TSTP Solution File: KLE029+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : KLE029+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 : art01.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 : Wed Dec 29 07:37:53 EST 2010
% Result : Theorem 1.16s
% Output : Solution 1.16s
% 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/SystemOnTPTP26617/KLE029+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP26617/KLE029+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP26617/KLE029+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 26713
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.012 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:![X3]:(ismeet(X3,X1,X2)<=>((leq(X3,X1)&leq(X3,X2))&![X4]:((leq(X4,X1)&leq(X4,X2))=>leq(X4,X3)))),file('/tmp/SRASS.s.p', ismeet)).
% fof(2, axiom,![X1]:![X2]:![X3]:(ismeetu(X3,X1,X2)<=>![X4]:((leq(X4,X1)&leq(X4,X2))<=>leq(X4,X3))),file('/tmp/SRASS.s.p', ismeetu)).
% fof(3, axiom,![X5]:![X6]:addition(X5,X6)=addition(X6,X5),file('/tmp/SRASS.s.p', additive_commutativity)).
% fof(4, axiom,![X7]:![X6]:![X5]:addition(X5,addition(X6,X7))=addition(addition(X5,X6),X7),file('/tmp/SRASS.s.p', additive_associativity)).
% fof(5, axiom,![X5]:addition(X5,X5)=X5,file('/tmp/SRASS.s.p', additive_idempotence)).
% fof(6, axiom,![X5]:![X6]:(leq(X5,X6)<=>addition(X5,X6)=X6),file('/tmp/SRASS.s.p', order)).
% fof(15, conjecture,![X1]:![X2]:![X3]:(ismeet(X1,X2,X3)<=>ismeetu(X1,X2,X3)),file('/tmp/SRASS.s.p', goals)).
% fof(16, negated_conjecture,~(![X1]:![X2]:![X3]:(ismeet(X1,X2,X3)<=>ismeetu(X1,X2,X3))),inference(assume_negation,[status(cth)],[15])).
% fof(17, plain,![X1]:![X2]:![X3]:((~(ismeet(X3,X1,X2))|((leq(X3,X1)&leq(X3,X2))&![X4]:((~(leq(X4,X1))|~(leq(X4,X2)))|leq(X4,X3))))&(((~(leq(X3,X1))|~(leq(X3,X2)))|?[X4]:((leq(X4,X1)&leq(X4,X2))&~(leq(X4,X3))))|ismeet(X3,X1,X2))),inference(fof_nnf,[status(thm)],[1])).
% fof(18, plain,![X5]:![X6]:![X7]:((~(ismeet(X7,X5,X6))|((leq(X7,X5)&leq(X7,X6))&![X8]:((~(leq(X8,X5))|~(leq(X8,X6)))|leq(X8,X7))))&(((~(leq(X7,X5))|~(leq(X7,X6)))|?[X9]:((leq(X9,X5)&leq(X9,X6))&~(leq(X9,X7))))|ismeet(X7,X5,X6))),inference(variable_rename,[status(thm)],[17])).
% fof(19, plain,![X5]:![X6]:![X7]:((~(ismeet(X7,X5,X6))|((leq(X7,X5)&leq(X7,X6))&![X8]:((~(leq(X8,X5))|~(leq(X8,X6)))|leq(X8,X7))))&(((~(leq(X7,X5))|~(leq(X7,X6)))|((leq(esk1_3(X5,X6,X7),X5)&leq(esk1_3(X5,X6,X7),X6))&~(leq(esk1_3(X5,X6,X7),X7))))|ismeet(X7,X5,X6))),inference(skolemize,[status(esa)],[18])).
% fof(20, plain,![X5]:![X6]:![X7]:![X8]:(((((~(leq(X8,X5))|~(leq(X8,X6)))|leq(X8,X7))&(leq(X7,X5)&leq(X7,X6)))|~(ismeet(X7,X5,X6)))&(((~(leq(X7,X5))|~(leq(X7,X6)))|((leq(esk1_3(X5,X6,X7),X5)&leq(esk1_3(X5,X6,X7),X6))&~(leq(esk1_3(X5,X6,X7),X7))))|ismeet(X7,X5,X6))),inference(shift_quantors,[status(thm)],[19])).
% fof(21, plain,![X5]:![X6]:![X7]:![X8]:(((((~(leq(X8,X5))|~(leq(X8,X6)))|leq(X8,X7))|~(ismeet(X7,X5,X6)))&((leq(X7,X5)|~(ismeet(X7,X5,X6)))&(leq(X7,X6)|~(ismeet(X7,X5,X6)))))&((((leq(esk1_3(X5,X6,X7),X5)|(~(leq(X7,X5))|~(leq(X7,X6))))|ismeet(X7,X5,X6))&((leq(esk1_3(X5,X6,X7),X6)|(~(leq(X7,X5))|~(leq(X7,X6))))|ismeet(X7,X5,X6)))&((~(leq(esk1_3(X5,X6,X7),X7))|(~(leq(X7,X5))|~(leq(X7,X6))))|ismeet(X7,X5,X6)))),inference(distribute,[status(thm)],[20])).
% cnf(22,plain,(ismeet(X1,X2,X3)|~leq(X1,X3)|~leq(X1,X2)|~leq(esk1_3(X2,X3,X1),X1)),inference(split_conjunct,[status(thm)],[21])).
% cnf(23,plain,(ismeet(X1,X2,X3)|leq(esk1_3(X2,X3,X1),X3)|~leq(X1,X3)|~leq(X1,X2)),inference(split_conjunct,[status(thm)],[21])).
% cnf(24,plain,(ismeet(X1,X2,X3)|leq(esk1_3(X2,X3,X1),X2)|~leq(X1,X3)|~leq(X1,X2)),inference(split_conjunct,[status(thm)],[21])).
% cnf(25,plain,(leq(X1,X3)|~ismeet(X1,X2,X3)),inference(split_conjunct,[status(thm)],[21])).
% cnf(26,plain,(leq(X1,X2)|~ismeet(X1,X2,X3)),inference(split_conjunct,[status(thm)],[21])).
% cnf(27,plain,(leq(X4,X1)|~ismeet(X1,X2,X3)|~leq(X4,X3)|~leq(X4,X2)),inference(split_conjunct,[status(thm)],[21])).
% fof(28, plain,![X1]:![X2]:![X3]:((~(ismeetu(X3,X1,X2))|![X4]:(((~(leq(X4,X1))|~(leq(X4,X2)))|leq(X4,X3))&(~(leq(X4,X3))|(leq(X4,X1)&leq(X4,X2)))))&(?[X4]:(((~(leq(X4,X1))|~(leq(X4,X2)))|~(leq(X4,X3)))&((leq(X4,X1)&leq(X4,X2))|leq(X4,X3)))|ismeetu(X3,X1,X2))),inference(fof_nnf,[status(thm)],[2])).
% fof(29, plain,![X5]:![X6]:![X7]:((~(ismeetu(X7,X5,X6))|![X8]:(((~(leq(X8,X5))|~(leq(X8,X6)))|leq(X8,X7))&(~(leq(X8,X7))|(leq(X8,X5)&leq(X8,X6)))))&(?[X9]:(((~(leq(X9,X5))|~(leq(X9,X6)))|~(leq(X9,X7)))&((leq(X9,X5)&leq(X9,X6))|leq(X9,X7)))|ismeetu(X7,X5,X6))),inference(variable_rename,[status(thm)],[28])).
% fof(30, plain,![X5]:![X6]:![X7]:((~(ismeetu(X7,X5,X6))|![X8]:(((~(leq(X8,X5))|~(leq(X8,X6)))|leq(X8,X7))&(~(leq(X8,X7))|(leq(X8,X5)&leq(X8,X6)))))&((((~(leq(esk2_3(X5,X6,X7),X5))|~(leq(esk2_3(X5,X6,X7),X6)))|~(leq(esk2_3(X5,X6,X7),X7)))&((leq(esk2_3(X5,X6,X7),X5)&leq(esk2_3(X5,X6,X7),X6))|leq(esk2_3(X5,X6,X7),X7)))|ismeetu(X7,X5,X6))),inference(skolemize,[status(esa)],[29])).
% fof(31, plain,![X5]:![X6]:![X7]:![X8]:(((((~(leq(X8,X5))|~(leq(X8,X6)))|leq(X8,X7))&(~(leq(X8,X7))|(leq(X8,X5)&leq(X8,X6))))|~(ismeetu(X7,X5,X6)))&((((~(leq(esk2_3(X5,X6,X7),X5))|~(leq(esk2_3(X5,X6,X7),X6)))|~(leq(esk2_3(X5,X6,X7),X7)))&((leq(esk2_3(X5,X6,X7),X5)&leq(esk2_3(X5,X6,X7),X6))|leq(esk2_3(X5,X6,X7),X7)))|ismeetu(X7,X5,X6))),inference(shift_quantors,[status(thm)],[30])).
% fof(32, plain,![X5]:![X6]:![X7]:![X8]:(((((~(leq(X8,X5))|~(leq(X8,X6)))|leq(X8,X7))|~(ismeetu(X7,X5,X6)))&(((leq(X8,X5)|~(leq(X8,X7)))|~(ismeetu(X7,X5,X6)))&((leq(X8,X6)|~(leq(X8,X7)))|~(ismeetu(X7,X5,X6)))))&((((~(leq(esk2_3(X5,X6,X7),X5))|~(leq(esk2_3(X5,X6,X7),X6)))|~(leq(esk2_3(X5,X6,X7),X7)))|ismeetu(X7,X5,X6))&(((leq(esk2_3(X5,X6,X7),X5)|leq(esk2_3(X5,X6,X7),X7))|ismeetu(X7,X5,X6))&((leq(esk2_3(X5,X6,X7),X6)|leq(esk2_3(X5,X6,X7),X7))|ismeetu(X7,X5,X6))))),inference(distribute,[status(thm)],[31])).
% cnf(33,plain,(ismeetu(X1,X2,X3)|leq(esk2_3(X2,X3,X1),X1)|leq(esk2_3(X2,X3,X1),X3)),inference(split_conjunct,[status(thm)],[32])).
% cnf(34,plain,(ismeetu(X1,X2,X3)|leq(esk2_3(X2,X3,X1),X1)|leq(esk2_3(X2,X3,X1),X2)),inference(split_conjunct,[status(thm)],[32])).
% cnf(35,plain,(ismeetu(X1,X2,X3)|~leq(esk2_3(X2,X3,X1),X1)|~leq(esk2_3(X2,X3,X1),X3)|~leq(esk2_3(X2,X3,X1),X2)),inference(split_conjunct,[status(thm)],[32])).
% cnf(36,plain,(leq(X4,X3)|~ismeetu(X1,X2,X3)|~leq(X4,X1)),inference(split_conjunct,[status(thm)],[32])).
% cnf(37,plain,(leq(X4,X2)|~ismeetu(X1,X2,X3)|~leq(X4,X1)),inference(split_conjunct,[status(thm)],[32])).
% cnf(38,plain,(leq(X4,X1)|~ismeetu(X1,X2,X3)|~leq(X4,X3)|~leq(X4,X2)),inference(split_conjunct,[status(thm)],[32])).
% fof(39, plain,![X7]:![X8]:addition(X7,X8)=addition(X8,X7),inference(variable_rename,[status(thm)],[3])).
% cnf(40,plain,(addition(X1,X2)=addition(X2,X1)),inference(split_conjunct,[status(thm)],[39])).
% fof(41, plain,![X8]:![X9]:![X10]:addition(X10,addition(X9,X8))=addition(addition(X10,X9),X8),inference(variable_rename,[status(thm)],[4])).
% cnf(42,plain,(addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3)),inference(split_conjunct,[status(thm)],[41])).
% fof(43, plain,![X6]:addition(X6,X6)=X6,inference(variable_rename,[status(thm)],[5])).
% cnf(44,plain,(addition(X1,X1)=X1),inference(split_conjunct,[status(thm)],[43])).
% fof(45, plain,![X5]:![X6]:((~(leq(X5,X6))|addition(X5,X6)=X6)&(~(addition(X5,X6)=X6)|leq(X5,X6))),inference(fof_nnf,[status(thm)],[6])).
% fof(46, plain,![X7]:![X8]:((~(leq(X7,X8))|addition(X7,X8)=X8)&(~(addition(X7,X8)=X8)|leq(X7,X8))),inference(variable_rename,[status(thm)],[45])).
% cnf(47,plain,(leq(X1,X2)|addition(X1,X2)!=X2),inference(split_conjunct,[status(thm)],[46])).
% cnf(48,plain,(addition(X1,X2)=X2|~leq(X1,X2)),inference(split_conjunct,[status(thm)],[46])).
% fof(65, negated_conjecture,?[X1]:?[X2]:?[X3]:((~(ismeet(X1,X2,X3))|~(ismeetu(X1,X2,X3)))&(ismeet(X1,X2,X3)|ismeetu(X1,X2,X3))),inference(fof_nnf,[status(thm)],[16])).
% fof(66, negated_conjecture,?[X4]:?[X5]:?[X6]:((~(ismeet(X4,X5,X6))|~(ismeetu(X4,X5,X6)))&(ismeet(X4,X5,X6)|ismeetu(X4,X5,X6))),inference(variable_rename,[status(thm)],[65])).
% fof(67, negated_conjecture,((~(ismeet(esk3_0,esk4_0,esk5_0))|~(ismeetu(esk3_0,esk4_0,esk5_0)))&(ismeet(esk3_0,esk4_0,esk5_0)|ismeetu(esk3_0,esk4_0,esk5_0))),inference(skolemize,[status(esa)],[66])).
% cnf(68,negated_conjecture,(ismeetu(esk3_0,esk4_0,esk5_0)|ismeet(esk3_0,esk4_0,esk5_0)),inference(split_conjunct,[status(thm)],[67])).
% cnf(69,negated_conjecture,(~ismeetu(esk3_0,esk4_0,esk5_0)|~ismeet(esk3_0,esk4_0,esk5_0)),inference(split_conjunct,[status(thm)],[67])).
% cnf(73,plain,(leq(X1,X1)),inference(spm,[status(thm)],[47,44,theory(equality)])).
% cnf(77,plain,(addition(X2,X1)=X2|~leq(X1,X2)),inference(spm,[status(thm)],[48,40,theory(equality)])).
% cnf(85,negated_conjecture,(leq(X1,esk5_0)|ismeet(esk3_0,esk4_0,esk5_0)|~leq(X1,esk3_0)),inference(spm,[status(thm)],[36,68,theory(equality)])).
% cnf(86,negated_conjecture,(leq(X1,esk4_0)|ismeet(esk3_0,esk4_0,esk5_0)|~leq(X1,esk3_0)),inference(spm,[status(thm)],[37,68,theory(equality)])).
% cnf(95,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[42,44,theory(equality)])).
% cnf(141,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|~ismeet(esk3_0,esk4_0,esk5_0)),inference(spm,[status(thm)],[69,33,theory(equality)])).
% cnf(144,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|~ismeet(esk3_0,esk4_0,esk5_0)),inference(spm,[status(thm)],[69,34,theory(equality)])).
% cnf(178,negated_conjecture,(leq(X1,esk3_0)|ismeet(esk3_0,esk4_0,esk5_0)|~leq(X1,esk5_0)|~leq(X1,esk4_0)),inference(spm,[status(thm)],[38,68,theory(equality)])).
% cnf(181,negated_conjecture,(~ismeet(esk3_0,esk4_0,esk5_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)),inference(spm,[status(thm)],[69,35,theory(equality)])).
% cnf(185,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0)|~leq(esk3_0,esk5_0)|~leq(esk3_0,esk4_0)),inference(spm,[status(thm)],[141,22,theory(equality)])).
% cnf(186,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|leq(esk1_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk3_0,esk5_0)|~leq(esk3_0,esk4_0)),inference(spm,[status(thm)],[141,23,theory(equality)])).
% cnf(187,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|leq(esk1_3(esk4_0,esk5_0,esk3_0),esk4_0)|~leq(esk3_0,esk5_0)|~leq(esk3_0,esk4_0)),inference(spm,[status(thm)],[141,24,theory(equality)])).
% cnf(188,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|~leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0)|~leq(esk3_0,esk5_0)|~leq(esk3_0,esk4_0)),inference(spm,[status(thm)],[144,22,theory(equality)])).
% cnf(189,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|leq(esk1_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk3_0,esk5_0)|~leq(esk3_0,esk4_0)),inference(spm,[status(thm)],[144,23,theory(equality)])).
% cnf(190,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|leq(esk1_3(esk4_0,esk5_0,esk3_0),esk4_0)|~leq(esk3_0,esk5_0)|~leq(esk3_0,esk4_0)),inference(spm,[status(thm)],[144,24,theory(equality)])).
% cnf(191,negated_conjecture,(~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|~ismeet(esk3_0,esk4_0,esk5_0)),inference(csr,[status(thm)],[181,27])).
% cnf(192,negated_conjecture,(~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|~leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0)|~leq(esk3_0,esk5_0)|~leq(esk3_0,esk4_0)),inference(spm,[status(thm)],[191,22,theory(equality)])).
% cnf(193,negated_conjecture,(leq(esk1_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|~leq(esk3_0,esk5_0)|~leq(esk3_0,esk4_0)),inference(spm,[status(thm)],[191,23,theory(equality)])).
% cnf(194,negated_conjecture,(leq(esk1_3(esk4_0,esk5_0,esk3_0),esk4_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|~leq(esk3_0,esk5_0)|~leq(esk3_0,esk4_0)),inference(spm,[status(thm)],[191,24,theory(equality)])).
% cnf(236,negated_conjecture,(leq(esk3_0,esk5_0)|ismeet(esk3_0,esk4_0,esk5_0)),inference(spm,[status(thm)],[85,73,theory(equality)])).
% cnf(238,negated_conjecture,(leq(esk3_0,esk5_0)),inference(csr,[status(thm)],[236,25])).
% cnf(239,negated_conjecture,(leq(esk1_3(esk4_0,esk5_0,esk3_0),esk4_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|$false|~leq(esk3_0,esk4_0)),inference(rw,[status(thm)],[194,238,theory(equality)])).
% cnf(240,negated_conjecture,(leq(esk1_3(esk4_0,esk5_0,esk3_0),esk4_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|~leq(esk3_0,esk4_0)),inference(cn,[status(thm)],[239,theory(equality)])).
% cnf(241,negated_conjecture,(leq(esk1_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|$false|~leq(esk3_0,esk4_0)),inference(rw,[status(thm)],[193,238,theory(equality)])).
% cnf(242,negated_conjecture,(leq(esk1_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|~leq(esk3_0,esk4_0)),inference(cn,[status(thm)],[241,theory(equality)])).
% cnf(243,negated_conjecture,(~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|~leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0)|$false|~leq(esk3_0,esk4_0)),inference(rw,[status(thm)],[192,238,theory(equality)])).
% cnf(244,negated_conjecture,(~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|~leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0)|~leq(esk3_0,esk4_0)),inference(cn,[status(thm)],[243,theory(equality)])).
% cnf(245,negated_conjecture,(leq(esk1_3(esk4_0,esk5_0,esk3_0),esk4_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|$false|~leq(esk3_0,esk4_0)),inference(rw,[status(thm)],[190,238,theory(equality)])).
% cnf(246,negated_conjecture,(leq(esk1_3(esk4_0,esk5_0,esk3_0),esk4_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|~leq(esk3_0,esk4_0)),inference(cn,[status(thm)],[245,theory(equality)])).
% cnf(247,negated_conjecture,(leq(esk1_3(esk4_0,esk5_0,esk3_0),esk5_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|$false|~leq(esk3_0,esk4_0)),inference(rw,[status(thm)],[189,238,theory(equality)])).
% cnf(248,negated_conjecture,(leq(esk1_3(esk4_0,esk5_0,esk3_0),esk5_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|~leq(esk3_0,esk4_0)),inference(cn,[status(thm)],[247,theory(equality)])).
% cnf(249,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|~leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0)|$false|~leq(esk3_0,esk4_0)),inference(rw,[status(thm)],[188,238,theory(equality)])).
% cnf(250,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|~leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0)|~leq(esk3_0,esk4_0)),inference(cn,[status(thm)],[249,theory(equality)])).
% cnf(251,negated_conjecture,(leq(esk1_3(esk4_0,esk5_0,esk3_0),esk4_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|$false|~leq(esk3_0,esk4_0)),inference(rw,[status(thm)],[187,238,theory(equality)])).
% cnf(252,negated_conjecture,(leq(esk1_3(esk4_0,esk5_0,esk3_0),esk4_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|~leq(esk3_0,esk4_0)),inference(cn,[status(thm)],[251,theory(equality)])).
% cnf(253,negated_conjecture,(leq(esk1_3(esk4_0,esk5_0,esk3_0),esk5_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|$false|~leq(esk3_0,esk4_0)),inference(rw,[status(thm)],[186,238,theory(equality)])).
% cnf(254,negated_conjecture,(leq(esk1_3(esk4_0,esk5_0,esk3_0),esk5_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|~leq(esk3_0,esk4_0)),inference(cn,[status(thm)],[253,theory(equality)])).
% cnf(255,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|~leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0)|$false|~leq(esk3_0,esk4_0)),inference(rw,[status(thm)],[185,238,theory(equality)])).
% cnf(256,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|~leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0)|~leq(esk3_0,esk4_0)),inference(cn,[status(thm)],[255,theory(equality)])).
% cnf(258,negated_conjecture,(leq(esk3_0,esk4_0)|ismeet(esk3_0,esk4_0,esk5_0)),inference(spm,[status(thm)],[86,73,theory(equality)])).
% cnf(260,negated_conjecture,(leq(esk3_0,esk4_0)),inference(csr,[status(thm)],[258,26])).
% cnf(261,negated_conjecture,(leq(esk1_3(esk4_0,esk5_0,esk3_0),esk4_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|$false),inference(rw,[status(thm)],[240,260,theory(equality)])).
% cnf(262,negated_conjecture,(leq(esk1_3(esk4_0,esk5_0,esk3_0),esk4_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)),inference(cn,[status(thm)],[261,theory(equality)])).
% cnf(263,negated_conjecture,(leq(esk1_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|$false),inference(rw,[status(thm)],[242,260,theory(equality)])).
% cnf(264,negated_conjecture,(leq(esk1_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)),inference(cn,[status(thm)],[263,theory(equality)])).
% cnf(265,negated_conjecture,(~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|~leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0)|$false),inference(rw,[status(thm)],[244,260,theory(equality)])).
% cnf(266,negated_conjecture,(~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|~leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0)),inference(cn,[status(thm)],[265,theory(equality)])).
% cnf(267,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|leq(esk1_3(esk4_0,esk5_0,esk3_0),esk4_0)|$false),inference(rw,[status(thm)],[246,260,theory(equality)])).
% cnf(268,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|leq(esk1_3(esk4_0,esk5_0,esk3_0),esk4_0)),inference(cn,[status(thm)],[267,theory(equality)])).
% cnf(269,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|leq(esk1_3(esk4_0,esk5_0,esk3_0),esk5_0)|$false),inference(rw,[status(thm)],[248,260,theory(equality)])).
% cnf(270,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|leq(esk1_3(esk4_0,esk5_0,esk3_0),esk5_0)),inference(cn,[status(thm)],[269,theory(equality)])).
% cnf(271,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|~leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0)|$false),inference(rw,[status(thm)],[250,260,theory(equality)])).
% cnf(272,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|~leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0)),inference(cn,[status(thm)],[271,theory(equality)])).
% cnf(273,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|leq(esk1_3(esk4_0,esk5_0,esk3_0),esk4_0)|$false),inference(rw,[status(thm)],[252,260,theory(equality)])).
% cnf(274,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|leq(esk1_3(esk4_0,esk5_0,esk3_0),esk4_0)),inference(cn,[status(thm)],[273,theory(equality)])).
% cnf(275,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|leq(esk1_3(esk4_0,esk5_0,esk3_0),esk5_0)|$false),inference(rw,[status(thm)],[254,260,theory(equality)])).
% cnf(276,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|leq(esk1_3(esk4_0,esk5_0,esk3_0),esk5_0)),inference(cn,[status(thm)],[275,theory(equality)])).
% cnf(277,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0)|$false),inference(rw,[status(thm)],[256,260,theory(equality)])).
% cnf(278,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0)),inference(cn,[status(thm)],[277,theory(equality)])).
% cnf(293,plain,(leq(X1,addition(X1,X2))),inference(spm,[status(thm)],[47,95,theory(equality)])).
% cnf(328,plain,(leq(X1,addition(X2,X1))),inference(spm,[status(thm)],[293,40,theory(equality)])).
% cnf(339,plain,(leq(X1,addition(X2,addition(X3,X1)))),inference(spm,[status(thm)],[328,42,theory(equality)])).
% cnf(460,plain,(leq(X1,addition(X2,X3))|~leq(X1,X3)),inference(spm,[status(thm)],[339,77,theory(equality)])).
% cnf(702,plain,(leq(X1,X2)|~leq(X1,X3)|~leq(X3,X2)),inference(spm,[status(thm)],[460,77,theory(equality)])).
% cnf(1192,negated_conjecture,(leq(X1,esk3_0)|~leq(X1,esk5_0)|~leq(X1,esk4_0)),inference(csr,[status(thm)],[178,27])).
% cnf(1194,negated_conjecture,(leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|~leq(esk1_3(esk4_0,esk5_0,esk3_0),esk4_0)),inference(spm,[status(thm)],[1192,276,theory(equality)])).
% cnf(1195,negated_conjecture,(leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|~leq(esk1_3(esk4_0,esk5_0,esk3_0),esk4_0)),inference(spm,[status(thm)],[1192,270,theory(equality)])).
% cnf(1196,negated_conjecture,(leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0)|~leq(esk1_3(esk4_0,esk5_0,esk3_0),esk4_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)),inference(spm,[status(thm)],[1192,264,theory(equality)])).
% cnf(1227,negated_conjecture,(leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)),inference(csr,[status(thm)],[1194,274])).
% cnf(1228,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)),inference(csr,[status(thm)],[1227,278])).
% cnf(1230,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)),inference(spm,[status(thm)],[1192,1228,theory(equality)])).
% cnf(1463,negated_conjecture,(leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)),inference(csr,[status(thm)],[1195,268])).
% cnf(1464,negated_conjecture,(leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)),inference(csr,[status(thm)],[1463,1230])).
% cnf(1468,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)),inference(spm,[status(thm)],[272,1464,theory(equality)])).
% cnf(1470,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),esk3_0)),inference(csr,[status(thm)],[1468,1230])).
% cnf(1567,negated_conjecture,(leq(esk1_3(esk4_0,esk5_0,esk3_0),esk3_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)),inference(csr,[status(thm)],[1196,262])).
% cnf(1568,negated_conjecture,(~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk5_0)|~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)),inference(csr,[status(thm)],[1567,266])).
% cnf(2832,negated_conjecture,(leq(esk2_3(esk4_0,esk5_0,esk3_0),X1)|~leq(esk3_0,X1)),inference(spm,[status(thm)],[702,1470,theory(equality)])).
% cnf(2918,negated_conjecture,(~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|~leq(esk3_0,esk5_0)),inference(spm,[status(thm)],[1568,2832,theory(equality)])).
% cnf(2941,negated_conjecture,(~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)|$false),inference(rw,[status(thm)],[2918,238,theory(equality)])).
% cnf(2942,negated_conjecture,(~leq(esk2_3(esk4_0,esk5_0,esk3_0),esk4_0)),inference(cn,[status(thm)],[2941,theory(equality)])).
% cnf(3145,negated_conjecture,(~leq(esk3_0,esk4_0)),inference(spm,[status(thm)],[2942,2832,theory(equality)])).
% cnf(3148,negated_conjecture,($false),inference(rw,[status(thm)],[3145,260,theory(equality)])).
% cnf(3149,negated_conjecture,($false),inference(cn,[status(thm)],[3148,theory(equality)])).
% cnf(3150,negated_conjecture,($false),3149,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 370
% # ...of these trivial : 24
% # ...subsumed : 119
% # ...remaining for further processing: 227
% # Other redundant clauses eliminated : 6
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 22
% # Backward-rewritten : 31
% # Generated clauses : 2090
% # ...of the previous two non-trivial : 1550
% # Contextual simplify-reflections : 40
% # Paramodulations : 2066
% # Factorizations : 12
% # Equation resolutions : 10
% # Current number of processed clauses: 145
% # Positive orientable unit clauses: 31
% # Positive unorientable unit clauses: 3
% # Negative unit clauses : 1
% # Non-unit-clauses : 110
% # Current number of unprocessed clauses: 1174
% # ...number of literals in the above : 3692
% # Clause-clause subsumption calls (NU) : 1931
% # Rec. Clause-clause subsumption calls : 1592
% # Unit Clause-clause subsumption calls : 82
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 75
% # Indexed BW rewrite successes : 45
% # Backwards rewriting index: 106 leaves, 1.80+/-2.401 terms/leaf
% # Paramod-from index: 41 leaves, 1.46+/-0.965 terms/leaf
% # Paramod-into index: 79 leaves, 1.62+/-1.529 terms/leaf
% # -------------------------------------------------
% # User time : 0.072 s
% # System time : 0.007 s
% # Total time : 0.079 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.22 CPU 0.31 WC
% FINAL PrfWatch: 0.22 CPU 0.31 WC
% SZS output end Solution for /tmp/SystemOnTPTP26617/KLE029+1.tptp
%
%------------------------------------------------------------------------------