%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : CSR013+1 : 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 : n014.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 146.40s 35.84s
% Output : CNFRefutation 146.40s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f89ERROR: Could not build tree for root c_485564ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( stoppedIn(X0,X1,X2)
<=> ? [X3,X4] :
( terminates(X3,X1,X4)
& less(X4,X2)
& less(X0,X4)
& happens(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',stoppedin_defn) ).
fof(f3,axiom,
! [X0,X1,X2,X3,X4] :
( ( ~ stoppedIn(X1,X2,plus(X1,X4))
& trajectory(X2,X1,X3,X4)
& less(n0,X4)
& initiates(X0,X2,X1)
& happens(X0,X1) )
=> holdsAt(X3,plus(X1,X4)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+0.ax',change_holding) ).
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(f9,axiom,
! [X0,X1,X2] :
( ( initiates(X0,X2,X1)
& happens(X0,X1) )
=> holdsAt(X2,plus(X1,n1)) ),
file('/export/starexec/sandbox/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/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(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(f17,axiom,
! [X0,X1,X2,X3] :
( ( X2 = plus(X0,X3)
& holdsAt(waterLevel(X0),X1) )
=> trajectory(filling,X1,waterLevel(X2),X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',change_of_waterLevel) ).
fof(f18,axiom,
! [X0,X1,X2] :
( ( holdsAt(waterLevel(X2),X0)
& holdsAt(waterLevel(X1),X0) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/Axioms/CSR001+1.ax',same_waterLevel) ).
fof(f27,axiom,
plus(n0,n1) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_1) ).
fof(f28,axiom,
plus(n0,n2) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',plus0_2) ).
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(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(f38,axiom,
~ ? [X0] : less(X0,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less0) ).
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(f48,axiom,
! [X0,X1] :
( less(X0,X1)
<=> ( X1 != X0
& ~ less(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_property) ).
fof(f49,axiom,
holdsAt(waterLevel(n0),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',waterLevel_0) ).
fof(f50,axiom,
~ holdsAt(filling,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_filling_0) ).
fof(f55,conjecture,
~ ? [X0] :
( terminates(X0,filling,n2)
& happens(X0,n2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nothing_terminates_filling_2) ).
fof(f56,negated_conjecture,
~ ~ ? [X0] :
( terminates(X0,filling,n2)
& happens(X0,n2) ),
inference(negated_conjecture,[status(cth)],[f55]) ).
fof(f58,plain,
? [X0] :
( terminates(X0,filling,n2)
& happens(X0,n2) ),
inference(flattening,[],[f56]) ).
fof(f60,plain,
! [X0,X1,X2] :
( stoppedIn(X0,X1,X2)
=> ? [X3,X4] :
( terminates(X3,X1,X4)
& less(X4,X2)
& less(X0,X4)
& happens(X3,X4) ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ~ stoppedIn(X0,X1,X2)
| ? [X3,X4] :
( terminates(X3,X1,X4)
& less(X4,X2)
& less(X0,X4)
& happens(X3,X4) ) ),
inference(ennf_transformation,[],[f60]) ).
fof(f64,plain,
! [X0,X1,X2,X3,X4] :
( stoppedIn(X1,X2,plus(X1,X4))
| ~ trajectory(X2,X1,X3,X4)
| ~ less(n0,X4)
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1)
| holdsAt(X3,plus(X1,X4)) ),
inference(ennf_transformation,[],[f3]) ).
fof(f65,plain,
! [X0,X1,X2,X3,X4] :
( stoppedIn(X1,X2,plus(X1,X4))
| ~ trajectory(X2,X1,X3,X4)
| ~ less(n0,X4)
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1)
| holdsAt(X3,plus(X1,X4)) ),
inference(flattening,[],[f64]) ).
fof(f68,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(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(flattening,[],[f68]) ).
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(f82,plain,
! [X0,X1,X2,X3] :
( plus(X0,X3) != X2
| ~ holdsAt(waterLevel(X0),X1)
| trajectory(filling,X1,waterLevel(X2),X3) ),
inference(ennf_transformation,[],[f17]) ).
fof(f83,plain,
! [X0,X1,X2,X3] :
( plus(X0,X3) != X2
| ~ holdsAt(waterLevel(X0),X1)
| trajectory(filling,X1,waterLevel(X2),X3) ),
inference(flattening,[],[f82]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ~ holdsAt(waterLevel(X2),X0)
| ~ holdsAt(waterLevel(X1),X0)
| X1 = X2 ),
inference(ennf_transformation,[],[f18]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ~ holdsAt(waterLevel(X2),X0)
| ~ holdsAt(waterLevel(X1),X0)
| X1 = X2 ),
inference(flattening,[],[f84]) ).
fof(f86,plain,
! [X0] : ~ less(X0,n0),
inference(ennf_transformation,[],[f38]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ stoppedIn(X0,X1,X2)
| ( terminates(sK2(X0,X1,X2),X1,sK3(X0,X1,X2))
& less(sK3(X0,X1,X2),X2)
& less(X0,sK3(X0,X1,X2))
& happens(sK2(X0,X1,X2),sK3(X0,X1,X2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X3,sK2(X0,X1,X2)),skolemize(X4,sK3(X0,X1,X2))],[f63]) ).
fof(f92,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))],[f69]) ).
fof(f95,plain,
! [X2,X0,X1] :
( ( ~ sP1(X2,X0,X1)
| ? [X3] :
( X1 = waterLevel(X3)
& X0 = tapOff
& holdsAt(waterLevel(X3),X2) ) )
& ( ! [X3] :
( waterLevel(X3) != X1
| tapOff != X0
| ~ holdsAt(waterLevel(X3),X2) )
| sP1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f88]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ( ~ sP1(X0,X1,X2)
| ? [X4] :
( waterLevel(X4) = X2
& tapOff = X1
& holdsAt(waterLevel(X4),X0) ) )
& ( ! [X3] :
( waterLevel(X3) != X2
| tapOff != X1
| ~ holdsAt(waterLevel(X3),X0) )
| sP1(X0,X1,X2) ) ),
inference(rectify,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ( ~ sP1(X0,X1,X2)
| ( waterLevel(sK8(X0,X1,X2)) = X2
& tapOff = X1
& holdsAt(waterLevel(sK8(X0,X1,X2)),X0) ) )
& ( ! [X3] :
( waterLevel(X3) != X2
| tapOff != X1
| ~ holdsAt(waterLevel(X3),X0) )
| sP1(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X4,sK8(X0,X1,X2))],[f96]) ).
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(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(f124,plain,
( terminates(sK11,filling,n2)
& happens(sK11,n2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X0,sK11)],[f58]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ stoppedIn(X0,X1,X2)
| terminates(sK2(X0,X1,X2),X1,sK3(X0,X1,X2)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ stoppedIn(X0,X1,X2)
| less(sK3(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f90]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ stoppedIn(X0,X1,X2)
| happens(sK2(X0,X1,X2),sK3(X0,X1,X2)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f129,plain,
! [X2,X3,X0,X1,X4] :
( stoppedIn(X1,X2,plus(X1,X4))
| ~ trajectory(X2,X1,X3,X4)
| ~ less(n0,X4)
| ~ initiates(X0,X2,X1)
| ~ happens(X0,X1)
| holdsAt(X3,plus(X1,X4)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f132,plain,
! [X0,X1] :
( initiates(sK5(X0,X1),X0,X1)
| releasedAt(X0,plus(X1,n1))
| holdsAt(X0,X1)
| ~ holdsAt(X0,plus(X1,n1)) ),
inference(cnf_transformation,[],[f92]) ).
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,[],[f92]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ initiates(X0,X2,X1)
| ~ happens(X0,X1)
| holdsAt(X2,plus(X1,n1)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ terminates(X0,X2,X1)
| ~ happens(X0,X1)
| ~ holdsAt(X2,plus(X1,n1)) ),
inference(cnf_transformation,[],[f77]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ initiates(X0,X2,X1)
| ~ happens(X0,X1)
| ~ releasedAt(X2,plus(X1,n1)) ),
inference(cnf_transformation,[],[f81]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| waterLevel(sK8(X0,X1,X2)) = X2 ),
inference(cnf_transformation,[],[f97]) ).
fof(f158,plain,
! [X2,X0,X1] :
( filling != X1
| tapOn != X0
| initiates(X0,X1,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f163,plain,
! [X2,X0,X1] :
( filling != X1
| overflow != X0
| terminates(X0,X1,X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f164,plain,
! [X2,X0,X1] :
( filling != X1
| tapOff != X0
| terminates(X0,X1,X2) ),
inference(cnf_transformation,[],[f104]) ).
fof(f168,plain,
! [X0,X1] :
( ~ happens(X0,X1)
| overflow = X0
| n0 = X1 ),
inference(cnf_transformation,[],[f109]) ).
fof(f169,plain,
! [X0,X1] :
( ~ happens(X0,X1)
| holdsAt(filling,X1)
| n0 = X1 ),
inference(cnf_transformation,[],[f109]) ).
fof(f170,plain,
! [X0,X1] :
( ~ happens(X0,X1)
| holdsAt(waterLevel(n3),X1)
| n0 = X1 ),
inference(cnf_transformation,[],[f109]) ).
fof(f171,plain,
! [X0,X1] :
( ~ happens(X0,X1)
| overflow = X0
| tapOn = X0 ),
inference(cnf_transformation,[],[f109]) ).
fof(f172,plain,
! [X0,X1] :
( ~ happens(X0,X1)
| holdsAt(filling,X1)
| tapOn = X0 ),
inference(cnf_transformation,[],[f109]) ).
fof(f173,plain,
! [X0,X1] :
( ~ happens(X0,X1)
| holdsAt(waterLevel(n3),X1)
| tapOn = X0 ),
inference(cnf_transformation,[],[f109]) ).
fof(f175,plain,
! [X0,X1] :
( n0 != X1
| tapOn != X0
| happens(X0,X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f176,plain,
! [X2,X3,X0,X1] :
( plus(X0,X3) != X2
| ~ holdsAt(waterLevel(X0),X1)
| trajectory(filling,X1,waterLevel(X2),X3) ),
inference(cnf_transformation,[],[f83]) ).
fof(f177,plain,
! [X2,X0,X1] :
( ~ holdsAt(waterLevel(X2),X0)
| ~ holdsAt(waterLevel(X1),X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f85]) ).
fof(f187,plain,
n1 = plus(n0,n1),
inference(cnf_transformation,[],[f27]) ).
fof(f188,plain,
n2 = plus(n0,n2),
inference(cnf_transformation,[],[f28]) ).
fof(f190,plain,
n2 = plus(n1,n1),
inference(cnf_transformation,[],[f30]) ).
fof(f191,plain,
n3 = plus(n1,n2),
inference(cnf_transformation,[],[f31]) ).
fof(f196,plain,
! [X0,X1] : plus(X0,X1) = plus(X1,X0),
inference(cnf_transformation,[],[f36]) ).
fof(f197,plain,
! [X0,X1] :
( ~ less_or_equal(X0,X1)
| X0 = X1
| less(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f198,plain,
! [X0,X1] :
( X0 != X1
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f199,plain,
! [X0,X1] :
( ~ less(X0,X1)
| less_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f200,plain,
! [X0] : ~ less(X0,n0),
inference(cnf_transformation,[],[f86]) ).
fof(f201,plain,
! [X0] :
( ~ less(X0,n1)
| less_or_equal(X0,n0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f202,plain,
! [X0] :
( ~ less_or_equal(X0,n0)
| less(X0,n1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f203,plain,
! [X0] :
( ~ less(X0,n2)
| less_or_equal(X0,n1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f204,plain,
! [X0] :
( ~ less_or_equal(X0,n1)
| less(X0,n2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f205,plain,
! [X0] :
( ~ less(X0,n3)
| less_or_equal(X0,n2) ),
inference(cnf_transformation,[],[f115]) ).
fof(f206,plain,
! [X0] :
( ~ less_or_equal(X0,n2)
| less(X0,n3) ),
inference(cnf_transformation,[],[f115]) ).
fof(f219,plain,
! [X0,X1] :
( ~ less(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f123]) ).
fof(f220,plain,
! [X0,X1] :
( ~ less(X0,X1)
| ~ less(X1,X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f221,plain,
! [X0,X1] :
( X0 = X1
| less(X1,X0)
| less(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f222,plain,
holdsAt(waterLevel(n0),n0),
inference(cnf_transformation,[],[f49]) ).
fof(f223,plain,
~ holdsAt(filling,n0),
inference(cnf_transformation,[],[f50]) ).
fof(f229,plain,
happens(sK11,n2),
inference(cnf_transformation,[],[f124]) ).
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(f238,plain,
! [X2,X1] :
( filling != X1
| terminates(tapOff,X1,X2) ),
inference(equality_resolution,[],[f164]) ).
fof(f239,plain,
! [X2] : terminates(tapOff,filling,X2),
inference(equality_resolution,[],[f238]) ).
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(f247,plain,
! [X3,X0,X1] :
( ~ holdsAt(waterLevel(X0),X1)
| trajectory(filling,X1,waterLevel(plus(X0,X3)),X3) ),
inference(equality_resolution,[],[f176]) ).
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_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( happens(sK2(X0,X1,X2),sK3(X0,X1,X2))
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f128]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i] :
( less(sK3(X0,X1,X2),X2)
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f126]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] :
( terminates(sK2(X0,X1,X2),X1,sK3(X0,X1,X2))
| ~ stoppedIn(X0,X1,X2) ),
inference(cnf_transformation,[],[f125]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( holdsAt(X2,plus(X1,X3))
| stoppedIn(X1,X0,plus(X1,X3))
| ~ less(n0,X3)
| ~ happens(X4,X1)
| ~ initiates(X4,X0,X1)
| ~ trajectory(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f129]) ).
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_57,plain,
! [X0: $i,X1: $i] :
( holdsAt(X0,X1)
| releasedAt(X0,plus(X1,n1))
| initiates(sK5(X0,X1),X0,X1)
| ~ holdsAt(X0,plus(X1,n1)) ),
inference(cnf_transformation,[],[f132]) ).
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,[],[f138]) ).
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_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( waterLevel(sK8(X0,X1,X2)) = X2 )
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_75,plain,
! [X0: $i] : initiates(tapOn,filling,X0),
inference(cnf_transformation,[],[f235]) ).
tcf(c_83,plain,
! [X0: $i] : terminates(tapOff,filling,X0),
inference(cnf_transformation,[],[f239]) ).
tcf(c_84,plain,
! [X0: $i] : terminates(overflow,filling,X0),
inference(cnf_transformation,[],[f241]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = filling )
| ~ terminates(X0,X1,X2) ),
inference(cnf_transformation,[],[f251]) ).
tcf(c_92,plain,
happens(tapOn,n0),
inference(cnf_transformation,[],[f245]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i] :
( holdsAt(waterLevel(n3),X1)
| ( X0 = tapOn )
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_95,plain,
! [X0: $i,X1: $i] :
( holdsAt(filling,X1)
| ( X0 = tapOn )
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i] :
( ( X0 = tapOn )
| ( X0 = overflow )
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] :
( holdsAt(waterLevel(n3),X1)
| ( X1 = n0 )
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( holdsAt(filling,X1)
| ( X1 = n0 )
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] :
( ( X1 = n0 )
| ( X0 = overflow )
| ~ happens(X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i] :
( trajectory(filling,X1,waterLevel(plus(X0,X2)),X2)
| ~ holdsAt(waterLevel(X0),X1) ),
inference(cnf_transformation,[],[f247]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ holdsAt(waterLevel(X2),X1)
| ~ holdsAt(waterLevel(X0),X1) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_110,plain,
plus(n0,n1) = n1,
inference(cnf_transformation,[],[f187]) ).
tcf(c_111,plain,
plus(n0,n2) = n2,
inference(cnf_transformation,[],[f188]) ).
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_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_122,plain,
! [X0: $i,X1: $i] :
( less(X0,X1)
| ( X0 = X1 )
| ~ less_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_123,plain,
! [X0: $i] : ~ less(X0,n0),
inference(cnf_transformation,[],[f200]) ).
tcf(c_124,plain,
! [X0: $i] :
( less(X0,n1)
| ~ less_or_equal(X0,n0) ),
inference(cnf_transformation,[],[f202]) ).
tcf(c_125,plain,
! [X0: $i] :
( less_or_equal(X0,n0)
| ~ less(X0,n1) ),
inference(cnf_transformation,[],[f201]) ).
tcf(c_126,plain,
! [X0: $i] :
( less(X0,n2)
| ~ less_or_equal(X0,n1) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_127,plain,
! [X0: $i] :
( less_or_equal(X0,n1)
| ~ less(X0,n2) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_128,plain,
! [X0: $i] :
( less(X0,n3)
| ~ less_or_equal(X0,n2) ),
inference(cnf_transformation,[],[f206]) ).
tcf(c_129,plain,
! [X0: $i] :
( less_or_equal(X0,n2)
| ~ less(X0,n3) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_142,plain,
! [X0: $i,X1: $i] :
( less(X1,X0)
| less(X0,X1)
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i] :
( ~ less(X1,X0)
| ~ less(X0,X1) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_144,plain,
! [X0: $i] : ~ less(X0,X0),
inference(cnf_transformation,[],[f250]) ).
tcf(c_145,plain,
holdsAt(waterLevel(n0),n0),
inference(cnf_transformation,[],[f222]) ).
tcf(c_146,plain,
~ holdsAt(filling,n0),
inference(cnf_transformation,[],[f223]) ).
tcf(c_151,negated_conjecture,
happens(sK11,n2),
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_239,plain,
! [X0: $i] :
( ~ less(X0,n3)
| less_or_equal(X0,n2) ),
inference(prop_impl_just,[status(thm)],[c_129]) ).
tcf(c_240,plain,
! [X0: $i] :
( less_or_equal(X0,n2)
| ~ less(X0,n3) ),
inference(renaming,[status(thm)],[c_239]) ).
tcf(c_241,plain,
! [X0: $i] :
( less(X0,n3)
| ~ less_or_equal(X0,n2) ),
inference(prop_impl_just,[status(thm)],[c_128]) ).
tcf(c_283,plain,
! [X0: $i,X1: $i,X2: $i] :
( trajectory(filling,X1,waterLevel(plus(X0,X2)),X2)
| ~ holdsAt(waterLevel(X0),X1) ),
inference(prop_impl_just,[status(thm)],[c_100]) ).
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_1319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( holdsAt(X5,plus(X1,X6))
| stoppedIn(X1,X0,plus(X1,X6))
| ~ less(n0,X6)
| ~ happens(X7,X1)
| ~ holdsAt(waterLevel(X3),X2)
| ~ initiates(X7,X0,X1)
| ( X4 != X6 )
| ( X1 != X2 )
| ( X0 != filling )
| ( waterLevel(plus(X3,X4)) != X5 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_283]) ).
tcf(c_1320,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( stoppedIn(X1,filling,plus(X1,X3))
| holdsAt(waterLevel(plus(X0,X3)),plus(X1,X3))
| ~ less(n0,X3)
| ~ happens(X2,X1)
| ~ initiates(X2,filling,X1)
| ~ holdsAt(waterLevel(X0),X1) ),
inference(unflattening,[status(thm)],[c_1319]) ).
tcf(c_2280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( holdsAt(X0,X1)
| releasedAt(X0,plus(X1,n1))
| stoppedIn(X3,filling,plus(X3,X5))
| holdsAt(waterLevel(plus(X4,X5)),plus(X3,X5))
| ~ less(n0,X5)
| ~ happens(X2,X3)
| ~ holdsAt(waterLevel(X4),X3)
| ~ holdsAt(X0,plus(X1,n1))
| ( X1 != X3 )
| ( X0 != filling )
| ( sK5(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_57,c_1320]) ).
tcf(c_2281,plain,
! [X0: $i,X1: $i,X2: $i] :
( holdsAt(filling,X0)
| releasedAt(filling,plus(X0,n1))
| stoppedIn(X0,filling,plus(X0,X2))
| holdsAt(waterLevel(plus(X1,X2)),plus(X0,X2))
| ~ less(n0,X2)
| ~ holdsAt(waterLevel(X1),X0)
| ~ holdsAt(filling,plus(X0,n1))
| ~ happens(sK5(filling,X0),X0) ),
inference(unflattening,[status(thm)],[c_2280]) ).
tcf(c_2299,plain,
! [X0: $i,X1: $i,X2: $i] :
( holdsAt(filling,X0)
| releasedAt(filling,plus(X0,n1))
| stoppedIn(X0,filling,plus(X0,X2))
| holdsAt(waterLevel(plus(X1,X2)),plus(X0,X2))
| ~ less(n0,X2)
| ~ holdsAt(waterLevel(X1),X0)
| ~ holdsAt(filling,plus(X0,n1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2281,c_56]) ).
tcf(c_2785,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_2786,plain,
! [X0: $i] :
( less(X0,n3)
| ~ less(X0,n2) ),
inference(unflattening,[status(thm)],[c_2785]) ).
tcf(c_2787,plain,
( less(n1,n3)
| ~ less(n1,n2) ),
inference(instantiation,[status(thm)],[c_2786]) ).
tcf(c_2997,plain,
! [X0: $i,X1: $i] :
( less(X0,n1)
| ~ less(X1,n3)
| ( n0 != n2 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_233,c_240]) ).
tcf(c_2998,plain,
! [X0: $i] :
( less(X0,n1)
| ~ less(X0,n3)
| ( n0 != n2 ) ),
inference(unflattening,[status(thm)],[c_2997]) ).
tcf(c_2999,plain,
( less(n1,n1)
| ~ less(n1,n3)
| ( n0 != n2 ) ),
inference(instantiation,[status(thm)],[c_2998]) ).
tcf(c_10309,negated_conjecture,
happens(sK11,n2),
inference(demodulation,[status(thm)],[c_151]) ).
tcf(c_10313,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( happens(X0,X2)
| ~ happens(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_10318,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( holdsAt(X0,X2)
| ~ holdsAt(X1,X3)
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_12247,plain,
! [X0: $i] :
( ( filling = filling )
| ~ terminates(tapOff,filling,X0) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_12386,plain,
! [X0: $i] :
( holdsAt(X0,plus(n0,n1))
| ~ happens(tapOn,n0)
| ~ initiates(tapOn,X0,n0) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_12416,plain,
! [X0: $i] :
( ~ happens(tapOn,n0)
| ~ initiates(tapOn,X0,n0)
| ~ releasedAt(X0,plus(n0,n1)) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_12542,plain,
( holdsAt(filling,n2)
| ( n0 = n2 ) ),
inference(superposition,[status(thm)],[c_10309,c_98]) ).
tcf(c_12652,plain,
( ( overflow = sK11 )
| ( n0 = n2 ) ),
inference(superposition,[status(thm)],[c_10309,c_99]) ).
tcf(c_12681,plain,
( holdsAt(waterLevel(n3),n2)
| ( n0 = n2 ) ),
inference(superposition,[status(thm)],[c_10309,c_97]) ).
tcf(c_12702,plain,
overflow = sK11,
inference(global_subsumption_just,[status(thm)],[c_12652,c_153,c_154,c_178,c_2787,c_2999,c_12652]) ).
tcf(c_12705,plain,
happens(overflow,n2),
inference(demodulation,[status(thm)],[c_10309,c_12702]) ).
tcf(c_13095,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_13691,plain,
! [X0: $i,X1: $i] :
( holdsAt(X0,X1)
| ~ holdsAt(filling,n2)
| ( X1 != n2 )
| ( X0 != filling ) ),
inference(instantiation,[status(thm)],[c_10318]) ).
tcf(c_14258,plain,
( holdsAt(filling,plus(n0,n1))
| ~ happens(tapOn,n0)
| ~ initiates(tapOn,filling,n0) ),
inference(instantiation,[status(thm)],[c_12386]) ).
tcf(c_14259,plain,
initiates(tapOn,filling,n0),
inference(instantiation,[status(thm)],[c_75]) ).
tcf(c_19895,plain,
( ~ happens(tapOn,n0)
| ~ initiates(tapOn,filling,n0)
| ~ releasedAt(filling,plus(n0,n1)) ),
inference(instantiation,[status(thm)],[c_12416]) ).
tcf(c_20116,plain,
! [X0: $i] :
( holdsAt(filling,X0)
| ~ holdsAt(filling,n2)
| ( filling != filling )
| ( X0 != n2 ) ),
inference(instantiation,[status(thm)],[c_13691]) ).
tcf(c_70696,plain,
! [X0: $i,X1: $i] :
( ~ holdsAt(X1,n3)
| ~ happens(X0,n2)
| ~ terminates(X0,X1,n2) ),
inference(superposition,[status(thm)],[c_114,c_13095]) ).
tcf(c_70728,plain,
( ~ holdsAt(filling,n3)
| ~ happens(overflow,n2) ),
inference(superposition,[status(thm)],[c_84,c_70696]) ).
tcf(c_70729,plain,
~ holdsAt(filling,n3),
inference(forward_subsumption_resolution,[status(thm)],[c_70728,c_12705]) ).
tcf(c_143120,plain,
( holdsAt(waterLevel(n3),n2)
| ( sK11 = tapOn ) ),
inference(resolution,[status(thm)],[c_94,c_10309]) ).
tcf(c_143131,plain,
holdsAt(waterLevel(n3),n2),
inference(global_subsumption_just,[status(thm)],[c_143120,c_153,c_154,c_178,c_2787,c_2999,c_12681]) ).
tcf(c_151089,plain,
! [X0: $i,X1: $i] :
( happens(X0,X1)
| ( X1 != n2 )
| ( X0 != sK11 ) ),
inference(resolution,[status(thm)],[c_10313,c_10309]) ).
tcf(c_178353,plain,
! [X0: $i,X1: $i,X2: $i] :
( happens(waterLevel(sK8(X1,X2,sK11)),X0)
| ~ sP1(X1,X2,sK11)
| ( X0 != n2 ) ),
inference(resolution,[status(thm)],[c_70,c_151089]) ).
tcf(c_181249,plain,
! [X0: $i,X1: $i,X2: $i] :
( holdsAt(filling,X0)
| ( X0 = n0 )
| ~ sP1(X1,X2,sK11)
| ( X0 != n2 ) ),
inference(resolution,[status(thm)],[c_178353,c_98]) ).
tcf(c_183892,plain,
! [X0: $i] :
( holdsAt(filling,X0)
| ( X0 != n2 ) ),
inference(global_subsumption_just,[status(thm)],[c_181249,c_153,c_154,c_83,c_178,c_2787,c_2999,c_12247,c_12542,c_20116]) ).
tcf(c_184809,plain,
! [X0: $i] :
( ( n3 = X0 )
| ~ holdsAt(waterLevel(X0),n2) ),
inference(resolution,[status(thm)],[c_101,c_143131]) ).
tcf(c_193520,plain,
( holdsAt(filling,n3)
| ~ holdsAt(waterLevel(n2),n2) ),
inference(resolution,[status(thm)],[c_184809,c_183892]) ).
tcf(c_336467,plain,
! [X0: $i] :
( holdsAt(filling,plus(X0,n1))
| ~ happens(tapOn,X0) ),
inference(superposition,[status(thm)],[c_75,c_62]) ).
tcf(c_336714,plain,
( holdsAt(filling,n2)
| ( tapOn = sK11 ) ),
inference(superposition,[status(thm)],[c_10309,c_95]) ).
tcf(c_336735,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK2(X0,X1,X2) = tapOn )
| ( sK2(X0,X1,X2) = overflow )
| ~ stoppedIn(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_49,c_96]) ).
tcf(c_336853,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_336892,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_336941,plain,
less(n0,n1),
inference(superposition,[status(thm)],[c_121,c_124]) ).
tcf(c_336958,plain,
! [X0: $i,X1: $i] :
( less_or_equal(sK3(X0,X1,n2),n1)
| ~ stoppedIn(X0,X1,n2) ),
inference(superposition,[status(thm)],[c_51,c_127]) ).
tcf(c_336961,plain,
less_or_equal(n0,n1),
inference(superposition,[status(thm)],[c_336941,c_120]) ).
tcf(c_336983,plain,
less(n0,n2),
inference(superposition,[status(thm)],[c_336961,c_126]) ).
tcf(c_337085,plain,
! [X0: $i] :
( less_or_equal(X0,n0)
| less(n1,X0)
| ( X0 = n1 ) ),
inference(superposition,[status(thm)],[c_142,c_125]) ).
tcf(c_337236,plain,
! [X0: $i,X1: $i,X2: $i] :
( holdsAt(filling,X0)
| releasedAt(filling,plus(X0,n1))
| stoppedIn(X0,filling,plus(X0,X2))
| holdsAt(waterLevel(plus(X1,X2)),plus(X0,X2))
| ~ less(n0,X2)
| ~ holdsAt(waterLevel(X1),X0)
| ~ holdsAt(filling,plus(X0,n1))
| ~ happens(sK5(filling,X0),X0) ),
inference(superposition,[status(thm)],[c_57,c_1320]) ).
tcf(c_337237,plain,
! [X0: $i,X1: $i,X2: $i] :
( stoppedIn(X1,filling,plus(X1,X2))
| holdsAt(waterLevel(plus(X0,X2)),plus(X1,X2))
| ~ less(n0,X2)
| ~ happens(tapOn,X1)
| ~ holdsAt(waterLevel(X0),X1) ),
inference(superposition,[status(thm)],[c_75,c_1320]) ).
tcf(c_337399,plain,
! [X0: $i] :
( holdsAt(filling,plus(n1,X0))
| ~ happens(tapOn,X0) ),
inference(superposition,[status(thm)],[c_119,c_336467]) ).
tcf(c_337401,plain,
! [X0: $i,X1: $i] :
( ~ happens(tapOn,X1)
| ~ happens(X0,X1)
| ~ terminates(X0,filling,X1) ),
inference(superposition,[status(thm)],[c_336467,c_63]) ).
tcf(c_338545,plain,
holdsAt(filling,n2),
inference(global_subsumption_just,[status(thm)],[c_336714,c_153,c_154,c_178,c_2787,c_2999,c_12542]) ).
tcf(c_339346,plain,
( ~ holdsAt(filling,n2)
| ~ happens(overflow,n1) ),
inference(superposition,[status(thm)],[c_84,c_336853]) ).
tcf(c_339347,plain,
~ happens(overflow,n1),
inference(forward_subsumption_resolution,[status(thm)],[c_339346,c_338545]) ).
tcf(c_339956,plain,
! [X0: $i,X1: $i] :
( ~ holdsAt(X1,n1)
| ~ happens(X0,n0)
| ~ terminates(X0,X1,n0) ),
inference(superposition,[status(thm)],[c_1022,c_336892]) ).
tcf(c_340452,plain,
! [X0: $i,X1: $i] :
( less(sK3(X0,X1,n2),n1)
| ( sK3(X0,X1,n2) = n1 )
| ~ stoppedIn(X0,X1,n2) ),
inference(superposition,[status(thm)],[c_336958,c_122]) ).
tcf(c_340706,plain,
! [X0: $i] :
( less(n1,X0)
| less(X0,n0)
| ( X0 = n1 )
| ( X0 = n0 ) ),
inference(superposition,[status(thm)],[c_337085,c_122]) ).
tcf(c_340711,plain,
! [X0: $i] :
( less(n1,X0)
| ( X0 = n1 )
| ( X0 = n0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_340706,c_123]) ).
tcf(c_341275,plain,
! [X0: $i,X1: $i,X2: $i] :
( holdsAt(filling,X0)
| releasedAt(filling,plus(X0,n1))
| stoppedIn(X0,filling,plus(X0,X2))
| holdsAt(waterLevel(plus(X1,X2)),plus(X0,X2))
| ~ less(n0,X2)
| ~ holdsAt(waterLevel(X1),X0)
| ~ holdsAt(filling,plus(X0,n1)) ),
inference(global_subsumption_just,[status(thm)],[c_337236,c_2299]) ).
tcf(c_341304,plain,
! [X0: $i] :
( holdsAt(filling,X0)
| releasedAt(filling,plus(X0,n1))
| holdsAt(waterLevel(n2),plus(X0,n2))
| stoppedIn(X0,filling,plus(X0,n2))
| ~ less(n0,n2)
| ~ holdsAt(waterLevel(n0),X0)
| ~ holdsAt(filling,plus(X0,n1)) ),
inference(superposition,[status(thm)],[c_111,c_341275]) ).
tcf(c_341428,plain,
! [X0: $i] :
( holdsAt(filling,X0)
| releasedAt(filling,plus(X0,n1))
| holdsAt(waterLevel(n2),plus(X0,n2))
| stoppedIn(X0,filling,plus(X0,n2))
| ~ holdsAt(waterLevel(n0),X0)
| ~ holdsAt(filling,plus(X0,n1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_341304,c_336983]) ).
tcf(c_341666,plain,
! [X0: $i] :
( stoppedIn(n0,filling,plus(n0,n2))
| holdsAt(waterLevel(plus(X0,n2)),n2)
| ~ less(n0,n2)
| ~ happens(tapOn,n0)
| ~ holdsAt(waterLevel(X0),n0) ),
inference(superposition,[status(thm)],[c_111,c_337237]) ).
tcf(c_341733,plain,
! [X0: $i] :
( stoppedIn(n0,filling,n2)
| holdsAt(waterLevel(plus(X0,n2)),n2)
| ~ less(n0,n2)
| ~ happens(tapOn,n0)
| ~ holdsAt(waterLevel(X0),n0) ),
inference(light_normalisation,[status(thm)],[c_341666,c_111]) ).
tcf(c_341734,plain,
! [X0: $i] :
( stoppedIn(n0,filling,n2)
| holdsAt(waterLevel(plus(X0,n2)),n2)
| ~ holdsAt(waterLevel(X0),n0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_341733,c_336983,c_92]) ).
tcf(c_342852,plain,
( holdsAt(filling,n1)
| ~ happens(tapOn,n0) ),
inference(superposition,[status(thm)],[c_1022,c_337399]) ).
tcf(c_342858,plain,
holdsAt(filling,n1),
inference(forward_subsumption_resolution,[status(thm)],[c_342852,c_92]) ).
tcf(c_342869,plain,
! [X0: $i,X1: $i] :
( ~ stoppedIn(X0,filling,X1)
| ~ happens(tapOn,sK3(X0,filling,X1))
| ~ happens(sK2(X0,filling,X1),sK3(X0,filling,X1)) ),
inference(superposition,[status(thm)],[c_52,c_337401]) ).
tcf(c_351600,plain,
( ~ holdsAt(filling,n1)
| ~ happens(overflow,n0) ),
inference(superposition,[status(thm)],[c_84,c_339956]) ).
tcf(c_351601,plain,
~ happens(overflow,n0),
inference(forward_subsumption_resolution,[status(thm)],[c_351600,c_342858]) ).
tcf(c_352938,plain,
! [X0: $i,X1: $i] :
( ( sK3(X0,X1,n2) = n1 )
| ~ stoppedIn(X0,X1,n2)
| ~ less(n1,sK3(X0,X1,n2)) ),
inference(superposition,[status(thm)],[c_340452,c_143]) ).
tcf(c_357210,plain,
( holdsAt(filling,n0)
| stoppedIn(n0,filling,n2)
| releasedAt(filling,plus(n0,n1))
| holdsAt(waterLevel(n2),plus(n0,n2))
| ~ holdsAt(waterLevel(n0),n0)
| ~ holdsAt(filling,plus(n0,n1)) ),
inference(superposition,[status(thm)],[c_111,c_341428]) ).
tcf(c_357227,plain,
( holdsAt(filling,n0)
| holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| releasedAt(filling,plus(n0,n1))
| ~ holdsAt(waterLevel(n0),n0)
| ~ holdsAt(filling,plus(n0,n1)) ),
inference(light_normalisation,[status(thm)],[c_357210,c_111]) ).
tcf(c_357228,plain,
( holdsAt(waterLevel(n2),n2)
| stoppedIn(n0,filling,n2)
| releasedAt(filling,plus(n0,n1))
| ~ holdsAt(filling,plus(n0,n1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_357227,c_146,c_145]) ).
tcf(c_359196,plain,
stoppedIn(n0,filling,n2),
inference(global_subsumption_just,[status(thm)],[c_341734,c_92,c_14258,c_14259,c_19895,c_70729,c_193520,c_357228]) ).
tcf(c_359199,plain,
( ( sK2(n0,filling,n2) = tapOn )
| ( sK2(n0,filling,n2) = overflow ) ),
inference(superposition,[status(thm)],[c_359196,c_336735]) ).
tcf(c_362732,plain,
! [X0: $i,X1: $i] :
( ~ stoppedIn(X0,filling,X1)
| ~ happens(tapOn,sK3(X0,filling,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_342869,c_49]) ).
tcf(c_389068,plain,
! [X0: $i,X1: $i] :
( ( sK3(X0,X1,n2) = n1 )
| ( sK3(X0,X1,n2) = n0 )
| ~ stoppedIn(X0,X1,n2) ),
inference(superposition,[status(thm)],[c_340711,c_352938]) ).
tcf(c_418100,plain,
( happens(tapOn,sK3(n0,filling,n2))
| ( sK2(n0,filling,n2) = overflow )
| ~ stoppedIn(n0,filling,n2) ),
inference(superposition,[status(thm)],[c_359199,c_49]) ).
tcf(c_418102,plain,
( happens(tapOn,sK3(n0,filling,n2))
| ( sK2(n0,filling,n2) = overflow ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_418100,c_359196]) ).
tcf(c_418153,plain,
( ( sK2(n0,filling,n2) = overflow )
| ~ stoppedIn(n0,filling,n2) ),
inference(superposition,[status(thm)],[c_418102,c_362732]) ).
tcf(c_418154,plain,
sK2(n0,filling,n2) = overflow,
inference(forward_subsumption_resolution,[status(thm)],[c_418153,c_359196]) ).
tcf(c_418491,plain,
( happens(overflow,sK3(n0,filling,n2))
| ~ stoppedIn(n0,filling,n2) ),
inference(superposition,[status(thm)],[c_418154,c_49]) ).
tcf(c_418492,plain,
happens(overflow,sK3(n0,filling,n2)),
inference(forward_subsumption_resolution,[status(thm)],[c_418491,c_359196]) ).
tcf(c_485473,plain,
( ( sK3(n0,filling,n2) = n1 )
| ( sK3(n0,filling,n2) = n0 ) ),
inference(superposition,[status(thm)],[c_359196,c_389068]) ).
tcf(c_485551,plain,
( happens(overflow,n0)
| ( sK3(n0,filling,n2) = n1 ) ),
inference(superposition,[status(thm)],[c_485473,c_418492]) ).
tcf(c_485552,plain,
sK3(n0,filling,n2) = n1,
inference(forward_subsumption_resolution,[status(thm)],[c_485551,c_351601]) ).
tcf(c_485563,plain,
happens(overflow,n1),
inference(demodulation,[status(thm)],[c_418492,c_485552]) ).
tcf(c_485564,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_485563,c_339347]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CSR013+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.42 % Computer : n014.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Fri Sep 25 08:06:32 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.43 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.48 Running first-order theorem proving
% 0.15/0.48 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
% 0.15/0.50
% 0.15/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.15/0.50
% 0.15/0.50 % Detected problem language: tptp
% 0.23/0.52 % Proving...
% 146.40/35.84 % SZS status Started for theBenchmark.p
% 146.40/35.84 % SZS status Theorem for theBenchmark.p
% 146.40/35.84
% 146.40/35.84 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 146.40/35.84
% 146.40/35.84 % ------ iProver source info
% 146.40/35.84
% 146.40/35.84 % git: date: 2026-07-19 20:42:38 +0200
% 146.40/35.84 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 146.40/35.84 % git: non_committed_changes: false
% 146.40/35.84
% 146.40/35.84 % ------ Parsing...
% 146.40/35.84 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 146.40/35.84
% 146.40/35.84 % ------ 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 %
% 146.40/35.84
% 146.40/35.84 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 146.40/35.84
% 146.40/35.84 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 146.40/35.84 % ------ Proving...
% 146.40/35.84 % ------ Problem Properties
% 146.40/35.84
% 146.40/35.84 %
% 146.40/35.84 % clauses 100
% 146.40/35.84 % conjectures 2
% 146.40/35.84 % EPR 54
% 146.40/35.84 % Horn 77
% 146.40/35.84 % unary 34
% 146.40/35.84 % binary 37
% 146.40/35.84 % lits 209
% 146.40/35.85 % lits eq 48
% 146.40/35.85 % fd_pure 0
% 146.40/35.85 % fd_pseudo 0
% 146.40/35.85 % fd_cond 14
% 146.40/35.85 % fd_pseudo_cond 4
% 146.40/35.85 % AC symbols 0
% 146.40/35.85
% 146.40/35.85 % ------ Schedule dynamic 5 is on
% 146.40/35.85
% 146.40/35.85 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 146.40/35.85
% 146.40/35.85
% 146.40/35.85 % ------
% 146.40/35.85 % Current options:
% 146.40/35.85 % ------
% 146.40/35.85
% 146.40/35.85
% 146.40/35.85 %
% 146.40/35.85
% 146.40/35.85 % ------ Proving...
% 146.40/35.85 % Proof_search_loop: time out after: 5657 full_loop iterations
% 146.40/35.85
% 146.40/35.85 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 146.40/35.85
% 146.40/35.85
% 146.40/35.85 % ------
% 146.40/35.85 % Current options:
% 146.40/35.85 % ------
% 146.40/35.85
% 146.40/35.85
% 146.40/35.85 %
% 146.40/35.85
% 146.40/35.85 % ------ Proving...
% 146.40/35.85 % Proof_search_loop: time out after: 10193 full_loop iterations
% 146.40/35.85
% 146.40/35.85 % ------ Option_1: Negative Selections Time Limit: 35.
% 146.40/35.85
% 146.40/35.85
% 146.40/35.85 % ------
% 146.40/35.85 % Current options:
% 146.40/35.85 % ------
% 146.40/35.85
% 146.40/35.85
% 146.40/35.85 %
% 146.40/35.85
% 146.40/35.85 % ------ Proving...
% 146.40/35.85 %
% 146.40/35.85
% 146.40/35.85 % SZS status Theorem for theBenchmark.p
% 146.40/35.85
% 146.40/35.85 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 146.40/35.85
% 146.40/35.85
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