TSTP Solution File: GRP087-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP087-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 12:10:10 EDT 2023
% Result : Unsatisfiable 0.07s 0.28s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 51 ( 29 unt; 0 def)
% Number of atoms : 79 ( 47 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 51 ( 23 ~; 24 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 71 (; 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : multiply(X,multiply(multiply(inverse(multiply(X,Y)),Z),Y)) = Z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox2/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)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f5,plain,
( spl0_0
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(split_symbol_definition) ).
fof(f7,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(component_clause,[status(thm)],[f5]) ).
fof(f8,plain,
( spl0_1
<=> multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(split_symbol_definition) ).
fof(f10,plain,
( multiply(multiply(inverse(b2),b2),a2) != a2
| spl0_1 ),
inference(component_clause,[status(thm)],[f8]) ).
fof(f11,plain,
( spl0_2
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(split_symbol_definition) ).
fof(f13,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(component_clause,[status(thm)],[f11]) ).
fof(f14,plain,
( spl0_3
<=> multiply(a4,b4) = multiply(b4,a4) ),
introduced(split_symbol_definition) ).
fof(f16,plain,
( multiply(a4,b4) != multiply(b4,a4)
| spl0_3 ),
inference(component_clause,[status(thm)],[f14]) ).
fof(f17,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f4,f5,f8,f11,f14]) ).
fof(f18,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(f27,plain,
! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X2,X1))) = X2,
inference(paramodulation,[status(thm)],[f18,f3]) ).
fof(f34,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X2,X1))),X2) = X0,
inference(paramodulation,[status(thm)],[f27,f27]) ).
fof(f44,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,X2)),X2)),X0)) = X1,
inference(paramodulation,[status(thm)],[f3,f34]) ).
fof(f53,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,X1)),multiply(X2,multiply(X3,X1))) = multiply(multiply(inverse(X0),X2),X3),
inference(paramodulation,[status(thm)],[f34,f18]) ).
fof(f57,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X2,X1))),multiply(X3,X2))) = X3,
inference(paramodulation,[status(thm)],[f34,f27]) ).
fof(f58,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X2,X1))),multiply(X3,X2)) = multiply(multiply(inverse(multiply(inverse(X0),X4)),X3),X4),
inference(paramodulation,[status(thm)],[f34,f18]) ).
fof(f60,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(backward_demodulation,[status(thm)],[f53,f27]) ).
fof(f67,plain,
! [X0,X1,X2] : multiply(inverse(multiply(inverse(multiply(X0,X1)),X1)),multiply(inverse(X2),X2)) = X0,
inference(paramodulation,[status(thm)],[f60,f34]) ).
fof(f69,plain,
! [X0,X1,X2,X3] : multiply(multiply(inverse(X0),X0),multiply(X1,X2)) = multiply(multiply(inverse(multiply(inverse(X2),X3)),X1),X3),
inference(paramodulation,[status(thm)],[f60,f18]) ).
fof(f70,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(multiply(inverse(multiply(inverse(X1),X2)),X0),X2),
inference(forward_demodulation,[status(thm)],[f60,f69]) ).
fof(f73,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X1,multiply(X0,X2)),
inference(backward_demodulation,[status(thm)],[f70,f18]) ).
fof(f74,plain,
! [X0,X1,X2,X3] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X2,X1))),multiply(X3,X2)) = multiply(X3,X0),
inference(backward_demodulation,[status(thm)],[f70,f58]) ).
fof(f78,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(backward_demodulation,[status(thm)],[f74,f57]) ).
fof(f82,plain,
! [X0,X1] : inverse(multiply(inverse(multiply(X0,X1)),X1)) = X0,
inference(backward_demodulation,[status(thm)],[f78,f44]) ).
fof(f84,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(backward_demodulation,[status(thm)],[f82,f67]) ).
fof(f237,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(inverse(X2),X2))) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f84,f73]) ).
fof(f238,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f84,f237]) ).
fof(f241,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(inverse(X0),X1),multiply(inverse(X2),X2))) = X1,
inference(paramodulation,[status(thm)],[f84,f3]) ).
fof(f242,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f84,f241]) ).
fof(f243,plain,
( $false
| spl0_3 ),
inference(backward_subsumption_resolution,[status(thm)],[f16,f238]) ).
fof(f244,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f243]) ).
fof(f246,plain,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f238,f13]) ).
fof(f247,plain,
( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f73,f246]) ).
fof(f248,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f238,f247]) ).
fof(f249,plain,
( $false
| spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f248]) ).
fof(f250,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f249]) ).
fof(f251,plain,
( multiply(a1,inverse(a1)) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f238,f7]) ).
fof(f252,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f238,f251]) ).
fof(f346,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f84,f242]) ).
fof(f347,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(forward_demodulation,[status(thm)],[f238,f346]) ).
fof(f358,plain,
( $false
| spl0_0 ),
inference(backward_subsumption_resolution,[status(thm)],[f252,f347]) ).
fof(f359,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f358]) ).
fof(f360,plain,
( multiply(a2,multiply(inverse(b2),b2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f238,f10]) ).
fof(f361,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f84,f360]) ).
fof(f362,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f361]) ).
fof(f363,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f362]) ).
fof(f364,plain,
$false,
inference(sat_refutation,[status(thm)],[f17,f244,f250,f359,f363]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GRP087-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.25 % Computer : n022.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue May 30 11:25:27 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % Drodi V3.5.1
% 0.07/0.28 % Refutation found
% 0.07/0.28 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.28 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.50 % Elapsed time: 0.027561 seconds
% 0.10/0.50 % CPU time: 0.037199 seconds
% 0.10/0.50 % Memory used: 3.972 MB
%------------------------------------------------------------------------------