%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC273+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 : n013.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 02:40:36 PM UTC 2026
% Result : Theorem 5.25s 16.41s
% Output : CNFRefutation 6.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of formulae : 80 ( 9 unt; 12 def)
% Number of atoms : 359 ( 32 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 448 ( 169 ~; 172 |; 67 &)
% ( 18 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 13 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 4 con; 0-2 aty)
% Number of variables : 105 ( 85 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [U] :
( ssList(U)
=> ( totalorderedP(U)
<=> ! [V] :
( ssItem(V)
=> ! [W] :
( ssItem(W)
=> ! [X] :
( ssList(X)
=> ! [Y] :
( ssList(Y)
=> ! [Z] :
( ssList(Z)
=> ( app(app(X,cons(V,Y)),cons(W,Z)) = U
=> leq(V,W) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [U] :
( ssList(U)
=> ( strictorderedP(U)
<=> ! [V] :
( ssItem(V)
=> ! [W] :
( ssItem(W)
=> ! [X] :
( ssList(X)
=> ! [Y] :
( ssList(Y)
=> ! [Z] :
( ssList(Z)
=> ( app(app(X,cons(V,Y)),cons(W,Z)) = U
=> lt(V,W) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f93,axiom,
! [U] :
( ssItem(U)
=> ! [V] :
( ssItem(V)
=> ( lt(U,V)
<=> ( leq(U,V)
& U != V ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( totalorderedP(U)
| ? [Y] :
( strictorderedP(Y)
& segmentP(Y,W)
& segmentP(X,Y)
& neq(W,Y)
& ssList(Y) )
| ~ strictorderedP(W)
| ~ segmentP(X,W)
| U != W
| V != X
| ~ ssList(X) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( totalorderedP(U)
| ? [Y] :
( strictorderedP(Y)
& segmentP(Y,W)
& segmentP(X,Y)
& neq(W,Y)
& ssList(Y) )
| ~ strictorderedP(W)
| ~ segmentP(X,W)
| U != W
| V != X
| ~ ssList(X) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f174,plain,
! [U] :
( ( totalorderedP(U)
<=> ! [V] :
( ! [W] :
( ! [X] :
( ! [Y] :
( ! [Z] :
( leq(V,W)
| app(app(X,cons(V,Y)),cons(W,Z)) != U
| ~ ssList(Z) )
| ~ ssList(Y) )
| ~ ssList(X) )
| ~ ssItem(W) )
| ~ ssItem(V) ) )
| ~ ssList(U) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f175,plain,
! [U] :
( ( ( ? [V] :
( ? [W] :
( ? [X] :
( ? [Y] :
( ? [Z] :
( ~ leq(V,W)
& app(app(X,cons(V,Y)),cons(W,Z)) = U
& ssList(Z) )
& ssList(Y) )
& ssList(X) )
& ssItem(W) )
& ssItem(V) )
| totalorderedP(U) )
& ( ! [V] :
( ! [W] :
( ! [X] :
( ! [Y] :
( ! [Z] :
( leq(V,W)
| app(app(X,cons(V,Y)),cons(W,Z)) != U
| ~ ssList(Z) )
| ~ ssList(Y) )
| ~ ssList(X) )
| ~ ssItem(W) )
| ~ ssItem(V) )
| ~ totalorderedP(U) ) )
| ~ ssList(U) ),
inference(NNF_transformation,[status(thm)],[f174]) ).
fof(f176,plain,
! [U] :
( ( ( ( ~ leq(sK24_skl(U),sK25_skl(U))
& app(app(sK26_skl(U),cons(sK24_skl(U),sK27_skl(U))),cons(sK25_skl(U),sK28_skl(U))) = U
& ssList(sK28_skl(U))
& ssList(sK27_skl(U))
& ssList(sK26_skl(U))
& ssItem(sK25_skl(U))
& ssItem(sK24_skl(U)) )
| totalorderedP(U) )
& ( ! [V] :
( ! [W] :
( ! [X] :
( ! [Y] :
( ! [Z] :
( leq(V,W)
| app(app(X,cons(V,Y)),cons(W,Z)) != U
| ~ ssList(Z) )
| ~ ssList(Y) )
| ~ ssList(X) )
| ~ ssItem(W) )
| ~ ssItem(V) )
| ~ totalorderedP(U) ) )
| ~ ssList(U) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24_skl,sK25_skl,sK26_skl,sK27_skl,sK28_skl]),skolemize(V,sK24_skl(U)),skolemize(W,sK25_skl(U)),skolemize(X,sK26_skl(U)),skolemize(Y,sK27_skl(U)),skolemize(Z,sK28_skl(U))],[f175]) ).
fof(f178,plain,
! [X0] :
( ssItem(sK24_skl(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f179,plain,
! [X0] :
( ssItem(sK25_skl(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f180,plain,
! [X0] :
( ssList(sK26_skl(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f181,plain,
! [X0] :
( ssList(sK27_skl(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f182,plain,
! [X0] :
( ssList(sK28_skl(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f183,plain,
! [X0] :
( app(app(sK26_skl(X0),cons(sK24_skl(X0),sK27_skl(X0))),cons(sK25_skl(X0),sK28_skl(X0))) = X0
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f184,plain,
! [X0] :
( ~ leq(sK24_skl(X0),sK25_skl(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f176]) ).
fof(f185,plain,
! [U] :
( ( strictorderedP(U)
<=> ! [V] :
( ! [W] :
( ! [X] :
( ! [Y] :
( ! [Z] :
( lt(V,W)
| app(app(X,cons(V,Y)),cons(W,Z)) != U
| ~ ssList(Z) )
| ~ ssList(Y) )
| ~ ssList(X) )
| ~ ssItem(W) )
| ~ ssItem(V) ) )
| ~ ssList(U) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f186,plain,
! [U] :
( ( ( ? [V] :
( ? [W] :
( ? [X] :
( ? [Y] :
( ? [Z] :
( ~ lt(V,W)
& app(app(X,cons(V,Y)),cons(W,Z)) = U
& ssList(Z) )
& ssList(Y) )
& ssList(X) )
& ssItem(W) )
& ssItem(V) )
| strictorderedP(U) )
& ( ! [V] :
( ! [W] :
( ! [X] :
( ! [Y] :
( ! [Z] :
( lt(V,W)
| app(app(X,cons(V,Y)),cons(W,Z)) != U
| ~ ssList(Z) )
| ~ ssList(Y) )
| ~ ssList(X) )
| ~ ssItem(W) )
| ~ ssItem(V) )
| ~ strictorderedP(U) ) )
| ~ ssList(U) ),
inference(NNF_transformation,[status(thm)],[f185]) ).
fof(f187,plain,
! [U] :
( ( ( ( ~ lt(sK29_skl(U),sK30_skl(U))
& app(app(sK31_skl(U),cons(sK29_skl(U),sK32_skl(U))),cons(sK30_skl(U),sK33_skl(U))) = U
& ssList(sK33_skl(U))
& ssList(sK32_skl(U))
& ssList(sK31_skl(U))
& ssItem(sK30_skl(U))
& ssItem(sK29_skl(U)) )
| strictorderedP(U) )
& ( ! [V] :
( ! [W] :
( ! [X] :
( ! [Y] :
( ! [Z] :
( lt(V,W)
| app(app(X,cons(V,Y)),cons(W,Z)) != U
| ~ ssList(Z) )
| ~ ssList(Y) )
| ~ ssList(X) )
| ~ ssItem(W) )
| ~ ssItem(V) )
| ~ strictorderedP(U) ) )
| ~ ssList(U) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29_skl,sK30_skl,sK31_skl,sK32_skl,sK33_skl]),skolemize(V,sK29_skl(U)),skolemize(W,sK30_skl(U)),skolemize(X,sK31_skl(U)),skolemize(Y,sK32_skl(U)),skolemize(Z,sK33_skl(U))],[f186]) ).
fof(f188,plain,
! [X0,X1,X2,X3,X4,X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ strictorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f187]) ).
fof(f406,plain,
! [U] :
( ! [V] :
( ( lt(U,V)
<=> ( leq(U,V)
& U != V ) )
| ~ ssItem(V) )
| ~ ssItem(U) ),
inference(pre_NNF_transformation,[status(thm)],[f93]) ).
fof(f407,plain,
! [U] :
( ! [V] :
( ( ( ~ leq(U,V)
| U = V
| lt(U,V) )
& ( ( leq(U,V)
& U != V )
| ~ lt(U,V) ) )
| ~ ssItem(V) )
| ~ ssItem(U) ),
inference(NNF_transformation,[status(thm)],[f406]) ).
fof(f409,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f407]) ).
fof(f415,plain,
? [U] :
( ? [V] :
( ? [W] :
( ? [X] :
( ~ totalorderedP(U)
& ! [Y] :
( ~ strictorderedP(Y)
| ~ segmentP(Y,W)
| ~ segmentP(X,Y)
| ~ neq(W,Y)
| ~ ssList(Y) )
& strictorderedP(W)
& segmentP(X,W)
& U = W
& V = X
& ssList(X) )
& ssList(W) )
& ssList(V) )
& ssList(U) ),
inference(pre_NNF_transformation,[status(thm)],[f97]) ).
fof(f416,plain,
? [U] :
( ? [V] :
( ? [W] :
( ~ totalorderedP(U)
& ? [X] :
( ! [Y] :
( ~ strictorderedP(Y)
| ~ segmentP(Y,W)
| ~ segmentP(X,Y)
| ~ neq(W,Y)
| ~ ssList(Y) )
& strictorderedP(W)
& segmentP(X,W)
& U = W
& V = X
& ssList(X) )
& ssList(W) )
& ssList(V) )
& ssList(U) ),
inference(miniscoping,[status(thm)],[f415]) ).
fof(f417,plain,
( ~ totalorderedP(sK47_skl)
& ! [Y] :
( ~ strictorderedP(Y)
| ~ segmentP(Y,sK49_skl)
| ~ segmentP(sK50_skl,Y)
| ~ neq(sK49_skl,Y)
| ~ ssList(Y) )
& strictorderedP(sK49_skl)
& segmentP(sK50_skl,sK49_skl)
& sK47_skl = sK49_skl
& sK48_skl = sK50_skl
& ssList(sK50_skl)
& ssList(sK49_skl)
& ssList(sK48_skl)
& ssList(sK47_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl)],[f416]) ).
fof(f420,plain,
ssList(sK49_skl),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f423,plain,
sK47_skl = sK49_skl,
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f425,plain,
strictorderedP(sK49_skl),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f427,plain,
~ totalorderedP(sK47_skl),
inference(cnf_transformation,[status(thm)],[f417]) ).
fof(f439,plain,
! [X0,X1,X2,X3,X4] :
( lt(X1,X3)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4))) ),
inference(destructive_equality_resolution,[status(thm)],[f188]) ).
fof(f464,plain,
~ totalorderedP(sK49_skl),
inference(forward_demodulation,[status(thm)],[f423,f427]) ).
fof(f468,definition,
( sQ0_spl
<=> ssList(sK49_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f470,plain,
( sQ0_spl
| ~ ssList(sK49_skl) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f482,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f470,f420]) ).
fof(f483,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f482]) ).
fof(f666,definition,
( sQ29_spl
<=> strictorderedP(sK49_skl) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f668,plain,
( sQ29_spl
| ~ strictorderedP(sK49_skl) ),
inference(component_clause,[status(thm)],[f666]) ).
fof(f1401,plain,
( ssList(sK26_skl(sK49_skl))
| ~ ssList(sK49_skl) ),
inference(resolution,[status(thm)],[f180,f464]) ).
fof(f1403,definition,
( sQ133_spl
<=> ssList(sK26_skl(sK49_skl)) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1406,plain,
( sQ133_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1401,f468,f1403]) ).
fof(f1409,plain,
( ssList(sK27_skl(sK49_skl))
| ~ ssList(sK49_skl) ),
inference(resolution,[status(thm)],[f181,f464]) ).
fof(f1411,definition,
( sQ134_spl
<=> ssList(sK27_skl(sK49_skl)) ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1414,plain,
( sQ134_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1409,f468,f1411]) ).
fof(f1417,plain,
( ssList(sK28_skl(sK49_skl))
| ~ ssList(sK49_skl) ),
inference(resolution,[status(thm)],[f182,f464]) ).
fof(f1419,definition,
( sQ135_spl
<=> ssList(sK28_skl(sK49_skl)) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1422,plain,
( sQ135_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1417,f468,f1419]) ).
fof(f1444,plain,
( app(app(sK26_skl(sK49_skl),cons(sK24_skl(sK49_skl),sK27_skl(sK49_skl))),cons(sK25_skl(sK49_skl),sK28_skl(sK49_skl))) = sK49_skl
| ~ ssList(sK49_skl) ),
inference(resolution,[status(thm)],[f183,f464]) ).
fof(f1446,definition,
( sQ137_spl
<=> app(app(sK26_skl(sK49_skl),cons(sK24_skl(sK49_skl),sK27_skl(sK49_skl))),cons(sK25_skl(sK49_skl),sK28_skl(sK49_skl))) = sK49_skl ),
introduced(definition,[new_symbols(definition,[sQ137_spl])],[split_symbol_definition]) ).
fof(f1447,plain,
( ~ sQ137_spl
| app(app(sK26_skl(sK49_skl),cons(sK24_skl(sK49_skl),sK27_skl(sK49_skl))),cons(sK25_skl(sK49_skl),sK28_skl(sK49_skl))) = sK49_skl ),
inference(component_clause,[status(thm)],[f1446]) ).
fof(f1449,plain,
( sQ137_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1444,f468,f1446]) ).
fof(f1486,plain,
( ~ sQ137_spl
| lt(sK24_skl(sK49_skl),sK25_skl(sK49_skl))
| ~ ssList(sK28_skl(sK49_skl))
| ~ ssList(sK27_skl(sK49_skl))
| ~ ssList(sK26_skl(sK49_skl))
| ~ ssItem(sK25_skl(sK49_skl))
| ~ ssItem(sK24_skl(sK49_skl))
| ~ strictorderedP(sK49_skl)
| ~ ssList(app(app(sK26_skl(sK49_skl),cons(sK24_skl(sK49_skl),sK27_skl(sK49_skl))),cons(sK25_skl(sK49_skl),sK28_skl(sK49_skl)))) ),
inference(paramodulation,[status(thm)],[f1447,f439]) ).
fof(f1502,definition,
( sQ145_spl
<=> ssList(app(app(sK26_skl(sK49_skl),cons(sK24_skl(sK49_skl),sK27_skl(sK49_skl))),cons(sK25_skl(sK49_skl),sK28_skl(sK49_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1504,plain,
( sQ145_spl
| ~ ssList(app(app(sK26_skl(sK49_skl),cons(sK24_skl(sK49_skl),sK27_skl(sK49_skl))),cons(sK25_skl(sK49_skl),sK28_skl(sK49_skl)))) ),
inference(component_clause,[status(thm)],[f1502]) ).
fof(f1508,definition,
( sQ147_spl
<=> ssItem(sK24_skl(sK49_skl)) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1510,plain,
( sQ147_spl
| ~ ssItem(sK24_skl(sK49_skl)) ),
inference(component_clause,[status(thm)],[f1508]) ).
fof(f1511,definition,
( sQ148_spl
<=> ssItem(sK25_skl(sK49_skl)) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1513,plain,
( sQ148_spl
| ~ ssItem(sK25_skl(sK49_skl)) ),
inference(component_clause,[status(thm)],[f1511]) ).
fof(f1514,definition,
( sQ149_spl
<=> lt(sK24_skl(sK49_skl),sK25_skl(sK49_skl)) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1515,plain,
( ~ sQ149_spl
| lt(sK24_skl(sK49_skl),sK25_skl(sK49_skl)) ),
inference(component_clause,[status(thm)],[f1514]) ).
fof(f1521,definition,
( sQ151_spl
<=> totalorderedP(sK49_skl) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f1522,plain,
( ~ sQ151_spl
| totalorderedP(sK49_skl) ),
inference(component_clause,[status(thm)],[f1521]) ).
fof(f1524,definition,
( sQ152_spl
<=> leq(sK24_skl(sK49_skl),sK25_skl(sK49_skl)) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f1525,plain,
( ~ sQ152_spl
| leq(sK24_skl(sK49_skl),sK25_skl(sK49_skl)) ),
inference(component_clause,[status(thm)],[f1524]) ).
fof(f1528,plain,
( ~ sQ137_spl
| sQ149_spl
| ~ sQ135_spl
| ~ sQ134_spl
| ~ sQ133_spl
| ~ sQ148_spl
| ~ sQ147_spl
| ~ sQ29_spl
| ~ sQ145_spl ),
inference(split_clause,[status(thm)],[f1486,f1502,f666,f1508,f1511,f1403,f1411,f1419,f1514,f1446]) ).
fof(f1601,plain,
( sQ148_spl
| totalorderedP(sK49_skl)
| ~ ssList(sK49_skl) ),
inference(resolution,[status(thm)],[f1513,f179]) ).
fof(f1602,plain,
( sQ148_spl
| sQ151_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1601,f468,f1521,f1511]) ).
fof(f1603,plain,
( sQ147_spl
| totalorderedP(sK49_skl)
| ~ ssList(sK49_skl) ),
inference(resolution,[status(thm)],[f1510,f178]) ).
fof(f1604,plain,
( sQ147_spl
| sQ151_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1603,f468,f1521,f1508]) ).
fof(f1605,plain,
( sQ145_spl
| ~ sQ137_spl
| ~ ssList(sK49_skl) ),
inference(forward_demodulation,[status(thm)],[f1447,f1504]) ).
fof(f1606,plain,
( sQ145_spl
| ~ sQ137_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1605,f420]) ).
fof(f1607,plain,
( sQ145_spl
| ~ sQ137_spl ),
inference(contradiction_clause,[status(thm)],[f1606]) ).
fof(f1608,plain,
( sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f668,f425]) ).
fof(f1609,plain,
sQ29_spl,
inference(contradiction_clause,[status(thm)],[f1608]) ).
fof(f1611,plain,
( ~ sQ151_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1522,f464]) ).
fof(f1612,plain,
~ sQ151_spl,
inference(contradiction_clause,[status(thm)],[f1611]) ).
fof(f1705,plain,
( ~ sQ152_spl
| totalorderedP(sK49_skl)
| ~ ssList(sK49_skl) ),
inference(resolution,[status(thm)],[f1525,f184]) ).
fof(f1706,plain,
( ~ sQ152_spl
| sQ151_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1705,f468,f1521,f1524]) ).
fof(f6802,plain,
( ~ sQ149_spl
| leq(sK24_skl(sK49_skl),sK25_skl(sK49_skl))
| ~ ssItem(sK25_skl(sK49_skl))
| ~ ssItem(sK24_skl(sK49_skl)) ),
inference(resolution,[status(thm)],[f409,f1515]) ).
fof(f6805,plain,
( ~ sQ149_spl
| sQ152_spl
| ~ sQ148_spl
| ~ sQ147_spl ),
inference(split_clause,[status(thm)],[f6802,f1508,f1511,f1524,f1514]) ).
fof(f6809,plain,
$false,
inference(sat_refutation,[status(thm)],[f483,f1406,f1414,f1422,f1449,f1528,f1602,f1604,f1607,f1609,f1612,f1706,f6805]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC273+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/15.59 % Computer : n013.cluster.edu
% 0.10/15.59 % Model : x86_64 x86_64
% 0.10/15.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.59 % Memory : 8046.5625MB
% 0.10/15.59 % OS : Linux 6.8.0-71-generic
% 0.10/15.59 % CPULimit : 300
% 0.10/15.59 % WCLimit : 300
% 0.10/15.59 % DateTime : Mon Sep 21 08:10:09 UTC 2026
% 0.10/15.59 % CPUTime :
% 0.15/15.61 % Drodi V4.1.1
% 5.25/16.41 % Refutation found
% 5.25/16.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.25/16.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.03/16.44 % Elapsed time: 0.832194 seconds
% 6.03/16.44 % CPU time: 6.279459 seconds
% 6.03/16.44 % Total memory used: 184.876 MB
% 6.03/16.44 % Net memory used: 177.769 MB
%------------------------------------------------------------------------------