%------------------------------------------------------------------------------
% 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/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 : Theorem 107.22s 19.08s
% Output : CNFRefutation 107.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 19
% Syntax : Number of formulae : 94 ( 13 unt; 14 def)
% Number of atoms : 379 ( 32 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 452 ( 167 ~; 179 |; 62 &)
% ( 20 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 15 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-2 aty)
% Number of variables : 102 ( 84 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
? [U] :
( ? [V] :
( U != V
& ssItem(V) )
& ssItem(U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f93,axiom,
! [U] :
( ssItem(U)
=> ! [V] :
( ssItem(V)
=> ( lt(U,V)
<=> ( leq(U,V)
& U != V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( totalorderedP(U)
| ? [Y] :
( strictorderedP(Y)
& segmentP(Y,W)
& frontsegP(X,Y)
& neq(W,Y)
& ssList(Y) )
| ~ strictorderedP(W)
| ~ frontsegP(X,W)
| U != W
| V != X ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( totalorderedP(U)
| ? [Y] :
( strictorderedP(Y)
& segmentP(Y,W)
& frontsegP(X,Y)
& neq(W,Y)
& ssList(Y) )
| ~ strictorderedP(W)
| ~ frontsegP(X,W)
| U != W
| V != X ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f102,plain,
( sK0_skl != sK1_skl
& ssItem(sK1_skl)
& ssItem(sK0_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(U,sK0_skl),skolemize(V,sK1_skl)],[f2]) ).
fof(f103,plain,
ssItem(sK0_skl),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f104,plain,
ssItem(sK1_skl),
inference(cnf_transformation,[status(thm)],[f102]) ).
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)
| ~ frontsegP(X,Y)
| ~ neq(W,Y)
| ~ ssList(Y) )
& strictorderedP(W)
& frontsegP(X,W)
& U = W
& V = X
& ssList(X) )
& ssList(W) )
& ssList(V) )
& ssList(U) ),
inference(pre_NNF_transformation,[status(thm)],[f97]) ).
fof(f416,plain,
( ~ totalorderedP(sK47_skl)
& ! [Y] :
( ~ strictorderedP(Y)
| ~ segmentP(Y,sK49_skl)
| ~ frontsegP(sK50_skl,Y)
| ~ neq(sK49_skl,Y)
| ~ ssList(Y) )
& strictorderedP(sK49_skl)
& frontsegP(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)],[f415]) ).
fof(f417,plain,
ssList(sK47_skl),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f422,plain,
sK47_skl = sK49_skl,
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f424,plain,
strictorderedP(sK49_skl),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f426,plain,
~ totalorderedP(sK47_skl),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f438,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(f463,plain,
strictorderedP(sK47_skl),
inference(forward_demodulation,[status(thm)],[f422,f424]) ).
fof(f472,definition,
( sQ0_spl
<=> ssList(sK47_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( sQ0_spl
| ~ ssList(sK47_skl) ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f481,definition,
( sQ3_spl
<=> strictorderedP(sK47_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( sQ3_spl
| ~ strictorderedP(sK47_skl) ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f485,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f483,f463]) ).
fof(f486,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f485]) ).
fof(f489,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f474,f417]) ).
fof(f490,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f489]) ).
fof(f692,definition,
( sQ32_spl
<=> ssItem(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f694,plain,
( sQ32_spl
| ~ ssItem(sK0_skl) ),
inference(component_clause,[status(thm)],[f692]) ).
fof(f699,definition,
( sQ33_spl
<=> ssItem(sK1_skl) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f701,plain,
( sQ33_spl
| ~ ssItem(sK1_skl) ),
inference(component_clause,[status(thm)],[f699]) ).
fof(f1788,plain,
( app(app(sK26_skl(sK47_skl),cons(sK24_skl(sK47_skl),sK27_skl(sK47_skl))),cons(sK25_skl(sK47_skl),sK28_skl(sK47_skl))) = sK47_skl
| ~ ssList(sK47_skl) ),
inference(resolution,[status(thm)],[f183,f426]) ).
fof(f1791,definition,
( sQ134_spl
<=> app(app(sK26_skl(sK47_skl),cons(sK24_skl(sK47_skl),sK27_skl(sK47_skl))),cons(sK25_skl(sK47_skl),sK28_skl(sK47_skl))) = sK47_skl ),
introduced(definition,[new_symbols(definition,[sQ134_spl])],[split_symbol_definition]) ).
fof(f1792,plain,
( ~ sQ134_spl
| app(app(sK26_skl(sK47_skl),cons(sK24_skl(sK47_skl),sK27_skl(sK47_skl))),cons(sK25_skl(sK47_skl),sK28_skl(sK47_skl))) = sK47_skl ),
inference(component_clause,[status(thm)],[f1791]) ).
fof(f1794,plain,
( sQ134_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1788,f472,f1791]) ).
fof(f2098,plain,
( ~ sQ134_spl
| lt(sK24_skl(sK47_skl),sK25_skl(sK47_skl))
| ~ ssList(sK28_skl(sK47_skl))
| ~ ssList(sK27_skl(sK47_skl))
| ~ ssList(sK26_skl(sK47_skl))
| ~ ssItem(sK25_skl(sK47_skl))
| ~ ssItem(sK24_skl(sK47_skl))
| ~ strictorderedP(sK47_skl)
| ~ ssList(app(app(sK26_skl(sK47_skl),cons(sK24_skl(sK47_skl),sK27_skl(sK47_skl))),cons(sK25_skl(sK47_skl),sK28_skl(sK47_skl)))) ),
inference(paramodulation,[status(thm)],[f1792,f438]) ).
fof(f2109,definition,
( sQ146_spl
<=> ssList(app(app(sK26_skl(sK47_skl),cons(sK24_skl(sK47_skl),sK27_skl(sK47_skl))),cons(sK25_skl(sK47_skl),sK28_skl(sK47_skl)))) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f2111,plain,
( sQ146_spl
| ~ ssList(app(app(sK26_skl(sK47_skl),cons(sK24_skl(sK47_skl),sK27_skl(sK47_skl))),cons(sK25_skl(sK47_skl),sK28_skl(sK47_skl)))) ),
inference(component_clause,[status(thm)],[f2109]) ).
fof(f2115,definition,
( sQ148_spl
<=> ssItem(sK24_skl(sK47_skl)) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f2117,plain,
( sQ148_spl
| ~ ssItem(sK24_skl(sK47_skl)) ),
inference(component_clause,[status(thm)],[f2115]) ).
fof(f2118,definition,
( sQ149_spl
<=> ssItem(sK25_skl(sK47_skl)) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f2120,plain,
( sQ149_spl
| ~ ssItem(sK25_skl(sK47_skl)) ),
inference(component_clause,[status(thm)],[f2118]) ).
fof(f2121,definition,
( sQ150_spl
<=> ssList(sK26_skl(sK47_skl)) ),
introduced(definition,[new_symbols(definition,[sQ150_spl])],[split_symbol_definition]) ).
fof(f2123,plain,
( sQ150_spl
| ~ ssList(sK26_skl(sK47_skl)) ),
inference(component_clause,[status(thm)],[f2121]) ).
fof(f2124,definition,
( sQ151_spl
<=> ssList(sK27_skl(sK47_skl)) ),
introduced(definition,[new_symbols(definition,[sQ151_spl])],[split_symbol_definition]) ).
fof(f2126,plain,
( sQ151_spl
| ~ ssList(sK27_skl(sK47_skl)) ),
inference(component_clause,[status(thm)],[f2124]) ).
fof(f2127,definition,
( sQ152_spl
<=> ssList(sK28_skl(sK47_skl)) ),
introduced(definition,[new_symbols(definition,[sQ152_spl])],[split_symbol_definition]) ).
fof(f2129,plain,
( sQ152_spl
| ~ ssList(sK28_skl(sK47_skl)) ),
inference(component_clause,[status(thm)],[f2127]) ).
fof(f2130,definition,
( sQ153_spl
<=> lt(sK24_skl(sK47_skl),sK25_skl(sK47_skl)) ),
introduced(definition,[new_symbols(definition,[sQ153_spl])],[split_symbol_definition]) ).
fof(f2131,plain,
( ~ sQ153_spl
| lt(sK24_skl(sK47_skl),sK25_skl(sK47_skl)) ),
inference(component_clause,[status(thm)],[f2130]) ).
fof(f2140,definition,
( sQ156_spl
<=> leq(sK24_skl(sK47_skl),sK25_skl(sK47_skl)) ),
introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition]) ).
fof(f2141,plain,
( ~ sQ156_spl
| leq(sK24_skl(sK47_skl),sK25_skl(sK47_skl)) ),
inference(component_clause,[status(thm)],[f2140]) ).
fof(f2151,plain,
( ~ sQ134_spl
| sQ153_spl
| ~ sQ152_spl
| ~ sQ151_spl
| ~ sQ150_spl
| ~ sQ149_spl
| ~ sQ148_spl
| ~ sQ3_spl
| ~ sQ146_spl ),
inference(split_clause,[status(thm)],[f2098,f2109,f481,f2115,f2118,f2121,f2124,f2127,f2130,f1791]) ).
fof(f2152,definition,
( sQ159_spl
<=> totalorderedP(sK47_skl) ),
introduced(definition,[new_symbols(definition,[sQ159_spl])],[split_symbol_definition]) ).
fof(f2153,plain,
( ~ sQ159_spl
| totalorderedP(sK47_skl) ),
inference(component_clause,[status(thm)],[f2152]) ).
fof(f2198,plain,
( sQ152_spl
| totalorderedP(sK47_skl)
| ~ ssList(sK47_skl) ),
inference(resolution,[status(thm)],[f2129,f182]) ).
fof(f2199,plain,
( sQ152_spl
| sQ159_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2198,f472,f2152,f2127]) ).
fof(f2200,plain,
( sQ149_spl
| totalorderedP(sK47_skl)
| ~ ssList(sK47_skl) ),
inference(resolution,[status(thm)],[f2120,f179]) ).
fof(f2201,plain,
( sQ149_spl
| sQ159_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2200,f472,f2152,f2118]) ).
fof(f2205,plain,
( sQ151_spl
| totalorderedP(sK47_skl)
| ~ ssList(sK47_skl) ),
inference(resolution,[status(thm)],[f2126,f181]) ).
fof(f2206,plain,
( sQ151_spl
| sQ159_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2205,f472,f2152,f2124]) ).
fof(f2242,plain,
( sQ150_spl
| totalorderedP(sK47_skl)
| ~ ssList(sK47_skl) ),
inference(resolution,[status(thm)],[f2123,f180]) ).
fof(f2243,plain,
( sQ150_spl
| sQ159_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2242,f472,f2152,f2121]) ).
fof(f2247,plain,
( sQ148_spl
| totalorderedP(sK47_skl)
| ~ ssList(sK47_skl) ),
inference(resolution,[status(thm)],[f2117,f178]) ).
fof(f2248,plain,
( sQ148_spl
| sQ159_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f2247,f472,f2152,f2115]) ).
fof(f2249,plain,
( sQ146_spl
| ~ sQ134_spl
| ~ ssList(sK47_skl) ),
inference(forward_demodulation,[status(thm)],[f1792,f2111]) ).
fof(f2250,plain,
( sQ146_spl
| ~ sQ134_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2249,f417]) ).
fof(f2251,plain,
( sQ146_spl
| ~ sQ134_spl ),
inference(contradiction_clause,[status(thm)],[f2250]) ).
fof(f2252,plain,
( ~ sQ159_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2153,f426]) ).
fof(f2253,plain,
~ sQ159_spl,
inference(contradiction_clause,[status(thm)],[f2252]) ).
fof(f2302,plain,
( sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f701,f104]) ).
fof(f2303,plain,
sQ33_spl,
inference(contradiction_clause,[status(thm)],[f2302]) ).
fof(f2304,plain,
( sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f694,f103]) ).
fof(f2305,plain,
sQ32_spl,
inference(contradiction_clause,[status(thm)],[f2304]) ).
fof(f3177,plain,
( ~ sQ156_spl
| totalorderedP(sK47_skl)
| ~ ssList(sK47_skl) ),
inference(resolution,[status(thm)],[f2141,f184]) ).
fof(f3178,plain,
( ~ sQ156_spl
| sQ159_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f3177,f472,f2152,f2140]) ).
fof(f7026,plain,
( ~ sQ153_spl
| leq(sK24_skl(sK47_skl),sK25_skl(sK47_skl))
| ~ ssItem(sK25_skl(sK47_skl))
| ~ ssItem(sK24_skl(sK47_skl)) ),
inference(resolution,[status(thm)],[f409,f2131]) ).
fof(f7027,plain,
( ~ sQ153_spl
| sQ156_spl
| ~ sQ149_spl
| ~ sQ148_spl ),
inference(split_clause,[status(thm)],[f7026,f2115,f2118,f2140,f2130]) ).
fof(f7028,plain,
$false,
inference(sat_refutation,[status(thm)],[f486,f490,f1794,f2151,f2199,f2201,f2206,f2243,f2248,f2251,f2253,f2303,f2305,f3178,f7027]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC271+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/5.43 % Computer : n016.cluster.edu
% 0.16/5.43 % Model : x86_64 x86_64
% 0.16/5.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.43 % Memory : 8046.5625MB
% 0.16/5.43 % OS : Linux 6.8.0-71-generic
% 0.16/5.43 % CPULimit : 300
% 0.16/5.43 % WCLimit : 300
% 0.16/5.43 % DateTime : Mon Sep 21 08:15:28 UTC 2026
% 0.16/5.44 % CPUTime :
% 0.16/5.46 % Drodi V4.1.1
% 107.22/19.08 % Refutation found
% 107.22/19.08 % SZS status Theorem for theBenchmark: Theorem is valid
% 107.22/19.08 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.83/19.31 % Elapsed time: 13.854651 seconds
% 6.83/19.31 % CPU time: 108.205728 seconds
% 6.83/19.31 % Total memory used: 391.688 MB
% 6.83/19.31 % Net memory used: 361.599 MB
%------------------------------------------------------------------------------