0.00/0.00	% File    : /export/starexec/sandbox/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : fo
0.00/0.00	% Ordering    : rpo6
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-ho \
0.00/0.00	  --no-avatar \
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	  --no-max-vars \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n058.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 16:24:39 CST 2018
182.44/182.80	% done 43236 iterations in 182.596s
182.44/182.80	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
182.44/182.80	% SZS output start Refutation
182.54/182.80	tff(cTHM409_5, conjecture,
182.54/182.80	  (~
182.54/182.80	    ((![Xx,Xy,Xz]: (~cQ_6(Xx,Xy,Xz))) & 
182.54/182.80	     (![Xx,Xy,Xz,Xu,Xv,Xw]:
182.54/182.80	        (cQ_6(Xu,Xv,Xw) | (~cP_5(f(Xz),Xw)) | (~cP_5(f(Xy),Xv)) | 
182.54/182.80	         (~cP_5(f(Xx),Xu)) | (~cQ_5(Xx,Xy,Xz)))) & 
182.54/182.80	     (![Xx,Xy]: (cP_5(f(Xx),Xy) | (~cP_5(Xx,Xy)))) & (![Xx]: cP_5(d,Xx)) & 
182.54/182.80	     cP_5(c,c) & cP_5(b,b) & cP_5(a,a) & 
182.54/182.80	     (![Xx,Xy,Xz,Xu,Xv,Xw]:
182.54/182.80	        (cQ_5(Xu,Xv,Xw) | (~cP_4(f(Xz),Xw)) | (~cP_4(f(Xy),Xv)) | 
182.54/182.80	         (~cP_4(f(Xx),Xu)) | (~cQ_4(Xx,Xy,Xz)))) & 
182.54/182.80	     (![Xx,Xy]: (cP_4(f(Xx),Xy) | (~cP_4(Xx,Xy)))) & (![Xx]: cP_4(d,Xx)) & 
182.54/182.80	     cP_4(c,c) & cP_4(b,b) & cP_4(a,a) & 
182.54/182.80	     (![Xx,Xy,Xz,Xu,Xv,Xw]:
182.54/182.80	        (cQ_4(Xu,Xv,Xw) | (~cP_3(f(Xz),Xw)) | (~cP_3(f(Xy),Xv)) | 
182.54/182.80	         (~cP_3(f(Xx),Xu)) | (~cQ_3(Xx,Xy,Xz)))) & 
182.54/182.80	     (![Xx,Xy]: (cP_3(f(Xx),Xy) | (~cP_3(Xx,Xy)))) & (![Xx]: cP_3(d,Xx)) & 
182.54/182.80	     cP_3(c,c) & cP_3(b,b) & cP_3(a,a) & 
182.54/182.80	     (![Xx,Xy,Xz,Xu,Xv,Xw]:
182.54/182.80	        (cQ_3(Xu,Xv,Xw) | (~cP_2(f(Xz),Xw)) | (~cP_2(f(Xy),Xv)) | 
182.54/182.80	         (~cP_2(f(Xx),Xu)) | (~cQ_2(Xx,Xy,Xz)))) & 
182.54/182.80	     (![Xx,Xy]: (cP_2(f(Xx),Xy) | (~cP_2(Xx,Xy)))) & (![Xx]: cP_2(d,Xx)) & 
182.54/182.80	     cP_2(c,c) & cP_2(b,b) & cP_2(a,a) & 
182.54/182.80	     (![Xx,Xy,Xz,Xu,Xv,Xw]:
182.54/182.80	        (cQ_2(Xu,Xv,Xw) | (~cP_1(f(Xz),Xw)) | (~cP_1(f(Xy),Xv)) | 
182.54/182.80	         (~cP_1(f(Xx),Xu)) | (~cQ_1(Xx,Xy,Xz)))) & 
182.54/182.80	     (![Xx,Xy]: (cP_1(f(Xx),Xy) | (~cP_1(Xx,Xy)))) & (![Xx]: cP_1(d,Xx)) & 
182.54/182.80	     cP_1(c,c) & cP_1(b,b) & cP_1(a,a) & cQ_1(a,b,c)))).
182.54/182.80	tff(zf_stmt_0, negated_conjecture,
182.54/182.80	  ((![Xx,Xy,Xz]: (~cQ_6(Xx,Xy,Xz))) & 
182.54/182.80	   (![Xx,Xy,Xz,Xu,Xv,Xw]:
182.54/182.80	      (cQ_6(Xu,Xv,Xw) | (~cP_5(f(Xz),Xw)) | (~cP_5(f(Xy),Xv)) | 
182.54/182.80	       (~cP_5(f(Xx),Xu)) | (~cQ_5(Xx,Xy,Xz)))) & 
182.54/182.80	   (![Xx,Xy]: (cP_5(f(Xx),Xy) | (~cP_5(Xx,Xy)))) & (![Xx]: cP_5(d,Xx)) & 
182.54/182.80	   cP_5(c,c) & cP_5(b,b) & cP_5(a,a) & 
182.54/182.80	   (![Xx,Xy,Xz,Xu,Xv,Xw]:
182.54/182.80	      (cQ_5(Xu,Xv,Xw) | (~cP_4(f(Xz),Xw)) | (~cP_4(f(Xy),Xv)) | 
182.54/182.80	       (~cP_4(f(Xx),Xu)) | (~cQ_4(Xx,Xy,Xz)))) & 
182.54/182.80	   (![Xx,Xy]: (cP_4(f(Xx),Xy) | (~cP_4(Xx,Xy)))) & (![Xx]: cP_4(d,Xx)) & 
182.54/182.80	   cP_4(c,c) & cP_4(b,b) & cP_4(a,a) & 
182.54/182.80	   (![Xx,Xy,Xz,Xu,Xv,Xw]:
182.54/182.80	      (cQ_4(Xu,Xv,Xw) | (~cP_3(f(Xz),Xw)) | (~cP_3(f(Xy),Xv)) | 
182.54/182.80	       (~cP_3(f(Xx),Xu)) | (~cQ_3(Xx,Xy,Xz)))) & 
182.54/182.80	   (![Xx,Xy]: (cP_3(f(Xx),Xy) | (~cP_3(Xx,Xy)))) & (![Xx]: cP_3(d,Xx)) & 
182.54/182.80	   cP_3(c,c) & cP_3(b,b) & cP_3(a,a) & 
182.54/182.80	   (![Xx,Xy,Xz,Xu,Xv,Xw]:
182.54/182.80	      (cQ_3(Xu,Xv,Xw) | (~cP_2(f(Xz),Xw)) | (~cP_2(f(Xy),Xv)) | 
182.54/182.80	       (~cP_2(f(Xx),Xu)) | (~cQ_2(Xx,Xy,Xz)))) & 
182.54/182.80	   (![Xx,Xy]: (cP_2(f(Xx),Xy) | (~cP_2(Xx,Xy)))) & (![Xx]: cP_2(d,Xx)) & 
182.54/182.80	   cP_2(c,c) & cP_2(b,b) & cP_2(a,a) & 
182.54/182.80	   (![Xx,Xy,Xz,Xu,Xv,Xw]:
182.54/182.80	      (cQ_2(Xu,Xv,Xw) | (~cP_1(f(Xz),Xw)) | (~cP_1(f(Xy),Xv)) | 
182.54/182.80	       (~cP_1(f(Xx),Xu)) | (~cQ_1(Xx,Xy,Xz)))) & 
182.54/182.80	   (![Xx,Xy]: (cP_1(f(Xx),Xy) | (~cP_1(Xx,Xy)))) & (![Xx]: cP_1(d,Xx)) & 
182.54/182.80	   cP_1(c,c) & cP_1(b,b) & cP_1(a,a) & cQ_1(a,b,c))).
182.54/182.80	tff('0', plain, ![X1, X2]: (cP_1(f(X1), X2) | ~ cP_1(X1, X2)),
182.54/182.80	    inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.80	tff('1', plain, ![X19, X20]: (cP_3(f(X19), X20) | ~ cP_3(X19, X20)),
182.54/182.80	    inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.80	tff('2', plain, cP_5(b, b), inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.80	tff('3', plain, cP_5(a, a), inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.80	tff('4', plain, cP_5(c, c), inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.80	tff('5', plain, ![X37, X38]: (cP_5(f(X37), X38) | ~ cP_5(X37, X38)),
182.54/182.80	    inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.80	tff('6', plain, cP_4(c, c), inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.80	tff('7', plain, cP_4(a, a), inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.80	tff('8', plain, cP_4(b, b), inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.80	tff('9', plain, ![X28, X29]: (cP_4(f(X28), X29) | ~ cP_4(X28, X29)),
182.54/182.80	    inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.80	tff('10', plain, cP_2(c, c), inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.80	tff('11', plain, cP_2(a, a), inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.80	tff('12', plain, cP_2(b, b), inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.80	tff('13', plain, ![X10, X11]: (cP_2(f(X10), X11) | ~ cP_2(X10, X11)),
182.54/182.80	    inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.80	tff('14', plain, cQ_1(a, b, c), inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.81	tff('15', plain,
182.54/182.81	    ![X3, X4, X5, X6, X7, X8]:
182.54/182.81	      (~ cP_1(f(X3), X4)
182.54/182.81	       | ~ cP_1(f(X5), X6)
182.54/182.81	       | ~ cQ_1(X5, X3, X7)
182.54/182.81	       | ~ cP_1(f(X7), X8)
182.54/182.81	       | cQ_2(X6, X4, X8)),
182.54/182.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.81	tff('16', plain,
182.54/182.81	    ![X0, X1, X2, X3, X4, X5]:
182.54/182.81	      (~ $true
182.54/182.81	       | ~ cP_1(X1, X0)
182.54/182.81	       | cQ_2(X3, X0, X2)
182.54/182.81	       | ~ cP_1(f(X4), X2)
182.54/182.81	       | ~ cQ_1(X5, X1, X4)
182.54/182.81	       | ~ cP_1(f(X5), X3)),
182.54/182.81	    inference('sup-', [status(thm)], ['0', '15'])).
182.54/182.81	tff('17', plain,
182.54/182.81	    ![X0, X1, X2, X3, X4, X5]:
182.54/182.81	      (~ cP_1(f(X5), X3)
182.54/182.81	       | ~ cQ_1(X5, X1, X4)
182.54/182.81	       | ~ cP_1(f(X4), X2)
182.54/182.81	       | cQ_2(X3, X0, X2)
182.54/182.81	       | ~ cP_1(X1, X0)),
182.54/182.81	    inference('simplify', [status(thm)], ['16'])).
182.54/182.81	tff('18', plain,
182.54/182.81	    ![X0, X1, X2, X3, X4, X5]:
182.54/182.81	      (~ $true
182.54/182.81	       | ~ cP_1(X1, X0)
182.54/182.81	       | ~ cP_1(X3, X2)
182.54/182.81	       | cQ_2(X0, X2, X4)
182.54/182.81	       | ~ cP_1(f(X5), X4)
182.54/182.81	       | ~ cQ_1(X1, X3, X5)),
182.54/182.81	    inference('sup-', [status(thm)], ['0', '17'])).
182.54/182.81	tff('19', plain,
182.54/182.81	    ![X0, X1, X2, X3, X4, X5]:
182.54/182.81	      (~ cQ_1(X1, X3, X5)
182.54/182.81	       | ~ cP_1(f(X5), X4)
182.54/182.81	       | cQ_2(X0, X2, X4)
182.54/182.81	       | ~ cP_1(X3, X2)
182.54/182.81	       | ~ cP_1(X1, X0)),
182.54/182.81	    inference('simplify', [status(thm)], ['18'])).
182.54/182.81	tff('20', plain,
182.54/182.81	    ![X0, X1, X2]:
182.54/182.81	      (~ $true
182.54/182.81	       | ~ cP_1(a, X0)
182.54/182.81	       | ~ cP_1(b, X1)
182.54/182.81	       | cQ_2(X0, X1, X2)
182.54/182.81	       | ~ cP_1(f(c), X2)),
182.54/182.81	    inference('sup-', [status(thm)], ['14', '19'])).
182.54/182.81	tff('21', plain,
182.54/182.81	    ![X0, X1, X2]:
182.54/182.81	      (~ cP_1(f(c), X2) | cQ_2(X0, X1, X2) | ~ cP_1(b, X1) | ~ cP_1(a, X0)),
182.54/182.81	    inference('simplify', [status(thm)], ['20'])).
182.54/182.81	tff('22', plain,
182.54/182.81	    ![X12, X13, X14, X15, X16, X17]:
182.54/182.81	      (~ cP_2(f(X12), X13)
182.54/182.81	       | ~ cP_2(f(X14), X15)
182.54/182.81	       | ~ cQ_2(X14, X12, X16)
182.54/182.81	       | ~ cP_2(f(X16), X17)
182.54/182.81	       | cQ_3(X15, X13, X17)),
182.54/182.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.81	tff('23', plain,
182.54/182.81	    ![X0, X1, X2, X3, X4, X5]:
182.54/182.81	      (~ $true
182.54/182.81	       | ~ cP_2(X1, X0)
182.54/182.81	       | cQ_3(X3, X0, X2)
182.54/182.81	       | ~ cP_2(f(X4), X2)
182.54/182.81	       | ~ cQ_2(X5, X1, X4)
182.54/182.81	       | ~ cP_2(f(X5), X3)),
182.54/182.81	    inference('sup-', [status(thm)], ['13', '22'])).
182.54/182.81	tff('24', plain,
182.54/182.81	    ![X0, X1, X2, X3, X4, X5]:
182.54/182.81	      (~ cP_2(f(X5), X3)
182.54/182.81	       | ~ cQ_2(X5, X1, X4)
182.54/182.81	       | ~ cP_2(f(X4), X2)
182.54/182.81	       | cQ_3(X3, X0, X2)
182.54/182.81	       | ~ cP_2(X1, X0)),
182.54/182.81	    inference('simplify', [status(thm)], ['23'])).
182.54/182.81	tff('25', plain,
182.54/182.81	    ![X0, X1, X2, X3, X4, X5]:
182.54/182.81	      (~ $true
182.54/182.81	       | ~ cP_2(X1, X0)
182.54/182.81	       | ~ cP_2(X3, X2)
182.54/182.81	       | cQ_3(X0, X2, X4)
182.54/182.81	       | ~ cP_2(f(X5), X4)
182.54/182.81	       | ~ cQ_2(X1, X3, X5)),
182.54/182.81	    inference('sup-', [status(thm)], ['13', '24'])).
182.54/182.81	tff('26', plain,
182.54/182.81	    ![X0, X1, X2, X3, X4, X5]:
182.54/182.81	      (~ cQ_2(X1, X3, X5)
182.54/182.81	       | ~ cP_2(f(X5), X4)
182.54/182.81	       | cQ_3(X0, X2, X4)
182.54/182.81	       | ~ cP_2(X3, X2)
182.54/182.81	       | ~ cP_2(X1, X0)),
182.54/182.81	    inference('simplify', [status(thm)], ['25'])).
182.54/182.81	tff('27', plain,
182.54/182.81	    ![X0, X1, X2, X3, X4, X5]:
182.54/182.81	      (~ $true
182.54/182.81	       | ~ cP_1(a, X2)
182.54/182.81	       | ~ cP_1(b, X1)
182.54/182.81	       | ~ cP_1(f(c), X0)
182.54/182.81	       | ~ cP_2(X2, X3)
182.54/182.81	       | ~ cP_2(X1, X4)
182.54/182.81	       | cQ_3(X3, X4, X5)
182.54/182.81	       | ~ cP_2(f(X0), X5)),
182.54/182.81	    inference('sup-', [status(thm)], ['21', '26'])).
182.54/182.81	tff('28', plain,
182.54/182.81	    ![X0, X1, X2, X3, X4, X5]:
182.54/182.81	      (~ cP_2(f(X0), X5)
182.54/182.81	       | cQ_3(X3, X4, X5)
182.54/182.81	       | ~ cP_2(X1, X4)
182.54/182.81	       | ~ cP_2(X2, X3)
182.54/182.81	       | ~ cP_1(f(c), X0)
182.54/182.81	       | ~ cP_1(b, X1)
182.54/182.81	       | ~ cP_1(a, X2)),
182.54/182.81	    inference('simplify', [status(thm)], ['27'])).
182.54/182.81	tff('29', plain,
182.54/182.81	    ![X0, X1, X2, X3, X4, X5]:
182.54/182.81	      (~ $true
182.54/182.81	       | ~ cP_2(X1, X0)
182.54/182.81	       | ~ cP_1(a, X2)
182.54/182.81	       | ~ cP_1(b, X3)
182.54/182.81	       | ~ cP_1(f(c), X1)
182.54/182.81	       | ~ cP_2(X2, X4)
182.54/182.81	       | ~ cP_2(X3, X5)
182.54/182.81	       | cQ_3(X4, X5, X0)),
182.54/182.81	    inference('sup-', [status(thm)], ['13', '28'])).
182.54/182.81	tff('30', plain,
182.54/182.81	    ![X0, X1, X2, X3, X4, X5]:
182.54/182.81	      (cQ_3(X4, X5, X0)
182.54/182.81	       | ~ cP_2(X3, X5)
182.54/182.81	       | ~ cP_2(X2, X4)
182.54/182.81	       | ~ cP_1(f(c), X1)
182.54/182.81	       | ~ cP_1(b, X3)
182.54/182.81	       | ~ cP_1(a, X2)
182.54/182.81	       | ~ cP_2(X1, X0)),
182.54/182.81	    inference('simplify', [status(thm)], ['29'])).
182.54/182.81	tff('31', plain,
182.54/182.81	    ![X0, X1, X2, X3]:
182.54/182.81	      (~ $true
182.54/182.81	       | ~ cP_2(X1, X0)
182.54/182.81	       | ~ cP_1(a, X2)
182.54/182.81	       | ~ cP_1(b, b)
182.54/182.81	       | ~ cP_1(f(c), X1)
182.54/182.81	       | ~ cP_2(X2, X3)
182.54/182.81	       | cQ_3(X3, b, X0)),
182.54/182.81	    inference('sup-', [status(thm)], ['12', '30'])).
182.54/182.81	tff('32', plain, cP_1(b, b), inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.81	tff('33', plain,
182.54/182.81	    ![X0, X1, X2, X3]:
182.54/182.81	      (~ $true
182.54/182.81	       | ~ cP_2(X1, X0)
182.54/182.81	       | ~ cP_1(a, X2)
182.54/182.81	       | ~ $true
182.54/182.81	       | ~ cP_1(f(c), X1)
182.54/182.81	       | ~ cP_2(X2, X3)
182.54/182.81	       | cQ_3(X3, b, X0)),
182.54/182.81	    inference('demod', [status(thm)], ['31', '32'])).
182.54/182.81	tff('34', plain,
182.54/182.81	    ![X0, X1, X2, X3]:
182.54/182.81	      (cQ_3(X3, b, X0)
182.54/182.81	       | ~ cP_2(X2, X3)
182.54/182.81	       | ~ cP_1(f(c), X1)
182.54/182.81	       | ~ cP_1(a, X2)
182.54/182.81	       | ~ cP_2(X1, X0)),
182.54/182.81	    inference('simplify', [status(thm)], ['33'])).
182.54/182.81	tff('35', plain,
182.54/182.81	    ![X0, X1]:
182.54/182.81	      (~ $true
182.54/182.81	       | ~ cP_2(X1, X0)
182.54/182.81	       | ~ cP_1(a, a)
182.54/182.81	       | ~ cP_1(f(c), X1)
182.54/182.81	       | cQ_3(a, b, X0)),
182.54/182.81	    inference('sup-', [status(thm)], ['11', '34'])).
182.54/182.81	tff('36', plain, cP_1(a, a), inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.81	tff('37', plain,
182.54/182.81	    ![X0, X1]:
182.54/182.81	      (~ $true | ~ cP_2(X1, X0) | ~ $true | ~ cP_1(f(c), X1) | cQ_3(a, b, X0)),
182.54/182.81	    inference('demod', [status(thm)], ['35', '36'])).
182.54/182.81	tff('38', plain,
182.54/182.81	    ![X0, X1]: (cQ_3(a, b, X0) | ~ cP_1(f(c), X1) | ~ cP_2(X1, X0)),
182.54/182.81	    inference('simplify', [status(thm)], ['37'])).
182.54/182.81	tff('39', plain, (~ $true | ~ cP_1(f(c), c) | cQ_3(a, b, c)),
182.54/182.81	    inference('sup-', [status(thm)], ['10', '38'])).
182.54/182.81	tff('40', plain, (cQ_3(a, b, c) | ~ cP_1(f(c), c)),
182.54/182.81	    inference('simplify', [status(thm)], ['39'])).
182.54/182.81	tff('41', plain,
182.54/182.81	    ![X21, X22, X23, X24, X25, X26]:
182.54/182.81	      (~ cP_3(f(X21), X22)
182.54/182.81	       | ~ cP_3(f(X23), X24)
182.54/182.81	       | ~ cQ_3(X23, X21, X25)
182.54/182.81	       | ~ cP_3(f(X25), X26)
182.54/182.81	       | cQ_4(X24, X22, X26)),
182.54/182.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.81	tff('42', plain,
182.54/182.81	    ![X0, X1, X2, X3, X4, X5]:
182.54/182.81	      (~ $true
182.54/182.81	       | ~ cP_3(X1, X0)
182.54/182.81	       | cQ_4(X3, X0, X2)
182.54/182.81	       | ~ cP_3(f(X4), X2)
182.54/182.81	       | ~ cQ_3(X5, X1, X4)
182.54/182.81	       | ~ cP_3(f(X5), X3)),
182.54/182.81	    inference('sup-', [status(thm)], ['1', '41'])).
182.54/182.81	tff('43', plain,
182.54/182.81	    ![X0, X1, X2, X3, X4, X5]:
182.54/182.81	      (~ cP_3(f(X5), X3)
182.54/182.81	       | ~ cQ_3(X5, X1, X4)
182.54/182.81	       | ~ cP_3(f(X4), X2)
182.54/182.81	       | cQ_4(X3, X0, X2)
182.54/182.81	       | ~ cP_3(X1, X0)),
182.54/182.81	    inference('simplify', [status(thm)], ['42'])).
182.54/182.81	tff('44', plain,
182.54/182.81	    ![X0, X1, X2, X3, X4, X5]:
182.54/182.81	      (~ $true
182.54/182.81	       | ~ cP_3(X1, X0)
182.54/182.81	       | ~ cP_3(X3, X2)
182.54/182.81	       | cQ_4(X0, X2, X4)
182.54/182.81	       | ~ cP_3(f(X5), X4)
182.54/182.81	       | ~ cQ_3(X1, X3, X5)),
182.54/182.81	    inference('sup-', [status(thm)], ['1', '43'])).
182.54/182.81	tff('45', plain,
182.54/182.81	    ![X0, X1, X2, X3, X4, X5]:
182.54/182.81	      (~ cQ_3(X1, X3, X5)
182.54/182.81	       | ~ cP_3(f(X5), X4)
182.54/182.81	       | cQ_4(X0, X2, X4)
182.54/182.81	       | ~ cP_3(X3, X2)
182.54/182.81	       | ~ cP_3(X1, X0)),
182.54/182.81	    inference('simplify', [status(thm)], ['44'])).
182.54/182.81	tff('46', plain,
182.54/182.81	    ![X0, X1, X2]:
182.54/182.81	      (~ $true
182.54/182.81	       | ~ cP_1(f(c), c)
182.54/182.81	       | ~ cP_3(a, X0)
182.54/182.81	       | ~ cP_3(b, X1)
182.54/182.81	       | cQ_4(X0, X1, X2)
182.54/182.81	       | ~ cP_3(f(c), X2)),
182.54/182.81	    inference('sup-', [status(thm)], ['40', '45'])).
182.54/182.81	tff('47', plain,
182.54/182.81	    ![X0, X1, X2]:
182.54/182.81	      (~ cP_3(f(c), X2)
182.54/182.81	       | cQ_4(X0, X1, X2)
182.54/182.81	       | ~ cP_3(b, X1)
182.54/182.81	       | ~ cP_3(a, X0)
182.54/182.81	       | ~ cP_1(f(c), c)),
182.54/182.81	    inference('simplify', [status(thm)], ['46'])).
182.54/182.81	tff('48', plain,
182.54/182.81	    ![X30, X31, X32, X33, X34, X35]:
182.54/182.81	      (~ cP_4(f(X30), X31)
182.54/182.81	       | ~ cP_4(f(X32), X33)
182.54/182.81	       | ~ cQ_4(X32, X30, X34)
182.54/182.81	       | ~ cP_4(f(X34), X35)
182.54/182.81	       | cQ_5(X33, X31, X35)),
182.54/182.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.81	tff('49', plain,
182.54/182.81	    ![X0, X1, X2, X3, X4, X5]:
182.54/182.81	      (~ $true
182.54/182.81	       | ~ cP_4(X1, X0)
182.54/182.81	       | cQ_5(X3, X0, X2)
182.54/182.81	       | ~ cP_4(f(X4), X2)
182.54/182.81	       | ~ cQ_4(X5, X1, X4)
182.54/182.81	       | ~ cP_4(f(X5), X3)),
182.54/182.81	    inference('sup-', [status(thm)], ['9', '48'])).
182.54/182.81	tff('50', plain,
182.54/182.81	    ![X0, X1, X2, X3, X4, X5]:
182.54/182.81	      (~ cP_4(f(X5), X3)
182.54/182.81	       | ~ cQ_4(X5, X1, X4)
182.54/182.81	       | ~ cP_4(f(X4), X2)
182.54/182.81	       | cQ_5(X3, X0, X2)
182.54/182.81	       | ~ cP_4(X1, X0)),
182.54/182.81	    inference('simplify', [status(thm)], ['49'])).
182.54/182.81	tff('51', plain,
182.54/182.81	    ![X0, X1, X2, X3, X4, X5]:
182.54/182.81	      (~ $true
182.54/182.81	       | ~ cP_4(X1, X0)
182.54/182.81	       | ~ cP_4(X3, X2)
182.54/182.81	       | cQ_5(X0, X2, X4)
182.54/182.81	       | ~ cP_4(f(X5), X4)
182.54/182.81	       | ~ cQ_4(X1, X3, X5)),
182.54/182.81	    inference('sup-', [status(thm)], ['9', '50'])).
182.54/182.81	tff('52', plain,
182.54/182.81	    ![X0, X1, X2, X3, X4, X5]:
182.54/182.81	      (~ cQ_4(X1, X3, X5)
182.54/182.81	       | ~ cP_4(f(X5), X4)
182.54/182.81	       | cQ_5(X0, X2, X4)
182.54/182.81	       | ~ cP_4(X3, X2)
182.54/182.81	       | ~ cP_4(X1, X0)),
182.54/182.81	    inference('simplify', [status(thm)], ['51'])).
182.54/182.81	tff('53', plain,
182.54/182.81	    ![X0, X1, X2, X3, X4, X5]:
182.54/182.81	      (~ $true
182.54/182.81	       | ~ cP_1(f(c), c)
182.54/182.81	       | ~ cP_3(a, X2)
182.54/182.81	       | ~ cP_3(b, X1)
182.54/182.81	       | ~ cP_3(f(c), X0)
182.54/182.81	       | ~ cP_4(X2, X3)
182.54/182.81	       | ~ cP_4(X1, X4)
182.54/182.81	       | cQ_5(X3, X4, X5)
182.54/182.81	       | ~ cP_4(f(X0), X5)),
182.54/182.81	    inference('sup-', [status(thm)], ['47', '52'])).
182.54/182.81	tff('54', plain,
182.54/182.81	    ![X0, X1, X2, X3, X4, X5]:
182.54/182.81	      (~ cP_4(f(X0), X5)
182.54/182.81	       | cQ_5(X3, X4, X5)
182.54/182.81	       | ~ cP_4(X1, X4)
182.54/182.81	       | ~ cP_4(X2, X3)
182.54/182.81	       | ~ cP_3(f(c), X0)
182.54/182.81	       | ~ cP_3(b, X1)
182.54/182.81	       | ~ cP_3(a, X2)
182.54/182.81	       | ~ cP_1(f(c), c)),
182.54/182.81	    inference('simplify', [status(thm)], ['53'])).
182.54/182.81	tff('55', plain,
182.54/182.81	    ![X0, X1, X2, X3, X4, X5]:
182.54/182.81	      (~ $true
182.54/182.81	       | ~ cP_4(X1, X0)
182.54/182.81	       | ~ cP_1(f(c), c)
182.54/182.81	       | ~ cP_3(a, X2)
182.54/182.81	       | ~ cP_3(b, X3)
182.54/182.81	       | ~ cP_3(f(c), X1)
182.54/182.81	       | ~ cP_4(X2, X4)
182.54/182.81	       | ~ cP_4(X3, X5)
182.54/182.81	       | cQ_5(X4, X5, X0)),
182.54/182.81	    inference('sup-', [status(thm)], ['9', '54'])).
182.54/182.81	tff('56', plain,
182.54/182.81	    ![X0, X1, X2, X3, X4, X5]:
182.54/182.81	      (cQ_5(X4, X5, X0)
182.54/182.81	       | ~ cP_4(X3, X5)
182.54/182.81	       | ~ cP_4(X2, X4)
182.54/182.81	       | ~ cP_3(f(c), X1)
182.54/182.81	       | ~ cP_3(b, X3)
182.54/182.81	       | ~ cP_3(a, X2)
182.54/182.81	       | ~ cP_1(f(c), c)
182.54/182.81	       | ~ cP_4(X1, X0)),
182.54/182.81	    inference('simplify', [status(thm)], ['55'])).
182.54/182.81	tff('57', plain,
182.54/182.81	    ![X0, X1, X2, X3]:
182.54/182.81	      (~ $true
182.54/182.81	       | ~ cP_4(X1, X0)
182.54/182.81	       | ~ cP_1(f(c), c)
182.54/182.81	       | ~ cP_3(a, X2)
182.54/182.81	       | ~ cP_3(b, b)
182.54/182.81	       | ~ cP_3(f(c), X1)
182.54/182.81	       | ~ cP_4(X2, X3)
182.54/182.81	       | cQ_5(X3, b, X0)),
182.54/182.81	    inference('sup-', [status(thm)], ['8', '56'])).
182.54/182.81	tff('58', plain, cP_3(b, b), inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.81	tff('59', plain,
182.54/182.81	    ![X0, X1, X2, X3]:
182.54/182.81	      (~ $true
182.54/182.81	       | ~ cP_4(X1, X0)
182.54/182.81	       | ~ cP_1(f(c), c)
182.54/182.81	       | ~ cP_3(a, X2)
182.54/182.81	       | ~ $true
182.54/182.81	       | ~ cP_3(f(c), X1)
182.54/182.81	       | ~ cP_4(X2, X3)
182.54/182.81	       | cQ_5(X3, b, X0)),
182.54/182.81	    inference('demod', [status(thm)], ['57', '58'])).
182.54/182.81	tff('60', plain,
182.54/182.81	    ![X0, X1, X2, X3]:
182.54/182.81	      (cQ_5(X3, b, X0)
182.54/182.81	       | ~ cP_4(X2, X3)
182.54/182.81	       | ~ cP_3(f(c), X1)
182.54/182.81	       | ~ cP_3(a, X2)
182.54/182.81	       | ~ cP_1(f(c), c)
182.54/182.81	       | ~ cP_4(X1, X0)),
182.54/182.81	    inference('simplify', [status(thm)], ['59'])).
182.54/182.81	tff('61', plain,
182.54/182.81	    ![X0, X1]:
182.54/182.81	      (~ $true
182.54/182.81	       | ~ cP_4(X1, X0)
182.54/182.81	       | ~ cP_1(f(c), c)
182.54/182.81	       | ~ cP_3(a, a)
182.54/182.81	       | ~ cP_3(f(c), X1)
182.54/182.81	       | cQ_5(a, b, X0)),
182.54/182.81	    inference('sup-', [status(thm)], ['7', '60'])).
182.54/182.81	tff('62', plain, cP_3(a, a), inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.81	tff('63', plain,
182.54/182.81	    ![X0, X1]:
182.54/182.81	      (~ $true
182.54/182.81	       | ~ cP_4(X1, X0)
182.54/182.81	       | ~ cP_1(f(c), c)
182.54/182.81	       | ~ $true
182.54/182.81	       | ~ cP_3(f(c), X1)
182.54/182.81	       | cQ_5(a, b, X0)),
182.54/182.81	    inference('demod', [status(thm)], ['61', '62'])).
182.54/182.81	tff('64', plain,
182.54/182.81	    ![X0, X1]:
182.54/182.81	      (cQ_5(a, b, X0) | ~ cP_3(f(c), X1) | ~ cP_1(f(c), c) | ~ cP_4(X1, X0)),
182.54/182.81	    inference('simplify', [status(thm)], ['63'])).
182.54/182.81	tff('65', plain,
182.54/182.81	    (~ $true | ~ cP_1(f(c), c) | ~ cP_3(f(c), c) | cQ_5(a, b, c)),
182.54/182.81	    inference('sup-', [status(thm)], ['6', '64'])).
182.54/182.81	tff('66', plain, (cQ_5(a, b, c) | ~ cP_3(f(c), c) | ~ cP_1(f(c), c)),
182.54/182.81	    inference('simplify', [status(thm)], ['65'])).
182.54/182.81	tff('67', plain,
182.54/182.81	    ![X39, X40, X41, X42, X43, X44]:
182.54/182.81	      (~ cP_5(f(X39), X40)
182.54/182.81	       | ~ cP_5(f(X41), X42)
182.54/182.81	       | ~ cQ_5(X41, X39, X43)
182.54/182.81	       | ~ cP_5(f(X43), X44)
182.54/182.81	       | cQ_6(X42, X40, X44)),
182.54/182.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.81	tff('68', plain, ![X45, X46, X47]: ~ cQ_6(X45, X46, X47),
182.54/182.81	    inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.81	tff('69', plain,
182.54/182.81	    ![X39, X40, X41, X42, X43, X44]:
182.54/182.81	      (~ cP_5(f(X43), X44)
182.54/182.81	       | ~ cQ_5(X41, X39, X43)
182.54/182.81	       | ~ cP_5(f(X41), X42)
182.54/182.81	       | ~ cP_5(f(X39), X40)),
182.54/182.81	    inference('clc', [status(thm)], ['67', '68'])).
182.54/182.81	tff('70', plain,
182.54/182.81	    ![X0, X1, X2, X3, X4, X5]:
182.54/182.81	      (~ $true
182.54/182.81	       | ~ cP_5(X1, X0)
182.54/182.81	       | ~ cP_5(f(X3), X2)
182.54/182.81	       | ~ cP_5(f(X5), X4)
182.54/182.81	       | ~ cQ_5(X5, X3, X1)),
182.54/182.81	    inference('sup-', [status(thm)], ['5', '69'])).
182.54/182.81	tff('71', plain,
182.54/182.81	    ![X0, X1, X2, X3, X4, X5]:
182.54/182.81	      (~ cQ_5(X5, X3, X1)
182.54/182.81	       | ~ cP_5(f(X5), X4)
182.54/182.81	       | ~ cP_5(f(X3), X2)
182.54/182.81	       | ~ cP_5(X1, X0)),
182.54/182.81	    inference('simplify', [status(thm)], ['70'])).
182.54/182.81	tff('72', plain,
182.54/182.81	    ![X0, X1, X2]:
182.54/182.81	      (~ $true
182.54/182.81	       | ~ cP_1(f(c), c)
182.54/182.81	       | ~ cP_3(f(c), c)
182.54/182.81	       | ~ cP_5(c, X0)
182.54/182.81	       | ~ cP_5(f(b), X1)
182.54/182.81	       | ~ cP_5(f(a), X2)),
182.54/182.81	    inference('sup-', [status(thm)], ['66', '71'])).
182.54/182.81	tff('73', plain,
182.54/182.81	    ![X0, X1, X2]:
182.54/182.81	      (~ cP_5(f(a), X2)
182.54/182.81	       | ~ cP_5(f(b), X1)
182.54/182.81	       | ~ cP_5(c, X0)
182.54/182.81	       | ~ cP_3(f(c), c)
182.54/182.81	       | ~ cP_1(f(c), c)),
182.54/182.81	    inference('simplify', [status(thm)], ['72'])).
182.54/182.81	tff('74', plain,
182.54/182.81	    ![X0, X1, X2]:
182.54/182.81	      (~ $true
182.54/182.81	       | ~ cP_5(a, X0)
182.54/182.81	       | ~ cP_1(f(c), c)
182.54/182.81	       | ~ cP_3(f(c), c)
182.54/182.81	       | ~ cP_5(c, X1)
182.54/182.81	       | ~ cP_5(f(b), X2)),
182.54/182.81	    inference('sup-', [status(thm)], ['5', '73'])).
182.54/182.81	tff('75', plain,
182.54/182.81	    ![X0, X1, X2]:
182.54/182.81	      (~ cP_5(f(b), X2)
182.54/182.81	       | ~ cP_5(c, X1)
182.54/182.81	       | ~ cP_3(f(c), c)
182.54/182.81	       | ~ cP_1(f(c), c)
182.54/182.81	       | ~ cP_5(a, X0)),
182.54/182.81	    inference('simplify', [status(thm)], ['74'])).
182.54/182.81	tff('76', plain,
182.54/182.81	    ![X0, X1, X2]:
182.54/182.81	      (~ $true
182.54/182.81	       | ~ cP_5(b, X0)
182.54/182.81	       | ~ cP_5(a, X1)
182.54/182.81	       | ~ cP_1(f(c), c)
182.54/182.81	       | ~ cP_3(f(c), c)
182.54/182.81	       | ~ cP_5(c, X2)),
182.54/182.81	    inference('sup-', [status(thm)], ['5', '75'])).
182.54/182.81	tff('77', plain,
182.54/182.81	    ![X0, X1, X2]:
182.54/182.81	      (~ cP_5(c, X2)
182.54/182.81	       | ~ cP_3(f(c), c)
182.54/182.81	       | ~ cP_1(f(c), c)
182.54/182.81	       | ~ cP_5(a, X1)
182.54/182.81	       | ~ cP_5(b, X0)),
182.54/182.81	    inference('simplify', [status(thm)], ['76'])).
182.54/182.81	tff('78', plain,
182.54/182.81	    ![X0, X1]:
182.54/182.81	      (~ $true
182.54/182.81	       | ~ cP_5(b, X0)
182.54/182.81	       | ~ cP_5(a, X1)
182.54/182.81	       | ~ cP_1(f(c), c)
182.54/182.81	       | ~ cP_3(f(c), c)),
182.54/182.81	    inference('sup-', [status(thm)], ['4', '77'])).
182.54/182.81	tff('79', plain,
182.54/182.81	    ![X0, X1]:
182.54/182.81	      (~ cP_3(f(c), c) | ~ cP_1(f(c), c) | ~ cP_5(a, X1) | ~ cP_5(b, X0)),
182.54/182.81	    inference('simplify', [status(thm)], ['78'])).
182.54/182.81	tff('80', plain,
182.54/182.81	    ![X0]: (~ $true | ~ cP_5(b, X0) | ~ cP_1(f(c), c) | ~ cP_3(f(c), c)),
182.54/182.81	    inference('sup-', [status(thm)], ['3', '79'])).
182.54/182.81	tff('81', plain, ![X0]: (~ cP_3(f(c), c) | ~ cP_1(f(c), c) | ~ cP_5(b, X0)),
182.54/182.81	    inference('simplify', [status(thm)], ['80'])).
182.54/182.81	tff('82', plain, (~ $true | ~ cP_1(f(c), c) | ~ cP_3(f(c), c)),
182.54/182.81	    inference('sup-', [status(thm)], ['2', '81'])).
182.54/182.81	tff('83', plain, (~ cP_3(f(c), c) | ~ cP_1(f(c), c)),
182.54/182.81	    inference('simplify', [status(thm)], ['82'])).
182.54/182.81	tff('84', plain, (~ $true | ~ cP_3(c, c) | ~ cP_1(f(c), c)),
182.54/182.81	    inference('sup-', [status(thm)], ['1', '83'])).
182.54/182.81	tff('85', plain, cP_3(c, c), inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.81	tff('86', plain, (~ $true | ~ $true | ~ cP_1(f(c), c)),
182.54/182.81	    inference('demod', [status(thm)], ['84', '85'])).
182.54/182.81	tff('87', plain, ~ cP_1(f(c), c),
182.54/182.81	    inference('simplify', [status(thm)], ['86'])).
182.54/182.81	tff('88', plain, (~ $true | ~ cP_1(c, c)),
182.54/182.81	    inference('sup-', [status(thm)], ['0', '87'])).
182.54/182.81	tff('89', plain, cP_1(c, c), inference('cnf', [status(esa)], [zf_stmt_0])).
182.54/182.81	tff('90', plain, (~ $true | ~ $true),
182.54/182.81	    inference('demod', [status(thm)], ['88', '89'])).
182.54/182.81	tff('91', plain, $false, inference('simplify', [status(thm)], ['90'])).
182.54/182.81	
182.54/182.81	% SZS output end Refutation
182.54/182.81	EOF
