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    : 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 $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n114.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:14:41 CST 2018
0.00/0.22	% done 14 iterations in 0.012s
0.00/0.22	% SZS status Theorem for 'stdin'
0.00/0.22	% SZS output start Refutation
0.00/0.22	tff(zf_stmt_10, conjecture,
0.00/0.22	  (cartprodmempair1 =>
0.00/0.22	   (setukpairinjL =>
0.00/0.22	    (![A,B,Xx,Xy]:
0.00/0.22	       (app_encode_app($i,$o,
0.00/0.22	                       app_encode_app($i,app_encode_fun($i,$o),in,
0.00/0.22	                                      app_encode_app($i,$i,
0.00/0.22	                                                     app_encode_app($i,
0.00/0.22	                                                                    app_encode_fun(
0.00/0.22	                                                                    $i,$i),
0.00/0.22	                                                                    kpair,Xx),
0.00/0.22	                                                     Xy)),
0.00/0.22	                       app_encode_app($i,$i,
0.00/0.22	                                      app_encode_app($i,
0.00/0.22	                                                     app_encode_fun($i,$i),
0.00/0.22	                                                     cartprod,A),
0.00/0.22	                                      B)) =>
0.00/0.22	        app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xx),A)))))).
0.00/0.22	tff(zf_stmt_0, negated_conjecture,
0.00/0.22	  (~
0.00/0.22	    (cartprodmempair1 =>
0.00/0.22	     (setukpairinjL =>
0.00/0.22	      (![A,B,Xx,Xy]:
0.00/0.22	         (app_encode_app($i,$o,
0.00/0.22	                         app_encode_app($i,app_encode_fun($i,$o),in,
0.00/0.22	                                        app_encode_app($i,$i,
0.00/0.22	                                                       app_encode_app(
0.00/0.22	                                                       $i,
0.00/0.22	                                                       app_encode_fun($i,$i),
0.00/0.22	                                                       kpair,Xx),Xy)),
0.00/0.22	                         app_encode_app($i,$i,
0.00/0.22	                                        app_encode_app($i,
0.00/0.22	                                                       app_encode_fun($i,$i),
0.00/0.22	                                                       cartprod,A),
0.00/0.22	                                        B)) =>
0.00/0.22	          app_encode_app($i,$o,
0.00/0.22	                         app_encode_app($i,app_encode_fun($i,$o),in,Xx),A))))))).
0.00/0.22	tff('0', plain,
0.00/0.22	    app_encode_app($i, $o, 
0.00/0.22	      app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.22	        app_encode_app($i, $i, 
0.00/0.22	          app_encode_app($i, app_encode_fun($i, $i), kpair, sk_Xx2), sk_Xy2)), 
0.00/0.22	      app_encode_app($i, $i, 
0.00/0.22	        app_encode_app($i, app_encode_fun($i, $i), cartprod, sk_A1), sk_B1)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff(zf_stmt_7, axiom,
0.00/0.22	  (cartprodmempair1 <=>
0.00/0.22	   (![A,B,Xu]:
0.00/0.22	      (app_encode_app($i,$o,app_encode_app($i,app_encode_fun($i,$o),in,Xu),
0.00/0.22	                      app_encode_app($i,$i,
0.00/0.22	                                     app_encode_app($i,app_encode_fun($i,$i),
0.00/0.22	                                                    cartprod,A),
0.00/0.22	                                     B)) =>
0.00/0.22	       (?[Xx]:
0.00/0.22	          (app_encode_app($i,$o,
0.00/0.22	                          app_encode_app($i,app_encode_fun($i,$o),in,Xx),A) & 
0.00/0.22	           (?[Xy]:
0.00/0.22	              (app_encode_app($i,$o,
0.00/0.22	                              app_encode_app($i,app_encode_fun($i,$o),in,Xy),
0.00/0.22	                              B) & 
0.00/0.22	               (Xu =
0.00/0.22	                app_encode_app($i,$i,
0.00/0.22	                               app_encode_app($i,app_encode_fun($i,$i),kpair,
0.00/0.22	                                              Xx),
0.00/0.22	                               Xy)))))))))).
0.00/0.22	tff('1', plain,
0.00/0.22	    ![X4, X5, X6]:
0.00/0.22	      (~ app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, X4), 
0.00/0.22	           app_encode_app($i, $i, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $i), cartprod, X5), X6))
0.00/0.22	       | X4
0.00/0.22	          = app_encode_app($i, $i, 
0.00/0.22	              app_encode_app($i, app_encode_fun($i, $i), kpair, 
0.00/0.22	                sk_Xx(X4, X6, X5)), sk_Xy(X4, X6, X5))
0.00/0.22	       | ~ cartprodmempair1),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.22	tff('2', plain, cartprodmempair1,
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('3', plain,
0.00/0.22	    ![X4, X5, X6]:
0.00/0.22	      (~ app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, X4), 
0.00/0.22	           app_encode_app($i, $i, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $i), cartprod, X5), X6))
0.00/0.22	       | X4
0.00/0.22	          = app_encode_app($i, $i, 
0.00/0.22	              app_encode_app($i, app_encode_fun($i, $i), kpair, 
0.00/0.22	                sk_Xx(X4, X6, X5)), sk_Xy(X4, X6, X5))
0.00/0.22	       | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['1', '2'])).
0.00/0.22	tff('4', plain,
0.00/0.22	    ![X4, X5, X6]:
0.00/0.22	      (X4
0.00/0.22	        = app_encode_app($i, $i, 
0.00/0.22	            app_encode_app($i, app_encode_fun($i, $i), kpair, 
0.00/0.22	              sk_Xx(X4, X6, X5)), sk_Xy(X4, X6, X5))
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, X4), 
0.00/0.22	             app_encode_app($i, $i, 
0.00/0.22	               app_encode_app($i, app_encode_fun($i, $i), cartprod, X5), X6))),
0.00/0.22	    inference('simplify', [status(thm)], ['3'])).
0.00/0.22	tff(zf_stmt_9, axiom,
0.00/0.22	  (setukpairinjL <=>
0.00/0.22	   (![Xx,Xy,Xz,Xu]:
0.00/0.22	      ((app_encode_app($i,$i,
0.00/0.22	                       app_encode_app($i,app_encode_fun($i,$i),kpair,Xx),Xy) =
0.00/0.22	        app_encode_app($i,$i,
0.00/0.22	                       app_encode_app($i,app_encode_fun($i,$i),kpair,Xz),Xu)) =>
0.00/0.22	       (Xx = Xz))))).
0.00/0.22	tff('5', plain,
0.00/0.22	    ![X9, X10, X11, X12]:
0.00/0.22	      (app_encode_app($i, $i, 
0.00/0.22	         app_encode_app($i, app_encode_fun($i, $i), kpair, X11), X12)
0.00/0.22	        != app_encode_app($i, $i, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $i), kpair, X9), X10)
0.00/0.22	       | X11 = X9
0.00/0.22	       | ~ setukpairinjL),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_9])).
0.00/0.22	tff('6', plain, setukpairinjL, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('7', plain,
0.00/0.22	    ![X9, X10, X11, X12]:
0.00/0.22	      (app_encode_app($i, $i, 
0.00/0.22	         app_encode_app($i, app_encode_fun($i, $i), kpair, X11), X12)
0.00/0.22	        != app_encode_app($i, $i, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $i), kpair, X9), X10)
0.00/0.22	       | X11 = X9
0.00/0.22	       | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['5', '6'])).
0.00/0.22	tff('8', plain,
0.00/0.22	    ![X9, X10, X11, X12]:
0.00/0.22	      (X11 = X9
0.00/0.22	       | app_encode_app($i, $i, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $i), kpair, X11), X12)
0.00/0.22	          != app_encode_app($i, $i, 
0.00/0.22	               app_encode_app($i, app_encode_fun($i, $i), kpair, X9), X10)),
0.00/0.22	    inference('simplify', [status(thm)], ['7'])).
0.00/0.22	tff('9', plain,
0.00/0.22	    ![X0, X1, X2, X3, X4]:
0.00/0.22	      (app_encode_app($i, $i, 
0.00/0.22	         app_encode_app($i, app_encode_fun($i, $i), kpair, X4), X3)
0.00/0.22	        != X0
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, X0), 
0.00/0.22	             app_encode_app($i, $i, 
0.00/0.22	               app_encode_app($i, app_encode_fun($i, $i), cartprod, X1), X2))
0.00/0.22	       | X4 = sk_Xx(X0, X2, X1)),
0.00/0.22	    inference('sup-', [status(thm)], ['4', '8'])).
0.00/0.22	tff('10', plain,
0.00/0.22	    ![X1, X2, X3, X4]:
0.00/0.22	      (X4
0.00/0.22	        = sk_Xx(
0.00/0.22	            app_encode_app($i, $i, 
0.00/0.22	              app_encode_app($i, app_encode_fun($i, $i), kpair, X4), X3), 
0.00/0.22	            X2, X1)
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.22	               app_encode_app($i, $i, 
0.00/0.22	                 app_encode_app($i, app_encode_fun($i, $i), kpair, X4), X3)), 
0.00/0.22	             app_encode_app($i, $i, 
0.00/0.22	               app_encode_app($i, app_encode_fun($i, $i), cartprod, X1), X2))),
0.00/0.22	    inference('simplify', [status(thm)], ['9'])).
0.00/0.22	tff('11', plain,
0.00/0.22	    ![X4, X5, X6]:
0.00/0.22	      (~ app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, X4), 
0.00/0.22	           app_encode_app($i, $i, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $i), cartprod, X5), X6))
0.00/0.22	       | app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X6, X5)), 
0.00/0.22	           X5)
0.00/0.22	       | ~ cartprodmempair1),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.00/0.22	tff('12', plain,
0.00/0.22	    ![X4, X5, X6]:
0.00/0.22	      (~ app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, X4), 
0.00/0.22	           app_encode_app($i, $i, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $i), cartprod, X5), X6))
0.00/0.22	       | app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X6, X5)), 
0.00/0.22	           X5)
0.00/0.22	       | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['11', '2'])).
0.00/0.22	tff('13', plain,
0.00/0.22	    ![X4, X5, X6]:
0.00/0.22	      (app_encode_app($i, $o, 
0.00/0.22	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx(X4, X6, X5)), 
0.00/0.22	         X5)
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, X4), 
0.00/0.22	             app_encode_app($i, $i, 
0.00/0.22	               app_encode_app($i, app_encode_fun($i, $i), cartprod, X5), X6))),
0.00/0.22	    inference('simplify', [status(thm)], ['12'])).
0.00/0.22	tff('14', plain,
0.00/0.22	    ![X0, X1, X2, X3]:
0.00/0.22	      (app_encode_app($i, $o, 
0.00/0.22	         app_encode_app($i, app_encode_fun($i, $o), in, X0), X1)
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.22	               app_encode_app($i, $i, 
0.00/0.22	                 app_encode_app($i, app_encode_fun($i, $i), kpair, X0), X3)), 
0.00/0.22	             app_encode_app($i, $i, 
0.00/0.22	               app_encode_app($i, app_encode_fun($i, $i), cartprod, X1), X2))
0.00/0.22	       | ~ app_encode_app($i, $o, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.22	               app_encode_app($i, $i, 
0.00/0.22	                 app_encode_app($i, app_encode_fun($i, $i), kpair, X0), X3)), 
0.00/0.22	             app_encode_app($i, $i, 
0.00/0.22	               app_encode_app($i, app_encode_fun($i, $i), cartprod, X1), X2))),
0.00/0.22	    inference('sup+', [status(thm)], ['10', '13'])).
0.00/0.22	tff('15', plain,
0.00/0.22	    ![X0, X1, X2, X3]:
0.00/0.22	      (~ app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, 
0.00/0.22	             app_encode_app($i, $i, 
0.00/0.22	               app_encode_app($i, app_encode_fun($i, $i), kpair, X0), X3)), 
0.00/0.22	           app_encode_app($i, $i, 
0.00/0.22	             app_encode_app($i, app_encode_fun($i, $i), cartprod, X1), X2))
0.00/0.22	       | app_encode_app($i, $o, 
0.00/0.22	           app_encode_app($i, app_encode_fun($i, $o), in, X0), X1)),
0.00/0.22	    inference('simplify', [status(thm)], ['14'])).
0.00/0.22	tff('16', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | app_encode_app($i, $o, 
0.00/0.22	         app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx2), sk_A1)),
0.00/0.22	    inference('sup-', [status(thm)], ['0', '15'])).
0.00/0.22	tff('17', plain,
0.00/0.22	    app_encode_app($i, $o, 
0.00/0.22	      app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx2), sk_A1),
0.00/0.22	    inference('simplify', [status(thm)], ['16'])).
0.00/0.22	tff('18', plain,
0.00/0.22	    ~ app_encode_app($i, $o, 
0.00/0.22	        app_encode_app($i, app_encode_fun($i, $o), in, sk_Xx2), sk_A1),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('19', plain, ~ $true, inference('sup-', [status(thm)], ['17', '18'])).
0.00/0.22	tff('20', plain, $false, inference('simplify', [status(thm)], ['19'])).
0.00/0.22	
0.00/0.22	% SZS output end Refutation
0.00/0.22	EOF
