0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : supatvars_int
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-avatar \
0.00/0.01	  --ho \
0.00/0.01	  --force-ho \
0.00/0.01	  --no-ho-elim-pred-var \
0.00/0.01	  --ho-general-ext-pos \
0.00/0.01	  --no-ho-unif \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2  \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --sup-at-vars \
0.00/0.01	  --ho-no-ext-pos \
0.00/0.01	  --ho-no-ext-neg \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n133.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:15:25 CST 2018
0.00/0.21	% done 29 iterations in 0.007s
0.00/0.21	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.21	% SZS output start Refutation
0.00/0.21	tff(iffalse, axiom,
0.00/0.21	  (iffalse <=>
0.00/0.21	   (![A,Xphi:$o,Xx]:
0.00/0.21	      (in(Xx,A) =>
0.00/0.21	       (![Xy]: (in(Xy,A) => ((~Xphi) => (if(A,Xphi,Xx,Xy) = Xy)))))))).
0.00/0.21	tff('0', plain,
0.00/0.21	    ![X12, X13, X14 : $o, X15]:
0.00/0.21	      (~ in(X12, X13)
0.00/0.21	       | X14
0.00/0.21	       | if(X13, X14, X12, X15) = X15
0.00/0.21	       | ~ in(X15, X13)
0.00/0.21	       | ~ iffalse),
0.00/0.21	    inference('cnf', [status(esa)], [iffalse])).
0.00/0.21	tff(iftrueorfalse, conjecture,
0.00/0.21	  (setadjoinIL =>
0.00/0.21	   (in__Cong =>
0.00/0.21	    (secondinupair =>
0.00/0.21	     (iftrue =>
0.00/0.21	      (iffalse =>
0.00/0.21	       (![A,Xphi:$o,Xx]:
0.00/0.21	          (in(Xx,A) =>
0.00/0.21	           (![Xy]:
0.00/0.21	              (in(Xy,A) =>
0.00/0.21	               in(if(A,Xphi,Xx,Xy),setadjoin(Xx,setadjoin(Xy,emptyset))))))))))))).
0.00/0.21	tff(zf_stmt_0, negated_conjecture,
0.00/0.21	  (~
0.00/0.21	    (setadjoinIL =>
0.00/0.21	     (in__Cong =>
0.00/0.21	      (secondinupair =>
0.00/0.21	       (iftrue =>
0.00/0.21	        (iffalse =>
0.00/0.21	         (![A,Xphi:$o,Xx]:
0.00/0.21	            (in(Xx,A) =>
0.00/0.21	             (![Xy]:
0.00/0.21	                (in(Xy,A) =>
0.00/0.21	                 in(if(A,Xphi,Xx,Xy),setadjoin(Xx,setadjoin(Xy,emptyset)))))))))))))).
0.00/0.21	tff('1', plain, iffalse, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('2', plain,
0.00/0.21	    ![X12, X13, X14 : $o, X15]:
0.00/0.21	      (~ in(X12, X13)
0.00/0.21	       | X14
0.00/0.21	       | if(X13, X14, X12, X15) = X15
0.00/0.21	       | ~ in(X15, X13)
0.00/0.21	       | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['0', '1'])).
0.00/0.21	tff('3', plain,
0.00/0.21	    ![X12, X13, X14 : $o, X15]:
0.00/0.21	      (~ in(X15, X13) | if(X13, X14, X12, X15) = X15 | X14 | ~ in(X12, X13)),
0.00/0.21	    inference('simplify', [status(thm)], ['2'])).
0.00/0.21	tff('4', plain,
0.00/0.21	    ~ in(if(sk_A3, sk_Xphi2, sk_Xx5, sk_Xy5), 
0.00/0.21	        setadjoin(sk_Xx5, setadjoin(sk_Xy5, emptyset))),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('5', plain,
0.00/0.21	    (~ in(sk_Xy5, setadjoin(sk_Xx5, setadjoin(sk_Xy5, emptyset)))
0.00/0.21	     | ~ in(sk_Xx5, sk_A3)
0.00/0.21	     | sk_Xphi2
0.00/0.21	     | ~ in(sk_Xy5, sk_A3)),
0.00/0.21	    inference('sup-', [status(thm)], ['3', '4'])).
0.00/0.21	tff(secondinupair, axiom,
0.00/0.21	  (secondinupair <=> (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset)))))).
0.00/0.21	tff('6', plain,
0.00/0.21	    ![X6, X7]:
0.00/0.21	      (in(X6, setadjoin(X7, setadjoin(X6, emptyset))) | ~ secondinupair),
0.00/0.21	    inference('cnf', [status(esa)], [secondinupair])).
0.00/0.21	tff('7', plain, secondinupair, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('8', plain,
0.00/0.21	    ![X6, X7]: (in(X6, setadjoin(X7, setadjoin(X6, emptyset))) | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['6', '7'])).
0.00/0.21	tff('9', plain, ![X6, X7]: in(X6, setadjoin(X7, setadjoin(X6, emptyset))),
0.00/0.21	    inference('simplify', [status(thm)], ['8'])).
0.00/0.21	tff('10', plain, in(sk_Xx5, sk_A3),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('11', plain, in(sk_Xy5, sk_A3),
0.00/0.21	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('12', plain, (~ $true | ~ $true | sk_Xphi2 | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['5', '9', '10', '11'])).
0.00/0.21	tff('13', plain, sk_Xphi2, inference('simplify', [status(thm)], ['12'])).
0.00/0.21	tff(iftrue, axiom,
0.00/0.21	  (iftrue <=>
0.00/0.21	   (![A,Xphi:$o,Xx]:
0.00/0.21	      (in(Xx,A) => (![Xy]: (in(Xy,A) => (Xphi => (if(A,Xphi,Xx,Xy) = Xx)))))))).
0.00/0.21	tff('14', plain,
0.00/0.21	    ![X8, X9, X10 : $o, X11]:
0.00/0.21	      (~ in(X8, X9)
0.00/0.21	       | ~ X10
0.00/0.21	       | if(X9, X10, X8, X11) = X8
0.00/0.21	       | ~ in(X11, X9)
0.00/0.21	       | ~ iftrue),
0.00/0.21	    inference('cnf', [status(esa)], [iftrue])).
0.00/0.21	tff('15', plain, iftrue, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('16', plain,
0.00/0.21	    ![X8, X9, X10 : $o, X11]:
0.00/0.21	      (~ in(X8, X9)
0.00/0.21	       | ~ X10
0.00/0.21	       | if(X9, X10, X8, X11) = X8
0.00/0.21	       | ~ in(X11, X9)
0.00/0.21	       | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['14', '15'])).
0.00/0.21	tff('17', plain,
0.00/0.21	    ![X8, X9, X10 : $o, X11]:
0.00/0.21	      (~ in(X11, X9) | if(X9, X10, X8, X11) = X8 | ~ X10 | ~ in(X8, X9)),
0.00/0.21	    inference('simplify', [status(thm)], ['16'])).
0.00/0.21	tff('18', plain,
0.00/0.21	    (~ in(sk_Xx5, setadjoin(sk_Xx5, setadjoin(sk_Xy5, emptyset)))
0.00/0.21	     | ~ in(sk_Xx5, sk_A3)
0.00/0.21	     | ~ sk_Xphi2
0.00/0.21	     | ~ in(sk_Xy5, sk_A3)),
0.00/0.21	    inference('sup-', [status(thm)], ['17', '4'])).
0.00/0.21	tff(setadjoinIL, axiom,
0.00/0.21	  (setadjoinIL <=> (![Xx,Xy]: in(Xx,setadjoin(Xx,Xy))))).
0.00/0.21	tff('19', plain, ![X0, X1]: (in(X0, setadjoin(X0, X1)) | ~ setadjoinIL),
0.00/0.21	    inference('cnf', [status(esa)], [setadjoinIL])).
0.00/0.21	tff('20', plain, setadjoinIL, inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.21	tff('21', plain, ![X0, X1]: (in(X0, setadjoin(X0, X1)) | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['19', '20'])).
0.00/0.21	tff('22', plain, ![X0, X1]: in(X0, setadjoin(X0, X1)),
0.00/0.21	    inference('simplify', [status(thm)], ['21'])).
0.00/0.21	tff('23', plain, (~ $true | ~ $true | ~ sk_Xphi2 | ~ $true),
0.00/0.21	    inference('demod', [status(thm)], ['18', '22', '10', '11'])).
0.00/0.21	tff('24', plain, ~ sk_Xphi2, inference('simplify', [status(thm)], ['23'])).
0.00/0.21	tff('25', plain, ~ $true, inference('sup-', [status(thm)], ['13', '24'])).
0.00/0.21	tff('26', plain, $false, inference('simplify', [status(thm)], ['25'])).
0.00/0.21	
0.00/0.21	% SZS output end Refutation
0.00/0.22	EOF
