0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : appext
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : kbo
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n049.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 08:07:23 CST 2018
1.56/1.77	% done 1032 iterations in 1.558s
1.56/1.77	% SZS status Theorem for 'stdin'
1.56/1.77	% SZS output start Refutation
1.56/1.77	tff(zf_stmt_36, axiom,
1.56/1.77	  (~
1.56/1.77	    app_encode_app(int,$o,twoSqu1567020053sum2sq,
1.56/1.77	                   app_encode_app(int,int,
1.56/1.77	                                  app_encode_app(int,app_encode_fun(int,int),
1.56/1.77	                                                 times_times(int),
1.56/1.77	                                                 app_encode_app(int,int,
1.56/1.77	                                                                app_encode_app(
1.56/1.77	                                                                int,
1.56/1.77	                                                                app_encode_fun(
1.56/1.77	                                                                int,int),
1.56/1.77	                                                                plus_plus(
1.56/1.77	                                                                int),
1.56/1.77	                                                                app_encode_app(
1.56/1.77	                                                                int,int,
1.56/1.77	                                                                app_encode_app(
1.56/1.77	                                                                int,
1.56/1.77	                                                                app_encode_fun(
1.56/1.77	                                                                int,int),
1.56/1.77	                                                                times_times(
1.56/1.77	                                                                int),
1.56/1.77	                                                                app_encode_app(
1.56/1.77	                                                                int,int,
1.56/1.77	                                                                number_number_of(
1.56/1.77	                                                                int),
1.56/1.77	                                                                app_encode_app(
1.56/1.77	                                                                int,int,bit0,
1.56/1.77	                                                                app_encode_app(
1.56/1.77	                                                                int,int,bit0,
1.56/1.77	                                                                app_encode_app(
1.56/1.77	                                                                int,int,bit1,
1.56/1.77	                                                                pls))))),m)),
1.56/1.77	                                                                one_one(int))),
1.56/1.77	                                  app_encode_app(int,int,
1.56/1.77	                                                 app_encode_app(int,
1.56/1.77	                                                                app_encode_fun(
1.56/1.77	                                                                int,int),
1.56/1.77	                                                                plus_plus(
1.56/1.77	                                                                int),
1.56/1.77	                                                                one_one(int)),
1.56/1.77	                                                 app_encode_app(nat,int,
1.56/1.77	                                                                semiring_1_of_nat(
1.56/1.77	                                                                int),
1.56/1.77	                                                                zero_zero(
1.56/1.77	                                                                nat))))))).
1.56/1.77	tff('0', plain,
1.56/1.77	    ~ app_encode_app(int, $o, twoSqu1567020053sum2sq, 
1.56/1.77	        app_encode_app(int, int, 
1.56/1.77	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.56/1.77	            app_encode_app(int, int, 
1.56/1.77	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.56/1.77	                app_encode_app(int, int, 
1.56/1.77	                  app_encode_app(int, app_encode_fun(int, int), 
1.56/1.77	                    times_times(int), 
1.56/1.77	                    app_encode_app(int, int, number_number_of(int), 
1.56/1.77	                      app_encode_app(int, int, bit0, 
1.56/1.77	                        app_encode_app(int, int, bit0, 
1.56/1.77	                          app_encode_app(int, int, bit1, pls))))), m)), 
1.56/1.77	              one_one(int))), 
1.56/1.77	          app_encode_app(int, int, 
1.56/1.77	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.56/1.77	              one_one(int)), 
1.56/1.77	            app_encode_app(nat, int, semiring_1_of_nat(int), zero_zero(nat))))),
1.56/1.77	    inference('cnf', [status(esa)], [zf_stmt_36])).
1.56/1.77	tff(zf_stmt_129, axiom,
1.56/1.77	  (app_encode_app(nat,int,semiring_1_of_nat(int),zero_zero(nat)) =
1.56/1.77	   zero_zero(int))).
1.56/1.77	tff('1', plain,
1.56/1.77	    app_encode_app(nat, int, semiring_1_of_nat(int), zero_zero(nat))
1.56/1.77	     = zero_zero(int),
1.56/1.77	    inference('cnf', [status(esa)], [zf_stmt_129])).
1.56/1.77	tff(zf_stmt_117, axiom, (pls = zero_zero(int))).
1.56/1.77	tff('2', plain, pls = zero_zero(int),
1.56/1.77	    inference('cnf', [status(esa)], [zf_stmt_117])).
1.56/1.77	tff('3', plain,
1.56/1.77	    app_encode_app(nat, int, semiring_1_of_nat(int), zero_zero(nat)) = pls,
1.56/1.77	    inference('demod', [status(thm)], ['1', '2'])).
1.56/1.77	tff('4', plain,
1.56/1.77	    ~ app_encode_app(int, $o, twoSqu1567020053sum2sq, 
1.56/1.77	        app_encode_app(int, int, 
1.56/1.77	          app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.56/1.77	            app_encode_app(int, int, 
1.56/1.77	              app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.56/1.77	                app_encode_app(int, int, 
1.56/1.77	                  app_encode_app(int, app_encode_fun(int, int), 
1.56/1.77	                    times_times(int), 
1.56/1.77	                    app_encode_app(int, int, number_number_of(int), 
1.56/1.77	                      app_encode_app(int, int, bit0, 
1.56/1.77	                        app_encode_app(int, int, bit0, 
1.56/1.77	                          app_encode_app(int, int, bit1, pls))))), m)), 
1.56/1.77	              one_one(int))), 
1.56/1.77	          app_encode_app(int, int, 
1.56/1.77	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.56/1.77	              one_one(int)), pls))),
1.56/1.77	    inference('demod', [status(thm)], ['0', '3'])).
1.56/1.77	tff(zf_stmt_125, axiom,
1.56/1.77	  (app_encode_app(nat,int,semiring_1_of_nat(int),one_one(nat)) = one_one(int))).
1.56/1.77	tff('5', plain,
1.56/1.77	    app_encode_app(nat, int, semiring_1_of_nat(int), one_one(nat))
1.56/1.77	     = one_one(int),
1.56/1.77	    inference('cnf', [status(esa)], [zf_stmt_125])).
1.56/1.77	tff(zf_stmt_120, axiom,
1.56/1.77	  (![N1:nat,M:nat]:
1.56/1.77	     (app_encode_app(int,int,
1.56/1.77	                     app_encode_app(int,app_encode_fun(int,int),
1.56/1.77	                                    plus_plus(int),
1.56/1.77	                                    app_encode_app(nat,int,
1.56/1.77	                                                   semiring_1_of_nat(int),M)),
1.56/1.77	                     app_encode_app(nat,int,semiring_1_of_nat(int),N1)) =
1.56/1.77	      app_encode_app(nat,int,semiring_1_of_nat(int),
1.56/1.77	                     app_encode_app(nat,nat,
1.56/1.77	                                    app_encode_app(nat,
1.56/1.77	                                                   app_encode_fun(nat,nat),
1.56/1.77	                                                   plus_plus(nat),M),
1.56/1.77	                                    N1))))).
1.56/1.77	tff('6', plain,
1.56/1.77	    ![X184 : nat, X185 : nat]:
1.56/1.77	      app_encode_app(int, int, 
1.56/1.77	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.56/1.77	          app_encode_app(nat, int, semiring_1_of_nat(int), X184)), 
1.56/1.77	        app_encode_app(nat, int, semiring_1_of_nat(int), X185))
1.56/1.77	       = app_encode_app(nat, int, semiring_1_of_nat(int), 
1.56/1.77	           app_encode_app(nat, nat, 
1.56/1.77	             app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
1.56/1.77	               X184), X185)),
1.56/1.77	    inference('cnf', [status(esa)], [zf_stmt_120])).
1.56/1.77	tff('7', plain,
1.56/1.77	    ![X0 : nat]:
1.56/1.77	      app_encode_app(int, int, 
1.56/1.77	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.56/1.77	          app_encode_app(nat, int, semiring_1_of_nat(int), X0)), pls)
1.56/1.77	       = app_encode_app(nat, int, semiring_1_of_nat(int), 
1.56/1.77	           app_encode_app(nat, nat, 
1.56/1.77	             app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), 
1.56/1.77	               X0), zero_zero(nat))),
1.56/1.77	    inference('sup+', [status(thm)], ['3', '6'])).
1.56/1.77	tff(zf_stmt_112, axiom,
1.56/1.77	  (![M:nat]:
1.56/1.77	     (app_encode_app(nat,nat,
1.56/1.77	                     app_encode_app(nat,app_encode_fun(nat,nat),
1.56/1.77	                                    plus_plus(nat),M),
1.56/1.77	                     zero_zero(nat)) =
1.56/1.77	      M))).
1.56/1.77	tff('8', plain,
1.56/1.77	    ![X173 : nat]:
1.56/1.77	      app_encode_app(nat, nat, 
1.56/1.77	        app_encode_app(nat, app_encode_fun(nat, nat), plus_plus(nat), X173), 
1.56/1.77	        zero_zero(nat))
1.56/1.77	       = X173,
1.56/1.77	    inference('cnf', [status(esa)], [zf_stmt_112])).
1.56/1.77	tff('9', plain,
1.56/1.77	    ![X0 : nat]:
1.56/1.77	      app_encode_app(int, int, 
1.56/1.77	        app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.56/1.77	          app_encode_app(nat, int, semiring_1_of_nat(int), X0)), pls)
1.56/1.77	       = app_encode_app(nat, int, semiring_1_of_nat(int), X0),
1.56/1.77	    inference('demod', [status(thm)], ['7', '8'])).
1.56/1.77	tff('10', plain,
1.56/1.77	    app_encode_app(int, int, 
1.56/1.77	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.56/1.77	        one_one(int)), pls)
1.56/1.77	     = app_encode_app(nat, int, semiring_1_of_nat(int), one_one(nat)),
1.56/1.77	    inference('sup+', [status(thm)], ['5', '9'])).
1.56/1.77	tff('11', plain,
1.56/1.77	    app_encode_app(int, int, 
1.56/1.77	      app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.56/1.77	        one_one(int)), pls)
1.56/1.77	     = one_one(int),
1.56/1.77	    inference('demod', [status(thm)], ['10', '5'])).
1.56/1.77	tff(zf_stmt_150, conjecture,
1.56/1.77	  (~
1.56/1.77	    app_encode_app(int,$o,twoSqu1567020053sum2sq,
1.56/1.77	                   app_encode_app(int,int,
1.56/1.77	                                  app_encode_app(int,app_encode_fun(int,int),
1.56/1.77	                                                 times_times(int),
1.56/1.77	                                                 app_encode_app(int,int,
1.56/1.77	                                                                app_encode_app(
1.56/1.77	                                                                int,
1.56/1.77	                                                                app_encode_fun(
1.56/1.77	                                                                int,int),
1.56/1.77	                                                                plus_plus(
1.56/1.77	                                                                int),
1.56/1.77	                                                                app_encode_app(
1.56/1.77	                                                                int,int,
1.56/1.77	                                                                app_encode_app(
1.56/1.77	                                                                int,
1.56/1.77	                                                                app_encode_fun(
1.56/1.77	                                                                int,int),
1.56/1.77	                                                                times_times(
1.56/1.77	                                                                int),
1.56/1.77	                                                                app_encode_app(
1.56/1.77	                                                                int,int,
1.56/1.77	                                                                number_number_of(
1.56/1.77	                                                                int),
1.56/1.77	                                                                app_encode_app(
1.56/1.77	                                                                int,int,bit0,
1.56/1.77	                                                                app_encode_app(
1.56/1.77	                                                                int,int,bit0,
1.56/1.77	                                                                app_encode_app(
1.56/1.77	                                                                int,int,bit1,
1.56/1.77	                                                                pls))))),m)),
1.56/1.77	                                                                one_one(int))),
1.56/1.77	                                  app_encode_app(int,int,
1.56/1.77	                                                 app_encode_app(int,
1.56/1.77	                                                                app_encode_fun(
1.56/1.77	                                                                int,int),
1.56/1.77	                                                                plus_plus(
1.56/1.77	                                                                int),
1.56/1.77	                                                                one_one(int)),
1.56/1.77	                                                 app_encode_app(nat,int,
1.56/1.77	                                                                semiring_1_of_nat(
1.56/1.77	                                                                int),
1.56/1.77	                                                                zero_zero(
1.56/1.77	                                                                nat))))))).
1.56/1.77	tff(zf_stmt_0, negated_conjecture,
1.56/1.77	  (app_encode_app(int,$o,twoSqu1567020053sum2sq,
1.56/1.77	                  app_encode_app(int,int,
1.56/1.77	                                 app_encode_app(int,app_encode_fun(int,int),
1.56/1.77	                                                times_times(int),
1.56/1.77	                                                app_encode_app(int,int,
1.56/1.77	                                                               app_encode_app(
1.56/1.77	                                                               int,
1.56/1.77	                                                               app_encode_fun(
1.56/1.77	                                                               int,int),
1.56/1.77	                                                               plus_plus(int),
1.56/1.77	                                                               app_encode_app(
1.56/1.77	                                                               int,int,
1.56/1.77	                                                               app_encode_app(
1.56/1.77	                                                               int,
1.56/1.77	                                                               app_encode_fun(
1.56/1.77	                                                               int,int),
1.56/1.77	                                                               times_times(
1.56/1.77	                                                               int),
1.56/1.77	                                                               app_encode_app(
1.56/1.77	                                                               int,int,
1.56/1.77	                                                               number_number_of(
1.56/1.77	                                                               int),
1.56/1.77	                                                               app_encode_app(
1.56/1.77	                                                               int,int,bit0,
1.56/1.77	                                                               app_encode_app(
1.56/1.77	                                                               int,int,bit0,
1.56/1.77	                                                               app_encode_app(
1.56/1.77	                                                               int,int,bit1,
1.56/1.77	                                                               pls))))),m)),
1.56/1.77	                                                               one_one(int))),
1.56/1.77	                                 app_encode_app(int,int,
1.56/1.77	                                                app_encode_app(int,
1.56/1.77	                                                               app_encode_fun(
1.56/1.77	                                                               int,int),
1.56/1.77	                                                               plus_plus(int),
1.56/1.77	                                                               one_one(int)),
1.56/1.77	                                                app_encode_app(nat,int,
1.56/1.77	                                                               semiring_1_of_nat(
1.56/1.77	                                                               int),
1.56/1.77	                                                               zero_zero(nat))))))).
1.56/1.77	tff('12', plain,
1.56/1.77	    app_encode_app(int, $o, twoSqu1567020053sum2sq, 
1.56/1.77	      app_encode_app(int, int, 
1.56/1.77	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.56/1.77	          app_encode_app(int, int, 
1.56/1.77	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.56/1.77	              app_encode_app(int, int, 
1.56/1.77	                app_encode_app(int, app_encode_fun(int, int), 
1.56/1.77	                  times_times(int), 
1.56/1.77	                  app_encode_app(int, int, number_number_of(int), 
1.56/1.77	                    app_encode_app(int, int, bit0, 
1.56/1.77	                      app_encode_app(int, int, bit0, 
1.56/1.77	                        app_encode_app(int, int, bit1, pls))))), m)), 
1.56/1.77	            one_one(int))), 
1.56/1.77	        app_encode_app(int, int, 
1.56/1.77	          app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.56/1.77	            one_one(int)), 
1.56/1.77	          app_encode_app(nat, int, semiring_1_of_nat(int), zero_zero(nat))))),
1.56/1.77	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.56/1.77	tff('13', plain,
1.56/1.77	    app_encode_app(int, $o, twoSqu1567020053sum2sq, 
1.56/1.77	      app_encode_app(int, int, 
1.56/1.77	        app_encode_app(int, app_encode_fun(int, int), times_times(int), 
1.56/1.77	          app_encode_app(int, int, 
1.56/1.77	            app_encode_app(int, app_encode_fun(int, int), plus_plus(int), 
1.56/1.77	              app_encode_app(int, int, 
1.56/1.77	                app_encode_app(int, app_encode_fun(int, int), 
1.56/1.77	                  times_times(int), 
1.56/1.77	                  app_encode_app(int, int, number_number_of(int), 
1.56/1.77	                    app_encode_app(int, int, bit0, 
1.56/1.77	                      app_encode_app(int, int, bit0, 
1.56/1.77	                        app_encode_app(int, int, bit1, pls))))), m)), 
1.56/1.77	            one_one(int))), one_one(int))),
1.56/1.77	    inference('demod', [status(thm)], ['12', '3', '11'])).
1.56/1.77	tff('14', plain, ~ $true,
1.56/1.77	    inference('demod', [status(thm)], ['4', '11', '13'])).
1.56/1.77	tff('15', plain, $false, inference('simplify', [status(thm)], ['14'])).
1.56/1.77	
1.56/1.77	% SZS output end Refutation
1.56/1.77	EOF
