TSTP Solution File: CSR014+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : CSR014+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 02:11:04 EDT 2024
% Result : Theorem 9.84s 2.11s
% Output : CNFRefutation 9.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 22
% Syntax : Number of formulae : 184 ( 39 unt; 0 def)
% Number of atoms : 559 ( 166 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 621 ( 246 ~; 246 |; 98 &)
% ( 21 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 304 ( 10 sgn 194 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(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(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(f15,axiom,
! [X3,X1,X4] :
( releases(X3,X1,X4)
<=> ? [X8] :
( waterLevel(X8) = X1
& tapOn = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',releases_all_defn) ).
fof(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(f27,axiom,
n1 = plus(n0,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).
fof(f30,axiom,
n2 = plus(n1,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_1) ).
fof(f31,axiom,
n3 = plus(n1,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_2) ).
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(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(f55,conjecture,
~ releasedAt(filling,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',filling_3_l1) ).
fof(f56,negated_conjecture,
~ ~ releasedAt(filling,n3),
inference(negated_conjecture,[],[f55]) ).
fof(f63,plain,
! [X0,X1] :
( ( ~ ? [X2] :
( releases(X2,X0,X1)
& happens(X2,X1) )
& ~ releasedAt(X0,X1) )
=> ~ releasedAt(X0,plus(X1,n1)) ),
inference(rectify,[],[f8]) ).
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(f67,plain,
! [X0,X1,X2] :
( ( ( terminates(X0,X2,X1)
| initiates(X0,X2,X1) )
& happens(X0,X1) )
=> ~ releasedAt(X2,plus(X1,n1)) ),
inference(rectify,[],[f12]) ).
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(f70,plain,
! [X0,X1,X2] :
( releases(X0,X1,X2)
<=> ? [X3] :
( waterLevel(X3) = X1
& tapOn = X0 ) ),
inference(rectify,[],[f15]) ).
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(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(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,
releasedAt(filling,n3),
inference(flattening,[],[f56]) ).
fof(f105,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| ? [X2] :
( releases(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,X1) ),
inference(ennf_transformation,[],[f63]) ).
fof(f106,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| ? [X2] :
( releases(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,X1) ),
inference(flattening,[],[f105]) ).
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(f113,plain,
! [X0,X1,X2] :
( ~ releasedAt(X2,plus(X1,n1))
| ( ~ terminates(X0,X2,X1)
& ~ initiates(X0,X2,X1) )
| ~ happens(X0,X1) ),
inference(ennf_transformation,[],[f67]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ~ releasedAt(X2,plus(X1,n1))
| ( ~ terminates(X0,X2,X1)
& ~ initiates(X0,X2,X1) )
| ~ happens(X0,X1) ),
inference(flattening,[],[f113]) ).
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(f131,plain,
! [X0,X1] :
( ? [X2] :
( releases(X2,X0,X1)
& happens(X2,X1) )
=> ( releases(sK7(X0,X1),X0,X1)
& happens(sK7(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f132,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| ( releases(sK7(X0,X1),X0,X1)
& happens(sK7(X0,X1),X1) )
| releasedAt(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f106,f131]) ).
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(f145,plain,
! [X0,X1,X2] :
( ( releases(X0,X1,X2)
| ! [X3] :
( waterLevel(X3) != X1
| tapOn != X0 ) )
& ( ? [X3] :
( waterLevel(X3) = X1
& tapOn = X0 )
| ~ releases(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f146,plain,
! [X0,X1,X2] :
( ( releases(X0,X1,X2)
| ! [X3] :
( waterLevel(X3) != X1
| tapOn != X0 ) )
& ( ? [X4] :
( waterLevel(X4) = X1
& tapOn = X0 )
| ~ releases(X0,X1,X2) ) ),
inference(rectify,[],[f145]) ).
fof(f147,plain,
! [X0,X1] :
( ? [X4] :
( waterLevel(X4) = X1
& tapOn = X0 )
=> ( waterLevel(sK10(X0,X1)) = X1
& tapOn = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
! [X0,X1,X2] :
( ( releases(X0,X1,X2)
| ! [X3] :
( waterLevel(X3) != X1
| tapOn != X0 ) )
& ( ( waterLevel(sK10(X0,X1)) = X1
& tapOn = X0 )
| ~ releases(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f146,f147]) ).
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(f176,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| happens(sK7(X0,X1),X1)
| releasedAt(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f177,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| releases(sK7(X0,X1),X0,X1)
| releasedAt(X0,X1) ),
inference(cnf_transformation,[],[f132]) ).
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(f181,plain,
! [X2,X0,X1] :
( ~ releasedAt(X2,plus(X1,n1))
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f182,plain,
! [X2,X0,X1] :
( ~ releasedAt(X2,plus(X1,n1))
| ~ terminates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f195,plain,
! [X2,X0,X1] :
( initiates(X0,X1,X2)
| filling != X1
| tapOn != X0 ),
inference(cnf_transformation,[],[f142]) ).
fof(f204,plain,
! [X2,X0,X1] :
( terminates(X0,X1,X2)
| filling != X1
| overflow != X0 ),
inference(cnf_transformation,[],[f144]) ).
fof(f205,plain,
! [X2,X0,X1] :
( tapOn = X0
| ~ releases(X0,X1,X2) ),
inference(cnf_transformation,[],[f148]) ).
fof(f209,plain,
! [X0,X1] :
( holdsAt(waterLevel(n3),X1)
| n0 = X1
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f211,plain,
! [X0,X1] :
( holdsAt(filling,X1)
| 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(f215,plain,
! [X0,X1] :
( happens(X0,X1)
| overflow != X0
| ~ holdsAt(filling,X1)
| ~ holdsAt(waterLevel(n3),X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f227,plain,
n1 = plus(n0,n1),
inference(cnf_transformation,[],[f27]) ).
fof(f230,plain,
n2 = plus(n1,n1),
inference(cnf_transformation,[],[f30]) ).
fof(f231,plain,
n3 = plus(n1,n2),
inference(cnf_transformation,[],[f31]) ).
fof(f236,plain,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
inference(cnf_transformation,[],[f77]) ).
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(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(f245,plain,
! [X0] :
( less_or_equal(X0,n2)
| ~ less(X0,n3) ),
inference(cnf_transformation,[],[f156]) ).
fof(f246,plain,
! [X0] :
( less(X0,n3)
| ~ less_or_equal(X0,n2) ),
inference(cnf_transformation,[],[f156]) ).
fof(f260,plain,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f268,plain,
releasedAt(filling,n3),
inference(cnf_transformation,[],[f91]) ).
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(f283,plain,
! [X1] :
( happens(overflow,X1)
| ~ holdsAt(filling,X1)
| ~ holdsAt(waterLevel(n3),X1) ),
inference(equality_resolution,[],[f215]) ).
fof(f284,plain,
! [X0] :
( happens(X0,n0)
| tapOn != X0 ),
inference(equality_resolution,[],[f214]) ).
fof(f285,plain,
happens(tapOn,n0),
inference(equality_resolution,[],[f284]) ).
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_60,plain,
( ~ releasedAt(X0,plus(X1,n1))
| releases(sK7(X0,X1),X0,X1)
| releasedAt(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
cnf(c_61,plain,
( ~ releasedAt(X0,plus(X1,n1))
| happens(sK7(X0,X1),X1)
| releasedAt(X0,X1) ),
inference(cnf_transformation,[],[f176]) ).
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_65,plain,
( ~ releasedAt(X0,plus(X1,n1))
| ~ terminates(X2,X0,X1)
| ~ happens(X2,X1) ),
inference(cnf_transformation,[],[f182]) ).
cnf(c_66,plain,
( ~ releasedAt(X0,plus(X1,n1))
| ~ initiates(X2,X0,X1)
| ~ happens(X2,X1) ),
inference(cnf_transformation,[],[f181]) ).
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_91,plain,
( ~ releases(X0,X1,X2)
| X0 = tapOn ),
inference(cnf_transformation,[],[f205]) ).
cnf(c_92,plain,
( ~ holdsAt(waterLevel(n3),X0)
| ~ holdsAt(filling,X0)
| happens(overflow,X0) ),
inference(cnf_transformation,[],[f283]) ).
cnf(c_93,plain,
happens(tapOn,n0),
inference(cnf_transformation,[],[f285]) ).
cnf(c_96,plain,
( ~ happens(X0,X1)
| X1 = n0
| holdsAt(filling,X1) ),
inference(cnf_transformation,[],[f211]) ).
cnf(c_98,plain,
( ~ happens(X0,X1)
| X1 = n0
| holdsAt(waterLevel(n3),X1) ),
inference(cnf_transformation,[],[f209]) ).
cnf(c_110,plain,
plus(n0,n1) = n1,
inference(cnf_transformation,[],[f227]) ).
cnf(c_113,plain,
plus(n1,n1) = n2,
inference(cnf_transformation,[],[f230]) ).
cnf(c_114,plain,
plus(n1,n2) = n3,
inference(cnf_transformation,[],[f231]) ).
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_124,plain,
( ~ less_or_equal(X0,n0)
| less(X0,n1) ),
inference(cnf_transformation,[],[f242]) ).
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_129,plain,
( ~ less(X0,n3)
| less_or_equal(X0,n2) ),
inference(cnf_transformation,[],[f245]) ).
cnf(c_143,plain,
~ less(X0,X0),
inference(cnf_transformation,[],[f289]) ).
cnf(c_151,negated_conjecture,
releasedAt(filling,n3),
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_198,plain,
( ~ holdsAt(waterLevel(n3),n1)
| ~ holdsAt(filling,n1)
| happens(overflow,n1) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_232,plain,
( ~ less_or_equal(X0,n0)
| less(X0,n1) ),
inference(prop_impl_just,[status(thm)],[c_124]) ).
cnf(c_234,plain,
( less_or_equal(X0,n1)
| ~ less(X0,n2) ),
inference(prop_impl_just,[status(thm)],[c_127]) ).
cnf(c_235,plain,
( ~ less(X0,n2)
| less_or_equal(X0,n1) ),
inference(renaming,[status(thm)],[c_234]) ).
cnf(c_238,plain,
( less_or_equal(X0,n2)
| ~ less(X0,n3) ),
inference(prop_impl_just,[status(thm)],[c_129]) ).
cnf(c_239,plain,
( ~ less(X0,n3)
| less_or_equal(X0,n2) ),
inference(renaming,[status(thm)],[c_238]) ).
cnf(c_240,plain,
( ~ less_or_equal(X0,n2)
| less(X0,n3) ),
inference(prop_impl_just,[status(thm)],[c_128]) ).
cnf(c_274,plain,
( ~ releases(X0,X1,X2)
| X0 = tapOn ),
inference(prop_impl_just,[status(thm)],[c_91]) ).
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_1342,plain,
( sK7(X0,X1) != X2
| X0 != X3
| X1 != X4
| ~ releasedAt(X0,plus(X1,n1))
| X2 = tapOn
| releasedAt(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_60,c_274]) ).
cnf(c_1343,plain,
( ~ releasedAt(X0,plus(X1,n1))
| sK7(X0,X1) = tapOn
| releasedAt(X0,X1) ),
inference(unflattening,[status(thm)],[c_1342]) ).
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_2948,plain,
( X0 != X1
| n0 != n1
| ~ less(X1,n2)
| less(X0,n1) ),
inference(resolution_lifted,[status(thm)],[c_232,c_235]) ).
cnf(c_2949,plain,
( n0 != n1
| ~ less(X0,n2)
| less(X0,n1) ),
inference(unflattening,[status(thm)],[c_2948]) ).
cnf(c_2950,plain,
( n0 != n1
| ~ less(n1,n2)
| less(n1,n1) ),
inference(instantiation,[status(thm)],[c_2949]) ).
cnf(c_2966,plain,
( X0 != X1
| n0 != n2
| ~ less(X1,n3)
| less(X0,n1) ),
inference(resolution_lifted,[status(thm)],[c_232,c_239]) ).
cnf(c_2967,plain,
( n0 != n2
| ~ less(X0,n3)
| less(X0,n1) ),
inference(unflattening,[status(thm)],[c_2966]) ).
cnf(c_2968,plain,
( n0 != n2
| ~ less(n1,n3)
| less(n1,n1) ),
inference(instantiation,[status(thm)],[c_2967]) ).
cnf(c_9978,negated_conjecture,
releasedAt(filling,n3),
inference(demodulation,[status(thm)],[c_151]) ).
cnf(c_12482,plain,
( ~ releasedAt(X0,n2)
| happens(sK7(X0,n1),n1)
| releasedAt(X0,n1) ),
inference(superposition,[status(thm)],[c_113,c_61]) ).
cnf(c_12483,plain,
( ~ releasedAt(X0,plus(n1,X1))
| happens(sK7(X0,X1),X1)
| releasedAt(X0,X1) ),
inference(superposition,[status(thm)],[c_119,c_61]) ).
cnf(c_12503,plain,
( ~ happens(tapOn,X0)
| holdsAt(filling,plus(X0,n1)) ),
inference(superposition,[status(thm)],[c_78,c_62]) ).
cnf(c_12540,plain,
( ~ terminates(X0,X1,n1)
| ~ happens(X0,n1)
| ~ holdsAt(X1,n2) ),
inference(superposition,[status(thm)],[c_113,c_63]) ).
cnf(c_12632,plain,
( ~ happens(tapOn,X0)
| holdsAt(filling,plus(n1,X0)) ),
inference(superposition,[status(thm)],[c_119,c_12503]) ).
cnf(c_12714,plain,
( ~ terminates(X0,X1,n1)
| ~ happens(X0,n1)
| ~ releasedAt(X1,n2) ),
inference(superposition,[status(thm)],[c_113,c_65]) ).
cnf(c_12715,plain,
( ~ releasedAt(X0,plus(n1,X1))
| ~ terminates(X2,X0,X1)
| ~ happens(X2,X1) ),
inference(superposition,[status(thm)],[c_119,c_65]) ).
cnf(c_12750,plain,
( ~ releasedAt(X0,plus(n1,X1))
| ~ initiates(X2,X0,X1)
| ~ happens(X2,X1) ),
inference(superposition,[status(thm)],[c_119,c_66]) ).
cnf(c_12797,plain,
( ~ happens(tapOn,n0)
| holdsAt(filling,n1) ),
inference(superposition,[status(thm)],[c_1018,c_12632]) ).
cnf(c_12799,plain,
holdsAt(filling,n1),
inference(forward_subsumption_resolution,[status(thm)],[c_12797,c_93]) ).
cnf(c_24164,plain,
( ~ releasedAt(X0,n2)
| n0 = n1
| holdsAt(waterLevel(n3),n1)
| releasedAt(X0,n1) ),
inference(superposition,[status(thm)],[c_12482,c_98]) ).
cnf(c_25309,plain,
( ~ happens(overflow,n1)
| ~ holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_83,c_12540]) ).
cnf(c_25436,plain,
( ~ happens(overflow,n1)
| ~ releasedAt(filling,n2) ),
inference(superposition,[status(thm)],[c_83,c_12714]) ).
cnf(c_25891,plain,
( ~ releasedAt(X0,n3)
| happens(sK7(X0,n2),n2)
| releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_114,c_12483]) ).
cnf(c_25962,plain,
( ~ releasedAt(X0,n3)
| n0 = n2
| holdsAt(waterLevel(n3),n2)
| releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_25891,c_98]) ).
cnf(c_25966,plain,
( ~ releasedAt(X0,n3)
| n0 = n2
| releasedAt(X0,n2)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_25891,c_96]) ).
cnf(c_29872,plain,
( ~ releasedAt(X0,n3)
| releasedAt(X0,n2)
| holdsAt(filling,n2) ),
inference(global_subsumption_just,[status(thm)],[c_25966,c_152,c_153,c_177,c_2802,c_2968,c_25966]) ).
cnf(c_29881,plain,
( holdsAt(filling,n2)
| releasedAt(filling,n2) ),
inference(superposition,[status(thm)],[c_9978,c_29872]) ).
cnf(c_31566,plain,
( ~ releasedAt(X0,n2)
| sK7(X0,n1) = tapOn
| releasedAt(X0,n1) ),
inference(superposition,[status(thm)],[c_113,c_1343]) ).
cnf(c_31585,plain,
( ~ releasedAt(X0,n2)
| releasedAt(X0,n1) ),
inference(global_subsumption_just,[status(thm)],[c_31566,c_152,c_153,c_177,c_198,c_2950,c_12799,c_24164,c_25309,c_25436,c_29881]) ).
cnf(c_31594,plain,
( holdsAt(filling,n2)
| releasedAt(filling,n1) ),
inference(superposition,[status(thm)],[c_29881,c_31585]) ).
cnf(c_32584,plain,
( ~ terminates(X0,X1,n2)
| ~ happens(X0,n2)
| ~ releasedAt(X1,n3) ),
inference(superposition,[status(thm)],[c_114,c_12715]) ).
cnf(c_32616,plain,
( ~ happens(overflow,n2)
| ~ releasedAt(filling,n3) ),
inference(superposition,[status(thm)],[c_83,c_32584]) ).
cnf(c_32619,plain,
~ happens(overflow,n2),
inference(forward_subsumption_resolution,[status(thm)],[c_32616,c_9978]) ).
cnf(c_32740,plain,
( ~ initiates(X0,X1,n0)
| ~ happens(X0,n0)
| ~ releasedAt(X1,n1) ),
inference(superposition,[status(thm)],[c_1018,c_12750]) ).
cnf(c_32868,plain,
( ~ happens(tapOn,n0)
| ~ releasedAt(filling,n1) ),
inference(superposition,[status(thm)],[c_78,c_32740]) ).
cnf(c_32871,plain,
~ releasedAt(filling,n1),
inference(forward_subsumption_resolution,[status(thm)],[c_32868,c_93]) ).
cnf(c_32877,plain,
holdsAt(filling,n2),
inference(backward_subsumption_resolution,[status(thm)],[c_31594,c_32871]) ).
cnf(c_34162,plain,
( ~ releasedAt(X0,n3)
| holdsAt(waterLevel(n3),n2)
| releasedAt(X0,n2) ),
inference(global_subsumption_just,[status(thm)],[c_25962,c_152,c_153,c_177,c_2802,c_2968,c_25962]) ).
cnf(c_34176,plain,
( ~ releasedAt(X0,n3)
| ~ holdsAt(filling,n2)
| releasedAt(X0,n2)
| happens(overflow,n2) ),
inference(superposition,[status(thm)],[c_34162,c_92]) ).
cnf(c_34180,plain,
( ~ releasedAt(X0,n3)
| releasedAt(X0,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34176,c_32619,c_32877]) ).
cnf(c_34310,plain,
releasedAt(filling,n2),
inference(superposition,[status(thm)],[c_9978,c_34180]) ).
cnf(c_34336,plain,
releasedAt(filling,n1),
inference(superposition,[status(thm)],[c_34310,c_31585]) ).
cnf(c_34337,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_34336,c_32871]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : CSR014+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.00/0.11 % Command : run_iprover %s %d THM
% 0.09/0.31 % Computer : n027.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Thu May 2 23:27:35 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 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
% 9.84/2.11 % SZS status Started for theBenchmark.p
% 9.84/2.11 % SZS status Theorem for theBenchmark.p
% 9.84/2.11
% 9.84/2.11 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 9.84/2.11
% 9.84/2.11 ------ iProver source info
% 9.84/2.11
% 9.84/2.11 git: date: 2024-05-02 19:28:25 +0000
% 9.84/2.11 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 9.84/2.11 git: non_committed_changes: false
% 9.84/2.11
% 9.84/2.11 ------ Parsing...
% 9.84/2.11 ------ Clausification by vclausify_rel & Parsing by iProver...
% 9.84/2.11
% 9.84/2.11 ------ 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
% 9.84/2.11
% 9.84/2.11 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 9.84/2.11
% 9.84/2.11 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 9.84/2.11 ------ Proving...
% 9.84/2.11 ------ Problem Properties
% 9.84/2.11
% 9.84/2.11
% 9.84/2.11 clauses 99
% 9.84/2.11 conjectures 1
% 9.84/2.11 EPR 53
% 9.84/2.11 Horn 76
% 9.84/2.11 unary 33
% 9.84/2.11 binary 37
% 9.84/2.11 lits 208
% 9.84/2.11 lits eq 48
% 9.84/2.11 fd_pure 0
% 9.84/2.11 fd_pseudo 0
% 9.84/2.11 fd_cond 14
% 9.84/2.11 fd_pseudo_cond 4
% 9.84/2.11 AC symbols 0
% 9.84/2.11
% 9.84/2.11 ------ Schedule dynamic 5 is on
% 9.84/2.11
% 9.84/2.11 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.84/2.11
% 9.84/2.11
% 9.84/2.11 ------
% 9.84/2.11 Current options:
% 9.84/2.11 ------
% 9.84/2.11
% 9.84/2.11
% 9.84/2.11
% 9.84/2.11
% 9.84/2.11 ------ Proving...
% 9.84/2.11
% 9.84/2.11
% 9.84/2.11 % SZS status Theorem for theBenchmark.p
% 9.84/2.11
% 9.84/2.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.84/2.11
% 9.84/2.11
%------------------------------------------------------------------------------