0.00/0.01	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : appext
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : rpo6
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n085.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 10:39:53 CST 2018
0.00/0.39	% done 225 iterations in 0.183s
0.00/0.39	% SZS status Theorem for 'stdin'
0.00/0.39	% SZS output start Refutation
0.00/0.39	tff(zf_stmt_58, axiom,
0.00/0.39	  (app_encode_app(day,$o,all_on,saturday) | 
0.00/0.39	   app_encode_app(day,$o,all_on,friday) | 
0.00/0.39	   app_encode_app(day,$o,all_on,thursday) | 
0.00/0.39	   app_encode_app(day,$o,all_on,wednesday) | 
0.00/0.39	   app_encode_app(day,$o,all_on,tuesday) | 
0.00/0.39	   app_encode_app(day,$o,all_on,monday) | 
0.00/0.39	   app_encode_app(day,$o,all_on,sunday))).
0.00/0.39	tff('0', plain,
0.00/0.39	    (app_encode_app(day, $o, all_on, saturday)
0.00/0.39	     | app_encode_app(day, $o, all_on, friday)
0.00/0.39	     | app_encode_app(day, $o, all_on, thursday)
0.00/0.39	     | app_encode_app(day, $o, all_on, wednesday)
0.00/0.39	     | app_encode_app(day, $o, all_on, tuesday)
0.00/0.39	     | app_encode_app(day, $o, all_on, monday)
0.00/0.39	     | app_encode_app(day, $o, all_on, sunday)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_58])).
0.00/0.39	tff(zf_stmt_21, axiom,
0.00/0.39	  (![X:day]:
0.00/0.39	     (app_encode_app(day,$o,all_on,X) =>
0.00/0.39	      app_encode_app(day,$o,
0.00/0.39	                     app_encode_app(person,app_encode_fun(day,$o),on,b),X)))).
0.00/0.39	tff('1', plain,
0.00/0.39	    ![X5 : day]:
0.00/0.39	      (app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(person, app_encode_fun(day, $o), on, b), X5)
0.00/0.39	       | ~ app_encode_app(day, $o, all_on, X5)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_21])).
0.00/0.39	tff(zf_stmt_65, axiom,
0.00/0.39	  (~
0.00/0.39	    app_encode_app(day,$o,app_encode_app(person,app_encode_fun(day,$o),on,b),
0.00/0.39	                   saturday))).
0.00/0.39	tff('2', plain,
0.00/0.39	    ~ app_encode_app(day, $o, 
0.00/0.39	        app_encode_app(person, app_encode_fun(day, $o), on, b), saturday),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_65])).
0.00/0.39	tff('3', plain, (~ $true | ~ app_encode_app(day, $o, all_on, saturday)),
0.00/0.39	    inference('sup-', [status(thm)], ['1', '2'])).
0.00/0.39	tff('4', plain, ~ app_encode_app(day, $o, all_on, saturday),
0.00/0.39	    inference('simplify', [status(thm)], ['3'])).
0.00/0.39	tff('5', plain,
0.00/0.39	    (app_encode_app(day, $o, all_on, sunday)
0.00/0.39	     | app_encode_app(day, $o, all_on, monday)
0.00/0.39	     | app_encode_app(day, $o, all_on, tuesday)
0.00/0.39	     | app_encode_app(day, $o, all_on, wednesday)
0.00/0.39	     | app_encode_app(day, $o, all_on, thursday)
0.00/0.39	     | app_encode_app(day, $o, all_on, friday)),
0.00/0.39	    inference('clc', [status(thm)], ['0', '4'])).
0.00/0.39	tff(zf_stmt_20, axiom,
0.00/0.39	  (![X:day]:
0.00/0.39	     (app_encode_app(day,$o,all_on,X) =>
0.00/0.39	      app_encode_app(day,$o,
0.00/0.39	                     app_encode_app(person,app_encode_fun(day,$o),on,a),X)))).
0.00/0.39	tff('6', plain,
0.00/0.39	    ![X4 : day]:
0.00/0.39	      (app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(person, app_encode_fun(day, $o), on, a), X4)
0.00/0.39	       | ~ app_encode_app(day, $o, all_on, X4)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_20])).
0.00/0.39	tff(zf_stmt_61, axiom,
0.00/0.39	  (~
0.00/0.39	    app_encode_app(day,$o,app_encode_app(person,app_encode_fun(day,$o),on,a),
0.00/0.39	                   sunday))).
0.00/0.39	tff('7', plain,
0.00/0.39	    ~ app_encode_app(day, $o, 
0.00/0.39	        app_encode_app(person, app_encode_fun(day, $o), on, a), sunday),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_61])).
0.00/0.39	tff('8', plain, (~ $true | ~ app_encode_app(day, $o, all_on, sunday)),
0.00/0.39	    inference('sup-', [status(thm)], ['6', '7'])).
0.00/0.39	tff('9', plain, ~ app_encode_app(day, $o, all_on, sunday),
0.00/0.39	    inference('simplify', [status(thm)], ['8'])).
0.00/0.39	tff('10', plain,
0.00/0.39	    (app_encode_app(day, $o, all_on, friday)
0.00/0.39	     | app_encode_app(day, $o, all_on, thursday)
0.00/0.39	     | app_encode_app(day, $o, all_on, wednesday)
0.00/0.39	     | app_encode_app(day, $o, all_on, tuesday)
0.00/0.39	     | app_encode_app(day, $o, all_on, monday)),
0.00/0.39	    inference('clc', [status(thm)], ['5', '9'])).
0.00/0.39	tff(zf_stmt_67, conjecture, (app_encode_app(day,$o,all_on,friday))).
0.00/0.39	tff(zf_stmt_0, negated_conjecture, (~app_encode_app(day,$o,all_on,friday))).
0.00/0.39	tff('11', plain, ~ app_encode_app(day, $o, all_on, friday),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.39	tff('12', plain,
0.00/0.39	    (app_encode_app(day, $o, all_on, monday)
0.00/0.39	     | app_encode_app(day, $o, all_on, tuesday)
0.00/0.39	     | app_encode_app(day, $o, all_on, wednesday)
0.00/0.39	     | app_encode_app(day, $o, all_on, thursday)),
0.00/0.39	    inference('clc', [status(thm)], ['10', '11'])).
0.00/0.39	tff(zf_stmt_62, axiom,
0.00/0.39	  (~
0.00/0.39	    app_encode_app(day,$o,app_encode_app(person,app_encode_fun(day,$o),on,a),
0.00/0.39	                   tuesday))).
0.00/0.39	tff('13', plain,
0.00/0.39	    ~ app_encode_app(day, $o, 
0.00/0.39	        app_encode_app(person, app_encode_fun(day, $o), on, a), tuesday),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_62])).
0.00/0.39	tff('14', plain, (~ $true | ~ app_encode_app(day, $o, all_on, tuesday)),
0.00/0.39	    inference('sup-', [status(thm)], ['6', '13'])).
0.00/0.39	tff('15', plain, ~ app_encode_app(day, $o, all_on, tuesday),
0.00/0.39	    inference('simplify', [status(thm)], ['14'])).
0.00/0.39	tff('16', plain,
0.00/0.39	    (app_encode_app(day, $o, all_on, thursday)
0.00/0.39	     | app_encode_app(day, $o, all_on, wednesday)
0.00/0.39	     | app_encode_app(day, $o, all_on, monday)),
0.00/0.39	    inference('clc', [status(thm)], ['12', '15'])).
0.00/0.39	tff(zf_stmt_63, axiom,
0.00/0.39	  (~
0.00/0.39	    app_encode_app(day,$o,app_encode_app(person,app_encode_fun(day,$o),on,a),
0.00/0.39	                   thursday))).
0.00/0.39	tff('17', plain,
0.00/0.39	    ~ app_encode_app(day, $o, 
0.00/0.39	        app_encode_app(person, app_encode_fun(day, $o), on, a), thursday),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_63])).
0.00/0.39	tff('18', plain, (~ $true | ~ app_encode_app(day, $o, all_on, thursday)),
0.00/0.39	    inference('sup-', [status(thm)], ['6', '17'])).
0.00/0.39	tff('19', plain, ~ app_encode_app(day, $o, all_on, thursday),
0.00/0.39	    inference('simplify', [status(thm)], ['18'])).
0.00/0.39	tff('20', plain,
0.00/0.39	    (app_encode_app(day, $o, all_on, monday)
0.00/0.39	     | app_encode_app(day, $o, all_on, wednesday)),
0.00/0.39	    inference('clc', [status(thm)], ['16', '19'])).
0.00/0.39	tff(zf_stmt_60, axiom,
0.00/0.39	  (![X:person,Y:day,Z:day,W:person]:
0.00/0.39	     (app_encode_app(day,$o,
0.00/0.39	                     app_encode_app(person,app_encode_fun(day,$o),on,X),Y) | 
0.00/0.39	      app_encode_app(day,$o,
0.00/0.39	                     app_encode_app(person,app_encode_fun(day,$o),on,X),Z) | 
0.00/0.39	      app_encode_app(day,$o,
0.00/0.39	                     app_encode_app(person,app_encode_fun(day,$o),on,W),Y) | 
0.00/0.39	      app_encode_app(day,$o,
0.00/0.39	                     app_encode_app(person,app_encode_fun(day,$o),on,W),Z) | 
0.00/0.39	      app_encode_app(person,$o,
0.00/0.39	                     app_encode_app(person,app_encode_fun(person,$o),
0.00/0.39	                                    same_person,X),
0.00/0.39	                     W) | 
0.00/0.39	      app_encode_app(day,$o,
0.00/0.39	                     app_encode_app(day,app_encode_fun(day,$o),same_day,Y),Z)))).
0.00/0.39	tff('21', plain,
0.00/0.39	    ![X17 : person, X18 : day, X19 : day, X20 : person]:
0.00/0.39	      (app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(person, app_encode_fun(day, $o), on, X17), X18)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, X17), X19)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(day, app_encode_fun(day, $o), same_day, X18), X19)
0.00/0.39	       | app_encode_app(person, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(person, $o), same_person, 
0.00/0.39	             X17), X20)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, X20), X19)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, X20), X18)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_60])).
0.00/0.39	tff(zf_stmt_34, axiom,
0.00/0.39	  (~
0.00/0.39	    app_encode_app(person,$o,
0.00/0.39	                   app_encode_app(person,app_encode_fun(person,$o),
0.00/0.39	                                  same_person,a),
0.00/0.39	                   c))).
0.00/0.39	tff('22', plain,
0.00/0.39	    ~ app_encode_app(person, $o, 
0.00/0.39	        app_encode_app(person, app_encode_fun(person, $o), same_person, a), 
0.00/0.39	        c),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_34])).
0.00/0.39	tff('23', plain,
0.00/0.39	    ![X0 : day, X1 : day]:
0.00/0.39	      (~ $true
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, c), X0)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, c), X1)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(day, app_encode_fun(day, $o), same_day, X0), X1)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, a), X1)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, a), X0)),
0.00/0.39	    inference('sup-', [status(thm)], ['21', '22'])).
0.00/0.39	tff('24', plain,
0.00/0.39	    ![X0 : day, X1 : day]:
0.00/0.39	      (app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(person, app_encode_fun(day, $o), on, a), X0)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, a), X1)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(day, app_encode_fun(day, $o), same_day, X0), X1)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, c), X1)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, c), X0)),
0.00/0.39	    inference('simplify', [status(thm)], ['23'])).
0.00/0.39	tff(zf_stmt_66, axiom,
0.00/0.39	  (~
0.00/0.39	    app_encode_app(day,$o,app_encode_app(person,app_encode_fun(day,$o),on,c),
0.00/0.39	                   sunday))).
0.00/0.39	tff('25', plain,
0.00/0.39	    ~ app_encode_app(day, $o, 
0.00/0.39	        app_encode_app(person, app_encode_fun(day, $o), on, c), sunday),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_66])).
0.00/0.39	tff('26', plain,
0.00/0.39	    ![X0 : day]:
0.00/0.39	      (~ $true
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, c), X0)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(day, app_encode_fun(day, $o), same_day, sunday), 
0.00/0.39	           X0)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, a), X0)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, a), sunday)),
0.00/0.39	    inference('sup-', [status(thm)], ['24', '25'])).
0.00/0.39	tff('27', plain,
0.00/0.39	    ![X0 : day]:
0.00/0.39	      (app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(person, app_encode_fun(day, $o), on, a), sunday)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, a), X0)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(day, app_encode_fun(day, $o), same_day, sunday), 
0.00/0.39	           X0)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, c), X0)),
0.00/0.39	    inference('simplify', [status(thm)], ['26'])).
0.00/0.39	tff('28', plain,
0.00/0.39	    ![X0 : day]:
0.00/0.39	      (app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(person, app_encode_fun(day, $o), on, c), X0)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(day, app_encode_fun(day, $o), same_day, sunday), 
0.00/0.39	           X0)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, a), X0)),
0.00/0.39	    inference('clc', [status(thm)], ['27', '7'])).
0.00/0.39	tff(zf_stmt_22, axiom,
0.00/0.39	  (![X:day]:
0.00/0.39	     (app_encode_app(day,$o,all_on,X) =>
0.00/0.39	      app_encode_app(day,$o,
0.00/0.39	                     app_encode_app(person,app_encode_fun(day,$o),on,c),X)))).
0.00/0.39	tff('29', plain,
0.00/0.39	    ![X6 : day]:
0.00/0.39	      (app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(person, app_encode_fun(day, $o), on, c), X6)
0.00/0.39	       | ~ app_encode_app(day, $o, all_on, X6)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_22])).
0.00/0.39	tff(zf_stmt_29, axiom,
0.00/0.39	  (app_encode_app(day,$o,
0.00/0.39	                  app_encode_app(day,app_encode_fun(day,$o),consecutive,
0.00/0.39	                                 thursday),
0.00/0.39	                  friday))).
0.00/0.39	tff('30', plain,
0.00/0.39	    app_encode_app(day, $o, 
0.00/0.39	      app_encode_app(day, app_encode_fun(day, $o), consecutive, thursday), 
0.00/0.39	      friday),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_29])).
0.00/0.39	tff(zf_stmt_28, axiom,
0.00/0.39	  (app_encode_app(day,$o,
0.00/0.39	                  app_encode_app(day,app_encode_fun(day,$o),consecutive,
0.00/0.39	                                 wednesday),
0.00/0.39	                  thursday))).
0.00/0.39	tff('31', plain,
0.00/0.39	    app_encode_app(day, $o, 
0.00/0.39	      app_encode_app(day, app_encode_fun(day, $o), consecutive, wednesday), 
0.00/0.39	      thursday),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_28])).
0.00/0.39	tff(zf_stmt_27, axiom,
0.00/0.39	  (app_encode_app(day,$o,
0.00/0.39	                  app_encode_app(day,app_encode_fun(day,$o),consecutive,
0.00/0.39	                                 tuesday),
0.00/0.39	                  wednesday))).
0.00/0.39	tff('32', plain,
0.00/0.39	    app_encode_app(day, $o, 
0.00/0.39	      app_encode_app(day, app_encode_fun(day, $o), consecutive, tuesday), 
0.00/0.39	      wednesday),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_27])).
0.00/0.39	tff(zf_stmt_59, axiom,
0.00/0.39	  (![X:day,Y:day,Z:day,W:day,U:person]:
0.00/0.39	     (~
0.00/0.39	       (app_encode_app(day,$o,
0.00/0.39	                       app_encode_app(day,app_encode_fun(day,$o),consecutive,
0.00/0.39	                                      X),
0.00/0.39	                       Y) & 
0.00/0.39	        app_encode_app(day,$o,
0.00/0.39	                       app_encode_app(day,app_encode_fun(day,$o),consecutive,
0.00/0.39	                                      Y),
0.00/0.39	                       Z) & 
0.00/0.39	        app_encode_app(day,$o,
0.00/0.39	                       app_encode_app(day,app_encode_fun(day,$o),consecutive,
0.00/0.39	                                      Z),
0.00/0.39	                       W) & 
0.00/0.39	        app_encode_app(day,$o,
0.00/0.39	                       app_encode_app(person,app_encode_fun(day,$o),on,U),X) & 
0.00/0.39	        app_encode_app(day,$o,
0.00/0.39	                       app_encode_app(person,app_encode_fun(day,$o),on,U),Y) & 
0.00/0.39	        app_encode_app(day,$o,
0.00/0.39	                       app_encode_app(person,app_encode_fun(day,$o),on,U),Z))))).
0.00/0.39	tff('33', plain,
0.00/0.39	    ![X12 : day, X13 : day, X14 : day, X15 : day, X16 : person]:
0.00/0.39	      (~ app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(day, app_encode_fun(day, $o), consecutive, X12), 
0.00/0.39	           X13)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(day, app_encode_fun(day, $o), consecutive, X13), 
0.00/0.39	             X14)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(day, app_encode_fun(day, $o), consecutive, X14), 
0.00/0.39	             X15)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X16), X14)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X16), X13)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X16), X12)),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_59])).
0.00/0.39	tff('34', plain,
0.00/0.39	    ![X0 : person, X1 : day, X2 : day]:
0.00/0.39	      (~ $true
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), 
0.00/0.39	             tuesday)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), 
0.00/0.39	             wednesday)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), X1)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(day, app_encode_fun(day, $o), consecutive, X1), 
0.00/0.39	             X2)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(day, app_encode_fun(day, $o), consecutive, 
0.00/0.39	               wednesday), X1)),
0.00/0.39	    inference('sup-', [status(thm)], ['32', '33'])).
0.00/0.39	tff('35', plain,
0.00/0.39	    ![X0 : person, X1 : day, X2 : day]:
0.00/0.39	      (~ app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(day, app_encode_fun(day, $o), consecutive, 
0.00/0.39	             wednesday), X1)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(day, app_encode_fun(day, $o), consecutive, X1), 
0.00/0.39	             X2)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), X1)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), 
0.00/0.39	             wednesday)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), 
0.00/0.39	             tuesday)),
0.00/0.39	    inference('simplify', [status(thm)], ['34'])).
0.00/0.39	tff('36', plain,
0.00/0.39	    ![X0 : person, X1 : day]:
0.00/0.39	      (~ $true
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), 
0.00/0.39	             tuesday)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), 
0.00/0.39	             wednesday)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), 
0.00/0.39	             thursday)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(day, app_encode_fun(day, $o), consecutive, 
0.00/0.39	               thursday), X1)),
0.00/0.39	    inference('sup-', [status(thm)], ['31', '35'])).
0.00/0.39	tff('37', plain,
0.00/0.39	    ![X0 : person, X1 : day]:
0.00/0.39	      (~ app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(day, app_encode_fun(day, $o), consecutive, 
0.00/0.39	             thursday), X1)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), 
0.00/0.39	             thursday)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), 
0.00/0.39	             wednesday)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), 
0.00/0.39	             tuesday)),
0.00/0.39	    inference('simplify', [status(thm)], ['36'])).
0.00/0.39	tff('38', plain,
0.00/0.39	    ![X0 : person]:
0.00/0.39	      (~ $true
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), 
0.00/0.39	             tuesday)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), 
0.00/0.39	             wednesday)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), 
0.00/0.39	             thursday)),
0.00/0.39	    inference('sup-', [status(thm)], ['30', '37'])).
0.00/0.39	tff('39', plain,
0.00/0.39	    ![X0 : person]:
0.00/0.39	      (~ app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, X0), thursday)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), 
0.00/0.39	             wednesday)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), 
0.00/0.39	             tuesday)),
0.00/0.39	    inference('simplify', [status(thm)], ['38'])).
0.00/0.39	tff('40', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | ~ app_encode_app(day, $o, all_on, wednesday)
0.00/0.39	     | ~ app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, c), tuesday)
0.00/0.39	     | ~ app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, c), thursday)),
0.00/0.39	    inference('sup-', [status(thm)], ['29', '39'])).
0.00/0.39	tff('41', plain,
0.00/0.39	    (~ app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(person, app_encode_fun(day, $o), on, c), thursday)
0.00/0.39	     | ~ app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, c), tuesday)
0.00/0.39	     | ~ app_encode_app(day, $o, all_on, wednesday)),
0.00/0.39	    inference('simplify', [status(thm)], ['40'])).
0.00/0.39	tff('42', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(person, app_encode_fun(day, $o), on, a), tuesday)
0.00/0.39	     | app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(day, app_encode_fun(day, $o), same_day, sunday), 
0.00/0.39	         tuesday)
0.00/0.39	     | ~ app_encode_app(day, $o, all_on, wednesday)
0.00/0.39	     | ~ app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, c), thursday)),
0.00/0.39	    inference('sup-', [status(thm)], ['28', '41'])).
0.00/0.39	tff('43', plain,
0.00/0.39	    (~ app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(person, app_encode_fun(day, $o), on, c), thursday)
0.00/0.39	     | ~ app_encode_app(day, $o, all_on, wednesday)
0.00/0.39	     | app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(day, app_encode_fun(day, $o), same_day, sunday), 
0.00/0.39	         tuesday)
0.00/0.39	     | app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(person, app_encode_fun(day, $o), on, a), tuesday)),
0.00/0.39	    inference('simplify', [status(thm)], ['42'])).
0.00/0.39	tff(zf_stmt_38, axiom,
0.00/0.39	  (~
0.00/0.39	    app_encode_app(day,$o,
0.00/0.39	                   app_encode_app(day,app_encode_fun(day,$o),same_day,sunday),
0.00/0.39	                   tuesday))).
0.00/0.39	tff('44', plain,
0.00/0.39	    ~ app_encode_app(day, $o, 
0.00/0.39	        app_encode_app(day, app_encode_fun(day, $o), same_day, sunday), 
0.00/0.39	        tuesday),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_38])).
0.00/0.39	tff('45', plain,
0.00/0.39	    (app_encode_app(day, $o, 
0.00/0.39	       app_encode_app(person, app_encode_fun(day, $o), on, a), tuesday)
0.00/0.39	     | ~ app_encode_app(day, $o, all_on, wednesday)
0.00/0.39	     | ~ app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, c), thursday)),
0.00/0.39	    inference('clc', [status(thm)], ['43', '44'])).
0.00/0.39	tff('46', plain,
0.00/0.39	    (~ app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(person, app_encode_fun(day, $o), on, c), thursday)
0.00/0.39	     | ~ app_encode_app(day, $o, all_on, wednesday)),
0.00/0.39	    inference('clc', [status(thm)], ['45', '13'])).
0.00/0.39	tff('47', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(person, app_encode_fun(day, $o), on, a), thursday)
0.00/0.39	     | app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(day, app_encode_fun(day, $o), same_day, sunday), 
0.00/0.39	         thursday)
0.00/0.39	     | ~ app_encode_app(day, $o, all_on, wednesday)),
0.00/0.39	    inference('sup-', [status(thm)], ['28', '46'])).
0.00/0.39	tff('48', plain,
0.00/0.39	    (~ app_encode_app(day, $o, all_on, wednesday)
0.00/0.39	     | app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(day, app_encode_fun(day, $o), same_day, sunday), 
0.00/0.39	         thursday)
0.00/0.39	     | app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(person, app_encode_fun(day, $o), on, a), thursday)),
0.00/0.39	    inference('simplify', [status(thm)], ['47'])).
0.00/0.39	tff(zf_stmt_40, axiom,
0.00/0.39	  (~
0.00/0.39	    app_encode_app(day,$o,
0.00/0.39	                   app_encode_app(day,app_encode_fun(day,$o),same_day,sunday),
0.00/0.39	                   thursday))).
0.00/0.39	tff('49', plain,
0.00/0.39	    ~ app_encode_app(day, $o, 
0.00/0.39	        app_encode_app(day, app_encode_fun(day, $o), same_day, sunday), 
0.00/0.39	        thursday),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_40])).
0.00/0.39	tff('50', plain,
0.00/0.39	    (app_encode_app(day, $o, 
0.00/0.39	       app_encode_app(person, app_encode_fun(day, $o), on, a), thursday)
0.00/0.39	     | ~ app_encode_app(day, $o, all_on, wednesday)),
0.00/0.39	    inference('clc', [status(thm)], ['48', '49'])).
0.00/0.39	tff('51', plain, ~ app_encode_app(day, $o, all_on, wednesday),
0.00/0.39	    inference('clc', [status(thm)], ['50', '17'])).
0.00/0.39	tff('52', plain, (~ $true | app_encode_app(day, $o, all_on, monday)),
0.00/0.39	    inference('sup-', [status(thm)], ['20', '51'])).
0.00/0.39	tff('53', plain, app_encode_app(day, $o, all_on, monday),
0.00/0.39	    inference('simplify', [status(thm)], ['52'])).
0.00/0.39	tff(zf_stmt_33, axiom,
0.00/0.39	  (~
0.00/0.39	    app_encode_app(person,$o,
0.00/0.39	                   app_encode_app(person,app_encode_fun(person,$o),
0.00/0.39	                                  same_person,a),
0.00/0.39	                   b))).
0.00/0.39	tff('54', plain,
0.00/0.39	    ~ app_encode_app(person, $o, 
0.00/0.39	        app_encode_app(person, app_encode_fun(person, $o), same_person, a), 
0.00/0.39	        b),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_33])).
0.00/0.39	tff('55', plain,
0.00/0.39	    ![X0 : day, X1 : day]:
0.00/0.39	      (~ $true
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, b), X0)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, b), X1)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(day, app_encode_fun(day, $o), same_day, X0), X1)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, a), X1)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, a), X0)),
0.00/0.39	    inference('sup-', [status(thm)], ['21', '54'])).
0.00/0.39	tff('56', plain,
0.00/0.39	    ![X0 : day, X1 : day]:
0.00/0.39	      (app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(person, app_encode_fun(day, $o), on, a), X0)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, a), X1)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(day, app_encode_fun(day, $o), same_day, X0), X1)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, b), X1)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, b), X0)),
0.00/0.39	    inference('simplify', [status(thm)], ['55'])).
0.00/0.39	tff(zf_stmt_64, axiom,
0.00/0.39	  (~
0.00/0.39	    app_encode_app(day,$o,app_encode_app(person,app_encode_fun(day,$o),on,b),
0.00/0.39	                   thursday))).
0.00/0.39	tff('57', plain,
0.00/0.39	    ~ app_encode_app(day, $o, 
0.00/0.39	        app_encode_app(person, app_encode_fun(day, $o), on, b), thursday),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_64])).
0.00/0.39	tff('58', plain,
0.00/0.39	    ![X0 : day]:
0.00/0.39	      (~ $true
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, b), X0)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(day, app_encode_fun(day, $o), same_day, X0), 
0.00/0.39	           thursday)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, a), thursday)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, a), X0)),
0.00/0.39	    inference('sup-', [status(thm)], ['56', '57'])).
0.00/0.39	tff('59', plain,
0.00/0.39	    ![X0 : day]:
0.00/0.39	      (app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(person, app_encode_fun(day, $o), on, a), X0)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, a), thursday)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(day, app_encode_fun(day, $o), same_day, X0), 
0.00/0.39	           thursday)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, b), X0)),
0.00/0.39	    inference('simplify', [status(thm)], ['58'])).
0.00/0.39	tff('60', plain,
0.00/0.39	    ![X0 : day]:
0.00/0.39	      (app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(person, app_encode_fun(day, $o), on, b), X0)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(day, app_encode_fun(day, $o), same_day, X0), 
0.00/0.39	           thursday)
0.00/0.39	       | app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, a), X0)),
0.00/0.39	    inference('clc', [status(thm)], ['59', '17'])).
0.00/0.39	tff(zf_stmt_26, axiom,
0.00/0.39	  (app_encode_app(day,$o,
0.00/0.39	                  app_encode_app(day,app_encode_fun(day,$o),consecutive,
0.00/0.39	                                 monday),
0.00/0.39	                  tuesday))).
0.00/0.39	tff('61', plain,
0.00/0.39	    app_encode_app(day, $o, 
0.00/0.39	      app_encode_app(day, app_encode_fun(day, $o), consecutive, monday), 
0.00/0.39	      tuesday),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_26])).
0.00/0.39	tff(zf_stmt_25, axiom,
0.00/0.39	  (app_encode_app(day,$o,
0.00/0.39	                  app_encode_app(day,app_encode_fun(day,$o),consecutive,
0.00/0.39	                                 sunday),
0.00/0.39	                  monday))).
0.00/0.39	tff('62', plain,
0.00/0.39	    app_encode_app(day, $o, 
0.00/0.39	      app_encode_app(day, app_encode_fun(day, $o), consecutive, sunday), 
0.00/0.39	      monday),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_25])).
0.00/0.39	tff('63', plain,
0.00/0.39	    ![X0 : person, X1 : day, X2 : day]:
0.00/0.39	      (~ $true
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), sunday)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), monday)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), X1)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(day, app_encode_fun(day, $o), consecutive, X1), 
0.00/0.39	             X2)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(day, app_encode_fun(day, $o), consecutive, 
0.00/0.39	               monday), X1)),
0.00/0.39	    inference('sup-', [status(thm)], ['62', '33'])).
0.00/0.39	tff('64', plain,
0.00/0.39	    ![X0 : person, X1 : day, X2 : day]:
0.00/0.39	      (~ app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(day, app_encode_fun(day, $o), consecutive, monday), 
0.00/0.39	           X1)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(day, app_encode_fun(day, $o), consecutive, X1), 
0.00/0.39	             X2)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), X1)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), monday)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), sunday)),
0.00/0.39	    inference('simplify', [status(thm)], ['63'])).
0.00/0.39	tff('65', plain,
0.00/0.39	    ![X0 : person, X1 : day]:
0.00/0.39	      (~ $true
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), sunday)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), monday)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), 
0.00/0.39	             tuesday)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(day, app_encode_fun(day, $o), consecutive, 
0.00/0.39	               tuesday), X1)),
0.00/0.39	    inference('sup-', [status(thm)], ['61', '64'])).
0.00/0.39	tff('66', plain,
0.00/0.39	    ![X0 : person, X1 : day]:
0.00/0.39	      (~ app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(day, app_encode_fun(day, $o), consecutive, tuesday), 
0.00/0.39	           X1)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), 
0.00/0.39	             tuesday)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), monday)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), sunday)),
0.00/0.39	    inference('simplify', [status(thm)], ['65'])).
0.00/0.39	tff('67', plain,
0.00/0.39	    ![X0 : person]:
0.00/0.39	      (~ $true
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), sunday)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), monday)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), 
0.00/0.39	             tuesday)),
0.00/0.39	    inference('sup-', [status(thm)], ['32', '66'])).
0.00/0.39	tff('68', plain,
0.00/0.39	    ![X0 : person]:
0.00/0.39	      (~ app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, X0), tuesday)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), monday)
0.00/0.39	       | ~ app_encode_app(day, $o, 
0.00/0.39	             app_encode_app(person, app_encode_fun(day, $o), on, X0), sunday)),
0.00/0.39	    inference('simplify', [status(thm)], ['67'])).
0.00/0.39	tff('69', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | ~ app_encode_app(day, $o, all_on, monday)
0.00/0.39	     | ~ app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, b), sunday)
0.00/0.39	     | ~ app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, b), tuesday)),
0.00/0.39	    inference('sup-', [status(thm)], ['1', '68'])).
0.00/0.39	tff('70', plain,
0.00/0.39	    (~ app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(person, app_encode_fun(day, $o), on, b), tuesday)
0.00/0.39	     | ~ app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, b), sunday)
0.00/0.39	     | ~ app_encode_app(day, $o, all_on, monday)),
0.00/0.39	    inference('simplify', [status(thm)], ['69'])).
0.00/0.39	tff('71', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(person, app_encode_fun(day, $o), on, a), tuesday)
0.00/0.39	     | app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(day, app_encode_fun(day, $o), same_day, tuesday), 
0.00/0.39	         thursday)
0.00/0.39	     | ~ app_encode_app(day, $o, all_on, monday)
0.00/0.39	     | ~ app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, b), sunday)),
0.00/0.39	    inference('sup-', [status(thm)], ['60', '70'])).
0.00/0.39	tff('72', plain,
0.00/0.39	    (~ app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(person, app_encode_fun(day, $o), on, b), sunday)
0.00/0.39	     | ~ app_encode_app(day, $o, all_on, monday)
0.00/0.39	     | app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(day, app_encode_fun(day, $o), same_day, tuesday), 
0.00/0.39	         thursday)
0.00/0.39	     | app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(person, app_encode_fun(day, $o), on, a), tuesday)),
0.00/0.39	    inference('simplify', [status(thm)], ['71'])).
0.00/0.39	tff(zf_stmt_49, axiom,
0.00/0.39	  (~
0.00/0.39	    app_encode_app(day,$o,
0.00/0.39	                   app_encode_app(day,app_encode_fun(day,$o),same_day,tuesday),
0.00/0.39	                   thursday))).
0.00/0.39	tff('73', plain,
0.00/0.39	    ~ app_encode_app(day, $o, 
0.00/0.39	        app_encode_app(day, app_encode_fun(day, $o), same_day, tuesday), 
0.00/0.39	        thursday),
0.00/0.39	    inference('cnf', [status(esa)], [zf_stmt_49])).
0.00/0.39	tff('74', plain,
0.00/0.39	    (app_encode_app(day, $o, 
0.00/0.39	       app_encode_app(person, app_encode_fun(day, $o), on, a), tuesday)
0.00/0.39	     | ~ app_encode_app(day, $o, all_on, monday)
0.00/0.39	     | ~ app_encode_app(day, $o, 
0.00/0.39	           app_encode_app(person, app_encode_fun(day, $o), on, b), sunday)),
0.00/0.39	    inference('clc', [status(thm)], ['72', '73'])).
0.00/0.39	tff('75', plain,
0.00/0.39	    (~ app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(person, app_encode_fun(day, $o), on, b), sunday)
0.00/0.39	     | ~ app_encode_app(day, $o, all_on, monday)),
0.00/0.39	    inference('clc', [status(thm)], ['74', '13'])).
0.00/0.39	tff('76', plain,
0.00/0.39	    (~ $true
0.00/0.39	     | app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(person, app_encode_fun(day, $o), on, a), sunday)
0.00/0.39	     | app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(day, app_encode_fun(day, $o), same_day, sunday), 
0.00/0.39	         thursday)
0.00/0.39	     | ~ app_encode_app(day, $o, all_on, monday)),
0.00/0.39	    inference('sup-', [status(thm)], ['60', '75'])).
0.00/0.39	tff('77', plain,
0.00/0.39	    (~ app_encode_app(day, $o, all_on, monday)
0.00/0.39	     | app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(day, app_encode_fun(day, $o), same_day, sunday), 
0.00/0.39	         thursday)
0.00/0.39	     | app_encode_app(day, $o, 
0.00/0.39	         app_encode_app(person, app_encode_fun(day, $o), on, a), sunday)),
0.00/0.39	    inference('simplify', [status(thm)], ['76'])).
0.00/0.39	tff('78', plain,
0.00/0.39	    (app_encode_app(day, $o, 
0.00/0.39	       app_encode_app(person, app_encode_fun(day, $o), on, a), sunday)
0.00/0.39	     | ~ app_encode_app(day, $o, all_on, monday)),
0.00/0.39	    inference('clc', [status(thm)], ['77', '49'])).
0.00/0.39	tff('79', plain, ~ app_encode_app(day, $o, all_on, monday),
0.00/0.39	    inference('clc', [status(thm)], ['78', '7'])).
0.00/0.39	tff('80', plain, ~ $true, inference('sup-', [status(thm)], ['53', '79'])).
0.00/0.39	tff('81', plain, $false, inference('simplify', [status(thm)], ['80'])).
0.00/0.39	
0.00/0.39	% SZS output end Refutation
0.00/0.39	EOF
