%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR011+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 : n002.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 7.19s 1.85s
% Output : Refutation 8.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 35
% Syntax : Number of formulae : 226 ( 48 unt; 17 def)
% Number of atoms : 629 ( 139 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 670 ( 267 ~; 297 |; 74 &)
% ( 27 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 27 ( 25 usr; 16 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-3 aty)
% Number of variables : 219 ( 0 sgn 206 !; 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(f9,axiom,
! [X0,X1,X2] :
( ( happens(X0,X1)
& initiates(X0,X2,X1) )
=> holdsAt(X2,plus(X1,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_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/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(f50,axiom,
~ holdsAt(filling,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_filling_0) ).
fof(f55,conjecture,
~ stoppedIn(n0,filling,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_stopped_filling_0_3) ).
fof(f56,negated_conjecture,
~ ~ stoppedIn(n0,filling,n3),
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,
stoppedIn(n0,filling,n3),
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(f74,plain,
! [X0,X1,X2] :
( holdsAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f75,plain,
! [X0,X1,X2] :
( holdsAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1) ),
inference(flattening,[],[f74]) ).
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(f137,plain,
! [X2,X0,X1] :
( ~ initiates(X0,X2,X1)
| ~ happens(X0,X1)
| holdsAt(X2,plus(X1,n1)) ),
inference(cnf_transformation,[],[f75]) ).
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(f204,plain,
! [X0] :
( ~ less(X0,n3)
| less_or_equal(X0,n2) ),
inference(cnf_transformation,[],[f115]) ).
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(f222,plain,
~ holdsAt(filling,n0),
inference(cnf_transformation,[],[f50]) ).
fof(f227,plain,
stoppedIn(n0,filling,n3),
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(f259,plain,
! [X2,X0,X1] :
( holdsAt(waterLevel(n3),sK3(X0,X1,X2))
| n0 = sK3(X0,X1,X2)
| ~ stoppedIn(X0,X1,X2) ),
inference(resolution,[],[f169,f127]) ).
fof(f260,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n3),n2)
| ~ stoppedIn(X0,X1,n3) ),
inference(resolution,[],[f204,f125]) ).
fof(f264,plain,
! [X0,X1] :
( less(sK3(X0,X1,n3),n2)
| n2 = sK3(X0,X1,n3)
| ~ stoppedIn(X0,X1,n3) ),
inference(resolution,[],[f260,f196]) ).
fof(f265,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n1),n0)
| ~ stoppedIn(X0,X1,n1) ),
inference(resolution,[],[f200,f125]) ).
fof(f270,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,[],[f245,f128]) ).
fof(f275,plain,
less(n0,n1),
inference(resolution,[],[f247,f201]) ).
fof(f276,plain,
less(n1,n2),
inference(resolution,[],[f247,f203]) ).
fof(f278,plain,
less(n2,n3),
inference(resolution,[],[f247,f205]) ).
fof(f284,plain,
less_or_equal(n0,n1),
inference(resolution,[],[f198,f275]) ).
fof(f307,plain,
~ less(n2,n1),
inference(resolution,[],[f219,f276]) ).
fof(f314,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n3),n1)
| n2 = sK3(X0,X1,n3)
| ~ stoppedIn(X0,X1,n3) ),
inference(resolution,[],[f202,f264]) ).
fof(f315,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n2),n1)
| ~ stoppedIn(X0,X1,n2) ),
inference(resolution,[],[f202,f125]) ).
fof(f333,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,[],[f270,f221]) ).
fof(f335,definition,
( spl11_3
<=> ! [X1] :
( ~ less(n0,X1)
| stoppedIn(n0,filling,plus(n0,X1))
| holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
fof(f336,plain,
( ! [X1] :
( holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1))
| stoppedIn(n0,filling,plus(n0,X1))
| ~ less(n0,X1) )
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f335]) ).
fof(f338,definition,
( spl11_4
<=> ! [X0] :
( ~ happens(X0,n0)
| ~ initiates(X0,filling,n0) ) ),
introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition]) ).
fof(f339,plain,
( ! [X0] :
( ~ initiates(X0,filling,n0)
| ~ happens(X0,n0) )
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f340,plain,
( spl11_3
| spl11_4 ),
inference(avatar_split_clause,[],[f333,f338,f335]) ).
fof(f341,plain,
! [X0] :
( holdsAt(filling,plus(X0,n1))
| ~ happens(tapOn,X0) ),
inference(resolution,[],[f233,f137]) ).
fof(f345,plain,
( holdsAt(filling,n1)
| ~ happens(tapOn,n0) ),
inference(superposition,[],[f341,f186]) ).
fof(f348,plain,
holdsAt(filling,n1),
inference(forward_subsumption_resolution,[],[f345,f243]) ).
fof(f352,plain,
! [X0,X1] :
( less(sK3(X0,X1,n2),n1)
| n1 = sK3(X0,X1,n2)
| ~ stoppedIn(X0,X1,n2) ),
inference(resolution,[],[f315,f196]) ).
fof(f358,plain,
! [X0,X1] :
( less(sK3(X0,X1,n3),n1)
| ~ stoppedIn(X0,X1,n3)
| n1 = sK3(X0,X1,n3)
| n2 = sK3(X0,X1,n3) ),
inference(resolution,[],[f314,f196]) ).
fof(f364,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n1)
| n0 = sK3(X0,X1,n1)
| less(sK3(X0,X1,n1),n0) ),
inference(resolution,[],[f265,f196]) ).
fof(f365,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n1)
| n0 = sK3(X0,X1,n1) ),
inference(forward_subsumption_resolution,[],[f364,f199]) ).
fof(f366,plain,
less(n0,n2),
inference(resolution,[],[f284,f203]) ).
fof(f372,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n2),n0)
| ~ stoppedIn(X0,X1,n2)
| n1 = sK3(X0,X1,n2) ),
inference(resolution,[],[f352,f200]) ).
fof(f458,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,[],[f372,f196]) ).
fof(f459,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n2)
| n1 = sK3(X0,X1,n2)
| n0 = sK3(X0,X1,n2) ),
inference(forward_subsumption_resolution,[],[f458,f199]) ).
fof(f463,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n3),n0)
| n1 = sK3(X0,X1,n3)
| n2 = sK3(X0,X1,n3)
| ~ stoppedIn(X0,X1,n3) ),
inference(resolution,[],[f358,f200]) ).
fof(f468,plain,
! [X0,X1] :
( n1 = sK3(X0,X1,n3)
| n2 = sK3(X0,X1,n3)
| ~ stoppedIn(X0,X1,n3)
| n0 = sK3(X0,X1,n3)
| less(sK3(X0,X1,n3),n0) ),
inference(resolution,[],[f463,f196]) ).
fof(f469,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n3)
| n2 = sK3(X0,X1,n3)
| n1 = sK3(X0,X1,n3)
| n0 = sK3(X0,X1,n3) ),
inference(forward_subsumption_resolution,[],[f468,f199]) ).
fof(f470,plain,
( n2 = sK3(n0,filling,n3)
| n1 = sK3(n0,filling,n3)
| n0 = sK3(n0,filling,n3) ),
inference(resolution,[],[f469,f227]) ).
fof(f472,definition,
( spl11_9
<=> n0 = sK3(n0,filling,n3) ),
introduced(definition,[new_symbols(definition,[spl11_9])],[avatar_definition]) ).
fof(f474,plain,
( n0 = sK3(n0,filling,n3)
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f476,definition,
( spl11_10
<=> n1 = sK3(n0,filling,n3) ),
introduced(definition,[new_symbols(definition,[spl11_10])],[avatar_definition]) ).
fof(f478,plain,
( n1 = sK3(n0,filling,n3)
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f480,definition,
( spl11_11
<=> n2 = sK3(n0,filling,n3) ),
introduced(definition,[new_symbols(definition,[spl11_11])],[avatar_definition]) ).
fof(f482,plain,
( n2 = sK3(n0,filling,n3)
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f483,plain,
( spl11_9
| spl11_10
| spl11_11 ),
inference(avatar_split_clause,[],[f470,f480,f476,f472]) ).
fof(f491,plain,
( less(n0,n0)
| ~ stoppedIn(n0,filling,n3)
| ~ spl11_9 ),
inference(superposition,[],[f126,f474]) ).
fof(f497,plain,
( ~ stoppedIn(n0,filling,n3)
| ~ spl11_9 ),
inference(forward_subsumption_resolution,[],[f491,f248]) ).
fof(f499,plain,
( $false
| ~ spl11_9 ),
inference(forward_subsumption_resolution,[],[f497,f227]) ).
fof(f500,plain,
~ spl11_9,
inference(avatar_contradiction_clause,[],[f499]) ).
fof(f508,plain,
( holdsAt(waterLevel(n3),n1)
| n0 = n1
| ~ stoppedIn(n0,filling,n3)
| ~ spl11_10 ),
inference(superposition,[],[f259,f478]) ).
fof(f514,plain,
( holdsAt(waterLevel(n3),n1)
| n0 = n1
| ~ spl11_10 ),
inference(forward_subsumption_resolution,[],[f508,f227]) ).
fof(f518,definition,
( spl11_12
<=> n0 = n1 ),
introduced(definition,[new_symbols(definition,[spl11_12])],[avatar_definition]) ).
fof(f519,plain,
( n0 != n1
| spl11_12 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f520,plain,
( n0 = n1
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f522,definition,
( spl11_13
<=> holdsAt(waterLevel(n3),n1) ),
introduced(definition,[new_symbols(definition,[spl11_13])],[avatar_definition]) ).
fof(f523,plain,
( ~ holdsAt(waterLevel(n3),n1)
| spl11_13 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f524,plain,
( holdsAt(waterLevel(n3),n1)
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f525,plain,
( spl11_12
| spl11_13
| ~ spl11_10 ),
inference(avatar_split_clause,[],[f514,f476,f522,f518]) ).
fof(f531,plain,
( holdsAt(waterLevel(n3),n2)
| n0 = n2
| ~ stoppedIn(n0,filling,n3)
| ~ spl11_11 ),
inference(superposition,[],[f259,f482]) ).
fof(f537,plain,
( holdsAt(waterLevel(n3),n2)
| n0 = n2
| ~ spl11_11 ),
inference(forward_subsumption_resolution,[],[f531,f227]) ).
fof(f541,definition,
( spl11_14
<=> n0 = n2 ),
introduced(definition,[new_symbols(definition,[spl11_14])],[avatar_definition]) ).
fof(f543,plain,
( n0 = n2
| ~ spl11_14 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f546,definition,
( spl11_15
<=> holdsAt(waterLevel(n3),n2) ),
introduced(definition,[new_symbols(definition,[spl11_15])],[avatar_definition]) ).
fof(f548,plain,
( holdsAt(waterLevel(n3),n2)
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f549,plain,
( spl11_14
| spl11_15
| ~ spl11_11 ),
inference(avatar_split_clause,[],[f537,f480,f546,f541]) ).
fof(f571,plain,
( ~ holdsAt(filling,n1)
| ~ spl11_12 ),
inference(superposition,[],[f222,f520]) ).
fof(f597,plain,
( $false
| ~ spl11_12 ),
inference(forward_subsumption_resolution,[],[f571,f348]) ).
fof(f598,plain,
~ spl11_12,
inference(avatar_contradiction_clause,[],[f597]) ).
fof(f648,plain,
( less(n2,n1)
| ~ spl11_14 ),
inference(superposition,[],[f275,f543]) ).
fof(f662,plain,
( $false
| ~ spl11_14 ),
inference(forward_subsumption_resolution,[],[f648,f307]) ).
fof(f663,plain,
~ spl11_14,
inference(avatar_contradiction_clause,[],[f662]) ).
fof(f696,plain,
( ! [X0] :
( ~ holdsAt(waterLevel(X0),n1)
| n3 = X0 )
| ~ spl11_13 ),
inference(resolution,[],[f524,f176]) ).
fof(f717,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| ~ less(n0,n1)
| ~ spl11_3 ),
inference(superposition,[],[f336,f186]) ).
fof(f721,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| ~ spl11_3 ),
inference(forward_subsumption_resolution,[],[f717,f275]) ).
fof(f724,definition,
( spl11_20
<=> stoppedIn(n0,filling,n1) ),
introduced(definition,[new_symbols(definition,[spl11_20])],[avatar_definition]) ).
fof(f726,plain,
( stoppedIn(n0,filling,n1)
| ~ spl11_20 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f728,definition,
( spl11_21
<=> holdsAt(waterLevel(n1),n1) ),
introduced(definition,[new_symbols(definition,[spl11_21])],[avatar_definition]) ).
fof(f730,plain,
( holdsAt(waterLevel(n1),n1)
| ~ spl11_21 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f738,plain,
( ~ happens(tapOn,n0)
| ~ spl11_4 ),
inference(resolution,[],[f339,f233]) ).
fof(f739,plain,
( $false
| ~ spl11_4 ),
inference(forward_subsumption_resolution,[],[f738,f243]) ).
fof(f740,plain,
~ spl11_4,
inference(avatar_contradiction_clause,[],[f739]) ).
fof(f742,plain,
( spl11_20
| spl11_21
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f721,f335,f728,f724]) ).
fof(f743,plain,
( n0 = sK3(n0,filling,n1)
| ~ spl11_20 ),
inference(resolution,[],[f726,f365]) ).
fof(f747,plain,
( less(n0,n0)
| ~ stoppedIn(n0,filling,n1)
| ~ spl11_20 ),
inference(superposition,[],[f126,f743]) ).
fof(f753,plain,
( ~ stoppedIn(n0,filling,n1)
| ~ spl11_20 ),
inference(forward_subsumption_resolution,[],[f747,f248]) ).
fof(f755,plain,
( $false
| ~ spl11_20 ),
inference(forward_subsumption_resolution,[],[f753,f726]) ).
fof(f756,plain,
~ spl11_20,
inference(avatar_contradiction_clause,[],[f755]) ).
fof(f757,plain,
( n1 = n3
| ~ spl11_13
| ~ spl11_21 ),
inference(resolution,[],[f730,f696]) ).
fof(f774,plain,
( less(n2,n1)
| ~ spl11_13
| ~ spl11_21 ),
inference(superposition,[],[f278,f757]) ).
fof(f796,plain,
( $false
| ~ spl11_13
| ~ spl11_21 ),
inference(forward_subsumption_resolution,[],[f774,f307]) ).
fof(f797,plain,
( ~ spl11_13
| ~ spl11_21 ),
inference(avatar_contradiction_clause,[],[f796]) ).
fof(f814,plain,
( ! [X0] :
( ~ holdsAt(waterLevel(X0),n2)
| n3 = X0 )
| ~ spl11_15 ),
inference(resolution,[],[f548,f176]) ).
fof(f917,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| ~ less(n0,n2)
| ~ spl11_3 ),
inference(superposition,[],[f336,f187]) ).
fof(f922,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| ~ spl11_3 ),
inference(forward_subsumption_resolution,[],[f917,f366]) ).
fof(f924,definition,
( spl11_27
<=> stoppedIn(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl11_27])],[avatar_definition]) ).
fof(f926,plain,
( stoppedIn(n0,filling,n2)
| ~ spl11_27 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f928,definition,
( spl11_28
<=> holdsAt(waterLevel(n2),n2) ),
introduced(definition,[new_symbols(definition,[spl11_28])],[avatar_definition]) ).
fof(f930,plain,
( holdsAt(waterLevel(n2),n2)
| ~ spl11_28 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f931,plain,
( spl11_27
| spl11_28
| ~ spl11_3 ),
inference(avatar_split_clause,[],[f922,f335,f928,f924]) ).
fof(f932,plain,
( n1 = sK3(n0,filling,n2)
| n0 = sK3(n0,filling,n2)
| ~ spl11_27 ),
inference(resolution,[],[f926,f459]) ).
fof(f939,definition,
( spl11_30
<=> n0 = sK3(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl11_30])],[avatar_definition]) ).
fof(f941,plain,
( n0 = sK3(n0,filling,n2)
| ~ spl11_30 ),
inference(avatar_component_clause,[],[f939]) ).
fof(f944,definition,
( spl11_31
<=> n1 = sK3(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl11_31])],[avatar_definition]) ).
fof(f946,plain,
( n1 = sK3(n0,filling,n2)
| ~ spl11_31 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f947,plain,
( spl11_30
| spl11_31
| ~ spl11_27 ),
inference(avatar_split_clause,[],[f932,f924,f944,f939]) ).
fof(f948,plain,
( n3 = n2
| ~ spl11_15
| ~ spl11_28 ),
inference(resolution,[],[f930,f814]) ).
fof(f965,plain,
( less(n2,n2)
| ~ spl11_15
| ~ spl11_28 ),
inference(superposition,[],[f278,f948]) ).
fof(f987,plain,
( $false
| ~ spl11_15
| ~ spl11_28 ),
inference(forward_subsumption_resolution,[],[f965,f248]) ).
fof(f988,plain,
( ~ spl11_15
| ~ spl11_28 ),
inference(avatar_contradiction_clause,[],[f987]) ).
fof(f998,plain,
( less(n0,n0)
| ~ stoppedIn(n0,filling,n2)
| ~ spl11_30 ),
inference(superposition,[],[f126,f941]) ).
fof(f1008,plain,
( ~ stoppedIn(n0,filling,n2)
| ~ spl11_30 ),
inference(forward_subsumption_resolution,[],[f998,f248]) ).
fof(f1020,plain,
( $false
| ~ spl11_27
| ~ spl11_30 ),
inference(forward_subsumption_resolution,[],[f1008,f926]) ).
fof(f1021,plain,
( ~ spl11_27
| ~ spl11_30 ),
inference(avatar_contradiction_clause,[],[f1020]) ).
fof(f1028,plain,
( holdsAt(waterLevel(n3),n1)
| n0 = n1
| ~ stoppedIn(n0,filling,n2)
| ~ spl11_31 ),
inference(superposition,[],[f259,f946]) ).
fof(f1036,plain,
( n0 = n1
| ~ stoppedIn(n0,filling,n2)
| spl11_13
| ~ spl11_31 ),
inference(forward_subsumption_resolution,[],[f1028,f523]) ).
fof(f1040,plain,
( ~ stoppedIn(n0,filling,n2)
| spl11_12
| spl11_13
| ~ spl11_31 ),
inference(forward_subsumption_resolution,[],[f1036,f519]) ).
fof(f1044,plain,
( $false
| spl11_12
| spl11_13
| ~ spl11_27
| ~ spl11_31 ),
inference(forward_subsumption_resolution,[],[f1040,f926]) ).
fof(f1045,plain,
( spl11_12
| spl11_13
| ~ spl11_27
| ~ spl11_31 ),
inference(avatar_contradiction_clause,[],[f1044]) ).
cnf(s2,plain,
( spl11_3
| spl11_4 ),
inference(sat_conversion,[],[f340]) ).
cnf(s6,plain,
( spl11_9
| spl11_10
| spl11_11 ),
inference(sat_conversion,[],[f483]) ).
cnf(s7,plain,
~ spl11_9,
inference(sat_conversion,[],[f500]) ).
cnf(s8,plain,
( ~ spl11_10
| spl11_12
| spl11_13 ),
inference(sat_conversion,[],[f525]) ).
cnf(s10,plain,
( ~ spl11_11
| spl11_14
| spl11_15 ),
inference(sat_conversion,[],[f549]) ).
cnf(s13,plain,
~ spl11_12,
inference(sat_conversion,[],[f598]) ).
cnf(s20,plain,
~ spl11_14,
inference(sat_conversion,[],[f663]) ).
cnf(s26,plain,
~ spl11_4,
inference(sat_conversion,[],[f740]) ).
cnf(s28,plain,
( ~ spl11_3
| spl11_20
| spl11_21 ),
inference(sat_conversion,[],[f742]) ).
cnf(s29,plain,
~ spl11_20,
inference(sat_conversion,[],[f756]) ).
cnf(s33,plain,
( ~ spl11_13
| ~ spl11_21 ),
inference(sat_conversion,[],[f797]) ).
cnf(s36,plain,
( ~ spl11_3
| spl11_27
| spl11_28 ),
inference(sat_conversion,[],[f931]) ).
cnf(s38,plain,
( ~ spl11_27
| spl11_30
| spl11_31 ),
inference(sat_conversion,[],[f947]) ).
cnf(s40,plain,
( ~ spl11_15
| ~ spl11_28 ),
inference(sat_conversion,[],[f988]) ).
cnf(s43,plain,
( ~ spl11_27
| ~ spl11_30 ),
inference(sat_conversion,[],[f1021]) ).
cnf(s45,plain,
( spl11_12
| spl11_13
| ~ spl11_27
| ~ spl11_31 ),
inference(sat_conversion,[],[f1045]) ).
cnf(s47,plain,
( ~ spl11_3
| spl11_21 ),
inference(rat,[],[s28,s29]) ).
cnf(s52,plain,
( ~ spl11_11
| spl11_15 ),
inference(rat,[],[s10,s20]) ).
cnf(s54,plain,
( ~ spl11_10
| spl11_13 ),
inference(rat,[],[s8,s13]) ).
cnf(s55,plain,
( spl11_10
| spl11_11 ),
inference(rat,[],[s6,s7]) ).
cnf(s56,plain,
spl11_3,
inference(rat,[],[s2,s26]) ).
cnf(s57,plain,
spl11_21,
inference(rat,[],[s47,s56]) ).
cnf(s59,plain,
~ spl11_13,
inference(rat,[],[s33,s57]) ).
cnf(s60,plain,
~ spl11_10,
inference(rat,[],[s54,s59]) ).
cnf(s61,plain,
spl11_11,
inference(rat,[],[s55,s60]) ).
cnf(s63,plain,
spl11_15,
inference(rat,[],[s52,s61]) ).
cnf(s64,plain,
~ spl11_28,
inference(rat,[],[s40,s63]) ).
cnf(s65,plain,
spl11_27,
inference(rat,[],[s36,s56,s64]) ).
cnf(s66,plain,
~ spl11_30,
inference(rat,[],[s43,s65]) ).
cnf(s68,plain,
~ spl11_31,
inference(rat,[],[s45,s59,s13,s65]) ).
cnf(s69,plain,
$false,
inference(rat,[],[s38,s65,s68,s66]) ).
fof(f1048,plain,
$false,
inference(avatar_sat_refutation,[],[s69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR011+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n002.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 22:08:22 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.19/1.85 % (828150)Detected formulas, will run a generic FOF schedule.
% 7.19/1.85 % (828179)dis-21_1_sil=8000:lcm=predicate:random_seed=2022125592:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 7.19/1.85 % (828173)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=939196317:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.19/1.85 % (828174)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=3478992420:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.19/1.85 % (828175)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=2774851226:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.19/1.85 % (828179)Instruction limit reached!
% 7.19/1.85 % (828179)------------------------------
% 7.19/1.85 % (828179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/1.85 % (828179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.85 % (828179)CaDiCaL version: 2.1.3
% 7.19/1.85 % (828179)Termination reason: Instruction limit
% 7.19/1.85 % (828179)Termination phase: Saturation
% 7.19/1.85 % (828179)Time elapsed: 0.060 s
% 7.19/1.85 % (828179)Peak memory usage: 89 MB
% 7.19/1.85 % (828179)Instructions burned: 131 (million)
% 7.19/1.85 % (828177)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2482639827:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.19/1.85 % (828176)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=359991124:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.19/1.85 % (828178)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3598359889:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.19/1.85 % (828176)Refutation not found, incomplete strategy
% 7.19/1.85 % (828176)------------------------------
% 7.19/1.85 % (828176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/1.85 % (828176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.85 % (828176)CaDiCaL version: 2.1.3
% 7.19/1.85 % (828176)Termination reason: Refutation not found, incomplete strategy
% 7.19/1.85 % (828176)Time elapsed: 0.001 s
% 7.19/1.85 % (828176)Peak memory usage: 88 MB
% 7.19/1.85 % (828176)Instructions burned: 1 (million)
% 7.19/1.85 % (828177)Refutation not found, incomplete strategy
% 7.19/1.85 % (828177)------------------------------
% 7.19/1.85 % (828177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/1.85 % (828177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.85 % (828177)CaDiCaL version: 2.1.3
% 7.19/1.85 % (828177)Termination reason: Refutation not found, incomplete strategy
% 7.19/1.85 % (828177)Time elapsed: 0.006 s
% 7.19/1.85 % (828177)Peak memory usage: 88 MB
% 7.19/1.85 % (828177)Instructions burned: 8 (million)
% 7.19/1.85 % (828178)Instruction limit reached!
% 7.19/1.85 % (828178)------------------------------
% 7.19/1.85 % (828178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/1.85 % (828178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.85 % (828178)CaDiCaL version: 2.1.3
% 7.19/1.85 % (828178)Termination reason: Instruction limit
% 7.19/1.85 % (828178)Termination phase: Saturation
% 7.19/1.85 % (828178)Time elapsed: 0.098 s
% 7.19/1.85 % (828178)Peak memory usage: 90 MB
% 7.19/1.85 % (828178)Instructions burned: 139 (million)
% 7.19/1.85 % (828190)lrs+10_1_sil=8000:sp=occurrence:random_seed=2614110802:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.19/1.85 % (828190)Instruction limit reached!
% 7.19/1.85 % (828190)------------------------------
% 7.19/1.85 % (828190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/1.85 % (828190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.85 % (828190)CaDiCaL version: 2.1.3
% 7.19/1.85 % (828190)Termination reason: Instruction limit
% 7.19/1.85 % (828190)Termination phase: Saturation
% 7.19/1.85 % (828190)Time elapsed: 0.087 s
% 7.19/1.85 % (828190)Peak memory usage: 90 MB
% 7.19/1.85 % (828190)Instructions burned: 289 (million)
% 7.19/1.85 % (828191)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2734563624:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 7.19/1.85 % (828191)Refutation not found, incomplete strategy
% 7.19/1.85 % (828191)------------------------------
% 7.19/1.85 % (828191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/1.85 % (828191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.85 % (828191)CaDiCaL version: 2.1.3
% 7.19/1.85 % (828191)Termination reason: Refutation not found, incomplete strategy
% 7.19/1.85 % (828191)Time elapsed: 0.002 s
% 7.19/1.85 % (828191)Peak memory usage: 88 MB
% 7.19/1.85 % (828191)Instructions burned: 1 (million)
% 7.19/1.85 % (828176)------------------------------
% 7.19/1.85 % (828176)------------------------------
% 7.19/1.85 % (828177)------------------------------
% 7.19/1.85 % (828177)------------------------------
% 7.19/1.85 % (828195)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3751224977:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 7.19/1.85 % (828197)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2764871608:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 7.19/1.85 % (828196)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=679845990:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.19/1.85 % (828195)Instruction limit reached!
% 7.19/1.85 % (828195)------------------------------
% 7.19/1.85 % (828195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/1.85 % (828195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.85 % (828195)CaDiCaL version: 2.1.3
% 7.19/1.85 % (828195)Termination reason: Instruction limit
% 7.19/1.85 % (828195)Termination phase: Saturation
% 7.19/1.85 % (828195)Time elapsed: 0.107 s
% 7.19/1.85 % (828195)Peak memory usage: 91 MB
% 7.19/1.85 % (828195)Instructions burned: 325 (million)
% 7.19/1.85 % (828191)------------------------------
% 7.19/1.85 % (828191)------------------------------
% 7.19/1.85 % (828268)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3856897504:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.19/1.85 % (828196)Instruction limit reached!
% 7.19/1.85 % (828196)------------------------------
% 7.19/1.85 % (828196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/1.85 % (828196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.85 % (828196)CaDiCaL version: 2.1.3
% 7.19/1.85 % (828196)Termination reason: Instruction limit
% 7.19/1.85 % (828196)Termination phase: Saturation
% 7.19/1.85 % (828196)Time elapsed: 0.149 s
% 7.19/1.85 % (828196)Peak memory usage: 90 MB
% 7.19/1.85 % (828196)Instructions burned: 249 (million)
% 7.19/1.85 % (828197)Instruction limit reached!
% 7.19/1.85 % (828197)------------------------------
% 7.19/1.85 % (828197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/1.85 % (828197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.85 % (828197)CaDiCaL version: 2.1.3
% 7.19/1.85 % (828197)Termination reason: Instruction limit
% 7.19/1.85 % (828197)Termination phase: Saturation
% 7.19/1.85 % (828197)Time elapsed: 0.173 s
% 7.19/1.85 % (828197)Peak memory usage: 89 MB
% 7.19/1.85 % (828197)Instructions burned: 296 (million)
% 7.19/1.85 % (828290)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=615993594:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 7.19/1.85 % (828173)First to succeed.
% 7.19/1.85 % (828173)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-828150"
% 7.19/1.85 % (828304)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=54518678:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 7.19/1.85 % (828174)Also succeeded, but the first one will report.
% 7.19/1.85 % (828310)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=576029722:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.19/1.85 % (828290)Instruction limit reached!
% 7.19/1.85 % (828290)------------------------------
% 7.19/1.85 % (828290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/1.85 % (828290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.85 % (828290)CaDiCaL version: 2.1.3
% 7.19/1.85 % (828290)Termination reason: Instruction limit
% 7.19/1.85 % (828290)Termination phase: Saturation
% 7.19/1.85 % (828290)Time elapsed: 0.080 s
% 7.19/1.85 % (828290)Peak memory usage: 90 MB
% 7.19/1.85 % (828290)Instructions burned: 113 (million)
% 7.19/1.85 % (828310)Refutation not found, incomplete strategy
% 7.19/1.85 % (828310)------------------------------
% 7.19/1.85 % (828310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/1.85 % (828310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.85 % (828310)CaDiCaL version: 2.1.3
% 7.19/1.85 % (828310)Termination reason: Refutation not found, incomplete strategy
% 7.19/1.85 % (828310)Time elapsed: 0.015 s
% 7.19/1.85 % (828310)Peak memory usage: 88 MB
% 7.19/1.85 % (828310)Instructions burned: 20 (million)
% 7.19/1.85 % (828304)Instruction limit reached!
% 7.19/1.85 % (828304)------------------------------
% 7.19/1.85 % (828304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/1.85 % (828304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.85 % (828304)CaDiCaL version: 2.1.3
% 7.19/1.85 % (828304)Termination reason: Instruction limit
% 7.19/1.85 % (828304)Termination phase: Saturation
% 7.19/1.85 % (828304)Time elapsed: 0.062 s
% 7.19/1.85 % (828304)Peak memory usage: 89 MB
% 7.19/1.85 % (828304)Instructions burned: 128 (million)
% 7.19/1.85 % (828334)lrs+10_1_sil=8000:sp=occurrence:random_seed=3125140099:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 7.19/1.85 % (828354)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1749694775:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 7.19/1.85 % (828354)Refutation not found, incomplete strategy
% 7.19/1.85 % (828354)------------------------------
% 7.19/1.85 % (828354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.19/1.85 % (828354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.19/1.85 % (828354)CaDiCaL version: 2.1.3
% 7.19/1.85 % (828354)Termination reason: Refutation not found, incomplete strategy
% 7.19/1.85 % (828354)Time elapsed: 0.002 s
% 7.19/1.85 % (828354)Peak memory usage: 88 MB
% 7.19/1.85 % (828354)Instructions burned: 2 (million)
% 7.19/1.85 % (828173)Refutation found. Thanks to Tanya!
% 7.19/1.85 % SZS status Theorem for theBenchmark
% 7.19/1.85 % SZS output start Proof for theBenchmark
% See solution above
% 8.83/2.05 % (828173)------------------------------
% 8.83/2.05 % (828173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.83/2.05 % (828173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.83/2.05 % (828173)CaDiCaL version: 2.1.3
% 8.83/2.05 % (828173)Termination reason: Refutation
% 8.83/2.05 % (828173)Time elapsed: 0.726 s
% 8.83/2.05 % (828173)Peak memory usage: 130 MB
% 8.83/2.05 % (828173)Instructions burned: 1041 (million)
% 8.83/2.05 % (828173)------------------------------
% 8.83/2.05 % (828173)------------------------------
% 8.83/2.05 % (828150)Success in time 1.159 s
% 8.83/2.05 % Vampire exiting
%------------------------------------------------------------------------------