TSTP Solution File: GRP086-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP086-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 0.16s 0.39s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 54 ( 32 unt; 0 def)
% Number of atoms : 82 ( 50 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 51 ( 23 ~; 24 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 87 (; 87 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : multiply(X,multiply(multiply(Y,Z),inverse(multiply(X,Z)))) = Y,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = X1,
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(f19,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(X1,multiply(multiply(X2,X3),inverse(multiply(X0,X3)))),inverse(X2))) = X1,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f20,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(paramodulation,[status(thm)],[f3,f19]) ).
fof(f27,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X0))) = X1,
inference(paramodulation,[status(thm)],[f20,f19]) ).
fof(f38,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X1,X2),inverse(X1))) = multiply(X0,X2),
inference(paramodulation,[status(thm)],[f27,f19]) ).
fof(f64,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,inverse(X2))) = multiply(X0,multiply(multiply(X1,X3),inverse(multiply(X2,X3)))),
inference(paramodulation,[status(thm)],[f3,f38]) ).
fof(f150,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(X2,inverse(X0))) = multiply(X2,X1),
inference(paramodulation,[status(thm)],[f27,f64]) ).
fof(f193,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(multiply(X0,X2),X1),
inference(paramodulation,[status(thm)],[f38,f150]) ).
fof(f255,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X1,inverse(X1)),X2)) = multiply(X0,X2),
inference(paramodulation,[status(thm)],[f193,f38]) ).
fof(f260,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X1,inverse(X0)),X2)) = multiply(X1,X2),
inference(paramodulation,[status(thm)],[f193,f27]) ).
fof(f304,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,inverse(X2))) = multiply(X0,inverse(multiply(X2,inverse(X1)))),
inference(paramodulation,[status(thm)],[f64,f255]) ).
fof(f305,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(paramodulation,[status(thm)],[f27,f255]) ).
fof(f362,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(X3,multiply(multiply(X1,inverse(multiply(X3,inverse(X0)))),X2)),
inference(paramodulation,[status(thm)],[f260,f260]) ).
fof(f363,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(X3,multiply(multiply(X1,multiply(X0,inverse(X3))),X2)),
inference(forward_demodulation,[status(thm)],[f304,f362]) ).
fof(f370,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(X2,multiply(X1,inverse(multiply(X2,inverse(X0))))),
inference(paramodulation,[status(thm)],[f27,f260]) ).
fof(f371,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(X2,multiply(X1,multiply(X0,inverse(X2)))),
inference(forward_demodulation,[status(thm)],[f304,f370]) ).
fof(f409,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f38,f371]) ).
fof(f410,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f27,f371]) ).
fof(f411,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),X2) = multiply(X3,multiply(X2,multiply(multiply(X0,inverse(X3)),X1))),
inference(paramodulation,[status(thm)],[f193,f371]) ).
fof(f412,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(X3,multiply(X1,multiply(multiply(X0,inverse(X3)),X2))),
inference(forward_demodulation,[status(thm)],[f409,f411]) ).
fof(f413,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(X3,multiply(X1,multiply(X0,multiply(X2,inverse(X3))))),
inference(forward_demodulation,[status(thm)],[f409,f412]) ).
fof(f420,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(X0,multiply(X2,multiply(X1,inverse(multiply(X3,inverse(X3)))))),
inference(paramodulation,[status(thm)],[f371,f255]) ).
fof(f421,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(X0,multiply(X2,multiply(X1,multiply(X3,inverse(X3))))),
inference(forward_demodulation,[status(thm)],[f304,f420]) ).
fof(f422,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X0,multiply(X2,X1)),
inference(forward_demodulation,[status(thm)],[f20,f421]) ).
fof(f488,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(X3,multiply(X1,multiply(X2,multiply(X0,inverse(X3))))),
inference(backward_demodulation,[status(thm)],[f409,f363]) ).
fof(f489,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(X2,multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f413,f488]) ).
fof(f504,plain,
( $false
| spl0_3 ),
inference(backward_subsumption_resolution,[status(thm)],[f16,f410]) ).
fof(f505,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f504]) ).
fof(f507,plain,
( multiply(a3,multiply(c3,b3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f409,f13]) ).
fof(f508,plain,
( multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3))
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f422,f507]) ).
fof(f509,plain,
( $false
| spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f508]) ).
fof(f510,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f509]) ).
fof(f511,plain,
( multiply(a1,inverse(a1)) != multiply(inverse(b1),b1)
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f410,f7]) ).
fof(f512,plain,
( multiply(a1,inverse(a1)) != multiply(b1,inverse(b1))
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f410,f511]) ).
fof(f513,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f512,f305]) ).
fof(f514,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f513]) ).
fof(f516,plain,
( multiply(inverse(b2),multiply(a2,b2)) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f409,f10]) ).
fof(f517,plain,
( multiply(b2,multiply(a2,inverse(b2))) != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f489,f516]) ).
fof(f518,plain,
( a2 != a2
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f27,f517]) ).
fof(f519,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f518]) ).
fof(f520,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f519]) ).
fof(f521,plain,
$false,
inference(sat_refutation,[status(thm)],[f17,f505,f510,f514,f520]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP086-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.11/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n009.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 11:28:31 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Drodi V3.5.1
% 0.16/0.39 % Refutation found
% 0.16/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.40 % Elapsed time: 0.080988 seconds
% 0.16/0.40 % CPU time: 0.241881 seconds
% 0.16/0.40 % Memory used: 25.178 MB
%------------------------------------------------------------------------------