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    : supatvars_int
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-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	  --sup-at-vars \
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
0.00/0.19	% Computer   : n132.star.cs.uiowa.edu
0.00/0.19	% Model      : x86_64 x86_64
0.00/0.19	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.19	% Memory     : 32218.625MB
0.00/0.19	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 16:36:41 CST 2018
184.61/184.90	% done 43236 iterations in 184.698s
184.61/184.90	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
184.61/184.90	% SZS output start Refutation
184.61/184.90	tff(cTHM409_5, conjecture,
184.61/184.90	  (~
184.61/184.90	    ((![Xx,Xy,Xz]: (~cQ_6(Xx,Xy,Xz))) & 
184.61/184.90	     (![Xx,Xy,Xz,Xu,Xv,Xw]:
184.61/184.90	        (cQ_6(Xu,Xv,Xw) | (~cP_5(f(Xz),Xw)) | (~cP_5(f(Xy),Xv)) | 
184.61/184.90	         (~cP_5(f(Xx),Xu)) | (~cQ_5(Xx,Xy,Xz)))) & 
184.61/184.90	     (![Xx,Xy]: (cP_5(f(Xx),Xy) | (~cP_5(Xx,Xy)))) & (![Xx]: cP_5(d,Xx)) & 
184.61/184.90	     cP_5(c,c) & cP_5(b,b) & cP_5(a,a) & 
184.61/184.90	     (![Xx,Xy,Xz,Xu,Xv,Xw]:
184.61/184.90	        (cQ_5(Xu,Xv,Xw) | (~cP_4(f(Xz),Xw)) | (~cP_4(f(Xy),Xv)) | 
184.61/184.90	         (~cP_4(f(Xx),Xu)) | (~cQ_4(Xx,Xy,Xz)))) & 
184.61/184.90	     (![Xx,Xy]: (cP_4(f(Xx),Xy) | (~cP_4(Xx,Xy)))) & (![Xx]: cP_4(d,Xx)) & 
184.61/184.90	     cP_4(c,c) & cP_4(b,b) & cP_4(a,a) & 
184.61/184.90	     (![Xx,Xy,Xz,Xu,Xv,Xw]:
184.61/184.90	        (cQ_4(Xu,Xv,Xw) | (~cP_3(f(Xz),Xw)) | (~cP_3(f(Xy),Xv)) | 
184.61/184.90	         (~cP_3(f(Xx),Xu)) | (~cQ_3(Xx,Xy,Xz)))) & 
184.61/184.90	     (![Xx,Xy]: (cP_3(f(Xx),Xy) | (~cP_3(Xx,Xy)))) & (![Xx]: cP_3(d,Xx)) & 
184.61/184.90	     cP_3(c,c) & cP_3(b,b) & cP_3(a,a) & 
184.61/184.90	     (![Xx,Xy,Xz,Xu,Xv,Xw]:
184.61/184.90	        (cQ_3(Xu,Xv,Xw) | (~cP_2(f(Xz),Xw)) | (~cP_2(f(Xy),Xv)) | 
184.61/184.90	         (~cP_2(f(Xx),Xu)) | (~cQ_2(Xx,Xy,Xz)))) & 
184.61/184.90	     (![Xx,Xy]: (cP_2(f(Xx),Xy) | (~cP_2(Xx,Xy)))) & (![Xx]: cP_2(d,Xx)) & 
184.61/184.90	     cP_2(c,c) & cP_2(b,b) & cP_2(a,a) & 
184.61/184.90	     (![Xx,Xy,Xz,Xu,Xv,Xw]:
184.61/184.90	        (cQ_2(Xu,Xv,Xw) | (~cP_1(f(Xz),Xw)) | (~cP_1(f(Xy),Xv)) | 
184.61/184.90	         (~cP_1(f(Xx),Xu)) | (~cQ_1(Xx,Xy,Xz)))) & 
184.61/184.90	     (![Xx,Xy]: (cP_1(f(Xx),Xy) | (~cP_1(Xx,Xy)))) & (![Xx]: cP_1(d,Xx)) & 
184.61/184.90	     cP_1(c,c) & cP_1(b,b) & cP_1(a,a) & cQ_1(a,b,c)))).
184.61/184.90	tff(zf_stmt_0, negated_conjecture,
184.61/184.90	  ((![Xx,Xy,Xz]: (~cQ_6(Xx,Xy,Xz))) & 
184.61/184.90	   (![Xx,Xy,Xz,Xu,Xv,Xw]:
184.61/184.90	      (cQ_6(Xu,Xv,Xw) | (~cP_5(f(Xz),Xw)) | (~cP_5(f(Xy),Xv)) | 
184.61/184.90	       (~cP_5(f(Xx),Xu)) | (~cQ_5(Xx,Xy,Xz)))) & 
184.61/184.90	   (![Xx,Xy]: (cP_5(f(Xx),Xy) | (~cP_5(Xx,Xy)))) & (![Xx]: cP_5(d,Xx)) & 
184.61/184.90	   cP_5(c,c) & cP_5(b,b) & cP_5(a,a) & 
184.61/184.90	   (![Xx,Xy,Xz,Xu,Xv,Xw]:
184.61/184.90	      (cQ_5(Xu,Xv,Xw) | (~cP_4(f(Xz),Xw)) | (~cP_4(f(Xy),Xv)) | 
184.61/184.90	       (~cP_4(f(Xx),Xu)) | (~cQ_4(Xx,Xy,Xz)))) & 
184.61/184.90	   (![Xx,Xy]: (cP_4(f(Xx),Xy) | (~cP_4(Xx,Xy)))) & (![Xx]: cP_4(d,Xx)) & 
184.61/184.90	   cP_4(c,c) & cP_4(b,b) & cP_4(a,a) & 
184.61/184.90	   (![Xx,Xy,Xz,Xu,Xv,Xw]:
184.61/184.90	      (cQ_4(Xu,Xv,Xw) | (~cP_3(f(Xz),Xw)) | (~cP_3(f(Xy),Xv)) | 
184.61/184.90	       (~cP_3(f(Xx),Xu)) | (~cQ_3(Xx,Xy,Xz)))) & 
184.61/184.90	   (![Xx,Xy]: (cP_3(f(Xx),Xy) | (~cP_3(Xx,Xy)))) & (![Xx]: cP_3(d,Xx)) & 
184.61/184.90	   cP_3(c,c) & cP_3(b,b) & cP_3(a,a) & 
184.61/184.90	   (![Xx,Xy,Xz,Xu,Xv,Xw]:
184.61/184.90	      (cQ_3(Xu,Xv,Xw) | (~cP_2(f(Xz),Xw)) | (~cP_2(f(Xy),Xv)) | 
184.61/184.90	       (~cP_2(f(Xx),Xu)) | (~cQ_2(Xx,Xy,Xz)))) & 
184.61/184.90	   (![Xx,Xy]: (cP_2(f(Xx),Xy) | (~cP_2(Xx,Xy)))) & (![Xx]: cP_2(d,Xx)) & 
184.61/184.90	   cP_2(c,c) & cP_2(b,b) & cP_2(a,a) & 
184.61/184.90	   (![Xx,Xy,Xz,Xu,Xv,Xw]:
184.61/184.90	      (cQ_2(Xu,Xv,Xw) | (~cP_1(f(Xz),Xw)) | (~cP_1(f(Xy),Xv)) | 
184.61/184.90	       (~cP_1(f(Xx),Xu)) | (~cQ_1(Xx,Xy,Xz)))) & 
184.61/184.90	   (![Xx,Xy]: (cP_1(f(Xx),Xy) | (~cP_1(Xx,Xy)))) & (![Xx]: cP_1(d,Xx)) & 
184.61/184.90	   cP_1(c,c) & cP_1(b,b) & cP_1(a,a) & cQ_1(a,b,c))).
184.61/184.90	tff('0', plain, ![X1, X2]: (cP_1(f(X1), X2) | ~ cP_1(X1, X2)),
184.61/184.90	    inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.90	tff('1', plain, ![X19, X20]: (cP_3(f(X19), X20) | ~ cP_3(X19, X20)),
184.61/184.90	    inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.90	tff('2', plain, cP_5(b, b), inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.90	tff('3', plain, cP_5(a, a), inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.90	tff('4', plain, cP_5(c, c), inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.90	tff('5', plain, ![X37, X38]: (cP_5(f(X37), X38) | ~ cP_5(X37, X38)),
184.61/184.90	    inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.90	tff('6', plain, cP_4(c, c), inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.90	tff('7', plain, cP_4(a, a), inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.90	tff('8', plain, cP_4(b, b), inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.90	tff('9', plain, ![X28, X29]: (cP_4(f(X28), X29) | ~ cP_4(X28, X29)),
184.61/184.90	    inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.90	tff('10', plain, cP_2(c, c), inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.90	tff('11', plain, cP_2(a, a), inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.90	tff('12', plain, cP_2(b, b), inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.90	tff('13', plain, ![X10, X11]: (cP_2(f(X10), X11) | ~ cP_2(X10, X11)),
184.61/184.90	    inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.90	tff('14', plain, cQ_1(a, b, c), inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.90	tff('15', plain,
184.61/184.90	    ![X3, X4, X5, X6, X7, X8]:
184.61/184.90	      (~ cP_1(f(X3), X4)
184.61/184.90	       | ~ cP_1(f(X5), X6)
184.61/184.90	       | ~ cQ_1(X5, X3, X7)
184.61/184.90	       | ~ cP_1(f(X7), X8)
184.61/184.90	       | cQ_2(X6, X4, X8)),
184.61/184.90	    inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.90	tff('16', plain,
184.61/184.90	    ![X0, X1, X2, X3, X4, X5]:
184.61/184.90	      (~ $true
184.61/184.90	       | ~ cP_1(X1, X0)
184.61/184.90	       | cQ_2(X3, X0, X2)
184.61/184.90	       | ~ cP_1(f(X4), X2)
184.61/184.90	       | ~ cQ_1(X5, X1, X4)
184.61/184.90	       | ~ cP_1(f(X5), X3)),
184.61/184.90	    inference('sup-', [status(thm)], ['0', '15'])).
184.61/184.90	tff('17', plain,
184.61/184.90	    ![X0, X1, X2, X3, X4, X5]:
184.61/184.90	      (~ cP_1(f(X5), X3)
184.61/184.90	       | ~ cQ_1(X5, X1, X4)
184.61/184.90	       | ~ cP_1(f(X4), X2)
184.61/184.90	       | cQ_2(X3, X0, X2)
184.61/184.90	       | ~ cP_1(X1, X0)),
184.61/184.90	    inference('simplify', [status(thm)], ['16'])).
184.61/184.90	tff('18', plain,
184.61/184.90	    ![X0, X1, X2, X3, X4, X5]:
184.61/184.90	      (~ $true
184.61/184.90	       | ~ cP_1(X1, X0)
184.61/184.90	       | ~ cP_1(X3, X2)
184.61/184.90	       | cQ_2(X0, X2, X4)
184.61/184.90	       | ~ cP_1(f(X5), X4)
184.61/184.90	       | ~ cQ_1(X1, X3, X5)),
184.61/184.90	    inference('sup-', [status(thm)], ['0', '17'])).
184.61/184.90	tff('19', plain,
184.61/184.90	    ![X0, X1, X2, X3, X4, X5]:
184.61/184.90	      (~ cQ_1(X1, X3, X5)
184.61/184.90	       | ~ cP_1(f(X5), X4)
184.61/184.90	       | cQ_2(X0, X2, X4)
184.61/184.90	       | ~ cP_1(X3, X2)
184.61/184.90	       | ~ cP_1(X1, X0)),
184.61/184.90	    inference('simplify', [status(thm)], ['18'])).
184.61/184.90	tff('20', plain,
184.61/184.90	    ![X0, X1, X2]:
184.61/184.90	      (~ $true
184.61/184.90	       | ~ cP_1(a, X0)
184.61/184.90	       | ~ cP_1(b, X1)
184.61/184.90	       | cQ_2(X0, X1, X2)
184.61/184.90	       | ~ cP_1(f(c), X2)),
184.61/184.90	    inference('sup-', [status(thm)], ['14', '19'])).
184.61/184.90	tff('21', plain,
184.61/184.90	    ![X0, X1, X2]:
184.61/184.90	      (~ cP_1(f(c), X2) | cQ_2(X0, X1, X2) | ~ cP_1(b, X1) | ~ cP_1(a, X0)),
184.61/184.90	    inference('simplify', [status(thm)], ['20'])).
184.61/184.90	tff('22', plain,
184.61/184.90	    ![X12, X13, X14, X15, X16, X17]:
184.61/184.90	      (~ cP_2(f(X12), X13)
184.61/184.90	       | ~ cP_2(f(X14), X15)
184.61/184.90	       | ~ cQ_2(X14, X12, X16)
184.61/184.90	       | ~ cP_2(f(X16), X17)
184.61/184.90	       | cQ_3(X15, X13, X17)),
184.61/184.90	    inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.90	tff('23', plain,
184.61/184.90	    ![X0, X1, X2, X3, X4, X5]:
184.61/184.90	      (~ $true
184.61/184.90	       | ~ cP_2(X1, X0)
184.61/184.90	       | cQ_3(X3, X0, X2)
184.61/184.90	       | ~ cP_2(f(X4), X2)
184.61/184.90	       | ~ cQ_2(X5, X1, X4)
184.61/184.90	       | ~ cP_2(f(X5), X3)),
184.61/184.90	    inference('sup-', [status(thm)], ['13', '22'])).
184.61/184.90	tff('24', plain,
184.61/184.90	    ![X0, X1, X2, X3, X4, X5]:
184.61/184.90	      (~ cP_2(f(X5), X3)
184.61/184.90	       | ~ cQ_2(X5, X1, X4)
184.61/184.90	       | ~ cP_2(f(X4), X2)
184.61/184.90	       | cQ_3(X3, X0, X2)
184.61/184.90	       | ~ cP_2(X1, X0)),
184.61/184.90	    inference('simplify', [status(thm)], ['23'])).
184.61/184.90	tff('25', plain,
184.61/184.90	    ![X0, X1, X2, X3, X4, X5]:
184.61/184.90	      (~ $true
184.61/184.90	       | ~ cP_2(X1, X0)
184.61/184.90	       | ~ cP_2(X3, X2)
184.61/184.90	       | cQ_3(X0, X2, X4)
184.61/184.90	       | ~ cP_2(f(X5), X4)
184.61/184.90	       | ~ cQ_2(X1, X3, X5)),
184.61/184.90	    inference('sup-', [status(thm)], ['13', '24'])).
184.61/184.90	tff('26', plain,
184.61/184.90	    ![X0, X1, X2, X3, X4, X5]:
184.61/184.90	      (~ cQ_2(X1, X3, X5)
184.61/184.90	       | ~ cP_2(f(X5), X4)
184.61/184.90	       | cQ_3(X0, X2, X4)
184.61/184.90	       | ~ cP_2(X3, X2)
184.61/184.90	       | ~ cP_2(X1, X0)),
184.61/184.90	    inference('simplify', [status(thm)], ['25'])).
184.61/184.90	tff('27', plain,
184.61/184.90	    ![X0, X1, X2, X3, X4, X5]:
184.61/184.90	      (~ $true
184.61/184.90	       | ~ cP_1(a, X2)
184.61/184.90	       | ~ cP_1(b, X1)
184.61/184.90	       | ~ cP_1(f(c), X0)
184.61/184.90	       | ~ cP_2(X2, X3)
184.61/184.90	       | ~ cP_2(X1, X4)
184.61/184.90	       | cQ_3(X3, X4, X5)
184.61/184.90	       | ~ cP_2(f(X0), X5)),
184.61/184.90	    inference('sup-', [status(thm)], ['21', '26'])).
184.61/184.90	tff('28', plain,
184.61/184.90	    ![X0, X1, X2, X3, X4, X5]:
184.61/184.90	      (~ cP_2(f(X0), X5)
184.61/184.90	       | cQ_3(X3, X4, X5)
184.61/184.90	       | ~ cP_2(X1, X4)
184.61/184.90	       | ~ cP_2(X2, X3)
184.61/184.90	       | ~ cP_1(f(c), X0)
184.61/184.90	       | ~ cP_1(b, X1)
184.61/184.90	       | ~ cP_1(a, X2)),
184.61/184.90	    inference('simplify', [status(thm)], ['27'])).
184.61/184.90	tff('29', plain,
184.61/184.90	    ![X0, X1, X2, X3, X4, X5]:
184.61/184.90	      (~ $true
184.61/184.90	       | ~ cP_2(X1, X0)
184.61/184.90	       | ~ cP_1(a, X2)
184.61/184.90	       | ~ cP_1(b, X3)
184.61/184.90	       | ~ cP_1(f(c), X1)
184.61/184.90	       | ~ cP_2(X2, X4)
184.61/184.90	       | ~ cP_2(X3, X5)
184.61/184.90	       | cQ_3(X4, X5, X0)),
184.61/184.90	    inference('sup-', [status(thm)], ['13', '28'])).
184.61/184.90	tff('30', plain,
184.61/184.90	    ![X0, X1, X2, X3, X4, X5]:
184.61/184.90	      (cQ_3(X4, X5, X0)
184.61/184.90	       | ~ cP_2(X3, X5)
184.61/184.90	       | ~ cP_2(X2, X4)
184.61/184.90	       | ~ cP_1(f(c), X1)
184.61/184.90	       | ~ cP_1(b, X3)
184.61/184.90	       | ~ cP_1(a, X2)
184.61/184.90	       | ~ cP_2(X1, X0)),
184.61/184.90	    inference('simplify', [status(thm)], ['29'])).
184.61/184.90	tff('31', plain,
184.61/184.90	    ![X0, X1, X2, X3]:
184.61/184.90	      (~ $true
184.61/184.90	       | ~ cP_2(X1, X0)
184.61/184.90	       | ~ cP_1(a, X2)
184.61/184.90	       | ~ cP_1(b, b)
184.61/184.90	       | ~ cP_1(f(c), X1)
184.61/184.90	       | ~ cP_2(X2, X3)
184.61/184.90	       | cQ_3(X3, b, X0)),
184.61/184.90	    inference('sup-', [status(thm)], ['12', '30'])).
184.61/184.90	tff('32', plain, cP_1(b, b), inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.90	tff('33', plain,
184.61/184.90	    ![X0, X1, X2, X3]:
184.61/184.90	      (~ $true
184.61/184.90	       | ~ cP_2(X1, X0)
184.61/184.90	       | ~ cP_1(a, X2)
184.61/184.90	       | ~ $true
184.61/184.90	       | ~ cP_1(f(c), X1)
184.61/184.90	       | ~ cP_2(X2, X3)
184.61/184.90	       | cQ_3(X3, b, X0)),
184.61/184.90	    inference('demod', [status(thm)], ['31', '32'])).
184.61/184.90	tff('34', plain,
184.61/184.90	    ![X0, X1, X2, X3]:
184.61/184.90	      (cQ_3(X3, b, X0)
184.61/184.90	       | ~ cP_2(X2, X3)
184.61/184.90	       | ~ cP_1(f(c), X1)
184.61/184.90	       | ~ cP_1(a, X2)
184.61/184.90	       | ~ cP_2(X1, X0)),
184.61/184.90	    inference('simplify', [status(thm)], ['33'])).
184.61/184.90	tff('35', plain,
184.61/184.90	    ![X0, X1]:
184.61/184.90	      (~ $true
184.61/184.90	       | ~ cP_2(X1, X0)
184.61/184.90	       | ~ cP_1(a, a)
184.61/184.90	       | ~ cP_1(f(c), X1)
184.61/184.90	       | cQ_3(a, b, X0)),
184.61/184.90	    inference('sup-', [status(thm)], ['11', '34'])).
184.61/184.90	tff('36', plain, cP_1(a, a), inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.90	tff('37', plain,
184.61/184.90	    ![X0, X1]:
184.61/184.90	      (~ $true | ~ cP_2(X1, X0) | ~ $true | ~ cP_1(f(c), X1) | cQ_3(a, b, X0)),
184.61/184.90	    inference('demod', [status(thm)], ['35', '36'])).
184.61/184.90	tff('38', plain,
184.61/184.90	    ![X0, X1]: (cQ_3(a, b, X0) | ~ cP_1(f(c), X1) | ~ cP_2(X1, X0)),
184.61/184.90	    inference('simplify', [status(thm)], ['37'])).
184.61/184.90	tff('39', plain, (~ $true | ~ cP_1(f(c), c) | cQ_3(a, b, c)),
184.61/184.90	    inference('sup-', [status(thm)], ['10', '38'])).
184.61/184.90	tff('40', plain, (cQ_3(a, b, c) | ~ cP_1(f(c), c)),
184.61/184.90	    inference('simplify', [status(thm)], ['39'])).
184.61/184.90	tff('41', plain,
184.61/184.90	    ![X21, X22, X23, X24, X25, X26]:
184.61/184.90	      (~ cP_3(f(X21), X22)
184.61/184.90	       | ~ cP_3(f(X23), X24)
184.61/184.90	       | ~ cQ_3(X23, X21, X25)
184.61/184.90	       | ~ cP_3(f(X25), X26)
184.61/184.90	       | cQ_4(X24, X22, X26)),
184.61/184.90	    inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.90	tff('42', plain,
184.61/184.90	    ![X0, X1, X2, X3, X4, X5]:
184.61/184.90	      (~ $true
184.61/184.90	       | ~ cP_3(X1, X0)
184.61/184.90	       | cQ_4(X3, X0, X2)
184.61/184.90	       | ~ cP_3(f(X4), X2)
184.61/184.90	       | ~ cQ_3(X5, X1, X4)
184.61/184.90	       | ~ cP_3(f(X5), X3)),
184.61/184.90	    inference('sup-', [status(thm)], ['1', '41'])).
184.61/184.90	tff('43', plain,
184.61/184.90	    ![X0, X1, X2, X3, X4, X5]:
184.61/184.90	      (~ cP_3(f(X5), X3)
184.61/184.90	       | ~ cQ_3(X5, X1, X4)
184.61/184.90	       | ~ cP_3(f(X4), X2)
184.61/184.90	       | cQ_4(X3, X0, X2)
184.61/184.90	       | ~ cP_3(X1, X0)),
184.61/184.90	    inference('simplify', [status(thm)], ['42'])).
184.61/184.90	tff('44', plain,
184.61/184.90	    ![X0, X1, X2, X3, X4, X5]:
184.61/184.90	      (~ $true
184.61/184.90	       | ~ cP_3(X1, X0)
184.61/184.90	       | ~ cP_3(X3, X2)
184.61/184.90	       | cQ_4(X0, X2, X4)
184.61/184.90	       | ~ cP_3(f(X5), X4)
184.61/184.90	       | ~ cQ_3(X1, X3, X5)),
184.61/184.90	    inference('sup-', [status(thm)], ['1', '43'])).
184.61/184.90	tff('45', plain,
184.61/184.90	    ![X0, X1, X2, X3, X4, X5]:
184.61/184.90	      (~ cQ_3(X1, X3, X5)
184.61/184.90	       | ~ cP_3(f(X5), X4)
184.61/184.90	       | cQ_4(X0, X2, X4)
184.61/184.90	       | ~ cP_3(X3, X2)
184.61/184.90	       | ~ cP_3(X1, X0)),
184.61/184.90	    inference('simplify', [status(thm)], ['44'])).
184.61/184.90	tff('46', plain,
184.61/184.90	    ![X0, X1, X2]:
184.61/184.90	      (~ $true
184.61/184.90	       | ~ cP_1(f(c), c)
184.61/184.90	       | ~ cP_3(a, X0)
184.61/184.90	       | ~ cP_3(b, X1)
184.61/184.90	       | cQ_4(X0, X1, X2)
184.61/184.90	       | ~ cP_3(f(c), X2)),
184.61/184.90	    inference('sup-', [status(thm)], ['40', '45'])).
184.61/184.90	tff('47', plain,
184.61/184.90	    ![X0, X1, X2]:
184.61/184.90	      (~ cP_3(f(c), X2)
184.61/184.90	       | cQ_4(X0, X1, X2)
184.61/184.90	       | ~ cP_3(b, X1)
184.61/184.90	       | ~ cP_3(a, X0)
184.61/184.90	       | ~ cP_1(f(c), c)),
184.61/184.90	    inference('simplify', [status(thm)], ['46'])).
184.61/184.90	tff('48', plain,
184.61/184.90	    ![X30, X31, X32, X33, X34, X35]:
184.61/184.90	      (~ cP_4(f(X30), X31)
184.61/184.90	       | ~ cP_4(f(X32), X33)
184.61/184.90	       | ~ cQ_4(X32, X30, X34)
184.61/184.90	       | ~ cP_4(f(X34), X35)
184.61/184.90	       | cQ_5(X33, X31, X35)),
184.61/184.90	    inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.90	tff('49', plain,
184.61/184.90	    ![X0, X1, X2, X3, X4, X5]:
184.61/184.90	      (~ $true
184.61/184.90	       | ~ cP_4(X1, X0)
184.61/184.90	       | cQ_5(X3, X0, X2)
184.61/184.90	       | ~ cP_4(f(X4), X2)
184.61/184.90	       | ~ cQ_4(X5, X1, X4)
184.61/184.90	       | ~ cP_4(f(X5), X3)),
184.61/184.90	    inference('sup-', [status(thm)], ['9', '48'])).
184.61/184.90	tff('50', plain,
184.61/184.90	    ![X0, X1, X2, X3, X4, X5]:
184.61/184.90	      (~ cP_4(f(X5), X3)
184.61/184.90	       | ~ cQ_4(X5, X1, X4)
184.61/184.90	       | ~ cP_4(f(X4), X2)
184.61/184.90	       | cQ_5(X3, X0, X2)
184.61/184.90	       | ~ cP_4(X1, X0)),
184.61/184.90	    inference('simplify', [status(thm)], ['49'])).
184.61/184.90	tff('51', plain,
184.61/184.90	    ![X0, X1, X2, X3, X4, X5]:
184.61/184.90	      (~ $true
184.61/184.90	       | ~ cP_4(X1, X0)
184.61/184.90	       | ~ cP_4(X3, X2)
184.61/184.90	       | cQ_5(X0, X2, X4)
184.61/184.90	       | ~ cP_4(f(X5), X4)
184.61/184.90	       | ~ cQ_4(X1, X3, X5)),
184.61/184.90	    inference('sup-', [status(thm)], ['9', '50'])).
184.61/184.90	tff('52', plain,
184.61/184.90	    ![X0, X1, X2, X3, X4, X5]:
184.61/184.90	      (~ cQ_4(X1, X3, X5)
184.61/184.90	       | ~ cP_4(f(X5), X4)
184.61/184.90	       | cQ_5(X0, X2, X4)
184.61/184.90	       | ~ cP_4(X3, X2)
184.61/184.90	       | ~ cP_4(X1, X0)),
184.61/184.90	    inference('simplify', [status(thm)], ['51'])).
184.61/184.90	tff('53', plain,
184.61/184.90	    ![X0, X1, X2, X3, X4, X5]:
184.61/184.90	      (~ $true
184.61/184.90	       | ~ cP_1(f(c), c)
184.61/184.90	       | ~ cP_3(a, X2)
184.61/184.90	       | ~ cP_3(b, X1)
184.61/184.90	       | ~ cP_3(f(c), X0)
184.61/184.90	       | ~ cP_4(X2, X3)
184.61/184.90	       | ~ cP_4(X1, X4)
184.61/184.90	       | cQ_5(X3, X4, X5)
184.61/184.90	       | ~ cP_4(f(X0), X5)),
184.61/184.90	    inference('sup-', [status(thm)], ['47', '52'])).
184.61/184.90	tff('54', plain,
184.61/184.90	    ![X0, X1, X2, X3, X4, X5]:
184.61/184.90	      (~ cP_4(f(X0), X5)
184.61/184.90	       | cQ_5(X3, X4, X5)
184.61/184.90	       | ~ cP_4(X1, X4)
184.61/184.90	       | ~ cP_4(X2, X3)
184.61/184.90	       | ~ cP_3(f(c), X0)
184.61/184.90	       | ~ cP_3(b, X1)
184.61/184.90	       | ~ cP_3(a, X2)
184.61/184.90	       | ~ cP_1(f(c), c)),
184.61/184.90	    inference('simplify', [status(thm)], ['53'])).
184.61/184.90	tff('55', plain,
184.61/184.90	    ![X0, X1, X2, X3, X4, X5]:
184.61/184.90	      (~ $true
184.61/184.90	       | ~ cP_4(X1, X0)
184.61/184.90	       | ~ cP_1(f(c), c)
184.61/184.90	       | ~ cP_3(a, X2)
184.61/184.90	       | ~ cP_3(b, X3)
184.61/184.90	       | ~ cP_3(f(c), X1)
184.61/184.90	       | ~ cP_4(X2, X4)
184.61/184.90	       | ~ cP_4(X3, X5)
184.61/184.90	       | cQ_5(X4, X5, X0)),
184.61/184.90	    inference('sup-', [status(thm)], ['9', '54'])).
184.61/184.90	tff('56', plain,
184.61/184.90	    ![X0, X1, X2, X3, X4, X5]:
184.61/184.90	      (cQ_5(X4, X5, X0)
184.61/184.90	       | ~ cP_4(X3, X5)
184.61/184.90	       | ~ cP_4(X2, X4)
184.61/184.90	       | ~ cP_3(f(c), X1)
184.61/184.90	       | ~ cP_3(b, X3)
184.61/184.90	       | ~ cP_3(a, X2)
184.61/184.90	       | ~ cP_1(f(c), c)
184.61/184.90	       | ~ cP_4(X1, X0)),
184.61/184.90	    inference('simplify', [status(thm)], ['55'])).
184.61/184.90	tff('57', plain,
184.61/184.90	    ![X0, X1, X2, X3]:
184.61/184.90	      (~ $true
184.61/184.90	       | ~ cP_4(X1, X0)
184.61/184.90	       | ~ cP_1(f(c), c)
184.61/184.90	       | ~ cP_3(a, X2)
184.61/184.90	       | ~ cP_3(b, b)
184.61/184.90	       | ~ cP_3(f(c), X1)
184.61/184.90	       | ~ cP_4(X2, X3)
184.61/184.90	       | cQ_5(X3, b, X0)),
184.61/184.90	    inference('sup-', [status(thm)], ['8', '56'])).
184.61/184.90	tff('58', plain, cP_3(b, b), inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.90	tff('59', plain,
184.61/184.90	    ![X0, X1, X2, X3]:
184.61/184.90	      (~ $true
184.61/184.90	       | ~ cP_4(X1, X0)
184.61/184.90	       | ~ cP_1(f(c), c)
184.61/184.90	       | ~ cP_3(a, X2)
184.61/184.90	       | ~ $true
184.61/184.90	       | ~ cP_3(f(c), X1)
184.61/184.90	       | ~ cP_4(X2, X3)
184.61/184.90	       | cQ_5(X3, b, X0)),
184.61/184.90	    inference('demod', [status(thm)], ['57', '58'])).
184.61/184.90	tff('60', plain,
184.61/184.90	    ![X0, X1, X2, X3]:
184.61/184.90	      (cQ_5(X3, b, X0)
184.61/184.90	       | ~ cP_4(X2, X3)
184.61/184.90	       | ~ cP_3(f(c), X1)
184.61/184.90	       | ~ cP_3(a, X2)
184.61/184.90	       | ~ cP_1(f(c), c)
184.61/184.90	       | ~ cP_4(X1, X0)),
184.61/184.90	    inference('simplify', [status(thm)], ['59'])).
184.61/184.90	tff('61', plain,
184.61/184.90	    ![X0, X1]:
184.61/184.90	      (~ $true
184.61/184.90	       | ~ cP_4(X1, X0)
184.61/184.90	       | ~ cP_1(f(c), c)
184.61/184.90	       | ~ cP_3(a, a)
184.61/184.90	       | ~ cP_3(f(c), X1)
184.61/184.90	       | cQ_5(a, b, X0)),
184.61/184.90	    inference('sup-', [status(thm)], ['7', '60'])).
184.61/184.90	tff('62', plain, cP_3(a, a), inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.90	tff('63', plain,
184.61/184.90	    ![X0, X1]:
184.61/184.90	      (~ $true
184.61/184.90	       | ~ cP_4(X1, X0)
184.61/184.90	       | ~ cP_1(f(c), c)
184.61/184.90	       | ~ $true
184.61/184.90	       | ~ cP_3(f(c), X1)
184.61/184.90	       | cQ_5(a, b, X0)),
184.61/184.90	    inference('demod', [status(thm)], ['61', '62'])).
184.61/184.90	tff('64', plain,
184.61/184.90	    ![X0, X1]:
184.61/184.90	      (cQ_5(a, b, X0) | ~ cP_3(f(c), X1) | ~ cP_1(f(c), c) | ~ cP_4(X1, X0)),
184.61/184.90	    inference('simplify', [status(thm)], ['63'])).
184.61/184.90	tff('65', plain,
184.61/184.90	    (~ $true | ~ cP_1(f(c), c) | ~ cP_3(f(c), c) | cQ_5(a, b, c)),
184.61/184.90	    inference('sup-', [status(thm)], ['6', '64'])).
184.61/184.90	tff('66', plain, (cQ_5(a, b, c) | ~ cP_3(f(c), c) | ~ cP_1(f(c), c)),
184.61/184.90	    inference('simplify', [status(thm)], ['65'])).
184.61/184.90	tff('67', plain,
184.61/184.90	    ![X39, X40, X41, X42, X43, X44]:
184.61/184.90	      (~ cP_5(f(X39), X40)
184.61/184.90	       | ~ cP_5(f(X41), X42)
184.61/184.90	       | ~ cQ_5(X41, X39, X43)
184.61/184.90	       | ~ cP_5(f(X43), X44)
184.61/184.90	       | cQ_6(X42, X40, X44)),
184.61/184.90	    inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.90	tff('68', plain, ![X45, X46, X47]: ~ cQ_6(X45, X46, X47),
184.61/184.90	    inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.90	tff('69', plain,
184.61/184.90	    ![X39, X40, X41, X42, X43, X44]:
184.61/184.90	      (~ cP_5(f(X43), X44)
184.61/184.90	       | ~ cQ_5(X41, X39, X43)
184.61/184.90	       | ~ cP_5(f(X41), X42)
184.61/184.90	       | ~ cP_5(f(X39), X40)),
184.61/184.90	    inference('clc', [status(thm)], ['67', '68'])).
184.61/184.90	tff('70', plain,
184.61/184.90	    ![X0, X1, X2, X3, X4, X5]:
184.61/184.90	      (~ $true
184.61/184.90	       | ~ cP_5(X1, X0)
184.61/184.90	       | ~ cP_5(f(X3), X2)
184.61/184.90	       | ~ cP_5(f(X5), X4)
184.61/184.90	       | ~ cQ_5(X5, X3, X1)),
184.61/184.90	    inference('sup-', [status(thm)], ['5', '69'])).
184.61/184.90	tff('71', plain,
184.61/184.90	    ![X0, X1, X2, X3, X4, X5]:
184.61/184.90	      (~ cQ_5(X5, X3, X1)
184.61/184.90	       | ~ cP_5(f(X5), X4)
184.61/184.90	       | ~ cP_5(f(X3), X2)
184.61/184.91	       | ~ cP_5(X1, X0)),
184.61/184.91	    inference('simplify', [status(thm)], ['70'])).
184.61/184.91	tff('72', plain,
184.61/184.91	    ![X0, X1, X2]:
184.61/184.91	      (~ $true
184.61/184.91	       | ~ cP_1(f(c), c)
184.61/184.91	       | ~ cP_3(f(c), c)
184.61/184.91	       | ~ cP_5(c, X0)
184.61/184.91	       | ~ cP_5(f(b), X1)
184.61/184.91	       | ~ cP_5(f(a), X2)),
184.61/184.91	    inference('sup-', [status(thm)], ['66', '71'])).
184.61/184.91	tff('73', plain,
184.61/184.91	    ![X0, X1, X2]:
184.61/184.91	      (~ cP_5(f(a), X2)
184.61/184.91	       | ~ cP_5(f(b), X1)
184.61/184.91	       | ~ cP_5(c, X0)
184.61/184.91	       | ~ cP_3(f(c), c)
184.61/184.91	       | ~ cP_1(f(c), c)),
184.61/184.91	    inference('simplify', [status(thm)], ['72'])).
184.61/184.91	tff('74', plain,
184.61/184.91	    ![X0, X1, X2]:
184.61/184.91	      (~ $true
184.61/184.91	       | ~ cP_5(a, X0)
184.61/184.91	       | ~ cP_1(f(c), c)
184.61/184.91	       | ~ cP_3(f(c), c)
184.61/184.91	       | ~ cP_5(c, X1)
184.61/184.91	       | ~ cP_5(f(b), X2)),
184.61/184.91	    inference('sup-', [status(thm)], ['5', '73'])).
184.61/184.91	tff('75', plain,
184.61/184.91	    ![X0, X1, X2]:
184.61/184.91	      (~ cP_5(f(b), X2)
184.61/184.91	       | ~ cP_5(c, X1)
184.61/184.91	       | ~ cP_3(f(c), c)
184.61/184.91	       | ~ cP_1(f(c), c)
184.61/184.91	       | ~ cP_5(a, X0)),
184.61/184.91	    inference('simplify', [status(thm)], ['74'])).
184.61/184.91	tff('76', plain,
184.61/184.91	    ![X0, X1, X2]:
184.61/184.91	      (~ $true
184.61/184.91	       | ~ cP_5(b, X0)
184.61/184.91	       | ~ cP_5(a, X1)
184.61/184.91	       | ~ cP_1(f(c), c)
184.61/184.91	       | ~ cP_3(f(c), c)
184.61/184.91	       | ~ cP_5(c, X2)),
184.61/184.91	    inference('sup-', [status(thm)], ['5', '75'])).
184.61/184.91	tff('77', plain,
184.61/184.91	    ![X0, X1, X2]:
184.61/184.91	      (~ cP_5(c, X2)
184.61/184.91	       | ~ cP_3(f(c), c)
184.61/184.91	       | ~ cP_1(f(c), c)
184.61/184.91	       | ~ cP_5(a, X1)
184.61/184.91	       | ~ cP_5(b, X0)),
184.61/184.91	    inference('simplify', [status(thm)], ['76'])).
184.61/184.91	tff('78', plain,
184.61/184.91	    ![X0, X1]:
184.61/184.91	      (~ $true
184.61/184.91	       | ~ cP_5(b, X0)
184.61/184.91	       | ~ cP_5(a, X1)
184.61/184.91	       | ~ cP_1(f(c), c)
184.61/184.91	       | ~ cP_3(f(c), c)),
184.61/184.91	    inference('sup-', [status(thm)], ['4', '77'])).
184.61/184.91	tff('79', plain,
184.61/184.91	    ![X0, X1]:
184.61/184.91	      (~ cP_3(f(c), c) | ~ cP_1(f(c), c) | ~ cP_5(a, X1) | ~ cP_5(b, X0)),
184.61/184.91	    inference('simplify', [status(thm)], ['78'])).
184.61/184.91	tff('80', plain,
184.61/184.91	    ![X0]: (~ $true | ~ cP_5(b, X0) | ~ cP_1(f(c), c) | ~ cP_3(f(c), c)),
184.61/184.91	    inference('sup-', [status(thm)], ['3', '79'])).
184.61/184.91	tff('81', plain, ![X0]: (~ cP_3(f(c), c) | ~ cP_1(f(c), c) | ~ cP_5(b, X0)),
184.61/184.91	    inference('simplify', [status(thm)], ['80'])).
184.61/184.91	tff('82', plain, (~ $true | ~ cP_1(f(c), c) | ~ cP_3(f(c), c)),
184.61/184.91	    inference('sup-', [status(thm)], ['2', '81'])).
184.61/184.91	tff('83', plain, (~ cP_3(f(c), c) | ~ cP_1(f(c), c)),
184.61/184.91	    inference('simplify', [status(thm)], ['82'])).
184.61/184.91	tff('84', plain, (~ $true | ~ cP_3(c, c) | ~ cP_1(f(c), c)),
184.61/184.91	    inference('sup-', [status(thm)], ['1', '83'])).
184.61/184.91	tff('85', plain, cP_3(c, c), inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.91	tff('86', plain, (~ $true | ~ $true | ~ cP_1(f(c), c)),
184.61/184.91	    inference('demod', [status(thm)], ['84', '85'])).
184.61/184.91	tff('87', plain, ~ cP_1(f(c), c),
184.61/184.91	    inference('simplify', [status(thm)], ['86'])).
184.61/184.91	tff('88', plain, (~ $true | ~ cP_1(c, c)),
184.61/184.91	    inference('sup-', [status(thm)], ['0', '87'])).
184.61/184.91	tff('89', plain, cP_1(c, c), inference('cnf', [status(esa)], [zf_stmt_0])).
184.61/184.91	tff('90', plain, (~ $true | ~ $true),
184.61/184.91	    inference('demod', [status(thm)], ['88', '89'])).
184.61/184.91	tff('91', plain, $false, inference('simplify', [status(thm)], ['90'])).
184.61/184.91	
184.61/184.91	% SZS output end Refutation
184.61/184.91	EOF
