%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG121+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 12:35:36 PM UTC 2026
% Result : Theorem 11.35s 2.68s
% Output : Refutation 13.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 73 ( 19 unt; 6 def)
% Number of atoms : 317 ( 67 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 383 ( 139 ~; 142 |; 82 &)
% ( 17 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 4 con; 0-3 aty)
% Number of variables : 145 ( 0 sgn 111 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDefPrIdeal) ).
fof(f39,axiom,
( aElement0(xa)
& aElement0(xb) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2091) ).
fof(f42,axiom,
( aIdeal0(xI)
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2174) ).
fof(f43,axiom,
( aElementOf0(sz00,slsdtgt0(xa))
& aElementOf0(xa,slsdtgt0(xa))
& aElementOf0(sz00,slsdtgt0(xb))
& aElementOf0(xb,slsdtgt0(xb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2203) ).
fof(f53,conjecture,
aElementOf0(xb,xI),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f54,negated_conjecture,
~ aElementOf0(xb,xI),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f62,plain,
~ aElementOf0(xb,xI),
inference(flattening,[],[f54]) ).
fof(f73,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f89,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(f90,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,[],[f89]) ).
fof(f111,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(f116,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(f117,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(f118,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(definition_folding,[],[f90,f117,f116]) ).
fof(f120,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,[],[f117]) ).
fof(f121,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,[],[f120]) ).
fof(f122,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,[],[f116]) ).
fof(f123,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,[],[f122]) ).
fof(f124,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,[],[f123]) ).
fof(f125,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))],[f124]) ).
fof(f148,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,[],[f111]) ).
fof(f149,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,[],[f148]) ).
fof(f150,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,[],[f149]) ).
fof(f151,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))],[f150]) ).
fof(f161,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f73]) ).
fof(f182,plain,
! [X2,X0,X1] :
( sP0(X2,X1,X0)
| sdtpldt1(X1,X0) != X2
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f187,plain,
! [X2,X10,X0,X1,X8,X9] :
( aElementOf0(X8,X0)
| ~ aElementOf0(X9,X1)
| ~ aElementOf0(X10,X2)
| sdtpldt0(X9,X10) != X8
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f125]) ).
fof(f193,plain,
! [X0,X1] :
( sP1(X1,X0)
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f240,plain,
! [X0,X1] :
( aSet0(X1)
| slsdtgt0(X0) != X1
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f245,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
fof(f246,plain,
aElement0(xa),
inference(cnf_transformation,[],[f39]) ).
fof(f249,plain,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(cnf_transformation,[],[f42]) ).
fof(f251,plain,
aElementOf0(xb,slsdtgt0(xb)),
inference(cnf_transformation,[],[f43]) ).
fof(f254,plain,
aElementOf0(sz00,slsdtgt0(xa)),
inference(cnf_transformation,[],[f43]) ).
fof(f272,plain,
~ aElementOf0(xb,xI),
inference(cnf_transformation,[],[f62]) ).
fof(f273,plain,
! [X0,X1] :
( sP0(sdtpldt1(X1,X0),X1,X0)
| ~ sP1(X0,X1) ),
inference(equality_resolution,[],[f182]) ).
fof(f274,plain,
! [X2,X10,X0,X1,X9] :
( ~ sP0(X0,X1,X2)
| ~ aElementOf0(X9,X1)
| ~ aElementOf0(X10,X2)
| aElementOf0(sdtpldt0(X9,X10),X0) ),
inference(equality_resolution,[],[f187]) ).
fof(f280,plain,
! [X0] :
( aSet0(slsdtgt0(X0))
| ~ aElement0(X0) ),
inference(equality_resolution,[],[f240]) ).
fof(f352,plain,
( sP0(xI,slsdtgt0(xa),slsdtgt0(xb))
| ~ sP1(slsdtgt0(xb),slsdtgt0(xa)) ),
inference(superposition,[],[f273,f249]) ).
fof(f354,definition,
( spl25_9
<=> sP1(slsdtgt0(xb),slsdtgt0(xa)) ),
introduced(definition,[new_symbols(definition,[spl25_9])],[avatar_definition]) ).
fof(f356,plain,
( ~ sP1(slsdtgt0(xb),slsdtgt0(xa))
| spl25_9 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f358,definition,
( spl25_10
<=> sP0(xI,slsdtgt0(xa),slsdtgt0(xb)) ),
introduced(definition,[new_symbols(definition,[spl25_10])],[avatar_definition]) ).
fof(f360,plain,
( sP0(xI,slsdtgt0(xa),slsdtgt0(xb))
| ~ spl25_10 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f361,plain,
( ~ spl25_9
| spl25_10 ),
inference(avatar_split_clause,[],[f352,f358,f354]) ).
fof(f362,plain,
( ~ aSet0(slsdtgt0(xa))
| ~ aSet0(slsdtgt0(xb))
| spl25_9 ),
inference(resolution,[],[f356,f193]) ).
fof(f364,definition,
( spl25_11
<=> aSet0(slsdtgt0(xb)) ),
introduced(definition,[new_symbols(definition,[spl25_11])],[avatar_definition]) ).
fof(f366,plain,
( ~ aSet0(slsdtgt0(xb))
| spl25_11 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f368,definition,
( spl25_12
<=> aSet0(slsdtgt0(xa)) ),
introduced(definition,[new_symbols(definition,[spl25_12])],[avatar_definition]) ).
fof(f370,plain,
( ~ aSet0(slsdtgt0(xa))
| spl25_12 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f371,plain,
( ~ spl25_11
| ~ spl25_12
| spl25_9 ),
inference(avatar_split_clause,[],[f362,f354,f368,f364]) ).
fof(f372,plain,
( ~ aElement0(xb)
| spl25_11 ),
inference(resolution,[],[f366,f280]) ).
fof(f373,plain,
( $false
| spl25_11 ),
inference(forward_subsumption_resolution,[],[f372,f245]) ).
fof(f374,plain,
spl25_11,
inference(avatar_contradiction_clause,[],[f373]) ).
fof(f375,plain,
( ~ aElement0(xa)
| spl25_12 ),
inference(resolution,[],[f370,f280]) ).
fof(f376,plain,
( $false
| spl25_12 ),
inference(forward_subsumption_resolution,[],[f375,f246]) ).
fof(f377,plain,
spl25_12,
inference(avatar_contradiction_clause,[],[f376]) ).
fof(f430,plain,
xb = sdtpldt0(sz00,xb),
inference(resolution,[],[f161,f245]) ).
fof(f456,plain,
( ! [X0,X1] :
( aElementOf0(sdtpldt0(X0,X1),xI)
| ~ aElementOf0(X1,slsdtgt0(xb))
| ~ aElementOf0(X0,slsdtgt0(xa)) )
| ~ spl25_10 ),
inference(resolution,[],[f274,f360]) ).
fof(f460,plain,
( aElementOf0(xb,xI)
| ~ aElementOf0(xb,slsdtgt0(xb))
| ~ aElementOf0(sz00,slsdtgt0(xa))
| ~ spl25_10 ),
inference(superposition,[],[f456,f430]) ).
fof(f463,plain,
( ~ aElementOf0(xb,slsdtgt0(xb))
| ~ aElementOf0(sz00,slsdtgt0(xa))
| ~ spl25_10 ),
inference(forward_subsumption_resolution,[],[f460,f272]) ).
fof(f467,plain,
( ~ aElementOf0(sz00,slsdtgt0(xa))
| ~ spl25_10 ),
inference(forward_subsumption_resolution,[],[f463,f251]) ).
fof(f477,plain,
( $false
| ~ spl25_10 ),
inference(forward_subsumption_resolution,[],[f467,f254]) ).
fof(f478,plain,
~ spl25_10,
inference(avatar_contradiction_clause,[],[f477]) ).
cnf(s6,plain,
( ~ spl25_9
| spl25_10 ),
inference(sat_conversion,[],[f361]) ).
cnf(s7,plain,
( spl25_9
| ~ spl25_11
| ~ spl25_12 ),
inference(sat_conversion,[],[f371]) ).
cnf(s8,plain,
spl25_11,
inference(sat_conversion,[],[f374]) ).
cnf(s9,plain,
spl25_12,
inference(sat_conversion,[],[f377]) ).
cnf(s12,plain,
~ spl25_10,
inference(sat_conversion,[],[f478]) ).
cnf(s13,plain,
spl25_9,
inference(rat,[],[s7,s9,s8]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s6,s12,s13]) ).
fof(f479,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG121+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.42 % Computer : n003.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sun Sep 27 23:23:26 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.48 Running first-order theorem proving
% 0.23/0.48 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.35/2.68 % (1041112)Detected formulas, will run a generic FOF schedule.
% 11.35/2.68 % (1041122)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=992246748:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.35/2.68 % (1041122)Instruction limit reached!
% 11.35/2.68 % (1041122)------------------------------
% 11.35/2.68 % (1041122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.68 % (1041122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.68 % (1041122)CaDiCaL version: 2.1.3
% 11.35/2.68 % (1041122)Termination reason: Instruction limit
% 11.35/2.68 % (1041122)Termination phase: Saturation
% 11.35/2.68 % (1041122)Time elapsed: 0.062 s
% 11.35/2.68 % (1041122)Peak memory usage: 90 MB
% 11.35/2.68 % (1041122)Instructions burned: 142 (million)
% 11.35/2.68 % (1041119)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=3527458442:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.35/2.68 % (1041123)dis-21_1_sil=8000:lcm=predicate:random_seed=824268296: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)
% 11.35/2.68 % (1041118)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=3541244842:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.35/2.68 % (1041121)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1194803484:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.35/2.68 % (1041120)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1524137660:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.35/2.68 % (1041117)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=1408969822:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.35/2.68 % (1041121)Instruction limit reached!
% 11.35/2.68 % (1041121)------------------------------
% 11.35/2.68 % (1041121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.68 % (1041121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.68 % (1041121)CaDiCaL version: 2.1.3
% 11.35/2.68 % (1041121)Termination reason: Instruction limit
% 11.35/2.68 % (1041121)Termination phase: Saturation
% 11.35/2.68 % (1041121)Time elapsed: 0.117 s
% 11.35/2.68 % (1041121)Peak memory usage: 89 MB
% 11.35/2.68 % (1041121)Instructions burned: 119 (million)
% 11.35/2.68 % (1041123)Instruction limit reached!
% 11.35/2.68 % (1041123)------------------------------
% 11.35/2.68 % (1041123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.68 % (1041123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.68 % (1041123)CaDiCaL version: 2.1.3
% 11.35/2.68 % (1041123)Termination reason: Instruction limit
% 11.35/2.68 % (1041123)Termination phase: Saturation
% 11.35/2.68 % (1041123)Time elapsed: 0.120 s
% 11.35/2.68 % (1041123)Peak memory usage: 89 MB
% 11.35/2.68 % (1041123)Instructions burned: 130 (million)
% 11.35/2.68 % (1041120)Instruction limit reached!
% 11.35/2.68 % (1041120)------------------------------
% 11.35/2.68 % (1041120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.68 % (1041120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.68 % (1041120)CaDiCaL version: 2.1.3
% 11.35/2.68 % (1041120)Termination reason: Instruction limit
% 11.35/2.68 % (1041120)Termination phase: Saturation
% 11.35/2.68 % (1041120)Time elapsed: 0.120 s
% 11.35/2.68 % (1041120)Peak memory usage: 89 MB
% 11.35/2.68 % (1041120)Instructions burned: 109 (million)
% 11.35/2.68 % (1041125)lrs+10_1_sil=8000:sp=occurrence:random_seed=2627876921:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.35/2.68 % (1041133)lrs+1011_1_sil=32000:sp=occurrence:random_seed=979613591:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 11.35/2.68 % (1041125)Instruction limit reached!
% 11.35/2.68 % (1041125)------------------------------
% 11.35/2.68 % (1041125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.68 % (1041125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.68 % (1041125)CaDiCaL version: 2.1.3
% 11.35/2.68 % (1041125)Termination reason: Instruction limit
% 11.35/2.68 % (1041125)Termination phase: Saturation
% 11.35/2.68 % (1041125)Time elapsed: 0.146 s
% 11.35/2.68 % (1041125)Peak memory usage: 93 MB
% 11.35/2.68 % (1041125)Instructions burned: 286 (million)
% 11.35/2.68 % (1041132)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2329443913:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 11.35/2.68 % (1041132)Refutation not found, incomplete strategy
% 11.35/2.68 % (1041132)------------------------------
% 11.35/2.68 % (1041132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.68 % (1041132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.68 % (1041132)CaDiCaL version: 2.1.3
% 11.35/2.68 % (1041132)Termination reason: Refutation not found, incomplete strategy
% 11.35/2.68 % (1041132)Time elapsed: 0.002 s
% 11.35/2.68 % (1041132)Peak memory usage: 88 MB
% 11.35/2.68 % (1041132)Instructions burned: 1 (million)
% 11.35/2.68 % (1041134)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=1411340380:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 11.35/2.68 % (1041137)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=866987880:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 11.35/2.68 % (1041133)Instruction limit reached!
% 11.35/2.68 % (1041133)------------------------------
% 11.35/2.68 % (1041133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.68 % (1041133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.68 % (1041133)CaDiCaL version: 2.1.3
% 11.35/2.68 % (1041133)Termination reason: Instruction limit
% 11.35/2.68 % (1041133)Termination phase: Saturation
% 11.35/2.68 % (1041133)Time elapsed: 0.322 s
% 11.35/2.68 % (1041133)Peak memory usage: 93 MB
% 11.35/2.68 % (1041133)Instructions burned: 325 (million)
% 11.35/2.68 % (1041134)Instruction limit reached!
% 11.35/2.68 % (1041134)------------------------------
% 11.35/2.68 % (1041134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.68 % (1041134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.68 % (1041134)CaDiCaL version: 2.1.3
% 11.35/2.68 % (1041134)Termination reason: Instruction limit
% 11.35/2.68 % (1041134)Termination phase: Saturation
% 11.35/2.68 % (1041134)Time elapsed: 0.213 s
% 11.35/2.68 % (1041134)Peak memory usage: 94 MB
% 11.35/2.68 % (1041134)Instructions burned: 248 (million)
% 11.35/2.68 % (1041137)Instruction limit reached!
% 11.35/2.68 % (1041137)------------------------------
% 11.35/2.68 % (1041137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.68 % (1041137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.68 % (1041137)CaDiCaL version: 2.1.3
% 11.35/2.68 % (1041137)Termination reason: Instruction limit
% 11.35/2.68 % (1041137)Termination phase: Saturation
% 11.35/2.68 % (1041137)Time elapsed: 0.162 s
% 11.35/2.68 % (1041137)Peak memory usage: 90 MB
% 11.35/2.68 % (1041137)Instructions burned: 295 (million)
% 11.35/2.68 % (1041132)------------------------------
% 11.35/2.68 % (1041132)------------------------------
% 11.35/2.68 % (1041141)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1159004664:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 11.35/2.68 % (1041142)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2638186152:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 11.35/2.68 % (1041143)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=982849388:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 11.35/2.68 % (1041144)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1652889677:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 11.35/2.68 % (1041144)Instruction limit reached!
% 11.35/2.68 % (1041144)------------------------------
% 11.35/2.68 % (1041144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.68 % (1041144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.68 % (1041144)CaDiCaL version: 2.1.3
% 11.35/2.68 % (1041144)Termination reason: Instruction limit
% 11.35/2.68 % (1041144)Termination phase: Saturation
% 11.35/2.68 % (1041144)Time elapsed: 0.058 s
% 11.35/2.68 % (1041144)Peak memory usage: 89 MB
% 11.35/2.68 % (1041144)Instructions burned: 115 (million)
% 11.35/2.68 % (1041142)Instruction limit reached!
% 11.35/2.68 % (1041142)------------------------------
% 11.35/2.68 % (1041142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.68 % (1041142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.68 % (1041142)CaDiCaL version: 2.1.3
% 11.35/2.68 % (1041142)Termination reason: Instruction limit
% 11.35/2.68 % (1041142)Termination phase: Saturation
% 11.35/2.68 % (1041142)Time elapsed: 0.121 s
% 11.35/2.68 % (1041142)Peak memory usage: 91 MB
% 11.35/2.68 % (1041142)Instructions burned: 113 (million)
% 11.35/2.68 % (1041117)First to succeed.
% 11.35/2.68 % (1041117)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1041112"
% 11.35/2.68 % (1041118)Also succeeded, but the first one will report.
% 11.35/2.68 % (1041143)Instruction limit reached!
% 11.35/2.68 % (1041143)------------------------------
% 11.35/2.68 % (1041143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.35/2.68 % (1041143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.35/2.68 % (1041143)CaDiCaL version: 2.1.3
% 11.35/2.68 % (1041143)Termination reason: Instruction limit
% 11.35/2.68 % (1041143)Termination phase: Saturation
% 11.35/2.68 % (1041143)Time elapsed: 0.114 s
% 11.35/2.68 % (1041143)Peak memory usage: 89 MB
% 11.35/2.68 % (1041143)Instructions burned: 128 (million)
% 11.35/2.68 % (1041150)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2316599265:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 11.35/2.68 % (1041149)lrs+10_1_sil=8000:sp=occurrence:random_seed=1569499519:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 11.35/2.68 % (1041151)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4198714445:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 11.35/2.68 % (1041117)Refutation found. Thanks to Tanya!
% 11.35/2.68 % SZS status Theorem for theBenchmark
% 11.35/2.68 % SZS output start Proof for theBenchmark
% See solution above
% 13.17/2.97 % (1041117)------------------------------
% 13.17/2.97 % (1041117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.17/2.97 % (1041117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.17/2.97 % (1041117)CaDiCaL version: 2.1.3
% 13.17/2.97 % (1041117)Termination reason: Refutation
% 13.17/2.97 % (1041117)Time elapsed: 1.074 s
% 13.17/2.97 % (1041117)Peak memory usage: 130 MB
% 13.17/2.97 % (1041117)Instructions burned: 980 (million)
% 13.17/2.97 % (1041117)------------------------------
% 13.17/2.97 % (1041117)------------------------------
% 13.17/2.97 % (1041112)Success in time 1.762 s
% 13.17/2.97 % Vampire exiting
%------------------------------------------------------------------------------