TSTP Solution File: GRP432-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP432-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 20:20:37 EDT 2024
% Result : Unsatisfiable 5.11s 0.96s
% Output : CNFRefutation 5.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 2
% Syntax : Number of formulae : 71 ( 71 unt; 0 def)
% Number of atoms : 71 ( 70 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 168 ( 168 !; 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(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
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(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f2]) ).
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(f15,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)],[f6,f3]) ).
fof(f17,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2))),multiply(X3,inverse(X3))) = multiply(a3,inverse(multiply(multiply(X1,multiply(a3,inverse(a3))),multiply(X2,a3)))),
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(a3,inverse(multiply(multiply(X1,multiply(a3,inverse(a3))),multiply(X3,a3)))),
inference(equality_split,[status(esa)],[f9]) ).
fof(f30,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(a3,inverse(multiply(multiply(X2,multiply(a3,inverse(a3))),multiply(X1,a3))))))) = X2,
inference(paramodulation,[status(thm)],[f17,f3]) ).
fof(f95,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(f96,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,inverse(X0)),inverse(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(X3,multiply(a3,inverse(a3)))))),X2))) = X3,
inference(paramodulation,[status(thm)],[f3,f30]) ).
fof(f115,plain,
! [X0,X1,X2] : multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2))) = multiply(multiply(a3,inverse(a3)),inverse(multiply(X1,X2))),
inference(equality_split,[status(esa)],[f95]) ).
fof(f117,plain,
! [X0,X1,X2] : multiply(multiply(a3,inverse(a3)),inverse(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,multiply(X2,multiply(a3,inverse(a3)))))),X1))) = X2,
inference(forward_demodulation,[status(thm)],[f115,f96]) ).
fof(f118,plain,
! [X0,X1] : multiply(multiply(a3,inverse(a3)),inverse(multiply(multiply(multiply(a3,inverse(a3)),inverse(multiply(X0,multiply(X1,multiply(a3,inverse(a3)))))),X0))) = X1,
inference(forward_demodulation,[status(thm)],[f115,f117]) ).
fof(f132,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,inverse(X1))) = multiply(a3,inverse(multiply(multiply(multiply(multiply(a3,inverse(a3)),inverse(multiply(X2,multiply(X0,multiply(a3,inverse(a3)))))),multiply(a3,inverse(a3))),multiply(X2,a3)))),
inference(paramodulation,[status(thm)],[f118,f17]) ).
fof(f133,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = multiply(X0,multiply(a3,inverse(a3))),
inference(forward_demodulation,[status(thm)],[f6,f132]) ).
fof(f165,plain,
! [X0,X1,X2] : multiply(inverse(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,X2)))),inverse(multiply(X2,multiply(a3,inverse(a3))))) = X1,
inference(paramodulation,[status(thm)],[f133,f3]) ).
fof(f166,plain,
! [X0,X1] : multiply(inverse(multiply(multiply(a3,inverse(a3)),inverse(multiply(X0,X1)))),inverse(multiply(X1,multiply(a3,inverse(a3))))) = X0,
inference(forward_demodulation,[status(thm)],[f115,f165]) ).
fof(f182,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,multiply(a3,inverse(a3))))),multiply(X3,inverse(X3))),multiply(X2,X0)))) = multiply(X4,inverse(X4)),
inference(paramodulation,[status(thm)],[f133,f6]) ).
fof(f183,plain,
! [X0] : multiply(a3,inverse(a3)) = multiply(X0,inverse(X0)),
inference(forward_demodulation,[status(thm)],[f6,f182]) ).
fof(f219,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f183,f183]) ).
fof(f265,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(multiply(multiply(a3,inverse(a3)),multiply(X1,inverse(X1))),multiply(X2,X0)))) = inverse(X2),
inference(paramodulation,[status(thm)],[f183,f6]) ).
fof(f266,plain,
! [X0] : multiply(a3,inverse(multiply(multiply(multiply(a3,inverse(a3)),multiply(a3,inverse(a3))),multiply(X0,a3)))) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f18,f265]) ).
fof(f267,plain,
! [X0,X1] : multiply(X0,inverse(multiply(inverse(X1),multiply(multiply(a3,inverse(a3)),X0)))) = X1,
inference(paramodulation,[status(thm)],[f183,f3]) ).
fof(f298,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(inverse(multiply(X1,multiply(multiply(multiply(a3,inverse(a3)),inverse(multiply(X2,X1))),X3))),multiply(multiply(multiply(X4,inverse(X4)),inverse(X2)),X0)))) = X3,
inference(forward_demodulation,[status(thm)],[f115,f7]) ).
fof(f404,plain,
! [X0] : multiply(X0,inverse(X0)) = multiply(a3,inverse(a3)),
inference(equality_split,[status(esa)],[f219]) ).
fof(f535,plain,
! [X0,X1] : X0 = inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X0,multiply(multiply(a3,inverse(a3)),multiply(a3,inverse(a3))))))),
inference(paramodulation,[status(thm)],[f3,f266]) ).
fof(f536,plain,
! [X0] : X0 = inverse(multiply(multiply(a3,inverse(a3)),inverse(multiply(X0,multiply(multiply(a3,inverse(a3)),multiply(a3,inverse(a3))))))),
inference(forward_demodulation,[status(thm)],[f115,f535]) ).
fof(f820,plain,
! [X0] : multiply(X0,inverse(multiply(multiply(multiply(a3,inverse(a3)),multiply(a3,inverse(a3))),multiply(a3,inverse(a3))))) = X0,
inference(paramodulation,[status(thm)],[f536,f166]) ).
fof(f1221,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(multiply(multiply(X1,inverse(X1)),multiply(X2,inverse(X2))),multiply(multiply(multiply(a3,inverse(a3)),multiply(a3,inverse(a3))),X0)))) = multiply(a3,inverse(a3)),
inference(paramodulation,[status(thm)],[f820,f6]) ).
fof(f1222,plain,
! [X0] : multiply(a3,inverse(multiply(multiply(multiply(X0,inverse(X0)),multiply(a3,inverse(a3))),multiply(multiply(multiply(a3,inverse(a3)),multiply(a3,inverse(a3))),a3)))) = multiply(a3,inverse(a3)),
inference(forward_demodulation,[status(thm)],[f18,f1221]) ).
fof(f1223,plain,
multiply(a3,inverse(multiply(multiply(multiply(a3,inverse(a3)),multiply(a3,inverse(a3))),multiply(multiply(multiply(a3,inverse(a3)),multiply(a3,inverse(a3))),a3)))) = multiply(a3,inverse(a3)),
inference(forward_demodulation,[status(thm)],[f404,f1222]) ).
fof(f1224,plain,
inverse(multiply(multiply(a3,inverse(a3)),multiply(a3,inverse(a3)))) = multiply(a3,inverse(a3)),
inference(forward_demodulation,[status(thm)],[f266,f1223]) ).
fof(f1279,plain,
multiply(inverse(multiply(multiply(a3,inverse(a3)),multiply(a3,inverse(a3)))),inverse(multiply(multiply(a3,inverse(a3)),multiply(a3,inverse(a3))))) = multiply(a3,inverse(a3)),
inference(paramodulation,[status(thm)],[f1224,f166]) ).
fof(f1280,plain,
multiply(multiply(a3,inverse(a3)),inverse(multiply(multiply(a3,inverse(a3)),multiply(a3,inverse(a3))))) = multiply(a3,inverse(a3)),
inference(forward_demodulation,[status(thm)],[f1224,f1279]) ).
fof(f1281,plain,
multiply(multiply(a3,inverse(a3)),multiply(a3,inverse(a3))) = multiply(a3,inverse(a3)),
inference(forward_demodulation,[status(thm)],[f1224,f1280]) ).
fof(f1439,plain,
inverse(multiply(a3,inverse(a3))) = multiply(a3,inverse(a3)),
inference(backward_demodulation,[status(thm)],[f1281,f1224]) ).
fof(f1440,plain,
! [X0] : multiply(X0,inverse(multiply(multiply(a3,inverse(a3)),multiply(a3,inverse(a3))))) = X0,
inference(backward_demodulation,[status(thm)],[f1281,f820]) ).
fof(f1441,plain,
! [X0] : multiply(X0,inverse(multiply(a3,inverse(a3)))) = X0,
inference(forward_demodulation,[status(thm)],[f1281,f1440]) ).
fof(f1586,plain,
! [X0] : multiply(X0,multiply(a3,inverse(a3))) = X0,
inference(backward_demodulation,[status(thm)],[f1439,f1441]) ).
fof(f1688,plain,
! [X0] : multiply(multiply(a3,inverse(a3)),inverse(multiply(inverse(X0),multiply(a3,inverse(a3))))) = X0,
inference(paramodulation,[status(thm)],[f1586,f267]) ).
fof(f1689,plain,
! [X0] : multiply(multiply(a3,inverse(a3)),inverse(inverse(X0))) = X0,
inference(forward_demodulation,[status(thm)],[f1586,f1688]) ).
fof(f1720,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(inverse(multiply(inverse(inverse(X1)),multiply(multiply(multiply(a3,inverse(a3)),inverse(X1)),X2))),multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(a3,inverse(a3)))),X0)))) = X2,
inference(paramodulation,[status(thm)],[f1689,f298]) ).
fof(f1721,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(multiply(inverse(inverse(X1)),multiply(multiply(multiply(a3,inverse(a3)),inverse(X1)),X2))),multiply(multiply(multiply(a3,inverse(a3)),inverse(multiply(a3,inverse(a3)))),X0)))) = X2,
inference(forward_demodulation,[status(thm)],[f115,f1720]) ).
fof(f1722,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(multiply(inverse(inverse(X1)),multiply(multiply(multiply(a3,inverse(a3)),inverse(X1)),X2))),multiply(multiply(a3,inverse(a3)),X0)))) = X2,
inference(forward_demodulation,[status(thm)],[f404,f1721]) ).
fof(f1723,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),multiply(multiply(multiply(a3,inverse(a3)),inverse(X0)),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f267,f1722]) ).
fof(f1922,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(paramodulation,[status(thm)],[f1689,f1723]) ).
fof(f1981,plain,
! [X0] : multiply(inverse(inverse(inverse(multiply(a3,inverse(a3))))),X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f1689,f1922]) ).
fof(f1982,plain,
! [X0] : multiply(inverse(inverse(multiply(a3,inverse(a3)))),X0) = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f1439,f1981]) ).
fof(f1983,plain,
! [X0] : multiply(inverse(multiply(a3,inverse(a3))),X0) = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f1439,f1982]) ).
fof(f1984,plain,
! [X0] : multiply(multiply(a3,inverse(a3)),X0) = inverse(inverse(X0)),
inference(forward_demodulation,[status(thm)],[f1439,f1983]) ).
fof(f2234,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),multiply(inverse(inverse(inverse(X0))),X1)) = X1,
inference(backward_demodulation,[status(thm)],[f1984,f1723]) ).
fof(f2235,plain,
! [X0,X1] : multiply(X0,inverse(multiply(inverse(X1),inverse(inverse(X0))))) = X1,
inference(backward_demodulation,[status(thm)],[f1984,f267]) ).
fof(f2425,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f1922,f2234]) ).
fof(f2861,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(multiply(X1,multiply(a3,inverse(a3))),multiply(X2,X0)))) = multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X1,X2))),multiply(X4,inverse(X4))),
inference(forward_demodulation,[status(thm)],[f404,f15]) ).
fof(f2862,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = multiply(multiply(multiply(X3,inverse(X3)),inverse(multiply(X1,X2))),multiply(X4,inverse(X4))),
inference(forward_demodulation,[status(thm)],[f1586,f2861]) ).
fof(f2863,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = multiply(multiply(multiply(a3,inverse(a3)),inverse(multiply(X1,X2))),multiply(X3,inverse(X3))),
inference(forward_demodulation,[status(thm)],[f404,f2862]) ).
fof(f2864,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = multiply(inverse(inverse(inverse(multiply(X1,X2)))),multiply(X3,inverse(X3))),
inference(forward_demodulation,[status(thm)],[f1984,f2863]) ).
fof(f2865,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = multiply(inverse(multiply(X1,X2)),multiply(X3,inverse(X3))),
inference(forward_demodulation,[status(thm)],[f2425,f2864]) ).
fof(f2866,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = multiply(inverse(multiply(X1,X2)),multiply(a3,inverse(a3))),
inference(forward_demodulation,[status(thm)],[f404,f2865]) ).
fof(f2867,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(X1,multiply(X2,X0)))) = inverse(multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f1586,f2866]) ).
fof(f2875,plain,
! [X0,X1,X2] : inverse(multiply(X0,multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,X0))))) = X2,
inference(backward_demodulation,[status(thm)],[f2867,f3]) ).
fof(f2876,plain,
! [X0,X1] : inverse(multiply(X0,multiply(multiply(a3,inverse(a3)),inverse(multiply(X1,X0))))) = X1,
inference(forward_demodulation,[status(thm)],[f404,f2875]) ).
fof(f2877,plain,
! [X0,X1] : inverse(multiply(X0,inverse(inverse(inverse(multiply(X1,X0)))))) = X1,
inference(forward_demodulation,[status(thm)],[f1984,f2876]) ).
fof(f3088,plain,
! [X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
inference(paramodulation,[status(thm)],[f2877,f2235]) ).
fof(f3347,plain,
! [X0,X1,X2] : multiply(inverse(inverse(multiply(X0,X1))),X2) = multiply(X0,multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f2867,f3088]) ).
fof(f3348,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f2425,f3347]) ).
fof(f4563,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f3348,f4]) ).
fof(f4564,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f4563]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : GRP432-1 : TPTP v8.1.2. Released v2.6.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n010.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 30 00:12:35 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.6.0
% 5.11/0.96 % Refutation found
% 5.11/0.96 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.11/0.96 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.11/1.00 % Elapsed time: 0.692377 seconds
% 5.11/1.00 % CPU time: 5.373426 seconds
% 5.11/1.00 % Total memory used: 124.617 MB
% 5.11/1.00 % Net memory used: 120.618 MB
%------------------------------------------------------------------------------