%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG093+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 : Tue Sep 29 12:36:01 PM UTC 2026
% Result : Theorem 0.23s 0.52s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 10
% Syntax : Number of formulae : 92 ( 9 unt; 8 def)
% Number of atoms : 319 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 348 ( 121 ~; 114 |; 76 &)
% ( 13 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 9 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 47 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
( aSet0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xI) ) ) )
& aIdeal0(xI)
& aSet0(xJ)
& ! [X0] :
( aElementOf0(X0,xJ)
=> ( ! [X1] :
( aElementOf0(X1,xJ)
=> aElementOf0(sdtpldt0(X0,X1),xJ) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),xJ) ) ) )
& aIdeal0(xJ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1150) ).
fof(f27,conjecture,
( ( aSet0(sdtasasdt0(xI,xJ))
& ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X0,xI)
& aElementOf0(X0,xJ) ) ) )
=> ( ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
=> ( ! [X1] :
( aElementOf0(X1,sdtasasdt0(xI,xJ))
=> aElementOf0(sdtpldt0(X0,X1),sdtasasdt0(xI,xJ)) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ)) ) ) )
| aIdeal0(sdtasasdt0(xI,xJ)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f28,negated_conjecture,
~ ( ( aSet0(sdtasasdt0(xI,xJ))
& ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X0,xI)
& aElementOf0(X0,xJ) ) ) )
=> ( ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
=> ( ! [X1] :
( aElementOf0(X1,sdtasasdt0(xI,xJ))
=> aElementOf0(sdtpldt0(X0,X1),sdtasasdt0(xI,xJ)) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),sdtasasdt0(xI,xJ)) ) ) )
| aIdeal0(sdtasasdt0(xI,xJ)) ) ),
inference(negated_conjecture,[status(cth)],[f27]) ).
fof(f33,plain,
( aSet0(xI)
& ! [X0] :
( aElementOf0(X0,xI)
=> ( ! [X1] :
( aElementOf0(X1,xI)
=> aElementOf0(sdtpldt0(X0,X1),xI) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X0),xI) ) ) )
& aIdeal0(xI)
& aSet0(xJ)
& ! [X3] :
( aElementOf0(X3,xJ)
=> ( ! [X4] :
( aElementOf0(X4,xJ)
=> aElementOf0(sdtpldt0(X3,X4),xJ) )
& ! [X5] :
( aElement0(X5)
=> aElementOf0(sdtasdt0(X5,X3),xJ) ) ) )
& aIdeal0(xJ) ),
inference(rectify,[],[f26]) ).
fof(f34,plain,
~ ( ( aSet0(sdtasasdt0(xI,xJ))
& ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X0,xI)
& aElementOf0(X0,xJ) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtasasdt0(xI,xJ))
=> ( ! [X2] :
( aElementOf0(X2,sdtasasdt0(xI,xJ))
=> aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ)) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X1),sdtasasdt0(xI,xJ)) ) ) )
| aIdeal0(sdtasasdt0(xI,xJ)) ) ),
inference(rectify,[],[f28]) ).
fof(f67,plain,
( aSet0(xI)
& ! [X0] :
( ( ! [X1] :
( aElementOf0(sdtpldt0(X0,X1),xI)
| ~ aElementOf0(X1,xI) )
& ! [X2] :
( aElementOf0(sdtasdt0(X2,X0),xI)
| ~ aElement0(X2) ) )
| ~ aElementOf0(X0,xI) )
& aIdeal0(xI)
& aSet0(xJ)
& ! [X3] :
( ( ! [X4] :
( aElementOf0(sdtpldt0(X3,X4),xJ)
| ~ aElementOf0(X4,xJ) )
& ! [X5] :
( aElementOf0(sdtasdt0(X5,X3),xJ)
| ~ aElement0(X5) ) )
| ~ aElementOf0(X3,xJ) )
& aIdeal0(xJ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f68,plain,
( ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ))
& aElementOf0(X2,sdtasasdt0(xI,xJ)) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),sdtasasdt0(xI,xJ))
& aElement0(X3) ) )
& aElementOf0(X1,sdtasasdt0(xI,xJ)) )
& ~ aIdeal0(sdtasasdt0(xI,xJ))
& aSet0(sdtasasdt0(xI,xJ))
& ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X0,xI)
& aElementOf0(X0,xJ) ) ) ),
inference(ennf_transformation,[],[f34]) ).
fof(f69,plain,
( ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ))
& aElementOf0(X2,sdtasasdt0(xI,xJ)) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),sdtasasdt0(xI,xJ))
& aElement0(X3) ) )
& aElementOf0(X1,sdtasasdt0(xI,xJ)) )
& ~ aIdeal0(sdtasasdt0(xI,xJ))
& aSet0(sdtasasdt0(xI,xJ))
& ! [X0] :
( aElementOf0(X0,sdtasasdt0(xI,xJ))
<=> ( aElementOf0(X0,xI)
& aElementOf0(X0,xJ) ) ) ),
inference(flattening,[],[f68]) ).
fof(f88,plain,
( ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ))
& aElementOf0(X2,sdtasasdt0(xI,xJ)) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),sdtasasdt0(xI,xJ))
& aElement0(X3) ) )
& aElementOf0(X1,sdtasasdt0(xI,xJ)) )
& ~ aIdeal0(sdtasasdt0(xI,xJ))
& aSet0(sdtasasdt0(xI,xJ))
& ! [X0] :
( ( aElementOf0(X0,sdtasasdt0(xI,xJ))
| ~ aElementOf0(X0,xI)
| ~ aElementOf0(X0,xJ) )
& ( ( aElementOf0(X0,xI)
& aElementOf0(X0,xJ) )
| ~ aElementOf0(X0,sdtasasdt0(xI,xJ)) ) ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f89,plain,
( ? [X1] :
( ( ? [X2] :
( ~ aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ))
& aElementOf0(X2,sdtasasdt0(xI,xJ)) )
| ? [X3] :
( ~ aElementOf0(sdtasdt0(X3,X1),sdtasasdt0(xI,xJ))
& aElement0(X3) ) )
& aElementOf0(X1,sdtasasdt0(xI,xJ)) )
& ~ aIdeal0(sdtasasdt0(xI,xJ))
& aSet0(sdtasasdt0(xI,xJ))
& ! [X0] :
( ( aElementOf0(X0,sdtasasdt0(xI,xJ))
| ~ aElementOf0(X0,xI)
| ~ aElementOf0(X0,xJ) )
& ( ( aElementOf0(X0,xI)
& aElementOf0(X0,xJ) )
| ~ aElementOf0(X0,sdtasasdt0(xI,xJ)) ) ) ),
inference(flattening,[],[f88]) ).
fof(f90,plain,
( ? [X0] :
( ( ? [X1] :
( ~ aElementOf0(sdtpldt0(X0,X1),sdtasasdt0(xI,xJ))
& aElementOf0(X1,sdtasasdt0(xI,xJ)) )
| ? [X2] :
( ~ aElementOf0(sdtasdt0(X2,X0),sdtasasdt0(xI,xJ))
& aElement0(X2) ) )
& aElementOf0(X0,sdtasasdt0(xI,xJ)) )
& ~ aIdeal0(sdtasasdt0(xI,xJ))
& aSet0(sdtasasdt0(xI,xJ))
& ! [X3] :
( ( aElementOf0(X3,sdtasasdt0(xI,xJ))
| ~ aElementOf0(X3,xI)
| ~ aElementOf0(X3,xJ) )
& ( ( aElementOf0(X3,xI)
& aElementOf0(X3,xJ) )
| ~ aElementOf0(X3,sdtasasdt0(xI,xJ)) ) ) ),
inference(rectify,[],[f89]) ).
fof(f91,plain,
( ( ( ~ aElementOf0(sdtpldt0(sK13,sK14),sdtasasdt0(xI,xJ))
& aElementOf0(sK14,sdtasasdt0(xI,xJ)) )
| ( ~ aElementOf0(sdtasdt0(sK15,sK13),sdtasasdt0(xI,xJ))
& aElement0(sK15) ) )
& aElementOf0(sK13,sdtasasdt0(xI,xJ))
& ~ aIdeal0(sdtasasdt0(xI,xJ))
& aSet0(sdtasasdt0(xI,xJ))
& ! [X3] :
( ( aElementOf0(X3,sdtasasdt0(xI,xJ))
| ~ aElementOf0(X3,xI)
| ~ aElementOf0(X3,xJ) )
& ( ( aElementOf0(X3,xI)
& aElementOf0(X3,xJ) )
| ~ aElementOf0(X3,sdtasasdt0(xI,xJ)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14,sK15]),skolemize(X0,sK13),skolemize(X1,sK14),skolemize(X2,sK15)],[f90]) ).
fof(f149,plain,
! [X3,X5] :
( aElementOf0(sdtasdt0(X5,X3),xJ)
| ~ aElement0(X5)
| ~ aElementOf0(X3,xJ) ),
inference(cnf_transformation,[],[f67]) ).
fof(f150,plain,
! [X3,X4] :
( aElementOf0(sdtpldt0(X3,X4),xJ)
| ~ aElementOf0(X4,xJ)
| ~ aElementOf0(X3,xJ) ),
inference(cnf_transformation,[],[f67]) ).
fof(f153,plain,
! [X2,X0] :
( aElementOf0(sdtasdt0(X2,X0),xI)
| ~ aElement0(X2)
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f67]) ).
fof(f154,plain,
! [X0,X1] :
( aElementOf0(sdtpldt0(X0,X1),xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X0,xI) ),
inference(cnf_transformation,[],[f67]) ).
fof(f156,plain,
! [X3] :
( ~ aElementOf0(X3,sdtasasdt0(xI,xJ))
| aElementOf0(X3,xJ) ),
inference(cnf_transformation,[],[f91]) ).
fof(f157,plain,
! [X3] :
( ~ aElementOf0(X3,sdtasasdt0(xI,xJ))
| aElementOf0(X3,xI) ),
inference(cnf_transformation,[],[f91]) ).
fof(f158,plain,
! [X3] :
( aElementOf0(X3,sdtasasdt0(xI,xJ))
| ~ aElementOf0(X3,xI)
| ~ aElementOf0(X3,xJ) ),
inference(cnf_transformation,[],[f91]) ).
fof(f161,plain,
aElementOf0(sK13,sdtasasdt0(xI,xJ)),
inference(cnf_transformation,[],[f91]) ).
fof(f162,plain,
( aElementOf0(sK14,sdtasasdt0(xI,xJ))
| aElement0(sK15) ),
inference(cnf_transformation,[],[f91]) ).
fof(f163,plain,
( aElementOf0(sK14,sdtasasdt0(xI,xJ))
| ~ aElementOf0(sdtasdt0(sK15,sK13),sdtasasdt0(xI,xJ)) ),
inference(cnf_transformation,[],[f91]) ).
fof(f164,plain,
( ~ aElementOf0(sdtpldt0(sK13,sK14),sdtasasdt0(xI,xJ))
| aElement0(sK15) ),
inference(cnf_transformation,[],[f91]) ).
fof(f165,plain,
( ~ aElementOf0(sdtpldt0(sK13,sK14),sdtasasdt0(xI,xJ))
| ~ aElementOf0(sdtasdt0(sK15,sK13),sdtasasdt0(xI,xJ)) ),
inference(cnf_transformation,[],[f91]) ).
fof(f173,definition,
( spl16_1
<=> aElementOf0(sdtasdt0(sK15,sK13),sdtasasdt0(xI,xJ)) ),
introduced(definition,[new_symbols(definition,[spl16_1])],[avatar_definition]) ).
fof(f174,plain,
( aElementOf0(sdtasdt0(sK15,sK13),sdtasasdt0(xI,xJ))
| ~ spl16_1 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f175,plain,
( ~ aElementOf0(sdtasdt0(sK15,sK13),sdtasasdt0(xI,xJ))
| spl16_1 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f177,definition,
( spl16_2
<=> aElementOf0(sdtpldt0(sK13,sK14),sdtasasdt0(xI,xJ)) ),
introduced(definition,[new_symbols(definition,[spl16_2])],[avatar_definition]) ).
fof(f179,plain,
( ~ aElementOf0(sdtpldt0(sK13,sK14),sdtasasdt0(xI,xJ))
| spl16_2 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f180,plain,
( ~ spl16_1
| ~ spl16_2 ),
inference(avatar_split_clause,[],[f165,f177,f173]) ).
fof(f182,definition,
( spl16_3
<=> aElement0(sK15) ),
introduced(definition,[new_symbols(definition,[spl16_3])],[avatar_definition]) ).
fof(f183,plain,
( ~ aElement0(sK15)
| spl16_3 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f184,plain,
( aElement0(sK15)
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f186,definition,
( spl16_4
<=> aElementOf0(sK14,sdtasasdt0(xI,xJ)) ),
introduced(definition,[new_symbols(definition,[spl16_4])],[avatar_definition]) ).
fof(f187,plain,
( ~ aElementOf0(sK14,sdtasasdt0(xI,xJ))
| spl16_4 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f188,plain,
( aElementOf0(sK14,sdtasasdt0(xI,xJ))
| ~ spl16_4 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f189,plain,
( spl16_3
| spl16_4 ),
inference(avatar_split_clause,[],[f162,f186,f182]) ).
fof(f196,plain,
aElementOf0(sK13,xJ),
inference(resolution,[],[f156,f161]) ).
fof(f202,plain,
aElementOf0(sK13,xI),
inference(resolution,[],[f157,f161]) ).
fof(f241,plain,
( ~ aElementOf0(sdtasdt0(sK15,sK13),xI)
| ~ aElementOf0(sdtasdt0(sK15,sK13),xJ)
| spl16_1 ),
inference(resolution,[],[f158,f175]) ).
fof(f247,definition,
( spl16_13
<=> aElementOf0(sdtasdt0(sK15,sK13),xJ) ),
introduced(definition,[new_symbols(definition,[spl16_13])],[avatar_definition]) ).
fof(f249,plain,
( ~ aElementOf0(sdtasdt0(sK15,sK13),xJ)
| spl16_13 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f251,definition,
( spl16_14
<=> aElementOf0(sdtasdt0(sK15,sK13),xI) ),
introduced(definition,[new_symbols(definition,[spl16_14])],[avatar_definition]) ).
fof(f253,plain,
( ~ aElementOf0(sdtasdt0(sK15,sK13),xI)
| spl16_14 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f254,plain,
( ~ spl16_13
| ~ spl16_14
| spl16_1 ),
inference(avatar_split_clause,[],[f241,f173,f251,f247]) ).
fof(f255,plain,
( ~ aElement0(sK15)
| ~ aElementOf0(sK13,xJ)
| spl16_13 ),
inference(resolution,[],[f249,f149]) ).
fof(f256,plain,
( ~ aElementOf0(sK13,xJ)
| ~ spl16_3
| spl16_13 ),
inference(forward_subsumption_resolution,[],[f255,f184]) ).
fof(f257,plain,
( $false
| ~ spl16_3
| spl16_13 ),
inference(forward_subsumption_resolution,[],[f256,f196]) ).
fof(f258,plain,
( ~ spl16_3
| spl16_13 ),
inference(avatar_contradiction_clause,[],[f257]) ).
fof(f274,plain,
( ~ aElement0(sK15)
| ~ aElementOf0(sK13,xI)
| spl16_14 ),
inference(resolution,[],[f153,f253]) ).
fof(f275,plain,
( ~ aElementOf0(sK13,xI)
| ~ spl16_3
| spl16_14 ),
inference(forward_subsumption_resolution,[],[f274,f184]) ).
fof(f276,plain,
( $false
| ~ spl16_3
| spl16_14 ),
inference(forward_subsumption_resolution,[],[f275,f202]) ).
fof(f277,plain,
( ~ spl16_3
| spl16_14 ),
inference(avatar_contradiction_clause,[],[f276]) ).
fof(f279,plain,
( aElementOf0(sK14,xI)
| ~ spl16_4 ),
inference(resolution,[],[f188,f157]) ).
fof(f280,plain,
( aElementOf0(sK14,xJ)
| ~ spl16_4 ),
inference(resolution,[],[f188,f156]) ).
fof(f281,plain,
( ~ aElementOf0(sdtpldt0(sK13,sK14),sdtasasdt0(xI,xJ))
| spl16_3 ),
inference(forward_subsumption_resolution,[],[f164,f183]) ).
fof(f282,plain,
( ~ spl16_2
| spl16_3 ),
inference(avatar_split_clause,[],[f281,f182,f177]) ).
fof(f283,plain,
( ~ aElementOf0(sdtpldt0(sK13,sK14),xI)
| ~ aElementOf0(sdtpldt0(sK13,sK14),xJ)
| spl16_2 ),
inference(resolution,[],[f179,f158]) ).
fof(f285,definition,
( spl16_18
<=> aElementOf0(sdtpldt0(sK13,sK14),xJ) ),
introduced(definition,[new_symbols(definition,[spl16_18])],[avatar_definition]) ).
fof(f287,plain,
( ~ aElementOf0(sdtpldt0(sK13,sK14),xJ)
| spl16_18 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f289,definition,
( spl16_19
<=> aElementOf0(sdtpldt0(sK13,sK14),xI) ),
introduced(definition,[new_symbols(definition,[spl16_19])],[avatar_definition]) ).
fof(f291,plain,
( ~ aElementOf0(sdtpldt0(sK13,sK14),xI)
| spl16_19 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f292,plain,
( ~ spl16_18
| ~ spl16_19
| spl16_2 ),
inference(avatar_split_clause,[],[f283,f177,f289,f285]) ).
fof(f302,plain,
( ~ aElementOf0(sK14,xJ)
| ~ aElementOf0(sK13,xJ)
| spl16_18 ),
inference(resolution,[],[f150,f287]) ).
fof(f303,plain,
( ~ aElementOf0(sK13,xJ)
| ~ spl16_4
| spl16_18 ),
inference(forward_subsumption_resolution,[],[f302,f280]) ).
fof(f304,plain,
( $false
| ~ spl16_4
| spl16_18 ),
inference(forward_subsumption_resolution,[],[f303,f196]) ).
fof(f305,plain,
( ~ spl16_4
| spl16_18 ),
inference(avatar_contradiction_clause,[],[f304]) ).
fof(f312,plain,
( ~ aElementOf0(sK14,xI)
| ~ aElementOf0(sK13,xI)
| spl16_19 ),
inference(resolution,[],[f154,f291]) ).
fof(f313,plain,
( ~ aElementOf0(sK13,xI)
| ~ spl16_4
| spl16_19 ),
inference(forward_subsumption_resolution,[],[f312,f279]) ).
fof(f314,plain,
( $false
| ~ spl16_4
| spl16_19 ),
inference(forward_subsumption_resolution,[],[f313,f202]) ).
fof(f315,plain,
( ~ spl16_4
| spl16_19 ),
inference(avatar_contradiction_clause,[],[f314]) ).
fof(f318,plain,
( aElementOf0(sK14,sdtasasdt0(xI,xJ))
| ~ spl16_1 ),
inference(forward_subsumption_resolution,[],[f163,f174]) ).
fof(f322,plain,
( $false
| ~ spl16_1
| spl16_4 ),
inference(forward_subsumption_resolution,[],[f318,f187]) ).
fof(f323,plain,
( ~ spl16_1
| spl16_4 ),
inference(avatar_contradiction_clause,[],[f322]) ).
cnf(s77,plain,
( ~ spl16_1
| ~ spl16_2 ),
inference(sat_conversion,[],[f180]) ).
cnf(s84,plain,
( spl16_3
| spl16_4 ),
inference(sat_conversion,[],[f189]) ).
cnf(s135,plain,
( spl16_1
| ~ spl16_13
| ~ spl16_14 ),
inference(sat_conversion,[],[f254]) ).
cnf(s138,plain,
( ~ spl16_3
| spl16_13 ),
inference(sat_conversion,[],[f258]) ).
cnf(s152,plain,
( ~ spl16_3
| spl16_14 ),
inference(sat_conversion,[],[f277]) ).
cnf(s166,plain,
( ~ spl16_2
| spl16_3 ),
inference(sat_conversion,[],[f282]) ).
cnf(s171,plain,
( spl16_2
| ~ spl16_18
| ~ spl16_19 ),
inference(sat_conversion,[],[f292]) ).
cnf(s181,plain,
( ~ spl16_4
| spl16_18 ),
inference(sat_conversion,[],[f305]) ).
cnf(s192,plain,
( ~ spl16_4
| spl16_19 ),
inference(sat_conversion,[],[f315]) ).
cnf(s205,plain,
( ~ spl16_1
| spl16_4 ),
inference(sat_conversion,[],[f323]) ).
cnf(s206,plain,
( ~ spl16_4
| spl16_2 ),
inference(rat,[],[s171,s181,s192]) ).
cnf(s207,plain,
( ~ spl16_3
| spl16_1 ),
inference(rat,[],[s135,s138,s152]) ).
cnf(s208,plain,
spl16_3,
inference(rat,[],[s206,s84,s166]) ).
cnf(s211,plain,
spl16_1,
inference(rat,[],[s207,s208]) ).
cnf(s212,plain,
spl16_4,
inference(rat,[],[s205,s211]) ).
cnf(s213,plain,
~ spl16_2,
inference(rat,[],[s77,s211]) ).
cnf(s216,plain,
$false,
inference(rat,[],[s206,s213,s212]) ).
fof(f324,plain,
$false,
inference(avatar_sat_refutation,[],[s216]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG093+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41 % Computer : n020.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.41 % CPULimit : 300
% 0.14/0.41 % WCLimit : 300
% 0.14/0.41 % DateTime : Sun Sep 27 23:14:49 UTC 2026
% 0.14/0.41 % CPUTime :
% 0.14/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.47 Running first-order model finding
% 0.14/0.47 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.52 % (3875715)Will run a generic schedule for satisfiability detection.
% 0.23/0.52 % (3875723)dis+10_1_sil=32000:sp=arity:random_seed=324857882:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.23/0.52 % (3875722)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2775864953:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.23/0.52 % (3875721)% WARNING: option uhcvi not known.
% 0.23/0.52 % (3875722) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3875715-3875722"...
% 0.23/0.52 % (3875723) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3875715-3875723"...
% 0.23/0.52 % (3875720)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3324121993_2999 on theBenchmark for (2999ds/0Mi)
% 0.23/0.52 % (3875721)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3290184628:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.23/0.52 % (3875726)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2799668230:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.23/0.52 % (3875725)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1421014076:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.23/0.52 % (3875722)...printing done.
% 0.23/0.52 % (3875723)...printing done.
% 0.23/0.52 % (3875722)Refutation found. Thanks to Tanya!
% 0.23/0.52 % SZS status Theorem for theBenchmark
% 0.23/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.52 % (3875722)------------------------------
% 0.23/0.52 % (3875722)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.23/0.52 % (3875722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/0.52 % (3875722)CaDiCaL version: 2.1.3
% 0.23/0.52 % (3875722)Termination reason: Refutation
% 0.23/0.52 % (3875722)Time elapsed: 0.008 s
% 0.23/0.52 % (3875722)Peak memory usage: 12 MB
% 0.23/0.52 % (3875722)Instructions burned: 9 (million)
% 0.23/0.52 % (3875715)Success in time 0.039 s
% 0.23/0.52 % Vampire exiting
%------------------------------------------------------------------------------