TSTP Solution File: GRP036-3 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GRP036-3 : 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 : n020.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 0.13s 0.36s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP036-3 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 13 18:05:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % SZS status Unsatisfiable
% 0.13/0.36 % SZS output begin IncompleteProof
% 0.13/0.36 cnf(c0, axiom,
% 0.13/0.36 identity != another_identity).
% 0.13/0.36 cnf(c1, plain,
% 0.13/0.36 identity != another_identity,
% 0.13/0.36 inference(start, [], [c0])).
% 0.13/0.36
% 0.13/0.36 cnf(c2, axiom,
% 0.13/0.36 X0 = X1 | ~product(X2,X3,X1) | ~product(X2,X3,X0)).
% 0.13/0.36 cnf(a0, assumption,
% 0.13/0.36 another_identity = X0).
% 0.13/0.36 cnf(c3, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.36 cnf(c4, plain,
% 0.13/0.36 ~product(X2,X3,X1) | ~product(X2,X3,X0),
% 0.13/0.36 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.36 cnf(c5, plain,
% 0.13/0.36 X1 != X4 | identity != X4,
% 0.13/0.36 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.36
% 0.13/0.36 cnf(a1, assumption,
% 0.13/0.36 X1 = X4).
% 0.13/0.36 cnf(c6, plain,
% 0.13/0.36 identity != X4,
% 0.13/0.36 inference(reflexivity, [assumptions([a1])], [c5])).
% 0.13/0.36
% 0.13/0.36 cnf(a2, assumption,
% 0.13/0.36 identity = X4).
% 0.13/0.36 cnf(c7, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(reflexivity, [assumptions([a2])], [c6])).
% 0.13/0.36
% 0.13/0.36 cnf(c8, axiom,
% 0.13/0.36 product(X5,X6,X7) | ~product(X8,X9,X7) | ~product(X10,X6,X9) | ~product(X8,X10,X5)).
% 0.13/0.36 cnf(a3, assumption,
% 0.13/0.36 X2 = X5).
% 0.13/0.36 cnf(a4, assumption,
% 0.13/0.36 X3 = X6).
% 0.13/0.36 cnf(a5, assumption,
% 0.13/0.36 X1 = X7).
% 0.13/0.36 cnf(c9, plain,
% 0.13/0.36 ~product(X2,X3,X0),
% 0.13/0.36 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])).
% 0.13/0.36 cnf(c10, plain,
% 0.13/0.36 ~product(X8,X9,X7) | ~product(X10,X6,X9) | ~product(X8,X10,X5),
% 0.13/0.36 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])).
% 0.13/0.36
% 0.13/0.36 cnf(c11, axiom,
% 0.13/0.36 product(inverse(X11),X11,identity)).
% 0.13/0.36 cnf(a6, assumption,
% 0.13/0.36 X8 = inverse(X11)).
% 0.13/0.36 cnf(a7, assumption,
% 0.13/0.36 X9 = X11).
% 0.13/0.36 cnf(a8, assumption,
% 0.13/0.36 X7 = identity).
% 0.13/0.36 cnf(c12, plain,
% 0.13/0.36 ~product(X10,X6,X9) | ~product(X8,X10,X5),
% 0.13/0.36 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c10, c11])).
% 0.13/0.36 cnf(c13, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c10, c11])).
% 0.13/0.36
% 0.13/0.36 cnf(c14, axiom,
% 0.13/0.36 product(X12,another_identity,X12) | ~subgroup_member(X12)).
% 0.13/0.36 cnf(a9, assumption,
% 0.13/0.36 X10 = X12).
% 0.13/0.36 cnf(a10, assumption,
% 0.13/0.36 X6 = another_identity).
% 0.13/0.36 cnf(a11, assumption,
% 0.13/0.36 X9 = X12).
% 0.13/0.36 cnf(c15, plain,
% 0.13/0.36 ~product(X8,X10,X5),
% 0.13/0.36 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c12, c14])).
% 0.13/0.36 cnf(c16, plain,
% 0.13/0.36 ~subgroup_member(X12),
% 0.13/0.36 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c12, c14])).
% 0.13/0.36
% 0.13/0.36 cnf(c17, axiom,
% 0.13/0.36 subgroup_member(another_identity)).
% 0.13/0.36 cnf(a12, assumption,
% 0.13/0.36 X12 = another_identity).
% 0.13/0.36 cnf(c18, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(strict_predicate_extension, [assumptions([a12])], [c16, c17])).
% 0.13/0.36 cnf(c19, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(strict_predicate_extension, [assumptions([a12])], [c16, c17])).
% 0.13/0.36
% 0.13/0.36 cnf(c20, plain,
% 0.13/0.36 product(X8,X9,X7)).
% 0.13/0.36 cnf(a13, assumption,
% 0.13/0.36 X8 = X8).
% 0.13/0.36 cnf(a14, assumption,
% 0.13/0.36 X10 = X9).
% 0.13/0.36 cnf(a15, assumption,
% 0.13/0.36 X5 = X7).
% 0.13/0.36 cnf(c21, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(predicate_reduction, [assumptions([a13, a14, a15])], [c15, c20])).
% 0.13/0.36
% 0.13/0.36 cnf(c22, axiom,
% 0.13/0.36 product(identity,X13,X13)).
% 0.13/0.36 cnf(a16, assumption,
% 0.13/0.36 X2 = identity).
% 0.13/0.36 cnf(a17, assumption,
% 0.13/0.36 X3 = X13).
% 0.13/0.36 cnf(a18, assumption,
% 0.13/0.36 X0 = X13).
% 0.13/0.36 cnf(c23, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c9, c22])).
% 0.13/0.36 cnf(c24, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c9, c22])).
% 0.13/0.36
% 0.13/0.36 cnf(c25, plain,
% 0.13/0.36 $false,
% 0.13/0.36 inference(constraint_solving, [
% 0.13/0.36 bind(X0, another_identity),
% 0.13/0.36 bind(X1, identity),
% 0.13/0.36 bind(X2, identity),
% 0.13/0.36 bind(X3, another_identity),
% 0.13/0.36 bind(X4, identity),
% 0.13/0.36 bind(X5, identity),
% 0.13/0.36 bind(X6, another_identity),
% 0.13/0.36 bind(X7, identity),
% 0.13/0.36 bind(X8, inverse(X11)),
% 0.13/0.36 bind(X9, another_identity),
% 0.13/0.36 bind(X10, another_identity),
% 0.13/0.36 bind(X11, another_identity),
% 0.13/0.36 bind(X12, another_identity),
% 0.13/0.36 bind(X13, another_identity)
% 0.13/0.36 ],
% 0.13/0.36 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18])).
% 0.13/0.36
% 0.13/0.36 % SZS output end IncompleteProof
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