%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC009-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:39:34 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 45 ( 19 unt; 5 def)
% Number of atoms : 98 ( 27 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 107 ( 54 ~; 48 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f73,axiom,
! [U] :
( app(U,nil) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f188,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f189,negated_conjecture,
ssList(sk4),
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,
! [A,B,C] :
( app(A,C) != sk1
| app(app(A,B),C) != sk2
| ~ ssList(C)
| ~ ssList(B)
| ~ ssList(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f205,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f271,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f430,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f431,plain,
ssList(sk4),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f432,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f433,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f434,plain,
! [A,C] :
( app(A,C) != sk1
| ! [B] :
( app(app(A,B),C) != sk2
| ~ ssList(C)
| ~ ssList(B)
| ~ ssList(A) ) ),
inference(miniscoping,[status(thm)],[f192]) ).
fof(f435,plain,
! [X0,X1,X2] :
( app(X0,X2) != sk1
| app(app(X0,X1),X2) != sk2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f436,plain,
ssList(sk5),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f437,plain,
app(sk3,sk5) = sk4,
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f499,plain,
! [X0,X1,X2] :
( app(X0,X2) != sk1
| app(app(X0,X1),X2) != sk4
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f432,f435]) ).
fof(f500,plain,
! [X0,X1,X2] :
( app(X0,X2) != sk3
| app(app(X0,X1),X2) != sk4
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f433,f499]) ).
fof(f501,plain,
! [X0] :
( app(sk3,X0) != sk3
| app(sk4,X0) != sk4
| ~ ssList(X0)
| ~ ssList(sk5)
| ~ ssList(sk3) ),
inference(paramodulation,[status(thm)],[f437,f500]) ).
fof(f502,definition,
( sQ4_spl
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f504,plain,
( sQ4_spl
| ~ ssList(sk3) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,definition,
( sQ5_spl
<=> ssList(sk5) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( sQ5_spl
| ~ ssList(sk5) ),
inference(component_clause,[status(thm)],[f505]) ).
fof(f508,definition,
! [X0] :
( sQ6_spl
<=> ( app(sk3,X0) != sk3
| app(sk4,X0) != sk4
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f509,plain,
! [X0] :
( ~ sQ6_spl
| app(sk3,X0) != sk3
| app(sk4,X0) != sk4
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,plain,
( sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f501,f502,f505,f508]) ).
fof(f528,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f507,f436]) ).
fof(f529,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f528]) ).
fof(f530,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f504,f430]) ).
fof(f531,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f530]) ).
fof(f534,plain,
( ~ sQ6_spl
| ~ ssList(sk3)
| app(sk4,nil) != sk4
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f509,f271]) ).
fof(f536,definition,
( sQ11_spl
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f538,plain,
( sQ11_spl
| ~ ssList(nil) ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,definition,
( sQ12_spl
<=> app(sk4,nil) = sk4 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f541,plain,
( sQ12_spl
| app(sk4,nil) != sk4 ),
inference(component_clause,[status(thm)],[f539]) ).
fof(f542,plain,
( ~ sQ6_spl
| ~ sQ4_spl
| ~ sQ12_spl
| ~ sQ11_spl ),
inference(split_clause,[status(thm)],[f534,f536,f539,f502,f508]) ).
fof(f544,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f538,f205]) ).
fof(f545,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f544]) ).
fof(f546,plain,
( sQ12_spl
| ~ ssList(sk4) ),
inference(resolution,[status(thm)],[f541,f271]) ).
fof(f547,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f546,f431]) ).
fof(f548,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f547]) ).
fof(f549,plain,
$false,
inference(sat_refutation,[status(thm)],[f511,f529,f531,f542,f545,f548]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC009-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 07:50:30 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.42 % Elapsed time: 0.054969 seconds
% 0.12/0.42 % CPU time: 0.155021 seconds
% 0.12/0.42 % Total memory used: 108.632 MB
% 0.12/0.42 % Net memory used: 108.457 MB
%------------------------------------------------------------------------------