TSTP Solution File: SWC189-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC189-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 20:44:53 EDT 2024
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 13
% Syntax : Number of formulae : 40 ( 20 unt; 0 def)
% Number of atoms : 78 ( 15 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 70 ( 32 ~; 33 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
! [A,B,C,D] :
( ~ ssItem(A)
| ~ ssItem(B)
| ~ ssList(C)
| ~ ssList(D)
| A = B
| app(app(app(C,cons(A,nil)),cons(B,nil)),D) != sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
ssItem(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
sk5 != sk6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f434,plain,
sk1 = sk3,
inference(cnf_transformation,[status(esa)],[f191]) ).
fof(f435,plain,
! [X0,X1,X2,X3] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| X0 = X1
| app(app(app(X2,cons(X0,nil)),cons(X1,nil)),X3) != sk3 ),
inference(cnf_transformation,[status(esa)],[f192]) ).
fof(f436,plain,
ssItem(sk5),
inference(cnf_transformation,[status(esa)],[f193]) ).
fof(f437,plain,
ssItem(sk6),
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f438,plain,
ssList(sk7),
inference(cnf_transformation,[status(esa)],[f195]) ).
fof(f439,plain,
ssList(sk8),
inference(cnf_transformation,[status(esa)],[f196]) ).
fof(f440,plain,
app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8) = sk1,
inference(cnf_transformation,[status(esa)],[f197]) ).
fof(f441,plain,
sk5 != sk6,
inference(cnf_transformation,[status(esa)],[f198]) ).
fof(f494,plain,
( spl0_3
<=> ssList(sk8) ),
introduced(split_symbol_definition) ).
fof(f496,plain,
( ~ ssList(sk8)
| spl0_3 ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f515,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f496,f439]) ).
fof(f516,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f515]) ).
fof(f517,plain,
( spl0_8
<=> ssItem(sk6) ),
introduced(split_symbol_definition) ).
fof(f519,plain,
( ~ ssItem(sk6)
| spl0_8 ),
inference(component_clause,[status(thm)],[f517]) ).
fof(f527,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f519,f437]) ).
fof(f528,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f527]) ).
fof(f532,plain,
( spl0_11
<=> ssList(sk7) ),
introduced(split_symbol_definition) ).
fof(f534,plain,
( ~ ssList(sk7)
| spl0_11 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f537,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f534,f438]) ).
fof(f538,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f537]) ).
fof(f557,plain,
! [X0,X1,X2,X3] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| X0 = X1
| app(app(app(X2,cons(X0,nil)),cons(X1,nil)),X3) != sk1 ),
inference(forward_demodulation,[status(thm)],[f434,f435]) ).
fof(f558,plain,
( spl0_12
<=> ssItem(sk5) ),
introduced(split_symbol_definition) ).
fof(f560,plain,
( ~ ssItem(sk5)
| spl0_12 ),
inference(component_clause,[status(thm)],[f558]) ).
fof(f561,plain,
( spl0_13
<=> sk5 = sk6 ),
introduced(split_symbol_definition) ).
fof(f562,plain,
( sk5 = sk6
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f564,plain,
( ~ ssItem(sk5)
| ~ ssItem(sk6)
| ~ ssList(sk7)
| ~ ssList(sk8)
| sk5 = sk6 ),
inference(resolution,[status(thm)],[f557,f440]) ).
fof(f565,plain,
( ~ spl0_12
| ~ spl0_8
| ~ spl0_11
| ~ spl0_3
| spl0_13 ),
inference(split_clause,[status(thm)],[f564,f558,f517,f532,f494,f561]) ).
fof(f571,plain,
( $false
| spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f560,f436]) ).
fof(f572,plain,
spl0_12,
inference(contradiction_clause,[status(thm)],[f571]) ).
fof(f573,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f562,f441]) ).
fof(f574,plain,
~ spl0_13,
inference(contradiction_clause,[status(thm)],[f573]) ).
fof(f575,plain,
$false,
inference(sat_refutation,[status(thm)],[f516,f528,f538,f565,f572,f574]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC189-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n009.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 Apr 30 00:07:41 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38 % Elapsed time: 0.027129 seconds
% 0.13/0.38 % CPU time: 0.046711 seconds
% 0.13/0.38 % Total memory used: 14.412 MB
% 0.13/0.38 % Net memory used: 14.391 MB
%------------------------------------------------------------------------------