TSTP Solution File: KLE063+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : KLE063+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 : 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 07:52:01 EST 2010
% Result : Theorem 1.05s
% Output : Solution 1.05s
% 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/SystemOnTPTP30198/KLE063+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP30198/KLE063+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP30198/KLE063+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 30294
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.010 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:addition(X1,X2)=addition(X2,X1),file('/tmp/SRASS.s.p', additive_commutativity)).
% fof(2, axiom,![X3]:![X2]:![X1]:addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3),file('/tmp/SRASS.s.p', additive_associativity)).
% fof(3, axiom,![X1]:addition(X1,X1)=X1,file('/tmp/SRASS.s.p', additive_idempotence)).
% fof(5, axiom,![X1]:![X2]:![X3]:multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3)),file('/tmp/SRASS.s.p', right_distributivity)).
% fof(6, axiom,![X1]:![X2]:![X3]:multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3)),file('/tmp/SRASS.s.p', left_distributivity)).
% fof(8, axiom,![X4]:![X5]:domain(multiplication(X4,X5))=domain(multiplication(X4,domain(X5))),file('/tmp/SRASS.s.p', domain2)).
% fof(9, axiom,![X4]:![X5]:domain(addition(X4,X5))=addition(domain(X4),domain(X5)),file('/tmp/SRASS.s.p', domain5)).
% fof(10, axiom,![X4]:addition(domain(X4),one)=one,file('/tmp/SRASS.s.p', domain3)).
% fof(15, axiom,![X1]:multiplication(X1,one)=X1,file('/tmp/SRASS.s.p', multiplicative_right_identity)).
% fof(16, axiom,![X1]:multiplication(one,X1)=X1,file('/tmp/SRASS.s.p', multiplicative_left_identity)).
% fof(17, axiom,![X1]:![X2]:(leq(X1,X2)<=>addition(X1,X2)=X2),file('/tmp/SRASS.s.p', order)).
% fof(18, conjecture,![X4]:![X5]:(addition(X4,multiplication(domain(X5),X4))=multiplication(domain(X5),X4)=>addition(domain(X4),domain(X5))=domain(X5)),file('/tmp/SRASS.s.p', goals)).
% fof(19, negated_conjecture,~(![X4]:![X5]:(addition(X4,multiplication(domain(X5),X4))=multiplication(domain(X5),X4)=>addition(domain(X4),domain(X5))=domain(X5))),inference(assume_negation,[status(cth)],[18])).
% fof(20, plain,![X3]:![X4]:addition(X3,X4)=addition(X4,X3),inference(variable_rename,[status(thm)],[1])).
% cnf(21,plain,(addition(X1,X2)=addition(X2,X1)),inference(split_conjunct,[status(thm)],[20])).
% fof(22, plain,![X4]:![X5]:![X6]:addition(X6,addition(X5,X4))=addition(addition(X6,X5),X4),inference(variable_rename,[status(thm)],[2])).
% cnf(23,plain,(addition(X1,addition(X2,X3))=addition(addition(X1,X2),X3)),inference(split_conjunct,[status(thm)],[22])).
% fof(24, plain,![X2]:addition(X2,X2)=X2,inference(variable_rename,[status(thm)],[3])).
% cnf(25,plain,(addition(X1,X1)=X1),inference(split_conjunct,[status(thm)],[24])).
% fof(28, plain,![X4]:![X5]:![X6]:multiplication(X4,addition(X5,X6))=addition(multiplication(X4,X5),multiplication(X4,X6)),inference(variable_rename,[status(thm)],[5])).
% cnf(29,plain,(multiplication(X1,addition(X2,X3))=addition(multiplication(X1,X2),multiplication(X1,X3))),inference(split_conjunct,[status(thm)],[28])).
% fof(30, plain,![X4]:![X5]:![X6]:multiplication(addition(X4,X5),X6)=addition(multiplication(X4,X6),multiplication(X5,X6)),inference(variable_rename,[status(thm)],[6])).
% cnf(31,plain,(multiplication(addition(X1,X2),X3)=addition(multiplication(X1,X3),multiplication(X2,X3))),inference(split_conjunct,[status(thm)],[30])).
% fof(34, plain,![X6]:![X7]:domain(multiplication(X6,X7))=domain(multiplication(X6,domain(X7))),inference(variable_rename,[status(thm)],[8])).
% cnf(35,plain,(domain(multiplication(X1,X2))=domain(multiplication(X1,domain(X2)))),inference(split_conjunct,[status(thm)],[34])).
% fof(36, plain,![X6]:![X7]:domain(addition(X6,X7))=addition(domain(X6),domain(X7)),inference(variable_rename,[status(thm)],[9])).
% cnf(37,plain,(domain(addition(X1,X2))=addition(domain(X1),domain(X2))),inference(split_conjunct,[status(thm)],[36])).
% fof(38, plain,![X5]:addition(domain(X5),one)=one,inference(variable_rename,[status(thm)],[10])).
% cnf(39,plain,(addition(domain(X1),one)=one),inference(split_conjunct,[status(thm)],[38])).
% fof(47, plain,![X2]:multiplication(X2,one)=X2,inference(variable_rename,[status(thm)],[15])).
% cnf(48,plain,(multiplication(X1,one)=X1),inference(split_conjunct,[status(thm)],[47])).
% fof(49, plain,![X2]:multiplication(one,X2)=X2,inference(variable_rename,[status(thm)],[16])).
% cnf(50,plain,(multiplication(one,X1)=X1),inference(split_conjunct,[status(thm)],[49])).
% fof(51, plain,![X1]:![X2]:((~(leq(X1,X2))|addition(X1,X2)=X2)&(~(addition(X1,X2)=X2)|leq(X1,X2))),inference(fof_nnf,[status(thm)],[17])).
% fof(52, plain,![X3]:![X4]:((~(leq(X3,X4))|addition(X3,X4)=X4)&(~(addition(X3,X4)=X4)|leq(X3,X4))),inference(variable_rename,[status(thm)],[51])).
% cnf(53,plain,(leq(X1,X2)|addition(X1,X2)!=X2),inference(split_conjunct,[status(thm)],[52])).
% cnf(54,plain,(addition(X1,X2)=X2|~leq(X1,X2)),inference(split_conjunct,[status(thm)],[52])).
% fof(55, negated_conjecture,?[X4]:?[X5]:(addition(X4,multiplication(domain(X5),X4))=multiplication(domain(X5),X4)&~(addition(domain(X4),domain(X5))=domain(X5))),inference(fof_nnf,[status(thm)],[19])).
% fof(56, negated_conjecture,?[X6]:?[X7]:(addition(X6,multiplication(domain(X7),X6))=multiplication(domain(X7),X6)&~(addition(domain(X6),domain(X7))=domain(X7))),inference(variable_rename,[status(thm)],[55])).
% fof(57, negated_conjecture,(addition(esk1_0,multiplication(domain(esk2_0),esk1_0))=multiplication(domain(esk2_0),esk1_0)&~(addition(domain(esk1_0),domain(esk2_0))=domain(esk2_0))),inference(skolemize,[status(esa)],[56])).
% cnf(58,negated_conjecture,(addition(domain(esk1_0),domain(esk2_0))!=domain(esk2_0)),inference(split_conjunct,[status(thm)],[57])).
% cnf(59,negated_conjecture,(addition(esk1_0,multiplication(domain(esk2_0),esk1_0))=multiplication(domain(esk2_0),esk1_0)),inference(split_conjunct,[status(thm)],[57])).
% cnf(65,plain,(addition(one,domain(X1))=one),inference(rw,[status(thm)],[39,21,theory(equality)])).
% cnf(79,plain,(addition(X1,X2)=addition(X1,addition(X1,X2))),inference(spm,[status(thm)],[23,25,theory(equality)])).
% cnf(111,negated_conjecture,(domain(addition(esk1_0,esk2_0))!=domain(esk2_0)),inference(rw,[status(thm)],[58,37,theory(equality)])).
% cnf(118,plain,(addition(domain(X1),domain(multiplication(X2,X3)))=domain(addition(X1,multiplication(X2,domain(X3))))),inference(spm,[status(thm)],[37,35,theory(equality)])).
% cnf(121,plain,(domain(domain(X1))=domain(multiplication(one,X1))),inference(spm,[status(thm)],[35,50,theory(equality)])).
% cnf(124,plain,(domain(addition(X1,multiplication(X2,X3)))=domain(addition(X1,multiplication(X2,domain(X3))))),inference(rw,[status(thm)],[118,37,theory(equality)])).
% cnf(128,plain,(domain(domain(X1))=domain(X1)),inference(rw,[status(thm)],[121,50,theory(equality)])).
% cnf(213,plain,(addition(domain(X1),domain(X2))=domain(addition(domain(X1),X2))),inference(spm,[status(thm)],[37,128,theory(equality)])).
% cnf(219,plain,(domain(addition(X1,X2))=domain(addition(domain(X1),X2))),inference(rw,[status(thm)],[213,37,theory(equality)])).
% cnf(524,plain,(leq(X1,addition(X1,X2))),inference(spm,[status(thm)],[53,79,theory(equality)])).
% cnf(583,plain,(leq(X1,addition(X2,X1))),inference(spm,[status(thm)],[524,21,theory(equality)])).
% cnf(599,plain,(leq(multiplication(X1,X2),multiplication(X1,addition(X3,X2)))),inference(spm,[status(thm)],[583,29,theory(equality)])).
% cnf(600,plain,(leq(multiplication(X1,X2),multiplication(addition(X3,X1),X2))),inference(spm,[status(thm)],[583,31,theory(equality)])).
% cnf(4591,plain,(leq(multiplication(X1,domain(X2)),multiplication(X1,one))),inference(spm,[status(thm)],[599,65,theory(equality)])).
% cnf(4629,plain,(leq(multiplication(X1,domain(X2)),X1)),inference(rw,[status(thm)],[4591,48,theory(equality)])).
% cnf(4645,plain,(addition(multiplication(X1,domain(X2)),X1)=X1),inference(spm,[status(thm)],[54,4629,theory(equality)])).
% cnf(5046,plain,(addition(X1,multiplication(X1,domain(X2)))=X1),inference(rw,[status(thm)],[4645,21,theory(equality)])).
% cnf(5115,plain,(domain(X1)=domain(addition(X1,multiplication(X1,X2)))),inference(spm,[status(thm)],[124,5046,theory(equality)])).
% cnf(7383,plain,(leq(multiplication(domain(X1),X2),multiplication(one,X2))),inference(spm,[status(thm)],[600,65,theory(equality)])).
% cnf(7428,plain,(leq(multiplication(domain(X1),X2),X2)),inference(rw,[status(thm)],[7383,50,theory(equality)])).
% cnf(7449,plain,(addition(multiplication(domain(X1),X2),X2)=X2),inference(spm,[status(thm)],[54,7428,theory(equality)])).
% cnf(7497,plain,(addition(X2,multiplication(domain(X1),X2))=X2),inference(rw,[status(thm)],[7449,21,theory(equality)])).
% cnf(7604,negated_conjecture,(esk1_0=multiplication(domain(esk2_0),esk1_0)),inference(rw,[status(thm)],[59,7497,theory(equality)])).
% cnf(7739,negated_conjecture,(domain(addition(domain(esk2_0),esk1_0))=domain(domain(esk2_0))),inference(spm,[status(thm)],[5115,7604,theory(equality)])).
% cnf(7764,negated_conjecture,(domain(addition(esk2_0,esk1_0))=domain(domain(esk2_0))),inference(rw,[status(thm)],[7739,219,theory(equality)])).
% cnf(7765,negated_conjecture,(domain(addition(esk2_0,esk1_0))=domain(esk2_0)),inference(rw,[status(thm)],[7764,128,theory(equality)])).
% cnf(7770,negated_conjecture,(domain(addition(esk1_0,esk2_0))=domain(esk2_0)),inference(rw,[status(thm)],[7765,21,theory(equality)])).
% cnf(7771,negated_conjecture,($false),inference(sr,[status(thm)],[7770,111,theory(equality)])).
% cnf(7772,negated_conjecture,($false),7771,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 466
% # ...of these trivial : 120
% # ...subsumed : 196
% # ...remaining for further processing: 150
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 0
% # Backward-rewritten : 23
% # Generated clauses : 4395
% # ...of the previous two non-trivial : 2387
% # Contextual simplify-reflections : 0
% # Paramodulations : 4394
% # Factorizations : 0
% # Equation resolutions : 1
% # Current number of processed clauses: 126
% # Positive orientable unit clauses: 100
% # Positive unorientable unit clauses: 3
% # Negative unit clauses : 1
% # Non-unit-clauses : 22
% # Current number of unprocessed clauses: 1533
% # ...number of literals in the above : 1896
% # Clause-clause subsumption calls (NU) : 754
% # Rec. Clause-clause subsumption calls : 754
% # Unit Clause-clause subsumption calls : 8
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 171
% # Indexed BW rewrite successes : 55
% # Backwards rewriting index: 135 leaves, 1.55+/-1.016 terms/leaf
% # Paramod-from index: 73 leaves, 1.44+/-0.758 terms/leaf
% # Paramod-into index: 124 leaves, 1.53+/-1.004 terms/leaf
% # -------------------------------------------------
% # User time : 0.092 s
% # System time : 0.004 s
% # Total time : 0.096 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.25 CPU 0.32 WC
% FINAL PrfWatch: 0.25 CPU 0.32 WC
% SZS output end Solution for /tmp/SystemOnTPTP30198/KLE063+1.tptp
%
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