0.00/0.05	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.07	% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.20/0.45	% Computer : n005.cluster.edu
0.20/0.45	% Model    : x86_64 x86_64
0.20/0.45	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.20/0.45	% Memory   : 8046.5625MB
0.20/0.45	% OS       : Linux 6.8.0-71-generic
0.20/0.45	% CPULimit : 1440
0.20/0.45	% WCLimit  : 180
0.20/0.45	% DateTime : Mon Jul 27 11:34:49 UTC 2026
0.20/0.46	% CPUTime  : 
0.20/0.46	Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.24/0.53	Running higher-order theorem proving
0.24/0.56	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.OYfp5jXNkA/E---3.1_2967154.p
0.30/0.65	% Version: 3.5.1-ho
0.30/0.65	% Preprocessing class: HSMSSMSSMLLNHSN.
0.30/0.65	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.30/0.65	% Starting new_ho_10_cnf2 with 900s (5) cores
0.30/0.65	% Starting post_as_ho3 with 180s (1) cores
0.30/0.65	% Starting new_ho_12 with 180s (1) cores
0.30/0.65	% Starting new_bool_2 with 180s (1) cores
0.30/0.65	% new_ho_10_cnf2 with pid 2967169 completed with status 0
0.30/0.65	% Result found by new_ho_10_cnf2
0.30/0.65	% Preprocessing class: HSMSSMSSMLLNHSN.
0.30/0.65	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.30/0.65	% Starting new_ho_10_cnf2 with 900s (5) cores
0.30/0.65	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
0.30/0.65	% No SInE strategy applied
0.30/0.65	% Search class: HGUNM-FFMF32-SHSSMFNN
0.30/0.65	% Scheduled 7 strats onto 5 cores with 900 seconds (900 total)
0.30/0.65	% Starting SubtermCWHack with 82s (1) cores
0.30/0.65	% Starting new_ho_10_cnf2 with 91s (1) cores
0.30/0.65	% Starting sh5l with 82s (1) cores
0.30/0.65	% Starting ehoh_best_sine_rwall with 82s (1) cores
0.30/0.65	% Starting lpo1_def_fix with 82s (1) cores
0.30/0.65	% sh5l with pid 2967178 completed with status 0
0.30/0.65	% Result found by sh5l
0.30/0.65	% Preprocessing class: HSMSSMSSMLLNHSN.
0.30/0.65	% Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
0.30/0.65	% Starting new_ho_10_cnf2 with 900s (5) cores
0.30/0.65	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
0.30/0.65	% No SInE strategy applied
0.30/0.65	% Search class: HGUNM-FFMF32-SHSSMFNN
0.30/0.65	% Scheduled 7 strats onto 5 cores with 900 seconds (900 total)
0.30/0.65	% Starting SubtermCWHack with 82s (1) cores
0.30/0.65	% Starting new_ho_10_cnf2 with 91s (1) cores
0.30/0.65	% Starting sh5l with 82s (1) cores
0.30/0.65	% Preprocessing time       : 0.003 s
0.30/0.65	% Presaturation interreduction done
0.30/0.65	
0.30/0.65	% Proof found!
0.30/0.65	% SZS status Theorem
0.30/0.65	% SZS output start CNFRefutation
0.30/0.65	thf(decl_sort1, type, mu: $tType).
0.30/0.65	thf(decl_25, type, mnot: ($i > $o) > $i > $o).
0.30/0.65	thf(decl_26, type, mor: ($i > $o) > ($i > $o) > $i > $o).
0.30/0.65	thf(decl_28, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
0.30/0.65	thf(decl_32, type, mforall_ind: (mu > $i > $o) > $i > $o).
0.30/0.65	thf(decl_38, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
0.30/0.65	thf(decl_39, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
0.30/0.65	thf(decl_41, type, msymmetric: ($i > $i > $o) > $o).
0.30/0.65	thf(decl_42, type, mserial: ($i > $i > $o) > $o).
0.30/0.65	thf(decl_50, type, mvalid: ($i > $o) > $o).
0.30/0.65	thf(decl_54, type, a1: $i > $i > $o).
0.30/0.65	thf(decl_56, type, a3: $i > $i > $o).
0.30/0.65	thf(decl_57, type, jan: mu).
0.30/0.65	thf(decl_59, type, cola: mu).
0.30/0.65	thf(decl_62, type, likes: mu > mu > $i > $o).
0.30/0.65	thf(decl_64, type, possibly_likes: mu > mu > $i > $o).
0.30/0.65	thf(decl_65, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
0.30/0.65	thf(decl_71, type, esk5_0: $i).
0.30/0.65	thf(decl_74, type, esk8_1: $i > $i).
0.30/0.65	thf(mbox, axiom, ((mbox)=(^[X13:$i > $i > $o, X6:$i > $o, X3:$i]:(![X14:$i]:(((~((X13 @ X3 @ X14)))|((X6 @ X14))))))), file('/export/starexec/sandbox2/tmp/tmp.OYfp5jXNkA/E---3.1_2967154.p', mbox)).
0.30/0.65	thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.OYfp5jXNkA/E---3.1_2967154.p', mvalid)).
0.30/0.65	thf(subrel_def, axiom, ((subrel)=(^[X18:$i > $i > $o, X19:$i > $i > $o]:(![X20:$i, X21:$i]:((((X18 @ X20 @ X21))=>((X19 @ X20 @ X21))))))), file('/export/starexec/sandbox2/tmp/tmp.OYfp5jXNkA/E---3.1_2967154.p', subrel_def)).
0.30/0.65	thf(msymmetric, axiom, ((msymmetric)=(^[X13:$i > $i > $o]:(![X15:$i, X16:$i]:((((X13 @ X15 @ X16))=>((X13 @ X16 @ X15))))))), file('/export/starexec/sandbox2/tmp/tmp.OYfp5jXNkA/E---3.1_2967154.p', msymmetric)).
0.30/0.65	thf(mserial, axiom, ((mserial)=(^[X13:$i > $i > $o]:(![X15:$i]:(?[X16:$i]:((X13 @ X15 @ X16)))))), file('/export/starexec/sandbox2/tmp/tmp.OYfp5jXNkA/E---3.1_2967154.p', mserial)).
0.30/0.65	thf(mimplies, axiom, ((mimplies)=(^[X6:$i > $o, X7:$i > $o]:(mor @ (mnot @ X6) @ X7))), file('/export/starexec/sandbox2/tmp/tmp.OYfp5jXNkA/E---3.1_2967154.p', mimplies)).
0.30/0.65	thf(mnot, axiom, ((mnot)=(^[X6:$i > $o, X3:$i]:(~((X6 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.OYfp5jXNkA/E---3.1_2967154.p', mnot)).
0.30/0.65	thf(mor, axiom, ((mor)=(^[X6:$i > $o, X7:$i > $o, X3:$i]:((((X6 @ X3))|((X7 @ X3)))))), file('/export/starexec/sandbox2/tmp/tmp.OYfp5jXNkA/E---3.1_2967154.p', mor)).
0.30/0.65	thf(mdia, axiom, ((mdia)=(^[X13:$i > $i > $o, X6:$i > $o]:(mnot @ (mbox @ X13 @ (mnot @ X6))))), file('/export/starexec/sandbox2/tmp/tmp.OYfp5jXNkA/E---3.1_2967154.p', mdia)).
0.30/0.65	thf(axiom_a3_1, axiom, (mvalid @ (mbox @ a3 @ (likes @ jan @ cola))), file('/export/starexec/sandbox2/tmp/tmp.OYfp5jXNkA/E---3.1_2967154.p', axiom_a3_1)).
0.30/0.65	thf(axiom_I_a1_a3, axiom, (subrel @ a1 @ a3), file('/export/starexec/sandbox2/tmp/tmp.OYfp5jXNkA/E---3.1_2967154.p', axiom_I_a1_a3)).
0.30/0.65	thf(axioms_B_a1, axiom, (msymmetric @ a1), file('/export/starexec/sandbox2/tmp/tmp.OYfp5jXNkA/E---3.1_2967154.p', axioms_B_a1)).
0.30/0.65	thf(axioms_D_a1, axiom, (mserial @ a1), file('/export/starexec/sandbox2/tmp/tmp.OYfp5jXNkA/E---3.1_2967154.p', axioms_D_a1)).
0.30/0.65	thf(mforall_ind, axiom, ((mforall_ind)=(^[X8:mu > $i > $o, X3:$i]:(![X1:mu]:((X8 @ X1 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.OYfp5jXNkA/E---3.1_2967154.p', mforall_ind)).
0.30/0.65	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.OYfp5jXNkA/E---3.1_2967154.p', axiom_user_communication_3)).
0.30/0.65	thf(conj, conjecture, (mvalid @ (possibly_likes @ jan @ cola)), file('/export/starexec/sandbox2/tmp/tmp.OYfp5jXNkA/E---3.1_2967154.p', conj)).
0.30/0.65	thf(c_0_16, plain, ((mbox)=(^[Z0:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X14:$i]:(((~((Z0 @ Z2 @ X14)))|((Z1 @ X14))))))), inference(fof_simplification,[status(thm)],[mbox])).
0.30/0.65	thf(c_0_17, plain, ((mvalid)=(^[Z0:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])).
0.30/0.65	thf(c_0_18, plain, ((subrel)=(^[Z0:$i > $i > $o, Z1:$i > $i > $o]:(![X20:$i, X21:$i]:((((Z0 @ X20 @ X21))=>((Z1 @ X20 @ X21))))))), inference(fof_simplification,[status(thm)],[subrel_def])).
0.30/0.65	thf(c_0_19, plain, ((msymmetric)=(^[Z0:$i > $i > $o]:(![X15:$i, X16:$i]:((((Z0 @ X15 @ X16))=>((Z0 @ X16 @ X15))))))), inference(fof_simplification,[status(thm)],[msymmetric])).
0.30/0.65	thf(c_0_20, plain, ((mserial)=(^[Z0:$i > $i > $o]:(![X15:$i]:(?[X16:$i]:((Z0 @ X15 @ X16)))))), inference(fof_simplification,[status(thm)],[mserial])).
0.30/0.65	thf(c_0_21, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((~((Z0 @ Z2))))|((Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[mimplies])).
0.30/0.65	thf(c_0_22, plain, ((mnot)=(^[Z0:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])).
0.30/0.65	thf(c_0_23, plain, ((mor)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((Z0 @ Z2))|((Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[mor])).
0.30/0.65	thf(c_0_24, plain, ((mdia)=(^[Z0:$i > $i > $o, Z1:$i > $o, Z2:$i]:(~((![X24:$i]:(((~((Z0 @ Z2 @ X24)))|((~((Z1 @ X24))))))))))), inference(fof_simplification,[status(thm)],[mdia])).
0.30/0.65	thf(c_0_25, plain, ![X48:$i, X47:$i]:((~(a3 @ X48 @ X47)|(likes @ jan @ cola @ X47))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_a3_1, c_0_16]), c_0_17])])).
0.30/0.65	thf(c_0_26, plain, ![X32:$i, X33:$i]:(((a1 @ X32 @ X33)=>(a3 @ X32 @ X33))), inference(apply_def,[status(thm)],[axiom_I_a1_a3, c_0_18])).
0.30/0.65	thf(c_0_27, plain, ![X123:$i, X124:$i]:(((a1 @ X123 @ X124)=>(a1 @ X124 @ X123))), inference(apply_def,[status(thm)],[axioms_B_a1, c_0_19])).
0.30/0.65	thf(c_0_28, plain, ![X117:$i]:(?[X118:$i]:((a1 @ X117 @ X118))), inference(apply_def,[status(thm)],[axioms_D_a1, c_0_20])).
0.30/0.65	thf(c_0_29, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:((((~((Z0 @ Z2))))|((Z1 @ Z2)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_21, c_0_22]), c_0_23])).
0.30/0.65	thf(c_0_30, plain, ((mforall_ind)=(^[Z0:mu > $i > $o, Z1:$i]:(![X1:mu]:((Z0 @ X1 @ Z1))))), inference(fof_simplification,[status(thm)],[mforall_ind])).
0.30/0.65	thf(c_0_31, plain, ((mdia)=(^[Z0:$i > $i > $o, Z1:$i > $o, Z2:$i]:(~((![X24:$i]:(((~((Z0 @ Z2 @ X24)))|((~((Z1 @ X24))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_24, c_0_22]), c_0_16])).
0.30/0.65	thf(c_0_32, plain, ![X158:$i, X159:$i]:((~(a3 @ X158 @ X159)|(likes @ jan @ cola @ X159))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_25])])).
0.30/0.65	thf(c_0_33, plain, ![X143:$i, X144:$i]:((~(a1 @ X143 @ X144)|(a3 @ X143 @ X144))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])).
0.30/0.65	thf(c_0_34, plain, ![X234:$i, X235:$i]:((~(a1 @ X234 @ X235)|(a1 @ X235 @ X234))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])).
0.30/0.65	thf(c_0_35, plain, ![X228:$i]:((a1 @ X228 @ (esk8_1 @ X228))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_28])])).
0.30/0.65	thf(c_0_36, plain, ![X111:$i, X110:mu, X109:mu]:((~(~(![X108:$i]:((~(a1 @ X111 @ X108)|~(likes @ X110 @ X109 @ X108)))))|(possibly_likes @ X110 @ X109 @ X111))), 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_29]), c_0_30]), c_0_31]), c_0_17])])).
0.30/0.65	thf(c_0_37, plain, ![X3:$i, X14:$i]:(((likes @ jan @ cola @ X14)|~((a3 @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_32])).
0.30/0.65	thf(c_0_38, plain, ![X3:$i, X14:$i]:(((a3 @ X3 @ X14)|~((a1 @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_33])).
0.30/0.65	thf(c_0_39, plain, ![X3:$i, X14:$i]:(((a1 @ X14 @ X3)|~((a1 @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_34])).
0.30/0.65	thf(c_0_40, plain, ![X3:$i]:((a1 @ X3 @ (esk8_1 @ X3))), inference(split_conjunct,[status(thm)],[c_0_35])).
0.30/0.65	thf(c_0_41, negated_conjecture, ~((mvalid @ (possibly_likes @ jan @ cola))), inference(assume_negation,[status(cth)],[conj])).
0.30/0.65	thf(c_0_42, plain, ![X219:$i, X220:mu, X221:mu, X222:$i]:((~(a1 @ X219 @ X222)|~(likes @ X220 @ X221 @ X222)|(possibly_likes @ X220 @ X221 @ X219))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])])).
0.30/0.65	thf(c_0_43, plain, ![X14:$i, X3:$i]:(((likes @ jan @ cola @ X3)|~((a1 @ X14 @ X3)))), inference(spm,[status(thm)],[c_0_37, c_0_38])).
0.30/0.65	thf(c_0_44, plain, ![X3:$i]:((a1 @ (esk8_1 @ X3) @ X3)), inference(spm,[status(thm)],[c_0_39, c_0_40])).
0.30/0.65	thf(c_0_45, negated_conjecture, ~(![X68:$i]:((possibly_likes @ jan @ cola @ X68))), inference(apply_def,[status(thm)],[c_0_41, c_0_17])).
0.30/0.65	thf(c_0_46, plain, ![X3:$i, X2:mu, X1:mu, X14:$i]:(((possibly_likes @ X1 @ X2 @ X3)|~((a1 @ X3 @ X14))|~((likes @ X1 @ X2 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_42])).
0.30/0.65	thf(c_0_47, plain, ![X3:$i]:((likes @ jan @ cola @ X3)), inference(spm,[status(thm)],[c_0_43, c_0_44])).
0.30/0.65	thf(c_0_48, negated_conjecture, ~(possibly_likes @ jan @ cola @ esk5_0), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])])).
0.30/0.65	thf(c_0_49, plain, ![X3:$i, X14:$i]:(((possibly_likes @ jan @ cola @ X3)|~((a1 @ X3 @ X14)))), inference(spm,[status(thm)],[c_0_46, c_0_47])).
0.30/0.65	thf(c_0_50, negated_conjecture, ~((possibly_likes @ jan @ cola @ esk5_0)), inference(split_conjunct,[status(thm)],[c_0_48])).
0.30/0.65	thf(c_0_51, plain, ![X3:$i]:((possibly_likes @ jan @ cola @ X3)), inference(spm,[status(thm)],[c_0_49, c_0_40])).
0.30/0.65	thf(c_0_52, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50, c_0_51])]), ['proof']).
0.30/0.65	% SZS output end CNFRefutation
0.30/0.65	% Parsed axioms                        : 118
0.30/0.65	% Removed by relevancy pruning/SinE    : 0
0.30/0.65	% Initial clauses                      : 91
0.30/0.65	% Removed in clause preprocessing      : 45
0.30/0.65	% Initial clauses in saturation        : 46
0.30/0.65	% Processed clauses                    : 112
0.30/0.65	% ...of these trivial                  : 0
0.30/0.65	% ...subsumed                          : 7
0.30/0.65	% ...remaining for further processing  : 105
0.30/0.65	% Other redundant clauses eliminated   : 0
0.30/0.65	% Clauses deleted for lack of memory   : 0
0.30/0.65	% Backward-subsumed                    : 0
0.30/0.65	% Backward-rewritten                   : 16
0.30/0.65	% Generated clauses                    : 119
0.30/0.65	% ...of the previous two non-redundant : 107
0.30/0.65	% ...aggressively subsumed             : 0
0.30/0.65	% Contextual simplify-reflections      : 0
0.30/0.65	% Paramodulations                      : 119
0.30/0.65	% Factorizations                       : 0
0.30/0.65	% NegExts                              : 0
0.30/0.65	% Equation resolutions                 : 0
0.30/0.65	% Disequality decompositions           : 0
0.30/0.65	% Total rewrite steps                  : 28
0.30/0.65	% ...of those cached                   : 8
0.30/0.65	% Propositional unsat checks           : 0
0.30/0.65	%    Propositional check models        : 0
0.30/0.65	%    Propositional check unsatisfiable : 0
0.30/0.65	%    Propositional clauses             : 0
0.30/0.65	%    Propositional clauses after purity: 0
0.30/0.65	%    Propositional unsat core size     : 0
0.30/0.65	%    Propositional preprocessing time  : 0.000
0.30/0.65	%    Propositional encoding time       : 0.000
0.30/0.65	%    Propositional solver time         : 0.000
0.30/0.65	%    Success case prop preproc time    : 0.000
0.30/0.65	%    Success case prop encoding time   : 0.000
0.30/0.65	%    Success case prop solver time     : 0.000
0.30/0.65	% Current number of processed clauses  : 45
0.30/0.65	%    Positive orientable unit clauses  : 16
0.30/0.65	%    Positive unorientable unit clauses: 0
0.30/0.65	%    Negative unit clauses             : 0
0.30/0.65	%    Non-unit-clauses                  : 29
0.30/0.65	% Current number of unprocessed clauses: 76
0.30/0.65	% ...number of literals in the above   : 181
0.30/0.65	% Current number of archived formulas  : 0
0.30/0.65	% Current number of archived clauses   : 60
0.30/0.65	% Clause-clause subsumption calls (NU) : 248
0.30/0.65	% Rec. Clause-clause subsumption calls : 138
0.30/0.65	% Non-unit clause-clause subsumptions  : 7
0.30/0.65	% Unit Clause-clause subsumption calls : 20
0.30/0.65	% Rewrite failures with RHS unbound    : 0
0.30/0.65	% BW rewrite match attempts            : 29
0.30/0.65	% BW rewrite match successes           : 14
0.30/0.65	% Condensation attempts                : 112
0.30/0.65	% Condensation successes               : 0
0.30/0.65	% Termbank termtop insertions          : 11654
0.30/0.65	% Search garbage collected termcells   : 3138
0.30/0.65	
0.30/0.65	% -------------------------------------------------
0.30/0.65	% User time                : 0.022 s
0.30/0.65	% System time              : 0.006 s
0.30/0.65	% Total time               : 0.028 s
0.30/0.65	% Maximum resident set size: 4756 pages
0.30/0.65	
0.30/0.65	% -------------------------------------------------
0.30/0.65	% User time                : 0.071 s
0.30/0.65	% System time              : 0.026 s
0.30/0.65	% Total time               : 0.097 s
0.30/0.65	% Maximum resident set size: 4864 pages
0.30/0.65	% E exiting
0.30/0.66	EOF