0.00/0.02 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.08/0.36 % Computer : n027.cluster.edu 0.08/0.36 % Model : x86_64 x86_64 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.36 % Memory : 8046.5625MB 0.08/0.36 % OS : Linux 6.8.0-71-generic 0.08/0.36 % CPULimit : 1440 0.08/0.36 % WCLimit : 180 0.08/0.36 % DateTime : Mon Jul 27 12:32:52 UTC 2026 0.08/0.37 % CPUTime : 0.08/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.08/0.41 Running higher-order theorem proving 0.08/0.43 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.NKXQ8zcteB/E---3.1_2999687.p 38.80/6.28 % Version: 3.5.1-ho 38.80/6.28 % partial match(1): HSSSSLSSSLMNHSA 38.80/6.28 % Preprocessing class: HSSSSLSSMLMNHSA. 38.80/6.28 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 38.80/6.28 % Starting new_ho_10 with 900s (5) cores 38.80/6.28 % Starting new_ho_7 with 180s (1) cores 38.80/6.28 % Starting lpo8_lambda_fix with 180s (1) cores 38.80/6.28 % Starting lpo9_lambda_fix with 180s (1) cores 38.80/6.28 % new_ho_10 with pid 2999700 completed with status 0 38.80/6.28 % Result found by new_ho_10 38.80/6.28 % partial match(1): HSSSSLSSSLMNHSA 38.80/6.28 % Preprocessing class: HSSSSLSSMLMNHSA. 38.80/6.28 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 38.80/6.28 % Starting new_ho_10 with 900s (5) cores 38.80/6.28 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 38.80/6.28 % No SInE strategy applied 38.80/6.28 % Search class: HGHSF-FFSF22-SHSSMSBN 38.80/6.28 % partial match(2): HGHNF-FFSF22-SHSSMMBN 38.80/6.28 % Scheduled 5 strats onto 5 cores with 900 seconds (900 total) 38.80/6.28 % Starting SubtermCWHack with 91s (1) cores 38.80/6.28 % Starting new_ho_10 with 541s (1) cores 38.80/6.28 % Starting sh5l with 91s (1) cores 38.80/6.28 % Starting new_bool_1 with 91s (1) cores 38.80/6.28 % Starting new_bool_2 with 86s (1) cores 38.80/6.28 % sh5l with pid 2999709 completed with status 0 38.80/6.28 % Result found by sh5l 38.80/6.28 % partial match(1): HSSSSLSSSLMNHSA 38.80/6.28 % Preprocessing class: HSSSSLSSMLMNHSA. 38.80/6.28 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 38.80/6.28 % Starting new_ho_10 with 900s (5) cores 38.80/6.28 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 38.80/6.28 % No SInE strategy applied 38.80/6.28 % Search class: HGHSF-FFSF22-SHSSMSBN 38.80/6.28 % partial match(2): HGHNF-FFSF22-SHSSMMBN 38.80/6.28 % Scheduled 5 strats onto 5 cores with 900 seconds (900 total) 38.80/6.28 % Starting SubtermCWHack with 91s (1) cores 38.80/6.28 % Starting new_ho_10 with 541s (1) cores 38.80/6.28 % Starting sh5l with 91s (1) cores 38.80/6.28 % Preprocessing time : 0.001 s 38.80/6.28 % Presaturation interreduction done 38.80/6.28 38.80/6.28 % Proof found! 38.80/6.28 % SZS status Theorem 38.80/6.28 % SZS output start CNFRefutation 38.80/6.28 thf(decl_23, type, in: $i > $i > $o). 38.80/6.28 thf(decl_24, type, emptyset: $i). 38.80/6.28 thf(decl_25, type, setadjoin: $i > $i > $i). 38.80/6.28 thf(decl_26, type, dsetconstr: $i > ($i > $o) > $i). 38.80/6.28 thf(decl_27, type, dsetconstrI: $o). 38.80/6.28 thf(decl_28, type, dsetconstrEL: $o). 38.80/6.28 thf(decl_29, type, dsetconstrER: $o). 38.80/6.28 thf(decl_30, type, setext: $o). 38.80/6.28 thf(decl_31, type, uniqinunit: $o). 38.80/6.28 thf(decl_32, type, eqinunit: $o). 38.80/6.28 thf(decl_33, type, singleton: $i > $o). 38.80/6.28 thf(decl_34, type, ex1: $i > ($i > $o) > $o). 38.80/6.28 thf(decl_35, type, esk1_2: $i > $i > $i). 38.80/6.28 thf(decl_36, type, esk2_2: $i > $i > $i). 38.80/6.28 thf(decl_37, type, esk3_0: $i). 38.80/6.28 thf(decl_38, type, epred1_0: $i > $o). 38.80/6.28 thf(decl_39, type, esk4_0: $i). 38.80/6.28 thf(ex1, axiom, ((ex1)=(^[X1:$i, X2:$i > $o]:((singleton @ (dsetconstr @ X1 @ (^[X3:$i]:((X2 @ X3)))))))), file('/export/starexec/sandbox/tmp/tmp.NKXQ8zcteB/E---3.1_2999687.p', ex1)). 38.80/6.28 thf(singleton, axiom, ((singleton)=(^[X1:$i]:(?[X3:$i]:((((in @ X3 @ X1))&(((X1)=(setadjoin @ X3 @ emptyset)))))))), file('/export/starexec/sandbox/tmp/tmp.NKXQ8zcteB/E---3.1_2999687.p', singleton)). 38.80/6.28 thf(ex1I, conjecture, (((dsetconstrEL)=>(((setext)=>((uniqinunit)=>(![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ X1)=>((X2 @ X3)=>(![X4:$i]:(((in @ X4 @ X1)=>((X2 @ X4)=>((X4)=(X3)))))=>(ex1 @ X1 @ (^[X4:$i]:((X2 @ X4))))))))<=(eqinunit))))<=(dsetconstrER)))<=(dsetconstrI)), file('/export/starexec/sandbox/tmp/tmp.NKXQ8zcteB/E---3.1_2999687.p', ex1I)). 38.80/6.28 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ X1)=>((X2 @ X3)=>(in @ X3 @ (dsetconstr @ X1 @ (^[X4:$i]:((X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.NKXQ8zcteB/E---3.1_2999687.p', dsetconstrI)). 38.80/6.28 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ (dsetconstr @ X1 @ (^[X4:$i]:((X2 @ X4)))))=>(in @ X3 @ X1)))), file('/export/starexec/sandbox/tmp/tmp.NKXQ8zcteB/E---3.1_2999687.p', dsetconstrEL)). 38.80/6.28 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ (dsetconstr @ X1 @ (^[X4:$i]:((X2 @ X4)))))=>(X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.NKXQ8zcteB/E---3.1_2999687.p', dsetconstrER)). 38.80/6.28 thf(setext, axiom, ((setext)<=>![X1:$i, X5:$i]:((![X3:$i]:(((in @ X3 @ X1)=>(in @ X3 @ X5)))=>(![X3:$i]:(((in @ X3 @ X5)=>(in @ X3 @ X1)))=>((X1)=(X5)))))), file('/export/starexec/sandbox/tmp/tmp.NKXQ8zcteB/E---3.1_2999687.p', setext)). 38.80/6.28 thf(uniqinunit, axiom, ((uniqinunit)<=>![X3:$i, X4:$i]:(((in @ X3 @ (setadjoin @ X4 @ emptyset))=>((X3)=(X4))))), file('/export/starexec/sandbox/tmp/tmp.NKXQ8zcteB/E---3.1_2999687.p', uniqinunit)). 38.80/6.28 thf(eqinunit, axiom, ((eqinunit)<=>![X3:$i, X4:$i]:((((X3)=(X4))=>(in @ X3 @ (setadjoin @ X4 @ emptyset))))), file('/export/starexec/sandbox/tmp/tmp.NKXQ8zcteB/E---3.1_2999687.p', eqinunit)). 38.80/6.28 thf(c_0_9, plain, ((ex1)=(^[Z0:$i, Z1:$i > $o]:((?[X27:$i]:((((in @ X27 @ (dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))))&(((dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))=(setadjoin @ X27 @ emptyset))))))))), inference(fof_simplification,[status(thm)],[ex1])). 38.80/6.28 thf(c_0_10, plain, ((singleton)=(^[Z0:$i]:(?[X3:$i]:((((in @ X3 @ Z0))&(((Z0)=(setadjoin @ X3 @ emptyset)))))))), inference(fof_simplification,[status(thm)],[singleton])). 38.80/6.28 thf(c_0_11, negated_conjecture, ~((((dsetconstrEL)=>(((setext)=>((uniqinunit)=>(![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ X1)=>((X2 @ X3)=>(![X4:$i]:(((in @ X4 @ X1)=>((X2 @ X4)=>((X4)=(X3)))))=>(ex1 @ X1 @ (^[X4:$i]:((X2 @ X4))))))))<=(eqinunit))))<=(dsetconstrER)))<=(dsetconstrI))), inference(assume_negation,[status(cth)],[ex1I])). 38.80/6.28 thf(c_0_12, plain, ((dsetconstrI)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ X1)=>((X2 @ X3)=>(in @ X3 @ (dsetconstr @ X1 @ (^[Z0:$i]:((X2 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 38.80/6.28 thf(c_0_13, plain, ((dsetconstrEL)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ (dsetconstr @ X1 @ (^[Z0:$i]:((X2 @ Z0)))))=>(in @ X3 @ X1)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 38.80/6.28 thf(c_0_14, plain, ((dsetconstrER)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ (dsetconstr @ X1 @ (^[Z0:$i]:((X2 @ Z0)))))=>(X2 @ X3)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 38.80/6.28 thf(c_0_15, plain, ((ex1)=(^[Z0:$i, Z1:$i > $o]:((?[X27:$i]:((((in @ X27 @ (dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))))&(((dsetconstr @ Z0 @ (^[Z2:$i]:((Z1 @ Z2))))=(setadjoin @ X27 @ emptyset))))))))), inference(apply_def,[status(thm)],[c_0_9, c_0_10])). 38.80/6.28 thf(c_0_16, negated_conjecture, ~((![X43:$i, X44:$i > $o, X45:$i]:(((in @ X45 @ X43)=>((X44 @ X45)=>(in @ X45 @ (dsetconstr @ X43 @ X44)))))=>(![X28:$i, X29:$i > $o, X30:$i]:(((in @ X30 @ (dsetconstr @ X28 @ X29))=>(in @ X30 @ X28)))=>(![X40:$i, X41:$i > $o, X42:$i]:(((in @ X42 @ (dsetconstr @ X40 @ X41))=>(X41 @ X42)))=>(![X31:$i, X32:$i]:((![X33:$i]:(((in @ X33 @ X31)=>(in @ X33 @ X32)))=>(![X34:$i]:(((in @ X34 @ X32)=>(in @ X34 @ X31)))=>((X31)=(X32)))))=>(![X35:$i, X36:$i]:(((in @ X35 @ (setadjoin @ X36 @ emptyset))=>((X35)=(X36))))=>(![X38:$i, X39:$i]:((((X38)=(X39))=>(in @ X38 @ (setadjoin @ X39 @ emptyset))))=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ X1)=>((X2 @ X3)=>(![X4:$i]:(((in @ X4 @ X1)=>((X2 @ X4)=>((X4)=(X3)))))=>?[X37:$i]:(((in @ X37 @ (dsetconstr @ X1 @ X2))&((dsetconstr @ X1 @ X2)=(setadjoin @ X37 @ emptyset))))))))))))))), inference(fof_simplification,[status(thm)],[inference(fool_unroll,[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(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_11]), c_0_12]), c_0_13]), c_0_14]), setext]), uniqinunit]), eqinunit]), c_0_15])])])). 38.80/6.28 thf(c_0_17, negated_conjecture, ![X46:$i, X47:$i > $o, X48:$i, X49:$i, X50:$i > $o, X51:$i, X52:$i, X53:$i > $o, X54:$i, X55:$i, X56:$i, X59:$i, X60:$i, X61:$i, X62:$i, X66:$i, X67:$i]:(((~(in @ X48 @ X46)|(~(X47 @ X48)|(in @ X48 @ (dsetconstr @ X46 @ X47))))&((~(in @ X51 @ (dsetconstr @ X49 @ X50))|(in @ X51 @ X49))&((~(in @ X54 @ (dsetconstr @ X52 @ X53))|(X53 @ X54))&(((((in @ (esk2_2 @ X55 @ X56) @ X56)|((X55)=(X56))|(in @ (esk1_2 @ X55 @ X56) @ X55))&(~(in @ (esk2_2 @ X55 @ X56) @ X55)|((X55)=(X56))|(in @ (esk1_2 @ X55 @ X56) @ X55)))&(((in @ (esk2_2 @ X55 @ X56) @ X56)|((X55)=(X56))|~(in @ (esk1_2 @ X55 @ X56) @ X56))&(~(in @ (esk2_2 @ X55 @ X56) @ X55)|((X55)=(X56))|~(in @ (esk1_2 @ X55 @ X56) @ X56))))&((~(in @ X59 @ (setadjoin @ X60 @ emptyset))|((X59)=(X60)))&((((X61)!=(X62))|(in @ X61 @ (setadjoin @ X62 @ emptyset)))&((in @ esk4_0 @ esk3_0)&((epred1_0 @ esk4_0)&((~(in @ X66 @ esk3_0)|(~(epred1_0 @ X66)|((X66)=(esk4_0))))&(~(in @ X67 @ (dsetconstr @ esk3_0 @ epred1_0))|((dsetconstr @ esk3_0 @ epred1_0)!=(setadjoin @ X67 @ emptyset))))))))))))), 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_16])])])])])])). 38.80/6.28 thf(c_0_18, negated_conjecture, ![X1:$i, X3:$i]:((((X1)=(X3))|~((in @ X1 @ (setadjoin @ X3 @ emptyset))))), inference(split_conjunct,[status(thm)],[c_0_17])). 38.80/6.28 thf(c_0_19, negated_conjecture, ![X3:$i, X1:$i]:(((in @ (esk2_2 @ X1 @ X3) @ X3)|((X1)=(X3))|(in @ (esk1_2 @ X1 @ X3) @ X1))), inference(split_conjunct,[status(thm)],[c_0_17])). 38.80/6.28 thf(c_0_20, negated_conjecture, ![X1:$i, X3:$i, X2:$i > $o]:(((X2 @ X1)|~((in @ X1 @ (dsetconstr @ X3 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_17])). 38.80/6.28 thf(c_0_21, negated_conjecture, ![X3:$i, X1:$i]:((((esk2_2 @ X1 @ (setadjoin @ X3 @ emptyset))=(X3))|((X1)=(setadjoin @ X3 @ emptyset))|(in @ (esk1_2 @ X1 @ (setadjoin @ X3 @ emptyset)) @ X1))), inference(spm,[status(thm)],[c_0_18, c_0_19])). 38.80/6.28 thf(c_0_22, negated_conjecture, ![X1:$i, X3:$i, X2:$i > $o]:(((in @ X1 @ X3)|~((in @ X1 @ (dsetconstr @ X3 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_17])). 38.80/6.28 thf(c_0_23, negated_conjecture, ![X3:$i, X1:$i]:((((X1)=(X3))|(in @ (esk1_2 @ X1 @ X3) @ X1)|~((in @ (esk2_2 @ X1 @ X3) @ X1)))), inference(split_conjunct,[status(thm)],[c_0_17])). 38.80/6.28 thf(c_0_24, negated_conjecture, ![X1:$i, X2:$i > $o, X3:$i]:((((esk2_2 @ (dsetconstr @ X1 @ X2) @ (setadjoin @ X3 @ emptyset))=(X3))|((dsetconstr @ X1 @ X2)=(setadjoin @ X3 @ emptyset))|(X2 @ (esk1_2 @ (dsetconstr @ X1 @ X2) @ (setadjoin @ X3 @ emptyset))))), inference(spm,[status(thm)],[c_0_20, c_0_21])). 38.80/6.28 thf(c_0_25, negated_conjecture, ![X3:$i, X2:$i > $o, X1:$i]:(((in @ X1 @ (dsetconstr @ X3 @ X2))|~((in @ X1 @ X3))|~((X2 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_17])). 38.80/6.28 thf(c_0_26, negated_conjecture, (epred1_0 @ esk4_0), inference(split_conjunct,[status(thm)],[c_0_17])). 38.80/6.28 thf(c_0_27, negated_conjecture, ![X1:$i]:((((X1)=(esk4_0))|~((in @ X1 @ esk3_0))|~((epred1_0 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_17])). 38.80/6.28 thf(c_0_28, negated_conjecture, ![X3:$i, X2:$i > $o, X1:$i]:((((esk2_2 @ (dsetconstr @ X1 @ X2) @ (setadjoin @ X3 @ emptyset))=(X3))|((dsetconstr @ X1 @ X2)=(setadjoin @ X3 @ emptyset))|(in @ (esk1_2 @ (dsetconstr @ X1 @ X2) @ (setadjoin @ X3 @ emptyset)) @ X1))), inference(spm,[status(thm)],[c_0_22, c_0_21])). 38.80/6.28 thf(c_0_29, negated_conjecture, ![X1:$i, X3:$i, X2:$i > $o]:((((dsetconstr @ X1 @ X2)=(setadjoin @ X3 @ emptyset))|(X2 @ (esk1_2 @ (dsetconstr @ X1 @ X2) @ (setadjoin @ X3 @ emptyset)))|~((in @ X3 @ (dsetconstr @ X1 @ X2))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_24]), c_0_20])). 38.80/6.28 thf(c_0_30, negated_conjecture, ![X1:$i]:(((in @ esk4_0 @ (dsetconstr @ X1 @ epred1_0))|~((in @ esk4_0 @ X1)))), inference(spm,[status(thm)],[c_0_25, c_0_26])). 38.80/6.28 thf(c_0_31, negated_conjecture, ![X2:$i > $o, X1:$i]:((((esk1_2 @ (dsetconstr @ esk3_0 @ X2) @ (setadjoin @ X1 @ emptyset))=(esk4_0))|((esk2_2 @ (dsetconstr @ esk3_0 @ X2) @ (setadjoin @ X1 @ emptyset))=(X1))|((dsetconstr @ esk3_0 @ X2)=(setadjoin @ X1 @ emptyset))|~((epred1_0 @ (esk1_2 @ (dsetconstr @ esk3_0 @ X2) @ (setadjoin @ X1 @ emptyset)))))), inference(spm,[status(thm)],[c_0_27, c_0_28])). 38.80/6.28 thf(c_0_32, negated_conjecture, ![X1:$i]:((((dsetconstr @ X1 @ epred1_0)=(setadjoin @ esk4_0 @ emptyset))|(epred1_0 @ (esk1_2 @ (dsetconstr @ X1 @ epred1_0) @ (setadjoin @ esk4_0 @ emptyset)))|~((in @ esk4_0 @ X1)))), inference(spm,[status(thm)],[c_0_29, c_0_30])). 38.80/6.28 thf(c_0_33, negated_conjecture, (in @ esk4_0 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_17])). 38.80/6.28 thf(c_0_34, negated_conjecture, (((esk2_2 @ (dsetconstr @ esk3_0 @ epred1_0) @ (setadjoin @ esk4_0 @ emptyset))=(esk4_0))|((esk1_2 @ (dsetconstr @ esk3_0 @ epred1_0) @ (setadjoin @ esk4_0 @ emptyset))=(esk4_0))|((setadjoin @ esk4_0 @ emptyset)=(dsetconstr @ esk3_0 @ epred1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_32]), c_0_33])])). 38.80/6.28 thf(c_0_35, negated_conjecture, ![X1:$i]:((~((in @ X1 @ (dsetconstr @ esk3_0 @ epred1_0)))|((dsetconstr @ esk3_0 @ epred1_0)!=(setadjoin @ X1 @ emptyset)))), inference(split_conjunct,[status(thm)],[c_0_17])). 38.80/6.28 thf(c_0_36, negated_conjecture, (((esk1_2 @ (dsetconstr @ esk3_0 @ epred1_0) @ (setadjoin @ esk4_0 @ emptyset))=(esk4_0))|(in @ (esk1_2 @ (dsetconstr @ esk3_0 @ epred1_0) @ (setadjoin @ esk4_0 @ emptyset)) @ (dsetconstr @ esk3_0 @ epred1_0))|~((in @ esk4_0 @ (dsetconstr @ esk3_0 @ epred1_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23, c_0_34]), c_0_35])). 38.80/6.28 thf(c_0_37, negated_conjecture, (((esk1_2 @ (dsetconstr @ esk3_0 @ epred1_0) @ (setadjoin @ esk4_0 @ emptyset))=(esk4_0))|(in @ (esk1_2 @ (dsetconstr @ esk3_0 @ epred1_0) @ (setadjoin @ esk4_0 @ emptyset)) @ esk3_0)|~((in @ esk4_0 @ (dsetconstr @ esk3_0 @ epred1_0)))), inference(spm,[status(thm)],[c_0_22, c_0_36])). 38.80/6.28 thf(c_0_38, negated_conjecture, (((esk1_2 @ (dsetconstr @ esk3_0 @ epred1_0) @ (setadjoin @ esk4_0 @ emptyset))=(esk4_0))|(epred1_0 @ (esk1_2 @ (dsetconstr @ esk3_0 @ epred1_0) @ (setadjoin @ esk4_0 @ emptyset)))|~((in @ esk4_0 @ (dsetconstr @ esk3_0 @ epred1_0)))), inference(spm,[status(thm)],[c_0_20, c_0_36])). 38.80/6.28 thf(c_0_39, negated_conjecture, ![X1:$i, X3:$i]:(((in @ X1 @ (setadjoin @ X3 @ emptyset))|((X1)!=(X3)))), inference(split_conjunct,[status(thm)],[c_0_17])). 38.80/6.28 thf(c_0_40, negated_conjecture, ![X1:$i, X3:$i]:(((in @ (esk2_2 @ X1 @ X3) @ X3)|((X1)=(X3))|~((in @ (esk1_2 @ X1 @ X3) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_17])). 38.80/6.28 thf(c_0_41, negated_conjecture, ![X1:$i, X3:$i]:((((X1)=(X3))|~((in @ (esk2_2 @ X1 @ X3) @ X1))|~((in @ (esk1_2 @ X1 @ X3) @ X3)))), inference(split_conjunct,[status(thm)],[c_0_17])). 38.80/6.28 thf(c_0_42, negated_conjecture, (((esk1_2 @ (dsetconstr @ esk3_0 @ epred1_0) @ (setadjoin @ esk4_0 @ emptyset))=(esk4_0))|~((in @ esk4_0 @ (dsetconstr @ esk3_0 @ epred1_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_37]), c_0_38])). 38.80/6.28 thf(c_0_43, negated_conjecture, ![X1:$i]:((in @ X1 @ (setadjoin @ X1 @ emptyset))), inference(er,[status(thm)],[c_0_39])). 38.80/6.28 thf(c_0_44, negated_conjecture, ![X1:$i, X3:$i]:((((esk2_2 @ X1 @ (setadjoin @ X3 @ emptyset))=(X3))|((X1)=(setadjoin @ X3 @ emptyset))|~((in @ (esk1_2 @ X1 @ (setadjoin @ X3 @ emptyset)) @ (setadjoin @ X3 @ emptyset))))), inference(spm,[status(thm)],[c_0_18, c_0_40])). 38.80/6.28 thf(c_0_45, negated_conjecture, (~((in @ (esk2_2 @ (dsetconstr @ esk3_0 @ epred1_0) @ (setadjoin @ esk4_0 @ emptyset)) @ (dsetconstr @ esk3_0 @ epred1_0)))|~((in @ esk4_0 @ (dsetconstr @ esk3_0 @ epred1_0)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_43])]), c_0_35])). 38.80/6.28 thf(c_0_46, negated_conjecture, (((esk2_2 @ (dsetconstr @ esk3_0 @ epred1_0) @ (setadjoin @ esk4_0 @ emptyset))=(esk4_0))|~((in @ esk4_0 @ (dsetconstr @ esk3_0 @ epred1_0)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_42]), c_0_43])]), c_0_35])). 38.80/6.28 thf(c_0_47, negated_conjecture, ~((in @ esk4_0 @ (dsetconstr @ esk3_0 @ epred1_0))), inference(spm,[status(thm)],[c_0_45, c_0_46])). 38.80/6.28 thf(c_0_48, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47, c_0_30]), c_0_33])]), ['proof']). 38.80/6.28 % SZS output end CNFRefutation 38.80/6.28 % Parsed axioms : 21 38.80/6.28 % Removed by relevancy pruning/SinE : 0 38.80/6.28 % Initial clauses : 25 38.80/6.28 % Removed in clause preprocessing : 12 38.80/6.28 % Initial clauses in saturation : 13 38.80/6.28 % Processed clauses : 6337 38.80/6.28 % ...of these trivial : 0 38.80/6.28 % ...subsumed : 4586 38.80/6.28 % ...remaining for further processing : 1751 38.80/6.28 % Other redundant clauses eliminated : 1 38.80/6.28 % Clauses deleted for lack of memory : 0 38.80/6.28 % Backward-subsumed : 249 38.80/6.28 % Backward-rewritten : 0 38.80/6.28 % Generated clauses : 130841 38.80/6.28 % ...of the previous two non-redundant : 126965 38.80/6.28 % ...aggressively subsumed : 0 38.80/6.28 % Contextual simplify-reflections : 94 38.80/6.28 % Paramodulations : 130640 38.80/6.28 % Factorizations : 0 38.80/6.28 % NegExts : 0 38.80/6.28 % Equation resolutions : 1 38.80/6.28 % Disequality decompositions : 0 38.80/6.28 % Total rewrite steps : 2625 38.80/6.28 % ...of those cached : 2579 38.80/6.28 % Propositional unsat checks : 0 38.80/6.28 % Propositional check models : 0 38.80/6.28 % Propositional check unsatisfiable : 0 38.80/6.28 % Propositional clauses : 0 38.80/6.28 % Propositional clauses after purity: 0 38.80/6.28 % Propositional unsat core size : 0 38.80/6.28 % Propositional preprocessing time : 0.000 38.80/6.28 % Propositional encoding time : 0.000 38.80/6.28 % Propositional solver time : 0.000 38.80/6.28 % Success case prop preproc time : 0.000 38.80/6.28 % Success case prop encoding time : 0.000 38.80/6.28 % Success case prop solver time : 0.000 38.80/6.28 % Current number of processed clauses : 1288 38.80/6.28 % Positive orientable unit clauses : 3 38.80/6.28 % Positive unorientable unit clauses: 0 38.80/6.28 % Negative unit clauses : 1 38.80/6.28 % Non-unit-clauses : 1284 38.80/6.28 % Current number of unprocessed clauses: 119820 38.80/6.28 % ...number of literals in the above : 834842 38.80/6.28 % Current number of archived formulas : 0 38.80/6.28 % Current number of archived clauses : 462 38.80/6.28 % Clause-clause subsumption calls (NU) : 562120 38.80/6.28 % Rec. Clause-clause subsumption calls : 46856 38.80/6.28 % Non-unit clause-clause subsumptions : 4997 38.80/6.28 % Unit Clause-clause subsumption calls : 49 38.80/6.28 % Rewrite failures with RHS unbound : 0 38.80/6.28 % BW rewrite match attempts : 1 38.80/6.28 % BW rewrite match successes : 0 38.80/6.28 % Condensation attempts : 6337 38.80/6.28 % Condensation successes : 71 38.80/6.28 % Termbank termtop insertions : 26695723 38.80/6.28 % Search garbage collected termcells : 797 38.80/6.28 38.80/6.28 % ------------------------------------------------- 38.80/6.28 % User time : 5.208 s 38.80/6.28 % System time : 0.099 s 38.80/6.28 % Total time : 5.307 s 38.80/6.28 % Maximum resident set size: 3648 pages 38.80/6.28 38.80/6.28 % ------------------------------------------------- 38.80/6.28 % User time : 27.351 s 38.80/6.28 % System time : 0.627 s 38.80/6.28 % Total time : 27.978 s 38.80/6.28 % Maximum resident set size: 4608 pages 38.80/6.28 % E exiting 38.80/6.28 EOF