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    : purification_int
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 int \
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   : n092.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 17:20:09 CST 2018
1.92/2.17	% done 563 iterations in 1.968s
1.92/2.17	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
1.92/2.17	% SZS output start Refutation
1.92/2.18	tff(cTHM531E_pme, conjecture,
1.92/2.18	  (((![Xx:a]: (cB(Xx) => cC(Xx))) & 
1.92/2.18	    (![P:(a > $o > $o)]:
1.92/2.18	       (((![Y:(a > $o),Xx:a,Z:(a > $o)]:
1.92/2.18	            (((![Xx_27:a]: (Z(Xx_27) => ((Xx_27 = Xx) | Y(Xx_27)))) & P(Y)) =>
1.92/2.18	             P(Z))) & 
1.92/2.18	         (![E:(a > $o)]: ((~(?[Xt:a]: E(Xt))) => P(E)))) =>
1.92/2.18	        P(cC)))) =>
1.92/2.18	   (![P:(a > $o > $o)]:
1.92/2.18	      (((![Y:(a > $o),Xx:a,Z:(a > $o)]:
1.92/2.18	           (((![Xx_28:a]: (Z(Xx_28) => ((Xx_28 = Xx) | Y(Xx_28)))) & P(Y)) =>
1.92/2.18	            P(Z))) & 
1.92/2.18	        (![E:(a > $o)]: ((~(?[Xt:a]: E(Xt))) => P(E)))) =>
1.92/2.18	       P(cB))))).
1.92/2.18	tff(zf_stmt_0, negated_conjecture,
1.92/2.18	  (~
1.92/2.18	    (((![Xx:a]: (cB(Xx) => cC(Xx))) & 
1.92/2.18	      (![P:(a > $o > $o)]:
1.92/2.18	         (((![Y:(a > $o),Xx:a,Z:(a > $o)]:
1.92/2.18	              (((![Xx_27:a]: (Z(Xx_27) => ((Xx_27 = Xx) | Y(Xx_27)))) & P(Y)) =>
1.92/2.18	               P(Z))) & 
1.92/2.18	           (![E:(a > $o)]: ((~(?[Xt:a]: E(Xt))) => P(E)))) =>
1.92/2.18	          P(cC)))) =>
1.92/2.18	     (![P:(a > $o > $o)]:
1.92/2.18	        (((![Y:(a > $o),Xx:a,Z:(a > $o)]:
1.92/2.18	             (((![Xx_28:a]: (Z(Xx_28) => ((Xx_28 = Xx) | Y(Xx_28)))) & P(Y)) =>
1.92/2.18	              P(Z))) & 
1.92/2.18	          (![E:(a > $o)]: ((~(?[Xt:a]: E(Xt))) => P(E)))) =>
1.92/2.18	         P(cB)))))).
1.92/2.18	tff('0', plain, ![X4 : a > $o]: (sk_P(X4) | X4(sk_Xt(X4))),
1.92/2.18	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.92/2.18	tff('1', plain,
1.92/2.18	    ![X4 : a > $o, X5 : a > $o]: (X5 != X4 | sk_P(X4) | X5(sk_Xt(X4))),
1.92/2.18	    inference('ho.purify_applied_variable', [status(thm)], ['0'])).
1.92/2.18	tff('2', plain,
1.92/2.18	    ![X1 : a > $o > $o, X2 : a]: (X1(cC) | ~ sk_E(X1, X2) | X1(sk_Y(X1))),
1.92/2.18	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.92/2.18	tff('3', plain,
1.92/2.18	    ![X1 : a > $o > $o, X2 : a, X3 : a > $o > $o]:
1.92/2.18	      (X3 != X1 | X1(cC) | ~ sk_E(X3, X2) | X1(sk_Y(X3))),
1.92/2.18	    inference('ho.purify_applied_variable', [status(thm)], ['2'])).
1.92/2.18	tff('4', plain,
1.92/2.18	    ![X0 : a > $o, X1 : a > $o > $o, X2 : a > $o > $o]:
1.92/2.18	      (~ $true | sk_P(X0) | sk_E(X1) != X0 | X2(sk_Y(X1)) | X2(cC) | X1 != X2),
1.92/2.18	    inference('sup-', [status(thm)], ['1', '3'])).
1.92/2.18	tff('5', plain,
1.92/2.18	    ![X0 : a > $o, X1 : a > $o > $o, X2 : a > $o > $o]:
1.92/2.18	      (X1 != X2 | X2(cC) | X2(sk_Y(X1)) | sk_E(X1) != X0 | sk_P(X0)),
1.92/2.18	    inference('simplify', [status(thm)], ['4'])).
1.92/2.18	tff('6', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a > $o > $o]:
1.92/2.18	      (sk_P(sk_E(X0)) | X1(sk_Y(X0)) | X1(cC) | X0 != X1),
1.92/2.18	    inference('eq_res', [status(thm)], ['5'])).
1.92/2.18	tff('7', plain,
1.92/2.18	    ![X5 : a > $o, X6 : a > $o, X7 : a]:
1.92/2.18	      (~ sk_P(X5) | X6(sk_Xx_28(X6, X7, X5)) | sk_P(X6)),
1.92/2.18	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.92/2.18	tff('8', plain,
1.92/2.18	    ![X5 : a > $o, X6 : a > $o, X7 : a, X8 : a > $o]:
1.92/2.18	      (X8 != X6 | ~ sk_P(X5) | X6(sk_Xx_28(X8, X7, X5)) | sk_P(X8)),
1.92/2.18	    inference('ho.purify_applied_variable', [status(thm)], ['7'])).
1.92/2.18	tff('9', plain,
1.92/2.18	    ![X1 : a > $o > $o, X2 : a, X3 : a]:
1.92/2.18	      (X1(cC)
1.92/2.18	       | ~ sk_E(X1, X2)
1.92/2.18	       | sk_Y(X1, X3)
1.92/2.18	       | X3 = sk_Xx(X1)
1.92/2.18	       | ~ sk_Z(X1, X3)),
1.92/2.18	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.92/2.18	tff('10', plain,
1.92/2.18	    ![X1 : a > $o > $o, X2 : a, X3 : a, X4 : a > $o > $o]:
1.92/2.18	      (X4 != X1
1.92/2.18	       | X1(cC)
1.92/2.18	       | ~ sk_E(X4, X2)
1.92/2.18	       | sk_Y(X4, X3)
1.92/2.18	       | X3 = sk_Xx(X4)
1.92/2.18	       | ~ sk_Z(X4, X3)),
1.92/2.18	    inference('ho.purify_applied_variable', [status(thm)], ['9'])).
1.92/2.18	tff('11', plain,
1.92/2.18	    ![X5 : a > $o, X6 : a > $o, X7 : a]:
1.92/2.18	      (~ sk_P(X5) | sk_Xx_28(X6, X7, X5) != X7 | sk_P(X6)),
1.92/2.18	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.92/2.18	tff('12', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a, X2 : a > $o, X3 : a > $o, X4 : a, 
1.92/2.18	      X5 : a > $o > $o]:
1.92/2.18	      (sk_Xx(X0) != X1
1.92/2.18	       | ~ sk_Z(X0, sk_Xx_28(X3, X1, X2))
1.92/2.18	       | sk_Y(X0, sk_Xx_28(X3, X1, X2))
1.92/2.18	       | ~ sk_E(X0, X4)
1.92/2.18	       | X5(cC)
1.92/2.18	       | X0 != X5
1.92/2.18	       | sk_P(X3)
1.92/2.18	       | ~ sk_P(X2)),
1.92/2.18	    inference('sup-', [status(thm)], ['10', '11'])).
1.92/2.18	tff('13', plain,
1.92/2.18	    ![X0 : a > $o > $o, X2 : a > $o, X3 : a > $o, X4 : a, X5 : a > $o > $o]:
1.92/2.18	      (~ sk_P(X2)
1.92/2.18	       | sk_P(X3)
1.92/2.18	       | X0 != X5
1.92/2.18	       | X5(cC)
1.92/2.18	       | ~ sk_E(X0, X4)
1.92/2.18	       | sk_Y(X0, sk_Xx_28(X3, sk_Xx(X0), X2))
1.92/2.18	       | ~ sk_Z(X0, sk_Xx_28(X3, sk_Xx(X0), X2))),
1.92/2.18	    inference('simplify', [status(thm)], ['12'])).
1.92/2.18	tff('14', plain,
1.92/2.18	    ![X0 : a > $o, X1 : a > $o > $o, X2 : a > $o, X3 : a, X4 : a > $o > $o]:
1.92/2.18	      (~ $true
1.92/2.18	       | sk_P(X2)
1.92/2.18	       | ~ sk_P(X0)
1.92/2.18	       | X2 != sk_Z(X1)
1.92/2.18	       | sk_Y(X1, sk_Xx_28(X2, sk_Xx(X1), X0))
1.92/2.18	       | ~ sk_E(X1, X3)
1.92/2.18	       | X4(cC)
1.92/2.18	       | X1 != X4
1.92/2.18	       | sk_P(X2)
1.92/2.18	       | ~ sk_P(X0)),
1.92/2.18	    inference('sup-', [status(thm)], ['8', '13'])).
1.92/2.18	tff('15', plain,
1.92/2.18	    ![X0 : a > $o, X1 : a > $o > $o, X2 : a > $o, X3 : a, X4 : a > $o > $o]:
1.92/2.18	      (X1 != X4
1.92/2.18	       | X4(cC)
1.92/2.18	       | ~ sk_E(X1, X3)
1.92/2.18	       | sk_Y(X1, sk_Xx_28(X2, sk_Xx(X1), X0))
1.92/2.18	       | X2 != sk_Z(X1)
1.92/2.18	       | ~ sk_P(X0)
1.92/2.18	       | sk_P(X2)),
1.92/2.18	    inference('simplify', [status(thm)], ['14'])).
1.92/2.18	tff('16', plain,
1.92/2.18	    ![X5 : a > $o, X6 : a > $o, X7 : a]:
1.92/2.18	      (~ sk_P(X5) | ~ X5(sk_Xx_28(X6, X7, X5)) | sk_P(X6)),
1.92/2.18	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.92/2.18	tff('17', plain,
1.92/2.18	    ![X5 : a > $o, X6 : a > $o, X7 : a, X8 : a > $o]:
1.92/2.18	      (X8 != X5 | ~ sk_P(X5) | ~ X8(sk_Xx_28(X6, X7, X5)) | sk_P(X6)),
1.92/2.18	    inference('ho.purify_applied_variable', [status(thm)], ['16'])).
1.92/2.18	tff('18', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a > $o, X2 : a > $o, X3 : a, X4 : a > $o > $o]:
1.92/2.18	      (~ $true
1.92/2.18	       | sk_P(X2)
1.92/2.18	       | ~ sk_P(X1)
1.92/2.18	       | X2 != sk_Z(X0)
1.92/2.18	       | ~ sk_E(X0, X3)
1.92/2.18	       | X4(cC)
1.92/2.18	       | X0 != X4
1.92/2.18	       | sk_P(X2)
1.92/2.18	       | ~ sk_P(X1)
1.92/2.18	       | sk_Y(X0) != X1),
1.92/2.18	    inference('sup-', [status(thm)], ['15', '17'])).
1.92/2.18	tff('19', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a > $o, X2 : a > $o, X3 : a, X4 : a > $o > $o]:
1.92/2.18	      (sk_Y(X0) != X1
1.92/2.18	       | X0 != X4
1.92/2.18	       | X4(cC)
1.92/2.18	       | ~ sk_E(X0, X3)
1.92/2.18	       | X2 != sk_Z(X0)
1.92/2.18	       | ~ sk_P(X1)
1.92/2.18	       | sk_P(X2)),
1.92/2.18	    inference('simplify', [status(thm)], ['18'])).
1.92/2.18	tff('20', plain,
1.92/2.18	    ![X0 : a > $o, X1 : a > $o > $o, X2 : a, X3 : a > $o > $o]:
1.92/2.18	      (sk_P(X0)
1.92/2.18	       | ~ sk_P(sk_Y(X1))
1.92/2.18	       | X0 != sk_Z(X1)
1.92/2.18	       | ~ sk_E(X1, X2)
1.92/2.18	       | X3(cC)
1.92/2.18	       | X1 != X3),
1.92/2.18	    inference('eq_res', [status(thm)], ['19'])).
1.92/2.18	tff('21', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a > $o > $o, X2 : a]:
1.92/2.18	      (X0 != X1 | X1(cC) | ~ sk_E(X0, X2) | ~ sk_P(sk_Y(X0)) | sk_P(sk_Z(X0))),
1.92/2.18	    inference('eq_res', [status(thm)], ['20'])).
1.92/2.18	tff('22', plain,
1.92/2.18	    ![X0 : a > $o, X1 : a > $o > $o, X2 : a > $o > $o]:
1.92/2.18	      (~ $true
1.92/2.18	       | sk_P(X0)
1.92/2.18	       | sk_E(X1) != X0
1.92/2.18	       | sk_P(sk_Z(X1))
1.92/2.18	       | ~ sk_P(sk_Y(X1))
1.92/2.18	       | X2(cC)
1.92/2.18	       | X1 != X2),
1.92/2.18	    inference('sup-', [status(thm)], ['1', '21'])).
1.92/2.18	tff('23', plain,
1.92/2.18	    ![X0 : a > $o, X1 : a > $o > $o, X2 : a > $o > $o]:
1.92/2.18	      (X1 != X2
1.92/2.18	       | X2(cC)
1.92/2.18	       | ~ sk_P(sk_Y(X1))
1.92/2.18	       | sk_P(sk_Z(X1))
1.92/2.18	       | sk_E(X1) != X0
1.92/2.18	       | sk_P(X0)),
1.92/2.18	    inference('simplify', [status(thm)], ['22'])).
1.92/2.18	tff('24', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a > $o > $o]:
1.92/2.18	      (sk_P(sk_E(X0)) | sk_P(sk_Z(X0)) | ~ sk_P(sk_Y(X0)) | X1(cC) | X0 != X1),
1.92/2.18	    inference('eq_res', [status(thm)], ['23'])).
1.92/2.18	tff('25', plain,
1.92/2.18	    ![X1 : a > $o > $o, X2 : a]: (X1(cC) | ~ sk_E(X1, X2) | ~ X1(sk_Z(X1))),
1.92/2.18	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.92/2.18	tff('26', plain,
1.92/2.18	    ![X1 : a > $o > $o, X2 : a, X3 : a > $o > $o]:
1.92/2.18	      (X3 != X1 | X1(cC) | ~ sk_E(X3, X2) | ~ X1(sk_Z(X3))),
1.92/2.18	    inference('ho.purify_applied_variable', [status(thm)], ['25'])).
1.92/2.18	tff('27', plain,
1.92/2.18	    ![X0 : a > $o, X1 : a > $o > $o, X2 : a > $o > $o]:
1.92/2.18	      (~ $true
1.92/2.18	       | sk_P(X0)
1.92/2.18	       | sk_E(X1) != X0
1.92/2.18	       | ~ X2(sk_Z(X1))
1.92/2.18	       | X2(cC)
1.92/2.18	       | X1 != X2),
1.92/2.18	    inference('sup-', [status(thm)], ['1', '26'])).
1.92/2.18	tff('28', plain,
1.92/2.18	    ![X0 : a > $o, X1 : a > $o > $o, X2 : a > $o > $o]:
1.92/2.18	      (X1 != X2 | X2(cC) | ~ X2(sk_Z(X1)) | sk_E(X1) != X0 | sk_P(X0)),
1.92/2.18	    inference('simplify', [status(thm)], ['27'])).
1.92/2.18	tff('29', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a > $o > $o]:
1.92/2.18	      (sk_P(sk_E(X0)) | ~ X1(sk_Z(X0)) | X1(cC) | X0 != X1),
1.92/2.18	    inference('eq_res', [status(thm)], ['28'])).
1.92/2.18	tff('30', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a > $o > $o]:
1.92/2.18	      (~ $true
1.92/2.18	       | X0 != X1
1.92/2.18	       | X1(cC)
1.92/2.18	       | ~ sk_P(sk_Y(X0))
1.92/2.18	       | sk_P(sk_E(X0))
1.92/2.18	       | X0 != sk_P
1.92/2.18	       | sk_P(cC)
1.92/2.18	       | sk_P(sk_E(X0))),
1.92/2.18	    inference('sup-', [status(thm)], ['24', '29'])).
1.92/2.18	tff('31', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a > $o > $o]:
1.92/2.18	      (sk_P(cC)
1.92/2.18	       | X0 != sk_P
1.92/2.18	       | sk_P(sk_E(X0))
1.92/2.18	       | ~ sk_P(sk_Y(X0))
1.92/2.18	       | X1(cC)
1.92/2.18	       | X0 != X1),
1.92/2.18	    inference('simplify', [status(thm)], ['30'])).
1.92/2.18	tff('32', plain, ![X0 : a]: (cC(X0) | ~ cB(X0)),
1.92/2.18	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.92/2.18	tff('33', plain,
1.92/2.18	    ![X0 : a > $o, X1 : a, X2 : a > $o]:
1.92/2.18	      (~ $true | sk_P(X2) | ~ sk_P(X0) | X2 != cB | cC(sk_Xx_28(X2, X1, X0))),
1.92/2.18	    inference('sup-', [status(thm)], ['8', '32'])).
1.92/2.18	tff('34', plain,
1.92/2.18	    ![X0 : a > $o, X1 : a, X2 : a > $o]:
1.92/2.18	      (cC(sk_Xx_28(X2, X1, X0)) | X2 != cB | ~ sk_P(X0) | sk_P(X2)),
1.92/2.18	    inference('simplify', [status(thm)], ['33'])).
1.92/2.18	tff('35', plain,
1.92/2.18	    ![X0 : a > $o, X1 : a]:
1.92/2.18	      (sk_P(cB) | ~ sk_P(X0) | cC(sk_Xx_28(cB, X1, X0))),
1.92/2.18	    inference('eq_res', [status(thm)], ['34'])).
1.92/2.18	tff('36', plain, ~ sk_P(cB), inference('cnf', [status(esa)], [zf_stmt_0])).
1.92/2.18	tff('37', plain,
1.92/2.18	    ![X0 : a > $o, X1 : a]: (cC(sk_Xx_28(cB, X1, X0)) | ~ sk_P(X0)),
1.92/2.18	    inference('clc', [status(thm)], ['35', '36'])).
1.92/2.18	tff('38', plain,
1.92/2.18	    ![X0 : a > $o]: (~ $true | ~ sk_P(X0) | sk_P(cB) | ~ sk_P(X0) | cC != X0),
1.92/2.18	    inference('sup-', [status(thm)], ['37', '17'])).
1.92/2.18	tff('39', plain, ![X0 : a > $o]: (cC != X0 | sk_P(cB) | ~ sk_P(X0)),
1.92/2.18	    inference('simplify', [status(thm)], ['38'])).
1.92/2.18	tff('40', plain, ![X0 : a > $o]: (~ sk_P(X0) | cC != X0),
1.92/2.18	    inference('clc', [status(thm)], ['39', '36'])).
1.92/2.18	tff('41', plain, ~ sk_P(cC), inference('eq_res', [status(thm)], ['40'])).
1.92/2.18	tff('42', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a > $o > $o]:
1.92/2.18	      (X0 != X1 | X1(cC) | ~ sk_P(sk_Y(X0)) | sk_P(sk_E(X0)) | X0 != sk_P),
1.92/2.18	    inference('clc', [status(thm)], ['31', '41'])).
1.92/2.18	tff('43', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a > $o > $o]:
1.92/2.18	      (~ $true
1.92/2.18	       | X0 != sk_P
1.92/2.18	       | sk_P(cC)
1.92/2.18	       | sk_P(sk_E(X0))
1.92/2.18	       | X0 != sk_P
1.92/2.18	       | sk_P(sk_E(X0))
1.92/2.18	       | X1(cC)
1.92/2.18	       | X0 != X1),
1.92/2.18	    inference('sup-', [status(thm)], ['6', '42'])).
1.92/2.18	tff('44', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a > $o > $o]:
1.92/2.18	      (X0 != X1 | X1(cC) | sk_P(sk_E(X0)) | sk_P(cC) | X0 != sk_P),
1.92/2.18	    inference('simplify', [status(thm)], ['43'])).
1.92/2.18	tff('45', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a > $o > $o]:
1.92/2.18	      (X0 != sk_P | sk_P(sk_E(X0)) | X1(cC) | X0 != X1),
1.92/2.18	    inference('clc', [status(thm)], ['44', '41'])).
1.92/2.18	tff('46', plain,
1.92/2.18	    ![X1 : a > $o > $o]: (X1(cC) | ~ X1(sk_E(X1)) | X1(sk_Y(X1))),
1.92/2.18	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.92/2.18	tff('47', plain,
1.92/2.18	    ![X1 : a > $o > $o, X2 : a > $o > $o]:
1.92/2.18	      (X2 != X1 | X1(cC) | ~ X1(sk_E(X2)) | X1(sk_Y(X2))),
1.92/2.18	    inference('ho.purify_applied_variable', [status(thm)], ['46'])).
1.92/2.18	tff('48', plain,
1.92/2.18	    ![X1 : a > $o > $o, X3 : a]:
1.92/2.18	      (X1(cC)
1.92/2.18	       | ~ X1(sk_E(X1))
1.92/2.18	       | sk_Y(X1, X3)
1.92/2.18	       | X3 = sk_Xx(X1)
1.92/2.18	       | ~ sk_Z(X1, X3)),
1.92/2.18	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.92/2.18	tff('49', plain,
1.92/2.18	    ![X1 : a > $o > $o, X3 : a, X4 : a > $o > $o]:
1.92/2.18	      (X4 != X1
1.92/2.18	       | X1(cC)
1.92/2.18	       | ~ X1(sk_E(X4))
1.92/2.18	       | sk_Y(X4, X3)
1.92/2.18	       | X3 = sk_Xx(X4)
1.92/2.18	       | ~ sk_Z(X4, X3)),
1.92/2.18	    inference('ho.purify_applied_variable', [status(thm)], ['48'])).
1.92/2.18	tff('50', plain,
1.92/2.18	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o > $o, X4 : a > $o > $o]:
1.92/2.18	      (~ $true
1.92/2.18	       | sk_P(X2)
1.92/2.18	       | ~ sk_P(X0)
1.92/2.18	       | X2 != sk_Z(X3)
1.92/2.18	       | sk_Xx_28(X2, X1, X0) = sk_Xx(X3)
1.92/2.18	       | sk_Y(X3, sk_Xx_28(X2, X1, X0))
1.92/2.18	       | ~ X4(sk_E(X3))
1.92/2.18	       | X4(cC)
1.92/2.18	       | X3 != X4),
1.92/2.18	    inference('sup-', [status(thm)], ['8', '49'])).
1.92/2.18	tff('51', plain,
1.92/2.18	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o > $o, X4 : a > $o > $o]:
1.92/2.18	      (X3 != X4
1.92/2.18	       | X4(cC)
1.92/2.18	       | ~ X4(sk_E(X3))
1.92/2.18	       | sk_Y(X3, sk_Xx_28(X2, X1, X0))
1.92/2.18	       | sk_Xx_28(X2, X1, X0) = sk_Xx(X3)
1.92/2.18	       | X2 != sk_Z(X3)
1.92/2.18	       | ~ sk_P(X0)
1.92/2.18	       | sk_P(X2)),
1.92/2.18	    inference('simplify', [status(thm)], ['50'])).
1.92/2.18	tff('52', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a, X2 : a > $o, X3 : a > $o, X4 : a > $o > $o]:
1.92/2.18	      (sk_Xx(X0) != X1
1.92/2.18	       | sk_P(X3)
1.92/2.18	       | ~ sk_P(X2)
1.92/2.18	       | X3 != sk_Z(X0)
1.92/2.18	       | sk_Y(X0, sk_Xx_28(X3, X1, X2))
1.92/2.18	       | ~ X4(sk_E(X0))
1.92/2.18	       | X4(cC)
1.92/2.18	       | X0 != X4
1.92/2.18	       | sk_P(X3)
1.92/2.18	       | ~ sk_P(X2)),
1.92/2.18	    inference('sup-', [status(thm)], ['51', '11'])).
1.92/2.18	tff('53', plain,
1.92/2.18	    ![X0 : a > $o > $o, X2 : a > $o, X3 : a > $o, X4 : a > $o > $o]:
1.92/2.18	      (X0 != X4
1.92/2.18	       | X4(cC)
1.92/2.18	       | ~ X4(sk_E(X0))
1.92/2.18	       | sk_Y(X0, sk_Xx_28(X3, sk_Xx(X0), X2))
1.92/2.18	       | X3 != sk_Z(X0)
1.92/2.18	       | ~ sk_P(X2)
1.92/2.18	       | sk_P(X3)),
1.92/2.18	    inference('simplify', [status(thm)], ['52'])).
1.92/2.18	tff('54', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o > $o]:
1.92/2.18	      (~ $true
1.92/2.18	       | sk_P(X2)
1.92/2.18	       | ~ sk_P(X1)
1.92/2.18	       | X2 != sk_Z(X0)
1.92/2.18	       | ~ X3(sk_E(X0))
1.92/2.18	       | X3(cC)
1.92/2.18	       | X0 != X3
1.92/2.18	       | sk_P(X2)
1.92/2.18	       | ~ sk_P(X1)
1.92/2.18	       | sk_Y(X0) != X1),
1.92/2.18	    inference('sup-', [status(thm)], ['53', '17'])).
1.92/2.18	tff('55', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a > $o, X2 : a > $o, X3 : a > $o > $o]:
1.92/2.18	      (sk_Y(X0) != X1
1.92/2.18	       | X0 != X3
1.92/2.18	       | X3(cC)
1.92/2.18	       | ~ X3(sk_E(X0))
1.92/2.18	       | X2 != sk_Z(X0)
1.92/2.18	       | ~ sk_P(X1)
1.92/2.18	       | sk_P(X2)),
1.92/2.18	    inference('simplify', [status(thm)], ['54'])).
1.92/2.18	tff('56', plain,
1.92/2.18	    ![X0 : a > $o, X1 : a > $o > $o, X2 : a > $o > $o]:
1.92/2.18	      (sk_P(X0)
1.92/2.18	       | ~ sk_P(sk_Y(X1))
1.92/2.18	       | X0 != sk_Z(X1)
1.92/2.18	       | ~ X2(sk_E(X1))
1.92/2.18	       | X2(cC)
1.92/2.18	       | X1 != X2),
1.92/2.18	    inference('eq_res', [status(thm)], ['55'])).
1.92/2.18	tff('57', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a > $o > $o]:
1.92/2.18	      (X0 != X1 | X1(cC) | ~ X1(sk_E(X0)) | ~ sk_P(sk_Y(X0)) | sk_P(sk_Z(X0))),
1.92/2.18	    inference('eq_res', [status(thm)], ['56'])).
1.92/2.18	tff('58', plain,
1.92/2.18	    ![X1 : a > $o > $o]: (X1(cC) | ~ X1(sk_E(X1)) | ~ X1(sk_Z(X1))),
1.92/2.18	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.92/2.18	tff('59', plain,
1.92/2.18	    ![X1 : a > $o > $o, X2 : a > $o > $o]:
1.92/2.18	      (X2 != X1 | X1(cC) | ~ X1(sk_E(X2)) | ~ X1(sk_Z(X2))),
1.92/2.18	    inference('ho.purify_applied_variable', [status(thm)], ['58'])).
1.92/2.18	tff('60', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a > $o > $o]:
1.92/2.18	      (~ $true
1.92/2.18	       | ~ sk_P(sk_Y(X0))
1.92/2.18	       | ~ X1(sk_E(X0))
1.92/2.18	       | X1(cC)
1.92/2.18	       | X0 != X1
1.92/2.18	       | ~ sk_P(sk_E(X0))
1.92/2.18	       | sk_P(cC)
1.92/2.18	       | X0 != sk_P),
1.92/2.18	    inference('sup-', [status(thm)], ['57', '59'])).
1.92/2.18	tff('61', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a > $o > $o]:
1.92/2.18	      (X0 != sk_P
1.92/2.18	       | sk_P(cC)
1.92/2.18	       | ~ sk_P(sk_E(X0))
1.92/2.18	       | X0 != X1
1.92/2.18	       | X1(cC)
1.92/2.18	       | ~ X1(sk_E(X0))
1.92/2.18	       | ~ sk_P(sk_Y(X0))),
1.92/2.18	    inference('simplify', [status(thm)], ['60'])).
1.92/2.18	tff('62', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a > $o > $o]:
1.92/2.18	      (~ sk_P(sk_Y(X0))
1.92/2.18	       | ~ X1(sk_E(X0))
1.92/2.18	       | X1(cC)
1.92/2.18	       | X0 != X1
1.92/2.18	       | ~ sk_P(sk_E(X0))
1.92/2.18	       | X0 != sk_P),
1.92/2.18	    inference('clc', [status(thm)], ['61', '41'])).
1.92/2.18	tff('63', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a > $o > $o]:
1.92/2.18	      (X0 != sk_P | X0 != X1 | X1(cC) | ~ X1(sk_E(X0)) | ~ sk_P(sk_Y(X0))),
1.92/2.18	    inference('clc', [status(thm)], ['62', '45'])).
1.92/2.18	tff('64', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a > $o > $o]:
1.92/2.18	      (~ $true
1.92/2.18	       | ~ sk_P(sk_E(X0))
1.92/2.18	       | sk_P(cC)
1.92/2.18	       | X0 != sk_P
1.92/2.18	       | ~ X1(sk_E(X0))
1.92/2.18	       | X1(cC)
1.92/2.18	       | X0 != X1
1.92/2.18	       | X0 != sk_P),
1.92/2.18	    inference('sup-', [status(thm)], ['47', '63'])).
1.92/2.18	tff('65', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a > $o > $o]:
1.92/2.18	      (X0 != X1
1.92/2.18	       | X1(cC)
1.92/2.18	       | ~ X1(sk_E(X0))
1.92/2.18	       | X0 != sk_P
1.92/2.18	       | sk_P(cC)
1.92/2.18	       | ~ sk_P(sk_E(X0))),
1.92/2.18	    inference('simplify', [status(thm)], ['64'])).
1.92/2.18	tff('66', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a > $o > $o]:
1.92/2.18	      (~ sk_P(sk_E(X0)) | X0 != sk_P | ~ X1(sk_E(X0)) | X1(cC) | X0 != X1),
1.92/2.18	    inference('clc', [status(thm)], ['65', '41'])).
1.92/2.18	tff('67', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a > $o > $o]:
1.92/2.18	      (X0 != X1 | X1(cC) | ~ X1(sk_E(X0)) | X0 != sk_P),
1.92/2.18	    inference('clc', [status(thm)], ['66', '45'])).
1.92/2.18	tff('68', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a > $o > $o]:
1.92/2.18	      (~ $true
1.92/2.18	       | X0 != X1
1.92/2.18	       | X1(cC)
1.92/2.18	       | X0 != sk_P
1.92/2.18	       | X0 != sk_P
1.92/2.18	       | sk_P(cC)
1.92/2.18	       | X0 != sk_P),
1.92/2.18	    inference('sup-', [status(thm)], ['45', '67'])).
1.92/2.18	tff('69', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a > $o > $o]:
1.92/2.18	      (sk_P(cC) | X0 != sk_P | X1(cC) | X0 != X1),
1.92/2.18	    inference('simplify', [status(thm)], ['68'])).
1.92/2.18	tff('70', plain,
1.92/2.18	    ![X0 : a > $o > $o, X1 : a > $o > $o]: (X0 != X1 | X1(cC) | X0 != sk_P),
1.92/2.18	    inference('clc', [status(thm)], ['69', '41'])).
1.92/2.18	tff('71', plain,
1.92/2.18	    ![X0 : a > $o > $o]: (~ $true | X0 != sk_P | X0 != sk_P | cC != cC),
1.92/2.18	    inference('sup-', [status(thm)], ['70', '40'])).
1.92/2.18	tff('72', plain, ![X0 : a > $o > $o]: X0 != sk_P,
1.92/2.18	    inference('simplify', [status(thm)], ['71'])).
1.92/2.18	tff('73', plain, $false, inference('eq_res', [status(thm)], ['72'])).
1.92/2.18	
1.92/2.18	% SZS output end Refutation
1.92/2.18	EOF
