0.00/0.05 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.18/0.45 % Computer : n029.cluster.edu 0.18/0.45 % Model : x86_64 x86_64 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.18/0.45 % Memory : 8046.5625MB 0.18/0.45 % OS : Linux 6.8.0-71-generic 0.18/0.45 % CPULimit : 1440 0.18/0.45 % WCLimit : 180 0.18/0.45 % DateTime : Mon Jul 27 12:48:31 UTC 2026 0.18/0.45 % CPUTime : 0.18/0.45 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.22/0.53 Running higher-order theorem proving 0.22/0.55 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.cxhyerlEo7/E---3.1_2854890.p 16.26/3.82 % Version: 3.5.1-ho 16.26/3.82 % Preprocessing class: HSMSSMSSSSSNHHN. 16.26/3.82 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 16.26/3.82 % Starting new_ho_12 with 720s (4) cores 16.26/3.82 % Starting sh3l with 360s (2) cores 16.26/3.82 % Starting ehoh_best5_lambda with 180s (1) cores 16.26/3.82 % Starting lpo9_lambda_fix with 180s (1) cores 16.26/3.82 % sh3l with pid 2854905 completed with status 9 16.26/3.82 % new_ho_12 with pid 2854904 completed with status 0 16.26/3.82 % Result found by new_ho_12 16.26/3.82 % Preprocessing class: HSMSSMSSSSSNHHN. 16.26/3.82 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 16.26/3.82 % Starting new_ho_12 with 720s (4) cores 16.26/3.82 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 16.26/3.82 % No SInE strategy applied 16.26/3.82 % Search class: HGHSS-FFMF32-SHHFFMBN 16.26/3.82 % partial match(2): HGHNF-FFMF32-SHHFFMBN 16.26/3.82 % Scheduled 7 strats onto 4 cores with 720 seconds (720 total) 16.26/3.82 % Starting SubtermCWHack with 65s (1) cores 16.26/3.82 % Starting new_ho_12 with 73s (1) cores 16.26/3.82 % Starting ehoh_best_sine_rwall with 109s (1) cores 16.26/3.82 % Starting lpo1_def_fix with 109s (1) cores 16.26/3.82 % new_ho_12 with pid 2854913 completed with status 0 16.26/3.82 % Result found by new_ho_12 16.26/3.82 % Preprocessing class: HSMSSMSSSSSNHHN. 16.26/3.82 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 16.26/3.82 % Starting new_ho_12 with 720s (4) cores 16.26/3.82 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 16.26/3.82 % No SInE strategy applied 16.26/3.82 % Search class: HGHSS-FFMF32-SHHFFMBN 16.26/3.82 % partial match(2): HGHNF-FFMF32-SHHFFMBN 16.26/3.82 % Scheduled 7 strats onto 4 cores with 720 seconds (720 total) 16.26/3.82 % Starting SubtermCWHack with 65s (1) cores 16.26/3.82 % Starting new_ho_12 with 73s (1) cores 16.26/3.82 % Preprocessing time : 0.004 s 16.26/3.82 % Presaturation interreduction done 16.26/3.82 16.26/3.82 % Proof found! 16.26/3.82 % SZS status Theorem 16.26/3.82 % SZS output start CNFRefutation 16.26/3.82 thf(decl_sort1, type, d_unsorted: $tType). 16.26/3.82 thf(decl_23, type, irel: $i > $i > $o). 16.26/3.82 thf(decl_24, type, mnot: ($i > $o) > $i > $o). 16.26/3.82 thf(decl_25, type, mor: ($i > $o) > ($i > $o) > $i > $o). 16.26/3.82 thf(decl_26, type, mand: ($i > $o) > ($i > $o) > $i > $o). 16.26/3.82 thf(decl_27, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 16.26/3.82 thf(decl_28, type, mbox_s4: ($i > $o) > $i > $o). 16.26/3.82 thf(decl_29, type, iatom: ($i > $o) > $i > $o). 16.26/3.82 thf(decl_30, type, inot: ($i > $o) > $i > $o). 16.26/3.82 thf(decl_31, type, itrue: $i > $o). 16.26/3.82 thf(decl_32, type, ifalse: $i > $o). 16.26/3.82 thf(decl_33, type, iand: ($i > $o) > ($i > $o) > $i > $o). 16.26/3.82 thf(decl_34, type, ior: ($i > $o) > ($i > $o) > $i > $o). 16.26/3.82 thf(decl_35, type, iimplies: ($i > $o) > ($i > $o) > $i > $o). 16.26/3.82 thf(decl_36, type, iimplied: ($i > $o) > ($i > $o) > $i > $o). 16.26/3.82 thf(decl_37, type, iequiv: ($i > $o) > ($i > $o) > $i > $o). 16.26/3.82 thf(decl_38, type, ixor: ($i > $o) > ($i > $o) > $i > $o). 16.26/3.82 thf(decl_39, type, ivalid: ($i > $o) > $o). 16.26/3.82 thf(decl_40, type, isatisfiable: ($i > $o) > $o). 16.26/3.82 thf(decl_41, type, icountersatisfiable: ($i > $o) > $o). 16.26/3.82 thf(decl_42, type, iinvalid: ($i > $o) > $o). 16.26/3.82 thf(decl_43, type, d2unsorted: d_unsorted > $i). 16.26/3.82 thf(decl_44, type, d_unsorted_0: d_unsorted). 16.26/3.82 thf(decl_45, type, esk1_1: $i > d_unsorted). 16.26/3.82 thf(decl_46, type, esk2_2: ($i > $o) > $i > $i). 16.26/3.82 thf(decl_47, type, esk3_2: ($i > $o) > $i > $i). 16.26/3.82 thf(decl_48, type, esk4_3: ($i > $o) > ($i > $o) > $i > $i). 16.26/3.82 thf(decl_49, type, esk5_3: ($i > $o) > ($i > $o) > $i > $i). 16.26/3.82 thf(decl_50, type, esk6_3: ($i > $o) > ($i > $o) > $i > $i). 16.26/3.82 thf(decl_51, type, esk7_3: ($i > $o) > ($i > $o) > $i > $i). 16.26/3.82 thf(decl_52, type, esk8_3: ($i > $o) > ($i > $o) > $i > $i). 16.26/3.82 thf(decl_53, type, esk9_3: ($i > $o) > ($i > $o) > $i > $i). 16.26/3.82 thf(decl_54, type, esk10_1: ($i > $o) > $i). 16.26/3.82 thf(decl_55, type, esk11_1: ($i > $o) > $i). 16.26/3.82 thf(decl_56, type, esk12_1: ($i > $o) > $i). 16.26/3.82 thf(decl_57, type, esk13_1: ($i > $o) > $i). 16.26/3.82 thf(decl_58, type, esk14_3: ($i > $o) > ($i > $o) > $i > $i). 16.26/3.82 thf(decl_59, type, esk15_3: ($i > $o) > ($i > $o) > $i > $i). 16.26/3.82 thf(decl_60, type, esk16_3: ($i > $o) > ($i > $o) > $i > $i). 16.26/3.82 thf(decl_61, type, esk17_5: ($i > $o) > ($i > $o) > $i > $i > $i > $i). 16.26/3.82 thf(decl_62, type, esk18_4: ($i > $o) > ($i > $o) > $i > $i > $i). 16.26/3.82 thf(decl_63, type, esk19_3: ($i > $o) > ($i > $o) > $i > $i). 16.26/3.82 thf(decl_64, type, esk20_3: ($i > $o) > ($i > $o) > $i > $i). 16.26/3.82 thf(decl_65, type, esk21_3: ($i > $o) > ($i > $o) > $i > $i). 16.26/3.82 thf(decl_66, type, esk22_3: ($i > $o) > ($i > $o) > $i > $i). 16.26/3.82 thf(decl_67, type, epred1_0: $i > $o). 16.26/3.82 thf(decl_68, type, epred2_0: $i > $o). 16.26/3.82 thf(decl_69, type, esk23_0: $i). 16.26/3.82 thf(decl_70, type, esk3_0: $i). 16.26/3.82 thf(lcl695_1, axiom, ((((((((((((((((((((((![X1:$i]:(?[X2:d_unsorted]:(((X1)=(d2unsorted @ X2))))&![X2:d_unsorted]:(((X2)=(d_unsorted_0))))&![X3:d_unsorted, X4:d_unsorted]:((((X3)=(X4))<=((d2unsorted @ X3)=(d2unsorted @ X4)))))&((mimplies)=(^[X5:$i > $o, X6:$i > $o, X7:$i]:(((~((X5 @ X7)))|((X6 @ X7)))))))&((mbox_s4)=(^[X8:$i > $o, X9:$i]:(![X10:$i]:(((~((irel @ X9 @ X10)))|((X8 @ X10))))))))&((iatom)=(^[X8:$i > $o, X7:$i]:((X8 @ X7)))))&((inot)=(^[X8:$i > $o, X7:$i]:(~(![X10:$i]:(((~((irel @ X7 @ X10)))|((X8 @ X10)))))))))&((iand)=(^[X8:$i > $o, X11:$i > $o, X7:$i]:((((X11 @ X7))&((X8 @ X7)))))))&((iimplied)=(^[X8:$i > $o, X11:$i > $o, X7:$i]:(((![X10:$i]:((((X8 @ X10))|(~((irel @ X7 @ X10))))))|(~(![X10:$i]:((((X11 @ X10))|(~((irel @ X7 @ X10))))))))))))&((iequiv)=(^[X8:$i > $o, X11:$i > $o, X7:$i]:(((((![X10:$i]:((((X8 @ X10))|(~((irel @ X7 @ X10))))))|(~(![X10:$i]:((((X11 @ X10))|(~((irel @ X7 @ X10)))))))))&(((![X10:$i]:((((X11 @ X10))|(~((irel @ X7 @ X10))))))|(~(![X10:$i]:((((X8 @ X10))|(~((irel @ X7 @ X10))))))))))))))&((ivalid)=(^[X12:$i > $o]:(![X13:$i]:((X12 @ X13))))))&((isatisfiable)=(^[X12:$i > $o]:(~(![X13:$i]:(~((X12 @ X13))))))))&((icountersatisfiable)=(^[X12:$i > $o]:(~(![X13:$i]:((X12 @ X13)))))))&((iinvalid)=(^[X12:$i > $o]:(![X13:$i]:(~((X12 @ X13)))))))&(irel @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0)))&(itrue @ (d2unsorted @ d_unsorted_0)))&~((ifalse @ (d2unsorted @ d_unsorted_0))))&((ixor)=(^[X8:$i > $o, X11:$i > $o, X7:$i]:(~(![X10:$i, X14:$i, X15:$i]:(((~((irel @ X7 @ X10)))|(((((((~(![X16:$i]:(((~((irel @ X10 @ X16)))|((X11 @ X16))))))|((X8 @ X15))))|(~((irel @ X10 @ X15)))))&(((((~((irel @ X10 @ X14)))|((X11 @ X14))))|(~(![X17:$i]:((((X8 @ X17))|(~((irel @ X10 @ X17))))))))))))))))))&((iimplies)=(^[X8:$i > $o, X11:$i > $o, X7:$i]:(((![X10:$i]:(((~((irel @ X7 @ X10)))|((X11 @ X10)))))|(~(![X10:$i]:((((X8 @ X10))|(~((irel @ X7 @ X10))))))))))))&((ior)=(^[X8:$i > $o, X11:$i > $o, X7:$i]:(((![X10:$i]:(((~((irel @ X7 @ X10)))|((X11 @ X10)))))|(![X10:$i]:((((X8 @ X10))|(~((irel @ X7 @ X10)))))))))))&((mand)=(^[X18:$i > $o, X19:$i > $o, X1:$i]:((((X18 @ X1))&((X19 @ X1)))))))&((mor)=(^[X20:$i > $o, X21:$i > $o, X1:$i]:((((X21 @ X1))|((X20 @ X1)))))))&((mnot)=(^[X22:$i > $o, X1:$i]:(~((X22 @ X1)))))), file('/export/starexec/sandbox2/tmp/tmp.cxhyerlEo7/E---3.1_2854890.p', lcl695_1)). 16.26/3.82 thf(ixor, conjecture, ((ixor)=(^[X8:$i > $o, X11:$i > $o]:(inot @ (iequiv @ X8 @ X11)))), file('/export/starexec/sandbox2/tmp/tmp.cxhyerlEo7/E---3.1_2854890.p', ixor)). 16.26/3.82 thf(c_0_2, plain, ((((((((((((((((((((((![X1:$i]:(?[X2:d_unsorted]:(((X1)=(d2unsorted @ X2))))&![X2:d_unsorted]:(((X2)=(d_unsorted_0))))&![X3:d_unsorted, X4:d_unsorted]:((((d2unsorted @ X3)=(d2unsorted @ X4))=>((X3)=(X4)))))&![X28:$i > $o, X29:$i > $o, X30:$i]:(((mimplies @ X28 @ X29 @ X30)<=>(~((X28 @ X30))|(X29 @ X30)))))&![X31:$i > $o, X32:$i]:(((mbox_s4 @ X31 @ X32)<=>![X10:$i]:((~(irel @ X32 @ X10)|(X31 @ X10))))))&![X33:$i > $o, X34:$i]:(((iatom @ X33 @ X34)<=>(X33 @ X34))))&![X35:$i > $o, X36:$i]:(((inot @ X35 @ X36)<=>~(![X10:$i]:((~(irel @ X36 @ X10)|(X35 @ X10)))))))&![X37:$i > $o, X38:$i > $o, X39:$i]:(((iand @ X37 @ X38 @ X39)<=>((X38 @ X39)&(X37 @ X39)))))&![X40:$i > $o, X41:$i > $o, X42:$i]:(((iimplied @ X40 @ X41 @ X42)<=>(![X10:$i]:(((X40 @ X10)|~(irel @ X42 @ X10)))|~(![X10:$i]:(((X41 @ X10)|~(irel @ X42 @ X10))))))))&![X43:$i > $o, X44:$i > $o, X45:$i]:(((iequiv @ X43 @ X44 @ X45)<=>((![X10:$i]:(((X43 @ X10)|~(irel @ X45 @ X10)))|~(![X10:$i]:(((X44 @ X10)|~(irel @ X45 @ X10)))))&(![X10:$i]:(((X44 @ X10)|~(irel @ X45 @ X10)))|~(![X10:$i]:(((X43 @ X10)|~(irel @ X45 @ X10)))))))))&![X46:$i > $o]:(((ivalid @ X46)<=>![X13:$i]:((X46 @ X13)))))&![X47:$i > $o]:(((isatisfiable @ X47)<=>~(![X13:$i]:(~((X47 @ X13)))))))&![X48:$i > $o]:(((icountersatisfiable @ X48)<=>~(![X13:$i]:((X48 @ X13))))))&![X49:$i > $o]:(((iinvalid @ X49)<=>![X13:$i]:(~((X49 @ X13))))))&(irel @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0)))&(itrue @ (d2unsorted @ d_unsorted_0)))&~(ifalse @ (d2unsorted @ d_unsorted_0)))&![X50:$i > $o, X51:$i > $o, X52:$i]:(((ixor @ X50 @ X51 @ X52)<=>~(![X10:$i, X14:$i, X15:$i]:((~(irel @ X52 @ X10)|((~(![X16:$i]:((~(irel @ X10 @ X16)|(X51 @ X16))))|(X50 @ X15)|~(irel @ X10 @ X15))&(~(irel @ X10 @ X14)|(X51 @ X14)|~(![X17:$i]:(((X50 @ X17)|~(irel @ X10 @ X17))))))))))))&![X53:$i > $o, X54:$i > $o, X55:$i]:(((iimplies @ X53 @ X54 @ X55)<=>(![X10:$i]:((~(irel @ X55 @ X10)|(X54 @ X10)))|~(![X10:$i]:(((X53 @ X10)|~(irel @ X55 @ X10))))))))&![X56:$i > $o, X57:$i > $o, X58:$i]:(((ior @ X56 @ X57 @ X58)<=>(![X10:$i]:((~(irel @ X58 @ X10)|(X57 @ X10)))|![X10:$i]:(((X56 @ X10)|~(irel @ X58 @ X10)))))))&![X59:$i > $o, X60:$i > $o, X61:$i]:(((mand @ X59 @ X60 @ X61)<=>((X59 @ X61)&(X60 @ X61)))))&![X62:$i > $o, X63:$i > $o, X64:$i]:(((mor @ X62 @ X63 @ X64)<=>((X63 @ X64)|(X62 @ X64)))))&![X65:$i > $o, X66:$i]:(((mnot @ X65 @ X66)<=>~((X65 @ X66))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[lcl695_1])])])). 16.26/3.82 thf(c_0_3, plain, ![X69:$i, X71:d_unsorted, X72:d_unsorted, X73:d_unsorted, X74:$i > $o, X75:$i > $o, X76:$i, X77:$i > $o, X78:$i, X79:$i, X80:$i > $o, X81:$i, X83:$i > $o, X84:$i, X85:$i > $o, X86:$i, X88:$i > $o, X89:$i, X90:$i, X91:$i > $o, X92:$i > $o, X93:$i, X94:$i > $o, X95:$i > $o, X96:$i, X97:$i, X99:$i > $o, X100:$i > $o, X101:$i, X103:$i, X104:$i > $o, X105:$i > $o, X106:$i, X107:$i, X109:$i, X111:$i > $o, X112:$i > $o, X113:$i, X115:$i, X117:$i, X118:$i > $o, X119:$i, X120:$i > $o, X122:$i > $o, X124:$i > $o, X125:$i, X126:$i > $o, X128:$i > $o, X129:$i, X130:$i > $o, X131:$i, X132:$i > $o, X134:$i > $o, X135:$i > $o, X136:$i, X139:$i, X141:$i, X142:$i > $o, X143:$i > $o, X144:$i, X145:$i, X146:$i, X148:$i, X150:$i > $o, X151:$i > $o, X152:$i, X153:$i, X155:$i > $o, X156:$i > $o, X157:$i, X159:$i, X160:$i > $o, X161:$i > $o, X162:$i, X163:$i, X164:$i, X165:$i > $o, X166:$i > $o, X167:$i, X170:$i > $o, X171:$i > $o, X172:$i, X173:$i > $o, X174:$i > $o, X175:$i, X176:$i > $o, X177:$i]:(((((((((((((((((((((((((X69)=(d2unsorted @ (esk1_1 @ X69)))&((X71)=(d_unsorted_0)))&(((d2unsorted @ X72)!=(d2unsorted @ X73))|((X72)=(X73))))&((~(mimplies @ X74 @ X75 @ X76)|(~(X74 @ X76)|(X75 @ X76)))&(((X74 @ X76)|(mimplies @ X74 @ X75 @ X76))&(~(X75 @ X76)|(mimplies @ X74 @ X75 @ X76)))))&((~(mbox_s4 @ X77 @ X78)|(~(irel @ X78 @ X79)|(X77 @ X79)))&(((irel @ X81 @ (esk2_2 @ X80 @ X81))|(mbox_s4 @ X80 @ X81))&(~(X80 @ (esk2_2 @ X80 @ X81))|(mbox_s4 @ X80 @ X81)))))&((~(iatom @ X83 @ X84)|(X83 @ X84))&(~(X83 @ X84)|(iatom @ X83 @ X84))))&((((irel @ X86 @ (esk3_2 @ X85 @ X86))|~(inot @ X85 @ X86))&(~(X85 @ (esk3_2 @ X85 @ X86))|~(inot @ X85 @ X86)))&(~(irel @ X89 @ X90)|(X88 @ X90)|(inot @ X88 @ X89))))&((((X92 @ X93)|~(iand @ X91 @ X92 @ X93))&((X91 @ X93)|~(iand @ X91 @ X92 @ X93)))&(~(X92 @ X93)|~(X91 @ X93)|(iand @ X91 @ X92 @ X93))))&(((~(X95 @ (esk4_3 @ X94 @ X95 @ X96))|((X94 @ X97)|~(irel @ X96 @ X97))|~(iimplied @ X94 @ X95 @ X96))&((irel @ X96 @ (esk4_3 @ X94 @ X95 @ X96))|((X94 @ X97)|~(irel @ X96 @ X97))|~(iimplied @ X94 @ X95 @ X96)))&(((~(X99 @ (esk5_3 @ X99 @ X100 @ X101))|(iimplied @ X99 @ X100 @ X101))&((irel @ X101 @ (esk5_3 @ X99 @ X100 @ X101))|(iimplied @ X99 @ X100 @ X101)))&((X100 @ X103)|~(irel @ X101 @ X103)|(iimplied @ X99 @ X100 @ X101)))))&((((~(X105 @ (esk6_3 @ X104 @ X105 @ X106))|((X104 @ X107)|~(irel @ X106 @ X107))|~(iequiv @ X104 @ X105 @ X106))&((irel @ X106 @ (esk6_3 @ X104 @ X105 @ X106))|((X104 @ X107)|~(irel @ X106 @ X107))|~(iequiv @ X104 @ X105 @ X106)))&((~(X104 @ (esk7_3 @ X104 @ X105 @ X106))|((X105 @ X109)|~(irel @ X106 @ X109))|~(iequiv @ X104 @ X105 @ X106))&((irel @ X106 @ (esk7_3 @ X104 @ X105 @ X106))|((X105 @ X109)|~(irel @ X106 @ X109))|~(iequiv @ X104 @ X105 @ X106))))&(((((~(X112 @ (esk9_3 @ X111 @ X112 @ X113))|~(X111 @ (esk8_3 @ X111 @ X112 @ X113))|(iequiv @ X111 @ X112 @ X113))&((irel @ X113 @ (esk9_3 @ X111 @ X112 @ X113))|~(X111 @ (esk8_3 @ X111 @ X112 @ X113))|(iequiv @ X111 @ X112 @ X113)))&((X111 @ X117)|~(irel @ X113 @ X117)|~(X111 @ (esk8_3 @ X111 @ X112 @ X113))|(iequiv @ X111 @ X112 @ X113)))&(((~(X112 @ (esk9_3 @ X111 @ X112 @ X113))|(irel @ X113 @ (esk8_3 @ X111 @ X112 @ X113))|(iequiv @ X111 @ X112 @ X113))&((irel @ X113 @ (esk9_3 @ X111 @ X112 @ X113))|(irel @ X113 @ (esk8_3 @ X111 @ X112 @ X113))|(iequiv @ X111 @ X112 @ X113)))&((X111 @ X117)|~(irel @ X113 @ X117)|(irel @ X113 @ (esk8_3 @ X111 @ X112 @ X113))|(iequiv @ X111 @ X112 @ X113))))&(((~(X112 @ (esk9_3 @ X111 @ X112 @ X113))|((X112 @ X115)|~(irel @ X113 @ X115))|(iequiv @ X111 @ X112 @ X113))&((irel @ X113 @ (esk9_3 @ X111 @ X112 @ X113))|((X112 @ X115)|~(irel @ X113 @ X115))|(iequiv @ X111 @ X112 @ X113)))&((X111 @ X117)|~(irel @ X113 @ X117)|((X112 @ X115)|~(irel @ X113 @ X115))|(iequiv @ X111 @ X112 @ X113))))))&((~(ivalid @ X118)|(X118 @ X119))&(~(X120 @ (esk10_1 @ X120))|(ivalid @ X120))))&((~(isatisfiable @ X122)|(X122 @ (esk11_1 @ X122)))&(~(X124 @ X125)|(isatisfiable @ X124))))&((~(icountersatisfiable @ X126)|~(X126 @ (esk12_1 @ X126)))&((X128 @ X129)|(icountersatisfiable @ X128))))&((~(iinvalid @ X130)|~(X130 @ X131))&((X132 @ (esk13_1 @ X132))|(iinvalid @ X132))))&(irel @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0)))&(itrue @ (d2unsorted @ d_unsorted_0)))&~(ifalse @ (d2unsorted @ d_unsorted_0)))&((((irel @ X136 @ (esk14_3 @ X134 @ X135 @ X136))|~(ixor @ X134 @ X135 @ X136))&((((((irel @ (esk14_3 @ X134 @ X135 @ X136) @ (esk16_3 @ X134 @ X135 @ X136))|(~(irel @ (esk14_3 @ X134 @ X135 @ X136) @ X139)|(X135 @ X139))|~(ixor @ X134 @ X135 @ X136))&(~(X135 @ (esk16_3 @ X134 @ X135 @ X136))|(~(irel @ (esk14_3 @ X134 @ X135 @ X136) @ X139)|(X135 @ X139))|~(ixor @ X134 @ X135 @ X136)))&((X134 @ X141)|~(irel @ (esk14_3 @ X134 @ X135 @ X136) @ X141)|(~(irel @ (esk14_3 @ X134 @ X135 @ X136) @ X139)|(X135 @ X139))|~(ixor @ X134 @ X135 @ X136)))&((((irel @ (esk14_3 @ X134 @ X135 @ X136) @ (esk16_3 @ X134 @ X135 @ X136))|~(X134 @ (esk15_3 @ X134 @ X135 @ X136))|~(ixor @ X134 @ X135 @ X136))&(~(X135 @ (esk16_3 @ X134 @ X135 @ X136))|~(X134 @ (esk15_3 @ X134 @ X135 @ X136))|~(ixor @ X134 @ X135 @ X136)))&((X134 @ X141)|~(irel @ (esk14_3 @ X134 @ X135 @ X136) @ X141)|~(X134 @ (esk15_3 @ X134 @ X135 @ X136))|~(ixor @ X134 @ X135 @ X136))))&((((irel @ (esk14_3 @ X134 @ X135 @ X136) @ (esk16_3 @ X134 @ X135 @ X136))|(irel @ (esk14_3 @ X134 @ X135 @ X136) @ (esk15_3 @ X134 @ X135 @ X136))|~(ixor @ X134 @ X135 @ X136))&(~(X135 @ (esk16_3 @ X134 @ X135 @ X136))|(irel @ (esk14_3 @ X134 @ X135 @ X136) @ (esk15_3 @ X134 @ X135 @ X136))|~(ixor @ X134 @ X135 @ X136)))&((X134 @ X141)|~(irel @ (esk14_3 @ X134 @ X135 @ X136) @ X141)|(irel @ (esk14_3 @ X134 @ X135 @ X136) @ (esk15_3 @ X134 @ X135 @ X136))|~(ixor @ X134 @ X135 @ X136)))))&((((irel @ X145 @ (esk17_5 @ X142 @ X143 @ X144 @ X145 @ X146))|(X142 @ X146)|~(irel @ X145 @ X146)|~(irel @ X144 @ X145)|(ixor @ X142 @ X143 @ X144))&(~(X143 @ (esk17_5 @ X142 @ X143 @ X144 @ X145 @ X146))|(X142 @ X146)|~(irel @ X145 @ X146)|~(irel @ X144 @ X145)|(ixor @ X142 @ X143 @ X144)))&((~(X142 @ (esk18_4 @ X142 @ X143 @ X144 @ X145))|(~(irel @ X145 @ X148)|(X143 @ X148))|~(irel @ X144 @ X145)|(ixor @ X142 @ X143 @ X144))&((irel @ X145 @ (esk18_4 @ X142 @ X143 @ X144 @ X145))|(~(irel @ X145 @ X148)|(X143 @ X148))|~(irel @ X144 @ X145)|(ixor @ X142 @ X143 @ X144))))))&(((~(X150 @ (esk19_3 @ X150 @ X151 @ X152))|(~(irel @ X152 @ X153)|(X151 @ X153))|~(iimplies @ X150 @ X151 @ X152))&((irel @ X152 @ (esk19_3 @ X150 @ X151 @ X152))|(~(irel @ X152 @ X153)|(X151 @ X153))|~(iimplies @ X150 @ X151 @ X152)))&((((irel @ X157 @ (esk20_3 @ X155 @ X156 @ X157))|(iimplies @ X155 @ X156 @ X157))&(~(X156 @ (esk20_3 @ X155 @ X156 @ X157))|(iimplies @ X155 @ X156 @ X157)))&((X155 @ X159)|~(irel @ X157 @ X159)|(iimplies @ X155 @ X156 @ X157)))))&((~(ior @ X160 @ X161 @ X162)|(~(irel @ X162 @ X163)|(X161 @ X163)|((X160 @ X164)|~(irel @ X162 @ X164))))&((((irel @ X167 @ (esk21_3 @ X165 @ X166 @ X167))|(ior @ X165 @ X166 @ X167))&(~(X166 @ (esk21_3 @ X165 @ X166 @ X167))|(ior @ X165 @ X166 @ X167)))&((~(X165 @ (esk22_3 @ X165 @ X166 @ X167))|(ior @ X165 @ X166 @ X167))&((irel @ X167 @ (esk22_3 @ X165 @ X166 @ X167))|(ior @ X165 @ X166 @ X167))))))&((((X170 @ X172)|~(mand @ X170 @ X171 @ X172))&((X171 @ X172)|~(mand @ X170 @ X171 @ X172)))&(~(X170 @ X172)|~(X171 @ X172)|(mand @ X170 @ X171 @ X172))))&((~(mor @ X173 @ X174 @ X175)|((X174 @ X175)|(X173 @ X175)))&((~(X174 @ X175)|(mor @ X173 @ X174 @ X175))&(~(X173 @ X175)|(mor @ X173 @ X174 @ X175)))))&((~(mnot @ X176 @ X177)|~(X176 @ X177))&((X176 @ X177)|(mnot @ X176 @ X177))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])])])). 16.26/3.82 thf(c_0_4, negated_conjecture, ~(((ixor)=(^[X8:$i > $o, X11:$i > $o]:(inot @ (iequiv @ X8 @ X11))))), inference(assume_negation,[status(cth)],[ixor])). 16.26/3.82 thf(c_0_5, plain, ![X1:$i]:(((X1)=(d2unsorted @ (esk1_1 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_3])). 16.26/3.82 thf(c_0_6, plain, ![X2:d_unsorted]:(((X2)=(d_unsorted_0))), inference(split_conjunct,[status(thm)],[c_0_3])). 16.26/3.82 thf(c_0_7, negated_conjecture, ~(![X67:$i > $o, X68:$i > $o]:(((ixor @ X67 @ X68)=(inot @ (iequiv @ X67 @ X68))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_4])])). 16.26/3.82 thf(c_0_8, plain, ![X1:$i]:(((d2unsorted @ d_unsorted_0)=(X1))), inference(rw,[status(thm)],[c_0_5, c_0_6])). 16.26/3.82 thf(c_0_9, negated_conjecture, ((ixor @ epred1_0 @ epred2_0)!=(inot @ (iequiv @ epred1_0 @ epred2_0))), inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])). 16.26/3.82 thf(c_0_10, plain, ![X5:$i > $o]:(((X5 @ (esk13_1 @ X5))|(iinvalid @ X5))), inference(split_conjunct,[status(thm)],[c_0_3])). 16.26/3.82 thf(c_0_11, plain, (irel @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0)), inference(split_conjunct,[status(thm)],[c_0_3])). 16.26/3.82 thf(c_0_12, plain, ![X1:$i]:(((esk23_0)=(X1))), inference(rw,[status(thm)],[c_0_8, c_0_8])). 16.26/3.82 thf(c_0_13, negated_conjecture, ((ixor @ epred1_0 @ epred2_0)!=(inot @ (iequiv @ epred1_0 @ epred2_0))), inference(split_conjunct,[status(thm)],[c_0_9])). 16.26/3.82 thf(c_0_14, plain, ![X5:$i > $o, X1:$i]:((~((iinvalid @ X5))|~((X5 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_3])). 16.26/3.82 thf(c_0_15, plain, ![X5:$i > $o]:(((X5 @ esk23_0)|(iinvalid @ X5))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_8]), c_0_8])). 16.26/3.82 thf(c_0_16, plain, (irel @ esk23_0 @ esk23_0), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_8]), c_0_8])). 16.26/3.82 thf(c_0_17, plain, ![X1:$i, X7:$i]:(((X1)=(X7))), inference(spm,[status(thm)],[c_0_12, c_0_12])). 16.26/3.82 thf(c_0_18, plain, ![X5:$i > $o, X1:$i]:((~((X5 @ (esk3_2 @ X5 @ X1)))|~((inot @ X5 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_3])). 16.26/3.82 thf(c_0_19, negated_conjecture, ((inot @ (iequiv @ epred1_0 @ epred2_0) @ esk3_0)<~>(ixor @ epred1_0 @ epred2_0 @ esk3_0)), inference(neg_ext,[status(thm)],[c_0_13])). 16.26/3.82 thf(c_0_20, plain, ![X5:$i > $o, X1:$i]:(((X5 @ esk23_0)|~((X5 @ X1)))), inference(spm,[status(thm)],[c_0_14, c_0_15])). 16.26/3.82 thf(c_0_21, plain, ![X1:$i]:((irel @ X1 @ X1)), inference(spm,[status(thm)],[c_0_16, c_0_17])). 16.26/3.82 thf(c_0_22, plain, ![X5:$i > $o]:((~((icountersatisfiable @ X5))|~((X5 @ (esk12_1 @ X5))))), inference(split_conjunct,[status(thm)],[c_0_3])). 16.26/3.82 thf(c_0_23, plain, ![X1:$i, X5:$i > $o]:((~((inot @ X5 @ X1))|~((X5 @ esk23_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_8]), c_0_8])). 16.26/3.82 thf(c_0_24, negated_conjecture, ((inot @ (iequiv @ epred1_0 @ epred2_0) @ esk3_0)|(ixor @ epred1_0 @ epred2_0 @ esk3_0)), inference(dynamic_cnf,[status(thm)],[c_0_19])). 16.26/3.82 thf(c_0_25, plain, ![X6:$i > $o, X5:$i > $o, X1:$i, X9:$i, X7:$i]:(((X6 @ X9)|(ixor @ X5 @ X6 @ X1)|~((X5 @ (esk18_4 @ X5 @ X6 @ X1 @ X7)))|~((irel @ X7 @ X9))|~((irel @ X1 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_3])). 16.26/3.82 thf(c_0_26, plain, ![X1:$i]:((irel @ X1 @ esk23_0)), inference(spm,[status(thm)],[c_0_20, c_0_21])). 16.26/3.82 thf(c_0_27, plain, ![X5:$i > $o]:((~((icountersatisfiable @ X5))|~((X5 @ esk23_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_8]), c_0_8])). 16.26/3.82 thf(c_0_28, plain, ![X1:$i, X5:$i > $o]:(((X5 @ X1)|(icountersatisfiable @ X5))), inference(split_conjunct,[status(thm)],[c_0_3])). 16.26/3.82 thf(c_0_29, negated_conjecture, ((ixor @ epred1_0 @ epred2_0 @ esk3_0)|~((iequiv @ epred1_0 @ epred2_0 @ esk23_0))), inference(spm,[status(thm)],[c_0_23, c_0_24])). 16.26/3.82 thf(c_0_30, plain, ![X6:$i > $o, X5:$i > $o, X1:$i]:(((iequiv @ X6 @ X5 @ X1)|~((X5 @ (esk9_3 @ X6 @ X5 @ X1)))|~((X6 @ (esk8_3 @ X6 @ X5 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_3])). 16.26/3.82 thf(c_0_31, plain, ![X1:$i, X7:$i, X9:$i, X6:$i > $o, X5:$i > $o]:(((ixor @ X5 @ X6 @ X1)|(X6 @ X7)|~((irel @ X9 @ X7))|~((irel @ X1 @ X9))|~((X5 @ esk23_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_8]), c_0_8])). 16.26/3.82 thf(c_0_32, plain, ![X1:$i, X7:$i]:((irel @ X1 @ X7)), inference(spm,[status(thm)],[c_0_26, c_0_17])). 16.26/3.82 thf(c_0_33, negated_conjecture, (~((inot @ (iequiv @ epred1_0 @ epred2_0) @ esk3_0))|~((ixor @ epred1_0 @ epred2_0 @ esk3_0))), inference(dynamic_cnf,[status(thm)],[c_0_19])). 16.26/3.82 thf(c_0_34, plain, ![X1:$i, X5:$i > $o, X7:$i]:(((X5 @ X7)|(inot @ X5 @ X1)|~((irel @ X1 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_3])). 16.26/3.82 thf(c_0_35, plain, ![X1:$i, X5:$i > $o]:(((X5 @ X1)|~((X5 @ esk23_0)))), inference(spm,[status(thm)],[c_0_27, c_0_28])). 16.26/3.82 thf(c_0_36, negated_conjecture, ![X1:$i]:(((ixor @ epred1_0 @ epred2_0 @ esk3_0)|~((iequiv @ epred1_0 @ epred2_0 @ X1)))), inference(spm,[status(thm)],[c_0_29, c_0_17])). 16.26/3.82 thf(c_0_37, plain, ![X1:$i, X5:$i > $o, X6:$i > $o]:(((iequiv @ X5 @ X6 @ X1)|~((X5 @ esk23_0))|~((X6 @ esk23_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_8]), c_0_8]), c_0_8]), c_0_8])). 16.26/3.82 thf(c_0_38, plain, ![X1:$i, X7:$i, X6:$i > $o, X5:$i > $o]:(((ixor @ X5 @ X6 @ X1)|(X6 @ X7)|~((X5 @ esk23_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31, c_0_32]), c_0_32])])). 16.26/3.82 thf(c_0_39, plain, ![X6:$i > $o, X5:$i > $o, X1:$i]:((~((X5 @ (esk16_3 @ X6 @ X5 @ X1)))|~((X6 @ (esk15_3 @ X6 @ X5 @ X1)))|~((ixor @ X6 @ X5 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_3])). 16.26/3.82 thf(c_0_40, plain, ![X7:$i, X6:$i > $o, X5:$i > $o, X1:$i]:(((X6 @ X7)|~((X5 @ (esk7_3 @ X5 @ X6 @ X1)))|~((irel @ X1 @ X7))|~((iequiv @ X5 @ X6 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_3])). 16.26/3.82 thf(c_0_41, negated_conjecture, ![X1:$i]:((~((inot @ (iequiv @ epred1_0 @ epred2_0) @ X1))|~((ixor @ epred1_0 @ epred2_0 @ X1)))), inference(spm,[status(thm)],[c_0_33, c_0_17])). 16.26/3.82 thf(c_0_42, plain, ![X1:$i, X5:$i > $o, X7:$i]:(((inot @ X5 @ X1)|(X5 @ X7))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_32])])). 16.26/3.82 thf(c_0_43, plain, ![X1:$i, X5:$i > $o, X7:$i]:(((X5 @ X1)|~((X5 @ X7)))), inference(spm,[status(thm)],[c_0_35, c_0_17])). 16.26/3.82 thf(c_0_44, negated_conjecture, ((ixor @ epred1_0 @ epred2_0 @ esk3_0)|~((epred1_0 @ esk23_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_38])). 16.26/3.82 thf(c_0_45, plain, ![X1:$i, X5:$i > $o, X6:$i > $o]:((~((ixor @ X5 @ X6 @ X1))|~((X5 @ esk23_0))|~((X6 @ esk23_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_8]), c_0_8]), c_0_8]), c_0_8])). 16.26/3.82 thf(c_0_46, plain, ![X5:$i > $o, X1:$i, X7:$i, X6:$i > $o]:(((X5 @ X1)|~((iequiv @ X6 @ X5 @ X7))|~((irel @ X7 @ X1))|~((X6 @ esk23_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40, c_0_8]), c_0_8])). 16.26/3.82 thf(c_0_47, negated_conjecture, ![X1:$i, X7:$i]:(((iequiv @ epred1_0 @ epred2_0 @ X1)|~((ixor @ epred1_0 @ epred2_0 @ X7)))), inference(spm,[status(thm)],[c_0_41, c_0_42])). 16.26/3.82 thf(c_0_48, negated_conjecture, ![X1:$i]:(((ixor @ epred1_0 @ epred2_0 @ X1)|~((epred1_0 @ esk23_0)))), inference(spm,[status(thm)],[c_0_43, c_0_44])). 16.26/3.82 thf(c_0_49, negated_conjecture, (~((epred1_0 @ esk23_0))|~((epred2_0 @ esk23_0))), inference(spm,[status(thm)],[c_0_45, c_0_44])). 16.26/3.82 thf(c_0_50, plain, ![X1:$i, X5:$i > $o, X7:$i, X6:$i > $o]:(((X5 @ X1)|~((iequiv @ X6 @ X5 @ X7))|~((X6 @ esk23_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46, c_0_32])])). 16.26/3.82 thf(c_0_51, negated_conjecture, ![X1:$i]:(((iequiv @ epred1_0 @ epred2_0 @ X1)|~((epred1_0 @ esk23_0)))), inference(spm,[status(thm)],[c_0_47, c_0_48])). 16.26/3.82 thf(c_0_52, plain, ![X1:$i, X5:$i > $o, X7:$i]:(((X5 @ X7)|~((mbox_s4 @ X5 @ X1))|~((irel @ X1 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_3])). 16.26/3.82 thf(c_0_53, plain, ![X5:$i > $o, X1:$i, X6:$i > $o, X7:$i, X9:$i]:(((X5 @ X1)|(X6 @ X9)|(iequiv @ X5 @ X6 @ X7)|~((irel @ X7 @ X1))|~((irel @ X7 @ X9)))), inference(split_conjunct,[status(thm)],[c_0_3])). 16.26/3.82 thf(c_0_54, negated_conjecture, ![X1:$i]:((~((epred1_0 @ X1))|~((epred2_0 @ X1)))), inference(spm,[status(thm)],[c_0_49, c_0_17])). 16.26/3.82 thf(c_0_55, negated_conjecture, ![X1:$i]:(((epred2_0 @ X1)|~((epred1_0 @ esk23_0)))), inference(spm,[status(thm)],[c_0_50, c_0_51])). 16.26/3.82 thf(c_0_56, plain, ![X1:$i, X5:$i > $o, X7:$i]:(((X5 @ X1)|~((mbox_s4 @ X5 @ X7)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52, c_0_32])])). 16.26/3.82 thf(c_0_57, plain, ![X5:$i > $o, X1:$i]:(((isatisfiable @ X5)|~((X5 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_3])). 16.26/3.82 thf(c_0_58, plain, ![X1:$i, X5:$i > $o, X6:$i > $o, X7:$i, X9:$i]:(((iequiv @ X5 @ X6 @ X1)|(X6 @ X7)|(X5 @ X9))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53, c_0_32]), c_0_32])])). 16.26/3.82 thf(c_0_59, negated_conjecture, ~((epred1_0 @ esk23_0)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_55]), c_0_43])). 16.26/3.82 thf(c_0_60, plain, ![X5:$i > $o, X1:$i]:(((icountersatisfiable @ (mbox_s4 @ X5))|(X5 @ X1))), inference(spm,[status(thm)],[c_0_56, c_0_28])). 16.26/3.82 thf(c_0_61, plain, ![X1:$i, X5:$i > $o, X6:$i > $o, X9:$i, X7:$i]:(((X5 @ X1)|(X6 @ X9)|~((irel @ (esk14_3 @ X5 @ X6 @ X7) @ X1))|~((irel @ (esk14_3 @ X5 @ X6 @ X7) @ X9))|~((ixor @ X5 @ X6 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_3])). 16.26/3.82 thf(c_0_62, plain, ![X5:$i > $o]:(((X5 @ (esk11_1 @ X5))|~((isatisfiable @ X5)))), inference(split_conjunct,[status(thm)],[c_0_3])). 16.26/3.82 thf(c_0_63, plain, ![X1:$i, X5:$i > $o, X6:$i > $o, X7:$i]:(((iequiv @ X5 @ X6 @ X1)|(isatisfiable @ X6)|(X5 @ X7))), inference(spm,[status(thm)],[c_0_57, c_0_58])). 16.26/3.82 thf(c_0_64, negated_conjecture, ![X1:$i]:(~((epred1_0 @ X1))), inference(spm,[status(thm)],[c_0_59, c_0_17])). 16.26/3.82 thf(c_0_65, plain, ![X5:$i > $o]:(((icountersatisfiable @ (mbox_s4 @ (inot @ X5)))|~((X5 @ esk23_0)))), inference(spm,[status(thm)],[c_0_23, c_0_60])). 16.26/3.82 thf(c_0_66, plain, ![X5:$i > $o, X9:$i, X7:$i, X6:$i > $o, X1:$i]:(((X5 @ X1)|(X6 @ X7)|~((ixor @ X5 @ X6 @ X9))|~((irel @ esk23_0 @ X7))|~((irel @ esk23_0 @ X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61, c_0_8]), c_0_8]), c_0_8]), c_0_8])). 16.26/3.82 thf(c_0_67, plain, ![X5:$i > $o]:(((X5 @ esk23_0)|~((isatisfiable @ X5)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62, c_0_8]), c_0_8])). 16.26/3.82 thf(c_0_68, negated_conjecture, ((ixor @ epred1_0 @ epred2_0 @ esk3_0)|(isatisfiable @ epred2_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_63]), c_0_64])). 16.26/3.82 thf(c_0_69, plain, ![X6:$i > $o, X5:$i > $o, X1:$i, X9:$i, X7:$i]:(((X6 @ X9)|(ixor @ X6 @ X5 @ X1)|~((X5 @ (esk17_5 @ X6 @ X5 @ X1 @ X7 @ X9)))|~((irel @ X7 @ X9))|~((irel @ X1 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_3])). 16.26/3.82 thf(c_0_70, plain, ![X5:$i > $o]:((~((mbox_s4 @ (inot @ X5) @ esk23_0))|~((X5 @ esk23_0)))), inference(spm,[status(thm)],[c_0_27, c_0_65])). 16.26/3.82 thf(c_0_71, plain, ![X5:$i > $o, X1:$i]:(((mbox_s4 @ X5 @ X1)|~((X5 @ (esk2_2 @ X5 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_3])). 16.26/3.82 thf(c_0_72, plain, ![X7:$i, X6:$i > $o, X5:$i > $o, X1:$i]:(((X6 @ X7)|~((X5 @ (esk6_3 @ X6 @ X5 @ X1)))|~((irel @ X1 @ X7))|~((iequiv @ X6 @ X5 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_3])). 16.26/3.82 thf(c_0_73, plain, ![X1:$i, X5:$i > $o, X6:$i > $o, X7:$i, X9:$i]:(((X5 @ X1)|(X6 @ X7)|~((ixor @ X6 @ X5 @ X9)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66, c_0_32]), c_0_32])])). 16.26/3.82 thf(c_0_74, negated_conjecture, ((ixor @ epred1_0 @ epred2_0 @ esk3_0)|(epred2_0 @ esk23_0)), inference(spm,[status(thm)],[c_0_67, c_0_68])). 16.26/3.82 thf(c_0_75, plain, ![X5:$i > $o, X1:$i, X7:$i, X9:$i, X6:$i > $o]:(((ixor @ X5 @ X6 @ X1)|(X5 @ X7)|~((irel @ X9 @ X7))|~((irel @ X1 @ X9))|~((X6 @ esk23_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69, c_0_8]), c_0_8])). 16.26/3.82 thf(c_0_76, plain, ![X5:$i > $o, X1:$i]:((~((mbox_s4 @ (inot @ X5) @ X1))|~((X5 @ X1)))), inference(spm,[status(thm)],[c_0_70, c_0_17])). 16.26/3.82 thf(c_0_77, plain, ![X1:$i, X5:$i > $o]:(((mbox_s4 @ X5 @ X1)|~((X5 @ esk23_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71, c_0_8]), c_0_8])). 16.26/3.82 thf(c_0_78, plain, ![X5:$i > $o, X1:$i, X7:$i, X6:$i > $o]:(((X5 @ X1)|~((iequiv @ X5 @ X6 @ X7))|~((irel @ X7 @ X1))|~((X6 @ esk23_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72, c_0_8]), c_0_8])). 16.26/3.82 thf(c_0_79, negated_conjecture, (epred2_0 @ esk23_0), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_74]), c_0_64]), c_0_43])). 16.26/3.82 thf(c_0_80, plain, ![X1:$i, X5:$i > $o, X7:$i, X6:$i > $o]:(((ixor @ X5 @ X6 @ X1)|(X5 @ X7)|~((X6 @ esk23_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75, c_0_32]), c_0_32])])). 16.26/3.82 thf(c_0_81, plain, ![X5:$i > $o, X1:$i]:((~((inot @ X5 @ esk23_0))|~((X5 @ X1)))), inference(spm,[status(thm)],[c_0_76, c_0_77])). 16.26/3.82 thf(c_0_82, plain, ![X1:$i, X5:$i > $o, X7:$i, X6:$i > $o]:(((X5 @ X1)|~((iequiv @ X5 @ X6 @ X7))|~((X6 @ esk23_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78, c_0_32])])). 16.26/3.82 thf(c_0_83, negated_conjecture, ![X1:$i, X7:$i]:(((inot @ (ixor @ epred1_0 @ epred2_0) @ X1)|(iequiv @ epred1_0 @ epred2_0 @ X7))), inference(spm,[status(thm)],[c_0_47, c_0_42])). 16.26/3.82 thf(c_0_84, negated_conjecture, ![X1:$i]:((epred2_0 @ X1)), inference(spm,[status(thm)],[c_0_43, c_0_79])). 16.26/3.82 thf(c_0_85, plain, ![X1:$i, X5:$i > $o, X6:$i > $o, X7:$i, X9:$i]:(((ixor @ X5 @ X6 @ X1)|(X5 @ X7)|~((X6 @ X9)))), inference(spm,[status(thm)],[c_0_80, c_0_17])). 16.26/3.82 thf(c_0_86, plain, ![X1:$i, X5:$i > $o, X7:$i]:((~((inot @ X5 @ X1))|~((X5 @ X7)))), inference(spm,[status(thm)],[c_0_81, c_0_17])). 16.26/3.82 thf(c_0_87, negated_conjecture, ![X1:$i]:((inot @ (ixor @ epred1_0 @ epred2_0) @ X1)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82, c_0_83]), c_0_84])]), c_0_64])). 16.26/3.82 thf(c_0_88, negated_conjecture, ![X1:$i, X5:$i > $o, X7:$i]:(((ixor @ X5 @ epred2_0 @ X1)|(X5 @ X7))), inference(spm,[status(thm)],[c_0_85, c_0_84])). 16.26/3.82 thf(c_0_89, negated_conjecture, ![X1:$i]:(~((ixor @ epred1_0 @ epred2_0 @ X1))), inference(spm,[status(thm)],[c_0_86, c_0_87])). 16.26/3.82 thf(c_0_90, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_88]), c_0_89]), ['proof']). 16.26/3.82 % SZS output end CNFRefutation 16.26/3.82 % Parsed axioms : 26 16.26/3.82 % Removed by relevancy pruning/SinE : 0 16.26/3.82 % Initial clauses : 103 16.26/3.82 % Removed in clause preprocessing : 24 16.26/3.82 % Initial clauses in saturation : 79 16.26/3.82 % Processed clauses : 2196 16.26/3.82 % ...of these trivial : 239 16.26/3.82 % ...subsumed : 555 16.26/3.82 % ...remaining for further processing : 1402 16.26/3.82 % Other redundant clauses eliminated : 0 16.26/3.82 % Clauses deleted for lack of memory : 0 16.26/3.82 % Backward-subsumed : 233 16.26/3.82 % Backward-rewritten : 24 16.26/3.82 % Generated clauses : 124785 16.26/3.82 % ...of the previous two non-redundant : 122619 16.26/3.82 % ...aggressively subsumed : 0 16.26/3.82 % Contextual simplify-reflections : 4 16.26/3.82 % Paramodulations : 124665 16.26/3.82 % Factorizations : 112 16.26/3.82 % NegExts : 1 16.26/3.82 % Equation resolutions : 0 16.26/3.82 % Disequality decompositions : 0 16.26/3.82 % Total rewrite steps : 2133 16.26/3.82 % ...of those cached : 1322 16.26/3.82 % Propositional unsat checks : 0 16.26/3.82 % Propositional check models : 0 16.26/3.82 % Propositional check unsatisfiable : 0 16.26/3.82 % Propositional clauses : 0 16.26/3.82 % Propositional clauses after purity: 0 16.26/3.82 % Propositional unsat core size : 0 16.26/3.82 % Propositional preprocessing time : 0.000 16.26/3.82 % Propositional encoding time : 0.000 16.26/3.82 % Propositional solver time : 0.000 16.26/3.82 % Success case prop preproc time : 0.000 16.26/3.82 % Success case prop encoding time : 0.000 16.26/3.82 % Success case prop solver time : 0.000 16.26/3.82 % Current number of processed clauses : 1075 16.26/3.82 % Positive orientable unit clauses : 517 16.26/3.82 % Positive unorientable unit clauses: 2 16.26/3.82 % Negative unit clauses : 140 16.26/3.82 % Non-unit-clauses : 416 16.26/3.82 % Current number of unprocessed clauses: 120081 16.26/3.82 % ...number of literals in the above : 251818 16.26/3.82 % Current number of archived formulas : 0 16.26/3.82 % Current number of archived clauses : 327 16.26/3.82 % Clause-clause subsumption calls (NU) : 49519 16.26/3.82 % Rec. Clause-clause subsumption calls : 37430 16.26/3.82 % Non-unit clause-clause subsumptions : 280 16.26/3.82 % Unit Clause-clause subsumption calls : 37454 16.26/3.82 % Rewrite failures with RHS unbound : 0 16.26/3.82 % BW rewrite match attempts : 1983 16.26/3.82 % BW rewrite match successes : 26 16.26/3.82 % Condensation attempts : 0 16.26/3.82 % Condensation successes : 0 16.26/3.82 % Termbank termtop insertions : 1259632 16.26/3.82 % Search garbage collected termcells : 2226 16.26/3.82 16.26/3.82 % ------------------------------------------------- 16.26/3.82 % User time : 2.994 s 16.26/3.82 % System time : 0.159 s 16.26/3.82 % Total time : 3.153 s 16.26/3.82 % Maximum resident set size: 4188 pages 16.26/3.82 16.26/3.82 % ------------------------------------------------- 16.26/3.82 % User time : 12.138 s 16.26/3.82 % System time : 0.596 s 16.26/3.82 % Total time : 12.734 s 16.26/3.82 % Maximum resident set size: 4864 pages 16.26/3.82 % E exiting 16.26/3.82 EOF