TSTP Solution File: GRP592-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP592-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:21:01 EDT 2024
% Result : Unsatisfiable 0.15s 0.34s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 3
% Syntax : Number of formulae : 65 ( 65 unt; 0 def)
% Number of atoms : 65 ( 64 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 163 ( 163 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = inverse(double_divide(B,A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : double_divide(inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(X2))))),X1) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
multiply(a,b) != multiply(b,a),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(double_divide(X0,inverse(X1))),double_divide(X0,X2)),X2) = X1,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2] : double_divide(multiply(multiply(inverse(X0),X1),double_divide(X1,X2)),X2) = X0,
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2,X3] : double_divide(multiply(multiply(multiply(X0,X1),X2),double_divide(X2,X3)),X3) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f5,f8]) ).
fof(f10,plain,
! [X0,X1,X2,X3] : double_divide(multiply(multiply(inverse(X0),multiply(multiply(inverse(X1),X2),double_divide(X2,X3))),X1),X3) = X0,
inference(paramodulation,[status(thm)],[f8,f8]) ).
fof(f11,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(inverse(X1),X2),double_divide(X2,X0))) = inverse(X1),
inference(paramodulation,[status(thm)],[f8,f5]) ).
fof(f13,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(multiply(X1,X2),X3),double_divide(X3,X0))) = inverse(double_divide(X2,X1)),
inference(paramodulation,[status(thm)],[f5,f11]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(multiply(X1,X2),X3),double_divide(X3,X0))) = multiply(X1,X2),
inference(forward_demodulation,[status(thm)],[f5,f13]) ).
fof(f16,plain,
! [X0,X1,X2,X3] : double_divide(multiply(inverse(X0),double_divide(multiply(multiply(inverse(X0),X1),double_divide(X1,inverse(X2))),X3)),X3) = X2,
inference(paramodulation,[status(thm)],[f11,f8]) ).
fof(f27,plain,
! [X0,X1,X2,X3,X4] : double_divide(multiply(inverse(X0),double_divide(multiply(multiply(inverse(X0),X1),double_divide(X1,multiply(X2,X3))),X4)),X4) = double_divide(X3,X2),
inference(paramodulation,[status(thm)],[f11,f9]) ).
fof(f39,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),X0),inverse(X1)) = X1,
inference(paramodulation,[status(thm)],[f11,f10]) ).
fof(f56,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),multiply(multiply(multiply(X1,X2),multiply(inverse(X3),X3)),X0)) = multiply(X1,X2),
inference(paramodulation,[status(thm)],[f39,f14]) ).
fof(f57,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(multiply(inverse(X1),multiply(inverse(X2),X2)),X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f39,f11]) ).
fof(f58,plain,
! [X0,X1,X2] : double_divide(multiply(multiply(inverse(X0),multiply(inverse(X1),X1)),X2),inverse(X2)) = X0,
inference(paramodulation,[status(thm)],[f39,f8]) ).
fof(f59,plain,
! [X0,X1] : multiply(inverse(X0),multiply(inverse(X1),X1)) = inverse(X0),
inference(paramodulation,[status(thm)],[f39,f5]) ).
fof(f60,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),X1),inverse(X1)) = X0,
inference(backward_demodulation,[status(thm)],[f59,f58]) ).
fof(f61,plain,
! [X0,X1] : multiply(inverse(X0),multiply(inverse(X1),X0)) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f59,f57]) ).
fof(f74,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(inverse(X2),X2)) = inverse(double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f5,f59]) ).
fof(f75,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(inverse(X2),X2)) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f5,f74]) ).
fof(f78,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(multiply(inverse(X1),X1))) = X0,
inference(paramodulation,[status(thm)],[f59,f60]) ).
fof(f79,plain,
! [X0,X1] : double_divide(inverse(multiply(inverse(X0),X0)),inverse(X1)) = X1,
inference(paramodulation,[status(thm)],[f59,f39]) ).
fof(f87,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(multiply(X1,X2),X0)) = multiply(X1,X2),
inference(backward_demodulation,[status(thm)],[f75,f56]) ).
fof(f88,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),inverse(multiply(inverse(X2),X2))) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f5,f78]) ).
fof(f97,plain,
! [X0,X1,X2] : double_divide(multiply(multiply(inverse(X0),inverse(X1)),X1),inverse(multiply(inverse(X2),X2))) = X0,
inference(paramodulation,[status(thm)],[f78,f8]) ).
fof(f98,plain,
! [X0,X1] : double_divide(X0,multiply(inverse(X1),inverse(X0))) = X1,
inference(forward_demodulation,[status(thm)],[f88,f97]) ).
fof(f107,plain,
! [X0,X1] : multiply(multiply(inverse(X0),inverse(X1)),X1) = inverse(X0),
inference(paramodulation,[status(thm)],[f98,f5]) ).
fof(f113,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),double_divide(X1,X2)),X2) = double_divide(inverse(X1),inverse(X0)),
inference(paramodulation,[status(thm)],[f107,f9]) ).
fof(f121,plain,
! [X0,X1,X2,X3] : double_divide(inverse(multiply(multiply(inverse(X0),X1),double_divide(X1,multiply(X2,X3)))),inverse(X0)) = double_divide(X3,X2),
inference(backward_demodulation,[status(thm)],[f113,f27]) ).
fof(f122,plain,
! [X0,X1,X2] : double_divide(inverse(multiply(multiply(inverse(X0),X1),double_divide(X1,inverse(X2)))),inverse(X0)) = X2,
inference(backward_demodulation,[status(thm)],[f113,f16]) ).
fof(f126,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f78,f79]) ).
fof(f150,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f126,f107]) ).
fof(f153,plain,
! [X0,X1,X2,X3] : double_divide(multiply(multiply(inverse(X0),X0),X1),X2) = multiply(multiply(inverse(X1),X3),double_divide(X3,X2)),
inference(paramodulation,[status(thm)],[f126,f10]) ).
fof(f154,plain,
! [X0,X1,X2] : double_divide(inverse(inverse(X0)),X1) = multiply(multiply(inverse(X0),X2),double_divide(X2,X1)),
inference(forward_demodulation,[status(thm)],[f150,f153]) ).
fof(f163,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(inverse(X1),X1),double_divide(X2,X0))) = inverse(X2),
inference(paramodulation,[status(thm)],[f126,f11]) ).
fof(f164,plain,
! [X0,X1] : multiply(X0,inverse(inverse(double_divide(X1,X0)))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f150,f163]) ).
fof(f165,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X0,X1))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f5,f164]) ).
fof(f166,plain,
! [X0,X1,X2] : double_divide(multiply(multiply(inverse(X0),X0),double_divide(X1,X2)),X2) = X1,
inference(paramodulation,[status(thm)],[f126,f8]) ).
fof(f167,plain,
! [X0,X1] : double_divide(inverse(inverse(double_divide(X0,X1))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f150,f166]) ).
fof(f168,plain,
! [X0,X1] : double_divide(inverse(multiply(X0,X1)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f5,f167]) ).
fof(f201,plain,
! [X0,X1,X2] : double_divide(inverse(double_divide(inverse(inverse(X0)),multiply(X1,X2))),inverse(X0)) = double_divide(X2,X1),
inference(backward_demodulation,[status(thm)],[f154,f121]) ).
fof(f202,plain,
! [X0,X1,X2] : double_divide(multiply(multiply(X0,X1),inverse(inverse(X2))),inverse(X2)) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f5,f201]) ).
fof(f205,plain,
! [X0,X1] : double_divide(inverse(double_divide(inverse(inverse(X0)),inverse(X1))),inverse(X0)) = X1,
inference(backward_demodulation,[status(thm)],[f154,f122]) ).
fof(f206,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),inverse(inverse(X1))),inverse(X1)) = X0,
inference(forward_demodulation,[status(thm)],[f5,f205]) ).
fof(f258,plain,
! [X0,X1] : multiply(X0,inverse(inverse(X1))) = inverse(inverse(multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f165,f165]) ).
fof(f262,plain,
! [X0,X1] : double_divide(inverse(inverse(X0)),X1) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f165,f168]) ).
fof(f266,plain,
! [X0,X1] : double_divide(inverse(inverse(multiply(inverse(X0),X1))),inverse(X1)) = X0,
inference(backward_demodulation,[status(thm)],[f258,f206]) ).
fof(f267,plain,
! [X0,X1] : inverse(multiply(inverse(X0),multiply(inverse(X1),X0))) = X1,
inference(forward_demodulation,[status(thm)],[f262,f266]) ).
fof(f268,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f61,f267]) ).
fof(f274,plain,
! [X0,X1,X2] : double_divide(inverse(inverse(multiply(multiply(X0,X1),X2))),inverse(X2)) = double_divide(X1,X0),
inference(backward_demodulation,[status(thm)],[f258,f202]) ).
fof(f275,plain,
! [X0,X1,X2] : inverse(multiply(inverse(X0),multiply(multiply(X1,X2),X0))) = double_divide(X2,X1),
inference(forward_demodulation,[status(thm)],[f262,f274]) ).
fof(f276,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f87,f275]) ).
fof(f323,plain,
! [X0,X1] : multiply(X0,double_divide(X1,X0)) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f276,f165]) ).
fof(f355,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f268,f107]) ).
fof(f356,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f268,f355]) ).
fof(f392,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X1)) = X0,
inference(paramodulation,[status(thm)],[f268,f356]) ).
fof(f424,plain,
! [X0,X1] : multiply(inverse(X0),inverse(double_divide(X0,X1))) = X1,
inference(paramodulation,[status(thm)],[f323,f392]) ).
fof(f425,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f5,f424]) ).
fof(f434,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f392,f425]) ).
fof(f435,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f268,f434]) ).
fof(f436,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f6,f435]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : GRP592-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.08/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n008.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue Apr 30 00:35:12 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.15/0.31 % Drodi V3.6.0
% 0.15/0.34 % Refutation found
% 0.15/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.35 % Elapsed time: 0.037477 seconds
% 0.15/0.35 % CPU time: 0.232102 seconds
% 0.15/0.35 % Total memory used: 17.186 MB
% 0.15/0.35 % Net memory used: 16.926 MB
%------------------------------------------------------------------------------