0.07/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command    : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM
0.12/0.34	% Computer : n022.cluster.edu
0.12/0.34	% Model    : x86_64 x86_64
0.12/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory   : 8042.1875MB
0.12/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit   : 1920
0.12/0.34	% WCLimit    : 240
0.12/0.34	% DateTime   : Wed Jul 30 08:08:34 EDT 2025
0.12/0.34	% CPUTime    : 
0.19/0.48	Running higher-order theorem proving
0.34/0.52	Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.ic4tA21LAZ/E---3.1_6304.p
0.35/0.60	# Version: 3.0.0-ho
0.35/0.60	# Preprocessing class: HSLMSMSSLLLCHSA.
0.35/0.60	# Scheduled 6 strats onto 8 cores with 240 seconds (1920 total)
0.35/0.60	# Starting lpo1_fix with 720s (3) cores
0.35/0.60	# Starting full_lambda_9 with 240s (1) cores
0.35/0.60	# Starting almost_fo_4 with 240s (1) cores
0.35/0.60	# Starting new_ho_9 with 240s (1) cores
0.35/0.60	# Starting pre_casc_4 with 240s (1) cores
0.35/0.60	# Starting ho_unfolding_6 with 240s (1) cores
0.35/0.60	# pre_casc_4 with pid 6434 completed with status 0
0.35/0.60	# Result found by pre_casc_4
0.35/0.60	# Preprocessing class: HSLMSMSSLLLCHSA.
0.35/0.60	# Scheduled 6 strats onto 8 cores with 240 seconds (1920 total)
0.35/0.60	# Starting lpo1_fix with 720s (3) cores
0.35/0.60	# Starting full_lambda_9 with 240s (1) cores
0.35/0.60	# Starting almost_fo_4 with 240s (1) cores
0.35/0.60	# Starting new_ho_9 with 240s (1) cores
0.35/0.60	# Starting pre_casc_4 with 240s (1) cores
0.35/0.60	# SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
0.35/0.60	# Search class: HGHSM-FFMM31-DHSMMSBN
0.35/0.60	# partial match(2): HGHSM-FFMM31-SHSSMSBN
0.35/0.60	# Scheduled 6 strats onto 1 cores with 240 seconds (240 total)
0.35/0.60	# Starting new_ho_10 with 130s (1) cores
0.35/0.60	# new_ho_10 with pid 6442 completed with status 0
0.35/0.60	# Result found by new_ho_10
0.35/0.60	# Preprocessing class: HSLMSMSSLLLCHSA.
0.35/0.60	# Scheduled 6 strats onto 8 cores with 240 seconds (1920 total)
0.35/0.60	# Starting lpo1_fix with 720s (3) cores
0.35/0.60	# Starting full_lambda_9 with 240s (1) cores
0.35/0.60	# Starting almost_fo_4 with 240s (1) cores
0.35/0.60	# Starting new_ho_9 with 240s (1) cores
0.35/0.60	# Starting pre_casc_4 with 240s (1) cores
0.35/0.60	# SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
0.35/0.60	# Search class: HGHSM-FFMM31-DHSMMSBN
0.35/0.60	# partial match(2): HGHSM-FFMM31-SHSSMSBN
0.35/0.60	# Scheduled 6 strats onto 1 cores with 240 seconds (240 total)
0.35/0.60	# Starting new_ho_10 with 130s (1) cores
0.35/0.60	# Preprocessing time       : 0.006 s
0.35/0.60	# Presaturation interreduction done
0.35/0.60	
0.35/0.60	# Proof found!
0.35/0.60	# SZS status Theorem
0.35/0.60	# SZS output start CNFRefutation
0.35/0.60	thf(decl_23, type, is_of: $i > ($i > $o) > $o).
0.35/0.60	thf(decl_24, type, all_of: ($i > $o) > ($i > $o) > $o).
0.35/0.60	thf(decl_26, type, in: $i > $i > $o).
0.35/0.60	thf(decl_62, type, imp: $o > $o > $o).
0.35/0.60	thf(decl_63, type, d_not: $o > $o).
0.35/0.60	thf(decl_68, type, l_or: $o > $o > $o).
0.35/0.60	thf(decl_72, type, non: $i > ($i > $o) > $i > $o).
0.35/0.60	thf(decl_73, type, l_some: $i > ($i > $o) > $o).
0.35/0.60	thf(decl_74, type, or3: $o > $o > $o > $o).
0.35/0.60	thf(decl_78, type, e_is: $i > $i > $i > $o).
0.35/0.60	thf(decl_124, type, nat: $i).
0.35/0.60	thf(decl_125, type, n_is: $i > $i > $o).
0.35/0.60	thf(decl_128, type, n_some: ($i > $o) > $o).
0.35/0.60	thf(decl_143, type, n_pl: $i > $i > $i).
0.35/0.60	thf(decl_148, type, diffprop: $i > $i > $i > $o).
0.35/0.60	thf(decl_149, type, d_29_ii: $i > $i > $o).
0.35/0.60	thf(decl_150, type, iii: $i > $i > $o).
0.35/0.60	thf(decl_153, type, lessis: $i > $i > $o).
0.35/0.60	thf(decl_154, type, esk1_0: $i).
0.35/0.60	thf(decl_155, type, esk2_0: $i).
0.35/0.60	thf(decl_158, type, esk5_2: $i > $i > $i).
0.35/0.60	thf(decl_159, type, esk6_2: $i > $i > $i).
0.35/0.60	thf(def_all_of, axiom, ((all_of)=(^[X3:$i > $o, X2:$i > $o]:(![X4:$i]:(((is_of @ X4 @ X3)=>(X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.ic4tA21LAZ/E---3.1_6304.p', def_all_of)).
0.35/0.60	thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox/tmp/tmp.ic4tA21LAZ/E---3.1_6304.p', def_is_of)).
0.35/0.60	thf(def_d_not, axiom, ((d_not)=(^[X36:$o]:((imp @ ((X36)) @ (~($true)))))), file('/export/starexec/sandbox/tmp/tmp.ic4tA21LAZ/E---3.1_6304.p', def_d_not)).
0.35/0.60	thf(def_imp, axiom, ((imp)=(^[X34:$o, X35:$o]:(((X34)=>(X35))))), file('/export/starexec/sandbox/tmp/tmp.ic4tA21LAZ/E---3.1_6304.p', def_imp)).
0.35/0.60	thf(def_e_is, axiom, ((e_is)=(^[X1:$i, X60:$i, X61:$i]:(((X60)=(X61))))), file('/export/starexec/sandbox/tmp/tmp.ic4tA21LAZ/E---3.1_6304.p', def_e_is)).
0.35/0.60	thf(def_l_some, axiom, ((l_some)=(^[X1:$i, X2:$i > $o]:((d_not @ ((all_of @ (^[X4:$i]:((in @ X4 @ X1))) @ (non @ X1 @ X2))))))), file('/export/starexec/sandbox/tmp/tmp.ic4tA21LAZ/E---3.1_6304.p', def_l_some)).
0.35/0.60	thf(def_diffprop, axiom, ((diffprop)=(^[X1:$i, X183:$i, X4:$i]:((n_is @ X1 @ (n_pl @ X183 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.ic4tA21LAZ/E---3.1_6304.p', def_diffprop)).
0.35/0.60	thf(def_n_is, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox/tmp/tmp.ic4tA21LAZ/E---3.1_6304.p', def_n_is)).
0.35/0.60	thf(def_l_or, axiom, ((l_or)=(^[X42:$o]:(imp @ ((d_not @ ((X42))))))), file('/export/starexec/sandbox/tmp/tmp.ic4tA21LAZ/E---3.1_6304.p', def_l_or)).
0.35/0.60	thf(def_iii, axiom, ((iii)=(^[X1:$i, X185:$i]:((n_some @ (diffprop @ X185 @ X1))))), file('/export/starexec/sandbox/tmp/tmp.ic4tA21LAZ/E---3.1_6304.p', def_iii)).
0.35/0.60	thf(def_n_some, axiom, ((n_some)=(^[Z0/* 3 */:$i > $o]:((((((![X297:$i]:(((((in @ X297 @ nat)))=>(non @ nat @ Z0 @ X297))))))=>(~($true))))))), file('/export/starexec/sandbox/tmp/tmp.ic4tA21LAZ/E---3.1_6304.p', def_n_some)).
0.35/0.60	thf(def_or3, axiom, ((or3)=(^[X48:$o, X49:$o, X50:$o]:((l_or @ ((X48)) @ ((l_or @ ((X49)) @ ((X50)))))))), file('/export/starexec/sandbox/tmp/tmp.ic4tA21LAZ/E---3.1_6304.p', def_or3)).
0.35/0.60	thf(def_lessis, axiom, ((lessis)=(^[X1:$i, X188:$i]:((l_or @ ((iii @ X1 @ X188)) @ ((n_is @ X1 @ X188)))))), file('/export/starexec/sandbox/tmp/tmp.ic4tA21LAZ/E---3.1_6304.p', def_lessis)).
0.35/0.60	thf(def_d_29_ii, axiom, ((d_29_ii)=(^[X1:$i, X184:$i]:((n_some @ (diffprop @ X1 @ X184))))), file('/export/starexec/sandbox/tmp/tmp.ic4tA21LAZ/E---3.1_6304.p', def_d_29_ii)).
0.35/0.60	thf(satz9a, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((all_of @ (^[X205:$i]:((in @ X205 @ nat))) @ (^[X206:$i]:((or3 @ ((n_is @ X1 @ X206)) @ ((n_some @ (diffprop @ X1 @ X206))) @ ((n_some @ (diffprop @ X206 @ X1)))))))))), file('/export/starexec/sandbox/tmp/tmp.ic4tA21LAZ/E---3.1_6304.p', satz9a)).
0.35/0.60	thf(satz10e, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((all_of @ (^[X223:$i]:((in @ X223 @ nat))) @ (^[X224:$i]:(((lessis @ X1 @ X224)<=(d_not @ ((d_29_ii @ X1 @ X224)))))))))), file('/export/starexec/sandbox/tmp/tmp.ic4tA21LAZ/E---3.1_6304.p', satz10e)).
0.35/0.60	thf(c_0_16, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])).
0.35/0.60	thf(c_0_17, plain, ((is_of)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])).
0.35/0.60	thf(c_0_18, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_not])).
0.35/0.60	thf(c_0_19, plain, ((imp)=(^[Z0/* 19 */:$o, Z1:$o]:(((Z0)=>(Z1))))), inference(fof_simplification,[status(thm)],[def_imp])).
0.35/0.60	thf(c_0_20, plain, ((e_is)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:(((Z1)=(Z2))))), inference(fof_simplification,[status(thm)],[def_e_is])).
0.35/0.60	thf(c_0_21, plain, ((l_some)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((((((![X296:$i]:(((((in @ X296 @ Z0)))=>(non @ Z0 @ Z1 @ X296))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_l_some])).
0.35/0.60	thf(c_0_22, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_16, c_0_17])).
0.35/0.60	thf(c_0_23, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_18, c_0_19])).
0.35/0.60	thf(c_0_24, plain, ((diffprop)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[def_diffprop])).
0.35/0.60	thf(c_0_25, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_n_is, c_0_20])).
0.35/0.60	thf(c_0_26, plain, ((l_some)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((((((![X296:$i]:(((((in @ X296 @ Z0)))=>(non @ Z0 @ Z1 @ X296))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_21, c_0_22]), c_0_23])).
0.35/0.60	thf(c_0_27, plain, ((l_or)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(fof_simplification,[status(thm)],[def_l_or])).
0.35/0.60	thf(c_0_28, plain, ((iii)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X299:$i]:(((((in @ X299 @ nat)))=>(non @ nat @ (^[Z2/* 3 */:$i]:((((Z1)=(n_pl @ Z0 @ Z2))))) @ X299))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_iii])).
0.35/0.60	thf(c_0_29, plain, ((diffprop)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2)))))), inference(apply_def,[status(thm)],[c_0_24, c_0_25])).
0.35/0.60	thf(c_0_30, axiom, ((n_some)=(^[Z0/* 3 */:$i > $o]:((((((![X297:$i]:(((((in @ X297 @ nat)))=>(non @ nat @ Z0 @ X297))))))=>(~($true))))))), inference(apply_def,[status(thm)],[def_n_some, c_0_26])).
0.35/0.60	thf(c_0_31, plain, ((or3)=(^[Z0/* 19 */:$o, Z1:$o, Z2:$o]:((((((((((Z0))))=>(~($true)))))=>((((((((((Z1))))=>(~($true)))))=>((Z2)))))))))), inference(fof_simplification,[status(thm)],[def_or3])).
0.35/0.60	thf(c_0_32, plain, ((l_or)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_27, c_0_19]), c_0_23])).
0.35/0.60	thf(c_0_33, plain, ((lessis)=(^[Z0/* 19 */:$i, Z1:$i]:((((((((((((((![X300:$i]:(((((in @ X300 @ nat)))=>(non @ nat @ (^[Z2/* 3 */:$i]:((((Z1)=(n_pl @ Z0 @ Z2))))) @ X300))))))=>(~($true)))))))=>(~($true)))))=>((((Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[def_lessis])).
0.35/0.60	thf(c_0_34, plain, ((iii)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X299:$i]:(((((in @ X299 @ nat)))=>(non @ nat @ (^[Z2/* 3 */:$i]:((((Z1)=(n_pl @ Z0 @ Z2))))) @ X299))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_28, c_0_29]), c_0_30])).
0.35/0.60	thf(c_0_35, plain, ((d_29_ii)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X298:$i]:(((((in @ X298 @ nat)))=>(non @ nat @ (^[Z2/* 3 */:$i]:((((Z0)=(n_pl @ Z1 @ Z2))))) @ X298))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_29_ii])).
0.35/0.60	thf(c_0_36, plain, ((or3)=(^[Z0/* 19 */:$o, Z1:$o, Z2:$o]:((((((((((Z0))))=>(~($true)))))=>((((((((((Z1))))=>(~($true)))))=>((Z2)))))))))), inference(apply_def,[status(thm)],[c_0_31, c_0_32])).
0.35/0.60	thf(c_0_37, plain, ((lessis)=(^[Z0/* 19 */:$i, Z1:$i]:((((((((((((((![X300:$i]:(((((in @ X300 @ nat)))=>(non @ nat @ (^[Z2/* 3 */:$i]:((((Z1)=(n_pl @ Z0 @ Z2))))) @ X300))))))=>(~($true)))))))=>(~($true)))))=>((((Z0)=(Z1))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_33, c_0_25]), c_0_32]), c_0_34])).
0.35/0.60	thf(c_0_38, plain, ((d_29_ii)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X298:$i]:(((((in @ X298 @ nat)))=>(non @ nat @ (^[Z2/* 3 */:$i]:((((Z0)=(n_pl @ Z1 @ Z2))))) @ X298))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_35, c_0_29]), c_0_30])).
0.35/0.60	thf(c_0_39, plain, ![X315:$i]:(((in @ X315 @ nat)=>![X314:$i]:(((in @ X314 @ nat)=>((((X315)=(X314))=>~($true))=>(((![X312:$i]:(((in @ X312 @ nat)=>(non @ nat @ (^[Z0/* 3 */:$i]:(((X315)=(n_pl @ X314 @ Z0)))) @ X312)))=>~($true))=>~($true))=>(![X313:$i]:(((in @ X313 @ nat)=>(non @ nat @ (^[Z0/* 3 */:$i]:(((X314)=(n_pl @ X315 @ Z0)))) @ X313)))=>~($true)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz9a]), c_0_22]), c_0_36]), c_0_25]), c_0_29]), c_0_30])).
0.35/0.60	thf(c_0_40, negated_conjecture, ~(![X304:$i]:(((in @ X304 @ nat)=>![X303:$i]:(((in @ X303 @ nat)=>(((![X302:$i]:(((in @ X302 @ nat)=>(non @ nat @ (^[Z0/* 3 */:$i]:(((X304)=(n_pl @ X303 @ Z0)))) @ X302)))=>~($true))=>~($true))=>(((![X301:$i]:(((in @ X301 @ nat)=>(non @ nat @ (^[Z0/* 3 */:$i]:(((X303)=(n_pl @ X304 @ Z0)))) @ X301)))=>~($true))=>~($true))=>((X304)=(X303))))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[satz10e])]), c_0_22]), c_0_37]), c_0_38]), c_0_23])])).
0.35/0.60	thf(c_0_41, plain, ![X408:$i, X409:$i]:(((((((in @ (esk6_2 @ X408 @ X409) @ nat)|~($true)|((in @ (esk5_2 @ X408 @ X409) @ nat)|~($true))|((X408)=(X409))|~(in @ X409 @ nat)|~(in @ X408 @ nat))&(~(non @ nat @ (^[Z0/* 3 */:$i]:(((X409)=(n_pl @ X408 @ Z0)))) @ (esk6_2 @ X408 @ X409))|~($true)|((in @ (esk5_2 @ X408 @ X409) @ nat)|~($true))|((X408)=(X409))|~(in @ X409 @ nat)|~(in @ X408 @ nat)))&(((in @ (esk6_2 @ X408 @ X409) @ nat)|~($true)|(~(non @ nat @ (^[Z0/* 3 */:$i]:(((X408)=(n_pl @ X409 @ Z0)))) @ (esk5_2 @ X408 @ X409))|~($true))|((X408)=(X409))|~(in @ X409 @ nat)|~(in @ X408 @ nat))&(~(non @ nat @ (^[Z0/* 3 */:$i]:(((X409)=(n_pl @ X408 @ Z0)))) @ (esk6_2 @ X408 @ X409))|~($true)|(~(non @ nat @ (^[Z0/* 3 */:$i]:(((X408)=(n_pl @ X409 @ Z0)))) @ (esk5_2 @ X408 @ X409))|~($true))|((X408)=(X409))|~(in @ X409 @ nat)|~(in @ X408 @ nat))))&(((in @ (esk6_2 @ X408 @ X409) @ nat)|~($true)|($true)|((X408)=(X409))|~(in @ X409 @ nat)|~(in @ X408 @ nat))&(~(non @ nat @ (^[Z0/* 3 */:$i]:(((X409)=(n_pl @ X408 @ Z0)))) @ (esk6_2 @ X408 @ X409))|~($true)|($true)|((X408)=(X409))|~(in @ X409 @ nat)|~(in @ X408 @ nat))))&(((((in @ (esk6_2 @ X408 @ X409) @ nat)|~($true)|((in @ (esk5_2 @ X408 @ X409) @ nat)|~($true))|($true)|~(in @ X409 @ nat)|~(in @ X408 @ nat))&(~(non @ nat @ (^[Z0/* 3 */:$i]:(((X409)=(n_pl @ X408 @ Z0)))) @ (esk6_2 @ X408 @ X409))|~($true)|((in @ (esk5_2 @ X408 @ X409) @ nat)|~($true))|($true)|~(in @ X409 @ nat)|~(in @ X408 @ nat)))&(((in @ (esk6_2 @ X408 @ X409) @ nat)|~($true)|(~(non @ nat @ (^[Z0/* 3 */:$i]:(((X408)=(n_pl @ X409 @ Z0)))) @ (esk5_2 @ X408 @ X409))|~($true))|($true)|~(in @ X409 @ nat)|~(in @ X408 @ nat))&(~(non @ nat @ (^[Z0/* 3 */:$i]:(((X409)=(n_pl @ X408 @ Z0)))) @ (esk6_2 @ X408 @ X409))|~($true)|(~(non @ nat @ (^[Z0/* 3 */:$i]:(((X408)=(n_pl @ X409 @ Z0)))) @ (esk5_2 @ X408 @ X409))|~($true))|($true)|~(in @ X409 @ nat)|~(in @ X408 @ nat))))&(((in @ (esk6_2 @ X408 @ X409) @ nat)|~($true)|($true)|($true)|~(in @ X409 @ nat)|~(in @ X408 @ nat))&(~(non @ nat @ (^[Z0/* 3 */:$i]:(((X409)=(n_pl @ X408 @ Z0)))) @ (esk6_2 @ X408 @ X409))|~($true)|($true)|($true)|~(in @ X409 @ nat)|~(in @ X408 @ nat)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])])])])).
0.35/0.60	thf(c_0_42, negated_conjecture, ![X393:$i, X394:$i]:(((in @ esk1_0 @ nat)&((in @ esk2_0 @ nat)&(((~(in @ X393 @ nat)|(non @ nat @ (^[Z0/* 3 */:$i]:(((esk1_0)=(n_pl @ esk2_0 @ Z0)))) @ X393)|~($true))&(($true)|~($true)))&(((~(in @ X394 @ nat)|(non @ nat @ (^[Z0/* 3 */:$i]:(((esk2_0)=(n_pl @ esk1_0 @ Z0)))) @ X394)|~($true))&(($true)|~($true)))&((esk1_0)!=(esk2_0))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])])])])).
0.35/0.60	thf(c_0_43, plain, ![X1:$i, X4:$i]:(((in @ (esk5_2 @ X4 @ X1) @ nat)|((X4)=(X1))|~((non @ nat @ (^[Z0/* 3 */:$i]:(((X1)=(n_pl @ X4 @ Z0)))) @ (esk6_2 @ X4 @ X1)))|~(($true))|~(($true))|~((in @ X1 @ nat))|~((in @ X4 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_41])).
0.35/0.60	thf(c_0_44, negated_conjecture, ![X1:$i]:(((non @ nat @ (^[Z0/* 3 */:$i]:(((esk1_0)=(n_pl @ esk2_0 @ Z0)))) @ X1)|~((in @ X1 @ nat))|~(($true)))), inference(split_conjunct,[status(thm)],[c_0_42])).
0.35/0.60	thf(c_0_45, plain, ![X4:$i, X1:$i]:((((X1)=(X4))|(in @ (esk5_2 @ X4 @ X1) @ nat)|~((in @ X4 @ nat))|~((in @ X1 @ nat))|~((non @ nat @ (^[Z0/* 3 */:$i]:(((X1)=(n_pl @ X4 @ Z0)))) @ (esk6_2 @ X4 @ X1))))), inference(cn,[status(thm)],[c_0_43])).
0.35/0.60	thf(c_0_46, negated_conjecture, ![X1:$i]:(((non @ nat @ (^[Z0/* 3 */:$i]:(((esk1_0)=(n_pl @ esk2_0 @ Z0)))) @ X1)|~((in @ X1 @ nat)))), inference(cn,[status(thm)],[c_0_44])).
0.35/0.60	thf(c_0_47, negated_conjecture, (in @ esk2_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_42])).
0.35/0.60	thf(c_0_48, negated_conjecture, (in @ esk1_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_42])).
0.35/0.60	thf(c_0_49, negated_conjecture, ((esk1_0)!=(esk2_0)), inference(split_conjunct,[status(thm)],[c_0_42])).
0.35/0.60	thf(c_0_50, plain, ![X4:$i, X1:$i]:(((in @ (esk6_2 @ X1 @ X4) @ nat)|(in @ (esk5_2 @ X1 @ X4) @ nat)|((X1)=(X4))|~(($true))|~(($true))|~((in @ X4 @ nat))|~((in @ X1 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_41])).
0.35/0.60	thf(c_0_51, plain, ![X1:$i, X4:$i]:((((X4)=(X1))|~((non @ nat @ (^[Z0/* 3 */:$i]:(((X1)=(n_pl @ X4 @ Z0)))) @ (esk6_2 @ X4 @ X1)))|~(($true))|~((non @ nat @ (^[Z0/* 3 */:$i]:(((X4)=(n_pl @ X1 @ Z0)))) @ (esk5_2 @ X4 @ X1)))|~(($true))|~((in @ X1 @ nat))|~((in @ X4 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_41])).
0.35/0.60	thf(c_0_52, negated_conjecture, ![X1:$i]:(((non @ nat @ (^[Z0/* 3 */:$i]:(((esk2_0)=(n_pl @ esk1_0 @ Z0)))) @ X1)|~((in @ X1 @ nat))|~(($true)))), inference(split_conjunct,[status(thm)],[c_0_42])).
0.35/0.60	thf(c_0_53, negated_conjecture, ((in @ (esk5_2 @ esk2_0 @ esk1_0) @ nat)|~((in @ (esk6_2 @ esk2_0 @ esk1_0) @ nat))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45, c_0_46]), c_0_47]), c_0_48])]), c_0_49])).
0.35/0.60	thf(c_0_54, plain, ![X4:$i, X1:$i]:((((X1)=(X4))|(in @ (esk5_2 @ X1 @ X4) @ nat)|(in @ (esk6_2 @ X1 @ X4) @ nat)|~((in @ X4 @ nat))|~((in @ X1 @ nat)))), inference(cn,[status(thm)],[c_0_50])).
0.35/0.60	thf(c_0_55, plain, ![X4:$i, X1:$i]:(((in @ (esk6_2 @ X1 @ X4) @ nat)|((X1)=(X4))|~(($true))|~((non @ nat @ (^[Z0/* 3 */:$i]:(((X1)=(n_pl @ X4 @ Z0)))) @ (esk5_2 @ X1 @ X4)))|~(($true))|~((in @ X4 @ nat))|~((in @ X1 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_41])).
0.35/0.60	thf(c_0_56, plain, ![X4:$i, X1:$i]:((((X1)=(X4))|~((in @ X4 @ nat))|~((in @ X1 @ nat))|~((non @ nat @ (^[Z0/* 3 */:$i]:(((X4)=(n_pl @ X1 @ Z0)))) @ (esk5_2 @ X4 @ X1)))|~((non @ nat @ (^[Z0/* 3 */:$i]:(((X1)=(n_pl @ X4 @ Z0)))) @ (esk6_2 @ X4 @ X1))))), inference(cn,[status(thm)],[c_0_51])).
0.35/0.60	thf(c_0_57, negated_conjecture, ![X1:$i]:(((non @ nat @ (^[Z0/* 3 */:$i]:(((esk2_0)=(n_pl @ esk1_0 @ Z0)))) @ X1)|~((in @ X1 @ nat)))), inference(cn,[status(thm)],[c_0_52])).
0.35/0.60	thf(c_0_58, negated_conjecture, (in @ (esk5_2 @ esk2_0 @ esk1_0) @ nat), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_54]), c_0_48]), c_0_47])]), c_0_49])).
0.35/0.60	thf(c_0_59, plain, ![X1:$i, X4:$i]:((((X1)=(X4))|(in @ (esk6_2 @ X1 @ X4) @ nat)|~((in @ X4 @ nat))|~((in @ X1 @ nat))|~((non @ nat @ (^[Z0/* 3 */:$i]:(((X1)=(n_pl @ X4 @ Z0)))) @ (esk5_2 @ X1 @ X4))))), inference(cn,[status(thm)],[c_0_55])).
0.35/0.60	thf(c_0_60, negated_conjecture, ~((non @ nat @ (^[Z0/* 3 */:$i]:(((esk1_0)=(n_pl @ esk2_0 @ Z0)))) @ (esk6_2 @ esk2_0 @ esk1_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_47]), c_0_48]), c_0_58])]), c_0_49])).
0.35/0.60	thf(c_0_61, negated_conjecture, (in @ (esk6_2 @ esk2_0 @ esk1_0) @ nat), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_57]), c_0_48]), c_0_47])]), c_0_49]), c_0_58])])).
0.35/0.60	thf(c_0_62, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_46]), c_0_61])]), ['proof']).
0.35/0.60	# SZS output end CNFRefutation
0.35/0.60	# Parsed axioms                        : 353
0.35/0.60	# Removed by relevancy pruning/SinE    : 277
0.35/0.60	# Initial clauses                      : 141
0.35/0.60	# Removed in clause preprocessing      : 33
0.35/0.60	# Initial clauses in saturation        : 108
0.35/0.60	# Processed clauses                    : 272
0.35/0.60	# ...of these trivial                  : 5
0.35/0.60	# ...subsumed                          : 26
0.35/0.60	# ...remaining for further processing  : 241
0.35/0.60	# Other redundant clauses eliminated   : 12
0.35/0.60	# Clauses deleted for lack of memory   : 0
0.35/0.60	# Backward-subsumed                    : 0
0.35/0.60	# Backward-rewritten                   : 3
0.35/0.60	# Generated clauses                    : 425
0.35/0.60	# ...of the previous two non-redundant : 394
0.35/0.60	# ...aggressively subsumed             : 0
0.35/0.60	# Contextual simplify-reflections      : 0
0.35/0.60	# Paramodulations                      : 407
0.35/0.60	# Factorizations                       : 2
0.35/0.60	# NegExts                              : 0
0.35/0.60	# Equation resolutions                 : 14
0.35/0.60	# Disequality decompositions           : 0
0.35/0.60	# Total rewrite steps                  : 104
0.35/0.60	# ...of those cached                   : 81
0.35/0.60	# Propositional unsat checks           : 0
0.35/0.60	#    Propositional check models        : 0
0.35/0.60	#    Propositional check unsatisfiable : 0
0.35/0.60	#    Propositional clauses             : 0
0.35/0.60	#    Propositional clauses after purity: 0
0.35/0.60	#    Propositional unsat core size     : 0
0.35/0.60	#    Propositional preprocessing time  : 0.000
0.35/0.60	#    Propositional encoding time       : 0.000
0.35/0.60	#    Propositional solver time         : 0.000
0.35/0.60	#    Success case prop preproc time    : 0.000
0.35/0.60	#    Success case prop encoding time   : 0.000
0.35/0.60	#    Success case prop solver time     : 0.000
0.35/0.60	# Current number of processed clauses  : 140
0.35/0.60	#    Positive orientable unit clauses  : 29
0.35/0.60	#    Positive unorientable unit clauses: 0
0.35/0.60	#    Negative unit clauses             : 23
0.35/0.60	#    Non-unit-clauses                  : 88
0.35/0.60	# Current number of unprocessed clauses: 324
0.35/0.60	# ...number of literals in the above   : 1516
0.35/0.60	# Current number of archived formulas  : 0
0.35/0.60	# Current number of archived clauses   : 99
0.35/0.60	# Clause-clause subsumption calls (NU) : 2908
0.35/0.60	# Rec. Clause-clause subsumption calls : 528
0.35/0.60	# Non-unit clause-clause subsumptions  : 17
0.35/0.60	# Unit Clause-clause subsumption calls : 235
0.35/0.60	# Rewrite failures with RHS unbound    : 0
0.35/0.60	# BW rewrite match attempts            : 9
0.35/0.60	# BW rewrite match successes           : 3
0.35/0.60	# Condensation attempts                : 272
0.35/0.60	# Condensation successes               : 0
0.35/0.60	# Termbank termtop insertions          : 37181
0.35/0.60	# Search garbage collected termcells   : 7651
0.35/0.60	
0.35/0.60	# -------------------------------------------------
0.35/0.60	# User time                : 0.052 s
0.35/0.60	# System time              : 0.009 s
0.35/0.60	# Total time               : 0.061 s
0.35/0.60	# Maximum resident set size: 3336 pages
0.35/0.60	
0.35/0.60	# -------------------------------------------------
0.35/0.60	# User time                : 0.062 s
0.35/0.60	# System time              : 0.011 s
0.35/0.60	# Total time               : 0.073 s
0.35/0.60	# Maximum resident set size: 2248 pages
0.35/0.60	% E exiting
0.35/0.61	% E exiting
0.35/0.61	EOF