0.03/0.13	% Problem    : Vampire---4.8_9598 : TPTP v0.0.0. Released v0.0.0.
0.03/0.14	% Command    : run_E %s %d THM
0.14/0.35	% Computer : n007.cluster.edu
0.14/0.35	% Model    : x86_64 x86_64
0.14/0.35	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.35	% Memory   : 8042.1875MB
0.14/0.35	% OS       : Linux 3.10.0-693.el7.x86_64
0.14/0.35	% CPULimit   : 1440
0.14/0.35	% WCLimit    : 180
0.14/0.35	% DateTime   : Mon Jul  3 12:37:58 EDT 2023
0.14/0.35	% CPUTime    : 
0.20/0.48	Running higher-order theorem provingRunning: /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=180 /export/starexec/sandbox2/tmp/tmp.1Gmo6mjKFW/Vampire---4.8_9598
0.20/0.48	# Version: 3.1pre001-ho
1.48/0.66	# Preprocessing class: HSMSSMSSMLLNHSN.
1.48/0.66	# Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
1.48/0.66	# Starting new_ho_10_cnf2 with 900s (5) cores
1.48/0.66	# Starting post_as_ho3 with 180s (1) cores
1.48/0.66	# Starting new_ho_12 with 180s (1) cores
1.48/0.66	# Starting new_bool_2 with 180s (1) cores
1.48/0.66	# new_ho_12 with pid 9778 completed with status 0
1.48/0.66	# Result found by new_ho_12
1.48/0.66	# Preprocessing class: HSMSSMSSMLLNHSN.
1.48/0.66	# Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
1.48/0.66	# Starting new_ho_10_cnf2 with 900s (5) cores
1.48/0.66	# Starting post_as_ho3 with 180s (1) cores
1.48/0.66	# Starting new_ho_12 with 180s (1) cores
1.48/0.66	# No SInE strategy applied
1.48/0.66	# Search class: HGHNM-FFMS32-SHSSMFNN
1.48/0.66	# partial match(2): HGUNM-FFMF32-SHSSMFNN
1.48/0.66	# Scheduled 6 strats onto 1 cores with 180 seconds (180 total)
1.48/0.66	# Starting new_ho_10 with 98s (1) cores
1.48/0.66	# new_ho_10 with pid 9784 completed with status 0
1.48/0.66	# Result found by new_ho_10
1.48/0.66	# Preprocessing class: HSMSSMSSMLLNHSN.
1.48/0.66	# Scheduled 4 strats onto 8 cores with 180 seconds (1440 total)
1.48/0.66	# Starting new_ho_10_cnf2 with 900s (5) cores
1.48/0.66	# Starting post_as_ho3 with 180s (1) cores
1.48/0.66	# Starting new_ho_12 with 180s (1) cores
1.48/0.66	# No SInE strategy applied
1.48/0.66	# Search class: HGHNM-FFMS32-SHSSMFNN
1.48/0.66	# partial match(2): HGUNM-FFMF32-SHSSMFNN
1.48/0.66	# Scheduled 6 strats onto 1 cores with 180 seconds (180 total)
1.48/0.66	# Starting new_ho_10 with 98s (1) cores
1.48/0.66	# Preprocessing time       : 0.005 s
1.48/0.66	# Presaturation interreduction done
1.48/0.66	
1.48/0.66	# Proof found!
1.48/0.66	# SZS status Theorem
1.48/0.66	# SZS output start CNFRefutation
1.48/0.66	thf(decl_22, type, qmltpeq: mu > mu > $i > $o).
1.48/0.66	thf(decl_24, type, mnot: ($i > $o) > $i > $o).
1.48/0.66	thf(decl_25, type, mor: ($i > $o) > ($i > $o) > $i > $o).
1.48/0.66	thf(decl_30, type, mand: ($i > $o) > ($i > $o) > $i > $o).
1.48/0.66	thf(decl_31, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
1.48/0.66	thf(decl_33, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
1.48/0.66	thf(decl_36, type, exists_in_world: mu > $i > $o).
1.48/0.66	thf(decl_37, type, mforall_ind: (mu > $i > $o) > $i > $o).
1.48/0.66	thf(decl_50, type, mvalid: ($i > $o) > $o).
1.48/0.66	thf(decl_58, type, in: mu > mu > $i > $o).
1.48/0.66	thf(decl_59, type, disjoint: mu > mu > $i > $o).
1.48/0.66	thf(decl_60, type, empty_set: mu).
1.48/0.66	thf(decl_61, type, set_intersection2: mu > mu > mu).
1.48/0.66	thf(decl_62, type, unordered_pair: mu > mu > mu).
1.48/0.66	thf(decl_63, type, epred1_4: $i > mu > mu > mu > $o).
1.48/0.66	thf(decl_64, type, epred2_4: $i > mu > mu > mu > $o).
1.48/0.66	thf(decl_67, type, esk3_0: $i).
1.48/0.66	thf(decl_68, type, esk4_0: mu).
1.48/0.66	thf(decl_69, type, esk5_0: mu).
1.48/0.66	thf(decl_70, type, esk6_0: mu).
1.48/0.66	thf(decl_71, type, esk7_2: $i > mu > mu).
1.48/0.66	thf(decl_73, type, esk9_4: mu > mu > mu > $i > mu).
1.48/0.66	thf(decl_74, type, esk10_4: mu > mu > mu > $i > mu).
1.48/0.66	thf(mimplies, axiom, ((mimplies)=(^[X4:$i > $o, X5:$i > $o]:(mor @ (mnot @ X4) @ X5))), file('/export/starexec/sandbox2/tmp/tmp.1Gmo6mjKFW/Vampire---4.8_9598', mimplies)).
1.48/0.66	thf(mnot, axiom, ((mnot)=(^[X4:$i > $o, X3:$i]:(~((X4 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.1Gmo6mjKFW/Vampire---4.8_9598', mnot)).
1.48/0.66	thf(mor, axiom, ((mor)=(^[X4:$i > $o, X5:$i > $o, X3:$i]:(((X4 @ X3)|(X5 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.1Gmo6mjKFW/Vampire---4.8_9598', mor)).
1.48/0.66	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.1Gmo6mjKFW/Vampire---4.8_9598', mforall_ind)).
1.48/0.66	thf(mvalid, axiom, ((mvalid)=(^[X4:$i > $o]:(![X3:$i]:((X4 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.1Gmo6mjKFW/Vampire---4.8_9598', mvalid)).
1.48/0.66	thf(mand, axiom, ((mand)=(^[X4:$i > $o, X5:$i > $o]:(mnot @ (mor @ (mnot @ X4) @ (mnot @ X5))))), file('/export/starexec/sandbox2/tmp/tmp.1Gmo6mjKFW/Vampire---4.8_9598', mand)).
1.48/0.66	thf(idempotence_k3_xboole_0, axiom, (mvalid @ (mforall_ind @ (^[X20:mu]:(mforall_ind @ (^[X21:mu]:(qmltpeq @ (set_intersection2 @ X20 @ X20) @ X20)))))), file('/export/starexec/sandbox2/tmp/tmp.1Gmo6mjKFW/Vampire---4.8_9598', idempotence_k3_xboole_0)).
1.48/0.66	thf(mequiv, axiom, ((mequiv)=(^[X4:$i > $o, X5:$i > $o]:(mand @ (mimplies @ X4 @ X5) @ (mimplies @ X5 @ X4)))), file('/export/starexec/sandbox2/tmp/tmp.1Gmo6mjKFW/Vampire---4.8_9598', mequiv)).
1.48/0.66	thf(symmetry, axiom, (mvalid @ (mforall_ind @ (^[X30:mu]:(mforall_ind @ (^[X31:mu]:(mimplies @ (qmltpeq @ X30 @ X31) @ (qmltpeq @ X31 @ X30))))))), file('/export/starexec/sandbox2/tmp/tmp.1Gmo6mjKFW/Vampire---4.8_9598', symmetry)).
1.48/0.66	thf(in_substitution_2, axiom, (mvalid @ (mforall_ind @ (^[X20:mu]:(mforall_ind @ (^[X21:mu]:(mforall_ind @ (^[X22:mu]:(mimplies @ (mand @ (qmltpeq @ X20 @ X21) @ (in @ X22 @ X20)) @ (in @ X22 @ X21))))))))), file('/export/starexec/sandbox2/tmp/tmp.1Gmo6mjKFW/Vampire---4.8_9598', in_substitution_2)).
1.48/0.66	thf(existence_of_set_intersection2_ax, axiom, ![X7:$i, X24:mu, X25:mu]:((exists_in_world @ (set_intersection2 @ X24 @ X25) @ X7)), file('/export/starexec/sandbox2/tmp/tmp.1Gmo6mjKFW/Vampire---4.8_9598', existence_of_set_intersection2_ax)).
1.48/0.66	thf(d1_xboole_0, axiom, (mvalid @ (mforall_ind @ (^[X20:mu]:(mequiv @ (qmltpeq @ X20 @ empty_set) @ (mforall_ind @ (^[X21:mu]:(mnot @ (in @ X21 @ X20)))))))), file('/export/starexec/sandbox2/tmp/tmp.1Gmo6mjKFW/Vampire---4.8_9598', d1_xboole_0)).
1.48/0.66	thf(d7_xboole_0, axiom, (mvalid @ (mforall_ind @ (^[X20:mu]:(mforall_ind @ (^[X21:mu]:(mequiv @ (disjoint @ X20 @ X21) @ (qmltpeq @ (set_intersection2 @ X20 @ X21) @ empty_set))))))), file('/export/starexec/sandbox2/tmp/tmp.1Gmo6mjKFW/Vampire---4.8_9598', d7_xboole_0)).
1.48/0.66	thf(existence_of_empty_set_ax, axiom, ![X7:$i]:((exists_in_world @ empty_set @ X7)), file('/export/starexec/sandbox2/tmp/tmp.1Gmo6mjKFW/Vampire---4.8_9598', existence_of_empty_set_ax)).
1.48/0.66	thf(d3_xboole_0, axiom, (mvalid @ (mforall_ind @ (^[X20:mu]:(mforall_ind @ (^[X21:mu]:(mforall_ind @ (^[X22:mu]:(mequiv @ (qmltpeq @ X22 @ (set_intersection2 @ X20 @ X21)) @ (mforall_ind @ (^[X23:mu]:(mequiv @ (in @ X23 @ X22) @ (mand @ (in @ X23 @ X20) @ (in @ X23 @ X21))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.1Gmo6mjKFW/Vampire---4.8_9598', d3_xboole_0)).
1.48/0.66	thf(disjoint_substitution_1, axiom, (mvalid @ (mforall_ind @ (^[X20:mu]:(mforall_ind @ (^[X21:mu]:(mforall_ind @ (^[X22:mu]:(mimplies @ (mand @ (qmltpeq @ X20 @ X21) @ (disjoint @ X20 @ X22)) @ (disjoint @ X21 @ X22))))))))), file('/export/starexec/sandbox2/tmp/tmp.1Gmo6mjKFW/Vampire---4.8_9598', disjoint_substitution_1)).
1.48/0.66	thf(commutativity_k2_tarski, axiom, (mvalid @ (mforall_ind @ (^[X20:mu]:(mforall_ind @ (^[X21:mu]:(qmltpeq @ (unordered_pair @ X20 @ X21) @ (unordered_pair @ X21 @ X20))))))), file('/export/starexec/sandbox2/tmp/tmp.1Gmo6mjKFW/Vampire---4.8_9598', commutativity_k2_tarski)).
1.48/0.66	thf(t55_zfmisc_1, conjecture, (mvalid @ (mforall_ind @ (^[X20:mu]:(mforall_ind @ (^[X21:mu]:(mforall_ind @ (^[X22:mu]:(mnot @ (mand @ (disjoint @ (unordered_pair @ X20 @ X21) @ X22) @ (in @ X20 @ X22)))))))))), file('/export/starexec/sandbox2/tmp/tmp.1Gmo6mjKFW/Vampire---4.8_9598', t55_zfmisc_1)).
1.48/0.66	thf(existence_of_unordered_pair_ax, axiom, ![X7:$i, X24:mu, X25:mu]:((exists_in_world @ (unordered_pair @ X24 @ X25) @ X7)), file('/export/starexec/sandbox2/tmp/tmp.1Gmo6mjKFW/Vampire---4.8_9598', existence_of_unordered_pair_ax)).
1.48/0.66	thf(d2_tarski, axiom, (mvalid @ (mforall_ind @ (^[X20:mu]:(mforall_ind @ (^[X21:mu]:(mforall_ind @ (^[X22:mu]:(mequiv @ (qmltpeq @ X22 @ (unordered_pair @ X20 @ X21)) @ (mforall_ind @ (^[X23:mu]:(mequiv @ (in @ X23 @ X22) @ (mor @ (qmltpeq @ X23 @ X20) @ (qmltpeq @ X23 @ X21))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.1Gmo6mjKFW/Vampire---4.8_9598', d2_tarski)).
1.48/0.66	thf(reflexivity, axiom, (mvalid @ (mforall_ind @ (^[X26:mu]:(qmltpeq @ X26 @ X26)))), file('/export/starexec/sandbox2/tmp/tmp.1Gmo6mjKFW/Vampire---4.8_9598', reflexivity)).
1.48/0.66	thf(c_0_21, plain, ((mimplies)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies])).
1.48/0.66	thf(c_0_22, plain, ((mnot)=(^[Z0/* 19 */:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])).
1.48/0.66	thf(c_0_23, plain, ((mor)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])).
1.48/0.66	thf(c_0_24, 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])).
1.48/0.66	thf(c_0_25, plain, ((mvalid)=(^[Z0/* 6 */:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])).
1.48/0.66	thf(c_0_26, plain, ((mand)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(~((((~((Z0 @ Z2)))|(~((Z1 @ Z2))))))))), inference(fof_simplification,[status(thm)],[mand])).
1.48/0.66	thf(c_0_27, 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_21, c_0_22]), c_0_23])).
1.48/0.66	thf(c_0_28, plain, ![X56:$i, X55:mu]:(((exists_in_world @ X55 @ X56)=>![X54:mu]:(((exists_in_world @ X54 @ X56)=>(qmltpeq @ (set_intersection2 @ X55 @ X55) @ X55 @ X56))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[idempotence_k3_xboole_0]), c_0_24]), c_0_25])).
1.48/0.66	thf(c_0_29, plain, ((mequiv)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(~((((~((((~((Z0 @ Z2)))|(Z1 @ Z2)))))|(~((((~((Z1 @ Z2)))|(Z0 @ Z2))))))))))), inference(fof_simplification,[status(thm)],[mequiv])).
1.48/0.66	thf(c_0_30, 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_26, c_0_22]), c_0_23])).
1.48/0.66	thf(c_0_31, plain, ![X119:$i, X118:mu]:(((exists_in_world @ X118 @ X119)=>![X117:mu]:(((exists_in_world @ X117 @ X119)=>(~(qmltpeq @ X118 @ X117 @ X119)|(qmltpeq @ X117 @ X118 @ X119)))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[symmetry]), c_0_27]), c_0_24]), c_0_25])])).
1.48/0.66	thf(c_0_32, plain, ![X147:$i, X148:mu, X149:mu]:((~(exists_in_world @ X148 @ X147)|(~(exists_in_world @ X149 @ X147)|(qmltpeq @ (set_intersection2 @ X148 @ X148) @ X148 @ X147)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])).
1.48/0.66	thf(c_0_33, plain, ((mequiv)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o, Z2:$i]:(~((((~((((~((Z0 @ Z2)))|(Z1 @ Z2)))))|(~((((~((Z1 @ Z2)))|(Z0 @ Z2))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_29, c_0_30]), c_0_27])).
1.48/0.66	thf(c_0_34, plain, ![X111:$i, X110:mu]:(((exists_in_world @ X110 @ X111)=>![X109:mu]:(((exists_in_world @ X109 @ X111)=>![X108:mu]:(((exists_in_world @ X108 @ X111)=>(~(~((~(qmltpeq @ X110 @ X109 @ X111)|~(in @ X108 @ X110 @ X111))))|(in @ X108 @ X109 @ X111)))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[in_substitution_2]), c_0_30]), c_0_27]), c_0_24]), c_0_25])])).
1.48/0.66	thf(c_0_35, plain, ![X212:$i, X213:mu, X214:mu]:((~(exists_in_world @ X213 @ X212)|(~(exists_in_world @ X214 @ X212)|(~(qmltpeq @ X213 @ X214 @ X212)|(qmltpeq @ X214 @ X213 @ X212))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])).
1.48/0.66	thf(c_0_36, plain, ![X13:mu, X11:mu, X3:$i]:(((qmltpeq @ (set_intersection2 @ X11 @ X11) @ X11 @ X3)|~((exists_in_world @ X11 @ X3))|~((exists_in_world @ X13 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_32])).
1.48/0.66	thf(c_0_37, plain, ![X228:$i, X229:mu, X230:mu]:((exists_in_world @ (set_intersection2 @ X229 @ X230) @ X228)), inference(variable_rename,[status(thm)],[existence_of_set_intersection2_ax])).
1.48/0.66	thf(c_0_38, plain, ![X96:$i, X95:mu]:(((exists_in_world @ X95 @ X96)=>~((~((~(qmltpeq @ X95 @ empty_set @ X96)|![X94:mu]:(((exists_in_world @ X94 @ X96)=>~(in @ X94 @ X95 @ X96)))))|~((~(![X94:mu]:(((exists_in_world @ X94 @ X96)=>~(in @ X94 @ X95 @ X96))))|(qmltpeq @ X95 @ empty_set @ X96))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[d1_xboole_0]), c_0_22]), c_0_33]), c_0_24]), c_0_25])])).
1.48/0.66	thf(c_0_39, plain, ![X203:$i, X204:mu, X205:mu, X206:mu]:((~(exists_in_world @ X204 @ X203)|(~(exists_in_world @ X205 @ X203)|(~(exists_in_world @ X206 @ X203)|(~(qmltpeq @ X204 @ X205 @ X203)|~(in @ X206 @ X204 @ X203)|(in @ X206 @ X205 @ X203)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])).
1.48/0.66	thf(c_0_40, plain, ![X13:mu, X11:mu, X3:$i]:(((qmltpeq @ X13 @ X11 @ X3)|~((exists_in_world @ X11 @ X3))|~((exists_in_world @ X13 @ X3))|~((qmltpeq @ X11 @ X13 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_35])).
1.48/0.66	thf(c_0_41, plain, ![X11:mu, X3:$i]:(((qmltpeq @ (set_intersection2 @ X11 @ X11) @ X11 @ X3)|~((exists_in_world @ X11 @ X3)))), inference(condense,[status(thm)],[c_0_36])).
1.48/0.66	thf(c_0_42, plain, ![X13:mu, X11:mu, X3:$i]:((exists_in_world @ (set_intersection2 @ X11 @ X13) @ X3)), inference(split_conjunct,[status(thm)],[c_0_37])).
1.48/0.66	thf(c_0_43, plain, ![X61:mu, X62:mu, X63:mu, X64:$i]:(((epred1_4 @ X64 @ X63 @ X62 @ X61)<=>~((~((~(qmltpeq @ X61 @ (set_intersection2 @ X63 @ X62) @ X64)|![X60:mu]:(((exists_in_world @ X60 @ X64)=>~((~((~(in @ X60 @ X61 @ X64)|~((~(in @ X60 @ X63 @ X64)|~(in @ X60 @ X62 @ X64)))))|~((~(~((~(in @ X60 @ X63 @ X64)|~(in @ X60 @ X62 @ X64))))|(in @ X60 @ X61 @ X64)))))))))|~((~(![X60:mu]:(((exists_in_world @ X60 @ X64)=>~((~((~(in @ X60 @ X61 @ X64)|~((~(in @ X60 @ X63 @ X64)|~(in @ X60 @ X62 @ X64)))))|~((~(~((~(in @ X60 @ X63 @ X64)|~(in @ X60 @ X62 @ X64))))|(in @ X60 @ X61 @ X64))))))))|(qmltpeq @ X61 @ (set_intersection2 @ X63 @ X62) @ X64))))))), introduced(definition)).
1.48/0.66	thf(c_0_44, plain, ![X87:$i, X86:mu]:(((exists_in_world @ X86 @ X87)=>![X85:mu]:(((exists_in_world @ X85 @ X87)=>~((~((~(disjoint @ X86 @ X85 @ X87)|(qmltpeq @ (set_intersection2 @ X86 @ X85) @ empty_set @ X87)))|~((~(qmltpeq @ (set_intersection2 @ X86 @ X85) @ empty_set @ X87)|(disjoint @ X86 @ X85 @ X87))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[d7_xboole_0]), c_0_33]), c_0_24]), c_0_25])])).
1.48/0.66	thf(c_0_45, plain, ![X188:$i, X189:mu, X190:mu]:(((~(qmltpeq @ X189 @ empty_set @ X188)|(~(exists_in_world @ X190 @ X188)|~(in @ X190 @ X189 @ X188))|~(exists_in_world @ X189 @ X188))&(((exists_in_world @ (esk7_2 @ X188 @ X189) @ X188)|(qmltpeq @ X189 @ empty_set @ X188)|~(exists_in_world @ X189 @ X188))&((in @ (esk7_2 @ X188 @ X189) @ X189 @ X188)|(qmltpeq @ X189 @ empty_set @ X188)|~(exists_in_world @ X189 @ X188))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])])])).
1.48/0.66	thf(c_0_46, plain, ![X13:mu, X18:mu, X11:mu, X3:$i]:(((in @ X18 @ X13 @ X3)|~((exists_in_world @ X11 @ X3))|~((exists_in_world @ X13 @ X3))|~((exists_in_world @ X18 @ X3))|~((qmltpeq @ X11 @ X13 @ X3))|~((in @ X18 @ X11 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_39])).
1.48/0.66	thf(c_0_47, plain, ![X11:mu, X3:$i]:(((qmltpeq @ X11 @ (set_intersection2 @ X11 @ X11) @ X3)|~((exists_in_world @ X11 @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_41]), c_0_42])])).
1.48/0.66	thf(c_0_48, plain, ![X61:mu, X62:mu, X63:mu, X64:$i]:(((epred1_4 @ X64 @ X63 @ X62 @ X61)=>~((~((~(qmltpeq @ X61 @ (set_intersection2 @ X63 @ X62) @ X64)|![X60:mu]:(((exists_in_world @ X60 @ X64)=>~((~((~(in @ X60 @ X61 @ X64)|~((~(in @ X60 @ X63 @ X64)|~(in @ X60 @ X62 @ X64)))))|~((~(~((~(in @ X60 @ X63 @ X64)|~(in @ X60 @ X62 @ X64))))|(in @ X60 @ X61 @ X64)))))))))|~((~(![X60:mu]:(((exists_in_world @ X60 @ X64)=>~((~((~(in @ X60 @ X61 @ X64)|~((~(in @ X60 @ X63 @ X64)|~(in @ X60 @ X62 @ X64)))))|~((~(~((~(in @ X60 @ X63 @ X64)|~(in @ X60 @ X62 @ X64))))|(in @ X60 @ X61 @ X64))))))))|(qmltpeq @ X61 @ (set_intersection2 @ X63 @ X62) @ X64))))))), inference(split_equiv,[status(thm)],[c_0_43])).
1.48/0.66	thf(c_0_49, plain, ![X179:$i, X180:mu, X181:mu]:(((~(disjoint @ X180 @ X181 @ X179)|(qmltpeq @ (set_intersection2 @ X180 @ X181) @ empty_set @ X179)|~(exists_in_world @ X181 @ X179)|~(exists_in_world @ X180 @ X179))&(~(qmltpeq @ (set_intersection2 @ X180 @ X181) @ empty_set @ X179)|(disjoint @ X180 @ X181 @ X179)|~(exists_in_world @ X181 @ X179)|~(exists_in_world @ X180 @ X179)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])])).
1.48/0.67	thf(c_0_50, plain, ![X221:$i]:((exists_in_world @ empty_set @ X221)), inference(variable_rename,[status(thm)],[existence_of_empty_set_ax])).
1.48/0.67	thf(c_0_51, plain, ![X13:mu, X11:mu, X3:$i]:((~((qmltpeq @ X11 @ empty_set @ X3))|~((exists_in_world @ X13 @ X3))|~((in @ X13 @ X11 @ X3))|~((exists_in_world @ X11 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_45])).
1.48/0.67	thf(c_0_52, plain, ![X13:mu, X11:mu, X3:$i]:(((in @ X11 @ (set_intersection2 @ X13 @ X13) @ X3)|~((in @ X11 @ X13 @ X3))|~((exists_in_world @ X11 @ X3))|~((exists_in_world @ X13 @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_47]), c_0_42])])).
1.48/0.67	thf(c_0_53, plain, ![X235:mu, X236:mu, X237:mu, X238:$i, X239:mu]:((((((in @ X239 @ X237 @ X238)|~(in @ X239 @ X235 @ X238)|~(exists_in_world @ X239 @ X238)|~(qmltpeq @ X235 @ (set_intersection2 @ X237 @ X236) @ X238)|~(epred1_4 @ X238 @ X237 @ X236 @ X235))&((in @ X239 @ X236 @ X238)|~(in @ X239 @ X235 @ X238)|~(exists_in_world @ X239 @ X238)|~(qmltpeq @ X235 @ (set_intersection2 @ X237 @ X236) @ X238)|~(epred1_4 @ X238 @ X237 @ X236 @ X235)))&(~(in @ X239 @ X237 @ X238)|~(in @ X239 @ X236 @ X238)|(in @ X239 @ X235 @ X238)|~(exists_in_world @ X239 @ X238)|~(qmltpeq @ X235 @ (set_intersection2 @ X237 @ X236) @ X238)|~(epred1_4 @ X238 @ X237 @ X236 @ X235)))&(((exists_in_world @ (esk9_4 @ X235 @ X236 @ X237 @ X238) @ X238)|(qmltpeq @ X235 @ (set_intersection2 @ X237 @ X236) @ X238)|~(epred1_4 @ X238 @ X237 @ X236 @ X235))&(((((in @ (esk9_4 @ X235 @ X236 @ X237 @ X238) @ X237 @ X238)|(in @ (esk9_4 @ X235 @ X236 @ X237 @ X238) @ X235 @ X238)|(qmltpeq @ X235 @ (set_intersection2 @ X237 @ X236) @ X238)|~(epred1_4 @ X238 @ X237 @ X236 @ X235))&((in @ (esk9_4 @ X235 @ X236 @ X237 @ X238) @ X236 @ X238)|(in @ (esk9_4 @ X235 @ X236 @ X237 @ X238) @ X235 @ X238)|(qmltpeq @ X235 @ (set_intersection2 @ X237 @ X236) @ X238)|~(epred1_4 @ X238 @ X237 @ X236 @ X235)))&(~(in @ (esk9_4 @ X235 @ X236 @ X237 @ X238) @ X235 @ X238)|(in @ (esk9_4 @ X235 @ X236 @ X237 @ X238) @ X235 @ X238)|(qmltpeq @ X235 @ (set_intersection2 @ X237 @ X236) @ X238)|~(epred1_4 @ X238 @ X237 @ X236 @ X235)))&((((in @ (esk9_4 @ X235 @ X236 @ X237 @ X238) @ X237 @ X238)|(~(in @ (esk9_4 @ X235 @ X236 @ X237 @ X238) @ X237 @ X238)|~(in @ (esk9_4 @ X235 @ X236 @ X237 @ X238) @ X236 @ X238))|(qmltpeq @ X235 @ (set_intersection2 @ X237 @ X236) @ X238)|~(epred1_4 @ X238 @ X237 @ X236 @ X235))&((in @ (esk9_4 @ X235 @ X236 @ X237 @ X238) @ X236 @ X238)|(~(in @ (esk9_4 @ X235 @ X236 @ X237 @ X238) @ X237 @ X238)|~(in @ (esk9_4 @ X235 @ X236 @ X237 @ X238) @ X236 @ X238))|(qmltpeq @ X235 @ (set_intersection2 @ X237 @ X236) @ X238)|~(epred1_4 @ X238 @ X237 @ X236 @ X235)))&(~(in @ (esk9_4 @ X235 @ X236 @ X237 @ X238) @ X235 @ X238)|(~(in @ (esk9_4 @ X235 @ X236 @ X237 @ X238) @ X237 @ X238)|~(in @ (esk9_4 @ X235 @ X236 @ X237 @ X238) @ X236 @ X238))|(qmltpeq @ X235 @ (set_intersection2 @ X237 @ X236) @ X238)|~(epred1_4 @ X238 @ X237 @ X236 @ X235))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])])])).
1.48/0.67	thf(c_0_54, plain, ![X13:mu, X11:mu, X3:$i]:(((qmltpeq @ (set_intersection2 @ X11 @ X13) @ empty_set @ X3)|~((disjoint @ X11 @ X13 @ X3))|~((exists_in_world @ X13 @ X3))|~((exists_in_world @ X11 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_49])).
1.48/0.67	thf(c_0_55, plain, ![X3:$i]:((exists_in_world @ empty_set @ X3)), inference(split_conjunct,[status(thm)],[c_0_50])).
1.48/0.67	thf(c_0_56, plain, ![X13:mu, X11:mu, X3:$i]:((~((qmltpeq @ (set_intersection2 @ X11 @ X11) @ empty_set @ X3))|~((in @ X13 @ X11 @ X3))|~((exists_in_world @ X13 @ X3))|~((exists_in_world @ X11 @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_42])])).
1.48/0.67	thf(c_0_57, plain, ![X64:$i, X63:mu]:(((exists_in_world @ X63 @ X64)=>![X62:mu]:(((exists_in_world @ X62 @ X64)=>![X61:mu]:(((exists_in_world @ X61 @ X64)=>(epred1_4 @ X64 @ X63 @ X62 @ X61))))))), inference(apply_def,[status(thm)],[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)],[d3_xboole_0]), c_0_30]), c_0_33]), c_0_24]), c_0_25])]), c_0_43])).
1.48/0.67	thf(c_0_58, plain, ![X135:$i, X134:mu]:(((exists_in_world @ X134 @ X135)=>![X133:mu]:(((exists_in_world @ X133 @ X135)=>![X132:mu]:(((exists_in_world @ X132 @ X135)=>(~(~((~(qmltpeq @ X134 @ X133 @ X135)|~(disjoint @ X134 @ X132 @ X135))))|(disjoint @ X133 @ X132 @ X135)))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[disjoint_substitution_1]), c_0_30]), c_0_27]), c_0_24]), c_0_25])])).
1.48/0.67	thf(c_0_59, plain, ![X125:$i, X124:mu]:(((exists_in_world @ X124 @ X125)=>![X123:mu]:(((exists_in_world @ X123 @ X125)=>(qmltpeq @ (unordered_pair @ X124 @ X123) @ (unordered_pair @ X123 @ X124) @ X125))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[commutativity_k2_tarski]), c_0_24]), c_0_25])).
1.48/0.67	thf(c_0_60, plain, ![X69:mu, X70:mu, X71:mu, X72:$i]:(((epred2_4 @ X72 @ X71 @ X70 @ X69)<=>~((~((~(qmltpeq @ X69 @ (unordered_pair @ X71 @ X70) @ X72)|![X68:mu]:(((exists_in_world @ X68 @ X72)=>~((~((~(in @ X68 @ X69 @ X72)|((qmltpeq @ X68 @ X71 @ X72)|(qmltpeq @ X68 @ X70 @ X72))))|~((~(((qmltpeq @ X68 @ X71 @ X72)|(qmltpeq @ X68 @ X70 @ X72)))|(in @ X68 @ X69 @ X72)))))))))|~((~(![X68:mu]:(((exists_in_world @ X68 @ X72)=>~((~((~(in @ X68 @ X69 @ X72)|((qmltpeq @ X68 @ X71 @ X72)|(qmltpeq @ X68 @ X70 @ X72))))|~((~(((qmltpeq @ X68 @ X71 @ X72)|(qmltpeq @ X68 @ X70 @ X72)))|(in @ X68 @ X69 @ X72))))))))|(qmltpeq @ X69 @ (unordered_pair @ X71 @ X70) @ X72))))))), introduced(definition)).
1.48/0.67	thf(c_0_61, plain, ![X11:mu, X3:$i, X13:mu, X18:mu, X19:mu]:(((in @ X11 @ X19 @ X3)|~((in @ X11 @ X13 @ X3))|~((in @ X11 @ X18 @ X3))|~((exists_in_world @ X11 @ X3))|~((qmltpeq @ X19 @ (set_intersection2 @ X13 @ X18) @ X3))|~((epred1_4 @ X3 @ X13 @ X18 @ X19)))), inference(split_conjunct,[status(thm)],[c_0_53])).
1.48/0.67	thf(c_0_62, plain, ![X13:mu, X11:mu, X3:$i]:(((qmltpeq @ empty_set @ (set_intersection2 @ X11 @ X13) @ X3)|~((disjoint @ X11 @ X13 @ X3))|~((exists_in_world @ X13 @ X3))|~((exists_in_world @ X11 @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40, c_0_54]), c_0_55]), c_0_42])])).
1.48/0.67	thf(c_0_63, plain, ![X11:mu, X3:$i]:((~((in @ X11 @ empty_set @ X3))|~((exists_in_world @ X11 @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_41]), c_0_55])])).
1.48/0.67	thf(c_0_64, plain, ![X153:$i, X154:mu, X155:mu, X156:mu]:((~(exists_in_world @ X154 @ X153)|(~(exists_in_world @ X155 @ X153)|(~(exists_in_world @ X156 @ X153)|(epred1_4 @ X153 @ X154 @ X155 @ X156))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])])).
1.48/0.67	thf(c_0_65, negated_conjecture, ~(![X91:$i, X90:mu]:(((exists_in_world @ X90 @ X91)=>![X89:mu]:(((exists_in_world @ X89 @ X91)=>![X88:mu]:(((exists_in_world @ X88 @ X91)=>~(~((~(disjoint @ (unordered_pair @ X90 @ X89) @ X88 @ X91)|~(in @ X90 @ X88 @ X91))))))))))), 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)],[inference(assume_negation,[status(cth)],[t55_zfmisc_1])]), c_0_22]), c_0_30]), c_0_24]), c_0_25])])).
1.48/0.67	thf(c_0_66, plain, ![X231:$i, X232:mu, X233:mu, X234:mu]:((~(exists_in_world @ X232 @ X231)|(~(exists_in_world @ X233 @ X231)|(~(exists_in_world @ X234 @ X231)|(~(qmltpeq @ X232 @ X233 @ X231)|~(disjoint @ X232 @ X234 @ X231)|(disjoint @ X233 @ X234 @ X231)))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])).
1.48/0.67	thf(c_0_67, plain, ![X218:$i, X219:mu, X220:mu]:((~(exists_in_world @ X219 @ X218)|(~(exists_in_world @ X220 @ X218)|(qmltpeq @ (unordered_pair @ X219 @ X220) @ (unordered_pair @ X220 @ X219) @ X218)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])])).
1.48/0.67	thf(c_0_68, plain, ![X164:$i, X165:mu, X166:mu]:((exists_in_world @ (unordered_pair @ X165 @ X166) @ X164)), inference(variable_rename,[status(thm)],[existence_of_unordered_pair_ax])).
1.48/0.67	thf(c_0_69, plain, ![X69:mu, X70:mu, X71:mu, X72:$i]:(((epred2_4 @ X72 @ X71 @ X70 @ X69)=>~((~((~(qmltpeq @ X69 @ (unordered_pair @ X71 @ X70) @ X72)|![X68:mu]:(((exists_in_world @ X68 @ X72)=>~((~((~(in @ X68 @ X69 @ X72)|((qmltpeq @ X68 @ X71 @ X72)|(qmltpeq @ X68 @ X70 @ X72))))|~((~(((qmltpeq @ X68 @ X71 @ X72)|(qmltpeq @ X68 @ X70 @ X72)))|(in @ X68 @ X69 @ X72)))))))))|~((~(![X68:mu]:(((exists_in_world @ X68 @ X72)=>~((~((~(in @ X68 @ X69 @ X72)|((qmltpeq @ X68 @ X71 @ X72)|(qmltpeq @ X68 @ X70 @ X72))))|~((~(((qmltpeq @ X68 @ X71 @ X72)|(qmltpeq @ X68 @ X70 @ X72)))|(in @ X68 @ X69 @ X72))))))))|(qmltpeq @ X69 @ (unordered_pair @ X71 @ X70) @ X72))))))), inference(split_equiv,[status(thm)],[c_0_60])).
1.48/0.67	thf(c_0_70, plain, ![X72:$i, X71:mu]:(((exists_in_world @ X71 @ X72)=>![X70:mu]:(((exists_in_world @ X70 @ X72)=>![X69:mu]:(((exists_in_world @ X69 @ X72)=>(epred2_4 @ X72 @ X71 @ X70 @ X69))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[d2_tarski]), c_0_23]), c_0_33]), c_0_24]), c_0_25])]), c_0_60])).
1.48/0.67	thf(c_0_71, plain, ![X18:mu, X13:mu, X11:mu, X3:$i]:((~((epred1_4 @ X3 @ X11 @ X13 @ empty_set))|~((in @ X18 @ X13 @ X3))|~((in @ X18 @ X11 @ X3))|~((disjoint @ X11 @ X13 @ X3))|~((exists_in_world @ X18 @ X3))|~((exists_in_world @ X13 @ X3))|~((exists_in_world @ X11 @ X3)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61, c_0_62]), c_0_63])).
1.48/0.67	thf(c_0_72, plain, ![X13:mu, X18:mu, X11:mu, X3:$i]:(((epred1_4 @ X3 @ X11 @ X13 @ X18)|~((exists_in_world @ X11 @ X3))|~((exists_in_world @ X13 @ X3))|~((exists_in_world @ X18 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_64])).
1.48/0.67	thf(c_0_73, negated_conjecture, ((exists_in_world @ esk4_0 @ esk3_0)&((exists_in_world @ esk5_0 @ esk3_0)&((exists_in_world @ esk6_0 @ esk3_0)&((disjoint @ (unordered_pair @ esk4_0 @ esk5_0) @ esk6_0 @ esk3_0)&(in @ esk4_0 @ esk6_0 @ esk3_0))))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])])])).
1.48/0.67	thf(c_0_74, plain, ![X11:mu, X18:mu, X13:mu, X3:$i]:(((disjoint @ X13 @ X18 @ X3)|~((exists_in_world @ X11 @ X3))|~((exists_in_world @ X13 @ X3))|~((exists_in_world @ X18 @ X3))|~((qmltpeq @ X11 @ X13 @ X3))|~((disjoint @ X11 @ X18 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_66])).
1.48/0.67	thf(c_0_75, plain, ![X13:mu, X11:mu, X3:$i]:(((qmltpeq @ (unordered_pair @ X11 @ X13) @ (unordered_pair @ X13 @ X11) @ X3)|~((exists_in_world @ X11 @ X3))|~((exists_in_world @ X13 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_67])).
1.48/0.67	thf(c_0_76, plain, ![X13:mu, X11:mu, X3:$i]:((exists_in_world @ (unordered_pair @ X11 @ X13) @ X3)), inference(split_conjunct,[status(thm)],[c_0_68])).
1.48/0.67	thf(c_0_77, plain, ![X241:mu, X242:mu, X243:mu, X244:$i, X245:mu]:((((~(in @ X245 @ X241 @ X244)|((qmltpeq @ X245 @ X243 @ X244)|(qmltpeq @ X245 @ X242 @ X244))|~(exists_in_world @ X245 @ X244)|~(qmltpeq @ X241 @ (unordered_pair @ X243 @ X242) @ X244)|~(epred2_4 @ X244 @ X243 @ X242 @ X241))&((~(qmltpeq @ X245 @ X243 @ X244)|(in @ X245 @ X241 @ X244)|~(exists_in_world @ X245 @ X244)|~(qmltpeq @ X241 @ (unordered_pair @ X243 @ X242) @ X244)|~(epred2_4 @ X244 @ X243 @ X242 @ X241))&(~(qmltpeq @ X245 @ X242 @ X244)|(in @ X245 @ X241 @ X244)|~(exists_in_world @ X245 @ X244)|~(qmltpeq @ X241 @ (unordered_pair @ X243 @ X242) @ X244)|~(epred2_4 @ X244 @ X243 @ X242 @ X241))))&(((exists_in_world @ (esk10_4 @ X241 @ X242 @ X243 @ X244) @ X244)|(qmltpeq @ X241 @ (unordered_pair @ X243 @ X242) @ X244)|~(epred2_4 @ X244 @ X243 @ X242 @ X241))&((((qmltpeq @ (esk10_4 @ X241 @ X242 @ X243 @ X244) @ X243 @ X244)|(qmltpeq @ (esk10_4 @ X241 @ X242 @ X243 @ X244) @ X242 @ X244)|(in @ (esk10_4 @ X241 @ X242 @ X243 @ X244) @ X241 @ X244)|(qmltpeq @ X241 @ (unordered_pair @ X243 @ X242) @ X244)|~(epred2_4 @ X244 @ X243 @ X242 @ X241))&(~(in @ (esk10_4 @ X241 @ X242 @ X243 @ X244) @ X241 @ X244)|(in @ (esk10_4 @ X241 @ X242 @ X243 @ X244) @ X241 @ X244)|(qmltpeq @ X241 @ (unordered_pair @ X243 @ X242) @ X244)|~(epred2_4 @ X244 @ X243 @ X242 @ X241)))&((((qmltpeq @ (esk10_4 @ X241 @ X242 @ X243 @ X244) @ X243 @ X244)|(qmltpeq @ (esk10_4 @ X241 @ X242 @ X243 @ X244) @ X242 @ X244)|~(qmltpeq @ (esk10_4 @ X241 @ X242 @ X243 @ X244) @ X243 @ X244)|(qmltpeq @ X241 @ (unordered_pair @ X243 @ X242) @ X244)|~(epred2_4 @ X244 @ X243 @ X242 @ X241))&(~(in @ (esk10_4 @ X241 @ X242 @ X243 @ X244) @ X241 @ X244)|~(qmltpeq @ (esk10_4 @ X241 @ X242 @ X243 @ X244) @ X243 @ X244)|(qmltpeq @ X241 @ (unordered_pair @ X243 @ X242) @ X244)|~(epred2_4 @ X244 @ X243 @ X242 @ X241)))&(((qmltpeq @ (esk10_4 @ X241 @ X242 @ X243 @ X244) @ X243 @ X244)|(qmltpeq @ (esk10_4 @ X241 @ X242 @ X243 @ X244) @ X242 @ X244)|~(qmltpeq @ (esk10_4 @ X241 @ X242 @ X243 @ X244) @ X242 @ X244)|(qmltpeq @ X241 @ (unordered_pair @ X243 @ X242) @ X244)|~(epred2_4 @ X244 @ X243 @ X242 @ X241))&(~(in @ (esk10_4 @ X241 @ X242 @ X243 @ X244) @ X241 @ X244)|~(qmltpeq @ (esk10_4 @ X241 @ X242 @ X243 @ X244) @ X242 @ X244)|(qmltpeq @ X241 @ (unordered_pair @ X243 @ X242) @ X244)|~(epred2_4 @ X244 @ X243 @ X242 @ X241)))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])])])])).
1.48/0.67	thf(c_0_78, plain, ![X160:$i, X161:mu, X162:mu, X163:mu]:((~(exists_in_world @ X161 @ X160)|(~(exists_in_world @ X162 @ X160)|(~(exists_in_world @ X163 @ X160)|(epred2_4 @ X160 @ X161 @ X162 @ X163))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])])])).
1.48/0.67	thf(c_0_79, plain, ![X93:$i, X92:mu]:(((exists_in_world @ X92 @ X93)=>(qmltpeq @ X92 @ X92 @ X93))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity]), c_0_24]), c_0_25])).
1.48/0.67	thf(c_0_80, plain, ![X13:mu, X18:mu, X11:mu, X3:$i]:((~((in @ X11 @ X13 @ X3))|~((in @ X11 @ X18 @ X3))|~((disjoint @ X18 @ X13 @ X3))|~((exists_in_world @ X11 @ X3))|~((exists_in_world @ X13 @ X3))|~((exists_in_world @ X18 @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71, c_0_72]), c_0_55])])).
1.48/0.67	thf(c_0_81, negated_conjecture, (in @ esk4_0 @ esk6_0 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_73])).
1.48/0.67	thf(c_0_82, negated_conjecture, (exists_in_world @ esk4_0 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_73])).
1.48/0.67	thf(c_0_83, negated_conjecture, (exists_in_world @ esk6_0 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_73])).
1.48/0.67	thf(c_0_84, plain, ![X18:mu, X13:mu, X11:mu, X3:$i]:(((disjoint @ (unordered_pair @ X11 @ X13) @ X18 @ X3)|~((disjoint @ (unordered_pair @ X13 @ X11) @ X18 @ X3))|~((exists_in_world @ X18 @ X3))|~((exists_in_world @ X11 @ X3))|~((exists_in_world @ X13 @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74, c_0_75]), c_0_76]), c_0_76])])).
1.48/0.67	thf(c_0_85, negated_conjecture, (disjoint @ (unordered_pair @ esk4_0 @ esk5_0) @ esk6_0 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_73])).
1.48/0.67	thf(c_0_86, negated_conjecture, (exists_in_world @ esk5_0 @ esk3_0), inference(split_conjunct,[status(thm)],[c_0_73])).
1.48/0.67	thf(c_0_87, plain, ![X3:$i, X11:mu, X13:mu, X19:mu, X18:mu]:(((in @ X11 @ X18 @ X3)|~((qmltpeq @ X11 @ X13 @ X3))|~((exists_in_world @ X11 @ X3))|~((qmltpeq @ X18 @ (unordered_pair @ X19 @ X13) @ X3))|~((epred2_4 @ X3 @ X19 @ X13 @ X18)))), inference(split_conjunct,[status(thm)],[c_0_77])).
1.48/0.67	thf(c_0_88, plain, ![X13:mu, X18:mu, X11:mu, X3:$i]:(((epred2_4 @ X3 @ X11 @ X13 @ X18)|~((exists_in_world @ X11 @ X3))|~((exists_in_world @ X13 @ X3))|~((exists_in_world @ X18 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_78])).
1.48/0.67	thf(c_0_89, plain, ![X186:$i, X187:mu]:((~(exists_in_world @ X187 @ X186)|(qmltpeq @ X187 @ X187 @ X186))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_79])])).
1.48/0.67	thf(c_0_90, negated_conjecture, ![X11:mu]:((~((in @ esk4_0 @ X11 @ esk3_0))|~((disjoint @ X11 @ esk6_0 @ esk3_0))|~((exists_in_world @ X11 @ esk3_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80, c_0_81]), c_0_82]), c_0_83])])).
1.48/0.67	thf(c_0_91, negated_conjecture, (disjoint @ (unordered_pair @ esk5_0 @ esk4_0) @ esk6_0 @ esk3_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84, c_0_85]), c_0_83]), c_0_86]), c_0_82])])).
1.48/0.67	thf(c_0_92, plain, ![X13:mu, X19:mu, X18:mu, X11:mu, X3:$i]:(((in @ X11 @ X13 @ X3)|~((qmltpeq @ X13 @ (unordered_pair @ X18 @ X19) @ X3))|~((qmltpeq @ X11 @ X19 @ X3))|~((exists_in_world @ X11 @ X3))|~((exists_in_world @ X13 @ X3))|~((exists_in_world @ X19 @ X3))|~((exists_in_world @ X18 @ X3)))), inference(spm,[status(thm)],[c_0_87, c_0_88])).
1.48/0.67	thf(c_0_93, plain, ![X11:mu, X3:$i]:(((qmltpeq @ X11 @ X11 @ X3)|~((exists_in_world @ X11 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_89])).
1.48/0.67	thf(c_0_94, negated_conjecture, ~((in @ esk4_0 @ (unordered_pair @ esk5_0 @ esk4_0) @ esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_91]), c_0_76])])).
1.48/0.67	thf(c_0_95, plain, ![X18:mu, X13:mu, X11:mu, X3:$i]:(((in @ X11 @ (unordered_pair @ X13 @ X18) @ X3)|~((qmltpeq @ X11 @ X18 @ X3))|~((exists_in_world @ X11 @ X3))|~((exists_in_world @ X18 @ X3))|~((exists_in_world @ X13 @ X3)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92, c_0_93]), c_0_76])])).
1.48/0.67	thf(c_0_96, plain, ~((qmltpeq @ esk4_0 @ esk4_0 @ esk3_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94, c_0_95]), c_0_82]), c_0_86])])).
1.48/0.67	thf(c_0_97, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96, c_0_93]), c_0_82])]), ['proof']).
1.48/0.67	# SZS output end CNFRefutation
1.48/0.67	# Parsed axioms                        : 106
1.48/0.67	# Removed by relevancy pruning/SinE    : 0
1.48/0.67	# Initial clauses                      : 103
1.48/0.67	# Removed in clause preprocessing      : 48
1.48/0.67	# Initial clauses in saturation        : 55
1.48/0.67	# Processed clauses                    : 611
1.48/0.67	# ...of these trivial                  : 5
1.48/0.67	# ...subsumed                          : 138
1.48/0.67	# ...remaining for further processing  : 468
1.48/0.67	# Other redundant clauses eliminated   : 0
1.48/0.67	# Clauses deleted for lack of memory   : 0
1.48/0.67	# Backward-subsumed                    : 13
1.48/0.67	# Backward-rewritten                   : 1
1.48/0.67	# Generated clauses                    : 4143
1.48/0.67	# ...of the previous two non-redundant : 3956
1.48/0.67	# ...aggressively subsumed             : 0
1.48/0.67	# Contextual simplify-reflections      : 5
1.48/0.67	# Paramodulations                      : 4143
1.48/0.67	# Factorizations                       : 0
1.48/0.67	# NegExts                              : 0
1.48/0.67	# Equation resolutions                 : 0
1.48/0.67	# Total rewrite steps                  : 5766
1.48/0.67	# Propositional unsat checks           : 0
1.48/0.67	#    Propositional check models        : 0
1.48/0.67	#    Propositional check unsatisfiable : 0
1.48/0.67	#    Propositional clauses             : 0
1.48/0.67	#    Propositional clauses after purity: 0
1.48/0.67	#    Propositional unsat core size     : 0
1.48/0.67	#    Propositional preprocessing time  : 0.000
1.48/0.67	#    Propositional encoding time       : 0.000
1.48/0.67	#    Propositional solver time         : 0.000
1.48/0.67	#    Success case prop preproc time    : 0.000
1.48/0.67	#    Success case prop encoding time   : 0.000
1.48/0.67	#    Success case prop solver time     : 0.000
1.48/0.67	# Current number of processed clauses  : 399
1.48/0.67	#    Positive orientable unit clauses  : 45
1.48/0.67	#    Positive unorientable unit clauses: 0
1.48/0.67	#    Negative unit clauses             : 8
1.48/0.67	#    Non-unit-clauses                  : 346
1.48/0.67	# Current number of unprocessed clauses: 3430
1.48/0.67	# ...number of literals in the above   : 20484
1.48/0.67	# Current number of archived formulas  : 0
1.48/0.67	# Current number of archived clauses   : 69
1.48/0.67	# Clause-clause subsumption calls (NU) : 46202
1.48/0.67	# Rec. Clause-clause subsumption calls : 4055
1.48/0.67	# Non-unit clause-clause subsumptions  : 145
1.48/0.67	# Unit Clause-clause subsumption calls : 699
1.48/0.67	# Rewrite failures with RHS unbound    : 0
1.48/0.67	# BW rewrite match attempts            : 9
1.48/0.67	# BW rewrite match successes           : 1
1.48/0.67	# Condensation attempts                : 611
1.48/0.67	# Condensation successes               : 1
1.48/0.67	# Termbank termtop insertions          : 132135
1.48/0.67	
1.48/0.67	# -------------------------------------------------
1.48/0.67	# User time                : 0.132 s
1.48/0.67	# System time              : 0.011 s
1.48/0.67	# Total time               : 0.143 s
1.48/0.67	# Maximum resident set size: 2884 pages
1.48/0.67	
1.48/0.67	# -------------------------------------------------
1.48/0.67	# User time                : 0.135 s
1.48/0.67	# System time              : 0.014 s
1.48/0.67	# Total time               : 0.148 s
1.48/0.67	# Maximum resident set size: 1836 pages
1.48/0.67	% E---3.1 exiting
1.48/0.67	EOF