0.00/0.01	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : app
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : rpo6
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.21	% Computer   : n041.star.cs.uiowa.edu
0.00/0.21	% Model      : x86_64 x86_64
0.00/0.21	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.21	% Memory     : 32218.625MB
0.00/0.21	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.21	% CPULimit   : 300
0.00/0.21	% DateTime   : Fri Feb  2 17:14:40 CST 2018
0.00/0.23	% done 13 iterations in 0.012s
0.00/0.23	% SZS status Theorem for 'stdin'
0.00/0.23	% SZS output start Refutation
0.00/0.23	tff(zf_stmt_9, conjecture,
0.00/0.23	  (cartprodmempair1 =>
0.00/0.23	   (setukpairinjL =>
0.00/0.23	    (![A,B,Xx,Xy]:
0.00/0.23	       (app_encode_app($i,$o,
0.00/0.23	                       app_encode_app($i,app_encode_fun($i,$o),in,
0.00/0.23	                                      app_encode_app($i,$i,
0.00/0.23	                                                     app_encode_app($i,
0.00/0.23	                                                                    app_encode_fun(
0.00/0.23	                                                                    $i,$i),
0.00/0.23	                                                                    kpair,Xx),
0.00/0.23	                                                     Xy)),
0.00/0.23	                       app_encode_app($i,$i,
0.00/0.23	                                      app_encode_app($i,
0.00/0.23	                                                     app_encode_fun($i,$i),
0.00/0.23	                                                     cartprod,A),
0.00/0.23	                                      B)) =>
0.00/0.23	        app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),A)))))).
0.00/0.23	tff(zf_stmt_0, negated_conjecture,
0.00/0.23	  (~
0.00/0.23	    (cartprodmempair1 =>
0.00/0.23	     (setukpairinjL =>
0.00/0.23	      (![A,B,Xx,Xy]:
0.00/0.23	         (app_encode_app($i,$o,
0.00/0.23	                         app_encode_app($i,app_encode_fun($i,$o),in,
0.00/0.23	                                        app_encode_app($i,$i,
0.00/0.23	                                                       app_encode_app(
0.00/0.23	                                                       $i,
0.00/0.23	                                                       app_encode_fun($i,$i),
0.00/0.23	                                                       kpair,Xx),Xy)),
0.00/0.23	                         app_encode_app($i,$i,
0.00/0.23	                                        app_encode_app($i,
0.00/0.23	                                                       app_encode_fun($i,$i),
0.00/0.23	                                                       cartprod,A),
0.00/0.23	                                        B)) =>
0.00/0.23	          app_encode_app($i,$o,
0.00/0.23	                         app_encode_app($i,app_encode_fun($i,$o),in,Xx),A))))))).
0.00/0.23	tff('0', plain,
0.00/0.23	    app_encode_app($i, $o, 
0.00/0.23	      app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.23	        app_encode_app($i, $i, 
0.00/0.23	          app_encode_app($i, app_encode_fun($i, $i), kpair, sk_Xx2), sk_Xy2)), 
0.00/0.23	      app_encode_app($i, $i, 
0.00/0.23	        app_encode_app($i, app_encode_fun($i, $i), cartprod, sk_A1), sk_B1)),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff(zf_stmt_6, axiom,
0.00/0.23	  (cartprodmempair1 <=>
0.00/0.23	   (![A,B,Xu]:
0.00/0.23	      (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xu),
0.00/0.23	                      app_encode_app($i,$i,
0.00/0.23	                                     app_encode_app($i,app_encode_fun($i,$i),
0.00/0.23	                                                    cartprod,A),
0.00/0.23	                                     B)) =>
0.00/0.23	       (?[Xx]:
0.00/0.23	          (app_encode_app($i,$o,
0.00/0.23	                          app_encode_app($i,app_encode_fun($i,$o),in,Xx),A) & 
0.00/0.23	           (?[Xy]:
0.00/0.23	              (app_encode_app($i,$o,
0.00/0.23	                              app_encode_app($i,app_encode_fun($i,$o),in,Xy),
0.00/0.23	                              B) & 
0.00/0.23	               (Xu =
0.00/0.23	                app_encode_app($i,$i,
0.00/0.23	                               app_encode_app($i,app_encode_fun($i,$i),kpair,
0.00/0.23	                                              Xx),
0.00/0.23	                               Xy)))))))))).
0.00/0.23	tff('1', plain,
0.00/0.23	    ![X0, X1, X2]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X0), 
0.00/0.23	           app_encode_app($i, $i, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $i), cartprod, X1), X2))
0.00/0.23	       | X0
0.00/0.23	          = app_encode_app($i, $i, 
0.00/0.23	              app_encode_app($i, app_encode_fun($i, $i), kpair, 
0.00/0.23	                sk_Xx(X0, X2, X1)), sk_Xy(X0, X2, X1))
0.00/0.23	       | ~ cartprodmempair1),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_6])).
0.00/0.23	tff('2', plain, cartprodmempair1,
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('3', plain,
0.00/0.23	    ![X0, X1, X2]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X0), 
0.00/0.23	           app_encode_app($i, $i, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $i), cartprod, X1), X2))
0.00/0.23	       | X0
0.00/0.23	          = app_encode_app($i, $i, 
0.00/0.23	              app_encode_app($i, app_encode_fun($i, $i), kpair, 
0.00/0.23	                sk_Xx(X0, X2, X1)), sk_Xy(X0, X2, X1))
0.00/0.23	       | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['1', '2'])).
0.00/0.23	tff('4', plain,
0.00/0.23	    ![X0, X1, X2]:
0.00/0.23	      (X0
0.00/0.23	        = app_encode_app($i, $i, 
0.00/0.23	            app_encode_app($i, app_encode_fun($i, $i), kpair, 
0.00/0.23	              sk_Xx(X0, X2, X1)), sk_Xy(X0, X2, X1))
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
0.00/0.23	             app_encode_app($i, $i, 
0.00/0.23	               app_encode_app($i, app_encode_fun($i, $i), cartprod, X1), X2))),
0.00/0.23	    inference('simplify', [status(thm)], ['3'])).
0.00/0.23	tff(zf_stmt_8, axiom,
0.00/0.23	  (setukpairinjL <=>
0.00/0.23	   (![Xx,Xy,Xz,Xu]:
0.00/0.23	      ((app_encode_app($i,$i,
0.00/0.23	                       app_encode_app($i,app_encode_fun($i,$i),kpair,Xx),Xy) =
0.00/0.23	        app_encode_app($i,$i,
0.00/0.23	                       app_encode_app($i,app_encode_fun($i,$i),kpair,Xz),Xu)) =>
0.00/0.23	       (Xx = Xz))))).
0.00/0.23	tff('5', plain,
0.00/0.23	    ![X5, X6, X7, X8]:
0.00/0.23	      (app_encode_app($i, $i, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $i), kpair, X7), X8)
0.00/0.23	        != app_encode_app($i, $i, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $i), kpair, X5), X6)
0.00/0.23	       | X7 = X5
0.00/0.23	       | ~ setukpairinjL),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_8])).
0.00/0.23	tff('6', plain, setukpairinjL, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('7', plain,
0.00/0.23	    ![X5, X6, X7, X8]:
0.00/0.23	      (app_encode_app($i, $i, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $i), kpair, X7), X8)
0.00/0.23	        != app_encode_app($i, $i, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $i), kpair, X5), X6)
0.00/0.23	       | X7 = X5
0.00/0.23	       | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['5', '6'])).
0.00/0.23	tff('8', plain,
0.00/0.23	    ![X5, X6, X7, X8]:
0.00/0.23	      (X7 = X5
0.00/0.23	       | app_encode_app($i, $i, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $i), kpair, X7), X8)
0.00/0.23	          != app_encode_app($i, $i, 
0.00/0.23	               app_encode_app($i, app_encode_fun($i, $i), kpair, X5), X6)),
0.00/0.23	    inference('simplify', [status(thm)], ['7'])).
0.00/0.23	tff('9', plain,
0.00/0.23	    ![X0, X1, X2, X3, X4]:
0.00/0.23	      (app_encode_app($i, $i, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $i), kpair, X4), X3)
0.00/0.23	        != X0
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
0.00/0.23	             app_encode_app($i, $i, 
0.00/0.23	               app_encode_app($i, app_encode_fun($i, $i), cartprod, X1), X2))
0.00/0.23	       | X4 = sk_Xx(X0, X2, X1)),
0.00/0.23	    inference('sup-', [status(thm)], ['4', '8'])).
0.00/0.23	tff('10', plain,
0.00/0.23	    ![X1, X2, X3, X4]:
0.00/0.23	      (X4
0.00/0.23	        = sk_Xx(
0.00/0.23	            app_encode_app($i, $i, 
0.00/0.23	              app_encode_app($i, app_encode_fun($i, $i), kpair, X4), X3), 
0.00/0.23	            X2, X1)
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.23	               app_encode_app($i, $i, 
0.00/0.23	                 app_encode_app($i, app_encode_fun($i, $i), kpair, X4), X3)), 
0.00/0.23	             app_encode_app($i, $i, 
0.00/0.23	               app_encode_app($i, app_encode_fun($i, $i), cartprod, X1), X2))),
0.00/0.23	    inference('simplify', [status(thm)], ['9'])).
0.00/0.23	tff('11', plain,
0.00/0.23	    ![X0, X1, X2]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X0), 
0.00/0.23	           app_encode_app($i, $i, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $i), cartprod, X1), X2))
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X0, X2, X1)), 
0.00/0.23	           X1)
0.00/0.23	       | ~ cartprodmempair1),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_6])).
0.00/0.23	tff('12', plain,
0.00/0.23	    ![X0, X1, X2]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X0), 
0.00/0.23	           app_encode_app($i, $i, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $i), cartprod, X1), X2))
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X0, X2, X1)), 
0.00/0.23	           X1)
0.00/0.23	       | ~ $true),
0.00/0.23	    inference('demod', [status(thm)], ['11', '2'])).
0.00/0.23	tff('13', plain,
0.00/0.23	    ![X0, X1, X2]:
0.00/0.23	      (app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X0, X2, X1)), 
0.00/0.23	         X1)
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
0.00/0.23	             app_encode_app($i, $i, 
0.00/0.23	               app_encode_app($i, app_encode_fun($i, $i), cartprod, X1), X2))),
0.00/0.23	    inference('simplify', [status(thm)], ['12'])).
0.00/0.23	tff('14', plain,
0.00/0.23	    ![X0, X1, X2, X3]:
0.00/0.23	      (app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), in, X0), X1)
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.23	               app_encode_app($i, $i, 
0.00/0.23	                 app_encode_app($i, app_encode_fun($i, $i), kpair, X0), X3)), 
0.00/0.23	             app_encode_app($i, $i, 
0.00/0.23	               app_encode_app($i, app_encode_fun($i, $i), cartprod, X1), X2))
0.00/0.23	       | ~ app_encode_app($i, $o, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.23	               app_encode_app($i, $i, 
0.00/0.23	                 app_encode_app($i, app_encode_fun($i, $i), kpair, X0), X3)), 
0.00/0.23	             app_encode_app($i, $i, 
0.00/0.23	               app_encode_app($i, app_encode_fun($i, $i), cartprod, X1), X2))),
0.00/0.23	    inference('sup+', [status(thm)], ['10', '13'])).
0.00/0.23	tff('15', plain,
0.00/0.23	    ![X0, X1, X2, X3]:
0.00/0.23	      (~ app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.23	             app_encode_app($i, $i, 
0.00/0.23	               app_encode_app($i, app_encode_fun($i, $i), kpair, X0), X3)), 
0.00/0.23	           app_encode_app($i, $i, 
0.00/0.23	             app_encode_app($i, app_encode_fun($i, $i), cartprod, X1), X2))
0.00/0.23	       | app_encode_app($i, $o, 
0.00/0.23	           app_encode_app($i, app_encode_fun($i, $o), in, X0), X1)),
0.00/0.23	    inference('simplify', [status(thm)], ['14'])).
0.00/0.23	tff('16', plain,
0.00/0.23	    (~ $true
0.00/0.23	     | app_encode_app($i, $o, 
0.00/0.23	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx2), sk_A1)),
0.00/0.23	    inference('sup-', [status(thm)], ['0', '15'])).
0.00/0.23	tff('17', plain,
0.00/0.23	    app_encode_app($i, $o, 
0.00/0.23	      app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx2), sk_A1),
0.00/0.23	    inference('simplify', [status(thm)], ['16'])).
0.00/0.23	tff('18', plain,
0.00/0.23	    ~ app_encode_app($i, $o, 
0.00/0.23	        app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx2), sk_A1),
0.00/0.23	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.23	tff('19', plain, ~ $true, inference('sup-', [status(thm)], ['17', '18'])).
0.00/0.23	tff('20', plain, $false, inference('simplify', [status(thm)], ['19'])).
0.00/0.23	
0.00/0.23	% SZS output end Refutation
0.00/0.23	EOF
