0.00/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.09 % Command : run_E %s %d THM 0.09/0.28 % Computer : n032.cluster.edu 0.09/0.28 % Model : x86_64 x86_64 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.28 % Memory : 8042.1875MB 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.28 % CPULimit : 1440 0.09/0.28 % WCLimit : 180 0.09/0.28 % DateTime : Thu Jul 4 09:25:53 EDT 2024 0.09/0.28 % CPUTime : 0.14/0.38 Running higher-order theorem proving 0.14/0.42 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.EvoT51Vtoj/E---3.1_13940.p 0.14/0.49 # Version: 3.2.0-ho 0.14/0.49 # Preprocessing class: HSLMSMSMLLLCHSA. 0.14/0.49 # Scheduled 5 strats onto 8 cores with 180 seconds (1440 total) 0.14/0.49 # Starting pre_casc_4 with 720s (4) cores 0.14/0.49 # Starting full_lambda_6 with 180s (1) cores 0.14/0.49 # Starting sh10 with 180s (1) cores 0.14/0.49 # Starting post_as_ho9 with 180s (1) cores 0.14/0.49 # Starting post_as_ho8 with 180s (1) cores 0.14/0.49 # post_as_ho8 with pid 14077 completed with status 0 0.14/0.49 # Result found by post_as_ho8 0.14/0.49 # Preprocessing class: HSLMSMSMLLLCHSA. 0.14/0.49 # Scheduled 5 strats onto 8 cores with 180 seconds (1440 total) 0.14/0.49 # Starting pre_casc_4 with 720s (4) cores 0.14/0.49 # Starting full_lambda_6 with 180s (1) cores 0.14/0.49 # Starting sh10 with 180s (1) cores 0.14/0.49 # Starting post_as_ho9 with 180s (1) cores 0.14/0.49 # Starting post_as_ho8 with 180s (1) cores 0.14/0.49 # SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true) 0.14/0.49 # Search class: HGHSM-FSLM31-MHSMMFBN 0.14/0.49 # partial match(1): HGHSM-FSLM31-MHSMMSBN 0.14/0.49 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.14/0.49 # Starting new_ho_10_cnf2 with 94s (1) cores 0.14/0.49 # new_ho_10_cnf2 with pid 14103 completed with status 0 0.14/0.49 # Result found by new_ho_10_cnf2 0.14/0.49 # Preprocessing class: HSLMSMSMLLLCHSA. 0.14/0.49 # Scheduled 5 strats onto 8 cores with 180 seconds (1440 total) 0.14/0.49 # Starting pre_casc_4 with 720s (4) cores 0.14/0.49 # Starting full_lambda_6 with 180s (1) cores 0.14/0.49 # Starting sh10 with 180s (1) cores 0.14/0.49 # Starting post_as_ho9 with 180s (1) cores 0.14/0.49 # Starting post_as_ho8 with 180s (1) cores 0.14/0.49 # SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true) 0.14/0.49 # Search class: HGHSM-FSLM31-MHSMMFBN 0.14/0.49 # partial match(1): HGHSM-FSLM31-MHSMMSBN 0.14/0.49 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.14/0.49 # Starting new_ho_10_cnf2 with 94s (1) cores 0.14/0.49 # Preprocessing time : 0.003 s 0.14/0.49 # Presaturation interreduction done 0.14/0.49 0.14/0.49 # Proof found! 0.14/0.49 # SZS status Theorem 0.14/0.49 # SZS output start CNFRefutation 0.14/0.49 thf(decl_22, type, is_of: $i > ($i > $o) > $o). 0.14/0.49 thf(decl_23, type, all_of: ($i > $o) > ($i > $o) > $o). 0.14/0.49 thf(decl_25, type, in: $i > $i > $o). 0.14/0.49 thf(decl_77, type, e_is: $i > $i > $i > $o). 0.14/0.49 thf(decl_124, type, n_is: $i > $i > $o). 0.14/0.49 thf(decl_162, type, n_ts: $i > $i > $i). 0.14/0.49 thf(decl_189, type, frac: $i). 0.14/0.49 thf(decl_191, type, num: $i > $i). 0.14/0.49 thf(decl_192, type, den: $i > $i). 0.14/0.49 thf(decl_193, type, n_eq: $i > $i > $o). 0.14/0.49 thf(decl_198, type, n_pf: $i > $i > $i). 0.14/0.49 thf(decl_199, type, esk1_0: $i). 0.14/0.49 thf(decl_200, type, esk2_0: $i). 0.14/0.49 thf(decl_201, type, esk3_0: $i). 0.14/0.49 thf(def_e_is, axiom, ((e_is)=(^[X1:$i, X60:$i, X61:$i]:(((X60)=(X61))))), file('/export/starexec/sandbox/tmp/tmp.EvoT51Vtoj/E---3.1_13940.p', def_e_is)). 0.14/0.49 thf(def_all_of, axiom, ((all_of)=(^[X3:$i > $o, X2:$i > $o]:(![X4:$i]:(((is_of @ X4 @ X3)=>(X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.EvoT51Vtoj/E---3.1_13940.p', def_all_of)). 0.14/0.49 thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox/tmp/tmp.EvoT51Vtoj/E---3.1_13940.p', def_is_of)). 0.14/0.49 thf(def_n_eq, axiom, ((n_eq)=(^[X1:$i, X218:$i]:((n_is @ (n_ts @ (num @ X1) @ (den @ X218)) @ (n_ts @ (num @ X218) @ (den @ X1)))))), file('/export/starexec/sandbox/tmp/tmp.EvoT51Vtoj/E---3.1_13940.p', def_n_eq)). 0.14/0.49 thf(def_n_is, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox/tmp/tmp.EvoT51Vtoj/E---3.1_13940.p', def_n_is)). 0.14/0.49 thf(satz62b, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X472:$i]:((in @ X472 @ frac))) @ (^[X473:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ frac))) @ (^[X4:$i]:(((n_eq @ X1 @ X473)=>(n_eq @ (n_pf @ X1 @ X4) @ (n_pf @ X473 @ X4)))))))))))), file('/export/starexec/sandbox/tmp/tmp.EvoT51Vtoj/E---3.1_13940.p', satz62b)). 0.14/0.49 thf(satz56, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X282:$i]:((in @ X282 @ frac))) @ (^[X283:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ frac))) @ (^[X4:$i]:((all_of @ (^[X10:$i]:((in @ X10 @ frac))) @ (^[X10:$i]:(((n_eq @ X1 @ X283)=>((n_eq @ (n_pf @ X1 @ X4) @ (n_pf @ X283 @ X10))<=(n_eq @ X4 @ X10))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.EvoT51Vtoj/E---3.1_13940.p', satz56)). 0.14/0.49 thf(c_0_7, plain, ((e_is)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:(((Z1)=(Z2))))), inference(fof_simplification,[status(thm)],[def_e_is])). 0.14/0.49 thf(c_0_8, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])). 0.14/0.49 thf(c_0_9, plain, ((is_of)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])). 0.14/0.49 thf(c_0_10, plain, ((n_eq)=(^[Z0/* 19 */:$i, Z1:$i]:((((n_ts @ (num @ Z0) @ (den @ Z1))=(n_ts @ (num @ Z1) @ (den @ Z0))))))), inference(fof_simplification,[status(thm)],[def_n_eq])). 0.14/0.49 thf(c_0_11, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_n_is, c_0_7])). 0.14/0.49 thf(c_0_12, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_8, c_0_9])). 0.14/0.49 thf(c_0_13, plain, ((n_eq)=(^[Z0/* 19 */:$i, Z1:$i]:((((n_ts @ (num @ Z0) @ (den @ Z1))=(n_ts @ (num @ Z1) @ (den @ Z0))))))), inference(apply_def,[status(thm)],[c_0_10, c_0_11])). 0.14/0.49 thf(c_0_14, negated_conjecture, ~(![X568:$i]:(((in @ X568 @ frac)=>![X567:$i]:(((in @ X567 @ frac)=>![X566:$i]:(((in @ X566 @ frac)=>(((n_ts @ (num @ X568) @ (den @ X567))=(n_ts @ (num @ X567) @ (den @ X568)))=>((n_ts @ (num @ (n_pf @ X568 @ X566)) @ (den @ (n_pf @ X567 @ X566)))=(n_ts @ (num @ (n_pf @ X567 @ X566)) @ (den @ (n_pf @ X568 @ X566)))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz62b])]), c_0_12]), c_0_13])). 0.14/0.49 thf(c_0_15, plain, ![X578:$i]:(((in @ X578 @ frac)=>![X577:$i]:(((in @ X577 @ frac)=>![X576:$i]:(((in @ X576 @ frac)=>![X575:$i]:(((in @ X575 @ frac)=>(((n_ts @ (num @ X578) @ (den @ X577))=(n_ts @ (num @ X577) @ (den @ X578)))=>(((n_ts @ (num @ X576) @ (den @ X575))=(n_ts @ (num @ X575) @ (den @ X576)))=>((n_ts @ (num @ (n_pf @ X578 @ X576)) @ (den @ (n_pf @ X577 @ X575)))=(n_ts @ (num @ (n_pf @ X577 @ X575)) @ (den @ (n_pf @ X578 @ X576)))))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz56]), c_0_12]), c_0_13])])). 0.14/0.49 thf(c_0_16, negated_conjecture, ((in @ esk1_0 @ frac)&((in @ esk2_0 @ frac)&((in @ esk3_0 @ frac)&(((n_ts @ (num @ esk1_0) @ (den @ esk2_0))=(n_ts @ (num @ esk2_0) @ (den @ esk1_0)))&((n_ts @ (num @ (n_pf @ esk1_0 @ esk3_0)) @ (den @ (n_pf @ esk2_0 @ esk3_0)))!=(n_ts @ (num @ (n_pf @ esk2_0 @ esk3_0)) @ (den @ (n_pf @ esk1_0 @ esk3_0)))))))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])). 0.14/0.49 thf(c_0_17, plain, ![X830:$i, X831:$i, X832:$i, X833:$i]:((~(in @ X830 @ frac)|(~(in @ X831 @ frac)|(~(in @ X832 @ frac)|(~(in @ X833 @ frac)|(((n_ts @ (num @ X830) @ (den @ X831))!=(n_ts @ (num @ X831) @ (den @ X830)))|(((n_ts @ (num @ X832) @ (den @ X833))!=(n_ts @ (num @ X833) @ (den @ X832)))|((n_ts @ (num @ (n_pf @ X830 @ X832)) @ (den @ (n_pf @ X831 @ X833)))=(n_ts @ (num @ (n_pf @ X831 @ X833)) @ (den @ (n_pf @ X830 @ X832))))))))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])). 0.14/0.49 thf(c_0_18, negated_conjecture, ((n_ts @ (num @ (n_pf @ esk1_0 @ esk3_0)) @ (den @ (n_pf @ esk2_0 @ esk3_0)))!=(n_ts @ (num @ (n_pf @ esk2_0 @ esk3_0)) @ (den @ (n_pf @ esk1_0 @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_16])). 0.14/0.49 thf(c_0_19, plain, ![X1:$i, X4:$i, X6:$i, X5:$i]:((((n_ts @ (num @ (n_pf @ X1 @ X5)) @ (den @ (n_pf @ X4 @ X6)))=(n_ts @ (num @ (n_pf @ X4 @ X6)) @ (den @ (n_pf @ X1 @ X5))))|~((in @ X1 @ frac))|~((in @ X4 @ frac))|~((in @ X5 @ frac))|~((in @ X6 @ frac))|((n_ts @ (num @ X1) @ (den @ X4))!=(n_ts @ (num @ X4) @ (den @ X1)))|((n_ts @ (num @ X5) @ (den @ X6))!=(n_ts @ (num @ X6) @ (den @ X5))))), inference(split_conjunct,[status(thm)],[c_0_17])). 0.14/0.49 thf(c_0_20, negated_conjecture, ((n_ts @ (num @ esk1_0) @ (den @ esk2_0))=(n_ts @ (num @ esk2_0) @ (den @ esk1_0))), inference(split_conjunct,[status(thm)],[c_0_16])). 0.14/0.49 thf(c_0_21, negated_conjecture, (in @ esk3_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_16])). 0.14/0.49 thf(c_0_22, negated_conjecture, (in @ esk2_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_16])). 0.14/0.49 thf(c_0_23, negated_conjecture, (in @ esk1_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_16])). 0.14/0.49 thf(c_0_24, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18, c_0_19]), c_0_20]), c_0_21]), c_0_22]), c_0_23])]), ['proof']). 0.14/0.49 # SZS output end CNFRefutation 0.14/0.49 # Parsed axioms : 583 0.14/0.49 # Removed by relevancy pruning/SinE : 446 0.14/0.49 # Initial clauses : 156 0.14/0.49 # Removed in clause preprocessing : 12 0.14/0.49 # Initial clauses in saturation : 144 0.14/0.49 # Processed clauses : 321 0.14/0.49 # ...of these trivial : 5 0.14/0.49 # ...subsumed : 50 0.14/0.49 # ...remaining for further processing : 266 0.14/0.49 # Other redundant clauses eliminated : 13 0.14/0.49 # Clauses deleted for lack of memory : 0 0.14/0.49 # Backward-subsumed : 0 0.14/0.49 # Backward-rewritten : 6 0.14/0.49 # Generated clauses : 793 0.14/0.49 # ...of the previous two non-redundant : 732 0.14/0.49 # ...aggressively subsumed : 0 0.14/0.49 # Contextual simplify-reflections : 0 0.14/0.49 # Paramodulations : 756 0.14/0.49 # Factorizations : 0 0.14/0.49 # NegExts : 0 0.14/0.49 # Equation resolutions : 19 0.14/0.49 # Disequality decompositions : 0 0.14/0.49 # Total rewrite steps : 368 0.14/0.49 # ...of those cached : 286 0.14/0.49 # Propositional unsat checks : 0 0.14/0.49 # Propositional check models : 0 0.14/0.49 # Propositional check unsatisfiable : 0 0.14/0.49 # Propositional clauses : 0 0.14/0.49 # Propositional clauses after purity: 0 0.14/0.49 # Propositional unsat core size : 0 0.14/0.49 # Propositional preprocessing time : 0.000 0.14/0.49 # Propositional encoding time : 0.000 0.14/0.49 # Propositional solver time : 0.000 0.14/0.49 # Success case prop preproc time : 0.000 0.14/0.49 # Success case prop encoding time : 0.000 0.14/0.49 # Success case prop solver time : 0.000 0.14/0.49 # Current number of processed clauses : 140 0.14/0.49 # Positive orientable unit clauses : 58 0.14/0.49 # Positive unorientable unit clauses: 0 0.14/0.49 # Negative unit clauses : 9 0.14/0.49 # Non-unit-clauses : 73 0.14/0.49 # Current number of unprocessed clauses: 640 0.14/0.49 # ...number of literals in the above : 2708 0.14/0.49 # Current number of archived formulas : 0 0.14/0.49 # Current number of archived clauses : 115 0.14/0.49 # Clause-clause subsumption calls (NU) : 8017 0.14/0.49 # Rec. Clause-clause subsumption calls : 1589 0.14/0.49 # Non-unit clause-clause subsumptions : 41 0.14/0.49 # Unit Clause-clause subsumption calls : 154 0.14/0.49 # Rewrite failures with RHS unbound : 0 0.14/0.49 # BW rewrite match attempts : 19 0.14/0.49 # BW rewrite match successes : 6 0.14/0.49 # Condensation attempts : 321 0.14/0.49 # Condensation successes : 0 0.14/0.49 # Termbank termtop insertions : 66113 0.14/0.49 # Search garbage collected termcells : 16986 0.14/0.49 0.14/0.49 # ------------------------------------------------- 0.14/0.49 # User time : 0.038 s 0.14/0.49 # System time : 0.010 s 0.14/0.49 # Total time : 0.049 s 0.14/0.49 # Maximum resident set size: 5288 pages 0.14/0.49 0.14/0.49 # ------------------------------------------------- 0.14/0.49 # User time : 0.049 s 0.14/0.49 # System time : 0.012 s 0.14/0.49 # Total time : 0.061 s 0.14/0.49 # Maximum resident set size: 2784 pages 0.14/0.49 % E---3.1 exiting 0.14/0.49 % E exiting 0.14/0.49 EOF