%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CSR012+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 09:44:20 AM UTC 2026
% Result : Theorem 2.40s 0.59s
% Output : Refutation 2.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 25
% Syntax : Number of formulae : 137 ( 38 unt; 5 def)
% Number of atoms : 364 ( 56 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 357 ( 130 ~; 167 |; 41 &)
% ( 13 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 6 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-3 aty)
% Number of variables : 191 ( 0 sgn 173 !; 18 ?)
% 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/Axioms/CSR001+0.ax',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/Axioms/CSR001+0.ax',change_holding) ).
fof(f6,axiom,
! [X0,X1] :
( ( ~ holdsAt(X0,X1)
& ~ releasedAt(X0,plus(X1,n1))
& ~ ? [X2] :
( happens(X2,X1)
& initiates(X2,X0,X1) ) )
=> ~ holdsAt(X0,plus(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',keep_not_holding) ).
fof(f8,axiom,
! [X0,X1] :
( ( ~ releasedAt(X0,X1)
& ~ ? [X2] :
( happens(X2,X1)
& releases(X2,X0,X1) ) )
=> ~ releasedAt(X0,plus(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',keep_not_released) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( happens(X0,X1)
& initiates(X0,X2,X1) )
=> holdsAt(X2,plus(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',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/sandbox2/benchmark/Axioms/CSR001+1.ax',initiates_all_defn) ).
fof(f15,axiom,
! [X0,X1,X2] :
( releases(X0,X1,X2)
<=> ? [X3] :
( X0 = tapOn
& X1 = waterLevel(X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',releases_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/Axioms/CSR001+1.ax',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/Axioms/CSR001+1.ax',change_of_waterLevel) ).
fof(f22,axiom,
! [X0] : filling != waterLevel(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',filling_not_waterLevel) ).
fof(f27,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_1) ).
fof(f36,axiom,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_plus) ).
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(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(f50,axiom,
~ holdsAt(filling,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_filling_0) ).
fof(f53,axiom,
~ releasedAt(filling,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_released_filling_0) ).
fof(f55,conjecture,
holdsAt(waterLevel(n1),n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_1) ).
fof(f56,negated_conjecture,
~ holdsAt(waterLevel(n1),n1),
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(n1),n1),
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(f68,plain,
! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| holdsAt(X0,X1)
| releasedAt(X0,plus(X1,n1))
| ? [X2] :
( happens(X2,X1)
& initiates(X2,X0,X1) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f69,plain,
! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| holdsAt(X0,X1)
| releasedAt(X0,plus(X1,n1))
| ? [X2] :
( happens(X2,X1)
& initiates(X2,X0,X1) ) ),
inference(flattening,[],[f68]) ).
fof(f72,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| releasedAt(X0,X1)
| ? [X2] :
( happens(X2,X1)
& releases(X2,X0,X1) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f73,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| releasedAt(X0,X1)
| ? [X2] :
( happens(X2,X1)
& releases(X2,X0,X1) ) ),
inference(flattening,[],[f72]) ).
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(f86,plain,
! [X0] : ~ less(X0,n0),
inference(ennf_transformation,[],[f38]) ).
fof(f88,plain,
! [X2,X0,X1] :
( ~ stoppedIn(X0,X1,X2)
| less(sK1(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f63]) ).
fof(f89,plain,
! [X2,X0,X1] :
( ~ stoppedIn(X0,X1,X2)
| less(X0,sK1(X0,X1,X2)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f91,plain,
! [X2,X3,X0,X1,X4] :
( stoppedIn(X1,X2,plus(X1,X4))
| ~ trajectory(X2,X1,X3,X4)
| ~ less(n0,X4)
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1)
| holdsAt(X3,plus(X1,X4)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f94,plain,
! [X0,X1] :
( initiates(sK3(X0,X1),X0,X1)
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1)
| ~ holdsAt(X0,plus(X1,n1)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f95,plain,
! [X0,X1] :
( happens(sK3(X0,X1),X1)
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1)
| ~ holdsAt(X0,plus(X1,n1)) ),
inference(cnf_transformation,[],[f69]) ).
fof(f98,plain,
! [X0,X1] :
( releases(sK5(X0,X1),X0,X1)
| releasedAt(X0,X1)
| ~ releasedAt(X0,plus(X1,n1)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ initiates(X0,X2,X1)
| ~ happens(X0,X1)
| holdsAt(X2,plus(X1,n1)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f122,plain,
! [X2,X0,X1] :
( filling != X1
| tapOn != X0
| initiates(X0,X1,X2) ),
inference(cnf_transformation,[],[f57]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ releases(X0,X1,X2)
| waterLevel(sK9(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f15]) ).
fof(f134,plain,
! [X0,X1] :
( n0 != X1
| tapOn != X0
| happens(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f142,plain,
! [X2,X3,X0,X1] :
( plus(X0,X3) != X2
| ~ holdsAt(waterLevel(X0),X1)
| trajectory(filling,X1,waterLevel(X2),X3) ),
inference(cnf_transformation,[],[f83]) ).
fof(f147,plain,
! [X0] : filling != waterLevel(X0),
inference(cnf_transformation,[],[f22]) ).
fof(f153,plain,
n1 = plus(n0,n1),
inference(cnf_transformation,[],[f27]) ).
fof(f162,plain,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
inference(cnf_transformation,[],[f36]) ).
fof(f163,plain,
! [X0,X1] :
( X0 = X1
| less(X0,X1)
| ~ less_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f166,plain,
! [X0] : ~ less(X0,n0),
inference(cnf_transformation,[],[f86]) ).
fof(f168,plain,
! [X0] :
( less_or_equal(X0,n0)
| ~ less(X0,n1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f187,plain,
! [X0,X1] :
( X0 = X1
| less(X1,X0)
| less(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f188,plain,
holdsAt(waterLevel(n0),n0),
inference(cnf_transformation,[],[f49]) ).
fof(f189,plain,
~ holdsAt(filling,n0),
inference(cnf_transformation,[],[f50]) ).
fof(f192,plain,
~ releasedAt(filling,n0),
inference(cnf_transformation,[],[f53]) ).
fof(f194,plain,
~ holdsAt(waterLevel(n1),n1),
inference(cnf_transformation,[],[f58]) ).
fof(f197,plain,
! [X2,X0] :
( tapOn != X0
| initiates(X0,filling,X2) ),
inference(equality_resolution,[],[f122]) ).
fof(f198,plain,
! [X2] : initiates(tapOn,filling,X2),
inference(equality_resolution,[],[f197]) ).
fof(f210,plain,
! [X0] :
( tapOn != X0
| happens(X0,n0) ),
inference(equality_resolution,[],[f134]) ).
fof(f211,plain,
happens(tapOn,n0),
inference(equality_resolution,[],[f210]) ).
fof(f212,plain,
! [X3,X0,X1] :
( ~ holdsAt(waterLevel(X0),X1)
| trajectory(filling,X1,waterLevel(plus(X0,X3)),X3) ),
inference(equality_resolution,[],[f142]) ).
fof(f217,plain,
! [X2,X0,X1] :
( ~ stoppedIn(X0,X1,X2)
| ~ less(X0,sK1(X0,X1,X2)) ),
inference(consistent_polarity_flipping,[],[f89]) ).
fof(f218,plain,
! [X2,X0,X1] :
( ~ stoppedIn(X0,X1,X2)
| ~ less(sK1(X0,X1,X2),X2) ),
inference(consistent_polarity_flipping,[],[f88]) ).
fof(f220,plain,
! [X2,X3,X0,X1,X4] :
( stoppedIn(X1,X2,plus(X1,X4))
| trajectory(X2,X1,X3,X4)
| initiates(X0,X2,X1)
| less(n0,X4)
| happens(X0,X1)
| holdsAt(X3,plus(X1,X4)) ),
inference(consistent_polarity_flipping,[],[f91]) ).
fof(f223,plain,
! [X0,X1] :
( ~ happens(sK3(X0,X1),X1)
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1)
| ~ holdsAt(X0,plus(X1,n1)) ),
inference(consistent_polarity_flipping,[],[f95]) ).
fof(f224,plain,
! [X0,X1] :
( ~ initiates(sK3(X0,X1),X0,X1)
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1)
| ~ holdsAt(X0,plus(X1,n1)) ),
inference(consistent_polarity_flipping,[],[f94]) ).
fof(f228,plain,
! [X2,X0,X1] :
( initiates(X0,X2,X1)
| holdsAt(X2,plus(X1,n1))
| happens(X0,X1) ),
inference(consistent_polarity_flipping,[],[f100]) ).
fof(f235,plain,
! [X2] : ~ initiates(tapOn,filling,X2),
inference(consistent_polarity_flipping,[],[f198]) ).
fof(f262,plain,
~ happens(tapOn,n0),
inference(consistent_polarity_flipping,[],[f211]) ).
fof(f263,plain,
! [X3,X0,X1] :
( ~ holdsAt(waterLevel(X0),X1)
| ~ trajectory(filling,X1,waterLevel(plus(X0,X3)),X3) ),
inference(consistent_polarity_flipping,[],[f212]) ).
fof(f266,plain,
! [X0,X1] :
( ~ less(X0,X1)
| X0 = X1
| less_or_equal(X0,X1) ),
inference(consistent_polarity_flipping,[],[f163]) ).
fof(f267,plain,
! [X0] : less(X0,n0),
inference(consistent_polarity_flipping,[],[f166]) ).
fof(f268,plain,
! [X0] :
( ~ less_or_equal(X0,n0)
| less(X0,n1) ),
inference(consistent_polarity_flipping,[],[f168]) ).
fof(f286,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ less(X1,X0)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f187]) ).
fof(f337,plain,
n1 = plus(n1,n0),
inference(superposition,[],[f162,f153]) ).
fof(f356,plain,
! [X0] :
( less_or_equal(X0,n0)
| n0 = X0 ),
inference(resolution,[],[f266,f267]) ).
fof(f484,plain,
! [X0,X1] :
( initiates(X1,X0,n0)
| holdsAt(X0,n1)
| happens(X1,n0) ),
inference(superposition,[],[f228,f153]) ).
fof(f504,plain,
! [X0] : ~ trajectory(filling,n0,waterLevel(plus(n0,X0)),X0),
inference(resolution,[],[f263,f188]) ).
fof(f519,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| releasedAt(X0,X1)
| waterLevel(sK9(sK5(X0,X1),X0)) = X0 ),
inference(resolution,[],[f98,f131]) ).
fof(f661,plain,
! [X2,X3,X0,X1,X4] :
( stoppedIn(X1,X2,plus(X0,X1))
| trajectory(X2,X1,X3,X0)
| initiates(X4,X2,X1)
| less(n0,X0)
| happens(X4,X1)
| holdsAt(X3,plus(X0,X1)) ),
inference(superposition,[],[f220,f162]) ).
fof(f702,definition,
( spl10_41
<=> less(n0,n1) ),
introduced(definition,[new_symbols(definition,[spl10_41])],[avatar_definition]) ).
fof(f703,plain,
( ~ less(n0,n1)
| spl10_41 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f704,plain,
( less(n0,n1)
| ~ spl10_41 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f751,plain,
( ~ less(n1,n0)
| n0 = n1
| ~ spl10_41 ),
inference(resolution,[],[f704,f286]) ).
fof(f758,definition,
( spl10_51
<=> n0 = n1 ),
introduced(definition,[new_symbols(definition,[spl10_51])],[avatar_definition]) ).
fof(f760,plain,
( n0 = n1
| ~ spl10_51 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f762,plain,
( n0 = n1
| ~ spl10_41 ),
inference(forward_subsumption_resolution,[],[f751,f267]) ).
fof(f765,plain,
( spl10_51
| ~ spl10_41 ),
inference(avatar_split_clause,[],[f762,f702,f758]) ).
fof(f869,plain,
! [X0] :
( less(X0,n1)
| n0 = X0 ),
inference(resolution,[],[f356,f268]) ).
fof(f909,plain,
~ trajectory(filling,n0,waterLevel(n1),n1),
inference(superposition,[],[f504,f153]) ).
fof(f915,definition,
( spl10_66
<=> ! [X1] :
( initiates(X1,filling,n0)
| happens(X1,n0) ) ),
introduced(definition,[new_symbols(definition,[spl10_66])],[avatar_definition]) ).
fof(f916,plain,
( ! [X1] :
( initiates(X1,filling,n0)
| happens(X1,n0) )
| ~ spl10_66 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f1024,plain,
( holdsAt(filling,n1)
| happens(tapOn,n0) ),
inference(resolution,[],[f484,f235]) ).
fof(f1037,plain,
holdsAt(filling,n1),
inference(forward_subsumption_resolution,[],[f1024,f262]) ).
fof(f1088,plain,
( holdsAt(waterLevel(n1),n1)
| ~ spl10_51 ),
inference(superposition,[],[f188,f760]) ).
fof(f1119,plain,
( $false
| ~ spl10_51 ),
inference(forward_subsumption_resolution,[],[f1088,f194]) ).
fof(f1120,plain,
~ spl10_51,
inference(avatar_contradiction_clause,[],[f1119]) ).
fof(f1436,plain,
! [X0] :
( ~ releasedAt(X0,n1)
| releasedAt(X0,n0)
| waterLevel(sK9(sK5(X0,n0),X0)) = X0 ),
inference(superposition,[],[f519,f153]) ).
fof(f1706,definition,
( spl10_113
<=> stoppedIn(n0,filling,n1) ),
introduced(definition,[new_symbols(definition,[spl10_113])],[avatar_definition]) ).
fof(f1708,plain,
( stoppedIn(n0,filling,n1)
| ~ spl10_113 ),
inference(avatar_component_clause,[],[f1706]) ).
fof(f2528,definition,
( spl10_153
<=> releasedAt(filling,n1) ),
introduced(definition,[new_symbols(definition,[spl10_153])],[avatar_definition]) ).
fof(f2530,plain,
( releasedAt(filling,n1)
| ~ spl10_153 ),
inference(avatar_component_clause,[],[f2528]) ).
fof(f2750,plain,
! [X0] :
( stoppedIn(n0,filling,plus(n1,n0))
| initiates(X0,filling,n0)
| less(n0,n1)
| happens(X0,n0)
| holdsAt(waterLevel(n1),plus(n1,n0)) ),
inference(resolution,[],[f909,f661]) ).
fof(f2753,plain,
( ! [X0] :
( stoppedIn(n0,filling,plus(n1,n0))
| initiates(X0,filling,n0)
| happens(X0,n0)
| holdsAt(waterLevel(n1),plus(n1,n0)) )
| spl10_41 ),
inference(forward_subsumption_resolution,[],[f2750,f703]) ).
fof(f2756,plain,
( ! [X0] :
( stoppedIn(n0,filling,n1)
| initiates(X0,filling,n0)
| happens(X0,n0)
| holdsAt(waterLevel(n1),plus(n1,n0)) )
| spl10_41 ),
inference(forward_demodulation,[],[f2753,f337]) ).
fof(f2759,plain,
( ! [X0] :
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| initiates(X0,filling,n0)
| happens(X0,n0) )
| spl10_41 ),
inference(forward_demodulation,[],[f2756,f337]) ).
fof(f2761,plain,
( ! [X0] :
( stoppedIn(n0,filling,n1)
| initiates(X0,filling,n0)
| happens(X0,n0) )
| spl10_41 ),
inference(forward_subsumption_resolution,[],[f2759,f194]) ).
fof(f2763,plain,
( spl10_66
| spl10_113
| spl10_41 ),
inference(avatar_split_clause,[],[f2761,f702,f1706,f915]) ).
fof(f3090,plain,
( happens(sK3(filling,n0),n0)
| releasedAt(filling,plus(n0,n1))
| holdsAt(filling,n0)
| ~ holdsAt(filling,plus(n0,n1))
| ~ spl10_66 ),
inference(resolution,[],[f916,f224]) ).
fof(f3091,plain,
( releasedAt(filling,plus(n0,n1))
| holdsAt(filling,n0)
| ~ holdsAt(filling,plus(n0,n1))
| ~ spl10_66 ),
inference(forward_subsumption_resolution,[],[f3090,f223]) ).
fof(f3094,plain,
( releasedAt(filling,plus(n0,n1))
| ~ holdsAt(filling,plus(n0,n1))
| ~ spl10_66 ),
inference(forward_subsumption_resolution,[],[f3091,f189]) ).
fof(f3095,plain,
( releasedAt(filling,n1)
| ~ holdsAt(filling,plus(n0,n1))
| ~ spl10_66 ),
inference(forward_demodulation,[],[f3094,f153]) ).
fof(f3096,plain,
( ~ holdsAt(filling,n1)
| releasedAt(filling,n1)
| ~ spl10_66 ),
inference(forward_demodulation,[],[f3095,f153]) ).
fof(f3097,plain,
( releasedAt(filling,n1)
| ~ spl10_66 ),
inference(forward_subsumption_resolution,[],[f3096,f1037]) ).
fof(f3098,plain,
( spl10_153
| ~ spl10_66 ),
inference(avatar_split_clause,[],[f3097,f915,f2528]) ).
fof(f3117,plain,
( ~ less(sK1(n0,filling,n1),n1)
| ~ spl10_113 ),
inference(resolution,[],[f1708,f218]) ).
fof(f3118,plain,
( ~ less(n0,sK1(n0,filling,n1))
| ~ spl10_113 ),
inference(resolution,[],[f1708,f217]) ).
fof(f6219,plain,
( releasedAt(filling,n0)
| filling = waterLevel(sK9(sK5(filling,n0),filling))
| ~ spl10_153 ),
inference(resolution,[],[f2530,f1436]) ).
fof(f6231,plain,
( filling = waterLevel(sK9(sK5(filling,n0),filling))
| ~ spl10_153 ),
inference(forward_subsumption_resolution,[],[f6219,f192]) ).
fof(f6232,plain,
( $false
| ~ spl10_153 ),
inference(forward_subsumption_resolution,[],[f6231,f147]) ).
fof(f6233,plain,
~ spl10_153,
inference(avatar_contradiction_clause,[],[f6232]) ).
fof(f7325,plain,
( n0 = sK1(n0,filling,n1)
| ~ spl10_113 ),
inference(resolution,[],[f3117,f869]) ).
fof(f9711,plain,
( ~ less(n0,n0)
| ~ spl10_113 ),
inference(superposition,[],[f3118,f7325]) ).
fof(f9731,plain,
( $false
| ~ spl10_113 ),
inference(forward_subsumption_resolution,[],[f9711,f267]) ).
fof(f9732,plain,
~ spl10_113,
inference(avatar_contradiction_clause,[],[f9731]) ).
cnf(s32,plain,
( ~ spl10_41
| spl10_51 ),
inference(sat_conversion,[],[f765]) ).
cnf(s65,plain,
~ spl10_51,
inference(sat_conversion,[],[f1120]) ).
cnf(s178,plain,
( spl10_41
| spl10_66
| spl10_113 ),
inference(sat_conversion,[],[f2763]) ).
cnf(s242,plain,
( ~ spl10_66
| spl10_153 ),
inference(sat_conversion,[],[f3098]) ).
cnf(s571,plain,
~ spl10_153,
inference(sat_conversion,[],[f6233]) ).
cnf(s729,plain,
~ spl10_113,
inference(sat_conversion,[],[f9732]) ).
cnf(s743,plain,
~ spl10_66,
inference(rat,[],[s242,s571]) ).
cnf(s753,plain,
spl10_41,
inference(rat,[],[s178,s729,s743]) ).
cnf(s770,plain,
$false,
inference(rat,[],[s32,s65,s753]) ).
fof(f9734,plain,
$false,
inference(avatar_sat_refutation,[],[s770]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR012+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n009.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 22:06:00 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.40/0.59 % (3547028)Will run a generic schedule for satisfiability detection.
% 2.40/0.59 % (3547036)dis+10_1_sil=32000:sp=arity:random_seed=4070817551:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.40/0.59 % (3547034)% WARNING: option uhcvi not known.
% 2.40/0.59 % (3547033)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3988464264_2999 on theBenchmark for (2999ds/0Mi)
% 2.40/0.59 % (3547034)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=122152578:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.40/0.59 % (3547035)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1439821029:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.40/0.59 % (3547037)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3808048134:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.40/0.59 % (3547039)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=253022635:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.40/0.59 % (3547038)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3154884457:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.40/0.59 % Detected minimum model sizes of [3]
% 2.40/0.59 % Detected maximum model sizes of [max]
% 2.40/0.59 % TRYING [3]
% 2.40/0.59 % TRYING [4]
% 2.40/0.59 % (3547036)Instruction limit reached!
% 2.40/0.59 % (3547036)------------------------------
% 2.40/0.59 % (3547036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.59 % (3547036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.59 % (3547036)CaDiCaL version: 2.1.3
% 2.40/0.59 % (3547036)Termination reason: Instruction limit
% 2.40/0.59 % (3547036)Termination phase: Saturation
% 2.40/0.59 % (3547036)Time elapsed: 0.036 s
% 2.40/0.59 % (3547036)Peak memory usage: 12 MB
% 2.40/0.59 % (3547036)Instructions burned: 106 (million)
% 2.40/0.59 % TRYING [5]
% 2.40/0.59 % (3547047)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3266554541:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.40/0.59 % Detected minimum model sizes of [3]
% 2.40/0.59 % Detected maximum model sizes of [max]
% 2.40/0.59 % TRYING [3]
% 2.40/0.59 % TRYING [4]
% 2.40/0.59 % TRYING [5]
% 2.40/0.59 % TRYING [6]
% 2.40/0.59 % (3547037)Instruction limit reached!
% 2.40/0.59 % (3547037)------------------------------
% 2.40/0.59 % (3547037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.59 % (3547037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.59 % (3547037)CaDiCaL version: 2.1.3
% 2.40/0.59 % (3547037)Termination reason: Instruction limit
% 2.40/0.59 % (3547037)Termination phase: Saturation
% 2.40/0.59 % (3547037)Time elapsed: 0.076 s
% 2.40/0.59 % (3547037)Peak memory usage: 13 MB
% 2.40/0.59 % (3547037)Instructions burned: 116 (million)
% 2.40/0.59 % (3547038)Instruction limit reached!
% 2.40/0.59 % (3547038)------------------------------
% 2.40/0.59 % (3547038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.59 % (3547038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.59 % (3547038)CaDiCaL version: 2.1.3
% 2.40/0.59 % (3547038)Termination reason: Instruction limit
% 2.40/0.59 % (3547038)Termination phase: Saturation
% 2.40/0.59 % (3547038)Time elapsed: 0.082 s
% 2.40/0.59 % (3547038)Peak memory usage: 12 MB
% 2.40/0.59 % (3547038)Instructions burned: 132 (million)
% 2.40/0.59 % TRYING [6]
% 2.40/0.59 % (3547039)Instruction limit reached!
% 2.40/0.59 % (3547039)------------------------------
% 2.40/0.59 % (3547039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.59 % (3547039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.59 % (3547039)CaDiCaL version: 2.1.3
% 2.40/0.59 % (3547039)Termination reason: Instruction limit
% 2.40/0.59 % (3547039)Termination phase: Saturation
% 2.40/0.59 % (3547039)Time elapsed: 0.095 s
% 2.40/0.59 % (3547039)Peak memory usage: 13 MB
% 2.40/0.59 % (3547039)Instructions burned: 160 (million)
% 2.40/0.59 % (3547049)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2195116123:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.40/0.59 % (3547050)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1271704112:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.40/0.59 % (3547052)ott-21_1_sil=16000:fs=off:random_seed=930443100:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.40/0.59 % TRYING [7]
% 2.40/0.59 % TRYING [7]
% 2.40/0.59 % (3547047)Instruction limit reached!
% 2.40/0.59 % (3547047)------------------------------
% 2.40/0.59 % (3547047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.59 % (3547047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.59 % (3547047)CaDiCaL version: 2.1.3
% 2.40/0.59 % (3547047)Termination reason: Instruction limit
% 2.40/0.59 % (3547047)Termination phase: Finite model building constraint generation
% 2.40/0.59 % (3547047)Time elapsed: 0.141 s
% 2.40/0.59 % (3547047)Peak memory usage: 28 MB
% 2.40/0.59 % (3547047)Instructions burned: 715 (million)
% 2.40/0.59 % (3547049)Instruction limit reached!
% 2.40/0.59 % (3547049)------------------------------
% 2.40/0.59 % (3547049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.59 % (3547049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.59 % (3547049)CaDiCaL version: 2.1.3
% 2.40/0.59 % (3547049)Termination reason: Instruction limit
% 2.40/0.59 % (3547049)Termination phase: Saturation
% 2.40/0.59 % (3547049)Time elapsed: 0.086 s
% 2.40/0.59 % (3547049)Peak memory usage: 13 MB
% 2.40/0.59 % (3547049)Instructions burned: 131 (million)
% 2.40/0.59 % (3547055)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1760964092:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.40/0.59 % (3547056)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2013764025:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.40/0.59 % Detected minimum model sizes of [3]
% 2.40/0.59 % Detected maximum model sizes of [max]
% 2.40/0.59 % TRYING [3]
% 2.40/0.59 % (3547052)Instruction limit reached!
% 2.40/0.59 % (3547052)------------------------------
% 2.40/0.59 % (3547052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.59 % (3547052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.59 % (3547052)CaDiCaL version: 2.1.3
% 2.40/0.59 % (3547052)Termination reason: Instruction limit
% 2.40/0.59 % (3547052)Termination phase: Saturation
% 2.40/0.59 % (3547052)Time elapsed: 0.096 s
% 2.40/0.59 % (3547052)Peak memory usage: 13 MB
% 2.40/0.59 % (3547052)Instructions burned: 181 (million)
% 2.40/0.59 % TRYING [4]
% 2.40/0.59 % (3547059)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3579156882:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.40/0.59 % TRYING [5]
% 2.40/0.59 % TRYING [8]
% 2.40/0.59 % (3547034) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3547028-3547034"...
% 2.40/0.59 % (3547034)...printing done.
% 2.40/0.59 % (3547034)Refutation found. Thanks to Tanya!
% 2.40/0.59 % SZS status Theorem for theBenchmark
% 2.40/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 2.40/0.60 % (3547034)------------------------------
% 2.40/0.60 % (3547034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.40/0.60 % (3547034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.40/0.60 % (3547034)CaDiCaL version: 2.1.3
% 2.40/0.60 % (3547034)Termination reason: Refutation
% 2.40/0.60 % (3547034)Time elapsed: 0.323 s
% 2.40/0.60 % (3547034)Peak memory usage: 16 MB
% 2.40/0.60 % (3547034)Instructions burned: 535 (million)
% 2.40/0.60 % (3547028)Success in time 0.366 s
% 2.40/0.60 % Vampire exiting
%------------------------------------------------------------------------------