TSTP Solution File: FLD035-3 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD035-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 12:06:58 EDT 2023
% Result : Unsatisfiable 3.81s 0.89s
% Output : CNFRefutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 56 ( 19 unt; 0 def)
% Number of atoms : 114 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 115 ( 57 ~; 54 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 61 (; 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X,V,W,Y,U,Z] :
( product(X,V,W)
| ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(U,Z,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [U,Z,W,X,Y,V] :
( product(U,Z,W)
| ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(X,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( product(multiplicative_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] :
( product(multiplicative_inverse(X),X,multiplicative_identity)
| sum(additive_identity,X,additive_identity)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [Y,X,Z] :
( product(Y,X,Z)
| ~ product(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,hypothesis,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
product(a,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
product(b,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
~ sum(additive_identity,c,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ product(multiplicative_identity,a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,plain,
! [W,U,Z] :
( ! [V,Y] :
( ! [X] :
( product(X,V,W)
| ~ product(X,Y,U) )
| ~ product(Y,Z,V) )
| ~ product(U,Z,W) ),
inference(miniscoping,[status(esa)],[f6]) ).
fof(f43,plain,
! [X0,X1,X2,X3,X4,X5] :
( product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| ~ product(X4,X5,X2) ),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f44,plain,
! [W,X,V] :
( ! [Z,Y] :
( ! [U] :
( product(U,Z,W)
| ~ product(X,Y,U) )
| ~ product(Y,Z,V) )
| ~ product(X,V,W) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f45,plain,
! [X0,X1,X2,X3,X4,X5] :
( product(X0,X1,X2)
| ~ product(X3,X4,X0)
| ~ product(X4,X1,X5)
| ~ product(X3,X5,X2) ),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f46,plain,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f47,plain,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f48,plain,
! [X0,X1,X2] :
( product(X0,X1,X2)
| ~ product(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f74,plain,
defined(a),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f75,plain,
defined(b),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f76,plain,
defined(c),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f78,plain,
product(a,c,u),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f79,plain,
product(b,c,u),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f80,plain,
~ sum(additive_identity,c,additive_identity),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f81,plain,
~ product(multiplicative_identity,a,b),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ~ product(multiplicative_identity,X0,X1)
| ~ product(X0,X2,a)
| ~ product(X1,X2,b) ),
inference(resolution,[status(thm)],[f43,f81]) ).
fof(f106,plain,
! [X0,X1] :
( ~ product(X0,X1,a)
| ~ product(X0,X1,b)
| ~ defined(X0) ),
inference(resolution,[status(thm)],[f105,f46]) ).
fof(f114,plain,
( spl0_4
<=> defined(b) ),
introduced(split_symbol_definition) ).
fof(f116,plain,
( ~ defined(b)
| spl0_4 ),
inference(component_clause,[status(thm)],[f114]) ).
fof(f120,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f116,f75]) ).
fof(f121,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f120]) ).
fof(f487,plain,
! [X0] :
( product(X0,multiplicative_identity,X0)
| ~ defined(X0) ),
inference(resolution,[status(thm)],[f48,f46]) ).
fof(f532,plain,
product(b,multiplicative_identity,b),
inference(resolution,[status(thm)],[f487,f75]) ).
fof(f533,plain,
product(a,multiplicative_identity,a),
inference(resolution,[status(thm)],[f487,f74]) ).
fof(f561,plain,
( spl0_49
<=> product(b,multiplicative_identity,a) ),
introduced(split_symbol_definition) ).
fof(f563,plain,
( ~ product(b,multiplicative_identity,a)
| spl0_49 ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f564,plain,
( ~ product(b,multiplicative_identity,a)
| ~ defined(b) ),
inference(resolution,[status(thm)],[f532,f106]) ).
fof(f565,plain,
( ~ spl0_49
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f564,f561,f114]) ).
fof(f571,plain,
! [X0,X1,X2] :
( product(X0,X1,a)
| ~ product(a,X2,X0)
| ~ product(X2,X1,multiplicative_identity) ),
inference(resolution,[status(thm)],[f533,f45]) ).
fof(f638,plain,
! [X0,X1,X2] :
( ~ product(b,X0,X1)
| ~ product(X0,X2,multiplicative_identity)
| ~ product(X1,X2,a)
| spl0_49 ),
inference(resolution,[status(thm)],[f563,f43]) ).
fof(f816,plain,
( spl0_66
<=> product(multiplicative_inverse(c),c,multiplicative_identity) ),
introduced(split_symbol_definition) ).
fof(f817,plain,
( product(multiplicative_inverse(c),c,multiplicative_identity)
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f816]) ).
fof(f819,plain,
( spl0_67
<=> sum(additive_identity,c,additive_identity) ),
introduced(split_symbol_definition) ).
fof(f820,plain,
( sum(additive_identity,c,additive_identity)
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f819]) ).
fof(f822,plain,
( product(multiplicative_inverse(c),c,multiplicative_identity)
| sum(additive_identity,c,additive_identity) ),
inference(resolution,[status(thm)],[f47,f76]) ).
fof(f823,plain,
( spl0_66
| spl0_67 ),
inference(split_clause,[status(thm)],[f822,f816,f819]) ).
fof(f921,plain,
! [X0] :
( ~ product(c,X0,multiplicative_identity)
| ~ product(u,X0,a)
| spl0_49 ),
inference(resolution,[status(thm)],[f638,f79]) ).
fof(f1129,plain,
! [X0] :
( product(u,X0,a)
| ~ product(c,X0,multiplicative_identity) ),
inference(resolution,[status(thm)],[f571,f78]) ).
fof(f1130,plain,
! [X0] :
( ~ product(c,X0,multiplicative_identity)
| spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f1129,f921]) ).
fof(f2461,plain,
( product(c,multiplicative_inverse(c),multiplicative_identity)
| ~ spl0_66 ),
inference(resolution,[status(thm)],[f817,f48]) ).
fof(f2462,plain,
( $false
| spl0_49
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f2461,f1130]) ).
fof(f2463,plain,
( spl0_49
| ~ spl0_66 ),
inference(contradiction_clause,[status(thm)],[f2462]) ).
fof(f2464,plain,
( $false
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f820,f80]) ).
fof(f2465,plain,
~ spl0_67,
inference(contradiction_clause,[status(thm)],[f2464]) ).
fof(f2466,plain,
$false,
inference(sat_refutation,[status(thm)],[f121,f565,f823,f2463,f2465]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : FLD035-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n012.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 10:55:55 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.5.1
% 3.81/0.89 % Refutation found
% 3.81/0.89 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.81/0.89 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.81/0.91 % Elapsed time: 0.606703 seconds
% 3.81/0.91 % CPU time: 4.002895 seconds
% 3.81/0.91 % Memory used: 31.795 MB
%------------------------------------------------------------------------------