TSTP Solution File: GRP495-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP495-1 : 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 : Wed May 31 12:11:52 EDT 2023
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 5
% Syntax : Number of formulae : 87 ( 87 unt; 0 def)
% Number of atoms : 87 ( 86 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 171 (; 171 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(double_divide(identity,A),double_divide(double_divide(double_divide(B,C),double_divide(identity,identity)),double_divide(A,C))) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = double_divide(double_divide(B,A),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = double_divide(A,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = double_divide(A,inverse(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),double_divide(identity,identity)),double_divide(X0,X2))) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0] : inverse(X0) = double_divide(X0,identity),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
! [X0] : identity = double_divide(X0,inverse(X0)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
! [X0,X1,X2] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),inverse(identity)),double_divide(X0,X2))) = X1,
inference(backward_demodulation,[status(thm)],[f8,f6]) ).
fof(f12,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f13,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f12,f9]) ).
fof(f35,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f12]) ).
fof(f37,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f12,f35]) ).
fof(f177,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(inverse(X1),inverse(identity)),double_divide(X0,identity))) = X1,
inference(paramodulation,[status(thm)],[f8,f11]) ).
fof(f178,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(inverse(X1),inverse(identity)),inverse(X0))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f177]) ).
fof(f179,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(identity,inverse(identity)),double_divide(X0,inverse(X1)))) = X1,
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f180,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(identity,double_divide(X0,inverse(X1)))) = X1,
inference(forward_demodulation,[status(thm)],[f9,f179]) ).
fof(f196,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(double_divide(double_divide(X1,double_divide(double_divide(double_divide(X2,X3),inverse(identity)),double_divide(X0,X3))),inverse(identity)),X2)) = X1,
inference(paramodulation,[status(thm)],[f11,f11]) ).
fof(f218,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(inverse(identity),inverse(X0)))) = X0,
inference(paramodulation,[status(thm)],[f9,f180]) ).
fof(f219,plain,
! [X0] : double_divide(double_divide(identity,X0),double_divide(identity,identity)) = X0,
inference(paramodulation,[status(thm)],[f9,f180]) ).
fof(f220,plain,
! [X0] : double_divide(double_divide(identity,X0),inverse(identity)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f219]) ).
fof(f237,plain,
double_divide(identity,inverse(identity)) = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f220]) ).
fof(f238,plain,
identity = inverse(identity),
inference(forward_demodulation,[status(thm)],[f9,f237]) ).
fof(f241,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(double_divide(double_divide(X1,inverse(identity)),inverse(identity)),X0)) = X1,
inference(paramodulation,[status(thm)],[f220,f11]) ).
fof(f242,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(double_divide(double_divide(X1,identity),inverse(identity)),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f238,f241]) ).
fof(f243,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(double_divide(inverse(X1),inverse(identity)),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f242]) ).
fof(f244,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(double_divide(inverse(X1),identity),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f238,f243]) ).
fof(f245,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(inverse(inverse(X1)),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f244]) ).
fof(f246,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(multiply(identity,X1),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f35,f245]) ).
fof(f247,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(X1,inverse(identity)),double_divide(X0,inverse(identity)))) = double_divide(identity,X1),
inference(paramodulation,[status(thm)],[f220,f11]) ).
fof(f248,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(X1,identity),double_divide(X0,inverse(identity)))) = double_divide(identity,X1),
inference(forward_demodulation,[status(thm)],[f238,f247]) ).
fof(f249,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(inverse(X1),double_divide(X0,inverse(identity)))) = double_divide(identity,X1),
inference(forward_demodulation,[status(thm)],[f8,f248]) ).
fof(f250,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(inverse(X1),double_divide(X0,identity))) = double_divide(identity,X1),
inference(forward_demodulation,[status(thm)],[f238,f249]) ).
fof(f251,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(inverse(X1),inverse(X0))) = double_divide(identity,X1),
inference(forward_demodulation,[status(thm)],[f8,f250]) ).
fof(f266,plain,
! [X0] : double_divide(double_divide(identity,X0),identity) = X0,
inference(backward_demodulation,[status(thm)],[f238,f220]) ).
fof(f267,plain,
! [X0] : inverse(double_divide(identity,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f266]) ).
fof(f268,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[status(thm)],[f12,f267]) ).
fof(f269,plain,
! [X0,X1,X2] : double_divide(double_divide(identity,X0),double_divide(double_divide(double_divide(X1,X2),identity),double_divide(X0,X2))) = X1,
inference(backward_demodulation,[status(thm)],[f238,f11]) ).
fof(f270,plain,
! [X0,X1,X2] : double_divide(double_divide(identity,X0),double_divide(inverse(double_divide(X1,X2)),double_divide(X0,X2))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f269]) ).
fof(f271,plain,
! [X0,X1,X2] : double_divide(double_divide(identity,X0),double_divide(multiply(X1,X2),double_divide(X0,X1))) = X2,
inference(forward_demodulation,[status(thm)],[f12,f270]) ).
fof(f292,plain,
! [X0] : double_divide(identity,double_divide(identity,double_divide(identity,inverse(X0)))) = X0,
inference(backward_demodulation,[status(thm)],[f238,f218]) ).
fof(f301,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(double_divide(double_divide(X1,double_divide(double_divide(double_divide(X2,X3),inverse(identity)),double_divide(X0,X3))),identity),X2)) = X1,
inference(backward_demodulation,[status(thm)],[f238,f196]) ).
fof(f302,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(inverse(double_divide(X1,double_divide(double_divide(double_divide(X2,X3),inverse(identity)),double_divide(X0,X3)))),X2)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f301]) ).
fof(f303,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(multiply(double_divide(double_divide(double_divide(X1,X2),inverse(identity)),double_divide(X0,X2)),X3),X1)) = X3,
inference(forward_demodulation,[status(thm)],[f12,f302]) ).
fof(f304,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(multiply(double_divide(double_divide(double_divide(X1,X2),identity),double_divide(X0,X2)),X3),X1)) = X3,
inference(forward_demodulation,[status(thm)],[f238,f303]) ).
fof(f305,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(multiply(double_divide(inverse(double_divide(X1,X2)),double_divide(X0,X2)),X3),X1)) = X3,
inference(forward_demodulation,[status(thm)],[f8,f304]) ).
fof(f306,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(identity,double_divide(identity,X0)),double_divide(multiply(double_divide(multiply(X1,X2),double_divide(X0,X1)),X3),X2)) = X3,
inference(forward_demodulation,[status(thm)],[f12,f305]) ).
fof(f317,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(double_divide(inverse(X1),identity),inverse(X0))) = X1,
inference(backward_demodulation,[status(thm)],[f238,f178]) ).
fof(f318,plain,
! [X0,X1] : double_divide(double_divide(identity,X0),double_divide(inverse(inverse(X1)),inverse(X0))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f317]) ).
fof(f319,plain,
! [X0] : double_divide(identity,inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f251,f318]) ).
fof(f341,plain,
! [X0] : double_divide(identity,double_divide(identity,X0)) = X0,
inference(backward_demodulation,[status(thm)],[f319,f292]) ).
fof(f342,plain,
! [X0,X1,X2,X3] : double_divide(X0,double_divide(multiply(double_divide(multiply(X1,X2),double_divide(X0,X1)),X3),X2)) = X3,
inference(backward_demodulation,[status(thm)],[f341,f306]) ).
fof(f344,plain,
! [X0,X1] : double_divide(X0,double_divide(multiply(identity,X1),X0)) = X1,
inference(backward_demodulation,[status(thm)],[f341,f246]) ).
fof(f374,plain,
! [X0] : identity = double_divide(double_divide(identity,X0),X0),
inference(paramodulation,[status(thm)],[f268,f13]) ).
fof(f409,plain,
! [X0,X1] : double_divide(identity,multiply(X0,X1)) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f12,f319]) ).
fof(f428,plain,
! [X0] : double_divide(identity,X0) = inverse(X0),
inference(paramodulation,[status(thm)],[f319,f341]) ).
fof(f438,plain,
! [X0] : multiply(identity,X0) = inverse(multiply(double_divide(identity,X0),identity)),
inference(paramodulation,[status(thm)],[f341,f37]) ).
fof(f439,plain,
! [X0] : multiply(identity,X0) = inverse(double_divide(identity,X0)),
inference(forward_demodulation,[status(thm)],[f268,f438]) ).
fof(f440,plain,
! [X0] : multiply(identity,X0) = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f12,f439]) ).
fof(f441,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f268,f440]) ).
fof(f453,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(backward_demodulation,[status(thm)],[f428,f409]) ).
fof(f474,plain,
! [X0] : identity = double_divide(inverse(X0),X0),
inference(backward_demodulation,[status(thm)],[f428,f374]) ).
fof(f481,plain,
! [X0,X1,X2] : double_divide(inverse(X0),double_divide(multiply(X1,X2),double_divide(X0,X1))) = X2,
inference(backward_demodulation,[status(thm)],[f428,f271]) ).
fof(f503,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(backward_demodulation,[status(thm)],[f441,f344]) ).
fof(f519,plain,
! [X0] : multiply(X0,inverse(X0)) = inverse(identity),
inference(paramodulation,[status(thm)],[f474,f12]) ).
fof(f520,plain,
! [X0] : multiply(X0,inverse(X0)) = identity,
inference(forward_demodulation,[status(thm)],[f238,f519]) ).
fof(f555,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(paramodulation,[status(thm)],[f503,f503]) ).
fof(f563,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(paramodulation,[status(thm)],[f503,f12]) ).
fof(f576,plain,
! [X0,X1] : double_divide(inverse(X0),double_divide(identity,double_divide(X0,X1))) = inverse(X1),
inference(paramodulation,[status(thm)],[f520,f481]) ).
fof(f577,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(double_divide(X0,X1))) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f428,f576]) ).
fof(f578,plain,
! [X0,X1] : double_divide(inverse(X0),multiply(X1,X0)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f12,f577]) ).
fof(f627,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(multiply(double_divide(identity,double_divide(X0,X1)),X2),inverse(X1))) = X2,
inference(paramodulation,[status(thm)],[f520,f342]) ).
fof(f628,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(multiply(inverse(double_divide(X0,X1)),X2),inverse(X1))) = X2,
inference(forward_demodulation,[status(thm)],[f428,f627]) ).
fof(f629,plain,
! [X0,X1,X2] : double_divide(X0,double_divide(multiply(multiply(X1,X0),X2),inverse(X1))) = X2,
inference(forward_demodulation,[status(thm)],[f12,f628]) ).
fof(f700,plain,
! [X0,X1] : multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f555,f12]) ).
fof(f908,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(X1)) = inverse(double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f563,f578]) ).
fof(f909,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(X1)) = multiply(X0,X1),
inference(forward_demodulation,[status(thm)],[f12,f908]) ).
fof(f1032,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),inverse(X2)) = multiply(double_divide(X1,X0),X2),
inference(paramodulation,[status(thm)],[f12,f909]) ).
fof(f1074,plain,
! [X0,X1,X2] : double_divide(X0,multiply(double_divide(X1,multiply(X2,X0)),X2)) = X1,
inference(backward_demodulation,[status(thm)],[f1032,f629]) ).
fof(f1225,plain,
! [X0,X1,X2] : multiply(X0,X1) = inverse(multiply(double_divide(X1,multiply(X2,X0)),X2)),
inference(paramodulation,[status(thm)],[f1074,f700]) ).
fof(f1226,plain,
! [X0,X1,X2] : multiply(X0,X1) = double_divide(X2,double_divide(X1,multiply(X2,X0))),
inference(forward_demodulation,[status(thm)],[f453,f1225]) ).
fof(f1373,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = inverse(double_divide(X2,multiply(X0,X1))),
inference(paramodulation,[status(thm)],[f1226,f700]) ).
fof(f1374,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f12,f1373]) ).
fof(f1390,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f1374,f10]) ).
fof(f1391,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f1390]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP495-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:24:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.38 % Elapsed time: 0.033151 seconds
% 0.21/0.38 % CPU time: 0.157369 seconds
% 0.21/0.38 % Memory used: 2.505 MB
%------------------------------------------------------------------------------