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    : purification_ext
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-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 $2  \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --ho-purify ext \
0.00/0.01	  --ho-ext-axiom \
0.00/0.01	  --restrict-hidden-sup-at-vars \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n099.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 17:13:11 CST 2018
0.00/0.27	% done 105 iterations in 0.066s
0.00/0.27	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.00/0.27	% SZS output start Refutation
0.00/0.27	tff(symdiffE, axiom,
0.00/0.27	  (symdiffE <=>
0.00/0.27	   (![A,B,Xx]:
0.00/0.27	      (in(Xx,symdiff(A,B)) =>
0.00/0.27	       (![Xphi:$o]:
0.00/0.27	          ((in(Xx,A) => ((~in(Xx,B)) => Xphi)) =>
0.00/0.27	           (((~in(Xx,A)) => (in(Xx,B) => Xphi)) => Xphi))))))).
0.00/0.27	tff(zf_stmt_0, axiom, (zip_tseitin2(Xphi,Xx,B) <=> (in(Xx,B) => Xphi))).
0.00/0.27	tff('0', plain, ![X0, X1, X2 : $o]: (zip_tseitin2(X2, X0, X1) | in(X0, X1)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.27	tff(symdiffIneg2, conjecture,
0.00/0.27	  (symdiffE =>
0.00/0.27	   (![A,B,Xx]: ((~in(Xx,A)) => ((~in(Xx,B)) => (~in(Xx,symdiff(A,B)))))))).
0.00/0.27	tff(zf_stmt_1, negated_conjecture,
0.00/0.27	  (~
0.00/0.27	    (symdiffE =>
0.00/0.27	     (![A,B,Xx]: ((~in(Xx,A)) => ((~in(Xx,B)) => (~in(Xx,symdiff(A,B))))))))).
0.00/0.27	tff('1', plain, in(sk_Xx1, symdiff(sk_A1, sk_B1)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.27	tff(zf_stmt_2, axiom,
0.00/0.27	  (zip_tseitin1(Xphi,Xx,B,A) <=> (in(Xx,A) => zip_tseitin0(Xphi,Xx,B)))).
0.00/0.27	tff('2', plain,
0.00/0.27	    ![X0, X1, X2 : $o, X3]: (zip_tseitin1(X2, X0, X1, X3) | in(X0, X3)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.00/0.27	tff(zf_stmt_3, axiom,
0.00/0.27	  (zip_tseitin3(Xphi,Xx,B,A) <=> ((~in(Xx,A)) => zip_tseitin2(Xphi,Xx,B)))).
0.00/0.27	tff('3', plain,
0.00/0.27	    ![X0, X1, X2 : $o, X3]:
0.00/0.27	      (zip_tseitin3(X2, X0, X1, X3) | ~ zip_tseitin2(X2, X0, X1)),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.00/0.27	tff(zf_stmt_4, type, zip_tseitin3 : ($o * $i * $i * $i) > $o).
0.00/0.27	tff(zf_stmt_5, type, zip_tseitin2 : ($o * $i * $i) > $o).
0.00/0.27	tff(zf_stmt_6, type, zip_tseitin1 : ($o * $i * $i * $i) > $o).
0.00/0.27	tff(zf_stmt_7, type, zip_tseitin0 : ($o * $i * $i) > $o).
0.00/0.27	tff(zf_stmt_8, axiom, (zip_tseitin0(Xphi,Xx,B) <=> ((~in(Xx,B)) => Xphi))).
0.00/0.27	tff(zf_stmt_9, axiom,
0.00/0.27	  (symdiffE <=>
0.00/0.27	   (![A,B,Xx]:
0.00/0.27	      (in(Xx,symdiff(A,B)) =>
0.00/0.27	       (![Xphi:$o]:
0.00/0.27	          (zip_tseitin1(Xphi,Xx,B,A) => (zip_tseitin3(Xphi,Xx,B,A) => Xphi))))))).
0.00/0.27	tff('4', plain,
0.00/0.27	    ![X4, X5, X6, X7 : $o]:
0.00/0.27	      (~ in(X4, symdiff(X5, X6))
0.00/0.27	       | ~ zip_tseitin3(X7, X4, X6, X5)
0.00/0.27	       | X7
0.00/0.27	       | ~ zip_tseitin1(X7, X4, X6, X5)
0.00/0.27	       | ~ symdiffE),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_9])).
0.00/0.27	tff('5', plain, symdiffE, inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.27	tff('6', plain,
0.00/0.27	    ![X4, X5, X6, X7 : $o]:
0.00/0.27	      (~ in(X4, symdiff(X5, X6))
0.00/0.27	       | ~ zip_tseitin3(X7, X4, X6, X5)
0.00/0.27	       | X7
0.00/0.27	       | ~ zip_tseitin1(X7, X4, X6, X5)
0.00/0.27	       | ~ $true),
0.00/0.27	    inference('demod', [status(thm)], ['4', '5'])).
0.00/0.27	tff('7', plain,
0.00/0.27	    ![X4, X5, X6, X7 : $o]:
0.00/0.27	      (~ zip_tseitin1(X7, X4, X6, X5)
0.00/0.27	       | X7
0.00/0.27	       | ~ zip_tseitin3(X7, X4, X6, X5)
0.00/0.27	       | ~ in(X4, symdiff(X5, X6))),
0.00/0.27	    inference('simplify', [status(thm)], ['6'])).
0.00/0.27	tff('8', plain,
0.00/0.27	    ![X0, X1, X2, X3 : $o]:
0.00/0.27	      (~ $true
0.00/0.27	       | ~ zip_tseitin2(X3, X2, X1)
0.00/0.27	       | ~ in(X2, symdiff(X0, X1))
0.00/0.27	       | X3
0.00/0.27	       | ~ zip_tseitin1(X3, X2, X1, X0)),
0.00/0.27	    inference('sup-', [status(thm)], ['3', '7'])).
0.00/0.27	tff('9', plain,
0.00/0.27	    ![X0, X1, X2, X3 : $o]:
0.00/0.27	      (~ zip_tseitin1(X3, X2, X1, X0)
0.00/0.27	       | X3
0.00/0.27	       | ~ in(X2, symdiff(X0, X1))
0.00/0.27	       | ~ zip_tseitin2(X3, X2, X1)),
0.00/0.27	    inference('simplify', [status(thm)], ['8'])).
0.00/0.27	tff('10', plain,
0.00/0.27	    ![X0, X1, X2, X3 : $o]:
0.00/0.27	      (~ $true
0.00/0.27	       | in(X2, X0)
0.00/0.27	       | ~ zip_tseitin2(X3, X2, X1)
0.00/0.27	       | ~ in(X2, symdiff(X0, X1))
0.00/0.27	       | X3),
0.00/0.27	    inference('sup-', [status(thm)], ['2', '9'])).
0.00/0.27	tff('11', plain,
0.00/0.27	    ![X0, X1, X2, X3 : $o]:
0.00/0.27	      (X3
0.00/0.27	       | ~ in(X2, symdiff(X0, X1))
0.00/0.27	       | ~ zip_tseitin2(X3, X2, X1)
0.00/0.27	       | in(X2, X0)),
0.00/0.27	    inference('simplify', [status(thm)], ['10'])).
0.00/0.27	tff('12', plain,
0.00/0.27	    ![X0 : $o]:
0.00/0.27	      (~ $true | in(sk_Xx1, sk_A1) | ~ zip_tseitin2(X0, sk_Xx1, sk_B1) | X0),
0.00/0.27	    inference('sup-', [status(thm)], ['1', '11'])).
0.00/0.27	tff('13', plain,
0.00/0.27	    ![X0 : $o]: (X0 | ~ zip_tseitin2(X0, sk_Xx1, sk_B1) | in(sk_Xx1, sk_A1)),
0.00/0.27	    inference('simplify', [status(thm)], ['12'])).
0.00/0.27	tff('14', plain, ~ in(sk_Xx1, sk_A1),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.27	tff('15', plain, ![X0 : $o]: (~ zip_tseitin2(X0, sk_Xx1, sk_B1) | X0),
0.00/0.27	    inference('clc', [status(thm)], ['13', '14'])).
0.00/0.27	tff('16', plain, ![X0 : $o]: (~ $true | in(sk_Xx1, sk_B1) | X0),
0.00/0.27	    inference('sup-', [status(thm)], ['0', '15'])).
0.00/0.27	tff('17', plain, ![X0 : $o]: (X0 | in(sk_Xx1, sk_B1)),
0.00/0.27	    inference('simplify', [status(thm)], ['16'])).
0.00/0.27	tff('18', plain, in(sk_Xx1, sk_B1),
0.00/0.27	    inference('condensation', [status(thm)], ['17'])).
0.00/0.27	tff('19', plain, ~ in(sk_Xx1, sk_B1),
0.00/0.27	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.00/0.27	tff('20', plain, ~ $true, inference('sup-', [status(thm)], ['18', '19'])).
0.00/0.27	tff('21', plain, $false, inference('simplify', [status(thm)], ['20'])).
0.00/0.27	
0.00/0.27	% SZS output end Refutation
0.00/0.27	EOF
