0.02/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.11 % Command : run_E %s %d THM 0.10/0.31 % Computer : n019.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % WCLimit : 120 0.10/0.31 % DateTime : Tue Aug 9 06:22:51 EDT 2022 0.10/0.31 % CPUTime : 0.16/0.42 Running higher-order on 8 cores theorem proving 0.16/0.42 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=120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.16/0.42 # Version: 3.0pre003-ho 0.16/0.43 # Preprocessing class: HSSSSMSSMLSNHHN. 0.16/0.43 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.16/0.43 # Starting new_ho_10 with 600s (5) cores 0.16/0.43 # Starting pre_casc_5 with 120s (1) cores 0.16/0.43 # Starting post_as_ho11 with 120s (1) cores 0.16/0.43 # Starting ho_unfolding_1 with 120s (1) cores 0.16/0.43 # pre_casc_5 with pid 7865 completed with status 0 0.16/0.43 # Result found by pre_casc_5 0.16/0.43 # Preprocessing class: HSSSSMSSMLSNHHN. 0.16/0.43 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.16/0.43 # Starting new_ho_10 with 600s (5) cores 0.16/0.43 # Starting pre_casc_5 with 120s (1) cores 0.16/0.43 # SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true) 0.16/0.43 # ...ProofStateSinE()=14/59 0.16/0.43 # Search class: HHUSF-FFSF00-SHHSMFNN 0.16/0.43 # partial match(1): HHUNF-FFSF00-SHHSMFNN 0.16/0.43 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.16/0.43 # Starting new_ho_10 with 65s (1) cores 0.16/0.43 # new_ho_10 with pid 7868 completed with status 0 0.16/0.43 # Result found by new_ho_10 0.16/0.43 # Preprocessing class: HSSSSMSSMLSNHHN. 0.16/0.43 # Scheduled 4 strats onto 8 cores with 120 seconds (960 total) 0.16/0.43 # Starting new_ho_10 with 600s (5) cores 0.16/0.43 # Starting pre_casc_5 with 120s (1) cores 0.16/0.43 # SinE strategy is GSinE(CountFormulas,hypos,3,,5,20000,1.0,true) 0.16/0.43 # ...ProofStateSinE()=14/59 0.16/0.43 # Search class: HHUSF-FFSF00-SHHSMFNN 0.16/0.43 # partial match(1): HHUNF-FFSF00-SHHSMFNN 0.16/0.43 # Scheduled 6 strats onto 1 cores with 120 seconds (120 total) 0.16/0.43 # Starting new_ho_10 with 65s (1) cores 0.16/0.43 # Preprocessing time : 0.001 s 0.16/0.43 # Presaturation interreduction done 0.16/0.43 0.16/0.43 # Proof found! 0.16/0.43 # SZS status Theorem 0.16/0.43 # SZS output start CNFRefutation 0.16/0.43 thf(decl_22, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o). 0.16/0.43 thf(decl_23, type, inv: ($i > $i > $o) > $i > $i > $o). 0.16/0.43 thf(decl_24, type, idem: (($i > $i > $o) > $i > $i > $o) > $o). 0.16/0.43 thf(decl_25, type, infl: (($i > $i > $o) > $i > $i > $o) > $o). 0.16/0.43 thf(decl_26, type, mono: (($i > $i > $o) > $i > $i > $o) > $o). 0.16/0.43 thf(decl_27, type, refl: ($i > $i > $o) > $o). 0.16/0.43 thf(decl_28, type, irrefl: ($i > $i > $o) > $o). 0.16/0.43 thf(decl_29, type, rc: ($i > $i > $o) > $i > $i > $o). 0.16/0.43 thf(decl_30, type, symm: ($i > $i > $o) > $o). 0.16/0.43 thf(decl_31, type, antisymm: ($i > $i > $o) > $o). 0.16/0.43 thf(decl_32, type, asymm: ($i > $i > $o) > $o). 0.16/0.43 thf(decl_33, type, sc: ($i > $i > $o) > $i > $i > $o). 0.16/0.43 thf(decl_34, type, trans: ($i > $i > $o) > $o). 0.16/0.43 thf(decl_35, type, tc: ($i > $i > $o) > $i > $i > $o). 0.16/0.43 thf(decl_36, type, trc: ($i > $i > $o) > $i > $i > $o). 0.16/0.43 thf(decl_37, type, trsc: ($i > $i > $o) > $i > $i > $o). 0.16/0.43 thf(decl_38, type, po: ($i > $i > $o) > $o). 0.16/0.43 thf(decl_39, type, so: ($i > $i > $o) > $o). 0.16/0.43 thf(decl_40, type, total: ($i > $i > $o) > $o). 0.16/0.43 thf(decl_41, type, term: ($i > $i > $o) > $o). 0.16/0.43 thf(decl_42, type, ind: ($i > $i > $o) > $o). 0.16/0.43 thf(decl_43, type, innf: ($i > $i > $o) > $i > $o). 0.16/0.43 thf(decl_44, type, nfof: ($i > $i > $o) > $i > $i > $o). 0.16/0.43 thf(decl_45, type, norm: ($i > $i > $o) > $o). 0.16/0.43 thf(decl_46, type, join: ($i > $i > $o) > $i > $i > $o). 0.16/0.43 thf(decl_47, type, lconfl: ($i > $i > $o) > $o). 0.16/0.43 thf(decl_48, type, sconfl: ($i > $i > $o) > $o). 0.16/0.43 thf(decl_49, type, confl: ($i > $i > $o) > $o). 0.16/0.43 thf(decl_50, type, cr: ($i > $i > $o) > $o). 0.16/0.43 thf(decl_51, type, epred1_0: $i > $i > $o). 0.16/0.43 thf(decl_52, type, esk1_0: $i). 0.16/0.43 thf(decl_53, type, esk2_0: $i). 0.16/0.43 thf(decl_54, type, epred2_0: $i > $i > $o). 0.16/0.43 thf(decl_55, type, epred3_0: $i > $i > $o). 0.16/0.43 thf(transitive_closure, axiom, ((tc)=(^[X1:$i > $i > $o, X3:$i, X4:$i]:(![X2:$i > $i > $o]:((((trans @ X2)&(subrel @ X1 @ X2))=>(X2 @ X3 @ X4)))))), file('/export/starexec/sandbox2/benchmark/Axioms/SET009^0.ax', transitive_closure)). 0.16/0.43 thf(transitive, axiom, ((trans)=(^[X1:$i > $i > $o]:(![X3:$i, X4:$i, X6:$i]:((((X1 @ X3 @ X4)&(X1 @ X4 @ X6))=>(X1 @ X3 @ X6)))))), file('/export/starexec/sandbox2/benchmark/Axioms/SET009^0.ax', transitive)). 0.16/0.43 thf(subrel, axiom, ((subrel)=(^[X1:$i > $i > $o, X2:$i > $i > $o]:(![X3:$i, X4:$i]:(((X1 @ X3 @ X4)=>(X2 @ X3 @ X4)))))), file('/export/starexec/sandbox2/benchmark/Axioms/SET009^0.ax', subrel)). 0.16/0.43 thf(transitive_reflexive_symmetric_closure, axiom, ((trsc)=(^[X1:$i > $i > $o]:(sc @ (rc @ (tc @ X1))))), file('/export/starexec/sandbox2/benchmark/Axioms/SET009^0.ax', transitive_reflexive_symmetric_closure)). 0.16/0.43 thf(reflexive_closure, axiom, ((rc)=(^[X1:$i > $i > $o, X3:$i, X4:$i]:((((X3)=(X4))|(X1 @ X3 @ X4))))), file('/export/starexec/sandbox2/benchmark/Axioms/SET009^0.ax', reflexive_closure)). 0.16/0.43 thf(symmetric_closure, axiom, ((sc)=(^[X1:$i > $i > $o, X3:$i, X4:$i]:(((X1 @ X4 @ X3)|(X1 @ X3 @ X4))))), file('/export/starexec/sandbox2/benchmark/Axioms/SET009^0.ax', symmetric_closure)). 0.16/0.43 thf(inflationary, axiom, ((infl)=(^[X5:($i > $i > $o) > $i > $i > $o]:(![X1:$i > $i > $o]:((subrel @ X1 @ (X5 @ X1)))))), file('/export/starexec/sandbox2/benchmark/Axioms/SET009^0.ax', inflationary)). 0.16/0.43 thf(transitive_reflexive_symmetric_closure_op_is_inflationary, conjecture, (infl @ trsc), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', transitive_reflexive_symmetric_closure_op_is_inflationary)). 0.16/0.43 thf(c_0_8, plain, ((tc)=(^[Z0:$i > $i > $o, Z1:$i, Z2:$i]:(![X2:$i > $i > $o]:((((![X11:$i, X12:$i, X13:$i]:((((X2 @ X11 @ X12)&(X2 @ X12 @ X13))=>(X2 @ X11 @ X13))))&(![X14:$i, X15:$i]:(((Z0 @ X14 @ X15)=>(X2 @ X14 @ X15)))))=>(X2 @ Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[transitive_closure])). 0.16/0.43 thf(c_0_9, plain, ((trans)=(^[Z0:$i > $i > $o]:(![X3:$i, X4:$i, X6:$i]:((((Z0 @ X3 @ X4)&(Z0 @ X4 @ X6))=>(Z0 @ X3 @ X6)))))), inference(fof_simplification,[status(thm)],[transitive])). 0.16/0.43 thf(c_0_10, plain, ((subrel)=(^[Z0:$i > $i > $o, Z1:$i > $i > $o]:(![X3:$i, X4:$i]:(((Z0 @ X3 @ X4)=>(Z1 @ X3 @ X4)))))), inference(fof_simplification,[status(thm)],[subrel])). 0.16/0.43 thf(c_0_11, plain, ((trsc)=(^[Z0:$i > $i > $o, Z1:$i, Z2:$i]:(((((Z2)|(![X22:$i > $i > $o]:((((![X23:$i, X24:$i, X25:$i]:((((X22 @ X23 @ X24)&(X22 @ X24 @ X25))=>(X22 @ X23 @ X25))))&(![X26:$i, X27:$i]:(((Z0 @ X26 @ X27)=>(X22 @ X26 @ X27)))))=>(X22 @ Z2 @ Z1))))))|((((Z1)=(Z2))|(![X22:$i > $i > $o]:((((![X23:$i, X24:$i, X25:$i]:((((X22 @ X23 @ X24)&(X22 @ X24 @ X25))=>(X22 @ X23 @ X25))))&(![X26:$i, X27:$i]:(((Z0 @ X26 @ X27)=>(X22 @ X26 @ X27)))))=>(X22 @ Z1 @ Z2)))))))))), inference(fof_simplification,[status(thm)],[transitive_reflexive_symmetric_closure])). 0.16/0.43 thf(c_0_12, plain, ((rc)=(^[Z0:$i > $i > $o, Z1:$i, Z2:$i]:((((Z1)=(Z2))|(Z0 @ Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[reflexive_closure])). 0.16/0.43 thf(c_0_13, plain, ((sc)=(^[Z0:$i > $i > $o, Z1:$i, Z2:$i]:(((Z0 @ Z2 @ Z1)|(Z0 @ Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[symmetric_closure])). 0.16/0.43 thf(c_0_14, plain, ((tc)=(^[Z0:$i > $i > $o, Z1:$i, Z2:$i]:(![X2:$i > $i > $o]:((((![X11:$i, X12:$i, X13:$i]:((((X2 @ X11 @ X12)&(X2 @ X12 @ X13))=>(X2 @ X11 @ X13))))&(![X14:$i, X15:$i]:(((Z0 @ X14 @ X15)=>(X2 @ X14 @ X15)))))=>(X2 @ Z1 @ Z2)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_8, c_0_9]), c_0_10])). 0.16/0.43 thf(c_0_15, plain, ((infl)=(^[Z0:($i > $i > $o) > $i > $i > $o]:(![X1:$i > $i > $o]:((![X9:$i, X10:$i]:(((X1 @ X9 @ X10)=>(Z0 @ X1 @ X9 @ X10)))))))), inference(fof_simplification,[status(thm)],[inflationary])). 0.16/0.43 thf(c_0_16, plain, ((trsc)=(^[Z0:$i > $i > $o, Z1:$i, Z2:$i]:(((((Z2)|(![X22:$i > $i > $o]:((((![X23:$i, X24:$i, X25:$i]:((((X22 @ X23 @ X24)&(X22 @ X24 @ X25))=>(X22 @ X23 @ X25))))&(![X26:$i, X27:$i]:(((Z0 @ X26 @ X27)=>(X22 @ X26 @ X27)))))=>(X22 @ Z2 @ Z1))))))|((((Z1)=(Z2))|(![X22:$i > $i > $o]:((((![X23:$i, X24:$i, X25:$i]:((((X22 @ X23 @ X24)&(X22 @ X24 @ X25))=>(X22 @ X23 @ X25))))&(![X26:$i, X27:$i]:(((Z0 @ X26 @ X27)=>(X22 @ X26 @ X27)))))=>(X22 @ Z1 @ Z2)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_11, c_0_12]), c_0_13]), c_0_14])). 0.16/0.43 thf(c_0_17, plain, ((infl)=(^[Z0:($i > $i > $o) > $i > $i > $o]:(![X1:$i > $i > $o]:((![X9:$i, X10:$i]:(((X1 @ X9 @ X10)=>(Z0 @ X1 @ X9 @ X10)))))))), inference(apply_def,[status(thm)],[c_0_15, c_0_10])). 0.16/0.43 thf(c_0_18, negated_conjecture, ~(![X91:$i > $i > $o, X92:$i, X93:$i]:(((X91 @ X92 @ X93)=>(((X93)=(X92))|![X79:$i > $i > $o]:(((![X80:$i, X81:$i, X82:$i]:((((X79 @ X80 @ X81)&(X79 @ X81 @ X82))=>(X79 @ X80 @ X82)))&![X83:$i, X84:$i]:(((X91 @ X83 @ X84)=>(X79 @ X83 @ X84))))=>(X79 @ X93 @ X92)))|(((X92)=(X93))|![X85:$i > $i > $o]:(((![X86:$i, X87:$i, X88:$i]:((((X85 @ X86 @ X87)&(X85 @ X87 @ X88))=>(X85 @ X86 @ X88)))&![X89:$i, X90:$i]:(((X91 @ X89 @ X90)=>(X85 @ X89 @ X90))))=>(X85 @ X92 @ X93)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[transitive_reflexive_symmetric_closure_op_is_inflationary]), c_0_16]), c_0_17])). 0.16/0.43 thf(c_0_19, negated_conjecture, ![X98:$i, X99:$i, X100:$i, X101:$i, X102:$i, X104:$i, X105:$i, X106:$i, X107:$i, X108:$i]:(((epred1_0 @ esk1_0 @ esk2_0)&((((esk2_0)!=(esk1_0))&(((~(epred2_0 @ X98 @ X99)|~(epred2_0 @ X99 @ X100)|(epred2_0 @ X98 @ X100))&(~(epred1_0 @ X101 @ X102)|(epred2_0 @ X101 @ X102)))&~(epred2_0 @ esk2_0 @ esk1_0)))&(((esk1_0)!=(esk2_0))&(((~(epred3_0 @ X104 @ X105)|~(epred3_0 @ X105 @ X106)|(epred3_0 @ X104 @ X106))&(~(epred1_0 @ X107 @ X108)|(epred3_0 @ X107 @ X108)))&~(epred3_0 @ esk1_0 @ esk2_0)))))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])). 0.16/0.43 thf(c_0_20, negated_conjecture, ![X3:$i, X4:$i]:(((epred3_0 @ X3 @ X4)|~((epred1_0 @ X3 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.16/0.43 thf(c_0_21, negated_conjecture, (epred1_0 @ esk1_0 @ esk2_0), inference(split_conjunct,[status(thm)],[c_0_19])). 0.16/0.43 thf(c_0_22, negated_conjecture, ~((epred3_0 @ esk1_0 @ esk2_0)), inference(split_conjunct,[status(thm)],[c_0_19])). 0.16/0.43 thf(c_0_23, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_21]), c_0_22]), ['proof']). 0.16/0.43 # SZS output end CNFRefutation 0.16/0.43 # Parsed axioms : 59 0.16/0.43 # Removed by relevancy pruning/SinE : 45 0.16/0.43 # Initial clauses : 9 0.16/0.43 # Removed in clause preprocessing : 0 0.16/0.43 # Initial clauses in saturation : 9 0.16/0.43 # Processed clauses : 15 0.16/0.43 # ...of these trivial : 0 0.16/0.43 # ...subsumed : 1 0.16/0.43 # ...remaining for further processing : 14 0.16/0.43 # Other redundant clauses eliminated : 0 0.16/0.43 # Clauses deleted for lack of memory : 0 0.16/0.43 # Backward-subsumed : 0 0.16/0.43 # Backward-rewritten : 0 0.16/0.43 # Generated clauses : 2 0.16/0.43 # ...of the previous two non-redundant : 1 0.16/0.43 # ...aggressively subsumed : 0 0.16/0.43 # Contextual simplify-reflections : 0 0.16/0.43 # Paramodulations : 2 0.16/0.43 # Factorizations : 0 0.16/0.43 # NegExts : 0 0.16/0.43 # Equation resolutions : 0 0.16/0.43 # Propositional unsat checks : 0 0.16/0.43 # Propositional check models : 0 0.16/0.43 # Propositional check unsatisfiable : 0 0.16/0.43 # Propositional clauses : 0 0.16/0.43 # Propositional clauses after purity: 0 0.16/0.43 # Propositional unsat core size : 0 0.16/0.43 # Propositional preprocessing time : 0.000 0.16/0.43 # Propositional encoding time : 0.000 0.16/0.43 # Propositional solver time : 0.000 0.16/0.43 # Success case prop preproc time : 0.000 0.16/0.43 # Success case prop encoding time : 0.000 0.16/0.43 # Success case prop solver time : 0.000 0.16/0.43 # Current number of processed clauses : 6 0.16/0.43 # Positive orientable unit clauses : 1 0.16/0.43 # Positive unorientable unit clauses: 0 0.16/0.43 # Negative unit clauses : 3 0.16/0.43 # Non-unit-clauses : 2 0.16/0.43 # Current number of unprocessed clauses: 3 0.16/0.43 # ...number of literals in the above : 7 0.16/0.43 # Current number of archived formulas : 0 0.16/0.43 # Current number of archived clauses : 8 0.16/0.43 # Clause-clause subsumption calls (NU) : 2 0.16/0.43 # Rec. Clause-clause subsumption calls : 2 0.16/0.43 # Non-unit clause-clause subsumptions : 0 0.16/0.43 # Unit Clause-clause subsumption calls : 0 0.16/0.43 # Rewrite failures with RHS unbound : 0 0.16/0.43 # BW rewrite match attempts : 0 0.16/0.43 # BW rewrite match successes : 0 0.16/0.43 # Condensation attempts : 15 0.16/0.43 # Condensation successes : 0 0.16/0.43 # Termbank termtop insertions : 2079 0.16/0.43 0.16/0.43 # ------------------------------------------------- 0.16/0.43 # User time : 0.004 s 0.16/0.43 # System time : 0.001 s 0.16/0.43 # Total time : 0.005 s 0.16/0.43 # Maximum resident set size: 2160 pages 0.16/0.43 0.16/0.43 # ------------------------------------------------- 0.16/0.43 # User time : 0.006 s 0.16/0.43 # System time : 0.003 s 0.16/0.43 # Total time : 0.008 s 0.16/0.43 # Maximum resident set size: 1784 pages 0.16/0.43 EOF