TSTP Solution File: CSR008+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CSR008+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 04:56:44 EDT 2024
% Result : Theorem 2.26s 0.68s
% Output : Refutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 42
% Syntax : Number of formulae : 271 ( 69 unt; 0 def)
% Number of atoms : 835 ( 242 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 843 ( 279 ~; 322 |; 188 &)
% ( 31 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-4 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-3 aty)
% Number of variables : 478 ( 435 !; 43 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f34572,plain,
$false,
inference(subsumption_resolution,[],[f34311,f386]) ).
fof(f386,plain,
less_or_equal(n1,n2),
inference(unit_resulting_resolution,[],[f370,f243]) ).
fof(f243,plain,
! [X0,X1] :
( ~ less(X0,X1)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0,X1] :
( ( less_or_equal(X0,X1)
| ( X0 != X1
& ~ less(X0,X1) ) )
& ( X0 = X1
| less(X0,X1)
| ~ less_or_equal(X0,X1) ) ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X0,X1] :
( ( less_or_equal(X0,X1)
| ( X0 != X1
& ~ less(X0,X1) ) )
& ( X0 = X1
| less(X0,X1)
| ~ less_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
<=> ( X0 = X1
| less(X0,X1) ) ),
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X11,X12] :
( less_or_equal(X11,X12)
<=> ( X11 = X12
| less(X11,X12) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).
fof(f370,plain,
less(n1,n2),
inference(unit_resulting_resolution,[],[f304,f230]) ).
fof(f230,plain,
! [X0] :
( ~ less_or_equal(X0,n1)
| less(X0,n2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ( less(X0,n2)
| ~ less_or_equal(X0,n1) )
& ( less_or_equal(X0,n1)
| ~ less(X0,n2) ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( less(X0,n2)
<=> less_or_equal(X0,n1) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X11] :
( less(X11,n2)
<=> less_or_equal(X11,n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less2) ).
fof(f304,plain,
! [X1] : less_or_equal(X1,X1),
inference(equality_resolution,[],[f244]) ).
fof(f244,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f151]) ).
fof(f34311,plain,
~ less_or_equal(n1,n2),
inference(superposition,[],[f363,f34301]) ).
fof(f34301,plain,
n1 = n3,
inference(subsumption_resolution,[],[f34169,f30823]) ).
fof(f30823,plain,
~ happens(sK13(filling,n2,n0),n0),
inference(subsumption_resolution,[],[f30820,f7005]) ).
fof(f7005,plain,
holdsAt(filling,n1),
inference(forward_demodulation,[],[f7000,f208]) ).
fof(f208,plain,
n1 = plus(n0,n1),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
n1 = plus(n0,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).
fof(f7000,plain,
holdsAt(filling,plus(n0,n1)),
inference(unit_resulting_resolution,[],[f870,f948,f262]) ).
fof(f262,plain,
! [X2,X0,X1] :
( ~ initiates(X0,X2,X1)
| holdsAt(X2,plus(X1,n1))
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2] :
( holdsAt(X2,plus(X1,n1))
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X0,X1,X2] :
( holdsAt(X2,plus(X1,n1))
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ( initiates(X0,X2,X1)
& happens(X0,X1) )
=> holdsAt(X2,plus(X1,n1)) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X4,X1] :
( ( initiates(X3,X1,X4)
& happens(X3,X4) )
=> holdsAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_holds) ).
fof(f948,plain,
! [X0] : initiates(tapOn,filling,X0),
inference(unit_resulting_resolution,[],[f908,f301]) ).
fof(f301,plain,
! [X2,X0,X1] :
( ~ sP8(X2,X0,X1)
| initiates(X0,X1,X2) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0,X1,X2] :
( ( initiates(X0,X1,X2)
| ~ sP8(X2,X0,X1) )
& ( sP8(X2,X0,X1)
| ~ initiates(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0,X1,X2] :
( initiates(X0,X1,X2)
<=> sP8(X2,X0,X1) ),
inference(definition_folding,[],[f88,f131,f130,f129,f128]) ).
fof(f128,plain,
! [X1,X0,X2] :
( sP5(X1,X0,X2)
<=> ? [X4] :
( waterLevel(X4) = X1
& tapOff = X0
& holdsAt(waterLevel(X4),X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f129,plain,
! [X1,X0,X2] :
( sP6(X1,X0,X2)
<=> ? [X3] :
( waterLevel(X3) = X1
& overflow = X0
& holdsAt(waterLevel(X3),X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f130,plain,
! [X1,X0] :
( sP7(X1,X0)
<=> ( filling = X1
& tapOn = X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f131,plain,
! [X2,X0,X1] :
( sP8(X2,X0,X1)
<=> ( sP6(X1,X0,X2)
| sP5(X1,X0,X2)
| ( spilling = X1
& overflow = X0 )
| sP7(X1,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f88,plain,
! [X0,X1,X2] :
( initiates(X0,X1,X2)
<=> ( ? [X3] :
( waterLevel(X3) = X1
& overflow = X0
& holdsAt(waterLevel(X3),X2) )
| ? [X4] :
( waterLevel(X4) = X1
& tapOff = X0
& holdsAt(waterLevel(X4),X2) )
| ( spilling = X1
& overflow = X0 )
| ( filling = X1
& tapOn = X0 ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3,X1,X4] :
( initiates(X3,X1,X4)
<=> ( ? [X8] :
( waterLevel(X8) = X1
& overflow = X3
& holdsAt(waterLevel(X8),X4) )
| ? [X8] :
( waterLevel(X8) = X1
& tapOff = X3
& holdsAt(waterLevel(X8),X4) )
| ( spilling = X1
& overflow = X3 )
| ( filling = X1
& tapOn = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initiates_all_defn) ).
fof(f908,plain,
! [X0] : sP8(X0,tapOn,filling),
inference(unit_resulting_resolution,[],[f319,f285]) ).
fof(f285,plain,
! [X2,X0,X1] :
( ~ sP7(X2,X1)
| sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1,X2] :
( ( sP8(X0,X1,X2)
| ( ~ sP6(X2,X1,X0)
& ~ sP5(X2,X1,X0)
& ( spilling != X2
| overflow != X1 )
& ~ sP7(X2,X1) ) )
& ( sP6(X2,X1,X0)
| sP5(X2,X1,X0)
| ( spilling = X2
& overflow = X1 )
| sP7(X2,X1)
| ~ sP8(X0,X1,X2) ) ),
inference(rectify,[],[f177]) ).
fof(f177,plain,
! [X2,X0,X1] :
( ( sP8(X2,X0,X1)
| ( ~ sP6(X1,X0,X2)
& ~ sP5(X1,X0,X2)
& ( spilling != X1
| overflow != X0 )
& ~ sP7(X1,X0) ) )
& ( sP6(X1,X0,X2)
| sP5(X1,X0,X2)
| ( spilling = X1
& overflow = X0 )
| sP7(X1,X0)
| ~ sP8(X2,X0,X1) ) ),
inference(flattening,[],[f176]) ).
fof(f176,plain,
! [X2,X0,X1] :
( ( sP8(X2,X0,X1)
| ( ~ sP6(X1,X0,X2)
& ~ sP5(X1,X0,X2)
& ( spilling != X1
| overflow != X0 )
& ~ sP7(X1,X0) ) )
& ( sP6(X1,X0,X2)
| sP5(X1,X0,X2)
| ( spilling = X1
& overflow = X0 )
| sP7(X1,X0)
| ~ sP8(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f131]) ).
fof(f319,plain,
sP7(filling,tapOn),
inference(equality_resolution,[],[f318]) ).
fof(f318,plain,
! [X1] :
( sP7(filling,X1)
| tapOn != X1 ),
inference(equality_resolution,[],[f291]) ).
fof(f291,plain,
! [X0,X1] :
( sP7(X0,X1)
| filling != X0
| tapOn != X1 ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0,X1] :
( ( sP7(X0,X1)
| filling != X0
| tapOn != X1 )
& ( ( filling = X0
& tapOn = X1 )
| ~ sP7(X0,X1) ) ),
inference(rectify,[],[f180]) ).
fof(f180,plain,
! [X1,X0] :
( ( sP7(X1,X0)
| filling != X1
| tapOn != X0 )
& ( ( filling = X1
& tapOn = X0 )
| ~ sP7(X1,X0) ) ),
inference(flattening,[],[f179]) ).
fof(f179,plain,
! [X1,X0] :
( ( sP7(X1,X0)
| filling != X1
| tapOn != X0 )
& ( ( filling = X1
& tapOn = X0 )
| ~ sP7(X1,X0) ) ),
inference(nnf_transformation,[],[f130]) ).
fof(f870,plain,
happens(tapOn,n0),
inference(unit_resulting_resolution,[],[f307,f257]) ).
fof(f257,plain,
! [X0,X1] :
( ~ sP1(X1,X0)
| happens(X0,X1) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1] :
( ( happens(X0,X1)
| ~ sP1(X1,X0) )
& ( sP1(X1,X0)
| ~ happens(X0,X1) ) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( happens(X0,X1)
<=> sP1(X1,X0) ),
inference(definition_folding,[],[f78,f121,f120]) ).
fof(f120,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ( overflow = X0
& holdsAt(filling,X1)
& holdsAt(waterLevel(n3),X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f121,plain,
! [X1,X0] :
( sP1(X1,X0)
<=> ( sP0(X0,X1)
| ( n0 = X1
& tapOn = X0 ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f78,plain,
! [X0,X1] :
( happens(X0,X1)
<=> ( ( overflow = X0
& holdsAt(filling,X1)
& holdsAt(waterLevel(n3),X1) )
| ( n0 = X1
& tapOn = X0 ) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X3,X4] :
( happens(X3,X4)
<=> ( ( overflow = X3
& holdsAt(filling,X4)
& holdsAt(waterLevel(n3),X4) )
| ( n0 = X4
& tapOn = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_all_defn) ).
fof(f307,plain,
sP1(n0,tapOn),
inference(equality_resolution,[],[f306]) ).
fof(f306,plain,
! [X1] :
( sP1(n0,X1)
| tapOn != X1 ),
inference(equality_resolution,[],[f250]) ).
fof(f250,plain,
! [X0,X1] :
( sP1(X0,X1)
| n0 != X0
| tapOn != X1 ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ~ sP0(X1,X0)
& ( n0 != X0
| tapOn != X1 ) ) )
& ( sP0(X1,X0)
| ( n0 = X0
& tapOn = X1 )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f155]) ).
fof(f155,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ( ~ sP0(X0,X1)
& ( n0 != X1
| tapOn != X0 ) ) )
& ( sP0(X0,X1)
| ( n0 = X1
& tapOn = X0 )
| ~ sP1(X1,X0) ) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ( ~ sP0(X0,X1)
& ( n0 != X1
| tapOn != X0 ) ) )
& ( sP0(X0,X1)
| ( n0 = X1
& tapOn = X0 )
| ~ sP1(X1,X0) ) ),
inference(nnf_transformation,[],[f121]) ).
fof(f30820,plain,
( ~ holdsAt(filling,n1)
| ~ happens(sK13(filling,n2,n0),n0) ),
inference(superposition,[],[f30733,f208]) ).
fof(f30733,plain,
! [X0] :
( ~ holdsAt(filling,plus(X0,n1))
| ~ happens(sK13(filling,n2,n0),X0) ),
inference(resolution,[],[f30725,f261]) ).
fof(f261,plain,
! [X2,X0,X1] :
( ~ terminates(X0,X2,X1)
| ~ holdsAt(X2,plus(X1,n1))
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ terminates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ terminates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ( terminates(X0,X2,X1)
& happens(X0,X1) )
=> ~ holdsAt(X2,plus(X1,n1)) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X3,X4,X1] :
( ( terminates(X3,X1,X4)
& happens(X3,X4) )
=> ~ holdsAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_terminates_not_holds) ).
fof(f30725,plain,
! [X0] : terminates(sK13(filling,n2,n0),filling,X0),
inference(unit_resulting_resolution,[],[f30715,f282]) ).
fof(f282,plain,
! [X2,X0,X1] :
( ~ sP4(X1,X0)
| terminates(X0,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0,X1,X2] :
( ( terminates(X0,X1,X2)
| ~ sP4(X1,X0) )
& ( sP4(X1,X0)
| ~ terminates(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1,X2] :
( terminates(X0,X1,X2)
<=> sP4(X1,X0) ),
inference(definition_folding,[],[f87,f126,f125]) ).
fof(f125,plain,
! [X1,X0] :
( sP3(X1,X0)
<=> ( filling = X1
& tapOff = X0 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f126,plain,
! [X1,X0] :
( sP4(X1,X0)
<=> ( ( filling = X1
& overflow = X0 )
| sP3(X1,X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f87,plain,
! [X0,X1,X2] :
( terminates(X0,X1,X2)
<=> ( ( filling = X1
& overflow = X0 )
| ( filling = X1
& tapOff = X0 ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3,X1,X4] :
( terminates(X3,X1,X4)
<=> ( ( filling = X1
& overflow = X3 )
| ( filling = X1
& tapOff = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',terminates_all_defn) ).
fof(f30715,plain,
sP4(filling,sK13(filling,n2,n0)),
inference(unit_resulting_resolution,[],[f30426,f281]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ terminates(X0,X1,X2)
| sP4(X1,X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f30426,plain,
terminates(sK13(filling,n2,n0),filling,sK14(filling,n2,n0)),
inference(unit_resulting_resolution,[],[f30424,f269]) ).
fof(f269,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| terminates(sK13(X0,X1,X2),X0,sK14(X0,X1,X2)) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0,X1,X2] :
( ( terminates(sK13(X0,X1,X2),X0,sK14(X0,X1,X2))
& less(sK14(X0,X1,X2),X1)
& less(X2,sK14(X0,X1,X2))
& happens(sK13(X0,X1,X2),sK14(X0,X1,X2)) )
| ~ sP2(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f162,f163]) ).
fof(f163,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( terminates(X3,X0,X4)
& less(X4,X1)
& less(X2,X4)
& happens(X3,X4) )
=> ( terminates(sK13(X0,X1,X2),X0,sK14(X0,X1,X2))
& less(sK14(X0,X1,X2),X1)
& less(X2,sK14(X0,X1,X2))
& happens(sK13(X0,X1,X2),sK14(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f162,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( terminates(X3,X0,X4)
& less(X4,X1)
& less(X2,X4)
& happens(X3,X4) )
| ~ sP2(X0,X1,X2) ),
inference(rectify,[],[f161]) ).
fof(f161,plain,
! [X1,X2,X0] :
( ? [X3,X4] :
( terminates(X3,X1,X4)
& less(X4,X2)
& less(X0,X4)
& happens(X3,X4) )
| ~ sP2(X1,X2,X0) ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X1,X2,X0] :
( ? [X3,X4] :
( terminates(X3,X1,X4)
& less(X4,X2)
& less(X0,X4)
& happens(X3,X4) )
| ~ sP2(X1,X2,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f30424,plain,
sP2(filling,n2,n0),
inference(unit_resulting_resolution,[],[f30423,f270]) ).
fof(f270,plain,
! [X2,X0,X1] :
( ~ stoppedIn(X0,X1,X2)
| sP2(X1,X2,X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2] :
( sP2(X1,X2,X0)
| ~ stoppedIn(X0,X1,X2) ),
inference(definition_folding,[],[f115,f123]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( terminates(X3,X1,X4)
& less(X4,X2)
& less(X0,X4)
& happens(X3,X4) )
| ~ stoppedIn(X0,X1,X2) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1,X2] :
( stoppedIn(X0,X1,X2)
=> ? [X3,X4] :
( terminates(X3,X1,X4)
& less(X4,X2)
& less(X0,X4)
& happens(X3,X4) ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( stoppedIn(X0,X1,X2)
<=> ? [X3,X4] :
( terminates(X3,X1,X4)
& less(X4,X2)
& less(X0,X4)
& happens(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',stoppedin_defn) ).
fof(f30423,plain,
stoppedIn(n0,filling,n2),
inference(subsumption_resolution,[],[f30422,f191]) ).
fof(f191,plain,
~ holdsAt(waterLevel(n2),n2),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
~ holdsAt(waterLevel(n2),n2),
inference(flattening,[],[f56]) ).
fof(f56,negated_conjecture,
~ holdsAt(waterLevel(n2),n2),
inference(negated_conjecture,[],[f55]) ).
fof(f55,conjecture,
holdsAt(waterLevel(n2),n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_2) ).
fof(f30422,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2) ),
inference(forward_demodulation,[],[f30421,f205]) ).
fof(f205,plain,
n2 = plus(n0,n2),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n2 = plus(n0,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_2) ).
fof(f30421,plain,
( stoppedIn(n0,filling,n2)
| holdsAt(waterLevel(n2),plus(n0,n2)) ),
inference(forward_demodulation,[],[f30420,f205]) ).
fof(f30420,plain,
( stoppedIn(n0,filling,plus(n0,n2))
| holdsAt(waterLevel(n2),plus(n0,n2)) ),
inference(subsumption_resolution,[],[f30419,f6843]) ).
fof(f6843,plain,
sP18(filling,n0),
inference(unit_resulting_resolution,[],[f870,f948,f325]) ).
fof(f325,plain,
! [X2,X0,X1] :
( ~ initiates(X0,X2,X1)
| ~ happens(X0,X1)
| sP18(X2,X1) ),
inference(cnf_transformation,[],[f325_D]) ).
fof(f325_D,plain,
! [X1,X2] :
( ! [X0] :
( ~ initiates(X0,X2,X1)
| ~ happens(X0,X1) )
<=> ~ sP18(X2,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP18])]) ).
fof(f30419,plain,
( stoppedIn(n0,filling,plus(n0,n2))
| holdsAt(waterLevel(n2),plus(n0,n2))
| ~ sP18(filling,n0) ),
inference(subsumption_resolution,[],[f30408,f430]) ).
fof(f430,plain,
less(n0,n2),
inference(unit_resulting_resolution,[],[f405,f230]) ).
fof(f405,plain,
less_or_equal(n0,n1),
inference(unit_resulting_resolution,[],[f376,f243]) ).
fof(f376,plain,
less(n0,n1),
inference(unit_resulting_resolution,[],[f304,f232]) ).
fof(f232,plain,
! [X0] :
( ~ less_or_equal(X0,n0)
| less(X0,n1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ( less(X0,n1)
| ~ less_or_equal(X0,n0) )
& ( less_or_equal(X0,n0)
| ~ less(X0,n1) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( less(X0,n1)
<=> less_or_equal(X0,n0) ),
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X11] :
( less(X11,n1)
<=> less_or_equal(X11,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less1) ).
fof(f30408,plain,
( stoppedIn(n0,filling,plus(n0,n2))
| holdsAt(waterLevel(n2),plus(n0,n2))
| ~ less(n0,n2)
| ~ sP18(filling,n0) ),
inference(resolution,[],[f326,f7065]) ).
fof(f7065,plain,
trajectory(filling,n0,waterLevel(n2),n2),
inference(superposition,[],[f7057,f205]) ).
fof(f7057,plain,
! [X0] : trajectory(filling,n0,waterLevel(plus(n0,X0)),X0),
inference(forward_demodulation,[],[f7052,f6924]) ).
fof(f6924,plain,
n0 = sK17(waterLevel(n0),tapOff,n0),
inference(forward_demodulation,[],[f6916,f6869]) ).
fof(f6869,plain,
n0 = sK16(waterLevel(n0),overflow,n0),
inference(unit_resulting_resolution,[],[f196,f6864,f265]) ).
fof(f265,plain,
! [X2,X0,X1] :
( ~ holdsAt(waterLevel(X2),X0)
| X1 = X2
| ~ holdsAt(waterLevel(X1),X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ holdsAt(waterLevel(X2),X0)
| ~ holdsAt(waterLevel(X1),X0) ),
inference(flattening,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ holdsAt(waterLevel(X2),X0)
| ~ holdsAt(waterLevel(X1),X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ( holdsAt(waterLevel(X2),X0)
& holdsAt(waterLevel(X1),X0) )
=> X1 = X2 ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X4,X9,X10] :
( ( holdsAt(waterLevel(X10),X4)
& holdsAt(waterLevel(X9),X4) )
=> X9 = X10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',same_waterLevel) ).
fof(f6864,plain,
holdsAt(waterLevel(sK16(waterLevel(n0),overflow,n0)),n0),
inference(unit_resulting_resolution,[],[f1193,f292]) ).
fof(f292,plain,
! [X2,X0,X1] :
( ~ sP6(X0,X1,X2)
| holdsAt(waterLevel(sK16(X0,X1,X2)),X2) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0,X1,X2] :
( ( sP6(X0,X1,X2)
| ! [X3] :
( waterLevel(X3) != X0
| overflow != X1
| ~ holdsAt(waterLevel(X3),X2) ) )
& ( ( waterLevel(sK16(X0,X1,X2)) = X0
& overflow = X1
& holdsAt(waterLevel(sK16(X0,X1,X2)),X2) )
| ~ sP6(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f183,f184]) ).
fof(f184,plain,
! [X0,X1,X2] :
( ? [X4] :
( waterLevel(X4) = X0
& overflow = X1
& holdsAt(waterLevel(X4),X2) )
=> ( waterLevel(sK16(X0,X1,X2)) = X0
& overflow = X1
& holdsAt(waterLevel(sK16(X0,X1,X2)),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f183,plain,
! [X0,X1,X2] :
( ( sP6(X0,X1,X2)
| ! [X3] :
( waterLevel(X3) != X0
| overflow != X1
| ~ holdsAt(waterLevel(X3),X2) ) )
& ( ? [X4] :
( waterLevel(X4) = X0
& overflow = X1
& holdsAt(waterLevel(X4),X2) )
| ~ sP6(X0,X1,X2) ) ),
inference(rectify,[],[f182]) ).
fof(f182,plain,
! [X1,X0,X2] :
( ( sP6(X1,X0,X2)
| ! [X3] :
( waterLevel(X3) != X1
| overflow != X0
| ~ holdsAt(waterLevel(X3),X2) ) )
& ( ? [X3] :
( waterLevel(X3) = X1
& overflow = X0
& holdsAt(waterLevel(X3),X2) )
| ~ sP6(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f129]) ).
fof(f1193,plain,
sP6(waterLevel(n0),overflow,n0),
inference(unit_resulting_resolution,[],[f196,f321]) ).
fof(f321,plain,
! [X2,X3] :
( ~ holdsAt(waterLevel(X3),X2)
| sP6(waterLevel(X3),overflow,X2) ),
inference(equality_resolution,[],[f320]) ).
fof(f320,plain,
! [X2,X3,X1] :
( sP6(waterLevel(X3),X1,X2)
| overflow != X1
| ~ holdsAt(waterLevel(X3),X2) ),
inference(equality_resolution,[],[f295]) ).
fof(f295,plain,
! [X2,X3,X0,X1] :
( sP6(X0,X1,X2)
| waterLevel(X3) != X0
| overflow != X1
| ~ holdsAt(waterLevel(X3),X2) ),
inference(cnf_transformation,[],[f185]) ).
fof(f196,plain,
holdsAt(waterLevel(n0),n0),
inference(cnf_transformation,[],[f49]) ).
fof(f49,axiom,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_0) ).
fof(f6916,plain,
sK16(waterLevel(n0),overflow,n0) = sK17(waterLevel(n0),tapOff,n0),
inference(unit_resulting_resolution,[],[f6864,f6909,f265]) ).
fof(f6909,plain,
holdsAt(waterLevel(sK17(waterLevel(n0),tapOff,n0)),n0),
inference(forward_demodulation,[],[f6906,f6869]) ).
fof(f6906,plain,
holdsAt(waterLevel(sK17(waterLevel(sK16(waterLevel(n0),overflow,n0)),tapOff,n0)),n0),
inference(unit_resulting_resolution,[],[f6871,f296]) ).
fof(f296,plain,
! [X2,X0,X1] :
( ~ sP5(X0,X1,X2)
| holdsAt(waterLevel(sK17(X0,X1,X2)),X2) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0,X1,X2] :
( ( sP5(X0,X1,X2)
| ! [X3] :
( waterLevel(X3) != X0
| tapOff != X1
| ~ holdsAt(waterLevel(X3),X2) ) )
& ( ( waterLevel(sK17(X0,X1,X2)) = X0
& tapOff = X1
& holdsAt(waterLevel(sK17(X0,X1,X2)),X2) )
| ~ sP5(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f187,f188]) ).
fof(f188,plain,
! [X0,X1,X2] :
( ? [X4] :
( waterLevel(X4) = X0
& tapOff = X1
& holdsAt(waterLevel(X4),X2) )
=> ( waterLevel(sK17(X0,X1,X2)) = X0
& tapOff = X1
& holdsAt(waterLevel(sK17(X0,X1,X2)),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f187,plain,
! [X0,X1,X2] :
( ( sP5(X0,X1,X2)
| ! [X3] :
( waterLevel(X3) != X0
| tapOff != X1
| ~ holdsAt(waterLevel(X3),X2) ) )
& ( ? [X4] :
( waterLevel(X4) = X0
& tapOff = X1
& holdsAt(waterLevel(X4),X2) )
| ~ sP5(X0,X1,X2) ) ),
inference(rectify,[],[f186]) ).
fof(f186,plain,
! [X1,X0,X2] :
( ( sP5(X1,X0,X2)
| ! [X4] :
( waterLevel(X4) != X1
| tapOff != X0
| ~ holdsAt(waterLevel(X4),X2) ) )
& ( ? [X4] :
( waterLevel(X4) = X1
& tapOff = X0
& holdsAt(waterLevel(X4),X2) )
| ~ sP5(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f128]) ).
fof(f6871,plain,
sP5(waterLevel(sK16(waterLevel(n0),overflow,n0)),tapOff,n0),
inference(unit_resulting_resolution,[],[f6864,f323]) ).
fof(f323,plain,
! [X2,X3] :
( ~ holdsAt(waterLevel(X3),X2)
| sP5(waterLevel(X3),tapOff,X2) ),
inference(equality_resolution,[],[f322]) ).
fof(f322,plain,
! [X2,X3,X1] :
( sP5(waterLevel(X3),X1,X2)
| tapOff != X1
| ~ holdsAt(waterLevel(X3),X2) ),
inference(equality_resolution,[],[f299]) ).
fof(f299,plain,
! [X2,X3,X0,X1] :
( sP5(X0,X1,X2)
| waterLevel(X3) != X0
| tapOff != X1
| ~ holdsAt(waterLevel(X3),X2) ),
inference(cnf_transformation,[],[f189]) ).
fof(f7052,plain,
! [X0] : trajectory(filling,n0,waterLevel(plus(sK17(waterLevel(n0),tapOff,n0),X0)),X0),
inference(unit_resulting_resolution,[],[f6909,f324]) ).
fof(f324,plain,
! [X3,X0,X1] :
( ~ holdsAt(waterLevel(X0),X1)
| trajectory(filling,X1,waterLevel(plus(X0,X3)),X3) ),
inference(equality_resolution,[],[f302]) ).
fof(f302,plain,
! [X2,X3,X0,X1] :
( trajectory(filling,X1,waterLevel(X2),X3)
| plus(X0,X3) != X2
| ~ holdsAt(waterLevel(X0),X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( trajectory(filling,X1,waterLevel(X2),X3)
| plus(X0,X3) != X2
| ~ holdsAt(waterLevel(X0),X1) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2,X3] :
( trajectory(filling,X1,waterLevel(X2),X3)
| plus(X0,X3) != X2
| ~ holdsAt(waterLevel(X0),X1) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( ( plus(X0,X3) = X2
& holdsAt(waterLevel(X0),X1) )
=> trajectory(filling,X1,waterLevel(X2),X3) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X9,X4,X10,X6] :
( ( plus(X9,X6) = X10
& holdsAt(waterLevel(X9),X4) )
=> trajectory(filling,X4,waterLevel(X10),X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',change_of_waterLevel) ).
fof(f326,plain,
! [X2,X3,X1,X4] :
( ~ trajectory(X2,X1,X3,X4)
| stoppedIn(X1,X2,plus(X1,X4))
| holdsAt(X3,plus(X1,X4))
| ~ less(n0,X4)
| ~ sP18(X2,X1) ),
inference(general_splitting,[],[f303,f325_D]) ).
fof(f303,plain,
! [X2,X3,X0,X1,X4] :
( holdsAt(X3,plus(X1,X4))
| stoppedIn(X1,X2,plus(X1,X4))
| ~ trajectory(X2,X1,X3,X4)
| ~ less(n0,X4)
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4] :
( holdsAt(X3,plus(X1,X4))
| stoppedIn(X1,X2,plus(X1,X4))
| ~ trajectory(X2,X1,X3,X4)
| ~ less(n0,X4)
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4] :
( holdsAt(X3,plus(X1,X4))
| stoppedIn(X1,X2,plus(X1,X4))
| ~ trajectory(X2,X1,X3,X4)
| ~ less(n0,X4)
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ stoppedIn(X1,X2,plus(X1,X4))
& trajectory(X2,X1,X3,X4)
& less(n0,X4)
& initiates(X0,X2,X1)
& happens(X0,X1) )
=> holdsAt(X3,plus(X1,X4)) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X3,X4,X1,X5,X6] :
( ( ~ stoppedIn(X4,X1,plus(X4,X6))
& trajectory(X1,X4,X5,X6)
& less(n0,X6)
& initiates(X3,X1,X4)
& happens(X3,X4) )
=> holdsAt(X5,plus(X4,X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',change_holding) ).
fof(f34169,plain,
( happens(sK13(filling,n2,n0),n0)
| n1 = n3 ),
inference(superposition,[],[f30427,f34166]) ).
fof(f34166,plain,
( n0 = sK14(filling,n2,n0)
| n1 = n3 ),
inference(subsumption_resolution,[],[f34165,f212]) ).
fof(f212,plain,
! [X0] : ~ less(X0,n0),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0] : ~ less(X0,n0),
inference(ennf_transformation,[],[f59]) ).
fof(f59,plain,
~ ? [X0] : less(X0,n0),
inference(rectify,[],[f38]) ).
fof(f38,axiom,
~ ? [X11] : less(X11,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less0) ).
fof(f34165,plain,
( less(n0,n0)
| n0 = sK14(filling,n2,n0)
| n1 = n3 ),
inference(duplicate_literal_removal,[],[f34154]) ).
fof(f34154,plain,
( less(n0,n0)
| n0 = sK14(filling,n2,n0)
| n1 = n3
| n1 = n3 ),
inference(superposition,[],[f32673,f34153]) ).
fof(f34153,plain,
( n0 = sK14(filling,n1,n0)
| n1 = n3 ),
inference(subsumption_resolution,[],[f34021,f30823]) ).
fof(f34021,plain,
( happens(sK13(filling,n2,n0),n0)
| n1 = n3
| n0 = sK14(filling,n1,n0) ),
inference(superposition,[],[f30427,f33917]) ).
fof(f33917,plain,
( n0 = sK14(filling,n2,n0)
| n1 = n3
| n0 = sK14(filling,n1,n0) ),
inference(subsumption_resolution,[],[f33916,f212]) ).
fof(f33916,plain,
( n1 = n3
| n0 = sK14(filling,n2,n0)
| less(sK14(filling,n1,n0),n0)
| n0 = sK14(filling,n1,n0) ),
inference(resolution,[],[f33870,f242]) ).
fof(f242,plain,
! [X0,X1] :
( ~ less_or_equal(X0,X1)
| less(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f151]) ).
fof(f33870,plain,
( less_or_equal(sK14(filling,n1,n0),n0)
| n1 = n3
| n0 = sK14(filling,n2,n0) ),
inference(resolution,[],[f32674,f231]) ).
fof(f231,plain,
! [X0] :
( ~ less(X0,n1)
| less_or_equal(X0,n0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f32674,plain,
( less(sK14(filling,n1,n0),n1)
| n0 = sK14(filling,n2,n0)
| n1 = n3 ),
inference(resolution,[],[f31112,f30701]) ).
fof(f30701,plain,
( holdsAt(waterLevel(n1),n1)
| less(sK14(filling,n1,n0),n1) ),
inference(resolution,[],[f30697,f268]) ).
fof(f268,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| less(sK14(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f30697,plain,
( sP2(filling,n1,n0)
| holdsAt(waterLevel(n1),n1) ),
inference(resolution,[],[f30414,f270]) ).
fof(f30414,plain,
( stoppedIn(n0,filling,n1)
| holdsAt(waterLevel(n1),n1) ),
inference(forward_demodulation,[],[f30413,f208]) ).
fof(f30413,plain,
( stoppedIn(n0,filling,n1)
| holdsAt(waterLevel(n1),plus(n0,n1)) ),
inference(forward_demodulation,[],[f30412,f208]) ).
fof(f30412,plain,
( stoppedIn(n0,filling,plus(n0,n1))
| holdsAt(waterLevel(n1),plus(n0,n1)) ),
inference(subsumption_resolution,[],[f30411,f6843]) ).
fof(f30411,plain,
( stoppedIn(n0,filling,plus(n0,n1))
| holdsAt(waterLevel(n1),plus(n0,n1))
| ~ sP18(filling,n0) ),
inference(subsumption_resolution,[],[f30406,f376]) ).
fof(f30406,plain,
( stoppedIn(n0,filling,plus(n0,n1))
| holdsAt(waterLevel(n1),plus(n0,n1))
| ~ less(n0,n1)
| ~ sP18(filling,n0) ),
inference(resolution,[],[f326,f7063]) ).
fof(f7063,plain,
trajectory(filling,n0,waterLevel(n1),n1),
inference(superposition,[],[f7057,f208]) ).
fof(f31112,plain,
! [X0] :
( ~ holdsAt(waterLevel(X0),n1)
| n3 = X0
| n0 = sK14(filling,n2,n0) ),
inference(resolution,[],[f31104,f265]) ).
fof(f31104,plain,
( holdsAt(waterLevel(n3),n1)
| n0 = sK14(filling,n2,n0) ),
inference(resolution,[],[f31103,f252]) ).
fof(f252,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| holdsAt(waterLevel(n3),X1) ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| overflow != X0
| ~ holdsAt(filling,X1)
| ~ holdsAt(waterLevel(n3),X1) )
& ( ( overflow = X0
& holdsAt(filling,X1)
& holdsAt(waterLevel(n3),X1) )
| ~ sP0(X0,X1) ) ),
inference(flattening,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| overflow != X0
| ~ holdsAt(filling,X1)
| ~ holdsAt(waterLevel(n3),X1) )
& ( ( overflow = X0
& holdsAt(filling,X1)
& holdsAt(waterLevel(n3),X1) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f120]) ).
fof(f31103,plain,
( sP0(sK12(filling,n1),n1)
| n0 = sK14(filling,n2,n0) ),
inference(subsumption_resolution,[],[f31100,f31086]) ).
fof(f31086,plain,
( n0 != n1
| n0 = sK14(filling,n2,n0) ),
inference(equality_factoring,[],[f30914]) ).
fof(f30914,plain,
( n1 = sK14(filling,n2,n0)
| n0 = sK14(filling,n2,n0) ),
inference(duplicate_literal_removal,[],[f30897]) ).
fof(f30897,plain,
( n1 = sK14(filling,n2,n0)
| n0 = sK14(filling,n2,n0)
| n1 = sK14(filling,n2,n0) ),
inference(resolution,[],[f30457,f1535]) ).
fof(f1535,plain,
! [X0] :
( ~ less(X0,n1)
| n0 = X0
| n1 = X0 ),
inference(resolution,[],[f1281,f245]) ).
fof(f245,plain,
! [X0,X1] :
( ~ less(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1] :
( ( less(X0,X1)
| X0 = X1
| less(X1,X0) )
& ( ( X0 != X1
& ~ less(X1,X0) )
| ~ less(X0,X1) ) ),
inference(flattening,[],[f152]) ).
fof(f152,plain,
! [X0,X1] :
( ( less(X0,X1)
| X0 = X1
| less(X1,X0) )
& ( ( X0 != X1
& ~ less(X1,X0) )
| ~ less(X0,X1) ) ),
inference(nnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( less(X0,X1)
<=> ( X0 != X1
& ~ less(X1,X0) ) ),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X11,X12] :
( less(X11,X12)
<=> ( X11 != X12
& ~ less(X12,X11) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
fof(f1281,plain,
! [X0] :
( less(n1,X0)
| n1 = X0
| n0 = X0 ),
inference(subsumption_resolution,[],[f1280,f212]) ).
fof(f1280,plain,
! [X0] :
( n1 = X0
| less(n1,X0)
| less(X0,n0)
| n0 = X0 ),
inference(resolution,[],[f1015,f242]) ).
fof(f1015,plain,
! [X0] :
( less_or_equal(X0,n0)
| n1 = X0
| less(n1,X0) ),
inference(resolution,[],[f247,f231]) ).
fof(f247,plain,
! [X0,X1] :
( less(X0,X1)
| less(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f153]) ).
fof(f30457,plain,
( less(sK14(filling,n2,n0),n1)
| n1 = sK14(filling,n2,n0) ),
inference(resolution,[],[f30434,f242]) ).
fof(f30434,plain,
less_or_equal(sK14(filling,n2,n0),n1),
inference(unit_resulting_resolution,[],[f30428,f229]) ).
fof(f229,plain,
! [X0] :
( ~ less(X0,n2)
| less_or_equal(X0,n1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f30428,plain,
less(sK14(filling,n2,n0),n2),
inference(unit_resulting_resolution,[],[f30424,f268]) ).
fof(f31100,plain,
( n0 = sK14(filling,n2,n0)
| n0 = n1
| sP0(sK12(filling,n1),n1) ),
inference(resolution,[],[f31099,f249]) ).
fof(f249,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| n0 = X0
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f31099,plain,
( sP1(n1,sK12(filling,n1))
| n0 = sK14(filling,n2,n0) ),
inference(resolution,[],[f31098,f256]) ).
fof(f256,plain,
! [X0,X1] :
( ~ happens(X0,X1)
| sP1(X1,X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f31098,plain,
( happens(sK12(filling,n1),n1)
| n0 = sK14(filling,n2,n0) ),
inference(resolution,[],[f31087,f25487]) ).
fof(f25487,plain,
( holdsAt(filling,n2)
| happens(sK12(filling,n1),n1) ),
inference(forward_demodulation,[],[f25486,f206]) ).
fof(f206,plain,
n2 = plus(n1,n1),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
n2 = plus(n1,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_1) ).
fof(f25486,plain,
( happens(sK12(filling,n1),n1)
| holdsAt(filling,plus(n1,n1)) ),
inference(subsumption_resolution,[],[f25485,f20800]) ).
fof(f20800,plain,
~ releasedAt(filling,n2),
inference(forward_demodulation,[],[f20793,f206]) ).
fof(f20793,plain,
~ releasedAt(filling,plus(n1,n1)),
inference(unit_resulting_resolution,[],[f7015,f4424,f235]) ).
fof(f235,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| releases(sK9(X0,X1),X0,X1)
| releasedAt(X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| ( releases(sK9(X0,X1),X0,X1)
& happens(sK9(X0,X1),X1) )
| releasedAt(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f98,f142]) ).
fof(f142,plain,
! [X0,X1] :
( ? [X2] :
( releases(X2,X0,X1)
& happens(X2,X1) )
=> ( releases(sK9(X0,X1),X0,X1)
& happens(sK9(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| ? [X2] :
( releases(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,X1) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| ? [X2] :
( releases(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,X1) ),
inference(ennf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ( ~ ? [X2] :
( releases(X2,X0,X1)
& happens(X2,X1) )
& ~ releasedAt(X0,X1) )
=> ~ releasedAt(X0,plus(X1,n1)) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X4] :
( ( ~ ? [X3] :
( releases(X3,X1,X4)
& happens(X3,X4) )
& ~ releasedAt(X1,X4) )
=> ~ releasedAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',keep_not_released) ).
fof(f4424,plain,
! [X0,X1] : ~ releases(X0,filling,X1),
inference(unit_resulting_resolution,[],[f214,f272]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ releases(X0,X1,X2)
| waterLevel(sK15(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0,X1,X2] :
( ( releases(X0,X1,X2)
| ! [X3] :
( waterLevel(X3) != X1
| tapOn != X0 ) )
& ( ( waterLevel(sK15(X0,X1)) = X1
& tapOn = X0 )
| ~ releases(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f166,f167]) ).
fof(f167,plain,
! [X0,X1] :
( ? [X4] :
( waterLevel(X4) = X1
& tapOn = X0 )
=> ( waterLevel(sK15(X0,X1)) = X1
& tapOn = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f166,plain,
! [X0,X1,X2] :
( ( releases(X0,X1,X2)
| ! [X3] :
( waterLevel(X3) != X1
| tapOn != X0 ) )
& ( ? [X4] :
( waterLevel(X4) = X1
& tapOn = X0 )
| ~ releases(X0,X1,X2) ) ),
inference(rectify,[],[f165]) ).
fof(f165,plain,
! [X0,X1,X2] :
( ( releases(X0,X1,X2)
| ! [X3] :
( waterLevel(X3) != X1
| tapOn != X0 ) )
& ( ? [X3] :
( waterLevel(X3) = X1
& tapOn = X0 )
| ~ releases(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1,X2] :
( releases(X0,X1,X2)
<=> ? [X3] :
( waterLevel(X3) = X1
& tapOn = X0 ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3,X1,X4] :
( releases(X3,X1,X4)
<=> ? [X8] :
( waterLevel(X8) = X1
& tapOn = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',releases_all_defn) ).
fof(f214,plain,
! [X0] : filling != waterLevel(X0),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0] : filling != waterLevel(X0),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X11] : filling != waterLevel(X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',filling_not_waterLevel) ).
fof(f7015,plain,
~ releasedAt(filling,n1),
inference(forward_demodulation,[],[f7010,f208]) ).
fof(f7010,plain,
~ releasedAt(filling,plus(n0,n1)),
inference(unit_resulting_resolution,[],[f870,f948,f263]) ).
fof(f263,plain,
! [X2,X0,X1] :
( ~ initiates(X0,X2,X1)
| ~ releasedAt(X2,plus(X1,n1))
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ releasedAt(X2,plus(X1,n1))
| ( ~ terminates(X0,X2,X1)
& ~ initiates(X0,X2,X1) )
| ~ happens(X0,X1) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ~ releasedAt(X2,plus(X1,n1))
| ( ~ terminates(X0,X2,X1)
& ~ initiates(X0,X2,X1) )
| ~ happens(X0,X1) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ( ( terminates(X0,X2,X1)
| initiates(X0,X2,X1) )
& happens(X0,X1) )
=> ~ releasedAt(X2,plus(X1,n1)) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X3,X4,X1] :
( ( ( terminates(X3,X1,X4)
| initiates(X3,X1,X4) )
& happens(X3,X4) )
=> ~ releasedAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',happens_not_released) ).
fof(f25485,plain,
( releasedAt(filling,n2)
| happens(sK12(filling,n1),n1)
| holdsAt(filling,plus(n1,n1)) ),
inference(forward_demodulation,[],[f25479,f206]) ).
fof(f25479,plain,
( happens(sK12(filling,n1),n1)
| releasedAt(filling,plus(n1,n1))
| holdsAt(filling,plus(n1,n1)) ),
inference(resolution,[],[f240,f7005]) ).
fof(f240,plain,
! [X0,X1] :
( ~ holdsAt(X0,X1)
| happens(sK12(X0,X1),X1)
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,plus(X1,n1)) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| ( terminates(sK12(X0,X1),X0,X1)
& happens(sK12(X0,X1),X1) )
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f104,f148]) ).
fof(f148,plain,
! [X0,X1] :
( ? [X2] :
( terminates(X2,X0,X1)
& happens(X2,X1) )
=> ( terminates(sK12(X0,X1),X0,X1)
& happens(sK12(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| ? [X2] :
( terminates(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( holdsAt(X0,plus(X1,n1))
| ? [X2] :
( terminates(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,plus(X1,n1))
| ~ holdsAt(X0,X1) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ( ~ ? [X2] :
( terminates(X2,X0,X1)
& happens(X2,X1) )
& ~ releasedAt(X0,plus(X1,n1))
& holdsAt(X0,X1) )
=> holdsAt(X0,plus(X1,n1)) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X4] :
( ( ~ ? [X3] :
( terminates(X3,X1,X4)
& happens(X3,X4) )
& ~ releasedAt(X1,plus(X4,n1))
& holdsAt(X1,X4) )
=> holdsAt(X1,plus(X4,n1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',keep_holding) ).
fof(f31087,plain,
( ~ holdsAt(filling,n2)
| n0 = sK14(filling,n2,n0) ),
inference(forward_demodulation,[],[f31077,f206]) ).
fof(f31077,plain,
( ~ holdsAt(filling,plus(n1,n1))
| n0 = sK14(filling,n2,n0) ),
inference(superposition,[],[f30719,f30914]) ).
fof(f30719,plain,
~ holdsAt(filling,plus(n1,sK14(filling,n2,n0))),
inference(forward_demodulation,[],[f30714,f233]) ).
fof(f233,plain,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X11,X12] : plus(X11,X12) = plus(X12,X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_plus) ).
fof(f30714,plain,
~ holdsAt(filling,plus(sK14(filling,n2,n0),n1)),
inference(unit_resulting_resolution,[],[f30427,f30426,f261]) ).
fof(f32673,plain,
( less(n0,sK14(filling,n1,n0))
| n0 = sK14(filling,n2,n0)
| n1 = n3 ),
inference(resolution,[],[f31112,f30702]) ).
fof(f30702,plain,
( holdsAt(waterLevel(n1),n1)
| less(n0,sK14(filling,n1,n0)) ),
inference(resolution,[],[f30697,f267]) ).
fof(f267,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| less(X2,sK14(X0,X1,X2)) ),
inference(cnf_transformation,[],[f164]) ).
fof(f30427,plain,
happens(sK13(filling,n2,n0),sK14(filling,n2,n0)),
inference(unit_resulting_resolution,[],[f30424,f266]) ).
fof(f266,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| happens(sK13(X0,X1,X2),sK14(X0,X1,X2)) ),
inference(cnf_transformation,[],[f164]) ).
fof(f363,plain,
~ less_or_equal(n3,n2),
inference(unit_resulting_resolution,[],[f305,f228]) ).
fof(f228,plain,
! [X0] :
( ~ less_or_equal(X0,n2)
| less(X0,n3) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ( less(X0,n3)
| ~ less_or_equal(X0,n2) )
& ( less_or_equal(X0,n2)
| ~ less(X0,n3) ) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( less(X0,n3)
<=> less_or_equal(X0,n2) ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X11] :
( less(X11,n3)
<=> less_or_equal(X11,n2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less3) ).
fof(f305,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f246]) ).
fof(f246,plain,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : CSR008+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n022.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:08:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (10574)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (10577)WARNING: value z3 for option sas not known
% 0.22/0.38 % (10578)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (10575)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (10577)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (10579)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.38 % (10576)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38 % (10580)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.22/0.38 % (10581)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.39 Detected minimum model sizes of [3]
% 0.22/0.39 Detected maximum model sizes of [max]
% 0.22/0.39 TRYING [3]
% 0.22/0.40 TRYING [4]
% 0.22/0.43 Detected minimum model sizes of [3]
% 0.22/0.43 Detected maximum model sizes of [max]
% 0.22/0.43 TRYING [3]
% 0.22/0.44 TRYING [5]
% 0.22/0.51 TRYING [6]
% 1.50/0.60 TRYING [4]
% 1.50/0.61 TRYING [7]
% 2.26/0.67 % (10581)First to succeed.
% 2.26/0.68 % (10581)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10574"
% 2.26/0.68 % (10581)Refutation found. Thanks to Tanya!
% 2.26/0.68 % SZS status Theorem for theBenchmark
% 2.26/0.68 % SZS output start Proof for theBenchmark
% See solution above
% 2.26/0.68 % (10581)------------------------------
% 2.26/0.68 % (10581)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.26/0.68 % (10581)Termination reason: Refutation
% 2.26/0.68
% 2.26/0.68 % (10581)Memory used [KB]: 2327
% 2.26/0.68 % (10581)Time elapsed: 0.299 s
% 2.26/0.68 % (10581)Instructions burned: 1003 (million)
% 2.26/0.68 % (10574)Success in time 0.305 s
%------------------------------------------------------------------------------