0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.12	% 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 09:11:19 EDT 2025
0.12/0.33	% CPUTime    : 
0.21/0.47	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.32dSX8694P/E---3.1_25103.p
0.36/0.61	# Version: 3.0.0-ho
0.36/0.61	# Preprocessing class: HSLMSMSSLLLCHSA.
0.36/0.61	# Scheduled 6 strats onto 8 cores with 240 seconds (1920 total)
0.36/0.61	# Starting lpo1_fix with 720s (3) cores
0.36/0.61	# Starting full_lambda_9 with 240s (1) cores
0.36/0.61	# Starting almost_fo_4 with 240s (1) cores
0.36/0.61	# Starting new_ho_9 with 240s (1) cores
0.36/0.61	# Starting pre_casc_4 with 240s (1) cores
0.36/0.61	# Starting ho_unfolding_6 with 240s (1) cores
0.36/0.61	# lpo1_fix with pid 25183 completed with status 0
0.36/0.61	# Result found by lpo1_fix
0.36/0.61	# Preprocessing class: HSLMSMSSLLLCHSA.
0.36/0.61	# Scheduled 6 strats onto 8 cores with 240 seconds (1920 total)
0.36/0.61	# Starting lpo1_fix with 720s (3) cores
0.36/0.61	# No SInE strategy applied
0.36/0.61	# Search class: HGHSM-FSLM32-MHSMMSBN
0.36/0.61	# Scheduled 11 strats onto 3 cores with 720 seconds (720 total)
0.36/0.61	# Starting full_lambda_5 with 66s (1) cores
0.36/0.61	# Starting new_ho_6 with 66s (1) cores
0.36/0.61	# Starting pre_casc_4 with 66s (1) cores
0.36/0.61	# pre_casc_4 with pid 25195 completed with status 0
0.36/0.61	# Result found by pre_casc_4
0.36/0.61	# Preprocessing class: HSLMSMSSLLLCHSA.
0.36/0.61	# Scheduled 6 strats onto 8 cores with 240 seconds (1920 total)
0.36/0.61	# Starting lpo1_fix with 720s (3) cores
0.36/0.61	# No SInE strategy applied
0.36/0.61	# Search class: HGHSM-FSLM32-MHSMMSBN
0.36/0.61	# Scheduled 11 strats onto 3 cores with 720 seconds (720 total)
0.36/0.61	# Starting full_lambda_5 with 66s (1) cores
0.36/0.61	# Starting new_ho_6 with 66s (1) cores
0.36/0.61	# Starting pre_casc_4 with 66s (1) cores
0.36/0.61	# Preprocessing time       : 0.005 s
0.36/0.61	# Presaturation interreduction done
0.36/0.61	
0.36/0.61	# Proof found!
0.36/0.61	# SZS status Theorem
0.36/0.61	# SZS output start CNFRefutation
0.36/0.61	thf(decl_23, type, is_of: $i > ($i > $o) > $o).
0.36/0.61	thf(decl_24, type, all_of: ($i > $o) > ($i > $o) > $o).
0.36/0.61	thf(decl_26, type, in: $i > $i > $o).
0.36/0.61	thf(decl_48, type, ordsucc: $i > $i).
0.36/0.61	thf(decl_62, type, imp: $o > $o > $o).
0.36/0.61	thf(decl_63, type, d_not: $o > $o).
0.36/0.61	thf(decl_66, type, l_ec: $o > $o > $o).
0.36/0.61	thf(decl_67, type, d_and: $o > $o > $o).
0.36/0.61	thf(decl_72, type, non: $i > ($i > $o) > $i > $o).
0.36/0.61	thf(decl_73, type, l_some: $i > ($i > $o) > $o).
0.36/0.61	thf(decl_78, type, e_is: $i > $i > $i > $o).
0.36/0.61	thf(decl_79, type, amone: $i > ($i > $o) > $o).
0.36/0.61	thf(decl_80, type, one: $i > ($i > $o) > $o).
0.36/0.61	thf(decl_124, type, nat: $i).
0.36/0.61	thf(decl_125, type, n_is: $i > $i > $o).
0.36/0.61	thf(decl_126, type, nis: $i > $i > $o).
0.36/0.61	thf(decl_128, type, n_some: ($i > $o) > $o).
0.36/0.61	thf(decl_130, type, n_one: ($i > $o) > $o).
0.36/0.61	thf(decl_131, type, n_1: $i).
0.36/0.61	thf(decl_169, type, esk29_0: $i).
0.36/0.61	thf(decl_170, type, esk30_0: $i).
0.36/0.61	thf(decl_171, type, esk31_0: $i).
0.36/0.61	thf(decl_172, type, esk32_1: $i > $i).
0.36/0.61	thf(def_d_not, axiom, ((d_not)=(^[X36:$o]:((imp @ ((X36)) @ (~($true)))))), file('/export/starexec/sandbox2/tmp/tmp.32dSX8694P/E---3.1_25103.p', def_d_not)).
0.36/0.61	thf(def_imp, axiom, ((imp)=(^[X34:$o, X35:$o]:(((X34)=>(X35))))), file('/export/starexec/sandbox2/tmp/tmp.32dSX8694P/E---3.1_25103.p', def_imp)).
0.36/0.61	thf(def_l_ec, axiom, ((l_ec)=(^[X38:$o, X39:$o]:((imp @ ((X38)) @ ((d_not @ ((X39)))))))), file('/export/starexec/sandbox2/tmp/tmp.32dSX8694P/E---3.1_25103.p', def_l_ec)).
0.36/0.61	thf(def_all_of, axiom, ((all_of)=(^[X3:$i > $o, X2:$i > $o]:(![X4:$i]:(((is_of @ X4 @ X3)=>(X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.32dSX8694P/E---3.1_25103.p', def_all_of)).
0.36/0.61	thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox2/tmp/tmp.32dSX8694P/E---3.1_25103.p', def_is_of)).
0.36/0.61	thf(def_non, axiom, ((non)=(^[X1:$i, X2:$i > $o, X4:$i]:((d_not @ ((X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.32dSX8694P/E---3.1_25103.p', def_non)).
0.36/0.61	thf(def_d_and, axiom, ((d_and)=(^[X40:$o, X41:$o]:((d_not @ ((l_ec @ ((X40)) @ ((X41)))))))), file('/export/starexec/sandbox2/tmp/tmp.32dSX8694P/E---3.1_25103.p', def_d_and)).
0.36/0.61	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/sandbox2/tmp/tmp.32dSX8694P/E---3.1_25103.p', def_l_some)).
0.36/0.61	thf(def_amone, axiom, ((amone)=(^[X1:$i, X2:$i > $o]:((all_of @ (^[X4:$i]:((in @ X4 @ X1))) @ (^[X4:$i]:((all_of @ (^[X10:$i]:((in @ X10 @ X1))) @ (^[X10:$i]:(((X2 @ X4)=>((X2 @ X10)=>(e_is @ X1 @ X4 @ X10)))))))))))), file('/export/starexec/sandbox2/tmp/tmp.32dSX8694P/E---3.1_25103.p', def_amone)).
0.36/0.61	thf(def_e_is, axiom, ((e_is)=(^[X1:$i, X60:$i, X61:$i]:(((X60)=(X61))))), file('/export/starexec/sandbox2/tmp/tmp.32dSX8694P/E---3.1_25103.p', def_e_is)).
0.36/0.61	thf(def_one, axiom, ((one)=(^[X1:$i, X2:$i > $o]:((d_and @ ((amone @ X1 @ X2)) @ ((l_some @ X1 @ X2)))))), file('/export/starexec/sandbox2/tmp/tmp.32dSX8694P/E---3.1_25103.p', def_one)).
0.36/0.61	thf(def_nis, axiom, ((nis)=(^[X1:$i, X113:$i]:((d_not @ ((n_is @ X1 @ X113)))))), file('/export/starexec/sandbox2/tmp/tmp.32dSX8694P/E---3.1_25103.p', def_nis)).
0.36/0.61	thf(def_n_is, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox2/tmp/tmp.32dSX8694P/E---3.1_25103.p', def_n_is)).
0.36/0.61	thf(def_n_some, axiom, ((n_some)=(^[Z0/* 3 */:$i > $o]:((((((![X349:$i]:(((((in @ X349 @ nat)))=>((((((Z0 @ X349)))=>(~($true))))))))))=>(~($true))))))), file('/export/starexec/sandbox2/tmp/tmp.32dSX8694P/E---3.1_25103.p', def_n_some)).
0.36/0.61	thf(def_n_one, axiom, ((n_one)=(^[Z0/* 3 */:$i > $o]:(((((((((((![X351:$i]:(((((in @ X351 @ nat)))=>((![X352:$i]:(((((in @ X352 @ nat)))=>(((Z0 @ X351)=>((Z0 @ X352)=>(((X351)=(X352))))))))))))))))=>((((((((((((![X353:$i]:(((((in @ X353 @ nat)))=>((((((Z0 @ X353)))=>(~($true))))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))), file('/export/starexec/sandbox2/tmp/tmp.32dSX8694P/E---3.1_25103.p', def_n_one)).
0.36/0.61	thf(satz3, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:(((nis @ X1 @ n_1)=>(n_some @ (^[X176:$i]:((n_is @ X1 @ (ordsucc @ X176))))))))), file('/export/starexec/sandbox2/tmp/tmp.32dSX8694P/E---3.1_25103.p', satz3)).
0.36/0.61	thf(satz3a, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:(((n_one @ (^[X175:$i]:((n_is @ X1 @ (ordsucc @ X175)))))<=(nis @ X1 @ n_1))))), file('/export/starexec/sandbox2/tmp/tmp.32dSX8694P/E---3.1_25103.p', satz3a)).
0.36/0.61	thf(ordsucc_inj, axiom, ![X1:$i, X156:$i]:((((X1)=(X156))<=((ordsucc @ X1)=(ordsucc @ X156)))), file('/export/starexec/sandbox2/tmp/tmp.32dSX8694P/E---3.1_25103.p', ordsucc_inj)).
0.36/0.61	thf(c_0_18, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_not])).
0.36/0.61	thf(c_0_19, plain, ((imp)=(^[Z0/* 19 */:$o, Z1:$o]:(((Z0)=>(Z1))))), inference(fof_simplification,[status(thm)],[def_imp])).
0.36/0.61	thf(c_0_20, plain, ((l_ec)=(^[Z0/* 19 */:$o, Z1:$o]:(((((Z0))=>((((((Z1)))=>(~($true)))))))))), inference(fof_simplification,[status(thm)],[def_l_ec])).
0.36/0.61	thf(c_0_21, plain, ((d_not)=(^[Z0/* 3 */:$o]:(((((Z0))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_18, c_0_19])).
0.36/0.61	thf(c_0_22, plain, ((all_of)=(^[Z0/* 19 */:$i > $o, Z1:$i > $o]:(![X4:$i]:((((Z0 @ X4))=>(Z1 @ X4)))))), inference(fof_simplification,[status(thm)],[def_all_of])).
0.36/0.61	thf(c_0_23, plain, ((is_of)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])).
0.36/0.61	thf(c_0_24, plain, ((non)=(^[Z0/* 19 */:$i, Z1:$i > $o, Z2:$i]:((((((Z1 @ Z2)))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_non])).
0.36/0.61	thf(c_0_25, plain, ((d_and)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((((Z0)))=>(((((((Z1))))=>(~($true)))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_d_and])).
0.36/0.61	thf(c_0_26, plain, ((l_ec)=(^[Z0/* 19 */:$o, Z1:$o]:(((((Z0))=>((((((Z1)))=>(~($true)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_20, c_0_19]), c_0_21])).
0.36/0.61	thf(c_0_27, plain, ((l_some)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((((((![X322:$i]:(((((in @ X322 @ Z0)))=>((((((Z1 @ X322)))=>(~($true))))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_l_some])).
0.36/0.61	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_22, c_0_23])).
0.36/0.61	thf(c_0_29, plain, ((non)=(^[Z0/* 19 */:$i, Z1:$i > $o, Z2:$i]:((((((Z1 @ Z2)))=>(~($true))))))), inference(apply_def,[status(thm)],[c_0_24, c_0_21])).
0.36/0.61	thf(c_0_30, plain, ((amone)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((![X324:$i]:(((((in @ X324 @ Z0)))=>((![X323:$i]:(((((in @ X323 @ Z0)))=>(((Z1 @ X324)=>((Z1 @ X323)=>(((X324)=(X323)))))))))))))))), inference(fof_simplification,[status(thm)],[def_amone])).
0.36/0.61	thf(c_0_31, plain, ((e_is)=(^[Z0/* 19 */:$i, Z1:$i, Z2:$i]:(((Z1)=(Z2))))), inference(fof_simplification,[status(thm)],[def_e_is])).
0.36/0.61	thf(c_0_32, plain, ((one)=(^[Z0/* 19 */:$i, Z1:$i > $o]:(((((((((((![X325:$i]:(((((in @ X325 @ Z0)))=>((![X326:$i]:(((((in @ X326 @ Z0)))=>(((Z1 @ X325)=>((Z1 @ X326)=>(((X325)=(X326))))))))))))))))=>((((((((((((![X327:$i]:(((((in @ X327 @ Z0)))=>((((((Z1 @ X327)))=>(~($true))))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_one])).
0.36/0.61	thf(c_0_33, plain, ((d_and)=(^[Z0/* 19 */:$o, Z1:$o]:((((((((((Z0)))=>(((((((Z1))))=>(~($true)))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_25, c_0_21]), c_0_26])).
0.36/0.61	thf(c_0_34, plain, ((l_some)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((((((![X322:$i]:(((((in @ X322 @ Z0)))=>((((((Z1 @ X322)))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_27, c_0_28]), c_0_21]), c_0_29])).
0.36/0.61	thf(c_0_35, plain, ((amone)=(^[Z0/* 19 */:$i, Z1:$i > $o]:((![X324:$i]:(((((in @ X324 @ Z0)))=>((![X323:$i]:(((((in @ X323 @ Z0)))=>(((Z1 @ X324)=>((Z1 @ X323)=>(((X324)=(X323)))))))))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_30, c_0_28]), c_0_31])).
0.36/0.61	thf(c_0_36, plain, ((nis)=(^[Z0/* 19 */:$i, Z1:$i]:((((((((Z0)=(Z1)))))=>(~($true))))))), inference(fof_simplification,[status(thm)],[def_nis])).
0.36/0.61	thf(c_0_37, axiom, ((n_is)=(^[Z0/* 19 */:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_n_is, c_0_31])).
0.36/0.61	thf(c_0_38, plain, ((one)=(^[Z0/* 19 */:$i, Z1:$i > $o]:(((((((((((![X325:$i]:(((((in @ X325 @ Z0)))=>((![X326:$i]:(((((in @ X326 @ Z0)))=>(((Z1 @ X325)=>((Z1 @ X326)=>(((X325)=(X326))))))))))))))))=>((((((((((((![X327:$i]:(((((in @ X327 @ Z0)))=>((((((Z1 @ X327)))=>(~($true))))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_32, c_0_33]), c_0_34]), c_0_35])).
0.36/0.61	thf(c_0_39, plain, ((nis)=(^[Z0/* 19 */:$i, Z1:$i]:((((((((Z0)=(Z1)))))=>(~($true))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_36, c_0_21]), c_0_37])).
0.36/0.61	thf(c_0_40, axiom, ((n_some)=(^[Z0/* 3 */:$i > $o]:((((((![X349:$i]:(((((in @ X349 @ nat)))=>((((((Z0 @ X349)))=>(~($true))))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[def_n_some, c_0_34])).
0.36/0.61	thf(c_0_41, axiom, ((n_one)=(^[Z0/* 3 */:$i > $o]:(((((((((((![X351:$i]:(((((in @ X351 @ nat)))=>((![X352:$i]:(((((in @ X352 @ nat)))=>(((Z0 @ X351)=>((Z0 @ X352)=>(((X351)=(X352))))))))))))))))=>((((((((((((![X353:$i]:(((((in @ X353 @ nat)))=>((((((Z0 @ X353)))=>(~($true))))))))))=>(~($true))))))))=>(~($true)))))))))=>(~($true))))))), inference(apply_def,[status(thm)],[def_n_one, c_0_38])).
0.36/0.61	thf(c_0_42, plain, ![X443:$i]:(((in @ X443 @ nat)=>((((X443)=(n_1))=>~($true))=>(![X442:$i]:(((in @ X442 @ nat)=>(((X443)=(ordsucc @ X442))=>~($true))))=>~($true))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz3]), c_0_28]), c_0_37]), c_0_39]), c_0_40])).
0.36/0.61	thf(c_0_43, negated_conjecture, ~(![X441:$i]:(((in @ X441 @ nat)=>((((X441)=(n_1))=>~($true))=>((![X438:$i]:(((in @ X438 @ nat)=>![X439:$i]:(((in @ X439 @ nat)=>(((X441)=(ordsucc @ X438))=>(((X441)=(ordsucc @ X439))=>((X438)=(X439))))))))=>((![X440:$i]:(((in @ X440 @ nat)=>(((X441)=(ordsucc @ X440))=>~($true))))=>~($true))=>~($true)))=>~($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)],[satz3a])]), c_0_28]), c_0_37]), c_0_39]), c_0_41])])).
0.36/0.61	thf(c_0_44, plain, ![X894:$i]:(((((in @ (esk32_1 @ X894) @ nat)|~($true)|((X894)=(n_1))|~(in @ X894 @ nat))&((((X894)=(ordsucc @ (esk32_1 @ X894)))|~($true)|((X894)=(n_1))|~(in @ X894 @ nat))&(($true)|~($true)|((X894)=(n_1))|~(in @ X894 @ nat))))&(((in @ (esk32_1 @ X894) @ nat)|~($true)|($true)|~(in @ X894 @ nat))&((((X894)=(ordsucc @ (esk32_1 @ X894)))|~($true)|($true)|~(in @ X894 @ nat))&(($true)|~($true)|($true)|~(in @ X894 @ nat)))))), 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_42])])])])])).
0.36/0.61	thf(c_0_45, negated_conjecture, ![X893:$i]:(((in @ esk29_0 @ nat)&((((esk29_0)!=(n_1))|~($true))&((((~(in @ X893 @ nat)|(((esk29_0)!=(ordsucc @ X893))|~($true))|~($true)|(in @ esk30_0 @ nat))&(($true)|~($true)|(in @ esk30_0 @ nat)))&(((~(in @ X893 @ nat)|(((esk29_0)!=(ordsucc @ X893))|~($true))|~($true)|(in @ esk31_0 @ nat))&(($true)|~($true)|(in @ esk31_0 @ nat)))&(((~(in @ X893 @ nat)|(((esk29_0)!=(ordsucc @ X893))|~($true))|~($true)|((esk29_0)=(ordsucc @ esk30_0)))&(($true)|~($true)|((esk29_0)=(ordsucc @ esk30_0))))&(((~(in @ X893 @ nat)|(((esk29_0)!=(ordsucc @ X893))|~($true))|~($true)|((esk29_0)=(ordsucc @ esk31_0)))&(($true)|~($true)|((esk29_0)=(ordsucc @ esk31_0))))&((~(in @ X893 @ nat)|(((esk29_0)!=(ordsucc @ X893))|~($true))|~($true)|((esk30_0)!=(esk31_0)))&(($true)|~($true)|((esk30_0)!=(esk31_0))))))))&($true))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])])])])).
0.36/0.61	thf(c_0_46, plain, ![X1:$i]:(((in @ (esk32_1 @ X1) @ nat)|((X1)=(n_1))|~(($true))|~((in @ X1 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_44])).
0.36/0.61	thf(c_0_47, negated_conjecture, (((esk29_0)!=(n_1))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_45])).
0.36/0.61	thf(c_0_48, plain, ![X1:$i]:((((X1)=(ordsucc @ (esk32_1 @ X1)))|((X1)=(n_1))|~(($true))|~((in @ X1 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_44])).
0.36/0.61	thf(c_0_49, plain, ![X1:$i, X156:$i]:((((ordsucc @ X1)=(ordsucc @ X156))=>((X1)=(X156)))), inference(fof_simplification,[status(thm)],[ordsucc_inj])).
0.36/0.61	thf(c_0_50, negated_conjecture, ![X1:$i]:((((esk29_0)=(ordsucc @ esk31_0))|~((in @ X1 @ nat))|((esk29_0)!=(ordsucc @ X1))|~(($true))|~(($true)))), inference(split_conjunct,[status(thm)],[c_0_45])).
0.36/0.61	thf(c_0_51, plain, ![X1:$i]:((((X1)=(n_1))|(in @ (esk32_1 @ X1) @ nat)|~((in @ X1 @ nat)))), inference(cn,[status(thm)],[c_0_46])).
0.36/0.61	thf(c_0_52, negated_conjecture, (in @ esk29_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_45])).
0.36/0.61	thf(c_0_53, negated_conjecture, ((esk29_0)!=(n_1)), inference(cn,[status(thm)],[c_0_47])).
0.36/0.61	thf(c_0_54, plain, ![X1:$i]:((((X1)=(n_1))|((X1)=(ordsucc @ (esk32_1 @ X1)))|~((in @ X1 @ nat)))), inference(cn,[status(thm)],[c_0_48])).
0.36/0.61	thf(c_0_55, plain, ![X834:$i, X835:$i]:((((ordsucc @ X834)!=(ordsucc @ X835))|((X834)=(X835)))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])).
0.36/0.61	thf(c_0_56, negated_conjecture, ![X1:$i]:((((esk29_0)=(ordsucc @ esk31_0))|((esk29_0)!=(ordsucc @ X1))|~((in @ X1 @ nat)))), inference(cn,[status(thm)],[c_0_50])).
0.36/0.61	thf(c_0_57, negated_conjecture, (in @ (esk32_1 @ esk29_0) @ nat), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_53])).
0.36/0.61	thf(c_0_58, negated_conjecture, ((ordsucc @ (esk32_1 @ esk29_0))=(esk29_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_52]), c_0_53])).
0.36/0.61	thf(c_0_59, negated_conjecture, ![X1:$i]:((((esk29_0)=(ordsucc @ esk30_0))|~((in @ X1 @ nat))|((esk29_0)!=(ordsucc @ X1))|~(($true))|~(($true)))), inference(split_conjunct,[status(thm)],[c_0_45])).
0.36/0.61	thf(c_0_60, negated_conjecture, ![X1:$i]:((~((in @ X1 @ nat))|((esk29_0)!=(ordsucc @ X1))|~(($true))|~(($true))|((esk30_0)!=(esk31_0)))), inference(split_conjunct,[status(thm)],[c_0_45])).
0.36/0.61	thf(c_0_61, plain, ![X1:$i, X4:$i]:((((X1)=(X4))|((ordsucc @ X1)!=(ordsucc @ X4)))), inference(split_conjunct,[status(thm)],[c_0_55])).
0.36/0.61	thf(c_0_62, negated_conjecture, ((ordsucc @ esk31_0)=(esk29_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_58])])).
0.36/0.61	thf(c_0_63, negated_conjecture, ![X1:$i]:((((esk29_0)=(ordsucc @ esk30_0))|((esk29_0)!=(ordsucc @ X1))|~((in @ X1 @ nat)))), inference(cn,[status(thm)],[c_0_59])).
0.36/0.61	thf(c_0_64, negated_conjecture, ![X1:$i]:((((esk31_0)!=(esk30_0))|((esk29_0)!=(ordsucc @ X1))|~((in @ X1 @ nat)))), inference(cn,[status(thm)],[c_0_60])).
0.36/0.61	thf(c_0_65, negated_conjecture, ![X1:$i]:((((X1)=(esk31_0))|((ordsucc @ X1)!=(esk29_0)))), inference(spm,[status(thm)],[c_0_61, c_0_62])).
0.36/0.61	thf(c_0_66, negated_conjecture, ((ordsucc @ esk30_0)=(esk29_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_57]), c_0_58])])).
0.36/0.61	thf(c_0_67, negated_conjecture, ((esk31_0)!=(esk30_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_57]), c_0_58])])).
0.36/0.61	thf(c_0_68, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_66]), c_0_67]), ['proof']).
0.36/0.61	# SZS output end CNFRefutation
0.36/0.61	# Parsed axioms                        : 291
0.36/0.61	# Removed by relevancy pruning/SinE    : 0
0.36/0.61	# Initial clauses                      : 416
0.36/0.61	# Removed in clause preprocessing      : 158
0.36/0.61	# Initial clauses in saturation        : 258
0.36/0.61	# Processed clauses                    : 502
0.36/0.61	# ...of these trivial                  : 4
0.36/0.61	# ...subsumed                          : 50
0.36/0.61	# ...remaining for further processing  : 448
0.36/0.61	# Other redundant clauses eliminated   : 28
0.36/0.61	# Clauses deleted for lack of memory   : 0
0.36/0.61	# Backward-subsumed                    : 15
0.36/0.61	# Backward-rewritten                   : 10
0.36/0.61	# Generated clauses                    : 510
0.36/0.61	# ...of the previous two non-redundant : 482
0.36/0.61	# ...aggressively subsumed             : 0
0.36/0.61	# Contextual simplify-reflections      : 0
0.36/0.61	# Paramodulations                      : 450
0.36/0.61	# Factorizations                       : 0
0.36/0.61	# NegExts                              : 0
0.36/0.61	# Equation resolutions                 : 29
0.36/0.61	# Disequality decompositions           : 0
0.36/0.61	# Total rewrite steps                  : 78
0.36/0.61	# ...of those cached                   : 44
0.36/0.61	# Propositional unsat checks           : 0
0.36/0.61	#    Propositional check models        : 0
0.36/0.61	#    Propositional check unsatisfiable : 0
0.36/0.61	#    Propositional clauses             : 0
0.36/0.61	#    Propositional clauses after purity: 0
0.36/0.61	#    Propositional unsat core size     : 0
0.36/0.61	#    Propositional preprocessing time  : 0.000
0.36/0.61	#    Propositional encoding time       : 0.000
0.36/0.61	#    Propositional solver time         : 0.000
0.36/0.61	#    Success case prop preproc time    : 0.000
0.36/0.61	#    Success case prop encoding time   : 0.000
0.36/0.61	#    Success case prop solver time     : 0.000
0.36/0.61	# Current number of processed clauses  : 164
0.36/0.61	#    Positive orientable unit clauses  : 65
0.36/0.61	#    Positive unorientable unit clauses: 0
0.36/0.61	#    Negative unit clauses             : 19
0.36/0.61	#    Non-unit-clauses                  : 80
0.36/0.61	# Current number of unprocessed clauses: 477
0.36/0.61	# ...number of literals in the above   : 1202
0.36/0.61	# Current number of archived formulas  : 0
0.36/0.61	# Current number of archived clauses   : 268
0.36/0.61	# Clause-clause subsumption calls (NU) : 8606
0.36/0.61	# Rec. Clause-clause subsumption calls : 3807
0.36/0.61	# Non-unit clause-clause subsumptions  : 22
0.36/0.61	# Unit Clause-clause subsumption calls : 590
0.36/0.61	# Rewrite failures with RHS unbound    : 0
0.36/0.61	# BW rewrite match attempts            : 28
0.36/0.61	# BW rewrite match successes           : 4
0.36/0.61	# Condensation attempts                : 0
0.36/0.61	# Condensation successes               : 0
0.36/0.61	# Termbank termtop insertions          : 42905
0.36/0.61	# Search garbage collected termcells   : 10761
0.36/0.61	
0.36/0.61	# -------------------------------------------------
0.36/0.61	# User time                : 0.061 s
0.36/0.61	# System time              : 0.011 s
0.36/0.61	# Total time               : 0.072 s
0.36/0.61	# Maximum resident set size: 4728 pages
0.36/0.61	
0.36/0.61	# -------------------------------------------------
0.36/0.61	# User time                : 0.146 s
0.36/0.61	# System time              : 0.023 s
0.36/0.61	# Total time               : 0.169 s
0.36/0.61	# Maximum resident set size: 2124 pages
0.36/0.61	% E exiting
0.36/0.61	% E exiting
0.36/0.61	EOF