%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM545+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 01:40:56 PM UTC 2026
% Result : Theorem 0.10s 0.40s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 18
% Syntax : Number of formulae : 83 ( 13 unt; 11 def)
% Number of atoms : 289 ( 33 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 307 ( 101 ~; 90 |; 86 &)
% ( 20 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 11 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-1 aty)
% Number of variables : 72 ( 62 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,definition,
! [W0] :
( W0 = slcrc0
<=> ( ~ ? [W1] : aElementOf0(W1,W0)
& aSet0(W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( szszuzczcdt0(W0) != sz00
& aElementOf0(szszuzczcdt0(W0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [W0] :
( aSet0(W0)
=> ( sbrdtbr0(W0) = sz00
<=> W0 = slcrc0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,hypothesis,
( isFinite0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [W0] :
( aElementOf0(W0,xS)
=> aElementOf0(W0,szNzAzT0) )
& aSet0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,hypothesis,
( ~ ( xS = slcrc0
& ~ ? [W0] : aElementOf0(W0,xS) )
=> ( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [W0] :
( aElementOf0(W0,xS)
=> aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
& ! [W0] :
( aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(szmzazxdt0(xS)))
& aElementOf0(W0,szNzAzT0) ) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [W0] :
( aElementOf0(W0,xS)
=> sdtlseqdt0(W0,szmzazxdt0(xS)) )
& aElementOf0(szmzazxdt0(xS),xS) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,conjecture,
? [W0] :
( ( ( ! [W1] :
( aElementOf0(W1,slbdtrb0(W0))
<=> ( sdtlseqdt0(szszuzczcdt0(W1),W0)
& aElementOf0(W1,szNzAzT0) ) )
& aSet0(slbdtrb0(W0)) )
=> ( aSubsetOf0(xS,slbdtrb0(W0))
| ! [W1] :
( aElementOf0(W1,xS)
=> aElementOf0(W1,slbdtrb0(W0)) ) ) )
& aElementOf0(W0,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
~ ? [W0] :
( ( ( ! [W1] :
( aElementOf0(W1,slbdtrb0(W0))
<=> ( sdtlseqdt0(szszuzczcdt0(W1),W0)
& aElementOf0(W1,szNzAzT0) ) )
& aSet0(slbdtrb0(W0)) )
=> ( aSubsetOf0(xS,slbdtrb0(W0))
| ! [W1] :
( aElementOf0(W1,xS)
=> aElementOf0(W1,slbdtrb0(W0)) ) ) )
& aElementOf0(W0,szNzAzT0) ),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f69,plain,
! [W0] :
( W0 = slcrc0
<=> ( ! [W1] : ~ aElementOf0(W1,W0)
& aSet0(W0) ) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f70,plain,
! [W0] :
( ( ? [W1] : aElementOf0(W1,W0)
| ~ aSet0(W0)
| W0 = slcrc0 )
& ( ( ! [W1] : ~ aElementOf0(W1,W0)
& aSet0(W0) )
| W0 != slcrc0 ) ),
inference(NNF_transformation,[status(thm)],[f69]) ).
fof(f71,plain,
( ! [W0] :
( ? [W1] : aElementOf0(W1,W0)
| ~ aSet0(W0)
| W0 = slcrc0 )
& ! [W0] :
( ( ! [W1] : ~ aElementOf0(W1,W0)
& aSet0(W0) )
| W0 != slcrc0 ) ),
inference(miniscoping,[status(thm)],[f70]) ).
fof(f72,plain,
( ! [W0] :
( aElementOf0(sK0_skl(W0),W0)
| ~ aSet0(W0)
| W0 = slcrc0 )
& ! [W0] :
( ( ! [W1] : ~ aElementOf0(W1,W0)
& aSet0(W0) )
| W0 != slcrc0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(W1,sK0_skl(W0))],[f71]) ).
fof(f73,plain,
! [X0] :
( aSet0(X0)
| X0 != slcrc0 ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f135,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f137,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f138,plain,
! [W0] :
( ( szszuzczcdt0(W0) != sz00
& aElementOf0(szszuzczcdt0(W0),szNzAzT0) )
| ~ aElementOf0(W0,szNzAzT0) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f139,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f138]) ).
fof(f179,plain,
! [W0] :
( ( sbrdtbr0(W0) = sz00
<=> W0 = slcrc0 )
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f42]) ).
fof(f180,plain,
! [W0] :
( ( ( W0 != slcrc0
| sbrdtbr0(W0) = sz00 )
& ( W0 = slcrc0
| sbrdtbr0(W0) != sz00 ) )
| ~ aSet0(W0) ),
inference(NNF_transformation,[status(thm)],[f179]) ).
fof(f182,plain,
! [X0] :
( X0 != slcrc0
| sbrdtbr0(X0) = sz00
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f180]) ).
fof(f234,plain,
( isFinite0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
| ~ aElementOf0(W0,xS) )
& aSet0(xS) ),
inference(pre_NNF_transformation,[status(thm)],[f55]) ).
fof(f235,plain,
aSet0(xS),
inference(cnf_transformation,[status(thm)],[f234]) ).
fof(f236,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[status(thm)],[f234]) ).
fof(f239,plain,
( ( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [W0] :
( aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(W0,xS) )
& ! [W0] :
( aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(szmzazxdt0(xS)))
& aElementOf0(W0,szNzAzT0) ) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [W0] :
( sdtlseqdt0(W0,szmzazxdt0(xS))
| ~ aElementOf0(W0,xS) )
& aElementOf0(szmzazxdt0(xS),xS) )
| ( xS = slcrc0
& ! [W0] : ~ aElementOf0(W0,xS) ) ),
inference(pre_NNF_transformation,[status(thm)],[f56]) ).
fof(f240,definition,
( sP1_prd
<=> ( xS = slcrc0
& ! [W0] : ~ aElementOf0(W0,xS) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f241,plain,
( ( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [W0] :
( aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(W0,xS) )
& ! [W0] :
( aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
<=> ( sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(szmzazxdt0(xS)))
& aElementOf0(W0,szNzAzT0) ) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [W0] :
( sdtlseqdt0(W0,szmzazxdt0(xS))
| ~ aElementOf0(W0,xS) )
& aElementOf0(szmzazxdt0(xS),xS) )
| sP1_prd ),
inference(formula_renaming,[status(thm)],[f239,f240]) ).
fof(f242,plain,
( ( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [W0] :
( aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(W0,xS) )
& ! [W0] :
( ( ~ sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(szmzazxdt0(xS)))
| ~ aElementOf0(W0,szNzAzT0)
| aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
& ( ( sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(szmzazxdt0(xS)))
& aElementOf0(W0,szNzAzT0) )
| ~ aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [W0] :
( sdtlseqdt0(W0,szmzazxdt0(xS))
| ~ aElementOf0(W0,xS) )
& aElementOf0(szmzazxdt0(xS),xS) )
| sP1_prd ),
inference(NNF_transformation,[status(thm)],[f241]) ).
fof(f243,plain,
( ( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [W0] :
( aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(W0,xS) )
& ! [W0] :
( ~ sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(szmzazxdt0(xS)))
| ~ aElementOf0(W0,szNzAzT0)
| aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
& ! [W0] :
( ( sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(szmzazxdt0(xS)))
& aElementOf0(W0,szNzAzT0) )
| ~ aElementOf0(W0,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) )
& aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& ! [W0] :
( sdtlseqdt0(W0,szmzazxdt0(xS))
| ~ aElementOf0(W0,xS) )
& aElementOf0(szmzazxdt0(xS),xS) )
| sP1_prd ),
inference(miniscoping,[status(thm)],[f242]) ).
fof(f244,plain,
( aElementOf0(szmzazxdt0(xS),xS)
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f243]) ).
fof(f251,plain,
( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| sP1_prd ),
inference(cnf_transformation,[status(thm)],[f243]) ).
fof(f252,plain,
! [W0] :
( ( ~ aSubsetOf0(xS,slbdtrb0(W0))
& ? [W1] :
( ~ aElementOf0(W1,slbdtrb0(W0))
& aElementOf0(W1,xS) )
& ! [W1] :
( aElementOf0(W1,slbdtrb0(W0))
<=> ( sdtlseqdt0(szszuzczcdt0(W1),W0)
& aElementOf0(W1,szNzAzT0) ) )
& aSet0(slbdtrb0(W0)) )
| ~ aElementOf0(W0,szNzAzT0) ),
inference(pre_NNF_transformation,[status(thm)],[f58]) ).
fof(f253,plain,
! [W0] :
( ( ~ aSubsetOf0(xS,slbdtrb0(W0))
& ? [W1] :
( ~ aElementOf0(W1,slbdtrb0(W0))
& aElementOf0(W1,xS) )
& ! [W1] :
( ( ~ sdtlseqdt0(szszuzczcdt0(W1),W0)
| ~ aElementOf0(W1,szNzAzT0)
| aElementOf0(W1,slbdtrb0(W0)) )
& ( ( sdtlseqdt0(szszuzczcdt0(W1),W0)
& aElementOf0(W1,szNzAzT0) )
| ~ aElementOf0(W1,slbdtrb0(W0)) ) )
& aSet0(slbdtrb0(W0)) )
| ~ aElementOf0(W0,szNzAzT0) ),
inference(NNF_transformation,[status(thm)],[f252]) ).
fof(f254,plain,
! [W0] :
( ( ~ aSubsetOf0(xS,slbdtrb0(W0))
& ? [W1] :
( ~ aElementOf0(W1,slbdtrb0(W0))
& aElementOf0(W1,xS) )
& ! [W1] :
( ~ sdtlseqdt0(szszuzczcdt0(W1),W0)
| ~ aElementOf0(W1,szNzAzT0)
| aElementOf0(W1,slbdtrb0(W0)) )
& ! [W1] :
( ( sdtlseqdt0(szszuzczcdt0(W1),W0)
& aElementOf0(W1,szNzAzT0) )
| ~ aElementOf0(W1,slbdtrb0(W0)) )
& aSet0(slbdtrb0(W0)) )
| ~ aElementOf0(W0,szNzAzT0) ),
inference(miniscoping,[status(thm)],[f253]) ).
fof(f255,plain,
! [W0] :
( ( ~ aSubsetOf0(xS,slbdtrb0(W0))
& ~ aElementOf0(sK9_skl(W0),slbdtrb0(W0))
& aElementOf0(sK9_skl(W0),xS)
& ! [W1] :
( ~ sdtlseqdt0(szszuzczcdt0(W1),W0)
| ~ aElementOf0(W1,szNzAzT0)
| aElementOf0(W1,slbdtrb0(W0)) )
& ! [W1] :
( ( sdtlseqdt0(szszuzczcdt0(W1),W0)
& aElementOf0(W1,szNzAzT0) )
| ~ aElementOf0(W1,slbdtrb0(W0)) )
& aSet0(slbdtrb0(W0)) )
| ~ aElementOf0(W0,szNzAzT0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(W1,sK9_skl(W0))],[f254]) ).
fof(f260,plain,
! [X0] :
( aElementOf0(sK9_skl(X0),xS)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f255]) ).
fof(f262,plain,
! [X0] :
( ~ aSubsetOf0(xS,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[status(thm)],[f255]) ).
fof(f269,plain,
( ( xS != slcrc0
| ? [W0] : aElementOf0(W0,xS)
| sP1_prd )
& ( ( xS = slcrc0
& ! [W0] : ~ aElementOf0(W0,xS) )
| ~ sP1_prd ) ),
inference(NNF_transformation,[status(thm)],[f240]) ).
fof(f270,plain,
( ( xS != slcrc0
| aElementOf0(sK10_skl,xS)
| sP1_prd )
& ( ( xS = slcrc0
& ! [W0] : ~ aElementOf0(W0,xS) )
| ~ sP1_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(W0,sK10_skl)],[f269]) ).
fof(f271,plain,
! [X0] :
( ~ aElementOf0(X0,xS)
| ~ sP1_prd ),
inference(cnf_transformation,[status(thm)],[f270]) ).
fof(f274,definition,
( sQ0_spl
<=> sP1_prd ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f277,definition,
( sQ1_spl
<=> aElementOf0(szmzazxdt0(xS),xS) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f278,plain,
( ~ sQ1_spl
| aElementOf0(szmzazxdt0(xS),xS) ),
inference(component_clause,[status(thm)],[f277]) ).
fof(f280,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f244,f274,f277]) ).
fof(f305,definition,
( sQ8_spl
<=> aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f306,plain,
( ~ sQ8_spl
| aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f308,plain,
( sQ8_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f251,f274,f305]) ).
fof(f309,definition,
! [X0] :
( sQ9_spl
<=> ~ aElementOf0(X0,xS) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f310,plain,
! [X0] :
( ~ sQ9_spl
| ~ aElementOf0(X0,xS) ),
inference(component_clause,[status(thm)],[f309]) ).
fof(f312,plain,
( sQ9_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f271,f274,f309]) ).
fof(f321,plain,
aSet0(slcrc0),
inference(destructive_equality_resolution,[status(thm)],[f73]) ).
fof(f340,plain,
( sbrdtbr0(slcrc0) = sz00
| ~ aSet0(slcrc0) ),
inference(destructive_equality_resolution,[status(thm)],[f182]) ).
fof(f341,plain,
sbrdtbr0(slcrc0) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[f340,f321]) ).
fof(f357,definition,
( sQ12_spl
<=> aSet0(szNzAzT0) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f359,plain,
( sQ12_spl
| ~ aSet0(szNzAzT0) ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f367,plain,
! [X0] :
( ~ sQ9_spl
| ~ aElementOf0(X0,szNzAzT0) ),
inference(backward_subsumption_resolution,[status(thm)],[f260,f310]) ).
fof(f375,plain,
( ~ sQ9_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f137,f367]) ).
fof(f390,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f375]) ).
fof(f420,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f359,f135]) ).
fof(f421,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f420]) ).
fof(f428,definition,
( sQ18_spl
<=> aSet0(slcrc0) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f430,plain,
( sQ18_spl
| ~ aSet0(slcrc0) ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f433,plain,
( sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f430,f321]) ).
fof(f434,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f433]) ).
fof(f445,definition,
( sQ20_spl
<=> aSet0(xS) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( sQ20_spl
| ~ aSet0(xS) ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f449,definition,
( sQ21_spl
<=> aElementOf0(sz00,szNzAzT0) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( sQ21_spl
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f456,plain,
( sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f451,f137]) ).
fof(f457,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f456]) ).
fof(f459,plain,
( sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f447,f235]) ).
fof(f460,plain,
sQ20_spl,
inference(contradiction_clause,[status(thm)],[f459]) ).
fof(f711,definition,
( sQ46_spl
<=> sbrdtbr0(slcrc0) = sz00 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f713,plain,
( sQ46_spl
| sbrdtbr0(slcrc0) != sz00 ),
inference(component_clause,[status(thm)],[f711]) ).
fof(f715,plain,
( sQ46_spl
| sz00 != sz00 ),
inference(forward_demodulation,[status(thm)],[f341,f713]) ).
fof(f716,plain,
( sQ46_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f715]) ).
fof(f717,plain,
sQ46_spl,
inference(contradiction_clause,[status(thm)],[f716]) ).
fof(f810,plain,
( ~ sQ1_spl
| aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
inference(resolution,[status(thm)],[f278,f236]) ).
fof(f830,plain,
( ~ sQ8_spl
| ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0) ),
inference(resolution,[status(thm)],[f306,f262]) ).
fof(f857,plain,
( ~ sQ8_spl
| ~ aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
inference(resolution,[status(thm)],[f830,f139]) ).
fof(f858,plain,
( ~ sQ8_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f857,f810]) ).
fof(f859,plain,
( ~ sQ8_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f858]) ).
fof(f860,plain,
$false,
inference(sat_refutation,[status(thm)],[f280,f308,f312,f390,f421,f434,f457,f460,f717,f859]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM545+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 02:41:51 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.40 % Refutation found
% 0.10/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.44 % Elapsed time: 0.064070 seconds
% 0.14/0.44 % CPU time: 0.208269 seconds
% 0.14/0.44 % Total memory used: 62.405 MB
% 0.14/0.44 % Net memory used: 62.137 MB
%------------------------------------------------------------------------------