%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC379+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 : n018.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 02:41:00 PM UTC 2026
% Result : Theorem 0.03s 0.38s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 19
% Syntax : Number of formulae : 94 ( 5 unt; 15 def)
% Number of atoms : 411 ( 48 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 523 ( 206 ~; 216 |; 64 &)
% ( 15 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 16 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 69 ( 56 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f29,axiom,
! [U] :
( ssItem(U)
=> ! [V] :
( ssItem(V)
=> ( ( leq(V,U)
& leq(U,V) )
=> U = V ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [U] :
( ssItem(U)
=> ! [V] :
( ssItem(V)
=> ! [W] :
( ssItem(W)
=> ( ( leq(V,W)
& leq(U,V) )
=> leq(U,W) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [U] :
( ssItem(U)
=> leq(U,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ! [X1] :
( ssItem(X1)
=> ( ( memberP(U,X1)
& memberP(V,X1)
& ! [X2] :
( ssItem(X2)
=> ( X1 = X2
| ~ leq(X2,X1)
| ~ memberP(V,X2) ) ) )
| ( ( ? [X2] :
( leq(X2,X1)
& memberP(V,X2)
& X1 != X2
& ssItem(X2) )
| ~ memberP(V,X1) )
& ~ memberP(U,X1) ) ) )
| ? [Y] :
( ( ( ( ? [Z] :
( leq(Z,Y)
& memberP(X,Z)
& Y != Z
& ssItem(Z) )
| ~ memberP(X,Y) )
& memberP(W,Y) )
| ( memberP(X,Y)
& ! [Z] :
( ssItem(Z)
=> ( Y = Z
| ~ leq(Z,Y)
| ~ memberP(X,Z) ) )
& ~ memberP(W,Y) ) )
& ssItem(Y) )
| 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)
=> ( ! [X1] :
( ssItem(X1)
=> ( ( memberP(U,X1)
& memberP(V,X1)
& ! [X2] :
( ssItem(X2)
=> ( X1 = X2
| ~ leq(X2,X1)
| ~ memberP(V,X2) ) ) )
| ( ( ? [X2] :
( leq(X2,X1)
& memberP(V,X2)
& X1 != X2
& ssItem(X2) )
| ~ memberP(V,X1) )
& ~ memberP(U,X1) ) ) )
| ? [Y] :
( ( ( ( ? [Z] :
( leq(Z,Y)
& memberP(X,Z)
& Y != Z
& ssItem(Z) )
| ~ memberP(X,Y) )
& memberP(W,Y) )
| ( memberP(X,Y)
& ! [Z] :
( ssItem(Z)
=> ( Y = Z
| ~ leq(Z,Y)
| ~ memberP(X,Z) ) )
& ~ memberP(W,Y) ) )
& ssItem(Y) )
| U != W
| V != X ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f250,plain,
! [U] :
( ! [V] :
( U = V
| ~ leq(V,U)
| ~ leq(U,V)
| ~ ssItem(V) )
| ~ ssItem(U) ),
inference(pre_NNF_transformation,[status(thm)],[f29]) ).
fof(f251,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f252,plain,
! [U] :
( ! [V] :
( ! [W] :
( leq(U,W)
| ~ leq(V,W)
| ~ leq(U,V)
| ~ ssItem(W) )
| ~ ssItem(V) )
| ~ ssItem(U) ),
inference(pre_NNF_transformation,[status(thm)],[f30]) ).
fof(f253,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f254,plain,
! [U] :
( leq(U,U)
| ~ ssItem(U) ),
inference(pre_NNF_transformation,[status(thm)],[f31]) ).
fof(f255,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f415,plain,
? [U] :
( ? [V] :
( ? [W] :
( ? [X] :
( ? [X1] :
( ( ~ memberP(U,X1)
| ~ memberP(V,X1)
| ? [X2] :
( X1 != X2
& leq(X2,X1)
& memberP(V,X2)
& ssItem(X2) ) )
& ( ( ! [X2] :
( ~ leq(X2,X1)
| ~ memberP(V,X2)
| X1 = X2
| ~ ssItem(X2) )
& memberP(V,X1) )
| memberP(U,X1) )
& ssItem(X1) )
& ! [Y] :
( ( ( ( ! [Z] :
( ~ leq(Z,Y)
| ~ memberP(X,Z)
| Y = Z
| ~ ssItem(Z) )
& memberP(X,Y) )
| ~ memberP(W,Y) )
& ( ~ memberP(X,Y)
| ? [Z] :
( Y != Z
& leq(Z,Y)
& memberP(X,Z)
& ssItem(Z) )
| memberP(W,Y) ) )
| ~ ssItem(Y) )
& U = W
& V = X
& ssList(X) )
& ssList(W) )
& ssList(V) )
& ssList(U) ),
inference(pre_NNF_transformation,[status(thm)],[f97]) ).
fof(f416,plain,
( ( ~ memberP(sK47_skl,sK52_skl)
| ~ memberP(sK48_skl,sK52_skl)
| ( sK52_skl != sK53_skl
& leq(sK53_skl,sK52_skl)
& memberP(sK48_skl,sK53_skl)
& ssItem(sK53_skl) ) )
& ( ( ! [X2] :
( ~ leq(X2,sK52_skl)
| ~ memberP(sK48_skl,X2)
| sK52_skl = X2
| ~ ssItem(X2) )
& memberP(sK48_skl,sK52_skl) )
| memberP(sK47_skl,sK52_skl) )
& ssItem(sK52_skl)
& ! [Y] :
( ( ( ( ! [Z] :
( ~ leq(Z,Y)
| ~ memberP(sK50_skl,Z)
| Y = Z
| ~ ssItem(Z) )
& memberP(sK50_skl,Y) )
| ~ memberP(sK49_skl,Y) )
& ( ~ memberP(sK50_skl,Y)
| ( Y != sK51_skl(Y)
& leq(sK51_skl(Y),Y)
& memberP(sK50_skl,sK51_skl(Y))
& ssItem(sK51_skl(Y)) )
| memberP(sK49_skl,Y) ) )
| ~ ssItem(Y) )
& 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,sK51_skl,sK52_skl,sK53_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl),skolemize(Z,sK51_skl(Y)),skolemize(X1,sK52_skl),skolemize(X2,sK53_skl)],[f415]) ).
fof(f421,plain,
sK48_skl = sK50_skl,
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f422,plain,
sK47_skl = sK49_skl,
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f423,plain,
! [X0] :
( ~ memberP(sK50_skl,X0)
| ssItem(sK51_skl(X0))
| memberP(sK49_skl,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f424,plain,
! [X0] :
( ~ memberP(sK50_skl,X0)
| memberP(sK50_skl,sK51_skl(X0))
| memberP(sK49_skl,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f425,plain,
! [X0] :
( ~ memberP(sK50_skl,X0)
| leq(sK51_skl(X0),X0)
| memberP(sK49_skl,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f426,plain,
! [X0] :
( ~ memberP(sK50_skl,X0)
| X0 != sK51_skl(X0)
| memberP(sK49_skl,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f427,plain,
! [X0] :
( memberP(sK50_skl,X0)
| ~ memberP(sK49_skl,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f428,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| ~ memberP(sK50_skl,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ memberP(sK49_skl,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f429,plain,
ssItem(sK52_skl),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f430,plain,
( memberP(sK48_skl,sK52_skl)
| memberP(sK47_skl,sK52_skl) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f431,plain,
! [X0] :
( ~ leq(X0,sK52_skl)
| ~ memberP(sK48_skl,X0)
| sK52_skl = X0
| ~ ssItem(X0)
| memberP(sK47_skl,sK52_skl) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f432,plain,
( ~ memberP(sK47_skl,sK52_skl)
| ~ memberP(sK48_skl,sK52_skl)
| ssItem(sK53_skl) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f433,plain,
( ~ memberP(sK47_skl,sK52_skl)
| ~ memberP(sK48_skl,sK52_skl)
| memberP(sK48_skl,sK53_skl) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f434,plain,
( ~ memberP(sK47_skl,sK52_skl)
| ~ memberP(sK48_skl,sK52_skl)
| leq(sK53_skl,sK52_skl) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f435,plain,
( ~ memberP(sK47_skl,sK52_skl)
| ~ memberP(sK48_skl,sK52_skl)
| sK52_skl != sK53_skl ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f436,definition,
( sQ0_spl
<=> memberP(sK47_skl,sK52_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f437,plain,
( ~ sQ0_spl
| memberP(sK47_skl,sK52_skl) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f438,plain,
( sQ0_spl
| ~ memberP(sK47_skl,sK52_skl) ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,definition,
( sQ1_spl
<=> memberP(sK48_skl,sK52_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f440,plain,
( ~ sQ1_spl
| memberP(sK48_skl,sK52_skl) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f441,plain,
( sQ1_spl
| ~ memberP(sK48_skl,sK52_skl) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f430,f436,f439]) ).
fof(f443,definition,
! [X0] :
( sQ2_spl
<=> ( ~ leq(X0,sK52_skl)
| ~ memberP(sK48_skl,X0)
| sK52_skl = X0
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f444,plain,
! [X0] :
( ~ sQ2_spl
| ~ leq(X0,sK52_skl)
| ~ memberP(sK48_skl,X0)
| sK52_skl = X0
| ~ ssItem(X0) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f431,f436,f443]) ).
fof(f447,definition,
( sQ3_spl
<=> ssItem(sK53_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f432,f447,f439,f436]) ).
fof(f451,definition,
( sQ4_spl
<=> memberP(sK48_skl,sK53_skl) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( ~ sQ4_spl
| memberP(sK48_skl,sK53_skl) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f433,f451,f439,f436]) ).
fof(f455,definition,
( sQ5_spl
<=> leq(sK53_skl,sK52_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f458,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f434,f455,f439,f436]) ).
fof(f459,definition,
( sQ6_spl
<=> sK52_skl = sK53_skl ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f435,f459,f439,f436]) ).
fof(f495,plain,
( sQ1_spl
| ~ memberP(sK50_skl,sK52_skl) ),
inference(forward_demodulation,[status(thm)],[f421,f441]) ).
fof(f496,plain,
( ~ sQ0_spl
| memberP(sK49_skl,sK52_skl) ),
inference(forward_demodulation,[status(thm)],[f422,f437]) ).
fof(f497,plain,
( ~ sQ0_spl
| memberP(sK50_skl,sK52_skl)
| ~ ssItem(sK52_skl) ),
inference(resolution,[status(thm)],[f427,f496]) ).
fof(f498,definition,
( sQ7_spl
<=> ssItem(sK52_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f500,plain,
( sQ7_spl
| ~ ssItem(sK52_skl) ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f501,definition,
( sQ8_spl
<=> memberP(sK50_skl,sK52_skl) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( sQ8_spl
| ~ memberP(sK50_skl,sK52_skl) ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f504,plain,
( ~ sQ0_spl
| sQ8_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f497,f498,f501,f436]) ).
fof(f505,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f500,f429]) ).
fof(f506,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f505]) ).
fof(f507,plain,
! [X0] :
( ~ sQ2_spl
| ~ leq(X0,sK52_skl)
| ~ memberP(sK50_skl,X0)
| sK52_skl = X0
| ~ ssItem(X0) ),
inference(forward_demodulation,[status(thm)],[f421,f444]) ).
fof(f508,plain,
( sQ0_spl
| ~ memberP(sK49_skl,sK52_skl) ),
inference(forward_demodulation,[status(thm)],[f422,f438]) ).
fof(f509,plain,
( ~ sQ1_spl
| memberP(sK50_skl,sK52_skl) ),
inference(forward_demodulation,[status(thm)],[f421,f440]) ).
fof(f515,definition,
( sQ9_spl
<=> sK52_skl = sK52_skl ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f518,definition,
( sQ10_spl
<=> leq(sK52_skl,sK52_skl) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( ~ sQ10_spl
| leq(sK52_skl,sK52_skl) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f520,plain,
( sQ10_spl
| ~ leq(sK52_skl,sK52_skl) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f523,definition,
( sQ11_spl
<=> memberP(sK49_skl,sK52_skl) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f524,plain,
( ~ sQ11_spl
| memberP(sK49_skl,sK52_skl) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f530,plain,
( ~ sQ11_spl
| sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f524,f508]) ).
fof(f531,plain,
( ~ sQ11_spl
| sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f530]) ).
fof(f539,plain,
! [X0] :
( ~ sQ2_spl
| ~ leq(sK51_skl(X0),sK52_skl)
| sK52_skl = sK51_skl(X0)
| ~ ssItem(sK51_skl(X0))
| ~ memberP(sK50_skl,X0)
| memberP(sK49_skl,X0)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[f424,f507]) ).
fof(f541,plain,
! [X0] :
( ~ sQ2_spl
| ~ leq(sK51_skl(X0),sK52_skl)
| sK52_skl = sK51_skl(X0)
| ~ memberP(sK50_skl,X0)
| memberP(sK49_skl,X0)
| ~ ssItem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f539,f423]) ).
fof(f549,plain,
( ~ sQ2_spl
| ~ memberP(sK50_skl,sK52_skl)
| memberP(sK49_skl,sK52_skl)
| ~ ssItem(sK52_skl)
| sK52_skl = sK51_skl(sK52_skl)
| ~ memberP(sK50_skl,sK52_skl)
| memberP(sK49_skl,sK52_skl)
| ~ ssItem(sK52_skl) ),
inference(resolution,[status(thm)],[f541,f425]) ).
fof(f550,definition,
( sQ13_spl
<=> sK52_skl = sK51_skl(sK52_skl) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f551,plain,
( ~ sQ13_spl
| sK52_skl = sK51_skl(sK52_skl) ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f553,plain,
( ~ sQ2_spl
| sQ13_spl
| ~ sQ8_spl
| sQ11_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f549,f498,f523,f501,f550,f443]) ).
fof(f555,plain,
( ~ sQ13_spl
| ~ memberP(sK50_skl,sK52_skl)
| memberP(sK49_skl,sK52_skl)
| ~ ssItem(sK52_skl) ),
inference(resolution,[status(thm)],[f551,f426]) ).
fof(f561,plain,
( ~ sQ13_spl
| ~ sQ8_spl
| sQ11_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f555,f498,f523,f501,f550]) ).
fof(f567,plain,
( sQ8_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f503,f509]) ).
fof(f568,plain,
( sQ8_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f567]) ).
fof(f569,plain,
( sQ1_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f495,f501,f439]) ).
fof(f570,plain,
( ~ sQ4_spl
| memberP(sK50_skl,sK53_skl) ),
inference(forward_demodulation,[status(thm)],[f421,f452]) ).
fof(f571,plain,
! [X0] :
( ~ sQ0_spl
| ~ leq(X0,sK52_skl)
| ~ memberP(sK50_skl,X0)
| sK52_skl = X0
| ~ ssItem(X0)
| ~ ssItem(sK52_skl) ),
inference(resolution,[status(thm)],[f496,f428]) ).
fof(f573,definition,
! [X0] :
( sQ14_spl
<=> ( ~ leq(X0,sK52_skl)
| ~ memberP(sK50_skl,X0)
| sK52_skl = X0
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f574,plain,
! [X0] :
( ~ sQ14_spl
| ~ leq(X0,sK52_skl)
| ~ memberP(sK50_skl,X0)
| sK52_skl = X0
| ~ ssItem(X0) ),
inference(component_clause,[status(thm)],[f573]) ).
fof(f576,plain,
( ~ sQ0_spl
| sQ14_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f571,f498,f573,f436]) ).
fof(f661,plain,
( sQ10_spl
| ~ ssItem(sK52_skl) ),
inference(resolution,[status(thm)],[f520,f255]) ).
fof(f662,plain,
( sQ10_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f661,f498,f518]) ).
fof(f663,plain,
! [X0] :
( ~ sQ10_spl
| leq(X0,sK52_skl)
| ~ leq(X0,sK52_skl)
| ~ ssItem(sK52_skl)
| ~ ssItem(sK52_skl)
| ~ ssItem(X0) ),
inference(resolution,[status(thm)],[f519,f253]) ).
fof(f664,plain,
( ~ sQ10_spl
| sK52_skl = sK52_skl
| ~ leq(sK52_skl,sK52_skl)
| ~ ssItem(sK52_skl)
| ~ ssItem(sK52_skl) ),
inference(resolution,[status(thm)],[f519,f251]) ).
fof(f665,definition,
! [X0] :
( sQ29_spl
<=> ( leq(X0,sK52_skl)
| ~ leq(X0,sK52_skl)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f668,plain,
( ~ sQ10_spl
| ~ sQ7_spl
| sQ29_spl ),
inference(split_clause,[status(thm)],[f663,f665,f498,f518]) ).
fof(f669,plain,
( sQ9_spl
| ~ sQ10_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f664,f498,f518,f515]) ).
fof(f696,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| ~ leq(sK53_skl,sK52_skl)
| sK52_skl = sK53_skl
| ~ ssItem(sK53_skl) ),
inference(resolution,[status(thm)],[f574,f570]) ).
fof(f699,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| ~ sQ5_spl
| sQ6_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f696,f447,f459,f455,f573,f451]) ).
fof(f701,plain,
$false,
inference(sat_refutation,[status(thm)],[f442,f446,f450,f454,f458,f462,f504,f506,f531,f553,f561,f568,f569,f576,f662,f668,f669,f699]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC379+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n018.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 08:21:29 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.37 % Drodi V4.1.1
% 0.03/0.38 % Refutation found
% 0.03/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.03/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.03/0.41 % Elapsed time: 0.049519 seconds
% 0.03/0.41 % CPU time: 0.114683 seconds
% 0.03/0.41 % Total memory used: 28.218 MB
% 0.03/0.41 % Net memory used: 28.157 MB
%------------------------------------------------------------------------------