0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : supatvars_int
0.00/0.00	% Ordering    : rpo6
0.00/0.00	% 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
0.00/0.19	% Computer   : n064.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 17:19:54 CST 2018
0.35/0.54	% done 600 iterations in 0.340s
0.35/0.54	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.35/0.54	% SZS output start Refutation
0.36/0.54	tff(cGAZING_THM36_pme, conjecture,
0.36/0.54	  (![S:(a > $o),T:(a > $o),U:(a > $o)]:
0.36/0.54	     (((![Xx:a]: (S(Xx) => U(Xx))) & (![Xx:a]: (T(Xx) => U(Xx)))) =>
0.36/0.54	      ((![Xx:a]: (S(Xx) => T(Xx))) <=>
0.36/0.54	       (![Xx:a]: ((S(Xx) & U(Xx) & (~T(Xx))) => T(Xx))))))).
0.36/0.54	tff(zf_stmt_0, axiom,
0.36/0.54	  (zip_tseitin2(Xx,U,T,S) <=> (zip_tseitin1(Xx,U,T,S) => T(Xx)))).
0.36/0.54	tff('0', plain,
0.36/0.54	    ![X0 : a > $o, X2 : a > $o, X3 : a, X4 : a > $o]:
0.36/0.54	      (zip_tseitin2(X3, X4, X2, X0) | zip_tseitin1(X3, X4, X2, X0)),
0.36/0.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.54	tff(zf_stmt_1, axiom, (zip_tseitin0(Xx,T,S) <=> (S(Xx) => T(Xx)))).
0.36/0.54	tff('1', plain,
0.36/0.54	    ![X0 : a > $o, X1 : a, X2 : a > $o]: (zip_tseitin0(X1, X2, X0) | X0(X1)),
0.36/0.54	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.36/0.54	tff(zf_stmt_2, type, zip_tseitin2 : (a * a > $o * a > $o * a > $o) > $o).
0.36/0.54	tff(zf_stmt_3, type, zip_tseitin1 : (a * a > $o * a > $o * a > $o) > $o).
0.36/0.54	tff(zf_stmt_4, axiom,
0.36/0.54	  (zip_tseitin1(Xx,U,T,S) <=> ((~T(Xx)) & U(Xx) & S(Xx)))).
0.36/0.54	tff(zf_stmt_5, type, zip_tseitin0 : (a * a > $o * a > $o) > $o).
0.36/0.54	tff(zf_stmt_6, conjecture,
0.36/0.54	  (![S:(a > $o),T:(a > $o),U:(a > $o)]:
0.36/0.54	     (((![Xx:a]: (T(Xx) => U(Xx))) & (![Xx:a]: (S(Xx) => U(Xx)))) =>
0.36/0.54	      ((![Xx:a]: zip_tseitin0(Xx,T,S)) <=> (![Xx:a]: zip_tseitin2(Xx,U,T,S)))))).
0.36/0.54	tff(zf_stmt_7, negated_conjecture,
0.36/0.54	  (~
0.36/0.54	    (![S:(a > $o),T:(a > $o),U:(a > $o)]:
0.36/0.54	       (((![Xx:a]: (T(Xx) => U(Xx))) & (![Xx:a]: (S(Xx) => U(Xx)))) =>
0.36/0.54	        ((![Xx:a]: zip_tseitin0(Xx,T,S)) <=>
0.36/0.54	         (![Xx:a]: zip_tseitin2(Xx,U,T,S))))))).
0.36/0.54	tff('2', plain,
0.36/0.54	    (~ zip_tseitin2(sk_Xx, sk_U, sk_T, sk_S)
0.36/0.54	     | ~ zip_tseitin0(sk_Xx1, sk_T, sk_S)),
0.36/0.54	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.36/0.54	tff('3', plain,
0.36/0.54	    (~ $true | sk_S(sk_Xx1) | ~ zip_tseitin2(sk_Xx, sk_U, sk_T, sk_S)),
0.36/0.54	    inference('sup-', [status(thm)], ['1', '2'])).
0.36/0.54	tff('4', plain, (~ zip_tseitin2(sk_Xx, sk_U, sk_T, sk_S) | sk_S(sk_Xx1)),
0.36/0.54	    inference('simplify', [status(thm)], ['3'])).
0.36/0.54	tff('5', plain, ![X6 : a]: (sk_U(X6) | ~ sk_S(X6)),
0.36/0.54	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.36/0.54	tff('6', plain,
0.36/0.54	    ![X0 : a > $o, X2 : a > $o, X3 : a, X4 : a > $o]:
0.36/0.54	      (zip_tseitin1(X3, X4, X2, X0) | ~ X0(X3) | ~ X4(X3) | X2(X3)),
0.36/0.54	    inference('cnf', [status(esa)], [zf_stmt_4])).
0.36/0.54	tff('7', plain,
0.36/0.54	    ![X0 : a, X1 : a > $o, X2 : a > $o]:
0.36/0.54	      (~ $true
0.36/0.54	       | ~ sk_S(X0)
0.36/0.54	       | X1(X0)
0.36/0.54	       | ~ X2(X0)
0.36/0.54	       | zip_tseitin1(X0, X2, X1, sk_U)),
0.36/0.54	    inference('sup-', [status(thm)], ['5', '6'])).
0.36/0.54	tff('8', plain,
0.36/0.54	    ![X0 : a, X1 : a > $o, X2 : a > $o]:
0.36/0.54	      (zip_tseitin1(X0, X2, X1, sk_U) | ~ X2(X0) | X1(X0) | ~ sk_S(X0)),
0.36/0.54	    inference('simplify', [status(thm)], ['7'])).
0.36/0.54	tff('9', plain,
0.36/0.54	    ![X0 : a, X1 : a > $o]:
0.36/0.54	      (~ $true
0.36/0.54	       | ~ sk_S(X0)
0.36/0.54	       | ~ sk_S(X0)
0.36/0.54	       | X1(X0)
0.36/0.54	       | zip_tseitin1(X0, sk_U, X1, sk_U)),
0.36/0.54	    inference('sup-', [status(thm)], ['5', '8'])).
0.36/0.54	tff('10', plain,
0.36/0.54	    ![X0 : a, X1 : a > $o]:
0.36/0.54	      (zip_tseitin1(X0, sk_U, X1, sk_U) | X1(X0) | ~ sk_S(X0)),
0.36/0.54	    inference('simplify', [status(thm)], ['9'])).
0.36/0.54	tff('11', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (~ $true
0.36/0.54	       | ~ zip_tseitin2(sk_Xx, sk_U, sk_T, sk_S)
0.36/0.54	       | X0(sk_Xx1)
0.36/0.54	       | zip_tseitin1(sk_Xx1, sk_U, X0, sk_U)),
0.36/0.54	    inference('sup-', [status(thm)], ['4', '10'])).
0.36/0.54	tff('12', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (zip_tseitin1(sk_Xx1, sk_U, X0, sk_U)
0.36/0.54	       | X0(sk_Xx1)
0.36/0.54	       | ~ zip_tseitin2(sk_Xx, sk_U, sk_T, sk_S)),
0.36/0.54	    inference('simplify', [status(thm)], ['11'])).
0.36/0.54	tff('13', plain,
0.36/0.54	    ![X0 : a > $o, X2 : a > $o, X3 : a, X4 : a > $o]:
0.36/0.54	      (X4(X3) | ~ zip_tseitin1(X3, X4, X2, X0)),
0.36/0.54	    inference('cnf', [status(esa)], [zf_stmt_4])).
0.36/0.54	tff('14', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (~ $true
0.36/0.54	       | ~ zip_tseitin2(sk_Xx, sk_U, sk_T, sk_S)
0.36/0.54	       | X0(sk_Xx1)
0.36/0.54	       | sk_U(sk_Xx1)),
0.36/0.54	    inference('sup-', [status(thm)], ['12', '13'])).
0.36/0.54	tff('15', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (sk_U(sk_Xx1) | X0(sk_Xx1) | ~ zip_tseitin2(sk_Xx, sk_U, sk_T, sk_S)),
0.36/0.54	    inference('simplify', [status(thm)], ['14'])).
0.36/0.54	tff('16', plain, (sk_U(sk_Xx1) | ~ zip_tseitin2(sk_Xx, sk_U, sk_T, sk_S)),
0.36/0.54	    inference('condensation', [status(thm)], ['15'])).
0.36/0.54	tff('17', plain,
0.36/0.54	    ![X0 : a > $o, X1 : a > $o]:
0.36/0.54	      (~ $true
0.36/0.54	       | ~ zip_tseitin2(sk_Xx, sk_U, sk_T, sk_S)
0.36/0.54	       | X0(sk_Xx1)
0.36/0.54	       | ~ X1(sk_Xx1)
0.36/0.54	       | zip_tseitin1(sk_Xx1, X1, X0, sk_S)),
0.36/0.54	    inference('sup-', [status(thm)], ['4', '6'])).
0.36/0.54	tff('18', plain,
0.36/0.54	    ![X0 : a > $o, X1 : a > $o]:
0.36/0.54	      (zip_tseitin1(sk_Xx1, X1, X0, sk_S)
0.36/0.54	       | ~ X1(sk_Xx1)
0.36/0.54	       | X0(sk_Xx1)
0.36/0.54	       | ~ zip_tseitin2(sk_Xx, sk_U, sk_T, sk_S)),
0.36/0.54	    inference('simplify', [status(thm)], ['17'])).
0.36/0.54	tff('19', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (~ $true
0.36/0.54	       | ~ zip_tseitin2(sk_Xx, sk_U, sk_T, sk_S)
0.36/0.54	       | ~ zip_tseitin2(sk_Xx, sk_U, sk_T, sk_S)
0.36/0.54	       | X0(sk_Xx1)
0.36/0.54	       | zip_tseitin1(sk_Xx1, sk_U, X0, sk_S)),
0.36/0.54	    inference('sup-', [status(thm)], ['16', '18'])).
0.36/0.54	tff('20', plain,
0.36/0.54	    ![X0 : a > $o]:
0.36/0.54	      (zip_tseitin1(sk_Xx1, sk_U, X0, sk_S)
0.36/0.54	       | X0(sk_Xx1)
0.36/0.54	       | ~ zip_tseitin2(sk_Xx, sk_U, sk_T, sk_S)),
0.36/0.54	    inference('simplify', [status(thm)], ['19'])).
0.36/0.54	tff('21', plain,
0.36/0.54	    ![X0 : a > $o, X1 : a, X2 : a > $o]:
0.36/0.54	      (zip_tseitin0(X1, X2, X0) | ~ X2(X1)),
0.36/0.54	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.36/0.54	tff('22', plain,
0.36/0.54	    ![X0 : a > $o, X1 : a > $o]:
0.36/0.54	      (~ $true
0.36/0.54	       | ~ zip_tseitin2(sk_Xx, sk_U, sk_T, sk_S)
0.36/0.54	       | zip_tseitin1(sk_Xx1, sk_U, X0, sk_S)
0.36/0.54	       | zip_tseitin0(sk_Xx1, X0, X1)),
0.36/0.54	    inference('sup-', [status(thm)], ['20', '21'])).
0.36/0.54	tff('23', plain,
0.36/0.54	    ![X0 : a > $o, X1 : a > $o]:
0.36/0.54	      (zip_tseitin0(sk_Xx1, X0, X1)
0.36/0.54	       | zip_tseitin1(sk_Xx1, sk_U, X0, sk_S)
0.36/0.54	       | ~ zip_tseitin2(sk_Xx, sk_U, sk_T, sk_S)),
0.36/0.54	    inference('simplify', [status(thm)], ['22'])).
0.36/0.54	tff('24', plain,
0.36/0.54	    (~ $true
0.36/0.54	     | ~ zip_tseitin2(sk_Xx, sk_U, sk_T, sk_S)
0.36/0.54	     | zip_tseitin1(sk_Xx1, sk_U, sk_T, sk_S)
0.36/0.54	     | ~ zip_tseitin2(sk_Xx, sk_U, sk_T, sk_S)),
0.36/0.54	    inference('sup-', [status(thm)], ['23', '2'])).
0.36/0.54	tff('25', plain,
0.36/0.54	    (zip_tseitin1(sk_Xx1, sk_U, sk_T, sk_S)
0.36/0.54	     | ~ zip_tseitin2(sk_Xx, sk_U, sk_T, sk_S)),
0.36/0.54	    inference('simplify', [status(thm)], ['24'])).
0.36/0.54	tff('26', plain,
0.36/0.54	    ![X7 : a, X8 : a]:
0.36/0.54	      (zip_tseitin2(X7, sk_U, sk_T, sk_S) | zip_tseitin0(X8, sk_T, sk_S)),
0.36/0.54	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.36/0.54	tff('27', plain,
0.36/0.54	    ![X0 : a > $o, X2 : a > $o, X3 : a, X4 : a > $o]:
0.36/0.54	      (~ zip_tseitin1(X3, X4, X2, X0)
0.36/0.54	       | X2(X3)
0.36/0.54	       | ~ zip_tseitin2(X3, X4, X2, X0)),
0.36/0.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.54	tff('28', plain,
0.36/0.54	    ![X0 : a > $o, X2 : a > $o, X3 : a, X4 : a > $o]:
0.36/0.54	      (~ X2(X3) | ~ zip_tseitin1(X3, X4, X2, X0)),
0.36/0.54	    inference('cnf', [status(esa)], [zf_stmt_4])).
0.36/0.54	tff('29', plain,
0.36/0.54	    ![X0 : a > $o, X2 : a > $o, X3 : a, X4 : a > $o]:
0.36/0.54	      (~ zip_tseitin2(X3, X4, X2, X0) | ~ zip_tseitin1(X3, X4, X2, X0)),
0.36/0.54	    inference('clc', [status(thm)], ['27', '28'])).
0.36/0.54	tff('30', plain,
0.36/0.54	    ![X0 : a, X1 : a]:
0.36/0.54	      (~ $true
0.36/0.54	       | zip_tseitin0(X1, sk_T, sk_S)
0.36/0.54	       | ~ zip_tseitin1(X0, sk_U, sk_T, sk_S)),
0.36/0.54	    inference('sup-', [status(thm)], ['26', '29'])).
0.36/0.54	tff('31', plain,
0.36/0.54	    ![X0 : a, X1 : a]:
0.36/0.54	      (~ zip_tseitin1(X0, sk_U, sk_T, sk_S) | zip_tseitin0(X1, sk_T, sk_S)),
0.36/0.54	    inference('simplify', [status(thm)], ['30'])).
0.36/0.54	tff('32', plain,
0.36/0.54	    ![X0 : a]:
0.36/0.54	      (~ $true
0.36/0.54	       | ~ zip_tseitin2(sk_Xx, sk_U, sk_T, sk_S)
0.36/0.54	       | zip_tseitin0(X0, sk_T, sk_S)),
0.36/0.54	    inference('sup-', [status(thm)], ['25', '31'])).
0.36/0.54	tff('33', plain,
0.36/0.54	    ![X0 : a]:
0.36/0.54	      (zip_tseitin0(X0, sk_T, sk_S) | ~ zip_tseitin2(sk_Xx, sk_U, sk_T, sk_S)),
0.36/0.54	    inference('simplify', [status(thm)], ['32'])).
0.36/0.54	tff('34', plain, ![X0 : a]: zip_tseitin0(X0, sk_T, sk_S),
0.36/0.54	    inference('clc', [status(thm)], ['33', '26'])).
0.36/0.54	tff('35', plain, (~ $true | ~ zip_tseitin2(sk_Xx, sk_U, sk_T, sk_S)),
0.36/0.54	    inference('sup-', [status(thm)], ['34', '2'])).
0.36/0.54	tff('36', plain, ~ zip_tseitin2(sk_Xx, sk_U, sk_T, sk_S),
0.36/0.54	    inference('simplify', [status(thm)], ['35'])).
0.36/0.54	tff('37', plain, (~ $true | zip_tseitin1(sk_Xx, sk_U, sk_T, sk_S)),
0.36/0.54	    inference('sup-', [status(thm)], ['0', '36'])).
0.36/0.54	tff('38', plain, zip_tseitin1(sk_Xx, sk_U, sk_T, sk_S),
0.36/0.54	    inference('simplify', [status(thm)], ['37'])).
0.36/0.54	tff('39', plain,
0.36/0.54	    ![X0 : a > $o, X2 : a > $o, X3 : a, X4 : a > $o]:
0.36/0.54	      (X0(X3) | ~ zip_tseitin1(X3, X4, X2, X0)),
0.36/0.54	    inference('cnf', [status(esa)], [zf_stmt_4])).
0.36/0.54	tff('40', plain,
0.36/0.54	    ![X0 : a > $o, X1 : a, X2 : a > $o]:
0.36/0.54	      (~ X0(X1) | X2(X1) | ~ zip_tseitin0(X1, X2, X0)),
0.36/0.54	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.36/0.54	tff('41', plain,
0.36/0.54	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o, X4 : a > $o]:
0.36/0.54	      (~ $true
0.36/0.54	       | ~ zip_tseitin1(X1, X4, X3, X0)
0.36/0.54	       | ~ zip_tseitin0(X1, X2, X0)
0.36/0.54	       | X2(X1)),
0.36/0.54	    inference('sup-', [status(thm)], ['39', '40'])).
0.36/0.54	tff('42', plain,
0.36/0.54	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o, X4 : a > $o]:
0.36/0.54	      (X2(X1) | ~ zip_tseitin0(X1, X2, X0) | ~ zip_tseitin1(X1, X4, X3, X0)),
0.36/0.54	    inference('simplify', [status(thm)], ['41'])).
0.36/0.54	tff('43', plain,
0.36/0.54	    ![X0 : a, X1 : a > $o, X2 : a > $o]:
0.36/0.54	      (~ $true | ~ zip_tseitin1(X0, X2, X1, sk_S) | sk_T(X0)),
0.36/0.54	    inference('sup-', [status(thm)], ['34', '42'])).
0.36/0.54	tff('44', plain,
0.36/0.54	    ![X0 : a, X1 : a > $o, X2 : a > $o]:
0.36/0.54	      (sk_T(X0) | ~ zip_tseitin1(X0, X2, X1, sk_S)),
0.36/0.54	    inference('simplify', [status(thm)], ['43'])).
0.36/0.54	tff('45', plain, ![X5 : a]: (sk_U(X5) | ~ sk_T(X5)),
0.36/0.54	    inference('cnf', [status(esa)], [zf_stmt_7])).
0.36/0.54	tff('46', plain,
0.36/0.54	    ![X0 : a, X1 : a > $o]:
0.36/0.54	      (~ $true | ~ sk_T(X0) | ~ zip_tseitin0(X0, X1, sk_U) | X1(X0)),
0.36/0.54	    inference('sup-', [status(thm)], ['45', '40'])).
0.36/0.54	tff('47', plain,
0.36/0.54	    ![X0 : a, X1 : a > $o]:
0.36/0.54	      (X1(X0) | ~ zip_tseitin0(X0, X1, sk_U) | ~ sk_T(X0)),
0.36/0.54	    inference('simplify', [status(thm)], ['46'])).
0.36/0.54	tff('48', plain,
0.36/0.54	    ![X0 : a > $o, X2 : a > $o, X3 : a, X4 : a > $o]:
0.36/0.54	      (zip_tseitin2(X3, X4, X2, X0) | ~ X2(X3)),
0.36/0.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.36/0.54	tff('49', plain,
0.36/0.54	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o]:
0.36/0.54	      (~ $true
0.36/0.54	       | ~ sk_T(X1)
0.36/0.54	       | ~ zip_tseitin0(X1, X0, sk_U)
0.36/0.54	       | zip_tseitin2(X1, X3, X0, X2)),
0.36/0.54	    inference('sup-', [status(thm)], ['47', '48'])).
0.36/0.54	tff('50', plain,
0.36/0.54	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o]:
0.36/0.54	      (zip_tseitin2(X1, X3, X0, X2)
0.36/0.54	       | ~ zip_tseitin0(X1, X0, sk_U)
0.36/0.54	       | ~ sk_T(X1)),
0.36/0.54	    inference('simplify', [status(thm)], ['49'])).
0.36/0.54	tff('51', plain,
0.36/0.54	    (~ $true | ~ sk_T(sk_Xx) | ~ zip_tseitin0(sk_Xx, sk_T, sk_U)),
0.36/0.54	    inference('sup-', [status(thm)], ['50', '36'])).
0.36/0.54	tff('52', plain, (~ zip_tseitin0(sk_Xx, sk_T, sk_U) | ~ sk_T(sk_Xx)),
0.36/0.54	    inference('simplify', [status(thm)], ['51'])).
0.36/0.54	tff('53', plain, ~ sk_T(sk_Xx), inference('clc', [status(thm)], ['52', '21'])).
0.36/0.54	tff('54', plain,
0.36/0.54	    ![X0 : a > $o, X1 : a > $o]:
0.36/0.54	      (~ $true | ~ zip_tseitin1(sk_Xx, X1, X0, sk_S)),
0.36/0.54	    inference('sup-', [status(thm)], ['44', '53'])).
0.36/0.54	tff('55', plain,
0.36/0.54	    ![X0 : a > $o, X1 : a > $o]: ~ zip_tseitin1(sk_Xx, X1, X0, sk_S),
0.36/0.54	    inference('simplify', [status(thm)], ['54'])).
0.36/0.54	tff('56', plain, ~ $true, inference('sup-', [status(thm)], ['38', '55'])).
0.36/0.54	tff('57', plain, $false, inference('simplify', [status(thm)], ['56'])).
0.36/0.54	
0.36/0.54	% SZS output end Refutation
0.36/0.54	EOF
