TSTP Solution File: SWC351-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC351-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 20:45:27 EDT 2024
% Result : Unsatisfiable 0.11s 0.34s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 18 unt; 0 def)
% Number of atoms : 70 ( 11 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 66 ( 32 ~; 31 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f85,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| ssList(app(V,U)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f144,axiom,
! [U,V,W] :
( app(U,V) != W
| ~ ssList(V)
| ~ ssList(U)
| ~ ssList(W)
| frontsegP(W,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,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
~ frontsegP(sk2,sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f284,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f85]) ).
fof(f358,plain,
! [U,W] :
( ! [V] :
( app(U,V) != W
| ~ ssList(V) )
| ~ ssList(U)
| ~ ssList(W)
| frontsegP(W,U) ),
inference(miniscoping,[status(esa)],[f144]) ).
fof(f359,plain,
! [X0,X1,X2] :
( app(X0,X1) != X2
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| frontsegP(X2,X0) ),
inference(cnf_transformation,[status(esa)],[f358]) ).
fof(f429,plain,
ssList(sk1),
inference(cnf_transformation,[status(esa)],[f186]) ).
fof(f433,plain,
sk2 = sk4,
inference(cnf_transformation,[status(esa)],[f190]) ).
fof(f434,plain,
sk1 = sk3,
inference(cnf_transformation,[status(esa)],[f191]) ).
fof(f436,plain,
ssList(sk5),
inference(cnf_transformation,[status(esa)],[f193]) ).
fof(f437,plain,
app(sk3,sk5) = sk4,
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f441,plain,
~ frontsegP(sk2,sk1),
inference(cnf_transformation,[status(esa)],[f197]) ).
fof(f472,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X1,X0))
| frontsegP(app(X1,X0),X1) ),
inference(destructive_equality_resolution,[status(esa)],[f359]) ).
fof(f499,plain,
app(sk1,sk5) = sk4,
inference(forward_demodulation,[status(thm)],[f434,f437]) ).
fof(f500,plain,
app(sk1,sk5) = sk2,
inference(forward_demodulation,[status(thm)],[f433,f499]) ).
fof(f515,plain,
( spl0_6
<=> ssList(sk5) ),
introduced(split_symbol_definition) ).
fof(f517,plain,
( ~ ssList(sk5)
| spl0_6 ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,plain,
( spl0_7
<=> ssList(sk1) ),
introduced(split_symbol_definition) ).
fof(f520,plain,
( ~ ssList(sk1)
| spl0_7 ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f526,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f520,f429]) ).
fof(f527,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f526]) ).
fof(f528,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f517,f436]) ).
fof(f529,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f528]) ).
fof(f581,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| frontsegP(app(X1,X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f472,f284]) ).
fof(f585,plain,
( spl0_15
<=> frontsegP(sk2,sk1) ),
introduced(split_symbol_definition) ).
fof(f586,plain,
( frontsegP(sk2,sk1)
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f588,plain,
( ~ ssList(sk5)
| ~ ssList(sk1)
| frontsegP(sk2,sk1) ),
inference(paramodulation,[status(thm)],[f500,f581]) ).
fof(f589,plain,
( ~ spl0_6
| ~ spl0_7
| spl0_15 ),
inference(split_clause,[status(thm)],[f588,f515,f518,f585]) ).
fof(f590,plain,
( $false
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f586,f441]) ).
fof(f591,plain,
~ spl0_15,
inference(contradiction_clause,[status(thm)],[f590]) ).
fof(f592,plain,
$false,
inference(sat_refutation,[status(thm)],[f527,f529,f589,f591]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWC351-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n022.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Apr 29 23:58:43 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 0.11/0.34 % Refutation found
% 0.11/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.36 % Elapsed time: 0.027485 seconds
% 0.11/0.36 % CPU time: 0.039297 seconds
% 0.11/0.36 % Total memory used: 14.432 MB
% 0.11/0.36 % Net memory used: 14.407 MB
%------------------------------------------------------------------------------