TSTP Solution File: FLD064-3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD064-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 12:07:07 EDT 2023
% Result : Unsatisfiable 0.14s 0.44s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 44 ( 15 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 76 ( 36 ~; 36 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 37 (; 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] :
( sum(additive_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] :
( sum(additive_inverse(X),X,additive_identity)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [Y,X,Z] :
( sum(Y,X,Z)
| ~ sum(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X] :
( defined(additive_inverse(X))
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [U,V,X,Y,Z] :
( less_or_equal(U,V)
| ~ less_or_equal(X,Y)
| ~ sum(X,Z,U)
| ~ sum(Y,Z,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,hypothesis,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
~ less_or_equal(additive_inverse(a),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,plain,
! [X0] :
( sum(additive_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f35,plain,
! [X0] :
( sum(additive_inverse(X0),X0,additive_identity)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f36,plain,
! [X0,X1,X2] :
( sum(X0,X1,X2)
| ~ sum(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f50,plain,
defined(additive_identity),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f51,plain,
! [X0] :
( defined(additive_inverse(X0))
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f54,plain,
defined(multiplicative_identity),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f65,plain,
! [V,Y,Z] :
( ! [U,X] :
( less_or_equal(U,V)
| ~ less_or_equal(X,Y)
| ~ sum(X,Z,U) )
| ~ sum(Y,Z,V) ),
inference(miniscoping,[status(esa)],[f24]) ).
fof(f66,plain,
! [X0,X1,X2,X3,X4] :
( less_or_equal(X0,X1)
| ~ less_or_equal(X2,X3)
| ~ sum(X2,X4,X0)
| ~ sum(X3,X4,X1) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f69,plain,
defined(a),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f70,plain,
less_or_equal(additive_identity,a),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f71,plain,
~ less_or_equal(additive_inverse(a),additive_identity),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f102,plain,
( spl0_4
<=> less_or_equal(additive_inverse(a),additive_identity) ),
introduced(split_symbol_definition) ).
fof(f103,plain,
( less_or_equal(additive_inverse(a),additive_identity)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f118,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f103,f71]) ).
fof(f119,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f118]) ).
fof(f121,plain,
! [X0,X1,X2] :
( less_or_equal(X0,X1)
| ~ sum(additive_identity,X2,X0)
| ~ sum(a,X2,X1) ),
inference(resolution,[status(thm)],[f66,f70]) ).
fof(f186,plain,
( spl0_17
<=> defined(a) ),
introduced(split_symbol_definition) ).
fof(f188,plain,
( ~ defined(a)
| spl0_17 ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f191,plain,
! [X0,X1,X2] :
( less_or_equal(X0,X1)
| ~ sum(additive_identity,X2,X0)
| ~ sum(X2,a,X1) ),
inference(resolution,[status(thm)],[f121,f36]) ).
fof(f192,plain,
( $false
| spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f188,f69]) ).
fof(f193,plain,
spl0_17,
inference(contradiction_clause,[status(thm)],[f192]) ).
fof(f196,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
| ~ sum(X0,a,X1)
| ~ defined(X0) ),
inference(resolution,[status(thm)],[f191,f34]) ).
fof(f200,plain,
( spl0_19
<=> defined(additive_identity) ),
introduced(split_symbol_definition) ).
fof(f202,plain,
( ~ defined(additive_identity)
| spl0_19 ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f206,plain,
( $false
| spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f202,f50]) ).
fof(f207,plain,
spl0_19,
inference(contradiction_clause,[status(thm)],[f206]) ).
fof(f365,plain,
( spl0_26
<=> defined(multiplicative_identity) ),
introduced(split_symbol_definition) ).
fof(f367,plain,
( ~ defined(multiplicative_identity)
| spl0_26 ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f373,plain,
( $false
| spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f367,f54]) ).
fof(f374,plain,
spl0_26,
inference(contradiction_clause,[status(thm)],[f373]) ).
fof(f383,plain,
! [X0,X1] :
( less_or_equal(additive_inverse(X0),X1)
| ~ sum(additive_inverse(X0),a,X1)
| ~ defined(X0) ),
inference(resolution,[status(thm)],[f196,f51]) ).
fof(f477,plain,
( less_or_equal(additive_inverse(a),additive_identity)
| ~ defined(a)
| ~ defined(a) ),
inference(resolution,[status(thm)],[f383,f35]) ).
fof(f478,plain,
( spl0_4
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f477,f102,f186]) ).
fof(f487,plain,
$false,
inference(sat_refutation,[status(thm)],[f119,f193,f207,f374,f478]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : FLD064-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.04/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n010.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue May 30 10:52:07 EDT 2023
% 0.09/0.31 % CPUTime :
% 0.14/0.31 % Drodi V3.5.1
% 0.14/0.44 % Refutation found
% 0.14/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.46 % Elapsed time: 0.148172 seconds
% 0.14/0.46 % CPU time: 0.541307 seconds
% 0.14/0.46 % Memory used: 9.464 MB
%------------------------------------------------------------------------------