TSTP Solution File: GRP407-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP407-1 : TPTP v8.1.2. Released v2.6.0.
% 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 20:20:20 EDT 2024
% Result : Unsatisfiable 11.07s 1.78s
% Output : CNFRefutation 11.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 2
% Syntax : Number of formulae : 70 ( 70 unt; 0 def)
% Number of atoms : 70 ( 69 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 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 : 130 ( 130 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(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)),multiply(inverse(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] : multiply(X0,inverse(multiply(inverse(X1),multiply(inverse(X2),multiply(inverse(X2),X2))))) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),X1)),multiply(inverse(X3),multiply(inverse(X3),X3)))),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f7,plain,
! [X0,X1,X2,X3] : X0 = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X1,X2)),X0))),multiply(inverse(X3),multiply(inverse(X3),X3)))),
inference(paramodulation,[status(thm)],[f3,f5]) ).
fof(f30,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(multiply(inverse(X2),multiply(inverse(X1),multiply(inverse(X1),X1)))))) = X2,
inference(paramodulation,[status(thm)],[f5,f3]) ).
fof(f40,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X2,inverse(multiply(inverse(X3),multiply(inverse(X4),multiply(inverse(X4),X4))))))) = multiply(inverse(multiply(inverse(multiply(X2,X4)),X1)),X3),
inference(paramodulation,[status(thm)],[f5,f30]) ).
fof(f55,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))),multiply(inverse(X5),multiply(inverse(X5),X5)))),X0))),multiply(inverse(X2),multiply(inverse(X2),X2)))),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f56,plain,
! [X0,X1,X2] : X0 = inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),multiply(inverse(X2),multiply(inverse(X2),X2)))),
inference(forward_demodulation,[status(thm)],[f7,f55]) ).
fof(f283,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1)))) = inverse(multiply(inverse(multiply(inverse(multiply(X0,X3)),X2)),multiply(inverse(X3),multiply(inverse(X3),X3)))),
inference(paramodulation,[status(thm)],[f3,f56]) ).
fof(f314,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),inverse(multiply(X2,multiply(inverse(multiply(X0,X2)),multiply(inverse(multiply(X0,X2)),multiply(X0,X2)))))) = multiply(inverse(X1),multiply(inverse(X1),X1)),
inference(paramodulation,[status(thm)],[f56,f3]) ).
fof(f315,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)],[f56,f30]) ).
fof(f386,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)],[f315]) ).
fof(f655,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),inverse(multiply(X2,multiply(inverse(multiply(X0,X2)),multiply(inverse(multiply(b2,X2)),multiply(b2,X2)))))) = multiply(inverse(X1),multiply(inverse(X1),X1)),
inference(forward_demodulation,[status(thm)],[f386,f314]) ).
fof(f917,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(b2,X0)),multiply(b2,multiply(X1,inverse(multiply(inverse(X2),multiply(inverse(X3),multiply(inverse(X3),X3))))))) = multiply(inverse(multiply(inverse(multiply(X1,X3)),X0)),X2),
inference(forward_demodulation,[status(thm)],[f386,f40]) ).
fof(f924,plain,
! [X0,X1,X2] : multiply(inverse(multiply(b2,X0)),multiply(b2,multiply(inverse(X1),multiply(inverse(X1),X1)))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(b2,X1)),multiply(b2,inverse(X2)))),X0)),X2),
inference(paramodulation,[status(thm)],[f655,f917]) ).
fof(f932,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(b2,X0)),multiply(b2,multiply(X1,X2))) = multiply(inverse(multiply(inverse(multiply(X1,X3)),X0)),multiply(inverse(multiply(X4,X3)),multiply(X4,X2))),
inference(paramodulation,[status(thm)],[f56,f917]) ).
fof(f933,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(b2,X0)),multiply(b2,multiply(X1,X2))) = multiply(inverse(multiply(inverse(multiply(X1,X3)),X0)),multiply(inverse(multiply(b2,X3)),multiply(b2,X2))),
inference(forward_demodulation,[status(thm)],[f386,f932]) ).
fof(f1061,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(b2,multiply(inverse(X0),multiply(inverse(X0),X0)))),multiply(b2,multiply(inverse(multiply(X1,X0)),X2))) = multiply(X3,multiply(inverse(multiply(b2,multiply(X1,X3))),multiply(b2,X2))),
inference(paramodulation,[status(thm)],[f56,f933]) ).
fof(f1117,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(X1,multiply(inverse(multiply(b2,X1)),multiply(b2,multiply(X0,X1)))))) = multiply(inverse(X2),multiply(inverse(X2),X2)),
inference(paramodulation,[status(thm)],[f933,f655]) ).
fof(f1493,plain,
! [X0,X1] : multiply(inverse(multiply(b2,multiply(inverse(X0),multiply(inverse(X0),X0)))),multiply(b2,multiply(inverse(X0),multiply(inverse(X0),X0)))) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f56,f924]) ).
fof(f1694,plain,
! [X0] : multiply(inverse(X0),X0) = multiply(inverse(b2),b2),
inference(equality_split,[status(esa)],[f1493]) ).
fof(f3450,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(b2),b2)))) = inverse(multiply(inverse(multiply(inverse(multiply(X0,X3)),X2)),multiply(inverse(X3),multiply(inverse(X3),X3)))),
inference(forward_demodulation,[status(thm)],[f1694,f283]) ).
fof(f3451,plain,
! [X0,X1,X2,X3] : inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(b2),b2)))) = inverse(multiply(inverse(multiply(inverse(multiply(X0,X3)),X2)),multiply(inverse(X3),multiply(inverse(b2),b2)))),
inference(forward_demodulation,[status(thm)],[f1694,f3450]) ).
fof(f3453,plain,
! [X0,X1,X2] : inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(b2),b2)))) = inverse(multiply(inverse(multiply(inverse(multiply(X0,b2)),X2)),multiply(inverse(b2),multiply(inverse(b2),b2)))),
inference(equality_split,[status(esa)],[f3451]) ).
fof(f3457,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(b2,multiply(inverse(X0),multiply(inverse(b2),b2)))),multiply(b2,multiply(inverse(multiply(X1,X0)),X2))) = multiply(X3,multiply(inverse(multiply(b2,multiply(X1,X3))),multiply(b2,X2))),
inference(forward_demodulation,[status(thm)],[f1694,f1061]) ).
fof(f3458,plain,
! [X0,X1,X2] : multiply(inverse(multiply(b2,multiply(inverse(X0),multiply(inverse(b2),b2)))),multiply(b2,multiply(inverse(multiply(X1,X0)),X2))) = multiply(b2,multiply(inverse(multiply(b2,multiply(X1,b2))),multiply(b2,X2))),
inference(equality_split,[status(esa)],[f3457]) ).
fof(f3500,plain,
! [X0,X1,X2] : multiply(inverse(multiply(b2,multiply(inverse(X0),multiply(inverse(b2),b2)))),multiply(b2,multiply(inverse(X0),multiply(inverse(X0),X0)))) = multiply(b2,multiply(inverse(multiply(b2,multiply(X1,b2))),multiply(b2,inverse(multiply(X2,multiply(inverse(multiply(X1,X2)),multiply(inverse(multiply(b2,X2)),multiply(b2,X2)))))))),
inference(paramodulation,[status(thm)],[f655,f3458]) ).
fof(f3501,plain,
! [X0,X1,X2] : multiply(inverse(multiply(b2,multiply(inverse(X0),multiply(inverse(b2),b2)))),multiply(b2,multiply(inverse(X0),multiply(inverse(b2),b2)))) = multiply(b2,multiply(inverse(multiply(b2,multiply(X1,b2))),multiply(b2,inverse(multiply(X2,multiply(inverse(multiply(X1,X2)),multiply(inverse(multiply(b2,X2)),multiply(b2,X2)))))))),
inference(forward_demodulation,[status(thm)],[f1694,f3500]) ).
fof(f3502,plain,
! [X0,X1] : multiply(inverse(b2),b2) = multiply(b2,multiply(inverse(multiply(b2,multiply(X0,b2))),multiply(b2,inverse(multiply(X1,multiply(inverse(multiply(X0,X1)),multiply(inverse(multiply(b2,X1)),multiply(b2,X1)))))))),
inference(forward_demodulation,[status(thm)],[f1694,f3501]) ).
fof(f3503,plain,
! [X0,X1] : multiply(inverse(b2),b2) = multiply(b2,multiply(inverse(multiply(b2,multiply(X0,b2))),multiply(b2,inverse(multiply(X1,multiply(inverse(multiply(X0,X1)),multiply(inverse(b2),b2))))))),
inference(forward_demodulation,[status(thm)],[f1694,f3502]) ).
fof(f4535,plain,
! [X0,X1,X2] : multiply(inverse(b2),b2) = multiply(b2,multiply(inverse(multiply(b2,multiply(X0,b2))),multiply(b2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),multiply(inverse(X1),multiply(inverse(X1),X1)))),multiply(inverse(X2),multiply(inverse(b2),b2))))))),
inference(paramodulation,[status(thm)],[f3,f3503]) ).
fof(f4536,plain,
! [X0,X1] : multiply(inverse(b2),b2) = multiply(b2,multiply(inverse(multiply(b2,multiply(X0,b2))),multiply(b2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),b2)),multiply(inverse(X1),multiply(inverse(X1),X1)))),multiply(inverse(b2),multiply(inverse(b2),b2))))))),
inference(forward_demodulation,[status(thm)],[f3453,f4535]) ).
fof(f4537,plain,
! [X0,X1] : multiply(inverse(b2),b2) = multiply(b2,multiply(inverse(multiply(b2,multiply(X0,b2))),multiply(b2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),b2)),multiply(inverse(X1),multiply(inverse(b2),b2)))),multiply(inverse(b2),multiply(inverse(b2),b2))))))),
inference(forward_demodulation,[status(thm)],[f1694,f4536]) ).
fof(f4538,plain,
! [X0] : multiply(inverse(b2),b2) = multiply(b2,multiply(inverse(multiply(b2,multiply(X0,b2))),multiply(b2,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,b2)),b2)),multiply(inverse(b2),multiply(inverse(b2),b2)))),multiply(inverse(b2),multiply(inverse(b2),b2))))))),
inference(forward_demodulation,[status(thm)],[f3453,f4537]) ).
fof(f4539,plain,
! [X0] : multiply(inverse(b2),b2) = multiply(b2,multiply(inverse(multiply(b2,multiply(X0,b2))),multiply(b2,multiply(X0,inverse(multiply(inverse(multiply(inverse(b2),multiply(inverse(b2),b2))),multiply(inverse(b2),multiply(inverse(b2),b2)))))))),
inference(forward_demodulation,[status(thm)],[f5,f4538]) ).
fof(f4540,plain,
! [X0] : multiply(inverse(b2),b2) = multiply(b2,multiply(inverse(multiply(inverse(multiply(X0,b2)),multiply(X0,b2))),multiply(inverse(b2),multiply(inverse(b2),b2)))),
inference(forward_demodulation,[status(thm)],[f917,f4539]) ).
fof(f4541,plain,
multiply(inverse(b2),b2) = multiply(b2,multiply(inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,b2))),multiply(inverse(b2),multiply(inverse(b2),b2)))),
inference(forward_demodulation,[status(thm)],[f386,f4540]) ).
fof(f4542,plain,
multiply(inverse(b2),b2) = multiply(b2,multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(b2),multiply(inverse(b2),b2)))),
inference(forward_demodulation,[status(thm)],[f1694,f4541]) ).
fof(f4543,plain,
multiply(inverse(b2),b2) = multiply(b2,multiply(inverse(multiply(b2,b2)),multiply(b2,multiply(inverse(b2),b2)))),
inference(forward_demodulation,[status(thm)],[f386,f4542]) ).
fof(f4679,plain,
! [X0] : multiply(inverse(multiply(inverse(multiply(inverse(b2),b2)),X0)),inverse(multiply(inverse(b2),b2))) = multiply(inverse(X0),multiply(inverse(X0),X0)),
inference(paramodulation,[status(thm)],[f4543,f1117]) ).
fof(f4680,plain,
! [X0] : multiply(inverse(multiply(inverse(multiply(inverse(b2),b2)),X0)),inverse(multiply(inverse(b2),b2))) = multiply(inverse(X0),multiply(inverse(b2),b2)),
inference(forward_demodulation,[status(thm)],[f1694,f4679]) ).
fof(f4839,plain,
! [X0] : multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(b2),b2))),multiply(inverse(X0),multiply(inverse(X0),X0))))) = inverse(multiply(inverse(b2),b2)),
inference(paramodulation,[status(thm)],[f4680,f3]) ).
fof(f4840,plain,
! [X0] : multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,multiply(inverse(X0),X0))))) = inverse(multiply(inverse(b2),b2)),
inference(forward_demodulation,[status(thm)],[f386,f4839]) ).
fof(f4841,plain,
multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,multiply(inverse(b2),b2))))) = inverse(multiply(inverse(b2),b2)),
inference(forward_demodulation,[status(thm)],[f1694,f4840]) ).
fof(f4842,plain,
multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(inverse(b2),b2))) = inverse(multiply(inverse(b2),b2)),
inference(forward_demodulation,[status(thm)],[f1694,f4841]) ).
fof(f4913,plain,
multiply(inverse(inverse(multiply(inverse(b2),b2))),inverse(multiply(inverse(b2),b2))) = multiply(inverse(inverse(multiply(inverse(b2),b2))),multiply(inverse(b2),b2)),
inference(paramodulation,[status(thm)],[f4842,f4680]) ).
fof(f4914,plain,
multiply(inverse(b2),b2) = multiply(inverse(inverse(multiply(inverse(b2),b2))),multiply(inverse(b2),b2)),
inference(forward_demodulation,[status(thm)],[f1694,f4913]) ).
fof(f5092,plain,
! [X0] : X0 = inverse(multiply(inverse(multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(inverse(multiply(inverse(b2),b2))),X0))),multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(b2),b2))))),
inference(paramodulation,[status(thm)],[f4914,f56]) ).
fof(f5093,plain,
! [X0] : X0 = inverse(multiply(inverse(multiply(b2,multiply(inverse(inverse(multiply(inverse(b2),b2))),X0))),multiply(b2,multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(b2),b2))))),
inference(forward_demodulation,[status(thm)],[f386,f5092]) ).
fof(f5094,plain,
! [X0] : X0 = inverse(multiply(inverse(multiply(b2,multiply(inverse(inverse(multiply(inverse(b2),b2))),X0))),multiply(b2,multiply(inverse(multiply(b2,b2)),multiply(b2,b2))))),
inference(forward_demodulation,[status(thm)],[f386,f5093]) ).
fof(f5095,plain,
! [X0] : X0 = inverse(multiply(inverse(multiply(b2,multiply(inverse(inverse(multiply(inverse(b2),b2))),X0))),multiply(b2,multiply(inverse(b2),b2)))),
inference(forward_demodulation,[status(thm)],[f1694,f5094]) ).
fof(f5520,plain,
multiply(inverse(b2),b2) = inverse(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,multiply(inverse(b2),b2)))),
inference(paramodulation,[status(thm)],[f4914,f5095]) ).
fof(f5521,plain,
multiply(inverse(b2),b2) = inverse(multiply(inverse(b2),b2)),
inference(forward_demodulation,[status(thm)],[f1694,f5520]) ).
fof(f6459,plain,
multiply(inverse(multiply(inverse(b2),b2)),inverse(multiply(inverse(b2),b2))) = multiply(inverse(b2),b2),
inference(backward_demodulation,[status(thm)],[f5521,f4842]) ).
fof(f6460,plain,
multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(b2),b2))) = multiply(inverse(b2),b2),
inference(forward_demodulation,[status(thm)],[f5521,f6459]) ).
fof(f6461,plain,
multiply(multiply(inverse(b2),b2),multiply(inverse(b2),b2)) = multiply(inverse(b2),b2),
inference(forward_demodulation,[status(thm)],[f5521,f6460]) ).
fof(f6462,plain,
! [X0] : multiply(inverse(multiply(inverse(multiply(inverse(b2),b2)),X0)),multiply(inverse(b2),b2)) = multiply(inverse(X0),multiply(inverse(b2),b2)),
inference(backward_demodulation,[status(thm)],[f5521,f4680]) ).
fof(f6463,plain,
! [X0] : multiply(inverse(multiply(multiply(inverse(b2),b2),X0)),multiply(inverse(b2),b2)) = multiply(inverse(X0),multiply(inverse(b2),b2)),
inference(forward_demodulation,[status(thm)],[f5521,f6462]) ).
fof(f6772,plain,
! [X0] : multiply(inverse(multiply(inverse(b2),b2)),multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(b2),b2))))))) = X0,
inference(paramodulation,[status(thm)],[f6461,f30]) ).
fof(f6773,plain,
! [X0] : multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(b2),b2))))))) = X0,
inference(forward_demodulation,[status(thm)],[f5521,f6772]) ).
fof(f6774,plain,
! [X0] : multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(X0),multiply(multiply(inverse(b2),b2),multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(b2),b2))))))) = X0,
inference(forward_demodulation,[status(thm)],[f5521,f6773]) ).
fof(f6775,plain,
! [X0] : multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(X0),multiply(multiply(inverse(b2),b2),multiply(inverse(multiply(b2,b2)),multiply(b2,b2))))))) = X0,
inference(forward_demodulation,[status(thm)],[f386,f6774]) ).
fof(f6776,plain,
! [X0] : multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(X0),multiply(multiply(inverse(b2),b2),multiply(inverse(b2),b2)))))) = X0,
inference(forward_demodulation,[status(thm)],[f1694,f6775]) ).
fof(f6777,plain,
! [X0] : multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(X0),multiply(inverse(b2),b2))))) = X0,
inference(forward_demodulation,[status(thm)],[f6461,f6776]) ).
fof(f7380,plain,
! [X0] : multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(X0),multiply(inverse(b2),b2))))) = multiply(multiply(inverse(b2),b2),X0),
inference(paramodulation,[status(thm)],[f6463,f6777]) ).
fof(f7381,plain,
! [X0] : X0 = multiply(multiply(inverse(b2),b2),X0),
inference(forward_demodulation,[status(thm)],[f6777,f7380]) ).
fof(f7493,plain,
a2 != a2,
inference(backward_demodulation,[status(thm)],[f7381,f4]) ).
fof(f7494,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f7493]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP407-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.35 % Computer : n028.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Tue Apr 30 00:43:44 EDT 2024
% 0.12/0.35 % CPUTime :
% 0.12/0.36 % Drodi V3.6.0
% 11.07/1.78 % Refutation found
% 11.07/1.78 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 11.07/1.78 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 11.52/1.85 % Elapsed time: 1.478412 seconds
% 11.52/1.85 % CPU time: 11.510477 seconds
% 11.52/1.85 % Total memory used: 322.605 MB
% 11.52/1.85 % Net memory used: 313.576 MB
%------------------------------------------------------------------------------