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    : 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	  --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
0.00/0.19	% Computer   : n101.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
0.00/0.19	% CPULimit   : 300
0.00/0.19	% DateTime   : Fri Feb  2 08:50:38 CST 2018
65.40/65.59	% done 11249 iterations in 65.392s
65.40/65.59	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
65.40/65.59	% SZS output start Refutation
65.40/65.59	tff(arity_Int_Oint___Rings_Olinordered__semidom, axiom,
65.40/65.59	  (linordered_semidom(int))).
65.40/65.59	tff('0', plain, linordered_semidom(int),
65.40/65.59	    inference('cnf', [status(esa)],
65.40/65.59	              [arity_Int_Oint___Rings_Olinordered__semidom])).
65.40/65.59	tff(fact_33_nat__add__commute, axiom,
65.40/65.59	  (![N1:nat,M:nat]: (plus_plus(nat,M,N1) = plus_plus(nat,N1,M)))).
65.40/65.59	tff('1', plain,
65.40/65.59	    ![X83 : nat, X84 : nat]:
65.40/65.59	      plus_plus(nat, X84, X83) = plus_plus(nat, X83, X84),
65.40/65.59	    inference('cnf', [status(esa)], [fact_33_nat__add__commute])).
65.40/65.59	tff(fact_31_plus__nat_Oadd__0, axiom,
65.40/65.59	  (![N1:nat]: (plus_plus(nat,zero_zero(nat),N1) = N1))).
65.40/65.59	tff('2', plain, ![X81 : nat]: plus_plus(nat, zero_zero(nat), X81) = X81,
65.40/65.59	    inference('cnf', [status(esa)], [fact_31_plus__nat_Oadd__0])).
65.40/65.59	tff(fact_1_n0, axiom, (ord_less(nat,zero_zero(nat),n))).
65.40/65.59	tff('3', plain, ord_less(nat, zero_zero(nat), n),
65.40/65.59	    inference('cnf', [status(esa)], [fact_1_n0])).
65.40/65.59	tff(fact_45_less__add__eq__less, axiom,
65.40/65.59	  (![N1:nat,M:nat,L:nat,K2:nat]:
65.40/65.59	     (ord_less(nat,K2,L) =>
65.40/65.59	      ((plus_plus(nat,M,L) = plus_plus(nat,K2,N1)) => ord_less(nat,M,N1))))).
65.40/65.59	tff('4', plain,
65.40/65.59	    ![X113 : nat, X114 : nat, X115 : nat, X116 : nat]:
65.40/65.59	      (ord_less(nat, X113, X114)
65.40/65.59	       | ~ ord_less(nat, X115, X116)
65.40/65.59	       | plus_plus(nat, X113, X116) != plus_plus(nat, X115, X114)),
65.40/65.59	    inference('cnf', [status(esa)], [fact_45_less__add__eq__less])).
65.40/65.59	tff('5', plain,
65.40/65.59	    ![X0 : nat, X1 : nat]:
65.40/65.59	      (~ $true
65.40/65.59	       | plus_plus(nat, X0, n) != plus_plus(nat, zero_zero(nat), X1)
65.40/65.59	       | ord_less(nat, X0, X1)),
65.40/65.59	    inference('sup-', [status(thm)], ['3', '4'])).
65.40/65.59	tff('6', plain,
65.40/65.59	    ![X0 : nat, X1 : nat]:
65.40/65.59	      (~ $true | plus_plus(nat, X0, n) != X1 | ord_less(nat, X0, X1)),
65.40/65.59	    inference('demod', [status(thm)], ['5', '2'])).
65.40/65.59	tff('7', plain, ![X0 : nat]: ord_less(nat, X0, plus_plus(nat, X0, n)),
65.40/65.59	    inference('simplify', [status(thm)], ['6'])).
65.40/65.59	tff(fact_47_add__lessD1, axiom,
65.40/65.59	  (![K2:nat,J:nat,I:nat]:
65.40/65.59	     (ord_less(nat,plus_plus(nat,I,J),K2) => ord_less(nat,I,K2)))).
65.40/65.59	tff('8', plain,
65.40/65.59	    ![X119 : nat, X120 : nat, X121 : nat]:
65.40/65.59	      (ord_less(nat, X119, X120)
65.40/65.59	       | ~ ord_less(nat, plus_plus(nat, X119, X121), X120)),
65.40/65.59	    inference('cnf', [status(esa)], [fact_47_add__lessD1])).
65.40/65.59	tff('9', plain,
65.40/65.59	    ![X0 : nat, X1 : nat]:
65.40/65.59	      (~ $true | ord_less(nat, X1, plus_plus(nat, plus_plus(nat, X1, X0), n))),
65.40/65.59	    inference('sup-', [status(thm)], ['7', '8'])).
65.40/65.59	tff(fact_35_nat__add__assoc, axiom,
65.40/65.59	  (![K2:nat,N1:nat,M:nat]:
65.40/65.59	     (plus_plus(nat,plus_plus(nat,M,N1),K2) =
65.40/65.59	      plus_plus(nat,M,plus_plus(nat,N1,K2))))).
65.40/65.59	tff('10', plain,
65.40/65.59	    ![X88 : nat, X89 : nat, X90 : nat]:
65.40/65.59	      plus_plus(nat, plus_plus(nat, X88, X89), X90)
65.40/65.59	       = plus_plus(nat, X88, plus_plus(nat, X89, X90)),
65.40/65.59	    inference('cnf', [status(esa)], [fact_35_nat__add__assoc])).
65.40/65.59	tff('11', plain,
65.40/65.59	    ![X0 : nat, X1 : nat, X2 : nat]:
65.40/65.59	      plus_plus(nat, plus_plus(nat, X1, X0), X2)
65.40/65.59	       = plus_plus(nat, X0, plus_plus(nat, X1, X2)),
65.40/65.59	    inference('sup+', [status(thm)], ['1', '10'])).
65.40/65.59	tff('12', plain,
65.40/65.59	    ![X0 : nat, X1 : nat]:
65.40/65.59	      (~ $true | ord_less(nat, X1, plus_plus(nat, X0, plus_plus(nat, X1, n)))),
65.40/65.59	    inference('demod', [status(thm)], ['9', '11'])).
65.40/65.59	tff('13', plain,
65.40/65.59	    ![X0 : nat, X1 : nat]:
65.40/65.59	      ord_less(nat, X1, plus_plus(nat, X0, plus_plus(nat, X1, n))),
65.40/65.59	    inference('simplify', [status(thm)], ['12'])).
65.40/65.59	tff('14', plain,
65.40/65.59	    ![X0 : nat]: ord_less(nat, zero_zero(nat), plus_plus(nat, X0, n)),
65.40/65.59	    inference('sup+', [status(thm)], ['2', '13'])).
65.40/65.59	tff('15', plain,
65.40/65.59	    ![X0 : nat]: ord_less(nat, zero_zero(nat), plus_plus(nat, n, X0)),
65.40/65.59	    inference('sup+', [status(thm)], ['1', '14'])).
65.40/65.59	tff(fact_8_of__nat__less__iff, axiom,
65.40/65.59	  (![A:$tType]:
65.40/65.59	     (linordered_semidom(A) =>
65.40/65.59	      (![Na:nat,Ma:nat]:
65.40/65.59	         (ord_less(A,semiring_1_of_nat(A,Ma),semiring_1_of_nat(A,Na)) <=>
65.40/65.59	          ord_less(nat,Ma,Na)))))).
65.40/65.59	tff('16', plain,
65.40/65.59	    ![X13 : nat, X14 : nat, X15 : $tType]:
65.40/65.59	      (~ ord_less(nat, X13, X14)
65.40/65.59	       | ord_less(X15, semiring_1_of_nat(X15, X13), 
65.40/65.59	           semiring_1_of_nat(X15, X14))
65.40/65.59	       | ~ linordered_semidom(X15)),
65.40/65.59	    inference('cnf', [status(esa)], [fact_8_of__nat__less__iff])).
65.40/65.59	tff('17', plain,
65.40/65.60	    ![X0 : nat, X1 : $tType]:
65.40/65.60	      (~ $true
65.40/65.60	       | ~ linordered_semidom(X1)
65.40/65.60	       | ord_less(X1, semiring_1_of_nat(X1, zero_zero(nat)), 
65.40/65.60	           semiring_1_of_nat(X1, plus_plus(nat, n, X0)))),
65.40/65.60	    inference('sup-', [status(thm)], ['15', '16'])).
65.40/65.60	tff('18', plain,
65.40/65.60	    ![X0 : nat, X1 : $tType]:
65.40/65.60	      (ord_less(X1, semiring_1_of_nat(X1, zero_zero(nat)), 
65.40/65.60	         semiring_1_of_nat(X1, plus_plus(nat, n, X0)))
65.40/65.60	       | ~ linordered_semidom(X1)),
65.40/65.60	    inference('simplify', [status(thm)], ['17'])).
65.40/65.60	tff('19', plain,
65.40/65.60	    ![X0 : nat]:
65.40/65.60	      (~ $true
65.40/65.60	       | ord_less(int, semiring_1_of_nat(int, zero_zero(nat)), 
65.40/65.60	           semiring_1_of_nat(int, plus_plus(nat, n, X0)))),
65.40/65.60	    inference('sup-', [status(thm)], ['0', '18'])).
65.40/65.60	tff(fact_62_int__0, axiom,
65.40/65.60	  (semiring_1_of_nat(int,zero_zero(nat)) = zero_zero(int))).
65.40/65.60	tff('20', plain, semiring_1_of_nat(int, zero_zero(nat)) = zero_zero(int),
65.40/65.60	    inference('cnf', [status(esa)], [fact_62_int__0])).
65.40/65.60	tff(fact_51_zadd__int, axiom,
65.40/65.60	  (![N1:nat,M:nat]:
65.40/65.60	     (plus_plus(int,semiring_1_of_nat(int,M),semiring_1_of_nat(int,N1)) =
65.40/65.60	      semiring_1_of_nat(int,plus_plus(nat,M,N1))))).
65.40/65.60	tff('21', plain,
65.40/65.60	    ![X132 : nat, X133 : nat]:
65.40/65.60	      plus_plus(int, semiring_1_of_nat(int, X132), 
65.40/65.60	        semiring_1_of_nat(int, X133))
65.40/65.60	       = semiring_1_of_nat(int, plus_plus(nat, X132, X133)),
65.40/65.60	    inference('cnf', [status(esa)], [fact_51_zadd__int])).
65.40/65.60	tff('22', plain,
65.40/65.60	    ![X0 : nat, X1 : nat]:
65.40/65.60	      plus_plus(int, semiring_1_of_nat(int, X0), semiring_1_of_nat(int, X1))
65.40/65.60	       = semiring_1_of_nat(int, plus_plus(nat, X1, X0)),
65.40/65.60	    inference('sup+', [status(thm)], ['1', '21'])).
65.40/65.60	tff('23', plain,
65.40/65.60	    ![X0 : nat]:
65.40/65.60	      (~ $true
65.40/65.60	       | ord_less(int, zero_zero(int), 
65.40/65.60	           plus_plus(int, semiring_1_of_nat(int, X0), 
65.40/65.60	             semiring_1_of_nat(int, n)))),
65.40/65.60	    inference('demod', [status(thm)], ['19', '20', '22'])).
65.40/65.60	tff('24', plain,
65.40/65.60	    ![X0 : nat]:
65.40/65.60	      ord_less(int, zero_zero(int), 
65.40/65.60	        plus_plus(int, semiring_1_of_nat(int, X0), semiring_1_of_nat(int, n))),
65.40/65.60	    inference('simplify', [status(thm)], ['23'])).
65.40/65.60	tff(conj_0, conjecture,
65.40/65.60	  (ord_less(int,zero_zero(int),
65.40/65.60	            plus_plus(int,one_one(int),semiring_1_of_nat(int,n))))).
65.40/65.60	tff(zf_stmt_0, negated_conjecture,
65.40/65.60	  (~
65.40/65.60	    ord_less(int,zero_zero(int),
65.40/65.60	             plus_plus(int,one_one(int),semiring_1_of_nat(int,n))))).
65.40/65.60	tff('25', plain,
65.40/65.60	    ~ ord_less(int, zero_zero(int), 
65.40/65.60	        plus_plus(int, one_one(int), semiring_1_of_nat(int, n))),
65.40/65.60	    inference('cnf', [status(esa)], [zf_stmt_0])).
65.40/65.60	tff(fact_52_int__1, axiom,
65.40/65.60	  (semiring_1_of_nat(int,one_one(nat)) = one_one(int))).
65.40/65.60	tff('26', plain, semiring_1_of_nat(int, one_one(nat)) = one_one(int),
65.40/65.60	    inference('cnf', [status(esa)], [fact_52_int__1])).
65.40/65.60	tff('27', plain,
65.40/65.60	    ~ ord_less(int, zero_zero(int), 
65.40/65.60	        plus_plus(int, semiring_1_of_nat(int, one_one(nat)), 
65.40/65.60	          semiring_1_of_nat(int, n))),
65.40/65.60	    inference('demod', [status(thm)], ['25', '26'])).
65.40/65.60	tff('28', plain, ~ $true, inference('sup-', [status(thm)], ['24', '27'])).
65.40/65.60	tff('29', plain, $false, inference('simplify', [status(thm)], ['28'])).
65.40/65.60	
65.40/65.60	% SZS output end Refutation
65.40/65.60	EOF
