TSTP Solution File: GRP012-2 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GRP012-2 : 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 : n010.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 10:08:33 EDT 2022
% Result : Unsatisfiable 2.49s 0.67s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP012-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34 % Computer : n010.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 : Tue Jun 14 09:46:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.49/0.67 % SZS status Unsatisfiable
% 2.49/0.67 % SZS output begin IncompleteProof
% 2.49/0.67 cnf(c0, axiom,
% 2.49/0.67 d != inverse(c)).
% 2.49/0.67 cnf(c1, plain,
% 2.49/0.67 d != inverse(c),
% 2.49/0.67 inference(start, [], [c0])).
% 2.49/0.67
% 2.49/0.67 cnf(c2, axiom,
% 2.49/0.67 X0 = X1 | ~product(X2,X3,X1) | ~product(X2,X3,X0)).
% 2.49/0.67 cnf(a0, assumption,
% 2.49/0.67 inverse(c) = X0).
% 2.49/0.67 cnf(c3, plain,
% 2.49/0.67 $false,
% 2.49/0.67 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 2.49/0.67 cnf(c4, plain,
% 2.49/0.67 ~product(X2,X3,X1) | ~product(X2,X3,X0),
% 2.49/0.67 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 2.49/0.67 cnf(c5, plain,
% 2.49/0.67 X1 != X4 | d != X4,
% 2.49/0.67 inference(variable_extension, [assumptions([a0])], [c1, c2])).
% 2.49/0.67
% 2.49/0.67 cnf(a1, assumption,
% 2.49/0.67 X1 = X4).
% 2.49/0.67 cnf(c6, plain,
% 2.49/0.67 d != X4,
% 2.49/0.67 inference(reflexivity, [assumptions([a1])], [c5])).
% 2.49/0.67
% 2.49/0.67 cnf(a2, assumption,
% 2.49/0.67 d = X4).
% 2.49/0.67 cnf(c7, plain,
% 2.49/0.67 $false,
% 2.49/0.67 inference(reflexivity, [assumptions([a2])], [c6])).
% 2.49/0.67
% 2.49/0.67 cnf(c8, axiom,
% 2.49/0.67 product(identity,X5,X5)).
% 2.49/0.67 cnf(a3, assumption,
% 2.49/0.67 X2 = identity).
% 2.49/0.67 cnf(a4, assumption,
% 2.49/0.67 X3 = X5).
% 2.49/0.67 cnf(a5, assumption,
% 2.49/0.67 X1 = X5).
% 2.49/0.67 cnf(c9, plain,
% 2.49/0.67 ~product(X2,X3,X0),
% 2.49/0.67 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])).
% 2.49/0.67 cnf(c10, plain,
% 2.49/0.67 $false,
% 2.49/0.67 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])).
% 2.49/0.67
% 2.49/0.67 cnf(c11, axiom,
% 2.49/0.67 product(X6,X7,X8) | ~product(X9,X10,X8) | ~product(X11,X7,X10) | ~product(X9,X11,X6)).
% 2.49/0.67 cnf(a6, assumption,
% 2.49/0.67 X2 = X6).
% 2.49/0.67 cnf(a7, assumption,
% 2.49/0.67 X3 = X7).
% 2.49/0.67 cnf(a8, assumption,
% 2.49/0.67 X0 = X8).
% 2.49/0.67 cnf(c12, plain,
% 2.49/0.67 $false,
% 2.49/0.67 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c9, c11])).
% 2.49/0.67 cnf(c13, plain,
% 2.49/0.67 ~product(X9,X10,X8) | ~product(X11,X7,X10) | ~product(X9,X11,X6),
% 2.49/0.67 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c9, c11])).
% 2.49/0.67
% 2.49/0.67 cnf(c14, axiom,
% 2.49/0.67 product(X12,identity,X12)).
% 2.49/0.67 cnf(a9, assumption,
% 2.49/0.67 X9 = X12).
% 2.49/0.67 cnf(a10, assumption,
% 2.49/0.67 X10 = identity).
% 2.49/0.67 cnf(a11, assumption,
% 2.49/0.67 X8 = X12).
% 2.49/0.67 cnf(c15, plain,
% 2.49/0.67 ~product(X11,X7,X10) | ~product(X9,X11,X6),
% 2.49/0.67 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c13, c14])).
% 2.49/0.67 cnf(c16, plain,
% 2.49/0.67 $false,
% 2.49/0.67 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c13, c14])).
% 2.49/0.67
% 2.49/0.67 cnf(c17, axiom,
% 2.49/0.67 product(X13,X14,X15) | ~product(X16,X17,X15) | ~product(X18,X17,X14) | ~product(X13,X18,X16)).
% 2.49/0.67 cnf(a12, assumption,
% 2.49/0.67 X11 = X13).
% 2.49/0.67 cnf(a13, assumption,
% 2.49/0.67 X7 = X14).
% 2.49/0.67 cnf(a14, assumption,
% 2.49/0.67 X10 = X15).
% 2.49/0.67 cnf(c18, plain,
% 2.49/0.67 ~product(X9,X11,X6),
% 2.49/0.67 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c15, c17])).
% 2.49/0.67 cnf(c19, plain,
% 2.49/0.67 ~product(X16,X17,X15) | ~product(X18,X17,X14) | ~product(X13,X18,X16),
% 2.49/0.67 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c15, c17])).
% 2.49/0.67
% 2.49/0.67 cnf(c20, axiom,
% 2.49/0.67 product(X19,inverse(X19),identity)).
% 2.49/0.67 cnf(a15, assumption,
% 2.49/0.67 X16 = X19).
% 2.49/0.67 cnf(a16, assumption,
% 2.49/0.67 X17 = inverse(X19)).
% 2.49/0.67 cnf(a17, assumption,
% 2.49/0.67 X15 = identity).
% 2.49/0.67 cnf(c21, plain,
% 2.49/0.67 ~product(X18,X17,X14) | ~product(X13,X18,X16),
% 2.49/0.67 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c19, c20])).
% 2.49/0.67 cnf(c22, plain,
% 2.49/0.67 $false,
% 2.49/0.67 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c19, c20])).
% 2.49/0.67
% 2.49/0.67 cnf(c23, axiom,
% 2.49/0.67 product(inverse(b),inverse(a),d)).
% 2.49/0.67 cnf(a18, assumption,
% 2.49/0.67 X18 = inverse(b)).
% 2.49/0.67 cnf(a19, assumption,
% 2.49/0.67 X17 = inverse(a)).
% 2.49/0.67 cnf(a20, assumption,
% 2.49/0.67 X14 = d).
% 2.49/0.67 cnf(c24, plain,
% 2.49/0.67 ~product(X13,X18,X16),
% 2.49/0.67 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c21, c23])).
% 2.49/0.67 cnf(c25, plain,
% 2.49/0.67 $false,
% 2.49/0.67 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c21, c23])).
% 2.49/0.67
% 2.49/0.67 cnf(c26, axiom,
% 2.49/0.67 product(X20,X21,X22) | ~product(X23,X24,X22) | ~product(X25,X21,X24) | ~product(X23,X25,X20)).
% 2.49/0.67 cnf(a21, assumption,
% 2.49/0.67 X13 = X20).
% 2.49/0.67 cnf(a22, assumption,
% 2.49/0.67 X18 = X21).
% 2.49/0.67 cnf(a23, assumption,
% 2.49/0.67 X16 = X22).
% 2.49/0.67 cnf(c27, plain,
% 2.49/0.67 $false,
% 2.49/0.67 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c24, c26])).
% 2.49/0.67 cnf(c28, plain,
% 2.49/0.67 ~product(X23,X24,X22) | ~product(X25,X21,X24) | ~product(X23,X25,X20),
% 2.49/0.67 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c24, c26])).
% 2.49/0.67
% 2.49/0.67 cnf(c29, axiom,
% 2.49/0.67 product(X26,identity,X26)).
% 2.49/0.67 cnf(a24, assumption,
% 2.49/0.67 X23 = X26).
% 2.49/0.67 cnf(a25, assumption,
% 2.49/0.67 X24 = identity).
% 2.49/0.67 cnf(a26, assumption,
% 2.49/0.67 X22 = X26).
% 2.49/0.67 cnf(c30, plain,
% 2.49/0.67 ~product(X25,X21,X24) | ~product(X23,X25,X20),
% 2.49/0.67 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c28, c29])).
% 2.49/0.67 cnf(c31, plain,
% 2.49/0.67 $false,
% 2.49/0.67 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c28, c29])).
% 2.49/0.67
% 2.49/0.67 cnf(c32, axiom,
% 2.49/0.67 product(X27,inverse(X27),identity)).
% 2.49/0.67 cnf(a27, assumption,
% 2.49/0.67 X25 = X27).
% 2.49/0.67 cnf(a28, assumption,
% 2.49/0.67 X21 = inverse(X27)).
% 2.49/0.67 cnf(a29, assumption,
% 2.49/0.67 X24 = identity).
% 2.49/0.67 cnf(c33, plain,
% 2.49/0.67 ~product(X23,X25,X20),
% 2.49/0.67 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c30, c32])).
% 2.49/0.67 cnf(c34, plain,
% 2.49/0.67 $false,
% 2.49/0.67 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c30, c32])).
% 2.49/0.67
% 2.49/0.67 cnf(c35, axiom,
% 2.49/0.67 product(a,b,c)).
% 2.49/0.67 cnf(a30, assumption,
% 2.49/0.67 X23 = a).
% 2.49/0.67 cnf(a31, assumption,
% 2.49/0.67 X25 = b).
% 2.49/0.67 cnf(a32, assumption,
% 2.49/0.67 X20 = c).
% 2.49/0.67 cnf(c36, plain,
% 2.49/0.67 $false,
% 2.49/0.67 inference(strict_predicate_extension, [assumptions([a30, a31, a32])], [c33, c35])).
% 2.49/0.67 cnf(c37, plain,
% 2.49/0.67 $false,
% 2.49/0.67 inference(strict_predicate_extension, [assumptions([a30, a31, a32])], [c33, c35])).
% 2.49/0.67
% 2.49/0.67 cnf(c38, axiom,
% 2.49/0.67 product(inverse(X28),X28,identity)).
% 2.49/0.67 cnf(a33, assumption,
% 2.49/0.67 X9 = inverse(X28)).
% 2.49/0.67 cnf(a34, assumption,
% 2.49/0.67 X11 = X28).
% 2.49/0.67 cnf(a35, assumption,
% 2.49/0.67 X6 = identity).
% 2.49/0.67 cnf(c39, plain,
% 2.49/0.67 $false,
% 2.49/0.67 inference(strict_predicate_extension, [assumptions([a33, a34, a35])], [c18, c38])).
% 2.49/0.67 cnf(c40, plain,
% 2.49/0.67 $false,
% 2.49/0.67 inference(strict_predicate_extension, [assumptions([a33, a34, a35])], [c18, c38])).
% 2.49/0.67
% 2.49/0.67 cnf(c41, plain,
% 2.49/0.67 $false,
% 2.49/0.67 inference(constraint_solving, [
% 2.49/0.67 bind(X0, inverse(c)),
% 2.49/0.67 bind(X1, d),
% 2.49/0.67 bind(X2, identity),
% 2.49/0.67 bind(X3, d),
% 2.49/0.67 bind(X4, d),
% 2.49/0.67 bind(X5, d),
% 2.49/0.67 bind(X6, identity),
% 2.49/0.67 bind(X7, d),
% 2.49/0.67 bind(X8, inverse(c)),
% 2.49/0.67 bind(X9, inverse(c)),
% 2.49/0.67 bind(X10, identity),
% 2.49/0.67 bind(X11, c),
% 2.49/0.67 bind(X12, inverse(c)),
% 2.49/0.67 bind(X13, c),
% 2.49/0.67 bind(X14, d),
% 2.49/0.67 bind(X15, identity),
% 2.49/0.67 bind(X16, a),
% 2.49/0.67 bind(X17, inverse(X19)),
% 2.49/0.67 bind(X18, inverse(b)),
% 2.49/0.67 bind(X19, a),
% 2.49/0.67 bind(X20, c),
% 2.49/0.67 bind(X21, inverse(b)),
% 2.49/0.67 bind(X22, a),
% 2.49/0.67 bind(X23, a),
% 2.49/0.67 bind(X24, identity),
% 2.49/0.67 bind(X25, b),
% 2.49/0.67 bind(X26, a),
% 2.49/0.67 bind(X27, b),
% 2.49/0.67 bind(X28, c)
% 2.49/0.67 ],
% 2.49/0.67 [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, a34, a35])).
% 2.49/0.67
% 2.49/0.67 % SZS output end IncompleteProof
%------------------------------------------------------------------------------