TSTP Solution File: CSR005+2 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : CSR005+2 : TPTP v5.0.0. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : art04.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 2018MB
% OS       : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Tue Dec 28 22:44:30 EST 2010

% Result   : Theorem 4.25s
% Output   : Solution 4.25s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Reading problem from /tmp/SystemOnTPTP22423/CSR005+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP22423/CSR005+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP22423/CSR005+2.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=60 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p 
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC  time limit is 120s
% TreeLimitedRun: PID is 22519
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.91 CPU 2.01 WC
% # Preprocessing time     : 0.020 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,~(releasedAt(filling,n3)),file('/tmp/SRASS.s.p', filling_3_l1)).
% fof(2, axiom,holdsAt(waterLevel(n0),n0),file('/tmp/SRASS.s.p', waterLevel_0)).
% fof(10, axiom,![X3]:![X4]:![X5]:((holdsAt(waterLevel(X4),X3)&holdsAt(waterLevel(X5),X3))=>X4=X5),file('/tmp/SRASS.s.p', same_waterLevel)).
% fof(14, axiom,![X7]:![X3]:(happens(X7,X3)<=>((X7=tapOn&X3=n0)|((holdsAt(waterLevel(n3),X3)&holdsAt(filling,X3))&X7=overflow))),file('/tmp/SRASS.s.p', happens_all_defn)).
% fof(15, axiom,![X4]:![X3]:![X5]:![X8]:((holdsAt(waterLevel(X4),X3)&X5=plus(X4,X8))=>trajectory(filling,X3,waterLevel(X5),X8)),file('/tmp/SRASS.s.p', change_of_waterLevel)).
% fof(16, axiom,~(?[X2]:less(X2,n0)),file('/tmp/SRASS.s.p', less0)).
% fof(17, axiom,~(overflow=tapOn),file('/tmp/SRASS.s.p', overflow_not_tapOn)).
% fof(18, axiom,![X2]:![X6]:plus(X2,X6)=plus(X6,X2),file('/tmp/SRASS.s.p', symmetry_of_plus)).
% fof(19, axiom,![X7]:![X9]:![X3]:(initiates(X7,X9,X3)<=>((((X7=tapOn&X9=filling)|(X7=overflow&X9=spilling))|?[X1]:((holdsAt(waterLevel(X1),X3)&X7=tapOff)&X9=waterLevel(X1)))|?[X1]:((holdsAt(waterLevel(X1),X3)&X7=overflow)&X9=waterLevel(X1)))),file('/tmp/SRASS.s.p', initiates_all_defn)).
% fof(22, axiom,![X7]:![X3]:![X9]:((happens(X7,X3)&(initiates(X7,X9,X3)|terminates(X7,X9,X3)))=>~(releasedAt(X9,plus(X3,n1)))),file('/tmp/SRASS.s.p', happens_not_released)).
% fof(23, axiom,![X9]:![X3]:((~(releasedAt(X9,X3))&~(?[X7]:(happens(X7,X3)&releases(X7,X9,X3))))=>~(releasedAt(X9,plus(X3,n1)))),file('/tmp/SRASS.s.p', keep_not_released)).
% fof(25, axiom,![X9]:![X3]:(((holdsAt(X9,X3)&~(releasedAt(X9,plus(X3,n1))))&~(?[X7]:(happens(X7,X3)&terminates(X7,X9,X3))))=>holdsAt(X9,plus(X3,n1))),file('/tmp/SRASS.s.p', keep_holding)).
% fof(27, axiom,plus(n0,n1)=n1,file('/tmp/SRASS.s.p', plus0_1)).
% fof(29, axiom,plus(n0,n2)=n2,file('/tmp/SRASS.s.p', plus0_2)).
% fof(31, axiom,~(tapOff=tapOn),file('/tmp/SRASS.s.p', tapOff_not_tapOn)).
% fof(32, axiom,~(tapOff=overflow),file('/tmp/SRASS.s.p', tapOff_not_overflow)).
% fof(33, axiom,![X2]:![X6]:(less(X2,X6)<=>(~(less(X6,X2))&~(X6=X2))),file('/tmp/SRASS.s.p', less_property)).
% fof(34, axiom,![X7]:![X9]:![X3]:(terminates(X7,X9,X3)<=>((X7=tapOff&X9=filling)|(X7=overflow&X9=filling))),file('/tmp/SRASS.s.p', terminates_all_defn)).
% fof(35, axiom,plus(n1,n2)=n3,file('/tmp/SRASS.s.p', plus1_2)).
% fof(37, axiom,![X10]:![X9]:![X11]:(stoppedIn(X10,X9,X11)<=>?[X7]:?[X3]:(((happens(X7,X3)&less(X10,X3))&less(X3,X11))&terminates(X7,X9,X3))),file('/tmp/SRASS.s.p', stoppedin_defn)).
% fof(39, axiom,![X7]:![X3]:![X9]:![X12]:![X8]:(((((happens(X7,X3)&initiates(X7,X9,X3))&less(n0,X8))&trajectory(X9,X3,X12,X8))&~(stoppedIn(X3,X9,plus(X3,X8))))=>holdsAt(X12,plus(X3,X8))),file('/tmp/SRASS.s.p', change_holding)).
% fof(42, axiom,![X2]:(less(X2,n1)<=>less_or_equal(X2,n0)),file('/tmp/SRASS.s.p', less1)).
% fof(43, axiom,![X7]:![X3]:![X9]:((happens(X7,X3)&initiates(X7,X9,X3))=>holdsAt(X9,plus(X3,n1))),file('/tmp/SRASS.s.p', happens_holds)).
% fof(44, axiom,plus(n1,n1)=n2,file('/tmp/SRASS.s.p', plus1_1)).
% fof(47, axiom,![X2]:![X6]:(less_or_equal(X2,X6)<=>(less(X2,X6)|X2=X6)),file('/tmp/SRASS.s.p', less_or_equal)).
% fof(48, axiom,![X2]:(less(X2,n3)<=>less_or_equal(X2,n2)),file('/tmp/SRASS.s.p', less3)).
% fof(50, axiom,![X2]:(less(X2,n2)<=>less_or_equal(X2,n1)),file('/tmp/SRASS.s.p', less2)).
% fof(56, conjecture,holdsAt(filling,n3),file('/tmp/SRASS.s.p', filling_3)).
% fof(57, negated_conjecture,~(holdsAt(filling,n3)),inference(assume_negation,[status(cth)],[56])).
% fof(58, plain,~(releasedAt(filling,n3)),inference(fof_simplification,[status(thm)],[1,theory(equality)])).
% fof(64, plain,![X7]:![X3]:![X9]:((happens(X7,X3)&(initiates(X7,X9,X3)|terminates(X7,X9,X3)))=>~(releasedAt(X9,plus(X3,n1)))),inference(fof_simplification,[status(thm)],[22,theory(equality)])).
% fof(65, plain,![X9]:![X3]:((~(releasedAt(X9,X3))&~(?[X7]:(happens(X7,X3)&releases(X7,X9,X3))))=>~(releasedAt(X9,plus(X3,n1)))),inference(fof_simplification,[status(thm)],[23,theory(equality)])).
% fof(66, plain,![X9]:![X3]:(((holdsAt(X9,X3)&~(releasedAt(X9,plus(X3,n1))))&~(?[X7]:(happens(X7,X3)&terminates(X7,X9,X3))))=>holdsAt(X9,plus(X3,n1))),inference(fof_simplification,[status(thm)],[25,theory(equality)])).
% fof(68, plain,![X2]:![X6]:(less(X2,X6)<=>(~(less(X6,X2))&~(X6=X2))),inference(fof_simplification,[status(thm)],[33,theory(equality)])).
% fof(69, plain,![X7]:![X3]:![X9]:![X12]:![X8]:(((((happens(X7,X3)&initiates(X7,X9,X3))&less(n0,X8))&trajectory(X9,X3,X12,X8))&~(stoppedIn(X3,X9,plus(X3,X8))))=>holdsAt(X12,plus(X3,X8))),inference(fof_simplification,[status(thm)],[39,theory(equality)])).
% fof(72, negated_conjecture,~(holdsAt(filling,n3)),inference(fof_simplification,[status(thm)],[57,theory(equality)])).
% fof(73, plain,![X3]:![X7]:![X9]:(epred1_3(X9,X7,X3)<=>((((X7=tapOn&X9=filling)|(X7=overflow&X9=spilling))|?[X1]:((holdsAt(waterLevel(X1),X3)&X7=tapOff)&X9=waterLevel(X1)))|?[X1]:((holdsAt(waterLevel(X1),X3)&X7=overflow)&X9=waterLevel(X1)))),introduced(definition)).
% fof(74, plain,![X7]:![X9]:![X3]:(initiates(X7,X9,X3)<=>epred1_3(X9,X7,X3)),inference(apply_def,[status(esa)],[19,73,theory(equality)])).
% cnf(75,plain,(~releasedAt(filling,n3)),inference(split_conjunct,[status(thm)],[58])).
% cnf(76,plain,(holdsAt(waterLevel(n0),n0)),inference(split_conjunct,[status(thm)],[2])).
% fof(86, plain,![X3]:![X4]:![X5]:((~(holdsAt(waterLevel(X4),X3))|~(holdsAt(waterLevel(X5),X3)))|X4=X5),inference(fof_nnf,[status(thm)],[10])).
% fof(87, plain,![X6]:![X7]:![X8]:((~(holdsAt(waterLevel(X7),X6))|~(holdsAt(waterLevel(X8),X6)))|X7=X8),inference(variable_rename,[status(thm)],[86])).
% cnf(88,plain,(X1=X2|~holdsAt(waterLevel(X2),X3)|~holdsAt(waterLevel(X1),X3)),inference(split_conjunct,[status(thm)],[87])).
% fof(96, plain,![X7]:![X3]:((~(happens(X7,X3))|((X7=tapOn&X3=n0)|((holdsAt(waterLevel(n3),X3)&holdsAt(filling,X3))&X7=overflow)))&(((~(X7=tapOn)|~(X3=n0))&((~(holdsAt(waterLevel(n3),X3))|~(holdsAt(filling,X3)))|~(X7=overflow)))|happens(X7,X3))),inference(fof_nnf,[status(thm)],[14])).
% fof(97, plain,![X8]:![X9]:((~(happens(X8,X9))|((X8=tapOn&X9=n0)|((holdsAt(waterLevel(n3),X9)&holdsAt(filling,X9))&X8=overflow)))&(((~(X8=tapOn)|~(X9=n0))&((~(holdsAt(waterLevel(n3),X9))|~(holdsAt(filling,X9)))|~(X8=overflow)))|happens(X8,X9))),inference(variable_rename,[status(thm)],[96])).
% fof(98, plain,![X8]:![X9]:((((((holdsAt(waterLevel(n3),X9)|X8=tapOn)|~(happens(X8,X9)))&((holdsAt(filling,X9)|X8=tapOn)|~(happens(X8,X9))))&((X8=overflow|X8=tapOn)|~(happens(X8,X9))))&((((holdsAt(waterLevel(n3),X9)|X9=n0)|~(happens(X8,X9)))&((holdsAt(filling,X9)|X9=n0)|~(happens(X8,X9))))&((X8=overflow|X9=n0)|~(happens(X8,X9)))))&(((~(X8=tapOn)|~(X9=n0))|happens(X8,X9))&(((~(holdsAt(waterLevel(n3),X9))|~(holdsAt(filling,X9)))|~(X8=overflow))|happens(X8,X9)))),inference(distribute,[status(thm)],[97])).
% cnf(100,plain,(happens(X1,X2)|X2!=n0|X1!=tapOn),inference(split_conjunct,[status(thm)],[98])).
% cnf(104,plain,(X1=tapOn|X1=overflow|~happens(X1,X2)),inference(split_conjunct,[status(thm)],[98])).
% cnf(106,plain,(X1=tapOn|holdsAt(waterLevel(n3),X2)|~happens(X1,X2)),inference(split_conjunct,[status(thm)],[98])).
% fof(107, plain,![X4]:![X3]:![X5]:![X8]:((~(holdsAt(waterLevel(X4),X3))|~(X5=plus(X4,X8)))|trajectory(filling,X3,waterLevel(X5),X8)),inference(fof_nnf,[status(thm)],[15])).
% fof(108, plain,![X9]:![X10]:![X11]:![X12]:((~(holdsAt(waterLevel(X9),X10))|~(X11=plus(X9,X12)))|trajectory(filling,X10,waterLevel(X11),X12)),inference(variable_rename,[status(thm)],[107])).
% cnf(109,plain,(trajectory(filling,X1,waterLevel(X2),X3)|X2!=plus(X4,X3)|~holdsAt(waterLevel(X4),X1)),inference(split_conjunct,[status(thm)],[108])).
% fof(110, plain,![X2]:~(less(X2,n0)),inference(fof_nnf,[status(thm)],[16])).
% fof(111, plain,![X3]:~(less(X3,n0)),inference(variable_rename,[status(thm)],[110])).
% cnf(112,plain,(~less(X1,n0)),inference(split_conjunct,[status(thm)],[111])).
% cnf(113,plain,(overflow!=tapOn),inference(split_conjunct,[status(thm)],[17])).
% fof(114, plain,![X7]:![X8]:plus(X7,X8)=plus(X8,X7),inference(variable_rename,[status(thm)],[18])).
% cnf(115,plain,(plus(X1,X2)=plus(X2,X1)),inference(split_conjunct,[status(thm)],[114])).
% fof(116, plain,![X7]:![X9]:![X3]:((~(initiates(X7,X9,X3))|epred1_3(X9,X7,X3))&(~(epred1_3(X9,X7,X3))|initiates(X7,X9,X3))),inference(fof_nnf,[status(thm)],[74])).
% fof(117, plain,![X10]:![X11]:![X12]:((~(initiates(X10,X11,X12))|epred1_3(X11,X10,X12))&(~(epred1_3(X11,X10,X12))|initiates(X10,X11,X12))),inference(variable_rename,[status(thm)],[116])).
% cnf(118,plain,(initiates(X1,X2,X3)|~epred1_3(X2,X1,X3)),inference(split_conjunct,[status(thm)],[117])).
% fof(127, plain,![X7]:![X3]:![X9]:((~(happens(X7,X3))|(~(initiates(X7,X9,X3))&~(terminates(X7,X9,X3))))|~(releasedAt(X9,plus(X3,n1)))),inference(fof_nnf,[status(thm)],[64])).
% fof(128, plain,![X10]:![X11]:![X12]:((~(happens(X10,X11))|(~(initiates(X10,X12,X11))&~(terminates(X10,X12,X11))))|~(releasedAt(X12,plus(X11,n1)))),inference(variable_rename,[status(thm)],[127])).
% fof(129, plain,![X10]:![X11]:![X12]:(((~(initiates(X10,X12,X11))|~(happens(X10,X11)))|~(releasedAt(X12,plus(X11,n1))))&((~(terminates(X10,X12,X11))|~(happens(X10,X11)))|~(releasedAt(X12,plus(X11,n1))))),inference(distribute,[status(thm)],[128])).
% cnf(131,plain,(~releasedAt(X1,plus(X2,n1))|~happens(X3,X2)|~initiates(X3,X1,X2)),inference(split_conjunct,[status(thm)],[129])).
% fof(132, plain,![X9]:![X3]:((releasedAt(X9,X3)|?[X7]:(happens(X7,X3)&releases(X7,X9,X3)))|~(releasedAt(X9,plus(X3,n1)))),inference(fof_nnf,[status(thm)],[65])).
% fof(133, plain,![X10]:![X11]:((releasedAt(X10,X11)|?[X12]:(happens(X12,X11)&releases(X12,X10,X11)))|~(releasedAt(X10,plus(X11,n1)))),inference(variable_rename,[status(thm)],[132])).
% fof(134, plain,![X10]:![X11]:((releasedAt(X10,X11)|(happens(esk2_2(X10,X11),X11)&releases(esk2_2(X10,X11),X10,X11)))|~(releasedAt(X10,plus(X11,n1)))),inference(skolemize,[status(esa)],[133])).
% fof(135, plain,![X10]:![X11]:(((happens(esk2_2(X10,X11),X11)|releasedAt(X10,X11))|~(releasedAt(X10,plus(X11,n1))))&((releases(esk2_2(X10,X11),X10,X11)|releasedAt(X10,X11))|~(releasedAt(X10,plus(X11,n1))))),inference(distribute,[status(thm)],[134])).
% cnf(137,plain,(releasedAt(X1,X2)|happens(esk2_2(X1,X2),X2)|~releasedAt(X1,plus(X2,n1))),inference(split_conjunct,[status(thm)],[135])).
% fof(141, plain,![X9]:![X3]:(((~(holdsAt(X9,X3))|releasedAt(X9,plus(X3,n1)))|?[X7]:(happens(X7,X3)&terminates(X7,X9,X3)))|holdsAt(X9,plus(X3,n1))),inference(fof_nnf,[status(thm)],[66])).
% fof(142, plain,![X10]:![X11]:(((~(holdsAt(X10,X11))|releasedAt(X10,plus(X11,n1)))|?[X12]:(happens(X12,X11)&terminates(X12,X10,X11)))|holdsAt(X10,plus(X11,n1))),inference(variable_rename,[status(thm)],[141])).
% fof(143, plain,![X10]:![X11]:(((~(holdsAt(X10,X11))|releasedAt(X10,plus(X11,n1)))|(happens(esk3_2(X10,X11),X11)&terminates(esk3_2(X10,X11),X10,X11)))|holdsAt(X10,plus(X11,n1))),inference(skolemize,[status(esa)],[142])).
% fof(144, plain,![X10]:![X11]:(((happens(esk3_2(X10,X11),X11)|(~(holdsAt(X10,X11))|releasedAt(X10,plus(X11,n1))))|holdsAt(X10,plus(X11,n1)))&((terminates(esk3_2(X10,X11),X10,X11)|(~(holdsAt(X10,X11))|releasedAt(X10,plus(X11,n1))))|holdsAt(X10,plus(X11,n1)))),inference(distribute,[status(thm)],[143])).
% cnf(145,plain,(holdsAt(X1,plus(X2,n1))|releasedAt(X1,plus(X2,n1))|terminates(esk3_2(X1,X2),X1,X2)|~holdsAt(X1,X2)),inference(split_conjunct,[status(thm)],[144])).
% cnf(146,plain,(holdsAt(X1,plus(X2,n1))|releasedAt(X1,plus(X2,n1))|happens(esk3_2(X1,X2),X2)|~holdsAt(X1,X2)),inference(split_conjunct,[status(thm)],[144])).
% cnf(153,plain,(plus(n0,n1)=n1),inference(split_conjunct,[status(thm)],[27])).
% cnf(162,plain,(plus(n0,n2)=n2),inference(split_conjunct,[status(thm)],[29])).
% cnf(164,plain,(tapOff!=tapOn),inference(split_conjunct,[status(thm)],[31])).
% cnf(165,plain,(tapOff!=overflow),inference(split_conjunct,[status(thm)],[32])).
% fof(166, plain,![X2]:![X6]:((~(less(X2,X6))|(~(less(X6,X2))&~(X6=X2)))&((less(X6,X2)|X6=X2)|less(X2,X6))),inference(fof_nnf,[status(thm)],[68])).
% fof(167, plain,![X7]:![X8]:((~(less(X7,X8))|(~(less(X8,X7))&~(X8=X7)))&((less(X8,X7)|X8=X7)|less(X7,X8))),inference(variable_rename,[status(thm)],[166])).
% fof(168, plain,![X7]:![X8]:(((~(less(X8,X7))|~(less(X7,X8)))&(~(X8=X7)|~(less(X7,X8))))&((less(X8,X7)|X8=X7)|less(X7,X8))),inference(distribute,[status(thm)],[167])).
% cnf(169,plain,(less(X1,X2)|X2=X1|less(X2,X1)),inference(split_conjunct,[status(thm)],[168])).
% cnf(170,plain,(~less(X1,X2)|X2!=X1),inference(split_conjunct,[status(thm)],[168])).
% cnf(171,plain,(~less(X1,X2)|~less(X2,X1)),inference(split_conjunct,[status(thm)],[168])).
% fof(172, plain,![X7]:![X9]:![X3]:((~(terminates(X7,X9,X3))|((X7=tapOff&X9=filling)|(X7=overflow&X9=filling)))&(((~(X7=tapOff)|~(X9=filling))&(~(X7=overflow)|~(X9=filling)))|terminates(X7,X9,X3))),inference(fof_nnf,[status(thm)],[34])).
% fof(173, plain,![X10]:![X11]:![X12]:((~(terminates(X10,X11,X12))|((X10=tapOff&X11=filling)|(X10=overflow&X11=filling)))&(((~(X10=tapOff)|~(X11=filling))&(~(X10=overflow)|~(X11=filling)))|terminates(X10,X11,X12))),inference(variable_rename,[status(thm)],[172])).
% fof(174, plain,![X10]:![X11]:![X12]:(((((X10=overflow|X10=tapOff)|~(terminates(X10,X11,X12)))&((X11=filling|X10=tapOff)|~(terminates(X10,X11,X12))))&(((X10=overflow|X11=filling)|~(terminates(X10,X11,X12)))&((X11=filling|X11=filling)|~(terminates(X10,X11,X12)))))&(((~(X10=tapOff)|~(X11=filling))|terminates(X10,X11,X12))&((~(X10=overflow)|~(X11=filling))|terminates(X10,X11,X12)))),inference(distribute,[status(thm)],[173])).
% cnf(180,plain,(X1=tapOff|X1=overflow|~terminates(X1,X2,X3)),inference(split_conjunct,[status(thm)],[174])).
% cnf(181,plain,(plus(n1,n2)=n3),inference(split_conjunct,[status(thm)],[35])).
% fof(183, plain,![X10]:![X9]:![X11]:((~(stoppedIn(X10,X9,X11))|?[X7]:?[X3]:(((happens(X7,X3)&less(X10,X3))&less(X3,X11))&terminates(X7,X9,X3)))&(![X7]:![X3]:(((~(happens(X7,X3))|~(less(X10,X3)))|~(less(X3,X11)))|~(terminates(X7,X9,X3)))|stoppedIn(X10,X9,X11))),inference(fof_nnf,[status(thm)],[37])).
% fof(184, plain,![X12]:![X13]:![X14]:((~(stoppedIn(X12,X13,X14))|?[X15]:?[X16]:(((happens(X15,X16)&less(X12,X16))&less(X16,X14))&terminates(X15,X13,X16)))&(![X17]:![X18]:(((~(happens(X17,X18))|~(less(X12,X18)))|~(less(X18,X14)))|~(terminates(X17,X13,X18)))|stoppedIn(X12,X13,X14))),inference(variable_rename,[status(thm)],[183])).
% fof(185, plain,![X12]:![X13]:![X14]:((~(stoppedIn(X12,X13,X14))|(((happens(esk6_3(X12,X13,X14),esk7_3(X12,X13,X14))&less(X12,esk7_3(X12,X13,X14)))&less(esk7_3(X12,X13,X14),X14))&terminates(esk6_3(X12,X13,X14),X13,esk7_3(X12,X13,X14))))&(![X17]:![X18]:(((~(happens(X17,X18))|~(less(X12,X18)))|~(less(X18,X14)))|~(terminates(X17,X13,X18)))|stoppedIn(X12,X13,X14))),inference(skolemize,[status(esa)],[184])).
% fof(186, plain,![X12]:![X13]:![X14]:![X17]:![X18]:(((((~(happens(X17,X18))|~(less(X12,X18)))|~(less(X18,X14)))|~(terminates(X17,X13,X18)))|stoppedIn(X12,X13,X14))&(~(stoppedIn(X12,X13,X14))|(((happens(esk6_3(X12,X13,X14),esk7_3(X12,X13,X14))&less(X12,esk7_3(X12,X13,X14)))&less(esk7_3(X12,X13,X14),X14))&terminates(esk6_3(X12,X13,X14),X13,esk7_3(X12,X13,X14))))),inference(shift_quantors,[status(thm)],[185])).
% fof(187, plain,![X12]:![X13]:![X14]:![X17]:![X18]:(((((~(happens(X17,X18))|~(less(X12,X18)))|~(less(X18,X14)))|~(terminates(X17,X13,X18)))|stoppedIn(X12,X13,X14))&((((happens(esk6_3(X12,X13,X14),esk7_3(X12,X13,X14))|~(stoppedIn(X12,X13,X14)))&(less(X12,esk7_3(X12,X13,X14))|~(stoppedIn(X12,X13,X14))))&(less(esk7_3(X12,X13,X14),X14)|~(stoppedIn(X12,X13,X14))))&(terminates(esk6_3(X12,X13,X14),X13,esk7_3(X12,X13,X14))|~(stoppedIn(X12,X13,X14))))),inference(distribute,[status(thm)],[186])).
% cnf(188,plain,(terminates(esk6_3(X1,X2,X3),X2,esk7_3(X1,X2,X3))|~stoppedIn(X1,X2,X3)),inference(split_conjunct,[status(thm)],[187])).
% cnf(189,plain,(less(esk7_3(X1,X2,X3),X3)|~stoppedIn(X1,X2,X3)),inference(split_conjunct,[status(thm)],[187])).
% cnf(190,plain,(less(X1,esk7_3(X1,X2,X3))|~stoppedIn(X1,X2,X3)),inference(split_conjunct,[status(thm)],[187])).
% cnf(191,plain,(happens(esk6_3(X1,X2,X3),esk7_3(X1,X2,X3))|~stoppedIn(X1,X2,X3)),inference(split_conjunct,[status(thm)],[187])).
% fof(203, plain,![X7]:![X3]:![X9]:![X12]:![X8]:(((((~(happens(X7,X3))|~(initiates(X7,X9,X3)))|~(less(n0,X8)))|~(trajectory(X9,X3,X12,X8)))|stoppedIn(X3,X9,plus(X3,X8)))|holdsAt(X12,plus(X3,X8))),inference(fof_nnf,[status(thm)],[69])).
% fof(204, plain,![X13]:![X14]:![X15]:![X16]:![X17]:(((((~(happens(X13,X14))|~(initiates(X13,X15,X14)))|~(less(n0,X17)))|~(trajectory(X15,X14,X16,X17)))|stoppedIn(X14,X15,plus(X14,X17)))|holdsAt(X16,plus(X14,X17))),inference(variable_rename,[status(thm)],[203])).
% cnf(205,plain,(holdsAt(X1,plus(X2,X3))|stoppedIn(X2,X4,plus(X2,X3))|~trajectory(X4,X2,X1,X3)|~less(n0,X3)|~initiates(X5,X4,X2)|~happens(X5,X2)),inference(split_conjunct,[status(thm)],[204])).
% fof(210, plain,![X2]:((~(less(X2,n1))|less_or_equal(X2,n0))&(~(less_or_equal(X2,n0))|less(X2,n1))),inference(fof_nnf,[status(thm)],[42])).
% fof(211, plain,![X3]:((~(less(X3,n1))|less_or_equal(X3,n0))&(~(less_or_equal(X3,n0))|less(X3,n1))),inference(variable_rename,[status(thm)],[210])).
% cnf(212,plain,(less(X1,n1)|~less_or_equal(X1,n0)),inference(split_conjunct,[status(thm)],[211])).
% cnf(213,plain,(less_or_equal(X1,n0)|~less(X1,n1)),inference(split_conjunct,[status(thm)],[211])).
% fof(214, plain,![X7]:![X3]:![X9]:((~(happens(X7,X3))|~(initiates(X7,X9,X3)))|holdsAt(X9,plus(X3,n1))),inference(fof_nnf,[status(thm)],[43])).
% fof(215, plain,![X10]:![X11]:![X12]:((~(happens(X10,X11))|~(initiates(X10,X12,X11)))|holdsAt(X12,plus(X11,n1))),inference(variable_rename,[status(thm)],[214])).
% cnf(216,plain,(holdsAt(X1,plus(X2,n1))|~initiates(X3,X1,X2)|~happens(X3,X2)),inference(split_conjunct,[status(thm)],[215])).
% cnf(217,plain,(plus(n1,n1)=n2),inference(split_conjunct,[status(thm)],[44])).
% fof(222, plain,![X2]:![X6]:((~(less_or_equal(X2,X6))|(less(X2,X6)|X2=X6))&((~(less(X2,X6))&~(X2=X6))|less_or_equal(X2,X6))),inference(fof_nnf,[status(thm)],[47])).
% fof(223, plain,![X7]:![X8]:((~(less_or_equal(X7,X8))|(less(X7,X8)|X7=X8))&((~(less(X7,X8))&~(X7=X8))|less_or_equal(X7,X8))),inference(variable_rename,[status(thm)],[222])).
% fof(224, plain,![X7]:![X8]:((~(less_or_equal(X7,X8))|(less(X7,X8)|X7=X8))&((~(less(X7,X8))|less_or_equal(X7,X8))&(~(X7=X8)|less_or_equal(X7,X8)))),inference(distribute,[status(thm)],[223])).
% cnf(225,plain,(less_or_equal(X1,X2)|X1!=X2),inference(split_conjunct,[status(thm)],[224])).
% cnf(226,plain,(less_or_equal(X1,X2)|~less(X1,X2)),inference(split_conjunct,[status(thm)],[224])).
% cnf(227,plain,(X1=X2|less(X1,X2)|~less_or_equal(X1,X2)),inference(split_conjunct,[status(thm)],[224])).
% fof(228, plain,![X2]:((~(less(X2,n3))|less_or_equal(X2,n2))&(~(less_or_equal(X2,n2))|less(X2,n3))),inference(fof_nnf,[status(thm)],[48])).
% fof(229, plain,![X3]:((~(less(X3,n3))|less_or_equal(X3,n2))&(~(less_or_equal(X3,n2))|less(X3,n3))),inference(variable_rename,[status(thm)],[228])).
% cnf(230,plain,(less(X1,n3)|~less_or_equal(X1,n2)),inference(split_conjunct,[status(thm)],[229])).
% fof(236, plain,![X2]:((~(less(X2,n2))|less_or_equal(X2,n1))&(~(less_or_equal(X2,n1))|less(X2,n2))),inference(fof_nnf,[status(thm)],[50])).
% fof(237, plain,![X3]:((~(less(X3,n2))|less_or_equal(X3,n1))&(~(less_or_equal(X3,n1))|less(X3,n2))),inference(variable_rename,[status(thm)],[236])).
% cnf(238,plain,(less(X1,n2)|~less_or_equal(X1,n1)),inference(split_conjunct,[status(thm)],[237])).
% cnf(239,plain,(less_or_equal(X1,n1)|~less(X1,n2)),inference(split_conjunct,[status(thm)],[237])).
% cnf(260,negated_conjecture,(~holdsAt(filling,n3)),inference(split_conjunct,[status(thm)],[72])).
% fof(261, plain,![X3]:![X7]:![X9]:((~(epred1_3(X9,X7,X3))|((((X7=tapOn&X9=filling)|(X7=overflow&X9=spilling))|?[X1]:((holdsAt(waterLevel(X1),X3)&X7=tapOff)&X9=waterLevel(X1)))|?[X1]:((holdsAt(waterLevel(X1),X3)&X7=overflow)&X9=waterLevel(X1))))&(((((~(X7=tapOn)|~(X9=filling))&(~(X7=overflow)|~(X9=spilling)))&![X1]:((~(holdsAt(waterLevel(X1),X3))|~(X7=tapOff))|~(X9=waterLevel(X1))))&![X1]:((~(holdsAt(waterLevel(X1),X3))|~(X7=overflow))|~(X9=waterLevel(X1))))|epred1_3(X9,X7,X3))),inference(fof_nnf,[status(thm)],[73])).
% fof(262, plain,![X10]:![X11]:![X12]:((~(epred1_3(X12,X11,X10))|((((X11=tapOn&X12=filling)|(X11=overflow&X12=spilling))|?[X13]:((holdsAt(waterLevel(X13),X10)&X11=tapOff)&X12=waterLevel(X13)))|?[X14]:((holdsAt(waterLevel(X14),X10)&X11=overflow)&X12=waterLevel(X14))))&(((((~(X11=tapOn)|~(X12=filling))&(~(X11=overflow)|~(X12=spilling)))&![X15]:((~(holdsAt(waterLevel(X15),X10))|~(X11=tapOff))|~(X12=waterLevel(X15))))&![X16]:((~(holdsAt(waterLevel(X16),X10))|~(X11=overflow))|~(X12=waterLevel(X16))))|epred1_3(X12,X11,X10))),inference(variable_rename,[status(thm)],[261])).
% fof(263, plain,![X10]:![X11]:![X12]:((~(epred1_3(X12,X11,X10))|((((X11=tapOn&X12=filling)|(X11=overflow&X12=spilling))|((holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)&X11=tapOff)&X12=waterLevel(esk10_3(X10,X11,X12))))|((holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)&X11=overflow)&X12=waterLevel(esk11_3(X10,X11,X12)))))&(((((~(X11=tapOn)|~(X12=filling))&(~(X11=overflow)|~(X12=spilling)))&![X15]:((~(holdsAt(waterLevel(X15),X10))|~(X11=tapOff))|~(X12=waterLevel(X15))))&![X16]:((~(holdsAt(waterLevel(X16),X10))|~(X11=overflow))|~(X12=waterLevel(X16))))|epred1_3(X12,X11,X10))),inference(skolemize,[status(esa)],[262])).
% fof(264, plain,![X10]:![X11]:![X12]:![X15]:![X16]:(((((~(holdsAt(waterLevel(X16),X10))|~(X11=overflow))|~(X12=waterLevel(X16)))&(((~(holdsAt(waterLevel(X15),X10))|~(X11=tapOff))|~(X12=waterLevel(X15)))&((~(X11=tapOn)|~(X12=filling))&(~(X11=overflow)|~(X12=spilling)))))|epred1_3(X12,X11,X10))&(~(epred1_3(X12,X11,X10))|((((X11=tapOn&X12=filling)|(X11=overflow&X12=spilling))|((holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)&X11=tapOff)&X12=waterLevel(esk10_3(X10,X11,X12))))|((holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)&X11=overflow)&X12=waterLevel(esk11_3(X10,X11,X12)))))),inference(shift_quantors,[status(thm)],[263])).
% fof(265, plain,![X10]:![X11]:![X12]:![X15]:![X16]:(((((~(holdsAt(waterLevel(X16),X10))|~(X11=overflow))|~(X12=waterLevel(X16)))|epred1_3(X12,X11,X10))&((((~(holdsAt(waterLevel(X15),X10))|~(X11=tapOff))|~(X12=waterLevel(X15)))|epred1_3(X12,X11,X10))&(((~(X11=tapOn)|~(X12=filling))|epred1_3(X12,X11,X10))&((~(X11=overflow)|~(X12=spilling))|epred1_3(X12,X11,X10)))))&((((((((holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)|(holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)|(X11=overflow|X11=tapOn)))|~(epred1_3(X12,X11,X10)))&((X11=overflow|(holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)|(X11=overflow|X11=tapOn)))|~(epred1_3(X12,X11,X10))))&((X12=waterLevel(esk11_3(X10,X11,X12))|(holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)|(X11=overflow|X11=tapOn)))|~(epred1_3(X12,X11,X10))))&((((holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)|(X11=tapOff|(X11=overflow|X11=tapOn)))|~(epred1_3(X12,X11,X10)))&((X11=overflow|(X11=tapOff|(X11=overflow|X11=tapOn)))|~(epred1_3(X12,X11,X10))))&((X12=waterLevel(esk11_3(X10,X11,X12))|(X11=tapOff|(X11=overflow|X11=tapOn)))|~(epred1_3(X12,X11,X10)))))&((((holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)|(X12=waterLevel(esk10_3(X10,X11,X12))|(X11=overflow|X11=tapOn)))|~(epred1_3(X12,X11,X10)))&((X11=overflow|(X12=waterLevel(esk10_3(X10,X11,X12))|(X11=overflow|X11=tapOn)))|~(epred1_3(X12,X11,X10))))&((X12=waterLevel(esk11_3(X10,X11,X12))|(X12=waterLevel(esk10_3(X10,X11,X12))|(X11=overflow|X11=tapOn)))|~(epred1_3(X12,X11,X10)))))&((((((holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)|(holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)|(X12=spilling|X11=tapOn)))|~(epred1_3(X12,X11,X10)))&((X11=overflow|(holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)|(X12=spilling|X11=tapOn)))|~(epred1_3(X12,X11,X10))))&((X12=waterLevel(esk11_3(X10,X11,X12))|(holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)|(X12=spilling|X11=tapOn)))|~(epred1_3(X12,X11,X10))))&((((holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)|(X11=tapOff|(X12=spilling|X11=tapOn)))|~(epred1_3(X12,X11,X10)))&((X11=overflow|(X11=tapOff|(X12=spilling|X11=tapOn)))|~(epred1_3(X12,X11,X10))))&((X12=waterLevel(esk11_3(X10,X11,X12))|(X11=tapOff|(X12=spilling|X11=tapOn)))|~(epred1_3(X12,X11,X10)))))&((((holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)|(X12=waterLevel(esk10_3(X10,X11,X12))|(X12=spilling|X11=tapOn)))|~(epred1_3(X12,X11,X10)))&((X11=overflow|(X12=waterLevel(esk10_3(X10,X11,X12))|(X12=spilling|X11=tapOn)))|~(epred1_3(X12,X11,X10))))&((X12=waterLevel(esk11_3(X10,X11,X12))|(X12=waterLevel(esk10_3(X10,X11,X12))|(X12=spilling|X11=tapOn)))|~(epred1_3(X12,X11,X10))))))&(((((((holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)|(holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)|(X11=overflow|X12=filling)))|~(epred1_3(X12,X11,X10)))&((X11=overflow|(holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)|(X11=overflow|X12=filling)))|~(epred1_3(X12,X11,X10))))&((X12=waterLevel(esk11_3(X10,X11,X12))|(holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)|(X11=overflow|X12=filling)))|~(epred1_3(X12,X11,X10))))&((((holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)|(X11=tapOff|(X11=overflow|X12=filling)))|~(epred1_3(X12,X11,X10)))&((X11=overflow|(X11=tapOff|(X11=overflow|X12=filling)))|~(epred1_3(X12,X11,X10))))&((X12=waterLevel(esk11_3(X10,X11,X12))|(X11=tapOff|(X11=overflow|X12=filling)))|~(epred1_3(X12,X11,X10)))))&((((holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)|(X12=waterLevel(esk10_3(X10,X11,X12))|(X11=overflow|X12=filling)))|~(epred1_3(X12,X11,X10)))&((X11=overflow|(X12=waterLevel(esk10_3(X10,X11,X12))|(X11=overflow|X12=filling)))|~(epred1_3(X12,X11,X10))))&((X12=waterLevel(esk11_3(X10,X11,X12))|(X12=waterLevel(esk10_3(X10,X11,X12))|(X11=overflow|X12=filling)))|~(epred1_3(X12,X11,X10)))))&((((((holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)|(holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)|(X12=spilling|X12=filling)))|~(epred1_3(X12,X11,X10)))&((X11=overflow|(holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)|(X12=spilling|X12=filling)))|~(epred1_3(X12,X11,X10))))&((X12=waterLevel(esk11_3(X10,X11,X12))|(holdsAt(waterLevel(esk10_3(X10,X11,X12)),X10)|(X12=spilling|X12=filling)))|~(epred1_3(X12,X11,X10))))&((((holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)|(X11=tapOff|(X12=spilling|X12=filling)))|~(epred1_3(X12,X11,X10)))&((X11=overflow|(X11=tapOff|(X12=spilling|X12=filling)))|~(epred1_3(X12,X11,X10))))&((X12=waterLevel(esk11_3(X10,X11,X12))|(X11=tapOff|(X12=spilling|X12=filling)))|~(epred1_3(X12,X11,X10)))))&((((holdsAt(waterLevel(esk11_3(X10,X11,X12)),X10)|(X12=waterLevel(esk10_3(X10,X11,X12))|(X12=spilling|X12=filling)))|~(epred1_3(X12,X11,X10)))&((X11=overflow|(X12=waterLevel(esk10_3(X10,X11,X12))|(X12=spilling|X12=filling)))|~(epred1_3(X12,X11,X10))))&((X12=waterLevel(esk11_3(X10,X11,X12))|(X12=waterLevel(esk10_3(X10,X11,X12))|(X12=spilling|X12=filling)))|~(epred1_3(X12,X11,X10)))))))),inference(distribute,[status(thm)],[264])).
% cnf(303,plain,(epred1_3(X1,X2,X3)|X1!=filling|X2!=tapOn),inference(split_conjunct,[status(thm)],[265])).
% cnf(306,plain,(less_or_equal(X1,X1)),inference(er,[status(thm)],[225,theory(equality)])).
% cnf(307,plain,(~less(X1,X1)),inference(er,[status(thm)],[170,theory(equality)])).
% cnf(317,plain,(plus(n1,n0)=n1),inference(rw,[status(thm)],[153,115,theory(equality)])).
% cnf(327,plain,(happens(X1,n0)|tapOn!=X1),inference(er,[status(thm)],[100,theory(equality)])).
% cnf(342,plain,(epred1_3(filling,X1,X2)|tapOn!=X1),inference(er,[status(thm)],[303,theory(equality)])).
% cnf(345,plain,(less_or_equal(X1,n0)|X1=n1|less(n1,X1)),inference(spm,[status(thm)],[213,169,theory(equality)])).
% cnf(347,plain,(less_or_equal(X1,n1)|X1=n2|less(n2,X1)),inference(spm,[status(thm)],[239,169,theory(equality)])).
% cnf(370,plain,(trajectory(filling,X1,waterLevel(plus(X2,X3)),X3)|~holdsAt(waterLevel(X2),X1)),inference(er,[status(thm)],[109,theory(equality)])).
% cnf(382,plain,(~initiates(X1,X2,X3)|~happens(X1,X3)|~releasedAt(X2,plus(n1,X3))),inference(spm,[status(thm)],[131,115,theory(equality)])).
% cnf(387,plain,(happens(esk2_2(X1,n1),n1)|releasedAt(X1,n1)|~releasedAt(X1,n2)),inference(spm,[status(thm)],[137,217,theory(equality)])).
% cnf(447,plain,(less(n2,n3)),inference(spm,[status(thm)],[230,306,theory(equality)])).
% cnf(448,plain,(less(n1,n2)),inference(spm,[status(thm)],[238,306,theory(equality)])).
% cnf(449,plain,(less(n0,n1)),inference(spm,[status(thm)],[212,306,theory(equality)])).
% cnf(488,plain,(happens(tapOn,n0)),inference(er,[status(thm)],[327,theory(equality)])).
% cnf(594,plain,(less_or_equal(n1,n2)),inference(spm,[status(thm)],[226,448,theory(equality)])).
% cnf(598,plain,(less_or_equal(n0,n1)),inference(spm,[status(thm)],[226,449,theory(equality)])).
% cnf(601,plain,(stoppedIn(X1,X2,plus(X1,n1))|holdsAt(X3,plus(X1,n1))|~initiates(X4,X2,X1)|~trajectory(X2,X1,X3,n1)|~happens(X4,X1)),inference(spm,[status(thm)],[205,449,theory(equality)])).
% cnf(658,plain,(less(n1,n3)),inference(spm,[status(thm)],[230,594,theory(equality)])).
% cnf(684,plain,(less(n0,n2)),inference(spm,[status(thm)],[238,598,theory(equality)])).
% cnf(742,plain,(stoppedIn(X1,X2,plus(X1,n2))|holdsAt(X3,plus(X1,n2))|~initiates(X4,X2,X1)|~trajectory(X2,X1,X3,n2)|~happens(X4,X1)),inference(spm,[status(thm)],[205,684,theory(equality)])).
% cnf(754,plain,(epred1_3(filling,tapOn,X1)),inference(er,[status(thm)],[342,theory(equality)])).
% cnf(775,plain,(X1=n0|less(X1,n0)|X1=n1|less(n1,X1)),inference(spm,[status(thm)],[227,345,theory(equality)])).
% cnf(777,plain,(X1=n0|X1=n1|less(n1,X1)),inference(sr,[status(thm)],[775,112,theory(equality)])).
% cnf(835,plain,(X1=n1|less(X1,n1)|X1=n2|less(n2,X1)),inference(spm,[status(thm)],[227,347,theory(equality)])).
% cnf(1064,plain,(X1=n1|X1=n0|~less(X1,n1)),inference(spm,[status(thm)],[171,777,theory(equality)])).
% cnf(1102,plain,(initiates(tapOn,filling,X1)),inference(spm,[status(thm)],[118,754,theory(equality)])).
% cnf(1104,plain,(holdsAt(filling,plus(X1,n1))|~happens(tapOn,X1)),inference(spm,[status(thm)],[216,1102,theory(equality)])).
% cnf(1313,plain,(holdsAt(filling,plus(n0,n1))),inference(spm,[status(thm)],[1104,488,theory(equality)])).
% cnf(1314,plain,(holdsAt(filling,n1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1313,115,theory(equality)]),317,theory(equality)])).
% cnf(1379,plain,(happens(esk3_2(filling,n1),n1)|holdsAt(filling,plus(n1,n1))|releasedAt(filling,plus(n1,n1))),inference(spm,[status(thm)],[146,1314,theory(equality)])).
% cnf(1380,plain,(terminates(esk3_2(filling,n1),filling,n1)|holdsAt(filling,plus(n1,n1))|releasedAt(filling,plus(n1,n1))),inference(spm,[status(thm)],[145,1314,theory(equality)])).
% cnf(1382,plain,(happens(esk3_2(filling,n1),n1)|holdsAt(filling,n2)|releasedAt(filling,plus(n1,n1))),inference(rw,[status(thm)],[1379,217,theory(equality)])).
% cnf(1383,plain,(happens(esk3_2(filling,n1),n1)|holdsAt(filling,n2)|releasedAt(filling,n2)),inference(rw,[status(thm)],[1382,217,theory(equality)])).
% cnf(1384,plain,(terminates(esk3_2(filling,n1),filling,n1)|holdsAt(filling,n2)|releasedAt(filling,plus(n1,n1))),inference(rw,[status(thm)],[1380,217,theory(equality)])).
% cnf(1385,plain,(terminates(esk3_2(filling,n1),filling,n1)|holdsAt(filling,n2)|releasedAt(filling,n2)),inference(rw,[status(thm)],[1384,217,theory(equality)])).
% cnf(1539,plain,(trajectory(filling,n0,waterLevel(plus(n0,X1)),X1)),inference(spm,[status(thm)],[370,76,theory(equality)])).
% cnf(2651,plain,(~initiates(X1,X2,n0)|~happens(X1,n0)|~releasedAt(X2,n1)),inference(spm,[status(thm)],[382,317,theory(equality)])).
% cnf(2913,plain,(overflow=esk3_2(filling,n1)|tapOn=esk3_2(filling,n1)|holdsAt(filling,n2)|releasedAt(filling,n2)),inference(spm,[status(thm)],[104,1383,theory(equality)])).
% cnf(2915,plain,(tapOn=esk3_2(filling,n1)|holdsAt(waterLevel(n3),n1)|holdsAt(filling,n2)|releasedAt(filling,n2)),inference(spm,[status(thm)],[106,1383,theory(equality)])).
% cnf(3085,plain,(X1=n0|X1=n1|X1=n2|less(n2,X1)),inference(spm,[status(thm)],[1064,835,theory(equality)])).
% cnf(3216,plain,(X1=n2|X1=n1|X1=n0|~less(X1,n2)),inference(spm,[status(thm)],[171,3085,theory(equality)])).
% cnf(5779,plain,(stoppedIn(n0,filling,plus(n0,n1))|holdsAt(waterLevel(plus(n0,n1)),plus(n0,n1))|~initiates(X1,filling,n0)|~happens(X1,n0)),inference(spm,[status(thm)],[601,1539,theory(equality)])).
% cnf(5782,plain,(stoppedIn(n0,filling,n1)|holdsAt(waterLevel(plus(n0,n1)),plus(n0,n1))|~initiates(X1,filling,n0)|~happens(X1,n0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[5779,115,theory(equality)]),317,theory(equality)])).
% cnf(5783,plain,(stoppedIn(n0,filling,n1)|holdsAt(waterLevel(n1),n1)|~initiates(X1,filling,n0)|~happens(X1,n0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[5782,115,theory(equality)]),317,theory(equality)]),115,theory(equality)]),317,theory(equality)])).
% cnf(6098,plain,(stoppedIn(n0,filling,plus(n0,n2))|holdsAt(waterLevel(plus(n0,n2)),plus(n0,n2))|~initiates(X1,filling,n0)|~happens(X1,n0)),inference(spm,[status(thm)],[742,1539,theory(equality)])).
% cnf(6101,plain,(stoppedIn(n0,filling,n2)|holdsAt(waterLevel(plus(n0,n2)),plus(n0,n2))|~initiates(X1,filling,n0)|~happens(X1,n0)),inference(rw,[status(thm)],[6098,162,theory(equality)])).
% cnf(6102,plain,(stoppedIn(n0,filling,n2)|holdsAt(waterLevel(n2),n2)|~initiates(X1,filling,n0)|~happens(X1,n0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[6101,162,theory(equality)]),162,theory(equality)])).
% cnf(11530,plain,(tapOff=esk3_2(filling,n1)|overflow=esk3_2(filling,n1)|holdsAt(filling,n2)|releasedAt(filling,n2)),inference(spm,[status(thm)],[180,1385,theory(equality)])).
% cnf(11700,plain,(tapOff=tapOn|tapOff=overflow|holdsAt(filling,n2)|releasedAt(filling,n2)|esk3_2(filling,n1)=overflow),inference(spm,[status(thm)],[2913,11530,theory(equality)])).
% cnf(11705,plain,(tapOff=overflow|holdsAt(filling,n2)|releasedAt(filling,n2)|esk3_2(filling,n1)=overflow),inference(sr,[status(thm)],[11700,164,theory(equality)])).
% cnf(11706,plain,(holdsAt(filling,n2)|releasedAt(filling,n2)|esk3_2(filling,n1)=overflow),inference(sr,[status(thm)],[11705,165,theory(equality)])).
% cnf(11712,plain,(overflow=tapOn|holdsAt(waterLevel(n3),n1)|holdsAt(filling,n2)|releasedAt(filling,n2)),inference(spm,[status(thm)],[2915,11706,theory(equality)])).
% cnf(11714,plain,(holdsAt(waterLevel(n3),n1)|holdsAt(filling,n2)|releasedAt(filling,n2)),inference(sr,[status(thm)],[11712,113,theory(equality)])).
% cnf(11717,plain,(happens(esk2_2(filling,n1),n1)|releasedAt(filling,n1)|holdsAt(waterLevel(n3),n1)|holdsAt(filling,n2)),inference(spm,[status(thm)],[387,11714,theory(equality)])).
% cnf(11995,plain,(~initiates(tapOn,X1,n0)|~releasedAt(X1,n1)),inference(spm,[status(thm)],[2651,488,theory(equality)])).
% cnf(13952,plain,(tapOn=esk2_2(filling,n1)|holdsAt(waterLevel(n3),n1)|holdsAt(filling,n2)|releasedAt(filling,n1)),inference(spm,[status(thm)],[106,11717,theory(equality)])).
% cnf(14268,plain,(happens(tapOn,n1)|holdsAt(waterLevel(n3),n1)|holdsAt(filling,n2)|releasedAt(filling,n1)),inference(spm,[status(thm)],[11717,13952,theory(equality)])).
% cnf(14695,plain,(happens(tapOn,n1)|holdsAt(waterLevel(n3),n1)|holdsAt(filling,n2)|~initiates(tapOn,filling,n0)),inference(spm,[status(thm)],[11995,14268,theory(equality)])).
% cnf(14702,plain,(happens(tapOn,n1)|holdsAt(waterLevel(n3),n1)|holdsAt(filling,n2)|$false),inference(rw,[status(thm)],[14695,1102,theory(equality)])).
% cnf(14703,plain,(happens(tapOn,n1)|holdsAt(waterLevel(n3),n1)|holdsAt(filling,n2)),inference(cn,[status(thm)],[14702,theory(equality)])).
% cnf(14710,plain,(holdsAt(filling,plus(n1,n1))|holdsAt(waterLevel(n3),n1)|holdsAt(filling,n2)),inference(spm,[status(thm)],[1104,14703,theory(equality)])).
% cnf(14715,plain,(holdsAt(filling,n2)|holdsAt(waterLevel(n3),n1)|holdsAt(filling,n2)),inference(rw,[status(thm)],[14710,217,theory(equality)])).
% cnf(14716,plain,(holdsAt(filling,n2)|holdsAt(waterLevel(n3),n1)),inference(cn,[status(thm)],[14715,theory(equality)])).
% cnf(14724,plain,(X1=n3|holdsAt(filling,n2)|~holdsAt(waterLevel(X1),n1)),inference(spm,[status(thm)],[88,14716,theory(equality)])).
% cnf(15395,plain,(stoppedIn(n0,filling,n1)|holdsAt(waterLevel(n1),n1)|~initiates(tapOn,filling,n0)),inference(spm,[status(thm)],[5783,488,theory(equality)])).
% cnf(15396,plain,(stoppedIn(n0,filling,n1)|holdsAt(waterLevel(n1),n1)|$false),inference(rw,[status(thm)],[15395,1102,theory(equality)])).
% cnf(15397,plain,(stoppedIn(n0,filling,n1)|holdsAt(waterLevel(n1),n1)),inference(cn,[status(thm)],[15396,theory(equality)])).
% cnf(15407,plain,(less(n0,esk7_3(n0,filling,n1))|holdsAt(waterLevel(n1),n1)),inference(spm,[status(thm)],[190,15397,theory(equality)])).
% cnf(15408,plain,(less(esk7_3(n0,filling,n1),n1)|holdsAt(waterLevel(n1),n1)),inference(spm,[status(thm)],[189,15397,theory(equality)])).
% cnf(15424,plain,(less_or_equal(esk7_3(n0,filling,n1),n0)|holdsAt(waterLevel(n1),n1)),inference(spm,[status(thm)],[213,15408,theory(equality)])).
% cnf(15439,plain,(esk7_3(n0,filling,n1)=n0|less(esk7_3(n0,filling,n1),n0)|holdsAt(waterLevel(n1),n1)),inference(spm,[status(thm)],[227,15424,theory(equality)])).
% cnf(15441,plain,(esk7_3(n0,filling,n1)=n0|holdsAt(waterLevel(n1),n1)),inference(sr,[status(thm)],[15439,112,theory(equality)])).
% cnf(15444,plain,(less(n0,n0)|holdsAt(waterLevel(n1),n1)),inference(spm,[status(thm)],[15407,15441,theory(equality)])).
% cnf(15449,plain,(holdsAt(waterLevel(n1),n1)),inference(sr,[status(thm)],[15444,112,theory(equality)])).
% cnf(15458,plain,(X1=n1|~holdsAt(waterLevel(X1),n1)),inference(spm,[status(thm)],[88,15449,theory(equality)])).
% cnf(15467,plain,(n1=n3|holdsAt(filling,n2)),inference(spm,[status(thm)],[14724,15449,theory(equality)])).
% cnf(15483,plain,(happens(esk3_2(filling,n2),n2)|holdsAt(filling,plus(n2,n1))|releasedAt(filling,plus(n2,n1))|n3=n1),inference(spm,[status(thm)],[146,15467,theory(equality)])).
% cnf(15590,plain,(stoppedIn(n0,filling,n2)|holdsAt(waterLevel(n2),n2)|~initiates(tapOn,filling,n0)),inference(spm,[status(thm)],[6102,488,theory(equality)])).
% cnf(15591,plain,(stoppedIn(n0,filling,n2)|holdsAt(waterLevel(n2),n2)|$false),inference(rw,[status(thm)],[15590,1102,theory(equality)])).
% cnf(15592,plain,(stoppedIn(n0,filling,n2)|holdsAt(waterLevel(n2),n2)),inference(cn,[status(thm)],[15591,theory(equality)])).
% cnf(15611,plain,(less(n0,esk7_3(n0,filling,n2))|holdsAt(waterLevel(n2),n2)),inference(spm,[status(thm)],[190,15592,theory(equality)])).
% cnf(15612,plain,(less(esk7_3(n0,filling,n2),n2)|holdsAt(waterLevel(n2),n2)),inference(spm,[status(thm)],[189,15592,theory(equality)])).
% cnf(15613,plain,(happens(esk6_3(n0,filling,n2),esk7_3(n0,filling,n2))|holdsAt(waterLevel(n2),n2)),inference(spm,[status(thm)],[191,15592,theory(equality)])).
% cnf(15614,plain,(terminates(esk6_3(n0,filling,n2),filling,esk7_3(n0,filling,n2))|holdsAt(waterLevel(n2),n2)),inference(spm,[status(thm)],[188,15592,theory(equality)])).
% cnf(16160,plain,(esk7_3(n0,filling,n2)=n0|esk7_3(n0,filling,n2)=n1|esk7_3(n0,filling,n2)=n2|holdsAt(waterLevel(n2),n2)),inference(spm,[status(thm)],[3216,15612,theory(equality)])).
% cnf(33955,plain,(overflow=esk6_3(n0,filling,n2)|tapOn=esk6_3(n0,filling,n2)|holdsAt(waterLevel(n2),n2)),inference(spm,[status(thm)],[104,15613,theory(equality)])).
% cnf(34649,plain,(happens(esk3_2(filling,n2),n2)|holdsAt(filling,n3)|releasedAt(filling,plus(n2,n1))|n3=n1),inference(rw,[status(thm)],[inference(rw,[status(thm)],[15483,115,theory(equality)]),181,theory(equality)])).
% cnf(34650,plain,(happens(esk3_2(filling,n2),n2)|holdsAt(filling,n3)|releasedAt(filling,n3)|n3=n1),inference(rw,[status(thm)],[inference(rw,[status(thm)],[34649,115,theory(equality)]),181,theory(equality)])).
% cnf(34651,plain,(happens(esk3_2(filling,n2),n2)|releasedAt(filling,n3)|n3=n1),inference(sr,[status(thm)],[34650,260,theory(equality)])).
% cnf(34652,plain,(happens(esk3_2(filling,n2),n2)|n3=n1),inference(sr,[status(thm)],[34651,75,theory(equality)])).
% cnf(34656,plain,(tapOn=esk3_2(filling,n2)|holdsAt(waterLevel(n3),n2)|n3=n1),inference(spm,[status(thm)],[106,34652,theory(equality)])).
% cnf(34762,plain,(n3=n1|happens(tapOn,n2)|holdsAt(waterLevel(n3),n2)),inference(spm,[status(thm)],[34652,34656,theory(equality)])).
% cnf(34782,plain,(holdsAt(filling,plus(n2,n1))|n3=n1|holdsAt(waterLevel(n3),n2)),inference(spm,[status(thm)],[1104,34762,theory(equality)])).
% cnf(34808,plain,(holdsAt(filling,n3)|n3=n1|holdsAt(waterLevel(n3),n2)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[34782,115,theory(equality)]),181,theory(equality)])).
% cnf(34809,plain,(n3=n1|holdsAt(waterLevel(n3),n2)),inference(sr,[status(thm)],[34808,260,theory(equality)])).
% cnf(34820,plain,(X1=n3|n3=n1|~holdsAt(waterLevel(X1),n2)),inference(spm,[status(thm)],[88,34809,theory(equality)])).
% cnf(36136,plain,(tapOff=esk6_3(n0,filling,n2)|overflow=esk6_3(n0,filling,n2)|holdsAt(waterLevel(n2),n2)),inference(spm,[status(thm)],[180,15614,theory(equality)])).
% cnf(37905,plain,(tapOff=tapOn|tapOff=overflow|holdsAt(waterLevel(n2),n2)|esk6_3(n0,filling,n2)=overflow),inference(spm,[status(thm)],[33955,36136,theory(equality)])).
% cnf(37911,plain,(tapOff=overflow|holdsAt(waterLevel(n2),n2)|esk6_3(n0,filling,n2)=overflow),inference(sr,[status(thm)],[37905,164,theory(equality)])).
% cnf(37912,plain,(holdsAt(waterLevel(n2),n2)|esk6_3(n0,filling,n2)=overflow),inference(sr,[status(thm)],[37911,165,theory(equality)])).
% cnf(37914,plain,(happens(overflow,esk7_3(n0,filling,n2))|holdsAt(waterLevel(n2),n2)),inference(spm,[status(thm)],[15613,37912,theory(equality)])).
% cnf(37925,plain,(tapOn=overflow|holdsAt(waterLevel(n3),esk7_3(n0,filling,n2))|holdsAt(waterLevel(n2),n2)),inference(spm,[status(thm)],[106,37914,theory(equality)])).
% cnf(37933,plain,(holdsAt(waterLevel(n3),esk7_3(n0,filling,n2))|holdsAt(waterLevel(n2),n2)),inference(sr,[status(thm)],[37925,113,theory(equality)])).
% cnf(44271,plain,(less(n2,n2)|holdsAt(waterLevel(n2),n2)|esk7_3(n0,filling,n2)=n1|esk7_3(n0,filling,n2)=n0),inference(spm,[status(thm)],[15612,16160,theory(equality)])).
% cnf(44379,plain,(holdsAt(waterLevel(n2),n2)|esk7_3(n0,filling,n2)=n1|esk7_3(n0,filling,n2)=n0),inference(sr,[status(thm)],[44271,307,theory(equality)])).
% cnf(53270,plain,(less(n0,n0)|holdsAt(waterLevel(n2),n2)|esk7_3(n0,filling,n2)=n1),inference(spm,[status(thm)],[15611,44379,theory(equality)])).
% cnf(53390,plain,(holdsAt(waterLevel(n2),n2)|esk7_3(n0,filling,n2)=n1),inference(sr,[status(thm)],[53270,112,theory(equality)])).
% cnf(53537,plain,(holdsAt(waterLevel(n3),n1)|holdsAt(waterLevel(n2),n2)),inference(spm,[status(thm)],[37933,53390,theory(equality)])).
% cnf(53737,plain,(n3=n1|n2=n3|holdsAt(waterLevel(n3),n1)),inference(spm,[status(thm)],[34820,53537,theory(equality)])).
% cnf(53743,plain,(n3=n1|n2=n3),inference(csr,[status(thm)],[53737,15458])).
% cnf(53763,plain,(less(n3,n3)|n3=n1),inference(spm,[status(thm)],[447,53743,theory(equality)])).
% cnf(54358,plain,(n3=n1),inference(sr,[status(thm)],[53763,307,theory(equality)])).
% cnf(57423,plain,(less(n1,n1)),inference(rw,[status(thm)],[658,54358,theory(equality)])).
% cnf(57424,plain,($false),inference(sr,[status(thm)],[57423,307,theory(equality)])).
% cnf(57425,plain,($false),57424,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 8257
% # ...of these trivial                : 54
% # ...subsumed                        : 4816
% # ...remaining for further processing: 3387
% # Other redundant clauses eliminated : 2
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 336
% # Backward-rewritten                 : 1871
% # Generated clauses                  : 33892
% # ...of the previous two non-trivial : 25670
% # Contextual simplify-reflections    : 2715
% # Paramodulations                    : 33774
% # Factorizations                     : 73
% # Equation resolutions               : 45
% # Current number of processed clauses: 1178
% #    Positive orientable unit clauses: 114
% #    Positive unorientable unit clauses: 1
% #    Negative unit clauses           : 44
% #    Non-unit-clauses                : 1019
% # Current number of unprocessed clauses: 2067
% # ...number of literals in the above : 7708
% # Clause-clause subsumption calls (NU) : 179424
% # Rec. Clause-clause subsumption calls : 82431
% # Unit Clause-clause subsumption calls : 999
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 123
% # Indexed BW rewrite successes       : 43
% # Backwards rewriting index:   717 leaves,   1.66+/-1.954 terms/leaf
% # Paramod-from index:          376 leaves,   1.67+/-1.897 terms/leaf
% # Paramod-into index:          562 leaves,   1.62+/-1.766 terms/leaf
% # -------------------------------------------------
% # User time              : 2.453 s
% # System time            : 0.053 s
% # Total time             : 2.506 s
% # Maximum resident set size: 0 pages
% PrfWatch: 3.35 CPU 3.47 WC
% FINAL PrfWatch: 3.35 CPU 3.47 WC
% SZS output end Solution for /tmp/SystemOnTPTP22423/CSR005+2.tptp
% 
%------------------------------------------------------------------------------