0.10/0.16 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.16 % Command : run_E %s %d THM 0.14/0.37 % Computer : n028.cluster.edu 0.14/0.37 % Model : x86_64 x86_64 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.37 % Memory : 8042.1875MB 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.37 % CPULimit : 1440 0.14/0.37 % WCLimit : 180 0.14/0.37 % DateTime : Thu Jul 4 10:49:38 EDT 2024 0.14/0.37 % CPUTime : 0.23/0.54 Running higher-order theorem proving 0.23/0.55 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.Dqkn9ZDpSc/E---3.1_19751.p 1.95/0.79 # Version: 3.2.0-ho 1.95/0.79 # partial match(2): HSMSSMSSMLMNHSN 1.95/0.79 # Preprocessing class: HSMSSLSSMLMNHSA. 1.95/0.79 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 1.95/0.79 # Starting ho_unfolding_3 with 900s (5) cores 1.95/0.79 # Starting ehoh_best2_full_lfho with 180s (1) cores 1.95/0.79 # Starting almost_fo_3_lam with 180s (1) cores 1.95/0.79 # Starting post_as_ho1 with 180s (1) cores 1.95/0.79 # ho_unfolding_3 with pid 19830 completed with status 0 1.95/0.79 # Result found by ho_unfolding_3 1.95/0.79 # partial match(2): HSMSSMSSMLMNHSN 1.95/0.79 # Preprocessing class: HSMSSLSSMLMNHSA. 1.95/0.79 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 1.95/0.79 # Starting ho_unfolding_3 with 900s (5) cores 1.95/0.79 # No SInE strategy applied 1.95/0.79 # Search class: HGHSF-FFMS31-SHSSMSBN 1.95/0.79 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 1.95/0.79 # Starting sh2 with 487s (1) cores 1.95/0.79 # Starting ho_unfolding_3 with 91s (1) cores 1.95/0.79 # Starting ehoh_best with 82s (1) cores 1.95/0.79 # Starting sh6 with 82s (1) cores 1.95/0.79 # Starting sh5l with 82s (1) cores 1.95/0.79 # sh2 with pid 19835 completed with status 0 1.95/0.79 # Result found by sh2 1.95/0.79 # partial match(2): HSMSSMSSMLMNHSN 1.95/0.79 # Preprocessing class: HSMSSLSSMLMNHSA. 1.95/0.79 # Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 1.95/0.79 # Starting ho_unfolding_3 with 900s (5) cores 1.95/0.79 # No SInE strategy applied 1.95/0.79 # Search class: HGHSF-FFMS31-SHSSMSBN 1.95/0.79 # Scheduled 6 strats onto 5 cores with 900 seconds (900 total) 1.95/0.79 # Starting sh2 with 487s (1) cores 1.95/0.79 # Preprocessing time : 0.001 s 1.95/0.79 # Presaturation interreduction done 1.95/0.79 1.95/0.79 # Proof found! 1.95/0.79 # SZS status Theorem 1.95/0.79 # SZS output start CNFRefutation 1.95/0.79 thf(decl_22, type, in: $i > $i > $o). 1.95/0.79 thf(decl_23, type, emptyset: $i). 1.95/0.79 thf(decl_24, type, powerset: $i > $i). 1.95/0.79 thf(decl_25, type, dsetconstr: $i > ($i > $o) > $i). 1.95/0.79 thf(decl_26, type, dsetconstrI: $o). 1.95/0.79 thf(decl_27, type, dsetconstrEL: $o). 1.95/0.79 thf(decl_28, type, dsetconstrER: $o). 1.95/0.79 thf(decl_29, type, nonempty: $i > $o). 1.95/0.79 thf(decl_30, type, nonemptyI: $o). 1.95/0.79 thf(decl_31, type, powersetI: $o). 1.95/0.79 thf(decl_32, type, kpair: $i > $i > $i). 1.95/0.79 thf(decl_33, type, singleton: $i > $o). 1.95/0.79 thf(decl_34, type, ex1: $i > ($i > $o) > $o). 1.95/0.79 thf(decl_35, type, ex1I: $o). 1.95/0.79 thf(decl_36, type, breln1Set: $i > $i). 1.95/0.79 thf(decl_37, type, transitive: $i > $i > $o). 1.95/0.79 thf(decl_38, type, antisymmetric: $i > $i > $o). 1.95/0.79 thf(decl_39, type, reflexive: $i > $i > $o). 1.95/0.79 thf(decl_40, type, refllinearorder: $i > $i > $o). 1.95/0.79 thf(decl_41, type, reflwellordering: $i > $i > $o). 1.95/0.79 thf(decl_42, type, epred1_2: $i > $i > $o). 1.95/0.79 thf(decl_43, type, esk1_2: $i > $i > $i). 1.95/0.79 thf(decl_44, type, esk2_3: $i > ($i > $o) > $i > $i). 1.95/0.79 thf(decl_45, type, esk3_0: $i). 1.95/0.79 thf(decl_46, type, esk4_0: $i). 1.95/0.79 thf(decl_47, type, epred2_0: $i > $i > $o). 1.95/0.79 thf(decl_48, type, esk5_1: $i > $i). 1.95/0.79 thf(decl_49, type, esk6_0: $i). 1.95/0.79 thf(decl_50, type, esk7_0: $i). 1.95/0.79 thf(decl_51, type, esk8_3: $i > $i > $i > $i). 1.95/0.79 thf(decl_52, type, epred3_0: $i > $o). 1.95/0.79 thf(decl_53, type, esk9_1: $i > $i). 1.95/0.79 thf(refllinearorder, axiom, ((refllinearorder)=(^[X1:$i, X6:$i]:(((((reflexive @ X1 @ X6)&(transitive @ X1 @ X6))&(antisymmetric @ X1 @ X6))&![X3:$i]:(((in @ X3 @ X1)=>![X4:$i]:(((in @ X4 @ X1)=>((in @ (kpair @ X3 @ X4) @ X6)|(in @ (kpair @ X4 @ X3) @ X6)))))))))), file('/export/starexec/sandbox/tmp/tmp.Dqkn9ZDpSc/E---3.1_19751.p', refllinearorder)). 1.95/0.79 thf(antisymmetric, axiom, ((antisymmetric)=(^[X1:$i, X6:$i]:(![X3:$i]:(((in @ X3 @ X1)=>![X4:$i]:(((in @ X4 @ X1)=>(((in @ (kpair @ X3 @ X4) @ X6)&(in @ (kpair @ X4 @ X3) @ X6))=>((X3)=(X4)))))))))), file('/export/starexec/sandbox/tmp/tmp.Dqkn9ZDpSc/E---3.1_19751.p', antisymmetric)). 1.95/0.79 thf(nonemptyI, axiom, ((nonemptyI)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ X1)=>((X2 @ X3)=>(nonempty @ (dsetconstr @ X1 @ (^[X4:$i]:((X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.Dqkn9ZDpSc/E---3.1_19751.p', nonemptyI)). 1.95/0.79 thf(nonempty, axiom, ((nonempty)=(^[X3:$i]:(((X3)!=(emptyset))))), file('/export/starexec/sandbox/tmp/tmp.Dqkn9ZDpSc/E---3.1_19751.p', nonempty)). 1.95/0.79 thf(ex1I, axiom, ((ex1I)<=>![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))))))))), file('/export/starexec/sandbox/tmp/tmp.Dqkn9ZDpSc/E---3.1_19751.p', ex1I)). 1.95/0.79 thf(ex1, axiom, ((ex1)=(^[X1:$i, X2:$i > $o]:((singleton @ (dsetconstr @ X1 @ (^[X3:$i]:((X2 @ X3)))))))), file('/export/starexec/sandbox/tmp/tmp.Dqkn9ZDpSc/E---3.1_19751.p', ex1)). 1.95/0.79 thf(reflwellordering, axiom, ((reflwellordering)=(^[X1:$i, X6:$i]:(((refllinearorder @ X1 @ X6)&![X7:$i]:(((in @ X7 @ (powerset @ X1))=>((nonempty @ X7)=>?[X3:$i]:(((in @ X3 @ X7)&![X4:$i]:(((in @ X4 @ X7)=>(in @ (kpair @ X3 @ X4) @ X6)))))))))))), file('/export/starexec/sandbox/tmp/tmp.Dqkn9ZDpSc/E---3.1_19751.p', reflwellordering)). 1.95/0.79 thf(dsetconstrI, axiom, ((dsetconstrI)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ X1)=>((X2 @ X3)=>(in @ X3 @ (dsetconstr @ X1 @ (^[X4:$i]:((X2 @ X4))))))))), file('/export/starexec/sandbox/tmp/tmp.Dqkn9ZDpSc/E---3.1_19751.p', dsetconstrI)). 1.95/0.79 thf(dsetconstrEL, axiom, ((dsetconstrEL)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ (dsetconstr @ X1 @ (^[X4:$i]:((X2 @ X4)))))=>(in @ X3 @ X1)))), file('/export/starexec/sandbox/tmp/tmp.Dqkn9ZDpSc/E---3.1_19751.p', dsetconstrEL)). 1.95/0.79 thf(dsetconstrER, axiom, ((dsetconstrER)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ (dsetconstr @ X1 @ (^[X4:$i]:((X2 @ X4)))))=>(X2 @ X3)))), file('/export/starexec/sandbox/tmp/tmp.Dqkn9ZDpSc/E---3.1_19751.p', dsetconstrER)). 1.95/0.79 thf(choice2fnsingleton, conjecture, ((dsetconstrI)=>((((nonemptyI)=>(((ex1I)=>![X1:$i, X5:$i, X8:$i > $i > $o]:((![X3:$i]:((?[X4:$i]:(((in @ X4 @ X5)&(X8 @ X3 @ X4)))<=(in @ X3 @ X1)))=>![X6:$i]:((((reflwellordering @ X5 @ X6)=>![X3:$i]:(((singleton @ (dsetconstr @ X5 @ (^[X4:$i]:(((X8 @ X3 @ X4)&![X9:$i]:((((X8 @ X3 @ X9)=>(in @ (kpair @ X4 @ X9) @ X6))<=(in @ X9 @ X5))))))))<=(in @ X3 @ X1))))<=(in @ X6 @ (breln1Set @ X5)))))))<=(powersetI)))<=(dsetconstrER))<=(dsetconstrEL))), file('/export/starexec/sandbox/tmp/tmp.Dqkn9ZDpSc/E---3.1_19751.p', choice2fnsingleton)). 1.95/0.79 thf(powersetI, axiom, ((powersetI)<=>![X1:$i, X5:$i]:((![X3:$i]:(((in @ X3 @ X5)=>(in @ X3 @ X1)))=>(in @ X5 @ (powerset @ X1))))), file('/export/starexec/sandbox/tmp/tmp.Dqkn9ZDpSc/E---3.1_19751.p', powersetI)). 1.95/0.79 thf(c_0_12, plain, ((refllinearorder)=(^[Z0/* 19 */:$i, Z1:$i]:(((((reflexive @ Z0 @ Z1)&(transitive @ Z0 @ Z1))&(![X36:$i]:(((in @ X36 @ Z0)=>![X37:$i]:(((in @ X37 @ Z0)=>(((in @ (kpair @ X36 @ X37) @ Z1)&(in @ (kpair @ X37 @ X36) @ Z1))=>((X36)=(X37)))))))))&![X3:$i]:(((in @ X3 @ Z0)=>![X4:$i]:(((in @ X4 @ Z0)=>((in @ (kpair @ X3 @ X4) @ Z1)|(in @ (kpair @ X4 @ X3) @ Z1)))))))))), inference(fof_simplification,[status(thm)],[refllinearorder])). 1.95/0.79 thf(c_0_13, plain, ((antisymmetric)=(^[Z0/* 19 */:$i, Z1:$i]:(![X3:$i]:(((in @ X3 @ Z0)=>![X4:$i]:(((in @ X4 @ Z0)=>(((in @ (kpair @ X3 @ X4) @ Z1)&(in @ (kpair @ X4 @ X3) @ Z1))=>((X3)=(X4)))))))))), inference(fof_simplification,[status(thm)],[antisymmetric])). 1.95/0.79 thf(c_0_14, plain, ((nonemptyI)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ X1)=>((X2 @ X3)=>(nonempty @ (dsetconstr @ X1 @ (^[Z0/* 3 */:$i]:((X2 @ Z0))))))))), inference(fof_simplification,[status(thm)],[nonemptyI])). 1.95/0.79 thf(c_0_15, plain, ((nonempty)=(^[Z0/* 4 */:$i]:(((Z0)!=(emptyset))))), inference(fof_simplification,[status(thm)],[nonempty])). 1.95/0.79 thf(c_0_16, plain, ((ex1I)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ X1)=>((X2 @ X3)=>(![X4:$i]:(((in @ X4 @ X1)=>((X2 @ X4)=>((X4)=(X3)))))=>(ex1 @ X1 @ (^[Z0/* 3 */:$i]:((X2 @ Z0))))))))), inference(fof_simplification,[status(thm)],[ex1I])). 1.95/0.79 thf(c_0_17, plain, ((ex1)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((singleton @ (dsetconstr @ Z0 @ (^[Z2/* 3 */:$i]:((Z1 @ Z2)))))))), inference(fof_simplification,[status(thm)],[ex1])). 1.95/0.79 thf(c_0_18, plain, ((reflwellordering)=(^[Z0/* 19 */:$i, Z1:$i]:(((((((reflexive @ Z0 @ Z1)&(transitive @ Z0 @ Z1))&(![X38:$i]:(((in @ X38 @ Z0)=>![X39:$i]:(((in @ X39 @ Z0)=>(((in @ (kpair @ X38 @ X39) @ Z1)&(in @ (kpair @ X39 @ X38) @ Z1))=>((X38)=(X39)))))))))&![X40:$i]:(((in @ X40 @ Z0)=>![X41:$i]:(((in @ X41 @ Z0)=>((in @ (kpair @ X40 @ X41) @ Z1)|(in @ (kpair @ X41 @ X40) @ Z1))))))))&![X7:$i]:(((in @ X7 @ (powerset @ Z0))=>((((X7)!=(emptyset)))=>?[X3:$i]:(((in @ X3 @ X7)&![X4:$i]:(((in @ X4 @ X7)=>(in @ (kpair @ X3 @ X4) @ Z1)))))))))))), inference(fof_simplification,[status(thm)],[reflwellordering])). 1.95/0.79 thf(c_0_19, plain, ((refllinearorder)=(^[Z0/* 19 */:$i, Z1:$i]:(((((reflexive @ Z0 @ Z1)&(transitive @ Z0 @ Z1))&(![X36:$i]:(((in @ X36 @ Z0)=>![X37:$i]:(((in @ X37 @ Z0)=>(((in @ (kpair @ X36 @ X37) @ Z1)&(in @ (kpair @ X37 @ X36) @ Z1))=>((X36)=(X37)))))))))&![X3:$i]:(((in @ X3 @ Z0)=>![X4:$i]:(((in @ X4 @ Z0)=>((in @ (kpair @ X3 @ X4) @ Z1)|(in @ (kpair @ X4 @ X3) @ Z1)))))))))), inference(apply_def,[status(thm)],[c_0_12, c_0_13])). 1.95/0.79 thf(c_0_20, plain, ((dsetconstrI)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ X1)=>((X2 @ X3)=>(in @ X3 @ (dsetconstr @ X1 @ (^[Z0/* 3 */:$i]:((X2 @ Z0))))))))), inference(fof_simplification,[status(thm)],[dsetconstrI])). 1.95/0.79 thf(c_0_21, plain, ((dsetconstrEL)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ (dsetconstr @ X1 @ (^[Z0/* 3 */:$i]:((X2 @ Z0)))))=>(in @ X3 @ X1)))), inference(fof_simplification,[status(thm)],[dsetconstrEL])). 1.95/0.79 thf(c_0_22, plain, ((dsetconstrER)<=>![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ (dsetconstr @ X1 @ (^[Z0/* 3 */:$i]:((X2 @ Z0)))))=>(X2 @ X3)))), inference(fof_simplification,[status(thm)],[dsetconstrER])). 1.95/0.79 thf(c_0_23, plain, ((nonemptyI)=(![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ X1)=>((X2 @ X3)=>(((dsetconstr @ X1 @ (^[Z0/* 3 */:$i]:((X2 @ Z0))))!=(emptyset)))))))), inference(apply_def,[status(thm)],[c_0_14, c_0_15])). 1.95/0.79 thf(c_0_24, plain, ((ex1I)=(![X1:$i, X2:$i > $o, X3:$i]:(((in @ X3 @ X1)=>((X2 @ X3)=>(![X4:$i]:(((in @ X4 @ X1)=>((X2 @ X4)=>((X4)=(X3)))))=>((singleton @ (dsetconstr @ X1 @ (^[Z0/* 3 */:$i]:(((X2 @ Z0))))))))))))), inference(apply_def,[status(thm)],[c_0_16, c_0_17])). 1.95/0.79 thf(c_0_25, plain, ((reflwellordering)=(^[Z0/* 19 */:$i, Z1:$i]:(((((((reflexive @ Z0 @ Z1)&(transitive @ Z0 @ Z1))&(![X38:$i]:(((in @ X38 @ Z0)=>![X39:$i]:(((in @ X39 @ Z0)=>(((in @ (kpair @ X38 @ X39) @ Z1)&(in @ (kpair @ X39 @ X38) @ Z1))=>((X38)=(X39)))))))))&![X40:$i]:(((in @ X40 @ Z0)=>![X41:$i]:(((in @ X41 @ Z0)=>((in @ (kpair @ X40 @ X41) @ Z1)|(in @ (kpair @ X41 @ X40) @ Z1))))))))&![X7:$i]:(((in @ X7 @ (powerset @ Z0))=>((((X7)!=(emptyset)))=>?[X3:$i]:(((in @ X3 @ X7)&![X4:$i]:(((in @ X4 @ X7)=>(in @ (kpair @ X3 @ X4) @ Z1)))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_18, c_0_15]), c_0_19])). 1.95/0.79 thf(c_0_26, plain, ![X5:$i, X6:$i]:(((epred1_2 @ X6 @ X5)<=>(((((reflexive @ X5 @ X6)&(transitive @ X5 @ X6))&![X52:$i]:(((in @ X52 @ X5)=>![X53:$i]:(((in @ X53 @ X5)=>(((in @ (kpair @ X52 @ X53) @ X6)&(in @ (kpair @ X53 @ X52) @ X6))=>((X52)=(X53))))))))&![X54:$i]:(((in @ X54 @ X5)=>![X55:$i]:(((in @ X55 @ X5)=>((in @ (kpair @ X54 @ X55) @ X6)|(in @ (kpair @ X55 @ X54) @ X6)))))))&![X56:$i]:(((in @ X56 @ (powerset @ X5))=>(((X56)!=(emptyset))=>?[X57:$i]:(((in @ X57 @ X56)&![X58:$i]:(((in @ X58 @ X56)=>(in @ (kpair @ X57 @ X58) @ X6))))))))))), introduced(definition)). 1.95/0.79 thf(c_0_27, negated_conjecture, ~((![X42:$i, X43:$i > $o, X44:$i]:(((in @ X44 @ X42)=>((X43 @ X44)=>(in @ X44 @ (dsetconstr @ X42 @ X43)))))=>(![X65:$i, X66:$i > $o, X67:$i]:(((in @ X67 @ (dsetconstr @ X65 @ X66))=>(in @ X67 @ X65)))=>(![X62:$i, X63:$i > $o, X64:$i]:(((in @ X64 @ (dsetconstr @ X62 @ X63))=>(X63 @ X64)))=>(![X45:$i, X46:$i > $o, X47:$i]:(((in @ X47 @ X45)=>((X46 @ X47)=>((dsetconstr @ X45 @ X46)!=(emptyset)))))=>(![X59:$i, X60:$i]:((![X61:$i]:(((in @ X61 @ X60)=>(in @ X61 @ X59)))=>(in @ X60 @ (powerset @ X59))))=>(![X48:$i, X49:$i > $o, X50:$i]:(((in @ X50 @ X48)=>((X49 @ X50)=>(![X51:$i]:(((in @ X51 @ X48)=>((X49 @ X51)=>((X51)=(X50)))))=>(singleton @ (dsetconstr @ X48 @ X49))))))=>![X1:$i, X5:$i, X8:$i > $i > $o]:((![X3:$i]:(((in @ X3 @ X1)=>?[X4:$i]:(((in @ X4 @ X5)&(X8 @ X3 @ X4)))))=>![X6:$i]:(((in @ X6 @ (breln1Set @ X5))=>((epred1_2 @ X6 @ X5)=>![X3:$i]:(((in @ X3 @ X1)=>(singleton @ (dsetconstr @ X5 @ (^[Z0/* 8 */:$i]:((X8 @ X3 @ Z0&![X9:$i]:(((X8 @ X3 @ X9=>(in @ (kpair @ Z0 @ X9) @ X6))<=(in @ X9 @ X5)))))))))))))))))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[choice2fnsingleton])]), c_0_20]), c_0_21]), c_0_22]), c_0_23]), powersetI]), c_0_24]), c_0_25])])]), c_0_26])). 1.95/0.79 thf(c_0_28, negated_conjecture, ![X68:$i, X69:$i > $o, X70:$i, X71:$i, X72:$i > $o, X73:$i, X74:$i, X75:$i > $o, X76:$i, X77:$i, X78:$i > $o, X79:$i, X80:$i, X81:$i, X83:$i, X84:$i > $o, X85:$i, X90:$i]:(((~(in @ X70 @ X68)|(~(X69 @ X70)|(in @ X70 @ (dsetconstr @ X68 @ X69))))&((~(in @ X73 @ (dsetconstr @ X71 @ X72))|(in @ X73 @ X71))&((~(in @ X76 @ (dsetconstr @ X74 @ X75))|(X75 @ X76))&((~(in @ X79 @ X77)|(~(X78 @ X79)|((dsetconstr @ X77 @ X78)!=(emptyset))))&((((in @ (esk1_2 @ X80 @ X81) @ X81)|(in @ X81 @ (powerset @ X80)))&(~(in @ (esk1_2 @ X80 @ X81) @ X80)|(in @ X81 @ (powerset @ X80))))&((((in @ (esk2_3 @ X83 @ X84 @ X85) @ X83)|(singleton @ (dsetconstr @ X83 @ X84))|~(X84 @ X85)|~(in @ X85 @ X83))&(((X84 @ (esk2_3 @ X83 @ X84 @ X85))|(singleton @ (dsetconstr @ X83 @ X84))|~(X84 @ X85)|~(in @ X85 @ X83))&(((esk2_3 @ X83 @ X84 @ X85)!=(X85))|(singleton @ (dsetconstr @ X83 @ X84))|~(X84 @ X85)|~(in @ X85 @ X83))))&((((in @ (esk5_1 @ X90) @ esk4_0)|~(in @ X90 @ esk3_0))&((epred2_0 @ X90 @ (esk5_1 @ X90))|~(in @ X90 @ esk3_0)))&((in @ esk6_0 @ (breln1Set @ esk4_0))&((epred1_2 @ esk6_0 @ esk4_0)&((in @ esk7_0 @ esk3_0)&~(singleton @ (dsetconstr @ esk4_0 @ (^[Z0/* 8 */:$i]:((epred2_0 @ esk7_0 @ Z0&![X9:$i]:(((epred2_0 @ esk7_0 @ X9=>(in @ (kpair @ Z0 @ X9) @ esk6_0))<=(in @ X9 @ esk4_0))))))))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])])])). 1.95/0.79 thf(c_0_29, plain, ![X5:$i, X6:$i]:(((epred1_2 @ X6 @ X5)=>(((((reflexive @ X5 @ X6)&(transitive @ X5 @ X6))&![X52:$i]:(((in @ X52 @ X5)=>![X53:$i]:(((in @ X53 @ X5)=>(((in @ (kpair @ X52 @ X53) @ X6)&(in @ (kpair @ X53 @ X52) @ X6))=>((X52)=(X53))))))))&![X54:$i]:(((in @ X54 @ X5)=>![X55:$i]:(((in @ X55 @ X5)=>((in @ (kpair @ X54 @ X55) @ X6)|(in @ (kpair @ X55 @ X54) @ X6)))))))&![X56:$i]:(((in @ X56 @ (powerset @ X5))=>(((X56)!=(emptyset))=>?[X57:$i]:(((in @ X57 @ X56)&![X58:$i]:(((in @ X58 @ X56)=>(in @ (kpair @ X57 @ X58) @ X6))))))))))), inference(split_equiv,[status(thm)],[c_0_26])). 1.95/0.79 thf(c_0_30, negated_conjecture, ![X1:$i, X3:$i, X2:$i > $o]:(((in @ X1 @ X3)|~((in @ X1 @ (dsetconstr @ X3 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_28])). 1.95/0.79 thf(c_0_31, negated_conjecture, ![X3:$i, X1:$i]:(((in @ (esk1_2 @ X1 @ X3) @ X3)|(in @ X3 @ (powerset @ X1)))), inference(split_conjunct,[status(thm)],[c_0_28])). 1.95/0.79 thf(c_0_32, plain, ![X94:$i, X95:$i, X96:$i, X97:$i, X98:$i, X99:$i, X100:$i, X102:$i]:(((((((reflexive @ X94 @ X95)|~(epred1_2 @ X95 @ X94))&((transitive @ X94 @ X95)|~(epred1_2 @ X95 @ X94)))&(~(in @ X96 @ X94)|(~(in @ X97 @ X94)|(~(in @ (kpair @ X96 @ X97) @ X95)|~(in @ (kpair @ X97 @ X96) @ X95)|((X96)=(X97))))|~(epred1_2 @ X95 @ X94)))&(~(in @ X98 @ X94)|(~(in @ X99 @ X94)|((in @ (kpair @ X98 @ X99) @ X95)|(in @ (kpair @ X99 @ X98) @ X95)))|~(epred1_2 @ X95 @ X94)))&(((in @ (esk8_3 @ X94 @ X95 @ X100) @ X100)|((X100)=(emptyset))|~(in @ X100 @ (powerset @ X94))|~(epred1_2 @ X95 @ X94))&(~(in @ X102 @ X100)|(in @ (kpair @ (esk8_3 @ X94 @ X95 @ X100) @ X102) @ X95)|((X100)=(emptyset))|~(in @ X100 @ (powerset @ X94))|~(epred1_2 @ X95 @ X94))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])])])). 1.95/0.79 thf(c_0_33, negated_conjecture, ![X3:$i, X1:$i]:(((in @ X3 @ (powerset @ X1))|~((in @ (esk1_2 @ X1 @ X3) @ X1)))), inference(split_conjunct,[status(thm)],[c_0_28])). 1.95/0.79 thf(c_0_34, negated_conjecture, ![X3:$i, X2:$i > $o, X1:$i]:(((in @ (esk1_2 @ X1 @ (dsetconstr @ X3 @ X2)) @ X3)|(in @ (dsetconstr @ X3 @ X2) @ (powerset @ X1)))), inference(spm,[status(thm)],[c_0_30, c_0_31])). 1.95/0.79 thf(c_0_35, plain, ![X105:$i, X106:$i]:(((((epred2_0 @ esk7_0 @ X105)|~(epred3_0 @ X105))&(~(in @ X106 @ esk4_0)|(~(epred2_0 @ esk7_0 @ X106)|(in @ (kpair @ X105 @ X106) @ esk6_0))|~(epred3_0 @ X105)))&(((in @ (esk9_1 @ X105) @ esk4_0)|~(epred2_0 @ esk7_0 @ X105)|(epred3_0 @ X105))&(((epred2_0 @ esk7_0 @ (esk9_1 @ X105))|~(epred2_0 @ esk7_0 @ X105)|(epred3_0 @ X105))&(~(in @ (kpair @ X105 @ (esk9_1 @ X105)) @ esk6_0)|~(epred2_0 @ esk7_0 @ X105)|(epred3_0 @ X105)))))), 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)],[inference(fof_simplification,[status(thm)],[])])])])])])])). 1.95/0.79 thf(c_0_36, plain, ![X1:$i, X3:$i, X5:$i, X4:$i]:(((in @ (kpair @ (esk8_3 @ X4 @ X5 @ X3) @ X1) @ X5)|((X3)=(emptyset))|~((in @ X1 @ X3))|~((in @ X3 @ (powerset @ X4)))|~((epred1_2 @ X5 @ X4)))), inference(split_conjunct,[status(thm)],[c_0_32])). 1.95/0.79 thf(c_0_37, negated_conjecture, ![X2:$i > $o, X1:$i]:((in @ (dsetconstr @ X1 @ X2) @ (powerset @ X1))), inference(spm,[status(thm)],[c_0_33, c_0_34])). 1.95/0.79 thf(c_0_38, plain, ![X4:$i, X3:$i, X1:$i]:(((in @ (esk8_3 @ X1 @ X3 @ X4) @ X4)|((X4)=(emptyset))|~((in @ X4 @ (powerset @ X1)))|~((epred1_2 @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_32])). 1.95/0.79 thf(c_0_39, plain, ![X1:$i, X4:$i, X5:$i, X3:$i]:((((X1)=(X4))|~((in @ X1 @ X3))|~((in @ X4 @ X3))|~((in @ (kpair @ X1 @ X4) @ X5))|~((in @ (kpair @ X4 @ X1) @ X5))|~((epred1_2 @ X5 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_32])). 1.95/0.79 thf(c_0_40, plain, ![X1:$i, X3:$i]:(((in @ (kpair @ X3 @ X1) @ esk6_0)|~((in @ X1 @ esk4_0))|~((epred2_0 @ esk7_0 @ X1))|~((epred3_0 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_35])). 1.95/0.79 thf(c_0_41, plain, ![X4:$i, X3:$i, X2:$i > $o, X1:$i]:((((dsetconstr @ X1 @ X2)=(emptyset))|(in @ (kpair @ (esk8_3 @ X1 @ X3 @ (dsetconstr @ X1 @ X2)) @ X4) @ X3)|~((in @ X4 @ (dsetconstr @ X1 @ X2)))|~((epred1_2 @ X3 @ X1)))), inference(spm,[status(thm)],[c_0_36, c_0_37])). 1.95/0.79 thf(c_0_42, 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_28])). 1.95/0.79 thf(c_0_43, negated_conjecture, ![X1:$i, X3:$i, X2:$i > $o]:((~((in @ X1 @ X3))|~((X2 @ X1))|((dsetconstr @ X3 @ X2)!=(emptyset)))), inference(split_conjunct,[status(thm)],[c_0_28])). 1.95/0.79 thf(c_0_44, plain, ![X3:$i, X2:$i > $o, X1:$i]:((((dsetconstr @ X1 @ X2)=(emptyset))|(in @ (esk8_3 @ X1 @ X3 @ (dsetconstr @ X1 @ X2)) @ (dsetconstr @ X1 @ X2))|~((epred1_2 @ X3 @ X1)))), inference(spm,[status(thm)],[c_0_38, c_0_37])). 1.95/0.79 thf(c_0_45, negated_conjecture, (epred1_2 @ esk6_0 @ esk4_0), inference(split_conjunct,[status(thm)],[c_0_28])). 1.95/0.79 thf(c_0_46, plain, ![X1:$i, X4:$i, X3:$i]:((((X1)=(X3))|~((in @ (kpair @ X1 @ X3) @ esk6_0))|~((epred1_2 @ esk6_0 @ X4))|~((in @ X1 @ esk4_0))|~((epred2_0 @ esk7_0 @ X1))|~((in @ X3 @ X4))|~((in @ X1 @ X4))|~((epred3_0 @ X3)))), inference(spm,[status(thm)],[c_0_39, c_0_40])). 1.95/0.79 thf(c_0_47, negated_conjecture, ![X1:$i, X3:$i, X2:$i > $o, X4:$i]:(((in @ (kpair @ (esk8_3 @ X1 @ X3 @ (dsetconstr @ X1 @ X2)) @ X4) @ X3)|~((epred1_2 @ X3 @ X1))|~((in @ X4 @ X1))|~((X2 @ X4)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_43])). 1.95/0.79 thf(c_0_48, negated_conjecture, ![X2:$i > $o]:((((dsetconstr @ esk4_0 @ X2)=(emptyset))|(in @ (esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ X2)) @ (dsetconstr @ esk4_0 @ X2)))), inference(spm,[status(thm)],[c_0_44, c_0_45])). 1.95/0.79 thf(c_0_49, plain, ![X1:$i, X2:$i > $o, X4:$i, X3:$i]:((((esk8_3 @ X1 @ esk6_0 @ (dsetconstr @ X1 @ X2))=(X3))|~((in @ (esk8_3 @ X1 @ esk6_0 @ (dsetconstr @ X1 @ X2)) @ esk4_0))|~((epred2_0 @ esk7_0 @ (esk8_3 @ X1 @ esk6_0 @ (dsetconstr @ X1 @ X2))))|~((in @ (esk8_3 @ X1 @ esk6_0 @ (dsetconstr @ X1 @ X2)) @ X4))|~((epred1_2 @ esk6_0 @ X4))|~((epred1_2 @ esk6_0 @ X1))|~((in @ X3 @ X4))|~((in @ X3 @ X1))|~((epred3_0 @ X3))|~((X2 @ X3)))), inference(spm,[status(thm)],[c_0_46, c_0_47])). 1.95/0.79 thf(c_0_50, negated_conjecture, ![X2:$i > $o]:((((dsetconstr @ esk4_0 @ X2)=(emptyset))|(in @ (esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ X2)) @ esk4_0))), inference(spm,[status(thm)],[c_0_30, c_0_48])). 1.95/0.79 thf(c_0_51, negated_conjecture, ![X3:$i, X2:$i > $o, X1:$i]:((((esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ X2))=(X1))|~((epred2_0 @ esk7_0 @ (esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ X2))))|~((in @ (esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ X2)) @ X3))|~((epred1_2 @ esk6_0 @ X3))|~((in @ X1 @ esk4_0))|~((in @ X1 @ X3))|~((epred3_0 @ X1))|~((X2 @ X1)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_45])]), c_0_43])). 1.95/0.79 thf(c_0_52, plain, ![X1:$i]:(((epred2_0 @ esk7_0 @ X1)|~((epred3_0 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_35])). 1.95/0.79 thf(c_0_53, plain, ![X3:$i, X2:$i > $o, X1:$i]:((((esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ X2))=(X1))|~((in @ (esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ X2)) @ X3))|~((epred3_0 @ (esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ X2))))|~((epred1_2 @ esk6_0 @ X3))|~((in @ X1 @ esk4_0))|~((in @ X1 @ X3))|~((epred3_0 @ X1))|~((X2 @ X1)))), inference(spm,[status(thm)],[c_0_51, c_0_52])). 1.95/0.79 thf(c_0_54, negated_conjecture, ![X1:$i, X3:$i, X2:$i > $o]:(((X2 @ X1)|~((in @ X1 @ (dsetconstr @ X3 @ X2))))), inference(split_conjunct,[status(thm)],[c_0_28])). 1.95/0.79 thf(c_0_55, negated_conjecture, ![X2:$i > $o, X1:$i]:((((esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ X2))=(X1))|~((epred3_0 @ (esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ X2))))|~((in @ X1 @ esk4_0))|~((epred3_0 @ X1))|~((X2 @ X1)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_50]), c_0_45])]), c_0_43])). 1.95/0.79 thf(c_0_56, negated_conjecture, ![X2:$i > $o]:((((dsetconstr @ esk4_0 @ X2)=(emptyset))|(X2 @ (esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ X2))))), inference(spm,[status(thm)],[c_0_54, c_0_48])). 1.95/0.79 thf(c_0_57, plain, ![X1:$i]:(((epred3_0 @ X1)|~((in @ (kpair @ X1 @ (esk9_1 @ X1)) @ esk6_0))|~((epred2_0 @ esk7_0 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_35])). 1.95/0.79 thf(c_0_58, plain, ![X1:$i]:(((in @ (esk9_1 @ X1) @ esk4_0)|(epred3_0 @ X1)|~((epred2_0 @ esk7_0 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_35])). 1.95/0.79 thf(c_0_59, plain, ![X1:$i]:(((epred2_0 @ esk7_0 @ (esk9_1 @ X1))|(epred3_0 @ X1)|~((epred2_0 @ esk7_0 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_35])). 1.95/0.79 thf(c_0_60, negated_conjecture, ![X1:$i]:((((esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ epred3_0))=(X1))|~((in @ X1 @ esk4_0))|~((epred3_0 @ X1)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_43])). 1.95/0.79 thf(c_0_61, plain, ![X2:$i > $o, X1:$i]:(((epred3_0 @ (esk8_3 @ X1 @ esk6_0 @ (dsetconstr @ X1 @ X2)))|~((in @ (esk9_1 @ (esk8_3 @ X1 @ esk6_0 @ (dsetconstr @ X1 @ X2))) @ X1))|~((epred2_0 @ esk7_0 @ (esk8_3 @ X1 @ esk6_0 @ (dsetconstr @ X1 @ X2))))|~((X2 @ (esk9_1 @ (esk8_3 @ X1 @ esk6_0 @ (dsetconstr @ X1 @ X2)))))|~((epred1_2 @ esk6_0 @ X1)))), inference(spm,[status(thm)],[c_0_57, c_0_47])). 1.95/0.79 thf(c_0_62, plain, (((dsetconstr @ esk4_0 @ (epred2_0 @ esk7_0))=(emptyset))|(in @ (esk9_1 @ (esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ (epred2_0 @ esk7_0)))) @ esk4_0)|(epred3_0 @ (esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ (epred2_0 @ esk7_0))))), inference(spm,[status(thm)],[c_0_58, c_0_56])). 1.95/0.79 thf(c_0_63, plain, (((dsetconstr @ esk4_0 @ (epred2_0 @ esk7_0))=(emptyset))|(epred2_0 @ esk7_0 @ (esk9_1 @ (esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ (epred2_0 @ esk7_0)))))|(epred3_0 @ (esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ (epred2_0 @ esk7_0))))), inference(spm,[status(thm)],[c_0_59, c_0_56])). 1.95/0.79 thf(c_0_64, negated_conjecture, ![X2:$i > $o]:((((esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ epred3_0))=(esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ X2)))|((dsetconstr @ esk4_0 @ X2)=(emptyset))|~((epred3_0 @ (esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ X2)))))), inference(spm,[status(thm)],[c_0_60, c_0_50])). 1.95/0.79 thf(c_0_65, plain, (((dsetconstr @ esk4_0 @ (epred2_0 @ esk7_0))=(emptyset))|(epred3_0 @ (esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ (epred2_0 @ esk7_0))))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_45])]), c_0_56]), c_0_63])). 1.95/0.79 thf(c_0_66, negated_conjecture, (((esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ (epred2_0 @ esk7_0)))=(esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ epred3_0)))|((dsetconstr @ esk4_0 @ (epred2_0 @ esk7_0))=(emptyset))), inference(spm,[status(thm)],[c_0_64, c_0_65])). 1.95/0.79 thf(c_0_67, plain, ![X104:$i]:(((epred3_0 @ X104)<=>((epred2_0 @ esk7_0 @ X104)&![X103:$i]:((((epred2_0 @ esk7_0 @ X103)=>(in @ (kpair @ X104 @ X103) @ esk6_0))<=(in @ X103 @ esk4_0)))))), introduced(definition)). 1.95/0.79 thf(c_0_68, negated_conjecture, ![X3:$i, X2:$i > $o, X1:$i]:(((in @ (esk2_3 @ X1 @ X2 @ X3) @ X1)|(singleton @ (dsetconstr @ X1 @ X2))|~((X2 @ X3))|~((in @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_28])). 1.95/0.79 thf(c_0_69, negated_conjecture, (((dsetconstr @ esk4_0 @ (epred2_0 @ esk7_0))=(emptyset))|(in @ (esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ epred3_0)) @ esk4_0)), inference(spm,[status(thm)],[c_0_50, c_0_66])). 1.95/0.79 thf(c_0_70, negated_conjecture, ~((((singleton @ (dsetconstr @ esk4_0 @ epred3_0)))=(($true)))), inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_28]), c_0_67])). 1.95/0.79 thf(c_0_71, negated_conjecture, ![X3:$i, X2:$i > $o, X1:$i]:(((X2 @ (esk2_3 @ X1 @ X2 @ X3))|(singleton @ (dsetconstr @ X1 @ X2))|~((X2 @ X3))|~((in @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_28])). 1.95/0.79 thf(c_0_72, negated_conjecture, ![X2:$i > $o]:((((dsetconstr @ esk4_0 @ (epred2_0 @ esk7_0))=(emptyset))|(in @ (esk2_3 @ esk4_0 @ X2 @ (esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ epred3_0))) @ esk4_0)|(singleton @ (dsetconstr @ esk4_0 @ X2))|~((X2 @ (esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ epred3_0)))))), inference(spm,[status(thm)],[c_0_68, c_0_69])). 1.95/0.79 thf(c_0_73, plain, (((dsetconstr @ esk4_0 @ (epred2_0 @ esk7_0))=(emptyset))|(epred3_0 @ (esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ epred3_0)))), inference(spm,[status(thm)],[c_0_65, c_0_66])). 1.95/0.79 thf(c_0_74, negated_conjecture, ~((singleton @ (dsetconstr @ esk4_0 @ epred3_0))), inference(cn,[status(thm)],[c_0_70])). 1.95/0.79 thf(c_0_75, negated_conjecture, ![X2:$i > $o]:((((dsetconstr @ esk4_0 @ (epred2_0 @ esk7_0))=(emptyset))|(X2 @ (esk2_3 @ esk4_0 @ X2 @ (esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ epred3_0))))|(singleton @ (dsetconstr @ esk4_0 @ X2))|~((X2 @ (esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ epred3_0)))))), inference(spm,[status(thm)],[c_0_71, c_0_69])). 1.95/0.79 thf(c_0_76, plain, (((dsetconstr @ esk4_0 @ (epred2_0 @ esk7_0))=(emptyset))|(in @ (esk2_3 @ esk4_0 @ epred3_0 @ (esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ epred3_0))) @ esk4_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_74])). 1.95/0.79 thf(c_0_77, plain, (((dsetconstr @ esk4_0 @ (epred2_0 @ esk7_0))=(emptyset))|(epred3_0 @ (esk2_3 @ esk4_0 @ epred3_0 @ (esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ epred3_0))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_73]), c_0_74])). 1.95/0.79 thf(c_0_78, negated_conjecture, ![X3:$i, X2:$i > $o, X1:$i]:(((singleton @ (dsetconstr @ X1 @ X2))|((esk2_3 @ X1 @ X2 @ X3)!=(X3))|~((X2 @ X3))|~((in @ X3 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_28])). 1.95/0.79 thf(c_0_79, negated_conjecture, (((esk2_3 @ esk4_0 @ epred3_0 @ (esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ epred3_0)))=(esk8_3 @ esk4_0 @ esk6_0 @ (dsetconstr @ esk4_0 @ epred3_0)))|((dsetconstr @ esk4_0 @ (epred2_0 @ esk7_0))=(emptyset))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_76]), c_0_77])). 1.95/0.79 thf(c_0_80, negated_conjecture, ((dsetconstr @ esk4_0 @ (epred2_0 @ esk7_0))=(emptyset)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78, c_0_79]), c_0_74]), c_0_73]), c_0_69])). 1.95/0.79 thf(c_0_81, negated_conjecture, ![X1:$i]:((~((in @ X1 @ esk4_0))|~((epred2_0 @ esk7_0 @ X1)))), inference(spm,[status(thm)],[c_0_43, c_0_80])). 1.95/0.79 thf(c_0_82, negated_conjecture, ![X1:$i]:(((in @ (esk5_1 @ X1) @ esk4_0)|~((in @ X1 @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_28])). 1.95/0.79 thf(c_0_83, negated_conjecture, ![X1:$i]:((~((epred2_0 @ esk7_0 @ (esk5_1 @ X1)))|~((in @ X1 @ esk3_0)))), inference(spm,[status(thm)],[c_0_81, c_0_82])). 1.95/0.79 thf(c_0_84, negated_conjecture, ![X1:$i]:(((epred2_0 @ X1 @ (esk5_1 @ X1))|~((in @ X1 @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_28])). 1.95/0.79 thf(c_0_85, negated_conjecture, (in @ esk7_0 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_28])). 1.95/0.79 thf(c_0_86, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83, c_0_84]), c_0_85])]), ['proof']). 1.95/0.79 # SZS output end CNFRefutation 1.95/0.79 # Parsed axioms : 32 1.95/0.79 # Removed by relevancy pruning/SinE : 0 1.95/0.79 # Initial clauses : 46 1.95/0.79 # Removed in clause preprocessing : 20 1.95/0.79 # Initial clauses in saturation : 26 1.95/0.79 # Processed clauses : 714 1.95/0.79 # ...of these trivial : 0 1.95/0.79 # ...subsumed : 73 1.95/0.79 # ...remaining for further processing : 641 1.95/0.79 # Other redundant clauses eliminated : 0 1.95/0.79 # Clauses deleted for lack of memory : 0 1.95/0.79 # Backward-subsumed : 20 1.95/0.79 # Backward-rewritten : 102 1.95/0.79 # Generated clauses : 4611 1.95/0.79 # ...of the previous two non-redundant : 4639 1.95/0.79 # ...aggressively subsumed : 0 1.95/0.79 # Contextual simplify-reflections : 16 1.95/0.79 # Paramodulations : 4611 1.95/0.79 # Factorizations : 0 1.95/0.79 # NegExts : 0 1.95/0.79 # Equation resolutions : 0 1.95/0.79 # Disequality decompositions : 0 1.95/0.79 # Total rewrite steps : 191 1.95/0.79 # ...of those cached : 186 1.95/0.79 # Propositional unsat checks : 0 1.95/0.79 # Propositional check models : 0 1.95/0.79 # Propositional check unsatisfiable : 0 1.95/0.79 # Propositional clauses : 0 1.95/0.79 # Propositional clauses after purity: 0 1.95/0.79 # Propositional unsat core size : 0 1.95/0.79 # Propositional preprocessing time : 0.000 1.95/0.79 # Propositional encoding time : 0.000 1.95/0.79 # Propositional solver time : 0.000 1.95/0.79 # Success case prop preproc time : 0.000 1.95/0.79 # Success case prop encoding time : 0.000 1.95/0.79 # Success case prop solver time : 0.000 1.95/0.79 # Current number of processed clauses : 493 1.95/0.79 # Positive orientable unit clauses : 7 1.95/0.79 # Positive unorientable unit clauses: 0 1.95/0.79 # Negative unit clauses : 1 1.95/0.79 # Non-unit-clauses : 485 1.95/0.79 # Current number of unprocessed clauses: 3975 1.95/0.79 # ...number of literals in the above : 21113 1.95/0.79 # Current number of archived formulas : 0 1.95/0.79 # Current number of archived clauses : 148 1.95/0.79 # Clause-clause subsumption calls (NU) : 36553 1.95/0.79 # Rec. Clause-clause subsumption calls : 13268 1.95/0.79 # Non-unit clause-clause subsumptions : 109 1.95/0.79 # Unit Clause-clause subsumption calls : 42 1.95/0.79 # Rewrite failures with RHS unbound : 0 1.95/0.79 # BW rewrite match attempts : 6 1.95/0.79 # BW rewrite match successes : 1 1.95/0.79 # Condensation attempts : 0 1.95/0.79 # Condensation successes : 0 1.95/0.79 # Termbank termtop insertions : 229078 1.95/0.79 # Search garbage collected termcells : 1391 1.95/0.79 1.95/0.79 # ------------------------------------------------- 1.95/0.79 # User time : 0.214 s 1.95/0.79 # System time : 0.009 s 1.95/0.79 # Total time : 0.223 s 1.95/0.79 # Maximum resident set size: 2136 pages 1.95/0.79 1.95/0.79 # ------------------------------------------------- 1.95/0.79 # User time : 1.036 s 1.95/0.79 # System time : 0.044 s 1.95/0.79 # Total time : 1.080 s 1.95/0.79 # Maximum resident set size: 1780 pages 1.95/0.79 % E---3.1 exiting 1.95/0.79 % E exiting 1.95/0.79 EOF