%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR002+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 6.57s 1.90s
% Output : Refutation 9.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 54
% Syntax : Number of formulae : 357 ( 65 unt; 28 def)
% Number of atoms : 1013 ( 202 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 1083 ( 427 ~; 511 |; 98 &)
% ( 39 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 40 ( 38 usr; 27 prp; 0-4 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-3 aty)
% Number of variables : 314 ( 0 sgn 295 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( stoppedIn(X0,X1,X2)
<=> ? [X3,X4] :
( happens(X3,X4)
& less(X0,X4)
& less(X4,X2)
& terminates(X3,X1,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',stoppedin_defn) ).
fof(f3,axiom,
! [X0,X1,X2,X3,X4] :
( ( happens(X0,X1)
& initiates(X0,X2,X1)
& less(n0,X4)
& trajectory(X2,X1,X3,X4)
& ~ stoppedIn(X1,X2,plus(X1,X4)) )
=> holdsAt(X3,plus(X1,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',change_holding) ).
fof(f6,axiom,
! [X0,X1] :
( ( ~ holdsAt(X0,X1)
& ~ releasedAt(X0,plus(X1,n1))
& ~ ? [X2] :
( happens(X2,X1)
& initiates(X2,X0,X1) ) )
=> ~ holdsAt(X0,plus(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',keep_not_holding) ).
fof(f8,axiom,
! [X0,X1] :
( ( ~ releasedAt(X0,X1)
& ~ ? [X2] :
( happens(X2,X1)
& releases(X2,X0,X1) ) )
=> ~ releasedAt(X0,plus(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',keep_not_released) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( happens(X0,X1)
& terminates(X0,X2,X1) )
=> ~ holdsAt(X2,plus(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_terminates_not_holds) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( happens(X0,X1)
& ( initiates(X0,X2,X1)
| terminates(X0,X2,X1) ) )
=> ~ releasedAt(X2,plus(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_not_released) ).
fof(f13,axiom,
! [X0,X1,X2] :
( initiates(X0,X1,X2)
<=> ( ( X0 = tapOn
& X1 = filling )
| ( X0 = overflow
& X1 = spilling )
| ? [X3] :
( holdsAt(waterLevel(X3),X2)
& X0 = tapOff
& X1 = waterLevel(X3) )
| ? [X3] :
( holdsAt(waterLevel(X3),X2)
& X0 = overflow
& X1 = waterLevel(X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initiates_all_defn) ).
fof(f14,axiom,
! [X0,X1,X2] :
( terminates(X0,X1,X2)
<=> ( ( X0 = tapOff
& X1 = filling )
| ( X0 = overflow
& X1 = filling ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',terminates_all_defn) ).
fof(f16,axiom,
! [X0,X1] :
( happens(X0,X1)
<=> ( ( X0 = tapOn
& X1 = n0 )
| ( holdsAt(waterLevel(n3),X1)
& holdsAt(filling,X1)
& X0 = overflow ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',happens_all_defn) ).
fof(f17,axiom,
! [X0,X1,X2,X3] :
( ( holdsAt(waterLevel(X0),X1)
& X2 = plus(X0,X3) )
=> trajectory(filling,X1,waterLevel(X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',change_of_waterLevel) ).
fof(f18,axiom,
! [X0,X1,X2] :
( ( holdsAt(waterLevel(X1),X0)
& holdsAt(waterLevel(X2),X0) )
=> X1 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',same_waterLevel) ).
fof(f27,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_1) ).
fof(f28,axiom,
plus(n0,n2) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_2) ).
fof(f29,axiom,
plus(n0,n3) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_3) ).
fof(f30,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_1) ).
fof(f31,axiom,
plus(n1,n2) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_2) ).
fof(f32,axiom,
plus(n1,n3) = n4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_3) ).
fof(f36,axiom,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_plus) ).
fof(f37,axiom,
! [X0,X1] :
( less_or_equal(X0,X1)
<=> ( less(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal) ).
fof(f38,axiom,
~ ? [X0] : less(X0,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less0) ).
fof(f39,axiom,
! [X0] :
( less(X0,n1)
<=> less_or_equal(X0,n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less1) ).
fof(f40,axiom,
! [X0] :
( less(X0,n2)
<=> less_or_equal(X0,n1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less2) ).
fof(f41,axiom,
! [X0] :
( less(X0,n3)
<=> less_or_equal(X0,n2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less3) ).
fof(f48,axiom,
! [X0,X1] :
( less(X0,X1)
<=> ( ~ less(X1,X0)
& X1 != X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).
fof(f49,axiom,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',waterLevel_0) ).
fof(f55,conjecture,
~ holdsAt(filling,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_filling_4) ).
fof(f56,negated_conjecture,
~ ~ holdsAt(filling,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(filling,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(f68,plain,
! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| holdsAt(X0,X1)
| releasedAt(X0,plus(X1,n1))
| ? [X2] :
( happens(X2,X1)
& initiates(X2,X0,X1) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f69,plain,
! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| holdsAt(X0,X1)
| releasedAt(X0,plus(X1,n1))
| ? [X2] :
( happens(X2,X1)
& initiates(X2,X0,X1) ) ),
inference(flattening,[],[f68]) ).
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(f76,plain,
! [X0,X1,X2] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ terminates(X0,X2,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ terminates(X0,X2,X1) ),
inference(flattening,[],[f76]) ).
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(f92,plain,
! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| holdsAt(X0,X1)
| releasedAt(X0,plus(X1,n1))
| ( happens(sK5(X0,X1),X1)
& initiates(sK5(X0,X1),X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f69]) ).
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(f103,plain,
! [X0,X1,X2] :
( ( terminates(X0,X1,X2)
| ( ( tapOff != X0
| filling != X1 )
& ( overflow != X0
| filling != X1 ) ) )
& ( ( X0 = tapOff
& X1 = filling )
| ( X0 = overflow
& X1 = filling )
| ~ terminates(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ( terminates(X0,X1,X2)
| ( ( tapOff != X0
| filling != X1 )
& ( overflow != X0
| filling != X1 ) ) )
& ( ( X0 = tapOff
& X1 = filling )
| ( X0 = overflow
& X1 = filling )
| ~ terminates(X0,X1,X2) ) ),
inference(flattening,[],[f103]) ).
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(f132,plain,
! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| holdsAt(X0,X1)
| releasedAt(X0,plus(X1,n1))
| happens(sK5(X0,X1),X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f136,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| releasedAt(X0,X1)
| happens(sK7(X0,X1),X1) ),
inference(cnf_transformation,[],[f94]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ terminates(X0,X2,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ releasedAt(X2,plus(X1,n1))
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f157,plain,
! [X2,X0,X1] :
( initiates(X0,X1,X2)
| tapOn != X0
| filling != X1 ),
inference(cnf_transformation,[],[f102]) ).
fof(f162,plain,
! [X2,X0,X1] :
( terminates(X0,X1,X2)
| overflow != X0
| filling != X1 ),
inference(cnf_transformation,[],[f104]) ).
fof(f168,plain,
! [X0,X1] :
( ~ happens(X0,X1)
| holdsAt(filling,X1)
| 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(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(filling,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(f238,plain,
! [X2,X1] :
( terminates(overflow,X1,X2)
| filling != X1 ),
inference(equality_resolution,[],[f162]) ).
fof(f239,plain,
! [X2] : terminates(overflow,filling,X2),
inference(equality_resolution,[],[f238]) ).
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(f253,plain,
less(n2,n3),
inference(resolution,[],[f205,f247]) ).
fof(f254,plain,
less(n1,n2),
inference(resolution,[],[f203,f247]) ).
fof(f255,plain,
less(n0,n1),
inference(resolution,[],[f201,f247]) ).
fof(f256,plain,
less_or_equal(n0,n1),
inference(resolution,[],[f198,f255]) ).
fof(f261,plain,
! [X2,X0,X1] :
( ~ holdsAt(X1,plus(n1,X0))
| ~ happens(X2,X0)
| ~ terminates(X2,X1,X0) ),
inference(superposition,[],[f138,f195]) ).
fof(f267,plain,
n1 = plus(n1,n0),
inference(superposition,[],[f195,f186]) ).
fof(f271,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n1),n0)
| ~ stoppedIn(X0,X1,n1) ),
inference(resolution,[],[f125,f200]) ).
fof(f272,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n2),n1)
| ~ stoppedIn(X0,X1,n2) ),
inference(resolution,[],[f125,f202]) ).
fof(f275,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n3),n2)
| ~ stoppedIn(X0,X1,n3) ),
inference(resolution,[],[f204,f125]) ).
fof(f278,plain,
! [X0,X1] :
( ~ initiates(X1,X0,n0)
| ~ happens(X1,n0)
| ~ releasedAt(X0,n1) ),
inference(superposition,[],[f141,f186]) ).
fof(f286,plain,
! [X0] :
( less(n0,X0)
| n0 = X0 ),
inference(resolution,[],[f220,f199]) ).
fof(f287,plain,
! [X0] :
( less_or_equal(X0,n0)
| n1 = X0
| less(n1,X0) ),
inference(resolution,[],[f220,f200]) ).
fof(f295,plain,
~ less(n2,n1),
inference(resolution,[],[f219,f254]) ).
fof(f310,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(f327,plain,
( n0 = n3
| less_or_equal(n0,n2) ),
inference(resolution,[],[f286,f204]) ).
fof(f340,definition,
( spl11_3
<=> less_or_equal(n0,n2) ),
introduced(definition,[new_symbols(definition,[spl11_3])],[avatar_definition]) ).
fof(f342,plain,
( less_or_equal(n0,n2)
| ~ spl11_3 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f344,definition,
( spl11_4
<=> n0 = n3 ),
introduced(definition,[new_symbols(definition,[spl11_4])],[avatar_definition]) ).
fof(f345,plain,
( n0 != n3
| spl11_4 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f346,plain,
( n0 = n3
| ~ spl11_4 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f347,plain,
( spl11_3
| spl11_4 ),
inference(avatar_split_clause,[],[f327,f344,f340]) ).
fof(f349,plain,
( ~ happens(tapOn,n0)
| ~ releasedAt(filling,n1) ),
inference(resolution,[],[f278,f233]) ).
fof(f350,plain,
~ releasedAt(filling,n1),
inference(forward_subsumption_resolution,[],[f349,f243]) ).
fof(f353,plain,
! [X0,X1] :
( ~ terminates(X1,X0,n3)
| ~ happens(X1,n3)
| ~ holdsAt(X0,n4) ),
inference(superposition,[],[f261,f191]) ).
fof(f364,plain,
! [X0,X1] :
( less(sK3(X0,X1,n3),n2)
| n2 = sK3(X0,X1,n3)
| ~ stoppedIn(X0,X1,n3) ),
inference(resolution,[],[f275,f196]) ).
fof(f366,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n1)
| n0 = sK3(X0,X1,n1)
| less(sK3(X0,X1,n1),n0) ),
inference(resolution,[],[f271,f196]) ).
fof(f367,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n1)
| n0 = sK3(X0,X1,n1) ),
inference(forward_subsumption_resolution,[],[f366,f199]) ).
fof(f386,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n3),n1)
| ~ stoppedIn(X0,X1,n3)
| n2 = sK3(X0,X1,n3) ),
inference(resolution,[],[f364,f202]) ).
fof(f389,plain,
less(n0,n2),
inference(resolution,[],[f256,f203]) ).
fof(f396,plain,
! [X0,X1] :
( less(sK3(X0,X1,n2),n1)
| n1 = sK3(X0,X1,n2)
| ~ stoppedIn(X0,X1,n2) ),
inference(resolution,[],[f272,f196]) ).
fof(f401,definition,
( spl11_5
<=> releasedAt(filling,n2) ),
introduced(definition,[new_symbols(definition,[spl11_5])],[avatar_definition]) ).
fof(f402,plain,
( releasedAt(filling,n2)
| ~ spl11_5 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f403,plain,
( ~ releasedAt(filling,n2)
| spl11_5 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f409,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n2),n0)
| ~ stoppedIn(X0,X1,n2)
| n1 = sK3(X0,X1,n2) ),
inference(resolution,[],[f396,f200]) ).
fof(f419,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,[],[f386,f196]) ).
fof(f448,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,[],[f409,f196]) ).
fof(f449,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n2)
| n1 = sK3(X0,X1,n2)
| n0 = sK3(X0,X1,n2) ),
inference(forward_subsumption_resolution,[],[f448,f199]) ).
fof(f455,plain,
! [X0] :
( n1 = X0
| less(n1,X0)
| n0 = X0
| less(X0,n0) ),
inference(resolution,[],[f287,f196]) ).
fof(f456,plain,
! [X0] :
( less(n1,X0)
| n1 = X0
| n0 = X0 ),
inference(forward_subsumption_resolution,[],[f455,f199]) ).
fof(f458,plain,
! [X0] :
( ~ less(X0,n1)
| n0 = X0
| n1 = X0 ),
inference(resolution,[],[f456,f219]) ).
fof(f478,definition,
( spl11_10
<=> n1 = n3 ),
introduced(definition,[new_symbols(definition,[spl11_10])],[avatar_definition]) ).
fof(f480,plain,
( n1 = n3
| ~ spl11_10 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f497,plain,
( less(n2,n0)
| ~ spl11_4 ),
inference(superposition,[],[f253,f346]) ).
fof(f510,plain,
( $false
| ~ spl11_4 ),
inference(forward_subsumption_resolution,[],[f497,f199]) ).
fof(f511,plain,
~ spl11_4,
inference(avatar_contradiction_clause,[],[f510]) ).
fof(f548,plain,
( less(n0,n3)
| ~ spl11_3 ),
inference(resolution,[],[f342,f205]) ).
fof(f592,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,[],[f310,f221]) ).
fof(f594,definition,
( spl11_15
<=> ! [X1] :
( ~ less(n0,X1)
| stoppedIn(n0,filling,plus(n0,X1))
| holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl11_15])],[avatar_definition]) ).
fof(f595,plain,
( ! [X1] :
( holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1))
| stoppedIn(n0,filling,plus(n0,X1))
| ~ less(n0,X1) )
| ~ spl11_15 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f597,definition,
( spl11_16
<=> ! [X0] :
( ~ happens(X0,n0)
| ~ initiates(X0,filling,n0) ) ),
introduced(definition,[new_symbols(definition,[spl11_16])],[avatar_definition]) ).
fof(f598,plain,
( ! [X0] :
( ~ initiates(X0,filling,n0)
| ~ happens(X0,n0) )
| ~ spl11_16 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f599,plain,
( spl11_15
| spl11_16 ),
inference(avatar_split_clause,[],[f592,f597,f594]) ).
fof(f604,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| ~ less(n0,n1)
| ~ spl11_15 ),
inference(superposition,[],[f595,f186]) ).
fof(f605,plain,
( holdsAt(waterLevel(n3),n3)
| stoppedIn(n0,filling,n3)
| ~ less(n0,n3)
| ~ spl11_15 ),
inference(superposition,[],[f595,f188]) ).
fof(f606,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| ~ less(n0,n2)
| ~ spl11_15 ),
inference(superposition,[],[f595,f187]) ).
fof(f609,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| ~ spl11_15 ),
inference(forward_subsumption_resolution,[],[f606,f389]) ).
fof(f610,plain,
( holdsAt(waterLevel(n3),n3)
| stoppedIn(n0,filling,n3)
| ~ spl11_3
| ~ spl11_15 ),
inference(forward_subsumption_resolution,[],[f605,f548]) ).
fof(f611,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| ~ spl11_15 ),
inference(forward_subsumption_resolution,[],[f604,f255]) ).
fof(f614,definition,
( spl11_17
<=> stoppedIn(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl11_17])],[avatar_definition]) ).
fof(f616,plain,
( stoppedIn(n0,filling,n2)
| ~ spl11_17 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f618,definition,
( spl11_18
<=> holdsAt(waterLevel(n2),n2) ),
introduced(definition,[new_symbols(definition,[spl11_18])],[avatar_definition]) ).
fof(f620,plain,
( holdsAt(waterLevel(n2),n2)
| ~ spl11_18 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f623,definition,
( spl11_19
<=> stoppedIn(n0,filling,n3) ),
introduced(definition,[new_symbols(definition,[spl11_19])],[avatar_definition]) ).
fof(f625,plain,
( stoppedIn(n0,filling,n3)
| ~ spl11_19 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f627,definition,
( spl11_20
<=> holdsAt(waterLevel(n3),n3) ),
introduced(definition,[new_symbols(definition,[spl11_20])],[avatar_definition]) ).
fof(f629,plain,
( holdsAt(waterLevel(n3),n3)
| ~ spl11_20 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f632,definition,
( spl11_21
<=> stoppedIn(n0,filling,n1) ),
introduced(definition,[new_symbols(definition,[spl11_21])],[avatar_definition]) ).
fof(f634,plain,
( stoppedIn(n0,filling,n1)
| ~ spl11_21 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f636,definition,
( spl11_22
<=> holdsAt(waterLevel(n1),n1) ),
introduced(definition,[new_symbols(definition,[spl11_22])],[avatar_definition]) ).
fof(f638,plain,
( holdsAt(waterLevel(n1),n1)
| ~ spl11_22 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f646,plain,
( ~ happens(tapOn,n0)
| ~ spl11_16 ),
inference(resolution,[],[f598,f233]) ).
fof(f647,plain,
( $false
| ~ spl11_16 ),
inference(forward_subsumption_resolution,[],[f646,f243]) ).
fof(f648,plain,
~ spl11_16,
inference(avatar_contradiction_clause,[],[f647]) ).
fof(f649,plain,
( spl11_21
| spl11_22
| ~ spl11_15 ),
inference(avatar_split_clause,[],[f611,f594,f636,f632]) ).
fof(f651,plain,
( spl11_17
| spl11_18
| ~ spl11_15 ),
inference(avatar_split_clause,[],[f609,f594,f618,f614]) ).
fof(f652,plain,
( spl11_19
| spl11_20
| ~ spl11_3
| ~ spl11_15 ),
inference(avatar_split_clause,[],[f610,f594,f340,f627,f623]) ).
fof(f654,plain,
( n0 = sK3(n0,filling,n1)
| ~ spl11_21 ),
inference(resolution,[],[f634,f367]) ).
fof(f660,plain,
( less(n0,n0)
| ~ stoppedIn(n0,filling,n1)
| ~ spl11_21 ),
inference(superposition,[],[f126,f654]) ).
fof(f662,plain,
( ~ stoppedIn(n0,filling,n1)
| ~ spl11_21 ),
inference(forward_subsumption_resolution,[],[f660,f248]) ).
fof(f664,plain,
( $false
| ~ spl11_21 ),
inference(forward_subsumption_resolution,[],[f662,f634]) ).
fof(f665,plain,
~ spl11_21,
inference(avatar_contradiction_clause,[],[f664]) ).
fof(f667,plain,
( ! [X0] :
( ~ holdsAt(waterLevel(X0),n1)
| n1 = X0 )
| ~ spl11_22 ),
inference(resolution,[],[f638,f176]) ).
fof(f675,plain,
( n1 = sK3(n0,filling,n2)
| n0 = sK3(n0,filling,n2)
| ~ spl11_17 ),
inference(resolution,[],[f616,f449]) ).
fof(f677,definition,
( spl11_26
<=> n0 = sK3(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl11_26])],[avatar_definition]) ).
fof(f679,plain,
( n0 = sK3(n0,filling,n2)
| ~ spl11_26 ),
inference(avatar_component_clause,[],[f677]) ).
fof(f681,definition,
( spl11_27
<=> n1 = sK3(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl11_27])],[avatar_definition]) ).
fof(f683,plain,
( n1 = sK3(n0,filling,n2)
| ~ spl11_27 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f684,plain,
( spl11_26
| spl11_27
| ~ spl11_17 ),
inference(avatar_split_clause,[],[f675,f614,f681,f677]) ).
fof(f700,plain,
( less(n0,n0)
| ~ stoppedIn(n0,filling,n2)
| ~ spl11_26 ),
inference(superposition,[],[f126,f679]) ).
fof(f702,plain,
( ~ stoppedIn(n0,filling,n2)
| ~ spl11_26 ),
inference(forward_subsumption_resolution,[],[f700,f248]) ).
fof(f704,plain,
( $false
| ~ spl11_17
| ~ spl11_26 ),
inference(forward_subsumption_resolution,[],[f702,f616]) ).
fof(f705,plain,
( ~ spl11_17
| ~ spl11_26 ),
inference(avatar_contradiction_clause,[],[f704]) ).
fof(f781,plain,
! [X0,X1] :
( ~ releasedAt(X1,plus(n1,X0))
| releasedAt(X1,X0)
| happens(sK7(X1,X0),X0) ),
inference(superposition,[],[f136,f195]) ).
fof(f783,plain,
! [X0] :
( happens(sK7(X0,n1),n1)
| releasedAt(X0,n1)
| ~ releasedAt(X0,n2) ),
inference(superposition,[],[f136,f189]) ).
fof(f791,plain,
! [X0] :
( releasedAt(X0,n1)
| ~ releasedAt(X0,n2)
| holdsAt(waterLevel(n3),n1)
| n0 = n1 ),
inference(resolution,[],[f783,f169]) ).
fof(f796,definition,
( spl11_34
<=> holdsAt(waterLevel(n3),n1) ),
introduced(definition,[new_symbols(definition,[spl11_34])],[avatar_definition]) ).
fof(f798,plain,
( holdsAt(waterLevel(n3),n1)
| ~ spl11_34 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f800,definition,
( spl11_35
<=> ! [X0] :
( releasedAt(X0,n1)
| ~ releasedAt(X0,n2) ) ),
introduced(definition,[new_symbols(definition,[spl11_35])],[avatar_definition]) ).
fof(f801,plain,
( ! [X0] :
( ~ releasedAt(X0,n2)
| releasedAt(X0,n1) )
| ~ spl11_35 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f805,definition,
( spl11_36
<=> n0 = n1 ),
introduced(definition,[new_symbols(definition,[spl11_36])],[avatar_definition]) ).
fof(f806,plain,
( n0 != n1
| spl11_36 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f807,plain,
( n0 = n1
| ~ spl11_36 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f808,plain,
( spl11_36
| spl11_34
| spl11_35 ),
inference(avatar_split_clause,[],[f791,f800,f796,f805]) ).
fof(f816,plain,
( n2 = plus(n1,n2)
| ~ spl11_36 ),
inference(superposition,[],[f187,f807]) ).
fof(f829,plain,
( n1 = plus(n1,n1)
| ~ spl11_36 ),
inference(superposition,[],[f267,f807]) ).
fof(f849,plain,
( n1 = n2
| ~ spl11_36 ),
inference(forward_demodulation,[],[f829,f189]) ).
fof(f857,plain,
( n3 = n2
| ~ spl11_36 ),
inference(forward_demodulation,[],[f816,f190]) ).
fof(f860,plain,
( n1 = n3
| ~ spl11_36 ),
inference(forward_demodulation,[],[f857,f849]) ).
fof(f861,plain,
( spl11_10
| ~ spl11_36 ),
inference(avatar_split_clause,[],[f860,f805,f478]) ).
fof(f863,plain,
( ! [X0] :
( ~ holdsAt(waterLevel(X0),n2)
| n2 = X0 )
| ~ spl11_18 ),
inference(resolution,[],[f620,f176]) ).
fof(f875,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,[],[f419,f458]) ).
fof(f879,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,[],[f875]) ).
fof(f949,plain,
( ~ happens(overflow,n3)
| ~ holdsAt(filling,n4) ),
inference(resolution,[],[f353,f239]) ).
fof(f952,plain,
~ happens(overflow,n3),
inference(forward_subsumption_resolution,[],[f949,f227]) ).
fof(f954,plain,
( n1 = sK3(n0,filling,n3)
| n2 = sK3(n0,filling,n3)
| n0 = sK3(n0,filling,n3)
| ~ spl11_19 ),
inference(resolution,[],[f879,f625]) ).
fof(f956,definition,
( spl11_39
<=> n0 = sK3(n0,filling,n3) ),
introduced(definition,[new_symbols(definition,[spl11_39])],[avatar_definition]) ).
fof(f958,plain,
( n0 = sK3(n0,filling,n3)
| ~ spl11_39 ),
inference(avatar_component_clause,[],[f956]) ).
fof(f960,definition,
( spl11_40
<=> n2 = sK3(n0,filling,n3) ),
introduced(definition,[new_symbols(definition,[spl11_40])],[avatar_definition]) ).
fof(f962,plain,
( n2 = sK3(n0,filling,n3)
| ~ spl11_40 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f964,definition,
( spl11_41
<=> n1 = sK3(n0,filling,n3) ),
introduced(definition,[new_symbols(definition,[spl11_41])],[avatar_definition]) ).
fof(f966,plain,
( n1 = sK3(n0,filling,n3)
| ~ spl11_41 ),
inference(avatar_component_clause,[],[f964]) ).
fof(f967,plain,
( spl11_39
| spl11_40
| spl11_41
| ~ spl11_19 ),
inference(avatar_split_clause,[],[f954,f623,f964,f960,f956]) ).
fof(f978,plain,
! [X0] :
( happens(sK7(X0,n3),n3)
| releasedAt(X0,n3)
| ~ releasedAt(X0,n4) ),
inference(superposition,[],[f781,f191]) ).
fof(f979,plain,
! [X0] :
( happens(sK7(X0,n2),n2)
| releasedAt(X0,n2)
| ~ releasedAt(X0,n3) ),
inference(superposition,[],[f781,f190]) ).
fof(f985,plain,
! [X0] :
( releasedAt(X0,n3)
| ~ releasedAt(X0,n4)
| holdsAt(filling,n3)
| n0 = n3 ),
inference(resolution,[],[f978,f168]) ).
fof(f986,plain,
( ! [X0] :
( releasedAt(X0,n3)
| ~ releasedAt(X0,n4)
| holdsAt(filling,n3) )
| spl11_4 ),
inference(forward_subsumption_resolution,[],[f985,f345]) ).
fof(f990,definition,
( spl11_42
<=> holdsAt(filling,n3) ),
introduced(definition,[new_symbols(definition,[spl11_42])],[avatar_definition]) ).
fof(f991,plain,
( ~ holdsAt(filling,n3)
| spl11_42 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f998,definition,
( spl11_44
<=> ! [X0] :
( releasedAt(X0,n3)
| ~ releasedAt(X0,n4) ) ),
introduced(definition,[new_symbols(definition,[spl11_44])],[avatar_definition]) ).
fof(f999,plain,
( ! [X0] :
( ~ releasedAt(X0,n4)
| releasedAt(X0,n3) )
| ~ spl11_44 ),
inference(avatar_component_clause,[],[f998]) ).
fof(f1000,plain,
( spl11_42
| spl11_44
| spl11_4 ),
inference(avatar_split_clause,[],[f986,f344,f998,f990]) ).
fof(f1012,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(f1020,plain,
( holdsAt(waterLevel(n3),n2)
| ~ stoppedIn(n0,filling,n3)
| n0 = n2
| ~ spl11_40 ),
inference(superposition,[],[f1012,f962]) ).
fof(f1021,plain,
( holdsAt(waterLevel(n3),n2)
| n0 = n2
| ~ spl11_19
| ~ spl11_40 ),
inference(forward_subsumption_resolution,[],[f1020,f625]) ).
fof(f1024,definition,
( spl11_45
<=> n0 = n2 ),
introduced(definition,[new_symbols(definition,[spl11_45])],[avatar_definition]) ).
fof(f1026,plain,
( n0 = n2
| ~ spl11_45 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f1028,definition,
( spl11_46
<=> holdsAt(waterLevel(n3),n2) ),
introduced(definition,[new_symbols(definition,[spl11_46])],[avatar_definition]) ).
fof(f1029,plain,
( ~ holdsAt(waterLevel(n3),n2)
| spl11_46 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f1030,plain,
( holdsAt(waterLevel(n3),n2)
| ~ spl11_46 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f1031,plain,
( spl11_45
| spl11_46
| ~ spl11_19
| ~ spl11_40 ),
inference(avatar_split_clause,[],[f1021,f960,f623,f1028,f1024]) ).
fof(f1032,plain,
( n3 = n2
| ~ spl11_18
| ~ spl11_46 ),
inference(resolution,[],[f1030,f863]) ).
fof(f1047,plain,
( less(n3,n3)
| ~ spl11_18
| ~ spl11_46 ),
inference(superposition,[],[f253,f1032]) ).
fof(f1087,plain,
( $false
| ~ spl11_18
| ~ spl11_46 ),
inference(forward_subsumption_resolution,[],[f1047,f248]) ).
fof(f1088,plain,
( ~ spl11_18
| ~ spl11_46 ),
inference(avatar_contradiction_clause,[],[f1087]) ).
fof(f1097,plain,
( happens(overflow,n3)
| ~ holdsAt(filling,n3)
| ~ spl11_20 ),
inference(resolution,[],[f629,f244]) ).
fof(f1107,plain,
( ~ holdsAt(filling,n3)
| ~ spl11_20 ),
inference(forward_subsumption_resolution,[],[f1097,f952]) ).
fof(f1108,plain,
( ~ spl11_42
| ~ spl11_20 ),
inference(avatar_split_clause,[],[f1107,f627,f990]) ).
fof(f1168,plain,
! [X0] :
( releasedAt(X0,n2)
| ~ releasedAt(X0,n3)
| holdsAt(waterLevel(n3),n2)
| n0 = n2 ),
inference(resolution,[],[f979,f169]) ).
fof(f1171,plain,
( ! [X0] :
( releasedAt(X0,n2)
| ~ releasedAt(X0,n3)
| n0 = n2 )
| spl11_46 ),
inference(forward_subsumption_resolution,[],[f1168,f1029]) ).
fof(f1178,definition,
( spl11_52
<=> ! [X0] :
( releasedAt(X0,n2)
| ~ releasedAt(X0,n3) ) ),
introduced(definition,[new_symbols(definition,[spl11_52])],[avatar_definition]) ).
fof(f1179,plain,
( ! [X0] :
( ~ releasedAt(X0,n3)
| releasedAt(X0,n2) )
| ~ spl11_52 ),
inference(avatar_component_clause,[],[f1178]) ).
fof(f1181,plain,
( spl11_45
| spl11_52
| spl11_46 ),
inference(avatar_split_clause,[],[f1171,f1028,f1178,f1024]) ).
fof(f1183,plain,
( n3 = plus(n1,n0)
| ~ spl11_45 ),
inference(superposition,[],[f190,f1026]) ).
fof(f1236,plain,
( n1 = n3
| ~ spl11_45 ),
inference(forward_demodulation,[],[f1183,f267]) ).
fof(f1239,plain,
( spl11_10
| ~ spl11_45 ),
inference(avatar_split_clause,[],[f1236,f1024,f478]) ).
fof(f1298,definition,
( spl11_55
<=> releasedAt(filling,n4) ),
introduced(definition,[new_symbols(definition,[spl11_55])],[avatar_definition]) ).
fof(f1299,plain,
( releasedAt(filling,n4)
| ~ spl11_55 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f1300,plain,
( ~ releasedAt(filling,n4)
| spl11_55 ),
inference(avatar_component_clause,[],[f1298]) ).
fof(f1346,plain,
! [X0,X1] :
( ~ holdsAt(X1,plus(n1,X0))
| holdsAt(X1,X0)
| releasedAt(X1,plus(n1,X0))
| happens(sK5(X1,X0),X0) ),
inference(superposition,[],[f132,f195]) ).
fof(f1410,plain,
! [X0] :
( happens(sK5(X0,n3),n3)
| holdsAt(X0,n3)
| releasedAt(X0,n4)
| ~ holdsAt(X0,n4) ),
inference(superposition,[],[f1346,f191]) ).
fof(f1423,plain,
! [X0] :
( holdsAt(X0,n3)
| releasedAt(X0,n4)
| ~ holdsAt(X0,n4)
| holdsAt(filling,n3)
| n0 = n3 ),
inference(resolution,[],[f1410,f168]) ).
fof(f1424,plain,
( ! [X0] :
( holdsAt(X0,n3)
| releasedAt(X0,n4)
| ~ holdsAt(X0,n4)
| n0 = n3 )
| spl11_42 ),
inference(forward_subsumption_resolution,[],[f1423,f991]) ).
fof(f1427,plain,
( ! [X0] :
( ~ holdsAt(X0,n4)
| releasedAt(X0,n4)
| holdsAt(X0,n3) )
| spl11_4
| spl11_42 ),
inference(forward_subsumption_resolution,[],[f1424,f345]) ).
fof(f1428,plain,
( releasedAt(filling,n4)
| holdsAt(filling,n3)
| spl11_4
| spl11_42 ),
inference(resolution,[],[f1427,f227]) ).
fof(f1429,plain,
( holdsAt(filling,n3)
| spl11_4
| spl11_42
| spl11_55 ),
inference(forward_subsumption_resolution,[],[f1428,f1300]) ).
fof(f1430,plain,
( $false
| spl11_4
| spl11_42
| spl11_55 ),
inference(forward_subsumption_resolution,[],[f1429,f991]) ).
fof(f1431,plain,
( spl11_4
| spl11_42
| spl11_55 ),
inference(avatar_contradiction_clause,[],[f1430]) ).
fof(f1446,plain,
( holdsAt(waterLevel(n3),n1)
| ~ stoppedIn(n0,filling,n3)
| n0 = n1
| ~ spl11_41 ),
inference(superposition,[],[f1012,f966]) ).
fof(f1447,plain,
( holdsAt(waterLevel(n3),n1)
| n0 = n1
| ~ spl11_19
| ~ spl11_41 ),
inference(forward_subsumption_resolution,[],[f1446,f625]) ).
fof(f1450,plain,
( holdsAt(waterLevel(n3),n1)
| ~ spl11_19
| spl11_36
| ~ spl11_41 ),
inference(forward_subsumption_resolution,[],[f1447,f806]) ).
fof(f1451,plain,
( spl11_34
| ~ spl11_19
| spl11_36
| ~ spl11_41 ),
inference(avatar_split_clause,[],[f1450,f964,f805,f623,f796]) ).
fof(f1463,plain,
( releasedAt(filling,n3)
| ~ spl11_44
| ~ spl11_55 ),
inference(resolution,[],[f1299,f999]) ).
fof(f1465,plain,
( releasedAt(filling,n2)
| ~ spl11_44
| ~ spl11_52
| ~ spl11_55 ),
inference(resolution,[],[f1463,f1179]) ).
fof(f1466,plain,
( $false
| spl11_5
| ~ spl11_44
| ~ spl11_52
| ~ spl11_55 ),
inference(forward_subsumption_resolution,[],[f1465,f403]) ).
fof(f1467,plain,
( spl11_5
| ~ spl11_44
| ~ spl11_52
| ~ spl11_55 ),
inference(avatar_contradiction_clause,[],[f1466]) ).
fof(f1469,plain,
( releasedAt(filling,n1)
| ~ spl11_5
| ~ spl11_35 ),
inference(resolution,[],[f402,f801]) ).
fof(f1470,plain,
( $false
| ~ spl11_5
| ~ spl11_35 ),
inference(forward_subsumption_resolution,[],[f1469,f350]) ).
fof(f1471,plain,
( ~ spl11_5
| ~ spl11_35 ),
inference(avatar_contradiction_clause,[],[f1470]) ).
fof(f1486,plain,
( less(n0,n0)
| ~ stoppedIn(n0,filling,n3)
| ~ spl11_39 ),
inference(superposition,[],[f126,f958]) ).
fof(f1492,plain,
( ~ stoppedIn(n0,filling,n3)
| ~ spl11_39 ),
inference(forward_subsumption_resolution,[],[f1486,f248]) ).
fof(f1494,plain,
( $false
| ~ spl11_19
| ~ spl11_39 ),
inference(forward_subsumption_resolution,[],[f1492,f625]) ).
fof(f1495,plain,
( ~ spl11_19
| ~ spl11_39 ),
inference(avatar_contradiction_clause,[],[f1494]) ).
fof(f1506,plain,
( holdsAt(waterLevel(n3),n1)
| ~ stoppedIn(n0,filling,n2)
| n0 = n1
| ~ spl11_27 ),
inference(superposition,[],[f1012,f683]) ).
fof(f1507,plain,
( holdsAt(waterLevel(n3),n1)
| n0 = n1
| ~ spl11_17
| ~ spl11_27 ),
inference(forward_subsumption_resolution,[],[f1506,f616]) ).
fof(f1510,plain,
( holdsAt(waterLevel(n3),n1)
| ~ spl11_17
| ~ spl11_27
| spl11_36 ),
inference(forward_subsumption_resolution,[],[f1507,f806]) ).
fof(f1511,plain,
( spl11_34
| ~ spl11_17
| ~ spl11_27
| spl11_36 ),
inference(avatar_split_clause,[],[f1510,f805,f681,f614,f796]) ).
fof(f1533,plain,
( n1 = n3
| ~ spl11_22
| ~ spl11_34 ),
inference(resolution,[],[f798,f667]) ).
fof(f1542,plain,
( spl11_10
| ~ spl11_22
| ~ spl11_34 ),
inference(avatar_split_clause,[],[f1533,f796,f636,f478]) ).
fof(f1555,plain,
( less(n2,n1)
| ~ spl11_10 ),
inference(superposition,[],[f253,f480]) ).
fof(f1610,plain,
( $false
| ~ spl11_10 ),
inference(forward_subsumption_resolution,[],[f1555,f295]) ).
fof(f1611,plain,
~ spl11_10,
inference(avatar_contradiction_clause,[],[f1610]) ).
cnf(s2,plain,
( spl11_3
| spl11_4 ),
inference(sat_conversion,[],[f347]) ).
cnf(s11,plain,
~ spl11_4,
inference(sat_conversion,[],[f511]) ).
cnf(s15,plain,
( spl11_15
| spl11_16 ),
inference(sat_conversion,[],[f599]) ).
cnf(s20,plain,
~ spl11_16,
inference(sat_conversion,[],[f648]) ).
cnf(s21,plain,
( ~ spl11_15
| spl11_21
| spl11_22 ),
inference(sat_conversion,[],[f649]) ).
cnf(s23,plain,
( ~ spl11_15
| spl11_17
| spl11_18 ),
inference(sat_conversion,[],[f651]) ).
cnf(s24,plain,
( ~ spl11_3
| ~ spl11_15
| spl11_19
| spl11_20 ),
inference(sat_conversion,[],[f652]) ).
cnf(s25,plain,
~ spl11_21,
inference(sat_conversion,[],[f665]) ).
cnf(s27,plain,
( ~ spl11_17
| spl11_26
| spl11_27 ),
inference(sat_conversion,[],[f684]) ).
cnf(s29,plain,
( ~ spl11_17
| ~ spl11_26 ),
inference(sat_conversion,[],[f705]) ).
cnf(s34,plain,
( spl11_34
| spl11_35
| spl11_36 ),
inference(sat_conversion,[],[f808]) ).
cnf(s40,plain,
( spl11_10
| ~ spl11_36 ),
inference(sat_conversion,[],[f861]) ).
cnf(s44,plain,
( ~ spl11_19
| spl11_39
| spl11_40
| spl11_41 ),
inference(sat_conversion,[],[f967]) ).
cnf(s46,plain,
( spl11_4
| spl11_42
| spl11_44 ),
inference(sat_conversion,[],[f1000]) ).
cnf(s48,plain,
( ~ spl11_19
| ~ spl11_40
| spl11_45
| spl11_46 ),
inference(sat_conversion,[],[f1031]) ).
cnf(s54,plain,
( ~ spl11_18
| ~ spl11_46 ),
inference(sat_conversion,[],[f1088]) ).
cnf(s58,plain,
( ~ spl11_20
| ~ spl11_42 ),
inference(sat_conversion,[],[f1108]) ).
cnf(s62,plain,
( spl11_45
| spl11_46
| spl11_52 ),
inference(sat_conversion,[],[f1181]) ).
cnf(s67,plain,
( spl11_10
| ~ spl11_45 ),
inference(sat_conversion,[],[f1239]) ).
cnf(s78,plain,
( spl11_4
| spl11_42
| spl11_55 ),
inference(sat_conversion,[],[f1431]) ).
cnf(s79,plain,
( ~ spl11_19
| spl11_34
| spl11_36
| ~ spl11_41 ),
inference(sat_conversion,[],[f1451]) ).
cnf(s81,plain,
( spl11_5
| ~ spl11_44
| ~ spl11_52
| ~ spl11_55 ),
inference(sat_conversion,[],[f1467]) ).
cnf(s82,plain,
( ~ spl11_5
| ~ spl11_35 ),
inference(sat_conversion,[],[f1471]) ).
cnf(s83,plain,
( ~ spl11_19
| ~ spl11_39 ),
inference(sat_conversion,[],[f1495]) ).
cnf(s84,plain,
( ~ spl11_17
| ~ spl11_27
| spl11_34
| spl11_36 ),
inference(sat_conversion,[],[f1511]) ).
cnf(s86,plain,
( spl11_10
| ~ spl11_22
| ~ spl11_34 ),
inference(sat_conversion,[],[f1542]) ).
cnf(s94,plain,
~ spl11_10,
inference(sat_conversion,[],[f1611]) ).
cnf(s95,plain,
( ~ spl11_22
| ~ spl11_34 ),
inference(rat,[],[s86,s94]) ).
cnf(s96,plain,
~ spl11_45,
inference(rat,[],[s67,s94]) ).
cnf(s97,plain,
( spl11_46
| spl11_52 ),
inference(rat,[],[s62,s96]) ).
cnf(s100,plain,
( ~ spl11_19
| ~ spl11_40
| spl11_46 ),
inference(rat,[],[s48,s96]) ).
cnf(s101,plain,
~ spl11_36,
inference(rat,[],[s40,s94]) ).
cnf(s105,plain,
( spl11_34
| spl11_35 ),
inference(rat,[],[s34,s101]) ).
cnf(s107,plain,
( ~ spl11_15
| spl11_22 ),
inference(rat,[],[s21,s25]) ).
cnf(s110,plain,
spl11_15,
inference(rat,[],[s15,s20]) ).
cnf(s112,plain,
spl11_22,
inference(rat,[],[s107,s110]) ).
cnf(s113,plain,
~ spl11_34,
inference(rat,[],[s95,s112]) ).
cnf(s114,plain,
spl11_35,
inference(rat,[],[s105,s113]) ).
cnf(s115,plain,
~ spl11_5,
inference(rat,[],[s82,s114]) ).
cnf(s120,plain,
spl11_3,
inference(rat,[],[s2,s11]) ).
cnf(s122,plain,
( spl11_42
| ~ spl11_52 ),
inference(rat,[],[s81,s46,s78,s115,s11]) ).
cnf(s123,plain,
~ spl11_17,
inference(rat,[],[s27,s29,s84,s113,s101]) ).
cnf(s124,plain,
spl11_18,
inference(rat,[],[s23,s110,s123]) ).
cnf(s125,plain,
~ spl11_46,
inference(rat,[],[s54,s124]) ).
cnf(s126,plain,
spl11_52,
inference(rat,[],[s97,s125]) ).
cnf(s127,plain,
spl11_42,
inference(rat,[],[s122,s126]) ).
cnf(s128,plain,
~ spl11_20,
inference(rat,[],[s58,s127]) ).
cnf(s130,plain,
spl11_19,
inference(rat,[],[s24,s120,s110,s128]) ).
cnf(s132,plain,
~ spl11_39,
inference(rat,[],[s83,s130]) ).
cnf(s133,plain,
~ spl11_41,
inference(rat,[],[s79,s113,s101,s130]) ).
cnf(s134,plain,
~ spl11_40,
inference(rat,[],[s100,s125,s130]) ).
cnf(s135,plain,
$false,
inference(rat,[],[s44,s133,s130,s132,s134]) ).
fof(f1613,plain,
$false,
inference(avatar_sat_refutation,[],[s135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR002+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.24 % Computer : n014.cluster.edu
% 0.11/0.24 % Model : x86_64 x86_64
% 0.11/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.24 % Memory : 8046.5625MB
% 0.11/0.24 % OS : Linux 6.8.0-71-generic
% 0.11/0.24 % CPULimit : 300
% 0.11/0.24 % WCLimit : 300
% 0.11/0.24 % DateTime : Mon Sep 28 22:05:01 UTC 2026
% 0.11/0.25 % CPUTime :
% 0.11/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.28 Running first-order theorem proving
% 0.23/0.28 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.57/1.90 % (2234342)Detected formulas, will run a generic FOF schedule.
% 6.57/1.90 % (2234442)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3284118394:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.57/1.90 % (2234442)Refutation not found, incomplete strategy
% 6.57/1.90 % (2234442)------------------------------
% 6.57/1.90 % (2234442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.90 % (2234442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.90 % (2234442)CaDiCaL version: 2.1.3
% 6.57/1.90 % (2234442)Termination reason: Refutation not found, incomplete strategy
% 6.57/1.90 % (2234442)Time elapsed: 0.001 s
% 6.57/1.90 % (2234442)Peak memory usage: 88 MB
% 6.57/1.90 % (2234442)Instructions burned: 1 (million)
% 6.57/1.90 % (2234445)dis-21_1_sil=8000:lcm=predicate:random_seed=1488813385: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)
% 6.57/1.90 % (2234443)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=505809170:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.57/1.90 % (2234437)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=699491607:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.57/1.90 % (2234439)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=1482155228:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.57/1.90 % (2234441)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=3070788705:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.57/1.90 % (2234444)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=374551816:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.57/1.90 % (2234443)Refutation not found, incomplete strategy
% 6.57/1.90 % (2234443)------------------------------
% 6.57/1.90 % (2234443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.90 % (2234443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.90 % (2234443)CaDiCaL version: 2.1.3
% 6.57/1.90 % (2234443)Termination reason: Refutation not found, incomplete strategy
% 6.57/1.90 % (2234443)Time elapsed: 0.008 s
% 6.57/1.90 % (2234443)Peak memory usage: 88 MB
% 6.57/1.90 % (2234443)Instructions burned: 11 (million)
% 6.57/1.90 % (2234445)Instruction limit reached!
% 6.57/1.90 % (2234445)------------------------------
% 6.57/1.90 % (2234445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.90 % (2234445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.90 % (2234445)CaDiCaL version: 2.1.3
% 6.57/1.90 % (2234445)Termination reason: Instruction limit
% 6.57/1.90 % (2234445)Termination phase: Saturation
% 6.57/1.90 % (2234445)Time elapsed: 0.075 s
% 6.57/1.90 % (2234445)Peak memory usage: 89 MB
% 6.57/1.90 % (2234445)Instructions burned: 130 (million)
% 6.57/1.90 % (2234444)Instruction limit reached!
% 6.57/1.90 % (2234444)------------------------------
% 6.57/1.90 % (2234444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.90 % (2234444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.90 % (2234444)CaDiCaL version: 2.1.3
% 6.57/1.90 % (2234444)Termination reason: Instruction limit
% 6.57/1.90 % (2234444)Termination phase: Saturation
% 6.57/1.90 % (2234444)Time elapsed: 0.102 s
% 6.57/1.90 % (2234444)Peak memory usage: 90 MB
% 6.57/1.90 % (2234444)Instructions burned: 140 (million)
% 6.57/1.90 % (2234442)------------------------------
% 6.57/1.90 % (2234442)------------------------------
% 6.57/1.90 % (2234472)lrs+10_1_sil=8000:sp=occurrence:random_seed=3682951433:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.57/1.90 % (2234489)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3753901133:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.57/1.90 % (2234487)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1295652842:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.57/1.90 % (2234487)Refutation not found, incomplete strategy
% 6.57/1.90 % (2234487)------------------------------
% 6.57/1.90 % (2234487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.90 % (2234487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.90 % (2234487)CaDiCaL version: 2.1.3
% 6.57/1.90 % (2234487)Termination reason: Refutation not found, incomplete strategy
% 6.57/1.90 % (2234487)Time elapsed: 0.001 s
% 6.57/1.90 % (2234487)Peak memory usage: 88 MB
% 6.57/1.90 % (2234487)Instructions burned: 1 (million)
% 6.57/1.90 % (2234443)------------------------------
% 6.57/1.90 % (2234443)------------------------------
% 6.57/1.90 % (2234489)Instruction limit reached!
% 6.57/1.90 % (2234489)------------------------------
% 6.57/1.90 % (2234489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.90 % (2234489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.90 % (2234489)CaDiCaL version: 2.1.3
% 6.57/1.90 % (2234489)Termination reason: Instruction limit
% 6.57/1.90 % (2234489)Termination phase: Saturation
% 6.57/1.90 % (2234489)Time elapsed: 0.109 s
% 6.57/1.90 % (2234489)Peak memory usage: 91 MB
% 6.57/1.90 % (2234489)Instructions burned: 326 (million)
% 6.57/1.90 % (2234472)Instruction limit reached!
% 6.57/1.90 % (2234472)------------------------------
% 6.57/1.90 % (2234472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.90 % (2234472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.90 % (2234472)CaDiCaL version: 2.1.3
% 6.57/1.90 % (2234472)Termination reason: Instruction limit
% 6.57/1.90 % (2234472)Termination phase: Saturation
% 6.57/1.90 % (2234472)Time elapsed: 0.177 s
% 6.57/1.90 % (2234472)Peak memory usage: 90 MB
% 6.57/1.90 % (2234472)Instructions burned: 286 (million)
% 6.57/1.90 % (2234520)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=3956003160:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 6.57/1.90 % (2234521)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2491661654:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.57/1.90 % (2234487)------------------------------
% 6.57/1.90 % (2234487)------------------------------
% 6.57/1.90 % (2234521)Instruction limit reached!
% 6.57/1.90 % (2234521)------------------------------
% 6.57/1.90 % (2234521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.90 % (2234521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.90 % (2234521)CaDiCaL version: 2.1.3
% 6.57/1.90 % (2234521)Termination reason: Instruction limit
% 6.57/1.90 % (2234521)Termination phase: Saturation
% 6.57/1.90 % (2234521)Time elapsed: 0.089 s
% 6.57/1.90 % (2234521)Peak memory usage: 89 MB
% 6.57/1.90 % (2234521)Instructions burned: 296 (million)
% 6.57/1.90 % (2234523)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=531587381:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.57/1.90 % (2234520)Instruction limit reached!
% 6.57/1.90 % (2234520)------------------------------
% 6.57/1.90 % (2234520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.90 % (2234520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.90 % (2234520)CaDiCaL version: 2.1.3
% 6.57/1.90 % (2234520)Termination reason: Instruction limit
% 6.57/1.90 % (2234520)Termination phase: Saturation
% 6.57/1.90 % (2234520)Time elapsed: 0.144 s
% 6.57/1.90 % (2234520)Peak memory usage: 91 MB
% 6.57/1.90 % (2234520)Instructions burned: 250 (million)
% 6.57/1.90 % (2234526)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=833360416:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.57/1.90 % (2234525)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3427111109:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.57/1.90 % (2234525)Refutation not found, incomplete strategy
% 6.57/1.90 % (2234525)------------------------------
% 6.57/1.90 % (2234525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.90 % (2234525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.90 % (2234525)CaDiCaL version: 2.1.3
% 6.57/1.90 % (2234525)Termination reason: Refutation not found, incomplete strategy
% 6.57/1.90 % (2234525)Time elapsed: 0.002 s
% 6.57/1.90 % (2234525)Peak memory usage: 88 MB
% 6.57/1.90 % (2234525)Instructions burned: 2 (million)
% 6.57/1.90 % (2234441)Refutation not found, incomplete strategy
% 6.57/1.90 % (2234441)------------------------------
% 6.57/1.90 % (2234441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.90 % (2234441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.90 % (2234441)CaDiCaL version: 2.1.3
% 6.57/1.90 % (2234441)Termination reason: Refutation not found, incomplete strategy
% 6.57/1.90 % (2234441)Time elapsed: 0.602 s
% 6.57/1.90 % (2234441)Peak memory usage: 128 MB
% 6.57/1.90 % (2234441)Instructions burned: 898 (million)
% 6.57/1.90 % (2234526)Instruction limit reached!
% 6.57/1.90 % (2234526)------------------------------
% 6.57/1.90 % (2234526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.90 % (2234526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.90 % (2234526)CaDiCaL version: 2.1.3
% 6.57/1.90 % (2234526)Termination reason: Instruction limit
% 6.57/1.90 % (2234526)Termination phase: Saturation
% 6.57/1.90 % (2234526)Time elapsed: 0.035 s
% 6.57/1.90 % (2234526)Peak memory usage: 89 MB
% 6.57/1.90 % (2234526)Instructions burned: 131 (million)
% 6.57/1.90 % (2234528)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4029807779:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.57/1.90 % (2234528)Refutation not found, incomplete strategy
% 6.57/1.90 % (2234528)------------------------------
% 6.57/1.90 % (2234528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.90 % (2234528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.90 % (2234528)CaDiCaL version: 2.1.3
% 6.57/1.90 % (2234528)Termination reason: Refutation not found, incomplete strategy
% 6.57/1.90 % (2234528)Time elapsed: 0.012 s
% 6.57/1.90 % (2234528)Peak memory usage: 88 MB
% 6.57/1.90 % (2234528)Instructions burned: 17 (million)
% 6.57/1.90 % (2234531)lrs+10_1_sil=8000:sp=occurrence:random_seed=754691730:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.57/1.90 % (2234437)First to succeed.
% 6.57/1.90 % (2234437)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2234342"
% 6.57/1.90 % (2234439)Also succeeded, but the first one will report.
% 6.57/1.90 % (2234525)------------------------------
% 6.57/1.90 % (2234525)------------------------------
% 6.57/1.90 % (2234441)------------------------------
% 6.57/1.90 % (2234441)------------------------------
% 6.57/1.90 % (2234528)------------------------------
% 6.57/1.90 % (2234528)------------------------------
% 6.57/1.90 % (2234531)Instruction limit reached!
% 6.57/1.90 % (2234531)------------------------------
% 6.57/1.90 % (2234531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.90 % (2234531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.90 % (2234531)CaDiCaL version: 2.1.3
% 6.57/1.90 % (2234531)Termination reason: Instruction limit
% 6.57/1.90 % (2234531)Termination phase: Saturation
% 6.57/1.90 % (2234531)Time elapsed: 0.269 s
% 6.57/1.90 % (2234531)Peak memory usage: 93 MB
% 6.57/1.90 % (2234531)Instructions burned: 907 (million)
% 6.57/1.90 % (2234534)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3371282922:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 6.57/1.90 % (2234534)Refutation not found, incomplete strategy
% 6.57/1.90 % (2234534)------------------------------
% 6.57/1.90 % (2234534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.57/1.90 % (2234534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.90 % (2234534)CaDiCaL version: 2.1.3
% 6.57/1.90 % (2234534)Termination reason: Refutation not found, incomplete strategy
% 6.57/1.90 % (2234534)Time elapsed: 0.002 s
% 6.57/1.90 % (2234534)Peak memory usage: 88 MB
% 6.57/1.90 % (2234534)Instructions burned: 1 (million)
% 6.57/1.90 % (2234535)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3742298815:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.57/1.90 % (2234437)Refutation found. Thanks to Tanya!
% 6.57/1.90 % SZS status Theorem for theBenchmark
% 6.57/1.90 % SZS output start Proof for theBenchmark
% See solution above
% 9.01/2.09 % (2234437)------------------------------
% 9.01/2.09 % (2234437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.01/2.09 % (2234437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.01/2.09 % (2234437)CaDiCaL version: 2.1.3
% 9.01/2.09 % (2234437)Termination reason: Refutation
% 9.01/2.09 % (2234437)Time elapsed: 0.776 s
% 9.01/2.09 % (2234437)Peak memory usage: 131 MB
% 9.01/2.09 % (2234437)Instructions burned: 1126 (million)
% 9.01/2.09 % (2234437)------------------------------
% 9.01/2.09 % (2234437)------------------------------
% 9.01/2.09 % (2234342)Success in time 1.176 s
% 9.01/2.09 % Vampire exiting
%------------------------------------------------------------------------------