TSTP Solution File: GRP430-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP430-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 20:20:36 EDT 2024
% Result : Unsatisfiable 3.28s 0.78s
% Output : CNFRefutation 3.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 2
% Syntax : Number of formulae : 103 ( 103 unt; 0 def)
% Number of atoms : 103 ( 102 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 11 ( 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 : 236 ( 236 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : multiply(A,inverse(multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,B))),A)))) = D,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),X0)))) = X3,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f5,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))),multiply(multiply(X3,inverse(X3)),inverse(multiply(X4,X5)))))),inverse(multiply(X5,X2))) = X4,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f6,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X3))),multiply(X4,inverse(X4))),multiply(X2,X0)))) = X3,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f7,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(inverse(multiply(X1,multiply(multiply(multiply(X2,inverse(X2)),inverse(multiply(X3,X1))),X4))),multiply(multiply(multiply(X5,inverse(X5)),inverse(X3)),X0)))) = X4,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),multiply(X3,X0)))) = multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X1,X3))),multiply(X5,inverse(X5))),
inference(paramodulation,[status(thm)],[f3,f6]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(X2)),multiply(X3,inverse(X3))),multiply(X4,X0)))) = inverse(multiply(X5,multiply(multiply(multiply(X6,inverse(X6)),inverse(multiply(X2,X5))),X4))),
inference(paramodulation,[status(thm)],[f3,f6]) ).
fof(f17,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2))),multiply(X3,inverse(X3))) = multiply(a1,inverse(multiply(multiply(X1,multiply(a1,inverse(a1))),multiply(X2,a1)))),
inference(equality_split,[status(esa)],[f9]) ).
fof(f18,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X2))),multiply(X3,X0)))) = multiply(a1,inverse(multiply(multiply(X1,multiply(a1,inverse(a1))),multiply(X3,a1)))),
inference(equality_split,[status(esa)],[f9]) ).
fof(f29,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(multiply(a1,inverse(multiply(multiply(X1,multiply(a1,inverse(a1))),multiply(X2,a1)))),multiply(X1,X0)))) = X2,
inference(paramodulation,[status(thm)],[f17,f6]) ).
fof(f30,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(a1,inverse(multiply(multiply(X2,multiply(a1,inverse(a1))),multiply(X1,a1))))))) = X2,
inference(paramodulation,[status(thm)],[f17,f3]) ).
fof(f40,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = multiply(multiply(X3,inverse(X3)),inverse(multiply(X1,multiply(X2,multiply(a1,inverse(a1)))))),
inference(paramodulation,[status(thm)],[f3,f29]) ).
fof(f59,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,multiply(a1,inverse(multiply(multiply(X1,multiply(a1,inverse(a1))),multiply(X0,a1)))))),inverse(multiply(inverse(X2),X1))) = X2,
inference(paramodulation,[status(thm)],[f17,f5]) ).
fof(f95,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(X2,multiply(a1,inverse(a1)))))) = multiply(a1,inverse(multiply(X1,multiply(X2,a1)))),
inference(equality_split,[status(esa)],[f40]) ).
fof(f96,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = multiply(a1,inverse(multiply(X1,multiply(X2,a1)))),
inference(equality_split,[status(esa)],[f40]) ).
fof(f107,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(multiply(X1,multiply(a1,inverse(a1))),multiply(multiply(a1,inverse(multiply(X2,multiply(X1,a1)))),X0)))) = X2,
inference(paramodulation,[status(thm)],[f95,f3]) ).
fof(f108,plain,
! [X0,X1] : multiply(a1,inverse(multiply(multiply(X0,multiply(a1,inverse(a1))),multiply(multiply(a1,inverse(multiply(X1,multiply(X0,a1)))),a1)))) = X1,
inference(forward_demodulation,[status(thm)],[f18,f107]) ).
fof(f125,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2))) = multiply(multiply(X3,inverse(X3)),inverse(multiply(X1,X2))),
inference(paramodulation,[status(thm)],[f6,f30]) ).
fof(f126,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,inverse(X0)),inverse(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,multiply(a1,inverse(a1)))))),X2))) = X3,
inference(paramodulation,[status(thm)],[f3,f30]) ).
fof(f127,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X0)),inverse(multiply(multiply(a1,inverse(multiply(X1,multiply(X2,a1)))),X1))) = X2,
inference(forward_demodulation,[status(thm)],[f95,f126]) ).
fof(f147,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2))) = multiply(multiply(a1,inverse(a1)),inverse(multiply(X1,X2))),
inference(equality_split,[status(esa)],[f125]) ).
fof(f149,plain,
! [X0,X1] : multiply(multiply(a1,inverse(a1)),inverse(multiply(multiply(a1,inverse(multiply(X0,multiply(X1,a1)))),X0))) = X1,
inference(forward_demodulation,[status(thm)],[f147,f127]) ).
fof(f203,plain,
! [X0,X1,X2] : multiply(inverse(multiply(multiply(a1,inverse(multiply(X0,multiply(X1,a1)))),X0)),inverse(multiply(inverse(X2),X1))) = X2,
inference(paramodulation,[status(thm)],[f108,f59]) ).
fof(f204,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,X1)),inverse(multiply(inverse(X2),multiply(multiply(X3,inverse(X3)),inverse(multiply(X0,X1)))))) = X2,
inference(paramodulation,[status(thm)],[f6,f59]) ).
fof(f205,plain,
! [X0,X1] : multiply(a1,inverse(multiply(inverse(X0),multiply(multiply(X1,inverse(X1)),a1)))) = X0,
inference(forward_demodulation,[status(thm)],[f96,f204]) ).
fof(f234,plain,
! [X0,X1] : multiply(a1,inverse(multiply(multiply(multiply(X0,inverse(X0)),multiply(a1,inverse(a1))),multiply(X1,a1)))) = inverse(X1),
inference(paramodulation,[status(thm)],[f205,f108]) ).
fof(f235,plain,
! [X0,X1] : multiply(multiply(a1,inverse(a1)),inverse(multiply(X0,inverse(X0)))) = multiply(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f205,f149]) ).
fof(f251,plain,
! [X0] : multiply(multiply(a1,inverse(a1)),inverse(multiply(X0,inverse(X0)))) = multiply(a1,inverse(a1)),
inference(equality_split,[status(esa)],[f235]) ).
fof(f252,plain,
! [X0] : multiply(X0,inverse(X0)) = multiply(a1,inverse(a1)),
inference(equality_split,[status(esa)],[f235]) ).
fof(f345,plain,
! [X0,X1,X2,X3,X4] : multiply(a1,inverse(multiply(inverse(multiply(X0,multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))),X3))),multiply(multiply(multiply(X4,inverse(X4)),inverse(X2)),a1)))) = X3,
inference(forward_demodulation,[status(thm)],[f96,f7]) ).
fof(f346,plain,
! [X0,X1,X2,X3] : multiply(a1,inverse(multiply(inverse(multiply(X0,multiply(multiply(multiply(a1,inverse(a1)),inverse(multiply(X1,X0))),X2))),multiply(multiply(multiply(X3,inverse(X3)),inverse(X1)),a1)))) = X2,
inference(forward_demodulation,[status(thm)],[f147,f345]) ).
fof(f347,plain,
! [X0,X1,X2] : multiply(a1,inverse(multiply(inverse(multiply(X0,multiply(multiply(multiply(a1,inverse(a1)),inverse(multiply(X1,X0))),X2))),multiply(multiply(multiply(a1,inverse(a1)),inverse(X1)),a1)))) = X2,
inference(forward_demodulation,[status(thm)],[f252,f346]) ).
fof(f348,plain,
! [X0,X1] : multiply(X0,multiply(multiply(multiply(a1,inverse(a1)),inverse(multiply(multiply(a1,inverse(a1)),X0))),X1)) = X1,
inference(paramodulation,[status(thm)],[f205,f347]) ).
fof(f380,plain,
! [X0,X1] : multiply(a1,inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X0))),multiply(multiply(multiply(a1,inverse(a1)),inverse(multiply(a1,inverse(a1)))),X1))),multiply(multiply(multiply(a1,inverse(a1)),inverse(multiply(a1,inverse(a1)))),a1)))) = X1,
inference(paramodulation,[status(thm)],[f251,f347]) ).
fof(f381,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(X0))),multiply(multiply(multiply(a1,inverse(a1)),inverse(multiply(a1,inverse(a1)))),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f205,f380]) ).
fof(f382,plain,
! [X0] : multiply(inverse(multiply(a1,inverse(a1))),multiply(multiply(multiply(a1,inverse(a1)),inverse(multiply(a1,inverse(a1)))),X0)) = X0,
inference(forward_demodulation,[status(thm)],[f252,f381]) ).
fof(f383,plain,
! [X0] : multiply(inverse(multiply(a1,inverse(a1))),multiply(multiply(a1,inverse(a1)),X0)) = X0,
inference(forward_demodulation,[status(thm)],[f251,f382]) ).
fof(f440,plain,
! [X0] : multiply(inverse(multiply(a1,inverse(a1))),multiply(a1,inverse(a1))) = inverse(multiply(X0,inverse(X0))),
inference(paramodulation,[status(thm)],[f251,f383]) ).
fof(f441,plain,
multiply(inverse(multiply(a1,inverse(a1))),multiply(a1,inverse(a1))) = inverse(multiply(a1,inverse(a1))),
inference(forward_demodulation,[status(thm)],[f252,f440]) ).
fof(f619,plain,
! [X0] : multiply(a1,inverse(multiply(multiply(multiply(a1,inverse(a1)),multiply(a1,inverse(a1))),multiply(X0,a1)))) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f252,f234]) ).
fof(f620,plain,
! [X0] : X0 = inverse(multiply(a1,inverse(multiply(X0,multiply(multiply(a1,inverse(a1)),a1))))),
inference(paramodulation,[status(thm)],[f108,f619]) ).
fof(f660,plain,
multiply(multiply(a1,inverse(a1)),multiply(a1,inverse(a1))) = inverse(inverse(multiply(a1,inverse(a1)))),
inference(paramodulation,[status(thm)],[f619,f620]) ).
fof(f707,plain,
! [X0] : multiply(a1,inverse(multiply(inverse(inverse(multiply(a1,inverse(a1)))),multiply(X0,a1)))) = inverse(X0),
inference(backward_demodulation,[status(thm)],[f660,f619]) ).
fof(f954,plain,
! [X0,X1,X2,X3,X4] : multiply(a1,inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(X1)),multiply(a1,inverse(a1))),multiply(X2,a1)))) = inverse(multiply(X3,multiply(multiply(multiply(X4,inverse(X4)),inverse(multiply(X1,X3))),X2))),
inference(forward_demodulation,[status(thm)],[f18,f11]) ).
fof(f955,plain,
! [X0,X1,X2,X3] : multiply(a1,inverse(multiply(multiply(multiply(multiply(a1,inverse(a1)),inverse(X0)),multiply(a1,inverse(a1))),multiply(X1,a1)))) = inverse(multiply(X2,multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X0,X2))),X1))),
inference(forward_demodulation,[status(thm)],[f252,f954]) ).
fof(f956,plain,
! [X0,X1,X2] : multiply(a1,inverse(multiply(multiply(multiply(multiply(a1,inverse(a1)),inverse(X0)),multiply(a1,inverse(a1))),multiply(X1,a1)))) = inverse(multiply(X2,multiply(multiply(multiply(a1,inverse(a1)),inverse(multiply(X0,X2))),X1))),
inference(forward_demodulation,[status(thm)],[f147,f955]) ).
fof(f960,plain,
! [X0,X1,X2] : X0 = inverse(multiply(X1,multiply(multiply(multiply(a1,inverse(a1)),inverse(multiply(multiply(X2,X0),X1))),X2))),
inference(paramodulation,[status(thm)],[f6,f956]) ).
fof(f1292,plain,
! [X0,X1] : X0 = inverse(multiply(inverse(multiply(X1,X0)),multiply(multiply(a1,inverse(a1)),X1))),
inference(paramodulation,[status(thm)],[f251,f960]) ).
fof(f1446,plain,
! [X0] : multiply(multiply(a1,inverse(a1)),X0) = inverse(multiply(inverse(X0),multiply(multiply(a1,inverse(a1)),inverse(multiply(a1,inverse(a1)))))),
inference(paramodulation,[status(thm)],[f383,f1292]) ).
fof(f1447,plain,
! [X0] : multiply(multiply(a1,inverse(a1)),X0) = inverse(multiply(inverse(X0),multiply(a1,inverse(a1)))),
inference(forward_demodulation,[status(thm)],[f251,f1446]) ).
fof(f1477,plain,
! [X0,X1] : X0 = inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X1))),X0)),multiply(a1,inverse(a1)))),
inference(paramodulation,[status(thm)],[f251,f1292]) ).
fof(f1478,plain,
! [X0] : X0 = inverse(multiply(inverse(multiply(inverse(multiply(a1,inverse(a1))),X0)),multiply(a1,inverse(a1)))),
inference(forward_demodulation,[status(thm)],[f252,f1477]) ).
fof(f1605,plain,
! [X0] : X0 = multiply(multiply(a1,inverse(a1)),multiply(inverse(multiply(a1,inverse(a1))),X0)),
inference(forward_demodulation,[status(thm)],[f1447,f1478]) ).
fof(f1613,plain,
! [X0,X1] : X0 = inverse(multiply(inverse(multiply(multiply(inverse(multiply(a1,inverse(a1))),X1),X0)),X1)),
inference(paramodulation,[status(thm)],[f1605,f1292]) ).
fof(f1804,plain,
! [X0,X1] : multiply(multiply(multiply(a1,inverse(a1)),inverse(multiply(multiply(a1,inverse(a1)),multiply(inverse(multiply(a1,inverse(a1))),X0)))),X1) = inverse(multiply(inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f348,f1613]) ).
fof(f1805,plain,
! [X0,X1] : multiply(multiply(multiply(a1,inverse(a1)),inverse(X0)),X1) = inverse(multiply(inverse(X1),X0)),
inference(forward_demodulation,[status(thm)],[f1605,f1804]) ).
fof(f1978,plain,
! [X0,X1,X2] : X0 = inverse(multiply(X1,inverse(multiply(inverse(X2),multiply(multiply(X2,X0),X1))))),
inference(backward_demodulation,[status(thm)],[f1805,f960]) ).
fof(f1979,plain,
! [X0,X1] : X0 = inverse(multiply(a1,inverse(multiply(inverse(X1),multiply(multiply(X1,X0),a1))))),
inference(forward_demodulation,[status(thm)],[f96,f1978]) ).
fof(f1985,plain,
! [X0,X1,X2] : multiply(a1,inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),multiply(X2,X0))))),multiply(multiply(multiply(a1,inverse(a1)),inverse(X2)),a1)))) = X1,
inference(backward_demodulation,[status(thm)],[f1805,f347]) ).
fof(f1986,plain,
! [X0,X1] : multiply(a1,inverse(multiply(inverse(multiply(a1,inverse(multiply(inverse(X0),multiply(X1,a1))))),multiply(multiply(multiply(a1,inverse(a1)),inverse(X1)),a1)))) = X0,
inference(forward_demodulation,[status(thm)],[f96,f1985]) ).
fof(f1987,plain,
! [X0,X1] : multiply(a1,inverse(multiply(inverse(multiply(a1,inverse(multiply(inverse(X0),multiply(X1,a1))))),inverse(multiply(inverse(a1),X1))))) = X0,
inference(forward_demodulation,[status(thm)],[f1805,f1986]) ).
fof(f2163,plain,
! [X0,X1] : inverse(multiply(X0,inverse(multiply(X1,inverse(X1))))) = inverse(X0),
inference(paramodulation,[status(thm)],[f3,f1979]) ).
fof(f2164,plain,
! [X0] : inverse(multiply(X0,inverse(multiply(a1,inverse(a1))))) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f252,f2163]) ).
fof(f2177,plain,
! [X0] : multiply(multiply(a1,inverse(a1)),X0) = inverse(multiply(a1,inverse(multiply(inverse(inverse(multiply(a1,inverse(a1)))),multiply(X0,a1))))),
inference(paramodulation,[status(thm)],[f383,f1979]) ).
fof(f2178,plain,
! [X0] : multiply(multiply(a1,inverse(a1)),X0) = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f707,f2177]) ).
fof(f2270,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),X1) = inverse(multiply(inverse(X1),X0)),
inference(backward_demodulation,[status(thm)],[f2178,f1805]) ).
fof(f2272,plain,
! [X0,X1] : X0 = inverse(multiply(inverse(multiply(X1,X0)),inverse(inverse(X1)))),
inference(backward_demodulation,[status(thm)],[f2178,f1292]) ).
fof(f2273,plain,
! [X0] : multiply(inverse(multiply(a1,inverse(a1))),inverse(inverse(X0))) = X0,
inference(backward_demodulation,[status(thm)],[f2178,f383]) ).
fof(f2431,plain,
multiply(a1,inverse(a1)) = inverse(multiply(inverse(inverse(multiply(a1,inverse(a1)))),inverse(inverse(inverse(multiply(a1,inverse(a1))))))),
inference(paramodulation,[status(thm)],[f441,f2272]) ).
fof(f2432,plain,
multiply(a1,inverse(a1)) = inverse(multiply(a1,inverse(a1))),
inference(forward_demodulation,[status(thm)],[f252,f2431]) ).
fof(f2867,plain,
! [X0,X1] : multiply(a1,inverse(multiply(inverse(multiply(a1,inverse(multiply(inverse(X0),multiply(X1,a1))))),inverse(multiply(inverse(a1),X1))))) = multiply(X0,inverse(multiply(a1,inverse(a1)))),
inference(paramodulation,[status(thm)],[f2164,f1987]) ).
fof(f2868,plain,
! [X0] : X0 = multiply(X0,inverse(multiply(a1,inverse(a1)))),
inference(forward_demodulation,[status(thm)],[f1987,f2867]) ).
fof(f3350,plain,
! [X0] : multiply(multiply(a1,inverse(a1)),inverse(inverse(X0))) = X0,
inference(backward_demodulation,[status(thm)],[f2432,f2273]) ).
fof(f3351,plain,
! [X0] : inverse(inverse(inverse(inverse(X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f2178,f3350]) ).
fof(f3352,plain,
! [X0] : X0 = multiply(X0,multiply(a1,inverse(a1))),
inference(backward_demodulation,[status(thm)],[f2432,f2868]) ).
fof(f3952,plain,
! [X0,X1,X2,X3] : multiply(multiply(a1,inverse(a1)),inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2))),multiply(X3,inverse(X3))),X1))) = X2,
inference(paramodulation,[status(thm)],[f3352,f6]) ).
fof(f3953,plain,
! [X0,X1,X2,X3] : inverse(inverse(inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2))),multiply(X3,inverse(X3))),X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f2178,f3952]) ).
fof(f3954,plain,
! [X0,X1,X2] : inverse(inverse(inverse(multiply(multiply(multiply(multiply(a1,inverse(a1)),inverse(multiply(X0,X1))),multiply(X2,inverse(X2))),X0)))) = X1,
inference(forward_demodulation,[status(thm)],[f252,f3953]) ).
fof(f3955,plain,
! [X0,X1,X2] : inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(multiply(X0,X1)))),multiply(X2,inverse(X2))),X0)))) = X1,
inference(forward_demodulation,[status(thm)],[f2178,f3954]) ).
fof(f3956,plain,
! [X0,X1,X2] : inverse(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X0))),multiply(X1,X2))),X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f2270,f3955]) ).
fof(f3957,plain,
! [X0,X1] : inverse(inverse(inverse(multiply(inverse(multiply(inverse(multiply(a1,inverse(a1))),multiply(X0,X1))),X0)))) = X1,
inference(forward_demodulation,[status(thm)],[f252,f3956]) ).
fof(f3958,plain,
! [X0,X1] : inverse(inverse(inverse(multiply(inverse(multiply(multiply(a1,inverse(a1)),multiply(X0,X1))),X0)))) = X1,
inference(forward_demodulation,[status(thm)],[f2432,f3957]) ).
fof(f3959,plain,
! [X0,X1] : inverse(inverse(inverse(multiply(inverse(inverse(inverse(multiply(X0,X1)))),X0)))) = X1,
inference(forward_demodulation,[status(thm)],[f2178,f3958]) ).
fof(f3960,plain,
! [X0,X1] : inverse(inverse(inverse(inverse(multiply(inverse(X0),multiply(X0,X1)))))) = X1,
inference(forward_demodulation,[status(thm)],[f2270,f3959]) ).
fof(f3961,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f3351,f3960]) ).
fof(f3979,plain,
! [X0,X1] : multiply(X0,multiply(inverse(inverse(inverse(X0))),X1)) = X1,
inference(paramodulation,[status(thm)],[f3351,f3961]) ).
fof(f3980,plain,
! [X0,X1] : multiply(X0,inverse(multiply(inverse(X1),X0))) = X1,
inference(forward_demodulation,[status(thm)],[f2270,f3979]) ).
fof(f4002,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f3961,f3961]) ).
fof(f4332,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(paramodulation,[status(thm)],[f3961,f3980]) ).
fof(f4454,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X1,X0))) = inverse(X1),
inference(paramodulation,[status(thm)],[f3961,f4332]) ).
fof(f4538,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,multiply(a1,inverse(a1))),
inference(paramodulation,[status(thm)],[f3352,f4002]) ).
fof(f4539,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f3352,f4538]) ).
fof(f4671,plain,
! [X0] : multiply(multiply(a1,inverse(a1)),X0) = X0,
inference(backward_demodulation,[status(thm)],[f4539,f2178]) ).
fof(f4674,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(paramodulation,[status(thm)],[f4539,f4332]) ).
fof(f5458,plain,
! [X0,X1] : multiply(inverse(multiply(multiply(a1,inverse(multiply(X0,a1))),X0)),inverse(multiply(inverse(X1),multiply(a1,inverse(a1))))) = X1,
inference(paramodulation,[status(thm)],[f4671,f203]) ).
fof(f5459,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),multiply(a1,inverse(a1))))) = X1,
inference(forward_demodulation,[status(thm)],[f4454,f5458]) ).
fof(f5460,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X0),X0)),inverse(inverse(X1))) = X1,
inference(forward_demodulation,[status(thm)],[f3352,f5459]) ).
fof(f5461,plain,
! [X0,X1] : multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
inference(forward_demodulation,[status(thm)],[f4539,f5460]) ).
fof(f6030,plain,
! [X0,X1] : X0 = multiply(multiply(inverse(X1),X1),X0),
inference(paramodulation,[status(thm)],[f3961,f5461]) ).
fof(f6263,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f6030,f4674]) ).
fof(f7072,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f4,f6263]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP430-1 : TPTP v8.1.2. Released v2.6.0.
% 0.08/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 00:30:17 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % Drodi V3.6.0
% 3.28/0.78 % Refutation found
% 3.28/0.78 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.28/0.78 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.28/0.81 % Elapsed time: 0.451462 seconds
% 3.28/0.81 % CPU time: 3.466602 seconds
% 3.28/0.81 % Total memory used: 106.038 MB
% 3.28/0.81 % Net memory used: 103.795 MB
%------------------------------------------------------------------------------