0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.12 % Command : run_E %s %d THM 0.12/0.33 % Computer : n027.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 05:51:24 EDT 2024 0.12/0.33 % CPUTime : 0.19/0.47 Running higher-order theorem proving 0.19/0.48 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=180 /export/starexec/sandbox/tmp/tmp.qyWI0rV0sf/E---3.1_3732.p 0.19/0.51 # Version: 3.2.0-ho 0.19/0.51 # Preprocessing class: HSMSSMSSMLLNHSN. 0.19/0.51 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.19/0.51 # Starting new_ho_10_cnf2 with 900s (5) cores 0.19/0.51 # Starting post_as_ho3 with 180s (1) cores 0.19/0.51 # Starting new_ho_12 with 180s (1) cores 0.19/0.51 # Starting new_bool_2 with 180s (1) cores 0.19/0.51 # new_ho_10_cnf2 with pid 3810 completed with status 0 0.19/0.51 # Result found by new_ho_10_cnf2 0.19/0.51 # Preprocessing class: HSMSSMSSMLLNHSN. 0.19/0.51 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.19/0.51 # Starting new_ho_10_cnf2 with 900s (5) cores 0.19/0.51 # No SInE strategy applied 0.19/0.51 # Search class: HGHNF-FFMF21-SHSSMSBN 0.19/0.51 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 0.19/0.51 # Starting new_ho_9 with 487s (1) cores 0.19/0.51 # Starting new_ho_10_cnf2 with 91s (1) cores 0.19/0.51 # Starting pre_casc_8 with 82s (1) cores 0.19/0.51 # Starting post_as_ho2 with 82s (1) cores 0.19/0.51 # Starting post_as_ho1 with 82s (1) cores 0.19/0.51 # new_ho_10_cnf2 with pid 3817 completed with status 0 0.19/0.51 # Result found by new_ho_10_cnf2 0.19/0.51 # Preprocessing class: HSMSSMSSMLLNHSN. 0.19/0.51 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.19/0.51 # Starting new_ho_10_cnf2 with 900s (5) cores 0.19/0.51 # No SInE strategy applied 0.19/0.51 # Search class: HGHNF-FFMF21-SHSSMSBN 0.19/0.51 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 0.19/0.51 # Starting new_ho_9 with 487s (1) cores 0.19/0.51 # Starting new_ho_10_cnf2 with 91s (1) cores 0.19/0.51 # Preprocessing time : 0.002 s 0.19/0.51 # Presaturation interreduction done 0.19/0.51 0.19/0.51 # Proof found! 0.19/0.51 # SZS status Theorem 0.19/0.51 # SZS output start CNFRefutation 0.19/0.51 thf(decl_sort1, type, reg: $tType). 0.19/0.51 thf(decl_37, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 0.19/0.51 thf(decl_49, type, mvalid: ($i > $o) > $o). 0.19/0.51 thf(decl_53, type, c: reg > reg > $o). 0.19/0.51 thf(decl_55, type, p: reg > reg > $o). 0.19/0.51 thf(decl_56, type, eq: reg > reg > $o). 0.19/0.51 thf(decl_57, type, o: reg > reg > $o). 0.19/0.51 thf(decl_59, type, ec: reg > reg > $o). 0.19/0.51 thf(decl_60, type, pp: reg > reg > $o). 0.19/0.51 thf(decl_61, type, tpp: reg > reg > $o). 0.19/0.51 thf(decl_63, type, catalunya: reg). 0.19/0.51 thf(decl_65, type, spain: reg). 0.19/0.51 thf(decl_67, type, a: $i > $i > $o). 0.19/0.51 thf(decl_70, type, esk2_0: $i). 0.19/0.51 thf(decl_71, type, esk3_0: $i). 0.19/0.51 thf(decl_73, type, esk5_0: reg). 0.19/0.51 thf(decl_74, type, esk6_0: reg). 0.19/0.51 thf(decl_75, type, esk7_1: reg > reg). 0.19/0.51 thf(decl_76, type, esk8_1: reg > reg). 0.19/0.51 thf(decl_77, type, esk9_1: reg > reg). 0.19/0.51 thf(decl_78, type, esk10_1: reg > reg). 0.19/0.51 thf(o, axiom, ((o)=(^[X25:reg, X26:reg]:(?[X22:reg]:(((p @ X22 @ X25)&(p @ X22 @ X26)))))), file('/export/starexec/sandbox/tmp/tmp.qyWI0rV0sf/E---3.1_3732.p', o)). 0.19/0.51 thf(p, axiom, ((p)=(^[X20:reg, X21:reg]:(![X22:reg]:(((c @ X22 @ X20)=>(c @ X22 @ X21)))))), file('/export/starexec/sandbox/tmp/tmp.qyWI0rV0sf/E---3.1_3732.p', p)). 0.19/0.51 thf(ec, axiom, ((ec)=(^[X29:reg, X30:reg]:(((c @ X29 @ X30)&~((o @ X29 @ X30)))))), file('/export/starexec/sandbox/tmp/tmp.qyWI0rV0sf/E---3.1_3732.p', ec)). 0.19/0.51 thf(pp, axiom, ((pp)=(^[X31:reg, X32:reg]:(((p @ X31 @ X32)&~((p @ X32 @ X31)))))), file('/export/starexec/sandbox/tmp/tmp.qyWI0rV0sf/E---3.1_3732.p', pp)). 0.19/0.51 thf(tpp, axiom, ((tpp)=(^[X33:reg, X34:reg]:(((pp @ X33 @ X34)&?[X22:reg]:(((ec @ X22 @ X33)&(ec @ X22 @ X34))))))), file('/export/starexec/sandbox/tmp/tmp.qyWI0rV0sf/E---3.1_3732.p', tpp)). 0.19/0.51 thf(eq, axiom, ((eq)=(^[X23:reg, X24:reg]:(((p @ X23 @ X24)&(p @ X24 @ X23))))), file('/export/starexec/sandbox/tmp/tmp.qyWI0rV0sf/E---3.1_3732.p', eq)). 0.19/0.51 thf(mbox, axiom, ((mbox)=(^[X13:$i > $i > $o, X6:$i > $o, X3:$i]:(![X14:$i]:((~((X13 @ X3 @ X14))|(X6 @ X14)))))), file('/export/starexec/sandbox/tmp/tmp.qyWI0rV0sf/E---3.1_3732.p', mbox)). 0.19/0.51 thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.qyWI0rV0sf/E---3.1_3732.p', mvalid)). 0.19/0.51 thf(ax1, axiom, (mvalid @ (mbox @ a @ (^[X43:$i]:((tpp @ catalunya @ spain))))), file('/export/starexec/sandbox/tmp/tmp.qyWI0rV0sf/E---3.1_3732.p', ax1)). 0.19/0.51 thf(con, conjecture, (mvalid @ (mbox @ a @ (^[X40:$i]:(?[X22:reg, X41:reg]:(~((eq @ X22 @ X41))))))), file('/export/starexec/sandbox/tmp/tmp.qyWI0rV0sf/E---3.1_3732.p', con)). 0.19/0.51 thf(c_reflexive, axiom, ![X39:reg]:((c @ X39 @ X39)), file('/export/starexec/sandbox/tmp/tmp.qyWI0rV0sf/E---3.1_3732.p', c_reflexive)). 0.19/0.51 thf(c_0_11, plain, ((o)=(^[Z0/* 19 */:reg, Z1:reg]:(?[X22:reg]:(((![X54:reg]:(((c @ X54 @ X22)=>(c @ X54 @ Z0))))&(![X55:reg]:(((c @ X55 @ X22)=>(c @ X55 @ Z1))))))))), inference(fof_simplification,[status(thm)],[o])). 0.19/0.51 thf(c_0_12, plain, ((p)=(^[Z0/* 19 */:reg, Z1:reg]:(![X22:reg]:(((c @ X22 @ Z0)=>(c @ X22 @ Z1)))))), inference(fof_simplification,[status(thm)],[p])). 0.19/0.51 thf(c_0_13, plain, ((ec)=(^[Z0/* 19 */:reg, Z1:reg]:(((c @ Z0 @ Z1)&~((?[X61:reg]:(((![X62:reg]:(((c @ X62 @ X61)=>(c @ X62 @ Z0))))&(![X63:reg]:(((c @ X63 @ X61)=>(c @ X63 @ Z1)))))))))))), inference(fof_simplification,[status(thm)],[ec])). 0.19/0.51 thf(c_0_14, plain, ((o)=(^[Z0/* 19 */:reg, Z1:reg]:(?[X22:reg]:(((![X54:reg]:(((c @ X54 @ X22)=>(c @ X54 @ Z0))))&(![X55:reg]:(((c @ X55 @ X22)=>(c @ X55 @ Z1))))))))), inference(apply_def,[status(thm)],[c_0_11, c_0_12])). 0.19/0.51 thf(c_0_15, plain, ((pp)=(^[Z0/* 19 */:reg, Z1:reg]:(((![X64:reg]:(((c @ X64 @ Z0)=>(c @ X64 @ Z1))))&~((![X65:reg]:(((c @ X65 @ Z1)=>(c @ X65 @ Z0))))))))), inference(fof_simplification,[status(thm)],[pp])). 0.19/0.51 thf(c_0_16, plain, ((tpp)=(^[Z0/* 19 */:reg, Z1:reg]:(((((![X66:reg]:(((c @ X66 @ Z0)=>(c @ X66 @ Z1))))&~((![X67:reg]:(((c @ X67 @ Z1)=>(c @ X67 @ Z0)))))))&?[X22:reg]:(((((c @ X22 @ Z0)&~((?[X68:reg]:(((![X69:reg]:(((c @ X69 @ X68)=>(c @ X69 @ X22))))&(![X70:reg]:(((c @ X70 @ X68)=>(c @ X70 @ Z0))))))))))&(((c @ X22 @ Z1)&~((?[X71:reg]:(((![X72:reg]:(((c @ X72 @ X71)=>(c @ X72 @ X22))))&(![X73:reg]:(((c @ X73 @ X71)=>(c @ X73 @ Z1)))))))))))))))), inference(fof_simplification,[status(thm)],[tpp])). 0.19/0.51 thf(c_0_17, plain, ((ec)=(^[Z0/* 19 */:reg, Z1:reg]:(((c @ Z0 @ Z1)&~((?[X61:reg]:(((![X62:reg]:(((c @ X62 @ X61)=>(c @ X62 @ Z0))))&(![X63:reg]:(((c @ X63 @ X61)=>(c @ X63 @ Z1)))))))))))), inference(apply_def,[status(thm)],[c_0_13, c_0_14])). 0.19/0.51 thf(c_0_18, plain, ((pp)=(^[Z0/* 19 */:reg, Z1:reg]:(((![X64:reg]:(((c @ X64 @ Z0)=>(c @ X64 @ Z1))))&~((![X65:reg]:(((c @ X65 @ Z1)=>(c @ X65 @ Z0))))))))), inference(apply_def,[status(thm)],[c_0_15, c_0_12])). 0.19/0.51 thf(c_0_19, plain, ((eq)=(^[Z0/* 19 */:reg, Z1:reg]:(((![X52:reg]:(((c @ X52 @ Z0)=>(c @ X52 @ Z1))))&(![X53:reg]:(((c @ X53 @ Z1)=>(c @ X53 @ Z0)))))))), inference(fof_simplification,[status(thm)],[eq])). 0.19/0.51 thf(c_0_20, plain, ((mbox)=(^[Z0/* 19 */:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X14:$i]:((~((Z0 @ Z2 @ X14))|(Z1 @ X14)))))), inference(fof_simplification,[status(thm)],[mbox])). 0.19/0.51 thf(c_0_21, plain, ((mvalid)=(^[Z0/* 6 */:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 0.19/0.51 thf(c_0_22, plain, ((tpp)=(^[Z0/* 19 */:reg, Z1:reg]:(((((![X66:reg]:(((c @ X66 @ Z0)=>(c @ X66 @ Z1))))&~((![X67:reg]:(((c @ X67 @ Z1)=>(c @ X67 @ Z0)))))))&?[X22:reg]:(((((c @ X22 @ Z0)&~((?[X68:reg]:(((![X69:reg]:(((c @ X69 @ X68)=>(c @ X69 @ X22))))&(![X70:reg]:(((c @ X70 @ X68)=>(c @ X70 @ Z0))))))))))&(((c @ X22 @ Z1)&~((?[X71:reg]:(((![X72:reg]:(((c @ X72 @ X71)=>(c @ X72 @ X22))))&(![X73:reg]:(((c @ X73 @ X71)=>(c @ X73 @ Z1)))))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_16, c_0_17]), c_0_18])). 0.19/0.51 thf(c_0_23, plain, ((eq)=(^[Z0/* 19 */:reg, Z1:reg]:(((![X52:reg]:(((c @ X52 @ Z0)=>(c @ X52 @ Z1))))&(![X53:reg]:(((c @ X53 @ Z1)=>(c @ X53 @ Z0)))))))), inference(apply_def,[status(thm)],[c_0_19, c_0_12])). 0.19/0.51 thf(c_0_24, plain, ![X103:$i, X102:$i]:((~(a @ X103 @ X102)|((![X93:reg]:(((c @ X93 @ catalunya)=>(c @ X93 @ spain)))&~(![X94:reg]:(((c @ X94 @ spain)=>(c @ X94 @ catalunya)))))&?[X95:reg]:((((c @ X95 @ catalunya)&~(?[X96:reg]:((![X97:reg]:(((c @ X97 @ X96)=>(c @ X97 @ X95)))&![X98:reg]:(((c @ X98 @ X96)=>(c @ X98 @ catalunya)))))))&((c @ X95 @ spain)&~(?[X99:reg]:((![X100:reg]:(((c @ X100 @ X99)=>(c @ X100 @ X95)))&![X101:reg]:(((c @ X101 @ X99)=>(c @ X101 @ spain)))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax1]), c_0_20]), c_0_21]), c_0_22])])). 0.19/0.51 thf(c_0_25, negated_conjecture, ~(![X89:$i, X88:$i]:((~(a @ X89 @ X88)|?[X22:reg, X41:reg]:(~((![X86:reg]:(((c @ X86 @ X22)=>(c @ X86 @ X41)))&![X87:reg]:(((c @ X87 @ X41)=>(c @ X87 @ X22))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]), c_0_20]), c_0_21]), c_0_23])])). 0.19/0.51 thf(c_0_26, plain, ![X141:$i, X142:$i, X143:reg, X146:reg, X149:reg]:((((~(c @ X143 @ catalunya)|(c @ X143 @ spain)|~(a @ X141 @ X142))&(((c @ esk5_0 @ spain)|~(a @ X141 @ X142))&(~(c @ esk5_0 @ catalunya)|~(a @ X141 @ X142))))&((((c @ esk6_0 @ catalunya)|~(a @ X141 @ X142))&((((c @ (esk8_1 @ X146) @ X146)|(c @ (esk7_1 @ X146) @ X146)|~(a @ X141 @ X142))&(~(c @ (esk8_1 @ X146) @ catalunya)|(c @ (esk7_1 @ X146) @ X146)|~(a @ X141 @ X142)))&(((c @ (esk8_1 @ X146) @ X146)|~(c @ (esk7_1 @ X146) @ esk6_0)|~(a @ X141 @ X142))&(~(c @ (esk8_1 @ X146) @ catalunya)|~(c @ (esk7_1 @ X146) @ esk6_0)|~(a @ X141 @ X142)))))&(((c @ esk6_0 @ spain)|~(a @ X141 @ X142))&((((c @ (esk10_1 @ X149) @ X149)|(c @ (esk9_1 @ X149) @ X149)|~(a @ X141 @ X142))&(~(c @ (esk10_1 @ X149) @ spain)|(c @ (esk9_1 @ X149) @ X149)|~(a @ X141 @ X142)))&(((c @ (esk10_1 @ X149) @ X149)|~(c @ (esk9_1 @ X149) @ esk6_0)|~(a @ X141 @ X142))&(~(c @ (esk10_1 @ X149) @ spain)|~(c @ (esk9_1 @ X149) @ esk6_0)|~(a @ X141 @ X142)))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])])])])])). 0.19/0.51 thf(c_0_27, negated_conjecture, ![X134:reg, X135:reg, X136:reg, X137:reg]:(((a @ esk2_0 @ esk3_0)&((~(c @ X136 @ X134)|(c @ X136 @ X135))&(~(c @ X137 @ X135)|(c @ X137 @ X134))))), 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_25])])])])])). 0.19/0.51 thf(c_0_28, plain, ![X127:reg]:((c @ X127 @ X127)), inference(variable_rename,[status(thm)],[c_reflexive])). 0.19/0.51 thf(c_0_29, plain, ![X3:$i, X14:$i]:((~((c @ esk5_0 @ catalunya))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_26])). 0.19/0.51 thf(c_0_30, negated_conjecture, (a @ esk2_0 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_27])). 0.19/0.51 thf(c_0_31, negated_conjecture, ![X18:reg, X20:reg, X19:reg]:(((c @ X18 @ X20)|~((c @ X18 @ X19)))), inference(split_conjunct,[status(thm)],[c_0_27])). 0.19/0.51 thf(c_0_32, plain, ![X18:reg]:((c @ X18 @ X18)), inference(split_conjunct,[status(thm)],[c_0_28])). 0.19/0.51 thf(c_0_33, negated_conjecture, ~((c @ esk5_0 @ catalunya)), inference(spm,[status(thm)],[c_0_29, c_0_30])). 0.19/0.51 thf(c_0_34, negated_conjecture, ![X18:reg, X19:reg]:((c @ X18 @ X19)), inference(spm,[status(thm)],[c_0_31, c_0_32])). 0.19/0.51 thf(c_0_35, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_34])]), ['proof']). 0.19/0.51 # SZS output end CNFRefutation 0.19/0.51 # Parsed axioms : 98 0.19/0.51 # Removed by relevancy pruning/SinE : 0 0.19/0.51 # Initial clauses : 85 0.19/0.51 # Removed in clause preprocessing : 49 0.19/0.51 # Initial clauses in saturation : 36 0.19/0.51 # Processed clauses : 59 0.19/0.51 # ...of these trivial : 0 0.19/0.51 # ...subsumed : 7 0.19/0.51 # ...remaining for further processing : 52 0.19/0.51 # Other redundant clauses eliminated : 0 0.19/0.51 # Clauses deleted for lack of memory : 0 0.19/0.51 # Backward-subsumed : 2 0.19/0.51 # Backward-rewritten : 18 0.19/0.51 # Generated clauses : 17 0.19/0.51 # ...of the previous two non-redundant : 16 0.19/0.51 # ...aggressively subsumed : 0 0.19/0.51 # Contextual simplify-reflections : 0 0.19/0.51 # Paramodulations : 17 0.19/0.51 # Factorizations : 0 0.19/0.51 # NegExts : 0 0.19/0.51 # Equation resolutions : 0 0.19/0.51 # Disequality decompositions : 0 0.19/0.51 # Total rewrite steps : 12 0.19/0.51 # ...of those cached : 0 0.19/0.51 # Propositional unsat checks : 0 0.19/0.51 # Propositional check models : 0 0.19/0.51 # Propositional check unsatisfiable : 0 0.19/0.51 # Propositional clauses : 0 0.19/0.51 # Propositional clauses after purity: 0 0.19/0.51 # Propositional unsat core size : 0 0.19/0.51 # Propositional preprocessing time : 0.000 0.19/0.51 # Propositional encoding time : 0.000 0.19/0.51 # Propositional solver time : 0.000 0.19/0.51 # Success case prop preproc time : 0.000 0.19/0.51 # Success case prop encoding time : 0.000 0.19/0.51 # Success case prop solver time : 0.000 0.19/0.51 # Current number of processed clauses : 3 0.19/0.51 # Positive orientable unit clauses : 2 0.19/0.51 # Positive unorientable unit clauses: 0 0.19/0.51 # Negative unit clauses : 0 0.19/0.51 # Non-unit-clauses : 1 0.19/0.51 # Current number of unprocessed clauses: 22 0.19/0.51 # ...number of literals in the above : 50 0.19/0.51 # Current number of archived formulas : 0 0.19/0.51 # Current number of archived clauses : 49 0.19/0.51 # Clause-clause subsumption calls (NU) : 199 0.19/0.51 # Rec. Clause-clause subsumption calls : 175 0.19/0.51 # Non-unit clause-clause subsumptions : 7 0.19/0.51 # Unit Clause-clause subsumption calls : 8 0.19/0.51 # Rewrite failures with RHS unbound : 0 0.19/0.51 # BW rewrite match attempts : 22 0.19/0.51 # BW rewrite match successes : 22 0.19/0.51 # Condensation attempts : 59 0.19/0.51 # Condensation successes : 0 0.19/0.51 # Termbank termtop insertions : 6584 0.19/0.51 # Search garbage collected termcells : 1907 0.19/0.51 0.19/0.51 # ------------------------------------------------- 0.19/0.51 # User time : 0.008 s 0.19/0.51 # System time : 0.006 s 0.19/0.51 # Total time : 0.015 s 0.19/0.51 # Maximum resident set size: 2296 pages 0.19/0.51 0.19/0.51 # ------------------------------------------------- 0.19/0.51 # User time : 0.030 s 0.19/0.51 # System time : 0.012 s 0.19/0.51 # Total time : 0.043 s 0.19/0.51 # Maximum resident set size: 1828 pages 0.19/0.51 % E---3.1 exiting 0.19/0.51 % E exiting 0.19/0.51 EOF