TSTP Solution File: GRP135-1.002 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GRP135-1.002 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n022.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 10:09:19 EDT 2022
% Result : Unsatisfiable 26.11s 3.70s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP135-1.002 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 13 20:51:18 EDT 2022
% 0.14/0.35 % CPUTime :
% 26.11/3.70 % SZS status Unsatisfiable
% 26.11/3.70 % SZS output begin IncompleteProof
% 26.11/3.70 cnf(c0, axiom,
% 26.11/3.70 product(X0,X1,X2) | ~product(X3,X1,X0) | ~product(X1,X2,X3)).
% 26.11/3.70 cnf(c1, plain,
% 26.11/3.70 product(X0,X1,X2) | ~product(X3,X1,X0) | ~product(X1,X2,X3),
% 26.11/3.70 inference(start, [], [c0])).
% 26.11/3.70
% 26.11/3.70 cnf(c2, axiom,
% 26.11/3.70 equalish(X4,X5) | ~product(X5,X6,X7) | ~product(X4,X6,X7)).
% 26.11/3.70 cnf(a0, assumption,
% 26.11/3.70 X0 = X5).
% 26.11/3.70 cnf(a1, assumption,
% 26.11/3.70 X1 = X6).
% 26.11/3.70 cnf(a2, assumption,
% 26.11/3.70 X2 = X7).
% 26.11/3.70 cnf(c3, plain,
% 26.11/3.70 ~product(X3,X1,X0) | ~product(X1,X2,X3),
% 26.11/3.70 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 26.11/3.70 cnf(c4, plain,
% 26.11/3.70 equalish(X4,X5) | ~product(X4,X6,X7),
% 26.11/3.70 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 26.11/3.70
% 26.11/3.70 cnf(c5, axiom,
% 26.11/3.70 ~equalish(e_2,e_1)).
% 26.11/3.70 cnf(a3, assumption,
% 26.11/3.70 X4 = e_2).
% 26.11/3.70 cnf(a4, assumption,
% 26.11/3.70 X5 = e_1).
% 26.11/3.70 cnf(c6, plain,
% 26.11/3.70 ~product(X4,X6,X7),
% 26.11/3.70 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])).
% 26.11/3.70 cnf(c7, plain,
% 26.11/3.70 $false,
% 26.11/3.70 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])).
% 26.11/3.70
% 26.11/3.70 cnf(c8, axiom,
% 26.11/3.70 product(X8,X9,e_2) | product(X8,X9,e_1) | ~group_element(X9) | ~group_element(X8)).
% 26.11/3.70 cnf(a5, assumption,
% 26.11/3.70 X4 = X8).
% 26.11/3.70 cnf(a6, assumption,
% 26.11/3.70 X6 = X9).
% 26.11/3.70 cnf(a7, assumption,
% 26.11/3.70 X7 = e_1).
% 26.11/3.70 cnf(c9, plain,
% 26.11/3.70 $false,
% 26.11/3.70 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c6, c8])).
% 26.11/3.70 cnf(c10, plain,
% 26.11/3.70 product(X8,X9,e_2) | ~group_element(X9) | ~group_element(X8),
% 26.11/3.70 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c6, c8])).
% 26.11/3.70
% 26.11/3.70 cnf(c11, axiom,
% 26.11/3.70 product(X10,X11,X12) | ~product(X13,X11,X10) | ~product(X11,X12,X13)).
% 26.11/3.70 cnf(a8, assumption,
% 26.11/3.70 X8 = X11).
% 26.11/3.70 cnf(a9, assumption,
% 26.11/3.70 X9 = X12).
% 26.11/3.70 cnf(a10, assumption,
% 26.11/3.70 e_2 = X13).
% 26.11/3.70 cnf(c12, plain,
% 26.11/3.70 ~group_element(X9) | ~group_element(X8),
% 26.11/3.70 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c10, c11])).
% 26.11/3.70 cnf(c13, plain,
% 26.11/3.70 product(X10,X11,X12) | ~product(X13,X11,X10),
% 26.11/3.70 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c10, c11])).
% 26.11/3.70
% 26.11/3.70 cnf(c14, axiom,
% 26.11/3.70 equalish(X14,X15) | ~product(X15,X16,X17) | ~product(X14,X16,X17)).
% 26.11/3.70 cnf(a11, assumption,
% 26.11/3.70 X10 = X14).
% 26.11/3.70 cnf(a12, assumption,
% 26.11/3.70 X11 = X16).
% 26.11/3.70 cnf(a13, assumption,
% 26.11/3.70 X12 = X17).
% 26.11/3.70 cnf(c15, plain,
% 26.11/3.70 ~product(X13,X11,X10),
% 26.11/3.70 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c13, c14])).
% 26.11/3.70 cnf(c16, plain,
% 26.11/3.70 equalish(X14,X15) | ~product(X15,X16,X17),
% 26.11/3.70 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c13, c14])).
% 26.11/3.70
% 26.11/3.70 cnf(c17, axiom,
% 26.11/3.70 ~equalish(e_1,e_2)).
% 26.11/3.70 cnf(a14, assumption,
% 26.11/3.70 X14 = e_1).
% 26.11/3.70 cnf(a15, assumption,
% 26.11/3.70 X15 = e_2).
% 26.11/3.70 cnf(c18, plain,
% 26.11/3.70 ~product(X15,X16,X17),
% 26.11/3.70 inference(strict_predicate_extension, [assumptions([a14, a15])], [c16, c17])).
% 26.11/3.70 cnf(c19, plain,
% 26.11/3.70 $false,
% 26.11/3.70 inference(strict_predicate_extension, [assumptions([a14, a15])], [c16, c17])).
% 26.11/3.70
% 26.11/3.70 cnf(c20, axiom,
% 26.11/3.70 product(X18,X19,X20) | ~product(X21,X19,X18) | ~product(X19,X20,X21)).
% 26.11/3.70 cnf(a16, assumption,
% 26.11/3.70 X15 = X18).
% 26.11/3.70 cnf(a17, assumption,
% 26.11/3.70 X16 = X19).
% 26.11/3.70 cnf(a18, assumption,
% 26.11/3.70 X17 = X20).
% 26.11/3.70 cnf(c21, plain,
% 26.11/3.70 $false,
% 26.11/3.70 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c18, c20])).
% 26.11/3.70 cnf(c22, plain,
% 26.11/3.70 ~product(X21,X19,X18) | ~product(X19,X20,X21),
% 26.11/3.70 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c18, c20])).
% 26.11/3.70
% 26.11/3.70 cnf(c23, axiom,
% 26.11/3.70 product(X22,X23,e_2) | product(X22,X23,e_1) | ~group_element(X23) | ~group_element(X22)).
% 26.11/3.70 cnf(a19, assumption,
% 26.11/3.70 X21 = X22).
% 26.11/3.70 cnf(a20, assumption,
% 26.11/3.70 X19 = X23).
% 26.11/3.70 cnf(a21, assumption,
% 26.11/3.70 X18 = e_2).
% 26.11/3.70 cnf(c24, plain,
% 26.11/3.70 ~product(X19,X20,X21),
% 26.11/3.70 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c22, c23])).
% 26.11/3.70 cnf(c25, plain,
% 26.11/3.70 product(X22,X23,e_1) | ~group_element(X23) | ~group_element(X22),
% 26.11/3.70 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c22, c23])).
% 26.11/3.70
% 26.11/3.70 cnf(c26, plain,
% 26.11/3.70 ~product(X15,X16,X17)).
% 26.11/3.70 cnf(a22, assumption,
% 26.11/3.70 X22 = X15).
% 26.11/3.70 cnf(a23, assumption,
% 26.11/3.70 X23 = X16).
% 26.11/3.70 cnf(a24, assumption,
% 26.11/3.70 e_1 = X17).
% 26.11/3.70 cnf(c27, plain,
% 26.11/3.70 ~group_element(X23) | ~group_element(X22),
% 26.11/3.70 inference(predicate_reduction, [assumptions([a22, a23, a24])], [c25, c26])).
% 26.11/3.70
% 26.11/3.70 cnf(c28, axiom,
% 26.11/3.70 group_element(e_2)).
% 26.11/3.70 cnf(a25, assumption,
% 26.11/3.70 X23 = e_2).
% 26.11/3.70 cnf(c29, plain,
% 26.11/3.70 ~group_element(X22),
% 26.11/3.70 inference(strict_predicate_extension, [assumptions([a25])], [c27, c28])).
% 26.11/3.70 cnf(c30, plain,
% 26.11/3.70 $false,
% 26.11/3.70 inference(strict_predicate_extension, [assumptions([a25])], [c27, c28])).
% 26.11/3.70
% 26.11/3.70 cnf(c31, plain,
% 26.11/3.70 group_element(X23)).
% 26.11/3.70 cnf(a26, assumption,
% 26.11/3.70 X22 = X23).
% 26.11/3.70 cnf(c32, plain,
% 26.11/3.70 $false,
% 26.11/3.70 inference(predicate_reduction, [assumptions([a26])], [c29, c31])).
% 26.11/3.70
% 26.11/3.70 cnf(c33, plain,
% 26.11/3.70 product(X8,X9,e_2)).
% 26.11/3.70 cnf(a27, assumption,
% 26.11/3.70 X19 = X8).
% 26.11/3.70 cnf(a28, assumption,
% 26.11/3.70 X20 = X9).
% 26.11/3.70 cnf(a29, assumption,
% 26.11/3.70 X21 = e_2).
% 26.11/3.70 cnf(c34, plain,
% 26.11/3.70 $false,
% 26.11/3.70 inference(predicate_reduction, [assumptions([a27, a28, a29])], [c24, c33])).
% 26.11/3.70
% 26.11/3.70 cnf(c35, plain,
% 26.11/3.70 product(X15,X16,X17)).
% 26.11/3.70 cnf(a30, assumption,
% 26.11/3.70 X13 = X15).
% 26.11/3.70 cnf(a31, assumption,
% 26.11/3.70 X11 = X16).
% 26.11/3.70 cnf(a32, assumption,
% 26.11/3.70 X10 = X17).
% 26.11/3.70 cnf(c36, plain,
% 26.11/3.70 $false,
% 26.11/3.70 inference(predicate_reduction, [assumptions([a30, a31, a32])], [c15, c35])).
% 26.11/3.70
% 26.11/3.70 cnf(c37, axiom,
% 26.11/3.70 group_element(e_1)).
% 26.11/3.70 cnf(a33, assumption,
% 26.11/3.70 X9 = e_1).
% 26.11/3.70 cnf(c38, plain,
% 26.11/3.70 ~group_element(X8),
% 26.11/3.70 inference(strict_predicate_extension, [assumptions([a33])], [c12, c37])).
% 26.11/3.70 cnf(c39, plain,
% 26.11/3.70 $false,
% 26.11/3.70 inference(strict_predicate_extension, [assumptions([a33])], [c12, c37])).
% 26.11/3.70
% 26.11/3.70 cnf(c40, plain,
% 26.11/3.70 group_element(X23)).
% 26.11/3.70 cnf(a34, assumption,
% 26.11/3.70 X8 = X23).
% 26.11/3.70 cnf(c41, plain,
% 26.11/3.70 $false,
% 26.11/3.70 inference(predicate_reduction, [assumptions([a34])], [c38, c40])).
% 26.11/3.70
% 26.11/3.70 cnf(c42, plain,
% 26.11/3.70 product(X4,X6,X7)).
% 26.11/3.70 cnf(a35, assumption,
% 26.11/3.70 X3 = X4).
% 26.11/3.70 cnf(a36, assumption,
% 26.11/3.70 X1 = X6).
% 26.11/3.70 cnf(a37, assumption,
% 26.11/3.70 X0 = X7).
% 26.11/3.70 cnf(c43, plain,
% 26.11/3.70 ~product(X1,X2,X3),
% 26.11/3.70 inference(predicate_reduction, [assumptions([a35, a36, a37])], [c3, c42])).
% 26.11/3.70
% 26.11/3.70 cnf(c44, axiom,
% 26.11/3.70 product(X24,X25,e_2) | product(X24,X25,e_1) | ~group_element(X25) | ~group_element(X24)).
% 26.11/3.70 cnf(a38, assumption,
% 26.11/3.70 X1 = X24).
% 26.11/3.70 cnf(a39, assumption,
% 26.11/3.70 X2 = X25).
% 26.11/3.70 cnf(a40, assumption,
% 26.11/3.70 X3 = e_2).
% 26.11/3.70 cnf(c45, plain,
% 26.11/3.70 $false,
% 26.11/3.70 inference(strict_predicate_extension, [assumptions([a38, a39, a40])], [c43, c44])).
% 26.11/3.70 cnf(c46, plain,
% 26.11/3.70 product(X24,X25,e_1) | ~group_element(X25) | ~group_element(X24),
% 26.11/3.70 inference(strict_predicate_extension, [assumptions([a38, a39, a40])], [c43, c44])).
% 26.11/3.70
% 26.11/3.70 cnf(c47, plain,
% 26.11/3.70 ~product(X0,X1,X2)).
% 26.11/3.70 cnf(a41, assumption,
% 26.11/3.70 X24 = X0).
% 26.11/3.70 cnf(a42, assumption,
% 26.11/3.70 X25 = X1).
% 26.11/3.70 cnf(a43, assumption,
% 26.11/3.70 e_1 = X2).
% 26.11/3.70 cnf(c48, plain,
% 26.11/3.70 ~group_element(X25) | ~group_element(X24),
% 26.11/3.70 inference(predicate_reduction, [assumptions([a41, a42, a43])], [c46, c47])).
% 26.11/3.70
% 26.11/3.70 cnf(c49, plain,
% 26.11/3.70 group_element(X9)).
% 26.11/3.70 cnf(a44, assumption,
% 26.11/3.70 X25 = X9).
% 26.11/3.70 cnf(c50, plain,
% 26.11/3.70 ~group_element(X24),
% 26.11/3.70 inference(predicate_reduction, [assumptions([a44])], [c48, c49])).
% 26.11/3.70
% 26.11/3.70 cnf(c51, plain,
% 26.11/3.70 group_element(X9)).
% 26.11/3.70 cnf(a45, assumption,
% 26.11/3.70 X24 = X9).
% 26.11/3.70 cnf(c52, plain,
% 26.11/3.70 $false,
% 26.11/3.70 inference(predicate_reduction, [assumptions([a45])], [c50, c51])).
% 26.11/3.70
% 26.11/3.70 cnf(c53, plain,
% 26.11/3.70 $false,
% 26.11/3.70 inference(constraint_solving, [
% 26.11/3.70 bind(X0, e_1),
% 26.11/3.70 bind(X1, e_1),
% 26.11/3.70 bind(X2, e_1),
% 26.11/3.70 bind(X3, e_2),
% 26.11/3.70 bind(X4, e_2),
% 26.11/3.70 bind(X5, e_1),
% 26.11/3.70 bind(X6, e_1),
% 26.11/3.70 bind(X7, e_1),
% 26.11/3.70 bind(X8, e_2),
% 26.11/3.70 bind(X9, e_1),
% 26.11/3.70 bind(X10, e_1),
% 26.11/3.70 bind(X11, e_2),
% 26.11/3.70 bind(X12, e_1),
% 26.11/3.70 bind(X13, e_2),
% 26.11/3.70 bind(X14, e_1),
% 26.11/3.70 bind(X15, e_2),
% 26.11/3.70 bind(X16, e_2),
% 26.11/3.70 bind(X17, e_1),
% 26.11/3.70 bind(X18, e_2),
% 26.11/3.70 bind(X19, e_2),
% 26.11/3.70 bind(X20, e_1),
% 26.11/3.70 bind(X21, e_2),
% 26.11/3.70 bind(X22, e_2),
% 26.11/3.70 bind(X23, e_2),
% 26.11/3.70 bind(X24, e_1),
% 26.11/3.70 bind(X25, e_1)
% 26.11/3.70 ],
% 26.11/3.70 [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, a36, a37, a38, a39, a40, a41, a42, a43, a44, a45])).
% 26.11/3.70
% 26.11/3.70 % SZS output end IncompleteProof
%------------------------------------------------------------------------------