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 $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n095.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 08:19:09 CST 2018
1.57/1.78	% done 1313 iterations in 1.570s
1.57/1.78	% SZS status Theorem for 'stdin'
1.57/1.78	% SZS output start Refutation
1.57/1.78	tff(zf_stmt_163, conjecture,
1.57/1.78	  (app_encode_app(int,$o,
1.57/1.78	                  app_encode_app(int,app_encode_fun(int,$o),ord_less_eq(int),
1.57/1.78	                                 zero_zero(int)),
1.57/1.78	                  app_encode_app(int,int,
1.57/1.78	                                 app_encode_app(int,app_encode_fun(int,int),
1.57/1.78	                                                times_times(int),
1.57/1.78	                                                app_encode_app(int,int,
1.57/1.78	                                                               number_number_of(
1.57/1.78	                                                               int),
1.57/1.78	                                                               app_encode_app(
1.57/1.78	                                                               int,int,bit0,
1.57/1.78	                                                               app_encode_app(
1.57/1.78	                                                               int,int,bit1,
1.57/1.78	                                                               pls)))),
1.57/1.78	                                 app_encode_app(int,int,abs_abs(int),v))) & 
1.57/1.78	   app_encode_app(int,$o,
1.57/1.78	                  app_encode_app(int,app_encode_fun(int,$o),ord_less_eq(int),
1.57/1.78	                                 zero_zero(int)),
1.57/1.78	                  app_encode_app(int,int,
1.57/1.78	                                 app_encode_app(int,app_encode_fun(int,int),
1.57/1.78	                                                times_times(int),
1.57/1.78	                                                app_encode_app(int,int,
1.57/1.78	                                                               number_number_of(
1.57/1.78	                                                               int),
1.57/1.78	                                                               app_encode_app(
1.57/1.78	                                                               int,int,bit0,
1.57/1.78	                                                               app_encode_app(
1.57/1.78	                                                               int,int,bit1,
1.57/1.78	                                                               pls)))),
1.57/1.78	                                 app_encode_app(int,int,abs_abs(int),w))))).
1.57/1.78	tff(zf_stmt_0, negated_conjecture,
1.57/1.78	  (~
1.57/1.78	    (app_encode_app(int,$o,
1.57/1.78	                    app_encode_app(int,app_encode_fun(int,$o),
1.57/1.78	                                   ord_less_eq(int),zero_zero(int)),
1.57/1.78	                    app_encode_app(int,int,
1.57/1.78	                                   app_encode_app(int,
1.57/1.78	                                                  app_encode_fun(int,int),
1.57/1.78	                                                  times_times(int),
1.57/1.78	                                                  app_encode_app(int,int,
1.57/1.78	                                                                 number_number_of(
1.57/1.78	                                                                 int),
1.57/1.78	                                                                 app_encode_app(
1.57/1.78	                                                                 int,int,
1.57/1.78	                                                                 bit0,
1.57/1.78	                                                                 app_encode_app(
1.57/1.78	                                                                 int,int,
1.57/1.78	                                                                 bit1,pls)))),
1.57/1.78	                                   app_encode_app(int,int,abs_abs(int),v))) & 
1.57/1.78	     app_encode_app(int,$o,
1.57/1.78	                    app_encode_app(int,app_encode_fun(int,$o),
1.57/1.78	                                   ord_less_eq(int),zero_zero(int)),
1.57/1.78	                    app_encode_app(int,int,
1.57/1.78	                                   app_encode_app(int,
1.57/1.78	                                                  app_encode_fun(int,int),
1.57/1.78	                                                  times_times(int),
1.57/1.78	                                                  app_encode_app(int,int,
1.57/1.78	                                                                 number_number_of(
1.57/1.78	                                                                 int),
1.57/1.78	                                                                 app_encode_app(
1.57/1.78	                                                                 int,int,
1.57/1.78	                                                                 bit0,
1.57/1.78	                                                                 app_encode_app(
1.57/1.78	                                                                 int,int,
1.57/1.78	                                                                 bit1,pls)))),
1.57/1.78	                                   app_encode_app(int,int,abs_abs(int),w)))))).
1.57/1.78	tff('0', plain,
1.57/1.78	    (~ app_encode_app(int, $o, 
1.57/1.78	         app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
1.57/1.78	           zero_zero(int)), 
1.57/1.78	         app_encode_app(int, int, 
1.57/1.78	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.57/1.78	             app_encode_app(int, int, number_number_of(int), 
1.57/1.78	               app_encode_app(int, int, bit0, 
1.57/1.78	                 app_encode_app(int, int, bit1, pls)))), 
1.57/1.78	           app_encode_app(int, int, abs_abs(int), v)))
1.57/1.78	     | ~ app_encode_app(int, $o, 
1.57/1.78	           app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
1.57/1.78	             zero_zero(int)), 
1.57/1.78	           app_encode_app(int, int, 
1.57/1.78	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.57/1.78	               app_encode_app(int, int, number_number_of(int), 
1.57/1.78	                 app_encode_app(int, int, bit0, 
1.57/1.78	                   app_encode_app(int, int, bit1, pls)))), 
1.57/1.78	             app_encode_app(int, int, abs_abs(int), w)))),
1.57/1.78	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.57/1.78	tff(zf_stmt_73, axiom, (pls = zero_zero(int))).
1.57/1.78	tff('1', plain, pls = zero_zero(int),
1.57/1.78	    inference('cnf', [status(esa)], [zf_stmt_73])).
1.57/1.78	tff(zf_stmt_70, axiom,
1.57/1.78	  (![K3:int]: (app_encode_app(int,int,number_number_of(int),K3) = K3))).
1.57/1.78	tff('2', plain,
1.57/1.78	    ![X80 : int]: app_encode_app(int, int, number_number_of(int), X80) = X80,
1.57/1.78	    inference('cnf', [status(esa)], [zf_stmt_70])).
1.57/1.78	tff(zf_stmt_66, axiom,
1.57/1.78	  (![L1:int,K3:int]:
1.57/1.78	     (app_encode_app(int,int,
1.57/1.78	                     app_encode_app(int,app_encode_fun(int,int),
1.57/1.78	                                    times_times(int),
1.57/1.78	                                    app_encode_app(int,int,bit0,K3)),
1.57/1.78	                     L1) =
1.57/1.78	      app_encode_app(int,int,bit0,
1.57/1.78	                     app_encode_app(int,int,
1.57/1.78	                                    app_encode_app(int,
1.57/1.78	                                                   app_encode_fun(int,int),
1.57/1.78	                                                   times_times(int),K3),
1.57/1.78	                                    L1))))).
1.57/1.78	tff('3', plain,
1.57/1.78	    ![X67 : int, X68 : int]:
1.57/1.78	      app_encode_app(int, int, 
1.57/1.78	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.57/1.78	          app_encode_app(int, int, bit0, X67)), X68)
1.57/1.78	       = app_encode_app(int, int, bit0, 
1.57/1.78	           app_encode_app(int, int, 
1.57/1.78	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.57/1.78	               X67), X68)),
1.57/1.78	    inference('cnf', [status(esa)], [zf_stmt_66])).
1.57/1.78	tff(zf_stmt_149, axiom, (number_ring(int))).
1.57/1.78	tff('4', plain, number_ring(int),
1.57/1.78	    inference('cnf', [status(esa)], [zf_stmt_149])).
1.57/1.78	tff(zf_stmt_86, axiom,
1.57/1.78	  (![A:$tType]:
1.57/1.78	     (number_ring(A) =>
1.57/1.78	      (![A1:A]:
1.57/1.78	         (app_encode_app(A,A,
1.57/1.78	                         app_encode_app(A,app_encode_fun(A,A),times_times(A),
1.57/1.78	                                        app_encode_app(int,A,
1.57/1.78	                                                       number_number_of(A),
1.57/1.78	                                                       app_encode_app(
1.57/1.78	                                                       int,int,bit1,pls))),
1.57/1.78	                         A1) =
1.57/1.78	          A1))))).
1.57/1.78	tff('5', plain,
1.57/1.78	    ![X110 : $tType, X111 : X110]:
1.57/1.78	      (app_encode_app(X110, X110, 
1.57/1.78	         app_encode_app(X110, app_encode_fun(X110, X110), times_times(X110), 
1.57/1.78	           app_encode_app(int, X110, number_number_of(X110), 
1.57/1.78	             app_encode_app(int, int, bit1, pls))), X111)
1.57/1.78	        = X111
1.57/1.78	       | ~ number_ring(X110)),
1.57/1.78	    inference('cnf', [status(esa)], [zf_stmt_86])).
1.57/1.78	tff('6', plain,
1.57/1.78	    ![X110 : $tType, X111 : X110]:
1.57/1.78	      (app_encode_app(X110, X110, 
1.57/1.78	         app_encode_app(X110, app_encode_fun(X110, X110), times_times(X110), 
1.57/1.78	           app_encode_app(int, X110, number_number_of(X110), 
1.57/1.78	             app_encode_app(int, int, bit1, zero_zero(int)))), X111)
1.57/1.78	        = X111
1.57/1.78	       | ~ number_ring(X110)),
1.57/1.78	    inference('demod', [status(thm)], ['5', '1'])).
1.57/1.78	tff('7', plain,
1.57/1.78	    ![X0 : int]:
1.57/1.78	      (~ $true
1.57/1.78	       | app_encode_app(int, int, 
1.57/1.78	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.57/1.78	             app_encode_app(int, int, number_number_of(int), 
1.57/1.78	               app_encode_app(int, int, bit1, zero_zero(int)))), X0)
1.57/1.78	          = X0),
1.57/1.78	    inference('sup-', [status(thm)], ['4', '6'])).
1.57/1.78	tff('8', plain,
1.57/1.78	    ![X0 : int]:
1.57/1.78	      (~ $true
1.57/1.78	       | app_encode_app(int, int, 
1.57/1.78	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.57/1.78	             app_encode_app(int, int, bit1, zero_zero(int))), X0)
1.57/1.78	          = X0),
1.57/1.78	    inference('demod', [status(thm)], ['7', '2'])).
1.57/1.78	tff('9', plain,
1.57/1.78	    ![X0 : int]:
1.57/1.78	      app_encode_app(int, int, 
1.57/1.78	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.57/1.78	          app_encode_app(int, int, bit1, zero_zero(int))), X0)
1.57/1.78	       = X0,
1.57/1.78	    inference('simplify', [status(thm)], ['8'])).
1.57/1.78	tff(zf_stmt_2, axiom,
1.57/1.78	  (![X:app_encode_fun(Alpha,Beta),Y:app_encode_fun(Alpha,Beta)]:
1.57/1.78	     ((![Z:Alpha]:
1.57/1.78	         (app_encode_app(Alpha,Beta,X,Z) = app_encode_app(Alpha,Beta,Y,Z))) =>
1.57/1.78	      (X = Y)))).
1.57/1.78	tff('10', plain,
1.57/1.78	    ![X0 : $tType, X1 : $tType, X2 : app_encode_fun(X0, X1), 
1.57/1.78	      X3 : app_encode_fun(X0, X1)]:
1.57/1.78	      (X3 = X2
1.57/1.78	       | app_encode_app(X0, X1, X3, sk_Z(X1, X0, X2, X3))
1.57/1.78	          != app_encode_app(X0, X1, X2, sk_Z(X1, X0, X2, X3))),
1.57/1.78	    inference('cnf', [status(esa)], [zf_stmt_2])).
1.57/1.78	tff('11', plain,
1.57/1.78	    ![X0 : app_encode_fun(int, int)]:
1.57/1.78	      (sk_Z(int, int, X0, number_number_of(int))
1.57/1.78	        != app_encode_app(int, int, X0, 
1.57/1.78	             sk_Z(int, int, X0, number_number_of(int)))
1.57/1.78	       | number_number_of(int) = X0),
1.57/1.78	    inference('sup-', [status(thm)], ['2', '10'])).
1.57/1.78	tff('12', plain,
1.57/1.78	    (sk_Z(int, int, 
1.57/1.78	       app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.57/1.78	         app_encode_app(int, int, bit1, zero_zero(int))), 
1.57/1.78	       number_number_of(int))
1.57/1.78	      != sk_Z(int, int, 
1.57/1.78	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.57/1.78	             app_encode_app(int, int, bit1, zero_zero(int))), 
1.57/1.78	           number_number_of(int))
1.57/1.78	     | number_number_of(int)
1.57/1.78	        = app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.57/1.78	            app_encode_app(int, int, bit1, zero_zero(int)))),
1.57/1.78	    inference('sup-', [status(thm)], ['9', '11'])).
1.57/1.78	tff('13', plain,
1.57/1.78	    number_number_of(int)
1.57/1.78	     = app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.57/1.78	         app_encode_app(int, int, bit1, zero_zero(int))),
1.57/1.78	    inference('simplify', [status(thm)], ['12'])).
1.57/1.78	tff(zf_stmt_48, axiom,
1.57/1.78	  (app_encode_app(int,$o,
1.57/1.78	                  app_encode_app(int,app_encode_fun(int,$o),ord_less_eq(int),
1.57/1.78	                                 zero_zero(int)),
1.57/1.78	                  app_encode_app(int,int,number_number_of(int),
1.57/1.78	                                 app_encode_app(int,int,bit0,
1.57/1.78	                                                app_encode_app(int,int,bit1,
1.57/1.78	                                                               pls)))))).
1.57/1.78	tff('14', plain,
1.57/1.78	    app_encode_app(int, $o, 
1.57/1.78	      app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
1.57/1.78	        zero_zero(int)), 
1.57/1.78	      app_encode_app(int, int, number_number_of(int), 
1.57/1.78	        app_encode_app(int, int, bit0, app_encode_app(int, int, bit1, pls)))),
1.57/1.78	    inference('cnf', [status(esa)], [zf_stmt_48])).
1.57/1.78	tff('15', plain,
1.57/1.78	    app_encode_app(int, $o, 
1.57/1.78	      app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
1.57/1.78	        zero_zero(int)), 
1.57/1.78	      app_encode_app(int, int, bit0, 
1.57/1.78	        app_encode_app(int, int, bit1, zero_zero(int)))),
1.57/1.78	    inference('demod', [status(thm)], ['14', '1', '2'])).
1.57/1.78	tff(zf_stmt_80, axiom,
1.57/1.78	  (![A:$tType]:
1.57/1.78	     (ordere142940540dd_abs(A) =>
1.57/1.78	      (![A1:A]:
1.57/1.78	         (app_encode_app(A,$o,
1.57/1.78	                         app_encode_app(A,app_encode_fun(A,$o),
1.57/1.78	                                        ord_less_eq(A),zero_zero(A)),
1.57/1.78	                         A1) =>
1.57/1.78	          (app_encode_app(A,A,abs_abs(A),A1) = A1)))))).
1.57/1.78	tff('16', plain,
1.57/1.78	    ![X98 : $tType, X99 : X98]:
1.57/1.78	      (~ app_encode_app(X98, $o, 
1.57/1.78	           app_encode_app(X98, app_encode_fun(X98, $o), ord_less_eq(X98), 
1.57/1.78	             zero_zero(X98)), X99)
1.57/1.78	       | app_encode_app(X98, X98, abs_abs(X98), X99) = X99
1.57/1.78	       | ~ ordere142940540dd_abs(X98)),
1.57/1.78	    inference('cnf', [status(esa)], [zf_stmt_80])).
1.57/1.78	tff('17', plain,
1.57/1.78	    (~ $true
1.57/1.78	     | ~ ordere142940540dd_abs(int)
1.57/1.78	     | app_encode_app(int, int, abs_abs(int), 
1.57/1.78	         app_encode_app(int, int, bit0, 
1.57/1.78	           app_encode_app(int, int, bit1, zero_zero(int))))
1.57/1.78	        = app_encode_app(int, int, bit0, 
1.57/1.78	            app_encode_app(int, int, bit1, zero_zero(int)))),
1.57/1.78	    inference('sup-', [status(thm)], ['15', '16'])).
1.57/1.78	tff(zf_stmt_134, axiom, (ordere142940540dd_abs(int))).
1.57/1.78	tff('18', plain, ordere142940540dd_abs(int),
1.57/1.78	    inference('cnf', [status(esa)], [zf_stmt_134])).
1.57/1.78	tff('19', plain,
1.57/1.78	    (~ $true
1.57/1.78	     | ~ $true
1.57/1.78	     | app_encode_app(int, int, abs_abs(int), 
1.57/1.78	         app_encode_app(int, int, bit0, 
1.57/1.78	           app_encode_app(int, int, bit1, zero_zero(int))))
1.57/1.78	        = app_encode_app(int, int, bit0, 
1.57/1.78	            app_encode_app(int, int, bit1, zero_zero(int)))),
1.57/1.78	    inference('demod', [status(thm)], ['17', '18'])).
1.57/1.78	tff('20', plain,
1.57/1.78	    app_encode_app(int, int, abs_abs(int), 
1.57/1.78	      app_encode_app(int, int, bit0, 
1.57/1.78	        app_encode_app(int, int, bit1, zero_zero(int))))
1.57/1.78	     = app_encode_app(int, int, bit0, 
1.57/1.78	         app_encode_app(int, int, bit1, zero_zero(int))),
1.57/1.78	    inference('simplify', [status(thm)], ['19'])).
1.57/1.78	tff(zf_stmt_144, axiom, (linordered_idom(int))).
1.57/1.78	tff('21', plain, linordered_idom(int),
1.57/1.78	    inference('cnf', [status(esa)], [zf_stmt_144])).
1.57/1.78	tff(zf_stmt_102, axiom,
1.57/1.78	  (![A:$tType]:
1.57/1.78	     (linordered_idom(A) =>
1.57/1.78	      (![B:A,A1:A]:
1.57/1.78	         (app_encode_app(A,A,abs_abs(A),
1.57/1.78	                         app_encode_app(A,A,
1.57/1.78	                                        app_encode_app(A,app_encode_fun(A,A),
1.57/1.78	                                                       times_times(A),A1),
1.57/1.78	                                        B)) =
1.57/1.78	          app_encode_app(A,A,
1.57/1.78	                         app_encode_app(A,app_encode_fun(A,A),times_times(A),
1.57/1.78	                                        app_encode_app(A,A,abs_abs(A),A1)),
1.57/1.78	                         app_encode_app(A,A,abs_abs(A),B))))))).
1.57/1.78	tff('22', plain,
1.57/1.78	    ![X141 : $tType, X142 : X141, X143 : X141]:
1.57/1.78	      (app_encode_app(X141, X141, abs_abs(X141), 
1.57/1.78	         app_encode_app(X141, X141, 
1.57/1.78	           app_encode_app(X141, app_encode_fun(X141, X141), 
1.57/1.78	             times_times(X141), X142), X143))
1.57/1.78	        = app_encode_app(X141, X141, 
1.57/1.78	            app_encode_app(X141, app_encode_fun(X141, X141), 
1.57/1.78	              times_times(X141), 
1.57/1.78	              app_encode_app(X141, X141, abs_abs(X141), X142)), 
1.57/1.78	            app_encode_app(X141, X141, abs_abs(X141), X143))
1.57/1.78	       | ~ linordered_idom(X141)),
1.57/1.78	    inference('cnf', [status(esa)], [zf_stmt_102])).
1.57/1.78	tff('23', plain,
1.57/1.78	    ![X0 : int, X1 : int]:
1.57/1.78	      (~ $true
1.57/1.78	       | app_encode_app(int, int, abs_abs(int), 
1.57/1.78	           app_encode_app(int, int, 
1.57/1.78	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.57/1.78	               X1), X0))
1.57/1.78	          = app_encode_app(int, int, 
1.57/1.78	              app_encode_app(int, app_encode_fun(int, int), 
1.57/1.78	                times_times(int), app_encode_app(int, int, abs_abs(int), X1)), 
1.57/1.78	              app_encode_app(int, int, abs_abs(int), X0))),
1.57/1.78	    inference('sup-', [status(thm)], ['21', '22'])).
1.57/1.78	tff('24', plain,
1.57/1.78	    ![X0 : int, X1 : int]:
1.57/1.78	      app_encode_app(int, int, abs_abs(int), 
1.57/1.78	        app_encode_app(int, int, 
1.57/1.78	          app_encode_app(int, app_encode_fun(int, int), times_times(int), X1), 
1.57/1.78	          X0))
1.57/1.78	       = app_encode_app(int, int, 
1.57/1.78	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.57/1.78	             app_encode_app(int, int, abs_abs(int), X1)), 
1.57/1.78	           app_encode_app(int, int, abs_abs(int), X0)),
1.57/1.78	    inference('simplify', [status(thm)], ['23'])).
1.57/1.78	tff('25', plain,
1.57/1.78	    ![X0 : int]:
1.57/1.78	      app_encode_app(int, int, abs_abs(int), 
1.57/1.78	        app_encode_app(int, int, 
1.57/1.78	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.57/1.78	            app_encode_app(int, int, bit0, 
1.57/1.78	              app_encode_app(int, int, bit1, zero_zero(int)))), X0))
1.57/1.78	       = app_encode_app(int, int, 
1.57/1.78	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.57/1.78	             app_encode_app(int, int, bit0, 
1.57/1.78	               app_encode_app(int, int, bit1, zero_zero(int)))), 
1.57/1.78	           app_encode_app(int, int, abs_abs(int), X0)),
1.57/1.78	    inference('sup+', [status(thm)], ['20', '24'])).
1.57/1.78	tff('26', plain,
1.57/1.78	    ![X0 : int]:
1.57/1.78	      app_encode_app(int, int, abs_abs(int), 
1.57/1.78	        app_encode_app(int, int, bit0, X0))
1.57/1.78	       = app_encode_app(int, int, bit0, 
1.57/1.78	           app_encode_app(int, int, abs_abs(int), X0)),
1.57/1.78	    inference('demod', [status(thm)], ['25', '3', '13', '2', '3', '13', '2'])).
1.57/1.78	tff(zf_stmt_81, axiom,
1.57/1.78	  (![A:$tType]:
1.57/1.78	     (ordere142940540dd_abs(A) =>
1.57/1.78	      (![A1:A]:
1.57/1.78	         app_encode_app(A,$o,
1.57/1.78	                        app_encode_app(A,app_encode_fun(A,$o),ord_less_eq(A),
1.57/1.78	                                       zero_zero(A)),
1.57/1.78	                        app_encode_app(A,A,abs_abs(A),A1)))))).
1.57/1.78	tff('27', plain,
1.57/1.78	    ![X100 : $tType, X101 : X100]:
1.57/1.78	      (app_encode_app(X100, $o, 
1.57/1.78	         app_encode_app(X100, app_encode_fun(X100, $o), ord_less_eq(X100), 
1.57/1.78	           zero_zero(X100)), app_encode_app(X100, X100, abs_abs(X100), X101))
1.57/1.78	       | ~ ordere142940540dd_abs(X100)),
1.57/1.78	    inference('cnf', [status(esa)], [zf_stmt_81])).
1.57/1.78	tff('28', plain,
1.57/1.78	    ![X0 : int]:
1.57/1.78	      (~ $true
1.57/1.78	       | app_encode_app(int, $o, 
1.57/1.78	           app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
1.57/1.78	             zero_zero(int)), app_encode_app(int, int, abs_abs(int), X0))),
1.57/1.78	    inference('sup-', [status(thm)], ['18', '27'])).
1.57/1.78	tff('29', plain,
1.57/1.78	    ![X0 : int]:
1.57/1.78	      app_encode_app(int, $o, 
1.57/1.78	        app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
1.57/1.78	          zero_zero(int)), app_encode_app(int, int, abs_abs(int), X0)),
1.57/1.78	    inference('simplify', [status(thm)], ['28'])).
1.57/1.78	tff('30', plain,
1.57/1.78	    ![X0 : int]:
1.57/1.78	      app_encode_app(int, $o, 
1.57/1.78	        app_encode_app(int, app_encode_fun(int, $o), ord_less_eq(int), 
1.57/1.78	          zero_zero(int)), 
1.57/1.78	        app_encode_app(int, int, bit0, 
1.57/1.78	          app_encode_app(int, int, abs_abs(int), X0))),
1.57/1.78	    inference('sup+', [status(thm)], ['26', '29'])).
1.57/1.78	tff('31', plain, (~ $true | ~ $true),
1.57/1.78	    inference('demod', [status(thm)],
1.57/1.78	              ['0', '1', '2', '3', '13', '2', '30', '1', '2', '3', '13', 
1.57/1.78	               '2', '30'])).
1.57/1.78	tff('32', plain, $false, inference('simplify', [status(thm)], ['31'])).
1.57/1.78	
1.57/1.78	% SZS output end Refutation
1.57/1.78	EOF
