%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CSR002+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n011.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 01:09:51 PM UTC 2026
% Result : Theorem 27.96s 6.35s
% Output : CNFRefutation 27.96s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f90ERROR: Could not build tree for root c_87238ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1] :
( ( ~ ? [X2] :
( initiates(X2,X0,X1)
& happens(X2,X1) )
& ~ releasedAt(X0,plus(X1,n1))
& ~ holdsAt(X0,X1) )
=> ~ holdsAt(X0,plus(X1,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',keep_not_holding) ).
fof(f8,axiom,
! [X0,X1] :
( ( ~ ? [X2] :
( releases(X2,X0,X1)
& happens(X2,X1) )
& ~ releasedAt(X0,X1) )
=> ~ releasedAt(X0,plus(X1,n1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',keep_not_released) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( terminates(X0,X2,X1)
& happens(X0,X1) )
=> ~ holdsAt(X2,plus(X1,n1)) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/CSR001+1.ax',happens_all_defn) ).
fof(f22,axiom,
! [X0] : filling != waterLevel(X0),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',filling_not_waterLevel) ).
fof(f27,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).
fof(f30,axiom,
plus(n1,n1) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus1_1) ).
fof(f31,axiom,
plus(n1,n2) = n3,
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,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_plus) ).
fof(f37,axiom,
! [X0,X1] :
( less_or_equal(X0,X1)
<=> ( X0 = X1
| less(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal) ).
fof(f39,axiom,
! [X0] :
( less(X0,n1)
<=> less_or_equal(X0,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less1) ).
fof(f40,axiom,
! [X0] :
( less(X0,n2)
<=> less_or_equal(X0,n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less2) ).
fof(f41,axiom,
! [X0] :
( less(X0,n3)
<=> less_or_equal(X0,n2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less3) ).
fof(f42,axiom,
! [X0] :
( less(X0,n4)
<=> less_or_equal(X0,n3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less4) ).
fof(f48,axiom,
! [X0,X1] :
( less(X0,X1)
<=> ( X1 != X0
& ~ less(X1,X0) ) ),
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,[status(cth)],[f56]) ).
fof(f59,plain,
holdsAt(filling,n4),
inference(flattening,[],[f57]) ).
fof(f69,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(ennf_transformation,[],[f6]) ).
fof(f70,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(flattening,[],[f69]) ).
fof(f73,plain,
! [X0,X1] :
( ? [X2] :
( releases(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,X1)
| ~ releasedAt(X0,plus(X1,n1)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f74,plain,
! [X0,X1] :
( ? [X2] :
( releases(X2,X0,X1)
& happens(X2,X1) )
| releasedAt(X0,X1)
| ~ releasedAt(X0,plus(X1,n1)) ),
inference(flattening,[],[f73]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ~ terminates(X0,X2,X1)
| ~ happens(X0,X1)
| ~ holdsAt(X2,plus(X1,n1)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ~ terminates(X0,X2,X1)
| ~ happens(X0,X1)
| ~ holdsAt(X2,plus(X1,n1)) ),
inference(flattening,[],[f77]) ).
fof(f81,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(f82,plain,
! [X0,X1,X2] :
( ( ~ terminates(X0,X2,X1)
& ~ initiates(X0,X2,X1) )
| ~ happens(X0,X1)
| ~ releasedAt(X2,plus(X1,n1)) ),
inference(flattening,[],[f81]) ).
fof(f93,plain,
! [X0,X1] :
( ( initiates(sK5(X0,X1),X0,X1)
& happens(sK5(X0,X1),X1) )
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1)
| ~ holdsAt(X0,plus(X1,n1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X2,sK5(X0,X1))],[f70]) ).
fof(f95,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))],[f74]) ).
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(nnf_transformation,[],[f90]) ).
fof(f103,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,[],[f102]) ).
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(nnf_transformation,[],[f14]) ).
fof(f105,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,[],[f104]) ).
fof(f106,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(f107,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,[],[f106]) ).
fof(f108,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))],[f107]) ).
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(nnf_transformation,[],[f16]) ).
fof(f110,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,[],[f109]) ).
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(nnf_transformation,[],[f37]) ).
fof(f113,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,[],[f112]) ).
fof(f114,plain,
! [X0] :
( ( ~ less(X0,n1)
| less_or_equal(X0,n0) )
& ( ~ less_or_equal(X0,n0)
| less(X0,n1) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f115,plain,
! [X0] :
( ( ~ less(X0,n2)
| less_or_equal(X0,n1) )
& ( ~ less_or_equal(X0,n1)
| less(X0,n2) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f116,plain,
! [X0] :
( ( ~ less(X0,n3)
| less_or_equal(X0,n2) )
& ( ~ less_or_equal(X0,n2)
| less(X0,n3) ) ),
inference(nnf_transformation,[],[f41]) ).
fof(f117,plain,
! [X0] :
( ( ~ less(X0,n4)
| less_or_equal(X0,n3) )
& ( ~ less_or_equal(X0,n3)
| less(X0,n4) ) ),
inference(nnf_transformation,[],[f42]) ).
fof(f123,plain,
! [X0,X1] :
( ( ~ less(X0,X1)
| ( X1 != X0
& ~ less(X1,X0) ) )
& ( X0 = X1
| less(X1,X0)
| less(X0,X1) ) ),
inference(nnf_transformation,[],[f48]) ).
fof(f124,plain,
! [X0,X1] :
( ( ~ less(X0,X1)
| ( X1 != X0
& ~ less(X1,X0) ) )
& ( X0 = X1
| less(X1,X0)
| less(X0,X1) ) ),
inference(flattening,[],[f123]) ).
fof(f133,plain,
! [X0,X1] :
( happens(sK5(X0,X1),X1)
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1)
| ~ holdsAt(X0,plus(X1,n1)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f136,plain,
! [X0,X1] :
( releases(sK7(X0,X1),X0,X1)
| releasedAt(X0,X1)
| ~ releasedAt(X0,plus(X1,n1)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f137,plain,
! [X0,X1] :
( happens(sK7(X0,X1),X1)
| releasedAt(X0,X1)
| ~ releasedAt(X0,plus(X1,n1)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ terminates(X0,X2,X1)
| ~ happens(X0,X1)
| ~ holdsAt(X2,plus(X1,n1)) ),
inference(cnf_transformation,[],[f78]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ initiates(X0,X2,X1)
| ~ happens(X0,X1)
| ~ releasedAt(X2,plus(X1,n1)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f158,plain,
! [X2,X0,X1] :
( filling != X1
| tapOn != X0
| initiates(X0,X1,X2) ),
inference(cnf_transformation,[],[f103]) ).
fof(f163,plain,
! [X2,X0,X1] :
( filling != X1
| overflow != X0
| terminates(X0,X1,X2) ),
inference(cnf_transformation,[],[f105]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ releases(X0,X1,X2)
| waterLevel(sK10(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f108]) ).
fof(f169,plain,
! [X0,X1] :
( ~ happens(X0,X1)
| holdsAt(filling,X1)
| n0 = X1 ),
inference(cnf_transformation,[],[f110]) ).
fof(f174,plain,
! [X0,X1] :
( overflow != X0
| ~ holdsAt(filling,X1)
| ~ holdsAt(waterLevel(n3),X1)
| happens(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f175,plain,
! [X0,X1] :
( n0 != X1
| tapOn != X0
| happens(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f181,plain,
! [X0] : filling != waterLevel(X0),
inference(cnf_transformation,[],[f22]) ).
fof(f187,plain,
n1 = plus(n0,n1),
inference(cnf_transformation,[],[f27]) ).
fof(f190,plain,
n2 = plus(n1,n1),
inference(cnf_transformation,[],[f30]) ).
fof(f191,plain,
n3 = plus(n1,n2),
inference(cnf_transformation,[],[f31]) ).
fof(f192,plain,
plus(n1,n3) = n4,
inference(cnf_transformation,[],[f32]) ).
fof(f196,plain,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
inference(cnf_transformation,[],[f36]) ).
fof(f198,plain,
! [X0,X1] :
( X0 != X1
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f199,plain,
! [X0,X1] :
( ~ less(X0,X1)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f202,plain,
! [X0] :
( ~ less_or_equal(X0,n0)
| less(X0,n1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f204,plain,
! [X0] :
( ~ less_or_equal(X0,n1)
| less(X0,n2) ),
inference(cnf_transformation,[],[f115]) ).
fof(f206,plain,
! [X0] :
( ~ less_or_equal(X0,n2)
| less(X0,n3) ),
inference(cnf_transformation,[],[f116]) ).
fof(f207,plain,
! [X0] :
( ~ less(X0,n4)
| less_or_equal(X0,n3) ),
inference(cnf_transformation,[],[f117]) ).
fof(f208,plain,
! [X0] :
( ~ less_or_equal(X0,n3)
| less(X0,n4) ),
inference(cnf_transformation,[],[f117]) ).
fof(f219,plain,
! [X0,X1] :
( ~ less(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f124]) ).
fof(f228,plain,
holdsAt(waterLevel(n3),n3),
inference(cnf_transformation,[],[f55]) ).
fof(f229,plain,
holdsAt(filling,n4),
inference(cnf_transformation,[],[f59]) ).
fof(f234,plain,
! [X2,X1] :
( filling != X1
| initiates(tapOn,X1,X2) ),
inference(equality_resolution,[],[f158]) ).
fof(f235,plain,
! [X2] : initiates(tapOn,filling,X2),
inference(equality_resolution,[],[f234]) ).
fof(f240,plain,
! [X2,X1] :
( filling != X1
| terminates(overflow,X1,X2) ),
inference(equality_resolution,[],[f163]) ).
fof(f241,plain,
! [X2] : terminates(overflow,filling,X2),
inference(equality_resolution,[],[f240]) ).
fof(f244,plain,
! [X1] :
( n0 != X1
| happens(tapOn,X1) ),
inference(equality_resolution,[],[f175]) ).
fof(f245,plain,
happens(tapOn,n0),
inference(equality_resolution,[],[f244]) ).
fof(f246,plain,
! [X1] :
( ~ holdsAt(filling,X1)
| ~ holdsAt(waterLevel(n3),X1)
| happens(overflow,X1) ),
inference(equality_resolution,[],[f174]) ).
fof(f249,plain,
! [X1] : less_or_equal(X1,X1),
inference(equality_resolution,[],[f198]) ).
fof(f250,plain,
! [X1] : ~ less(X1,X1),
inference(equality_resolution,[],[f219]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( holdsAt(X0,X1)
| releasedAt(X0,plus(X1,n1))
| happens(sK5(X0,X1),X1)
| ~ holdsAt(X0,plus(X1,n1)) ),
inference(cnf_transformation,[],[f133]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] :
( releasedAt(X0,X1)
| happens(sK7(X0,X1),X1)
| ~ releasedAt(X0,plus(X1,n1)) ),
inference(cnf_transformation,[],[f137]) ).
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,[],[f136]) ).
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,[],[f139]) ).
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,[],[f142]) ).
tcf(c_75,plain,
! [X0: $i] : initiates(tapOn,filling,X0),
inference(cnf_transformation,[],[f235]) ).
tcf(c_84,plain,
! [X0: $i] : terminates(overflow,filling,X0),
inference(cnf_transformation,[],[f241]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( waterLevel(sK10(X0,X1)) = X1 )
| ~ releases(X0,X1,X2) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_92,plain,
happens(tapOn,n0),
inference(cnf_transformation,[],[f245]) ).
tcf(c_93,plain,
! [X0: $i] :
( happens(overflow,X0)
| ~ holdsAt(filling,X0)
| ~ holdsAt(waterLevel(n3),X0) ),
inference(cnf_transformation,[],[f246]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( holdsAt(filling,X1)
| ( X1 = n0 )
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_105,plain,
! [X0: $i] : waterLevel(X0) != filling,
inference(cnf_transformation,[],[f181]) ).
tcf(c_110,plain,
plus(n0,n1) = n1,
inference(cnf_transformation,[],[f187]) ).
tcf(c_113,plain,
plus(n1,n1) = n2,
inference(cnf_transformation,[],[f190]) ).
tcf(c_114,plain,
plus(n1,n2) = n3,
inference(cnf_transformation,[],[f191]) ).
tcf(c_115,plain,
plus(n1,n3) = n4,
inference(cnf_transformation,[],[f192]) ).
tcf(c_119,plain,
! [X0: $i,X1: $i] : plus(X0,X1) = plus(X1,X0),
inference(cnf_transformation,[],[f196]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i] :
( less_or_equal(X0,X1)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_121,plain,
! [X0: $i] : less_or_equal(X0,X0),
inference(cnf_transformation,[],[f249]) ).
tcf(c_124,plain,
! [X0: $i] :
( less(X0,n1)
| ~ less_or_equal(X0,n0) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_126,plain,
! [X0: $i] :
( less(X0,n2)
| ~ less_or_equal(X0,n1) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_128,plain,
! [X0: $i] :
( less(X0,n3)
| ~ less_or_equal(X0,n2) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_130,plain,
! [X0: $i] :
( less(X0,n4)
| ~ less_or_equal(X0,n3) ),
inference(cnf_transformation,[],[f208]) ).
tcf(c_131,plain,
! [X0: $i] :
( less_or_equal(X0,n3)
| ~ less(X0,n4) ),
inference(cnf_transformation,[],[f207]) ).
tcf(c_144,plain,
! [X0: $i] : ~ less(X0,X0),
inference(cnf_transformation,[],[f250]) ).
tcf(c_151,plain,
holdsAt(waterLevel(n3),n3),
inference(cnf_transformation,[],[f228]) ).
tcf(c_152,negated_conjecture,
holdsAt(filling,n4),
inference(cnf_transformation,[],[f229]) ).
tcf(c_153,plain,
less_or_equal(n1,n1),
inference(instantiation,[status(thm)],[c_121]) ).
tcf(c_154,plain,
~ less(n1,n1),
inference(instantiation,[status(thm)],[c_144]) ).
tcf(c_178,plain,
( less(n1,n2)
| ~ less_or_equal(n1,n1) ),
inference(instantiation,[status(thm)],[c_126]) ).
tcf(c_233,plain,
! [X0: $i] :
( less(X0,n1)
| ~ less_or_equal(X0,n0) ),
inference(prop_impl_just,[status(thm)],[c_124]) ).
tcf(c_241,plain,
! [X0: $i] :
( less(X0,n3)
| ~ less_or_equal(X0,n2) ),
inference(prop_impl_just,[status(thm)],[c_128]) ).
tcf(c_243,plain,
! [X0: $i] :
( ~ less(X0,n4)
| less_or_equal(X0,n3) ),
inference(prop_impl_just,[status(thm)],[c_131]) ).
tcf(c_244,plain,
! [X0: $i] :
( less_or_equal(X0,n3)
| ~ less(X0,n4) ),
inference(renaming,[status(thm)],[c_243]) ).
tcf(c_245,plain,
! [X0: $i] :
( less(X0,n4)
| ~ less_or_equal(X0,n3) ),
inference(prop_impl_just,[status(thm)],[c_130]) ).
tcf(c_277,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( waterLevel(sK10(X0,X1)) = X1 )
| ~ releases(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_91]) ).
tcf(c_305,plain,
! [X0: $i,X1: $i] :
( less_or_equal(X0,X1)
| ~ less(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_120]) ).
tcf(c_1022,plain,
plus(n1,n0) = n1,
inference(demodulation,[status(thm)],[c_110,c_119]) ).
tcf(c_1346,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( releasedAt(X0,X1)
| ( waterLevel(sK10(X2,X3)) = X3 )
| ~ releasedAt(X0,plus(X1,n1))
| ( X1 != X4 )
| ( X0 != X3 )
| ( sK7(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_61,c_277]) ).
tcf(c_1347,plain,
! [X0: $i,X1: $i] :
( releasedAt(X0,X1)
| ( waterLevel(sK10(sK7(X0,X1),X0)) = X0 )
| ~ releasedAt(X0,plus(X1,n1)) ),
inference(unflattening,[status(thm)],[c_1346]) ).
tcf(c_2757,plain,
! [X0: $i,X1: $i,X2: $i] :
( less(X1,n3)
| ~ less(X0,X2)
| ( X2 != n2 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_305,c_241]) ).
tcf(c_2758,plain,
! [X0: $i] :
( less(X0,n3)
| ~ less(X0,n2) ),
inference(unflattening,[status(thm)],[c_2757]) ).
tcf(c_2759,plain,
( less(n1,n3)
| ~ less(n1,n2) ),
inference(instantiation,[status(thm)],[c_2758]) ).
tcf(c_2778,plain,
! [X0: $i,X1: $i,X2: $i] :
( less(X1,n4)
| ~ less(X0,X2)
| ( X2 != n3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_305,c_245]) ).
tcf(c_2779,plain,
! [X0: $i] :
( less(X0,n4)
| ~ less(X0,n3) ),
inference(unflattening,[status(thm)],[c_2778]) ).
tcf(c_2780,plain,
( less(n1,n4)
| ~ less(n1,n3) ),
inference(instantiation,[status(thm)],[c_2779]) ).
tcf(c_2987,plain,
! [X0: $i,X1: $i] :
( less(X0,n1)
| ~ less(X1,n4)
| ( n0 != n3 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_233,c_244]) ).
tcf(c_2988,plain,
! [X0: $i] :
( less(X0,n1)
| ~ less(X0,n4)
| ( n0 != n3 ) ),
inference(unflattening,[status(thm)],[c_2987]) ).
tcf(c_2989,plain,
( less(n1,n1)
| ~ less(n1,n4)
| ( n0 != n3 ) ),
inference(instantiation,[status(thm)],[c_2988]) ).
tcf(c_9982,negated_conjecture,
holdsAt(filling,n4),
inference(demodulation,[status(thm)],[c_152]) ).
tcf(c_12312,plain,
( happens(overflow,n3)
| ~ holdsAt(filling,n3) ),
inference(superposition,[status(thm)],[c_151,c_93]) ).
tcf(c_12507,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_12729,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ happens(X2,X1)
| ~ terminates(X2,X0,X1)
| ~ holdsAt(X0,plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_119,c_63]) ).
tcf(c_12772,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_13137,plain,
! [X0: $i,X1: $i] :
( holdsAt(X0,X1)
| releasedAt(X0,plus(X1,n1))
| happens(sK5(X0,X1),X1)
| ~ holdsAt(X0,plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_119,c_56]) ).
tcf(c_24898,plain,
! [X0: $i] :
( releasedAt(X0,n3)
| happens(sK7(X0,n3),n3)
| ~ releasedAt(X0,n4) ),
inference(superposition,[status(thm)],[c_115,c_12507]) ).
tcf(c_24992,plain,
! [X0: $i] :
( holdsAt(filling,n3)
| releasedAt(X0,n3)
| ( n0 = n3 )
| ~ releasedAt(X0,n4) ),
inference(superposition,[status(thm)],[c_24898,c_98]) ).
tcf(c_28957,plain,
! [X0: $i] :
( holdsAt(filling,n3)
| releasedAt(X0,n3)
| ~ releasedAt(X0,n4) ),
inference(global_subsumption_just,[status(thm)],[c_24992,c_153,c_154,c_178,c_2759,c_2780,c_2989,c_24992]) ).
tcf(c_29934,plain,
! [X0: $i,X1: $i] :
( ~ holdsAt(X1,n4)
| ~ happens(X0,n3)
| ~ terminates(X0,X1,n3) ),
inference(superposition,[status(thm)],[c_115,c_12729]) ).
tcf(c_30174,plain,
( ~ holdsAt(filling,n4)
| ~ happens(overflow,n3) ),
inference(superposition,[status(thm)],[c_84,c_29934]) ).
tcf(c_30175,plain,
~ happens(overflow,n3),
inference(forward_subsumption_resolution,[status(thm)],[c_30174,c_9982]) ).
tcf(c_30187,plain,
~ holdsAt(filling,n3),
inference(backward_subsumption_resolution,[status(thm)],[c_12312,c_30175]) ).
tcf(c_30189,plain,
! [X0: $i] :
( releasedAt(X0,n3)
| ~ releasedAt(X0,n4) ),
inference(backward_subsumption_resolution,[status(thm)],[c_28957,c_30187]) ).
tcf(c_30434,plain,
! [X0: $i,X1: $i] :
( ~ releasedAt(X1,n1)
| ~ happens(X0,n0)
| ~ initiates(X0,X1,n0) ),
inference(superposition,[status(thm)],[c_1022,c_12772]) ).
tcf(c_30524,plain,
( ~ releasedAt(filling,n1)
| ~ happens(tapOn,n0) ),
inference(superposition,[status(thm)],[c_75,c_30434]) ).
tcf(c_30529,plain,
~ releasedAt(filling,n1),
inference(forward_subsumption_resolution,[status(thm)],[c_30524,c_92]) ).
tcf(c_45605,plain,
! [X0: $i] :
( releasedAt(X0,n1)
| ( waterLevel(sK10(sK7(X0,n1),X0)) = X0 )
| ~ releasedAt(X0,n2) ),
inference(superposition,[status(thm)],[c_113,c_1347]) ).
tcf(c_45606,plain,
! [X0: $i,X1: $i] :
( releasedAt(X0,X1)
| ( waterLevel(sK10(sK7(X0,X1),X0)) = X0 )
| ~ releasedAt(X0,plus(n1,X1)) ),
inference(superposition,[status(thm)],[c_119,c_1347]) ).
tcf(c_69669,plain,
! [X0: $i] :
( releasedAt(X0,n2)
| ( waterLevel(sK10(sK7(X0,n2),X0)) = X0 )
| ~ releasedAt(X0,n3) ),
inference(superposition,[status(thm)],[c_114,c_45606]) ).
tcf(c_86138,plain,
! [X0: $i] :
( holdsAt(X0,n3)
| releasedAt(X0,plus(n3,n1))
| happens(sK5(X0,n3),n3)
| ~ holdsAt(X0,n4) ),
inference(superposition,[status(thm)],[c_115,c_13137]) ).
tcf(c_86983,plain,
! [X0: $i] :
( releasedAt(X0,n4)
| holdsAt(X0,n3)
| happens(sK5(X0,n3),n3)
| ~ holdsAt(X0,n4) ),
inference(demodulation,[status(thm)],[c_86138,c_115,c_119]) ).
tcf(c_86999,plain,
! [X0: $i] :
( holdsAt(filling,n3)
| releasedAt(X0,n4)
| holdsAt(X0,n3)
| ( n0 = n3 )
| ~ holdsAt(X0,n4) ),
inference(superposition,[status(thm)],[c_86983,c_98]) ).
tcf(c_87002,plain,
! [X0: $i] :
( releasedAt(X0,n4)
| holdsAt(X0,n3)
| ( n0 = n3 )
| ~ holdsAt(X0,n4) ),
inference(forward_subsumption_resolution,[status(thm)],[c_86999,c_30187]) ).
tcf(c_87024,plain,
! [X0: $i] :
( releasedAt(X0,n4)
| holdsAt(X0,n3)
| ~ holdsAt(X0,n4) ),
inference(global_subsumption_just,[status(thm)],[c_87002,c_153,c_154,c_178,c_2759,c_2780,c_2989,c_87002]) ).
tcf(c_87039,plain,
( releasedAt(filling,n4)
| holdsAt(filling,n3) ),
inference(superposition,[status(thm)],[c_9982,c_87024]) ).
tcf(c_87053,plain,
releasedAt(filling,n4),
inference(forward_subsumption_resolution,[status(thm)],[c_87039,c_30187]) ).
tcf(c_87070,plain,
releasedAt(filling,n3),
inference(superposition,[status(thm)],[c_87053,c_30189]) ).
tcf(c_87135,plain,
( releasedAt(filling,n2)
| ( waterLevel(sK10(sK7(filling,n2),filling)) = filling ) ),
inference(superposition,[status(thm)],[c_87070,c_69669]) ).
tcf(c_87152,plain,
releasedAt(filling,n2),
inference(forward_subsumption_resolution,[status(thm)],[c_87135,c_105]) ).
tcf(c_87229,plain,
( releasedAt(filling,n1)
| ( waterLevel(sK10(sK7(filling,n1),filling)) = filling ) ),
inference(superposition,[status(thm)],[c_87152,c_45605]) ).
tcf(c_87238,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_87229,c_30529,c_105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR002+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n011.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 08:05:29 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 27.96/6.35 % SZS status Started for theBenchmark.p
% 27.96/6.35 % SZS status Theorem for theBenchmark.p
% 27.96/6.35
% 27.96/6.35 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 27.96/6.35
% 27.96/6.35 % ------ iProver source info
% 27.96/6.35
% 27.96/6.35 % git: date: 2026-07-19 20:42:38 +0200
% 27.96/6.35 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 27.96/6.35 % git: non_committed_changes: false
% 27.96/6.35
% 27.96/6.35 % ------ Parsing...
% 27.96/6.35 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 27.96/6.35
% 27.96/6.35 % ------ 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 %
% 27.96/6.35
% 27.96/6.35 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 27.96/6.35
% 27.96/6.35 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 27.96/6.35 % ------ Proving...
% 27.96/6.35 % ------ Problem Properties
% 27.96/6.35
% 27.96/6.35 %
% 27.96/6.35 % clauses 100
% 27.96/6.35 % conjectures 1
% 27.96/6.35 % EPR 53
% 27.96/6.35 % Horn 77
% 27.96/6.35 % unary 34
% 27.96/6.35 % binary 37
% 27.96/6.35 % lits 209
% 27.96/6.35 % lits eq 48
% 27.96/6.35 % fd_pure 0
% 27.96/6.35 % fd_pseudo 0
% 27.96/6.35 % fd_cond 14
% 27.96/6.35 % fd_pseudo_cond 4
% 27.96/6.35 % AC symbols 0
% 27.96/6.35
% 27.96/6.35 % ------ Schedule dynamic 5 is on
% 27.96/6.35
% 27.96/6.35 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 27.96/6.35
% 27.96/6.35
% 27.96/6.35 % ------
% 27.96/6.35 % Current options:
% 27.96/6.35 % ------
% 27.96/6.35
% 27.96/6.35
% 27.96/6.35 %
% 27.96/6.35
% 27.96/6.35 % ------ Proving...
% 27.96/6.35 %
% 27.96/6.35
% 27.96/6.35 % SZS status Theorem for theBenchmark.p
% 27.96/6.35
% 27.96/6.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 27.96/6.35
% 27.96/6.35
%------------------------------------------------------------------------------