TSTP Solution File: RNG005-2 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : RNG005-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 : Tue Apr 30 20:37:40 EDT 2024
% Result : Unsatisfiable 63.66s 8.59s
% Output : CNFRefutation 63.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 13 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 50 ( 25 ~; 23 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X] : sum(additive_inverse(X),X,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [Y,X,V1,Z,V2,V3,V4] :
( ~ product(Y,X,V1)
| ~ product(Z,X,V2)
| ~ sum(Y,Z,V3)
| ~ product(V3,X,V4)
| sum(V1,V2,V4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X] : product(additive_identity,X,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,hypothesis,
product(a,b,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,hypothesis,
product(additive_inverse(a),b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
~ sum(c,d,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,plain,
! [X0] : sum(additive_inverse(X0),X0,additive_identity),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f68,plain,
! [V1,V2,V4] :
( ! [X,V3] :
( ! [Y,Z] :
( ~ product(Y,X,V1)
| ~ product(Z,X,V2)
| ~ sum(Y,Z,V3) )
| ~ product(V3,X,V4) )
| sum(V1,V2,V4) ),
inference(miniscoping,[status(esa)],[f23]) ).
fof(f69,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X4)
| ~ sum(X0,X3,X5)
| ~ product(X5,X1,X6)
| sum(X2,X4,X6) ),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f76,plain,
! [X0] : product(additive_identity,X0,additive_identity),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f78,plain,
product(a,b,d),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f79,plain,
product(additive_inverse(a),b,c),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f80,plain,
~ sum(c,d,additive_identity),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f429,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,b,X1)
| ~ sum(X0,a,X2)
| ~ product(X2,b,X3)
| sum(X1,d,X3) ),
inference(resolution,[status(thm)],[f69,f78]) ).
fof(f7130,plain,
! [X0,X1] :
( ~ product(X0,b,X1)
| ~ sum(X0,a,additive_identity)
| sum(X1,d,additive_identity) ),
inference(resolution,[status(thm)],[f429,f76]) ).
fof(f38182,plain,
( spl0_251
<=> sum(c,d,additive_identity) ),
introduced(split_symbol_definition) ).
fof(f38183,plain,
( sum(c,d,additive_identity)
| ~ spl0_251 ),
inference(component_clause,[status(thm)],[f38182]) ).
fof(f86715,plain,
( spl0_566
<=> sum(additive_inverse(a),a,additive_identity) ),
introduced(split_symbol_definition) ).
fof(f86717,plain,
( ~ sum(additive_inverse(a),a,additive_identity)
| spl0_566 ),
inference(component_clause,[status(thm)],[f86715]) ).
fof(f86718,plain,
( ~ sum(additive_inverse(a),a,additive_identity)
| sum(c,d,additive_identity) ),
inference(resolution,[status(thm)],[f7130,f79]) ).
fof(f86719,plain,
( ~ spl0_566
| spl0_251 ),
inference(split_clause,[status(thm)],[f86718,f86715,f38182]) ).
fof(f86802,plain,
( $false
| spl0_566 ),
inference(forward_subsumption_resolution,[status(thm)],[f86717,f53]) ).
fof(f86803,plain,
spl0_566,
inference(contradiction_clause,[status(thm)],[f86802]) ).
fof(f86804,plain,
( $false
| ~ spl0_251 ),
inference(forward_subsumption_resolution,[status(thm)],[f38183,f80]) ).
fof(f86805,plain,
~ spl0_251,
inference(contradiction_clause,[status(thm)],[f86804]) ).
fof(f86806,plain,
$false,
inference(sat_refutation,[status(thm)],[f86719,f86803,f86805]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : RNG005-2 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n026.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % 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 : Mon Apr 29 22:39:19 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Drodi V3.6.0
% 63.66/8.59 % Refutation found
% 63.66/8.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 63.66/8.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 63.66/8.60 % Elapsed time: 8.287070 seconds
% 63.66/8.60 % CPU time: 63.919077 seconds
% 63.66/8.60 % Total memory used: 526.900 MB
% 63.66/8.60 % Net memory used: 416.439 MB
%------------------------------------------------------------------------------