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    : 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 $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify ext \
0.00/0.00	  --ho-ext-axiom \
0.00/0.00	  --restrict-hidden-sup-at-vars \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n160.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 08:06:54 CST 2018
1.03/1.25	% done 964 iterations in 1.044s
1.03/1.25	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
1.03/1.25	% SZS output start Refutation
1.03/1.25	tff(fact_63_zero__less__int__conv, axiom,
1.03/1.25	  (![Na:nat]:
1.03/1.25	     (ord_less(int,zero_zero(int),semiring_1_of_nat(int,Na)) <=>
1.03/1.25	      ord_less(nat,zero_zero(nat),Na)))).
1.03/1.25	tff('0', plain,
1.03/1.25	    ![X165 : nat]:
1.03/1.25	      (ord_less(int, zero_zero(int), semiring_1_of_nat(int, X165))
1.03/1.25	       | ~ ord_less(nat, zero_zero(nat), X165)),
1.03/1.25	    inference('cnf', [status(esa)], [fact_63_zero__less__int__conv])).
1.03/1.25	tff(fact_95_pos__add__strict, axiom,
1.03/1.25	  (![A:$tType]:
1.03/1.25	     (linordered_semidom(A) =>
1.03/1.25	      (![C:A,B:A,A1:A]:
1.03/1.25	         (ord_less(A,zero_zero(A),A1) =>
1.03/1.25	          (ord_less(A,B,C) => ord_less(A,B,plus_plus(A,A1,C)))))))).
1.03/1.25	tff('1', plain,
1.03/1.25	    ![X241 : $tType, X242 : X241, X243 : X241, X244 : X241]:
1.03/1.25	      (ord_less(X241, X242, plus_plus(X241, X243, X244))
1.03/1.25	       | ~ ord_less(X241, zero_zero(X241), X243)
1.03/1.25	       | ~ ord_less(X241, X242, X244)
1.03/1.25	       | ~ linordered_semidom(X241)),
1.03/1.25	    inference('cnf', [status(esa)], [fact_95_pos__add__strict])).
1.03/1.25	tff(conj_0, conjecture,
1.03/1.25	  (ord_less(int,zero_zero(int),
1.03/1.25	            plus_plus(int,one_one(int),semiring_1_of_nat(int,n))))).
1.03/1.25	tff(zf_stmt_0, negated_conjecture,
1.03/1.25	  (~
1.03/1.25	    ord_less(int,zero_zero(int),
1.03/1.25	             plus_plus(int,one_one(int),semiring_1_of_nat(int,n))))).
1.03/1.25	tff('2', plain,
1.03/1.25	    ~ ord_less(int, zero_zero(int), 
1.03/1.25	        plus_plus(int, one_one(int), semiring_1_of_nat(int, n))),
1.03/1.25	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.03/1.25	tff('3', plain,
1.03/1.25	    (~ $true
1.03/1.25	     | ~ linordered_semidom(int)
1.03/1.25	     | ~ ord_less(int, zero_zero(int), semiring_1_of_nat(int, n))
1.03/1.25	     | ~ ord_less(int, zero_zero(int), one_one(int))),
1.03/1.25	    inference('sup-', [status(thm)], ['1', '2'])).
1.03/1.25	tff(arity_Int_Oint___Rings_Olinordered__semidom, axiom,
1.03/1.25	  (linordered_semidom(int))).
1.03/1.25	tff('4', plain, linordered_semidom(int),
1.03/1.25	    inference('cnf', [status(esa)],
1.03/1.25	              [arity_Int_Oint___Rings_Olinordered__semidom])).
1.03/1.25	tff(fact_52_int__1, axiom,
1.03/1.25	  (semiring_1_of_nat(int,one_one(nat)) = one_one(int))).
1.03/1.25	tff('5', plain, semiring_1_of_nat(int, one_one(nat)) = one_one(int),
1.03/1.25	    inference('cnf', [status(esa)], [fact_52_int__1])).
1.03/1.25	tff(fact_62_int__0, axiom,
1.03/1.25	  (semiring_1_of_nat(int,zero_zero(nat)) = zero_zero(int))).
1.03/1.25	tff('6', plain, semiring_1_of_nat(int, zero_zero(nat)) = zero_zero(int),
1.03/1.25	    inference('cnf', [status(esa)], [fact_62_int__0])).
1.03/1.25	tff(fact_7_of__nat__add, axiom,
1.03/1.25	  (![A:$tType]:
1.03/1.25	     (semiring_1(A) =>
1.03/1.25	      (![N1:nat,M:nat]:
1.03/1.25	         (semiring_1_of_nat(A,plus_plus(nat,M,N1)) =
1.03/1.25	          plus_plus(A,semiring_1_of_nat(A,M),semiring_1_of_nat(A,N1))))))).
1.03/1.25	tff('7', plain,
1.03/1.25	    ![X10 : $tType, X11 : nat, X12 : nat]:
1.03/1.25	      (semiring_1_of_nat(X10, plus_plus(nat, X11, X12))
1.03/1.25	        = plus_plus(X10, semiring_1_of_nat(X10, X11), 
1.03/1.25	            semiring_1_of_nat(X10, X12))
1.03/1.25	       | ~ semiring_1(X10)),
1.03/1.25	    inference('cnf', [status(esa)], [fact_7_of__nat__add])).
1.03/1.25	tff('8', plain,
1.03/1.25	    ![X0 : nat]:
1.03/1.25	      (semiring_1_of_nat(int, plus_plus(nat, zero_zero(nat), X0))
1.03/1.25	        = plus_plus(int, zero_zero(int), semiring_1_of_nat(int, X0))
1.03/1.25	       | ~ semiring_1(int)),
1.03/1.25	    inference('sup+', [status(thm)], ['6', '7'])).
1.03/1.25	tff(fact_31_plus__nat_Oadd__0, axiom,
1.03/1.25	  (![N1:nat]: (plus_plus(nat,zero_zero(nat),N1) = N1))).
1.03/1.25	tff('9', plain, ![X81 : nat]: plus_plus(nat, zero_zero(nat), X81) = X81,
1.03/1.25	    inference('cnf', [status(esa)], [fact_31_plus__nat_Oadd__0])).
1.03/1.25	tff(arity_Int_Oint___Rings_Osemiring__1, axiom, (semiring_1(int))).
1.03/1.25	tff('10', plain, semiring_1(int),
1.03/1.25	    inference('cnf', [status(esa)], [arity_Int_Oint___Rings_Osemiring__1])).
1.03/1.25	tff('11', plain,
1.03/1.25	    ![X0 : nat]:
1.03/1.25	      (semiring_1_of_nat(int, X0)
1.03/1.25	        = plus_plus(int, zero_zero(int), semiring_1_of_nat(int, X0))
1.03/1.25	       | ~ $true),
1.03/1.25	    inference('demod', [status(thm)], ['8', '9', '10'])).
1.03/1.25	tff('12', plain,
1.03/1.25	    ![X0 : nat]:
1.03/1.25	      semiring_1_of_nat(int, X0)
1.03/1.25	       = plus_plus(int, zero_zero(int), semiring_1_of_nat(int, X0)),
1.03/1.25	    inference('simplify', [status(thm)], ['11'])).
1.03/1.25	tff('13', plain,
1.03/1.25	    semiring_1_of_nat(int, one_one(nat))
1.03/1.25	     = plus_plus(int, zero_zero(int), one_one(int)),
1.03/1.25	    inference('sup+', [status(thm)], ['5', '12'])).
1.03/1.25	tff('14', plain, one_one(int) = plus_plus(int, zero_zero(int), one_one(int)),
1.03/1.25	    inference('demod', [status(thm)], ['13', '5'])).
1.03/1.25	tff(fact_80_zless__add1__eq, axiom,
1.03/1.25	  (![Z:int,W:int]:
1.03/1.25	     (ord_less(int,W,plus_plus(int,Z,one_one(int))) <=>
1.03/1.25	      ((W = Z) | ord_less(int,W,Z))))).
1.03/1.25	tff('15', plain,
1.03/1.25	    ![X214 : int, X215 : int]:
1.03/1.25	      (ord_less(int, X215, plus_plus(int, X214, one_one(int))) | X215 != X214),
1.03/1.25	    inference('cnf', [status(esa)], [fact_80_zless__add1__eq])).
1.03/1.25	tff('16', plain,
1.03/1.25	    ![X214 : int]: ord_less(int, X214, plus_plus(int, X214, one_one(int))),
1.03/1.25	    inference('simplify', [status(thm)], ['15'])).
1.03/1.25	tff('17', plain, ord_less(int, zero_zero(int), one_one(int)),
1.03/1.25	    inference('sup+', [status(thm)], ['14', '16'])).
1.03/1.25	tff('18', plain,
1.03/1.25	    (~ $true
1.03/1.25	     | ~ $true
1.03/1.25	     | ~ ord_less(int, zero_zero(int), semiring_1_of_nat(int, n))
1.03/1.25	     | ~ $true),
1.03/1.25	    inference('demod', [status(thm)], ['3', '4', '17'])).
1.03/1.25	tff('19', plain, ~ ord_less(int, zero_zero(int), semiring_1_of_nat(int, n)),
1.03/1.25	    inference('simplify', [status(thm)], ['18'])).
1.03/1.25	tff('20', plain, (~ $true | ~ ord_less(nat, zero_zero(nat), n)),
1.03/1.25	    inference('sup-', [status(thm)], ['0', '19'])).
1.03/1.25	tff(fact_1_n0, axiom, (ord_less(nat,zero_zero(nat),n))).
1.03/1.25	tff('21', plain, ord_less(nat, zero_zero(nat), n),
1.03/1.25	    inference('cnf', [status(esa)], [fact_1_n0])).
1.03/1.25	tff('22', plain, (~ $true | ~ $true),
1.03/1.25	    inference('demod', [status(thm)], ['20', '21'])).
1.03/1.25	tff('23', plain, $false, inference('simplify', [status(thm)], ['22'])).
1.03/1.25	
1.03/1.25	% SZS output end Refutation
1.03/1.25	EOF
