%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR001+2 : 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 : n003.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 09:41:55 AM UTC 2026
% Result : Theorem 5.59s 1.54s
% Output : Refutation 6.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 51
% Syntax : Number of formulae : 343 ( 58 unt; 23 def)
% Number of atoms : 1038 ( 225 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 1128 ( 433 ~; 525 |; 128 &)
% ( 34 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 23 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 10 con; 0-3 aty)
% Number of variables : 368 ( 0 sgn 341 !; 27 ?)
% 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(f11,axiom,
! [X0,X1,X2] :
( ( happens(X0,X1)
& releases(X0,X2,X1) )
=> releasedAt(X2,plus(X1,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_releases) ).
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(f15,axiom,
! [X0,X1,X2] :
( releases(X0,X1,X2)
<=> ? [X3] :
( X0 = tapOn
& X1 = waterLevel(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/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(f32,axiom,
plus(n1,n3) = n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_3) ).
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(f52,axiom,
! [X0] : ~ releasedAt(waterLevel(X0),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_released_waterLevel_0) ).
fof(f55,axiom,
holdsAt(waterLevel(n3),n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_3) ).
fof(f56,conjecture,
holdsAt(waterLevel(n3),n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_4) ).
fof(f57,negated_conjecture,
~ holdsAt(waterLevel(n3),n4),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f58,plain,
~ holdsAt(waterLevel(n3),n4),
inference(flattening,[],[f57]) ).
fof(f59,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(f60,plain,
! [X0] : ~ less(X0,n0),
inference(ennf_transformation,[],[f38]) ).
fof(f61,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ holdsAt(waterLevel(X1),X0)
| ~ holdsAt(waterLevel(X2),X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f62,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ holdsAt(waterLevel(X1),X0)
| ~ holdsAt(waterLevel(X2),X0) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( trajectory(filling,X1,waterLevel(X2),X3)
| ~ holdsAt(waterLevel(X0),X1)
| plus(X0,X3) != X2 ),
inference(ennf_transformation,[],[f17]) ).
fof(f64,plain,
! [X0,X1,X2,X3] :
( trajectory(filling,X1,waterLevel(X2),X3)
| ~ holdsAt(waterLevel(X0),X1)
| plus(X0,X3) != X2 ),
inference(flattening,[],[f63]) ).
fof(f65,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(f66,plain,
! [X0,X1,X2] :
( ~ releasedAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ( ~ initiates(X0,X2,X1)
& ~ terminates(X0,X2,X1) ) ),
inference(flattening,[],[f65]) ).
fof(f67,plain,
! [X0,X1,X2] :
( releasedAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ releases(X0,X2,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f68,plain,
! [X0,X1,X2] :
( releasedAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ releases(X0,X2,X1) ),
inference(flattening,[],[f67]) ).
fof(f69,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| releasedAt(X0,X1)
| ? [X2] :
( happens(X2,X1)
& releases(X2,X0,X1) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f70,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| releasedAt(X0,X1)
| ? [X2] :
( happens(X2,X1)
& releases(X2,X0,X1) ) ),
inference(flattening,[],[f69]) ).
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(ennf_transformation,[],[f5]) ).
fof(f76,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,[],[f75]) ).
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(ennf_transformation,[],[f3]) ).
fof(f78,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,[],[f77]) ).
fof(f83,plain,
! [X0,X1,X2] :
( holdsAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f84,plain,
! [X0,X1,X2] :
( holdsAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1) ),
inference(flattening,[],[f83]) ).
fof(f85,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(f86,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,[],[f59,f85]) ).
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(nnf_transformation,[],[f37]) ).
fof(f88,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,[],[f87]) ).
fof(f89,plain,
! [X0] :
( ( less(X0,n1)
| ~ less_or_equal(X0,n0) )
& ( less_or_equal(X0,n0)
| ~ less(X0,n1) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f90,plain,
! [X0] :
( ( less(X0,n2)
| ~ less_or_equal(X0,n1) )
& ( less_or_equal(X0,n1)
| ~ less(X0,n2) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f91,plain,
! [X0] :
( ( less(X0,n3)
| ~ less_or_equal(X0,n2) )
& ( less_or_equal(X0,n2)
| ~ less(X0,n3) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f98,plain,
! [X0,X1] :
( ( less(X0,X1)
| less(X1,X0)
| X0 = X1 )
& ( ( ~ less(X1,X0)
& X1 != X0 )
| ~ less(X0,X1) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f99,plain,
! [X0,X1] :
( ( less(X0,X1)
| less(X1,X0)
| X0 = X1 )
& ( ( ~ less(X1,X0)
& X1 != X0 )
| ~ less(X0,X1) ) ),
inference(flattening,[],[f98]) ).
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(nnf_transformation,[],[f16]) ).
fof(f101,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,[],[f100]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ( sP0(X2,X0,X1)
| ! [X4] :
( ~ holdsAt(waterLevel(X4),X2)
| overflow != X0
| waterLevel(X4) != X1 ) )
& ( ? [X4] :
( holdsAt(waterLevel(X4),X2)
& X0 = overflow
& waterLevel(X4) = X1 )
| ~ sP0(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f85]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ! [X3] :
( ~ holdsAt(waterLevel(X3),X0)
| overflow != X1
| waterLevel(X3) != X2 ) )
& ( ? [X4] :
( holdsAt(waterLevel(X4),X0)
& overflow = X1
& waterLevel(X4) = X2 )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f105]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ! [X3] :
( ~ holdsAt(waterLevel(X3),X0)
| overflow != X1
| waterLevel(X3) != X2 ) )
& ( ( holdsAt(waterLevel(sK1(X0,X1,X2)),X0)
& overflow = X1
& waterLevel(sK1(X0,X1,X2)) = X2 )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X4,sK1(X0,X1,X2))],[f106]) ).
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,[],[f86]) ).
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(sK2(X0,X1,X2)),X2)
& X0 = tapOff
& waterLevel(sK2(X0,X1,X2)) = X1 )
| sP0(X2,X0,X1)
| ~ initiates(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X4,sK2(X0,X1,X2))],[f110]) ).
fof(f112,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| releasedAt(X0,X1)
| ( happens(sK3(X0,X1),X1)
& releases(sK3(X0,X1),X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f70]) ).
fof(f115,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1)
| releasedAt(X0,plus(X1,n1))
| ( happens(sK6(X0,X1),X1)
& terminates(sK6(X0,X1),X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f76]) ).
fof(f116,plain,
! [X0,X1,X2] :
( ( releases(X0,X1,X2)
| ! [X3] :
( tapOn != X0
| waterLevel(X3) != X1 ) )
& ( ? [X3] :
( X0 = tapOn
& X1 = waterLevel(X3) )
| ~ releases(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f117,plain,
! [X0,X1,X2] :
( ( releases(X0,X1,X2)
| ! [X3] :
( tapOn != X0
| waterLevel(X3) != X1 ) )
& ( ? [X4] :
( X0 = tapOn
& waterLevel(X4) = X1 )
| ~ releases(X0,X1,X2) ) ),
inference(rectify,[],[f116]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ( releases(X0,X1,X2)
| ! [X3] :
( tapOn != X0
| waterLevel(X3) != X1 ) )
& ( ( X0 = tapOn
& waterLevel(sK7(X0,X1)) = X1 )
| ~ releases(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X4,sK7(X0,X1))],[f117]) ).
fof(f119,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(f120,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,[],[f119]) ).
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) ) )
& ( ( happens(sK8(X0,X1,X2),sK9(X0,X1,X2))
& less(X0,sK9(X0,X1,X2))
& less(sK9(X0,X1,X2),X2)
& terminates(sK8(X0,X1,X2),X1,sK9(X0,X1,X2)) )
| ~ stoppedIn(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X5,sK8(X0,X1,X2)),skolemize(X6,sK9(X0,X1,X2))],[f120]) ).
fof(f126,plain,
n1 = plus(n0,n1),
inference(cnf_transformation,[],[f27]) ).
fof(f127,plain,
n2 = plus(n0,n2),
inference(cnf_transformation,[],[f28]) ).
fof(f129,plain,
n2 = plus(n1,n1),
inference(cnf_transformation,[],[f30]) ).
fof(f130,plain,
n3 = plus(n1,n2),
inference(cnf_transformation,[],[f31]) ).
fof(f131,plain,
plus(n1,n3) = n4,
inference(cnf_transformation,[],[f32]) ).
fof(f135,plain,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
inference(cnf_transformation,[],[f36]) ).
fof(f136,plain,
! [X0,X1] :
( ~ less_or_equal(X0,X1)
| X0 = X1
| less(X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
fof(f137,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f88]) ).
fof(f139,plain,
! [X0] : ~ less(X0,n0),
inference(cnf_transformation,[],[f60]) ).
fof(f140,plain,
! [X0] :
( ~ less(X0,n1)
| less_or_equal(X0,n0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f141,plain,
! [X0] :
( ~ less_or_equal(X0,n0)
| less(X0,n1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f142,plain,
! [X0] :
( ~ less(X0,n2)
| less_or_equal(X0,n1) ),
inference(cnf_transformation,[],[f90]) ).
fof(f143,plain,
! [X0] :
( ~ less_or_equal(X0,n1)
| less(X0,n2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f145,plain,
! [X0] :
( ~ less_or_equal(X0,n2)
| less(X0,n3) ),
inference(cnf_transformation,[],[f91]) ).
fof(f158,plain,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f159,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ less(X1,X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f160,plain,
! [X0,X1] :
( less(X0,X1)
| less(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f99]) ).
fof(f161,plain,
holdsAt(waterLevel(n0),n0),
inference(cnf_transformation,[],[f49]) ).
fof(f164,plain,
! [X0] : ~ releasedAt(waterLevel(X0),n0),
inference(cnf_transformation,[],[f52]) ).
fof(f167,plain,
holdsAt(waterLevel(n3),n3),
inference(cnf_transformation,[],[f55]) ).
fof(f168,plain,
~ holdsAt(waterLevel(n3),n4),
inference(cnf_transformation,[],[f58]) ).
fof(f171,plain,
! [X0,X1] :
( ~ happens(X0,X1)
| holdsAt(waterLevel(n3),X1)
| n0 = X1 ),
inference(cnf_transformation,[],[f101]) ).
fof(f175,plain,
! [X0,X1] :
( happens(X0,X1)
| ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1)
| overflow != X0 ),
inference(cnf_transformation,[],[f101]) ).
fof(f176,plain,
! [X0,X1] :
( happens(X0,X1)
| tapOn != X0
| n0 != X1 ),
inference(cnf_transformation,[],[f101]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ holdsAt(waterLevel(X2),X0)
| ~ holdsAt(waterLevel(X1),X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f62]) ).
fof(f182,plain,
! [X2,X3,X0,X1] :
( trajectory(filling,X1,waterLevel(X2),X3)
| ~ holdsAt(waterLevel(X0),X1)
| plus(X0,X3) != X2 ),
inference(cnf_transformation,[],[f64]) ).
fof(f192,plain,
! [X2,X3,X0,X1] :
( sP0(X0,X1,X2)
| ~ holdsAt(waterLevel(X3),X0)
| overflow != X1
| waterLevel(X3) != X2 ),
inference(cnf_transformation,[],[f107]) ).
fof(f205,plain,
! [X2,X0,X1] :
( initiates(X0,X1,X2)
| ~ sP0(X2,X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f208,plain,
! [X2,X0,X1] :
( initiates(X0,X1,X2)
| tapOn != X0
| filling != X1 ),
inference(cnf_transformation,[],[f111]) ).
fof(f211,plain,
! [X2,X0,X1] :
( ~ happens(X0,X1)
| ~ releasedAt(X2,plus(X1,n1))
| ~ initiates(X0,X2,X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f212,plain,
! [X2,X0,X1] :
( ~ happens(X0,X1)
| releasedAt(X2,plus(X1,n1))
| ~ releases(X0,X2,X1) ),
inference(cnf_transformation,[],[f68]) ).
fof(f214,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| releasedAt(X0,X1)
| happens(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f220,plain,
! [X0,X1] :
( ~ holdsAt(X0,X1)
| holdsAt(X0,plus(X1,n1))
| releasedAt(X0,plus(X1,n1))
| happens(sK6(X0,X1),X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f225,plain,
! [X2,X3,X0,X1] :
( releases(X0,X1,X2)
| tapOn != X0
| waterLevel(X3) != X1 ),
inference(cnf_transformation,[],[f118]) ).
fof(f227,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,[],[f78]) ).
fof(f231,plain,
! [X2,X0,X1] :
( ~ stoppedIn(X0,X1,X2)
| less(sK9(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f121]) ).
fof(f232,plain,
! [X2,X0,X1] :
( ~ stoppedIn(X0,X1,X2)
| less(X0,sK9(X0,X1,X2)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f233,plain,
! [X2,X0,X1] :
( ~ stoppedIn(X0,X1,X2)
| happens(sK8(X0,X1,X2),sK9(X0,X1,X2)) ),
inference(cnf_transformation,[],[f121]) ).
fof(f235,plain,
! [X2,X0,X1] :
( ~ happens(X0,X1)
| holdsAt(X2,plus(X1,n1))
| ~ initiates(X0,X2,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f241,plain,
! [X1] : less_or_equal(X1,X1),
inference(equality_resolution,[],[f137]) ).
fof(f242,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f158]) ).
fof(f243,plain,
! [X1] :
( happens(tapOn,X1)
| n0 != X1 ),
inference(equality_resolution,[],[f176]) ).
fof(f244,plain,
happens(tapOn,n0),
inference(equality_resolution,[],[f243]) ).
fof(f245,plain,
! [X1] :
( ~ holdsAt(filling,X1)
| ~ holdsAt(waterLevel(n3),X1)
| happens(overflow,X1) ),
inference(equality_resolution,[],[f175]) ).
fof(f247,plain,
! [X3,X0,X1] :
( trajectory(filling,X1,waterLevel(plus(X0,X3)),X3)
| ~ holdsAt(waterLevel(X0),X1) ),
inference(equality_resolution,[],[f182]) ).
fof(f252,plain,
! [X2,X3,X0] :
( sP0(X0,overflow,X2)
| ~ holdsAt(waterLevel(X3),X0)
| waterLevel(X3) != X2 ),
inference(equality_resolution,[],[f192]) ).
fof(f253,plain,
! [X3,X0] :
( sP0(X0,overflow,waterLevel(X3))
| ~ holdsAt(waterLevel(X3),X0) ),
inference(equality_resolution,[],[f252]) ).
fof(f254,plain,
! [X2,X1] :
( initiates(tapOn,X1,X2)
| filling != X1 ),
inference(equality_resolution,[],[f208]) ).
fof(f255,plain,
! [X2] : initiates(tapOn,filling,X2),
inference(equality_resolution,[],[f254]) ).
fof(f260,plain,
! [X2,X3,X1] :
( releases(tapOn,X1,X2)
| waterLevel(X3) != X1 ),
inference(equality_resolution,[],[f225]) ).
fof(f261,plain,
! [X2,X3] : releases(tapOn,waterLevel(X3),X2),
inference(equality_resolution,[],[f260]) ).
fof(f264,plain,
n1 = plus(n1,n0),
inference(forward_demodulation,[],[f126,f135]) ).
fof(f269,plain,
less(n2,n3),
inference(resolution,[],[f241,f145]) ).
fof(f275,plain,
less(n1,n2),
inference(resolution,[],[f143,f241]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ holdsAt(waterLevel(X1),X2)
| trajectory(filling,X2,waterLevel(plus(X0,X1)),X0) ),
inference(superposition,[],[f247,f135]) ).
fof(f290,plain,
less(n0,n1),
inference(resolution,[],[f141,f241]) ).
fof(f291,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,[],[f290,f227]) ).
fof(f298,plain,
! [X0] :
( trajectory(filling,X0,waterLevel(n2),n2)
| ~ holdsAt(waterLevel(n0),X0) ),
inference(superposition,[],[f247,f127]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4] :
( less(X0,n0)
| n0 = X0
| ~ happens(X1,X2)
| ~ initiates(X1,X3,X2)
| holdsAt(X4,plus(X2,X0))
| ~ trajectory(X3,X2,X4,X0)
| stoppedIn(X2,X3,plus(X2,X0)) ),
inference(resolution,[],[f160,f227]) ).
fof(f313,plain,
! [X0] :
( less_or_equal(X0,n0)
| n1 = X0
| less(n1,X0) ),
inference(resolution,[],[f160,f140]) ).
fof(f315,plain,
! [X0] :
( less_or_equal(X0,n1)
| n2 = X0
| less(n2,X0) ),
inference(resolution,[],[f160,f142]) ).
fof(f318,plain,
! [X2,X3,X0,X1,X4] :
( ~ happens(X1,X2)
| n0 = X0
| ~ initiates(X1,X3,X2)
| holdsAt(X4,plus(X2,X0))
| ~ trajectory(X3,X2,X4,X0)
| stoppedIn(X2,X3,plus(X2,X0)) ),
inference(forward_subsumption_resolution,[],[f309,f139]) ).
fof(f331,plain,
~ less(n2,n1),
inference(resolution,[],[f159,f275]) ).
fof(f341,plain,
! [X0] :
( ~ releasedAt(X0,plus(n0,n1))
| ~ initiates(tapOn,X0,n0) ),
inference(resolution,[],[f244,f211]) ).
fof(f342,plain,
! [X0] :
( releasedAt(X0,plus(n0,n1))
| ~ releases(tapOn,X0,n0) ),
inference(resolution,[],[f244,f212]) ).
fof(f343,plain,
! [X0] :
( holdsAt(X0,plus(n0,n1))
| ~ initiates(tapOn,X0,n0) ),
inference(resolution,[],[f244,f235]) ).
fof(f344,plain,
! [X0] :
( holdsAt(X0,plus(n1,n0))
| ~ initiates(tapOn,X0,n0) ),
inference(forward_demodulation,[],[f343,f135]) ).
fof(f345,plain,
! [X0] :
( releasedAt(X0,plus(n1,n0))
| ~ releases(tapOn,X0,n0) ),
inference(forward_demodulation,[],[f342,f135]) ).
fof(f346,plain,
! [X0] :
( ~ releasedAt(X0,plus(n1,n0))
| ~ initiates(tapOn,X0,n0) ),
inference(forward_demodulation,[],[f341,f135]) ).
fof(f348,plain,
! [X0] :
( ~ initiates(tapOn,X0,n0)
| holdsAt(X0,n1) ),
inference(forward_demodulation,[],[f344,f264]) ).
fof(f349,plain,
! [X0] :
( ~ releases(tapOn,X0,n0)
| releasedAt(X0,n1) ),
inference(forward_demodulation,[],[f345,f264]) ).
fof(f350,plain,
! [X0] :
( ~ releasedAt(X0,n1)
| ~ initiates(tapOn,X0,n0) ),
inference(forward_demodulation,[],[f346,f264]) ).
fof(f356,plain,
! [X0] : trajectory(filling,n0,waterLevel(plus(X0,n0)),X0),
inference(resolution,[],[f281,f161]) ).
fof(f357,plain,
trajectory(filling,n0,waterLevel(n1),n1),
inference(superposition,[],[f356,f264]) ).
fof(f408,plain,
! [X0] :
( less(n2,X0)
| less(X0,n1)
| n1 = X0
| n2 = X0 ),
inference(resolution,[],[f315,f136]) ).
fof(f436,definition,
( spl12_5
<=> holdsAt(waterLevel(n3),n2) ),
introduced(definition,[new_symbols(definition,[spl12_5])],[avatar_definition]) ).
fof(f437,plain,
( holdsAt(waterLevel(n3),n2)
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f443,plain,
! [X0] : releasedAt(waterLevel(X0),n1),
inference(resolution,[],[f261,f349]) ).
fof(f451,plain,
! [X0] :
( n1 = X0
| less(n1,X0)
| n0 = X0
| less(X0,n0) ),
inference(resolution,[],[f313,f136]) ).
fof(f452,plain,
! [X0] :
( less(n1,X0)
| n1 = X0
| n0 = X0 ),
inference(forward_subsumption_resolution,[],[f451,f139]) ).
fof(f454,plain,
! [X0] :
( ~ less(X0,n1)
| n0 = X0
| n1 = X0 ),
inference(resolution,[],[f452,f159]) ).
fof(f612,plain,
! [X0] :
( ~ releasedAt(X0,n2)
| releasedAt(X0,n1)
| happens(sK3(X0,n1),n1) ),
inference(superposition,[],[f214,f129]) ).
fof(f614,plain,
! [X0,X1] :
( ~ releasedAt(X1,plus(n1,X0))
| releasedAt(X1,X0)
| happens(sK3(X1,X0),X0) ),
inference(superposition,[],[f214,f135]) ).
fof(f617,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,[],[f291,f244]) ).
fof(f618,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,[],[f617,f135]) ).
fof(f619,plain,
! [X0,X1] :
( holdsAt(X1,n1)
| ~ initiates(tapOn,X0,n0)
| ~ trajectory(X0,n0,X1,n1)
| stoppedIn(n0,X0,plus(n0,n1)) ),
inference(forward_demodulation,[],[f618,f264]) ).
fof(f620,plain,
! [X0,X1] :
( stoppedIn(n0,X0,plus(n1,n0))
| holdsAt(X1,n1)
| ~ initiates(tapOn,X0,n0)
| ~ trajectory(X0,n0,X1,n1) ),
inference(forward_demodulation,[],[f619,f135]) ).
fof(f621,plain,
! [X0,X1] :
( ~ initiates(tapOn,X0,n0)
| holdsAt(X1,n1)
| stoppedIn(n0,X0,n1)
| ~ trajectory(X0,n0,X1,n1) ),
inference(forward_demodulation,[],[f620,f264]) ).
fof(f624,plain,
holdsAt(filling,n1),
inference(resolution,[],[f255,f348]) ).
fof(f631,definition,
( spl12_12
<=> holdsAt(waterLevel(n3),n1) ),
introduced(definition,[new_symbols(definition,[spl12_12])],[avatar_definition]) ).
fof(f632,plain,
( ~ holdsAt(waterLevel(n3),n1)
| spl12_12 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f634,plain,
! [X0] :
( holdsAt(X0,n1)
| stoppedIn(n0,filling,n1)
| ~ trajectory(filling,n0,X0,n1) ),
inference(resolution,[],[f621,f255]) ).
fof(f637,definition,
( spl12_13
<=> stoppedIn(n0,filling,n1) ),
introduced(definition,[new_symbols(definition,[spl12_13])],[avatar_definition]) ).
fof(f638,plain,
( stoppedIn(n0,filling,n1)
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f640,definition,
( spl12_14
<=> ! [X0] :
( holdsAt(X0,n1)
| ~ trajectory(filling,n0,X0,n1) ) ),
introduced(definition,[new_symbols(definition,[spl12_14])],[avatar_definition]) ).
fof(f641,plain,
( ! [X0] :
( ~ trajectory(filling,n0,X0,n1)
| holdsAt(X0,n1) )
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f642,plain,
( spl12_13
| spl12_14 ),
inference(avatar_split_clause,[],[f634,f640,f637]) ).
fof(f644,plain,
( less(sK9(n0,filling,n1),n1)
| ~ spl12_13 ),
inference(resolution,[],[f638,f231]) ).
fof(f646,plain,
( n0 = sK9(n0,filling,n1)
| n1 = sK9(n0,filling,n1)
| ~ spl12_13 ),
inference(resolution,[],[f644,f454]) ).
fof(f651,definition,
( spl12_15
<=> n1 = sK9(n0,filling,n1) ),
introduced(definition,[new_symbols(definition,[spl12_15])],[avatar_definition]) ).
fof(f652,plain,
( n1 = sK9(n0,filling,n1)
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f654,definition,
( spl12_16
<=> n0 = sK9(n0,filling,n1) ),
introduced(definition,[new_symbols(definition,[spl12_16])],[avatar_definition]) ).
fof(f655,plain,
( n0 = sK9(n0,filling,n1)
| ~ spl12_16 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f656,plain,
( spl12_15
| spl12_16
| ~ spl12_13 ),
inference(avatar_split_clause,[],[f646,f637,f654,f651]) ).
fof(f659,plain,
( holdsAt(filling,plus(n1,n1))
| releasedAt(filling,plus(n1,n1))
| happens(sK6(filling,n1),n1) ),
inference(resolution,[],[f220,f624]) ).
fof(f660,plain,
( holdsAt(filling,n2)
| releasedAt(filling,plus(n1,n1))
| happens(sK6(filling,n1),n1) ),
inference(forward_demodulation,[],[f659,f129]) ).
fof(f663,plain,
( releasedAt(filling,n2)
| holdsAt(filling,n2)
| happens(sK6(filling,n1),n1) ),
inference(forward_demodulation,[],[f660,f129]) ).
fof(f667,definition,
( spl12_17
<=> happens(sK6(filling,n1),n1) ),
introduced(definition,[new_symbols(definition,[spl12_17])],[avatar_definition]) ).
fof(f668,plain,
( happens(sK6(filling,n1),n1)
| ~ spl12_17 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f670,definition,
( spl12_18
<=> holdsAt(filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_18])],[avatar_definition]) ).
fof(f671,plain,
( holdsAt(filling,n2)
| ~ spl12_18 ),
inference(avatar_component_clause,[],[f670]) ).
fof(f673,definition,
( spl12_19
<=> releasedAt(filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_19])],[avatar_definition]) ).
fof(f674,plain,
( releasedAt(filling,n2)
| ~ spl12_19 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f675,plain,
( spl12_17
| spl12_18
| spl12_19 ),
inference(avatar_split_clause,[],[f663,f673,f670,f667]) ).
fof(f712,definition,
( spl12_23
<=> holdsAt(filling,n3) ),
introduced(definition,[new_symbols(definition,[spl12_23])],[avatar_definition]) ).
fof(f713,plain,
( holdsAt(filling,n3)
| ~ spl12_23 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f730,plain,
( holdsAt(waterLevel(n3),n1)
| n0 = n1
| ~ spl12_17 ),
inference(resolution,[],[f668,f171]) ).
fof(f756,plain,
( n0 = n1
| spl12_12
| ~ spl12_17 ),
inference(forward_subsumption_resolution,[],[f730,f632]) ).
fof(f758,definition,
( spl12_27
<=> n0 = n1 ),
introduced(definition,[new_symbols(definition,[spl12_27])],[avatar_definition]) ).
fof(f759,plain,
( n0 = n1
| ~ spl12_27 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f763,plain,
( spl12_27
| spl12_12
| ~ spl12_17 ),
inference(avatar_split_clause,[],[f756,f667,f631,f758]) ).
fof(f767,plain,
( holdsAt(filling,plus(n2,n1))
| releasedAt(filling,plus(n2,n1))
| happens(sK6(filling,n2),n2)
| ~ spl12_18 ),
inference(resolution,[],[f671,f220]) ).
fof(f768,plain,
( holdsAt(filling,plus(n1,n2))
| releasedAt(filling,plus(n2,n1))
| happens(sK6(filling,n2),n2)
| ~ spl12_18 ),
inference(forward_demodulation,[],[f767,f135]) ).
fof(f772,plain,
( ~ holdsAt(waterLevel(n3),n2)
| spl12_5 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f774,plain,
( holdsAt(filling,n3)
| releasedAt(filling,plus(n2,n1))
| happens(sK6(filling,n2),n2)
| ~ spl12_18 ),
inference(forward_demodulation,[],[f768,f130]) ).
fof(f775,plain,
( releasedAt(filling,plus(n1,n2))
| holdsAt(filling,n3)
| happens(sK6(filling,n2),n2)
| ~ spl12_18 ),
inference(forward_demodulation,[],[f774,f135]) ).
fof(f776,plain,
( releasedAt(filling,n3)
| holdsAt(filling,n3)
| happens(sK6(filling,n2),n2)
| ~ spl12_18 ),
inference(forward_demodulation,[],[f775,f130]) ).
fof(f778,definition,
( spl12_29
<=> happens(sK6(filling,n2),n2) ),
introduced(definition,[new_symbols(definition,[spl12_29])],[avatar_definition]) ).
fof(f779,plain,
( happens(sK6(filling,n2),n2)
| ~ spl12_29 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f781,definition,
( spl12_30
<=> releasedAt(filling,n3) ),
introduced(definition,[new_symbols(definition,[spl12_30])],[avatar_definition]) ).
fof(f782,plain,
( releasedAt(filling,n3)
| ~ spl12_30 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f783,plain,
( spl12_29
| spl12_23
| spl12_30
| ~ spl12_18 ),
inference(avatar_split_clause,[],[f776,f670,f781,f712,f778]) ).
fof(f784,plain,
( releasedAt(filling,n1)
| happens(sK3(filling,n1),n1)
| ~ spl12_19 ),
inference(resolution,[],[f674,f612]) ).
fof(f786,definition,
( spl12_31
<=> happens(sK3(filling,n1),n1) ),
introduced(definition,[new_symbols(definition,[spl12_31])],[avatar_definition]) ).
fof(f787,plain,
( happens(sK3(filling,n1),n1)
| ~ spl12_31 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f789,definition,
( spl12_32
<=> releasedAt(filling,n1) ),
introduced(definition,[new_symbols(definition,[spl12_32])],[avatar_definition]) ).
fof(f790,plain,
( releasedAt(filling,n1)
| ~ spl12_32 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f791,plain,
( spl12_31
| spl12_32
| ~ spl12_19 ),
inference(avatar_split_clause,[],[f784,f673,f789,f786]) ).
fof(f792,plain,
( ~ holdsAt(waterLevel(n3),n3)
| happens(overflow,n3)
| ~ spl12_23 ),
inference(resolution,[],[f713,f245]) ).
fof(f796,plain,
( happens(overflow,n3)
| ~ spl12_23 ),
inference(forward_subsumption_resolution,[],[f792,f167]) ).
fof(f816,plain,
( ! [X0] : ~ releasedAt(waterLevel(X0),n1)
| ~ spl12_27 ),
inference(superposition,[],[f164,f759]) ).
fof(f842,plain,
( $false
| ~ spl12_27 ),
inference(forward_subsumption_resolution,[],[f816,f443]) ).
fof(f843,plain,
~ spl12_27,
inference(avatar_contradiction_clause,[],[f842]) ).
fof(f866,plain,
( holdsAt(waterLevel(n3),n1)
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f890,plain,
( holdsAt(waterLevel(n3),n2)
| n0 = n2
| ~ spl12_29 ),
inference(resolution,[],[f779,f171]) ).
fof(f916,plain,
( n0 = n2
| spl12_5
| ~ spl12_29 ),
inference(forward_subsumption_resolution,[],[f890,f772]) ).
fof(f918,definition,
( spl12_40
<=> n0 = n2 ),
introduced(definition,[new_symbols(definition,[spl12_40])],[avatar_definition]) ).
fof(f919,plain,
( n0 = n2
| ~ spl12_40 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f927,plain,
( spl12_40
| spl12_5
| ~ spl12_29 ),
inference(avatar_split_clause,[],[f916,f778,f436,f918]) ).
fof(f1002,plain,
( holdsAt(waterLevel(n1),n1)
| ~ spl12_14 ),
inference(resolution,[],[f641,f357]) ).
fof(f1009,plain,
( ! [X0] :
( ~ holdsAt(waterLevel(X0),n1)
| n1 = X0 )
| ~ spl12_14 ),
inference(resolution,[],[f1002,f179]) ).
fof(f1030,plain,
( less(sK9(n0,filling,n1),n1)
| ~ spl12_13 ),
inference(resolution,[],[f638,f231]) ).
fof(f1033,plain,
( less(n1,n1)
| ~ spl12_13
| ~ spl12_15 ),
inference(forward_demodulation,[],[f1030,f652]) ).
fof(f1042,plain,
( $false
| ~ spl12_13
| ~ spl12_15 ),
inference(forward_subsumption_resolution,[],[f1033,f242]) ).
fof(f1043,plain,
( ~ spl12_13
| ~ spl12_15 ),
inference(avatar_contradiction_clause,[],[f1042]) ).
fof(f1073,plain,
! [X0] :
( less(n2,X0)
| n1 = X0
| n2 = X0
| n0 = X0
| n1 = X0 ),
inference(resolution,[],[f408,f454]) ).
fof(f1081,plain,
! [X0] :
( less(n2,X0)
| n1 = X0
| n2 = X0
| n0 = X0 ),
inference(duplicate_literal_removal,[],[f1073]) ).
fof(f1084,plain,
! [X0] :
( ~ less(X0,n2)
| n2 = X0
| n0 = X0
| n1 = X0 ),
inference(resolution,[],[f1081,f159]) ).
fof(f1104,plain,
! [X2,X0,X1] :
( ~ initiates(tapOn,X1,n0)
| n0 = X0
| holdsAt(X2,plus(n0,X0))
| ~ trajectory(X1,n0,X2,X0)
| stoppedIn(n0,X1,plus(n0,X0)) ),
inference(resolution,[],[f318,f244]) ).
fof(f1105,plain,
! [X0,X1] :
( ~ trajectory(filling,n0,X1,X0)
| holdsAt(X1,plus(n0,X0))
| n0 = X0
| stoppedIn(n0,filling,plus(n0,X0)) ),
inference(resolution,[],[f1104,f255]) ).
fof(f1135,plain,
! [X0] :
( ~ releasedAt(X0,n3)
| releasedAt(X0,n2)
| happens(sK3(X0,n2),n2) ),
inference(superposition,[],[f614,f130]) ).
fof(f1178,plain,
( releasedAt(filling,n2)
| happens(sK3(filling,n2),n2)
| ~ spl12_30 ),
inference(resolution,[],[f1135,f782]) ).
fof(f1180,definition,
( spl12_50
<=> happens(sK3(filling,n2),n2) ),
introduced(definition,[new_symbols(definition,[spl12_50])],[avatar_definition]) ).
fof(f1181,plain,
( happens(sK3(filling,n2),n2)
| ~ spl12_50 ),
inference(avatar_component_clause,[],[f1180]) ).
fof(f1182,plain,
( spl12_50
| spl12_19
| ~ spl12_30 ),
inference(avatar_split_clause,[],[f1178,f781,f673,f1180]) ).
fof(f1260,plain,
( ~ initiates(tapOn,filling,n0)
| ~ spl12_32 ),
inference(resolution,[],[f790,f350]) ).
fof(f1263,plain,
( $false
| ~ spl12_32 ),
inference(forward_subsumption_resolution,[],[f1260,f255]) ).
fof(f1264,plain,
~ spl12_32,
inference(avatar_contradiction_clause,[],[f1263]) ).
fof(f1353,plain,
( less(n1,n0)
| ~ spl12_40 ),
inference(superposition,[],[f275,f919]) ).
fof(f1388,plain,
( $false
| ~ spl12_40 ),
inference(forward_subsumption_resolution,[],[f1353,f139]) ).
fof(f1389,plain,
~ spl12_40,
inference(avatar_contradiction_clause,[],[f1388]) ).
fof(f1400,plain,
( ! [X0] :
( ~ holdsAt(waterLevel(X0),n2)
| n3 = X0 )
| ~ spl12_5 ),
inference(resolution,[],[f437,f179]) ).
fof(f1478,plain,
( holdsAt(waterLevel(n3),n1)
| n0 = n1
| ~ spl12_31 ),
inference(resolution,[],[f787,f171]) ).
fof(f1505,plain,
( n0 = n1
| spl12_12
| ~ spl12_31 ),
inference(forward_subsumption_resolution,[],[f1478,f632]) ).
fof(f1509,plain,
( spl12_27
| spl12_12
| ~ spl12_31 ),
inference(avatar_split_clause,[],[f1505,f786,f631,f758]) ).
fof(f1630,plain,
( ! [X0] :
( holdsAt(X0,plus(n3,n1))
| ~ initiates(overflow,X0,n3) )
| ~ spl12_23 ),
inference(resolution,[],[f796,f235]) ).
fof(f1637,plain,
( ! [X0] :
( holdsAt(X0,plus(n1,n3))
| ~ initiates(overflow,X0,n3) )
| ~ spl12_23 ),
inference(forward_demodulation,[],[f1630,f135]) ).
fof(f1642,plain,
( ! [X0] :
( ~ initiates(overflow,X0,n3)
| holdsAt(X0,n4) )
| ~ spl12_23 ),
inference(forward_demodulation,[],[f1637,f131]) ).
fof(f1713,plain,
( ! [X0] :
( ~ sP0(n3,overflow,X0)
| holdsAt(X0,n4) )
| ~ spl12_23 ),
inference(resolution,[],[f1642,f205]) ).
fof(f1714,plain,
( ! [X0] :
( ~ holdsAt(waterLevel(X0),n3)
| holdsAt(waterLevel(X0),n4) )
| ~ spl12_23 ),
inference(resolution,[],[f1713,f253]) ).
fof(f1716,plain,
( holdsAt(waterLevel(n3),n4)
| ~ spl12_23 ),
inference(resolution,[],[f1714,f167]) ).
fof(f1718,plain,
( $false
| ~ spl12_23 ),
inference(forward_subsumption_resolution,[],[f1716,f168]) ).
fof(f1719,plain,
~ spl12_23,
inference(avatar_contradiction_clause,[],[f1718]) ).
fof(f1766,plain,
( holdsAt(waterLevel(n3),n2)
| n0 = n2
| ~ spl12_50 ),
inference(resolution,[],[f1181,f171]) ).
fof(f5072,plain,
( holdsAt(waterLevel(n2),plus(n0,n2))
| n0 = n2
| stoppedIn(n0,filling,plus(n0,n2))
| ~ holdsAt(waterLevel(n0),n0) ),
inference(resolution,[],[f1105,f298]) ).
fof(f5076,plain,
( holdsAt(waterLevel(n2),plus(n0,n2))
| n0 = n2
| stoppedIn(n0,filling,plus(n0,n2)) ),
inference(forward_subsumption_resolution,[],[f5072,f161]) ).
fof(f5082,plain,
( holdsAt(waterLevel(n2),n2)
| n0 = n2
| stoppedIn(n0,filling,plus(n0,n2)) ),
inference(forward_demodulation,[],[f5076,f127]) ).
fof(f5091,definition,
( spl12_163
<=> stoppedIn(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_163])],[avatar_definition]) ).
fof(f5092,plain,
( stoppedIn(n0,filling,n2)
| ~ spl12_163 ),
inference(avatar_component_clause,[],[f5091]) ).
fof(f5094,plain,
( stoppedIn(n0,filling,n2)
| holdsAt(waterLevel(n2),n2)
| n0 = n2 ),
inference(forward_demodulation,[],[f5082,f127]) ).
fof(f5096,definition,
( spl12_164
<=> holdsAt(waterLevel(n2),n2) ),
introduced(definition,[new_symbols(definition,[spl12_164])],[avatar_definition]) ).
fof(f5097,plain,
( holdsAt(waterLevel(n2),n2)
| ~ spl12_164 ),
inference(avatar_component_clause,[],[f5096]) ).
fof(f5099,plain,
( spl12_40
| spl12_164
| spl12_163 ),
inference(avatar_split_clause,[],[f5094,f5091,f5096,f918]) ).
fof(f5102,plain,
( happens(sK8(n0,filling,n2),sK9(n0,filling,n2))
| ~ spl12_163 ),
inference(resolution,[],[f5092,f233]) ).
fof(f5103,plain,
( less(sK9(n0,filling,n2),n2)
| ~ spl12_163 ),
inference(resolution,[],[f5092,f231]) ).
fof(f5113,plain,
( n2 = sK9(n0,filling,n2)
| n0 = sK9(n0,filling,n2)
| n1 = sK9(n0,filling,n2)
| ~ spl12_163 ),
inference(resolution,[],[f5103,f1084]) ).
fof(f5118,definition,
( spl12_167
<=> n1 = sK9(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_167])],[avatar_definition]) ).
fof(f5119,plain,
( n1 = sK9(n0,filling,n2)
| ~ spl12_167 ),
inference(avatar_component_clause,[],[f5118]) ).
fof(f5121,definition,
( spl12_168
<=> n0 = sK9(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_168])],[avatar_definition]) ).
fof(f5122,plain,
( n0 = sK9(n0,filling,n2)
| ~ spl12_168 ),
inference(avatar_component_clause,[],[f5121]) ).
fof(f5124,definition,
( spl12_169
<=> n2 = sK9(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_169])],[avatar_definition]) ).
fof(f5125,plain,
( n2 = sK9(n0,filling,n2)
| ~ spl12_169 ),
inference(avatar_component_clause,[],[f5124]) ).
fof(f5126,plain,
( spl12_167
| spl12_168
| spl12_169
| ~ spl12_163 ),
inference(avatar_split_clause,[],[f5113,f5091,f5124,f5121,f5118]) ).
fof(f5152,plain,
( holdsAt(waterLevel(n3),sK9(n0,filling,n2))
| n0 = sK9(n0,filling,n2)
| ~ spl12_163 ),
inference(resolution,[],[f5102,f171]) ).
fof(f5179,plain,
( holdsAt(waterLevel(n3),n1)
| n0 = sK9(n0,filling,n2)
| ~ spl12_163
| ~ spl12_167 ),
inference(forward_demodulation,[],[f5152,f5119]) ).
fof(f5193,plain,
( n0 = sK9(n0,filling,n2)
| spl12_12
| ~ spl12_163
| ~ spl12_167 ),
inference(forward_subsumption_resolution,[],[f5179,f632]) ).
fof(f5204,plain,
( n0 = n1
| spl12_12
| ~ spl12_163
| ~ spl12_167 ),
inference(forward_demodulation,[],[f5193,f5119]) ).
fof(f5215,plain,
( spl12_27
| spl12_12
| ~ spl12_163
| ~ spl12_167 ),
inference(avatar_split_clause,[],[f5204,f5118,f5091,f631,f758]) ).
fof(f5228,plain,
( n3 = n2
| ~ spl12_5
| ~ spl12_164 ),
inference(resolution,[],[f5097,f1400]) ).
fof(f5250,plain,
( less(n3,n3)
| ~ spl12_5
| ~ spl12_164 ),
inference(superposition,[],[f269,f5228]) ).
fof(f5354,plain,
( $false
| ~ spl12_5
| ~ spl12_164 ),
inference(forward_subsumption_resolution,[],[f5250,f242]) ).
fof(f5355,plain,
( ~ spl12_5
| ~ spl12_164 ),
inference(avatar_contradiction_clause,[],[f5354]) ).
fof(f5359,plain,
( n0 = n2
| spl12_5
| ~ spl12_50 ),
inference(forward_subsumption_resolution,[],[f1766,f772]) ).
fof(f5373,plain,
( spl12_40
| spl12_5
| ~ spl12_50 ),
inference(avatar_split_clause,[],[f5359,f1180,f436,f918]) ).
fof(f5421,plain,
( less(sK9(n0,filling,n2),n2)
| ~ spl12_163 ),
inference(resolution,[],[f5092,f231]) ).
fof(f5422,plain,
( less(n0,sK9(n0,filling,n2))
| ~ spl12_163 ),
inference(resolution,[],[f5092,f232]) ).
fof(f5424,plain,
( less(n2,n2)
| ~ spl12_163
| ~ spl12_169 ),
inference(forward_demodulation,[],[f5421,f5125]) ).
fof(f5426,plain,
( $false
| ~ spl12_163
| ~ spl12_169 ),
inference(forward_subsumption_resolution,[],[f5424,f242]) ).
fof(f5427,plain,
( ~ spl12_163
| ~ spl12_169 ),
inference(avatar_contradiction_clause,[],[f5426]) ).
fof(f5430,plain,
( less(n0,n0)
| ~ spl12_163
| ~ spl12_168 ),
inference(forward_demodulation,[],[f5422,f5122]) ).
fof(f5433,plain,
( $false
| ~ spl12_163
| ~ spl12_168 ),
inference(forward_subsumption_resolution,[],[f5430,f242]) ).
fof(f5434,plain,
( ~ spl12_163
| ~ spl12_168 ),
inference(avatar_contradiction_clause,[],[f5433]) ).
fof(f5445,plain,
( n1 = n3
| ~ spl12_12
| ~ spl12_14 ),
inference(resolution,[],[f866,f1009]) ).
fof(f5468,plain,
( less(n2,n1)
| ~ spl12_12
| ~ spl12_14 ),
inference(superposition,[],[f269,f5445]) ).
fof(f5565,plain,
( $false
| ~ spl12_12
| ~ spl12_14 ),
inference(forward_subsumption_resolution,[],[f5468,f331]) ).
fof(f5566,plain,
( ~ spl12_12
| ~ spl12_14 ),
inference(avatar_contradiction_clause,[],[f5565]) ).
fof(f5592,plain,
( less(n0,sK9(n0,filling,n1))
| ~ spl12_13 ),
inference(resolution,[],[f638,f232]) ).
fof(f5593,plain,
( less(n0,n0)
| ~ spl12_13
| ~ spl12_16 ),
inference(forward_demodulation,[],[f5592,f655]) ).
fof(f5596,plain,
( $false
| ~ spl12_13
| ~ spl12_16 ),
inference(forward_subsumption_resolution,[],[f5593,f242]) ).
fof(f5597,plain,
( ~ spl12_13
| ~ spl12_16 ),
inference(avatar_contradiction_clause,[],[f5596]) ).
cnf(s16,plain,
( spl12_13
| spl12_14 ),
inference(sat_conversion,[],[f642]) ).
cnf(s17,plain,
( ~ spl12_13
| spl12_15
| spl12_16 ),
inference(sat_conversion,[],[f656]) ).
cnf(s18,plain,
( spl12_17
| spl12_18
| spl12_19 ),
inference(sat_conversion,[],[f675]) ).
cnf(s27,plain,
( spl12_12
| ~ spl12_17
| spl12_27 ),
inference(sat_conversion,[],[f763]) ).
cnf(s29,plain,
( ~ spl12_18
| spl12_23
| spl12_29
| spl12_30 ),
inference(sat_conversion,[],[f783]) ).
cnf(s30,plain,
( ~ spl12_19
| spl12_31
| spl12_32 ),
inference(sat_conversion,[],[f791]) ).
cnf(s35,plain,
~ spl12_27,
inference(sat_conversion,[],[f843]) ).
cnf(s42,plain,
( spl12_5
| ~ spl12_29
| spl12_40 ),
inference(sat_conversion,[],[f927]) ).
cnf(s46,plain,
( ~ spl12_13
| ~ spl12_15 ),
inference(sat_conversion,[],[f1043]) ).
cnf(s50,plain,
( spl12_19
| ~ spl12_30
| spl12_50 ),
inference(sat_conversion,[],[f1182]) ).
cnf(s56,plain,
~ spl12_32,
inference(sat_conversion,[],[f1264]) ).
cnf(s69,plain,
~ spl12_40,
inference(sat_conversion,[],[f1389]) ).
cnf(s78,plain,
( spl12_12
| spl12_27
| ~ spl12_31 ),
inference(sat_conversion,[],[f1509]) ).
cnf(s92,plain,
~ spl12_23,
inference(sat_conversion,[],[f1719]) ).
cnf(s222,plain,
( spl12_40
| spl12_163
| spl12_164 ),
inference(sat_conversion,[],[f5099]) ).
cnf(s224,plain,
( ~ spl12_163
| spl12_167
| spl12_168
| spl12_169 ),
inference(sat_conversion,[],[f5126]) ).
cnf(s226,plain,
( spl12_12
| spl12_27
| ~ spl12_163
| ~ spl12_167 ),
inference(sat_conversion,[],[f5215]) ).
cnf(s229,plain,
( ~ spl12_5
| ~ spl12_164 ),
inference(sat_conversion,[],[f5355]) ).
cnf(s232,plain,
( spl12_5
| spl12_40
| ~ spl12_50 ),
inference(sat_conversion,[],[f5373]) ).
cnf(s242,plain,
( ~ spl12_163
| ~ spl12_169 ),
inference(sat_conversion,[],[f5427]) ).
cnf(s243,plain,
( ~ spl12_163
| ~ spl12_168 ),
inference(sat_conversion,[],[f5434]) ).
cnf(s252,plain,
( ~ spl12_12
| ~ spl12_14 ),
inference(sat_conversion,[],[f5566]) ).
cnf(s255,plain,
( ~ spl12_13
| ~ spl12_16 ),
inference(sat_conversion,[],[f5597]) ).
cnf(s270,plain,
( spl12_5
| ~ spl12_29 ),
inference(rat,[],[s42,s69]) ).
cnf(s274,plain,
( ~ spl12_19
| spl12_31 ),
inference(rat,[],[s30,s56]) ).
cnf(s275,plain,
( ~ spl12_18
| spl12_29
| spl12_30 ),
inference(rat,[],[s29,s92]) ).
cnf(s276,plain,
( spl12_12
| ~ spl12_17 ),
inference(rat,[],[s27,s35]) ).
cnf(s291,plain,
( spl12_12
| spl12_5 ),
inference(rat,[],[s275,s50,s18,s274,s276,s78,s232,s270,s35,s69]) ).
cnf(s292,plain,
~ spl12_13,
inference(rat,[],[s17,s46,s255]) ).
cnf(s293,plain,
spl12_14,
inference(rat,[],[s16,s292]) ).
cnf(s294,plain,
~ spl12_12,
inference(rat,[],[s252,s293]) ).
cnf(s301,plain,
spl12_5,
inference(rat,[],[s291,s294]) ).
cnf(s305,plain,
~ spl12_164,
inference(rat,[],[s229,s301]) ).
cnf(s309,plain,
spl12_163,
inference(rat,[],[s222,s69,s305]) ).
cnf(s312,plain,
~ spl12_168,
inference(rat,[],[s243,s309]) ).
cnf(s313,plain,
~ spl12_169,
inference(rat,[],[s242,s309]) ).
cnf(s316,plain,
~ spl12_167,
inference(rat,[],[s226,s294,s35,s309]) ).
cnf(s318,plain,
$false,
inference(rat,[],[s224,s313,s309,s316,s312]) ).
fof(f5599,plain,
$false,
inference(avatar_sat_refutation,[],[s318]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR001+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n003.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 22:06:43 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 5.59/1.54 % (2086091)Detected formulas, will run a generic FOF schedule.
% 5.59/1.54 % (2086097)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=3095519129:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.59/1.54 % (2086099)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2963228600:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.59/1.54 % (2086099)Refutation not found, incomplete strategy
% 5.59/1.54 % (2086099)------------------------------
% 5.59/1.54 % (2086099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.54 % (2086099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.54 % (2086099)CaDiCaL version: 2.1.3
% 5.59/1.54 % (2086099)Termination reason: Refutation not found, incomplete strategy
% 5.59/1.54 % (2086099)Time elapsed: 0.002 s
% 5.59/1.54 % (2086099)Peak memory usage: 88 MB
% 5.59/1.54 % (2086099)Instructions burned: 1 (million)
% 5.59/1.54 % (2086098)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=3687453890:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.59/1.54 % (2086096)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=2339315498:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.59/1.54 % (2086101)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=545319617:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.59/1.54 % (2086100)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1053020371:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.59/1.54 % (2086102)dis-21_1_sil=8000:lcm=predicate:random_seed=4119135327: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)
% 5.59/1.54 % (2086100)Refutation not found, incomplete strategy
% 5.59/1.54 % (2086100)------------------------------
% 5.59/1.54 % (2086100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.54 % (2086100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.54 % (2086100)CaDiCaL version: 2.1.3
% 5.59/1.54 % (2086100)Termination reason: Refutation not found, incomplete strategy
% 5.59/1.54 % (2086100)Time elapsed: 0.008 s
% 5.59/1.54 % (2086100)Peak memory usage: 88 MB
% 5.59/1.54 % (2086100)Instructions burned: 11 (million)
% 5.59/1.54 % (2086102)Instruction limit reached!
% 5.59/1.54 % (2086102)------------------------------
% 5.59/1.54 % (2086102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.54 % (2086102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.54 % (2086102)CaDiCaL version: 2.1.3
% 5.59/1.54 % (2086102)Termination reason: Instruction limit
% 5.59/1.54 % (2086102)Termination phase: Saturation
% 5.59/1.54 % (2086102)Time elapsed: 0.073 s
% 5.59/1.54 % (2086102)Peak memory usage: 88 MB
% 5.59/1.54 % (2086102)Instructions burned: 129 (million)
% 5.59/1.54 % (2086101)Instruction limit reached!
% 5.59/1.54 % (2086101)------------------------------
% 5.59/1.54 % (2086101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.54 % (2086101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.54 % (2086101)CaDiCaL version: 2.1.3
% 5.59/1.54 % (2086101)Termination reason: Instruction limit
% 5.59/1.54 % (2086101)Termination phase: Saturation
% 5.59/1.54 % (2086101)Time elapsed: 0.095 s
% 5.59/1.54 % (2086101)Peak memory usage: 90 MB
% 5.59/1.54 % (2086101)Instructions burned: 139 (million)
% 5.59/1.54 % (2086110)lrs+10_1_sil=8000:sp=occurrence:random_seed=3237202076:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.59/1.54 % (2086099)------------------------------
% 5.59/1.54 % (2086099)------------------------------
% 5.59/1.54 % (2086111)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2739119354:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.59/1.54 % (2086111)Refutation not found, incomplete strategy
% 5.59/1.54 % (2086111)------------------------------
% 5.59/1.54 % (2086111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.54 % (2086111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.54 % (2086111)CaDiCaL version: 2.1.3
% 5.59/1.54 % (2086111)Termination reason: Refutation not found, incomplete strategy
% 5.59/1.54 % (2086111)Time elapsed: 0.002 s
% 5.59/1.54 % (2086111)Peak memory usage: 88 MB
% 5.59/1.54 % (2086111)Instructions burned: 1 (million)
% 5.59/1.54 % (2086100)------------------------------
% 5.59/1.54 % (2086100)------------------------------
% 5.59/1.54 % (2086113)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3923418201:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 5.59/1.54 % (2086110)Instruction limit reached!
% 5.59/1.54 % (2086110)------------------------------
% 5.59/1.54 % (2086110)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.54 % (2086110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.54 % (2086110)CaDiCaL version: 2.1.3
% 5.59/1.54 % (2086110)Termination reason: Instruction limit
% 5.59/1.54 % (2086110)Termination phase: Saturation
% 5.59/1.54 % (2086110)Time elapsed: 0.171 s
% 5.59/1.54 % (2086110)Peak memory usage: 90 MB
% 5.59/1.54 % (2086110)Instructions burned: 285 (million)
% 5.59/1.54 % (2086115)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=1895144273:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.59/1.54 % (2086111)------------------------------
% 5.59/1.54 % (2086111)------------------------------
% 5.59/1.54 % (2086117)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1448656703:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 5.59/1.54 % (2086115)Instruction limit reached!
% 5.59/1.54 % (2086115)------------------------------
% 5.59/1.54 % (2086115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.54 % (2086115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.54 % (2086115)CaDiCaL version: 2.1.3
% 5.59/1.54 % (2086115)Termination reason: Instruction limit
% 5.59/1.54 % (2086115)Termination phase: Saturation
% 5.59/1.54 % (2086115)Time elapsed: 0.140 s
% 5.59/1.54 % (2086115)Peak memory usage: 91 MB
% 5.59/1.54 % (2086115)Instructions burned: 250 (million)
% 5.59/1.54 % (2086097)First to succeed.
% 5.59/1.54 % (2086097)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2086091"
% 5.59/1.54 % (2086113)Instruction limit reached!
% 5.59/1.54 % (2086113)------------------------------
% 5.59/1.54 % (2086113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.54 % (2086113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.54 % (2086113)CaDiCaL version: 2.1.3
% 5.59/1.54 % (2086113)Termination reason: Instruction limit
% 5.59/1.54 % (2086113)Termination phase: Saturation
% 5.59/1.54 % (2086113)Time elapsed: 0.205 s
% 5.59/1.54 % (2086113)Peak memory usage: 91 MB
% 5.59/1.54 % (2086113)Instructions burned: 325 (million)
% 5.59/1.54 % (2086098)Refutation not found, incomplete strategy
% 5.59/1.54 % (2086098)------------------------------
% 5.59/1.54 % (2086098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.54 % (2086098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.54 % (2086098)CaDiCaL version: 2.1.3
% 5.59/1.54 % (2086098)Termination reason: Refutation not found, incomplete strategy
% 5.59/1.54 % (2086098)Time elapsed: 0.602 s
% 5.59/1.54 % (2086098)Peak memory usage: 128 MB
% 5.59/1.54 % (2086098)Instructions burned: 901 (million)
% 5.59/1.54 % (2086119)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=230734133:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 5.59/1.54 % (2086121)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=669363239:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 5.59/1.54 % (2086117)Instruction limit reached!
% 5.59/1.54 % (2086117)------------------------------
% 5.59/1.54 % (2086117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.54 % (2086121)Refutation not found, incomplete strategy
% 5.59/1.54 % (2086121)------------------------------
% 5.59/1.54 % (2086121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.54 % (2086121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.54 % (2086117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.54 % (2086121)CaDiCaL version: 2.1.3
% 5.59/1.54 % (2086117)CaDiCaL version: 2.1.3
% 5.59/1.54 % (2086117)Termination reason: Instruction limit
% 5.59/1.54 % (2086117)Termination phase: Saturation
% 5.59/1.54 % (2086121)Termination reason: Refutation not found, incomplete strategy
% 5.59/1.54 % (2086121)Time elapsed: 0.003 s
% 5.59/1.54 % (2086117)Time elapsed: 0.168 s
% 5.59/1.54 % (2086121)Peak memory usage: 88 MB
% 5.59/1.54 % (2086117)Peak memory usage: 89 MB
% 5.59/1.54 % (2086121)Instructions burned: 2 (million)
% 5.59/1.54 % (2086117)Instructions burned: 295 (million)
% 5.59/1.54 % (2086122)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3410091002:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 5.59/1.54 % (2086097)Refutation found. Thanks to Tanya!
% 5.59/1.54 % SZS status Theorem for theBenchmark
% 5.59/1.54 % SZS output start Proof for theBenchmark
% See solution above
% 6.77/1.73 % (2086097)------------------------------
% 6.77/1.73 % (2086097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/1.73 % (2086097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.73 % (2086097)CaDiCaL version: 2.1.3
% 6.77/1.73 % (2086097)Termination reason: Refutation
% 6.77/1.73 % (2086097)Time elapsed: 0.586 s
% 6.77/1.73 % (2086097)Peak memory usage: 134 MB
% 6.77/1.73 % (2086097)Instructions burned: 1440 (million)
% 6.77/1.73 % (2086097)------------------------------
% 6.77/1.73 % (2086097)------------------------------
% 6.77/1.73 % (2086091)Success in time 0.869 s
% 6.77/1.73 % Vampire exiting
%------------------------------------------------------------------------------