TSTP Solution File: NUM858+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM858+1 : TPTP v5.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art07.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 20:50:04 EST 2010
% Result : Theorem 1.22s
% Output : Solution 1.22s
% 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/SystemOnTPTP20073/NUM858+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP20073/NUM858+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP20073/NUM858+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 20169
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% # Preprocessing time : 0.014 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:lesseq(X1,X1),file('/tmp/SRASS.s.p', lesseq_ref)).
% fof(3, axiom,![X1]:![X2]:(lesseq(X1,X2)|lesseq(X2,X1)),file('/tmp/SRASS.s.p', lesseq_total)).
% fof(4, axiom,![X1]:![X2]:![X4]:(minsol_model_max(X1,X2,X4)<=>(model_max(X1,X2,X4)&![X3]:(model_max(X1,X2,X3)=>lesseq(X4,X3)))),file('/tmp/SRASS.s.p', minsol_model_max)).
% fof(5, axiom,![X1]:![X2]:![X4]:(minsol_model_ub(X1,X2,X4)<=>(model_ub(X1,X2,X4)&![X3]:(model_ub(X1,X2,X3)=>lesseq(X4,X3)))),file('/tmp/SRASS.s.p', minsol_model_ub)).
% fof(6, axiom,![X1]:![X2]:(max(X1,X2)=X1|~(lesseq(X2,X1))),file('/tmp/SRASS.s.p', max_1)).
% fof(7, axiom,![X1]:![X2]:(max(X1,X2)=X2|~(lesseq(X1,X2))),file('/tmp/SRASS.s.p', max_2)).
% fof(8, axiom,![X1]:![X2]:![X3]:(ub(X1,X2,X3)<=>(lesseq(X1,X3)&lesseq(X2,X3))),file('/tmp/SRASS.s.p', ub)).
% fof(9, axiom,![X1]:![X2]:((lesseq(X1,X2)&lesseq(X2,X1))=>X1=X2),file('/tmp/SRASS.s.p', lesseq_antisymmetric)).
% fof(10, axiom,![X1]:![X2]:![X4]:(model_ub(X1,X2,X4)<=>ub(X1,X2,X4)),file('/tmp/SRASS.s.p', model_ub_1)).
% fof(11, axiom,![X1]:![X2]:![X4]:(model_max(X1,X2,X4)<=>X4=max(X1,X2)),file('/tmp/SRASS.s.p', model_max_1)).
% fof(14, conjecture,![X1]:![X2]:![X3]:(minsol_model_ub(X1,X2,X3)<=>minsol_model_max(X1,X2,X3)),file('/tmp/SRASS.s.p', max_is_ub_1)).
% fof(15, negated_conjecture,~(![X1]:![X2]:![X3]:(minsol_model_ub(X1,X2,X3)<=>minsol_model_max(X1,X2,X3))),inference(assume_negation,[status(cth)],[14])).
% fof(16, plain,![X1]:![X2]:(max(X1,X2)=X1|~(lesseq(X2,X1))),inference(fof_simplification,[status(thm)],[6,theory(equality)])).
% fof(17, plain,![X1]:![X2]:(max(X1,X2)=X2|~(lesseq(X1,X2))),inference(fof_simplification,[status(thm)],[7,theory(equality)])).
% fof(18, plain,![X2]:lesseq(X2,X2),inference(variable_rename,[status(thm)],[1])).
% cnf(19,plain,(lesseq(X1,X1)),inference(split_conjunct,[status(thm)],[18])).
% fof(23, plain,![X3]:![X4]:(lesseq(X3,X4)|lesseq(X4,X3)),inference(variable_rename,[status(thm)],[3])).
% cnf(24,plain,(lesseq(X1,X2)|lesseq(X2,X1)),inference(split_conjunct,[status(thm)],[23])).
% fof(25, plain,![X1]:![X2]:![X4]:((~(minsol_model_max(X1,X2,X4))|(model_max(X1,X2,X4)&![X3]:(~(model_max(X1,X2,X3))|lesseq(X4,X3))))&((~(model_max(X1,X2,X4))|?[X3]:(model_max(X1,X2,X3)&~(lesseq(X4,X3))))|minsol_model_max(X1,X2,X4))),inference(fof_nnf,[status(thm)],[4])).
% fof(26, plain,![X5]:![X6]:![X7]:((~(minsol_model_max(X5,X6,X7))|(model_max(X5,X6,X7)&![X8]:(~(model_max(X5,X6,X8))|lesseq(X7,X8))))&((~(model_max(X5,X6,X7))|?[X9]:(model_max(X5,X6,X9)&~(lesseq(X7,X9))))|minsol_model_max(X5,X6,X7))),inference(variable_rename,[status(thm)],[25])).
% fof(27, plain,![X5]:![X6]:![X7]:((~(minsol_model_max(X5,X6,X7))|(model_max(X5,X6,X7)&![X8]:(~(model_max(X5,X6,X8))|lesseq(X7,X8))))&((~(model_max(X5,X6,X7))|(model_max(X5,X6,esk1_3(X5,X6,X7))&~(lesseq(X7,esk1_3(X5,X6,X7)))))|minsol_model_max(X5,X6,X7))),inference(skolemize,[status(esa)],[26])).
% fof(28, plain,![X5]:![X6]:![X7]:![X8]:((((~(model_max(X5,X6,X8))|lesseq(X7,X8))&model_max(X5,X6,X7))|~(minsol_model_max(X5,X6,X7)))&((~(model_max(X5,X6,X7))|(model_max(X5,X6,esk1_3(X5,X6,X7))&~(lesseq(X7,esk1_3(X5,X6,X7)))))|minsol_model_max(X5,X6,X7))),inference(shift_quantors,[status(thm)],[27])).
% fof(29, plain,![X5]:![X6]:![X7]:![X8]:((((~(model_max(X5,X6,X8))|lesseq(X7,X8))|~(minsol_model_max(X5,X6,X7)))&(model_max(X5,X6,X7)|~(minsol_model_max(X5,X6,X7))))&(((model_max(X5,X6,esk1_3(X5,X6,X7))|~(model_max(X5,X6,X7)))|minsol_model_max(X5,X6,X7))&((~(lesseq(X7,esk1_3(X5,X6,X7)))|~(model_max(X5,X6,X7)))|minsol_model_max(X5,X6,X7)))),inference(distribute,[status(thm)],[28])).
% cnf(30,plain,(minsol_model_max(X1,X2,X3)|~model_max(X1,X2,X3)|~lesseq(X3,esk1_3(X1,X2,X3))),inference(split_conjunct,[status(thm)],[29])).
% cnf(31,plain,(minsol_model_max(X1,X2,X3)|model_max(X1,X2,esk1_3(X1,X2,X3))|~model_max(X1,X2,X3)),inference(split_conjunct,[status(thm)],[29])).
% cnf(32,plain,(model_max(X1,X2,X3)|~minsol_model_max(X1,X2,X3)),inference(split_conjunct,[status(thm)],[29])).
% cnf(33,plain,(lesseq(X3,X4)|~minsol_model_max(X1,X2,X3)|~model_max(X1,X2,X4)),inference(split_conjunct,[status(thm)],[29])).
% fof(34, plain,![X1]:![X2]:![X4]:((~(minsol_model_ub(X1,X2,X4))|(model_ub(X1,X2,X4)&![X3]:(~(model_ub(X1,X2,X3))|lesseq(X4,X3))))&((~(model_ub(X1,X2,X4))|?[X3]:(model_ub(X1,X2,X3)&~(lesseq(X4,X3))))|minsol_model_ub(X1,X2,X4))),inference(fof_nnf,[status(thm)],[5])).
% fof(35, plain,![X5]:![X6]:![X7]:((~(minsol_model_ub(X5,X6,X7))|(model_ub(X5,X6,X7)&![X8]:(~(model_ub(X5,X6,X8))|lesseq(X7,X8))))&((~(model_ub(X5,X6,X7))|?[X9]:(model_ub(X5,X6,X9)&~(lesseq(X7,X9))))|minsol_model_ub(X5,X6,X7))),inference(variable_rename,[status(thm)],[34])).
% fof(36, plain,![X5]:![X6]:![X7]:((~(minsol_model_ub(X5,X6,X7))|(model_ub(X5,X6,X7)&![X8]:(~(model_ub(X5,X6,X8))|lesseq(X7,X8))))&((~(model_ub(X5,X6,X7))|(model_ub(X5,X6,esk2_3(X5,X6,X7))&~(lesseq(X7,esk2_3(X5,X6,X7)))))|minsol_model_ub(X5,X6,X7))),inference(skolemize,[status(esa)],[35])).
% fof(37, plain,![X5]:![X6]:![X7]:![X8]:((((~(model_ub(X5,X6,X8))|lesseq(X7,X8))&model_ub(X5,X6,X7))|~(minsol_model_ub(X5,X6,X7)))&((~(model_ub(X5,X6,X7))|(model_ub(X5,X6,esk2_3(X5,X6,X7))&~(lesseq(X7,esk2_3(X5,X6,X7)))))|minsol_model_ub(X5,X6,X7))),inference(shift_quantors,[status(thm)],[36])).
% fof(38, plain,![X5]:![X6]:![X7]:![X8]:((((~(model_ub(X5,X6,X8))|lesseq(X7,X8))|~(minsol_model_ub(X5,X6,X7)))&(model_ub(X5,X6,X7)|~(minsol_model_ub(X5,X6,X7))))&(((model_ub(X5,X6,esk2_3(X5,X6,X7))|~(model_ub(X5,X6,X7)))|minsol_model_ub(X5,X6,X7))&((~(lesseq(X7,esk2_3(X5,X6,X7)))|~(model_ub(X5,X6,X7)))|minsol_model_ub(X5,X6,X7)))),inference(distribute,[status(thm)],[37])).
% cnf(39,plain,(minsol_model_ub(X1,X2,X3)|~model_ub(X1,X2,X3)|~lesseq(X3,esk2_3(X1,X2,X3))),inference(split_conjunct,[status(thm)],[38])).
% cnf(40,plain,(minsol_model_ub(X1,X2,X3)|model_ub(X1,X2,esk2_3(X1,X2,X3))|~model_ub(X1,X2,X3)),inference(split_conjunct,[status(thm)],[38])).
% cnf(41,plain,(model_ub(X1,X2,X3)|~minsol_model_ub(X1,X2,X3)),inference(split_conjunct,[status(thm)],[38])).
% cnf(42,plain,(lesseq(X3,X4)|~minsol_model_ub(X1,X2,X3)|~model_ub(X1,X2,X4)),inference(split_conjunct,[status(thm)],[38])).
% fof(43, plain,![X3]:![X4]:(max(X3,X4)=X3|~(lesseq(X4,X3))),inference(variable_rename,[status(thm)],[16])).
% cnf(44,plain,(max(X2,X1)=X2|~lesseq(X1,X2)),inference(split_conjunct,[status(thm)],[43])).
% fof(45, plain,![X3]:![X4]:(max(X3,X4)=X4|~(lesseq(X3,X4))),inference(variable_rename,[status(thm)],[17])).
% cnf(46,plain,(max(X1,X2)=X2|~lesseq(X1,X2)),inference(split_conjunct,[status(thm)],[45])).
% fof(47, plain,![X1]:![X2]:![X3]:((~(ub(X1,X2,X3))|(lesseq(X1,X3)&lesseq(X2,X3)))&((~(lesseq(X1,X3))|~(lesseq(X2,X3)))|ub(X1,X2,X3))),inference(fof_nnf,[status(thm)],[8])).
% fof(48, plain,![X4]:![X5]:![X6]:((~(ub(X4,X5,X6))|(lesseq(X4,X6)&lesseq(X5,X6)))&((~(lesseq(X4,X6))|~(lesseq(X5,X6)))|ub(X4,X5,X6))),inference(variable_rename,[status(thm)],[47])).
% fof(49, plain,![X4]:![X5]:![X6]:(((lesseq(X4,X6)|~(ub(X4,X5,X6)))&(lesseq(X5,X6)|~(ub(X4,X5,X6))))&((~(lesseq(X4,X6))|~(lesseq(X5,X6)))|ub(X4,X5,X6))),inference(distribute,[status(thm)],[48])).
% cnf(50,plain,(ub(X1,X2,X3)|~lesseq(X2,X3)|~lesseq(X1,X3)),inference(split_conjunct,[status(thm)],[49])).
% cnf(51,plain,(lesseq(X2,X3)|~ub(X1,X2,X3)),inference(split_conjunct,[status(thm)],[49])).
% cnf(52,plain,(lesseq(X1,X3)|~ub(X1,X2,X3)),inference(split_conjunct,[status(thm)],[49])).
% fof(53, plain,![X1]:![X2]:((~(lesseq(X1,X2))|~(lesseq(X2,X1)))|X1=X2),inference(fof_nnf,[status(thm)],[9])).
% fof(54, plain,![X3]:![X4]:((~(lesseq(X3,X4))|~(lesseq(X4,X3)))|X3=X4),inference(variable_rename,[status(thm)],[53])).
% cnf(55,plain,(X1=X2|~lesseq(X2,X1)|~lesseq(X1,X2)),inference(split_conjunct,[status(thm)],[54])).
% fof(56, plain,![X1]:![X2]:![X4]:((~(model_ub(X1,X2,X4))|ub(X1,X2,X4))&(~(ub(X1,X2,X4))|model_ub(X1,X2,X4))),inference(fof_nnf,[status(thm)],[10])).
% fof(57, plain,![X5]:![X6]:![X7]:((~(model_ub(X5,X6,X7))|ub(X5,X6,X7))&(~(ub(X5,X6,X7))|model_ub(X5,X6,X7))),inference(variable_rename,[status(thm)],[56])).
% cnf(58,plain,(model_ub(X1,X2,X3)|~ub(X1,X2,X3)),inference(split_conjunct,[status(thm)],[57])).
% cnf(59,plain,(ub(X1,X2,X3)|~model_ub(X1,X2,X3)),inference(split_conjunct,[status(thm)],[57])).
% fof(60, plain,![X1]:![X2]:![X4]:((~(model_max(X1,X2,X4))|X4=max(X1,X2))&(~(X4=max(X1,X2))|model_max(X1,X2,X4))),inference(fof_nnf,[status(thm)],[11])).
% fof(61, plain,![X5]:![X6]:![X7]:((~(model_max(X5,X6,X7))|X7=max(X5,X6))&(~(X7=max(X5,X6))|model_max(X5,X6,X7))),inference(variable_rename,[status(thm)],[60])).
% cnf(62,plain,(model_max(X1,X2,X3)|X3!=max(X1,X2)),inference(split_conjunct,[status(thm)],[61])).
% cnf(63,plain,(X1=max(X2,X3)|~model_max(X2,X3,X1)),inference(split_conjunct,[status(thm)],[61])).
% fof(72, negated_conjecture,?[X1]:?[X2]:?[X3]:((~(minsol_model_ub(X1,X2,X3))|~(minsol_model_max(X1,X2,X3)))&(minsol_model_ub(X1,X2,X3)|minsol_model_max(X1,X2,X3))),inference(fof_nnf,[status(thm)],[15])).
% fof(73, negated_conjecture,?[X4]:?[X5]:?[X6]:((~(minsol_model_ub(X4,X5,X6))|~(minsol_model_max(X4,X5,X6)))&(minsol_model_ub(X4,X5,X6)|minsol_model_max(X4,X5,X6))),inference(variable_rename,[status(thm)],[72])).
% fof(74, negated_conjecture,((~(minsol_model_ub(esk3_0,esk4_0,esk5_0))|~(minsol_model_max(esk3_0,esk4_0,esk5_0)))&(minsol_model_ub(esk3_0,esk4_0,esk5_0)|minsol_model_max(esk3_0,esk4_0,esk5_0))),inference(skolemize,[status(esa)],[73])).
% cnf(75,negated_conjecture,(minsol_model_max(esk3_0,esk4_0,esk5_0)|minsol_model_ub(esk3_0,esk4_0,esk5_0)),inference(split_conjunct,[status(thm)],[74])).
% cnf(76,negated_conjecture,(~minsol_model_max(esk3_0,esk4_0,esk5_0)|~minsol_model_ub(esk3_0,esk4_0,esk5_0)),inference(split_conjunct,[status(thm)],[74])).
% cnf(78,negated_conjecture,(model_ub(esk3_0,esk4_0,esk5_0)|minsol_model_max(esk3_0,esk4_0,esk5_0)),inference(spm,[status(thm)],[41,75,theory(equality)])).
% cnf(87,plain,(lesseq(X1,X2)|~model_ub(X3,X1,X2)),inference(spm,[status(thm)],[51,59,theory(equality)])).
% cnf(88,plain,(lesseq(X1,X2)|~model_ub(X1,X3,X2)),inference(spm,[status(thm)],[52,59,theory(equality)])).
% cnf(89,plain,(model_max(X1,X2,max(X1,X2))),inference(er,[status(thm)],[62,theory(equality)])).
% cnf(90,plain,(model_max(X1,X2,X3)|X1!=X3|~lesseq(X2,X1)),inference(spm,[status(thm)],[62,44,theory(equality)])).
% cnf(91,plain,(model_max(X1,X2,X3)|X2!=X3|~lesseq(X1,X2)),inference(spm,[status(thm)],[62,46,theory(equality)])).
% cnf(92,plain,(model_max(X1,X2,X1)|~lesseq(X2,X1)),inference(er,[status(thm)],[90,theory(equality)])).
% cnf(93,plain,(model_max(X1,X2,X2)|~lesseq(X1,X2)),inference(er,[status(thm)],[91,theory(equality)])).
% cnf(94,plain,(model_ub(X1,X2,X3)|~lesseq(X2,X3)|~lesseq(X1,X3)),inference(spm,[status(thm)],[58,50,theory(equality)])).
% cnf(114,plain,(max(X1,X2)=esk1_3(X1,X2,X3)|minsol_model_max(X1,X2,X3)|~model_max(X1,X2,X3)),inference(spm,[status(thm)],[63,31,theory(equality)])).
% cnf(117,negated_conjecture,(model_max(esk3_0,esk4_0,esk5_0)|model_ub(esk3_0,esk4_0,esk5_0)),inference(spm,[status(thm)],[32,78,theory(equality)])).
% cnf(122,negated_conjecture,(lesseq(esk4_0,esk5_0)|model_max(esk3_0,esk4_0,esk5_0)),inference(spm,[status(thm)],[87,117,theory(equality)])).
% cnf(123,plain,(lesseq(X1,esk2_3(X2,X1,X3))|minsol_model_ub(X2,X1,X3)|~model_ub(X2,X1,X3)),inference(spm,[status(thm)],[87,40,theory(equality)])).
% cnf(124,negated_conjecture,(max(esk3_0,esk4_0)=esk5_0|lesseq(esk4_0,esk5_0)),inference(spm,[status(thm)],[63,122,theory(equality)])).
% cnf(127,negated_conjecture,(esk5_0=esk4_0|lesseq(esk4_0,esk5_0)|~lesseq(esk3_0,esk4_0)),inference(spm,[status(thm)],[46,124,theory(equality)])).
% cnf(130,negated_conjecture,(lesseq(esk3_0,esk5_0)|model_max(esk3_0,esk4_0,esk5_0)),inference(spm,[status(thm)],[88,117,theory(equality)])).
% cnf(131,plain,(lesseq(X1,esk2_3(X1,X2,X3))|minsol_model_ub(X1,X2,X3)|~model_ub(X1,X2,X3)),inference(spm,[status(thm)],[88,40,theory(equality)])).
% cnf(132,negated_conjecture,(max(esk3_0,esk4_0)=esk5_0|lesseq(esk3_0,esk5_0)),inference(spm,[status(thm)],[63,130,theory(equality)])).
% cnf(134,negated_conjecture,(esk5_0=esk3_0|lesseq(esk3_0,esk5_0)|~lesseq(esk4_0,esk3_0)),inference(spm,[status(thm)],[44,132,theory(equality)])).
% cnf(140,negated_conjecture,(esk5_0=esk4_0|~lesseq(esk5_0,esk4_0)|~lesseq(esk3_0,esk4_0)),inference(spm,[status(thm)],[55,127,theory(equality)])).
% cnf(142,negated_conjecture,(esk5_0=esk3_0|lesseq(esk3_0,esk5_0)|lesseq(esk3_0,esk4_0)),inference(spm,[status(thm)],[134,24,theory(equality)])).
% cnf(147,plain,(lesseq(X1,X2)|~minsol_model_max(X2,X3,X1)|~lesseq(X3,X2)),inference(spm,[status(thm)],[33,92,theory(equality)])).
% cnf(149,plain,(lesseq(X1,X2)|~minsol_model_max(X3,X2,X1)|~lesseq(X3,X2)),inference(spm,[status(thm)],[33,93,theory(equality)])).
% cnf(152,negated_conjecture,(esk5_0=esk3_0|lesseq(esk3_0,esk4_0)|~lesseq(esk5_0,esk3_0)),inference(spm,[status(thm)],[55,142,theory(equality)])).
% cnf(156,plain,(lesseq(X1,X2)|~minsol_model_ub(X3,X4,X1)|~lesseq(X4,X2)|~lesseq(X3,X2)),inference(spm,[status(thm)],[42,94,theory(equality)])).
% cnf(365,plain,(minsol_model_max(X1,X2,X3)|~model_max(X1,X2,X3)|~lesseq(X3,max(X1,X2))),inference(spm,[status(thm)],[30,114,theory(equality)])).
% cnf(563,plain,(minsol_model_ub(X1,X2,X2)|~model_ub(X1,X2,X2)),inference(spm,[status(thm)],[39,123,theory(equality)])).
% cnf(611,plain,(minsol_model_ub(X1,X2,X1)|~model_ub(X1,X2,X1)),inference(spm,[status(thm)],[39,131,theory(equality)])).
% cnf(785,negated_conjecture,(lesseq(esk5_0,X1)|minsol_model_max(esk3_0,esk4_0,esk5_0)|~lesseq(esk4_0,X1)|~lesseq(esk3_0,X1)),inference(spm,[status(thm)],[156,75,theory(equality)])).
% cnf(1263,negated_conjecture,(minsol_model_max(esk3_0,esk4_0,esk5_0)|lesseq(esk5_0,esk4_0)|~lesseq(esk3_0,esk4_0)),inference(spm,[status(thm)],[785,19,theory(equality)])).
% cnf(1264,negated_conjecture,(minsol_model_max(esk3_0,esk4_0,esk5_0)|lesseq(esk5_0,X1)|lesseq(X1,esk4_0)|~lesseq(esk3_0,X1)),inference(spm,[status(thm)],[785,24,theory(equality)])).
% cnf(1298,negated_conjecture,(lesseq(esk5_0,esk4_0)|~lesseq(esk3_0,esk4_0)),inference(csr,[status(thm)],[1263,149])).
% cnf(1315,negated_conjecture,(esk5_0=esk4_0|~lesseq(esk3_0,esk4_0)),inference(spm,[status(thm)],[140,1298,theory(equality)])).
% cnf(3101,negated_conjecture,(minsol_model_max(esk3_0,esk4_0,esk5_0)|lesseq(esk3_0,esk4_0)|lesseq(esk5_0,esk3_0)),inference(spm,[status(thm)],[1264,19,theory(equality)])).
% cnf(3156,negated_conjecture,(lesseq(esk5_0,esk3_0)|lesseq(esk3_0,esk4_0)|~lesseq(esk4_0,esk3_0)),inference(spm,[status(thm)],[147,3101,theory(equality)])).
% cnf(3188,negated_conjecture,(lesseq(esk5_0,esk3_0)|lesseq(esk3_0,esk4_0)),inference(csr,[status(thm)],[3156,24])).
% cnf(3217,negated_conjecture,(esk5_0=esk3_0|lesseq(esk3_0,esk4_0)),inference(spm,[status(thm)],[152,3188,theory(equality)])).
% cnf(3251,negated_conjecture,(esk5_0=esk4_0|esk5_0=esk3_0),inference(spm,[status(thm)],[1315,3217,theory(equality)])).
% cnf(3254,negated_conjecture,(esk5_0=esk3_0|esk4_0!=esk3_0),inference(ef,[status(thm)],[3251,theory(equality)])).
% cnf(3257,negated_conjecture,(esk5_0=esk3_0|~minsol_model_ub(esk3_0,esk4_0,esk4_0)|~minsol_model_max(esk3_0,esk4_0,esk4_0)),inference(spm,[status(thm)],[76,3251,theory(equality)])).
% cnf(3258,negated_conjecture,(model_max(esk3_0,esk4_0,esk4_0)|lesseq(esk3_0,esk4_0)|esk5_0=esk3_0),inference(spm,[status(thm)],[130,3251,theory(equality)])).
% cnf(3285,negated_conjecture,(~minsol_model_ub(esk3_0,esk4_0,esk3_0)|~minsol_model_max(esk3_0,esk4_0,esk3_0)|esk4_0!=esk3_0),inference(spm,[status(thm)],[76,3254,theory(equality)])).
% cnf(3288,negated_conjecture,(model_max(esk3_0,esk4_0,esk3_0)|lesseq(esk4_0,esk3_0)|esk4_0!=esk3_0),inference(spm,[status(thm)],[122,3254,theory(equality)])).
% cnf(3335,negated_conjecture,(esk5_0=esk3_0|~minsol_model_max(esk3_0,esk4_0,esk4_0)|~model_ub(esk3_0,esk4_0,esk4_0)),inference(spm,[status(thm)],[3257,563,theory(equality)])).
% cnf(3337,negated_conjecture,(esk4_0!=esk3_0|~minsol_model_max(esk3_0,esk4_0,esk3_0)|~model_ub(esk3_0,esk4_0,esk3_0)),inference(spm,[status(thm)],[3285,611,theory(equality)])).
% cnf(3560,negated_conjecture,(esk5_0=esk3_0|model_max(esk3_0,esk4_0,esk4_0)),inference(csr,[status(thm)],[3258,93])).
% cnf(3561,negated_conjecture,(max(esk3_0,esk4_0)=esk4_0|esk5_0=esk3_0),inference(spm,[status(thm)],[63,3560,theory(equality)])).
% cnf(3620,negated_conjecture,(model_max(esk3_0,esk4_0,esk3_0)|esk4_0!=esk3_0),inference(csr,[status(thm)],[3288,92])).
% cnf(3621,negated_conjecture,(max(esk3_0,esk4_0)=esk3_0|esk4_0!=esk3_0),inference(spm,[status(thm)],[63,3620,theory(equality)])).
% cnf(6537,plain,(minsol_model_max(X1,X2,max(X1,X2))|~model_max(X1,X2,max(X1,X2))),inference(spm,[status(thm)],[365,19,theory(equality)])).
% cnf(6560,plain,(minsol_model_max(X1,X2,max(X1,X2))|$false),inference(rw,[status(thm)],[6537,89,theory(equality)])).
% cnf(6561,plain,(minsol_model_max(X1,X2,max(X1,X2))),inference(cn,[status(thm)],[6560,theory(equality)])).
% cnf(6583,negated_conjecture,(minsol_model_max(esk3_0,esk4_0,esk3_0)|esk4_0!=esk3_0),inference(spm,[status(thm)],[6561,3621,theory(equality)])).
% cnf(6584,negated_conjecture,(minsol_model_max(esk3_0,esk4_0,esk4_0)|esk5_0=esk3_0),inference(spm,[status(thm)],[6561,3561,theory(equality)])).
% cnf(6605,negated_conjecture,(esk4_0!=esk3_0|~model_ub(esk3_0,esk4_0,esk3_0)),inference(spm,[status(thm)],[3337,6583,theory(equality)])).
% cnf(6608,negated_conjecture,(esk4_0!=esk3_0|~lesseq(esk4_0,esk3_0)|~lesseq(esk3_0,esk3_0)),inference(spm,[status(thm)],[6605,94,theory(equality)])).
% cnf(6610,negated_conjecture,(esk4_0!=esk3_0|~lesseq(esk4_0,esk3_0)|$false),inference(rw,[status(thm)],[6608,19,theory(equality)])).
% cnf(6611,negated_conjecture,(esk4_0!=esk3_0|~lesseq(esk4_0,esk3_0)),inference(cn,[status(thm)],[6610,theory(equality)])).
% cnf(6640,negated_conjecture,(esk5_0=esk3_0|~model_ub(esk3_0,esk4_0,esk4_0)),inference(spm,[status(thm)],[3335,6584,theory(equality)])).
% cnf(6902,negated_conjecture,(esk5_0=esk3_0|~lesseq(esk4_0,esk4_0)|~lesseq(esk3_0,esk4_0)),inference(spm,[status(thm)],[6640,94,theory(equality)])).
% cnf(6904,negated_conjecture,(esk5_0=esk3_0|$false|~lesseq(esk3_0,esk4_0)),inference(rw,[status(thm)],[6902,19,theory(equality)])).
% cnf(6905,negated_conjecture,(esk5_0=esk3_0|~lesseq(esk3_0,esk4_0)),inference(cn,[status(thm)],[6904,theory(equality)])).
% cnf(6906,negated_conjecture,(esk5_0=esk3_0),inference(csr,[status(thm)],[6905,3217])).
% cnf(7019,negated_conjecture,(esk3_0=esk4_0|~lesseq(esk3_0,esk4_0)),inference(rw,[status(thm)],[1315,6906,theory(equality)])).
% cnf(7113,negated_conjecture,(model_max(esk3_0,esk4_0,esk3_0)|lesseq(esk4_0,esk5_0)),inference(rw,[status(thm)],[122,6906,theory(equality)])).
% cnf(7114,negated_conjecture,(model_max(esk3_0,esk4_0,esk3_0)|lesseq(esk4_0,esk3_0)),inference(rw,[status(thm)],[7113,6906,theory(equality)])).
% cnf(7121,negated_conjecture,(~minsol_model_ub(esk3_0,esk4_0,esk3_0)|~minsol_model_max(esk3_0,esk4_0,esk5_0)),inference(rw,[status(thm)],[76,6906,theory(equality)])).
% cnf(7122,negated_conjecture,(~minsol_model_ub(esk3_0,esk4_0,esk3_0)|~minsol_model_max(esk3_0,esk4_0,esk3_0)),inference(rw,[status(thm)],[7121,6906,theory(equality)])).
% cnf(7152,negated_conjecture,(model_max(esk3_0,esk4_0,esk3_0)),inference(csr,[status(thm)],[7114,92])).
% cnf(7153,negated_conjecture,(max(esk3_0,esk4_0)=esk3_0),inference(spm,[status(thm)],[63,7152,theory(equality)])).
% cnf(7161,negated_conjecture,(minsol_model_max(esk3_0,esk4_0,esk3_0)),inference(spm,[status(thm)],[6561,7153,theory(equality)])).
% cnf(7173,negated_conjecture,(~minsol_model_ub(esk3_0,esk4_0,esk3_0)|$false),inference(rw,[status(thm)],[7122,7161,theory(equality)])).
% cnf(7174,negated_conjecture,(~minsol_model_ub(esk3_0,esk4_0,esk3_0)),inference(cn,[status(thm)],[7173,theory(equality)])).
% cnf(7181,negated_conjecture,(~model_ub(esk3_0,esk4_0,esk3_0)),inference(spm,[status(thm)],[7174,611,theory(equality)])).
% cnf(7182,negated_conjecture,(~lesseq(esk4_0,esk3_0)|~lesseq(esk3_0,esk3_0)),inference(spm,[status(thm)],[7181,94,theory(equality)])).
% cnf(7183,negated_conjecture,(~lesseq(esk4_0,esk3_0)|$false),inference(rw,[status(thm)],[7182,19,theory(equality)])).
% cnf(7184,negated_conjecture,(~lesseq(esk4_0,esk3_0)),inference(cn,[status(thm)],[7183,theory(equality)])).
% cnf(7193,negated_conjecture,(lesseq(esk3_0,esk4_0)),inference(spm,[status(thm)],[7184,24,theory(equality)])).
% cnf(7218,negated_conjecture,(esk4_0=esk3_0|$false),inference(rw,[status(thm)],[7019,7193,theory(equality)])).
% cnf(7219,negated_conjecture,(esk4_0=esk3_0),inference(cn,[status(thm)],[7218,theory(equality)])).
% cnf(7231,negated_conjecture,($false|~lesseq(esk4_0,esk3_0)),inference(rw,[status(thm)],[6611,7219,theory(equality)])).
% cnf(7232,negated_conjecture,($false|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[7231,7219,theory(equality)]),19,theory(equality)])).
% cnf(7233,negated_conjecture,($false),inference(cn,[status(thm)],[7232,theory(equality)])).
% cnf(7234,negated_conjecture,($false),7233,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 894
% # ...of these trivial : 11
% # ...subsumed : 506
% # ...remaining for further processing: 377
% # Other redundant clauses eliminated : 2
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 116
% # Backward-rewritten : 147
% # Generated clauses : 6073
% # ...of the previous two non-trivial : 5644
% # Contextual simplify-reflections : 421
% # Paramodulations : 5998
% # Factorizations : 63
% # Equation resolutions : 12
% # Current number of processed clauses: 87
% # Positive orientable unit clauses: 5
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 0
% # Non-unit-clauses : 82
% # Current number of unprocessed clauses: 798
% # ...number of literals in the above : 3261
% # Clause-clause subsumption calls (NU) : 11515
% # Rec. Clause-clause subsumption calls : 7532
% # Unit Clause-clause subsumption calls : 15
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 25
% # Indexed BW rewrite successes : 6
% # Backwards rewriting index: 32 leaves, 3.09+/-2.941 terms/leaf
% # Paramod-from index: 25 leaves, 1.64+/-1.493 terms/leaf
% # Paramod-into index: 30 leaves, 2.70+/-2.545 terms/leaf
% # -------------------------------------------------
% # User time : 0.252 s
% # System time : 0.007 s
% # Total time : 0.259 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.42 CPU 0.51 WC
% FINAL PrfWatch: 0.42 CPU 0.51 WC
% SZS output end Solution for /tmp/SystemOnTPTP20073/NUM858+1.tptp
%
%------------------------------------------------------------------------------