TSTP Solution File: CSR007+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : CSR007+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 : Fri May 3 02:11:03 EDT 2024
% Result : Theorem 95.70s 13.75s
% Output : CNFRefutation 95.70s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
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(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(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(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(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(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(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(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(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(f19,axiom,
tapOn != tapOff,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tapOff_not_tapOn) ).
fof(f27,axiom,
n1 = plus(n0,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).
fof(f28,axiom,
n2 = plus(n0,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_2) ).
fof(f30,axiom,
n2 = plus(n1,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_1) ).
fof(f36,axiom,
! [X11,X12] : plus(X11,X12) = plus(X12,X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_plus) ).
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(f38,axiom,
~ ? [X11] : less(X11,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less0) ).
fof(f39,axiom,
! [X11] :
( less(X11,n1)
<=> less_or_equal(X11,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less1) ).
fof(f40,axiom,
! [X11] :
( less(X11,n2)
<=> less_or_equal(X11,n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less2) ).
fof(f41,axiom,
! [X11] :
( less(X11,n3)
<=> less_or_equal(X11,n2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less3) ).
fof(f48,axiom,
! [X11,X12] :
( less(X11,X12)
<=> ( X11 != X12
& ~ less(X12,X11) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
fof(f49,axiom,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_0) ).
fof(f55,conjecture,
~ holdsAt(waterLevel(n3),n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterlevel_not_3) ).
fof(f56,negated_conjecture,
~ ~ holdsAt(waterLevel(n3),n2),
inference(negated_conjecture,[],[f55]) ).
fof(f58,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(f64,plain,
! [X0,X1,X2] :
( ( initiates(X0,X2,X1)
& happens(X0,X1) )
=> holdsAt(X2,plus(X1,n1)) ),
inference(rectify,[],[f9]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ( terminates(X0,X2,X1)
& happens(X0,X1) )
=> ~ holdsAt(X2,plus(X1,n1)) ),
inference(rectify,[],[f10]) ).
fof(f68,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(f69,plain,
! [X0,X1,X2] :
( terminates(X0,X1,X2)
<=> ( ( filling = X1
& overflow = X0 )
| ( filling = X1
& tapOff = X0 ) ) ),
inference(rectify,[],[f14]) ).
fof(f71,plain,
! [X0,X1] :
( happens(X0,X1)
<=> ( ( overflow = X0
& holdsAt(filling,X1)
& holdsAt(waterLevel(n3),X1) )
| ( n0 = X1
& tapOn = X0 ) ) ),
inference(rectify,[],[f16]) ).
fof(f72,plain,
! [X0,X1,X2,X3] :
( ( plus(X0,X3) = X2
& holdsAt(waterLevel(X0),X1) )
=> trajectory(filling,X1,waterLevel(X2),X3) ),
inference(rectify,[],[f17]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ( holdsAt(waterLevel(X2),X0)
& holdsAt(waterLevel(X1),X0) )
=> X1 = X2 ),
inference(rectify,[],[f18]) ).
fof(f77,plain,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
inference(rectify,[],[f36]) ).
fof(f78,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
<=> ( X0 = X1
| less(X0,X1) ) ),
inference(rectify,[],[f37]) ).
fof(f79,plain,
~ ? [X0] : less(X0,n0),
inference(rectify,[],[f38]) ).
fof(f80,plain,
! [X0] :
( less(X0,n1)
<=> less_or_equal(X0,n0) ),
inference(rectify,[],[f39]) ).
fof(f81,plain,
! [X0] :
( less(X0,n2)
<=> less_or_equal(X0,n1) ),
inference(rectify,[],[f40]) ).
fof(f82,plain,
! [X0] :
( less(X0,n3)
<=> less_or_equal(X0,n2) ),
inference(rectify,[],[f41]) ).
fof(f89,plain,
! [X0,X1] :
( less(X0,X1)
<=> ( X0 != X1
& ~ less(X1,X0) ) ),
inference(rectify,[],[f48]) ).
fof(f91,plain,
holdsAt(waterLevel(n3),n2),
inference(flattening,[],[f56]) ).
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(f96,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(f97,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,[],[f58]) ).
fof(f98,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,[],[f97]) ).
fof(f107,plain,
! [X0,X1,X2] :
( holdsAt(X2,plus(X1,n1))
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(ennf_transformation,[],[f64]) ).
fof(f108,plain,
! [X0,X1,X2] :
( holdsAt(X2,plus(X1,n1))
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0,X1,X2] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ terminates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(ennf_transformation,[],[f65]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ terminates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(flattening,[],[f109]) ).
fof(f115,plain,
! [X0,X1,X2,X3] :
( trajectory(filling,X1,waterLevel(X2),X3)
| plus(X0,X3) != X2
| ~ holdsAt(waterLevel(X0),X1) ),
inference(ennf_transformation,[],[f72]) ).
fof(f116,plain,
! [X0,X1,X2,X3] :
( trajectory(filling,X1,waterLevel(X2),X3)
| plus(X0,X3) != X2
| ~ holdsAt(waterLevel(X0),X1) ),
inference(flattening,[],[f115]) ).
fof(f117,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ holdsAt(waterLevel(X2),X0)
| ~ holdsAt(waterLevel(X1),X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f118,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ holdsAt(waterLevel(X2),X0)
| ~ holdsAt(waterLevel(X1),X0) ),
inference(flattening,[],[f117]) ).
fof(f119,plain,
! [X0] : ~ less(X0,n0),
inference(ennf_transformation,[],[f79]) ).
fof(f120,plain,
! [X1,X0,X2] :
( sP0(X1,X0,X2)
<=> ? [X4] :
( waterLevel(X4) = X1
& tapOff = X0
& holdsAt(waterLevel(X4),X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f121,plain,
! [X1,X0,X2] :
( sP1(X1,X0,X2)
<=> ? [X3] :
( waterLevel(X3) = X1
& overflow = X0
& holdsAt(waterLevel(X3),X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f122,plain,
! [X0,X1,X2] :
( initiates(X0,X1,X2)
<=> ( sP1(X1,X0,X2)
| sP0(X1,X0,X2)
| ( spilling = X1
& overflow = X0 )
| ( filling = X1
& tapOn = X0 ) ) ),
inference(definition_folding,[],[f68,f121,f120]) ).
fof(f123,plain,
! [X0,X1,X2] :
( ? [X3,X4] :
( terminates(X3,X1,X4)
& less(X4,X2)
& less(X0,X4)
& happens(X3,X4) )
=> ( terminates(sK2(X0,X1,X2),X1,sK3(X0,X1,X2))
& less(sK3(X0,X1,X2),X2)
& less(X0,sK3(X0,X1,X2))
& happens(sK2(X0,X1,X2),sK3(X0,X1,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ( terminates(sK2(X0,X1,X2),X1,sK3(X0,X1,X2))
& less(sK3(X0,X1,X2),X2)
& less(X0,sK3(X0,X1,X2))
& happens(sK2(X0,X1,X2),sK3(X0,X1,X2)) )
| ~ stoppedIn(X0,X1,X2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f96,f123]) ).
fof(f133,plain,
! [X1,X0,X2] :
( ( sP1(X1,X0,X2)
| ! [X3] :
( waterLevel(X3) != X1
| overflow != X0
| ~ holdsAt(waterLevel(X3),X2) ) )
& ( ? [X3] :
( waterLevel(X3) = X1
& overflow = X0
& holdsAt(waterLevel(X3),X2) )
| ~ sP1(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f121]) ).
fof(f134,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ! [X3] :
( waterLevel(X3) != X0
| overflow != X1
| ~ holdsAt(waterLevel(X3),X2) ) )
& ( ? [X4] :
( waterLevel(X4) = X0
& overflow = X1
& holdsAt(waterLevel(X4),X2) )
| ~ sP1(X0,X1,X2) ) ),
inference(rectify,[],[f133]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ? [X4] :
( waterLevel(X4) = X0
& overflow = X1
& holdsAt(waterLevel(X4),X2) )
=> ( waterLevel(sK8(X0,X1,X2)) = X0
& overflow = X1
& holdsAt(waterLevel(sK8(X0,X1,X2)),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X0,X1,X2] :
( ( sP1(X0,X1,X2)
| ! [X3] :
( waterLevel(X3) != X0
| overflow != X1
| ~ holdsAt(waterLevel(X3),X2) ) )
& ( ( waterLevel(sK8(X0,X1,X2)) = X0
& overflow = X1
& holdsAt(waterLevel(sK8(X0,X1,X2)),X2) )
| ~ sP1(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f134,f135]) ).
fof(f137,plain,
! [X1,X0,X2] :
( ( sP0(X1,X0,X2)
| ! [X4] :
( waterLevel(X4) != X1
| tapOff != X0
| ~ holdsAt(waterLevel(X4),X2) ) )
& ( ? [X4] :
( waterLevel(X4) = X1
& tapOff = X0
& holdsAt(waterLevel(X4),X2) )
| ~ sP0(X1,X0,X2) ) ),
inference(nnf_transformation,[],[f120]) ).
fof(f138,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ! [X3] :
( waterLevel(X3) != X0
| tapOff != X1
| ~ holdsAt(waterLevel(X3),X2) ) )
& ( ? [X4] :
( waterLevel(X4) = X0
& tapOff = X1
& holdsAt(waterLevel(X4),X2) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f137]) ).
fof(f139,plain,
! [X0,X1,X2] :
( ? [X4] :
( waterLevel(X4) = X0
& tapOff = X1
& holdsAt(waterLevel(X4),X2) )
=> ( waterLevel(sK9(X0,X1,X2)) = X0
& tapOff = X1
& holdsAt(waterLevel(sK9(X0,X1,X2)),X2) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ! [X3] :
( waterLevel(X3) != X0
| tapOff != X1
| ~ holdsAt(waterLevel(X3),X2) ) )
& ( ( waterLevel(sK9(X0,X1,X2)) = X0
& tapOff = X1
& holdsAt(waterLevel(sK9(X0,X1,X2)),X2) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f138,f139]) ).
fof(f141,plain,
! [X0,X1,X2] :
( ( initiates(X0,X1,X2)
| ( ~ sP1(X1,X0,X2)
& ~ sP0(X1,X0,X2)
& ( spilling != X1
| overflow != X0 )
& ( filling != X1
| tapOn != X0 ) ) )
& ( sP1(X1,X0,X2)
| sP0(X1,X0,X2)
| ( spilling = X1
& overflow = X0 )
| ( filling = X1
& tapOn = X0 )
| ~ initiates(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f122]) ).
fof(f142,plain,
! [X0,X1,X2] :
( ( initiates(X0,X1,X2)
| ( ~ sP1(X1,X0,X2)
& ~ sP0(X1,X0,X2)
& ( spilling != X1
| overflow != X0 )
& ( filling != X1
| tapOn != X0 ) ) )
& ( sP1(X1,X0,X2)
| sP0(X1,X0,X2)
| ( spilling = X1
& overflow = X0 )
| ( filling = X1
& tapOn = X0 )
| ~ initiates(X0,X1,X2) ) ),
inference(flattening,[],[f141]) ).
fof(f143,plain,
! [X0,X1,X2] :
( ( terminates(X0,X1,X2)
| ( ( filling != X1
| overflow != X0 )
& ( filling != X1
| tapOff != X0 ) ) )
& ( ( filling = X1
& overflow = X0 )
| ( filling = X1
& tapOff = X0 )
| ~ terminates(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f144,plain,
! [X0,X1,X2] :
( ( terminates(X0,X1,X2)
| ( ( filling != X1
| overflow != X0 )
& ( filling != X1
| tapOff != X0 ) ) )
& ( ( filling = X1
& overflow = X0 )
| ( filling = X1
& tapOff = X0 )
| ~ terminates(X0,X1,X2) ) ),
inference(flattening,[],[f143]) ).
fof(f149,plain,
! [X0,X1] :
( ( happens(X0,X1)
| ( ( overflow != X0
| ~ holdsAt(filling,X1)
| ~ holdsAt(waterLevel(n3),X1) )
& ( n0 != X1
| tapOn != X0 ) ) )
& ( ( overflow = X0
& holdsAt(filling,X1)
& holdsAt(waterLevel(n3),X1) )
| ( n0 = X1
& tapOn = X0 )
| ~ happens(X0,X1) ) ),
inference(nnf_transformation,[],[f71]) ).
fof(f150,plain,
! [X0,X1] :
( ( happens(X0,X1)
| ( ( overflow != X0
| ~ holdsAt(filling,X1)
| ~ holdsAt(waterLevel(n3),X1) )
& ( n0 != X1
| tapOn != X0 ) ) )
& ( ( overflow = X0
& holdsAt(filling,X1)
& holdsAt(waterLevel(n3),X1) )
| ( n0 = X1
& tapOn = X0 )
| ~ happens(X0,X1) ) ),
inference(flattening,[],[f149]) ).
fof(f152,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,[],[f78]) ).
fof(f153,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,[],[f152]) ).
fof(f154,plain,
! [X0] :
( ( less(X0,n1)
| ~ less_or_equal(X0,n0) )
& ( less_or_equal(X0,n0)
| ~ less(X0,n1) ) ),
inference(nnf_transformation,[],[f80]) ).
fof(f155,plain,
! [X0] :
( ( less(X0,n2)
| ~ less_or_equal(X0,n1) )
& ( less_or_equal(X0,n1)
| ~ less(X0,n2) ) ),
inference(nnf_transformation,[],[f81]) ).
fof(f156,plain,
! [X0] :
( ( less(X0,n3)
| ~ less_or_equal(X0,n2) )
& ( less_or_equal(X0,n2)
| ~ less(X0,n3) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f163,plain,
! [X0,X1] :
( ( less(X0,X1)
| X0 = X1
| less(X1,X0) )
& ( ( X0 != X1
& ~ less(X1,X0) )
| ~ less(X0,X1) ) ),
inference(nnf_transformation,[],[f89]) ).
fof(f164,plain,
! [X0,X1] :
( ( less(X0,X1)
| X0 = X1
| less(X1,X0) )
& ( ( X0 != X1
& ~ less(X1,X0) )
| ~ less(X0,X1) ) ),
inference(flattening,[],[f163]) ).
fof(f165,plain,
! [X2,X0,X1] :
( happens(sK2(X0,X1,X2),sK3(X0,X1,X2))
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f124]) ).
fof(f166,plain,
! [X2,X0,X1] :
( less(X0,sK3(X0,X1,X2))
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f124]) ).
fof(f167,plain,
! [X2,X0,X1] :
( less(sK3(X0,X1,X2),X2)
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f124]) ).
fof(f168,plain,
! [X2,X0,X1] :
( terminates(sK2(X0,X1,X2),X1,sK3(X0,X1,X2))
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f124]) ).
fof(f169,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,[],[f98]) ).
fof(f178,plain,
! [X2,X0,X1] :
( holdsAt(X2,plus(X1,n1))
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f179,plain,
! [X2,X0,X1] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ terminates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f186,plain,
! [X2,X3,X0,X1] :
( sP1(X0,X1,X2)
| waterLevel(X3) != X0
| overflow != X1
| ~ holdsAt(waterLevel(X3),X2) ),
inference(cnf_transformation,[],[f136]) ).
fof(f187,plain,
! [X2,X0,X1] :
( holdsAt(waterLevel(sK9(X0,X1,X2)),X2)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f190,plain,
! [X2,X3,X0,X1] :
( sP0(X0,X1,X2)
| waterLevel(X3) != X0
| tapOff != X1
| ~ holdsAt(waterLevel(X3),X2) ),
inference(cnf_transformation,[],[f140]) ).
fof(f195,plain,
! [X2,X0,X1] :
( initiates(X0,X1,X2)
| filling != X1
| tapOn != X0 ),
inference(cnf_transformation,[],[f142]) ).
fof(f198,plain,
! [X2,X0,X1] :
( initiates(X0,X1,X2)
| ~ sP1(X1,X0,X2) ),
inference(cnf_transformation,[],[f142]) ).
fof(f199,plain,
! [X2,X0,X1] :
( overflow = X0
| tapOff = X0
| ~ terminates(X0,X1,X2) ),
inference(cnf_transformation,[],[f144]) ).
fof(f204,plain,
! [X2,X0,X1] :
( terminates(X0,X1,X2)
| filling != X1
| overflow != X0 ),
inference(cnf_transformation,[],[f144]) ).
fof(f212,plain,
! [X0,X1] :
( overflow = X0
| tapOn = X0
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f213,plain,
! [X0,X1] :
( overflow = X0
| n0 = X1
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f214,plain,
! [X0,X1] :
( happens(X0,X1)
| n0 != X1
| tapOn != X0 ),
inference(cnf_transformation,[],[f150]) ).
fof(f216,plain,
! [X2,X3,X0,X1] :
( trajectory(filling,X1,waterLevel(X2),X3)
| plus(X0,X3) != X2
| ~ holdsAt(waterLevel(X0),X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f217,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ holdsAt(waterLevel(X2),X0)
| ~ holdsAt(waterLevel(X1),X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f218,plain,
tapOn != tapOff,
inference(cnf_transformation,[],[f19]) ).
fof(f227,plain,
n1 = plus(n0,n1),
inference(cnf_transformation,[],[f27]) ).
fof(f228,plain,
n2 = plus(n0,n2),
inference(cnf_transformation,[],[f28]) ).
fof(f230,plain,
n2 = plus(n1,n1),
inference(cnf_transformation,[],[f30]) ).
fof(f236,plain,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
inference(cnf_transformation,[],[f77]) ).
fof(f237,plain,
! [X0,X1] :
( X0 = X1
| less(X0,X1)
| ~ less_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f238,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f239,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f153]) ).
fof(f240,plain,
! [X0] : ~ less(X0,n0),
inference(cnf_transformation,[],[f119]) ).
fof(f241,plain,
! [X0] :
( less_or_equal(X0,n0)
| ~ less(X0,n1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f242,plain,
! [X0] :
( less(X0,n1)
| ~ less_or_equal(X0,n0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f243,plain,
! [X0] :
( less_or_equal(X0,n1)
| ~ less(X0,n2) ),
inference(cnf_transformation,[],[f155]) ).
fof(f244,plain,
! [X0] :
( less(X0,n2)
| ~ less_or_equal(X0,n1) ),
inference(cnf_transformation,[],[f155]) ).
fof(f246,plain,
! [X0] :
( less(X0,n3)
| ~ less_or_equal(X0,n2) ),
inference(cnf_transformation,[],[f156]) ).
fof(f259,plain,
! [X0,X1] :
( ~ less(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f260,plain,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f261,plain,
! [X0,X1] :
( less(X0,X1)
| X0 = X1
| less(X1,X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f262,plain,
holdsAt(waterLevel(n0),n0),
inference(cnf_transformation,[],[f49]) ).
fof(f268,plain,
holdsAt(waterLevel(n3),n2),
inference(cnf_transformation,[],[f91]) ).
fof(f269,plain,
! [X2,X3,X1] :
( sP1(waterLevel(X3),X1,X2)
| overflow != X1
| ~ holdsAt(waterLevel(X3),X2) ),
inference(equality_resolution,[],[f186]) ).
fof(f270,plain,
! [X2,X3] :
( sP1(waterLevel(X3),overflow,X2)
| ~ holdsAt(waterLevel(X3),X2) ),
inference(equality_resolution,[],[f269]) ).
fof(f271,plain,
! [X2,X3,X1] :
( sP0(waterLevel(X3),X1,X2)
| tapOff != X1
| ~ holdsAt(waterLevel(X3),X2) ),
inference(equality_resolution,[],[f190]) ).
fof(f272,plain,
! [X2,X3] :
( sP0(waterLevel(X3),tapOff,X2)
| ~ holdsAt(waterLevel(X3),X2) ),
inference(equality_resolution,[],[f271]) ).
fof(f275,plain,
! [X2,X0] :
( initiates(X0,filling,X2)
| tapOn != X0 ),
inference(equality_resolution,[],[f195]) ).
fof(f276,plain,
! [X2] : initiates(tapOn,filling,X2),
inference(equality_resolution,[],[f275]) ).
fof(f277,plain,
! [X2,X0] :
( terminates(X0,filling,X2)
| overflow != X0 ),
inference(equality_resolution,[],[f204]) ).
fof(f278,plain,
! [X2] : terminates(overflow,filling,X2),
inference(equality_resolution,[],[f277]) ).
fof(f284,plain,
! [X0] :
( happens(X0,n0)
| tapOn != X0 ),
inference(equality_resolution,[],[f214]) ).
fof(f285,plain,
happens(tapOn,n0),
inference(equality_resolution,[],[f284]) ).
fof(f286,plain,
! [X3,X0,X1] :
( trajectory(filling,X1,waterLevel(plus(X0,X3)),X3)
| ~ holdsAt(waterLevel(X0),X1) ),
inference(equality_resolution,[],[f216]) ).
fof(f288,plain,
! [X1] : less_or_equal(X1,X1),
inference(equality_resolution,[],[f239]) ).
fof(f289,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f260]) ).
cnf(c_49,plain,
( ~ stoppedIn(X0,X1,X2)
| terminates(sK2(X0,X1,X2),X1,sK3(X0,X1,X2)) ),
inference(cnf_transformation,[],[f168]) ).
cnf(c_50,plain,
( ~ stoppedIn(X0,X1,X2)
| less(sK3(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f167]) ).
cnf(c_51,plain,
( ~ stoppedIn(X0,X1,X2)
| less(X0,sK3(X0,X1,X2)) ),
inference(cnf_transformation,[],[f166]) ).
cnf(c_52,plain,
( ~ stoppedIn(X0,X1,X2)
| happens(sK2(X0,X1,X2),sK3(X0,X1,X2)) ),
inference(cnf_transformation,[],[f165]) ).
cnf(c_53,plain,
( ~ trajectory(X0,X1,X2,X3)
| ~ initiates(X4,X0,X1)
| ~ happens(X4,X1)
| ~ less(n0,X3)
| stoppedIn(X1,X0,plus(X1,X3))
| holdsAt(X2,plus(X1,X3)) ),
inference(cnf_transformation,[],[f169]) ).
cnf(c_62,plain,
( ~ initiates(X0,X1,X2)
| ~ happens(X0,X2)
| holdsAt(X1,plus(X2,n1)) ),
inference(cnf_transformation,[],[f178]) ).
cnf(c_63,plain,
( ~ holdsAt(X0,plus(X1,n1))
| ~ terminates(X2,X0,X1)
| ~ happens(X2,X1) ),
inference(cnf_transformation,[],[f179]) ).
cnf(c_67,plain,
( ~ holdsAt(waterLevel(X0),X1)
| sP1(waterLevel(X0),overflow,X1) ),
inference(cnf_transformation,[],[f270]) ).
cnf(c_71,plain,
( ~ holdsAt(waterLevel(X0),X1)
| sP0(waterLevel(X0),tapOff,X1) ),
inference(cnf_transformation,[],[f272]) ).
cnf(c_74,plain,
( ~ sP0(X0,X1,X2)
| holdsAt(waterLevel(sK9(X0,X1,X2)),X2) ),
inference(cnf_transformation,[],[f187]) ).
cnf(c_75,plain,
( ~ sP1(X0,X1,X2)
| initiates(X1,X0,X2) ),
inference(cnf_transformation,[],[f198]) ).
cnf(c_78,plain,
initiates(tapOn,filling,X0),
inference(cnf_transformation,[],[f276]) ).
cnf(c_83,plain,
terminates(overflow,filling,X0),
inference(cnf_transformation,[],[f278]) ).
cnf(c_88,plain,
( ~ terminates(X0,X1,X2)
| X0 = overflow
| X0 = tapOff ),
inference(cnf_transformation,[],[f199]) ).
cnf(c_93,plain,
happens(tapOn,n0),
inference(cnf_transformation,[],[f285]) ).
cnf(c_94,plain,
( ~ happens(X0,X1)
| X0 = overflow
| X1 = n0 ),
inference(cnf_transformation,[],[f213]) ).
cnf(c_95,plain,
( ~ happens(X0,X1)
| X0 = overflow
| X0 = tapOn ),
inference(cnf_transformation,[],[f212]) ).
cnf(c_100,plain,
( ~ holdsAt(waterLevel(X0),X1)
| trajectory(filling,X1,waterLevel(plus(X0,X2)),X2) ),
inference(cnf_transformation,[],[f286]) ).
cnf(c_101,plain,
( ~ holdsAt(waterLevel(X0),X1)
| ~ holdsAt(waterLevel(X2),X1)
| X0 = X2 ),
inference(cnf_transformation,[],[f217]) ).
cnf(c_102,plain,
tapOff != tapOn,
inference(cnf_transformation,[],[f218]) ).
cnf(c_110,plain,
plus(n0,n1) = n1,
inference(cnf_transformation,[],[f227]) ).
cnf(c_111,plain,
plus(n0,n2) = n2,
inference(cnf_transformation,[],[f228]) ).
cnf(c_113,plain,
plus(n1,n1) = n2,
inference(cnf_transformation,[],[f230]) ).
cnf(c_119,plain,
plus(X0,X1) = plus(X1,X0),
inference(cnf_transformation,[],[f236]) ).
cnf(c_120,plain,
less_or_equal(X0,X0),
inference(cnf_transformation,[],[f288]) ).
cnf(c_121,plain,
( ~ less(X0,X1)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f238]) ).
cnf(c_122,plain,
( ~ less_or_equal(X0,X1)
| X0 = X1
| less(X0,X1) ),
inference(cnf_transformation,[],[f237]) ).
cnf(c_123,plain,
~ less(X0,n0),
inference(cnf_transformation,[],[f240]) ).
cnf(c_124,plain,
( ~ less_or_equal(X0,n0)
| less(X0,n1) ),
inference(cnf_transformation,[],[f242]) ).
cnf(c_125,plain,
( ~ less(X0,n1)
| less_or_equal(X0,n0) ),
inference(cnf_transformation,[],[f241]) ).
cnf(c_126,plain,
( ~ less_or_equal(X0,n1)
| less(X0,n2) ),
inference(cnf_transformation,[],[f244]) ).
cnf(c_127,plain,
( ~ less(X0,n2)
| less_or_equal(X0,n1) ),
inference(cnf_transformation,[],[f243]) ).
cnf(c_128,plain,
( ~ less_or_equal(X0,n2)
| less(X0,n3) ),
inference(cnf_transformation,[],[f246]) ).
cnf(c_142,plain,
( X0 = X1
| less(X0,X1)
| less(X1,X0) ),
inference(cnf_transformation,[],[f261]) ).
cnf(c_143,plain,
~ less(X0,X0),
inference(cnf_transformation,[],[f289]) ).
cnf(c_144,plain,
( ~ less(X0,X1)
| ~ less(X1,X0) ),
inference(cnf_transformation,[],[f259]) ).
cnf(c_145,plain,
holdsAt(waterLevel(n0),n0),
inference(cnf_transformation,[],[f262]) ).
cnf(c_151,negated_conjecture,
holdsAt(waterLevel(n3),n2),
inference(cnf_transformation,[],[f268]) ).
cnf(c_152,plain,
less_or_equal(n1,n1),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_153,plain,
~ less(n1,n1),
inference(instantiation,[status(thm)],[c_143]) ).
cnf(c_177,plain,
( ~ less_or_equal(n1,n1)
| less(n1,n2) ),
inference(instantiation,[status(thm)],[c_126]) ).
cnf(c_186,plain,
( n1 = n1
| less(n1,n1) ),
inference(instantiation,[status(thm)],[c_142]) ).
cnf(c_230,plain,
( less_or_equal(X0,n0)
| ~ less(X0,n1) ),
inference(prop_impl_just,[status(thm)],[c_125]) ).
cnf(c_231,plain,
( ~ less(X0,n1)
| less_or_equal(X0,n0) ),
inference(renaming,[status(thm)],[c_230]) ).
cnf(c_240,plain,
( ~ less_or_equal(X0,n2)
| less(X0,n3) ),
inference(prop_impl_just,[status(thm)],[c_128]) ).
cnf(c_282,plain,
( ~ holdsAt(waterLevel(X0),X1)
| trajectory(filling,X1,waterLevel(plus(X0,X2)),X2) ),
inference(prop_impl_just,[status(thm)],[c_100]) ).
cnf(c_304,plain,
( ~ less(X0,X1)
| less_or_equal(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_121]) ).
cnf(c_1018,plain,
plus(n1,n0) = n1,
inference(demodulation,[status(thm)],[c_110,c_119]) ).
cnf(c_1315,plain,
( waterLevel(plus(X3,X4)) != X5
| X0 != filling
| X1 != X2
| X4 != X6
| ~ initiates(X7,X0,X1)
| ~ holdsAt(waterLevel(X3),X2)
| ~ happens(X7,X1)
| ~ less(n0,X6)
| stoppedIn(X1,X0,plus(X1,X6))
| holdsAt(X5,plus(X1,X6)) ),
inference(resolution_lifted,[status(thm)],[c_53,c_282]) ).
cnf(c_1316,plain,
( ~ holdsAt(waterLevel(X0),X1)
| ~ initiates(X2,filling,X1)
| ~ happens(X2,X1)
| ~ less(n0,X3)
| holdsAt(waterLevel(plus(X0,X3)),plus(X1,X3))
| stoppedIn(X1,filling,plus(X1,X3)) ),
inference(unflattening,[status(thm)],[c_1315]) ).
cnf(c_2770,plain,
( X0 != X1
| X2 != n0
| ~ less(X1,n1)
| X0 = X2
| less(X0,X2) ),
inference(resolution_lifted,[status(thm)],[c_122,c_231]) ).
cnf(c_2771,plain,
( ~ less(X0,n1)
| X0 = n0
| less(X0,n0) ),
inference(unflattening,[status(thm)],[c_2770]) ).
cnf(c_2772,plain,
( X0 = n0
| ~ less(X0,n1) ),
inference(global_subsumption_just,[status(thm)],[c_2771,c_123,c_2771]) ).
cnf(c_2773,plain,
( ~ less(X0,n1)
| X0 = n0 ),
inference(renaming,[status(thm)],[c_2772]) ).
cnf(c_2800,plain,
( X0 != X1
| X2 != n2
| ~ less(X0,X2)
| less(X1,n3) ),
inference(resolution_lifted,[status(thm)],[c_304,c_240]) ).
cnf(c_2801,plain,
( ~ less(X0,n2)
| less(X0,n3) ),
inference(unflattening,[status(thm)],[c_2800]) ).
cnf(c_2802,plain,
( ~ less(n1,n2)
| less(n1,n3) ),
inference(instantiation,[status(thm)],[c_2801]) ).
cnf(c_9978,plain,
waterLevel(n3) = sP0_iProver_def,
definition ).
cnf(c_9979,negated_conjecture,
holdsAt(sP0_iProver_def,n2),
inference(demodulation,[status(thm)],[c_151,c_9978]) ).
cnf(c_9985,plain,
( X0 != X1
| X2 != X3
| ~ less(X1,X3)
| less(X0,X2) ),
theory(equality) ).
cnf(c_9988,plain,
( X0 != X1
| X2 != X3
| ~ holdsAt(X1,X3)
| holdsAt(X0,X2) ),
theory(equality) ).
cnf(c_11672,plain,
less(n0,n1),
inference(superposition,[status(thm)],[c_120,c_124]) ).
cnf(c_11673,plain,
less_or_equal(n0,n1),
inference(superposition,[status(thm)],[c_11672,c_121]) ).
cnf(c_11684,plain,
less(n0,n2),
inference(superposition,[status(thm)],[c_11673,c_126]) ).
cnf(c_11955,plain,
( ~ holdsAt(waterLevel(X0),X1)
| initiates(overflow,waterLevel(X0),X1) ),
inference(superposition,[status(thm)],[c_67,c_75]) ).
cnf(c_12012,plain,
( X0 != sP0_iProver_def
| X1 != n2
| ~ holdsAt(sP0_iProver_def,n2)
| holdsAt(X0,X1) ),
inference(instantiation,[status(thm)],[c_9988]) ).
cnf(c_12041,plain,
( X0 = n1
| less(n1,X0)
| less_or_equal(X0,n0) ),
inference(superposition,[status(thm)],[c_142,c_125]) ).
cnf(c_12125,plain,
( ~ stoppedIn(X0,X1,n2)
| less_or_equal(sK3(X0,X1,n2),n1) ),
inference(superposition,[status(thm)],[c_50,c_127]) ).
cnf(c_12438,plain,
( ~ stoppedIn(X0,X1,X2)
| sK2(X0,X1,X2) = overflow
| sK2(X0,X1,X2) = tapOn ),
inference(superposition,[status(thm)],[c_52,c_95]) ).
cnf(c_12439,plain,
( ~ stoppedIn(X0,X1,X2)
| sK2(X0,X1,X2) = overflow
| sK3(X0,X1,X2) = n0 ),
inference(superposition,[status(thm)],[c_52,c_94]) ).
cnf(c_12552,plain,
( ~ happens(tapOn,X0)
| holdsAt(filling,plus(X0,n1)) ),
inference(superposition,[status(thm)],[c_78,c_62]) ).
cnf(c_12656,plain,
( ~ stoppedIn(X0,X1,X2)
| sK2(X0,X1,X2) = overflow
| sK2(X0,X1,X2) = tapOff ),
inference(superposition,[status(thm)],[c_49,c_88]) ).
cnf(c_12672,plain,
( ~ holdsAt(waterLevel(X0),X1)
| ~ holdsAt(sP0_iProver_def,X1)
| X0 = n3 ),
inference(superposition,[status(thm)],[c_9978,c_101]) ).
cnf(c_12705,plain,
( ~ holdsAt(X0,plus(n1,X1))
| ~ terminates(X2,X0,X1)
| ~ happens(X2,X1) ),
inference(superposition,[status(thm)],[c_119,c_63]) ).
cnf(c_12853,plain,
( ~ happens(tapOn,X0)
| holdsAt(filling,plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_119,c_12552]) ).
cnf(c_12879,plain,
( X0 != X1
| X2 != n3
| ~ less(X1,n3)
| less(X0,X2) ),
inference(instantiation,[status(thm)],[c_9985]) ).
cnf(c_12880,plain,
( n1 != n1
| n1 != n3
| ~ less(n1,n3)
| less(n1,n1) ),
inference(instantiation,[status(thm)],[c_12879]) ).
cnf(c_13186,plain,
( ~ happens(tapOn,n0)
| holdsAt(filling,n1) ),
inference(superposition,[status(thm)],[c_1018,c_12853]) ).
cnf(c_13190,plain,
holdsAt(filling,n1),
inference(forward_subsumption_resolution,[status(thm)],[c_13186,c_93]) ).
cnf(c_13223,plain,
( ~ holdsAt(waterLevel(X0),X1)
| ~ happens(overflow,X1)
| holdsAt(waterLevel(X0),plus(X1,n1)) ),
inference(superposition,[status(thm)],[c_11955,c_62]) ).
cnf(c_13228,plain,
( ~ holdsAt(waterLevel(n1),n1)
| ~ happens(overflow,n1)
| holdsAt(waterLevel(n1),plus(n1,n1)) ),
inference(instantiation,[status(thm)],[c_13223]) ).
cnf(c_13407,plain,
( waterLevel(n3) != sP0_iProver_def
| X0 != n2
| ~ holdsAt(sP0_iProver_def,n2)
| holdsAt(waterLevel(n3),X0) ),
inference(instantiation,[status(thm)],[c_12012]) ).
cnf(c_13431,plain,
( X0 = n0
| X0 = n1
| less(X0,n0)
| less(n1,X0) ),
inference(superposition,[status(thm)],[c_12041,c_122]) ).
cnf(c_13436,plain,
( X0 = n0
| X0 = n1
| less(n1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13431,c_123]) ).
cnf(c_14128,plain,
( ~ holdsAt(waterLevel(X0),X1)
| ~ less(n0,X2)
| ~ happens(tapOn,X1)
| holdsAt(waterLevel(plus(X0,X2)),plus(X1,X2))
| stoppedIn(X1,filling,plus(X1,X2)) ),
inference(superposition,[status(thm)],[c_78,c_1316]) ).
cnf(c_16209,plain,
( ~ holdsAt(waterLevel(X0),X1)
| ~ holdsAt(waterLevel(n3),X1)
| X0 = n3 ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_17184,plain,
( ~ stoppedIn(X0,X1,n2)
| sK3(X0,X1,n2) = n1
| less(sK3(X0,X1,n2),n1) ),
inference(superposition,[status(thm)],[c_12125,c_122]) ).
cnf(c_17327,plain,
( ~ less(X0,n1)
| X0 = n0
| X0 = n1 ),
inference(superposition,[status(thm)],[c_13436,c_144]) ).
cnf(c_20089,plain,
( ~ holdsAt(waterLevel(X0),n0)
| ~ less(n0,n2)
| ~ happens(tapOn,n0)
| holdsAt(waterLevel(plus(X0,n2)),n2)
| stoppedIn(n0,filling,plus(n0,n2)) ),
inference(superposition,[status(thm)],[c_111,c_14128]) ).
cnf(c_20149,plain,
( ~ holdsAt(waterLevel(X0),n0)
| ~ less(n0,n2)
| ~ happens(tapOn,n0)
| holdsAt(waterLevel(plus(X0,n2)),n2)
| stoppedIn(n0,filling,n2) ),
inference(light_normalisation,[status(thm)],[c_20089,c_111]) ).
cnf(c_20150,plain,
( ~ holdsAt(waterLevel(X0),n0)
| holdsAt(waterLevel(plus(X0,n2)),n2)
| stoppedIn(n0,filling,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20149,c_93,c_11684]) ).
cnf(c_21518,plain,
( plus(n1,n1) != n2
| waterLevel(n3) != sP0_iProver_def
| ~ holdsAt(sP0_iProver_def,n2)
| holdsAt(waterLevel(n3),plus(n1,n1)) ),
inference(instantiation,[status(thm)],[c_13407]) ).
cnf(c_24908,plain,
( X0 = n0
| ~ less(X0,n1) ),
inference(global_subsumption_just,[status(thm)],[c_17327,c_123,c_2771]) ).
cnf(c_24909,plain,
( ~ less(X0,n1)
| X0 = n0 ),
inference(renaming,[status(thm)],[c_24908]) ).
cnf(c_29039,plain,
( ~ stoppedIn(X0,X1,n2)
| sK3(X0,X1,n2) = n0
| sK3(X0,X1,n2) = n1 ),
inference(superposition,[status(thm)],[c_17184,c_24909]) ).
cnf(c_30031,plain,
( ~ terminates(X0,X1,n0)
| ~ happens(X0,n0)
| ~ holdsAt(X1,n1) ),
inference(superposition,[status(thm)],[c_1018,c_12705]) ).
cnf(c_30230,plain,
( ~ happens(overflow,n0)
| ~ holdsAt(filling,n1) ),
inference(superposition,[status(thm)],[c_83,c_30031]) ).
cnf(c_30232,plain,
~ happens(overflow,n0),
inference(forward_subsumption_resolution,[status(thm)],[c_30230,c_13190]) ).
cnf(c_32276,plain,
( ~ holdsAt(waterLevel(X0),n2)
| ~ holdsAt(waterLevel(n3),n2)
| X0 = n3 ),
inference(instantiation,[status(thm)],[c_16209]) ).
cnf(c_32277,plain,
( ~ holdsAt(waterLevel(n1),n2)
| ~ holdsAt(waterLevel(n3),n2)
| n1 = n3 ),
inference(instantiation,[status(thm)],[c_32276]) ).
cnf(c_32556,plain,
( ~ holdsAt(waterLevel(X0),n0)
| ~ holdsAt(sP0_iProver_def,n2)
| plus(X0,n2) = n3
| stoppedIn(n0,filling,n2) ),
inference(superposition,[status(thm)],[c_20150,c_12672]) ).
cnf(c_32568,plain,
( ~ holdsAt(waterLevel(X0),n0)
| plus(X0,n2) = n3
| stoppedIn(n0,filling,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32556,c_9979]) ).
cnf(c_32775,plain,
( plus(n0,n2) = n3
| stoppedIn(n0,filling,n2) ),
inference(superposition,[status(thm)],[c_145,c_32568]) ).
cnf(c_32777,plain,
( n3 = n2
| stoppedIn(n0,filling,n2) ),
inference(light_normalisation,[status(thm)],[c_32775,c_111]) ).
cnf(c_32816,plain,
( sK2(n0,filling,n2) = overflow
| sK2(n0,filling,n2) = tapOff
| n3 = n2 ),
inference(superposition,[status(thm)],[c_32777,c_12656]) ).
cnf(c_32817,plain,
( sK2(n0,filling,n2) = overflow
| sK3(n0,filling,n2) = n0
| n3 = n2 ),
inference(superposition,[status(thm)],[c_32777,c_12439]) ).
cnf(c_32818,plain,
( sK2(n0,filling,n2) = overflow
| sK2(n0,filling,n2) = tapOn
| n3 = n2 ),
inference(superposition,[status(thm)],[c_32777,c_12438]) ).
cnf(c_32820,plain,
( sK3(n0,filling,n2) = n0
| sK3(n0,filling,n2) = n1
| n3 = n2 ),
inference(superposition,[status(thm)],[c_32777,c_29039]) ).
cnf(c_32898,plain,
( ~ stoppedIn(n0,filling,n2)
| sK3(n0,filling,n2) = n0
| n3 = n2
| happens(overflow,sK3(n0,filling,n2)) ),
inference(superposition,[status(thm)],[c_32817,c_52]) ).
cnf(c_32917,plain,
( sK2(n0,filling,n2) = overflow
| tapOff = tapOn
| n3 = n2 ),
inference(superposition,[status(thm)],[c_32818,c_32816]) ).
cnf(c_32918,plain,
( sK2(n0,filling,n2) = overflow
| n3 = n2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_32917,c_102]) ).
cnf(c_32969,plain,
( ~ stoppedIn(n0,filling,n2)
| n3 = n2
| happens(overflow,sK3(n0,filling,n2)) ),
inference(superposition,[status(thm)],[c_32918,c_52]) ).
cnf(c_33349,plain,
( n3 = n2
| happens(overflow,sK3(n0,filling,n2)) ),
inference(global_subsumption_just,[status(thm)],[c_32898,c_32777,c_32969]) ).
cnf(c_33355,plain,
( sK3(n0,filling,n2) = n1
| n3 = n2
| happens(overflow,n0) ),
inference(superposition,[status(thm)],[c_32820,c_33349]) ).
cnf(c_33371,plain,
( sK3(n0,filling,n2) = n1
| n3 = n2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_33355,c_30232]) ).
cnf(c_33454,plain,
( n3 = n2
| happens(overflow,n1) ),
inference(superposition,[status(thm)],[c_33371,c_33349]) ).
cnf(c_43124,plain,
( ~ holdsAt(waterLevel(X0),plus(n1,n1))
| ~ holdsAt(waterLevel(n3),plus(n1,n1))
| X0 = n3 ),
inference(instantiation,[status(thm)],[c_16209]) ).
cnf(c_43125,plain,
( ~ holdsAt(waterLevel(n1),plus(n1,n1))
| ~ holdsAt(waterLevel(n3),plus(n1,n1))
| n1 = n3 ),
inference(instantiation,[status(thm)],[c_43124]) ).
cnf(c_278119,plain,
less(n0,n1),
inference(superposition,[status(thm)],[c_120,c_124]) ).
cnf(c_278133,plain,
less_or_equal(n0,n1),
inference(superposition,[status(thm)],[c_278119,c_121]) ).
cnf(c_278137,plain,
less(n0,n2),
inference(superposition,[status(thm)],[c_278133,c_126]) ).
cnf(c_278144,plain,
less(n2,n3),
inference(superposition,[status(thm)],[c_120,c_128]) ).
cnf(c_278416,plain,
( ~ holdsAt(waterLevel(X0),X1)
| initiates(overflow,waterLevel(X0),X1) ),
inference(superposition,[status(thm)],[c_67,c_75]) ).
cnf(c_278457,plain,
( X0 = n1
| less(n1,X0)
| less_or_equal(X0,n0) ),
inference(superposition,[status(thm)],[c_142,c_125]) ).
cnf(c_278567,plain,
( ~ stoppedIn(X0,X1,n1)
| less_or_equal(sK3(X0,X1,n1),n0) ),
inference(superposition,[status(thm)],[c_50,c_125]) ).
cnf(c_278568,plain,
( ~ stoppedIn(X0,X1,n2)
| less_or_equal(sK3(X0,X1,n2),n1) ),
inference(superposition,[status(thm)],[c_50,c_127]) ).
cnf(c_278961,plain,
( ~ stoppedIn(X0,X1,X2)
| sK2(X0,X1,X2) = overflow
| sK2(X0,X1,X2) = tapOff ),
inference(superposition,[status(thm)],[c_49,c_88]) ).
cnf(c_279083,plain,
( ~ holdsAt(waterLevel(X0),X1)
| ~ holdsAt(sP0_iProver_def,X1)
| X0 = n3 ),
inference(superposition,[status(thm)],[c_9978,c_101]) ).
cnf(c_279338,plain,
( ~ holdsAt(waterLevel(X0),X1)
| ~ happens(overflow,X1)
| holdsAt(waterLevel(X0),plus(X1,n1)) ),
inference(superposition,[status(thm)],[c_278416,c_62]) ).
cnf(c_279427,plain,
( X0 = n0
| X0 = n1
| less(X0,n0)
| less(n1,X0) ),
inference(superposition,[status(thm)],[c_278457,c_122]) ).
cnf(c_279432,plain,
( X0 = n0
| X0 = n1
| less(n1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_279427,c_123]) ).
cnf(c_280298,plain,
( ~ holdsAt(waterLevel(X0),X1)
| ~ less(n0,X2)
| ~ happens(tapOn,X1)
| holdsAt(waterLevel(plus(X0,X2)),plus(X1,X2))
| stoppedIn(X1,filling,plus(X1,X2)) ),
inference(superposition,[status(thm)],[c_78,c_1316]) ).
cnf(c_283220,plain,
( ~ stoppedIn(X0,X1,n1)
| sK3(X0,X1,n1) = n0
| less(sK3(X0,X1,n1),n0) ),
inference(superposition,[status(thm)],[c_278567,c_122]) ).
cnf(c_283224,plain,
( ~ stoppedIn(X0,X1,n1)
| sK3(X0,X1,n1) = n0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_283220,c_123]) ).
cnf(c_283241,plain,
( ~ stoppedIn(X0,X1,n2)
| sK3(X0,X1,n2) = n1
| less(sK3(X0,X1,n2),n1) ),
inference(superposition,[status(thm)],[c_278568,c_122]) ).
cnf(c_283358,plain,
( ~ less(X0,n1)
| X0 = n0
| X0 = n1 ),
inference(superposition,[status(thm)],[c_279432,c_144]) ).
cnf(c_285578,plain,
( ~ holdsAt(waterLevel(X0),X1)
| ~ less(n0,X2)
| ~ happens(tapOn,X1)
| holdsAt(waterLevel(plus(X0,X2)),plus(X1,X2))
| stoppedIn(X1,filling,plus(X2,X1)) ),
inference(superposition,[status(thm)],[c_119,c_280298]) ).
cnf(c_285595,plain,
( ~ holdsAt(waterLevel(X0),n0)
| ~ less(n0,n2)
| ~ happens(tapOn,n0)
| holdsAt(waterLevel(plus(X0,n2)),n2)
| stoppedIn(n0,filling,plus(n0,n2)) ),
inference(superposition,[status(thm)],[c_111,c_280298]) ).
cnf(c_285630,plain,
( ~ holdsAt(waterLevel(X0),n0)
| ~ less(n0,n2)
| ~ happens(tapOn,n0)
| holdsAt(waterLevel(plus(X0,n2)),n2)
| stoppedIn(n0,filling,n2) ),
inference(light_normalisation,[status(thm)],[c_285595,c_111]) ).
cnf(c_285631,plain,
( ~ holdsAt(waterLevel(X0),n0)
| holdsAt(waterLevel(plus(X0,n2)),n2)
| stoppedIn(n0,filling,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_285630,c_93,c_278137]) ).
cnf(c_308728,plain,
( X0 = n0
| ~ less(X0,n1) ),
inference(global_subsumption_just,[status(thm)],[c_283358,c_2773]) ).
cnf(c_308729,plain,
( ~ less(X0,n1)
| X0 = n0 ),
inference(renaming,[status(thm)],[c_308728]) ).
cnf(c_313007,plain,
( ~ stoppedIn(X0,X1,n2)
| sK3(X0,X1,n2) = n0
| sK3(X0,X1,n2) = n1 ),
inference(superposition,[status(thm)],[c_283241,c_308729]) ).
cnf(c_317327,plain,
( ~ holdsAt(waterLevel(X0),n0)
| ~ less(n0,n1)
| ~ happens(tapOn,n0)
| holdsAt(waterLevel(plus(X0,n1)),plus(n0,n1))
| stoppedIn(n0,filling,n1) ),
inference(superposition,[status(thm)],[c_1018,c_285578]) ).
cnf(c_317425,plain,
( ~ holdsAt(waterLevel(X0),n0)
| holdsAt(waterLevel(plus(X0,n1)),plus(n0,n1))
| stoppedIn(n0,filling,n1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_317327,c_93,c_278119]) ).
cnf(c_318250,plain,
( ~ holdsAt(waterLevel(X0),n1)
| ~ happens(overflow,n1)
| holdsAt(waterLevel(X0),n2) ),
inference(superposition,[status(thm)],[c_113,c_279338]) ).
cnf(c_318372,plain,
( ~ sP0(X0,X1,n1)
| ~ happens(overflow,n1)
| holdsAt(waterLevel(sK9(X0,X1,n1)),n2) ),
inference(superposition,[status(thm)],[c_74,c_318250]) ).
cnf(c_318577,plain,
( ~ holdsAt(waterLevel(X0),n0)
| ~ holdsAt(sP0_iProver_def,n2)
| plus(X0,n2) = n3
| stoppedIn(n0,filling,n2) ),
inference(superposition,[status(thm)],[c_285631,c_279083]) ).
cnf(c_318587,plain,
( ~ holdsAt(waterLevel(X0),n0)
| plus(X0,n2) = n3
| stoppedIn(n0,filling,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_318577,c_9979]) ).
cnf(c_318635,plain,
( plus(n0,n2) = n3
| stoppedIn(n0,filling,n2) ),
inference(superposition,[status(thm)],[c_145,c_318587]) ).
cnf(c_318637,plain,
( n3 = n2
| stoppedIn(n0,filling,n2) ),
inference(light_normalisation,[status(thm)],[c_318635,c_111]) ).
cnf(c_318713,plain,
( sK2(n0,filling,n2) = overflow
| sK2(n0,filling,n2) = tapOff
| n3 = n2 ),
inference(superposition,[status(thm)],[c_318637,c_278961]) ).
cnf(c_318717,plain,
( sK3(n0,filling,n2) = n0
| sK3(n0,filling,n2) = n1
| n3 = n2 ),
inference(superposition,[status(thm)],[c_318637,c_313007]) ).
cnf(c_318736,plain,
( sK2(n0,filling,n2) = overflow
| n3 = n2 ),
inference(global_subsumption_just,[status(thm)],[c_318713,c_32918]) ).
cnf(c_318743,plain,
( ~ stoppedIn(n0,filling,n2)
| n3 = n2
| happens(overflow,sK3(n0,filling,n2)) ),
inference(superposition,[status(thm)],[c_318736,c_52]) ).
cnf(c_319147,plain,
( sK3(n0,filling,n2) = n1
| n3 = n2 ),
inference(global_subsumption_just,[status(thm)],[c_318717,c_33371]) ).
cnf(c_319260,plain,
( n3 = n2
| happens(overflow,sK3(n0,filling,n2)) ),
inference(global_subsumption_just,[status(thm)],[c_318743,c_33349]) ).
cnf(c_319266,plain,
( n3 = n2
| happens(overflow,n1) ),
inference(superposition,[status(thm)],[c_319147,c_319260]) ).
cnf(c_331772,plain,
( ~ sP0(X0,X1,n1)
| ~ happens(overflow,n1)
| ~ holdsAt(sP0_iProver_def,n2)
| sK9(X0,X1,n1) = n3 ),
inference(superposition,[status(thm)],[c_318372,c_279083]) ).
cnf(c_331783,plain,
( ~ sP0(X0,X1,n1)
| ~ happens(overflow,n1)
| sK9(X0,X1,n1) = n3 ),
inference(forward_subsumption_resolution,[status(thm)],[c_331772,c_9979]) ).
cnf(c_332155,plain,
( ~ holdsAt(waterLevel(X0),n1)
| ~ happens(overflow,n1)
| sK9(waterLevel(X0),tapOff,n1) = n3 ),
inference(superposition,[status(thm)],[c_71,c_331783]) ).
cnf(c_346611,plain,
( ~ holdsAt(waterLevel(X0),n0)
| holdsAt(waterLevel(plus(X0,n1)),n1)
| stoppedIn(n0,filling,n1) ),
inference(demodulation,[status(thm)],[c_317425,c_119,c_1018]) ).
cnf(c_346619,plain,
( ~ holdsAt(waterLevel(X0),n0)
| holdsAt(waterLevel(plus(n1,X0)),n1)
| stoppedIn(n0,filling,n1) ),
inference(superposition,[status(thm)],[c_119,c_346611]) ).
cnf(c_346811,plain,
( ~ holdsAt(waterLevel(n0),n0)
| stoppedIn(n0,filling,n1)
| holdsAt(waterLevel(n1),n1) ),
inference(superposition,[status(thm)],[c_1018,c_346619]) ).
cnf(c_346830,plain,
( stoppedIn(n0,filling,n1)
| holdsAt(waterLevel(n1),n1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_346811,c_145]) ).
cnf(c_347071,plain,
( sK3(n0,filling,n1) = n0
| holdsAt(waterLevel(n1),n1) ),
inference(superposition,[status(thm)],[c_346830,c_283224]) ).
cnf(c_347107,plain,
( ~ happens(overflow,n1)
| sK9(waterLevel(n1),tapOff,n1) = n3
| sK3(n0,filling,n1) = n0 ),
inference(superposition,[status(thm)],[c_347071,c_332155]) ).
cnf(c_347109,plain,
( ~ happens(overflow,n1)
| sK3(n0,filling,n1) = n0
| holdsAt(waterLevel(n1),n2) ),
inference(superposition,[status(thm)],[c_347071,c_318250]) ).
cnf(c_347895,plain,
( ~ happens(overflow,n1)
| sK3(n0,filling,n1) = n0 ),
inference(global_subsumption_just,[status(thm)],[c_347107,c_152,c_151,c_153,c_177,c_186,c_2802,c_12880,c_32277,c_347109]) ).
cnf(c_347902,plain,
( sK3(n0,filling,n1) = n0
| n3 = n2 ),
inference(superposition,[status(thm)],[c_319266,c_347895]) ).
cnf(c_348279,plain,
( ~ stoppedIn(n0,filling,n1)
| n3 = n2
| less(n0,n0) ),
inference(superposition,[status(thm)],[c_347902,c_51]) ).
cnf(c_348307,plain,
( ~ stoppedIn(n0,filling,n1)
| n3 = n2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_348279,c_123]) ).
cnf(c_348310,plain,
n3 = n2,
inference(global_subsumption_just,[status(thm)],[c_348307,c_152,c_153,c_113,c_177,c_186,c_2802,c_9978,c_9979,c_12880,c_13228,c_21518,c_33454,c_43125,c_346830,c_348307]) ).
cnf(c_348822,plain,
less(n3,n3),
inference(demodulation,[status(thm)],[c_278144,c_348310]) ).
cnf(c_348840,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_348822,c_143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CSR007+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.03/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 2 22:59:05 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 95.70/13.75 % SZS status Started for theBenchmark.p
% 95.70/13.75 % SZS status Theorem for theBenchmark.p
% 95.70/13.75
% 95.70/13.75 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 95.70/13.75
% 95.70/13.75 ------ iProver source info
% 95.70/13.75
% 95.70/13.75 git: date: 2024-05-02 19:28:25 +0000
% 95.70/13.75 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 95.70/13.75 git: non_committed_changes: false
% 95.70/13.75
% 95.70/13.75 ------ Parsing...
% 95.70/13.75 ------ Clausification by vclausify_rel & Parsing by iProver...
% 95.70/13.75
% 95.70/13.75 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 3 0s sf_e pe_s pe_e
% 95.70/13.75
% 95.70/13.75 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 95.70/13.75
% 95.70/13.75 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 95.70/13.75 ------ Proving...
% 95.70/13.75 ------ Problem Properties
% 95.70/13.75
% 95.70/13.75
% 95.70/13.75 clauses 100
% 95.70/13.75 conjectures 1
% 95.70/13.75 EPR 53
% 95.70/13.75 Horn 77
% 95.70/13.75 unary 34
% 95.70/13.75 binary 37
% 95.70/13.75 lits 209
% 95.70/13.75 lits eq 49
% 95.70/13.75 fd_pure 0
% 95.70/13.75 fd_pseudo 0
% 95.70/13.75 fd_cond 14
% 95.70/13.75 fd_pseudo_cond 4
% 95.70/13.75 AC symbols 0
% 95.70/13.75
% 95.70/13.75 ------ Schedule dynamic 5 is on
% 95.70/13.75
% 95.70/13.75 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 95.70/13.75
% 95.70/13.75
% 95.70/13.75 ------
% 95.70/13.75 Current options:
% 95.70/13.75 ------
% 95.70/13.75
% 95.70/13.75
% 95.70/13.75
% 95.70/13.75
% 95.70/13.75 ------ Proving...
% 95.70/13.75 Proof_search_loop: time out after: 12259 full_loop iterations
% 95.70/13.75
% 95.70/13.75 ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 95.70/13.75
% 95.70/13.75
% 95.70/13.75 ------
% 95.70/13.75 Current options:
% 95.70/13.75 ------
% 95.70/13.75
% 95.70/13.75
% 95.70/13.75
% 95.70/13.75
% 95.70/13.75 ------ Proving...
% 95.70/13.75
% 95.70/13.75
% 95.70/13.75 % SZS status Theorem for theBenchmark.p
% 95.70/13.75
% 95.70/13.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 95.70/13.76
% 95.70/13.76
%------------------------------------------------------------------------------