TSTP Solution File: SWC406-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC406-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 20:45:40 EDT 2024
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 13 unt; 0 def)
% Number of atoms : 41 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 16 ~; 14 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f196,negated_conjecture,
! [A] :
( ~ ssItem(A)
| ~ memberP(sk3,A)
| memberP(sk4,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
memberP(sk1,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f200,negated_conjecture,
~ memberP(sk2,sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f435,plain,
sk2 = sk4,
inference(cnf_transformation,[status(esa)],[f190]) ).
fof(f436,plain,
sk1 = sk3,
inference(cnf_transformation,[status(esa)],[f191]) ).
fof(f441,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(sk3,X0)
| memberP(sk4,X0) ),
inference(cnf_transformation,[status(esa)],[f196]) ).
fof(f443,plain,
ssItem(sk6),
inference(cnf_transformation,[status(esa)],[f198]) ).
fof(f444,plain,
memberP(sk1,sk6),
inference(cnf_transformation,[status(esa)],[f199]) ).
fof(f445,plain,
~ memberP(sk2,sk6),
inference(cnf_transformation,[status(esa)],[f200]) ).
fof(f484,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(sk1,X0)
| memberP(sk4,X0) ),
inference(forward_demodulation,[status(thm)],[f436,f441]) ).
fof(f485,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(sk1,X0)
| memberP(sk2,X0) ),
inference(forward_demodulation,[status(thm)],[f435,f484]) ).
fof(f486,plain,
( spl0_2
<=> ssItem(sk6) ),
introduced(split_symbol_definition) ).
fof(f488,plain,
( ~ ssItem(sk6)
| spl0_2 ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,plain,
( spl0_3
<=> memberP(sk2,sk6) ),
introduced(split_symbol_definition) ).
fof(f490,plain,
( memberP(sk2,sk6)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,plain,
( ~ ssItem(sk6)
| memberP(sk2,sk6) ),
inference(resolution,[status(thm)],[f485,f444]) ).
fof(f493,plain,
( ~ spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f492,f486,f489]) ).
fof(f494,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f488,f443]) ).
fof(f495,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f494]) ).
fof(f496,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f490,f445]) ).
fof(f497,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f496]) ).
fof(f498,plain,
$false,
inference(sat_refutation,[status(thm)],[f493,f495,f497]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC406-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n028.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 00:27:29 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.37 % Drodi V3.6.0
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.39 % Elapsed time: 0.035192 seconds
% 0.13/0.39 % CPU time: 0.048296 seconds
% 0.13/0.39 % Total memory used: 14.217 MB
% 0.13/0.39 % Net memory used: 14.192 MB
%------------------------------------------------------------------------------