TSTP Solution File: GRP073-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP073-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:19:09 EDT 2024
% Result : Unsatisfiable 184.66s 23.57s
% Output : CNFRefutation 187.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 6
% Syntax : Number of formulae : 136 ( 121 unt; 0 def)
% Number of atoms : 154 ( 132 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 15 ~; 15 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 459 ( 459 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z,U] : divide(inverse(divide(divide(divide(X,Y),Z),divide(U,Z))),divide(Y,X)) = U,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = divide(X,inverse(Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,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(f4,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(divide(divide(X0,X1),X2),divide(X3,X2))),divide(X1,X0)) = X3,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,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)],[f3]) ).
fof(f7,plain,
( spl0_0
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(split_symbol_definition) ).
fof(f9,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(component_clause,[status(thm)],[f7]) ).
fof(f10,plain,
( spl0_1
<=> multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(split_symbol_definition) ).
fof(f12,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| spl0_1 ),
inference(component_clause,[status(thm)],[f10]) ).
fof(f13,plain,
( spl0_2
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(split_symbol_definition) ).
fof(f15,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(component_clause,[status(thm)],[f13]) ).
fof(f16,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f6,f7,f10,f13]) ).
fof(f17,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(multiply(divide(X0,X1),X2),divide(X3,inverse(X2)))),divide(X1,X0)) = X3,
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f18,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(multiply(divide(X0,X1),X2),multiply(X3,X2))),divide(X1,X0)) = X3,
inference(forward_demodulation,[status(thm)],[f5,f17]) ).
fof(f19,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(X0,X1),divide(X2,X1))),divide(divide(X3,X4),inverse(divide(divide(divide(X4,X3),X5),divide(X0,X5))))) = X2,
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(X0,X1),divide(X2,X1))),multiply(divide(X3,X4),divide(divide(divide(X4,X3),X5),divide(X0,X5)))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f19]) ).
fof(f21,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(divide(multiply(X0,X1),X2),divide(X3,X2))),divide(inverse(X1),X0)) = X3,
inference(paramodulation,[status(thm)],[f5,f4]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(divide(X0,X1),divide(X2,X3)),X4)),divide(X1,X0)) = inverse(divide(divide(divide(X3,X2),X5),divide(X4,X5))),
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f25,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(divide(divide(X0,X1),inverse(divide(divide(divide(X1,X0),X2),divide(X3,X2)))),X4),divide(X5,X4))),X3) = X5,
inference(paramodulation,[status(thm)],[f4,f4]) ).
fof(f26,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(multiply(divide(X0,X1),divide(divide(divide(X1,X0),X2),divide(X3,X2))),X4),divide(X5,X4))),X3) = X5,
inference(forward_demodulation,[status(thm)],[f5,f25]) ).
fof(f38,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(divide(divide(X0,X1),inverse(divide(multiply(divide(X1,X0),X2),multiply(X3,X2)))),X4),divide(X5,X4))),X3) = X5,
inference(paramodulation,[status(thm)],[f18,f4]) ).
fof(f39,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(multiply(divide(X0,X1),divide(multiply(divide(X1,X0),X2),multiply(X3,X2))),X4),divide(X5,X4))),X3) = X5,
inference(forward_demodulation,[status(thm)],[f5,f38]) ).
fof(f46,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(divide(multiply(X0,X1),divide(inverse(X2),X3)),X4)),divide(inverse(X1),X0)) = inverse(divide(divide(multiply(X3,X2),X5),divide(X4,X5))),
inference(paramodulation,[status(thm)],[f21,f21]) ).
fof(f103,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(inverse(divide(multiply(divide(multiply(divide(X0,X1),divide(divide(divide(X1,X0),X2),divide(X3,X2))),inverse(divide(divide(X3,X4),divide(X5,X4)))),X6),multiply(X7,X6))),X5) = X7,
inference(paramodulation,[status(thm)],[f20,f18]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : divide(inverse(divide(multiply(multiply(multiply(divide(X0,X1),divide(divide(divide(X1,X0),X2),divide(X3,X2))),divide(divide(X3,X4),divide(X5,X4))),X6),multiply(X7,X6))),X5) = X7,
inference(forward_demodulation,[status(thm)],[f5,f103]) ).
fof(f259,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(divide(divide(X1,X2),X3),divide(divide(X0,divide(X2,X1)),X3))),
inference(paramodulation,[status(thm)],[f4,f22]) ).
fof(f327,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(inverse(divide(divide(divide(X0,X1),divide(X2,X3)),X4)),divide(X1,X0)) = divide(inverse(divide(divide(divide(X5,X6),divide(X2,X3)),X4)),divide(X6,X5)),
inference(paramodulation,[status(thm)],[f22,f22]) ).
fof(f422,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(multiply(multiply(divide(X0,X1),divide(divide(divide(X1,X0),X2),divide(X3,X2))),X4),divide(X5,inverse(X4)))),X3) = X5,
inference(paramodulation,[status(thm)],[f5,f26]) ).
fof(f423,plain,
! [X0,X1,X2,X3,X4,X5] : divide(inverse(divide(multiply(multiply(divide(X0,X1),divide(divide(divide(X1,X0),X2),divide(X3,X2))),X4),multiply(X5,X4))),X3) = X5,
inference(forward_demodulation,[status(thm)],[f5,f422]) ).
fof(f546,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(multiply(divide(X1,X2),X3),divide(divide(X0,divide(X2,X1)),inverse(X3)))),
inference(paramodulation,[status(thm)],[f5,f259]) ).
fof(f547,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(multiply(divide(X1,X2),X3),multiply(divide(X0,divide(X2,X1)),X3))),
inference(forward_demodulation,[status(thm)],[f5,f546]) ).
fof(f608,plain,
! [X0,X1,X2,X3,X4,X5] : divide(X0,multiply(divide(X1,X2),divide(divide(divide(X2,X1),X3),divide(divide(X4,X5),X3)))) = divide(X0,divide(X5,X4)),
inference(paramodulation,[status(thm)],[f259,f20]) ).
fof(f672,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(multiply(divide(inverse(X1),X2),X3),multiply(divide(X0,multiply(X2,X1)),X3))),
inference(paramodulation,[status(thm)],[f5,f547]) ).
fof(f682,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,divide(multiply(divide(X1,X2),X3),multiply(divide(X4,divide(X2,X1)),X3))) = divide(X0,X4),
inference(paramodulation,[status(thm)],[f547,f5]) ).
fof(f839,plain,
! [X0,X1,X2,X3,X4,X5,X6] : inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(multiply(divide(inverse(divide(divide(divide(X3,X4),X5),divide(X0,X5))),divide(X4,X3)),X6),multiply(X2,X6))),
inference(paramodulation,[status(thm)],[f20,f672]) ).
fof(f840,plain,
! [X0,X1,X2,X3] : inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(multiply(X0,X3),multiply(X2,X3))),
inference(forward_demodulation,[status(thm)],[f4,f839]) ).
fof(f976,plain,
! [X0,X1,X2,X3] : inverse(divide(multiply(X0,X1),multiply(X2,X1))) = inverse(divide(multiply(X0,X3),multiply(X2,X3))),
inference(paramodulation,[status(thm)],[f840,f840]) ).
fof(f4264,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(divide(inverse(divide(divide(multiply(X0,X1),divide(inverse(divide(multiply(divide(X2,X3),X4),multiply(X5,X4))),divide(X3,X2))),X6)),divide(inverse(X1),X0)),X5) = X6,
inference(paramodulation,[status(thm)],[f46,f39]) ).
fof(f4265,plain,
! [X0,X1,X2,X3] : divide(divide(inverse(divide(divide(multiply(X0,X1),X2),X3)),divide(inverse(X1),X0)),X2) = X3,
inference(forward_demodulation,[status(thm)],[f18,f4264]) ).
fof(f4299,plain,
! [X0,X1,X2,X3] : multiply(divide(inverse(divide(divide(multiply(X0,X1),inverse(X2)),X3)),divide(inverse(X1),X0)),X2) = X3,
inference(paramodulation,[status(thm)],[f5,f4265]) ).
fof(f4300,plain,
! [X0,X1,X2,X3] : multiply(divide(inverse(divide(multiply(multiply(X0,X1),X2),X3)),divide(inverse(X1),X0)),X2) = X3,
inference(forward_demodulation,[status(thm)],[f5,f4299]) ).
fof(f4311,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(divide(inverse(divide(divide(divide(X0,X1),X2),X3)),divide(inverse(divide(multiply(divide(X4,X5),X6),multiply(divide(X1,divide(X5,X4)),X6))),X0)),X2) = X3,
inference(paramodulation,[status(thm)],[f682,f4265]) ).
fof(f4312,plain,
! [X0,X1,X2,X3] : divide(divide(inverse(divide(divide(divide(X0,X1),X2),X3)),divide(X1,X0)),X2) = X3,
inference(forward_demodulation,[status(thm)],[f547,f4311]) ).
fof(f4477,plain,
! [X0,X1,X2,X3] : multiply(divide(inverse(divide(divide(divide(X0,X1),inverse(X2)),X3)),divide(X1,X0)),X2) = X3,
inference(paramodulation,[status(thm)],[f5,f4312]) ).
fof(f4478,plain,
! [X0,X1,X2,X3] : multiply(divide(inverse(divide(multiply(divide(X0,X1),X2),X3)),divide(X1,X0)),X2) = X3,
inference(forward_demodulation,[status(thm)],[f5,f4477]) ).
fof(f4486,plain,
! [X0,X1,X2,X3] : divide(divide(inverse(multiply(divide(divide(X0,X1),X2),X3)),divide(X1,X0)),X2) = inverse(X3),
inference(paramodulation,[status(thm)],[f5,f4312]) ).
fof(f5163,plain,
! [X0,X1,X2,X3] : multiply(divide(inverse(multiply(multiply(divide(X0,X1),X2),X3)),divide(X1,X0)),X2) = inverse(X3),
inference(paramodulation,[status(thm)],[f5,f4478]) ).
fof(f5407,plain,
! [X0,X1,X2,X3] : multiply(divide(inverse(divide(multiply(multiply(inverse(X0),X1),X2),X3)),multiply(inverse(X1),X0)),X2) = X3,
inference(paramodulation,[status(thm)],[f5,f4300]) ).
fof(f5525,plain,
! [X0,X1,X2,X3,X4] : divide(divide(inverse(multiply(X0,X1)),divide(divide(X2,X3),inverse(divide(divide(divide(X3,X2),X4),X0)))),X4) = inverse(X1),
inference(paramodulation,[status(thm)],[f4312,f4486]) ).
fof(f5526,plain,
! [X0,X1,X2,X3,X4] : divide(divide(inverse(multiply(X0,X1)),multiply(divide(X2,X3),divide(divide(divide(X3,X2),X4),X0))),X4) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f5,f5525]) ).
fof(f5650,plain,
! [X0,X1,X2,X3,X4] : divide(divide(inverse(divide(inverse(X0),X1)),divide(divide(X2,X3),inverse(multiply(divide(divide(X3,X2),X4),X0)))),X4) = X1,
inference(paramodulation,[status(thm)],[f4486,f4312]) ).
fof(f5651,plain,
! [X0,X1,X2,X3,X4] : divide(divide(inverse(divide(inverse(X0),X1)),multiply(divide(X2,X3),multiply(divide(divide(X3,X2),X4),X0))),X4) = X1,
inference(forward_demodulation,[status(thm)],[f5,f5650]) ).
fof(f6126,plain,
! [X0,X1,X2,X3,X4] : X0 = inverse(divide(inverse(X1),multiply(divide(X0,multiply(divide(X2,X3),multiply(multiply(divide(X3,X2),X4),X1))),X4))),
inference(paramodulation,[status(thm)],[f5163,f672]) ).
fof(f53073,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(divide(inverse(divide(multiply(multiply(inverse(X0),X1),X2),divide(X3,X4))),multiply(inverse(X1),X0)),X2) = multiply(divide(X5,X6),divide(divide(divide(X6,X5),X7),divide(divide(X4,X3),X7))),
inference(paramodulation,[status(thm)],[f608,f5407]) ).
fof(f53074,plain,
! [X0,X1,X2,X3,X4] : divide(X0,X1) = multiply(divide(X2,X3),divide(divide(divide(X3,X2),X4),divide(divide(X1,X0),X4))),
inference(forward_demodulation,[status(thm)],[f5407,f53073]) ).
fof(f54012,plain,
! [X0,X1,X2,X3,X4] : divide(X0,X1) = multiply(multiply(X2,X3),divide(divide(divide(inverse(X3),X2),X4),divide(divide(X1,X0),X4))),
inference(paramodulation,[status(thm)],[f5,f53074]) ).
fof(f55625,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] : divide(inverse(divide(divide(X0,X1),multiply(X2,divide(divide(divide(inverse(divide(divide(X3,X4),divide(X5,X4))),multiply(divide(X6,X7),divide(divide(divide(X7,X6),X8),divide(X3,X8)))),X9),divide(divide(X1,X0),X9))))),X5) = X2,
inference(paramodulation,[status(thm)],[f54012,f104]) ).
fof(f55626,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(divide(divide(X0,X1),multiply(X2,divide(divide(X3,X4),divide(divide(X1,X0),X4))))),X3) = X2,
inference(forward_demodulation,[status(thm)],[f20,f55625]) ).
fof(f63393,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(divide(X0,X1),divide(X0,X1))),divide(X2,X3)) = divide(X3,X2),
inference(paramodulation,[status(thm)],[f53074,f55626]) ).
fof(f64410,plain,
! [X0,X1,X2,X3,X4,X5,X6] : divide(inverse(divide(X0,divide(divide(inverse(divide(inverse(X1),X0)),multiply(divide(X2,X3),multiply(divide(divide(X3,X2),X4),X1))),X4))),divide(X5,X6)) = divide(X6,X5),
inference(paramodulation,[status(thm)],[f5651,f63393]) ).
fof(f64411,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,X0)),divide(X1,X2)) = divide(X2,X1),
inference(forward_demodulation,[status(thm)],[f5651,f64410]) ).
fof(f65695,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(X0,X0)),divide(X1,X2)) = divide(divide(X2,X1),inverse(divide(X3,X3))),
inference(paramodulation,[status(thm)],[f64411,f64411]) ).
fof(f65696,plain,
! [X0,X1,X2] : divide(X0,X1) = divide(divide(X0,X1),inverse(divide(X2,X2))),
inference(forward_demodulation,[status(thm)],[f64411,f65695]) ).
fof(f65697,plain,
! [X0,X1,X2] : divide(X0,X1) = multiply(divide(X0,X1),divide(X2,X2)),
inference(forward_demodulation,[status(thm)],[f5,f65696]) ).
fof(f65698,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,X0)),multiply(X1,X2)) = divide(inverse(X2),X1),
inference(paramodulation,[status(thm)],[f5,f64411]) ).
fof(f66340,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(multiply(divide(X0,X1),divide(X2,X2)),X3)),divide(X1,X0)) = X3,
inference(paramodulation,[status(thm)],[f4478,f65697]) ).
fof(f66341,plain,
! [X0,X1,X2] : divide(inverse(divide(divide(X0,X1),X2)),divide(X1,X0)) = X2,
inference(forward_demodulation,[status(thm)],[f65697,f66340]) ).
fof(f66363,plain,
! [X0,X1,X2,X3,X4,X5] : divide(divide(inverse(divide(inverse(X0),X1)),multiply(divide(X2,X3),multiply(divide(divide(X3,X2),X4),X0))),X4) = multiply(X1,divide(X5,X5)),
inference(paramodulation,[status(thm)],[f5651,f65697]) ).
fof(f66364,plain,
! [X0,X1] : X0 = multiply(X0,divide(X1,X1)),
inference(forward_demodulation,[status(thm)],[f5651,f66363]) ).
fof(f66552,plain,
! [X0,X1,X2,X3] : X0 = inverse(divide(divide(inverse(X1),X2),multiply(divide(X0,multiply(X2,X1)),divide(X3,X3)))),
inference(paramodulation,[status(thm)],[f65697,f672]) ).
fof(f66553,plain,
! [X0,X1,X2] : X0 = inverse(divide(divide(inverse(X1),X2),divide(X0,multiply(X2,X1)))),
inference(forward_demodulation,[status(thm)],[f65697,f66552]) ).
fof(f66867,plain,
! [X0,X1,X2,X3] : divide(inverse(divide(multiply(multiply(X0,X1),divide(X2,X2)),X3)),divide(inverse(X1),X0)) = X3,
inference(paramodulation,[status(thm)],[f4300,f66364]) ).
fof(f66868,plain,
! [X0,X1,X2] : divide(inverse(divide(multiply(X0,X1),X2)),divide(inverse(X1),X0)) = X2,
inference(forward_demodulation,[status(thm)],[f66364,f66867]) ).
fof(f66885,plain,
! [X0,X1] : X0 = multiply(X0,multiply(inverse(X1),X1)),
inference(paramodulation,[status(thm)],[f5,f66364]) ).
fof(f67285,plain,
! [X0,X1,X2,X3] : inverse(divide(multiply(X0,X1),multiply(X2,X1))) = inverse(divide(multiply(X0,divide(X3,X3)),X2)),
inference(paramodulation,[status(thm)],[f66364,f976]) ).
fof(f67286,plain,
! [X0,X1,X2] : inverse(divide(multiply(X0,X1),multiply(X2,X1))) = inverse(divide(X0,X2)),
inference(forward_demodulation,[status(thm)],[f66364,f67285]) ).
fof(f67307,plain,
! [X0,X1,X2,X3] : inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(multiply(X0,divide(X3,X3)),X2)),
inference(paramodulation,[status(thm)],[f66364,f840]) ).
fof(f67308,plain,
! [X0,X1,X2] : inverse(divide(divide(X0,X1),divide(X2,X1))) = inverse(divide(X0,X2)),
inference(forward_demodulation,[status(thm)],[f66364,f67307]) ).
fof(f178370,plain,
! [X0,X1,X2,X3,X4] : inverse(divide(X0,X0)) = inverse(divide(inverse(X1),multiply(divide(inverse(multiply(multiply(divide(X2,X3),X4),X1)),divide(X3,X2)),X4))),
inference(paramodulation,[status(thm)],[f65698,f6126]) ).
fof(f178371,plain,
! [X0,X1] : inverse(divide(X0,X0)) = inverse(divide(inverse(X1),inverse(X1))),
inference(forward_demodulation,[status(thm)],[f5163,f178370]) ).
fof(f178372,plain,
! [X0,X1] : inverse(divide(X0,X0)) = inverse(multiply(inverse(X1),X1)),
inference(forward_demodulation,[status(thm)],[f5,f178371]) ).
fof(f185209,plain,
! [X0,X1] : inverse(divide(X0,X0)) = inverse(inverse(divide(X1,X1))),
inference(paramodulation,[status(thm)],[f66364,f178372]) ).
fof(f186073,plain,
! [X0,X1] : inverse(inverse(divide(X0,X0))) = inverse(inverse(divide(X1,X1))),
inference(paramodulation,[status(thm)],[f185209,f185209]) ).
fof(f186074,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X0)) = inverse(inverse(divide(X1,X1))),
inference(paramodulation,[status(thm)],[f178372,f185209]) ).
fof(f220487,plain,
! [X0,X1,X2,X3,X4] : divide(inverse(divide(multiply(divide(X0,X1),divide(divide(divide(X1,X0),X2),divide(X3,X2))),X4)),X3) = X4,
inference(backward_demodulation,[status(thm)],[f67308,f26]) ).
fof(f220610,plain,
! [X0,X1,X2,X3] : inverse(divide(divide(inverse(X0),X1),divide(X2,multiply(X1,X0)))) = inverse(divide(inverse(divide(X3,X3)),X2)),
inference(paramodulation,[status(thm)],[f65698,f67308]) ).
fof(f220611,plain,
! [X0,X1] : X0 = inverse(divide(inverse(divide(X1,X1)),X0)),
inference(forward_demodulation,[status(thm)],[f66553,f220610]) ).
fof(f220834,plain,
! [X0,X1] : divide(inverse(X0),X1) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f66868,f220611]) ).
fof(f220836,plain,
! [X0,X1,X2,X3,X4,X5] : divide(X0,X1) = inverse(divide(inverse(divide(divide(divide(X2,X3),divide(X4,X5)),divide(divide(X1,X0),divide(X4,X5)))),divide(X3,X2))),
inference(paramodulation,[status(thm)],[f327,f220611]) ).
fof(f220837,plain,
! [X0,X1,X2,X3] : divide(X0,X1) = inverse(divide(inverse(divide(divide(X2,X3),divide(X1,X0))),divide(X3,X2))),
inference(forward_demodulation,[status(thm)],[f67308,f220836]) ).
fof(f220838,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
inference(forward_demodulation,[status(thm)],[f66341,f220837]) ).
fof(f221028,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),multiply(X2,X1)) = inverse(divide(X2,X0)),
inference(backward_demodulation,[status(thm)],[f220838,f67286]) ).
fof(f221029,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),multiply(X2,X1)) = divide(X0,X2),
inference(forward_demodulation,[status(thm)],[f220838,f221028]) ).
fof(f221063,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X0)) = inverse(divide(X1,X1)),
inference(backward_demodulation,[status(thm)],[f220838,f186074]) ).
fof(f221064,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X0)) = divide(X1,X1),
inference(forward_demodulation,[status(thm)],[f220838,f221063]) ).
fof(f221065,plain,
! [X0,X1] : inverse(inverse(divide(X0,X0))) = inverse(divide(X1,X1)),
inference(backward_demodulation,[status(thm)],[f220838,f186073]) ).
fof(f221066,plain,
! [X0,X1] : inverse(divide(X0,X0)) = inverse(divide(X1,X1)),
inference(forward_demodulation,[status(thm)],[f220838,f221065]) ).
fof(f221067,plain,
! [X0,X1] : divide(X0,X0) = inverse(divide(X1,X1)),
inference(forward_demodulation,[status(thm)],[f220838,f221066]) ).
fof(f221068,plain,
! [X0,X1] : divide(X0,X0) = divide(X1,X1),
inference(forward_demodulation,[status(thm)],[f220838,f221067]) ).
fof(f221139,plain,
! [X0,X1] : multiply(inverse(X0),X0) = divide(X1,X1),
inference(paramodulation,[status(thm)],[f5,f221068]) ).
fof(f221446,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f5,f221139]) ).
fof(f221678,plain,
! [X0,X1,X2,X3,X4] : divide(divide(X0,multiply(divide(X1,X2),divide(divide(divide(X2,X1),X3),divide(X4,X3)))),X4) = X0,
inference(forward_demodulation,[status(thm)],[f220838,f220487]) ).
fof(f221681,plain,
! [X0,X1] : inverse(X0) = inverse(multiply(divide(X1,X1),X0)),
inference(paramodulation,[status(thm)],[f5526,f221678]) ).
fof(f222662,plain,
! [X0,X1,X2] : divide(divide(X0,X0),X1) = inverse(multiply(X1,multiply(inverse(X2),X2))),
inference(paramodulation,[status(thm)],[f221064,f220834]) ).
fof(f222663,plain,
! [X0,X1] : divide(divide(X0,X0),X1) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f66885,f222662]) ).
fof(f222698,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X1),X1)) = divide(X0,divide(X2,X2)),
inference(paramodulation,[status(thm)],[f221064,f5]) ).
fof(f222699,plain,
! [X0,X1] : X0 = divide(X0,divide(X1,X1)),
inference(forward_demodulation,[status(thm)],[f66885,f222698]) ).
fof(f223127,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f222663,f220838]) ).
fof(f223128,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f222699,f223127]) ).
fof(f223200,plain,
! [X0,X1] : multiply(X0,inverse(X1)) = divide(X0,X1),
inference(paramodulation,[status(thm)],[f223128,f5]) ).
fof(f224524,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(multiply(X0,divide(multiply(multiply(divide(X1,X2),divide(divide(divide(X2,X1),X3),divide(X0,X3))),X4),multiply(X5,X4)))) = X5,
inference(forward_demodulation,[status(thm)],[f220834,f423]) ).
fof(f225686,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f221681,f223128]) ).
fof(f225687,plain,
! [X0,X1] : multiply(divide(X0,X0),X1) = X1,
inference(forward_demodulation,[status(thm)],[f223128,f225686]) ).
fof(f225796,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(divide(multiply(multiply(divide(X0,X1),divide(divide(divide(X1,X0),X2),divide(divide(X3,X3),X2))),X4),multiply(X5,X4))) = X5,
inference(paramodulation,[status(thm)],[f225687,f224524]) ).
fof(f225797,plain,
! [X0,X1,X2,X3,X4,X5] : divide(multiply(X0,X1),multiply(multiply(divide(X2,X3),divide(divide(divide(X3,X2),X4),divide(divide(X5,X5),X4))),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f220838,f225796]) ).
fof(f225798,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),multiply(divide(X2,X2),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f53074,f225797]) ).
fof(f225799,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f225687,f225798]) ).
fof(f225873,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(paramodulation,[status(thm)],[f5,f225799]) ).
fof(f225874,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f223200,f225873]) ).
fof(f225955,plain,
! [X0,X1] : divide(X0,multiply(X1,X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f225799,f220838]) ).
fof(f225992,plain,
! [X0,X1] : multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
inference(paramodulation,[status(thm)],[f220834,f225874]) ).
fof(f226974,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(paramodulation,[status(thm)],[f225955,f225874]) ).
fof(f234073,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),inverse(X2)) = divide(X0,inverse(multiply(X1,X2))),
inference(paramodulation,[status(thm)],[f225992,f221029]) ).
fof(f234074,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = divide(X0,inverse(multiply(X1,X2))),
inference(forward_demodulation,[status(thm)],[f5,f234073]) ).
fof(f234075,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f5,f234074]) ).
fof(f249646,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(backward_demodulation,[status(thm)],[f234075,f15]) ).
fof(f249647,plain,
( $false
| spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f249646]) ).
fof(f249648,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f249647]) ).
fof(f249699,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f9,f221446]) ).
fof(f249700,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f249699]) ).
fof(f249701,plain,
( multiply(inverse(b2),multiply(b2,a2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f234075,f12]) ).
fof(f249702,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f226974,f249701]) ).
fof(f249703,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f249702]) ).
fof(f249704,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f249703]) ).
fof(f249705,plain,
$false,
inference(sat_refutation,[status(thm)],[f16,f249648,f249700,f249704]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP073-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.30 % Computer : n028.cluster.edu
% 0.08/0.30 % Model : x86_64 x86_64
% 0.08/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30 % Memory : 8042.1875MB
% 0.08/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30 % CPULimit : 300
% 0.08/0.30 % WCLimit : 300
% 0.08/0.30 % DateTime : Tue Apr 30 02:01:44 EDT 2024
% 0.08/0.30 % CPUTime :
% 0.08/0.31 % Drodi V3.6.0
% 184.66/23.57 % Refutation found
% 184.66/23.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 184.66/23.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 187.07/23.95 % Elapsed time: 23.610313 seconds
% 187.07/23.95 % CPU time: 186.769809 seconds
% 187.07/23.95 % Total memory used: 2.672 GB
% 187.07/23.95 % Net memory used: 2.661 GB
%------------------------------------------------------------------------------