%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR006+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 : 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 09:41:56 AM UTC 2026
% Result : Theorem 8.69s 2.14s
% Output : Refutation 10.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 40
% Syntax : Number of formulae : 265 ( 57 unt; 21 def)
% Number of atoms : 742 ( 166 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 792 ( 315 ~; 368 |; 74 &)
% ( 30 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 19 prp; 0-4 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-3 aty)
% Number of variables : 231 ( 0 sgn 218 !; 13 ?)
% 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(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(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(f37,axiom,
! [X0,X1] :
( less_or_equal(X0,X1)
<=> ( less(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).
fof(f38,axiom,
~ ? [X0] : less(X0,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less0) ).
fof(f39,axiom,
! [X0] :
( less(X0,n1)
<=> less_or_equal(X0,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less1) ).
fof(f40,axiom,
! [X0] :
( less(X0,n2)
<=> less_or_equal(X0,n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less2) ).
fof(f41,axiom,
! [X0] :
( less(X0,n3)
<=> less_or_equal(X0,n2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less3) ).
fof(f48,axiom,
! [X0,X1] :
( less(X0,X1)
<=> ( ~ less(X1,X0)
& X1 != X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
fof(f49,axiom,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_0) ).
fof(f50,axiom,
~ holdsAt(filling,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_filling_0) ).
fof(f55,conjecture,
holdsAt(waterLevel(n3),n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_3) ).
fof(f56,negated_conjecture,
~ holdsAt(waterLevel(n3),n3),
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),n3),
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(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(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(f101,plain,
! [X0,X1,X2] :
( ( initiates(X0,X1,X2)
| ( ( tapOn != X0
| filling != X1 )
& ( overflow != X0
| spilling != X1 )
& ~ sP1(X2,X0,X1)
& ~ sP0(X2,X0,X1) ) )
& ( ( X0 = tapOn
& X1 = filling )
| ( X0 = overflow
& X1 = spilling )
| sP1(X2,X0,X1)
| sP0(X2,X0,X1)
| ~ initiates(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f89]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ( initiates(X0,X1,X2)
| ( ( tapOn != X0
| filling != X1 )
& ( overflow != X0
| spilling != X1 )
& ~ sP1(X2,X0,X1)
& ~ sP0(X2,X0,X1) ) )
& ( ( X0 = tapOn
& X1 = filling )
| ( X0 = overflow
& X1 = spilling )
| sP1(X2,X0,X1)
| sP0(X2,X0,X1)
| ~ initiates(X0,X1,X2) ) ),
inference(flattening,[],[f101]) ).
fof(f108,plain,
! [X0,X1] :
( ( happens(X0,X1)
| ( ( tapOn != X0
| n0 != X1 )
& ( ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1)
| overflow != X0 ) ) )
& ( ( X0 = tapOn
& X1 = n0 )
| ( holdsAt(waterLevel(n3),X1)
& holdsAt(filling,X1)
& X0 = overflow )
| ~ happens(X0,X1) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f109,plain,
! [X0,X1] :
( ( happens(X0,X1)
| ( ( tapOn != X0
| n0 != X1 )
& ( ~ holdsAt(waterLevel(n3),X1)
| ~ holdsAt(filling,X1)
| overflow != X0 ) ) )
& ( ( X0 = tapOn
& X1 = n0 )
| ( holdsAt(waterLevel(n3),X1)
& holdsAt(filling,X1)
& X0 = overflow )
| ~ happens(X0,X1) ) ),
inference(flattening,[],[f108]) ).
fof(f111,plain,
! [X0,X1] :
( ( less_or_equal(X0,X1)
| ( ~ less(X0,X1)
& X0 != X1 ) )
& ( less(X0,X1)
| X0 = X1
| ~ less_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f112,plain,
! [X0,X1] :
( ( less_or_equal(X0,X1)
| ( ~ less(X0,X1)
& X0 != X1 ) )
& ( less(X0,X1)
| X0 = X1
| ~ less_or_equal(X0,X1) ) ),
inference(flattening,[],[f111]) ).
fof(f113,plain,
! [X0] :
( ( less(X0,n1)
| ~ less_or_equal(X0,n0) )
& ( less_or_equal(X0,n0)
| ~ less(X0,n1) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f114,plain,
! [X0] :
( ( less(X0,n2)
| ~ less_or_equal(X0,n1) )
& ( less_or_equal(X0,n1)
| ~ less(X0,n2) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f115,plain,
! [X0] :
( ( less(X0,n3)
| ~ less_or_equal(X0,n2) )
& ( less_or_equal(X0,n2)
| ~ less(X0,n3) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f122,plain,
! [X0,X1] :
( ( less(X0,X1)
| less(X1,X0)
| X0 = X1 )
& ( ( ~ less(X1,X0)
& X1 != X0 )
| ~ less(X0,X1) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f123,plain,
! [X0,X1] :
( ( less(X0,X1)
| less(X1,X0)
| X0 = X1 )
& ( ( ~ less(X1,X0)
& X1 != X0 )
| ~ less(X0,X1) ) ),
inference(flattening,[],[f122]) ).
fof(f125,plain,
! [X2,X0,X1] :
( less(sK3(X0,X1,X2),X2)
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f126,plain,
! [X2,X0,X1] :
( less(X0,sK3(X0,X1,X2))
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f127,plain,
! [X2,X0,X1] :
( happens(sK2(X0,X1,X2),sK3(X0,X1,X2))
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f128,plain,
! [X2,X3,X0,X1,X4] :
( ~ trajectory(X2,X1,X3,X4)
| ~ happens(X0,X1)
| ~ initiates(X0,X2,X1)
| ~ less(n0,X4)
| holdsAt(X3,plus(X1,X4))
| stoppedIn(X1,X2,plus(X1,X4)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ~ initiates(X0,X2,X1)
| ~ happens(X0,X1)
| holdsAt(X2,plus(X1,n1)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f157,plain,
! [X2,X0,X1] :
( initiates(X0,X1,X2)
| tapOn != X0
| filling != X1 ),
inference(cnf_transformation,[],[f102]) ).
fof(f169,plain,
! [X0,X1] :
( ~ happens(X0,X1)
| holdsAt(waterLevel(n3),X1)
| n0 = X1 ),
inference(cnf_transformation,[],[f109]) ).
fof(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(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(f222,plain,
~ holdsAt(filling,n0),
inference(cnf_transformation,[],[f50]) ).
fof(f227,plain,
~ holdsAt(waterLevel(n3),n3),
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(f242,plain,
! [X1] :
( happens(tapOn,X1)
| n0 != X1 ),
inference(equality_resolution,[],[f174]) ).
fof(f243,plain,
happens(tapOn,n0),
inference(equality_resolution,[],[f242]) ).
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,n3),
inference(definition_folding,[],[f227,f250]) ).
fof(f256,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(f266,plain,
! [X0] :
( less(n0,X0)
| n0 = X0 ),
inference(resolution,[],[f220,f199]) ).
fof(f282,definition,
( spl12_1
<=> n0 = n3 ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
fof(f283,plain,
( n0 != n3
| spl12_1 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f284,plain,
( n0 = n3
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f290,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n1),n0)
| ~ stoppedIn(X0,X1,n1) ),
inference(resolution,[],[f200,f125]) ).
fof(f292,plain,
! [X0] :
( less_or_equal(X0,n0)
| less(n1,X0)
| n1 = X0 ),
inference(resolution,[],[f200,f220]) ).
fof(f294,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n1)
| n0 = sK3(X0,X1,n1)
| less(sK3(X0,X1,n1),n0) ),
inference(resolution,[],[f290,f196]) ).
fof(f295,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n1)
| n0 = sK3(X0,X1,n1) ),
inference(forward_subsumption_resolution,[],[f294,f199]) ).
fof(f306,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n3),n2)
| ~ stoppedIn(X0,X1,n3) ),
inference(resolution,[],[f204,f125]) ).
fof(f310,plain,
less(n0,n1),
inference(resolution,[],[f247,f201]) ).
fof(f311,plain,
less(n1,n2),
inference(resolution,[],[f247,f203]) ).
fof(f312,plain,
less(n2,n3),
inference(resolution,[],[f247,f205]) ).
fof(f317,plain,
~ less(n2,n1),
inference(resolution,[],[f311,f219]) ).
fof(f328,plain,
( less(n2,n0)
| ~ spl12_1 ),
inference(superposition,[],[f312,f284]) ).
fof(f333,plain,
( $false
| ~ spl12_1 ),
inference(forward_subsumption_resolution,[],[f328,f199]) ).
fof(f334,plain,
~ spl12_1,
inference(avatar_contradiction_clause,[],[f333]) ).
fof(f338,plain,
less_or_equal(n0,n1),
inference(resolution,[],[f198,f310]) ).
fof(f347,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n2),n1)
| ~ stoppedIn(X0,X1,n2) ),
inference(resolution,[],[f202,f125]) ).
fof(f349,plain,
! [X0,X1] :
( less(sK3(X0,X1,n2),n1)
| n1 = sK3(X0,X1,n2)
| ~ stoppedIn(X0,X1,n2) ),
inference(resolution,[],[f347,f196]) ).
fof(f350,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,[],[f256,f221]) ).
fof(f353,definition,
( spl12_4
<=> ! [X1] :
( ~ less(n0,X1)
| stoppedIn(n0,filling,plus(n0,X1))
| holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl12_4])],[avatar_definition]) ).
fof(f354,plain,
( ! [X1] :
( holdsAt(waterLevel(plus(n0,X1)),plus(n0,X1))
| stoppedIn(n0,filling,plus(n0,X1))
| ~ less(n0,X1) )
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f356,definition,
( spl12_5
<=> ! [X0] :
( ~ happens(X0,n0)
| ~ initiates(X0,filling,n0) ) ),
introduced(definition,[new_symbols(definition,[spl12_5])],[avatar_definition]) ).
fof(f357,plain,
( ! [X0] :
( ~ initiates(X0,filling,n0)
| ~ happens(X0,n0) )
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f358,plain,
( spl12_4
| spl12_5 ),
inference(avatar_split_clause,[],[f350,f356,f353]) ).
fof(f365,plain,
! [X0,X1] :
( less(sK3(X0,X1,n3),n2)
| n2 = sK3(X0,X1,n3)
| ~ stoppedIn(X0,X1,n3) ),
inference(resolution,[],[f306,f196]) ).
fof(f366,plain,
less(n0,n2),
inference(resolution,[],[f338,f203]) ).
fof(f446,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n2),n0)
| ~ stoppedIn(X0,X1,n2)
| n1 = sK3(X0,X1,n2) ),
inference(resolution,[],[f349,f200]) ).
fof(f449,plain,
( ~ happens(tapOn,n0)
| ~ spl12_5 ),
inference(resolution,[],[f233,f357]) ).
fof(f450,plain,
! [X0] :
( holdsAt(filling,plus(X0,n1))
| ~ happens(tapOn,X0) ),
inference(resolution,[],[f233,f137]) ).
fof(f451,plain,
( $false
| ~ spl12_5 ),
inference(forward_subsumption_resolution,[],[f449,f243]) ).
fof(f452,plain,
~ spl12_5,
inference(avatar_contradiction_clause,[],[f451]) ).
fof(f454,plain,
( ! [X0,X1] :
( ~ holdsAt(waterLevel(X1),plus(n0,X0))
| ~ less(n0,X0)
| stoppedIn(n0,filling,plus(n0,X0))
| plus(n0,X0) = X1 )
| ~ spl12_4 ),
inference(resolution,[],[f354,f176]) ).
fof(f457,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| ~ less(n0,n1)
| ~ spl12_4 ),
inference(superposition,[],[f354,f186]) ).
fof(f458,plain,
( holdsAt(waterLevel(n3),n3)
| stoppedIn(n0,filling,n3)
| ~ less(n0,n3)
| ~ spl12_4 ),
inference(superposition,[],[f354,f188]) ).
fof(f463,plain,
( holdsAt(sF11,n3)
| stoppedIn(n0,filling,n3)
| ~ less(n0,n3)
| ~ spl12_4 ),
inference(forward_demodulation,[],[f458,f250]) ).
fof(f464,plain,
( holdsAt(waterLevel(n1),n1)
| stoppedIn(n0,filling,n1)
| ~ spl12_4 ),
inference(forward_subsumption_resolution,[],[f457,f310]) ).
fof(f467,definition,
( spl12_14
<=> stoppedIn(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_14])],[avatar_definition]) ).
fof(f468,plain,
( ~ stoppedIn(n0,filling,n2)
| spl12_14 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f469,plain,
( stoppedIn(n0,filling,n2)
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f475,plain,
( stoppedIn(n0,filling,n3)
| ~ less(n0,n3)
| ~ spl12_4 ),
inference(forward_subsumption_resolution,[],[f463,f251]) ).
fof(f477,definition,
( spl12_16
<=> stoppedIn(n0,filling,n1) ),
introduced(definition,[new_symbols(definition,[spl12_16])],[avatar_definition]) ).
fof(f479,plain,
( stoppedIn(n0,filling,n1)
| ~ spl12_16 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f481,definition,
( spl12_17
<=> holdsAt(waterLevel(n1),n1) ),
introduced(definition,[new_symbols(definition,[spl12_17])],[avatar_definition]) ).
fof(f483,plain,
( holdsAt(waterLevel(n1),n1)
| ~ spl12_17 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f484,plain,
( spl12_16
| spl12_17
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f464,f353,f481,f477]) ).
fof(f487,definition,
( spl12_18
<=> less(n0,n3) ),
introduced(definition,[new_symbols(definition,[spl12_18])],[avatar_definition]) ).
fof(f489,plain,
( ~ less(n0,n3)
| spl12_18 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f491,definition,
( spl12_19
<=> stoppedIn(n0,filling,n3) ),
introduced(definition,[new_symbols(definition,[spl12_19])],[avatar_definition]) ).
fof(f493,plain,
( stoppedIn(n0,filling,n3)
| ~ spl12_19 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f494,plain,
( ~ spl12_18
| spl12_19
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f475,f353,f491,f487]) ).
fof(f500,plain,
( n0 = n3
| spl12_18 ),
inference(resolution,[],[f489,f266]) ).
fof(f501,plain,
( $false
| spl12_1
| spl12_18 ),
inference(forward_subsumption_resolution,[],[f500,f283]) ).
fof(f502,plain,
( spl12_1
| spl12_18 ),
inference(avatar_contradiction_clause,[],[f501]) ).
fof(f507,plain,
( n0 = sK3(n0,filling,n1)
| ~ spl12_16 ),
inference(resolution,[],[f479,f295]) ).
fof(f509,plain,
( less(n0,n0)
| ~ stoppedIn(n0,filling,n1)
| ~ spl12_16 ),
inference(superposition,[],[f126,f507]) ).
fof(f511,plain,
( ~ stoppedIn(n0,filling,n1)
| ~ spl12_16 ),
inference(forward_subsumption_resolution,[],[f509,f248]) ).
fof(f512,plain,
( $false
| ~ spl12_16 ),
inference(forward_subsumption_resolution,[],[f511,f479]) ).
fof(f513,plain,
~ spl12_16,
inference(avatar_contradiction_clause,[],[f512]) ).
fof(f515,plain,
( ! [X0] :
( ~ holdsAt(waterLevel(X0),n1)
| n1 = X0 )
| ~ spl12_17 ),
inference(resolution,[],[f483,f176]) ).
fof(f524,plain,
( ~ holdsAt(sF11,n1)
| n1 = n3
| ~ spl12_17 ),
inference(superposition,[],[f515,f250]) ).
fof(f526,definition,
( spl12_23
<=> n1 = n3 ),
introduced(definition,[new_symbols(definition,[spl12_23])],[avatar_definition]) ).
fof(f528,plain,
( n1 = n3
| ~ spl12_23 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f530,definition,
( spl12_24
<=> holdsAt(sF11,n1) ),
introduced(definition,[new_symbols(definition,[spl12_24])],[avatar_definition]) ).
fof(f532,plain,
( ~ holdsAt(sF11,n1)
| spl12_24 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f533,plain,
( spl12_23
| ~ spl12_24
| ~ spl12_17 ),
inference(avatar_split_clause,[],[f524,f481,f530,f526]) ).
fof(f586,plain,
! [X0,X1] :
( less_or_equal(sK3(X0,X1,n3),n1)
| ~ stoppedIn(X0,X1,n3)
| n2 = sK3(X0,X1,n3) ),
inference(resolution,[],[f365,f202]) ).
fof(f676,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,[],[f446,f196]) ).
fof(f677,plain,
! [X0,X1] :
( ~ stoppedIn(X0,X1,n2)
| n1 = sK3(X0,X1,n2)
| n0 = sK3(X0,X1,n2) ),
inference(forward_subsumption_resolution,[],[f676,f199]) ).
fof(f678,plain,
( n1 = sK3(n0,filling,n2)
| n0 = sK3(n0,filling,n2)
| ~ spl12_14 ),
inference(resolution,[],[f677,f469]) ).
fof(f680,definition,
( spl12_31
<=> n0 = sK3(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_31])],[avatar_definition]) ).
fof(f682,plain,
( n0 = sK3(n0,filling,n2)
| ~ spl12_31 ),
inference(avatar_component_clause,[],[f680]) ).
fof(f684,definition,
( spl12_32
<=> n1 = sK3(n0,filling,n2) ),
introduced(definition,[new_symbols(definition,[spl12_32])],[avatar_definition]) ).
fof(f686,plain,
( n1 = sK3(n0,filling,n2)
| ~ spl12_32 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f687,plain,
( spl12_31
| spl12_32
| ~ spl12_14 ),
inference(avatar_split_clause,[],[f678,f467,f684,f680]) ).
fof(f691,plain,
( less(n0,n0)
| ~ stoppedIn(n0,filling,n2)
| ~ spl12_31 ),
inference(superposition,[],[f126,f682]) ).
fof(f693,plain,
( ~ stoppedIn(n0,filling,n2)
| ~ spl12_31 ),
inference(forward_subsumption_resolution,[],[f691,f248]) ).
fof(f694,plain,
( $false
| ~ spl12_14
| ~ spl12_31 ),
inference(forward_subsumption_resolution,[],[f693,f469]) ).
fof(f695,plain,
( ~ spl12_14
| ~ spl12_31 ),
inference(avatar_contradiction_clause,[],[f694]) ).
fof(f752,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,[],[f586,f196]) ).
fof(f769,plain,
! [X0] :
( less(n1,X0)
| n1 = X0
| n0 = X0
| less(X0,n0) ),
inference(resolution,[],[f292,f196]) ).
fof(f770,plain,
! [X0] :
( less(n1,X0)
| n1 = X0
| n0 = X0 ),
inference(forward_subsumption_resolution,[],[f769,f199]) ).
fof(f773,plain,
! [X0] :
( ~ less(X0,n1)
| n0 = X0
| n1 = X0 ),
inference(resolution,[],[f770,f219]) ).
fof(f801,plain,
( holdsAt(filling,n1)
| ~ happens(tapOn,n0) ),
inference(superposition,[],[f450,f186]) ).
fof(f810,plain,
holdsAt(filling,n1),
inference(forward_subsumption_resolution,[],[f801,f243]) ).
fof(f914,plain,
( ! [X0] :
( ~ holdsAt(waterLevel(X0),n2)
| ~ less(n0,n2)
| stoppedIn(n0,filling,n2)
| n2 = X0 )
| ~ spl12_4 ),
inference(superposition,[],[f454,f187]) ).
fof(f1098,definition,
( spl12_47
<=> n0 = n1 ),
introduced(definition,[new_symbols(definition,[spl12_47])],[avatar_definition]) ).
fof(f1099,plain,
( n0 != n1
| spl12_47 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f1100,plain,
( n0 = n1
| ~ spl12_47 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f1115,plain,
( ! [X0] :
( ~ holdsAt(waterLevel(X0),n2)
| stoppedIn(n0,filling,n2)
| n2 = X0 )
| ~ spl12_4 ),
inference(forward_subsumption_resolution,[],[f914,f366]) ).
fof(f1123,plain,
( ! [X0] :
( ~ holdsAt(waterLevel(X0),n2)
| n2 = X0 )
| ~ spl12_4
| spl12_14 ),
inference(forward_subsumption_resolution,[],[f1115,f468]) ).
fof(f1139,plain,
( ~ holdsAt(filling,n1)
| ~ spl12_47 ),
inference(superposition,[],[f222,f1100]) ).
fof(f1182,plain,
( $false
| ~ spl12_47 ),
inference(forward_subsumption_resolution,[],[f1139,f810]) ).
fof(f1183,plain,
~ spl12_47,
inference(avatar_contradiction_clause,[],[f1182]) ).
fof(f1206,definition,
( spl12_56
<=> holdsAt(sF11,n2) ),
introduced(definition,[new_symbols(definition,[spl12_56])],[avatar_definition]) ).
fof(f1207,plain,
( holdsAt(sF11,n2)
| ~ spl12_56 ),
inference(avatar_component_clause,[],[f1206]) ).
fof(f1208,plain,
( ~ holdsAt(sF11,n2)
| spl12_56 ),
inference(avatar_component_clause,[],[f1206]) ).
fof(f1231,plain,
( ~ holdsAt(sF11,n2)
| n3 = n2
| ~ spl12_4
| spl12_14 ),
inference(superposition,[],[f1123,f250]) ).
fof(f1283,plain,
( less(n2,n1)
| ~ spl12_23 ),
inference(superposition,[],[f312,f528]) ).
fof(f1299,plain,
( $false
| ~ spl12_23 ),
inference(forward_subsumption_resolution,[],[f1283,f317]) ).
fof(f1300,plain,
~ spl12_23,
inference(avatar_contradiction_clause,[],[f1299]) ).
fof(f1408,definition,
( spl12_63
<=> n0 = n2 ),
introduced(definition,[new_symbols(definition,[spl12_63])],[avatar_definition]) ).
fof(f1409,plain,
( n0 != n2
| spl12_63 ),
inference(avatar_component_clause,[],[f1408]) ).
fof(f1410,plain,
( n0 = n2
| ~ spl12_63 ),
inference(avatar_component_clause,[],[f1408]) ).
fof(f1427,plain,
( less(n1,n0)
| ~ spl12_63 ),
inference(superposition,[],[f311,f1410]) ).
fof(f1470,plain,
( $false
| ~ spl12_63 ),
inference(forward_subsumption_resolution,[],[f1427,f199]) ).
fof(f1471,plain,
~ spl12_63,
inference(avatar_contradiction_clause,[],[f1470]) ).
fof(f1623,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,[],[f752,f773]) ).
fof(f1627,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,[],[f1623]) ).
fof(f1653,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(f1656,plain,
! [X2,X0,X1] :
( holdsAt(sF11,sK3(X0,X1,X2))
| ~ stoppedIn(X0,X1,X2)
| n0 = sK3(X0,X1,X2) ),
inference(forward_demodulation,[],[f1653,f250]) ).
fof(f1658,plain,
( holdsAt(sF11,n1)
| ~ stoppedIn(n0,filling,n2)
| n0 = n1
| ~ spl12_32 ),
inference(superposition,[],[f1656,f686]) ).
fof(f1659,plain,
( ~ stoppedIn(n0,filling,n2)
| n0 = n1
| spl12_24
| ~ spl12_32 ),
inference(forward_subsumption_resolution,[],[f1658,f532]) ).
fof(f1660,plain,
( n0 = n1
| ~ spl12_14
| spl12_24
| ~ spl12_32 ),
inference(forward_subsumption_resolution,[],[f1659,f469]) ).
fof(f1661,plain,
( $false
| ~ spl12_14
| spl12_24
| ~ spl12_32
| spl12_47 ),
inference(forward_subsumption_resolution,[],[f1660,f1099]) ).
fof(f1662,plain,
( ~ spl12_14
| spl12_24
| ~ spl12_32
| spl12_47 ),
inference(avatar_contradiction_clause,[],[f1661]) ).
fof(f1718,plain,
( n1 = sK3(n0,filling,n3)
| n2 = sK3(n0,filling,n3)
| n0 = sK3(n0,filling,n3)
| ~ spl12_19 ),
inference(resolution,[],[f1627,f493]) ).
fof(f1734,definition,
( spl12_84
<=> n0 = sK3(n0,filling,n3) ),
introduced(definition,[new_symbols(definition,[spl12_84])],[avatar_definition]) ).
fof(f1736,plain,
( n0 = sK3(n0,filling,n3)
| ~ spl12_84 ),
inference(avatar_component_clause,[],[f1734]) ).
fof(f1738,definition,
( spl12_85
<=> n2 = sK3(n0,filling,n3) ),
introduced(definition,[new_symbols(definition,[spl12_85])],[avatar_definition]) ).
fof(f1740,plain,
( n2 = sK3(n0,filling,n3)
| ~ spl12_85 ),
inference(avatar_component_clause,[],[f1738]) ).
fof(f1742,definition,
( spl12_86
<=> n1 = sK3(n0,filling,n3) ),
introduced(definition,[new_symbols(definition,[spl12_86])],[avatar_definition]) ).
fof(f1744,plain,
( n1 = sK3(n0,filling,n3)
| ~ spl12_86 ),
inference(avatar_component_clause,[],[f1742]) ).
fof(f1745,plain,
( spl12_84
| spl12_85
| spl12_86
| ~ spl12_19 ),
inference(avatar_split_clause,[],[f1718,f491,f1742,f1738,f1734]) ).
fof(f1753,plain,
( less(n0,n0)
| ~ stoppedIn(n0,filling,n3)
| ~ spl12_84 ),
inference(superposition,[],[f126,f1736]) ).
fof(f1760,plain,
( ~ stoppedIn(n0,filling,n3)
| ~ spl12_84 ),
inference(forward_subsumption_resolution,[],[f1753,f248]) ).
fof(f1763,plain,
( $false
| ~ spl12_19
| ~ spl12_84 ),
inference(forward_subsumption_resolution,[],[f1760,f493]) ).
fof(f1764,plain,
( ~ spl12_19
| ~ spl12_84 ),
inference(avatar_contradiction_clause,[],[f1763]) ).
fof(f1774,plain,
( holdsAt(sF11,n1)
| ~ stoppedIn(n0,filling,n3)
| n0 = n1
| ~ spl12_86 ),
inference(superposition,[],[f1656,f1744]) ).
fof(f1777,plain,
( ~ stoppedIn(n0,filling,n3)
| n0 = n1
| spl12_24
| ~ spl12_86 ),
inference(forward_subsumption_resolution,[],[f1774,f532]) ).
fof(f1781,plain,
( n0 = n1
| ~ spl12_19
| spl12_24
| ~ spl12_86 ),
inference(forward_subsumption_resolution,[],[f1777,f493]) ).
fof(f1782,plain,
( $false
| ~ spl12_19
| spl12_24
| spl12_47
| ~ spl12_86 ),
inference(forward_subsumption_resolution,[],[f1781,f1099]) ).
fof(f1783,plain,
( ~ spl12_19
| spl12_24
| spl12_47
| ~ spl12_86 ),
inference(avatar_contradiction_clause,[],[f1782]) ).
fof(f1792,plain,
( holdsAt(sF11,n2)
| ~ stoppedIn(n0,filling,n3)
| n0 = n2
| ~ spl12_85 ),
inference(superposition,[],[f1656,f1740]) ).
fof(f1795,plain,
( ~ stoppedIn(n0,filling,n3)
| n0 = n2
| spl12_56
| ~ spl12_85 ),
inference(forward_subsumption_resolution,[],[f1792,f1208]) ).
fof(f1799,plain,
( n0 = n2
| ~ spl12_19
| spl12_56
| ~ spl12_85 ),
inference(forward_subsumption_resolution,[],[f1795,f493]) ).
fof(f1800,plain,
( $false
| ~ spl12_19
| spl12_56
| spl12_63
| ~ spl12_85 ),
inference(forward_subsumption_resolution,[],[f1799,f1409]) ).
fof(f1801,plain,
( ~ spl12_19
| spl12_56
| spl12_63
| ~ spl12_85 ),
inference(avatar_contradiction_clause,[],[f1800]) ).
fof(f1802,plain,
( n3 = n2
| ~ spl12_4
| spl12_14
| ~ spl12_56 ),
inference(forward_subsumption_resolution,[],[f1231,f1207]) ).
fof(f1810,plain,
( ~ holdsAt(sF11,n2)
| ~ spl12_4
| spl12_14
| ~ spl12_56 ),
inference(superposition,[],[f251,f1802]) ).
fof(f1843,plain,
( $false
| ~ spl12_4
| spl12_14
| ~ spl12_56 ),
inference(forward_subsumption_resolution,[],[f1810,f1207]) ).
fof(f1844,plain,
( ~ spl12_4
| spl12_14
| ~ spl12_56 ),
inference(avatar_contradiction_clause,[],[f1843]) ).
cnf(s3,plain,
~ spl12_1,
inference(sat_conversion,[],[f334]) ).
cnf(s4,plain,
( spl12_4
| spl12_5 ),
inference(sat_conversion,[],[f358]) ).
cnf(s10,plain,
~ spl12_5,
inference(sat_conversion,[],[f452]) ).
cnf(s12,plain,
( ~ spl12_4
| spl12_16
| spl12_17 ),
inference(sat_conversion,[],[f484]) ).
cnf(s13,plain,
( ~ spl12_4
| ~ spl12_18
| spl12_19 ),
inference(sat_conversion,[],[f494]) ).
cnf(s15,plain,
( spl12_1
| spl12_18 ),
inference(sat_conversion,[],[f502]) ).
cnf(s17,plain,
~ spl12_16,
inference(sat_conversion,[],[f513]) ).
cnf(s19,plain,
( ~ spl12_17
| spl12_23
| ~ spl12_24 ),
inference(sat_conversion,[],[f533]) ).
cnf(s25,plain,
( ~ spl12_14
| spl12_31
| spl12_32 ),
inference(sat_conversion,[],[f687]) ).
cnf(s26,plain,
( ~ spl12_14
| ~ spl12_31 ),
inference(sat_conversion,[],[f695]) ).
cnf(s47,plain,
~ spl12_47,
inference(sat_conversion,[],[f1183]) ).
cnf(s59,plain,
~ spl12_23,
inference(sat_conversion,[],[f1300]) ).
cnf(s76,plain,
~ spl12_63,
inference(sat_conversion,[],[f1471]) ).
cnf(s85,plain,
( ~ spl12_14
| spl12_24
| ~ spl12_32
| spl12_47 ),
inference(sat_conversion,[],[f1662]) ).
cnf(s89,plain,
( ~ spl12_19
| spl12_84
| spl12_85
| spl12_86 ),
inference(sat_conversion,[],[f1745]) ).
cnf(s90,plain,
( ~ spl12_19
| ~ spl12_84 ),
inference(sat_conversion,[],[f1764]) ).
cnf(s91,plain,
( ~ spl12_19
| spl12_24
| spl12_47
| ~ spl12_86 ),
inference(sat_conversion,[],[f1783]) ).
cnf(s92,plain,
( ~ spl12_19
| spl12_56
| spl12_63
| ~ spl12_85 ),
inference(sat_conversion,[],[f1801]) ).
cnf(s96,plain,
( ~ spl12_4
| spl12_14
| ~ spl12_56 ),
inference(sat_conversion,[],[f1844]) ).
cnf(s111,plain,
( ~ spl12_17
| ~ spl12_24 ),
inference(rat,[],[s19,s59]) ).
cnf(s113,plain,
( ~ spl12_4
| spl12_17 ),
inference(rat,[],[s12,s17]) ).
cnf(s115,plain,
spl12_4,
inference(rat,[],[s4,s10]) ).
cnf(s117,plain,
spl12_17,
inference(rat,[],[s113,s115]) ).
cnf(s118,plain,
~ spl12_24,
inference(rat,[],[s111,s117]) ).
cnf(s125,plain,
spl12_18,
inference(rat,[],[s15,s3]) ).
cnf(s126,plain,
spl12_19,
inference(rat,[],[s13,s115,s125]) ).
cnf(s127,plain,
~ spl12_86,
inference(rat,[],[s91,s118,s47,s126]) ).
cnf(s128,plain,
~ spl12_84,
inference(rat,[],[s90,s126]) ).
cnf(s129,plain,
spl12_85,
inference(rat,[],[s89,s127,s126,s128]) ).
cnf(s130,plain,
spl12_56,
inference(rat,[],[s92,s126,s76,s129]) ).
cnf(s132,plain,
spl12_14,
inference(rat,[],[s96,s115,s130]) ).
cnf(s134,plain,
~ spl12_32,
inference(rat,[],[s85,s47,s118,s132]) ).
cnf(s135,plain,
~ spl12_31,
inference(rat,[],[s26,s132]) ).
cnf(s136,plain,
$false,
inference(rat,[],[s25,s134,s135,s132]) ).
fof(f1848,plain,
$false,
inference(avatar_sat_refutation,[],[s136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR006+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n014.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 22:05:15 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 8.69/2.14 % (2235092)Detected formulas, will run a generic FOF schedule.
% 8.69/2.14 % (2235186)dis-21_1_sil=8000:lcm=predicate:random_seed=3657750332: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)
% 8.69/2.14 % (2235178)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=2405516109:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.69/2.14 % (2235179)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=46749515:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.69/2.14 % (2235177)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=3801468956:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.69/2.14 % (2235182)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2598888371:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.69/2.14 % (2235182)Refutation not found, incomplete strategy
% 8.69/2.14 % (2235182)------------------------------
% 8.69/2.14 % (2235182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.14 % (2235182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.14 % (2235182)CaDiCaL version: 2.1.3
% 8.69/2.14 % (2235182)Termination reason: Refutation not found, incomplete strategy
% 8.69/2.14 % (2235182)Time elapsed: 0.002 s
% 8.69/2.14 % (2235182)Peak memory usage: 88 MB
% 8.69/2.14 % (2235186)Instruction limit reached!
% 8.69/2.14 % (2235186)------------------------------
% 8.69/2.14 % (2235186)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.14 % (2235186)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.14 % (2235186)CaDiCaL version: 2.1.3
% 8.69/2.14 % (2235186)Termination reason: Instruction limit
% 8.69/2.14 % (2235186)Termination phase: Saturation
% 8.69/2.14 % (2235186)Time elapsed: 0.042 s
% 8.69/2.14 % (2235186)Peak memory usage: 89 MB
% 8.69/2.14 % (2235186)Instructions burned: 130 (million)
% 8.69/2.14 % (2235183)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1194849208:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.69/2.14 % (2235184)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1887807832:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.69/2.14 % (2235183)Refutation not found, incomplete strategy
% 8.69/2.14 % (2235183)------------------------------
% 8.69/2.14 % (2235183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.14 % (2235183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.14 % (2235183)CaDiCaL version: 2.1.3
% 8.69/2.14 % (2235183)Termination reason: Refutation not found, incomplete strategy
% 8.69/2.14 % (2235183)Time elapsed: 0.002 s
% 8.69/2.14 % (2235183)Peak memory usage: 88 MB
% 8.69/2.14 % (2235183)Instructions burned: 1 (million)
% 8.69/2.14 % (2235184)Instruction limit reached!
% 8.69/2.14 % (2235184)------------------------------
% 8.69/2.14 % (2235184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.14 % (2235184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.14 % (2235184)CaDiCaL version: 2.1.3
% 8.69/2.14 % (2235184)Termination reason: Instruction limit
% 8.69/2.14 % (2235184)Termination phase: Saturation
% 8.69/2.14 % (2235184)Time elapsed: 0.114 s
% 8.69/2.14 % (2235184)Peak memory usage: 90 MB
% 8.69/2.14 % (2235184)Instructions burned: 139 (million)
% 8.69/2.14 % (2235228)lrs+10_1_sil=8000:sp=occurrence:random_seed=3201292895:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.69/2.14 % (2235228)Instruction limit reached!
% 8.69/2.14 % (2235228)------------------------------
% 8.69/2.14 % (2235228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.14 % (2235228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.14 % (2235228)CaDiCaL version: 2.1.3
% 8.69/2.14 % (2235228)Termination reason: Instruction limit
% 8.69/2.14 % (2235228)Termination phase: Saturation
% 8.69/2.14 % (2235228)Time elapsed: 0.138 s
% 8.69/2.14 % (2235228)Peak memory usage: 90 MB
% 8.69/2.14 % (2235228)Instructions burned: 287 (million)
% 8.69/2.14 % (2235182)------------------------------
% 8.69/2.14 % (2235182)------------------------------
% 8.69/2.14 % (2235183)------------------------------
% 8.69/2.14 % (2235183)------------------------------
% 8.69/2.14 % (2235256)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4257172261:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.69/2.14 % (2235256)Refutation not found, incomplete strategy
% 8.69/2.14 % (2235256)------------------------------
% 8.69/2.14 % (2235256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.14 % (2235256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.14 % (2235256)CaDiCaL version: 2.1.3
% 8.69/2.14 % (2235256)Termination reason: Refutation not found, incomplete strategy
% 8.69/2.14 % (2235256)Time elapsed: 0.003 s
% 8.69/2.14 % (2235256)Peak memory usage: 88 MB
% 8.69/2.14 % (2235256)Instructions burned: 1 (million)
% 8.69/2.14 % (2235266)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1822784938:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 8.69/2.14 % (2235268)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=1113541163:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 8.69/2.14 % (2235270)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3462235317:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 8.69/2.14 % (2235266)Instruction limit reached!
% 8.69/2.14 % (2235266)------------------------------
% 8.69/2.14 % (2235266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.14 % (2235266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.14 % (2235266)CaDiCaL version: 2.1.3
% 8.69/2.14 % (2235266)Termination reason: Instruction limit
% 8.69/2.14 % (2235266)Termination phase: Saturation
% 8.69/2.14 % (2235266)Time elapsed: 0.148 s
% 8.69/2.14 % (2235266)Peak memory usage: 90 MB
% 8.69/2.14 % (2235266)Instructions burned: 327 (million)
% 8.69/2.14 % (2235256)------------------------------
% 8.69/2.14 % (2235256)------------------------------
% 8.69/2.14 % (2235278)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=669765683:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 8.69/2.14 % (2235268)Instruction limit reached!
% 8.69/2.14 % (2235268)------------------------------
% 8.69/2.14 % (2235268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.14 % (2235268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.14 % (2235268)CaDiCaL version: 2.1.3
% 8.69/2.14 % (2235268)Termination reason: Instruction limit
% 8.69/2.14 % (2235268)Termination phase: Saturation
% 8.69/2.14 % (2235268)Time elapsed: 0.173 s
% 8.69/2.14 % (2235268)Peak memory usage: 90 MB
% 8.69/2.14 % (2235268)Instructions burned: 249 (million)
% 8.69/2.14 % (2235270)Instruction limit reached!
% 8.69/2.14 % (2235270)------------------------------
% 8.69/2.14 % (2235270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.14 % (2235270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.14 % (2235270)CaDiCaL version: 2.1.3
% 8.69/2.14 % (2235270)Termination reason: Instruction limit
% 8.69/2.14 % (2235270)Termination phase: Saturation
% 8.69/2.14 % (2235270)Time elapsed: 0.186 s
% 8.69/2.14 % (2235270)Peak memory usage: 89 MB
% 8.69/2.14 % (2235270)Instructions burned: 294 (million)
% 8.69/2.14 % (2235179)Refutation not found, incomplete strategy
% 8.69/2.14 % (2235179)------------------------------
% 8.69/2.14 % (2235179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.14 % (2235179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.14 % (2235179)CaDiCaL version: 2.1.3
% 8.69/2.14 % (2235179)Termination reason: Refutation not found, incomplete strategy
% 8.69/2.14 % (2235179)Time elapsed: 0.888 s
% 8.69/2.14 % (2235179)Peak memory usage: 128 MB
% 8.69/2.14 % (2235179)Instructions burned: 896 (million)
% 8.69/2.14 % (2235280)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1724658729:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 8.69/2.14 % (2235280)Refutation not found, incomplete strategy
% 8.69/2.14 % (2235280)------------------------------
% 8.69/2.14 % (2235280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.14 % (2235280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.14 % (2235280)CaDiCaL version: 2.1.3
% 8.69/2.14 % (2235280)Termination reason: Refutation not found, incomplete strategy
% 8.69/2.14 % (2235280)Time elapsed: 0.003 s
% 8.69/2.14 % (2235280)Peak memory usage: 88 MB
% 8.69/2.14 % (2235280)Instructions burned: 2 (million)
% 8.69/2.14 % (2235282)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1618628427:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 8.69/2.14 % (2235283)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=273000967:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 8.69/2.14 % (2235177)First to succeed.
% 8.69/2.14 % (2235283)Refutation not found, incomplete strategy
% 8.69/2.14 % (2235283)------------------------------
% 8.69/2.14 % (2235283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.14 % (2235283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.14 % (2235283)CaDiCaL version: 2.1.3
% 8.69/2.14 % (2235283)Termination reason: Refutation not found, incomplete strategy
% 8.69/2.14 % (2235283)Time elapsed: 0.009 s
% 8.69/2.14 % (2235283)Peak memory usage: 88 MB
% 8.69/2.14 % (2235283)Instructions burned: 12 (million)
% 8.69/2.14 % (2235177)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2235092"
% 8.69/2.14 % (2235282)Instruction limit reached!
% 8.69/2.14 % (2235282)------------------------------
% 8.69/2.14 % (2235282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.14 % (2235282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.14 % (2235282)CaDiCaL version: 2.1.3
% 8.69/2.14 % (2235282)Termination reason: Instruction limit
% 8.69/2.14 % (2235282)Termination phase: Saturation
% 8.69/2.14 % (2235282)Time elapsed: 0.065 s
% 8.69/2.14 % (2235282)Peak memory usage: 89 MB
% 8.69/2.14 % (2235282)Instructions burned: 127 (million)
% 8.69/2.14 % (2235178)Also succeeded, but the first one will report.
% 8.69/2.14 % (2235179)------------------------------
% 8.69/2.14 % (2235179)------------------------------
% 8.69/2.14 % (2235280)------------------------------
% 8.69/2.14 % (2235280)------------------------------
% 8.69/2.14 % (2235360)lrs+10_1_sil=8000:sp=occurrence:random_seed=3215491912:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 8.69/2.14 % (2235278)Also succeeded, but the first one will report.
% 8.69/2.14 % (2235283)------------------------------
% 8.69/2.14 % (2235283)------------------------------
% 8.69/2.14 % (2235379)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4248147245:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 8.69/2.14 % (2235379)Refutation not found, incomplete strategy
% 8.69/2.14 % (2235379)------------------------------
% 8.69/2.14 % (2235379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.14 % (2235379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.14 % (2235379)CaDiCaL version: 2.1.3
% 8.69/2.14 % (2235379)Termination reason: Refutation not found, incomplete strategy
% 8.69/2.14 % (2235379)Time elapsed: 0.002 s
% 8.69/2.14 % (2235379)Peak memory usage: 88 MB
% 8.69/2.14 % (2235379)Instructions burned: 1 (million)
% 8.69/2.14 % (2235177)Refutation found. Thanks to Tanya!
% 8.69/2.14 % SZS status Theorem for theBenchmark
% 8.69/2.14 % SZS output start Proof for theBenchmark
% See solution above
% 10.88/2.33 % (2235177)------------------------------
% 10.88/2.33 % (2235177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.88/2.33 % (2235177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.88/2.33 % (2235177)CaDiCaL version: 2.1.3
% 10.88/2.33 % (2235177)Termination reason: Refutation
% 10.88/2.33 % (2235177)Time elapsed: 1.047 s
% 10.88/2.33 % (2235177)Peak memory usage: 131 MB
% 10.88/2.33 % (2235177)Instructions burned: 1144 (million)
% 10.88/2.33 % (2235177)------------------------------
% 10.88/2.33 % (2235177)------------------------------
% 10.88/2.33 % (2235092)Success in time 1.458 s
% 10.88/2.33 % Vampire exiting
%------------------------------------------------------------------------------