TSTP Solution File: SYO325^5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYO325^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n028.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 08:45:37 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
% 0.06/0.11  % Problem    : SYO325^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.13  % Command    : run_E %s %d THM
% 0.14/0.33  % Computer : n028.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Mon May 20 09:29:53 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.20/0.47  Running higher-order theorem proving
% 0.20/0.47  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
% 0.20/0.49  # Version: 3.1.0-ho
% 0.20/0.49  # Preprocessing class: HSSSSMSSSSMNSSA.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting sh3 with 1500s (5) cores
% 0.20/0.49  # Starting lpo8_s with 300s (1) cores
% 0.20/0.49  # Starting sh2lt with 300s (1) cores
% 0.20/0.49  # Starting sh2l with 300s (1) cores
% 0.20/0.49  # sh2l with pid 11646 completed with status 0
% 0.20/0.49  # Result found by sh2l
% 0.20/0.49  # Preprocessing class: HSSSSMSSSSMNSSA.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting sh3 with 1500s (5) cores
% 0.20/0.49  # Starting lpo8_s with 300s (1) cores
% 0.20/0.49  # Starting sh2lt with 300s (1) cores
% 0.20/0.49  # Starting sh2l with 300s (1) cores
% 0.20/0.49  # SinE strategy is gf120_gu_RUU_F100_L01000
% 0.20/0.49  # Search class: HGUNF-FFSF22-SSSFFMBN
% 0.20/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.49  # Starting new_ho_10 with 181s (1) cores
% 0.20/0.49  # new_ho_10 with pid 11649 completed with status 0
% 0.20/0.49  # Result found by new_ho_10
% 0.20/0.49  # Preprocessing class: HSSSSMSSSSMNSSA.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting sh3 with 1500s (5) cores
% 0.20/0.49  # Starting lpo8_s with 300s (1) cores
% 0.20/0.49  # Starting sh2lt with 300s (1) cores
% 0.20/0.49  # Starting sh2l with 300s (1) cores
% 0.20/0.49  # SinE strategy is gf120_gu_RUU_F100_L01000
% 0.20/0.49  # Search class: HGUNF-FFSF22-SSSFFMBN
% 0.20/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.49  # Starting new_ho_10 with 181s (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_sort1, type, a: $tType).
% 0.20/0.49  thf(decl_22, type, cK: (a > $o) > a > $o).
% 0.20/0.49  thf(decl_23, type, esk1_2: (a > $o) > (a > $o) > a).
% 0.20/0.49  thf(decl_24, type, esk2_0: a).
% 0.20/0.49  thf(decl_25, type, epred1_0: a > $o).
% 0.20/0.49  thf(decl_26, type, epred2_1: a > a > $o).
% 0.20/0.49  thf(decl_27, type, esk3_2: a > (a > $o) > a).
% 0.20/0.49  thf(cTHM116_1SS, conjecture, (![X1:a > $o, X2:a > $o]:((![X3:a]:(((X1 @ X3)=>(X2 @ X3)))=>![X3:a]:(((cK @ X1 @ X3)=>(cK @ X2 @ X3)))))=>![X3:a]:(((cK @ (^[X4:a]:(?[X5:a > $o]:((![X6:a]:(((X5 @ X6)=>(cK @ X5 @ X6)))&(X5 @ X4))))) @ X3)=>(cK @ (cK @ (^[X4:a]:(?[X5:a > $o]:((![X6:a]:(((X5 @ X6)=>(cK @ X5 @ X6)))&(X5 @ X4)))))) @ X3)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cTHM116_1SS)).
% 0.20/0.49  thf(c_0_1, negated_conjecture, ~((![X1:a > $o, X2:a > $o]:((![X3:a]:(((X1 @ X3)=>(X2 @ X3)))=>![X3:a]:(((cK @ X1 @ X3)=>(cK @ X2 @ X3)))))=>![X3:a]:(((cK @ (^[Z0/* 5 */:a]:(?[X5:a > $o]:((![X6:a]:((X5 @ X6=>(cK @ X5 @ X6)))&X5 @ Z0)))) @ X3)=>(cK @ (cK @ (^[Z0/* 5 */:a]:(?[X5:a > $o]:((![X6:a]:((X5 @ X6=>(cK @ X5 @ X6)))&X5 @ Z0))))) @ X3))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cTHM116_1SS])])).
% 0.20/0.49  thf(c_0_2, negated_conjecture, ![X12:a > $o, X13:a > $o, X15:a]:(((((X12 @ (esk1_2 @ X12 @ X13))|(~(cK @ X12 @ X15)|(cK @ X13 @ X15)))&(~(X13 @ (esk1_2 @ X12 @ X13))|(~(cK @ X12 @ X15)|(cK @ X13 @ X15))))&((cK @ (^[Z0/* 5 */:a]:(?[X5:a > $o]:((![X6:a]:((X5 @ X6=>(cK @ X5 @ X6)))&X5 @ Z0)))) @ esk2_0)&~(cK @ (cK @ (^[Z0/* 5 */:a]:(?[X5:a > $o]:((![X6:a]:((X5 @ X6=>(cK @ X5 @ X6)))&X5 @ 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, plain, ![X23:a, X25:a, X26:a > $o]:((((~(epred2_1 @ X23 @ X25)|(cK @ (epred2_1 @ X23) @ X25)|~(epred1_0 @ X23))&((epred2_1 @ X23 @ X23)|~(epred1_0 @ X23)))&(((X26 @ (esk3_2 @ X23 @ X26))|~(X26 @ X23)|(epred1_0 @ X23))&(~(cK @ X26 @ (esk3_2 @ X23 @ X26))|~(X26 @ X23)|(epred1_0 @ X23))))), 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_4, negated_conjecture, ![X1:a > $o, X2:a > $o, X3:a]:(((X1 @ (esk1_2 @ X1 @ X2))|(cK @ X2 @ X3)|~((cK @ X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.20/0.49  thf(c_0_5, plain, ![X4:a, X3:a]:(((cK @ (epred2_1 @ X3) @ X4)|~((epred2_1 @ X3 @ X4))|~((epred1_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.20/0.49  thf(c_0_6, plain, ![X19:a]:(((epred1_0 @ X19)<=>?[X17:a > $o]:((![X18:a]:(((X17 @ X18)=>(cK @ X17 @ X18)))&(X17 @ X19))))), introduced(definition)).
% 0.20/0.49  thf(c_0_7, negated_conjecture, ![X1:a > $o, X2:a > $o, X3:a]:(((cK @ X1 @ X3)|~((X1 @ (esk1_2 @ X2 @ X1)))|~((cK @ X2 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_2])).
% 0.20/0.49  thf(c_0_8, plain, ![X1:a > $o, X3:a]:(((epred1_0 @ X3)|~((cK @ X1 @ (esk3_2 @ X3 @ X1)))|~((X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.20/0.49  thf(c_0_9, plain, ![X1:a > $o, X3:a]:(((X1 @ (esk3_2 @ X3 @ X1))|(epred1_0 @ X3)|~((X1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.20/0.49  thf(c_0_10, plain, ![X1:a > $o, X4:a, X3:a]:(((epred2_1 @ X3 @ (esk1_2 @ (epred2_1 @ X3) @ X1))|(cK @ X1 @ X4)|~((epred2_1 @ X3 @ X4))|~((epred1_0 @ X3)))), inference(spm,[status(thm)],[c_0_4, c_0_5])).
% 0.20/0.49  thf(c_0_11, plain, ![X3:a]:(((epred2_1 @ X3 @ X3)|~((epred1_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_3])).
% 0.20/0.49  thf(c_0_12, negated_conjecture, (((cK @ epred1_0 @ esk2_0))=(($true))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_6])).
% 0.20/0.49  thf(c_0_13, plain, ![X1:a > $o, X3:a, X4:a]:(((cK @ X1 @ X3)|~((X1 @ (esk1_2 @ (epred2_1 @ X4) @ X1)))|~((epred2_1 @ X4 @ X3))|~((epred1_0 @ X4)))), inference(spm,[status(thm)],[c_0_7, c_0_5])).
% 0.20/0.49  thf(c_0_14, plain, ![X3:a, X4:a]:(((epred1_0 @ X3)|~((epred2_1 @ X4 @ X3))|~((epred1_0 @ X4)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8, c_0_5]), c_0_9])).
% 0.20/0.49  thf(c_0_15, plain, ![X1:a > $o, X3:a]:(((epred2_1 @ X3 @ (esk1_2 @ (epred2_1 @ X3) @ X1))|(cK @ X1 @ X3)|~((epred1_0 @ X3)))), inference(spm,[status(thm)],[c_0_10, c_0_11])).
% 0.20/0.49  thf(c_0_16, negated_conjecture, (cK @ epred1_0 @ esk2_0), inference(cn,[status(thm)],[c_0_12])).
% 0.20/0.49  thf(c_0_17, plain, ![X1:a > $o, X3:a]:(((cK @ X1 @ X3)|~((X1 @ (esk1_2 @ (epred2_1 @ X3) @ X1)))|~((epred1_0 @ X3)))), inference(spm,[status(thm)],[c_0_13, c_0_11])).
% 0.20/0.49  thf(c_0_18, plain, ![X1:a > $o, X3:a]:(((epred1_0 @ (esk1_2 @ (epred2_1 @ X3) @ X1))|(cK @ X1 @ X3)|~((epred1_0 @ X3)))), inference(spm,[status(thm)],[c_0_14, c_0_15])).
% 0.20/0.49  thf(c_0_19, negated_conjecture, ~((((cK @ (cK @ epred1_0) @ esk2_0))=(($true)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_2]), c_0_6])).
% 0.20/0.49  thf(c_0_20, negated_conjecture, ![X1:a > $o]:(((cK @ X1 @ esk2_0)|~((X1 @ (esk1_2 @ epred1_0 @ X1))))), inference(spm,[status(thm)],[c_0_7, c_0_16])).
% 0.20/0.49  thf(c_0_21, plain, ![X3:a]:(((cK @ epred1_0 @ X3)|~((epred1_0 @ X3)))), inference(spm,[status(thm)],[c_0_17, c_0_18])).
% 0.20/0.49  thf(c_0_22, negated_conjecture, ~((cK @ (cK @ epred1_0) @ esk2_0)), inference(cn,[status(thm)],[c_0_19])).
% 0.20/0.49  thf(c_0_23, negated_conjecture, ~((epred1_0 @ (esk1_2 @ epred1_0 @ (cK @ epred1_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_22])).
% 0.20/0.49  thf(c_0_24, negated_conjecture, ![X1:a > $o]:(((epred1_0 @ (esk1_2 @ epred1_0 @ X1))|(cK @ X1 @ esk2_0))), inference(spm,[status(thm)],[c_0_4, c_0_16])).
% 0.20/0.49  thf(c_0_25, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_22]), ['proof']).
% 0.20/0.49  # SZS output end CNFRefutation
% 0.20/0.49  # Parsed axioms                        : 3
% 0.20/0.49  # Removed by relevancy pruning/SinE    : 2
% 0.20/0.49  # Initial clauses                      : 8
% 0.20/0.49  # Removed in clause preprocessing      : 0
% 0.20/0.49  # Initial clauses in saturation        : 8
% 0.20/0.49  # Processed clauses                    : 47
% 0.20/0.49  # ...of these trivial                  : 0
% 0.20/0.49  # ...subsumed                          : 6
% 0.20/0.49  # ...remaining for further processing  : 41
% 0.20/0.49  # Other redundant clauses eliminated   : 0
% 0.20/0.49  # Clauses deleted for lack of memory   : 0
% 0.20/0.49  # Backward-subsumed                    : 0
% 0.20/0.49  # Backward-rewritten                   : 0
% 0.20/0.49  # Generated clauses                    : 88
% 0.20/0.49  # ...of the previous two non-redundant : 77
% 0.20/0.49  # ...aggressively subsumed             : 0
% 0.20/0.49  # Contextual simplify-reflections      : 1
% 0.20/0.49  # Paramodulations                      : 87
% 0.20/0.49  # Factorizations                       : 0
% 0.20/0.49  # NegExts                              : 0
% 0.20/0.49  # Equation resolutions                 : 0
% 0.20/0.49  # Disequality decompositions           : 0
% 0.20/0.49  # Total rewrite steps                  : 5
% 0.20/0.49  # ...of those cached                   : 4
% 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  : 32
% 0.20/0.49  #    Positive orientable unit clauses  : 1
% 0.20/0.49  #    Positive unorientable unit clauses: 0
% 0.20/0.49  #    Negative unit clauses             : 2
% 0.20/0.49  #    Non-unit-clauses                  : 29
% 0.20/0.49  # Current number of unprocessed clauses: 45
% 0.20/0.49  # ...number of literals in the above   : 212
% 0.20/0.49  # Current number of archived formulas  : 0
% 0.20/0.49  # Current number of archived clauses   : 9
% 0.20/0.49  # Clause-clause subsumption calls (NU) : 264
% 0.20/0.49  # Rec. Clause-clause subsumption calls : 140
% 0.20/0.49  # Non-unit clause-clause subsumptions  : 7
% 0.20/0.49  # Unit Clause-clause subsumption calls : 0
% 0.20/0.49  # Rewrite failures with RHS unbound    : 0
% 0.20/0.49  # BW rewrite match attempts            : 0
% 0.20/0.49  # BW rewrite match successes           : 0
% 0.20/0.49  # Condensation attempts                : 47
% 0.20/0.49  # Condensation successes               : 0
% 0.20/0.49  # Termbank termtop insertions          : 3173
% 0.20/0.49  # Search garbage collected termcells   : 330
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.005 s
% 0.20/0.49  # System time              : 0.003 s
% 0.20/0.49  # Total time               : 0.008 s
% 0.20/0.49  # Maximum resident set size: 1916 pages
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.005 s
% 0.20/0.49  # System time              : 0.006 s
% 0.20/0.49  # Total time               : 0.011 s
% 0.20/0.49  # Maximum resident set size: 1724 pages
% 0.20/0.49  % E---3.1 exiting
% 0.20/0.49  % E exiting
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