TSTP Solution File: SEV245^5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SEV245^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n027.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 04:08:04 EDT 2024

% Result   : Theorem 0.20s 0.49s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SEV245^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 18:53:52 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.20/0.47  Running higher-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.20/0.49  # Version: 3.1.0-ho
% 0.20/0.49  # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.20/0.49  # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting sh2lt with 1200s (4) cores
% 0.20/0.49  # Starting new_ho_10_unif with 300s (1) cores
% 0.20/0.49  # Starting full_lambda_6 with 300s (1) cores
% 0.20/0.49  # Starting post_as_ho1 with 300s (1) cores
% 0.20/0.49  # Starting ehoh_best3_rw with 300s (1) cores
% 0.20/0.49  # post_as_ho1 with pid 29020 completed with status 0
% 0.20/0.49  # Result found by post_as_ho1
% 0.20/0.49  # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.20/0.49  # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting sh2lt with 1200s (4) cores
% 0.20/0.49  # Starting new_ho_10_unif with 300s (1) cores
% 0.20/0.49  # Starting full_lambda_6 with 300s (1) cores
% 0.20/0.49  # Starting post_as_ho1 with 300s (1) cores
% 0.20/0.49  # No SInE strategy applied
% 0.20/0.49  # Search class: HGUNF-FFSF22-SHHFFSBN
% 0.20/0.49  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.49  # Starting ho_unfolding_3 with 163s (1) cores
% 0.20/0.49  # ho_unfolding_3 with pid 29025 completed with status 0
% 0.20/0.49  # Result found by ho_unfolding_3
% 0.20/0.49  # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.20/0.49  # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting sh2lt with 1200s (4) cores
% 0.20/0.49  # Starting new_ho_10_unif with 300s (1) cores
% 0.20/0.49  # Starting full_lambda_6 with 300s (1) cores
% 0.20/0.49  # Starting post_as_ho1 with 300s (1) cores
% 0.20/0.49  # No SInE strategy applied
% 0.20/0.49  # Search class: HGUNF-FFSF22-SHHFFSBN
% 0.20/0.49  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.49  # Starting ho_unfolding_3 with 163s (1) cores
% 0.20/0.49  # Preprocessing time       : 0.001 s
% 0.20/0.49  # Presaturation interreduction done
% 0.20/0.49  
% 0.20/0.49  # Proof found!
% 0.20/0.49  # SZS status Theorem
% 0.20/0.49  # SZS output start CNFRefutation
% 0.20/0.49  thf(decl_22, type, epred1_0: ($i > $o) > $i > $o).
% 0.20/0.49  thf(decl_23, type, esk1_2: ($i > $o) > ($i > $o) > $i).
% 0.20/0.49  thf(decl_24, type, esk2_0: $i).
% 0.20/0.49  thf(decl_25, type, epred2_0: $i > $o).
% 0.20/0.49  thf(decl_26, type, epred3_0: $i > $o).
% 0.20/0.49  thf(decl_27, type, epred4_1: $i > $i > $o).
% 0.20/0.49  thf(decl_28, type, esk3_2: $i > ($i > $o) > $i).
% 0.20/0.49  thf(cTHM2A_TWO_pme, conjecture, ![X1:($i > $o) > $i > $o]:((![X2:$i > $o, X3:$i > $o]:((![X4:$i]:(((X2 @ X4)=>(X3 @ X4)))=>![X4:$i]:(((X1 @ X2 @ X4)=>(X1 @ X3 @ X4)))))=>![X5:$i]:((?[X6:$i > $o]:((![X4:$i]:(((X6 @ X4)=>(X1 @ X6 @ X4)))&(X6 @ X5)))=>(X1 @ (^[X4:$i]:(?[X6:$i > $o]:((![X7:$i]:(((X6 @ X7)=>(X1 @ X6 @ X7)))&(X6 @ X4))))) @ X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', cTHM2A_TWO_pme)).
% 0.20/0.49  thf(c_0_1, negated_conjecture, ~(![X1:($i > $o) > $i > $o]:((![X2:$i > $o, X3:$i > $o]:((![X4:$i]:(((X2 @ X4)=>(X3 @ X4)))=>![X4:$i]:(((X1 @ X2 @ X4)=>(X1 @ X3 @ X4)))))=>![X5:$i]:((?[X6:$i > $o]:((![X4:$i]:(((X6 @ X4)=>(X1 @ X6 @ X4)))&(X6 @ X5)))=>(X1 @ (^[Z0/* 5 */:$i]:(?[X6:$i > $o]:((![X7:$i]:((X6 @ X7=>X1 @ X6 @ X7))&X6 @ Z0)))) @ X5)))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM2A_TWO_pme])])).
% 0.20/0.49  thf(c_0_2, negated_conjecture, ![X17:$i > $o, X18:$i > $o, X20:$i, X23:$i]:(((((X17 @ (esk1_2 @ X17 @ X18))|(~(epred1_0 @ X17 @ X20)|(epred1_0 @ X18 @ X20)))&(~(X18 @ (esk1_2 @ X17 @ X18))|(~(epred1_0 @ X17 @ X20)|(epred1_0 @ X18 @ X20))))&(((~(epred2_0 @ X23)|(epred1_0 @ epred2_0 @ X23))&(epred2_0 @ esk2_0))&~(epred1_0 @ (^[Z0/* 5 */:$i]:(?[X6:$i > $o]:((![X7:$i]:((X6 @ X7=>epred1_0 @ X6 @ X7))&X6 @ Z0)))) @ esk2_0)))), inference(distribute,[status(thm)],[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])])])])])])).
% 0.20/0.49  thf(c_0_3, negated_conjecture, ![X4:$i]:(((epred1_0 @ epred2_0 @ X4)|~((epred2_0 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.20/0.49  thf(c_0_4, negated_conjecture, (epred2_0 @ esk2_0), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.20/0.49  thf(c_0_5, plain, ![X27:$i, X29:$i, X30:$i > $o]:((((~(epred4_1 @ X27 @ X29)|(epred1_0 @ (epred4_1 @ X27) @ X29)|~(epred3_0 @ X27))&((epred4_1 @ X27 @ X27)|~(epred3_0 @ X27)))&(((X30 @ (esk3_2 @ X27 @ X30))|~(X30 @ X27)|(epred3_0 @ X27))&(~(epred1_0 @ X30 @ (esk3_2 @ X27 @ X30))|~(X30 @ X27)|(epred3_0 @ X27))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[])])])])])])).
% 0.20/0.49  thf(c_0_6, negated_conjecture, ![X2:$i > $o, X3:$i > $o, X4:$i]:(((X2 @ (esk1_2 @ X2 @ X3))|(epred1_0 @ X3 @ X4)|~((epred1_0 @ X2 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.20/0.49  thf(c_0_7, negated_conjecture, (epred1_0 @ epred2_0 @ esk2_0), inference(spm,[status(thm)],[c_0_3, c_0_4])).
% 0.20/0.49  thf(c_0_8, plain, ![X2:$i > $o, X4:$i]:(((X2 @ (esk3_2 @ X4 @ X2))|(epred3_0 @ X4)|~((X2 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.20/0.49  thf(c_0_9, negated_conjecture, ![X2:$i > $o]:(((epred2_0 @ (esk1_2 @ epred2_0 @ X2))|(epred1_0 @ X2 @ esk2_0))), inference(spm,[status(thm)],[c_0_6, c_0_7])).
% 0.20/0.49  thf(c_0_10, plain, ![X2:$i > $o]:(((epred2_0 @ (esk3_2 @ (esk1_2 @ epred2_0 @ X2) @ epred2_0))|(epred3_0 @ (esk1_2 @ epred2_0 @ X2))|(epred1_0 @ X2 @ esk2_0))), inference(spm,[status(thm)],[c_0_8, c_0_9])).
% 0.20/0.49  thf(c_0_11, plain, ![X26:$i]:(((epred3_0 @ X26)<=>?[X24:$i > $o]:((![X25:$i]:(((X24 @ X25)=>(epred1_0 @ X24 @ X25)))&(X24 @ X26))))), introduced(definition)).
% 0.20/0.49  thf(c_0_12, plain, ![X2:$i > $o, X4:$i]:(((epred3_0 @ X4)|~((epred1_0 @ X2 @ (esk3_2 @ X4 @ X2)))|~((X2 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.20/0.49  thf(c_0_13, negated_conjecture, ![X2:$i > $o]:(((epred1_0 @ epred2_0 @ (esk3_2 @ (esk1_2 @ epred2_0 @ X2) @ epred2_0))|(epred3_0 @ (esk1_2 @ epred2_0 @ X2))|(epred1_0 @ X2 @ esk2_0))), inference(spm,[status(thm)],[c_0_3, c_0_10])).
% 0.20/0.49  thf(c_0_14, negated_conjecture, ~((((epred1_0 @ epred3_0 @ esk2_0))=(($true)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_11])).
% 0.20/0.49  thf(c_0_15, negated_conjecture, ![X2:$i > $o, X3:$i > $o, X4:$i]:(((epred1_0 @ X2 @ X4)|~((X2 @ (esk1_2 @ X3 @ X2)))|~((epred1_0 @ X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.20/0.49  thf(c_0_16, plain, ![X2:$i > $o]:(((epred3_0 @ (esk1_2 @ epred2_0 @ X2))|(epred1_0 @ X2 @ esk2_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_13]), c_0_9])).
% 0.20/0.49  thf(c_0_17, negated_conjecture, ~((epred1_0 @ epred3_0 @ esk2_0)), inference(cn,[status(thm)],[c_0_14])).
% 0.20/0.49  thf(c_0_18, negated_conjecture, ![X4:$i]:(((epred1_0 @ epred3_0 @ X4)|~((epred1_0 @ epred2_0 @ X4)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15, c_0_16]), c_0_17])).
% 0.20/0.49  thf(c_0_19, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_7]), c_0_17]), ['proof']).
% 0.20/0.49  # SZS output end CNFRefutation
% 0.20/0.49  # Parsed axioms                        : 1
% 0.20/0.49  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.49  # Initial clauses                      : 9
% 0.20/0.49  # Removed in clause preprocessing      : 0
% 0.20/0.49  # Initial clauses in saturation        : 9
% 0.20/0.49  # Processed clauses                    : 63
% 0.20/0.49  # ...of these trivial                  : 1
% 0.20/0.49  # ...subsumed                          : 2
% 0.20/0.49  # ...remaining for further processing  : 60
% 0.20/0.49  # Other redundant clauses eliminated   : 3
% 0.20/0.49  # Clauses deleted for lack of memory   : 0
% 0.20/0.49  # Backward-subsumed                    : 2
% 0.20/0.49  # Backward-rewritten                   : 11
% 0.20/0.49  # Generated clauses                    : 84
% 0.20/0.49  # ...of the previous two non-redundant : 70
% 0.20/0.49  # ...aggressively subsumed             : 0
% 0.20/0.49  # Contextual simplify-reflections      : 2
% 0.20/0.49  # Paramodulations                      : 63
% 0.20/0.49  # Factorizations                       : 0
% 0.20/0.49  # NegExts                              : 4
% 0.20/0.49  # Equation resolutions                 : 3
% 0.20/0.49  # Disequality decompositions           : 0
% 0.20/0.49  # Total rewrite steps                  : 25
% 0.20/0.49  # ...of those cached                   : 20
% 0.20/0.49  # Propositional unsat checks           : 0
% 0.20/0.49  #    Propositional check models        : 0
% 0.20/0.49  #    Propositional check unsatisfiable : 0
% 0.20/0.49  #    Propositional clauses             : 0
% 0.20/0.49  #    Propositional clauses after purity: 0
% 0.20/0.49  #    Propositional unsat core size     : 0
% 0.20/0.49  #    Propositional preprocessing time  : 0.000
% 0.20/0.49  #    Propositional encoding time       : 0.000
% 0.20/0.49  #    Propositional solver time         : 0.000
% 0.20/0.49  #    Success case prop preproc time    : 0.000
% 0.20/0.49  #    Success case prop encoding time   : 0.000
% 0.20/0.49  #    Success case prop solver time     : 0.000
% 0.20/0.49  # Current number of processed clauses  : 34
% 0.20/0.49  #    Positive orientable unit clauses  : 5
% 0.20/0.49  #    Positive unorientable unit clauses: 0
% 0.20/0.49  #    Negative unit clauses             : 4
% 0.20/0.49  #    Non-unit-clauses                  : 25
% 0.20/0.49  # Current number of unprocessed clauses: 21
% 0.20/0.49  # ...number of literals in the above   : 59
% 0.20/0.49  # Current number of archived formulas  : 0
% 0.20/0.49  # Current number of archived clauses   : 26
% 0.20/0.49  # Clause-clause subsumption calls (NU) : 108
% 0.20/0.49  # Rec. Clause-clause subsumption calls : 78
% 0.20/0.49  # Non-unit clause-clause subsumptions  : 4
% 0.20/0.49  # Unit Clause-clause subsumption calls : 9
% 0.20/0.49  # Rewrite failures with RHS unbound    : 0
% 0.20/0.49  # BW rewrite match attempts            : 3
% 0.20/0.49  # BW rewrite match successes           : 3
% 0.20/0.49  # Condensation attempts                : 63
% 0.20/0.49  # Condensation successes               : 0
% 0.20/0.49  # Termbank termtop insertions          : 2640
% 0.20/0.49  # Search garbage collected termcells   : 394
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.007 s
% 0.20/0.49  # System time              : 0.002 s
% 0.20/0.49  # Total time               : 0.009 s
% 0.20/0.49  # Maximum resident set size: 1876 pages
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.007 s
% 0.20/0.49  # System time              : 0.005 s
% 0.20/0.49  # Total time               : 0.012 s
% 0.20/0.49  # Maximum resident set size: 1716 pages
% 0.20/0.49  % E---3.1 exiting
% 0.20/0.49  % E exiting
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