0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.12	% Command    : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM
0.12/0.33	% Computer : n014.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 08:01:04 EDT 2025
0.12/0.34	% CPUTime    : 
0.20/0.48	Running higher-order theorem proving
0.20/0.51	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.Tip6wS6MIK/E---3.1_27756.p
0.20/0.61	# Version: 3.0.0-ho
0.20/0.61	# Preprocessing class: HSLMSMSSLLLCHSA.
0.20/0.61	# Scheduled 6 strats onto 8 cores with 240 seconds (1920 total)
0.20/0.61	# Starting lpo1_fix with 720s (3) cores
0.20/0.61	# Starting full_lambda_9 with 240s (1) cores
0.20/0.61	# Starting almost_fo_4 with 240s (1) cores
0.20/0.61	# Starting new_ho_9 with 240s (1) cores
0.20/0.61	# Starting pre_casc_4 with 240s (1) cores
0.20/0.61	# Starting ho_unfolding_6 with 240s (1) cores
0.20/0.61	# pre_casc_4 with pid 27849 completed with status 0
0.20/0.61	# Result found by pre_casc_4
0.20/0.61	# Preprocessing class: HSLMSMSSLLLCHSA.
0.20/0.61	# Scheduled 6 strats onto 8 cores with 240 seconds (1920 total)
0.20/0.61	# Starting lpo1_fix with 720s (3) cores
0.20/0.61	# Starting full_lambda_9 with 240s (1) cores
0.20/0.61	# Starting almost_fo_4 with 240s (1) cores
0.20/0.61	# Starting new_ho_9 with 240s (1) cores
0.20/0.61	# Starting pre_casc_4 with 240s (1) cores
0.20/0.61	# SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
0.20/0.61	# Search class: HGHSM-FSLM31-DHSMMSBN
0.20/0.61	# partial match(1): HGHSM-FSLM31-MHSMMSBN
0.20/0.61	# Scheduled 6 strats onto 1 cores with 240 seconds (240 total)
0.20/0.61	# Starting new_ho_10_cnf2 with 126s (1) cores
0.20/0.61	# new_ho_10_cnf2 with pid 27851 completed with status 0
0.20/0.61	# Result found by new_ho_10_cnf2
0.20/0.61	# Preprocessing class: HSLMSMSSLLLCHSA.
0.20/0.61	# Scheduled 6 strats onto 8 cores with 240 seconds (1920 total)
0.20/0.61	# Starting lpo1_fix with 720s (3) cores
0.20/0.61	# Starting full_lambda_9 with 240s (1) cores
0.20/0.61	# Starting almost_fo_4 with 240s (1) cores
0.20/0.61	# Starting new_ho_9 with 240s (1) cores
0.20/0.61	# Starting pre_casc_4 with 240s (1) cores
0.20/0.61	# SinE strategy is GSinE(CountFormulas,,true,1.5,0,3,20000,1.0,true)
0.20/0.61	# Search class: HGHSM-FSLM31-DHSMMSBN
0.20/0.61	# partial match(1): HGHSM-FSLM31-MHSMMSBN
0.20/0.61	# Scheduled 6 strats onto 1 cores with 240 seconds (240 total)
0.20/0.61	# Starting new_ho_10_cnf2 with 126s (1) cores
0.20/0.61	# Preprocessing time       : 0.006 s
0.20/0.61	# Presaturation interreduction done
0.20/0.61	
0.20/0.61	# Proof found!
0.20/0.61	# SZS status Theorem
0.20/0.61	# SZS output start CNFRefutation
0.20/0.61	thf(decl_23, type, is_of: $i > ($i > $o) > $o).
0.20/0.61	thf(decl_24, type, all_of: ($i > $o) > ($i > $o) > $o).
0.20/0.61	thf(decl_26, type, in: $i > $i > $o).
0.20/0.61	thf(decl_62, type, imp: $o > $o > $o).
0.20/0.61	thf(decl_63, type, d_not: $o > $o).
0.20/0.61	thf(decl_68, type, l_or: $o > $o > $o).
0.20/0.61	thf(decl_72, type, non: $i > ($i > $o) > $i > $o).
0.20/0.61	thf(decl_73, type, l_some: $i > ($i > $o) > $o).
0.20/0.61	thf(decl_78, type, e_is: $i > $i > $i > $o).
0.20/0.61	thf(decl_124, type, nat: $i).
0.20/0.61	thf(decl_125, type, n_is: $i > $i > $o).
0.20/0.61	thf(decl_128, type, n_some: ($i > $o) > $o).
0.20/0.61	thf(decl_143, type, n_pl: $i > $i > $i).
0.20/0.61	thf(decl_148, type, diffprop: $i > $i > $i > $o).
0.20/0.61	thf(decl_149, type, d_29_ii: $i > $i > $o).
0.20/0.61	thf(decl_150, type, iii: $i > $i > $o).
0.20/0.61	thf(decl_152, type, moreis: $i > $i > $o).
0.20/0.61	thf(decl_154, type, esk1_0: $i).
0.20/0.61	thf(decl_155, type, esk2_0: $i).
0.20/0.61	thf(decl_156, type, esk3_2: $i > $i > $i).
0.20/0.61	thf(decl_157, type, esk4_2: $i > $i > $i).
0.20/0.61	thf(def_all_of, axiom, ((all_of)=(^[X3:$i > $o, X2:$i > $o]:(![X4:$i]:(((is_of @ X4 @ X3)=>(X2 @ X4)))))), file('/export/starexec/sandbox/tmp/tmp.Tip6wS6MIK/E---3.1_27756.p', def_all_of)).
0.20/0.61	thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox/tmp/tmp.Tip6wS6MIK/E---3.1_27756.p', def_is_of)).
0.20/0.61	thf(def_d_not, axiom, ((d_not)=(^[X36:$o]:((imp @ ((X36)) @ (~($true)))))), file('/export/starexec/sandbox/tmp/tmp.Tip6wS6MIK/E---3.1_27756.p', def_d_not)).
0.20/0.61	thf(def_imp, axiom, ((imp)=(^[X34:$o, X35:$o]:(((X34)=>(X35))))), file('/export/starexec/sandbox/tmp/tmp.Tip6wS6MIK/E---3.1_27756.p', def_imp)).
0.20/0.61	thf(def_e_is, axiom, ((e_is)=(^[X1:$i, X60:$i, X61:$i]:(((X60)=(X61))))), file('/export/starexec/sandbox/tmp/tmp.Tip6wS6MIK/E---3.1_27756.p', def_e_is)).
0.20/0.61	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.Tip6wS6MIK/E---3.1_27756.p', def_l_some)).
0.20/0.61	thf(def_diffprop, axiom, ((diffprop)=(^[X1:$i, X183:$i, X4:$i]:((n_is @ X1 @ (n_pl @ X183 @ X4))))), file('/export/starexec/sandbox/tmp/tmp.Tip6wS6MIK/E---3.1_27756.p', def_diffprop)).
0.20/0.61	thf(def_n_is, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox/tmp/tmp.Tip6wS6MIK/E---3.1_27756.p', def_n_is)).
0.20/0.61	thf(def_d_29_ii, axiom, ((d_29_ii)=(^[X1:$i, X184:$i]:((n_some @ (diffprop @ X1 @ X184))))), file('/export/starexec/sandbox/tmp/tmp.Tip6wS6MIK/E---3.1_27756.p', def_d_29_ii)).
0.20/0.61	thf(def_n_some, axiom, ((n_some)=(^[Z0/* 3 */:$i > $o]:((((((![X305:$i]:(((((in @ X305 @ nat)))=>(non @ nat @ Z0 @ X305))))))=>(~($true))))))), file('/export/starexec/sandbox/tmp/tmp.Tip6wS6MIK/E---3.1_27756.p', def_n_some)).
0.20/0.61	thf(def_l_or, axiom, ((l_or)=(^[X42:$o]:(imp @ ((d_not @ ((X42))))))), file('/export/starexec/sandbox/tmp/tmp.Tip6wS6MIK/E---3.1_27756.p', def_l_or)).
0.20/0.61	thf(def_iii, axiom, ((iii)=(^[X1:$i, X185:$i]:((n_some @ (diffprop @ X185 @ X1))))), file('/export/starexec/sandbox/tmp/tmp.Tip6wS6MIK/E---3.1_27756.p', def_iii)).
0.20/0.61	thf(def_moreis, axiom, ((moreis)=(^[X1:$i, X187:$i]:((l_or @ ((d_29_ii @ X1 @ X187)) @ ((n_is @ X1 @ X187)))))), file('/export/starexec/sandbox/tmp/tmp.Tip6wS6MIK/E---3.1_27756.p', def_moreis)).
0.20/0.61	thf(satz10f, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((all_of @ (^[X236:$i]:((in @ X236 @ nat))) @ (^[X237:$i]:(((moreis @ X1 @ X237)<=(d_not @ ((iii @ X1 @ X237)))))))))), file('/export/starexec/sandbox/tmp/tmp.Tip6wS6MIK/E---3.1_27756.p', satz10f)).
0.20/0.61	thf(satz10j, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((all_of @ (^[X232:$i]:((in @ X232 @ nat))) @ (^[X233:$i]:(((iii @ X1 @ X233)<=(d_not @ ((moreis @ X1 @ X233)))))))))), file('/export/starexec/sandbox/tmp/tmp.Tip6wS6MIK/E---3.1_27756.p', satz10j)).
0.20/0.61	thf(c_0_15, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])).
0.20/0.61	thf(c_0_16, plain, ((is_of)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])).
0.20/0.61	thf(c_0_17, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_not])).
0.20/0.61	thf(c_0_18, plain, ((imp)=(^[Z0/* 19 */:$o, Z1:$o]:(((Z0)=>(Z1))))), inference(fof_simplification,[status(thm)],[def_imp])).
0.20/0.61	thf(c_0_19, plain, ((e_is)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:(((Z1)=(Z2))))), inference(fof_simplification,[status(thm)],[def_e_is])).
0.20/0.61	thf(c_0_20, plain, ((l_some)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((((((![X304:$i]:(((((in @ X304 @ Z0)))=>(non @ Z0 @ Z1 @ X304))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_l_some])).
0.20/0.61	thf(c_0_21, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(apply_def,[status(thm)],[c_0_15, c_0_16])).
0.20/0.61	thf(c_0_22, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_17, c_0_18])).
0.20/0.61	thf(c_0_23, plain, ((diffprop)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[def_diffprop])).
0.20/0.61	thf(c_0_24, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_n_is, c_0_19])).
0.20/0.61	thf(c_0_25, plain, ((l_some)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((((((![X304:$i]:(((((in @ X304 @ Z0)))=>(non @ Z0 @ Z1 @ X304))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_20, c_0_21]), c_0_22])).
0.20/0.61	thf(c_0_26, plain, ((d_29_ii)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X306:$i]:(((((in @ X306 @ nat)))=>(non @ nat @ (^[Z2/* 3 */:$i]:((((Z0)=(n_pl @ Z1 @ Z2))))) @ X306))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_29_ii])).
0.20/0.61	thf(c_0_27, plain, ((diffprop)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2)))))), inference(apply_def,[status(thm)],[c_0_23, c_0_24])).
0.20/0.61	thf(c_0_28, axiom, ((n_some)=(^[Z0/* 3 */:$i > $o]:((((((![X305:$i]:(((((in @ X305 @ nat)))=>(non @ nat @ Z0 @ X305))))))=>(~($true))))))), inference(apply_def,[status(thm)],[def_n_some, c_0_25])).
0.20/0.61	thf(c_0_29, plain, ((l_or)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(fof_simplification,[status(thm)],[def_l_or])).
0.20/0.61	thf(c_0_30, plain, ((iii)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X307:$i]:(((((in @ X307 @ nat)))=>(non @ nat @ (^[Z2/* 3 */:$i]:((((Z1)=(n_pl @ Z0 @ Z2))))) @ X307))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_iii])).
0.20/0.61	thf(c_0_31, plain, ((moreis)=(^[Z0/* 19 */:$i, Z1:$i]:((((((((((((((![X308:$i]:(((((in @ X308 @ nat)))=>(non @ nat @ (^[Z2/* 3 */:$i]:((((Z0)=(n_pl @ Z1 @ Z2))))) @ X308))))))=>(~($true)))))))=>(~($true)))))=>((((Z0)=(Z1))))))))), inference(fof_simplification,[status(thm)],[def_moreis])).
0.20/0.61	thf(c_0_32, plain, ((d_29_ii)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X306:$i]:(((((in @ X306 @ nat)))=>(non @ nat @ (^[Z2/* 3 */:$i]:((((Z0)=(n_pl @ Z1 @ Z2))))) @ X306))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_26, c_0_27]), c_0_28])).
0.20/0.61	thf(c_0_33, plain, ((l_or)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((Z0)))=>(~($true)))))=>(Z1))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_29, c_0_18]), c_0_22])).
0.20/0.61	thf(c_0_34, plain, ((iii)=(^[Z0/* 19 */:$i, Z1:$i]:((((((![X307:$i]:(((((in @ X307 @ nat)))=>(non @ nat @ (^[Z2/* 3 */:$i]:((((Z1)=(n_pl @ Z0 @ Z2))))) @ X307))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_30, c_0_27]), c_0_28])).
0.20/0.61	thf(c_0_35, plain, ((moreis)=(^[Z0/* 19 */:$i, Z1:$i]:((((((((((((((![X308:$i]:(((((in @ X308 @ nat)))=>(non @ nat @ (^[Z2/* 3 */:$i]:((((Z0)=(n_pl @ Z1 @ Z2))))) @ X308))))))=>(~($true)))))))=>(~($true)))))=>((((Z0)=(Z1))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_31, c_0_32]), c_0_24]), c_0_33])).
0.20/0.61	thf(c_0_36, plain, ![X325:$i]:(((in @ X325 @ nat)=>![X324:$i]:(((in @ X324 @ nat)=>(((![X323:$i]:(((in @ X323 @ nat)=>(non @ nat @ (^[Z0/* 3 */:$i]:(((X324)=(n_pl @ X325 @ Z0)))) @ X323)))=>~($true))=>~($true))=>(((![X322:$i]:(((in @ X322 @ nat)=>(non @ nat @ (^[Z0/* 3 */:$i]:(((X325)=(n_pl @ X324 @ Z0)))) @ X322)))=>~($true))=>~($true))=>((X325)=(X324)))))))), 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)],[satz10f]), c_0_21]), c_0_34]), c_0_35]), c_0_22])])).
0.20/0.61	thf(c_0_37, negated_conjecture, ~(![X313:$i]:(((in @ X313 @ nat)=>![X312:$i]:(((in @ X312 @ nat)=>(((((![X311:$i]:(((in @ X311 @ nat)=>(non @ nat @ (^[Z0/* 3 */:$i]:(((X313)=(n_pl @ X312 @ Z0)))) @ X311)))=>~($true))=>~($true))=>((X313)=(X312)))=>~($true))=>(![X310:$i]:(((in @ X310 @ nat)=>(non @ nat @ (^[Z0/* 3 */:$i]:(((X312)=(n_pl @ X313 @ Z0)))) @ X310)))=>~($true)))))))), 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)],[satz10j])]), c_0_21]), c_0_34]), c_0_35]), c_0_22])])).
0.20/0.61	thf(c_0_38, plain, ![X440:$i, X441:$i]:(((((((in @ (esk4_2 @ X440 @ X441) @ nat)|~($true)|((X440)=(X441))|((in @ (esk3_2 @ X440 @ X441) @ nat)|~($true))|~(in @ X441 @ nat)|~(in @ X440 @ nat))&(~(non @ nat @ (^[Z0/* 3 */:$i]:(((X440)=(n_pl @ X441 @ Z0)))) @ (esk4_2 @ X440 @ X441))|~($true)|((X440)=(X441))|((in @ (esk3_2 @ X440 @ X441) @ nat)|~($true))|~(in @ X441 @ nat)|~(in @ X440 @ nat)))&(($true)|((X440)=(X441))|((in @ (esk3_2 @ X440 @ X441) @ nat)|~($true))|~(in @ X441 @ nat)|~(in @ X440 @ nat)))&((((in @ (esk4_2 @ X440 @ X441) @ nat)|~($true)|((X440)=(X441))|(~(non @ nat @ (^[Z0/* 3 */:$i]:(((X441)=(n_pl @ X440 @ Z0)))) @ (esk3_2 @ X440 @ X441))|~($true))|~(in @ X441 @ nat)|~(in @ X440 @ nat))&(~(non @ nat @ (^[Z0/* 3 */:$i]:(((X440)=(n_pl @ X441 @ Z0)))) @ (esk4_2 @ X440 @ X441))|~($true)|((X440)=(X441))|(~(non @ nat @ (^[Z0/* 3 */:$i]:(((X441)=(n_pl @ X440 @ Z0)))) @ (esk3_2 @ X440 @ X441))|~($true))|~(in @ X441 @ nat)|~(in @ X440 @ nat)))&(($true)|((X440)=(X441))|(~(non @ nat @ (^[Z0/* 3 */:$i]:(((X441)=(n_pl @ X440 @ Z0)))) @ (esk3_2 @ X440 @ X441))|~($true))|~(in @ X441 @ nat)|~(in @ X440 @ nat))))&((((in @ (esk4_2 @ X440 @ X441) @ nat)|~($true)|((X440)=(X441))|($true)|~(in @ X441 @ nat)|~(in @ X440 @ nat))&(~(non @ nat @ (^[Z0/* 3 */:$i]:(((X440)=(n_pl @ X441 @ Z0)))) @ (esk4_2 @ X440 @ X441))|~($true)|((X440)=(X441))|($true)|~(in @ X441 @ nat)|~(in @ X440 @ nat)))&(($true)|((X440)=(X441))|($true)|~(in @ X441 @ nat)|~(in @ X440 @ 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_36])])])])])])).
0.20/0.61	thf(c_0_39, negated_conjecture, ![X430:$i, X431:$i]:(((in @ esk1_0 @ nat)&((in @ esk2_0 @ nat)&((((~(in @ X430 @ nat)|(non @ nat @ (^[Z0/* 3 */:$i]:(((esk1_0)=(n_pl @ esk2_0 @ Z0)))) @ X430)|~($true)|~($true))&(($true)|~($true)|~($true)))&(((esk1_0)!=(esk2_0))|~($true)))&((~(in @ X431 @ nat)|(non @ nat @ (^[Z0/* 3 */:$i]:(((esk2_0)=(n_pl @ esk1_0 @ Z0)))) @ X431))&($true)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])])])])).
0.20/0.61	thf(c_0_40, plain, ![X4:$i, X1:$i]:((((X1)=(X4))|(in @ (esk3_2 @ X1 @ X4) @ nat)|~((non @ nat @ (^[Z0/* 3 */:$i]:(((X1)=(n_pl @ X4 @ Z0)))) @ (esk4_2 @ X1 @ X4)))|~(($true))|~(($true))|~((in @ X4 @ nat))|~((in @ X1 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_38])).
0.20/0.61	thf(c_0_41, negated_conjecture, ![X1:$i]:(((non @ nat @ (^[Z0/* 3 */:$i]:(((esk1_0)=(n_pl @ esk2_0 @ Z0)))) @ X1)|~((in @ X1 @ nat))|~(($true))|~(($true)))), inference(split_conjunct,[status(thm)],[c_0_39])).
0.20/0.61	thf(c_0_42, negated_conjecture, (((esk1_0)!=(esk2_0))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_39])).
0.20/0.61	thf(c_0_43, plain, ![X1:$i, X4:$i]:((((X1)=(X4))|(in @ (esk3_2 @ X1 @ X4) @ nat)|~((in @ X4 @ nat))|~((in @ X1 @ nat))|~((non @ nat @ (^[Z0/* 3 */:$i]:(((X1)=(n_pl @ X4 @ Z0)))) @ (esk4_2 @ X1 @ X4))))), inference(cn,[status(thm)],[c_0_40])).
0.20/0.61	thf(c_0_44, 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_41])).
0.20/0.61	thf(c_0_45, negated_conjecture, (in @ esk2_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_39])).
0.20/0.61	thf(c_0_46, negated_conjecture, (in @ esk1_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_39])).
0.20/0.61	thf(c_0_47, negated_conjecture, ((esk2_0)!=(esk1_0)), inference(cn,[status(thm)],[c_0_42])).
0.20/0.61	thf(c_0_48, plain, ![X4:$i, X1:$i]:(((in @ (esk4_2 @ X1 @ X4) @ nat)|((X1)=(X4))|(in @ (esk3_2 @ X1 @ X4) @ nat)|~(($true))|~(($true))|~((in @ X4 @ nat))|~((in @ X1 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_38])).
0.20/0.61	thf(c_0_49, plain, ![X4:$i, X1:$i]:((((X1)=(X4))|~((non @ nat @ (^[Z0/* 3 */:$i]:(((X1)=(n_pl @ X4 @ Z0)))) @ (esk4_2 @ X1 @ X4)))|~(($true))|~((non @ nat @ (^[Z0/* 3 */:$i]:(((X4)=(n_pl @ X1 @ Z0)))) @ (esk3_2 @ X1 @ X4)))|~(($true))|~((in @ X4 @ nat))|~((in @ X1 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_38])).
0.20/0.61	thf(c_0_50, negated_conjecture, ((in @ (esk3_2 @ esk1_0 @ esk2_0) @ nat)|~((in @ (esk4_2 @ esk1_0 @ esk2_0) @ nat))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43, c_0_44]), c_0_45]), c_0_46])]), c_0_47])).
0.20/0.61	thf(c_0_51, plain, ![X4:$i, X1:$i]:((((X1)=(X4))|(in @ (esk3_2 @ X1 @ X4) @ nat)|(in @ (esk4_2 @ X1 @ X4) @ nat)|~((in @ X4 @ nat))|~((in @ X1 @ nat)))), inference(cn,[status(thm)],[c_0_48])).
0.20/0.61	thf(c_0_52, plain, ![X4:$i, X1:$i]:(((in @ (esk4_2 @ X1 @ X4) @ nat)|((X1)=(X4))|~(($true))|~((non @ nat @ (^[Z0/* 3 */:$i]:(((X4)=(n_pl @ X1 @ Z0)))) @ (esk3_2 @ X1 @ X4)))|~(($true))|~((in @ X4 @ nat))|~((in @ X1 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_38])).
0.20/0.61	thf(c_0_53, plain, ![X1:$i, X4:$i]:((((X1)=(X4))|~((in @ X4 @ nat))|~((in @ X1 @ nat))|~((non @ nat @ (^[Z0/* 3 */:$i]:(((X4)=(n_pl @ X1 @ Z0)))) @ (esk3_2 @ X1 @ X4)))|~((non @ nat @ (^[Z0/* 3 */:$i]:(((X1)=(n_pl @ X4 @ Z0)))) @ (esk4_2 @ X1 @ X4))))), inference(cn,[status(thm)],[c_0_49])).
0.20/0.61	thf(c_0_54, negated_conjecture, ![X1:$i]:(((non @ nat @ (^[Z0/* 3 */:$i]:(((esk2_0)=(n_pl @ esk1_0 @ Z0)))) @ X1)|~((in @ X1 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_39])).
0.20/0.61	thf(c_0_55, negated_conjecture, (in @ (esk3_2 @ esk1_0 @ esk2_0) @ nat), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_45]), c_0_46])]), c_0_47])).
0.20/0.61	thf(c_0_56, plain, ![X1:$i, X4:$i]:((((X1)=(X4))|(in @ (esk4_2 @ X1 @ X4) @ nat)|~((in @ X4 @ nat))|~((in @ X1 @ nat))|~((non @ nat @ (^[Z0/* 3 */:$i]:(((X4)=(n_pl @ X1 @ Z0)))) @ (esk3_2 @ X1 @ X4))))), inference(cn,[status(thm)],[c_0_52])).
0.20/0.61	thf(c_0_57, negated_conjecture, ~((non @ nat @ (^[Z0/* 3 */:$i]:(((esk1_0)=(n_pl @ esk2_0 @ Z0)))) @ (esk4_2 @ esk1_0 @ esk2_0))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53, c_0_54]), c_0_45]), c_0_46]), c_0_55])]), c_0_47])).
0.20/0.61	thf(c_0_58, negated_conjecture, (in @ (esk4_2 @ esk1_0 @ esk2_0) @ nat), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_54]), c_0_45]), c_0_46])]), c_0_47]), c_0_55])])).
0.20/0.61	thf(c_0_59, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57, c_0_44]), c_0_58])]), ['proof']).
0.20/0.61	# SZS output end CNFRefutation
0.20/0.61	# Parsed axioms                        : 357
0.20/0.61	# Removed by relevancy pruning/SinE    : 273
0.20/0.61	# Initial clauses                      : 195
0.20/0.61	# Removed in clause preprocessing      : 69
0.20/0.61	# Initial clauses in saturation        : 126
0.20/0.61	# Processed clauses                    : 330
0.20/0.61	# ...of these trivial                  : 5
0.20/0.61	# ...subsumed                          : 34
0.20/0.61	# ...remaining for further processing  : 291
0.20/0.61	# Other redundant clauses eliminated   : 15
0.20/0.61	# Clauses deleted for lack of memory   : 0
0.20/0.61	# Backward-subsumed                    : 0
0.20/0.61	# Backward-rewritten                   : 9
0.20/0.61	# Generated clauses                    : 593
0.20/0.61	# ...of the previous two non-redundant : 561
0.20/0.61	# ...aggressively subsumed             : 0
0.20/0.61	# Contextual simplify-reflections      : 0
0.20/0.61	# Paramodulations                      : 570
0.20/0.61	# Factorizations                       : 2
0.20/0.61	# NegExts                              : 0
0.20/0.61	# Equation resolutions                 : 17
0.20/0.61	# Disequality decompositions           : 0
0.20/0.61	# Total rewrite steps                  : 163
0.20/0.61	# ...of those cached                   : 135
0.20/0.61	# Propositional unsat checks           : 0
0.20/0.61	#    Propositional check models        : 0
0.20/0.61	#    Propositional check unsatisfiable : 0
0.20/0.61	#    Propositional clauses             : 0
0.20/0.61	#    Propositional clauses after purity: 0
0.20/0.61	#    Propositional unsat core size     : 0
0.20/0.61	#    Propositional preprocessing time  : 0.000
0.20/0.61	#    Propositional encoding time       : 0.000
0.20/0.61	#    Propositional solver time         : 0.000
0.20/0.61	#    Success case prop preproc time    : 0.000
0.20/0.61	#    Success case prop encoding time   : 0.000
0.20/0.61	#    Success case prop solver time     : 0.000
0.20/0.61	# Current number of processed clauses  : 168
0.91/0.61	#    Positive orientable unit clauses  : 39
0.91/0.61	#    Positive unorientable unit clauses: 0
0.91/0.61	#    Negative unit clauses             : 30
0.91/0.61	#    Non-unit-clauses                  : 99
0.91/0.61	# Current number of unprocessed clauses: 461
0.91/0.61	# ...number of literals in the above   : 2258
0.91/0.61	# Current number of archived formulas  : 0
0.91/0.61	# Current number of archived clauses   : 118
0.91/0.61	# Clause-clause subsumption calls (NU) : 8870
0.91/0.61	# Rec. Clause-clause subsumption calls : 1075
0.91/0.61	# Non-unit clause-clause subsumptions  : 25
0.91/0.61	# Unit Clause-clause subsumption calls : 483
0.91/0.61	# Rewrite failures with RHS unbound    : 0
0.91/0.61	# BW rewrite match attempts            : 14
0.91/0.61	# BW rewrite match successes           : 8
0.91/0.61	# Condensation attempts                : 330
0.91/0.61	# Condensation successes               : 0
0.91/0.61	# Termbank termtop insertions          : 53013
0.91/0.61	# Search garbage collected termcells   : 10406
0.91/0.61	
0.91/0.61	# -------------------------------------------------
0.91/0.61	# User time                : 0.069 s
0.91/0.61	# System time              : 0.007 s
0.91/0.61	# Total time               : 0.077 s
0.91/0.61	# Maximum resident set size: 3764 pages
0.91/0.61	
0.91/0.61	# -------------------------------------------------
0.91/0.61	# User time                : 0.079 s
0.91/0.61	# System time              : 0.010 s
0.91/0.61	# Total time               : 0.088 s
0.91/0.61	# Maximum resident set size: 2260 pages
0.91/0.61	% E exiting
0.91/0.62	% E exiting
0.91/0.62	EOF