%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR005+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : 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 6.71s 1.50s
% Output : Refutation 6.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 42
% Syntax : Number of formulae : 257 ( 53 unt; 17 def)
% Number of atoms : 755 ( 136 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 807 ( 309 ~; 375 |; 88 &)
% ( 27 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 16 prp; 0-4 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-3 aty)
% Number of variables : 269 ( 0 sgn 250 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( stoppedIn(X0,X1,X2)
<=> ? [X3,X4] :
( happens(X3,X4)
& less(X0,X4)
& less(X4,X2)
& terminates(X3,X1,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stoppedin_defn) ).
fof(f3,axiom,
! [X0,X1,X2,X3,X4] :
( ( happens(X0,X1)
& initiates(X0,X2,X1)
& less(n0,X4)
& trajectory(X2,X1,X3,X4)
& ~ stoppedIn(X1,X2,plus(X1,X4)) )
=> holdsAt(X3,plus(X1,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',change_holding) ).
fof(f5,axiom,
! [X0,X1] :
( ( holdsAt(X0,X1)
& ~ releasedAt(X0,plus(X1,n1))
& ~ ? [X2] :
( happens(X2,X1)
& terminates(X2,X0,X1) ) )
=> holdsAt(X0,plus(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',keep_holding) ).
fof(f8,axiom,
! [X0,X1] :
( ( ~ releasedAt(X0,X1)
& ~ ? [X2] :
( happens(X2,X1)
& releases(X2,X0,X1) ) )
=> ~ releasedAt(X0,plus(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',happens_not_released) ).
fof(f13,axiom,
! [X0,X1,X2] :
( initiates(X0,X1,X2)
<=> ( ( X0 = tapOn
& X1 = filling )
| ( X0 = overflow
& X1 = spilling )
| ? [X3] :
( holdsAt(waterLevel(X3),X2)
& X0 = tapOff
& X1 = waterLevel(X3) )
| ? [X3] :
( holdsAt(waterLevel(X3),X2)
& X0 = overflow
& X1 = waterLevel(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initiates_all_defn) ).
fof(f16,axiom,
! [X0,X1] :
( happens(X0,X1)
<=> ( ( X0 = tapOn
& X1 = n0 )
| ( holdsAt(waterLevel(n3),X1)
& holdsAt(filling,X1)
& X0 = overflow ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_all_defn) ).
fof(f17,axiom,
! [X0,X1,X2,X3] :
( ( holdsAt(waterLevel(X0),X1)
& X2 = plus(X0,X3) )
=> trajectory(filling,X1,waterLevel(X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',change_of_waterLevel) ).
fof(f18,axiom,
! [X0,X1,X2] :
( ( holdsAt(waterLevel(X1),X0)
& holdsAt(waterLevel(X2),X0) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',same_waterLevel) ).
fof(f27,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_1) ).
fof(f28,axiom,
plus(n0,n2) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_2) ).
fof(f30,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_1) ).
fof(f31,axiom,
plus(n1,n2) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_2) ).
fof(f36,axiom,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_plus) ).
fof(f37,axiom,
! [X0,X1] :
( less_or_equal(X0,X1)
<=> ( less(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal) ).
fof(f38,axiom,
~ ? [X0] : less(X0,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less0) ).
fof(f39,axiom,
! [X0] :
( less(X0,n1)
<=> less_or_equal(X0,n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less1) ).
fof(f40,axiom,
! [X0] :
( less(X0,n2)
<=> less_or_equal(X0,n1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less2) ).
fof(f41,axiom,
! [X0] :
( less(X0,n3)
<=> less_or_equal(X0,n2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less3) ).
fof(f48,axiom,
! [X0,X1] :
( less(X0,X1)
<=> ( ~ less(X1,X0)
& X1 != X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).
fof(f49,axiom,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_0) ).
fof(f50,axiom,
~ holdsAt(filling,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_filling_0) ).
fof(f55,axiom,
~ releasedAt(filling,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',filling_3_l1) ).
fof(f56,conjecture,
holdsAt(filling,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',filling_3) ).
fof(f57,negated_conjecture,
~ holdsAt(filling,n3),
inference(negated_conjecture,[status(cth)],[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,
~ holdsAt(filling,n3),
inference(flattening,[],[f57]) ).
fof(f61,plain,
! [X0,X1,X2] :
( stoppedIn(X0,X1,X2)
=> ? [X3,X4] :
( happens(X3,X4)
& less(X0,X4)
& less(X4,X2)
& terminates(X3,X1,X4) ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( happens(X3,X4)
& less(X0,X4)
& less(X4,X2)
& terminates(X3,X1,X4) )
| ~ stoppedIn(X0,X1,X2) ),
inference(ennf_transformation,[],[f61]) ).
fof(f65,plain,
! [X0,X1,X2,X3,X4] :
( holdsAt(X3,plus(X1,X4))
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1)
| ~ less(n0,X4)
| ~ trajectory(X2,X1,X3,X4)
| stoppedIn(X1,X2,plus(X1,X4)) ),
inference(ennf_transformation,[],[f3]) ).
fof(f66,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,[],[f65]) ).
fof(f67,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1)
| releasedAt(X0,plus(X1,n1))
| ? [X2] :
( happens(X2,X1)
& terminates(X2,X0,X1) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f68,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,[],[f67]) ).
fof(f73,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| releasedAt(X0,X1)
| ? [X2] :
( happens(X2,X1)
& releases(X2,X0,X1) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f74,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| releasedAt(X0,X1)
| ? [X2] :
( happens(X2,X1)
& releases(X2,X0,X1) ) ),
inference(flattening,[],[f73]) ).
fof(f75,plain,
! [X0,X1,X2] :
( holdsAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f76,plain,
! [X0,X1,X2] :
( holdsAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1) ),
inference(flattening,[],[f75]) ).
fof(f81,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(f82,plain,
! [X0,X1,X2] :
( ~ releasedAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ( ~ initiates(X0,X2,X1)
& ~ terminates(X0,X2,X1) ) ),
inference(flattening,[],[f81]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( trajectory(filling,X1,waterLevel(X2),X3)
| ~ holdsAt(waterLevel(X0),X1)
| plus(X0,X3) != X2 ),
inference(ennf_transformation,[],[f17]) ).
fof(f84,plain,
! [X0,X1,X2,X3] :
( trajectory(filling,X1,waterLevel(X2),X3)
| ~ holdsAt(waterLevel(X0),X1)
| plus(X0,X3) != X2 ),
inference(flattening,[],[f83]) ).
fof(f85,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ holdsAt(waterLevel(X1),X0)
| ~ holdsAt(waterLevel(X2),X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f86,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ holdsAt(waterLevel(X1),X0)
| ~ holdsAt(waterLevel(X2),X0) ),
inference(flattening,[],[f85]) ).
fof(f87,plain,
! [X0] : ~ less(X0,n0),
inference(ennf_transformation,[],[f38]) ).
fof(f88,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(f89,definition,
! [X2,X0,X1] :
( sP1(X2,X0,X1)
<=> ? [X3] :
( holdsAt(waterLevel(X3),X2)
& X0 = tapOff
& X1 = waterLevel(X3) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f90,plain,
! [X0,X1,X2] :
( initiates(X0,X1,X2)
<=> ( ( X0 = tapOn
& X1 = filling )
| ( X0 = overflow
& X1 = spilling )
| sP1(X2,X0,X1)
| sP0(X2,X0,X1) ) ),
inference(definition_folding,[],[f58,f89,f88]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ( happens(sK2(X0,X1,X2),sK3(X0,X1,X2))
& less(X0,sK3(X0,X1,X2))
& less(sK3(X0,X1,X2),X2)
& terminates(sK2(X0,X1,X2),X1,sK3(X0,X1,X2)) )
| ~ stoppedIn(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X3,sK2(X0,X1,X2)),skolemize(X4,sK3(X0,X1,X2))],[f64]) ).
fof(f92,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1)
| releasedAt(X0,plus(X1,n1))
| ( happens(sK4(X0,X1),X1)
& terminates(sK4(X0,X1),X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f68]) ).
fof(f95,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| releasedAt(X0,X1)
| ( happens(sK7(X0,X1),X1)
& releases(sK7(X0,X1),X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f74]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ( initiates(X0,X1,X2)
| ( ( tapOn != X0
| filling != X1 )
& ( overflow != X0
| spilling != X1 )
& ~ sP1(X2,X0,X1)
& ~ sP0(X2,X0,X1) ) )
& ( ( X0 = tapOn
& X1 = filling )
| ( X0 = overflow
& X1 = spilling )
| sP1(X2,X0,X1)
| sP0(X2,X0,X1)
| ~ initiates(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f90]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ( initiates(X0,X1,X2)
| ( ( tapOn != X0
| filling != X1 )
& ( overflow != X0
| spilling != X1 )
& ~ sP1(X2,X0,X1)
& ~ sP0(X2,X0,X1) ) )
& ( ( X0 = tapOn
& X1 = filling )
| ( X0 = overflow
& X1 = spilling )
| sP1(X2,X0,X1)
| sP0(X2,X0,X1)
| ~ initiates(X0,X1,X2) ) ),
inference(flattening,[],[f102]) ).
fof(f109,plain,
! [X0,X1] :
( ( happens(X0,X1)
| ( ( tapOn != X0
| n0 != X1 )
& ( ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1)
| overflow != X0 ) ) )
& ( ( X0 = tapOn
& X1 = n0 )
| ( holdsAt(waterLevel(n3),X1)
& holdsAt(filling,X1)
& X0 = overflow )
| ~ happens(X0,X1) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f110,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,[],[f109]) ).
fof(f112,plain,
! [X0,X1] :
( ( less_or_equal(X0,X1)
| ( ~ less(X0,X1)
& X0 != X1 ) )
& ( less(X0,X1)
| X0 = X1
| ~ less_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f113,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,[],[f112]) ).
fof(f114,plain,
! [X0] :
( ( less(X0,n1)
| ~ less_or_equal(X0,n0) )
& ( less_or_equal(X0,n0)
| ~ less(X0,n1) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f115,plain,
! [X0] :
( ( less(X0,n2)
| ~ less_or_equal(X0,n1) )
& ( less_or_equal(X0,n1)
| ~ less(X0,n2) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f116,plain,
! [X0] :
( ( less(X0,n3)
| ~ less_or_equal(X0,n2) )
& ( less_or_equal(X0,n2)
| ~ less(X0,n3) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f123,plain,
! [X0,X1] :
( ( less(X0,X1)
| less(X1,X0)
| X0 = X1 )
& ( ( ~ less(X1,X0)
& X1 != X0 )
| ~ less(X0,X1) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f124,plain,
! [X0,X1] :
( ( less(X0,X1)
| less(X1,X0)
| X0 = X1 )
& ( ( ~ less(X1,X0)
& X1 != X0 )
| ~ less(X0,X1) ) ),
inference(flattening,[],[f123]) ).
fof(f126,plain,
! [X2,X0,X1] :
( less(sK3(X0,X1,X2),X2)
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f127,plain,
! [X2,X0,X1] :
( less(X0,sK3(X0,X1,X2))
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f128,plain,
! [X2,X0,X1] :
( happens(sK2(X0,X1,X2),sK3(X0,X1,X2))
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f91]) ).
fof(f129,plain,
! [X2,X3,X0,X1,X4] :
( ~ trajectory(X2,X1,X3,X4)
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1)
| ~ less(n0,X4)
| holdsAt(X3,plus(X1,X4))
| stoppedIn(X1,X2,plus(X1,X4)) ),
inference(cnf_transformation,[],[f66]) ).
fof(f131,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| happens(sK4(X0,X1),X1)
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f137,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| releasedAt(X0,X1)
| happens(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ initiates(X0,X2,X1)
| ~ happens(X0,X1)
| holdsAt(X2,plus(X1,n1)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ releasedAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f158,plain,
! [X2,X0,X1] :
( initiates(X0,X1,X2)
| tapOn != X0
| filling != X1 ),
inference(cnf_transformation,[],[f103]) ).
fof(f170,plain,
! [X0,X1] :
( ~ happens(X0,X1)
| holdsAt(waterLevel(n3),X1)
| n0 = X1 ),
inference(cnf_transformation,[],[f110]) ).
fof(f175,plain,
! [X0,X1] :
( happens(X0,X1)
| tapOn != X0
| n0 != X1 ),
inference(cnf_transformation,[],[f110]) ).
fof(f176,plain,
! [X2,X3,X0,X1] :
( trajectory(filling,X1,waterLevel(X2),X3)
| ~ holdsAt(waterLevel(X0),X1)
| plus(X0,X3) != X2 ),
inference(cnf_transformation,[],[f84]) ).
fof(f177,plain,
! [X2,X0,X1] :
( ~ holdsAt(waterLevel(X2),X0)
| ~ holdsAt(waterLevel(X1),X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f86]) ).
fof(f187,plain,
n1 = plus(n0,n1),
inference(cnf_transformation,[],[f27]) ).
fof(f188,plain,
n2 = plus(n0,n2),
inference(cnf_transformation,[],[f28]) ).
fof(f190,plain,
n2 = plus(n1,n1),
inference(cnf_transformation,[],[f30]) ).
fof(f191,plain,
n3 = plus(n1,n2),
inference(cnf_transformation,[],[f31]) ).
fof(f196,plain,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
inference(cnf_transformation,[],[f36]) ).
fof(f197,plain,
! [X0,X1] :
( ~ less_or_equal(X0,X1)
| X0 = X1
| less(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f198,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f113]) ).
fof(f200,plain,
! [X0] : ~ less(X0,n0),
inference(cnf_transformation,[],[f87]) ).
fof(f201,plain,
! [X0] :
( ~ less(X0,n1)
| less_or_equal(X0,n0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f202,plain,
! [X0] :
( ~ less_or_equal(X0,n0)
| less(X0,n1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f203,plain,
! [X0] :
( ~ less(X0,n2)
| less_or_equal(X0,n1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f204,plain,
! [X0] :
( ~ less_or_equal(X0,n1)
| less(X0,n2) ),
inference(cnf_transformation,[],[f115]) ).
fof(f206,plain,
! [X0] :
( ~ less_or_equal(X0,n2)
| less(X0,n3) ),
inference(cnf_transformation,[],[f116]) ).
fof(f219,plain,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f124]) ).
fof(f221,plain,
! [X0,X1] :
( less(X1,X0)
| less(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f124]) ).
fof(f222,plain,
holdsAt(waterLevel(n0),n0),
inference(cnf_transformation,[],[f49]) ).
fof(f223,plain,
~ holdsAt(filling,n0),
inference(cnf_transformation,[],[f50]) ).
fof(f228,plain,
~ releasedAt(filling,n3),
inference(cnf_transformation,[],[f55]) ).
fof(f229,plain,
~ holdsAt(filling,n3),
inference(cnf_transformation,[],[f59]) ).
fof(f234,plain,
! [X2,X1] :
( initiates(tapOn,X1,X2)
| filling != X1 ),
inference(equality_resolution,[],[f158]) ).
fof(f235,plain,
! [X2] : initiates(tapOn,filling,X2),
inference(equality_resolution,[],[f234]) ).
fof(f244,plain,
! [X1] :
( happens(tapOn,X1)
| n0 != X1 ),
inference(equality_resolution,[],[f175]) ).
fof(f245,plain,
happens(tapOn,n0),
inference(equality_resolution,[],[f244]) ).
fof(f247,plain,
! [X3,X0,X1] :
( trajectory(filling,X1,waterLevel(plus(X0,X3)),X3)
| ~ holdsAt(waterLevel(X0),X1) ),
inference(equality_resolution,[],[f176]) ).
fof(f249,plain,
! [X1] : less_or_equal(X1,X1),
inference(equality_resolution,[],[f198]) ).
fof(f250,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f219]) ).
fof(f252,plain,
! [X2,X3,X0,X1] :
( ~ holdsAt(waterLevel(X0),X1)
| ~ happens(X2,X1)
| ~ initiates(X2,filling,X1)
| ~ less(n0,X3)
| holdsAt(waterLevel(plus(X0,X3)),plus(X1,X3))
| stoppedIn(X1,filling,plus(X1,X3)) ),
inference(resolution,[],[f247,f129]) ).
fof(f261,plain,
! [X0] :
( less(n0,X0)
| n0 = X0 ),
inference(resolution,[],[f221,f200]) ).
fof(f273,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n1),n0)
| ~ stoppedIn(X0,X1,n1) ),
inference(resolution,[],[f201,f126]) ).
fof(f277,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n1)
| n0 = sK3(X0,X1,n1)
| less(sK3(X0,X1,n1),n0) ),
inference(resolution,[],[f273,f197]) ).
fof(f278,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n1)
| n0 = sK3(X0,X1,n1) ),
inference(forward_subsumption_resolution,[],[f277,f200]) ).
fof(f285,plain,
! [X0,X1] :
( ~ initiates(X1,X0,n0)
| ~ happens(X1,n0)
| ~ releasedAt(X0,n1) ),
inference(superposition,[],[f142,f187]) ).
fof(f291,plain,
less(n0,n1),
inference(resolution,[],[f249,f202]) ).
fof(f292,plain,
less(n1,n2),
inference(resolution,[],[f249,f204]) ).
fof(f293,plain,
less(n2,n3),
inference(resolution,[],[f249,f206]) ).
fof(f303,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n2),n1)
| ~ stoppedIn(X0,X1,n2) ),
inference(resolution,[],[f203,f126]) ).
fof(f305,plain,
! [X0,X1] :
( less(sK3(X0,X1,n2),n1)
| n1 = sK3(X0,X1,n2)
| ~ stoppedIn(X0,X1,n2) ),
inference(resolution,[],[f303,f197]) ).
fof(f317,definition,
( spl11_2
<=> n0 = n2 ),
introduced(definition,[new_symbols(definition,[spl11_2])],[avatar_definition]) ).
fof(f318,plain,
( n0 != n2
| spl11_2 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f319,plain,
( n0 = n2
| ~ spl11_2 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f334,plain,
( less(n1,n0)
| ~ spl11_2 ),
inference(superposition,[],[f292,f319]) ).
fof(f337,plain,
( $false
| ~ spl11_2 ),
inference(forward_subsumption_resolution,[],[f334,f200]) ).
fof(f338,plain,
~ spl11_2,
inference(avatar_contradiction_clause,[],[f337]) ).
fof(f391,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n2),n0)
| ~ stoppedIn(X0,X1,n2)
| n1 = sK3(X0,X1,n2) ),
inference(resolution,[],[f305,f201]) ).
fof(f394,plain,
! [X0,X1] :
( ~ happens(X0,n0)
| ~ initiates(X0,filling,n0)
| ~ less(n0,X1)
| holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1))
| stoppedIn(n0,filling,plus(n0,X1)) ),
inference(resolution,[],[f252,f222]) ).
fof(f396,definition,
( spl11_7
<=> ! [X1] :
( ~ less(n0,X1)
| stoppedIn(n0,filling,plus(n0,X1))
| holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl11_7])],[avatar_definition]) ).
fof(f397,plain,
( ! [X1] :
( holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1))
| stoppedIn(n0,filling,plus(n0,X1))
| ~ less(n0,X1) )
| ~ spl11_7 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f399,definition,
( spl11_8
<=> ! [X0] :
( ~ happens(X0,n0)
| ~ initiates(X0,filling,n0) ) ),
introduced(definition,[new_symbols(definition,[spl11_8])],[avatar_definition]) ).
fof(f400,plain,
( ! [X0] :
( ~ initiates(X0,filling,n0)
| ~ happens(X0,n0) )
| ~ spl11_8 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f401,plain,
( spl11_7
| spl11_8 ),
inference(avatar_split_clause,[],[f394,f399,f396]) ).
fof(f415,plain,
( ~ happens(tapOn,n0)
| ~ spl11_8 ),
inference(resolution,[],[f235,f400]) ).
fof(f416,plain,
! [X0] :
( holdsAt(filling,plus(X0,n1))
| ~ happens(tapOn,X0) ),
inference(resolution,[],[f235,f138]) ).
fof(f417,plain,
( $false
| ~ spl11_8 ),
inference(forward_subsumption_resolution,[],[f415,f245]) ).
fof(f418,plain,
~ spl11_8,
inference(avatar_contradiction_clause,[],[f417]) ).
fof(f420,plain,
( holdsAt(filling,n1)
| ~ happens(tapOn,n0) ),
inference(superposition,[],[f416,f187]) ).
fof(f429,definition,
( spl11_10
<=> holdsAt(filling,n2) ),
introduced(definition,[new_symbols(definition,[spl11_10])],[avatar_definition]) ).
fof(f430,plain,
( ~ holdsAt(filling,n2)
| spl11_10 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f431,plain,
( holdsAt(filling,n2)
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f433,plain,
holdsAt(filling,n1),
inference(forward_subsumption_resolution,[],[f420,f245]) ).
fof(f442,plain,
( ! [X0,X1] :
( ~ holdsAt(waterLevel(X1),plus(n0,X0))
| ~ less(n0,X0)
| stoppedIn(n0,filling,plus(n0,X0))
| plus(n0,X0) = X1 )
| ~ spl11_7 ),
inference(resolution,[],[f397,f177]) ).
fof(f445,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| ~ less(n0,n1)
| ~ spl11_7 ),
inference(superposition,[],[f397,f187]) ).
fof(f451,definition,
( spl11_11
<=> less(n0,n2) ),
introduced(definition,[new_symbols(definition,[spl11_11])],[avatar_definition]) ).
fof(f452,plain,
( less(n0,n2)
| ~ spl11_11 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f453,plain,
( ~ less(n0,n2)
| spl11_11 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f455,definition,
( spl11_12
<=> stoppedIn(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl11_12])],[avatar_definition]) ).
fof(f456,plain,
( ~ stoppedIn(n0,filling,n2)
| spl11_12 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f457,plain,
( stoppedIn(n0,filling,n2)
| ~ spl11_12 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f464,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| ~ spl11_7 ),
inference(forward_subsumption_resolution,[],[f445,f291]) ).
fof(f476,definition,
( spl11_16
<=> stoppedIn(n0,filling,n1) ),
introduced(definition,[new_symbols(definition,[spl11_16])],[avatar_definition]) ).
fof(f478,plain,
( stoppedIn(n0,filling,n1)
| ~ spl11_16 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f480,definition,
( spl11_17
<=> holdsAt(waterLevel(n1),n1) ),
introduced(definition,[new_symbols(definition,[spl11_17])],[avatar_definition]) ).
fof(f482,plain,
( holdsAt(waterLevel(n1),n1)
| ~ spl11_17 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f483,plain,
( spl11_16
| spl11_17
| ~ spl11_7 ),
inference(avatar_split_clause,[],[f464,f396,f480,f476]) ).
fof(f490,plain,
( n0 = n2
| spl11_11 ),
inference(resolution,[],[f453,f261]) ).
fof(f491,plain,
( $false
| spl11_2
| spl11_11 ),
inference(forward_subsumption_resolution,[],[f490,f318]) ).
fof(f492,plain,
( spl11_2
| spl11_11 ),
inference(avatar_contradiction_clause,[],[f491]) ).
fof(f496,plain,
( n0 = sK3(n0,filling,n1)
| ~ spl11_16 ),
inference(resolution,[],[f478,f278]) ).
fof(f498,plain,
( less(n0,n0)
| ~ stoppedIn(n0,filling,n1)
| ~ spl11_16 ),
inference(superposition,[],[f127,f496]) ).
fof(f500,plain,
( ~ stoppedIn(n0,filling,n1)
| ~ spl11_16 ),
inference(forward_subsumption_resolution,[],[f498,f250]) ).
fof(f501,plain,
( $false
| ~ spl11_16 ),
inference(forward_subsumption_resolution,[],[f500,f478]) ).
fof(f502,plain,
~ spl11_16,
inference(avatar_contradiction_clause,[],[f501]) ).
fof(f504,plain,
( ! [X0] :
( ~ holdsAt(waterLevel(X0),n1)
| n1 = X0 )
| ~ spl11_17 ),
inference(resolution,[],[f482,f177]) ).
fof(f518,plain,
( ~ happens(tapOn,n0)
| ~ releasedAt(filling,n1) ),
inference(resolution,[],[f285,f235]) ).
fof(f519,plain,
~ releasedAt(filling,n1),
inference(forward_subsumption_resolution,[],[f518,f245]) ).
fof(f530,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n2)
| n1 = sK3(X0,X1,n2)
| n0 = sK3(X0,X1,n2)
| less(sK3(X0,X1,n2),n0) ),
inference(resolution,[],[f391,f197]) ).
fof(f531,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n2)
| n1 = sK3(X0,X1,n2)
| n0 = sK3(X0,X1,n2) ),
inference(forward_subsumption_resolution,[],[f530,f200]) ).
fof(f532,plain,
( n1 = sK3(n0,filling,n2)
| n0 = sK3(n0,filling,n2)
| ~ spl11_12 ),
inference(resolution,[],[f531,f457]) ).
fof(f534,definition,
( spl11_21
<=> n0 = sK3(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl11_21])],[avatar_definition]) ).
fof(f536,plain,
( n0 = sK3(n0,filling,n2)
| ~ spl11_21 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f538,definition,
( spl11_22
<=> n1 = sK3(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl11_22])],[avatar_definition]) ).
fof(f540,plain,
( n1 = sK3(n0,filling,n2)
| ~ spl11_22 ),
inference(avatar_component_clause,[],[f538]) ).
fof(f541,plain,
( spl11_21
| spl11_22
| ~ spl11_12 ),
inference(avatar_split_clause,[],[f532,f455,f538,f534]) ).
fof(f545,plain,
( less(n0,n0)
| ~ stoppedIn(n0,filling,n2)
| ~ spl11_21 ),
inference(superposition,[],[f127,f536]) ).
fof(f547,plain,
( ~ stoppedIn(n0,filling,n2)
| ~ spl11_21 ),
inference(forward_subsumption_resolution,[],[f545,f250]) ).
fof(f548,plain,
( $false
| ~ spl11_12
| ~ spl11_21 ),
inference(forward_subsumption_resolution,[],[f547,f457]) ).
fof(f549,plain,
( ~ spl11_12
| ~ spl11_21 ),
inference(avatar_contradiction_clause,[],[f548]) ).
fof(f795,plain,
( ! [X0] :
( ~ holdsAt(waterLevel(X0),n2)
| ~ less(n0,n2)
| stoppedIn(n0,filling,n2)
| n2 = X0 )
| ~ spl11_7 ),
inference(superposition,[],[f442,f188]) ).
fof(f896,definition,
( spl11_43
<=> holdsAt(waterLevel(n3),n1) ),
introduced(definition,[new_symbols(definition,[spl11_43])],[avatar_definition]) ).
fof(f897,plain,
( ~ holdsAt(waterLevel(n3),n1)
| spl11_43 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f898,plain,
( holdsAt(waterLevel(n3),n1)
| ~ spl11_43 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f909,plain,
( n1 = n3
| ~ spl11_17
| ~ spl11_43 ),
inference(resolution,[],[f898,f504]) ).
fof(f917,plain,
( ~ holdsAt(filling,n1)
| ~ spl11_17
| ~ spl11_43 ),
inference(superposition,[],[f229,f909]) ).
fof(f951,plain,
( $false
| ~ spl11_17
| ~ spl11_43 ),
inference(forward_subsumption_resolution,[],[f917,f433]) ).
fof(f952,plain,
( ~ spl11_17
| ~ spl11_43 ),
inference(avatar_contradiction_clause,[],[f951]) ).
fof(f956,definition,
( spl11_46
<=> n0 = n1 ),
introduced(definition,[new_symbols(definition,[spl11_46])],[avatar_definition]) ).
fof(f957,plain,
( n0 != n1
| spl11_46 ),
inference(avatar_component_clause,[],[f956]) ).
fof(f958,plain,
( n0 = n1
| ~ spl11_46 ),
inference(avatar_component_clause,[],[f956]) ).
fof(f963,plain,
( ! [X0] :
( ~ holdsAt(waterLevel(X0),n2)
| stoppedIn(n0,filling,n2)
| n2 = X0 )
| ~ spl11_7
| ~ spl11_11 ),
inference(forward_subsumption_resolution,[],[f795,f452]) ).
fof(f966,plain,
( ! [X0] :
( ~ holdsAt(waterLevel(X0),n2)
| n2 = X0 )
| ~ spl11_7
| ~ spl11_11
| spl11_12 ),
inference(forward_subsumption_resolution,[],[f963,f456]) ).
fof(f988,definition,
( spl11_50
<=> ! [X0] :
( ~ holdsAt(waterLevel(X0),n2)
| n2 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl11_50])],[avatar_definition]) ).
fof(f989,plain,
( ! [X0] :
( ~ holdsAt(waterLevel(X0),n2)
| n2 = X0 )
| ~ spl11_50 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f996,plain,
( spl11_50
| ~ spl11_7
| ~ spl11_11
| spl11_12 ),
inference(avatar_split_clause,[],[f966,f455,f451,f396,f988]) ).
fof(f1171,plain,
! [X0] :
( happens(sK7(X0,n1),n1)
| releasedAt(X0,n1)
| ~ releasedAt(X0,n2) ),
inference(superposition,[],[f137,f190]) ).
fof(f1189,plain,
! [X0] :
( releasedAt(X0,n1)
| ~ releasedAt(X0,n2)
| holdsAt(waterLevel(n3),n1)
| n0 = n1 ),
inference(resolution,[],[f1171,f170]) ).
fof(f1190,plain,
( ! [X0] :
( releasedAt(X0,n1)
| ~ releasedAt(X0,n2)
| n0 = n1 )
| spl11_43 ),
inference(forward_subsumption_resolution,[],[f1189,f897]) ).
fof(f1193,plain,
( ! [X0] :
( ~ releasedAt(X0,n2)
| releasedAt(X0,n1) )
| spl11_43
| spl11_46 ),
inference(forward_subsumption_resolution,[],[f1190,f957]) ).
fof(f1223,plain,
! [X2,X0,X1] :
( holdsAt(waterLevel(n3),sK3(X0,X1,X2))
| ~ stoppedIn(X0,X1,X2)
| n0 = sK3(X0,X1,X2) ),
inference(resolution,[],[f128,f170]) ).
fof(f1395,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1)
| holdsAt(waterLevel(n3),X1)
| n0 = X1 ),
inference(resolution,[],[f131,f170]) ).
fof(f1398,plain,
! [X0,X1] :
( holdsAt(X1,plus(n1,X0))
| happens(sK4(X1,X0),X0)
| releasedAt(X1,plus(n1,X0))
| ~ holdsAt(X1,X0) ),
inference(superposition,[],[f131,f196]) ).
fof(f1421,plain,
! [X0] :
( happens(sK4(X0,n2),n2)
| holdsAt(X0,n3)
| releasedAt(X0,n3)
| ~ holdsAt(X0,n2) ),
inference(superposition,[],[f1398,f191]) ).
fof(f1432,plain,
! [X0] :
( holdsAt(X0,n3)
| releasedAt(X0,n3)
| ~ holdsAt(X0,n2)
| holdsAt(waterLevel(n3),n2)
| n0 = n2 ),
inference(resolution,[],[f1421,f170]) ).
fof(f1433,plain,
( ! [X0] :
( holdsAt(X0,n3)
| releasedAt(X0,n3)
| ~ holdsAt(X0,n2)
| holdsAt(waterLevel(n3),n2) )
| spl11_2 ),
inference(forward_subsumption_resolution,[],[f1432,f318]) ).
fof(f1437,definition,
( spl11_82
<=> holdsAt(waterLevel(n3),n2) ),
introduced(definition,[new_symbols(definition,[spl11_82])],[avatar_definition]) ).
fof(f1439,plain,
( holdsAt(waterLevel(n3),n2)
| ~ spl11_82 ),
inference(avatar_component_clause,[],[f1437]) ).
fof(f1446,definition,
( spl11_84
<=> ! [X0] :
( holdsAt(X0,n3)
| ~ holdsAt(X0,n2)
| releasedAt(X0,n3) ) ),
introduced(definition,[new_symbols(definition,[spl11_84])],[avatar_definition]) ).
fof(f1447,plain,
( ! [X0] :
( ~ holdsAt(X0,n2)
| holdsAt(X0,n3)
| releasedAt(X0,n3) )
| ~ spl11_84 ),
inference(avatar_component_clause,[],[f1446]) ).
fof(f1448,plain,
( spl11_82
| spl11_84
| spl11_2 ),
inference(avatar_split_clause,[],[f1433,f317,f1446,f1437]) ).
fof(f1453,plain,
( n3 = n2
| ~ spl11_50
| ~ spl11_82 ),
inference(resolution,[],[f1439,f989]) ).
fof(f1474,plain,
( less(n2,n2)
| ~ spl11_50
| ~ spl11_82 ),
inference(superposition,[],[f293,f1453]) ).
fof(f1505,plain,
( $false
| ~ spl11_50
| ~ spl11_82 ),
inference(forward_subsumption_resolution,[],[f1474,f250]) ).
fof(f1506,plain,
( ~ spl11_50
| ~ spl11_82 ),
inference(avatar_contradiction_clause,[],[f1505]) ).
fof(f1511,plain,
( holdsAt(filling,n3)
| releasedAt(filling,n3)
| ~ spl11_10
| ~ spl11_84 ),
inference(resolution,[],[f1447,f431]) ).
fof(f1522,plain,
( releasedAt(filling,n3)
| ~ spl11_10
| ~ spl11_84 ),
inference(forward_subsumption_resolution,[],[f1511,f229]) ).
fof(f1523,plain,
( $false
| ~ spl11_10
| ~ spl11_84 ),
inference(forward_subsumption_resolution,[],[f1522,f228]) ).
fof(f1524,plain,
( ~ spl11_10
| ~ spl11_84 ),
inference(avatar_contradiction_clause,[],[f1523]) ).
fof(f1547,plain,
! [X0] :
( holdsAt(X0,n2)
| releasedAt(X0,n2)
| ~ holdsAt(X0,n1)
| holdsAt(waterLevel(n3),n1)
| n0 = n1 ),
inference(superposition,[],[f1395,f190]) ).
fof(f1550,plain,
( ! [X0] :
( holdsAt(X0,n2)
| releasedAt(X0,n2)
| ~ holdsAt(X0,n1)
| n0 = n1 )
| spl11_43 ),
inference(forward_subsumption_resolution,[],[f1547,f897]) ).
fof(f1551,plain,
( ! [X0] :
( ~ holdsAt(X0,n1)
| releasedAt(X0,n2)
| holdsAt(X0,n2) )
| spl11_43
| spl11_46 ),
inference(forward_subsumption_resolution,[],[f1550,f957]) ).
fof(f1552,plain,
( releasedAt(filling,n2)
| holdsAt(filling,n2)
| spl11_43
| spl11_46 ),
inference(resolution,[],[f1551,f433]) ).
fof(f1563,plain,
( releasedAt(filling,n2)
| spl11_10
| spl11_43
| spl11_46 ),
inference(forward_subsumption_resolution,[],[f1552,f430]) ).
fof(f1565,plain,
( releasedAt(filling,n1)
| spl11_10
| spl11_43
| spl11_46 ),
inference(resolution,[],[f1563,f1193]) ).
fof(f1566,plain,
( $false
| spl11_10
| spl11_43
| spl11_46 ),
inference(forward_subsumption_resolution,[],[f1565,f519]) ).
fof(f1567,plain,
( spl11_10
| spl11_43
| spl11_46 ),
inference(avatar_contradiction_clause,[],[f1566]) ).
fof(f1575,plain,
( ~ holdsAt(filling,n1)
| ~ spl11_46 ),
inference(superposition,[],[f223,f958]) ).
fof(f1626,plain,
( $false
| ~ spl11_46 ),
inference(forward_subsumption_resolution,[],[f1575,f433]) ).
fof(f1627,plain,
~ spl11_46,
inference(avatar_contradiction_clause,[],[f1626]) ).
fof(f1655,plain,
( holdsAt(waterLevel(n3),n1)
| ~ stoppedIn(n0,filling,n2)
| n0 = n1
| ~ spl11_22 ),
inference(superposition,[],[f1223,f540]) ).
fof(f1656,plain,
( ~ stoppedIn(n0,filling,n2)
| n0 = n1
| ~ spl11_22
| spl11_43 ),
inference(forward_subsumption_resolution,[],[f1655,f897]) ).
fof(f1659,plain,
( n0 = n1
| ~ spl11_12
| ~ spl11_22
| spl11_43 ),
inference(forward_subsumption_resolution,[],[f1656,f457]) ).
fof(f1660,plain,
( $false
| ~ spl11_12
| ~ spl11_22
| spl11_43
| spl11_46 ),
inference(forward_subsumption_resolution,[],[f1659,f957]) ).
fof(f1661,plain,
( ~ spl11_12
| ~ spl11_22
| spl11_43
| spl11_46 ),
inference(avatar_contradiction_clause,[],[f1660]) ).
cnf(s3,plain,
~ spl11_2,
inference(sat_conversion,[],[f338]) ).
cnf(s7,plain,
( spl11_7
| spl11_8 ),
inference(sat_conversion,[],[f401]) ).
cnf(s8,plain,
~ spl11_8,
inference(sat_conversion,[],[f418]) ).
cnf(s12,plain,
( ~ spl11_7
| spl11_16
| spl11_17 ),
inference(sat_conversion,[],[f483]) ).
cnf(s14,plain,
( spl11_2
| spl11_11 ),
inference(sat_conversion,[],[f492]) ).
cnf(s15,plain,
~ spl11_16,
inference(sat_conversion,[],[f502]) ).
cnf(s17,plain,
( ~ spl11_12
| spl11_21
| spl11_22 ),
inference(sat_conversion,[],[f541]) ).
cnf(s18,plain,
( ~ spl11_12
| ~ spl11_21 ),
inference(sat_conversion,[],[f549]) ).
cnf(s40,plain,
( ~ spl11_17
| ~ spl11_43 ),
inference(sat_conversion,[],[f952]) ).
cnf(s50,plain,
( ~ spl11_7
| ~ spl11_11
| spl11_12
| spl11_50 ),
inference(sat_conversion,[],[f996]) ).
cnf(s81,plain,
( spl11_2
| spl11_82
| spl11_84 ),
inference(sat_conversion,[],[f1448]) ).
cnf(s86,plain,
( ~ spl11_50
| ~ spl11_82 ),
inference(sat_conversion,[],[f1506]) ).
cnf(s89,plain,
( ~ spl11_10
| ~ spl11_84 ),
inference(sat_conversion,[],[f1524]) ).
cnf(s93,plain,
( spl11_10
| spl11_43
| spl11_46 ),
inference(sat_conversion,[],[f1567]) ).
cnf(s100,plain,
~ spl11_46,
inference(sat_conversion,[],[f1627]) ).
cnf(s106,plain,
( ~ spl11_12
| ~ spl11_22
| spl11_43
| spl11_46 ),
inference(sat_conversion,[],[f1661]) ).
cnf(s107,plain,
( spl11_10
| spl11_43 ),
inference(rat,[],[s93,s100]) ).
cnf(s115,plain,
( ~ spl11_7
| spl11_17 ),
inference(rat,[],[s12,s15]) ).
cnf(s116,plain,
spl11_7,
inference(rat,[],[s7,s8]) ).
cnf(s119,plain,
spl11_17,
inference(rat,[],[s115,s116]) ).
cnf(s121,plain,
~ spl11_43,
inference(rat,[],[s40,s119]) ).
cnf(s122,plain,
spl11_10,
inference(rat,[],[s107,s121]) ).
cnf(s125,plain,
~ spl11_84,
inference(rat,[],[s89,s122]) ).
cnf(s128,plain,
spl11_82,
inference(rat,[],[s81,s125,s3]) ).
cnf(s129,plain,
spl11_11,
inference(rat,[],[s14,s3]) ).
cnf(s130,plain,
~ spl11_50,
inference(rat,[],[s86,s128]) ).
cnf(s132,plain,
spl11_12,
inference(rat,[],[s50,s130,s116,s129]) ).
cnf(s134,plain,
~ spl11_22,
inference(rat,[],[s106,s100,s121,s132]) ).
cnf(s135,plain,
~ spl11_21,
inference(rat,[],[s18,s132]) ).
cnf(s136,plain,
$false,
inference(rat,[],[s17,s134,s135,s132]) ).
fof(f1662,plain,
$false,
inference(avatar_sat_refutation,[],[s136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR005+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 % Computer : n011.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.23 % DateTime : Mon Sep 28 22:05:16 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.26 Running first-order theorem proving
% 0.09/0.26 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.51/1.50 % (3835243)Detected formulas, will run a generic FOF schedule.
% 5.51/1.50 % (3835254)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=3556563726:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.51/1.50 % (3835259)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2306602563:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.51/1.50 % (3835255)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=1298977504:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.51/1.50 % (3835260)dis-21_1_sil=8000:lcm=predicate:random_seed=3703472226: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)
% 5.51/1.50 % (3835258)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2379631293:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.51/1.50 % (3835258)Refutation not found, incomplete strategy
% 5.51/1.50 % (3835258)------------------------------
% 5.51/1.50 % (3835258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.51/1.50 % (3835258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.50 % (3835258)CaDiCaL version: 2.1.3
% 5.51/1.50 % (3835258)Termination reason: Refutation not found, incomplete strategy
% 5.51/1.50 % (3835258)Time elapsed: 0.003 s
% 5.51/1.50 % (3835258)Peak memory usage: 88 MB
% 5.51/1.50 % (3835258)Instructions burned: 1 (million)
% 5.51/1.50 % (3835257)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3120434547:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.51/1.50 % (3835256)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=346357573:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.51/1.50 % (3835257)Refutation not found, incomplete strategy
% 5.51/1.50 % (3835257)------------------------------
% 5.51/1.50 % (3835257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.51/1.50 % (3835257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.50 % (3835257)CaDiCaL version: 2.1.3
% 5.51/1.50 % (3835257)Termination reason: Refutation not found, incomplete strategy
% 5.51/1.50 % (3835257)Time elapsed: 0.002 s
% 5.51/1.50 % (3835257)Peak memory usage: 88 MB
% 5.51/1.50 % (3835259)Instruction limit reached!
% 5.51/1.50 % (3835259)------------------------------
% 5.51/1.50 % (3835259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.51/1.50 % (3835259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.50 % (3835259)CaDiCaL version: 2.1.3
% 5.51/1.50 % (3835259)Termination reason: Instruction limit
% 5.51/1.50 % (3835259)Termination phase: Saturation
% 5.51/1.50 % (3835259)Time elapsed: 0.132 s
% 5.51/1.50 % (3835259)Peak memory usage: 90 MB
% 5.51/1.50 % (3835259)Instructions burned: 140 (million)
% 5.51/1.50 % (3835260)Instruction limit reached!
% 5.51/1.50 % (3835260)------------------------------
% 5.51/1.50 % (3835260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.51/1.50 % (3835260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.50 % (3835260)CaDiCaL version: 2.1.3
% 5.51/1.50 % (3835260)Termination reason: Instruction limit
% 5.51/1.50 % (3835260)Termination phase: Saturation
% 5.51/1.50 % (3835260)Time elapsed: 0.096 s
% 5.51/1.50 % (3835260)Peak memory usage: 89 MB
% 5.51/1.50 % (3835260)Instructions burned: 130 (million)
% 5.51/1.50 % (3835273)lrs+10_1_sil=8000:sp=occurrence:random_seed=3913899679:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.51/1.50 % (3835274)lrs+10_1_sil=32000:urr=on:br=off:random_seed=430208888:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.51/1.50 % (3835274)Refutation not found, incomplete strategy
% 5.51/1.50 % (3835274)------------------------------
% 5.51/1.50 % (3835274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.51/1.50 % (3835274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.51/1.50 % (3835274)CaDiCaL version: 2.1.3
% 5.51/1.50 % (3835274)Termination reason: Refutation not found, incomplete strategy
% 5.51/1.50 % (3835274)Time elapsed: 0.002 s
% 6.71/1.50 % (3835274)Peak memory usage: 88 MB
% 6.71/1.50 % (3835258)------------------------------
% 6.71/1.50 % (3835258)------------------------------
% 6.71/1.50 % (3835257)------------------------------
% 6.71/1.50 % (3835257)------------------------------
% 6.71/1.50 % (3835273)Instruction limit reached!
% 6.71/1.50 % (3835273)------------------------------
% 6.71/1.50 % (3835273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.50 % (3835273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.50 % (3835273)CaDiCaL version: 2.1.3
% 6.71/1.50 % (3835273)Termination reason: Instruction limit
% 6.71/1.50 % (3835273)Termination phase: Saturation
% 6.71/1.50 % (3835273)Time elapsed: 0.206 s
% 6.71/1.50 % (3835273)Peak memory usage: 90 MB
% 6.71/1.50 % (3835273)Instructions burned: 286 (million)
% 6.71/1.50 % (3835282)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1355282490:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 6.71/1.50 % (3835254)First to succeed.
% 6.71/1.50 % (3835254)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3835243"
% 6.71/1.50 % (3835283)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=109812256:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 6.71/1.50 % (3835274)------------------------------
% 6.71/1.50 % (3835274)------------------------------
% 6.71/1.50 % (3835284)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3126302741:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 6.71/1.50 % (3835283)Instruction limit reached!
% 6.71/1.50 % (3835283)------------------------------
% 6.71/1.50 % (3835283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/1.50 % (3835283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.50 % (3835283)CaDiCaL version: 2.1.3
% 6.71/1.50 % (3835283)Termination reason: Instruction limit
% 6.71/1.50 % (3835283)Termination phase: Saturation
% 6.71/1.50 % (3835283)Time elapsed: 0.136 s
% 6.71/1.50 % (3835283)Peak memory usage: 90 MB
% 6.71/1.50 % (3835283)Instructions burned: 249 (million)
% 6.71/1.50 % (3835254)Refutation found. Thanks to Tanya!
% 6.71/1.50 % SZS status Theorem for theBenchmark
% 6.71/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 6.82/1.69 % (3835254)------------------------------
% 6.82/1.69 % (3835254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.82/1.69 % (3835254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.82/1.69 % (3835254)CaDiCaL version: 2.1.3
% 6.82/1.69 % (3835254)Termination reason: Refutation
% 6.82/1.69 % (3835254)Time elapsed: 0.593 s
% 6.82/1.69 % (3835254)Peak memory usage: 131 MB
% 6.82/1.69 % (3835254)Instructions burned: 1112 (million)
% 6.82/1.69 % (3835254)------------------------------
% 6.82/1.69 % (3835254)------------------------------
% 6.82/1.69 % (3835243)Success in time 0.884 s
% 6.82/1.69 % Vampire exiting
%------------------------------------------------------------------------------