0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.10/0.35	% Computer : n031.cluster.edu
0.10/0.35	% Model    : x86_64 x86_64
0.10/0.35	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.35	% Memory   : 8046.5625MB
0.10/0.35	% OS       : Linux 6.8.0-71-generic
0.10/0.35	% CPULimit : 1440
0.10/0.35	% WCLimit  : 180
0.10/0.35	% DateTime : Mon Jul 27 13:45:25 UTC 2026
0.10/0.36	% CPUTime  : 
0.10/0.36	Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.13/0.40	Running higher-order theorem proving
0.13/0.44	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=180 /export/starexec/sandbox2/tmp/tmp.eSRVYbM8ZE/E---3.1_82924.p
1.52/0.67	% Version: 3.5.1-ho
1.52/0.67	% Preprocessing class: HSLMSMSSLLLCHSA.
1.52/0.67	% Scheduled 6 strats onto 8 cores with 180 seconds (1440 total)
1.52/0.67	% Starting lpo1_fix with 540s (3) cores
1.52/0.67	% Starting full_lambda_9 with 180s (1) cores
1.52/0.67	% Starting almost_fo_4 with 180s (1) cores
1.52/0.67	% Starting new_ho_9 with 180s (1) cores
1.52/0.67	% Starting pre_casc_4 with 180s (1) cores
1.52/0.67	% Starting ho_unfolding_6 with 180s (1) cores
1.52/0.67	% lpo1_fix with pid 82937 completed with status 0
1.52/0.67	% Result found by lpo1_fix
1.52/0.67	% Preprocessing class: HSLMSMSSLLLCHSA.
1.52/0.67	% Scheduled 6 strats onto 8 cores with 180 seconds (1440 total)
1.52/0.67	% Starting lpo1_fix with 540s (3) cores
1.52/0.67	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
1.52/0.67	% No SInE strategy applied
1.52/0.67	% Search class: HGHSM-FSLM32-MHSMMSBN
1.52/0.67	% Scheduled 11 strats onto 3 cores with 540 seconds (540 total)
1.52/0.67	% Starting SubtermCWHack with 55s (1) cores
1.52/0.67	% Starting full_lambda_5 with 50s (1) cores
1.52/0.67	% Starting new_ho_6 with 50s (1) cores
1.52/0.67	% full_lambda_5 with pid 82949 completed with status 0
1.52/0.67	% Result found by full_lambda_5
1.52/0.67	% Preprocessing class: HSLMSMSSLLLCHSA.
1.52/0.67	% Scheduled 6 strats onto 8 cores with 180 seconds (1440 total)
1.52/0.67	% Starting lpo1_fix with 540s (3) cores
1.52/0.67	% (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
1.52/0.67	% No SInE strategy applied
1.52/0.67	% Search class: HGHSM-FSLM32-MHSMMSBN
1.52/0.67	% Scheduled 11 strats onto 3 cores with 540 seconds (540 total)
1.52/0.67	% Starting SubtermCWHack with 55s (1) cores
1.52/0.67	% Starting full_lambda_5 with 50s (1) cores
1.52/0.67	% Preprocessing time       : 0.010 s
1.52/0.67	% Presaturation interreduction done
1.52/0.67	
1.52/0.67	% Proof found!
1.52/0.67	% SZS status Theorem
1.52/0.67	% SZS output start CNFRefutation
1.52/0.67	thf(decl_23, type, is_of: $i > ($i > $o) > $o).
1.52/0.67	thf(decl_24, type, all_of: ($i > $o) > ($i > $o) > $o).
1.52/0.67	thf(decl_26, type, in: $i > $i > $o).
1.52/0.67	thf(decl_62, type, imp: $o > $o > $o).
1.52/0.67	thf(decl_63, type, d_not: $o > $o).
1.52/0.67	thf(decl_68, type, l_or: $o > $o > $o).
1.52/0.67	thf(decl_72, type, non: $i > ($i > $o) > $i > $o).
1.52/0.67	thf(decl_73, type, l_some: $i > ($i > $o) > $o).
1.52/0.67	thf(decl_78, type, e_is: $i > $i > $i > $o).
1.52/0.67	thf(decl_124, type, nat: $i).
1.52/0.67	thf(decl_125, type, n_is: $i > $i > $o).
1.52/0.67	thf(decl_128, type, n_some: ($i > $o) > $o).
1.52/0.67	thf(decl_143, type, n_pl: $i > $i > $i).
1.52/0.67	thf(decl_148, type, diffprop: $i > $i > $i > $o).
1.52/0.67	thf(decl_149, type, d_29_ii: $i > $i > $o).
1.52/0.67	thf(decl_150, type, iii: $i > $i > $o).
1.52/0.67	thf(decl_153, type, lessis: $i > $i > $o).
1.52/0.67	thf(decl_186, type, esk29_0: $i).
1.52/0.67	thf(decl_187, type, esk30_0: $i).
1.52/0.67	thf(decl_188, type, esk31_0: $i).
1.52/0.67	thf(decl_189, type, esk32_0: $i).
1.52/0.67	thf(def_d_not, axiom, ((d_not)=(^[X36:$o]:((imp @ ((X36)) @ (~($true)))))), file('/export/starexec/sandbox2/tmp/tmp.eSRVYbM8ZE/E---3.1_82924.p', def_d_not)).
1.52/0.67	thf(def_imp, axiom, ((imp)=(^[X34:$o, X35:$o]:((((X34))=>((X35)))))), file('/export/starexec/sandbox2/tmp/tmp.eSRVYbM8ZE/E---3.1_82924.p', def_imp)).
1.52/0.67	thf(def_all_of, axiom, ((all_of)=(^[X3:$i > $o, X2:$i > $o]:(![X4:$i]:((((is_of @ X4 @ X3))=>((X2 @ X4))))))), file('/export/starexec/sandbox2/tmp/tmp.eSRVYbM8ZE/E---3.1_82924.p', def_all_of)).
1.52/0.67	thf(def_is_of, axiom, ((is_of)=(^[X1:$i, X2:$i > $o]:((X2 @ X1)))), file('/export/starexec/sandbox2/tmp/tmp.eSRVYbM8ZE/E---3.1_82924.p', def_is_of)).
1.52/0.67	thf(def_non, axiom, ((non)=(^[X1:$i, X2:$i > $o, X4:$i]:((d_not @ ((X2 @ X4)))))), file('/export/starexec/sandbox2/tmp/tmp.eSRVYbM8ZE/E---3.1_82924.p', def_non)).
1.52/0.67	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.eSRVYbM8ZE/E---3.1_82924.p', def_l_some)).
1.52/0.67	thf(def_e_is, axiom, ((e_is)=(^[X1:$i, X60:$i, X61:$i]:(((X60)=(X61))))), file('/export/starexec/sandbox2/tmp/tmp.eSRVYbM8ZE/E---3.1_82924.p', def_e_is)).
1.52/0.67	thf(def_diffprop, axiom, ((diffprop)=(^[X1:$i, X183:$i, X4:$i]:((n_is @ X1 @ (n_pl @ X183 @ X4))))), file('/export/starexec/sandbox2/tmp/tmp.eSRVYbM8ZE/E---3.1_82924.p', def_diffprop)).
1.52/0.67	thf(def_n_is, axiom, ((n_is)=(^[Z0:$i, Z1:$i]:(((Z0)=(Z1))))), file('/export/starexec/sandbox2/tmp/tmp.eSRVYbM8ZE/E---3.1_82924.p', def_n_is)).
1.52/0.67	thf(def_l_or, axiom, ((l_or)=(^[X42:$o]:(imp @ ((d_not @ ((X42))))))), file('/export/starexec/sandbox2/tmp/tmp.eSRVYbM8ZE/E---3.1_82924.p', def_l_or)).
1.52/0.67	thf(def_iii, axiom, ((iii)=(^[X1:$i, X185:$i]:((n_some @ (diffprop @ X185 @ X1))))), file('/export/starexec/sandbox2/tmp/tmp.eSRVYbM8ZE/E---3.1_82924.p', def_iii)).
1.52/0.67	thf(def_n_some, axiom, ((n_some)=(^[Z0:$i > $o]:(((((((![X417:$i]:((((((in @ X417 @ nat))))=>((((((((Z0 @ X417))))=>((~($true)))))))))))))=>((~($true)))))))), file('/export/starexec/sandbox2/tmp/tmp.eSRVYbM8ZE/E---3.1_82924.p', def_n_some)).
1.52/0.67	thf(def_d_29_ii, axiom, ((d_29_ii)=(^[X1:$i, X184:$i]:((n_some @ (diffprop @ X1 @ X184))))), file('/export/starexec/sandbox2/tmp/tmp.eSRVYbM8ZE/E---3.1_82924.p', def_d_29_ii)).
1.52/0.67	thf(def_lessis, axiom, ((lessis)=(^[X1:$i, X188:$i]:((l_or @ ((iii @ X1 @ X188)) @ ((n_is @ X1 @ X188)))))), file('/export/starexec/sandbox2/tmp/tmp.eSRVYbM8ZE/E---3.1_82924.p', def_lessis)).
1.52/0.67	thf(satz10d, axiom, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((all_of @ (^[X197:$i]:((in @ X197 @ nat))) @ (^[X198:$i]:((((d_not @ ((d_29_ii @ X1 @ X198))))<=((lessis @ X1 @ X198))))))))), file('/export/starexec/sandbox2/tmp/tmp.eSRVYbM8ZE/E---3.1_82924.p', satz10d)).
1.52/0.67	thf(satz10g, conjecture, (all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((all_of @ (^[X189:$i]:((in @ X189 @ nat))) @ (^[X190:$i]:((((d_not @ ((lessis @ X1 @ X190))))<=((d_29_ii @ X1 @ X190))))))))), file('/export/starexec/sandbox2/tmp/tmp.eSRVYbM8ZE/E---3.1_82924.p', satz10g)).
1.52/0.67	thf(c_0_16, plain, ((d_not)=(^[Z0:$o]:((((((Z0)))=>((~($true)))))))), inference(fof_simplification,[status(thm)],[def_d_not])).
1.52/0.67	thf(c_0_17, plain, ((imp)=(^[Z0:$o, Z1:$o]:((((Z0))=>((Z1)))))), inference(fof_simplification,[status(thm)],[def_imp])).
1.52/0.67	thf(c_0_18, plain, ((all_of)=(^[Z0:$i > $o, Z1:$i > $o]:(![X4:$i]:(((((Z0 @ X4)))=>((Z1 @ X4))))))), inference(fof_simplification,[status(thm)],[def_all_of])).
1.52/0.67	thf(c_0_19, plain, ((is_of)=(^[Z0:$i, Z1:$i > $o]:((Z1 @ Z0)))), inference(fof_simplification,[status(thm)],[def_is_of])).
1.52/0.67	thf(c_0_20, plain, ((non)=(^[Z0:$i, Z1:$i > $o, Z2:$i]:(((((((Z1 @ Z2))))=>((~($true)))))))), inference(fof_simplification,[status(thm)],[def_non])).
1.52/0.67	thf(c_0_21, plain, ((d_not)=(^[Z0:$o]:((((((Z0)))=>((~($true)))))))), inference(apply_def,[status(thm)],[c_0_16, c_0_17])).
1.52/0.67	thf(c_0_22, plain, ((l_some)=(^[Z0:$i, Z1:$i > $o]:(((((((![X390:$i]:((((((in @ X390 @ Z0))))=>((((((((Z1 @ X390))))=>((~($true)))))))))))))=>((~($true)))))))), inference(fof_simplification,[status(thm)],[def_l_some])).
1.52/0.67	thf(c_0_23, plain, ((all_of)=(^[Z0:$i > $o, Z1:$i > $o]:(![X4:$i]:(((((Z0 @ X4)))=>((Z1 @ X4))))))), inference(apply_def,[status(thm)],[c_0_18, c_0_19])).
1.52/0.67	thf(c_0_24, plain, ((non)=(^[Z0:$i, Z1:$i > $o, Z2:$i]:(((((((Z1 @ Z2))))=>((~($true)))))))), inference(apply_def,[status(thm)],[c_0_20, c_0_21])).
1.52/0.67	thf(c_0_25, plain, ((e_is)=(^[Z0:$i, Z1:$i, Z2:$i]:(((Z1)=(Z2))))), inference(fof_simplification,[status(thm)],[def_e_is])).
1.52/0.67	thf(c_0_26, plain, ((l_some)=(^[Z0:$i, Z1:$i > $o]:(((((((![X390:$i]:((((((in @ X390 @ Z0))))=>((((((((Z1 @ X390))))=>((~($true)))))))))))))=>((~($true)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_22, c_0_23]), c_0_21]), c_0_24])).
1.52/0.67	thf(c_0_27, plain, ((diffprop)=(^[Z0:$i, Z1:$i, Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2)))))), inference(fof_simplification,[status(thm)],[def_diffprop])).
1.52/0.67	thf(c_0_28, axiom, ((n_is)=(^[Z0:$i, Z1:$i]:(((Z0)=(Z1))))), inference(apply_def,[status(thm)],[def_n_is, c_0_25])).
1.52/0.67	thf(c_0_29, plain, ((l_or)=(^[Z0:$o, Z1:$o]:((((((((((Z0))))=>((~($true)))))))=>((Z1)))))), inference(fof_simplification,[status(thm)],[def_l_or])).
1.52/0.67	thf(c_0_30, plain, ((iii)=(^[Z0:$i, Z1:$i]:(((((((![X429:$i]:((((((in @ X429 @ nat))))=>(((((((((((Z1)=(n_pl @ Z0 @ X429)))))))=>((~($true)))))))))))))=>((~($true)))))))), inference(fof_simplification,[status(thm)],[def_iii])).
1.52/0.67	thf(c_0_31, axiom, ((n_some)=(^[Z0:$i > $o]:(((((((![X417:$i]:((((((in @ X417 @ nat))))=>((((((((Z0 @ X417))))=>((~($true)))))))))))))=>((~($true)))))))), inference(apply_def,[status(thm)],[def_n_some, c_0_26])).
1.52/0.67	thf(c_0_32, plain, ((diffprop)=(^[Z0:$i, Z1:$i, Z2:$i]:((((Z0)=(n_pl @ Z1 @ Z2)))))), inference(apply_def,[status(thm)],[c_0_27, c_0_28])).
1.52/0.67	thf(c_0_33, plain, ((d_29_ii)=(^[Z0:$i, Z1:$i]:(((((((![X428:$i]:((((((in @ X428 @ nat))))=>(((((((((((Z0)=(n_pl @ Z1 @ X428)))))))=>((~($true)))))))))))))=>((~($true)))))))), inference(fof_simplification,[status(thm)],[def_d_29_ii])).
1.52/0.67	thf(c_0_34, plain, ((lessis)=(^[Z0:$i, Z1:$i]:(((((((((((((((((![X433:$i]:((((((in @ X433 @ nat))))=>(((((((((((Z1)=(n_pl @ Z0 @ X433)))))))=>((~($true)))))))))))))=>((~($true)))))))))=>((~($true)))))))=>(((((Z0)=(Z1)))))))))), inference(fof_simplification,[status(thm)],[def_lessis])).
1.52/0.67	thf(c_0_35, plain, ((l_or)=(^[Z0:$o, Z1:$o]:((((((((((Z0))))=>((~($true)))))))=>((Z1)))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_29, c_0_17]), c_0_21])).
1.52/0.67	thf(c_0_36, plain, ((iii)=(^[Z0:$i, Z1:$i]:(((((((![X429:$i]:((((((in @ X429 @ nat))))=>(((((((((((Z1)=(n_pl @ Z0 @ X429)))))))=>((~($true)))))))))))))=>((~($true)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_30, c_0_31]), c_0_32])).
1.52/0.67	thf(c_0_37, plain, ((d_29_ii)=(^[Z0:$i, Z1:$i]:(((((((![X428:$i]:((((((in @ X428 @ nat))))=>(((((((((((Z0)=(n_pl @ Z1 @ X428)))))))=>((~($true)))))))))))))=>((~($true)))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_33, c_0_31]), c_0_32])).
1.52/0.67	thf(c_0_38, plain, ((lessis)=(^[Z0:$i, Z1:$i]:(((((((((((((((((![X433:$i]:((((((in @ X433 @ nat))))=>(((((((((((Z1)=(n_pl @ Z0 @ X433)))))))=>((~($true)))))))))))))=>((~($true)))))))))=>((~($true)))))))=>(((((Z0)=(Z1)))))))))), inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_34, c_0_35]), c_0_28]), c_0_36])).
1.52/0.67	thf(c_0_39, plain, ![X532:$i]:(((in @ X532 @ nat)=>![X531:$i]:(((in @ X531 @ nat)=>((((![X530:$i]:(((in @ X530 @ nat)=>(((X531)=(n_pl @ X532 @ X530))=>~($true))))=>~($true))=>~($true))=>((X532)=(X531)))=>((![X529:$i]:(((in @ X529 @ nat)=>(((X532)=(n_pl @ X531 @ X529))=>~($true))))=>~($true))=>~($true))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[satz10d]), c_0_23]), c_0_21]), c_0_37]), c_0_38])])).
1.52/0.67	thf(c_0_40, negated_conjecture, ~((all_of @ (^[X1:$i]:((in @ X1 @ nat))) @ (^[X1:$i]:((all_of @ (^[X189:$i]:((in @ X189 @ nat))) @ (^[X190:$i]:((((d_not @ ((lessis @ X1 @ X190))))<=((d_29_ii @ X1 @ X190)))))))))), inference(assume_negation,[status(cth)],[satz10g])).
1.52/0.67	thf(c_0_41, plain, ![X1081:$i, X1082:$i, X1083:$i, X1084:$i]:(((((~(in @ X1084 @ nat)|(((X1081)!=(n_pl @ X1082 @ X1084))|~($true))|~($true)|(~(in @ X1083 @ nat)|(((X1082)!=(n_pl @ X1081 @ X1083))|~($true))|~($true))|~(in @ X1082 @ nat)|~(in @ X1081 @ nat))&(($true)|~($true)|(~(in @ X1083 @ nat)|(((X1082)!=(n_pl @ X1081 @ X1083))|~($true))|~($true))|~(in @ X1082 @ nat)|~(in @ X1081 @ nat)))&((~(in @ X1084 @ nat)|(((X1081)!=(n_pl @ X1082 @ X1084))|~($true))|~($true)|(($true)|~($true))|~(in @ X1082 @ nat)|~(in @ X1081 @ nat))&(($true)|~($true)|(($true)|~($true))|~(in @ X1082 @ nat)|~(in @ X1081 @ nat))))&((~(in @ X1084 @ nat)|(((X1081)!=(n_pl @ X1082 @ X1084))|~($true))|~($true)|((X1081)!=(X1082))|~(in @ X1082 @ nat)|~(in @ X1081 @ nat))&(($true)|~($true)|((X1081)!=(X1082))|~(in @ X1082 @ nat)|~(in @ X1081 @ nat))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])])])).
1.52/0.67	thf(c_0_42, negated_conjecture, ~(![X518:$i]:(((in @ X518 @ nat)=>![X517:$i]:(((in @ X517 @ nat)=>((![X516:$i]:(((in @ X516 @ nat)=>(((X518)=(n_pl @ X517 @ X516))=>~($true))))=>~($true))=>((((![X515:$i]:(((in @ X515 @ nat)=>(((X517)=(n_pl @ X518 @ X515))=>~($true))))=>~($true))=>~($true))=>((X518)=(X517)))=>~($true)))))))), inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_40]), c_0_23]), c_0_21]), c_0_37]), c_0_38])])).
1.52/0.67	thf(c_0_43, plain, ![X1:$i, X5:$i, X4:$i]:((~((in @ X1 @ nat))|((X4)!=(n_pl @ X5 @ X1))|~(($true))|~(($true))|((X4)!=(X5))|~((in @ X5 @ nat))|~((in @ X4 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_41])).
1.52/0.67	thf(c_0_44, negated_conjecture, ((in @ esk29_0 @ nat)&((in @ esk30_0 @ nat)&((((in @ esk31_0 @ nat)|~($true))&((((esk29_0)=(n_pl @ esk30_0 @ esk31_0))|~($true))&(($true)|~($true))))&(((((in @ esk32_0 @ nat)|~($true)|((esk29_0)=(esk30_0)))&((((esk30_0)=(n_pl @ esk29_0 @ esk32_0))|~($true)|((esk29_0)=(esk30_0)))&(($true)|~($true)|((esk29_0)=(esk30_0)))))&(($true)|((esk29_0)=(esk30_0))))&($true))))), 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])])])])])).
1.52/0.67	thf(c_0_45, plain, ![X5:$i, X4:$i, X1:$i]:((((X4)!=(X5))|((X4)!=(n_pl @ X5 @ X1))|~((in @ X5 @ nat))|~((in @ X4 @ nat))|~((in @ X1 @ nat)))), inference(cn,[status(thm)],[c_0_43])).
1.52/0.67	thf(c_0_46, negated_conjecture, (((esk29_0)=(n_pl @ esk30_0 @ esk31_0))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_44])).
1.52/0.67	thf(c_0_47, negated_conjecture, ((in @ esk31_0 @ nat)|~(($true))), inference(split_conjunct,[status(thm)],[c_0_44])).
1.52/0.67	thf(c_0_48, plain, ![X1:$i, X6:$i, X5:$i, X4:$i]:((~((in @ X1 @ nat))|((X4)!=(n_pl @ X5 @ X1))|~(($true))|~(($true))|~((in @ X6 @ nat))|((X5)!=(n_pl @ X4 @ X6))|~(($true))|~(($true))|~((in @ X5 @ nat))|~((in @ X4 @ nat)))), inference(split_conjunct,[status(thm)],[c_0_41])).
1.52/0.67	thf(c_0_49, negated_conjecture, (((esk30_0)=(n_pl @ esk29_0 @ esk32_0))|((esk29_0)=(esk30_0))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_44])).
1.52/0.67	thf(c_0_50, plain, ![X1:$i, X4:$i]:((((n_pl @ X1 @ X4)!=(X1))|~((in @ (n_pl @ X1 @ X4) @ nat))|~((in @ X1 @ nat))|~((in @ X4 @ nat)))), inference(er,[status(thm)],[c_0_45])).
1.52/0.67	thf(c_0_51, negated_conjecture, ((esk29_0)=(n_pl @ esk30_0 @ esk31_0)), inference(cn,[status(thm)],[c_0_46])).
1.52/0.67	thf(c_0_52, negated_conjecture, (in @ esk29_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_44])).
1.52/0.67	thf(c_0_53, negated_conjecture, (in @ esk30_0 @ nat), inference(split_conjunct,[status(thm)],[c_0_44])).
1.52/0.67	thf(c_0_54, negated_conjecture, (in @ esk31_0 @ nat), inference(cn,[status(thm)],[c_0_47])).
1.52/0.67	thf(c_0_55, negated_conjecture, ((in @ esk32_0 @ nat)|((esk29_0)=(esk30_0))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_44])).
1.52/0.67	thf(c_0_56, plain, ![X6:$i, X5:$i, X4:$i, X1:$i]:((((X5)!=(n_pl @ X4 @ X6))|((X4)!=(n_pl @ X5 @ X1))|~((in @ X6 @ nat))|~((in @ X5 @ nat))|~((in @ X4 @ nat))|~((in @ X1 @ nat)))), inference(cn,[status(thm)],[c_0_48])).
1.52/0.67	thf(c_0_57, negated_conjecture, (((esk30_0)=(esk29_0))|((esk30_0)=(n_pl @ esk29_0 @ esk32_0))), inference(cn,[status(thm)],[c_0_49])).
1.52/0.67	thf(c_0_58, negated_conjecture, ((esk30_0)!=(esk29_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_51]), c_0_52]), c_0_53]), c_0_54])])).
1.52/0.67	thf(c_0_59, negated_conjecture, (((esk30_0)=(esk29_0))|(in @ esk32_0 @ nat)), inference(cn,[status(thm)],[c_0_55])).
1.52/0.67	thf(c_0_60, plain, ![X1:$i, X4:$i, X5:$i]:((((n_pl @ (n_pl @ X1 @ X4) @ X5)!=(X1))|~((in @ (n_pl @ X1 @ X4) @ nat))|~((in @ X4 @ nat))|~((in @ X1 @ nat))|~((in @ X5 @ nat)))), inference(er,[status(thm)],[c_0_56])).
1.52/0.67	thf(c_0_61, negated_conjecture, ((n_pl @ esk29_0 @ esk32_0)=(esk30_0)), inference(sr,[status(thm)],[c_0_57, c_0_58])).
1.52/0.67	thf(c_0_62, negated_conjecture, (in @ esk32_0 @ nat), inference(sr,[status(thm)],[c_0_59, c_0_58])).
1.52/0.67	thf(c_0_63, negated_conjecture, ![X1:$i]:((((n_pl @ esk30_0 @ X1)!=(esk29_0))|~((in @ X1 @ nat)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_61]), c_0_53]), c_0_62]), c_0_52])])).
1.52/0.67	thf(c_0_64, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63, c_0_51]), c_0_54])]), ['proof']).
1.52/0.67	% SZS output end CNFRefutation
1.52/0.67	% Parsed axioms                        : 355
1.52/0.67	% Removed by relevancy pruning/SinE    : 0
1.52/0.67	% Initial clauses                      : 698
1.52/0.67	% Removed in clause preprocessing      : 361
1.52/0.67	% Initial clauses in saturation        : 337
1.52/0.67	% Processed clauses                    : 618
1.52/0.67	% ...of these trivial                  : 5
1.52/0.67	% ...subsumed                          : 48
1.52/0.67	% ...remaining for further processing  : 565
1.52/0.67	% Other redundant clauses eliminated   : 86
1.52/0.67	% Clauses deleted for lack of memory   : 0
1.52/0.67	% Backward-subsumed                    : 3
1.52/0.67	% Backward-rewritten                   : 6
1.52/0.67	% Generated clauses                    : 985
1.52/0.67	% ...of the previous two non-redundant : 908
1.52/0.67	% ...aggressively subsumed             : 0
1.52/0.67	% Contextual simplify-reflections      : 6
1.52/0.67	% Paramodulations                      : 811
1.52/0.67	% Factorizations                       : 0
1.52/0.67	% NegExts                              : 8
1.52/0.67	% Equation resolutions                 : 89
1.52/0.67	% Disequality decompositions           : 0
1.52/0.67	% Total rewrite steps                  : 182
1.52/0.67	% ...of those cached                   : 106
1.52/0.67	% Propositional unsat checks           : 0
1.52/0.67	%    Propositional check models        : 0
1.52/0.67	%    Propositional check unsatisfiable : 0
1.52/0.67	%    Propositional clauses             : 0
1.52/0.67	%    Propositional clauses after purity: 0
1.52/0.67	%    Propositional unsat core size     : 0
1.52/0.67	%    Propositional preprocessing time  : 0.000
1.52/0.67	%    Propositional encoding time       : 0.000
1.52/0.67	%    Propositional solver time         : 0.000
1.52/0.67	%    Success case prop preproc time    : 0.000
1.52/0.67	%    Success case prop encoding time   : 0.000
1.52/0.67	%    Success case prop solver time     : 0.000
1.52/0.67	% Current number of processed clauses  : 209
1.52/0.67	%    Positive orientable unit clauses  : 86
1.52/0.67	%    Positive unorientable unit clauses: 3
1.52/0.67	%    Negative unit clauses             : 15
1.52/0.67	%    Non-unit-clauses                  : 105
1.52/0.67	% Current number of unprocessed clauses: 925
1.52/0.67	% ...number of literals in the above   : 2363
1.52/0.67	% Current number of archived formulas  : 0
1.52/0.67	% Current number of archived clauses   : 314
1.52/0.67	% Clause-clause subsumption calls (NU) : 19025
1.52/0.67	% Rec. Clause-clause subsumption calls : 4845
1.52/0.67	% Non-unit clause-clause subsumptions  : 47
1.52/0.67	% Unit Clause-clause subsumption calls : 1141
1.52/0.67	% Rewrite failures with RHS unbound    : 0
1.52/0.67	% BW rewrite match attempts            : 89
1.52/0.67	% BW rewrite match successes           : 20
1.52/0.67	% Condensation attempts                : 0
1.52/0.67	% Condensation successes               : 0
1.52/0.67	% Termbank termtop insertions          : 88310
1.52/0.67	% Search garbage collected termcells   : 22874
1.52/0.67	
1.52/0.67	% -------------------------------------------------
1.52/0.67	% User time                : 0.147 s
1.52/0.67	% System time              : 0.020 s
1.52/0.67	% Total time               : 0.167 s
1.52/0.67	% Maximum resident set size: 7748 pages
1.52/0.67	
1.52/0.67	% -------------------------------------------------
1.52/0.67	% User time                : 0.316 s
1.52/0.67	% System time              : 0.049 s
1.52/0.67	% Total time               : 0.365 s
1.52/0.67	% Maximum resident set size: 5376 pages
1.52/0.67	% E exiting
1.52/0.67	EOF