TSTP Solution File: RNG087+1 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : RNG087+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 : art04.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 22:28:50 EST 2010

% Result   : Theorem 34.62s
% Output   : Solution 34.62s
% 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/SystemOnTPTP32098/RNG087+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP32098/RNG087+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP32098/RNG087+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 32194
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.91 CPU 4.01 WC
% PrfWatch: 5.90 CPU 6.02 WC
% PrfWatch: 7.89 CPU 8.02 WC
% PrfWatch: 9.88 CPU 10.03 WC
% PrfWatch: 11.87 CPU 12.03 WC
% PrfWatch: 13.85 CPU 14.04 WC
% PrfWatch: 15.84 CPU 16.04 WC
% PrfWatch: 17.81 CPU 18.05 WC
% PrfWatch: 19.81 CPU 20.05 WC
% # Preprocessing time     : 0.016 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 21.79 CPU 22.06 WC
% PrfWatch: 23.78 CPU 24.06 WC
% PrfWatch: 25.78 CPU 26.07 WC
% PrfWatch: 27.77 CPU 28.07 WC
% PrfWatch: 29.56 CPU 30.08 WC
% PrfWatch: 31.16 CPU 32.08 WC
% PrfWatch: 33.02 CPU 34.09 WC
% # SZS output start CNFRefutation.
% fof(4, axiom,(aIdeal0(xI)&aIdeal0(xJ)),file('/tmp/SRASS.s.p', m__870)).
% fof(5, axiom,((aElementOf0(xx,sdtpldt1(xI,xJ))&aElementOf0(xy,sdtpldt1(xI,xJ)))&aElement0(xz)),file('/tmp/SRASS.s.p', m__901)).
% fof(7, axiom,![X1]:![X2]:((aSet0(X1)&aSet0(X2))=>![X3]:(X3=sdtpldt1(X1,X2)<=>(aSet0(X3)&![X4]:(aElementOf0(X4,X3)<=>?[X5]:?[X6]:((aElementOf0(X5,X1)&aElementOf0(X6,X2))&sdtpldt0(X5,X6)=X4))))),file('/tmp/SRASS.s.p', mDefSSum)).
% fof(9, axiom,![X1]:(aIdeal0(X1)<=>(aSet0(X1)&![X2]:(aElementOf0(X2,X1)=>(![X3]:(aElementOf0(X3,X1)=>aElementOf0(sdtpldt0(X2,X3),X1))&![X3]:(aElement0(X3)=>aElementOf0(sdtasdt0(X3,X2),X1)))))),file('/tmp/SRASS.s.p', mDefIdeal)).
% fof(28, conjecture,?[X1]:?[X2]:((aElementOf0(X1,xI)&aElementOf0(X2,xJ))&xy=sdtpldt0(X1,X2)),file('/tmp/SRASS.s.p', m__)).
% fof(29, negated_conjecture,~(?[X1]:?[X2]:((aElementOf0(X1,xI)&aElementOf0(X2,xJ))&xy=sdtpldt0(X1,X2))),inference(assume_negation,[status(cth)],[28])).
% cnf(41,plain,(aIdeal0(xJ)),inference(split_conjunct,[status(thm)],[4])).
% cnf(42,plain,(aIdeal0(xI)),inference(split_conjunct,[status(thm)],[4])).
% cnf(44,plain,(aElementOf0(xy,sdtpldt1(xI,xJ))),inference(split_conjunct,[status(thm)],[5])).
% fof(49, plain,![X1]:![X2]:((~(aSet0(X1))|~(aSet0(X2)))|![X3]:((~(X3=sdtpldt1(X1,X2))|(aSet0(X3)&![X4]:((~(aElementOf0(X4,X3))|?[X5]:?[X6]:((aElementOf0(X5,X1)&aElementOf0(X6,X2))&sdtpldt0(X5,X6)=X4))&(![X5]:![X6]:((~(aElementOf0(X5,X1))|~(aElementOf0(X6,X2)))|~(sdtpldt0(X5,X6)=X4))|aElementOf0(X4,X3)))))&((~(aSet0(X3))|?[X4]:((~(aElementOf0(X4,X3))|![X5]:![X6]:((~(aElementOf0(X5,X1))|~(aElementOf0(X6,X2)))|~(sdtpldt0(X5,X6)=X4)))&(aElementOf0(X4,X3)|?[X5]:?[X6]:((aElementOf0(X5,X1)&aElementOf0(X6,X2))&sdtpldt0(X5,X6)=X4))))|X3=sdtpldt1(X1,X2)))),inference(fof_nnf,[status(thm)],[7])).
% fof(50, plain,![X7]:![X8]:((~(aSet0(X7))|~(aSet0(X8)))|![X9]:((~(X9=sdtpldt1(X7,X8))|(aSet0(X9)&![X10]:((~(aElementOf0(X10,X9))|?[X11]:?[X12]:((aElementOf0(X11,X7)&aElementOf0(X12,X8))&sdtpldt0(X11,X12)=X10))&(![X13]:![X14]:((~(aElementOf0(X13,X7))|~(aElementOf0(X14,X8)))|~(sdtpldt0(X13,X14)=X10))|aElementOf0(X10,X9)))))&((~(aSet0(X9))|?[X15]:((~(aElementOf0(X15,X9))|![X16]:![X17]:((~(aElementOf0(X16,X7))|~(aElementOf0(X17,X8)))|~(sdtpldt0(X16,X17)=X15)))&(aElementOf0(X15,X9)|?[X18]:?[X19]:((aElementOf0(X18,X7)&aElementOf0(X19,X8))&sdtpldt0(X18,X19)=X15))))|X9=sdtpldt1(X7,X8)))),inference(variable_rename,[status(thm)],[49])).
% fof(51, plain,![X7]:![X8]:((~(aSet0(X7))|~(aSet0(X8)))|![X9]:((~(X9=sdtpldt1(X7,X8))|(aSet0(X9)&![X10]:((~(aElementOf0(X10,X9))|((aElementOf0(esk1_4(X7,X8,X9,X10),X7)&aElementOf0(esk2_4(X7,X8,X9,X10),X8))&sdtpldt0(esk1_4(X7,X8,X9,X10),esk2_4(X7,X8,X9,X10))=X10))&(![X13]:![X14]:((~(aElementOf0(X13,X7))|~(aElementOf0(X14,X8)))|~(sdtpldt0(X13,X14)=X10))|aElementOf0(X10,X9)))))&((~(aSet0(X9))|((~(aElementOf0(esk3_3(X7,X8,X9),X9))|![X16]:![X17]:((~(aElementOf0(X16,X7))|~(aElementOf0(X17,X8)))|~(sdtpldt0(X16,X17)=esk3_3(X7,X8,X9))))&(aElementOf0(esk3_3(X7,X8,X9),X9)|((aElementOf0(esk4_3(X7,X8,X9),X7)&aElementOf0(esk5_3(X7,X8,X9),X8))&sdtpldt0(esk4_3(X7,X8,X9),esk5_3(X7,X8,X9))=esk3_3(X7,X8,X9)))))|X9=sdtpldt1(X7,X8)))),inference(skolemize,[status(esa)],[50])).
% fof(52, plain,![X7]:![X8]:![X9]:![X10]:![X13]:![X14]:![X16]:![X17]:((((((((~(aElementOf0(X16,X7))|~(aElementOf0(X17,X8)))|~(sdtpldt0(X16,X17)=esk3_3(X7,X8,X9)))|~(aElementOf0(esk3_3(X7,X8,X9),X9)))&(aElementOf0(esk3_3(X7,X8,X9),X9)|((aElementOf0(esk4_3(X7,X8,X9),X7)&aElementOf0(esk5_3(X7,X8,X9),X8))&sdtpldt0(esk4_3(X7,X8,X9),esk5_3(X7,X8,X9))=esk3_3(X7,X8,X9))))|~(aSet0(X9)))|X9=sdtpldt1(X7,X8))&((((((~(aElementOf0(X13,X7))|~(aElementOf0(X14,X8)))|~(sdtpldt0(X13,X14)=X10))|aElementOf0(X10,X9))&(~(aElementOf0(X10,X9))|((aElementOf0(esk1_4(X7,X8,X9,X10),X7)&aElementOf0(esk2_4(X7,X8,X9,X10),X8))&sdtpldt0(esk1_4(X7,X8,X9,X10),esk2_4(X7,X8,X9,X10))=X10)))&aSet0(X9))|~(X9=sdtpldt1(X7,X8))))|(~(aSet0(X7))|~(aSet0(X8)))),inference(shift_quantors,[status(thm)],[51])).
% fof(53, plain,![X7]:![X8]:![X9]:![X10]:![X13]:![X14]:![X16]:![X17]:((((((((~(aElementOf0(X16,X7))|~(aElementOf0(X17,X8)))|~(sdtpldt0(X16,X17)=esk3_3(X7,X8,X9)))|~(aElementOf0(esk3_3(X7,X8,X9),X9)))|~(aSet0(X9)))|X9=sdtpldt1(X7,X8))|(~(aSet0(X7))|~(aSet0(X8))))&((((((aElementOf0(esk4_3(X7,X8,X9),X7)|aElementOf0(esk3_3(X7,X8,X9),X9))|~(aSet0(X9)))|X9=sdtpldt1(X7,X8))|(~(aSet0(X7))|~(aSet0(X8))))&((((aElementOf0(esk5_3(X7,X8,X9),X8)|aElementOf0(esk3_3(X7,X8,X9),X9))|~(aSet0(X9)))|X9=sdtpldt1(X7,X8))|(~(aSet0(X7))|~(aSet0(X8)))))&((((sdtpldt0(esk4_3(X7,X8,X9),esk5_3(X7,X8,X9))=esk3_3(X7,X8,X9)|aElementOf0(esk3_3(X7,X8,X9),X9))|~(aSet0(X9)))|X9=sdtpldt1(X7,X8))|(~(aSet0(X7))|~(aSet0(X8))))))&(((((((~(aElementOf0(X13,X7))|~(aElementOf0(X14,X8)))|~(sdtpldt0(X13,X14)=X10))|aElementOf0(X10,X9))|~(X9=sdtpldt1(X7,X8)))|(~(aSet0(X7))|~(aSet0(X8))))&(((((aElementOf0(esk1_4(X7,X8,X9,X10),X7)|~(aElementOf0(X10,X9)))|~(X9=sdtpldt1(X7,X8)))|(~(aSet0(X7))|~(aSet0(X8))))&(((aElementOf0(esk2_4(X7,X8,X9,X10),X8)|~(aElementOf0(X10,X9)))|~(X9=sdtpldt1(X7,X8)))|(~(aSet0(X7))|~(aSet0(X8)))))&(((sdtpldt0(esk1_4(X7,X8,X9,X10),esk2_4(X7,X8,X9,X10))=X10|~(aElementOf0(X10,X9)))|~(X9=sdtpldt1(X7,X8)))|(~(aSet0(X7))|~(aSet0(X8))))))&((aSet0(X9)|~(X9=sdtpldt1(X7,X8)))|(~(aSet0(X7))|~(aSet0(X8)))))),inference(distribute,[status(thm)],[52])).
% cnf(55,plain,(sdtpldt0(esk1_4(X2,X1,X3,X4),esk2_4(X2,X1,X3,X4))=X4|~aSet0(X1)|~aSet0(X2)|X3!=sdtpldt1(X2,X1)|~aElementOf0(X4,X3)),inference(split_conjunct,[status(thm)],[53])).
% cnf(56,plain,(aElementOf0(esk2_4(X2,X1,X3,X4),X1)|~aSet0(X1)|~aSet0(X2)|X3!=sdtpldt1(X2,X1)|~aElementOf0(X4,X3)),inference(split_conjunct,[status(thm)],[53])).
% cnf(57,plain,(aElementOf0(esk1_4(X2,X1,X3,X4),X2)|~aSet0(X1)|~aSet0(X2)|X3!=sdtpldt1(X2,X1)|~aElementOf0(X4,X3)),inference(split_conjunct,[status(thm)],[53])).
% fof(68, plain,![X1]:((~(aIdeal0(X1))|(aSet0(X1)&![X2]:(~(aElementOf0(X2,X1))|(![X3]:(~(aElementOf0(X3,X1))|aElementOf0(sdtpldt0(X2,X3),X1))&![X3]:(~(aElement0(X3))|aElementOf0(sdtasdt0(X3,X2),X1))))))&((~(aSet0(X1))|?[X2]:(aElementOf0(X2,X1)&(?[X3]:(aElementOf0(X3,X1)&~(aElementOf0(sdtpldt0(X2,X3),X1)))|?[X3]:(aElement0(X3)&~(aElementOf0(sdtasdt0(X3,X2),X1))))))|aIdeal0(X1))),inference(fof_nnf,[status(thm)],[9])).
% fof(69, plain,![X4]:((~(aIdeal0(X4))|(aSet0(X4)&![X5]:(~(aElementOf0(X5,X4))|(![X6]:(~(aElementOf0(X6,X4))|aElementOf0(sdtpldt0(X5,X6),X4))&![X7]:(~(aElement0(X7))|aElementOf0(sdtasdt0(X7,X5),X4))))))&((~(aSet0(X4))|?[X8]:(aElementOf0(X8,X4)&(?[X9]:(aElementOf0(X9,X4)&~(aElementOf0(sdtpldt0(X8,X9),X4)))|?[X10]:(aElement0(X10)&~(aElementOf0(sdtasdt0(X10,X8),X4))))))|aIdeal0(X4))),inference(variable_rename,[status(thm)],[68])).
% fof(70, plain,![X4]:((~(aIdeal0(X4))|(aSet0(X4)&![X5]:(~(aElementOf0(X5,X4))|(![X6]:(~(aElementOf0(X6,X4))|aElementOf0(sdtpldt0(X5,X6),X4))&![X7]:(~(aElement0(X7))|aElementOf0(sdtasdt0(X7,X5),X4))))))&((~(aSet0(X4))|(aElementOf0(esk6_1(X4),X4)&((aElementOf0(esk7_1(X4),X4)&~(aElementOf0(sdtpldt0(esk6_1(X4),esk7_1(X4)),X4)))|(aElement0(esk8_1(X4))&~(aElementOf0(sdtasdt0(esk8_1(X4),esk6_1(X4)),X4))))))|aIdeal0(X4))),inference(skolemize,[status(esa)],[69])).
% fof(71, plain,![X4]:![X5]:![X6]:![X7]:((((((~(aElement0(X7))|aElementOf0(sdtasdt0(X7,X5),X4))&(~(aElementOf0(X6,X4))|aElementOf0(sdtpldt0(X5,X6),X4)))|~(aElementOf0(X5,X4)))&aSet0(X4))|~(aIdeal0(X4)))&((~(aSet0(X4))|(aElementOf0(esk6_1(X4),X4)&((aElementOf0(esk7_1(X4),X4)&~(aElementOf0(sdtpldt0(esk6_1(X4),esk7_1(X4)),X4)))|(aElement0(esk8_1(X4))&~(aElementOf0(sdtasdt0(esk8_1(X4),esk6_1(X4)),X4))))))|aIdeal0(X4))),inference(shift_quantors,[status(thm)],[70])).
% fof(72, plain,![X4]:![X5]:![X6]:![X7]:((((((~(aElement0(X7))|aElementOf0(sdtasdt0(X7,X5),X4))|~(aElementOf0(X5,X4)))|~(aIdeal0(X4)))&(((~(aElementOf0(X6,X4))|aElementOf0(sdtpldt0(X5,X6),X4))|~(aElementOf0(X5,X4)))|~(aIdeal0(X4))))&(aSet0(X4)|~(aIdeal0(X4))))&(((aElementOf0(esk6_1(X4),X4)|~(aSet0(X4)))|aIdeal0(X4))&(((((aElement0(esk8_1(X4))|aElementOf0(esk7_1(X4),X4))|~(aSet0(X4)))|aIdeal0(X4))&(((~(aElementOf0(sdtasdt0(esk8_1(X4),esk6_1(X4)),X4))|aElementOf0(esk7_1(X4),X4))|~(aSet0(X4)))|aIdeal0(X4)))&((((aElement0(esk8_1(X4))|~(aElementOf0(sdtpldt0(esk6_1(X4),esk7_1(X4)),X4)))|~(aSet0(X4)))|aIdeal0(X4))&(((~(aElementOf0(sdtasdt0(esk8_1(X4),esk6_1(X4)),X4))|~(aElementOf0(sdtpldt0(esk6_1(X4),esk7_1(X4)),X4)))|~(aSet0(X4)))|aIdeal0(X4)))))),inference(distribute,[status(thm)],[71])).
% cnf(78,plain,(aSet0(X1)|~aIdeal0(X1)),inference(split_conjunct,[status(thm)],[72])).
% fof(152, negated_conjecture,![X1]:![X2]:((~(aElementOf0(X1,xI))|~(aElementOf0(X2,xJ)))|~(xy=sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[29])).
% fof(153, negated_conjecture,![X3]:![X4]:((~(aElementOf0(X3,xI))|~(aElementOf0(X4,xJ)))|~(xy=sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[152])).
% cnf(154,negated_conjecture,(xy!=sdtpldt0(X1,X2)|~aElementOf0(X2,xJ)|~aElementOf0(X1,xI)),inference(split_conjunct,[status(thm)],[153])).
% cnf(155,plain,(aSet0(xJ)),inference(spm,[status(thm)],[78,41,theory(equality)])).
% cnf(156,plain,(aSet0(xI)),inference(spm,[status(thm)],[78,42,theory(equality)])).
% cnf(343,negated_conjecture,(X4!=xy|~aElementOf0(esk2_4(X1,X2,X3,X4),xJ)|~aElementOf0(esk1_4(X1,X2,X3,X4),xI)|sdtpldt1(X1,X2)!=X3|~aSet0(X1)|~aSet0(X2)|~aElementOf0(X4,X3)),inference(spm,[status(thm)],[154,55,theory(equality)])).
% cnf(4641,negated_conjecture,(sdtpldt1(X1,xJ)!=X2|X3!=xy|~aSet0(X1)|~aSet0(xJ)|~aElementOf0(esk1_4(X1,xJ,X2,X3),xI)|~aElementOf0(X3,X2)),inference(spm,[status(thm)],[343,56,theory(equality)])).
% cnf(4642,negated_conjecture,(sdtpldt1(X1,xJ)!=X2|X3!=xy|~aSet0(X1)|$false|~aElementOf0(esk1_4(X1,xJ,X2,X3),xI)|~aElementOf0(X3,X2)),inference(rw,[status(thm)],[4641,155,theory(equality)])).
% cnf(4643,negated_conjecture,(sdtpldt1(X1,xJ)!=X2|X3!=xy|~aSet0(X1)|~aElementOf0(esk1_4(X1,xJ,X2,X3),xI)|~aElementOf0(X3,X2)),inference(cn,[status(thm)],[4642,theory(equality)])).
% cnf(817160,negated_conjecture,(sdtpldt1(xI,xJ)!=X1|X2!=xy|~aSet0(xI)|~aElementOf0(X2,X1)|~aSet0(xJ)),inference(spm,[status(thm)],[4643,57,theory(equality)])).
% cnf(817167,negated_conjecture,(sdtpldt1(xI,xJ)!=X1|X2!=xy|$false|~aElementOf0(X2,X1)|~aSet0(xJ)),inference(rw,[status(thm)],[817160,156,theory(equality)])).
% cnf(817168,negated_conjecture,(sdtpldt1(xI,xJ)!=X1|X2!=xy|$false|~aElementOf0(X2,X1)|$false),inference(rw,[status(thm)],[817167,155,theory(equality)])).
% cnf(817169,negated_conjecture,(sdtpldt1(xI,xJ)!=X1|X2!=xy|~aElementOf0(X2,X1)),inference(cn,[status(thm)],[817168,theory(equality)])).
% cnf(822357,negated_conjecture,(X1!=xy|~aElementOf0(X1,sdtpldt1(xI,xJ))),inference(er,[status(thm)],[817169,theory(equality)])).
% cnf(822375,negated_conjecture,($false),inference(spm,[status(thm)],[822357,44,theory(equality)])).
% cnf(822384,negated_conjecture,($false),822375,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 9512
% # ...of these trivial                : 18
% # ...subsumed                        : 7954
% # ...remaining for further processing: 1540
% # Other redundant clauses eliminated : 13
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 23
% # Backward-rewritten                 : 29
% # Generated clauses                  : 476862
% # ...of the previous two non-trivial : 473510
% # Contextual simplify-reflections    : 1721
% # Paramodulations                    : 476801
% # Factorizations                     : 0
% # Equation resolutions               : 61
% # Current number of processed clauses: 1488
% #    Positive orientable unit clauses: 36
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 23
% #    Non-unit-clauses                : 1429
% # Current number of unprocessed clauses: 462300
% # ...number of literals in the above : 3358984
% # Clause-clause subsumption calls (NU) : 404482
% # Rec. Clause-clause subsumption calls : 91424
% # Unit Clause-clause subsumption calls : 1147
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 11
% # Indexed BW rewrite successes       : 11
% # Backwards rewriting index:   758 leaves,   2.26+/-3.018 terms/leaf
% # Paramod-from index:          370 leaves,   1.53+/-1.667 terms/leaf
% # Paramod-into index:          649 leaves,   1.90+/-2.370 terms/leaf
% # -------------------------------------------------
% # User time              : 18.992 s
% # System time            : 0.742 s
% # Total time             : 19.734 s
% # Maximum resident set size: 0 pages
% PrfWatch: 33.73 CPU 34.79 WC
% FINAL PrfWatch: 33.73 CPU 34.79 WC
% SZS output end Solution for /tmp/SystemOnTPTP32098/RNG087+1.tptp
% 
%------------------------------------------------------------------------------