0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : app
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-ho \
0.00/0.00	  --no-avatar \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2 \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.19	% Computer   : n153.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 07:51:24 CST 2018
1.63/1.81	% done 845 iterations in 1.608s
1.63/1.81	% SZS status Theorem for 'stdin'
1.63/1.81	% SZS output start Refutation
1.63/1.81	tff(zf_stmt_37, axiom,
1.63/1.81	  (app_encode_app(product_prod(int,int),int,twoSqu196287499sum2sq,
1.63/1.81	                  app_encode_app(int,product_prod(int,int),
1.63/1.81	                                 app_encode_app(int,
1.63/1.81	                                                app_encode_fun(int,
1.63/1.81	                                                               product_prod(
1.63/1.81	                                                               int,int)),
1.63/1.81	                                                product_Pair(int,int),s),
1.63/1.81	                                 one_one(int))) =
1.63/1.81	   app_encode_app(int,int,
1.63/1.81	                  app_encode_app(int,app_encode_fun(int,int),
1.63/1.81	                                 times_times(int),
1.63/1.81	                                 app_encode_app(int,int,
1.63/1.81	                                                app_encode_app(int,
1.63/1.81	                                                               app_encode_fun(
1.63/1.81	                                                               int,int),
1.63/1.81	                                                               plus_plus(int),
1.63/1.81	                                                               app_encode_app(
1.63/1.81	                                                               int,int,
1.63/1.81	                                                               app_encode_app(
1.63/1.81	                                                               int,
1.63/1.81	                                                               app_encode_fun(
1.63/1.81	                                                               int,int),
1.63/1.81	                                                               times_times(
1.63/1.81	                                                               int),
1.63/1.81	                                                               app_encode_app(
1.63/1.81	                                                               int,int,
1.63/1.81	                                                               number_number_of(
1.63/1.81	                                                               int),
1.63/1.81	                                                               app_encode_app(
1.63/1.81	                                                               int,int,bit0,
1.63/1.81	                                                               app_encode_app(
1.63/1.81	                                                               int,int,bit0,
1.63/1.81	                                                               app_encode_app(
1.63/1.81	                                                               int,int,bit1,
1.63/1.81	                                                               pls))))),m)),
1.63/1.81	                                                one_one(int))),
1.63/1.81	                  t))).
1.63/1.81	tff('0', plain,
1.63/1.81	    app_encode_app(product_prod(int, int), int, twoSqu196287499sum2sq, 
1.63/1.81	      app_encode_app(int, product_prod(int, int), 
1.63/1.81	        app_encode_app(int, app_encode_fun(int, product_prod(int, int)), 
1.63/1.81	          product_Pair(int, int), s), one_one(int)))
1.63/1.81	     = app_encode_app(int, int, 
1.63/1.81	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.63/1.81	           app_encode_app(int, int, 
1.63/1.81	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.63/1.81	               app_encode_app(int, int, 
1.63/1.81	                 app_encode_app(int, app_encode_fun(int, int), 
1.63/1.81	                   times_times(int), 
1.63/1.81	                   app_encode_app(int, int, number_number_of(int), 
1.63/1.81	                     app_encode_app(int, int, bit0, 
1.63/1.81	                       app_encode_app(int, int, bit0, 
1.63/1.81	                         app_encode_app(int, int, bit1, pls))))), m)), 
1.63/1.81	             one_one(int))), t),
1.63/1.81	    inference('cnf', [status(esa)], [zf_stmt_37])).
1.63/1.81	tff(zf_stmt_68, axiom,
1.63/1.81	  (![K1:int]: (app_encode_app(int,int,number_number_of(int),K1) = K1))).
1.63/1.81	tff('1', plain,
1.63/1.81	    ![X65 : int]: app_encode_app(int, int, number_number_of(int), X65) = X65,
1.63/1.81	    inference('cnf', [status(esa)], [zf_stmt_68])).
1.63/1.81	tff('2', plain,
1.63/1.81	    app_encode_app(product_prod(int, int), int, twoSqu196287499sum2sq, 
1.63/1.81	      app_encode_app(int, product_prod(int, int), 
1.63/1.81	        app_encode_app(int, app_encode_fun(int, product_prod(int, int)), 
1.63/1.81	          product_Pair(int, int), s), one_one(int)))
1.63/1.81	     = app_encode_app(int, int, 
1.63/1.81	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.63/1.81	           app_encode_app(int, int, 
1.63/1.81	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.63/1.81	               app_encode_app(int, int, 
1.63/1.81	                 app_encode_app(int, app_encode_fun(int, int), 
1.63/1.81	                   times_times(int), 
1.63/1.81	                   app_encode_app(int, int, bit0, 
1.63/1.81	                     app_encode_app(int, int, bit0, 
1.63/1.81	                       app_encode_app(int, int, bit1, pls)))), m)), 
1.63/1.81	             one_one(int))), t),
1.63/1.81	    inference('demod', [status(thm)], ['0', '1'])).
1.63/1.81	tff(zf_stmt_85, axiom,
1.63/1.81	  (one_one(int) =
1.63/1.81	   app_encode_app(int,int,number_number_of(int),
1.63/1.81	                  app_encode_app(int,int,bit1,pls)))).
1.63/1.81	tff('3', plain,
1.63/1.81	    one_one(int)
1.63/1.81	     = app_encode_app(int, int, number_number_of(int), 
1.63/1.81	         app_encode_app(int, int, bit1, pls)),
1.63/1.81	    inference('cnf', [status(esa)], [zf_stmt_85])).
1.63/1.81	tff('4', plain, one_one(int) = app_encode_app(int, int, bit1, pls),
1.63/1.81	    inference('demod', [status(thm)], ['3', '1'])).
1.63/1.81	tff(zf_stmt_63, axiom,
1.63/1.81	  (![L:int,K1:int]:
1.63/1.81	     (app_encode_app(int,int,
1.63/1.81	                     app_encode_app(int,app_encode_fun(int,int),
1.63/1.81	                                    times_times(int),
1.63/1.81	                                    app_encode_app(int,int,bit0,K1)),
1.63/1.81	                     L) =
1.63/1.81	      app_encode_app(int,int,bit0,
1.63/1.81	                     app_encode_app(int,int,
1.63/1.81	                                    app_encode_app(int,
1.63/1.81	                                                   app_encode_fun(int,int),
1.63/1.81	                                                   times_times(int),K1),
1.63/1.81	                                    L))))).
1.63/1.81	tff('5', plain,
1.63/1.81	    ![X53 : int, X54 : int]:
1.63/1.81	      app_encode_app(int, int, 
1.63/1.81	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.63/1.81	          app_encode_app(int, int, bit0, X53)), X54)
1.63/1.81	       = app_encode_app(int, int, bit0, 
1.63/1.81	           app_encode_app(int, int, 
1.63/1.81	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.63/1.81	               X53), X54)),
1.63/1.81	    inference('cnf', [status(esa)], [zf_stmt_63])).
1.63/1.81	tff(zf_stmt_62, axiom,
1.63/1.81	  (![W:int]:
1.63/1.81	     (app_encode_app(int,int,
1.63/1.81	                     app_encode_app(int,app_encode_fun(int,int),
1.63/1.81	                                    times_times(int),pls),
1.63/1.81	                     W) =
1.63/1.81	      pls))).
1.63/1.81	tff('6', plain,
1.63/1.81	    ![X52 : int]:
1.63/1.81	      app_encode_app(int, int, 
1.63/1.81	        app_encode_app(int, app_encode_fun(int, int), times_times(int), pls), 
1.63/1.81	        X52)
1.63/1.81	       = pls,
1.63/1.81	    inference('cnf', [status(esa)], [zf_stmt_62])).
1.63/1.81	tff(zf_stmt_43, axiom,
1.63/1.81	  (![L:int,K1:int]:
1.63/1.81	     (app_encode_app(int,int,
1.63/1.81	                     app_encode_app(int,app_encode_fun(int,int),
1.63/1.81	                                    times_times(int),
1.63/1.81	                                    app_encode_app(int,int,bit1,K1)),
1.63/1.81	                     L) =
1.63/1.81	      app_encode_app(int,int,
1.63/1.81	                     app_encode_app(int,app_encode_fun(int,int),
1.63/1.81	                                    plus_plus(int),
1.63/1.81	                                    app_encode_app(int,int,bit0,
1.63/1.81	                                                   app_encode_app(int,int,
1.63/1.81	                                                                  app_encode_app(
1.63/1.81	                                                                  int,
1.63/1.81	                                                                  app_encode_fun(
1.63/1.81	                                                                  int,int),
1.63/1.81	                                                                  times_times(
1.63/1.81	                                                                  int),K1),L))),
1.63/1.81	                     L)))).
1.63/1.81	tff('7', plain,
1.63/1.81	    ![X7 : int, X8 : int]:
1.63/1.81	      app_encode_app(int, int, 
1.63/1.81	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.63/1.81	          app_encode_app(int, int, bit1, X7)), X8)
1.63/1.81	       = app_encode_app(int, int, 
1.63/1.81	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.63/1.81	             app_encode_app(int, int, bit0, 
1.63/1.81	               app_encode_app(int, int, 
1.63/1.81	                 app_encode_app(int, app_encode_fun(int, int), 
1.63/1.81	                   times_times(int), X7), X8))), X8),
1.63/1.81	    inference('cnf', [status(esa)], [zf_stmt_43])).
1.63/1.81	tff('8', plain,
1.63/1.81	    ![X0 : int]:
1.63/1.81	      app_encode_app(int, int, 
1.63/1.81	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.63/1.81	          app_encode_app(int, int, bit1, pls)), X0)
1.63/1.81	       = app_encode_app(int, int, 
1.63/1.81	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.63/1.81	             app_encode_app(int, int, bit0, pls)), X0),
1.63/1.81	    inference('sup+', [status(thm)], ['6', '7'])).
1.63/1.81	tff(zf_stmt_61, axiom, (app_encode_app(int,int,bit0,pls) = pls)).
1.63/1.81	tff('9', plain, app_encode_app(int, int, bit0, pls) = pls,
1.63/1.81	    inference('cnf', [status(esa)], [zf_stmt_61])).
1.63/1.81	tff(zf_stmt_70, axiom,
1.63/1.81	  (![K1:int]:
1.63/1.81	     (app_encode_app(int,int,
1.63/1.81	                     app_encode_app(int,app_encode_fun(int,int),
1.63/1.81	                                    plus_plus(int),pls),
1.63/1.81	                     K1) =
1.63/1.81	      K1))).
1.63/1.81	tff('10', plain,
1.63/1.81	    ![X67 : int]:
1.63/1.81	      app_encode_app(int, int, 
1.63/1.81	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
1.63/1.81	        X67)
1.63/1.81	       = X67,
1.63/1.81	    inference('cnf', [status(esa)], [zf_stmt_70])).
1.63/1.81	tff('11', plain,
1.63/1.81	    ![X0 : int]:
1.63/1.81	      app_encode_app(int, int, 
1.63/1.81	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.63/1.81	          app_encode_app(int, int, bit1, pls)), X0)
1.63/1.81	       = X0,
1.63/1.81	    inference('demod', [status(thm)], ['8', '9', '10'])).
1.63/1.81	tff(zf_stmt_71, axiom,
1.63/1.81	  (![K1:int]:
1.63/1.81	     (app_encode_app(int,int,bit0,K1) =
1.63/1.81	      app_encode_app(int,int,
1.63/1.81	                     app_encode_app(int,app_encode_fun(int,int),
1.63/1.81	                                    plus_plus(int),K1),
1.63/1.81	                     K1)))).
1.63/1.81	tff('12', plain,
1.63/1.81	    ![X68 : int]:
1.63/1.81	      app_encode_app(int, int, bit0, X68)
1.63/1.81	       = app_encode_app(int, int, 
1.63/1.81	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X68), 
1.63/1.81	           X68),
1.63/1.81	    inference('cnf', [status(esa)], [zf_stmt_71])).
1.63/1.81	tff(zf_stmt_138, axiom, (number_ring(int))).
1.63/1.81	tff('13', plain, number_ring(int),
1.63/1.81	    inference('cnf', [status(esa)], [zf_stmt_138])).
1.63/1.81	tff(zf_stmt_48, axiom,
1.63/1.81	  (![A2:$tType]:
1.63/1.81	     (number_ring(A2) =>
1.63/1.81	      (![Z:A2,W:int,V:int]:
1.63/1.81	         (app_encode_app(A2,A2,
1.63/1.81	                         app_encode_app(A2,app_encode_fun(A2,A2),
1.63/1.81	                                        plus_plus(A2),
1.63/1.81	                                        app_encode_app(int,A2,
1.63/1.81	                                                       number_number_of(A2),V)),
1.63/1.81	                         app_encode_app(A2,A2,
1.63/1.81	                                        app_encode_app(A2,
1.63/1.81	                                                       app_encode_fun(A2,A2),
1.63/1.81	                                                       plus_plus(A2),
1.63/1.81	                                                       app_encode_app(
1.63/1.81	                                                       int,A2,
1.63/1.81	                                                       number_number_of(A2),W)),
1.63/1.81	                                        Z)) =
1.63/1.81	          app_encode_app(A2,A2,
1.63/1.81	                         app_encode_app(A2,app_encode_fun(A2,A2),
1.63/1.81	                                        plus_plus(A2),
1.63/1.81	                                        app_encode_app(int,A2,
1.63/1.81	                                                       number_number_of(A2),
1.63/1.81	                                                       app_encode_app(
1.63/1.81	                                                       int,int,
1.63/1.81	                                                       app_encode_app(
1.63/1.81	                                                       int,
1.63/1.81	                                                       app_encode_fun(
1.63/1.81	                                                       int,int),
1.63/1.81	                                                       plus_plus(int),V),W))),
1.63/1.81	                         Z)))))).
1.63/1.81	tff('14', plain,
1.63/1.81	    ![X17 : $tType, X18 : int, X19 : int, X20 : X17]:
1.63/1.81	      (app_encode_app(X17, X17, 
1.63/1.81	         app_encode_app(X17, app_encode_fun(X17, X17), plus_plus(X17), 
1.63/1.81	           app_encode_app(int, X17, number_number_of(X17), X18)), 
1.63/1.81	         app_encode_app(X17, X17, 
1.63/1.81	           app_encode_app(X17, app_encode_fun(X17, X17), plus_plus(X17), 
1.63/1.81	             app_encode_app(int, X17, number_number_of(X17), X19)), X20))
1.63/1.81	        = app_encode_app(X17, X17, 
1.63/1.81	            app_encode_app(X17, app_encode_fun(X17, X17), plus_plus(X17), 
1.63/1.81	              app_encode_app(int, X17, number_number_of(X17), 
1.63/1.81	                app_encode_app(int, int, 
1.63/1.81	                  app_encode_app(int, app_encode_fun(int, int), 
1.63/1.81	                    plus_plus(int), X18), X19))), X20)
1.63/1.81	       | ~ number_ring(X17)),
1.63/1.81	    inference('cnf', [status(esa)], [zf_stmt_48])).
1.63/1.81	tff('15', plain,
1.63/1.81	    ![X0 : int, X1 : int, X2 : int]:
1.63/1.81	      (~ $true
1.63/1.81	       | app_encode_app(int, int, 
1.63/1.81	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.63/1.81	             app_encode_app(int, int, number_number_of(int), X2)), 
1.63/1.81	           app_encode_app(int, int, 
1.63/1.81	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.63/1.81	               app_encode_app(int, int, number_number_of(int), X1)), X0))
1.63/1.81	          = app_encode_app(int, int, 
1.63/1.81	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.63/1.81	                app_encode_app(int, int, number_number_of(int), 
1.63/1.81	                  app_encode_app(int, int, 
1.63/1.81	                    app_encode_app(int, app_encode_fun(int, int), 
1.63/1.81	                      plus_plus(int), X2), X1))), X0)),
1.63/1.81	    inference('sup-', [status(thm)], ['13', '14'])).
1.63/1.81	tff('16', plain,
1.63/1.81	    ![X0 : int, X1 : int, X2 : int]:
1.63/1.81	      (~ $true
1.63/1.81	       | app_encode_app(int, int, 
1.63/1.81	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X2), 
1.63/1.81	           app_encode_app(int, int, 
1.63/1.81	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.63/1.81	               X1), X0))
1.63/1.81	          = app_encode_app(int, int, 
1.63/1.81	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.63/1.81	                app_encode_app(int, int, 
1.63/1.81	                  app_encode_app(int, app_encode_fun(int, int), 
1.63/1.81	                    plus_plus(int), X2), X1)), X0)),
1.63/1.81	    inference('demod', [status(thm)], ['15', '1', '1', '1'])).
1.63/1.81	tff('17', plain,
1.63/1.81	    ![X0 : int, X1 : int, X2 : int]:
1.63/1.81	      app_encode_app(int, int, 
1.63/1.81	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X2), 
1.63/1.81	        app_encode_app(int, int, 
1.63/1.81	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X1), 
1.63/1.81	          X0))
1.63/1.81	       = app_encode_app(int, int, 
1.63/1.81	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.63/1.81	             app_encode_app(int, int, 
1.63/1.81	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.63/1.81	                 X2), X1)), X0),
1.63/1.81	    inference('simplify', [status(thm)], ['16'])).
1.63/1.81	tff('18', plain,
1.63/1.81	    ![X0 : int, X1 : int]:
1.63/1.81	      app_encode_app(int, int, 
1.63/1.81	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
1.63/1.81	        app_encode_app(int, int, 
1.63/1.81	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
1.63/1.81	          X1))
1.63/1.81	       = app_encode_app(int, int, 
1.63/1.81	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.63/1.81	             app_encode_app(int, int, bit0, X0)), X1),
1.63/1.81	    inference('sup+', [status(thm)], ['12', '17'])).
1.63/1.81	tff(zf_stmt_45, axiom,
1.63/1.81	  (![L:int,K1:int]:
1.63/1.81	     (app_encode_app(int,int,
1.63/1.81	                     app_encode_app(int,app_encode_fun(int,int),
1.63/1.81	                                    plus_plus(int),
1.63/1.81	                                    app_encode_app(int,int,bit0,K1)),
1.63/1.81	                     app_encode_app(int,int,bit1,L)) =
1.63/1.81	      app_encode_app(int,int,bit1,
1.63/1.81	                     app_encode_app(int,int,
1.63/1.81	                                    app_encode_app(int,
1.63/1.81	                                                   app_encode_fun(int,int),
1.63/1.81	                                                   plus_plus(int),K1),
1.63/1.81	                                    L))))).
1.63/1.81	tff('19', plain,
1.63/1.81	    ![X10 : int, X11 : int]:
1.63/1.81	      app_encode_app(int, int, 
1.63/1.81	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.63/1.81	          app_encode_app(int, int, bit0, X10)), 
1.63/1.81	        app_encode_app(int, int, bit1, X11))
1.63/1.81	       = app_encode_app(int, int, bit1, 
1.63/1.81	           app_encode_app(int, int, 
1.63/1.81	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.63/1.81	               X10), X11)),
1.63/1.81	    inference('cnf', [status(esa)], [zf_stmt_45])).
1.63/1.81	tff('20', plain,
1.63/1.81	    ![X10 : int, X11 : int]:
1.63/1.81	      app_encode_app(int, int, 
1.63/1.81	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X10), 
1.63/1.81	        app_encode_app(int, int, 
1.63/1.81	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X10), 
1.63/1.81	          app_encode_app(int, int, bit1, X11)))
1.63/1.81	       = app_encode_app(int, int, bit1, 
1.63/1.81	           app_encode_app(int, int, 
1.63/1.81	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.63/1.81	               X10), X11)),
1.63/1.81	    inference('demod', [status(thm)], ['19', '18'])).
1.63/1.81	tff(zf_stmt_69, axiom,
1.63/1.81	  (![K1:int]:
1.63/1.81	     (app_encode_app(int,int,
1.63/1.81	                     app_encode_app(int,app_encode_fun(int,int),
1.63/1.81	                                    plus_plus(int),K1),
1.63/1.81	                     pls) =
1.63/1.81	      K1))).
1.63/1.81	tff('21', plain,
1.63/1.81	    ![X66 : int]:
1.63/1.81	      app_encode_app(int, int, 
1.63/1.81	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X66), 
1.63/1.81	        pls)
1.63/1.81	       = X66,
1.63/1.81	    inference('cnf', [status(esa)], [zf_stmt_69])).
1.63/1.81	tff('22', plain,
1.63/1.81	    app_encode_app(product_prod(int, int), int, twoSqu196287499sum2sq, 
1.63/1.81	      app_encode_app(int, product_prod(int, int), 
1.63/1.81	        app_encode_app(int, app_encode_fun(int, product_prod(int, int)), 
1.63/1.81	          product_Pair(int, int), s), app_encode_app(int, int, bit1, pls)))
1.63/1.81	     = app_encode_app(int, int, 
1.63/1.81	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.63/1.81	           app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))), 
1.63/1.81	         t),
1.63/1.81	    inference('demod', [status(thm)],
1.63/1.81	              ['2', '4', '5', '5', '11', '4', '18', '18', '20', '21', '18', 
1.63/1.81	               '20', '12'])).
1.63/1.81	tff(zf_stmt_95, axiom,
1.63/1.81	  (![X:int]:
1.63/1.81	     (app_encode_app(int,$o,twoSqu1567020053sum2sq,X) <=>
1.63/1.81	      (?[A3:int,B2:int]:
1.63/1.81	         (app_encode_app(product_prod(int,int),int,twoSqu196287499sum2sq,
1.63/1.81	                         app_encode_app(int,product_prod(int,int),
1.63/1.81	                                        app_encode_app(int,
1.63/1.81	                                                       app_encode_fun(
1.63/1.81	                                                       int,
1.63/1.81	                                                       product_prod(int,int)),
1.63/1.81	                                                       product_Pair(int,int),
1.63/1.81	                                                       A3),
1.63/1.81	                                        B2)) =
1.63/1.81	          X))))).
1.63/1.81	tff('23', plain,
1.63/1.81	    ![X109 : int, X110 : int, X111 : int]:
1.63/1.81	      (app_encode_app(int, $o, twoSqu1567020053sum2sq, X109)
1.63/1.81	       | app_encode_app(product_prod(int, int), int, twoSqu196287499sum2sq, 
1.63/1.81	           app_encode_app(int, product_prod(int, int), 
1.63/1.81	             app_encode_app(int, 
1.63/1.81	               app_encode_fun(int, product_prod(int, int)), 
1.63/1.81	               product_Pair(int, int), X110), X111))
1.63/1.81	          != X109),
1.63/1.81	    inference('cnf', [status(esa)], [zf_stmt_95])).
1.63/1.81	tff('24', plain,
1.63/1.81	    ![X110 : int, X111 : int]:
1.63/1.81	      app_encode_app(int, $o, twoSqu1567020053sum2sq, 
1.63/1.81	        app_encode_app(product_prod(int, int), int, twoSqu196287499sum2sq, 
1.63/1.81	          app_encode_app(int, product_prod(int, int), 
1.63/1.81	            app_encode_app(int, app_encode_fun(int, product_prod(int, int)), 
1.63/1.81	              product_Pair(int, int), X110), X111))),
1.63/1.81	    inference('simplify', [status(thm)], ['23'])).
1.63/1.81	tff('25', plain,
1.63/1.81	    app_encode_app(int, $o, twoSqu1567020053sum2sq, 
1.63/1.81	      app_encode_app(int, int, 
1.63/1.81	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.63/1.81	          app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))), 
1.63/1.81	        t)),
1.63/1.81	    inference('sup+', [status(thm)], ['22', '24'])).
1.63/1.81	tff(zf_stmt_148, conjecture,
1.63/1.81	  (app_encode_app(int,$o,twoSqu1567020053sum2sq,
1.63/1.81	                  app_encode_app(int,int,
1.63/1.81	                                 app_encode_app(int,app_encode_fun(int,int),
1.63/1.81	                                                times_times(int),
1.63/1.81	                                                app_encode_app(int,int,
1.63/1.81	                                                               app_encode_app(
1.63/1.81	                                                               int,
1.63/1.81	                                                               app_encode_fun(
1.63/1.81	                                                               int,int),
1.63/1.81	                                                               plus_plus(int),
1.63/1.81	                                                               app_encode_app(
1.63/1.81	                                                               int,int,
1.63/1.81	                                                               app_encode_app(
1.63/1.81	                                                               int,
1.63/1.81	                                                               app_encode_fun(
1.63/1.81	                                                               int,int),
1.63/1.81	                                                               times_times(
1.63/1.81	                                                               int),
1.63/1.81	                                                               app_encode_app(
1.63/1.81	                                                               int,int,
1.63/1.81	                                                               number_number_of(
1.63/1.81	                                                               int),
1.63/1.81	                                                               app_encode_app(
1.63/1.81	                                                               int,int,bit0,
1.63/1.81	                                                               app_encode_app(
1.63/1.81	                                                               int,int,bit0,
1.63/1.81	                                                               app_encode_app(
1.63/1.81	                                                               int,int,bit1,
1.63/1.81	                                                               pls))))),m)),
1.63/1.81	                                                               one_one(int))),
1.63/1.81	                                 t)))).
1.63/1.81	tff(zf_stmt_0, negated_conjecture,
1.63/1.81	  (~
1.63/1.81	    app_encode_app(int,$o,twoSqu1567020053sum2sq,
1.63/1.81	                   app_encode_app(int,int,
1.63/1.81	                                  app_encode_app(int,app_encode_fun(int,int),
1.63/1.81	                                                 times_times(int),
1.63/1.81	                                                 app_encode_app(int,int,
1.63/1.81	                                                                app_encode_app(
1.63/1.81	                                                                int,
1.63/1.81	                                                                app_encode_fun(
1.63/1.81	                                                                int,int),
1.63/1.81	                                                                plus_plus(
1.63/1.81	                                                                int),
1.63/1.81	                                                                app_encode_app(
1.63/1.81	                                                                int,int,
1.63/1.81	                                                                app_encode_app(
1.63/1.81	                                                                int,
1.63/1.81	                                                                app_encode_fun(
1.63/1.81	                                                                int,int),
1.63/1.81	                                                                times_times(
1.63/1.81	                                                                int),
1.63/1.81	                                                                app_encode_app(
1.63/1.81	                                                                int,int,
1.63/1.81	                                                                number_number_of(
1.63/1.81	                                                                int),
1.63/1.81	                                                                app_encode_app(
1.63/1.81	                                                                int,int,bit0,
1.63/1.81	                                                                app_encode_app(
1.63/1.81	                                                                int,int,bit0,
1.63/1.81	                                                                app_encode_app(
1.63/1.81	                                                                int,int,bit1,
1.63/1.81	                                                                pls))))),m)),
1.63/1.81	                                                                one_one(int))),
1.63/1.81	                                  t)))).
1.63/1.81	tff('26', plain,
1.63/1.81	    ~ app_encode_app(int, $o, twoSqu1567020053sum2sq, 
1.63/1.81	        app_encode_app(int, int, 
1.63/1.81	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.63/1.81	            app_encode_app(int, int, 
1.63/1.81	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.63/1.81	                app_encode_app(int, int, 
1.63/1.81	                  app_encode_app(int, app_encode_fun(int, int), 
1.63/1.81	                    times_times(int), 
1.63/1.81	                    app_encode_app(int, int, number_number_of(int), 
1.63/1.81	                      app_encode_app(int, int, bit0, 
1.63/1.81	                        app_encode_app(int, int, bit0, 
1.63/1.81	                          app_encode_app(int, int, bit1, pls))))), m)), 
1.63/1.81	              one_one(int))), t)),
1.63/1.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.63/1.81	tff('27', plain,
1.63/1.81	    ~ app_encode_app(int, $o, twoSqu1567020053sum2sq, 
1.63/1.81	        app_encode_app(int, int, 
1.63/1.81	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.63/1.81	            app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))), 
1.63/1.81	          t)),
1.63/1.81	    inference('demod', [status(thm)],
1.63/1.81	              ['26', '1', '5', '5', '11', '4', '18', '18', '20', '21', '18', 
1.63/1.81	               '20', '12'])).
1.63/1.81	tff('28', plain, ~ $true, inference('sup-', [status(thm)], ['25', '27'])).
1.63/1.81	tff('29', plain, $false, inference('simplify', [status(thm)], ['28'])).
1.63/1.81	
1.63/1.81	% SZS output end Refutation
1.63/1.81	EOF
