%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG106+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 12:36:04 PM UTC 2026
% Result : Theorem 0.04s 0.40s
% Output : Refutation 0.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 94 ( 16 unt; 8 def)
% Number of atoms : 346 ( 21 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 417 ( 165 ~; 182 |; 44 &)
% ( 15 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 14 ( 12 usr; 9 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 72 ( 0 sgn 62 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f37,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( X1 = slsdtgt0(X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefPrIdeal) ).
fof(f38,axiom,
aElement0(xc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1905) ).
fof(f39,conjecture,
( ! [X0,X1,X2] :
( ( aElementOf0(X0,slsdtgt0(xc))
& aElementOf0(X1,slsdtgt0(xc))
& aElement0(X2) )
=> ? [X3] :
( aElement0(X3)
& sdtasdt0(xc,X3) = X0
& ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X1
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X3,X4))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X3,X2))
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc)) ) ) )
=> aIdeal0(slsdtgt0(xc)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f40,negated_conjecture,
~ ( ! [X0,X1,X2] :
( ( aElementOf0(X0,slsdtgt0(xc))
& aElementOf0(X1,slsdtgt0(xc))
& aElement0(X2) )
=> ? [X3] :
( aElement0(X3)
& sdtasdt0(xc,X3) = X0
& ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X1
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X3,X4))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X3,X2))
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc)) ) ) )
=> aIdeal0(slsdtgt0(xc)) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f42,plain,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X1),X0) ) ) ) ) ),
inference(rectify,[],[f24]) ).
fof(f75,plain,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) )
| ~ aElementOf0(X1,X0) ) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( X1 = slsdtgt0(X0)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
<=> ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 ) ) ) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f99,plain,
( ~ aIdeal0(slsdtgt0(xc))
& ! [X0,X1,X2] :
( ? [X3] :
( aElement0(X3)
& sdtasdt0(xc,X3) = X0
& ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X1
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X3,X4))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X3,X2))
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc)) ) )
| ~ aElementOf0(X0,slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElement0(X2) ) ),
inference(ennf_transformation,[],[f40]) ).
fof(f100,plain,
( ~ aIdeal0(slsdtgt0(xc))
& ! [X0,X1,X2] :
( ? [X3] :
( aElement0(X3)
& sdtasdt0(xc,X3) = X0
& ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X1
& sdtpldt0(X0,X1) = sdtasdt0(xc,sdtpldt0(X3,X4))
& sdtasdt0(X2,X0) = sdtasdt0(xc,sdtasdt0(X3,X2))
& aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
& aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc)) ) )
| ~ aElementOf0(X0,slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElement0(X2) ) ),
inference(flattening,[],[f99]) ).
fof(f146,plain,
! [X0] :
( ~ aElementOf0(sdtasdt0(sK9(X0),sK8(X0)),X0)
| aElementOf0(sK10(X0),X0)
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f147,plain,
! [X0] :
( ~ aElementOf0(sdtasdt0(sK9(X0),sK8(X0)),X0)
| ~ aElementOf0(sdtpldt0(sK8(X0),sK10(X0)),X0)
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f148,plain,
! [X0] :
( aElement0(sK9(X0))
| aElementOf0(sK10(X0),X0)
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f149,plain,
! [X0] :
( aElement0(sK9(X0))
| ~ aElementOf0(sdtpldt0(sK8(X0),sK10(X0)),X0)
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f151,plain,
! [X0] :
( aElementOf0(sK8(X0),X0)
| ~ aSet0(X0)
| aIdeal0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f188,plain,
! [X0,X1] :
( ~ aElement0(X0)
| aSet0(X1)
| slsdtgt0(X0) != X1 ),
inference(cnf_transformation,[],[f98]) ).
fof(f189,plain,
aElement0(xc),
inference(cnf_transformation,[],[f38]) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc))
| aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f191,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc))
| aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f198,plain,
~ aIdeal0(slsdtgt0(xc)),
inference(cnf_transformation,[],[f100]) ).
fof(f210,plain,
! [X0] :
( ~ aElement0(X0)
| aSet0(slsdtgt0(X0)) ),
inference(equality_resolution,[],[f188]) ).
fof(f237,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0)
| aElementOf0(sK8(X0),X0) ),
inference(consistent_polarity_flipping,[],[f151]) ).
fof(f239,plain,
! [X0] :
( ~ aElementOf0(sdtpldt0(sK8(X0),sK10(X0)),X0)
| aElement0(sK9(X0))
| aSet0(X0)
| ~ aIdeal0(X0) ),
inference(consistent_polarity_flipping,[],[f149]) ).
fof(f240,plain,
! [X0] :
( ~ aIdeal0(X0)
| aElementOf0(sK10(X0),X0)
| aSet0(X0)
| aElement0(sK9(X0)) ),
inference(consistent_polarity_flipping,[],[f148]) ).
fof(f241,plain,
! [X0] :
( ~ aElementOf0(sdtasdt0(sK9(X0),sK8(X0)),X0)
| ~ aElementOf0(sdtpldt0(sK8(X0),sK10(X0)),X0)
| aSet0(X0)
| ~ aIdeal0(X0) ),
inference(consistent_polarity_flipping,[],[f147]) ).
fof(f242,plain,
! [X0] :
( ~ aElementOf0(sdtasdt0(sK9(X0),sK8(X0)),X0)
| aElementOf0(sK10(X0),X0)
| aSet0(X0)
| ~ aIdeal0(X0) ),
inference(consistent_polarity_flipping,[],[f146]) ).
fof(f266,plain,
! [X0] :
( ~ aSet0(slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(consistent_polarity_flipping,[],[f210]) ).
fof(f270,plain,
aIdeal0(slsdtgt0(xc)),
inference(consistent_polarity_flipping,[],[f198]) ).
fof(f272,definition,
( spl22_1
<=> ! [X1] : ~ aElementOf0(X1,slsdtgt0(xc)) ),
introduced(definition,[new_symbols(definition,[spl22_1])],[avatar_definition]) ).
fof(f273,plain,
( ! [X1] : ~ aElementOf0(X1,slsdtgt0(xc))
| ~ spl22_1 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f275,definition,
( spl22_2
<=> ! [X2,X0] :
( ~ aElement0(X2)
| aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc)) ) ),
introduced(definition,[new_symbols(definition,[spl22_2])],[avatar_definition]) ).
fof(f276,plain,
( ! [X2,X0] :
( aElementOf0(sdtasdt0(X2,X0),slsdtgt0(xc))
| ~ aElement0(X2)
| ~ aElementOf0(X0,slsdtgt0(xc)) )
| ~ spl22_2 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f277,plain,
( spl22_1
| spl22_2 ),
inference(avatar_split_clause,[],[f190,f275,f272]) ).
fof(f279,definition,
( spl22_3
<=> ! [X0,X1] :
( ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc))
| aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc)) ) ),
introduced(definition,[new_symbols(definition,[spl22_3])],[avatar_definition]) ).
fof(f280,plain,
( ! [X0,X1] :
( aElementOf0(sdtpldt0(X0,X1),slsdtgt0(xc))
| ~ aElementOf0(X0,slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc)) )
| ~ spl22_3 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f282,definition,
( spl22_4
<=> ! [X2] : ~ aElement0(X2) ),
introduced(definition,[new_symbols(definition,[spl22_4])],[avatar_definition]) ).
fof(f283,plain,
( ! [X2] : ~ aElement0(X2)
| ~ spl22_4 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f284,plain,
( spl22_3
| spl22_4 ),
inference(avatar_split_clause,[],[f191,f282,f279]) ).
fof(f355,definition,
( spl22_6
<=> aSet0(slsdtgt0(xc)) ),
introduced(definition,[new_symbols(definition,[spl22_6])],[avatar_definition]) ).
fof(f356,plain,
( ~ aSet0(slsdtgt0(xc))
| spl22_6 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f357,plain,
( aSet0(slsdtgt0(xc))
| ~ spl22_6 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f392,plain,
( aSet0(slsdtgt0(xc))
| aElementOf0(sK8(slsdtgt0(xc)),slsdtgt0(xc)) ),
inference(resolution,[],[f237,f270]) ).
fof(f394,plain,
( aSet0(slsdtgt0(xc))
| ~ spl22_1 ),
inference(forward_subsumption_resolution,[],[f392,f273]) ).
fof(f395,plain,
( spl22_6
| ~ spl22_1 ),
inference(avatar_split_clause,[],[f394,f272,f355]) ).
fof(f398,definition,
( spl22_8
<=> aElementOf0(sK8(slsdtgt0(xc)),slsdtgt0(xc)) ),
introduced(definition,[new_symbols(definition,[spl22_8])],[avatar_definition]) ).
fof(f400,plain,
( aElementOf0(sK8(slsdtgt0(xc)),slsdtgt0(xc))
| ~ spl22_8 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f401,plain,
( spl22_8
| spl22_6 ),
inference(avatar_split_clause,[],[f392,f355,f398]) ).
fof(f415,plain,
( ~ aElement0(xc)
| ~ spl22_6 ),
inference(resolution,[],[f357,f266]) ).
fof(f416,plain,
( $false
| ~ spl22_6 ),
inference(forward_subsumption_resolution,[],[f415,f189]) ).
fof(f417,plain,
~ spl22_6,
inference(avatar_contradiction_clause,[],[f416]) ).
fof(f517,definition,
( spl22_9
<=> aElement0(sK9(slsdtgt0(xc))) ),
introduced(definition,[new_symbols(definition,[spl22_9])],[avatar_definition]) ).
fof(f519,plain,
( aElement0(sK9(slsdtgt0(xc)))
| ~ spl22_9 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f521,definition,
( spl22_10
<=> aElementOf0(sK10(slsdtgt0(xc)),slsdtgt0(xc)) ),
introduced(definition,[new_symbols(definition,[spl22_10])],[avatar_definition]) ).
fof(f523,plain,
( aElementOf0(sK10(slsdtgt0(xc)),slsdtgt0(xc))
| ~ spl22_10 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f624,plain,
( aElement0(sK9(slsdtgt0(xc)))
| aSet0(slsdtgt0(xc))
| ~ aIdeal0(slsdtgt0(xc))
| ~ aElementOf0(sK8(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aElementOf0(sK10(slsdtgt0(xc)),slsdtgt0(xc))
| ~ spl22_3 ),
inference(resolution,[],[f239,f280]) ).
fof(f657,plain,
( aElementOf0(sK10(slsdtgt0(xc)),slsdtgt0(xc))
| aSet0(slsdtgt0(xc))
| ~ aIdeal0(slsdtgt0(xc))
| ~ aElement0(sK9(slsdtgt0(xc)))
| ~ aElementOf0(sK8(slsdtgt0(xc)),slsdtgt0(xc))
| ~ spl22_2 ),
inference(resolution,[],[f242,f276]) ).
fof(f658,plain,
( aElementOf0(sK10(slsdtgt0(xc)),slsdtgt0(xc))
| aSet0(slsdtgt0(xc))
| ~ aIdeal0(slsdtgt0(xc))
| ~ aElementOf0(sK8(slsdtgt0(xc)),slsdtgt0(xc))
| ~ spl22_2 ),
inference(forward_subsumption_resolution,[],[f657,f240]) ).
fof(f659,plain,
( aElementOf0(sK10(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aIdeal0(slsdtgt0(xc))
| ~ aElementOf0(sK8(slsdtgt0(xc)),slsdtgt0(xc))
| ~ spl22_2
| spl22_6 ),
inference(forward_subsumption_resolution,[],[f658,f356]) ).
fof(f660,plain,
( aElementOf0(sK10(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aElementOf0(sK8(slsdtgt0(xc)),slsdtgt0(xc))
| ~ spl22_2
| spl22_6 ),
inference(forward_subsumption_resolution,[],[f659,f270]) ).
fof(f661,plain,
( aElementOf0(sK10(slsdtgt0(xc)),slsdtgt0(xc))
| ~ spl22_2
| spl22_6
| ~ spl22_8 ),
inference(forward_subsumption_resolution,[],[f660,f400]) ).
fof(f662,plain,
( spl22_10
| ~ spl22_2
| spl22_6
| ~ spl22_8 ),
inference(avatar_split_clause,[],[f661,f398,f355,f275,f521]) ).
fof(f959,plain,
( ~ aElementOf0(sdtpldt0(sK8(slsdtgt0(xc)),sK10(slsdtgt0(xc))),slsdtgt0(xc))
| aSet0(slsdtgt0(xc))
| ~ aIdeal0(slsdtgt0(xc))
| ~ aElement0(sK9(slsdtgt0(xc)))
| ~ aElementOf0(sK8(slsdtgt0(xc)),slsdtgt0(xc))
| ~ spl22_2 ),
inference(resolution,[],[f241,f276]) ).
fof(f960,plain,
( ~ aElementOf0(sdtpldt0(sK8(slsdtgt0(xc)),sK10(slsdtgt0(xc))),slsdtgt0(xc))
| ~ aIdeal0(slsdtgt0(xc))
| ~ aElement0(sK9(slsdtgt0(xc)))
| ~ aElementOf0(sK8(slsdtgt0(xc)),slsdtgt0(xc))
| ~ spl22_2
| spl22_6 ),
inference(forward_subsumption_resolution,[],[f959,f356]) ).
fof(f961,plain,
( ~ aElementOf0(sdtpldt0(sK8(slsdtgt0(xc)),sK10(slsdtgt0(xc))),slsdtgt0(xc))
| ~ aElement0(sK9(slsdtgt0(xc)))
| ~ aElementOf0(sK8(slsdtgt0(xc)),slsdtgt0(xc))
| ~ spl22_2
| spl22_6 ),
inference(forward_subsumption_resolution,[],[f960,f270]) ).
fof(f962,plain,
( ~ aElementOf0(sdtpldt0(sK8(slsdtgt0(xc)),sK10(slsdtgt0(xc))),slsdtgt0(xc))
| ~ aElementOf0(sK8(slsdtgt0(xc)),slsdtgt0(xc))
| ~ spl22_2
| spl22_6
| ~ spl22_9 ),
inference(forward_subsumption_resolution,[],[f961,f519]) ).
fof(f963,plain,
( ~ aElementOf0(sdtpldt0(sK8(slsdtgt0(xc)),sK10(slsdtgt0(xc))),slsdtgt0(xc))
| ~ spl22_2
| spl22_6
| ~ spl22_8
| ~ spl22_9 ),
inference(forward_subsumption_resolution,[],[f962,f400]) ).
fof(f1617,plain,
( ~ aElementOf0(sK8(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aElementOf0(sK10(slsdtgt0(xc)),slsdtgt0(xc))
| ~ spl22_2
| ~ spl22_3
| spl22_6
| ~ spl22_8
| ~ spl22_9 ),
inference(resolution,[],[f963,f280]) ).
fof(f1618,plain,
( ~ aElementOf0(sK10(slsdtgt0(xc)),slsdtgt0(xc))
| ~ spl22_2
| ~ spl22_3
| spl22_6
| ~ spl22_8
| ~ spl22_9 ),
inference(forward_subsumption_resolution,[],[f1617,f400]) ).
fof(f1619,plain,
( $false
| ~ spl22_2
| ~ spl22_3
| spl22_6
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10 ),
inference(forward_subsumption_resolution,[],[f1618,f523]) ).
fof(f1620,plain,
( ~ spl22_2
| ~ spl22_3
| spl22_6
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10 ),
inference(avatar_contradiction_clause,[],[f1619]) ).
fof(f1621,plain,
( aElement0(sK9(slsdtgt0(xc)))
| ~ aIdeal0(slsdtgt0(xc))
| ~ aElementOf0(sK8(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aElementOf0(sK10(slsdtgt0(xc)),slsdtgt0(xc))
| ~ spl22_3
| spl22_6 ),
inference(forward_subsumption_resolution,[],[f624,f356]) ).
fof(f1625,plain,
( aElement0(sK9(slsdtgt0(xc)))
| ~ aElementOf0(sK8(slsdtgt0(xc)),slsdtgt0(xc))
| ~ aElementOf0(sK10(slsdtgt0(xc)),slsdtgt0(xc))
| ~ spl22_3
| spl22_6 ),
inference(forward_subsumption_resolution,[],[f1621,f270]) ).
fof(f1632,plain,
( aElement0(sK9(slsdtgt0(xc)))
| ~ aElementOf0(sK10(slsdtgt0(xc)),slsdtgt0(xc))
| ~ spl22_3
| spl22_6
| ~ spl22_8 ),
inference(forward_subsumption_resolution,[],[f1625,f400]) ).
fof(f1634,plain,
( aElement0(sK9(slsdtgt0(xc)))
| ~ spl22_3
| spl22_6
| ~ spl22_8
| ~ spl22_10 ),
inference(forward_subsumption_resolution,[],[f1632,f523]) ).
fof(f1635,plain,
( spl22_9
| ~ spl22_3
| spl22_6
| ~ spl22_8
| ~ spl22_10 ),
inference(avatar_split_clause,[],[f1634,f521,f398,f355,f279,f517]) ).
fof(f1644,plain,
( $false
| ~ spl22_4 ),
inference(backward_subsumption_resolution,[],[f189,f283]) ).
fof(f1667,plain,
~ spl22_4,
inference(avatar_contradiction_clause,[],[f1644]) ).
cnf(s1,plain,
( spl22_1
| spl22_2 ),
inference(sat_conversion,[],[f277]) ).
cnf(s2,plain,
( spl22_3
| spl22_4 ),
inference(sat_conversion,[],[f284]) ).
cnf(s5,plain,
( ~ spl22_1
| spl22_6 ),
inference(sat_conversion,[],[f395]) ).
cnf(s7,plain,
( spl22_6
| spl22_8 ),
inference(sat_conversion,[],[f401]) ).
cnf(s9,plain,
~ spl22_6,
inference(sat_conversion,[],[f417]) ).
cnf(s14,plain,
( ~ spl22_2
| spl22_6
| ~ spl22_8
| spl22_10 ),
inference(sat_conversion,[],[f662]) ).
cnf(s16,plain,
( ~ spl22_2
| ~ spl22_3
| spl22_6
| ~ spl22_8
| ~ spl22_9
| ~ spl22_10 ),
inference(sat_conversion,[],[f1620]) ).
cnf(s18,plain,
( ~ spl22_3
| spl22_6
| ~ spl22_8
| spl22_9
| ~ spl22_10 ),
inference(sat_conversion,[],[f1635]) ).
cnf(s21,plain,
~ spl22_4,
inference(sat_conversion,[],[f1667]) ).
cnf(s30,plain,
spl22_8,
inference(rat,[],[s7,s9]) ).
cnf(s32,plain,
~ spl22_1,
inference(rat,[],[s5,s9]) ).
cnf(s35,plain,
spl22_3,
inference(rat,[],[s2,s21]) ).
cnf(s37,plain,
spl22_2,
inference(rat,[],[s1,s32]) ).
cnf(s38,plain,
spl22_10,
inference(rat,[],[s14,s30,s9,s37]) ).
cnf(s41,plain,
spl22_9,
inference(rat,[],[s18,s35,s30,s9,s38]) ).
cnf(s42,plain,
$false,
inference(rat,[],[s16,s37,s35,s30,s9,s38,s41]) ).
fof(f1675,plain,
$false,
inference(avatar_sat_refutation,[],[s42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : RNG106+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.33 % Computer : n012.cluster.edu
% 0.04/0.33 % Model : x86_64 x86_64
% 0.04/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.33 % Memory : 8046.5625MB
% 0.04/0.33 % OS : Linux 6.8.0-71-generic
% 0.04/0.33 % CPULimit : 300
% 0.04/0.33 % WCLimit : 300
% 0.04/0.33 % DateTime : Sun Sep 27 23:17:20 UTC 2026
% 0.04/0.33 % CPUTime :
% 0.04/0.33 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.34 Running first-order model finding
% 0.04/0.34 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.40 % (2867531)Will run a generic schedule for satisfiability detection.
% 0.04/0.40 % (2867537)% WARNING: option uhcvi not known.
% 0.04/0.40 % (2867536)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=769645787_2999 on theBenchmark for (2999ds/0Mi)
% 0.04/0.40 % (2867537)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1281466526:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.04/0.40 % (2867538)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=980508719:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.04/0.40 % (2867539)dis+10_1_sil=32000:sp=arity:random_seed=73993116:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.04/0.40 % (2867540)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2589223627:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.04/0.40 % (2867541)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1453044566:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.04/0.40 % (2867542)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2171781630:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.04/0.40 % TRYING [1]
% 0.04/0.40 % TRYING [2]
% 0.04/0.40 % TRYING [3]
% 0.04/0.40 % TRYING [4]
% 0.04/0.40 % (2867537) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2867531-2867537"...
% 0.04/0.40 % (2867537)...printing done.
% 0.04/0.40 % (2867537)Refutation found. Thanks to Tanya!
% 0.04/0.40 % SZS status Theorem for theBenchmark
% 0.04/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.04/0.40 % (2867537)------------------------------
% 0.04/0.40 % (2867537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.04/0.40 % (2867537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.04/0.40 % (2867537)CaDiCaL version: 2.1.3
% 0.04/0.40 % (2867537)Termination reason: Refutation
% 0.04/0.40 % (2867537)Time elapsed: 0.025 s
% 0.04/0.40 % (2867537)Peak memory usage: 13 MB
% 0.04/0.40 % (2867537)Instructions burned: 75 (million)
% 0.04/0.40 % (2867531)Success in time 0.051 s
% 0.04/0.40 % Vampire exiting
%------------------------------------------------------------------------------