TSTP Solution File: FLD018-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD018-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:06:52 EDT 2023
% Result : Unsatisfiable 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 16
% Syntax : Number of formulae : 56 ( 15 unt; 0 def)
% Number of atoms : 114 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 112 ( 54 ~; 53 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 41 (; 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X] :
( equalish(add(additive_identity,X),X)
| ~ defined(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( equalish(add(X,additive_inverse(X)),additive_identity)
| ~ defined(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
defined(additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] :
( defined(additive_inverse(X))
| ~ defined(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Y] :
( equalish(X,Y)
| ~ equalish(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X,Z,Y] :
( equalish(X,Z)
| ~ equalish(X,Y)
| ~ equalish(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X,Z,Y] :
( equalish(add(X,Z),add(Y,Z))
| ~ defined(Z)
| ~ equalish(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
equalish(a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
~ equalish(additive_inverse(a),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,plain,
! [X0] :
( equalish(add(additive_identity,X0),X0)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f34,plain,
! [X0] :
( equalish(add(X0,additive_inverse(X0)),additive_identity)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f47,plain,
defined(additive_identity),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f48,plain,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f51,plain,
defined(multiplicative_identity),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f63,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f64,plain,
! [Z,Y] :
( ! [X] :
( equalish(X,Z)
| ~ equalish(X,Y) )
| ~ equalish(Y,Z) ),
inference(miniscoping,[status(esa)],[f23]) ).
fof(f65,plain,
! [X0,X1,X2] :
( equalish(X0,X1)
| ~ equalish(X0,X2)
| ~ equalish(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f64]) ).
fof(f66,plain,
! [X,Y] :
( ! [Z] :
( equalish(add(X,Z),add(Y,Z))
| ~ defined(Z) )
| ~ equalish(X,Y) ),
inference(miniscoping,[status(esa)],[f24]) ).
fof(f67,plain,
! [X0,X1,X2] :
( equalish(add(X0,X1),add(X2,X1))
| ~ defined(X1)
| ~ equalish(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f73,plain,
defined(a),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f74,plain,
equalish(a,additive_identity),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f75,plain,
~ equalish(additive_inverse(a),additive_identity),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f77,plain,
equalish(additive_identity,a),
inference(resolution,[status(thm)],[f63,f74]) ).
fof(f80,plain,
! [X0] :
( equalish(X0,a)
| ~ equalish(X0,additive_identity) ),
inference(resolution,[status(thm)],[f65,f77]) ).
fof(f81,plain,
! [X0,X1] :
( equalish(X0,X1)
| ~ equalish(X0,add(additive_identity,X1))
| ~ defined(X1) ),
inference(resolution,[status(thm)],[f65,f33]) ).
fof(f83,plain,
( spl0_0
<=> equalish(add(additive_identity,additive_identity),a) ),
introduced(split_symbol_definition) ).
fof(f84,plain,
( equalish(add(additive_identity,additive_identity),a)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f83]) ).
fof(f86,plain,
( spl0_1
<=> defined(additive_identity) ),
introduced(split_symbol_definition) ).
fof(f88,plain,
( ~ defined(additive_identity)
| spl0_1 ),
inference(component_clause,[status(thm)],[f86]) ).
fof(f89,plain,
( equalish(add(additive_identity,additive_identity),a)
| ~ defined(additive_identity) ),
inference(resolution,[status(thm)],[f80,f33]) ).
fof(f90,plain,
( spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f89,f83,f86]) ).
fof(f97,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f88,f47]) ).
fof(f98,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f97]) ).
fof(f104,plain,
( spl0_4
<=> defined(a) ),
introduced(split_symbol_definition) ).
fof(f106,plain,
( ~ defined(a)
| spl0_4 ),
inference(component_clause,[status(thm)],[f104]) ).
fof(f110,plain,
( spl0_5
<=> equalish(a,additive_identity) ),
introduced(split_symbol_definition) ).
fof(f115,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f106,f73]) ).
fof(f116,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f115]) ).
fof(f122,plain,
! [X0,X1] :
( ~ defined(X0)
| equalish(X1,additive_identity)
| ~ equalish(X1,add(X0,additive_inverse(X0))) ),
inference(resolution,[status(thm)],[f34,f65]) ).
fof(f184,plain,
( equalish(a,add(additive_identity,additive_identity))
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f84,f63]) ).
fof(f191,plain,
( equalish(a,additive_identity)
| ~ defined(additive_identity)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f184,f81]) ).
fof(f192,plain,
( spl0_5
| ~ spl0_1
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f191,f110,f86,f83]) ).
fof(f601,plain,
( spl0_44
<=> defined(multiplicative_identity) ),
introduced(split_symbol_definition) ).
fof(f603,plain,
( ~ defined(multiplicative_identity)
| spl0_44 ),
inference(component_clause,[status(thm)],[f601]) ).
fof(f608,plain,
( $false
| spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f603,f51]) ).
fof(f609,plain,
spl0_44,
inference(contradiction_clause,[status(thm)],[f608]) ).
fof(f623,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ equalish(X1,additive_identity)
| equalish(add(X1,X0),X0)
| ~ defined(X0) ),
inference(resolution,[status(thm)],[f67,f81]) ).
fof(f624,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ equalish(X1,additive_identity)
| equalish(add(X1,X0),X0) ),
inference(duplicate_literals_removal,[status(esa)],[f623]) ).
fof(f660,plain,
! [X0,X1] :
( ~ defined(X0)
| ~ equalish(X1,additive_identity)
| equalish(X0,add(X1,X0)) ),
inference(resolution,[status(thm)],[f624,f63]) ).
fof(f672,plain,
! [X0] :
( ~ defined(additive_inverse(X0))
| ~ equalish(X0,additive_identity)
| ~ defined(X0)
| equalish(additive_inverse(X0),additive_identity) ),
inference(resolution,[status(thm)],[f660,f122]) ).
fof(f673,plain,
! [X0] :
( ~ equalish(X0,additive_identity)
| ~ defined(X0)
| equalish(additive_inverse(X0),additive_identity) ),
inference(forward_subsumption_resolution,[status(thm)],[f672,f48]) ).
fof(f691,plain,
( ~ equalish(a,additive_identity)
| ~ defined(a) ),
inference(resolution,[status(thm)],[f673,f75]) ).
fof(f692,plain,
( ~ spl0_5
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f691,f110,f104]) ).
fof(f698,plain,
$false,
inference(sat_refutation,[status(thm)],[f90,f98,f116,f192,f609,f692]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : FLD018-1 : 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 : n029.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 11:16:36 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.38 % Elapsed time: 0.079714 seconds
% 0.14/0.38 % CPU time: 0.151582 seconds
% 0.14/0.38 % Memory used: 5.424 MB
%------------------------------------------------------------------------------