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    : purification_int
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-avatar \
0.00/0.00	  --ho \
0.00/0.00	  --force-ho \
0.00/0.00	  --no-ho-elim-pred-var \
0.00/0.00	  --ho-general-ext-pos \
0.00/0.00	  --no-ho-unif \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n102.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
0.00/0.50	% done 351 iterations in 0.295s
0.00/0.50	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.50	% SZS output start Refutation
0.00/0.50	tff(cTHM531E_pme, conjecture,
0.00/0.50	  (((![Xx:a]: (cB(Xx) => cC(Xx))) & 
0.00/0.50	    (![P:(a > $o > $o)]:
0.00/0.50	       (((![Y:(a > $o),Xx:a,Z:(a > $o)]:
0.00/0.50	            (((![Xx_27:a]: (Z(Xx_27) => ((Xx_27 = Xx) | Y(Xx_27)))) & P(Y)) =>
0.00/0.50	             P(Z))) & 
0.00/0.50	         (![E:(a > $o)]: ((~(?[Xt:a]: E(Xt))) => P(E)))) =>
0.00/0.50	        P(cC)))) =>
0.00/0.50	   (![P:(a > $o > $o)]:
0.00/0.50	      (((![Y:(a > $o),Xx:a,Z:(a > $o)]:
0.00/0.50	           (((![Xx_28:a]: (Z(Xx_28) => ((Xx_28 = Xx) | Y(Xx_28)))) & P(Y)) =>
0.00/0.50	            P(Z))) & 
0.00/0.50	        (![E:(a > $o)]: ((~(?[Xt:a]: E(Xt))) => P(E)))) =>
0.00/0.50	       P(cB))))).
0.00/0.50	tff(zf_stmt_0, negated_conjecture,
0.00/0.50	  (~
0.00/0.50	    (((![Xx:a]: (cB(Xx) => cC(Xx))) & 
0.00/0.50	      (![P:(a > $o > $o)]:
0.00/0.50	         (((![Y:(a > $o),Xx:a,Z:(a > $o)]:
0.00/0.50	              (((![Xx_27:a]: (Z(Xx_27) => ((Xx_27 = Xx) | Y(Xx_27)))) & P(Y)) =>
0.00/0.50	               P(Z))) & 
0.00/0.50	           (![E:(a > $o)]: ((~(?[Xt:a]: E(Xt))) => P(E)))) =>
0.00/0.50	          P(cC)))) =>
0.00/0.50	     (![P:(a > $o > $o)]:
0.00/0.50	        (((![Y:(a > $o),Xx:a,Z:(a > $o)]:
0.00/0.50	             (((![Xx_28:a]: (Z(Xx_28) => ((Xx_28 = Xx) | Y(Xx_28)))) & P(Y)) =>
0.00/0.50	              P(Z))) & 
0.00/0.50	          (![E:(a > $o)]: ((~(?[Xt:a]: E(Xt))) => P(E)))) =>
0.00/0.50	         P(cB)))))).
0.00/0.50	tff('0', plain,
0.00/0.50	    ![X1 : a > $o > $o]: (X1(cC) | ~ X1(sk_E(X1)) | X1(sk_Y(X1))),
0.00/0.50	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.50	tff('1', plain,
0.00/0.50	    ![X1 : a > $o > $o, X2 : a > $o > $o]:
0.00/0.50	      (X2 != X1 | X1(cC) | ~ X1(sk_E(X2)) | X1(sk_Y(X2))),
0.00/0.50	    inference('ho.purify_applied_variable', [status(thm)], ['0'])).
0.00/0.50	tff('2', plain,
0.00/0.50	    ![X5 : a > $o, X6 : a > $o, X7 : a]:
0.00/0.50	      (~ sk_P(X5) | X6(sk_Xx_28(X6, X7, X5)) | sk_P(X6)),
0.00/0.50	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.50	tff('3', plain,
0.00/0.50	    ![X5 : a > $o, X6 : a > $o, X7 : a, X8 : a > $o]:
0.00/0.50	      (X8 != X6 | ~ sk_P(X5) | X6(sk_Xx_28(X8, X7, X5)) | sk_P(X8)),
0.00/0.50	    inference('ho.purify_applied_variable', [status(thm)], ['2'])).
0.00/0.50	tff('4', plain, ![X4 : a > $o]: (sk_P(X4) | X4(sk_Xt(X4))),
0.00/0.50	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.50	tff('5', plain,
0.00/0.50	    ![X4 : a > $o, X5 : a > $o]: (X5 != X4 | sk_P(X4) | X5(sk_Xt(X4))),
0.00/0.50	    inference('ho.purify_applied_variable', [status(thm)], ['4'])).
0.00/0.50	tff('6', plain,
0.00/0.50	    ![X1 : a > $o > $o, X2 : a, X3 : a]:
0.00/0.50	      (X1(cC)
0.00/0.50	       | ~ sk_E(X1, X2)
0.00/0.50	       | sk_Y(X1, X3)
0.00/0.50	       | X3 = sk_Xx(X1)
0.00/0.50	       | ~ sk_Z(X1, X3)),
0.00/0.50	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.50	tff('7', plain,
0.00/0.50	    ![X1 : a > $o > $o, X2 : a, X3 : a, X4 : a > $o > $o]:
0.00/0.50	      (X4 != X1
0.00/0.50	       | X1(cC)
0.00/0.50	       | ~ sk_E(X4, X2)
0.00/0.50	       | sk_Y(X4, X3)
0.00/0.50	       | X3 = sk_Xx(X4)
0.00/0.50	       | ~ sk_Z(X4, X3)),
0.00/0.50	    inference('ho.purify_applied_variable', [status(thm)], ['6'])).
0.00/0.50	tff('8', plain, ![X0 : a]: (cC(X0) | ~ cB(X0)),
0.00/0.50	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.50	tff('9', plain,
0.00/0.50	    ![X0 : a > $o, X1 : a, X2 : a > $o]:
0.00/0.50	      (~ $true | sk_P(X2) | ~ sk_P(X0) | X2 != cB | cC(sk_Xx_28(X2, X1, X0))),
0.00/0.50	    inference('sup-', [status(thm)], ['3', '8'])).
0.00/0.50	tff('10', plain,
0.00/0.50	    ![X0 : a > $o, X1 : a, X2 : a > $o]:
0.00/0.50	      (cC(sk_Xx_28(X2, X1, X0)) | X2 != cB | ~ sk_P(X0) | sk_P(X2)),
0.00/0.50	    inference('simplify', [status(thm)], ['9'])).
0.00/0.50	tff('11', plain,
0.00/0.50	    ![X5 : a > $o, X6 : a > $o, X7 : a]:
0.00/0.50	      (~ sk_P(X5) | ~ X5(sk_Xx_28(X6, X7, X5)) | sk_P(X6)),
0.00/0.50	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.50	tff('12', plain,
0.00/0.50	    ![X5 : a > $o, X6 : a > $o, X7 : a, X8 : a > $o]:
0.00/0.50	      (X8 != X5 | ~ sk_P(X5) | ~ X8(sk_Xx_28(X6, X7, X5)) | sk_P(X6)),
0.00/0.50	    inference('ho.purify_applied_variable', [status(thm)], ['11'])).
0.00/0.50	tff('13', plain,
0.00/0.50	    ![X0 : a > $o, X2 : a > $o]:
0.00/0.50	      (~ $true
0.00/0.50	       | sk_P(X2)
0.00/0.50	       | ~ sk_P(X0)
0.00/0.50	       | X2 != cB
0.00/0.50	       | sk_P(X2)
0.00/0.50	       | ~ sk_P(X0)
0.00/0.50	       | cC != X0),
0.00/0.50	    inference('sup-', [status(thm)], ['10', '12'])).
0.00/0.50	tff('14', plain,
0.00/0.50	    ![X0 : a > $o, X2 : a > $o]:
0.00/0.50	      (cC != X0 | X2 != cB | ~ sk_P(X0) | sk_P(X2)),
0.00/0.50	    inference('simplify', [status(thm)], ['13'])).
0.00/0.50	tff('15', plain, ~ sk_P(cB), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.50	tff('16', plain,
0.00/0.50	    ![X0 : a > $o]: (~ $true | ~ sk_P(X0) | cB != cB | cC != X0),
0.00/0.50	    inference('sup-', [status(thm)], ['14', '15'])).
0.00/0.50	tff('17', plain, ![X0 : a > $o]: (cC != X0 | ~ sk_P(X0)),
0.00/0.50	    inference('simplify', [status(thm)], ['16'])).
0.00/0.50	tff('18', plain,
0.00/0.50	    ![X0 : a, X1 : a > $o > $o, X2 : a]:
0.00/0.50	      (~ $true
0.00/0.50	       | ~ sk_Z(X1, X0)
0.00/0.50	       | X0 = sk_Xx(X1)
0.00/0.50	       | sk_Y(X1, X0)
0.00/0.50	       | ~ sk_E(X1, X2)
0.00/0.50	       | X1 != sk_P
0.00/0.50	       | cC != cC),
0.00/0.50	    inference('sup-', [status(thm)], ['7', '17'])).
0.00/0.50	tff('19', plain,
0.00/0.50	    ![X0 : a, X1 : a > $o > $o, X2 : a]:
0.00/0.50	      (X1 != sk_P
0.00/0.50	       | ~ sk_E(X1, X2)
0.00/0.50	       | sk_Y(X1, X0)
0.00/0.50	       | X0 = sk_Xx(X1)
0.00/0.50	       | ~ sk_Z(X1, X0)),
0.00/0.50	    inference('simplify', [status(thm)], ['18'])).
0.00/0.50	tff('20', plain,
0.00/0.50	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o > $o, X4 : a]:
0.00/0.50	      (~ $true
0.00/0.50	       | sk_P(X2)
0.00/0.50	       | ~ sk_P(X0)
0.00/0.50	       | X2 != sk_Z(X3)
0.00/0.50	       | sk_Xx_28(X2, X1, X0) = sk_Xx(X3)
0.00/0.50	       | sk_Y(X3, sk_Xx_28(X2, X1, X0))
0.00/0.50	       | ~ sk_E(X3, X4)
0.00/0.50	       | X3 != sk_P),
0.00/0.50	    inference('sup-', [status(thm)], ['3', '19'])).
0.00/0.50	tff('21', plain,
0.00/0.50	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o > $o, X4 : a]:
0.00/0.50	      (X3 != sk_P
0.00/0.50	       | ~ sk_E(X3, X4)
0.00/0.50	       | sk_Y(X3, sk_Xx_28(X2, X1, X0))
0.00/0.50	       | sk_Xx_28(X2, X1, X0) = sk_Xx(X3)
0.00/0.50	       | X2 != sk_Z(X3)
0.00/0.50	       | ~ sk_P(X0)
0.00/0.50	       | sk_P(X2)),
0.00/0.50	    inference('simplify', [status(thm)], ['20'])).
0.00/0.50	tff('22', plain,
0.00/0.50	    ![X0 : a > $o > $o, X1 : a > $o, X2 : a, X3 : a > $o, X4 : a]:
0.00/0.50	      (~ $true
0.00/0.50	       | sk_P(X3)
0.00/0.50	       | ~ sk_P(X1)
0.00/0.50	       | X3 != sk_Z(X0)
0.00/0.50	       | sk_Xx_28(X3, X2, X1) = sk_Xx(X0)
0.00/0.50	       | ~ sk_E(X0, X4)
0.00/0.50	       | X0 != sk_P
0.00/0.50	       | sk_P(X3)
0.00/0.50	       | ~ sk_P(X1)
0.00/0.50	       | sk_Y(X0) != X1),
0.00/0.50	    inference('sup-', [status(thm)], ['21', '12'])).
0.00/0.50	tff('23', plain,
0.00/0.50	    ![X0 : a > $o > $o, X1 : a > $o, X2 : a, X3 : a > $o, X4 : a]:
0.00/0.50	      (sk_Y(X0) != X1
0.00/0.50	       | X0 != sk_P
0.00/0.50	       | ~ sk_E(X0, X4)
0.00/0.50	       | sk_Xx_28(X3, X2, X1) = sk_Xx(X0)
0.00/0.50	       | X3 != sk_Z(X0)
0.00/0.50	       | ~ sk_P(X1)
0.00/0.50	       | sk_P(X3)),
0.00/0.50	    inference('simplify', [status(thm)], ['22'])).
0.00/0.50	tff('24', plain,
0.00/0.50	    ![X5 : a > $o, X6 : a > $o, X7 : a]:
0.00/0.50	      (~ sk_P(X5) | sk_Xx_28(X6, X7, X5) != X7 | sk_P(X6)),
0.00/0.50	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.50	tff('25', plain,
0.00/0.50	    ![X0 : a > $o > $o, X1 : a, X2 : a > $o, X3 : a > $o, X4 : a]:
0.00/0.50	      (sk_Xx(X0) != X1
0.00/0.50	       | sk_P(X3)
0.00/0.50	       | ~ sk_P(X2)
0.00/0.50	       | X3 != sk_Z(X0)
0.00/0.50	       | ~ sk_E(X0, X4)
0.00/0.50	       | X0 != sk_P
0.00/0.50	       | sk_Y(X0) != X2
0.00/0.50	       | sk_P(X3)
0.00/0.50	       | ~ sk_P(X2)),
0.00/0.50	    inference('sup-', [status(thm)], ['23', '24'])).
0.00/0.50	tff('26', plain,
0.00/0.50	    ![X0 : a > $o > $o, X2 : a > $o, X3 : a > $o, X4 : a]:
0.00/0.50	      (sk_Y(X0) != X2
0.00/0.50	       | X0 != sk_P
0.00/0.50	       | ~ sk_E(X0, X4)
0.00/0.50	       | X3 != sk_Z(X0)
0.00/0.50	       | ~ sk_P(X2)
0.00/0.50	       | sk_P(X3)),
0.00/0.50	    inference('simplify', [status(thm)], ['25'])).
0.00/0.50	tff('27', plain,
0.00/0.50	    ![X0 : a > $o, X1 : a > $o > $o, X2 : a]:
0.00/0.50	      (sk_P(X0)
0.00/0.50	       | ~ sk_P(sk_Y(X1))
0.00/0.50	       | X0 != sk_Z(X1)
0.00/0.50	       | ~ sk_E(X1, X2)
0.00/0.50	       | X1 != sk_P),
0.00/0.50	    inference('eq_res', [status(thm)], ['26'])).
0.00/0.50	tff('28', plain,
0.00/0.50	    ![X0 : a > $o > $o, X1 : a]:
0.00/0.50	      (X0 != sk_P | ~ sk_E(X0, X1) | ~ sk_P(sk_Y(X0)) | sk_P(sk_Z(X0))),
0.00/0.50	    inference('eq_res', [status(thm)], ['27'])).
0.00/0.50	tff('29', plain,
0.00/0.50	    ![X0 : a > $o, X1 : a > $o > $o]:
0.00/0.50	      (~ $true
0.00/0.50	       | sk_P(X0)
0.00/0.50	       | sk_E(X1) != X0
0.00/0.50	       | sk_P(sk_Z(X1))
0.00/0.50	       | ~ sk_P(sk_Y(X1))
0.00/0.50	       | X1 != sk_P),
0.00/0.50	    inference('sup-', [status(thm)], ['5', '28'])).
0.00/0.50	tff('30', plain,
0.00/0.50	    ![X0 : a > $o, X1 : a > $o > $o]:
0.00/0.50	      (X1 != sk_P
0.00/0.50	       | ~ sk_P(sk_Y(X1))
0.00/0.50	       | sk_P(sk_Z(X1))
0.00/0.50	       | sk_E(X1) != X0
0.00/0.50	       | sk_P(X0)),
0.00/0.50	    inference('simplify', [status(thm)], ['29'])).
0.00/0.50	tff('31', plain,
0.00/0.50	    ![X0 : a > $o > $o]:
0.00/0.50	      (sk_P(sk_E(X0)) | sk_P(sk_Z(X0)) | ~ sk_P(sk_Y(X0)) | X0 != sk_P),
0.00/0.50	    inference('eq_res', [status(thm)], ['30'])).
0.00/0.50	tff('32', plain,
0.00/0.50	    ![X1 : a > $o > $o, X2 : a]: (X1(cC) | ~ sk_E(X1, X2) | ~ X1(sk_Z(X1))),
0.00/0.50	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.50	tff('33', plain,
0.00/0.50	    ![X1 : a > $o > $o, X2 : a, X3 : a > $o > $o]:
0.00/0.50	      (X3 != X1 | X1(cC) | ~ sk_E(X3, X2) | ~ X1(sk_Z(X3))),
0.00/0.50	    inference('ho.purify_applied_variable', [status(thm)], ['32'])).
0.00/0.50	tff('34', plain,
0.00/0.50	    ![X0 : a > $o, X1 : a > $o > $o, X2 : a > $o > $o]:
0.00/0.50	      (~ $true
0.00/0.50	       | sk_P(X0)
0.00/0.50	       | sk_E(X1) != X0
0.00/0.50	       | ~ X2(sk_Z(X1))
0.00/0.50	       | X2(cC)
0.00/0.50	       | X1 != X2),
0.00/0.50	    inference('sup-', [status(thm)], ['5', '33'])).
0.00/0.50	tff('35', plain,
0.00/0.50	    ![X0 : a > $o, X1 : a > $o > $o, X2 : a > $o > $o]:
0.00/0.50	      (X1 != X2 | X2(cC) | ~ X2(sk_Z(X1)) | sk_E(X1) != X0 | sk_P(X0)),
0.00/0.50	    inference('simplify', [status(thm)], ['34'])).
0.00/0.50	tff('36', plain,
0.00/0.50	    ![X0 : a > $o > $o, X1 : a > $o > $o]:
0.00/0.50	      (sk_P(sk_E(X0)) | ~ X1(sk_Z(X0)) | X1(cC) | X0 != X1),
0.00/0.50	    inference('eq_res', [status(thm)], ['35'])).
0.00/0.50	tff('37', plain,
0.00/0.50	    ![X0 : a > $o > $o]:
0.00/0.50	      (~ $true
0.00/0.50	       | X0 != sk_P
0.00/0.50	       | ~ sk_P(sk_Y(X0))
0.00/0.50	       | sk_P(sk_E(X0))
0.00/0.50	       | X0 != sk_P
0.00/0.50	       | sk_P(cC)
0.00/0.50	       | sk_P(sk_E(X0))),
0.00/0.50	    inference('sup-', [status(thm)], ['31', '36'])).
0.00/0.50	tff('38', plain,
0.00/0.50	    ![X0 : a > $o > $o]:
0.00/0.50	      (sk_P(cC) | sk_P(sk_E(X0)) | ~ sk_P(sk_Y(X0)) | X0 != sk_P),
0.00/0.50	    inference('simplify', [status(thm)], ['37'])).
0.00/0.50	tff('39', plain,
0.00/0.50	    ![X1 : a > $o > $o, X2 : a]: (X1(cC) | ~ sk_E(X1, X2) | X1(sk_Y(X1))),
0.00/0.50	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.50	tff('40', plain,
0.00/0.50	    ![X1 : a > $o > $o, X2 : a, X3 : a > $o > $o]:
0.00/0.50	      (X3 != X1 | X1(cC) | ~ sk_E(X3, X2) | X1(sk_Y(X3))),
0.00/0.50	    inference('ho.purify_applied_variable', [status(thm)], ['39'])).
0.00/0.50	tff('41', plain,
0.00/0.50	    ![X0 : a > $o, X1 : a > $o > $o, X2 : a > $o > $o]:
0.00/0.50	      (~ $true | sk_P(X0) | sk_E(X1) != X0 | X2(sk_Y(X1)) | X2(cC) | X1 != X2),
0.00/0.50	    inference('sup-', [status(thm)], ['5', '40'])).
0.00/0.50	tff('42', plain,
0.00/0.50	    ![X0 : a > $o, X1 : a > $o > $o, X2 : a > $o > $o]:
0.00/0.50	      (X1 != X2 | X2(cC) | X2(sk_Y(X1)) | sk_E(X1) != X0 | sk_P(X0)),
0.00/0.50	    inference('simplify', [status(thm)], ['41'])).
0.00/0.50	tff('43', plain,
0.00/0.50	    ![X0 : a > $o > $o, X1 : a > $o > $o]:
0.00/0.50	      (sk_P(sk_E(X0)) | X1(sk_Y(X0)) | X1(cC) | X0 != X1),
0.00/0.50	    inference('eq_res', [status(thm)], ['42'])).
0.00/0.50	tff('44', plain,
0.00/0.50	    ![X0 : a > $o > $o]: (X0 != sk_P | sk_P(sk_E(X0)) | sk_P(cC)),
0.00/0.50	    inference('clc', [status(thm)], ['38', '43'])).
0.00/0.50	tff('45', plain,
0.00/0.50	    ![X1 : a > $o > $o, X3 : a]:
0.00/0.50	      (X1(cC)
0.00/0.50	       | ~ X1(sk_E(X1))
0.00/0.50	       | sk_Y(X1, X3)
0.00/0.50	       | X3 = sk_Xx(X1)
0.00/0.50	       | ~ sk_Z(X1, X3)),
0.00/0.50	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.50	tff('46', plain,
0.00/0.50	    ![X1 : a > $o > $o, X3 : a, X4 : a > $o > $o]:
0.00/0.50	      (X4 != X1
0.00/0.50	       | X1(cC)
0.00/0.50	       | ~ X1(sk_E(X4))
0.00/0.50	       | sk_Y(X4, X3)
0.00/0.50	       | X3 = sk_Xx(X4)
0.00/0.50	       | ~ sk_Z(X4, X3)),
0.00/0.50	    inference('ho.purify_applied_variable', [status(thm)], ['45'])).
0.00/0.50	tff('47', plain,
0.00/0.50	    ![X0 : a > $o > $o, X1 : a]:
0.00/0.50	      (~ $true
0.00/0.50	       | sk_P(cC)
0.00/0.50	       | X0 != sk_P
0.00/0.50	       | ~ sk_Z(X0, X1)
0.00/0.50	       | X1 = sk_Xx(X0)
0.00/0.50	       | sk_Y(X0, X1)
0.00/0.50	       | sk_P(cC)
0.00/0.50	       | X0 != sk_P),
0.00/0.50	    inference('sup-', [status(thm)], ['44', '46'])).
0.00/0.50	tff('48', plain,
0.00/0.50	    ![X0 : a > $o > $o, X1 : a]:
0.00/0.50	      (sk_Y(X0, X1) | X1 = sk_Xx(X0) | ~ sk_Z(X0, X1) | X0 != sk_P | sk_P(cC)),
0.00/0.50	    inference('simplify', [status(thm)], ['47'])).
0.00/0.50	tff('49', plain,
0.00/0.50	    ![X0 : a > $o > $o, X1 : a]:
0.00/0.50	      (~ $true
0.00/0.50	       | X0 != sk_P
0.00/0.50	       | ~ sk_Z(X0, X1)
0.00/0.50	       | X1 = sk_Xx(X0)
0.00/0.50	       | sk_Y(X0, X1)
0.00/0.50	       | cC != cC),
0.00/0.50	    inference('sup-', [status(thm)], ['48', '17'])).
0.00/0.50	tff('50', plain,
0.00/0.50	    ![X0 : a > $o > $o, X1 : a]:
0.00/0.50	      (sk_Y(X0, X1) | X1 = sk_Xx(X0) | ~ sk_Z(X0, X1) | X0 != sk_P),
0.00/0.50	    inference('simplify', [status(thm)], ['49'])).
0.00/0.50	tff('51', plain,
0.00/0.50	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o > $o]:
0.00/0.50	      (~ $true
0.00/0.50	       | sk_P(X2)
0.00/0.50	       | ~ sk_P(X0)
0.00/0.50	       | X2 != sk_Z(X3)
0.00/0.50	       | X3 != sk_P
0.00/0.50	       | sk_Xx_28(X2, X1, X0) = sk_Xx(X3)
0.00/0.50	       | sk_Y(X3, sk_Xx_28(X2, X1, X0))),
0.00/0.50	    inference('sup-', [status(thm)], ['3', '50'])).
0.00/0.50	tff('52', plain,
0.00/0.50	    ![X0 : a > $o, X1 : a, X2 : a > $o, X3 : a > $o > $o]:
0.00/0.50	      (sk_Y(X3, sk_Xx_28(X2, X1, X0))
0.00/0.50	       | sk_Xx_28(X2, X1, X0) = sk_Xx(X3)
0.00/0.50	       | X3 != sk_P
0.00/0.50	       | X2 != sk_Z(X3)
0.00/0.50	       | ~ sk_P(X0)
0.00/0.50	       | sk_P(X2)),
0.00/0.50	    inference('simplify', [status(thm)], ['51'])).
0.00/0.50	tff('53', plain,
0.00/0.50	    ![X0 : a > $o > $o, X1 : a > $o, X2 : a, X3 : a > $o]:
0.00/0.50	      (~ $true
0.00/0.50	       | sk_P(X3)
0.00/0.50	       | ~ sk_P(X1)
0.00/0.50	       | X3 != sk_Z(X0)
0.00/0.50	       | X0 != sk_P
0.00/0.50	       | sk_Xx_28(X3, X2, X1) = sk_Xx(X0)
0.00/0.50	       | sk_P(X3)
0.00/0.50	       | ~ sk_P(X1)
0.00/0.50	       | sk_Y(X0) != X1),
0.00/0.50	    inference('sup-', [status(thm)], ['52', '12'])).
0.00/0.50	tff('54', plain,
0.00/0.50	    ![X0 : a > $o > $o, X1 : a > $o, X2 : a, X3 : a > $o]:
0.00/0.50	      (sk_Y(X0) != X1
0.00/0.50	       | sk_Xx_28(X3, X2, X1) = sk_Xx(X0)
0.00/0.50	       | X0 != sk_P
0.00/0.50	       | X3 != sk_Z(X0)
0.00/0.50	       | ~ sk_P(X1)
0.00/0.50	       | sk_P(X3)),
0.00/0.50	    inference('simplify', [status(thm)], ['53'])).
0.00/0.50	tff('55', plain,
0.00/0.50	    ![X0 : a > $o > $o, X1 : a, X2 : a > $o, X3 : a > $o]:
0.00/0.50	      (sk_Xx(X0) != X1
0.00/0.50	       | sk_P(X3)
0.00/0.50	       | ~ sk_P(X2)
0.00/0.50	       | X3 != sk_Z(X0)
0.00/0.50	       | X0 != sk_P
0.00/0.50	       | sk_Y(X0) != X2
0.00/0.50	       | sk_P(X3)
0.00/0.50	       | ~ sk_P(X2)),
0.00/0.50	    inference('sup-', [status(thm)], ['54', '24'])).
0.00/0.50	tff('56', plain,
0.00/0.50	    ![X0 : a > $o > $o, X2 : a > $o, X3 : a > $o]:
0.00/0.50	      (sk_Y(X0) != X2 | X0 != sk_P | X3 != sk_Z(X0) | ~ sk_P(X2) | sk_P(X3)),
0.00/0.50	    inference('simplify', [status(thm)], ['55'])).
0.00/0.50	tff('57', plain,
0.00/0.50	    ![X0 : a > $o, X1 : a > $o > $o]:
0.00/0.50	      (sk_P(X0) | ~ sk_P(sk_Y(X1)) | X0 != sk_Z(X1) | X1 != sk_P),
0.00/0.50	    inference('eq_res', [status(thm)], ['56'])).
0.00/0.50	tff('58', plain,
0.00/0.50	    ![X0 : a > $o > $o]: (X0 != sk_P | ~ sk_P(sk_Y(X0)) | sk_P(sk_Z(X0))),
0.00/0.50	    inference('eq_res', [status(thm)], ['57'])).
0.00/0.50	tff('59', plain,
0.00/0.50	    ![X1 : a > $o > $o]: (X1(cC) | ~ X1(sk_E(X1)) | ~ X1(sk_Z(X1))),
0.00/0.50	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.50	tff('60', plain,
0.00/0.50	    ![X1 : a > $o > $o, X2 : a > $o > $o]:
0.00/0.50	      (X2 != X1 | X1(cC) | ~ X1(sk_E(X2)) | ~ X1(sk_Z(X2))),
0.00/0.50	    inference('ho.purify_applied_variable', [status(thm)], ['59'])).
0.00/0.50	tff('61', plain,
0.00/0.50	    ![X0 : a > $o > $o]:
0.00/0.50	      (~ $true
0.00/0.50	       | ~ sk_P(sk_Y(X0))
0.00/0.50	       | X0 != sk_P
0.00/0.50	       | ~ sk_P(sk_E(X0))
0.00/0.50	       | sk_P(cC)
0.00/0.50	       | X0 != sk_P),
0.00/0.50	    inference('sup-', [status(thm)], ['58', '60'])).
0.00/0.50	tff('62', plain,
0.00/0.50	    ![X0 : a > $o > $o]:
0.00/0.50	      (sk_P(cC) | ~ sk_P(sk_E(X0)) | X0 != sk_P | ~ sk_P(sk_Y(X0))),
0.00/0.50	    inference('simplify', [status(thm)], ['61'])).
0.00/0.50	tff('63', plain,
0.00/0.50	    ![X0 : a > $o > $o, X1 : a, X2 : a]:
0.00/0.50	      (~ $true
0.00/0.50	       | ~ sk_P(sk_Y(X0))
0.00/0.50	       | ~ sk_E(X0, X2)
0.00/0.50	       | X0 != sk_P
0.00/0.50	       | ~ sk_E(X0, X1)
0.00/0.50	       | sk_P(cC)
0.00/0.50	       | X0 != sk_P),
0.00/0.50	    inference('sup-', [status(thm)], ['28', '33'])).
0.00/0.50	tff('64', plain,
0.00/0.50	    ![X0 : a > $o > $o, X1 : a, X2 : a]:
0.00/0.50	      (sk_P(cC)
0.00/0.50	       | ~ sk_E(X0, X1)
0.00/0.50	       | X0 != sk_P
0.00/0.50	       | ~ sk_E(X0, X2)
0.00/0.50	       | ~ sk_P(sk_Y(X0))),
0.00/0.50	    inference('simplify', [status(thm)], ['63'])).
0.00/0.50	tff('65', plain,
0.00/0.50	    ![X0 : a > $o > $o, X1 : a]:
0.00/0.50	      (sk_P(cC) | ~ sk_P(sk_Y(X0)) | X0 != sk_P | ~ sk_E(X0, X1)),
0.00/0.50	    inference('condensation', [status(thm)], ['64'])).
0.00/0.50	tff('66', plain,
0.00/0.50	    ![X0 : a > $o > $o, X1 : a]: (~ sk_E(X0, X1) | X0 != sk_P | sk_P(cC)),
0.00/0.50	    inference('clc', [status(thm)], ['65', '40'])).
0.00/0.50	tff('67', plain,
0.00/0.50	    ![X0 : a > $o > $o, X1 : a]:
0.00/0.50	      (~ $true | X0 != sk_P | ~ sk_E(X0, X1) | cC != cC),
0.00/0.50	    inference('sup-', [status(thm)], ['66', '17'])).
0.00/0.50	tff('68', plain, ![X0 : a > $o > $o, X1 : a]: (~ sk_E(X0, X1) | X0 != sk_P),
0.00/0.50	    inference('simplify', [status(thm)], ['67'])).
0.00/0.50	tff('69', plain,
0.00/0.50	    ![X0 : a > $o, X1 : a > $o > $o]:
0.00/0.50	      (~ $true | sk_P(X0) | sk_E(X1) != X0 | X1 != sk_P),
0.00/0.50	    inference('sup-', [status(thm)], ['5', '68'])).
0.00/0.50	tff('70', plain,
0.00/0.50	    ![X0 : a > $o, X1 : a > $o > $o]:
0.00/0.50	      (X1 != sk_P | sk_E(X1) != X0 | sk_P(X0)),
0.00/0.50	    inference('simplify', [status(thm)], ['69'])).
0.00/0.50	tff('71', plain, ![X0 : a > $o > $o]: (sk_P(sk_E(X0)) | X0 != sk_P),
0.00/0.50	    inference('eq_res', [status(thm)], ['70'])).
0.00/0.50	tff('72', plain,
0.00/0.50	    ![X0 : a > $o > $o]: (~ sk_P(sk_Y(X0)) | X0 != sk_P | sk_P(cC)),
0.00/0.50	    inference('clc', [status(thm)], ['62', '71'])).
0.00/0.50	tff('73', plain,
0.00/0.50	    ![X0 : a > $o > $o]:
0.00/0.50	      (~ $true
0.00/0.50	       | ~ sk_P(sk_E(X0))
0.00/0.50	       | sk_P(cC)
0.00/0.50	       | X0 != sk_P
0.00/0.50	       | sk_P(cC)
0.00/0.50	       | X0 != sk_P),
0.00/0.50	    inference('sup-', [status(thm)], ['1', '72'])).
0.00/0.50	tff('74', plain,
0.00/0.50	    ![X0 : a > $o > $o]: (X0 != sk_P | sk_P(cC) | ~ sk_P(sk_E(X0))),
0.00/0.50	    inference('simplify', [status(thm)], ['73'])).
0.00/0.50	tff('75', plain, ![X0 : a > $o > $o]: (sk_P(cC) | X0 != sk_P),
0.00/0.50	    inference('clc', [status(thm)], ['74', '71'])).
0.00/0.50	tff('76', plain, sk_P(cC), inference('eq_res', [status(thm)], ['75'])).
0.00/0.50	tff('77', plain, (~ $true | cC != cC),
0.00/0.50	    inference('sup-', [status(thm)], ['76', '17'])).
0.00/0.50	tff('78', plain, $false, inference('simplify', [status(thm)], ['77'])).
0.00/0.50	
0.00/0.50	% SZS output end Refutation
0.00/0.50	EOF
