TSTP Solution File: SWC042-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC042-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 12:39:00 EDT 2023
% Result : Unsatisfiable 0.22s 0.63s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 21 unt; 0 def)
% Number of atoms : 57 ( 22 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 42 ( 20 ~; 19 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 6 (; 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f118,axiom,
! [U,V] :
( app(U,V) != nil
| ~ ssList(V)
| ~ ssList(U)
| nil = U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f186,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f190,negated_conjecture,
nil = sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f325,plain,
! [U] :
( ! [V] :
( app(U,V) != nil
| ~ ssList(V) )
| ~ ssList(U)
| nil = U ),
inference(miniscoping,[status(esa)],[f118]) ).
fof(f326,plain,
! [X0,X1] :
( app(X0,X1) != nil
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[status(esa)],[f325]) ).
fof(f429,plain,
ssList(sk1),
inference(cnf_transformation,[status(esa)],[f186]) ).
fof(f433,plain,
nil = sk2,
inference(cnf_transformation,[status(esa)],[f190]) ).
fof(f434,plain,
sk2 = sk4,
inference(cnf_transformation,[status(esa)],[f191]) ).
fof(f435,plain,
sk1 = sk3,
inference(cnf_transformation,[status(esa)],[f192]) ).
fof(f436,plain,
nil != sk1,
inference(cnf_transformation,[status(esa)],[f193]) ).
fof(f437,plain,
ssList(sk5),
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f438,plain,
app(sk3,sk5) = sk4,
inference(cnf_transformation,[status(esa)],[f195]) ).
fof(f487,plain,
nil = sk4,
inference(forward_demodulation,[status(thm)],[f433,f434]) ).
fof(f491,plain,
app(sk1,sk5) = sk4,
inference(forward_demodulation,[status(thm)],[f435,f438]) ).
fof(f492,plain,
app(sk1,sk5) = nil,
inference(forward_demodulation,[status(thm)],[f487,f491]) ).
fof(f504,plain,
( spl0_4
<=> ssList(sk5) ),
introduced(split_symbol_definition) ).
fof(f506,plain,
( ~ ssList(sk5)
| spl0_4 ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f507,plain,
( spl0_5
<=> ssList(sk1) ),
introduced(split_symbol_definition) ).
fof(f509,plain,
( ~ ssList(sk1)
| spl0_5 ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f515,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f509,f429]) ).
fof(f516,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f515]) ).
fof(f517,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f506,f437]) ).
fof(f518,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f517]) ).
fof(f536,plain,
( spl0_9
<=> nil = sk1 ),
introduced(split_symbol_definition) ).
fof(f537,plain,
( nil = sk1
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,plain,
( ~ ssList(sk5)
| ~ ssList(sk1)
| nil = sk1 ),
inference(resolution,[status(thm)],[f326,f492]) ).
fof(f540,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_9 ),
inference(split_clause,[status(thm)],[f539,f504,f507,f536]) ).
fof(f545,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f537,f436]) ).
fof(f546,plain,
~ spl0_9,
inference(contradiction_clause,[status(thm)],[f545]) ).
fof(f547,plain,
$false,
inference(sat_refutation,[status(thm)],[f516,f518,f540,f546]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC042-1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:48:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 0.22/0.63 % Refutation found
% 0.22/0.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.63 % Elapsed time: 0.065869 seconds
% 0.22/0.63 % CPU time: 0.034239 seconds
% 0.22/0.63 % Memory used: 4.066 MB
%------------------------------------------------------------------------------