0.00/0.05	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.08	% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.19/0.45	% Computer : n003.cluster.edu
0.19/0.45	% Model    : x86_64 x86_64
0.19/0.45	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.19/0.45	% Memory   : 8046.5625MB
0.19/0.45	% OS       : Linux 6.8.0-71-generic
0.19/0.45	% CPULimit : 1440
0.19/0.45	% WCLimit  : 180
0.19/0.45	% DateTime : Mon Jul 27 10:21:23 UTC 2026
0.19/0.46	% CPUTime  : 
0.19/0.46	Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.24/0.54	Running higher-order theorem proving
0.24/0.57	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=180 /export/starexec/sandbox2/tmp/tmp.5j97heVNeI/E---3.1_3829062.p
0.54/0.63	% Version: 3.5.1-ho
0.54/0.63	% Preprocessing class: HSMSSMSSMLLNHSN.
0.54/0.63	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.54/0.63	% Starting new_ho_10_cnf2 with 900s (5) cores
0.54/0.63	% Starting post_as_ho3 with 180s (1) cores
0.54/0.63	% Starting new_ho_12 with 180s (1) cores
0.54/0.63	% Starting new_bool_2 with 180s (1) cores
0.54/0.63	% new_ho_10_cnf2 with pid 3829075 completed with status 0
0.54/0.63	% Result found by new_ho_10_cnf2
0.54/0.63	% Preprocessing class: HSMSSMSSMLLNHSN.
0.54/0.63	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.54/0.63	% Starting new_ho_10_cnf2 with 900s (5) cores
0.54/0.63	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
0.54/0.63	% No SInE strategy applied
0.54/0.63	% Search class: HGUNM-FFMF32-SHSSMFNN
0.54/0.63	% Scheduled 7 strats onto 5 cores with 900 seconds (900 total)
0.54/0.63	% Starting SubtermCWHack with 82s (1) cores
0.54/0.63	% Starting new_ho_10_cnf2 with 91s (1) cores
0.54/0.63	% Starting sh5l with 82s (1) cores
0.54/0.63	% Starting ehoh_best_sine_rwall with 82s (1) cores
0.54/0.63	% Starting lpo1_def_fix with 82s (1) cores
0.54/0.63	% sh5l with pid 3829084 completed with status 0
0.54/0.63	% Result found by sh5l
0.54/0.63	% Preprocessing class: HSMSSMSSMLLNHSN.
0.54/0.63	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.54/0.63	% Starting new_ho_10_cnf2 with 900s (5) cores
0.54/0.63	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
0.54/0.63	% No SInE strategy applied
0.54/0.63	% Search class: HGUNM-FFMF32-SHSSMFNN
0.54/0.63	% Scheduled 7 strats onto 5 cores with 900 seconds (900 total)
0.54/0.63	% Starting SubtermCWHack with 82s (1) cores
0.54/0.63	% Starting new_ho_10_cnf2 with 91s (1) cores
0.54/0.63	% Starting sh5l with 82s (1) cores
0.54/0.63	% Preprocessing time       : 0.004 s
0.54/0.63	% Presaturation interreduction done
0.54/0.63	
0.54/0.63	% Proof found!
0.54/0.63	% SZS status Theorem
0.54/0.63	% SZS output start CNFRefutation
0.54/0.63	thf(decl_sort1, type, mu: $tType).
0.54/0.63	thf(decl_25, type, mnot: ($i > $o) > $i > $o).
0.54/0.63	thf(decl_26, type, mor: ($i > $o) > ($i > $o) > $i > $o).
0.54/0.63	thf(decl_28, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
0.54/0.63	thf(decl_32, type, mforall_ind: (mu > $i > $o) > $i > $o).
0.54/0.63	thf(decl_34, type, mexists_ind: (mu > $i > $o) > $i > $o).
0.54/0.63	thf(decl_38, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
0.54/0.63	thf(decl_39, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
0.54/0.63	thf(decl_41, type, msymmetric: ($i > $i > $o) > $o).
0.54/0.63	thf(decl_50, type, mvalid: ($i > $o) > $o).
0.54/0.63	thf(decl_54, type, a1: $i > $i > $o).
0.54/0.63	thf(decl_58, type, piotr: mu).
0.54/0.63	thf(decl_61, type, beer: mu).
0.54/0.63	thf(decl_62, type, likes: mu > mu > $i > $o).
0.54/0.63	thf(decl_64, type, possibly_likes: mu > mu > $i > $o).
0.54/0.63	thf(decl_68, type, esk2_0: $i).
0.54/0.63	thf(decl_73, type, esk7_1: $i > $i).
0.54/0.63	thf(mdia, axiom, ((mdia)=(^[X13:$i > $i > $o, X6:$i > $o]:(mnot @ (mbox @ X13 @ (mnot @ X6))))), file('/export/starexec/sandbox2/tmp/tmp.5j97heVNeI/E---3.1_3829062.p', mdia)).
0.54/0.63	thf(mnot, axiom, ((mnot)=(^[X6:$i > $o, X3:$i]:(~((X6 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.5j97heVNeI/E---3.1_3829062.p', mnot)).
0.54/0.63	thf(mbox, axiom, ((mbox)=(^[X13:$i > $i > $o, X6:$i > $o, X3:$i]:(![X14:$i]:(((~((X13 @ X3 @ X14)))|((X6 @ X14))))))), file('/export/starexec/sandbox2/tmp/tmp.5j97heVNeI/E---3.1_3829062.p', mbox)).
0.54/0.63	thf(msymmetric, axiom, ((msymmetric)=(^[X13:$i > $i > $o]:(![X15:$i, X16:$i]:((((X13 @ X15 @ X16))=>((X13 @ X16 @ X15))))))), file('/export/starexec/sandbox2/tmp/tmp.5j97heVNeI/E---3.1_3829062.p', msymmetric)).
0.54/0.63	thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.5j97heVNeI/E---3.1_3829062.p', mvalid)).
0.54/0.63	thf(mimplies, axiom, ((mimplies)=(^[X6:$i > $o, X7:$i > $o]:(mor @ (mnot @ X6) @ X7))), file('/export/starexec/sandbox2/tmp/tmp.5j97heVNeI/E---3.1_3829062.p', mimplies)).
0.54/0.63	thf(mor, axiom, ((mor)=(^[X6:$i > $o, X7:$i > $o, X3:$i]:((((X6 @ X3))|((X7 @ X3)))))), file('/export/starexec/sandbox2/tmp/tmp.5j97heVNeI/E---3.1_3829062.p', mor)).
0.54/0.63	thf(axioms_B_a1, axiom, (msymmetric @ a1), file('/export/starexec/sandbox2/tmp/tmp.5j97heVNeI/E---3.1_3829062.p', axioms_B_a1)).
0.54/0.63	thf(axiom_a3_3, axiom, (mvalid @ (mdia @ a1 @ (likes @ piotr @ beer))), file('/export/starexec/sandbox2/tmp/tmp.5j97heVNeI/E---3.1_3829062.p', axiom_a3_3)).
0.54/0.63	thf(mforall_ind, axiom, ((mforall_ind)=(^[X8:mu > $i > $o, X3:$i]:(![X1:mu]:((X8 @ X1 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.5j97heVNeI/E---3.1_3829062.p', mforall_ind)).
0.54/0.63	thf(axiom_a2_3, axiom, (mvalid @ (mbox @ a1 @ (likes @ piotr @ beer))), file('/export/starexec/sandbox2/tmp/tmp.5j97heVNeI/E---3.1_3829062.p', axiom_a2_3)).
0.54/0.63	thf(mexists_ind, axiom, ((mexists_ind)=(^[X11:mu > $i > $o]:(mnot @ (mforall_ind @ (^[X1:mu]:(mnot @ (X11 @ X1))))))), file('/export/starexec/sandbox2/tmp/tmp.5j97heVNeI/E---3.1_3829062.p', mexists_ind)).
0.54/0.63	thf(axiom_user_communication_3, axiom, (mvalid @ (mforall_ind @ (^[X1:mu]:(mforall_ind @ (^[X2:mu]:(mimplies @ (mdia @ a1 @ (likes @ X1 @ X2)) @ (possibly_likes @ X1 @ X2))))))), file('/export/starexec/sandbox2/tmp/tmp.5j97heVNeI/E---3.1_3829062.p', axiom_user_communication_3)).
0.54/0.63	thf(conj, conjecture, (mvalid @ (mexists_ind @ (^[X1:mu]:(mexists_ind @ (^[X2:mu]:(possibly_likes @ X1 @ X2)))))), file('/export/starexec/sandbox2/tmp/tmp.5j97heVNeI/E---3.1_3829062.p', conj)).
0.54/0.63	thf(c_0_14, plain, ((mdia)=(^[Z0:$i > $i > $o, Z1:$i > $o, Z2:$i]:(~((![X24:$i]:(((~((Z0 @ Z2 @ X24)))|((~((Z1 @ X24))))))))))), inference(fof_simplification,[status(thm)],[mdia])).
0.54/0.63	thf(c_0_15, plain, ((mnot)=(^[Z0:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])).
0.54/0.63	thf(c_0_16, plain, ((mbox)=(^[Z0:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X14:$i]:(((~((Z0 @ Z2 @ X14)))|((Z1 @ X14))))))), inference(fof_simplification,[status(thm)],[mbox])).
0.54/0.63	thf(c_0_17, plain, ((msymmetric)=(^[Z0:$i > $i > $o]:(![X15:$i, X16:$i]:((((Z0 @ X15 @ X16))=>((Z0 @ X16 @ X15))))))), inference(fof_simplification,[status(thm)],[msymmetric])).
0.54/0.63	thf(c_0_18, plain, ((mdia)=(^[Z0:$i > $i > $o, Z1:$i > $o, Z2:$i]:(~((![X24:$i]:(((~((Z0 @ Z2 @ X24)))|((~((Z1 @ X24))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_14, c_0_15]), c_0_16])).
0.54/0.63	thf(c_0_19, plain, ((mvalid)=(^[Z0:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])).
0.54/0.63	thf(c_0_20, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((~((Z0 @ Z2))))|((Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[mimplies])).
0.54/0.63	thf(c_0_21, plain, ((mor)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((Z0 @ Z2))|((Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[mor])).
0.54/0.63	thf(c_0_22, plain, ![X121:$i, X122:$i]:(((a1 @ X121 @ X122)=>(a1 @ X122 @ X121))), inference(apply_def,[status(thm)],[axioms_B_a1, c_0_17])).
0.54/0.63	thf(c_0_23, plain, ![X107:$i]:(~(![X106:$i]:((~(a1 @ X107 @ X106)|~(likes @ piotr @ beer @ X106))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_a3_3, c_0_18]), c_0_19])])).
0.54/0.63	thf(c_0_24, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((~((Z0 @ Z2))))|((Z1 @ Z2)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_20, c_0_15]), c_0_21])).
0.54/0.63	thf(c_0_25, plain, ((mforall_ind)=(^[Z0:mu > $i > $o, Z1:$i]:(![X1:mu]:((Z0 @ X1 @ Z1))))), inference(fof_simplification,[status(thm)],[mforall_ind])).
0.54/0.63	thf(c_0_26, plain, ![X96:$i, X95:$i]:((~(a1 @ X96 @ X95)|(likes @ piotr @ beer @ X95))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_a2_3, c_0_16]), c_0_19])])).
0.54/0.63	thf(c_0_27, plain, ![X234:$i, X235:$i]:((~(a1 @ X234 @ X235)|(a1 @ X235 @ X234))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])).
0.54/0.63	thf(c_0_28, plain, ![X219:$i]:(((a1 @ X219 @ (esk7_1 @ X219))&(likes @ piotr @ beer @ (esk7_1 @ X219)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])).
0.54/0.63	thf(c_0_29, plain, ((mexists_ind)=(^[Z0:mu > $i > $o, Z1:$i]:(~((![X22:mu]:((~((Z0 @ X22 @ Z1))))))))), inference(fof_simplification,[status(thm)],[mexists_ind])).
0.54/0.63	thf(c_0_30, plain, ![X69:$i, X68:mu, X67:mu]:((~(~(![X66:$i]:((~(a1 @ X69 @ X66)|~(likes @ X68 @ X67 @ X66)))))|(possibly_likes @ X68 @ X67 @ X69))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_user_communication_3]), c_0_24]), c_0_25]), c_0_18]), c_0_19])])).
0.54/0.63	thf(c_0_31, plain, ![X208:$i, X209:$i]:((~(a1 @ X208 @ X209)|(likes @ piotr @ beer @ X209))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_26])])).
0.54/0.63	thf(c_0_32, plain, ![X3:$i, X14:$i]:(((a1 @ X14 @ X3)|~((a1 @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_27])).
0.54/0.63	thf(c_0_33, plain, ![X3:$i]:((a1 @ X3 @ (esk7_1 @ X3))), inference(split_conjunct,[status(thm)],[c_0_28])).
0.54/0.63	thf(c_0_34, negated_conjecture, ~((mvalid @ (mexists_ind @ (^[X1:mu]:(mexists_ind @ (^[X2:mu]:(possibly_likes @ X1 @ X2))))))), inference(assume_negation,[status(cth)],[conj])).
0.54/0.63	thf(c_0_35, plain, ((mexists_ind)=(^[Z0:mu > $i > $o, Z1:$i]:(~((![X22:mu]:((~((Z0 @ X22 @ Z1))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_29, c_0_15]), c_0_25])).
0.54/0.63	thf(c_0_36, plain, ![X179:$i, X180:mu, X181:mu, X182:$i]:((~(a1 @ X179 @ X182)|~(likes @ X180 @ X181 @ X182)|(possibly_likes @ X180 @ X181 @ X179))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])])).
0.54/0.63	thf(c_0_37, plain, ![X3:$i, X14:$i]:(((likes @ piotr @ beer @ X14)|~((a1 @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_31])).
0.54/0.63	thf(c_0_38, plain, ![X3:$i]:((a1 @ (esk7_1 @ X3) @ X3)), inference(spm,[status(thm)],[c_0_32, c_0_33])).
0.54/0.63	thf(c_0_39, negated_conjecture, ~(![X57:$i]:(~(![X56:mu]:(~(~(![X55:mu]:(~(possibly_likes @ X56 @ X55 @ X57)))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_34]), c_0_35]), c_0_19])])).
0.54/0.63	thf(c_0_40, plain, ![X3:$i, X2:mu, X1:mu, X14:$i]:(((possibly_likes @ X1 @ X2 @ X3)|~((a1 @ X3 @ X14))|~((likes @ X1 @ X2 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_36])).
0.54/0.63	thf(c_0_41, plain, ![X3:$i]:((likes @ piotr @ beer @ X3)), inference(spm,[status(thm)],[c_0_37, c_0_38])).
0.54/0.63	thf(c_0_42, negated_conjecture, ![X169:mu, X170:mu]:(~(possibly_likes @ X169 @ X170 @ esk2_0)), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])])).
0.54/0.63	thf(c_0_43, plain, ![X3:$i, X14:$i]:(((possibly_likes @ piotr @ beer @ X3)|~((a1 @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_40, c_0_41])).
0.54/0.63	thf(c_0_44, negated_conjecture, ![X1:mu, X2:mu]:(~((possibly_likes @ X1 @ X2 @ esk2_0))), inference(split_conjunct,[status(thm)],[c_0_42])).
0.54/0.63	thf(c_0_45, plain, ![X3:$i]:((possibly_likes @ piotr @ beer @ X3)), inference(spm,[status(thm)],[c_0_43, c_0_33])).
0.54/0.63	thf(c_0_46, negated_conjecture, ($false), inference(spm,[status(thm)],[c_0_44, c_0_45]), ['proof']).
0.54/0.63	% SZS output end CNFRefutation
0.54/0.63	% Parsed axioms                        : 118
0.54/0.63	% Removed by relevancy pruning/SinE    : 0
0.54/0.63	% Initial clauses                      : 91
0.54/0.63	% Removed in clause preprocessing      : 45
0.54/0.63	% Initial clauses in saturation        : 46
0.54/0.63	% Processed clauses                    : 102
0.54/0.63	% ...of these trivial                  : 0
0.54/0.63	% ...subsumed                          : 5
0.54/0.63	% ...remaining for further processing  : 97
0.54/0.63	% Other redundant clauses eliminated   : 0
0.54/0.63	% Clauses deleted for lack of memory   : 0
0.54/0.63	% Backward-subsumed                    : 0
0.54/0.63	% Backward-rewritten                   : 11
0.54/0.63	% Generated clauses                    : 116
0.54/0.63	% ...of the previous two non-redundant : 107
0.54/0.63	% ...aggressively subsumed             : 0
0.54/0.63	% Contextual simplify-reflections      : 0
0.54/0.63	% Paramodulations                      : 116
0.54/0.63	% Factorizations                       : 0
0.54/0.63	% NegExts                              : 0
0.54/0.63	% Equation resolutions                 : 0
0.54/0.63	% Disequality decompositions           : 0
0.54/0.63	% Total rewrite steps                  : 19
0.54/0.63	% ...of those cached                   : 4
0.54/0.63	% Propositional unsat checks           : 0
0.54/0.63	%    Propositional check models        : 0
0.54/0.63	%    Propositional check unsatisfiable : 0
0.54/0.63	%    Propositional clauses             : 0
0.54/0.63	%    Propositional clauses after purity: 0
0.54/0.63	%    Propositional unsat core size     : 0
0.54/0.63	%    Propositional preprocessing time  : 0.000
0.54/0.63	%    Propositional encoding time       : 0.000
0.54/0.63	%    Propositional solver time         : 0.000
0.54/0.63	%    Success case prop preproc time    : 0.000
0.54/0.63	%    Success case prop encoding time   : 0.000
0.54/0.63	%    Success case prop solver time     : 0.000
0.54/0.63	% Current number of processed clauses  : 42
0.54/0.63	%    Positive orientable unit clauses  : 16
0.54/0.63	%    Positive unorientable unit clauses: 0
0.54/0.63	%    Negative unit clauses             : 1
0.54/0.63	%    Non-unit-clauses                  : 25
0.54/0.63	% Current number of unprocessed clauses: 78
0.54/0.63	% ...number of literals in the above   : 191
0.54/0.63	% Current number of archived formulas  : 0
0.54/0.63	% Current number of archived clauses   : 55
0.54/0.63	% Clause-clause subsumption calls (NU) : 202
0.54/0.63	% Rec. Clause-clause subsumption calls : 126
0.54/0.63	% Non-unit clause-clause subsumptions  : 5
0.54/0.63	% Unit Clause-clause subsumption calls : 0
0.54/0.63	% Rewrite failures with RHS unbound    : 0
0.54/0.63	% BW rewrite match attempts            : 10
0.54/0.63	% BW rewrite match successes           : 9
0.54/0.63	% Condensation attempts                : 102
0.54/0.63	% Condensation successes               : 0
0.54/0.63	% Termbank termtop insertions          : 11557
0.54/0.63	% Search garbage collected termcells   : 3237
0.54/0.63	
0.54/0.63	% -------------------------------------------------
0.54/0.63	% User time                : 0.027 s
0.54/0.63	% System time              : 0.007 s
0.54/0.63	% Total time               : 0.034 s
0.54/0.63	% Maximum resident set size: 4248 pages
0.54/0.63	
0.54/0.63	% -------------------------------------------------
0.54/0.63	% User time                : 0.075 s
0.54/0.63	% System time              : 0.028 s
0.54/0.63	% Total time               : 0.103 s
0.54/0.63	% Maximum resident set size: 4608 pages
0.54/0.63	% E exiting
0.54/0.64	EOF