%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SWV492+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : art02.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 : Thu Dec 30 09:14:33 EST 2010

% Result   : Theorem 50.80s
% Output   : Solution 50.80s
% 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/SystemOnTPTP7137/SWV492+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP7137/SWV492+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP7137/SWV492+1.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 7233
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.91 CPU 4.01 WC
% PrfWatch: 5.91 CPU 6.02 WC
% PrfWatch: 7.90 CPU 8.02 WC
% PrfWatch: 9.89 CPU 10.03 WC
% PrfWatch: 11.88 CPU 12.03 WC
% PrfWatch: 13.86 CPU 14.04 WC
% PrfWatch: 15.85 CPU 16.04 WC
% PrfWatch: 17.84 CPU 18.05 WC
% PrfWatch: 19.83 CPU 20.05 WC
% PrfWatch: 21.82 CPU 22.06 WC
% PrfWatch: 23.80 CPU 24.06 WC
% PrfWatch: 25.79 CPU 26.07 WC
% PrfWatch: 27.78 CPU 28.07 WC
% PrfWatch: 29.76 CPU 30.08 WC
% PrfWatch: 31.74 CPU 32.08 WC
% PrfWatch: 33.73 CPU 34.09 WC
% # Preprocessing time     : 0.013 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 35.72 CPU 36.09 WC
% PrfWatch: 37.72 CPU 38.09 WC
% PrfWatch: 39.71 CPU 40.10 WC
% PrfWatch: 41.70 CPU 42.10 WC
% PrfWatch: 43.70 CPU 44.11 WC
% PrfWatch: 45.69 CPU 46.11 WC
% PrfWatch: 47.69 CPU 48.12 WC
% PrfWatch: 49.68 CPU 50.12 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:(int_leq(X1,X2)<=>(int_less(X1,X2)|X1=X2)),file('/tmp/SRASS.s.p', int_leq)).
% fof(2, axiom,![X1]:![X2]:![X3]:((int_less(X1,X2)&int_less(X2,X3))=>int_less(X1,X3)),file('/tmp/SRASS.s.p', int_less_transitive)).
% fof(3, axiom,![X1]:![X2]:(int_less(X1,X2)=>~(X1=X2)),file('/tmp/SRASS.s.p', int_less_irreflexive)).
% fof(4, axiom,![X1]:![X2]:(int_less(X1,X2)|int_leq(X2,X1)),file('/tmp/SRASS.s.p', int_less_total)).
% fof(5, axiom,int_less(int_zero,int_one),file('/tmp/SRASS.s.p', int_zero_one)).
% fof(6, axiom,![X1]:![X2]:plus(X1,X2)=plus(X2,X1),file('/tmp/SRASS.s.p', plus_commutative)).
% fof(7, axiom,![X1]:plus(X1,int_zero)=X1,file('/tmp/SRASS.s.p', plus_zero)).
% fof(8, axiom,![X4]:![X5]:![X6]:![X7]:((int_less(X4,X5)&int_leq(X6,X7))=>int_leq(plus(X4,X6),plus(X5,X7))),file('/tmp/SRASS.s.p', plus_and_order1)).
% fof(9, axiom,![X1]:![X2]:(int_less(X1,X2)<=>?[X3]:(plus(X1,X3)=X2&int_less(int_zero,X3))),file('/tmp/SRASS.s.p', plus_and_inverse)).
% fof(10, axiom,![X1]:(int_less(int_zero,X1)<=>int_leq(int_one,X1)),file('/tmp/SRASS.s.p', one_successor_of_zero)).
% fof(11, axiom,~(real_zero=real_one),file('/tmp/SRASS.s.p', real_constants)).
% fof(12, axiom,![X1]:![X2]:((((int_leq(int_one,X1)&int_leq(X1,n))&int_leq(int_one,X2))&int_leq(X2,n))=>((![X8]:((int_less(int_zero,X8)&X1=plus(X2,X8))=>![X3]:((int_leq(int_one,X3)&int_leq(X3,X2))=>a(plus(X3,X8),X3)=qr(plus(X3,X8),X3)))&![X3]:((int_leq(int_one,X3)&int_leq(X3,X2))=>a(X3,X3)=real_one))&![X8]:((int_less(int_zero,X8)&X2=plus(X1,X8))=>![X3]:((int_leq(int_one,X3)&int_leq(X3,X1))=>a(X3,plus(X3,X8))=real_zero)))),file('/tmp/SRASS.s.p', qih)).
% fof(13, conjecture,(![X1]:![X2]:(((int_leq(int_one,X1)&int_less(X1,X2))&int_leq(X2,n))=>a(X1,X2)=real_zero)&![X1]:![X2]:(((int_leq(int_one,X1)&int_leq(X2,n))&X1=X2)=>~(a(X1,X2)=real_zero))),file('/tmp/SRASS.s.p', lti)).
% fof(14, negated_conjecture,~((![X1]:![X2]:(((int_leq(int_one,X1)&int_less(X1,X2))&int_leq(X2,n))=>a(X1,X2)=real_zero)&![X1]:![X2]:(((int_leq(int_one,X1)&int_leq(X2,n))&X1=X2)=>~(a(X1,X2)=real_zero)))),inference(assume_negation,[status(cth)],[13])).
% fof(15, plain,![X2]:![X1]:(epred1_2(X1,X2)=>((![X8]:((int_less(int_zero,X8)&X1=plus(X2,X8))=>![X3]:((int_leq(int_one,X3)&int_leq(X3,X2))=>a(plus(X3,X8),X3)=qr(plus(X3,X8),X3)))&![X3]:((int_leq(int_one,X3)&int_leq(X3,X2))=>a(X3,X3)=real_one))&![X8]:((int_less(int_zero,X8)&X2=plus(X1,X8))=>![X3]:((int_leq(int_one,X3)&int_leq(X3,X1))=>a(X3,plus(X3,X8))=real_zero)))),introduced(definition)).
% fof(16, plain,![X1]:![X2]:((((int_leq(int_one,X1)&int_leq(X1,n))&int_leq(int_one,X2))&int_leq(X2,n))=>epred1_2(X1,X2)),inference(apply_def,[status(esa)],[12,15,theory(equality)])).
% fof(17, plain,![X1]:![X2]:((~(int_leq(X1,X2))|(int_less(X1,X2)|X1=X2))&((~(int_less(X1,X2))&~(X1=X2))|int_leq(X1,X2))),inference(fof_nnf,[status(thm)],[1])).
% fof(18, plain,![X3]:![X4]:((~(int_leq(X3,X4))|(int_less(X3,X4)|X3=X4))&((~(int_less(X3,X4))&~(X3=X4))|int_leq(X3,X4))),inference(variable_rename,[status(thm)],[17])).
% fof(19, plain,![X3]:![X4]:((~(int_leq(X3,X4))|(int_less(X3,X4)|X3=X4))&((~(int_less(X3,X4))|int_leq(X3,X4))&(~(X3=X4)|int_leq(X3,X4)))),inference(distribute,[status(thm)],[18])).
% cnf(20,plain,(int_leq(X1,X2)|X1!=X2),inference(split_conjunct,[status(thm)],[19])).
% cnf(21,plain,(int_leq(X1,X2)|~int_less(X1,X2)),inference(split_conjunct,[status(thm)],[19])).
% cnf(22,plain,(X1=X2|int_less(X1,X2)|~int_leq(X1,X2)),inference(split_conjunct,[status(thm)],[19])).
% fof(23, plain,![X1]:![X2]:![X3]:((~(int_less(X1,X2))|~(int_less(X2,X3)))|int_less(X1,X3)),inference(fof_nnf,[status(thm)],[2])).
% fof(24, plain,![X4]:![X5]:![X6]:((~(int_less(X4,X5))|~(int_less(X5,X6)))|int_less(X4,X6)),inference(variable_rename,[status(thm)],[23])).
% cnf(25,plain,(int_less(X1,X2)|~int_less(X3,X2)|~int_less(X1,X3)),inference(split_conjunct,[status(thm)],[24])).
% fof(26, plain,![X1]:![X2]:(~(int_less(X1,X2))|~(X1=X2)),inference(fof_nnf,[status(thm)],[3])).
% fof(27, plain,![X3]:![X4]:(~(int_less(X3,X4))|~(X3=X4)),inference(variable_rename,[status(thm)],[26])).
% cnf(28,plain,(X1!=X2|~int_less(X1,X2)),inference(split_conjunct,[status(thm)],[27])).
% fof(29, plain,![X3]:![X4]:(int_less(X3,X4)|int_leq(X4,X3)),inference(variable_rename,[status(thm)],[4])).
% cnf(30,plain,(int_leq(X1,X2)|int_less(X2,X1)),inference(split_conjunct,[status(thm)],[29])).
% cnf(31,plain,(int_less(int_zero,int_one)),inference(split_conjunct,[status(thm)],[5])).
% fof(32, plain,![X3]:![X4]:plus(X3,X4)=plus(X4,X3),inference(variable_rename,[status(thm)],[6])).
% cnf(33,plain,(plus(X1,X2)=plus(X2,X1)),inference(split_conjunct,[status(thm)],[32])).
% fof(34, plain,![X2]:plus(X2,int_zero)=X2,inference(variable_rename,[status(thm)],[7])).
% cnf(35,plain,(plus(X1,int_zero)=X1),inference(split_conjunct,[status(thm)],[34])).
% fof(36, plain,![X4]:![X5]:![X6]:![X7]:((~(int_less(X4,X5))|~(int_leq(X6,X7)))|int_leq(plus(X4,X6),plus(X5,X7))),inference(fof_nnf,[status(thm)],[8])).
% fof(37, plain,![X8]:![X9]:![X10]:![X11]:((~(int_less(X8,X9))|~(int_leq(X10,X11)))|int_leq(plus(X8,X10),plus(X9,X11))),inference(variable_rename,[status(thm)],[36])).
% cnf(38,plain,(int_leq(plus(X1,X2),plus(X3,X4))|~int_leq(X2,X4)|~int_less(X1,X3)),inference(split_conjunct,[status(thm)],[37])).
% fof(39, plain,![X1]:![X2]:((~(int_less(X1,X2))|?[X3]:(plus(X1,X3)=X2&int_less(int_zero,X3)))&(![X3]:(~(plus(X1,X3)=X2)|~(int_less(int_zero,X3)))|int_less(X1,X2))),inference(fof_nnf,[status(thm)],[9])).
% fof(40, plain,![X4]:![X5]:((~(int_less(X4,X5))|?[X6]:(plus(X4,X6)=X5&int_less(int_zero,X6)))&(![X7]:(~(plus(X4,X7)=X5)|~(int_less(int_zero,X7)))|int_less(X4,X5))),inference(variable_rename,[status(thm)],[39])).
% fof(41, plain,![X4]:![X5]:((~(int_less(X4,X5))|(plus(X4,esk1_2(X4,X5))=X5&int_less(int_zero,esk1_2(X4,X5))))&(![X7]:(~(plus(X4,X7)=X5)|~(int_less(int_zero,X7)))|int_less(X4,X5))),inference(skolemize,[status(esa)],[40])).
% fof(42, plain,![X4]:![X5]:![X7]:(((~(plus(X4,X7)=X5)|~(int_less(int_zero,X7)))|int_less(X4,X5))&(~(int_less(X4,X5))|(plus(X4,esk1_2(X4,X5))=X5&int_less(int_zero,esk1_2(X4,X5))))),inference(shift_quantors,[status(thm)],[41])).
% fof(43, plain,![X4]:![X5]:![X7]:(((~(plus(X4,X7)=X5)|~(int_less(int_zero,X7)))|int_less(X4,X5))&((plus(X4,esk1_2(X4,X5))=X5|~(int_less(X4,X5)))&(int_less(int_zero,esk1_2(X4,X5))|~(int_less(X4,X5))))),inference(distribute,[status(thm)],[42])).
% cnf(44,plain,(int_less(int_zero,esk1_2(X1,X2))|~int_less(X1,X2)),inference(split_conjunct,[status(thm)],[43])).
% cnf(45,plain,(plus(X1,esk1_2(X1,X2))=X2|~int_less(X1,X2)),inference(split_conjunct,[status(thm)],[43])).
% cnf(46,plain,(int_less(X1,X2)|~int_less(int_zero,X3)|plus(X1,X3)!=X2),inference(split_conjunct,[status(thm)],[43])).
% fof(47, plain,![X1]:((~(int_less(int_zero,X1))|int_leq(int_one,X1))&(~(int_leq(int_one,X1))|int_less(int_zero,X1))),inference(fof_nnf,[status(thm)],[10])).
% fof(48, plain,![X2]:((~(int_less(int_zero,X2))|int_leq(int_one,X2))&(~(int_leq(int_one,X2))|int_less(int_zero,X2))),inference(variable_rename,[status(thm)],[47])).
% cnf(49,plain,(int_less(int_zero,X1)|~int_leq(int_one,X1)),inference(split_conjunct,[status(thm)],[48])).
% cnf(50,plain,(int_leq(int_one,X1)|~int_less(int_zero,X1)),inference(split_conjunct,[status(thm)],[48])).
% cnf(51,plain,(real_zero!=real_one),inference(split_conjunct,[status(thm)],[11])).
% fof(52, plain,![X1]:![X2]:((((~(int_leq(int_one,X1))|~(int_leq(X1,n)))|~(int_leq(int_one,X2)))|~(int_leq(X2,n)))|epred1_2(X1,X2)),inference(fof_nnf,[status(thm)],[16])).
% fof(53, plain,![X3]:![X4]:((((~(int_leq(int_one,X3))|~(int_leq(X3,n)))|~(int_leq(int_one,X4)))|~(int_leq(X4,n)))|epred1_2(X3,X4)),inference(variable_rename,[status(thm)],[52])).
% cnf(54,plain,(epred1_2(X1,X2)|~int_leq(X2,n)|~int_leq(int_one,X2)|~int_leq(X1,n)|~int_leq(int_one,X1)),inference(split_conjunct,[status(thm)],[53])).
% fof(55, negated_conjecture,(?[X1]:?[X2]:(((int_leq(int_one,X1)&int_less(X1,X2))&int_leq(X2,n))&~(a(X1,X2)=real_zero))|?[X1]:?[X2]:(((int_leq(int_one,X1)&int_leq(X2,n))&X1=X2)&a(X1,X2)=real_zero)),inference(fof_nnf,[status(thm)],[14])).
% fof(56, negated_conjecture,(?[X3]:?[X4]:(((int_leq(int_one,X3)&int_less(X3,X4))&int_leq(X4,n))&~(a(X3,X4)=real_zero))|?[X5]:?[X6]:(((int_leq(int_one,X5)&int_leq(X6,n))&X5=X6)&a(X5,X6)=real_zero)),inference(variable_rename,[status(thm)],[55])).
% fof(57, negated_conjecture,((((int_leq(int_one,esk2_0)&int_less(esk2_0,esk3_0))&int_leq(esk3_0,n))&~(a(esk2_0,esk3_0)=real_zero))|(((int_leq(int_one,esk4_0)&int_leq(esk5_0,n))&esk4_0=esk5_0)&a(esk4_0,esk5_0)=real_zero)),inference(skolemize,[status(esa)],[56])).
% fof(58, negated_conjecture,(((((((int_leq(int_one,esk4_0)|int_leq(int_one,esk2_0))&(int_leq(esk5_0,n)|int_leq(int_one,esk2_0)))&(esk4_0=esk5_0|int_leq(int_one,esk2_0)))&(a(esk4_0,esk5_0)=real_zero|int_leq(int_one,esk2_0)))&((((int_leq(int_one,esk4_0)|int_less(esk2_0,esk3_0))&(int_leq(esk5_0,n)|int_less(esk2_0,esk3_0)))&(esk4_0=esk5_0|int_less(esk2_0,esk3_0)))&(a(esk4_0,esk5_0)=real_zero|int_less(esk2_0,esk3_0))))&((((int_leq(int_one,esk4_0)|int_leq(esk3_0,n))&(int_leq(esk5_0,n)|int_leq(esk3_0,n)))&(esk4_0=esk5_0|int_leq(esk3_0,n)))&(a(esk4_0,esk5_0)=real_zero|int_leq(esk3_0,n))))&((((int_leq(int_one,esk4_0)|~(a(esk2_0,esk3_0)=real_zero))&(int_leq(esk5_0,n)|~(a(esk2_0,esk3_0)=real_zero)))&(esk4_0=esk5_0|~(a(esk2_0,esk3_0)=real_zero)))&(a(esk4_0,esk5_0)=real_zero|~(a(esk2_0,esk3_0)=real_zero)))),inference(distribute,[status(thm)],[57])).
% cnf(59,negated_conjecture,(a(esk4_0,esk5_0)=real_zero|a(esk2_0,esk3_0)!=real_zero),inference(split_conjunct,[status(thm)],[58])).
% cnf(60,negated_conjecture,(esk4_0=esk5_0|a(esk2_0,esk3_0)!=real_zero),inference(split_conjunct,[status(thm)],[58])).
% cnf(61,negated_conjecture,(int_leq(esk5_0,n)|a(esk2_0,esk3_0)!=real_zero),inference(split_conjunct,[status(thm)],[58])).
% cnf(62,negated_conjecture,(int_leq(int_one,esk4_0)|a(esk2_0,esk3_0)!=real_zero),inference(split_conjunct,[status(thm)],[58])).
% cnf(63,negated_conjecture,(int_leq(esk3_0,n)|a(esk4_0,esk5_0)=real_zero),inference(split_conjunct,[status(thm)],[58])).
% cnf(64,negated_conjecture,(int_leq(esk3_0,n)|esk4_0=esk5_0),inference(split_conjunct,[status(thm)],[58])).
% cnf(65,negated_conjecture,(int_leq(esk3_0,n)|int_leq(esk5_0,n)),inference(split_conjunct,[status(thm)],[58])).
% cnf(66,negated_conjecture,(int_leq(esk3_0,n)|int_leq(int_one,esk4_0)),inference(split_conjunct,[status(thm)],[58])).
% cnf(67,negated_conjecture,(int_less(esk2_0,esk3_0)|a(esk4_0,esk5_0)=real_zero),inference(split_conjunct,[status(thm)],[58])).
% cnf(68,negated_conjecture,(int_less(esk2_0,esk3_0)|esk4_0=esk5_0),inference(split_conjunct,[status(thm)],[58])).
% cnf(69,negated_conjecture,(int_less(esk2_0,esk3_0)|int_leq(esk5_0,n)),inference(split_conjunct,[status(thm)],[58])).
% cnf(70,negated_conjecture,(int_less(esk2_0,esk3_0)|int_leq(int_one,esk4_0)),inference(split_conjunct,[status(thm)],[58])).
% cnf(71,negated_conjecture,(int_leq(int_one,esk2_0)|a(esk4_0,esk5_0)=real_zero),inference(split_conjunct,[status(thm)],[58])).
% cnf(72,negated_conjecture,(int_leq(int_one,esk2_0)|esk4_0=esk5_0),inference(split_conjunct,[status(thm)],[58])).
% cnf(73,negated_conjecture,(int_leq(int_one,esk2_0)|int_leq(esk5_0,n)),inference(split_conjunct,[status(thm)],[58])).
% cnf(74,negated_conjecture,(int_leq(int_one,esk2_0)|int_leq(int_one,esk4_0)),inference(split_conjunct,[status(thm)],[58])).
% fof(75, plain,![X2]:![X1]:(~(epred1_2(X1,X2))|((![X8]:((~(int_less(int_zero,X8))|~(X1=plus(X2,X8)))|![X3]:((~(int_leq(int_one,X3))|~(int_leq(X3,X2)))|a(plus(X3,X8),X3)=qr(plus(X3,X8),X3)))&![X3]:((~(int_leq(int_one,X3))|~(int_leq(X3,X2)))|a(X3,X3)=real_one))&![X8]:((~(int_less(int_zero,X8))|~(X2=plus(X1,X8)))|![X3]:((~(int_leq(int_one,X3))|~(int_leq(X3,X1)))|a(X3,plus(X3,X8))=real_zero)))),inference(fof_nnf,[status(thm)],[15])).
% fof(76, plain,![X9]:![X10]:(~(epred1_2(X10,X9))|((![X11]:((~(int_less(int_zero,X11))|~(X10=plus(X9,X11)))|![X12]:((~(int_leq(int_one,X12))|~(int_leq(X12,X9)))|a(plus(X12,X11),X12)=qr(plus(X12,X11),X12)))&![X13]:((~(int_leq(int_one,X13))|~(int_leq(X13,X9)))|a(X13,X13)=real_one))&![X14]:((~(int_less(int_zero,X14))|~(X9=plus(X10,X14)))|![X15]:((~(int_leq(int_one,X15))|~(int_leq(X15,X10)))|a(X15,plus(X15,X14))=real_zero)))),inference(variable_rename,[status(thm)],[75])).
% fof(77, plain,![X9]:![X10]:![X11]:![X12]:![X13]:![X14]:![X15]:(((((~(int_leq(int_one,X15))|~(int_leq(X15,X10)))|a(X15,plus(X15,X14))=real_zero)|(~(int_less(int_zero,X14))|~(X9=plus(X10,X14))))&(((~(int_leq(int_one,X13))|~(int_leq(X13,X9)))|a(X13,X13)=real_one)&(((~(int_leq(int_one,X12))|~(int_leq(X12,X9)))|a(plus(X12,X11),X12)=qr(plus(X12,X11),X12))|(~(int_less(int_zero,X11))|~(X10=plus(X9,X11))))))|~(epred1_2(X10,X9))),inference(shift_quantors,[status(thm)],[76])).
% fof(78, plain,![X9]:![X10]:![X11]:![X12]:![X13]:![X14]:![X15]:(((((~(int_leq(int_one,X15))|~(int_leq(X15,X10)))|a(X15,plus(X15,X14))=real_zero)|(~(int_less(int_zero,X14))|~(X9=plus(X10,X14))))|~(epred1_2(X10,X9)))&((((~(int_leq(int_one,X13))|~(int_leq(X13,X9)))|a(X13,X13)=real_one)|~(epred1_2(X10,X9)))&((((~(int_leq(int_one,X12))|~(int_leq(X12,X9)))|a(plus(X12,X11),X12)=qr(plus(X12,X11),X12))|(~(int_less(int_zero,X11))|~(X10=plus(X9,X11))))|~(epred1_2(X10,X9))))),inference(distribute,[status(thm)],[77])).
% cnf(80,plain,(a(X3,X3)=real_one|~epred1_2(X1,X2)|~int_leq(X3,X2)|~int_leq(int_one,X3)),inference(split_conjunct,[status(thm)],[78])).
% cnf(81,plain,(a(X4,plus(X4,X3))=real_zero|~epred1_2(X1,X2)|X2!=plus(X1,X3)|~int_less(int_zero,X3)|~int_leq(X4,X1)|~int_leq(int_one,X4)),inference(split_conjunct,[status(thm)],[78])).
% cnf(82,plain,(~int_less(X1,X1)),inference(er,[status(thm)],[28,theory(equality)])).
% cnf(83,plain,(int_leq(X1,X1)),inference(er,[status(thm)],[20,theory(equality)])).
% cnf(88,negated_conjecture,(int_leq(esk2_0,esk3_0)|esk4_0=esk5_0),inference(spm,[status(thm)],[21,68,theory(equality)])).
% cnf(92,plain,(int_leq(int_zero,X1)|~int_leq(int_one,X1)),inference(spm,[status(thm)],[21,49,theory(equality)])).
% cnf(93,plain,(int_leq(int_one,X1)|int_leq(X1,int_zero)),inference(spm,[status(thm)],[50,30,theory(equality)])).
% cnf(99,negated_conjecture,(int_less(X1,esk3_0)|esk4_0=esk5_0|~int_less(X1,esk2_0)),inference(spm,[status(thm)],[25,68,theory(equality)])).
% cnf(100,negated_conjecture,(int_less(X1,esk3_0)|int_leq(int_one,esk4_0)|~int_less(X1,esk2_0)),inference(spm,[status(thm)],[25,70,theory(equality)])).
% cnf(101,negated_conjecture,(int_less(X1,esk3_0)|int_leq(esk5_0,n)|~int_less(X1,esk2_0)),inference(spm,[status(thm)],[25,69,theory(equality)])).
% cnf(104,plain,(int_less(X1,X2)|int_leq(X2,X3)|~int_less(X1,X3)),inference(spm,[status(thm)],[25,30,theory(equality)])).
% cnf(105,plain,(int_less(X1,X2)|X3=X2|~int_less(X1,X3)|~int_leq(X3,X2)),inference(spm,[status(thm)],[25,22,theory(equality)])).
% cnf(106,plain,(plus(int_zero,X1)=X1),inference(spm,[status(thm)],[35,33,theory(equality)])).
% cnf(110,plain,(int_leq(int_one,esk1_2(X1,X2))|~int_less(X1,X2)),inference(spm,[status(thm)],[50,44,theory(equality)])).
% cnf(111,plain,(int_less(X1,plus(X1,X2))|~int_less(int_zero,X2)),inference(er,[status(thm)],[46,theory(equality)])).
% cnf(119,plain,(a(X1,X1)=real_one|~int_leq(int_one,X1)|~int_leq(X1,X3)|~int_leq(X3,n)|~int_leq(X2,n)|~int_leq(int_one,X3)|~int_leq(int_one,X2)),inference(spm,[status(thm)],[80,54,theory(equality)])).
% cnf(120,plain,(int_leq(plus(X1,X2),X4)|~int_less(X1,X3)|~int_leq(X2,esk1_2(X3,X4))|~int_less(X3,X4)),inference(spm,[status(thm)],[38,45,theory(equality)])).
% cnf(121,plain,(int_leq(plus(X1,X2),X3)|~int_less(X1,X3)|~int_leq(X2,int_zero)),inference(spm,[status(thm)],[38,35,theory(equality)])).
% cnf(122,plain,(int_leq(plus(X1,X2),plus(X4,X3))|~int_less(X1,X3)|~int_leq(X2,X4)),inference(spm,[status(thm)],[38,33,theory(equality)])).
% cnf(125,plain,(int_leq(X1,plus(X2,X3))|~int_less(X1,X2)|~int_leq(int_zero,X3)),inference(spm,[status(thm)],[38,35,theory(equality)])).
% cnf(129,plain,(a(X1,plus(X1,esk1_2(X2,X3)))=real_zero|X3!=X4|~epred1_2(X2,X4)|~int_less(int_zero,esk1_2(X2,X3))|~int_leq(int_one,X1)|~int_leq(X1,X2)|~int_less(X2,X3)),inference(spm,[status(thm)],[81,45,theory(equality)])).
% cnf(133,plain,(a(X1,plus(X1,esk1_2(X2,X3)))=real_zero|~epred1_2(X2,X3)|~int_less(int_zero,esk1_2(X2,X3))|~int_leq(int_one,X1)|~int_leq(X1,X2)|~int_less(X2,X3)),inference(er,[status(thm)],[129,theory(equality)])).
% cnf(145,negated_conjecture,(int_leq(int_one,esk3_0)|esk4_0=esk5_0|~int_less(int_zero,esk2_0)),inference(spm,[status(thm)],[50,99,theory(equality)])).
% cnf(153,negated_conjecture,(esk4_0=esk5_0|int_leq(int_one,esk3_0)|~int_leq(int_one,esk2_0)),inference(spm,[status(thm)],[145,49,theory(equality)])).
% cnf(154,negated_conjecture,(esk4_0=esk5_0|int_leq(int_one,esk3_0)),inference(csr,[status(thm)],[153,72])).
% cnf(159,negated_conjecture,(int_leq(int_one,esk3_0)|int_leq(int_one,esk4_0)|~int_less(int_zero,esk2_0)),inference(spm,[status(thm)],[50,100,theory(equality)])).
% cnf(162,negated_conjecture,(int_leq(int_one,esk4_0)|~int_less(esk3_0,esk2_0)),inference(spm,[status(thm)],[82,100,theory(equality)])).
% cnf(167,negated_conjecture,(int_leq(int_one,esk4_0)|int_leq(int_one,esk3_0)|~int_leq(int_one,esk2_0)),inference(spm,[status(thm)],[159,49,theory(equality)])).
% cnf(168,negated_conjecture,(int_leq(int_one,esk4_0)|int_leq(int_one,esk3_0)),inference(csr,[status(thm)],[167,74])).
% cnf(175,negated_conjecture,(int_leq(int_one,esk3_0)|int_leq(esk5_0,n)|~int_less(int_zero,esk2_0)),inference(spm,[status(thm)],[50,101,theory(equality)])).
% cnf(177,negated_conjecture,(int_less(X1,esk3_0)|int_leq(esk5_0,n)|~int_less(X1,X2)|~int_less(X2,esk2_0)),inference(spm,[status(thm)],[25,101,theory(equality)])).
% cnf(183,negated_conjecture,(int_leq(esk5_0,n)|int_leq(int_one,esk3_0)|~int_leq(int_one,esk2_0)),inference(spm,[status(thm)],[175,49,theory(equality)])).
% cnf(184,negated_conjecture,(int_leq(esk5_0,n)|int_leq(int_one,esk3_0)),inference(csr,[status(thm)],[183,73])).
% cnf(280,plain,(int_less(int_zero,X1)|int_leq(X1,X2)|~int_leq(int_one,X2)),inference(spm,[status(thm)],[104,49,theory(equality)])).
% cnf(286,plain,(int_less(X1,X2)|int_leq(X2,X3)|X1=X3|~int_leq(X1,X3)),inference(spm,[status(thm)],[104,22,theory(equality)])).
% cnf(309,negated_conjecture,(esk5_0=n|int_less(X1,n)|int_leq(int_one,esk3_0)|~int_less(X1,esk5_0)),inference(spm,[status(thm)],[105,184,theory(equality)])).
% cnf(310,negated_conjecture,(esk3_0=n|int_less(X1,n)|esk4_0=esk5_0|~int_less(X1,esk3_0)),inference(spm,[status(thm)],[105,64,theory(equality)])).
% cnf(311,negated_conjecture,(esk3_0=n|int_less(X1,n)|int_leq(int_one,esk4_0)|~int_less(X1,esk3_0)),inference(spm,[status(thm)],[105,66,theory(equality)])).
% cnf(312,negated_conjecture,(esk3_0=n|int_less(X1,n)|int_leq(esk5_0,n)|~int_less(X1,esk3_0)),inference(spm,[status(thm)],[105,65,theory(equality)])).
% cnf(324,plain,(int_one=X1|int_less(X2,X1)|int_leq(X1,int_zero)|~int_less(X2,int_one)),inference(spm,[status(thm)],[105,93,theory(equality)])).
% cnf(354,plain,(esk1_2(int_zero,X1)=X1|~int_less(int_zero,X1)),inference(spm,[status(thm)],[45,106,theory(equality)])).
% cnf(356,plain,(int_leq(X1,plus(X2,X3))|~int_less(int_zero,X2)|~int_leq(X1,X3)),inference(spm,[status(thm)],[38,106,theory(equality)])).
% cnf(367,negated_conjecture,(int_leq(int_one,n)|esk4_0=esk5_0|n=esk3_0|~int_less(int_zero,esk3_0)),inference(spm,[status(thm)],[50,310,theory(equality)])).
% cnf(369,negated_conjecture,(int_less(X1,n)|esk4_0=esk5_0|n=esk3_0|~int_less(X1,X2)|~int_less(X2,esk3_0)),inference(spm,[status(thm)],[25,310,theory(equality)])).
% cnf(403,negated_conjecture,(n=esk3_0|esk4_0=esk5_0|int_leq(int_one,n)|~int_leq(int_one,esk3_0)),inference(spm,[status(thm)],[367,49,theory(equality)])).
% cnf(404,negated_conjecture,(n=esk3_0|esk4_0=esk5_0|int_leq(int_one,n)),inference(csr,[status(thm)],[403,154])).
% cnf(478,plain,(int_one=esk1_2(X1,X2)|int_less(X3,esk1_2(X1,X2))|~int_less(X3,int_one)|~int_less(X1,X2)),inference(spm,[status(thm)],[105,110,theory(equality)])).
% cnf(610,negated_conjecture,(a(X1,X1)=real_one|int_leq(int_one,esk2_0)|~int_leq(int_one,X1)|~int_leq(X2,n)|~int_leq(int_one,esk5_0)|~int_leq(int_one,X2)|~int_leq(X1,esk5_0)),inference(spm,[status(thm)],[119,73,theory(equality)])).
% cnf(611,negated_conjecture,(a(X1,X1)=real_one|int_leq(int_one,esk3_0)|~int_leq(int_one,X1)|~int_leq(X2,n)|~int_leq(int_one,esk5_0)|~int_leq(int_one,X2)|~int_leq(X1,esk5_0)),inference(spm,[status(thm)],[119,184,theory(equality)])).
% cnf(621,plain,(a(X1,X1)=real_one|~int_leq(int_one,X1)|~int_leq(X2,n)|~int_leq(int_one,n)|~int_leq(int_one,X2)|~int_leq(X1,n)),inference(spm,[status(thm)],[119,83,theory(equality)])).
% cnf(640,plain,(int_leq(plus(X1,int_one),X2)|~int_less(X1,X3)|~int_less(X3,X2)),inference(spm,[status(thm)],[120,110,theory(equality)])).
% cnf(641,plain,(int_leq(plus(X1,int_zero),X2)|~int_less(X1,X3)|~int_less(X3,X2)|~int_leq(int_one,esk1_2(X3,X2))),inference(spm,[status(thm)],[120,92,theory(equality)])).
% cnf(646,plain,(int_leq(X1,X2)|~int_less(X1,X3)|~int_less(X3,X2)|~int_leq(int_one,esk1_2(X3,X2))),inference(rw,[status(thm)],[641,35,theory(equality)])).
% cnf(684,plain,(int_leq(X1,X2)|~int_less(int_zero,X2)|~int_leq(X1,int_zero)),inference(spm,[status(thm)],[121,106,theory(equality)])).
% cnf(725,plain,(int_leq(plus(X1,X2),X4)|~int_less(X1,esk1_2(X3,X4))|~int_leq(X2,X3)|~int_less(X3,X4)),inference(spm,[status(thm)],[122,45,theory(equality)])).
% cnf(831,plain,(X1=plus(X2,X3)|int_less(X4,plus(X2,X3))|~int_less(X4,X1)|~int_less(X1,X2)|~int_leq(int_zero,X3)),inference(spm,[status(thm)],[105,125,theory(equality)])).
% cnf(938,negated_conjecture,(int_leq(int_one,n)|n=esk5_0|int_leq(int_one,esk3_0)|~int_less(int_zero,esk5_0)),inference(spm,[status(thm)],[50,309,theory(equality)])).
% cnf(940,negated_conjecture,(int_less(X1,n)|n=esk5_0|int_leq(int_one,esk3_0)|~int_less(X1,X2)|~int_less(X2,esk5_0)),inference(spm,[status(thm)],[25,309,theory(equality)])).
% cnf(950,negated_conjecture,(n=esk5_0|int_leq(int_one,esk3_0)|int_leq(int_one,n)|int_leq(esk5_0,int_zero)),inference(spm,[status(thm)],[938,30,theory(equality)])).
% cnf(952,negated_conjecture,(n=esk5_0|int_leq(int_one,esk3_0)|int_leq(int_one,n)|~int_leq(int_one,esk5_0)),inference(spm,[status(thm)],[938,49,theory(equality)])).
% cnf(953,negated_conjecture,(int_one=n|int_less(X1,n)|n=esk5_0|int_leq(int_one,esk3_0)|~int_less(X1,int_one)|~int_leq(int_one,esk5_0)),inference(spm,[status(thm)],[105,952,theory(equality)])).
% cnf(998,negated_conjecture,(int_leq(int_one,n)|n=esk3_0|int_leq(int_one,esk4_0)|~int_less(int_zero,esk3_0)),inference(spm,[status(thm)],[50,311,theory(equality)])).
% cnf(1002,negated_conjecture,(n=esk3_0|int_leq(int_one,esk4_0)|~int_less(n,esk3_0)),inference(spm,[status(thm)],[82,311,theory(equality)])).
% cnf(1006,negated_conjecture,(n=esk3_0|int_leq(int_one,esk4_0)|~int_less(n,esk2_0)),inference(spm,[status(thm)],[1002,100,theory(equality)])).
% cnf(1029,plain,(a(X1,plus(X1,esk1_2(X2,X3)))=real_zero|~epred1_2(X2,X3)|~int_less(X2,X3)|~int_leq(int_one,X1)|~int_leq(X1,X2)),inference(csr,[status(thm)],[133,44])).
% cnf(1033,plain,(a(X1,X2)=real_zero|~epred1_2(X1,X2)|~int_less(X1,X2)|~int_leq(int_one,X1)|~int_leq(X1,X1)),inference(spm,[status(thm)],[1029,45,theory(equality)])).
% cnf(1034,plain,(a(X1,X2)=real_zero|~epred1_2(X1,X2)|~int_less(X1,X2)|~int_leq(int_one,X1)|$false),inference(rw,[status(thm)],[1033,83,theory(equality)])).
% cnf(1035,plain,(a(X1,X2)=real_zero|~epred1_2(X1,X2)|~int_less(X1,X2)|~int_leq(int_one,X1)),inference(cn,[status(thm)],[1034,theory(equality)])).
% cnf(1057,negated_conjecture,(n=esk3_0|int_leq(int_one,esk4_0)|int_leq(int_one,n)|~int_leq(int_one,esk3_0)),inference(spm,[status(thm)],[998,49,theory(equality)])).
% cnf(1062,negated_conjecture,(n=esk3_0|int_leq(int_one,esk4_0)|int_leq(int_one,n)),inference(csr,[status(thm)],[1057,168])).
% cnf(1151,negated_conjecture,(int_leq(int_one,n)|n=esk3_0|int_leq(esk5_0,n)|~int_less(int_zero,esk3_0)),inference(spm,[status(thm)],[50,312,theory(equality)])).
% cnf(1155,negated_conjecture,(n=esk3_0|int_leq(esk5_0,n)|~int_less(n,esk3_0)),inference(spm,[status(thm)],[82,312,theory(equality)])).
% cnf(1160,negated_conjecture,(n=esk3_0|int_leq(esk5_0,n)|~int_less(n,esk2_0)),inference(spm,[status(thm)],[1155,101,theory(equality)])).
% cnf(1171,negated_conjecture,(n=esk3_0|int_leq(esk5_0,n)|int_leq(esk2_0,n)),inference(spm,[status(thm)],[1160,30,theory(equality)])).
% cnf(1210,negated_conjecture,(n=esk3_0|int_leq(esk5_0,n)|int_leq(int_one,n)|~int_leq(int_one,esk3_0)),inference(spm,[status(thm)],[1151,49,theory(equality)])).
% cnf(1215,negated_conjecture,(n=esk3_0|int_leq(esk5_0,n)|int_leq(int_one,n)),inference(csr,[status(thm)],[1210,184])).
% cnf(1216,negated_conjecture,(esk5_0=n|int_less(X1,n)|n=esk3_0|int_leq(int_one,n)|~int_less(X1,esk5_0)),inference(spm,[status(thm)],[105,1215,theory(equality)])).
% cnf(1336,negated_conjecture,(int_less(X1,esk3_0)|int_leq(esk5_0,n)|X2=esk2_0|~int_less(X1,X2)|~int_leq(X2,esk2_0)),inference(spm,[status(thm)],[177,22,theory(equality)])).
% cnf(1880,negated_conjecture,(int_less(int_zero,X1)|int_leq(X1,n)|esk4_0=esk5_0|n=esk3_0),inference(spm,[status(thm)],[280,404,theory(equality)])).
% cnf(2235,negated_conjecture,(esk5_0=n|int_less(esk5_0,X1)|int_leq(X1,n)|int_leq(int_one,esk3_0)),inference(spm,[status(thm)],[286,184,theory(equality)])).
% cnf(2236,negated_conjecture,(esk5_0=n|int_less(esk5_0,X1)|int_leq(X1,n)|n=esk3_0|int_leq(int_one,n)),inference(spm,[status(thm)],[286,1215,theory(equality)])).
% cnf(2952,plain,(int_one=X1|int_less(X2,X1)|int_leq(X1,int_zero)|int_leq(int_one,X2)),inference(spm,[status(thm)],[324,30,theory(equality)])).
% cnf(4394,negated_conjecture,(n=esk3_0|esk4_0=esk5_0|int_less(X1,n)|int_leq(esk3_0,X2)|~int_less(X1,X2)),inference(spm,[status(thm)],[369,30,theory(equality)])).
% cnf(4395,negated_conjecture,(n=esk3_0|esk4_0=esk5_0|int_less(X1,n)|X2=esk3_0|~int_less(X1,X2)|~int_leq(X2,esk3_0)),inference(spm,[status(thm)],[369,22,theory(equality)])).
% cnf(4772,negated_conjecture,(int_leq(esk5_0,X1)|n=esk3_0|n=esk5_0|int_leq(int_one,n)|int_leq(X1,n)),inference(spm,[status(thm)],[21,2236,theory(equality)])).
% cnf(5758,plain,(esk1_2(X1,X2)=int_one|~int_less(esk1_2(X1,X2),int_one)|~int_less(X1,X2)),inference(spm,[status(thm)],[82,478,theory(equality)])).
% cnf(5847,negated_conjecture,(X1=n|int_less(X2,n)|n=esk5_0|n=esk3_0|int_leq(int_one,n)|int_leq(esk5_0,X1)|~int_less(X2,X1)),inference(spm,[status(thm)],[105,4772,theory(equality)])).
% cnf(6552,negated_conjecture,(int_leq(int_one,n)|n=esk3_0|n=esk5_0|~int_less(int_zero,esk5_0)),inference(spm,[status(thm)],[50,1216,theory(equality)])).
% cnf(6593,negated_conjecture,(n=esk5_0|n=esk3_0|int_leq(int_one,n)|~int_leq(int_one,esk5_0)),inference(spm,[status(thm)],[6552,49,theory(equality)])).
% cnf(6955,negated_conjecture,(a(X1,X1)=real_one|int_leq(int_one,esk2_0)|~int_leq(int_one,esk5_0)|~int_leq(int_one,X1)|~int_leq(X1,esk5_0)),inference(spm,[status(thm)],[610,73,theory(equality)])).
% cnf(7121,negated_conjecture,(a(X1,X1)=real_one|int_leq(int_one,esk3_0)|~int_leq(int_one,esk5_0)|~int_leq(int_one,X1)|~int_leq(X1,esk5_0)),inference(spm,[status(thm)],[611,184,theory(equality)])).
% cnf(8076,negated_conjecture,(a(X1,X1)=real_one|n=esk3_0|n=esk5_0|~int_leq(int_one,n)|~int_leq(int_one,X1)|~int_leq(int_one,int_one)|~int_leq(X1,n)|~int_leq(int_one,esk5_0)),inference(spm,[status(thm)],[621,6593,theory(equality)])).
% cnf(8091,plain,(a(X1,X1)=real_one|~int_leq(int_one,n)|~int_leq(int_one,X1)|~int_leq(X1,n)),inference(spm,[status(thm)],[621,83,theory(equality)])).
% cnf(8121,negated_conjecture,(a(X1,X1)=real_one|n=esk3_0|n=esk5_0|~int_leq(int_one,n)|~int_leq(int_one,X1)|$false|~int_leq(X1,n)|~int_leq(int_one,esk5_0)),inference(rw,[status(thm)],[8076,83,theory(equality)])).
% cnf(8122,negated_conjecture,(a(X1,X1)=real_one|n=esk3_0|n=esk5_0|~int_leq(int_one,n)|~int_leq(int_one,X1)|~int_leq(X1,n)|~int_leq(int_one,esk5_0)),inference(cn,[status(thm)],[8121,theory(equality)])).
% cnf(8466,negated_conjecture,(int_leq(plus(esk2_0,int_one),X1)|int_leq(int_one,esk4_0)|~int_less(esk3_0,X1)),inference(spm,[status(thm)],[640,70,theory(equality)])).
% cnf(8493,plain,(int_leq(plus(int_zero,int_one),X1)|~int_less(X2,X1)|~int_leq(int_one,X2)),inference(spm,[status(thm)],[640,49,theory(equality)])).
% cnf(8536,plain,(int_leq(int_one,X1)|~int_less(X2,X1)|~int_leq(int_one,X2)),inference(rw,[status(thm)],[8493,106,theory(equality)])).
% cnf(8604,plain,(int_leq(X1,X2)|~int_less(X1,X3)|~int_less(X3,X2)),inference(csr,[status(thm)],[646,110])).
% cnf(9557,plain,(int_leq(X1,int_one)|~int_leq(X1,int_zero)),inference(spm,[status(thm)],[684,31,theory(equality)])).
% cnf(10500,plain,(int_leq(plus(int_zero,X1),X2)|~int_less(X3,X2)|~int_leq(X1,X3)|~int_leq(int_one,esk1_2(X3,X2))),inference(spm,[status(thm)],[725,49,theory(equality)])).
% cnf(10511,plain,(int_leq(X1,X2)|~int_less(X3,X2)|~int_leq(X1,X3)|~int_leq(int_one,esk1_2(X3,X2))),inference(rw,[status(thm)],[10500,106,theory(equality)])).
% cnf(13238,negated_conjecture,(esk3_0=plus(X1,X2)|int_less(esk2_0,plus(X1,X2))|esk4_0=esk5_0|~int_less(esk3_0,X1)|~int_leq(int_zero,X2)),inference(spm,[status(thm)],[831,68,theory(equality)])).
% cnf(13687,negated_conjecture,(int_leq(int_zero,X1)|n=esk3_0|esk4_0=esk5_0|int_leq(X1,n)),inference(spm,[status(thm)],[21,1880,theory(equality)])).
% cnf(16282,negated_conjecture,(n=esk5_0|int_less(X1,n)|int_leq(int_one,esk3_0)|int_leq(esk5_0,X2)|~int_less(X1,X2)),inference(spm,[status(thm)],[940,30,theory(equality)])).
% cnf(18340,plain,(a(X1,X2)=real_zero|~int_less(X1,X2)|~int_leq(int_one,X1)|~int_leq(X2,n)|~int_leq(X1,n)|~int_leq(int_one,X2)),inference(spm,[status(thm)],[1035,54,theory(equality)])).
% cnf(24288,negated_conjecture,(int_one=esk2_0|int_less(int_zero,esk3_0)|int_leq(esk5_0,n)|~int_leq(int_one,esk2_0)),inference(spm,[status(thm)],[1336,31,theory(equality)])).
% cnf(24505,negated_conjecture,(esk2_0=int_one|int_less(int_zero,esk3_0)|int_leq(esk5_0,n)),inference(csr,[status(thm)],[24288,73])).
% cnf(138435,plain,(X1=int_one|~int_less(X1,int_one)|~int_less(int_zero,X1)),inference(spm,[status(thm)],[5758,354,theory(equality)])).
% cnf(140126,negated_conjecture,(n=esk3_0|n=esk5_0|int_less(int_zero,n)|int_leq(int_one,n)|int_leq(esk5_0,esk3_0)|esk2_0=int_one|int_leq(esk5_0,n)),inference(spm,[status(thm)],[5847,24505,theory(equality)])).
% cnf(141903,negated_conjecture,(n=esk3_0|n=esk5_0|int_less(int_zero,n)|int_leq(int_one,n)|int_leq(esk5_0,esk3_0)|int_leq(esk5_0,n)),inference(csr,[status(thm)],[140126,1215])).
% cnf(141904,negated_conjecture,(n=esk3_0|n=esk5_0|int_less(int_zero,n)|int_leq(int_one,n)|int_leq(esk5_0,n)),inference(csr,[status(thm)],[141903,1215])).
% cnf(141905,negated_conjecture,(n=esk3_0|n=esk5_0|int_less(int_zero,n)|int_leq(esk5_0,n)),inference(csr,[status(thm)],[141904,49])).
% cnf(141934,negated_conjecture,(int_less(X1,n)|n=esk5_0|n=esk3_0|int_leq(esk5_0,n)|~int_less(X1,int_zero)),inference(spm,[status(thm)],[25,141905,theory(equality)])).
% cnf(154160,negated_conjecture,(n=esk3_0|n=esk5_0|int_less(esk5_0,n)|int_leq(esk5_0,n)|int_leq(int_one,esk3_0)|int_leq(int_zero,n)),inference(spm,[status(thm)],[141934,2235,theory(equality)])).
% cnf(155038,negated_conjecture,(n=esk3_0|n=esk5_0|int_less(esk5_0,n)|int_leq(esk5_0,n)|int_leq(int_one,esk3_0)),inference(csr,[status(thm)],[154160,184])).
% cnf(155039,negated_conjecture,(n=esk3_0|n=esk5_0|int_less(esk5_0,n)|int_leq(int_one,esk3_0)),inference(csr,[status(thm)],[155038,22])).
% cnf(192773,negated_conjecture,(a(X1,X1)=real_one|n=esk3_0|n=esk5_0|~int_leq(int_one,esk5_0)|~int_leq(int_one,X1)|~int_leq(X1,n)),inference(csr,[status(thm)],[8122,6593])).
% cnf(200107,negated_conjecture,(int_leq(plus(int_one,esk2_0),X1)|int_leq(int_one,esk4_0)|~int_less(esk3_0,X1)),inference(rw,[status(thm)],[8466,33,theory(equality)])).
% cnf(206038,negated_conjecture,(int_leq(int_one,n)|n=esk5_0|int_leq(int_one,esk3_0)|~int_leq(int_one,X1)|~int_less(X1,esk5_0)),inference(spm,[status(thm)],[8536,309,theory(equality)])).
% cnf(206046,negated_conjecture,(int_leq(int_one,n)|n=esk3_0|n=esk5_0|~int_leq(int_one,X1)|~int_less(X1,esk5_0)),inference(spm,[status(thm)],[8536,1216,theory(equality)])).
% cnf(207359,negated_conjecture,(n=esk5_0|n=esk3_0|int_leq(int_one,n)|X1=esk5_0|~int_leq(int_one,X1)|~int_leq(X1,esk5_0)),inference(spm,[status(thm)],[206046,22,theory(equality)])).
% cnf(322095,plain,(int_leq(X1,X2)|~int_less(X3,X2)|~int_leq(X1,X3)),inference(csr,[status(thm)],[10511,110])).
% cnf(530529,negated_conjecture,(X1=esk3_0|esk4_0=esk5_0|int_less(esk2_0,X1)|~int_less(esk3_0,X1)|~int_leq(int_zero,int_zero)),inference(spm,[status(thm)],[13238,35,theory(equality)])).
% cnf(530548,negated_conjecture,(X1=esk3_0|esk4_0=esk5_0|int_less(esk2_0,X1)|~int_less(esk3_0,X1)|$false),inference(rw,[status(thm)],[530529,83,theory(equality)])).
% cnf(530549,negated_conjecture,(X1=esk3_0|esk4_0=esk5_0|int_less(esk2_0,X1)|~int_less(esk3_0,X1)),inference(cn,[status(thm)],[530548,theory(equality)])).
% cnf(530617,negated_conjecture,(esk4_0=esk5_0|X1=esk3_0|int_less(esk2_0,X1)|~int_leq(esk3_0,X1)),inference(spm,[status(thm)],[530549,22,theory(equality)])).
% cnf(560536,negated_conjecture,(esk4_0=esk5_0|n=esk3_0|X1=esk3_0|int_less(esk2_0,n)|~int_leq(X1,esk3_0)|~int_leq(esk3_0,X1)),inference(spm,[status(thm)],[4395,530617,theory(equality)])).
% cnf(605747,negated_conjecture,(n=esk3_0|esk4_0=esk5_0|int_zero=esk3_0|int_less(esk2_0,n)|int_leq(esk3_0,n)|~int_leq(esk3_0,int_zero)),inference(spm,[status(thm)],[560536,13687,theory(equality)])).
% cnf(605943,negated_conjecture,(n=esk3_0|esk4_0=esk5_0|int_zero=esk3_0|int_less(esk2_0,n)|int_leq(esk3_0,n)),inference(csr,[status(thm)],[605747,64])).
% cnf(605944,negated_conjecture,(n=esk3_0|esk4_0=esk5_0|int_zero=esk3_0|int_less(esk2_0,n)),inference(csr,[status(thm)],[605943,530617])).
% cnf(605954,negated_conjecture,(esk4_0=esk5_0|n=esk3_0|int_less(esk2_0,n)|int_leq(esk3_0,n)|int_zero=esk3_0),inference(spm,[status(thm)],[4394,605944,theory(equality)])).
% cnf(606410,negated_conjecture,(esk4_0=esk5_0|n=esk3_0|int_less(esk2_0,n)|int_leq(esk3_0,n)),inference(csr,[status(thm)],[605954,64])).
% cnf(606411,negated_conjecture,(esk4_0=esk5_0|n=esk3_0|int_less(esk2_0,n)),inference(csr,[status(thm)],[606410,530617])).
% cnf(606529,negated_conjecture,(int_leq(X1,n)|n=esk3_0|esk4_0=esk5_0|~int_leq(X1,esk2_0)),inference(spm,[status(thm)],[322095,606411,theory(equality)])).
% cnf(617643,plain,(X1=int_one|~int_less(int_zero,X1)|~int_leq(X1,int_one)),inference(spm,[status(thm)],[138435,22,theory(equality)])).
% cnf(620322,plain,(X1=int_one|~int_leq(X1,int_one)|~int_leq(int_one,X1)),inference(spm,[status(thm)],[617643,49,theory(equality)])).
% cnf(652545,negated_conjecture,(plus(int_one,esk2_0)=int_one|int_leq(int_one,esk4_0)|~int_leq(int_one,plus(int_one,esk2_0))|~int_less(esk3_0,int_one)),inference(spm,[status(thm)],[620322,200107,theory(equality)])).
% cnf(655871,negated_conjecture,(plus(int_one,esk2_0)=int_one|int_leq(int_one,esk4_0)|~int_less(esk3_0,int_one)|~int_less(int_zero,int_one)|~int_leq(int_one,esk2_0)),inference(spm,[status(thm)],[652545,356,theory(equality)])).
% cnf(655897,negated_conjecture,(plus(int_one,esk2_0)=int_one|int_leq(int_one,esk4_0)|~int_less(esk3_0,int_one)|$false|~int_leq(int_one,esk2_0)),inference(rw,[status(thm)],[655871,31,theory(equality)])).
% cnf(655898,negated_conjecture,(plus(int_one,esk2_0)=int_one|int_leq(int_one,esk4_0)|~int_less(esk3_0,int_one)|~int_leq(int_one,esk2_0)),inference(cn,[status(thm)],[655897,theory(equality)])).
% cnf(655943,negated_conjecture,(plus(int_one,esk2_0)=int_one|int_leq(int_one,esk4_0)|~int_less(esk3_0,int_one)),inference(csr,[status(thm)],[655898,74])).
% cnf(655945,negated_conjecture,(int_less(int_one,int_one)|int_leq(int_one,esk4_0)|~int_less(int_zero,esk2_0)|~int_less(esk3_0,int_one)),inference(spm,[status(thm)],[111,655943,theory(equality)])).
% cnf(656133,negated_conjecture,(int_leq(int_one,esk4_0)|~int_less(int_zero,esk2_0)|~int_less(esk3_0,int_one)),inference(sr,[status(thm)],[655945,82,theory(equality)])).
% cnf(657010,negated_conjecture,(int_leq(int_one,esk4_0)|~int_less(esk3_0,int_one)|~int_leq(int_one,esk2_0)),inference(spm,[status(thm)],[656133,49,theory(equality)])).
% cnf(657095,negated_conjecture,(int_leq(int_one,esk4_0)|~int_less(esk3_0,int_one)),inference(csr,[status(thm)],[657010,74])).
% cnf(703059,negated_conjecture,(n=esk5_0|int_less(esk5_0,n)|int_leq(int_one,esk3_0)|int_leq(esk5_0,n)|n=esk3_0),inference(spm,[status(thm)],[16282,155039,theory(equality)])).
% cnf(703482,negated_conjecture,(n=esk5_0|int_less(esk5_0,n)|int_leq(int_one,esk3_0)|int_leq(esk5_0,n)),inference(csr,[status(thm)],[703059,184])).
% cnf(703483,negated_conjecture,(n=esk5_0|int_less(esk5_0,n)|int_leq(int_one,esk3_0)),inference(csr,[status(thm)],[703482,22])).
% cnf(703607,negated_conjecture,(int_leq(X1,n)|n=esk5_0|int_leq(int_one,esk3_0)|~int_leq(X1,esk5_0)),inference(spm,[status(thm)],[322095,703483,theory(equality)])).
% cnf(825658,plain,(a(X1,X2)=real_zero|~int_less(X1,X2)|~int_leq(int_one,X1)|~int_leq(X2,n)|~int_leq(X1,n)),inference(csr,[status(thm)],[18340,322095])).
% cnf(825659,negated_conjecture,(esk4_0=esk5_0|~int_less(esk2_0,esk3_0)|~int_leq(int_one,esk2_0)|~int_leq(esk3_0,n)|~int_leq(esk2_0,n)),inference(spm,[status(thm)],[60,825658,theory(equality)])).
% cnf(825662,negated_conjecture,(int_leq(esk5_0,n)|~int_less(esk2_0,esk3_0)|~int_leq(int_one,esk2_0)|~int_leq(esk3_0,n)|~int_leq(esk2_0,n)),inference(spm,[status(thm)],[61,825658,theory(equality)])).
% cnf(825740,negated_conjecture,(esk4_0=esk5_0|~int_less(esk2_0,esk3_0)|~int_leq(esk2_0,n)|~int_leq(int_one,esk2_0)),inference(csr,[status(thm)],[825659,64])).
% cnf(825741,negated_conjecture,(esk4_0=esk5_0|~int_less(esk2_0,esk3_0)|~int_leq(esk2_0,n)),inference(csr,[status(thm)],[825740,72])).
% cnf(825742,negated_conjecture,(esk4_0=esk5_0|~int_leq(esk2_0,n)),inference(csr,[status(thm)],[825741,68])).
% cnf(825771,negated_conjecture,(esk4_0=esk5_0|n=esk3_0|~int_leq(esk2_0,esk2_0)),inference(spm,[status(thm)],[825742,606529,theory(equality)])).
% cnf(825779,negated_conjecture,(esk4_0=esk5_0|n=esk3_0|$false),inference(rw,[status(thm)],[825771,83,theory(equality)])).
% cnf(825780,negated_conjecture,(esk4_0=esk5_0|n=esk3_0),inference(cn,[status(thm)],[825779,theory(equality)])).
% cnf(825865,negated_conjecture,(esk4_0=esk5_0|~int_leq(esk2_0,esk3_0)),inference(spm,[status(thm)],[825742,825780,theory(equality)])).
% cnf(825888,negated_conjecture,(esk4_0=esk5_0),inference(csr,[status(thm)],[825865,88])).
% cnf(825962,negated_conjecture,(int_leq(int_one,esk5_0)|~int_less(esk3_0,int_one)),inference(rw,[status(thm)],[657095,825888,theory(equality)])).
% cnf(826722,negated_conjecture,(n=esk3_0|int_leq(int_one,esk5_0)|~int_less(n,esk2_0)),inference(rw,[status(thm)],[1006,825888,theory(equality)])).
% cnf(826727,negated_conjecture,(n=esk3_0|int_leq(int_one,n)|int_leq(int_one,esk5_0)),inference(rw,[status(thm)],[1062,825888,theory(equality)])).
% cnf(826768,negated_conjecture,(int_leq(int_one,esk5_0)|~int_less(esk3_0,esk2_0)),inference(rw,[status(thm)],[162,825888,theory(equality)])).
% cnf(826783,negated_conjecture,(int_leq(int_one,esk5_0)|a(esk2_0,esk3_0)!=real_zero),inference(rw,[status(thm)],[62,825888,theory(equality)])).
% cnf(826784,negated_conjecture,(a(esk5_0,esk5_0)=real_zero|a(esk2_0,esk3_0)!=real_zero),inference(rw,[status(thm)],[59,825888,theory(equality)])).
% cnf(826785,negated_conjecture,(int_less(esk2_0,esk3_0)|int_leq(int_one,esk5_0)),inference(rw,[status(thm)],[70,825888,theory(equality)])).
% cnf(826786,negated_conjecture,(int_leq(int_one,esk5_0)|int_leq(esk3_0,n)),inference(rw,[status(thm)],[66,825888,theory(equality)])).
% cnf(826787,negated_conjecture,(int_leq(int_one,esk2_0)|int_leq(int_one,esk5_0)),inference(rw,[status(thm)],[74,825888,theory(equality)])).
% cnf(826788,negated_conjecture,(a(esk5_0,esk5_0)=real_zero|int_less(esk2_0,esk3_0)),inference(rw,[status(thm)],[67,825888,theory(equality)])).
% cnf(826789,negated_conjecture,(a(esk5_0,esk5_0)=real_zero|int_leq(esk3_0,n)),inference(rw,[status(thm)],[63,825888,theory(equality)])).
% cnf(826790,negated_conjecture,(a(esk5_0,esk5_0)=real_zero|int_leq(int_one,esk2_0)),inference(rw,[status(thm)],[71,825888,theory(equality)])).
% cnf(826795,negated_conjecture,(int_leq(int_one,esk5_0)|int_leq(int_one,esk3_0)),inference(spm,[status(thm)],[825962,30,theory(equality)])).
% cnf(826903,plain,(int_leq(int_one,esk5_0)|~int_less(esk2_0,esk3_0)|~int_leq(int_one,esk2_0)|~int_leq(esk3_0,n)|~int_leq(esk2_0,n)),inference(spm,[status(thm)],[826783,825658,theory(equality)])).
% cnf(826910,plain,(a(esk5_0,esk5_0)=real_zero|~int_less(esk2_0,esk3_0)|~int_leq(int_one,esk2_0)|~int_leq(esk3_0,n)|~int_leq(esk2_0,n)),inference(spm,[status(thm)],[826784,825658,theory(equality)])).
% cnf(827192,negated_conjecture,(n=esk3_0|int_leq(int_one,esk5_0)|int_leq(esk2_0,n)),inference(spm,[status(thm)],[826722,30,theory(equality)])).
% cnf(827669,negated_conjecture,(int_less(esk2_0,X1)|int_leq(X1,esk3_0)|int_leq(int_one,esk5_0)),inference(spm,[status(thm)],[104,826785,theory(equality)])).
% cnf(828064,negated_conjecture,(real_zero=real_one|int_leq(int_one,esk3_0)|int_less(esk2_0,esk3_0)|~int_leq(int_one,esk5_0)|~int_leq(esk5_0,esk5_0)),inference(spm,[status(thm)],[7121,826788,theory(equality)])).
% cnf(828069,plain,(real_zero=real_one|int_less(esk2_0,esk3_0)|~int_leq(int_one,n)|~int_leq(int_one,esk5_0)|~int_leq(esk5_0,n)),inference(spm,[status(thm)],[8091,826788,theory(equality)])).
% cnf(828076,negated_conjecture,(real_zero=real_one|int_leq(int_one,esk3_0)|int_less(esk2_0,esk3_0)|~int_leq(int_one,esk5_0)|$false),inference(rw,[status(thm)],[828064,83,theory(equality)])).
% cnf(828077,negated_conjecture,(real_zero=real_one|int_leq(int_one,esk3_0)|int_less(esk2_0,esk3_0)|~int_leq(int_one,esk5_0)),inference(cn,[status(thm)],[828076,theory(equality)])).
% cnf(828078,negated_conjecture,(int_leq(int_one,esk3_0)|int_less(esk2_0,esk3_0)|~int_leq(int_one,esk5_0)),inference(sr,[status(thm)],[828077,51,theory(equality)])).
% cnf(828082,plain,(int_less(esk2_0,esk3_0)|~int_leq(int_one,n)|~int_leq(int_one,esk5_0)|~int_leq(esk5_0,n)),inference(sr,[status(thm)],[828069,51,theory(equality)])).
% cnf(828091,negated_conjecture,(real_zero=real_one|n=esk5_0|n=esk3_0|int_leq(esk3_0,n)|~int_leq(int_one,esk5_0)|~int_leq(esk5_0,n)),inference(spm,[status(thm)],[192773,826789,theory(equality)])).
% cnf(828092,plain,(real_zero=real_one|int_leq(esk3_0,n)|~int_leq(int_one,n)|~int_leq(int_one,esk5_0)|~int_leq(esk5_0,n)),inference(spm,[status(thm)],[8091,826789,theory(equality)])).
% cnf(828104,negated_conjecture,(n=esk5_0|n=esk3_0|int_leq(esk3_0,n)|~int_leq(int_one,esk5_0)|~int_leq(esk5_0,n)),inference(sr,[status(thm)],[828091,51,theory(equality)])).
% cnf(828105,plain,(int_leq(esk3_0,n)|~int_leq(int_one,n)|~int_leq(int_one,esk5_0)|~int_leq(esk5_0,n)),inference(sr,[status(thm)],[828092,51,theory(equality)])).
% cnf(828108,negated_conjecture,(real_zero=real_one|int_leq(int_one,esk2_0)|~int_leq(int_one,esk5_0)|~int_leq(esk5_0,esk5_0)),inference(spm,[status(thm)],[6955,826790,theory(equality)])).
% cnf(828118,negated_conjecture,(real_zero=real_one|int_leq(int_one,esk2_0)|~int_leq(int_one,esk5_0)|$false),inference(rw,[status(thm)],[828108,83,theory(equality)])).
% cnf(828119,negated_conjecture,(real_zero=real_one|int_leq(int_one,esk2_0)|~int_leq(int_one,esk5_0)),inference(cn,[status(thm)],[828118,theory(equality)])).
% cnf(828120,negated_conjecture,(int_leq(int_one,esk2_0)|~int_leq(int_one,esk5_0)),inference(sr,[status(thm)],[828119,51,theory(equality)])).
% cnf(828131,negated_conjecture,(int_leq(int_one,esk2_0)),inference(csr,[status(thm)],[828120,826787])).
% cnf(829354,negated_conjecture,(n=esk3_0|n=esk5_0|int_leq(int_one,n)|int_leq(int_one,esk5_0)|~int_leq(n,esk5_0)),inference(spm,[status(thm)],[207359,826727,theory(equality)])).
% cnf(829612,negated_conjecture,(int_less(esk2_0,esk3_0)|int_leq(int_one,esk3_0)),inference(csr,[status(thm)],[828078,826795])).
% cnf(829668,negated_conjecture,(int_less(esk2_0,X1)|int_leq(X1,esk3_0)|int_leq(int_one,esk3_0)),inference(spm,[status(thm)],[104,829612,theory(equality)])).
% cnf(830400,plain,(int_less(esk2_0,esk3_0)|~int_leq(int_one,n)|~int_leq(int_one,esk5_0)),inference(csr,[status(thm)],[828082,69])).
% cnf(830401,plain,(int_less(esk2_0,esk3_0)|~int_leq(int_one,n)),inference(csr,[status(thm)],[830400,826785])).
% cnf(830402,plain,(int_leq(esk2_0,esk3_0)|~int_leq(int_one,n)),inference(spm,[status(thm)],[21,830401,theory(equality)])).
% cnf(830448,plain,(int_less(X1,esk3_0)|~int_less(X1,esk2_0)|~int_leq(int_one,n)),inference(spm,[status(thm)],[25,830401,theory(equality)])).
% cnf(830459,plain,(int_leq(esk2_0,X1)|~int_less(esk3_0,X1)|~int_leq(int_one,n)),inference(spm,[status(thm)],[8604,830401,theory(equality)])).
% cnf(830713,plain,(int_leq(esk3_0,n)|~int_leq(int_one,n)|~int_leq(int_one,esk5_0)),inference(csr,[status(thm)],[828105,65])).
% cnf(830714,plain,(int_leq(esk3_0,n)|~int_leq(int_one,n)),inference(csr,[status(thm)],[830713,826786])).
% cnf(831111,negated_conjecture,(n=esk5_0|n=esk3_0|int_leq(esk3_0,n)|~int_leq(int_one,esk5_0)),inference(csr,[status(thm)],[828104,65])).
% cnf(831112,negated_conjecture,(n=esk5_0|n=esk3_0|int_leq(esk3_0,n)),inference(csr,[status(thm)],[831111,826786])).
% cnf(831114,negated_conjecture,(esk3_0=n|int_less(esk3_0,X1)|int_leq(X1,n)|n=esk5_0),inference(spm,[status(thm)],[286,831112,theory(equality)])).
% cnf(831657,negated_conjecture,(n=esk3_0|n=esk5_0|int_leq(int_one,n)|int_leq(int_one,esk5_0)),inference(csr,[status(thm)],[829354,826727])).
% cnf(831658,negated_conjecture,(n=esk3_0|n=esk5_0|int_leq(int_one,n)),inference(csr,[status(thm)],[831657,6593])).
% cnf(832527,negated_conjecture,(int_leq(esk5_0,n)|~int_less(esk2_0,esk3_0)|$false|~int_leq(esk3_0,n)|~int_leq(esk2_0,n)),inference(rw,[status(thm)],[825662,828131,theory(equality)])).
% cnf(832528,negated_conjecture,(int_leq(esk5_0,n)|~int_less(esk2_0,esk3_0)|~int_leq(esk3_0,n)|~int_leq(esk2_0,n)),inference(cn,[status(thm)],[832527,theory(equality)])).
% cnf(832529,negated_conjecture,(int_leq(esk5_0,n)|~int_less(esk2_0,esk3_0)|~int_leq(esk2_0,n)),inference(csr,[status(thm)],[832528,65])).
% cnf(832530,negated_conjecture,(int_leq(esk5_0,n)|~int_leq(esk2_0,n)),inference(csr,[status(thm)],[832529,69])).
% cnf(832539,negated_conjecture,(int_leq(esk5_0,n)|n=esk3_0),inference(spm,[status(thm)],[832530,1171,theory(equality)])).
% cnf(832615,plain,(int_leq(int_one,esk5_0)|~int_less(esk2_0,esk3_0)|$false|~int_leq(esk3_0,n)|~int_leq(esk2_0,n)),inference(rw,[status(thm)],[826903,828131,theory(equality)])).
% cnf(832616,plain,(int_leq(int_one,esk5_0)|~int_less(esk2_0,esk3_0)|~int_leq(esk3_0,n)|~int_leq(esk2_0,n)),inference(cn,[status(thm)],[832615,theory(equality)])).
% cnf(832617,plain,(int_leq(int_one,esk5_0)|~int_less(esk2_0,esk3_0)|~int_leq(esk2_0,n)),inference(csr,[status(thm)],[832616,826786])).
% cnf(832618,plain,(int_leq(int_one,esk5_0)|~int_leq(esk2_0,n)),inference(csr,[status(thm)],[832617,826785])).
% cnf(832624,negated_conjecture,(int_leq(int_one,esk5_0)|n=esk3_0),inference(spm,[status(thm)],[832618,827192,theory(equality)])).
% cnf(833560,plain,(a(esk5_0,esk5_0)=real_zero|~int_less(esk2_0,esk3_0)|$false|~int_leq(esk3_0,n)|~int_leq(esk2_0,n)),inference(rw,[status(thm)],[826910,828131,theory(equality)])).
% cnf(833561,plain,(a(esk5_0,esk5_0)=real_zero|~int_less(esk2_0,esk3_0)|~int_leq(esk3_0,n)|~int_leq(esk2_0,n)),inference(cn,[status(thm)],[833560,theory(equality)])).
% cnf(833562,plain,(a(esk5_0,esk5_0)=real_zero|~int_less(esk2_0,esk3_0)|~int_leq(esk2_0,n)),inference(csr,[status(thm)],[833561,826789])).
% cnf(833563,plain,(a(esk5_0,esk5_0)=real_zero|~int_leq(esk2_0,n)),inference(csr,[status(thm)],[833562,826788])).
% cnf(833567,negated_conjecture,(real_zero=real_one|n=esk5_0|n=esk3_0|~int_leq(int_one,esk5_0)|~int_leq(esk5_0,n)|~int_leq(esk2_0,n)),inference(spm,[status(thm)],[192773,833563,theory(equality)])).
% cnf(833568,plain,(real_zero=real_one|~int_leq(int_one,n)|~int_leq(int_one,esk5_0)|~int_leq(esk5_0,n)|~int_leq(esk2_0,n)),inference(spm,[status(thm)],[8091,833563,theory(equality)])).
% cnf(833575,negated_conjecture,(n=esk5_0|n=esk3_0|~int_leq(int_one,esk5_0)|~int_leq(esk5_0,n)|~int_leq(esk2_0,n)),inference(sr,[status(thm)],[833567,51,theory(equality)])).
% cnf(833576,plain,(~int_leq(int_one,n)|~int_leq(int_one,esk5_0)|~int_leq(esk5_0,n)|~int_leq(esk2_0,n)),inference(sr,[status(thm)],[833568,51,theory(equality)])).
% cnf(833698,plain,(~int_leq(esk2_0,n)|~int_leq(int_one,n)|~int_leq(int_one,esk5_0)),inference(csr,[status(thm)],[833576,832530])).
% cnf(833699,plain,(~int_leq(esk2_0,n)|~int_leq(int_one,n)),inference(csr,[status(thm)],[833698,832618])).
% cnf(833706,negated_conjecture,(n=esk5_0|n=esk3_0|~int_leq(esk2_0,n)|~int_leq(int_one,esk5_0)),inference(csr,[status(thm)],[833575,832539])).
% cnf(833707,negated_conjecture,(n=esk5_0|n=esk3_0|~int_leq(esk2_0,n)),inference(csr,[status(thm)],[833706,832624])).
% cnf(841091,negated_conjecture,(int_leq(esk2_0,n)|n=esk5_0|int_leq(int_one,esk3_0)|~int_leq(int_one,n)|~int_less(esk3_0,esk5_0)),inference(spm,[status(thm)],[830459,309,theory(equality)])).
% cnf(841092,negated_conjecture,(int_leq(esk2_0,n)|n=esk5_0|n=int_one|int_leq(int_one,esk3_0)|~int_leq(int_one,n)|~int_less(esk3_0,int_one)|~int_leq(int_one,esk5_0)),inference(spm,[status(thm)],[830459,953,theory(equality)])).
% cnf(841412,negated_conjecture,(n=esk5_0|int_leq(int_one,esk3_0)|~int_less(esk3_0,esk5_0)|~int_leq(int_one,n)),inference(csr,[status(thm)],[841091,833699])).
% cnf(841435,negated_conjecture,(n=esk5_0|int_leq(int_one,esk3_0)|int_one=esk5_0|int_leq(esk5_0,int_zero)|~int_leq(int_one,n)),inference(spm,[status(thm)],[841412,2952,theory(equality)])).
% cnf(841649,negated_conjecture,(n=esk5_0|n=int_one|int_leq(esk2_0,n)|int_leq(int_one,esk3_0)|~int_less(esk3_0,int_one)|~int_leq(int_one,n)),inference(csr,[status(thm)],[841092,826795])).
% cnf(841650,negated_conjecture,(n=esk5_0|n=int_one|int_leq(esk2_0,n)|int_leq(int_one,esk3_0)|~int_leq(int_one,n)),inference(csr,[status(thm)],[841649,30])).
% cnf(841651,negated_conjecture,(n=int_one|n=esk5_0|int_leq(int_one,esk3_0)|~int_leq(int_one,n)),inference(csr,[status(thm)],[841650,833699])).
% cnf(842565,negated_conjecture,(n=esk5_0|esk5_0=int_one|int_leq(int_one,esk3_0)|int_leq(esk5_0,int_zero)),inference(csr,[status(thm)],[841435,950])).
% cnf(842609,negated_conjecture,(int_leq(esk5_0,int_one)|esk5_0=int_one|n=esk5_0|int_leq(int_one,esk3_0)),inference(spm,[status(thm)],[9557,842565,theory(equality)])).
% cnf(842688,negated_conjecture,(esk5_0=int_one|n=esk5_0|int_leq(int_one,esk3_0)|~int_leq(int_one,esk5_0)),inference(spm,[status(thm)],[620322,842609,theory(equality)])).
% cnf(842721,negated_conjecture,(esk5_0=int_one|n=esk5_0|int_leq(int_one,esk3_0)),inference(csr,[status(thm)],[842688,826795])).
% cnf(851069,negated_conjecture,(n=esk5_0|int_leq(int_one,esk3_0)|int_leq(int_one,n)|int_leq(int_one,esk5_0)|int_leq(esk5_0,esk3_0)|~int_leq(int_one,esk2_0)),inference(spm,[status(thm)],[206038,827669,theory(equality)])).
% cnf(851319,negated_conjecture,(n=esk5_0|int_leq(int_one,esk3_0)|int_leq(int_one,n)|int_leq(int_one,esk5_0)|int_leq(esk5_0,esk3_0)|$false),inference(rw,[status(thm)],[851069,828131,theory(equality)])).
% cnf(851320,negated_conjecture,(n=esk5_0|int_leq(int_one,esk3_0)|int_leq(int_one,n)|int_leq(int_one,esk5_0)|int_leq(esk5_0,esk3_0)),inference(cn,[status(thm)],[851319,theory(equality)])).
% cnf(851372,negated_conjecture,(n=esk5_0|int_leq(int_one,esk3_0)|int_leq(int_one,n)|int_leq(int_one,esk5_0)),inference(csr,[status(thm)],[851320,826795])).
% cnf(851373,negated_conjecture,(n=esk5_0|int_leq(int_one,esk3_0)|int_leq(int_one,n)),inference(csr,[status(thm)],[851372,703607])).
% cnf(851446,negated_conjecture,(n=int_one|n=esk5_0|int_leq(int_one,esk3_0)),inference(spm,[status(thm)],[841651,851373,theory(equality)])).
% cnf(852212,negated_conjecture,(esk2_0=int_one|int_leq(int_one,esk3_0)|~int_less(int_zero,esk2_0)),inference(spm,[status(thm)],[138435,829668,theory(equality)])).
% cnf(852497,negated_conjecture,(esk2_0=int_one|int_leq(int_one,esk3_0)|~int_leq(int_one,esk2_0)),inference(spm,[status(thm)],[852212,49,theory(equality)])).
% cnf(852519,negated_conjecture,(esk2_0=int_one|int_leq(int_one,esk3_0)|$false),inference(rw,[status(thm)],[852497,828131,theory(equality)])).
% cnf(852520,negated_conjecture,(esk2_0=int_one|int_leq(int_one,esk3_0)),inference(cn,[status(thm)],[852519,theory(equality)])).
% cnf(855249,plain,(~int_less(esk3_0,esk2_0)|~int_leq(int_one,n)),inference(spm,[status(thm)],[82,830448,theory(equality)])).
% cnf(855481,plain,(esk3_0=esk2_0|~int_leq(int_one,n)|~int_leq(esk3_0,esk2_0)),inference(spm,[status(thm)],[855249,22,theory(equality)])).
% cnf(855510,negated_conjecture,(n=esk5_0|n=esk3_0|int_leq(esk2_0,n)|~int_leq(int_one,n)),inference(spm,[status(thm)],[855249,831114,theory(equality)])).
% cnf(855604,negated_conjecture,(n=esk5_0|n=esk3_0|int_leq(esk2_0,n)),inference(csr,[status(thm)],[855510,831658])).
% cnf(855605,negated_conjecture,(n=esk5_0|n=esk3_0),inference(csr,[status(thm)],[855604,833707])).
% cnf(855606,negated_conjecture,(n=esk5_0|esk3_0!=esk5_0),inference(ef,[status(thm)],[855605,theory(equality)])).
% cnf(855660,plain,(n=esk5_0|~int_leq(int_one,esk3_0)|~int_leq(esk2_0,esk3_0)),inference(spm,[status(thm)],[833699,855605,theory(equality)])).
% cnf(855726,plain,(n=esk5_0|~int_leq(int_one,esk3_0)|~int_leq(int_one,n)),inference(spm,[status(thm)],[855660,830402,theory(equality)])).
% cnf(855733,negated_conjecture,(esk3_0=esk5_0|n=esk5_0|~int_leq(int_one,esk3_0)),inference(spm,[status(thm)],[855726,855605,theory(equality)])).
% cnf(855735,negated_conjecture,(n=esk5_0|~int_leq(int_one,esk3_0)),inference(csr,[status(thm)],[855733,855606])).
% cnf(855739,negated_conjecture,(n=esk5_0|n=int_one),inference(spm,[status(thm)],[855735,851446,theory(equality)])).
% cnf(855741,negated_conjecture,(n=esk5_0|esk5_0=int_one),inference(spm,[status(thm)],[855735,842721,theory(equality)])).
% cnf(855745,negated_conjecture,(n=int_one|esk5_0!=int_one),inference(ef,[status(thm)],[855739,theory(equality)])).
% cnf(855989,plain,(int_leq(esk3_0,int_one)|~int_leq(int_one,int_one)|esk5_0!=int_one),inference(spm,[status(thm)],[830714,855745,theory(equality)])).
% cnf(856011,plain,(~int_leq(int_one,int_one)|~int_leq(esk2_0,int_one)|esk5_0!=int_one),inference(spm,[status(thm)],[833699,855745,theory(equality)])).
% cnf(856020,plain,(int_leq(esk3_0,int_one)|$false|esk5_0!=int_one),inference(rw,[status(thm)],[855989,83,theory(equality)])).
% cnf(856021,plain,(int_leq(esk3_0,int_one)|esk5_0!=int_one),inference(cn,[status(thm)],[856020,theory(equality)])).
% cnf(856027,plain,($false|~int_leq(esk2_0,int_one)|esk5_0!=int_one),inference(rw,[status(thm)],[856011,83,theory(equality)])).
% cnf(856028,plain,(~int_leq(esk2_0,int_one)|esk5_0!=int_one),inference(cn,[status(thm)],[856027,theory(equality)])).
% cnf(856188,plain,(esk3_0=int_one|~int_leq(int_one,esk3_0)|esk5_0!=int_one),inference(spm,[status(thm)],[620322,856021,theory(equality)])).
% cnf(856228,negated_conjecture,(esk3_0=int_one|esk2_0=int_one|esk5_0!=int_one),inference(spm,[status(thm)],[856188,852520,theory(equality)])).
% cnf(856309,plain,(int_one=esk2_0|~int_leq(int_one,n)|~int_leq(int_one,esk2_0)|esk5_0!=int_one),inference(spm,[status(thm)],[855481,856228,theory(equality)])).
% cnf(856346,plain,(int_one=esk2_0|~int_leq(int_one,n)|$false|esk5_0!=int_one),inference(rw,[status(thm)],[856309,828131,theory(equality)])).
% cnf(856347,plain,(int_one=esk2_0|~int_leq(int_one,n)|esk5_0!=int_one),inference(cn,[status(thm)],[856346,theory(equality)])).
% cnf(856361,negated_conjecture,(esk2_0=int_one|esk5_0!=int_one|~int_leq(int_one,int_one)),inference(spm,[status(thm)],[856347,855745,theory(equality)])).
% cnf(856364,negated_conjecture,(esk2_0=int_one|esk5_0!=int_one|$false),inference(rw,[status(thm)],[856361,83,theory(equality)])).
% cnf(856365,negated_conjecture,(esk2_0=int_one|esk5_0!=int_one),inference(cn,[status(thm)],[856364,theory(equality)])).
% cnf(856781,plain,(esk5_0!=int_one|~int_leq(int_one,int_one)),inference(spm,[status(thm)],[856028,856365,theory(equality)])).
% cnf(856803,plain,(esk5_0!=int_one|$false),inference(rw,[status(thm)],[856781,83,theory(equality)])).
% cnf(856804,plain,(esk5_0!=int_one),inference(cn,[status(thm)],[856803,theory(equality)])).
% cnf(856811,negated_conjecture,(n=esk5_0),inference(sr,[status(thm)],[855741,856804,theory(equality)])).
% cnf(856841,plain,(~int_less(esk3_0,esk2_0)|~int_leq(int_one,esk5_0)),inference(rw,[status(thm)],[855249,856811,theory(equality)])).
% cnf(856845,plain,(~int_leq(int_one,esk5_0)|~int_leq(esk2_0,n)),inference(rw,[status(thm)],[833699,856811,theory(equality)])).
% cnf(856846,plain,(~int_leq(int_one,esk5_0)|~int_leq(esk2_0,esk5_0)),inference(rw,[status(thm)],[856845,856811,theory(equality)])).
% cnf(856892,plain,(int_less(esk2_0,esk3_0)|~int_leq(int_one,esk5_0)),inference(rw,[status(thm)],[830401,856811,theory(equality)])).
% cnf(856935,plain,(int_leq(esk3_0,esk5_0)|~int_leq(int_one,n)),inference(rw,[status(thm)],[830714,856811,theory(equality)])).
% cnf(856936,plain,(int_leq(esk3_0,esk5_0)|~int_leq(int_one,esk5_0)),inference(rw,[status(thm)],[856935,856811,theory(equality)])).
% cnf(857278,plain,(int_leq(int_one,esk5_0)|~int_leq(esk2_0,esk5_0)),inference(rw,[status(thm)],[832618,856811,theory(equality)])).
% cnf(857409,negated_conjecture,(int_leq(esk3_0,esk5_0)|int_leq(int_one,esk5_0)),inference(rw,[status(thm)],[826786,856811,theory(equality)])).
% cnf(857411,plain,(~int_less(esk3_0,esk2_0)),inference(csr,[status(thm)],[856841,826768])).
% cnf(857413,plain,(int_leq(esk2_0,esk3_0)),inference(spm,[status(thm)],[857411,30,theory(equality)])).
% cnf(857743,plain,(~int_leq(esk2_0,esk5_0)),inference(csr,[status(thm)],[857278,856846])).
% cnf(857808,plain,(int_less(esk2_0,esk3_0)),inference(csr,[status(thm)],[856892,826785])).
% cnf(858117,negated_conjecture,(int_leq(esk3_0,esk5_0)),inference(csr,[status(thm)],[857409,856936])).
% cnf(858118,negated_conjecture,(esk3_0=esk5_0|int_less(X1,esk5_0)|~int_less(X1,esk3_0)),inference(spm,[status(thm)],[105,858117,theory(equality)])).
% cnf(859388,plain,(esk3_0=esk5_0|int_less(esk2_0,esk5_0)),inference(spm,[status(thm)],[858118,857808,theory(equality)])).
% cnf(859425,plain,(int_leq(esk2_0,esk5_0)|esk3_0=esk5_0),inference(spm,[status(thm)],[21,859388,theory(equality)])).
% cnf(859540,plain,(esk3_0=esk5_0),inference(sr,[status(thm)],[859425,857743,theory(equality)])).
% cnf(859609,plain,(int_leq(esk2_0,esk5_0)),inference(rw,[status(thm)],[857413,859540,theory(equality)])).
% cnf(859610,plain,($false),inference(sr,[status(thm)],[859609,857743,theory(equality)])).
% cnf(859611,plain,($false),859610,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 41049
% # ...of these trivial                : 54
% # ...subsumed                        : 37583
% # ...remaining for further processing: 3412
% # Other redundant clauses eliminated : 80
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 1376
% # Backward-rewritten                 : 1487
% # Generated clauses                  : 600891
% # ...of the previous two non-trivial : 565378
% # Contextual simplify-reflections    : 134493
% # Paramodulations                    : 600665
% # Factorizations                     : 136
% # Equation resolutions               : 86
% # Current number of processed clauses: 507
% #    Positive orientable unit clauses: 10
% #    Positive unorientable unit clauses: 1
% #    Negative unit clauses           : 5
% #    Non-unit-clauses                : 491
% # Current number of unprocessed clauses: 19153
% # ...number of literals in the above : 123705
% # Clause-clause subsumption calls (NU) : 2326091
% # Rec. Clause-clause subsumption calls : 695658
% # Unit Clause-clause subsumption calls : 512
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 30
% # Indexed BW rewrite successes       : 13
% # Backwards rewriting index:   136 leaves,   3.26+/-4.486 terms/leaf
% # Paramod-from index:           80 leaves,   1.68+/-1.403 terms/leaf
% # Paramod-into index:          121 leaves,   2.48+/-2.938 terms/leaf
% # -------------------------------------------------
% # User time              : 33.457 s
% # System time            : 0.928 s
% # Total time             : 34.385 s
% # Maximum resident set size: 0 pages
% PrfWatch: 49.86 CPU 50.34 WC
% FINAL PrfWatch: 49.86 CPU 50.34 WC
% SZS output end Solution for /tmp/SystemOnTPTP7137/SWV492+1.tptp
% 
%------------------------------------------------------------------------------