TSTP Solution File: SET600+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SET600+3 : TPTP v5.0.0. Released v2.2.0.
% 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 23:14:23 EST 2010
% Result : Theorem 0.88s
% Output : Solution 0.88s
% 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/SystemOnTPTP28604/SET600+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ... found
% SZS status THM for /tmp/SystemOnTPTP28604/SET600+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP28604/SET600+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 28700
% 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]:union(X1,X2)=union(X2,X1),file('/tmp/SRASS.s.p', commutativity_of_union)).
% fof(2, axiom,![X1]:~(member(X1,empty_set)),file('/tmp/SRASS.s.p', empty_set_defn)).
% fof(3, axiom,![X1]:![X2]:![X3]:(member(X3,union(X1,X2))<=>(member(X3,X1)|member(X3,X2))),file('/tmp/SRASS.s.p', union_defn)).
% fof(4, axiom,![X1]:![X2]:(X1=X2<=>![X3]:(member(X3,X1)<=>member(X3,X2))),file('/tmp/SRASS.s.p', equal_member_defn)).
% fof(5, axiom,![X1]:![X2]:(X1=X2<=>(subset(X1,X2)&subset(X2,X1))),file('/tmp/SRASS.s.p', equal_defn)).
% fof(7, axiom,![X1]:![X2]:(subset(X1,X2)<=>![X3]:(member(X3,X1)=>member(X3,X2))),file('/tmp/SRASS.s.p', subset_defn)).
% fof(9, conjecture,![X1]:![X2]:(union(X1,X2)=empty_set<=>(X1=empty_set&X2=empty_set)),file('/tmp/SRASS.s.p', prove_th59)).
% fof(10, negated_conjecture,~(![X1]:![X2]:(union(X1,X2)=empty_set<=>(X1=empty_set&X2=empty_set))),inference(assume_negation,[status(cth)],[9])).
% fof(11, plain,![X1]:~(member(X1,empty_set)),inference(fof_simplification,[status(thm)],[2,theory(equality)])).
% fof(13, plain,![X3]:![X4]:union(X3,X4)=union(X4,X3),inference(variable_rename,[status(thm)],[1])).
% cnf(14,plain,(union(X1,X2)=union(X2,X1)),inference(split_conjunct,[status(thm)],[13])).
% fof(15, plain,![X2]:~(member(X2,empty_set)),inference(variable_rename,[status(thm)],[11])).
% cnf(16,plain,(~member(X1,empty_set)),inference(split_conjunct,[status(thm)],[15])).
% fof(17, plain,![X1]:![X2]:![X3]:((~(member(X3,union(X1,X2)))|(member(X3,X1)|member(X3,X2)))&((~(member(X3,X1))&~(member(X3,X2)))|member(X3,union(X1,X2)))),inference(fof_nnf,[status(thm)],[3])).
% fof(18, plain,![X4]:![X5]:![X6]:((~(member(X6,union(X4,X5)))|(member(X6,X4)|member(X6,X5)))&((~(member(X6,X4))&~(member(X6,X5)))|member(X6,union(X4,X5)))),inference(variable_rename,[status(thm)],[17])).
% fof(19, plain,![X4]:![X5]:![X6]:((~(member(X6,union(X4,X5)))|(member(X6,X4)|member(X6,X5)))&((~(member(X6,X4))|member(X6,union(X4,X5)))&(~(member(X6,X5))|member(X6,union(X4,X5))))),inference(distribute,[status(thm)],[18])).
% cnf(20,plain,(member(X1,union(X2,X3))|~member(X1,X3)),inference(split_conjunct,[status(thm)],[19])).
% cnf(21,plain,(member(X1,union(X2,X3))|~member(X1,X2)),inference(split_conjunct,[status(thm)],[19])).
% cnf(22,plain,(member(X1,X2)|member(X1,X3)|~member(X1,union(X3,X2))),inference(split_conjunct,[status(thm)],[19])).
% fof(23, plain,![X1]:![X2]:((~(X1=X2)|![X3]:((~(member(X3,X1))|member(X3,X2))&(~(member(X3,X2))|member(X3,X1))))&(?[X3]:((~(member(X3,X1))|~(member(X3,X2)))&(member(X3,X1)|member(X3,X2)))|X1=X2)),inference(fof_nnf,[status(thm)],[4])).
% fof(24, plain,![X4]:![X5]:((~(X4=X5)|![X6]:((~(member(X6,X4))|member(X6,X5))&(~(member(X6,X5))|member(X6,X4))))&(?[X7]:((~(member(X7,X4))|~(member(X7,X5)))&(member(X7,X4)|member(X7,X5)))|X4=X5)),inference(variable_rename,[status(thm)],[23])).
% fof(25, plain,![X4]:![X5]:((~(X4=X5)|![X6]:((~(member(X6,X4))|member(X6,X5))&(~(member(X6,X5))|member(X6,X4))))&(((~(member(esk1_2(X4,X5),X4))|~(member(esk1_2(X4,X5),X5)))&(member(esk1_2(X4,X5),X4)|member(esk1_2(X4,X5),X5)))|X4=X5)),inference(skolemize,[status(esa)],[24])).
% fof(26, plain,![X4]:![X5]:![X6]:((((~(member(X6,X4))|member(X6,X5))&(~(member(X6,X5))|member(X6,X4)))|~(X4=X5))&(((~(member(esk1_2(X4,X5),X4))|~(member(esk1_2(X4,X5),X5)))&(member(esk1_2(X4,X5),X4)|member(esk1_2(X4,X5),X5)))|X4=X5)),inference(shift_quantors,[status(thm)],[25])).
% fof(27, plain,![X4]:![X5]:![X6]:((((~(member(X6,X4))|member(X6,X5))|~(X4=X5))&((~(member(X6,X5))|member(X6,X4))|~(X4=X5)))&(((~(member(esk1_2(X4,X5),X4))|~(member(esk1_2(X4,X5),X5)))|X4=X5)&((member(esk1_2(X4,X5),X4)|member(esk1_2(X4,X5),X5))|X4=X5))),inference(distribute,[status(thm)],[26])).
% cnf(28,plain,(X1=X2|member(esk1_2(X1,X2),X2)|member(esk1_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[27])).
% fof(32, plain,![X1]:![X2]:((~(X1=X2)|(subset(X1,X2)&subset(X2,X1)))&((~(subset(X1,X2))|~(subset(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[5])).
% fof(33, plain,![X3]:![X4]:((~(X3=X4)|(subset(X3,X4)&subset(X4,X3)))&((~(subset(X3,X4))|~(subset(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[32])).
% fof(34, plain,![X3]:![X4]:(((subset(X3,X4)|~(X3=X4))&(subset(X4,X3)|~(X3=X4)))&((~(subset(X3,X4))|~(subset(X4,X3)))|X3=X4)),inference(distribute,[status(thm)],[33])).
% cnf(35,plain,(X1=X2|~subset(X2,X1)|~subset(X1,X2)),inference(split_conjunct,[status(thm)],[34])).
% fof(40, plain,![X1]:![X2]:((~(subset(X1,X2))|![X3]:(~(member(X3,X1))|member(X3,X2)))&(?[X3]:(member(X3,X1)&~(member(X3,X2)))|subset(X1,X2))),inference(fof_nnf,[status(thm)],[7])).
% fof(41, plain,![X4]:![X5]:((~(subset(X4,X5))|![X6]:(~(member(X6,X4))|member(X6,X5)))&(?[X7]:(member(X7,X4)&~(member(X7,X5)))|subset(X4,X5))),inference(variable_rename,[status(thm)],[40])).
% fof(42, plain,![X4]:![X5]:((~(subset(X4,X5))|![X6]:(~(member(X6,X4))|member(X6,X5)))&((member(esk2_2(X4,X5),X4)&~(member(esk2_2(X4,X5),X5)))|subset(X4,X5))),inference(skolemize,[status(esa)],[41])).
% fof(43, plain,![X4]:![X5]:![X6]:(((~(member(X6,X4))|member(X6,X5))|~(subset(X4,X5)))&((member(esk2_2(X4,X5),X4)&~(member(esk2_2(X4,X5),X5)))|subset(X4,X5))),inference(shift_quantors,[status(thm)],[42])).
% fof(44, plain,![X4]:![X5]:![X6]:(((~(member(X6,X4))|member(X6,X5))|~(subset(X4,X5)))&((member(esk2_2(X4,X5),X4)|subset(X4,X5))&(~(member(esk2_2(X4,X5),X5))|subset(X4,X5)))),inference(distribute,[status(thm)],[43])).
% cnf(46,plain,(subset(X1,X2)|member(esk2_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[44])).
% fof(54, negated_conjecture,?[X1]:?[X2]:((~(union(X1,X2)=empty_set)|(~(X1=empty_set)|~(X2=empty_set)))&(union(X1,X2)=empty_set|(X1=empty_set&X2=empty_set))),inference(fof_nnf,[status(thm)],[10])).
% fof(55, negated_conjecture,?[X3]:?[X4]:((~(union(X3,X4)=empty_set)|(~(X3=empty_set)|~(X4=empty_set)))&(union(X3,X4)=empty_set|(X3=empty_set&X4=empty_set))),inference(variable_rename,[status(thm)],[54])).
% fof(56, negated_conjecture,((~(union(esk4_0,esk5_0)=empty_set)|(~(esk4_0=empty_set)|~(esk5_0=empty_set)))&(union(esk4_0,esk5_0)=empty_set|(esk4_0=empty_set&esk5_0=empty_set))),inference(skolemize,[status(esa)],[55])).
% fof(57, negated_conjecture,((~(union(esk4_0,esk5_0)=empty_set)|(~(esk4_0=empty_set)|~(esk5_0=empty_set)))&((esk4_0=empty_set|union(esk4_0,esk5_0)=empty_set)&(esk5_0=empty_set|union(esk4_0,esk5_0)=empty_set))),inference(distribute,[status(thm)],[56])).
% cnf(58,negated_conjecture,(union(esk4_0,esk5_0)=empty_set|esk5_0=empty_set),inference(split_conjunct,[status(thm)],[57])).
% cnf(59,negated_conjecture,(union(esk4_0,esk5_0)=empty_set|esk4_0=empty_set),inference(split_conjunct,[status(thm)],[57])).
% cnf(60,negated_conjecture,(esk5_0!=empty_set|esk4_0!=empty_set|union(esk4_0,esk5_0)!=empty_set),inference(split_conjunct,[status(thm)],[57])).
% cnf(70,negated_conjecture,(member(X1,empty_set)|esk5_0=empty_set|~member(X1,esk5_0)),inference(spm,[status(thm)],[20,58,theory(equality)])).
% cnf(74,negated_conjecture,(esk5_0=empty_set|~member(X1,esk5_0)),inference(sr,[status(thm)],[70,16,theory(equality)])).
% cnf(78,negated_conjecture,(member(X1,empty_set)|esk4_0=empty_set|~member(X1,esk4_0)),inference(spm,[status(thm)],[21,59,theory(equality)])).
% cnf(82,negated_conjecture,(esk4_0=empty_set|~member(X1,esk4_0)),inference(sr,[status(thm)],[78,16,theory(equality)])).
% cnf(90,plain,(subset(empty_set,X1)),inference(spm,[status(thm)],[16,46,theory(equality)])).
% cnf(100,plain,(empty_set=X1|member(esk1_2(empty_set,X1),X1)),inference(spm,[status(thm)],[16,28,theory(equality)])).
% cnf(109,plain,(X1=empty_set|~subset(X1,empty_set)),inference(spm,[status(thm)],[35,90,theory(equality)])).
% cnf(112,negated_conjecture,(esk5_0=empty_set|subset(esk5_0,X1)),inference(spm,[status(thm)],[74,46,theory(equality)])).
% cnf(143,negated_conjecture,(esk4_0=empty_set|subset(esk4_0,X1)),inference(spm,[status(thm)],[82,46,theory(equality)])).
% cnf(149,negated_conjecture,(esk5_0=empty_set),inference(spm,[status(thm)],[109,112,theory(equality)])).
% cnf(152,negated_conjecture,(esk4_0=empty_set),inference(spm,[status(thm)],[109,143,theory(equality)])).
% cnf(163,negated_conjecture,(union(empty_set,esk4_0)!=empty_set|esk4_0!=empty_set|esk5_0!=empty_set),inference(rw,[status(thm)],[inference(rw,[status(thm)],[60,149,theory(equality)]),14,theory(equality)])).
% cnf(164,negated_conjecture,(union(empty_set,esk4_0)!=empty_set|esk4_0!=empty_set|$false),inference(rw,[status(thm)],[163,149,theory(equality)])).
% cnf(165,negated_conjecture,(union(empty_set,esk4_0)!=empty_set|esk4_0!=empty_set),inference(cn,[status(thm)],[164,theory(equality)])).
% cnf(177,negated_conjecture,(union(empty_set,empty_set)!=empty_set|esk4_0!=empty_set),inference(rw,[status(thm)],[165,152,theory(equality)])).
% cnf(178,negated_conjecture,(union(empty_set,empty_set)!=empty_set|$false),inference(rw,[status(thm)],[177,152,theory(equality)])).
% cnf(179,negated_conjecture,(union(empty_set,empty_set)!=empty_set),inference(cn,[status(thm)],[178,theory(equality)])).
% cnf(184,plain,(member(esk1_2(empty_set,union(X1,X2)),X1)|member(esk1_2(empty_set,union(X1,X2)),X2)|empty_set=union(X1,X2)),inference(spm,[status(thm)],[22,100,theory(equality)])).
% cnf(202,plain,(union(empty_set,X1)=empty_set|member(esk1_2(empty_set,union(empty_set,X1)),X1)),inference(spm,[status(thm)],[16,184,theory(equality)])).
% cnf(212,plain,(union(empty_set,empty_set)=empty_set),inference(spm,[status(thm)],[16,202,theory(equality)])).
% cnf(217,plain,($false),inference(sr,[status(thm)],[212,179,theory(equality)])).
% cnf(218,plain,($false),217,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 94
% # ...of these trivial : 1
% # ...subsumed : 27
% # ...remaining for further processing: 66
% # Other redundant clauses eliminated : 2
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 0
% # Backward-rewritten : 16
% # Generated clauses : 114
% # ...of the previous two non-trivial : 100
% # Contextual simplify-reflections : 1
% # Paramodulations : 108
% # Factorizations : 4
% # Equation resolutions : 2
% # Current number of processed clauses: 31
% # Positive orientable unit clauses: 5
% # Positive unorientable unit clauses: 1
% # Negative unit clauses : 2
% # Non-unit-clauses : 23
% # Current number of unprocessed clauses: 22
% # ...number of literals in the above : 67
% # Clause-clause subsumption calls (NU) : 69
% # Rec. Clause-clause subsumption calls : 66
% # Unit Clause-clause subsumption calls : 0
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 6
% # Indexed BW rewrite successes : 6
% # Backwards rewriting index: 29 leaves, 1.48+/-1.004 terms/leaf
% # Paramod-from index: 13 leaves, 1.31+/-0.606 terms/leaf
% # Paramod-into index: 28 leaves, 1.32+/-0.658 terms/leaf
% # -------------------------------------------------
% # User time : 0.015 s
% # System time : 0.004 s
% # Total time : 0.019 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.09 CPU 0.18 WC
% FINAL PrfWatch: 0.09 CPU 0.18 WC
% SZS output end Solution for /tmp/SystemOnTPTP28604/SET600+3.tptp
%
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