TSTP Solution File: NUM623+3 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM623+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 : art05.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 20:40:43 EST 2010
% Result : Theorem 14.27s
% Output : Solution 14.27s
% 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/SystemOnTPTP22070/NUM623+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP22070/NUM623+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP22070/NUM623+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 22166
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.93 CPU 2.02 WC
% PrfWatch: 3.93 CPU 4.03 WC
% PrfWatch: 5.92 CPU 6.03 WC
% PrfWatch: 7.91 CPU 8.04 WC
% PrfWatch: 9.90 CPU 10.04 WC
% # Preprocessing time : 0.620 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 11.89 CPU 12.05 WC
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:(X1=slcrc0<=>(aSet0(X1)&~(?[X2]:aElementOf0(X2,X1)))),file('/tmp/SRASS.s.p', mDefEmp)).
% fof(30, axiom,![X1]:![X2]:((aElementOf0(X1,szNzAzT0)&aElementOf0(X2,szNzAzT0))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X1))=>X1=X2)),file('/tmp/SRASS.s.p', mLessASymm)).
% fof(41, axiom,![X1]:((aSubsetOf0(X1,szNzAzT0)&~(X1=slcrc0))=>![X2]:(X2=szmzizndt0(X1)<=>(aElementOf0(X2,X1)&![X3]:(aElementOf0(X3,X1)=>sdtlseqdt0(X2,X3))))),file('/tmp/SRASS.s.p', mDefMin)).
% fof(66, axiom,![X1]:(aElementOf0(X1,szNzAzT0)=>(((aSet0(sdtlpdtrp0(xN,X1))&![X2]:(aElementOf0(X2,sdtlpdtrp0(xN,X1))=>aElementOf0(X2,szNzAzT0)))&aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0))&isCountable0(sdtlpdtrp0(xN,X1)))),file('/tmp/SRASS.s.p', m__3671)).
% fof(85, axiom,(![X1]:(aElementOf0(X1,xQ)=>aElementOf0(X1,szNzAzT0))&aSubsetOf0(xQ,szNzAzT0)),file('/tmp/SRASS.s.p', m__5106)).
% fof(87, axiom,((aElementOf0(xp,xQ)&![X1]:(aElementOf0(X1,xQ)=>sdtlseqdt0(xp,X1)))&xp=szmzizndt0(xQ)),file('/tmp/SRASS.s.p', m__5147)).
% fof(97, axiom,(((aElement0(xx)&aElementOf0(xx,xQ))&~(xx=szmzizndt0(xQ)))&aElementOf0(xx,xP)),file('/tmp/SRASS.s.p', m__5348)).
% fof(98, axiom,(aElementOf0(xx,szNzAzT0)&?[X1]:(aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))&sdtlpdtrp0(xe,X1)=xx)),file('/tmp/SRASS.s.p', m__5365)).
% fof(99, axiom,(aElementOf0(xm,szNzAzT0)&xx=sdtlpdtrp0(xe,xm)),file('/tmp/SRASS.s.p', m__5389)).
% fof(100, axiom,![X1]:(aElementOf0(X1,sdtlpdtrp0(xN,xm))=>sdtlseqdt0(xx,X1)),file('/tmp/SRASS.s.p', m__5401)).
% fof(103, axiom,(aElementOf0(xp,sdtlpdtrp0(xN,xm))&aElementOf0(xx,xQ)),file('/tmp/SRASS.s.p', m__5481)).
% fof(120, conjecture,xp=xx,file('/tmp/SRASS.s.p', m__)).
% fof(121, negated_conjecture,~(xp=xx),inference(assume_negation,[status(cth)],[120])).
% fof(134, negated_conjecture,~(xp=xx),inference(fof_simplification,[status(thm)],[121,theory(equality)])).
% fof(147, plain,![X1]:((~(X1=slcrc0)|(aSet0(X1)&![X2]:~(aElementOf0(X2,X1))))&((~(aSet0(X1))|?[X2]:aElementOf0(X2,X1))|X1=slcrc0)),inference(fof_nnf,[status(thm)],[2])).
% fof(148, plain,![X3]:((~(X3=slcrc0)|(aSet0(X3)&![X4]:~(aElementOf0(X4,X3))))&((~(aSet0(X3))|?[X5]:aElementOf0(X5,X3))|X3=slcrc0)),inference(variable_rename,[status(thm)],[147])).
% fof(149, plain,![X3]:((~(X3=slcrc0)|(aSet0(X3)&![X4]:~(aElementOf0(X4,X3))))&((~(aSet0(X3))|aElementOf0(esk1_1(X3),X3))|X3=slcrc0)),inference(skolemize,[status(esa)],[148])).
% fof(150, plain,![X3]:![X4]:(((~(aElementOf0(X4,X3))&aSet0(X3))|~(X3=slcrc0))&((~(aSet0(X3))|aElementOf0(esk1_1(X3),X3))|X3=slcrc0)),inference(shift_quantors,[status(thm)],[149])).
% fof(151, plain,![X3]:![X4]:(((~(aElementOf0(X4,X3))|~(X3=slcrc0))&(aSet0(X3)|~(X3=slcrc0)))&((~(aSet0(X3))|aElementOf0(esk1_1(X3),X3))|X3=slcrc0)),inference(distribute,[status(thm)],[150])).
% cnf(154,plain,(X1!=slcrc0|~aElementOf0(X2,X1)),inference(split_conjunct,[status(thm)],[151])).
% fof(272, plain,![X1]:![X2]:((~(aElementOf0(X1,szNzAzT0))|~(aElementOf0(X2,szNzAzT0)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[30])).
% fof(273, plain,![X3]:![X4]:((~(aElementOf0(X3,szNzAzT0))|~(aElementOf0(X4,szNzAzT0)))|((~(sdtlseqdt0(X3,X4))|~(sdtlseqdt0(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[272])).
% cnf(274,plain,(X1=X2|~sdtlseqdt0(X2,X1)|~sdtlseqdt0(X1,X2)|~aElementOf0(X2,szNzAzT0)|~aElementOf0(X1,szNzAzT0)),inference(split_conjunct,[status(thm)],[273])).
% fof(315, plain,![X1]:((~(aSubsetOf0(X1,szNzAzT0))|X1=slcrc0)|![X2]:((~(X2=szmzizndt0(X1))|(aElementOf0(X2,X1)&![X3]:(~(aElementOf0(X3,X1))|sdtlseqdt0(X2,X3))))&((~(aElementOf0(X2,X1))|?[X3]:(aElementOf0(X3,X1)&~(sdtlseqdt0(X2,X3))))|X2=szmzizndt0(X1)))),inference(fof_nnf,[status(thm)],[41])).
% fof(316, plain,![X4]:((~(aSubsetOf0(X4,szNzAzT0))|X4=slcrc0)|![X5]:((~(X5=szmzizndt0(X4))|(aElementOf0(X5,X4)&![X6]:(~(aElementOf0(X6,X4))|sdtlseqdt0(X5,X6))))&((~(aElementOf0(X5,X4))|?[X7]:(aElementOf0(X7,X4)&~(sdtlseqdt0(X5,X7))))|X5=szmzizndt0(X4)))),inference(variable_rename,[status(thm)],[315])).
% fof(317, plain,![X4]:((~(aSubsetOf0(X4,szNzAzT0))|X4=slcrc0)|![X5]:((~(X5=szmzizndt0(X4))|(aElementOf0(X5,X4)&![X6]:(~(aElementOf0(X6,X4))|sdtlseqdt0(X5,X6))))&((~(aElementOf0(X5,X4))|(aElementOf0(esk7_2(X4,X5),X4)&~(sdtlseqdt0(X5,esk7_2(X4,X5)))))|X5=szmzizndt0(X4)))),inference(skolemize,[status(esa)],[316])).
% fof(318, plain,![X4]:![X5]:![X6]:(((((~(aElementOf0(X6,X4))|sdtlseqdt0(X5,X6))&aElementOf0(X5,X4))|~(X5=szmzizndt0(X4)))&((~(aElementOf0(X5,X4))|(aElementOf0(esk7_2(X4,X5),X4)&~(sdtlseqdt0(X5,esk7_2(X4,X5)))))|X5=szmzizndt0(X4)))|(~(aSubsetOf0(X4,szNzAzT0))|X4=slcrc0)),inference(shift_quantors,[status(thm)],[317])).
% fof(319, plain,![X4]:![X5]:![X6]:(((((~(aElementOf0(X6,X4))|sdtlseqdt0(X5,X6))|~(X5=szmzizndt0(X4)))|(~(aSubsetOf0(X4,szNzAzT0))|X4=slcrc0))&((aElementOf0(X5,X4)|~(X5=szmzizndt0(X4)))|(~(aSubsetOf0(X4,szNzAzT0))|X4=slcrc0)))&((((aElementOf0(esk7_2(X4,X5),X4)|~(aElementOf0(X5,X4)))|X5=szmzizndt0(X4))|(~(aSubsetOf0(X4,szNzAzT0))|X4=slcrc0))&(((~(sdtlseqdt0(X5,esk7_2(X4,X5)))|~(aElementOf0(X5,X4)))|X5=szmzizndt0(X4))|(~(aSubsetOf0(X4,szNzAzT0))|X4=slcrc0)))),inference(distribute,[status(thm)],[318])).
% cnf(323,plain,(X1=slcrc0|sdtlseqdt0(X2,X3)|~aSubsetOf0(X1,szNzAzT0)|X2!=szmzizndt0(X1)|~aElementOf0(X3,X1)),inference(split_conjunct,[status(thm)],[319])).
% fof(4464, plain,![X1]:(~(aElementOf0(X1,szNzAzT0))|(((aSet0(sdtlpdtrp0(xN,X1))&![X2]:(~(aElementOf0(X2,sdtlpdtrp0(xN,X1)))|aElementOf0(X2,szNzAzT0)))&aSubsetOf0(sdtlpdtrp0(xN,X1),szNzAzT0))&isCountable0(sdtlpdtrp0(xN,X1)))),inference(fof_nnf,[status(thm)],[66])).
% fof(4465, plain,![X3]:(~(aElementOf0(X3,szNzAzT0))|(((aSet0(sdtlpdtrp0(xN,X3))&![X4]:(~(aElementOf0(X4,sdtlpdtrp0(xN,X3)))|aElementOf0(X4,szNzAzT0)))&aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))&isCountable0(sdtlpdtrp0(xN,X3)))),inference(variable_rename,[status(thm)],[4464])).
% fof(4466, plain,![X3]:![X4]:(((((~(aElementOf0(X4,sdtlpdtrp0(xN,X3)))|aElementOf0(X4,szNzAzT0))&aSet0(sdtlpdtrp0(xN,X3)))&aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0))&isCountable0(sdtlpdtrp0(xN,X3)))|~(aElementOf0(X3,szNzAzT0))),inference(shift_quantors,[status(thm)],[4465])).
% fof(4467, plain,![X3]:![X4]:(((((~(aElementOf0(X4,sdtlpdtrp0(xN,X3)))|aElementOf0(X4,szNzAzT0))|~(aElementOf0(X3,szNzAzT0)))&(aSet0(sdtlpdtrp0(xN,X3))|~(aElementOf0(X3,szNzAzT0))))&(aSubsetOf0(sdtlpdtrp0(xN,X3),szNzAzT0)|~(aElementOf0(X3,szNzAzT0))))&(isCountable0(sdtlpdtrp0(xN,X3))|~(aElementOf0(X3,szNzAzT0)))),inference(distribute,[status(thm)],[4466])).
% cnf(4471,plain,(aElementOf0(X2,szNzAzT0)|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,sdtlpdtrp0(xN,X1))),inference(split_conjunct,[status(thm)],[4467])).
% fof(4613, plain,(![X1]:(~(aElementOf0(X1,xQ))|aElementOf0(X1,szNzAzT0))&aSubsetOf0(xQ,szNzAzT0)),inference(fof_nnf,[status(thm)],[85])).
% fof(4614, plain,(![X2]:(~(aElementOf0(X2,xQ))|aElementOf0(X2,szNzAzT0))&aSubsetOf0(xQ,szNzAzT0)),inference(variable_rename,[status(thm)],[4613])).
% fof(4615, plain,![X2]:((~(aElementOf0(X2,xQ))|aElementOf0(X2,szNzAzT0))&aSubsetOf0(xQ,szNzAzT0)),inference(shift_quantors,[status(thm)],[4614])).
% cnf(4616,plain,(aSubsetOf0(xQ,szNzAzT0)),inference(split_conjunct,[status(thm)],[4615])).
% fof(4626, plain,((aElementOf0(xp,xQ)&![X1]:(~(aElementOf0(X1,xQ))|sdtlseqdt0(xp,X1)))&xp=szmzizndt0(xQ)),inference(fof_nnf,[status(thm)],[87])).
% fof(4627, plain,((aElementOf0(xp,xQ)&![X2]:(~(aElementOf0(X2,xQ))|sdtlseqdt0(xp,X2)))&xp=szmzizndt0(xQ)),inference(variable_rename,[status(thm)],[4626])).
% fof(4628, plain,![X2]:(((~(aElementOf0(X2,xQ))|sdtlseqdt0(xp,X2))&aElementOf0(xp,xQ))&xp=szmzizndt0(xQ)),inference(shift_quantors,[status(thm)],[4627])).
% cnf(4629,plain,(xp=szmzizndt0(xQ)),inference(split_conjunct,[status(thm)],[4628])).
% cnf(4668,plain,(aElementOf0(xx,xQ)),inference(split_conjunct,[status(thm)],[97])).
% fof(4670, plain,(aElementOf0(xx,szNzAzT0)&?[X2]:(aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))&sdtlpdtrp0(xe,X2)=xx)),inference(variable_rename,[status(thm)],[98])).
% fof(4671, plain,(aElementOf0(xx,szNzAzT0)&(aElementOf0(esk37_0,sdtlbdtrb0(xd,szDzizrdt0(xd)))&sdtlpdtrp0(xe,esk37_0)=xx)),inference(skolemize,[status(esa)],[4670])).
% cnf(4674,plain,(aElementOf0(xx,szNzAzT0)),inference(split_conjunct,[status(thm)],[4671])).
% cnf(4676,plain,(aElementOf0(xm,szNzAzT0)),inference(split_conjunct,[status(thm)],[99])).
% fof(4677, plain,![X1]:(~(aElementOf0(X1,sdtlpdtrp0(xN,xm)))|sdtlseqdt0(xx,X1)),inference(fof_nnf,[status(thm)],[100])).
% fof(4678, plain,![X2]:(~(aElementOf0(X2,sdtlpdtrp0(xN,xm)))|sdtlseqdt0(xx,X2)),inference(variable_rename,[status(thm)],[4677])).
% cnf(4679,plain,(sdtlseqdt0(xx,X1)|~aElementOf0(X1,sdtlpdtrp0(xN,xm))),inference(split_conjunct,[status(thm)],[4678])).
% cnf(4692,plain,(aElementOf0(xp,sdtlpdtrp0(xN,xm))),inference(split_conjunct,[status(thm)],[103])).
% cnf(4762,negated_conjecture,(xp!=xx),inference(split_conjunct,[status(thm)],[134])).
% cnf(5451,plain,(sdtlseqdt0(X2,X3)|szmzizndt0(X1)!=X2|~aSubsetOf0(X1,szNzAzT0)|~aElementOf0(X3,X1)),inference(csr,[status(thm)],[323,154])).
% cnf(8633,plain,(sdtlseqdt0(xx,xp)),inference(spm,[status(thm)],[4679,4692,theory(equality)])).
% cnf(8888,plain,(aElementOf0(xp,szNzAzT0)|~aElementOf0(xm,szNzAzT0)),inference(spm,[status(thm)],[4471,4692,theory(equality)])).
% cnf(8893,plain,(aElementOf0(xp,szNzAzT0)|$false),inference(rw,[status(thm)],[8888,4676,theory(equality)])).
% cnf(8894,plain,(aElementOf0(xp,szNzAzT0)),inference(cn,[status(thm)],[8893,theory(equality)])).
% cnf(9056,plain,(sdtlseqdt0(X1,xx)|szmzizndt0(xQ)!=X1|~aSubsetOf0(xQ,szNzAzT0)),inference(spm,[status(thm)],[5451,4668,theory(equality)])).
% cnf(9083,plain,(sdtlseqdt0(X1,xx)|xp!=X1|~aSubsetOf0(xQ,szNzAzT0)),inference(rw,[status(thm)],[9056,4629,theory(equality)])).
% cnf(9084,plain,(sdtlseqdt0(X1,xx)|xp!=X1|$false),inference(rw,[status(thm)],[9083,4616,theory(equality)])).
% cnf(9085,plain,(sdtlseqdt0(X1,xx)|xp!=X1),inference(cn,[status(thm)],[9084,theory(equality)])).
% cnf(82752,plain,(xp=xx|~sdtlseqdt0(xp,xx)|~aElementOf0(xx,szNzAzT0)|~aElementOf0(xp,szNzAzT0)),inference(spm,[status(thm)],[274,8633,theory(equality)])).
% cnf(82755,plain,(xp=xx|~sdtlseqdt0(xp,xx)|$false|~aElementOf0(xp,szNzAzT0)),inference(rw,[status(thm)],[82752,4674,theory(equality)])).
% cnf(82756,plain,(xp=xx|~sdtlseqdt0(xp,xx)|~aElementOf0(xp,szNzAzT0)),inference(cn,[status(thm)],[82755,theory(equality)])).
% cnf(82757,plain,(~sdtlseqdt0(xp,xx)|~aElementOf0(xp,szNzAzT0)),inference(sr,[status(thm)],[82756,4762,theory(equality)])).
% cnf(83314,plain,(~sdtlseqdt0(xp,xx)|$false),inference(rw,[status(thm)],[82757,8894,theory(equality)])).
% cnf(83315,plain,(~sdtlseqdt0(xp,xx)),inference(cn,[status(thm)],[83314,theory(equality)])).
% cnf(83317,plain,($false),inference(spm,[status(thm)],[83315,9085,theory(equality)])).
% cnf(83319,plain,($false),83317,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 6745
% # ...of these trivial : 11
% # ...subsumed : 553
% # ...remaining for further processing: 6181
% # Other redundant clauses eliminated : 15
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 4
% # Backward-rewritten : 4
% # Generated clauses : 57660
% # ...of the previous two non-trivial : 48947
% # Contextual simplify-reflections : 3069
% # Paramodulations : 57610
% # Factorizations : 0
% # Equation resolutions : 45
% # Current number of processed clauses: 3104
% # Positive orientable unit clauses: 90
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 19
% # Non-unit-clauses : 2995
% # Current number of unprocessed clauses: 48826
% # ...number of literals in the above : 722409
% # Clause-clause subsumption calls (NU) : 1916219
% # Rec. Clause-clause subsumption calls : 45686
% # Unit Clause-clause subsumption calls : 40058
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 2
% # Indexed BW rewrite successes : 2
% # Backwards rewriting index: 421 leaves, 2.10+/-2.757 terms/leaf
% # Paramod-from index: 207 leaves, 1.01+/-0.120 terms/leaf
% # Paramod-into index: 378 leaves, 1.53+/-1.466 terms/leaf
% # -------------------------------------------------
% # User time : 10.183 s
% # System time : 0.163 s
% # Total time : 10.346 s
% # Maximum resident set size: 0 pages
% PrfWatch: 13.18 CPU 13.39 WC
% FINAL PrfWatch: 13.18 CPU 13.39 WC
% SZS output end Solution for /tmp/SystemOnTPTP22070/NUM623+3.tptp
%
%------------------------------------------------------------------------------