%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC086-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 02:39:54 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of formulae : 53 ( 13 unt; 5 def)
% Number of atoms : 116 ( 21 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 121 ( 58 ~; 58 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,axiom,
! [U] :
( segmentP(U,U)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f115,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| ~ neq(U,V)
| U != V ),
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,
neq(sk2,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
! [A] :
( ~ segmentP(sk1,A)
| ~ segmentP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( neq(sk3,nil)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
( segmentP(sk4,sk3)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
( neq(sk3,nil)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
( segmentP(sk4,sk3)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f254,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f318,plain,
! [U] :
( ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| ~ neq(U,V)
| U != V ) ),
inference(miniscoping,[status(thm)],[f115]) ).
fof(f319,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ neq(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f318]) ).
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,
neq(sk2,nil),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f435,plain,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f436,plain,
( neq(sk3,nil)
| nil = sk4 ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f437,plain,
( segmentP(sk4,sk3)
| nil = sk4 ),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f438,plain,
( neq(sk3,nil)
| nil = sk3 ),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f439,plain,
( segmentP(sk4,sk3)
| nil = sk3 ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f447,definition,
( sQ2_spl
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f448,plain,
( ~ sQ2_spl
| nil = sk4 ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,definition,
( sQ3_spl
<=> neq(sk3,nil) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f436,f447,f450]) ).
fof(f454,definition,
( sQ4_spl
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( sQ4_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f437,f447,f454]) ).
fof(f458,definition,
( sQ5_spl
<=> nil = sk3 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( ~ sQ5_spl
| nil = sk3 ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,plain,
( sQ3_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f438,f458,f450]) ).
fof(f462,plain,
( sQ4_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f439,f458,f454]) ).
fof(f470,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(destructive_equality_resolution,[status(thm)],[f319]) ).
fof(f471,plain,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f470]) ).
fof(f495,plain,
( ~ sQ5_spl
| ~ sQ2_spl
| nil = sk4 ),
inference(backward_demodulation,[status(thm)],[f498,f459]) ).
fof(f498,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| sk3 = sk4 ),
inference(forward_demodulation,[status(thm)],[f459,f448]) ).
fof(f499,plain,
neq(sk4,nil),
inference(forward_demodulation,[status(thm)],[f432,f434]) ).
fof(f500,plain,
( ~ sQ5_spl
| ~ sQ2_spl
| neq(sk4,sk4) ),
inference(forward_demodulation,[status(thm)],[f495,f499]) ).
fof(f501,plain,
( ~ sQ5_spl
| ~ sQ2_spl
| ~ ssList(sk4) ),
inference(resolution,[status(thm)],[f471,f500]) ).
fof(f502,plain,
( ~ sQ5_spl
| ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f501,f431]) ).
fof(f503,plain,
( ~ sQ5_spl
| ~ sQ2_spl ),
inference(contradiction_clause,[status(thm)],[f502]) ).
fof(f504,plain,
! [X0] :
( ~ segmentP(sk1,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f432,f435]) ).
fof(f505,plain,
! [X0] :
( ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f433,f504]) ).
fof(f510,plain,
( ~ ssList(sk3)
| ~ segmentP(sk4,sk3)
| ~ neq(sk3,nil)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f505,f254]) ).
fof(f511,definition,
( sQ6_spl
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f513,plain,
( sQ6_spl
| ~ ssList(sk3) ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f542,plain,
( ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f510,f511,f450,f454]) ).
fof(f543,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f513,f430]) ).
fof(f544,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f543]) ).
fof(f545,plain,
$false,
inference(sat_refutation,[status(thm)],[f453,f457,f461,f462,f503,f542,f544]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC086-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n019.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 07:54:49 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.069686 seconds
% 0.13/0.43 % CPU time: 0.172261 seconds
% 0.13/0.43 % Total memory used: 108.454 MB
% 0.13/0.43 % Net memory used: 108.307 MB
%------------------------------------------------------------------------------