%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC369-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 02:40:58 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of formulae : 54 ( 15 unt; 7 def)
% Number of atoms : 102 ( 19 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 88 ( 40 ~; 41 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [U] :
( segmentP(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(f187,negated_conjecture,
ssList(sk2),
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,
~ segmentP(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,
( segmentP(sk4,sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f203,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f251,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f298,plain,
! [X0,X1] :
( X1 = X0
| neq(X1,X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f427,plain,
ssList(sk2),
inference(cnf_transformation,[status(thm)],[f187]) ).
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,
~ segmentP(sk2,sk1),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f433,plain,
( nil != sk4
| nil = sk3 ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f435,plain,
( segmentP(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(f448,plain,
( sQ3_spl
| nil != sk4 ),
inference(component_clause,[status(thm)],[f446]) ).
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
<=> segmentP(sk4,sk3) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f458,plain,
( ~ sQ6_spl
| segmentP(sk4,sk3) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,plain,
( sQ6_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f435,f450,f457]) ).
fof(f473,plain,
( ~ sQ2_spl
| sk1 = nil ),
inference(backward_demodulation,[status(thm)],[f444,f431]) ).
fof(f477,definition,
( sQ7_spl
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f479,plain,
( sQ7_spl
| ~ ssList(nil) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f485,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f479,f203]) ).
fof(f486,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f485]) ).
fof(f488,plain,
( ~ sQ2_spl
| ~ segmentP(sk2,nil) ),
inference(forward_demodulation,[status(thm)],[f473,f432]) ).
fof(f489,plain,
( ~ sQ2_spl
| ~ ssList(sk2) ),
inference(resolution,[status(thm)],[f488,f251]) ).
fof(f490,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f489,f427]) ).
fof(f491,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f490]) ).
fof(f492,plain,
( sQ3_spl
| nil != sk2 ),
inference(forward_demodulation,[status(thm)],[f430,f448]) ).
fof(f494,plain,
( sQ4_spl
| ~ neq(sk2,nil) ),
inference(forward_demodulation,[status(thm)],[f430,f452]) ).
fof(f495,plain,
( sQ4_spl
| sk2 = nil
| ~ ssList(sk2)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[f494,f298]) ).
fof(f496,definition,
( sQ9_spl
<=> ssList(sk2) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( sQ9_spl
| ~ ssList(sk2) ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,definition,
( sQ10_spl
<=> sk2 = nil ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( ~ sQ10_spl
| sk2 = nil ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,plain,
( sQ4_spl
| sQ10_spl
| ~ sQ9_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f495,f477,f496,f499,f450]) ).
fof(f503,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f498,f427]) ).
fof(f504,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f503]) ).
fof(f505,plain,
( ~ sQ10_spl
| sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f500,f492]) ).
fof(f506,plain,
( ~ sQ10_spl
| sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f505]) ).
fof(f508,plain,
( ~ sQ6_spl
| segmentP(sk2,sk3) ),
inference(forward_demodulation,[status(thm)],[f430,f458]) ).
fof(f509,plain,
( ~ sQ6_spl
| segmentP(sk2,sk1) ),
inference(forward_demodulation,[status(thm)],[f431,f508]) ).
fof(f511,plain,
( ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f509,f432]) ).
fof(f512,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f511]) ).
fof(f513,plain,
$false,
inference(sat_refutation,[status(thm)],[f449,f460,f486,f491,f502,f504,f506,f512]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC369-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/5.37 % Computer : n014.cluster.edu
% 0.12/5.37 % Model : x86_64 x86_64
% 0.12/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.37 % Memory : 8046.5625MB
% 0.12/5.37 % OS : Linux 6.8.0-71-generic
% 0.12/5.37 % CPULimit : 300
% 0.12/5.37 % WCLimit : 300
% 0.12/5.37 % DateTime : Mon Sep 21 08:19:09 UTC 2026
% 0.12/5.37 % CPUTime :
% 0.12/5.39 % Drodi V4.1.1
% 0.14/5.41 % Refutation found
% 0.14/5.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.43 % Elapsed time: 0.053039 seconds
% 0.14/5.43 % CPU time: 0.144972 seconds
% 0.14/5.43 % Total memory used: 74.731 MB
% 0.14/5.43 % Net memory used: 74.633 MB
%------------------------------------------------------------------------------