TSTP Solution File: SEV231^5 by E---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.2.0
% Problem  : SEV231^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n023.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 : Mon Jun 24 15:54:02 EDT 2024

% Result   : Theorem 0.16s 0.44s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SEV231^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n023.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri Jun 21 18:28:09 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.16/0.43  Running higher-order theorem proving
% 0.16/0.43  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/tmp/tmp.hZoV4DNe5t/E---3.1_21482.p
% 0.16/0.44  # Version: 3.2.0-ho
% 0.16/0.44  # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.16/0.44  # Starting post_as_ho10 with 300s (1) cores
% 0.16/0.44  # Starting new_bool_9 with 300s (1) cores
% 0.16/0.44  # Starting sh5l with 300s (1) cores
% 0.16/0.44  # ehoh_best_nonlift_nonlambdatoforall with pid 21560 completed with status 0
% 0.16/0.44  # Result found by ehoh_best_nonlift_nonlambdatoforall
% 0.16/0.44  # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.16/0.44  # No SInE strategy applied
% 0.16/0.44  # Search class: HUUPF-FFSF00-DSSFFFNN
% 0.16/0.44  # partial match(1): HUUPF-FFSF00-SSSFFFNN
% 0.16/0.44  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.44  # Starting new_ho_10 with 811s (1) cores
% 0.16/0.44  # Starting ehoh_best_nonlift_nonlambdatoforall with 151s (1) cores
% 0.16/0.44  # Starting new_bool_1 with 136s (1) cores
% 0.16/0.44  # Starting new_bool_2 with 136s (1) cores
% 0.16/0.44  # Starting new_bool_9 with 136s (1) cores
% 0.16/0.44  # ehoh_best_nonlift_nonlambdatoforall with pid 21565 completed with status 0
% 0.16/0.44  # Result found by ehoh_best_nonlift_nonlambdatoforall
% 0.16/0.44  # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.16/0.44  # No SInE strategy applied
% 0.16/0.44  # Search class: HUUPF-FFSF00-DSSFFFNN
% 0.16/0.44  # partial match(1): HUUPF-FFSF00-SSSFFFNN
% 0.16/0.44  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.44  # Starting new_ho_10 with 811s (1) cores
% 0.16/0.44  # Starting ehoh_best_nonlift_nonlambdatoforall with 151s (1) cores
% 0.16/0.44  # Preprocessing time       : 0.001 s
% 0.16/0.44  # Presaturation interreduction done
% 0.16/0.44  
% 0.16/0.44  # Proof found!
% 0.16/0.44  # SZS status Theorem
% 0.16/0.44  # SZS output start CNFRefutation
% 0.16/0.44  thf(decl_sort1, type, a: $tType).
% 0.16/0.44  thf(decl_22, type, y: a > $o).
% 0.16/0.44  thf(decl_23, type, x: a > $o).
% 0.16/0.44  thf(decl_24, type, esk1_0: a).
% 0.16/0.44  thf(decl_25, type, epred1_0: a > $o).
% 0.16/0.44  thf(cX5201_pme, conjecture, ((^[X1:a]:(((x @ X1)&(y @ X1))))=(^[X1:a]:(![X2:a > $o]:(((((X2)=(x))|((X2)=(y)))=>(X2 @ X1)))))), file('/export/starexec/sandbox2/tmp/tmp.hZoV4DNe5t/E---3.1_21482.p', cX5201_pme)).
% 0.16/0.44  thf(c_0_1, negated_conjecture, ((^[Z0/* 8 */:a]:(((x @ Z0)&(y @ Z0))))!=(^[Z0/* 6 */:a]:(![X2:a > $o]:(((((X2)=(x))|((X2)=(y)))=>X2 @ Z0))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cX5201_pme])])])).
% 0.16/0.44  thf(c_0_2, negated_conjecture, ((^[Z0/* 8 */:a]:(((x @ Z0)&(y @ Z0))))!=(^[Z0/* 6 */:a]:(![X2:a > $o]:(((((X2)=(x))|((X2)=(y)))=>X2 @ Z0))))), inference(fof_nnf,[status(thm)],[c_0_1])).
% 0.16/0.44  thf(c_0_3, negated_conjecture, ((^[Z0/* 8 */:a]:(((x @ Z0)&(y @ Z0))))!=(^[Z0/* 6 */:a]:(![X15:a > $o]:(((((X15)=(x))|((X15)=(y)))=>(X15 @ Z0)))))), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.16/0.44  thf(c_0_4, negated_conjecture, (![X16:a > $o]:(((((X16)=(x))|((X16)=(y)))=>(X16 @ esk1_0)))<~>((x @ esk1_0)&(y @ esk1_0))), inference(neg_ext,[status(thm)],[c_0_3])).
% 0.16/0.44  thf(c_0_5, negated_conjecture, (x @ esk1_0), inference(er,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_4])])).
% 0.16/0.44  thf(c_0_6, negated_conjecture, (y @ esk1_0), inference(er,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_4])])).
% 0.16/0.44  thf(c_0_7, negated_conjecture, (((y)=(epred1_0))|((x)=(epred1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_4]), c_0_5]), c_0_6])])).
% 0.16/0.44  thf(c_0_8, negated_conjecture, ![X6:a]:((((y @ X6)<=>(epred1_0 @ X6))|((x)=(epred1_0)))), inference(arg_cong,[status(thm)],[c_0_7])).
% 0.16/0.44  thf(c_0_9, negated_conjecture, ![X1:a]:((((x)=(epred1_0))|(epred1_0 @ X1)|~((y @ X1)))), inference(dynamic_cnf,[status(thm)],[c_0_8])).
% 0.16/0.44  thf(c_0_10, negated_conjecture, ~((epred1_0 @ esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_4]), c_0_5]), c_0_6])])).
% 0.16/0.44  thf(c_0_11, negated_conjecture, ((x)=(epred1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_6]), c_0_10])).
% 0.16/0.44  thf(c_0_12, negated_conjecture, ![X12:a]:(((x @ X12)<=>(epred1_0 @ X12))), inference(arg_cong,[status(thm)],[c_0_11])).
% 0.16/0.44  thf(c_0_13, negated_conjecture, ![X1:a]:(((epred1_0 @ X1)|~((x @ X1)))), inference(dynamic_cnf,[status(thm)],[c_0_12])).
% 0.16/0.44  thf(c_0_14, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13, c_0_5]), c_0_10]), ['proof']).
% 0.16/0.44  # SZS output end CNFRefutation
% 0.16/0.44  # Parsed axioms                        : 4
% 0.16/0.44  # Removed by relevancy pruning/SinE    : 0
% 0.16/0.44  # Initial clauses                      : 4
% 0.16/0.44  # Removed in clause preprocessing      : 3
% 0.16/0.44  # Initial clauses in saturation        : 1
% 0.16/0.44  # Processed clauses                    : 19
% 0.16/0.44  # ...of these trivial                  : 2
% 0.16/0.44  # ...subsumed                          : 1
% 0.16/0.44  # ...remaining for further processing  : 16
% 0.16/0.44  # Other redundant clauses eliminated   : 4
% 0.16/0.44  # Clauses deleted for lack of memory   : 0
% 0.16/0.44  # Backward-subsumed                    : 2
% 0.16/0.44  # Backward-rewritten                   : 2
% 0.16/0.44  # Generated clauses                    : 27
% 0.16/0.44  # ...of the previous two non-redundant : 21
% 0.16/0.44  # ...aggressively subsumed             : 0
% 0.16/0.44  # Contextual simplify-reflections      : 0
% 0.16/0.44  # Paramodulations                      : 3
% 0.16/0.44  # Factorizations                       : 0
% 0.16/0.44  # NegExts                              : 1
% 0.16/0.44  # Equation resolutions                 : 4
% 0.16/0.44  # Disequality decompositions           : 0
% 0.16/0.44  # Total rewrite steps                  : 10
% 0.16/0.44  # ...of those cached                   : 7
% 0.16/0.44  # Propositional unsat checks           : 0
% 0.16/0.44  #    Propositional check models        : 0
% 0.16/0.44  #    Propositional check unsatisfiable : 0
% 0.16/0.44  #    Propositional clauses             : 0
% 0.16/0.44  #    Propositional clauses after purity: 0
% 0.16/0.44  #    Propositional unsat core size     : 0
% 0.16/0.44  #    Propositional preprocessing time  : 0.000
% 0.16/0.44  #    Propositional encoding time       : 0.000
% 0.16/0.44  #    Propositional solver time         : 0.000
% 0.16/0.44  #    Success case prop preproc time    : 0.000
% 0.16/0.44  #    Success case prop encoding time   : 0.000
% 0.16/0.44  #    Success case prop solver time     : 0.000
% 0.16/0.44  # Current number of processed clauses  : 7
% 0.16/0.44  #    Positive orientable unit clauses  : 3
% 0.16/0.44  #    Positive unorientable unit clauses: 0
% 0.16/0.44  #    Negative unit clauses             : 2
% 0.16/0.44  #    Non-unit-clauses                  : 2
% 0.16/0.44  # Current number of unprocessed clauses: 4
% 0.16/0.44  # ...number of literals in the above   : 12
% 0.16/0.44  # Current number of archived formulas  : 0
% 0.16/0.44  # Current number of archived clauses   : 9
% 0.16/0.44  # Clause-clause subsumption calls (NU) : 6
% 0.16/0.44  # Rec. Clause-clause subsumption calls : 4
% 0.16/0.44  # Non-unit clause-clause subsumptions  : 1
% 0.16/0.44  # Unit Clause-clause subsumption calls : 2
% 0.16/0.44  # Rewrite failures with RHS unbound    : 0
% 0.16/0.44  # BW rewrite match attempts            : 1
% 0.16/0.44  # BW rewrite match successes           : 1
% 0.16/0.44  # Condensation attempts                : 0
% 0.16/0.44  # Condensation successes               : 0
% 0.16/0.44  # Termbank termtop insertions          : 1302
% 0.16/0.44  # Search garbage collected termcells   : 13
% 0.16/0.44  
% 0.16/0.44  # -------------------------------------------------
% 0.16/0.44  # User time                : 0.004 s
% 0.16/0.44  # System time              : 0.000 s
% 0.16/0.44  # Total time               : 0.004 s
% 0.16/0.44  # Maximum resident set size: 1720 pages
% 0.16/0.44  
% 0.16/0.44  # -------------------------------------------------
% 0.16/0.44  # User time                : 0.012 s
% 0.16/0.44  # System time              : 0.006 s
% 0.16/0.44  # Total time               : 0.018 s
% 0.16/0.44  # Maximum resident set size: 1712 pages
% 0.16/0.44  % E---3.1 exiting
% 0.16/0.44  % E exiting
%------------------------------------------------------------------------------