TSTP Solution File: GRP415-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP415-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 12:11:37 EDT 2023
% Result : Unsatisfiable 49.67s 6.66s
% Output : CNFRefutation 51.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 2
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 18 ( 4 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 : 100 (; 100 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A)))))) = C,
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(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0)))))) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0)))))) = multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(X2)))),inverse(multiply(inverse(X3),X3))))),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f8,plain,
! [X0,X1,X2] : X0 = multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(X0))))),inverse(multiply(inverse(X1),X1))))),
inference(paramodulation,[status(thm)],[f3,f6]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4] : inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0))))))) = multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(inverse(X2))))),inverse(multiply(inverse(X3),X3))))),
inference(paramodulation,[status(thm)],[f6,f6]) ).
fof(f11,plain,
! [X0,X1,X2] : inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0))))))) = X2,
inference(forward_demodulation,[status(thm)],[f8,f10]) ).
fof(f49,plain,
! [X0,X1,X2,X3,X4,X5,X6] : inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,X4))),inverse(multiply(inverse(X2),X2))))))))),inverse(multiply(inverse(X0),X0)))))) = multiply(X5,inverse(multiply(inverse(multiply(inverse(multiply(X6,X5)),multiply(X6,X4))),inverse(multiply(inverse(X5),X5))))),
inference(paramodulation,[status(thm)],[f11,f6]) ).
fof(f50,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0))))) = multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X2))),inverse(multiply(inverse(X3),X3))))),
inference(forward_demodulation,[status(thm)],[f3,f49]) ).
fof(f71,plain,
! [X0,X1,X2,X3] : inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),inverse(multiply(inverse(X0),X0)))))) = multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,inverse(inverse(X2))))),inverse(multiply(inverse(X1),X1))),
inference(paramodulation,[status(thm)],[f8,f3]) ).
fof(f72,plain,
! [X0,X1,X2,X3] : inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),inverse(multiply(inverse(X0),X0))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X3,X1)),multiply(X3,inverse(inverse(X2))))),inverse(multiply(inverse(X1),X1)))),
inference(paramodulation,[status(thm)],[f8,f11]) ).
fof(f212,plain,
! [X0,X1,X2] : X0 = multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(X0))))))),inverse(multiply(inverse(X2),X2))),
inference(paramodulation,[status(thm)],[f3,f71]) ).
fof(f288,plain,
! [X0,X1,X2] : X0 = multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X0)),inverse(multiply(inverse(X2),X2)))))))),
inference(paramodulation,[status(thm)],[f71,f8]) ).
fof(f320,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X3)))),inverse(multiply(inverse(inverse(multiply(X1,X2))),inverse(multiply(X1,X2)))))) = multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(X3,inverse(multiply(inverse(X2),X2)))))))),
inference(paramodulation,[status(thm)],[f3,f288]) ).
fof(f376,plain,
! [X0,X1,X2,X3] : inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),inverse(multiply(inverse(X0),X0))))))) = inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X1,X3)),X2)),inverse(multiply(inverse(X3),X3))))))),
inference(paramodulation,[status(thm)],[f288,f11]) ).
fof(f489,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),X0) = multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(X2,X0)),multiply(X2,inverse(inverse(multiply(X0,inverse(X3))))))))),multiply(X1,inverse(inverse(X3))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X0)),multiply(X2,inverse(inverse(multiply(X0,inverse(X3)))))))),inverse(multiply(inverse(multiply(X2,X0)),multiply(X2,inverse(inverse(multiply(X0,inverse(X3)))))))))),
inference(paramodulation,[status(thm)],[f212,f212]) ).
fof(f513,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(multiply(inverse(X1),X2)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))) = multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(X4,X0)),multiply(X4,inverse(inverse(multiply(X0,inverse(X1))))))))),multiply(X3,inverse(inverse(X2))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(X4,X0)),multiply(X4,inverse(inverse(multiply(X0,inverse(X1)))))))),inverse(multiply(inverse(multiply(X4,X0)),multiply(X4,inverse(inverse(multiply(X0,inverse(X1)))))))))),
inference(paramodulation,[status(thm)],[f212,f71]) ).
fof(f524,plain,
! [X0,X1] : multiply(inverse(X0),X0) = inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))))))),
inference(backward_demodulation,[status(thm)],[f513,f489]) ).
fof(f793,plain,
! [X0,X1,X2] : X0 = multiply(inverse(multiply(inverse(X1),X1)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))),inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),X0)),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))))),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))))))))))),
inference(paramodulation,[status(thm)],[f524,f288]) ).
fof(f3434,plain,
! [X0,X1,X2,X3] : inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))),inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),X2)),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))))),inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))))))))))) = inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X1)))),multiply(X3,inverse(inverse(X2))))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))),
inference(paramodulation,[status(thm)],[f524,f72]) ).
fof(f3435,plain,
! [X0,X1,X2] : inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))),inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),X2)),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))))),inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))))))))))) = multiply(inverse(X1),inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1)))))))),
inference(forward_demodulation,[status(thm)],[f320,f3434]) ).
fof(f3703,plain,
! [X0,X1] : X0 = multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),inverse(inverse(multiply(X1,inverse(multiply(inverse(X0),inverse(multiply(inverse(X1),X1))))))))),
inference(backward_demodulation,[status(thm)],[f3435,f793]) ).
fof(f3756,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,X1)),X2) = multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X0,X3)),X2)),inverse(multiply(inverse(X3),X3))))))))),
inference(paramodulation,[status(thm)],[f376,f3703]) ).
fof(f3769,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X2))),inverse(multiply(inverse(X3),X3))))))))),
inference(paramodulation,[status(thm)],[f50,f3703]) ).
fof(f3770,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(X3,X1)),multiply(X3,X2)),
inference(forward_demodulation,[status(thm)],[f3756,f3769]) ).
fof(f3896,plain,
! [X0,X1,X2] : X0 = multiply(inverse(multiply(X1,X2)),multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),X2))))))))),
inference(paramodulation,[status(thm)],[f3703,f3770]) ).
fof(f4212,plain,
! [X0,X1,X2] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(multiply(inverse(X2),X2)))),
inference(paramodulation,[status(thm)],[f524,f3896]) ).
fof(f4369,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f4212,f4212]) ).
fof(f4370,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f4,f4369]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GRP415-1 : TPTP v8.1.2. Released v2.6.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n008.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:29:08 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 49.67/6.66 % Refutation found
% 49.67/6.66 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 49.67/6.66 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 51.41/6.93 % Elapsed time: 6.597532 seconds
% 51.41/6.93 % CPU time: 51.120937 seconds
% 51.41/6.93 % Memory used: 890.612 MB
%------------------------------------------------------------------------------