0.06/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.11	% Command    : run_E %s %d THM
0.10/0.31	% Computer : n007.cluster.edu
0.10/0.31	% Model    : x86_64 x86_64
0.10/0.31	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.31	% Memory   : 8042.1875MB
0.10/0.31	% OS       : Linux 3.10.0-693.el7.x86_64
0.10/0.31	% CPULimit   : 960
0.10/0.31	% WCLimit    : 120
0.10/0.31	% DateTime   : Tue Aug  9 06:13:57 EDT 2022
0.10/0.31	% CPUTime    : 
0.15/0.42	Running higher-order on 8 cores theorem proving
0.15/0.42	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=120 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.15/0.43	# Version: 3.0pre003-ho
0.15/0.53	# Preprocessing class: HSMSSMSSMLLNHSN.
0.15/0.53	# Scheduled 4 strats onto 8 cores with 120 seconds (960 total)
0.15/0.53	# Starting new_ho_10_cnf2 with 600s (5) cores
0.15/0.53	# Starting post_as_ho3 with 120s (1) cores
0.15/0.53	# Starting new_ho_12 with 120s (1) cores
0.15/0.53	# Starting new_bool_2 with 120s (1) cores
0.15/0.53	# new_bool_2 with pid 1237 completed with status 8
0.15/0.53	# new_ho_12 with pid 1236 completed with status 0
0.15/0.53	# Result found by new_ho_12
0.15/0.53	# Preprocessing class: HSMSSMSSMLLNHSN.
0.15/0.53	# Scheduled 4 strats onto 8 cores with 120 seconds (960 total)
0.15/0.53	# Starting new_ho_10_cnf2 with 600s (5) cores
0.15/0.53	# Starting post_as_ho3 with 120s (1) cores
0.15/0.53	# Starting new_ho_12 with 120s (1) cores
0.15/0.53	# No SInE strategy applied
0.15/0.53	# Search class: HGUNS-FFMF32-SHSSMMBN
0.15/0.53	# Scheduled 6 strats onto 1 cores with 120 seconds (120 total)
0.15/0.53	# Starting new_ho_10 with 54s (1) cores
0.15/0.53	# new_ho_10 with pid 1242 completed with status 0
0.15/0.53	# Result found by new_ho_10
0.15/0.53	# Preprocessing class: HSMSSMSSMLLNHSN.
0.15/0.53	# Scheduled 4 strats onto 8 cores with 120 seconds (960 total)
0.15/0.53	# Starting new_ho_10_cnf2 with 600s (5) cores
0.15/0.53	# Starting post_as_ho3 with 120s (1) cores
0.15/0.53	# Starting new_ho_12 with 120s (1) cores
0.15/0.53	# No SInE strategy applied
0.15/0.53	# Search class: HGUNS-FFMF32-SHSSMMBN
0.15/0.53	# Scheduled 6 strats onto 1 cores with 120 seconds (120 total)
0.15/0.53	# Starting new_ho_10 with 54s (1) cores
0.15/0.53	# Preprocessing time       : 0.004 s
0.15/0.53	# Presaturation interreduction done
0.15/0.53	
0.15/0.53	# Proof found!
0.15/0.53	# SZS status Theorem
0.15/0.53	# SZS output start CNFRefutation
0.15/0.53	thf(decl_22, type, meq_ind: mu > mu > $i > $o).
0.15/0.53	thf(decl_23, type, meq_prop: ($i > $o) > ($i > $o) > $i > $o).
0.15/0.53	thf(decl_24, type, mnot: ($i > $o) > $i > $o).
0.15/0.53	thf(decl_25, type, mor: ($i > $o) > ($i > $o) > $i > $o).
0.15/0.53	thf(decl_26, type, mand: ($i > $o) > ($i > $o) > $i > $o).
0.15/0.53	thf(decl_27, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
0.15/0.53	thf(decl_28, type, mimplied: ($i > $o) > ($i > $o) > $i > $o).
0.15/0.53	thf(decl_29, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
0.15/0.53	thf(decl_30, type, mxor: ($i > $o) > ($i > $o) > $i > $o).
0.15/0.53	thf(decl_31, type, mforall_ind: (mu > $i > $o) > $i > $o).
0.15/0.53	thf(decl_32, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
0.15/0.53	thf(decl_33, type, mexists_ind: (mu > $i > $o) > $i > $o).
0.15/0.53	thf(decl_34, type, mexists_prop: (($i > $o) > $i > $o) > $i > $o).
0.15/0.53	thf(decl_35, type, mtrue: $i > $o).
0.15/0.53	thf(decl_36, type, mfalse: $i > $o).
0.15/0.53	thf(decl_37, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
0.15/0.53	thf(decl_38, type, mdia: ($i > $i > $o) > ($i > $o) > $i > $o).
0.15/0.53	thf(decl_39, type, mreflexive: ($i > $i > $o) > $o).
0.15/0.53	thf(decl_40, type, msymmetric: ($i > $i > $o) > $o).
0.15/0.53	thf(decl_41, type, mserial: ($i > $i > $o) > $o).
0.15/0.53	thf(decl_42, type, mtransitive: ($i > $i > $o) > $o).
0.15/0.53	thf(decl_43, type, meuclidean: ($i > $i > $o) > $o).
0.15/0.53	thf(decl_44, type, mpartially_functional: ($i > $i > $o) > $o).
0.15/0.53	thf(decl_45, type, mfunctional: ($i > $i > $o) > $o).
0.15/0.53	thf(decl_46, type, mweakly_dense: ($i > $i > $o) > $o).
0.15/0.53	thf(decl_47, type, mweakly_connected: ($i > $i > $o) > $o).
0.15/0.53	thf(decl_48, type, mweakly_directed: ($i > $i > $o) > $o).
0.15/0.53	thf(decl_49, type, mvalid: ($i > $o) > $o).
0.15/0.53	thf(decl_50, type, minvalid: ($i > $o) > $o).
0.15/0.53	thf(decl_51, type, msatisfiable: ($i > $o) > $o).
0.15/0.53	thf(decl_52, type, mcountersatisfiable: ($i > $o) > $o).
0.15/0.53	thf(decl_53, type, a: $i > $i > $o).
0.15/0.53	thf(decl_54, type, b: $i > $i > $o).
0.15/0.53	thf(decl_55, type, c: $i > $i > $o).
0.15/0.53	thf(decl_56, type, fool: $i > $i > $o).
0.15/0.53	thf(decl_57, type, ws: ($i > $i > $o) > $i > $o).
0.15/0.53	thf(decl_58, type, esk1_1: $i > $i).
0.15/0.53	thf(decl_59, type, esk2_2: $i > ($i > $o) > $i).
0.15/0.53	thf(decl_60, type, esk3_2: $i > ($i > $o) > $i).
0.15/0.53	thf(decl_61, type, esk4_2: $i > ($i > $o) > $i).
0.15/0.53	thf(decl_62, type, esk5_3: $i > ($i > $o) > $i > $i).
0.15/0.53	thf(decl_63, type, esk6_0: $i).
0.15/0.53	thf(decl_64, type, esk7_0: $i).
0.15/0.53	thf(decl_65, type, esk8_1: $i > $i).
0.15/0.53	thf(decl_66, type, esk9_2: $i > ($i > $o) > $i).
0.15/0.53	thf(decl_67, type, esk10_2: $i > ($i > $o) > $i).
0.15/0.53	thf(decl_68, type, esk11_3: $i > ($i > $o) > $i > $i).
0.15/0.53	thf(decl_69, type, esk12_3: $i > ($i > $o) > $i > $i).
0.15/0.53	thf(decl_70, type, esk13_2: $i > ($i > $o) > $i).
0.15/0.53	thf(decl_71, type, esk14_2: $i > ($i > $o) > $i).
0.15/0.53	thf(decl_72, type, esk15_2: $i > ($i > $o) > $i).
0.15/0.53	thf(decl_73, type, esk16_2: $i > ($i > $o) > $i).
0.15/0.53	thf(decl_74, type, esk17_2: $i > ($i > $o) > $i).
0.15/0.53	thf(decl_75, type, esk18_3: $i > ($i > $o) > $i > $i).
0.15/0.53	thf(decl_76, type, esk19_3: $i > ($i > $o) > $i > $i).
0.15/0.53	thf(decl_77, type, esk20_2: $i > ($i > $o) > $i).
0.15/0.53	thf(decl_78, type, esk21_3: $i > ($i > $o) > $i > $i).
0.15/0.53	thf(mimplies, axiom, ((mimplies)=(^[X6:$i > $o, X7:$i > $o]:(mor @ (mnot @ X6) @ X7))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax', mimplies)).
0.15/0.53	thf(mnot, axiom, ((mnot)=(^[X6:$i > $o, X3:$i]:(~((X6 @ X3))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax', mnot)).
0.15/0.53	thf(mor, axiom, ((mor)=(^[X6:$i > $o, X7:$i > $o, X3:$i]:(((X6 @ X3)|(X7 @ X3))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax', mor)).
0.15/0.53	thf(mforall_prop, axiom, ((mforall_prop)=(^[X9:($i > $o) > $i > $o, X3:$i]:(![X10:$i > $o]:((X9 @ X10 @ X3))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax', mforall_prop)).
0.15/0.53	thf(mbox, axiom, ((mbox)=(^[X13:$i > $i > $o, X6:$i > $o, X3:$i]:(![X14:$i]:((~((X13 @ X3 @ X14))|(X6 @ X14)))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax', mbox)).
0.15/0.53	thf(mvalid, axiom, ((mvalid)=(^[X6:$i > $o]:(![X3:$i]:((X6 @ X3))))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^0.ax', mvalid)).
0.15/0.53	thf(t_axiom_for_fool, axiom, (mvalid @ (mforall_prop @ (^[X18:$i > $o]:(mimplies @ (mbox @ fool @ X18) @ X18)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t_axiom_for_fool)).
0.15/0.53	thf(axiom_1, axiom, (mvalid @ (mbox @ fool @ (mor @ (ws @ a) @ (mor @ (ws @ b) @ (ws @ c))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_1)).
0.15/0.53	thf(conj, conjecture, (mvalid @ (mbox @ c @ (ws @ c))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', conj)).
0.15/0.53	thf(i_axiom_for_fool_b, axiom, (mvalid @ (mforall_prop @ (^[X6:$i > $o]:(mimplies @ (mbox @ fool @ X6) @ (mbox @ b @ X6))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', i_axiom_for_fool_b)).
0.15/0.53	thf(axiom_5, axiom, (mvalid @ (mnot @ (mbox @ b @ (ws @ b)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_5)).
0.15/0.53	thf(axiom_3_b_c, axiom, (mvalid @ (mbox @ fool @ (mimplies @ (mnot @ (ws @ b)) @ (mbox @ c @ (mnot @ (ws @ b)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_3_b_c)).
0.15/0.53	thf(a6_axiom_for_fool_c_b, axiom, (mvalid @ (mforall_prop @ (^[X6:$i > $o]:(mimplies @ (mnot @ (mbox @ c @ X6)) @ (mbox @ b @ (mnot @ (mbox @ c @ X6))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', a6_axiom_for_fool_c_b)).
0.15/0.53	thf(i_axiom_for_fool_a, axiom, (mvalid @ (mforall_prop @ (^[X6:$i > $o]:(mimplies @ (mbox @ fool @ X6) @ (mbox @ a @ X6))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', i_axiom_for_fool_a)).
0.15/0.53	thf(axiom_4, axiom, (mvalid @ (mnot @ (mbox @ a @ (ws @ a)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_4)).
0.15/0.53	thf(a7_axiom_for_fool_a_c, axiom, (mvalid @ (mforall_prop @ (^[X6:$i > $o]:(mimplies @ (mbox @ a @ X6) @ (mbox @ c @ (mbox @ a @ X6)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', a7_axiom_for_fool_a_c)).
0.15/0.53	thf(axiom_3_a_c, axiom, (mvalid @ (mbox @ fool @ (mimplies @ (mnot @ (ws @ a)) @ (mbox @ c @ (mnot @ (ws @ a)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', axiom_3_a_c)).
0.15/0.53	thf(a6_axiom_for_fool_c_a, axiom, (mvalid @ (mforall_prop @ (^[X6:$i > $o]:(mimplies @ (mnot @ (mbox @ c @ X6)) @ (mbox @ a @ (mnot @ (mbox @ c @ X6))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', a6_axiom_for_fool_c_a)).
0.15/0.53	thf(c_0_18, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mimplies])).
0.15/0.53	thf(c_0_19, plain, ((mnot)=(^[Z0:$i > $o, Z1:$i]:(~((Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[mnot])).
0.15/0.53	thf(c_0_20, plain, ((mor)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((Z0 @ Z2)|(Z1 @ Z2))))), inference(fof_simplification,[status(thm)],[mor])).
0.15/0.53	thf(c_0_21, plain, ((mimplies)=(^[Z0:$i > $o, Z1:$i > $o, Z2:$i]:(((~((Z0 @ Z2)))|(Z1 @ Z2))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_18, c_0_19]), c_0_20])).
0.15/0.53	thf(c_0_22, plain, ((mforall_prop)=(^[Z0:($i > $o) > $i > $o, Z1:$i]:(![X10:$i > $o]:((Z0 @ X10 @ Z1))))), inference(fof_simplification,[status(thm)],[mforall_prop])).
0.15/0.53	thf(c_0_23, plain, ((mbox)=(^[Z0:$i > $i > $o, Z1:$i > $o, Z2:$i]:(![X14:$i]:((~((Z0 @ Z2 @ X14))|(Z1 @ X14)))))), inference(fof_simplification,[status(thm)],[mbox])).
0.15/0.53	thf(c_0_24, plain, ((mvalid)=(^[Z0:$i > $o]:(![X3:$i]:((Z0 @ X3))))), inference(fof_simplification,[status(thm)],[mvalid])).
0.15/0.53	thf(c_0_25, plain, ![X89:$i, X88:$i > $o]:((~(![X87:$i]:((~(fool @ X89 @ X87)|(X88 @ X87))))|(X88 @ X89))), 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)],[t_axiom_for_fool]), c_0_21]), c_0_22]), c_0_23]), c_0_24])])).
0.15/0.53	thf(c_0_26, plain, ![X51:$i, X50:$i]:((~(fool @ X51 @ X50)|((ws @ a @ X50)|((ws @ b @ X50)|(ws @ c @ X50))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_1, c_0_20]), c_0_23]), c_0_24])])).
0.15/0.53	thf(c_0_27, plain, ![X211:$i, X212:$i > $o]:((((fool @ X211 @ (esk13_2 @ X211 @ X212))|(X212 @ X211))&(~(X212 @ (esk13_2 @ X211 @ X212))|(X212 @ X211)))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])])).
0.15/0.53	thf(c_0_28, negated_conjecture, ~(![X61:$i, X60:$i]:((~(c @ X61 @ X60)|(ws @ c @ X60)))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[conj]), c_0_23]), c_0_24])])).
0.15/0.53	thf(c_0_29, plain, ![X174:$i, X175:$i]:((~(fool @ X174 @ X175)|((ws @ a @ X175)|((ws @ b @ X175)|(ws @ c @ X175))))), inference(variable_rename,[status(thm)],[c_0_26])).
0.15/0.53	thf(c_0_30, plain, ![X3:$i, X4:$i > $o]:(((X4 @ X3)|~((X4 @ (esk13_2 @ X3 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_27])).
0.15/0.53	thf(c_0_31, plain, ![X4:$i > $o, X3:$i]:(((fool @ X3 @ (esk13_2 @ X3 @ X4))|(X4 @ X3))), inference(split_conjunct,[status(thm)],[c_0_27])).
0.15/0.53	thf(c_0_32, plain, ![X137:$i, X136:$i > $o]:((~(![X134:$i]:((~(fool @ X137 @ X134)|(X136 @ X134))))|![X135:$i]:((~(b @ X137 @ X135)|(X136 @ X135))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[i_axiom_for_fool_b]), c_0_21]), c_0_22]), c_0_23]), c_0_24])])).
0.15/0.53	thf(c_0_33, plain, ![X63:$i]:(~(![X62:$i]:((~(b @ X63 @ X62)|(ws @ b @ X62))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_5, c_0_19]), c_0_23]), c_0_24])])).
0.15/0.53	thf(c_0_34, plain, ![X54:$i, X53:$i]:((~(fool @ X54 @ X53)|((ws @ b @ X53)|![X52:$i]:((~(c @ X53 @ X52)|~(ws @ b @ X52)))))), 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)],[axiom_3_b_c, c_0_19]), c_0_21]), c_0_23]), c_0_24])])).
0.15/0.53	thf(c_0_35, negated_conjecture, ((c @ esk6_0 @ esk7_0)&~(ws @ c @ esk7_0)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])).
0.15/0.53	thf(c_0_36, plain, ![X3:$i, X14:$i]:(((ws @ a @ X14)|(ws @ b @ X14)|(ws @ c @ X14)|~((fool @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_29])).
0.15/0.53	thf(c_0_37, plain, ![X3:$i]:((fool @ X3 @ X3)), inference(spm,[status(thm)],[c_0_30, c_0_31])).
0.15/0.53	thf(c_0_38, plain, ![X258:$i, X259:$i > $o, X261:$i]:((((fool @ X258 @ (esk20_2 @ X258 @ X259))|(~(b @ X258 @ X261)|(X259 @ X261)))&(~(X259 @ (esk20_2 @ X258 @ X259))|(~(b @ X258 @ X261)|(X259 @ X261))))), 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_32])])])])])).
0.15/0.53	thf(c_0_39, plain, ![X186:$i]:(((b @ X186 @ (esk8_1 @ X186))&~(ws @ b @ (esk8_1 @ X186)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])).
0.15/0.53	thf(c_0_40, plain, ![X145:$i, X144:$i > $o]:((~(~(![X141:$i]:((~(c @ X145 @ X141)|(X144 @ X141)))))|![X143:$i]:((~(b @ X145 @ X143)|~(![X142:$i]:((~(c @ X143 @ X142)|(X144 @ X142)))))))), 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(fof_simplification,[status(thm)],[a6_axiom_for_fool_c_b]), c_0_19]), c_0_21]), c_0_22]), c_0_23]), c_0_24])])).
0.15/0.53	thf(c_0_41, plain, ![X176:$i, X177:$i, X178:$i]:((~(fool @ X176 @ X177)|((ws @ b @ X177)|(~(c @ X177 @ X178)|~(ws @ b @ X178))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_34])])).
0.15/0.53	thf(c_0_42, negated_conjecture, ~((ws @ c @ esk7_0)), inference(split_conjunct,[status(thm)],[c_0_35])).
0.15/0.53	thf(c_0_43, plain, ![X3:$i]:(((ws @ c @ X3)|(ws @ b @ X3)|(ws @ a @ X3))), inference(spm,[status(thm)],[c_0_36, c_0_37])).
0.15/0.53	thf(c_0_44, plain, ![X4:$i > $o, X3:$i, X14:$i]:(((X4 @ X14)|~((X4 @ (esk20_2 @ X3 @ X4)))|~((b @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_38])).
0.15/0.53	thf(c_0_45, plain, ![X3:$i]:((b @ X3 @ (esk8_1 @ X3))), inference(split_conjunct,[status(thm)],[c_0_39])).
0.15/0.53	thf(c_0_46, plain, ![X4:$i > $o, X3:$i, X14:$i]:(((fool @ X3 @ (esk20_2 @ X3 @ X4))|(X4 @ X14)|~((b @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_38])).
0.15/0.53	thf(c_0_47, plain, ![X265:$i, X266:$i > $o, X267:$i, X268:$i]:((((c @ X268 @ (esk21_3 @ X265 @ X266 @ X268))|~(b @ X265 @ X268)|(~(c @ X265 @ X267)|(X266 @ X267)))&(~(X266 @ (esk21_3 @ X265 @ X266 @ X268))|~(b @ X265 @ X268)|(~(c @ X265 @ X267)|(X266 @ X267))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])])])).
0.15/0.53	thf(c_0_48, plain, ![X14:$i, X3:$i, X15:$i]:(((ws @ b @ X14)|~((fool @ X3 @ X14))|~((c @ X14 @ X15))|~((ws @ b @ X15)))), inference(split_conjunct,[status(thm)],[c_0_41])).
0.15/0.53	thf(c_0_49, negated_conjecture, ((ws @ a @ esk7_0)|(ws @ b @ esk7_0)), inference(spm,[status(thm)],[c_0_42, c_0_43])).
0.15/0.53	thf(c_0_50, plain, ![X3:$i, X4:$i > $o]:(((X4 @ (esk8_1 @ X3))|~((X4 @ (esk20_2 @ X3 @ X4))))), inference(spm,[status(thm)],[c_0_44, c_0_45])).
0.15/0.53	thf(c_0_51, plain, ![X4:$i > $o, X3:$i]:(((fool @ X3 @ (esk20_2 @ X3 @ X4))|(X4 @ (esk8_1 @ X3)))), inference(spm,[status(thm)],[c_0_46, c_0_45])).
0.15/0.53	thf(c_0_52, plain, ![X14:$i, X3:$i, X4:$i > $o, X15:$i]:(((X4 @ X15)|~((X4 @ (esk21_3 @ X3 @ X4 @ X14)))|~((b @ X3 @ X14))|~((c @ X3 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_47])).
0.15/0.53	thf(c_0_53, negated_conjecture, (c @ esk6_0 @ esk7_0), inference(split_conjunct,[status(thm)],[c_0_35])).
0.15/0.53	thf(c_0_54, plain, ![X14:$i, X4:$i > $o, X3:$i, X15:$i]:(((c @ X3 @ (esk21_3 @ X14 @ X4 @ X3))|(X4 @ X15)|~((b @ X14 @ X3))|~((c @ X14 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_47])).
0.15/0.53	thf(c_0_55, negated_conjecture, ![X14:$i, X3:$i]:(((ws @ a @ esk7_0)|(ws @ b @ X3)|~((c @ X3 @ esk7_0))|~((fool @ X14 @ X3)))), inference(spm,[status(thm)],[c_0_48, c_0_49])).
0.15/0.53	thf(c_0_56, plain, ![X3:$i]:((fool @ X3 @ (esk8_1 @ X3))), inference(spm,[status(thm)],[c_0_50, c_0_51])).
0.15/0.53	thf(c_0_57, plain, ![X3:$i]:(~((ws @ b @ (esk8_1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_39])).
0.15/0.53	thf(c_0_58, negated_conjecture, ![X4:$i > $o, X3:$i]:(((X4 @ esk7_0)|~((X4 @ (esk21_3 @ esk6_0 @ X4 @ X3)))|~((b @ esk6_0 @ X3)))), inference(spm,[status(thm)],[c_0_52, c_0_53])).
0.15/0.53	thf(c_0_59, negated_conjecture, ![X4:$i > $o, X3:$i]:(((c @ X3 @ (esk21_3 @ esk6_0 @ X4 @ X3))|(X4 @ esk7_0)|~((b @ esk6_0 @ X3)))), inference(spm,[status(thm)],[c_0_54, c_0_53])).
0.15/0.53	thf(c_0_60, plain, ![X93:$i, X92:$i > $o]:((~(![X90:$i]:((~(fool @ X93 @ X90)|(X92 @ X90))))|![X91:$i]:((~(a @ X93 @ X91)|(X92 @ X91))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[i_axiom_for_fool_a]), c_0_21]), c_0_22]), c_0_23]), c_0_24])])).
0.15/0.53	thf(c_0_61, plain, ![X23:$i]:(~(![X22:$i]:((~(a @ X23 @ X22)|(ws @ a @ X22))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_4, c_0_19]), c_0_23]), c_0_24])])).
0.15/0.53	thf(c_0_62, plain, ![X41:$i, X40:$i > $o]:((~(![X37:$i]:((~(a @ X41 @ X37)|(X40 @ X37))))|![X39:$i]:((~(c @ X41 @ X39)|![X38:$i]:((~(a @ X39 @ X38)|(X40 @ X38))))))), 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)],[a7_axiom_for_fool_a_c]), c_0_21]), c_0_22]), c_0_23]), c_0_24])])).
0.15/0.53	thf(c_0_63, plain, ![X49:$i, X48:$i]:((~(fool @ X49 @ X48)|((ws @ a @ X48)|![X47:$i]:((~(c @ X48 @ X47)|~(ws @ a @ X47)))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_3_a_c, c_0_19]), c_0_21]), c_0_23]), c_0_24])])).
0.15/0.53	thf(c_0_64, negated_conjecture, ![X3:$i]:(((ws @ a @ esk7_0)|~((c @ (esk8_1 @ X3) @ esk7_0)))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_57])).
0.15/0.53	thf(c_0_65, negated_conjecture, ![X3:$i]:(((c @ X3 @ esk7_0)|~((b @ esk6_0 @ X3)))), inference(spm,[status(thm)],[c_0_58, c_0_59])).
0.15/0.53	thf(c_0_66, plain, ![X214:$i, X215:$i > $o, X217:$i]:((((fool @ X214 @ (esk14_2 @ X214 @ X215))|(~(a @ X214 @ X217)|(X215 @ X217)))&(~(X215 @ (esk14_2 @ X214 @ X215))|(~(a @ X214 @ X217)|(X215 @ X217))))), 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_60])])])])])).
0.15/0.53	thf(c_0_67, plain, ![X146:$i]:(((a @ X146 @ (esk1_1 @ X146))&~(ws @ a @ (esk1_1 @ X146)))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])])).
0.15/0.53	thf(c_0_68, plain, ![X59:$i, X58:$i > $o]:((~(~(![X55:$i]:((~(c @ X59 @ X55)|(X58 @ X55)))))|![X57:$i]:((~(a @ X59 @ X57)|~(![X56:$i]:((~(c @ X57 @ X56)|(X58 @ X56)))))))), 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(fof_simplification,[status(thm)],[a6_axiom_for_fool_c_a]), c_0_19]), c_0_21]), c_0_22]), c_0_23]), c_0_24])])).
0.15/0.53	thf(c_0_69, plain, ![X161:$i, X162:$i > $o, X164:$i, X165:$i]:((((a @ X161 @ (esk3_2 @ X161 @ X162))|(~(c @ X161 @ X164)|(~(a @ X164 @ X165)|(X162 @ X165))))&(~(X162 @ (esk3_2 @ X161 @ X162))|(~(c @ X161 @ X164)|(~(a @ X164 @ X165)|(X162 @ X165)))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])])])])).
0.15/0.53	thf(c_0_70, plain, ![X171:$i, X172:$i, X173:$i]:((~(fool @ X171 @ X172)|((ws @ a @ X172)|(~(c @ X172 @ X173)|~(ws @ a @ X173))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_63])])).
0.15/0.53	thf(c_0_71, negated_conjecture, ![X3:$i]:(((ws @ a @ esk7_0)|~((b @ esk6_0 @ (esk8_1 @ X3))))), inference(spm,[status(thm)],[c_0_64, c_0_65])).
0.15/0.53	thf(c_0_72, plain, ![X4:$i > $o, X3:$i, X14:$i]:(((X4 @ X14)|~((X4 @ (esk14_2 @ X3 @ X4)))|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_66])).
0.15/0.53	thf(c_0_73, plain, ![X3:$i]:((a @ X3 @ (esk1_1 @ X3))), inference(split_conjunct,[status(thm)],[c_0_67])).
0.15/0.53	thf(c_0_74, plain, ![X4:$i > $o, X3:$i, X14:$i]:(((fool @ X3 @ (esk14_2 @ X3 @ X4))|(X4 @ X14)|~((a @ X3 @ X14)))), inference(split_conjunct,[status(thm)],[c_0_66])).
0.15/0.53	thf(c_0_75, plain, ![X179:$i, X180:$i > $o, X181:$i, X182:$i]:((((c @ X182 @ (esk5_3 @ X179 @ X180 @ X182))|~(a @ X179 @ X182)|(~(c @ X179 @ X181)|(X180 @ X181)))&(~(X180 @ (esk5_3 @ X179 @ X180 @ X182))|~(a @ X179 @ X182)|(~(c @ X179 @ X181)|(X180 @ X181))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])])])])).
0.15/0.53	thf(c_0_76, plain, ![X14:$i, X4:$i > $o, X3:$i, X15:$i]:(((X4 @ X15)|~((X4 @ (esk3_2 @ X3 @ X4)))|~((c @ X3 @ X14))|~((a @ X14 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_69])).
0.15/0.53	thf(c_0_77, plain, ![X14:$i, X4:$i > $o, X3:$i, X15:$i]:(((a @ X3 @ (esk3_2 @ X3 @ X4))|(X4 @ X15)|~((c @ X3 @ X14))|~((a @ X14 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_69])).
0.15/0.53	thf(c_0_78, plain, ![X14:$i, X3:$i, X15:$i]:(((ws @ a @ X14)|~((fool @ X3 @ X14))|~((c @ X14 @ X15))|~((ws @ a @ X15)))), inference(split_conjunct,[status(thm)],[c_0_70])).
0.15/0.53	thf(c_0_79, negated_conjecture, (ws @ a @ esk7_0), inference(spm,[status(thm)],[c_0_71, c_0_45])).
0.15/0.53	thf(c_0_80, plain, ![X3:$i, X4:$i > $o]:(((X4 @ (esk1_1 @ X3))|~((X4 @ (esk14_2 @ X3 @ X4))))), inference(spm,[status(thm)],[c_0_72, c_0_73])).
0.15/0.53	thf(c_0_81, plain, ![X4:$i > $o, X3:$i]:(((fool @ X3 @ (esk14_2 @ X3 @ X4))|(X4 @ (esk1_1 @ X3)))), inference(spm,[status(thm)],[c_0_74, c_0_73])).
0.15/0.53	thf(c_0_82, plain, ![X14:$i, X3:$i, X4:$i > $o, X15:$i]:(((X4 @ X15)|~((X4 @ (esk5_3 @ X3 @ X4 @ X14)))|~((a @ X3 @ X14))|~((c @ X3 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_75])).
0.15/0.53	thf(c_0_83, plain, ![X14:$i, X4:$i > $o, X3:$i, X15:$i]:(((c @ X3 @ (esk5_3 @ X14 @ X4 @ X3))|(X4 @ X15)|~((a @ X14 @ X3))|~((c @ X14 @ X15)))), inference(split_conjunct,[status(thm)],[c_0_75])).
0.15/0.53	thf(c_0_84, plain, ![X14:$i, X4:$i > $o, X3:$i]:(((X4 @ (esk1_1 @ X3))|~((X4 @ (esk3_2 @ X14 @ X4)))|~((c @ X14 @ X3)))), inference(spm,[status(thm)],[c_0_76, c_0_73])).
0.15/0.53	thf(c_0_85, negated_conjecture, ![X4:$i > $o, X3:$i]:(((a @ esk6_0 @ (esk3_2 @ esk6_0 @ X4))|(X4 @ X3)|~((a @ esk7_0 @ X3)))), inference(spm,[status(thm)],[c_0_77, c_0_53])).
0.15/0.53	thf(c_0_86, negated_conjecture, ![X14:$i, X3:$i]:(((ws @ a @ X3)|~((c @ X3 @ esk7_0))|~((fool @ X14 @ X3)))), inference(spm,[status(thm)],[c_0_78, c_0_79])).
0.15/0.53	thf(c_0_87, plain, ![X3:$i]:((fool @ X3 @ (esk1_1 @ X3))), inference(spm,[status(thm)],[c_0_80, c_0_81])).
0.15/0.53	thf(c_0_88, plain, ![X3:$i]:(~((ws @ a @ (esk1_1 @ X3)))), inference(split_conjunct,[status(thm)],[c_0_67])).
0.15/0.53	thf(c_0_89, negated_conjecture, ![X4:$i > $o, X3:$i]:(((X4 @ esk7_0)|~((X4 @ (esk5_3 @ esk6_0 @ X4 @ X3)))|~((a @ esk6_0 @ X3)))), inference(spm,[status(thm)],[c_0_82, c_0_53])).
0.15/0.53	thf(c_0_90, negated_conjecture, ![X4:$i > $o, X3:$i]:(((c @ X3 @ (esk5_3 @ esk6_0 @ X4 @ X3))|(X4 @ esk7_0)|~((a @ esk6_0 @ X3)))), inference(spm,[status(thm)],[c_0_83, c_0_53])).
0.15/0.53	thf(c_0_91, negated_conjecture, ![X4:$i > $o]:(((X4 @ (esk1_1 @ esk7_0))|~((X4 @ (esk3_2 @ esk6_0 @ X4))))), inference(spm,[status(thm)],[c_0_84, c_0_53])).
0.15/0.53	thf(c_0_92, negated_conjecture, ![X4:$i > $o]:(((a @ esk6_0 @ (esk3_2 @ esk6_0 @ X4))|(X4 @ (esk1_1 @ esk7_0)))), inference(spm,[status(thm)],[c_0_85, c_0_73])).
0.15/0.53	thf(c_0_93, negated_conjecture, ![X3:$i]:(~((c @ (esk1_1 @ X3) @ esk7_0))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86, c_0_87]), c_0_88])).
0.15/0.53	thf(c_0_94, negated_conjecture, ![X3:$i]:(((c @ X3 @ esk7_0)|~((a @ esk6_0 @ X3)))), inference(spm,[status(thm)],[c_0_89, c_0_90])).
0.15/0.53	thf(c_0_95, negated_conjecture, (a @ esk6_0 @ (esk1_1 @ esk7_0)), inference(spm,[status(thm)],[c_0_91, c_0_92])).
0.15/0.53	thf(c_0_96, negated_conjecture, ![X3:$i]:(~((a @ esk6_0 @ (esk1_1 @ X3)))), inference(spm,[status(thm)],[c_0_93, c_0_94])).
0.15/0.53	thf(c_0_97, negated_conjecture, ($false), inference(sr,[status(thm)],[c_0_95, c_0_96]), ['proof']).
0.15/0.53	# SZS output end CNFRefutation
0.15/0.53	# Parsed axioms                        : 101
0.15/0.53	# Removed by relevancy pruning/SinE    : 0
0.15/0.53	# Initial clauses                      : 90
0.15/0.53	# Removed in clause preprocessing      : 37
0.15/0.53	# Initial clauses in saturation        : 53
0.15/0.53	# Processed clauses                    : 395
0.15/0.53	# ...of these trivial                  : 1
0.15/0.53	# ...subsumed                          : 17
0.15/0.53	# ...remaining for further processing  : 377
0.15/0.53	# Other redundant clauses eliminated   : 0
0.15/0.53	# Clauses deleted for lack of memory   : 0
0.15/0.53	# Backward-subsumed                    : 19
0.15/0.53	# Backward-rewritten                   : 8
0.15/0.53	# Generated clauses                    : 2020
0.15/0.53	# ...of the previous two non-redundant : 1883
0.15/0.53	# ...aggressively subsumed             : 0
0.15/0.53	# Contextual simplify-reflections      : 0
0.15/0.53	# Paramodulations                      : 2019
0.15/0.53	# Factorizations                       : 0
0.15/0.53	# NegExts                              : 0
0.15/0.53	# Equation resolutions                 : 0
0.15/0.53	# Propositional unsat checks           : 0
0.15/0.53	#    Propositional check models        : 0
0.15/0.53	#    Propositional check unsatisfiable : 0
0.15/0.53	#    Propositional clauses             : 0
0.15/0.53	#    Propositional clauses after purity: 0
0.15/0.53	#    Propositional unsat core size     : 0
0.15/0.53	#    Propositional preprocessing time  : 0.000
0.15/0.53	#    Propositional encoding time       : 0.000
0.15/0.53	#    Propositional solver time         : 0.000
0.15/0.53	#    Success case prop preproc time    : 0.000
0.15/0.53	#    Success case prop encoding time   : 0.000
0.15/0.53	#    Success case prop solver time     : 0.000
0.15/0.53	# Current number of processed clauses  : 296
0.15/0.53	#    Positive orientable unit clauses  : 13
0.15/0.53	#    Positive unorientable unit clauses: 0
0.15/0.53	#    Negative unit clauses             : 5
0.15/0.53	#    Non-unit-clauses                  : 278
0.15/0.53	# Current number of unprocessed clauses: 1576
0.15/0.53	# ...number of literals in the above   : 7267
0.15/0.53	# Current number of archived formulas  : 0
0.15/0.53	# Current number of archived clauses   : 81
0.15/0.53	# Clause-clause subsumption calls (NU) : 21283
0.15/0.53	# Rec. Clause-clause subsumption calls : 7673
0.15/0.53	# Non-unit clause-clause subsumptions  : 29
0.15/0.53	# Unit Clause-clause subsumption calls : 285
0.15/0.53	# Rewrite failures with RHS unbound    : 0
0.15/0.53	# BW rewrite match attempts            : 2
0.15/0.53	# BW rewrite match successes           : 1
0.15/0.53	# Condensation attempts                : 395
0.15/0.53	# Condensation successes               : 0
0.15/0.53	# Termbank termtop insertions          : 71051
0.15/0.53	
0.15/0.53	# -------------------------------------------------
0.15/0.53	# User time                : 0.094 s
0.15/0.53	# System time              : 0.008 s
0.15/0.53	# Total time               : 0.102 s
0.15/0.53	# Maximum resident set size: 2804 pages
0.15/0.53	
0.15/0.53	# -------------------------------------------------
0.15/0.53	# User time                : 0.165 s
0.15/0.53	# System time              : 0.032 s
0.15/0.53	# Total time               : 0.198 s
0.15/0.53	# Maximum resident set size: 1824 pages
0.33/0.54	EOF