0.05/0.09	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.05/0.10	% Command    : eprover-ho %s --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --free-numbers -auto-schedule -p --cpu-limit=%d --neg-ext=all --pos-ext=all --ext-sup-max-depth=2 --schedule-kind=CASC
0.10/0.31	% Computer   : n006.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   : 1200
0.10/0.31	% WCLimit    : 120
0.10/0.31	% DateTime   : Tue Jul 13 14:21:10 EDT 2021
0.10/0.31	% CPUTime    : 
0.10/0.31	% Number of cores: 8
0.10/0.31	% Python version: Python 3.6.8
0.10/0.32	# Version: 2.6rc1-ho
0.10/0.32	# No SInE strategy applied
0.10/0.32	# Trying AutoSched0 for 59 seconds
0.52/0.70	# AutoSched0-Mode selected heuristic G_E___208_C18AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
0.52/0.70	# and selection function SelectComplexExceptUniqMaxHorn.
0.52/0.70	#
0.52/0.70	# Preprocessing time       : 0.027 s
0.52/0.70	# Presaturation interreduction done
0.52/0.70	
0.52/0.70	# Proof found!
0.52/0.70	# SZS status Theorem
0.52/0.70	# SZS output start CNFRefutation
0.52/0.70	thf(mand, axiom, (mand)=(^[X4:$i > $o, X5:$i > $o, X35:$i]:~((~(X4 @ X35)|~(X5 @ X35)))), file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax', mand)).
0.52/0.70	thf(mnot, axiom, (mnot)=(^[X4:$i > $o, X3:$i]:~(X4 @ X3)), file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax', mnot)).
0.52/0.70	thf(mor, axiom, (mor)=(^[X4:$i > $o, X5:$i > $o, X3:$i]:(X4 @ X3|X5 @ X3)), file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax', mor)).
0.52/0.70	thf(mimplies, axiom, (mimplies)=(^[X4:$i > $o, X5:$i > $o, X38:$i]:(~(X4 @ X38)|X5 @ X38)), file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax', mimplies)).
0.52/0.70	thf(mexists_ind, axiom, (mexists_ind)=(^[X12:mu > $i > $o, X64:$i]:~(![X67:mu]:(exists_in_world @ X67 @ X64=>~(X12 @ X67 @ X64)))), file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax', mexists_ind)).
0.52/0.70	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/sandbox/benchmark/Axioms/LCL015^0.ax', mforall_ind)).
0.52/0.70	thf(a2, axiom, mtransitive @ rel_s4, file('/export/starexec/sandbox/benchmark/Axioms/LCL013^5.ax', a2)).
0.52/0.70	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/sandbox/benchmark/Axioms/LCL015^0.ax', mtransitive)).
0.52/0.70	thf(kalish204, conjecture, mvalid @ (mand @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mnot @ (mexists_ind @ (^[X20:mu]:mbox_s4 @ (f @ X20))))) @ (mbox_s4 @ (mforall_ind @ (^[X21:mu]:mbox_s4 @ (mnot @ (mbox_s4 @ (f @ X21)))))))) @ (mbox_s4 @ (mimplies @ (mbox_s4 @ (mforall_ind @ (^[X22:mu]:mbox_s4 @ (mnot @ (mbox_s4 @ (f @ X22)))))) @ (mbox_s4 @ (mnot @ (mexists_ind @ (^[X23:mu]:mbox_s4 @ (f @ X23)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', kalish204)).
0.52/0.70	thf(mvalid, axiom, (mvalid)=(^[X4:$i > $o]:![X3:$i]:X4 @ X3), file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax', mvalid)).
0.52/0.70	thf(mbox_s4, axiom, (mbox_s4)=(^[X4:$i > $o, X3:$i]:![X7:$i]:(~(rel_s4 @ X3 @ X7)|X4 @ X7)), file('/export/starexec/sandbox/benchmark/Axioms/LCL013^5.ax', mbox_s4)).
0.52/0.70	thf(cumulative_ax, axiom, ![X19:mu, X7:$i, X3:$i]:(exists_in_world @ X19 @ X3<=(rel_s4 @ X7 @ X3&exists_in_world @ X19 @ X7)), file('/export/starexec/sandbox/benchmark/Axioms/LCL015^1.ax', cumulative_ax)).
0.52/0.70	thf(a1, axiom, mreflexive @ rel_s4, file('/export/starexec/sandbox/benchmark/Axioms/LCL013^5.ax', a1)).
0.52/0.70	thf(mreflexive, axiom, (mreflexive)=(^[X6:$i > $i > $o]:![X15:$i]:X6 @ X15 @ X15), file('/export/starexec/sandbox/benchmark/Axioms/LCL015^0.ax', mreflexive)).
0.52/0.70	thf(c_0_14, axiom, (mand)=(^[X4:$i > $o, X5:$i > $o, X35:$i]:~((~(X4 @ X35)|~(X5 @ X35)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[mand, mnot]), mor])).
0.52/0.70	thf(c_0_15, axiom, (mimplies)=(^[X4:$i > $o, X5:$i > $o, X38:$i]:(~(X4 @ X38)|X5 @ X38)), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[mimplies, mnot]), mor])).
0.52/0.70	thf(c_0_16, axiom, (mexists_ind)=(^[X12:mu > $i > $o, X64:$i]:~(![X67:mu]:(exists_in_world @ X67 @ X64=>~(X12 @ X67 @ X64)))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[mexists_ind, mnot]), mforall_ind])).
0.52/0.70	thf(c_0_17, plain, ![X84:$i, X85:$i, X86:$i]:((rel_s4 @ X84 @ X85&rel_s4 @ X85 @ X86)=>rel_s4 @ X84 @ X86), inference(apply_def,[status(thm)],[a2, mtransitive])).
0.52/0.70	thf(c_0_18, negated_conjecture, ~(![X289:$i]:~((~(![X307:$i]:(~rel_s4 @ X289 @ X307|(~(![X308:$i]:(~rel_s4 @ X307 @ X308|~(~(![X309:mu]:(exists_in_world @ X309 @ X308=>~(![X310:$i]:(~rel_s4 @ X308 @ X310|f @ X309 @ X310)))))))|![X311:$i]:(~rel_s4 @ X307 @ X311|![X312:mu]:(exists_in_world @ X312 @ X311=>![X313:$i]:(~rel_s4 @ X311 @ X313|~(![X314:$i]:(~rel_s4 @ X313 @ X314|f @ X312 @ X314))))))))|~(![X315:$i]:(~rel_s4 @ X289 @ X315|(~(![X316:$i]:(~rel_s4 @ X315 @ X316|![X317:mu]:(exists_in_world @ X317 @ X316=>![X318:$i]:(~rel_s4 @ X316 @ X318|~(![X319:$i]:(~rel_s4 @ X318 @ X319|f @ X317 @ X319))))))|![X320:$i]:(~rel_s4 @ X315 @ X320|~(~(![X321:mu]:(exists_in_world @ X321 @ X320=>~(![X322:$i]:(~rel_s4 @ X320 @ X322|f @ X321 @ X322)))))))))))), 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(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[kalish204]), mnot]), c_0_14]), c_0_15]), mforall_ind]), c_0_16]), mvalid]), mbox_s4])])).
0.52/0.70	thf(c_0_19, plain, ![X325:$i, X326:$i, X327:$i]:(~rel_s4 @ X325 @ X326|~rel_s4 @ X326 @ X327|rel_s4 @ X325 @ X327), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])).
0.52/0.70	thf(c_0_20, negated_conjecture, ![X334:$i, X335:mu, X340:$i, X342:$i, X343:mu, X344:$i, X348:$i]:(((rel_s4 @ esk2_0 @ esk8_0|rel_s4 @ esk2_0 @ esk3_0)&(((rel_s4 @ X344 @ (esk9_3 @ X342 @ X343 @ X344)|~rel_s4 @ X342 @ X344|~exists_in_world @ X343 @ X342|~rel_s4 @ esk8_0 @ X342|rel_s4 @ esk2_0 @ esk3_0)&(~f @ X343 @ (esk9_3 @ X342 @ X343 @ X344)|~rel_s4 @ X342 @ X344|~exists_in_world @ X343 @ X342|~rel_s4 @ esk8_0 @ X342|rel_s4 @ esk2_0 @ esk3_0))&((rel_s4 @ esk8_0 @ esk10_0|rel_s4 @ esk2_0 @ esk3_0)&((exists_in_world @ esk11_0 @ esk10_0|rel_s4 @ esk2_0 @ esk3_0)&(~rel_s4 @ esk10_0 @ X348|f @ esk11_0 @ X348|rel_s4 @ esk2_0 @ esk3_0)))))&((((rel_s4 @ esk2_0 @ esk8_0|(rel_s4 @ X334 @ (esk4_2 @ X334 @ X335)|~exists_in_world @ X335 @ X334|~rel_s4 @ esk3_0 @ X334))&(((rel_s4 @ X344 @ (esk9_3 @ X342 @ X343 @ X344)|~rel_s4 @ X342 @ X344|~exists_in_world @ X343 @ X342|~rel_s4 @ esk8_0 @ X342|(rel_s4 @ X334 @ (esk4_2 @ X334 @ X335)|~exists_in_world @ X335 @ X334|~rel_s4 @ esk3_0 @ X334))&(~f @ X343 @ (esk9_3 @ X342 @ X343 @ X344)|~rel_s4 @ X342 @ X344|~exists_in_world @ X343 @ X342|~rel_s4 @ esk8_0 @ X342|(rel_s4 @ X334 @ (esk4_2 @ X334 @ X335)|~exists_in_world @ X335 @ X334|~rel_s4 @ esk3_0 @ X334)))&((rel_s4 @ esk8_0 @ esk10_0|(rel_s4 @ X334 @ (esk4_2 @ X334 @ X335)|~exists_in_world @ X335 @ X334|~rel_s4 @ esk3_0 @ X334))&((exists_in_world @ esk11_0 @ esk10_0|(rel_s4 @ X334 @ (esk4_2 @ X334 @ X335)|~exists_in_world @ X335 @ X334|~rel_s4 @ esk3_0 @ X334))&(~rel_s4 @ esk10_0 @ X348|f @ esk11_0 @ X348|(rel_s4 @ X334 @ (esk4_2 @ X334 @ X335)|~exists_in_world @ X335 @ X334|~rel_s4 @ esk3_0 @ X334))))))&((rel_s4 @ esk2_0 @ esk8_0|(~f @ X335 @ (esk4_2 @ X334 @ X335)|~exists_in_world @ X335 @ X334|~rel_s4 @ esk3_0 @ X334))&(((rel_s4 @ X344 @ (esk9_3 @ X342 @ X343 @ X344)|~rel_s4 @ X342 @ X344|~exists_in_world @ X343 @ X342|~rel_s4 @ esk8_0 @ X342|(~f @ X335 @ (esk4_2 @ X334 @ X335)|~exists_in_world @ X335 @ X334|~rel_s4 @ esk3_0 @ X334))&(~f @ X343 @ (esk9_3 @ X342 @ X343 @ X344)|~rel_s4 @ X342 @ X344|~exists_in_world @ X343 @ X342|~rel_s4 @ esk8_0 @ X342|(~f @ X335 @ (esk4_2 @ X334 @ X335)|~exists_in_world @ X335 @ X334|~rel_s4 @ esk3_0 @ X334)))&((rel_s4 @ esk8_0 @ esk10_0|(~f @ X335 @ (esk4_2 @ X334 @ X335)|~exists_in_world @ X335 @ X334|~rel_s4 @ esk3_0 @ X334))&((exists_in_world @ esk11_0 @ esk10_0|(~f @ X335 @ (esk4_2 @ X334 @ X335)|~exists_in_world @ X335 @ X334|~rel_s4 @ esk3_0 @ X334))&(~rel_s4 @ esk10_0 @ X348|f @ esk11_0 @ X348|(~f @ X335 @ (esk4_2 @ X334 @ X335)|~exists_in_world @ X335 @ X334|~rel_s4 @ esk3_0 @ X334)))))))&(((rel_s4 @ esk2_0 @ esk8_0|rel_s4 @ esk3_0 @ esk5_0)&(((rel_s4 @ X344 @ (esk9_3 @ X342 @ X343 @ X344)|~rel_s4 @ X342 @ X344|~exists_in_world @ X343 @ X342|~rel_s4 @ esk8_0 @ X342|rel_s4 @ esk3_0 @ esk5_0)&(~f @ X343 @ (esk9_3 @ X342 @ X343 @ X344)|~rel_s4 @ X342 @ X344|~exists_in_world @ X343 @ X342|~rel_s4 @ esk8_0 @ X342|rel_s4 @ esk3_0 @ esk5_0))&((rel_s4 @ esk8_0 @ esk10_0|rel_s4 @ esk3_0 @ esk5_0)&((exists_in_world @ esk11_0 @ esk10_0|rel_s4 @ esk3_0 @ esk5_0)&(~rel_s4 @ esk10_0 @ X348|f @ esk11_0 @ X348|rel_s4 @ esk3_0 @ esk5_0)))))&(((rel_s4 @ esk2_0 @ esk8_0|exists_in_world @ esk6_0 @ esk5_0)&(((rel_s4 @ X344 @ (esk9_3 @ X342 @ X343 @ X344)|~rel_s4 @ X342 @ X344|~exists_in_world @ X343 @ X342|~rel_s4 @ esk8_0 @ X342|exists_in_world @ esk6_0 @ esk5_0)&(~f @ X343 @ (esk9_3 @ X342 @ X343 @ X344)|~rel_s4 @ X342 @ X344|~exists_in_world @ X343 @ X342|~rel_s4 @ esk8_0 @ X342|exists_in_world @ esk6_0 @ esk5_0))&((rel_s4 @ esk8_0 @ esk10_0|exists_in_world @ esk6_0 @ esk5_0)&((exists_in_world @ esk11_0 @ esk10_0|exists_in_world @ esk6_0 @ esk5_0)&(~rel_s4 @ esk10_0 @ X348|f @ esk11_0 @ X348|exists_in_world @ esk6_0 @ esk5_0)))))&(((rel_s4 @ esk2_0 @ esk8_0|rel_s4 @ esk5_0 @ esk7_0)&(((rel_s4 @ X344 @ (esk9_3 @ X342 @ X343 @ X344)|~rel_s4 @ X342 @ X344|~exists_in_world @ X343 @ X342|~rel_s4 @ esk8_0 @ X342|rel_s4 @ esk5_0 @ esk7_0)&(~f @ X343 @ (esk9_3 @ X342 @ X343 @ X344)|~rel_s4 @ X342 @ X344|~exists_in_world @ X343 @ X342|~rel_s4 @ esk8_0 @ X342|rel_s4 @ esk5_0 @ esk7_0))&((rel_s4 @ esk8_0 @ esk10_0|rel_s4 @ esk5_0 @ esk7_0)&((exists_in_world @ esk11_0 @ esk10_0|rel_s4 @ esk5_0 @ esk7_0)&(~rel_s4 @ esk10_0 @ X348|f @ esk11_0 @ X348|rel_s4 @ esk5_0 @ esk7_0)))))&((rel_s4 @ esk2_0 @ esk8_0|(~rel_s4 @ esk7_0 @ X340|f @ esk6_0 @ X340))&(((rel_s4 @ X344 @ (esk9_3 @ X342 @ X343 @ X344)|~rel_s4 @ X342 @ X344|~exists_in_world @ X343 @ X342|~rel_s4 @ esk8_0 @ X342|(~rel_s4 @ esk7_0 @ X340|f @ esk6_0 @ X340))&(~f @ X343 @ (esk9_3 @ X342 @ X343 @ X344)|~rel_s4 @ X342 @ X344|~exists_in_world @ X343 @ X342|~rel_s4 @ esk8_0 @ X342|(~rel_s4 @ esk7_0 @ X340|f @ esk6_0 @ X340)))&((rel_s4 @ esk8_0 @ esk10_0|(~rel_s4 @ esk7_0 @ X340|f @ esk6_0 @ X340))&((exists_in_world @ esk11_0 @ esk10_0|(~rel_s4 @ esk7_0 @ X340|f @ esk6_0 @ X340))&(~rel_s4 @ esk10_0 @ X348|f @ esk11_0 @ X348|(~rel_s4 @ esk7_0 @ X340|f @ esk6_0 @ X340))))))))))), 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_18])])])])])).
0.52/0.70	thf(c_0_21, plain, ![X19:mu, X7:$i, X3:$i]:((rel_s4 @ X7 @ X3&exists_in_world @ X19 @ X7)=>exists_in_world @ X19 @ X3), inference(fof_simplification,[status(thm)],[cumulative_ax])).
0.52/0.70	thf(c_0_22, plain, ![X7:$i, X3:$i, X15:$i]:(rel_s4 @ X3 @ X15|~rel_s4 @ X3 @ X7|~rel_s4 @ X7 @ X15), inference(split_conjunct,[status(thm)],[c_0_19])).
0.52/0.70	thf(c_0_23, negated_conjecture, (rel_s4 @ esk8_0 @ esk10_0|rel_s4 @ esk5_0 @ esk7_0), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_24, plain, ![X329:mu, X330:$i, X331:$i]:(~rel_s4 @ X330 @ X331|~exists_in_world @ X329 @ X330|exists_in_world @ X329 @ X331), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])).
0.52/0.70	thf(c_0_25, negated_conjecture, ![X3:$i]:(rel_s4 @ esk8_0 @ esk10_0|rel_s4 @ X3 @ esk7_0|~rel_s4 @ X3 @ esk5_0), inference(spm,[status(thm)],[c_0_22, c_0_23])).
0.52/0.70	thf(c_0_26, negated_conjecture, (rel_s4 @ esk8_0 @ esk10_0|rel_s4 @ esk3_0 @ esk5_0), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_27, plain, ![X11:mu, X7:$i, X3:$i]:(exists_in_world @ X11 @ X7|~rel_s4 @ X3 @ X7|~exists_in_world @ X11 @ X3), inference(split_conjunct,[status(thm)],[c_0_24])).
0.52/0.70	thf(c_0_28, negated_conjecture, ![X11:mu, X3:$i]:(rel_s4 @ esk8_0 @ esk10_0|rel_s4 @ X3 @ (esk4_2 @ X3 @ X11)|~exists_in_world @ X11 @ X3|~rel_s4 @ esk3_0 @ X3), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_29, negated_conjecture, (rel_s4 @ esk3_0 @ esk7_0|rel_s4 @ esk8_0 @ esk10_0), inference(spm,[status(thm)],[c_0_25, c_0_26])).
0.52/0.70	thf(c_0_30, negated_conjecture, ![X11:mu]:(rel_s4 @ esk8_0 @ esk10_0|exists_in_world @ X11 @ esk7_0|~exists_in_world @ X11 @ esk5_0), inference(spm,[status(thm)],[c_0_27, c_0_23])).
0.52/0.70	thf(c_0_31, negated_conjecture, (rel_s4 @ esk8_0 @ esk10_0|exists_in_world @ esk6_0 @ esk5_0), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_32, negated_conjecture, ![X11:mu]:(rel_s4 @ esk7_0 @ (esk4_2 @ esk7_0 @ X11)|rel_s4 @ esk8_0 @ esk10_0|~exists_in_world @ X11 @ esk7_0), inference(spm,[status(thm)],[c_0_28, c_0_29])).
0.52/0.70	thf(c_0_33, negated_conjecture, (exists_in_world @ esk6_0 @ esk7_0|rel_s4 @ esk8_0 @ esk10_0), inference(spm,[status(thm)],[c_0_30, c_0_31])).
0.52/0.70	thf(c_0_34, negated_conjecture, ![X3:$i]:(rel_s4 @ esk8_0 @ esk10_0|f @ esk6_0 @ X3|~rel_s4 @ esk7_0 @ X3), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_35, negated_conjecture, (rel_s4 @ esk7_0 @ (esk4_2 @ esk7_0 @ esk6_0)|rel_s4 @ esk8_0 @ esk10_0), inference(spm,[status(thm)],[c_0_32, c_0_33])).
0.52/0.70	thf(c_0_36, negated_conjecture, ![X11:mu, X3:$i]:(rel_s4 @ esk8_0 @ esk10_0|~f @ X11 @ (esk4_2 @ X3 @ X11)|~exists_in_world @ X11 @ X3|~rel_s4 @ esk3_0 @ X3), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_37, negated_conjecture, (f @ esk6_0 @ (esk4_2 @ esk7_0 @ esk6_0)|rel_s4 @ esk8_0 @ esk10_0), inference(spm,[status(thm)],[c_0_34, c_0_35])).
0.52/0.70	thf(c_0_38, plain, ![X87:$i]:rel_s4 @ X87 @ X87, inference(apply_def,[status(thm)],[a1, mreflexive])).
0.52/0.70	thf(c_0_39, negated_conjecture, ![X3:$i, X11:mu, X7:$i]:(rel_s4 @ X3 @ (esk9_3 @ X7 @ X11 @ X3)|rel_s4 @ esk5_0 @ esk7_0|~rel_s4 @ X7 @ X3|~exists_in_world @ X11 @ X7|~rel_s4 @ esk8_0 @ X7), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_40, negated_conjecture, rel_s4 @ esk8_0 @ esk10_0, inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_33]), c_0_29])).
0.52/0.70	thf(c_0_41, plain, ![X328:$i]:rel_s4 @ X328 @ X328, inference(variable_rename,[status(thm)],[c_0_38])).
0.52/0.70	thf(c_0_42, negated_conjecture, ![X3:$i, X11:mu]:(rel_s4 @ X3 @ (esk9_3 @ esk10_0 @ X11 @ X3)|rel_s4 @ esk5_0 @ esk7_0|~rel_s4 @ esk10_0 @ X3|~exists_in_world @ X11 @ esk10_0), inference(spm,[status(thm)],[c_0_39, c_0_40])).
0.52/0.70	thf(c_0_43, plain, ![X3:$i]:rel_s4 @ X3 @ X3, inference(split_conjunct,[status(thm)],[c_0_41])).
0.52/0.70	thf(c_0_44, negated_conjecture, ![X3:$i, X11:mu, X7:$i]:(rel_s4 @ X3 @ (esk9_3 @ X7 @ X11 @ X3)|rel_s4 @ esk3_0 @ esk5_0|~rel_s4 @ X7 @ X3|~exists_in_world @ X11 @ X7|~rel_s4 @ esk8_0 @ X7), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_45, negated_conjecture, ![X11:mu]:(rel_s4 @ esk10_0 @ (esk9_3 @ esk10_0 @ X11 @ esk10_0)|rel_s4 @ esk5_0 @ esk7_0|~exists_in_world @ X11 @ esk10_0), inference(spm,[status(thm)],[c_0_42, c_0_43])).
0.52/0.70	thf(c_0_46, negated_conjecture, (exists_in_world @ esk11_0 @ esk10_0|rel_s4 @ esk5_0 @ esk7_0), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_47, negated_conjecture, ![X3:$i, X11:mu]:(rel_s4 @ X3 @ (esk9_3 @ esk10_0 @ X11 @ X3)|rel_s4 @ esk3_0 @ esk5_0|~rel_s4 @ esk10_0 @ X3|~exists_in_world @ X11 @ esk10_0), inference(spm,[status(thm)],[c_0_44, c_0_40])).
0.52/0.70	thf(c_0_48, negated_conjecture, ![X3:$i]:(f @ esk11_0 @ X3|rel_s4 @ esk5_0 @ esk7_0|~rel_s4 @ esk10_0 @ X3), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_49, negated_conjecture, (rel_s4 @ esk10_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0)|rel_s4 @ esk5_0 @ esk7_0), inference(spm,[status(thm)],[c_0_45, c_0_46])).
0.52/0.70	thf(c_0_50, negated_conjecture, ![X11:mu]:(rel_s4 @ esk10_0 @ (esk9_3 @ esk10_0 @ X11 @ esk10_0)|rel_s4 @ esk3_0 @ esk5_0|~exists_in_world @ X11 @ esk10_0), inference(spm,[status(thm)],[c_0_47, c_0_43])).
0.52/0.70	thf(c_0_51, negated_conjecture, (exists_in_world @ esk11_0 @ esk10_0|rel_s4 @ esk3_0 @ esk5_0), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_52, negated_conjecture, ![X11:mu, X7:$i, X3:$i]:(rel_s4 @ esk5_0 @ esk7_0|~f @ X11 @ (esk9_3 @ X3 @ X11 @ X7)|~rel_s4 @ X3 @ X7|~exists_in_world @ X11 @ X3|~rel_s4 @ esk8_0 @ X3), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_53, negated_conjecture, (f @ esk11_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0)|rel_s4 @ esk5_0 @ esk7_0), inference(spm,[status(thm)],[c_0_48, c_0_49])).
0.52/0.70	thf(c_0_54, negated_conjecture, ![X3:$i]:(f @ esk11_0 @ X3|rel_s4 @ esk3_0 @ esk5_0|~rel_s4 @ esk10_0 @ X3), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_55, negated_conjecture, (rel_s4 @ esk10_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0)|rel_s4 @ esk3_0 @ esk5_0), inference(spm,[status(thm)],[c_0_50, c_0_51])).
0.52/0.70	thf(c_0_56, negated_conjecture, rel_s4 @ esk5_0 @ esk7_0, inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52, c_0_53]), c_0_40]), c_0_43])]), c_0_46])).
0.52/0.70	thf(c_0_57, negated_conjecture, ![X11:mu, X7:$i, X3:$i]:(rel_s4 @ esk3_0 @ esk5_0|~f @ X11 @ (esk9_3 @ X3 @ X11 @ X7)|~rel_s4 @ X3 @ X7|~exists_in_world @ X11 @ X3|~rel_s4 @ esk8_0 @ X3), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_58, negated_conjecture, (f @ esk11_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0)|rel_s4 @ esk3_0 @ esk5_0), inference(spm,[status(thm)],[c_0_54, c_0_55])).
0.52/0.70	thf(c_0_59, negated_conjecture, ![X11:mu, X3:$i]:(exists_in_world @ esk11_0 @ esk10_0|rel_s4 @ X3 @ (esk4_2 @ X3 @ X11)|~exists_in_world @ X11 @ X3|~rel_s4 @ esk3_0 @ X3), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_60, negated_conjecture, ![X3:$i]:(rel_s4 @ X3 @ esk7_0|~rel_s4 @ X3 @ esk5_0), inference(spm,[status(thm)],[c_0_22, c_0_56])).
0.52/0.70	thf(c_0_61, negated_conjecture, rel_s4 @ esk3_0 @ esk5_0, inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_58]), c_0_40]), c_0_43])]), c_0_51])).
0.52/0.70	thf(c_0_62, negated_conjecture, ![X11:mu]:(rel_s4 @ esk7_0 @ (esk4_2 @ esk7_0 @ X11)|exists_in_world @ esk11_0 @ esk10_0|~exists_in_world @ X11 @ esk7_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_60]), c_0_61])])).
0.52/0.70	thf(c_0_63, negated_conjecture, ![X11:mu]:(exists_in_world @ X11 @ esk7_0|~exists_in_world @ X11 @ esk5_0), inference(spm,[status(thm)],[c_0_27, c_0_56])).
0.52/0.70	thf(c_0_64, negated_conjecture, ![X11:mu]:(rel_s4 @ esk7_0 @ (esk4_2 @ esk7_0 @ X11)|exists_in_world @ esk11_0 @ esk10_0|~exists_in_world @ X11 @ esk5_0), inference(spm,[status(thm)],[c_0_62, c_0_63])).
0.52/0.70	thf(c_0_65, negated_conjecture, (exists_in_world @ esk11_0 @ esk10_0|exists_in_world @ esk6_0 @ esk5_0), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_66, negated_conjecture, ![X3:$i]:(exists_in_world @ esk11_0 @ esk10_0|f @ esk6_0 @ X3|~rel_s4 @ esk7_0 @ X3), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_67, negated_conjecture, (rel_s4 @ esk7_0 @ (esk4_2 @ esk7_0 @ esk6_0)|exists_in_world @ esk11_0 @ esk10_0), inference(spm,[status(thm)],[c_0_64, c_0_65])).
0.52/0.70	thf(c_0_68, negated_conjecture, ![X3:$i, X11:mu, X7:$i]:(rel_s4 @ X3 @ (esk9_3 @ X7 @ X11 @ X3)|exists_in_world @ esk6_0 @ esk5_0|~rel_s4 @ X7 @ X3|~exists_in_world @ X11 @ X7|~rel_s4 @ esk8_0 @ X7), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_69, negated_conjecture, ![X11:mu, X3:$i]:(exists_in_world @ esk11_0 @ esk10_0|~f @ X11 @ (esk4_2 @ X3 @ X11)|~exists_in_world @ X11 @ X3|~rel_s4 @ esk3_0 @ X3), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_70, negated_conjecture, (f @ esk6_0 @ (esk4_2 @ esk7_0 @ esk6_0)|exists_in_world @ esk11_0 @ esk10_0), inference(spm,[status(thm)],[c_0_66, c_0_67])).
0.52/0.70	thf(c_0_71, negated_conjecture, ![X3:$i, X11:mu]:(rel_s4 @ X3 @ (esk9_3 @ esk10_0 @ X11 @ X3)|exists_in_world @ esk6_0 @ esk5_0|~rel_s4 @ esk10_0 @ X3|~exists_in_world @ X11 @ esk10_0), inference(spm,[status(thm)],[c_0_68, c_0_40])).
0.52/0.70	thf(c_0_72, negated_conjecture, (exists_in_world @ esk11_0 @ esk10_0|~rel_s4 @ esk3_0 @ esk7_0|~exists_in_world @ esk6_0 @ esk7_0), inference(spm,[status(thm)],[c_0_69, c_0_70])).
0.52/0.70	thf(c_0_73, negated_conjecture, ![X11:mu]:(rel_s4 @ esk10_0 @ (esk9_3 @ esk10_0 @ X11 @ esk10_0)|exists_in_world @ esk6_0 @ esk5_0|~exists_in_world @ X11 @ esk10_0), inference(spm,[status(thm)],[c_0_71, c_0_43])).
0.52/0.70	thf(c_0_74, negated_conjecture, (exists_in_world @ esk11_0 @ esk10_0|~rel_s4 @ esk3_0 @ esk7_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_63]), c_0_65])).
0.52/0.70	thf(c_0_75, negated_conjecture, (rel_s4 @ esk10_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0)|exists_in_world @ esk6_0 @ esk5_0|~rel_s4 @ esk3_0 @ esk7_0), inference(spm,[status(thm)],[c_0_73, c_0_74])).
0.52/0.70	thf(c_0_76, negated_conjecture, ![X3:$i]:(rel_s4 @ X3 @ (esk4_2 @ esk7_0 @ esk6_0)|exists_in_world @ esk11_0 @ esk10_0|~rel_s4 @ X3 @ esk7_0), inference(spm,[status(thm)],[c_0_22, c_0_67])).
0.52/0.70	thf(c_0_77, negated_conjecture, ![X3:$i]:(f @ esk11_0 @ X3|exists_in_world @ esk6_0 @ esk5_0|~rel_s4 @ esk10_0 @ X3), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_78, negated_conjecture, (rel_s4 @ esk10_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0)|exists_in_world @ esk6_0 @ esk5_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75, c_0_60]), c_0_61])])).
0.52/0.70	thf(c_0_79, negated_conjecture, ![X3:$i]:(rel_s4 @ X3 @ (esk4_2 @ esk7_0 @ esk6_0)|exists_in_world @ esk11_0 @ esk10_0|~rel_s4 @ X3 @ esk5_0), inference(spm,[status(thm)],[c_0_76, c_0_60])).
0.52/0.70	thf(c_0_80, negated_conjecture, ![X11:mu]:(exists_in_world @ X11 @ (esk4_2 @ esk7_0 @ esk6_0)|exists_in_world @ esk11_0 @ esk10_0|~exists_in_world @ X11 @ esk7_0), inference(spm,[status(thm)],[c_0_27, c_0_67])).
0.52/0.70	thf(c_0_81, negated_conjecture, ![X11:mu, X7:$i, X3:$i]:(exists_in_world @ esk6_0 @ esk5_0|~f @ X11 @ (esk9_3 @ X3 @ X11 @ X7)|~rel_s4 @ X3 @ X7|~exists_in_world @ X11 @ X3|~rel_s4 @ esk8_0 @ X3), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_82, negated_conjecture, (f @ esk11_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0)|exists_in_world @ esk6_0 @ esk5_0), inference(spm,[status(thm)],[c_0_77, c_0_78])).
0.52/0.70	thf(c_0_83, negated_conjecture, (rel_s4 @ esk3_0 @ (esk4_2 @ esk7_0 @ esk6_0)|exists_in_world @ esk11_0 @ esk10_0), inference(spm,[status(thm)],[c_0_79, c_0_61])).
0.52/0.70	thf(c_0_84, negated_conjecture, ![X11:mu]:(exists_in_world @ X11 @ (esk4_2 @ esk7_0 @ esk6_0)|exists_in_world @ esk11_0 @ esk10_0|~exists_in_world @ X11 @ esk5_0), inference(spm,[status(thm)],[c_0_80, c_0_63])).
0.52/0.70	thf(c_0_85, negated_conjecture, exists_in_world @ esk6_0 @ esk5_0, inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_82]), c_0_40]), c_0_43])]), c_0_65])).
0.52/0.70	thf(c_0_86, negated_conjecture, ![X11:mu]:(rel_s4 @ (esk4_2 @ esk7_0 @ esk6_0) @ (esk4_2 @ (esk4_2 @ esk7_0 @ esk6_0) @ X11)|exists_in_world @ esk11_0 @ esk10_0|~exists_in_world @ X11 @ (esk4_2 @ esk7_0 @ esk6_0)), inference(spm,[status(thm)],[c_0_59, c_0_83])).
0.52/0.70	thf(c_0_87, negated_conjecture, (exists_in_world @ esk6_0 @ (esk4_2 @ esk7_0 @ esk6_0)|exists_in_world @ esk11_0 @ esk10_0), inference(spm,[status(thm)],[c_0_84, c_0_85])).
0.52/0.70	thf(c_0_88, negated_conjecture, ![X7:$i, X3:$i, X13:mu, X11:mu, X15:$i]:(rel_s4 @ X3 @ (esk9_3 @ X7 @ X11 @ X3)|rel_s4 @ X15 @ (esk4_2 @ X15 @ X13)|~rel_s4 @ X7 @ X3|~exists_in_world @ X11 @ X7|~rel_s4 @ esk8_0 @ X7|~exists_in_world @ X13 @ X15|~rel_s4 @ esk3_0 @ X15), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_89, negated_conjecture, (rel_s4 @ (esk4_2 @ esk7_0 @ esk6_0) @ (esk4_2 @ (esk4_2 @ esk7_0 @ esk6_0) @ esk6_0)|exists_in_world @ esk11_0 @ esk10_0), inference(spm,[status(thm)],[c_0_86, c_0_87])).
0.52/0.70	thf(c_0_90, negated_conjecture, ![X3:$i, X11:mu, X13:mu, X7:$i]:(rel_s4 @ esk7_0 @ (esk4_2 @ esk7_0 @ X11)|rel_s4 @ X3 @ (esk9_3 @ X7 @ X13 @ X3)|~rel_s4 @ esk8_0 @ X7|~exists_in_world @ X11 @ esk7_0|~rel_s4 @ X7 @ X3|~exists_in_world @ X13 @ X7), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88, c_0_60]), c_0_61])])).
0.52/0.70	thf(c_0_91, negated_conjecture, ![X3:$i]:(rel_s4 @ X3 @ esk10_0|~rel_s4 @ X3 @ esk8_0), inference(spm,[status(thm)],[c_0_22, c_0_40])).
0.52/0.70	thf(c_0_92, negated_conjecture, ![X3:$i]:(rel_s4 @ X3 @ (esk4_2 @ (esk4_2 @ esk7_0 @ esk6_0) @ esk6_0)|exists_in_world @ esk11_0 @ esk10_0|~rel_s4 @ X3 @ (esk4_2 @ esk7_0 @ esk6_0)), inference(spm,[status(thm)],[c_0_22, c_0_89])).
0.52/0.70	thf(c_0_93, negated_conjecture, ![X3:$i, X13:mu, X11:mu]:(rel_s4 @ X3 @ (esk9_3 @ esk10_0 @ X11 @ X3)|rel_s4 @ esk7_0 @ (esk4_2 @ esk7_0 @ X13)|~exists_in_world @ X13 @ esk7_0|~rel_s4 @ esk10_0 @ X3|~exists_in_world @ X11 @ esk10_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90, c_0_91]), c_0_43])])).
0.52/0.70	thf(c_0_94, negated_conjecture, (rel_s4 @ esk7_0 @ (esk4_2 @ (esk4_2 @ esk7_0 @ esk6_0) @ esk6_0)|exists_in_world @ esk11_0 @ esk10_0), inference(spm,[status(thm)],[c_0_92, c_0_67])).
0.52/0.70	thf(c_0_95, negated_conjecture, ![X3:$i, X13:mu, X11:mu]:(rel_s4 @ esk7_0 @ (esk4_2 @ esk7_0 @ X11)|rel_s4 @ X3 @ (esk9_3 @ esk10_0 @ X13 @ X3)|~rel_s4 @ esk10_0 @ X3|~exists_in_world @ X13 @ esk10_0|~exists_in_world @ X11 @ esk5_0), inference(spm,[status(thm)],[c_0_93, c_0_63])).
0.52/0.70	thf(c_0_96, negated_conjecture, (f @ esk6_0 @ (esk4_2 @ (esk4_2 @ esk7_0 @ esk6_0) @ esk6_0)|exists_in_world @ esk11_0 @ esk10_0), inference(spm,[status(thm)],[c_0_66, c_0_94])).
0.52/0.70	thf(c_0_97, negated_conjecture, ![X11:mu, X13:mu]:(rel_s4 @ esk10_0 @ (esk9_3 @ esk10_0 @ X11 @ esk10_0)|rel_s4 @ esk7_0 @ (esk4_2 @ esk7_0 @ X13)|~exists_in_world @ X11 @ esk10_0|~exists_in_world @ X13 @ esk5_0), inference(spm,[status(thm)],[c_0_95, c_0_43])).
0.52/0.70	thf(c_0_98, negated_conjecture, exists_in_world @ esk11_0 @ esk10_0, inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69, c_0_96]), c_0_87]), c_0_83])).
0.52/0.70	thf(c_0_99, negated_conjecture, ![X11:mu]:(rel_s4 @ esk10_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0)|rel_s4 @ esk7_0 @ (esk4_2 @ esk7_0 @ X11)|~exists_in_world @ X11 @ esk5_0), inference(spm,[status(thm)],[c_0_97, c_0_98])).
0.52/0.70	thf(c_0_100, negated_conjecture, ![X11:mu, X7:$i, X3:$i, X15:$i]:(rel_s4 @ X3 @ (esk9_3 @ X7 @ X11 @ X3)|f @ esk6_0 @ X15|~rel_s4 @ X7 @ X3|~exists_in_world @ X11 @ X7|~rel_s4 @ esk8_0 @ X7|~rel_s4 @ esk7_0 @ X15), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_101, negated_conjecture, (rel_s4 @ esk10_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0)|rel_s4 @ esk7_0 @ (esk4_2 @ esk7_0 @ esk6_0)), inference(spm,[status(thm)],[c_0_99, c_0_85])).
0.52/0.70	thf(c_0_102, negated_conjecture, ![X3:$i, X11:mu, X7:$i]:(rel_s4 @ esk10_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0)|f @ esk6_0 @ (esk4_2 @ esk7_0 @ esk6_0)|rel_s4 @ X3 @ (esk9_3 @ X7 @ X11 @ X3)|~rel_s4 @ esk8_0 @ X7|~rel_s4 @ X7 @ X3|~exists_in_world @ X11 @ X7), inference(spm,[status(thm)],[c_0_100, c_0_101])).
0.52/0.70	thf(c_0_103, negated_conjecture, ![X3:$i, X11:mu]:(rel_s4 @ esk10_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0)|f @ esk6_0 @ (esk4_2 @ esk7_0 @ esk6_0)|rel_s4 @ X3 @ (esk9_3 @ esk10_0 @ X11 @ X3)|~rel_s4 @ esk10_0 @ X3|~exists_in_world @ X11 @ esk10_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102, c_0_91]), c_0_43])])).
0.52/0.70	thf(c_0_104, negated_conjecture, ![X11:mu]:(rel_s4 @ esk10_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0)|rel_s4 @ esk10_0 @ (esk9_3 @ esk10_0 @ X11 @ esk10_0)|f @ esk6_0 @ (esk4_2 @ esk7_0 @ esk6_0)|~exists_in_world @ X11 @ esk10_0), inference(spm,[status(thm)],[c_0_103, c_0_43])).
0.52/0.70	thf(c_0_105, negated_conjecture, ![X7:$i, X11:mu, X13:mu, X3:$i, X15:$i]:(rel_s4 @ X3 @ (esk9_3 @ X7 @ X11 @ X3)|~rel_s4 @ X7 @ X3|~exists_in_world @ X11 @ X7|~rel_s4 @ esk8_0 @ X7|~f @ X13 @ (esk4_2 @ X15 @ X13)|~exists_in_world @ X13 @ X15|~rel_s4 @ esk3_0 @ X15), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_106, negated_conjecture, (rel_s4 @ esk10_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0)|f @ esk6_0 @ (esk4_2 @ esk7_0 @ esk6_0)), inference(spm,[status(thm)],[c_0_104, c_0_98])).
0.52/0.70	thf(c_0_107, negated_conjecture, ![X3:$i, X11:mu, X7:$i]:(rel_s4 @ esk10_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0)|rel_s4 @ X3 @ (esk9_3 @ X7 @ X11 @ X3)|~rel_s4 @ esk3_0 @ esk7_0|~exists_in_world @ esk6_0 @ esk7_0|~rel_s4 @ esk8_0 @ X7|~rel_s4 @ X7 @ X3|~exists_in_world @ X11 @ X7), inference(spm,[status(thm)],[c_0_105, c_0_106])).
0.52/0.70	thf(c_0_108, negated_conjecture, ![X3:$i, X11:mu, X7:$i]:(rel_s4 @ esk10_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0)|rel_s4 @ X3 @ (esk9_3 @ X7 @ X11 @ X3)|~exists_in_world @ esk6_0 @ esk7_0|~rel_s4 @ esk8_0 @ X7|~rel_s4 @ X7 @ X3|~exists_in_world @ X11 @ X7), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107, c_0_60]), c_0_61])])).
0.52/0.70	thf(c_0_109, negated_conjecture, ![X3:$i, X11:mu, X7:$i]:(rel_s4 @ esk10_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0)|rel_s4 @ X3 @ (esk9_3 @ X7 @ X11 @ X3)|~rel_s4 @ esk8_0 @ X7|~rel_s4 @ X7 @ X3|~exists_in_world @ X11 @ X7), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108, c_0_63]), c_0_85])])).
0.52/0.70	thf(c_0_110, negated_conjecture, ![X3:$i, X11:mu]:(rel_s4 @ esk10_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0)|rel_s4 @ X3 @ (esk9_3 @ esk10_0 @ X11 @ X3)|~rel_s4 @ esk10_0 @ X3|~exists_in_world @ X11 @ esk10_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109, c_0_91]), c_0_43])])).
0.52/0.70	thf(c_0_111, negated_conjecture, ![X3:$i, X11:mu, X7:$i]:(f @ esk11_0 @ X3|rel_s4 @ X7 @ (esk4_2 @ X7 @ X11)|~rel_s4 @ esk10_0 @ X3|~exists_in_world @ X11 @ X7|~rel_s4 @ esk3_0 @ X7), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_112, negated_conjecture, ![X11:mu]:(rel_s4 @ esk10_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0)|rel_s4 @ esk10_0 @ (esk9_3 @ esk10_0 @ X11 @ esk10_0)|~exists_in_world @ X11 @ esk10_0), inference(spm,[status(thm)],[c_0_110, c_0_43])).
0.52/0.70	thf(c_0_113, negated_conjecture, ![X3:$i, X11:mu]:(rel_s4 @ esk7_0 @ (esk4_2 @ esk7_0 @ X11)|f @ esk11_0 @ X3|~rel_s4 @ esk10_0 @ X3|~exists_in_world @ X11 @ esk7_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111, c_0_60]), c_0_61])])).
0.52/0.70	thf(c_0_114, negated_conjecture, rel_s4 @ esk10_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0), inference(spm,[status(thm)],[c_0_112, c_0_98])).
0.52/0.70	thf(c_0_115, negated_conjecture, ![X11:mu]:(f @ esk11_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0)|rel_s4 @ esk7_0 @ (esk4_2 @ esk7_0 @ X11)|~exists_in_world @ X11 @ esk7_0), inference(spm,[status(thm)],[c_0_113, c_0_114])).
0.52/0.70	thf(c_0_116, negated_conjecture, ![X11:mu]:(f @ esk11_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0)|rel_s4 @ esk7_0 @ (esk4_2 @ esk7_0 @ X11)|~exists_in_world @ X11 @ esk5_0), inference(spm,[status(thm)],[c_0_115, c_0_63])).
0.52/0.70	thf(c_0_117, negated_conjecture, ![X3:$i, X11:mu, X13:mu, X7:$i, X15:$i]:(rel_s4 @ X15 @ (esk4_2 @ X15 @ X13)|~f @ X11 @ (esk9_3 @ X3 @ X11 @ X7)|~rel_s4 @ X3 @ X7|~exists_in_world @ X11 @ X3|~rel_s4 @ esk8_0 @ X3|~exists_in_world @ X13 @ X15|~rel_s4 @ esk3_0 @ X15), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_118, negated_conjecture, (f @ esk11_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0)|rel_s4 @ esk7_0 @ (esk4_2 @ esk7_0 @ esk6_0)), inference(spm,[status(thm)],[c_0_116, c_0_85])).
0.52/0.70	thf(c_0_119, negated_conjecture, ![X11:mu, X3:$i]:(rel_s4 @ esk7_0 @ (esk4_2 @ esk7_0 @ esk6_0)|rel_s4 @ X3 @ (esk4_2 @ X3 @ X11)|~rel_s4 @ esk3_0 @ X3|~exists_in_world @ X11 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117, c_0_118]), c_0_40]), c_0_43]), c_0_98])])).
0.52/0.70	thf(c_0_120, negated_conjecture, ![X11:mu]:(rel_s4 @ esk7_0 @ (esk4_2 @ esk7_0 @ esk6_0)|rel_s4 @ esk7_0 @ (esk4_2 @ esk7_0 @ X11)|~exists_in_world @ X11 @ esk7_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119, c_0_60]), c_0_61])])).
0.52/0.70	thf(c_0_121, negated_conjecture, ![X11:mu]:(rel_s4 @ esk7_0 @ (esk4_2 @ esk7_0 @ esk6_0)|rel_s4 @ esk7_0 @ (esk4_2 @ esk7_0 @ X11)|~exists_in_world @ X11 @ esk5_0), inference(spm,[status(thm)],[c_0_120, c_0_63])).
0.52/0.70	thf(c_0_122, negated_conjecture, ![X3:$i, X7:$i]:(f @ esk11_0 @ X3|f @ esk6_0 @ X7|~rel_s4 @ esk10_0 @ X3|~rel_s4 @ esk7_0 @ X7), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_123, negated_conjecture, rel_s4 @ esk7_0 @ (esk4_2 @ esk7_0 @ esk6_0), inference(spm,[status(thm)],[c_0_121, c_0_85])).
0.52/0.70	thf(c_0_124, negated_conjecture, ![X3:$i]:(f @ esk6_0 @ (esk4_2 @ esk7_0 @ esk6_0)|f @ esk11_0 @ X3|~rel_s4 @ esk10_0 @ X3), inference(spm,[status(thm)],[c_0_122, c_0_123])).
0.52/0.70	thf(c_0_125, negated_conjecture, ![X3:$i]:(rel_s4 @ X3 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0)|~rel_s4 @ X3 @ esk10_0), inference(spm,[status(thm)],[c_0_22, c_0_114])).
0.52/0.70	thf(c_0_126, negated_conjecture, ![X3:$i, X11:mu, X7:$i]:(f @ esk11_0 @ X3|~rel_s4 @ esk10_0 @ X3|~f @ X11 @ (esk4_2 @ X7 @ X11)|~exists_in_world @ X11 @ X7|~rel_s4 @ esk3_0 @ X7), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_127, negated_conjecture, (f @ esk11_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0)|f @ esk6_0 @ (esk4_2 @ esk7_0 @ esk6_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124, c_0_125]), c_0_43])])).
0.52/0.70	thf(c_0_128, negated_conjecture, ![X3:$i]:(f @ esk11_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0)|f @ esk11_0 @ X3|~rel_s4 @ esk3_0 @ esk7_0|~exists_in_world @ esk6_0 @ esk7_0|~rel_s4 @ esk10_0 @ X3), inference(spm,[status(thm)],[c_0_126, c_0_127])).
0.52/0.70	thf(c_0_129, negated_conjecture, ![X3:$i]:(f @ esk11_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0)|f @ esk11_0 @ X3|~exists_in_world @ esk6_0 @ esk7_0|~rel_s4 @ esk10_0 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128, c_0_60]), c_0_61])])).
0.52/0.70	thf(c_0_130, negated_conjecture, ![X3:$i]:(f @ esk11_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0)|f @ esk11_0 @ X3|~rel_s4 @ esk10_0 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129, c_0_63]), c_0_85])])).
0.52/0.70	thf(c_0_131, negated_conjecture, ![X7:$i, X11:mu, X13:mu, X3:$i, X15:$i]:(~f @ X11 @ (esk9_3 @ X3 @ X11 @ X7)|~rel_s4 @ X3 @ X7|~exists_in_world @ X11 @ X3|~rel_s4 @ esk8_0 @ X3|~f @ X13 @ (esk4_2 @ X15 @ X13)|~exists_in_world @ X13 @ X15|~rel_s4 @ esk3_0 @ X15), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_132, negated_conjecture, f @ esk11_0 @ (esk9_3 @ esk10_0 @ esk11_0 @ esk10_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130, c_0_125]), c_0_43])])).
0.52/0.70	thf(c_0_133, negated_conjecture, ![X11:mu, X7:$i, X3:$i, X15:$i]:(f @ esk6_0 @ X15|~f @ X11 @ (esk9_3 @ X3 @ X11 @ X7)|~rel_s4 @ X3 @ X7|~exists_in_world @ X11 @ X3|~rel_s4 @ esk8_0 @ X3|~rel_s4 @ esk7_0 @ X15), inference(split_conjunct,[status(thm)],[c_0_20])).
0.52/0.70	thf(c_0_134, negated_conjecture, ![X11:mu, X3:$i]:(~f @ X11 @ (esk4_2 @ X3 @ X11)|~rel_s4 @ esk3_0 @ X3|~exists_in_world @ X11 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131, c_0_132]), c_0_40]), c_0_43]), c_0_98])])).
0.52/0.70	thf(c_0_135, negated_conjecture, ![X3:$i]:(f @ esk6_0 @ X3|~rel_s4 @ esk7_0 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133, c_0_132]), c_0_40]), c_0_43]), c_0_98])])).
0.52/0.70	thf(c_0_136, negated_conjecture, ![X3:$i]:(~rel_s4 @ esk7_0 @ (esk4_2 @ X3 @ esk6_0)|~rel_s4 @ esk3_0 @ X3|~exists_in_world @ esk6_0 @ X3), inference(spm,[status(thm)],[c_0_134, c_0_135])).
0.52/0.70	thf(c_0_137, negated_conjecture, ![X3:$i]:(rel_s4 @ X3 @ (esk4_2 @ esk7_0 @ esk6_0)|~rel_s4 @ X3 @ esk7_0), inference(spm,[status(thm)],[c_0_22, c_0_123])).
0.52/0.70	thf(c_0_138, negated_conjecture, (~rel_s4 @ esk3_0 @ esk7_0|~exists_in_world @ esk6_0 @ esk7_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136, c_0_137]), c_0_43])])).
0.52/0.70	thf(c_0_139, negated_conjecture, ~rel_s4 @ esk3_0 @ esk7_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_138, c_0_63]), c_0_85])])).
0.52/0.70	thf(c_0_140, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139, c_0_60]), c_0_61])]), ['proof']).
0.52/0.70	# SZS output end CNFRefutation
0.52/0.70	# Proof object total steps             : 141
0.52/0.70	# Proof object clause steps            : 116
0.52/0.70	# Proof object formula steps           : 25
0.52/0.70	# Proof object conjectures             : 116
0.52/0.70	# Proof object clause conjectures      : 113
0.52/0.70	# Proof object formula conjectures     : 3
0.52/0.70	# Proof object initial clauses used    : 33
0.52/0.70	# Proof object initial formulas used   : 14
0.52/0.70	# Proof object generating inferences   : 83
0.52/0.70	# Proof object simplifying inferences  : 63
0.52/0.70	# Training examples: 0 positive, 0 negative
0.52/0.70	# Parsed axioms                        : 74
0.52/0.70	# Removed by relevancy pruning/SinE    : 0
0.52/0.70	# Initial clauses                      : 83
0.52/0.70	# Removed in clause preprocessing      : 37
0.52/0.70	# Initial clauses in saturation        : 46
0.52/0.70	# Processed clauses                    : 4221
0.52/0.70	# ...of these trivial                  : 3
0.52/0.70	# ...subsumed                          : 1527
0.52/0.70	# ...remaining for further processing  : 2691
0.52/0.70	# Other redundant clauses eliminated   : 0
0.52/0.70	# Clauses deleted for lack of memory   : 0
0.52/0.70	# Backward-subsumed                    : 275
0.52/0.70	# Backward-rewritten                   : 972
0.52/0.70	# Generated clauses                    : 8919
0.52/0.70	# ...of the previous two non-trivial   : 8790
0.52/0.70	# Contextual simplify-reflections      : 14
0.52/0.70	# Paramodulations                      : 8919
0.52/0.70	# Factorizations                       : 0
0.52/0.70	# NegExts                              : 0
0.52/0.70	# Equation resolutions                 : 0
0.52/0.70	# Propositional unsat checks           : 0
0.52/0.70	#    Propositional check models        : 0
0.52/0.70	#    Propositional check unsatisfiable : 0
0.52/0.70	#    Propositional clauses             : 0
0.52/0.70	#    Propositional clauses after purity: 0
0.52/0.70	#    Propositional unsat core size     : 0
0.52/0.70	#    Propositional preprocessing time  : 0.000
0.52/0.70	#    Propositional encoding time       : 0.000
0.52/0.70	#    Propositional solver time         : 0.000
0.52/0.70	#    Success case prop preproc time    : 0.000
0.52/0.70	#    Success case prop encoding time   : 0.000
0.52/0.70	#    Success case prop solver time     : 0.000
0.52/0.70	# Current number of processed clauses  : 1398
0.52/0.70	#    Positive orientable unit clauses  : 21
0.52/0.70	#    Positive unorientable unit clauses: 0
0.52/0.70	#    Negative unit clauses             : 4
0.52/0.70	#    Non-unit-clauses                  : 1373
0.52/0.70	# Current number of unprocessed clauses: 3571
0.52/0.70	# ...number of literals in the above   : 17884
0.52/0.70	# Current number of archived formulas  : 0
0.52/0.70	# Current number of archived clauses   : 1293
0.52/0.70	# Clause-clause subsumption calls (NU) : 159493
0.52/0.70	# Rec. Clause-clause subsumption calls : 76639
0.52/0.70	# Non-unit clause-clause subsumptions  : 1806
0.52/0.70	# Unit Clause-clause subsumption calls : 4375
0.52/0.70	# Rewrite failures with RHS unbound    : 0
0.52/0.70	# BW rewrite match attempts            : 18
0.52/0.70	# BW rewrite match successes           : 16
0.52/0.70	# Condensation attempts                : 0
0.52/0.70	# Condensation successes               : 0
0.52/0.70	# Termbank termtop insertions          : 236932
0.52/0.70	
0.52/0.70	# -------------------------------------------------
0.52/0.70	# User time                : 0.379 s
0.52/0.70	# System time              : 0.009 s
0.52/0.70	# Total time               : 0.388 s
0.52/0.70	# Maximum resident set size: 1732 pages
0.52/0.70	EOF