0.00/0.01	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
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   : n122.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
0.00/0.21	% CPULimit   : 300
0.00/0.21	% DateTime   : Fri Feb  2 17:14:25 CST 2018
0.00/0.22	% done 21 iterations in 0.006s
0.00/0.22	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.22	% SZS output start Refutation
0.00/0.22	tff(setukpairinjL1, conjecture,
0.00/0.22	  (setadjoinIL =>
0.00/0.22	   (uniqinunit =>
0.00/0.22	    (upairset2E =>
0.00/0.22	     (singletonsuniq =>
0.00/0.22	      (![Xx,Xy,Xz]:
0.00/0.22	         (in(setadjoin(Xz,emptyset),
0.00/0.22	             setadjoin(setadjoin(Xx,emptyset),
0.00/0.22	                       setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),
0.00/0.22	                                 emptyset))) =>
0.00/0.22	          (Xx = Xz)))))))).
0.00/0.22	tff(zf_stmt_0, negated_conjecture,
0.00/0.22	  (~
0.00/0.22	    (setadjoinIL =>
0.00/0.22	     (uniqinunit =>
0.00/0.22	      (upairset2E =>
0.00/0.22	       (singletonsuniq =>
0.00/0.22	        (![Xx,Xy,Xz]:
0.00/0.22	           (in(setadjoin(Xz,emptyset),
0.00/0.22	               setadjoin(setadjoin(Xx,emptyset),
0.00/0.22	                         setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),
0.00/0.22	                                   emptyset))) =>
0.00/0.22	            (Xx = Xz))))))))).
0.00/0.22	tff('0', plain,
0.00/0.22	    in(setadjoin(sk_Xz1, emptyset), 
0.00/0.22	      setadjoin(setadjoin(sk_Xx4, emptyset), 
0.00/0.22	        setadjoin(setadjoin(sk_Xx4, setadjoin(sk_Xy4, emptyset)), emptyset))),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff(upairset2E, axiom,
0.00/0.22	  (upairset2E <=>
0.00/0.22	   (![Xx,Xy,Xz]:
0.00/0.22	      (in(Xz,setadjoin(Xx,setadjoin(Xy,emptyset))) => ((Xz = Xy) | (Xz = Xx)))))).
0.00/0.22	tff('1', plain,
0.00/0.22	    ![X4, X5, X6]:
0.00/0.22	      (~ in(X4, setadjoin(X5, setadjoin(X6, emptyset)))
0.00/0.22	       | X4 = X6
0.00/0.22	       | X4 = X5
0.00/0.22	       | ~ upairset2E),
0.00/0.22	    inference('cnf', [status(esa)], [upairset2E])).
0.00/0.22	tff('2', plain, upairset2E, 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	      (~ in(X4, setadjoin(X5, setadjoin(X6, emptyset)))
0.00/0.22	       | X4 = X6
0.00/0.22	       | X4 = 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 = X5 | X4 = X6 | ~ in(X4, setadjoin(X5, setadjoin(X6, emptyset)))),
0.00/0.22	    inference('simplify', [status(thm)], ['3'])).
0.00/0.22	tff('5', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | setadjoin(sk_Xz1, emptyset)
0.00/0.22	        = setadjoin(sk_Xx4, setadjoin(sk_Xy4, emptyset))
0.00/0.22	     | setadjoin(sk_Xz1, emptyset) = setadjoin(sk_Xx4, emptyset)),
0.00/0.22	    inference('sup-', [status(thm)], ['0', '4'])).
0.00/0.22	tff('6', plain,
0.00/0.22	    (setadjoin(sk_Xz1, emptyset) = setadjoin(sk_Xx4, emptyset)
0.00/0.22	     | setadjoin(sk_Xz1, emptyset)
0.00/0.22	        = setadjoin(sk_Xx4, setadjoin(sk_Xy4, emptyset))),
0.00/0.22	    inference('simplify', [status(thm)], ['5'])).
0.00/0.22	tff(setadjoinIL, axiom,
0.00/0.22	  (setadjoinIL <=> (![Xx,Xy]: in(Xx,setadjoin(Xx,Xy))))).
0.00/0.22	tff('7', plain, ![X0, X1]: (in(X0, setadjoin(X0, X1)) | ~ setadjoinIL),
0.00/0.22	    inference('cnf', [status(esa)], [setadjoinIL])).
0.00/0.22	tff('8', plain, setadjoinIL, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('9', plain, ![X0, X1]: (in(X0, setadjoin(X0, X1)) | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['7', '8'])).
0.00/0.22	tff('10', plain, ![X0, X1]: in(X0, setadjoin(X0, X1)),
0.00/0.22	    inference('simplify', [status(thm)], ['9'])).
0.00/0.22	tff('11', plain,
0.00/0.22	    (in(sk_Xx4, setadjoin(sk_Xz1, emptyset))
0.00/0.22	     | setadjoin(sk_Xz1, emptyset) = setadjoin(sk_Xx4, emptyset)),
0.00/0.22	    inference('sup+', [status(thm)], ['6', '10'])).
0.00/0.22	tff(uniqinunit, axiom,
0.00/0.22	  (uniqinunit <=> (![Xx,Xy]: (in(Xx,setadjoin(Xy,emptyset)) => (Xx = Xy))))).
0.00/0.22	tff('12', plain,
0.00/0.22	    ![X2, X3]: (~ in(X2, setadjoin(X3, emptyset)) | X2 = X3 | ~ uniqinunit),
0.00/0.22	    inference('cnf', [status(esa)], [uniqinunit])).
0.00/0.22	tff('13', plain, uniqinunit, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('14', plain,
0.00/0.22	    ![X2, X3]: (~ in(X2, setadjoin(X3, emptyset)) | X2 = X3 | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['12', '13'])).
0.00/0.22	tff('15', plain, ![X2, X3]: (X2 = X3 | ~ in(X2, setadjoin(X3, emptyset))),
0.00/0.22	    inference('simplify', [status(thm)], ['14'])).
0.00/0.22	tff('16', plain, setadjoin(sk_Xz1, emptyset) = setadjoin(sk_Xx4, emptyset),
0.00/0.22	    inference('clc', [status(thm)], ['11', '15'])).
0.00/0.22	tff('17', plain, in(sk_Xz1, setadjoin(sk_Xx4, emptyset)),
0.00/0.22	    inference('sup+', [status(thm)], ['16', '10'])).
0.00/0.22	tff('18', plain, (~ $true | sk_Xz1 = sk_Xx4),
0.00/0.22	    inference('sup-', [status(thm)], ['17', '15'])).
0.00/0.22	tff('19', plain, sk_Xz1 = sk_Xx4,
0.00/0.22	    inference('simplify', [status(thm)], ['18'])).
0.00/0.22	tff('20', plain, sk_Xx4 != sk_Xz1,
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('21', plain, $false,
0.00/0.22	    inference('simplify_reflect-', [status(thm)], ['19', '20'])).
0.00/0.22	
0.00/0.22	% SZS output end Refutation
0.00/0.22	EOF
