%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR001+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 : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:41:55 AM UTC 2026
% Result : Theorem 4.10s 1.12s
% Output : Refutation 5.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 59
% Syntax : Number of formulae : 425 ( 67 unt; 33 def)
% Number of atoms : 1246 ( 216 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 1348 ( 527 ~; 672 |; 98 &)
% ( 43 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 44 ( 42 usr; 31 prp; 0-4 aty)
% Number of functors : 18 ( 18 usr; 11 con; 0-3 aty)
% Number of variables : 343 ( 0 sgn 322 !; 21 ?)
% 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(f42,axiom,
! [X0] :
( less(X0,n4)
<=> less_or_equal(X0,n3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less4) ).
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(waterLevel(n3),n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_4) ).
fof(f56,negated_conjecture,
~ holdsAt(waterLevel(n3),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(waterLevel(n3),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(f98,plain,
! [X2,X0,X1] :
( ( sP0(X2,X0,X1)
| ! [X4] :
( ~ holdsAt(waterLevel(X4),X2)
| overflow != X0
| waterLevel(X4) != X1 ) )
& ( ? [X4] :
( holdsAt(waterLevel(X4),X2)
& X0 = overflow
& waterLevel(X4) = X1 )
| ~ sP0(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f87]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ! [X3] :
( ~ holdsAt(waterLevel(X3),X0)
| overflow != X1
| waterLevel(X3) != X2 ) )
& ( ? [X4] :
( holdsAt(waterLevel(X4),X0)
& overflow = X1
& waterLevel(X4) = X2 )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f98]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ! [X3] :
( ~ holdsAt(waterLevel(X3),X0)
| overflow != X1
| waterLevel(X3) != X2 ) )
& ( ( holdsAt(waterLevel(sK9(X0,X1,X2)),X0)
& overflow = X1
& waterLevel(sK9(X0,X1,X2)) = X2 )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X4,sK9(X0,X1,X2))],[f99]) ).
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(f116,plain,
! [X0] :
( ( less(X0,n4)
| ~ less_or_equal(X0,n3) )
& ( less_or_equal(X0,n3)
| ~ less(X0,n4) ) ),
inference(nnf_transformation,[],[f42]) ).
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(f149,plain,
! [X2,X3,X0,X1] :
( sP0(X0,X1,X2)
| ~ holdsAt(waterLevel(X3),X0)
| overflow != X1
| waterLevel(X3) != X2 ),
inference(cnf_transformation,[],[f100]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ sP0(X2,X0,X1)
| initiates(X0,X1,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f157,plain,
! [X2,X0,X1] :
( initiates(X0,X1,X2)
| tapOn != X0
| filling != X1 ),
inference(cnf_transformation,[],[f102]) ).
fof(f167,plain,
! [X0,X1] :
( ~ happens(X0,X1)
| overflow = X0
| n0 = X1 ),
inference(cnf_transformation,[],[f109]) ).
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(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(f207,plain,
! [X0] :
( ~ less_or_equal(X0,n3)
| less(X0,n4) ),
inference(cnf_transformation,[],[f116]) ).
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(waterLevel(n3),n4),
inference(cnf_transformation,[],[f58]) ).
fof(f230,plain,
! [X2,X3,X0] :
( sP0(X0,overflow,X2)
| ~ holdsAt(waterLevel(X3),X0)
| waterLevel(X3) != X2 ),
inference(equality_resolution,[],[f149]) ).
fof(f231,plain,
! [X3,X0] :
( sP0(X0,overflow,waterLevel(X3))
| ~ holdsAt(waterLevel(X3),X0) ),
inference(equality_resolution,[],[f230]) ).
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(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(f249,definition,
sF11 = waterLevel(n3),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f250,plain,
waterLevel(n3) = sF11,
inference(reorient_equations,[],[f249]) ).
fof(f251,plain,
~ holdsAt(sF11,n4),
inference(definition_folding,[],[f227,f250]) ).
fof(f254,plain,
! [X0,X1] :
( ~ holdsAt(waterLevel(X1),X0)
| ~ holdsAt(sF11,X0)
| n3 = X1 ),
inference(superposition,[],[f176,f250]) ).
fof(f256,plain,
less(n3,n4),
inference(resolution,[],[f247,f207]) ).
fof(f259,plain,
less(n0,n1),
inference(resolution,[],[f201,f247]) ).
fof(f260,plain,
less(n1,n2),
inference(resolution,[],[f203,f247]) ).
fof(f264,plain,
less(n2,n3),
inference(resolution,[],[f205,f247]) ).
fof(f267,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(f278,plain,
n1 = plus(n1,n0),
inference(superposition,[],[f195,f186]) ).
fof(f284,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n1),n0)
| ~ stoppedIn(X0,X1,n1) ),
inference(resolution,[],[f125,f200]) ).
fof(f285,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n2),n1)
| ~ stoppedIn(X0,X1,n2) ),
inference(resolution,[],[f125,f202]) ).
fof(f293,plain,
! [X0] :
( less(n0,X0)
| n0 = X0 ),
inference(resolution,[],[f220,f199]) ).
fof(f294,plain,
! [X0] :
( less_or_equal(X0,n0)
| n1 = X0
| less(n1,X0) ),
inference(resolution,[],[f220,f200]) ).
fof(f300,plain,
! [X0,X1] :
( ~ initiates(X1,X0,n0)
| ~ happens(X1,n0)
| ~ releasedAt(X0,n1) ),
inference(superposition,[],[f141,f186]) ).
fof(f304,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n3),n2)
| ~ stoppedIn(X0,X1,n3) ),
inference(resolution,[],[f204,f125]) ).
fof(f309,definition,
( spl12_1
<=> n0 = n3 ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
fof(f310,plain,
( n0 != n3
| spl12_1 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f311,plain,
( n0 = n3
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f327,plain,
~ less(n2,n1),
inference(resolution,[],[f219,f260]) ).
fof(f368,plain,
( less(n2,n0)
| ~ spl12_1 ),
inference(superposition,[],[f264,f311]) ).
fof(f369,plain,
( $false
| ~ spl12_1 ),
inference(forward_subsumption_resolution,[],[f368,f199]) ).
fof(f370,plain,
~ spl12_1,
inference(avatar_contradiction_clause,[],[f369]) ).
fof(f373,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,[],[f267,f221]) ).
fof(f376,definition,
( spl12_6
<=> ! [X1] :
( ~ less(n0,X1)
| stoppedIn(n0,filling,plus(n0,X1))
| holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl12_6])],[avatar_definition]) ).
fof(f377,plain,
( ! [X1] :
( holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1))
| stoppedIn(n0,filling,plus(n0,X1))
| ~ less(n0,X1) )
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f379,definition,
( spl12_7
<=> ! [X0] :
( ~ happens(X0,n0)
| ~ initiates(X0,filling,n0) ) ),
introduced(definition,[new_symbols(definition,[spl12_7])],[avatar_definition]) ).
fof(f380,plain,
( ! [X0] :
( ~ initiates(X0,filling,n0)
| ~ happens(X0,n0) )
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f381,plain,
( spl12_6
| spl12_7 ),
inference(avatar_split_clause,[],[f373,f379,f376]) ).
fof(f386,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| ~ less(n0,n1)
| ~ spl12_6 ),
inference(superposition,[],[f377,f186]) ).
fof(f387,plain,
( holdsAt(waterLevel(n3),n3)
| stoppedIn(n0,filling,n3)
| ~ less(n0,n3)
| ~ spl12_6 ),
inference(superposition,[],[f377,f188]) ).
fof(f388,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| ~ less(n0,n2)
| ~ spl12_6 ),
inference(superposition,[],[f377,f187]) ).
fof(f392,definition,
( spl12_8
<=> less(n0,n2) ),
introduced(definition,[new_symbols(definition,[spl12_8])],[avatar_definition]) ).
fof(f394,plain,
( ~ less(n0,n2)
| spl12_8 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f396,definition,
( spl12_9
<=> stoppedIn(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_9])],[avatar_definition]) ).
fof(f398,plain,
( stoppedIn(n0,filling,n2)
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f400,definition,
( spl12_10
<=> holdsAt(waterLevel(n2),n2) ),
introduced(definition,[new_symbols(definition,[spl12_10])],[avatar_definition]) ).
fof(f402,plain,
( holdsAt(waterLevel(n2),n2)
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f403,plain,
( ~ spl12_8
| spl12_9
| spl12_10
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f388,f376,f400,f396,f392]) ).
fof(f404,plain,
( holdsAt(sF11,n3)
| stoppedIn(n0,filling,n3)
| ~ less(n0,n3)
| ~ spl12_6 ),
inference(forward_demodulation,[],[f387,f250]) ).
fof(f405,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| ~ spl12_6 ),
inference(forward_subsumption_resolution,[],[f386,f259]) ).
fof(f408,definition,
( spl12_11
<=> less(n0,n3) ),
introduced(definition,[new_symbols(definition,[spl12_11])],[avatar_definition]) ).
fof(f410,plain,
( ~ less(n0,n3)
| spl12_11 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f412,definition,
( spl12_12
<=> stoppedIn(n0,filling,n3) ),
introduced(definition,[new_symbols(definition,[spl12_12])],[avatar_definition]) ).
fof(f414,plain,
( stoppedIn(n0,filling,n3)
| ~ spl12_12 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f416,definition,
( spl12_13
<=> holdsAt(sF11,n3) ),
introduced(definition,[new_symbols(definition,[spl12_13])],[avatar_definition]) ).
fof(f417,plain,
( ~ holdsAt(sF11,n3)
| spl12_13 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f418,plain,
( holdsAt(sF11,n3)
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f419,plain,
( ~ spl12_11
| spl12_12
| spl12_13
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f404,f376,f416,f412,f408]) ).
fof(f421,definition,
( spl12_14
<=> stoppedIn(n0,filling,n1) ),
introduced(definition,[new_symbols(definition,[spl12_14])],[avatar_definition]) ).
fof(f423,plain,
( stoppedIn(n0,filling,n1)
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f425,definition,
( spl12_15
<=> holdsAt(waterLevel(n1),n1) ),
introduced(definition,[new_symbols(definition,[spl12_15])],[avatar_definition]) ).
fof(f427,plain,
( holdsAt(waterLevel(n1),n1)
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f428,plain,
( spl12_14
| spl12_15
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f405,f376,f425,f421]) ).
fof(f435,plain,
( n0 = n3
| spl12_11 ),
inference(resolution,[],[f410,f293]) ).
fof(f436,plain,
( $false
| spl12_1
| spl12_11 ),
inference(forward_subsumption_resolution,[],[f435,f310]) ).
fof(f437,plain,
( spl12_1
| spl12_11 ),
inference(avatar_contradiction_clause,[],[f436]) ).
fof(f441,plain,
( n0 = n2
| spl12_8 ),
inference(resolution,[],[f394,f293]) ).
fof(f447,plain,
( less(n1,n0)
| spl12_8 ),
inference(superposition,[],[f260,f441]) ).
fof(f450,plain,
( $false
| spl12_8 ),
inference(forward_subsumption_resolution,[],[f447,f199]) ).
fof(f451,plain,
spl12_8,
inference(avatar_contradiction_clause,[],[f450]) ).
fof(f465,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n1)
| n0 = sK3(X0,X1,n1)
| less(sK3(X0,X1,n1),n0) ),
inference(resolution,[],[f284,f196]) ).
fof(f466,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n1)
| n0 = sK3(X0,X1,n1) ),
inference(forward_subsumption_resolution,[],[f465,f199]) ).
fof(f467,plain,
( n0 = sK3(n0,filling,n1)
| ~ spl12_14 ),
inference(resolution,[],[f466,f423]) ).
fof(f469,plain,
( less(n0,n0)
| ~ stoppedIn(n0,filling,n1)
| ~ spl12_14 ),
inference(superposition,[],[f126,f467]) ).
fof(f471,plain,
( ~ stoppedIn(n0,filling,n1)
| ~ spl12_14 ),
inference(forward_subsumption_resolution,[],[f469,f248]) ).
fof(f472,plain,
( $false
| ~ spl12_14 ),
inference(forward_subsumption_resolution,[],[f471,f423]) ).
fof(f473,plain,
~ spl12_14,
inference(avatar_contradiction_clause,[],[f472]) ).
fof(f483,plain,
! [X0,X1] :
( less(sK3(X0,X1,n3),n2)
| n2 = sK3(X0,X1,n3)
| ~ stoppedIn(X0,X1,n3) ),
inference(resolution,[],[f304,f196]) ).
fof(f486,plain,
! [X0,X1] :
( initiates(overflow,waterLevel(X0),X1)
| ~ holdsAt(waterLevel(X0),X1) ),
inference(resolution,[],[f231,f154]) ).
fof(f488,plain,
! [X0,X1] :
( holdsAt(waterLevel(X0),plus(X1,n1))
| ~ happens(overflow,X1)
| ~ holdsAt(waterLevel(X0),X1) ),
inference(resolution,[],[f486,f137]) ).
fof(f503,plain,
! [X0] :
( holdsAt(sF11,plus(X0,n1))
| ~ happens(overflow,X0)
| ~ holdsAt(sF11,X0) ),
inference(superposition,[],[f488,f250]) ).
fof(f505,plain,
! [X0,X1] :
( holdsAt(waterLevel(X1),plus(n1,X0))
| ~ happens(overflow,X0)
| ~ holdsAt(waterLevel(X1),X0) ),
inference(superposition,[],[f488,f195]) ).
fof(f520,plain,
! [X0] :
( holdsAt(sF11,plus(n1,X0))
| ~ happens(overflow,X0)
| ~ holdsAt(sF11,X0) ),
inference(superposition,[],[f503,f195]) ).
fof(f523,plain,
( ~ happens(tapOn,n0)
| ~ spl12_7 ),
inference(resolution,[],[f233,f380]) ).
fof(f524,plain,
! [X0] :
( holdsAt(filling,plus(X0,n1))
| ~ happens(tapOn,X0) ),
inference(resolution,[],[f233,f137]) ).
fof(f525,plain,
( ~ happens(tapOn,n0)
| ~ releasedAt(filling,n1) ),
inference(resolution,[],[f233,f300]) ).
fof(f526,plain,
~ releasedAt(filling,n1),
inference(forward_subsumption_resolution,[],[f525,f243]) ).
fof(f527,plain,
( $false
| ~ spl12_7 ),
inference(forward_subsumption_resolution,[],[f523,f243]) ).
fof(f528,plain,
~ spl12_7,
inference(avatar_contradiction_clause,[],[f527]) ).
fof(f533,plain,
( ~ holdsAt(sF11,n1)
| n1 = n3
| ~ spl12_15 ),
inference(resolution,[],[f427,f254]) ).
fof(f544,definition,
( spl12_23
<=> n1 = n3 ),
introduced(definition,[new_symbols(definition,[spl12_23])],[avatar_definition]) ).
fof(f546,plain,
( n1 = n3
| ~ spl12_23 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f548,definition,
( spl12_24
<=> holdsAt(sF11,n1) ),
introduced(definition,[new_symbols(definition,[spl12_24])],[avatar_definition]) ).
fof(f550,plain,
( ~ holdsAt(sF11,n1)
| spl12_24 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f551,plain,
( spl12_23
| ~ spl12_24
| ~ spl12_15 ),
inference(avatar_split_clause,[],[f533,f425,f548,f544]) ).
fof(f624,plain,
! [X0,X1] :
( less(sK3(X0,X1,n2),n1)
| n1 = sK3(X0,X1,n2)
| ~ stoppedIn(X0,X1,n2) ),
inference(resolution,[],[f285,f196]) ).
fof(f651,plain,
! [X0] :
( holdsAt(waterLevel(X0),n3)
| ~ happens(overflow,n2)
| ~ holdsAt(waterLevel(X0),n2) ),
inference(superposition,[],[f505,f190]) ).
fof(f655,definition,
( spl12_29
<=> happens(overflow,n2) ),
introduced(definition,[new_symbols(definition,[spl12_29])],[avatar_definition]) ).
fof(f656,plain,
( happens(overflow,n2)
| ~ spl12_29 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f657,plain,
( ~ happens(overflow,n2)
| spl12_29 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f659,definition,
( spl12_30
<=> ! [X0] :
( holdsAt(waterLevel(X0),n3)
| ~ holdsAt(waterLevel(X0),n2) ) ),
introduced(definition,[new_symbols(definition,[spl12_30])],[avatar_definition]) ).
fof(f660,plain,
( ! [X0] :
( ~ holdsAt(waterLevel(X0),n2)
| holdsAt(waterLevel(X0),n3) )
| ~ spl12_30 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f661,plain,
( ~ spl12_29
| spl12_30 ),
inference(avatar_split_clause,[],[f651,f659,f655]) ).
fof(f663,definition,
( spl12_31
<=> happens(overflow,n3) ),
introduced(definition,[new_symbols(definition,[spl12_31])],[avatar_definition]) ).
fof(f664,plain,
( happens(overflow,n3)
| ~ spl12_31 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f665,plain,
( ~ happens(overflow,n3)
| spl12_31 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f678,definition,
( spl12_33
<=> releasedAt(filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_33])],[avatar_definition]) ).
fof(f679,plain,
( releasedAt(filling,n2)
| ~ spl12_33 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f680,plain,
( ~ releasedAt(filling,n2)
| spl12_33 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f805,plain,
! [X0] :
( n1 = X0
| less(n1,X0)
| n0 = X0
| less(X0,n0) ),
inference(resolution,[],[f294,f196]) ).
fof(f806,plain,
! [X0] :
( less(n1,X0)
| n1 = X0
| n0 = X0 ),
inference(forward_subsumption_resolution,[],[f805,f199]) ).
fof(f808,plain,
! [X0] :
( ~ less(X0,n1)
| n0 = X0
| n1 = X0 ),
inference(resolution,[],[f806,f219]) ).
fof(f867,plain,
! [X0,X1] :
( n1 = sK3(X0,X1,n2)
| ~ stoppedIn(X0,X1,n2)
| n0 = sK3(X0,X1,n2)
| n1 = sK3(X0,X1,n2) ),
inference(resolution,[],[f624,f808]) ).
fof(f871,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n2)
| n1 = sK3(X0,X1,n2)
| n0 = sK3(X0,X1,n2) ),
inference(duplicate_literal_removal,[],[f867]) ).
fof(f898,plain,
( holdsAt(filling,n1)
| ~ happens(tapOn,n0) ),
inference(superposition,[],[f524,f186]) ).
fof(f901,definition,
( spl12_45
<=> holdsAt(filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_45])],[avatar_definition]) ).
fof(f903,plain,
( holdsAt(filling,n2)
| ~ spl12_45 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f905,plain,
holdsAt(filling,n1),
inference(forward_subsumption_resolution,[],[f898,f243]) ).
fof(f913,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n3),n1)
| ~ stoppedIn(X0,X1,n3)
| n2 = sK3(X0,X1,n3) ),
inference(resolution,[],[f483,f202]) ).
fof(f923,plain,
! [X0] :
( ~ holdsAt(sF11,X0)
| happens(overflow,X0)
| ~ holdsAt(filling,X0) ),
inference(superposition,[],[f244,f250]) ).
fof(f955,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,[],[f913,f196]) ).
fof(f977,definition,
( spl12_48
<=> holdsAt(filling,n3) ),
introduced(definition,[new_symbols(definition,[spl12_48])],[avatar_definition]) ).
fof(f978,plain,
( ~ holdsAt(filling,n3)
| spl12_48 ),
inference(avatar_component_clause,[],[f977]) ).
fof(f1132,plain,
! [X0,X1] :
( ~ releasedAt(X1,plus(n1,X0))
| releasedAt(X1,X0)
| happens(sK7(X1,X0),X0) ),
inference(superposition,[],[f136,f195]) ).
fof(f1134,plain,
! [X0] :
( happens(sK7(X0,n1),n1)
| releasedAt(X0,n1)
| ~ releasedAt(X0,n2) ),
inference(superposition,[],[f136,f189]) ).
fof(f1151,plain,
! [X0] :
( releasedAt(X0,n1)
| ~ releasedAt(X0,n2)
| holdsAt(waterLevel(n3),n1)
| n0 = n1 ),
inference(resolution,[],[f1134,f169]) ).
fof(f1152,plain,
! [X0] :
( holdsAt(sF11,n1)
| releasedAt(X0,n1)
| ~ releasedAt(X0,n2)
| n0 = n1 ),
inference(forward_demodulation,[],[f1151,f250]) ).
fof(f1155,definition,
( spl12_59
<=> n0 = n1 ),
introduced(definition,[new_symbols(definition,[spl12_59])],[avatar_definition]) ).
fof(f1156,plain,
( n0 != n1
| spl12_59 ),
inference(avatar_component_clause,[],[f1155]) ).
fof(f1157,plain,
( n0 = n1
| ~ spl12_59 ),
inference(avatar_component_clause,[],[f1155]) ).
fof(f1162,plain,
( ! [X0] :
( releasedAt(X0,n1)
| ~ releasedAt(X0,n2)
| n0 = n1 )
| spl12_24 ),
inference(forward_subsumption_resolution,[],[f1152,f550]) ).
fof(f1165,definition,
( spl12_61
<=> ! [X0] :
( releasedAt(X0,n1)
| ~ releasedAt(X0,n2) ) ),
introduced(definition,[new_symbols(definition,[spl12_61])],[avatar_definition]) ).
fof(f1166,plain,
( ! [X0] :
( ~ releasedAt(X0,n2)
| releasedAt(X0,n1) )
| ~ spl12_61 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f1167,plain,
( spl12_59
| spl12_61
| spl12_24 ),
inference(avatar_split_clause,[],[f1162,f548,f1165,f1155]) ).
fof(f1170,plain,
( n2 = plus(n1,n2)
| ~ spl12_59 ),
inference(superposition,[],[f187,f1157]) ).
fof(f1184,plain,
( n1 = plus(n1,n1)
| ~ spl12_59 ),
inference(superposition,[],[f278,f1157]) ).
fof(f1218,plain,
( n1 = n2
| ~ spl12_59 ),
inference(forward_demodulation,[],[f1184,f189]) ).
fof(f1226,plain,
( n3 = n2
| ~ spl12_59 ),
inference(forward_demodulation,[],[f1170,f190]) ).
fof(f1229,plain,
( n1 = n3
| ~ spl12_59 ),
inference(forward_demodulation,[],[f1226,f1218]) ).
fof(f1230,plain,
( spl12_23
| ~ spl12_59 ),
inference(avatar_split_clause,[],[f1229,f1155,f544]) ).
fof(f1250,plain,
( less(n2,n1)
| ~ spl12_23 ),
inference(superposition,[],[f264,f546]) ).
fof(f1275,plain,
( $false
| ~ spl12_23 ),
inference(forward_subsumption_resolution,[],[f1250,f327]) ).
fof(f1276,plain,
~ spl12_23,
inference(avatar_contradiction_clause,[],[f1275]) ).
fof(f1312,plain,
( holdsAt(sF11,n4)
| ~ happens(overflow,n3)
| ~ holdsAt(sF11,n3) ),
inference(superposition,[],[f520,f191]) ).
fof(f1313,plain,
( holdsAt(sF11,n3)
| ~ happens(overflow,n2)
| ~ holdsAt(sF11,n2) ),
inference(superposition,[],[f520,f190]) ).
fof(f1342,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1)
| holdsAt(waterLevel(n3),X1)
| n0 = X1 ),
inference(resolution,[],[f130,f169]) ).
fof(f1344,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(f1349,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| holdsAt(sF11,X1)
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1)
| n0 = X1 ),
inference(forward_demodulation,[],[f1342,f250]) ).
fof(f1380,plain,
! [X0] :
( happens(sK4(X0,n2),n2)
| holdsAt(X0,n3)
| releasedAt(X0,n3)
| ~ holdsAt(X0,n2) ),
inference(superposition,[],[f1344,f190]) ).
fof(f1413,plain,
! [X0] :
( holdsAt(X0,n2)
| holdsAt(sF11,n1)
| releasedAt(X0,n2)
| ~ holdsAt(X0,n1)
| n0 = n1 ),
inference(superposition,[],[f1349,f189]) ).
fof(f1416,plain,
( ! [X0] :
( holdsAt(X0,n2)
| releasedAt(X0,n2)
| ~ holdsAt(X0,n1)
| n0 = n1 )
| spl12_24 ),
inference(forward_subsumption_resolution,[],[f1413,f550]) ).
fof(f1421,plain,
( ! [X0] :
( ~ holdsAt(X0,n1)
| releasedAt(X0,n2)
| holdsAt(X0,n2) )
| spl12_24
| spl12_59 ),
inference(forward_subsumption_resolution,[],[f1416,f1156]) ).
fof(f1425,plain,
( releasedAt(filling,n2)
| holdsAt(filling,n2)
| spl12_24
| spl12_59 ),
inference(resolution,[],[f1421,f905]) ).
fof(f1436,plain,
( holdsAt(filling,n2)
| spl12_24
| spl12_33
| spl12_59 ),
inference(forward_subsumption_resolution,[],[f1425,f680]) ).
fof(f1437,plain,
( spl12_45
| spl12_24
| spl12_33
| spl12_59 ),
inference(avatar_split_clause,[],[f1436,f1155,f678,f548,f901]) ).
fof(f1486,plain,
( releasedAt(filling,n1)
| ~ spl12_33
| ~ spl12_61 ),
inference(resolution,[],[f679,f1166]) ).
fof(f1487,plain,
( $false
| ~ spl12_33
| ~ spl12_61 ),
inference(forward_subsumption_resolution,[],[f1486,f526]) ).
fof(f1488,plain,
( ~ spl12_33
| ~ spl12_61 ),
inference(avatar_contradiction_clause,[],[f1487]) ).
fof(f1557,plain,
! [X2,X0,X1] :
( ~ stoppedIn(X0,X1,X2)
| overflow = sK2(X0,X1,X2)
| n0 = sK3(X0,X1,X2) ),
inference(resolution,[],[f127,f167]) ).
fof(f1560,plain,
! [X2,X0,X1] :
( ~ stoppedIn(X0,X1,X2)
| holdsAt(waterLevel(n3),sK3(X0,X1,X2))
| n0 = sK3(X0,X1,X2) ),
inference(resolution,[],[f127,f169]) ).
fof(f1561,plain,
! [X2,X0,X1] :
( holdsAt(sF11,sK3(X0,X1,X2))
| ~ stoppedIn(X0,X1,X2)
| n0 = sK3(X0,X1,X2) ),
inference(forward_demodulation,[],[f1560,f250]) ).
fof(f1593,plain,
! [X0] :
( happens(sK7(X0,n2),n2)
| releasedAt(X0,n2)
| ~ releasedAt(X0,n3) ),
inference(superposition,[],[f1132,f190]) ).
fof(f1790,definition,
( spl12_82
<=> n3 = n4 ),
introduced(definition,[new_symbols(definition,[spl12_82])],[avatar_definition]) ).
fof(f1791,plain,
( n3 != n4
| spl12_82 ),
inference(avatar_component_clause,[],[f1790]) ).
fof(f1792,plain,
( n3 = n4
| ~ spl12_82 ),
inference(avatar_component_clause,[],[f1790]) ).
fof(f1800,plain,
( less(n3,n3)
| ~ spl12_82 ),
inference(superposition,[],[f256,f1792]) ).
fof(f1831,plain,
( $false
| ~ spl12_82 ),
inference(forward_subsumption_resolution,[],[f1800,f248]) ).
fof(f1832,plain,
~ spl12_82,
inference(avatar_contradiction_clause,[],[f1831]) ).
fof(f1871,definition,
( spl12_84
<=> n0 = n2 ),
introduced(definition,[new_symbols(definition,[spl12_84])],[avatar_definition]) ).
fof(f1872,plain,
( n0 != n2
| spl12_84 ),
inference(avatar_component_clause,[],[f1871]) ).
fof(f1873,plain,
( n0 = n2
| ~ spl12_84 ),
inference(avatar_component_clause,[],[f1871]) ).
fof(f1882,definition,
( spl12_87
<=> holdsAt(sF11,n2) ),
introduced(definition,[new_symbols(definition,[spl12_87])],[avatar_definition]) ).
fof(f1883,plain,
( ~ holdsAt(sF11,n2)
| spl12_87 ),
inference(avatar_component_clause,[],[f1882]) ).
fof(f1884,plain,
( holdsAt(sF11,n2)
| ~ spl12_87 ),
inference(avatar_component_clause,[],[f1882]) ).
fof(f1911,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,[],[f955,f808]) ).
fof(f1915,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,[],[f1911]) ).
fof(f1949,plain,
( happens(overflow,n2)
| ~ holdsAt(filling,n2)
| ~ spl12_87 ),
inference(resolution,[],[f923,f1884]) ).
fof(f1958,plain,
( ~ holdsAt(filling,n2)
| spl12_29
| ~ spl12_87 ),
inference(forward_subsumption_resolution,[],[f1949,f657]) ).
fof(f1959,plain,
( $false
| spl12_29
| ~ spl12_45
| ~ spl12_87 ),
inference(forward_subsumption_resolution,[],[f1958,f903]) ).
fof(f1960,plain,
( spl12_29
| ~ spl12_45
| ~ spl12_87 ),
inference(avatar_contradiction_clause,[],[f1959]) ).
fof(f1961,plain,
( ~ happens(overflow,n2)
| ~ holdsAt(sF11,n2)
| spl12_13 ),
inference(forward_subsumption_resolution,[],[f1313,f417]) ).
fof(f1963,plain,
( ~ holdsAt(sF11,n2)
| spl12_13
| ~ spl12_29 ),
inference(forward_subsumption_resolution,[],[f1961,f656]) ).
fof(f1969,plain,
( happens(overflow,n3)
| ~ holdsAt(filling,n3)
| ~ spl12_13 ),
inference(resolution,[],[f418,f923]) ).
fof(f1973,plain,
( ~ holdsAt(filling,n3)
| ~ spl12_13
| spl12_31 ),
inference(forward_subsumption_resolution,[],[f1969,f665]) ).
fof(f2010,plain,
( n1 = sK3(n0,filling,n2)
| n0 = sK3(n0,filling,n2)
| ~ spl12_9 ),
inference(resolution,[],[f871,f398]) ).
fof(f2012,definition,
( spl12_95
<=> n0 = sK3(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_95])],[avatar_definition]) ).
fof(f2014,plain,
( n0 = sK3(n0,filling,n2)
| ~ spl12_95 ),
inference(avatar_component_clause,[],[f2012]) ).
fof(f2016,definition,
( spl12_96
<=> n1 = sK3(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_96])],[avatar_definition]) ).
fof(f2018,plain,
( n1 = sK3(n0,filling,n2)
| ~ spl12_96 ),
inference(avatar_component_clause,[],[f2016]) ).
fof(f2019,plain,
( spl12_95
| spl12_96
| ~ spl12_9 ),
inference(avatar_split_clause,[],[f2010,f396,f2016,f2012]) ).
fof(f2022,plain,
( holdsAt(waterLevel(n2),n3)
| ~ spl12_10
| ~ spl12_30 ),
inference(resolution,[],[f402,f660]) ).
fof(f2032,plain,
( ~ holdsAt(sF11,n3)
| n3 = n2
| ~ spl12_10
| ~ spl12_30 ),
inference(resolution,[],[f2022,f254]) ).
fof(f2065,plain,
( n3 = n2
| ~ spl12_10
| ~ spl12_13
| ~ spl12_30 ),
inference(forward_subsumption_resolution,[],[f2032,f418]) ).
fof(f2102,plain,
( less(n0,n0)
| ~ stoppedIn(n0,filling,n2)
| ~ spl12_95 ),
inference(superposition,[],[f126,f2014]) ).
fof(f2111,plain,
( ~ stoppedIn(n0,filling,n2)
| ~ spl12_95 ),
inference(forward_subsumption_resolution,[],[f2102,f248]) ).
fof(f2114,plain,
( $false
| ~ spl12_9
| ~ spl12_95 ),
inference(forward_subsumption_resolution,[],[f2111,f398]) ).
fof(f2115,plain,
( ~ spl12_9
| ~ spl12_95 ),
inference(avatar_contradiction_clause,[],[f2114]) ).
fof(f2127,plain,
( holdsAt(sF11,n1)
| ~ stoppedIn(n0,filling,n2)
| n0 = n1
| ~ spl12_96 ),
inference(superposition,[],[f1561,f2018]) ).
fof(f2130,plain,
( ~ stoppedIn(n0,filling,n2)
| n0 = n1
| spl12_24
| ~ spl12_96 ),
inference(forward_subsumption_resolution,[],[f2127,f550]) ).
fof(f2134,plain,
( n0 = n1
| ~ spl12_9
| spl12_24
| ~ spl12_96 ),
inference(forward_subsumption_resolution,[],[f2130,f398]) ).
fof(f2135,plain,
( $false
| ~ spl12_9
| spl12_24
| spl12_59
| ~ spl12_96 ),
inference(forward_subsumption_resolution,[],[f2134,f1156]) ).
fof(f2136,plain,
( ~ spl12_9
| spl12_24
| spl12_59
| ~ spl12_96 ),
inference(avatar_contradiction_clause,[],[f2135]) ).
fof(f2513,plain,
! [X0] :
( holdsAt(X0,n3)
| releasedAt(X0,n3)
| ~ holdsAt(X0,n2)
| holdsAt(waterLevel(n3),n2)
| n0 = n2 ),
inference(resolution,[],[f1380,f169]) ).
fof(f2514,plain,
( ! [X0] :
( holdsAt(X0,n3)
| releasedAt(X0,n3)
| ~ holdsAt(X0,n2)
| holdsAt(waterLevel(n3),n2) )
| spl12_84 ),
inference(forward_subsumption_resolution,[],[f2513,f1872]) ).
fof(f2517,plain,
( ! [X0] :
( holdsAt(sF11,n2)
| holdsAt(X0,n3)
| releasedAt(X0,n3)
| ~ holdsAt(X0,n2) )
| spl12_84 ),
inference(forward_demodulation,[],[f2514,f250]) ).
fof(f2519,plain,
( ! [X0] :
( ~ holdsAt(X0,n2)
| releasedAt(X0,n3)
| holdsAt(X0,n3) )
| spl12_84
| spl12_87 ),
inference(forward_subsumption_resolution,[],[f2517,f1883]) ).
fof(f2520,plain,
( releasedAt(filling,n3)
| holdsAt(filling,n3)
| ~ spl12_45
| spl12_84
| spl12_87 ),
inference(resolution,[],[f2519,f903]) ).
fof(f2531,plain,
( releasedAt(filling,n3)
| ~ spl12_45
| spl12_48
| spl12_84
| spl12_87 ),
inference(forward_subsumption_resolution,[],[f2520,f978]) ).
fof(f2603,plain,
( overflow = sK2(n0,filling,n3)
| n0 = sK3(n0,filling,n3)
| ~ spl12_12 ),
inference(resolution,[],[f1557,f414]) ).
fof(f2608,definition,
( spl12_114
<=> n0 = sK3(n0,filling,n3) ),
introduced(definition,[new_symbols(definition,[spl12_114])],[avatar_definition]) ).
fof(f2609,plain,
( n0 != sK3(n0,filling,n3)
| spl12_114 ),
inference(avatar_component_clause,[],[f2608]) ).
fof(f2610,plain,
( n0 = sK3(n0,filling,n3)
| ~ spl12_114 ),
inference(avatar_component_clause,[],[f2608]) ).
fof(f2612,definition,
( spl12_115
<=> overflow = sK2(n0,filling,n3) ),
introduced(definition,[new_symbols(definition,[spl12_115])],[avatar_definition]) ).
fof(f2614,plain,
( overflow = sK2(n0,filling,n3)
| ~ spl12_115 ),
inference(avatar_component_clause,[],[f2612]) ).
fof(f2615,plain,
( spl12_114
| spl12_115
| ~ spl12_12 ),
inference(avatar_split_clause,[],[f2603,f412,f2612,f2608]) ).
fof(f2624,plain,
( less(n0,n0)
| ~ stoppedIn(n0,filling,n3)
| ~ spl12_114 ),
inference(superposition,[],[f126,f2610]) ).
fof(f2633,plain,
( ~ stoppedIn(n0,filling,n3)
| ~ spl12_114 ),
inference(forward_subsumption_resolution,[],[f2624,f248]) ).
fof(f2636,plain,
( $false
| ~ spl12_12
| ~ spl12_114 ),
inference(forward_subsumption_resolution,[],[f2633,f414]) ).
fof(f2637,plain,
( ~ spl12_12
| ~ spl12_114 ),
inference(avatar_contradiction_clause,[],[f2636]) ).
fof(f2795,plain,
! [X0] :
( releasedAt(X0,n2)
| ~ releasedAt(X0,n3)
| holdsAt(waterLevel(n3),n2)
| n0 = n2 ),
inference(resolution,[],[f1593,f169]) ).
fof(f2796,plain,
( ! [X0] :
( releasedAt(X0,n2)
| ~ releasedAt(X0,n3)
| holdsAt(waterLevel(n3),n2) )
| spl12_84 ),
inference(forward_subsumption_resolution,[],[f2795,f1872]) ).
fof(f2799,plain,
( ! [X0] :
( holdsAt(sF11,n2)
| releasedAt(X0,n2)
| ~ releasedAt(X0,n3) )
| spl12_84 ),
inference(forward_demodulation,[],[f2796,f250]) ).
fof(f2801,plain,
( ! [X0] :
( ~ releasedAt(X0,n3)
| releasedAt(X0,n2) )
| spl12_84
| spl12_87 ),
inference(forward_subsumption_resolution,[],[f2799,f1883]) ).
fof(f2804,plain,
( releasedAt(filling,n2)
| ~ spl12_45
| spl12_48
| spl12_84
| spl12_87 ),
inference(resolution,[],[f2801,f2531]) ).
fof(f2805,plain,
( $false
| spl12_33
| ~ spl12_45
| spl12_48
| spl12_84
| spl12_87 ),
inference(forward_subsumption_resolution,[],[f2804,f680]) ).
fof(f2806,plain,
( spl12_33
| ~ spl12_45
| spl12_48
| spl12_84
| spl12_87 ),
inference(avatar_contradiction_clause,[],[f2805]) ).
fof(f2807,plain,
( ~ happens(overflow,n3)
| ~ holdsAt(sF11,n3) ),
inference(forward_subsumption_resolution,[],[f1312,f251]) ).
fof(f2813,plain,
( ~ holdsAt(sF11,n3)
| ~ spl12_31 ),
inference(forward_subsumption_resolution,[],[f2807,f664]) ).
fof(f2826,plain,
( $false
| ~ spl12_13
| ~ spl12_31 ),
inference(forward_subsumption_resolution,[],[f2813,f418]) ).
fof(f2827,plain,
( ~ spl12_13
| ~ spl12_31 ),
inference(avatar_contradiction_clause,[],[f2826]) ).
fof(f2830,plain,
( ~ spl12_48
| ~ spl12_13
| spl12_31 ),
inference(avatar_split_clause,[],[f1973,f663,f416,f977]) ).
fof(f2836,plain,
( less(n1,n0)
| ~ spl12_84 ),
inference(superposition,[],[f260,f1873]) ).
fof(f2913,plain,
( $false
| ~ spl12_84 ),
inference(forward_subsumption_resolution,[],[f2836,f199]) ).
fof(f2914,plain,
~ spl12_84,
inference(avatar_contradiction_clause,[],[f2913]) ).
fof(f2946,plain,
( plus(n1,n2) = n4
| ~ spl12_10
| ~ spl12_13
| ~ spl12_30 ),
inference(superposition,[],[f191,f2065]) ).
fof(f3026,plain,
( n3 = n4
| ~ spl12_10
| ~ spl12_13
| ~ spl12_30 ),
inference(forward_demodulation,[],[f2946,f190]) ).
fof(f3027,plain,
( $false
| ~ spl12_10
| ~ spl12_13
| ~ spl12_30
| spl12_82 ),
inference(forward_subsumption_resolution,[],[f3026,f1791]) ).
fof(f3028,plain,
( ~ spl12_10
| ~ spl12_13
| ~ spl12_30
| spl12_82 ),
inference(avatar_contradiction_clause,[],[f3027]) ).
fof(f3029,plain,
( ~ spl12_87
| spl12_13
| ~ spl12_29 ),
inference(avatar_split_clause,[],[f1963,f655,f416,f1882]) ).
fof(f3081,plain,
( happens(overflow,sK3(n0,filling,n3))
| ~ stoppedIn(n0,filling,n3)
| ~ spl12_115 ),
inference(superposition,[],[f127,f2614]) ).
fof(f3083,plain,
( happens(overflow,sK3(n0,filling,n3))
| ~ spl12_12
| ~ spl12_115 ),
inference(forward_subsumption_resolution,[],[f3081,f414]) ).
fof(f3153,plain,
( holdsAt(waterLevel(n3),sK3(n0,filling,n3))
| n0 = sK3(n0,filling,n3)
| ~ spl12_12
| ~ spl12_115 ),
inference(resolution,[],[f3083,f169]) ).
fof(f3154,plain,
( holdsAt(waterLevel(n3),sK3(n0,filling,n3))
| ~ spl12_12
| spl12_114
| ~ spl12_115 ),
inference(forward_subsumption_resolution,[],[f3153,f2609]) ).
fof(f3158,plain,
( holdsAt(sF11,sK3(n0,filling,n3))
| ~ spl12_12
| spl12_114
| ~ spl12_115 ),
inference(forward_demodulation,[],[f3154,f250]) ).
fof(f4148,plain,
( n1 = sK3(n0,filling,n3)
| n2 = sK3(n0,filling,n3)
| n0 = sK3(n0,filling,n3)
| ~ spl12_12 ),
inference(resolution,[],[f1915,f414]) ).
fof(f4149,plain,
( n1 = sK3(n0,filling,n3)
| n2 = sK3(n0,filling,n3)
| ~ spl12_12
| spl12_114 ),
inference(forward_subsumption_resolution,[],[f4148,f2609]) ).
fof(f4151,definition,
( spl12_181
<=> n2 = sK3(n0,filling,n3) ),
introduced(definition,[new_symbols(definition,[spl12_181])],[avatar_definition]) ).
fof(f4153,plain,
( n2 = sK3(n0,filling,n3)
| ~ spl12_181 ),
inference(avatar_component_clause,[],[f4151]) ).
fof(f4155,definition,
( spl12_182
<=> n1 = sK3(n0,filling,n3) ),
introduced(definition,[new_symbols(definition,[spl12_182])],[avatar_definition]) ).
fof(f4157,plain,
( n1 = sK3(n0,filling,n3)
| ~ spl12_182 ),
inference(avatar_component_clause,[],[f4155]) ).
fof(f4158,plain,
( spl12_181
| spl12_182
| ~ spl12_12
| spl12_114 ),
inference(avatar_split_clause,[],[f4149,f2608,f412,f4155,f4151]) ).
fof(f4175,plain,
( holdsAt(sF11,n1)
| ~ stoppedIn(n0,filling,n3)
| n0 = n1
| ~ spl12_182 ),
inference(superposition,[],[f1561,f4157]) ).
fof(f4178,plain,
( ~ stoppedIn(n0,filling,n3)
| n0 = n1
| spl12_24
| ~ spl12_182 ),
inference(forward_subsumption_resolution,[],[f4175,f550]) ).
fof(f4186,plain,
( n0 = n1
| ~ spl12_12
| spl12_24
| ~ spl12_182 ),
inference(forward_subsumption_resolution,[],[f4178,f414]) ).
fof(f4190,plain,
( $false
| ~ spl12_12
| spl12_24
| spl12_59
| ~ spl12_182 ),
inference(forward_subsumption_resolution,[],[f4186,f1156]) ).
fof(f4191,plain,
( ~ spl12_12
| spl12_24
| spl12_59
| ~ spl12_182 ),
inference(avatar_contradiction_clause,[],[f4190]) ).
fof(f4197,plain,
( holdsAt(sF11,n2)
| ~ spl12_12
| spl12_114
| ~ spl12_115
| ~ spl12_181 ),
inference(superposition,[],[f3158,f4153]) ).
fof(f4205,plain,
( happens(sK2(n0,filling,n3),n2)
| ~ stoppedIn(n0,filling,n3)
| ~ spl12_181 ),
inference(superposition,[],[f127,f4153]) ).
fof(f4215,plain,
( happens(sK2(n0,filling,n3),n2)
| ~ spl12_12
| ~ spl12_181 ),
inference(forward_subsumption_resolution,[],[f4205,f414]) ).
fof(f4219,plain,
( $false
| ~ spl12_12
| spl12_87
| spl12_114
| ~ spl12_115
| ~ spl12_181 ),
inference(forward_subsumption_resolution,[],[f4197,f1883]) ).
fof(f4220,plain,
( ~ spl12_12
| spl12_87
| spl12_114
| ~ spl12_115
| ~ spl12_181 ),
inference(avatar_contradiction_clause,[],[f4219]) ).
fof(f4223,plain,
( happens(overflow,n2)
| ~ spl12_12
| ~ spl12_115
| ~ spl12_181 ),
inference(forward_demodulation,[],[f4215,f2614]) ).
fof(f4228,plain,
( $false
| ~ spl12_12
| spl12_29
| ~ spl12_115
| ~ spl12_181 ),
inference(forward_subsumption_resolution,[],[f4223,f657]) ).
fof(f4229,plain,
( ~ spl12_12
| spl12_29
| ~ spl12_115
| ~ spl12_181 ),
inference(avatar_contradiction_clause,[],[f4228]) ).
cnf(s4,plain,
~ spl12_1,
inference(sat_conversion,[],[f370]) ).
cnf(s5,plain,
( spl12_6
| spl12_7 ),
inference(sat_conversion,[],[f381]) ).
cnf(s6,plain,
( ~ spl12_6
| ~ spl12_8
| spl12_9
| spl12_10 ),
inference(sat_conversion,[],[f403]) ).
cnf(s7,plain,
( ~ spl12_6
| ~ spl12_11
| spl12_12
| spl12_13 ),
inference(sat_conversion,[],[f419]) ).
cnf(s8,plain,
( ~ spl12_6
| spl12_14
| spl12_15 ),
inference(sat_conversion,[],[f428]) ).
cnf(s10,plain,
( spl12_1
| spl12_11 ),
inference(sat_conversion,[],[f437]) ).
cnf(s11,plain,
spl12_8,
inference(sat_conversion,[],[f451]) ).
cnf(s13,plain,
~ spl12_14,
inference(sat_conversion,[],[f473]) ).
cnf(s16,plain,
~ spl12_7,
inference(sat_conversion,[],[f528]) ).
cnf(s18,plain,
( ~ spl12_15
| spl12_23
| ~ spl12_24 ),
inference(sat_conversion,[],[f551]) ).
cnf(s22,plain,
( ~ spl12_29
| spl12_30 ),
inference(sat_conversion,[],[f661]) ).
cnf(s49,plain,
( spl12_24
| spl12_59
| spl12_61 ),
inference(sat_conversion,[],[f1167]) ).
cnf(s56,plain,
( spl12_23
| ~ spl12_59 ),
inference(sat_conversion,[],[f1230]) ).
cnf(s61,plain,
~ spl12_23,
inference(sat_conversion,[],[f1276]) ).
cnf(s63,plain,
( spl12_24
| spl12_33
| spl12_45
| spl12_59 ),
inference(sat_conversion,[],[f1437]) ).
cnf(s70,plain,
( ~ spl12_33
| ~ spl12_61 ),
inference(sat_conversion,[],[f1488]) ).
cnf(s81,plain,
~ spl12_82,
inference(sat_conversion,[],[f1832]) ).
cnf(s90,plain,
( spl12_29
| ~ spl12_45
| ~ spl12_87 ),
inference(sat_conversion,[],[f1960]) ).
cnf(s101,plain,
( ~ spl12_9
| spl12_95
| spl12_96 ),
inference(sat_conversion,[],[f2019]) ).
cnf(s111,plain,
( ~ spl12_9
| ~ spl12_95 ),
inference(sat_conversion,[],[f2115]) ).
cnf(s112,plain,
( ~ spl12_9
| spl12_24
| spl12_59
| ~ spl12_96 ),
inference(sat_conversion,[],[f2136]) ).
cnf(s137,plain,
( ~ spl12_12
| spl12_114
| spl12_115 ),
inference(sat_conversion,[],[f2615]) ).
cnf(s138,plain,
( ~ spl12_12
| ~ spl12_114 ),
inference(sat_conversion,[],[f2637]) ).
cnf(s139,plain,
( spl12_33
| ~ spl12_45
| spl12_48
| spl12_84
| spl12_87 ),
inference(sat_conversion,[],[f2806]) ).
cnf(s143,plain,
( ~ spl12_13
| ~ spl12_31 ),
inference(sat_conversion,[],[f2827]) ).
cnf(s145,plain,
( ~ spl12_13
| spl12_31
| ~ spl12_48 ),
inference(sat_conversion,[],[f2830]) ).
cnf(s154,plain,
~ spl12_84,
inference(sat_conversion,[],[f2914]) ).
cnf(s165,plain,
( ~ spl12_10
| ~ spl12_13
| ~ spl12_30
| spl12_82 ),
inference(sat_conversion,[],[f3028]) ).
cnf(s166,plain,
( spl12_13
| ~ spl12_29
| ~ spl12_87 ),
inference(sat_conversion,[],[f3029]) ).
cnf(s214,plain,
( ~ spl12_12
| spl12_114
| spl12_181
| spl12_182 ),
inference(sat_conversion,[],[f4158]) ).
cnf(s217,plain,
( ~ spl12_12
| spl12_24
| spl12_59
| ~ spl12_182 ),
inference(sat_conversion,[],[f4191]) ).
cnf(s221,plain,
( ~ spl12_12
| spl12_87
| spl12_114
| ~ spl12_115
| ~ spl12_181 ),
inference(sat_conversion,[],[f4220]) ).
cnf(s223,plain,
( ~ spl12_12
| spl12_29
| ~ spl12_115
| ~ spl12_181 ),
inference(sat_conversion,[],[f4229]) ).
cnf(s230,plain,
( spl12_33
| ~ spl12_45
| spl12_48
| spl12_87 ),
inference(rat,[],[s139,s154]) ).
cnf(s237,plain,
~ spl12_59,
inference(rat,[],[s56,s61]) ).
cnf(s238,plain,
( spl12_24
| spl12_61 ),
inference(rat,[],[s49,s237]) ).
cnf(s244,plain,
( ~ spl12_15
| ~ spl12_24 ),
inference(rat,[],[s18,s61]) ).
cnf(s246,plain,
( ~ spl12_6
| spl12_15 ),
inference(rat,[],[s8,s13]) ).
cnf(s247,plain,
( ~ spl12_6
| spl12_9
| spl12_10 ),
inference(rat,[],[s6,s11]) ).
cnf(s248,plain,
spl12_6,
inference(rat,[],[s5,s16]) ).
cnf(s250,plain,
spl12_15,
inference(rat,[],[s246,s248]) ).
cnf(s252,plain,
~ spl12_24,
inference(rat,[],[s244,s250]) ).
cnf(s253,plain,
spl12_61,
inference(rat,[],[s238,s252]) ).
cnf(s254,plain,
~ spl12_33,
inference(rat,[],[s70,s253]) ).
cnf(s255,plain,
spl12_45,
inference(rat,[],[s63,s237,s252,s254]) ).
cnf(s257,plain,
spl12_11,
inference(rat,[],[s10,s4]) ).
cnf(s265,plain,
( ~ spl12_13
| ~ spl12_10 ),
inference(rat,[],[s90,s230,s22,s145,s165,s143,s255,s254,s81]) ).
cnf(s266,plain,
spl12_13,
inference(rat,[],[s166,s223,s221,s137,s214,s138,s217,s7,s237,s252,s248,s257]) ).
cnf(s268,plain,
~ spl12_10,
inference(rat,[],[s265,s266]) ).
cnf(s270,plain,
spl12_9,
inference(rat,[],[s247,s248,s268]) ).
cnf(s277,plain,
~ spl12_96,
inference(rat,[],[s112,s252,s237,s270]) ).
cnf(s278,plain,
~ spl12_95,
inference(rat,[],[s111,s270]) ).
cnf(s279,plain,
$false,
inference(rat,[],[s101,s277,s278,s270]) ).
fof(f4232,plain,
$false,
inference(avatar_sat_refutation,[],[s279]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR001+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 22:04:34 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.12 Running first-order theorem proving
% 0.08/0.12 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
% 4.10/1.12 % (3838775)Detected formulas, will run a generic FOF schedule.
% 4.10/1.12 % (3838785)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2274927953:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.10/1.12 % (3838783)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3187121468:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.10/1.12 % (3838780)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=1729658686:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.10/1.12 % (3838782)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=3953466041:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.10/1.12 % (3838784)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1624973336:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.10/1.12 % (3838781)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=3802138546:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.10/1.12 % (3838783)Refutation not found, incomplete strategy
% 4.10/1.12 % (3838783)------------------------------
% 4.10/1.12 % (3838783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.12 % (3838783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.12 % (3838783)CaDiCaL version: 2.1.3
% 4.10/1.12 % (3838783)Termination reason: Refutation not found, incomplete strategy
% 4.10/1.12 % (3838783)Time elapsed: 0.001 s
% 4.10/1.12 % (3838783)Peak memory usage: 88 MB
% 4.10/1.12 % (3838783)Instructions burned: 1 (million)
% 4.10/1.12 % (3838784)Refutation not found, incomplete strategy
% 4.10/1.12 % (3838784)------------------------------
% 4.10/1.12 % (3838784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.12 % (3838784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.12 % (3838784)CaDiCaL version: 2.1.3
% 4.10/1.12 % (3838784)Termination reason: Refutation not found, incomplete strategy
% 4.10/1.12 % (3838784)Time elapsed: 0.004 s
% 4.10/1.12 % (3838784)Peak memory usage: 88 MB
% 4.10/1.12 % (3838784)Instructions burned: 11 (million)
% 4.10/1.12 % (3838786)dis-21_1_sil=8000:lcm=predicate:random_seed=332014637: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)
% 4.10/1.12 % (3838786)Instruction limit reached!
% 4.10/1.12 % (3838786)------------------------------
% 4.10/1.12 % (3838786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.12 % (3838786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.12 % (3838786)CaDiCaL version: 2.1.3
% 4.10/1.12 % (3838786)Termination reason: Instruction limit
% 4.10/1.12 % (3838786)Termination phase: Saturation
% 4.10/1.12 % (3838786)Time elapsed: 0.040 s
% 4.10/1.12 % (3838786)Peak memory usage: 89 MB
% 4.10/1.12 % (3838786)Instructions burned: 131 (million)
% 4.10/1.12 % (3838785)Instruction limit reached!
% 4.10/1.12 % (3838785)------------------------------
% 4.10/1.12 % (3838785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.12 % (3838785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.12 % (3838785)CaDiCaL version: 2.1.3
% 4.10/1.12 % (3838785)Termination reason: Instruction limit
% 4.10/1.12 % (3838785)Termination phase: Saturation
% 4.10/1.12 % (3838785)Time elapsed: 0.054 s
% 4.10/1.12 % (3838785)Peak memory usage: 90 MB
% 4.10/1.12 % (3838785)Instructions burned: 140 (million)
% 4.10/1.12 % (3838794)lrs+10_1_sil=8000:sp=occurrence:random_seed=1609430454:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.10/1.12 % (3838795)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2335517374:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 4.10/1.12 % (3838795)Refutation not found, incomplete strategy
% 4.10/1.12 % (3838795)------------------------------
% 4.10/1.12 % (3838795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.12 % (3838795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.12 % (3838795)CaDiCaL version: 2.1.3
% 4.10/1.12 % (3838795)Termination reason: Refutation not found, incomplete strategy
% 4.10/1.12 % (3838795)Time elapsed: 0.001 s
% 4.10/1.12 % (3838795)Peak memory usage: 88 MB
% 4.10/1.12 % (3838795)Instructions burned: 1 (million)
% 4.10/1.12 % (3838783)------------------------------
% 4.10/1.12 % (3838783)------------------------------
% 4.10/1.12 % (3838784)------------------------------
% 4.10/1.12 % (3838784)------------------------------
% 4.10/1.12 % (3838794)Instruction limit reached!
% 4.10/1.12 % (3838794)------------------------------
% 4.10/1.12 % (3838794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.12 % (3838794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.12 % (3838794)CaDiCaL version: 2.1.3
% 4.10/1.12 % (3838794)Termination reason: Instruction limit
% 4.10/1.12 % (3838794)Termination phase: Saturation
% 4.10/1.12 % (3838794)Time elapsed: 0.095 s
% 4.10/1.12 % (3838794)Peak memory usage: 90 MB
% 4.10/1.12 % (3838794)Instructions burned: 287 (million)
% 4.10/1.12 % (3838798)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2779265374:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.10/1.12 % (3838799)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=1894112361:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.10/1.12 % (3838795)------------------------------
% 4.10/1.12 % (3838795)------------------------------
% 4.10/1.12 % (3838800)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1580105580:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.10/1.12 % (3838782)Refutation not found, incomplete strategy
% 4.10/1.12 % (3838782)------------------------------
% 4.10/1.12 % (3838782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.12 % (3838782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.12 % (3838782)CaDiCaL version: 2.1.3
% 4.10/1.12 % (3838782)Termination reason: Refutation not found, incomplete strategy
% 4.10/1.12 % (3838782)Time elapsed: 0.341 s
% 4.10/1.12 % (3838782)Peak memory usage: 127 MB
% 4.10/1.12 % (3838782)Instructions burned: 900 (million)
% 4.10/1.12 % (3838799)Instruction limit reached!
% 4.10/1.12 % (3838799)------------------------------
% 4.10/1.12 % (3838799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.12 % (3838799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.12 % (3838799)CaDiCaL version: 2.1.3
% 4.10/1.12 % (3838799)Termination reason: Instruction limit
% 4.10/1.12 % (3838799)Termination phase: Saturation
% 4.10/1.12 % (3838799)Time elapsed: 0.080 s
% 4.10/1.12 % (3838799)Peak memory usage: 91 MB
% 4.10/1.12 % (3838799)Instructions burned: 248 (million)
% 4.10/1.12 % (3838798)Instruction limit reached!
% 4.10/1.12 % (3838798)------------------------------
% 4.10/1.12 % (3838798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.12 % (3838798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.12 % (3838798)CaDiCaL version: 2.1.3
% 4.10/1.12 % (3838798)Termination reason: Instruction limit
% 4.10/1.12 % (3838798)Termination phase: Saturation
% 4.10/1.12 % (3838798)Time elapsed: 0.105 s
% 4.10/1.12 % (3838798)Peak memory usage: 91 MB
% 4.10/1.12 % (3838798)Instructions burned: 327 (million)
% 4.10/1.12 % (3838803)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=482073770:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 4.10/1.12 % (3838800)Instruction limit reached!
% 4.10/1.12 % (3838800)------------------------------
% 4.10/1.12 % (3838800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.12 % (3838800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.12 % (3838800)CaDiCaL version: 2.1.3
% 4.10/1.12 % (3838800)Termination reason: Instruction limit
% 4.10/1.12 % (3838800)Termination phase: Saturation
% 4.10/1.12 % (3838800)Time elapsed: 0.093 s
% 4.10/1.12 % (3838800)Peak memory usage: 89 MB
% 4.10/1.12 % (3838800)Instructions burned: 297 (million)
% 4.10/1.12 % (3838805)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2250531592:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 4.10/1.12 % (3838805)Refutation not found, incomplete strategy
% 4.10/1.12 % (3838805)------------------------------
% 4.10/1.12 % (3838805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.12 % (3838805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.12 % (3838805)CaDiCaL version: 2.1.3
% 4.10/1.12 % (3838805)Termination reason: Refutation not found, incomplete strategy
% 4.10/1.12 % (3838805)Time elapsed: 0.001 s
% 4.10/1.12 % (3838805)Peak memory usage: 88 MB
% 4.10/1.12 % (3838805)Instructions burned: 2 (million)
% 4.10/1.12 % (3838806)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1898470560:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 4.10/1.12 % (3838782)------------------------------
% 4.10/1.12 % (3838782)------------------------------
% 4.10/1.12 % (3838806)Instruction limit reached!
% 4.10/1.12 % (3838806)------------------------------
% 4.10/1.12 % (3838806)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.12 % (3838806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.12 % (3838806)CaDiCaL version: 2.1.3
% 4.10/1.12 % (3838806)Termination reason: Instruction limit
% 4.10/1.12 % (3838806)Termination phase: Saturation
% 4.10/1.12 % (3838806)Time elapsed: 0.034 s
% 4.10/1.12 % (3838806)Peak memory usage: 89 MB
% 4.10/1.12 % (3838806)Instructions burned: 131 (million)
% 4.10/1.12 % (3838808)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4112867868:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 4.10/1.12 % (3838808)Refutation not found, incomplete strategy
% 4.10/1.12 % (3838808)------------------------------
% 4.10/1.12 % (3838808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.12 % (3838808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.12 % (3838808)CaDiCaL version: 2.1.3
% 4.10/1.12 % (3838808)Termination reason: Refutation not found, incomplete strategy
% 4.10/1.12 % (3838808)Time elapsed: 0.007 s
% 4.10/1.12 % (3838808)Peak memory usage: 89 MB
% 4.10/1.12 % (3838808)Instructions burned: 20 (million)
% 4.10/1.12 % (3838780)First to succeed.
% 4.10/1.12 % (3838780)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3838775"
% 4.10/1.12 % (3838781)Also succeeded, but the first one will report.
% 4.10/1.12 % (3838805)------------------------------
% 4.10/1.12 % (3838805)------------------------------
% 4.10/1.12 % (3838811)lrs+10_1_sil=8000:sp=occurrence:random_seed=3326830976:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 4.10/1.12 % (3838812)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2314146636:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 4.10/1.12 % (3838812)Refutation not found, incomplete strategy
% 4.10/1.12 % (3838812)------------------------------
% 4.10/1.12 % (3838812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.12 % (3838812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.12 % (3838812)CaDiCaL version: 2.1.3
% 4.10/1.12 % (3838812)Termination reason: Refutation not found, incomplete strategy
% 4.10/1.12 % (3838812)Time elapsed: 0.001 s
% 4.10/1.12 % (3838812)Peak memory usage: 88 MB
% 4.10/1.12 % (3838812)Instructions burned: 1 (million)
% 4.10/1.12 % (3838808)------------------------------
% 4.10/1.12 % (3838808)------------------------------
% 4.10/1.12 % (3838814)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4115825158:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 4.10/1.12 % (3838780)Refutation found. Thanks to Tanya!
% 4.10/1.12 % SZS status Theorem for theBenchmark
% 4.10/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 5.90/1.22 % (3838780)------------------------------
% 5.90/1.22 % (3838780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.90/1.22 % (3838780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.90/1.22 % (3838780)CaDiCaL version: 2.1.3
% 5.90/1.22 % (3838780)Termination reason: Refutation
% 5.90/1.22 % (3838780)Time elapsed: 0.538 s
% 5.90/1.22 % (3838780)Peak memory usage: 133 MB
% 5.90/1.22 % (3838780)Instructions burned: 1363 (million)
% 5.90/1.22 % (3838780)------------------------------
% 5.90/1.22 % (3838780)------------------------------
% 5.90/1.22 % (3838775)Success in time 0.81 s
% 5.90/1.22 % Vampire exiting
%------------------------------------------------------------------------------