TSTP Solution File: GRP123-9.003 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GRP123-9.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n018.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 10:09:00 EDT 2022
% Result : Unsatisfiable 18.56s 2.94s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP123-9.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 05:57:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 18.56/2.94 % SZS status Unsatisfiable
% 18.56/2.94 % SZS output begin IncompleteProof
% 18.56/2.94 cnf(c0, axiom,
% 18.56/2.94 product2(X0,X1,X2) | ~product1(X3,X2,X0) | ~product1(X1,X2,X3)).
% 18.56/2.94 cnf(c1, plain,
% 18.56/2.94 product2(X0,X1,X2) | ~product1(X3,X2,X0) | ~product1(X1,X2,X3),
% 18.56/2.94 inference(start, [], [c0])).
% 18.56/2.94
% 18.56/2.94 cnf(c2, axiom,
% 18.56/2.94 equalish(X4,X5) | ~product2(X6,X7,X5) | ~product2(X6,X7,X4)).
% 18.56/2.94 cnf(a0, assumption,
% 18.56/2.94 X0 = X6).
% 18.56/2.94 cnf(a1, assumption,
% 18.56/2.94 X1 = X7).
% 18.56/2.94 cnf(a2, assumption,
% 18.56/2.94 X2 = X4).
% 18.56/2.94 cnf(c3, plain,
% 18.56/2.94 ~product1(X3,X2,X0) | ~product1(X1,X2,X3),
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 18.56/2.94 cnf(c4, plain,
% 18.56/2.94 equalish(X4,X5) | ~product2(X6,X7,X5),
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 18.56/2.94
% 18.56/2.94 cnf(c5, axiom,
% 18.56/2.94 ~equalish(e_1,e_3)).
% 18.56/2.94 cnf(a3, assumption,
% 18.56/2.94 X4 = e_1).
% 18.56/2.94 cnf(a4, assumption,
% 18.56/2.94 X5 = e_3).
% 18.56/2.94 cnf(c6, plain,
% 18.56/2.94 ~product2(X6,X7,X5),
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])).
% 18.56/2.94 cnf(c7, plain,
% 18.56/2.94 $false,
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])).
% 18.56/2.94
% 18.56/2.94 cnf(c8, axiom,
% 18.56/2.94 product2(X8,X8,X8)).
% 18.56/2.94 cnf(a5, assumption,
% 18.56/2.94 X6 = X8).
% 18.56/2.94 cnf(a6, assumption,
% 18.56/2.94 X7 = X8).
% 18.56/2.94 cnf(a7, assumption,
% 18.56/2.94 X5 = X8).
% 18.56/2.94 cnf(c9, plain,
% 18.56/2.94 $false,
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c6, c8])).
% 18.56/2.94 cnf(c10, plain,
% 18.56/2.94 $false,
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c6, c8])).
% 18.56/2.94
% 18.56/2.94 cnf(c11, axiom,
% 18.56/2.94 product1(X9,X10,e_3) | product1(X9,X10,e_2) | product1(X9,X10,e_1) | ~group_element(X10) | ~group_element(X9)).
% 18.56/2.94 cnf(a8, assumption,
% 18.56/2.94 X3 = X9).
% 18.56/2.94 cnf(a9, assumption,
% 18.56/2.94 X2 = X10).
% 18.56/2.94 cnf(a10, assumption,
% 18.56/2.94 X0 = e_3).
% 18.56/2.94 cnf(c12, plain,
% 18.56/2.94 ~product1(X1,X2,X3),
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c3, c11])).
% 18.56/2.94 cnf(c13, plain,
% 18.56/2.94 product1(X9,X10,e_2) | product1(X9,X10,e_1) | ~group_element(X10) | ~group_element(X9),
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c3, c11])).
% 18.56/2.94
% 18.56/2.94 cnf(c14, axiom,
% 18.56/2.94 product2(X11,X12,X13) | ~product1(X14,X13,X11) | ~product1(X12,X13,X14)).
% 18.56/2.94 cnf(a11, assumption,
% 18.56/2.94 X9 = X12).
% 18.56/2.94 cnf(a12, assumption,
% 18.56/2.94 X10 = X13).
% 18.56/2.94 cnf(a13, assumption,
% 18.56/2.94 e_2 = X14).
% 18.56/2.94 cnf(c15, plain,
% 18.56/2.94 product1(X9,X10,e_1) | ~group_element(X10) | ~group_element(X9),
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c13, c14])).
% 18.56/2.94 cnf(c16, plain,
% 18.56/2.94 product2(X11,X12,X13) | ~product1(X14,X13,X11),
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c13, c14])).
% 18.56/2.94
% 18.56/2.94 cnf(c17, plain,
% 18.56/2.94 ~product2(X0,X1,X2)).
% 18.56/2.94 cnf(a14, assumption,
% 18.56/2.94 X11 = X0).
% 18.56/2.94 cnf(a15, assumption,
% 18.56/2.94 X12 = X1).
% 18.56/2.94 cnf(a16, assumption,
% 18.56/2.94 X13 = X2).
% 18.56/2.94 cnf(c18, plain,
% 18.56/2.94 ~product1(X14,X13,X11),
% 18.56/2.94 inference(predicate_reduction, [assumptions([a14, a15, a16])], [c16, c17])).
% 18.56/2.94
% 18.56/2.94 cnf(c19, axiom,
% 18.56/2.94 product1(X15,X16,e_3) | product1(X15,X16,e_2) | product1(X15,X16,e_1) | ~group_element(X16) | ~group_element(X15)).
% 18.56/2.94 cnf(a17, assumption,
% 18.56/2.94 X14 = X15).
% 18.56/2.94 cnf(a18, assumption,
% 18.56/2.94 X13 = X16).
% 18.56/2.94 cnf(a19, assumption,
% 18.56/2.94 X11 = e_3).
% 18.56/2.94 cnf(c20, plain,
% 18.56/2.94 $false,
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a17, a18, a19])], [c18, c19])).
% 18.56/2.94 cnf(c21, plain,
% 18.56/2.94 product1(X15,X16,e_2) | product1(X15,X16,e_1) | ~group_element(X16) | ~group_element(X15),
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a17, a18, a19])], [c18, c19])).
% 18.56/2.94
% 18.56/2.94 cnf(c22, axiom,
% 18.56/2.94 equalish(X17,X18) | ~product1(X19,X18,X20) | ~product1(X19,X17,X20)).
% 18.56/2.94 cnf(a20, assumption,
% 18.56/2.94 X15 = X19).
% 18.56/2.94 cnf(a21, assumption,
% 18.56/2.94 X16 = X18).
% 18.56/2.94 cnf(a22, assumption,
% 18.56/2.94 e_2 = X20).
% 18.56/2.94 cnf(c23, plain,
% 18.56/2.94 product1(X15,X16,e_1) | ~group_element(X16) | ~group_element(X15),
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a20, a21, a22])], [c21, c22])).
% 18.56/2.94 cnf(c24, plain,
% 18.56/2.94 equalish(X17,X18) | ~product1(X19,X17,X20),
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a20, a21, a22])], [c21, c22])).
% 18.56/2.94
% 18.56/2.94 cnf(c25, axiom,
% 18.56/2.94 ~equalish(e_2,e_1)).
% 18.56/2.94 cnf(a23, assumption,
% 18.56/2.94 X17 = e_2).
% 18.56/2.94 cnf(a24, assumption,
% 18.56/2.94 X18 = e_1).
% 18.56/2.94 cnf(c26, plain,
% 18.56/2.94 ~product1(X19,X17,X20),
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a23, a24])], [c24, c25])).
% 18.56/2.94 cnf(c27, plain,
% 18.56/2.94 $false,
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a23, a24])], [c24, c25])).
% 18.56/2.94
% 18.56/2.94 cnf(c28, axiom,
% 18.56/2.94 product1(X21,X21,X21)).
% 18.56/2.94 cnf(a25, assumption,
% 18.56/2.94 X19 = X21).
% 18.56/2.94 cnf(a26, assumption,
% 18.56/2.94 X17 = X21).
% 18.56/2.94 cnf(a27, assumption,
% 18.56/2.94 X20 = X21).
% 18.56/2.94 cnf(c29, plain,
% 18.56/2.94 $false,
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a25, a26, a27])], [c26, c28])).
% 18.56/2.94 cnf(c30, plain,
% 18.56/2.94 $false,
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a25, a26, a27])], [c26, c28])).
% 18.56/2.94
% 18.56/2.94 cnf(c31, axiom,
% 18.56/2.94 equalish(X22,X23) | ~product1(X23,X24,X25) | ~product1(X22,X24,X25)).
% 18.56/2.94 cnf(a28, assumption,
% 18.56/2.94 X15 = X22).
% 18.56/2.94 cnf(a29, assumption,
% 18.56/2.94 X16 = X24).
% 18.56/2.94 cnf(a30, assumption,
% 18.56/2.94 e_1 = X25).
% 18.56/2.94 cnf(c32, plain,
% 18.56/2.94 ~group_element(X16) | ~group_element(X15),
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a28, a29, a30])], [c23, c31])).
% 18.56/2.94 cnf(c33, plain,
% 18.56/2.94 equalish(X22,X23) | ~product1(X23,X24,X25),
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a28, a29, a30])], [c23, c31])).
% 18.56/2.94
% 18.56/2.94 cnf(c34, plain,
% 18.56/2.94 ~equalish(X17,X18)).
% 18.56/2.94 cnf(a31, assumption,
% 18.56/2.94 X22 = X17).
% 18.56/2.94 cnf(a32, assumption,
% 18.56/2.94 X23 = X18).
% 18.56/2.94 cnf(c35, plain,
% 18.56/2.94 ~product1(X23,X24,X25),
% 18.56/2.94 inference(predicate_reduction, [assumptions([a31, a32])], [c33, c34])).
% 18.56/2.94
% 18.56/2.94 cnf(c36, axiom,
% 18.56/2.94 product1(X26,X26,X26)).
% 18.56/2.94 cnf(a33, assumption,
% 18.56/2.94 X23 = X26).
% 18.56/2.94 cnf(a34, assumption,
% 18.56/2.94 X24 = X26).
% 18.56/2.94 cnf(a35, assumption,
% 18.56/2.94 X25 = X26).
% 18.56/2.94 cnf(c37, plain,
% 18.56/2.94 $false,
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a33, a34, a35])], [c35, c36])).
% 18.56/2.94 cnf(c38, plain,
% 18.56/2.94 $false,
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a33, a34, a35])], [c35, c36])).
% 18.56/2.94
% 18.56/2.94 cnf(c39, axiom,
% 18.56/2.94 group_element(e_1)).
% 18.56/2.94 cnf(a36, assumption,
% 18.56/2.94 X16 = e_1).
% 18.56/2.94 cnf(c40, plain,
% 18.56/2.94 ~group_element(X15),
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a36])], [c32, c39])).
% 18.56/2.94 cnf(c41, plain,
% 18.56/2.94 $false,
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a36])], [c32, c39])).
% 18.56/2.94
% 18.56/2.94 cnf(c42, axiom,
% 18.56/2.94 group_element(e_2)).
% 18.56/2.94 cnf(a37, assumption,
% 18.56/2.94 X15 = e_2).
% 18.56/2.94 cnf(c43, plain,
% 18.56/2.94 $false,
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a37])], [c40, c42])).
% 18.56/2.94 cnf(c44, plain,
% 18.56/2.94 $false,
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a37])], [c40, c42])).
% 18.56/2.94
% 18.56/2.94 cnf(c45, axiom,
% 18.56/2.94 equalish(X27,X28) | ~product1(X28,X29,X30) | ~product1(X27,X29,X30)).
% 18.56/2.94 cnf(a38, assumption,
% 18.56/2.94 X9 = X28).
% 18.56/2.94 cnf(a39, assumption,
% 18.56/2.94 X10 = X29).
% 18.56/2.94 cnf(a40, assumption,
% 18.56/2.94 e_1 = X30).
% 18.56/2.94 cnf(c46, plain,
% 18.56/2.94 ~group_element(X10) | ~group_element(X9),
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a38, a39, a40])], [c15, c45])).
% 18.56/2.94 cnf(c47, plain,
% 18.56/2.94 equalish(X27,X28) | ~product1(X27,X29,X30),
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a38, a39, a40])], [c15, c45])).
% 18.56/2.94
% 18.56/2.94 cnf(c48, plain,
% 18.56/2.94 ~equalish(X4,X5)).
% 18.56/2.94 cnf(a41, assumption,
% 18.56/2.94 X27 = X4).
% 18.56/2.94 cnf(a42, assumption,
% 18.56/2.94 X28 = X5).
% 18.56/2.94 cnf(c49, plain,
% 18.56/2.94 ~product1(X27,X29,X30),
% 18.56/2.94 inference(predicate_reduction, [assumptions([a41, a42])], [c47, c48])).
% 18.56/2.94
% 18.56/2.94 cnf(c50, plain,
% 18.56/2.94 product1(X23,X24,X25)).
% 18.56/2.94 cnf(a43, assumption,
% 18.56/2.94 X27 = X23).
% 18.56/2.94 cnf(a44, assumption,
% 18.56/2.94 X29 = X24).
% 18.56/2.94 cnf(a45, assumption,
% 18.56/2.94 X30 = X25).
% 18.56/2.94 cnf(c51, plain,
% 18.56/2.94 $false,
% 18.56/2.94 inference(predicate_reduction, [assumptions([a43, a44, a45])], [c49, c50])).
% 18.56/2.94
% 18.56/2.94 cnf(c52, plain,
% 18.56/2.94 group_element(X16)).
% 18.56/2.94 cnf(a46, assumption,
% 18.56/2.94 X10 = X16).
% 18.56/2.94 cnf(c53, plain,
% 18.56/2.94 ~group_element(X9),
% 18.56/2.94 inference(predicate_reduction, [assumptions([a46])], [c46, c52])).
% 18.56/2.94
% 18.56/2.94 cnf(c54, axiom,
% 18.56/2.94 group_element(e_3)).
% 18.56/2.94 cnf(a47, assumption,
% 18.56/2.94 X9 = e_3).
% 18.56/2.94 cnf(c55, plain,
% 18.56/2.94 $false,
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a47])], [c53, c54])).
% 18.56/2.94 cnf(c56, plain,
% 18.56/2.94 $false,
% 18.56/2.94 inference(strict_predicate_extension, [assumptions([a47])], [c53, c54])).
% 18.56/2.94
% 18.56/2.94 cnf(c57, plain,
% 18.56/2.94 product1(X3,X2,X0)).
% 18.56/2.94 cnf(a48, assumption,
% 18.56/2.94 X1 = X3).
% 18.56/2.94 cnf(a49, assumption,
% 18.56/2.94 X2 = X2).
% 18.56/2.94 cnf(a50, assumption,
% 18.56/2.94 X3 = X0).
% 18.56/2.94 cnf(c58, plain,
% 18.56/2.94 $false,
% 18.56/2.94 inference(predicate_reduction, [assumptions([a48, a49, a50])], [c12, c57])).
% 18.56/2.94
% 18.56/2.94 cnf(c59, plain,
% 18.56/2.94 $false,
% 18.56/2.94 inference(constraint_solving, [
% 18.56/2.94 bind(X0, e_3),
% 18.56/2.94 bind(X1, e_3),
% 18.56/2.94 bind(X2, e_1),
% 18.56/2.94 bind(X3, e_3),
% 18.56/2.94 bind(X4, e_1),
% 18.56/2.94 bind(X5, e_3),
% 18.56/2.94 bind(X6, e_3),
% 18.56/2.94 bind(X7, e_3),
% 18.56/2.94 bind(X8, e_3),
% 18.56/2.94 bind(X9, e_3),
% 18.56/2.94 bind(X10, e_1),
% 18.56/2.94 bind(X11, e_3),
% 18.56/2.94 bind(X12, e_3),
% 18.56/2.94 bind(X13, e_1),
% 18.56/2.94 bind(X14, e_2),
% 18.56/2.94 bind(X15, e_2),
% 18.56/2.94 bind(X16, e_1),
% 18.56/2.94 bind(X17, e_2),
% 18.56/2.94 bind(X18, e_1),
% 18.56/2.94 bind(X19, e_2),
% 18.56/2.94 bind(X20, e_2),
% 18.56/2.94 bind(X21, e_2),
% 18.56/2.94 bind(X22, e_2),
% 18.56/2.94 bind(X23, e_1),
% 18.56/2.94 bind(X24, e_1),
% 18.56/2.94 bind(X25, e_1),
% 18.56/2.94 bind(X26, e_1),
% 18.56/2.94 bind(X27, e_1),
% 18.56/2.94 bind(X28, e_3),
% 18.56/2.94 bind(X29, e_1),
% 18.56/2.94 bind(X30, e_1)
% 18.56/2.94 ],
% 18.56/2.94 [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, a46, a47, a48, a49, a50])).
% 18.56/2.94
% 18.56/2.94 % SZS output end IncompleteProof
%------------------------------------------------------------------------------