TSTP Solution File: SWC205-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC205-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:44:56 EDT 2024
% Result : Unsatisfiable 0.07s 0.27s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of formulae : 42 ( 15 unt; 0 def)
% Number of atoms : 77 ( 19 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 64 ( 29 ~; 30 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f100,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| neq(V,U)
| V = U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f186,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f190,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
~ neq(sk1,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( nil = sk4
| nil != sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f203,plain,
ssList(nil),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f298,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
inference(cnf_transformation,[status(esa)],[f100]) ).
fof(f426,plain,
ssList(sk1),
inference(cnf_transformation,[status(esa)],[f186]) ).
fof(f430,plain,
sk2 = sk4,
inference(cnf_transformation,[status(esa)],[f190]) ).
fof(f431,plain,
sk1 = sk3,
inference(cnf_transformation,[status(esa)],[f191]) ).
fof(f432,plain,
neq(sk2,nil),
inference(cnf_transformation,[status(esa)],[f192]) ).
fof(f433,plain,
~ neq(sk1,nil),
inference(cnf_transformation,[status(esa)],[f193]) ).
fof(f434,plain,
( nil = sk4
| nil != sk3 ),
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f443,plain,
( spl0_2
<=> nil = sk4 ),
introduced(split_symbol_definition) ).
fof(f444,plain,
( nil = sk4
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,plain,
( spl0_3
<=> nil = sk3 ),
introduced(split_symbol_definition) ).
fof(f448,plain,
( nil != sk3
| spl0_3 ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,plain,
( spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f434,f443,f446]) ).
fof(f482,plain,
( spl0_4
<=> ssList(nil) ),
introduced(split_symbol_definition) ).
fof(f484,plain,
( ~ ssList(nil)
| spl0_4 ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,plain,
( spl0_5
<=> ssList(sk1) ),
introduced(split_symbol_definition) ).
fof(f487,plain,
( ~ ssList(sk1)
| spl0_5 ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,plain,
( spl0_6
<=> sk1 = nil ),
introduced(split_symbol_definition) ).
fof(f489,plain,
( sk1 = nil
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,plain,
( ~ ssList(nil)
| ~ ssList(sk1)
| sk1 = nil ),
inference(resolution,[status(thm)],[f298,f433]) ).
fof(f492,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(split_clause,[status(thm)],[f491,f482,f485,f488]) ).
fof(f493,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f487,f426]) ).
fof(f494,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f493]) ).
fof(f495,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f484,f203]) ).
fof(f496,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f495]) ).
fof(f509,plain,
( nil = sk2
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f430,f444]) ).
fof(f510,plain,
( neq(nil,nil)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f509,f432]) ).
fof(f528,plain,
( ~ neq(nil,nil)
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f489,f433]) ).
fof(f533,plain,
( nil = sk3
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f489,f431]) ).
fof(f534,plain,
( $false
| spl0_3
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f533,f448]) ).
fof(f535,plain,
( spl0_3
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f534]) ).
fof(f536,plain,
( $false
| ~ spl0_6
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f510,f528]) ).
fof(f537,plain,
( ~ spl0_6
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f536]) ).
fof(f538,plain,
$false,
inference(sat_refutation,[status(thm)],[f449,f492,f494,f496,f535,f537]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SWC205-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n008.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue Apr 30 00:08:27 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % Drodi V3.6.0
% 0.07/0.27 % Refutation found
% 0.07/0.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.07/0.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.28 % Elapsed time: 0.017540 seconds
% 0.07/0.28 % CPU time: 0.027027 seconds
% 0.07/0.28 % Total memory used: 14.268 MB
% 0.07/0.28 % Net memory used: 14.243 MB
%------------------------------------------------------------------------------