0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : run_E %s %d THM 0.12/0.34 % Computer : n017.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 1440 0.12/0.34 % WCLimit : 180 0.12/0.34 % DateTime : Thu Jul 4 10:26:09 EDT 2024 0.12/0.34 % CPUTime : 0.20/0.49 Running higher-order theorem proving 0.20/0.55 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.5r0PjAp3v1/E---3.1_22030.p 0.57/0.66 # Version: 3.2.0-ho 0.57/0.66 # Preprocessing class: HSLMSMSMLLLCHSA. 0.57/0.66 # Scheduled 5 strats onto 8 cores with 180 seconds (1440 total) 0.57/0.66 # Starting pre_casc_4 with 720s (4) cores 0.57/0.66 # Starting full_lambda_6 with 180s (1) cores 0.57/0.66 # Starting sh10 with 180s (1) cores 0.57/0.66 # Starting post_as_ho9 with 180s (1) cores 0.57/0.66 # Starting post_as_ho8 with 180s (1) cores 0.57/0.66 # pre_casc_4 with pid 22168 completed with status 0 0.57/0.66 # Result found by pre_casc_4 0.57/0.66 # Preprocessing class: HSLMSMSMLLLCHSA. 0.57/0.66 # Scheduled 5 strats onto 8 cores with 180 seconds (1440 total) 0.57/0.66 # Starting pre_casc_4 with 720s (4) cores 0.57/0.66 # SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true) 0.57/0.66 # Search class: HGUSM-FSLM31-DHSMMFBN 0.57/0.66 # partial match(2): HGUSM-FSLM31-DHSFFFBN 0.57/0.66 # Scheduled 6 strats onto 4 cores with 720 seconds (720 total) 0.57/0.66 # Starting new_bool_5 with 324s (1) cores 0.57/0.66 # Starting pre_casc_4 with 73s (1) cores 0.57/0.66 # Starting ehoh_best8_lambda with 81s (1) cores 0.57/0.66 # Starting new_bool_1 with 81s (1) cores 0.57/0.66 # new_bool_5 with pid 22184 completed with status 0 0.57/0.66 # Result found by new_bool_5 0.57/0.66 # Preprocessing class: HSLMSMSMLLLCHSA. 0.57/0.66 # Scheduled 5 strats onto 8 cores with 180 seconds (1440 total) 0.57/0.66 # Starting pre_casc_4 with 720s (4) cores 0.57/0.66 # SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true) 0.57/0.66 # Search class: HGUSM-FSLM31-DHSMMFBN 0.57/0.66 # partial match(2): HGUSM-FSLM31-DHSFFFBN 0.57/0.66 # Scheduled 6 strats onto 4 cores with 720 seconds (720 total) 0.57/0.66 # Starting new_bool_5 with 324s (1) cores 0.57/0.66 # Preprocessing time : 0.006 s 0.57/0.66 # Presaturation interreduction done 0.57/0.66 0.57/0.66 # Proof found! 0.57/0.66 # SZS status Theorem 0.57/0.66 # SZS output start CNFRefutation 0.57/0.66 thf(decl_22, type, is_of: $i > ($i > $o) > $o). 0.57/0.66 thf(decl_23, type, all_of: ($i > $o) > ($i > $o) > $o). 0.57/0.66 thf(decl_25, type, in: $i > $i > $o). 0.57/0.66 thf(decl_77, type, e_is: $i > $i > $i > $o). 0.57/0.66 thf(decl_124, type, n_is: $i > $i > $o). 0.57/0.66 thf(decl_162, type, n_ts: $i > $i > $i). 0.57/0.66 thf(decl_189, type, frac: $i). 0.57/0.66 thf(decl_191, type, num: $i > $i). 0.57/0.66 thf(decl_192, type, den: $i > $i). 0.57/0.66 thf(decl_193, type, n_eq: $i > $i > $o). 0.57/0.66 thf(decl_198, type, n_pf: $i > $i > $i). 0.57/0.66 thf(decl_199, type, esk1_0: $i). 0.57/0.66 thf(decl_200, type, esk2_0: $i). 0.57/0.66 thf(decl_201, type, esk3_0: $i). 0.57/0.66 thf(def_e_is, axiom, ((e_is)=(^[X1:$i, X60:$i, X61:$i]:(((X60)=(X61))))), file('/export/starexec/sandbox/tmp/tmp.5r0PjAp3v1/E---3.1_22030.p', def_e_is)). 0.57/0.66 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.5r0PjAp3v1/E---3.1_22030.p', def_all_of)). 0.57/0.66 thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox/tmp/tmp.5r0PjAp3v1/E---3.1_22030.p', def_is_of)). 0.57/0.66 thf(def_n_eq, axiom, ((n_eq)=(^[X1:$i, X218:$i]:((n_is @ (n_ts @ (num @ X1) @ (den @ X218)) @ (n_ts @ (num @ X218) @ (den @ X1)))))), file('/export/starexec/sandbox/tmp/tmp.5r0PjAp3v1/E---3.1_22030.p', def_n_eq)). 0.57/0.66 thf(def_n_is, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox/tmp/tmp.5r0PjAp3v1/E---3.1_22030.p', def_n_is)). 0.57/0.66 thf(satz62e, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X403:$i]:((in @ X403 @ frac))) @ (^[X404:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ frac))) @ (^[X4:$i]:(((n_eq @ (n_pf @ X4 @ X1) @ (n_pf @ X4 @ X404))<=(n_eq @ X1 @ X404))))))))))), file('/export/starexec/sandbox/tmp/tmp.5r0PjAp3v1/E---3.1_22030.p', satz62e)). 0.57/0.66 thf(satz56, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ frac))) @ (^[X1:$i]:((all_of @ (^[X407:$i]:((in @ X407 @ frac))) @ (^[X408:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ frac))) @ (^[X4:$i]:((all_of @ (^[X10:$i]:((in @ X10 @ frac))) @ (^[X10:$i]:(((n_eq @ X1 @ X408)=>((n_eq @ X4 @ X10)=>(n_eq @ (n_pf @ X1 @ X4) @ (n_pf @ X408 @ X10)))))))))))))))), file('/export/starexec/sandbox/tmp/tmp.5r0PjAp3v1/E---3.1_22030.p', satz56)). 0.57/0.66 thf(c_0_7, plain, ((e_is)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:(((Z1)=(Z2))))), inference(fof_simplification,[status(thm)],[def_e_is])). 0.57/0.66 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])). 0.57/0.66 thf(c_0_9, plain, ((is_of)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])). 0.57/0.66 thf(c_0_10, plain, ((n_eq)=(^[Z0/* 19 */:$i, Z1:$i]:((((n_ts @ (num @ Z0) @ (den @ Z1))=(n_ts @ (num @ Z1) @ (den @ Z0))))))), inference(fof_simplification,[status(thm)],[def_n_eq])). 0.57/0.66 thf(c_0_11, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_n_is, c_0_7])). 0.57/0.66 thf(c_0_12, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_8, c_0_9])). 0.57/0.66 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])). 0.57/0.66 thf(c_0_14, negated_conjecture, ~(![X574:$i]:(((in @ X574 @ frac)=>![X573:$i]:(((in @ X573 @ frac)=>![X572:$i]:(((in @ X572 @ frac)=>(((n_ts @ (num @ X574) @ (den @ X573))=(n_ts @ (num @ X573) @ (den @ X574)))=>((n_ts @ (num @ (n_pf @ X572 @ X574)) @ (den @ (n_pf @ X572 @ X573)))=(n_ts @ (num @ (n_pf @ X572 @ X573)) @ (den @ (n_pf @ X572 @ X574)))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz62e])]), c_0_12]), c_0_13])])). 0.57/0.66 thf(c_0_15, plain, ![X598:$i]:(((in @ X598 @ frac)=>![X597:$i]:(((in @ X597 @ frac)=>![X596:$i]:(((in @ X596 @ frac)=>![X595:$i]:(((in @ X595 @ frac)=>(((n_ts @ (num @ X598) @ (den @ X597))=(n_ts @ (num @ X597) @ (den @ X598)))=>(((n_ts @ (num @ X596) @ (den @ X595))=(n_ts @ (num @ X595) @ (den @ X596)))=>((n_ts @ (num @ (n_pf @ X598 @ X596)) @ (den @ (n_pf @ X597 @ X595)))=(n_ts @ (num @ (n_pf @ X597 @ X595)) @ (den @ (n_pf @ X598 @ X596)))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz56]), c_0_12]), c_0_13])). 0.57/0.66 thf(c_0_16, negated_conjecture, ((in @ esk1_0 @ frac)&((in @ esk2_0 @ frac)&((in @ esk3_0 @ frac)&(((n_ts @ (num @ esk1_0) @ (den @ esk2_0))=(n_ts @ (num @ esk2_0) @ (den @ esk1_0)))&((n_ts @ (num @ (n_pf @ esk3_0 @ esk1_0)) @ (den @ (n_pf @ esk3_0 @ esk2_0)))!=(n_ts @ (num @ (n_pf @ esk3_0 @ esk2_0)) @ (den @ (n_pf @ esk3_0 @ esk1_0)))))))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])). 0.57/0.66 thf(c_0_17, plain, ![X859:$i, X860:$i, X861:$i, X862:$i]:((~(in @ X859 @ frac)|(~(in @ X860 @ frac)|(~(in @ X861 @ frac)|(~(in @ X862 @ frac)|(((n_ts @ (num @ X859) @ (den @ X860))!=(n_ts @ (num @ X860) @ (den @ X859)))|(((n_ts @ (num @ X861) @ (den @ X862))!=(n_ts @ (num @ X862) @ (den @ X861)))|((n_ts @ (num @ (n_pf @ X859 @ X861)) @ (den @ (n_pf @ X860 @ X862)))=(n_ts @ (num @ (n_pf @ X860 @ X862)) @ (den @ (n_pf @ X859 @ X861))))))))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])). 0.57/0.66 thf(c_0_18, negated_conjecture, ((n_ts @ (num @ (n_pf @ esk3_0 @ esk1_0)) @ (den @ (n_pf @ esk3_0 @ esk2_0)))!=(n_ts @ (num @ (n_pf @ esk3_0 @ esk2_0)) @ (den @ (n_pf @ esk3_0 @ esk1_0)))), inference(split_conjunct,[status(thm)],[c_0_16])). 0.57/0.66 thf(c_0_19, plain, ![X1:$i, X4:$i, X6:$i, X5:$i]:((((n_ts @ (num @ (n_pf @ X1 @ X5)) @ (den @ (n_pf @ X4 @ X6)))=(n_ts @ (num @ (n_pf @ X4 @ X6)) @ (den @ (n_pf @ X1 @ X5))))|~((in @ X1 @ frac))|~((in @ X4 @ frac))|~((in @ X5 @ frac))|~((in @ X6 @ frac))|((n_ts @ (num @ X1) @ (den @ X4))!=(n_ts @ (num @ X4) @ (den @ X1)))|((n_ts @ (num @ X5) @ (den @ X6))!=(n_ts @ (num @ X6) @ (den @ X5))))), inference(split_conjunct,[status(thm)],[c_0_17])). 0.57/0.66 thf(c_0_20, negated_conjecture, ((n_ts @ (num @ esk1_0) @ (den @ esk2_0))=(n_ts @ (num @ esk2_0) @ (den @ esk1_0))), inference(split_conjunct,[status(thm)],[c_0_16])). 0.57/0.66 thf(c_0_21, negated_conjecture, (in @ esk2_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_16])). 0.57/0.66 thf(c_0_22, negated_conjecture, (in @ esk1_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_16])). 0.57/0.66 thf(c_0_23, negated_conjecture, (in @ esk3_0 @ frac), inference(split_conjunct,[status(thm)],[c_0_16])). 0.57/0.66 thf(c_0_24, negated_conjecture, ($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']). 0.57/0.66 # SZS output end CNFRefutation 0.57/0.66 # Parsed axioms : 586 0.57/0.66 # Removed by relevancy pruning/SinE : 446 0.57/0.66 # Initial clauses : 141 0.57/0.66 # Removed in clause preprocessing : 12 0.57/0.66 # Initial clauses in saturation : 129 0.57/0.66 # Processed clauses : 280 0.57/0.66 # ...of these trivial : 3 0.57/0.66 # ...subsumed : 52 0.57/0.66 # ...remaining for further processing : 225 0.57/0.66 # Other redundant clauses eliminated : 16 0.57/0.66 # Clauses deleted for lack of memory : 0 0.57/0.66 # Backward-subsumed : 0 0.57/0.66 # Backward-rewritten : 6 0.57/0.66 # Generated clauses : 741 0.57/0.66 # ...of the previous two non-redundant : 683 0.57/0.66 # ...aggressively subsumed : 0 0.57/0.66 # Contextual simplify-reflections : 0 0.57/0.66 # Paramodulations : 681 0.57/0.66 # Factorizations : 0 0.57/0.66 # NegExts : 1 0.57/0.66 # Equation resolutions : 22 0.57/0.66 # Disequality decompositions : 0 0.57/0.66 # Total rewrite steps : 304 0.57/0.66 # ...of those cached : 262 0.57/0.66 # Propositional unsat checks : 0 0.57/0.66 # Propositional check models : 0 0.57/0.66 # Propositional check unsatisfiable : 0 0.57/0.66 # Propositional clauses : 0 0.57/0.66 # Propositional clauses after purity: 0 0.57/0.66 # Propositional unsat core size : 0 0.57/0.66 # Propositional preprocessing time : 0.000 0.57/0.66 # Propositional encoding time : 0.000 0.57/0.66 # Propositional solver time : 0.000 0.57/0.66 # Success case prop preproc time : 0.000 0.57/0.66 # Success case prop encoding time : 0.000 0.57/0.66 # Success case prop solver time : 0.000 0.57/0.66 # Current number of processed clauses : 117 0.57/0.66 # Positive orientable unit clauses : 48 0.57/0.66 # Positive unorientable unit clauses: 0 0.57/0.66 # Negative unit clauses : 9 0.57/0.66 # Non-unit-clauses : 60 0.57/0.66 # Current number of unprocessed clauses: 602 0.57/0.66 # ...number of literals in the above : 2897 0.57/0.66 # Current number of archived formulas : 0 0.57/0.66 # Current number of archived clauses : 100 0.57/0.66 # Clause-clause subsumption calls (NU) : 6664 0.57/0.66 # Rec. Clause-clause subsumption calls : 1124 0.57/0.66 # Non-unit clause-clause subsumptions : 41 0.57/0.66 # Unit Clause-clause subsumption calls : 23 0.57/0.66 # Rewrite failures with RHS unbound : 0 0.57/0.66 # BW rewrite match attempts : 20 0.57/0.66 # BW rewrite match successes : 6 0.57/0.66 # Condensation attempts : 280 0.57/0.66 # Condensation successes : 0 0.57/0.66 # Termbank termtop insertions : 67624 0.57/0.66 # Search garbage collected termcells : 17096 0.57/0.66 0.57/0.66 # ------------------------------------------------- 0.57/0.66 # User time : 0.071 s 0.57/0.66 # System time : 0.012 s 0.57/0.66 # Total time : 0.083 s 0.57/0.66 # Maximum resident set size: 5424 pages 0.57/0.66 0.57/0.66 # ------------------------------------------------- 0.57/0.66 # User time : 0.230 s 0.57/0.66 # System time : 0.035 s 0.57/0.66 # Total time : 0.265 s 0.57/0.66 # Maximum resident set size: 2796 pages 0.57/0.66 % E---3.1 exiting 0.57/0.66 % E exiting 0.57/0.66 EOF