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   : n047.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 16:34:25 CST 2018
0.00/0.24	% done 99 iterations in 0.033s
0.00/0.24	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.24	% SZS output start Refutation
0.00/0.24	tff(cTHM409_6, conjecture,
0.00/0.24	  (~
0.00/0.24	    ((![Xx,Xy,Xz]: (~cQ_7(Xx,Xy,Xz))) & 
0.00/0.24	     (![Xx,Xy,Xz,Xu,Xv,Xw]:
0.00/0.24	        (cQ_7(Xu,Xv,Xw) | (~cP_6(f(Xz),Xw)) | (~cP_6(f(Xy),Xv)) | 
0.00/0.24	         (~cP_6(f(Xx),Xu)) | (~cQ_6(Xx,Xy,Xz)))) & 
0.00/0.24	     (![Xx,Xy]: (cP_6(f(Xx),Xy) | (~cP_6(Xx,Xy)))) & (![Xx]: cP_6(d,Xx)) & 
0.00/0.24	     cP_6(c,c) & cP_6(b,b) & cP_6(a,a) & 
0.00/0.24	     (![Xx,Xy,Xz,Xu,Xv,Xw]:
0.00/0.24	        (cQ_6(Xu,Xv,Xw) | (~cP_5(f(Xz),Xw)) | (~cP_5(f(Xy),Xv)) | 
0.00/0.24	         (~cP_5(f(Xx),Xu)) | (~cQ_5(Xx,Xy,Xz)))) & 
0.00/0.24	     (![Xx,Xy]: (cP_5(f(Xx),Xy) | (~cP_5(Xx,Xy)))) & (![Xx]: cP_5(d,Xx)) & 
0.00/0.24	     cP_5(c,c) & cP_5(b,b) & cP_5(a,a) & 
0.00/0.24	     (![Xx,Xy,Xz,Xu,Xv,Xw]:
0.00/0.24	        (cQ_5(Xu,Xv,Xw) | (~cP_4(f(Xz),Xw)) | (~cP_4(f(Xy),Xv)) | 
0.00/0.24	         (~cP_4(f(Xx),Xu)) | (~cQ_4(Xx,Xy,Xz)))) & 
0.00/0.24	     (![Xx,Xy]: (cP_4(f(Xx),Xy) | (~cP_4(Xx,Xy)))) & (![Xx]: cP_4(d,Xx)) & 
0.00/0.24	     cP_4(c,c) & cP_4(b,b) & cP_4(a,a) & 
0.00/0.24	     (![Xx,Xy,Xz,Xu,Xv,Xw]:
0.00/0.24	        (cQ_4(Xu,Xv,Xw) | (~cP_3(f(Xz),Xw)) | (~cP_3(f(Xy),Xv)) | 
0.00/0.24	         (~cP_3(f(Xx),Xu)) | (~cQ_3(Xx,Xy,Xz)))) & 
0.00/0.24	     (![Xx,Xy]: (cP_3(f(Xx),Xy) | (~cP_3(Xx,Xy)))) & (![Xx]: cP_3(d,Xx)) & 
0.00/0.24	     cP_3(c,c) & cP_3(b,b) & cP_3(a,a) & 
0.00/0.24	     (![Xx,Xy,Xz,Xu,Xv,Xw]:
0.00/0.24	        (cQ_3(Xu,Xv,Xw) | (~cP_2(f(Xz),Xw)) | (~cP_2(f(Xy),Xv)) | 
0.00/0.24	         (~cP_2(f(Xx),Xu)) | (~cQ_2(Xx,Xy,Xz)))) & 
0.00/0.24	     (![Xx,Xy]: (cP_2(f(Xx),Xy) | (~cP_2(Xx,Xy)))) & (![Xx]: cP_2(d,Xx)) & 
0.00/0.24	     cP_2(c,c) & cP_2(b,b) & cP_2(a,a) & 
0.00/0.24	     (![Xx,Xy,Xz,Xu,Xv,Xw]:
0.00/0.24	        (cQ_2(Xu,Xv,Xw) | (~cP_1(f(Xz),Xw)) | (~cP_1(f(Xy),Xv)) | 
0.00/0.24	         (~cP_1(f(Xx),Xu)) | (~cQ_1(Xx,Xy,Xz)))) & 
0.00/0.24	     (![Xx,Xy]: (cP_1(f(Xx),Xy) | (~cP_1(Xx,Xy)))) & (![Xx]: cP_1(d,Xx)) & 
0.00/0.24	     cP_1(c,c) & cP_1(b,b) & cP_1(a,a) & cQ_1(a,b,c)))).
0.00/0.24	tff(zf_stmt_0, negated_conjecture,
0.00/0.24	  ((![Xx,Xy,Xz]: (~cQ_7(Xx,Xy,Xz))) & 
0.00/0.24	   (![Xx,Xy,Xz,Xu,Xv,Xw]:
0.00/0.24	      (cQ_7(Xu,Xv,Xw) | (~cP_6(f(Xz),Xw)) | (~cP_6(f(Xy),Xv)) | 
0.00/0.24	       (~cP_6(f(Xx),Xu)) | (~cQ_6(Xx,Xy,Xz)))) & 
0.00/0.24	   (![Xx,Xy]: (cP_6(f(Xx),Xy) | (~cP_6(Xx,Xy)))) & (![Xx]: cP_6(d,Xx)) & 
0.00/0.24	   cP_6(c,c) & cP_6(b,b) & cP_6(a,a) & 
0.00/0.24	   (![Xx,Xy,Xz,Xu,Xv,Xw]:
0.00/0.24	      (cQ_6(Xu,Xv,Xw) | (~cP_5(f(Xz),Xw)) | (~cP_5(f(Xy),Xv)) | 
0.00/0.24	       (~cP_5(f(Xx),Xu)) | (~cQ_5(Xx,Xy,Xz)))) & 
0.00/0.24	   (![Xx,Xy]: (cP_5(f(Xx),Xy) | (~cP_5(Xx,Xy)))) & (![Xx]: cP_5(d,Xx)) & 
0.00/0.24	   cP_5(c,c) & cP_5(b,b) & cP_5(a,a) & 
0.00/0.24	   (![Xx,Xy,Xz,Xu,Xv,Xw]:
0.00/0.24	      (cQ_5(Xu,Xv,Xw) | (~cP_4(f(Xz),Xw)) | (~cP_4(f(Xy),Xv)) | 
0.00/0.24	       (~cP_4(f(Xx),Xu)) | (~cQ_4(Xx,Xy,Xz)))) & 
0.00/0.24	   (![Xx,Xy]: (cP_4(f(Xx),Xy) | (~cP_4(Xx,Xy)))) & (![Xx]: cP_4(d,Xx)) & 
0.00/0.24	   cP_4(c,c) & cP_4(b,b) & cP_4(a,a) & 
0.00/0.24	   (![Xx,Xy,Xz,Xu,Xv,Xw]:
0.00/0.24	      (cQ_4(Xu,Xv,Xw) | (~cP_3(f(Xz),Xw)) | (~cP_3(f(Xy),Xv)) | 
0.00/0.24	       (~cP_3(f(Xx),Xu)) | (~cQ_3(Xx,Xy,Xz)))) & 
0.00/0.24	   (![Xx,Xy]: (cP_3(f(Xx),Xy) | (~cP_3(Xx,Xy)))) & (![Xx]: cP_3(d,Xx)) & 
0.00/0.24	   cP_3(c,c) & cP_3(b,b) & cP_3(a,a) & 
0.00/0.24	   (![Xx,Xy,Xz,Xu,Xv,Xw]:
0.00/0.24	      (cQ_3(Xu,Xv,Xw) | (~cP_2(f(Xz),Xw)) | (~cP_2(f(Xy),Xv)) | 
0.00/0.24	       (~cP_2(f(Xx),Xu)) | (~cQ_2(Xx,Xy,Xz)))) & 
0.00/0.24	   (![Xx,Xy]: (cP_2(f(Xx),Xy) | (~cP_2(Xx,Xy)))) & (![Xx]: cP_2(d,Xx)) & 
0.00/0.24	   cP_2(c,c) & cP_2(b,b) & cP_2(a,a) & 
0.00/0.24	   (![Xx,Xy,Xz,Xu,Xv,Xw]:
0.00/0.24	      (cQ_2(Xu,Xv,Xw) | (~cP_1(f(Xz),Xw)) | (~cP_1(f(Xy),Xv)) | 
0.00/0.24	       (~cP_1(f(Xx),Xu)) | (~cQ_1(Xx,Xy,Xz)))) & 
0.00/0.24	   (![Xx,Xy]: (cP_1(f(Xx),Xy) | (~cP_1(Xx,Xy)))) & (![Xx]: cP_1(d,Xx)) & 
0.00/0.24	   cP_1(c,c) & cP_1(b,b) & cP_1(a,a) & cQ_1(a,b,c))).
0.00/0.24	tff('0', plain, cP_6(b, b), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('1', plain, cP_6(a, a), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('2', plain, cP_5(a, a), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('3', plain, cP_6(c, c), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('4', plain, ![X46, X47]: (cP_6(f(X46), X47) | ~ cP_6(X46, X47)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('5', plain, cP_4(c, c), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('6', plain, cP_5(b, b), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('7', plain, ![X37, X38]: (cP_5(f(X37), X38) | ~ cP_5(X37, X38)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('8', plain, cP_3(c, c), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('9', plain, cP_4(a, a), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('10', plain, cP_4(b, b), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('11', plain, ![X28, X29]: (cP_4(f(X28), X29) | ~ cP_4(X28, X29)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('12', plain, cP_2(c, c), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('13', plain, cP_3(b, b), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('14', plain, ![X19, X20]: (cP_3(f(X19), X20) | ~ cP_3(X19, X20)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('15', plain, cP_1(c, c), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('16', plain, cP_2(a, a), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('17', plain, cP_2(b, b), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('18', plain, ![X10, X11]: (cP_2(f(X10), X11) | ~ cP_2(X10, X11)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('19', plain, cP_1(b, b), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('20', plain, ![X1, X2]: (cP_1(f(X1), X2) | ~ cP_1(X1, X2)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('21', plain, cQ_1(a, b, c), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('22', plain,
0.00/0.24	    ![X3, X4, X5, X6, X7, X8]:
0.00/0.24	      (~ cP_1(f(X3), X4)
0.00/0.24	       | ~ cP_1(f(X5), X6)
0.00/0.24	       | ~ cQ_1(X5, X3, X7)
0.00/0.24	       | ~ cP_1(f(X7), X8)
0.00/0.24	       | cQ_2(X6, X4, X8)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('23', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4, X5]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_1(X1, X0)
0.00/0.24	       | cQ_2(X3, X0, X2)
0.00/0.24	       | ~ cP_1(f(X4), X2)
0.00/0.24	       | ~ cQ_1(X5, X1, X4)
0.00/0.24	       | ~ cP_1(f(X5), X3)),
0.00/0.24	    inference('sup-', [status(thm)], ['20', '22'])).
0.00/0.24	tff('24', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4, X5]:
0.00/0.24	      (~ cP_1(f(X5), X3)
0.00/0.24	       | ~ cQ_1(X5, X1, X4)
0.00/0.24	       | ~ cP_1(f(X4), X2)
0.00/0.24	       | cQ_2(X3, X0, X2)
0.00/0.24	       | ~ cP_1(X1, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['23'])).
0.00/0.24	tff('25', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4, X5]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_1(X1, X0)
0.00/0.24	       | ~ cP_1(X3, X2)
0.00/0.24	       | cQ_2(X0, X2, X4)
0.00/0.24	       | ~ cP_1(f(X5), X4)
0.00/0.24	       | ~ cQ_1(X1, X3, X5)),
0.00/0.24	    inference('sup-', [status(thm)], ['20', '24'])).
0.00/0.24	tff('26', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4, X5]:
0.00/0.24	      (~ cQ_1(X1, X3, X5)
0.00/0.24	       | ~ cP_1(f(X5), X4)
0.00/0.24	       | cQ_2(X0, X2, X4)
0.00/0.24	       | ~ cP_1(X3, X2)
0.00/0.24	       | ~ cP_1(X1, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['25'])).
0.00/0.24	tff('27', plain,
0.00/0.24	    ![X0, X1, X2]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_1(a, X0)
0.00/0.24	       | ~ cP_1(b, X1)
0.00/0.24	       | cQ_2(X0, X1, X2)
0.00/0.24	       | ~ cP_1(f(c), X2)),
0.00/0.24	    inference('sup-', [status(thm)], ['21', '26'])).
0.00/0.24	tff('28', plain,
0.00/0.24	    ![X0, X1, X2]:
0.00/0.24	      (~ cP_1(f(c), X2) | cQ_2(X0, X1, X2) | ~ cP_1(b, X1) | ~ cP_1(a, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['27'])).
0.00/0.24	tff('29', plain,
0.00/0.24	    ![X0, X1, X2]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_1(c, X0)
0.00/0.24	       | ~ cP_1(a, X1)
0.00/0.24	       | ~ cP_1(b, X2)
0.00/0.24	       | cQ_2(X1, X2, X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['20', '28'])).
0.00/0.24	tff('30', plain,
0.00/0.24	    ![X0, X1, X2]:
0.00/0.24	      (cQ_2(X1, X2, X0) | ~ cP_1(b, X2) | ~ cP_1(a, X1) | ~ cP_1(c, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['29'])).
0.00/0.24	tff('31', plain,
0.00/0.24	    ![X0, X1]: (~ $true | ~ cP_1(c, X0) | ~ cP_1(a, X1) | cQ_2(X1, b, X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['19', '30'])).
0.00/0.24	tff('32', plain,
0.00/0.24	    ![X0, X1]: (cQ_2(X1, b, X0) | ~ cP_1(a, X1) | ~ cP_1(c, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['31'])).
0.00/0.24	tff('33', plain,
0.00/0.24	    ![X12, X13, X14, X15, X16, X17]:
0.00/0.24	      (~ cP_2(f(X12), X13)
0.00/0.24	       | ~ cP_2(f(X14), X15)
0.00/0.24	       | ~ cQ_2(X14, X12, X16)
0.00/0.24	       | ~ cP_2(f(X16), X17)
0.00/0.24	       | cQ_3(X15, X13, X17)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('34', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4, X5]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_2(X1, X0)
0.00/0.24	       | cQ_3(X3, X0, X2)
0.00/0.24	       | ~ cP_2(f(X4), X2)
0.00/0.24	       | ~ cQ_2(X5, X1, X4)
0.00/0.24	       | ~ cP_2(f(X5), X3)),
0.00/0.24	    inference('sup-', [status(thm)], ['18', '33'])).
0.00/0.24	tff('35', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4, X5]:
0.00/0.24	      (~ cP_2(f(X5), X3)
0.00/0.24	       | ~ cQ_2(X5, X1, X4)
0.00/0.24	       | ~ cP_2(f(X4), X2)
0.00/0.24	       | cQ_3(X3, X0, X2)
0.00/0.24	       | ~ cP_2(X1, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['34'])).
0.00/0.24	tff('36', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4, X5]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_2(X1, X0)
0.00/0.24	       | ~ cP_2(X3, X2)
0.00/0.24	       | cQ_3(X0, X2, X4)
0.00/0.24	       | ~ cP_2(f(X5), X4)
0.00/0.24	       | ~ cQ_2(X1, X3, X5)),
0.00/0.24	    inference('sup-', [status(thm)], ['18', '35'])).
0.00/0.24	tff('37', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4, X5]:
0.00/0.24	      (~ cQ_2(X1, X3, X5)
0.00/0.24	       | ~ cP_2(f(X5), X4)
0.00/0.24	       | cQ_3(X0, X2, X4)
0.00/0.24	       | ~ cP_2(X3, X2)
0.00/0.24	       | ~ cP_2(X1, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['36'])).
0.00/0.24	tff('38', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_1(c, X0)
0.00/0.24	       | ~ cP_1(a, X1)
0.00/0.24	       | ~ cP_2(X1, X2)
0.00/0.24	       | ~ cP_2(b, X3)
0.00/0.24	       | cQ_3(X2, X3, X4)
0.00/0.24	       | ~ cP_2(f(X0), X4)),
0.00/0.24	    inference('sup-', [status(thm)], ['32', '37'])).
0.00/0.24	tff('39', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4]:
0.00/0.24	      (~ cP_2(f(X0), X4)
0.00/0.24	       | cQ_3(X2, X3, X4)
0.00/0.24	       | ~ cP_2(b, X3)
0.00/0.24	       | ~ cP_2(X1, X2)
0.00/0.24	       | ~ cP_1(a, X1)
0.00/0.24	       | ~ cP_1(c, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['38'])).
0.00/0.24	tff('40', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_2(X1, X0)
0.00/0.24	       | ~ cP_1(c, X1)
0.00/0.24	       | ~ cP_1(a, X2)
0.00/0.24	       | ~ cP_2(X2, X3)
0.00/0.24	       | ~ cP_2(b, X4)
0.00/0.24	       | cQ_3(X3, X4, X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['18', '39'])).
0.00/0.24	tff('41', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4]:
0.00/0.24	      (cQ_3(X3, X4, X0)
0.00/0.24	       | ~ cP_2(b, X4)
0.00/0.24	       | ~ cP_2(X2, X3)
0.00/0.24	       | ~ cP_1(a, X2)
0.00/0.24	       | ~ cP_1(c, X1)
0.00/0.24	       | ~ cP_2(X1, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['40'])).
0.00/0.24	tff('42', plain,
0.00/0.24	    ![X0, X1, X2, X3]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_2(X1, X0)
0.00/0.24	       | ~ cP_1(c, X1)
0.00/0.24	       | ~ cP_1(a, X2)
0.00/0.24	       | ~ cP_2(X2, X3)
0.00/0.24	       | cQ_3(X3, b, X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['17', '41'])).
0.00/0.24	tff('43', plain,
0.00/0.24	    ![X0, X1, X2, X3]:
0.00/0.24	      (cQ_3(X3, b, X0)
0.00/0.24	       | ~ cP_2(X2, X3)
0.00/0.24	       | ~ cP_1(a, X2)
0.00/0.24	       | ~ cP_1(c, X1)
0.00/0.24	       | ~ cP_2(X1, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['42'])).
0.00/0.24	tff('44', plain,
0.00/0.24	    ![X0, X1]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_2(X1, X0)
0.00/0.24	       | ~ cP_1(c, X1)
0.00/0.24	       | ~ cP_1(a, a)
0.00/0.24	       | cQ_3(a, b, X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['16', '43'])).
0.00/0.24	tff('45', plain, cP_1(a, a), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('46', plain,
0.00/0.24	    ![X0, X1]:
0.00/0.24	      (~ $true | ~ cP_2(X1, X0) | ~ cP_1(c, X1) | ~ $true | cQ_3(a, b, X0)),
0.00/0.24	    inference('demod', [status(thm)], ['44', '45'])).
0.00/0.24	tff('47', plain,
0.00/0.24	    ![X0, X1]: (cQ_3(a, b, X0) | ~ cP_1(c, X1) | ~ cP_2(X1, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['46'])).
0.00/0.24	tff('48', plain, ![X0]: (~ $true | ~ cP_2(c, X0) | cQ_3(a, b, X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['15', '47'])).
0.00/0.24	tff('49', plain, ![X0]: (cQ_3(a, b, X0) | ~ cP_2(c, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['48'])).
0.00/0.24	tff('50', plain,
0.00/0.24	    ![X21, X22, X23, X24, X25, X26]:
0.00/0.24	      (~ cP_3(f(X21), X22)
0.00/0.24	       | ~ cP_3(f(X23), X24)
0.00/0.24	       | ~ cQ_3(X23, X21, X25)
0.00/0.24	       | ~ cP_3(f(X25), X26)
0.00/0.24	       | cQ_4(X24, X22, X26)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('51', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4, X5]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_3(X1, X0)
0.00/0.24	       | cQ_4(X3, X0, X2)
0.00/0.24	       | ~ cP_3(f(X4), X2)
0.00/0.24	       | ~ cQ_3(X5, X1, X4)
0.00/0.24	       | ~ cP_3(f(X5), X3)),
0.00/0.24	    inference('sup-', [status(thm)], ['14', '50'])).
0.00/0.24	tff('52', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4, X5]:
0.00/0.24	      (~ cP_3(f(X5), X3)
0.00/0.24	       | ~ cQ_3(X5, X1, X4)
0.00/0.24	       | ~ cP_3(f(X4), X2)
0.00/0.24	       | cQ_4(X3, X0, X2)
0.00/0.24	       | ~ cP_3(X1, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['51'])).
0.00/0.24	tff('53', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4, X5]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_3(X1, X0)
0.00/0.24	       | ~ cP_3(X3, X2)
0.00/0.24	       | cQ_4(X0, X2, X4)
0.00/0.24	       | ~ cP_3(f(X5), X4)
0.00/0.24	       | ~ cQ_3(X1, X3, X5)),
0.00/0.24	    inference('sup-', [status(thm)], ['14', '52'])).
0.00/0.24	tff('54', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4, X5]:
0.00/0.24	      (~ cQ_3(X1, X3, X5)
0.00/0.24	       | ~ cP_3(f(X5), X4)
0.00/0.24	       | cQ_4(X0, X2, X4)
0.00/0.24	       | ~ cP_3(X3, X2)
0.00/0.24	       | ~ cP_3(X1, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['53'])).
0.00/0.24	tff('55', plain,
0.00/0.24	    ![X0, X1, X2, X3]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_2(c, X0)
0.00/0.24	       | ~ cP_3(a, X1)
0.00/0.24	       | ~ cP_3(b, X2)
0.00/0.24	       | cQ_4(X1, X2, X3)
0.00/0.24	       | ~ cP_3(f(X0), X3)),
0.00/0.24	    inference('sup-', [status(thm)], ['49', '54'])).
0.00/0.24	tff('56', plain,
0.00/0.24	    ![X0, X1, X2, X3]:
0.00/0.24	      (~ cP_3(f(X0), X3)
0.00/0.24	       | cQ_4(X1, X2, X3)
0.00/0.24	       | ~ cP_3(b, X2)
0.00/0.24	       | ~ cP_3(a, X1)
0.00/0.24	       | ~ cP_2(c, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['55'])).
0.00/0.24	tff('57', plain,
0.00/0.24	    ![X0, X1, X2, X3]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_3(X1, X0)
0.00/0.24	       | ~ cP_2(c, X1)
0.00/0.24	       | ~ cP_3(a, X2)
0.00/0.24	       | ~ cP_3(b, X3)
0.00/0.24	       | cQ_4(X2, X3, X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['14', '56'])).
0.00/0.24	tff('58', plain,
0.00/0.24	    ![X0, X1, X2, X3]:
0.00/0.24	      (cQ_4(X2, X3, X0)
0.00/0.24	       | ~ cP_3(b, X3)
0.00/0.24	       | ~ cP_3(a, X2)
0.00/0.24	       | ~ cP_2(c, X1)
0.00/0.24	       | ~ cP_3(X1, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['57'])).
0.00/0.24	tff('59', plain,
0.00/0.24	    ![X0, X1, X2]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_3(X1, X0)
0.00/0.24	       | ~ cP_2(c, X1)
0.00/0.24	       | ~ cP_3(a, X2)
0.00/0.24	       | cQ_4(X2, b, X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['13', '58'])).
0.00/0.24	tff('60', plain,
0.00/0.24	    ![X0, X1, X2]:
0.00/0.24	      (cQ_4(X2, b, X0) | ~ cP_3(a, X2) | ~ cP_2(c, X1) | ~ cP_3(X1, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['59'])).
0.00/0.24	tff('61', plain,
0.00/0.24	    ![X0, X1]: (~ $true | ~ cP_3(c, X0) | ~ cP_3(a, X1) | cQ_4(X1, b, X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['12', '60'])).
0.00/0.24	tff('62', plain,
0.00/0.24	    ![X0, X1]: (cQ_4(X1, b, X0) | ~ cP_3(a, X1) | ~ cP_3(c, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['61'])).
0.00/0.24	tff('63', plain,
0.00/0.24	    ![X30, X31, X32, X33, X34, X35]:
0.00/0.24	      (~ cP_4(f(X30), X31)
0.00/0.24	       | ~ cP_4(f(X32), X33)
0.00/0.24	       | ~ cQ_4(X32, X30, X34)
0.00/0.24	       | ~ cP_4(f(X34), X35)
0.00/0.24	       | cQ_5(X33, X31, X35)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('64', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4, X5]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_4(X1, X0)
0.00/0.24	       | cQ_5(X3, X0, X2)
0.00/0.24	       | ~ cP_4(f(X4), X2)
0.00/0.24	       | ~ cQ_4(X5, X1, X4)
0.00/0.24	       | ~ cP_4(f(X5), X3)),
0.00/0.24	    inference('sup-', [status(thm)], ['11', '63'])).
0.00/0.24	tff('65', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4, X5]:
0.00/0.24	      (~ cP_4(f(X5), X3)
0.00/0.24	       | ~ cQ_4(X5, X1, X4)
0.00/0.24	       | ~ cP_4(f(X4), X2)
0.00/0.24	       | cQ_5(X3, X0, X2)
0.00/0.24	       | ~ cP_4(X1, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['64'])).
0.00/0.24	tff('66', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4, X5]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_4(X1, X0)
0.00/0.24	       | ~ cP_4(X3, X2)
0.00/0.24	       | cQ_5(X0, X2, X4)
0.00/0.24	       | ~ cP_4(f(X5), X4)
0.00/0.24	       | ~ cQ_4(X1, X3, X5)),
0.00/0.24	    inference('sup-', [status(thm)], ['11', '65'])).
0.00/0.24	tff('67', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4, X5]:
0.00/0.24	      (~ cQ_4(X1, X3, X5)
0.00/0.24	       | ~ cP_4(f(X5), X4)
0.00/0.24	       | cQ_5(X0, X2, X4)
0.00/0.24	       | ~ cP_4(X3, X2)
0.00/0.24	       | ~ cP_4(X1, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['66'])).
0.00/0.24	tff('68', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_3(c, X0)
0.00/0.24	       | ~ cP_3(a, X1)
0.00/0.24	       | ~ cP_4(X1, X2)
0.00/0.24	       | ~ cP_4(b, X3)
0.00/0.24	       | cQ_5(X2, X3, X4)
0.00/0.24	       | ~ cP_4(f(X0), X4)),
0.00/0.24	    inference('sup-', [status(thm)], ['62', '67'])).
0.00/0.24	tff('69', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4]:
0.00/0.24	      (~ cP_4(f(X0), X4)
0.00/0.24	       | cQ_5(X2, X3, X4)
0.00/0.24	       | ~ cP_4(b, X3)
0.00/0.24	       | ~ cP_4(X1, X2)
0.00/0.24	       | ~ cP_3(a, X1)
0.00/0.24	       | ~ cP_3(c, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['68'])).
0.00/0.24	tff('70', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_4(X1, X0)
0.00/0.24	       | ~ cP_3(c, X1)
0.00/0.24	       | ~ cP_3(a, X2)
0.00/0.24	       | ~ cP_4(X2, X3)
0.00/0.24	       | ~ cP_4(b, X4)
0.00/0.24	       | cQ_5(X3, X4, X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['11', '69'])).
0.00/0.24	tff('71', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4]:
0.00/0.24	      (cQ_5(X3, X4, X0)
0.00/0.24	       | ~ cP_4(b, X4)
0.00/0.24	       | ~ cP_4(X2, X3)
0.00/0.24	       | ~ cP_3(a, X2)
0.00/0.24	       | ~ cP_3(c, X1)
0.00/0.24	       | ~ cP_4(X1, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['70'])).
0.00/0.24	tff('72', plain,
0.00/0.24	    ![X0, X1, X2, X3]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_4(X1, X0)
0.00/0.24	       | ~ cP_3(c, X1)
0.00/0.24	       | ~ cP_3(a, X2)
0.00/0.24	       | ~ cP_4(X2, X3)
0.00/0.24	       | cQ_5(X3, b, X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['10', '71'])).
0.00/0.24	tff('73', plain,
0.00/0.24	    ![X0, X1, X2, X3]:
0.00/0.24	      (cQ_5(X3, b, X0)
0.00/0.24	       | ~ cP_4(X2, X3)
0.00/0.24	       | ~ cP_3(a, X2)
0.00/0.24	       | ~ cP_3(c, X1)
0.00/0.24	       | ~ cP_4(X1, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['72'])).
0.00/0.24	tff('74', plain,
0.00/0.24	    ![X0, X1]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_4(X1, X0)
0.00/0.24	       | ~ cP_3(c, X1)
0.00/0.24	       | ~ cP_3(a, a)
0.00/0.24	       | cQ_5(a, b, X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['9', '73'])).
0.00/0.24	tff('75', plain, cP_3(a, a), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('76', plain,
0.00/0.24	    ![X0, X1]:
0.00/0.24	      (~ $true | ~ cP_4(X1, X0) | ~ cP_3(c, X1) | ~ $true | cQ_5(a, b, X0)),
0.00/0.24	    inference('demod', [status(thm)], ['74', '75'])).
0.00/0.24	tff('77', plain,
0.00/0.24	    ![X0, X1]: (cQ_5(a, b, X0) | ~ cP_3(c, X1) | ~ cP_4(X1, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['76'])).
0.00/0.24	tff('78', plain, ![X0]: (~ $true | ~ cP_4(c, X0) | cQ_5(a, b, X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['8', '77'])).
0.00/0.24	tff('79', plain, ![X0]: (cQ_5(a, b, X0) | ~ cP_4(c, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['78'])).
0.00/0.24	tff('80', plain,
0.00/0.24	    ![X39, X40, X41, X42, X43, X44]:
0.00/0.24	      (~ cP_5(f(X39), X40)
0.00/0.24	       | ~ cP_5(f(X41), X42)
0.00/0.24	       | ~ cQ_5(X41, X39, X43)
0.00/0.24	       | ~ cP_5(f(X43), X44)
0.00/0.24	       | cQ_6(X42, X40, X44)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('81', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4, X5]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_5(X1, X0)
0.00/0.24	       | cQ_6(X3, X0, X2)
0.00/0.24	       | ~ cP_5(f(X4), X2)
0.00/0.24	       | ~ cQ_5(X5, X1, X4)
0.00/0.24	       | ~ cP_5(f(X5), X3)),
0.00/0.24	    inference('sup-', [status(thm)], ['7', '80'])).
0.00/0.24	tff('82', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4, X5]:
0.00/0.24	      (~ cP_5(f(X5), X3)
0.00/0.24	       | ~ cQ_5(X5, X1, X4)
0.00/0.24	       | ~ cP_5(f(X4), X2)
0.00/0.24	       | cQ_6(X3, X0, X2)
0.00/0.24	       | ~ cP_5(X1, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['81'])).
0.00/0.24	tff('83', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4, X5]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_5(X1, X0)
0.00/0.24	       | ~ cP_5(X3, X2)
0.00/0.24	       | cQ_6(X0, X2, X4)
0.00/0.24	       | ~ cP_5(f(X5), X4)
0.00/0.24	       | ~ cQ_5(X1, X3, X5)),
0.00/0.24	    inference('sup-', [status(thm)], ['7', '82'])).
0.00/0.24	tff('84', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4, X5]:
0.00/0.24	      (~ cQ_5(X1, X3, X5)
0.00/0.24	       | ~ cP_5(f(X5), X4)
0.00/0.24	       | cQ_6(X0, X2, X4)
0.00/0.24	       | ~ cP_5(X3, X2)
0.00/0.24	       | ~ cP_5(X1, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['83'])).
0.00/0.24	tff('85', plain,
0.00/0.24	    ![X0, X1, X2, X3]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_4(c, X0)
0.00/0.24	       | ~ cP_5(a, X1)
0.00/0.24	       | ~ cP_5(b, X2)
0.00/0.24	       | cQ_6(X1, X2, X3)
0.00/0.24	       | ~ cP_5(f(X0), X3)),
0.00/0.24	    inference('sup-', [status(thm)], ['79', '84'])).
0.00/0.24	tff('86', plain,
0.00/0.24	    ![X0, X1, X2, X3]:
0.00/0.24	      (~ cP_5(f(X0), X3)
0.00/0.24	       | cQ_6(X1, X2, X3)
0.00/0.24	       | ~ cP_5(b, X2)
0.00/0.24	       | ~ cP_5(a, X1)
0.00/0.24	       | ~ cP_4(c, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['85'])).
0.00/0.24	tff('87', plain,
0.00/0.24	    ![X0, X1, X2, X3]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_5(X1, X0)
0.00/0.24	       | ~ cP_4(c, X1)
0.00/0.24	       | ~ cP_5(a, X2)
0.00/0.24	       | ~ cP_5(b, X3)
0.00/0.24	       | cQ_6(X2, X3, X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['7', '86'])).
0.00/0.24	tff('88', plain,
0.00/0.24	    ![X0, X1, X2, X3]:
0.00/0.24	      (cQ_6(X2, X3, X0)
0.00/0.24	       | ~ cP_5(b, X3)
0.00/0.24	       | ~ cP_5(a, X2)
0.00/0.24	       | ~ cP_4(c, X1)
0.00/0.24	       | ~ cP_5(X1, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['87'])).
0.00/0.24	tff('89', plain,
0.00/0.24	    ![X0, X1, X2]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_5(X1, X0)
0.00/0.24	       | ~ cP_4(c, X1)
0.00/0.24	       | ~ cP_5(a, X2)
0.00/0.24	       | cQ_6(X2, b, X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['6', '88'])).
0.00/0.24	tff('90', plain,
0.00/0.24	    ![X0, X1, X2]:
0.00/0.24	      (cQ_6(X2, b, X0) | ~ cP_5(a, X2) | ~ cP_4(c, X1) | ~ cP_5(X1, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['89'])).
0.00/0.24	tff('91', plain,
0.00/0.24	    ![X0, X1]: (~ $true | ~ cP_5(c, X0) | ~ cP_5(a, X1) | cQ_6(X1, b, X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['5', '90'])).
0.00/0.24	tff('92', plain,
0.00/0.24	    ![X0, X1]: (cQ_6(X1, b, X0) | ~ cP_5(a, X1) | ~ cP_5(c, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['91'])).
0.00/0.24	tff('93', plain,
0.00/0.24	    ![X48, X49, X50, X51, X52, X53]:
0.00/0.24	      (~ cP_6(f(X48), X49)
0.00/0.24	       | ~ cP_6(f(X50), X51)
0.00/0.24	       | ~ cQ_6(X50, X48, X52)
0.00/0.24	       | ~ cP_6(f(X52), X53)
0.00/0.24	       | cQ_7(X51, X49, X53)),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('94', plain, ![X54, X55, X56]: ~ cQ_7(X54, X55, X56),
0.00/0.24	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('95', plain,
0.00/0.24	    ![X48, X49, X50, X51, X52, X53]:
0.00/0.24	      (~ cP_6(f(X52), X53)
0.00/0.24	       | ~ cQ_6(X50, X48, X52)
0.00/0.24	       | ~ cP_6(f(X50), X51)
0.00/0.24	       | ~ cP_6(f(X48), X49)),
0.00/0.24	    inference('clc', [status(thm)], ['93', '94'])).
0.00/0.24	tff('96', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4, X5]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_6(X1, X0)
0.00/0.24	       | ~ cP_6(f(X3), X2)
0.00/0.24	       | ~ cP_6(f(X5), X4)
0.00/0.24	       | ~ cQ_6(X5, X3, X1)),
0.00/0.24	    inference('sup-', [status(thm)], ['4', '95'])).
0.00/0.24	tff('97', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4, X5]:
0.00/0.24	      (~ cQ_6(X5, X3, X1)
0.00/0.24	       | ~ cP_6(f(X5), X4)
0.00/0.24	       | ~ cP_6(f(X3), X2)
0.00/0.24	       | ~ cP_6(X1, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['96'])).
0.00/0.24	tff('98', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_5(c, X0)
0.00/0.24	       | ~ cP_5(a, X1)
0.00/0.24	       | ~ cP_6(X0, X2)
0.00/0.24	       | ~ cP_6(f(b), X3)
0.00/0.24	       | ~ cP_6(f(X1), X4)),
0.00/0.24	    inference('sup-', [status(thm)], ['92', '97'])).
0.00/0.24	tff('99', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4]:
0.00/0.24	      (~ cP_6(f(X1), X4)
0.00/0.24	       | ~ cP_6(f(b), X3)
0.00/0.24	       | ~ cP_6(X0, X2)
0.00/0.24	       | ~ cP_5(a, X1)
0.00/0.24	       | ~ cP_5(c, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['98'])).
0.00/0.24	tff('100', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_6(X1, X0)
0.00/0.24	       | ~ cP_5(c, X2)
0.00/0.24	       | ~ cP_5(a, X1)
0.00/0.24	       | ~ cP_6(X2, X3)
0.00/0.24	       | ~ cP_6(f(b), X4)),
0.00/0.24	    inference('sup-', [status(thm)], ['4', '99'])).
0.00/0.24	tff('101', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4]:
0.00/0.24	      (~ cP_6(f(b), X4)
0.00/0.24	       | ~ cP_6(X2, X3)
0.00/0.24	       | ~ cP_5(a, X1)
0.00/0.24	       | ~ cP_5(c, X2)
0.00/0.24	       | ~ cP_6(X1, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['100'])).
0.00/0.24	tff('102', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_6(b, X0)
0.00/0.24	       | ~ cP_6(X2, X1)
0.00/0.24	       | ~ cP_5(c, X3)
0.00/0.24	       | ~ cP_5(a, X2)
0.00/0.24	       | ~ cP_6(X3, X4)),
0.00/0.24	    inference('sup-', [status(thm)], ['4', '101'])).
0.00/0.24	tff('103', plain,
0.00/0.24	    ![X0, X1, X2, X3, X4]:
0.00/0.24	      (~ cP_6(X3, X4)
0.00/0.24	       | ~ cP_5(a, X2)
0.00/0.24	       | ~ cP_5(c, X3)
0.00/0.24	       | ~ cP_6(X2, X1)
0.00/0.24	       | ~ cP_6(b, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['102'])).
0.00/0.24	tff('104', plain,
0.00/0.24	    ![X0, X1, X2]:
0.00/0.24	      (~ $true
0.00/0.24	       | ~ cP_6(b, X0)
0.00/0.24	       | ~ cP_6(X2, X1)
0.00/0.24	       | ~ cP_5(c, c)
0.00/0.24	       | ~ cP_5(a, X2)),
0.00/0.24	    inference('sup-', [status(thm)], ['3', '103'])).
0.00/0.24	tff('105', plain, cP_5(c, c), inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.24	tff('106', plain,
0.00/0.24	    ![X0, X1, X2]:
0.00/0.24	      (~ $true | ~ cP_6(b, X0) | ~ cP_6(X2, X1) | ~ $true | ~ cP_5(a, X2)),
0.00/0.24	    inference('demod', [status(thm)], ['104', '105'])).
0.00/0.24	tff('107', plain,
0.00/0.24	    ![X0, X1, X2]: (~ cP_5(a, X2) | ~ cP_6(X2, X1) | ~ cP_6(b, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['106'])).
0.00/0.24	tff('108', plain, ![X0, X1]: (~ $true | ~ cP_6(b, X0) | ~ cP_6(a, X1)),
0.00/0.24	    inference('sup-', [status(thm)], ['2', '107'])).
0.00/0.24	tff('109', plain, ![X0, X1]: (~ cP_6(a, X1) | ~ cP_6(b, X0)),
0.00/0.24	    inference('simplify', [status(thm)], ['108'])).
0.00/0.24	tff('110', plain, ![X0]: (~ $true | ~ cP_6(b, X0)),
0.00/0.24	    inference('sup-', [status(thm)], ['1', '109'])).
0.00/0.24	tff('111', plain, ![X0]: ~ cP_6(b, X0),
0.00/0.24	    inference('simplify', [status(thm)], ['110'])).
0.00/0.24	tff('112', plain, ~ $true, inference('sup-', [status(thm)], ['0', '111'])).
0.00/0.24	tff('113', plain, $false, inference('simplify', [status(thm)], ['112'])).
0.00/0.24	
0.00/0.24	% SZS output end Refutation
0.00/0.24	EOF
