0.05/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.09 % Command : run_E %s %d THM 0.08/0.28 % Computer : n032.cluster.edu 0.08/0.28 % Model : x86_64 x86_64 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.28 % Memory : 8042.1875MB 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64 0.08/0.28 % CPULimit : 1440 0.08/0.28 % WCLimit : 180 0.08/0.28 % DateTime : Thu Jul 4 07:34:23 EDT 2024 0.08/0.28 % CPUTime : 0.13/0.37 Running higher-order theorem proving 0.13/0.38 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.0wKKFmHw9R/E---3.1_20233.p 0.13/0.39 # Version: 3.2.0-ho 0.13/0.39 # Preprocessing class: HSMSSMSSMLSNHSN. 0.13/0.39 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.13/0.39 # Starting new_ho_10_cnf2 with 900s (5) cores 0.13/0.39 # Starting post_as_ho3 with 180s (1) cores 0.13/0.39 # Starting post_as_ho11 with 180s (1) cores 0.13/0.39 # Starting full_lambda_8 with 180s (1) cores 0.13/0.39 # post_as_ho11 with pid 20315 completed with status 0 0.13/0.39 # Result found by post_as_ho11 0.13/0.39 # Preprocessing class: HSMSSMSSMLSNHSN. 0.13/0.39 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.13/0.39 # Starting new_ho_10_cnf2 with 900s (5) cores 0.13/0.39 # Starting post_as_ho3 with 180s (1) cores 0.13/0.39 # Starting post_as_ho11 with 180s (1) cores 0.13/0.39 # No SInE strategy applied 0.13/0.39 # Search class: HGHNS-FFSF11-SHSSMFNN 0.13/0.39 # partial match(1): HHHNS-FFSF11-SHSSMFNN 0.13/0.39 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.13/0.39 # Starting new_ho_10 with 98s (1) cores 0.13/0.39 # new_ho_10 with pid 20321 completed with status 0 0.13/0.39 # Result found by new_ho_10 0.13/0.39 # Preprocessing class: HSMSSMSSMLSNHSN. 0.13/0.39 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.13/0.39 # Starting new_ho_10_cnf2 with 900s (5) cores 0.13/0.39 # Starting post_as_ho3 with 180s (1) cores 0.13/0.39 # Starting post_as_ho11 with 180s (1) cores 0.13/0.39 # No SInE strategy applied 0.13/0.39 # Search class: HGHNS-FFSF11-SHSSMFNN 0.13/0.39 # partial match(1): HHHNS-FFSF11-SHSSMFNN 0.13/0.39 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 0.13/0.39 # Starting new_ho_10 with 98s (1) cores 0.13/0.39 # Preprocessing time : 0.001 s 0.13/0.39 # Presaturation interreduction done 0.13/0.39 0.13/0.39 # Proof found! 0.13/0.39 # SZS status Theorem 0.13/0.39 # SZS output start CNFRefutation 0.13/0.39 thf(decl_sort1, type, mindex: $tType). 0.13/0.39 thf(decl_sort2, type, mworld: $tType). 0.13/0.39 thf(decl_22, type, mrel: mindex > mworld > mworld > $o). 0.13/0.39 thf(decl_23, type, '#c': mindex). 0.13/0.39 thf(decl_24, type, '#u': mindex). 0.13/0.39 thf(decl_25, type, mactual: mworld). 0.13/0.39 thf(decl_26, type, mlocal: (mworld > $o) > $o). 0.13/0.39 thf(decl_27, type, mnot: (mworld > $o) > mworld > $o). 0.13/0.39 thf(decl_28, type, mand: (mworld > $o) > (mworld > $o) > mworld > $o). 0.13/0.39 thf(decl_30, type, mimplies: (mworld > $o) > (mworld > $o) > mworld > $o). 0.13/0.39 thf(decl_32, type, mbox: mindex > (mworld > $o) > mworld > $o). 0.13/0.39 thf(decl_34, type, charge: mworld > $o). 0.13/0.39 thf(decl_35, type, called: mworld > $o). 0.13/0.39 thf(decl_36, type, paid: mworld > $o). 0.13/0.39 thf(decl_37, type, esk1_0: mworld). 0.13/0.39 thf(decl_38, type, esk2_1: mworld > mworld). 0.13/0.39 thf(mlocal_def, axiom, ((mlocal)=(^[X1:mworld > $o]:((X1 @ mactual)))), file('/export/starexec/sandbox/tmp/tmp.0wKKFmHw9R/E---3.1_20233.p', mlocal_def)). 0.13/0.39 thf(mand_def, axiom, ((mand)=(^[X2:mworld > $o, X4:mworld > $o, X3:mworld]:(((X2 @ X3)&(X4 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.0wKKFmHw9R/E---3.1_20233.p', mand_def)). 0.13/0.39 thf(mimplies_def, axiom, ((mimplies)=(^[X2:mworld > $o, X4:mworld > $o, X3:mworld]:(((X2 @ X3)=>(X4 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.0wKKFmHw9R/E---3.1_20233.p', mimplies_def)). 0.13/0.39 thf(mbox_def, axiom, ((mbox)=(^[X5:mindex, X1:mworld > $o, X3:mworld]:(![X6:mworld]:(((mrel @ X5 @ X3 @ X6)=>(X1 @ X6)))))), file('/export/starexec/sandbox/tmp/tmp.0wKKFmHw9R/E---3.1_20233.p', mbox_def)). 0.13/0.39 thf(mnot_def, axiom, ((mnot)=(^[X2:mworld > $o, X3:mworld]:(~((X2 @ X3))))), file('/export/starexec/sandbox/tmp/tmp.0wKKFmHw9R/E---3.1_20233.p', mnot_def)). 0.13/0.39 thf(axiom_charge_u, axiom, (mlocal @ (mimplies @ charge @ (mand @ (mbox @ '#u' @ charge) @ (mbox @ '#c' @ charge)))), file('/export/starexec/sandbox/tmp/tmp.0wKKFmHw9R/E---3.1_20233.p', axiom_charge_u)). 0.13/0.39 thf(requirement_1, conjecture, (mlocal @ (mimplies @ (mnot @ (mimplies @ charge @ (mand @ called @ (mnot @ paid)))) @ (mbox @ '#u' @ (mnot @ (mimplies @ charge @ (mand @ called @ (mnot @ paid))))))), file('/export/starexec/sandbox/tmp/tmp.0wKKFmHw9R/E---3.1_20233.p', requirement_1)). 0.13/0.39 thf(axiom_2, axiom, (mlocal @ (mbox @ '#c' @ (mimplies @ paid @ (mbox @ '#u' @ paid)))), file('/export/starexec/sandbox/tmp/tmp.0wKKFmHw9R/E---3.1_20233.p', axiom_2)). 0.13/0.39 thf('mrel_#c_reflexive', axiom, ![X3:mworld]:((mrel @ '#c' @ X3 @ X3)), file('/export/starexec/sandbox/tmp/tmp.0wKKFmHw9R/E---3.1_20233.p', 'mrel_#c_reflexive')). 0.13/0.39 thf(axiom_3, axiom, (mlocal @ (mimplies @ (mnot @ (mbox @ '#c' @ called)) @ (mbox @ '#u' @ (mnot @ (mbox @ '#c' @ called))))), file('/export/starexec/sandbox/tmp/tmp.0wKKFmHw9R/E---3.1_20233.p', axiom_3)). 0.13/0.39 thf(axiom_1, axiom, (mlocal @ (mbox @ '#u' @ (mimplies @ called @ (mbox @ '#c' @ called)))), file('/export/starexec/sandbox/tmp/tmp.0wKKFmHw9R/E---3.1_20233.p', axiom_1)). 0.13/0.39 thf(c_0_11, plain, ((mlocal)=(^[Z0/* 3 */:mworld > $o]:((Z0 @ mactual)))), inference(fof_simplification,[status(thm)],[mlocal_def])). 0.13/0.39 thf(c_0_12, plain, ((mand)=(^[Z0/* 19 */:mworld > $o, Z1:mworld > $o, Z2:mworld]:(((Z0 @ Z2)&(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mand_def])). 0.13/0.39 thf(c_0_13, plain, ((mimplies)=(^[Z0/* 19 */:mworld > $o, Z1:mworld > $o, Z2:mworld]:(((Z0 @ Z2)=>(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies_def])). 0.13/0.39 thf(c_0_14, plain, ((mbox)=(^[Z0/* 19 */:mindex, Z1:mworld > $o, Z2:mworld]:(![X6:mworld]:(((mrel @ Z0 @ Z2 @ X6)=>(Z1 @ X6)))))), inference(fof_simplification,[status(thm)],[mbox_def])). 0.13/0.39 thf(c_0_15, plain, ((mnot)=(^[Z0/* 19 */:mworld > $o, Z1:mworld]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot_def])). 0.13/0.39 thf(c_0_16, plain, ((charge @ mactual)=>(![X22:mworld]:(((mrel @ '#u' @ mactual @ X22)=>(charge @ X22)))&![X23:mworld]:(((mrel @ '#c' @ mactual @ X23)=>(charge @ X23))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_charge_u, c_0_11]), c_0_12]), c_0_13]), c_0_14])). 0.13/0.39 thf(c_0_17, negated_conjecture, ~((~(((charge @ mactual)=>((called @ mactual)&~(paid @ mactual))))=>![X16:mworld]:(((mrel @ '#u' @ mactual @ X16)=>~(((charge @ X16)=>((called @ X16)&~(paid @ X16)))))))), 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(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[requirement_1]), c_0_11]), c_0_15]), c_0_12]), c_0_13]), c_0_14])])). 0.13/0.39 thf(c_0_18, plain, ![X40:mworld, X41:mworld]:(((~(mrel @ '#u' @ mactual @ X40)|(charge @ X40)|~(charge @ mactual))&(~(mrel @ '#c' @ mactual @ X41)|(charge @ X41)|~(charge @ mactual)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])])). 0.13/0.39 thf(c_0_19, negated_conjecture, (((charge @ mactual)&(~(called @ mactual)|(paid @ mactual)))&((mrel @ '#u' @ mactual @ esk1_0)&(((called @ esk1_0)|~(charge @ esk1_0))&(~(paid @ esk1_0)|~(charge @ esk1_0))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])])). 0.13/0.39 thf(c_0_20, plain, ![X28:mworld]:(((mrel @ '#c' @ mactual @ X28)=>((paid @ X28)=>![X27:mworld]:(((mrel @ '#u' @ X28 @ X27)=>(paid @ X27)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_2, c_0_11]), c_0_13]), c_0_14])). 0.13/0.39 thf(c_0_21, plain, ![X3:mworld]:(((charge @ X3)|~((mrel @ '#u' @ mactual @ X3))|~((charge @ mactual)))), inference(split_conjunct,[status(thm)],[c_0_18])). 0.13/0.39 thf(c_0_22, negated_conjecture, (charge @ mactual), inference(split_conjunct,[status(thm)],[c_0_19])). 0.13/0.39 thf(c_0_23, plain, ![X48:mworld, X49:mworld]:((~(mrel @ '#c' @ mactual @ X48)|(~(paid @ X48)|(~(mrel @ '#u' @ X48 @ X49)|(paid @ X49))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])])). 0.13/0.39 thf(c_0_24, plain, ![X29:mworld]:((mrel @ '#c' @ X29 @ X29)), inference(variable_rename,[status(thm)],['mrel_#c_reflexive'])). 0.13/0.39 thf(c_0_25, plain, ![X3:mworld]:(((charge @ X3)|~((mrel @ '#u' @ mactual @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22])])). 0.13/0.39 thf(c_0_26, negated_conjecture, (mrel @ '#u' @ mactual @ esk1_0), inference(split_conjunct,[status(thm)],[c_0_19])). 0.13/0.39 thf(c_0_27, plain, ![X3:mworld, X6:mworld]:(((paid @ X6)|~((mrel @ '#c' @ mactual @ X3))|~((paid @ X3))|~((mrel @ '#u' @ X3 @ X6)))), inference(split_conjunct,[status(thm)],[c_0_23])). 0.13/0.39 thf(c_0_28, plain, ![X3:mworld]:((mrel @ '#c' @ X3 @ X3)), inference(split_conjunct,[status(thm)],[c_0_24])). 0.13/0.39 thf(c_0_29, negated_conjecture, (~((paid @ esk1_0))|~((charge @ esk1_0))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.13/0.39 thf(c_0_30, negated_conjecture, (charge @ esk1_0), inference(spm,[status(thm)],[c_0_25, c_0_26])). 0.13/0.39 thf(c_0_31, plain, (~(![X17:mworld]:(((mrel @ '#c' @ mactual @ X17)=>(called @ X17))))=>![X19:mworld]:(((mrel @ '#u' @ mactual @ X19)=>~(![X18:mworld]:(((mrel @ '#c' @ X19 @ X18)=>(called @ X18))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_3, c_0_11]), c_0_15]), c_0_13]), c_0_14])). 0.13/0.39 thf(c_0_32, plain, ![X3:mworld]:(((paid @ X3)|~((mrel @ '#u' @ mactual @ X3))|~((paid @ mactual)))), inference(spm,[status(thm)],[c_0_27, c_0_28])). 0.13/0.39 thf(c_0_33, negated_conjecture, ~((paid @ esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_30])])). 0.13/0.39 thf(c_0_34, plain, ![X21:mworld]:(((mrel @ '#u' @ mactual @ X21)=>((called @ X21)=>![X20:mworld]:(((mrel @ '#c' @ X21 @ X20)=>(called @ X20)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_1, c_0_11]), c_0_13]), c_0_14])). 0.13/0.39 thf(c_0_35, plain, ![X34:mworld, X35:mworld]:((((mrel @ '#c' @ X35 @ (esk2_1 @ X35))|~(mrel @ '#u' @ mactual @ X35)|(~(mrel @ '#c' @ mactual @ X34)|(called @ X34)))&(~(called @ (esk2_1 @ X35))|~(mrel @ '#u' @ mactual @ X35)|(~(mrel @ '#c' @ mactual @ X34)|(called @ X34))))), inference(distribute,[status(thm)],[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_31])])])])])])). 0.13/0.39 thf(c_0_36, negated_conjecture, ~((paid @ mactual)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_26]), c_0_33])). 0.13/0.39 thf(c_0_37, negated_conjecture, ((paid @ mactual)|~((called @ mactual))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.13/0.39 thf(c_0_38, plain, ![X38:mworld, X39:mworld]:((~(mrel @ '#u' @ mactual @ X38)|(~(called @ X38)|(~(mrel @ '#c' @ X38 @ X39)|(called @ X39))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])])). 0.13/0.39 thf(c_0_39, plain, ![X3:mworld, X6:mworld]:(((mrel @ '#c' @ X3 @ (esk2_1 @ X3))|(called @ X6)|~((mrel @ '#u' @ mactual @ X3))|~((mrel @ '#c' @ mactual @ X6)))), inference(split_conjunct,[status(thm)],[c_0_35])). 0.13/0.39 thf(c_0_40, negated_conjecture, ~((called @ mactual)), inference(spm,[status(thm)],[c_0_36, c_0_37])). 0.13/0.39 thf(c_0_41, plain, ![X3:mworld, X6:mworld]:(((called @ X6)|~((called @ (esk2_1 @ X3)))|~((mrel @ '#u' @ mactual @ X3))|~((mrel @ '#c' @ mactual @ X6)))), inference(split_conjunct,[status(thm)],[c_0_35])). 0.13/0.39 thf(c_0_42, plain, ![X3:mworld, X6:mworld]:(((called @ X6)|~((mrel @ '#u' @ mactual @ X3))|~((called @ X3))|~((mrel @ '#c' @ X3 @ X6)))), inference(split_conjunct,[status(thm)],[c_0_38])). 0.13/0.39 thf(c_0_43, plain, ![X3:mworld]:(((mrel @ '#c' @ X3 @ (esk2_1 @ X3))|~((mrel @ '#u' @ mactual @ X3)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_28]), c_0_40])). 0.13/0.39 thf(c_0_44, plain, ![X3:mworld]:(((called @ mactual)|~((mrel @ '#u' @ mactual @ X3))|~((called @ (esk2_1 @ X3))))), inference(spm,[status(thm)],[c_0_41, c_0_28])). 0.13/0.39 thf(c_0_45, plain, ![X3:mworld]:(((called @ (esk2_1 @ X3))|~((mrel @ '#u' @ mactual @ X3))|~((called @ X3)))), inference(spm,[status(thm)],[c_0_42, c_0_43])). 0.13/0.39 thf(c_0_46, negated_conjecture, ((called @ esk1_0)|~((charge @ esk1_0))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.13/0.39 thf(c_0_47, plain, ![X3:mworld]:((~((mrel @ '#u' @ mactual @ X3))|~((called @ X3)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_40])). 0.13/0.39 thf(c_0_48, negated_conjecture, (called @ esk1_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_30])])). 0.13/0.39 thf(c_0_49, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_26]), c_0_48])]), ['proof']). 0.13/0.39 # SZS output end CNFRefutation 0.13/0.39 # Parsed axioms : 36 0.13/0.39 # Removed by relevancy pruning/SinE : 0 0.13/0.39 # Initial clauses : 35 0.13/0.39 # Removed in clause preprocessing : 17 0.13/0.39 # Initial clauses in saturation : 18 0.13/0.39 # Processed clauses : 59 0.13/0.39 # ...of these trivial : 0 0.13/0.39 # ...subsumed : 1 0.13/0.39 # ...remaining for further processing : 58 0.13/0.39 # Other redundant clauses eliminated : 0 0.13/0.39 # Clauses deleted for lack of memory : 0 0.13/0.39 # Backward-subsumed : 9 0.13/0.39 # Backward-rewritten : 2 0.13/0.39 # Generated clauses : 41 0.13/0.39 # ...of the previous two non-redundant : 32 0.13/0.39 # ...aggressively subsumed : 0 0.13/0.39 # Contextual simplify-reflections : 0 0.13/0.39 # Paramodulations : 41 0.13/0.39 # Factorizations : 0 0.13/0.39 # NegExts : 0 0.13/0.39 # Equation resolutions : 0 0.13/0.39 # Disequality decompositions : 0 0.13/0.39 # Total rewrite steps : 13 0.13/0.39 # ...of those cached : 7 0.13/0.39 # Propositional unsat checks : 0 0.13/0.39 # Propositional check models : 0 0.13/0.39 # Propositional check unsatisfiable : 0 0.13/0.39 # Propositional clauses : 0 0.13/0.39 # Propositional clauses after purity: 0 0.13/0.39 # Propositional unsat core size : 0 0.13/0.39 # Propositional preprocessing time : 0.000 0.13/0.39 # Propositional encoding time : 0.000 0.13/0.39 # Propositional solver time : 0.000 0.13/0.39 # Success case prop preproc time : 0.000 0.13/0.39 # Success case prop encoding time : 0.000 0.13/0.39 # Success case prop solver time : 0.000 0.13/0.39 # Current number of processed clauses : 29 0.13/0.39 # Positive orientable unit clauses : 8 0.13/0.39 # Positive unorientable unit clauses: 0 0.13/0.39 # Negative unit clauses : 3 0.13/0.39 # Non-unit-clauses : 18 0.13/0.39 # Current number of unprocessed clauses: 6 0.13/0.39 # ...number of literals in the above : 17 0.13/0.39 # Current number of archived formulas : 0 0.13/0.39 # Current number of archived clauses : 29 0.13/0.39 # Clause-clause subsumption calls (NU) : 46 0.13/0.39 # Rec. Clause-clause subsumption calls : 40 0.13/0.39 # Non-unit clause-clause subsumptions : 7 0.13/0.39 # Unit Clause-clause subsumption calls : 16 0.13/0.39 # Rewrite failures with RHS unbound : 0 0.13/0.39 # BW rewrite match attempts : 4 0.13/0.39 # BW rewrite match successes : 1 0.13/0.39 # Condensation attempts : 59 0.13/0.39 # Condensation successes : 0 0.13/0.39 # Termbank termtop insertions : 3487 0.13/0.39 # Search garbage collected termcells : 832 0.13/0.39 0.13/0.39 # ------------------------------------------------- 0.13/0.39 # User time : 0.006 s 0.13/0.39 # System time : 0.001 s 0.13/0.39 # Total time : 0.007 s 0.13/0.39 # Maximum resident set size: 1908 pages 0.13/0.39 0.13/0.39 # ------------------------------------------------- 0.13/0.39 # User time : 0.007 s 0.13/0.39 # System time : 0.002 s 0.13/0.39 # Total time : 0.009 s 0.13/0.39 # Maximum resident set size: 1780 pages 0.13/0.39 % E---3.1 exiting 0.13/0.39 % E exiting 0.13/0.39 EOF