TSTP Solution File: GRP062-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP062-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 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 : 300s
% DateTime : Wed May 31 12:10:05 EDT 2023
% Result : Unsatisfiable 95.64s 12.35s
% Output : CNFRefutation 96.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 5
% Syntax : Number of formulae : 83 ( 68 unt; 0 def)
% Number of atoms : 101 ( 79 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 15 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 233 (; 233 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z,U] : inverse(multiply(X,multiply(Y,multiply(multiply(Z,inverse(Z)),inverse(multiply(U,multiply(X,Y))))))) = U,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2,X3] : inverse(multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X0,X1))))))) = X3,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f5,plain,
( spl0_0
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(split_symbol_definition) ).
fof(f7,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(component_clause,[status(thm)],[f5]) ).
fof(f8,plain,
( spl0_1
<=> multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(split_symbol_definition) ).
fof(f10,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| spl0_1 ),
inference(component_clause,[status(thm)],[f8]) ).
fof(f11,plain,
( spl0_2
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(split_symbol_definition) ).
fof(f13,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(component_clause,[status(thm)],[f11]) ).
fof(f14,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f4,f5,f8,f11]) ).
fof(f15,plain,
! [X0,X1,X2,X3,X4,X5,X6] : inverse(multiply(X0,multiply(X1,multiply(multiply(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,multiply(X2,X3)))))),X5),inverse(multiply(X6,multiply(X0,X1))))))) = X6,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,X0)))),multiply(multiply(X4,inverse(X4)),X2)))) = X3,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f19,plain,
! [X0,X1,X2,X3,X4,X5,X6] : inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),multiply(multiply(multiply(X2,inverse(X2)),X3),multiply(multiply(X4,inverse(X4)),X5)))) = multiply(multiply(X6,inverse(X6)),inverse(multiply(X1,multiply(X3,X5)))),
inference(paramodulation,[status(thm)],[f16,f16]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(X2,X3)))),multiply(multiply(multiply(X4,inverse(X4)),X1),multiply(multiply(X5,inverse(X5)),X2)))) = X3,
inference(paramodulation,[status(thm)],[f3,f16]) ).
fof(f100,plain,
! [X0,X1,X2,X3] : X0 = multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(multiply(X2,multiply(X3,X0))),multiply(X2,X3)))),
inference(paramodulation,[status(thm)],[f20,f19]) ).
fof(f183,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(multiply(X0,inverse(X0)),X1) = multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,multiply(X1,X3)))),multiply(multiply(X6,inverse(X6)),X5))))),
inference(paramodulation,[status(thm)],[f20,f100]) ).
fof(f184,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X0)),X1) = multiply(multiply(X2,inverse(X2)),X1),
inference(forward_demodulation,[status(thm)],[f16,f183]) ).
fof(f289,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : inverse(multiply(X0,multiply(X1,multiply(multiply(multiply(X2,multiply(X3,multiply(multiply(X4,inverse(X4)),inverse(multiply(X5,multiply(X2,X3)))))),X5),inverse(multiply(multiply(X6,inverse(X6)),multiply(X0,X1))))))) = multiply(X7,inverse(X7)),
inference(paramodulation,[status(thm)],[f184,f15]) ).
fof(f290,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f15,f289]) ).
fof(f383,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(X0,X1)))))),X3) = multiply(X4,inverse(X4)),
inference(paramodulation,[status(thm)],[f3,f290]) ).
fof(f423,plain,
! [X0,X1,X2,X3] : X0 = multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(multiply(X2,multiply(inverse(X2),X0))),multiply(X3,inverse(X3))))),
inference(paramodulation,[status(thm)],[f290,f100]) ).
fof(f424,plain,
! [X0,X1,X2,X3] : inverse(X0) = multiply(multiply(X1,inverse(X1)),inverse(multiply(inverse(multiply(X2,multiply(X3,inverse(X3)))),multiply(X2,X0)))),
inference(paramodulation,[status(thm)],[f290,f100]) ).
fof(f1736,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(X0),multiply(X1,multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,multiply(inverse(X3),X1))))))) = X0,
inference(paramodulation,[status(thm)],[f423,f16]) ).
fof(f1737,plain,
! [X0,X1,X2] : inverse(multiply(X0,multiply(inverse(X0),X1))) = inverse(multiply(X2,multiply(inverse(X2),X1))),
inference(paramodulation,[status(thm)],[f423,f3]) ).
fof(f2027,plain,
! [X0,X1,X2] : inverse(multiply(X0,multiply(X1,inverse(X1)))) = inverse(multiply(X2,multiply(inverse(X2),inverse(inverse(X0))))),
inference(paramodulation,[status(thm)],[f290,f1737]) ).
fof(f4185,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(multiply(inverse(multiply(X0,multiply(X1,inverse(X1)))),multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,multiply(inverse(X4),X2))))))) = multiply(X5,multiply(inverse(X5),inverse(inverse(X0)))),
inference(paramodulation,[status(thm)],[f2027,f1736]) ).
fof(f4186,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,inverse(X1))) = multiply(X2,multiply(inverse(X2),inverse(inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f1736,f4185]) ).
fof(f4187,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(multiply(inverse(multiply(X0,multiply(inverse(X0),X1))),multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,multiply(inverse(X4),X2))))))) = multiply(X5,multiply(inverse(X5),X1)),
inference(paramodulation,[status(thm)],[f1737,f1736]) ).
fof(f4188,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X0),X1)) = multiply(X2,multiply(inverse(X2),X1)),
inference(forward_demodulation,[status(thm)],[f1736,f4187]) ).
fof(f4214,plain,
! [X0,X1,X2] : inverse(multiply(inverse(X0),multiply(inverse(inverse(inverse(multiply(X1,multiply(inverse(X1),X2))))),X2))) = X0,
inference(paramodulation,[status(thm)],[f423,f1736]) ).
fof(f4402,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(inverse(X1),X2))) = multiply(X3,multiply(inverse(X3),multiply(inverse(inverse(X0)),X2))),
inference(paramodulation,[status(thm)],[f4188,f4188]) ).
fof(f7507,plain,
! [X0,X1,X2,X3] : X0 = multiply(multiply(X1,inverse(X1)),multiply(inverse(inverse(inverse(multiply(X2,multiply(inverse(X2),X3))))),multiply(X3,X0))),
inference(paramodulation,[status(thm)],[f4214,f100]) ).
fof(f9533,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(inverse(X1),X2))) = multiply(X0,multiply(X3,multiply(inverse(X3),X2))),
inference(paramodulation,[status(thm)],[f4402,f4402]) ).
fof(f22281,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,multiply(inverse(X0),multiply(inverse(inverse(multiply(X1,multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X4,multiply(inverse(X4),X5)),multiply(X1,X2)))))))),X5))) = multiply(X6,inverse(X6)),
inference(paramodulation,[status(thm)],[f4402,f383]) ).
fof(f22282,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(inverse(X0),multiply(inverse(multiply(X1,multiply(inverse(X1),X2))),X2))) = multiply(X3,inverse(X3)),
inference(forward_demodulation,[status(thm)],[f3,f22281]) ).
fof(f22287,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,multiply(inverse(X0),inverse(inverse(multiply(X1,multiply(X2,multiply(multiply(X3,inverse(X3)),inverse(multiply(multiply(X4,inverse(X4)),multiply(X1,X2)))))))))) = multiply(X5,inverse(X5)),
inference(paramodulation,[status(thm)],[f4186,f383]) ).
fof(f22288,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X0),inverse(multiply(X1,inverse(X1))))) = multiply(X2,inverse(X2)),
inference(forward_demodulation,[status(thm)],[f3,f22287]) ).
fof(f23414,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(X0),inverse(multiply(X1,inverse(X1)))) = multiply(multiply(X2,inverse(X2)),inverse(multiply(inverse(multiply(X3,multiply(X4,inverse(X4)))),multiply(X3,X0)))),
inference(paramodulation,[status(thm)],[f22288,f100]) ).
fof(f23415,plain,
! [X0,X1] : multiply(inverse(X0),inverse(multiply(X1,inverse(X1)))) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f424,f23414]) ).
fof(f23729,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(X1,inverse(X1)))) = inverse(multiply(inverse(X0),multiply(inverse(inverse(inverse(multiply(X2,multiply(inverse(X2),X3))))),X3))),
inference(paramodulation,[status(thm)],[f4214,f23415]) ).
fof(f23730,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X1,inverse(X1)))) = X0,
inference(forward_demodulation,[status(thm)],[f4214,f23729]) ).
fof(f23874,plain,
! [X0,X1,X2] : inverse(multiply(inverse(X0),inverse(inverse(inverse(multiply(X1,multiply(inverse(X1),inverse(multiply(X2,inverse(X2)))))))))) = X0,
inference(paramodulation,[status(thm)],[f23415,f4214]) ).
fof(f23875,plain,
! [X0,X1] : inverse(multiply(inverse(X0),inverse(inverse(inverse(multiply(X1,inverse(X1))))))) = X0,
inference(forward_demodulation,[status(thm)],[f23415,f23874]) ).
fof(f24068,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(X0),multiply(inverse(multiply(X1,inverse(X1))),multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,inverse(X3))))))) = X0,
inference(paramodulation,[status(thm)],[f23730,f1736]) ).
fof(f24069,plain,
! [X0,X1,X2] : inverse(multiply(inverse(X0),multiply(inverse(multiply(X1,inverse(X1))),multiply(X2,inverse(X2))))) = X0,
inference(forward_demodulation,[status(thm)],[f23730,f24068]) ).
fof(f29258,plain,
! [X0,X1,X2] : inverse(multiply(inverse(X0),multiply(X1,multiply(inverse(X1),inverse(inverse(inverse(multiply(X2,inverse(X2))))))))) = X0,
inference(paramodulation,[status(thm)],[f9533,f24069]) ).
fof(f39692,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(X0),multiply(inverse(multiply(X1,multiply(inverse(X1),X2))),X2)) = multiply(multiply(X3,inverse(X3)),inverse(multiply(inverse(multiply(X4,multiply(X5,inverse(X5)))),multiply(X4,X0)))),
inference(paramodulation,[status(thm)],[f22282,f100]) ).
fof(f39693,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(inverse(multiply(X1,multiply(inverse(X1),X2))),X2)) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f424,f39692]) ).
fof(f40131,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(inverse(multiply(X1,multiply(inverse(X1),X2))),X2)) = inverse(multiply(inverse(X0),inverse(inverse(inverse(multiply(X3,inverse(X3))))))),
inference(paramodulation,[status(thm)],[f23875,f39693]) ).
fof(f40132,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(multiply(X1,multiply(inverse(X1),X2))),X2)) = X0,
inference(forward_demodulation,[status(thm)],[f23875,f40131]) ).
fof(f67700,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(X0),inverse(inverse(inverse(multiply(X1,inverse(X1))))))) = multiply(multiply(X2,inverse(X2)),multiply(X0,multiply(X3,inverse(X3)))),
inference(paramodulation,[status(thm)],[f29258,f424]) ).
fof(f67701,plain,
! [X0,X1,X2] : X0 = multiply(multiply(X1,inverse(X1)),multiply(X0,multiply(X2,inverse(X2)))),
inference(forward_demodulation,[status(thm)],[f23875,f67700]) ).
fof(f68133,plain,
! [X0,X1] : inverse(inverse(inverse(multiply(X0,multiply(inverse(X0),X1))))) = inverse(X1),
inference(paramodulation,[status(thm)],[f7507,f67701]) ).
fof(f68923,plain,
! [X0,X1] : inverse(multiply(inverse(X0),multiply(inverse(X1),X1))) = X0,
inference(backward_demodulation,[status(thm)],[f68133,f4214]) ).
fof(f69570,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(paramodulation,[status(thm)],[f68923,f40132]) ).
fof(f69998,plain,
! [X0,X1] : inverse(multiply(inverse(X0),inverse(multiply(X1,inverse(X1))))) = X0,
inference(backward_demodulation,[status(thm)],[f69570,f24069]) ).
fof(f69999,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f23730,f69998]) ).
fof(f70005,plain,
! [X0,X1] : X0 = multiply(multiply(X1,inverse(X1)),X0),
inference(backward_demodulation,[status(thm)],[f69570,f67701]) ).
fof(f70991,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(paramodulation,[status(thm)],[f69999,f69570]) ).
fof(f72671,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(multiply(multiply(X3,inverse(X3)),X0),multiply(multiply(X4,inverse(X4)),X1)))) = X2,
inference(backward_demodulation,[status(thm)],[f70005,f20]) ).
fof(f72672,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,multiply(multiply(X3,inverse(X3)),X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f70005,f72671]) ).
fof(f72673,plain,
! [X0,X1,X2] : inverse(multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,X1))) = X2,
inference(forward_demodulation,[status(thm)],[f70005,f72672]) ).
fof(f72676,plain,
! [X0,X1,X2] : inverse(multiply(X0,multiply(X1,inverse(multiply(X2,multiply(X0,X1)))))) = X2,
inference(backward_demodulation,[status(thm)],[f70005,f3]) ).
fof(f72698,plain,
! [X0,X1] : X0 = multiply(multiply(inverse(X1),X1),X0),
inference(paramodulation,[status(thm)],[f69999,f70005]) ).
fof(f72737,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(paramodulation,[status(thm)],[f4188,f70991]) ).
fof(f72799,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f70991,f72698]) ).
fof(f72878,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(paramodulation,[status(thm)],[f69999,f72737]) ).
fof(f72987,plain,
! [X0,X1,X2] : inverse(multiply(X0,inverse(multiply(X1,multiply(multiply(inverse(X2),X2),X0))))) = X1,
inference(paramodulation,[status(thm)],[f72698,f72676]) ).
fof(f72988,plain,
! [X0,X1] : inverse(multiply(X0,inverse(multiply(X1,X0)))) = X1,
inference(forward_demodulation,[status(thm)],[f72698,f72987]) ).
fof(f75368,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f72988,f69999]) ).
fof(f78658,plain,
! [X0,X1,X2] : inverse(inverse(multiply(X0,multiply(X1,X2)))) = multiply(multiply(X0,X1),X2),
inference(paramodulation,[status(thm)],[f72673,f75368]) ).
fof(f78659,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f69999,f78658]) ).
fof(f82498,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(backward_demodulation,[status(thm)],[f78659,f13]) ).
fof(f82499,plain,
( $false
| spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f82498]) ).
fof(f82500,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f82499]) ).
fof(f82576,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f7,f72799]) ).
fof(f82577,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f82576]) ).
fof(f82578,plain,
( multiply(inverse(b2),multiply(b2,a2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f78659,f10]) ).
fof(f82579,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f72878,f82578]) ).
fof(f82580,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f82579]) ).
fof(f82581,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f82580]) ).
fof(f82582,plain,
$false,
inference(sat_refutation,[status(thm)],[f14,f82500,f82577,f82581]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP062-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 11:26:42 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Drodi V3.5.1
% 95.64/12.35 % Refutation found
% 95.64/12.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 95.64/12.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 96.71/12.52 % Elapsed time: 12.189802 seconds
% 96.71/12.52 % CPU time: 96.601380 seconds
% 96.71/12.52 % Memory used: 1.179 GB
%------------------------------------------------------------------------------