TSTP Solution File: GRP060-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP060-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 20:19:07 EDT 2024
% Result : Unsatisfiable 98.06s 12.70s
% Output : CNFRefutation 99.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 5
% Syntax : Number of formulae : 93 ( 78 unt; 0 def)
% Number of atoms : 111 ( 89 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 : 18 ( 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 : 277 ( 277 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z,U] : multiply(X,inverse(multiply(Y,multiply(Z,multiply(multiply(inverse(Z),inverse(multiply(U,Y))),X))))) = 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] : multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X0))))) = 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(f16,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),inverse(X4))),multiply(X4,multiply(X2,X0))))) = X3,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f17,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X4)))),multiply(X5,multiply(multiply(inverse(X5),inverse(X3)),X0))))) = X4,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f21,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X3))),multiply(X3,multiply(X4,X0))))) = multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X2,X4))),inverse(X1))),
inference(paramodulation,[status(thm)],[f3,f16]) ).
fof(f22,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(X0,inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(X2)),inverse(X3))),multiply(X3,multiply(X4,X0))))) = inverse(multiply(multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X6,X2))),inverse(X7))),multiply(X7,multiply(X6,X4)))),
inference(paramodulation,[status(thm)],[f16,f16]) ).
fof(f25,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X0))),X3)))),inverse(multiply(multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X3,X5))),inverse(X6))),multiply(X6,X2)))) = X5,
inference(paramodulation,[status(thm)],[f3,f16]) ).
fof(f29,plain,
! [X0,X1,X2,X3] : X0 = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(multiply(X3,X0))),X3))),inverse(X2))),
inference(paramodulation,[status(thm)],[f16,f21]) ).
fof(f63,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(X0),inverse(multiply(X1,multiply(X2,inverse(multiply(multiply(X0,multiply(X3,inverse(X4))),multiply(X4,multiply(X1,X2)))))))) = X3,
inference(paramodulation,[status(thm)],[f21,f3]) ).
fof(f130,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X0,multiply(X3,inverse(X1)))))),X2))) = X3,
inference(paramodulation,[status(thm)],[f3,f63]) ).
fof(f179,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(X1,multiply(X2,multiply(X3,X0))))) = multiply(inverse(X4),inverse(multiply(X1,multiply(X2,multiply(X3,inverse(X4)))))),
inference(paramodulation,[status(thm)],[f130,f3]) ).
fof(f257,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X0,multiply(X3,X1))))),X2))) = X3,
inference(paramodulation,[status(thm)],[f179,f130]) ).
fof(f303,plain,
! [X0,X1,X2,X3,X4] : X0 = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X3,inverse(multiply(X0,multiply(X4,multiply(X2,X3)))))))),inverse(X4))),
inference(paramodulation,[status(thm)],[f257,f29]) ).
fof(f1328,plain,
! [X0,X1,X2,X3,X4] : X0 = inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X3,X0)))),inverse(X4))),multiply(X4,multiply(X2,X3)))),
inference(paramodulation,[status(thm)],[f16,f22]) ).
fof(f1536,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),inverse(X4))),multiply(X4,multiply(X0,X1)))))) = X3,
inference(paramodulation,[status(thm)],[f22,f16]) ).
fof(f1595,plain,
! [X0,X1,X2,X3] : X0 = inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(X3,X0),X1))),X3)))),
inference(paramodulation,[status(thm)],[f29,f1328]) ).
fof(f1734,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : X0 = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,multiply(X4,X5)))),inverse(X6))),multiply(X6,multiply(X3,X4)))),inverse(multiply(X7,X0))),X7))),X5)),
inference(paramodulation,[status(thm)],[f1328,f29]) ).
fof(f1735,plain,
! [X0,X1,X2,X3] : X0 = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,inverse(multiply(X3,X0))),X3))),X2)),
inference(forward_demodulation,[status(thm)],[f1328,f1734]) ).
fof(f1745,plain,
! [X0,X1,X2,X3] : X0 = inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),X0),X1))))),X2)),
inference(paramodulation,[status(thm)],[f303,f1595]) ).
fof(f2306,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(X0,inverse(multiply(X1,X2))),X1)) = inverse(multiply(multiply(X0,inverse(multiply(X3,X2))),X3)),
inference(paramodulation,[status(thm)],[f1735,f1745]) ).
fof(f2353,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(inverse(X0),X1),X2)) = multiply(X3,multiply(multiply(inverse(X3),X1),X2)),
inference(paramodulation,[status(thm)],[f1745,f1735]) ).
fof(f3519,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(X0,multiply(X1,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(X3,inverse(multiply(X4,X5))),X4))),inverse(X6))),multiply(X6,multiply(X0,X1)))))) = multiply(multiply(X3,inverse(multiply(X7,X5))),X7),
inference(paramodulation,[status(thm)],[f2306,f1536]) ).
fof(f3520,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,inverse(multiply(X1,X2))),X1) = multiply(multiply(X0,inverse(multiply(X3,X2))),X3),
inference(forward_demodulation,[status(thm)],[f1536,f3519]) ).
fof(f3676,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X0))))) = multiply(multiply(X4,inverse(multiply(X5,multiply(X6,multiply(multiply(inverse(X6),inverse(X3)),X4))))),X5),
inference(paramodulation,[status(thm)],[f17,f3520]) ).
fof(f3677,plain,
! [X0,X1,X2,X3] : X0 = multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(X0)),X1))))),X2),
inference(forward_demodulation,[status(thm)],[f3,f3676]) ).
fof(f3790,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X3))))) = X0,
inference(paramodulation,[status(thm)],[f3520,f3]) ).
fof(f4303,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X3))))),X4)) = multiply(X5,multiply(inverse(X5),X4)),
inference(paramodulation,[status(thm)],[f3790,f2353]) ).
fof(f4304,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X0),X1)) = multiply(X2,multiply(inverse(X2),X1)),
inference(forward_demodulation,[status(thm)],[f3790,f4303]) ).
fof(f4362,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(multiply(X0,inverse(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,X2))),X4))))))),X1) = multiply(multiply(X0,inverse(X5)),X5),
inference(paramodulation,[status(thm)],[f3790,f3520]) ).
fof(f4363,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X1)),X1) = multiply(multiply(X0,inverse(X2)),X2),
inference(forward_demodulation,[status(thm)],[f3790,f4362]) ).
fof(f5064,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(X0)) = multiply(X1,multiply(inverse(X1),inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,X2))),X4)))))),
inference(paramodulation,[status(thm)],[f3790,f4304]) ).
fof(f5065,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f3790,f5064]) ).
fof(f5345,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X0))),X2))) = multiply(X3,inverse(X3)),
inference(paramodulation,[status(thm)],[f3790,f5065]) ).
fof(f5371,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X0),inverse(inverse(X1)))) = multiply(X1,multiply(X2,inverse(X2))),
inference(paramodulation,[status(thm)],[f5065,f4304]) ).
fof(f6007,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X0)),X1) = multiply(multiply(X1,inverse(X2)),X2),
inference(paramodulation,[status(thm)],[f5065,f4363]) ).
fof(f20690,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(multiply(inverse(X2),inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X5,X6))),inverse(X2)))))),X3),X0))),X5)))),inverse(multiply(X7,inverse(X7)))) = X6,
inference(paramodulation,[status(thm)],[f5345,f25]) ).
fof(f20691,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,X3),X0))),X2)))),inverse(multiply(X4,inverse(X4)))) = X3,
inference(forward_demodulation,[status(thm)],[f3677,f20690]) ).
fof(f20692,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X1,inverse(X1)))) = X0,
inference(forward_demodulation,[status(thm)],[f1595,f20691]) ).
fof(f20964,plain,
! [X0,X1,X2,X3,X4,X5] : X0 = inverse(multiply(inverse(multiply(X1,X0)),multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X5,X3))),X5))))),X1)))),
inference(paramodulation,[status(thm)],[f5345,f1595]) ).
fof(f20965,plain,
! [X0,X1,X2] : X0 = inverse(multiply(inverse(multiply(X1,X0)),multiply(X2,multiply(inverse(X2),X1)))),
inference(forward_demodulation,[status(thm)],[f3790,f20964]) ).
fof(f21106,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(multiply(X0,inverse(multiply(X1,inverse(X2)))),X1) = multiply(multiply(X0,inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X5,X3))),X5))))),X2),
inference(paramodulation,[status(thm)],[f5345,f3520]) ).
fof(f21107,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(multiply(X1,inverse(X2)))),X1) = multiply(X0,X2),
inference(forward_demodulation,[status(thm)],[f3790,f21106]) ).
fof(f21129,plain,
! [X0,X1,X2,X3,X4,X5] : inverse(X0) = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X5,X3))),X5))))),X0))),X2)),
inference(paramodulation,[status(thm)],[f5345,f1735]) ).
fof(f21130,plain,
! [X0,X1,X2] : inverse(X0) = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X0))),X2)),
inference(forward_demodulation,[status(thm)],[f3790,f21129]) ).
fof(f21425,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X0)),X1) = multiply(X1,multiply(X2,inverse(X2))),
inference(paramodulation,[status(thm)],[f20692,f6007]) ).
fof(f30483,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(X1,multiply(inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f21107,f21130]) ).
fof(f30939,plain,
! [X0,X1] : inverse(inverse(inverse(inverse(X0)))) = multiply(X0,multiply(X1,inverse(X1))),
inference(backward_demodulation,[status(thm)],[f30483,f5371]) ).
fof(f30941,plain,
! [X0,X1] : X0 = inverse(multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
inference(backward_demodulation,[status(thm)],[f30483,f20965]) ).
fof(f30953,plain,
! [X0,X1] : inverse(inverse(inverse(inverse(X0)))) = multiply(multiply(X1,inverse(X1)),X0),
inference(paramodulation,[status(thm)],[f21425,f30483]) ).
fof(f31005,plain,
! [X0,X1] : inverse(inverse(inverse(multiply(X0,inverse(X0))))) = multiply(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f20692,f30483]) ).
fof(f33822,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),inverse(multiply(X2,X1))) = multiply(X0,inverse(X2)),
inference(paramodulation,[status(thm)],[f30941,f21107]) ).
fof(f39017,plain,
! [X0,X1,X2,X3] : X0 = multiply(multiply(inverse(multiply(X1,inverse(X0))),inverse(multiply(X2,multiply(X3,multiply(inverse(X3),inverse(X1)))))),X2),
inference(paramodulation,[status(thm)],[f33822,f3677]) ).
fof(f39018,plain,
! [X0,X1,X2] : X0 = multiply(multiply(inverse(multiply(X1,inverse(X0))),inverse(multiply(X2,inverse(inverse(inverse(X1)))))),X2),
inference(forward_demodulation,[status(thm)],[f30483,f39017]) ).
fof(f39019,plain,
! [X0,X1] : X0 = multiply(inverse(multiply(X1,inverse(X0))),inverse(inverse(X1))),
inference(forward_demodulation,[status(thm)],[f21107,f39018]) ).
fof(f39204,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(inverse(inverse(multiply(X0,X1))))),
inference(paramodulation,[status(thm)],[f30941,f39019]) ).
fof(f39477,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(X0),multiply(X1,inverse(X1))),
inference(paramodulation,[status(thm)],[f31005,f39204]) ).
fof(f39478,plain,
! [X0] : inverse(X0) = inverse(inverse(inverse(inverse(inverse(X0))))),
inference(forward_demodulation,[status(thm)],[f30939,f39477]) ).
fof(f39791,plain,
! [X0,X1] : inverse(multiply(inverse(multiply(X0,X1)),inverse(inverse(X0)))) = inverse(inverse(inverse(inverse(X1)))),
inference(paramodulation,[status(thm)],[f30941,f39478]) ).
fof(f39792,plain,
! [X0] : X0 = inverse(inverse(inverse(inverse(X0)))),
inference(forward_demodulation,[status(thm)],[f30941,f39791]) ).
fof(f39997,plain,
! [X0,X1] : X0 = multiply(multiply(X1,inverse(X1)),X0),
inference(backward_demodulation,[status(thm)],[f39792,f30953]) ).
fof(f39999,plain,
! [X0,X1] : X0 = multiply(X0,multiply(X1,inverse(X1))),
inference(backward_demodulation,[status(thm)],[f39792,f30939]) ).
fof(f43567,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(X1,X0))) = multiply(multiply(X2,inverse(X2)),inverse(X1)),
inference(paramodulation,[status(thm)],[f39997,f33822]) ).
fof(f43568,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X1,X0))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f39997,f43567]) ).
fof(f45130,plain,
! [X0,X1,X2,X3] : X0 = inverse(multiply(X1,multiply(X2,multiply(inverse(X2),inverse(multiply(multiply(multiply(X3,inverse(X3)),X0),X1)))))),
inference(paramodulation,[status(thm)],[f39999,f1595]) ).
fof(f45131,plain,
! [X0,X1,X2] : X0 = inverse(multiply(X1,inverse(inverse(inverse(multiply(multiply(multiply(X2,inverse(X2)),X0),X1)))))),
inference(forward_demodulation,[status(thm)],[f30483,f45130]) ).
fof(f45132,plain,
! [X0,X1] : X0 = inverse(inverse(multiply(multiply(X1,inverse(X1)),X0))),
inference(forward_demodulation,[status(thm)],[f39204,f45131]) ).
fof(f45133,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f39997,f45132]) ).
fof(f45696,plain,
! [X0,X1] : X0 = multiply(X1,multiply(inverse(X1),X0)),
inference(backward_demodulation,[status(thm)],[f45133,f30483]) ).
fof(f45714,plain,
! [X0,X1] : X0 = multiply(X0,multiply(inverse(X1),X1)),
inference(paramodulation,[status(thm)],[f45133,f39999]) ).
fof(f45721,plain,
! [X0,X1] : X0 = multiply(multiply(inverse(X1),X1),X0),
inference(paramodulation,[status(thm)],[f45133,f39997]) ).
fof(f48537,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f45133,f45696]) ).
fof(f49503,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f45714,f45721]) ).
fof(f55421,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(inverse(X1))),X2) = multiply(X0,multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f43568,f21107]) ).
fof(f55422,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f45133,f55421]) ).
fof(f116585,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(backward_demodulation,[status(thm)],[f55422,f13]) ).
fof(f116586,plain,
( $false
| spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f116585]) ).
fof(f116587,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f116586]) ).
fof(f116715,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f7,f49503]) ).
fof(f116716,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f116715]) ).
fof(f116717,plain,
( multiply(inverse(b2),multiply(b2,a2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f55422,f10]) ).
fof(f116718,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f48537,f116717]) ).
fof(f116719,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f116718]) ).
fof(f116720,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f116719]) ).
fof(f116721,plain,
$false,
inference(sat_refutation,[status(thm)],[f14,f116587,f116716,f116720]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP060-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n024.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 00:18:06 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 98.06/12.70 % Refutation found
% 98.06/12.70 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 98.06/12.70 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 100.25/13.02 % Elapsed time: 12.648926 seconds
% 100.25/13.02 % CPU time: 99.630165 seconds
% 100.25/13.02 % Total memory used: 1.651 GB
% 100.25/13.02 % Net memory used: 1.647 GB
%------------------------------------------------------------------------------