TSTP Solution File: SEU305+2 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU305+2 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art01.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 03:21:28 EST 2010
% Result : Theorem 21.33s
% Output : Solution 21.33s
% 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/SystemOnTPTP1022/SEU305+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP1022/SEU305+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP1022/SEU305+2.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 1118
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.01 CPU 0.01 WC
% PrfWatch: 1.81 CPU 2.09 WC
% PrfWatch: 3.39 CPU 4.10 WC
% PrfWatch: 5.24 CPU 6.10 WC
% PrfWatch: 7.23 CPU 8.11 WC
% # Preprocessing time : 0.204 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 9.22 CPU 10.12 WC
% # SZS output start CNFRefutation.
% fof(3, axiom,![X1]:![X2]:![X3]:(((((~(empty_carrier(X1))&join_commutative(X1))&join_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>join_commut(X1,X2,X3)=join_commut(X1,X3,X2)),file('/tmp/SRASS.s.p', commutativity_k3_lattices)).
% fof(4, axiom,![X1]:((~(empty_carrier(X1))&join_semilatt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>(below(X1,X2,X3)<=>join(X1,X2,X3)=X3)))),file('/tmp/SRASS.s.p', d3_lattices)).
% fof(7, axiom,![X1]:![X2]:![X3]:(((((~(empty_carrier(X1))&join_commutative(X1))&join_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>join_commut(X1,X2,X3)=join(X1,X2,X3)),file('/tmp/SRASS.s.p', redefinition_k3_lattices)).
% fof(454, conjecture,![X1]:(((~(empty_carrier(X1))&join_commutative(X1))&join_semilatt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>((below(X1,X2,X3)&below(X1,X3,X2))=>X2=X3)))),file('/tmp/SRASS.s.p', t26_lattices)).
% fof(455, negated_conjecture,~(![X1]:(((~(empty_carrier(X1))&join_commutative(X1))&join_semilatt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>((below(X1,X2,X3)&below(X1,X3,X2))=>X2=X3))))),inference(assume_negation,[status(cth)],[454])).
% fof(456, plain,![X1]:![X2]:![X3]:(((((~(empty_carrier(X1))&join_commutative(X1))&join_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>join_commut(X1,X2,X3)=join_commut(X1,X3,X2)),inference(fof_simplification,[status(thm)],[3,theory(equality)])).
% fof(457, plain,![X1]:((~(empty_carrier(X1))&join_semilatt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>(below(X1,X2,X3)<=>join(X1,X2,X3)=X3)))),inference(fof_simplification,[status(thm)],[4,theory(equality)])).
% fof(460, plain,![X1]:![X2]:![X3]:(((((~(empty_carrier(X1))&join_commutative(X1))&join_semilatt_str(X1))&element(X2,the_carrier(X1)))&element(X3,the_carrier(X1)))=>join_commut(X1,X2,X3)=join(X1,X2,X3)),inference(fof_simplification,[status(thm)],[7,theory(equality)])).
% fof(527, negated_conjecture,~(![X1]:(((~(empty_carrier(X1))&join_commutative(X1))&join_semilatt_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>((below(X1,X2,X3)&below(X1,X3,X2))=>X2=X3))))),inference(fof_simplification,[status(thm)],[455,theory(equality)])).
% fof(540, plain,![X1]:![X2]:![X3]:(((((empty_carrier(X1)|~(join_commutative(X1)))|~(join_semilatt_str(X1)))|~(element(X2,the_carrier(X1))))|~(element(X3,the_carrier(X1))))|join_commut(X1,X2,X3)=join_commut(X1,X3,X2)),inference(fof_nnf,[status(thm)],[456])).
% fof(541, plain,![X4]:![X5]:![X6]:(((((empty_carrier(X4)|~(join_commutative(X4)))|~(join_semilatt_str(X4)))|~(element(X5,the_carrier(X4))))|~(element(X6,the_carrier(X4))))|join_commut(X4,X5,X6)=join_commut(X4,X6,X5)),inference(variable_rename,[status(thm)],[540])).
% cnf(542,plain,(join_commut(X1,X2,X3)=join_commut(X1,X3,X2)|empty_carrier(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~join_semilatt_str(X1)|~join_commutative(X1)),inference(split_conjunct,[status(thm)],[541])).
% fof(543, plain,![X1]:((empty_carrier(X1)|~(join_semilatt_str(X1)))|![X2]:(~(element(X2,the_carrier(X1)))|![X3]:(~(element(X3,the_carrier(X1)))|((~(below(X1,X2,X3))|join(X1,X2,X3)=X3)&(~(join(X1,X2,X3)=X3)|below(X1,X2,X3)))))),inference(fof_nnf,[status(thm)],[457])).
% fof(544, plain,![X4]:((empty_carrier(X4)|~(join_semilatt_str(X4)))|![X5]:(~(element(X5,the_carrier(X4)))|![X6]:(~(element(X6,the_carrier(X4)))|((~(below(X4,X5,X6))|join(X4,X5,X6)=X6)&(~(join(X4,X5,X6)=X6)|below(X4,X5,X6)))))),inference(variable_rename,[status(thm)],[543])).
% fof(545, plain,![X4]:![X5]:![X6]:(((~(element(X6,the_carrier(X4)))|((~(below(X4,X5,X6))|join(X4,X5,X6)=X6)&(~(join(X4,X5,X6)=X6)|below(X4,X5,X6))))|~(element(X5,the_carrier(X4))))|(empty_carrier(X4)|~(join_semilatt_str(X4)))),inference(shift_quantors,[status(thm)],[544])).
% fof(546, plain,![X4]:![X5]:![X6]:(((((~(below(X4,X5,X6))|join(X4,X5,X6)=X6)|~(element(X6,the_carrier(X4))))|~(element(X5,the_carrier(X4))))|(empty_carrier(X4)|~(join_semilatt_str(X4))))&((((~(join(X4,X5,X6)=X6)|below(X4,X5,X6))|~(element(X6,the_carrier(X4))))|~(element(X5,the_carrier(X4))))|(empty_carrier(X4)|~(join_semilatt_str(X4))))),inference(distribute,[status(thm)],[545])).
% cnf(548,plain,(empty_carrier(X1)|join(X1,X2,X3)=X3|~join_semilatt_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))|~below(X1,X2,X3)),inference(split_conjunct,[status(thm)],[546])).
% fof(555, plain,![X1]:![X2]:![X3]:(((((empty_carrier(X1)|~(join_commutative(X1)))|~(join_semilatt_str(X1)))|~(element(X2,the_carrier(X1))))|~(element(X3,the_carrier(X1))))|join_commut(X1,X2,X3)=join(X1,X2,X3)),inference(fof_nnf,[status(thm)],[460])).
% fof(556, plain,![X4]:![X5]:![X6]:(((((empty_carrier(X4)|~(join_commutative(X4)))|~(join_semilatt_str(X4)))|~(element(X5,the_carrier(X4))))|~(element(X6,the_carrier(X4))))|join_commut(X4,X5,X6)=join(X4,X5,X6)),inference(variable_rename,[status(thm)],[555])).
% cnf(557,plain,(join_commut(X1,X2,X3)=join(X1,X2,X3)|empty_carrier(X1)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~join_semilatt_str(X1)|~join_commutative(X1)),inference(split_conjunct,[status(thm)],[556])).
% fof(3429, negated_conjecture,?[X1]:(((~(empty_carrier(X1))&join_commutative(X1))&join_semilatt_str(X1))&?[X2]:(element(X2,the_carrier(X1))&?[X3]:(element(X3,the_carrier(X1))&((below(X1,X2,X3)&below(X1,X3,X2))&~(X2=X3))))),inference(fof_nnf,[status(thm)],[527])).
% fof(3430, negated_conjecture,?[X4]:(((~(empty_carrier(X4))&join_commutative(X4))&join_semilatt_str(X4))&?[X5]:(element(X5,the_carrier(X4))&?[X6]:(element(X6,the_carrier(X4))&((below(X4,X5,X6)&below(X4,X6,X5))&~(X5=X6))))),inference(variable_rename,[status(thm)],[3429])).
% fof(3431, negated_conjecture,(((~(empty_carrier(esk309_0))&join_commutative(esk309_0))&join_semilatt_str(esk309_0))&(element(esk310_0,the_carrier(esk309_0))&(element(esk311_0,the_carrier(esk309_0))&((below(esk309_0,esk310_0,esk311_0)&below(esk309_0,esk311_0,esk310_0))&~(esk310_0=esk311_0))))),inference(skolemize,[status(esa)],[3430])).
% cnf(3432,negated_conjecture,(esk310_0!=esk311_0),inference(split_conjunct,[status(thm)],[3431])).
% cnf(3433,negated_conjecture,(below(esk309_0,esk311_0,esk310_0)),inference(split_conjunct,[status(thm)],[3431])).
% cnf(3434,negated_conjecture,(below(esk309_0,esk310_0,esk311_0)),inference(split_conjunct,[status(thm)],[3431])).
% cnf(3435,negated_conjecture,(element(esk311_0,the_carrier(esk309_0))),inference(split_conjunct,[status(thm)],[3431])).
% cnf(3436,negated_conjecture,(element(esk310_0,the_carrier(esk309_0))),inference(split_conjunct,[status(thm)],[3431])).
% cnf(3437,negated_conjecture,(join_semilatt_str(esk309_0)),inference(split_conjunct,[status(thm)],[3431])).
% cnf(3438,negated_conjecture,(join_commutative(esk309_0)),inference(split_conjunct,[status(thm)],[3431])).
% cnf(3439,negated_conjecture,(~empty_carrier(esk309_0)),inference(split_conjunct,[status(thm)],[3431])).
% cnf(7835,negated_conjecture,(join(esk309_0,X1,esk311_0)=esk311_0|empty_carrier(esk309_0)|~below(esk309_0,X1,esk311_0)|~element(X1,the_carrier(esk309_0))|~join_semilatt_str(esk309_0)),inference(spm,[status(thm)],[548,3435,theory(equality)])).
% cnf(7836,negated_conjecture,(join(esk309_0,X1,esk310_0)=esk310_0|empty_carrier(esk309_0)|~below(esk309_0,X1,esk310_0)|~element(X1,the_carrier(esk309_0))|~join_semilatt_str(esk309_0)),inference(spm,[status(thm)],[548,3436,theory(equality)])).
% cnf(7845,negated_conjecture,(join(esk309_0,X1,esk311_0)=esk311_0|empty_carrier(esk309_0)|~below(esk309_0,X1,esk311_0)|~element(X1,the_carrier(esk309_0))|$false),inference(rw,[status(thm)],[7835,3437,theory(equality)])).
% cnf(7846,negated_conjecture,(join(esk309_0,X1,esk311_0)=esk311_0|empty_carrier(esk309_0)|~below(esk309_0,X1,esk311_0)|~element(X1,the_carrier(esk309_0))),inference(cn,[status(thm)],[7845,theory(equality)])).
% cnf(7847,negated_conjecture,(join(esk309_0,X1,esk311_0)=esk311_0|~below(esk309_0,X1,esk311_0)|~element(X1,the_carrier(esk309_0))),inference(sr,[status(thm)],[7846,3439,theory(equality)])).
% cnf(7848,negated_conjecture,(join(esk309_0,X1,esk310_0)=esk310_0|empty_carrier(esk309_0)|~below(esk309_0,X1,esk310_0)|~element(X1,the_carrier(esk309_0))|$false),inference(rw,[status(thm)],[7836,3437,theory(equality)])).
% cnf(7849,negated_conjecture,(join(esk309_0,X1,esk310_0)=esk310_0|empty_carrier(esk309_0)|~below(esk309_0,X1,esk310_0)|~element(X1,the_carrier(esk309_0))),inference(cn,[status(thm)],[7848,theory(equality)])).
% cnf(7850,negated_conjecture,(join(esk309_0,X1,esk310_0)=esk310_0|~below(esk309_0,X1,esk310_0)|~element(X1,the_carrier(esk309_0))),inference(sr,[status(thm)],[7849,3439,theory(equality)])).
% cnf(10823,negated_conjecture,(join_commut(esk309_0,X1,esk311_0)=join(esk309_0,X1,esk311_0)|empty_carrier(esk309_0)|~join_commutative(esk309_0)|~element(X1,the_carrier(esk309_0))|~join_semilatt_str(esk309_0)),inference(spm,[status(thm)],[557,3435,theory(equality)])).
% cnf(10824,negated_conjecture,(join_commut(esk309_0,X1,esk310_0)=join(esk309_0,X1,esk310_0)|empty_carrier(esk309_0)|~join_commutative(esk309_0)|~element(X1,the_carrier(esk309_0))|~join_semilatt_str(esk309_0)),inference(spm,[status(thm)],[557,3436,theory(equality)])).
% cnf(10834,negated_conjecture,(join_commut(esk309_0,X1,esk311_0)=join(esk309_0,X1,esk311_0)|empty_carrier(esk309_0)|$false|~element(X1,the_carrier(esk309_0))|~join_semilatt_str(esk309_0)),inference(rw,[status(thm)],[10823,3438,theory(equality)])).
% cnf(10835,negated_conjecture,(join_commut(esk309_0,X1,esk311_0)=join(esk309_0,X1,esk311_0)|empty_carrier(esk309_0)|$false|~element(X1,the_carrier(esk309_0))|$false),inference(rw,[status(thm)],[10834,3437,theory(equality)])).
% cnf(10836,negated_conjecture,(join_commut(esk309_0,X1,esk311_0)=join(esk309_0,X1,esk311_0)|empty_carrier(esk309_0)|~element(X1,the_carrier(esk309_0))),inference(cn,[status(thm)],[10835,theory(equality)])).
% cnf(10837,negated_conjecture,(join_commut(esk309_0,X1,esk311_0)=join(esk309_0,X1,esk311_0)|~element(X1,the_carrier(esk309_0))),inference(sr,[status(thm)],[10836,3439,theory(equality)])).
% cnf(10838,negated_conjecture,(join_commut(esk309_0,X1,esk310_0)=join(esk309_0,X1,esk310_0)|empty_carrier(esk309_0)|$false|~element(X1,the_carrier(esk309_0))|~join_semilatt_str(esk309_0)),inference(rw,[status(thm)],[10824,3438,theory(equality)])).
% cnf(10839,negated_conjecture,(join_commut(esk309_0,X1,esk310_0)=join(esk309_0,X1,esk310_0)|empty_carrier(esk309_0)|$false|~element(X1,the_carrier(esk309_0))|$false),inference(rw,[status(thm)],[10838,3437,theory(equality)])).
% cnf(10840,negated_conjecture,(join_commut(esk309_0,X1,esk310_0)=join(esk309_0,X1,esk310_0)|empty_carrier(esk309_0)|~element(X1,the_carrier(esk309_0))),inference(cn,[status(thm)],[10839,theory(equality)])).
% cnf(10841,negated_conjecture,(join_commut(esk309_0,X1,esk310_0)=join(esk309_0,X1,esk310_0)|~element(X1,the_carrier(esk309_0))),inference(sr,[status(thm)],[10840,3439,theory(equality)])).
% cnf(12887,negated_conjecture,(join_commut(esk309_0,X1,esk311_0)=join_commut(esk309_0,esk311_0,X1)|empty_carrier(esk309_0)|~join_commutative(esk309_0)|~element(X1,the_carrier(esk309_0))|~join_semilatt_str(esk309_0)),inference(spm,[status(thm)],[542,3435,theory(equality)])).
% cnf(12898,negated_conjecture,(join_commut(esk309_0,X1,esk311_0)=join_commut(esk309_0,esk311_0,X1)|empty_carrier(esk309_0)|$false|~element(X1,the_carrier(esk309_0))|~join_semilatt_str(esk309_0)),inference(rw,[status(thm)],[12887,3438,theory(equality)])).
% cnf(12899,negated_conjecture,(join_commut(esk309_0,X1,esk311_0)=join_commut(esk309_0,esk311_0,X1)|empty_carrier(esk309_0)|$false|~element(X1,the_carrier(esk309_0))|$false),inference(rw,[status(thm)],[12898,3437,theory(equality)])).
% cnf(12900,negated_conjecture,(join_commut(esk309_0,X1,esk311_0)=join_commut(esk309_0,esk311_0,X1)|empty_carrier(esk309_0)|~element(X1,the_carrier(esk309_0))),inference(cn,[status(thm)],[12899,theory(equality)])).
% cnf(12901,negated_conjecture,(join_commut(esk309_0,X1,esk311_0)=join_commut(esk309_0,esk311_0,X1)|~element(X1,the_carrier(esk309_0))),inference(sr,[status(thm)],[12900,3439,theory(equality)])).
% cnf(102022,negated_conjecture,(join(esk309_0,esk310_0,esk311_0)=esk311_0|~below(esk309_0,esk310_0,esk311_0)),inference(spm,[status(thm)],[7847,3436,theory(equality)])).
% cnf(102034,negated_conjecture,(join(esk309_0,esk310_0,esk311_0)=esk311_0|$false),inference(rw,[status(thm)],[102022,3434,theory(equality)])).
% cnf(102035,negated_conjecture,(join(esk309_0,esk310_0,esk311_0)=esk311_0),inference(cn,[status(thm)],[102034,theory(equality)])).
% cnf(102064,negated_conjecture,(join(esk309_0,esk311_0,esk310_0)=esk310_0|~below(esk309_0,esk311_0,esk310_0)),inference(spm,[status(thm)],[7850,3435,theory(equality)])).
% cnf(102077,negated_conjecture,(join(esk309_0,esk311_0,esk310_0)=esk310_0|$false),inference(rw,[status(thm)],[102064,3433,theory(equality)])).
% cnf(102078,negated_conjecture,(join(esk309_0,esk311_0,esk310_0)=esk310_0),inference(cn,[status(thm)],[102077,theory(equality)])).
% cnf(102455,negated_conjecture,(join_commut(esk309_0,esk310_0,esk311_0)=join(esk309_0,esk310_0,esk311_0)),inference(spm,[status(thm)],[10837,3436,theory(equality)])).
% cnf(102467,negated_conjecture,(join_commut(esk309_0,esk310_0,esk311_0)=esk311_0),inference(rw,[status(thm)],[102455,102035,theory(equality)])).
% cnf(102833,negated_conjecture,(join_commut(esk309_0,esk311_0,esk310_0)=join(esk309_0,esk311_0,esk310_0)),inference(spm,[status(thm)],[10841,3435,theory(equality)])).
% cnf(102847,negated_conjecture,(join_commut(esk309_0,esk311_0,esk310_0)=esk310_0),inference(rw,[status(thm)],[102833,102078,theory(equality)])).
% cnf(120562,negated_conjecture,(join_commut(esk309_0,esk310_0,esk311_0)=join_commut(esk309_0,esk311_0,esk310_0)),inference(spm,[status(thm)],[12901,3436,theory(equality)])).
% cnf(120578,negated_conjecture,(esk311_0=join_commut(esk309_0,esk311_0,esk310_0)),inference(rw,[status(thm)],[120562,102467,theory(equality)])).
% cnf(120579,negated_conjecture,(esk311_0=esk310_0),inference(rw,[status(thm)],[120578,102847,theory(equality)])).
% cnf(120580,negated_conjecture,($false),inference(sr,[status(thm)],[120579,3432,theory(equality)])).
% cnf(120581,negated_conjecture,($false),120580,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 5506
% # ...of these trivial : 82
% # ...subsumed : 1222
% # ...remaining for further processing: 4202
% # Other redundant clauses eliminated : 563
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 10
% # Backward-rewritten : 81
% # Generated clauses : 108415
% # ...of the previous two non-trivial : 105765
% # Contextual simplify-reflections : 465
% # Paramodulations : 107762
% # Factorizations : 14
% # Equation resolutions : 685
% # Current number of processed clauses: 2319
% # Positive orientable unit clauses: 316
% # Positive unorientable unit clauses: 4
% # Negative unit clauses : 74
% # Non-unit-clauses : 1925
% # Current number of unprocessed clauses: 100587
% # ...number of literals in the above : 653410
% # Clause-clause subsumption calls (NU) : 3019838
% # Rec. Clause-clause subsumption calls : 223066
% # Unit Clause-clause subsumption calls : 108262
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 123
% # Indexed BW rewrite successes : 55
% # Backwards rewriting index: 1813 leaves, 1.59+/-3.515 terms/leaf
% # Paramod-from index: 757 leaves, 1.13+/-1.522 terms/leaf
% # Paramod-into index: 1466 leaves, 1.37+/-2.874 terms/leaf
% # -------------------------------------------------
% # User time : 8.287 s
% # System time : 0.220 s
% # Total time : 8.507 s
% # Maximum resident set size: 0 pages
% PrfWatch: 11.08 CPU 11.97 WC
% FINAL PrfWatch: 11.08 CPU 11.97 WC
% SZS output end Solution for /tmp/SystemOnTPTP1022/SEU305+2.tptp
%
%------------------------------------------------------------------------------