TSTP Solution File: GRP012+5 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : GRP012+5 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n029.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 10:08:34 EDT 2022
% Result : Theorem 5.86s 1.14s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP012+5 : TPTP v8.1.0. Released v3.1.0.
% 0.13/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.35 % Computer : n029.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 : Tue Jun 14 13:54:56 EDT 2022
% 0.13/0.35 % CPUTime :
% 5.86/1.14 % SZS status Theorem
% 5.86/1.14 % SZS output begin IncompleteProof
% 5.86/1.14 cnf(c0, axiom,
% 5.86/1.14 ~product(inverse(sK3),inverse(sK4),sK0)).
% 5.86/1.14 cnf(c1, plain,
% 5.86/1.14 ~product(inverse(sK3),inverse(sK4),sK0),
% 5.86/1.14 inference(start, [], [c0])).
% 5.86/1.14
% 5.86/1.14 cnf(c2, axiom,
% 5.86/1.14 product(X0,X1,X2) | ~product(X3,X4,X2) | ~product(X5,X1,X4) | ~product(X3,X5,X0)).
% 5.86/1.14 cnf(a0, assumption,
% 5.86/1.14 inverse(sK3) = X0).
% 5.86/1.14 cnf(a1, assumption,
% 5.86/1.14 inverse(sK4) = X1).
% 5.86/1.14 cnf(a2, assumption,
% 5.86/1.14 sK0 = X2).
% 5.86/1.14 cnf(c3, plain,
% 5.86/1.14 $false,
% 5.86/1.14 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 5.86/1.14 cnf(c4, plain,
% 5.86/1.14 ~product(X3,X4,X2) | ~product(X5,X1,X4) | ~product(X3,X5,X0),
% 5.86/1.14 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 5.86/1.14
% 5.86/1.14 cnf(c5, axiom,
% 5.86/1.14 product(sK0,X6,X6)).
% 5.86/1.14 cnf(a3, assumption,
% 5.86/1.14 X3 = sK0).
% 5.86/1.14 cnf(a4, assumption,
% 5.86/1.14 X4 = X6).
% 5.86/1.14 cnf(a5, assumption,
% 5.86/1.14 X2 = X6).
% 5.86/1.14 cnf(c6, plain,
% 5.86/1.14 ~product(X5,X1,X4) | ~product(X3,X5,X0),
% 5.86/1.14 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 5.86/1.14 cnf(c7, plain,
% 5.86/1.14 $false,
% 5.86/1.14 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 5.86/1.14
% 5.86/1.14 cnf(c8, axiom,
% 5.86/1.14 product(X7,inverse(X7),sK0)).
% 5.86/1.14 cnf(a6, assumption,
% 5.86/1.14 X5 = X7).
% 5.86/1.14 cnf(a7, assumption,
% 5.86/1.14 X1 = inverse(X7)).
% 5.86/1.14 cnf(a8, assumption,
% 5.86/1.14 X4 = sK0).
% 5.86/1.14 cnf(c9, plain,
% 5.86/1.14 ~product(X3,X5,X0),
% 5.86/1.14 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c8])).
% 5.86/1.14 cnf(c10, plain,
% 5.86/1.14 $false,
% 5.86/1.14 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c8])).
% 5.86/1.14
% 5.86/1.14 cnf(c11, axiom,
% 5.86/1.14 product(X8,X9,X10) | ~product(X11,X12,X10) | ~product(X13,X9,X12) | ~product(X11,X13,X8)).
% 5.86/1.14 cnf(a9, assumption,
% 5.86/1.14 X3 = X8).
% 5.86/1.14 cnf(a10, assumption,
% 5.86/1.14 X5 = X9).
% 5.86/1.14 cnf(a11, assumption,
% 5.86/1.14 X0 = X10).
% 5.86/1.14 cnf(c12, plain,
% 5.86/1.14 $false,
% 5.86/1.14 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c9, c11])).
% 5.86/1.14 cnf(c13, plain,
% 5.86/1.14 ~product(X11,X12,X10) | ~product(X13,X9,X12) | ~product(X11,X13,X8),
% 5.86/1.14 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c9, c11])).
% 5.86/1.14
% 5.86/1.14 cnf(c14, axiom,
% 5.86/1.14 product(X14,sK0,X14)).
% 5.86/1.14 cnf(a12, assumption,
% 5.86/1.14 X11 = X14).
% 5.86/1.14 cnf(a13, assumption,
% 5.86/1.14 X12 = sK0).
% 5.86/1.14 cnf(a14, assumption,
% 5.86/1.14 X10 = X14).
% 5.86/1.14 cnf(c15, plain,
% 5.86/1.14 ~product(X13,X9,X12) | ~product(X11,X13,X8),
% 5.86/1.14 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c13, c14])).
% 5.86/1.14 cnf(c16, plain,
% 5.86/1.14 $false,
% 5.86/1.14 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c13, c14])).
% 5.86/1.14
% 5.86/1.14 cnf(c17, axiom,
% 5.86/1.14 product(X15,X16,X17) | ~product(X18,X19,X17) | ~product(X20,X16,X19) | ~product(X18,X20,X15)).
% 5.86/1.14 cnf(a15, assumption,
% 5.86/1.14 X13 = X15).
% 5.86/1.14 cnf(a16, assumption,
% 5.86/1.14 X9 = X16).
% 5.86/1.14 cnf(a17, assumption,
% 5.86/1.14 X12 = X17).
% 5.86/1.14 cnf(c18, plain,
% 5.86/1.14 ~product(X11,X13,X8),
% 5.86/1.14 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c15, c17])).
% 5.86/1.14 cnf(c19, plain,
% 5.86/1.14 ~product(X18,X19,X17) | ~product(X20,X16,X19) | ~product(X18,X20,X15),
% 5.86/1.14 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c15, c17])).
% 5.86/1.14
% 5.86/1.14 cnf(c20, axiom,
% 5.86/1.14 product(inverse(X21),X21,sK0)).
% 5.86/1.14 cnf(a18, assumption,
% 5.86/1.14 X18 = inverse(X21)).
% 5.86/1.14 cnf(a19, assumption,
% 5.86/1.14 X19 = X21).
% 5.86/1.14 cnf(a20, assumption,
% 5.86/1.14 X17 = sK0).
% 5.86/1.14 cnf(c21, plain,
% 5.86/1.14 ~product(X20,X16,X19) | ~product(X18,X20,X15),
% 5.86/1.14 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c19, c20])).
% 5.86/1.14 cnf(c22, plain,
% 5.86/1.14 $false,
% 5.86/1.14 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c19, c20])).
% 5.86/1.14
% 5.86/1.14 cnf(c23, axiom,
% 5.86/1.14 product(X22,X23,X24) | ~product(X25,X26,X24) | ~product(X27,X26,X23) | ~product(X22,X27,X25)).
% 5.86/1.14 cnf(a21, assumption,
% 5.86/1.14 X20 = X22).
% 5.86/1.14 cnf(a22, assumption,
% 5.86/1.14 X16 = X23).
% 5.86/1.14 cnf(a23, assumption,
% 5.86/1.14 X19 = X24).
% 5.86/1.14 cnf(c24, plain,
% 5.86/1.14 ~product(X18,X20,X15),
% 5.86/1.14 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c21, c23])).
% 5.86/1.14 cnf(c25, plain,
% 5.86/1.14 ~product(X25,X26,X24) | ~product(X27,X26,X23) | ~product(X22,X27,X25),
% 5.86/1.14 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c21, c23])).
% 5.86/1.14
% 5.86/1.14 cnf(c26, axiom,
% 5.86/1.14 product(sK0,X28,X28)).
% 5.86/1.14 cnf(a24, assumption,
% 5.86/1.14 X25 = sK0).
% 5.86/1.14 cnf(a25, assumption,
% 5.86/1.14 X26 = X28).
% 5.86/1.14 cnf(a26, assumption,
% 5.86/1.14 X24 = X28).
% 5.86/1.14 cnf(c27, plain,
% 5.86/1.14 ~product(X27,X26,X23) | ~product(X22,X27,X25),
% 5.86/1.14 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c25, c26])).
% 5.86/1.14 cnf(c28, plain,
% 5.86/1.14 $false,
% 5.86/1.14 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c25, c26])).
% 5.86/1.14
% 5.86/1.14 cnf(c29, axiom,
% 5.86/1.14 product(sK2,sK1,sK4)).
% 5.86/1.14 cnf(a27, assumption,
% 5.86/1.14 X27 = sK2).
% 5.86/1.14 cnf(a28, assumption,
% 5.86/1.14 X26 = sK1).
% 5.86/1.14 cnf(a29, assumption,
% 5.86/1.14 X23 = sK4).
% 5.86/1.14 cnf(c30, plain,
% 5.86/1.14 ~product(X22,X27,X25),
% 5.86/1.14 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c27, c29])).
% 5.86/1.14 cnf(c31, plain,
% 5.86/1.14 $false,
% 5.86/1.14 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c27, c29])).
% 5.86/1.14
% 5.86/1.14 cnf(c32, axiom,
% 5.86/1.14 product(inverse(X29),X29,sK0)).
% 5.86/1.14 cnf(a30, assumption,
% 5.86/1.14 X22 = inverse(X29)).
% 5.86/1.14 cnf(a31, assumption,
% 5.86/1.14 X27 = X29).
% 5.86/1.14 cnf(a32, assumption,
% 5.86/1.14 X25 = sK0).
% 5.86/1.14 cnf(c33, plain,
% 5.86/1.14 $false,
% 5.86/1.14 inference(strict_predicate_extension, [assumptions([a30, a31, a32])], [c30, c32])).
% 5.86/1.14 cnf(c34, plain,
% 5.86/1.14 $false,
% 5.86/1.14 inference(strict_predicate_extension, [assumptions([a30, a31, a32])], [c30, c32])).
% 5.86/1.14
% 5.86/1.14 cnf(c35, axiom,
% 5.86/1.14 product(inverse(sK1),inverse(sK2),sK3)).
% 5.86/1.14 cnf(a33, assumption,
% 5.86/1.14 X18 = inverse(sK1)).
% 5.86/1.14 cnf(a34, assumption,
% 5.86/1.14 X20 = inverse(sK2)).
% 5.86/1.14 cnf(a35, assumption,
% 5.86/1.14 X15 = sK3).
% 5.86/1.14 cnf(c36, plain,
% 5.86/1.14 $false,
% 5.86/1.14 inference(strict_predicate_extension, [assumptions([a33, a34, a35])], [c24, c35])).
% 5.86/1.14 cnf(c37, plain,
% 5.86/1.14 $false,
% 5.86/1.14 inference(strict_predicate_extension, [assumptions([a33, a34, a35])], [c24, c35])).
% 5.86/1.14
% 5.86/1.14 cnf(c38, axiom,
% 5.86/1.14 product(inverse(X30),X30,sK0)).
% 5.86/1.14 cnf(a36, assumption,
% 5.86/1.14 X11 = inverse(X30)).
% 5.86/1.14 cnf(a37, assumption,
% 5.86/1.14 X13 = X30).
% 5.86/1.14 cnf(a38, assumption,
% 5.86/1.14 X8 = sK0).
% 5.86/1.14 cnf(c39, plain,
% 5.86/1.14 $false,
% 5.86/1.14 inference(strict_predicate_extension, [assumptions([a36, a37, a38])], [c18, c38])).
% 5.86/1.14 cnf(c40, plain,
% 5.86/1.14 $false,
% 5.86/1.14 inference(strict_predicate_extension, [assumptions([a36, a37, a38])], [c18, c38])).
% 5.86/1.14
% 5.86/1.14 cnf(c41, plain,
% 5.86/1.14 $false,
% 5.86/1.14 inference(constraint_solving, [
% 5.86/1.14 bind(X0, inverse(sK3)),
% 5.86/1.14 bind(X1, inverse(sK4)),
% 5.86/1.14 bind(X2, sK0),
% 5.86/1.14 bind(X3, sK0),
% 5.86/1.14 bind(X4, sK0),
% 5.86/1.14 bind(X5, sK4),
% 5.86/1.14 bind(X6, sK0),
% 5.86/1.14 bind(X7, sK4),
% 5.86/1.14 bind(X8, sK0),
% 5.86/1.14 bind(X9, sK4),
% 5.86/1.14 bind(X10, inverse(sK3)),
% 5.86/1.14 bind(X11, inverse(sK3)),
% 5.86/1.14 bind(X12, sK0),
% 5.86/1.14 bind(X13, sK3),
% 5.86/1.14 bind(X14, inverse(sK3)),
% 5.86/1.14 bind(X15, sK3),
% 5.86/1.14 bind(X16, sK4),
% 5.86/1.14 bind(X17, sK0),
% 5.86/1.14 bind(X18, inverse(X21)),
% 5.86/1.14 bind(X19, sK1),
% 5.86/1.14 bind(X20, inverse(X29)),
% 5.86/1.14 bind(X21, sK1),
% 5.86/1.14 bind(X22, inverse(X29)),
% 5.86/1.14 bind(X23, sK4),
% 5.86/1.14 bind(X24, sK1),
% 5.86/1.14 bind(X25, sK0),
% 5.86/1.14 bind(X26, sK1),
% 5.86/1.14 bind(X27, sK2),
% 5.86/1.14 bind(X28, sK1),
% 5.86/1.14 bind(X29, sK2),
% 5.86/1.14 bind(X30, sK3)
% 5.86/1.14 ],
% 5.86/1.14 [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])).
% 5.86/1.14
% 5.86/1.14 % SZS output end IncompleteProof
%------------------------------------------------------------------------------