%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR013+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 09:41:57 AM UTC 2026
% Result : Theorem 4.47s 1.36s
% Output : Refutation 5.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 32
% Syntax : Number of formulae : 188 ( 35 unt; 14 def)
% Number of atoms : 576 ( 134 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 647 ( 259 ~; 270 |; 88 &)
% ( 25 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 13 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-3 aty)
% Number of variables : 213 ( 0 sgn 197 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( stoppedIn(X0,X1,X2)
<=> ? [X3,X4] :
( happens(X3,X4)
& less(X0,X4)
& less(X4,X2)
& terminates(X3,X1,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stoppedin_defn) ).
fof(f3,axiom,
! [X0,X1,X2,X3,X4] :
( ( happens(X0,X1)
& initiates(X0,X2,X1)
& less(n0,X4)
& trajectory(X2,X1,X3,X4)
& ~ stoppedIn(X1,X2,plus(X1,X4)) )
=> holdsAt(X3,plus(X1,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',change_holding) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( happens(X0,X1)
& terminates(X0,X2,X1) )
=> ~ holdsAt(X2,plus(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_terminates_not_holds) ).
fof(f13,axiom,
! [X0,X1,X2] :
( initiates(X0,X1,X2)
<=> ( ( X0 = tapOn
& X1 = filling )
| ( X0 = overflow
& X1 = spilling )
| ? [X3] :
( holdsAt(waterLevel(X3),X2)
& X0 = tapOff
& X1 = waterLevel(X3) )
| ? [X3] :
( holdsAt(waterLevel(X3),X2)
& X0 = overflow
& X1 = waterLevel(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initiates_all_defn) ).
fof(f14,axiom,
! [X0,X1,X2] :
( terminates(X0,X1,X2)
<=> ( ( X0 = tapOff
& X1 = filling )
| ( X0 = overflow
& X1 = filling ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',terminates_all_defn) ).
fof(f16,axiom,
! [X0,X1] :
( happens(X0,X1)
<=> ( ( X0 = tapOn
& X1 = n0 )
| ( holdsAt(waterLevel(n3),X1)
& holdsAt(filling,X1)
& X0 = overflow ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_all_defn) ).
fof(f17,axiom,
! [X0,X1,X2,X3] :
( ( holdsAt(waterLevel(X0),X1)
& X2 = plus(X0,X3) )
=> trajectory(filling,X1,waterLevel(X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',change_of_waterLevel) ).
fof(f18,axiom,
! [X0,X1,X2] :
( ( holdsAt(waterLevel(X1),X0)
& holdsAt(waterLevel(X2),X0) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',same_waterLevel) ).
fof(f28,axiom,
plus(n0,n2) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_2) ).
fof(f30,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_1) ).
fof(f37,axiom,
! [X0,X1] :
( less_or_equal(X0,X1)
<=> ( less(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal) ).
fof(f38,axiom,
~ ? [X0] : less(X0,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less0) ).
fof(f39,axiom,
! [X0] :
( less(X0,n1)
<=> less_or_equal(X0,n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less1) ).
fof(f40,axiom,
! [X0] :
( less(X0,n2)
<=> less_or_equal(X0,n1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less2) ).
fof(f41,axiom,
! [X0] :
( less(X0,n3)
<=> less_or_equal(X0,n2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less3) ).
fof(f48,axiom,
! [X0,X1] :
( less(X0,X1)
<=> ( ~ less(X1,X0)
& X1 != X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).
fof(f49,axiom,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_0) ).
fof(f55,conjecture,
~ ? [X0] :
( happens(X0,n2)
& terminates(X0,filling,n2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nothing_terminates_filling_2) ).
fof(f56,negated_conjecture,
~ ~ ? [X0] :
( happens(X0,n2)
& terminates(X0,filling,n2) ),
inference(negated_conjecture,[status(cth)],[f55]) ).
fof(f57,plain,
! [X0,X1,X2] :
( initiates(X0,X1,X2)
<=> ( ( X0 = tapOn
& X1 = filling )
| ( X0 = overflow
& X1 = spilling )
| ? [X3] :
( holdsAt(waterLevel(X3),X2)
& X0 = tapOff
& X1 = waterLevel(X3) )
| ? [X4] :
( holdsAt(waterLevel(X4),X2)
& X0 = overflow
& waterLevel(X4) = X1 ) ) ),
inference(rectify,[],[f13]) ).
fof(f58,plain,
? [X0] :
( happens(X0,n2)
& terminates(X0,filling,n2) ),
inference(flattening,[],[f56]) ).
fof(f60,plain,
! [X0,X1,X2] :
( stoppedIn(X0,X1,X2)
=> ? [X3,X4] :
( happens(X3,X4)
& less(X0,X4)
& less(X4,X2)
& terminates(X3,X1,X4) ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( happens(X3,X4)
& less(X0,X4)
& less(X4,X2)
& terminates(X3,X1,X4) )
| ~ stoppedIn(X0,X1,X2) ),
inference(ennf_transformation,[],[f60]) ).
fof(f64,plain,
! [X0,X1,X2,X3,X4] :
( holdsAt(X3,plus(X1,X4))
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1)
| ~ less(n0,X4)
| ~ trajectory(X2,X1,X3,X4)
| stoppedIn(X1,X2,plus(X1,X4)) ),
inference(ennf_transformation,[],[f3]) ).
fof(f65,plain,
! [X0,X1,X2,X3,X4] :
( holdsAt(X3,plus(X1,X4))
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1)
| ~ less(n0,X4)
| ~ trajectory(X2,X1,X3,X4)
| stoppedIn(X1,X2,plus(X1,X4)) ),
inference(flattening,[],[f64]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ terminates(X0,X2,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ terminates(X0,X2,X1) ),
inference(flattening,[],[f76]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( trajectory(filling,X1,waterLevel(X2),X3)
| ~ holdsAt(waterLevel(X0),X1)
| plus(X0,X3) != X2 ),
inference(ennf_transformation,[],[f17]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( trajectory(filling,X1,waterLevel(X2),X3)
| ~ holdsAt(waterLevel(X0),X1)
| plus(X0,X3) != X2 ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ holdsAt(waterLevel(X1),X0)
| ~ holdsAt(waterLevel(X2),X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f85,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ holdsAt(waterLevel(X1),X0)
| ~ holdsAt(waterLevel(X2),X0) ),
inference(flattening,[],[f84]) ).
fof(f86,plain,
! [X0] : ~ less(X0,n0),
inference(ennf_transformation,[],[f38]) ).
fof(f87,definition,
! [X2,X0,X1] :
( sP0(X2,X0,X1)
<=> ? [X4] :
( holdsAt(waterLevel(X4),X2)
& X0 = overflow
& waterLevel(X4) = X1 ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f88,definition,
! [X2,X0,X1] :
( sP1(X2,X0,X1)
<=> ? [X3] :
( holdsAt(waterLevel(X3),X2)
& X0 = tapOff
& X1 = waterLevel(X3) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f89,plain,
! [X0,X1,X2] :
( initiates(X0,X1,X2)
<=> ( ( X0 = tapOn
& X1 = filling )
| ( X0 = overflow
& X1 = spilling )
| sP1(X2,X0,X1)
| sP0(X2,X0,X1) ) ),
inference(definition_folding,[],[f57,f88,f87]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ( happens(sK2(X0,X1,X2),sK3(X0,X1,X2))
& less(X0,sK3(X0,X1,X2))
& less(sK3(X0,X1,X2),X2)
& terminates(sK2(X0,X1,X2),X1,sK3(X0,X1,X2)) )
| ~ stoppedIn(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X3,sK2(X0,X1,X2)),skolemize(X4,sK3(X0,X1,X2))],[f63]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ( initiates(X0,X1,X2)
| ( ( tapOn != X0
| filling != X1 )
& ( overflow != X0
| spilling != X1 )
& ~ sP1(X2,X0,X1)
& ~ sP0(X2,X0,X1) ) )
& ( ( X0 = tapOn
& X1 = filling )
| ( X0 = overflow
& X1 = spilling )
| sP1(X2,X0,X1)
| sP0(X2,X0,X1)
| ~ initiates(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f89]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ( initiates(X0,X1,X2)
| ( ( tapOn != X0
| filling != X1 )
& ( overflow != X0
| spilling != X1 )
& ~ sP1(X2,X0,X1)
& ~ sP0(X2,X0,X1) ) )
& ( ( X0 = tapOn
& X1 = filling )
| ( X0 = overflow
& X1 = spilling )
| sP1(X2,X0,X1)
| sP0(X2,X0,X1)
| ~ initiates(X0,X1,X2) ) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ( terminates(X0,X1,X2)
| ( ( tapOff != X0
| filling != X1 )
& ( overflow != X0
| filling != X1 ) ) )
& ( ( X0 = tapOff
& X1 = filling )
| ( X0 = overflow
& X1 = filling )
| ~ terminates(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ( terminates(X0,X1,X2)
| ( ( tapOff != X0
| filling != X1 )
& ( overflow != X0
| filling != X1 ) ) )
& ( ( X0 = tapOff
& X1 = filling )
| ( X0 = overflow
& X1 = filling )
| ~ terminates(X0,X1,X2) ) ),
inference(flattening,[],[f103]) ).
fof(f108,plain,
! [X0,X1] :
( ( happens(X0,X1)
| ( ( tapOn != X0
| n0 != X1 )
& ( ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1)
| overflow != X0 ) ) )
& ( ( X0 = tapOn
& X1 = n0 )
| ( holdsAt(waterLevel(n3),X1)
& holdsAt(filling,X1)
& X0 = overflow )
| ~ happens(X0,X1) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f109,plain,
! [X0,X1] :
( ( happens(X0,X1)
| ( ( tapOn != X0
| n0 != X1 )
& ( ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1)
| overflow != X0 ) ) )
& ( ( X0 = tapOn
& X1 = n0 )
| ( holdsAt(waterLevel(n3),X1)
& holdsAt(filling,X1)
& X0 = overflow )
| ~ happens(X0,X1) ) ),
inference(flattening,[],[f108]) ).
fof(f111,plain,
! [X0,X1] :
( ( less_or_equal(X0,X1)
| ( ~ less(X0,X1)
& X0 != X1 ) )
& ( less(X0,X1)
| X0 = X1
| ~ less_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f112,plain,
! [X0,X1] :
( ( less_or_equal(X0,X1)
| ( ~ less(X0,X1)
& X0 != X1 ) )
& ( less(X0,X1)
| X0 = X1
| ~ less_or_equal(X0,X1) ) ),
inference(flattening,[],[f111]) ).
fof(f113,plain,
! [X0] :
( ( less(X0,n1)
| ~ less_or_equal(X0,n0) )
& ( less_or_equal(X0,n0)
| ~ less(X0,n1) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f114,plain,
! [X0] :
( ( less(X0,n2)
| ~ less_or_equal(X0,n1) )
& ( less_or_equal(X0,n1)
| ~ less(X0,n2) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f115,plain,
! [X0] :
( ( less(X0,n3)
| ~ less_or_equal(X0,n2) )
& ( less_or_equal(X0,n2)
| ~ less(X0,n3) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f122,plain,
! [X0,X1] :
( ( less(X0,X1)
| less(X1,X0)
| X0 = X1 )
& ( ( ~ less(X1,X0)
& X1 != X0 )
| ~ less(X0,X1) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f123,plain,
! [X0,X1] :
( ( less(X0,X1)
| less(X1,X0)
| X0 = X1 )
& ( ( ~ less(X1,X0)
& X1 != X0 )
| ~ less(X0,X1) ) ),
inference(flattening,[],[f122]) ).
fof(f124,plain,
( happens(sK11,n2)
& terminates(sK11,filling,n2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X0,sK11)],[f58]) ).
fof(f125,plain,
! [X2,X0,X1] :
( terminates(sK2(X0,X1,X2),X1,sK3(X0,X1,X2))
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f126,plain,
! [X2,X0,X1] :
( less(sK3(X0,X1,X2),X2)
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f127,plain,
! [X2,X0,X1] :
( less(X0,sK3(X0,X1,X2))
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f128,plain,
! [X2,X0,X1] :
( happens(sK2(X0,X1,X2),sK3(X0,X1,X2))
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f129,plain,
! [X2,X3,X0,X1,X4] :
( ~ trajectory(X2,X1,X3,X4)
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1)
| ~ less(n0,X4)
| holdsAt(X3,plus(X1,X4))
| stoppedIn(X1,X2,plus(X1,X4)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ terminates(X0,X2,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f158,plain,
! [X2,X0,X1] :
( initiates(X0,X1,X2)
| tapOn != X0
| filling != X1 ),
inference(cnf_transformation,[],[f102]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ terminates(X0,X1,X2)
| overflow = X0
| tapOff = X0 ),
inference(cnf_transformation,[],[f104]) ).
fof(f169,plain,
! [X0,X1] :
( ~ happens(X0,X1)
| holdsAt(filling,X1)
| n0 = X1 ),
inference(cnf_transformation,[],[f109]) ).
fof(f170,plain,
! [X0,X1] :
( ~ happens(X0,X1)
| holdsAt(waterLevel(n3),X1)
| n0 = X1 ),
inference(cnf_transformation,[],[f109]) ).
fof(f175,plain,
! [X0,X1] :
( happens(X0,X1)
| tapOn != X0
| n0 != X1 ),
inference(cnf_transformation,[],[f109]) ).
fof(f176,plain,
! [X2,X3,X0,X1] :
( trajectory(filling,X1,waterLevel(X2),X3)
| ~ holdsAt(waterLevel(X0),X1)
| plus(X0,X3) != X2 ),
inference(cnf_transformation,[],[f83]) ).
fof(f177,plain,
! [X2,X0,X1] :
( ~ holdsAt(waterLevel(X2),X0)
| ~ holdsAt(waterLevel(X1),X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f85]) ).
fof(f188,plain,
n2 = plus(n0,n2),
inference(cnf_transformation,[],[f28]) ).
fof(f190,plain,
n2 = plus(n1,n1),
inference(cnf_transformation,[],[f30]) ).
fof(f197,plain,
! [X0,X1] :
( ~ less_or_equal(X0,X1)
| X0 = X1
| less(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f198,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f112]) ).
fof(f199,plain,
! [X0,X1] :
( ~ less(X0,X1)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f200,plain,
! [X0] : ~ less(X0,n0),
inference(cnf_transformation,[],[f86]) ).
fof(f201,plain,
! [X0] :
( ~ less(X0,n1)
| less_or_equal(X0,n0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f202,plain,
! [X0] :
( ~ less_or_equal(X0,n0)
| less(X0,n1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f203,plain,
! [X0] :
( ~ less(X0,n2)
| less_or_equal(X0,n1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f204,plain,
! [X0] :
( ~ less_or_equal(X0,n1)
| less(X0,n2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f206,plain,
! [X0] :
( ~ less_or_equal(X0,n2)
| less(X0,n3) ),
inference(cnf_transformation,[],[f115]) ).
fof(f219,plain,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f222,plain,
holdsAt(waterLevel(n0),n0),
inference(cnf_transformation,[],[f49]) ).
fof(f229,plain,
happens(sK11,n2),
inference(cnf_transformation,[],[f124]) ).
fof(f234,plain,
! [X2,X1] :
( initiates(tapOn,X1,X2)
| filling != X1 ),
inference(equality_resolution,[],[f158]) ).
fof(f235,plain,
! [X2] : initiates(tapOn,filling,X2),
inference(equality_resolution,[],[f234]) ).
fof(f244,plain,
! [X1] :
( happens(tapOn,X1)
| n0 != X1 ),
inference(equality_resolution,[],[f175]) ).
fof(f245,plain,
happens(tapOn,n0),
inference(equality_resolution,[],[f244]) ).
fof(f247,plain,
! [X3,X0,X1] :
( trajectory(filling,X1,waterLevel(plus(X0,X3)),X3)
| ~ holdsAt(waterLevel(X0),X1) ),
inference(equality_resolution,[],[f176]) ).
fof(f249,plain,
! [X1] : less_or_equal(X1,X1),
inference(equality_resolution,[],[f198]) ).
fof(f250,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f219]) ).
fof(f252,plain,
( holdsAt(waterLevel(n3),n2)
| n0 = n2 ),
inference(resolution,[],[f170,f229]) ).
fof(f254,definition,
( spl12_1
<=> n0 = n2 ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
fof(f256,plain,
( n0 = n2
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f258,definition,
( spl12_2
<=> holdsAt(waterLevel(n3),n2) ),
introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition]) ).
fof(f260,plain,
( holdsAt(waterLevel(n3),n2)
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f261,plain,
( spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f252,f258,f254]) ).
fof(f264,plain,
! [X0,X1] :
( ~ terminates(X1,X0,n1)
| ~ happens(X1,n1)
| ~ holdsAt(X0,n2) ),
inference(superposition,[],[f139,f190]) ).
fof(f265,plain,
less(n2,n3),
inference(resolution,[],[f249,f206]) ).
fof(f266,plain,
less(n1,n2),
inference(resolution,[],[f249,f204]) ).
fof(f270,plain,
( holdsAt(filling,n2)
| n0 = n2 ),
inference(resolution,[],[f169,f229]) ).
fof(f272,definition,
( spl12_3
<=> holdsAt(filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition]) ).
fof(f274,plain,
( holdsAt(filling,n2)
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f275,plain,
( spl12_1
| spl12_3 ),
inference(avatar_split_clause,[],[f270,f272,f254]) ).
fof(f280,plain,
less(n0,n1),
inference(resolution,[],[f202,f249]) ).
fof(f281,plain,
less_or_equal(n0,n1),
inference(resolution,[],[f280,f199]) ).
fof(f323,plain,
( less(n1,n0)
| ~ spl12_1 ),
inference(superposition,[],[f266,f256]) ).
fof(f324,plain,
( $false
| ~ spl12_1 ),
inference(forward_subsumption_resolution,[],[f323,f200]) ).
fof(f325,plain,
~ spl12_1,
inference(avatar_contradiction_clause,[],[f324]) ).
fof(f331,plain,
( ! [X0] :
( ~ holdsAt(waterLevel(X0),n2)
| n3 = X0 )
| ~ spl12_2 ),
inference(resolution,[],[f260,f177]) ).
fof(f346,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n2),n1)
| ~ stoppedIn(X0,X1,n2) ),
inference(resolution,[],[f126,f203]) ).
fof(f382,plain,
! [X0,X1] :
( less(sK3(X0,X1,n2),n1)
| n1 = sK3(X0,X1,n2)
| ~ stoppedIn(X0,X1,n2) ),
inference(resolution,[],[f346,f197]) ).
fof(f383,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n2),n0)
| ~ stoppedIn(X0,X1,n2)
| n1 = sK3(X0,X1,n2) ),
inference(resolution,[],[f382,f201]) ).
fof(f412,plain,
less(n0,n2),
inference(resolution,[],[f281,f204]) ).
fof(f417,plain,
! [X2,X3,X0,X1] :
( ~ holdsAt(waterLevel(X0),X1)
| ~ happens(X2,X1)
| ~ initiates(X2,filling,X1)
| ~ less(n0,X3)
| holdsAt(waterLevel(plus(X0,X3)),plus(X1,X3))
| stoppedIn(X1,filling,plus(X1,X3)) ),
inference(resolution,[],[f247,f129]) ).
fof(f432,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n2)
| n1 = sK3(X0,X1,n2)
| n0 = sK3(X0,X1,n2)
| less(sK3(X0,X1,n2),n0) ),
inference(resolution,[],[f383,f197]) ).
fof(f433,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n2)
| n1 = sK3(X0,X1,n2)
| n0 = sK3(X0,X1,n2) ),
inference(forward_subsumption_resolution,[],[f432,f200]) ).
fof(f438,plain,
! [X0,X1] :
( ~ happens(X0,n0)
| ~ initiates(X0,filling,n0)
| ~ less(n0,X1)
| holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1))
| stoppedIn(n0,filling,plus(n0,X1)) ),
inference(resolution,[],[f417,f222]) ).
fof(f448,definition,
( spl12_10
<=> ! [X1] :
( ~ less(n0,X1)
| stoppedIn(n0,filling,plus(n0,X1))
| holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl12_10])],[avatar_definition]) ).
fof(f449,plain,
( ! [X1] :
( holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1))
| stoppedIn(n0,filling,plus(n0,X1))
| ~ less(n0,X1) )
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f451,definition,
( spl12_11
<=> ! [X0] :
( ~ happens(X0,n0)
| ~ initiates(X0,filling,n0) ) ),
introduced(definition,[new_symbols(definition,[spl12_11])],[avatar_definition]) ).
fof(f452,plain,
( ! [X0] :
( ~ initiates(X0,filling,n0)
| ~ happens(X0,n0) )
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f453,plain,
( spl12_10
| spl12_11 ),
inference(avatar_split_clause,[],[f438,f451,f448]) ).
fof(f460,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| ~ less(n0,n2)
| ~ spl12_10 ),
inference(superposition,[],[f449,f188]) ).
fof(f463,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| ~ spl12_10 ),
inference(forward_subsumption_resolution,[],[f460,f412]) ).
fof(f480,definition,
( spl12_15
<=> stoppedIn(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_15])],[avatar_definition]) ).
fof(f482,plain,
( stoppedIn(n0,filling,n2)
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f484,definition,
( spl12_16
<=> holdsAt(waterLevel(n2),n2) ),
introduced(definition,[new_symbols(definition,[spl12_16])],[avatar_definition]) ).
fof(f486,plain,
( holdsAt(waterLevel(n2),n2)
| ~ spl12_16 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f503,plain,
( ~ happens(tapOn,n0)
| ~ spl12_11 ),
inference(resolution,[],[f452,f235]) ).
fof(f504,plain,
( $false
| ~ spl12_11 ),
inference(forward_subsumption_resolution,[],[f503,f245]) ).
fof(f505,plain,
~ spl12_11,
inference(avatar_contradiction_clause,[],[f504]) ).
fof(f509,plain,
( spl12_15
| spl12_16
| ~ spl12_10 ),
inference(avatar_split_clause,[],[f463,f448,f484,f480]) ).
fof(f546,plain,
( n1 = sK3(n0,filling,n2)
| n0 = sK3(n0,filling,n2)
| ~ spl12_15 ),
inference(resolution,[],[f482,f433]) ).
fof(f548,definition,
( spl12_22
<=> n0 = sK3(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_22])],[avatar_definition]) ).
fof(f550,plain,
( n0 = sK3(n0,filling,n2)
| ~ spl12_22 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f552,definition,
( spl12_23
<=> n1 = sK3(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_23])],[avatar_definition]) ).
fof(f554,plain,
( n1 = sK3(n0,filling,n2)
| ~ spl12_23 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f555,plain,
( spl12_22
| spl12_23
| ~ spl12_15 ),
inference(avatar_split_clause,[],[f546,f480,f552,f548]) ).
fof(f556,plain,
( n3 = n2
| ~ spl12_2
| ~ spl12_16 ),
inference(resolution,[],[f486,f331]) ).
fof(f571,plain,
( less(n3,n3)
| ~ spl12_2
| ~ spl12_16 ),
inference(superposition,[],[f265,f556]) ).
fof(f586,plain,
( $false
| ~ spl12_2
| ~ spl12_16 ),
inference(forward_subsumption_resolution,[],[f571,f250]) ).
fof(f587,plain,
( ~ spl12_2
| ~ spl12_16 ),
inference(avatar_contradiction_clause,[],[f586]) ).
fof(f594,plain,
( less(n0,n0)
| ~ stoppedIn(n0,filling,n2)
| ~ spl12_22 ),
inference(superposition,[],[f127,f550]) ).
fof(f596,plain,
( ~ stoppedIn(n0,filling,n2)
| ~ spl12_22 ),
inference(forward_subsumption_resolution,[],[f594,f250]) ).
fof(f597,plain,
( $false
| ~ spl12_15
| ~ spl12_22 ),
inference(forward_subsumption_resolution,[],[f596,f482]) ).
fof(f598,plain,
( ~ spl12_15
| ~ spl12_22 ),
inference(avatar_contradiction_clause,[],[f597]) ).
fof(f698,plain,
( terminates(sK2(n0,filling,n2),filling,n1)
| ~ stoppedIn(n0,filling,n2)
| ~ spl12_23 ),
inference(superposition,[],[f125,f554]) ).
fof(f699,plain,
( terminates(sK2(n0,filling,n2),filling,n1)
| ~ spl12_15
| ~ spl12_23 ),
inference(forward_subsumption_resolution,[],[f698,f482]) ).
fof(f703,plain,
( ~ happens(sK2(n0,filling,n2),n1)
| ~ holdsAt(filling,n2)
| ~ spl12_15
| ~ spl12_23 ),
inference(resolution,[],[f699,f264]) ).
fof(f704,plain,
( overflow = sK2(n0,filling,n2)
| tapOff = sK2(n0,filling,n2)
| ~ spl12_15
| ~ spl12_23 ),
inference(resolution,[],[f699,f162]) ).
fof(f707,definition,
( spl12_27
<=> tapOff = sK2(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_27])],[avatar_definition]) ).
fof(f709,plain,
( tapOff = sK2(n0,filling,n2)
| ~ spl12_27 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f711,definition,
( spl12_28
<=> overflow = sK2(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_28])],[avatar_definition]) ).
fof(f713,plain,
( overflow = sK2(n0,filling,n2)
| ~ spl12_28 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f714,plain,
( spl12_27
| spl12_28
| ~ spl12_15
| ~ spl12_23 ),
inference(avatar_split_clause,[],[f704,f552,f480,f711,f707]) ).
fof(f715,plain,
( ~ happens(sK2(n0,filling,n2),n1)
| ~ spl12_3
| ~ spl12_15
| ~ spl12_23 ),
inference(forward_subsumption_resolution,[],[f703,f274]) ).
fof(f721,definition,
( spl12_30
<=> happens(sK2(n0,filling,n2),n1) ),
introduced(definition,[new_symbols(definition,[spl12_30])],[avatar_definition]) ).
fof(f723,plain,
( ~ happens(sK2(n0,filling,n2),n1)
| spl12_30 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f725,plain,
( ~ spl12_30
| ~ spl12_3
| ~ spl12_15
| ~ spl12_23 ),
inference(avatar_split_clause,[],[f715,f552,f480,f272,f721]) ).
fof(f726,plain,
( ~ happens(tapOff,n1)
| ~ spl12_27
| spl12_30 ),
inference(forward_demodulation,[],[f723,f709]) ).
fof(f796,plain,
( happens(sK2(n0,filling,n2),n1)
| ~ stoppedIn(n0,filling,n2)
| ~ spl12_23 ),
inference(superposition,[],[f128,f554]) ).
fof(f797,plain,
( happens(sK2(n0,filling,n2),n1)
| ~ spl12_15
| ~ spl12_23 ),
inference(forward_subsumption_resolution,[],[f796,f482]) ).
fof(f798,plain,
( happens(tapOff,n1)
| ~ spl12_15
| ~ spl12_23
| ~ spl12_27 ),
inference(forward_demodulation,[],[f797,f709]) ).
fof(f799,plain,
( $false
| ~ spl12_15
| ~ spl12_23
| ~ spl12_27
| spl12_30 ),
inference(forward_subsumption_resolution,[],[f798,f726]) ).
fof(f800,plain,
( ~ spl12_15
| ~ spl12_23
| ~ spl12_27
| spl12_30 ),
inference(avatar_contradiction_clause,[],[f799]) ).
fof(f801,plain,
( ~ happens(overflow,n1)
| ~ spl12_28
| spl12_30 ),
inference(forward_demodulation,[],[f723,f713]) ).
fof(f802,plain,
( happens(overflow,n1)
| ~ spl12_15
| ~ spl12_23
| ~ spl12_28 ),
inference(forward_demodulation,[],[f797,f713]) ).
fof(f803,plain,
( $false
| ~ spl12_15
| ~ spl12_23
| ~ spl12_28
| spl12_30 ),
inference(forward_subsumption_resolution,[],[f802,f801]) ).
fof(f804,plain,
( ~ spl12_15
| ~ spl12_23
| ~ spl12_28
| spl12_30 ),
inference(avatar_contradiction_clause,[],[f803]) ).
cnf(s1,plain,
( spl12_1
| spl12_2 ),
inference(sat_conversion,[],[f261]) ).
cnf(s2,plain,
( spl12_1
| spl12_3 ),
inference(sat_conversion,[],[f275]) ).
cnf(s3,plain,
~ spl12_1,
inference(sat_conversion,[],[f325]) ).
cnf(s7,plain,
( spl12_10
| spl12_11 ),
inference(sat_conversion,[],[f453]) ).
cnf(s12,plain,
~ spl12_11,
inference(sat_conversion,[],[f505]) ).
cnf(s16,plain,
( ~ spl12_10
| spl12_15
| spl12_16 ),
inference(sat_conversion,[],[f509]) ).
cnf(s20,plain,
( ~ spl12_15
| spl12_22
| spl12_23 ),
inference(sat_conversion,[],[f555]) ).
cnf(s23,plain,
( ~ spl12_2
| ~ spl12_16 ),
inference(sat_conversion,[],[f587]) ).
cnf(s25,plain,
( ~ spl12_15
| ~ spl12_22 ),
inference(sat_conversion,[],[f598]) ).
cnf(s27,plain,
( ~ spl12_15
| ~ spl12_23
| spl12_27
| spl12_28 ),
inference(sat_conversion,[],[f714]) ).
cnf(s29,plain,
( ~ spl12_3
| ~ spl12_15
| ~ spl12_23
| ~ spl12_30 ),
inference(sat_conversion,[],[f725]) ).
cnf(s30,plain,
( ~ spl12_15
| ~ spl12_23
| ~ spl12_27
| spl12_30 ),
inference(sat_conversion,[],[f800]) ).
cnf(s31,plain,
( ~ spl12_15
| ~ spl12_23
| ~ spl12_28
| spl12_30 ),
inference(sat_conversion,[],[f804]) ).
cnf(s36,plain,
spl12_10,
inference(rat,[],[s7,s12]) ).
cnf(s39,plain,
spl12_3,
inference(rat,[],[s2,s3]) ).
cnf(s40,plain,
spl12_2,
inference(rat,[],[s1,s3]) ).
cnf(s41,plain,
~ spl12_16,
inference(rat,[],[s23,s40]) ).
cnf(s42,plain,
spl12_15,
inference(rat,[],[s16,s36,s41]) ).
cnf(s43,plain,
~ spl12_22,
inference(rat,[],[s25,s42]) ).
cnf(s44,plain,
spl12_23,
inference(rat,[],[s20,s42,s43]) ).
cnf(s45,plain,
~ spl12_30,
inference(rat,[],[s29,s42,s39,s44]) ).
cnf(s46,plain,
~ spl12_28,
inference(rat,[],[s31,s44,s42,s45]) ).
cnf(s47,plain,
~ spl12_27,
inference(rat,[],[s30,s44,s42,s45]) ).
cnf(s48,plain,
$false,
inference(rat,[],[s27,s44,s42,s46,s47]) ).
fof(f805,plain,
$false,
inference(avatar_sat_refutation,[],[s48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR013+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n018.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 22:08:10 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 4.47/1.36 % (3846797)Detected formulas, will run a generic FOF schedule.
% 4.47/1.36 % (3846802)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=490202123:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.47/1.36 % (3846808)dis-21_1_sil=8000:lcm=predicate:random_seed=2994017630: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)
% 4.47/1.36 % (3846805)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1506583361:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.47/1.36 % (3846807)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3679579783:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.47/1.36 % (3846803)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=4151646173:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.47/1.36 % (3846806)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=116236014:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.47/1.36 % (3846804)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=3108619957:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.47/1.36 % (3846805)Refutation not found, incomplete strategy
% 4.47/1.36 % (3846805)------------------------------
% 4.47/1.36 % (3846805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.36 % (3846805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.36 % (3846805)CaDiCaL version: 2.1.3
% 4.47/1.36 % (3846805)Termination reason: Refutation not found, incomplete strategy
% 4.47/1.36 % (3846805)Time elapsed: 0.002 s
% 4.47/1.36 % (3846805)Peak memory usage: 88 MB
% 4.47/1.36 % (3846805)Instructions burned: 1 (million)
% 4.47/1.36 % (3846806)Refutation not found, incomplete strategy
% 4.47/1.36 % (3846806)------------------------------
% 4.47/1.36 % (3846806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.36 % (3846806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.36 % (3846806)CaDiCaL version: 2.1.3
% 4.47/1.36 % (3846806)Termination reason: Refutation not found, incomplete strategy
% 4.47/1.36 % (3846806)Time elapsed: 0.007 s
% 4.47/1.36 % (3846806)Peak memory usage: 88 MB
% 4.47/1.36 % (3846806)Instructions burned: 9 (million)
% 4.47/1.36 % (3846808)Instruction limit reached!
% 4.47/1.36 % (3846808)------------------------------
% 4.47/1.36 % (3846808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.36 % (3846808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.36 % (3846808)CaDiCaL version: 2.1.3
% 4.47/1.36 % (3846808)Termination reason: Instruction limit
% 4.47/1.36 % (3846808)Termination phase: Saturation
% 4.47/1.36 % (3846808)Time elapsed: 0.075 s
% 4.47/1.36 % (3846808)Peak memory usage: 89 MB
% 4.47/1.36 % (3846808)Instructions burned: 130 (million)
% 4.47/1.36 % (3846807)Instruction limit reached!
% 4.47/1.36 % (3846807)------------------------------
% 4.47/1.36 % (3846807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.36 % (3846807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.36 % (3846807)CaDiCaL version: 2.1.3
% 4.47/1.36 % (3846807)Termination reason: Instruction limit
% 4.47/1.36 % (3846807)Termination phase: Saturation
% 4.47/1.36 % (3846807)Time elapsed: 0.102 s
% 4.47/1.36 % (3846807)Peak memory usage: 90 MB
% 4.47/1.36 % (3846807)Instructions burned: 140 (million)
% 4.47/1.36 % (3846805)------------------------------
% 4.47/1.36 % (3846805)------------------------------
% 4.47/1.36 % (3846806)------------------------------
% 4.47/1.36 % (3846806)------------------------------
% 4.47/1.36 % (3846816)lrs+10_1_sil=8000:sp=occurrence:random_seed=3260630144:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.47/1.36 % (3846817)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1631301693:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.47/1.36 % (3846817)Refutation not found, incomplete strategy
% 4.47/1.36 % (3846817)------------------------------
% 4.47/1.36 % (3846817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.36 % (3846817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.36 % (3846817)CaDiCaL version: 2.1.3
% 4.47/1.36 % (3846817)Termination reason: Refutation not found, incomplete strategy
% 4.47/1.36 % (3846817)Time elapsed: 0.003 s
% 4.47/1.36 % (3846817)Peak memory usage: 89 MB
% 4.47/1.36 % (3846817)Instructions burned: 3 (million)
% 4.47/1.36 % (3846802)First to succeed.
% 4.47/1.36 % (3846802)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3846797"
% 4.47/1.36 % (3846816)Instruction limit reached!
% 4.47/1.36 % (3846816)------------------------------
% 4.47/1.36 % (3846816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.36 % (3846816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.36 % (3846816)CaDiCaL version: 2.1.3
% 4.47/1.36 % (3846816)Termination reason: Instruction limit
% 4.47/1.36 % (3846816)Termination phase: Saturation
% 4.47/1.36 % (3846816)Time elapsed: 0.154 s
% 4.47/1.36 % (3846816)Peak memory usage: 90 MB
% 4.47/1.36 % (3846816)Instructions burned: 286 (million)
% 4.47/1.36 % (3846819)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1489010589:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.47/1.36 % (3846820)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=1408393697:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.47/1.36 % (3846802)Refutation found. Thanks to Tanya!
% 4.47/1.36 % SZS status Theorem for theBenchmark
% 4.47/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 5.43/1.46 % (3846802)------------------------------
% 5.43/1.46 % (3846802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.43/1.46 % (3846802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.43/1.46 % (3846802)CaDiCaL version: 2.1.3
% 5.43/1.46 % (3846802)Termination reason: Refutation
% 5.43/1.46 % (3846802)Time elapsed: 0.412 s
% 5.43/1.46 % (3846802)Peak memory usage: 130 MB
% 5.43/1.46 % (3846802)Instructions burned: 1020 (million)
% 5.43/1.46 % (3846802)------------------------------
% 5.43/1.46 % (3846802)------------------------------
% 5.43/1.46 % (3846797)Success in time 0.698 s
% 5.43/1.46 % Vampire exiting
%------------------------------------------------------------------------------