%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR007+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 6.77s 1.78s
% Output : Refutation 8.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 29
% Syntax : Number of formulae : 176 ( 42 unt; 13 def)
% Number of atoms : 505 ( 113 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 544 ( 215 ~; 230 |; 73 &)
% ( 22 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 11 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-3 aty)
% Number of variables : 188 ( 0 sgn 175 !; 13 ?)
% 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/sandbox/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/sandbox/benchmark/theBenchmark.p',change_holding) ).
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/sandbox/benchmark/theBenchmark.p',initiates_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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',same_waterLevel) ).
fof(f27,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).
fof(f28,axiom,
plus(n0,n2) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_2) ).
fof(f37,axiom,
! [X0,X1] :
( less_or_equal(X0,X1)
<=> ( less(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).
fof(f38,axiom,
~ ? [X0] : less(X0,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less0) ).
fof(f39,axiom,
! [X0] :
( less(X0,n1)
<=> less_or_equal(X0,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less1) ).
fof(f40,axiom,
! [X0] :
( less(X0,n2)
<=> less_or_equal(X0,n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less2) ).
fof(f41,axiom,
! [X0] :
( less(X0,n3)
<=> less_or_equal(X0,n2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less3) ).
fof(f48,axiom,
! [X0,X1] :
( less(X0,X1)
<=> ( ~ less(X1,X0)
& X1 != X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
fof(f49,axiom,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_0) ).
fof(f55,conjecture,
~ holdsAt(waterLevel(n3),n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterlevel_not_3) ).
fof(f56,negated_conjecture,
~ ~ holdsAt(waterLevel(n3),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,
holdsAt(waterLevel(n3),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(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(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(f125,plain,
! [X2,X0,X1] :
( less(sK3(X0,X1,X2),X2)
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f126,plain,
! [X2,X0,X1] :
( less(X0,sK3(X0,X1,X2))
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f127,plain,
! [X2,X0,X1] :
( happens(sK2(X0,X1,X2),sK3(X0,X1,X2))
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f128,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(f157,plain,
! [X2,X0,X1] :
( initiates(X0,X1,X2)
| tapOn != X0
| filling != X1 ),
inference(cnf_transformation,[],[f102]) ).
fof(f169,plain,
! [X0,X1] :
( ~ happens(X0,X1)
| holdsAt(waterLevel(n3),X1)
| n0 = X1 ),
inference(cnf_transformation,[],[f109]) ).
fof(f174,plain,
! [X0,X1] :
( happens(X0,X1)
| tapOn != X0
| n0 != X1 ),
inference(cnf_transformation,[],[f109]) ).
fof(f175,plain,
! [X2,X3,X0,X1] :
( trajectory(filling,X1,waterLevel(X2),X3)
| ~ holdsAt(waterLevel(X0),X1)
| plus(X0,X3) != X2 ),
inference(cnf_transformation,[],[f83]) ).
fof(f176,plain,
! [X2,X0,X1] :
( ~ holdsAt(waterLevel(X2),X0)
| ~ holdsAt(waterLevel(X1),X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f85]) ).
fof(f186,plain,
n1 = plus(n0,n1),
inference(cnf_transformation,[],[f27]) ).
fof(f187,plain,
n2 = plus(n0,n2),
inference(cnf_transformation,[],[f28]) ).
fof(f196,plain,
! [X0,X1] :
( ~ less_or_equal(X0,X1)
| X0 = X1
| less(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f197,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f112]) ).
fof(f198,plain,
! [X0,X1] :
( ~ less(X0,X1)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f199,plain,
! [X0] : ~ less(X0,n0),
inference(cnf_transformation,[],[f86]) ).
fof(f200,plain,
! [X0] :
( ~ less(X0,n1)
| less_or_equal(X0,n0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f201,plain,
! [X0] :
( ~ less_or_equal(X0,n0)
| less(X0,n1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f202,plain,
! [X0] :
( ~ less(X0,n2)
| less_or_equal(X0,n1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f203,plain,
! [X0] :
( ~ less_or_equal(X0,n1)
| less(X0,n2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f205,plain,
! [X0] :
( ~ less_or_equal(X0,n2)
| less(X0,n3) ),
inference(cnf_transformation,[],[f115]) ).
fof(f218,plain,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f219,plain,
! [X0,X1] :
( ~ less(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f221,plain,
holdsAt(waterLevel(n0),n0),
inference(cnf_transformation,[],[f49]) ).
fof(f227,plain,
holdsAt(waterLevel(n3),n2),
inference(cnf_transformation,[],[f58]) ).
fof(f232,plain,
! [X2,X1] :
( initiates(tapOn,X1,X2)
| filling != X1 ),
inference(equality_resolution,[],[f157]) ).
fof(f233,plain,
! [X2] : initiates(tapOn,filling,X2),
inference(equality_resolution,[],[f232]) ).
fof(f242,plain,
! [X1] :
( happens(tapOn,X1)
| n0 != X1 ),
inference(equality_resolution,[],[f174]) ).
fof(f243,plain,
happens(tapOn,n0),
inference(equality_resolution,[],[f242]) ).
fof(f245,plain,
! [X3,X0,X1] :
( trajectory(filling,X1,waterLevel(plus(X0,X3)),X3)
| ~ holdsAt(waterLevel(X0),X1) ),
inference(equality_resolution,[],[f175]) ).
fof(f247,plain,
! [X1] : less_or_equal(X1,X1),
inference(equality_resolution,[],[f197]) ).
fof(f248,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f218]) ).
fof(f249,definition,
sF11 = waterLevel(n3),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f250,plain,
waterLevel(n3) = sF11,
inference(reorient_equations,[],[f249]) ).
fof(f251,plain,
holdsAt(sF11,n2),
inference(definition_folding,[],[f227,f250]) ).
fof(f253,plain,
! [X0,X1] :
( ~ holdsAt(waterLevel(X1),X0)
| ~ holdsAt(sF11,X0)
| n3 = X1 ),
inference(superposition,[],[f176,f250]) ).
fof(f267,plain,
less(n2,n3),
inference(resolution,[],[f247,f205]) ).
fof(f268,plain,
less(n1,n2),
inference(resolution,[],[f247,f203]) ).
fof(f273,plain,
less(n0,n1),
inference(resolution,[],[f201,f247]) ).
fof(f276,plain,
less_or_equal(n0,n1),
inference(resolution,[],[f198,f273]) ).
fof(f292,plain,
! [X2,X3,X0,X1] :
( ~ holdsAt(waterLevel(X3),X1)
| ~ initiates(X0,filling,X1)
| ~ less(n0,X2)
| holdsAt(waterLevel(plus(X3,X2)),plus(X1,X2))
| stoppedIn(X1,filling,plus(X1,X2))
| ~ happens(X0,X1) ),
inference(resolution,[],[f128,f245]) ).
fof(f296,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n1),n0)
| ~ stoppedIn(X0,X1,n1) ),
inference(resolution,[],[f125,f200]) ).
fof(f298,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n2),n1)
| ~ stoppedIn(X0,X1,n2) ),
inference(resolution,[],[f125,f202]) ).
fof(f330,plain,
~ less(n2,n1),
inference(resolution,[],[f219,f268]) ).
fof(f334,plain,
! [X0,X1] :
( less(sK3(X0,X1,n2),n1)
| n1 = sK3(X0,X1,n2)
| ~ stoppedIn(X0,X1,n2) ),
inference(resolution,[],[f298,f196]) ).
fof(f352,definition,
( spl12_7
<=> holdsAt(sF11,n1) ),
introduced(definition,[new_symbols(definition,[spl12_7])],[avatar_definition]) ).
fof(f354,plain,
( ~ holdsAt(sF11,n1)
| spl12_7 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f362,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n2),n0)
| ~ stoppedIn(X0,X1,n2)
| n1 = sK3(X0,X1,n2) ),
inference(resolution,[],[f334,f200]) ).
fof(f432,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n1)
| n0 = sK3(X0,X1,n1)
| less(sK3(X0,X1,n1),n0) ),
inference(resolution,[],[f296,f196]) ).
fof(f433,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n1)
| n0 = sK3(X0,X1,n1) ),
inference(forward_subsumption_resolution,[],[f432,f199]) ).
fof(f435,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,[],[f362,f196]) ).
fof(f436,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n2)
| n1 = sK3(X0,X1,n2)
| n0 = sK3(X0,X1,n2) ),
inference(forward_subsumption_resolution,[],[f435,f199]) ).
fof(f455,plain,
less(n0,n2),
inference(resolution,[],[f276,f203]) ).
fof(f519,plain,
! [X0,X1] :
( ~ initiates(X0,filling,n0)
| ~ less(n0,X1)
| holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1))
| stoppedIn(n0,filling,plus(n0,X1))
| ~ happens(X0,n0) ),
inference(resolution,[],[f292,f221]) ).
fof(f523,definition,
( spl12_16
<=> ! [X1] :
( ~ less(n0,X1)
| stoppedIn(n0,filling,plus(n0,X1))
| holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl12_16])],[avatar_definition]) ).
fof(f524,plain,
( ! [X1] :
( holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1))
| stoppedIn(n0,filling,plus(n0,X1))
| ~ less(n0,X1) )
| ~ spl12_16 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f526,definition,
( spl12_17
<=> ! [X0] :
( ~ initiates(X0,filling,n0)
| ~ happens(X0,n0) ) ),
introduced(definition,[new_symbols(definition,[spl12_17])],[avatar_definition]) ).
fof(f527,plain,
( ! [X0] :
( ~ initiates(X0,filling,n0)
| ~ happens(X0,n0) )
| ~ spl12_17 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f528,plain,
( spl12_16
| spl12_17 ),
inference(avatar_split_clause,[],[f519,f526,f523]) ).
fof(f534,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| ~ less(n0,n1)
| ~ spl12_16 ),
inference(superposition,[],[f524,f186]) ).
fof(f536,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| ~ less(n0,n2)
| ~ spl12_16 ),
inference(superposition,[],[f524,f187]) ).
fof(f539,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| ~ spl12_16 ),
inference(forward_subsumption_resolution,[],[f536,f455]) ).
fof(f541,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| ~ spl12_16 ),
inference(forward_subsumption_resolution,[],[f534,f273]) ).
fof(f544,definition,
( spl12_18
<=> stoppedIn(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_18])],[avatar_definition]) ).
fof(f546,plain,
( stoppedIn(n0,filling,n2)
| ~ spl12_18 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f548,definition,
( spl12_19
<=> holdsAt(waterLevel(n2),n2) ),
introduced(definition,[new_symbols(definition,[spl12_19])],[avatar_definition]) ).
fof(f550,plain,
( holdsAt(waterLevel(n2),n2)
| ~ spl12_19 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f566,definition,
( spl12_23
<=> stoppedIn(n0,filling,n1) ),
introduced(definition,[new_symbols(definition,[spl12_23])],[avatar_definition]) ).
fof(f568,plain,
( stoppedIn(n0,filling,n1)
| ~ spl12_23 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f570,definition,
( spl12_24
<=> holdsAt(waterLevel(n1),n1) ),
introduced(definition,[new_symbols(definition,[spl12_24])],[avatar_definition]) ).
fof(f572,plain,
( holdsAt(waterLevel(n1),n1)
| ~ spl12_24 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f580,plain,
( ~ happens(tapOn,n0)
| ~ spl12_17 ),
inference(resolution,[],[f527,f233]) ).
fof(f581,plain,
( $false
| ~ spl12_17 ),
inference(forward_subsumption_resolution,[],[f580,f243]) ).
fof(f582,plain,
~ spl12_17,
inference(avatar_contradiction_clause,[],[f581]) ).
fof(f583,plain,
( spl12_18
| spl12_19
| ~ spl12_16 ),
inference(avatar_split_clause,[],[f539,f523,f548,f544]) ).
fof(f585,plain,
( spl12_23
| spl12_24
| ~ spl12_16 ),
inference(avatar_split_clause,[],[f541,f523,f570,f566]) ).
fof(f595,plain,
( n0 = sK3(n0,filling,n1)
| ~ spl12_23 ),
inference(resolution,[],[f568,f433]) ).
fof(f597,plain,
( less(n0,n0)
| ~ stoppedIn(n0,filling,n1)
| ~ spl12_23 ),
inference(superposition,[],[f126,f595]) ).
fof(f599,plain,
( ~ stoppedIn(n0,filling,n1)
| ~ spl12_23 ),
inference(forward_subsumption_resolution,[],[f597,f248]) ).
fof(f600,plain,
( $false
| ~ spl12_23 ),
inference(forward_subsumption_resolution,[],[f599,f568]) ).
fof(f601,plain,
~ spl12_23,
inference(avatar_contradiction_clause,[],[f600]) ).
fof(f603,plain,
( ~ holdsAt(sF11,n1)
| n1 = n3
| ~ spl12_24 ),
inference(resolution,[],[f572,f253]) ).
fof(f606,definition,
( spl12_26
<=> n1 = n3 ),
introduced(definition,[new_symbols(definition,[spl12_26])],[avatar_definition]) ).
fof(f608,plain,
( n1 = n3
| ~ spl12_26 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f609,plain,
( spl12_26
| ~ spl12_7
| ~ spl12_24 ),
inference(avatar_split_clause,[],[f603,f570,f352,f606]) ).
fof(f635,plain,
( n1 = sK3(n0,filling,n2)
| n0 = sK3(n0,filling,n2)
| ~ spl12_18 ),
inference(resolution,[],[f546,f436]) ).
fof(f637,definition,
( spl12_29
<=> n0 = sK3(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_29])],[avatar_definition]) ).
fof(f638,plain,
( n0 != sK3(n0,filling,n2)
| spl12_29 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f639,plain,
( n0 = sK3(n0,filling,n2)
| ~ spl12_29 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f641,definition,
( spl12_30
<=> n1 = sK3(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_30])],[avatar_definition]) ).
fof(f643,plain,
( n1 = sK3(n0,filling,n2)
| ~ spl12_30 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f644,plain,
( spl12_29
| spl12_30
| ~ spl12_18 ),
inference(avatar_split_clause,[],[f635,f544,f641,f637]) ).
fof(f646,plain,
( ~ holdsAt(sF11,n2)
| n3 = n2
| ~ spl12_19 ),
inference(resolution,[],[f550,f253]) ).
fof(f648,plain,
( n3 = n2
| ~ spl12_19 ),
inference(forward_subsumption_resolution,[],[f646,f251]) ).
fof(f659,plain,
( less(n0,n0)
| ~ stoppedIn(n0,filling,n2)
| ~ spl12_29 ),
inference(superposition,[],[f126,f639]) ).
fof(f661,plain,
( ~ stoppedIn(n0,filling,n2)
| ~ spl12_29 ),
inference(forward_subsumption_resolution,[],[f659,f248]) ).
fof(f662,plain,
( $false
| ~ spl12_18
| ~ spl12_29 ),
inference(forward_subsumption_resolution,[],[f661,f546]) ).
fof(f663,plain,
( ~ spl12_18
| ~ spl12_29 ),
inference(avatar_contradiction_clause,[],[f662]) ).
fof(f668,plain,
( n0 != n1
| spl12_29
| ~ spl12_30 ),
inference(superposition,[],[f638,f643]) ).
fof(f947,plain,
( happens(sK2(n0,filling,n2),n1)
| ~ stoppedIn(n0,filling,n2)
| ~ spl12_30 ),
inference(superposition,[],[f127,f643]) ).
fof(f948,plain,
( happens(sK2(n0,filling,n2),n1)
| ~ spl12_18
| ~ spl12_30 ),
inference(forward_subsumption_resolution,[],[f947,f546]) ).
fof(f953,plain,
( holdsAt(waterLevel(n3),n1)
| n0 = n1
| ~ spl12_18
| ~ spl12_30 ),
inference(resolution,[],[f948,f169]) ).
fof(f954,plain,
( holdsAt(waterLevel(n3),n1)
| ~ spl12_18
| spl12_29
| ~ spl12_30 ),
inference(forward_subsumption_resolution,[],[f953,f668]) ).
fof(f965,plain,
( holdsAt(sF11,n1)
| ~ spl12_18
| spl12_29
| ~ spl12_30 ),
inference(forward_demodulation,[],[f954,f250]) ).
fof(f967,plain,
( $false
| spl12_7
| ~ spl12_18
| spl12_29
| ~ spl12_30 ),
inference(forward_subsumption_resolution,[],[f965,f354]) ).
fof(f968,plain,
( spl12_7
| ~ spl12_18
| spl12_29
| ~ spl12_30 ),
inference(avatar_contradiction_clause,[],[f967]) ).
fof(f992,plain,
( less(n3,n3)
| ~ spl12_19 ),
inference(superposition,[],[f267,f648]) ).
fof(f1026,plain,
( $false
| ~ spl12_19 ),
inference(forward_subsumption_resolution,[],[f992,f248]) ).
fof(f1027,plain,
~ spl12_19,
inference(avatar_contradiction_clause,[],[f1026]) ).
fof(f1053,plain,
( less(n2,n1)
| ~ spl12_26 ),
inference(superposition,[],[f267,f608]) ).
fof(f1074,plain,
( $false
| ~ spl12_26 ),
inference(forward_subsumption_resolution,[],[f1053,f330]) ).
fof(f1075,plain,
~ spl12_26,
inference(avatar_contradiction_clause,[],[f1074]) ).
cnf(s11,plain,
( spl12_16
| spl12_17 ),
inference(sat_conversion,[],[f528]) ).
cnf(s16,plain,
~ spl12_17,
inference(sat_conversion,[],[f582]) ).
cnf(s17,plain,
( ~ spl12_16
| spl12_18
| spl12_19 ),
inference(sat_conversion,[],[f583]) ).
cnf(s19,plain,
( ~ spl12_16
| spl12_23
| spl12_24 ),
inference(sat_conversion,[],[f585]) ).
cnf(s22,plain,
~ spl12_23,
inference(sat_conversion,[],[f601]) ).
cnf(s23,plain,
( ~ spl12_7
| ~ spl12_24
| spl12_26 ),
inference(sat_conversion,[],[f609]) ).
cnf(s25,plain,
( ~ spl12_18
| spl12_29
| spl12_30 ),
inference(sat_conversion,[],[f644]) ).
cnf(s27,plain,
( ~ spl12_18
| ~ spl12_29 ),
inference(sat_conversion,[],[f663]) ).
cnf(s41,plain,
( spl12_7
| ~ spl12_18
| spl12_29
| ~ spl12_30 ),
inference(sat_conversion,[],[f968]) ).
cnf(s44,plain,
~ spl12_19,
inference(sat_conversion,[],[f1027]) ).
cnf(s51,plain,
~ spl12_26,
inference(sat_conversion,[],[f1075]) ).
cnf(s54,plain,
( ~ spl12_7
| ~ spl12_24 ),
inference(rat,[],[s23,s51]) ).
cnf(s56,plain,
( ~ spl12_16
| spl12_24 ),
inference(rat,[],[s19,s22]) ).
cnf(s57,plain,
( ~ spl12_16
| spl12_18 ),
inference(rat,[],[s17,s44]) ).
cnf(s61,plain,
spl12_16,
inference(rat,[],[s11,s16]) ).
cnf(s63,plain,
spl12_24,
inference(rat,[],[s56,s61]) ).
cnf(s64,plain,
spl12_18,
inference(rat,[],[s57,s61]) ).
cnf(s65,plain,
~ spl12_7,
inference(rat,[],[s54,s63]) ).
cnf(s66,plain,
~ spl12_29,
inference(rat,[],[s27,s64]) ).
cnf(s67,plain,
spl12_30,
inference(rat,[],[s25,s64,s66]) ).
cnf(s68,plain,
$false,
inference(rat,[],[s41,s65,s64,s67,s66]) ).
fof(f1077,plain,
$false,
inference(avatar_sat_refutation,[],[s68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR007+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n009.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 22:05:30 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 6.77/1.78 % (3545844)Detected formulas, will run a generic FOF schedule.
% 6.77/1.78 % (3545855)dis-21_1_sil=8000:lcm=predicate:random_seed=891635199: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)
% 6.77/1.78 % (3545849)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=106448740:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.77/1.78 % (3545850)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=3253855612:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.77/1.78 % (3545851)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=355826322:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.77/1.78 % (3545855)Instruction limit reached!
% 6.77/1.78 % (3545855)------------------------------
% 6.77/1.78 % (3545855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.78 % (3545855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.78 % (3545855)CaDiCaL version: 2.1.3
% 6.77/1.78 % (3545855)Termination reason: Instruction limit
% 6.77/1.78 % (3545855)Termination phase: Saturation
% 6.77/1.78 % (3545855)Time elapsed: 0.040 s
% 6.77/1.78 % (3545855)Peak memory usage: 89 MB
% 6.77/1.78 % (3545855)Instructions burned: 129 (million)
% 6.77/1.78 % (3545852)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3425808834:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.77/1.78 % (3545854)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=572026388:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.77/1.78 % (3545853)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1786658494:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.77/1.78 % (3545852)Refutation not found, incomplete strategy
% 6.77/1.78 % (3545852)------------------------------
% 6.77/1.78 % (3545852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.78 % (3545852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.78 % (3545852)CaDiCaL version: 2.1.3
% 6.77/1.78 % (3545852)Termination reason: Refutation not found, incomplete strategy
% 6.77/1.78 % (3545852)Time elapsed: 0.002 s
% 6.77/1.78 % (3545852)Peak memory usage: 88 MB
% 6.77/1.78 % (3545852)Instructions burned: 1 (million)
% 6.77/1.78 % (3545853)Refutation not found, incomplete strategy
% 6.77/1.78 % (3545853)------------------------------
% 6.77/1.78 % (3545853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.78 % (3545853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.78 % (3545853)CaDiCaL version: 2.1.3
% 6.77/1.78 % (3545853)Termination reason: Refutation not found, incomplete strategy
% 6.77/1.78 % (3545853)Time elapsed: 0.006 s
% 6.77/1.78 % (3545853)Peak memory usage: 88 MB
% 6.77/1.78 % (3545853)Instructions burned: 8 (million)
% 6.77/1.78 % (3545860)lrs+10_1_sil=8000:sp=occurrence:random_seed=1149010084:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.77/1.78 % (3545854)Instruction limit reached!
% 6.77/1.78 % (3545854)------------------------------
% 6.77/1.78 % (3545854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.78 % (3545854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.78 % (3545854)CaDiCaL version: 2.1.3
% 6.77/1.78 % (3545854)Termination reason: Instruction limit
% 6.77/1.78 % (3545854)Termination phase: Saturation
% 6.77/1.78 % (3545854)Time elapsed: 0.100 s
% 6.77/1.78 % (3545854)Peak memory usage: 90 MB
% 6.77/1.78 % (3545854)Instructions burned: 139 (million)
% 6.77/1.78 % (3545860)Instruction limit reached!
% 6.77/1.78 % (3545860)------------------------------
% 6.77/1.78 % (3545860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.78 % (3545860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.78 % (3545860)CaDiCaL version: 2.1.3
% 6.77/1.78 % (3545860)Termination reason: Instruction limit
% 6.77/1.78 % (3545860)Termination phase: Saturation
% 6.77/1.78 % (3545860)Time elapsed: 0.081 s
% 6.77/1.78 % (3545860)Peak memory usage: 90 MB
% 6.77/1.78 % (3545860)Instructions burned: 286 (million)
% 6.77/1.78 % (3545865)lrs+10_1_sil=32000:urr=on:br=off:random_seed=112004651:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.77/1.78 % (3545865)Refutation not found, incomplete strategy
% 6.77/1.78 % (3545865)------------------------------
% 6.77/1.78 % (3545865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.78 % (3545865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.78 % (3545865)CaDiCaL version: 2.1.3
% 6.77/1.78 % (3545865)Termination reason: Refutation not found, incomplete strategy
% 6.77/1.78 % (3545865)Time elapsed: 0.002 s
% 6.77/1.78 % (3545865)Peak memory usage: 88 MB
% 6.77/1.78 % (3545865)Instructions burned: 1 (million)
% 6.77/1.78 % (3545852)------------------------------
% 6.77/1.78 % (3545852)------------------------------
% 6.77/1.78 % (3545853)------------------------------
% 6.77/1.78 % (3545853)------------------------------
% 6.77/1.78 % (3545866)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1878029903:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 6.77/1.78 % (3545866)Instruction limit reached!
% 6.77/1.78 % (3545866)------------------------------
% 6.77/1.78 % (3545866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.78 % (3545866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.78 % (3545866)CaDiCaL version: 2.1.3
% 6.77/1.78 % (3545866)Termination reason: Instruction limit
% 6.77/1.78 % (3545866)Termination phase: Saturation
% 6.77/1.78 % (3545866)Time elapsed: 0.110 s
% 6.77/1.78 % (3545866)Peak memory usage: 91 MB
% 6.77/1.78 % (3545866)Instructions burned: 325 (million)
% 6.77/1.78 % (3545869)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1978684023:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.77/1.78 % (3545868)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=2822311410:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.77/1.78 % (3545865)------------------------------
% 6.77/1.78 % (3545865)------------------------------
% 6.77/1.78 % (3545871)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2845028237:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.77/1.78 % (3545868)Instruction limit reached!
% 6.77/1.78 % (3545868)------------------------------
% 6.77/1.78 % (3545868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.78 % (3545868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.78 % (3545868)CaDiCaL version: 2.1.3
% 6.77/1.78 % (3545868)Termination reason: Instruction limit
% 6.77/1.78 % (3545868)Termination phase: Saturation
% 6.77/1.78 % (3545868)Time elapsed: 0.144 s
% 6.77/1.78 % (3545868)Peak memory usage: 90 MB
% 6.77/1.78 % (3545868)Instructions burned: 249 (million)
% 6.77/1.78 % (3545869)Instruction limit reached!
% 6.77/1.78 % (3545869)------------------------------
% 6.77/1.78 % (3545869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.78 % (3545869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.78 % (3545869)CaDiCaL version: 2.1.3
% 6.77/1.78 % (3545869)Termination reason: Instruction limit
% 6.77/1.78 % (3545869)Termination phase: Saturation
% 6.77/1.78 % (3545869)Time elapsed: 0.171 s
% 6.77/1.78 % (3545869)Peak memory usage: 89 MB
% 6.77/1.78 % (3545869)Instructions burned: 295 (million)
% 6.77/1.78 % (3545851)Refutation not found, incomplete strategy
% 6.77/1.78 % (3545851)------------------------------
% 6.77/1.78 % (3545851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.78 % (3545851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.78 % (3545851)CaDiCaL version: 2.1.3
% 6.77/1.78 % (3545851)Termination reason: Refutation not found, incomplete strategy
% 6.77/1.78 % (3545851)Time elapsed: 0.609 s
% 6.77/1.78 % (3545851)Peak memory usage: 128 MB
% 6.77/1.78 % (3545851)Instructions burned: 901 (million)
% 6.77/1.78 % (3545875)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3084800008:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.77/1.78 % (3545875)Refutation not found, incomplete strategy
% 6.77/1.78 % (3545875)------------------------------
% 6.77/1.78 % (3545875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.78 % (3545875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.78 % (3545875)CaDiCaL version: 2.1.3
% 6.77/1.78 % (3545875)Termination reason: Refutation not found, incomplete strategy
% 6.77/1.78 % (3545875)Time elapsed: 0.003 s
% 6.77/1.78 % (3545875)Peak memory usage: 88 MB
% 6.77/1.78 % (3545875)Instructions burned: 2 (million)
% 6.77/1.78 % (3545876)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=172703009:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.77/1.78 % (3545877)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3606021075:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.77/1.78 % (3545849)First to succeed.
% 6.77/1.78 % (3545877)Refutation not found, incomplete strategy
% 6.77/1.78 % (3545877)------------------------------
% 6.77/1.78 % (3545877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.78 % (3545877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.78 % (3545877)CaDiCaL version: 2.1.3
% 6.77/1.78 % (3545877)Termination reason: Refutation not found, incomplete strategy
% 6.77/1.78 % (3545877)Time elapsed: 0.018 s
% 6.77/1.78 % (3545877)Peak memory usage: 88 MB
% 6.77/1.78 % (3545877)Instructions burned: 28 (million)
% 6.77/1.78 % (3545849)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3545844"
% 6.77/1.78 % (3545850)Also succeeded, but the first one will report.
% 6.77/1.78 % (3545876)Instruction limit reached!
% 6.77/1.78 % (3545876)------------------------------
% 6.77/1.78 % (3545876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.78 % (3545876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.78 % (3545876)CaDiCaL version: 2.1.3
% 6.77/1.78 % (3545876)Termination reason: Instruction limit
% 6.77/1.78 % (3545876)Termination phase: Saturation
% 6.77/1.78 % (3545876)Time elapsed: 0.063 s
% 6.77/1.78 % (3545876)Peak memory usage: 89 MB
% 6.77/1.78 % (3545876)Instructions burned: 127 (million)
% 6.77/1.78 % (3545851)------------------------------
% 6.77/1.78 % (3545851)------------------------------
% 6.77/1.78 % (3545875)------------------------------
% 6.77/1.78 % (3545875)------------------------------
% 6.77/1.78 % (3545881)lrs+10_1_sil=8000:sp=occurrence:random_seed=201289589:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.77/1.78 % (3545877)------------------------------
% 6.77/1.78 % (3545877)------------------------------
% 6.77/1.78 % (3545849)Refutation found. Thanks to Tanya!
% 6.77/1.78 % SZS status Theorem for theBenchmark
% 6.77/1.78 % SZS output start Proof for theBenchmark
% See solution above
% 8.51/1.97 % (3545849)------------------------------
% 8.51/1.97 % (3545849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.51/1.97 % (3545849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.51/1.97 % (3545849)CaDiCaL version: 2.1.3
% 8.51/1.97 % (3545849)Termination reason: Refutation
% 8.51/1.97 % (3545849)Time elapsed: 0.731 s
% 8.51/1.97 % (3545849)Peak memory usage: 130 MB
% 8.51/1.97 % (3545849)Instructions burned: 1060 (million)
% 8.51/1.97 % (3545849)------------------------------
% 8.51/1.97 % (3545849)------------------------------
% 8.51/1.97 % (3545844)Success in time 1.124 s
% 8.51/1.97 % Vampire exiting
%------------------------------------------------------------------------------