%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG092+2 : 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 : n010.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 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 66 ( 15 unt; 8 def)
% Number of atoms : 327 ( 40 equ)
% Maximal formula atoms : 39 ( 4 avg)
% Number of connectives : 353 ( 92 ~; 88 |; 142 &)
% ( 13 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 9 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 125 ( 0 sgn 57 !; 68 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f26,conjecture,
( ! [X0,X1,X2] :
( ( ( ? [X3,X4] :
( aElementOf0(X3,xI)
& aElementOf0(X4,xJ)
& sdtpldt0(X3,X4) = X0 )
| aElementOf0(X0,sdtpldt1(xI,xJ)) )
& ( ? [X3,X4] :
( aElementOf0(X3,xI)
& aElementOf0(X4,xJ)
& sdtpldt0(X3,X4) = X1 )
| aElementOf0(X1,sdtpldt1(xI,xJ)) )
& aElement0(X2) )
=> ? [X3,X4] :
( aElementOf0(X3,xI)
& aElementOf0(X4,xJ)
& X0 = sdtpldt0(X3,X4)
& ? [X5,X6] :
( aElementOf0(X5,xI)
& aElementOf0(X6,xJ)
& X1 = sdtpldt0(X5,X6)
& aElementOf0(sdtpldt0(X3,X5),xI)
& aElementOf0(sdtpldt0(X4,X6),xJ)
& aElementOf0(sdtasdt0(X2,X3),xI)
& aElementOf0(sdtasdt0(X2,X4),xJ)
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X3,X5),sdtpldt0(X4,X6))
& ? [X7,X8] :
( aElementOf0(X7,xI)
& aElementOf0(X8,xJ)
& sdtpldt0(X7,X8) = sdtpldt0(X0,X1) )
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& ? [X7,X8] :
( aElementOf0(X7,xI)
& aElementOf0(X8,xJ)
& sdtpldt0(X7,X8) = sdtasdt0(X2,X0) )
& aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ)) ) ) )
=> ( ( aSet0(sdtpldt1(xI,xJ))
& ! [X0] :
( aElementOf0(X0,sdtpldt1(xI,xJ))
<=> ? [X1,X2] :
( aElementOf0(X1,xI)
& aElementOf0(X2,xJ)
& sdtpldt0(X1,X2) = X0 ) ) )
=> ( ! [X0] :
( aElementOf0(X0,sdtpldt1(xI,xJ))
=> ( ! [X1] :
( aElementOf0(X1,sdtpldt1(xI,xJ))
=> aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ)) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),sdtpldt1(xI,xJ)) ) ) )
| aIdeal0(sdtpldt1(xI,xJ)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f27,negated_conjecture,
~ ( ! [X0,X1,X2] :
( ( ( ? [X3,X4] :
( aElementOf0(X3,xI)
& aElementOf0(X4,xJ)
& sdtpldt0(X3,X4) = X0 )
| aElementOf0(X0,sdtpldt1(xI,xJ)) )
& ( ? [X3,X4] :
( aElementOf0(X3,xI)
& aElementOf0(X4,xJ)
& sdtpldt0(X3,X4) = X1 )
| aElementOf0(X1,sdtpldt1(xI,xJ)) )
& aElement0(X2) )
=> ? [X3,X4] :
( aElementOf0(X3,xI)
& aElementOf0(X4,xJ)
& X0 = sdtpldt0(X3,X4)
& ? [X5,X6] :
( aElementOf0(X5,xI)
& aElementOf0(X6,xJ)
& X1 = sdtpldt0(X5,X6)
& aElementOf0(sdtpldt0(X3,X5),xI)
& aElementOf0(sdtpldt0(X4,X6),xJ)
& aElementOf0(sdtasdt0(X2,X3),xI)
& aElementOf0(sdtasdt0(X2,X4),xJ)
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X3,X5),sdtpldt0(X4,X6))
& ? [X7,X8] :
( aElementOf0(X7,xI)
& aElementOf0(X8,xJ)
& sdtpldt0(X7,X8) = sdtpldt0(X0,X1) )
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& ? [X7,X8] :
( aElementOf0(X7,xI)
& aElementOf0(X8,xJ)
& sdtpldt0(X7,X8) = sdtasdt0(X2,X0) )
& aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ)) ) ) )
=> ( ( aSet0(sdtpldt1(xI,xJ))
& ! [X0] :
( aElementOf0(X0,sdtpldt1(xI,xJ))
<=> ? [X1,X2] :
( aElementOf0(X1,xI)
& aElementOf0(X2,xJ)
& sdtpldt0(X1,X2) = X0 ) ) )
=> ( ! [X0] :
( aElementOf0(X0,sdtpldt1(xI,xJ))
=> ( ! [X1] :
( aElementOf0(X1,sdtpldt1(xI,xJ))
=> aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ)) )
& ! [X1] :
( aElement0(X1)
=> aElementOf0(sdtasdt0(X1,X0),sdtpldt1(xI,xJ)) ) ) )
| aIdeal0(sdtpldt1(xI,xJ)) ) ) ),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f31,plain,
~ ( ! [X0,X1,X2] :
( ( ( ? [X3,X4] :
( aElementOf0(X3,xI)
& aElementOf0(X4,xJ)
& sdtpldt0(X3,X4) = X0 )
| aElementOf0(X0,sdtpldt1(xI,xJ)) )
& ( ? [X5,X6] :
( aElementOf0(X5,xI)
& aElementOf0(X6,xJ)
& sdtpldt0(X5,X6) = X1 )
| aElementOf0(X1,sdtpldt1(xI,xJ)) )
& aElement0(X2) )
=> ? [X7,X8] :
( aElementOf0(X7,xI)
& aElementOf0(X8,xJ)
& sdtpldt0(X7,X8) = X0
& ? [X9,X10] :
( aElementOf0(X9,xI)
& aElementOf0(X10,xJ)
& sdtpldt0(X9,X10) = X1
& aElementOf0(sdtpldt0(X7,X9),xI)
& aElementOf0(sdtpldt0(X8,X10),xJ)
& aElementOf0(sdtasdt0(X2,X7),xI)
& aElementOf0(sdtasdt0(X2,X8),xJ)
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X7,X9),sdtpldt0(X8,X10))
& ? [X11,X12] :
( aElementOf0(X11,xI)
& aElementOf0(X12,xJ)
& sdtpldt0(X0,X1) = sdtpldt0(X11,X12) )
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& ? [X13,X14] :
( aElementOf0(X13,xI)
& aElementOf0(X14,xJ)
& sdtasdt0(X2,X0) = sdtpldt0(X13,X14) )
& aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ)) ) ) )
=> ( ( aSet0(sdtpldt1(xI,xJ))
& ! [X15] :
( aElementOf0(X15,sdtpldt1(xI,xJ))
<=> ? [X16,X17] :
( aElementOf0(X16,xI)
& aElementOf0(X17,xJ)
& sdtpldt0(X16,X17) = X15 ) ) )
=> ( ! [X18] :
( aElementOf0(X18,sdtpldt1(xI,xJ))
=> ( ! [X19] :
( aElementOf0(X19,sdtpldt1(xI,xJ))
=> aElementOf0(sdtpldt0(X18,X19),sdtpldt1(xI,xJ)) )
& ! [X20] :
( aElement0(X20)
=> aElementOf0(sdtasdt0(X20,X18),sdtpldt1(xI,xJ)) ) ) )
| aIdeal0(sdtpldt1(xI,xJ)) ) ) ),
inference(rectify,[],[f27]) ).
fof(f65,plain,
( ? [X18] :
( ( ? [X19] :
( ~ aElementOf0(sdtpldt0(X18,X19),sdtpldt1(xI,xJ))
& aElementOf0(X19,sdtpldt1(xI,xJ)) )
| ? [X20] :
( ~ aElementOf0(sdtasdt0(X20,X18),sdtpldt1(xI,xJ))
& aElement0(X20) ) )
& aElementOf0(X18,sdtpldt1(xI,xJ)) )
& ~ aIdeal0(sdtpldt1(xI,xJ))
& aSet0(sdtpldt1(xI,xJ))
& ! [X15] :
( aElementOf0(X15,sdtpldt1(xI,xJ))
<=> ? [X16,X17] :
( aElementOf0(X16,xI)
& aElementOf0(X17,xJ)
& sdtpldt0(X16,X17) = X15 ) )
& ! [X0,X1,X2] :
( ? [X7,X8] :
( aElementOf0(X7,xI)
& aElementOf0(X8,xJ)
& sdtpldt0(X7,X8) = X0
& ? [X9,X10] :
( aElementOf0(X9,xI)
& aElementOf0(X10,xJ)
& sdtpldt0(X9,X10) = X1
& aElementOf0(sdtpldt0(X7,X9),xI)
& aElementOf0(sdtpldt0(X8,X10),xJ)
& aElementOf0(sdtasdt0(X2,X7),xI)
& aElementOf0(sdtasdt0(X2,X8),xJ)
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X7,X9),sdtpldt0(X8,X10))
& ? [X11,X12] :
( aElementOf0(X11,xI)
& aElementOf0(X12,xJ)
& sdtpldt0(X0,X1) = sdtpldt0(X11,X12) )
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& ? [X13,X14] :
( aElementOf0(X13,xI)
& aElementOf0(X14,xJ)
& sdtasdt0(X2,X0) = sdtpldt0(X13,X14) )
& aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ)) ) )
| ( ! [X3,X4] :
( ~ aElementOf0(X3,xI)
| ~ aElementOf0(X4,xJ)
| sdtpldt0(X3,X4) != X0 )
& ~ aElementOf0(X0,sdtpldt1(xI,xJ)) )
| ( ! [X5,X6] :
( ~ aElementOf0(X5,xI)
| ~ aElementOf0(X6,xJ)
| sdtpldt0(X5,X6) != X1 )
& ~ aElementOf0(X1,sdtpldt1(xI,xJ)) )
| ~ aElement0(X2) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f66,plain,
( ? [X18] :
( ( ? [X19] :
( ~ aElementOf0(sdtpldt0(X18,X19),sdtpldt1(xI,xJ))
& aElementOf0(X19,sdtpldt1(xI,xJ)) )
| ? [X20] :
( ~ aElementOf0(sdtasdt0(X20,X18),sdtpldt1(xI,xJ))
& aElement0(X20) ) )
& aElementOf0(X18,sdtpldt1(xI,xJ)) )
& ~ aIdeal0(sdtpldt1(xI,xJ))
& aSet0(sdtpldt1(xI,xJ))
& ! [X15] :
( aElementOf0(X15,sdtpldt1(xI,xJ))
<=> ? [X16,X17] :
( aElementOf0(X16,xI)
& aElementOf0(X17,xJ)
& sdtpldt0(X16,X17) = X15 ) )
& ! [X0,X1,X2] :
( ? [X7,X8] :
( aElementOf0(X7,xI)
& aElementOf0(X8,xJ)
& sdtpldt0(X7,X8) = X0
& ? [X9,X10] :
( aElementOf0(X9,xI)
& aElementOf0(X10,xJ)
& sdtpldt0(X9,X10) = X1
& aElementOf0(sdtpldt0(X7,X9),xI)
& aElementOf0(sdtpldt0(X8,X10),xJ)
& aElementOf0(sdtasdt0(X2,X7),xI)
& aElementOf0(sdtasdt0(X2,X8),xJ)
& sdtpldt0(X0,X1) = sdtpldt0(sdtpldt0(X7,X9),sdtpldt0(X8,X10))
& ? [X11,X12] :
( aElementOf0(X11,xI)
& aElementOf0(X12,xJ)
& sdtpldt0(X0,X1) = sdtpldt0(X11,X12) )
& aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ))
& ? [X13,X14] :
( aElementOf0(X13,xI)
& aElementOf0(X14,xJ)
& sdtasdt0(X2,X0) = sdtpldt0(X13,X14) )
& aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ)) ) )
| ( ! [X3,X4] :
( ~ aElementOf0(X3,xI)
| ~ aElementOf0(X4,xJ)
| sdtpldt0(X3,X4) != X0 )
& ~ aElementOf0(X0,sdtpldt1(xI,xJ)) )
| ( ! [X5,X6] :
( ~ aElementOf0(X5,xI)
| ~ aElementOf0(X6,xJ)
| sdtpldt0(X5,X6) != X1 )
& ~ aElementOf0(X1,sdtpldt1(xI,xJ)) )
| ~ aElement0(X2) ) ),
inference(flattening,[],[f65]) ).
fof(f67,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f66]) ).
fof(f152,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f66]) ).
fof(f191,plain,
( ~ aElementOf0(sdtasdt0(sK16,sK11),sdtpldt1(xI,xJ))
| aElementOf0(sK17,sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f66]) ).
fof(f192,plain,
( ~ aElementOf0(sdtasdt0(sK16,sK11),sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtpldt0(sK11,sK17),sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f66]) ).
fof(f193,plain,
( aElement0(sK16)
| aElementOf0(sK17,sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f66]) ).
fof(f194,plain,
( aElement0(sK16)
| ~ aElementOf0(sdtpldt0(sK11,sK17),sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f66]) ).
fof(f211,plain,
aElementOf0(sK11,sdtpldt1(xI,xJ)),
inference(cnf_transformation,[],[f66]) ).
fof(f335,definition,
( spl24_2
<=> ! [X2] : ~ aElement0(X2) ),
introduced(definition,[new_symbols(definition,[spl24_2])],[avatar_definition]) ).
fof(f336,plain,
( ! [X2] : ~ aElement0(X2)
| ~ spl24_2 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f383,definition,
( spl24_14
<=> ! [X1] : ~ aElementOf0(X1,sdtpldt1(xI,xJ)) ),
introduced(definition,[new_symbols(definition,[spl24_14])],[avatar_definition]) ).
fof(f384,plain,
( ! [X1] : ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ spl24_14 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f422,definition,
( spl24_23
<=> ! [X2,X0] :
( ~ aElement0(X2)
| aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ))
| ~ aElementOf0(X0,sdtpldt1(xI,xJ)) ) ),
introduced(definition,[new_symbols(definition,[spl24_23])],[avatar_definition]) ).
fof(f423,plain,
( ! [X2,X0] :
( ~ aElement0(X2)
| aElementOf0(sdtasdt0(X2,X0),sdtpldt1(xI,xJ))
| ~ aElementOf0(X0,sdtpldt1(xI,xJ)) )
| ~ spl24_23 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f424,plain,
( spl24_14
| spl24_23 ),
inference(avatar_split_clause,[],[f151,f422,f383]) ).
fof(f426,definition,
( spl24_24
<=> ! [X0,X1] :
( ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ)) ) ),
introduced(definition,[new_symbols(definition,[spl24_24])],[avatar_definition]) ).
fof(f427,plain,
( ! [X0,X1] :
( ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| ~ aElementOf0(X1,sdtpldt1(xI,xJ))
| aElementOf0(sdtpldt0(X0,X1),sdtpldt1(xI,xJ)) )
| ~ spl24_24 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f428,plain,
( spl24_24
| spl24_2 ),
inference(avatar_split_clause,[],[f152,f335,f426]) ).
fof(f448,definition,
( spl24_29
<=> aElementOf0(sK17,sdtpldt1(xI,xJ)) ),
introduced(definition,[new_symbols(definition,[spl24_29])],[avatar_definition]) ).
fof(f450,plain,
( aElementOf0(sK17,sdtpldt1(xI,xJ))
| ~ spl24_29 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f452,definition,
( spl24_30
<=> aElementOf0(sdtasdt0(sK16,sK11),sdtpldt1(xI,xJ)) ),
introduced(definition,[new_symbols(definition,[spl24_30])],[avatar_definition]) ).
fof(f454,plain,
( ~ aElementOf0(sdtasdt0(sK16,sK11),sdtpldt1(xI,xJ))
| spl24_30 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f455,plain,
( spl24_29
| ~ spl24_30 ),
inference(avatar_split_clause,[],[f191,f452,f448]) ).
fof(f457,definition,
( spl24_31
<=> aElementOf0(sdtpldt0(sK11,sK17),sdtpldt1(xI,xJ)) ),
introduced(definition,[new_symbols(definition,[spl24_31])],[avatar_definition]) ).
fof(f459,plain,
( ~ aElementOf0(sdtpldt0(sK11,sK17),sdtpldt1(xI,xJ))
| spl24_31 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f460,plain,
( ~ spl24_31
| ~ spl24_30 ),
inference(avatar_split_clause,[],[f192,f452,f457]) ).
fof(f462,definition,
( spl24_32
<=> aElement0(sK16) ),
introduced(definition,[new_symbols(definition,[spl24_32])],[avatar_definition]) ).
fof(f464,plain,
( aElement0(sK16)
| ~ spl24_32 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f465,plain,
( spl24_29
| spl24_32 ),
inference(avatar_split_clause,[],[f193,f462,f448]) ).
fof(f466,plain,
( ~ spl24_31
| spl24_32 ),
inference(avatar_split_clause,[],[f194,f462,f457]) ).
fof(f467,plain,
( $false
| ~ spl24_14 ),
inference(backward_subsumption_resolution,[],[f211,f384]) ).
fof(f468,plain,
~ spl24_14,
inference(avatar_contradiction_clause,[],[f467]) ).
fof(f491,plain,
( $false
| ~ spl24_2 ),
inference(forward_subsumption_resolution,[],[f67,f336]) ).
fof(f492,plain,
~ spl24_2,
inference(avatar_contradiction_clause,[],[f491]) ).
fof(f498,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| aElementOf0(sdtpldt0(sK11,X0),sdtpldt1(xI,xJ)) )
| ~ spl24_24 ),
inference(resolution,[],[f427,f211]) ).
fof(f507,plain,
( aElementOf0(sdtpldt0(sK11,sK17),sdtpldt1(xI,xJ))
| ~ spl24_24
| ~ spl24_29 ),
inference(resolution,[],[f498,f450]) ).
fof(f509,plain,
( $false
| ~ spl24_24
| ~ spl24_29
| spl24_31 ),
inference(forward_subsumption_resolution,[],[f507,f459]) ).
fof(f510,plain,
( ~ spl24_24
| ~ spl24_29
| spl24_31 ),
inference(avatar_contradiction_clause,[],[f509]) ).
fof(f514,plain,
( ! [X0] :
( ~ aElementOf0(X0,sdtpldt1(xI,xJ))
| aElementOf0(sdtasdt0(sK16,X0),sdtpldt1(xI,xJ)) )
| ~ spl24_23
| ~ spl24_32 ),
inference(resolution,[],[f464,f423]) ).
fof(f586,plain,
( aElementOf0(sdtasdt0(sK16,sK11),sdtpldt1(xI,xJ))
| ~ spl24_23
| ~ spl24_32 ),
inference(resolution,[],[f514,f211]) ).
fof(f591,plain,
( $false
| ~ spl24_23
| spl24_30
| ~ spl24_32 ),
inference(forward_subsumption_resolution,[],[f586,f454]) ).
fof(f592,plain,
( ~ spl24_23
| spl24_30
| ~ spl24_32 ),
inference(avatar_contradiction_clause,[],[f591]) ).
cnf(s25,plain,
( spl24_14
| spl24_23 ),
inference(sat_conversion,[],[f424]) ).
cnf(s26,plain,
( spl24_2
| spl24_24 ),
inference(sat_conversion,[],[f428]) ).
cnf(s33,plain,
( spl24_29
| ~ spl24_30 ),
inference(sat_conversion,[],[f455]) ).
cnf(s34,plain,
( ~ spl24_30
| ~ spl24_31 ),
inference(sat_conversion,[],[f460]) ).
cnf(s35,plain,
( spl24_29
| spl24_32 ),
inference(sat_conversion,[],[f465]) ).
cnf(s36,plain,
( ~ spl24_31
| spl24_32 ),
inference(sat_conversion,[],[f466]) ).
cnf(s37,plain,
~ spl24_14,
inference(sat_conversion,[],[f468]) ).
cnf(s40,plain,
~ spl24_2,
inference(sat_conversion,[],[f492]) ).
cnf(s43,plain,
( ~ spl24_24
| ~ spl24_29
| spl24_31 ),
inference(sat_conversion,[],[f510]) ).
cnf(s46,plain,
( ~ spl24_23
| spl24_30
| ~ spl24_32 ),
inference(sat_conversion,[],[f592]) ).
cnf(s53,plain,
spl24_24,
inference(rat,[],[s26,s40]) ).
cnf(s54,plain,
spl24_23,
inference(rat,[],[s25,s37]) ).
cnf(s75,plain,
spl24_29,
inference(rat,[],[s46,s33,s35,s54]) ).
cnf(s76,plain,
spl24_31,
inference(rat,[],[s43,s53,s75]) ).
cnf(s77,plain,
spl24_32,
inference(rat,[],[s36,s76]) ).
cnf(s78,plain,
~ spl24_30,
inference(rat,[],[s34,s76]) ).
cnf(s79,plain,
$false,
inference(rat,[],[s46,s54,s77,s78]) ).
fof(f593,plain,
$false,
inference(avatar_sat_refutation,[],[s79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG092+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 23:14:02 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 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
% 0.15/0.47 % (1413804)Will run a generic schedule for satisfiability detection.
% 0.15/0.47 % (1413812)dis+10_1_sil=32000:sp=arity:random_seed=3038690678:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.47 % (1413810)% WARNING: option uhcvi not known.
% 0.15/0.47 % (1413809)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=608577913_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.47 % (1413810)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=38819296:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.47 % (1413811)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3998351140:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.47 % (1413813)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1634567446:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.47 % (1413815)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1241985848:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.47 % (1413814)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2242507020:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.47 % TRYING [1]
% 0.15/0.47 % TRYING [2]
% 0.15/0.47 % (1413810) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1413804-1413810"...
% 0.15/0.47 % TRYING [3]
% 0.15/0.47 % (1413810)...printing done.
% 0.15/0.47 % (1413810)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Theorem for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (1413810)------------------------------
% 0.15/0.47 % (1413810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.47 % (1413810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.47 % (1413810)CaDiCaL version: 2.1.3
% 0.15/0.47 % (1413810)Termination reason: Refutation
% 0.15/0.47 % (1413810)Time elapsed: 0.015 s
% 0.15/0.47 % (1413810)Peak memory usage: 13 MB
% 0.15/0.47 % (1413810)Instructions burned: 22 (million)
% 0.15/0.47 % (1413804)Success in time 0.057 s
% 0.15/0.47 % Vampire exiting
%------------------------------------------------------------------------------