TSTP Solution File: CSR002+2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : CSR002+2 : 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 02:11:01 EDT 2024
% Result : Theorem 17.11s 3.17s
% Output : CNFRefutation 17.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 27
% Syntax : Number of formulae : 190 ( 49 unt; 0 def)
% Number of atoms : 575 ( 173 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 619 ( 234 ~; 243 |; 108 &)
% ( 23 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 10 con; 0-2 aty)
% Number of variables : 302 ( 7 sgn 194 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X1,X4] :
( ( ~ ? [X3] :
( initiates(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_not_holding) ).
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(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(f22,axiom,
! [X11] : filling != waterLevel(X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',filling_not_waterLevel) ).
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(f32,axiom,
plus(n1,n3) = n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_3) ).
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(f42,axiom,
! [X11] :
( less(X11,n4)
<=> less_or_equal(X11,n3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less4) ).
fof(f48,axiom,
! [X11,X12] :
( less(X11,X12)
<=> ( X11 != X12
& ~ less(X12,X11) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
fof(f55,axiom,
holdsAt(waterLevel(n3),n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_3) ).
fof(f56,conjecture,
~ holdsAt(filling,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_filling_4) ).
fof(f57,negated_conjecture,
~ ~ holdsAt(filling,n4),
inference(negated_conjecture,[],[f56]) ).
fof(f62,plain,
! [X0,X1] :
( ( ~ ? [X2] :
( initiates(X2,X0,X1)
& happens(X2,X1) )
& ~ releasedAt(X0,plus(X1,n1))
& ~ holdsAt(X0,X1) )
=> ~ holdsAt(X0,plus(X1,n1)) ),
inference(rectify,[],[f6]) ).
fof(f64,plain,
! [X0,X1] :
( ( ~ ? [X2] :
( releases(X2,X0,X1)
& happens(X2,X1) )
& ~ releasedAt(X0,X1) )
=> ~ releasedAt(X0,plus(X1,n1)) ),
inference(rectify,[],[f8]) ).
fof(f66,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] :
( ( ( terminates(X0,X2,X1)
| initiates(X0,X2,X1) )
& happens(X0,X1) )
=> ~ releasedAt(X2,plus(X1,n1)) ),
inference(rectify,[],[f12]) ).
fof(f69,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(f70,plain,
! [X0,X1,X2] :
( terminates(X0,X1,X2)
<=> ( ( filling = X1
& overflow = X0 )
| ( filling = X1
& tapOff = X0 ) ) ),
inference(rectify,[],[f14]) ).
fof(f71,plain,
! [X0,X1,X2] :
( releases(X0,X1,X2)
<=> ? [X3] :
( waterLevel(X3) = X1
& tapOn = X0 ) ),
inference(rectify,[],[f15]) ).
fof(f72,plain,
! [X0,X1] :
( happens(X0,X1)
<=> ( ( overflow = X0
& holdsAt(filling,X1)
& holdsAt(waterLevel(n3),X1) )
| ( n0 = X1
& tapOn = X0 ) ) ),
inference(rectify,[],[f16]) ).
fof(f75,plain,
! [X0] : filling != waterLevel(X0),
inference(rectify,[],[f22]) ).
fof(f78,plain,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
inference(rectify,[],[f36]) ).
fof(f79,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
<=> ( X0 = X1
| less(X0,X1) ) ),
inference(rectify,[],[f37]) ).
fof(f81,plain,
! [X0] :
( less(X0,n1)
<=> less_or_equal(X0,n0) ),
inference(rectify,[],[f39]) ).
fof(f82,plain,
! [X0] :
( less(X0,n2)
<=> less_or_equal(X0,n1) ),
inference(rectify,[],[f40]) ).
fof(f83,plain,
! [X0] :
( less(X0,n3)
<=> less_or_equal(X0,n2) ),
inference(rectify,[],[f41]) ).
fof(f84,plain,
! [X0] :
( less(X0,n4)
<=> less_or_equal(X0,n3) ),
inference(rectify,[],[f42]) ).
fof(f90,plain,
! [X0,X1] :
( less(X0,X1)
<=> ( X0 != X1
& ~ less(X1,X0) ) ),
inference(rectify,[],[f48]) ).
fof(f92,plain,
holdsAt(filling,n4),
inference(flattening,[],[f57]) ).
fof(f102,plain,
! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| ? [X2] :
( initiates(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f103,plain,
! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| ? [X2] :
( initiates(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) ),
inference(flattening,[],[f102]) ).
fof(f106,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| ? [X2] :
( releases(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,X1) ),
inference(ennf_transformation,[],[f64]) ).
fof(f107,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| ? [X2] :
( releases(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,X1) ),
inference(flattening,[],[f106]) ).
fof(f110,plain,
! [X0,X1,X2] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ terminates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(ennf_transformation,[],[f66]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ terminates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(flattening,[],[f110]) ).
fof(f114,plain,
! [X0,X1,X2] :
( ~ releasedAt(X2,plus(X1,n1))
| ( ~ terminates(X0,X2,X1)
& ~ initiates(X0,X2,X1) )
| ~ happens(X0,X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ~ releasedAt(X2,plus(X1,n1))
| ( ~ terminates(X0,X2,X1)
& ~ initiates(X0,X2,X1) )
| ~ happens(X0,X1) ),
inference(flattening,[],[f114]) ).
fof(f121,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(f122,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(f123,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,[],[f69,f122,f121]) ).
fof(f128,plain,
! [X0,X1] :
( ? [X2] :
( initiates(X2,X0,X1)
& happens(X2,X1) )
=> ( initiates(sK5(X0,X1),X0,X1)
& happens(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| ( initiates(sK5(X0,X1),X0,X1)
& happens(sK5(X0,X1),X1) )
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f103,f128]) ).
fof(f132,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(f133,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])],[f107,f132]) ).
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(nnf_transformation,[],[f123]) ).
fof(f143,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,[],[f142]) ).
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(nnf_transformation,[],[f70]) ).
fof(f145,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,[],[f144]) ).
fof(f146,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,[],[f71]) ).
fof(f147,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,[],[f146]) ).
fof(f148,plain,
! [X0,X1] :
( ? [X4] :
( waterLevel(X4) = X1
& tapOn = X0 )
=> ( waterLevel(sK10(X0,X1)) = X1
& tapOn = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f149,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])],[f147,f148]) ).
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(nnf_transformation,[],[f72]) ).
fof(f151,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,[],[f150]) ).
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(nnf_transformation,[],[f79]) ).
fof(f154,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,[],[f153]) ).
fof(f155,plain,
! [X0] :
( ( less(X0,n1)
| ~ less_or_equal(X0,n0) )
& ( less_or_equal(X0,n0)
| ~ less(X0,n1) ) ),
inference(nnf_transformation,[],[f81]) ).
fof(f156,plain,
! [X0] :
( ( less(X0,n2)
| ~ less_or_equal(X0,n1) )
& ( less_or_equal(X0,n1)
| ~ less(X0,n2) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f157,plain,
! [X0] :
( ( less(X0,n3)
| ~ less_or_equal(X0,n2) )
& ( less_or_equal(X0,n2)
| ~ less(X0,n3) ) ),
inference(nnf_transformation,[],[f83]) ).
fof(f158,plain,
! [X0] :
( ( less(X0,n4)
| ~ less_or_equal(X0,n3) )
& ( less_or_equal(X0,n3)
| ~ less(X0,n4) ) ),
inference(nnf_transformation,[],[f84]) ).
fof(f164,plain,
! [X0,X1] :
( ( less(X0,X1)
| X0 = X1
| less(X1,X0) )
& ( ( X0 != X1
& ~ less(X1,X0) )
| ~ less(X0,X1) ) ),
inference(nnf_transformation,[],[f90]) ).
fof(f165,plain,
! [X0,X1] :
( ( less(X0,X1)
| X0 = X1
| less(X1,X0) )
& ( ( X0 != X1
& ~ less(X1,X0) )
| ~ less(X0,X1) ) ),
inference(flattening,[],[f164]) ).
fof(f173,plain,
! [X0,X1] :
( ~ holdsAt(X0,plus(X1,n1))
| happens(sK5(X0,X1),X1)
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f177,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| happens(sK7(X0,X1),X1)
| releasedAt(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f178,plain,
! [X0,X1] :
( ~ releasedAt(X0,plus(X1,n1))
| releases(sK7(X0,X1),X0,X1)
| releasedAt(X0,X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f180,plain,
! [X2,X0,X1] :
( ~ holdsAt(X2,plus(X1,n1))
| ~ terminates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f111]) ).
fof(f182,plain,
! [X2,X0,X1] :
( ~ releasedAt(X2,plus(X1,n1))
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f115]) ).
fof(f196,plain,
! [X2,X0,X1] :
( initiates(X0,X1,X2)
| filling != X1
| tapOn != X0 ),
inference(cnf_transformation,[],[f143]) ).
fof(f205,plain,
! [X2,X0,X1] :
( terminates(X0,X1,X2)
| filling != X1
| overflow != X0 ),
inference(cnf_transformation,[],[f145]) ).
fof(f207,plain,
! [X2,X0,X1] :
( waterLevel(sK10(X0,X1)) = X1
| ~ releases(X0,X1,X2) ),
inference(cnf_transformation,[],[f149]) ).
fof(f212,plain,
! [X0,X1] :
( holdsAt(filling,X1)
| n0 = X1
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f215,plain,
! [X0,X1] :
( happens(X0,X1)
| n0 != X1
| tapOn != X0 ),
inference(cnf_transformation,[],[f151]) ).
fof(f216,plain,
! [X0,X1] :
( happens(X0,X1)
| overflow != X0
| ~ holdsAt(filling,X1)
| ~ holdsAt(waterLevel(n3),X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f222,plain,
! [X0] : filling != waterLevel(X0),
inference(cnf_transformation,[],[f75]) ).
fof(f228,plain,
n1 = plus(n0,n1),
inference(cnf_transformation,[],[f27]) ).
fof(f231,plain,
n2 = plus(n1,n1),
inference(cnf_transformation,[],[f30]) ).
fof(f232,plain,
n3 = plus(n1,n2),
inference(cnf_transformation,[],[f31]) ).
fof(f233,plain,
plus(n1,n3) = n4,
inference(cnf_transformation,[],[f32]) ).
fof(f237,plain,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
inference(cnf_transformation,[],[f78]) ).
fof(f239,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f240,plain,
! [X0,X1] :
( less_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f154]) ).
fof(f243,plain,
! [X0] :
( less(X0,n1)
| ~ less_or_equal(X0,n0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f245,plain,
! [X0] :
( less(X0,n2)
| ~ less_or_equal(X0,n1) ),
inference(cnf_transformation,[],[f156]) ).
fof(f247,plain,
! [X0] :
( less(X0,n3)
| ~ less_or_equal(X0,n2) ),
inference(cnf_transformation,[],[f157]) ).
fof(f248,plain,
! [X0] :
( less_or_equal(X0,n3)
| ~ less(X0,n4) ),
inference(cnf_transformation,[],[f158]) ).
fof(f249,plain,
! [X0] :
( less(X0,n4)
| ~ less_or_equal(X0,n3) ),
inference(cnf_transformation,[],[f158]) ).
fof(f261,plain,
! [X0,X1] :
( X0 != X1
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f269,plain,
holdsAt(waterLevel(n3),n3),
inference(cnf_transformation,[],[f55]) ).
fof(f270,plain,
holdsAt(filling,n4),
inference(cnf_transformation,[],[f92]) ).
fof(f277,plain,
! [X2,X0] :
( initiates(X0,filling,X2)
| tapOn != X0 ),
inference(equality_resolution,[],[f196]) ).
fof(f278,plain,
! [X2] : initiates(tapOn,filling,X2),
inference(equality_resolution,[],[f277]) ).
fof(f279,plain,
! [X2,X0] :
( terminates(X0,filling,X2)
| overflow != X0 ),
inference(equality_resolution,[],[f205]) ).
fof(f280,plain,
! [X2] : terminates(overflow,filling,X2),
inference(equality_resolution,[],[f279]) ).
fof(f285,plain,
! [X1] :
( happens(overflow,X1)
| ~ holdsAt(filling,X1)
| ~ holdsAt(waterLevel(n3),X1) ),
inference(equality_resolution,[],[f216]) ).
fof(f286,plain,
! [X0] :
( happens(X0,n0)
| tapOn != X0 ),
inference(equality_resolution,[],[f215]) ).
fof(f287,plain,
happens(tapOn,n0),
inference(equality_resolution,[],[f286]) ).
fof(f290,plain,
! [X1] : less_or_equal(X1,X1),
inference(equality_resolution,[],[f240]) ).
fof(f291,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f261]) ).
cnf(c_57,plain,
( ~ holdsAt(X0,plus(X1,n1))
| happens(sK5(X0,X1),X1)
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) ),
inference(cnf_transformation,[],[f173]) ).
cnf(c_60,plain,
( ~ releasedAt(X0,plus(X1,n1))
| releases(sK7(X0,X1),X0,X1)
| releasedAt(X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
cnf(c_61,plain,
( ~ releasedAt(X0,plus(X1,n1))
| happens(sK7(X0,X1),X1)
| releasedAt(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
cnf(c_63,plain,
( ~ holdsAt(X0,plus(X1,n1))
| ~ terminates(X2,X0,X1)
| ~ happens(X2,X1) ),
inference(cnf_transformation,[],[f180]) ).
cnf(c_66,plain,
( ~ releasedAt(X0,plus(X1,n1))
| ~ initiates(X2,X0,X1)
| ~ happens(X2,X1) ),
inference(cnf_transformation,[],[f182]) ).
cnf(c_78,plain,
initiates(tapOn,filling,X0),
inference(cnf_transformation,[],[f278]) ).
cnf(c_83,plain,
terminates(overflow,filling,X0),
inference(cnf_transformation,[],[f280]) ).
cnf(c_90,plain,
( ~ releases(X0,X1,X2)
| waterLevel(sK10(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f207]) ).
cnf(c_92,plain,
( ~ holdsAt(waterLevel(n3),X0)
| ~ holdsAt(filling,X0)
| happens(overflow,X0) ),
inference(cnf_transformation,[],[f285]) ).
cnf(c_93,plain,
happens(tapOn,n0),
inference(cnf_transformation,[],[f287]) ).
cnf(c_96,plain,
( ~ happens(X0,X1)
| X1 = n0
| holdsAt(filling,X1) ),
inference(cnf_transformation,[],[f212]) ).
cnf(c_105,plain,
waterLevel(X0) != filling,
inference(cnf_transformation,[],[f222]) ).
cnf(c_110,plain,
plus(n0,n1) = n1,
inference(cnf_transformation,[],[f228]) ).
cnf(c_113,plain,
plus(n1,n1) = n2,
inference(cnf_transformation,[],[f231]) ).
cnf(c_114,plain,
plus(n1,n2) = n3,
inference(cnf_transformation,[],[f232]) ).
cnf(c_115,plain,
plus(n1,n3) = n4,
inference(cnf_transformation,[],[f233]) ).
cnf(c_119,plain,
plus(X0,X1) = plus(X1,X0),
inference(cnf_transformation,[],[f237]) ).
cnf(c_120,plain,
less_or_equal(X0,X0),
inference(cnf_transformation,[],[f290]) ).
cnf(c_121,plain,
( ~ less(X0,X1)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f239]) ).
cnf(c_124,plain,
( ~ less_or_equal(X0,n0)
| less(X0,n1) ),
inference(cnf_transformation,[],[f243]) ).
cnf(c_126,plain,
( ~ less_or_equal(X0,n1)
| less(X0,n2) ),
inference(cnf_transformation,[],[f245]) ).
cnf(c_128,plain,
( ~ less_or_equal(X0,n2)
| less(X0,n3) ),
inference(cnf_transformation,[],[f247]) ).
cnf(c_130,plain,
( ~ less_or_equal(X0,n3)
| less(X0,n4) ),
inference(cnf_transformation,[],[f249]) ).
cnf(c_131,plain,
( ~ less(X0,n4)
| less_or_equal(X0,n3) ),
inference(cnf_transformation,[],[f248]) ).
cnf(c_143,plain,
~ less(X0,X0),
inference(cnf_transformation,[],[f291]) ).
cnf(c_151,plain,
holdsAt(waterLevel(n3),n3),
inference(cnf_transformation,[],[f269]) ).
cnf(c_152,negated_conjecture,
holdsAt(filling,n4),
inference(cnf_transformation,[],[f270]) ).
cnf(c_153,plain,
less_or_equal(n1,n1),
inference(instantiation,[status(thm)],[c_120]) ).
cnf(c_154,plain,
~ less(n1,n1),
inference(instantiation,[status(thm)],[c_143]) ).
cnf(c_178,plain,
( ~ less_or_equal(n1,n1)
| less(n1,n2) ),
inference(instantiation,[status(thm)],[c_126]) ).
cnf(c_233,plain,
( ~ less_or_equal(X0,n0)
| less(X0,n1) ),
inference(prop_impl_just,[status(thm)],[c_124]) ).
cnf(c_241,plain,
( ~ less_or_equal(X0,n2)
| less(X0,n3) ),
inference(prop_impl_just,[status(thm)],[c_128]) ).
cnf(c_243,plain,
( less_or_equal(X0,n3)
| ~ less(X0,n4) ),
inference(prop_impl_just,[status(thm)],[c_131]) ).
cnf(c_244,plain,
( ~ less(X0,n4)
| less_or_equal(X0,n3) ),
inference(renaming,[status(thm)],[c_243]) ).
cnf(c_245,plain,
( ~ less_or_equal(X0,n3)
| less(X0,n4) ),
inference(prop_impl_just,[status(thm)],[c_130]) ).
cnf(c_277,plain,
( ~ releases(X0,X1,X2)
| waterLevel(sK10(X0,X1)) = X1 ),
inference(prop_impl_just,[status(thm)],[c_90]) ).
cnf(c_305,plain,
( ~ less(X0,X1)
| less_or_equal(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_121]) ).
cnf(c_1022,plain,
plus(n1,n0) = n1,
inference(demodulation,[status(thm)],[c_110,c_119]) ).
cnf(c_1358,plain,
( sK7(X0,X1) != X2
| X0 != X3
| X1 != X4
| ~ releasedAt(X0,plus(X1,n1))
| waterLevel(sK10(X2,X3)) = X3
| releasedAt(X0,X1) ),
inference(resolution_lifted,[status(thm)],[c_60,c_277]) ).
cnf(c_1359,plain,
( ~ releasedAt(X0,plus(X1,n1))
| waterLevel(sK10(sK7(X0,X1),X0)) = X0
| releasedAt(X0,X1) ),
inference(unflattening,[status(thm)],[c_1358]) ).
cnf(c_2804,plain,
( X0 != X1
| X2 != n2
| ~ less(X0,X2)
| less(X1,n3) ),
inference(resolution_lifted,[status(thm)],[c_305,c_241]) ).
cnf(c_2805,plain,
( ~ less(X0,n2)
| less(X0,n3) ),
inference(unflattening,[status(thm)],[c_2804]) ).
cnf(c_2806,plain,
( ~ less(n1,n2)
| less(n1,n3) ),
inference(instantiation,[status(thm)],[c_2805]) ).
cnf(c_2824,plain,
( X0 != X1
| X2 != n3
| ~ less(X0,X2)
| less(X1,n4) ),
inference(resolution_lifted,[status(thm)],[c_305,c_245]) ).
cnf(c_2825,plain,
( ~ less(X0,n3)
| less(X0,n4) ),
inference(unflattening,[status(thm)],[c_2824]) ).
cnf(c_2826,plain,
( ~ less(n1,n3)
| less(n1,n4) ),
inference(instantiation,[status(thm)],[c_2825]) ).
cnf(c_2988,plain,
( X0 != X1
| n0 != n3
| ~ less(X1,n4)
| less(X0,n1) ),
inference(resolution_lifted,[status(thm)],[c_233,c_244]) ).
cnf(c_2989,plain,
( n0 != n3
| ~ less(X0,n4)
| less(X0,n1) ),
inference(unflattening,[status(thm)],[c_2988]) ).
cnf(c_2990,plain,
( n0 != n3
| ~ less(n1,n4)
| less(n1,n1) ),
inference(instantiation,[status(thm)],[c_2989]) ).
cnf(c_9985,negated_conjecture,
holdsAt(filling,n4),
inference(demodulation,[status(thm)],[c_152]) ).
cnf(c_12320,plain,
( ~ holdsAt(filling,n3)
| happens(overflow,n3) ),
inference(superposition,[status(thm)],[c_151,c_92]) ).
cnf(c_12501,plain,
( ~ releasedAt(X0,plus(n1,X1))
| happens(sK7(X0,X1),X1)
| releasedAt(X0,X1) ),
inference(superposition,[status(thm)],[c_119,c_61]) ).
cnf(c_12704,plain,
( ~ holdsAt(X0,plus(n1,X1))
| ~ terminates(X2,X0,X1)
| ~ happens(X2,X1) ),
inference(superposition,[status(thm)],[c_119,c_63]) ).
cnf(c_12780,plain,
( ~ releasedAt(X0,plus(n1,X1))
| ~ initiates(X2,X0,X1)
| ~ happens(X2,X1) ),
inference(superposition,[status(thm)],[c_119,c_66]) ).
cnf(c_13116,plain,
( ~ holdsAt(X0,plus(n1,X1))
| happens(sK5(X0,X1),X1)
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1) ),
inference(superposition,[status(thm)],[c_119,c_57]) ).
cnf(c_25434,plain,
( ~ releasedAt(X0,n4)
| happens(sK7(X0,n3),n3)
| releasedAt(X0,n3) ),
inference(superposition,[status(thm)],[c_115,c_12501]) ).
cnf(c_25510,plain,
( ~ releasedAt(X0,n4)
| n0 = n3
| releasedAt(X0,n3)
| holdsAt(filling,n3) ),
inference(superposition,[status(thm)],[c_25434,c_96]) ).
cnf(c_28930,plain,
( ~ releasedAt(X0,n4)
| releasedAt(X0,n3)
| holdsAt(filling,n3) ),
inference(global_subsumption_just,[status(thm)],[c_25510,c_153,c_154,c_178,c_2806,c_2826,c_2990,c_25510]) ).
cnf(c_29836,plain,
( ~ terminates(X0,X1,n3)
| ~ happens(X0,n3)
| ~ holdsAt(X1,n4) ),
inference(superposition,[status(thm)],[c_115,c_12704]) ).
cnf(c_29924,plain,
( ~ happens(overflow,n3)
| ~ holdsAt(filling,n4) ),
inference(superposition,[status(thm)],[c_83,c_29836]) ).
cnf(c_29927,plain,
~ happens(overflow,n3),
inference(forward_subsumption_resolution,[status(thm)],[c_29924,c_9985]) ).
cnf(c_29938,plain,
~ holdsAt(filling,n3),
inference(backward_subsumption_resolution,[status(thm)],[c_12320,c_29927]) ).
cnf(c_29940,plain,
( ~ releasedAt(X0,n4)
| releasedAt(X0,n3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_28930,c_29938]) ).
cnf(c_30399,plain,
( ~ initiates(X0,X1,n0)
| ~ happens(X0,n0)
| ~ releasedAt(X1,n1) ),
inference(superposition,[status(thm)],[c_1022,c_12780]) ).
cnf(c_30588,plain,
( ~ happens(tapOn,n0)
| ~ releasedAt(filling,n1) ),
inference(superposition,[status(thm)],[c_78,c_30399]) ).
cnf(c_30591,plain,
~ releasedAt(filling,n1),
inference(forward_subsumption_resolution,[status(thm)],[c_30588,c_93]) ).
cnf(c_45510,plain,
( ~ releasedAt(X0,n2)
| waterLevel(sK10(sK7(X0,n1),X0)) = X0
| releasedAt(X0,n1) ),
inference(superposition,[status(thm)],[c_113,c_1359]) ).
cnf(c_45511,plain,
( ~ releasedAt(X0,plus(n1,X1))
| waterLevel(sK10(sK7(X0,X1),X0)) = X0
| releasedAt(X0,X1) ),
inference(superposition,[status(thm)],[c_119,c_1359]) ).
cnf(c_61069,plain,
( ~ releasedAt(X0,n3)
| waterLevel(sK10(sK7(X0,n2),X0)) = X0
| releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_114,c_45511]) ).
cnf(c_91731,plain,
( ~ holdsAt(X0,n4)
| happens(sK5(X0,n3),n3)
| releasedAt(X0,plus(n3,n1))
| holdsAt(X0,n3) ),
inference(superposition,[status(thm)],[c_115,c_13116]) ).
cnf(c_107611,plain,
( ~ holdsAt(X0,n4)
| happens(sK5(X0,n3),n3)
| holdsAt(X0,n3)
| releasedAt(X0,n4) ),
inference(demodulation,[status(thm)],[c_91731,c_115,c_119]) ).
cnf(c_107625,plain,
( ~ holdsAt(X0,n4)
| n0 = n3
| holdsAt(X0,n3)
| releasedAt(X0,n4)
| holdsAt(filling,n3) ),
inference(superposition,[status(thm)],[c_107611,c_96]) ).
cnf(c_107626,plain,
( ~ holdsAt(X0,n4)
| n0 = n3
| holdsAt(X0,n3)
| releasedAt(X0,n4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_107625,c_29938]) ).
cnf(c_107648,plain,
( ~ holdsAt(X0,n4)
| holdsAt(X0,n3)
| releasedAt(X0,n4) ),
inference(global_subsumption_just,[status(thm)],[c_107626,c_153,c_154,c_178,c_2806,c_2826,c_2990,c_107626]) ).
cnf(c_107663,plain,
( holdsAt(filling,n3)
| releasedAt(filling,n4) ),
inference(superposition,[status(thm)],[c_9985,c_107648]) ).
cnf(c_107678,plain,
releasedAt(filling,n4),
inference(forward_subsumption_resolution,[status(thm)],[c_107663,c_29938]) ).
cnf(c_107693,plain,
releasedAt(filling,n3),
inference(superposition,[status(thm)],[c_107678,c_29940]) ).
cnf(c_107737,plain,
( waterLevel(sK10(sK7(filling,n2),filling)) = filling
| releasedAt(filling,n2) ),
inference(superposition,[status(thm)],[c_107693,c_61069]) ).
cnf(c_107754,plain,
releasedAt(filling,n2),
inference(forward_subsumption_resolution,[status(thm)],[c_107737,c_105]) ).
cnf(c_107823,plain,
( waterLevel(sK10(sK7(filling,n1),filling)) = filling
| releasedAt(filling,n1) ),
inference(superposition,[status(thm)],[c_107754,c_45510]) ).
cnf(c_107832,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_107823,c_30591,c_105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : CSR002+2 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.08/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 23:10:50 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 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
% 17.11/3.17 % SZS status Started for theBenchmark.p
% 17.11/3.17 % SZS status Theorem for theBenchmark.p
% 17.11/3.17
% 17.11/3.17 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 17.11/3.17
% 17.11/3.17 ------ iProver source info
% 17.11/3.17
% 17.11/3.17 git: date: 2024-05-02 19:28:25 +0000
% 17.11/3.17 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 17.11/3.17 git: non_committed_changes: false
% 17.11/3.17
% 17.11/3.17 ------ Parsing...
% 17.11/3.17 ------ Clausification by vclausify_rel & Parsing by iProver...
% 17.11/3.17
% 17.11/3.17 ------ 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
% 17.11/3.17
% 17.11/3.17 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 17.11/3.17
% 17.11/3.17 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 17.11/3.17 ------ Proving...
% 17.11/3.17 ------ Problem Properties
% 17.11/3.17
% 17.11/3.17
% 17.11/3.17 clauses 100
% 17.11/3.17 conjectures 1
% 17.11/3.17 EPR 53
% 17.11/3.17 Horn 77
% 17.11/3.17 unary 34
% 17.11/3.17 binary 37
% 17.11/3.17 lits 209
% 17.11/3.17 lits eq 48
% 17.11/3.17 fd_pure 0
% 17.11/3.17 fd_pseudo 0
% 17.11/3.17 fd_cond 14
% 17.11/3.17 fd_pseudo_cond 4
% 17.11/3.17 AC symbols 0
% 17.11/3.17
% 17.11/3.17 ------ Schedule dynamic 5 is on
% 17.11/3.17
% 17.11/3.17 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.11/3.17
% 17.11/3.17
% 17.11/3.17 ------
% 17.11/3.17 Current options:
% 17.11/3.17 ------
% 17.11/3.17
% 17.11/3.17
% 17.11/3.17
% 17.11/3.17
% 17.11/3.17 ------ Proving...
% 17.11/3.17
% 17.11/3.17
% 17.11/3.17 % SZS status Theorem for theBenchmark.p
% 17.11/3.17
% 17.11/3.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.11/3.17
% 17.11/3.17
%------------------------------------------------------------------------------