%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC370-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 33.07s 4.53s
% Output : CNFRefutation 33.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 16
% Syntax : Number of formulae : 52 ( 24 unt; 6 def)
% Number of atoms : 100 ( 11 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 89 ( 41 ~; 42 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [U] :
( segmentP(U,U)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [U] :
( app(nil,U) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f172,axiom,
! [U,V,W,X] :
( segmentP(app(app(X,U),W),V)
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(X)
| ~ ssList(W)
| ~ segmentP(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f186,negated_conjecture,
ssList(sk1),
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,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
~ segmentP(sk2,sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f205,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f254,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f272,plain,
! [X0] :
( ~ ssList(X0)
| X0 = app(nil,X0) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f402,plain,
! [X0,X1,X2,X3] :
( ~ ssList(X0)
| ~ ssList(X3)
| ~ ssList(X2)
| segmentP(app(app(X2,X0),X3),X1)
| ~ ssList(X1)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f428,plain,
ssList(sk1),
inference(cnf_transformation,[status(thm)],[f186]) ).
fof(f432,plain,
sk4 = sk2,
inference(cnf_transformation,[status(thm)],[f190]) ).
fof(f433,plain,
sk3 = sk1,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f434,plain,
ssList(sk5),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f435,plain,
sk4 = app(sk3,sk5),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f439,plain,
~ segmentP(sk2,sk1),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f502,plain,
segmentP(sk1,sk1),
inference(resolution,[status(thm)],[f428,f254]) ).
fof(f504,plain,
sk1 = app(nil,sk1),
inference(resolution,[status(thm)],[f428,f272]) ).
fof(f564,definition,
( sQ10_spl
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f566,plain,
( sQ10_spl
| ~ ssList(nil) ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f570,plain,
app(sk1,sk5) = sk4,
inference(forward_demodulation,[status(thm)],[f433,f435]) ).
fof(f593,plain,
sk2 = app(sk1,sk5),
inference(forward_demodulation,[status(thm)],[f432,f570]) ).
fof(f599,definition,
( sQ14_spl
<=> ssList(sk5) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f601,plain,
( sQ14_spl
| ~ ssList(sk5) ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f610,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f601,f434]) ).
fof(f611,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f610]) ).
fof(f646,plain,
! [X0,X1,X2] :
( ~ ssList(X2)
| segmentP(app(app(X2,X1),X0),sk1)
| ~ ssList(X1)
| ~ segmentP(X1,sk1)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f402,f428]) ).
fof(f729,definition,
( sQ23_spl
<=> ssList(sk1) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f731,plain,
( sQ23_spl
| ~ ssList(sk1) ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f733,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f566,f205]) ).
fof(f734,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f733]) ).
fof(f742,plain,
( sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f731,f428]) ).
fof(f743,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f742]) ).
fof(f784,definition,
( sQ30_spl
<=> segmentP(sk1,sk1) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f786,plain,
( sQ30_spl
| ~ segmentP(sk1,sk1) ),
inference(component_clause,[status(thm)],[f784]) ).
fof(f1637,plain,
( sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f786,f502]) ).
fof(f1638,plain,
sQ30_spl,
inference(contradiction_clause,[status(thm)],[f1637]) ).
fof(f2141,definition,
! [X0] :
( sQ83_spl
<=> ( segmentP(app(sk1,X0),sk1)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f2142,plain,
! [X0] :
( ~ sQ83_spl
| ~ ssList(X0)
| segmentP(app(sk1,X0),sk1) ),
inference(component_clause,[status(thm)],[f2141]) ).
fof(f2442,plain,
! [X0] :
( ~ ssList(nil)
| segmentP(app(sk1,X0),sk1)
| ~ ssList(sk1)
| ~ segmentP(sk1,sk1)
| ~ ssList(X0) ),
inference(paramodulation,[status(thm)],[f504,f646]) ).
fof(f2446,plain,
( ~ sQ10_spl
| ~ sQ23_spl
| ~ sQ30_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f2442,f2141,f784,f729,f564]) ).
fof(f2448,definition,
( sQ86_spl
<=> segmentP(sk2,sk1) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f2449,plain,
( ~ sQ86_spl
| segmentP(sk2,sk1) ),
inference(component_clause,[status(thm)],[f2448]) ).
fof(f3154,plain,
( ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2449,f439]) ).
fof(f3155,plain,
~ sQ86_spl,
inference(contradiction_clause,[status(thm)],[f3154]) ).
fof(f3157,plain,
( ~ sQ83_spl
| ~ ssList(sk5)
| segmentP(sk2,sk1) ),
inference(paramodulation,[status(thm)],[f593,f2142]) ).
fof(f3159,plain,
( ~ sQ83_spl
| ~ sQ14_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f3157,f2448,f599,f2141]) ).
fof(f3161,plain,
$false,
inference(sat_refutation,[status(thm)],[f611,f734,f743,f1638,f2446,f3155,f3159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWC370-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Mon Sep 21 08:19:08 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.31 % Drodi V4.1.1
% 33.07/4.53 % Refutation found
% 33.07/4.53 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 33.07/4.53 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 33.07/4.58 % Elapsed time: 4.263224 seconds
% 33.07/4.58 % CPU time: 33.646893 seconds
% 33.07/4.58 % Total memory used: 448.554 MB
% 33.07/4.58 % Net memory used: 414.307 MB
%------------------------------------------------------------------------------