TSTP Solution File: GRP425-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP425-1 : 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 : Wed May 31 12:11:38 EDT 2023
% Result : Unsatisfiable 20.45s 2.98s
% Output : CNFRefutation 21.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 2
% Syntax : Number of formulae : 64 ( 64 unt; 0 def)
% Number of atoms : 64 ( 63 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 20 ( 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 : 226 (; 226 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : multiply(inverse(multiply(inverse(multiply(A,inverse(multiply(inverse(B),C)))),multiply(A,inverse(C)))),inverse(multiply(inverse(C),C))) = B,
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(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2))) = X1,
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] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(X2)))),inverse(multiply(inverse(X2),X2))) = X2,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f6,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X2)))),multiply(X3,inverse(X2))),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f7,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X3),multiply(inverse(X2),X2))))),X1)),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))) = X3,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f10,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),multiply(inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))) = inverse(multiply(inverse(X2),X2)),
inference(paramodulation,[status(thm)],[f3,f5]) ).
fof(f53,plain,
! [X0,X1,X2] : X0 = multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),X2)))),X2)))),multiply(X1,inverse(X2))),
inference(paramodulation,[status(thm)],[f3,f6]) ).
fof(f54,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X2)))),multiply(X3,inverse(X2))),
inference(paramodulation,[status(thm)],[f6,f6]) ).
fof(f95,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(X2),X2))) = X1,
inference(paramodulation,[status(thm)],[f6,f3]) ).
fof(f123,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,inverse(X3)))))),inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X3))))) = multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),X3)))),X3))),
inference(paramodulation,[status(thm)],[f53,f3]) ).
fof(f143,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,inverse(X3))))) = multiply(inverse(multiply(X4,inverse(multiply(inverse(multiply(X2,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X3),X3)))),X3)))),multiply(X2,inverse(X3)))))),multiply(X4,inverse(multiply(X2,inverse(X3))))),
inference(paramodulation,[status(thm)],[f53,f54]) ).
fof(f144,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,inverse(X3))))) = multiply(inverse(multiply(X4,inverse(X1))),multiply(X4,inverse(multiply(X2,inverse(X3))))),
inference(forward_demodulation,[status(thm)],[f53,f143]) ).
fof(f228,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X5),X6)))),multiply(X4,inverse(X6)))),inverse(multiply(inverse(X2),multiply(inverse(X6),X6))))),X5)),inverse(multiply(inverse(multiply(inverse(X6),X6)),multiply(inverse(X6),X6))))))),
inference(paramodulation,[status(thm)],[f7,f144]) ).
fof(f229,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(X2))),
inference(forward_demodulation,[status(thm)],[f7,f228]) ).
fof(f377,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(X2,inverse(X3)))))),multiply(X0,inverse(multiply(X2,inverse(X3)))))),inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(X3))))) = X1,
inference(paramodulation,[status(thm)],[f229,f3]) ).
fof(f378,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))))),multiply(X0,inverse(multiply(X4,inverse(X3)))))),inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(X3))))) = multiply(X4,inverse(X2)),
inference(paramodulation,[status(thm)],[f229,f3]) ).
fof(f379,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))) = multiply(X0,inverse(X2)),
inference(forward_demodulation,[status(thm)],[f123,f378]) ).
fof(f521,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(X2),X2))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4),
inference(paramodulation,[status(thm)],[f379,f95]) ).
fof(f522,plain,
! [X0,X1,X2] : X0 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2),
inference(forward_demodulation,[status(thm)],[f95,f521]) ).
fof(f657,plain,
! [X0,X1,X2,X3,X4] : X0 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(multiply(X2,inverse(X3)))))),inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(X3)))))),multiply(X2,inverse(X3))),
inference(paramodulation,[status(thm)],[f229,f522]) ).
fof(f753,plain,
! [X0,X1,X2,X3,X4,X5] : X0 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(multiply(X2,inverse(X3)))))),inverse(multiply(inverse(X4),multiply(inverse(multiply(inverse(multiply(inverse(multiply(X5,inverse(X4))),multiply(X5,inverse(inverse(X3))))),inverse(multiply(inverse(inverse(X3)),inverse(X3))))),inverse(X3)))))),multiply(X2,inverse(X3))),
inference(paramodulation,[status(thm)],[f522,f657]) ).
fof(f754,plain,
! [X0,X1,X2,X3,X4] : X0 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(multiply(X2,inverse(X3)))))),inverse(multiply(inverse(X4),X4)))),multiply(X2,inverse(X3))),
inference(forward_demodulation,[status(thm)],[f522,f753]) ).
fof(f796,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,inverse(X3)))))),inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X3))))) = multiply(inverse(multiply(inverse(multiply(X4,inverse(X1))),multiply(X4,inverse(multiply(X2,inverse(X3)))))),inverse(multiply(inverse(multiply(X5,inverse(X3))),multiply(X5,inverse(X3))))),
inference(paramodulation,[status(thm)],[f657,f3]) ).
fof(f797,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X2),X2)))),X2))) = multiply(inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(multiply(X0,inverse(X2)))))),inverse(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(X2))))),
inference(forward_demodulation,[status(thm)],[f123,f796]) ).
fof(f798,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))) = X1,
inference(backward_demodulation,[status(thm)],[f797,f377]) ).
fof(f822,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3)))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))))))) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))))),
inference(paramodulation,[status(thm)],[f798,f6]) ).
fof(f834,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3)))),multiply(X0,inverse(X4))) = multiply(inverse(X1),multiply(X2,inverse(X4))),
inference(paramodulation,[status(thm)],[f798,f229]) ).
fof(f930,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3)))))),multiply(inverse(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3)))))))),inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3)))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))))))) = inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3)))),
inference(paramodulation,[status(thm)],[f798,f10]) ).
fof(f1014,plain,
! [X0,X1,X2,X3,X4,X5,X6] : X0 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X3),X3)))),multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,inverse(multiply(inverse(X5),X6)))),multiply(X4,inverse(X6)))),inverse(multiply(inverse(X2),multiply(inverse(X6),X6))))),X5)),inverse(multiply(inverse(multiply(inverse(X6),X6)),multiply(inverse(X6),X6))))),
inference(paramodulation,[status(thm)],[f7,f754]) ).
fof(f1015,plain,
! [X0,X1,X2,X3] : X0 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X3),X3)))),X2),
inference(forward_demodulation,[status(thm)],[f7,f1014]) ).
fof(f1064,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(X1),X1)))),X1) = multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),X2)))),X1),
inference(paramodulation,[status(thm)],[f53,f1015]) ).
fof(f1159,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X3),X3)))),X2))) = X1,
inference(paramodulation,[status(thm)],[f1064,f798]) ).
fof(f1162,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(X0),inverse(X1))),multiply(inverse(X0),inverse(X1))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),X2)))),multiply(inverse(X0),inverse(X1)))),inverse(multiply(inverse(X3),X3)))),X1),
inference(paramodulation,[status(thm)],[f1064,f1015]) ).
fof(f1163,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(X0),inverse(X1))),multiply(inverse(X0),inverse(X1))) = multiply(inverse(X2),X2),
inference(forward_demodulation,[status(thm)],[f1015,f1162]) ).
fof(f1268,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f1163,f1163]) ).
fof(f1303,plain,
! [X0,X1,X2] : X0 = multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2)))),X0),
inference(paramodulation,[status(thm)],[f1163,f1015]) ).
fof(f1369,plain,
! [X0] : multiply(multiply(inverse(X0),X0),a2) != a2,
inference(paramodulation,[status(thm)],[f1268,f4]) ).
fof(f1448,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(X0),X0)),inverse(X1)) = multiply(inverse(multiply(X2,inverse(multiply(inverse(X3),X3)))),multiply(X2,inverse(X1))),
inference(paramodulation,[status(thm)],[f229,f1303]) ).
fof(f1452,plain,
! [X0,X1,X2,X3] : X0 = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2)))),inverse(multiply(inverse(X3),X3)))),X0),
inference(paramodulation,[status(thm)],[f1303,f1303]) ).
fof(f1453,plain,
! [X0,X1] : X0 = multiply(inverse(inverse(multiply(inverse(X1),X1))),X0),
inference(forward_demodulation,[status(thm)],[f1303,f1452]) ).
fof(f1466,plain,
! [X0,X1] : multiply(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1))),a2) != a2,
inference(paramodulation,[status(thm)],[f1303,f1369]) ).
fof(f1474,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(X4),X4)))),inverse(X1))),inverse(X2)),
inference(paramodulation,[status(thm)],[f1303,f229]) ).
fof(f1475,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2))) = multiply(inverse(inverse(X1)),inverse(X2)),
inference(forward_demodulation,[status(thm)],[f1303,f1474]) ).
fof(f1532,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3)))))),multiply(inverse(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3)))))))),inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3)))))))),inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3)))))) = inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X2),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3)))),
inference(backward_demodulation,[status(thm)],[f1453,f930]) ).
fof(f1533,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(inverse(inverse(X0)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))))),multiply(inverse(multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))))))),inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))))))),inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))))) = inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))),
inference(forward_demodulation,[status(thm)],[f1475,f1532]) ).
fof(f1534,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(multiply(inverse(inverse(X0)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))))),multiply(inverse(multiply(inverse(inverse(X1)),inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))))))),inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))))))),inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))))) = inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))),
inference(forward_demodulation,[status(thm)],[f1475,f1533]) ).
fof(f1535,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3)))))))),inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3)))))) = multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(inverse(X1),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3))))),
inference(backward_demodulation,[status(thm)],[f1453,f822]) ).
fof(f1536,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(inverse(X0)),inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))))))),inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))))) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))))),
inference(forward_demodulation,[status(thm)],[f1475,f1535]) ).
fof(f1537,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(inverse(X0)),inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))))))),inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))))) = multiply(inverse(inverse(X1)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(inverse(X0),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))),
inference(forward_demodulation,[status(thm)],[f1475,f1536]) ).
fof(f2349,plain,
! [X0,X1,X2,X3] : multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),inverse(X3)) = multiply(inverse(X0),multiply(X1,inverse(X3))),
inference(backward_demodulation,[status(thm)],[f1475,f834]) ).
fof(f2376,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(X0),X0)),inverse(X1)) = multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(X1)),
inference(backward_demodulation,[status(thm)],[f1475,f1448]) ).
fof(f2377,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X0),X0)),inverse(X1)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f1453,f2376]) ).
fof(f2634,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(multiply(inverse(inverse(X0)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))))),multiply(inverse(inverse(X0)),inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))))),inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))))) = inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))),
inference(backward_demodulation,[status(thm)],[f1537,f1534]) ).
fof(f2635,plain,
! [X0,X1,X2] : inverse(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))))) = inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))),
inference(forward_demodulation,[status(thm)],[f2377,f2634]) ).
fof(f2636,plain,
! [X0,X1,X2] : inverse(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))))) = inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))),
inference(forward_demodulation,[status(thm)],[f2349,f2635]) ).
fof(f2637,plain,
! [X0,X1,X2] : inverse(inverse(multiply(inverse(X0),X0))) = inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2)))),
inference(forward_demodulation,[status(thm)],[f1159,f2636]) ).
fof(f2638,plain,
! [X0,X1,X2] : inverse(inverse(multiply(inverse(X0),X0))) = inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(X1),inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))))),
inference(forward_demodulation,[status(thm)],[f2349,f2637]) ).
fof(f2639,plain,
! [X0] : inverse(inverse(multiply(inverse(X0),X0))) = inverse(multiply(inverse(X0),X0)),
inference(forward_demodulation,[status(thm)],[f1159,f2638]) ).
fof(f2989,plain,
! [X0] : multiply(inverse(multiply(inverse(X0),X0)),a2) != a2,
inference(backward_demodulation,[status(thm)],[f2377,f1466]) ).
fof(f3212,plain,
! [X0,X1] : X0 = multiply(inverse(multiply(inverse(X1),X1)),X0),
inference(backward_demodulation,[status(thm)],[f2639,f1453]) ).
fof(f3322,plain,
a2 != a2,
inference(backward_demodulation,[status(thm)],[f3212,f2989]) ).
fof(f3323,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f3322]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP425-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n028.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 May 30 11:45:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 20.45/2.98 % Refutation found
% 20.45/2.98 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 20.45/2.98 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 21.23/3.09 % Elapsed time: 2.727685 seconds
% 21.23/3.09 % CPU time: 21.155505 seconds
% 21.23/3.09 % Memory used: 267.923 MB
%------------------------------------------------------------------------------