TSTP Solution File: NUM461+2 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM461+2 : TPTP v5.0.0. Released v4.0.0.
% 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 19:20:11 EST 2010
% Result : Theorem 1.93s
% Output : Solution 1.93s
% 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/SystemOnTPTP19732/NUM461+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP19732/NUM461+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP19732/NUM461+2.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=60 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC time limit is 120s
% TreeLimitedRun: PID is 19828
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.015 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtpldt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB)).
% fof(2, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),file('/tmp/SRASS.s.p', mAddComm)).
% fof(3, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))),file('/tmp/SRASS.s.p', mAddAsso)).
% fof(5, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))),file('/tmp/SRASS.s.p', mDefLE)).
% fof(10, axiom,(aNaturalNumber0(xl)&aNaturalNumber0(xn)),file('/tmp/SRASS.s.p', m__840)).
% fof(11, axiom,((~(xl=xn)&?[X1]:(aNaturalNumber0(X1)&sdtpldt0(xl,X1)=xn))&sdtlseqdt0(xl,xn)),file('/tmp/SRASS.s.p', m__840_03)).
% fof(12, axiom,aNaturalNumber0(xm),file('/tmp/SRASS.s.p', m__873)).
% fof(13, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)=>![X3]:(X3=sdtmndt0(X2,X1)<=>(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2)))),file('/tmp/SRASS.s.p', mDefDiff)).
% fof(27, conjecture,(((~(sdtpldt0(xm,xl)=sdtpldt0(xm,xn))&(?[X1]:(aNaturalNumber0(X1)&sdtpldt0(sdtpldt0(xm,xl),X1)=sdtpldt0(xm,xn))|sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))))&~(sdtpldt0(xl,xm)=sdtpldt0(xn,xm)))&(?[X1]:(aNaturalNumber0(X1)&sdtpldt0(sdtpldt0(xl,xm),X1)=sdtpldt0(xn,xm))|sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm)))),file('/tmp/SRASS.s.p', m__)).
% fof(28, negated_conjecture,~((((~(sdtpldt0(xm,xl)=sdtpldt0(xm,xn))&(?[X1]:(aNaturalNumber0(X1)&sdtpldt0(sdtpldt0(xm,xl),X1)=sdtpldt0(xm,xn))|sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))))&~(sdtpldt0(xl,xm)=sdtpldt0(xn,xm)))&(?[X1]:(aNaturalNumber0(X1)&sdtpldt0(sdtpldt0(xl,xm),X1)=sdtpldt0(xn,xm))|sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm))))),inference(assume_negation,[status(cth)],[27])).
% fof(30, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[1])).
% fof(31, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[30])).
% cnf(32,plain,(aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[31])).
% fof(33, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),inference(fof_nnf,[status(thm)],[2])).
% fof(34, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtpldt0(X3,X4)=sdtpldt0(X4,X3)),inference(variable_rename,[status(thm)],[33])).
% cnf(35,plain,(sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[34])).
% fof(36, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))),inference(fof_nnf,[status(thm)],[3])).
% fof(37, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|sdtpldt0(sdtpldt0(X4,X5),X6)=sdtpldt0(X4,sdtpldt0(X5,X6))),inference(variable_rename,[status(thm)],[36])).
% cnf(38,plain,(sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[37])).
% fof(44, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(sdtlseqdt0(X1,X2))|?[X3]:(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))&(![X3]:(~(aNaturalNumber0(X3))|~(sdtpldt0(X1,X3)=X2))|sdtlseqdt0(X1,X2)))),inference(fof_nnf,[status(thm)],[5])).
% fof(45, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(sdtlseqdt0(X4,X5))|?[X6]:(aNaturalNumber0(X6)&sdtpldt0(X4,X6)=X5))&(![X7]:(~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5)))),inference(variable_rename,[status(thm)],[44])).
% fof(46, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(sdtlseqdt0(X4,X5))|(aNaturalNumber0(esk1_2(X4,X5))&sdtpldt0(X4,esk1_2(X4,X5))=X5))&(![X7]:(~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5)))),inference(skolemize,[status(esa)],[45])).
% fof(47, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5))&(~(sdtlseqdt0(X4,X5))|(aNaturalNumber0(esk1_2(X4,X5))&sdtpldt0(X4,esk1_2(X4,X5))=X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[46])).
% fof(48, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((aNaturalNumber0(esk1_2(X4,X5))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&((sdtpldt0(X4,esk1_2(X4,X5))=X5|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))),inference(distribute,[status(thm)],[47])).
% cnf(51,plain,(sdtlseqdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[48])).
% cnf(66,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[10])).
% cnf(67,plain,(aNaturalNumber0(xl)),inference(split_conjunct,[status(thm)],[10])).
% fof(68, plain,((~(xl=xn)&?[X2]:(aNaturalNumber0(X2)&sdtpldt0(xl,X2)=xn))&sdtlseqdt0(xl,xn)),inference(variable_rename,[status(thm)],[11])).
% fof(69, plain,((~(xl=xn)&(aNaturalNumber0(esk2_0)&sdtpldt0(xl,esk2_0)=xn))&sdtlseqdt0(xl,xn)),inference(skolemize,[status(esa)],[68])).
% cnf(71,plain,(sdtpldt0(xl,esk2_0)=xn),inference(split_conjunct,[status(thm)],[69])).
% cnf(72,plain,(aNaturalNumber0(esk2_0)),inference(split_conjunct,[status(thm)],[69])).
% cnf(73,plain,(xl!=xn),inference(split_conjunct,[status(thm)],[69])).
% cnf(74,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[12])).
% fof(75, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(~(sdtlseqdt0(X1,X2))|![X3]:((~(X3=sdtmndt0(X2,X1))|(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))&((~(aNaturalNumber0(X3))|~(sdtpldt0(X1,X3)=X2))|X3=sdtmndt0(X2,X1))))),inference(fof_nnf,[status(thm)],[13])).
% fof(76, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|(~(sdtlseqdt0(X4,X5))|![X6]:((~(X6=sdtmndt0(X5,X4))|(aNaturalNumber0(X6)&sdtpldt0(X4,X6)=X5))&((~(aNaturalNumber0(X6))|~(sdtpldt0(X4,X6)=X5))|X6=sdtmndt0(X5,X4))))),inference(variable_rename,[status(thm)],[75])).
% fof(77, plain,![X4]:![X5]:![X6]:((((~(X6=sdtmndt0(X5,X4))|(aNaturalNumber0(X6)&sdtpldt0(X4,X6)=X5))&((~(aNaturalNumber0(X6))|~(sdtpldt0(X4,X6)=X5))|X6=sdtmndt0(X5,X4)))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[76])).
% fof(78, plain,![X4]:![X5]:![X6]:(((((aNaturalNumber0(X6)|~(X6=sdtmndt0(X5,X4)))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((sdtpldt0(X4,X6)=X5|~(X6=sdtmndt0(X5,X4)))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))&((((~(aNaturalNumber0(X6))|~(sdtpldt0(X4,X6)=X5))|X6=sdtmndt0(X5,X4))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))),inference(distribute,[status(thm)],[77])).
% cnf(79,plain,(X3=sdtmndt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[78])).
% fof(130, negated_conjecture,(((sdtpldt0(xm,xl)=sdtpldt0(xm,xn)|(![X1]:(~(aNaturalNumber0(X1))|~(sdtpldt0(sdtpldt0(xm,xl),X1)=sdtpldt0(xm,xn)))&~(sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn)))))|sdtpldt0(xl,xm)=sdtpldt0(xn,xm))|(![X1]:(~(aNaturalNumber0(X1))|~(sdtpldt0(sdtpldt0(xl,xm),X1)=sdtpldt0(xn,xm)))&~(sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm))))),inference(fof_nnf,[status(thm)],[28])).
% fof(131, negated_conjecture,(((sdtpldt0(xm,xl)=sdtpldt0(xm,xn)|(![X2]:(~(aNaturalNumber0(X2))|~(sdtpldt0(sdtpldt0(xm,xl),X2)=sdtpldt0(xm,xn)))&~(sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn)))))|sdtpldt0(xl,xm)=sdtpldt0(xn,xm))|(![X3]:(~(aNaturalNumber0(X3))|~(sdtpldt0(sdtpldt0(xl,xm),X3)=sdtpldt0(xn,xm)))&~(sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm))))),inference(variable_rename,[status(thm)],[130])).
% fof(132, negated_conjecture,![X2]:![X3]:(((~(aNaturalNumber0(X3))|~(sdtpldt0(sdtpldt0(xl,xm),X3)=sdtpldt0(xn,xm)))&~(sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm))))|((((~(aNaturalNumber0(X2))|~(sdtpldt0(sdtpldt0(xm,xl),X2)=sdtpldt0(xm,xn)))&~(sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))))|sdtpldt0(xm,xl)=sdtpldt0(xm,xn))|sdtpldt0(xl,xm)=sdtpldt0(xn,xm))),inference(shift_quantors,[status(thm)],[131])).
% fof(133, negated_conjecture,![X2]:![X3]:((((((~(aNaturalNumber0(X2))|~(sdtpldt0(sdtpldt0(xm,xl),X2)=sdtpldt0(xm,xn)))|sdtpldt0(xm,xl)=sdtpldt0(xm,xn))|sdtpldt0(xl,xm)=sdtpldt0(xn,xm))|(~(aNaturalNumber0(X3))|~(sdtpldt0(sdtpldt0(xl,xm),X3)=sdtpldt0(xn,xm))))&(((~(sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn)))|sdtpldt0(xm,xl)=sdtpldt0(xm,xn))|sdtpldt0(xl,xm)=sdtpldt0(xn,xm))|(~(aNaturalNumber0(X3))|~(sdtpldt0(sdtpldt0(xl,xm),X3)=sdtpldt0(xn,xm)))))&(((((~(aNaturalNumber0(X2))|~(sdtpldt0(sdtpldt0(xm,xl),X2)=sdtpldt0(xm,xn)))|sdtpldt0(xm,xl)=sdtpldt0(xm,xn))|sdtpldt0(xl,xm)=sdtpldt0(xn,xm))|~(sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm))))&(((~(sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn)))|sdtpldt0(xm,xl)=sdtpldt0(xm,xn))|sdtpldt0(xl,xm)=sdtpldt0(xn,xm))|~(sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm)))))),inference(distribute,[status(thm)],[132])).
% cnf(137,negated_conjecture,(sdtpldt0(xl,xm)=sdtpldt0(xn,xm)|sdtpldt0(xm,xl)=sdtpldt0(xm,xn)|sdtpldt0(sdtpldt0(xl,xm),X1)!=sdtpldt0(xn,xm)|~aNaturalNumber0(X1)|sdtpldt0(sdtpldt0(xm,xl),X2)!=sdtpldt0(xm,xn)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[133])).
% cnf(184,negated_conjecture,(sdtpldt0(xm,xl)=sdtpldt0(xm,xn)|sdtpldt0(xm,xl)=sdtpldt0(xn,xm)|sdtpldt0(sdtpldt0(xm,xl),X1)!=sdtpldt0(xn,xm)|sdtpldt0(sdtpldt0(xm,xl),X2)!=sdtpldt0(xm,xn)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(xl)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[137,35,theory(equality)])).
% cnf(211,negated_conjecture,(sdtpldt0(xm,xl)=sdtpldt0(xm,xn)|sdtpldt0(xm,xl)=sdtpldt0(xn,xm)|sdtpldt0(sdtpldt0(xm,xl),X1)!=sdtpldt0(xn,xm)|sdtpldt0(sdtpldt0(xm,xl),X2)!=sdtpldt0(xm,xn)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[184,67,theory(equality)])).
% cnf(212,negated_conjecture,(sdtpldt0(xm,xl)=sdtpldt0(xm,xn)|sdtpldt0(xm,xl)=sdtpldt0(xn,xm)|sdtpldt0(sdtpldt0(xm,xl),X1)!=sdtpldt0(xn,xm)|sdtpldt0(sdtpldt0(xm,xl),X2)!=sdtpldt0(xm,xn)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[211,74,theory(equality)])).
% cnf(213,negated_conjecture,(sdtpldt0(xm,xl)=sdtpldt0(xm,xn)|sdtpldt0(xm,xl)=sdtpldt0(xn,xm)|sdtpldt0(sdtpldt0(xm,xl),X1)!=sdtpldt0(xn,xm)|sdtpldt0(sdtpldt0(xm,xl),X2)!=sdtpldt0(xm,xn)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[212,theory(equality)])).
% cnf(408,plain,(sdtmndt0(X1,X2)=X3|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[79,51])).
% cnf(409,plain,(sdtmndt0(sdtpldt0(X1,X2),X1)=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(X1,X2))),inference(er,[status(thm)],[408,theory(equality)])).
% cnf(905,negated_conjecture,(sdtpldt0(xn,xm)=sdtpldt0(xm,xl)|sdtpldt0(xm,xl)=sdtpldt0(xm,xn)|sdtpldt0(xm,sdtpldt0(xl,X1))!=sdtpldt0(xn,xm)|sdtpldt0(sdtpldt0(xm,xl),X2)!=sdtpldt0(xm,xn)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(xl)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[213,38,theory(equality)])).
% cnf(908,negated_conjecture,(sdtpldt0(xn,xm)=sdtpldt0(xm,xl)|sdtpldt0(xm,xl)=sdtpldt0(xm,xn)|sdtpldt0(xm,sdtpldt0(xl,X1))!=sdtpldt0(xn,xm)|sdtpldt0(sdtpldt0(xm,xl),X2)!=sdtpldt0(xm,xn)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[905,67,theory(equality)])).
% cnf(909,negated_conjecture,(sdtpldt0(xn,xm)=sdtpldt0(xm,xl)|sdtpldt0(xm,xl)=sdtpldt0(xm,xn)|sdtpldt0(xm,sdtpldt0(xl,X1))!=sdtpldt0(xn,xm)|sdtpldt0(sdtpldt0(xm,xl),X2)!=sdtpldt0(xm,xn)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[908,74,theory(equality)])).
% cnf(910,negated_conjecture,(sdtpldt0(xn,xm)=sdtpldt0(xm,xl)|sdtpldt0(xm,xl)=sdtpldt0(xm,xn)|sdtpldt0(xm,sdtpldt0(xl,X1))!=sdtpldt0(xn,xm)|sdtpldt0(sdtpldt0(xm,xl),X2)!=sdtpldt0(xm,xn)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[909,theory(equality)])).
% cnf(8999,plain,(sdtmndt0(sdtpldt0(X1,X2),X1)=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[409,32])).
% cnf(29240,negated_conjecture,(sdtpldt0(xm,xl)=sdtpldt0(xm,xn)|sdtpldt0(xn,xm)=sdtpldt0(xm,xl)|sdtpldt0(xm,xn)!=sdtpldt0(xn,xm)|sdtpldt0(sdtpldt0(xm,xl),X1)!=sdtpldt0(xm,xn)|~aNaturalNumber0(X1)|~aNaturalNumber0(esk2_0)),inference(spm,[status(thm)],[910,71,theory(equality)])).
% cnf(29274,negated_conjecture,(sdtpldt0(xm,xl)=sdtpldt0(xm,xn)|sdtpldt0(xn,xm)=sdtpldt0(xm,xl)|sdtpldt0(xm,xn)!=sdtpldt0(xn,xm)|sdtpldt0(sdtpldt0(xm,xl),X1)!=sdtpldt0(xm,xn)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[29240,72,theory(equality)])).
% cnf(29275,negated_conjecture,(sdtpldt0(xm,xl)=sdtpldt0(xm,xn)|sdtpldt0(xn,xm)=sdtpldt0(xm,xl)|sdtpldt0(xm,xn)!=sdtpldt0(xn,xm)|sdtpldt0(sdtpldt0(xm,xl),X1)!=sdtpldt0(xm,xn)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[29274,theory(equality)])).
% cnf(30759,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xm,xl)|sdtpldt0(sdtpldt0(xm,xl),X1)!=sdtpldt0(xm,xn)|~aNaturalNumber0(X1)|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[29275,35,theory(equality)])).
% cnf(30761,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xm,xl)|sdtpldt0(sdtpldt0(xm,xl),X1)!=sdtpldt0(xm,xn)|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[30759,66,theory(equality)])).
% cnf(30762,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xm,xl)|sdtpldt0(sdtpldt0(xm,xl),X1)!=sdtpldt0(xm,xn)|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[30761,74,theory(equality)])).
% cnf(30763,negated_conjecture,(sdtpldt0(xm,xn)=sdtpldt0(xm,xl)|sdtpldt0(sdtpldt0(xm,xl),X1)!=sdtpldt0(xm,xn)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[30762,theory(equality)])).
% cnf(30778,negated_conjecture,(sdtpldt0(xm,xl)=sdtpldt0(xm,xn)|sdtpldt0(xm,sdtpldt0(xl,X1))!=sdtpldt0(xm,xn)|~aNaturalNumber0(X1)|~aNaturalNumber0(xl)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[30763,38,theory(equality)])).
% cnf(30782,negated_conjecture,(sdtpldt0(xm,xl)=sdtpldt0(xm,xn)|sdtpldt0(xm,sdtpldt0(xl,X1))!=sdtpldt0(xm,xn)|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[30778,67,theory(equality)])).
% cnf(30783,negated_conjecture,(sdtpldt0(xm,xl)=sdtpldt0(xm,xn)|sdtpldt0(xm,sdtpldt0(xl,X1))!=sdtpldt0(xm,xn)|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[30782,74,theory(equality)])).
% cnf(30784,negated_conjecture,(sdtpldt0(xm,xl)=sdtpldt0(xm,xn)|sdtpldt0(xm,sdtpldt0(xl,X1))!=sdtpldt0(xm,xn)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[30783,theory(equality)])).
% cnf(30797,negated_conjecture,(sdtpldt0(xm,xl)=sdtpldt0(xm,xn)|~aNaturalNumber0(esk2_0)),inference(spm,[status(thm)],[30784,71,theory(equality)])).
% cnf(30829,negated_conjecture,(sdtpldt0(xm,xl)=sdtpldt0(xm,xn)|$false),inference(rw,[status(thm)],[30797,72,theory(equality)])).
% cnf(30830,negated_conjecture,(sdtpldt0(xm,xl)=sdtpldt0(xm,xn)),inference(cn,[status(thm)],[30829,theory(equality)])).
% cnf(30855,negated_conjecture,(sdtmndt0(sdtpldt0(xm,xn),xm)=xl|~aNaturalNumber0(xl)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[8999,30830,theory(equality)])).
% cnf(31369,negated_conjecture,(sdtmndt0(sdtpldt0(xm,xn),xm)=xl|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[30855,67,theory(equality)])).
% cnf(31370,negated_conjecture,(sdtmndt0(sdtpldt0(xm,xn),xm)=xl|$false|$false),inference(rw,[status(thm)],[31369,74,theory(equality)])).
% cnf(31371,negated_conjecture,(sdtmndt0(sdtpldt0(xm,xn),xm)=xl),inference(cn,[status(thm)],[31370,theory(equality)])).
% cnf(33421,negated_conjecture,(xl=xn|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[8999,31371,theory(equality)])).
% cnf(33432,negated_conjecture,(xl=xn|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[33421,66,theory(equality)])).
% cnf(33433,negated_conjecture,(xl=xn|$false|$false),inference(rw,[status(thm)],[33432,74,theory(equality)])).
% cnf(33434,negated_conjecture,(xl=xn),inference(cn,[status(thm)],[33433,theory(equality)])).
% cnf(33435,negated_conjecture,($false),inference(sr,[status(thm)],[33434,73,theory(equality)])).
% cnf(33436,negated_conjecture,($false),33435,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 2271
% # ...of these trivial : 94
% # ...subsumed : 1301
% # ...remaining for further processing: 876
% # Other redundant clauses eliminated : 32
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 73
% # Backward-rewritten : 339
% # Generated clauses : 12405
% # ...of the previous two non-trivial : 11303
% # Contextual simplify-reflections : 597
% # Paramodulations : 12305
% # Factorizations : 4
% # Equation resolutions : 96
% # Current number of processed clauses: 463
% # Positive orientable unit clauses: 128
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 4
% # Non-unit-clauses : 331
% # Current number of unprocessed clauses: 6723
% # ...number of literals in the above : 36099
% # Clause-clause subsumption calls (NU) : 29530
% # Rec. Clause-clause subsumption calls : 17250
% # Unit Clause-clause subsumption calls : 1435
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 906
% # Indexed BW rewrite successes : 34
% # Backwards rewriting index: 325 leaves, 1.62+/-2.496 terms/leaf
% # Paramod-from index: 163 leaves, 1.56+/-2.958 terms/leaf
% # Paramod-into index: 293 leaves, 1.64+/-2.568 terms/leaf
% # -------------------------------------------------
% # User time : 0.581 s
% # System time : 0.022 s
% # Total time : 0.603 s
% # Maximum resident set size: 0 pages
% PrfWatch: 1.12 CPU 1.20 WC
% FINAL PrfWatch: 1.12 CPU 1.20 WC
% SZS output end Solution for /tmp/SystemOnTPTP19732/NUM461+2.tptp
%
%------------------------------------------------------------------------------