TSTP Solution File: BOO067-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : BOO067-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 20:13:12 EDT 2024
% Result : Unsatisfiable 17.59s 2.61s
% Output : CNFRefutation 17.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 2
% Syntax : Number of formulae : 80 ( 80 unt; 0 def)
% Number of atoms : 80 ( 79 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 14 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 488 ( 488 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D,E,F,G] : multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(multiply(d,e,a),b,multiply(d,e,c)) != multiply(d,e,multiply(a,b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X3,multiply(X6,X5,X4),X2)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
multiply(multiply(d,e,a),b,multiply(d,e,c)) != multiply(d,e,multiply(a,b,c)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f5,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : multiply(multiply(X0,X1,X2),inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)) = multiply(X1,multiply(X2,inverse(multiply(X0,X1,X8)),X8),X0),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f6,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,X3,multiply(multiply(X4,inverse(X4),X2),inverse(multiply(multiply(X5,X6,X7),X8,multiply(X5,X6,X9))),X10))),multiply(inverse(multiply(multiply(X5,X6,X7),X8,multiply(X5,X6,X9))),multiply(X10,X3,multiply(X6,multiply(X9,X8,X7),X5)),multiply(X4,inverse(X4),X2))) = X1,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f9,plain,
! [X0,X1,X2] : X0 = multiply(inverse(X1),multiply(X0,inverse(multiply(X1,inverse(X1),X2)),X2),X1),
inference(paramodulation,[status(thm)],[f3,f5]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,inverse(multiply(X2,X0,X3)),X3),X2) = multiply(X0,multiply(X1,inverse(multiply(X2,X0,X4)),X4),X2),
inference(paramodulation,[status(thm)],[f5,f5]) ).
fof(f52,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,X4),multiply(X5,inverse(multiply(X4,inverse(X4),X6)),X6),multiply(X2,X3,inverse(X4)))),multiply(X3,X5,X2)) = X1,
inference(paramodulation,[status(thm)],[f9,f3]) ).
fof(f60,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : multiply(inverse(multiply(multiply(X0,X1,X2),X3,multiply(X0,X1,X4))),multiply(X5,inverse(X6),multiply(X1,multiply(X4,X3,X2),X0)),multiply(X7,inverse(X7),X6)) = multiply(inverse(multiply(multiply(X0,X1,X2),X3,multiply(X0,X1,X4))),multiply(X5,inverse(multiply(multiply(X7,inverse(X7),X6),inverse(multiply(multiply(X0,X1,X2),X3,multiply(X0,X1,X4))),X8)),X8),multiply(X7,inverse(X7),X6)),
inference(paramodulation,[status(thm)],[f3,f10]) ).
fof(f79,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : multiply(multiply(X0,X1,X2),inverse(multiply(multiply(X3,X4,X5),inverse(multiply(X3,X4,X5)),multiply(X3,X4,X6))),multiply(X4,multiply(X6,inverse(multiply(X3,X4,X7)),X7),X3)) = multiply(X1,multiply(X2,inverse(multiply(X0,X1,X8)),X8),X0),
inference(paramodulation,[status(thm)],[f10,f5]) ).
fof(f80,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,X4),inverse(multiply(X2,X3,X4)),multiply(X2,X3,X5))),multiply(X3,multiply(X5,inverse(multiply(X2,X3,X6)),X6),X2)) = X1,
inference(paramodulation,[status(thm)],[f10,f3]) ).
fof(f315,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(multiply(X0,inverse(X0),X1),inverse(X2),multiply(inverse(X3),multiply(X4,inverse(multiply(multiply(X4,X3,X5),multiply(inverse(X3),inverse(multiply(X5,inverse(X5),X6)),X6),multiply(X4,X3,inverse(X5)))),X2),X3)) = X1,
inference(paramodulation,[status(thm)],[f52,f3]) ).
fof(f426,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] : multiply(multiply(X0,multiply(multiply(X1,X2,X3),inverse(multiply(multiply(X1,X2,X4),X0,X5)),X5),multiply(X1,X2,X4)),inverse(multiply(multiply(X6,X7,X8),inverse(multiply(X6,X7,X8)),multiply(X6,X7,X9))),multiply(X7,multiply(X9,inverse(multiply(X6,X7,X10)),X10),X6)) = multiply(X2,multiply(X3,X0,X4),X1),
inference(paramodulation,[status(thm)],[f5,f80]) ).
fof(f534,plain,
! [X0,X1,X2,X3,X4,X5] : X0 = multiply(inverse(multiply(multiply(X1,X2,X3),inverse(multiply(X1,X2,X3)),multiply(X1,X2,X4))),multiply(X0,inverse(multiply(X1,X2,X4)),multiply(X2,multiply(X4,inverse(multiply(X1,X2,X5)),X5),X1)),multiply(multiply(X1,X2,X3),inverse(multiply(X1,X2,X3)),multiply(X1,X2,X4))),
inference(paramodulation,[status(thm)],[f80,f9]) ).
fof(f556,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] : multiply(X0,inverse(multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5))),multiply(X2,multiply(X5,X4,X3),X1)) = multiply(inverse(multiply(multiply(X6,X7,X8),inverse(multiply(X6,X7,X8)),multiply(X6,X7,X9))),multiply(multiply(X7,multiply(X9,inverse(multiply(X6,X7,X10)),X10),X6),inverse(multiply(multiply(X11,inverse(X11),X0),inverse(multiply(multiply(X6,X7,X8),inverse(multiply(X6,X7,X8)),multiply(X6,X7,X9))),X12)),X12),multiply(X11,inverse(X11),X0)),
inference(paramodulation,[status(thm)],[f80,f5]) ).
fof(f557,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] : multiply(X0,inverse(multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5))),multiply(X2,multiply(X5,X4,X3),X1)) = multiply(inverse(multiply(multiply(X6,X7,X8),inverse(multiply(X6,X7,X8)),multiply(X6,X7,X9))),multiply(multiply(X7,multiply(X9,inverse(multiply(X6,X7,X10)),X10),X6),inverse(X0),multiply(X7,multiply(X9,inverse(multiply(X6,X7,X8)),X8),X6)),multiply(X11,inverse(X11),X0)),
inference(forward_demodulation,[status(thm)],[f60,f556]) ).
fof(f568,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),multiply(X3,inverse(X3),X4))),multiply(inverse(X2),X4,X2)) = X1,
inference(paramodulation,[status(thm)],[f52,f315]) ).
fof(f601,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] : multiply(X0,inverse(multiply(multiply(X1,X2,X3),inverse(multiply(X1,X2,X3)),multiply(X1,X2,X4))),multiply(X2,multiply(X4,inverse(multiply(X1,X2,X5)),X5),X1)) = multiply(inverse(X6),multiply(X7,inverse(multiply(multiply(X7,X6,X8),multiply(inverse(X6),inverse(multiply(X8,inverse(X8),X9)),X9),multiply(X7,X6,inverse(X8)))),multiply(X10,inverse(X10),X0)),X6),
inference(paramodulation,[status(thm)],[f315,f80]) ).
fof(f615,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(inverse(X2),multiply(X3,inverse(multiply(multiply(X3,X2,X4),multiply(inverse(X2),inverse(multiply(X4,inverse(X4),X5)),X5),multiply(X3,X2,inverse(X4)))),multiply(X6,inverse(X6),X7)),X2),X8,multiply(multiply(multiply(X6,inverse(X6),X7),inverse(multiply(X6,inverse(X6),X7)),multiply(inverse(X2),multiply(X3,inverse(multiply(multiply(X3,X2,X4),multiply(inverse(X2),inverse(multiply(X4,inverse(X4),X5)),X5),multiply(X3,X2,inverse(X4)))),multiply(X6,inverse(X6),X7)),X2)),inverse(multiply(multiply(X9,X10,X11),X12,multiply(X9,X10,X13))),X14))),multiply(inverse(multiply(multiply(X9,X10,X11),X12,multiply(X9,X10,X13))),multiply(X14,X8,multiply(X10,multiply(X13,X12,X11),X9)),X7)) = X1,
inference(paramodulation,[status(thm)],[f315,f6]) ).
fof(f616,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(inverse(X2),multiply(X3,inverse(multiply(multiply(X3,X2,X4),multiply(inverse(X2),inverse(multiply(X4,inverse(X4),X5)),X5),multiply(X3,X2,inverse(X4)))),multiply(X6,inverse(X6),X7)),X2),X8,multiply(X7,inverse(multiply(multiply(X9,X10,X11),X12,multiply(X9,X10,X13))),X14))),multiply(inverse(multiply(multiply(X9,X10,X11),X12,multiply(X9,X10,X13))),multiply(X14,X8,multiply(X10,multiply(X13,X12,X11),X9)),X7)) = X1,
inference(forward_demodulation,[status(thm)],[f315,f615]) ).
fof(f621,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] : multiply(X0,inverse(multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5))),multiply(X2,multiply(X5,X4,X3),X1)) = multiply(inverse(X6),multiply(X7,inverse(multiply(multiply(X7,X6,X8),multiply(inverse(X6),inverse(multiply(X8,inverse(X8),X9)),X9),multiply(X7,X6,inverse(X8)))),multiply(X10,inverse(X10),X0)),X6),
inference(paramodulation,[status(thm)],[f315,f3]) ).
fof(f656,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),multiply(X3,inverse(X3),X4))),multiply(inverse(X2),X4,X2)) = multiply(inverse(X5),X1,X5),
inference(paramodulation,[status(thm)],[f568,f568]) ).
fof(f657,plain,
! [X0,X1] : X0 = multiply(inverse(X1),X0,X1),
inference(forward_demodulation,[status(thm)],[f568,f656]) ).
fof(f669,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),inverse(inverse(X3)))),multiply(inverse(multiply(X3,inverse(X3),multiply(X2,inverse(X2),inverse(inverse(X3))))),X3,multiply(X3,inverse(X3),multiply(X2,inverse(X2),inverse(inverse(X3)))))) = X1,
inference(paramodulation,[status(thm)],[f568,f568]) ).
fof(f670,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),inverse(inverse(X3)))),X3) = X1,
inference(forward_demodulation,[status(thm)],[f657,f669]) ).
fof(f739,plain,
! [X0,X1,X2,X3] : X0 = multiply(inverse(multiply(X1,inverse(X1),multiply(X2,inverse(X2),X3))),multiply(X0,inverse(multiply(X2,inverse(X2),X3)),multiply(inverse(X1),X3,X1)),multiply(X1,inverse(X1),multiply(X2,inverse(X2),X3))),
inference(paramodulation,[status(thm)],[f568,f9]) ).
fof(f740,plain,
! [X0,X1,X2,X3] : X0 = multiply(X0,inverse(multiply(X1,inverse(X1),X2)),multiply(inverse(X3),X2,X3)),
inference(forward_demodulation,[status(thm)],[f657,f739]) ).
fof(f741,plain,
! [X0,X1,X2] : X0 = multiply(X0,inverse(multiply(X1,inverse(X1),X2)),X2),
inference(forward_demodulation,[status(thm)],[f657,f740]) ).
fof(f829,plain,
! [X0,X1,X2,X3,X4] : X0 = multiply(X0,inverse(multiply(X1,X2,X3)),multiply(X2,multiply(X3,inverse(multiply(X1,X2,X4)),X4),X1)),
inference(backward_demodulation,[status(thm)],[f657,f534]) ).
fof(f890,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] : multiply(X0,inverse(multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5))),multiply(X2,multiply(X5,X4,X3),X1)) = multiply(X6,inverse(multiply(multiply(X6,X7,X8),multiply(inverse(X7),inverse(multiply(X8,inverse(X8),X9)),X9),multiply(X6,X7,inverse(X8)))),multiply(X10,inverse(X10),X0)),
inference(backward_demodulation,[status(thm)],[f657,f621]) ).
fof(f891,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] : multiply(X0,inverse(multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5))),multiply(X2,multiply(X5,X4,X3),X1)) = multiply(X6,inverse(multiply(multiply(X6,X7,X8),inverse(X7),multiply(X6,X7,inverse(X8)))),multiply(X9,inverse(X9),X0)),
inference(forward_demodulation,[status(thm)],[f741,f890]) ).
fof(f894,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,inverse(multiply(multiply(X2,X3,X4),multiply(inverse(X3),inverse(multiply(X4,inverse(X4),X5)),X5),multiply(X2,X3,inverse(X4)))),multiply(X6,inverse(X6),X7)),X8,multiply(X7,inverse(multiply(multiply(X9,X10,X11),X12,multiply(X9,X10,X13))),X14))),multiply(inverse(multiply(multiply(X9,X10,X11),X12,multiply(X9,X10,X13))),multiply(X14,X8,multiply(X10,multiply(X13,X12,X11),X9)),X7)) = X1,
inference(backward_demodulation,[status(thm)],[f657,f616]) ).
fof(f895,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,inverse(multiply(multiply(X2,X3,X4),inverse(X3),multiply(X2,X3,inverse(X4)))),multiply(X5,inverse(X5),X6)),X7,multiply(X6,inverse(multiply(multiply(X8,X9,X10),X11,multiply(X8,X9,X12))),X13))),multiply(inverse(multiply(multiply(X8,X9,X10),X11,multiply(X8,X9,X12))),multiply(X13,X7,multiply(X9,multiply(X12,X11,X10),X8)),X6)) = X1,
inference(forward_demodulation,[status(thm)],[f741,f894]) ).
fof(f907,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] : multiply(X0,inverse(multiply(multiply(X1,X2,X3),inverse(multiply(X1,X2,X3)),multiply(X1,X2,X4))),multiply(X2,multiply(X4,inverse(multiply(X1,X2,X5)),X5),X1)) = multiply(X6,inverse(multiply(multiply(X6,X7,X8),multiply(inverse(X7),inverse(multiply(X8,inverse(X8),X9)),X9),multiply(X6,X7,inverse(X8)))),multiply(X10,inverse(X10),X0)),
inference(backward_demodulation,[status(thm)],[f657,f601]) ).
fof(f908,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] : multiply(X0,inverse(multiply(multiply(X1,X2,X3),inverse(multiply(X1,X2,X3)),multiply(X1,X2,X4))),multiply(X2,multiply(X4,inverse(multiply(X1,X2,X5)),X5),X1)) = multiply(X6,inverse(multiply(multiply(X6,X7,X8),inverse(X7),multiply(X6,X7,inverse(X8)))),multiply(X9,inverse(X9),X0)),
inference(forward_demodulation,[status(thm)],[f741,f907]) ).
fof(f1086,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,inverse(X2),X3),X4,multiply(X2,inverse(X2),X5))),multiply(X5,X4,X3)) = X1,
inference(paramodulation,[status(thm)],[f657,f3]) ).
fof(f1087,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(inverse(X1),inverse(multiply(X2,X0,X3)),X3),X2) = multiply(X0,inverse(multiply(X2,X0,X1)),X2),
inference(paramodulation,[status(thm)],[f657,f10]) ).
fof(f1094,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] : multiply(inverse(inverse(X0)),inverse(multiply(X1,X2,multiply(multiply(X3,inverse(X3),X1),inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),X9))),multiply(inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),multiply(X9,X2,multiply(X5,multiply(X8,X7,X6),X4)),multiply(X3,inverse(X3),X1))) = X0,
inference(paramodulation,[status(thm)],[f657,f6]) ).
fof(f1117,plain,
! [X0,X1] : inverse(X0) = inverse(multiply(X1,inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f657,f741]) ).
fof(f1118,plain,
! [X0,X1] : X0 = multiply(X0,inverse(inverse(inverse(X1))),X1),
inference(paramodulation,[status(thm)],[f657,f741]) ).
fof(f1274,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : multiply(X0,inverse(multiply(X1,X2,X3)),multiply(X2,multiply(X3,inverse(multiply(X1,X2,X4)),X4),X1)) = multiply(X5,inverse(multiply(multiply(X5,X6,X7),inverse(X6),multiply(X5,X6,inverse(X7)))),multiply(X8,inverse(X8),X0)),
inference(backward_demodulation,[status(thm)],[f1117,f908]) ).
fof(f1275,plain,
! [X0,X1,X2,X3,X4] : X0 = multiply(X1,inverse(multiply(multiply(X1,X2,X3),inverse(X2),multiply(X1,X2,inverse(X3)))),multiply(X4,inverse(X4),X0)),
inference(forward_demodulation,[status(thm)],[f829,f1274]) ).
fof(f1281,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] : multiply(X0,inverse(multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5))),multiply(X2,multiply(X5,X4,X3),X1)) = multiply(inverse(multiply(X6,X7,X8)),multiply(multiply(X7,multiply(X8,inverse(multiply(X6,X7,X9)),X9),X6),inverse(X0),multiply(X7,multiply(X8,inverse(multiply(X6,X7,X10)),X10),X6)),multiply(X11,inverse(X11),X0)),
inference(backward_demodulation,[status(thm)],[f1117,f557]) ).
fof(f1303,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] : multiply(multiply(X0,multiply(multiply(X1,X2,X3),inverse(multiply(multiply(X1,X2,X4),X0,X5)),X5),multiply(X1,X2,X4)),inverse(multiply(X6,X7,X8)),multiply(X7,multiply(X8,inverse(multiply(X6,X7,X9)),X9),X6)) = multiply(X2,multiply(X3,X0,X4),X1),
inference(backward_demodulation,[status(thm)],[f1117,f426]) ).
fof(f1304,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,multiply(multiply(X1,X2,X3),inverse(multiply(multiply(X1,X2,X4),X0,X5)),X5),multiply(X1,X2,X4)) = multiply(X2,multiply(X3,X0,X4),X1),
inference(forward_demodulation,[status(thm)],[f829,f1303]) ).
fof(f1311,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(multiply(X0,X1,X2),inverse(multiply(X3,X4,X5)),multiply(X4,multiply(X5,inverse(multiply(X3,X4,X6)),X6),X3)) = multiply(X1,multiply(X2,inverse(multiply(X0,X1,X7)),X7),X0),
inference(backward_demodulation,[status(thm)],[f1117,f79]) ).
fof(f1312,plain,
! [X0,X1,X2,X3] : multiply(X0,X1,X2) = multiply(X1,multiply(X2,inverse(multiply(X0,X1,X3)),X3),X0),
inference(forward_demodulation,[status(thm)],[f829,f1311]) ).
fof(f1316,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X0),X1),inverse(inverse(inverse(X2))),X2) = X1,
inference(backward_demodulation,[status(thm)],[f1117,f670]) ).
fof(f1317,plain,
! [X0,X1] : multiply(X0,inverse(X0),X1) = X1,
inference(forward_demodulation,[status(thm)],[f1118,f1316]) ).
fof(f1548,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,X3,multiply(X2,inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),X9))),multiply(inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),multiply(X9,X3,multiply(X5,multiply(X8,X7,X6),X4)),X2)) = X1,
inference(backward_demodulation,[status(thm)],[f1275,f895]) ).
fof(f1549,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : multiply(X0,inverse(multiply(X1,X2,multiply(X1,inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),X8))),multiply(inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X8,X2,multiply(X4,multiply(X7,X6,X5),X3)),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f1317,f1548]) ).
fof(f1553,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5))),multiply(X2,multiply(X5,X4,X3),X1)) = X0,
inference(backward_demodulation,[status(thm)],[f1275,f891]) ).
fof(f1667,plain,
! [X0,X1,X2] : multiply(X0,X1,inverse(X2)) = multiply(X1,inverse(multiply(X0,X1,X2)),X0),
inference(backward_demodulation,[status(thm)],[f1312,f1087]) ).
fof(f1668,plain,
! [X0,X1,X2,X3,X4] : multiply(multiply(X0,X1,X2),X3,multiply(X0,X1,X4)) = multiply(X1,multiply(X4,X3,X2),X0),
inference(backward_demodulation,[status(thm)],[f1312,f1304]) ).
fof(f1734,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] : multiply(X0,inverse(multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5))),multiply(X2,multiply(X5,X4,X3),X1)) = multiply(inverse(multiply(X6,X7,X8)),multiply(multiply(X7,multiply(X8,inverse(multiply(X6,X7,X9)),X9),X6),inverse(X0),multiply(X6,X7,X8)),multiply(X10,inverse(X10),X0)),
inference(backward_demodulation,[status(thm)],[f1312,f1281]) ).
fof(f1735,plain,
! [X0,X1,X2,X3,X4,X5] : X0 = multiply(inverse(multiply(X1,X2,X3)),multiply(multiply(X2,multiply(X3,inverse(multiply(X1,X2,X4)),X4),X1),inverse(X0),multiply(X1,X2,X3)),multiply(X5,inverse(X5),X0)),
inference(forward_demodulation,[status(thm)],[f1553,f1734]) ).
fof(f1736,plain,
! [X0,X1,X2,X3,X4] : X0 = multiply(inverse(multiply(X1,X2,X3)),multiply(multiply(X1,X2,X3),inverse(X0),multiply(X1,X2,X3)),multiply(X4,inverse(X4),X0)),
inference(forward_demodulation,[status(thm)],[f1312,f1735]) ).
fof(f1737,plain,
! [X0,X1,X2,X3,X4] : X0 = multiply(inverse(multiply(X1,X2,X3)),multiply(X2,multiply(X3,inverse(X0),X3),X1),multiply(X4,inverse(X4),X0)),
inference(forward_demodulation,[status(thm)],[f1668,f1736]) ).
fof(f1738,plain,
! [X0,X1,X2,X3] : X0 = multiply(inverse(multiply(X1,X2,X3)),multiply(X2,multiply(X3,inverse(X0),X3),X1),X0),
inference(forward_demodulation,[status(thm)],[f1317,f1737]) ).
fof(f2181,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] : multiply(inverse(inverse(X0)),inverse(multiply(X1,X2,multiply(multiply(X3,inverse(X3),X1),inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),X9))),multiply(inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),multiply(X9,X2,multiply(X5,multiply(X8,X7,X6),X4)),X1)) = X0,
inference(backward_demodulation,[status(thm)],[f1317,f1094]) ).
fof(f2182,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] : multiply(inverse(inverse(X0)),inverse(multiply(X1,X2,multiply(X1,inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),X8))),multiply(inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X8,X2,multiply(X4,multiply(X7,X6,X5),X3)),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f1317,f2181]) ).
fof(f2183,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f1549,f2182]) ).
fof(f2189,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,inverse(X2),X3),X4,X5)),multiply(X5,X4,X3)) = X1,
inference(backward_demodulation,[status(thm)],[f1317,f1086]) ).
fof(f2190,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(multiply(X1,inverse(X1),X2),X3,X4)),multiply(X4,X3,X2)) = X0,
inference(forward_demodulation,[status(thm)],[f1317,f2189]) ).
fof(f2191,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(X1,X2,X3)),multiply(X3,X2,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f1317,f2190]) ).
fof(f2624,plain,
multiply(e,multiply(c,b,a),d) != multiply(d,e,multiply(a,b,c)),
inference(backward_demodulation,[status(thm)],[f1668,f4]) ).
fof(f2669,plain,
! [X0,X1] : X0 = multiply(X1,X0,inverse(X1)),
inference(paramodulation,[status(thm)],[f2183,f657]) ).
fof(f2987,plain,
! [X0,X1] : multiply(inverse(X0),X0,X1) = X1,
inference(paramodulation,[status(thm)],[f2183,f1317]) ).
fof(f3231,plain,
! [X0,X1,X2] : multiply(X0,X1,X2) = inverse(inverse(multiply(X2,X1,X0))),
inference(paramodulation,[status(thm)],[f2987,f2191]) ).
fof(f3232,plain,
! [X0,X1,X2] : multiply(X0,X1,X2) = multiply(X2,X1,X0),
inference(forward_demodulation,[status(thm)],[f2183,f3231]) ).
fof(f3338,plain,
multiply(e,multiply(a,b,c),d) != multiply(d,e,multiply(a,b,c)),
inference(paramodulation,[status(thm)],[f3232,f2624]) ).
fof(f3339,plain,
multiply(d,multiply(a,b,c),e) != multiply(d,e,multiply(a,b,c)),
inference(forward_demodulation,[status(thm)],[f3232,f3338]) ).
fof(f3340,plain,
multiply(d,multiply(a,b,c),e) != multiply(multiply(a,b,c),e,d),
inference(forward_demodulation,[status(thm)],[f3232,f3339]) ).
fof(f3455,plain,
! [X0,X1] : multiply(X0,X1,inverse(inverse(X0))) = multiply(X1,inverse(X1),X0),
inference(paramodulation,[status(thm)],[f2669,f1667]) ).
fof(f3456,plain,
! [X0,X1] : multiply(X0,X1,X0) = multiply(X1,inverse(X1),X0),
inference(forward_demodulation,[status(thm)],[f2183,f3455]) ).
fof(f3457,plain,
! [X0,X1] : multiply(X0,X1,X0) = X0,
inference(forward_demodulation,[status(thm)],[f1317,f3456]) ).
fof(f3573,plain,
! [X0,X1,X2,X3] : X0 = multiply(inverse(multiply(X1,X2,X3)),multiply(X2,X3,X1),X0),
inference(backward_demodulation,[status(thm)],[f3457,f1738]) ).
fof(f3902,plain,
! [X0,X1,X2] : multiply(X0,X1,X2) = multiply(X1,X2,X0),
inference(paramodulation,[status(thm)],[f657,f3573]) ).
fof(f3903,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f3340,f3902]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO067-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n026.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 : Mon Apr 29 22:53:49 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 17.59/2.61 % Refutation found
% 17.59/2.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 17.59/2.61 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 18.28/2.65 % Elapsed time: 2.287960 seconds
% 18.28/2.65 % CPU time: 17.979416 seconds
% 18.28/2.65 % Total memory used: 308.564 MB
% 18.28/2.65 % Net memory used: 280.559 MB
%------------------------------------------------------------------------------