TSTP Solution File: GRP050-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP050-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 12:09:50 EDT 2023
% Result : Unsatisfiable 8.47s 1.53s
% Output : CNFRefutation 9.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 5
% Syntax : Number of formulae : 61 ( 46 unt; 0 def)
% Number of atoms : 79 ( 57 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 15 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 14 ( 2 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 : 126 (; 126 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Z,Y,X] : multiply(Z,inverse(multiply(inverse(multiply(inverse(multiply(Z,Y)),X)),multiply(inverse(Y),multiply(inverse(Y),Y))))) = X,
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] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1))))) = X2,
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] : multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(inverse(X2),X2))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),X1)),multiply(inverse(X3),multiply(inverse(X3),X3)))),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f17,plain,
! [X0,X1,X2,X3] : X0 = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X1,X2)),X0))),multiply(inverse(X3),multiply(inverse(X3),X3)))),
inference(paramodulation,[status(thm)],[f3,f15]) ).
fof(f19,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X3),multiply(inverse(X3),X3)))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X4)),X5)),multiply(inverse(multiply(inverse(multiply(X1,X3)),X4)),X2))),multiply(inverse(X5),multiply(inverse(X5),X5)))),
inference(paramodulation,[status(thm)],[f15,f15]) ).
fof(f40,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),multiply(inverse(X1),multiply(inverse(X1),X1)))))) = X2,
inference(paramodulation,[status(thm)],[f15,f3]) ).
fof(f65,plain,
! [X0,X1,X2,X3,X4,X5] : X0 = inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,X4)),X5)),multiply(inverse(multiply(X3,X4)),X1))),multiply(inverse(X5),multiply(inverse(X5),X5)))),X0))),multiply(inverse(X2),multiply(inverse(X2),X2)))),
inference(paramodulation,[status(thm)],[f17,f17]) ).
fof(f66,plain,
! [X0,X1,X2] : X0 = inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),multiply(inverse(X2),multiply(inverse(X2),X2)))),
inference(forward_demodulation,[status(thm)],[f17,f65]) ).
fof(f138,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(paramodulation,[status(thm)],[f66,f40]) ).
fof(f328,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),X3)) = multiply(inverse(multiply(X4,multiply(inverse(X2),multiply(inverse(X2),X2)))),multiply(X4,X3)),
inference(paramodulation,[status(thm)],[f66,f138]) ).
fof(f376,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,multiply(inverse(X1),X1)))))) = multiply(inverse(X1),X3),
inference(paramodulation,[status(thm)],[f138,f40]) ).
fof(f1921,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3))))),multiply(X0,inverse(multiply(inverse(multiply(X4,multiply(inverse(X2),multiply(inverse(X2),X2)))),multiply(X4,multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3)))),multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(X3))))))))) = X3,
inference(paramodulation,[status(thm)],[f328,f40]) ).
fof(f1922,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(X2)))),multiply(inverse(X1),multiply(inverse(X1),X1))) = X2,
inference(forward_demodulation,[status(thm)],[f376,f1921]) ).
fof(f2132,plain,
! [X0,X1,X2] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X1,multiply(inverse(X2),multiply(inverse(X2),X2)))),multiply(X1,multiply(inverse(X2),multiply(inverse(X2),X2)))),
inference(paramodulation,[status(thm)],[f1922,f328]) ).
fof(f2237,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f2132,f2132]) ).
fof(f2597,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),multiply(inverse(X1),multiply(inverse(X1),X1)))))) = inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X2),multiply(inverse(X2),X2)))),
inference(paramodulation,[status(thm)],[f2237,f19]) ).
fof(f2598,plain,
! [X0,X1] : X0 = inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X0),multiply(inverse(X0),X0)))),
inference(forward_demodulation,[status(thm)],[f40,f2597]) ).
fof(f4943,plain,
! [X0,X1] : X0 = inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,multiply(inverse(X0),X0)))),
inference(paramodulation,[status(thm)],[f138,f2598]) ).
fof(f5411,plain,
! [X0,X1,X2] : X0 = inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,multiply(inverse(X2),X2)))),
inference(paramodulation,[status(thm)],[f2237,f4943]) ).
fof(f7039,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(X1),X2),
inference(backward_demodulation,[status(thm)],[f5411,f376]) ).
fof(f7049,plain,
! [X0,X1] : multiply(inverse(X0),X0) = inverse(multiply(inverse(X1),X1)),
inference(paramodulation,[status(thm)],[f2237,f5411]) ).
fof(f7542,plain,
! [X0,X1] : X0 = inverse(multiply(inverse(X0),multiply(inverse(X1),X1))),
inference(backward_demodulation,[status(thm)],[f7039,f5411]) ).
fof(f7546,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X0),inverse(X1))),multiply(inverse(X0),multiply(inverse(X0),X0))) = X1,
inference(backward_demodulation,[status(thm)],[f7039,f1922]) ).
fof(f7547,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),multiply(inverse(X1),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f7039,f7546]) ).
fof(f8183,plain,
! [X0,X1,X2] : multiply(multiply(inverse(X0),X0),multiply(inverse(X1),X2)) = multiply(inverse(X1),X2),
inference(paramodulation,[status(thm)],[f7049,f7039]) ).
fof(f8355,plain,
! [X0,X1,X2] : multiply(multiply(inverse(X0),X0),X1) = multiply(inverse(inverse(X1)),multiply(inverse(X2),X2)),
inference(paramodulation,[status(thm)],[f7547,f8183]) ).
fof(f8356,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(forward_demodulation,[status(thm)],[f7547,f8355]) ).
fof(f8434,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
inference(paramodulation,[status(thm)],[f7049,f8356]) ).
fof(f9992,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X0),X1)) = multiply(inverse(multiply(inverse(X2),X2)),X1),
inference(paramodulation,[status(thm)],[f7542,f7039]) ).
fof(f9993,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f8434,f9992]) ).
fof(f10027,plain,
! [X0,X1,X2] : multiply(inverse(X0),inverse(multiply(inverse(multiply(X0,X1)),multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))))) = X1,
inference(paramodulation,[status(thm)],[f7542,f3]) ).
fof(f10028,plain,
! [X0,X1,X2] : multiply(inverse(X0),inverse(multiply(inverse(multiply(X0,X1)),multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2))))) = X1,
inference(forward_demodulation,[status(thm)],[f8434,f10027]) ).
fof(f10029,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f7542,f10028]) ).
fof(f10262,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(paramodulation,[status(thm)],[f2237,f9993]) ).
fof(f10556,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(X1)))) = X2,
inference(backward_demodulation,[status(thm)],[f10262,f3]) ).
fof(f10576,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f10262,f9993]) ).
fof(f10607,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),multiply(inverse(X2),X2)) = multiply(inverse(X1),inverse(X0)),
inference(paramodulation,[status(thm)],[f10576,f7039]) ).
fof(f10608,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(forward_demodulation,[status(thm)],[f10262,f10607]) ).
fof(f10761,plain,
! [X0,X1] : multiply(X0,inverse(inverse(X1))) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f8434,f10556]) ).
fof(f11117,plain,
! [X0,X1,X2] : multiply(X0,inverse(inverse(multiply(X1,multiply(inverse(multiply(X0,X1)),X2))))) = X2,
inference(backward_demodulation,[status(thm)],[f10608,f10556]) ).
fof(f11118,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(forward_demodulation,[status(thm)],[f10761,f11117]) ).
fof(f11344,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(paramodulation,[status(thm)],[f10029,f11118]) ).
fof(f11964,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(backward_demodulation,[status(thm)],[f11344,f13]) ).
fof(f11965,plain,
( $false
| spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f11964]) ).
fof(f11966,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f11965]) ).
fof(f12061,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f7,f2237]) ).
fof(f12062,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f12061]) ).
fof(f12063,plain,
( multiply(inverse(b2),multiply(b2,a2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f11344,f10]) ).
fof(f12064,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f10029,f12063]) ).
fof(f12065,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f12064]) ).
fof(f12066,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f12065]) ).
fof(f12067,plain,
$false,
inference(sat_refutation,[status(thm)],[f14,f11966,f12062,f12066]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP050-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32 % Computer : n023.cluster.edu
% 0.09/0.32 % Model : x86_64 x86_64
% 0.09/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32 % Memory : 8042.1875MB
% 0.09/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32 % CPULimit : 300
% 0.09/0.32 % WCLimit : 300
% 0.09/0.32 % DateTime : Tue May 30 11:49:23 EDT 2023
% 0.09/0.32 % CPUTime :
% 0.09/0.33 % Drodi V3.5.1
% 8.47/1.53 % Refutation found
% 8.47/1.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.47/1.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.42/1.61 % Elapsed time: 1.275964 seconds
% 9.42/1.61 % CPU time: 9.466982 seconds
% 9.42/1.61 % Memory used: 269.609 MB
%------------------------------------------------------------------------------