TSTP Solution File: GRP404-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP404-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 20:20:19 EDT 2024
% Result : Unsatisfiable 28.09s 3.94s
% Output : CNFRefutation 28.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 2
% Syntax : Number of formulae : 54 ( 54 unt; 0 def)
% Number of atoms : 54 ( 53 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 14 ( 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 : 79 ( 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(B,multiply(inverse(B),B)))))) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(X1,multiply(inverse(X1),X1)))))) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f5,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),X3)),inverse(multiply(X2,multiply(inverse(X2),X2))))) = multiply(X0,inverse(multiply(inverse(X3),inverse(multiply(X1,multiply(inverse(X1),X1)))))),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f18,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(multiply(X0,X1)),X3))),inverse(multiply(X2,multiply(inverse(X2),X2))))) = X3,
inference(paramodulation,[status(thm)],[f3,f5]) ).
fof(f23,plain,
! [X0,X1,X2] : X0 = multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(multiply(inverse(X0),inverse(multiply(X2,multiply(inverse(X2),X2))))))),
inference(paramodulation,[status(thm)],[f5,f3]) ).
fof(f53,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))),inverse(multiply(X5,multiply(inverse(X5),X5))))),X0))),inverse(multiply(X2,multiply(inverse(X2),X2))))),
inference(paramodulation,[status(thm)],[f18,f18]) ).
fof(f85,plain,
! [X0,X1,X2] : X0 = inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),inverse(multiply(X2,multiply(inverse(X2),X2))))),
inference(forward_demodulation,[status(thm)],[f18,f53]) ).
fof(f253,plain,
! [X0,X1,X2] : inverse(multiply(X0,multiply(inverse(X0),X0))) = multiply(inverse(multiply(X1,X0)),inverse(multiply(X2,inverse(multiply(multiply(X1,X2),multiply(inverse(multiply(X1,X2)),multiply(X1,X2))))))),
inference(paramodulation,[status(thm)],[f85,f3]) ).
fof(f254,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)],[f85,f23]) ).
fof(f298,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(b2,X1)),multiply(b2,X2)),
inference(equality_split,[status(esa)],[f254]) ).
fof(f572,plain,
! [X0,X1,X2] : inverse(multiply(X0,multiply(inverse(X0),X0))) = multiply(inverse(multiply(X1,X0)),inverse(multiply(X2,inverse(multiply(multiply(X1,X2),multiply(inverse(multiply(b2,X2)),multiply(b2,X2))))))),
inference(forward_demodulation,[status(thm)],[f298,f253]) ).
fof(f690,plain,
! [X0,X1] : X0 = multiply(inverse(multiply(inverse(multiply(b2,X1)),multiply(b2,inverse(X0)))),inverse(multiply(X1,multiply(inverse(X1),X1)))),
inference(paramodulation,[status(thm)],[f572,f23]) ).
fof(f766,plain,
! [X0,X1,X2] : X0 = multiply(inverse(multiply(inverse(multiply(b2,multiply(X1,X2))),multiply(b2,inverse(X0)))),inverse(multiply(multiply(X1,X2),multiply(inverse(multiply(b2,X2)),multiply(b2,X2))))),
inference(paramodulation,[status(thm)],[f298,f690]) ).
fof(f797,plain,
! [X0,X1,X2] : multiply(inverse(multiply(b2,X0)),multiply(b2,inverse(multiply(X1,multiply(inverse(X1),X1))))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(b2,X1)),multiply(b2,inverse(X2)))),X0)),X2),
inference(paramodulation,[status(thm)],[f690,f298]) ).
fof(f3915,plain,
! [X0,X1] : multiply(inverse(multiply(b2,inverse(multiply(X0,multiply(inverse(X0),X0))))),multiply(b2,inverse(multiply(X0,multiply(inverse(X0),X0))))) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f85,f797]) ).
fof(f4265,plain,
! [X0] : multiply(inverse(multiply(b2,inverse(multiply(X0,multiply(inverse(X0),X0))))),multiply(b2,inverse(multiply(X0,multiply(inverse(X0),X0))))) = multiply(inverse(b2),b2),
inference(equality_split,[status(esa)],[f3915]) ).
fof(f4266,plain,
! [X0] : multiply(inverse(X0),X0) = multiply(inverse(b2),b2),
inference(equality_split,[status(esa)],[f3915]) ).
fof(f4316,plain,
! [X0] : multiply(X0,multiply(inverse(X0),X0)) = multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(inverse(multiply(X0,multiply(inverse(X0),X0))),multiply(inverse(inverse(multiply(X0,multiply(inverse(X0),X0)))),inverse(multiply(X0,multiply(inverse(X0),X0))))))),
inference(paramodulation,[status(thm)],[f4265,f690]) ).
fof(f4683,plain,
! [X0] : multiply(X0,multiply(inverse(b2),b2)) = multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(inverse(multiply(X0,multiply(inverse(X0),X0))),multiply(inverse(inverse(multiply(X0,multiply(inverse(X0),X0)))),inverse(multiply(X0,multiply(inverse(X0),X0))))))),
inference(forward_demodulation,[status(thm)],[f4266,f4316]) ).
fof(f4684,plain,
! [X0] : multiply(X0,multiply(inverse(b2),b2)) = multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(inverse(multiply(X0,multiply(inverse(b2),b2))),multiply(inverse(inverse(multiply(X0,multiply(inverse(X0),X0)))),inverse(multiply(X0,multiply(inverse(X0),X0))))))),
inference(forward_demodulation,[status(thm)],[f4266,f4683]) ).
fof(f4685,plain,
! [X0] : multiply(X0,multiply(inverse(b2),b2)) = multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(inverse(multiply(X0,multiply(inverse(b2),b2))),multiply(inverse(b2),b2)))),
inference(forward_demodulation,[status(thm)],[f4266,f4684]) ).
fof(f5105,plain,
multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(b2),b2)) = multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(b2),b2)))),
inference(paramodulation,[status(thm)],[f4266,f4685]) ).
fof(f5152,plain,
multiply(inverse(multiply(b2,b2)),multiply(b2,b2)) = multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(b2),b2)))),
inference(forward_demodulation,[status(thm)],[f298,f5105]) ).
fof(f5153,plain,
multiply(inverse(b2),b2) = multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(b2),b2)))),
inference(forward_demodulation,[status(thm)],[f4266,f5152]) ).
fof(f5154,plain,
multiply(inverse(b2),b2) = multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,b2)))),
inference(forward_demodulation,[status(thm)],[f298,f5153]) ).
fof(f5155,plain,
multiply(inverse(b2),b2) = multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(inverse(b2),b2))),
inference(forward_demodulation,[status(thm)],[f4266,f5154]) ).
fof(f6497,plain,
! [X0] : X0 = inverse(multiply(inverse(multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(multiply(inverse(b2),b2)),X0))),inverse(multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(inverse(multiply(inverse(b2),b2))),inverse(multiply(inverse(b2),b2))))))),
inference(paramodulation,[status(thm)],[f5155,f85]) ).
fof(f6647,plain,
! [X0] : X0 = inverse(multiply(inverse(multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(multiply(inverse(b2),b2)),X0))),inverse(multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(b2),b2))))),
inference(forward_demodulation,[status(thm)],[f4266,f6497]) ).
fof(f6648,plain,
! [X0] : X0 = inverse(multiply(inverse(multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(multiply(inverse(b2),b2)),X0))),inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,b2))))),
inference(forward_demodulation,[status(thm)],[f298,f6647]) ).
fof(f6649,plain,
! [X0] : X0 = inverse(multiply(inverse(multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(multiply(inverse(b2),b2)),X0))),inverse(multiply(inverse(b2),b2)))),
inference(forward_demodulation,[status(thm)],[f4266,f6648]) ).
fof(f6691,plain,
multiply(inverse(b2),b2) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(b2),b2))),inverse(multiply(inverse(b2),b2)))),
inference(paramodulation,[status(thm)],[f4266,f6649]) ).
fof(f6820,plain,
multiply(inverse(b2),b2) = inverse(multiply(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,b2))),inverse(multiply(inverse(b2),b2)))),
inference(forward_demodulation,[status(thm)],[f298,f6691]) ).
fof(f6821,plain,
multiply(inverse(b2),b2) = inverse(multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(inverse(b2),b2)))),
inference(forward_demodulation,[status(thm)],[f4266,f6820]) ).
fof(f6822,plain,
multiply(inverse(b2),b2) = inverse(multiply(inverse(b2),b2)),
inference(forward_demodulation,[status(thm)],[f5155,f6821]) ).
fof(f7251,plain,
! [X0] : X0 = inverse(multiply(inverse(multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(multiply(inverse(b2),b2)),X0))),multiply(inverse(b2),b2))),
inference(backward_demodulation,[status(thm)],[f6822,f6649]) ).
fof(f7282,plain,
multiply(inverse(b2),b2) = multiply(multiply(inverse(b2),b2),multiply(inverse(b2),b2)),
inference(paramodulation,[status(thm)],[f6822,f4266]) ).
fof(f7337,plain,
! [X0] : X0 = inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),multiply(inverse(multiply(inverse(b2),b2)),X0))),multiply(inverse(b2),b2))),
inference(forward_demodulation,[status(thm)],[f6822,f7251]) ).
fof(f7338,plain,
! [X0] : X0 = inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),X0))),multiply(inverse(b2),b2))),
inference(forward_demodulation,[status(thm)],[f6822,f7337]) ).
fof(f7573,plain,
! [X0] : X0 = multiply(inverse(multiply(inverse(multiply(b2,multiply(multiply(inverse(b2),b2),multiply(inverse(b2),b2)))),multiply(b2,inverse(X0)))),inverse(multiply(multiply(inverse(b2),b2),multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,multiply(inverse(b2),b2)))))),
inference(paramodulation,[status(thm)],[f7282,f766]) ).
fof(f7623,plain,
! [X0] : X0 = multiply(inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,inverse(X0)))),inverse(multiply(multiply(inverse(b2),b2),multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,multiply(inverse(b2),b2)))))),
inference(forward_demodulation,[status(thm)],[f7282,f7573]) ).
fof(f7624,plain,
! [X0] : X0 = multiply(inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,inverse(X0)))),inverse(multiply(multiply(inverse(b2),b2),multiply(inverse(b2),b2)))),
inference(forward_demodulation,[status(thm)],[f4266,f7623]) ).
fof(f7625,plain,
! [X0] : X0 = multiply(inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,inverse(X0)))),inverse(multiply(inverse(b2),b2))),
inference(forward_demodulation,[status(thm)],[f7282,f7624]) ).
fof(f7626,plain,
! [X0] : X0 = multiply(inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,inverse(X0)))),multiply(inverse(b2),b2)),
inference(forward_demodulation,[status(thm)],[f6822,f7625]) ).
fof(f8578,plain,
! [X0,X1] : X0 = multiply(inverse(multiply(inverse(multiply(b2,multiply(inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,inverse(X1)))),multiply(inverse(b2),b2)))),multiply(b2,inverse(X0)))),inverse(multiply(X1,multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,multiply(inverse(b2),b2)))))),
inference(paramodulation,[status(thm)],[f7626,f766]) ).
fof(f8881,plain,
! [X0,X1] : X0 = multiply(inverse(multiply(inverse(multiply(b2,X1)),multiply(b2,inverse(X0)))),inverse(multiply(X1,multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,multiply(inverse(b2),b2)))))),
inference(forward_demodulation,[status(thm)],[f7626,f8578]) ).
fof(f8882,plain,
! [X0,X1] : X0 = multiply(inverse(multiply(inverse(multiply(b2,X1)),multiply(b2,inverse(X0)))),inverse(multiply(X1,multiply(inverse(b2),b2)))),
inference(forward_demodulation,[status(thm)],[f4266,f8881]) ).
fof(f9014,plain,
! [X0] : X0 = multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(inverse(X0),multiply(inverse(b2),b2)))),
inference(paramodulation,[status(thm)],[f4266,f8882]) ).
fof(f9131,plain,
! [X0] : X0 = multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(X0),multiply(inverse(b2),b2)))),
inference(forward_demodulation,[status(thm)],[f6822,f9014]) ).
fof(f9410,plain,
! [X0] : multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),X0)) = multiply(multiply(inverse(b2),b2),X0),
inference(paramodulation,[status(thm)],[f7338,f9131]) ).
fof(f9580,plain,
! [X0,X1] : multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(inverse(multiply(multiply(inverse(b2),b2),X0)),X1)),inverse(multiply(X0,multiply(inverse(X0),X0)))))) = multiply(multiply(inverse(b2),b2),X1),
inference(paramodulation,[status(thm)],[f3,f9410]) ).
fof(f9625,plain,
! [X1] : X1 = multiply(multiply(inverse(b2),b2),X1),
inference(forward_demodulation,[status(thm)],[f3,f9580]) ).
fof(f9626,plain,
$false,
inference(resolution,[status(thm)],[f9625,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP404-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 00:16:35 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Drodi V3.6.0
% 28.09/3.94 % Refutation found
% 28.09/3.94 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 28.09/3.94 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 28.88/4.08 % Elapsed time: 3.711151 seconds
% 28.88/4.08 % CPU time: 28.962379 seconds
% 28.88/4.08 % Total memory used: 744.466 MB
% 28.88/4.08 % Net memory used: 739.436 MB
%------------------------------------------------------------------------------