TSTP Solution File: KLE172+1 by Refute---2015
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%------------------------------------------------------------------------------
% File : Refute---2015
% Problem : KLE172+1 : TPTP v6.4.0. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : isabelle tptp_refute %d %s
% Computer : n110.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.75MB
% OS : Linux 3.10.0-327.10.1.el7.x86_64
% CPULimit : 300s
% DateTime : Tue Apr 12 16:15:51 EDT 2016
% Result : CounterSatisfiable 279.75s
% Output : Assurance 0s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KLE172+1 : TPTP v6.4.0. Released v5.5.0.
% 0.00/0.04 % Command : isabelle tptp_refute %d %s
% 0.02/0.23 % Computer : n110.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.75MB
% 0.02/0.23 % OS : Linux 3.10.0-327.10.1.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Sat Apr 9 22:09:24 CDT 2016
% 0.02/0.23 % CPUTime :
% 6.30/5.84 > val it = (): unit
% 6.50/6.04 Trying to find a model that refutes: bnd_leq
% 6.50/6.04 (bnd_multiplication bnd_a
% 6.50/6.04 (bnd_multiplication bnd_b
% 6.50/6.04 (bnd_multiplication bnd_b (bnd_multiplication bnd_a bnd_b))))
% 6.50/6.04 (bnd_multiplication (bnd_star bnd_sigma)
% 6.50/6.04 (bnd_multiplication bnd_a (bnd_multiplication bnd_sigma bnd_a)))
% 6.90/6.51 Unfolded term: [| bnd_sigma = bnd_addition bnd_a bnd_b;
% 6.90/6.51 ALL A B C.
% 6.90/6.51 bnd_leq (bnd_addition (bnd_multiplication A B) C) A -->
% 6.90/6.51 bnd_leq (bnd_multiplication C (bnd_star B)) A;
% 6.90/6.51 ALL A B C.
% 6.90/6.51 bnd_leq (bnd_addition (bnd_multiplication A B) C) B -->
% 6.90/6.51 bnd_leq (bnd_multiplication (bnd_star A) C) B;
% 6.90/6.51 ALL A.
% 6.90/6.51 bnd_leq (bnd_addition bnd_one (bnd_multiplication (bnd_star A) A))
% 6.90/6.51 (bnd_star A);
% 6.90/6.51 ALL A.
% 6.90/6.51 bnd_leq (bnd_addition bnd_one (bnd_multiplication A (bnd_star A)))
% 6.90/6.51 (bnd_star A);
% 6.90/6.51 ALL A B. bnd_leq A B = (bnd_addition A B = B);
% 6.90/6.51 ALL A. bnd_multiplication bnd_zero A = bnd_zero;
% 6.90/6.51 ALL A. bnd_multiplication A bnd_zero = bnd_zero;
% 6.90/6.51 ALL A B C.
% 6.90/6.51 bnd_multiplication (bnd_addition A B) C =
% 6.90/6.51 bnd_addition (bnd_multiplication A C) (bnd_multiplication B C);
% 6.90/6.51 ALL A B C.
% 6.90/6.51 bnd_multiplication A (bnd_addition B C) =
% 6.90/6.51 bnd_addition (bnd_multiplication A B) (bnd_multiplication A C);
% 6.90/6.51 ALL A. bnd_multiplication bnd_one A = A;
% 6.90/6.51 ALL A. bnd_multiplication A bnd_one = A;
% 7.01/6.51 ALL A B C.
% 7.01/6.51 bnd_multiplication A (bnd_multiplication B C) =
% 7.01/6.51 bnd_multiplication (bnd_multiplication A B) C;
% 7.01/6.51 ALL A. bnd_addition A A = A; ALL A. bnd_addition A bnd_zero = A;
% 7.01/6.51 ALL C B A.
% 7.01/6.51 bnd_addition A (bnd_addition B C) = bnd_addition (bnd_addition A B) C;
% 7.01/6.51 ALL A B. bnd_addition A B = bnd_addition B A |]
% 7.01/6.51 ==> bnd_leq
% 7.01/6.51 (bnd_multiplication bnd_a
% 7.01/6.51 (bnd_multiplication bnd_b
% 7.01/6.51 (bnd_multiplication bnd_b (bnd_multiplication bnd_a bnd_b))))
% 7.01/6.51 (bnd_multiplication (bnd_star bnd_sigma)
% 7.01/6.51 (bnd_multiplication bnd_a (bnd_multiplication bnd_sigma bnd_a)))
% 7.01/6.51 Adding axioms...
% 7.01/6.51 Typedef.type_definition_def
% 9.60/9.19 ...done.
% 9.60/9.19 Ground types: ?'b, TPTP_Interpret.ind
% 9.60/9.19 Translating term (sizes: 1, 1) ...
% 11.21/10.71 Invoking SAT solver...
% 11.21/10.71 No model exists.
% 11.21/10.71 Translating term (sizes: 2, 1) ...
% 13.41/12.93 Invoking SAT solver...
% 13.41/12.93 No model exists.
% 13.41/12.93 Translating term (sizes: 1, 2) ...
% 18.32/17.87 Invoking SAT solver...
% 18.32/17.89 No model exists.
% 18.32/17.89 Translating term (sizes: 3, 1) ...
% 23.03/22.52 Invoking SAT solver...
% 23.03/22.52 No model exists.
% 23.03/22.52 Translating term (sizes: 2, 2) ...
% 35.76/35.28 Invoking SAT solver...
% 35.76/35.29 No model exists.
% 35.76/35.29 Translating term (sizes: 1, 3) ...
% 49.08/48.52 Invoking SAT solver...
% 52.82/52.21 No model exists.
% 52.82/52.21 Translating term (sizes: 4, 1) ...
% 64.55/63.98 Invoking SAT solver...
% 64.55/63.98 No model exists.
% 64.55/63.98 Translating term (sizes: 3, 2) ...
% 157.32/156.48 Invoking SAT solver...
% 157.42/156.50 No model exists.
% 157.42/156.50 Translating term (sizes: 2, 3) ...
% 211.59/210.40 Invoking SAT solver...
% 215.24/214.02 No model exists.
% 215.24/214.02 Translating term (sizes: 1, 4) ...
% 244.28/242.82 Invoking SAT solver...
% 279.75/277.62 Model found:
% 279.75/277.62 Size of types: ?'b: 1, TPTP_Interpret.ind: 4
% 279.75/277.62 bnd_zero: ??.TPTP_Interpret.ind3
% 279.75/277.62 bnd_one: ??.TPTP_Interpret.ind2
% 279.75/277.62 bnd_star: {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind2),
% 279.75/277.62 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1),
% 279.75/277.62 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind2),
% 279.75/277.62 (??.TPTP_Interpret.ind3, ??.TPTP_Interpret.ind2)}
% 279.75/277.62 bnd_multiplication: {(??.TPTP_Interpret.ind0,
% 279.75/277.62 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 279.75/277.62 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1),
% 279.75/277.62 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind0),
% 279.75/277.62 (??.TPTP_Interpret.ind3, ??.TPTP_Interpret.ind3)}),
% 279.75/277.62 (??.TPTP_Interpret.ind1,
% 279.75/277.62 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 279.75/277.62 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1),
% 279.75/277.62 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind1),
% 279.75/277.62 (??.TPTP_Interpret.ind3, ??.TPTP_Interpret.ind3)}),
% 279.75/277.62 (??.TPTP_Interpret.ind2,
% 279.75/277.62 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 279.75/277.62 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1),
% 279.75/277.62 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind2),
% 279.75/277.62 (??.TPTP_Interpret.ind3, ??.TPTP_Interpret.ind3)}),
% 279.75/277.62 (??.TPTP_Interpret.ind3,
% 279.75/277.62 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind3),
% 279.75/277.62 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind3),
% 279.75/277.62 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind3),
% 279.75/277.62 (??.TPTP_Interpret.ind3, ??.TPTP_Interpret.ind3)})}
% 279.75/277.62 bnd_leq: {(??.TPTP_Interpret.ind0,
% 279.75/277.62 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True),
% 279.75/277.62 (??.TPTP_Interpret.ind2, True), (??.TPTP_Interpret.ind3, False)}),
% 279.75/277.62 (??.TPTP_Interpret.ind1,
% 279.75/277.62 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True),
% 279.75/277.62 (??.TPTP_Interpret.ind2, False), (??.TPTP_Interpret.ind3, False)}),
% 279.75/277.62 (??.TPTP_Interpret.ind2,
% 279.75/277.62 {(??.TPTP_Interpret.ind0, False), (??.TPTP_Interpret.ind1, True),
% 279.75/277.62 (??.TPTP_Interpret.ind2, True), (??.TPTP_Interpret.ind3, False)}),
% 279.75/277.62 (??.TPTP_Interpret.ind3,
% 279.75/277.62 {(??.TPTP_Interpret.ind0, True), (??.TPTP_Interpret.ind1, True),
% 279.75/277.62 (??.TPTP_Interpret.ind2, True), (??.TPTP_Interpret.ind3, True)})}
% 279.75/277.62 bnd_b: ??.TPTP_Interpret.ind1
% 279.75/277.62 bnd_a: ??.TPTP_Interpret.ind0
% 279.75/277.62 bnd_addition: {(??.TPTP_Interpret.ind0,
% 279.75/277.62 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 279.75/277.62 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1),
% 279.75/277.62 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind2),
% 279.75/277.62 (??.TPTP_Interpret.ind3, ??.TPTP_Interpret.ind0)}),
% 279.75/277.62 (??.TPTP_Interpret.ind1,
% 279.75/277.62 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind1),
% 279.75/277.62 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1),
% 279.75/277.62 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind1),
% 279.75/277.62 (??.TPTP_Interpret.ind3, ??.TPTP_Interpret.ind1)}),
% 279.75/277.62 (??.TPTP_Interpret.ind2,
% 279.75/277.62 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind2),
% 279.75/277.62 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1),
% 279.75/277.62 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind2),
% 279.75/277.62 (??.TPTP_Interpret.ind3, ??.TPTP_Interpret.ind2)}),
% 279.75/277.62 (??.TPTP_Interpret.ind3,
% 279.75/277.62 {(??.TPTP_Interpret.ind0, ??.TPTP_Interpret.ind0),
% 279.75/277.62 (??.TPTP_Interpret.ind1, ??.TPTP_Interpret.ind1),
% 279.75/277.62 (??.TPTP_Interpret.ind2, ??.TPTP_Interpret.ind2),
% 279.75/277.62 (??.TPTP_Interpret.ind3, ??.TPTP_Interpret.ind3)})}
% 279.75/277.62 bnd_sigma: ??.TPTP_Interpret.ind1
% 279.75/277.62
% 279.75/277.62 % SZS status CounterSatisfiable
%------------------------------------------------------------------------------