TSTP Solution File: CSR006+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CSR006+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 : n009.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 3.68s 0.87s
% Output : Refutation 3.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 44
% Syntax : Number of formulae : 300 ( 91 unt; 0 def)
% Number of atoms : 896 ( 270 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 904 ( 308 ~; 352 |; 193 &)
% ( 29 <=>; 22 =>; 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 : 17 ( 17 usr; 9 con; 0-3 aty)
% Number of variables : 495 ( 457 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f40202,plain,
$false,
inference(subsumption_resolution,[],[f39819,f405]) ).
fof(f405,plain,
less_or_equal(n0,n1),
inference(unit_resulting_resolution,[],[f376,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(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(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(f39819,plain,
~ less_or_equal(n0,n1),
inference(superposition,[],[f363,f39812]) ).
fof(f39812,plain,
n0 = n2,
inference(subsumption_resolution,[],[f39678,f33176]) ).
fof(f33176,plain,
~ happens(sK13(filling,n3,n0),n0),
inference(subsumption_resolution,[],[f33172,f7014]) ).
fof(f7014,plain,
holdsAt(filling,n1),
inference(forward_demodulation,[],[f7009,f207]) ).
fof(f207,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(f7009,plain,
holdsAt(filling,plus(n0,n1)),
inference(unit_resulting_resolution,[],[f870,f949,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(f949,plain,
! [X0] : initiates(tapOn,filling,X0),
inference(unit_resulting_resolution,[],[f909,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(f909,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(f33172,plain,
( ~ holdsAt(filling,n1)
| ~ happens(sK13(filling,n3,n0),n0) ),
inference(superposition,[],[f33088,f207]) ).
fof(f33088,plain,
! [X0] :
( ~ holdsAt(filling,plus(X0,n1))
| ~ happens(sK13(filling,n3,n0),X0) ),
inference(resolution,[],[f33080,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(f33080,plain,
! [X0] : terminates(sK13(filling,n3,n0),filling,X0),
inference(unit_resulting_resolution,[],[f33070,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(f33070,plain,
sP4(filling,sK13(filling,n3,n0)),
inference(unit_resulting_resolution,[],[f32823,f281]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ terminates(X0,X1,X2)
| sP4(X1,X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f32823,plain,
terminates(sK13(filling,n3,n0),filling,sK14(filling,n3,n0)),
inference(unit_resulting_resolution,[],[f32821,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(f32821,plain,
sP2(filling,n3,n0),
inference(unit_resulting_resolution,[],[f32816,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(f32816,plain,
stoppedIn(n0,filling,n3),
inference(subsumption_resolution,[],[f32815,f191]) ).
fof(f191,plain,
~ holdsAt(waterLevel(n3),n3),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
~ holdsAt(waterLevel(n3),n3),
inference(flattening,[],[f56]) ).
fof(f56,negated_conjecture,
~ holdsAt(waterLevel(n3),n3),
inference(negated_conjecture,[],[f55]) ).
fof(f55,conjecture,
holdsAt(waterLevel(n3),n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_3) ).
fof(f32815,plain,
( holdsAt(waterLevel(n3),n3)
| stoppedIn(n0,filling,n3) ),
inference(forward_demodulation,[],[f32814,f206]) ).
fof(f206,plain,
n3 = plus(n0,n3),
inference(cnf_transformation,[],[f29]) ).
fof(f29,axiom,
n3 = plus(n0,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_3) ).
fof(f32814,plain,
( stoppedIn(n0,filling,n3)
| holdsAt(waterLevel(n3),plus(n0,n3)) ),
inference(forward_demodulation,[],[f32813,f206]) ).
fof(f32813,plain,
( stoppedIn(n0,filling,plus(n0,n3))
| holdsAt(waterLevel(n3),plus(n0,n3)) ),
inference(subsumption_resolution,[],[f32812,f6852]) ).
fof(f6852,plain,
sP18(filling,n0),
inference(unit_resulting_resolution,[],[f870,f949,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(f32812,plain,
( stoppedIn(n0,filling,plus(n0,n3))
| holdsAt(waterLevel(n3),plus(n0,n3))
| ~ sP18(filling,n0) ),
inference(subsumption_resolution,[],[f32804,f499]) ).
fof(f499,plain,
less(n0,n3),
inference(unit_resulting_resolution,[],[f477,f230]) ).
fof(f230,plain,
! [X0] :
( ~ less_or_equal(X0,n2)
| less(X0,n3) ),
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/sandbox/benchmark/theBenchmark.p',less3) ).
fof(f477,plain,
less_or_equal(n0,n2),
inference(unit_resulting_resolution,[],[f430,f243]) ).
fof(f430,plain,
less(n0,n2),
inference(unit_resulting_resolution,[],[f405,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/sandbox/benchmark/theBenchmark.p',less2) ).
fof(f32804,plain,
( stoppedIn(n0,filling,plus(n0,n3))
| holdsAt(waterLevel(n3),plus(n0,n3))
| ~ less(n0,n3)
| ~ sP18(filling,n0) ),
inference(resolution,[],[f326,f7075]) ).
fof(f7075,plain,
trajectory(filling,n0,waterLevel(n3),n3),
inference(superposition,[],[f7061,f206]) ).
fof(f7061,plain,
! [X0] : trajectory(filling,n0,waterLevel(plus(n0,X0)),X0),
inference(forward_demodulation,[],[f7056,f6933]) ).
fof(f6933,plain,
n0 = sK17(waterLevel(n0),tapOff,n0),
inference(forward_demodulation,[],[f6925,f6878]) ).
fof(f6878,plain,
n0 = sK16(waterLevel(n0),overflow,n0),
inference(unit_resulting_resolution,[],[f196,f6873,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(f6873,plain,
holdsAt(waterLevel(sK16(waterLevel(n0),overflow,n0)),n0),
inference(unit_resulting_resolution,[],[f1202,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(f1202,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(f6925,plain,
sK16(waterLevel(n0),overflow,n0) = sK17(waterLevel(n0),tapOff,n0),
inference(unit_resulting_resolution,[],[f6873,f6918,f265]) ).
fof(f6918,plain,
holdsAt(waterLevel(sK17(waterLevel(n0),tapOff,n0)),n0),
inference(forward_demodulation,[],[f6915,f6878]) ).
fof(f6915,plain,
holdsAt(waterLevel(sK17(waterLevel(sK16(waterLevel(n0),overflow,n0)),tapOff,n0)),n0),
inference(unit_resulting_resolution,[],[f6880,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(f6880,plain,
sP5(waterLevel(sK16(waterLevel(n0),overflow,n0)),tapOff,n0),
inference(unit_resulting_resolution,[],[f6873,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(f7056,plain,
! [X0] : trajectory(filling,n0,waterLevel(plus(sK17(waterLevel(n0),tapOff,n0),X0)),X0),
inference(unit_resulting_resolution,[],[f6918,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(f39678,plain,
( happens(sK13(filling,n3,n0),n0)
| n0 = n2 ),
inference(superposition,[],[f32824,f39673]) ).
fof(f39673,plain,
( n0 = sK14(filling,n3,n0)
| n0 = n2 ),
inference(subsumption_resolution,[],[f39670,f38976]) ).
fof(f38976,plain,
! [X0] :
( ~ sP0(X0,n2)
| n0 = sK14(filling,n3,n0) ),
inference(forward_demodulation,[],[f38887,f204]) ).
fof(f204,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(f38887,plain,
! [X0] :
( ~ sP0(X0,plus(n1,n1))
| n0 = sK14(filling,n3,n0) ),
inference(superposition,[],[f33092,f38831]) ).
fof(f38831,plain,
( n1 = sK14(filling,n3,n0)
| n0 = sK14(filling,n3,n0) ),
inference(subsumption_resolution,[],[f38830,f191]) ).
fof(f38830,plain,
( holdsAt(waterLevel(n3),n3)
| n1 = sK14(filling,n3,n0)
| n0 = sK14(filling,n3,n0) ),
inference(forward_demodulation,[],[f38762,f205]) ).
fof(f205,plain,
n3 = plus(n1,n2),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
n3 = plus(n1,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_2) ).
fof(f38762,plain,
( holdsAt(waterLevel(n3),plus(n1,n2))
| n1 = sK14(filling,n3,n0)
| n0 = sK14(filling,n3,n0) ),
inference(superposition,[],[f33530,f33262]) ).
fof(f33262,plain,
( n2 = sK14(filling,n3,n0)
| n1 = sK14(filling,n3,n0)
| n0 = sK14(filling,n3,n0) ),
inference(duplicate_literal_removal,[],[f33259]) ).
fof(f33259,plain,
( n2 = sK14(filling,n3,n0)
| n1 = sK14(filling,n3,n0)
| n0 = sK14(filling,n3,n0)
| n2 = sK14(filling,n3,n0) ),
inference(resolution,[],[f32854,f10587]) ).
fof(f10587,plain,
! [X0] :
( ~ less(X0,n2)
| n1 = X0
| n0 = X0
| n2 = X0 ),
inference(resolution,[],[f7321,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(f7321,plain,
! [X0] :
( less(n2,X0)
| n2 = X0
| n1 = X0
| n0 = X0 ),
inference(duplicate_literal_removal,[],[f7259]) ).
fof(f7259,plain,
! [X0] :
( less(n2,X0)
| n2 = X0
| n1 = X0
| n0 = X0
| n1 = X0 ),
inference(resolution,[],[f1311,f1544]) ).
fof(f1544,plain,
! [X0] :
( ~ less(X0,n1)
| n0 = X0
| n1 = X0 ),
inference(resolution,[],[f1290,f245]) ).
fof(f1290,plain,
! [X0] :
( less(n1,X0)
| n1 = X0
| n0 = X0 ),
inference(subsumption_resolution,[],[f1289,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(f1289,plain,
! [X0] :
( n1 = X0
| less(n1,X0)
| less(X0,n0)
| n0 = X0 ),
inference(resolution,[],[f1016,f242]) ).
fof(f242,plain,
! [X0,X1] :
( ~ less_or_equal(X0,X1)
| less(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f151]) ).
fof(f1016,plain,
! [X0] :
( less_or_equal(X0,n0)
| n1 = X0
| less(n1,X0) ),
inference(resolution,[],[f247,f231]) ).
fof(f231,plain,
! [X0] :
( ~ less(X0,n1)
| less_or_equal(X0,n0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f247,plain,
! [X0,X1] :
( less(X0,X1)
| less(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f153]) ).
fof(f1311,plain,
! [X0] :
( less(n2,X0)
| less(X0,n1)
| n2 = X0
| n1 = X0 ),
inference(resolution,[],[f1018,f242]) ).
fof(f1018,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(f32854,plain,
( less(sK14(filling,n3,n0),n2)
| n2 = sK14(filling,n3,n0) ),
inference(resolution,[],[f32831,f242]) ).
fof(f32831,plain,
less_or_equal(sK14(filling,n3,n0),n2),
inference(unit_resulting_resolution,[],[f32825,f229]) ).
fof(f229,plain,
! [X0] :
( ~ less(X0,n3)
| less_or_equal(X0,n2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f32825,plain,
less(sK14(filling,n3,n0),n3),
inference(unit_resulting_resolution,[],[f32821,f268]) ).
fof(f268,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| less(sK14(X0,X1,X2),X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f33530,plain,
holdsAt(waterLevel(n3),plus(n1,sK14(filling,n3,n0))),
inference(forward_demodulation,[],[f33523,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(f33523,plain,
holdsAt(waterLevel(n3),plus(sK14(filling,n3,n0),n1)),
inference(unit_resulting_resolution,[],[f33396,f33513,f262]) ).
fof(f33513,plain,
initiates(overflow,waterLevel(n3),sK14(filling,n3,n0)),
inference(unit_resulting_resolution,[],[f33500,f301]) ).
fof(f33500,plain,
sP8(sK14(filling,n3,n0),overflow,waterLevel(n3)),
inference(unit_resulting_resolution,[],[f33458,f288]) ).
fof(f288,plain,
! [X2,X0,X1] :
( ~ sP6(X2,X1,X0)
| sP8(X0,X1,X2) ),
inference(cnf_transformation,[],[f178]) ).
fof(f33458,plain,
sP6(waterLevel(n3),overflow,sK14(filling,n3,n0)),
inference(unit_resulting_resolution,[],[f33436,f321]) ).
fof(f33436,plain,
holdsAt(waterLevel(n3),sK14(filling,n3,n0)),
inference(unit_resulting_resolution,[],[f33431,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(f33431,plain,
sP0(overflow,sK14(filling,n3,n0)),
inference(unit_resulting_resolution,[],[f199,f33397,f248]) ).
fof(f248,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| tapOn = X1
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f33397,plain,
sP1(sK14(filling,n3,n0),overflow),
inference(superposition,[],[f33062,f33393]) ).
fof(f33393,plain,
overflow = sK13(filling,n3,n0),
inference(subsumption_resolution,[],[f33383,f1154]) ).
fof(f1154,plain,
! [X0] : ~ happens(tapOff,X0),
inference(unit_resulting_resolution,[],[f1138,f256]) ).
fof(f256,plain,
! [X0,X1] :
( ~ happens(X0,X1)
| sP1(X1,X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f1138,plain,
! [X0] : ~ sP1(X0,tapOff),
inference(unit_resulting_resolution,[],[f868,f198,f248]) ).
fof(f198,plain,
tapOn != tapOff,
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
tapOn != tapOff,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tapOff_not_tapOn) ).
fof(f868,plain,
! [X0] : ~ sP0(tapOff,X0),
inference(unit_resulting_resolution,[],[f200,f254]) ).
fof(f254,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| overflow = X0 ),
inference(cnf_transformation,[],[f158]) ).
fof(f200,plain,
overflow != tapOff,
inference(cnf_transformation,[],[f20]) ).
fof(f20,axiom,
overflow != tapOff,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tapOff_not_overflow) ).
fof(f33383,plain,
( happens(tapOff,sK14(filling,n3,n0))
| overflow = sK13(filling,n3,n0) ),
inference(superposition,[],[f32824,f33272]) ).
fof(f33272,plain,
( tapOff = sK13(filling,n3,n0)
| overflow = sK13(filling,n3,n0) ),
inference(resolution,[],[f33082,f278]) ).
fof(f278,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| tapOff = X1 ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1] :
( ( sP3(X0,X1)
| filling != X0
| tapOff != X1 )
& ( ( filling = X0
& tapOff = X1 )
| ~ sP3(X0,X1) ) ),
inference(rectify,[],[f173]) ).
fof(f173,plain,
! [X1,X0] :
( ( sP3(X1,X0)
| filling != X1
| tapOff != X0 )
& ( ( filling = X1
& tapOff = X0 )
| ~ sP3(X1,X0) ) ),
inference(flattening,[],[f172]) ).
fof(f172,plain,
! [X1,X0] :
( ( sP3(X1,X0)
| filling != X1
| tapOff != X0 )
& ( ( filling = X1
& tapOff = X0 )
| ~ sP3(X1,X0) ) ),
inference(nnf_transformation,[],[f125]) ).
fof(f33082,plain,
( sP3(filling,sK13(filling,n3,n0))
| overflow = sK13(filling,n3,n0) ),
inference(resolution,[],[f33070,f274]) ).
fof(f274,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| sP3(X0,X1)
| overflow = X1 ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ( ( filling != X0
| overflow != X1 )
& ~ sP3(X0,X1) ) )
& ( ( filling = X0
& overflow = X1 )
| sP3(X0,X1)
| ~ sP4(X0,X1) ) ),
inference(rectify,[],[f170]) ).
fof(f170,plain,
! [X1,X0] :
( ( sP4(X1,X0)
| ( ( filling != X1
| overflow != X0 )
& ~ sP3(X1,X0) ) )
& ( ( filling = X1
& overflow = X0 )
| sP3(X1,X0)
| ~ sP4(X1,X0) ) ),
inference(flattening,[],[f169]) ).
fof(f169,plain,
! [X1,X0] :
( ( sP4(X1,X0)
| ( ( filling != X1
| overflow != X0 )
& ~ sP3(X1,X0) ) )
& ( ( filling = X1
& overflow = X0 )
| sP3(X1,X0)
| ~ sP4(X1,X0) ) ),
inference(nnf_transformation,[],[f126]) ).
fof(f33062,plain,
sP1(sK14(filling,n3,n0),sK13(filling,n3,n0)),
inference(unit_resulting_resolution,[],[f32824,f256]) ).
fof(f199,plain,
tapOn != overflow,
inference(cnf_transformation,[],[f21]) ).
fof(f21,axiom,
tapOn != overflow,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',overflow_not_tapOn) ).
fof(f33396,plain,
happens(overflow,sK14(filling,n3,n0)),
inference(superposition,[],[f32824,f33393]) ).
fof(f33092,plain,
! [X0] : ~ sP0(X0,plus(n1,sK14(filling,n3,n0))),
inference(unit_resulting_resolution,[],[f33074,f253]) ).
fof(f253,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| holdsAt(filling,X1) ),
inference(cnf_transformation,[],[f158]) ).
fof(f33074,plain,
~ holdsAt(filling,plus(n1,sK14(filling,n3,n0))),
inference(forward_demodulation,[],[f33069,f233]) ).
fof(f33069,plain,
~ holdsAt(filling,plus(sK14(filling,n3,n0),n1)),
inference(unit_resulting_resolution,[],[f32824,f32823,f261]) ).
fof(f39670,plain,
( n0 = sK14(filling,n3,n0)
| n0 = n2
| sP0(sK9(waterLevel(n3),n2),n2) ),
inference(resolution,[],[f39665,f249]) ).
fof(f249,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| n0 = X0
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f39665,plain,
( sP1(n2,sK9(waterLevel(n3),n2))
| n0 = sK14(filling,n3,n0) ),
inference(resolution,[],[f39147,f256]) ).
fof(f39147,plain,
( happens(sK9(waterLevel(n3),n2),n2)
| n0 = sK14(filling,n3,n0) ),
inference(subsumption_resolution,[],[f39143,f38994]) ).
fof(f38994,plain,
( ~ releasedAt(waterLevel(n3),n2)
| n0 = sK14(filling,n3,n0) ),
inference(forward_demodulation,[],[f38923,f204]) ).
fof(f38923,plain,
( ~ releasedAt(waterLevel(n3),plus(n1,n1))
| n0 = sK14(filling,n3,n0) ),
inference(superposition,[],[f33531,f38831]) ).
fof(f33531,plain,
~ releasedAt(waterLevel(n3),plus(n1,sK14(filling,n3,n0))),
inference(forward_demodulation,[],[f33522,f233]) ).
fof(f33522,plain,
~ releasedAt(waterLevel(n3),plus(sK14(filling,n3,n0),n1)),
inference(unit_resulting_resolution,[],[f33396,f33513,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(f39143,plain,
( n0 = sK14(filling,n3,n0)
| happens(sK9(waterLevel(n3),n2),n2)
| releasedAt(waterLevel(n3),n2) ),
inference(resolution,[],[f39135,f20792]) ).
fof(f20792,plain,
! [X0] :
( ~ releasedAt(X0,n3)
| happens(sK9(X0,n2),n2)
| releasedAt(X0,n2) ),
inference(superposition,[],[f11342,f205]) ).
fof(f11342,plain,
! [X0,X1] :
( ~ releasedAt(X1,plus(n1,X0))
| happens(sK9(X1,X0),X0)
| releasedAt(X1,X0) ),
inference(superposition,[],[f234,f233]) ).
fof(f234,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| happens(sK9(X0,X1),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(f39135,plain,
( releasedAt(waterLevel(n3),n3)
| n0 = sK14(filling,n3,n0) ),
inference(subsumption_resolution,[],[f39134,f191]) ).
fof(f39134,plain,
( holdsAt(waterLevel(n3),n3)
| releasedAt(waterLevel(n3),n3)
| n0 = sK14(filling,n3,n0) ),
inference(forward_demodulation,[],[f39133,f205]) ).
fof(f39133,plain,
( holdsAt(waterLevel(n3),plus(n1,n2))
| releasedAt(waterLevel(n3),n3)
| n0 = sK14(filling,n3,n0) ),
inference(forward_demodulation,[],[f39132,f233]) ).
fof(f39132,plain,
( releasedAt(waterLevel(n3),n3)
| n0 = sK14(filling,n3,n0)
| holdsAt(waterLevel(n3),plus(n2,n1)) ),
inference(forward_demodulation,[],[f39131,f205]) ).
fof(f39131,plain,
( releasedAt(waterLevel(n3),plus(n1,n2))
| n0 = sK14(filling,n3,n0)
| holdsAt(waterLevel(n3),plus(n2,n1)) ),
inference(forward_demodulation,[],[f39130,f233]) ).
fof(f39130,plain,
( n0 = sK14(filling,n3,n0)
| releasedAt(waterLevel(n3),plus(n2,n1))
| holdsAt(waterLevel(n3),plus(n2,n1)) ),
inference(subsumption_resolution,[],[f39128,f1196]) ).
fof(f1196,plain,
! [X2,X0,X1] : ~ terminates(X0,waterLevel(X1),X2),
inference(unit_resulting_resolution,[],[f1187,f281]) ).
fof(f1187,plain,
! [X0,X1] : ~ sP4(waterLevel(X0),X1),
inference(unit_resulting_resolution,[],[f882,f214,f275]) ).
fof(f275,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| sP3(X0,X1)
| filling = X0 ),
inference(cnf_transformation,[],[f171]) ).
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(f882,plain,
! [X0,X1] : ~ sP3(waterLevel(X0),X1),
inference(unit_resulting_resolution,[],[f214,f279]) ).
fof(f279,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| filling = X0 ),
inference(cnf_transformation,[],[f174]) ).
fof(f39128,plain,
( n0 = sK14(filling,n3,n0)
| terminates(sK12(waterLevel(n3),n2),waterLevel(n3),n2)
| releasedAt(waterLevel(n3),plus(n2,n1))
| holdsAt(waterLevel(n3),plus(n2,n1)) ),
inference(resolution,[],[f38993,f241]) ).
fof(f241,plain,
! [X0,X1] :
( ~ holdsAt(X0,X1)
| terminates(sK12(X0,X1),X0,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(f38993,plain,
( holdsAt(waterLevel(n3),n2)
| n0 = sK14(filling,n3,n0) ),
inference(forward_demodulation,[],[f38922,f204]) ).
fof(f38922,plain,
( holdsAt(waterLevel(n3),plus(n1,n1))
| n0 = sK14(filling,n3,n0) ),
inference(superposition,[],[f33530,f38831]) ).
fof(f32824,plain,
happens(sK13(filling,n3,n0),sK14(filling,n3,n0)),
inference(unit_resulting_resolution,[],[f32821,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(n2,n1),
inference(unit_resulting_resolution,[],[f305,f228]) ).
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
% 0.03/0.11 % Problem : CSR006+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.03/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 20:19:52 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % (16583)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.34 % (16586)WARNING: value z3 for option sas not known
% 0.12/0.35 % (16586)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)
% 0.12/0.35 % (16589)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)
% 0.12/0.35 % (16585)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.35 % (16590)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)
% 0.12/0.35 % (16588)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)
% 0.12/0.35 % (16584)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.12/0.35 % (16587)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.18/0.35 Detected minimum model sizes of [3]
% 0.18/0.35 Detected maximum model sizes of [max]
% 0.18/0.35 TRYING [3]
% 0.18/0.37 TRYING [4]
% 0.18/0.39 Detected minimum model sizes of [3]
% 0.18/0.39 Detected maximum model sizes of [max]
% 0.18/0.39 TRYING [5]
% 0.18/0.40 TRYING [3]
% 0.18/0.46 TRYING [6]
% 1.86/0.60 TRYING [7]
% 1.86/0.62 TRYING [4]
% 3.68/0.86 % (16590)First to succeed.
% 3.68/0.87 % (16590)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16583"
% 3.68/0.87 % (16590)Refutation found. Thanks to Tanya!
% 3.68/0.87 % SZS status Theorem for theBenchmark
% 3.68/0.87 % SZS output start Proof for theBenchmark
% See solution above
% 3.68/0.87 % (16590)------------------------------
% 3.68/0.87 % (16590)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.68/0.87 % (16590)Termination reason: Refutation
% 3.68/0.87
% 3.68/0.87 % (16590)Memory used [KB]: 2710
% 3.68/0.87 % (16590)Time elapsed: 0.524 s
% 3.68/0.87 % (16590)Instructions burned: 1388 (million)
% 3.68/0.87 % (16583)Success in time 0.524 s
%------------------------------------------------------------------------------