0.00/0.00	% File    : /export/starexec/sandbox2/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    : 
0.00/0.01	#!/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 $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n175.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 08:07:24 CST 2018
0.90/1.15	% done 1028 iterations in 0.944s
0.90/1.15	% SZS status Theorem for 'stdin'
0.90/1.15	% SZS output start Refutation
0.90/1.15	tff(zf_stmt_35, axiom,
0.90/1.15	  (~
0.90/1.15	    app_encode_app(int,$o,twoSqu1567020053sum2sq,
0.90/1.15	                   app_encode_app(int,int,
0.90/1.15	                                  app_encode_app(int,app_encode_fun(int,int),
0.90/1.15	                                                 times_times(int),
0.90/1.15	                                                 app_encode_app(int,int,
0.90/1.15	                                                                app_encode_app(
0.90/1.15	                                                                int,
0.90/1.15	                                                                app_encode_fun(
0.90/1.15	                                                                int,int),
0.90/1.15	                                                                plus_plus(
0.90/1.15	                                                                int),
0.90/1.15	                                                                app_encode_app(
0.90/1.15	                                                                int,int,
0.90/1.15	                                                                app_encode_app(
0.90/1.15	                                                                int,
0.90/1.15	                                                                app_encode_fun(
0.90/1.15	                                                                int,int),
0.90/1.15	                                                                times_times(
0.90/1.15	                                                                int),
0.90/1.15	                                                                app_encode_app(
0.90/1.15	                                                                int,int,
0.90/1.15	                                                                number_number_of(
0.90/1.15	                                                                int),
0.90/1.15	                                                                app_encode_app(
0.90/1.15	                                                                int,int,bit0,
0.90/1.15	                                                                app_encode_app(
0.90/1.15	                                                                int,int,bit0,
0.90/1.15	                                                                app_encode_app(
0.90/1.15	                                                                int,int,bit1,
0.90/1.15	                                                                pls))))),m)),
0.90/1.15	                                                                one_one(int))),
0.90/1.15	                                  app_encode_app(int,int,
0.90/1.15	                                                 app_encode_app(int,
0.90/1.15	                                                                app_encode_fun(
0.90/1.15	                                                                int,int),
0.90/1.15	                                                                plus_plus(
0.90/1.15	                                                                int),
0.90/1.15	                                                                one_one(int)),
0.90/1.15	                                                 app_encode_app(nat,int,
0.90/1.15	                                                                semiring_1_of_nat(
0.90/1.15	                                                                int),
0.90/1.15	                                                                zero_zero(
0.90/1.15	                                                                nat))))))).
0.90/1.15	tff('0', plain,
0.90/1.15	    ~ app_encode_app(int, $o, twoSqu1567020053sum2sq, 
0.90/1.15	        app_encode_app(int, int, 
0.90/1.15	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.90/1.15	            app_encode_app(int, int, 
0.90/1.15	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.90/1.15	                app_encode_app(int, int, 
0.90/1.15	                  app_encode_app(int, app_encode_fun(int, int), 
0.90/1.15	                    times_times(int), 
0.90/1.15	                    app_encode_app(int, int, number_number_of(int), 
0.90/1.15	                      app_encode_app(int, int, bit0, 
0.90/1.15	                        app_encode_app(int, int, bit0, 
0.90/1.15	                          app_encode_app(int, int, bit1, pls))))), m)), 
0.90/1.15	              one_one(int))), 
0.90/1.15	          app_encode_app(int, int, 
0.90/1.15	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.90/1.15	              one_one(int)), 
0.90/1.15	            app_encode_app(nat, int, semiring_1_of_nat(int), zero_zero(nat))))),
0.90/1.15	    inference('cnf', [status(esa)], [zf_stmt_35])).
0.90/1.15	tff(zf_stmt_116, axiom, (pls = zero_zero(int))).
0.90/1.15	tff('1', plain, pls = zero_zero(int),
0.90/1.15	    inference('cnf', [status(esa)], [zf_stmt_116])).
0.90/1.15	tff('2', plain,
0.90/1.15	    ~ app_encode_app(int, $o, twoSqu1567020053sum2sq, 
0.90/1.15	        app_encode_app(int, int, 
0.90/1.15	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.90/1.15	            app_encode_app(int, int, 
0.90/1.15	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.90/1.15	                app_encode_app(int, int, 
0.90/1.15	                  app_encode_app(int, app_encode_fun(int, int), 
0.90/1.15	                    times_times(int), 
0.90/1.15	                    app_encode_app(int, int, number_number_of(int), 
0.90/1.15	                      app_encode_app(int, int, bit0, 
0.90/1.15	                        app_encode_app(int, int, bit0, 
0.90/1.15	                          app_encode_app(int, int, bit1, zero_zero(int)))))), 
0.90/1.15	                  m)), one_one(int))), 
0.90/1.15	          app_encode_app(int, int, 
0.90/1.15	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.90/1.15	              one_one(int)), 
0.90/1.15	            app_encode_app(nat, int, semiring_1_of_nat(int), zero_zero(nat))))),
0.90/1.15	    inference('demod', [status(thm)], ['0', '1'])).
0.90/1.15	tff(zf_stmt_138, axiom, (number_ring(int))).
0.90/1.15	tff('3', plain, number_ring(int),
0.90/1.15	    inference('cnf', [status(esa)], [zf_stmt_138])).
0.90/1.15	tff(zf_stmt_49, axiom,
0.90/1.15	  (![A:$tType]:
0.90/1.15	     (number_ring(A) =>
0.90/1.15	      (app_encode_app(int,A,number_number_of(A),
0.90/1.15	                      app_encode_app(int,int,bit1,pls)) =
0.90/1.15	       one_one(A))))).
0.90/1.15	tff('4', plain,
0.90/1.15	    ![X21 : $tType]:
0.90/1.15	      (app_encode_app(int, X21, number_number_of(X21), 
0.90/1.15	         app_encode_app(int, int, bit1, pls))
0.90/1.15	        = one_one(X21)
0.90/1.15	       | ~ number_ring(X21)),
0.90/1.15	    inference('cnf', [status(esa)], [zf_stmt_49])).
0.90/1.15	tff('5', plain,
0.90/1.15	    ![X21 : $tType]:
0.90/1.15	      (app_encode_app(int, X21, number_number_of(X21), 
0.90/1.15	         app_encode_app(int, int, bit1, zero_zero(int)))
0.90/1.15	        = one_one(X21)
0.90/1.15	       | ~ number_ring(X21)),
0.90/1.15	    inference('demod', [status(thm)], ['4', '1'])).
0.90/1.15	tff('6', plain,
0.90/1.15	    (~ $true
0.90/1.15	     | app_encode_app(int, int, number_number_of(int), 
0.90/1.15	         app_encode_app(int, int, bit1, zero_zero(int)))
0.90/1.15	        = one_one(int)),
0.90/1.15	    inference('sup-', [status(thm)], ['3', '5'])).
0.90/1.15	tff('7', plain,
0.90/1.15	    app_encode_app(int, int, number_number_of(int), 
0.90/1.15	      app_encode_app(int, int, bit1, zero_zero(int)))
0.90/1.15	     = one_one(int),
0.90/1.15	    inference('simplify', [status(thm)], ['6'])).
0.90/1.15	tff(zf_stmt_128, axiom,
0.90/1.15	  (app_encode_app(nat,int,semiring_1_of_nat(int),zero_zero(nat)) =
0.90/1.15	   zero_zero(int))).
0.90/1.15	tff('8', plain,
0.90/1.15	    app_encode_app(nat, int, semiring_1_of_nat(int), zero_zero(nat))
0.90/1.15	     = zero_zero(int),
0.90/1.15	    inference('cnf', [status(esa)], [zf_stmt_128])).
0.90/1.15	tff(zf_stmt_125, axiom,
0.90/1.15	  (zero_zero(int) = app_encode_app(int,int,number_number_of(int),pls))).
0.90/1.15	tff('9', plain,
0.90/1.15	    zero_zero(int) = app_encode_app(int, int, number_number_of(int), pls),
0.90/1.15	    inference('cnf', [status(esa)], [zf_stmt_125])).
0.90/1.15	tff('10', plain,
0.90/1.15	    zero_zero(int)
0.90/1.15	     = app_encode_app(int, int, number_number_of(int), zero_zero(int)),
0.90/1.15	    inference('demod', [status(thm)], ['9', '1'])).
0.90/1.15	tff(zf_stmt_87, axiom,
0.90/1.15	  (![A:$tType]:
0.90/1.15	     (number_ring(A) =>
0.90/1.15	      (![W1:int,V:int]:
0.90/1.15	         (app_encode_app(A,A,
0.90/1.15	                         app_encode_app(A,app_encode_fun(A,A),plus_plus(A),
0.90/1.15	                                        app_encode_app(int,A,
0.90/1.15	                                                       number_number_of(A),V)),
0.90/1.15	                         app_encode_app(int,A,number_number_of(A),W1)) =
0.90/1.15	          app_encode_app(int,A,number_number_of(A),
0.90/1.15	                         app_encode_app(int,int,
0.90/1.15	                                        app_encode_app(int,
0.90/1.15	                                                       app_encode_fun(
0.90/1.15	                                                       int,int),
0.90/1.15	                                                       plus_plus(int),V),
0.90/1.15	                                        W1))))))).
0.90/1.15	tff('11', plain,
0.90/1.15	    ![X106 : $tType, X107 : int, X108 : int]:
0.90/1.15	      (app_encode_app(X106, X106, 
0.90/1.15	         app_encode_app(X106, app_encode_fun(X106, X106), plus_plus(X106), 
0.90/1.15	           app_encode_app(int, X106, number_number_of(X106), X107)), 
0.90/1.15	         app_encode_app(int, X106, number_number_of(X106), X108))
0.90/1.15	        = app_encode_app(int, X106, number_number_of(X106), 
0.90/1.15	            app_encode_app(int, int, 
0.90/1.15	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.90/1.15	                X107), X108))
0.90/1.15	       | ~ number_ring(X106)),
0.90/1.15	    inference('cnf', [status(esa)], [zf_stmt_87])).
0.90/1.15	tff('12', plain,
0.90/1.15	    ![X0 : int, X1 : int]:
0.90/1.15	      (~ $true
0.90/1.15	       | app_encode_app(int, int, 
0.90/1.15	           app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.90/1.15	             app_encode_app(int, int, number_number_of(int), X1)), 
0.90/1.15	           app_encode_app(int, int, number_number_of(int), X0))
0.90/1.15	          = app_encode_app(int, int, number_number_of(int), 
0.90/1.15	              app_encode_app(int, int, 
0.90/1.15	                app_encode_app(int, app_encode_fun(int, int), 
0.90/1.15	                  plus_plus(int), X1), X0))),
0.90/1.15	    inference('sup-', [status(thm)], ['3', '11'])).
0.90/1.15	tff('13', plain,
0.90/1.15	    ![X0 : int, X1 : int]:
0.90/1.15	      app_encode_app(int, int, 
0.90/1.15	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.90/1.15	          app_encode_app(int, int, number_number_of(int), X1)), 
0.90/1.15	        app_encode_app(int, int, number_number_of(int), X0))
0.90/1.15	       = app_encode_app(int, int, number_number_of(int), 
0.90/1.15	           app_encode_app(int, int, 
0.90/1.15	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.90/1.15	               X1), X0)),
0.90/1.15	    inference('simplify', [status(thm)], ['12'])).
0.90/1.15	tff('14', plain,
0.90/1.15	    ![X0 : int]:
0.90/1.15	      app_encode_app(int, int, 
0.90/1.15	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.90/1.15	          app_encode_app(int, int, number_number_of(int), X0)), 
0.90/1.15	        zero_zero(int))
0.90/1.15	       = app_encode_app(int, int, number_number_of(int), 
0.90/1.15	           app_encode_app(int, int, 
0.90/1.15	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.90/1.15	               X0), zero_zero(int))),
0.90/1.15	    inference('sup+', [status(thm)], ['10', '13'])).
0.90/1.15	tff(zf_stmt_65, axiom, (app_encode_app(int,int,bit0,pls) = pls)).
0.90/1.15	tff('15', plain, app_encode_app(int, int, bit0, pls) = pls,
0.90/1.15	    inference('cnf', [status(esa)], [zf_stmt_65])).
0.90/1.15	tff('16', plain,
0.90/1.15	    app_encode_app(int, int, bit0, zero_zero(int)) = zero_zero(int),
0.90/1.15	    inference('demod', [status(thm)], ['15', '1', '1'])).
0.90/1.15	tff(zf_stmt_93, axiom,
0.90/1.15	  (![L:int,K:int]:
0.90/1.15	     (app_encode_app(int,int,
0.90/1.15	                     app_encode_app(int,app_encode_fun(int,int),
0.90/1.15	                                    plus_plus(int),
0.90/1.15	                                    app_encode_app(int,int,bit1,K)),
0.90/1.15	                     app_encode_app(int,int,bit0,L)) =
0.90/1.15	      app_encode_app(int,int,bit1,
0.90/1.15	                     app_encode_app(int,int,
0.90/1.15	                                    app_encode_app(int,
0.90/1.15	                                                   app_encode_fun(int,int),
0.90/1.15	                                                   plus_plus(int),K),
0.90/1.15	                                    L))))).
0.90/1.15	tff('17', plain,
0.90/1.15	    ![X122 : int, X123 : int]:
0.90/1.15	      app_encode_app(int, int, 
0.90/1.15	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.90/1.15	          app_encode_app(int, int, bit1, X122)), 
0.90/1.15	        app_encode_app(int, int, bit0, X123))
0.90/1.15	       = app_encode_app(int, int, bit1, 
0.90/1.15	           app_encode_app(int, int, 
0.90/1.15	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.90/1.15	               X122), X123)),
0.90/1.15	    inference('cnf', [status(esa)], [zf_stmt_93])).
0.90/1.15	tff('18', plain,
0.90/1.15	    ![X0 : int]:
0.90/1.15	      app_encode_app(int, int, 
0.90/1.15	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.90/1.15	          app_encode_app(int, int, bit1, X0)), zero_zero(int))
0.90/1.15	       = app_encode_app(int, int, bit1, 
0.90/1.15	           app_encode_app(int, int, 
0.90/1.15	             app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.90/1.15	               X0), zero_zero(int))),
0.90/1.15	    inference('sup+', [status(thm)], ['16', '17'])).
0.90/1.15	tff(zf_stmt_111, axiom,
0.90/1.15	  (![M:nat]:
0.90/1.15	     (app_encode_app(nat,nat,
0.90/1.15	                     app_encode_app(nat,app_encode_fun(nat,nat),
0.90/1.15	                                    plus_plus(nat),M),
0.90/1.15	                     zero_zero(nat)) =
0.90/1.15	      M))).
0.90/1.15	tff('19', plain,
0.90/1.15	    ![X169 : nat]:
0.90/1.15	      app_encode_app(nat, nat, 
0.90/1.15	        app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), X169), 
0.90/1.15	        zero_zero(nat))
0.90/1.15	       = X169,
0.90/1.15	    inference('cnf', [status(esa)], [zf_stmt_111])).
0.90/1.15	tff(zf_stmt_119, axiom,
0.90/1.15	  (![N1:nat,M:nat]:
0.90/1.15	     (app_encode_app(int,int,
0.90/1.15	                     app_encode_app(int,app_encode_fun(int,int),
0.90/1.15	                                    plus_plus(int),
0.90/1.15	                                    app_encode_app(nat,int,
0.90/1.15	                                                   semiring_1_of_nat(int),M)),
0.90/1.15	                     app_encode_app(nat,int,semiring_1_of_nat(int),N1)) =
0.90/1.15	      app_encode_app(nat,int,semiring_1_of_nat(int),
0.90/1.15	                     app_encode_app(nat,nat,
0.90/1.15	                                    app_encode_app(nat,
0.90/1.15	                                                   app_encode_fun(nat,nat),
0.90/1.15	                                                   plus_plus(nat),M),
0.90/1.15	                                    N1))))).
0.90/1.15	tff('20', plain,
0.90/1.15	    ![X180 : nat, X181 : nat]:
0.90/1.15	      app_encode_app(int, int, 
0.90/1.15	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.90/1.15	          app_encode_app(nat, int, semiring_1_of_nat(int), X180)), 
0.90/1.15	        app_encode_app(nat, int, semiring_1_of_nat(int), X181))
0.90/1.15	       = app_encode_app(nat, int, semiring_1_of_nat(int), 
0.90/1.15	           app_encode_app(nat, nat, 
0.90/1.15	             app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
0.90/1.15	               X180), X181)),
0.90/1.15	    inference('cnf', [status(esa)], [zf_stmt_119])).
0.90/1.15	tff('21', plain,
0.90/1.15	    ![X0 : nat]:
0.90/1.15	      app_encode_app(int, int, 
0.90/1.15	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.90/1.15	          app_encode_app(nat, int, semiring_1_of_nat(int), X0)), 
0.90/1.15	        app_encode_app(nat, int, semiring_1_of_nat(int), zero_zero(nat)))
0.90/1.15	       = app_encode_app(nat, int, semiring_1_of_nat(int), X0),
0.90/1.15	    inference('sup+', [status(thm)], ['19', '20'])).
0.90/1.15	tff('22', plain,
0.90/1.15	    ![X0 : nat]:
0.90/1.15	      app_encode_app(int, int, 
0.90/1.15	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.90/1.15	          app_encode_app(nat, int, semiring_1_of_nat(int), X0)), 
0.90/1.15	        zero_zero(int))
0.90/1.15	       = app_encode_app(nat, int, semiring_1_of_nat(int), X0),
0.90/1.15	    inference('demod', [status(thm)], ['21', '8'])).
0.90/1.15	tff('23', plain,
0.90/1.15	    app_encode_app(int, int, 
0.90/1.15	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.90/1.15	        zero_zero(int)), zero_zero(int))
0.90/1.15	     = app_encode_app(nat, int, semiring_1_of_nat(int), zero_zero(nat)),
0.90/1.15	    inference('sup+', [status(thm)], ['8', '22'])).
0.90/1.15	tff('24', plain,
0.90/1.15	    app_encode_app(int, int, 
0.90/1.15	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.90/1.15	        zero_zero(int)), zero_zero(int))
0.90/1.15	     = zero_zero(int),
0.90/1.15	    inference('sup+', [status(thm)], ['23', '8'])).
0.90/1.15	tff(zf_stmt_149, conjecture,
0.90/1.15	  (~
0.90/1.15	    app_encode_app(int,$o,twoSqu1567020053sum2sq,
0.90/1.15	                   app_encode_app(int,int,
0.90/1.15	                                  app_encode_app(int,app_encode_fun(int,int),
0.90/1.15	                                                 times_times(int),
0.90/1.15	                                                 app_encode_app(int,int,
0.90/1.15	                                                                app_encode_app(
0.90/1.15	                                                                int,
0.90/1.15	                                                                app_encode_fun(
0.90/1.15	                                                                int,int),
0.90/1.15	                                                                plus_plus(
0.90/1.15	                                                                int),
0.90/1.15	                                                                app_encode_app(
0.90/1.15	                                                                int,int,
0.90/1.15	                                                                app_encode_app(
0.90/1.15	                                                                int,
0.90/1.15	                                                                app_encode_fun(
0.90/1.15	                                                                int,int),
0.90/1.15	                                                                times_times(
0.90/1.15	                                                                int),
0.90/1.15	                                                                app_encode_app(
0.90/1.15	                                                                int,int,
0.90/1.15	                                                                number_number_of(
0.90/1.15	                                                                int),
0.90/1.15	                                                                app_encode_app(
0.90/1.15	                                                                int,int,bit0,
0.90/1.15	                                                                app_encode_app(
0.90/1.15	                                                                int,int,bit0,
0.90/1.15	                                                                app_encode_app(
0.90/1.15	                                                                int,int,bit1,
0.90/1.15	                                                                pls))))),m)),
0.90/1.15	                                                                one_one(int))),
0.90/1.15	                                  app_encode_app(int,int,
0.90/1.15	                                                 app_encode_app(int,
0.90/1.15	                                                                app_encode_fun(
0.90/1.15	                                                                int,int),
0.90/1.15	                                                                plus_plus(
0.90/1.15	                                                                int),
0.90/1.15	                                                                one_one(int)),
0.90/1.15	                                                 app_encode_app(nat,int,
0.90/1.15	                                                                semiring_1_of_nat(
0.90/1.15	                                                                int),
0.90/1.15	                                                                zero_zero(
0.90/1.15	                                                                nat))))))).
0.90/1.15	tff(zf_stmt_0, negated_conjecture,
0.90/1.15	  (app_encode_app(int,$o,twoSqu1567020053sum2sq,
0.90/1.15	                  app_encode_app(int,int,
0.90/1.15	                                 app_encode_app(int,app_encode_fun(int,int),
0.90/1.15	                                                times_times(int),
0.90/1.15	                                                app_encode_app(int,int,
0.90/1.15	                                                               app_encode_app(
0.90/1.15	                                                               int,
0.90/1.15	                                                               app_encode_fun(
0.90/1.15	                                                               int,int),
0.90/1.15	                                                               plus_plus(int),
0.90/1.15	                                                               app_encode_app(
0.90/1.15	                                                               int,int,
0.90/1.15	                                                               app_encode_app(
0.90/1.15	                                                               int,
0.90/1.15	                                                               app_encode_fun(
0.90/1.15	                                                               int,int),
0.90/1.15	                                                               times_times(
0.90/1.15	                                                               int),
0.90/1.15	                                                               app_encode_app(
0.90/1.15	                                                               int,int,
0.90/1.15	                                                               number_number_of(
0.90/1.15	                                                               int),
0.90/1.15	                                                               app_encode_app(
0.90/1.15	                                                               int,int,bit0,
0.90/1.15	                                                               app_encode_app(
0.90/1.15	                                                               int,int,bit0,
0.90/1.15	                                                               app_encode_app(
0.90/1.15	                                                               int,int,bit1,
0.90/1.15	                                                               pls))))),m)),
0.90/1.15	                                                               one_one(int))),
0.90/1.15	                                 app_encode_app(int,int,
0.90/1.15	                                                app_encode_app(int,
0.90/1.15	                                                               app_encode_fun(
0.90/1.15	                                                               int,int),
0.90/1.15	                                                               plus_plus(int),
0.90/1.15	                                                               one_one(int)),
0.90/1.15	                                                app_encode_app(nat,int,
0.90/1.15	                                                               semiring_1_of_nat(
0.90/1.15	                                                               int),
0.90/1.15	                                                               zero_zero(nat))))))).
0.90/1.15	tff('25', plain,
0.90/1.15	    app_encode_app(int, $o, twoSqu1567020053sum2sq, 
0.90/1.15	      app_encode_app(int, int, 
0.90/1.15	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.90/1.15	          app_encode_app(int, int, 
0.90/1.15	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.90/1.15	              app_encode_app(int, int, 
0.90/1.15	                app_encode_app(int, app_encode_fun(int, int), 
0.90/1.15	                  times_times(int), 
0.90/1.15	                  app_encode_app(int, int, number_number_of(int), 
0.90/1.15	                    app_encode_app(int, int, bit0, 
0.90/1.15	                      app_encode_app(int, int, bit0, 
0.90/1.15	                        app_encode_app(int, int, bit1, pls))))), m)), 
0.90/1.15	            one_one(int))), 
0.90/1.15	        app_encode_app(int, int, 
0.90/1.15	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.90/1.15	            one_one(int)), 
0.90/1.15	          app_encode_app(nat, int, semiring_1_of_nat(int), zero_zero(nat))))),
0.90/1.15	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.90/1.15	tff('26', plain,
0.90/1.15	    app_encode_app(int, $o, twoSqu1567020053sum2sq, 
0.90/1.15	      app_encode_app(int, int, 
0.90/1.15	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
0.90/1.15	          app_encode_app(int, int, 
0.90/1.15	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
0.90/1.15	              app_encode_app(int, int, 
0.90/1.15	                app_encode_app(int, app_encode_fun(int, int), 
0.90/1.15	                  times_times(int), 
0.90/1.15	                  app_encode_app(int, int, number_number_of(int), 
0.90/1.15	                    app_encode_app(int, int, bit0, 
0.90/1.15	                      app_encode_app(int, int, bit0, 
0.90/1.15	                        app_encode_app(int, int, bit1, zero_zero(int)))))), 
0.90/1.15	                m)), 
0.90/1.15	            app_encode_app(int, int, number_number_of(int), 
0.90/1.15	              app_encode_app(int, int, bit1, zero_zero(int))))), 
0.90/1.15	        app_encode_app(int, int, number_number_of(int), 
0.90/1.15	          app_encode_app(int, int, bit1, zero_zero(int))))),
0.90/1.15	    inference('demod', [status(thm)],
0.90/1.15	              ['25', '1', '7', '7', '8', '14', '18', '24'])).
0.90/1.15	tff('27', plain, ~ $true,
0.90/1.15	    inference('demod', [status(thm)],
0.90/1.15	              ['2', '7', '7', '8', '14', '18', '24', '26'])).
0.90/1.15	tff('28', plain, $false, inference('simplify', [status(thm)], ['27'])).
0.90/1.15	
0.90/1.15	% SZS output end Refutation
0.90/1.16	EOF
