TSTP Solution File: SEV290^5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SEV290^5 : TPTP v8.2.0. Bugfixed v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n022.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 04:08:08 EDT 2024

% Result   : Theorem 0.17s 0.45s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SEV290^5 : TPTP v8.2.0. Bugfixed v5.2.0.
% 0.06/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n022.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Sun May 19 18:21:37 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.17/0.44  Running higher-order theorem proving
% 0.17/0.44  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
% 0.17/0.45  # Version: 3.1.0-ho
% 0.17/0.45  # Preprocessing class: HSSSSMSSSLSNHHA.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.17/0.45  # Starting sh3l with 300s (1) cores
% 0.17/0.45  # Starting lpo6_lambda_fix with 300s (1) cores
% 0.17/0.45  # Starting full_lambda_8 with 300s (1) cores
% 0.17/0.45  # sh3l with pid 1102 completed with status 0
% 0.17/0.45  # Result found by sh3l
% 0.17/0.45  # Preprocessing class: HSSSSMSSSLSNHHA.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.17/0.45  # Starting sh3l with 300s (1) cores
% 0.17/0.45  # SinE strategy is gf120_gu_RUU_F100_L01000
% 0.17/0.45  # Search class: HHUNS-FFSF00-DHHFMSBN
% 0.17/0.45  # partial match(3): HHUNF-FFSF00-SHSFMSBN
% 0.17/0.45  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45  # Starting ho_unfolding_3 with 163s (1) cores
% 0.17/0.45  # ho_unfolding_3 with pid 1106 completed with status 0
% 0.17/0.45  # Result found by ho_unfolding_3
% 0.17/0.45  # Preprocessing class: HSSSSMSSSLSNHHA.
% 0.17/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.45  # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.17/0.45  # Starting sh3l with 300s (1) cores
% 0.17/0.45  # SinE strategy is gf120_gu_RUU_F100_L01000
% 0.17/0.45  # Search class: HHUNS-FFSF00-DHHFMSBN
% 0.17/0.45  # partial match(3): HHUNF-FFSF00-SHSFMSBN
% 0.17/0.45  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.45  # Starting ho_unfolding_3 with 163s (1) cores
% 0.17/0.45  # Preprocessing time       : 0.001 s
% 0.17/0.45  # Presaturation interreduction done
% 0.17/0.45  
% 0.17/0.45  # Proof found!
% 0.17/0.45  # SZS status Theorem
% 0.17/0.45  # SZS output start CNFRefutation
% 0.17/0.45  thf(decl_22, type, c0: ($i > $o) > $o).
% 0.17/0.45  thf(decl_23, type, cSUCC: (($i > $o) > $o) > ($i > $o) > $o).
% 0.17/0.45  thf(decl_24, type, c_less__eq_: (($i > $o) > $o) > (($i > $o) > $o) > $o).
% 0.17/0.45  thf(decl_25, type, epred1_1: ((($i > $o) > $o) > $o) > ($i > $o) > $o).
% 0.17/0.45  thf(decl_26, type, epred2_1: ((($i > $o) > $o) > $o) > (($i > $o) > $o) > $o).
% 0.17/0.45  thf(c_less__eq__def, axiom, ((c_less__eq_)=(^[X5:($i > $o) > $o, X6:($i > $o) > $o]:(![X7:(($i > $o) > $o) > $o]:((((X7 @ X5)&![X8:($i > $o) > $o]:(((X7 @ X8)=>(X7 @ (cSUCC @ X8)))))=>(X7 @ X6)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', c_less__eq__def)).
% 0.17/0.45  thf(cSUCC_def, axiom, ((cSUCC)=(^[X1:($i > $o) > $o, X2:$i > $o]:(?[X3:$i]:(((X2 @ X3)&(X1 @ (^[X4:$i]:((((X4)!=(X3))&(X2 @ X4)))))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cSUCC_def)).
% 0.17/0.45  thf(cBLEDSOE1, conjecture, ?[X9:(($i > $o) > $o) > $o]:(![X10:($i > $o) > $o]:(((X9 @ X10)=>(c_less__eq_ @ X10 @ c0)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', cBLEDSOE1)).
% 0.17/0.45  thf(c_0_3, plain, ((c_less__eq_)=(^[Z0/* 19 */:($i > $o) > $o, Z1:($i > $o) > $o]:(![X7:(($i > $o) > $o) > $o]:((((X7 @ Z0)&![X8:($i > $o) > $o]:(((X7 @ X8)=>(X7 @ (^[Z2/* 5 */:$i > $o]:(?[X13:$i]:(((Z2 @ X13)&(X8 @ (^[Z3/* 8 */:$i]:((((Z3)!=(X13))&(Z2 @ Z3)))))))))))))=>(X7 @ Z1)))))), inference(fof_simplification,[status(thm)],[c_less__eq__def])).
% 0.17/0.45  thf(c_0_4, plain, ((cSUCC)=(^[Z0/* 19 */:($i > $o) > $o, Z1:$i > $o]:(?[X3:$i]:(((Z1 @ X3)&(Z0 @ (^[Z2/* 8 */:$i]:((((Z2)!=(X3))&(Z1 @ Z2)))))))))), inference(fof_simplification,[status(thm)],[cSUCC_def])).
% 0.17/0.45  thf(c_0_5, plain, ((c_less__eq_)=(^[Z0/* 19 */:($i > $o) > $o, Z1:($i > $o) > $o]:(![X7:(($i > $o) > $o) > $o]:((((X7 @ Z0)&![X8:($i > $o) > $o]:(((X7 @ X8)=>(X7 @ (^[Z2/* 5 */:$i > $o]:(?[X13:$i]:(((Z2 @ X13)&(X8 @ (^[Z3/* 8 */:$i]:((((Z3)!=(X13))&(Z2 @ Z3)))))))))))))=>(X7 @ Z1)))))), inference(apply_def,[status(thm)],[c_0_3, c_0_4])).
% 0.17/0.45  thf(c_0_6, negated_conjecture, ~(?[X9:(($i > $o) > $o) > $o]:(![X10:($i > $o) > $o]:(((X9 @ X10)=>![X14:(($i > $o) > $o) > $o]:((((X14 @ X10)&![X15:($i > $o) > $o]:(((X14 @ X15)=>(X14 @ (^[Z0/* 5 */:$i > $o]:(?[X16:$i]:((Z0 @ X16&X15 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X16)))&Z0 @ Z1)))))))))))=>(X14 @ c0))))))), inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cBLEDSOE1]), c_0_5])).
% 0.17/0.45  thf(c_0_7, negated_conjecture, ![X17:(($i > $o) > $o) > $o, X20:($i > $o) > $o]:(((X17 @ (epred1_1 @ X17))&(((epred2_1 @ X17 @ (epred1_1 @ X17))&(~(epred2_1 @ X17 @ X20)|(epred2_1 @ X17 @ (^[Z0/* 5 */:$i > $o]:(?[X16:$i]:((Z0 @ X16&X20 @ (^[Z1/* 8 */:$i]:((~(((Z1)=(X16)))&Z0 @ Z1))))))))))&~(epred2_1 @ X17 @ c0)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])).
% 0.17/0.45  thf(c_0_8, negated_conjecture, ![X7:(($i > $o) > $o) > $o]:((X7 @ (epred1_1 @ X7))), inference(split_conjunct,[status(thm)],[c_0_7])).
% 0.17/0.45  thf(c_0_9, negated_conjecture, ($false), inference(flex_resolve,[status(thm)],[c_0_8]), ['proof']).
% 0.17/0.45  # SZS output end CNFRefutation
% 0.17/0.45  # Parsed axioms                        : 6
% 0.17/0.45  # Removed by relevancy pruning/SinE    : 3
% 0.17/0.45  # Initial clauses                      : 4
% 0.17/0.45  # Removed in clause preprocessing      : 0
% 0.17/0.45  # Initial clauses in saturation        : 4
% 0.17/0.45  # Processed clauses                    : 2
% 0.17/0.45  # ...of these trivial                  : 0
% 0.17/0.45  # ...subsumed                          : 0
% 0.17/0.45  # ...remaining for further processing  : 1
% 0.17/0.45  # Other redundant clauses eliminated   : 0
% 0.17/0.45  # Clauses deleted for lack of memory   : 0
% 0.17/0.45  # Backward-subsumed                    : 0
% 0.17/0.45  # Backward-rewritten                   : 0
% 0.17/0.45  # Generated clauses                    : 0
% 0.17/0.45  # ...of the previous two non-redundant : 0
% 0.17/0.45  # ...aggressively subsumed             : 0
% 0.17/0.45  # Contextual simplify-reflections      : 0
% 0.17/0.45  # Paramodulations                      : 0
% 0.17/0.45  # Factorizations                       : 0
% 0.17/0.45  # NegExts                              : 0
% 0.17/0.45  # Equation resolutions                 : 0
% 0.17/0.45  # Disequality decompositions           : 0
% 0.17/0.45  # Total rewrite steps                  : 0
% 0.17/0.45  # ...of those cached                   : 0
% 0.17/0.45  # Propositional unsat checks           : 0
% 0.17/0.45  #    Propositional check models        : 0
% 0.17/0.45  #    Propositional check unsatisfiable : 0
% 0.17/0.45  #    Propositional clauses             : 0
% 0.17/0.45  #    Propositional clauses after purity: 0
% 0.17/0.45  #    Propositional unsat core size     : 0
% 0.17/0.45  #    Propositional preprocessing time  : 0.000
% 0.17/0.45  #    Propositional encoding time       : 0.000
% 0.17/0.45  #    Propositional solver time         : 0.000
% 0.17/0.45  #    Success case prop preproc time    : 0.000
% 0.17/0.45  #    Success case prop encoding time   : 0.000
% 0.17/0.45  #    Success case prop solver time     : 0.000
% 0.17/0.45  # Current number of processed clauses  : 1
% 0.17/0.45  #    Positive orientable unit clauses  : 0
% 0.17/0.45  #    Positive unorientable unit clauses: 0
% 0.17/0.45  #    Negative unit clauses             : 1
% 0.17/0.45  #    Non-unit-clauses                  : 0
% 0.17/0.45  # Current number of unprocessed clauses: 2
% 0.17/0.45  # ...number of literals in the above   : 3
% 0.17/0.45  # Current number of archived formulas  : 0
% 0.17/0.45  # Current number of archived clauses   : 0
% 0.17/0.45  # Clause-clause subsumption calls (NU) : 0
% 0.17/0.45  # Rec. Clause-clause subsumption calls : 0
% 0.17/0.45  # Non-unit clause-clause subsumptions  : 0
% 0.17/0.45  # Unit Clause-clause subsumption calls : 0
% 0.17/0.45  # Rewrite failures with RHS unbound    : 0
% 0.17/0.45  # BW rewrite match attempts            : 0
% 0.17/0.45  # BW rewrite match successes           : 0
% 0.17/0.45  # Condensation attempts                : 2
% 0.17/0.45  # Condensation successes               : 0
% 0.17/0.45  # Termbank termtop insertions          : 480
% 0.17/0.45  # Search garbage collected termcells   : 168
% 0.17/0.45  
% 0.17/0.45  # -------------------------------------------------
% 0.17/0.45  # User time                : 0.002 s
% 0.17/0.45  # System time              : 0.002 s
% 0.17/0.45  # Total time               : 0.004 s
% 0.17/0.45  # Maximum resident set size: 1764 pages
% 0.17/0.45  
% 0.17/0.45  # -------------------------------------------------
% 0.17/0.45  # User time                : 0.003 s
% 0.17/0.45  # System time              : 0.004 s
% 0.17/0.45  # Total time               : 0.006 s
% 0.17/0.45  # Maximum resident set size: 1732 pages
% 0.17/0.45  % E---3.1 exiting
% 0.17/0.45  % E exiting
%------------------------------------------------------------------------------