TSTP Solution File: SET596^5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SET596^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 02:54:28 EDT 2024

% Result   : Theorem 0.23s 0.51s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SET596^5 : TPTP v8.2.0. Released v4.0.0.
% 0.08/0.14  % Command    : run_E %s %d THM
% 0.15/0.37  % Computer : n013.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Mon May 20 12:23:23 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.23/0.50  Running higher-order theorem proving
% 0.23/0.50  Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.51  # Version: 3.1.0-ho
% 0.23/0.51  # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.23/0.51  # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.51  # Starting post_as_ho12 with 300s (1) cores
% 0.23/0.51  # Starting new_bool_9 with 300s (1) cores
% 0.23/0.51  # Starting post_as_ho1 with 300s (1) cores
% 0.23/0.51  # Starting post_as_ho4 with 300s (1) cores
% 0.23/0.51  # Starting post_as_ho2 with 300s (1) cores
% 0.23/0.51  # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.23/0.51  # Starting full_lambda_10 with 300s (1) cores
% 0.23/0.51  # Starting new_ho_8 with 300s (1) cores
% 0.23/0.51  # new_bool_9 with pid 27478 completed with status 0
% 0.23/0.51  # Result found by new_bool_9
% 0.23/0.51  # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.23/0.51  # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.51  # Starting post_as_ho12 with 300s (1) cores
% 0.23/0.51  # Starting new_bool_9 with 300s (1) cores
% 0.23/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.23/0.51  # Search class: HHUSF-FFSF00-MSSFFFNN
% 0.23/0.51  # partial match(1): HHUSF-FFSF00-SSSFFFNN
% 0.23/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.51  # Starting new_ho_10 with 181s (1) cores
% 0.23/0.51  # new_ho_10 with pid 27485 completed with status 0
% 0.23/0.51  # Result found by new_ho_10
% 0.23/0.51  # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.23/0.51  # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.51  # Starting post_as_ho12 with 300s (1) cores
% 0.23/0.51  # Starting new_bool_9 with 300s (1) cores
% 0.23/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.23/0.51  # Search class: HHUSF-FFSF00-MSSFFFNN
% 0.23/0.51  # partial match(1): HHUSF-FFSF00-SSSFFFNN
% 0.23/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.51  # Starting new_ho_10 with 181s (1) cores
% 0.23/0.51  # Preprocessing time       : 0.001 s
% 0.23/0.51  # Presaturation interreduction done
% 0.23/0.51  
% 0.23/0.51  # Proof found!
% 0.23/0.51  # SZS status Theorem
% 0.23/0.51  # SZS output start CNFRefutation
% 0.23/0.51  thf(decl_sort1, type, a: $tType).
% 0.23/0.51  thf(decl_22, type, epred1_0: a > $o).
% 0.23/0.51  thf(decl_23, type, epred2_0: a > $o).
% 0.23/0.51  thf(decl_24, type, epred3_0: a > $o).
% 0.23/0.51  thf(decl_25, type, esk1_0: a).
% 0.23/0.51  thf(cBOOL_PROP_55_pme, conjecture, ![X1:a > $o, X2:a > $o, X3:a > $o]:(((![X4:a]:(((X1 @ X4)=>(X2 @ X4)))&((^[X4:a]:(((X2 @ X4)&(X3 @ X4))))=(^[X4:a]:(~($true)))))=>((^[X4:a]:(((X1 @ X4)&(X3 @ X4))))=(^[X4:a]:(~($true)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cBOOL_PROP_55_pme)).
% 0.23/0.51  thf(c_0_1, negated_conjecture, ~(![X1:a > $o, X2:a > $o, X3:a > $o]:(((![X4:a]:(((X1 @ X4)=>(X2 @ X4)))&((^[Z0/* 8 */:a]:((X2 @ Z0&X3 @ Z0)))=(^[Z0/* 7 */:a]:(~($true)))))=>((^[Z0/* 8 */:a]:((X1 @ Z0&X3 @ Z0)))=(^[Z0/* 7 */:a]:(~($true))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cBOOL_PROP_55_pme])])).
% 0.23/0.51  thf(c_0_2, negated_conjecture, ![X12:a]:((((~(epred1_0 @ X12)|(epred2_0 @ X12))&((^[Z0/* 8 */:a]:((epred2_0 @ Z0&epred3_0 @ Z0)))=(^[Z0/* 7 */:a]:(~($true)))))&((^[Z0/* 8 */:a]:((epred1_0 @ Z0&epred3_0 @ Z0)))!=(^[Z0/* 7 */:a]:(~($true)))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])).
% 0.23/0.51  thf(c_0_3, negated_conjecture, ((^[Z0/* 8 */:a]:(((epred1_0 @ Z0)&(epred3_0 @ Z0))))!=(^[Z0/* 7 */:a]:(~(($true))))), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.23/0.51  thf(c_0_4, negated_conjecture, ((^[Z0/* 8 */:a]:(((epred2_0 @ Z0)&(epred3_0 @ Z0))))=(^[Z0/* 7 */:a]:(~(($true))))), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.23/0.51  thf(c_0_5, negated_conjecture, ((^[Z0/* 8 */:a]:(((epred1_0 @ Z0)&(epred3_0 @ Z0))))!=(^[Z0/* 4 */:a]:(~($true)))), inference(cn,[status(thm)],[c_0_3])).
% 0.23/0.51  thf(c_0_6, negated_conjecture, ((^[Z0/* 8 */:a]:(((epred2_0 @ Z0)&(epred3_0 @ Z0))))=(^[Z0/* 4 */:a]:(~($true)))), inference(cn,[status(thm)],[c_0_4])).
% 0.23/0.51  thf(c_0_7, negated_conjecture, ((epred1_0 @ esk1_0)&(epred3_0 @ esk1_0)), inference(neg_ext,[status(thm)],[c_0_5])).
% 0.23/0.51  thf(c_0_8, negated_conjecture, ![X13:a]:(~(((epred2_0 @ X13)&(epred3_0 @ X13)))), inference(arg_cong,[status(thm)],[c_0_6])).
% 0.23/0.51  thf(c_0_9, negated_conjecture, ![X4:a]:(((epred2_0 @ X4)|~((epred1_0 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.23/0.51  thf(c_0_10, negated_conjecture, (epred1_0 @ esk1_0), inference(dynamic_cnf,[status(thm)],[c_0_7])).
% 0.23/0.51  thf(c_0_11, negated_conjecture, ![X4:a]:((~((epred2_0 @ X4))|~((epred3_0 @ X4)))), inference(dynamic_cnf,[status(thm)],[c_0_8])).
% 0.23/0.51  thf(c_0_12, negated_conjecture, (epred2_0 @ esk1_0), inference(spm,[status(thm)],[c_0_9, c_0_10])).
% 0.23/0.51  thf(c_0_13, negated_conjecture, (epred3_0 @ esk1_0), inference(dynamic_cnf,[status(thm)],[c_0_7])).
% 0.23/0.51  thf(c_0_14, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11, c_0_12]), c_0_13])]), ['proof']).
% 0.23/0.51  # SZS output end CNFRefutation
% 0.23/0.51  # Parsed axioms                        : 2
% 0.23/0.51  # Removed by relevancy pruning/SinE    : 1
% 0.23/0.51  # Initial clauses                      : 3
% 0.23/0.51  # Removed in clause preprocessing      : 0
% 0.23/0.51  # Initial clauses in saturation        : 3
% 0.23/0.51  # Processed clauses                    : 12
% 0.23/0.51  # ...of these trivial                  : 0
% 0.23/0.51  # ...subsumed                          : 0
% 0.23/0.51  # ...remaining for further processing  : 12
% 0.23/0.51  # Other redundant clauses eliminated   : 0
% 0.23/0.51  # Clauses deleted for lack of memory   : 0
% 0.23/0.51  # Backward-subsumed                    : 0
% 0.23/0.51  # Backward-rewritten                   : 0
% 0.23/0.51  # Generated clauses                    : 7
% 0.23/0.51  # ...of the previous two non-redundant : 6
% 0.23/0.51  # ...aggressively subsumed             : 0
% 0.23/0.51  # Contextual simplify-reflections      : 0
% 0.23/0.51  # Paramodulations                      : 2
% 0.23/0.51  # Factorizations                       : 0
% 0.23/0.51  # NegExts                              : 1
% 0.23/0.51  # Equation resolutions                 : 0
% 0.23/0.51  # Disequality decompositions           : 0
% 0.23/0.51  # Total rewrite steps                  : 1
% 0.23/0.51  # ...of those cached                   : 0
% 0.23/0.51  # Propositional unsat checks           : 0
% 0.23/0.51  #    Propositional check models        : 0
% 0.23/0.51  #    Propositional check unsatisfiable : 0
% 0.23/0.51  #    Propositional clauses             : 0
% 0.23/0.51  #    Propositional clauses after purity: 0
% 0.23/0.51  #    Propositional unsat core size     : 0
% 0.23/0.51  #    Propositional preprocessing time  : 0.000
% 0.23/0.51  #    Propositional encoding time       : 0.000
% 0.23/0.51  #    Propositional solver time         : 0.000
% 0.23/0.51  #    Success case prop preproc time    : 0.000
% 0.23/0.51  #    Success case prop encoding time   : 0.000
% 0.23/0.51  #    Success case prop solver time     : 0.000
% 0.23/0.51  # Current number of processed clauses  : 7
% 0.23/0.51  #    Positive orientable unit clauses  : 4
% 0.23/0.51  #    Positive unorientable unit clauses: 0
% 0.23/0.51  #    Negative unit clauses             : 1
% 0.23/0.51  #    Non-unit-clauses                  : 2
% 0.23/0.51  # Current number of unprocessed clauses: 0
% 0.23/0.51  # ...number of literals in the above   : 0
% 0.23/0.51  # Current number of archived formulas  : 0
% 0.23/0.51  # Current number of archived clauses   : 5
% 0.23/0.51  # Clause-clause subsumption calls (NU) : 0
% 0.23/0.51  # Rec. Clause-clause subsumption calls : 0
% 0.23/0.51  # Non-unit clause-clause subsumptions  : 0
% 0.23/0.51  # Unit Clause-clause subsumption calls : 0
% 0.23/0.51  # Rewrite failures with RHS unbound    : 0
% 0.23/0.51  # BW rewrite match attempts            : 0
% 0.23/0.51  # BW rewrite match successes           : 0
% 0.23/0.51  # Condensation attempts                : 12
% 0.23/0.51  # Condensation successes               : 0
% 0.23/0.51  # Termbank termtop insertions          : 486
% 0.23/0.51  # Search garbage collected termcells   : 122
% 0.23/0.51  
% 0.23/0.51  # -------------------------------------------------
% 0.23/0.51  # User time                : 0.004 s
% 0.23/0.51  # System time              : 0.000 s
% 0.23/0.51  # Total time               : 0.004 s
% 0.23/0.51  # Maximum resident set size: 1852 pages
% 0.23/0.51  
% 0.23/0.51  # -------------------------------------------------
% 0.23/0.51  # User time                : 0.004 s
% 0.23/0.51  # System time              : 0.004 s
% 0.23/0.51  # Total time               : 0.007 s
% 0.23/0.51  # Maximum resident set size: 1712 pages
% 0.23/0.51  % E---3.1 exiting
% 0.23/0.51  % E exiting
%------------------------------------------------------------------------------