%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC041-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 02:39:42 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of formulae : 43 ( 22 unt; 4 def)
% Number of atoms : 80 ( 30 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 72 ( 35 ~; 33 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f118,axiom,
! [U,V] :
( nil = U
| ~ ssList(U)
| ~ ssList(V)
| app(U,V) != nil ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f188,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f190,negated_conjecture,
nil = sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f325,plain,
! [U] :
( nil = U
| ~ ssList(U)
| ! [V] :
( ~ ssList(V)
| app(U,V) != nil ) ),
inference(miniscoping,[status(thm)],[f118]) ).
fof(f326,plain,
! [X0,X1] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != nil ),
inference(cnf_transformation,[status(thm)],[f325]) ).
fof(f431,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f433,plain,
nil = sk2,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f434,plain,
sk2 = sk4,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f435,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f436,plain,
nil != sk1,
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f437,plain,
ssList(sk5),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f438,plain,
app(sk3,sk5) = sk4,
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f450,definition,
( sQ2_spl
<=> nil = sk4 ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( ~ sQ2_spl
| nil = sk4 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f452,plain,
( sQ2_spl
| nil != sk4 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f486,plain,
nil = sk4,
inference(backward_demodulation,[status(thm)],[f434,f433]) ).
fof(f489,plain,
nil != sk3,
inference(forward_demodulation,[status(thm)],[f435,f436]) ).
fof(f506,definition,
( sQ4_spl
<=> ssList(sk5) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f508,plain,
( sQ4_spl
| ~ ssList(sk5) ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,definition,
( sQ5_spl
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f511,plain,
( sQ5_spl
| ~ ssList(sk3) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f521,plain,
! [X0,X1] :
( ~ sQ2_spl
| nil = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != sk4 ),
inference(forward_demodulation,[status(thm)],[f451,f326]) ).
fof(f522,plain,
! [X0,X1] :
( ~ sQ2_spl
| sk4 = X0
| ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) != sk4 ),
inference(forward_demodulation,[status(thm)],[f451,f521]) ).
fof(f524,plain,
( ~ sQ2_spl
| sk4 = sk3
| ~ ssList(sk3)
| ~ ssList(sk5) ),
inference(resolution,[status(thm)],[f522,f438]) ).
fof(f531,definition,
( sQ8_spl
<=> sk4 = sk3 ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f532,plain,
( ~ sQ8_spl
| sk4 = sk3 ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f534,plain,
( ~ sQ2_spl
| sQ8_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f524,f506,f509,f531,f450]) ).
fof(f537,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f508,f437]) ).
fof(f538,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f537]) ).
fof(f549,plain,
sk4 != sk3,
inference(forward_demodulation,[status(thm)],[f486,f489]) ).
fof(f552,plain,
( sQ2_spl
| sk4 != sk4 ),
inference(forward_demodulation,[status(thm)],[f486,f452]) ).
fof(f553,plain,
( sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f552]) ).
fof(f554,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f553]) ).
fof(f555,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f511,f431]) ).
fof(f556,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f555]) ).
fof(f557,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f532,f549]) ).
fof(f558,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f557]) ).
fof(f559,plain,
$false,
inference(sat_refutation,[status(thm)],[f534,f538,f554,f556,f558]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC041-1 : 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 : n020.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 07:52:03 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.41 % Elapsed time: 0.040127 seconds
% 0.14/0.41 % CPU time: 0.089207 seconds
% 0.14/0.41 % Total memory used: 20.519 MB
% 0.14/0.41 % Net memory used: 20.493 MB
%------------------------------------------------------------------------------