%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG114+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:35:34 PM UTC 2026
% Result : Theorem 7.55s 2.06s
% Output : Refutation 9.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of formulae : 116 ( 20 unt; 11 def)
% Number of atoms : 444 ( 97 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 549 ( 221 ~; 218 |; 88 &)
% ( 19 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 7 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 5 con; 0-3 aty)
% Number of variables : 188 ( 0 sgn 150 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aSet0(X1) )
=> ! [X2] :
( X2 = sdtpldt1(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( aElementOf0(X4,X0)
& aElementOf0(X5,X1)
& sdtpldt0(X4,X5) = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSSum) ).
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(f39,axiom,
( aElement0(xa)
& aElement0(xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2091) ).
fof(f42,axiom,
( aIdeal0(xI)
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2174) ).
fof(f45,axiom,
( aElementOf0(xu,xI)
& xu != sz00
& ! [X0] :
( ( aElementOf0(X0,xI)
& X0 != sz00 )
=> ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2273) ).
fof(f47,conjecture,
? [X0,X1] :
( aElement0(X0)
& aElement0(X1)
& xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f48,negated_conjecture,
~ ? [X0,X1] :
( aElement0(X0)
& aElement0(X1)
& xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1)) ),
inference(negated_conjecture,[status(cth)],[f47]) ).
fof(f82,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtpldt1(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( aElementOf0(X4,X0)
& aElementOf0(X5,X1)
& sdtpldt0(X4,X5) = X3 ) ) ) )
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f83,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtpldt1(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( aElementOf0(X4,X0)
& aElementOf0(X5,X1)
& sdtpldt0(X4,X5) = X3 ) ) ) )
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(flattening,[],[f82]) ).
fof(f104,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(f106,plain,
( aElementOf0(xu,xI)
& xu != sz00
& ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| ~ aElementOf0(X0,xI)
| sz00 = X0 ) ),
inference(ennf_transformation,[],[f45]) ).
fof(f107,plain,
( aElementOf0(xu,xI)
& xu != sz00
& ! [X0] :
( ~ iLess0(sbrdtbr0(X0),sbrdtbr0(xu))
| ~ aElementOf0(X0,xI)
| sz00 = X0 ) ),
inference(flattening,[],[f106]) ).
fof(f109,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| xu != sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1)) ),
inference(ennf_transformation,[],[f48]) ).
fof(f110,definition,
! [X2,X0,X1] :
( sP0(X2,X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( aElementOf0(X4,X0)
& aElementOf0(X5,X1)
& sdtpldt0(X4,X5) = X3 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f111,definition,
! [X1,X0] :
( ! [X2] :
( X2 = sdtpldt1(X0,X1)
<=> sP0(X2,X0,X1) )
| ~ sP1(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f112,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(definition_folding,[],[f83,f111,f110]) ).
fof(f114,plain,
! [X1,X0] :
( ! [X2] :
( ( X2 = sdtpldt1(X0,X1)
| ~ sP0(X2,X0,X1) )
& ( sP0(X2,X0,X1)
| sdtpldt1(X0,X1) != X2 ) )
| ~ sP1(X1,X0) ),
inference(nnf_transformation,[],[f111]) ).
fof(f115,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtpldt1(X1,X0) = X2
| ~ sP0(X2,X1,X0) )
& ( sP0(X2,X1,X0)
| sdtpldt1(X1,X0) != X2 ) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f114]) ).
fof(f116,plain,
! [X2,X0,X1] :
( ( sP0(X2,X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ! [X4,X5] :
( ~ aElementOf0(X4,X0)
| ~ aElementOf0(X5,X1)
| sdtpldt0(X4,X5) != X3 )
| ~ aElementOf0(X3,X2) )
& ( ? [X4,X5] :
( aElementOf0(X4,X0)
& aElementOf0(X5,X1)
& sdtpldt0(X4,X5) = X3 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4,X5] :
( ~ aElementOf0(X4,X0)
| ~ aElementOf0(X5,X1)
| sdtpldt0(X4,X5) != X3 ) )
& ( ? [X4,X5] :
( aElementOf0(X4,X0)
& aElementOf0(X5,X1)
& sdtpldt0(X4,X5) = X3 )
| ~ aElementOf0(X3,X2) ) ) )
| ~ sP0(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f110]) ).
fof(f117,plain,
! [X2,X0,X1] :
( ( sP0(X2,X0,X1)
| ~ aSet0(X2)
| ? [X3] :
( ( ! [X4,X5] :
( ~ aElementOf0(X4,X0)
| ~ aElementOf0(X5,X1)
| sdtpldt0(X4,X5) != X3 )
| ~ aElementOf0(X3,X2) )
& ( ? [X4,X5] :
( aElementOf0(X4,X0)
& aElementOf0(X5,X1)
& sdtpldt0(X4,X5) = X3 )
| aElementOf0(X3,X2) ) ) )
& ( ( aSet0(X2)
& ! [X3] :
( ( aElementOf0(X3,X2)
| ! [X4,X5] :
( ~ aElementOf0(X4,X0)
| ~ aElementOf0(X5,X1)
| sdtpldt0(X4,X5) != X3 ) )
& ( ? [X4,X5] :
( aElementOf0(X4,X0)
& aElementOf0(X5,X1)
& sdtpldt0(X4,X5) = X3 )
| ~ aElementOf0(X3,X2) ) ) )
| ~ sP0(X2,X0,X1) ) ),
inference(flattening,[],[f116]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ? [X3] :
( ( ! [X4,X5] :
( ~ aElementOf0(X4,X1)
| ~ aElementOf0(X5,X2)
| sdtpldt0(X4,X5) != X3 )
| ~ aElementOf0(X3,X0) )
& ( ? [X6,X7] :
( aElementOf0(X6,X1)
& aElementOf0(X7,X2)
& sdtpldt0(X6,X7) = X3 )
| aElementOf0(X3,X0) ) ) )
& ( ( aSet0(X0)
& ! [X8] :
( ( aElementOf0(X8,X0)
| ! [X9,X10] :
( ~ aElementOf0(X9,X1)
| ~ aElementOf0(X10,X2)
| sdtpldt0(X9,X10) != X8 ) )
& ( ? [X11,X12] :
( aElementOf0(X11,X1)
& aElementOf0(X12,X2)
& sdtpldt0(X11,X12) = X8 )
| ~ aElementOf0(X8,X0) ) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f117]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ~ aSet0(X0)
| ( ( ! [X4,X5] :
( ~ aElementOf0(X4,X1)
| ~ aElementOf0(X5,X2)
| sdtpldt0(X4,X5) != sK4(X0,X1,X2) )
| ~ aElementOf0(sK4(X0,X1,X2),X0) )
& ( ( aElementOf0(sK5(X0,X1,X2),X1)
& aElementOf0(sK6(X0,X1,X2),X2)
& sK4(X0,X1,X2) = sdtpldt0(sK5(X0,X1,X2),sK6(X0,X1,X2)) )
| aElementOf0(sK4(X0,X1,X2),X0) ) ) )
& ( ( aSet0(X0)
& ! [X8] :
( ( aElementOf0(X8,X0)
| ! [X9,X10] :
( ~ aElementOf0(X9,X1)
| ~ aElementOf0(X10,X2)
| sdtpldt0(X9,X10) != X8 ) )
& ( ( aElementOf0(sK7(X1,X2,X8),X1)
& aElementOf0(sK8(X1,X2,X8),X2)
& sdtpldt0(sK7(X1,X2,X8),sK8(X1,X2,X8)) = X8 )
| ~ aElementOf0(X8,X0) ) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8]),skolemize(X3,sK4(X0,X1,X2)),skolemize(X6,sK5(X0,X1,X2)),skolemize(X7,sK6(X0,X1,X2)),skolemize(X11,sK7(X1,X2,X8)),skolemize(X12,sK8(X1,X2,X8))],[f118]) ).
fof(f142,plain,
! [X0] :
( ! [X1] :
( ( X1 = slsdtgt0(X0)
| ~ aSet0(X1)
| ? [X2] :
( ( ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 )
| ~ aElementOf0(X2,X1) )
& ( ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ( aElementOf0(X2,X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 ) )
& ( ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 )
| ~ aElementOf0(X2,X1) ) ) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f104]) ).
fof(f143,plain,
! [X0] :
( ! [X1] :
( ( X1 = slsdtgt0(X0)
| ~ aSet0(X1)
| ? [X2] :
( ( ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 )
| ~ aElementOf0(X2,X1) )
& ( ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ( aElementOf0(X2,X1)
| ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 ) )
& ( ? [X3] :
( aElement0(X3)
& sdtasdt0(X0,X3) = X2 )
| ~ aElementOf0(X2,X1) ) ) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
! [X0] :
( ! [X1] :
( ( X1 = slsdtgt0(X0)
| ~ aSet0(X1)
| ? [X2] :
( ( ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != X2 )
| ~ aElementOf0(X2,X1) )
& ( ? [X4] :
( aElement0(X4)
& sdtasdt0(X0,X4) = X2 )
| aElementOf0(X2,X1) ) ) )
& ( ( aSet0(X1)
& ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( ~ aElement0(X6)
| sdtasdt0(X0,X6) != X5 ) )
& ( ? [X7] :
( aElement0(X7)
& sdtasdt0(X0,X7) = X5 )
| ~ aElementOf0(X5,X1) ) ) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(rectify,[],[f143]) ).
fof(f145,plain,
! [X0] :
( ! [X1] :
( ( X1 = slsdtgt0(X0)
| ~ aSet0(X1)
| ( ( ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(X0,X3) != sK19(X0,X1) )
| ~ aElementOf0(sK19(X0,X1),X1) )
& ( ( aElement0(sK20(X0,X1))
& sK19(X0,X1) = sdtasdt0(X0,sK20(X0,X1)) )
| aElementOf0(sK19(X0,X1),X1) ) ) )
& ( ( aSet0(X1)
& ! [X5] :
( ( aElementOf0(X5,X1)
| ! [X6] :
( ~ aElement0(X6)
| sdtasdt0(X0,X6) != X5 ) )
& ( ( aElement0(sK21(X0,X5))
& sdtasdt0(X0,sK21(X0,X5)) = X5 )
| ~ aElementOf0(X5,X1) ) ) )
| slsdtgt0(X0) != X1 ) )
| ~ aElement0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19,sK20,sK21]),skolemize(X2,sK19(X0,X1)),skolemize(X4,sK20(X0,X1)),skolemize(X7,sK21(X0,X5))],[f144]) ).
fof(f175,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| sdtpldt1(X1,X0) != X2
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f177,plain,
! [X2,X0,X1,X8] :
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X8,X0)
| sdtpldt0(sK7(X1,X2,X8),sK8(X1,X2,X8)) = X8 ),
inference(cnf_transformation,[],[f119]) ).
fof(f178,plain,
! [X2,X0,X1,X8] :
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X8,X0)
| aElementOf0(sK8(X1,X2,X8),X2) ),
inference(cnf_transformation,[],[f119]) ).
fof(f179,plain,
! [X2,X0,X1,X8] :
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X8,X0)
| aElementOf0(sK7(X1,X2,X8),X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f186,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f230,plain,
! [X0,X1,X5] :
( sdtasdt0(X0,sK21(X0,X5)) = X5
| ~ aElementOf0(X5,X1)
| slsdtgt0(X0) != X1
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f231,plain,
! [X0,X1,X5] :
( aElement0(sK21(X0,X5))
| ~ aElementOf0(X5,X1)
| slsdtgt0(X0) != X1
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f233,plain,
! [X0,X1] :
( aSet0(X1)
| slsdtgt0(X0) != X1
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f238,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
fof(f239,plain,
aElement0(xa),
inference(cnf_transformation,[],[f39]) ).
fof(f242,plain,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(cnf_transformation,[],[f42]) ).
fof(f252,plain,
aElementOf0(xu,xI),
inference(cnf_transformation,[],[f107]) ).
fof(f254,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| xu != sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1)) ),
inference(cnf_transformation,[],[f109]) ).
fof(f255,plain,
! [X0,X1] :
( sP0(sdtpldt1(X1,X0),X1,X0)
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f175]) ).
fof(f262,plain,
! [X0] :
( aSet0(slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f233]) ).
fof(f265,plain,
! [X0,X5] :
( ~ aElementOf0(X5,slsdtgt0(X0))
| aElement0(sK21(X0,X5))
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f231]) ).
fof(f266,plain,
! [X0,X5] :
( ~ aElementOf0(X5,slsdtgt0(X0))
| sdtasdt0(X0,sK21(X0,X5)) = X5
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f230]) ).
fof(f267,definition,
! [X0] : sF23(X0) = sdtasdt0(xa,X0),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f268,plain,
! [X0] : sdtasdt0(xa,X0) = sF23(X0),
inference(reorient_equations,[],[f267]) ).
fof(f269,definition,
! [X1] : sF24(X1) = sdtasdt0(xb,X1),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f270,plain,
! [X1] : sdtasdt0(xb,X1) = sF24(X1),
inference(reorient_equations,[],[f269]) ).
fof(f271,definition,
! [X0,X1] : sF25(X0,X1) = sdtpldt0(sF23(X0),sF24(X1)),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f272,plain,
! [X0,X1] : sdtpldt0(sF23(X0),sF24(X1)) = sF25(X0,X1),
inference(reorient_equations,[],[f271]) ).
fof(f273,plain,
! [X0,X1] :
( xu != sF25(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(definition_folding,[],[f254,f272,f270,f268]) ).
fof(f309,plain,
( sP0(xI,slsdtgt0(xa),slsdtgt0(xb))
| ~ sP1(slsdtgt0(xb),slsdtgt0(xa)) ),
inference(superposition,[],[f255,f242]) ).
fof(f311,definition,
( spl26_7
<=> sP1(slsdtgt0(xb),slsdtgt0(xa)) ),
introduced(definition,[new_symbols(definition,[spl26_7])],[avatar_definition]) ).
fof(f313,plain,
( ~ sP1(slsdtgt0(xb),slsdtgt0(xa))
| spl26_7 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f315,definition,
( spl26_8
<=> sP0(xI,slsdtgt0(xa),slsdtgt0(xb)) ),
introduced(definition,[new_symbols(definition,[spl26_8])],[avatar_definition]) ).
fof(f317,plain,
( sP0(xI,slsdtgt0(xa),slsdtgt0(xb))
| ~ spl26_8 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f318,plain,
( ~ spl26_7
| spl26_8 ),
inference(avatar_split_clause,[],[f309,f315,f311]) ).
fof(f319,plain,
( ~ aSet0(slsdtgt0(xa))
| ~ aSet0(slsdtgt0(xb))
| spl26_7 ),
inference(resolution,[],[f313,f186]) ).
fof(f321,definition,
( spl26_9
<=> aSet0(slsdtgt0(xb)) ),
introduced(definition,[new_symbols(definition,[spl26_9])],[avatar_definition]) ).
fof(f323,plain,
( ~ aSet0(slsdtgt0(xb))
| spl26_9 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f325,definition,
( spl26_10
<=> aSet0(slsdtgt0(xa)) ),
introduced(definition,[new_symbols(definition,[spl26_10])],[avatar_definition]) ).
fof(f327,plain,
( ~ aSet0(slsdtgt0(xa))
| spl26_10 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f328,plain,
( ~ spl26_9
| ~ spl26_10
| spl26_7 ),
inference(avatar_split_clause,[],[f319,f311,f325,f321]) ).
fof(f340,plain,
( ~ aElement0(xb)
| spl26_9 ),
inference(resolution,[],[f262,f323]) ).
fof(f341,plain,
( $false
| spl26_9 ),
inference(forward_subsumption_resolution,[],[f340,f238]) ).
fof(f342,plain,
spl26_9,
inference(avatar_contradiction_clause,[],[f341]) ).
fof(f343,plain,
( ~ aElement0(xa)
| spl26_10 ),
inference(resolution,[],[f327,f262]) ).
fof(f344,plain,
( $false
| spl26_10 ),
inference(forward_subsumption_resolution,[],[f343,f239]) ).
fof(f345,plain,
spl26_10,
inference(avatar_contradiction_clause,[],[f344]) ).
fof(f346,plain,
( ! [X0] :
( ~ aElementOf0(X0,xI)
| sdtpldt0(sK7(slsdtgt0(xa),slsdtgt0(xb),X0),sK8(slsdtgt0(xa),slsdtgt0(xb),X0)) = X0 )
| ~ spl26_8 ),
inference(resolution,[],[f317,f177]) ).
fof(f394,plain,
( ! [X0] :
( aElementOf0(sK8(slsdtgt0(xa),slsdtgt0(xb),X0),slsdtgt0(xb))
| ~ aElementOf0(X0,xI) )
| ~ spl26_8 ),
inference(resolution,[],[f178,f317]) ).
fof(f395,plain,
( ! [X0] :
( ~ aElementOf0(X0,xI)
| aElement0(sK21(xb,sK8(slsdtgt0(xa),slsdtgt0(xb),X0)))
| ~ aElement0(xb) )
| ~ spl26_8 ),
inference(resolution,[],[f394,f265]) ).
fof(f396,plain,
( ! [X0] :
( ~ aElementOf0(X0,xI)
| sK8(slsdtgt0(xa),slsdtgt0(xb),X0) = sdtasdt0(xb,sK21(xb,sK8(slsdtgt0(xa),slsdtgt0(xb),X0)))
| ~ aElement0(xb) )
| ~ spl26_8 ),
inference(resolution,[],[f394,f266]) ).
fof(f399,plain,
( ! [X0] :
( ~ aElementOf0(X0,xI)
| sK8(slsdtgt0(xa),slsdtgt0(xb),X0) = sdtasdt0(xb,sK21(xb,sK8(slsdtgt0(xa),slsdtgt0(xb),X0))) )
| ~ spl26_8 ),
inference(forward_subsumption_resolution,[],[f396,f238]) ).
fof(f400,plain,
( ! [X0] :
( aElement0(sK21(xb,sK8(slsdtgt0(xa),slsdtgt0(xb),X0)))
| ~ aElementOf0(X0,xI) )
| ~ spl26_8 ),
inference(forward_subsumption_resolution,[],[f395,f238]) ).
fof(f401,plain,
( ! [X0] :
( ~ aElementOf0(X0,xI)
| sK8(slsdtgt0(xa),slsdtgt0(xb),X0) = sF24(sK21(xb,sK8(slsdtgt0(xa),slsdtgt0(xb),X0))) )
| ~ spl26_8 ),
inference(forward_demodulation,[],[f399,f270]) ).
fof(f403,plain,
( sK8(slsdtgt0(xa),slsdtgt0(xb),xu) = sF24(sK21(xb,sK8(slsdtgt0(xa),slsdtgt0(xb),xu)))
| ~ spl26_8 ),
inference(resolution,[],[f401,f252]) ).
fof(f407,plain,
( ! [X0] : sF25(X0,sK21(xb,sK8(slsdtgt0(xa),slsdtgt0(xb),xu))) = sdtpldt0(sF23(X0),sK8(slsdtgt0(xa),slsdtgt0(xb),xu))
| ~ spl26_8 ),
inference(superposition,[],[f272,f403]) ).
fof(f426,plain,
( ! [X0] :
( aElementOf0(sK7(slsdtgt0(xa),slsdtgt0(xb),X0),slsdtgt0(xa))
| ~ aElementOf0(X0,xI) )
| ~ spl26_8 ),
inference(resolution,[],[f179,f317]) ).
fof(f427,plain,
( ! [X0] :
( ~ aElementOf0(X0,xI)
| aElement0(sK21(xa,sK7(slsdtgt0(xa),slsdtgt0(xb),X0)))
| ~ aElement0(xa) )
| ~ spl26_8 ),
inference(resolution,[],[f426,f265]) ).
fof(f428,plain,
( ! [X0] :
( ~ aElementOf0(X0,xI)
| sK7(slsdtgt0(xa),slsdtgt0(xb),X0) = sdtasdt0(xa,sK21(xa,sK7(slsdtgt0(xa),slsdtgt0(xb),X0)))
| ~ aElement0(xa) )
| ~ spl26_8 ),
inference(resolution,[],[f426,f266]) ).
fof(f431,plain,
( ! [X0] :
( ~ aElementOf0(X0,xI)
| sK7(slsdtgt0(xa),slsdtgt0(xb),X0) = sdtasdt0(xa,sK21(xa,sK7(slsdtgt0(xa),slsdtgt0(xb),X0))) )
| ~ spl26_8 ),
inference(forward_subsumption_resolution,[],[f428,f239]) ).
fof(f432,plain,
( ! [X0] :
( aElement0(sK21(xa,sK7(slsdtgt0(xa),slsdtgt0(xb),X0)))
| ~ aElementOf0(X0,xI) )
| ~ spl26_8 ),
inference(forward_subsumption_resolution,[],[f427,f239]) ).
fof(f433,plain,
( ! [X0] :
( ~ aElementOf0(X0,xI)
| sK7(slsdtgt0(xa),slsdtgt0(xb),X0) = sF23(sK21(xa,sK7(slsdtgt0(xa),slsdtgt0(xb),X0))) )
| ~ spl26_8 ),
inference(forward_demodulation,[],[f431,f268]) ).
fof(f435,plain,
( sK7(slsdtgt0(xa),slsdtgt0(xb),xu) = sF23(sK21(xa,sK7(slsdtgt0(xa),slsdtgt0(xb),xu)))
| ~ spl26_8 ),
inference(resolution,[],[f433,f252]) ).
fof(f452,definition,
( spl26_15
<=> aElement0(sK21(xa,sK7(slsdtgt0(xa),slsdtgt0(xb),xu))) ),
introduced(definition,[new_symbols(definition,[spl26_15])],[avatar_definition]) ).
fof(f453,plain,
( aElement0(sK21(xa,sK7(slsdtgt0(xa),slsdtgt0(xb),xu)))
| ~ spl26_15 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f454,plain,
( ~ aElement0(sK21(xa,sK7(slsdtgt0(xa),slsdtgt0(xb),xu)))
| spl26_15 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f461,plain,
( ~ aElementOf0(xu,xI)
| ~ spl26_8
| spl26_15 ),
inference(resolution,[],[f432,f454]) ).
fof(f467,plain,
( $false
| ~ spl26_8
| spl26_15 ),
inference(forward_subsumption_resolution,[],[f461,f252]) ).
fof(f468,plain,
( ~ spl26_8
| spl26_15 ),
inference(avatar_contradiction_clause,[],[f467]) ).
fof(f601,definition,
( spl26_19
<=> aElement0(sK21(xb,sK8(slsdtgt0(xa),slsdtgt0(xb),xu))) ),
introduced(definition,[new_symbols(definition,[spl26_19])],[avatar_definition]) ).
fof(f602,plain,
( aElement0(sK21(xb,sK8(slsdtgt0(xa),slsdtgt0(xb),xu)))
| ~ spl26_19 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f603,plain,
( ~ aElement0(sK21(xb,sK8(slsdtgt0(xa),slsdtgt0(xb),xu)))
| spl26_19 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f609,plain,
( ~ aElementOf0(xu,xI)
| ~ spl26_8
| spl26_19 ),
inference(resolution,[],[f603,f400]) ).
fof(f610,plain,
( $false
| ~ spl26_8
| spl26_19 ),
inference(forward_subsumption_resolution,[],[f609,f252]) ).
fof(f611,plain,
( ~ spl26_8
| spl26_19 ),
inference(avatar_contradiction_clause,[],[f610]) ).
fof(f793,plain,
( ! [X0] :
( xu != sdtpldt0(sF23(X0),sK8(slsdtgt0(xa),slsdtgt0(xb),xu))
| ~ aElement0(sK21(xb,sK8(slsdtgt0(xa),slsdtgt0(xb),xu)))
| ~ aElement0(X0) )
| ~ spl26_8 ),
inference(superposition,[],[f273,f407]) ).
fof(f800,plain,
( ! [X0] :
( xu != sdtpldt0(sF23(X0),sK8(slsdtgt0(xa),slsdtgt0(xb),xu))
| ~ aElement0(X0) )
| ~ spl26_8
| ~ spl26_19 ),
inference(forward_subsumption_resolution,[],[f793,f602]) ).
fof(f809,plain,
( xu != sdtpldt0(sK7(slsdtgt0(xa),slsdtgt0(xb),xu),sK8(slsdtgt0(xa),slsdtgt0(xb),xu))
| ~ aElement0(sK21(xa,sK7(slsdtgt0(xa),slsdtgt0(xb),xu)))
| ~ spl26_8
| ~ spl26_19 ),
inference(superposition,[],[f800,f435]) ).
fof(f813,plain,
( xu != sdtpldt0(sK7(slsdtgt0(xa),slsdtgt0(xb),xu),sK8(slsdtgt0(xa),slsdtgt0(xb),xu))
| ~ spl26_8
| ~ spl26_15
| ~ spl26_19 ),
inference(forward_subsumption_resolution,[],[f809,f453]) ).
fof(f905,plain,
( xu = sdtpldt0(sK7(slsdtgt0(xa),slsdtgt0(xb),xu),sK8(slsdtgt0(xa),slsdtgt0(xb),xu))
| ~ spl26_8 ),
inference(resolution,[],[f346,f252]) ).
fof(f909,plain,
( $false
| ~ spl26_8
| ~ spl26_15
| ~ spl26_19 ),
inference(forward_subsumption_resolution,[],[f905,f813]) ).
fof(f910,plain,
( ~ spl26_8
| ~ spl26_15
| ~ spl26_19 ),
inference(avatar_contradiction_clause,[],[f909]) ).
cnf(s5,plain,
( ~ spl26_7
| spl26_8 ),
inference(sat_conversion,[],[f318]) ).
cnf(s6,plain,
( spl26_7
| ~ spl26_9
| ~ spl26_10 ),
inference(sat_conversion,[],[f328]) ).
cnf(s7,plain,
spl26_9,
inference(sat_conversion,[],[f342]) ).
cnf(s8,plain,
spl26_10,
inference(sat_conversion,[],[f345]) ).
cnf(s13,plain,
( ~ spl26_8
| spl26_15 ),
inference(sat_conversion,[],[f468]) ).
cnf(s17,plain,
( ~ spl26_8
| spl26_19 ),
inference(sat_conversion,[],[f611]) ).
cnf(s18,plain,
( ~ spl26_8
| ~ spl26_15
| ~ spl26_19 ),
inference(sat_conversion,[],[f910]) ).
cnf(s19,plain,
spl26_7,
inference(rat,[],[s6,s8,s7]) ).
cnf(s20,plain,
spl26_8,
inference(rat,[],[s5,s19]) ).
cnf(s21,plain,
spl26_19,
inference(rat,[],[s17,s20]) ).
cnf(s23,plain,
spl26_15,
inference(rat,[],[s13,s20]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s18,s20,s21,s23]) ).
fof(f912,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG114+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 23:24:56 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.55/2.06 % (3105949)Detected formulas, will run a generic FOF schedule.
% 7.55/2.06 % (3105955)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3035931021:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.55/2.06 % (3105960)dis-21_1_sil=8000:lcm=predicate:random_seed=1699046129:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 7.55/2.06 % (3105958)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1474484206:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.55/2.06 % (3105957)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=673485172:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.55/2.06 % (3105959)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1354536039:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.55/2.06 % (3105956)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1231728815:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.55/2.06 % (3105954)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2957522879:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.55/2.06 % (3105958)Instruction limit reached!
% 7.55/2.06 % (3105958)------------------------------
% 7.55/2.06 % (3105958)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.06 % (3105958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.06 % (3105958)CaDiCaL version: 2.1.3
% 7.55/2.06 % (3105958)Termination reason: Instruction limit
% 7.55/2.06 % (3105958)Termination phase: Saturation
% 7.55/2.06 % (3105958)Time elapsed: 0.072 s
% 7.55/2.06 % (3105958)Peak memory usage: 88 MB
% 7.55/2.06 % (3105958)Instructions burned: 119 (million)
% 7.55/2.06 % (3105957)Instruction limit reached!
% 7.55/2.06 % (3105957)------------------------------
% 7.55/2.06 % (3105957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.06 % (3105957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.06 % (3105957)CaDiCaL version: 2.1.3
% 7.55/2.06 % (3105957)Termination reason: Instruction limit
% 7.55/2.06 % (3105957)Termination phase: Saturation
% 7.55/2.06 % (3105957)Time elapsed: 0.075 s
% 7.55/2.06 % (3105957)Peak memory usage: 90 MB
% 7.55/2.06 % (3105957)Instructions burned: 110 (million)
% 7.55/2.06 % (3105960)Instruction limit reached!
% 7.55/2.06 % (3105960)------------------------------
% 7.55/2.06 % (3105960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.06 % (3105960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.06 % (3105960)CaDiCaL version: 2.1.3
% 7.55/2.06 % (3105960)Termination reason: Instruction limit
% 7.55/2.06 % (3105960)Termination phase: Saturation
% 7.55/2.06 % (3105960)Time elapsed: 0.077 s
% 7.55/2.06 % (3105960)Peak memory usage: 90 MB
% 7.55/2.06 % (3105960)Instructions burned: 130 (million)
% 7.55/2.06 % (3105959)Instruction limit reached!
% 7.55/2.06 % (3105959)------------------------------
% 7.55/2.06 % (3105959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.06 % (3105959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.06 % (3105959)CaDiCaL version: 2.1.3
% 7.55/2.06 % (3105959)Termination reason: Instruction limit
% 7.55/2.06 % (3105959)Termination phase: Saturation
% 7.55/2.06 % (3105959)Time elapsed: 0.089 s
% 7.55/2.06 % (3105959)Peak memory usage: 90 MB
% 7.55/2.06 % (3105959)Instructions burned: 140 (million)
% 7.55/2.06 % (3105968)lrs+10_1_sil=8000:sp=occurrence:random_seed=3279275691:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.55/2.06 % (3105969)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2957206469:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.55/2.06 % (3105970)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1334189951:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.55/2.06 % (3105971)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1286107088:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 7.55/2.06 % (3105969)Instruction limit reached!
% 7.55/2.06 % (3105969)------------------------------
% 7.55/2.06 % (3105969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.06 % (3105969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.06 % (3105969)CaDiCaL version: 2.1.3
% 7.55/2.06 % (3105969)Termination reason: Instruction limit
% 7.55/2.06 % (3105969)Termination phase: Saturation
% 7.55/2.06 % (3105969)Time elapsed: 0.074 s
% 7.55/2.06 % (3105969)Peak memory usage: 90 MB
% 7.55/2.06 % (3105969)Instructions burned: 157 (million)
% 7.55/2.06 % (3105971)Instruction limit reached!
% 7.55/2.06 % (3105971)------------------------------
% 7.55/2.06 % (3105971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.06 % (3105971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.06 % (3105971)CaDiCaL version: 2.1.3
% 7.55/2.06 % (3105971)Termination reason: Instruction limit
% 7.55/2.06 % (3105971)Termination phase: Saturation
% 7.55/2.06 % (3105971)Time elapsed: 0.089 s
% 7.55/2.06 % (3105971)Peak memory usage: 93 MB
% 7.55/2.06 % (3105971)Instructions burned: 251 (million)
% 7.55/2.06 % (3105968)Instruction limit reached!
% 7.55/2.06 % (3105968)------------------------------
% 7.55/2.06 % (3105968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.06 % (3105968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.06 % (3105968)CaDiCaL version: 2.1.3
% 7.55/2.06 % (3105968)Termination reason: Instruction limit
% 7.55/2.06 % (3105968)Termination phase: Saturation
% 7.55/2.06 % (3105968)Time elapsed: 0.170 s
% 7.55/2.06 % (3105968)Peak memory usage: 93 MB
% 7.55/2.06 % (3105968)Instructions burned: 286 (million)
% 7.55/2.06 % (3105970)Instruction limit reached!
% 7.55/2.06 % (3105970)------------------------------
% 7.55/2.06 % (3105970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.06 % (3105970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.06 % (3105970)CaDiCaL version: 2.1.3
% 7.55/2.06 % (3105970)Termination reason: Instruction limit
% 7.55/2.06 % (3105970)Termination phase: Saturation
% 7.55/2.06 % (3105970)Time elapsed: 0.201 s
% 7.55/2.06 % (3105970)Peak memory usage: 93 MB
% 7.55/2.06 % (3105970)Instructions burned: 325 (million)
% 7.55/2.06 % (3105976)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1607522007:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 7.55/2.06 % (3105977)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3824949450:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 7.55/2.06 % (3105978)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=158566584:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 7.55/2.06 % (3105979)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3553551598:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 7.55/2.06 % (3105978)Instruction limit reached!
% 7.55/2.06 % (3105978)------------------------------
% 7.55/2.06 % (3105978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.06 % (3105978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.06 % (3105978)CaDiCaL version: 2.1.3
% 7.55/2.06 % (3105978)Termination reason: Instruction limit
% 7.55/2.06 % (3105978)Termination phase: Saturation
% 7.55/2.06 % (3105978)Time elapsed: 0.076 s
% 7.55/2.06 % (3105978)Peak memory usage: 91 MB
% 7.55/2.06 % (3105978)Instructions burned: 113 (million)
% 7.55/2.06 % (3105976)Instruction limit reached!
% 7.55/2.06 % (3105976)------------------------------
% 7.55/2.06 % (3105976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.06 % (3105976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.06 % (3105976)CaDiCaL version: 2.1.3
% 7.55/2.06 % (3105976)Termination reason: Instruction limit
% 7.55/2.06 % (3105976)Termination phase: Saturation
% 7.55/2.06 % (3105976)Time elapsed: 0.181 s
% 7.55/2.06 % (3105976)Peak memory usage: 90 MB
% 7.55/2.06 % (3105976)Instructions burned: 296 (million)
% 7.55/2.06 % (3105979)Instruction limit reached!
% 7.55/2.06 % (3105979)------------------------------
% 7.55/2.06 % (3105979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.06 % (3105979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.06 % (3105979)CaDiCaL version: 2.1.3
% 7.55/2.06 % (3105979)Termination reason: Instruction limit
% 7.55/2.06 % (3105979)Termination phase: Saturation
% 7.55/2.06 % (3105979)Time elapsed: 0.066 s
% 7.55/2.06 % (3105979)Peak memory usage: 89 MB
% 7.55/2.06 % (3105979)Instructions burned: 128 (million)
% 7.55/2.06 % (3105954)First to succeed.
% 7.55/2.06 % (3105954)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3105949"
% 7.55/2.06 % (3105984)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=797427118:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.55/2.06 % (3105985)lrs+10_1_sil=8000:sp=occurrence:random_seed=777871623:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 7.55/2.06 % (3105986)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3081498295:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 7.55/2.06 % (3105984)Instruction limit reached!
% 7.55/2.06 % (3105984)------------------------------
% 7.55/2.06 % (3105984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.55/2.06 % (3105984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.55/2.06 % (3105984)CaDiCaL version: 2.1.3
% 7.55/2.06 % (3105984)Termination reason: Instruction limit
% 7.55/2.06 % (3105984)Termination phase: Saturation
% 7.55/2.06 % (3105984)Time elapsed: 0.063 s
% 7.55/2.06 % (3105984)Peak memory usage: 89 MB
% 7.55/2.06 % (3105984)Instructions burned: 115 (million)
% 7.55/2.06 % (3105977)Also succeeded, but the first one will report.
% 7.55/2.06 % (3105956)Also succeeded, but the first one will report.
% 7.55/2.06 % (3105990)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4071786208:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 7.55/2.06 % (3105954)Refutation found. Thanks to Tanya!
% 7.55/2.06 % SZS status Theorem for theBenchmark
% 7.55/2.06 % SZS output start Proof for theBenchmark
% See solution above
% 9.05/2.25 % (3105954)------------------------------
% 9.05/2.25 % (3105954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.05/2.25 % (3105954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.05/2.25 % (3105954)CaDiCaL version: 2.1.3
% 9.05/2.25 % (3105954)Termination reason: Refutation
% 9.05/2.25 % (3105954)Time elapsed: 0.765 s
% 9.05/2.25 % (3105954)Peak memory usage: 130 MB
% 9.05/2.25 % (3105954)Instructions burned: 1137 (million)
% 9.05/2.25 % (3105954)------------------------------
% 9.05/2.25 % (3105954)------------------------------
% 9.05/2.26 % (3105949)Success in time 1.202 s
% 9.05/2.26 % Vampire exiting
%------------------------------------------------------------------------------