TSTP Solution File: LCL538+1 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : LCL538+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : art05.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 13:52:33 EST 2010

% Result   : Theorem 1.16s
% Output   : Solution 1.16s
% 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/SystemOnTPTP7475/LCL538+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP7475/LCL538+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP7475/LCL538+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 7571
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time     : 0.022 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,(modus_ponens_strict_implies<=>![X1]:![X2]:((is_a_theorem(X1)&is_a_theorem(strict_implies(X1,X2)))=>is_a_theorem(X2))),file('/tmp/SRASS.s.p', modus_ponens_strict_implies)).
% fof(9, axiom,axiom_M,file('/tmp/SRASS.s.p', km4b_axiom_M)).
% fof(13, axiom,op_strict_implies,file('/tmp/SRASS.s.p', s1_0_op_strict_implies)).
% fof(23, axiom,modus_ponens,file('/tmp/SRASS.s.p', hilbert_modus_ponens)).
% fof(50, axiom,(axiom_M<=>![X1]:is_a_theorem(implies(necessarily(X1),X1))),file('/tmp/SRASS.s.p', axiom_M)).
% fof(58, axiom,(op_strict_implies=>![X1]:![X2]:strict_implies(X1,X2)=necessarily(implies(X1,X2))),file('/tmp/SRASS.s.p', op_strict_implies)).
% fof(59, axiom,(modus_ponens<=>![X1]:![X2]:((is_a_theorem(X1)&is_a_theorem(implies(X1,X2)))=>is_a_theorem(X2))),file('/tmp/SRASS.s.p', modus_ponens)).
% fof(89, conjecture,modus_ponens_strict_implies,file('/tmp/SRASS.s.p', s1_0_modus_ponens_strict_implies)).
% fof(90, negated_conjecture,~(modus_ponens_strict_implies),inference(assume_negation,[status(cth)],[89])).
% fof(91, negated_conjecture,~(modus_ponens_strict_implies),inference(fof_simplification,[status(thm)],[90,theory(equality)])).
% fof(92, plain,((~(modus_ponens_strict_implies)|![X1]:![X2]:((~(is_a_theorem(X1))|~(is_a_theorem(strict_implies(X1,X2))))|is_a_theorem(X2)))&(?[X1]:?[X2]:((is_a_theorem(X1)&is_a_theorem(strict_implies(X1,X2)))&~(is_a_theorem(X2)))|modus_ponens_strict_implies)),inference(fof_nnf,[status(thm)],[1])).
% fof(93, plain,((~(modus_ponens_strict_implies)|![X3]:![X4]:((~(is_a_theorem(X3))|~(is_a_theorem(strict_implies(X3,X4))))|is_a_theorem(X4)))&(?[X5]:?[X6]:((is_a_theorem(X5)&is_a_theorem(strict_implies(X5,X6)))&~(is_a_theorem(X6)))|modus_ponens_strict_implies)),inference(variable_rename,[status(thm)],[92])).
% fof(94, plain,((~(modus_ponens_strict_implies)|![X3]:![X4]:((~(is_a_theorem(X3))|~(is_a_theorem(strict_implies(X3,X4))))|is_a_theorem(X4)))&(((is_a_theorem(esk1_0)&is_a_theorem(strict_implies(esk1_0,esk2_0)))&~(is_a_theorem(esk2_0)))|modus_ponens_strict_implies)),inference(skolemize,[status(esa)],[93])).
% fof(95, plain,![X3]:![X4]:((((~(is_a_theorem(X3))|~(is_a_theorem(strict_implies(X3,X4))))|is_a_theorem(X4))|~(modus_ponens_strict_implies))&(((is_a_theorem(esk1_0)&is_a_theorem(strict_implies(esk1_0,esk2_0)))&~(is_a_theorem(esk2_0)))|modus_ponens_strict_implies)),inference(shift_quantors,[status(thm)],[94])).
% fof(96, plain,![X3]:![X4]:((((~(is_a_theorem(X3))|~(is_a_theorem(strict_implies(X3,X4))))|is_a_theorem(X4))|~(modus_ponens_strict_implies))&(((is_a_theorem(esk1_0)|modus_ponens_strict_implies)&(is_a_theorem(strict_implies(esk1_0,esk2_0))|modus_ponens_strict_implies))&(~(is_a_theorem(esk2_0))|modus_ponens_strict_implies))),inference(distribute,[status(thm)],[95])).
% cnf(97,plain,(modus_ponens_strict_implies|~is_a_theorem(esk2_0)),inference(split_conjunct,[status(thm)],[96])).
% cnf(98,plain,(modus_ponens_strict_implies|is_a_theorem(strict_implies(esk1_0,esk2_0))),inference(split_conjunct,[status(thm)],[96])).
% cnf(99,plain,(modus_ponens_strict_implies|is_a_theorem(esk1_0)),inference(split_conjunct,[status(thm)],[96])).
% cnf(108,plain,(axiom_M),inference(split_conjunct,[status(thm)],[9])).
% cnf(112,plain,(op_strict_implies),inference(split_conjunct,[status(thm)],[13])).
% cnf(147,plain,(modus_ponens),inference(split_conjunct,[status(thm)],[23])).
% fof(249, plain,((~(axiom_M)|![X1]:is_a_theorem(implies(necessarily(X1),X1)))&(?[X1]:~(is_a_theorem(implies(necessarily(X1),X1)))|axiom_M)),inference(fof_nnf,[status(thm)],[50])).
% fof(250, plain,((~(axiom_M)|![X2]:is_a_theorem(implies(necessarily(X2),X2)))&(?[X3]:~(is_a_theorem(implies(necessarily(X3),X3)))|axiom_M)),inference(variable_rename,[status(thm)],[249])).
% fof(251, plain,((~(axiom_M)|![X2]:is_a_theorem(implies(necessarily(X2),X2)))&(~(is_a_theorem(implies(necessarily(esk36_0),esk36_0)))|axiom_M)),inference(skolemize,[status(esa)],[250])).
% fof(252, plain,![X2]:((is_a_theorem(implies(necessarily(X2),X2))|~(axiom_M))&(~(is_a_theorem(implies(necessarily(esk36_0),esk36_0)))|axiom_M)),inference(shift_quantors,[status(thm)],[251])).
% cnf(254,plain,(is_a_theorem(implies(necessarily(X1),X1))|~axiom_M),inference(split_conjunct,[status(thm)],[252])).
% fof(299, plain,(~(op_strict_implies)|![X1]:![X2]:strict_implies(X1,X2)=necessarily(implies(X1,X2))),inference(fof_nnf,[status(thm)],[58])).
% fof(300, plain,(~(op_strict_implies)|![X3]:![X4]:strict_implies(X3,X4)=necessarily(implies(X3,X4))),inference(variable_rename,[status(thm)],[299])).
% fof(301, plain,![X3]:![X4]:(strict_implies(X3,X4)=necessarily(implies(X3,X4))|~(op_strict_implies)),inference(shift_quantors,[status(thm)],[300])).
% cnf(302,plain,(strict_implies(X1,X2)=necessarily(implies(X1,X2))|~op_strict_implies),inference(split_conjunct,[status(thm)],[301])).
% fof(303, plain,((~(modus_ponens)|![X1]:![X2]:((~(is_a_theorem(X1))|~(is_a_theorem(implies(X1,X2))))|is_a_theorem(X2)))&(?[X1]:?[X2]:((is_a_theorem(X1)&is_a_theorem(implies(X1,X2)))&~(is_a_theorem(X2)))|modus_ponens)),inference(fof_nnf,[status(thm)],[59])).
% fof(304, plain,((~(modus_ponens)|![X3]:![X4]:((~(is_a_theorem(X3))|~(is_a_theorem(implies(X3,X4))))|is_a_theorem(X4)))&(?[X5]:?[X6]:((is_a_theorem(X5)&is_a_theorem(implies(X5,X6)))&~(is_a_theorem(X6)))|modus_ponens)),inference(variable_rename,[status(thm)],[303])).
% fof(305, plain,((~(modus_ponens)|![X3]:![X4]:((~(is_a_theorem(X3))|~(is_a_theorem(implies(X3,X4))))|is_a_theorem(X4)))&(((is_a_theorem(esk49_0)&is_a_theorem(implies(esk49_0,esk50_0)))&~(is_a_theorem(esk50_0)))|modus_ponens)),inference(skolemize,[status(esa)],[304])).
% fof(306, plain,![X3]:![X4]:((((~(is_a_theorem(X3))|~(is_a_theorem(implies(X3,X4))))|is_a_theorem(X4))|~(modus_ponens))&(((is_a_theorem(esk49_0)&is_a_theorem(implies(esk49_0,esk50_0)))&~(is_a_theorem(esk50_0)))|modus_ponens)),inference(shift_quantors,[status(thm)],[305])).
% fof(307, plain,![X3]:![X4]:((((~(is_a_theorem(X3))|~(is_a_theorem(implies(X3,X4))))|is_a_theorem(X4))|~(modus_ponens))&(((is_a_theorem(esk49_0)|modus_ponens)&(is_a_theorem(implies(esk49_0,esk50_0))|modus_ponens))&(~(is_a_theorem(esk50_0))|modus_ponens))),inference(distribute,[status(thm)],[306])).
% cnf(311,plain,(is_a_theorem(X1)|~modus_ponens|~is_a_theorem(implies(X2,X1))|~is_a_theorem(X2)),inference(split_conjunct,[status(thm)],[307])).
% cnf(467,negated_conjecture,(~modus_ponens_strict_implies),inference(split_conjunct,[status(thm)],[91])).
% cnf(471,plain,(~is_a_theorem(esk2_0)),inference(sr,[status(thm)],[97,467,theory(equality)])).
% cnf(473,plain,(is_a_theorem(esk1_0)),inference(sr,[status(thm)],[99,467,theory(equality)])).
% cnf(478,plain,(is_a_theorem(strict_implies(esk1_0,esk2_0))),inference(sr,[status(thm)],[98,467,theory(equality)])).
% cnf(492,plain,(is_a_theorem(implies(necessarily(X1),X1))|$false),inference(rw,[status(thm)],[254,108,theory(equality)])).
% cnf(493,plain,(is_a_theorem(implies(necessarily(X1),X1))),inference(cn,[status(thm)],[492,theory(equality)])).
% cnf(519,plain,(is_a_theorem(X1)|$false|~is_a_theorem(X2)|~is_a_theorem(implies(X2,X1))),inference(rw,[status(thm)],[311,147,theory(equality)])).
% cnf(520,plain,(is_a_theorem(X1)|~is_a_theorem(X2)|~is_a_theorem(implies(X2,X1))),inference(cn,[status(thm)],[519,theory(equality)])).
% cnf(521,plain,(is_a_theorem(X1)|~is_a_theorem(necessarily(X1))),inference(spm,[status(thm)],[520,493,theory(equality)])).
% cnf(528,plain,(necessarily(implies(X1,X2))=strict_implies(X1,X2)|$false),inference(rw,[status(thm)],[302,112,theory(equality)])).
% cnf(529,plain,(necessarily(implies(X1,X2))=strict_implies(X1,X2)),inference(cn,[status(thm)],[528,theory(equality)])).
% cnf(649,plain,(is_a_theorem(implies(X1,X2))|~is_a_theorem(strict_implies(X1,X2))),inference(spm,[status(thm)],[521,529,theory(equality)])).
% cnf(769,plain,(is_a_theorem(implies(esk1_0,esk2_0))),inference(spm,[status(thm)],[649,478,theory(equality)])).
% cnf(805,plain,(is_a_theorem(esk2_0)|~is_a_theorem(esk1_0)),inference(spm,[status(thm)],[520,769,theory(equality)])).
% cnf(807,plain,(is_a_theorem(esk2_0)|$false),inference(rw,[status(thm)],[805,473,theory(equality)])).
% cnf(808,plain,(is_a_theorem(esk2_0)),inference(cn,[status(thm)],[807,theory(equality)])).
% cnf(809,plain,($false),inference(sr,[status(thm)],[808,471,theory(equality)])).
% cnf(810,plain,($false),809,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 221
% # ...of these trivial                : 30
% # ...subsumed                        : 4
% # ...remaining for further processing: 187
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 0
% # Backward-rewritten                 : 11
% # Generated clauses                  : 193
% # ...of the previous two non-trivial : 171
% # Contextual simplify-reflections    : 0
% # Paramodulations                    : 193
% # Factorizations                     : 0
% # Equation resolutions               : 0
% # Current number of processed clauses: 176
% #    Positive orientable unit clauses: 75
% #    Positive unorientable unit clauses: 1
% #    Negative unit clauses           : 2
% #    Non-unit-clauses                : 98
% # Current number of unprocessed clauses: 97
% # ...number of literals in the above : 123
% # Clause-clause subsumption calls (NU) : 1648
% # Rec. Clause-clause subsumption calls : 1638
% # Unit Clause-clause subsumption calls : 417
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 63
% # Indexed BW rewrite successes       : 12
% # Backwards rewriting index:   362 leaves,   1.21+/-0.674 terms/leaf
% # Paramod-from index:           74 leaves,   1.16+/-0.466 terms/leaf
% # Paramod-into index:          317 leaves,   1.13+/-0.451 terms/leaf
% # -------------------------------------------------
% # User time              : 0.037 s
% # System time            : 0.001 s
% # Total time             : 0.038 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.14 CPU 0.22 WC
% FINAL PrfWatch: 0.14 CPU 0.22 WC
% SZS output end Solution for /tmp/SystemOnTPTP7475/LCL538+1.tptp
% 
%------------------------------------------------------------------------------