TSTP Solution File: GRP075-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP075-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 12:10:08 EDT 2023
% Result : Unsatisfiable 0.18s 0.36s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 8
% Syntax : Number of formulae : 96 ( 80 unt; 0 def)
% Number of atoms : 115 ( 92 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 16 ~; 16 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 178 (; 178 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z,U] : double_divide(double_divide(double_divide(X,double_divide(Y,identity)),double_divide(double_divide(Z,double_divide(U,double_divide(U,identity))),double_divide(X,identity))),Y) = Z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = double_divide(double_divide(Y,X),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : inverse(X) = double_divide(X,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : identity = double_divide(X,inverse(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
( multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),double_divide(X0,identity))),X1) = X2,
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(inverse(a1),a1) != identity
| multiply(identity,a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
( spl0_0
<=> multiply(inverse(a1),a1) = identity ),
introduced(split_symbol_definition) ).
fof(f13,plain,
( multiply(inverse(a1),a1) != identity
| spl0_0 ),
inference(component_clause,[status(thm)],[f11]) ).
fof(f14,plain,
( spl0_1
<=> multiply(identity,a2) = a2 ),
introduced(split_symbol_definition) ).
fof(f16,plain,
( multiply(identity,a2) != a2
| spl0_1 ),
inference(component_clause,[status(thm)],[f14]) ).
fof(f17,plain,
( spl0_2
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(split_symbol_definition) ).
fof(f19,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(component_clause,[status(thm)],[f17]) ).
fof(f20,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f10,f11,f14,f17]) ).
fof(f21,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f22,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,double_divide(X1,identity)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),inverse(X0))),X1) = X2,
inference(backward_demodulation,[status(thm)],[f8,f6]) ).
fof(f23,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(double_divide(X2,double_divide(X3,double_divide(X3,identity))),inverse(X0))),X1) = X2,
inference(forward_demodulation,[status(thm)],[f8,f22]) ).
fof(f24,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(double_divide(X2,double_divide(X3,inverse(X3))),inverse(X0))),X1) = X2,
inference(forward_demodulation,[status(thm)],[f8,f23]) ).
fof(f25,plain,
! [X0,X1,X2] : double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(double_divide(X2,identity),inverse(X0))),X1) = X2,
inference(forward_demodulation,[status(thm)],[f9,f24]) ).
fof(f26,plain,
! [X0,X1,X2] : double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(X2),inverse(X0))),X1) = X2,
inference(forward_demodulation,[status(thm)],[f8,f25]) ).
fof(f27,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f21]) ).
fof(f28,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f21]) ).
fof(f29,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f21,f9]) ).
fof(f37,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,double_divide(inverse(X1),inverse(double_divide(double_divide(X2,inverse(inverse(X3))),double_divide(inverse(X0),inverse(X2)))))),X3) = X1,
inference(paramodulation,[status(thm)],[f26,f26]) ).
fof(f38,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,double_divide(inverse(X1),multiply(double_divide(inverse(X0),inverse(X2)),double_divide(X2,inverse(inverse(X3)))))),X3) = X1,
inference(forward_demodulation,[status(thm)],[f21,f37]) ).
fof(f39,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,double_divide(inverse(X1),multiply(double_divide(inverse(X0),inverse(X2)),double_divide(X2,multiply(identity,X3))))),X3) = X1,
inference(forward_demodulation,[status(thm)],[f28,f38]) ).
fof(f40,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(inverse(X0),inverse(X1))),X1) = X0,
inference(paramodulation,[status(thm)],[f9,f26]) ).
fof(f43,plain,
! [X0,X1] : double_divide(double_divide(double_divide(inverse(X0),inverse(X1)),identity),X1) = X0,
inference(paramodulation,[status(thm)],[f9,f26]) ).
fof(f44,plain,
! [X0,X1] : double_divide(inverse(double_divide(inverse(X0),inverse(X1))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f8,f43]) ).
fof(f45,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),inverse(X1)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f21,f44]) ).
fof(f49,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(double_divide(X0,X1),inverse(X2)),double_divide(inverse(X3),multiply(X1,X0))),X2) = X3,
inference(paramodulation,[status(thm)],[f21,f26]) ).
fof(f71,plain,
! [X0] : double_divide(inverse(identity),inverse(X0)) = X0,
inference(paramodulation,[status(thm)],[f27,f45]) ).
fof(f75,plain,
! [X0,X1,X2] : double_divide(multiply(inverse(X0),multiply(X1,X2)),X0) = double_divide(X2,X1),
inference(paramodulation,[status(thm)],[f21,f45]) ).
fof(f83,plain,
identity = inverse(identity),
inference(paramodulation,[status(thm)],[f9,f71]) ).
fof(f94,plain,
! [X0] : multiply(inverse(X0),inverse(identity)) = inverse(X0),
inference(paramodulation,[status(thm)],[f71,f21]) ).
fof(f95,plain,
! [X0] : multiply(inverse(X0),identity) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f83,f94]) ).
fof(f96,plain,
! [X0] : double_divide(identity,inverse(X0)) = X0,
inference(backward_demodulation,[status(thm)],[f83,f71]) ).
fof(f110,plain,
! [X0] : double_divide(multiply(inverse(X0),identity),X0) = identity,
inference(paramodulation,[status(thm)],[f83,f45]) ).
fof(f111,plain,
! [X0] : double_divide(inverse(X0),X0) = identity,
inference(forward_demodulation,[status(thm)],[f95,f110]) ).
fof(f119,plain,
! [X0,X1] : double_divide(double_divide(double_divide(identity,inverse(X0)),double_divide(inverse(X1),identity)),X0) = X1,
inference(paramodulation,[status(thm)],[f83,f26]) ).
fof(f120,plain,
! [X0,X1] : double_divide(double_divide(X0,double_divide(inverse(X1),identity)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f96,f119]) ).
fof(f121,plain,
! [X0,X1] : double_divide(double_divide(X0,inverse(inverse(X1))),X0) = X1,
inference(forward_demodulation,[status(thm)],[f8,f120]) ).
fof(f122,plain,
! [X0,X1] : double_divide(double_divide(X0,multiply(identity,X1)),X0) = X1,
inference(forward_demodulation,[status(thm)],[f28,f121]) ).
fof(f154,plain,
! [X0,X1] : double_divide(double_divide(double_divide(X0,inverse(X1)),identity),X1) = inverse(X0),
inference(paramodulation,[status(thm)],[f111,f26]) ).
fof(f155,plain,
! [X0,X1] : double_divide(inverse(double_divide(X0,inverse(X1))),X1) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f8,f154]) ).
fof(f156,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),X1),X0) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f21,f155]) ).
fof(f165,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[status(thm)],[f156,f45]) ).
fof(f166,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f28,f165]) ).
fof(f167,plain,
! [X0,X1] : inverse(multiply(X0,X1)) = double_divide(X1,X0),
inference(backward_demodulation,[status(thm)],[f156,f75]) ).
fof(f178,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(backward_demodulation,[status(thm)],[f166,f122]) ).
fof(f184,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,double_divide(inverse(X1),multiply(double_divide(inverse(X0),inverse(X2)),double_divide(X2,X3)))),X3) = X1,
inference(backward_demodulation,[status(thm)],[f166,f39]) ).
fof(f194,plain,
! [X0] : inverse(double_divide(identity,X0)) = X0,
inference(paramodulation,[status(thm)],[f8,f178]) ).
fof(f195,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[status(thm)],[f21,f194]) ).
fof(f199,plain,
! [X0,X1] : double_divide(identity,double_divide(X0,X1)) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f29,f178]) ).
fof(f200,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f178,f178]) ).
fof(f201,plain,
! [X0] : double_divide(identity,X0) = inverse(X0),
inference(paramodulation,[status(thm)],[f9,f178]) ).
fof(f208,plain,
! [X0,X1] : multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f178,f21]) ).
fof(f209,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),inverse(X1)),X0) = X1,
inference(backward_demodulation,[status(thm)],[f199,f40]) ).
fof(f210,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f156,f209]) ).
fof(f360,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(paramodulation,[status(thm)],[f200,f21]) ).
fof(f481,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = inverse(double_divide(inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f208,f156]) ).
fof(f482,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = multiply(X0,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f21,f481]) ).
fof(f497,plain,
! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
inference(paramodulation,[status(thm)],[f156,f360]) ).
fof(f498,plain,
! [X0,X1] : multiply(inverse(X0),X1) = double_divide(X0,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f167,f497]) ).
fof(f621,plain,
! [X0,X1,X2] : double_divide(inverse(X0),multiply(X1,X2)) = multiply(X0,double_divide(X2,X1)),
inference(paramodulation,[status(thm)],[f167,f482]) ).
fof(f622,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(X1)) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f210,f482]) ).
fof(f639,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,multiply(X1,double_divide(double_divide(X2,X3),double_divide(inverse(X0),inverse(X2))))),X3) = X1,
inference(backward_demodulation,[status(thm)],[f621,f184]) ).
fof(f640,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(X0,multiply(X1,double_divide(double_divide(X2,X3),multiply(X0,X2)))),X3) = X1,
inference(forward_demodulation,[status(thm)],[f622,f639]) ).
fof(f644,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(double_divide(double_divide(X0,X1),inverse(X2)),multiply(X3,double_divide(X0,X1))),X2) = X3,
inference(backward_demodulation,[status(thm)],[f621,f49]) ).
fof(f719,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = double_divide(double_divide(X1,X0),inverse(X2)),
inference(paramodulation,[status(thm)],[f21,f498]) ).
fof(f744,plain,
! [X0,X1,X2,X3] : double_divide(double_divide(multiply(multiply(X0,X1),X2),multiply(X3,double_divide(X1,X0))),X2) = X3,
inference(backward_demodulation,[status(thm)],[f719,f644]) ).
fof(f792,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,multiply(X1,double_divide(identity,multiply(X0,X2)))),inverse(X2)) = X1,
inference(paramodulation,[status(thm)],[f9,f640]) ).
fof(f793,plain,
! [X0,X1,X2] : multiply(multiply(multiply(X0,double_divide(identity,multiply(X1,X2))),X1),X2) = X0,
inference(forward_demodulation,[status(thm)],[f719,f792]) ).
fof(f794,plain,
! [X0,X1,X2] : multiply(multiply(multiply(X0,inverse(multiply(X1,X2))),X1),X2) = X0,
inference(forward_demodulation,[status(thm)],[f201,f793]) ).
fof(f795,plain,
! [X0,X1,X2] : multiply(multiply(double_divide(inverse(X0),multiply(X1,X2)),X1),X2) = X0,
inference(forward_demodulation,[status(thm)],[f482,f794]) ).
fof(f796,plain,
! [X0,X1,X2] : multiply(multiply(multiply(X0,double_divide(X1,X2)),X2),X1) = X0,
inference(forward_demodulation,[status(thm)],[f621,f795]) ).
fof(f959,plain,
! [X0,X1,X2] : inverse(double_divide(multiply(multiply(X0,X1),identity),multiply(X2,double_divide(X1,X0)))) = X2,
inference(paramodulation,[status(thm)],[f8,f744]) ).
fof(f960,plain,
! [X0,X1,X2] : multiply(multiply(X0,double_divide(X1,X2)),multiply(multiply(X2,X1),identity)) = X0,
inference(forward_demodulation,[status(thm)],[f21,f959]) ).
fof(f961,plain,
! [X0,X1,X2] : multiply(multiply(X0,double_divide(X1,X2)),multiply(X2,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f195,f960]) ).
fof(f1138,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),X2) = multiply(multiply(X0,double_divide(double_divide(X2,X1),X3)),X3),
inference(paramodulation,[status(thm)],[f796,f796]) ).
fof(f1209,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,double_divide(double_divide(X2,X1),X3)),X3),
inference(paramodulation,[status(thm)],[f796,f961]) ).
fof(f1210,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),X2),
inference(forward_demodulation,[status(thm)],[f1138,f1209]) ).
fof(f1328,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(backward_demodulation,[status(thm)],[f1210,f19]) ).
fof(f1329,plain,
( $false
| spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f1328]) ).
fof(f1330,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f1329]) ).
fof(f1364,plain,
( double_divide(a1,inverse(a1)) != identity
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f498,f13]) ).
fof(f1365,plain,
( identity != identity
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f9,f1364]) ).
fof(f1366,plain,
( $false
| spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f1365]) ).
fof(f1367,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f1366]) ).
fof(f1368,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f166,f16]) ).
fof(f1369,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f1368]) ).
fof(f1370,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f1369]) ).
fof(f1371,plain,
$false,
inference(sat_refutation,[status(thm)],[f20,f1330,f1367,f1370]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : GRP075-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n026.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 11:47:43 EDT 2023
% 0.18/0.34 % CPUTime :
% 0.18/0.34 % Drodi V3.5.1
% 0.18/0.36 % Refutation found
% 0.18/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.36/0.59 % Elapsed time: 0.031199 seconds
% 0.36/0.59 % CPU time: 0.154231 seconds
% 0.36/0.59 % Memory used: 13.549 MB
%------------------------------------------------------------------------------