%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR005+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 : n011.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 09:41:56 AM UTC 2026
% Result : Theorem 7.33s 1.85s
% Output : Refutation 8.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 41
% Syntax : Number of formulae : 260 ( 55 unt; 17 def)
% Number of atoms : 783 ( 149 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 854 ( 331 ~; 378 |; 111 &)
% ( 27 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 17 prp; 0-4 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-3 aty)
% Number of variables : 282 ( 0 sgn 260 !; 22 ?)
% 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(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/sandbox/benchmark/theBenchmark.p',keep_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/sandbox/benchmark/theBenchmark.p',keep_not_released) ).
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(f12,axiom,
! [X0,X1,X2] :
( ( happens(X0,X1)
& ( initiates(X0,X2,X1)
| terminates(X0,X2,X1) ) )
=> ~ releasedAt(X2,plus(X1,n1)) ),
file('/export/starexec/sandbox/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/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(f30,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_1) ).
fof(f31,axiom,
plus(n1,n2) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_2) ).
fof(f36,axiom,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_plus) ).
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,
holdsAt(filling,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',filling_3) ).
fof(f56,negated_conjecture,
~ holdsAt(filling,n3),
inference(negated_conjecture,[status(cth)],[f55]) ).
fof(f57,plain,
~ holdsAt(filling,n3),
inference(flattening,[],[f56]) ).
fof(f58,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(f59,plain,
! [X0] : ~ less(X0,n0),
inference(ennf_transformation,[],[f38]) ).
fof(f60,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ holdsAt(waterLevel(X1),X0)
| ~ holdsAt(waterLevel(X2),X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f61,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ holdsAt(waterLevel(X1),X0)
| ~ holdsAt(waterLevel(X2),X0) ),
inference(flattening,[],[f60]) ).
fof(f62,plain,
! [X0,X1,X2,X3] :
( trajectory(filling,X1,waterLevel(X2),X3)
| ~ holdsAt(waterLevel(X0),X1)
| plus(X0,X3) != X2 ),
inference(ennf_transformation,[],[f17]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( trajectory(filling,X1,waterLevel(X2),X3)
| ~ holdsAt(waterLevel(X0),X1)
| plus(X0,X3) != X2 ),
inference(flattening,[],[f62]) ).
fof(f64,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(f65,plain,
! [X0,X1,X2] :
( ~ releasedAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ( ~ initiates(X0,X2,X1)
& ~ terminates(X0,X2,X1) ) ),
inference(flattening,[],[f64]) ).
fof(f68,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| releasedAt(X0,X1)
| ? [X2] :
( happens(X2,X1)
& releases(X2,X0,X1) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f69,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| releasedAt(X0,X1)
| ? [X2] :
( happens(X2,X1)
& releases(X2,X0,X1) ) ),
inference(flattening,[],[f68]) ).
fof(f74,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(f75,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,[],[f74]) ).
fof(f76,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(f77,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,[],[f76]) ).
fof(f78,plain,
! [X0,X1,X2] :
( holdsAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f79,plain,
! [X0,X1,X2] :
( holdsAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1) ),
inference(flattening,[],[f78]) ).
fof(f84,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(f85,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) )
| sP0(X2,X0,X1) ) ),
inference(definition_folding,[],[f58,f84]) ).
fof(f86,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(f87,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,[],[f86]) ).
fof(f88,plain,
! [X0] :
( ( less(X0,n1)
| ~ less_or_equal(X0,n0) )
& ( less_or_equal(X0,n0)
| ~ less(X0,n1) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f89,plain,
! [X0] :
( ( less(X0,n2)
| ~ less_or_equal(X0,n1) )
& ( less_or_equal(X0,n1)
| ~ less(X0,n2) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f90,plain,
! [X0] :
( ( less(X0,n3)
| ~ less_or_equal(X0,n2) )
& ( less_or_equal(X0,n2)
| ~ less(X0,n3) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f97,plain,
! [X0,X1] :
( ( less(X0,X1)
| less(X1,X0)
| X0 = X1 )
& ( ( ~ less(X1,X0)
& X1 != X0 )
| ~ less(X0,X1) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f98,plain,
! [X0,X1] :
( ( less(X0,X1)
| less(X1,X0)
| X0 = X1 )
& ( ( ~ less(X1,X0)
& X1 != X0 )
| ~ less(X0,X1) ) ),
inference(flattening,[],[f97]) ).
fof(f99,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(f100,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,[],[f99]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ( initiates(X0,X1,X2)
| ( ( tapOn != X0
| filling != X1 )
& ( overflow != X0
| spilling != X1 )
& ! [X3] :
( ~ holdsAt(waterLevel(X3),X2)
| tapOff != X0
| waterLevel(X3) != X1 )
& ~ sP0(X2,X0,X1) ) )
& ( ( X0 = tapOn
& X1 = filling )
| ( X0 = overflow
& X1 = spilling )
| ? [X3] :
( holdsAt(waterLevel(X3),X2)
& X0 = tapOff
& X1 = waterLevel(X3) )
| sP0(X2,X0,X1)
| ~ initiates(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f85]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ( initiates(X0,X1,X2)
| ( ( tapOn != X0
| filling != X1 )
& ( overflow != X0
| spilling != X1 )
& ! [X3] :
( ~ holdsAt(waterLevel(X3),X2)
| tapOff != X0
| waterLevel(X3) != X1 )
& ~ sP0(X2,X0,X1) ) )
& ( ( X0 = tapOn
& X1 = filling )
| ( X0 = overflow
& X1 = spilling )
| ? [X3] :
( holdsAt(waterLevel(X3),X2)
& X0 = tapOff
& X1 = waterLevel(X3) )
| sP0(X2,X0,X1)
| ~ initiates(X0,X1,X2) ) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ( initiates(X0,X1,X2)
| ( ( tapOn != X0
| filling != X1 )
& ( overflow != X0
| spilling != X1 )
& ! [X3] :
( ~ holdsAt(waterLevel(X3),X2)
| tapOff != X0
| waterLevel(X3) != X1 )
& ~ sP0(X2,X0,X1) ) )
& ( ( X0 = tapOn
& X1 = filling )
| ( X0 = overflow
& X1 = spilling )
| ? [X4] :
( holdsAt(waterLevel(X4),X2)
& X0 = tapOff
& waterLevel(X4) = X1 )
| sP0(X2,X0,X1)
| ~ initiates(X0,X1,X2) ) ),
inference(rectify,[],[f109]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ( initiates(X0,X1,X2)
| ( ( tapOn != X0
| filling != X1 )
& ( overflow != X0
| spilling != X1 )
& ! [X3] :
( ~ holdsAt(waterLevel(X3),X2)
| tapOff != X0
| waterLevel(X3) != X1 )
& ~ sP0(X2,X0,X1) ) )
& ( ( X0 = tapOn
& X1 = filling )
| ( X0 = overflow
& X1 = spilling )
| ( holdsAt(waterLevel(sK3(X0,X1,X2)),X2)
& X0 = tapOff
& waterLevel(sK3(X0,X1,X2)) = X1 )
| sP0(X2,X0,X1)
| ~ initiates(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X4,sK3(X0,X1,X2))],[f110]) ).
fof(f114,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| releasedAt(X0,X1)
| ( happens(sK4(X0,X1),X1)
& releases(sK4(X0,X1),X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f69]) ).
fof(f117,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1)
| releasedAt(X0,plus(X1,n1))
| ( happens(sK7(X0,X1),X1)
& terminates(sK7(X0,X1),X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f75]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ( stoppedIn(X0,X1,X2)
| ! [X3,X4] :
( ~ happens(X3,X4)
| ~ less(X0,X4)
| ~ less(X4,X2)
| ~ terminates(X3,X1,X4) ) )
& ( ? [X3,X4] :
( happens(X3,X4)
& less(X0,X4)
& less(X4,X2)
& terminates(X3,X1,X4) )
| ~ stoppedIn(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ( stoppedIn(X0,X1,X2)
| ! [X3,X4] :
( ~ happens(X3,X4)
| ~ less(X0,X4)
| ~ less(X4,X2)
| ~ terminates(X3,X1,X4) ) )
& ( ? [X5,X6] :
( happens(X5,X6)
& less(X0,X6)
& less(X6,X2)
& terminates(X5,X1,X6) )
| ~ stoppedIn(X0,X1,X2) ) ),
inference(rectify,[],[f121]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ( stoppedIn(X0,X1,X2)
| ! [X3,X4] :
( ~ happens(X3,X4)
| ~ less(X0,X4)
| ~ less(X4,X2)
| ~ terminates(X3,X1,X4) ) )
& ( ( happens(sK10(X0,X1,X2),sK11(X0,X1,X2))
& less(X0,sK11(X0,X1,X2))
& less(sK11(X0,X1,X2),X2)
& terminates(sK10(X0,X1,X2),X1,sK11(X0,X1,X2)) )
| ~ stoppedIn(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11]),skolemize(X5,sK10(X0,X1,X2)),skolemize(X6,sK11(X0,X1,X2))],[f122]) ).
fof(f125,plain,
n1 = plus(n0,n1),
inference(cnf_transformation,[],[f27]) ).
fof(f126,plain,
n2 = plus(n0,n2),
inference(cnf_transformation,[],[f28]) ).
fof(f128,plain,
n2 = plus(n1,n1),
inference(cnf_transformation,[],[f30]) ).
fof(f129,plain,
n3 = plus(n1,n2),
inference(cnf_transformation,[],[f31]) ).
fof(f134,plain,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
inference(cnf_transformation,[],[f36]) ).
fof(f135,plain,
! [X0,X1] :
( ~ less_or_equal(X0,X1)
| X0 = X1
| less(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f136,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f87]) ).
fof(f137,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f138,plain,
! [X0] : ~ less(X0,n0),
inference(cnf_transformation,[],[f59]) ).
fof(f139,plain,
! [X0] :
( less_or_equal(X0,n0)
| ~ less(X0,n1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f140,plain,
! [X0] :
( ~ less_or_equal(X0,n0)
| less(X0,n1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f141,plain,
! [X0] :
( less_or_equal(X0,n1)
| ~ less(X0,n2) ),
inference(cnf_transformation,[],[f89]) ).
fof(f142,plain,
! [X0] :
( ~ less_or_equal(X0,n1)
| less(X0,n2) ),
inference(cnf_transformation,[],[f89]) ).
fof(f144,plain,
! [X0] :
( ~ less_or_equal(X0,n2)
| less(X0,n3) ),
inference(cnf_transformation,[],[f90]) ).
fof(f157,plain,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f160,plain,
holdsAt(waterLevel(n0),n0),
inference(cnf_transformation,[],[f49]) ).
fof(f161,plain,
~ holdsAt(filling,n0),
inference(cnf_transformation,[],[f50]) ).
fof(f166,plain,
~ holdsAt(filling,n3),
inference(cnf_transformation,[],[f57]) ).
fof(f169,plain,
! [X0,X1] :
( ~ happens(X0,X1)
| holdsAt(waterLevel(n3),X1)
| n0 = X1 ),
inference(cnf_transformation,[],[f100]) ).
fof(f174,plain,
! [X0,X1] :
( happens(X0,X1)
| tapOn != X0
| n0 != X1 ),
inference(cnf_transformation,[],[f100]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ holdsAt(waterLevel(X2),X0)
| ~ holdsAt(waterLevel(X1),X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f61]) ).
fof(f180,plain,
! [X2,X3,X0,X1] :
( trajectory(filling,X1,waterLevel(X2),X3)
| ~ holdsAt(waterLevel(X0),X1)
| plus(X0,X3) != X2 ),
inference(cnf_transformation,[],[f63]) ).
fof(f203,plain,
! [X2,X0,X1] :
( initiates(X0,X1,X2)
| tapOn != X0
| filling != X1 ),
inference(cnf_transformation,[],[f111]) ).
fof(f212,plain,
! [X2,X0,X1] :
( ~ initiates(X0,X2,X1)
| ~ happens(X0,X1)
| ~ releasedAt(X2,plus(X1,n1)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f215,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| releasedAt(X0,X1)
| happens(sK4(X0,X1),X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f221,plain,
! [X0,X1] :
( ~ holdsAt(X0,X1)
| holdsAt(X0,plus(X1,n1))
| releasedAt(X0,plus(X1,n1))
| happens(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f225,plain,
! [X2,X3,X0,X1,X4] :
( ~ less(n0,X4)
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1)
| holdsAt(X3,plus(X1,X4))
| ~ trajectory(X2,X1,X3,X4)
| stoppedIn(X1,X2,plus(X1,X4)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f226,plain,
! [X2,X0,X1] :
( ~ happens(X0,X1)
| holdsAt(X2,plus(X1,n1))
| ~ initiates(X0,X2,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f235,plain,
! [X2,X0,X1] :
( less(sK11(X0,X1,X2),X2)
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f123]) ).
fof(f236,plain,
! [X2,X0,X1] :
( ~ stoppedIn(X0,X1,X2)
| less(X0,sK11(X0,X1,X2)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f237,plain,
! [X2,X0,X1] :
( ~ stoppedIn(X0,X1,X2)
| happens(sK10(X0,X1,X2),sK11(X0,X1,X2)) ),
inference(cnf_transformation,[],[f123]) ).
fof(f239,plain,
! [X1] : less_or_equal(X1,X1),
inference(equality_resolution,[],[f136]) ).
fof(f240,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f157]) ).
fof(f241,plain,
! [X1] :
( happens(tapOn,X1)
| n0 != X1 ),
inference(equality_resolution,[],[f174]) ).
fof(f242,plain,
happens(tapOn,n0),
inference(equality_resolution,[],[f241]) ).
fof(f245,plain,
! [X3,X0,X1] :
( ~ holdsAt(waterLevel(X0),X1)
| trajectory(filling,X1,waterLevel(plus(X0,X3)),X3) ),
inference(equality_resolution,[],[f180]) ).
fof(f250,plain,
! [X2,X1] :
( initiates(tapOn,X1,X2)
| filling != X1 ),
inference(equality_resolution,[],[f203]) ).
fof(f251,plain,
! [X2] : initiates(tapOn,filling,X2),
inference(equality_resolution,[],[f250]) ).
fof(f262,plain,
n1 = plus(n1,n0),
inference(forward_demodulation,[],[f125,f134]) ).
fof(f264,plain,
less(n2,n3),
inference(resolution,[],[f239,f144]) ).
fof(f267,plain,
less(n1,n2),
inference(resolution,[],[f142,f239]) ).
fof(f268,plain,
! [X0] :
( less(X0,n2)
| ~ less(X0,n1) ),
inference(resolution,[],[f142,f137]) ).
fof(f269,plain,
! [X0] : trajectory(filling,n0,waterLevel(plus(n0,X0)),X0),
inference(resolution,[],[f245,f160]) ).
fof(f272,plain,
trajectory(filling,n0,waterLevel(n2),n2),
inference(superposition,[],[f269,f126]) ).
fof(f274,plain,
! [X0] : trajectory(filling,n0,waterLevel(plus(X0,n0)),X0),
inference(superposition,[],[f269,f134]) ).
fof(f278,plain,
! [X0] :
( ~ less(X0,n2)
| n1 = X0
| less(X0,n1) ),
inference(resolution,[],[f141,f135]) ).
fof(f279,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n2)
| less(sK11(X0,X1,n2),n1)
| n1 = sK11(X0,X1,n2) ),
inference(resolution,[],[f278,f235]) ).
fof(f282,plain,
less(n0,n1),
inference(resolution,[],[f140,f239]) ).
fof(f284,plain,
! [X2,X3,X0,X1] :
( ~ happens(X0,X1)
| ~ initiates(X0,X2,X1)
| holdsAt(X3,plus(X1,n1))
| ~ trajectory(X2,X1,X3,n1)
| stoppedIn(X1,X2,plus(X1,n1)) ),
inference(resolution,[],[f282,f225]) ).
fof(f291,plain,
! [X0] :
( ~ less(X0,n1)
| n0 = X0
| less(X0,n0) ),
inference(resolution,[],[f139,f135]) ).
fof(f292,plain,
! [X0] :
( ~ less(X0,n1)
| n0 = X0 ),
inference(forward_subsumption_resolution,[],[f291,f138]) ).
fof(f294,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n1)
| n0 = sK11(X0,X1,n1) ),
inference(resolution,[],[f292,f235]) ).
fof(f327,plain,
! [X0] :
( holdsAt(X0,plus(n0,n1))
| ~ initiates(tapOn,X0,n0) ),
inference(resolution,[],[f242,f226]) ).
fof(f330,plain,
! [X0] :
( holdsAt(X0,plus(n1,n0))
| ~ initiates(tapOn,X0,n0) ),
inference(forward_demodulation,[],[f327,f134]) ).
fof(f334,plain,
! [X0] :
( ~ initiates(tapOn,X0,n0)
| holdsAt(X0,n1) ),
inference(forward_demodulation,[],[f330,f262]) ).
fof(f348,plain,
! [X2,X3,X0,X1] :
( ~ less(n0,n1)
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1)
| holdsAt(X3,plus(X1,n2))
| ~ trajectory(X2,X1,X3,n2)
| stoppedIn(X1,X2,plus(X1,n2)) ),
inference(resolution,[],[f268,f225]) ).
fof(f351,plain,
! [X2,X3,X0,X1] :
( ~ happens(X0,X1)
| ~ initiates(X0,X2,X1)
| holdsAt(X3,plus(X1,n2))
| ~ trajectory(X2,X1,X3,n2)
| stoppedIn(X1,X2,plus(X1,n2)) ),
inference(forward_subsumption_resolution,[],[f348,f282]) ).
fof(f371,definition,
( spl12_2
<=> n0 = n2 ),
introduced(definition,[new_symbols(definition,[spl12_2])],[avatar_definition]) ).
fof(f372,plain,
( n0 = n2
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f380,plain,
( less(n1,n0)
| ~ spl12_2 ),
inference(superposition,[],[f267,f372]) ).
fof(f386,plain,
( $false
| ~ spl12_2 ),
inference(forward_subsumption_resolution,[],[f380,f138]) ).
fof(f387,plain,
~ spl12_2,
inference(avatar_contradiction_clause,[],[f386]) ).
fof(f395,plain,
trajectory(filling,n0,waterLevel(n1),n1),
inference(superposition,[],[f274,f262]) ).
fof(f409,plain,
holdsAt(filling,n1),
inference(resolution,[],[f251,f334]) ).
fof(f411,plain,
! [X0] :
( ~ happens(tapOn,X0)
| ~ releasedAt(filling,plus(X0,n1)) ),
inference(resolution,[],[f251,f212]) ).
fof(f414,plain,
~ releasedAt(filling,plus(n0,n1)),
inference(resolution,[],[f411,f242]) ).
fof(f415,plain,
~ releasedAt(filling,plus(n1,n0)),
inference(forward_demodulation,[],[f414,f134]) ).
fof(f416,plain,
~ releasedAt(filling,n1),
inference(forward_demodulation,[],[f415,f262]) ).
fof(f454,plain,
! [X0,X1] :
( ~ initiates(tapOn,X0,n0)
| holdsAt(X1,plus(n0,n1))
| ~ trajectory(X0,n0,X1,n1)
| stoppedIn(n0,X0,plus(n0,n1)) ),
inference(resolution,[],[f284,f242]) ).
fof(f455,plain,
! [X0,X1] :
( holdsAt(X1,plus(n1,n0))
| ~ initiates(tapOn,X0,n0)
| ~ trajectory(X0,n0,X1,n1)
| stoppedIn(n0,X0,plus(n0,n1)) ),
inference(forward_demodulation,[],[f454,f134]) ).
fof(f456,plain,
! [X0,X1] :
( holdsAt(X1,n1)
| ~ initiates(tapOn,X0,n0)
| ~ trajectory(X0,n0,X1,n1)
| stoppedIn(n0,X0,plus(n0,n1)) ),
inference(forward_demodulation,[],[f455,f262]) ).
fof(f457,plain,
! [X0,X1] :
( stoppedIn(n0,X0,plus(n1,n0))
| holdsAt(X1,n1)
| ~ initiates(tapOn,X0,n0)
| ~ trajectory(X0,n0,X1,n1) ),
inference(forward_demodulation,[],[f456,f134]) ).
fof(f458,plain,
! [X0,X1] :
( ~ initiates(tapOn,X0,n0)
| holdsAt(X1,n1)
| stoppedIn(n0,X0,n1)
| ~ trajectory(X0,n0,X1,n1) ),
inference(forward_demodulation,[],[f457,f262]) ).
fof(f459,plain,
! [X0] :
( holdsAt(X0,n1)
| stoppedIn(n0,filling,n1)
| ~ trajectory(filling,n0,X0,n1) ),
inference(resolution,[],[f458,f251]) ).
fof(f461,definition,
( spl12_5
<=> stoppedIn(n0,filling,n1) ),
introduced(definition,[new_symbols(definition,[spl12_5])],[avatar_definition]) ).
fof(f462,plain,
( stoppedIn(n0,filling,n1)
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f464,definition,
( spl12_6
<=> ! [X0] :
( holdsAt(X0,n1)
| ~ trajectory(filling,n0,X0,n1) ) ),
introduced(definition,[new_symbols(definition,[spl12_6])],[avatar_definition]) ).
fof(f465,plain,
( ! [X0] :
( ~ trajectory(filling,n0,X0,n1)
| holdsAt(X0,n1) )
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f466,plain,
( spl12_5
| spl12_6 ),
inference(avatar_split_clause,[],[f459,f464,f461]) ).
fof(f467,plain,
( n0 = sK11(n0,filling,n1)
| ~ spl12_5 ),
inference(resolution,[],[f462,f294]) ).
fof(f470,plain,
( less(n0,sK11(n0,filling,n1))
| ~ spl12_5 ),
inference(resolution,[],[f462,f236]) ).
fof(f476,plain,
( less(n0,n0)
| ~ spl12_5 ),
inference(superposition,[],[f470,f467]) ).
fof(f477,plain,
( $false
| ~ spl12_5 ),
inference(forward_subsumption_resolution,[],[f476,f240]) ).
fof(f478,plain,
~ spl12_5,
inference(avatar_contradiction_clause,[],[f477]) ).
fof(f486,plain,
! [X0,X1] :
( ~ releasedAt(X1,plus(n1,X0))
| releasedAt(X1,X0)
| happens(sK4(X1,X0),X0) ),
inference(superposition,[],[f215,f134]) ).
fof(f487,plain,
! [X0] :
( ~ releasedAt(X0,n2)
| releasedAt(X0,n1)
| happens(sK4(X0,n1),n1) ),
inference(superposition,[],[f215,f128]) ).
fof(f495,plain,
( holdsAt(waterLevel(n1),n1)
| ~ spl12_6 ),
inference(resolution,[],[f465,f395]) ).
fof(f502,plain,
( ! [X0] :
( ~ holdsAt(waterLevel(X0),n1)
| n1 = X0 )
| ~ spl12_6 ),
inference(resolution,[],[f495,f179]) ).
fof(f521,plain,
! [X0,X1] :
( ~ initiates(tapOn,X0,n0)
| holdsAt(X1,plus(n0,n2))
| ~ trajectory(X0,n0,X1,n2)
| stoppedIn(n0,X0,plus(n0,n2)) ),
inference(resolution,[],[f351,f242]) ).
fof(f522,plain,
! [X0,X1] :
( holdsAt(X1,n2)
| ~ initiates(tapOn,X0,n0)
| ~ trajectory(X0,n0,X1,n2)
| stoppedIn(n0,X0,plus(n0,n2)) ),
inference(forward_demodulation,[],[f521,f126]) ).
fof(f523,plain,
! [X0,X1] :
( ~ initiates(tapOn,X0,n0)
| holdsAt(X1,n2)
| stoppedIn(n0,X0,n2)
| ~ trajectory(X0,n0,X1,n2) ),
inference(forward_demodulation,[],[f522,f126]) ).
fof(f524,plain,
! [X0] :
( holdsAt(X0,n2)
| stoppedIn(n0,filling,n2)
| ~ trajectory(filling,n0,X0,n2) ),
inference(resolution,[],[f523,f251]) ).
fof(f526,definition,
( spl12_7
<=> stoppedIn(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_7])],[avatar_definition]) ).
fof(f527,plain,
( stoppedIn(n0,filling,n2)
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f529,definition,
( spl12_8
<=> ! [X0] :
( holdsAt(X0,n2)
| ~ trajectory(filling,n0,X0,n2) ) ),
introduced(definition,[new_symbols(definition,[spl12_8])],[avatar_definition]) ).
fof(f530,plain,
( ! [X0] :
( ~ trajectory(filling,n0,X0,n2)
| holdsAt(X0,n2) )
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f531,plain,
( spl12_7
| spl12_8 ),
inference(avatar_split_clause,[],[f524,f529,f526]) ).
fof(f533,plain,
( less(sK11(n0,filling,n2),n1)
| n1 = sK11(n0,filling,n2)
| ~ spl12_7 ),
inference(resolution,[],[f527,f279]) ).
fof(f547,definition,
( spl12_11
<=> n1 = sK11(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_11])],[avatar_definition]) ).
fof(f548,plain,
( n1 = sK11(n0,filling,n2)
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f550,definition,
( spl12_12
<=> less(sK11(n0,filling,n2),n1) ),
introduced(definition,[new_symbols(definition,[spl12_12])],[avatar_definition]) ).
fof(f551,plain,
( less(sK11(n0,filling,n2),n1)
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f552,plain,
( spl12_11
| spl12_12
| ~ spl12_7 ),
inference(avatar_split_clause,[],[f533,f526,f550,f547]) ).
fof(f553,plain,
( holdsAt(waterLevel(n2),n2)
| ~ spl12_8 ),
inference(resolution,[],[f530,f272]) ).
fof(f560,plain,
( ! [X0] :
( ~ holdsAt(waterLevel(X0),n2)
| n2 = X0 )
| ~ spl12_8 ),
inference(resolution,[],[f553,f179]) ).
fof(f582,plain,
( happens(sK10(n0,filling,n2),sK11(n0,filling,n2))
| ~ spl12_7 ),
inference(resolution,[],[f527,f237]) ).
fof(f583,plain,
( less(n0,sK11(n0,filling,n2))
| ~ spl12_7 ),
inference(resolution,[],[f527,f236]) ).
fof(f585,plain,
( happens(sK10(n0,filling,n2),n1)
| ~ spl12_7
| ~ spl12_11 ),
inference(forward_demodulation,[],[f582,f548]) ).
fof(f688,plain,
( holdsAt(filling,plus(n1,n1))
| releasedAt(filling,plus(n1,n1))
| happens(sK7(filling,n1),n1) ),
inference(resolution,[],[f221,f409]) ).
fof(f689,plain,
( holdsAt(filling,n2)
| releasedAt(filling,plus(n1,n1))
| happens(sK7(filling,n1),n1) ),
inference(forward_demodulation,[],[f688,f128]) ).
fof(f692,plain,
( releasedAt(filling,n2)
| holdsAt(filling,n2)
| happens(sK7(filling,n1),n1) ),
inference(forward_demodulation,[],[f689,f128]) ).
fof(f696,definition,
( spl12_18
<=> happens(sK7(filling,n1),n1) ),
introduced(definition,[new_symbols(definition,[spl12_18])],[avatar_definition]) ).
fof(f697,plain,
( happens(sK7(filling,n1),n1)
| ~ spl12_18 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f699,definition,
( spl12_19
<=> holdsAt(filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_19])],[avatar_definition]) ).
fof(f700,plain,
( holdsAt(filling,n2)
| ~ spl12_19 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f702,definition,
( spl12_20
<=> releasedAt(filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_20])],[avatar_definition]) ).
fof(f703,plain,
( releasedAt(filling,n2)
| ~ spl12_20 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f704,plain,
( spl12_18
| spl12_19
| spl12_20 ),
inference(avatar_split_clause,[],[f692,f702,f699,f696]) ).
fof(f709,plain,
( holdsAt(waterLevel(n3),n1)
| n0 = n1
| ~ spl12_18 ),
inference(resolution,[],[f697,f169]) ).
fof(f730,definition,
( spl12_22
<=> holdsAt(waterLevel(n3),n1) ),
introduced(definition,[new_symbols(definition,[spl12_22])],[avatar_definition]) ).
fof(f731,plain,
( holdsAt(waterLevel(n3),n1)
| ~ spl12_22 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f738,definition,
( spl12_24
<=> n0 = n1 ),
introduced(definition,[new_symbols(definition,[spl12_24])],[avatar_definition]) ).
fof(f739,plain,
( n0 = n1
| ~ spl12_24 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f740,plain,
( spl12_24
| spl12_22
| ~ spl12_18 ),
inference(avatar_split_clause,[],[f709,f696,f730,f738]) ).
fof(f745,plain,
( holdsAt(filling,plus(n2,n1))
| releasedAt(filling,plus(n2,n1))
| happens(sK7(filling,n2),n2)
| ~ spl12_19 ),
inference(resolution,[],[f700,f221]) ).
fof(f747,plain,
( holdsAt(filling,plus(n1,n2))
| releasedAt(filling,plus(n2,n1))
| happens(sK7(filling,n2),n2)
| ~ spl12_19 ),
inference(forward_demodulation,[],[f745,f134]) ).
fof(f748,plain,
( holdsAt(filling,n3)
| releasedAt(filling,plus(n2,n1))
| happens(sK7(filling,n2),n2)
| ~ spl12_19 ),
inference(forward_demodulation,[],[f747,f129]) ).
fof(f749,plain,
( releasedAt(filling,plus(n2,n1))
| happens(sK7(filling,n2),n2)
| ~ spl12_19 ),
inference(forward_subsumption_resolution,[],[f748,f166]) ).
fof(f750,plain,
( releasedAt(filling,plus(n1,n2))
| happens(sK7(filling,n2),n2)
| ~ spl12_19 ),
inference(forward_demodulation,[],[f749,f134]) ).
fof(f751,plain,
( releasedAt(filling,n3)
| happens(sK7(filling,n2),n2)
| ~ spl12_19 ),
inference(forward_demodulation,[],[f750,f129]) ).
fof(f753,definition,
( spl12_25
<=> happens(sK7(filling,n2),n2) ),
introduced(definition,[new_symbols(definition,[spl12_25])],[avatar_definition]) ).
fof(f754,plain,
( happens(sK7(filling,n2),n2)
| ~ spl12_25 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f756,definition,
( spl12_26
<=> releasedAt(filling,n3) ),
introduced(definition,[new_symbols(definition,[spl12_26])],[avatar_definition]) ).
fof(f757,plain,
( releasedAt(filling,n3)
| ~ spl12_26 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f758,plain,
( spl12_25
| spl12_26
| ~ spl12_19 ),
inference(avatar_split_clause,[],[f751,f699,f756,f753]) ).
fof(f759,plain,
( releasedAt(filling,n1)
| happens(sK4(filling,n1),n1)
| ~ spl12_20 ),
inference(resolution,[],[f703,f487]) ).
fof(f760,plain,
( happens(sK4(filling,n1),n1)
| ~ spl12_20 ),
inference(forward_subsumption_resolution,[],[f759,f416]) ).
fof(f763,plain,
( holdsAt(waterLevel(n3),n1)
| n0 = n1
| ~ spl12_20 ),
inference(resolution,[],[f760,f169]) ).
fof(f788,plain,
( spl12_24
| spl12_22
| ~ spl12_20 ),
inference(avatar_split_clause,[],[f763,f702,f730,f738]) ).
fof(f793,plain,
( n1 = n3
| ~ spl12_6
| ~ spl12_22 ),
inference(resolution,[],[f731,f502]) ).
fof(f811,plain,
( ~ holdsAt(filling,n1)
| ~ spl12_6
| ~ spl12_22 ),
inference(superposition,[],[f166,f793]) ).
fof(f838,plain,
( $false
| ~ spl12_6
| ~ spl12_22 ),
inference(forward_subsumption_resolution,[],[f811,f409]) ).
fof(f839,plain,
( ~ spl12_6
| ~ spl12_22 ),
inference(avatar_contradiction_clause,[],[f838]) ).
fof(f853,plain,
( ~ holdsAt(filling,n1)
| ~ spl12_24 ),
inference(superposition,[],[f161,f739]) ).
fof(f884,plain,
( $false
| ~ spl12_24 ),
inference(forward_subsumption_resolution,[],[f853,f409]) ).
fof(f885,plain,
~ spl12_24,
inference(avatar_contradiction_clause,[],[f884]) ).
fof(f892,plain,
( holdsAt(waterLevel(n3),n2)
| n0 = n2
| ~ spl12_25 ),
inference(resolution,[],[f754,f169]) ).
fof(f913,definition,
( spl12_30
<=> holdsAt(waterLevel(n3),n2) ),
introduced(definition,[new_symbols(definition,[spl12_30])],[avatar_definition]) ).
fof(f914,plain,
( holdsAt(waterLevel(n3),n2)
| ~ spl12_30 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f920,plain,
( spl12_2
| spl12_30
| ~ spl12_25 ),
inference(avatar_split_clause,[],[f892,f753,f913,f371]) ).
fof(f1060,plain,
( n0 = sK11(n0,filling,n2)
| ~ spl12_12 ),
inference(resolution,[],[f551,f292]) ).
fof(f1063,plain,
( less(n0,n0)
| ~ spl12_7
| ~ spl12_12 ),
inference(superposition,[],[f583,f1060]) ).
fof(f1068,plain,
( $false
| ~ spl12_7
| ~ spl12_12 ),
inference(forward_subsumption_resolution,[],[f1063,f240]) ).
fof(f1069,plain,
( ~ spl12_7
| ~ spl12_12 ),
inference(avatar_contradiction_clause,[],[f1068]) ).
fof(f1126,plain,
( holdsAt(waterLevel(n3),n1)
| n0 = n1
| ~ spl12_7
| ~ spl12_11 ),
inference(resolution,[],[f585,f169]) ).
fof(f1151,plain,
( spl12_24
| spl12_22
| ~ spl12_7
| ~ spl12_11 ),
inference(avatar_split_clause,[],[f1126,f547,f526,f730,f738]) ).
fof(f1215,plain,
! [X0] :
( ~ releasedAt(X0,n3)
| releasedAt(X0,n2)
| happens(sK4(X0,n2),n2) ),
inference(superposition,[],[f486,f129]) ).
fof(f1219,plain,
( releasedAt(filling,n2)
| happens(sK4(filling,n2),n2)
| ~ spl12_26 ),
inference(resolution,[],[f1215,f757]) ).
fof(f1221,definition,
( spl12_41
<=> happens(sK4(filling,n2),n2) ),
introduced(definition,[new_symbols(definition,[spl12_41])],[avatar_definition]) ).
fof(f1222,plain,
( happens(sK4(filling,n2),n2)
| ~ spl12_41 ),
inference(avatar_component_clause,[],[f1221]) ).
fof(f1223,plain,
( spl12_41
| spl12_20
| ~ spl12_26 ),
inference(avatar_split_clause,[],[f1219,f756,f702,f1221]) ).
fof(f1226,plain,
( holdsAt(waterLevel(n3),n2)
| n0 = n2
| ~ spl12_41 ),
inference(resolution,[],[f1222,f169]) ).
fof(f1252,plain,
( spl12_2
| spl12_30
| ~ spl12_41 ),
inference(avatar_split_clause,[],[f1226,f1221,f913,f371]) ).
fof(f1263,plain,
( n3 = n2
| ~ spl12_8
| ~ spl12_30 ),
inference(resolution,[],[f914,f560]) ).
fof(f1311,plain,
( less(n3,n3)
| ~ spl12_8
| ~ spl12_30 ),
inference(superposition,[],[f264,f1263]) ).
fof(f1348,plain,
( $false
| ~ spl12_8
| ~ spl12_30 ),
inference(forward_subsumption_resolution,[],[f1311,f240]) ).
fof(f1349,plain,
( ~ spl12_8
| ~ spl12_30 ),
inference(avatar_contradiction_clause,[],[f1348]) ).
cnf(s2,plain,
~ spl12_2,
inference(sat_conversion,[],[f387]) ).
cnf(s5,plain,
( spl12_5
| spl12_6 ),
inference(sat_conversion,[],[f466]) ).
cnf(s6,plain,
~ spl12_5,
inference(sat_conversion,[],[f478]) ).
cnf(s7,plain,
( spl12_7
| spl12_8 ),
inference(sat_conversion,[],[f531]) ).
cnf(s9,plain,
( ~ spl12_7
| spl12_11
| spl12_12 ),
inference(sat_conversion,[],[f552]) ).
cnf(s12,plain,
( spl12_18
| spl12_19
| spl12_20 ),
inference(sat_conversion,[],[f704]) ).
cnf(s15,plain,
( ~ spl12_18
| spl12_22
| spl12_24 ),
inference(sat_conversion,[],[f740]) ).
cnf(s17,plain,
( ~ spl12_19
| spl12_25
| spl12_26 ),
inference(sat_conversion,[],[f758]) ).
cnf(s20,plain,
( ~ spl12_20
| spl12_22
| spl12_24 ),
inference(sat_conversion,[],[f788]) ).
cnf(s25,plain,
( ~ spl12_6
| ~ spl12_22 ),
inference(sat_conversion,[],[f839]) ).
cnf(s29,plain,
~ spl12_24,
inference(sat_conversion,[],[f885]) ).
cnf(s32,plain,
( spl12_2
| ~ spl12_25
| spl12_30 ),
inference(sat_conversion,[],[f920]) ).
cnf(s38,plain,
( ~ spl12_7
| ~ spl12_12 ),
inference(sat_conversion,[],[f1069]) ).
cnf(s44,plain,
( ~ spl12_7
| ~ spl12_11
| spl12_22
| spl12_24 ),
inference(sat_conversion,[],[f1151]) ).
cnf(s50,plain,
( spl12_20
| ~ spl12_26
| spl12_41 ),
inference(sat_conversion,[],[f1223]) ).
cnf(s53,plain,
( spl12_2
| spl12_30
| ~ spl12_41 ),
inference(sat_conversion,[],[f1252]) ).
cnf(s62,plain,
( ~ spl12_8
| ~ spl12_30 ),
inference(sat_conversion,[],[f1349]) ).
cnf(s64,plain,
( ~ spl12_20
| spl12_22 ),
inference(rat,[],[s20,s29]) ).
cnf(s66,plain,
( ~ spl12_18
| spl12_22 ),
inference(rat,[],[s15,s29]) ).
cnf(s67,plain,
spl12_6,
inference(rat,[],[s5,s6]) ).
cnf(s68,plain,
~ spl12_22,
inference(rat,[],[s25,s67]) ).
cnf(s69,plain,
~ spl12_20,
inference(rat,[],[s64,s68]) ).
cnf(s70,plain,
~ spl12_18,
inference(rat,[],[s66,s68]) ).
cnf(s71,plain,
spl12_19,
inference(rat,[],[s12,s69,s70]) ).
cnf(s73,plain,
spl12_30,
inference(rat,[],[s17,s50,s32,s53,s71,s69,s2]) ).
cnf(s74,plain,
~ spl12_8,
inference(rat,[],[s62,s73]) ).
cnf(s75,plain,
spl12_7,
inference(rat,[],[s7,s74]) ).
cnf(s76,plain,
~ spl12_11,
inference(rat,[],[s44,s29,s68,s75]) ).
cnf(s77,plain,
~ spl12_12,
inference(rat,[],[s38,s75]) ).
cnf(s78,plain,
$false,
inference(rat,[],[s9,s77,s76,s75]) ).
fof(f1350,plain,
$false,
inference(avatar_sat_refutation,[],[s78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR005+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n011.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 22:05:16 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 7.33/1.85 % (3835097)Detected formulas, will run a generic FOF schedule.
% 7.33/1.85 % (3835190)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2156336769:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.33/1.85 % (3835189)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2983762614:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.33/1.85 % (3835187)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=3049091170:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.33/1.85 % (3835185)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=131105823:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.33/1.85 % (3835188)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1520471385:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.33/1.85 % (3835189)Refutation not found, incomplete strategy
% 7.33/1.85 % (3835189)------------------------------
% 7.33/1.85 % (3835189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/1.85 % (3835189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/1.85 % (3835189)CaDiCaL version: 2.1.3
% 7.33/1.85 % (3835189)Termination reason: Refutation not found, incomplete strategy
% 7.33/1.85 % (3835189)Time elapsed: 0.002 s
% 7.33/1.85 % (3835189)Peak memory usage: 87 MB
% 7.33/1.85 % (3835189)Instructions burned: 1 (million)
% 7.33/1.85 % (3835188)Refutation not found, incomplete strategy
% 7.33/1.85 % (3835188)------------------------------
% 7.33/1.85 % (3835188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/1.85 % (3835188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/1.85 % (3835188)CaDiCaL version: 2.1.3
% 7.33/1.85 % (3835188)Termination reason: Refutation not found, incomplete strategy
% 7.33/1.85 % (3835188)Time elapsed: 0.002 s
% 7.33/1.85 % (3835188)Peak memory usage: 88 MB
% 7.33/1.85 % (3835186)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=1376590678:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.33/1.85 % (3835191)dis-21_1_sil=8000:lcm=predicate:random_seed=2161637912: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)
% 7.33/1.85 % (3835190)Instruction limit reached!
% 7.33/1.85 % (3835190)------------------------------
% 7.33/1.85 % (3835190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/1.85 % (3835190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/1.85 % (3835190)CaDiCaL version: 2.1.3
% 7.33/1.85 % (3835190)Termination reason: Instruction limit
% 7.33/1.85 % (3835190)Termination phase: Saturation
% 7.33/1.85 % (3835190)Time elapsed: 0.057 s
% 7.33/1.85 % (3835190)Peak memory usage: 90 MB
% 7.33/1.85 % (3835190)Instructions burned: 141 (million)
% 7.33/1.85 % (3835191)Instruction limit reached!
% 7.33/1.85 % (3835191)------------------------------
% 7.33/1.85 % (3835191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/1.85 % (3835191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/1.85 % (3835191)CaDiCaL version: 2.1.3
% 7.33/1.85 % (3835191)Termination reason: Instruction limit
% 7.33/1.85 % (3835191)Termination phase: Saturation
% 7.33/1.85 % (3835191)Time elapsed: 0.076 s
% 7.33/1.85 % (3835191)Peak memory usage: 89 MB
% 7.33/1.85 % (3835191)Instructions burned: 130 (million)
% 7.33/1.85 % (3835237)lrs+10_1_sil=8000:sp=occurrence:random_seed=1535113394:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 7.33/1.85 % (3835189)------------------------------
% 7.33/1.85 % (3835189)------------------------------
% 7.33/1.85 % (3835188)------------------------------
% 7.33/1.85 % (3835188)------------------------------
% 7.33/1.85 % (3835247)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3808193270:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.33/1.85 % (3835247)Refutation not found, incomplete strategy
% 7.33/1.85 % (3835247)------------------------------
% 7.33/1.85 % (3835247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/1.85 % (3835247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/1.85 % (3835247)CaDiCaL version: 2.1.3
% 7.33/1.85 % (3835247)Termination reason: Refutation not found, incomplete strategy
% 7.33/1.85 % (3835247)Time elapsed: 0.001 s
% 7.33/1.85 % (3835247)Peak memory usage: 88 MB
% 7.33/1.85 % (3835237)Instruction limit reached!
% 7.33/1.85 % (3835237)------------------------------
% 7.33/1.85 % (3835237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/1.85 % (3835237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/1.85 % (3835237)CaDiCaL version: 2.1.3
% 7.33/1.85 % (3835237)Termination reason: Instruction limit
% 7.33/1.85 % (3835237)Termination phase: Saturation
% 7.33/1.85 % (3835237)Time elapsed: 0.165 s
% 7.33/1.85 % (3835237)Peak memory usage: 90 MB
% 7.33/1.85 % (3835237)Instructions burned: 285 (million)
% 7.33/1.85 % (3835251)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=2911530957:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.33/1.85 % (3835250)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2558826511:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 7.33/1.85 % (3835247)------------------------------
% 7.33/1.85 % (3835247)------------------------------
% 7.33/1.85 % (3835252)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2159964501:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 7.33/1.85 % (3835251)Instruction limit reached!
% 7.33/1.85 % (3835251)------------------------------
% 7.33/1.85 % (3835251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/1.85 % (3835251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/1.85 % (3835251)CaDiCaL version: 2.1.3
% 7.33/1.85 % (3835251)Termination reason: Instruction limit
% 7.33/1.85 % (3835251)Termination phase: Saturation
% 7.33/1.85 % (3835251)Time elapsed: 0.212 s
% 7.33/1.85 % (3835251)Peak memory usage: 90 MB
% 7.33/1.85 % (3835251)Instructions burned: 249 (million)
% 7.33/1.85 % (3835250)Instruction limit reached!
% 7.33/1.85 % (3835250)------------------------------
% 7.33/1.85 % (3835250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/1.85 % (3835250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/1.85 % (3835250)CaDiCaL version: 2.1.3
% 7.33/1.85 % (3835250)Termination reason: Instruction limit
% 7.33/1.85 % (3835250)Termination phase: Saturation
% 7.33/1.85 % (3835250)Time elapsed: 0.283 s
% 7.33/1.85 % (3835250)Peak memory usage: 90 MB
% 7.33/1.85 % (3835250)Instructions burned: 326 (million)
% 7.33/1.85 % (3835186)First to succeed.
% 7.33/1.85 % (3835186)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3835097"
% 7.33/1.85 % (3835187)Refutation not found, incomplete strategy
% 7.33/1.85 % (3835187)------------------------------
% 7.33/1.85 % (3835187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/1.85 % (3835187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/1.85 % (3835187)CaDiCaL version: 2.1.3
% 7.33/1.85 % (3835187)Termination reason: Refutation not found, incomplete strategy
% 7.33/1.85 % (3835187)Time elapsed: 0.728 s
% 7.33/1.85 % (3835187)Peak memory usage: 128 MB
% 7.33/1.85 % (3835187)Instructions burned: 899 (million)
% 7.33/1.85 % (3835185)Also succeeded, but the first one will report.
% 7.33/1.85 % (3835265)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3477093294:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 7.33/1.85 % (3835252)Instruction limit reached!
% 7.33/1.85 % (3835252)------------------------------
% 7.33/1.85 % (3835252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/1.85 % (3835252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/1.85 % (3835252)CaDiCaL version: 2.1.3
% 7.33/1.85 % (3835252)Termination reason: Instruction limit
% 7.33/1.85 % (3835252)Termination phase: Saturation
% 7.33/1.85 % (3835252)Time elapsed: 0.285 s
% 7.33/1.85 % (3835252)Peak memory usage: 89 MB
% 7.33/1.85 % (3835252)Instructions burned: 295 (million)
% 7.33/1.85 % (3835272)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3894663915:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 7.33/1.85 % (3835272)Refutation not found, incomplete strategy
% 7.33/1.85 % (3835272)------------------------------
% 7.33/1.85 % (3835272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/1.85 % (3835272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/1.85 % (3835272)CaDiCaL version: 2.1.3
% 7.33/1.85 % (3835272)Termination reason: Refutation not found, incomplete strategy
% 7.33/1.85 % (3835272)Time elapsed: 0.004 s
% 7.33/1.85 % (3835272)Peak memory usage: 88 MB
% 7.33/1.85 % (3835272)Instructions burned: 2 (million)
% 7.33/1.85 % (3835275)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1340683061:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 7.33/1.85 % (3835186)Refutation found. Thanks to Tanya!
% 7.33/1.85 % SZS status Theorem for theBenchmark
% 7.33/1.85 % SZS output start Proof for theBenchmark
% See solution above
% 8.88/2.17 % (3835186)------------------------------
% 8.88/2.17 % (3835186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.88/2.17 % (3835186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.88/2.17 % (3835186)CaDiCaL version: 2.1.3
% 8.88/2.17 % (3835186)Termination reason: Refutation
% 8.88/2.17 % (3835186)Time elapsed: 0.710 s
% 8.88/2.17 % (3835186)Peak memory usage: 131 MB
% 8.88/2.17 % (3835186)Instructions burned: 1075 (million)
% 8.88/2.17 % (3835186)------------------------------
% 8.88/2.17 % (3835186)------------------------------
% 8.88/2.17 % (3835097)Success in time 1.163 s
% 8.88/2.17 % Vampire exiting
%------------------------------------------------------------------------------