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_ext
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 ext \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --restrict-hidden-sup-at-vars \
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   : n059.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 04:54:54 CST 2018
0.00/0.21	% done 32 iterations in 0.011s
0.00/0.21	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.00/0.21	% SZS output start Refutation
0.00/0.22	tff(cNUM016_1, conjecture,
0.00/0.22	  (~
0.00/0.22	    ((![X]: (less(factorial_plus_one(a),X) | (~less(a,X)) | (~prime(X)))) & 
0.00/0.22	     prime(a) & (![X]: (less(prime_divisor(X),X) | prime(X))) & 
0.00/0.22	     (![X]: (prime(prime_divisor(X)) | prime(X))) & 
0.00/0.22	     (![X]: (divides(prime_divisor(X),X) | prime(X))) & 
0.00/0.22	     (![X,Y]: (less(Y,X) | (~divides(X,factorial_plus_one(Y))))) & 
0.00/0.22	     (![X]: less(X,factorial_plus_one(X))) & 
0.00/0.22	     (![X,Y]: ((~less(Y,X)) | (~divides(X,Y)))) & 
0.00/0.22	     (![X,Y,Z]: (divides(X,Z) | (~divides(Y,Z)) | (~divides(X,Y)))) & 
0.00/0.22	     (![X]: divides(X,X)) & (![X,Y]: ((~less(Y,X)) | (~less(X,Y)))) & 
0.00/0.22	     (![X]: (~less(X,X)))))).
0.00/0.22	tff(zf_stmt_0, negated_conjecture,
0.00/0.22	  ((![X]: (less(factorial_plus_one(a),X) | (~less(a,X)) | (~prime(X)))) & 
0.00/0.22	   prime(a) & (![X]: (less(prime_divisor(X),X) | prime(X))) & 
0.00/0.22	   (![X]: (prime(prime_divisor(X)) | prime(X))) & 
0.00/0.22	   (![X]: (divides(prime_divisor(X),X) | prime(X))) & 
0.00/0.22	   (![X,Y]: (less(Y,X) | (~divides(X,factorial_plus_one(Y))))) & 
0.00/0.22	   (![X]: less(X,factorial_plus_one(X))) & 
0.00/0.22	   (![X,Y]: ((~less(Y,X)) | (~divides(X,Y)))) & 
0.00/0.22	   (![X,Y,Z]: (divides(X,Z) | (~divides(Y,Z)) | (~divides(X,Y)))) & 
0.00/0.22	   (![X]: divides(X,X)) & (![X,Y]: ((~less(Y,X)) | (~less(X,Y)))) & 
0.00/0.22	   (![X]: (~less(X,X))))).
0.00/0.22	tff('0', plain, ![X12]: (divides(prime_divisor(X12), X12) | prime(X12)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('1', plain,
0.00/0.22	    ![X10, X11]: (less(X10, X11) | ~ divides(X11, factorial_plus_one(X10))),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('2', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (~ $true
0.00/0.22	       | prime(factorial_plus_one(X0))
0.00/0.22	       | less(X0, prime_divisor(factorial_plus_one(X0)))),
0.00/0.22	    inference('sup-', [status(thm)], ['0', '1'])).
0.00/0.22	tff('3', plain,
0.00/0.22	    ![X0]:
0.00/0.22	      (less(X0, prime_divisor(factorial_plus_one(X0)))
0.00/0.22	       | prime(factorial_plus_one(X0))),
0.00/0.22	    inference('simplify', [status(thm)], ['2'])).
0.00/0.22	tff('4', plain,
0.00/0.22	    ![X15]:
0.00/0.22	      (less(factorial_plus_one(a), X15) | ~ less(a, X15) | ~ prime(X15)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('5', plain, ![X7, X8]: (~ less(X7, X8) | ~ divides(X8, X7)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('6', plain, ![X0]: (~ $true | prime(X0) | ~ less(X0, prime_divisor(X0))),
0.00/0.22	    inference('sup-', [status(thm)], ['0', '5'])).
0.00/0.22	tff('7', plain, ![X0]: (~ less(X0, prime_divisor(X0)) | prime(X0)),
0.00/0.22	    inference('simplify', [status(thm)], ['6'])).
0.00/0.22	tff('8', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | ~ prime(prime_divisor(factorial_plus_one(a)))
0.00/0.22	     | ~ less(a, prime_divisor(factorial_plus_one(a)))
0.00/0.22	     | prime(factorial_plus_one(a))),
0.00/0.22	    inference('sup-', [status(thm)], ['4', '7'])).
0.00/0.22	tff('9', plain,
0.00/0.22	    (prime(factorial_plus_one(a))
0.00/0.22	     | ~ less(a, prime_divisor(factorial_plus_one(a)))
0.00/0.22	     | ~ prime(prime_divisor(factorial_plus_one(a)))),
0.00/0.22	    inference('simplify', [status(thm)], ['8'])).
0.00/0.22	tff('10', plain, ![X0]: ~ less(X0, X0),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('11', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | ~ prime(factorial_plus_one(a))
0.00/0.22	     | ~ less(a, factorial_plus_one(a))),
0.00/0.22	    inference('sup-', [status(thm)], ['4', '10'])).
0.00/0.22	tff('12', plain, ![X9]: less(X9, factorial_plus_one(X9)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('13', plain, (~ $true | ~ prime(factorial_plus_one(a)) | ~ $true),
0.00/0.22	    inference('demod', [status(thm)], ['11', '12'])).
0.00/0.22	tff('14', plain, ~ prime(factorial_plus_one(a)),
0.00/0.22	    inference('simplify', [status(thm)], ['13'])).
0.00/0.22	tff('15', plain,
0.00/0.22	    (~ prime(prime_divisor(factorial_plus_one(a)))
0.00/0.22	     | ~ less(a, prime_divisor(factorial_plus_one(a)))),
0.00/0.22	    inference('clc', [status(thm)], ['9', '14'])).
0.00/0.22	tff('16', plain,
0.00/0.22	    (~ $true
0.00/0.22	     | prime(factorial_plus_one(a))
0.00/0.22	     | ~ prime(prime_divisor(factorial_plus_one(a)))),
0.00/0.22	    inference('sup-', [status(thm)], ['3', '15'])).
0.00/0.22	tff('17', plain,
0.00/0.22	    (~ prime(prime_divisor(factorial_plus_one(a)))
0.00/0.22	     | prime(factorial_plus_one(a))),
0.00/0.22	    inference('simplify', [status(thm)], ['16'])).
0.00/0.22	tff('18', plain, ![X13]: (prime(prime_divisor(X13)) | prime(X13)),
0.00/0.22	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.00/0.22	tff('19', plain, prime(factorial_plus_one(a)),
0.00/0.22	    inference('clc', [status(thm)], ['17', '18'])).
0.00/0.22	tff('20', plain, ~ $true, inference('sup-', [status(thm)], ['19', '14'])).
0.00/0.22	tff('21', plain, $false, inference('simplify', [status(thm)], ['20'])).
0.00/0.22	
0.00/0.22	% SZS output end Refutation
0.00/0.22	EOF
