TSTP Solution File: GRP410-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP410-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 6.39s 1.18s
% Output : CNFRefutation 6.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 2
% Syntax : Number of formulae : 134 ( 134 unt; 0 def)
% Number of atoms : 134 ( 133 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 18 ( 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 : 269 ( 269 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : multiply(multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(C))),inverse(multiply(inverse(C),C))) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2] : multiply(multiply(inverse(multiply(X0,inverse(multiply(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(multiply(inverse(X0),multiply(multiply(inverse(multiply(X1,inverse(multiply(X0,X2)))),multiply(X1,inverse(X2))),inverse(X2))),inverse(multiply(inverse(X2),X2))) = inverse(X2),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f6,plain,
! [X0,X1,X2,X3] : multiply(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(X1,X2)))),multiply(X3,inverse(X2))),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f7,plain,
! [X0,X1,X2,X3] : multiply(multiply(inverse(multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))),inverse(multiply(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(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2)))),multiply(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(inverse(multiply(inverse(X2),X2))),
inference(paramodulation,[status(thm)],[f3,f5]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : multiply(multiply(inverse(X0),multiply(multiply(inverse(multiply(multiply(inverse(multiply(X1,inverse(multiply(X2,X3)))),multiply(X1,inverse(X3))),inverse(multiply(X0,multiply(inverse(X3),X3))))),X2),inverse(multiply(inverse(X3),X3)))),inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))) = inverse(multiply(inverse(X3),X3)),
inference(paramodulation,[status(thm)],[f3,f5]) ).
fof(f32,plain,
! [X0,X1,X2] : multiply(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(b2,inverse(multiply(X1,X2)))),multiply(b2,inverse(X2))),
inference(equality_split,[status(esa)],[f6]) ).
fof(f33,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(b2,inverse(multiply(X1,X2)))),multiply(b2,inverse(X2))),
inference(equality_split,[status(esa)],[f6]) ).
fof(f34,plain,
! [X0,X1] : X0 = multiply(inverse(multiply(b2,inverse(multiply(multiply(X0,inverse(multiply(inverse(X1),X1))),X1)))),multiply(b2,inverse(X1))),
inference(paramodulation,[status(thm)],[f3,f32]) ).
fof(f51,plain,
! [X0,X1,X2,X3] : multiply(multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(b2,inverse(multiply(X1,X2)))),multiply(b2,inverse(X2)))))),multiply(X0,inverse(inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))))),inverse(multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2))))))) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(multiply(inverse(X2),X2))))),
inference(paramodulation,[status(thm)],[f32,f3]) ).
fof(f52,plain,
! [X0,X1,X2] : multiply(inverse(multiply(b2,inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(X0,X1)))),multiply(b2,inverse(X1))),inverse(multiply(inverse(X1),X1)))))),multiply(b2,inverse(inverse(multiply(inverse(X1),X1))))) = multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(inverse(multiply(inverse(X1),X1))))),
inference(forward_demodulation,[status(thm)],[f32,f51]) ).
fof(f53,plain,
! [X0,X1,X2] : multiply(inverse(multiply(b2,inverse(X0))),multiply(b2,inverse(inverse(multiply(inverse(X1),X1))))) = multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(inverse(multiply(inverse(X1),X1))))),
inference(forward_demodulation,[status(thm)],[f3,f52]) ).
fof(f66,plain,
! [X0,X1,X2] : multiply(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(b2,inverse(X2))))),inverse(multiply(inverse(multiply(b2,inverse(X2))),multiply(b2,inverse(X2))))) = inverse(multiply(b2,inverse(multiply(multiply(X1,inverse(multiply(inverse(X2),X2))),X2)))),
inference(paramodulation,[status(thm)],[f34,f3]) ).
fof(f69,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(X3,inverse(X1))),multiply(X3,inverse(inverse(multiply(inverse(X2),X2))))),
inference(paramodulation,[status(thm)],[f53,f53]) ).
fof(f118,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2))))) = multiply(inverse(multiply(b2,inverse(X1))),multiply(b2,inverse(inverse(multiply(inverse(X2),X2))))),
inference(equality_split,[status(esa)],[f69]) ).
fof(f139,plain,
! [X0,X1,X2] : multiply(multiply(inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(X0,X1)))),multiply(b2,inverse(X1))),inverse(multiply(X2,multiply(inverse(X1),X1))))),X0),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f33,f7]) ).
fof(f169,plain,
! [X0,X1,X2,X3] : multiply(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))))) = multiply(inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(X3,X2)))),multiply(b2,inverse(X2))),inverse(multiply(X1,multiply(inverse(X2),X2))))),X3),
inference(paramodulation,[status(thm)],[f139,f3]) ).
fof(f170,plain,
! [X0,X1,X2] : multiply(inverse(multiply(b2,inverse(multiply(X0,multiply(inverse(X1),X1))))),multiply(b2,inverse(multiply(inverse(X1),X1)))) = multiply(inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(X2,X1)))),multiply(b2,inverse(X1))),inverse(multiply(X0,multiply(inverse(X1),X1))))),X2),
inference(forward_demodulation,[status(thm)],[f32,f169]) ).
fof(f177,plain,
! [X0,X1,X2] : multiply(multiply(inverse(multiply(inverse(multiply(b2,inverse(multiply(X0,X1)))),multiply(b2,inverse(X1)))),multiply(multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,inverse(inverse(multiply(inverse(X1),X1))))),inverse(inverse(multiply(inverse(X1),X1))))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))) = inverse(inverse(multiply(inverse(X1),X1))),
inference(forward_demodulation,[status(thm)],[f33,f10]) ).
fof(f178,plain,
! [X0,X1] : multiply(multiply(inverse(multiply(inverse(multiply(b2,inverse(multiply(X0,X1)))),multiply(b2,inverse(X1)))),multiply(multiply(inverse(multiply(b2,inverse(X0))),multiply(b2,inverse(inverse(multiply(inverse(X1),X1))))),inverse(inverse(multiply(inverse(X1),X1))))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))) = inverse(inverse(multiply(inverse(X1),X1))),
inference(forward_demodulation,[status(thm)],[f118,f177]) ).
fof(f217,plain,
! [X0,X1] : X0 = inverse(multiply(b2,inverse(multiply(multiply(multiply(X0,multiply(b2,inverse(X1))),inverse(multiply(inverse(X1),X1))),X1)))),
inference(paramodulation,[status(thm)],[f3,f66]) ).
fof(f234,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(b2,inverse(X2))))) = multiply(inverse(multiply(b2,inverse(multiply(inverse(multiply(b2,inverse(multiply(multiply(X1,inverse(multiply(inverse(X2),X2))),X2)))),multiply(b2,inverse(X2)))))),multiply(b2,inverse(multiply(b2,inverse(X2))))),
inference(paramodulation,[status(thm)],[f66,f34]) ).
fof(f235,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(b2,inverse(X2))))) = multiply(inverse(multiply(b2,inverse(X1))),multiply(b2,inverse(multiply(b2,inverse(X2))))),
inference(forward_demodulation,[status(thm)],[f34,f234]) ).
fof(f440,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)) = multiply(inverse(multiply(b2,inverse(X1))),multiply(b2,inverse(multiply(b2,inverse(multiply(multiply(multiply(X2,multiply(b2,inverse(X3))),inverse(multiply(inverse(X3),X3))),X3)))))),
inference(paramodulation,[status(thm)],[f217,f235]) ).
fof(f441,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)) = multiply(inverse(multiply(b2,inverse(X1))),multiply(b2,X2)),
inference(forward_demodulation,[status(thm)],[f217,f440]) ).
fof(f541,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),multiply(multiply(inverse(multiply(X1,inverse(multiply(X0,X2)))),multiply(X1,inverse(X2))),X3)) = multiply(inverse(multiply(b2,inverse(multiply(inverse(X2),X2)))),multiply(b2,X3)),
inference(paramodulation,[status(thm)],[f3,f441]) ).
fof(f545,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(b2,inverse(multiply(b2,inverse(multiply(multiply(multiply(X1,multiply(b2,inverse(X3))),inverse(multiply(inverse(X3),X3))),X3)))))),multiply(b2,X2)),
inference(paramodulation,[status(thm)],[f217,f441]) ).
fof(f546,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),multiply(X0,X2)) = multiply(inverse(multiply(b2,X1)),multiply(b2,X2)),
inference(forward_demodulation,[status(thm)],[f217,f545]) ).
fof(f644,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,inverse(X2))),X3)),X1) = multiply(inverse(multiply(b2,X3)),multiply(b2,inverse(multiply(inverse(X2),X2)))),
inference(paramodulation,[status(thm)],[f3,f546]) ).
fof(f649,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)],[f546,f546]) ).
fof(f657,plain,
! [X0,X1,X2] : X0 = inverse(multiply(b2,inverse(multiply(multiply(multiply(X0,multiply(b2,inverse(multiply(X1,X2)))),inverse(multiply(inverse(multiply(b2,X2)),multiply(b2,X2)))),multiply(X1,X2))))),
inference(paramodulation,[status(thm)],[f546,f217]) ).
fof(f666,plain,
! [X0,X1,X2] : X0 = multiply(inverse(multiply(b2,inverse(multiply(multiply(X0,inverse(multiply(inverse(multiply(b2,X1)),multiply(b2,X1)))),multiply(X2,X1))))),multiply(b2,inverse(multiply(X2,X1)))),
inference(paramodulation,[status(thm)],[f546,f34]) ).
fof(f672,plain,
! [X0,X1,X2,X3] : multiply(multiply(inverse(multiply(X0,inverse(multiply(X1,multiply(X2,X3))))),multiply(X0,inverse(multiply(X2,X3)))),inverse(multiply(inverse(multiply(b2,X3)),multiply(b2,X3)))) = X1,
inference(paramodulation,[status(thm)],[f546,f3]) ).
fof(f719,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)],[f649]) ).
fof(f726,plain,
! [X0,X1,X2] : multiply(multiply(inverse(X0),multiply(multiply(inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(X1,X2)))),multiply(b2,inverse(X2))),inverse(multiply(X0,multiply(inverse(X2),X2))))),X1),inverse(multiply(inverse(X2),X2)))),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))) = inverse(multiply(inverse(X2),X2)),
inference(forward_demodulation,[status(thm)],[f719,f12]) ).
fof(f727,plain,
! [X0,X1,X2] : multiply(multiply(inverse(X0),multiply(multiply(inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(X1,X2)))),multiply(b2,inverse(X2))),inverse(multiply(X0,multiply(inverse(X2),X2))))),X1),inverse(multiply(inverse(X2),X2)))),inverse(multiply(inverse(multiply(b2,X2)),multiply(b2,X2)))) = inverse(multiply(inverse(X2),X2)),
inference(forward_demodulation,[status(thm)],[f719,f726]) ).
fof(f1060,plain,
! [X0,X1,X2] : multiply(multiply(inverse(multiply(b2,inverse(multiply(X0,multiply(X1,X2))))),multiply(b2,inverse(multiply(X1,X2)))),inverse(multiply(inverse(multiply(b2,X2)),multiply(b2,X2)))) = X0,
inference(forward_demodulation,[status(thm)],[f719,f672]) ).
fof(f1997,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(multiply(inverse(multiply(b2,inverse(multiply(X0,X1)))),multiply(b2,inverse(X1))),X2)) = multiply(inverse(multiply(b2,inverse(multiply(inverse(X1),X1)))),multiply(b2,X2)),
inference(forward_demodulation,[status(thm)],[f719,f541]) ).
fof(f2002,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(multiply(b2,inverse(multiply(inverse(X1),X1)))),multiply(b2,inverse(multiply(inverse(X1),X1)))),
inference(paramodulation,[status(thm)],[f3,f1997]) ).
fof(f2098,plain,
! [X0] : multiply(inverse(multiply(b2,inverse(multiply(inverse(X0),X0)))),multiply(b2,inverse(multiply(inverse(X0),X0)))) = multiply(inverse(b2),b2),
inference(equality_split,[status(esa)],[f2002]) ).
fof(f2099,plain,
! [X0] : multiply(inverse(X0),X0) = multiply(inverse(b2),b2),
inference(equality_split,[status(esa)],[f2002]) ).
fof(f2446,plain,
! [X0,X1,X2] : multiply(inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(X0,X1)))),multiply(b2,inverse(X1))),X2)),X0) = multiply(inverse(multiply(b2,X2)),multiply(b2,inverse(multiply(inverse(X1),X1)))),
inference(forward_demodulation,[status(thm)],[f719,f644]) ).
fof(f2447,plain,
! [X0,X1,X2] : multiply(inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(X0,X1)))),multiply(b2,inverse(X1))),X2)),X0) = multiply(inverse(multiply(b2,X2)),multiply(b2,inverse(multiply(inverse(b2),b2)))),
inference(forward_demodulation,[status(thm)],[f2099,f2446]) ).
fof(f2453,plain,
! [X0,X1] : multiply(multiply(inverse(X0),multiply(multiply(inverse(multiply(b2,inverse(multiply(X0,multiply(inverse(X1),X1))))),multiply(b2,inverse(multiply(inverse(b2),b2)))),inverse(multiply(inverse(X1),X1)))),inverse(multiply(inverse(multiply(b2,X1)),multiply(b2,X1)))) = inverse(multiply(inverse(X1),X1)),
inference(backward_demodulation,[status(thm)],[f2447,f727]) ).
fof(f2454,plain,
! [X0,X1] : multiply(multiply(inverse(X0),multiply(multiply(inverse(multiply(b2,inverse(multiply(X0,multiply(inverse(b2),b2))))),multiply(b2,inverse(multiply(inverse(b2),b2)))),inverse(multiply(inverse(X1),X1)))),inverse(multiply(inverse(multiply(b2,X1)),multiply(b2,X1)))) = inverse(multiply(inverse(X1),X1)),
inference(forward_demodulation,[status(thm)],[f2099,f2453]) ).
fof(f2455,plain,
! [X0] : multiply(multiply(inverse(multiply(b2,inverse(multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(b2),b2))))),multiply(b2,inverse(multiply(inverse(X0),X0)))),inverse(multiply(inverse(multiply(b2,X0)),multiply(b2,X0)))) = inverse(multiply(inverse(X0),X0)),
inference(forward_demodulation,[status(thm)],[f1997,f2454]) ).
fof(f2456,plain,
! [X0] : multiply(multiply(inverse(multiply(b2,inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,b2))))),multiply(b2,inverse(multiply(inverse(X0),X0)))),inverse(multiply(inverse(multiply(b2,X0)),multiply(b2,X0)))) = inverse(multiply(inverse(X0),X0)),
inference(forward_demodulation,[status(thm)],[f719,f2455]) ).
fof(f2457,plain,
! [X0] : multiply(multiply(inverse(multiply(b2,inverse(multiply(inverse(b2),b2)))),multiply(b2,inverse(multiply(inverse(X0),X0)))),inverse(multiply(inverse(multiply(b2,X0)),multiply(b2,X0)))) = inverse(multiply(inverse(X0),X0)),
inference(forward_demodulation,[status(thm)],[f2099,f2456]) ).
fof(f2458,plain,
! [X0] : multiply(multiply(inverse(multiply(b2,inverse(multiply(inverse(b2),b2)))),multiply(b2,inverse(multiply(inverse(b2),b2)))),inverse(multiply(inverse(multiply(b2,X0)),multiply(b2,X0)))) = inverse(multiply(inverse(X0),X0)),
inference(forward_demodulation,[status(thm)],[f2099,f2457]) ).
fof(f2459,plain,
! [X0] : multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(multiply(b2,X0)),multiply(b2,X0)))) = inverse(multiply(inverse(X0),X0)),
inference(forward_demodulation,[status(thm)],[f2098,f2458]) ).
fof(f2460,plain,
! [X0] : multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(b2),b2))) = inverse(multiply(inverse(X0),X0)),
inference(forward_demodulation,[status(thm)],[f2099,f2459]) ).
fof(f2461,plain,
multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(b2),b2))) = inverse(multiply(inverse(b2),b2)),
inference(forward_demodulation,[status(thm)],[f2099,f2460]) ).
fof(f2462,plain,
! [X0,X1] : multiply(multiply(inverse(multiply(b2,inverse(multiply(X0,multiply(inverse(X1),X1))))),multiply(b2,inverse(multiply(inverse(b2),b2)))),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)))) = X0,
inference(backward_demodulation,[status(thm)],[f2447,f139]) ).
fof(f2463,plain,
! [X0,X1] : multiply(multiply(inverse(multiply(b2,inverse(multiply(X0,multiply(inverse(b2),b2))))),multiply(b2,inverse(multiply(inverse(b2),b2)))),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)))) = X0,
inference(forward_demodulation,[status(thm)],[f2099,f2462]) ).
fof(f2464,plain,
! [X0,X1] : multiply(multiply(inverse(multiply(b2,inverse(multiply(X0,multiply(inverse(b2),b2))))),multiply(b2,inverse(multiply(inverse(b2),b2)))),inverse(multiply(inverse(multiply(b2,X1)),multiply(b2,X1)))) = X0,
inference(forward_demodulation,[status(thm)],[f719,f2463]) ).
fof(f2465,plain,
! [X0] : multiply(multiply(inverse(multiply(b2,inverse(multiply(X0,multiply(inverse(b2),b2))))),multiply(b2,inverse(multiply(inverse(b2),b2)))),inverse(multiply(inverse(b2),b2))) = X0,
inference(forward_demodulation,[status(thm)],[f2099,f2464]) ).
fof(f2636,plain,
multiply(multiply(inverse(inverse(multiply(inverse(b2),b2))),multiply(multiply(inverse(b2),b2),inverse(b2))),inverse(multiply(inverse(b2),b2))) = inverse(b2),
inference(paramodulation,[status(thm)],[f2461,f3]) ).
fof(f2781,plain,
! [X0] : X0 = multiply(inverse(multiply(b2,inverse(multiply(multiply(X0,inverse(multiply(inverse(multiply(b2,inverse(multiply(inverse(b2),b2)))),multiply(b2,inverse(multiply(inverse(b2),b2)))))),multiply(multiply(inverse(inverse(multiply(inverse(b2),b2))),multiply(multiply(inverse(b2),b2),inverse(b2))),inverse(multiply(inverse(b2),b2))))))),multiply(b2,inverse(inverse(b2)))),
inference(paramodulation,[status(thm)],[f2636,f666]) ).
fof(f2782,plain,
! [X0] : X0 = multiply(inverse(multiply(b2,inverse(multiply(multiply(X0,inverse(multiply(inverse(b2),b2))),multiply(multiply(inverse(inverse(multiply(inverse(b2),b2))),multiply(multiply(inverse(b2),b2),inverse(b2))),inverse(multiply(inverse(b2),b2))))))),multiply(b2,inverse(inverse(b2)))),
inference(forward_demodulation,[status(thm)],[f2098,f2781]) ).
fof(f2783,plain,
! [X0] : X0 = multiply(inverse(multiply(b2,inverse(multiply(multiply(X0,inverse(multiply(inverse(b2),b2))),inverse(b2))))),multiply(b2,inverse(inverse(b2)))),
inference(forward_demodulation,[status(thm)],[f2636,f2782]) ).
fof(f2860,plain,
! [X0,X1] : X0 = multiply(inverse(multiply(b2,inverse(multiply(multiply(X0,inverse(multiply(inverse(multiply(b2,multiply(b2,inverse(inverse(b2))))),multiply(b2,multiply(b2,inverse(inverse(b2))))))),multiply(inverse(multiply(b2,inverse(multiply(multiply(X1,inverse(multiply(inverse(b2),b2))),inverse(b2))))),multiply(b2,inverse(inverse(b2)))))))),multiply(b2,inverse(X1))),
inference(paramodulation,[status(thm)],[f2783,f666]) ).
fof(f2861,plain,
! [X0,X1] : X0 = multiply(inverse(multiply(b2,inverse(multiply(multiply(X0,inverse(multiply(inverse(b2),b2))),multiply(inverse(multiply(b2,inverse(multiply(multiply(X1,inverse(multiply(inverse(b2),b2))),inverse(b2))))),multiply(b2,inverse(inverse(b2)))))))),multiply(b2,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f2099,f2860]) ).
fof(f2862,plain,
! [X0,X1] : X0 = multiply(inverse(multiply(b2,inverse(multiply(multiply(X0,inverse(multiply(inverse(b2),b2))),X1)))),multiply(b2,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f2783,f2861]) ).
fof(f2866,plain,
! [X0,X1] : X0 = inverse(multiply(b2,inverse(multiply(multiply(multiply(X0,multiply(b2,inverse(multiply(inverse(multiply(b2,inverse(multiply(multiply(X1,inverse(multiply(inverse(b2),b2))),inverse(b2))))),multiply(b2,inverse(inverse(b2))))))),inverse(multiply(inverse(multiply(b2,multiply(b2,inverse(inverse(b2))))),multiply(b2,multiply(b2,inverse(inverse(b2))))))),X1)))),
inference(paramodulation,[status(thm)],[f2783,f657]) ).
fof(f2867,plain,
! [X0,X1] : X0 = inverse(multiply(b2,inverse(multiply(multiply(multiply(X0,multiply(b2,inverse(X1))),inverse(multiply(inverse(multiply(b2,multiply(b2,inverse(inverse(b2))))),multiply(b2,multiply(b2,inverse(inverse(b2))))))),X1)))),
inference(forward_demodulation,[status(thm)],[f2783,f2866]) ).
fof(f2868,plain,
! [X0,X1] : X0 = inverse(multiply(b2,inverse(multiply(multiply(multiply(X0,multiply(b2,inverse(X1))),inverse(multiply(inverse(b2),b2))),X1)))),
inference(forward_demodulation,[status(thm)],[f2099,f2867]) ).
fof(f2876,plain,
! [X0,X1] : multiply(multiply(inverse(multiply(b2,inverse(multiply(X0,multiply(inverse(multiply(b2,inverse(multiply(multiply(X1,inverse(multiply(inverse(b2),b2))),inverse(b2))))),multiply(b2,inverse(inverse(b2)))))))),multiply(b2,inverse(X1))),inverse(multiply(inverse(multiply(b2,multiply(b2,inverse(inverse(b2))))),multiply(b2,multiply(b2,inverse(inverse(b2))))))) = X0,
inference(paramodulation,[status(thm)],[f2783,f1060]) ).
fof(f2877,plain,
! [X0,X1] : multiply(multiply(inverse(multiply(b2,inverse(multiply(X0,X1)))),multiply(b2,inverse(X1))),inverse(multiply(inverse(multiply(b2,multiply(b2,inverse(inverse(b2))))),multiply(b2,multiply(b2,inverse(inverse(b2))))))) = X0,
inference(forward_demodulation,[status(thm)],[f2783,f2876]) ).
fof(f2878,plain,
! [X0,X1] : multiply(multiply(inverse(multiply(b2,inverse(multiply(X0,X1)))),multiply(b2,inverse(X1))),inverse(multiply(inverse(b2),b2))) = X0,
inference(forward_demodulation,[status(thm)],[f2099,f2877]) ).
fof(f3084,plain,
! [X0,X1] : multiply(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(b2),b2))))),inverse(multiply(inverse(inverse(multiply(inverse(b2),b2))),inverse(multiply(inverse(b2),b2))))) = multiply(inverse(multiply(b2,inverse(multiply(X1,multiply(inverse(b2),b2))))),multiply(b2,inverse(multiply(inverse(b2),b2)))),
inference(paramodulation,[status(thm)],[f2465,f3]) ).
fof(f3085,plain,
! [X0] : multiply(inverse(multiply(b2,inverse(multiply(X0,b2)))),multiply(b2,inverse(b2))) = multiply(inverse(multiply(b2,inverse(multiply(X0,multiply(inverse(b2),b2))))),multiply(b2,inverse(multiply(inverse(b2),b2)))),
inference(forward_demodulation,[status(thm)],[f32,f3084]) ).
fof(f3489,plain,
multiply(multiply(inverse(multiply(b2,inverse(inverse(multiply(inverse(b2),b2))))),multiply(b2,inverse(inverse(multiply(inverse(b2),b2))))),inverse(multiply(inverse(b2),b2))) = multiply(inverse(b2),b2),
inference(paramodulation,[status(thm)],[f2461,f2878]) ).
fof(f3490,plain,
multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(b2),b2))) = multiply(inverse(b2),b2),
inference(forward_demodulation,[status(thm)],[f2099,f3489]) ).
fof(f3491,plain,
inverse(multiply(inverse(b2),b2)) = multiply(inverse(b2),b2),
inference(forward_demodulation,[status(thm)],[f2461,f3490]) ).
fof(f3548,plain,
! [X0,X1,X2] : multiply(inverse(multiply(b2,inverse(multiply(X0,X1)))),multiply(b2,inverse(X1))) = multiply(inverse(multiply(b2,inverse(multiply(X0,X2)))),multiply(b2,inverse(X2))),
inference(paramodulation,[status(thm)],[f2878,f2862]) ).
fof(f3611,plain,
! [X0,X1] : multiply(multiply(inverse(multiply(b2,inverse(multiply(X0,X1)))),multiply(b2,inverse(X1))),multiply(inverse(b2),b2)) = X0,
inference(backward_demodulation,[status(thm)],[f3491,f2878]) ).
fof(f3612,plain,
! [X0,X1] : X0 = inverse(multiply(b2,inverse(multiply(multiply(multiply(X0,multiply(b2,inverse(X1))),multiply(inverse(b2),b2)),X1)))),
inference(backward_demodulation,[status(thm)],[f3491,f2868]) ).
fof(f3617,plain,
! [X0,X1] : X0 = multiply(inverse(multiply(b2,inverse(multiply(multiply(X0,multiply(inverse(b2),b2)),X1)))),multiply(b2,inverse(X1))),
inference(backward_demodulation,[status(thm)],[f3491,f2862]) ).
fof(f3622,plain,
multiply(multiply(inverse(b2),b2),inverse(multiply(inverse(b2),b2))) = multiply(inverse(b2),b2),
inference(backward_demodulation,[status(thm)],[f3491,f2461]) ).
fof(f3623,plain,
multiply(multiply(inverse(b2),b2),multiply(inverse(b2),b2)) = multiply(inverse(b2),b2),
inference(forward_demodulation,[status(thm)],[f3491,f3622]) ).
fof(f4363,plain,
! [X0] : multiply(inverse(multiply(inverse(b2),b2)),multiply(multiply(inverse(multiply(b2,inverse(multiply(inverse(b2),b2)))),multiply(b2,inverse(multiply(inverse(b2),b2)))),X0)) = multiply(inverse(multiply(b2,inverse(multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(b2),b2))))),multiply(b2,X0)),
inference(paramodulation,[status(thm)],[f3623,f1997]) ).
fof(f4364,plain,
! [X0] : multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(multiply(b2,inverse(multiply(inverse(b2),b2)))),multiply(b2,inverse(multiply(inverse(b2),b2)))),X0)) = multiply(inverse(multiply(b2,inverse(multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(b2),b2))))),multiply(b2,X0)),
inference(forward_demodulation,[status(thm)],[f3491,f4363]) ).
fof(f4365,plain,
! [X0] : multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),X0)) = multiply(inverse(multiply(b2,inverse(multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(b2),b2))))),multiply(b2,X0)),
inference(forward_demodulation,[status(thm)],[f2098,f4364]) ).
fof(f4366,plain,
! [X0] : multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),X0)) = multiply(inverse(multiply(b2,inverse(multiply(inverse(multiply(b2,b2)),multiply(b2,b2))))),multiply(b2,X0)),
inference(forward_demodulation,[status(thm)],[f719,f4365]) ).
fof(f4367,plain,
! [X0] : multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),X0)) = multiply(inverse(multiply(b2,inverse(multiply(inverse(b2),b2)))),multiply(b2,X0)),
inference(forward_demodulation,[status(thm)],[f2099,f4366]) ).
fof(f4368,plain,
! [X0] : multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),X0)) = multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,X0)),
inference(forward_demodulation,[status(thm)],[f3491,f4367]) ).
fof(f4703,plain,
! [X0,X1] : multiply(multiply(inverse(multiply(X0,multiply(b2,inverse(X1)))),multiply(multiply(inverse(multiply(b2,inverse(multiply(multiply(X0,multiply(b2,inverse(X1))),multiply(inverse(b2),b2))))),multiply(b2,inverse(inverse(multiply(inverse(X1),X1))))),inverse(inverse(multiply(inverse(X1),X1))))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))) = inverse(inverse(multiply(inverse(X1),X1))),
inference(paramodulation,[status(thm)],[f3612,f178]) ).
fof(f4704,plain,
! [X0,X1] : multiply(multiply(inverse(multiply(X0,multiply(b2,inverse(X1)))),multiply(multiply(inverse(multiply(b2,inverse(multiply(multiply(X0,multiply(b2,inverse(X1))),multiply(inverse(b2),b2))))),multiply(b2,inverse(inverse(multiply(inverse(b2),b2))))),inverse(inverse(multiply(inverse(X1),X1))))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))) = inverse(inverse(multiply(inverse(X1),X1))),
inference(forward_demodulation,[status(thm)],[f2099,f4703]) ).
fof(f4705,plain,
! [X0,X1] : multiply(multiply(inverse(multiply(X0,multiply(b2,inverse(X1)))),multiply(multiply(inverse(multiply(b2,inverse(multiply(multiply(X0,multiply(b2,inverse(X1))),multiply(inverse(b2),b2))))),multiply(b2,inverse(multiply(inverse(b2),b2)))),inverse(inverse(multiply(inverse(X1),X1))))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))) = inverse(inverse(multiply(inverse(X1),X1))),
inference(forward_demodulation,[status(thm)],[f3491,f4704]) ).
fof(f4706,plain,
! [X0] : multiply(multiply(inverse(multiply(b2,inverse(multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(b2),b2))))),multiply(b2,inverse(inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))) = inverse(inverse(multiply(inverse(X0),X0))),
inference(forward_demodulation,[status(thm)],[f1997,f4705]) ).
fof(f4707,plain,
! [X0] : multiply(inverse(multiply(b2,inverse(multiply(multiply(inverse(multiply(inverse(b2),b2)),multiply(inverse(b2),b2)),X0)))),multiply(b2,inverse(X0))) = inverse(inverse(multiply(inverse(X0),X0))),
inference(forward_demodulation,[status(thm)],[f32,f4706]) ).
fof(f4708,plain,
! [X0] : multiply(inverse(multiply(b2,inverse(multiply(multiply(inverse(multiply(b2,b2)),multiply(b2,b2)),X0)))),multiply(b2,inverse(X0))) = inverse(inverse(multiply(inverse(X0),X0))),
inference(forward_demodulation,[status(thm)],[f719,f4707]) ).
fof(f4709,plain,
! [X0] : multiply(inverse(multiply(b2,inverse(multiply(multiply(inverse(b2),b2),X0)))),multiply(b2,inverse(X0))) = inverse(inverse(multiply(inverse(X0),X0))),
inference(forward_demodulation,[status(thm)],[f2099,f4708]) ).
fof(f4710,plain,
! [X0] : multiply(inverse(multiply(b2,inverse(multiply(multiply(inverse(b2),b2),X0)))),multiply(b2,inverse(X0))) = inverse(inverse(multiply(inverse(b2),b2))),
inference(forward_demodulation,[status(thm)],[f2099,f4709]) ).
fof(f4711,plain,
! [X0] : multiply(inverse(multiply(b2,inverse(multiply(multiply(inverse(b2),b2),X0)))),multiply(b2,inverse(X0))) = inverse(multiply(inverse(b2),b2)),
inference(forward_demodulation,[status(thm)],[f3491,f4710]) ).
fof(f4712,plain,
! [X0] : multiply(inverse(multiply(b2,inverse(multiply(multiply(inverse(b2),b2),X0)))),multiply(b2,inverse(X0))) = multiply(inverse(b2),b2),
inference(forward_demodulation,[status(thm)],[f3491,f4711]) ).
fof(f5085,plain,
! [X0,X1,X2,X3] : multiply(multiply(inverse(X0),multiply(multiply(inverse(multiply(X1,inverse(multiply(X0,multiply(b2,inverse(multiply(multiply(multiply(X2,multiply(b2,inverse(X3))),multiply(inverse(b2),b2)),X3))))))),multiply(X1,inverse(multiply(b2,inverse(multiply(multiply(multiply(X2,multiply(b2,inverse(X3))),multiply(inverse(b2),b2)),X3)))))),X2)),inverse(multiply(inverse(multiply(b2,inverse(multiply(multiply(multiply(X2,multiply(b2,inverse(X3))),multiply(inverse(b2),b2)),X3)))),multiply(b2,inverse(multiply(multiply(multiply(X2,multiply(b2,inverse(X3))),multiply(inverse(b2),b2)),X3)))))) = inverse(multiply(b2,inverse(multiply(multiply(multiply(X2,multiply(b2,inverse(X3))),multiply(inverse(b2),b2)),X3)))),
inference(paramodulation,[status(thm)],[f3612,f5]) ).
fof(f5086,plain,
! [X0,X1,X2] : multiply(multiply(inverse(X0),multiply(multiply(inverse(multiply(b2,inverse(multiply(X0,multiply(b2,inverse(multiply(multiply(multiply(X1,multiply(b2,inverse(X2))),multiply(inverse(b2),b2)),X2))))))),multiply(b2,inverse(multiply(b2,inverse(multiply(multiply(multiply(X1,multiply(b2,inverse(X2))),multiply(inverse(b2),b2)),X2)))))),X1)),inverse(multiply(inverse(multiply(b2,inverse(multiply(multiply(multiply(X1,multiply(b2,inverse(X2))),multiply(inverse(b2),b2)),X2)))),multiply(b2,inverse(multiply(multiply(multiply(X1,multiply(b2,inverse(X2))),multiply(inverse(b2),b2)),X2)))))) = inverse(multiply(b2,inverse(multiply(multiply(multiply(X1,multiply(b2,inverse(X2))),multiply(inverse(b2),b2)),X2)))),
inference(forward_demodulation,[status(thm)],[f719,f5085]) ).
fof(f5087,plain,
! [X0,X1] : multiply(multiply(inverse(multiply(b2,inverse(multiply(inverse(multiply(b2,inverse(multiply(multiply(multiply(X0,multiply(b2,inverse(X1))),multiply(inverse(b2),b2)),X1)))),multiply(b2,inverse(multiply(multiply(multiply(X0,multiply(b2,inverse(X1))),multiply(inverse(b2),b2)),X1))))))),multiply(b2,X0)),inverse(multiply(inverse(multiply(b2,inverse(multiply(multiply(multiply(X0,multiply(b2,inverse(X1))),multiply(inverse(b2),b2)),X1)))),multiply(b2,inverse(multiply(multiply(multiply(X0,multiply(b2,inverse(X1))),multiply(inverse(b2),b2)),X1)))))) = inverse(multiply(b2,inverse(multiply(multiply(multiply(X0,multiply(b2,inverse(X1))),multiply(inverse(b2),b2)),X1)))),
inference(forward_demodulation,[status(thm)],[f1997,f5086]) ).
fof(f5088,plain,
! [X0,X1] : multiply(multiply(inverse(multiply(b2,inverse(multiply(inverse(b2),b2)))),multiply(b2,X0)),inverse(multiply(inverse(multiply(b2,inverse(multiply(multiply(multiply(X0,multiply(b2,inverse(X1))),multiply(inverse(b2),b2)),X1)))),multiply(b2,inverse(multiply(multiply(multiply(X0,multiply(b2,inverse(X1))),multiply(inverse(b2),b2)),X1)))))) = inverse(multiply(b2,inverse(multiply(multiply(multiply(X0,multiply(b2,inverse(X1))),multiply(inverse(b2),b2)),X1)))),
inference(forward_demodulation,[status(thm)],[f2099,f5087]) ).
fof(f5089,plain,
! [X0,X1] : multiply(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,X0)),inverse(multiply(inverse(multiply(b2,inverse(multiply(multiply(multiply(X0,multiply(b2,inverse(X1))),multiply(inverse(b2),b2)),X1)))),multiply(b2,inverse(multiply(multiply(multiply(X0,multiply(b2,inverse(X1))),multiply(inverse(b2),b2)),X1)))))) = inverse(multiply(b2,inverse(multiply(multiply(multiply(X0,multiply(b2,inverse(X1))),multiply(inverse(b2),b2)),X1)))),
inference(forward_demodulation,[status(thm)],[f3491,f5088]) ).
fof(f5090,plain,
! [X0,X1] : multiply(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,X0)),inverse(multiply(inverse(b2),b2))) = inverse(multiply(b2,inverse(multiply(multiply(multiply(X0,multiply(b2,inverse(X1))),multiply(inverse(b2),b2)),X1)))),
inference(forward_demodulation,[status(thm)],[f2099,f5089]) ).
fof(f5091,plain,
! [X0,X1] : multiply(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,X0)),multiply(inverse(b2),b2)) = inverse(multiply(b2,inverse(multiply(multiply(multiply(X0,multiply(b2,inverse(X1))),multiply(inverse(b2),b2)),X1)))),
inference(forward_demodulation,[status(thm)],[f3491,f5090]) ).
fof(f5092,plain,
! [X0] : multiply(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,X0)),multiply(inverse(b2),b2)) = X0,
inference(forward_demodulation,[status(thm)],[f3612,f5091]) ).
fof(f5797,plain,
! [X0,X1] : multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,X0)) = multiply(inverse(multiply(b2,inverse(multiply(X0,X1)))),multiply(b2,inverse(X1))),
inference(paramodulation,[status(thm)],[f5092,f3617]) ).
fof(f6211,plain,
! [X0,X1,X2] : multiply(inverse(multiply(b2,inverse(multiply(X0,multiply(inverse(b2),b2))))),multiply(b2,inverse(multiply(inverse(X1),X1)))) = multiply(inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(X2,X1)))),multiply(b2,inverse(X1))),inverse(multiply(X0,multiply(inverse(X1),X1))))),X2),
inference(forward_demodulation,[status(thm)],[f2099,f170]) ).
fof(f6212,plain,
! [X0,X1,X2] : multiply(inverse(multiply(b2,inverse(multiply(X0,multiply(inverse(b2),b2))))),multiply(b2,inverse(multiply(inverse(b2),b2)))) = multiply(inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(X1,X2)))),multiply(b2,inverse(X2))),inverse(multiply(X0,multiply(inverse(X2),X2))))),X1),
inference(forward_demodulation,[status(thm)],[f2099,f6211]) ).
fof(f6213,plain,
! [X0,X1,X2] : multiply(inverse(multiply(b2,inverse(multiply(X0,multiply(inverse(b2),b2))))),multiply(b2,multiply(inverse(b2),b2))) = multiply(inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(X1,X2)))),multiply(b2,inverse(X2))),inverse(multiply(X0,multiply(inverse(X2),X2))))),X1),
inference(forward_demodulation,[status(thm)],[f3491,f6212]) ).
fof(f6214,plain,
! [X0,X1,X2] : multiply(inverse(multiply(b2,inverse(multiply(X0,multiply(inverse(b2),b2))))),multiply(b2,multiply(inverse(b2),b2))) = multiply(inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(X1,X2)))),multiply(b2,inverse(X2))),inverse(multiply(X0,multiply(inverse(b2),b2))))),X1),
inference(forward_demodulation,[status(thm)],[f2099,f6213]) ).
fof(f6888,plain,
! [X0] : multiply(multiply(inverse(multiply(b2,inverse(multiply(inverse(b2),b2)))),multiply(b2,inverse(multiply(b2,inverse(X0))))),multiply(inverse(b2),b2)) = inverse(multiply(b2,inverse(multiply(multiply(inverse(b2),b2),X0)))),
inference(paramodulation,[status(thm)],[f4712,f3611]) ).
fof(f6889,plain,
! [X0] : multiply(multiply(inverse(multiply(b2,multiply(inverse(b2),b2))),multiply(b2,inverse(multiply(b2,inverse(X0))))),multiply(inverse(b2),b2)) = inverse(multiply(b2,inverse(multiply(multiply(inverse(b2),b2),X0)))),
inference(forward_demodulation,[status(thm)],[f3491,f6888]) ).
fof(f6890,plain,
! [X0] : inverse(multiply(b2,inverse(X0))) = inverse(multiply(b2,inverse(multiply(multiply(inverse(b2),b2),X0)))),
inference(forward_demodulation,[status(thm)],[f5092,f6889]) ).
fof(f7637,plain,
! [X0] : multiply(inverse(multiply(b2,inverse(multiply(X0,b2)))),multiply(b2,inverse(b2))) = multiply(inverse(multiply(b2,inverse(multiply(X0,multiply(inverse(b2),b2))))),multiply(b2,multiply(inverse(b2),b2))),
inference(forward_demodulation,[status(thm)],[f3491,f3085]) ).
fof(f7640,plain,
! [X0,X1,X2] : multiply(inverse(multiply(b2,inverse(multiply(X0,b2)))),multiply(b2,inverse(b2))) = multiply(inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(X1,X2)))),multiply(b2,inverse(X2))),inverse(multiply(X0,multiply(inverse(b2),b2))))),X1),
inference(backward_demodulation,[status(thm)],[f7637,f6214]) ).
fof(f8277,plain,
! [X0,X1] : multiply(inverse(multiply(b2,inverse(multiply(X0,X1)))),multiply(b2,inverse(X1))) = multiply(inverse(multiply(b2,inverse(multiply(X0,b2)))),multiply(b2,inverse(b2))),
inference(equality_split,[status(esa)],[f3548]) ).
fof(f8756,plain,
! [X0,X1] : multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),X0)) = multiply(inverse(multiply(b2,inverse(multiply(X0,X1)))),multiply(b2,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f4368,f5797]) ).
fof(f8757,plain,
! [X0] : multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),X0)) = multiply(inverse(multiply(b2,inverse(multiply(X0,b2)))),multiply(b2,inverse(b2))),
inference(forward_demodulation,[status(thm)],[f8277,f8756]) ).
fof(f8764,plain,
! [X0] : multiply(multiply(inverse(b2),b2),multiply(multiply(inverse(b2),b2),multiply(X0,multiply(inverse(b2),b2)))) = X0,
inference(paramodulation,[status(thm)],[f3617,f8757]) ).
fof(f8894,plain,
! [X0] : inverse(multiply(b2,inverse(multiply(multiply(inverse(b2),b2),multiply(X0,multiply(inverse(b2),b2)))))) = inverse(multiply(b2,inverse(X0))),
inference(paramodulation,[status(thm)],[f8764,f6890]) ).
fof(f8895,plain,
! [X0] : inverse(multiply(b2,inverse(multiply(X0,multiply(inverse(b2),b2))))) = inverse(multiply(b2,inverse(X0))),
inference(forward_demodulation,[status(thm)],[f6890,f8894]) ).
fof(f9160,plain,
! [X0,X1] : multiply(multiply(inverse(multiply(b2,inverse(X0))),multiply(b2,inverse(inverse(multiply(inverse(X1),X1))))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1))))) = multiply(inverse(multiply(b2,inverse(multiply(multiply(X0,multiply(inverse(b2),b2)),X1)))),multiply(b2,inverse(X1))),
inference(paramodulation,[status(thm)],[f8895,f32]) ).
fof(f9161,plain,
! [X0,X1] : multiply(inverse(multiply(b2,inverse(multiply(X0,X1)))),multiply(b2,inverse(X1))) = multiply(inverse(multiply(b2,inverse(multiply(multiply(X0,multiply(inverse(b2),b2)),X1)))),multiply(b2,inverse(X1))),
inference(forward_demodulation,[status(thm)],[f32,f9160]) ).
fof(f9162,plain,
! [X0,X1] : multiply(inverse(multiply(b2,inverse(multiply(X0,X1)))),multiply(b2,inverse(X1))) = X0,
inference(forward_demodulation,[status(thm)],[f3617,f9161]) ).
fof(f9510,plain,
! [X0] : X0 = multiply(X0,multiply(inverse(b2),b2)),
inference(backward_demodulation,[status(thm)],[f9162,f3617]) ).
fof(f9935,plain,
! [X0,X1,X2] : X0 = multiply(inverse(multiply(multiply(inverse(multiply(b2,inverse(multiply(X1,X2)))),multiply(b2,inverse(X2))),inverse(multiply(X0,multiply(inverse(b2),b2))))),X1),
inference(forward_demodulation,[status(thm)],[f9162,f7640]) ).
fof(f9936,plain,
! [X0,X1] : X0 = multiply(inverse(multiply(X1,inverse(multiply(X0,multiply(inverse(b2),b2))))),X1),
inference(forward_demodulation,[status(thm)],[f9162,f9935]) ).
fof(f9937,plain,
! [X0,X1] : X0 = multiply(inverse(multiply(X1,inverse(X0))),X1),
inference(forward_demodulation,[status(thm)],[f9510,f9936]) ).
fof(f9940,plain,
! [X0] : multiply(multiply(inverse(b2),b2),X0) = multiply(inverse(multiply(b2,inverse(X0))),b2),
inference(paramodulation,[status(thm)],[f6890,f9937]) ).
fof(f9941,plain,
! [X0] : multiply(multiply(inverse(b2),b2),X0) = X0,
inference(forward_demodulation,[status(thm)],[f9937,f9940]) ).
fof(f10058,plain,
a2 != a2,
inference(backward_demodulation,[status(thm)],[f9941,f4]) ).
fof(f10059,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f10058]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP410-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 00:08:02 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 6.39/1.18 % Refutation found
% 6.39/1.18 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 6.39/1.18 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.64/1.22 % Elapsed time: 0.850844 seconds
% 6.64/1.22 % CPU time: 6.603834 seconds
% 6.64/1.22 % Total memory used: 221.441 MB
% 6.64/1.22 % Net memory used: 216.272 MB
%------------------------------------------------------------------------------