TSTP Solution File: GRP517-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP517-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 12:11:56 EDT 2023
% Result : Unsatisfiable 0.13s 0.32s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 2
% Syntax : Number of formulae : 46 ( 46 unt; 0 def)
% Number of atoms : 46 ( 45 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 14 ( 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 : 170 (; 170 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : multiply(A,multiply(multiply(inverse(multiply(A,B)),C),B)) = C,
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] : multiply(X0,multiply(multiply(inverse(multiply(X0,X1)),X2),X1)) = X2,
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] : multiply(X0,multiply(X1,X2)) = multiply(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),X1),X3),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f6,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(inverse(X1),X2),multiply(multiply(inverse(multiply(X0,X3)),X1),X3))) = X2,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f7,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(paramodulation,[status(thm)],[f3,f6]) ).
fof(f14,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(multiply(inverse(X1),X2),multiply(multiply(inverse(X3),X1),multiply(multiply(inverse(multiply(X0,X4)),X3),X4)))) = X2,
inference(paramodulation,[status(thm)],[f3,f6]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(X1,X2)) = multiply(multiply(inverse(X3),X1),multiply(multiply(inverse(multiply(inverse(multiply(X0,X2)),X4)),X3),X4)),
inference(paramodulation,[status(thm)],[f6,f3]) ).
fof(f17,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(multiply(inverse(X3),X1),multiply(X0,multiply(X3,X2))),
inference(forward_demodulation,[status(thm)],[f5,f16]) ).
fof(f20,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(multiply(inverse(multiply(inverse(X1),X2)),X0),X2),
inference(paramodulation,[status(thm)],[f3,f7]) ).
fof(f21,plain,
! [X0,X1,X2,X3] : multiply(X0,X1) = multiply(multiply(inverse(X2),X0),multiply(multiply(inverse(multiply(inverse(X1),X3)),X2),X3)),
inference(paramodulation,[status(thm)],[f6,f7]) ).
fof(f22,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(multiply(inverse(X2),X0),multiply(X2,X1)),
inference(forward_demodulation,[status(thm)],[f20,f21]) ).
fof(f25,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(backward_demodulation,[status(thm)],[f20,f5]) ).
fof(f31,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(multiply(inverse(X2),X1),multiply(X0,X2)),
inference(paramodulation,[status(thm)],[f7,f25]) ).
fof(f33,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(X2,X3))) = multiply(X2,multiply(X0,multiply(X1,X3))),
inference(paramodulation,[status(thm)],[f25,f25]) ).
fof(f99,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(X0,multiply(multiply(inverse(X1),X2),multiply(multiply(inverse(X3),X1),multiply(multiply(inverse(X4),X3),multiply(multiply(inverse(X5),X4),multiply(multiply(inverse(X6),X5),multiply(multiply(inverse(multiply(X0,X7)),X6),X7))))))) = X2,
inference(paramodulation,[status(thm)],[f14,f14]) ).
fof(f124,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(inverse(multiply(inverse(X0),X1)),X2),X1),X3) = multiply(X2,multiply(X0,X3)),
inference(paramodulation,[status(thm)],[f3,f22]) ).
fof(f125,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f20,f124]) ).
fof(f140,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(inverse(multiply(X1,X2)),X3),X2)) = multiply(multiply(inverse(X1),X0),X3),
inference(paramodulation,[status(thm)],[f3,f22]) ).
fof(f141,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(inverse(multiply(X1,X2)),multiply(X3,X2))) = multiply(multiply(inverse(X1),X0),X3),
inference(forward_demodulation,[status(thm)],[f125,f140]) ).
fof(f142,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(inverse(multiply(X1,X2)),multiply(X3,X2))) = multiply(inverse(X1),multiply(X0,X3)),
inference(forward_demodulation,[status(thm)],[f125,f141]) ).
fof(f154,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(multiply(X0,X1)),multiply(X2,X1))) = X2,
inference(backward_demodulation,[status(thm)],[f125,f3]) ).
fof(f155,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f142,f154]) ).
fof(f156,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f25,f155]) ).
fof(f195,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(X0,multiply(multiply(inverse(X1),X2),multiply(multiply(inverse(X3),X1),multiply(multiply(inverse(X4),X3),multiply(multiply(inverse(X5),X4),multiply(multiply(inverse(X6),X5),multiply(inverse(multiply(X0,X7)),multiply(X6,X7)))))))) = X2,
inference(backward_demodulation,[status(thm)],[f125,f99]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(X0,multiply(inverse(X1),multiply(X2,multiply(multiply(inverse(X3),X1),multiply(multiply(inverse(X4),X3),multiply(multiply(inverse(X5),X4),multiply(multiply(inverse(X6),X5),multiply(inverse(multiply(X0,X7)),multiply(X6,X7))))))))) = X2,
inference(forward_demodulation,[status(thm)],[f125,f195]) ).
fof(f197,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(X0,multiply(inverse(X1),multiply(X2,multiply(inverse(X3),multiply(X1,multiply(multiply(inverse(X4),X3),multiply(multiply(inverse(X5),X4),multiply(multiply(inverse(X6),X5),multiply(inverse(multiply(X0,X7)),multiply(X6,X7)))))))))) = X2,
inference(forward_demodulation,[status(thm)],[f125,f196]) ).
fof(f198,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(X0,multiply(inverse(X1),multiply(X2,multiply(inverse(X3),multiply(X1,multiply(inverse(X4),multiply(X3,multiply(multiply(inverse(X5),X4),multiply(multiply(inverse(X6),X5),multiply(inverse(multiply(X0,X7)),multiply(X6,X7))))))))))) = X2,
inference(forward_demodulation,[status(thm)],[f125,f197]) ).
fof(f199,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] : multiply(X0,multiply(inverse(X1),multiply(X2,multiply(inverse(X3),multiply(X1,multiply(inverse(X4),multiply(X3,multiply(inverse(X5),multiply(X4,multiply(multiply(inverse(X6),X5),multiply(inverse(multiply(X0,X7)),multiply(X6,X7)))))))))))) = X2,
inference(forward_demodulation,[status(thm)],[f125,f198]) ).
fof(f200,plain,
! [X0,X1,X2,X3,X4,X5,X6] : multiply(X0,multiply(inverse(X1),multiply(X2,multiply(inverse(X3),multiply(X1,multiply(inverse(X4),multiply(X3,multiply(inverse(X5),multiply(X4,multiply(inverse(multiply(X0,X6)),multiply(X5,X6))))))))))) = X2,
inference(forward_demodulation,[status(thm)],[f17,f199]) ).
fof(f201,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(X0,multiply(inverse(X1),multiply(X2,multiply(inverse(X3),multiply(X1,multiply(inverse(X4),multiply(X3,multiply(inverse(X5),multiply(inverse(X0),multiply(X4,X5)))))))))) = X2,
inference(forward_demodulation,[status(thm)],[f142,f200]) ).
fof(f219,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(inverse(X3),multiply(X1,multiply(X0,multiply(X3,X2)))),
inference(backward_demodulation,[status(thm)],[f125,f17]) ).
fof(f220,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(inverse(X2),multiply(X1,multiply(X0,X2))),
inference(backward_demodulation,[status(thm)],[f125,f31]) ).
fof(f224,plain,
! [X0,X1,X2,X3,X4] : multiply(X0,multiply(inverse(X1),multiply(X2,multiply(inverse(X3),multiply(X1,multiply(inverse(X4),multiply(inverse(X0),multiply(X3,X4)))))))) = X2,
inference(backward_demodulation,[status(thm)],[f219,f201]) ).
fof(f225,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(inverse(X1),multiply(X2,multiply(inverse(X3),multiply(inverse(X0),multiply(X1,X3)))))) = X2,
inference(forward_demodulation,[status(thm)],[f219,f224]) ).
fof(f226,plain,
! [X0,X1,X2] : multiply(X0,multiply(inverse(X1),multiply(X2,multiply(X1,inverse(X0))))) = X2,
inference(forward_demodulation,[status(thm)],[f220,f225]) ).
fof(f227,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(inverse(X1),multiply(X2,inverse(X0))))) = X2,
inference(forward_demodulation,[status(thm)],[f33,f226]) ).
fof(f228,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(forward_demodulation,[status(thm)],[f156,f227]) ).
fof(f237,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(paramodulation,[status(thm)],[f25,f228]) ).
fof(f247,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(X2,inverse(X2)))) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f237,f25]) ).
fof(f248,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f237,f247]) ).
fof(f263,plain,
multiply(inverse(a1),a1) != multiply(b1,inverse(b1)),
inference(paramodulation,[status(thm)],[f248,f4]) ).
fof(f264,plain,
multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)),
inference(forward_demodulation,[status(thm)],[f248,f263]) ).
fof(f325,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f237,f156]) ).
fof(f326,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f264,f325]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP517-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n028.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
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue May 30 11:43:32 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 0.13/0.32 % Refutation found
% 0.13/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.34 % Elapsed time: 0.039751 seconds
% 0.13/0.34 % CPU time: 0.056267 seconds
% 0.13/0.34 % Memory used: 1.204 MB
%------------------------------------------------------------------------------