%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC352-1 : 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 02:40:54 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.47s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 46 ( 17 unt; 6 def)
% Number of atoms : 84 ( 14 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 71 ( 33 ~; 32 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 7 ( 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,axiom,
! [U] :
( frontsegP(U,nil)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f100,axiom,
! [U,V] :
( V = U
| neq(V,U)
| ~ ssList(V)
| ~ ssList(U) ),
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,
~ frontsegP(sk2,sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
( frontsegP(sk4,sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f203,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f255,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f298,plain,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f429,plain,
ssList(sk4),
inference(cnf_transformation,[status(thm)],[f189]) ).
fof(f430,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f431,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f432,plain,
~ frontsegP(sk2,sk1),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f433,plain,
( nil != sk4
| nil = sk3 ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f435,plain,
( frontsegP(sk4,sk3)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f443,definition,
( sQ2_spl
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( ~ sQ2_spl
| nil = sk3 ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,definition,
( sQ3_spl
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f449,plain,
( ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f433,f443,f446]) ).
fof(f450,definition,
( sQ4_spl
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( sQ4_spl
| ~ neq(sk4,nil) ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f457,definition,
( sQ6_spl
<=> frontsegP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f458,plain,
( ~ sQ6_spl
| frontsegP(sk4,sk3) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,plain,
( sQ6_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f435,f450,f457]) ).
fof(f493,plain,
~ frontsegP(sk4,sk1),
inference(forward_demodulation,[status(thm)],[f430,f432]) ).
fof(f494,plain,
~ frontsegP(sk4,sk3),
inference(forward_demodulation,[status(thm)],[f431,f493]) ).
fof(f496,plain,
! [X0] :
( ~ sQ2_spl
| frontsegP(X0,sk3)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f444,f255]) ).
fof(f497,plain,
( ~ sQ2_spl
| ~ ssList(sk4) ),
inference(resolution,[status(thm)],[f496,f494]) ).
fof(f498,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f497,f429]) ).
fof(f499,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f498]) ).
fof(f501,definition,
( sQ7_spl
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( sQ7_spl
| ~ ssList(nil) ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f508,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f503,f203]) ).
fof(f509,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f508]) ).
fof(f512,plain,
( sQ4_spl
| sk4 = nil
| ~ ssList(sk4)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f298,f452]) ).
fof(f515,definition,
( sQ9_spl
<=> ssList(sk4) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f517,plain,
( sQ9_spl
| ~ ssList(sk4) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,plain,
( sQ4_spl
| sQ3_spl
| ~ sQ9_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f512,f501,f515,f446,f450]) ).
fof(f519,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f517,f429]) ).
fof(f520,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f519]) ).
fof(f521,plain,
( ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f458,f494]) ).
fof(f522,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f521]) ).
fof(f523,plain,
$false,
inference(sat_refutation,[status(thm)],[f449,f460,f499,f509,f518,f520,f522]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC352-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n003.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 08:19:46 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.46 % Drodi V4.1.1
% 0.16/0.47 % Refutation found
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.44/0.56 % Elapsed time: 0.103695 seconds
% 0.44/0.56 % CPU time: 0.127779 seconds
% 0.44/0.56 % Total memory used: 13.655 MB
% 0.44/0.56 % Net memory used: 13.643 MB
%------------------------------------------------------------------------------