TSTP Solution File: SWV489+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SWV489+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 : art09.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 : Thu Dec 30 09:13:46 EST 2010
% Result : Theorem 1.84s
% Output : Solution 1.84s
% 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/SystemOnTPTP9635/SWV489+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP9635/SWV489+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP9635/SWV489+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 9731
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.013 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:(int_leq(X1,X2)<=>(int_less(X1,X2)|X1=X2)),file('/tmp/SRASS.s.p', int_leq)).
% fof(4, axiom,![X1]:![X2]:(int_less(X1,X2)|int_leq(X2,X1)),file('/tmp/SRASS.s.p', int_less_total)).
% fof(9, axiom,![X1]:![X2]:(int_less(X1,X2)<=>?[X3]:(plus(X1,X3)=X2&int_less(int_zero,X3))),file('/tmp/SRASS.s.p', plus_and_inverse)).
% fof(12, axiom,![X1]:![X2]:((((int_leq(int_one,X1)&int_leq(X1,n))&int_leq(int_one,X2))&int_leq(X2,n))=>((![X8]:((int_less(int_zero,X8)&X1=plus(X2,X8))=>![X3]:((int_leq(int_one,X3)&int_leq(X3,X2))=>a(plus(X3,X8),X3)=real_zero))&![X3]:((int_leq(int_one,X3)&int_leq(X3,X2))=>a(X3,X3)=real_one))&![X8]:((int_less(int_zero,X8)&X2=plus(X1,X8))=>![X3]:((int_leq(int_one,X3)&int_leq(X3,X1))=>a(X3,plus(X3,X8))=real_zero)))),file('/tmp/SRASS.s.p', qii)).
% fof(13, conjecture,![X1]:![X2]:(((((int_leq(int_one,X1)&int_leq(X1,n))&int_leq(int_one,X2))&int_leq(X2,n))&~(X1=X2))=>a(X1,X2)=real_zero),file('/tmp/SRASS.s.p', d)).
% fof(14, negated_conjecture,~(![X1]:![X2]:(((((int_leq(int_one,X1)&int_leq(X1,n))&int_leq(int_one,X2))&int_leq(X2,n))&~(X1=X2))=>a(X1,X2)=real_zero)),inference(assume_negation,[status(cth)],[13])).
% fof(15, plain,![X2]:![X1]:(epred1_2(X1,X2)=>((![X8]:((int_less(int_zero,X8)&X1=plus(X2,X8))=>![X3]:((int_leq(int_one,X3)&int_leq(X3,X2))=>a(plus(X3,X8),X3)=real_zero))&![X3]:((int_leq(int_one,X3)&int_leq(X3,X2))=>a(X3,X3)=real_one))&![X8]:((int_less(int_zero,X8)&X2=plus(X1,X8))=>![X3]:((int_leq(int_one,X3)&int_leq(X3,X1))=>a(X3,plus(X3,X8))=real_zero)))),introduced(definition)).
% fof(16, plain,![X1]:![X2]:((((int_leq(int_one,X1)&int_leq(X1,n))&int_leq(int_one,X2))&int_leq(X2,n))=>epred1_2(X1,X2)),inference(apply_def,[status(esa)],[12,15,theory(equality)])).
% fof(17, plain,![X1]:![X2]:((~(int_leq(X1,X2))|(int_less(X1,X2)|X1=X2))&((~(int_less(X1,X2))&~(X1=X2))|int_leq(X1,X2))),inference(fof_nnf,[status(thm)],[1])).
% fof(18, plain,![X3]:![X4]:((~(int_leq(X3,X4))|(int_less(X3,X4)|X3=X4))&((~(int_less(X3,X4))&~(X3=X4))|int_leq(X3,X4))),inference(variable_rename,[status(thm)],[17])).
% fof(19, plain,![X3]:![X4]:((~(int_leq(X3,X4))|(int_less(X3,X4)|X3=X4))&((~(int_less(X3,X4))|int_leq(X3,X4))&(~(X3=X4)|int_leq(X3,X4)))),inference(distribute,[status(thm)],[18])).
% cnf(20,plain,(int_leq(X1,X2)|X1!=X2),inference(split_conjunct,[status(thm)],[19])).
% cnf(22,plain,(X1=X2|int_less(X1,X2)|~int_leq(X1,X2)),inference(split_conjunct,[status(thm)],[19])).
% fof(29, plain,![X3]:![X4]:(int_less(X3,X4)|int_leq(X4,X3)),inference(variable_rename,[status(thm)],[4])).
% cnf(30,plain,(int_leq(X1,X2)|int_less(X2,X1)),inference(split_conjunct,[status(thm)],[29])).
% fof(39, plain,![X1]:![X2]:((~(int_less(X1,X2))|?[X3]:(plus(X1,X3)=X2&int_less(int_zero,X3)))&(![X3]:(~(plus(X1,X3)=X2)|~(int_less(int_zero,X3)))|int_less(X1,X2))),inference(fof_nnf,[status(thm)],[9])).
% fof(40, plain,![X4]:![X5]:((~(int_less(X4,X5))|?[X6]:(plus(X4,X6)=X5&int_less(int_zero,X6)))&(![X7]:(~(plus(X4,X7)=X5)|~(int_less(int_zero,X7)))|int_less(X4,X5))),inference(variable_rename,[status(thm)],[39])).
% fof(41, plain,![X4]:![X5]:((~(int_less(X4,X5))|(plus(X4,esk1_2(X4,X5))=X5&int_less(int_zero,esk1_2(X4,X5))))&(![X7]:(~(plus(X4,X7)=X5)|~(int_less(int_zero,X7)))|int_less(X4,X5))),inference(skolemize,[status(esa)],[40])).
% fof(42, plain,![X4]:![X5]:![X7]:(((~(plus(X4,X7)=X5)|~(int_less(int_zero,X7)))|int_less(X4,X5))&(~(int_less(X4,X5))|(plus(X4,esk1_2(X4,X5))=X5&int_less(int_zero,esk1_2(X4,X5))))),inference(shift_quantors,[status(thm)],[41])).
% fof(43, plain,![X4]:![X5]:![X7]:(((~(plus(X4,X7)=X5)|~(int_less(int_zero,X7)))|int_less(X4,X5))&((plus(X4,esk1_2(X4,X5))=X5|~(int_less(X4,X5)))&(int_less(int_zero,esk1_2(X4,X5))|~(int_less(X4,X5))))),inference(distribute,[status(thm)],[42])).
% cnf(44,plain,(int_less(int_zero,esk1_2(X1,X2))|~int_less(X1,X2)),inference(split_conjunct,[status(thm)],[43])).
% cnf(45,plain,(plus(X1,esk1_2(X1,X2))=X2|~int_less(X1,X2)),inference(split_conjunct,[status(thm)],[43])).
% fof(52, plain,![X1]:![X2]:((((~(int_leq(int_one,X1))|~(int_leq(X1,n)))|~(int_leq(int_one,X2)))|~(int_leq(X2,n)))|epred1_2(X1,X2)),inference(fof_nnf,[status(thm)],[16])).
% fof(53, plain,![X3]:![X4]:((((~(int_leq(int_one,X3))|~(int_leq(X3,n)))|~(int_leq(int_one,X4)))|~(int_leq(X4,n)))|epred1_2(X3,X4)),inference(variable_rename,[status(thm)],[52])).
% cnf(54,plain,(epred1_2(X1,X2)|~int_leq(X2,n)|~int_leq(int_one,X2)|~int_leq(X1,n)|~int_leq(int_one,X1)),inference(split_conjunct,[status(thm)],[53])).
% fof(55, negated_conjecture,?[X1]:?[X2]:(((((int_leq(int_one,X1)&int_leq(X1,n))&int_leq(int_one,X2))&int_leq(X2,n))&~(X1=X2))&~(a(X1,X2)=real_zero)),inference(fof_nnf,[status(thm)],[14])).
% fof(56, negated_conjecture,?[X3]:?[X4]:(((((int_leq(int_one,X3)&int_leq(X3,n))&int_leq(int_one,X4))&int_leq(X4,n))&~(X3=X4))&~(a(X3,X4)=real_zero)),inference(variable_rename,[status(thm)],[55])).
% fof(57, negated_conjecture,(((((int_leq(int_one,esk2_0)&int_leq(esk2_0,n))&int_leq(int_one,esk3_0))&int_leq(esk3_0,n))&~(esk2_0=esk3_0))&~(a(esk2_0,esk3_0)=real_zero)),inference(skolemize,[status(esa)],[56])).
% cnf(58,negated_conjecture,(a(esk2_0,esk3_0)!=real_zero),inference(split_conjunct,[status(thm)],[57])).
% cnf(59,negated_conjecture,(esk2_0!=esk3_0),inference(split_conjunct,[status(thm)],[57])).
% cnf(60,negated_conjecture,(int_leq(esk3_0,n)),inference(split_conjunct,[status(thm)],[57])).
% cnf(61,negated_conjecture,(int_leq(int_one,esk3_0)),inference(split_conjunct,[status(thm)],[57])).
% cnf(62,negated_conjecture,(int_leq(esk2_0,n)),inference(split_conjunct,[status(thm)],[57])).
% cnf(63,negated_conjecture,(int_leq(int_one,esk2_0)),inference(split_conjunct,[status(thm)],[57])).
% fof(64, plain,![X2]:![X1]:(~(epred1_2(X1,X2))|((![X8]:((~(int_less(int_zero,X8))|~(X1=plus(X2,X8)))|![X3]:((~(int_leq(int_one,X3))|~(int_leq(X3,X2)))|a(plus(X3,X8),X3)=real_zero))&![X3]:((~(int_leq(int_one,X3))|~(int_leq(X3,X2)))|a(X3,X3)=real_one))&![X8]:((~(int_less(int_zero,X8))|~(X2=plus(X1,X8)))|![X3]:((~(int_leq(int_one,X3))|~(int_leq(X3,X1)))|a(X3,plus(X3,X8))=real_zero)))),inference(fof_nnf,[status(thm)],[15])).
% fof(65, plain,![X9]:![X10]:(~(epred1_2(X10,X9))|((![X11]:((~(int_less(int_zero,X11))|~(X10=plus(X9,X11)))|![X12]:((~(int_leq(int_one,X12))|~(int_leq(X12,X9)))|a(plus(X12,X11),X12)=real_zero))&![X13]:((~(int_leq(int_one,X13))|~(int_leq(X13,X9)))|a(X13,X13)=real_one))&![X14]:((~(int_less(int_zero,X14))|~(X9=plus(X10,X14)))|![X15]:((~(int_leq(int_one,X15))|~(int_leq(X15,X10)))|a(X15,plus(X15,X14))=real_zero)))),inference(variable_rename,[status(thm)],[64])).
% fof(66, plain,![X9]:![X10]:![X11]:![X12]:![X13]:![X14]:![X15]:(((((~(int_leq(int_one,X15))|~(int_leq(X15,X10)))|a(X15,plus(X15,X14))=real_zero)|(~(int_less(int_zero,X14))|~(X9=plus(X10,X14))))&(((~(int_leq(int_one,X13))|~(int_leq(X13,X9)))|a(X13,X13)=real_one)&(((~(int_leq(int_one,X12))|~(int_leq(X12,X9)))|a(plus(X12,X11),X12)=real_zero)|(~(int_less(int_zero,X11))|~(X10=plus(X9,X11))))))|~(epred1_2(X10,X9))),inference(shift_quantors,[status(thm)],[65])).
% fof(67, plain,![X9]:![X10]:![X11]:![X12]:![X13]:![X14]:![X15]:(((((~(int_leq(int_one,X15))|~(int_leq(X15,X10)))|a(X15,plus(X15,X14))=real_zero)|(~(int_less(int_zero,X14))|~(X9=plus(X10,X14))))|~(epred1_2(X10,X9)))&((((~(int_leq(int_one,X13))|~(int_leq(X13,X9)))|a(X13,X13)=real_one)|~(epred1_2(X10,X9)))&((((~(int_leq(int_one,X12))|~(int_leq(X12,X9)))|a(plus(X12,X11),X12)=real_zero)|(~(int_less(int_zero,X11))|~(X10=plus(X9,X11))))|~(epred1_2(X10,X9))))),inference(distribute,[status(thm)],[66])).
% cnf(68,plain,(a(plus(X4,X3),X4)=real_zero|~epred1_2(X1,X2)|X1!=plus(X2,X3)|~int_less(int_zero,X3)|~int_leq(X4,X2)|~int_leq(int_one,X4)),inference(split_conjunct,[status(thm)],[67])).
% cnf(70,plain,(a(X4,plus(X4,X3))=real_zero|~epred1_2(X1,X2)|X2!=plus(X1,X3)|~int_less(int_zero,X3)|~int_leq(X4,X1)|~int_leq(int_one,X4)),inference(split_conjunct,[status(thm)],[67])).
% cnf(71,plain,(int_leq(X1,X1)),inference(er,[status(thm)],[20,theory(equality)])).
% cnf(88,plain,(X1=X2|int_less(X1,X2)|int_less(X2,X1)),inference(spm,[status(thm)],[22,30,theory(equality)])).
% cnf(99,negated_conjecture,(epred1_2(X1,esk3_0)|~int_leq(X1,n)|~int_leq(int_one,esk3_0)|~int_leq(int_one,X1)),inference(spm,[status(thm)],[54,60,theory(equality)])).
% cnf(105,negated_conjecture,(epred1_2(X1,esk3_0)|~int_leq(X1,n)|$false|~int_leq(int_one,X1)),inference(rw,[status(thm)],[99,61,theory(equality)])).
% cnf(106,negated_conjecture,(epred1_2(X1,esk3_0)|~int_leq(X1,n)|~int_leq(int_one,X1)),inference(cn,[status(thm)],[105,theory(equality)])).
% cnf(121,plain,(a(X1,plus(X1,esk1_2(X2,X3)))=real_zero|X3!=X4|~epred1_2(X2,X4)|~int_less(int_zero,esk1_2(X2,X3))|~int_leq(int_one,X1)|~int_leq(X1,X2)|~int_less(X2,X3)),inference(spm,[status(thm)],[70,45,theory(equality)])).
% cnf(125,plain,(a(X1,plus(X1,esk1_2(X2,X3)))=real_zero|~epred1_2(X2,X3)|~int_less(int_zero,esk1_2(X2,X3))|~int_leq(int_one,X1)|~int_leq(X1,X2)|~int_less(X2,X3)),inference(er,[status(thm)],[121,theory(equality)])).
% cnf(129,plain,(a(plus(X1,esk1_2(X2,X3)),X1)=real_zero|X3!=X4|~epred1_2(X4,X2)|~int_less(int_zero,esk1_2(X2,X3))|~int_leq(int_one,X1)|~int_leq(X1,X2)|~int_less(X2,X3)),inference(spm,[status(thm)],[68,45,theory(equality)])).
% cnf(133,plain,(a(plus(X1,esk1_2(X2,X3)),X1)=real_zero|~epred1_2(X3,X2)|~int_less(int_zero,esk1_2(X2,X3))|~int_leq(int_one,X1)|~int_leq(X1,X2)|~int_less(X2,X3)),inference(er,[status(thm)],[129,theory(equality)])).
% cnf(177,negated_conjecture,(epred1_2(esk2_0,esk3_0)|~int_leq(int_one,esk2_0)),inference(spm,[status(thm)],[106,62,theory(equality)])).
% cnf(184,negated_conjecture,(epred1_2(esk2_0,esk3_0)|$false),inference(rw,[status(thm)],[177,63,theory(equality)])).
% cnf(185,negated_conjecture,(epred1_2(esk2_0,esk3_0)),inference(cn,[status(thm)],[184,theory(equality)])).
% cnf(909,plain,(a(X1,plus(X1,esk1_2(X2,X3)))=real_zero|~epred1_2(X2,X3)|~int_less(X2,X3)|~int_leq(int_one,X1)|~int_leq(X1,X2)),inference(csr,[status(thm)],[125,44])).
% cnf(914,plain,(a(X1,X2)=real_zero|~epred1_2(X1,X2)|~int_less(X1,X2)|~int_leq(int_one,X1)|~int_leq(X1,X1)),inference(spm,[status(thm)],[909,45,theory(equality)])).
% cnf(915,plain,(a(X1,X2)=real_zero|~epred1_2(X1,X2)|~int_less(X1,X2)|~int_leq(int_one,X1)|$false),inference(rw,[status(thm)],[914,71,theory(equality)])).
% cnf(916,plain,(a(X1,X2)=real_zero|~epred1_2(X1,X2)|~int_less(X1,X2)|~int_leq(int_one,X1)),inference(cn,[status(thm)],[915,theory(equality)])).
% cnf(1144,plain,(a(plus(X1,esk1_2(X2,X3)),X1)=real_zero|~epred1_2(X3,X2)|~int_less(X2,X3)|~int_leq(int_one,X1)|~int_leq(X1,X2)),inference(csr,[status(thm)],[133,44])).
% cnf(1149,plain,(a(X2,X1)=real_zero|~epred1_2(X2,X1)|~int_less(X1,X2)|~int_leq(int_one,X1)|~int_leq(X1,X1)),inference(spm,[status(thm)],[1144,45,theory(equality)])).
% cnf(1150,plain,(a(X2,X1)=real_zero|~epred1_2(X2,X1)|~int_less(X1,X2)|~int_leq(int_one,X1)|$false),inference(rw,[status(thm)],[1149,71,theory(equality)])).
% cnf(1151,plain,(a(X2,X1)=real_zero|~epred1_2(X2,X1)|~int_less(X1,X2)|~int_leq(int_one,X1)),inference(cn,[status(thm)],[1150,theory(equality)])).
% cnf(15005,negated_conjecture,(~epred1_2(esk2_0,esk3_0)|~int_less(esk2_0,esk3_0)|~int_leq(int_one,esk2_0)),inference(spm,[status(thm)],[58,916,theory(equality)])).
% cnf(15031,negated_conjecture,($false|~int_less(esk2_0,esk3_0)|~int_leq(int_one,esk2_0)),inference(rw,[status(thm)],[15005,185,theory(equality)])).
% cnf(15032,negated_conjecture,($false|~int_less(esk2_0,esk3_0)|$false),inference(rw,[status(thm)],[15031,63,theory(equality)])).
% cnf(15033,negated_conjecture,(~int_less(esk2_0,esk3_0)),inference(cn,[status(thm)],[15032,theory(equality)])).
% cnf(20123,negated_conjecture,(~epred1_2(esk2_0,esk3_0)|~int_less(esk3_0,esk2_0)|~int_leq(int_one,esk3_0)),inference(spm,[status(thm)],[58,1151,theory(equality)])).
% cnf(20149,negated_conjecture,($false|~int_less(esk3_0,esk2_0)|~int_leq(int_one,esk3_0)),inference(rw,[status(thm)],[20123,185,theory(equality)])).
% cnf(20150,negated_conjecture,($false|~int_less(esk3_0,esk2_0)|$false),inference(rw,[status(thm)],[20149,61,theory(equality)])).
% cnf(20151,negated_conjecture,(~int_less(esk3_0,esk2_0)),inference(cn,[status(thm)],[20150,theory(equality)])).
% cnf(20192,negated_conjecture,(esk3_0=esk2_0|int_less(esk2_0,esk3_0)),inference(spm,[status(thm)],[20151,88,theory(equality)])).
% cnf(20207,negated_conjecture,(int_less(esk2_0,esk3_0)),inference(sr,[status(thm)],[20192,59,theory(equality)])).
% cnf(20208,negated_conjecture,($false),inference(sr,[status(thm)],[20207,15033,theory(equality)])).
% cnf(20209,negated_conjecture,($false),20208,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 2341
% # ...of these trivial : 1
% # ...subsumed : 1609
% # ...remaining for further processing: 731
% # Other redundant clauses eliminated : 44
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 87
% # Backward-rewritten : 0
% # Generated clauses : 13770
% # ...of the previous two non-trivial : 11803
% # Contextual simplify-reflections : 2007
% # Paramodulations : 13691
% # Factorizations : 26
% # Equation resolutions : 50
% # Current number of processed clauses: 613
% # Positive orientable unit clauses: 14
% # Positive unorientable unit clauses: 1
% # Negative unit clauses : 10
% # Non-unit-clauses : 588
% # Current number of unprocessed clauses: 8813
% # ...number of literals in the above : 55550
% # Clause-clause subsumption calls (NU) : 26323
% # Rec. Clause-clause subsumption calls : 13497
% # Unit Clause-clause subsumption calls : 57
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 23
% # Indexed BW rewrite successes : 4
% # Backwards rewriting index: 189 leaves, 1.52+/-1.596 terms/leaf
% # Paramod-from index: 107 leaves, 1.10+/-0.360 terms/leaf
% # Paramod-into index: 163 leaves, 1.34+/-1.030 terms/leaf
% # -------------------------------------------------
% # User time : 0.644 s
% # System time : 0.021 s
% # Total time : 0.665 s
% # Maximum resident set size: 0 pages
% PrfWatch: 1.03 CPU 1.13 WC
% FINAL PrfWatch: 1.03 CPU 1.13 WC
% SZS output end Solution for /tmp/SystemOnTPTP9635/SWV489+3.tptp
%
%------------------------------------------------------------------------------