TSTP Solution File: GRP421-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP421-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 20:20:25 EDT 2024
% Result : Unsatisfiable 0.14s 0.52s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 2
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 12 ( 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 : 63 ( 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),multiply(inverse(C),inverse(multiply(inverse(C),C))))))),multiply(A,C))) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2] : inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2))) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f5,plain,
! [X0,X1,X2] : inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))) = multiply(inverse(X2),inverse(multiply(inverse(X1),multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))))),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f6,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),multiply(inverse(X4),inverse(multiply(inverse(X4),X4))))))),multiply(X3,X4)),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : inverse(multiply(X0,multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),X3))) = multiply(inverse(X3),inverse(multiply(inverse(multiply(X1,X2)),multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3)))))))),
inference(paramodulation,[status(thm)],[f3,f5]) ).
fof(f15,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))) = inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,X2))),
inference(paramodulation,[status(thm)],[f5,f5]) ).
fof(f47,plain,
! [X0,X1,X2] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2)))),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))) = X1,
inference(paramodulation,[status(thm)],[f5,f3]) ).
fof(f50,plain,
! [X0,X1,X2] : inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))) = inverse(multiply(inverse(multiply(a1,X1)),multiply(a1,X2))),
inference(equality_split,[status(esa)],[f15]) ).
fof(f52,plain,
! [X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(multiply(a1,X0)),multiply(a1,X1)))),multiply(inverse(X1),inverse(multiply(inverse(X1),X1))))) = X0,
inference(forward_demodulation,[status(thm)],[f50,f47]) ).
fof(f98,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),multiply(X0,X2))) = multiply(inverse(inverse(multiply(inverse(multiply(a1,X1)),multiply(a1,X3)))),multiply(inverse(X3),inverse(multiply(inverse(X3),X3)))),
inference(paramodulation,[status(thm)],[f52,f3]) ).
fof(f99,plain,
! [X0,X1,X2] : inverse(multiply(inverse(multiply(a1,inverse(multiply(X0,multiply(inverse(X1),inverse(multiply(inverse(X1),X1))))))),multiply(a1,X1))) = multiply(inverse(inverse(multiply(inverse(multiply(a1,X0)),multiply(a1,X2)))),multiply(inverse(X2),inverse(multiply(inverse(X2),X2)))),
inference(forward_demodulation,[status(thm)],[f50,f98]) ).
fof(f100,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(multiply(a1,inverse(multiply(X0,multiply(inverse(X1),inverse(multiply(inverse(X1),X1))))))),multiply(a1,X1))) = multiply(inverse(multiply(X2,inverse(multiply(inverse(X0),multiply(inverse(X3),inverse(multiply(inverse(X3),X3))))))),multiply(X2,X3)),
inference(forward_demodulation,[status(thm)],[f50,f6]) ).
fof(f101,plain,
! [X0,X1] : inverse(multiply(inverse(multiply(a1,inverse(multiply(X0,multiply(inverse(X1),inverse(multiply(inverse(X1),X1))))))),multiply(a1,X1))) = multiply(inverse(multiply(a1,inverse(multiply(inverse(X0),multiply(inverse(a1),inverse(multiply(inverse(a1),a1))))))),multiply(a1,a1)),
inference(equality_split,[status(esa)],[f100]) ).
fof(f103,plain,
! [X0] : X0 = multiply(inverse(multiply(a1,inverse(multiply(inverse(inverse(X0)),multiply(inverse(a1),inverse(multiply(inverse(a1),a1))))))),multiply(a1,a1)),
inference(paramodulation,[status(thm)],[f3,f101]) ).
fof(f445,plain,
! [X0,X1] : multiply(inverse(multiply(a1,inverse(multiply(inverse(X0),multiply(inverse(a1),inverse(multiply(inverse(a1),a1))))))),multiply(a1,a1)) = multiply(inverse(inverse(multiply(inverse(multiply(a1,X0)),multiply(a1,X1)))),multiply(inverse(X1),inverse(multiply(inverse(X1),X1)))),
inference(forward_demodulation,[status(thm)],[f101,f99]) ).
fof(f446,plain,
! [X0,X1] : X0 = multiply(inverse(inverse(multiply(inverse(multiply(a1,inverse(X0))),multiply(a1,X1)))),multiply(inverse(X1),inverse(multiply(inverse(X1),X1)))),
inference(paramodulation,[status(thm)],[f103,f445]) ).
fof(f1441,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(X0,multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),X3))) = inverse(multiply(inverse(multiply(X4,multiply(X1,X2))),multiply(X4,X3))),
inference(paramodulation,[status(thm)],[f5,f12]) ).
fof(f1442,plain,
! [X0,X1,X2,X3] : inverse(multiply(X0,multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),multiply(inverse(X2),inverse(multiply(inverse(X2),X2))))))),X3))) = inverse(multiply(inverse(multiply(a1,multiply(X1,X2))),multiply(a1,X3))),
inference(forward_demodulation,[status(thm)],[f50,f1441]) ).
fof(f2717,plain,
! [X0] : inverse(multiply(inverse(X0),X0)) = inverse(multiply(inverse(multiply(a1,multiply(a1,a1))),multiply(a1,multiply(a1,a1)))),
inference(paramodulation,[status(thm)],[f103,f1442]) ).
fof(f3178,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(inverse(multiply(inverse(multiply(a1,inverse(multiply(inverse(multiply(a1,multiply(a1,a1))),multiply(a1,multiply(a1,a1)))))),multiply(a1,X1)))),multiply(inverse(X1),inverse(multiply(inverse(X1),X1)))),
inference(paramodulation,[status(thm)],[f2717,f446]) ).
fof(f3179,plain,
! [X0] : multiply(inverse(X0),X0) = multiply(inverse(multiply(a1,multiply(a1,a1))),multiply(a1,multiply(a1,a1))),
inference(forward_demodulation,[status(thm)],[f446,f3178]) ).
fof(f3515,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f3179,f3179]) ).
fof(f4002,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f4,f3515]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : GRP421-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n003.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 30 00:37:33 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.6.0
% 0.14/0.52 % Refutation found
% 0.14/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.56 % Elapsed time: 0.244326 seconds
% 0.14/0.56 % CPU time: 1.829329 seconds
% 0.14/0.56 % Total memory used: 92.600 MB
% 0.14/0.56 % Net memory used: 91.538 MB
%------------------------------------------------------------------------------