%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC271-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 02:40:35 PM UTC 2026
% Result : Unsatisfiable 13.24s 7.29s
% Output : CNFRefutation 13.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 25
% Syntax : Number of formulae : 81 ( 28 unt; 12 def)
% Number of atoms : 191 ( 10 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 202 ( 92 ~; 98 |; 0 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 20 ( 18 usr; 13 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,axiom,
! [U] : ssList(skaf68(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [U] : ssList(skaf67(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [U] : ssList(skaf66(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [U] : ssItem(skaf65(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [U] : ssItem(skaf64(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f91,axiom,
! [U] :
( totalorderedP(U)
| ~ ssList(U)
| ~ leq(skaf64(U),skaf65(U)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f103,axiom,
! [U,V] :
( leq(U,V)
| ~ ssItem(U)
| ~ ssItem(V)
| ~ lt(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f164,axiom,
! [U] :
( app(app(skaf66(U),cons(skaf64(U),skaf67(U))),cons(skaf65(U),skaf68(U))) = U
| totalorderedP(U)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f181,axiom,
! [U,V,W,X,Y,Z] :
( lt(V,X)
| ~ ssList(Z)
| ~ strictorderedP(Z)
| ~ ssItem(V)
| ~ ssItem(X)
| ~ ssList(U)
| ~ ssList(W)
| ~ ssList(Y)
| app(app(U,cons(V,W)),cons(X,Y)) != Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f188,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
strictorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
~ totalorderedP(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f222,plain,
! [X0] : ssList(skaf68(X0)),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f223,plain,
! [X0] : ssList(skaf67(X0)),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f224,plain,
! [X0] : ssList(skaf66(X0)),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f225,plain,
! [X0] : ssItem(skaf65(X0)),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f226,plain,
! [X0] : ssItem(skaf64(X0)),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f287,plain,
! [X0] :
( totalorderedP(X0)
| ~ ssList(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f301,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f390,plain,
! [X0] :
( app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f164]) ).
fof(f416,plain,
! [V,X] :
( lt(V,X)
| ! [Z] :
( ~ ssList(Z)
| ~ strictorderedP(Z)
| ~ ssItem(V)
| ~ ssItem(X)
| ! [U] :
( ~ ssList(U)
| ! [W] :
( ~ ssList(W)
| ! [Y] :
( ~ ssList(Y)
| app(app(U,cons(V,W)),cons(X,Y)) != Z ) ) ) ) ),
inference(miniscoping,[status(thm)],[f181]) ).
fof(f417,plain,
! [X0,X1,X2,X3,X4,X5] :
( lt(X1,X3)
| ~ ssList(X5)
| ~ strictorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f428,plain,
ssList(sk3),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f431,plain,
sk1 = sk3,
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f433,plain,
strictorderedP(sk3),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f435,plain,
~ totalorderedP(sk1),
inference(cnf_transformation,[status(thm)],[f195]) ).
fof(f467,plain,
! [X0,X1,X2,X3,X4] :
( lt(X4,X3)
| ~ ssList(app(app(X2,cons(X4,X1)),cons(X3,X0)))
| ~ strictorderedP(app(app(X2,cons(X4,X1)),cons(X3,X0)))
| ~ ssItem(X4)
| ~ ssItem(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f417]) ).
fof(f474,plain,
~ totalorderedP(sk3),
inference(forward_demodulation,[status(thm)],[f431,f435]) ).
fof(f497,definition,
( sQ5_spl
<=> ssList(sk3) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f499,plain,
( sQ5_spl
| ~ ssList(sk3) ),
inference(component_clause,[status(thm)],[f497]) ).
fof(f509,definition,
( sQ8_spl
<=> strictorderedP(sk3) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f511,plain,
( sQ8_spl
| ~ strictorderedP(sk3) ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f513,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f499,f428]) ).
fof(f514,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f513]) ).
fof(f515,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f511,f433]) ).
fof(f516,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f515]) ).
fof(f2634,definition,
( sQ256_spl
<=> totalorderedP(sk3) ),
introduced(definition,[new_symbols(definition,[sQ256_spl])],[split_symbol_definition]) ).
fof(f2635,plain,
( ~ sQ256_spl
| totalorderedP(sk3) ),
inference(component_clause,[status(thm)],[f2634]) ).
fof(f3780,plain,
( app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))) = sk3
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f390,f474]) ).
fof(f3781,definition,
( sQ355_spl
<=> app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))) = sk3 ),
introduced(definition,[new_symbols(definition,[sQ355_spl])],[split_symbol_definition]) ).
fof(f3782,plain,
( ~ sQ355_spl
| app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))) = sk3 ),
inference(component_clause,[status(thm)],[f3781]) ).
fof(f3784,plain,
( sQ355_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f3780,f497,f3781]) ).
fof(f7159,definition,
( sQ547_spl
<=> ssList(skaf68(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ547_spl])],[split_symbol_definition]) ).
fof(f7161,plain,
( sQ547_spl
| ~ ssList(skaf68(sk3)) ),
inference(component_clause,[status(thm)],[f7159]) ).
fof(f7162,definition,
( sQ548_spl
<=> ssList(skaf67(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ548_spl])],[split_symbol_definition]) ).
fof(f7164,plain,
( sQ548_spl
| ~ ssList(skaf67(sk3)) ),
inference(component_clause,[status(thm)],[f7162]) ).
fof(f7165,definition,
( sQ549_spl
<=> ssList(skaf66(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ549_spl])],[split_symbol_definition]) ).
fof(f7167,plain,
( sQ549_spl
| ~ ssList(skaf66(sk3)) ),
inference(component_clause,[status(thm)],[f7165]) ).
fof(f7168,definition,
( sQ550_spl
<=> ssList(app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3)))) ),
introduced(definition,[new_symbols(definition,[sQ550_spl])],[split_symbol_definition]) ).
fof(f7170,plain,
( sQ550_spl
| ~ ssList(app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3)))) ),
inference(component_clause,[status(thm)],[f7168]) ).
fof(f7171,definition,
( sQ551_spl
<=> leq(skaf64(sk3),skaf65(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ551_spl])],[split_symbol_definition]) ).
fof(f7172,plain,
( ~ sQ551_spl
| leq(skaf64(sk3),skaf65(sk3)) ),
inference(component_clause,[status(thm)],[f7171]) ).
fof(f7190,plain,
( sQ547_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7161,f222]) ).
fof(f7191,plain,
sQ547_spl,
inference(contradiction_clause,[status(thm)],[f7190]) ).
fof(f7193,plain,
( sQ550_spl
| ~ sQ355_spl
| ~ ssList(sk3) ),
inference(forward_demodulation,[status(thm)],[f3782,f7170]) ).
fof(f7194,plain,
( sQ550_spl
| ~ sQ355_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7193,f428]) ).
fof(f7195,plain,
( sQ550_spl
| ~ sQ355_spl ),
inference(contradiction_clause,[status(thm)],[f7194]) ).
fof(f7196,plain,
( sQ549_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7167,f224]) ).
fof(f7197,plain,
sQ549_spl,
inference(contradiction_clause,[status(thm)],[f7196]) ).
fof(f7198,plain,
( sQ548_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f7164,f223]) ).
fof(f7199,plain,
sQ548_spl,
inference(contradiction_clause,[status(thm)],[f7198]) ).
fof(f7407,definition,
( sQ563_spl
<=> ssItem(skaf65(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ563_spl])],[split_symbol_definition]) ).
fof(f7409,plain,
( sQ563_spl
| ~ ssItem(skaf65(sk3)) ),
inference(component_clause,[status(thm)],[f7407]) ).
fof(f7410,definition,
( sQ564_spl
<=> ssItem(skaf64(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ564_spl])],[split_symbol_definition]) ).
fof(f7412,plain,
( sQ564_spl
| ~ ssItem(skaf64(sk3)) ),
inference(component_clause,[status(thm)],[f7410]) ).
fof(f7514,plain,
( sQ564_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f7412,f226]) ).
fof(f7515,plain,
sQ564_spl,
inference(contradiction_clause,[status(thm)],[f7514]) ).
fof(f7516,plain,
( sQ563_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f7409,f225]) ).
fof(f7517,plain,
sQ563_spl,
inference(contradiction_clause,[status(thm)],[f7516]) ).
fof(f9721,plain,
( ~ sQ551_spl
| totalorderedP(sk3)
| ~ ssList(sk3) ),
inference(resolution,[status(thm)],[f7172,f287]) ).
fof(f9722,plain,
( ~ sQ551_spl
| sQ256_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f9721,f497,f2634,f7171]) ).
fof(f10315,plain,
( ~ sQ355_spl
| lt(skaf64(sk3),skaf65(sk3))
| ~ ssList(app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))))
| ~ strictorderedP(sk3)
| ~ ssItem(skaf64(sk3))
| ~ ssItem(skaf65(sk3))
| ~ ssList(skaf66(sk3))
| ~ ssList(skaf67(sk3))
| ~ ssList(skaf68(sk3)) ),
inference(paramodulation,[status(thm)],[f3782,f467]) ).
fof(f10318,definition,
( sQ755_spl
<=> lt(skaf64(sk3),skaf65(sk3)) ),
introduced(definition,[new_symbols(definition,[sQ755_spl])],[split_symbol_definition]) ).
fof(f10319,plain,
( ~ sQ755_spl
| lt(skaf64(sk3),skaf65(sk3)) ),
inference(component_clause,[status(thm)],[f10318]) ).
fof(f10321,plain,
( ~ sQ355_spl
| sQ755_spl
| ~ sQ550_spl
| ~ sQ8_spl
| ~ sQ564_spl
| ~ sQ563_spl
| ~ sQ549_spl
| ~ sQ548_spl
| ~ sQ547_spl ),
inference(split_clause,[status(thm)],[f10315,f7159,f7162,f7165,f7407,f7410,f509,f7168,f10318,f3781]) ).
fof(f10939,plain,
( ~ sQ256_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2635,f474]) ).
fof(f10940,plain,
~ sQ256_spl,
inference(contradiction_clause,[status(thm)],[f10939]) ).
fof(f11248,plain,
( ~ sQ755_spl
| leq(skaf64(sk3),skaf65(sk3))
| ~ ssItem(skaf64(sk3))
| ~ ssItem(skaf65(sk3)) ),
inference(resolution,[status(thm)],[f10319,f301]) ).
fof(f11259,plain,
( ~ sQ755_spl
| sQ551_spl
| ~ sQ564_spl
| ~ sQ563_spl ),
inference(split_clause,[status(thm)],[f11248,f7407,f7410,f7171,f10318]) ).
fof(f11265,plain,
$false,
inference(sat_refutation,[status(thm)],[f514,f516,f3784,f7191,f7195,f7197,f7199,f7515,f7517,f9722,f10321,f10940,f11259]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC271-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.52 % Computer : n010.cluster.edu
% 0.09/5.52 % Model : x86_64 x86_64
% 0.09/5.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.52 % Memory : 8046.5625MB
% 0.09/5.52 % OS : Linux 6.8.0-71-generic
% 0.09/5.52 % CPULimit : 300
% 0.09/5.52 % WCLimit : 300
% 0.09/5.52 % DateTime : Mon Sep 21 08:11:20 UTC 2026
% 0.09/5.52 % CPUTime :
% 0.09/5.53 % Drodi V4.1.1
% 13.24/7.29 % Refutation found
% 13.24/7.29 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 13.24/7.29 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 13.24/7.32 % Elapsed time: 1.783566 seconds
% 13.24/7.32 % CPU time: 13.925734 seconds
% 13.24/7.32 % Total memory used: 241.015 MB
% 13.24/7.32 % Net memory used: 228.804 MB
%------------------------------------------------------------------------------