TSTP Solution File: CSR011+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CSR011+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 : n021.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 04:56:45 EDT 2024
% Result : Theorem 174.05s 25.36s
% Output : Refutation 174.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 31
% Syntax : Number of formulae : 253 ( 60 unt; 0 def)
% Number of atoms : 801 ( 301 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 776 ( 228 ~; 367 |; 145 &)
% ( 24 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-4 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-3 aty)
% Number of variables : 367 ( 339 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f526520,plain,
$false,
inference(subsumption_resolution,[],[f522316,f386]) ).
fof(f386,plain,
less_or_equal(n1,n2),
inference(unit_resulting_resolution,[],[f364,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/sandbox2/benchmark/theBenchmark.p',less_or_equal) ).
fof(f364,plain,
less(n1,n2),
inference(unit_resulting_resolution,[],[f304,f228]) ).
fof(f228,plain,
! [X0] :
( ~ less_or_equal(X0,n1)
| less(X0,n2) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ( less(X0,n2)
| ~ less_or_equal(X0,n1) )
& ( less_or_equal(X0,n1)
| ~ less(X0,n2) ) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,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/sandbox2/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(f522316,plain,
~ less_or_equal(n1,n2),
inference(superposition,[],[f369,f522305]) ).
fof(f522305,plain,
n1 = n3,
inference(subsumption_resolution,[],[f516053,f304]) ).
fof(f516053,plain,
( ~ less_or_equal(n3,n3)
| n1 = n3 ),
inference(superposition,[],[f369,f516044]) ).
fof(f516044,plain,
( n3 = n2
| n1 = n3 ),
inference(subsumption_resolution,[],[f515368,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/sandbox2/benchmark/theBenchmark.p',less0) ).
fof(f515368,plain,
( less(n0,n0)
| n1 = n3
| n3 = n2 ),
inference(superposition,[],[f2475,f515215]) ).
fof(f515215,plain,
( n0 = sK15(filling,n3,n0)
| n1 = n3
| n3 = n2 ),
inference(subsumption_resolution,[],[f515157,f212]) ).
fof(f515157,plain,
( less(n0,n0)
| n3 = n2
| n1 = n3
| n0 = sK15(filling,n3,n0) ),
inference(duplicate_literal_removal,[],[f515148]) ).
fof(f515148,plain,
( less(n0,n0)
| n3 = n2
| n1 = n3
| n0 = sK15(filling,n3,n0)
| n3 = n2
| n1 = n3 ),
inference(superposition,[],[f498578,f513714]) ).
fof(f513714,plain,
( n0 = sK15(filling,n1,n0)
| n3 = n2
| n1 = n3 ),
inference(subsumption_resolution,[],[f513025,f212]) ).
fof(f513025,plain,
( less(n0,n0)
| n1 = n3
| n3 = n2
| n0 = sK15(filling,n1,n0) ),
inference(superposition,[],[f2475,f512352]) ).
fof(f512352,plain,
( n0 = sK15(filling,n3,n0)
| n1 = n3
| n3 = n2
| n0 = sK15(filling,n1,n0) ),
inference(subsumption_resolution,[],[f512347,f212]) ).
fof(f512347,plain,
( n1 = n3
| n0 = sK15(filling,n3,n0)
| n3 = n2
| less(sK15(filling,n1,n0),n0)
| n0 = sK15(filling,n1,n0) ),
inference(resolution,[],[f511177,f242]) ).
fof(f242,plain,
! [X0,X1] :
( ~ less_or_equal(X0,X1)
| less(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f151]) ).
fof(f511177,plain,
( less_or_equal(sK15(filling,n1,n0),n0)
| n1 = n3
| n0 = sK15(filling,n3,n0)
| n3 = n2 ),
inference(resolution,[],[f498577,f231]) ).
fof(f231,plain,
! [X0] :
( ~ less(X0,n1)
| less_or_equal(X0,n0) ),
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/sandbox2/benchmark/theBenchmark.p',less1) ).
fof(f498577,plain,
( less(sK15(filling,n1,n0),n1)
| n3 = n2
| n1 = n3
| n0 = sK15(filling,n3,n0) ),
inference(resolution,[],[f498150,f34629]) ).
fof(f34629,plain,
! [X0] :
( ~ holdsAt(waterLevel(X0),n1)
| n1 = X0
| less(sK15(filling,n1,n0),n1) ),
inference(resolution,[],[f34619,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/sandbox2/benchmark/theBenchmark.p',same_waterLevel) ).
fof(f34619,plain,
( holdsAt(waterLevel(n1),n1)
| less(sK15(filling,n1,n0),n1) ),
inference(resolution,[],[f34615,f271]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| less(sK15(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0,X1,X2] :
( ( terminates(sK14(X0,X1,X2),X0,sK15(X0,X1,X2))
& less(sK15(X0,X1,X2),X1)
& less(X2,sK15(X0,X1,X2))
& happens(sK14(X0,X1,X2),sK15(X0,X1,X2)) )
| ~ sP2(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f166,f167]) ).
fof(f167,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( terminates(X3,X0,X4)
& less(X4,X1)
& less(X2,X4)
& happens(X3,X4) )
=> ( terminates(sK14(X0,X1,X2),X0,sK15(X0,X1,X2))
& less(sK15(X0,X1,X2),X1)
& less(X2,sK15(X0,X1,X2))
& happens(sK14(X0,X1,X2),sK15(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f166,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,[],[f165]) ).
fof(f165,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(f34615,plain,
( sP2(filling,n1,n0)
| holdsAt(waterLevel(n1),n1) ),
inference(resolution,[],[f34547,f273]) ).
fof(f273,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/sandbox2/benchmark/theBenchmark.p',stoppedin_defn) ).
fof(f34547,plain,
( stoppedIn(n0,filling,n1)
| holdsAt(waterLevel(n1),n1) ),
inference(forward_demodulation,[],[f34546,f207]) ).
fof(f207,plain,
n1 = plus(n0,n1),
inference(cnf_transformation,[],[f27]) ).
fof(f27,axiom,
n1 = plus(n0,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_1) ).
fof(f34546,plain,
( stoppedIn(n0,filling,n1)
| holdsAt(waterLevel(n1),plus(n0,n1)) ),
inference(forward_demodulation,[],[f34545,f207]) ).
fof(f34545,plain,
( stoppedIn(n0,filling,plus(n0,n1))
| holdsAt(waterLevel(n1),plus(n0,n1)) ),
inference(subsumption_resolution,[],[f34544,f6982]) ).
fof(f6982,plain,
sP18(filling,n0),
inference(unit_resulting_resolution,[],[f870,f950,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(f950,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/sandbox2/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/sandbox2/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(f34544,plain,
( stoppedIn(n0,filling,plus(n0,n1))
| holdsAt(waterLevel(n1),plus(n0,n1))
| ~ sP18(filling,n0) ),
inference(subsumption_resolution,[],[f34503,f376]) ).
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(f34503,plain,
( stoppedIn(n0,filling,plus(n0,n1))
| holdsAt(waterLevel(n1),plus(n0,n1))
| ~ less(n0,n1)
| ~ sP18(filling,n0) ),
inference(resolution,[],[f326,f7306]) ).
fof(f7306,plain,
trajectory(filling,n0,waterLevel(n1),n1),
inference(superposition,[],[f7300,f207]) ).
fof(f7300,plain,
! [X0] : trajectory(filling,n0,waterLevel(plus(n0,X0)),X0),
inference(forward_demodulation,[],[f7295,f7167]) ).
fof(f7167,plain,
n0 = sK17(waterLevel(n0),tapOff,n0),
inference(forward_demodulation,[],[f7159,f7112]) ).
fof(f7112,plain,
n0 = sK16(waterLevel(n0),overflow,n0),
inference(unit_resulting_resolution,[],[f196,f7107,f265]) ).
fof(f7107,plain,
holdsAt(waterLevel(sK16(waterLevel(n0),overflow,n0)),n0),
inference(unit_resulting_resolution,[],[f1195,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(f1195,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/sandbox2/benchmark/theBenchmark.p',waterLevel_0) ).
fof(f7159,plain,
sK16(waterLevel(n0),overflow,n0) = sK17(waterLevel(n0),tapOff,n0),
inference(unit_resulting_resolution,[],[f7107,f7152,f265]) ).
fof(f7152,plain,
holdsAt(waterLevel(sK17(waterLevel(n0),tapOff,n0)),n0),
inference(forward_demodulation,[],[f7149,f7112]) ).
fof(f7149,plain,
holdsAt(waterLevel(sK17(waterLevel(sK16(waterLevel(n0),overflow,n0)),tapOff,n0)),n0),
inference(unit_resulting_resolution,[],[f7114,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(f7114,plain,
sP5(waterLevel(sK16(waterLevel(n0),overflow,n0)),tapOff,n0),
inference(unit_resulting_resolution,[],[f7107,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(f7295,plain,
! [X0] : trajectory(filling,n0,waterLevel(plus(sK17(waterLevel(n0),tapOff,n0),X0)),X0),
inference(unit_resulting_resolution,[],[f7152,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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',change_holding) ).
fof(f498150,plain,
( holdsAt(waterLevel(n3),n1)
| n0 = sK15(filling,n3,n0)
| n3 = n2 ),
inference(duplicate_literal_removal,[],[f497106]) ).
fof(f497106,plain,
( holdsAt(waterLevel(n3),n1)
| n0 = sK15(filling,n3,n0)
| n3 = n2
| n0 = sK15(filling,n3,n0) ),
inference(superposition,[],[f21199,f497034]) ).
fof(f497034,plain,
( n1 = sK15(filling,n3,n0)
| n3 = n2
| n0 = sK15(filling,n3,n0) ),
inference(subsumption_resolution,[],[f497028,f212]) ).
fof(f497028,plain,
( less(n0,n0)
| n3 = n2
| n1 = sK15(filling,n3,n0)
| n0 = sK15(filling,n3,n0) ),
inference(duplicate_literal_removal,[],[f491910]) ).
fof(f491910,plain,
( less(n0,n0)
| n3 = n2
| n1 = sK15(filling,n3,n0)
| n0 = sK15(filling,n3,n0)
| n1 = sK15(filling,n3,n0)
| n0 = sK15(filling,n3,n0)
| n3 = n2 ),
inference(superposition,[],[f34672,f491903]) ).
fof(f491903,plain,
( n0 = sK15(filling,n2,n0)
| n1 = sK15(filling,n3,n0)
| n0 = sK15(filling,n3,n0)
| n3 = n2 ),
inference(subsumption_resolution,[],[f491902,f26728]) ).
fof(f26728,plain,
( holdsAt(filling,n2)
| n0 = sK15(filling,n3,n0)
| n1 = sK15(filling,n3,n0) ),
inference(duplicate_literal_removal,[],[f26663]) ).
fof(f26663,plain,
( holdsAt(filling,n2)
| n0 = sK15(filling,n3,n0)
| n1 = sK15(filling,n3,n0)
| n0 = sK15(filling,n3,n0) ),
inference(superposition,[],[f21201,f10987]) ).
fof(f10987,plain,
( n2 = sK15(filling,n3,n0)
| n1 = sK15(filling,n3,n0)
| n0 = sK15(filling,n3,n0) ),
inference(duplicate_literal_removal,[],[f10883]) ).
fof(f10883,plain,
( n2 = sK15(filling,n3,n0)
| n1 = sK15(filling,n3,n0)
| n0 = sK15(filling,n3,n0)
| n2 = sK15(filling,n3,n0) ),
inference(resolution,[],[f7557,f7011]) ).
fof(f7011,plain,
( ~ less(n2,sK15(filling,n3,n0))
| n2 = sK15(filling,n3,n0) ),
inference(resolution,[],[f4307,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/sandbox2/benchmark/theBenchmark.p',less_property) ).
fof(f4307,plain,
( less(sK15(filling,n3,n0),n2)
| n2 = sK15(filling,n3,n0) ),
inference(resolution,[],[f4295,f242]) ).
fof(f4295,plain,
less_or_equal(sK15(filling,n3,n0),n2),
inference(unit_resulting_resolution,[],[f4291,f229]) ).
fof(f229,plain,
! [X0] :
( ~ less(X0,n3)
| less_or_equal(X0,n2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ( less(X0,n3)
| ~ less_or_equal(X0,n2) )
& ( less_or_equal(X0,n2)
| ~ less(X0,n3) ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,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/sandbox2/benchmark/theBenchmark.p',less3) ).
fof(f4291,plain,
less(sK15(filling,n3,n0),n3),
inference(unit_resulting_resolution,[],[f947,f271]) ).
fof(f947,plain,
sP2(filling,n3,n0),
inference(unit_resulting_resolution,[],[f191,f273]) ).
fof(f191,plain,
stoppedIn(n0,filling,n3),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
stoppedIn(n0,filling,n3),
inference(flattening,[],[f56]) ).
fof(f56,negated_conjecture,
~ ~ stoppedIn(n0,filling,n3),
inference(negated_conjecture,[],[f55]) ).
fof(f55,conjecture,
~ stoppedIn(n0,filling,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_stopped_filling_0_3) ).
fof(f7557,plain,
! [X0] :
( less(n2,X0)
| n2 = X0
| n1 = X0
| n0 = X0 ),
inference(duplicate_literal_removal,[],[f7495]) ).
fof(f7495,plain,
! [X0] :
( less(n2,X0)
| n2 = X0
| n1 = X0
| n0 = X0
| n1 = X0 ),
inference(resolution,[],[f1304,f1566]) ).
fof(f1566,plain,
! [X0] :
( ~ less(X0,n1)
| n0 = X0
| n1 = X0 ),
inference(resolution,[],[f1283,f245]) ).
fof(f1283,plain,
! [X0] :
( less(n1,X0)
| n1 = X0
| n0 = X0 ),
inference(subsumption_resolution,[],[f1282,f212]) ).
fof(f1282,plain,
! [X0] :
( n1 = X0
| less(n1,X0)
| less(X0,n0)
| n0 = X0 ),
inference(resolution,[],[f1017,f242]) ).
fof(f1017,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(f1304,plain,
! [X0] :
( less(n2,X0)
| less(X0,n1)
| n2 = X0
| n1 = X0 ),
inference(resolution,[],[f1019,f242]) ).
fof(f1019,plain,
! [X0] :
( less_or_equal(X0,n1)
| n2 = X0
| less(n2,X0) ),
inference(resolution,[],[f247,f227]) ).
fof(f227,plain,
! [X0] :
( ~ less(X0,n2)
| less_or_equal(X0,n1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f21201,plain,
( holdsAt(filling,sK15(filling,n3,n0))
| n0 = sK15(filling,n3,n0) ),
inference(resolution,[],[f21125,f253]) ).
fof(f253,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| holdsAt(filling,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(f21125,plain,
( sP0(sK14(filling,n3,n0),sK15(filling,n3,n0))
| n0 = sK15(filling,n3,n0) ),
inference(resolution,[],[f21122,f249]) ).
fof(f249,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| n0 = X0
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f21122,plain,
sP1(sK15(filling,n3,n0),sK14(filling,n3,n0)),
inference(unit_resulting_resolution,[],[f21120,f256]) ).
fof(f256,plain,
! [X0,X1] :
( ~ happens(X0,X1)
| sP1(X1,X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f21120,plain,
happens(sK14(filling,n3,n0),sK15(filling,n3,n0)),
inference(unit_resulting_resolution,[],[f947,f269]) ).
fof(f269,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| happens(sK14(X0,X1,X2),sK15(X0,X1,X2)) ),
inference(cnf_transformation,[],[f168]) ).
fof(f491902,plain,
( ~ holdsAt(filling,n2)
| n3 = n2
| n1 = sK15(filling,n3,n0)
| n0 = sK15(filling,n3,n0)
| n0 = sK15(filling,n2,n0) ),
inference(forward_demodulation,[],[f491901,f203]) ).
fof(f203,plain,
n2 = plus(n1,n1),
inference(cnf_transformation,[],[f30]) ).
fof(f30,axiom,
n2 = plus(n1,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_1) ).
fof(f491901,plain,
( ~ holdsAt(filling,plus(n1,n1))
| n3 = n2
| n1 = sK15(filling,n3,n0)
| n0 = sK15(filling,n3,n0)
| n0 = sK15(filling,n2,n0) ),
inference(subsumption_resolution,[],[f486710,f26678]) ).
fof(f26678,plain,
! [X0] :
( ~ holdsAt(waterLevel(X0),n2)
| n3 = X0
| n1 = sK15(filling,n3,n0)
| n0 = sK15(filling,n3,n0) ),
inference(superposition,[],[f21304,f10987]) ).
fof(f21304,plain,
! [X0] :
( ~ holdsAt(waterLevel(X0),sK15(filling,n3,n0))
| n3 = X0 ),
inference(resolution,[],[f21285,f265]) ).
fof(f21285,plain,
holdsAt(waterLevel(n3),sK15(filling,n3,n0)),
inference(unit_resulting_resolution,[],[f21252,f252]) ).
fof(f252,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| holdsAt(waterLevel(n3),X1) ),
inference(cnf_transformation,[],[f158]) ).
fof(f21252,plain,
sP0(overflow,sK15(filling,n3,n0)),
inference(unit_resulting_resolution,[],[f199,f21250,f248]) ).
fof(f248,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| tapOn = X1
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f21250,plain,
sP1(sK15(filling,n3,n0),overflow),
inference(superposition,[],[f21122,f21248]) ).
fof(f21248,plain,
overflow = sK14(filling,n3,n0),
inference(subsumption_resolution,[],[f21203,f212]) ).
fof(f21203,plain,
( less(n0,n0)
| overflow = sK14(filling,n3,n0) ),
inference(superposition,[],[f2475,f21200]) ).
fof(f21200,plain,
( n0 = sK15(filling,n3,n0)
| overflow = sK14(filling,n3,n0) ),
inference(resolution,[],[f21125,f254]) ).
fof(f254,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| overflow = X0 ),
inference(cnf_transformation,[],[f158]) ).
fof(f199,plain,
tapOn != overflow,
inference(cnf_transformation,[],[f21]) ).
fof(f21,axiom,
tapOn != overflow,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',overflow_not_tapOn) ).
fof(f486710,plain,
( ~ holdsAt(filling,plus(n1,n1))
| holdsAt(waterLevel(n2),n2)
| n3 = n2
| n1 = sK15(filling,n3,n0)
| n0 = sK15(filling,n3,n0)
| n0 = sK15(filling,n2,n0) ),
inference(superposition,[],[f34961,f482789]) ).
fof(f482789,plain,
( n1 = sK15(filling,n2,n0)
| n3 = n2
| n1 = sK15(filling,n3,n0)
| n0 = sK15(filling,n3,n0)
| n0 = sK15(filling,n2,n0) ),
inference(duplicate_literal_removal,[],[f482768]) ).
fof(f482768,plain,
( n0 = sK15(filling,n3,n0)
| n3 = n2
| n1 = sK15(filling,n3,n0)
| n1 = sK15(filling,n2,n0)
| n0 = sK15(filling,n2,n0)
| n1 = sK15(filling,n2,n0) ),
inference(resolution,[],[f49941,f1566]) ).
fof(f49941,plain,
( less(sK15(filling,n2,n0),n1)
| n0 = sK15(filling,n3,n0)
| n3 = n2
| n1 = sK15(filling,n3,n0)
| n1 = sK15(filling,n2,n0) ),
inference(resolution,[],[f49864,f242]) ).
fof(f49864,plain,
( less_or_equal(sK15(filling,n2,n0),n1)
| n1 = sK15(filling,n3,n0)
| n0 = sK15(filling,n3,n0)
| n3 = n2 ),
inference(resolution,[],[f34653,f227]) ).
fof(f34653,plain,
( less(sK15(filling,n2,n0),n2)
| n3 = n2
| n1 = sK15(filling,n3,n0)
| n0 = sK15(filling,n3,n0) ),
inference(resolution,[],[f34623,f26678]) ).
fof(f34623,plain,
( holdsAt(waterLevel(n2),n2)
| less(sK15(filling,n2,n0),n2) ),
inference(resolution,[],[f34616,f271]) ).
fof(f34616,plain,
( sP2(filling,n2,n0)
| holdsAt(waterLevel(n2),n2) ),
inference(resolution,[],[f34554,f273]) ).
fof(f34554,plain,
( stoppedIn(n0,filling,n2)
| holdsAt(waterLevel(n2),n2) ),
inference(forward_demodulation,[],[f34553,f204]) ).
fof(f204,plain,
n2 = plus(n0,n2),
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
n2 = plus(n0,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_2) ).
fof(f34553,plain,
( stoppedIn(n0,filling,n2)
| holdsAt(waterLevel(n2),plus(n0,n2)) ),
inference(forward_demodulation,[],[f34552,f204]) ).
fof(f34552,plain,
( stoppedIn(n0,filling,plus(n0,n2))
| holdsAt(waterLevel(n2),plus(n0,n2)) ),
inference(subsumption_resolution,[],[f34551,f6982]) ).
fof(f34551,plain,
( stoppedIn(n0,filling,plus(n0,n2))
| holdsAt(waterLevel(n2),plus(n0,n2))
| ~ sP18(filling,n0) ),
inference(subsumption_resolution,[],[f34505,f430]) ).
fof(f430,plain,
less(n0,n2),
inference(unit_resulting_resolution,[],[f405,f228]) ).
fof(f405,plain,
less_or_equal(n0,n1),
inference(unit_resulting_resolution,[],[f376,f243]) ).
fof(f34505,plain,
( stoppedIn(n0,filling,plus(n0,n2))
| holdsAt(waterLevel(n2),plus(n0,n2))
| ~ less(n0,n2)
| ~ sP18(filling,n0) ),
inference(resolution,[],[f326,f7308]) ).
fof(f7308,plain,
trajectory(filling,n0,waterLevel(n2),n2),
inference(superposition,[],[f7300,f204]) ).
fof(f34961,plain,
( ~ holdsAt(filling,plus(n1,sK15(filling,n2,n0)))
| holdsAt(waterLevel(n2),n2) ),
inference(forward_demodulation,[],[f34960,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/sandbox2/benchmark/theBenchmark.p',symmetry_of_plus) ).
fof(f34960,plain,
( holdsAt(waterLevel(n2),n2)
| ~ holdsAt(filling,plus(sK15(filling,n2,n0),n1)) ),
inference(subsumption_resolution,[],[f34956,f34622]) ).
fof(f34622,plain,
( holdsAt(waterLevel(n2),n2)
| happens(sK14(filling,n2,n0),sK15(filling,n2,n0)) ),
inference(resolution,[],[f34616,f269]) ).
fof(f34956,plain,
( holdsAt(waterLevel(n2),n2)
| ~ holdsAt(filling,plus(sK15(filling,n2,n0),n1))
| ~ happens(sK14(filling,n2,n0),sK15(filling,n2,n0)) ),
inference(resolution,[],[f34621,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/sandbox2/benchmark/theBenchmark.p',happens_terminates_not_holds) ).
fof(f34621,plain,
( terminates(sK14(filling,n2,n0),filling,sK15(filling,n2,n0))
| holdsAt(waterLevel(n2),n2) ),
inference(resolution,[],[f34616,f272]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| terminates(sK14(X0,X1,X2),X0,sK15(X0,X1,X2)) ),
inference(cnf_transformation,[],[f168]) ).
fof(f34672,plain,
( less(n0,sK15(filling,n2,n0))
| n3 = n2
| n1 = sK15(filling,n3,n0)
| n0 = sK15(filling,n3,n0) ),
inference(resolution,[],[f34624,f26678]) ).
fof(f34624,plain,
( holdsAt(waterLevel(n2),n2)
| less(n0,sK15(filling,n2,n0)) ),
inference(resolution,[],[f34616,f270]) ).
fof(f270,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| less(X2,sK15(X0,X1,X2)) ),
inference(cnf_transformation,[],[f168]) ).
fof(f21199,plain,
( holdsAt(waterLevel(n3),sK15(filling,n3,n0))
| n0 = sK15(filling,n3,n0) ),
inference(resolution,[],[f21125,f252]) ).
fof(f498578,plain,
( less(n0,sK15(filling,n1,n0))
| n3 = n2
| n1 = n3
| n0 = sK15(filling,n3,n0) ),
inference(resolution,[],[f498150,f34643]) ).
fof(f34643,plain,
! [X0] :
( ~ holdsAt(waterLevel(X0),n1)
| n1 = X0
| less(n0,sK15(filling,n1,n0)) ),
inference(resolution,[],[f34620,f265]) ).
fof(f34620,plain,
( holdsAt(waterLevel(n1),n1)
| less(n0,sK15(filling,n1,n0)) ),
inference(resolution,[],[f34615,f270]) ).
fof(f2475,plain,
less(n0,sK15(filling,n3,n0)),
inference(unit_resulting_resolution,[],[f947,f270]) ).
fof(f369,plain,
~ less_or_equal(n3,n2),
inference(unit_resulting_resolution,[],[f305,f230]) ).
fof(f230,plain,
! [X0] :
( ~ less_or_equal(X0,n2)
| less(X0,n3) ),
inference(cnf_transformation,[],[f140]) ).
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
% 0.07/0.14 % Problem : CSR011+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.07/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.37 % Computer : n021.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri May 3 20:06:38 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.16/0.38 % (18784)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39 % (18786)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.39 % (18790)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)
% 0.16/0.39 % (18791)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)
% 0.16/0.39 % (18787)WARNING: value z3 for option sas not known
% 0.16/0.39 % (18789)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)
% 0.16/0.40 % (18788)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.40 % (18787)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)
% 0.16/0.40 % (18785)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.40 Detected minimum model sizes of [3]
% 0.16/0.40 Detected maximum model sizes of [max]
% 0.22/0.40 TRYING [3]
% 0.22/0.42 TRYING [4]
% 0.22/0.45 TRYING [5]
% 0.22/0.45 Detected minimum model sizes of [3]
% 0.22/0.45 Detected maximum model sizes of [max]
% 0.22/0.46 TRYING [3]
% 0.22/0.53 TRYING [6]
% 1.94/0.67 TRYING [4]
% 1.94/0.68 TRYING [7]
% 4.04/0.99 TRYING [8]
% 6.12/1.27 TRYING [5]
% 7.84/1.49 Detected minimum model sizes of [3]
% 7.84/1.49 Detected maximum model sizes of [max]
% 7.84/1.50 TRYING [3]
% 7.84/1.51 TRYING [4]
% 8.23/1.56 TRYING [5]
% 8.23/1.57 TRYING [9]
% 9.21/1.69 TRYING [6]
% 10.20/1.91 TRYING [7]
% 13.55/2.31 TRYING [8]
% 14.99/2.53 TRYING [10]
% 18.98/3.16 TRYING [9]
% 19.87/3.22 TRYING [6]
% 25.16/4.02 TRYING [11]
% 29.04/4.56 TRYING [10]
% 41.43/6.33 TRYING [12]
% 47.71/7.25 TRYING [11]
% 62.40/9.35 TRYING [7]
% 66.51/10.00 TRYING [13]
% 77.06/11.47 TRYING [12]
% 104.93/15.43 TRYING [14]
% 122.49/17.94 TRYING [13]
% 162.95/23.74 TRYING [15]
% 174.05/25.35 % (18791)First to succeed.
% 174.05/25.35 % (18791)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18784"
% 174.05/25.36 % (18791)Refutation found. Thanks to Tanya!
% 174.05/25.36 % SZS status Theorem for theBenchmark
% 174.05/25.36 % SZS output start Proof for theBenchmark
% See solution above
% 174.05/25.36 % (18791)------------------------------
% 174.05/25.36 % (18791)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 174.05/25.36 % (18791)Termination reason: Refutation
% 174.05/25.36
% 174.05/25.36 % (18791)Memory used [KB]: 33037
% 174.05/25.36 % (18791)Time elapsed: 24.957 s
% 174.05/25.36 % (18791)Instructions burned: 78828 (million)
% 174.05/25.36 % (18784)Success in time 24.946 s
%------------------------------------------------------------------------------