0.03/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.12	% Command    : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.12/0.33	% Computer : n001.cluster.edu
0.12/0.33	% Model    : x86_64 x86_64
0.12/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory   : 8042.1875MB
0.12/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 1920
0.12/0.33	% WCLimit    : 240
0.12/0.33	% DateTime   : Wed Jul 30 10:18:49 EDT 2025
0.12/0.34	% CPUTime    : 
0.21/0.48	Running higher-order theorem proving
0.21/0.52	Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=240 /export/starexec/sandbox2/tmp/tmp.pcYExhjkuj/E---3.1_31356.p
0.38/0.65	# Version: 3.0.0-ho
0.38/0.65	# Preprocessing class: HSLMSMSSLLLCHSA.
0.38/0.65	# Scheduled 6 strats onto 8 cores with 240 seconds (1920 total)
0.38/0.65	# Starting lpo1_fix with 720s (3) cores
0.38/0.65	# Starting full_lambda_9 with 240s (1) cores
0.38/0.65	# Starting almost_fo_4 with 240s (1) cores
0.38/0.65	# Starting new_ho_9 with 240s (1) cores
0.38/0.65	# Starting pre_casc_4 with 240s (1) cores
0.38/0.65	# Starting ho_unfolding_6 with 240s (1) cores
0.38/0.65	# full_lambda_9 with pid 31435 completed with status 0
0.38/0.65	# Result found by full_lambda_9
0.38/0.65	# Preprocessing class: HSLMSMSSLLLCHSA.
0.38/0.65	# Scheduled 6 strats onto 8 cores with 240 seconds (1920 total)
0.38/0.65	# Starting lpo1_fix with 720s (3) cores
0.38/0.65	# Starting full_lambda_9 with 240s (1) cores
0.38/0.65	# SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
0.38/0.65	# Search class: HGHSM-FSLM32-DHSMMSBN
0.38/0.65	# partial match(1): HGHSM-FSLM32-MHSMMSBN
0.38/0.65	# Scheduled 12 strats onto 1 cores with 240 seconds (240 total)
0.38/0.65	# Starting full_lambda_5 with 20s (1) cores
0.38/0.65	# full_lambda_5 with pid 31441 completed with status 0
0.38/0.65	# Result found by full_lambda_5
0.38/0.65	# Preprocessing class: HSLMSMSSLLLCHSA.
0.38/0.65	# Scheduled 6 strats onto 8 cores with 240 seconds (1920 total)
0.38/0.65	# Starting lpo1_fix with 720s (3) cores
0.38/0.65	# Starting full_lambda_9 with 240s (1) cores
0.38/0.65	# SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
0.38/0.65	# Search class: HGHSM-FSLM32-DHSMMSBN
0.38/0.65	# partial match(1): HGHSM-FSLM32-MHSMMSBN
0.38/0.65	# Scheduled 12 strats onto 1 cores with 240 seconds (240 total)
0.38/0.65	# Starting full_lambda_5 with 20s (1) cores
0.38/0.65	# Preprocessing time       : 0.006 s
0.38/0.65	# Presaturation interreduction done
0.38/0.65	
0.38/0.65	# Proof found!
0.38/0.65	# SZS status Theorem
0.38/0.65	# SZS output start CNFRefutation
0.38/0.65	thf(decl_23, type, is_of: $i > ($i > $o) > $o).
0.38/0.65	thf(decl_24, type, all_of: ($i > $o) > ($i > $o) > $o).
0.38/0.65	thf(decl_26, type, in: $i > $i > $o).
0.38/0.65	thf(decl_62, type, imp: $o > $o > $o).
0.38/0.65	thf(decl_63, type, d_not: $o > $o).
0.38/0.65	thf(decl_68, type, l_or: $o > $o > $o).
0.38/0.65	thf(decl_73, type, l_some: $i > ($i > $o) > $o).
0.38/0.65	thf(decl_78, type, e_is: $i > $i > $i > $o).
0.38/0.65	thf(decl_124, type, nat: $i).
0.38/0.65	thf(decl_125, type, n_is: $i > $i > $o).
0.38/0.65	thf(decl_128, type, n_some: ($i > $o) > $o).
0.38/0.65	thf(decl_143, type, n_pl: $i > $i > $i).
0.38/0.65	thf(decl_148, type, diffprop: $i > $i > $i > $o).
0.38/0.65	thf(decl_149, type, d_29_ii: $i > $i > $o).
0.38/0.65	thf(decl_150, type, iii: $i > $i > $o).
0.38/0.65	thf(decl_152, type, moreis: $i > $i > $o).
0.38/0.65	thf(decl_156, type, esk1_0: $i).
0.38/0.65	thf(decl_157, type, esk2_0: $i).
0.38/0.65	thf(decl_158, type, esk3_0: $i).
0.38/0.65	thf(decl_159, type, esk4_0: $i).
0.38/0.65	thf(def_d_not, axiom, ((d_not)=(^[X36:$o]:((imp @ ((X36)) @ (~($true)))))), file('/export/starexec/sandbox2/tmp/tmp.pcYExhjkuj/E---3.1_31356.p', def_d_not)).
0.38/0.65	thf(def_imp, axiom, ((imp)=(^[X34:$o, X35:$o]:(((X34)=>(X35))))), file('/export/starexec/sandbox2/tmp/tmp.pcYExhjkuj/E---3.1_31356.p', def_imp)).
0.38/0.65	thf(def_d_29_ii, axiom, ((d_29_ii)=(^[X1:$i, X184:$i]:((n_some @ (diffprop @ X1 @ X184))))), file('/export/starexec/sandbox2/tmp/tmp.pcYExhjkuj/E---3.1_31356.p', def_d_29_ii)).
0.38/0.65	thf(def_l_or, axiom, ((l_or)=(^[X42:$o]:(imp @ ((d_not @ ((X42))))))), file('/export/starexec/sandbox2/tmp/tmp.pcYExhjkuj/E---3.1_31356.p', def_l_or)).
0.38/0.65	thf(def_e_is, axiom, ((e_is)=(^[X1:$i, X60:$i, X61:$i]:(((X60)=(X61))))), file('/export/starexec/sandbox2/tmp/tmp.pcYExhjkuj/E---3.1_31356.p', def_e_is)).
0.38/0.65	thf(def_moreis, axiom, ((moreis)=(^[X1:$i, X187:$i]:((l_or @ ((d_29_ii @ X1 @ X187)) @ ((n_is @ X1 @ X187)))))), file('/export/starexec/sandbox2/tmp/tmp.pcYExhjkuj/E---3.1_31356.p', def_moreis)).
0.38/0.65	thf(def_n_some, axiom, ((n_some)=(l_some @ nat)), file('/export/starexec/sandbox2/tmp/tmp.pcYExhjkuj/E---3.1_31356.p', def_n_some)).
0.38/0.65	thf(def_n_is, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox2/tmp/tmp.pcYExhjkuj/E---3.1_31356.p', def_n_is)).
0.38/0.65	thf(def_all_of, axiom, ((all_of)=(^[X3:$i > $o, X2:$i > $o]:(![X4:$i]:(((is_of @ X4 @ X3)=>(X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.pcYExhjkuj/E---3.1_31356.p', def_all_of)).
0.38/0.65	thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox2/tmp/tmp.pcYExhjkuj/E---3.1_31356.p', def_is_of)).
0.38/0.65	thf(satz23, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((all_of @ (^[X207:$i]:((in @ X207 @ nat))) @ (^[X208:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ nat))) @ (^[X4:$i]:((all_of @ (^[X10:$i]:((in @ X10 @ nat))) @ (^[X10:$i]:((((moreis @ (n_pl @ X1 @ X4) @ (n_pl @ X208 @ X10))<=(moreis @ X4 @ X10))<=(moreis @ X1 @ X208)))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.pcYExhjkuj/E---3.1_31356.p', satz23)).
0.38/0.65	thf(satz22b, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((all_of @ (^[X191:$i]:((in @ X191 @ nat))) @ (^[X192:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ nat))) @ (^[X4:$i]:((all_of @ (^[X10:$i]:((in @ X10 @ nat))) @ (^[X10:$i]:((((d_29_ii @ (n_pl @ X1 @ X4) @ (n_pl @ X192 @ X10))<=(moreis @ X4 @ X10))<=(d_29_ii @ X1 @ X192)))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.pcYExhjkuj/E---3.1_31356.p', satz22b)).
0.38/0.65	thf(def_iii, axiom, ((iii)=(^[X1:$i, X185:$i]:((n_some @ (diffprop @ X185 @ X1))))), file('/export/starexec/sandbox2/tmp/tmp.pcYExhjkuj/E---3.1_31356.p', def_iii)).
0.38/0.65	thf(satz19c, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((all_of @ (^[X233:$i]:((in @ X233 @ nat))) @ (^[X234:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ nat))) @ (^[X4:$i]:(((iii @ X1 @ X234)=>(iii @ (n_pl @ X1 @ X4) @ (n_pl @ X234 @ X4)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.pcYExhjkuj/E---3.1_31356.p', satz19c)).
0.38/0.65	thf(satz19f, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((all_of @ (^[X251:$i]:((in @ X251 @ nat))) @ (^[X252:$i]:((all_of @ (^[X4:$i]:((in @ X4 @ nat))) @ (^[X4:$i]:(((iii @ (n_pl @ X4 @ X1) @ (n_pl @ X4 @ X252))<=(iii @ X1 @ X252))))))))))), file('/export/starexec/sandbox2/tmp/tmp.pcYExhjkuj/E---3.1_31356.p', satz19f)).
0.38/0.65	thf(c_0_15, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_not])).
0.38/0.65	thf(c_0_16, plain, ((imp)=(^[Z0/* 19 */:$o, Z1:$o]:(((Z0)=>(Z1))))), inference(fof_simplification,[status(thm)],[def_imp])).
0.38/0.65	thf(c_0_17, plain, ((d_29_ii)=(^[Z0/* 19 */:$i, Z1:$i]:((l_some @ nat @ (diffprop @ Z0 @ Z1))))), inference(fof_simplification,[status(thm)],[def_d_29_ii])).
0.38/0.65	thf(c_0_18, plain, ((l_or)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(fof_simplification,[status(thm)],[def_l_or])).
0.38/0.65	thf(c_0_19, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_15, c_0_16])).
0.38/0.65	thf(c_0_20, plain, ((e_is)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:(((Z1)=(Z2))))), inference(fof_simplification,[status(thm)],[def_e_is])).
0.38/0.65	thf(c_0_21, plain, ((moreis)=(^[Z0/* 19 */:$i, Z1:$i]:(((((((((((l_some @ nat @ (diffprop @ Z0 @ Z1))))))=>(~($true)))))=>((((Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[def_moreis])).
0.38/0.65	thf(c_0_22, plain, ((d_29_ii)=(^[Z0/* 19 */:$i, Z1:$i]:((l_some @ nat @ (diffprop @ Z0 @ Z1))))), inference(apply_def,[status(thm)],[c_0_17, def_n_some])).
0.38/0.65	thf(c_0_23, plain, ((l_or)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_18, c_0_16]), c_0_19])).
0.38/0.65	thf(c_0_24, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_n_is, c_0_20])).
0.38/0.65	thf(c_0_25, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])).
0.38/0.65	thf(c_0_26, plain, ((is_of)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])).
0.38/0.65	thf(c_0_27, plain, ((moreis)=(^[Z0/* 19 */:$i, Z1:$i]:(((((((((((l_some @ nat @ (diffprop @ Z0 @ Z1))))))=>(~($true)))))=>((((Z0)=(Z1))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_21, c_0_22]), c_0_23]), c_0_24])).
0.38/0.65	thf(c_0_28, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_25, c_0_26])).
0.38/0.65	thf(c_0_29, negated_conjecture, ~(![X391:$i]:(((in @ X391 @ nat)=>![X390:$i]:(((in @ X390 @ nat)=>![X389:$i]:(((in @ X389 @ nat)=>![X388:$i]:(((in @ X388 @ nat)=>((((l_some @ nat @ (diffprop @ X391 @ X390))=>~($true))=>((X391)=(X390)))=>((((l_some @ nat @ (diffprop @ X389 @ X388))=>~($true))=>((X389)=(X388)))=>(((l_some @ nat @ (diffprop @ (n_pl @ X391 @ X389) @ (n_pl @ X390 @ X388)))=>~($true))=>((n_pl @ X391 @ X389)=(n_pl @ X390 @ X388)))))))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz23])]), c_0_27]), c_0_28])])).
0.38/0.65	thf(c_0_30, plain, ![X486:$i]:(((in @ X486 @ nat)=>![X485:$i]:(((in @ X485 @ nat)=>![X484:$i]:(((in @ X484 @ nat)=>![X483:$i]:(((in @ X483 @ nat)=>((l_some @ nat @ (diffprop @ X486 @ X485))=>((((l_some @ nat @ (diffprop @ X484 @ X483))=>~($true))=>((X484)=(X483)))=>(l_some @ nat @ (diffprop @ (n_pl @ X486 @ X484) @ (n_pl @ X485 @ X483))))))))))))), 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)],[satz22b]), c_0_27]), c_0_22]), c_0_28])])).
0.38/0.65	thf(c_0_31, negated_conjecture, ((in @ esk1_0 @ nat)&((in @ esk2_0 @ nat)&((in @ esk3_0 @ nat)&((in @ esk4_0 @ nat)&((((l_some @ nat @ (diffprop @ esk1_0 @ esk2_0))|((esk1_0)=(esk2_0)))&(($true)|((esk1_0)=(esk2_0))))&((((l_some @ nat @ (diffprop @ esk3_0 @ esk4_0))|((esk3_0)=(esk4_0)))&(($true)|((esk3_0)=(esk4_0))))&((~(l_some @ nat @ (diffprop @ (n_pl @ esk1_0 @ esk3_0) @ (n_pl @ esk2_0 @ esk4_0)))|~($true))&((n_pl @ esk1_0 @ esk3_0)!=(n_pl @ esk2_0 @ esk4_0))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])])])])).
0.38/0.65	thf(c_0_32, plain, ![X682:$i, X683:$i, X684:$i, X685:$i]:(((~(l_some @ nat @ (diffprop @ X684 @ X685))|~($true)|(l_some @ nat @ (diffprop @ (n_pl @ X682 @ X684) @ (n_pl @ X683 @ X685)))|~(l_some @ nat @ (diffprop @ X682 @ X683))|~(in @ X685 @ nat)|~(in @ X684 @ nat)|~(in @ X683 @ nat)|~(in @ X682 @ nat))&(((X684)!=(X685))|(l_some @ nat @ (diffprop @ (n_pl @ X682 @ X684) @ (n_pl @ X683 @ X685)))|~(l_some @ nat @ (diffprop @ X682 @ X683))|~(in @ X685 @ nat)|~(in @ X684 @ nat)|~(in @ X683 @ nat)|~(in @ X682 @ nat)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])])])).
0.38/0.65	thf(c_0_33, negated_conjecture, (~((l_some @ nat @ (diffprop @ (n_pl @ esk1_0 @ esk3_0) @ (n_pl @ esk2_0 @ esk4_0))))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_31])).
0.38/0.65	thf(c_0_34, plain, ![X1:$i, X4:$i, X6:$i, X5:$i]:(((l_some @ nat @ (diffprop @ (n_pl @ X5 @ X1) @ (n_pl @ X6 @ X4)))|~((l_some @ nat @ (diffprop @ X1 @ X4)))|~(($true))|~((l_some @ nat @ (diffprop @ X5 @ X6)))|~((in @ X4 @ nat))|~((in @ X1 @ nat))|~((in @ X6 @ nat))|~((in @ X5 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_32])).
0.38/0.65	thf(c_0_35, plain, ((iii)=(^[Z0/* 19 */:$i, Z1:$i]:((l_some @ nat @ (diffprop @ Z1 @ Z0))))), inference(fof_simplification,[status(thm)],[def_iii])).
0.38/0.65	thf(c_0_36, negated_conjecture, ~((l_some @ nat @ (diffprop @ (n_pl @ esk1_0 @ esk3_0) @ (n_pl @ esk2_0 @ esk4_0)))), inference(cn,[status(thm)],[c_0_33])).
0.38/0.65	thf(c_0_37, plain, ![X1:$i, X6:$i, X5:$i, X4:$i]:(((l_some @ nat @ (diffprop @ (n_pl @ X5 @ X1) @ (n_pl @ X6 @ X4)))|~((in @ X6 @ nat))|~((in @ X5 @ nat))|~((in @ X4 @ nat))|~((in @ X1 @ nat))|~((l_some @ nat @ (diffprop @ X5 @ X6)))|~((l_some @ nat @ (diffprop @ X1 @ X4))))), inference(cn,[status(thm)],[c_0_34])).
0.38/0.65	thf(c_0_38, negated_conjecture, (in @ esk2_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_31])).
0.38/0.65	thf(c_0_39, negated_conjecture, (in @ esk1_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_31])).
0.38/0.65	thf(c_0_40, negated_conjecture, (in @ esk4_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_31])).
0.38/0.65	thf(c_0_41, negated_conjecture, (in @ esk3_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_31])).
0.38/0.65	thf(c_0_42, plain, ((iii)=(^[Z0/* 19 */:$i, Z1:$i]:((l_some @ nat @ (diffprop @ Z1 @ Z0))))), inference(apply_def,[status(thm)],[c_0_35, def_n_some])).
0.38/0.65	thf(c_0_43, negated_conjecture, (~((l_some @ nat @ (diffprop @ esk1_0 @ esk2_0)))|~((l_some @ nat @ (diffprop @ esk3_0 @ esk4_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_38]), c_0_39]), c_0_40]), c_0_41])])).
0.38/0.65	thf(c_0_44, negated_conjecture, ((l_some @ nat @ (diffprop @ esk3_0 @ esk4_0))|((esk3_0)=(esk4_0))), inference(split_conjunct,[status(thm)],[c_0_31])).
0.38/0.65	thf(c_0_45, plain, ![X417:$i]:(((in @ X417 @ nat)=>![X416:$i]:(((in @ X416 @ nat)=>![X415:$i]:(((in @ X415 @ nat)=>((l_some @ nat @ (diffprop @ X416 @ X417))=>(l_some @ nat @ (diffprop @ (n_pl @ X416 @ X415) @ (n_pl @ X417 @ X415)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz19c]), c_0_42]), c_0_28])).
0.38/0.65	thf(c_0_46, negated_conjecture, (((esk4_0)=(esk3_0))|~((l_some @ nat @ (diffprop @ esk1_0 @ esk2_0)))), inference(spm,[status(thm)],[c_0_43, c_0_44])).
0.38/0.65	thf(c_0_47, plain, ![X616:$i, X617:$i, X618:$i]:((~(in @ X616 @ nat)|(~(in @ X617 @ nat)|(~(in @ X618 @ nat)|(~(l_some @ nat @ (diffprop @ X617 @ X616))|(l_some @ nat @ (diffprop @ (n_pl @ X617 @ X618) @ (n_pl @ X616 @ X618)))))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])])).
0.38/0.65	thf(c_0_48, negated_conjecture, (~((l_some @ nat @ (diffprop @ (n_pl @ esk1_0 @ esk3_0) @ (n_pl @ esk2_0 @ esk3_0))))|~((l_some @ nat @ (diffprop @ esk1_0 @ esk2_0)))), inference(spm,[status(thm)],[c_0_36, c_0_46])).
0.38/0.65	thf(c_0_49, plain, ![X5:$i, X4:$i, X1:$i]:(((l_some @ nat @ (diffprop @ (n_pl @ X4 @ X5) @ (n_pl @ X1 @ X5)))|~((in @ X1 @ nat))|~((in @ X4 @ nat))|~((in @ X5 @ nat))|~((l_some @ nat @ (diffprop @ X4 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_47])).
0.38/0.65	thf(c_0_50, negated_conjecture, ((l_some @ nat @ (diffprop @ esk1_0 @ esk2_0))|((esk1_0)=(esk2_0))), inference(split_conjunct,[status(thm)],[c_0_31])).
0.38/0.65	thf(c_0_51, negated_conjecture, ~((l_some @ nat @ (diffprop @ esk1_0 @ esk2_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_41]), c_0_39]), c_0_38])])).
0.38/0.65	thf(c_0_52, plain, ![X430:$i]:(((in @ X430 @ nat)=>![X429:$i]:(((in @ X429 @ nat)=>![X428:$i]:(((in @ X428 @ nat)=>((l_some @ nat @ (diffprop @ X429 @ X430))=>(l_some @ nat @ (diffprop @ (n_pl @ X428 @ X429) @ (n_pl @ X428 @ X430)))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz19f]), c_0_42]), c_0_28])])).
0.38/0.65	thf(c_0_53, negated_conjecture, ((esk2_0)=(esk1_0)), inference(sr,[status(thm)],[c_0_50, c_0_51])).
0.38/0.65	thf(c_0_54, plain, ![X627:$i, X628:$i, X629:$i]:((~(in @ X627 @ nat)|(~(in @ X628 @ nat)|(~(in @ X629 @ nat)|(~(l_some @ nat @ (diffprop @ X628 @ X627))|(l_some @ nat @ (diffprop @ (n_pl @ X629 @ X628) @ (n_pl @ X629 @ X627)))))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])])).
0.38/0.65	thf(c_0_55, negated_conjecture, ~((l_some @ nat @ (diffprop @ (n_pl @ esk1_0 @ esk3_0) @ (n_pl @ esk1_0 @ esk4_0)))), inference(spm,[status(thm)],[c_0_36, c_0_53])).
0.38/0.65	thf(c_0_56, plain, ![X5:$i, X4:$i, X1:$i]:(((l_some @ nat @ (diffprop @ (n_pl @ X5 @ X4) @ (n_pl @ X5 @ X1)))|~((in @ X1 @ nat))|~((in @ X4 @ nat))|~((in @ X5 @ nat))|~((l_some @ nat @ (diffprop @ X4 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_54])).
0.38/0.65	thf(c_0_57, negated_conjecture, ((n_pl @ esk1_0 @ esk3_0)!=(n_pl @ esk2_0 @ esk4_0)), inference(split_conjunct,[status(thm)],[c_0_31])).
0.38/0.65	thf(c_0_58, negated_conjecture, ~((l_some @ nat @ (diffprop @ esk3_0 @ esk4_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_56]), c_0_39]), c_0_41]), c_0_40])])).
0.38/0.65	thf(c_0_59, negated_conjecture, ((n_pl @ esk1_0 @ esk4_0)!=(n_pl @ esk1_0 @ esk3_0)), inference(rw,[status(thm)],[c_0_57, c_0_53])).
0.38/0.65	thf(c_0_60, negated_conjecture, ((esk4_0)=(esk3_0)), inference(sr,[status(thm)],[c_0_44, c_0_58])).
0.38/0.65	thf(c_0_61, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59, c_0_60])]), ['proof']).
0.38/0.65	# SZS output end CNFRefutation
0.38/0.65	# Parsed axioms                        : 395
0.38/0.65	# Removed by relevancy pruning/SinE    : 263
0.38/0.65	# Initial clauses                      : 350
0.38/0.65	# Removed in clause preprocessing      : 176
0.38/0.65	# Initial clauses in saturation        : 174
0.38/0.65	# Processed clauses                    : 388
0.38/0.65	# ...of these trivial                  : 5
0.38/0.65	# ...subsumed                          : 99
0.38/0.65	# ...remaining for further processing  : 284
0.38/0.65	# Other redundant clauses eliminated   : 24
0.38/0.65	# Clauses deleted for lack of memory   : 0
0.38/0.65	# Backward-subsumed                    : 5
0.38/0.65	# Backward-rewritten                   : 9
0.38/0.65	# Generated clauses                    : 788
0.38/0.65	# ...of the previous two non-redundant : 758
0.38/0.65	# ...aggressively subsumed             : 0
0.38/0.65	# Contextual simplify-reflections      : 1
0.38/0.65	# Paramodulations                      : 592
0.38/0.65	# Factorizations                       : 2
0.38/0.65	# NegExts                              : 2
0.38/0.65	# Equation resolutions                 : 30
0.38/0.65	# Disequality decompositions           : 0
0.38/0.65	# Total rewrite steps                  : 138
0.38/0.65	# ...of those cached                   : 121
0.38/0.65	# Propositional unsat checks           : 0
0.38/0.65	#    Propositional check models        : 0
0.38/0.65	#    Propositional check unsatisfiable : 0
0.38/0.65	#    Propositional clauses             : 0
0.38/0.65	#    Propositional clauses after purity: 0
0.38/0.65	#    Propositional unsat core size     : 0
0.38/0.65	#    Propositional preprocessing time  : 0.000
0.38/0.65	#    Propositional encoding time       : 0.000
0.38/0.65	#    Propositional solver time         : 0.000
0.38/0.65	#    Success case prop preproc time    : 0.000
0.38/0.65	#    Success case prop encoding time   : 0.000
0.38/0.65	#    Success case prop solver time     : 0.000
0.38/0.65	# Current number of processed clauses  : 139
0.38/0.65	#    Positive orientable unit clauses  : 20
0.38/0.65	#    Positive unorientable unit clauses: 0
0.38/0.65	#    Negative unit clauses             : 16
0.38/0.65	#    Non-unit-clauses                  : 103
0.38/0.65	# Current number of unprocessed clauses: 654
0.38/0.65	# ...number of literals in the above   : 3312
0.38/0.65	# Current number of archived formulas  : 0
0.38/0.65	# Current number of archived clauses   : 129
0.38/0.65	# Clause-clause subsumption calls (NU) : 5567
0.38/0.65	# Rec. Clause-clause subsumption calls : 1317
0.38/0.65	# Non-unit clause-clause subsumptions  : 93
0.38/0.65	# Unit Clause-clause subsumption calls : 245
0.38/0.65	# Rewrite failures with RHS unbound    : 0
0.38/0.65	# BW rewrite match attempts            : 6
0.38/0.65	# BW rewrite match successes           : 2
0.38/0.65	# Condensation attempts                : 0
0.38/0.65	# Condensation successes               : 0
0.38/0.65	# Termbank termtop insertions          : 69154
0.38/0.65	# Search garbage collected termcells   : 18122
0.38/0.65	
0.38/0.65	# -------------------------------------------------
0.38/0.65	# User time                : 0.087 s
0.38/0.65	# System time              : 0.014 s
0.38/0.65	# Total time               : 0.101 s
0.38/0.65	# Maximum resident set size: 5108 pages
0.38/0.65	
0.38/0.65	# -------------------------------------------------
0.38/0.65	# User time                : 0.099 s
0.38/0.65	# System time              : 0.017 s
0.38/0.65	# Total time               : 0.115 s
0.38/0.65	# Maximum resident set size: 2396 pages
0.38/0.65	% E exiting
0.38/0.65	% E exiting
0.38/0.65	EOF