%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC054+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 : n007.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 02:39:46 PM UTC 2026
% Result : Theorem 0.12s 0.40s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 24
% Syntax : Number of formulae : 109 ( 14 unt; 19 def)
% Number of atoms : 370 ( 71 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 424 ( 163 ~; 157 |; 72 &)
% ( 21 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 19 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 79 ( 60 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
? [U] :
( ? [V] :
( U != V
& ssItem(V) )
& ssItem(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,axiom,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ( ( segmentP(V,W)
& segmentP(U,V) )
=> segmentP(U,W) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,axiom,
! [U] :
( ssList(U)
=> ( segmentP(nil,U)
<=> nil = U ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ( ( ? [Z] :
( segmentP(U,Z)
& segmentP(V,Z)
& neq(Z,nil)
& ssList(Z) )
| ~ neq(V,nil) )
& ( nil = U
| nil != V ) )
| ( neq(X,nil)
& ! [Y] :
( ~ segmentP(W,Y)
| ~ segmentP(X,Y)
| ~ neq(Y,nil)
| ~ ssList(Y) ) )
| ( nil = X
& nil != 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] :
( ( ( ? [Z] :
( segmentP(U,Z)
& segmentP(V,Z)
& neq(Z,nil)
& ssList(Z) )
| ~ neq(V,nil) )
& ( nil = U
| nil != V ) )
| ( neq(X,nil)
& ! [Y] :
( ~ segmentP(W,Y)
| ~ segmentP(X,Y)
| ~ neq(Y,nil)
| ~ ssList(Y) ) )
| ( nil = X
& nil != W )
| U != W
| V != X
| ~ ssList(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(f105,plain,
sK0_skl != sK1_skl,
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f223,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f314,plain,
! [U] :
( ! [V] :
( ! [W] :
( segmentP(U,W)
| ~ segmentP(V,W)
| ~ segmentP(U,V)
| ~ ssList(W) )
| ~ ssList(V) )
| ~ ssList(U) ),
inference(pre_NNF_transformation,[status(thm)],[f53]) ).
fof(f315,plain,
! [X0,X1,X2] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f314]) ).
fof(f324,plain,
! [U] :
( ( segmentP(nil,U)
<=> nil = U )
| ~ ssList(U) ),
inference(pre_NNF_transformation,[status(thm)],[f58]) ).
fof(f325,plain,
! [U] :
( ( ( nil != U
| segmentP(nil,U) )
& ( nil = U
| ~ segmentP(nil,U) ) )
| ~ ssList(U) ),
inference(NNF_transformation,[status(thm)],[f324]) ).
fof(f327,plain,
! [X0] :
( nil != X0
| segmentP(nil,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(thm)],[f325]) ).
fof(f415,plain,
? [U] :
( ? [V] :
( ? [W] :
( ? [X] :
( ( ( ! [Z] :
( ~ segmentP(U,Z)
| ~ segmentP(V,Z)
| ~ neq(Z,nil)
| ~ ssList(Z) )
& neq(V,nil) )
| ( nil != U
& nil = V ) )
& ( ~ neq(X,nil)
| ? [Y] :
( segmentP(W,Y)
& segmentP(X,Y)
& neq(Y,nil)
& ssList(Y) ) )
& ( nil != X
| nil = W )
& U = W
& V = X
& ssList(X) )
& ssList(W) )
& ssList(V) )
& ssList(U) ),
inference(pre_NNF_transformation,[status(thm)],[f97]) ).
fof(f416,definition,
! [U,V] :
( sP0_prd(V,U)
<=> ( nil != U
& nil = V ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f417,plain,
? [U] :
( ? [V] :
( ? [W] :
( ? [X] :
( ( ( ! [Z] :
( ~ segmentP(U,Z)
| ~ segmentP(V,Z)
| ~ neq(Z,nil)
| ~ ssList(Z) )
& neq(V,nil) )
| sP0_prd(V,U) )
& ( ~ neq(X,nil)
| ? [Y] :
( segmentP(W,Y)
& segmentP(X,Y)
& neq(Y,nil)
& ssList(Y) ) )
& ( nil != X
| nil = W )
& U = W
& V = X
& ssList(X) )
& ssList(W) )
& ssList(V) )
& ssList(U) ),
inference(formula_renaming,[status(thm)],[f415,f416]) ).
fof(f418,plain,
? [U] :
( ? [V] :
( ? [W] :
( ( ( ! [Z] :
( ~ segmentP(U,Z)
| ~ segmentP(V,Z)
| ~ neq(Z,nil)
| ~ ssList(Z) )
& neq(V,nil) )
| sP0_prd(V,U) )
& ? [X] :
( ( ~ neq(X,nil)
| ? [Y] :
( segmentP(W,Y)
& segmentP(X,Y)
& neq(Y,nil)
& ssList(Y) ) )
& ( nil != X
| nil = W )
& U = W
& V = X
& ssList(X) )
& ssList(W) )
& ssList(V) )
& ssList(U) ),
inference(miniscoping,[status(thm)],[f417]) ).
fof(f419,plain,
( ( ( ! [Z] :
( ~ segmentP(sK47_skl,Z)
| ~ segmentP(sK48_skl,Z)
| ~ neq(Z,nil)
| ~ ssList(Z) )
& neq(sK48_skl,nil) )
| sP0_prd(sK48_skl,sK47_skl) )
& ( ~ neq(sK50_skl,nil)
| ( segmentP(sK49_skl,sK51_skl)
& segmentP(sK50_skl,sK51_skl)
& neq(sK51_skl,nil)
& ssList(sK51_skl) ) )
& ( nil != sK50_skl
| nil = 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,sK51_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl),skolemize(Y,sK51_skl)],[f418]) ).
fof(f422,plain,
ssList(sK49_skl),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f423,plain,
ssList(sK50_skl),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f424,plain,
sK48_skl = sK50_skl,
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f425,plain,
sK47_skl = sK49_skl,
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f426,plain,
( nil != sK50_skl
| nil = sK49_skl ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f427,plain,
( ~ neq(sK50_skl,nil)
| ssList(sK51_skl) ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f428,plain,
( ~ neq(sK50_skl,nil)
| neq(sK51_skl,nil) ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f429,plain,
( ~ neq(sK50_skl,nil)
| segmentP(sK50_skl,sK51_skl) ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f430,plain,
( ~ neq(sK50_skl,nil)
| segmentP(sK49_skl,sK51_skl) ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f431,plain,
( neq(sK48_skl,nil)
| sP0_prd(sK48_skl,sK47_skl) ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f432,plain,
! [X0] :
( ~ segmentP(sK47_skl,X0)
| ~ segmentP(sK48_skl,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| sP0_prd(sK48_skl,sK47_skl) ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f433,plain,
! [U,V] :
( ( nil = U
| nil != V
| sP0_prd(V,U) )
& ( ( nil != U
& nil = V )
| ~ sP0_prd(V,U) ) ),
inference(NNF_transformation,[status(thm)],[f416]) ).
fof(f434,plain,
( ! [U,V] :
( nil = U
| nil != V
| sP0_prd(V,U) )
& ! [U,V] :
( ( nil != U
& nil = V )
| ~ sP0_prd(V,U) ) ),
inference(miniscoping,[status(thm)],[f433]) ).
fof(f435,plain,
! [X0,X1] :
( nil = X0
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f436,plain,
! [X0,X1] :
( nil != X1
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f437,plain,
! [X0,X1] :
( nil = X1
| nil != X0
| sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f438,definition,
( sQ0_spl
<=> nil = sK49_skl ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f439,plain,
( ~ sQ0_spl
| nil = sK49_skl ),
inference(component_clause,[status(thm)],[f438]) ).
fof(f441,definition,
( sQ1_spl
<=> nil = sK50_skl ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f443,plain,
( sQ1_spl
| nil != sK50_skl ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f426,f438,f441]) ).
fof(f445,definition,
( sQ2_spl
<=> ssList(sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f448,definition,
( sQ3_spl
<=> neq(sK50_skl,nil) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( sQ3_spl
| ~ neq(sK50_skl,nil) ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,plain,
( ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f427,f445,f448]) ).
fof(f452,definition,
( sQ4_spl
<=> neq(sK51_skl,nil) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( ~ sQ4_spl
| neq(sK51_skl,nil) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,plain,
( ~ sQ3_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f428,f452,f448]) ).
fof(f456,definition,
( sQ5_spl
<=> segmentP(sK50_skl,sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( ~ sQ3_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f429,f456,f448]) ).
fof(f460,definition,
( sQ6_spl
<=> segmentP(sK49_skl,sK51_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f463,plain,
( ~ sQ3_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f430,f460,f448]) ).
fof(f464,definition,
( sQ7_spl
<=> sP0_prd(sK48_skl,sK47_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f465,plain,
( ~ sQ7_spl
| sP0_prd(sK48_skl,sK47_skl) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,definition,
( sQ8_spl
<=> neq(sK48_skl,nil) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( ~ sQ8_spl
| neq(sK48_skl,nil) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,plain,
( sQ8_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f431,f464,f467]) ).
fof(f471,definition,
! [X0] :
( sQ9_spl
<=> ( ~ segmentP(sK47_skl,X0)
| ~ segmentP(sK48_skl,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f472,plain,
! [X0] :
( ~ sQ9_spl
| ~ segmentP(sK47_skl,X0)
| ~ segmentP(sK48_skl,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,plain,
( sQ9_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f432,f464,f471]) ).
fof(f498,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(destructive_equality_resolution,[status(thm)],[f327]) ).
fof(f505,plain,
! [X0] : ~ sP0_prd(X0,nil),
inference(destructive_equality_resolution,[status(thm)],[f436]) ).
fof(f506,plain,
! [X0] :
( nil = X0
| sP0_prd(nil,X0) ),
inference(destructive_equality_resolution,[status(thm)],[f437]) ).
fof(f510,plain,
! [X0] :
( ~ sQ0_spl
| ~ sP0_prd(X0,sK49_skl) ),
inference(forward_demodulation,[status(thm)],[f439,f505]) ).
fof(f512,plain,
( ~ sQ7_spl
| sP0_prd(sK50_skl,sK47_skl) ),
inference(forward_demodulation,[status(thm)],[f424,f465]) ).
fof(f513,plain,
( ~ sQ7_spl
| sP0_prd(sK50_skl,sK49_skl) ),
inference(forward_demodulation,[status(thm)],[f425,f512]) ).
fof(f514,plain,
( ~ sQ7_spl
| ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f513,f510]) ).
fof(f515,plain,
( ~ sQ7_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f514]) ).
fof(f516,plain,
( ~ sQ8_spl
| neq(sK50_skl,nil) ),
inference(forward_demodulation,[status(thm)],[f424,f468]) ).
fof(f517,plain,
! [X0] :
( ~ sQ9_spl
| ~ segmentP(sK47_skl,X0)
| ~ segmentP(sK50_skl,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f424,f472]) ).
fof(f518,plain,
! [X0] :
( ~ sQ9_spl
| ~ segmentP(sK49_skl,X0)
| ~ segmentP(sK50_skl,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(forward_demodulation,[status(thm)],[f425,f517]) ).
fof(f522,plain,
( sQ3_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f450,f516]) ).
fof(f523,plain,
( sQ3_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f522]) ).
fof(f524,plain,
( ~ sQ7_spl
| nil = sK50_skl ),
inference(resolution,[status(thm)],[f435,f513]) ).
fof(f525,plain,
( ~ sQ7_spl
| sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f524,f443]) ).
fof(f526,plain,
( ~ sQ7_spl
| sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f525]) ).
fof(f528,plain,
! [X0] :
( nil = nil
| nil = X0 ),
inference(resolution,[status(thm)],[f506,f435]) ).
fof(f529,definition,
! [X0] :
( sQ10_spl
<=> nil = X0 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f530,plain,
! [X0] :
( ~ sQ10_spl
| nil = X0 ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,definition,
( sQ11_spl
<=> nil = nil ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f535,plain,
( sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f528,f529,f532]) ).
fof(f536,plain,
! [X0,X1] :
( ~ sQ10_spl
| X0 = X1 ),
inference(paramodulation,[status(thm)],[f530,f530]) ).
fof(f549,plain,
( ~ sQ10_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f105,f536]) ).
fof(f550,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f549]) ).
fof(f569,definition,
! [X0] :
( sQ12_spl
<=> sK49_skl = X0 ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f570,plain,
! [X0] :
( ~ sQ12_spl
| sK49_skl = X0 ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f576,plain,
! [X0,X1] :
( ~ sQ12_spl
| X0 = X1 ),
inference(paramodulation,[status(thm)],[f570,f570]) ).
fof(f591,plain,
( ~ sQ12_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f105,f576]) ).
fof(f592,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f591]) ).
fof(f610,definition,
( sQ15_spl
<=> ssList(sK49_skl) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f612,plain,
( sQ15_spl
| ~ ssList(sK49_skl) ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f615,definition,
( sQ16_spl
<=> ssList(nil) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f617,plain,
( sQ16_spl
| ~ ssList(nil) ),
inference(component_clause,[status(thm)],[f615]) ).
fof(f618,definition,
( sQ17_spl
<=> segmentP(nil,nil) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f619,plain,
( ~ sQ17_spl
| segmentP(nil,nil) ),
inference(component_clause,[status(thm)],[f618]) ).
fof(f621,plain,
( sQ17_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f498,f615,f618]) ).
fof(f636,definition,
( sQ20_spl
<=> ssList(sK50_skl) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f638,plain,
( sQ20_spl
| ~ ssList(sK50_skl) ),
inference(component_clause,[status(thm)],[f636]) ).
fof(f640,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f612,f422]) ).
fof(f641,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f640]) ).
fof(f642,plain,
( sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f617,f223]) ).
fof(f643,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f642]) ).
fof(f644,plain,
! [X0] :
( ~ sQ17_spl
| segmentP(X0,nil)
| ~ segmentP(X0,nil)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[f619,f315]) ).
fof(f645,definition,
! [X0] :
( sQ21_spl
<=> ( segmentP(X0,nil)
| ~ segmentP(X0,nil)
| ~ ssList(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f648,plain,
( ~ sQ17_spl
| ~ sQ16_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f644,f645,f615,f618]) ).
fof(f659,plain,
( sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f638,f423]) ).
fof(f660,plain,
sQ20_spl,
inference(contradiction_clause,[status(thm)],[f659]) ).
fof(f674,plain,
( ~ sQ4_spl
| ~ sQ9_spl
| ~ segmentP(sK49_skl,sK51_skl)
| ~ segmentP(sK50_skl,sK51_skl)
| ~ ssList(sK51_skl) ),
inference(resolution,[status(thm)],[f518,f453]) ).
fof(f677,plain,
( ~ sQ4_spl
| ~ sQ9_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f674,f445,f456,f460,f471,f452]) ).
fof(f689,plain,
$false,
inference(sat_refutation,[status(thm)],[f444,f451,f455,f459,f463,f470,f474,f515,f523,f526,f535,f550,f592,f621,f641,f643,f648,f660,f677]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC054+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n007.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 07:49:50 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.42 % Elapsed time: 0.066476 seconds
% 0.12/0.42 % CPU time: 0.180097 seconds
% 0.12/0.42 % Total memory used: 110.825 MB
% 0.12/0.42 % Net memory used: 110.701 MB
%------------------------------------------------------------------------------