%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR008+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 7.10s 1.90s
% Output : Refutation 9.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 37
% Syntax : Number of formulae : 225 ( 47 unt; 16 def)
% Number of atoms : 660 ( 117 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 730 ( 295 ~; 318 |; 84 &)
% ( 25 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 14 prp; 0-4 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-3 aty)
% Number of variables : 251 ( 0 sgn 235 !; 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(f5,axiom,
! [X0,X1] :
( ( holdsAt(X0,X1)
& ~ releasedAt(X0,plus(X1,n1))
& ~ ? [X2] :
( happens(X2,X1)
& terminates(X2,X0,X1) ) )
=> holdsAt(X0,plus(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',keep_holding) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( happens(X0,X1)
& initiates(X0,X2,X1) )
=> holdsAt(X2,plus(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_holds) ).
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(f12,axiom,
! [X0,X1,X2] :
( ( happens(X0,X1)
& ( initiates(X0,X2,X1)
| terminates(X0,X2,X1) ) )
=> ~ releasedAt(X2,plus(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_not_released) ).
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(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(f27,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_1) ).
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,
holdsAt(waterLevel(n2),n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_2) ).
fof(f56,negated_conjecture,
~ holdsAt(waterLevel(n2),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(n2),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(f66,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1)
| releasedAt(X0,plus(X1,n1))
| ? [X2] :
( happens(X2,X1)
& terminates(X2,X0,X1) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f67,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1)
| releasedAt(X0,plus(X1,n1))
| ? [X2] :
( happens(X2,X1)
& terminates(X2,X0,X1) ) ),
inference(flattening,[],[f66]) ).
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(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(f80,plain,
! [X0,X1,X2] :
( ~ releasedAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ( ~ initiates(X0,X2,X1)
& ~ terminates(X0,X2,X1) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ~ releasedAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ( ~ initiates(X0,X2,X1)
& ~ terminates(X0,X2,X1) ) ),
inference(flattening,[],[f80]) ).
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(f91,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1)
| releasedAt(X0,plus(X1,n1))
| ( happens(sK4(X0,X1),X1)
& terminates(sK4(X0,X1),X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f67]) ).
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(f124,plain,
! [X2,X0,X1] :
( terminates(sK2(X0,X1,X2),X1,sK3(X0,X1,X2))
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
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(f130,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| happens(sK4(X0,X1),X1)
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ~ initiates(X0,X2,X1)
| ~ happens(X0,X1)
| holdsAt(X2,plus(X1,n1)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ terminates(X0,X2,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ releasedAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ terminates(X0,X2,X1) ),
inference(cnf_transformation,[],[f81]) ).
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(f189,plain,
n2 = plus(n1,n1),
inference(cnf_transformation,[],[f30]) ).
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(f220,plain,
! [X0,X1] :
( less(X1,X0)
| less(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f123]) ).
fof(f221,plain,
holdsAt(waterLevel(n0),n0),
inference(cnf_transformation,[],[f49]) ).
fof(f227,plain,
~ holdsAt(waterLevel(n2),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(n2),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f250,plain,
waterLevel(n2) = sF11,
inference(reorient_equations,[],[f249]) ).
fof(f251,plain,
~ holdsAt(sF11,n2),
inference(definition_folding,[],[f227,f250]) ).
fof(f256,plain,
less(n1,n2),
inference(resolution,[],[f247,f203]) ).
fof(f258,plain,
less(n2,n3),
inference(resolution,[],[f247,f205]) ).
fof(f261,plain,
less(n0,n1),
inference(resolution,[],[f201,f247]) ).
fof(f264,plain,
less_or_equal(n0,n1),
inference(resolution,[],[f198,f261]) ).
fof(f265,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(f282,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n1),n0)
| ~ stoppedIn(X0,X1,n1) ),
inference(resolution,[],[f125,f200]) ).
fof(f284,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n2),n1)
| ~ stoppedIn(X0,X1,n2) ),
inference(resolution,[],[f125,f202]) ).
fof(f291,plain,
! [X0] :
( less(n0,X0)
| n0 = X0 ),
inference(resolution,[],[f220,f199]) ).
fof(f306,definition,
( spl12_1
<=> n0 = n2 ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
fof(f308,plain,
( n0 = n2
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f319,plain,
~ less(n2,n1),
inference(resolution,[],[f219,f256]) ).
fof(f324,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,[],[f265,f221]) ).
fof(f327,definition,
( spl12_3
<=> ! [X1] :
( ~ less(n0,X1)
| stoppedIn(n0,filling,plus(n0,X1))
| holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition]) ).
fof(f328,plain,
( ! [X1] :
( holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1))
| stoppedIn(n0,filling,plus(n0,X1))
| ~ less(n0,X1) )
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f330,definition,
( spl12_4
<=> ! [X0] :
( ~ happens(X0,n0)
| ~ initiates(X0,filling,n0) ) ),
introduced(definition,[new_symbols(definition,[spl12_4])],[avatar_definition]) ).
fof(f331,plain,
( ! [X0] :
( ~ initiates(X0,filling,n0)
| ~ happens(X0,n0) )
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f332,plain,
( spl12_3
| spl12_4 ),
inference(avatar_split_clause,[],[f324,f330,f327]) ).
fof(f336,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| ~ less(n0,n1)
| ~ spl12_3 ),
inference(superposition,[],[f328,f186]) ).
fof(f338,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| ~ less(n0,n2)
| ~ spl12_3 ),
inference(superposition,[],[f328,f187]) ).
fof(f341,plain,
( holdsAt(sF11,n2)
| stoppedIn(n0,filling,n2)
| ~ less(n0,n2)
| ~ spl12_3 ),
inference(forward_demodulation,[],[f338,f250]) ).
fof(f355,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| ~ spl12_3 ),
inference(forward_subsumption_resolution,[],[f336,f261]) ).
fof(f356,plain,
( stoppedIn(n0,filling,n2)
| ~ less(n0,n2)
| ~ spl12_3 ),
inference(forward_subsumption_resolution,[],[f341,f251]) ).
fof(f358,definition,
( spl12_8
<=> stoppedIn(n0,filling,n1) ),
introduced(definition,[new_symbols(definition,[spl12_8])],[avatar_definition]) ).
fof(f360,plain,
( stoppedIn(n0,filling,n1)
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f362,definition,
( spl12_9
<=> holdsAt(waterLevel(n1),n1) ),
introduced(definition,[new_symbols(definition,[spl12_9])],[avatar_definition]) ).
fof(f364,plain,
( holdsAt(waterLevel(n1),n1)
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f367,definition,
( spl12_10
<=> less(n0,n2) ),
introduced(definition,[new_symbols(definition,[spl12_10])],[avatar_definition]) ).
fof(f369,plain,
( ~ less(n0,n2)
| spl12_10 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f371,definition,
( spl12_11
<=> stoppedIn(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_11])],[avatar_definition]) ).
fof(f373,plain,
( stoppedIn(n0,filling,n2)
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f379,plain,
! [X0,X1] :
( ~ terminates(X1,X0,n1)
| ~ happens(X1,n1)
| ~ holdsAt(X0,n2) ),
inference(superposition,[],[f138,f189]) ).
fof(f486,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n1)
| n0 = sK3(X0,X1,n1)
| less(sK3(X0,X1,n1),n0) ),
inference(resolution,[],[f282,f196]) ).
fof(f487,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n1)
| n0 = sK3(X0,X1,n1) ),
inference(forward_subsumption_resolution,[],[f486,f199]) ).
fof(f495,plain,
( ~ happens(tapOn,n0)
| ~ spl12_4 ),
inference(resolution,[],[f233,f331]) ).
fof(f496,plain,
! [X0] :
( holdsAt(filling,plus(X0,n1))
| ~ happens(tapOn,X0) ),
inference(resolution,[],[f233,f137]) ).
fof(f501,definition,
( spl12_22
<=> releasedAt(filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_22])],[avatar_definition]) ).
fof(f503,plain,
( ~ releasedAt(filling,n2)
| spl12_22 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f509,plain,
( $false
| ~ spl12_4 ),
inference(forward_subsumption_resolution,[],[f495,f243]) ).
fof(f510,plain,
~ spl12_4,
inference(avatar_contradiction_clause,[],[f509]) ).
fof(f512,plain,
( ~ spl12_10
| spl12_11
| ~ spl12_3 ),
inference(avatar_split_clause,[],[f356,f327,f371,f367]) ).
fof(f513,plain,
( spl12_8
| spl12_9
| ~ spl12_3 ),
inference(avatar_split_clause,[],[f355,f327,f362,f358]) ).
fof(f514,plain,
( n0 = n2
| spl12_10 ),
inference(resolution,[],[f369,f291]) ).
fof(f515,plain,
( spl12_1
| spl12_10 ),
inference(avatar_split_clause,[],[f514,f367,f306]) ).
fof(f532,plain,
( n0 = sK3(n0,filling,n1)
| ~ spl12_8 ),
inference(resolution,[],[f360,f487]) ).
fof(f534,plain,
( less(n0,n0)
| ~ stoppedIn(n0,filling,n1)
| ~ spl12_8 ),
inference(superposition,[],[f126,f532]) ).
fof(f536,plain,
( ~ stoppedIn(n0,filling,n1)
| ~ spl12_8 ),
inference(forward_subsumption_resolution,[],[f534,f248]) ).
fof(f537,plain,
( $false
| ~ spl12_8 ),
inference(forward_subsumption_resolution,[],[f536,f360]) ).
fof(f538,plain,
~ spl12_8,
inference(avatar_contradiction_clause,[],[f537]) ).
fof(f542,plain,
( ! [X0] :
( ~ holdsAt(waterLevel(X0),n1)
| n1 = X0 )
| ~ spl12_9 ),
inference(resolution,[],[f364,f176]) ).
fof(f592,plain,
! [X0,X1] :
( less(sK3(X0,X1,n2),n1)
| n1 = sK3(X0,X1,n2)
| ~ stoppedIn(X0,X1,n2) ),
inference(resolution,[],[f284,f196]) ).
fof(f593,plain,
! [X0,X1] :
( ~ terminates(X1,X0,n1)
| ~ happens(X1,n1)
| ~ releasedAt(X0,n2) ),
inference(superposition,[],[f140,f189]) ).
fof(f601,plain,
less(n0,n2),
inference(resolution,[],[f264,f203]) ).
fof(f603,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n2),n0)
| ~ stoppedIn(X0,X1,n2)
| n1 = sK3(X0,X1,n2) ),
inference(resolution,[],[f592,f200]) ).
fof(f628,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,[],[f603,f196]) ).
fof(f629,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n2)
| n1 = sK3(X0,X1,n2)
| n0 = sK3(X0,X1,n2) ),
inference(forward_subsumption_resolution,[],[f628,f199]) ).
fof(f630,plain,
( n1 = sK3(n0,filling,n2)
| n0 = sK3(n0,filling,n2)
| ~ spl12_11 ),
inference(resolution,[],[f629,f373]) ).
fof(f632,definition,
( spl12_29
<=> n0 = sK3(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_29])],[avatar_definition]) ).
fof(f633,plain,
( n0 != sK3(n0,filling,n2)
| spl12_29 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f634,plain,
( n0 = sK3(n0,filling,n2)
| ~ spl12_29 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f636,definition,
( spl12_30
<=> n1 = sK3(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_30])],[avatar_definition]) ).
fof(f638,plain,
( n1 = sK3(n0,filling,n2)
| ~ spl12_30 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f639,plain,
( spl12_29
| spl12_30
| ~ spl12_11 ),
inference(avatar_split_clause,[],[f630,f371,f636,f632]) ).
fof(f643,plain,
( less(n0,n0)
| ~ spl12_1 ),
inference(forward_demodulation,[],[f601,f308]) ).
fof(f644,plain,
( $false
| ~ spl12_1 ),
inference(forward_subsumption_resolution,[],[f643,f248]) ).
fof(f645,plain,
~ spl12_1,
inference(avatar_contradiction_clause,[],[f644]) ).
fof(f649,plain,
( less(n0,n0)
| ~ stoppedIn(n0,filling,n2)
| ~ spl12_29 ),
inference(superposition,[],[f126,f634]) ).
fof(f651,plain,
( ~ stoppedIn(n0,filling,n2)
| ~ spl12_29 ),
inference(forward_subsumption_resolution,[],[f649,f248]) ).
fof(f652,plain,
( $false
| ~ spl12_11
| ~ spl12_29 ),
inference(forward_subsumption_resolution,[],[f651,f373]) ).
fof(f653,plain,
( ~ spl12_11
| ~ spl12_29 ),
inference(avatar_contradiction_clause,[],[f652]) ).
fof(f661,plain,
( n0 != n1
| spl12_29
| ~ spl12_30 ),
inference(superposition,[],[f633,f638]) ).
fof(f859,plain,
( holdsAt(filling,n1)
| ~ happens(tapOn,n0) ),
inference(superposition,[],[f496,f186]) ).
fof(f862,plain,
holdsAt(filling,n1),
inference(forward_subsumption_resolution,[],[f859,f243]) ).
fof(f896,plain,
( terminates(sK2(n0,filling,n2),filling,n1)
| ~ stoppedIn(n0,filling,n2)
| ~ spl12_30 ),
inference(superposition,[],[f124,f638]) ).
fof(f897,plain,
( terminates(sK2(n0,filling,n2),filling,n1)
| ~ spl12_11
| ~ spl12_30 ),
inference(forward_subsumption_resolution,[],[f896,f373]) ).
fof(f898,plain,
( ~ happens(sK2(n0,filling,n2),n1)
| ~ releasedAt(filling,n2)
| ~ spl12_11
| ~ spl12_30 ),
inference(resolution,[],[f897,f593]) ).
fof(f900,definition,
( spl12_40
<=> happens(sK2(n0,filling,n2),n1) ),
introduced(definition,[new_symbols(definition,[spl12_40])],[avatar_definition]) ).
fof(f902,plain,
( ~ happens(sK2(n0,filling,n2),n1)
| spl12_40 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f903,plain,
( ~ spl12_22
| ~ spl12_40
| ~ spl12_11
| ~ spl12_30 ),
inference(avatar_split_clause,[],[f898,f636,f371,f900,f501]) ).
fof(f961,definition,
( spl12_43
<=> holdsAt(waterLevel(n3),n1) ),
introduced(definition,[new_symbols(definition,[spl12_43])],[avatar_definition]) ).
fof(f962,plain,
( ~ holdsAt(waterLevel(n3),n1)
| spl12_43 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f963,plain,
( holdsAt(waterLevel(n3),n1)
| ~ spl12_43 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f973,plain,
( n1 = n3
| ~ spl12_9
| ~ spl12_43 ),
inference(resolution,[],[f963,f542]) ).
fof(f980,plain,
( less(n2,n1)
| ~ spl12_9
| ~ spl12_43 ),
inference(superposition,[],[f258,f973]) ).
fof(f1001,plain,
( $false
| ~ spl12_9
| ~ spl12_43 ),
inference(forward_subsumption_resolution,[],[f980,f319]) ).
fof(f1002,plain,
( ~ spl12_9
| ~ spl12_43 ),
inference(avatar_contradiction_clause,[],[f1001]) ).
fof(f1091,plain,
( ~ happens(sK2(n0,filling,n2),n1)
| ~ holdsAt(filling,n2)
| ~ spl12_11
| ~ spl12_30 ),
inference(resolution,[],[f379,f897]) ).
fof(f1093,definition,
( spl12_49
<=> holdsAt(filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_49])],[avatar_definition]) ).
fof(f1096,plain,
( ~ spl12_49
| ~ spl12_40
| ~ spl12_11
| ~ spl12_30 ),
inference(avatar_split_clause,[],[f1091,f636,f371,f900,f1093]) ).
fof(f1129,plain,
! [X0] :
( happens(sK4(X0,n1),n1)
| holdsAt(X0,n2)
| releasedAt(X0,n2)
| ~ holdsAt(X0,n1) ),
inference(superposition,[],[f130,f189]) ).
fof(f1147,plain,
! [X0] :
( holdsAt(X0,n2)
| releasedAt(X0,n2)
| ~ holdsAt(X0,n1)
| holdsAt(waterLevel(n3),n1)
| n0 = n1 ),
inference(resolution,[],[f1129,f169]) ).
fof(f1148,plain,
( ! [X0] :
( holdsAt(X0,n2)
| releasedAt(X0,n2)
| ~ holdsAt(X0,n1)
| n0 = n1 )
| spl12_43 ),
inference(forward_subsumption_resolution,[],[f1147,f962]) ).
fof(f1151,plain,
( ! [X0] :
( ~ holdsAt(X0,n1)
| releasedAt(X0,n2)
| holdsAt(X0,n2) )
| spl12_29
| ~ spl12_30
| spl12_43 ),
inference(forward_subsumption_resolution,[],[f1148,f661]) ).
fof(f1152,plain,
( releasedAt(filling,n2)
| holdsAt(filling,n2)
| spl12_29
| ~ spl12_30
| spl12_43 ),
inference(resolution,[],[f1151,f862]) ).
fof(f1163,plain,
( holdsAt(filling,n2)
| spl12_22
| spl12_29
| ~ spl12_30
| spl12_43 ),
inference(forward_subsumption_resolution,[],[f1152,f503]) ).
fof(f1164,plain,
( spl12_49
| spl12_22
| spl12_29
| ~ spl12_30
| spl12_43 ),
inference(avatar_split_clause,[],[f1163,f961,f636,f632,f501,f1093]) ).
fof(f1456,plain,
( happens(sK2(n0,filling,n2),n1)
| ~ stoppedIn(n0,filling,n2)
| ~ spl12_30 ),
inference(superposition,[],[f127,f638]) ).
fof(f1457,plain,
( ~ stoppedIn(n0,filling,n2)
| ~ spl12_30
| spl12_40 ),
inference(forward_subsumption_resolution,[],[f1456,f902]) ).
fof(f1458,plain,
( $false
| ~ spl12_11
| ~ spl12_30
| spl12_40 ),
inference(forward_subsumption_resolution,[],[f1457,f373]) ).
fof(f1459,plain,
( ~ spl12_11
| ~ spl12_30
| spl12_40 ),
inference(avatar_contradiction_clause,[],[f1458]) ).
cnf(s2,plain,
( spl12_3
| spl12_4 ),
inference(sat_conversion,[],[f332]) ).
cnf(s13,plain,
~ spl12_4,
inference(sat_conversion,[],[f510]) ).
cnf(s15,plain,
( ~ spl12_3
| ~ spl12_10
| spl12_11 ),
inference(sat_conversion,[],[f512]) ).
cnf(s16,plain,
( ~ spl12_3
| spl12_8
| spl12_9 ),
inference(sat_conversion,[],[f513]) ).
cnf(s17,plain,
( spl12_1
| spl12_10 ),
inference(sat_conversion,[],[f515]) ).
cnf(s19,plain,
~ spl12_8,
inference(sat_conversion,[],[f538]) ).
cnf(s25,plain,
( ~ spl12_11
| spl12_29
| spl12_30 ),
inference(sat_conversion,[],[f639]) ).
cnf(s26,plain,
~ spl12_1,
inference(sat_conversion,[],[f645]) ).
cnf(s27,plain,
( ~ spl12_11
| ~ spl12_29 ),
inference(sat_conversion,[],[f653]) ).
cnf(s34,plain,
( ~ spl12_11
| ~ spl12_22
| ~ spl12_30
| ~ spl12_40 ),
inference(sat_conversion,[],[f903]) ).
cnf(s42,plain,
( ~ spl12_9
| ~ spl12_43 ),
inference(sat_conversion,[],[f1002]) ).
cnf(s47,plain,
( ~ spl12_11
| ~ spl12_30
| ~ spl12_40
| ~ spl12_49 ),
inference(sat_conversion,[],[f1096]) ).
cnf(s49,plain,
( spl12_22
| spl12_29
| ~ spl12_30
| spl12_43
| spl12_49 ),
inference(sat_conversion,[],[f1164]) ).
cnf(s75,plain,
( ~ spl12_11
| ~ spl12_30
| spl12_40 ),
inference(sat_conversion,[],[f1459]) ).
cnf(s79,plain,
spl12_10,
inference(rat,[],[s17,s26]) ).
cnf(s80,plain,
( ~ spl12_3
| spl12_9 ),
inference(rat,[],[s16,s19]) ).
cnf(s81,plain,
( ~ spl12_3
| spl12_11 ),
inference(rat,[],[s15,s79]) ).
cnf(s87,plain,
spl12_3,
inference(rat,[],[s2,s13]) ).
cnf(s89,plain,
spl12_9,
inference(rat,[],[s80,s87]) ).
cnf(s90,plain,
spl12_11,
inference(rat,[],[s81,s87]) ).
cnf(s91,plain,
~ spl12_43,
inference(rat,[],[s42,s89]) ).
cnf(s92,plain,
~ spl12_29,
inference(rat,[],[s27,s90]) ).
cnf(s94,plain,
spl12_30,
inference(rat,[],[s25,s90,s92]) ).
cnf(s95,plain,
spl12_40,
inference(rat,[],[s75,s90,s94]) ).
cnf(s98,plain,
~ spl12_22,
inference(rat,[],[s34,s95,s90,s94]) ).
cnf(s99,plain,
~ spl12_49,
inference(rat,[],[s47,s94,s90,s95]) ).
cnf(s100,plain,
$false,
inference(rat,[],[s49,s94,s91,s92,s99,s98]) ).
fof(f1460,plain,
$false,
inference(avatar_sat_refutation,[],[s100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR008+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n018.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 22:07:40 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 7.10/1.90 % (3845890)Detected formulas, will run a generic FOF schedule.
% 7.10/1.90 % (3845897)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=468696600:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.10/1.90 % (3845895)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=1650806292:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.10/1.90 % (3845899)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3253549915:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.10/1.90 % (3845896)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=1291164474:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.10/1.90 % (3845898)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2503254912:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.10/1.90 % (3845900)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2768109090:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.10/1.90 % (3845901)dis-21_1_sil=8000:lcm=predicate:random_seed=569570660: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)
% 7.10/1.90 % (3845898)Refutation not found, incomplete strategy
% 7.10/1.90 % (3845898)------------------------------
% 7.10/1.90 % (3845898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.90 % (3845898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.90 % (3845898)CaDiCaL version: 2.1.3
% 7.10/1.90 % (3845898)Termination reason: Refutation not found, incomplete strategy
% 7.10/1.90 % (3845898)Time elapsed: 0.002 s
% 7.10/1.90 % (3845898)Peak memory usage: 88 MB
% 7.10/1.90 % (3845898)Instructions burned: 1 (million)
% 7.10/1.90 % (3845899)Refutation not found, incomplete strategy
% 7.10/1.90 % (3845899)------------------------------
% 7.10/1.90 % (3845899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.90 % (3845899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.90 % (3845899)CaDiCaL version: 2.1.3
% 7.10/1.90 % (3845899)Termination reason: Refutation not found, incomplete strategy
% 7.10/1.90 % (3845899)Time elapsed: 0.006 s
% 7.10/1.90 % (3845899)Peak memory usage: 88 MB
% 7.10/1.90 % (3845899)Instructions burned: 7 (million)
% 7.10/1.90 % (3845901)Instruction limit reached!
% 7.10/1.90 % (3845901)------------------------------
% 7.10/1.90 % (3845901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.90 % (3845901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.90 % (3845901)CaDiCaL version: 2.1.3
% 7.10/1.90 % (3845901)Termination reason: Instruction limit
% 7.10/1.90 % (3845901)Termination phase: Saturation
% 7.10/1.90 % (3845901)Time elapsed: 0.074 s
% 7.10/1.90 % (3845901)Peak memory usage: 89 MB
% 7.10/1.90 % (3845901)Instructions burned: 129 (million)
% 7.10/1.90 % (3845900)Instruction limit reached!
% 7.10/1.90 % (3845900)------------------------------
% 7.10/1.90 % (3845900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.90 % (3845900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.90 % (3845900)CaDiCaL version: 2.1.3
% 7.10/1.90 % (3845900)Termination reason: Instruction limit
% 7.10/1.90 % (3845900)Termination phase: Saturation
% 7.10/1.90 % (3845900)Time elapsed: 0.099 s
% 7.10/1.90 % (3845900)Peak memory usage: 90 MB
% 7.10/1.90 % (3845900)Instructions burned: 140 (million)
% 7.10/1.90 % (3845909)lrs+10_1_sil=8000:sp=occurrence:random_seed=4155920239:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.10/1.90 % (3845898)------------------------------
% 7.10/1.90 % (3845898)------------------------------
% 7.10/1.90 % (3845899)------------------------------
% 7.10/1.90 % (3845899)------------------------------
% 7.10/1.90 % (3845910)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3062438188:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.10/1.90 % (3845910)Refutation not found, incomplete strategy
% 7.10/1.90 % (3845910)------------------------------
% 7.10/1.90 % (3845910)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.90 % (3845910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.90 % (3845910)CaDiCaL version: 2.1.3
% 7.10/1.90 % (3845910)Termination reason: Refutation not found, incomplete strategy
% 7.10/1.90 % (3845910)Time elapsed: 0.002 s
% 7.10/1.90 % (3845910)Peak memory usage: 88 MB
% 7.10/1.90 % (3845910)Instructions burned: 1 (million)
% 7.10/1.90 % (3845897)Refutation not found, incomplete strategy
% 7.10/1.90 % (3845897)------------------------------
% 7.10/1.90 % (3845897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.90 % (3845897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.90 % (3845897)CaDiCaL version: 2.1.3
% 7.10/1.90 % (3845897)Termination reason: Refutation not found, incomplete strategy
% 7.10/1.90 % (3845897)Time elapsed: 0.365 s
% 7.10/1.90 % (3845897)Peak memory usage: 128 MB
% 7.10/1.90 % (3845897)Instructions burned: 895 (million)
% 7.10/1.90 % (3845912)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2745189760:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 7.10/1.90 % (3845913)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=2240288423:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.10/1.90 % (3845909)Instruction limit reached!
% 7.10/1.90 % (3845909)------------------------------
% 7.10/1.90 % (3845909)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.90 % (3845909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.90 % (3845909)CaDiCaL version: 2.1.3
% 7.10/1.90 % (3845909)Termination reason: Instruction limit
% 7.10/1.90 % (3845909)Termination phase: Saturation
% 7.10/1.90 % (3845909)Time elapsed: 0.175 s
% 7.10/1.90 % (3845909)Peak memory usage: 90 MB
% 7.10/1.90 % (3845909)Instructions burned: 285 (million)
% 7.10/1.90 % (3845897)------------------------------
% 7.10/1.90 % (3845897)------------------------------
% 7.10/1.90 % (3845910)------------------------------
% 7.10/1.90 % (3845910)------------------------------
% 7.10/1.90 % (3845913)Instruction limit reached!
% 7.10/1.90 % (3845913)------------------------------
% 7.10/1.90 % (3845913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.90 % (3845913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.90 % (3845913)CaDiCaL version: 2.1.3
% 7.10/1.90 % (3845913)Termination reason: Instruction limit
% 7.10/1.90 % (3845913)Termination phase: Saturation
% 7.10/1.90 % (3845913)Time elapsed: 0.144 s
% 7.10/1.90 % (3845913)Peak memory usage: 90 MB
% 7.10/1.90 % (3845913)Instructions burned: 248 (million)
% 7.10/1.90 % (3845917)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3886163934:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 7.10/1.90 % (3845918)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3723422734:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.10/1.90 % (3845912)Instruction limit reached!
% 7.10/1.90 % (3845912)------------------------------
% 7.10/1.90 % (3845912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.90 % (3845912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.90 % (3845912)CaDiCaL version: 2.1.3
% 7.10/1.90 % (3845912)Termination reason: Instruction limit
% 7.10/1.90 % (3845912)Termination phase: Saturation
% 7.10/1.90 % (3845912)Time elapsed: 0.196 s
% 7.10/1.90 % (3845912)Peak memory usage: 90 MB
% 7.10/1.90 % (3845912)Instructions burned: 326 (million)
% 7.10/1.90 % (3845919)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2616003927:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.10/1.90 % (3845919)Refutation not found, incomplete strategy
% 7.10/1.90 % (3845919)------------------------------
% 7.10/1.90 % (3845919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.90 % (3845919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.90 % (3845919)CaDiCaL version: 2.1.3
% 7.10/1.90 % (3845919)Termination reason: Refutation not found, incomplete strategy
% 7.10/1.90 % (3845919)Time elapsed: 0.003 s
% 7.10/1.90 % (3845919)Peak memory usage: 88 MB
% 7.10/1.90 % (3845919)Instructions burned: 2 (million)
% 7.10/1.90 % (3845920)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2114812036:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 7.10/1.90 % (3845917)Instruction limit reached!
% 7.10/1.90 % (3845917)------------------------------
% 7.10/1.90 % (3845917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.90 % (3845917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.90 % (3845917)CaDiCaL version: 2.1.3
% 7.10/1.90 % (3845917)Termination reason: Instruction limit
% 7.10/1.90 % (3845917)Termination phase: Saturation
% 7.10/1.90 % (3845917)Time elapsed: 0.170 s
% 7.10/1.90 % (3845917)Peak memory usage: 89 MB
% 7.10/1.90 % (3845917)Instructions burned: 294 (million)
% 7.10/1.90 % (3845895)First to succeed.
% 7.10/1.90 % (3845920)Instruction limit reached!
% 7.10/1.90 % (3845920)------------------------------
% 7.10/1.90 % (3845920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.90 % (3845920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.90 % (3845920)CaDiCaL version: 2.1.3
% 7.10/1.90 % (3845920)Termination reason: Instruction limit
% 7.10/1.90 % (3845920)Termination phase: Saturation
% 7.10/1.90 % (3845920)Time elapsed: 0.062 s
% 7.10/1.90 % (3845920)Peak memory usage: 89 MB
% 7.10/1.90 % (3845920)Instructions burned: 128 (million)
% 7.10/1.90 % (3845895)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3845890"
% 7.10/1.90 % (3845923)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3944099521:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.10/1.90 % (3845923)Refutation not found, incomplete strategy
% 7.10/1.90 % (3845923)------------------------------
% 7.10/1.90 % (3845923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.90 % (3845923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.90 % (3845923)CaDiCaL version: 2.1.3
% 7.10/1.90 % (3845923)Termination reason: Refutation not found, incomplete strategy
% 7.10/1.90 % (3845923)Time elapsed: 0.018 s
% 7.10/1.90 % (3845923)Peak memory usage: 89 MB
% 7.10/1.90 % (3845923)Instructions burned: 27 (million)
% 7.10/1.90 % (3845896)Also succeeded, but the first one will report.
% 7.10/1.90 % (3845926)lrs+10_1_sil=8000:sp=occurrence:random_seed=118343242:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 7.10/1.90 % (3845919)------------------------------
% 7.10/1.90 % (3845919)------------------------------
% 7.10/1.90 % (3845927)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3512215409:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 7.10/1.90 % (3845927)Refutation not found, incomplete strategy
% 7.10/1.90 % (3845927)------------------------------
% 7.10/1.90 % (3845927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.90 % (3845927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.90 % (3845927)CaDiCaL version: 2.1.3
% 7.10/1.90 % (3845927)Termination reason: Refutation not found, incomplete strategy
% 7.10/1.90 % (3845927)Time elapsed: 0.002 s
% 7.10/1.90 % (3845927)Peak memory usage: 88 MB
% 7.10/1.90 % (3845927)Instructions burned: 1 (million)
% 7.10/1.90 % (3845918)Also succeeded, but the first one will report.
% 7.10/1.90 % (3845923)------------------------------
% 7.10/1.90 % (3845923)------------------------------
% 7.10/1.90 % (3845895)Refutation found. Thanks to Tanya!
% 7.10/1.90 % SZS status Theorem for theBenchmark
% 7.10/1.90 % SZS output start Proof for theBenchmark
% See solution above
% 9.37/2.10 % (3845895)------------------------------
% 9.37/2.10 % (3845895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.37/2.10 % (3845895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.37/2.10 % (3845895)CaDiCaL version: 2.1.3
% 9.37/2.10 % (3845895)Termination reason: Refutation
% 9.37/2.10 % (3845895)Time elapsed: 0.771 s
% 9.37/2.10 % (3845895)Peak memory usage: 129 MB
% 9.37/2.10 % (3845895)Instructions burned: 1112 (million)
% 9.37/2.10 % (3845895)------------------------------
% 9.37/2.10 % (3845895)------------------------------
% 9.37/2.10 % (3845890)Success in time 1.246 s
% 9.37/2.10 % Vampire exiting
%------------------------------------------------------------------------------