TSTP Solution File: GRP433-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP433-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 : 300s
% DateTime : Tue Apr 30 20:20:37 EDT 2024
% Result : Unsatisfiable 2.46s 0.68s
% Output : CNFRefutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 2
% Syntax : Number of formulae : 75 ( 75 unt; 0 def)
% Number of atoms : 75 ( 74 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 121 ( 121 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),multiply(D,inverse(D)))) = C,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(X3,inverse(X3)))) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f5,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(X0)) = inverse(multiply(multiply(multiply(X1,multiply(inverse(multiply(multiply(X2,X3),X1)),X2)),X3),multiply(X4,inverse(X4)))),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f6,plain,
! [X0,X1,X2,X3,X4,X5,X6] : X0 = inverse(multiply(multiply(multiply(inverse(multiply(multiply(X1,X2),X0)),X1),X2),multiply(multiply(multiply(multiply(inverse(multiply(multiply(X3,X4),X5)),X3),X4),multiply(X6,inverse(X6))),X5))),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f7,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2),multiply(X3,inverse(X3)))) = multiply(a1,inverse(a1)),
inference(equality_split,[status(esa)],[f5]) ).
fof(f8,plain,
! [X0] : multiply(X0,inverse(X0)) = multiply(a1,inverse(a1)),
inference(equality_split,[status(esa)],[f5]) ).
fof(f12,plain,
! [X0,X1,X2] : multiply(a1,inverse(a1)) = inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(a1,inverse(a1)),X0)),X1)),inverse(X1)),multiply(X2,inverse(X2)))),
inference(paramodulation,[status(thm)],[f8,f7]) ).
fof(f24,plain,
! [X0,X1] : multiply(a1,inverse(a1)) = inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(a1,inverse(a1)),X0)),X1)),inverse(X1)),multiply(a1,inverse(a1)))),
inference(forward_demodulation,[status(thm)],[f8,f12]) ).
fof(f48,plain,
! [X0] : multiply(a1,inverse(a1)) = inverse(multiply(multiply(multiply(inverse(multiply(a1,inverse(a1))),multiply(inverse(multiply(a1,inverse(a1))),X0)),inverse(X0)),multiply(a1,inverse(a1)))),
inference(paramodulation,[status(thm)],[f8,f24]) ).
fof(f69,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(multiply(X0,X1)) = inverse(multiply(multiply(multiply(inverse(multiply(a1,inverse(a1))),X0),X1),multiply(multiply(multiply(multiply(inverse(multiply(multiply(X2,X3),X4)),X2),X3),multiply(X5,inverse(X5))),X4))),
inference(paramodulation,[status(thm)],[f8,f6]) ).
fof(f85,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(X3,inverse(X3))),X2) = inverse(multiply(multiply(multiply(X4,multiply(inverse(multiply(multiply(X5,X6),X4)),X5)),X6),multiply(X7,inverse(X7)))),
inference(paramodulation,[status(thm)],[f6,f3]) ).
fof(f100,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(X0,X1)) = inverse(multiply(multiply(multiply(inverse(multiply(a1,inverse(a1))),X0),X1),multiply(multiply(multiply(multiply(inverse(multiply(multiply(X2,X3),X4)),X2),X3),multiply(a1,inverse(a1))),X4))),
inference(forward_demodulation,[status(thm)],[f8,f69]) ).
fof(f117,plain,
! [X0,X1,X2,X4,X5,X6,X7] : multiply(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(a1,inverse(a1))),X2) = inverse(multiply(multiply(multiply(X4,multiply(inverse(multiply(multiply(X5,X6),X4)),X5)),X6),multiply(X7,inverse(X7)))),
inference(forward_demodulation,[status(thm)],[f8,f85]) ).
fof(f123,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = inverse(multiply(multiply(multiply(inverse(multiply(a1,inverse(a1))),X0),X1),multiply(a1,inverse(a1)))),
inference(backward_demodulation,[status(thm)],[f128,f100]) ).
fof(f128,plain,
! [X0,X1,X2] : multiply(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(a1,inverse(a1))),X2) = multiply(a1,inverse(a1)),
inference(forward_demodulation,[status(thm)],[f7,f117]) ).
fof(f139,plain,
! [X0] : multiply(a1,inverse(a1)) = inverse(multiply(multiply(inverse(multiply(a1,inverse(a1))),X0),inverse(X0))),
inference(backward_demodulation,[status(thm)],[f123,f48]) ).
fof(f142,plain,
multiply(a1,inverse(a1)) = inverse(multiply(multiply(a1,inverse(a1)),inverse(inverse(inverse(multiply(a1,inverse(a1))))))),
inference(paramodulation,[status(thm)],[f8,f139]) ).
fof(f143,plain,
! [X0] : multiply(a1,inverse(a1)) = inverse(multiply(multiply(inverse(multiply(a1,inverse(a1))),multiply(multiply(inverse(multiply(a1,inverse(a1))),X0),inverse(X0))),multiply(a1,inverse(a1)))),
inference(paramodulation,[status(thm)],[f139,f139]) ).
fof(f152,plain,
! [X0,X1] : inverse(X0) = inverse(multiply(multiply(multiply(multiply(a1,inverse(a1)),inverse(multiply(a1,inverse(a1)))),X0),multiply(X1,inverse(X1)))),
inference(paramodulation,[status(thm)],[f139,f3]) ).
fof(f168,plain,
! [X0,X1] : inverse(X0) = inverse(multiply(multiply(multiply(a1,inverse(a1)),X0),multiply(X1,inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f8,f152]) ).
fof(f169,plain,
! [X0] : inverse(X0) = inverse(multiply(multiply(multiply(a1,inverse(a1)),X0),multiply(a1,inverse(a1)))),
inference(forward_demodulation,[status(thm)],[f8,f168]) ).
fof(f171,plain,
inverse(inverse(multiply(a1,inverse(a1)))) = inverse(multiply(multiply(a1,inverse(a1)),multiply(a1,inverse(a1)))),
inference(paramodulation,[status(thm)],[f8,f169]) ).
fof(f193,plain,
! [X0] : multiply(a1,inverse(a1)) = inverse(multiply(multiply(multiply(inverse(inverse(multiply(a1,inverse(a1)))),a1),inverse(a1)),multiply(X0,inverse(X0)))),
inference(paramodulation,[status(thm)],[f171,f3]) ).
fof(f204,plain,
multiply(a1,inverse(a1)) = inverse(multiply(multiply(multiply(inverse(inverse(multiply(a1,inverse(a1)))),a1),inverse(a1)),multiply(a1,inverse(a1)))),
inference(forward_demodulation,[status(thm)],[f8,f193]) ).
fof(f212,plain,
multiply(a1,inverse(a1)) = inverse(multiply(multiply(inverse(multiply(a1,inverse(a1))),multiply(multiply(a1,inverse(a1)),inverse(inverse(inverse(multiply(a1,inverse(a1))))))),multiply(a1,inverse(a1)))),
inference(paramodulation,[status(thm)],[f142,f139]) ).
fof(f226,plain,
! [X0] : inverse(multiply(X0,inverse(multiply(inverse(multiply(a1,inverse(a1))),X0)))) = inverse(multiply(multiply(a1,inverse(a1)),multiply(a1,inverse(a1)))),
inference(paramodulation,[status(thm)],[f8,f123]) ).
fof(f230,plain,
! [X0,X1] : multiply(a1,inverse(a1)) = inverse(multiply(multiply(inverse(multiply(multiply(X0,X1),inverse(multiply(a1,inverse(a1))))),X0),X1)),
inference(paramodulation,[status(thm)],[f123,f7]) ).
fof(f242,plain,
! [X0] : inverse(multiply(X0,inverse(multiply(inverse(multiply(a1,inverse(a1))),X0)))) = inverse(inverse(multiply(a1,inverse(a1)))),
inference(forward_demodulation,[status(thm)],[f171,f226]) ).
fof(f254,plain,
! [X0,X1,X2] : inverse(multiply(inverse(multiply(a1,inverse(a1))),multiply(X0,X1))) = inverse(multiply(multiply(multiply(inverse(inverse(multiply(a1,inverse(a1)))),X0),X1),multiply(X2,inverse(X2)))),
inference(paramodulation,[status(thm)],[f242,f3]) ).
fof(f267,plain,
multiply(a1,inverse(a1)) = inverse(multiply(inverse(multiply(a1,inverse(a1))),multiply(a1,inverse(a1)))),
inference(backward_demodulation,[status(thm)],[f268,f204]) ).
fof(f268,plain,
! [X0,X1] : inverse(multiply(inverse(multiply(a1,inverse(a1))),multiply(X0,X1))) = inverse(multiply(multiply(multiply(inverse(inverse(multiply(a1,inverse(a1)))),X0),X1),multiply(a1,inverse(a1)))),
inference(forward_demodulation,[status(thm)],[f8,f254]) ).
fof(f276,plain,
multiply(a1,inverse(a1)) = multiply(multiply(inverse(multiply(a1,inverse(a1))),multiply(a1,inverse(a1))),multiply(a1,inverse(a1))),
inference(paramodulation,[status(thm)],[f267,f8]) ).
fof(f282,plain,
multiply(a1,inverse(a1)) = inverse(multiply(multiply(multiply(a1,inverse(a1)),inverse(multiply(a1,inverse(a1)))),multiply(a1,inverse(a1)))),
inference(paramodulation,[status(thm)],[f139,f230]) ).
fof(f288,plain,
! [X0,X1,X2] : X0 = inverse(multiply(multiply(multiply(multiply(a1,inverse(a1)),inverse(multiply(multiply(X1,X0),inverse(multiply(a1,inverse(a1)))))),X1),multiply(X2,inverse(X2)))),
inference(paramodulation,[status(thm)],[f230,f3]) ).
fof(f290,plain,
! [X0,X1] : multiply(a1,inverse(a1)) = inverse(multiply(multiply(inverse(multiply(a1,inverse(a1))),multiply(multiply(inverse(multiply(multiply(X0,X1),inverse(multiply(a1,inverse(a1))))),X0),X1)),multiply(a1,inverse(a1)))),
inference(paramodulation,[status(thm)],[f230,f139]) ).
fof(f296,plain,
multiply(a1,inverse(a1)) = inverse(multiply(multiply(a1,inverse(a1)),inverse(multiply(a1,inverse(a1))))),
inference(backward_demodulation,[status(thm)],[f331,f142]) ).
fof(f304,plain,
! [X0,X1] : inverse(multiply(inverse(multiply(a1,inverse(a1))),multiply(X0,X1))) = inverse(multiply(multiply(multiply(multiply(a1,inverse(a1)),X0),X1),multiply(a1,inverse(a1)))),
inference(backward_demodulation,[status(thm)],[f331,f268]) ).
fof(f314,plain,
multiply(a1,inverse(a1)) = inverse(multiply(multiply(inverse(multiply(a1,inverse(a1))),multiply(multiply(a1,inverse(a1)),inverse(multiply(a1,inverse(a1))))),multiply(a1,inverse(a1)))),
inference(backward_demodulation,[status(thm)],[f331,f212]) ).
fof(f331,plain,
multiply(a1,inverse(a1)) = inverse(inverse(multiply(a1,inverse(a1)))),
inference(forward_demodulation,[status(thm)],[f169,f282]) ).
fof(f335,plain,
! [X0,X1] : X0 = inverse(multiply(multiply(multiply(multiply(a1,inverse(a1)),inverse(multiply(multiply(X1,X0),inverse(multiply(a1,inverse(a1)))))),X1),multiply(a1,inverse(a1)))),
inference(forward_demodulation,[status(thm)],[f8,f288]) ).
fof(f346,plain,
! [X0,X1] : multiply(a1,inverse(a1)) = inverse(multiply(multiply(inverse(multiply(a1,inverse(a1))),multiply(multiply(inverse(multiply(multiply(X0,X1),multiply(a1,inverse(a1)))),X0),X1)),multiply(a1,inverse(a1)))),
inference(backward_demodulation,[status(thm)],[f392,f290]) ).
fof(f348,plain,
! [X0,X1] : X0 = inverse(multiply(multiply(multiply(multiply(a1,inverse(a1)),inverse(multiply(multiply(X1,X0),multiply(a1,inverse(a1))))),X1),multiply(a1,inverse(a1)))),
inference(backward_demodulation,[status(thm)],[f392,f335]) ).
fof(f352,plain,
multiply(a1,inverse(a1)) = inverse(multiply(a1,inverse(a1))),
inference(backward_demodulation,[status(thm)],[f392,f331]) ).
fof(f356,plain,
multiply(a1,inverse(a1)) = multiply(multiply(multiply(a1,inverse(a1)),multiply(a1,inverse(a1))),multiply(a1,inverse(a1))),
inference(backward_demodulation,[status(thm)],[f392,f276]) ).
fof(f381,plain,
! [X0] : multiply(a1,inverse(a1)) = inverse(multiply(multiply(inverse(multiply(a1,inverse(a1))),multiply(multiply(multiply(a1,inverse(a1)),X0),inverse(X0))),multiply(a1,inverse(a1)))),
inference(backward_demodulation,[status(thm)],[f392,f143]) ).
fof(f392,plain,
multiply(a1,inverse(a1)) = inverse(multiply(a1,inverse(a1))),
inference(forward_demodulation,[status(thm)],[f8,f296]) ).
fof(f409,plain,
multiply(a1,inverse(a1)) = inverse(multiply(multiply(inverse(multiply(a1,inverse(a1))),multiply(a1,inverse(a1))),multiply(a1,inverse(a1)))),
inference(forward_demodulation,[status(thm)],[f8,f314]) ).
fof(f418,plain,
! [X0,X1] : multiply(a1,inverse(a1)) = inverse(multiply(multiply(multiply(a1,inverse(a1)),multiply(multiply(inverse(multiply(multiply(X0,X1),multiply(a1,inverse(a1)))),X0),X1)),multiply(a1,inverse(a1)))),
inference(backward_demodulation,[status(thm)],[f352,f346]) ).
fof(f422,plain,
multiply(a1,inverse(a1)) = inverse(multiply(multiply(multiply(a1,inverse(a1)),multiply(a1,inverse(a1))),multiply(a1,inverse(a1)))),
inference(backward_demodulation,[status(thm)],[f352,f409]) ).
fof(f432,plain,
! [X0,X1] : inverse(multiply(multiply(a1,inverse(a1)),multiply(X0,X1))) = inverse(multiply(multiply(multiply(multiply(a1,inverse(a1)),X0),X1),multiply(a1,inverse(a1)))),
inference(backward_demodulation,[status(thm)],[f352,f304]) ).
fof(f444,plain,
! [X0,X1] : multiply(a1,inverse(a1)) = inverse(multiply(multiply(inverse(multiply(multiply(X0,X1),multiply(a1,inverse(a1)))),X0),X1)),
inference(forward_demodulation,[status(thm)],[f169,f418]) ).
fof(f453,plain,
! [X0] : multiply(a1,inverse(a1)) = inverse(multiply(multiply(multiply(a1,inverse(a1)),multiply(multiply(multiply(a1,inverse(a1)),X0),inverse(X0))),multiply(a1,inverse(a1)))),
inference(backward_demodulation,[status(thm)],[f461,f381]) ).
fof(f461,plain,
multiply(a1,inverse(a1)) = inverse(multiply(a1,inverse(a1))),
inference(forward_demodulation,[status(thm)],[f169,f422]) ).
fof(f464,plain,
! [X0,X1] : X0 = inverse(multiply(multiply(a1,inverse(a1)),multiply(inverse(multiply(multiply(X1,X0),multiply(a1,inverse(a1)))),X1))),
inference(backward_demodulation,[status(thm)],[f432,f348]) ).
fof(f470,plain,
! [X0] : multiply(a1,inverse(a1)) = inverse(multiply(multiply(multiply(a1,inverse(a1)),X0),inverse(X0))),
inference(forward_demodulation,[status(thm)],[f169,f453]) ).
fof(f475,plain,
multiply(a1,inverse(a1)) = multiply(multiply(a1,inverse(a1)),multiply(a1,inverse(a1))),
inference(paramodulation,[status(thm)],[f461,f8]) ).
fof(f483,plain,
multiply(a1,inverse(a1)) = multiply(multiply(a1,inverse(a1)),multiply(a1,inverse(a1))),
inference(backward_demodulation,[status(thm)],[f475,f356]) ).
fof(f854,plain,
! [X0] : X0 = inverse(multiply(multiply(a1,inverse(a1)),multiply(multiply(a1,inverse(a1)),inverse(multiply(multiply(X0,multiply(a1,inverse(a1))),multiply(a1,inverse(a1))))))),
inference(paramodulation,[status(thm)],[f444,f464]) ).
fof(f860,plain,
! [X0,X1,X2] : X0 = inverse(multiply(multiply(a1,inverse(a1)),multiply(multiply(a1,inverse(a1)),multiply(X1,multiply(inverse(multiply(multiply(X2,X0),X1)),X2))))),
inference(paramodulation,[status(thm)],[f7,f464]) ).
fof(f864,plain,
! [X0] : inverse(X0) = inverse(multiply(multiply(a1,inverse(a1)),multiply(inverse(multiply(multiply(a1,inverse(a1)),multiply(a1,inverse(a1)))),X0))),
inference(paramodulation,[status(thm)],[f8,f464]) ).
fof(f884,plain,
! [X0] : inverse(X0) = inverse(multiply(multiply(a1,inverse(a1)),multiply(inverse(multiply(a1,inverse(a1))),X0))),
inference(forward_demodulation,[status(thm)],[f483,f864]) ).
fof(f886,plain,
! [X0,X1,X2] : X0 = inverse(multiply(X1,multiply(inverse(multiply(multiply(X2,X0),X1)),X2))),
inference(backward_demodulation,[status(thm)],[f889,f860]) ).
fof(f887,plain,
! [X0] : X0 = inverse(inverse(multiply(multiply(X0,multiply(a1,inverse(a1))),multiply(a1,inverse(a1))))),
inference(backward_demodulation,[status(thm)],[f889,f854]) ).
fof(f889,plain,
! [X0] : inverse(X0) = inverse(multiply(multiply(a1,inverse(a1)),multiply(multiply(a1,inverse(a1)),X0))),
inference(forward_demodulation,[status(thm)],[f461,f884]) ).
fof(f901,plain,
! [X0] : X0 = inverse(multiply(inverse(X0),multiply(multiply(a1,inverse(a1)),multiply(a1,inverse(a1))))),
inference(paramodulation,[status(thm)],[f470,f886]) ).
fof(f929,plain,
! [X0] : X0 = inverse(multiply(inverse(X0),multiply(a1,inverse(a1)))),
inference(forward_demodulation,[status(thm)],[f483,f901]) ).
fof(f973,plain,
! [X0] : multiply(inverse(X0),multiply(a1,inverse(a1))) = inverse(multiply(X0,multiply(a1,inverse(a1)))),
inference(paramodulation,[status(thm)],[f929,f929]) ).
fof(f989,plain,
! [X0] : multiply(a1,inverse(a1)) = multiply(multiply(inverse(X0),multiply(a1,inverse(a1))),X0),
inference(paramodulation,[status(thm)],[f929,f8]) ).
fof(f1033,plain,
! [X0] : X0 = inverse(multiply(inverse(multiply(X0,multiply(a1,inverse(a1)))),multiply(a1,inverse(a1)))),
inference(backward_demodulation,[status(thm)],[f973,f887]) ).
fof(f1172,plain,
! [X0] : multiply(a1,inverse(a1)) = multiply(inverse(X0),X0),
inference(backward_demodulation,[status(thm)],[f1191,f989]) ).
fof(f1191,plain,
! [X0] : X0 = multiply(X0,multiply(a1,inverse(a1))),
inference(forward_demodulation,[status(thm)],[f929,f1033]) ).
fof(f1261,plain,
multiply(inverse(a1),a1) != multiply(a1,inverse(a1)),
inference(backward_demodulation,[status(thm)],[f1172,f4]) ).
fof(f1340,plain,
$false,
inference(resolution,[status(thm)],[f1261,f1172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP433-1 : TPTP v8.1.2. Released v2.6.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n012.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 : 300
% 0.13/0.34 % DateTime : Tue Apr 30 00:14:27 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 2.46/0.68 % Refutation found
% 2.46/0.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.46/0.68 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.46/0.72 % Elapsed time: 0.361619 seconds
% 2.46/0.72 % CPU time: 2.752148 seconds
% 2.46/0.72 % Total memory used: 87.715 MB
% 2.46/0.72 % Net memory used: 87.083 MB
%------------------------------------------------------------------------------