0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : appext
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   : n188.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 07:51:23 CST 2018
1.66/1.86	% done 852 iterations in 1.659s
1.66/1.86	% SZS status Theorem for 'stdin'
1.66/1.86	% SZS output start Refutation
1.66/1.86	tff(zf_stmt_38, axiom,
1.66/1.86	  (app_encode_app(product_prod(int,int),int,twoSqu196287499sum2sq,
1.66/1.86	                  app_encode_app(int,product_prod(int,int),
1.66/1.86	                                 app_encode_app(int,
1.66/1.86	                                                app_encode_fun(int,
1.66/1.86	                                                               product_prod(
1.66/1.86	                                                               int,int)),
1.66/1.86	                                                product_Pair(int,int),s),
1.66/1.86	                                 one_one(int))) =
1.66/1.86	   app_encode_app(int,int,
1.66/1.86	                  app_encode_app(int,app_encode_fun(int,int),
1.66/1.86	                                 times_times(int),
1.66/1.86	                                 app_encode_app(int,int,
1.66/1.86	                                                app_encode_app(int,
1.66/1.86	                                                               app_encode_fun(
1.66/1.86	                                                               int,int),
1.66/1.86	                                                               plus_plus(int),
1.66/1.86	                                                               app_encode_app(
1.66/1.86	                                                               int,int,
1.66/1.86	                                                               app_encode_app(
1.66/1.86	                                                               int,
1.66/1.86	                                                               app_encode_fun(
1.66/1.86	                                                               int,int),
1.66/1.86	                                                               times_times(
1.66/1.86	                                                               int),
1.66/1.86	                                                               app_encode_app(
1.66/1.86	                                                               int,int,
1.66/1.86	                                                               number_number_of(
1.66/1.86	                                                               int),
1.66/1.86	                                                               app_encode_app(
1.66/1.86	                                                               int,int,bit0,
1.66/1.86	                                                               app_encode_app(
1.66/1.86	                                                               int,int,bit0,
1.66/1.86	                                                               app_encode_app(
1.66/1.86	                                                               int,int,bit1,
1.66/1.86	                                                               pls))))),m)),
1.66/1.86	                                                one_one(int))),
1.66/1.86	                  t))).
1.66/1.86	tff('0', plain,
1.66/1.86	    app_encode_app(product_prod(int, int), int, twoSqu196287499sum2sq, 
1.66/1.86	      app_encode_app(int, product_prod(int, int), 
1.66/1.86	        app_encode_app(int, app_encode_fun(int, product_prod(int, int)), 
1.66/1.86	          product_Pair(int, int), s), one_one(int)))
1.66/1.86	     = app_encode_app(int, int, 
1.66/1.86	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.66/1.86	           app_encode_app(int, int, 
1.66/1.86	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.66/1.86	               app_encode_app(int, int, 
1.66/1.86	                 app_encode_app(int, app_encode_fun(int, int), 
1.66/1.86	                   times_times(int), 
1.66/1.86	                   app_encode_app(int, int, number_number_of(int), 
1.66/1.86	                     app_encode_app(int, int, bit0, 
1.66/1.86	                       app_encode_app(int, int, bit0, 
1.66/1.86	                         app_encode_app(int, int, bit1, pls))))), m)), 
1.66/1.86	             one_one(int))), t),
1.66/1.86	    inference('cnf', [status(esa)], [zf_stmt_38])).
1.66/1.86	tff(zf_stmt_69, axiom,
1.66/1.86	  (![K1:int]: (app_encode_app(int,int,number_number_of(int),K1) = K1))).
1.66/1.86	tff('1', plain,
1.66/1.86	    ![X69 : int]: app_encode_app(int, int, number_number_of(int), X69) = X69,
1.66/1.86	    inference('cnf', [status(esa)], [zf_stmt_69])).
1.66/1.86	tff('2', plain,
1.66/1.86	    app_encode_app(product_prod(int, int), int, twoSqu196287499sum2sq, 
1.66/1.86	      app_encode_app(int, product_prod(int, int), 
1.66/1.86	        app_encode_app(int, app_encode_fun(int, product_prod(int, int)), 
1.66/1.86	          product_Pair(int, int), s), one_one(int)))
1.66/1.86	     = app_encode_app(int, int, 
1.66/1.86	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.66/1.86	           app_encode_app(int, int, 
1.66/1.86	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.66/1.86	               app_encode_app(int, int, 
1.66/1.86	                 app_encode_app(int, app_encode_fun(int, int), 
1.66/1.86	                   times_times(int), 
1.66/1.86	                   app_encode_app(int, int, bit0, 
1.66/1.86	                     app_encode_app(int, int, bit0, 
1.66/1.86	                       app_encode_app(int, int, bit1, pls)))), m)), 
1.66/1.86	             one_one(int))), t),
1.66/1.86	    inference('demod', [status(thm)], ['0', '1'])).
1.66/1.86	tff(zf_stmt_86, axiom,
1.66/1.86	  (one_one(int) =
1.66/1.86	   app_encode_app(int,int,number_number_of(int),
1.66/1.86	                  app_encode_app(int,int,bit1,pls)))).
1.66/1.86	tff('3', plain,
1.66/1.86	    one_one(int)
1.66/1.86	     = app_encode_app(int, int, number_number_of(int), 
1.66/1.86	         app_encode_app(int, int, bit1, pls)),
1.66/1.86	    inference('cnf', [status(esa)], [zf_stmt_86])).
1.66/1.86	tff('4', plain, one_one(int) = app_encode_app(int, int, bit1, pls),
1.66/1.86	    inference('demod', [status(thm)], ['3', '1'])).
1.66/1.86	tff(zf_stmt_64, axiom,
1.66/1.86	  (![L:int,K1:int]:
1.66/1.86	     (app_encode_app(int,int,
1.66/1.86	                     app_encode_app(int,app_encode_fun(int,int),
1.66/1.86	                                    times_times(int),
1.66/1.86	                                    app_encode_app(int,int,bit0,K1)),
1.66/1.86	                     L) =
1.66/1.86	      app_encode_app(int,int,bit0,
1.66/1.86	                     app_encode_app(int,int,
1.66/1.86	                                    app_encode_app(int,
1.66/1.86	                                                   app_encode_fun(int,int),
1.66/1.86	                                                   times_times(int),K1),
1.66/1.86	                                    L))))).
1.66/1.86	tff('5', plain,
1.66/1.86	    ![X57 : int, X58 : int]:
1.66/1.86	      app_encode_app(int, int, 
1.66/1.86	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.66/1.86	          app_encode_app(int, int, bit0, X57)), X58)
1.66/1.86	       = app_encode_app(int, int, bit0, 
1.66/1.86	           app_encode_app(int, int, 
1.66/1.86	             app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.66/1.86	               X57), X58)),
1.66/1.86	    inference('cnf', [status(esa)], [zf_stmt_64])).
1.66/1.86	tff(zf_stmt_63, axiom,
1.66/1.86	  (![W:int]:
1.66/1.86	     (app_encode_app(int,int,
1.66/1.86	                     app_encode_app(int,app_encode_fun(int,int),
1.66/1.86	                                    times_times(int),pls),
1.66/1.86	                     W) =
1.66/1.86	      pls))).
1.66/1.86	tff('6', plain,
1.66/1.86	    ![X56 : int]:
1.66/1.86	      app_encode_app(int, int, 
1.66/1.86	        app_encode_app(int, app_encode_fun(int, int), times_times(int), pls), 
1.66/1.86	        X56)
1.66/1.86	       = pls,
1.66/1.86	    inference('cnf', [status(esa)], [zf_stmt_63])).
1.66/1.86	tff(zf_stmt_44, axiom,
1.66/1.86	  (![L:int,K1:int]:
1.66/1.86	     (app_encode_app(int,int,
1.66/1.86	                     app_encode_app(int,app_encode_fun(int,int),
1.66/1.86	                                    times_times(int),
1.66/1.86	                                    app_encode_app(int,int,bit1,K1)),
1.66/1.86	                     L) =
1.66/1.86	      app_encode_app(int,int,
1.66/1.86	                     app_encode_app(int,app_encode_fun(int,int),
1.66/1.86	                                    plus_plus(int),
1.66/1.86	                                    app_encode_app(int,int,bit0,
1.66/1.86	                                                   app_encode_app(int,int,
1.66/1.86	                                                                  app_encode_app(
1.66/1.86	                                                                  int,
1.66/1.86	                                                                  app_encode_fun(
1.66/1.86	                                                                  int,int),
1.66/1.86	                                                                  times_times(
1.66/1.86	                                                                  int),K1),L))),
1.66/1.86	                     L)))).
1.66/1.86	tff('7', plain,
1.66/1.86	    ![X11 : int, X12 : int]:
1.66/1.86	      app_encode_app(int, int, 
1.66/1.86	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.66/1.86	          app_encode_app(int, int, bit1, X11)), X12)
1.66/1.86	       = app_encode_app(int, int, 
1.66/1.86	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.66/1.86	             app_encode_app(int, int, bit0, 
1.66/1.86	               app_encode_app(int, int, 
1.66/1.86	                 app_encode_app(int, app_encode_fun(int, int), 
1.66/1.86	                   times_times(int), X11), X12))), X12),
1.66/1.86	    inference('cnf', [status(esa)], [zf_stmt_44])).
1.66/1.86	tff('8', plain,
1.66/1.86	    ![X0 : int]:
1.66/1.86	      app_encode_app(int, int, 
1.66/1.86	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.66/1.86	          app_encode_app(int, int, bit1, pls)), X0)
1.66/1.86	       = app_encode_app(int, int, 
1.66/1.86	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.66/1.86	             app_encode_app(int, int, bit0, pls)), X0),
1.66/1.86	    inference('sup+', [status(thm)], ['6', '7'])).
1.66/1.86	tff(zf_stmt_62, axiom, (app_encode_app(int,int,bit0,pls) = pls)).
1.66/1.86	tff('9', plain, app_encode_app(int, int, bit0, pls) = pls,
1.66/1.86	    inference('cnf', [status(esa)], [zf_stmt_62])).
1.66/1.86	tff(zf_stmt_71, axiom,
1.66/1.86	  (![K1:int]:
1.66/1.86	     (app_encode_app(int,int,
1.66/1.86	                     app_encode_app(int,app_encode_fun(int,int),
1.66/1.86	                                    plus_plus(int),pls),
1.66/1.86	                     K1) =
1.66/1.86	      K1))).
1.66/1.86	tff('10', plain,
1.66/1.86	    ![X71 : int]:
1.66/1.86	      app_encode_app(int, int, 
1.66/1.86	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), pls), 
1.66/1.86	        X71)
1.66/1.86	       = X71,
1.66/1.86	    inference('cnf', [status(esa)], [zf_stmt_71])).
1.66/1.86	tff('11', plain,
1.66/1.86	    ![X0 : int]:
1.66/1.86	      app_encode_app(int, int, 
1.66/1.86	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.66/1.86	          app_encode_app(int, int, bit1, pls)), X0)
1.66/1.86	       = X0,
1.66/1.86	    inference('demod', [status(thm)], ['8', '9', '10'])).
1.66/1.86	tff(zf_stmt_2, axiom,
1.66/1.86	  (![X:app_encode_fun(Alpha,Beta),Y:app_encode_fun(Alpha,Beta)]:
1.66/1.86	     ((![Z:Alpha]:
1.66/1.86	         (app_encode_app(Alpha,Beta,X,Z) = app_encode_app(Alpha,Beta,Y,Z))) =>
1.66/1.86	      (X = Y)))).
1.66/1.86	tff('12', plain,
1.66/1.86	    ![X0 : $tType, X1 : $tType, X2 : app_encode_fun(X0, X1), 
1.66/1.86	      X3 : app_encode_fun(X0, X1)]:
1.66/1.86	      (X3 = X2
1.66/1.86	       | app_encode_app(X0, X1, X3, sk_Z(X1, X0, X2, X3))
1.66/1.86	          != app_encode_app(X0, X1, X2, sk_Z(X1, X0, X2, X3))),
1.66/1.86	    inference('cnf', [status(esa)], [zf_stmt_2])).
1.66/1.86	tff('13', plain,
1.66/1.86	    ![X0 : app_encode_fun(int, int)]:
1.66/1.86	      (app_encode_app(int, int, X0, 
1.66/1.86	         sk_Z(int, int, number_number_of(int), X0))
1.66/1.86	        != sk_Z(int, int, number_number_of(int), X0)
1.66/1.86	       | X0 = number_number_of(int)),
1.66/1.86	    inference('sup-', [status(thm)], ['1', '12'])).
1.66/1.86	tff('14', plain,
1.66/1.86	    (sk_Z(int, int, number_number_of(int), 
1.66/1.86	       app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.66/1.86	         app_encode_app(int, int, bit1, pls)))
1.66/1.86	      != sk_Z(int, int, number_number_of(int), 
1.66/1.86	           app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.66/1.86	             app_encode_app(int, int, bit1, pls)))
1.66/1.86	     | app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.66/1.86	         app_encode_app(int, int, bit1, pls))
1.66/1.86	        = number_number_of(int)),
1.66/1.86	    inference('sup-', [status(thm)], ['11', '13'])).
1.66/1.86	tff('15', plain,
1.66/1.86	    app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.66/1.86	      app_encode_app(int, int, bit1, pls))
1.66/1.86	     = number_number_of(int),
1.66/1.86	    inference('simplify', [status(thm)], ['14'])).
1.66/1.86	tff(zf_stmt_72, axiom,
1.66/1.86	  (![K1:int]:
1.66/1.86	     (app_encode_app(int,int,bit0,K1) =
1.66/1.86	      app_encode_app(int,int,
1.66/1.86	                     app_encode_app(int,app_encode_fun(int,int),
1.66/1.86	                                    plus_plus(int),K1),
1.66/1.86	                     K1)))).
1.66/1.86	tff('16', plain,
1.66/1.86	    ![X72 : int]:
1.66/1.86	      app_encode_app(int, int, bit0, X72)
1.66/1.86	       = app_encode_app(int, int, 
1.66/1.86	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X72), 
1.66/1.86	           X72),
1.66/1.86	    inference('cnf', [status(esa)], [zf_stmt_72])).
1.66/1.86	tff(zf_stmt_139, axiom, (number_ring(int))).
1.66/1.86	tff('17', plain, number_ring(int),
1.66/1.86	    inference('cnf', [status(esa)], [zf_stmt_139])).
1.66/1.86	tff(zf_stmt_49, axiom,
1.66/1.86	  (![A2:$tType]:
1.66/1.86	     (number_ring(A2) =>
1.66/1.86	      (![Z:A2,W:int,V:int]:
1.66/1.86	         (app_encode_app(A2,A2,
1.66/1.86	                         app_encode_app(A2,app_encode_fun(A2,A2),
1.66/1.86	                                        plus_plus(A2),
1.66/1.86	                                        app_encode_app(int,A2,
1.66/1.86	                                                       number_number_of(A2),V)),
1.66/1.86	                         app_encode_app(A2,A2,
1.66/1.86	                                        app_encode_app(A2,
1.66/1.86	                                                       app_encode_fun(A2,A2),
1.66/1.86	                                                       plus_plus(A2),
1.66/1.86	                                                       app_encode_app(
1.66/1.86	                                                       int,A2,
1.66/1.86	                                                       number_number_of(A2),W)),
1.66/1.86	                                        Z)) =
1.66/1.86	          app_encode_app(A2,A2,
1.66/1.86	                         app_encode_app(A2,app_encode_fun(A2,A2),
1.66/1.86	                                        plus_plus(A2),
1.66/1.86	                                        app_encode_app(int,A2,
1.66/1.86	                                                       number_number_of(A2),
1.66/1.86	                                                       app_encode_app(
1.66/1.86	                                                       int,int,
1.66/1.86	                                                       app_encode_app(
1.66/1.86	                                                       int,
1.66/1.86	                                                       app_encode_fun(
1.66/1.86	                                                       int,int),
1.66/1.86	                                                       plus_plus(int),V),W))),
1.66/1.86	                         Z)))))).
1.66/1.86	tff('18', plain,
1.66/1.86	    ![X21 : $tType, X22 : int, X23 : int, X24 : X21]:
1.66/1.86	      (app_encode_app(X21, X21, 
1.66/1.86	         app_encode_app(X21, app_encode_fun(X21, X21), plus_plus(X21), 
1.66/1.86	           app_encode_app(int, X21, number_number_of(X21), X22)), 
1.66/1.86	         app_encode_app(X21, X21, 
1.66/1.86	           app_encode_app(X21, app_encode_fun(X21, X21), plus_plus(X21), 
1.66/1.86	             app_encode_app(int, X21, number_number_of(X21), X23)), X24))
1.66/1.86	        = app_encode_app(X21, X21, 
1.66/1.86	            app_encode_app(X21, app_encode_fun(X21, X21), plus_plus(X21), 
1.66/1.86	              app_encode_app(int, X21, number_number_of(X21), 
1.66/1.86	                app_encode_app(int, int, 
1.66/1.86	                  app_encode_app(int, app_encode_fun(int, int), 
1.66/1.86	                    plus_plus(int), X22), X23))), X24)
1.66/1.86	       | ~ number_ring(X21)),
1.66/1.86	    inference('cnf', [status(esa)], [zf_stmt_49])).
1.66/1.86	tff('19', plain,
1.66/1.86	    ![X0 : int, X1 : int, X2 : int]:
1.66/1.86	      (~ $true
1.66/1.86	       | app_encode_app(int, int, 
1.66/1.86	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.66/1.86	             app_encode_app(int, int, number_number_of(int), X2)), 
1.66/1.86	           app_encode_app(int, int, 
1.66/1.86	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.66/1.86	               app_encode_app(int, int, number_number_of(int), X1)), X0))
1.66/1.86	          = app_encode_app(int, int, 
1.66/1.86	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.66/1.86	                app_encode_app(int, int, number_number_of(int), 
1.66/1.86	                  app_encode_app(int, int, 
1.66/1.86	                    app_encode_app(int, app_encode_fun(int, int), 
1.66/1.86	                      plus_plus(int), X2), X1))), X0)),
1.66/1.86	    inference('sup-', [status(thm)], ['17', '18'])).
1.66/1.86	tff('20', plain,
1.66/1.86	    ![X0 : int, X1 : int, X2 : int]:
1.66/1.86	      (~ $true
1.66/1.86	       | app_encode_app(int, int, 
1.66/1.86	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X2), 
1.66/1.86	           app_encode_app(int, int, 
1.66/1.86	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.66/1.86	               X1), X0))
1.66/1.86	          = app_encode_app(int, int, 
1.66/1.86	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.66/1.86	                app_encode_app(int, int, 
1.66/1.86	                  app_encode_app(int, app_encode_fun(int, int), 
1.66/1.86	                    plus_plus(int), X2), X1)), X0)),
1.66/1.86	    inference('demod', [status(thm)], ['19', '1', '1', '1'])).
1.66/1.86	tff('21', plain,
1.66/1.86	    ![X0 : int, X1 : int, X2 : int]:
1.66/1.86	      app_encode_app(int, int, 
1.66/1.86	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X2), 
1.66/1.86	        app_encode_app(int, int, 
1.66/1.86	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X1), 
1.66/1.86	          X0))
1.66/1.86	       = app_encode_app(int, int, 
1.66/1.86	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.66/1.86	             app_encode_app(int, int, 
1.66/1.86	               app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.66/1.86	                 X2), X1)), X0),
1.66/1.86	    inference('simplify', [status(thm)], ['20'])).
1.66/1.86	tff('22', plain,
1.66/1.86	    ![X0 : int, X1 : int]:
1.66/1.86	      app_encode_app(int, int, 
1.66/1.86	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
1.66/1.86	        app_encode_app(int, int, 
1.66/1.86	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X0), 
1.66/1.86	          X1))
1.66/1.86	       = app_encode_app(int, int, 
1.66/1.86	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.66/1.86	             app_encode_app(int, int, bit0, X0)), X1),
1.66/1.86	    inference('sup+', [status(thm)], ['16', '21'])).
1.66/1.86	tff(zf_stmt_46, axiom,
1.66/1.86	  (![L:int,K1:int]:
1.66/1.86	     (app_encode_app(int,int,
1.66/1.86	                     app_encode_app(int,app_encode_fun(int,int),
1.66/1.86	                                    plus_plus(int),
1.66/1.86	                                    app_encode_app(int,int,bit0,K1)),
1.66/1.86	                     app_encode_app(int,int,bit1,L)) =
1.66/1.86	      app_encode_app(int,int,bit1,
1.66/1.86	                     app_encode_app(int,int,
1.66/1.86	                                    app_encode_app(int,
1.66/1.86	                                                   app_encode_fun(int,int),
1.66/1.86	                                                   plus_plus(int),K1),
1.66/1.86	                                    L))))).
1.66/1.86	tff('23', plain,
1.66/1.86	    ![X14 : int, X15 : int]:
1.66/1.86	      app_encode_app(int, int, 
1.66/1.86	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.66/1.86	          app_encode_app(int, int, bit0, X14)), 
1.66/1.86	        app_encode_app(int, int, bit1, X15))
1.66/1.86	       = app_encode_app(int, int, bit1, 
1.66/1.86	           app_encode_app(int, int, 
1.66/1.86	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.66/1.86	               X14), X15)),
1.66/1.86	    inference('cnf', [status(esa)], [zf_stmt_46])).
1.66/1.86	tff('24', plain,
1.66/1.86	    ![X14 : int, X15 : int]:
1.66/1.86	      app_encode_app(int, int, 
1.66/1.86	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X14), 
1.66/1.86	        app_encode_app(int, int, 
1.66/1.86	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X14), 
1.66/1.86	          app_encode_app(int, int, bit1, X15)))
1.66/1.86	       = app_encode_app(int, int, bit1, 
1.66/1.86	           app_encode_app(int, int, 
1.66/1.86	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.66/1.86	               X14), X15)),
1.66/1.86	    inference('demod', [status(thm)], ['23', '22'])).
1.66/1.86	tff(zf_stmt_70, axiom,
1.66/1.86	  (![K1:int]:
1.66/1.86	     (app_encode_app(int,int,
1.66/1.86	                     app_encode_app(int,app_encode_fun(int,int),
1.66/1.86	                                    plus_plus(int),K1),
1.66/1.86	                     pls) =
1.66/1.86	      K1))).
1.66/1.86	tff('25', plain,
1.66/1.86	    ![X70 : int]:
1.66/1.86	      app_encode_app(int, int, 
1.66/1.86	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), X70), 
1.66/1.86	        pls)
1.66/1.86	       = X70,
1.66/1.86	    inference('cnf', [status(esa)], [zf_stmt_70])).
1.66/1.86	tff('26', plain,
1.66/1.86	    app_encode_app(product_prod(int, int), int, twoSqu196287499sum2sq, 
1.66/1.86	      app_encode_app(int, product_prod(int, int), 
1.66/1.86	        app_encode_app(int, app_encode_fun(int, product_prod(int, int)), 
1.66/1.86	          product_Pair(int, int), s), app_encode_app(int, int, bit1, pls)))
1.66/1.86	     = app_encode_app(int, int, 
1.66/1.86	         app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.66/1.86	           app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))), 
1.66/1.86	         t),
1.66/1.86	    inference('demod', [status(thm)],
1.66/1.86	              ['2', '4', '5', '5', '15', '1', '4', '22', '22', '24', '25', 
1.66/1.86	               '22', '24', '16'])).
1.66/1.86	tff(zf_stmt_96, axiom,
1.66/1.86	  (![X:int]:
1.66/1.86	     (app_encode_app(int,$o,twoSqu1567020053sum2sq,X) <=>
1.66/1.86	      (?[A3:int,B2:int]:
1.66/1.86	         (app_encode_app(product_prod(int,int),int,twoSqu196287499sum2sq,
1.66/1.86	                         app_encode_app(int,product_prod(int,int),
1.66/1.86	                                        app_encode_app(int,
1.66/1.86	                                                       app_encode_fun(
1.66/1.86	                                                       int,
1.66/1.86	                                                       product_prod(int,int)),
1.66/1.86	                                                       product_Pair(int,int),
1.66/1.86	                                                       A3),
1.66/1.86	                                        B2)) =
1.66/1.86	          X))))).
1.66/1.86	tff('27', plain,
1.66/1.86	    ![X113 : int, X114 : int, X115 : int]:
1.66/1.86	      (app_encode_app(int, $o, twoSqu1567020053sum2sq, X113)
1.66/1.86	       | app_encode_app(product_prod(int, int), int, twoSqu196287499sum2sq, 
1.66/1.86	           app_encode_app(int, product_prod(int, int), 
1.66/1.86	             app_encode_app(int, 
1.66/1.86	               app_encode_fun(int, product_prod(int, int)), 
1.66/1.86	               product_Pair(int, int), X114), X115))
1.66/1.86	          != X113),
1.66/1.86	    inference('cnf', [status(esa)], [zf_stmt_96])).
1.66/1.86	tff('28', plain,
1.66/1.86	    ![X114 : int, X115 : int]:
1.66/1.86	      app_encode_app(int, $o, twoSqu1567020053sum2sq, 
1.66/1.86	        app_encode_app(product_prod(int, int), int, twoSqu196287499sum2sq, 
1.66/1.86	          app_encode_app(int, product_prod(int, int), 
1.66/1.86	            app_encode_app(int, app_encode_fun(int, product_prod(int, int)), 
1.66/1.86	              product_Pair(int, int), X114), X115))),
1.66/1.86	    inference('simplify', [status(thm)], ['27'])).
1.66/1.86	tff('29', plain,
1.66/1.86	    app_encode_app(int, $o, twoSqu1567020053sum2sq, 
1.66/1.86	      app_encode_app(int, int, 
1.66/1.86	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.66/1.86	          app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))), 
1.66/1.86	        t)),
1.66/1.86	    inference('sup+', [status(thm)], ['26', '28'])).
1.66/1.86	tff(zf_stmt_149, conjecture,
1.66/1.86	  (app_encode_app(int,$o,twoSqu1567020053sum2sq,
1.66/1.86	                  app_encode_app(int,int,
1.66/1.86	                                 app_encode_app(int,app_encode_fun(int,int),
1.66/1.86	                                                times_times(int),
1.66/1.86	                                                app_encode_app(int,int,
1.66/1.86	                                                               app_encode_app(
1.66/1.86	                                                               int,
1.66/1.86	                                                               app_encode_fun(
1.66/1.86	                                                               int,int),
1.66/1.86	                                                               plus_plus(int),
1.66/1.86	                                                               app_encode_app(
1.66/1.86	                                                               int,int,
1.66/1.86	                                                               app_encode_app(
1.66/1.86	                                                               int,
1.66/1.86	                                                               app_encode_fun(
1.66/1.86	                                                               int,int),
1.66/1.86	                                                               times_times(
1.66/1.86	                                                               int),
1.66/1.86	                                                               app_encode_app(
1.66/1.86	                                                               int,int,
1.66/1.86	                                                               number_number_of(
1.66/1.86	                                                               int),
1.66/1.86	                                                               app_encode_app(
1.66/1.86	                                                               int,int,bit0,
1.66/1.86	                                                               app_encode_app(
1.66/1.86	                                                               int,int,bit0,
1.66/1.86	                                                               app_encode_app(
1.66/1.86	                                                               int,int,bit1,
1.66/1.86	                                                               pls))))),m)),
1.66/1.86	                                                               one_one(int))),
1.66/1.86	                                 t)))).
1.66/1.86	tff(zf_stmt_0, negated_conjecture,
1.66/1.86	  (~
1.66/1.86	    app_encode_app(int,$o,twoSqu1567020053sum2sq,
1.66/1.86	                   app_encode_app(int,int,
1.66/1.86	                                  app_encode_app(int,app_encode_fun(int,int),
1.66/1.86	                                                 times_times(int),
1.66/1.86	                                                 app_encode_app(int,int,
1.66/1.86	                                                                app_encode_app(
1.66/1.86	                                                                int,
1.66/1.86	                                                                app_encode_fun(
1.66/1.86	                                                                int,int),
1.66/1.86	                                                                plus_plus(
1.66/1.86	                                                                int),
1.66/1.86	                                                                app_encode_app(
1.66/1.86	                                                                int,int,
1.66/1.86	                                                                app_encode_app(
1.66/1.86	                                                                int,
1.66/1.86	                                                                app_encode_fun(
1.66/1.86	                                                                int,int),
1.66/1.86	                                                                times_times(
1.66/1.86	                                                                int),
1.66/1.86	                                                                app_encode_app(
1.66/1.86	                                                                int,int,
1.66/1.86	                                                                number_number_of(
1.66/1.86	                                                                int),
1.66/1.86	                                                                app_encode_app(
1.66/1.86	                                                                int,int,bit0,
1.66/1.86	                                                                app_encode_app(
1.66/1.86	                                                                int,int,bit0,
1.66/1.86	                                                                app_encode_app(
1.66/1.86	                                                                int,int,bit1,
1.66/1.86	                                                                pls))))),m)),
1.66/1.86	                                                                one_one(int))),
1.66/1.86	                                  t)))).
1.66/1.86	tff('30', plain,
1.66/1.86	    ~ app_encode_app(int, $o, twoSqu1567020053sum2sq, 
1.66/1.86	        app_encode_app(int, int, 
1.66/1.86	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.66/1.86	            app_encode_app(int, int, 
1.66/1.86	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.66/1.86	                app_encode_app(int, int, 
1.66/1.86	                  app_encode_app(int, app_encode_fun(int, int), 
1.66/1.86	                    times_times(int), 
1.66/1.86	                    app_encode_app(int, int, number_number_of(int), 
1.66/1.86	                      app_encode_app(int, int, bit0, 
1.66/1.86	                        app_encode_app(int, int, bit0, 
1.66/1.86	                          app_encode_app(int, int, bit1, pls))))), m)), 
1.66/1.86	              one_one(int))), t)),
1.66/1.86	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.66/1.86	tff('31', plain,
1.66/1.86	    ~ app_encode_app(int, $o, twoSqu1567020053sum2sq, 
1.66/1.86	        app_encode_app(int, int, 
1.66/1.86	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.66/1.86	            app_encode_app(int, int, bit1, app_encode_app(int, int, bit0, m))), 
1.66/1.86	          t)),
1.66/1.86	    inference('demod', [status(thm)],
1.66/1.86	              ['30', '1', '5', '5', '15', '1', '4', '22', '22', '24', '25', 
1.66/1.86	               '22', '24', '16'])).
1.66/1.86	tff('32', plain, ~ $true, inference('sup-', [status(thm)], ['29', '31'])).
1.66/1.86	tff('33', plain, $false, inference('simplify', [status(thm)], ['32'])).
1.66/1.86	
1.66/1.86	% SZS output end Refutation
1.66/1.86	EOF
