%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC385-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 02:41:02 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 12 unt; 4 def)
% Number of atoms : 55 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 18 ~; 18 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 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(f192,negated_conjecture,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
segmentP(sk4,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ singletonP(sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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,
neq(sk2,nil),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f433,plain,
segmentP(sk4,sk3),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f434,plain,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f435,plain,
( ~ segmentP(sk2,sk1)
| ~ singletonP(sk1) ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f443,definition,
( sQ2_spl
<=> singletonP(sk3) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( ~ sQ2_spl
| singletonP(sk3) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,definition,
( sQ3_spl
<=> neq(sk4,nil) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f448,plain,
( sQ3_spl
| ~ neq(sk4,nil) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,plain,
( ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f434,f443,f446]) ).
fof(f450,definition,
( sQ4_spl
<=> singletonP(sk1) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( sQ4_spl
| ~ singletonP(sk1) ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,definition,
( sQ5_spl
<=> segmentP(sk2,sk1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f455,plain,
( sQ5_spl
| ~ segmentP(sk2,sk1) ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,plain,
( ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f435,f450,f453]) ).
fof(f488,plain,
( sQ4_spl
| ~ singletonP(sk3) ),
inference(forward_demodulation,[status(thm)],[f431,f452]) ).
fof(f489,plain,
( ~ sQ2_spl
| sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f444,f488]) ).
fof(f490,plain,
( ~ sQ2_spl
| sQ4_spl ),
inference(contradiction_clause,[status(thm)],[f489]) ).
fof(f491,plain,
( sQ5_spl
| ~ segmentP(sk4,sk1) ),
inference(forward_demodulation,[status(thm)],[f430,f455]) ).
fof(f492,plain,
( sQ5_spl
| ~ segmentP(sk4,sk3) ),
inference(forward_demodulation,[status(thm)],[f431,f491]) ).
fof(f494,plain,
neq(sk4,nil),
inference(forward_demodulation,[status(thm)],[f430,f432]) ).
fof(f495,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f492,f433]) ).
fof(f496,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f495]) ).
fof(f499,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f448,f494]) ).
fof(f500,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f499]) ).
fof(f501,plain,
$false,
inference(sat_refutation,[status(thm)],[f449,f456,f490,f496,f500]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC385-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n009.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:20:28 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.049822 seconds
% 0.14/0.42 % CPU time: 0.083725 seconds
% 0.14/0.42 % Total memory used: 20.445 MB
% 0.14/0.42 % Net memory used: 20.421 MB
%------------------------------------------------------------------------------