TSTP Solution File: FLD033-3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD033-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 12:06:57 EDT 2023
% Result : Unsatisfiable 0.16s 0.38s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 14 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 57 ( 31 ~; 24 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 32 (; 32 !; 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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [Y,X,Z] :
( product(Y,X,Z)
| ~ product(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,hypothesis,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
product(m,a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
~ product(multiplicative_identity,m,multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,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(f40,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)],[f39]) ).
fof(f44,plain,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f45,plain,
! [X0,X1,X2] :
( product(X0,X1,X2)
| ~ product(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f71,plain,
defined(a),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f73,plain,
~ sum(additive_identity,a,additive_identity),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f74,plain,
product(m,a,a),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f75,plain,
~ product(multiplicative_identity,m,multiplicative_identity),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f85,plain,
~ product(m,multiplicative_identity,multiplicative_identity),
inference(resolution,[status(thm)],[f45,f75]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ~ product(m,X0,X1)
| ~ product(X0,X2,multiplicative_identity)
| ~ product(X1,X2,multiplicative_identity) ),
inference(resolution,[status(thm)],[f40,f85]) ).
fof(f111,plain,
! [X0] :
( ~ product(a,X0,multiplicative_identity)
| ~ product(a,X0,multiplicative_identity) ),
inference(resolution,[status(thm)],[f109,f74]) ).
fof(f112,plain,
! [X0] : ~ product(a,X0,multiplicative_identity),
inference(duplicate_literals_removal,[status(esa)],[f111]) ).
fof(f116,plain,
! [X0] : ~ product(X0,a,multiplicative_identity),
inference(resolution,[status(thm)],[f112,f45]) ).
fof(f255,plain,
( spl0_18
<=> product(multiplicative_inverse(a),a,multiplicative_identity) ),
introduced(split_symbol_definition) ).
fof(f256,plain,
( product(multiplicative_inverse(a),a,multiplicative_identity)
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,plain,
( spl0_19
<=> sum(additive_identity,a,additive_identity) ),
introduced(split_symbol_definition) ).
fof(f259,plain,
( sum(additive_identity,a,additive_identity)
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,plain,
( product(multiplicative_inverse(a),a,multiplicative_identity)
| sum(additive_identity,a,additive_identity) ),
inference(resolution,[status(thm)],[f44,f71]) ).
fof(f262,plain,
( spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f261,f255,f258]) ).
fof(f279,plain,
( $false
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f256,f116]) ).
fof(f280,plain,
~ spl0_18,
inference(contradiction_clause,[status(thm)],[f279]) ).
fof(f281,plain,
( $false
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f259,f73]) ).
fof(f282,plain,
~ spl0_19,
inference(contradiction_clause,[status(thm)],[f281]) ).
fof(f283,plain,
$false,
inference(sat_refutation,[status(thm)],[f262,f280,f282]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : FLD033-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n014.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:58:18 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 0.16/0.38 % Refutation found
% 0.16/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.37/0.61 % Elapsed time: 0.079484 seconds
% 0.37/0.61 % CPU time: 0.185353 seconds
% 0.37/0.61 % Memory used: 4.049 MB
%------------------------------------------------------------------------------