TSTP Solution File: GRP123-6.003 by lazyCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GRP123-6.003 : 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 : 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 10:08:59 EDT 2022
% Result : Unsatisfiable 17.80s 2.93s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP123-6.003 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.14 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.35 % Computer : n025.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jun 13 15:39:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 17.80/2.93 % SZS status Unsatisfiable
% 17.80/2.93 % SZS output begin IncompleteProof
% 17.80/2.93 cnf(c0, axiom,
% 17.80/2.93 product2(X0,X1,X2) | ~product1(X3,X2,X0) | ~product1(X1,X2,X3)).
% 17.80/2.93 cnf(c1, plain,
% 17.80/2.93 product2(X0,X1,X2) | ~product1(X3,X2,X0) | ~product1(X1,X2,X3),
% 17.80/2.93 inference(start, [], [c0])).
% 17.80/2.93
% 17.80/2.93 cnf(c2, axiom,
% 17.80/2.93 equalish(X4,X5) | ~product2(X6,X7,X5) | ~product2(X6,X7,X4)).
% 17.80/2.93 cnf(a0, assumption,
% 17.80/2.93 X0 = X6).
% 17.80/2.93 cnf(a1, assumption,
% 17.80/2.93 X1 = X7).
% 17.80/2.93 cnf(a2, assumption,
% 17.80/2.93 X2 = X4).
% 17.80/2.93 cnf(c3, plain,
% 17.80/2.93 ~product1(X3,X2,X0) | ~product1(X1,X2,X3),
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 17.80/2.93 cnf(c4, plain,
% 17.80/2.93 equalish(X4,X5) | ~product2(X6,X7,X5),
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 17.80/2.93
% 17.80/2.93 cnf(c5, axiom,
% 17.80/2.93 ~equalish(e_3,e_2)).
% 17.80/2.93 cnf(a3, assumption,
% 17.80/2.93 X4 = e_3).
% 17.80/2.93 cnf(a4, assumption,
% 17.80/2.93 X5 = e_2).
% 17.80/2.93 cnf(c6, plain,
% 17.80/2.93 ~product2(X6,X7,X5),
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])).
% 17.80/2.93 cnf(c7, plain,
% 17.80/2.93 $false,
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])).
% 17.80/2.93
% 17.80/2.93 cnf(c8, axiom,
% 17.80/2.93 product2(X8,X8,X8)).
% 17.80/2.93 cnf(a5, assumption,
% 17.80/2.93 X6 = X8).
% 17.80/2.93 cnf(a6, assumption,
% 17.80/2.93 X7 = X8).
% 17.80/2.93 cnf(a7, assumption,
% 17.80/2.93 X5 = X8).
% 17.80/2.93 cnf(c9, plain,
% 17.80/2.93 $false,
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c6, c8])).
% 17.80/2.93 cnf(c10, plain,
% 17.80/2.93 $false,
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a5, a6, a7])], [c6, c8])).
% 17.80/2.93
% 17.80/2.93 cnf(c11, axiom,
% 17.80/2.93 product1(X9,X10,e_3) | product1(X9,X10,e_2) | product1(X9,X10,e_1) | ~group_element(X10) | ~group_element(X9)).
% 17.80/2.93 cnf(a8, assumption,
% 17.80/2.93 X3 = X9).
% 17.80/2.93 cnf(a9, assumption,
% 17.80/2.93 X2 = X10).
% 17.80/2.93 cnf(a10, assumption,
% 17.80/2.93 X0 = e_2).
% 17.80/2.93 cnf(c12, plain,
% 17.80/2.93 ~product1(X1,X2,X3),
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c3, c11])).
% 17.80/2.93 cnf(c13, plain,
% 17.80/2.93 product1(X9,X10,e_3) | product1(X9,X10,e_1) | ~group_element(X10) | ~group_element(X9),
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c3, c11])).
% 17.80/2.93
% 17.80/2.93 cnf(c14, axiom,
% 17.80/2.93 equalish(X11,X12) | ~product1(X12,X13,X14) | ~product1(X11,X13,X14)).
% 17.80/2.93 cnf(a11, assumption,
% 17.80/2.93 X9 = X11).
% 17.80/2.93 cnf(a12, assumption,
% 17.80/2.93 X10 = X13).
% 17.80/2.93 cnf(a13, assumption,
% 17.80/2.93 e_3 = X14).
% 17.80/2.93 cnf(c15, plain,
% 17.80/2.93 product1(X9,X10,e_1) | ~group_element(X10) | ~group_element(X9),
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c13, c14])).
% 17.80/2.93 cnf(c16, plain,
% 17.80/2.93 equalish(X11,X12) | ~product1(X12,X13,X14),
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c13, c14])).
% 17.80/2.93
% 17.80/2.93 cnf(c17, axiom,
% 17.80/2.93 ~equalish(e_1,e_3)).
% 17.80/2.93 cnf(a14, assumption,
% 17.80/2.93 X11 = e_1).
% 17.80/2.93 cnf(a15, assumption,
% 17.80/2.93 X12 = e_3).
% 17.80/2.93 cnf(c18, plain,
% 17.80/2.93 ~product1(X12,X13,X14),
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a14, a15])], [c16, c17])).
% 17.80/2.93 cnf(c19, plain,
% 17.80/2.93 $false,
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a14, a15])], [c16, c17])).
% 17.80/2.93
% 17.80/2.93 cnf(c20, axiom,
% 17.80/2.93 product1(X15,X15,X15)).
% 17.80/2.93 cnf(a16, assumption,
% 17.80/2.93 X12 = X15).
% 17.80/2.93 cnf(a17, assumption,
% 17.80/2.93 X13 = X15).
% 17.80/2.93 cnf(a18, assumption,
% 17.80/2.93 X14 = X15).
% 17.80/2.93 cnf(c21, plain,
% 17.80/2.93 $false,
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c18, c20])).
% 17.80/2.93 cnf(c22, plain,
% 17.80/2.93 $false,
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c18, c20])).
% 17.80/2.93
% 17.80/2.93 cnf(c23, axiom,
% 17.80/2.93 equalish(X16,X17) | ~product1(X18,X17,X19) | ~product1(X18,X16,X19)).
% 17.80/2.93 cnf(a19, assumption,
% 17.80/2.93 X9 = X18).
% 17.80/2.93 cnf(a20, assumption,
% 17.80/2.93 X10 = X16).
% 17.80/2.93 cnf(a21, assumption,
% 17.80/2.93 e_1 = X19).
% 17.80/2.93 cnf(c24, plain,
% 17.80/2.93 ~group_element(X10) | ~group_element(X9),
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c15, c23])).
% 17.80/2.93 cnf(c25, plain,
% 17.80/2.93 equalish(X16,X17) | ~product1(X18,X17,X19),
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c15, c23])).
% 17.80/2.93
% 17.80/2.93 cnf(c26, axiom,
% 17.80/2.93 ~equalish(e_3,e_1)).
% 17.80/2.93 cnf(a22, assumption,
% 17.80/2.93 X16 = e_3).
% 17.80/2.93 cnf(a23, assumption,
% 17.80/2.93 X17 = e_1).
% 17.80/2.93 cnf(c27, plain,
% 17.80/2.93 ~product1(X18,X17,X19),
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a22, a23])], [c25, c26])).
% 17.80/2.93 cnf(c28, plain,
% 17.80/2.93 $false,
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a22, a23])], [c25, c26])).
% 17.80/2.93
% 17.80/2.93 cnf(c29, axiom,
% 17.80/2.93 product1(X20,X20,X20)).
% 17.80/2.93 cnf(a24, assumption,
% 17.80/2.93 X18 = X20).
% 17.80/2.93 cnf(a25, assumption,
% 17.80/2.93 X17 = X20).
% 17.80/2.93 cnf(a26, assumption,
% 17.80/2.93 X19 = X20).
% 17.80/2.93 cnf(c30, plain,
% 17.80/2.93 $false,
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c27, c29])).
% 17.80/2.93 cnf(c31, plain,
% 17.80/2.93 $false,
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c27, c29])).
% 17.80/2.93
% 17.80/2.93 cnf(c32, axiom,
% 17.80/2.93 group_element(e_3)).
% 17.80/2.93 cnf(a27, assumption,
% 17.80/2.93 X10 = e_3).
% 17.80/2.93 cnf(c33, plain,
% 17.80/2.93 ~group_element(X9),
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a27])], [c24, c32])).
% 17.80/2.93 cnf(c34, plain,
% 17.80/2.93 $false,
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a27])], [c24, c32])).
% 17.80/2.93
% 17.80/2.93 cnf(c35, axiom,
% 17.80/2.93 group_element(e_1)).
% 17.80/2.93 cnf(a28, assumption,
% 17.80/2.93 X9 = e_1).
% 17.80/2.93 cnf(c36, plain,
% 17.80/2.93 $false,
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a28])], [c33, c35])).
% 17.80/2.93 cnf(c37, plain,
% 17.80/2.93 $false,
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a28])], [c33, c35])).
% 17.80/2.93
% 17.80/2.93 cnf(c38, axiom,
% 17.80/2.93 product1(X21,X22,e_3) | product1(X21,X22,e_2) | product1(X21,X22,e_1) | ~group_element(X22) | ~group_element(X21)).
% 17.80/2.93 cnf(a29, assumption,
% 17.80/2.93 X1 = X21).
% 17.80/2.93 cnf(a30, assumption,
% 17.80/2.93 X2 = X22).
% 17.80/2.93 cnf(a31, assumption,
% 17.80/2.93 X3 = e_1).
% 17.80/2.93 cnf(c39, plain,
% 17.80/2.93 $false,
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a29, a30, a31])], [c12, c38])).
% 17.80/2.93 cnf(c40, plain,
% 17.80/2.93 product1(X21,X22,e_3) | product1(X21,X22,e_2) | ~group_element(X22) | ~group_element(X21),
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a29, a30, a31])], [c12, c38])).
% 17.80/2.93
% 17.80/2.93 cnf(c41, axiom,
% 17.80/2.93 equalish(X23,X24) | ~product1(X24,X25,X26) | ~product1(X23,X25,X26)).
% 17.80/2.93 cnf(a32, assumption,
% 17.80/2.93 X21 = X23).
% 17.80/2.93 cnf(a33, assumption,
% 17.80/2.93 X22 = X25).
% 17.80/2.93 cnf(a34, assumption,
% 17.80/2.93 e_3 = X26).
% 17.80/2.93 cnf(c42, plain,
% 17.80/2.93 product1(X21,X22,e_2) | ~group_element(X22) | ~group_element(X21),
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a32, a33, a34])], [c40, c41])).
% 17.80/2.93 cnf(c43, plain,
% 17.80/2.93 equalish(X23,X24) | ~product1(X24,X25,X26),
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a32, a33, a34])], [c40, c41])).
% 17.80/2.93
% 17.80/2.93 cnf(c44, axiom,
% 17.80/2.93 ~equalish(e_2,e_3)).
% 17.80/2.93 cnf(a35, assumption,
% 17.80/2.93 X23 = e_2).
% 17.80/2.93 cnf(a36, assumption,
% 17.80/2.93 X24 = e_3).
% 17.80/2.93 cnf(c45, plain,
% 17.80/2.93 ~product1(X24,X25,X26),
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a35, a36])], [c43, c44])).
% 17.80/2.93 cnf(c46, plain,
% 17.80/2.93 $false,
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a35, a36])], [c43, c44])).
% 17.80/2.93
% 17.80/2.93 cnf(c47, plain,
% 17.80/2.93 product1(X12,X13,X14)).
% 17.80/2.93 cnf(a37, assumption,
% 17.80/2.93 X24 = X12).
% 17.80/2.93 cnf(a38, assumption,
% 17.80/2.93 X25 = X13).
% 17.80/2.93 cnf(a39, assumption,
% 17.80/2.93 X26 = X14).
% 17.80/2.93 cnf(c48, plain,
% 17.80/2.93 $false,
% 17.80/2.93 inference(predicate_reduction, [assumptions([a37, a38, a39])], [c45, c47])).
% 17.80/2.93
% 17.80/2.93 cnf(c49, axiom,
% 17.80/2.93 product2(X27,X28,X29) | ~product1(X30,X29,X27) | ~product1(X28,X29,X30)).
% 17.80/2.93 cnf(a40, assumption,
% 17.80/2.93 X21 = X30).
% 17.80/2.93 cnf(a41, assumption,
% 17.80/2.93 X22 = X29).
% 17.80/2.93 cnf(a42, assumption,
% 17.80/2.93 e_2 = X27).
% 17.80/2.93 cnf(c50, plain,
% 17.80/2.93 ~group_element(X22) | ~group_element(X21),
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a40, a41, a42])], [c42, c49])).
% 17.80/2.93 cnf(c51, plain,
% 17.80/2.93 product2(X27,X28,X29) | ~product1(X28,X29,X30),
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a40, a41, a42])], [c42, c49])).
% 17.80/2.93
% 17.80/2.93 cnf(c52, plain,
% 17.80/2.93 ~product2(X0,X1,X2)).
% 17.80/2.93 cnf(a43, assumption,
% 17.80/2.93 X27 = X0).
% 17.80/2.93 cnf(a44, assumption,
% 17.80/2.93 X28 = X1).
% 17.80/2.93 cnf(a45, assumption,
% 17.80/2.93 X29 = X2).
% 17.80/2.93 cnf(c53, plain,
% 17.80/2.93 ~product1(X28,X29,X30),
% 17.80/2.93 inference(predicate_reduction, [assumptions([a43, a44, a45])], [c51, c52])).
% 17.80/2.93
% 17.80/2.93 cnf(c54, plain,
% 17.80/2.93 product1(X21,X22,e_2)).
% 17.80/2.93 cnf(a46, assumption,
% 17.80/2.93 X28 = X21).
% 17.80/2.93 cnf(a47, assumption,
% 17.80/2.93 X29 = X22).
% 17.80/2.93 cnf(a48, assumption,
% 17.80/2.93 X30 = e_2).
% 17.80/2.93 cnf(c55, plain,
% 17.80/2.93 $false,
% 17.80/2.93 inference(predicate_reduction, [assumptions([a46, a47, a48])], [c53, c54])).
% 17.80/2.93
% 17.80/2.93 cnf(c56, plain,
% 17.80/2.93 group_element(X10)).
% 17.80/2.93 cnf(a49, assumption,
% 17.80/2.93 X22 = X10).
% 17.80/2.93 cnf(c57, plain,
% 17.80/2.93 ~group_element(X21),
% 17.80/2.93 inference(predicate_reduction, [assumptions([a49])], [c50, c56])).
% 17.80/2.93
% 17.80/2.93 cnf(c58, axiom,
% 17.80/2.93 group_element(e_2)).
% 17.80/2.93 cnf(a50, assumption,
% 17.80/2.93 X21 = e_2).
% 17.80/2.93 cnf(c59, plain,
% 17.80/2.93 $false,
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a50])], [c57, c58])).
% 17.80/2.93 cnf(c60, plain,
% 17.80/2.93 $false,
% 17.80/2.93 inference(strict_predicate_extension, [assumptions([a50])], [c57, c58])).
% 17.80/2.93
% 17.80/2.93 cnf(c61, plain,
% 17.80/2.93 $false,
% 17.80/2.93 inference(constraint_solving, [
% 17.80/2.93 bind(X0, e_2),
% 17.80/2.93 bind(X1, e_2),
% 17.80/2.93 bind(X2, e_3),
% 17.80/2.93 bind(X3, e_1),
% 17.80/2.93 bind(X4, e_3),
% 17.80/2.93 bind(X5, e_2),
% 17.80/2.93 bind(X6, e_2),
% 17.80/2.93 bind(X7, e_2),
% 17.80/2.93 bind(X8, e_2),
% 17.80/2.93 bind(X9, e_1),
% 17.80/2.93 bind(X10, e_3),
% 17.80/2.93 bind(X11, e_1),
% 17.80/2.93 bind(X12, e_3),
% 17.80/2.93 bind(X13, e_3),
% 17.80/2.93 bind(X14, e_3),
% 17.80/2.93 bind(X15, e_3),
% 17.80/2.93 bind(X16, e_3),
% 17.80/2.93 bind(X17, e_1),
% 17.80/2.93 bind(X18, e_1),
% 17.80/2.93 bind(X19, e_1),
% 17.80/2.93 bind(X20, e_1),
% 17.80/2.93 bind(X21, e_2),
% 17.80/2.93 bind(X22, e_3),
% 17.80/2.93 bind(X23, e_2),
% 17.80/2.93 bind(X24, e_3),
% 17.80/2.93 bind(X25, e_3),
% 17.80/2.94 bind(X26, e_3),
% 17.80/2.94 bind(X27, e_2),
% 17.80/2.94 bind(X28, e_2),
% 17.80/2.94 bind(X29, e_3),
% 17.80/2.94 bind(X30, e_2)
% 17.80/2.94 ],
% 17.80/2.94 [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])).
% 17.80/2.94
% 17.80/2.94 % SZS output end IncompleteProof
%------------------------------------------------------------------------------