TSTP Solution File: KLE022+4 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : KLE022+4 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : art03.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 07:35:03 EST 2010

% Result   : Theorem 0.90s
% Output   : Solution 0.90s
% 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/SystemOnTPTP7755/KLE022+4.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... found
% SZS status THM for /tmp/SystemOnTPTP7755/KLE022+4.tptp
% SZS output start Solution for /tmp/SystemOnTPTP7755/KLE022+4.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 7851
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time     : 0.013 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(3, axiom,![X3]:![X4]:(leq(X3,X4)<=>addition(X3,X4)=X4),file('/tmp/SRASS.s.p', order)).
% fof(4, axiom,![X3]:![X4]:![X5]:multiplication(X3,addition(X4,X5))=addition(multiplication(X3,X4),multiplication(X3,X5)),file('/tmp/SRASS.s.p', right_distributivity)).
% fof(6, axiom,![X3]:![X4]:addition(X3,X4)=addition(X4,X3),file('/tmp/SRASS.s.p', additive_commutativity)).
% fof(8, axiom,![X3]:addition(X3,X3)=X3,file('/tmp/SRASS.s.p', additive_idempotence)).
% fof(11, axiom,![X1]:![X2]:(test(X1)=>(c(X1)=X2<=>complement(X1,X2))),file('/tmp/SRASS.s.p', test_3)).
% fof(13, axiom,![X3]:multiplication(X3,one)=X3,file('/tmp/SRASS.s.p', multiplicative_right_identity)).
% fof(18, axiom,![X1]:![X2]:(complement(X2,X1)<=>((multiplication(X1,X2)=zero&multiplication(X2,X1)=zero)&addition(X1,X2)=one)),file('/tmp/SRASS.s.p', test_2)).
% fof(19, conjecture,![X1]:![X2]:(test(X2)=>(leq(X1,addition(multiplication(X1,X2),multiplication(X1,c(X2))))&leq(addition(multiplication(X1,X2),multiplication(X1,c(X2))),X1))),file('/tmp/SRASS.s.p', goals)).
% fof(20, negated_conjecture,~(![X1]:![X2]:(test(X2)=>(leq(X1,addition(multiplication(X1,X2),multiplication(X1,c(X2))))&leq(addition(multiplication(X1,X2),multiplication(X1,c(X2))),X1)))),inference(assume_negation,[status(cth)],[19])).
% fof(28, plain,![X3]:![X4]:((~(leq(X3,X4))|addition(X3,X4)=X4)&(~(addition(X3,X4)=X4)|leq(X3,X4))),inference(fof_nnf,[status(thm)],[3])).
% fof(29, plain,![X5]:![X6]:((~(leq(X5,X6))|addition(X5,X6)=X6)&(~(addition(X5,X6)=X6)|leq(X5,X6))),inference(variable_rename,[status(thm)],[28])).
% cnf(30,plain,(leq(X1,X2)|addition(X1,X2)!=X2),inference(split_conjunct,[status(thm)],[29])).
% fof(32, plain,![X6]:![X7]:![X8]:multiplication(X6,addition(X7,X8))=addition(multiplication(X6,X7),multiplication(X6,X8)),inference(variable_rename,[status(thm)],[4])).
% cnf(33,plain,(multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))),inference(split_conjunct,[status(thm)],[32])).
% fof(36, plain,![X5]:![X6]:addition(X5,X6)=addition(X6,X5),inference(variable_rename,[status(thm)],[6])).
% cnf(37,plain,(addition(X1,X2)=addition(X2,X1)),inference(split_conjunct,[status(thm)],[36])).
% fof(40, plain,![X4]:addition(X4,X4)=X4,inference(variable_rename,[status(thm)],[8])).
% cnf(41,plain,(addition(X1,X1)=X1),inference(split_conjunct,[status(thm)],[40])).
% fof(47, plain,![X1]:![X2]:(~(test(X1))|((~(c(X1)=X2)|complement(X1,X2))&(~(complement(X1,X2))|c(X1)=X2))),inference(fof_nnf,[status(thm)],[11])).
% fof(48, plain,![X3]:![X4]:(~(test(X3))|((~(c(X3)=X4)|complement(X3,X4))&(~(complement(X3,X4))|c(X3)=X4))),inference(variable_rename,[status(thm)],[47])).
% fof(49, plain,![X3]:![X4]:(((~(c(X3)=X4)|complement(X3,X4))|~(test(X3)))&((~(complement(X3,X4))|c(X3)=X4)|~(test(X3)))),inference(distribute,[status(thm)],[48])).
% cnf(51,plain,(complement(X1,X2)|~test(X1)|c(X1)!=X2),inference(split_conjunct,[status(thm)],[49])).
% fof(58, plain,![X4]:multiplication(X4,one)=X4,inference(variable_rename,[status(thm)],[13])).
% cnf(59,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[58])).
% fof(68, plain,![X1]:![X2]:((~(complement(X2,X1))|((multiplication(X1,X2)=zero&multiplication(X2,X1)=zero)&addition(X1,X2)=one))&(((~(multiplication(X1,X2)=zero)|~(multiplication(X2,X1)=zero))|~(addition(X1,X2)=one))|complement(X2,X1))),inference(fof_nnf,[status(thm)],[18])).
% fof(69, plain,![X3]:![X4]:((~(complement(X4,X3))|((multiplication(X3,X4)=zero&multiplication(X4,X3)=zero)&addition(X3,X4)=one))&(((~(multiplication(X3,X4)=zero)|~(multiplication(X4,X3)=zero))|~(addition(X3,X4)=one))|complement(X4,X3))),inference(variable_rename,[status(thm)],[68])).
% fof(70, plain,![X3]:![X4]:((((multiplication(X3,X4)=zero|~(complement(X4,X3)))&(multiplication(X4,X3)=zero|~(complement(X4,X3))))&(addition(X3,X4)=one|~(complement(X4,X3))))&(((~(multiplication(X3,X4)=zero)|~(multiplication(X4,X3)=zero))|~(addition(X3,X4)=one))|complement(X4,X3))),inference(distribute,[status(thm)],[69])).
% cnf(72,plain,(addition(X2,X1)=one|~complement(X1,X2)),inference(split_conjunct,[status(thm)],[70])).
% fof(75, negated_conjecture,?[X1]:?[X2]:(test(X2)&(~(leq(X1,addition(multiplication(X1,X2),multiplication(X1,c(X2)))))|~(leq(addition(multiplication(X1,X2),multiplication(X1,c(X2))),X1)))),inference(fof_nnf,[status(thm)],[20])).
% fof(76, negated_conjecture,?[X3]:?[X4]:(test(X4)&(~(leq(X3,addition(multiplication(X3,X4),multiplication(X3,c(X4)))))|~(leq(addition(multiplication(X3,X4),multiplication(X3,c(X4))),X3)))),inference(variable_rename,[status(thm)],[75])).
% fof(77, negated_conjecture,(test(esk3_0)&(~(leq(esk2_0,addition(multiplication(esk2_0,esk3_0),multiplication(esk2_0,c(esk3_0)))))|~(leq(addition(multiplication(esk2_0,esk3_0),multiplication(esk2_0,c(esk3_0))),esk2_0)))),inference(skolemize,[status(esa)],[76])).
% cnf(78,negated_conjecture,(~leq(addition(multiplication(esk2_0,esk3_0),multiplication(esk2_0,c(esk3_0))),esk2_0)|~leq(esk2_0,addition(multiplication(esk2_0,esk3_0),multiplication(esk2_0,c(esk3_0))))),inference(split_conjunct,[status(thm)],[77])).
% cnf(79,negated_conjecture,(test(esk3_0)),inference(split_conjunct,[status(thm)],[77])).
% cnf(87,plain,(leq(X1,X1)),inference(spm,[status(thm)],[30,41,theory(equality)])).
% cnf(90,plain,(complement(X1,c(X1))|~test(X1)),inference(er,[status(thm)],[51,theory(equality)])).
% cnf(152,negated_conjecture,(~leq(esk2_0,multiplication(esk2_0,addition(esk3_0,c(esk3_0))))|~leq(addition(multiplication(esk2_0,esk3_0),multiplication(esk2_0,c(esk3_0))),esk2_0)),inference(rw,[status(thm)],[78,33,theory(equality)])).
% cnf(153,negated_conjecture,(~leq(esk2_0,multiplication(esk2_0,addition(esk3_0,c(esk3_0))))|~leq(multiplication(esk2_0,addition(esk3_0,c(esk3_0))),esk2_0)),inference(rw,[status(thm)],[152,33,theory(equality)])).
% cnf(235,plain,(addition(c(X1),X1)=one|~test(X1)),inference(spm,[status(thm)],[72,90,theory(equality)])).
% cnf(1124,plain,(addition(X1,c(X1))=one|~test(X1)),inference(rw,[status(thm)],[235,37,theory(equality)])).
% cnf(1125,negated_conjecture,(~leq(esk2_0,multiplication(esk2_0,one))|~leq(multiplication(esk2_0,one),esk2_0)|~test(esk3_0)),inference(spm,[status(thm)],[153,1124,theory(equality)])).
% cnf(1151,negated_conjecture,($false|~leq(multiplication(esk2_0,one),esk2_0)|~test(esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1125,59,theory(equality)]),87,theory(equality)])).
% cnf(1152,negated_conjecture,($false|$false|~test(esk3_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1151,59,theory(equality)]),87,theory(equality)])).
% cnf(1153,negated_conjecture,($false|$false|$false),inference(rw,[status(thm)],[1152,79,theory(equality)])).
% cnf(1154,negated_conjecture,($false),inference(cn,[status(thm)],[1153,theory(equality)])).
% cnf(1155,negated_conjecture,($false),1154,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 140
% # ...of these trivial                : 26
% # ...subsumed                        : 27
% # ...remaining for further processing: 87
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 1
% # Backward-rewritten                 : 2
% # Generated clauses                  : 580
% # ...of the previous two non-trivial : 304
% # Contextual simplify-reflections    : 0
% # Paramodulations                    : 572
% # Factorizations                     : 0
% # Equation resolutions               : 8
% # Current number of processed clauses: 84
% #    Positive orientable unit clauses: 42
% #    Positive unorientable unit clauses: 1
% #    Negative unit clauses           : 0
% #    Non-unit-clauses                : 41
% # Current number of unprocessed clauses: 189
% # ...number of literals in the above : 406
% # Clause-clause subsumption calls (NU) : 131
% # Rec. Clause-clause subsumption calls : 126
% # Unit Clause-clause subsumption calls : 2
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 29
% # Indexed BW rewrite successes       : 8
% # Backwards rewriting index:    86 leaves,   1.35+/-0.937 terms/leaf
% # Paramod-from index:           47 leaves,   1.21+/-0.458 terms/leaf
% # Paramod-into index:           67 leaves,   1.36+/-0.893 terms/leaf
% # -------------------------------------------------
% # User time              : 0.023 s
% # System time            : 0.005 s
% # Total time             : 0.028 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.12 CPU 0.20 WC
% FINAL PrfWatch: 0.12 CPU 0.20 WC
% SZS output end Solution for /tmp/SystemOnTPTP7755/KLE022+4.tptp
% 
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