%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR003+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 6.55s 1.92s
% Output : Refutation 9.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 51
% Syntax : Number of formulae : 351 ( 62 unt; 26 def)
% Number of atoms : 1013 ( 187 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 1067 ( 405 ~; 530 |; 88 &)
% ( 36 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 25 prp; 0-4 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-3 aty)
% Number of variables : 299 ( 0 sgn 280 !; 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/sandbox/benchmark/theBenchmark.p',stoppedin_defn) ).
fof(f3,axiom,
! [X0,X1,X2,X3,X4] :
( ( happens(X0,X1)
& initiates(X0,X2,X1)
& less(n0,X4)
& trajectory(X2,X1,X3,X4)
& ~ stoppedIn(X1,X2,plus(X1,X4)) )
=> holdsAt(X3,plus(X1,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',change_holding) ).
fof(f5,axiom,
! [X0,X1] :
( ( holdsAt(X0,X1)
& ~ releasedAt(X0,plus(X1,n1))
& ~ ? [X2] :
( happens(X2,X1)
& terminates(X2,X0,X1) ) )
=> holdsAt(X0,plus(X1,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',keep_holding) ).
fof(f8,axiom,
! [X0,X1] :
( ( ~ releasedAt(X0,X1)
& ~ ? [X2] :
( happens(X2,X1)
& releases(X2,X0,X1) ) )
=> ~ releasedAt(X0,plus(X1,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',keep_not_released) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( happens(X0,X1)
& initiates(X0,X2,X1) )
=> holdsAt(X2,plus(X1,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_holds) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( happens(X0,X1)
& ( initiates(X0,X2,X1)
| terminates(X0,X2,X1) ) )
=> ~ releasedAt(X2,plus(X1,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_not_released) ).
fof(f13,axiom,
! [X0,X1,X2] :
( initiates(X0,X1,X2)
<=> ( ( X0 = tapOn
& X1 = filling )
| ( X0 = overflow
& X1 = spilling )
| ? [X3] :
( holdsAt(waterLevel(X3),X2)
& X0 = tapOff
& X1 = waterLevel(X3) )
| ? [X3] :
( holdsAt(waterLevel(X3),X2)
& X0 = overflow
& X1 = waterLevel(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initiates_all_defn) ).
fof(f16,axiom,
! [X0,X1] :
( happens(X0,X1)
<=> ( ( X0 = tapOn
& X1 = n0 )
| ( holdsAt(waterLevel(n3),X1)
& holdsAt(filling,X1)
& X0 = overflow ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_all_defn) ).
fof(f17,axiom,
! [X0,X1,X2,X3] :
( ( holdsAt(waterLevel(X0),X1)
& X2 = plus(X0,X3) )
=> trajectory(filling,X1,waterLevel(X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',change_of_waterLevel) ).
fof(f18,axiom,
! [X0,X1,X2] :
( ( holdsAt(waterLevel(X1),X0)
& holdsAt(waterLevel(X2),X0) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',same_waterLevel) ).
fof(f27,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).
fof(f28,axiom,
plus(n0,n2) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_2) ).
fof(f29,axiom,
plus(n0,n3) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_3) ).
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(f55,conjecture,
holdsAt(spilling,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',spilling_4) ).
fof(f56,negated_conjecture,
~ holdsAt(spilling,n4),
inference(negated_conjecture,[status(cth)],[f55]) ).
fof(f57,plain,
! [X0,X1,X2] :
( initiates(X0,X1,X2)
<=> ( ( X0 = tapOn
& X1 = filling )
| ( X0 = overflow
& X1 = spilling )
| ? [X3] :
( holdsAt(waterLevel(X3),X2)
& X0 = tapOff
& X1 = waterLevel(X3) )
| ? [X4] :
( holdsAt(waterLevel(X4),X2)
& X0 = overflow
& waterLevel(X4) = X1 ) ) ),
inference(rectify,[],[f13]) ).
fof(f58,plain,
~ holdsAt(spilling,n4),
inference(flattening,[],[f56]) ).
fof(f60,plain,
! [X0,X1,X2] :
( stoppedIn(X0,X1,X2)
=> ? [X3,X4] :
( happens(X3,X4)
& less(X0,X4)
& less(X4,X2)
& terminates(X3,X1,X4) ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( happens(X3,X4)
& less(X0,X4)
& less(X4,X2)
& terminates(X3,X1,X4) )
| ~ stoppedIn(X0,X1,X2) ),
inference(ennf_transformation,[],[f60]) ).
fof(f64,plain,
! [X0,X1,X2,X3,X4] :
( holdsAt(X3,plus(X1,X4))
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1)
| ~ less(n0,X4)
| ~ trajectory(X2,X1,X3,X4)
| stoppedIn(X1,X2,plus(X1,X4)) ),
inference(ennf_transformation,[],[f3]) ).
fof(f65,plain,
! [X0,X1,X2,X3,X4] :
( holdsAt(X3,plus(X1,X4))
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1)
| ~ less(n0,X4)
| ~ trajectory(X2,X1,X3,X4)
| stoppedIn(X1,X2,plus(X1,X4)) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1)
| releasedAt(X0,plus(X1,n1))
| ? [X2] :
( happens(X2,X1)
& terminates(X2,X0,X1) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f67,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1)
| releasedAt(X0,plus(X1,n1))
| ? [X2] :
( happens(X2,X1)
& terminates(X2,X0,X1) ) ),
inference(flattening,[],[f66]) ).
fof(f72,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| releasedAt(X0,X1)
| ? [X2] :
( happens(X2,X1)
& releases(X2,X0,X1) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f73,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| releasedAt(X0,X1)
| ? [X2] :
( happens(X2,X1)
& releases(X2,X0,X1) ) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0,X1,X2] :
( holdsAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f75,plain,
! [X0,X1,X2] :
( holdsAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1) ),
inference(flattening,[],[f74]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ~ releasedAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ( ~ initiates(X0,X2,X1)
& ~ terminates(X0,X2,X1) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ~ releasedAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ( ~ initiates(X0,X2,X1)
& ~ terminates(X0,X2,X1) ) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( trajectory(filling,X1,waterLevel(X2),X3)
| ~ holdsAt(waterLevel(X0),X1)
| plus(X0,X3) != X2 ),
inference(ennf_transformation,[],[f17]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( trajectory(filling,X1,waterLevel(X2),X3)
| ~ holdsAt(waterLevel(X0),X1)
| plus(X0,X3) != X2 ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ holdsAt(waterLevel(X1),X0)
| ~ holdsAt(waterLevel(X2),X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f85,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ holdsAt(waterLevel(X1),X0)
| ~ holdsAt(waterLevel(X2),X0) ),
inference(flattening,[],[f84]) ).
fof(f86,plain,
! [X0] : ~ less(X0,n0),
inference(ennf_transformation,[],[f38]) ).
fof(f87,definition,
! [X2,X0,X1] :
( sP0(X2,X0,X1)
<=> ? [X4] :
( holdsAt(waterLevel(X4),X2)
& X0 = overflow
& waterLevel(X4) = X1 ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f88,definition,
! [X2,X0,X1] :
( sP1(X2,X0,X1)
<=> ? [X3] :
( holdsAt(waterLevel(X3),X2)
& X0 = tapOff
& X1 = waterLevel(X3) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f89,plain,
! [X0,X1,X2] :
( initiates(X0,X1,X2)
<=> ( ( X0 = tapOn
& X1 = filling )
| ( X0 = overflow
& X1 = spilling )
| sP1(X2,X0,X1)
| sP0(X2,X0,X1) ) ),
inference(definition_folding,[],[f57,f88,f87]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ( happens(sK2(X0,X1,X2),sK3(X0,X1,X2))
& less(X0,sK3(X0,X1,X2))
& less(sK3(X0,X1,X2),X2)
& terminates(sK2(X0,X1,X2),X1,sK3(X0,X1,X2)) )
| ~ stoppedIn(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X3,sK2(X0,X1,X2)),skolemize(X4,sK3(X0,X1,X2))],[f63]) ).
fof(f91,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1)
| releasedAt(X0,plus(X1,n1))
| ( happens(sK4(X0,X1),X1)
& terminates(sK4(X0,X1),X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f67]) ).
fof(f94,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))],[f73]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ( initiates(X0,X1,X2)
| ( ( tapOn != X0
| filling != X1 )
& ( overflow != X0
| spilling != X1 )
& ~ sP1(X2,X0,X1)
& ~ sP0(X2,X0,X1) ) )
& ( ( X0 = tapOn
& X1 = filling )
| ( X0 = overflow
& X1 = spilling )
| sP1(X2,X0,X1)
| sP0(X2,X0,X1)
| ~ initiates(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f89]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ( initiates(X0,X1,X2)
| ( ( tapOn != X0
| filling != X1 )
& ( overflow != X0
| spilling != X1 )
& ~ sP1(X2,X0,X1)
& ~ sP0(X2,X0,X1) ) )
& ( ( X0 = tapOn
& X1 = filling )
| ( X0 = overflow
& X1 = spilling )
| sP1(X2,X0,X1)
| sP0(X2,X0,X1)
| ~ initiates(X0,X1,X2) ) ),
inference(flattening,[],[f101]) ).
fof(f108,plain,
! [X0,X1] :
( ( happens(X0,X1)
| ( ( tapOn != X0
| n0 != X1 )
& ( ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1)
| overflow != X0 ) ) )
& ( ( X0 = tapOn
& X1 = n0 )
| ( holdsAt(waterLevel(n3),X1)
& holdsAt(filling,X1)
& X0 = overflow )
| ~ happens(X0,X1) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f109,plain,
! [X0,X1] :
( ( happens(X0,X1)
| ( ( tapOn != X0
| n0 != X1 )
& ( ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1)
| overflow != X0 ) ) )
& ( ( X0 = tapOn
& X1 = n0 )
| ( holdsAt(waterLevel(n3),X1)
& holdsAt(filling,X1)
& X0 = overflow )
| ~ happens(X0,X1) ) ),
inference(flattening,[],[f108]) ).
fof(f111,plain,
! [X0,X1] :
( ( less_or_equal(X0,X1)
| ( ~ less(X0,X1)
& X0 != X1 ) )
& ( less(X0,X1)
| X0 = X1
| ~ less_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f112,plain,
! [X0,X1] :
( ( less_or_equal(X0,X1)
| ( ~ less(X0,X1)
& X0 != X1 ) )
& ( less(X0,X1)
| X0 = X1
| ~ less_or_equal(X0,X1) ) ),
inference(flattening,[],[f111]) ).
fof(f113,plain,
! [X0] :
( ( less(X0,n1)
| ~ less_or_equal(X0,n0) )
& ( less_or_equal(X0,n0)
| ~ less(X0,n1) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f114,plain,
! [X0] :
( ( less(X0,n2)
| ~ less_or_equal(X0,n1) )
& ( less_or_equal(X0,n1)
| ~ less(X0,n2) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f115,plain,
! [X0] :
( ( less(X0,n3)
| ~ less_or_equal(X0,n2) )
& ( less_or_equal(X0,n2)
| ~ less(X0,n3) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f122,plain,
! [X0,X1] :
( ( less(X0,X1)
| less(X1,X0)
| X0 = X1 )
& ( ( ~ less(X1,X0)
& X1 != X0 )
| ~ less(X0,X1) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f123,plain,
! [X0,X1] :
( ( less(X0,X1)
| less(X1,X0)
| X0 = X1 )
& ( ( ~ less(X1,X0)
& X1 != X0 )
| ~ less(X0,X1) ) ),
inference(flattening,[],[f122]) ).
fof(f125,plain,
! [X2,X0,X1] :
( less(sK3(X0,X1,X2),X2)
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f126,plain,
! [X2,X0,X1] :
( less(X0,sK3(X0,X1,X2))
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f127,plain,
! [X2,X0,X1] :
( happens(sK2(X0,X1,X2),sK3(X0,X1,X2))
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f128,plain,
! [X2,X3,X0,X1,X4] :
( ~ trajectory(X2,X1,X3,X4)
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1)
| ~ less(n0,X4)
| holdsAt(X3,plus(X1,X4))
| stoppedIn(X1,X2,plus(X1,X4)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f130,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| happens(sK4(X0,X1),X1)
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1) ),
inference(cnf_transformation,[],[f91]) ).
fof(f136,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| releasedAt(X0,X1)
| happens(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ~ initiates(X0,X2,X1)
| ~ happens(X0,X1)
| holdsAt(X2,plus(X1,n1)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ releasedAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f156,plain,
! [X2,X0,X1] :
( initiates(X0,X1,X2)
| overflow != X0
| spilling != X1 ),
inference(cnf_transformation,[],[f102]) ).
fof(f157,plain,
! [X2,X0,X1] :
( initiates(X0,X1,X2)
| tapOn != X0
| filling != X1 ),
inference(cnf_transformation,[],[f102]) ).
fof(f169,plain,
! [X0,X1] :
( ~ happens(X0,X1)
| holdsAt(waterLevel(n3),X1)
| n0 = X1 ),
inference(cnf_transformation,[],[f109]) ).
fof(f173,plain,
! [X0,X1] :
( happens(X0,X1)
| ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1)
| overflow != X0 ),
inference(cnf_transformation,[],[f109]) ).
fof(f174,plain,
! [X0,X1] :
( happens(X0,X1)
| tapOn != X0
| n0 != X1 ),
inference(cnf_transformation,[],[f109]) ).
fof(f175,plain,
! [X2,X3,X0,X1] :
( trajectory(filling,X1,waterLevel(X2),X3)
| ~ holdsAt(waterLevel(X0),X1)
| plus(X0,X3) != X2 ),
inference(cnf_transformation,[],[f83]) ).
fof(f176,plain,
! [X2,X0,X1] :
( ~ holdsAt(waterLevel(X2),X0)
| ~ holdsAt(waterLevel(X1),X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f85]) ).
fof(f186,plain,
n1 = plus(n0,n1),
inference(cnf_transformation,[],[f27]) ).
fof(f187,plain,
n2 = plus(n0,n2),
inference(cnf_transformation,[],[f28]) ).
fof(f188,plain,
n3 = plus(n0,n3),
inference(cnf_transformation,[],[f29]) ).
fof(f189,plain,
n2 = plus(n1,n1),
inference(cnf_transformation,[],[f30]) ).
fof(f190,plain,
n3 = plus(n1,n2),
inference(cnf_transformation,[],[f31]) ).
fof(f191,plain,
plus(n1,n3) = n4,
inference(cnf_transformation,[],[f32]) ).
fof(f195,plain,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
inference(cnf_transformation,[],[f36]) ).
fof(f196,plain,
! [X0,X1] :
( ~ less_or_equal(X0,X1)
| X0 = X1
| less(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f197,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f112]) ).
fof(f198,plain,
! [X0,X1] :
( ~ less(X0,X1)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f199,plain,
! [X0] : ~ less(X0,n0),
inference(cnf_transformation,[],[f86]) ).
fof(f200,plain,
! [X0] :
( ~ less(X0,n1)
| less_or_equal(X0,n0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f201,plain,
! [X0] :
( ~ less_or_equal(X0,n0)
| less(X0,n1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f202,plain,
! [X0] :
( ~ less(X0,n2)
| less_or_equal(X0,n1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f203,plain,
! [X0] :
( ~ less_or_equal(X0,n1)
| less(X0,n2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f204,plain,
! [X0] :
( ~ less(X0,n3)
| less_or_equal(X0,n2) ),
inference(cnf_transformation,[],[f115]) ).
fof(f205,plain,
! [X0] :
( ~ less_or_equal(X0,n2)
| less(X0,n3) ),
inference(cnf_transformation,[],[f115]) ).
fof(f218,plain,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f219,plain,
! [X0,X1] :
( ~ less(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f220,plain,
! [X0,X1] :
( less(X1,X0)
| less(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f123]) ).
fof(f221,plain,
holdsAt(waterLevel(n0),n0),
inference(cnf_transformation,[],[f49]) ).
fof(f227,plain,
~ holdsAt(spilling,n4),
inference(cnf_transformation,[],[f58]) ).
fof(f232,plain,
! [X2,X1] :
( initiates(tapOn,X1,X2)
| filling != X1 ),
inference(equality_resolution,[],[f157]) ).
fof(f233,plain,
! [X2] : initiates(tapOn,filling,X2),
inference(equality_resolution,[],[f232]) ).
fof(f234,plain,
! [X2,X1] :
( initiates(overflow,X1,X2)
| spilling != X1 ),
inference(equality_resolution,[],[f156]) ).
fof(f235,plain,
! [X2] : initiates(overflow,spilling,X2),
inference(equality_resolution,[],[f234]) ).
fof(f242,plain,
! [X1] :
( happens(tapOn,X1)
| n0 != X1 ),
inference(equality_resolution,[],[f174]) ).
fof(f243,plain,
happens(tapOn,n0),
inference(equality_resolution,[],[f242]) ).
fof(f244,plain,
! [X1] :
( ~ holdsAt(waterLevel(n3),X1)
| happens(overflow,X1)
| ~ holdsAt(filling,X1) ),
inference(equality_resolution,[],[f173]) ).
fof(f245,plain,
! [X3,X0,X1] :
( trajectory(filling,X1,waterLevel(plus(X0,X3)),X3)
| ~ holdsAt(waterLevel(X0),X1) ),
inference(equality_resolution,[],[f175]) ).
fof(f247,plain,
! [X1] : less_or_equal(X1,X1),
inference(equality_resolution,[],[f197]) ).
fof(f248,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f218]) ).
fof(f252,plain,
less(n1,n2),
inference(resolution,[],[f203,f247]) ).
fof(f253,plain,
less(n2,n3),
inference(resolution,[],[f205,f247]) ).
fof(f254,plain,
less(n0,n1),
inference(resolution,[],[f201,f247]) ).
fof(f256,plain,
less_or_equal(n0,n1),
inference(resolution,[],[f198,f254]) ).
fof(f265,plain,
n1 = plus(n1,n0),
inference(superposition,[],[f195,f186]) ).
fof(f268,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n1),n0)
| ~ stoppedIn(X0,X1,n1) ),
inference(resolution,[],[f125,f200]) ).
fof(f269,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n2),n1)
| ~ stoppedIn(X0,X1,n2) ),
inference(resolution,[],[f125,f202]) ).
fof(f272,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n3),n2)
| ~ stoppedIn(X0,X1,n3) ),
inference(resolution,[],[f204,f125]) ).
fof(f281,plain,
! [X0] :
( less(n0,X0)
| n0 = X0 ),
inference(resolution,[],[f220,f199]) ).
fof(f282,plain,
! [X0] :
( less_or_equal(X0,n0)
| n1 = X0
| less(n1,X0) ),
inference(resolution,[],[f220,f200]) ).
fof(f292,plain,
~ less(n2,n1),
inference(resolution,[],[f219,f252]) ).
fof(f298,plain,
! [X0,X1] :
( ~ initiates(X1,X0,n0)
| ~ happens(X1,n0)
| ~ releasedAt(X0,n1) ),
inference(superposition,[],[f141,f186]) ).
fof(f303,plain,
! [X0] :
( holdsAt(spilling,plus(X0,n1))
| ~ happens(overflow,X0) ),
inference(resolution,[],[f235,f137]) ).
fof(f305,plain,
! [X0] :
( holdsAt(spilling,plus(n1,X0))
| ~ happens(overflow,X0) ),
inference(superposition,[],[f303,f195]) ).
fof(f328,plain,
( holdsAt(spilling,n4)
| ~ happens(overflow,n3) ),
inference(superposition,[],[f305,f191]) ).
fof(f341,plain,
~ happens(overflow,n3),
inference(forward_subsumption_resolution,[],[f328,f227]) ).
fof(f347,plain,
( n0 = n3
| less_or_equal(n0,n2) ),
inference(resolution,[],[f281,f204]) ).
fof(f360,definition,
( spl11_9
<=> less_or_equal(n0,n2) ),
introduced(definition,[new_symbols(definition,[spl11_9])],[avatar_definition]) ).
fof(f362,plain,
( less_or_equal(n0,n2)
| ~ spl11_9 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f364,definition,
( spl11_10
<=> n0 = n3 ),
introduced(definition,[new_symbols(definition,[spl11_10])],[avatar_definition]) ).
fof(f366,plain,
( n0 = n3
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f367,plain,
( spl11_9
| spl11_10 ),
inference(avatar_split_clause,[],[f347,f364,f360]) ).
fof(f377,plain,
! [X0,X1] :
( less(sK3(X0,X1,n3),n2)
| n2 = sK3(X0,X1,n3)
| ~ stoppedIn(X0,X1,n3) ),
inference(resolution,[],[f272,f196]) ).
fof(f378,plain,
! [X2,X3,X0,X1] :
( ~ holdsAt(waterLevel(X0),X1)
| ~ happens(X2,X1)
| ~ initiates(X2,filling,X1)
| ~ less(n0,X3)
| holdsAt(waterLevel(plus(X0,X3)),plus(X1,X3))
| stoppedIn(X1,filling,plus(X1,X3)) ),
inference(resolution,[],[f245,f128]) ).
fof(f391,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n1)
| n0 = sK3(X0,X1,n1)
| less(sK3(X0,X1,n1),n0) ),
inference(resolution,[],[f268,f196]) ).
fof(f392,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n1)
| n0 = sK3(X0,X1,n1) ),
inference(forward_subsumption_resolution,[],[f391,f199]) ).
fof(f395,plain,
less(n0,n2),
inference(resolution,[],[f256,f203]) ).
fof(f406,plain,
! [X0,X1] :
( less(sK3(X0,X1,n2),n1)
| n1 = sK3(X0,X1,n2)
| ~ stoppedIn(X0,X1,n2) ),
inference(resolution,[],[f269,f196]) ).
fof(f415,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n2),n0)
| ~ stoppedIn(X0,X1,n2)
| n1 = sK3(X0,X1,n2) ),
inference(resolution,[],[f406,f200]) ).
fof(f423,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n3),n1)
| ~ stoppedIn(X0,X1,n3)
| n2 = sK3(X0,X1,n3) ),
inference(resolution,[],[f377,f202]) ).
fof(f445,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,[],[f415,f196]) ).
fof(f446,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n2)
| n1 = sK3(X0,X1,n2)
| n0 = sK3(X0,X1,n2) ),
inference(forward_subsumption_resolution,[],[f445,f199]) ).
fof(f449,plain,
! [X0] :
( holdsAt(filling,plus(X0,n1))
| ~ happens(tapOn,X0) ),
inference(resolution,[],[f233,f137]) ).
fof(f450,plain,
( ~ happens(tapOn,n0)
| ~ releasedAt(filling,n1) ),
inference(resolution,[],[f233,f298]) ).
fof(f453,definition,
( spl11_13
<=> releasedAt(filling,n2) ),
introduced(definition,[new_symbols(definition,[spl11_13])],[avatar_definition]) ).
fof(f454,plain,
( releasedAt(filling,n2)
| ~ spl11_13 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f455,plain,
( ~ releasedAt(filling,n2)
| spl11_13 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f461,plain,
~ releasedAt(filling,n1),
inference(forward_subsumption_resolution,[],[f450,f243]) ).
fof(f488,plain,
( less(n0,n3)
| ~ spl11_9 ),
inference(resolution,[],[f362,f205]) ).
fof(f497,plain,
! [X0,X1] :
( less(sK3(X0,X1,n3),n1)
| n2 = sK3(X0,X1,n3)
| n1 = sK3(X0,X1,n3)
| ~ stoppedIn(X0,X1,n3) ),
inference(resolution,[],[f423,f196]) ).
fof(f500,plain,
! [X0] :
( n1 = X0
| less(n1,X0)
| n0 = X0
| less(X0,n0) ),
inference(resolution,[],[f282,f196]) ).
fof(f501,plain,
! [X0] :
( less(n1,X0)
| n1 = X0
| n0 = X0 ),
inference(forward_subsumption_resolution,[],[f500,f199]) ).
fof(f503,plain,
! [X0] :
( ~ less(X0,n1)
| n0 = X0
| n1 = X0 ),
inference(resolution,[],[f501,f219]) ).
fof(f522,definition,
( spl11_16
<=> n1 = n3 ),
introduced(definition,[new_symbols(definition,[spl11_16])],[avatar_definition]) ).
fof(f524,plain,
( n1 = n3
| ~ spl11_16 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f531,plain,
( less(n2,n0)
| ~ spl11_10 ),
inference(superposition,[],[f253,f366]) ).
fof(f549,plain,
( $false
| ~ spl11_10 ),
inference(forward_subsumption_resolution,[],[f531,f199]) ).
fof(f550,plain,
~ spl11_10,
inference(avatar_contradiction_clause,[],[f549]) ).
fof(f650,plain,
( holdsAt(filling,n1)
| ~ happens(tapOn,n0) ),
inference(superposition,[],[f449,f186]) ).
fof(f653,definition,
( spl11_19
<=> holdsAt(filling,n2) ),
introduced(definition,[new_symbols(definition,[spl11_19])],[avatar_definition]) ).
fof(f655,plain,
( holdsAt(filling,n2)
| ~ spl11_19 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f657,plain,
holdsAt(filling,n1),
inference(forward_subsumption_resolution,[],[f650,f243]) ).
fof(f662,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,[],[f378,f221]) ).
fof(f664,definition,
( spl11_21
<=> ! [X1] :
( ~ less(n0,X1)
| stoppedIn(n0,filling,plus(n0,X1))
| holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl11_21])],[avatar_definition]) ).
fof(f665,plain,
( ! [X1] :
( holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1))
| stoppedIn(n0,filling,plus(n0,X1))
| ~ less(n0,X1) )
| ~ spl11_21 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f667,definition,
( spl11_22
<=> ! [X0] :
( ~ happens(X0,n0)
| ~ initiates(X0,filling,n0) ) ),
introduced(definition,[new_symbols(definition,[spl11_22])],[avatar_definition]) ).
fof(f668,plain,
( ! [X0] :
( ~ initiates(X0,filling,n0)
| ~ happens(X0,n0) )
| ~ spl11_22 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f669,plain,
( spl11_21
| spl11_22 ),
inference(avatar_split_clause,[],[f662,f667,f664]) ).
fof(f674,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| ~ less(n0,n1)
| ~ spl11_21 ),
inference(superposition,[],[f665,f186]) ).
fof(f675,plain,
( holdsAt(waterLevel(n3),n3)
| stoppedIn(n0,filling,n3)
| ~ less(n0,n3)
| ~ spl11_21 ),
inference(superposition,[],[f665,f188]) ).
fof(f676,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| ~ less(n0,n2)
| ~ spl11_21 ),
inference(superposition,[],[f665,f187]) ).
fof(f679,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| ~ spl11_21 ),
inference(forward_subsumption_resolution,[],[f676,f395]) ).
fof(f680,plain,
( holdsAt(waterLevel(n3),n3)
| stoppedIn(n0,filling,n3)
| ~ spl11_9
| ~ spl11_21 ),
inference(forward_subsumption_resolution,[],[f675,f488]) ).
fof(f681,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| ~ spl11_21 ),
inference(forward_subsumption_resolution,[],[f674,f254]) ).
fof(f684,definition,
( spl11_23
<=> stoppedIn(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl11_23])],[avatar_definition]) ).
fof(f686,plain,
( stoppedIn(n0,filling,n2)
| ~ spl11_23 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f688,definition,
( spl11_24
<=> holdsAt(waterLevel(n2),n2) ),
introduced(definition,[new_symbols(definition,[spl11_24])],[avatar_definition]) ).
fof(f690,plain,
( holdsAt(waterLevel(n2),n2)
| ~ spl11_24 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f693,definition,
( spl11_25
<=> stoppedIn(n0,filling,n3) ),
introduced(definition,[new_symbols(definition,[spl11_25])],[avatar_definition]) ).
fof(f695,plain,
( stoppedIn(n0,filling,n3)
| ~ spl11_25 ),
inference(avatar_component_clause,[],[f693]) ).
fof(f697,definition,
( spl11_26
<=> holdsAt(waterLevel(n3),n3) ),
introduced(definition,[new_symbols(definition,[spl11_26])],[avatar_definition]) ).
fof(f699,plain,
( holdsAt(waterLevel(n3),n3)
| ~ spl11_26 ),
inference(avatar_component_clause,[],[f697]) ).
fof(f702,definition,
( spl11_27
<=> stoppedIn(n0,filling,n1) ),
introduced(definition,[new_symbols(definition,[spl11_27])],[avatar_definition]) ).
fof(f704,plain,
( stoppedIn(n0,filling,n1)
| ~ spl11_27 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f706,definition,
( spl11_28
<=> holdsAt(waterLevel(n1),n1) ),
introduced(definition,[new_symbols(definition,[spl11_28])],[avatar_definition]) ).
fof(f708,plain,
( holdsAt(waterLevel(n1),n1)
| ~ spl11_28 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f716,plain,
( ~ happens(tapOn,n0)
| ~ spl11_22 ),
inference(resolution,[],[f668,f233]) ).
fof(f717,plain,
( $false
| ~ spl11_22 ),
inference(forward_subsumption_resolution,[],[f716,f243]) ).
fof(f718,plain,
~ spl11_22,
inference(avatar_contradiction_clause,[],[f717]) ).
fof(f719,plain,
( spl11_27
| spl11_28
| ~ spl11_21 ),
inference(avatar_split_clause,[],[f681,f664,f706,f702]) ).
fof(f721,plain,
( spl11_23
| spl11_24
| ~ spl11_21 ),
inference(avatar_split_clause,[],[f679,f664,f688,f684]) ).
fof(f722,plain,
( spl11_25
| spl11_26
| ~ spl11_9
| ~ spl11_21 ),
inference(avatar_split_clause,[],[f680,f664,f360,f697,f693]) ).
fof(f724,plain,
( n0 = sK3(n0,filling,n1)
| ~ spl11_27 ),
inference(resolution,[],[f704,f392]) ).
fof(f728,plain,
( less(n0,n0)
| ~ stoppedIn(n0,filling,n1)
| ~ spl11_27 ),
inference(superposition,[],[f126,f724]) ).
fof(f730,plain,
( ~ stoppedIn(n0,filling,n1)
| ~ spl11_27 ),
inference(forward_subsumption_resolution,[],[f728,f248]) ).
fof(f731,plain,
( $false
| ~ spl11_27 ),
inference(forward_subsumption_resolution,[],[f730,f704]) ).
fof(f732,plain,
~ spl11_27,
inference(avatar_contradiction_clause,[],[f731]) ).
fof(f734,plain,
( ! [X0] :
( ~ holdsAt(waterLevel(X0),n1)
| n1 = X0 )
| ~ spl11_28 ),
inference(resolution,[],[f708,f176]) ).
fof(f742,plain,
( n1 = sK3(n0,filling,n2)
| n0 = sK3(n0,filling,n2)
| ~ spl11_23 ),
inference(resolution,[],[f686,f446]) ).
fof(f744,definition,
( spl11_32
<=> n0 = sK3(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl11_32])],[avatar_definition]) ).
fof(f746,plain,
( n0 = sK3(n0,filling,n2)
| ~ spl11_32 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f748,definition,
( spl11_33
<=> n1 = sK3(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl11_33])],[avatar_definition]) ).
fof(f750,plain,
( n1 = sK3(n0,filling,n2)
| ~ spl11_33 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f751,plain,
( spl11_32
| spl11_33
| ~ spl11_23 ),
inference(avatar_split_clause,[],[f742,f684,f748,f744]) ).
fof(f765,plain,
( less(n0,n0)
| ~ stoppedIn(n0,filling,n2)
| ~ spl11_32 ),
inference(superposition,[],[f126,f746]) ).
fof(f767,plain,
( ~ stoppedIn(n0,filling,n2)
| ~ spl11_32 ),
inference(forward_subsumption_resolution,[],[f765,f248]) ).
fof(f768,plain,
( $false
| ~ spl11_23
| ~ spl11_32 ),
inference(forward_subsumption_resolution,[],[f767,f686]) ).
fof(f769,plain,
( ~ spl11_23
| ~ spl11_32 ),
inference(avatar_contradiction_clause,[],[f768]) ).
fof(f899,definition,
( spl11_41
<=> holdsAt(filling,n3) ),
introduced(definition,[new_symbols(definition,[spl11_41])],[avatar_definition]) ).
fof(f901,plain,
( holdsAt(filling,n3)
| ~ spl11_41 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f937,definition,
( spl11_44
<=> holdsAt(waterLevel(n3),n1) ),
introduced(definition,[new_symbols(definition,[spl11_44])],[avatar_definition]) ).
fof(f938,plain,
( ~ holdsAt(waterLevel(n3),n1)
| spl11_44 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f939,plain,
( holdsAt(waterLevel(n3),n1)
| ~ spl11_44 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f950,plain,
( n1 = n3
| ~ spl11_28
| ~ spl11_44 ),
inference(resolution,[],[f939,f734]) ).
fof(f957,plain,
( spl11_16
| ~ spl11_28
| ~ spl11_44 ),
inference(avatar_split_clause,[],[f950,f937,f706,f522]) ).
fof(f964,definition,
( spl11_48
<=> n0 = n1 ),
introduced(definition,[new_symbols(definition,[spl11_48])],[avatar_definition]) ).
fof(f965,plain,
( n0 != n1
| spl11_48 ),
inference(avatar_component_clause,[],[f964]) ).
fof(f966,plain,
( n0 = n1
| ~ spl11_48 ),
inference(avatar_component_clause,[],[f964]) ).
fof(f974,plain,
( ! [X0] :
( ~ holdsAt(waterLevel(X0),n2)
| n2 = X0 )
| ~ spl11_24 ),
inference(resolution,[],[f690,f176]) ).
fof(f977,plain,
( n2 = plus(n1,n2)
| ~ spl11_48 ),
inference(superposition,[],[f187,f966]) ).
fof(f990,plain,
( n1 = plus(n1,n1)
| ~ spl11_48 ),
inference(superposition,[],[f265,f966]) ).
fof(f1014,plain,
( n1 = n2
| ~ spl11_48 ),
inference(forward_demodulation,[],[f990,f189]) ).
fof(f1023,plain,
( n3 = n2
| ~ spl11_48 ),
inference(forward_demodulation,[],[f977,f190]) ).
fof(f1026,plain,
( n1 = n3
| ~ spl11_48 ),
inference(forward_demodulation,[],[f1023,f1014]) ).
fof(f1027,plain,
( spl11_16
| ~ spl11_48 ),
inference(avatar_split_clause,[],[f1026,f964,f522]) ).
fof(f1057,plain,
( less(n2,n1)
| ~ spl11_16 ),
inference(superposition,[],[f253,f524]) ).
fof(f1085,plain,
( $false
| ~ spl11_16 ),
inference(forward_subsumption_resolution,[],[f1057,f292]) ).
fof(f1086,plain,
~ spl11_16,
inference(avatar_contradiction_clause,[],[f1085]) ).
fof(f1197,plain,
! [X0,X1] :
( ~ releasedAt(X1,plus(n1,X0))
| releasedAt(X1,X0)
| happens(sK7(X1,X0),X0) ),
inference(superposition,[],[f136,f195]) ).
fof(f1199,plain,
! [X0] :
( happens(sK7(X0,n1),n1)
| releasedAt(X0,n1)
| ~ releasedAt(X0,n2) ),
inference(superposition,[],[f136,f189]) ).
fof(f1221,plain,
! [X0] :
( releasedAt(X0,n1)
| ~ releasedAt(X0,n2)
| holdsAt(waterLevel(n3),n1)
| n0 = n1 ),
inference(resolution,[],[f1199,f169]) ).
fof(f1222,plain,
( ! [X0] :
( releasedAt(X0,n1)
| ~ releasedAt(X0,n2)
| n0 = n1 )
| spl11_44 ),
inference(forward_subsumption_resolution,[],[f1221,f938]) ).
fof(f1225,plain,
( ! [X0] :
( ~ releasedAt(X0,n2)
| releasedAt(X0,n1) )
| spl11_44
| spl11_48 ),
inference(forward_subsumption_resolution,[],[f1222,f965]) ).
fof(f1259,plain,
! [X0,X1] :
( n2 = sK3(X0,X1,n3)
| n1 = sK3(X0,X1,n3)
| ~ stoppedIn(X0,X1,n3)
| n0 = sK3(X0,X1,n3)
| n1 = sK3(X0,X1,n3) ),
inference(resolution,[],[f497,f503]) ).
fof(f1263,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n3)
| n1 = sK3(X0,X1,n3)
| n2 = sK3(X0,X1,n3)
| n0 = sK3(X0,X1,n3) ),
inference(duplicate_literal_removal,[],[f1259]) ).
fof(f1295,plain,
! [X2,X0,X1] :
( holdsAt(waterLevel(n3),sK3(X0,X1,X2))
| ~ stoppedIn(X0,X1,X2)
| n0 = sK3(X0,X1,X2) ),
inference(resolution,[],[f127,f169]) ).
fof(f1322,plain,
! [X0,X1] :
( holdsAt(X1,plus(n1,X0))
| happens(sK4(X1,X0),X0)
| releasedAt(X1,plus(n1,X0))
| ~ holdsAt(X1,X0) ),
inference(superposition,[],[f130,f195]) ).
fof(f1324,plain,
! [X0] :
( happens(sK4(X0,n1),n1)
| holdsAt(X0,n2)
| releasedAt(X0,n2)
| ~ holdsAt(X0,n1) ),
inference(superposition,[],[f130,f189]) ).
fof(f1349,plain,
! [X0] :
( happens(sK4(X0,n2),n2)
| holdsAt(X0,n3)
| releasedAt(X0,n3)
| ~ holdsAt(X0,n2) ),
inference(superposition,[],[f1322,f190]) ).
fof(f1387,plain,
! [X0] :
( holdsAt(X0,n2)
| releasedAt(X0,n2)
| ~ holdsAt(X0,n1)
| holdsAt(waterLevel(n3),n1)
| n0 = n1 ),
inference(resolution,[],[f1324,f169]) ).
fof(f1388,plain,
( ! [X0] :
( holdsAt(X0,n2)
| releasedAt(X0,n2)
| ~ holdsAt(X0,n1)
| n0 = n1 )
| spl11_44 ),
inference(forward_subsumption_resolution,[],[f1387,f938]) ).
fof(f1391,plain,
( ! [X0] :
( ~ holdsAt(X0,n1)
| releasedAt(X0,n2)
| holdsAt(X0,n2) )
| spl11_44
| spl11_48 ),
inference(forward_subsumption_resolution,[],[f1388,f965]) ).
fof(f1392,plain,
( releasedAt(filling,n2)
| holdsAt(filling,n2)
| spl11_44
| spl11_48 ),
inference(resolution,[],[f1391,f657]) ).
fof(f1403,plain,
( holdsAt(filling,n2)
| spl11_13
| spl11_44
| spl11_48 ),
inference(forward_subsumption_resolution,[],[f1392,f455]) ).
fof(f1404,plain,
( spl11_19
| spl11_13
| spl11_44
| spl11_48 ),
inference(avatar_split_clause,[],[f1403,f964,f937,f453,f653]) ).
fof(f1475,plain,
( releasedAt(filling,n1)
| ~ spl11_13
| spl11_44
| spl11_48 ),
inference(resolution,[],[f454,f1225]) ).
fof(f1476,plain,
( $false
| ~ spl11_13
| spl11_44
| spl11_48 ),
inference(forward_subsumption_resolution,[],[f1475,f461]) ).
fof(f1477,plain,
( ~ spl11_13
| spl11_44
| spl11_48 ),
inference(avatar_contradiction_clause,[],[f1476]) ).
fof(f1493,definition,
( spl11_65
<=> n0 = sK3(n0,filling,n3) ),
introduced(definition,[new_symbols(definition,[spl11_65])],[avatar_definition]) ).
fof(f1494,plain,
( n0 != sK3(n0,filling,n3)
| spl11_65 ),
inference(avatar_component_clause,[],[f1493]) ).
fof(f1495,plain,
( n0 = sK3(n0,filling,n3)
| ~ spl11_65 ),
inference(avatar_component_clause,[],[f1493]) ).
fof(f1509,plain,
( less(n0,n0)
| ~ stoppedIn(n0,filling,n3)
| ~ spl11_65 ),
inference(superposition,[],[f126,f1495]) ).
fof(f1515,plain,
( ~ stoppedIn(n0,filling,n3)
| ~ spl11_65 ),
inference(forward_subsumption_resolution,[],[f1509,f248]) ).
fof(f1517,plain,
( $false
| ~ spl11_25
| ~ spl11_65 ),
inference(forward_subsumption_resolution,[],[f1515,f695]) ).
fof(f1518,plain,
( ~ spl11_25
| ~ spl11_65 ),
inference(avatar_contradiction_clause,[],[f1517]) ).
fof(f1585,plain,
! [X0] :
( happens(sK7(X0,n2),n2)
| releasedAt(X0,n2)
| ~ releasedAt(X0,n3) ),
inference(superposition,[],[f1197,f190]) ).
fof(f1632,definition,
( spl11_75
<=> n0 = n2 ),
introduced(definition,[new_symbols(definition,[spl11_75])],[avatar_definition]) ).
fof(f1633,plain,
( n0 != n2
| spl11_75 ),
inference(avatar_component_clause,[],[f1632]) ).
fof(f1634,plain,
( n0 = n2
| ~ spl11_75 ),
inference(avatar_component_clause,[],[f1632]) ).
fof(f1636,definition,
( spl11_76
<=> holdsAt(waterLevel(n3),n2) ),
introduced(definition,[new_symbols(definition,[spl11_76])],[avatar_definition]) ).
fof(f1637,plain,
( ~ holdsAt(waterLevel(n3),n2)
| spl11_76 ),
inference(avatar_component_clause,[],[f1636]) ).
fof(f1638,plain,
( holdsAt(waterLevel(n3),n2)
| ~ spl11_76 ),
inference(avatar_component_clause,[],[f1636]) ).
fof(f1658,plain,
( less(n1,n0)
| ~ spl11_75 ),
inference(superposition,[],[f252,f1634]) ).
fof(f1725,plain,
( $false
| ~ spl11_75 ),
inference(forward_subsumption_resolution,[],[f1658,f199]) ).
fof(f1726,plain,
~ spl11_75,
inference(avatar_contradiction_clause,[],[f1725]) ).
fof(f1733,plain,
( happens(overflow,n2)
| ~ holdsAt(filling,n2)
| ~ spl11_76 ),
inference(resolution,[],[f1638,f244]) ).
fof(f1734,plain,
( n3 = n2
| ~ spl11_24
| ~ spl11_76 ),
inference(resolution,[],[f1638,f974]) ).
fof(f1755,plain,
( happens(overflow,n2)
| ~ spl11_19
| ~ spl11_76 ),
inference(forward_subsumption_resolution,[],[f1733,f655]) ).
fof(f1759,plain,
( happens(overflow,n3)
| ~ spl11_19
| ~ spl11_24
| ~ spl11_76 ),
inference(forward_demodulation,[],[f1755,f1734]) ).
fof(f1760,plain,
( $false
| ~ spl11_19
| ~ spl11_24
| ~ spl11_76 ),
inference(forward_subsumption_resolution,[],[f1759,f341]) ).
fof(f1761,plain,
( ~ spl11_19
| ~ spl11_24
| ~ spl11_76 ),
inference(avatar_contradiction_clause,[],[f1760]) ).
fof(f1831,plain,
! [X0] :
( releasedAt(X0,n2)
| ~ releasedAt(X0,n3)
| holdsAt(waterLevel(n3),n2)
| n0 = n2 ),
inference(resolution,[],[f1585,f169]) ).
fof(f1832,plain,
( ! [X0] :
( releasedAt(X0,n2)
| ~ releasedAt(X0,n3)
| n0 = n2 )
| spl11_76 ),
inference(forward_subsumption_resolution,[],[f1831,f1637]) ).
fof(f1835,plain,
( ! [X0] :
( ~ releasedAt(X0,n3)
| releasedAt(X0,n2) )
| spl11_75
| spl11_76 ),
inference(forward_subsumption_resolution,[],[f1832,f1633]) ).
fof(f1867,plain,
! [X0] :
( holdsAt(X0,n3)
| releasedAt(X0,n3)
| ~ holdsAt(X0,n2)
| holdsAt(waterLevel(n3),n2)
| n0 = n2 ),
inference(resolution,[],[f1349,f169]) ).
fof(f1868,plain,
( ! [X0] :
( holdsAt(X0,n3)
| releasedAt(X0,n3)
| ~ holdsAt(X0,n2)
| n0 = n2 )
| spl11_76 ),
inference(forward_subsumption_resolution,[],[f1867,f1637]) ).
fof(f1871,plain,
( ! [X0] :
( ~ holdsAt(X0,n2)
| releasedAt(X0,n3)
| holdsAt(X0,n3) )
| spl11_75
| spl11_76 ),
inference(forward_subsumption_resolution,[],[f1868,f1633]) ).
fof(f1872,plain,
( releasedAt(filling,n3)
| holdsAt(filling,n3)
| ~ spl11_19
| spl11_75
| spl11_76 ),
inference(resolution,[],[f1871,f655]) ).
fof(f1885,definition,
( spl11_85
<=> releasedAt(filling,n3) ),
introduced(definition,[new_symbols(definition,[spl11_85])],[avatar_definition]) ).
fof(f1887,plain,
( releasedAt(filling,n3)
| ~ spl11_85 ),
inference(avatar_component_clause,[],[f1885]) ).
fof(f1888,plain,
( spl11_41
| spl11_85
| ~ spl11_19
| spl11_75
| spl11_76 ),
inference(avatar_split_clause,[],[f1872,f1636,f1632,f653,f1885,f899]) ).
fof(f1890,plain,
( releasedAt(filling,n2)
| spl11_75
| spl11_76
| ~ spl11_85 ),
inference(resolution,[],[f1887,f1835]) ).
fof(f1891,plain,
( $false
| spl11_13
| spl11_75
| spl11_76
| ~ spl11_85 ),
inference(forward_subsumption_resolution,[],[f1890,f455]) ).
fof(f1892,plain,
( spl11_13
| spl11_75
| spl11_76
| ~ spl11_85 ),
inference(avatar_contradiction_clause,[],[f1891]) ).
fof(f1987,plain,
( n1 = sK3(n0,filling,n3)
| n2 = sK3(n0,filling,n3)
| n0 = sK3(n0,filling,n3)
| ~ spl11_25 ),
inference(resolution,[],[f1263,f695]) ).
fof(f1988,plain,
( n1 = sK3(n0,filling,n3)
| n2 = sK3(n0,filling,n3)
| ~ spl11_25
| spl11_65 ),
inference(forward_subsumption_resolution,[],[f1987,f1494]) ).
fof(f1990,definition,
( spl11_93
<=> n2 = sK3(n0,filling,n3) ),
introduced(definition,[new_symbols(definition,[spl11_93])],[avatar_definition]) ).
fof(f1992,plain,
( n2 = sK3(n0,filling,n3)
| ~ spl11_93 ),
inference(avatar_component_clause,[],[f1990]) ).
fof(f1994,definition,
( spl11_94
<=> n1 = sK3(n0,filling,n3) ),
introduced(definition,[new_symbols(definition,[spl11_94])],[avatar_definition]) ).
fof(f1996,plain,
( n1 = sK3(n0,filling,n3)
| ~ spl11_94 ),
inference(avatar_component_clause,[],[f1994]) ).
fof(f1997,plain,
( spl11_93
| spl11_94
| ~ spl11_25
| spl11_65 ),
inference(avatar_split_clause,[],[f1988,f1493,f693,f1994,f1990]) ).
fof(f2010,plain,
( holdsAt(waterLevel(n3),n2)
| ~ stoppedIn(n0,filling,n3)
| n0 = n2
| ~ spl11_93 ),
inference(superposition,[],[f1295,f1992]) ).
fof(f2011,plain,
( ~ stoppedIn(n0,filling,n3)
| n0 = n2
| spl11_76
| ~ spl11_93 ),
inference(forward_subsumption_resolution,[],[f2010,f1637]) ).
fof(f2014,plain,
( n0 = n2
| ~ spl11_25
| spl11_76
| ~ spl11_93 ),
inference(forward_subsumption_resolution,[],[f2011,f695]) ).
fof(f2017,plain,
( $false
| ~ spl11_25
| spl11_75
| spl11_76
| ~ spl11_93 ),
inference(forward_subsumption_resolution,[],[f2014,f1633]) ).
fof(f2018,plain,
( ~ spl11_25
| spl11_75
| spl11_76
| ~ spl11_93 ),
inference(avatar_contradiction_clause,[],[f2017]) ).
fof(f2035,plain,
( holdsAt(waterLevel(n3),n1)
| ~ stoppedIn(n0,filling,n3)
| n0 = n1
| ~ spl11_94 ),
inference(superposition,[],[f1295,f1996]) ).
fof(f2036,plain,
( ~ stoppedIn(n0,filling,n3)
| n0 = n1
| spl11_44
| ~ spl11_94 ),
inference(forward_subsumption_resolution,[],[f2035,f938]) ).
fof(f2039,plain,
( n0 = n1
| ~ spl11_25
| spl11_44
| ~ spl11_94 ),
inference(forward_subsumption_resolution,[],[f2036,f695]) ).
fof(f2042,plain,
( $false
| ~ spl11_25
| spl11_44
| spl11_48
| ~ spl11_94 ),
inference(forward_subsumption_resolution,[],[f2039,f965]) ).
fof(f2043,plain,
( ~ spl11_25
| spl11_44
| spl11_48
| ~ spl11_94 ),
inference(avatar_contradiction_clause,[],[f2042]) ).
fof(f2048,plain,
( happens(overflow,n3)
| ~ holdsAt(filling,n3)
| ~ spl11_26 ),
inference(resolution,[],[f699,f244]) ).
fof(f2076,plain,
( ~ holdsAt(filling,n3)
| ~ spl11_26 ),
inference(forward_subsumption_resolution,[],[f2048,f341]) ).
fof(f2077,plain,
( $false
| ~ spl11_26
| ~ spl11_41 ),
inference(forward_subsumption_resolution,[],[f2076,f901]) ).
fof(f2078,plain,
( ~ spl11_26
| ~ spl11_41 ),
inference(avatar_contradiction_clause,[],[f2077]) ).
fof(f2093,plain,
( holdsAt(waterLevel(n3),n1)
| ~ stoppedIn(n0,filling,n2)
| n0 = n1
| ~ spl11_33 ),
inference(superposition,[],[f1295,f750]) ).
fof(f2094,plain,
( ~ stoppedIn(n0,filling,n2)
| n0 = n1
| ~ spl11_33
| spl11_44 ),
inference(forward_subsumption_resolution,[],[f2093,f938]) ).
fof(f2097,plain,
( n0 = n1
| ~ spl11_23
| ~ spl11_33
| spl11_44 ),
inference(forward_subsumption_resolution,[],[f2094,f686]) ).
fof(f2098,plain,
( $false
| ~ spl11_23
| ~ spl11_33
| spl11_44
| spl11_48 ),
inference(forward_subsumption_resolution,[],[f2097,f965]) ).
fof(f2099,plain,
( ~ spl11_23
| ~ spl11_33
| spl11_44
| spl11_48 ),
inference(avatar_contradiction_clause,[],[f2098]) ).
cnf(s5,plain,
( spl11_9
| spl11_10 ),
inference(sat_conversion,[],[f367]) ).
cnf(s15,plain,
~ spl11_10,
inference(sat_conversion,[],[f550]) ).
cnf(s26,plain,
( spl11_21
| spl11_22 ),
inference(sat_conversion,[],[f669]) ).
cnf(s31,plain,
~ spl11_22,
inference(sat_conversion,[],[f718]) ).
cnf(s32,plain,
( ~ spl11_21
| spl11_27
| spl11_28 ),
inference(sat_conversion,[],[f719]) ).
cnf(s34,plain,
( ~ spl11_21
| spl11_23
| spl11_24 ),
inference(sat_conversion,[],[f721]) ).
cnf(s35,plain,
( ~ spl11_9
| ~ spl11_21
| spl11_25
| spl11_26 ),
inference(sat_conversion,[],[f722]) ).
cnf(s36,plain,
~ spl11_27,
inference(sat_conversion,[],[f732]) ).
cnf(s38,plain,
( ~ spl11_23
| spl11_32
| spl11_33 ),
inference(sat_conversion,[],[f751]) ).
cnf(s40,plain,
( ~ spl11_23
| ~ spl11_32 ),
inference(sat_conversion,[],[f769]) ).
cnf(s49,plain,
( spl11_16
| ~ spl11_28
| ~ spl11_44 ),
inference(sat_conversion,[],[f957]) ).
cnf(s59,plain,
( spl11_16
| ~ spl11_48 ),
inference(sat_conversion,[],[f1027]) ).
cnf(s67,plain,
~ spl11_16,
inference(sat_conversion,[],[f1086]) ).
cnf(s84,plain,
( spl11_13
| spl11_19
| spl11_44
| spl11_48 ),
inference(sat_conversion,[],[f1404]) ).
cnf(s90,plain,
( ~ spl11_13
| spl11_44
| spl11_48 ),
inference(sat_conversion,[],[f1477]) ).
cnf(s95,plain,
( ~ spl11_25
| ~ spl11_65 ),
inference(sat_conversion,[],[f1518]) ).
cnf(s115,plain,
~ spl11_75,
inference(sat_conversion,[],[f1726]) ).
cnf(s121,plain,
( ~ spl11_19
| ~ spl11_24
| ~ spl11_76 ),
inference(sat_conversion,[],[f1761]) ).
cnf(s128,plain,
( ~ spl11_19
| spl11_41
| spl11_75
| spl11_76
| spl11_85 ),
inference(sat_conversion,[],[f1888]) ).
cnf(s129,plain,
( spl11_13
| spl11_75
| spl11_76
| ~ spl11_85 ),
inference(sat_conversion,[],[f1892]) ).
cnf(s136,plain,
( ~ spl11_25
| spl11_65
| spl11_93
| spl11_94 ),
inference(sat_conversion,[],[f1997]) ).
cnf(s137,plain,
( ~ spl11_25
| spl11_75
| spl11_76
| ~ spl11_93 ),
inference(sat_conversion,[],[f2018]) ).
cnf(s139,plain,
( ~ spl11_25
| spl11_44
| spl11_48
| ~ spl11_94 ),
inference(sat_conversion,[],[f2043]) ).
cnf(s144,plain,
( ~ spl11_26
| ~ spl11_41 ),
inference(sat_conversion,[],[f2078]) ).
cnf(s145,plain,
( ~ spl11_23
| ~ spl11_33
| spl11_44
| spl11_48 ),
inference(sat_conversion,[],[f2099]) ).
cnf(s149,plain,
~ spl11_48,
inference(rat,[],[s59,s67]) ).
cnf(s153,plain,
( ~ spl11_28
| ~ spl11_44 ),
inference(rat,[],[s49,s67]) ).
cnf(s155,plain,
( ~ spl11_21
| spl11_28 ),
inference(rat,[],[s32,s36]) ).
cnf(s158,plain,
spl11_21,
inference(rat,[],[s26,s31]) ).
cnf(s161,plain,
spl11_28,
inference(rat,[],[s155,s158]) ).
cnf(s163,plain,
~ spl11_44,
inference(rat,[],[s153,s161]) ).
cnf(s164,plain,
~ spl11_13,
inference(rat,[],[s90,s149,s163]) ).
cnf(s168,plain,
spl11_19,
inference(rat,[],[s84,s149,s163,s164]) ).
cnf(s174,plain,
spl11_9,
inference(rat,[],[s5,s15]) ).
cnf(s176,plain,
( spl11_85
| spl11_76 ),
inference(rat,[],[s136,s137,s95,s139,s35,s144,s128,s168,s174,s158,s163,s149,s115]) ).
cnf(s177,plain,
spl11_76,
inference(rat,[],[s176,s129,s115,s164]) ).
cnf(s178,plain,
~ spl11_24,
inference(rat,[],[s121,s168,s177]) ).
cnf(s180,plain,
spl11_23,
inference(rat,[],[s34,s158,s178]) ).
cnf(s182,plain,
~ spl11_33,
inference(rat,[],[s145,s149,s163,s180]) ).
cnf(s183,plain,
~ spl11_32,
inference(rat,[],[s40,s180]) ).
cnf(s184,plain,
$false,
inference(rat,[],[s38,s182,s183,s180]) ).
fof(f2100,plain,
$false,
inference(avatar_sat_refutation,[],[s184]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR003+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n008.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 22:05:54 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.55/1.92 % (2708434)Detected formulas, will run a generic FOF schedule.
% 6.55/1.92 % (2708443)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4281990813:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.55/1.92 % (2708443)Refutation not found, incomplete strategy
% 6.55/1.92 % (2708443)------------------------------
% 6.55/1.92 % (2708443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.92 % (2708443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.92 % (2708443)CaDiCaL version: 2.1.3
% 6.55/1.92 % (2708443)Termination reason: Refutation not found, incomplete strategy
% 6.55/1.92 % (2708443)Time elapsed: 0.004 s
% 6.55/1.92 % (2708443)Peak memory usage: 88 MB
% 6.55/1.92 % (2708443)Instructions burned: 11 (million)
% 6.55/1.92 % (2708445)dis-21_1_sil=8000:lcm=predicate:random_seed=190375300: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)
% 6.55/1.92 % (2708442)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1140024598:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.55/1.92 % (2708440)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=835758119:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.55/1.92 % (2708439)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=2580647189:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.55/1.92 % (2708444)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3916450171:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.55/1.92 % (2708441)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=3580173884:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.55/1.92 % (2708442)Refutation not found, incomplete strategy
% 6.55/1.92 % (2708442)------------------------------
% 6.55/1.92 % (2708442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.92 % (2708442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.92 % (2708442)CaDiCaL version: 2.1.3
% 6.55/1.92 % (2708442)Termination reason: Refutation not found, incomplete strategy
% 6.55/1.92 % (2708442)Time elapsed: 0.002 s
% 6.55/1.92 % (2708442)Peak memory usage: 88 MB
% 6.55/1.92 % (2708442)Instructions burned: 1 (million)
% 6.55/1.92 % (2708445)Instruction limit reached!
% 6.55/1.92 % (2708445)------------------------------
% 6.55/1.92 % (2708445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.92 % (2708445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.92 % (2708445)CaDiCaL version: 2.1.3
% 6.55/1.92 % (2708445)Termination reason: Instruction limit
% 6.55/1.92 % (2708445)Termination phase: Saturation
% 6.55/1.92 % (2708445)Time elapsed: 0.076 s
% 6.55/1.92 % (2708445)Peak memory usage: 89 MB
% 6.55/1.92 % (2708445)Instructions burned: 130 (million)
% 6.55/1.92 % (2708444)Instruction limit reached!
% 6.55/1.92 % (2708444)------------------------------
% 6.55/1.92 % (2708444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.92 % (2708444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.92 % (2708444)CaDiCaL version: 2.1.3
% 6.55/1.92 % (2708444)Termination reason: Instruction limit
% 6.55/1.92 % (2708444)Termination phase: Saturation
% 6.55/1.92 % (2708444)Time elapsed: 0.100 s
% 6.55/1.92 % (2708444)Peak memory usage: 90 MB
% 6.55/1.92 % (2708444)Instructions burned: 139 (million)
% 6.55/1.92 % (2708443)------------------------------
% 6.55/1.92 % (2708443)------------------------------
% 6.55/1.92 % (2708453)lrs+10_1_sil=8000:sp=occurrence:random_seed=3830500937:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.55/1.92 % (2708442)------------------------------
% 6.55/1.92 % (2708442)------------------------------
% 6.55/1.92 % (2708455)lrs+1011_1_sil=32000:sp=occurrence:random_seed=425947575:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.55/1.92 % (2708454)lrs+10_1_sil=32000:urr=on:br=off:random_seed=242214652:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.55/1.92 % (2708454)Refutation not found, incomplete strategy
% 6.55/1.92 % (2708454)------------------------------
% 6.55/1.92 % (2708454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.92 % (2708454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.92 % (2708454)CaDiCaL version: 2.1.3
% 6.55/1.92 % (2708454)Termination reason: Refutation not found, incomplete strategy
% 6.55/1.92 % (2708454)Time elapsed: 0.001 s
% 6.55/1.92 % (2708454)Peak memory usage: 88 MB
% 6.55/1.92 % (2708454)Instructions burned: 1 (million)
% 6.55/1.92 % (2708455)Instruction limit reached!
% 6.55/1.92 % (2708455)------------------------------
% 6.55/1.92 % (2708455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.92 % (2708455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.92 % (2708455)CaDiCaL version: 2.1.3
% 6.55/1.92 % (2708455)Termination reason: Instruction limit
% 6.55/1.92 % (2708455)Termination phase: Saturation
% 6.55/1.92 % (2708455)Time elapsed: 0.100 s
% 6.55/1.92 % (2708455)Peak memory usage: 90 MB
% 6.55/1.92 % (2708455)Instructions burned: 325 (million)
% 6.55/1.92 % (2708453)Instruction limit reached!
% 6.55/1.92 % (2708453)------------------------------
% 6.55/1.92 % (2708453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.92 % (2708453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.92 % (2708453)CaDiCaL version: 2.1.3
% 6.55/1.92 % (2708453)Termination reason: Instruction limit
% 6.55/1.92 % (2708453)Termination phase: Saturation
% 6.55/1.92 % (2708453)Time elapsed: 0.173 s
% 6.55/1.92 % (2708453)Peak memory usage: 90 MB
% 6.55/1.92 % (2708453)Instructions burned: 285 (million)
% 6.55/1.92 % (2708459)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=1149485484:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.55/1.92 % (2708460)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=497466204:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 6.55/1.92 % (2708454)------------------------------
% 6.55/1.92 % (2708454)------------------------------
% 6.55/1.92 % (2708460)Instruction limit reached!
% 6.55/1.92 % (2708460)------------------------------
% 6.55/1.92 % (2708460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.92 % (2708460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.92 % (2708460)CaDiCaL version: 2.1.3
% 6.55/1.92 % (2708460)Termination reason: Instruction limit
% 6.55/1.92 % (2708460)Termination phase: Saturation
% 6.55/1.92 % (2708460)Time elapsed: 0.089 s
% 6.55/1.92 % (2708460)Peak memory usage: 89 MB
% 6.55/1.92 % (2708460)Instructions burned: 296 (million)
% 6.55/1.92 % (2708459)Instruction limit reached!
% 6.55/1.92 % (2708459)------------------------------
% 6.55/1.92 % (2708459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.92 % (2708459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.92 % (2708459)CaDiCaL version: 2.1.3
% 6.55/1.92 % (2708459)Termination reason: Instruction limit
% 6.55/1.92 % (2708459)Termination phase: Saturation
% 6.55/1.92 % (2708459)Time elapsed: 0.147 s
% 6.55/1.92 % (2708459)Peak memory usage: 91 MB
% 6.55/1.92 % (2708459)Instructions burned: 250 (million)
% 6.55/1.92 % (2708462)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2886236978:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.55/1.92 % (2708441)Refutation not found, incomplete strategy
% 6.55/1.92 % (2708441)------------------------------
% 6.55/1.92 % (2708441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.92 % (2708441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.92 % (2708441)CaDiCaL version: 2.1.3
% 6.55/1.92 % (2708441)Termination reason: Refutation not found, incomplete strategy
% 6.55/1.92 % (2708441)Time elapsed: 0.606 s
% 6.55/1.92 % (2708441)Peak memory usage: 127 MB
% 6.55/1.92 % (2708441)Instructions burned: 900 (million)
% 6.55/1.92 % (2708464)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2410031438:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.55/1.92 % (2708464)Refutation not found, incomplete strategy
% 6.55/1.92 % (2708464)------------------------------
% 6.55/1.92 % (2708464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.92 % (2708464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.92 % (2708464)CaDiCaL version: 2.1.3
% 6.55/1.92 % (2708464)Termination reason: Refutation not found, incomplete strategy
% 6.55/1.92 % (2708464)Time elapsed: 0.003 s
% 6.55/1.92 % (2708464)Peak memory usage: 88 MB
% 6.55/1.92 % (2708464)Instructions burned: 2 (million)
% 6.55/1.92 % (2708465)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1879653563:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 6.55/1.92 % (2708467)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1397201278:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.55/1.92 % (2708465)Instruction limit reached!
% 6.55/1.92 % (2708465)------------------------------
% 6.55/1.92 % (2708465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.92 % (2708465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.92 % (2708465)CaDiCaL version: 2.1.3
% 6.55/1.92 % (2708465)Termination reason: Instruction limit
% 6.55/1.92 % (2708465)Termination phase: Saturation
% 6.55/1.92 % (2708465)Time elapsed: 0.034 s
% 6.55/1.92 % (2708465)Peak memory usage: 88 MB
% 6.55/1.92 % (2708465)Instructions burned: 131 (million)
% 6.55/1.92 % (2708467)Refutation not found, incomplete strategy
% 6.55/1.92 % (2708467)------------------------------
% 6.55/1.92 % (2708467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.92 % (2708467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.92 % (2708467)CaDiCaL version: 2.1.3
% 6.55/1.92 % (2708467)Termination reason: Refutation not found, incomplete strategy
% 6.55/1.92 % (2708467)Time elapsed: 0.012 s
% 6.55/1.92 % (2708467)Peak memory usage: 88 MB
% 6.55/1.92 % (2708467)Instructions burned: 17 (million)
% 6.55/1.92 % (2708439)First to succeed.
% 6.55/1.92 % (2708439)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2708434"
% 6.55/1.92 % (2708441)------------------------------
% 6.55/1.92 % (2708441)------------------------------
% 6.55/1.92 % (2708471)lrs+10_1_sil=8000:sp=occurrence:random_seed=3684400674:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.55/1.92 % (2708440)Also succeeded, but the first one will report.
% 6.55/1.92 % (2708464)------------------------------
% 6.55/1.92 % (2708464)------------------------------
% 6.55/1.92 % (2708467)------------------------------
% 6.55/1.92 % (2708467)------------------------------
% 6.55/1.92 % (2708472)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2422157771:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 6.55/1.92 % (2708472)Refutation not found, incomplete strategy
% 6.55/1.92 % (2708472)------------------------------
% 6.55/1.92 % (2708472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/1.92 % (2708472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/1.92 % (2708472)CaDiCaL version: 2.1.3
% 6.55/1.92 % (2708472)Termination reason: Refutation not found, incomplete strategy
% 6.55/1.92 % (2708472)Time elapsed: 0.002 s
% 6.55/1.92 % (2708472)Peak memory usage: 88 MB
% 6.55/1.92 % (2708472)Instructions burned: 1 (million)
% 6.55/1.92 % (2708439)Refutation found. Thanks to Tanya!
% 6.55/1.92 % SZS status Theorem for theBenchmark
% 6.55/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 9.35/2.12 % (2708439)------------------------------
% 9.35/2.12 % (2708439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.12 % (2708439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.12 % (2708439)CaDiCaL version: 2.1.3
% 9.35/2.12 % (2708439)Termination reason: Refutation
% 9.35/2.12 % (2708439)Time elapsed: 0.804 s
% 9.35/2.12 % (2708439)Peak memory usage: 131 MB
% 9.35/2.12 % (2708439)Instructions burned: 1162 (million)
% 9.35/2.12 % (2708439)------------------------------
% 9.35/2.12 % (2708439)------------------------------
% 9.35/2.12 % (2708434)Success in time 1.241 s
% 9.35/2.12 % Vampire exiting
%------------------------------------------------------------------------------