0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.13/0.33 % Computer : n024.cluster.edu 0.13/0.33 % Model : x86_64 x86_64 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.33 % Memory : 8042.1875MB 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.33 % CPULimit : 1920 0.13/0.33 % WCLimit : 240 0.13/0.33 % DateTime : Wed Jul 30 07:06:04 EDT 2025 0.13/0.34 % CPUTime : 0.21/0.47 Running higher-order theorem proving 0.21/0.49 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=240 /export/starexec/sandbox2/tmp/tmp.EIhGD4byQR/E---3.1_27497.p 172.42/22.15 # Version: 3.0.0-ho 172.42/22.15 # Preprocessing class: HSMSSMSSMLLNHSN. 172.42/22.15 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 172.42/22.15 # Starting new_ho_10_cnf2 with 1200s (5) cores 172.42/22.15 # Starting post_as_ho3 with 240s (1) cores 172.42/22.15 # Starting new_ho_12 with 240s (1) cores 172.42/22.15 # Starting new_bool_2 with 240s (1) cores 172.42/22.15 # post_as_ho3 with pid 27576 completed with status 0 172.42/22.15 # Result found by post_as_ho3 172.42/22.15 # Preprocessing class: HSMSSMSSMLLNHSN. 172.42/22.15 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 172.42/22.15 # Starting new_ho_10_cnf2 with 1200s (5) cores 172.42/22.15 # Starting post_as_ho3 with 240s (1) cores 172.42/22.15 # No SInE strategy applied 172.42/22.15 # Search class: HGHNM-FFMF33-SHSSMFNN 172.42/22.15 # partial match(1): HGHNM-FFMF31-SHSSMFNN 172.42/22.15 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 172.42/22.15 # Starting new_ho_10 with 130s (1) cores 172.42/22.15 # new_ho_10 with pid 27581 completed with status 0 172.42/22.15 # Result found by new_ho_10 172.42/22.15 # Preprocessing class: HSMSSMSSMLLNHSN. 172.42/22.15 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 172.42/22.15 # Starting new_ho_10_cnf2 with 1200s (5) cores 172.42/22.15 # Starting post_as_ho3 with 240s (1) cores 172.42/22.15 # No SInE strategy applied 172.42/22.15 # Search class: HGHNM-FFMF33-SHSSMFNN 172.42/22.15 # partial match(1): HGHNM-FFMF31-SHSSMFNN 172.42/22.15 # Scheduled 6 strats onto 1 cores with 240 seconds (240 total) 172.42/22.15 # Starting new_ho_10 with 130s (1) cores 172.42/22.15 # Preprocessing time : 0.003 s 172.42/22.15 # Presaturation interreduction done 172.42/22.15 172.42/22.15 # Proof found! 172.42/22.15 # SZS status Theorem 172.42/22.15 # SZS output start CNFRefutation 172.42/22.15 thf(decl_sort1, type, mu: $tType). 172.42/22.15 thf(decl_25, type, mnot: ($i > $o) > $i > $o). 172.42/22.15 thf(decl_26, type, mor: ($i > $o) > ($i > $o) > $i > $o). 172.42/22.15 thf(decl_31, type, mand: ($i > $o) > ($i > $o) > $i > $o). 172.42/22.15 thf(decl_32, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 172.42/22.15 thf(decl_37, type, exists_in_world: mu > $i > $o). 172.42/22.15 thf(decl_38, type, mforall_ind: (mu > $i > $o) > $i > $o). 172.42/22.15 thf(decl_39, type, mexists_ind: (mu > $i > $o) > $i > $o). 172.42/22.15 thf(decl_41, type, mreflexive: ($i > $i > $o) > $o). 172.42/22.15 thf(decl_44, type, mtransitive: ($i > $i > $o) > $o). 172.42/22.15 thf(decl_51, type, mvalid: ($i > $o) > $o). 172.42/22.15 thf(decl_55, type, rel_s4: $i > $i > $o). 172.42/22.15 thf(decl_56, type, mbox_s4: ($i > $o) > $i > $o). 172.42/22.15 thf(decl_58, type, string: mu > $i > $o). 172.42/22.15 thf(decl_59, type, in: mu > mu > mu > $i > $o). 172.42/22.15 thf(decl_60, type, do: mu > mu > mu > $i > $o). 172.42/22.15 thf(decl_61, type, number: mu > mu > $i > $o). 172.42/22.15 thf(decl_62, type, entry_box: mu > $i > $o). 172.42/22.15 thf(decl_63, type, userid: mu > mu > $i > $o). 172.42/22.15 thf(decl_64, type, one: mu). 172.42/22.15 thf(decl_65, type, u: mu). 172.42/22.15 thf(decl_67, type, esk2_0: $i). 172.42/22.15 thf(decl_68, type, esk3_0: $i). 172.42/22.15 thf(decl_69, type, esk4_4: mu > mu > mu > mu > $i). 172.42/22.15 thf(decl_70, type, esk5_4: mu > mu > mu > mu > $i). 172.42/22.15 thf(decl_71, type, esk6_4: mu > mu > mu > mu > mu). 172.42/22.15 thf(decl_72, type, esk7_2: $i > $i > mu). 172.42/22.15 thf(decl_73, type, esk8_1: $i > mu). 172.42/22.15 thf(decl_74, type, esk9_5: $i > $i > mu > mu > mu > mu). 172.42/22.15 thf(mand, axiom, ((mand)=(^[X4:$i > $o, X5:$i > $o]:(mnot @ (mor @ (mnot @ X4) @ (mnot @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.EIhGD4byQR/E---3.1_27497.p', mand)). 172.42/22.15 thf(mnot, axiom, ((mnot)=(^[X4:$i > $o, X3:$i]:(~((X4 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.EIhGD4byQR/E---3.1_27497.p', mnot)). 172.42/22.15 thf(mor, axiom, ((mor)=(^[X4:$i > $o, X5:$i > $o, X3:$i]:(((X4 @ X3)|(X5 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.EIhGD4byQR/E---3.1_27497.p', mor)). 172.42/22.15 thf(mimplies, axiom, ((mimplies)=(^[X4:$i > $o, X5:$i > $o]:(mor @ (mnot @ X4) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.EIhGD4byQR/E---3.1_27497.p', mimplies)). 172.42/22.15 thf(mexists_ind, axiom, ((mexists_ind)=(^[X12:mu > $i > $o]:(mnot @ (mforall_ind @ (^[X13:mu]:(mnot @ (X12 @ X13))))))), file('/export/starexec/sandbox2/tmp/tmp.EIhGD4byQR/E---3.1_27497.p', mexists_ind)). 172.42/22.15 thf(mforall_ind, axiom, ((mforall_ind)=(^[X10:mu > $i > $o, X3:$i]:(![X11:mu]:(((exists_in_world @ X11 @ X3)=>(X10 @ X11 @ X3)))))), file('/export/starexec/sandbox2/tmp/tmp.EIhGD4byQR/E---3.1_27497.p', mforall_ind)). 172.42/22.15 thf(mvalid, axiom, ((mvalid)=(^[X4:$i > $o]:(![X3:$i]:((X4 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.EIhGD4byQR/E---3.1_27497.p', mvalid)). 172.42/22.15 thf(mbox_s4, axiom, ((mbox_s4)=(^[X4:$i > $o, X3:$i]:(![X7:$i]:((~((rel_s4 @ X3 @ X7))|(X4 @ X7)))))), file('/export/starexec/sandbox2/tmp/tmp.EIhGD4byQR/E---3.1_27497.p', mbox_s4)). 172.42/22.15 thf(ax3, axiom, (mvalid @ (mbox_s4 @ (mforall_ind @ (^[X25:mu]:(mforall_ind @ (^[X20:mu]:(mforall_ind @ (^[X21:mu]:(mimplies @ (mand @ (string @ X20) @ (entry_box @ X21)) @ (mexists_ind @ (^[X22:mu]:(mbox_s4 @ (mforall_ind @ (^[X24:mu]:(mimplies @ (do @ X25 @ X22 @ X24) @ (in @ X20 @ X21 @ X24)))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.EIhGD4byQR/E---3.1_27497.p', ax3)). 172.42/22.15 thf(con, conjecture, (mvalid @ (mbox_s4 @ (mexists_ind @ (^[X20:mu]:(mexists_ind @ (^[X21:mu]:(mexists_ind @ (^[X22:mu]:(mexists_ind @ (^[X23:mu]:(mand @ (mbox_s4 @ (mand @ (userid @ u @ X20) @ (mand @ (entry_box @ X21) @ (number @ X21 @ one)))) @ (mbox_s4 @ (mforall_ind @ (^[X24:mu]:(mimplies @ (do @ X23 @ X22 @ X24) @ (in @ X20 @ X21 @ X24)))))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.EIhGD4byQR/E---3.1_27497.p', con)). 172.42/22.15 thf(ax2, axiom, (mvalid @ (mexists_ind @ (^[X21:mu]:(mbox_s4 @ (mand @ (entry_box @ X21) @ (number @ X21 @ one)))))), file('/export/starexec/sandbox2/tmp/tmp.EIhGD4byQR/E---3.1_27497.p', ax2)). 172.42/22.15 thf(ax1, axiom, (mvalid @ (mbox_s4 @ (mexists_ind @ (^[X20:mu]:(mbox_s4 @ (mand @ (userid @ u @ X20) @ (string @ X20))))))), file('/export/starexec/sandbox2/tmp/tmp.EIhGD4byQR/E---3.1_27497.p', ax1)). 172.42/22.15 thf(mtransitive, axiom, ((mtransitive)=(^[X6:$i > $i > $o]:(![X15:$i, X16:$i, X17:$i]:((((X6 @ X15 @ X16)&(X6 @ X16 @ X17))=>(X6 @ X15 @ X17)))))), file('/export/starexec/sandbox2/tmp/tmp.EIhGD4byQR/E---3.1_27497.p', mtransitive)). 172.42/22.15 thf(a2, axiom, (mtransitive @ rel_s4), file('/export/starexec/sandbox2/tmp/tmp.EIhGD4byQR/E---3.1_27497.p', a2)). 172.42/22.15 thf(mreflexive, axiom, ((mreflexive)=(^[X6:$i > $i > $o]:(![X15:$i]:((X6 @ X15 @ X15))))), file('/export/starexec/sandbox2/tmp/tmp.EIhGD4byQR/E---3.1_27497.p', mreflexive)). 172.42/22.15 thf(a1, axiom, (mreflexive @ rel_s4), file('/export/starexec/sandbox2/tmp/tmp.EIhGD4byQR/E---3.1_27497.p', a1)). 172.42/22.15 thf(c_0_16, plain, ((mand)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(~((((~((Z0 @ Z2)))|(~((Z1 @ Z2))))))))), inference(fof_simplification,[status(thm)],[mand])). 172.42/22.15 thf(c_0_17, plain, ((mnot)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])). 172.42/22.15 thf(c_0_18, plain, ((mor)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])). 172.42/22.15 thf(c_0_19, plain, ((mimplies)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies])). 172.42/22.15 thf(c_0_20, plain, ((mexists_ind)=(^[Z0/* 19 */:mu > $i > $o, Z1:$i]:(~((![X34:mu]:(((exists_in_world @ X34 @ Z1)=>(~((Z0 @ X34 @ Z1)))))))))), inference(fof_simplification,[status(thm)],[mexists_ind])). 172.42/22.15 thf(c_0_21, plain, ((mforall_ind)=(^[Z0/* 19 */:mu > $i > $o, Z1:$i]:(![X11:mu]:(((exists_in_world @ X11 @ Z1)=>(Z0 @ X11 @ Z1)))))), inference(fof_simplification,[status(thm)],[mforall_ind])). 172.42/22.15 thf(c_0_22, plain, ((mand)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(~((((~((Z0 @ Z2)))|(~((Z1 @ Z2))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_16, c_0_17]), c_0_18])). 172.42/22.15 thf(c_0_23, plain, ((mimplies)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_19, c_0_17]), c_0_18])). 172.42/22.15 thf(c_0_24, plain, ((mexists_ind)=(^[Z0/* 19 */:mu > $i > $o, Z1:$i]:(~((![X34:mu]:(((exists_in_world @ X34 @ Z1)=>(~((Z0 @ X34 @ Z1)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_20, c_0_17]), c_0_21])). 172.42/22.15 thf(c_0_25, plain, ((mvalid)=(^[Z0/* 6 */:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])). 172.42/22.15 thf(c_0_26, plain, ((mbox_s4)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(![X7:$i]:((~((rel_s4 @ Z1 @ X7))|(Z0 @ X7)))))), inference(fof_simplification,[status(thm)],[mbox_s4])). 172.42/22.15 thf(c_0_27, plain, ![X64:$i, X63:$i]:((~(rel_s4 @ X64 @ X63)|![X62:mu]:(((exists_in_world @ X62 @ X63)=>![X61:mu]:(((exists_in_world @ X61 @ X63)=>![X60:mu]:(((exists_in_world @ X60 @ X63)=>(~(~((~(string @ X61 @ X63)|~(entry_box @ X60 @ X63))))|~(![X59:mu]:(((exists_in_world @ X59 @ X63)=>~(![X58:$i]:((~(rel_s4 @ X63 @ X58)|![X57:mu]:(((exists_in_world @ X57 @ X58)=>(~(do @ X62 @ X59 @ X57 @ X58)|(in @ X61 @ X60 @ X57 @ X58))))))))))))))))))), 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(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[ax3]), c_0_22]), c_0_23]), c_0_21]), c_0_24]), c_0_25]), c_0_26])])). 172.42/22.15 thf(c_0_28, negated_conjecture, ~(![X49:$i, X48:$i]:((~(rel_s4 @ X49 @ X48)|~(![X47:mu]:(((exists_in_world @ X47 @ X48)=>~(~(![X46:mu]:(((exists_in_world @ X46 @ X48)=>~(~(![X45:mu]:(((exists_in_world @ X45 @ X48)=>~(~(![X44:mu]:(((exists_in_world @ X44 @ X48)=>~(~((~(![X41:$i]:((~(rel_s4 @ X48 @ X41)|~((~(userid @ u @ X47 @ X41)|~(~((~(entry_box @ X46 @ X41)|~(number @ X46 @ one @ X41)))))))))|~(![X43:$i]:((~(rel_s4 @ X48 @ X43)|![X42:mu]:(((exists_in_world @ X42 @ X43)=>(~(do @ X44 @ X45 @ X42 @ X43)|(in @ X47 @ X46 @ X42 @ X43)))))))))))))))))))))))))))), 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(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[con])]), c_0_22]), c_0_23]), c_0_21]), c_0_24]), c_0_25]), c_0_26])])). 172.42/22.15 thf(c_0_29, plain, ![X56:$i]:(~(![X55:mu]:(((exists_in_world @ X55 @ X56)=>~(![X54:$i]:((~(rel_s4 @ X56 @ X54)|~((~(entry_box @ X55 @ X54)|~(number @ X55 @ one @ X54)))))))))), 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(fof_simplification,[status(thm)],[ax2]), c_0_22]), c_0_24]), c_0_25]), c_0_26])])). 172.42/22.15 thf(c_0_30, plain, ![X92:$i, X93:$i, X94:mu, X95:mu, X96:mu, X98:$i, X99:mu]:((((exists_in_world @ (esk9_5 @ X92 @ X93 @ X94 @ X95 @ X96) @ X93)|(~(string @ X95 @ X93)|~(entry_box @ X96 @ X93))|~(exists_in_world @ X96 @ X93)|~(exists_in_world @ X95 @ X93)|~(exists_in_world @ X94 @ X93)|~(rel_s4 @ X92 @ X93))&(~(rel_s4 @ X93 @ X98)|(~(exists_in_world @ X99 @ X98)|(~(do @ X94 @ (esk9_5 @ X92 @ X93 @ X94 @ X95 @ X96) @ X99 @ X98)|(in @ X95 @ X96 @ X99 @ X98)))|(~(string @ X95 @ X93)|~(entry_box @ X96 @ X93))|~(exists_in_world @ X96 @ X93)|~(exists_in_world @ X95 @ X93)|~(exists_in_world @ X94 @ X93)|~(rel_s4 @ X92 @ X93)))), 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])])])])])])). 172.42/22.15 thf(c_0_31, negated_conjecture, ![X77:mu, X78:mu, X79:mu, X80:mu]:(((rel_s4 @ esk2_0 @ esk3_0)&((((rel_s4 @ esk3_0 @ (esk5_4 @ X77 @ X78 @ X79 @ X80))|(rel_s4 @ esk3_0 @ (esk4_4 @ X77 @ X78 @ X79 @ X80))|~(exists_in_world @ X80 @ esk3_0)|~(exists_in_world @ X79 @ esk3_0)|~(exists_in_world @ X78 @ esk3_0)|~(exists_in_world @ X77 @ esk3_0))&(((exists_in_world @ (esk6_4 @ X77 @ X78 @ X79 @ X80) @ (esk5_4 @ X77 @ X78 @ X79 @ X80))|(rel_s4 @ esk3_0 @ (esk4_4 @ X77 @ X78 @ X79 @ X80))|~(exists_in_world @ X80 @ esk3_0)|~(exists_in_world @ X79 @ esk3_0)|~(exists_in_world @ X78 @ esk3_0)|~(exists_in_world @ X77 @ esk3_0))&(((do @ X80 @ X79 @ (esk6_4 @ X77 @ X78 @ X79 @ X80) @ (esk5_4 @ X77 @ X78 @ X79 @ X80))|(rel_s4 @ esk3_0 @ (esk4_4 @ X77 @ X78 @ X79 @ X80))|~(exists_in_world @ X80 @ esk3_0)|~(exists_in_world @ X79 @ esk3_0)|~(exists_in_world @ X78 @ esk3_0)|~(exists_in_world @ X77 @ esk3_0))&(~(in @ X77 @ X78 @ (esk6_4 @ X77 @ X78 @ X79 @ X80) @ (esk5_4 @ X77 @ X78 @ X79 @ X80))|(rel_s4 @ esk3_0 @ (esk4_4 @ X77 @ X78 @ X79 @ X80))|~(exists_in_world @ X80 @ esk3_0)|~(exists_in_world @ X79 @ esk3_0)|~(exists_in_world @ X78 @ esk3_0)|~(exists_in_world @ X77 @ esk3_0)))))&(((rel_s4 @ esk3_0 @ (esk5_4 @ X77 @ X78 @ X79 @ X80))|(~(userid @ u @ X77 @ (esk4_4 @ X77 @ X78 @ X79 @ X80))|(~(entry_box @ X78 @ (esk4_4 @ X77 @ X78 @ X79 @ X80))|~(number @ X78 @ one @ (esk4_4 @ X77 @ X78 @ X79 @ X80))))|~(exists_in_world @ X80 @ esk3_0)|~(exists_in_world @ X79 @ esk3_0)|~(exists_in_world @ X78 @ esk3_0)|~(exists_in_world @ X77 @ esk3_0))&(((exists_in_world @ (esk6_4 @ X77 @ X78 @ X79 @ X80) @ (esk5_4 @ X77 @ X78 @ X79 @ X80))|(~(userid @ u @ X77 @ (esk4_4 @ X77 @ X78 @ X79 @ X80))|(~(entry_box @ X78 @ (esk4_4 @ X77 @ X78 @ X79 @ X80))|~(number @ X78 @ one @ (esk4_4 @ X77 @ X78 @ X79 @ X80))))|~(exists_in_world @ X80 @ esk3_0)|~(exists_in_world @ X79 @ esk3_0)|~(exists_in_world @ X78 @ esk3_0)|~(exists_in_world @ X77 @ esk3_0))&(((do @ X80 @ X79 @ (esk6_4 @ X77 @ X78 @ X79 @ X80) @ (esk5_4 @ X77 @ X78 @ X79 @ X80))|(~(userid @ u @ X77 @ (esk4_4 @ X77 @ X78 @ X79 @ X80))|(~(entry_box @ X78 @ (esk4_4 @ X77 @ X78 @ X79 @ X80))|~(number @ X78 @ one @ (esk4_4 @ X77 @ X78 @ X79 @ X80))))|~(exists_in_world @ X80 @ esk3_0)|~(exists_in_world @ X79 @ esk3_0)|~(exists_in_world @ X78 @ esk3_0)|~(exists_in_world @ X77 @ esk3_0))&(~(in @ X77 @ X78 @ (esk6_4 @ X77 @ X78 @ X79 @ X80) @ (esk5_4 @ X77 @ X78 @ X79 @ X80))|(~(userid @ u @ X77 @ (esk4_4 @ X77 @ X78 @ X79 @ X80))|(~(entry_box @ X78 @ (esk4_4 @ X77 @ X78 @ X79 @ X80))|~(number @ X78 @ one @ (esk4_4 @ X77 @ X78 @ X79 @ X80))))|~(exists_in_world @ X80 @ esk3_0)|~(exists_in_world @ X79 @ esk3_0)|~(exists_in_world @ X78 @ esk3_0)|~(exists_in_world @ X77 @ esk3_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_28])])])])])])). 172.42/22.15 thf(c_0_32, plain, ![X88:$i, X90:$i]:(((exists_in_world @ (esk8_1 @ X88) @ X88)&(((entry_box @ (esk8_1 @ X88) @ X90)|~(rel_s4 @ X88 @ X90))&((number @ (esk8_1 @ X88) @ one @ X90)|~(rel_s4 @ X88 @ X90))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])])])). 172.42/22.15 thf(c_0_33, plain, ![X53:$i, X52:$i]:((~(rel_s4 @ X53 @ X52)|~(![X51:mu]:(((exists_in_world @ X51 @ X52)=>~(![X50:$i]:((~(rel_s4 @ X52 @ X50)|~((~(userid @ u @ X51 @ X50)|~(string @ X51 @ X50))))))))))), 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(fof_simplification,[status(thm)],[ax1]), c_0_22]), c_0_24]), c_0_25]), c_0_26])])). 172.42/22.15 thf(c_0_34, plain, ![X7:$i, X13:mu, X19:mu, X18:mu, X15:$i, X11:mu, X3:$i]:(((in @ X18 @ X19 @ X11 @ X7)|~((rel_s4 @ X3 @ X7))|~((exists_in_world @ X11 @ X7))|~((do @ X13 @ (esk9_5 @ X15 @ X3 @ X13 @ X18 @ X19) @ X11 @ X7))|~((string @ X18 @ X3))|~((entry_box @ X19 @ X3))|~((exists_in_world @ X19 @ X3))|~((exists_in_world @ X18 @ X3))|~((exists_in_world @ X13 @ X3))|~((rel_s4 @ X15 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_30])). 172.42/22.15 thf(c_0_35, negated_conjecture, ![X11:mu, X13:mu, X19:mu, X18:mu]:(((do @ X11 @ X13 @ (esk6_4 @ X18 @ X19 @ X13 @ X11) @ (esk5_4 @ X18 @ X19 @ X13 @ X11))|(rel_s4 @ esk3_0 @ (esk4_4 @ X18 @ X19 @ X13 @ X11))|~((exists_in_world @ X11 @ esk3_0))|~((exists_in_world @ X13 @ esk3_0))|~((exists_in_world @ X19 @ esk3_0))|~((exists_in_world @ X18 @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_31])). 172.42/22.15 thf(c_0_36, negated_conjecture, ![X19:mu, X18:mu, X13:mu, X11:mu]:(((exists_in_world @ (esk6_4 @ X11 @ X13 @ X18 @ X19) @ (esk5_4 @ X11 @ X13 @ X18 @ X19))|(rel_s4 @ esk3_0 @ (esk4_4 @ X11 @ X13 @ X18 @ X19))|~((exists_in_world @ X19 @ esk3_0))|~((exists_in_world @ X18 @ esk3_0))|~((exists_in_world @ X13 @ esk3_0))|~((exists_in_world @ X11 @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_31])). 172.42/22.15 thf(c_0_37, negated_conjecture, ![X11:mu, X13:mu, X19:mu, X18:mu]:(((do @ X11 @ X13 @ (esk6_4 @ X18 @ X19 @ X13 @ X11) @ (esk5_4 @ X18 @ X19 @ X13 @ X11))|~((userid @ u @ X18 @ (esk4_4 @ X18 @ X19 @ X13 @ X11)))|~((entry_box @ X19 @ (esk4_4 @ X18 @ X19 @ X13 @ X11)))|~((number @ X19 @ one @ (esk4_4 @ X18 @ X19 @ X13 @ X11)))|~((exists_in_world @ X11 @ esk3_0))|~((exists_in_world @ X13 @ esk3_0))|~((exists_in_world @ X19 @ esk3_0))|~((exists_in_world @ X18 @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_31])). 172.42/22.15 thf(c_0_38, negated_conjecture, ![X19:mu, X18:mu, X13:mu, X11:mu]:(((exists_in_world @ (esk6_4 @ X11 @ X13 @ X18 @ X19) @ (esk5_4 @ X11 @ X13 @ X18 @ X19))|~((userid @ u @ X11 @ (esk4_4 @ X11 @ X13 @ X18 @ X19)))|~((entry_box @ X13 @ (esk4_4 @ X11 @ X13 @ X18 @ X19)))|~((number @ X13 @ one @ (esk4_4 @ X11 @ X13 @ X18 @ X19)))|~((exists_in_world @ X19 @ esk3_0))|~((exists_in_world @ X18 @ esk3_0))|~((exists_in_world @ X13 @ esk3_0))|~((exists_in_world @ X11 @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_31])). 172.42/22.15 thf(c_0_39, negated_conjecture, ![X19:mu, X18:mu, X13:mu, X11:mu]:(((rel_s4 @ esk3_0 @ (esk5_4 @ X11 @ X13 @ X18 @ X19))|~((userid @ u @ X11 @ (esk4_4 @ X11 @ X13 @ X18 @ X19)))|~((entry_box @ X13 @ (esk4_4 @ X11 @ X13 @ X18 @ X19)))|~((number @ X13 @ one @ (esk4_4 @ X11 @ X13 @ X18 @ X19)))|~((exists_in_world @ X19 @ esk3_0))|~((exists_in_world @ X18 @ esk3_0))|~((exists_in_world @ X13 @ esk3_0))|~((exists_in_world @ X11 @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_31])). 172.42/22.15 thf(c_0_40, plain, ![X3:$i, X7:$i]:(((number @ (esk8_1 @ X3) @ one @ X7)|~((rel_s4 @ X3 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_32])). 172.42/22.15 thf(c_0_41, plain, ![X3:$i, X7:$i]:(((entry_box @ (esk8_1 @ X3) @ X7)|~((rel_s4 @ X3 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_32])). 172.42/22.15 thf(c_0_42, plain, ![X84:$i, X85:$i, X87:$i]:((((exists_in_world @ (esk7_2 @ X84 @ X85) @ X85)|~(rel_s4 @ X84 @ X85))&(((userid @ u @ (esk7_2 @ X84 @ X85) @ X87)|~(rel_s4 @ X85 @ X87)|~(rel_s4 @ X84 @ X85))&((string @ (esk7_2 @ X84 @ X85) @ X87)|~(rel_s4 @ X85 @ X87)|~(rel_s4 @ X84 @ X85))))), 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_33])])])])])])). 172.42/22.15 thf(c_0_43, negated_conjecture, ![X19:mu, X18:mu, X13:mu, X11:mu]:(((rel_s4 @ esk3_0 @ (esk4_4 @ X11 @ X13 @ X18 @ X19))|~((in @ X11 @ X13 @ (esk6_4 @ X11 @ X13 @ X18 @ X19) @ (esk5_4 @ X11 @ X13 @ X18 @ X19)))|~((exists_in_world @ X19 @ esk3_0))|~((exists_in_world @ X18 @ esk3_0))|~((exists_in_world @ X13 @ esk3_0))|~((exists_in_world @ X11 @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_31])). 172.42/22.15 thf(c_0_44, negated_conjecture, ![X3:$i, X18:mu, X20:mu, X19:mu, X13:mu, X11:mu, X7:$i]:(((in @ X11 @ X13 @ (esk6_4 @ X18 @ X19 @ (esk9_5 @ X3 @ X7 @ X20 @ X11 @ X13) @ X20) @ (esk5_4 @ X18 @ X19 @ (esk9_5 @ X3 @ X7 @ X20 @ X11 @ X13) @ X20))|(rel_s4 @ esk3_0 @ (esk4_4 @ X18 @ X19 @ (esk9_5 @ X3 @ X7 @ X20 @ X11 @ X13) @ X20))|~((rel_s4 @ X7 @ (esk5_4 @ X18 @ X19 @ (esk9_5 @ X3 @ X7 @ X20 @ X11 @ X13) @ X20)))|~((exists_in_world @ (esk9_5 @ X3 @ X7 @ X20 @ X11 @ X13) @ esk3_0))|~((exists_in_world @ X19 @ esk3_0))|~((exists_in_world @ X18 @ esk3_0))|~((exists_in_world @ X20 @ esk3_0))|~((rel_s4 @ X3 @ X7))|~((exists_in_world @ X13 @ X7))|~((exists_in_world @ X11 @ X7))|~((exists_in_world @ X20 @ X7))|~((string @ X11 @ X7))|~((entry_box @ X13 @ X7)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_36])). 172.42/22.15 thf(c_0_45, negated_conjecture, ![X19:mu, X18:mu, X13:mu, X11:mu]:((~((in @ X11 @ X13 @ (esk6_4 @ X11 @ X13 @ X18 @ X19) @ (esk5_4 @ X11 @ X13 @ X18 @ X19)))|~((userid @ u @ X11 @ (esk4_4 @ X11 @ X13 @ X18 @ X19)))|~((entry_box @ X13 @ (esk4_4 @ X11 @ X13 @ X18 @ X19)))|~((number @ X13 @ one @ (esk4_4 @ X11 @ X13 @ X18 @ X19)))|~((exists_in_world @ X19 @ esk3_0))|~((exists_in_world @ X18 @ esk3_0))|~((exists_in_world @ X13 @ esk3_0))|~((exists_in_world @ X11 @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_31])). 172.42/22.15 thf(c_0_46, negated_conjecture, ![X3:$i, X18:mu, X20:mu, X19:mu, X13:mu, X11:mu, X7:$i]:(((in @ X11 @ X13 @ (esk6_4 @ X18 @ X19 @ (esk9_5 @ X3 @ X7 @ X20 @ X11 @ X13) @ X20) @ (esk5_4 @ X18 @ X19 @ (esk9_5 @ X3 @ X7 @ X20 @ X11 @ X13) @ X20))|~((number @ X19 @ one @ (esk4_4 @ X18 @ X19 @ (esk9_5 @ X3 @ X7 @ X20 @ X11 @ X13) @ X20)))|~((userid @ u @ X18 @ (esk4_4 @ X18 @ X19 @ (esk9_5 @ X3 @ X7 @ X20 @ X11 @ X13) @ X20)))|~((rel_s4 @ X7 @ (esk5_4 @ X18 @ X19 @ (esk9_5 @ X3 @ X7 @ X20 @ X11 @ X13) @ X20)))|~((entry_box @ X19 @ (esk4_4 @ X18 @ X19 @ (esk9_5 @ X3 @ X7 @ X20 @ X11 @ X13) @ X20)))|~((exists_in_world @ (esk9_5 @ X3 @ X7 @ X20 @ X11 @ X13) @ esk3_0))|~((exists_in_world @ X19 @ esk3_0))|~((exists_in_world @ X18 @ esk3_0))|~((exists_in_world @ X20 @ esk3_0))|~((rel_s4 @ X3 @ X7))|~((exists_in_world @ X13 @ X7))|~((exists_in_world @ X11 @ X7))|~((exists_in_world @ X20 @ X7))|~((string @ X11 @ X7))|~((entry_box @ X13 @ X7)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_37]), c_0_38])). 172.42/22.15 thf(c_0_47, negated_conjecture, ![X3:$i, X18:mu, X13:mu, X11:mu]:(((rel_s4 @ esk3_0 @ (esk5_4 @ X11 @ (esk8_1 @ X3) @ X13 @ X18))|~((userid @ u @ X11 @ (esk4_4 @ X11 @ (esk8_1 @ X3) @ X13 @ X18)))|~((rel_s4 @ X3 @ (esk4_4 @ X11 @ (esk8_1 @ X3) @ X13 @ X18)))|~((exists_in_world @ (esk8_1 @ X3) @ esk3_0))|~((exists_in_world @ X18 @ esk3_0))|~((exists_in_world @ X13 @ esk3_0))|~((exists_in_world @ X11 @ esk3_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39, c_0_40]), c_0_41])). 172.42/22.15 thf(c_0_48, plain, ![X3:$i, X15:$i, X7:$i]:(((userid @ u @ (esk7_2 @ X3 @ X7) @ X15)|~((rel_s4 @ X7 @ X15))|~((rel_s4 @ X3 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_42])). 172.42/22.15 thf(c_0_49, negated_conjecture, ![X3:$i, X18:mu, X13:mu, X11:mu, X7:$i]:(((rel_s4 @ esk3_0 @ (esk4_4 @ X11 @ X13 @ (esk9_5 @ X3 @ X7 @ X18 @ X11 @ X13) @ X18))|~((rel_s4 @ X7 @ (esk5_4 @ X11 @ X13 @ (esk9_5 @ X3 @ X7 @ X18 @ X11 @ X13) @ X18)))|~((exists_in_world @ (esk9_5 @ X3 @ X7 @ X18 @ X11 @ X13) @ esk3_0))|~((exists_in_world @ X18 @ esk3_0))|~((exists_in_world @ X13 @ esk3_0))|~((exists_in_world @ X11 @ esk3_0))|~((rel_s4 @ X3 @ X7))|~((exists_in_world @ X13 @ X7))|~((exists_in_world @ X11 @ X7))|~((exists_in_world @ X18 @ X7))|~((string @ X11 @ X7))|~((entry_box @ X13 @ X7)))), inference(spm,[status(thm)],[c_0_43, c_0_44])). 172.42/22.15 thf(c_0_50, negated_conjecture, ![X19:mu, X18:mu, X13:mu, X11:mu]:(((rel_s4 @ esk3_0 @ (esk5_4 @ X11 @ X13 @ X18 @ X19))|(rel_s4 @ esk3_0 @ (esk4_4 @ X11 @ X13 @ X18 @ X19))|~((exists_in_world @ X19 @ esk3_0))|~((exists_in_world @ X18 @ esk3_0))|~((exists_in_world @ X13 @ esk3_0))|~((exists_in_world @ X11 @ esk3_0)))), inference(split_conjunct,[status(thm)],[c_0_31])). 172.42/22.15 thf(c_0_51, plain, ![X3:$i, X18:mu, X13:mu, X11:mu, X7:$i]:(((exists_in_world @ (esk9_5 @ X3 @ X7 @ X11 @ X13 @ X18) @ X7)|~((string @ X13 @ X7))|~((entry_box @ X18 @ X7))|~((exists_in_world @ X18 @ X7))|~((exists_in_world @ X13 @ X7))|~((exists_in_world @ X11 @ X7))|~((rel_s4 @ X3 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_30])). 172.42/22.15 thf(c_0_52, plain, ((mtransitive)=(^[Z0/* 6 */:$i > $i > $o]:(![X15:$i, X16:$i, X17:$i]:((((Z0 @ X15 @ X16)&(Z0 @ X16 @ X17))=>(Z0 @ X15 @ X17)))))), inference(fof_simplification,[status(thm)],[mtransitive])). 172.42/22.15 thf(c_0_53, negated_conjecture, ![X3:$i, X18:mu, X13:mu, X11:mu, X7:$i]:((~((number @ X11 @ one @ (esk4_4 @ X13 @ X11 @ (esk9_5 @ X3 @ X7 @ X18 @ X13 @ X11) @ X18)))|~((userid @ u @ X13 @ (esk4_4 @ X13 @ X11 @ (esk9_5 @ X3 @ X7 @ X18 @ X13 @ X11) @ X18)))|~((entry_box @ X11 @ (esk4_4 @ X13 @ X11 @ (esk9_5 @ X3 @ X7 @ X18 @ X13 @ X11) @ X18)))|~((rel_s4 @ X7 @ (esk5_4 @ X13 @ X11 @ (esk9_5 @ X3 @ X7 @ X18 @ X13 @ X11) @ X18)))|~((exists_in_world @ (esk9_5 @ X3 @ X7 @ X18 @ X13 @ X11) @ esk3_0))|~((exists_in_world @ X18 @ esk3_0))|~((exists_in_world @ X11 @ esk3_0))|~((exists_in_world @ X13 @ esk3_0))|~((rel_s4 @ X3 @ X7))|~((exists_in_world @ X11 @ X7))|~((exists_in_world @ X13 @ X7))|~((exists_in_world @ X18 @ X7))|~((string @ X13 @ X7))|~((entry_box @ X11 @ X7)))), inference(spm,[status(thm)],[c_0_45, c_0_46])). 172.42/22.15 thf(c_0_54, negated_conjecture, ![X3:$i, X15:$i, X13:mu, X11:mu, X7:$i]:(((rel_s4 @ esk3_0 @ (esk5_4 @ (esk7_2 @ X3 @ X7) @ (esk8_1 @ X15) @ X11 @ X13))|~((rel_s4 @ X15 @ (esk4_4 @ (esk7_2 @ X3 @ X7) @ (esk8_1 @ X15) @ X11 @ X13)))|~((rel_s4 @ X7 @ (esk4_4 @ (esk7_2 @ X3 @ X7) @ (esk8_1 @ X15) @ X11 @ X13)))|~((exists_in_world @ (esk7_2 @ X3 @ X7) @ esk3_0))|~((exists_in_world @ (esk8_1 @ X15) @ esk3_0))|~((exists_in_world @ X13 @ esk3_0))|~((exists_in_world @ X11 @ esk3_0))|~((rel_s4 @ X3 @ X7)))), inference(spm,[status(thm)],[c_0_47, c_0_48])). 172.42/22.15 thf(c_0_55, negated_conjecture, ![X3:$i, X11:mu, X18:mu, X13:mu]:(((rel_s4 @ esk3_0 @ (esk4_4 @ X11 @ X13 @ (esk9_5 @ X3 @ esk3_0 @ X18 @ X11 @ X13) @ X18))|~((exists_in_world @ X18 @ esk3_0))|~((exists_in_world @ X13 @ esk3_0))|~((exists_in_world @ X11 @ esk3_0))|~((rel_s4 @ X3 @ esk3_0))|~((string @ X11 @ esk3_0))|~((entry_box @ X13 @ esk3_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_51])). 172.42/22.15 thf(c_0_56, plain, ![X3:$i]:((exists_in_world @ (esk8_1 @ X3) @ X3)), inference(split_conjunct,[status(thm)],[c_0_32])). 172.42/22.15 thf(c_0_57, plain, ![X37:$i, X38:$i, X39:$i]:((((rel_s4 @ X37 @ X38)&(rel_s4 @ X38 @ X39))=>(rel_s4 @ X37 @ X39))), inference(apply_def,[status(thm)],[a2, c_0_52])). 172.42/22.15 thf(c_0_58, plain, ((mreflexive)=(^[Z0/* 6 */:$i > $i > $o]:(![X15:$i]:((Z0 @ X15 @ X15))))), inference(fof_simplification,[status(thm)],[mreflexive])). 172.42/22.15 thf(c_0_59, negated_conjecture, ![X3:$i, X7:$i, X11:mu, X13:mu, X15:$i]:((~((userid @ u @ X11 @ (esk4_4 @ X11 @ (esk8_1 @ X3) @ (esk9_5 @ X7 @ X15 @ X13 @ X11 @ (esk8_1 @ X3)) @ X13)))|~((rel_s4 @ X15 @ (esk5_4 @ X11 @ (esk8_1 @ X3) @ (esk9_5 @ X7 @ X15 @ X13 @ X11 @ (esk8_1 @ X3)) @ X13)))|~((rel_s4 @ X3 @ (esk4_4 @ X11 @ (esk8_1 @ X3) @ (esk9_5 @ X7 @ X15 @ X13 @ X11 @ (esk8_1 @ X3)) @ X13)))|~((exists_in_world @ (esk9_5 @ X7 @ X15 @ X13 @ X11 @ (esk8_1 @ X3)) @ esk3_0))|~((exists_in_world @ (esk8_1 @ X3) @ esk3_0))|~((exists_in_world @ (esk8_1 @ X3) @ X15))|~((entry_box @ (esk8_1 @ X3) @ X15))|~((exists_in_world @ X13 @ esk3_0))|~((exists_in_world @ X11 @ esk3_0))|~((rel_s4 @ X7 @ X15))|~((exists_in_world @ X11 @ X15))|~((exists_in_world @ X13 @ X15))|~((string @ X11 @ X15)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_40]), c_0_41])). 172.42/22.15 thf(c_0_60, negated_conjecture, ![X3:$i, X15:$i, X11:mu, X7:$i]:(((rel_s4 @ esk3_0 @ (esk5_4 @ (esk7_2 @ X3 @ X7) @ (esk8_1 @ esk3_0) @ (esk9_5 @ X15 @ esk3_0 @ X11 @ (esk7_2 @ X3 @ X7) @ (esk8_1 @ esk3_0)) @ X11))|~((rel_s4 @ X7 @ (esk4_4 @ (esk7_2 @ X3 @ X7) @ (esk8_1 @ esk3_0) @ (esk9_5 @ X15 @ esk3_0 @ X11 @ (esk7_2 @ X3 @ X7) @ (esk8_1 @ esk3_0)) @ X11)))|~((exists_in_world @ (esk9_5 @ X15 @ esk3_0 @ X11 @ (esk7_2 @ X3 @ X7) @ (esk8_1 @ esk3_0)) @ esk3_0))|~((exists_in_world @ (esk7_2 @ X3 @ X7) @ esk3_0))|~((string @ (esk7_2 @ X3 @ X7) @ esk3_0))|~((entry_box @ (esk8_1 @ esk3_0) @ esk3_0))|~((exists_in_world @ X11 @ esk3_0))|~((rel_s4 @ X15 @ esk3_0))|~((rel_s4 @ X3 @ X7)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_56])])). 172.42/22.15 thf(c_0_61, plain, ![X3:$i, X7:$i]:(((exists_in_world @ (esk7_2 @ X3 @ X7) @ X7)|~((rel_s4 @ X3 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_42])). 172.42/22.15 thf(c_0_62, plain, ![X67:$i, X68:$i, X69:$i]:((~(rel_s4 @ X67 @ X68)|~(rel_s4 @ X68 @ X69)|(rel_s4 @ X67 @ X69))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])])). 172.42/22.15 thf(c_0_63, plain, ![X40:$i]:((rel_s4 @ X40 @ X40)), inference(apply_def,[status(thm)],[a1, c_0_58])). 172.42/22.15 thf(c_0_64, negated_conjecture, ![X3:$i, X7:$i, X11:mu, X16:$i, X17:$i, X15:$i]:((~((rel_s4 @ X3 @ (esk5_4 @ (esk7_2 @ X7 @ X15) @ (esk8_1 @ X16) @ (esk9_5 @ X17 @ X3 @ X11 @ (esk7_2 @ X7 @ X15) @ (esk8_1 @ X16)) @ X11)))|~((rel_s4 @ X16 @ (esk4_4 @ (esk7_2 @ X7 @ X15) @ (esk8_1 @ X16) @ (esk9_5 @ X17 @ X3 @ X11 @ (esk7_2 @ X7 @ X15) @ (esk8_1 @ X16)) @ X11)))|~((rel_s4 @ X15 @ (esk4_4 @ (esk7_2 @ X7 @ X15) @ (esk8_1 @ X16) @ (esk9_5 @ X17 @ X3 @ X11 @ (esk7_2 @ X7 @ X15) @ (esk8_1 @ X16)) @ X11)))|~((exists_in_world @ (esk9_5 @ X17 @ X3 @ X11 @ (esk7_2 @ X7 @ X15) @ (esk8_1 @ X16)) @ esk3_0))|~((exists_in_world @ (esk7_2 @ X7 @ X15) @ esk3_0))|~((exists_in_world @ (esk8_1 @ X16) @ esk3_0))|~((exists_in_world @ (esk7_2 @ X7 @ X15) @ X3))|~((string @ (esk7_2 @ X7 @ X15) @ X3))|~((exists_in_world @ (esk8_1 @ X16) @ X3))|~((entry_box @ (esk8_1 @ X16) @ X3))|~((exists_in_world @ X11 @ esk3_0))|~((rel_s4 @ X17 @ X3))|~((exists_in_world @ X11 @ X3))|~((rel_s4 @ X7 @ X15)))), inference(spm,[status(thm)],[c_0_59, c_0_48])). 172.42/22.15 thf(c_0_65, negated_conjecture, ![X11:mu, X7:$i, X3:$i]:(((rel_s4 @ esk3_0 @ (esk5_4 @ (esk7_2 @ X3 @ esk3_0) @ (esk8_1 @ esk3_0) @ (esk9_5 @ X7 @ esk3_0 @ X11 @ (esk7_2 @ X3 @ esk3_0) @ (esk8_1 @ esk3_0)) @ X11))|~((exists_in_world @ (esk9_5 @ X7 @ esk3_0 @ X11 @ (esk7_2 @ X3 @ esk3_0) @ (esk8_1 @ esk3_0)) @ esk3_0))|~((string @ (esk7_2 @ X3 @ esk3_0) @ esk3_0))|~((entry_box @ (esk8_1 @ esk3_0) @ esk3_0))|~((exists_in_world @ X11 @ esk3_0))|~((rel_s4 @ X7 @ esk3_0))|~((rel_s4 @ X3 @ esk3_0)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_55]), c_0_56])]), c_0_61])). 172.42/22.15 thf(c_0_66, plain, ![X3:$i, X7:$i, X15:$i]:(((rel_s4 @ X3 @ X15)|~((rel_s4 @ X3 @ X7))|~((rel_s4 @ X7 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_62])). 172.42/22.15 thf(c_0_67, plain, ![X70:$i]:((rel_s4 @ X70 @ X70)), inference(variable_rename,[status(thm)],[c_0_63])). 172.42/22.15 thf(c_0_68, negated_conjecture, ![X11:mu, X7:$i, X3:$i]:((~((rel_s4 @ esk3_0 @ (esk4_4 @ (esk7_2 @ X3 @ esk3_0) @ (esk8_1 @ esk3_0) @ (esk9_5 @ X7 @ esk3_0 @ X11 @ (esk7_2 @ X3 @ esk3_0) @ (esk8_1 @ esk3_0)) @ X11)))|~((exists_in_world @ (esk9_5 @ X7 @ esk3_0 @ X11 @ (esk7_2 @ X3 @ esk3_0) @ (esk8_1 @ esk3_0)) @ esk3_0))|~((string @ (esk7_2 @ X3 @ esk3_0) @ esk3_0))|~((entry_box @ (esk8_1 @ esk3_0) @ esk3_0))|~((exists_in_world @ X11 @ esk3_0))|~((rel_s4 @ X7 @ esk3_0))|~((rel_s4 @ X3 @ esk3_0)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_56])]), c_0_61])). 172.42/22.15 thf(c_0_69, negated_conjecture, ![X3:$i, X7:$i, X11:mu, X18:mu, X13:mu]:(((rel_s4 @ X3 @ (esk4_4 @ X11 @ X13 @ (esk9_5 @ X7 @ esk3_0 @ X18 @ X11 @ X13) @ X18))|~((rel_s4 @ X3 @ esk3_0))|~((exists_in_world @ X18 @ esk3_0))|~((exists_in_world @ X13 @ esk3_0))|~((exists_in_world @ X11 @ esk3_0))|~((rel_s4 @ X7 @ esk3_0))|~((string @ X11 @ esk3_0))|~((entry_box @ X13 @ esk3_0)))), inference(spm,[status(thm)],[c_0_66, c_0_55])). 172.42/22.15 thf(c_0_70, plain, ![X3:$i]:((rel_s4 @ X3 @ X3)), inference(split_conjunct,[status(thm)],[c_0_67])). 172.42/22.15 thf(c_0_71, negated_conjecture, ![X3:$i, X11:mu, X7:$i]:((~((exists_in_world @ (esk9_5 @ X3 @ esk3_0 @ X11 @ (esk7_2 @ X7 @ esk3_0) @ (esk8_1 @ esk3_0)) @ esk3_0))|~((string @ (esk7_2 @ X7 @ esk3_0) @ esk3_0))|~((entry_box @ (esk8_1 @ esk3_0) @ esk3_0))|~((exists_in_world @ X11 @ esk3_0))|~((rel_s4 @ X3 @ esk3_0))|~((rel_s4 @ X7 @ esk3_0)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68, c_0_69]), c_0_70]), c_0_56])]), c_0_61])). 172.42/22.15 thf(c_0_72, negated_conjecture, ![X3:$i]:((~((string @ (esk7_2 @ X3 @ esk3_0) @ esk3_0))|~((entry_box @ (esk8_1 @ esk3_0) @ esk3_0))|~((rel_s4 @ X3 @ esk3_0)))), inference(csr,[status(thm)],[inference(condense,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_51]), c_0_56])])]), c_0_61])). 172.42/22.15 thf(c_0_73, plain, ![X3:$i, X15:$i, X7:$i]:(((string @ (esk7_2 @ X3 @ X7) @ X15)|~((rel_s4 @ X7 @ X15))|~((rel_s4 @ X3 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_42])). 172.42/22.15 thf(c_0_74, negated_conjecture, ![X3:$i]:((~((entry_box @ (esk8_1 @ esk3_0) @ esk3_0))|~((rel_s4 @ X3 @ esk3_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_73]), c_0_70])])). 172.42/22.15 thf(c_0_75, negated_conjecture, (rel_s4 @ esk2_0 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_31])). 172.42/22.15 thf(c_0_76, negated_conjecture, ![X3:$i]:(~((rel_s4 @ X3 @ esk3_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_41]), c_0_70])])). 172.42/22.15 thf(c_0_77, negated_conjecture, ($false), inference(sr,[status(thm)],[c_0_75, c_0_76]), ['proof']). 172.42/22.15 # SZS output end CNFRefutation 172.42/22.15 # Parsed axioms : 86 172.42/22.15 # Removed by relevancy pruning/SinE : 0 172.42/22.15 # Initial clauses : 67 172.42/22.15 # Removed in clause preprocessing : 44 172.42/22.15 # Initial clauses in saturation : 23 172.42/22.15 # Processed clauses : 9239 172.42/22.15 # ...of these trivial : 0 172.42/22.15 # ...subsumed : 968 172.42/22.15 # ...remaining for further processing : 8271 172.42/22.15 # Other redundant clauses eliminated : 0 172.42/22.15 # Clauses deleted for lack of memory : 0 172.42/22.15 # Backward-subsumed : 5561 172.42/22.15 # Backward-rewritten : 0 172.42/22.15 # Generated clauses : 38139 172.42/22.15 # ...of the previous two non-redundant : 36856 172.42/22.15 # ...aggressively subsumed : 0 172.42/22.15 # Contextual simplify-reflections : 9 172.42/22.15 # Paramodulations : 38138 172.42/22.15 # Factorizations : 0 172.42/22.15 # NegExts : 0 172.42/22.15 # Equation resolutions : 0 172.42/22.15 # Disequality decompositions : 0 172.42/22.15 # Total rewrite steps : 1293 172.42/22.15 # ...of those cached : 647 172.42/22.15 # Propositional unsat checks : 0 172.42/22.15 # Propositional check models : 0 172.42/22.15 # Propositional check unsatisfiable : 0 172.42/22.15 # Propositional clauses : 0 172.42/22.15 # Propositional clauses after purity: 0 172.42/22.15 # Propositional unsat core size : 0 172.42/22.15 # Propositional preprocessing time : 0.000 172.42/22.15 # Propositional encoding time : 0.000 172.42/22.15 # Propositional solver time : 0.000 172.42/22.15 # Success case prop preproc time : 0.000 172.42/22.15 # Success case prop encoding time : 0.000 172.42/22.15 # Success case prop solver time : 0.000 172.42/22.15 # Current number of processed clauses : 2686 172.42/22.15 # Positive orientable unit clauses : 7 172.42/22.15 # Positive unorientable unit clauses: 0 172.42/22.15 # Negative unit clauses : 1 172.42/22.15 # Non-unit-clauses : 2678 172.42/22.15 # Current number of unprocessed clauses: 27663 172.42/22.15 # ...number of literals in the above : 221804 172.42/22.15 # Current number of archived formulas : 0 172.42/22.15 # Current number of archived clauses : 5585 172.42/22.15 # Clause-clause subsumption calls (NU) : 39738940 172.42/22.15 # Rec. Clause-clause subsumption calls : 4577006 172.42/22.15 # Non-unit clause-clause subsumptions : 985 172.42/22.15 # Unit Clause-clause subsumption calls : 5567 172.42/22.15 # Rewrite failures with RHS unbound : 0 172.42/22.15 # BW rewrite match attempts : 2 172.42/22.15 # BW rewrite match successes : 0 172.42/22.15 # Condensation attempts : 9239 172.42/22.15 # Condensation successes : 1 172.42/22.15 # Termbank termtop insertions : 2238780 172.42/22.15 # Search garbage collected termcells : 2509 172.42/22.15 172.42/22.15 # ------------------------------------------------- 172.42/22.15 # User time : 21.479 s 172.42/22.15 # System time : 0.072 s 172.42/22.15 # Total time : 21.551 s 172.42/22.15 # Maximum resident set size: 2312 pages 172.42/22.15 172.42/22.15 # ------------------------------------------------- 172.42/22.15 # User time : 21.482 s 172.42/22.15 # System time : 0.075 s 172.42/22.15 # Total time : 21.557 s 172.42/22.15 # Maximum resident set size: 1812 pages 172.42/22.15 % E exiting 172.42/22.15 % E exiting 172.42/22.15 EOF