%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC372-1 : 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 02:40:58 PM UTC 2026
% Result : Unsatisfiable 126.92s 16.74s
% Output : CNFRefutation 126.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 16
% Syntax : Number of formulae : 54 ( 25 unt; 6 def)
% Number of atoms : 112 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 111 ( 53 ~; 52 |; 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 : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f74,axiom,
! [U] :
( app(nil,U) = U
| ~ ssList(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f173,axiom,
! [U,V,W,X] :
( segmentP(X,V)
| ~ ssList(X)
| ~ ssList(V)
| ~ ssList(U)
| ~ ssList(W)
| app(app(U,V),W) != X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f188,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f189,negated_conjecture,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
app(sk3,sk5) = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
~ segmentP(sk2,sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f205,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f272,plain,
! [X0] :
( X0 = app(nil,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f403,plain,
! [V,X] :
( segmentP(X,V)
| ~ ssList(X)
| ~ ssList(V)
| ! [U] :
( ~ ssList(U)
| ! [W] :
( ~ ssList(W)
| app(app(U,V),W) != X ) ) ),
inference(miniscoping,[status(thm)],[f173]) ).
fof(f404,plain,
! [X0,X1,X2,X3] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| app(app(X0,X1),X2) != X3 ),
inference(cnf_transformation,[status(thm)],[f403]) ).
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,
ssList(sk5),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f435,plain,
app(sk3,sk5) = sk4,
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f439,plain,
~ segmentP(sk2,sk1),
inference(cnf_transformation,[status(thm)],[f196]) ).
fof(f478,plain,
! [X0,X1,X2] :
( ~ ssList(X2)
| segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(app(X0,X1),X2)) ),
inference(destructive_equality_resolution,[status(thm)],[f404]) ).
fof(f487,plain,
~ segmentP(sk2,sk3),
inference(forward_demodulation,[status(thm)],[f433,f439]) ).
fof(f510,definition,
( sQ6_spl
<=> ssList(sk5) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f512,plain,
( sQ6_spl
| ~ ssList(sk5) ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f513,definition,
( sQ7_spl
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f515,plain,
( sQ7_spl
| ~ ssList(sk3) ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f526,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f515,f430]) ).
fof(f527,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f526]) ).
fof(f528,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f512,f434]) ).
fof(f529,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f528]) ).
fof(f595,plain,
app(nil,sk3) = sk3,
inference(resolution,[status(thm)],[f272,f430]) ).
fof(f604,plain,
~ segmentP(sk4,sk3),
inference(forward_demodulation,[status(thm)],[f432,f487]) ).
fof(f633,definition,
( sQ24_spl
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f635,plain,
( sQ24_spl
| ~ ssList(nil) ),
inference(component_clause,[status(thm)],[f633]) ).
fof(f641,plain,
( sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f635,f205]) ).
fof(f642,plain,
sQ24_spl,
inference(contradiction_clause,[status(thm)],[f641]) ).
fof(f659,definition,
( sQ26_spl
<=> ssList(sk4) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f661,plain,
( sQ26_spl
| ~ ssList(sk4) ),
inference(component_clause,[status(thm)],[f659]) ).
fof(f672,plain,
( sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f661,f431]) ).
fof(f673,plain,
sQ26_spl,
inference(contradiction_clause,[status(thm)],[f672]) ).
fof(f1465,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(app(app(nil,sk3),X0),sk3)
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ ssList(app(sk3,X0)) ),
inference(paramodulation,[status(thm)],[f595,f478]) ).
fof(f1495,definition,
! [X0] :
( sQ112_spl
<=> ( ~ ssList(X0)
| segmentP(app(app(nil,sk3),X0),sk3)
| ~ ssList(app(sk3,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f1496,plain,
! [X0] :
( ~ sQ112_spl
| ~ ssList(X0)
| segmentP(app(app(nil,sk3),X0),sk3)
| ~ ssList(app(sk3,X0)) ),
inference(component_clause,[status(thm)],[f1495]) ).
fof(f1498,plain,
( ~ sQ7_spl
| ~ sQ24_spl
| sQ112_spl ),
inference(split_clause,[status(thm)],[f1465,f1495,f633,f513]) ).
fof(f1509,plain,
! [X0] :
( ~ sQ112_spl
| ~ ssList(X0)
| ~ ssList(app(sk3,X0))
| segmentP(app(sk3,X0),sk3) ),
inference(forward_demodulation,[status(thm)],[f595,f1496]) ).
fof(f16211,plain,
( ~ sQ112_spl
| ~ ssList(sk5)
| ~ ssList(sk4)
| segmentP(app(sk3,sk5),sk3) ),
inference(paramodulation,[status(thm)],[f435,f1509]) ).
fof(f16217,definition,
( sQ1200_spl
<=> segmentP(app(sk3,sk5),sk3) ),
introduced(definition,[new_symbols(definition,[sQ1200_spl])],[split_symbol_definition]) ).
fof(f16218,plain,
( ~ sQ1200_spl
| segmentP(app(sk3,sk5),sk3) ),
inference(component_clause,[status(thm)],[f16217]) ).
fof(f16220,plain,
( ~ sQ112_spl
| ~ sQ6_spl
| ~ sQ26_spl
| sQ1200_spl ),
inference(split_clause,[status(thm)],[f16211,f16217,f659,f510,f1495]) ).
fof(f16226,plain,
( ~ sQ1200_spl
| segmentP(sk4,sk3) ),
inference(forward_demodulation,[status(thm)],[f435,f16218]) ).
fof(f16227,plain,
( ~ sQ1200_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f16226,f604]) ).
fof(f16228,plain,
~ sQ1200_spl,
inference(contradiction_clause,[status(thm)],[f16227]) ).
fof(f16229,plain,
$false,
inference(sat_refutation,[status(thm)],[f527,f529,f642,f673,f1498,f16220,f16228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC372-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n020.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 08:20:18 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.46 % Drodi V4.1.1
% 126.92/16.74 % Refutation found
% 126.92/16.74 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 126.92/16.74 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.96/16.84 % Elapsed time: 16.372300 seconds
% 7.96/16.84 % CPU time: 128.998805 seconds
% 7.96/16.84 % Total memory used: 478.836 MB
% 7.96/16.84 % Net memory used: 444.141 MB
%------------------------------------------------------------------------------