TSTP Solution File: SWV491+3 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWV491+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art06.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 09:14:07 EST 2010
% Result : Theorem 62.00s
% Output : Solution 62.00s
% 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/SystemOnTPTP8551/SWV491+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP8551/SWV491+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP8551/SWV491+3.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 8647
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.90 CPU 4.02 WC
% PrfWatch: 5.90 CPU 6.02 WC
% PrfWatch: 7.89 CPU 8.03 WC
% PrfWatch: 9.88 CPU 10.03 WC
% PrfWatch: 11.79 CPU 12.08 WC
% PrfWatch: 13.38 CPU 14.09 WC
% PrfWatch: 15.16 CPU 16.09 WC
% PrfWatch: 17.15 CPU 18.10 WC
% PrfWatch: 19.13 CPU 20.10 WC
% PrfWatch: 21.12 CPU 22.11 WC
% PrfWatch: 23.12 CPU 24.11 WC
% PrfWatch: 25.10 CPU 26.11 WC
% PrfWatch: 27.09 CPU 28.12 WC
% PrfWatch: 29.07 CPU 30.12 WC
% PrfWatch: 31.05 CPU 32.13 WC
% PrfWatch: 33.04 CPU 34.13 WC
% PrfWatch: 35.02 CPU 36.14 WC
% PrfWatch: 37.01 CPU 38.14 WC
% PrfWatch: 38.99 CPU 40.15 WC
% PrfWatch: 40.98 CPU 42.15 WC
% # Preprocessing time : 0.014 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 42.96 CPU 44.16 WC
% PrfWatch: 44.96 CPU 46.16 WC
% PrfWatch: 46.95 CPU 48.17 WC
% PrfWatch: 48.95 CPU 50.17 WC
% PrfWatch: 50.94 CPU 52.18 WC
% PrfWatch: 52.93 CPU 54.18 WC
% PrfWatch: 54.93 CPU 56.19 WC
% PrfWatch: 56.92 CPU 58.19 WC
% PrfWatch: 58.92 CPU 60.19 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(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)=real_zero))&![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_leq(X1,n))&int_leq(int_one,X2))&int_leq(X2,n))=>(((int_less(X1,X2)=>a(X1,X2)=real_zero)&(int_less(X2,X1)=>a(X1,X2)=real_zero))&(X1=X2=>a(X1,X2)=real_one))),file('/tmp/SRASS.s.p', diag)).
% fof(14, negated_conjecture,~(![X1]:![X2]:((((int_leq(int_one,X1)&int_leq(X1,n))&int_leq(int_one,X2))&int_leq(X2,n))=>(((int_less(X1,X2)=>a(X1,X2)=real_zero)&(int_less(X2,X1)=>a(X1,X2)=real_zero))&(X1=X2=>a(X1,X2)=real_one)))),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)=real_zero))&![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(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])).
% 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_leq(X1,n))&int_leq(int_one,X2))&int_leq(X2,n))&(((int_less(X1,X2)&~(a(X1,X2)=real_zero))|(int_less(X2,X1)&~(a(X1,X2)=real_zero)))|(X1=X2&~(a(X1,X2)=real_one)))),inference(fof_nnf,[status(thm)],[14])).
% fof(56, negated_conjecture,?[X3]:?[X4]:((((int_leq(int_one,X3)&int_leq(X3,n))&int_leq(int_one,X4))&int_leq(X4,n))&(((int_less(X3,X4)&~(a(X3,X4)=real_zero))|(int_less(X4,X3)&~(a(X3,X4)=real_zero)))|(X3=X4&~(a(X3,X4)=real_one)))),inference(variable_rename,[status(thm)],[55])).
% fof(57, negated_conjecture,((((int_leq(int_one,esk2_0)&int_leq(esk2_0,n))&int_leq(int_one,esk3_0))&int_leq(esk
% PrfWatch: 60.91 CPU 62.20 WC
% # Cannot determine problem status: Terminated by signal. Cleaning up
% /home/graph/tptp/Systems/EP---1.2/eproof: line 62: kill: (-8649) - No such process
% 3_0,n))&(((int_less(esk2_0,esk3_0)&~(a(esk2_0,esk3_0)=real_zero))|(int_less(esk3_0,esk2_0)&~(a(esk2_0,esk3_0)=real_zero)))|(esk2_0=esk3_0&~(a(esk2_0,esk3_0)=real_one)))),inference(skolemize,[status(esa)],[56])).
% fof(58, negated_conjecture,((((int_leq(int_one,esk2_0)&int_leq(esk2_0,n))&int_leq(int_one,esk3_0))&int_leq(esk3_0,n))&((((esk2_0=esk3_0|(int_less(esk3_0,esk2_0)|int_less(esk2_0,esk3_0)))&(~(a(esk2_0,esk3_0)=real_one)|(int_less(esk3_0,esk2_0)|int_less(esk2_0,esk3_0))))&((esk2_0=esk3_0|(~(a(esk2_0,esk3_0)=real_zero)|int_less(esk2_0,esk3_0)))&(~(a(esk2_0,esk3_0)=real_one)|(~(a(esk2_0,esk3_0)=real_zero)|int_less(esk2_0,esk3_0)))))&(((esk2_0=esk3_0|(int_less(esk3_0,esk2_0)|~(a(esk2_0,esk3_0)=real_zero)))&(~(a(esk2_0,esk3_0)=real_one)|(int_less(esk3_0,esk2_0)|~(a(esk2_0,esk3_0)=real_zero))))&((esk2_0=esk3_0|(~(a(esk2_0,esk3_0)=real_zero)|~(a(esk2_0,esk3_0)=real_zero)))&(~(a(esk2_0,esk3_0)=real_one)|(~(a(esk2_0,esk3_0)=real_zero)|~(a(esk2_0,esk3_0)=real_zero))))))),inference(distribute,[status(thm)],[57])).
% cnf(60,negated_conjecture,(esk2_0=esk3_0|a(esk2_0,esk3_0)!=real_zero|a(esk2_0,esk3_0)!=real_zero),inference(split_conjunct,[status(thm)],[58])).
% cnf(65,negated_conjecture,(int_less(esk2_0,esk3_0)|int_less(esk3_0,esk2_0)|a(esk2_0,esk3_0)!=real_one),inference(split_conjunct,[status(thm)],[58])).
% cnf(66,negated_conjecture,(int_less(esk2_0,esk3_0)|int_less(esk3_0,esk2_0)|esk2_0=esk3_0),inference(split_conjunct,[status(thm)],[58])).
% cnf(67,negated_conjecture,(int_leq(esk3_0,n)),inference(split_conjunct,[status(thm)],[58])).
% cnf(68,negated_conjecture,(int_leq(int_one,esk3_0)),inference(split_conjunct,[status(thm)],[58])).
% cnf(69,negated_conjecture,(int_leq(esk2_0,n)),inference(split_conjunct,[status(thm)],[58])).
% cnf(70,negated_conjecture,(int_leq(int_one,esk2_0)),inference(split_conjunct,[status(thm)],[58])).
% fof(71, 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)=real_zero))&![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(72, 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)=real_zero))&![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)],[71])).
% fof(73, 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)=real_zero)|(~(int_less(int_zero,X11))|~(X10=plus(X9,X11))))))|~(epred1_2(X10,X9))),inference(shift_quantors,[status(thm)],[72])).
% fof(74, 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)=real_zero)|(~(int_less(int_zero,X11))|~(X10=plus(X9,X11))))|~(epred1_2(X10,X9))))),inference(distribute,[status(thm)],[73])).
% cnf(75,plain,(a(plus(X4,X3),X4)=real_zero|~epred1_2(X1,X2)|X1!=plus(X2,X3)|~int_less(int_zero,X3)|~int_leq(X4,X2)|~int_leq(int_one,X4)),inference(split_conjunct,[status(thm)],[74])).
% cnf(76,plain,(a(X3,X3)=real_one|~epred1_2(X1,X2)|~int_leq(X3,X2)|~int_leq(int_one,X3)),inference(split_conjunct,[status(thm)],[74])).
% cnf(77,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)],[74])).
% 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(85,negated_conjecture,(int_less(int_zero,esk3_0)),inference(spm,[status(thm)],[49,68,theory(equality)])).
% cnf(91,negated_conjecture,(esk3_0=n|int_less(esk3_0,n)),inference(spm,[status(thm)],[22,67,theory(equality)])).
% cnf(92,negated_conjecture,(esk2_0=n|int_less(esk2_0,n)),inference(spm,[status(thm)],[22,69,theory(equality)])).
% cnf(93,negated_conjecture,(int_one=esk3_0|int_less(int_one,esk3_0)),inference(spm,[status(thm)],[22,68,theory(equality)])).
% cnf(94,negated_conjecture,(int_one=esk2_0|int_less(int_one,esk2_0)),inference(spm,[status(thm)],[22,70,theory(equality)])).
% cnf(97,plain,(X1=X2|int_less(X1,X2)|int_less(X2,X1)),inference(spm,[status(thm)],[22,30,theory(equality)])).
% cnf(98,negated_conjecture,(int_less(X1,esk2_0)|esk3_0=esk2_0|int_less(esk2_0,esk3_0)|~int_less(X1,esk3_0)),inference(spm,[status(thm)],[25,66,theory(equality)])).
% cnf(101,plain,(plus(int_zero,X1)=X1),inference(spm,[status(thm)],[35,33,theory(equality)])).
% cnf(103,plain,(int_less(X1,plus(X1,X2))|~int_less(int_zero,X2)),inference(er,[status(thm)],[46,theory(equality)])).
% cnf(105,plain,(int_less(X1,X2)|plus(X3,X1)!=X2|~int_less(int_zero,X3)),inference(spm,[status(thm)],[46,33,theory(equality)])).
% cnf(109,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)],[76,54,theory(equality)])).
% cnf(112,plain,(plus(X1,X2)=plus(X3,X4)|int_less(plus(X1,X2),plus(X3,X4))|~int_less(X1,X3)|~int_leq(X2,X4)),inference(spm,[status(thm)],[22,38,theory(equality)])).
% cnf(113,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(115,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(117,plain,(int_leq(X2,plus(X3,X4))|~int_less(X1,X3)|~int_leq(esk1_2(X1,X2),X4)|~int_less(X1,X2)),inference(spm,[status(thm)],[38,45,theory(equality)])).
% cnf(122,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)],[77,45,theory(equality)])).
% cnf(126,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)],[122,theory(equality)])).
% cnf(130,plain,(a(plus(X1,esk1_2(X2,X3)),X1)=real_zero|X3!=X4|~epred1_2(X4,X2)|~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)],[75,45,theory(equality)])).
% cnf(134,plain,(a(plus(X1,esk1_2(X2,X3)),X1)=real_zero|~epred1_2(X3,X2)|~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)],[130,theory(equality)])).
% cnf(138,negated_conjecture,(int_less(X1,n)|n=esk2_0|~int_less(X1,esk2_0)),inference(spm,[status(thm)],[25,92,theory(equality)])).
% cnf(139,negated_conjecture,(int_less(X1,esk3_0)|int_one=esk3_0|~int_less(X1,int_one)),inference(spm,[status(thm)],[25,93,theory(equality)])).
% cnf(214,negated_conjecture,(esk3_0=esk2_0|int_less(esk2_0,esk3_0)|int_less(X1,esk2_0)|X1=esk3_0|int_less(esk3_0,X1)),inference(spm,[status(thm)],[98,97,theory(equality)])).
% cnf(215,negated_conjecture,(int_one=esk3_0|int_less(X1,esk3_0)|X1=int_one|int_less(int_one,X1)),inference(spm,[status(thm)],[139,97,theory(equality)])).
% cnf(221,plain,(int_less(X1,X2)|X3=X2|int_less(X2,X3)|~int_less(X1,X3)),inference(spm,[status(thm)],[25,97,theory(equality)])).
% cnf(311,plain,(int_less(X1,plus(X2,X3))|~int_less(X1,X2)|~int_less(int_zero,X3)),inference(spm,[status(thm)],[25,103,theory(equality)])).
% cnf(357,plain,(int_less(esk1_2(X1,X2),X3)|X2!=X3|~int_less(int_zero,X1)|~int_less(X1,X2)),inference(spm,[status(thm)],[105,45,theory(equality)])).
% cnf(362,plain,(int_less(esk1_2(X1,X2),X2)|~int_less(int_zero,X1)|~int_less(X1,X2)),inference(er,[status(thm)],[357,theory(equality)])).
% cnf(405,negated_conjecture,(int_less(X1,esk2_0)|esk3_0=esk2_0|X2=esk3_0|int_less(esk2_0,esk3_0)|int_less(esk3_0,X2)|~int_less(X1,X2)),inference(spm,[status(thm)],[25,214,theory(equality)])).
% cnf(406,negated_conjecture,(int_less(X1,X2)|esk3_0=esk2_0|X2=esk3_0|int_less(esk2_0,esk3_0)|int_less(X2,esk2_0)|~int_less(X1,esk3_0)),inference(spm,[status(thm)],[25,214,theory(equality)])).
% cnf(429,negated_conjecture,(a(X1,X1)=real_one|~int_leq(int_one,X1)|~int_leq(X2,n)|~int_leq(int_one,esk2_0)|~int_leq(int_one,X2)|~int_leq(X1,esk2_0)),inference(spm,[status(thm)],[109,69,theory(equality)])).
% cnf(436,negated_conjecture,(a(X1,X1)=real_one|~int_leq(int_one,X1)|~int_leq(X2,n)|$false|~int_leq(int_one,X2)|~int_leq(X1,esk2_0)),inference(rw,[status(thm)],[429,70,theory(equality)])).
% cnf(437,negated_conjecture,(a(X1,X1)=real_one|~int_leq(int_one,X1)|~int_leq(X2,n)|~int_leq(int_one,X2)|~int_leq(X1,esk2_0)),inference(cn,[status(thm)],[436,theory(equality)])).
% cnf(500,plain,(plus(X1,X2)=X3|int_less(plus(X1,X2),X3)|~int_less(X1,X3)|~int_leq(X2,int_zero)),inference(spm,[status(thm)],[112,35,theory(equality)])).
% cnf(503,plain,(X1=plus(X2,X3)|int_less(X1,plus(X2,X3))|~int_less(int_zero,X2)|~int_leq(X1,X3)),inference(spm,[status(thm)],[112,101,theory(equality)])).
% cnf(526,plain,(int_leq(plus(X1,int_one),X2)|~int_less(X1,X3)|~int_less(X3,X2)|~int_less(int_zero,esk1_2(X3,X2))),inference(spm,[status(thm)],[113,50,theory(equality)])).
% cnf(595,plain,(int_leq(plus(X1,X2),X4)|~int_less(X1,esk1_2(X3,X4))|~int_leq(X2,X3)|~int_less(X3,X4)),inference(spm,[status(thm)],[115,45,theory(equality)])).
% cnf(649,plain,(int_leq(X1,plus(X2,X3))|int_less(X3,esk1_2(X4,X1))|~int_less(X4,X2)|~int_less(X4,X1)),inference(spm,[status(thm)],[117,30,theory(equality)])).
% cnf(923,plain,(a(X1,plus(X1,esk1_2(X2,X3)))=real_zero|~epred1_2(X2,X3)|~int_less(X2,X3)|~int_leq(int_one,X1)|~int_leq(X1,X2)),inference(csr,[status(thm)],[126,44])).
% cnf(927,plain,(a(X1,X2)=real_zero|~epred1_2(X1,X2)|~int_less(X1,X2)|~int_leq(int_one,X1)|~int_leq(X1,X1)),inference(spm,[status(thm)],[923,45,theory(equality)])).
% cnf(928,plain,(a(X1,X2)=real_zero|~epred1_2(X1,X2)|~int_less(X1,X2)|~int_leq(int_one,X1)|$false),inference(rw,[status(thm)],[927,83,theory(equality)])).
% cnf(929,plain,(a(X1,X2)=real_zero|~epred1_2(X1,X2)|~int_less(X1,X2)|~int_leq(int_one,X1)),inference(cn,[status(thm)],[928,theory(equality)])).
% cnf(1137,plain,(a(plus(X1,esk1_2(X2,X3)),X1)=real_zero|~epred1_2(X3,X2)|~int_less(X2,X3)|~int_leq(int_one,X1)|~int_leq(X1,X2)),inference(csr,[status(thm)],[134,44])).
% cnf(1141,plain,(a(X2,X1)=real_zero|~epred1_2(X2,X1)|~int_less(X1,X2)|~int_leq(int_one,X1)|~int_leq(X1,X1)),inference(spm,[status(thm)],[1137,45,theory(equality)])).
% cnf(1142,plain,(a(X2,X1)=real_zero|~epred1_2(X2,X1)|~int_less(X1,X2)|~int_leq(int_one,X1)|$false),inference(rw,[status(thm)],[1141,83,theory(equality)])).
% cnf(1143,plain,(a(X2,X1)=real_zero|~epred1_2(X2,X1)|~int_less(X1,X2)|~int_leq(int_one,X1)),inference(cn,[status(thm)],[1142,theory(equality)])).
% cnf(1591,negated_conjecture,(esk2_0=X1|int_less(X1,esk2_0)|int_less(int_one,X1)|int_one=esk2_0),inference(spm,[status(thm)],[221,94,theory(equality)])).
% cnf(2388,plain,(~int_less(int_zero,X2)|~int_less(plus(X1,X2),X1)),inference(spm,[status(thm)],[82,311,theory(equality)])).
% cnf(3363,negated_conjecture,(esk3_0=esk2_0|X1=esk3_0|int_less(esk2_0,esk3_0)|int_less(X1,esk2_0)|int_less(esk1_2(X2,esk3_0),X1)|~int_less(int_zero,X2)|~int_less(X2,esk3_0)),inference(spm,[status(thm)],[406,362,theory(equality)])).
% cnf(3742,negated_conjecture,(a(X1,X1)=real_one|~int_leq(int_one,X1)|~int_leq(int_one,esk3_0)|~int_leq(X1,esk2_0)),inference(spm,[status(thm)],[437,67,theory(equality)])).
% cnf(3753,negated_conjecture,(a(X1,X1)=real_one|~int_leq(int_one,X1)|$false|~int_leq(X1,esk2_0)),inference(rw,[status(thm)],[3742,68,theory(equality)])).
% cnf(3754,negated_conjecture,(a(X1,X1)=real_one|~int_leq(int_one,X1)|~int_leq(X1,esk2_0)),inference(cn,[status(thm)],[3753,theory(equality)])).
% cnf(5631,plain,(int_leq(plus(X1,int_one),X2)|~int_less(X1,X3)|~int_less(X3,X2)),inference(csr,[status(thm)],[526,44])).
% cnf(5644,negated_conjecture,(int_leq(plus(int_one,int_one),X1)|int_one=esk3_0|~int_less(esk3_0,X1)),inference(spm,[status(thm)],[5631,93,theory(equality)])).
% cnf(5654,negated_conjecture,(int_leq(plus(int_one,int_one),X1)|int_one=esk3_0|X2=int_one|int_less(X2,esk3_0)|~int_less(X2,X1)),inference(spm,[status(thm)],[5631,215,theory(equality)])).
% cnf(5661,negated_conjecture,(int_leq(plus(int_one,int_one),X1)|int_one=esk2_0|esk2_0=X2|int_less(X2,esk2_0)|~int_less(X2,X1)),inference(spm,[status(thm)],[5631,1591,theory(equality)])).
% cnf(7669,plain,(int_leq(plus(int_zero,X1),X2)|~int_less(X3,X2)|~int_leq(X1,X3)),inference(spm,[status(thm)],[595,44,theory(equality)])).
% cnf(7674,plain,(int_leq(X1,X2)|~int_less(X3,X2)|~int_leq(X1,X3)),inference(rw,[status(thm)],[7669,101,theory(equality)])).
% cnf(8366,negated_conjecture,(int_less(X1,esk1_2(int_one,X2))|int_leq(X2,plus(esk3_0,X1))|int_one=esk3_0|~int_less(int_one,X2)),inference(spm,[status(thm)],[649,93,theory(equality)])).
% cnf(10116,plain,(~int_less(X2,X1)|~int_less(int_zero,esk1_2(X1,X2))|~int_less(X1,X2)),inference(spm,[status(thm)],[2388,45,theory(equality)])).
% cnf(10143,negated_conjecture,(n=esk2_0|~int_less(int_zero,X1)|~int_less(plus(n,X1),esk2_0)),inference(spm,[status(thm)],[2388,138,theory(equality)])).
% cnf(10205,negated_conjecture,(n=esk2_0|~int_less(X1,esk2_0)|~int_less(int_zero,esk1_2(n,X1))|~int_less(n,X1)),inference(spm,[status(thm)],[10143,45,theory(equality)])).
% cnf(10207,negated_conjecture,(n=esk2_0|~int_less(plus(X1,n),esk2_0)|~int_less(int_zero,X1)),inference(spm,[status(thm)],[10143,33,theory(equality)])).
% cnf(10259,negated_conjecture,(n=esk2_0|plus(X1,n)=esk2_0|~int_less(int_zero,X1)|~int_less(X1,esk2_0)|~int_leq(n,int_zero)),inference(spm,[status(thm)],[10207,500,theory(equality)])).
% cnf(11743,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)],[929,54,theory(equality)])).
% cnf(11762,negated_conjecture,(n=esk2_0|~int_less(n,X1)|~int_less(X1,esk2_0)),inference(csr,[status(thm)],[10205,44])).
% cnf(15235,plain,(a(X1,X2)=real_zero|~int_less(X2,X1)|~int_leq(int_one,X2)|~int_leq(X2,n)|~int_leq(X1,n)|~int_leq(int_one,X1)),inference(spm,[status(thm)],[1143,54,theory(equality)])).
% cnf(88842,negated_conjecture,(n=esk2_0|esk3_0=esk2_0|int_less(esk2_0,esk3_0)|int_less(esk2_0,esk2_0)|~int_less(n,esk1_2(X1,esk3_0))|~int_less(int_zero,X1)|~int_less(X1,esk3_0)),inference(spm,[status(thm)],[11762,3363,theory(equality)])).
% cnf(88988,negated_conjecture,(n=esk2_0|esk3_0=esk2_0|int_less(esk2_0,esk3_0)|~int_less(n,esk1_2(X1,esk3_0))|~int_less(int_zero,X1)|~int_less(X1,esk3_0)),inference(sr,[status(thm)],[88842,82,theory(equality)])).
% cnf(195467,negated_conjecture,(int_one=esk2_0|esk2_0=esk3_0|int_less(esk3_0,esk2_0)|int_leq(plus(int_one,int_one),n)|n=esk3_0),inference(spm,[status(thm)],[5661,91,theory(equality)])).
% cnf(196134,negated_conjecture,(plus(int_one,int_one)=n|int_less(plus(int_one,int_one),n)|n=esk3_0|esk3_0=esk2_0|int_one=esk2_0|int_less(esk3_0,esk2_0)),inference(spm,[status(thm)],[22,195467,theory(equality)])).
% cnf(403748,negated_conjecture,(esk3_0=esk2_0|n=esk2_0|int_less(esk2_0,esk3_0)|int_one=esk3_0|int_leq(esk3_0,plus(esk3_0,n))|~int_less(int_zero,int_one)|~int_less(int_one,esk3_0)),inference(spm,[status(thm)],[88988,8366,theory(equality)])).
% cnf(404029,negated_conjecture,(esk3_0=esk2_0|n=esk2_0|int_less(esk2_0,esk3_0)|int_one=esk3_0|int_leq(esk3_0,plus(esk3_0,n))|$false|~int_less(int_one,esk3_0)),inference(rw,[status(thm)],[403748,31,theory(equality)])).
% cnf(404030,negated_conjecture,(esk3_0=esk2_0|n=esk2_0|int_less(esk2_0,esk3_0)|int_one=esk3_0|int_leq(esk3_0,plus(esk3_0,n))|~int_less(int_one,esk3_0)),inference(cn,[status(thm)],[404029,theory(equality)])).
% cnf(406434,negated_conjecture,(esk3_0=esk2_0|n=esk2_0|int_one=esk3_0|int_less(esk2_0,esk3_0)|int_leq(esk3_0,plus(esk3_0,n))),inference(csr,[status(thm)],[404030,93])).
% cnf(406435,negated_conjecture,(esk3_0=plus(esk3_0,n)|int_less(esk3_0,plus(esk3_0,n))|int_one=esk3_0|n=esk2_0|esk3_0=esk2_0|int_less(esk2_0,esk3_0)),inference(spm,[status(thm)],[22,406434,theory(equality)])).
% cnf(414101,negated_conjecture,(int_one=esk3_0|int_less(esk3_0,esk3_0)|int_leq(plus(int_one,int_one),plus(esk3_0,n))|plus(esk3_0,n)=esk3_0|esk3_0=esk2_0|n=esk2_0|int_less(esk2_0,esk3_0)),inference(spm,[status(thm)],[5654,406435,theory(equality)])).
% cnf(414312,negated_conjecture,(int_one=esk3_0|int_leq(plus(int_one,int_one),plus(esk3_0,n))|plus(esk3_0,n)=esk3_0|esk3_0=esk2_0|n=esk2_0|int_less(esk2_0,esk3_0)),inference(sr,[status(thm)],[414101,82,theory(equality)])).
% cnf(566068,plain,(~int_less(X1,X2)|~int_less(X2,X1)),inference(csr,[status(thm)],[10116,44])).
% cnf(566248,negated_conjecture,(plus(int_one,int_one)=n|int_one=esk2_0|esk3_0=esk2_0|n=esk3_0|int_less(esk3_0,esk2_0)|~int_less(n,plus(int_one,int_one))),inference(spm,[status(thm)],[566068,196134,theory(equality)])).
% cnf(593932,negated_conjecture,(esk2_0=esk3_0|n=esk2_0|int_one=esk3_0|int_less(esk2_0,esk3_0)|int_leq(plus(int_one,int_one),esk2_0)|~int_less(int_zero,esk3_0)|~int_less(esk3_0,esk2_0)|~int_leq(n,int_zero)),inference(spm,[status(thm)],[414312,10259,theory(equality)])).
% cnf(594452,negated_conjecture,(esk2_0=esk3_0|n=esk2_0|int_one=esk3_0|int_less(esk2_0,esk3_0)|int_leq(plus(int_one,int_one),esk2_0)|$false|~int_less(esk3_0,esk2_0)|~int_leq(n,int_zero)),inference(rw,[status(thm)],[593932,85,theory(equality)])).
% cnf(594453,negated_conjecture,(esk2_0=esk3_0|n=esk2_0|int_one=esk3_0|int_less(esk2_0,esk3_0)|int_leq(plus(int_one,int_one),esk2_0)|~int_less(esk3_0,esk2_0)|~int_leq(n,int_zero)),inference(cn,[status(thm)],[594452,theory(equality)])).
% cnf(596727,negated_conjecture,(plus(int_one,int_one)=n|n=esk3_0|esk3_0=esk2_0|int_one=esk2_0|int_less(esk3_0,esk2_0)|~int_less(int_zero,int_one)|~int_leq(n,int_one)),inference(spm,[status(thm)],[566248,503,theory(equality)])).
% cnf(596741,negated_conjecture,(plus(int_one,int_one)=n|n=esk3_0|esk3_0=esk2_0|int_one=esk2_0|int_less(esk3_0,esk2_0)|$false|~int_leq(n,int_one)),inference(rw,[status(thm)],[596727,31,theory(equality)])).
% cnf(596742,negated_conjecture,(plus(int_one,int_one)=n|n=esk3_0|esk3_0=esk2_0|int_one=esk2_0|int_less(esk3_0,esk2_0)|~int_leq(n,int_one)),inference(cn,[status(thm)],[596741,theory(equality)])).
% cnf(671965,negated_conjecture,(esk3_0=esk2_0|n=esk2_0|int_one=esk3_0|int_less(esk2_0,esk3_0)|int_leq(plus(int_one,int_one),esk2_0)|~int_less(esk3_0,esk2_0)),inference(csr,[status(thm)],[594453,5644])).
% cnf(671966,negated_conjecture,(esk3_0=esk2_0|n=esk2_0|int_one=esk3_0|int_less(esk2_0,esk3_0)|int_leq(plus(int_one,int_one),esk2_0)),inference(csr,[status(thm)],[671965,97])).
% cnf(672118,negated_conjecture,(int_one=esk3_0|n=esk2_0|esk3_0=esk2_0|int_less(esk2_0,esk3_0)|int_leq(n,esk2_0)|int_one=esk2_0|n=esk3_0|int_less(esk3_0,esk2_0)|~int_leq(n,int_one)),inference(spm,[status(thm)],[671966,596742,theory(equality)])).
% cnf(672218,plain,(a(X1,X2)=real_zero|~int_less(X1,X2)|~int_leq(int_one,X1)|~int_leq(X2,n)|~int_leq(X1,n)),inference(csr,[status(thm)],[11743,7674])).
% cnf(672221,negated_conjecture,(esk3_0=esk2_0|~int_less(esk2_0,esk3_0)|~int_leq(int_one,esk2_0)|~int_leq(esk3_0,n)|~int_leq(esk2_0,n)),inference(spm,[status(thm)],[60,672218,theory(equality)])).
% cnf(672244,negated_conjecture,(esk3_0=esk2_0|~int_less(esk2_0,esk3_0)|$false|~int_leq(esk3_0,n)|~int_leq(esk2_0,n)),inference(rw,[status(thm)],[672221,70,theory(equality)])).
% cnf(672245,negated_conjecture,(esk3_0=esk2_0|~int_less(esk2_0,esk3_0)|$false|$false|~int_leq(esk2_0,n)),inference(rw,[status(thm)],[672244,67,theory(equality)])).
% cnf(672246,negated_conjecture,(esk3_0=esk2_0|~int_less(esk2_0,esk3_0)|$false|$false|$false),inference(rw,[status(thm)],[672245,69,theory(equality)])).
% cnf(672247,negated_conjecture,(esk3_0=esk2_0|~int_less(esk2_0,esk3_0)),inference(cn,[status(thm)],[672246,theory(equality)])).
% cnf(672274,negated_conjecture,(int_one=esk3_0|n=esk2_0|esk3_0=esk2_0|int_one=esk2_0|n=esk3_0|int_less(esk2_0,esk3_0)|int_less(esk3_0,esk2_0)|int_leq(n,esk2_0)),inference(csr,[status(thm)],[672118,97])).
% cnf(672275,negated_conjecture,(int_one=esk3_0|n=esk2_0|esk3_0=esk2_0|int_one=esk2_0|int_less(esk2_0,esk3_0)|int_less(esk3_0,esk2_0)|int_leq(n,esk2_0)),inference(csr,[status(thm)],[672274,97])).
% cnf(672276,negated_conjecture,(int_one=esk3_0|n=esk2_0|esk3_0=esk2_0|int_less(esk2_0,esk3_0)|int_less(esk3_0,esk2_0)|int_leq(n,esk2_0)),inference(csr,[status(thm)],[672275,97])).
% cnf(672277,negated_conjecture,(int_one=esk3_0|n=esk2_0|esk3_0=esk2_0|int_less(esk2_0,esk3_0)|int_less(esk3_0,esk2_0)),inference(csr,[status(thm)],[672276,97])).
% cnf(672278,negated_conjecture,(int_one=esk3_0|n=esk2_0|esk3_0=esk2_0|int_less(esk3_0,esk2_0)),inference(csr,[status(thm)],[672277,672247])).
% cnf(672321,negated_conjecture,(esk3_0=esk2_0|int_less(esk2_0,esk3_0)|int_less(esk3_0,esk2_0)|n=esk2_0|int_one=esk3_0),inference(spm,[status(thm)],[405,672278,theory(equality)])).
% cnf(673631,negated_conjecture,(esk3_0=esk2_0|n=esk2_0|int_less(esk2_0,esk3_0)|int_less(esk3_0,esk2_0)),inference(csr,[status(thm)],[672321,97])).
% cnf(673632,negated_conjecture,(esk3_0=esk2_0|int_less(esk2_0,esk3_0)|int_less(esk3_0,esk2_0)),inference(csr,[status(thm)],[673631,97])).
% cnf(673633,negated_conjecture,(esk3_0=esk2_0|int_less(esk3_0,esk2_0)),inference(csr,[status(thm)],[673632,672247])).
% cnf(950570,plain,(a(X1,X2)=real_zero|~int_less(X2,X1)|~int_leq(int_one,X2)|~int_leq(X2,n)|~int_leq(X1,n)),inference(csr,[status(thm)],[15235,7674])).
% cnf(950574,negated_conjecture,(esk3_0=esk2_0|~int_less(esk3_0,esk2_0)|~int_leq(int_one,esk3_0)|~int_leq(esk3_0,n)|~int_leq(esk2_0,n)),inference(spm,[status(thm)],[60,950570,theory(equality)])).
% cnf(950601,negated_conjecture,(esk3_0=esk2_0|~int_less(esk3_0,esk2_0)|$false|~int_leq(esk3_0,n)|~int_leq(esk2_0,n)),inference(rw,[status(thm)],[950574,68,theory(equality)])).
% cnf(950602,negated_conjecture,(esk3_0=esk2_0|~int_less(esk3_0,esk2_0)|$false|$false|~int_leq(esk2_0,n)),inference(rw,[status(thm)],[950601,67,theory(equality)])).
% cnf(950603,negated_conjecture,(esk3_0=esk2_0|~int_less(esk3_0,esk2_0)|$false|$false|$false),inference(rw,[status(thm)],[950602,69,theory(equality)])).
% cnf(950604,negated_conjecture,(esk3_0=esk2_0|~int_less(esk3_0,esk2_0)),inference(cn,[status(thm)],[950603,theory(equality)])).
% cnf(950631,negated_conjecture,(esk3_0=esk2_0),inference(csr,[status(thm)],[950604,673633])).
% cnf(953816,negated_conjecture,(int_less(esk2_0,esk2_0)|int_less(esk3_0,esk2_0)|a(esk2_0,esk3_0)!=real_one),inference(rw,[status(thm)],[65,950631,theory(equality)])).
% cnf(953817,negated_conjecture,(int_less(esk2_0,esk2_0)|int_less(esk2_0,esk2_0)|a(esk2_0,esk3_0)!=real_one),inference(rw,[status(thm)],[953816,950631,theory(equality)])).
% cnf(953818,negated_conjecture,(int_less(esk2_0,esk2_0)|int_less(esk2_0,esk2_0)|a(esk2_0,esk2_0)!=real_one),inference(rw,[status(thm)],[953817,950631,theory(equality)])).
% cnf(953819,negated_conjecture,(int_less(esk2_0,esk2_0)|a(esk2_0,esk2_0)!=real_one),inference(cn,[status(thm)],[953818,theory(equality)])).
% cnf(953820,negated_conjecture,(a(esk2_0,esk2_0)!=real_one),inference(sr,[status(thm)],[953819,82,theory(equality)])).
% cnf(953829,negated_conjecture,(~int_leq(int_one,esk2_0)|~int_leq(esk2_0,esk2_0)),inference(spm,[status(thm)],[953820,3754,theory(equality)])).
% cnf(953840,negated_conjecture,($false|~int_leq(esk2_0,esk2_0)),inference(rw,[status(thm)],[953829,70,theory(equality)])).
% cnf(953841,negated_conjecture,($false|$false),inference(rw,[status(thm)],[953840,83,theory(equality)])).
% cnf(953842,negated_conjecture,($false),inference(cn,[status(thm)],[953841,theory(equality)])).
% cnf(953843,negated_conjecture,($false),953842,['proof']).
% # SZS output end CNFRefutation
% FINAL PrfWatch: 60.91 CPU 62.43 WC
% SZS output end Solution for /tmp/SystemOnTPTP8551/SWV491+3.tptp
%
%------------------------------------------------------------------------------