0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : purification_ext
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-avatar \
0.00/0.01	  --ho \
0.00/0.01	  --force-ho \
0.00/0.01	  --no-ho-elim-pred-var \
0.00/0.01	  --ho-general-ext-pos \
0.00/0.01	  --no-ho-unif \
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	  --ho-purify ext \
0.00/0.01	  --ho-ext-axiom \
0.00/0.01	  --restrict-hidden-sup-at-vars \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n156.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
4.94/5.13	% done 723 iterations in 4.915s
4.94/5.13	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
4.94/5.13	% SZS output start Refutation
4.94/5.13	tff(no_two_off_twice_together, axiom,
4.94/5.13	  (![X:person,Y:day,Z:day,W:person]:
4.94/5.13	     (same_day(Y,Z) | same_person(X,W) | on(W,Z) | on(W,Y) | on(X,Z) | 
4.94/5.13	      on(X,Y)))).
4.94/5.13	tff('0', plain,
4.94/5.13	    ![X13 : day, X14 : day, X15 : person, X16 : person]:
4.94/5.13	      (same_day(X13, X14)
4.94/5.13	       | on(X15, X14)
4.94/5.13	       | on(X15, X13)
4.94/5.13	       | on(X16, X13)
4.94/5.13	       | on(X16, X14)
4.94/5.13	       | same_person(X15, X16)),
4.94/5.13	    inference('cnf', [status(esa)], [no_two_off_twice_together])).
4.94/5.13	tff(a_not_b, axiom, (~same_person(a,b))).
4.94/5.13	tff('1', plain, ~ same_person(a, b),
4.94/5.13	    inference('cnf', [status(esa)], [a_not_b])).
4.94/5.13	tff('2', plain,
4.94/5.13	    ![X0 : day, X1 : day]:
4.94/5.13	      (~ $true
4.94/5.13	       | on(b, X0)
4.94/5.13	       | on(b, X1)
4.94/5.13	       | on(a, X1)
4.94/5.13	       | on(a, X0)
4.94/5.13	       | same_day(X1, X0)),
4.94/5.13	    inference('sup-', [status(thm)], ['0', '1'])).
4.94/5.13	tff('3', plain,
4.94/5.13	    ![X0 : day, X1 : day]:
4.94/5.13	      (same_day(X1, X0) | on(a, X0) | on(a, X1) | on(b, X1) | on(b, X0)),
4.94/5.13	    inference('simplify', [status(thm)], ['2'])).
4.94/5.13	tff(b_off_thursday, axiom, (~on(b,thursday))).
4.94/5.13	tff('4', plain, ~ on(b, thursday),
4.94/5.14	    inference('cnf', [status(esa)], [b_off_thursday])).
4.94/5.14	tff('5', plain,
4.94/5.14	    ![X0 : day]:
4.94/5.14	      (~ $true
4.94/5.14	       | on(b, X0)
4.94/5.14	       | on(a, X0)
4.94/5.14	       | on(a, thursday)
4.94/5.14	       | same_day(X0, thursday)),
4.94/5.14	    inference('sup-', [status(thm)], ['3', '4'])).
4.94/5.14	tff('6', plain,
4.94/5.14	    ![X0 : day]:
4.94/5.14	      (same_day(X0, thursday) | on(a, thursday) | on(a, X0) | on(b, X0)),
4.94/5.14	    inference('simplify', [status(thm)], ['5'])).
4.94/5.14	tff(a_off_thursday, axiom, (~on(a,thursday))).
4.94/5.14	tff('7', plain, ~ on(a, thursday),
4.94/5.14	    inference('cnf', [status(esa)], [a_off_thursday])).
4.94/5.14	tff('8', plain,
4.94/5.14	    ![X0 : day]: (on(b, X0) | on(a, X0) | same_day(X0, thursday)),
4.94/5.14	    inference('clc', [status(thm)], ['6', '7'])).
4.94/5.14	tff(a_not_c, axiom, (~same_person(a,c))).
4.94/5.14	tff('9', plain, ~ same_person(a, c),
4.94/5.14	    inference('cnf', [status(esa)], [a_not_c])).
4.94/5.14	tff('10', plain,
4.94/5.14	    ![X0 : day, X1 : day]:
4.94/5.14	      (~ $true
4.94/5.14	       | on(c, X0)
4.94/5.14	       | on(c, X1)
4.94/5.14	       | on(a, X1)
4.94/5.14	       | on(a, X0)
4.94/5.14	       | same_day(X1, X0)),
4.94/5.14	    inference('sup-', [status(thm)], ['0', '9'])).
4.94/5.14	tff('11', plain,
4.94/5.14	    ![X0 : day, X1 : day]:
4.94/5.14	      (same_day(X1, X0) | on(a, X0) | on(a, X1) | on(c, X1) | on(c, X0)),
4.94/5.14	    inference('simplify', [status(thm)], ['10'])).
4.94/5.14	tff(c_off_sunday, axiom, (~on(c,sunday))).
4.94/5.14	tff('12', plain, ~ on(c, sunday),
4.94/5.14	    inference('cnf', [status(esa)], [c_off_sunday])).
4.94/5.14	tff('13', plain,
4.94/5.14	    ![X0 : day]:
4.94/5.14	      (~ $true | on(c, X0) | on(a, sunday) | on(a, X0) | same_day(sunday, X0)),
4.94/5.14	    inference('sup-', [status(thm)], ['11', '12'])).
4.94/5.14	tff('14', plain,
4.94/5.14	    ![X0 : day]:
4.94/5.14	      (same_day(sunday, X0) | on(a, X0) | on(a, sunday) | on(c, X0)),
4.94/5.14	    inference('simplify', [status(thm)], ['13'])).
4.94/5.14	tff(a_off_sunday, axiom, (~on(a,sunday))).
4.94/5.14	tff('15', plain, ~ on(a, sunday),
4.94/5.14	    inference('cnf', [status(esa)], [a_off_sunday])).
4.94/5.14	tff('16', plain, ![X0 : day]: (on(c, X0) | on(a, X0) | same_day(sunday, X0)),
4.94/5.14	    inference('clc', [status(thm)], ['14', '15'])).
4.94/5.14	tff(all_on_one_day, axiom,
4.94/5.14	  (all_on(sunday) | all_on(monday) | all_on(tuesday) | all_on(wednesday) | 
4.94/5.14	   all_on(thursday) | all_on(friday) | all_on(saturday))).
4.94/5.14	tff('17', plain,
4.94/5.14	    (all_on(sunday)
4.94/5.14	     | all_on(monday)
4.94/5.14	     | all_on(tuesday)
4.94/5.14	     | all_on(wednesday)
4.94/5.14	     | all_on(thursday)
4.94/5.14	     | all_on(friday)
4.94/5.14	     | all_on(saturday)),
4.94/5.14	    inference('cnf', [status(esa)], [all_on_one_day])).
4.94/5.14	tff(prove_all_on_friday, conjecture, (all_on(friday))).
4.94/5.14	tff(zf_stmt_0, negated_conjecture, (~all_on(friday))).
4.94/5.14	tff('18', plain, ~ all_on(friday),
4.94/5.14	    inference('cnf', [status(esa)], [zf_stmt_0])).
4.94/5.14	tff('19', plain,
4.94/5.14	    (all_on(saturday)
4.94/5.14	     | all_on(thursday)
4.94/5.14	     | all_on(wednesday)
4.94/5.14	     | all_on(tuesday)
4.94/5.14	     | all_on(monday)
4.94/5.14	     | all_on(sunday)),
4.94/5.14	    inference('clc', [status(thm)], ['17', '18'])).
4.94/5.14	tff(all_on_c_on, axiom, (![X:day]: (all_on(X) => on(c,X)))).
4.94/5.14	tff('20', plain, ![X2 : day]: (on(c, X2) | ~ all_on(X2)),
4.94/5.14	    inference('cnf', [status(esa)], [all_on_c_on])).
4.94/5.14	tff('21', plain,
4.94/5.14	    (~ $true
4.94/5.14	     | all_on(sunday)
4.94/5.14	     | all_on(monday)
4.94/5.14	     | all_on(tuesday)
4.94/5.14	     | all_on(thursday)
4.94/5.14	     | all_on(saturday)
4.94/5.14	     | on(c, wednesday)),
4.94/5.14	    inference('sup-', [status(thm)], ['19', '20'])).
4.94/5.14	tff('22', plain,
4.94/5.14	    (on(c, wednesday)
4.94/5.14	     | all_on(saturday)
4.94/5.14	     | all_on(thursday)
4.94/5.14	     | all_on(tuesday)
4.94/5.14	     | all_on(monday)
4.94/5.14	     | all_on(sunday)),
4.94/5.14	    inference('simplify', [status(thm)], ['21'])).
4.94/5.14	tff(wednesday_follows_tuesday, axiom, (consecutive(tuesday,wednesday))).
4.94/5.14	tff('23', plain, consecutive(tuesday, wednesday),
4.94/5.14	    inference('cnf', [status(esa)], [wednesday_follows_tuesday])).
4.94/5.14	tff(thursday_follows_wednesday, axiom, (consecutive(wednesday,thursday))).
4.94/5.14	tff('24', plain, consecutive(wednesday, thursday),
4.94/5.14	    inference('cnf', [status(esa)], [thursday_follows_wednesday])).
4.94/5.14	tff(friday_follows_thursday, axiom, (consecutive(thursday,friday))).
4.94/5.14	tff('25', plain, consecutive(thursday, friday),
4.94/5.14	    inference('cnf', [status(esa)], [friday_follows_thursday])).
4.94/5.14	tff(not_on_for_3_days, axiom,
4.94/5.14	  (![X:day,Y:day,Z:day,W:day,U:person]:
4.94/5.14	     (~
4.94/5.14	       (on(U,Z) & on(U,Y) & on(U,X) & consecutive(Z,W) & consecutive(Y,Z) & 
4.94/5.14	        consecutive(X,Y))))).
4.94/5.14	tff('26', plain,
4.94/5.14	    ![X8 : day, X9 : day, X10 : day, X11 : day, X12 : person]:
4.94/5.14	      (~ consecutive(X8, X9)
4.94/5.14	       | ~ consecutive(X10, X8)
4.94/5.14	       | ~ consecutive(X11, X10)
4.94/5.14	       | ~ on(X12, X11)
4.94/5.14	       | ~ on(X12, X10)
4.94/5.14	       | ~ on(X12, X8)),
4.94/5.14	    inference('cnf', [status(esa)], [not_on_for_3_days])).
4.94/5.14	tff('27', plain,
4.94/5.14	    ![X0 : person, X1 : day, X2 : day]:
4.94/5.14	      (~ $true
4.94/5.14	       | ~ on(X0, thursday)
4.94/5.14	       | ~ on(X0, X1)
4.94/5.14	       | ~ on(X0, X2)
4.94/5.14	       | ~ consecutive(X2, X1)
4.94/5.14	       | ~ consecutive(X1, thursday)),
4.94/5.14	    inference('sup-', [status(thm)], ['25', '26'])).
4.94/5.14	tff('28', plain,
4.94/5.14	    ![X0 : person, X1 : day, X2 : day]:
4.94/5.14	      (~ consecutive(X1, thursday)
4.94/5.14	       | ~ consecutive(X2, X1)
4.94/5.14	       | ~ on(X0, X2)
4.94/5.14	       | ~ on(X0, X1)
4.94/5.14	       | ~ on(X0, thursday)),
4.94/5.14	    inference('simplify', [status(thm)], ['27'])).
4.94/5.14	tff('29', plain,
4.94/5.14	    ![X0 : person, X1 : day]:
4.94/5.14	      (~ $true
4.94/5.14	       | ~ on(X0, thursday)
4.94/5.14	       | ~ on(X0, wednesday)
4.94/5.14	       | ~ on(X0, X1)
4.94/5.14	       | ~ consecutive(X1, wednesday)),
4.94/5.14	    inference('sup-', [status(thm)], ['24', '28'])).
4.94/5.14	tff('30', plain,
4.94/5.14	    ![X0 : person, X1 : day]:
4.94/5.14	      (~ consecutive(X1, wednesday)
4.94/5.14	       | ~ on(X0, X1)
4.94/5.14	       | ~ on(X0, wednesday)
4.94/5.14	       | ~ on(X0, thursday)),
4.94/5.14	    inference('simplify', [status(thm)], ['29'])).
4.94/5.14	tff('31', plain,
4.94/5.14	    ![X0 : person]:
4.94/5.14	      (~ $true | ~ on(X0, thursday) | ~ on(X0, wednesday) | ~ on(X0, tuesday)),
4.94/5.14	    inference('sup-', [status(thm)], ['23', '30'])).
4.94/5.14	tff('32', plain,
4.94/5.14	    ![X0 : person]:
4.94/5.14	      (~ on(X0, tuesday) | ~ on(X0, wednesday) | ~ on(X0, thursday)),
4.94/5.14	    inference('simplify', [status(thm)], ['31'])).
4.94/5.14	tff('33', plain,
4.94/5.14	    (~ $true
4.94/5.14	     | all_on(sunday)
4.94/5.14	     | all_on(monday)
4.94/5.14	     | all_on(tuesday)
4.94/5.14	     | all_on(thursday)
4.94/5.14	     | all_on(saturday)
4.94/5.14	     | ~ on(c, thursday)
4.94/5.14	     | ~ on(c, tuesday)),
4.94/5.14	    inference('sup-', [status(thm)], ['22', '32'])).
4.94/5.14	tff('34', plain,
4.94/5.14	    (~ on(c, tuesday)
4.94/5.14	     | ~ on(c, thursday)
4.94/5.14	     | all_on(saturday)
4.94/5.14	     | all_on(thursday)
4.94/5.14	     | all_on(tuesday)
4.94/5.14	     | all_on(monday)
4.94/5.14	     | all_on(sunday)),
4.94/5.14	    inference('simplify', [status(thm)], ['33'])).
4.94/5.14	tff('35', plain,
4.94/5.14	    (~ $true
4.94/5.14	     | same_day(sunday, tuesday)
4.94/5.14	     | on(a, tuesday)
4.94/5.14	     | all_on(sunday)
4.94/5.14	     | all_on(monday)
4.94/5.14	     | all_on(tuesday)
4.94/5.14	     | all_on(thursday)
4.94/5.14	     | all_on(saturday)
4.94/5.14	     | ~ on(c, thursday)),
4.94/5.14	    inference('sup-', [status(thm)], ['16', '34'])).
4.94/5.14	tff('36', plain,
4.94/5.14	    (~ on(c, thursday)
4.94/5.14	     | all_on(saturday)
4.94/5.14	     | all_on(thursday)
4.94/5.14	     | all_on(tuesday)
4.94/5.14	     | all_on(monday)
4.94/5.14	     | all_on(sunday)
4.94/5.14	     | on(a, tuesday)
4.94/5.14	     | same_day(sunday, tuesday)),
4.94/5.14	    inference('simplify', [status(thm)], ['35'])).
4.94/5.14	tff(all_on_a_on, axiom, (![X:day]: (all_on(X) => on(a,X)))).
4.94/5.14	tff('37', plain, ![X0 : day]: (on(a, X0) | ~ all_on(X0)),
4.94/5.14	    inference('cnf', [status(esa)], [all_on_a_on])).
4.94/5.14	tff('38', plain,
4.94/5.14	    (same_day(sunday, tuesday)
4.94/5.14	     | on(a, tuesday)
4.94/5.14	     | all_on(sunday)
4.94/5.14	     | all_on(monday)
4.94/5.14	     | all_on(thursday)
4.94/5.14	     | all_on(saturday)
4.94/5.14	     | ~ on(c, thursday)),
4.94/5.14	    inference('clc', [status(thm)], ['36', '37'])).
4.94/5.14	tff(sunday_not_tuesday, axiom, (~same_day(sunday,tuesday))).
4.94/5.14	tff('39', plain, ~ same_day(sunday, tuesday),
4.94/5.14	    inference('cnf', [status(esa)], [sunday_not_tuesday])).
4.94/5.14	tff('40', plain,
4.94/5.14	    (~ on(c, thursday)
4.94/5.14	     | all_on(saturday)
4.94/5.14	     | all_on(thursday)
4.94/5.14	     | all_on(monday)
4.94/5.14	     | all_on(sunday)
4.94/5.14	     | on(a, tuesday)),
4.94/5.14	    inference('clc', [status(thm)], ['38', '39'])).
4.94/5.14	tff(a_off_tuesday, axiom, (~on(a,tuesday))).
4.94/5.14	tff('41', plain, ~ on(a, tuesday),
4.94/5.14	    inference('cnf', [status(esa)], [a_off_tuesday])).
4.94/5.14	tff('42', plain,
4.94/5.14	    (all_on(sunday)
4.94/5.14	     | all_on(monday)
4.94/5.14	     | all_on(thursday)
4.94/5.14	     | all_on(saturday)
4.94/5.14	     | ~ on(c, thursday)),
4.94/5.14	    inference('clc', [status(thm)], ['40', '41'])).
4.94/5.14	tff('43', plain,
4.94/5.14	    (~ $true
4.94/5.14	     | same_day(sunday, thursday)
4.94/5.14	     | on(a, thursday)
4.94/5.14	     | all_on(saturday)
4.94/5.14	     | all_on(thursday)
4.94/5.14	     | all_on(monday)
4.94/5.14	     | all_on(sunday)),
4.94/5.14	    inference('sup-', [status(thm)], ['16', '42'])).
4.94/5.14	tff('44', plain,
4.94/5.14	    (all_on(sunday)
4.94/5.14	     | all_on(monday)
4.94/5.14	     | all_on(thursday)
4.94/5.14	     | all_on(saturday)
4.94/5.14	     | on(a, thursday)
4.94/5.14	     | same_day(sunday, thursday)),
4.94/5.14	    inference('simplify', [status(thm)], ['43'])).
4.94/5.14	tff('45', plain,
4.94/5.14	    (same_day(sunday, thursday)
4.94/5.14	     | on(a, thursday)
4.94/5.14	     | all_on(saturday)
4.94/5.14	     | all_on(monday)
4.94/5.14	     | all_on(sunday)),
4.94/5.14	    inference('clc', [status(thm)], ['44', '37'])).
4.94/5.14	tff(sunday_not_thursday, axiom, (~same_day(sunday,thursday))).
4.94/5.14	tff('46', plain, ~ same_day(sunday, thursday),
4.94/5.14	    inference('cnf', [status(esa)], [sunday_not_thursday])).
4.94/5.14	tff('47', plain,
4.94/5.14	    (all_on(sunday) | all_on(monday) | all_on(saturday) | on(a, thursday)),
4.94/5.14	    inference('clc', [status(thm)], ['45', '46'])).
4.94/5.14	tff('48', plain, (all_on(saturday) | all_on(monday) | all_on(sunday)),
4.94/5.14	    inference('clc', [status(thm)], ['47', '7'])).
4.94/5.14	tff(all_on_b_on, axiom, (![X:day]: (all_on(X) => on(b,X)))).
4.94/5.14	tff('49', plain, ![X1 : day]: (on(b, X1) | ~ all_on(X1)),
4.94/5.14	    inference('cnf', [status(esa)], [all_on_b_on])).
4.94/5.14	tff('50', plain,
4.94/5.14	    (~ $true | all_on(sunday) | all_on(saturday) | on(b, monday)),
4.94/5.14	    inference('sup-', [status(thm)], ['48', '49'])).
4.94/5.14	tff('51', plain, (on(b, monday) | all_on(saturday) | all_on(sunday)),
4.94/5.14	    inference('simplify', [status(thm)], ['50'])).
4.94/5.14	tff(b_not_c, axiom, (~same_person(b,c))).
4.94/5.14	tff('52', plain, ~ same_person(b, c),
4.94/5.14	    inference('cnf', [status(esa)], [b_not_c])).
4.94/5.14	tff('53', plain,
4.94/5.14	    ![X0 : day, X1 : day]:
4.94/5.14	      (~ $true
4.94/5.14	       | on(c, X0)
4.94/5.14	       | on(c, X1)
4.94/5.14	       | on(b, X1)
4.94/5.14	       | on(b, X0)
4.94/5.14	       | same_day(X1, X0)),
4.94/5.14	    inference('sup-', [status(thm)], ['0', '52'])).
4.94/5.14	tff('54', plain,
4.94/5.14	    ![X0 : day, X1 : day]:
4.94/5.14	      (same_day(X1, X0) | on(b, X0) | on(b, X1) | on(c, X1) | on(c, X0)),
4.94/5.14	    inference('simplify', [status(thm)], ['53'])).
4.94/5.14	tff('55', plain,
4.94/5.14	    ![X0 : day]:
4.94/5.14	      (~ $true | on(c, X0) | on(b, sunday) | on(b, X0) | same_day(sunday, X0)),
4.94/5.14	    inference('sup-', [status(thm)], ['54', '12'])).
4.94/5.14	tff('56', plain,
4.94/5.14	    ![X0 : day]:
4.94/5.14	      (same_day(sunday, X0) | on(b, X0) | on(b, sunday) | on(c, X0)),
4.94/5.14	    inference('simplify', [status(thm)], ['55'])).
4.94/5.14	tff('57', plain,
4.94/5.14	    (~ $true
4.94/5.14	     | on(b, sunday)
4.94/5.14	     | on(b, wednesday)
4.94/5.14	     | same_day(sunday, wednesday)
4.94/5.14	     | ~ on(c, thursday)
4.94/5.14	     | ~ on(c, tuesday)),
4.94/5.14	    inference('sup-', [status(thm)], ['56', '32'])).
4.94/5.14	tff('58', plain,
4.94/5.14	    (~ on(c, tuesday)
4.94/5.14	     | ~ on(c, thursday)
4.94/5.14	     | same_day(sunday, wednesday)
4.94/5.14	     | on(b, wednesday)
4.94/5.14	     | on(b, sunday)),
4.94/5.14	    inference('simplify', [status(thm)], ['57'])).
4.94/5.14	tff(sunday_not_wednesday, axiom, (~same_day(sunday,wednesday))).
4.94/5.14	tff('59', plain, ~ same_day(sunday, wednesday),
4.94/5.14	    inference('cnf', [status(esa)], [sunday_not_wednesday])).
4.94/5.14	tff('60', plain,
4.94/5.14	    (on(b, sunday) | on(b, wednesday) | ~ on(c, thursday) | ~ on(c, tuesday)),
4.94/5.14	    inference('clc', [status(thm)], ['58', '59'])).
4.94/5.14	tff('61', plain,
4.94/5.14	    (~ $true
4.94/5.14	     | same_day(sunday, tuesday)
4.94/5.14	     | on(a, tuesday)
4.94/5.14	     | ~ on(c, thursday)
4.94/5.14	     | on(b, wednesday)
4.94/5.14	     | on(b, sunday)),
4.94/5.14	    inference('sup-', [status(thm)], ['16', '60'])).
4.94/5.14	tff('62', plain,
4.94/5.14	    (on(b, sunday)
4.94/5.14	     | on(b, wednesday)
4.94/5.14	     | ~ on(c, thursday)
4.94/5.14	     | on(a, tuesday)
4.94/5.14	     | same_day(sunday, tuesday)),
4.94/5.14	    inference('simplify', [status(thm)], ['61'])).
4.94/5.14	tff('63', plain,
4.94/5.14	    (same_day(sunday, tuesday)
4.94/5.14	     | ~ on(c, thursday)
4.94/5.14	     | on(b, wednesday)
4.94/5.14	     | on(b, sunday)),
4.94/5.14	    inference('clc', [status(thm)], ['62', '41'])).
4.94/5.14	tff('64', plain, (on(b, sunday) | on(b, wednesday) | ~ on(c, thursday)),
4.94/5.14	    inference('clc', [status(thm)], ['63', '39'])).
4.94/5.14	tff('65', plain,
4.94/5.14	    (~ $true
4.94/5.14	     | same_day(sunday, thursday)
4.94/5.14	     | on(a, thursday)
4.94/5.14	     | on(b, wednesday)
4.94/5.14	     | on(b, sunday)),
4.94/5.14	    inference('sup-', [status(thm)], ['16', '64'])).
4.94/5.14	tff('66', plain,
4.94/5.14	    (on(b, sunday)
4.94/5.14	     | on(b, wednesday)
4.94/5.14	     | on(a, thursday)
4.94/5.14	     | same_day(sunday, thursday)),
4.94/5.14	    inference('simplify', [status(thm)], ['65'])).
4.94/5.14	tff('67', plain,
4.94/5.14	    (same_day(sunday, thursday) | on(b, wednesday) | on(b, sunday)),
4.94/5.14	    inference('clc', [status(thm)], ['66', '7'])).
4.94/5.14	tff('68', plain, (on(b, sunday) | on(b, wednesday)),
4.94/5.14	    inference('clc', [status(thm)], ['67', '46'])).
4.94/5.14	tff(tuesday_follows_monday, axiom, (consecutive(monday,tuesday))).
4.94/5.14	tff('69', plain, consecutive(monday, tuesday),
4.94/5.14	    inference('cnf', [status(esa)], [tuesday_follows_monday])).
4.94/5.14	tff('70', plain,
4.94/5.14	    ![X0 : person, X1 : day, X2 : day]:
4.94/5.14	      (~ $true
4.94/5.14	       | ~ on(X0, wednesday)
4.94/5.14	       | ~ on(X0, X1)
4.94/5.14	       | ~ on(X0, X2)
4.94/5.14	       | ~ consecutive(X2, X1)
4.94/5.14	       | ~ consecutive(X1, wednesday)),
4.94/5.14	    inference('sup-', [status(thm)], ['24', '26'])).
4.94/5.14	tff('71', plain,
4.94/5.14	    ![X0 : person, X1 : day, X2 : day]:
4.94/5.14	      (~ consecutive(X1, wednesday)
4.94/5.14	       | ~ consecutive(X2, X1)
4.94/5.14	       | ~ on(X0, X2)
4.94/5.14	       | ~ on(X0, X1)
4.94/5.14	       | ~ on(X0, wednesday)),
4.94/5.14	    inference('simplify', [status(thm)], ['70'])).
4.94/5.14	tff('72', plain,
4.94/5.14	    ![X0 : person, X1 : day]:
4.94/5.14	      (~ $true
4.94/5.14	       | ~ on(X0, wednesday)
4.94/5.14	       | ~ on(X0, tuesday)
4.94/5.14	       | ~ on(X0, X1)
4.94/5.14	       | ~ consecutive(X1, tuesday)),
4.94/5.14	    inference('sup-', [status(thm)], ['23', '71'])).
4.94/5.14	tff('73', plain,
4.94/5.14	    ![X0 : person, X1 : day]:
4.94/5.14	      (~ consecutive(X1, tuesday)
4.94/5.14	       | ~ on(X0, X1)
4.94/5.14	       | ~ on(X0, tuesday)
4.94/5.14	       | ~ on(X0, wednesday)),
4.94/5.14	    inference('simplify', [status(thm)], ['72'])).
4.94/5.14	tff('74', plain,
4.94/5.14	    ![X0 : person]:
4.94/5.14	      (~ $true | ~ on(X0, wednesday) | ~ on(X0, tuesday) | ~ on(X0, monday)),
4.94/5.14	    inference('sup-', [status(thm)], ['69', '73'])).
4.94/5.14	tff('75', plain,
4.94/5.14	    ![X0 : person]:
4.94/5.14	      (~ on(X0, monday) | ~ on(X0, tuesday) | ~ on(X0, wednesday)),
4.94/5.14	    inference('simplify', [status(thm)], ['74'])).
4.94/5.14	tff('76', plain,
4.94/5.14	    (~ $true | on(b, sunday) | ~ on(b, tuesday) | ~ on(b, monday)),
4.94/5.14	    inference('sup-', [status(thm)], ['68', '75'])).
4.94/5.14	tff('77', plain, (~ on(b, monday) | ~ on(b, tuesday) | on(b, sunday)),
4.94/5.14	    inference('simplify', [status(thm)], ['76'])).
4.94/5.14	tff(monday_follows_sunday, axiom, (consecutive(sunday,monday))).
4.94/5.14	tff('78', plain, consecutive(sunday, monday),
4.94/5.14	    inference('cnf', [status(esa)], [monday_follows_sunday])).
4.94/5.14	tff('79', plain,
4.94/5.14	    ![X0 : person, X1 : day, X2 : day]:
4.94/5.14	      (~ $true
4.94/5.14	       | ~ on(X0, tuesday)
4.94/5.14	       | ~ on(X0, X1)
4.94/5.14	       | ~ on(X0, X2)
4.94/5.14	       | ~ consecutive(X2, X1)
4.94/5.14	       | ~ consecutive(X1, tuesday)),
4.94/5.14	    inference('sup-', [status(thm)], ['23', '26'])).
4.94/5.14	tff('80', plain,
4.94/5.14	    ![X0 : person, X1 : day, X2 : day]:
4.94/5.14	      (~ consecutive(X1, tuesday)
4.94/5.14	       | ~ consecutive(X2, X1)
4.94/5.14	       | ~ on(X0, X2)
4.94/5.14	       | ~ on(X0, X1)
4.94/5.14	       | ~ on(X0, tuesday)),
4.94/5.14	    inference('simplify', [status(thm)], ['79'])).
4.94/5.14	tff('81', plain,
4.94/5.14	    ![X0 : person, X1 : day]:
4.94/5.14	      (~ $true
4.94/5.14	       | ~ on(X0, tuesday)
4.94/5.14	       | ~ on(X0, monday)
4.94/5.14	       | ~ on(X0, X1)
4.94/5.14	       | ~ consecutive(X1, monday)),
4.94/5.14	    inference('sup-', [status(thm)], ['69', '80'])).
4.94/5.14	tff('82', plain,
4.94/5.14	    ![X0 : person, X1 : day]:
4.94/5.14	      (~ consecutive(X1, monday)
4.94/5.14	       | ~ on(X0, X1)
4.94/5.14	       | ~ on(X0, monday)
4.94/5.14	       | ~ on(X0, tuesday)),
4.94/5.14	    inference('simplify', [status(thm)], ['81'])).
4.94/5.14	tff('83', plain,
4.94/5.14	    ![X0 : person]:
4.94/5.14	      (~ $true | ~ on(X0, tuesday) | ~ on(X0, monday) | ~ on(X0, sunday)),
4.94/5.14	    inference('sup-', [status(thm)], ['78', '82'])).
4.94/5.14	tff('84', plain,
4.94/5.14	    ![X0 : person]: (~ on(X0, sunday) | ~ on(X0, monday) | ~ on(X0, tuesday)),
4.94/5.14	    inference('simplify', [status(thm)], ['83'])).
4.94/5.14	tff('85', plain, (~ on(b, tuesday) | ~ on(b, monday)),
4.94/5.14	    inference('clc', [status(thm)], ['77', '84'])).
4.94/5.14	tff('86', plain,
4.94/5.14	    (~ $true | all_on(sunday) | all_on(saturday) | ~ on(b, tuesday)),
4.94/5.14	    inference('sup-', [status(thm)], ['51', '85'])).
4.94/5.14	tff('87', plain, (~ on(b, tuesday) | all_on(saturday) | all_on(sunday)),
4.94/5.14	    inference('simplify', [status(thm)], ['86'])).
4.94/5.14	tff('88', plain,
4.94/5.14	    (~ $true
4.94/5.14	     | same_day(tuesday, thursday)
4.94/5.14	     | on(a, tuesday)
4.94/5.14	     | all_on(sunday)
4.94/5.14	     | all_on(saturday)),
4.94/5.14	    inference('sup-', [status(thm)], ['8', '87'])).
4.94/5.14	tff('89', plain,
4.94/5.14	    (all_on(saturday)
4.94/5.14	     | all_on(sunday)
4.94/5.14	     | on(a, tuesday)
4.94/5.14	     | same_day(tuesday, thursday)),
4.94/5.14	    inference('simplify', [status(thm)], ['88'])).
4.94/5.14	tff('90', plain,
4.94/5.14	    (same_day(tuesday, thursday) | all_on(sunday) | all_on(saturday)),
4.94/5.14	    inference('clc', [status(thm)], ['89', '41'])).
4.94/5.14	tff(tuesday_not_thursday, axiom, (~same_day(tuesday,thursday))).
4.94/5.14	tff('91', plain, ~ same_day(tuesday, thursday),
4.94/5.14	    inference('cnf', [status(esa)], [tuesday_not_thursday])).
4.94/5.14	tff('92', plain, (all_on(saturday) | all_on(sunday)),
4.94/5.14	    inference('clc', [status(thm)], ['90', '91'])).
4.94/5.14	tff('93', plain, (~ $true | all_on(sunday) | on(b, saturday)),
4.94/5.14	    inference('sup-', [status(thm)], ['92', '49'])).
4.94/5.14	tff('94', plain, (on(b, saturday) | all_on(sunday)),
4.94/5.14	    inference('simplify', [status(thm)], ['93'])).
4.94/5.14	tff(b_off_saturday, axiom, (~on(b,saturday))).
4.94/5.14	tff('95', plain, ~ on(b, saturday),
4.94/5.14	    inference('cnf', [status(esa)], [b_off_saturday])).
4.94/5.14	tff('96', plain, all_on(sunday),
4.94/5.14	    inference('clc', [status(thm)], ['94', '95'])).
4.94/5.14	tff('97', plain, (~ $true | on(a, sunday)),
4.94/5.14	    inference('sup-', [status(thm)], ['96', '37'])).
4.94/5.14	tff('98', plain, on(a, sunday), inference('simplify', [status(thm)], ['97'])).
4.94/5.14	tff('99', plain, ~ $true, inference('sup-', [status(thm)], ['98', '15'])).
4.94/5.14	tff('100', plain, $false, inference('simplify', [status(thm)], ['99'])).
4.94/5.14	
4.94/5.14	% SZS output end Refutation
4.94/5.14	EOF
