TSTP Solution File: GRP435-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP435-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:11:42 EDT 2023
% Result : Unsatisfiable 18.55s 2.74s
% Output : CNFRefutation 18.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 2
% Syntax : Number of formulae : 49 ( 49 unt; 0 def)
% Number of atoms : 49 ( 48 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 10 ( 2 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 : 119 (; 119 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),multiply(D,inverse(D)))) = C,
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] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1),multiply(X3,inverse(X3)))) = X2,
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(f5,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(multiply(multiply(X0,multiply(inverse(multiply(multiply(X1,X2),X0)),X1)),X2),multiply(X3,inverse(X3)))) = multiply(X4,inverse(X4)),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f5,f5]) ).
fof(f34,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),X2),multiply(X3,inverse(X3)))) = inverse(multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f7,f3]) ).
fof(f39,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(multiply(multiply(X0,inverse(X0)),X1)),X2),inverse(X2)),multiply(X3,inverse(X3)))) = X1,
inference(paramodulation,[status(thm)],[f7,f3]) ).
fof(f110,plain,
! [X0,X1] : inverse(multiply(X0,inverse(X0))) = inverse(multiply(X1,inverse(X1))),
inference(paramodulation,[status(thm)],[f34,f39]) ).
fof(f191,plain,
! [X0,X1,X2] : multiply(X0,inverse(X0)) = multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(X2)))),
inference(paramodulation,[status(thm)],[f110,f7]) ).
fof(f232,plain,
! [X0,X1,X2,X3] : multiply(X0,inverse(X0)) = multiply(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(X2)))),inverse(multiply(X3,inverse(X3)))),
inference(paramodulation,[status(thm)],[f191,f191]) ).
fof(f287,plain,
! [X0,X1,X2,X3,X4] : inverse(multiply(multiply(multiply(inverse(multiply(X0,inverse(X0))),multiply(inverse(multiply(X1,inverse(X1))),X2)),inverse(X2)),multiply(X3,inverse(X3)))) = multiply(X4,inverse(X4)),
inference(paramodulation,[status(thm)],[f191,f5]) ).
fof(f288,plain,
! [X0,X1,X2] : inverse(multiply(multiply(inverse(multiply(X0,inverse(X0))),X1),inverse(X1))) = multiply(X2,inverse(X2)),
inference(forward_demodulation,[status(thm)],[f34,f287]) ).
fof(f356,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(multiply(X0,inverse(X0)),inverse(multiply(X1,inverse(X1)))),X2),multiply(X3,inverse(X3)))) = inverse(X2),
inference(paramodulation,[status(thm)],[f288,f3]) ).
fof(f4288,plain,
! [X0,X1,X2] : inverse(multiply(multiply(multiply(X0,inverse(X0)),X1),multiply(X2,inverse(X2)))) = inverse(X1),
inference(paramodulation,[status(thm)],[f232,f356]) ).
fof(f4528,plain,
! [X0,X1] : X0 = inverse(inverse(inverse(inverse(multiply(multiply(X1,inverse(X1)),X0))))),
inference(paramodulation,[status(thm)],[f39,f4288]) ).
fof(f5674,plain,
! [X0,X1,X2] : multiply(X0,inverse(X0)) = inverse(inverse(inverse(inverse(inverse(multiply(multiply(X1,inverse(X1)),inverse(multiply(X2,inverse(X2))))))))),
inference(paramodulation,[status(thm)],[f356,f4528]) ).
fof(f5675,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = inverse(inverse(multiply(X1,inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f4528,f5674]) ).
fof(f6091,plain,
! [X0,X1,X2,X3] : inverse(multiply(multiply(multiply(inverse(multiply(X0,inverse(X0))),multiply(X1,inverse(X1))),X2),multiply(X3,inverse(X3)))) = inverse(X2),
inference(paramodulation,[status(thm)],[f5675,f4288]) ).
fof(f6092,plain,
! [X0,X1] : inverse(multiply(multiply(X0,inverse(X0)),X1)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f34,f6091]) ).
fof(f6165,plain,
! [X0] : X0 = inverse(inverse(inverse(inverse(X0)))),
inference(backward_demodulation,[status(thm)],[f6092,f4528]) ).
fof(f6376,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = inverse(inverse(inverse(inverse(X1)))),
inference(paramodulation,[status(thm)],[f6092,f6165]) ).
fof(f6377,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X0)),X1) = X1,
inference(forward_demodulation,[status(thm)],[f6165,f6376]) ).
fof(f6458,plain,
! [X0,X1] : inverse(multiply(X0,multiply(X1,inverse(X1)))) = inverse(X0),
inference(backward_demodulation,[status(thm)],[f6377,f4288]) ).
fof(f7002,plain,
! [X0,X1,X2] : inverse(multiply(multiply(inverse(multiply(multiply(X0,X1),X2)),X0),X1)) = X2,
inference(backward_demodulation,[status(thm)],[f6458,f3]) ).
fof(f7056,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = inverse(inverse(inverse(inverse(X0)))),
inference(paramodulation,[status(thm)],[f6458,f6165]) ).
fof(f7057,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(forward_demodulation,[status(thm)],[f6165,f7056]) ).
fof(f7146,plain,
! [X0,X1,X2] : inverse(multiply(inverse(multiply(multiply(X0,multiply(X1,inverse(X1))),X2)),X0)) = X2,
inference(paramodulation,[status(thm)],[f7057,f7002]) ).
fof(f7147,plain,
! [X0,X1] : inverse(multiply(inverse(multiply(X0,X1)),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f7057,f7146]) ).
fof(f7158,plain,
! [X0,X1] : inverse(multiply(multiply(inverse(X0),X1),inverse(X1))) = X0,
inference(paramodulation,[status(thm)],[f6377,f7002]) ).
fof(f7426,plain,
! [X0,X1] : inverse(inverse(multiply(multiply(X0,inverse(X0)),X1))) = X1,
inference(paramodulation,[status(thm)],[f7057,f7147]) ).
fof(f7427,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f6377,f7426]) ).
fof(f7430,plain,
! [X0,X1] : inverse(multiply(X0,inverse(multiply(X1,X0)))) = X1,
inference(paramodulation,[status(thm)],[f7147,f7147]) ).
fof(f7465,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(multiply(X1,X0)),X1),
inference(paramodulation,[status(thm)],[f7147,f7427]) ).
fof(f7713,plain,
! [X0,X1] : inverse(X0) = multiply(X1,inverse(multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f7430,f7427]) ).
fof(f8329,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(X1,multiply(inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f7158,f7465]) ).
fof(f8330,plain,
! [X0,X1] : X0 = multiply(X1,multiply(inverse(X1),X0)),
inference(forward_demodulation,[status(thm)],[f7427,f8329]) ).
fof(f8360,plain,
! [X0,X1] : X0 = multiply(multiply(X0,X1),inverse(X1)),
inference(paramodulation,[status(thm)],[f7465,f8330]) ).
fof(f8369,plain,
! [X0,X1] : inverse(multiply(X0,inverse(X1))) = multiply(X1,inverse(X0)),
inference(paramodulation,[status(thm)],[f7713,f8330]) ).
fof(f8380,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f7427,f8330]) ).
fof(f8407,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(paramodulation,[status(thm)],[f8330,f7465]) ).
fof(f8418,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
inference(paramodulation,[status(thm)],[f7465,f8360]) ).
fof(f11881,plain,
! [X0,X1,X2] : inverse(multiply(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(X1)),inverse(X0))) = X2,
inference(paramodulation,[status(thm)],[f8418,f7002]) ).
fof(f11882,plain,
! [X0,X1,X2] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f8369,f11881]) ).
fof(f11883,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(inverse(X1)),multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(forward_demodulation,[status(thm)],[f8407,f11882]) ).
fof(f11884,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(forward_demodulation,[status(thm)],[f7427,f11883]) ).
fof(f19063,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(paramodulation,[status(thm)],[f8380,f11884]) ).
fof(f19401,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f19063,f4]) ).
fof(f19402,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f19401]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP435-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n027.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:48:33 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.32 % Drodi V3.5.1
% 18.55/2.74 % Refutation found
% 18.55/2.74 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 18.55/2.74 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 18.92/2.81 % Elapsed time: 2.473068 seconds
% 18.92/2.81 % CPU time: 19.137025 seconds
% 18.92/2.81 % Memory used: 160.816 MB
%------------------------------------------------------------------------------