TSTP Solution File: GRP035-3 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GRP035-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:08:42 EDT 2022
% Result : Unsatisfiable 83.64s 11.08s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP035-3 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.15/0.35 % Computer : n025.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Tue Jun 14 01:09:24 EDT 2022
% 0.15/0.35 % CPUTime :
% 83.64/11.08 % SZS status Unsatisfiable
% 83.64/11.08 % SZS output begin IncompleteProof
% 83.64/11.08 cnf(c0, axiom,
% 83.64/11.08 ~subgroup_member(c)).
% 83.64/11.08 cnf(c1, plain,
% 83.64/11.08 ~subgroup_member(c),
% 83.64/11.08 inference(start, [], [c0])).
% 83.64/11.08
% 83.64/11.08 cnf(c2, axiom,
% 83.64/11.08 subgroup_member(X0) | ~product(X1,inverse(X2),X0) | ~subgroup_member(X2) | ~subgroup_member(X1)).
% 83.64/11.08 cnf(a0, assumption,
% 83.64/11.08 c = X0).
% 83.64/11.08 cnf(c3, plain,
% 83.64/11.08 $false,
% 83.64/11.08 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 83.64/11.08 cnf(c4, plain,
% 83.64/11.08 ~product(X1,inverse(X2),X0) | ~subgroup_member(X2) | ~subgroup_member(X1),
% 83.64/11.08 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])).
% 83.64/11.08
% 83.64/11.08 cnf(c5, axiom,
% 83.64/11.08 product(X3,X4,X5) | ~product(X6,X7,X5) | ~product(X8,X4,X7) | ~product(X6,X8,X3)).
% 83.64/11.08 cnf(a1, assumption,
% 83.64/11.08 X1 = X3).
% 83.64/11.08 cnf(a2, assumption,
% 83.64/11.08 inverse(X2) = X4).
% 83.64/11.08 cnf(a3, assumption,
% 83.64/11.08 X0 = X5).
% 83.64/11.08 cnf(c6, plain,
% 83.64/11.08 ~subgroup_member(X2) | ~subgroup_member(X1),
% 83.64/11.08 inference(strict_predicate_extension, [assumptions([a1, a2, a3])], [c4, c5])).
% 83.64/11.08 cnf(c7, plain,
% 83.64/11.08 ~product(X6,X7,X5) | ~product(X8,X4,X7) | ~product(X6,X8,X3),
% 83.64/11.08 inference(strict_predicate_extension, [assumptions([a1, a2, a3])], [c4, c5])).
% 83.64/11.08
% 83.64/11.08 cnf(c8, axiom,
% 83.64/11.08 product(X9,identity,X9)).
% 83.64/11.08 cnf(a4, assumption,
% 83.64/11.08 X6 = X9).
% 83.64/11.08 cnf(a5, assumption,
% 83.64/11.08 X7 = identity).
% 83.64/11.08 cnf(a6, assumption,
% 83.64/11.08 X5 = X9).
% 83.64/11.08 cnf(c9, plain,
% 83.64/11.08 ~product(X8,X4,X7) | ~product(X6,X8,X3),
% 83.64/11.08 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c7, c8])).
% 83.64/11.08 cnf(c10, plain,
% 83.64/11.08 $false,
% 83.64/11.08 inference(strict_predicate_extension, [assumptions([a4, a5, a6])], [c7, c8])).
% 83.64/11.08
% 83.64/11.08 cnf(c11, axiom,
% 83.64/11.08 product(X10,inverse(X10),identity)).
% 83.64/11.08 cnf(a7, assumption,
% 83.64/11.08 X8 = X10).
% 83.64/11.08 cnf(a8, assumption,
% 83.64/11.08 X4 = inverse(X10)).
% 83.64/11.08 cnf(a9, assumption,
% 83.64/11.08 X7 = identity).
% 83.64/11.08 cnf(c12, plain,
% 83.64/11.08 ~product(X6,X8,X3),
% 83.64/11.08 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c9, c11])).
% 83.64/11.08 cnf(c13, plain,
% 83.64/11.08 $false,
% 83.64/11.08 inference(strict_predicate_extension, [assumptions([a7, a8, a9])], [c9, c11])).
% 83.64/11.08
% 83.64/11.08 cnf(c14, axiom,
% 83.64/11.08 product(X11,X12,X13) | ~product(X14,X15,X13) | ~product(X16,X12,X15) | ~product(X14,X16,X11)).
% 83.64/11.08 cnf(a10, assumption,
% 83.64/11.08 X6 = X11).
% 83.64/11.08 cnf(a11, assumption,
% 83.64/11.08 X8 = X12).
% 83.64/11.08 cnf(a12, assumption,
% 83.64/11.08 X3 = X13).
% 83.64/11.08 cnf(c15, plain,
% 83.64/11.08 $false,
% 83.64/11.08 inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c12, c14])).
% 83.64/11.08 cnf(c16, plain,
% 83.64/11.08 ~product(X14,X15,X13) | ~product(X16,X12,X15) | ~product(X14,X16,X11),
% 83.64/11.08 inference(strict_predicate_extension, [assumptions([a10, a11, a12])], [c12, c14])).
% 83.64/11.08
% 83.64/11.08 cnf(c17, axiom,
% 83.64/11.08 product(X17,identity,X17)).
% 83.64/11.08 cnf(a13, assumption,
% 83.64/11.08 X14 = X17).
% 83.64/11.08 cnf(a14, assumption,
% 83.64/11.08 X15 = identity).
% 83.64/11.08 cnf(a15, assumption,
% 83.64/11.08 X13 = X17).
% 83.64/11.08 cnf(c18, plain,
% 83.64/11.08 ~product(X16,X12,X15) | ~product(X14,X16,X11),
% 83.64/11.08 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c16, c17])).
% 83.64/11.08 cnf(c19, plain,
% 83.64/11.08 $false,
% 83.64/11.08 inference(strict_predicate_extension, [assumptions([a13, a14, a15])], [c16, c17])).
% 83.64/11.08
% 83.64/11.08 cnf(c20, axiom,
% 83.64/11.08 product(X18,inverse(X18),identity)).
% 83.64/11.08 cnf(a16, assumption,
% 83.64/11.08 X16 = X18).
% 83.64/11.08 cnf(a17, assumption,
% 83.64/11.08 X12 = inverse(X18)).
% 83.64/11.08 cnf(a18, assumption,
% 83.64/11.08 X15 = identity).
% 83.64/11.08 cnf(c21, plain,
% 83.64/11.08 ~product(X14,X16,X11),
% 83.64/11.08 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c18, c20])).
% 83.64/11.08 cnf(c22, plain,
% 83.64/11.08 $false,
% 83.64/11.08 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c18, c20])).
% 83.64/11.08
% 83.64/11.08 cnf(c23, axiom,
% 83.64/11.08 product(a,b,c)).
% 83.64/11.08 cnf(a19, assumption,
% 83.64/11.08 X14 = a).
% 83.64/11.08 cnf(a20, assumption,
% 83.64/11.08 X16 = b).
% 83.64/11.08 cnf(a21, assumption,
% 83.64/11.08 X11 = c).
% 83.64/11.08 cnf(c24, plain,
% 83.64/11.08 $false,
% 83.64/11.08 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c21, c23])).
% 83.64/11.08 cnf(c25, plain,
% 83.64/11.08 $false,
% 83.64/11.08 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c21, c23])).
% 83.64/11.08
% 83.64/11.08 cnf(c26, axiom,
% 83.64/11.08 subgroup_member(X19) | ~product(X20,inverse(X21),X19) | ~subgroup_member(X21) | ~subgroup_member(X20)).
% 83.64/11.08 cnf(a22, assumption,
% 83.64/11.08 X2 = X19).
% 83.64/11.08 cnf(c27, plain,
% 83.64/11.08 ~subgroup_member(X1),
% 83.64/11.08 inference(strict_predicate_extension, [assumptions([a22])], [c6, c26])).
% 83.64/11.08 cnf(c28, plain,
% 83.64/11.08 ~product(X20,inverse(X21),X19) | ~subgroup_member(X21) | ~subgroup_member(X20),
% 83.64/11.08 inference(strict_predicate_extension, [assumptions([a22])], [c6, c26])).
% 83.64/11.08
% 83.64/11.08 cnf(c29, axiom,
% 83.64/11.08 product(identity,X22,X22)).
% 83.64/11.08 cnf(a23, assumption,
% 83.64/11.08 X20 = identity).
% 83.64/11.08 cnf(a24, assumption,
% 83.64/11.08 inverse(X21) = X22).
% 83.64/11.08 cnf(a25, assumption,
% 83.64/11.08 X19 = X22).
% 83.64/11.08 cnf(c30, plain,
% 83.64/11.08 ~subgroup_member(X21) | ~subgroup_member(X20),
% 83.64/11.08 inference(strict_predicate_extension, [assumptions([a23, a24, a25])], [c28, c29])).
% 83.64/11.08 cnf(c31, plain,
% 83.64/11.08 $false,
% 83.64/11.08 inference(strict_predicate_extension, [assumptions([a23, a24, a25])], [c28, c29])).
% 83.64/11.08
% 83.64/11.08 cnf(c32, axiom,
% 83.64/11.08 subgroup_member(b)).
% 83.64/11.08 cnf(a26, assumption,
% 83.64/11.08 X21 = b).
% 83.64/11.08 cnf(c33, plain,
% 83.64/11.08 ~subgroup_member(X20),
% 83.64/11.08 inference(strict_predicate_extension, [assumptions([a26])], [c30, c32])).
% 83.64/11.08 cnf(c34, plain,
% 83.64/11.08 $false,
% 83.64/11.08 inference(strict_predicate_extension, [assumptions([a26])], [c30, c32])).
% 83.64/11.08
% 83.64/11.08 cnf(c35, axiom,
% 83.64/11.08 subgroup_member(X23) | ~product(X24,inverse(X25),X23) | ~subgroup_member(X25) | ~subgroup_member(X24)).
% 83.64/11.08 cnf(a27, assumption,
% 83.64/11.08 X20 = X23).
% 83.64/11.08 cnf(c36, plain,
% 83.64/11.08 $false,
% 83.64/11.08 inference(strict_predicate_extension, [assumptions([a27])], [c33, c35])).
% 83.64/11.08 cnf(c37, plain,
% 83.64/11.08 ~product(X24,inverse(X25),X23) | ~subgroup_member(X25) | ~subgroup_member(X24),
% 83.64/11.08 inference(strict_predicate_extension, [assumptions([a27])], [c33, c35])).
% 83.64/11.08
% 83.64/11.08 cnf(c38, plain,
% 83.64/11.08 product(X16,X12,X15)).
% 83.64/11.08 cnf(a28, assumption,
% 83.64/11.08 X24 = X16).
% 83.64/11.08 cnf(a29, assumption,
% 83.64/11.08 inverse(X25) = X12).
% 83.64/11.08 cnf(a30, assumption,
% 83.64/11.08 X23 = X15).
% 83.64/11.08 cnf(c39, plain,
% 83.64/11.08 ~subgroup_member(X25) | ~subgroup_member(X24),
% 83.64/11.08 inference(predicate_reduction, [assumptions([a28, a29, a30])], [c37, c38])).
% 83.64/11.08
% 83.64/11.08 cnf(c40, plain,
% 83.64/11.08 subgroup_member(X21)).
% 83.64/11.08 cnf(a31, assumption,
% 83.64/11.08 X25 = X21).
% 83.64/11.08 cnf(c41, plain,
% 83.64/11.08 ~subgroup_member(X24),
% 83.64/11.08 inference(predicate_reduction, [assumptions([a31])], [c39, c40])).
% 83.64/11.08
% 83.64/11.08 cnf(c42, plain,
% 83.64/11.08 subgroup_member(X21)).
% 83.64/11.08 cnf(a32, assumption,
% 83.64/11.08 X24 = X21).
% 83.64/11.08 cnf(c43, plain,
% 83.64/11.08 $false,
% 83.64/11.08 inference(predicate_reduction, [assumptions([a32])], [c41, c42])).
% 83.64/11.08
% 83.64/11.08 cnf(c44, axiom,
% 83.64/11.08 subgroup_member(a)).
% 83.64/11.08 cnf(a33, assumption,
% 83.64/11.08 X1 = a).
% 83.64/11.08 cnf(c45, plain,
% 83.64/11.08 $false,
% 83.64/11.08 inference(strict_predicate_extension, [assumptions([a33])], [c27, c44])).
% 83.64/11.08 cnf(c46, plain,
% 83.64/11.08 $false,
% 83.64/11.08 inference(strict_predicate_extension, [assumptions([a33])], [c27, c44])).
% 83.64/11.08
% 83.64/11.08 cnf(c47, plain,
% 83.64/11.08 $false,
% 83.64/11.08 inference(constraint_solving, [
% 83.64/11.08 bind(X0, c),
% 83.64/11.08 bind(X1, a),
% 83.64/11.08 bind(X2, inverse(X18)),
% 83.64/11.08 bind(X3, a),
% 83.64/11.08 bind(X4, inverse(X2)),
% 83.64/11.08 bind(X5, c),
% 83.64/11.08 bind(X6, c),
% 83.64/11.08 bind(X7, identity),
% 83.64/11.08 bind(X8, inverse(X18)),
% 83.64/11.08 bind(X9, c),
% 83.64/11.08 bind(X10, inverse(X18)),
% 83.64/11.08 bind(X11, c),
% 83.64/11.08 bind(X12, inverse(X18)),
% 83.64/11.08 bind(X13, a),
% 83.64/11.08 bind(X14, a),
% 83.64/11.08 bind(X15, identity),
% 83.64/11.08 bind(X16, b),
% 83.64/11.08 bind(X17, a),
% 83.64/11.08 bind(X18, b),
% 83.64/11.08 bind(X19, inverse(X18)),
% 83.64/11.08 bind(X20, identity),
% 83.64/11.08 bind(X21, b),
% 83.64/11.08 bind(X22, inverse(X21)),
% 83.64/11.08 bind(X23, identity),
% 83.64/11.08 bind(X24, b),
% 83.64/11.08 bind(X25, b)
% 83.64/11.08 ],
% 83.64/11.08 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24, a25, a26, a27, a28, a29, a30, a31, a32, a33])).
% 83.64/11.08
% 83.64/11.08 % SZS output end IncompleteProof
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