%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CSR014+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:09:53 PM UTC 2026
% Result : Theorem 4.80s 2.19s
% Output : CNFRefutation 4.80s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f89ERROR: Could not build tree for root c_32446ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( ( ~ ? [X2] :
( releases(X2,X0,X1)
& happens(X2,X1) )
& ~ releasedAt(X0,X1) )
=> ~ releasedAt(X0,plus(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',keep_not_released) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( initiates(X0,X2,X1)
& happens(X0,X1) )
=> holdsAt(X2,plus(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_holds) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( terminates(X0,X2,X1)
& happens(X0,X1) )
=> ~ holdsAt(X2,plus(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_terminates_not_holds) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( ( terminates(X0,X2,X1)
| initiates(X0,X2,X1) )
& happens(X0,X1) )
=> ~ releasedAt(X2,plus(X1,n1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',happens_not_released) ).
fof(f14,axiom,
! [X0,X1,X2] :
( terminates(X0,X1,X2)
<=> ( ( X1 = filling
& X0 = overflow )
| ( X1 = filling
& X0 = tapOff ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',terminates_all_defn) ).
fof(f15,axiom,
! [X0,X1,X2] :
( releases(X0,X1,X2)
<=> ? [X3] :
( X1 = waterLevel(X3)
& X0 = tapOn ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',releases_all_defn) ).
fof(f16,axiom,
! [X0,X1] :
( happens(X0,X1)
<=> ( ( X0 = overflow
& holdsAt(filling,X1)
& holdsAt(waterLevel(n3),X1) )
| ( X1 = n0
& X0 = tapOn ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',happens_all_defn) ).
fof(f27,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_1) ).
fof(f30,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_1) ).
fof(f31,axiom,
plus(n1,n2) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_2) ).
fof(f36,axiom,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_plus) ).
fof(f37,axiom,
! [X0,X1] :
( less_or_equal(X0,X1)
<=> ( X0 = X1
| less(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal) ).
fof(f39,axiom,
! [X0] :
( less(X0,n1)
<=> less_or_equal(X0,n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less1) ).
fof(f40,axiom,
! [X0] :
( less(X0,n2)
<=> less_or_equal(X0,n1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less2) ).
fof(f41,axiom,
! [X0] :
( less(X0,n3)
<=> less_or_equal(X0,n2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less3) ).
fof(f48,axiom,
! [X0,X1] :
( less(X0,X1)
<=> ( X1 != X0
& ~ less(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_property) ).
fof(f55,conjecture,
~ releasedAt(filling,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',filling_3_l1) ).
fof(f56,negated_conjecture,
~ ~ releasedAt(filling,n3),
inference(negated_conjecture,[status(cth)],[f55]) ).
fof(f58,plain,
releasedAt(filling,n3),
inference(flattening,[],[f56]) ).
fof(f72,plain,
! [X0,X1] :
( ? [X2] :
( releases(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,X1)
| ~ releasedAt(X0,plus(X1,n1)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f73,plain,
! [X0,X1] :
( ? [X2] :
( releases(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,X1)
| ~ releasedAt(X0,plus(X1,n1)) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ initiates(X0,X2,X1)
| ~ happens(X0,X1)
| holdsAt(X2,plus(X1,n1)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ~ initiates(X0,X2,X1)
| ~ happens(X0,X1)
| holdsAt(X2,plus(X1,n1)) ),
inference(flattening,[],[f74]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ~ terminates(X0,X2,X1)
| ~ happens(X0,X1)
| ~ holdsAt(X2,plus(X1,n1)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ~ terminates(X0,X2,X1)
| ~ happens(X0,X1)
| ~ holdsAt(X2,plus(X1,n1)) ),
inference(flattening,[],[f76]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ( ~ terminates(X0,X2,X1)
& ~ initiates(X0,X2,X1) )
| ~ happens(X0,X1)
| ~ releasedAt(X2,plus(X1,n1)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ( ~ terminates(X0,X2,X1)
& ~ initiates(X0,X2,X1) )
| ~ happens(X0,X1)
| ~ releasedAt(X2,plus(X1,n1)) ),
inference(flattening,[],[f80]) ).
fof(f94,plain,
! [X0,X1] :
( ( releases(sK7(X0,X1),X0,X1)
& happens(sK7(X0,X1),X1) )
| releasedAt(X0,X1)
| ~ releasedAt(X0,plus(X1,n1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f73]) ).
fof(f101,plain,
! [X0,X1,X2] :
( ( ~ initiates(X0,X1,X2)
| sP0(X2,X0,X1)
| sP1(X2,X0,X1)
| ( X1 = spilling
& X0 = overflow )
| ( X1 = filling
& X0 = tapOn ) )
& ( ( ~ sP0(X2,X0,X1)
& ~ sP1(X2,X0,X1)
& ( spilling != X1
| overflow != X0 )
& ( filling != X1
| tapOn != X0 ) )
| initiates(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f89]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ( ~ initiates(X0,X1,X2)
| sP0(X2,X0,X1)
| sP1(X2,X0,X1)
| ( X1 = spilling
& X0 = overflow )
| ( X1 = filling
& X0 = tapOn ) )
& ( ( ~ sP0(X2,X0,X1)
& ~ sP1(X2,X0,X1)
& ( spilling != X1
| overflow != X0 )
& ( filling != X1
| tapOn != X0 ) )
| initiates(X0,X1,X2) ) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ( ~ terminates(X0,X1,X2)
| ( X1 = filling
& X0 = overflow )
| ( X1 = filling
& X0 = tapOff ) )
& ( ( ( filling != X1
| overflow != X0 )
& ( filling != X1
| tapOff != X0 ) )
| terminates(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f104,plain,
! [X0,X1,X2] :
( ( ~ terminates(X0,X1,X2)
| ( X1 = filling
& X0 = overflow )
| ( X1 = filling
& X0 = tapOff ) )
& ( ( ( filling != X1
| overflow != X0 )
& ( filling != X1
| tapOff != X0 ) )
| terminates(X0,X1,X2) ) ),
inference(flattening,[],[f103]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ( ~ releases(X0,X1,X2)
| ? [X3] :
( X1 = waterLevel(X3)
& X0 = tapOn ) )
& ( ! [X3] :
( waterLevel(X3) != X1
| tapOn != X0 )
| releases(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ( ~ releases(X0,X1,X2)
| ? [X4] :
( waterLevel(X4) = X1
& X0 = tapOn ) )
& ( ! [X3] :
( waterLevel(X3) != X1
| tapOn != X0 )
| releases(X0,X1,X2) ) ),
inference(rectify,[],[f105]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ( ~ releases(X0,X1,X2)
| ( waterLevel(sK10(X0,X1)) = X1
& X0 = tapOn ) )
& ( ! [X3] :
( waterLevel(X3) != X1
| tapOn != X0 )
| releases(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X4,sK10(X0,X1))],[f106]) ).
fof(f108,plain,
! [X0,X1] :
( ( ~ happens(X0,X1)
| ( X0 = overflow
& holdsAt(filling,X1)
& holdsAt(waterLevel(n3),X1) )
| ( X1 = n0
& X0 = tapOn ) )
& ( ( ( overflow != X0
| ~ holdsAt(filling,X1)
| ~ holdsAt(waterLevel(n3),X1) )
& ( n0 != X1
| tapOn != X0 ) )
| happens(X0,X1) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f109,plain,
! [X0,X1] :
( ( ~ happens(X0,X1)
| ( X0 = overflow
& holdsAt(filling,X1)
& holdsAt(waterLevel(n3),X1) )
| ( X1 = n0
& X0 = tapOn ) )
& ( ( ( overflow != X0
| ~ holdsAt(filling,X1)
| ~ holdsAt(waterLevel(n3),X1) )
& ( n0 != X1
| tapOn != X0 ) )
| happens(X0,X1) ) ),
inference(flattening,[],[f108]) ).
fof(f111,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,[],[f37]) ).
fof(f112,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,[],[f111]) ).
fof(f113,plain,
! [X0] :
( ( ~ less(X0,n1)
| less_or_equal(X0,n0) )
& ( ~ less_or_equal(X0,n0)
| less(X0,n1) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f114,plain,
! [X0] :
( ( ~ less(X0,n2)
| less_or_equal(X0,n1) )
& ( ~ less_or_equal(X0,n1)
| less(X0,n2) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f115,plain,
! [X0] :
( ( ~ less(X0,n3)
| less_or_equal(X0,n2) )
& ( ~ less_or_equal(X0,n2)
| less(X0,n3) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f122,plain,
! [X0,X1] :
( ( ~ less(X0,X1)
| ( X1 != X0
& ~ less(X1,X0) ) )
& ( X0 = X1
| less(X1,X0)
| less(X0,X1) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f123,plain,
! [X0,X1] :
( ( ~ less(X0,X1)
| ( X1 != X0
& ~ less(X1,X0) ) )
& ( X0 = X1
| less(X1,X0)
| less(X0,X1) ) ),
inference(flattening,[],[f122]) ).
fof(f135,plain,
! [X0,X1] :
( releases(sK7(X0,X1),X0,X1)
| releasedAt(X0,X1)
| ~ releasedAt(X0,plus(X1,n1)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f136,plain,
! [X0,X1] :
( happens(sK7(X0,X1),X1)
| releasedAt(X0,X1)
| ~ releasedAt(X0,plus(X1,n1)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f137,plain,
! [X2,X0,X1] :
( ~ initiates(X0,X2,X1)
| ~ happens(X0,X1)
| holdsAt(X2,plus(X1,n1)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ terminates(X0,X2,X1)
| ~ happens(X0,X1)
| ~ holdsAt(X2,plus(X1,n1)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f140,plain,
! [X2,X0,X1] :
( ~ terminates(X0,X2,X1)
| ~ happens(X0,X1)
| ~ releasedAt(X2,plus(X1,n1)) ),
inference(cnf_transformation,[],[f81]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ initiates(X0,X2,X1)
| ~ happens(X0,X1)
| ~ releasedAt(X2,plus(X1,n1)) ),
inference(cnf_transformation,[],[f81]) ).
fof(f157,plain,
! [X2,X0,X1] :
( filling != X1
| tapOn != X0
| initiates(X0,X1,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f162,plain,
! [X2,X0,X1] :
( filling != X1
| overflow != X0
| terminates(X0,X1,X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ releases(X0,X1,X2)
| tapOn = X0 ),
inference(cnf_transformation,[],[f107]) ).
fof(f168,plain,
! [X0,X1] :
( ~ happens(X0,X1)
| holdsAt(filling,X1)
| n0 = X1 ),
inference(cnf_transformation,[],[f109]) ).
fof(f169,plain,
! [X0,X1] :
( ~ happens(X0,X1)
| holdsAt(waterLevel(n3),X1)
| n0 = X1 ),
inference(cnf_transformation,[],[f109]) ).
fof(f173,plain,
! [X0,X1] :
( overflow != X0
| ~ holdsAt(filling,X1)
| ~ holdsAt(waterLevel(n3),X1)
| happens(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f174,plain,
! [X0,X1] :
( n0 != X1
| tapOn != X0
| happens(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f186,plain,
n1 = plus(n0,n1),
inference(cnf_transformation,[],[f27]) ).
fof(f189,plain,
n2 = plus(n1,n1),
inference(cnf_transformation,[],[f30]) ).
fof(f190,plain,
n3 = plus(n1,n2),
inference(cnf_transformation,[],[f31]) ).
fof(f195,plain,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
inference(cnf_transformation,[],[f36]) ).
fof(f197,plain,
! [X0,X1] :
( X0 != X1
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f198,plain,
! [X0,X1] :
( ~ less(X0,X1)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f201,plain,
! [X0] :
( ~ less_or_equal(X0,n0)
| less(X0,n1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f202,plain,
! [X0] :
( ~ less(X0,n2)
| less_or_equal(X0,n1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f203,plain,
! [X0] :
( ~ less_or_equal(X0,n1)
| less(X0,n2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f204,plain,
! [X0] :
( ~ less(X0,n3)
| less_or_equal(X0,n2) ),
inference(cnf_transformation,[],[f115]) ).
fof(f205,plain,
! [X0] :
( ~ less_or_equal(X0,n2)
| less(X0,n3) ),
inference(cnf_transformation,[],[f115]) ).
fof(f218,plain,
! [X0,X1] :
( ~ less(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f123]) ).
fof(f227,plain,
releasedAt(filling,n3),
inference(cnf_transformation,[],[f58]) ).
fof(f232,plain,
! [X2,X1] :
( filling != X1
| initiates(tapOn,X1,X2) ),
inference(equality_resolution,[],[f157]) ).
fof(f233,plain,
! [X2] : initiates(tapOn,filling,X2),
inference(equality_resolution,[],[f232]) ).
fof(f238,plain,
! [X2,X1] :
( filling != X1
| terminates(overflow,X1,X2) ),
inference(equality_resolution,[],[f162]) ).
fof(f239,plain,
! [X2] : terminates(overflow,filling,X2),
inference(equality_resolution,[],[f238]) ).
fof(f242,plain,
! [X1] :
( n0 != X1
| happens(tapOn,X1) ),
inference(equality_resolution,[],[f174]) ).
fof(f243,plain,
happens(tapOn,n0),
inference(equality_resolution,[],[f242]) ).
fof(f244,plain,
! [X1] :
( ~ holdsAt(filling,X1)
| ~ holdsAt(waterLevel(n3),X1)
| happens(overflow,X1) ),
inference(equality_resolution,[],[f173]) ).
fof(f247,plain,
! [X1] : less_or_equal(X1,X1),
inference(equality_resolution,[],[f197]) ).
fof(f248,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f218]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( releasedAt(X0,X1)
| happens(sK7(X0,X1),X1)
| ~ releasedAt(X0,plus(X1,n1)) ),
inference(cnf_transformation,[],[f136]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] :
( releasedAt(X0,X1)
| releases(sK7(X0,X1),X0,X1)
| ~ releasedAt(X0,plus(X1,n1)) ),
inference(cnf_transformation,[],[f135]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( holdsAt(X1,plus(X2,n1))
| ~ happens(X0,X2)
| ~ initiates(X0,X1,X2) ),
inference(cnf_transformation,[],[f137]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ happens(X2,X1)
| ~ terminates(X2,X0,X1)
| ~ holdsAt(X0,plus(X1,n1)) ),
inference(cnf_transformation,[],[f138]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ happens(X2,X1)
| ~ initiates(X2,X0,X1)
| ~ releasedAt(X0,plus(X1,n1)) ),
inference(cnf_transformation,[],[f141]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ happens(X2,X1)
| ~ terminates(X2,X0,X1)
| ~ releasedAt(X0,plus(X1,n1)) ),
inference(cnf_transformation,[],[f140]) ).
tcf(c_75,plain,
! [X0: $i] : initiates(tapOn,filling,X0),
inference(cnf_transformation,[],[f233]) ).
tcf(c_84,plain,
! [X0: $i] : terminates(overflow,filling,X0),
inference(cnf_transformation,[],[f239]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = tapOn )
| ~ releases(X0,X1,X2) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_92,plain,
happens(tapOn,n0),
inference(cnf_transformation,[],[f243]) ).
tcf(c_93,plain,
! [X0: $i] :
( happens(overflow,X0)
| ~ holdsAt(filling,X0)
| ~ holdsAt(waterLevel(n3),X0) ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] :
( holdsAt(waterLevel(n3),X1)
| ( X1 = n0 )
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( holdsAt(filling,X1)
| ( X1 = n0 )
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_110,plain,
plus(n0,n1) = n1,
inference(cnf_transformation,[],[f186]) ).
tcf(c_113,plain,
plus(n1,n1) = n2,
inference(cnf_transformation,[],[f189]) ).
tcf(c_114,plain,
plus(n1,n2) = n3,
inference(cnf_transformation,[],[f190]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i] : plus(X0,X1) = plus(X1,X0),
inference(cnf_transformation,[],[f195]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i] :
( less_or_equal(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_121,plain,
! [X0: $i] : less_or_equal(X0,X0),
inference(cnf_transformation,[],[f247]) ).
tcf(c_124,plain,
! [X0: $i] :
( less(X0,n1)
| ~ less_or_equal(X0,n0) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_126,plain,
! [X0: $i] :
( less(X0,n2)
| ~ less_or_equal(X0,n1) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_127,plain,
! [X0: $i] :
( less_or_equal(X0,n1)
| ~ less(X0,n2) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_128,plain,
! [X0: $i] :
( less(X0,n3)
| ~ less_or_equal(X0,n2) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_129,plain,
! [X0: $i] :
( less_or_equal(X0,n2)
| ~ less(X0,n3) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_144,plain,
! [X0: $i] : ~ less(X0,X0),
inference(cnf_transformation,[],[f248]) ).
tcf(c_151,negated_conjecture,
releasedAt(filling,n3),
inference(cnf_transformation,[],[f227]) ).
tcf(c_152,plain,
less_or_equal(n1,n1),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_153,plain,
~ less(n1,n1),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_177,plain,
( less(n1,n2)
| ~ less_or_equal(n1,n1) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_198,plain,
( happens(overflow,n1)
| ~ holdsAt(filling,n1)
| ~ holdsAt(waterLevel(n3),n1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_232,plain,
! [X0: $i] :
( less(X0,n1)
| ~ less_or_equal(X0,n0) ),
inference(prop_impl_just,[status(thm)],[c_124]) ).
tcf(c_234,plain,
! [X0: $i] :
( ~ less(X0,n2)
| less_or_equal(X0,n1) ),
inference(prop_impl_just,[status(thm)],[c_127]) ).
tcf(c_235,plain,
! [X0: $i] :
( less_or_equal(X0,n1)
| ~ less(X0,n2) ),
inference(renaming,[status(thm)],[c_234]) ).
tcf(c_238,plain,
! [X0: $i] :
( ~ less(X0,n3)
| less_or_equal(X0,n2) ),
inference(prop_impl_just,[status(thm)],[c_129]) ).
tcf(c_239,plain,
! [X0: $i] :
( less_or_equal(X0,n2)
| ~ less(X0,n3) ),
inference(renaming,[status(thm)],[c_238]) ).
tcf(c_240,plain,
! [X0: $i] :
( less(X0,n3)
| ~ less_or_equal(X0,n2) ),
inference(prop_impl_just,[status(thm)],[c_128]) ).
tcf(c_274,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = tapOn )
| ~ releases(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_90]) ).
tcf(c_304,plain,
! [X0: $i,X1: $i] :
( less_or_equal(X0,X1)
| ~ less(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_120]) ).
tcf(c_1018,plain,
plus(n1,n0) = n1,
inference(demodulation,[status(thm)],[c_110,c_119]) ).
tcf(c_1354,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( releasedAt(X0,X1)
| ( X2 = tapOn )
| ~ releasedAt(X0,plus(X1,n1))
| ( X1 != X4 )
| ( X0 != X3 )
| ( sK7(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_61,c_274]) ).
tcf(c_1355,plain,
! [X0: $i,X1: $i] :
( releasedAt(X0,X1)
| ( sK7(X0,X1) = tapOn )
| ~ releasedAt(X0,plus(X1,n1)) ),
inference(unflattening,[status(thm)],[c_1354]) ).
tcf(c_2753,plain,
! [X0: $i,X1: $i,X2: $i] :
( less(X1,n3)
| ~ less(X0,X2)
| ( X2 != n2 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_304,c_240]) ).
tcf(c_2754,plain,
! [X0: $i] :
( less(X0,n3)
| ~ less(X0,n2) ),
inference(unflattening,[status(thm)],[c_2753]) ).
tcf(c_2755,plain,
( less(n1,n3)
| ~ less(n1,n2) ),
inference(instantiation,[status(thm)],[c_2754]) ).
tcf(c_2947,plain,
! [X0: $i,X1: $i] :
( less(X0,n1)
| ~ less(X1,n2)
| ( n0 != n1 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_232,c_235]) ).
tcf(c_2948,plain,
! [X0: $i] :
( less(X0,n1)
| ~ less(X0,n2)
| ( n0 != n1 ) ),
inference(unflattening,[status(thm)],[c_2947]) ).
tcf(c_2949,plain,
( less(n1,n1)
| ~ less(n1,n2)
| ( n0 != n1 ) ),
inference(instantiation,[status(thm)],[c_2948]) ).
tcf(c_2965,plain,
! [X0: $i,X1: $i] :
( less(X0,n1)
| ~ less(X1,n3)
| ( n0 != n2 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_232,c_239]) ).
tcf(c_2966,plain,
! [X0: $i] :
( less(X0,n1)
| ~ less(X0,n3)
| ( n0 != n2 ) ),
inference(unflattening,[status(thm)],[c_2965]) ).
tcf(c_2967,plain,
( less(n1,n1)
| ~ less(n1,n3)
| ( n0 != n2 ) ),
inference(instantiation,[status(thm)],[c_2966]) ).
tcf(c_9975,negated_conjecture,
releasedAt(filling,n3),
inference(demodulation,[status(thm)],[c_151]) ).
tcf(c_12491,plain,
! [X0: $i] :
( releasedAt(X0,n1)
| happens(sK7(X0,n1),n1)
| ~ releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_113,c_60]) ).
tcf(c_12492,plain,
! [X0: $i,X1: $i] :
( releasedAt(X0,X1)
| happens(sK7(X0,X1),X1)
| ~ releasedAt(X0,plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_119,c_60]) ).
tcf(c_12510,plain,
! [X0: $i] :
( holdsAt(filling,plus(X0,n1))
| ~ happens(tapOn,X0) ),
inference(superposition,[status(thm)],[c_75,c_62]) ).
tcf(c_12594,plain,
! [X0: $i] :
( holdsAt(filling,plus(n1,X0))
| ~ happens(tapOn,X0) ),
inference(superposition,[status(thm)],[c_119,c_12510]) ).
tcf(c_12641,plain,
( holdsAt(filling,n1)
| ~ happens(tapOn,n0) ),
inference(superposition,[status(thm)],[c_1018,c_12594]) ).
tcf(c_12642,plain,
holdsAt(filling,n1),
inference(forward_subsumption_resolution,[status(thm)],[c_12641,c_92]) ).
tcf(c_12725,plain,
! [X0: $i,X1: $i] :
( ~ holdsAt(X1,n2)
| ~ happens(X0,n1)
| ~ terminates(X0,X1,n1) ),
inference(superposition,[status(thm)],[c_113,c_63]) ).
tcf(c_12764,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ happens(X2,X1)
| ~ initiates(X2,X0,X1)
| ~ releasedAt(X0,plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_119,c_65]) ).
tcf(c_12806,plain,
! [X0: $i,X1: $i] :
( ~ releasedAt(X1,n2)
| ~ happens(X0,n1)
| ~ terminates(X0,X1,n1) ),
inference(superposition,[status(thm)],[c_113,c_66]) ).
tcf(c_12807,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ happens(X2,X1)
| ~ terminates(X2,X0,X1)
| ~ releasedAt(X0,plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_119,c_66]) ).
tcf(c_15298,plain,
( ~ releasedAt(filling,n2)
| ~ happens(overflow,n1) ),
inference(superposition,[status(thm)],[c_84,c_12806]) ).
tcf(c_23669,plain,
! [X0: $i] :
( releasedAt(X0,n1)
| holdsAt(waterLevel(n3),n1)
| ( n0 = n1 )
| ~ releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_12491,c_97]) ).
tcf(c_24821,plain,
( ~ holdsAt(filling,n2)
| ~ happens(overflow,n1) ),
inference(superposition,[status(thm)],[c_84,c_12725]) ).
tcf(c_25238,plain,
! [X0: $i] :
( releasedAt(X0,n2)
| happens(sK7(X0,n2),n2)
| ~ releasedAt(X0,n3) ),
inference(superposition,[status(thm)],[c_114,c_12492]) ).
tcf(c_25290,plain,
! [X0: $i] :
( releasedAt(X0,n2)
| holdsAt(waterLevel(n3),n2)
| ( n0 = n2 )
| ~ releasedAt(X0,n3) ),
inference(superposition,[status(thm)],[c_25238,c_97]) ).
tcf(c_25293,plain,
! [X0: $i] :
( holdsAt(filling,n2)
| releasedAt(X0,n2)
| ( n0 = n2 )
| ~ releasedAt(X0,n3) ),
inference(superposition,[status(thm)],[c_25238,c_98]) ).
tcf(c_29554,plain,
! [X0: $i] :
( holdsAt(filling,n2)
| releasedAt(X0,n2)
| ~ releasedAt(X0,n3) ),
inference(global_subsumption_just,[status(thm)],[c_25293,c_152,c_153,c_177,c_2755,c_2967,c_25293]) ).
tcf(c_29563,plain,
( releasedAt(filling,n2)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_9975,c_29554]) ).
tcf(c_30272,plain,
! [X0: $i] :
( releasedAt(X0,n1)
| ( sK7(X0,n1) = tapOn )
| ~ releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_113,c_1355]) ).
tcf(c_30296,plain,
! [X0: $i] :
( releasedAt(X0,n1)
| ~ releasedAt(X0,n2) ),
inference(global_subsumption_just,[status(thm)],[c_30272,c_152,c_153,c_177,c_198,c_2949,c_12642,c_15298,c_23669,c_24821,c_29563]) ).
tcf(c_30306,plain,
( releasedAt(filling,n1)
| holdsAt(filling,n2) ),
inference(superposition,[status(thm)],[c_29563,c_30296]) ).
tcf(c_30567,plain,
! [X0: $i,X1: $i] :
( ~ releasedAt(X1,n1)
| ~ happens(X0,n0)
| ~ initiates(X0,X1,n0) ),
inference(superposition,[status(thm)],[c_1018,c_12764]) ).
tcf(c_30709,plain,
( ~ releasedAt(filling,n1)
| ~ happens(tapOn,n0) ),
inference(superposition,[status(thm)],[c_75,c_30567]) ).
tcf(c_30715,plain,
~ releasedAt(filling,n1),
inference(forward_subsumption_resolution,[status(thm)],[c_30709,c_92]) ).
tcf(c_30721,plain,
holdsAt(filling,n2),
inference(backward_subsumption_resolution,[status(thm)],[c_30306,c_30715]) ).
tcf(c_30983,plain,
! [X0: $i,X1: $i] :
( ~ releasedAt(X1,n3)
| ~ happens(X0,n2)
| ~ terminates(X0,X1,n2) ),
inference(superposition,[status(thm)],[c_114,c_12807]) ).
tcf(c_31072,plain,
( ~ releasedAt(filling,n3)
| ~ happens(overflow,n2) ),
inference(superposition,[status(thm)],[c_84,c_30983]) ).
tcf(c_31073,plain,
~ happens(overflow,n2),
inference(forward_subsumption_resolution,[status(thm)],[c_31072,c_9975]) ).
tcf(c_32402,plain,
! [X0: $i] :
( releasedAt(X0,n2)
| holdsAt(waterLevel(n3),n2)
| ~ releasedAt(X0,n3) ),
inference(global_subsumption_just,[status(thm)],[c_25290,c_152,c_153,c_177,c_2755,c_2967,c_25290]) ).
tcf(c_32421,plain,
! [X0: $i] :
( happens(overflow,n2)
| releasedAt(X0,n2)
| ~ holdsAt(filling,n2)
| ~ releasedAt(X0,n3) ),
inference(superposition,[status(thm)],[c_32402,c_93]) ).
tcf(c_32425,plain,
! [X0: $i] :
( releasedAt(X0,n2)
| ~ releasedAt(X0,n3) ),
inference(forward_subsumption_resolution,[status(thm)],[c_32421,c_31073,c_30721]) ).
tcf(c_32435,plain,
releasedAt(filling,n2),
inference(superposition,[status(thm)],[c_9975,c_32425]) ).
tcf(c_32445,plain,
releasedAt(filling,n1),
inference(superposition,[status(thm)],[c_32435,c_30296]) ).
tcf(c_32446,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_32445,c_30715]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR014+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n018.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 08:08:49 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 4.80/2.19 % SZS status Started for theBenchmark.p
% 4.80/2.19 % SZS status Theorem for theBenchmark.p
% 4.80/2.19
% 4.80/2.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.80/2.19
% 4.80/2.19 % ------ iProver source info
% 4.80/2.19
% 4.80/2.19 % git: date: 2026-07-19 20:42:38 +0200
% 4.80/2.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.80/2.19 % git: non_committed_changes: false
% 4.80/2.19
% 4.80/2.19 % ------ Parsing...
% 4.80/2.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.80/2.19
% 4.80/2.19 % ------ 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 %
% 4.80/2.19
% 4.80/2.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.80/2.19
% 4.80/2.19 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.80/2.19 % ------ Proving...
% 4.80/2.19 % ------ Problem Properties
% 4.80/2.19
% 4.80/2.19 %
% 4.80/2.19 % clauses 99
% 4.80/2.19 % conjectures 1
% 4.80/2.19 % EPR 53
% 4.80/2.19 % Horn 76
% 4.80/2.19 % unary 33
% 4.80/2.19 % binary 37
% 4.80/2.19 % lits 208
% 4.80/2.19 % lits eq 48
% 4.80/2.19 % fd_pure 0
% 4.80/2.19 % fd_pseudo 0
% 4.80/2.19 % fd_cond 14
% 4.80/2.19 % fd_pseudo_cond 4
% 4.80/2.19 % AC symbols 0
% 4.80/2.19
% 4.80/2.19 % ------ Schedule dynamic 5 is on
% 4.80/2.19
% 4.80/2.19 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.80/2.19
% 4.80/2.19
% 4.80/2.19 % ------
% 4.80/2.19 % Current options:
% 4.80/2.19 % ------
% 4.80/2.19
% 4.80/2.19
% 4.80/2.19 %
% 4.80/2.19
% 4.80/2.19 % ------ Proving...
% 4.80/2.19 %
% 4.80/2.19
% 4.80/2.19 % SZS status Theorem for theBenchmark.p
% 4.80/2.19
% 4.80/2.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.80/2.19
% 4.80/2.19
%------------------------------------------------------------------------------