0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.12/0.38 % Computer : n010.cluster.edu 0.12/0.38 % Model : x86_64 x86_64 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.38 % Memory : 8046.5625MB 0.12/0.38 % OS : Linux 6.8.0-71-generic 0.12/0.38 % CPULimit : 1440 0.12/0.38 % WCLimit : 180 0.12/0.38 % DateTime : Mon Jul 27 12:45:19 UTC 2026 0.12/0.38 % CPUTime : 0.12/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.12/0.42 Running higher-order theorem proving 0.12/0.44 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.jl9tD6Hrlr/E---3.1_1114776.p 17.32/4.01 % Version: 3.5.1-ho 17.32/4.01 % Preprocessing class: HSMSSMSSSSSNHHN. 17.32/4.01 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 17.32/4.01 % Starting new_ho_12 with 720s (4) cores 17.32/4.01 % Starting sh3l with 360s (2) cores 17.32/4.01 % Starting ehoh_best5_lambda with 180s (1) cores 17.32/4.01 % Starting lpo9_lambda_fix with 180s (1) cores 17.32/4.01 % sh3l with pid 1114790 completed with status 9 17.32/4.01 % new_ho_12 with pid 1114789 completed with status 0 17.32/4.01 % Result found by new_ho_12 17.32/4.01 % Preprocessing class: HSMSSMSSSSSNHHN. 17.32/4.01 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 17.32/4.01 % Starting new_ho_12 with 720s (4) cores 17.32/4.01 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 17.32/4.01 % No SInE strategy applied 17.32/4.01 % Search class: HGHSS-FFMF32-SHHFFMBN 17.32/4.01 % partial match(2): HGHNF-FFMF32-SHHFFMBN 17.32/4.01 % Scheduled 7 strats onto 4 cores with 720 seconds (720 total) 17.32/4.01 % Starting SubtermCWHack with 65s (1) cores 17.32/4.01 % Starting new_ho_12 with 73s (1) cores 17.32/4.01 % Starting ehoh_best_sine_rwall with 109s (1) cores 17.32/4.01 % Starting lpo1_def_fix with 109s (1) cores 17.32/4.01 % new_ho_12 with pid 1114800 completed with status 0 17.32/4.02 % Result found by new_ho_12 17.32/4.02 % Preprocessing class: HSMSSMSSSSSNHHN. 17.32/4.02 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 17.32/4.02 % Starting new_ho_12 with 720s (4) cores 17.32/4.02 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto) 17.32/4.02 % No SInE strategy applied 17.32/4.02 % Search class: HGHSS-FFMF32-SHHFFMBN 17.32/4.02 % partial match(2): HGHNF-FFMF32-SHHFFMBN 17.32/4.02 % Scheduled 7 strats onto 4 cores with 720 seconds (720 total) 17.32/4.02 % Starting SubtermCWHack with 65s (1) cores 17.32/4.02 % Starting new_ho_12 with 73s (1) cores 17.32/4.02 % Preprocessing time : 0.003 s 17.32/4.02 % Presaturation interreduction done 17.32/4.02 17.32/4.02 % Proof found! 17.32/4.02 % SZS status Theorem 17.32/4.02 % SZS output start CNFRefutation 17.32/4.02 thf(decl_sort1, type, d_unsorted: $tType). 17.32/4.02 thf(decl_23, type, irel: $i > $i > $o). 17.32/4.02 thf(decl_24, type, mnot: ($i > $o) > $i > $o). 17.32/4.02 thf(decl_25, type, mor: ($i > $o) > ($i > $o) > $i > $o). 17.32/4.02 thf(decl_26, type, mand: ($i > $o) > ($i > $o) > $i > $o). 17.32/4.02 thf(decl_27, type, mimplies: ($i > $o) > ($i > $o) > $i > $o). 17.32/4.02 thf(decl_28, type, mbox_s4: ($i > $o) > $i > $o). 17.32/4.02 thf(decl_29, type, iatom: ($i > $o) > $i > $o). 17.32/4.02 thf(decl_30, type, inot: ($i > $o) > $i > $o). 17.32/4.02 thf(decl_31, type, itrue: $i > $o). 17.32/4.02 thf(decl_32, type, ifalse: $i > $o). 17.32/4.02 thf(decl_33, type, iand: ($i > $o) > ($i > $o) > $i > $o). 17.32/4.02 thf(decl_34, type, ior: ($i > $o) > ($i > $o) > $i > $o). 17.32/4.02 thf(decl_35, type, iimplies: ($i > $o) > ($i > $o) > $i > $o). 17.32/4.02 thf(decl_36, type, iimplied: ($i > $o) > ($i > $o) > $i > $o). 17.32/4.02 thf(decl_37, type, iequiv: ($i > $o) > ($i > $o) > $i > $o). 17.32/4.02 thf(decl_38, type, ixor: ($i > $o) > ($i > $o) > $i > $o). 17.32/4.02 thf(decl_39, type, ivalid: ($i > $o) > $o). 17.32/4.02 thf(decl_40, type, isatisfiable: ($i > $o) > $o). 17.32/4.02 thf(decl_41, type, icountersatisfiable: ($i > $o) > $o). 17.32/4.02 thf(decl_42, type, iinvalid: ($i > $o) > $o). 17.32/4.02 thf(decl_43, type, d2unsorted: d_unsorted > $i). 17.32/4.02 thf(decl_44, type, d_unsorted_0: d_unsorted). 17.32/4.02 thf(decl_45, type, epred1_0: $i > $o). 17.32/4.02 thf(decl_46, type, epred2_0: $i > $o). 17.32/4.02 thf(decl_47, type, esk1_2: ($i > $o) > $i > $i). 17.32/4.02 thf(decl_48, type, esk2_3: ($i > $o) > ($i > $o) > $i > $i). 17.32/4.02 thf(decl_49, type, esk3_3: ($i > $o) > ($i > $o) > $i > $i). 17.32/4.02 thf(decl_50, type, esk4_3: ($i > $o) > ($i > $o) > $i > $i). 17.32/4.02 thf(decl_51, type, esk5_3: ($i > $o) > ($i > $o) > $i > $i). 17.32/4.02 thf(decl_52, type, esk6_1: ($i > $o) > $i). 17.32/4.02 thf(decl_53, type, esk7_1: ($i > $o) > $i). 17.32/4.02 thf(decl_54, type, esk8_1: ($i > $o) > $i). 17.32/4.02 thf(decl_55, type, esk9_1: ($i > $o) > $i). 17.32/4.02 thf(decl_56, type, esk10_3: ($i > $o) > ($i > $o) > $i > $i). 17.32/4.02 thf(decl_57, type, esk11_3: ($i > $o) > ($i > $o) > $i > $i). 17.32/4.02 thf(decl_58, type, esk12_3: ($i > $o) > ($i > $o) > $i > $i). 17.32/4.02 thf(decl_59, type, esk13_3: ($i > $o) > ($i > $o) > $i > $i). 17.32/4.02 thf(decl_60, type, esk14_3: ($i > $o) > ($i > $o) > $i > $i). 17.32/4.02 thf(decl_61, type, esk15_6: ($i > $o) > ($i > $o) > $i > $i > $i > $i > $i). 17.32/4.02 thf(decl_62, type, esk16_5: ($i > $o) > ($i > $o) > $i > $i > $i > $i). 17.32/4.02 thf(decl_63, type, esk17_4: ($i > $o) > ($i > $o) > $i > $i > $i). 17.32/4.02 thf(decl_64, type, esk18_5: ($i > $o) > ($i > $o) > $i > $i > $i > $i). 17.32/4.02 thf(decl_65, type, esk19_3: ($i > $o) > ($i > $o) > $i > $i). 17.32/4.02 thf(decl_66, type, esk20_3: ($i > $o) > ($i > $o) > $i > $i). 17.32/4.02 thf(decl_67, type, esk21_3: ($i > $o) > ($i > $o) > $i > $i). 17.32/4.02 thf(decl_68, type, esk22_3: ($i > $o) > ($i > $o) > $i > $i). 17.32/4.02 thf(decl_69, type, esk23_3: ($i > $o) > ($i > $o) > $i > $i). 17.32/4.02 thf(decl_70, type, esk24_3: ($i > $o) > ($i > $o) > $i > $i). 17.32/4.02 thf(decl_71, type, esk25_3: ($i > $o) > ($i > $o) > $i > $i). 17.32/4.02 thf(decl_72, type, esk26_3: ($i > $o) > ($i > $o) > $i > $i). 17.32/4.02 thf(decl_73, type, esk27_2: ($i > $o) > $i > $i). 17.32/4.02 thf(decl_74, type, esk28_1: $i > d_unsorted). 17.32/4.02 thf(decl_75, type, esk29_0: $i). 17.32/4.02 thf(decl_76, type, esk3_0: $i). 17.32/4.02 thf(lcl696_1, axiom, ((((((((((((((((((((((![X3:d_unsorted]:(((X3)=(d_unsorted_0)))&![X4:d_unsorted, X5:d_unsorted]:((((X4)=(X5))<=((d2unsorted @ X4)=(d2unsorted @ X5)))))&((mnot)=(^[X6:$i > $o, X7:$i]:(~((X6 @ X7))))))&((mand)=(^[X6:$i > $o, X8:$i > $o, X7:$i]:((((X6 @ X7))&((X8 @ X7)))))))&((mimplies)=(^[X9:$i > $o, X10:$i > $o, X11:$i]:(((~((X9 @ X11)))|((X10 @ X11)))))))&((mbox_s4)=(^[X1:$i > $o, X12:$i]:(![X13:$i]:((((X1 @ X13))|(~((irel @ X12 @ X13)))))))))&((iatom)=(^[X1:$i > $o, X11:$i]:((X1 @ X11)))))&((ior)=(^[X1:$i > $o, X2:$i > $o, X11:$i]:(((![X14:$i]:(((~((irel @ X11 @ X14)))|((X2 @ X14)))))|(![X15:$i]:((((X1 @ X15))|(~((irel @ X11 @ X15)))))))))))&((iimplied)=(^[X1:$i > $o, X2:$i > $o, X11:$i]:(((![X16:$i]:((((X1 @ X16))|(~((irel @ X11 @ X16))))))|(~(![X17:$i]:(((~((irel @ X11 @ X17)))|((X2 @ X17)))))))))))&((iinvalid)=(^[X18:$i > $o]:(![X19:$i]:(~((X18 @ X19)))))))&(irel @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0)))&(itrue @ (d2unsorted @ d_unsorted_0)))&~((ifalse @ (d2unsorted @ d_unsorted_0))))&((icountersatisfiable)=(^[X18:$i > $o]:(~(![X19:$i]:((X18 @ X19)))))))&((isatisfiable)=(^[X18:$i > $o]:(~(![X19:$i]:(~((X18 @ X19))))))))&((ivalid)=(^[X18:$i > $o]:(![X19:$i]:((X18 @ X19))))))&((ixor)=(^[X1:$i > $o, X2:$i > $o, X11:$i]:(~(![X20:$i, X21:$i, X22:$i, X23:$i, X24:$i]:(((((((((((~(![X25:$i]:((((X1 @ X25))|(~((irel @ X21 @ X25)))))))|(~((irel @ X21 @ X22)))))|((X2 @ X22))))|(~((irel @ X20 @ X21)))))&(((((((~((irel @ X20 @ X23)))|((X1 @ X24))))|(~((irel @ X23 @ X24)))))|(~(![X26:$i]:(((~((irel @ X23 @ X26)))|((X2 @ X26))))))))))|(~((irel @ X11 @ X20))))))))))&((iequiv)=(^[X1:$i > $o, X2:$i > $o, X11:$i]:(((![X27:$i, X28:$i]:(((((((~((irel @ X11 @ X27)))|(~((irel @ X27 @ X28)))))|((X2 @ X28))))|(~(![X25:$i]:(((~((irel @ X27 @ X25)))|((X1 @ X25)))))))))&(![X29:$i, X30:$i]:(((((((~((irel @ X11 @ X29)))|(~(![X26:$i]:(((~((irel @ X29 @ X26)))|((X2 @ X26))))))))|((X1 @ X30))))|(~((irel @ X29 @ X30)))))))))))&((iimplies)=(^[X1:$i > $o, X2:$i > $o, X11:$i]:(((~(![X31:$i]:(((~((irel @ X11 @ X31)))|((X1 @ X31))))))|(![X32:$i]:(((~((irel @ X11 @ X32)))|((X2 @ X32))))))))))&((iand)=(^[X1:$i > $o, X2:$i > $o, X11:$i]:(((![X33:$i]:(((~((irel @ X11 @ X33)))|((X2 @ X33)))))&(![X34:$i]:((((X1 @ X34))|(~((irel @ X11 @ X34)))))))))))&((inot)=(^[X1:$i > $o, X11:$i]:(~(![X35:$i]:(((~((irel @ X11 @ X35)))|((X1 @ X35)))))))))&((mor)=(^[X6:$i > $o, X8:$i > $o, X7:$i]:((((X6 @ X7))|((X8 @ X7)))))))&![X7:$i]:(?[X3:d_unsorted]:(((X7)=(d2unsorted @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.jl9tD6Hrlr/E---3.1_1114776.p', lcl696_1)). 17.32/4.02 thf(ixor, conjecture, ((ixor)=(^[X1:$i > $o, X2:$i > $o]:(inot @ (iequiv @ X1 @ X2)))), file('/export/starexec/sandbox2/tmp/tmp.jl9tD6Hrlr/E---3.1_1114776.p', ixor)). 17.32/4.02 thf(c_0_2, plain, ((((((((((((((((((((((![X3:d_unsorted]:(((X3)=(d_unsorted_0)))&![X4:d_unsorted, X5:d_unsorted]:((((d2unsorted @ X4)=(d2unsorted @ X5))=>((X4)=(X5)))))&![X43:$i > $o, X44:$i]:(((mnot @ X43 @ X44)<=>~((X43 @ X44)))))&![X45:$i > $o, X46:$i > $o, X47:$i]:(((mand @ X45 @ X46 @ X47)<=>((X45 @ X47)&(X46 @ X47)))))&![X48:$i > $o, X49:$i > $o, X50:$i]:(((mimplies @ X48 @ X49 @ X50)<=>(~((X48 @ X50))|(X49 @ X50)))))&![X51:$i > $o, X52:$i]:(((mbox_s4 @ X51 @ X52)<=>![X13:$i]:(((X51 @ X13)|~(irel @ X52 @ X13))))))&![X53:$i > $o, X54:$i]:(((iatom @ X53 @ X54)<=>(X53 @ X54))))&![X55:$i > $o, X56:$i > $o, X57:$i]:(((ior @ X55 @ X56 @ X57)<=>(![X14:$i]:((~(irel @ X57 @ X14)|(X56 @ X14)))|![X15:$i]:(((X55 @ X15)|~(irel @ X57 @ X15)))))))&![X58:$i > $o, X59:$i > $o, X60:$i]:(((iimplied @ X58 @ X59 @ X60)<=>(![X16:$i]:(((X58 @ X16)|~(irel @ X60 @ X16)))|~(![X17:$i]:((~(irel @ X60 @ X17)|(X59 @ X17))))))))&![X61:$i > $o]:(((iinvalid @ X61)<=>![X19:$i]:(~((X61 @ X19))))))&(irel @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0)))&(itrue @ (d2unsorted @ d_unsorted_0)))&~(ifalse @ (d2unsorted @ d_unsorted_0)))&![X62:$i > $o]:(((icountersatisfiable @ X62)<=>~(![X19:$i]:((X62 @ X19))))))&![X63:$i > $o]:(((isatisfiable @ X63)<=>~(![X19:$i]:(~((X63 @ X19)))))))&![X64:$i > $o]:(((ivalid @ X64)<=>![X19:$i]:((X64 @ X19)))))&![X65:$i > $o, X66:$i > $o, X67:$i]:(((ixor @ X65 @ X66 @ X67)<=>~(![X20:$i, X21:$i, X22:$i, X23:$i, X24:$i]:((((~(![X25:$i]:(((X65 @ X25)|~(irel @ X21 @ X25))))|~(irel @ X21 @ X22)|(X66 @ X22)|~(irel @ X20 @ X21))&(~(irel @ X20 @ X23)|(X65 @ X24)|~(irel @ X23 @ X24)|~(![X26:$i]:((~(irel @ X23 @ X26)|(X66 @ X26))))))|~(irel @ X67 @ X20)))))))&![X68:$i > $o, X69:$i > $o, X70:$i]:(((iequiv @ X68 @ X69 @ X70)<=>(![X27:$i, X28:$i]:((~(irel @ X70 @ X27)|~(irel @ X27 @ X28)|(X69 @ X28)|~(![X25:$i]:((~(irel @ X27 @ X25)|(X68 @ X25))))))&![X29:$i, X30:$i]:((~(irel @ X70 @ X29)|~(![X26:$i]:((~(irel @ X29 @ X26)|(X69 @ X26))))|(X68 @ X30)|~(irel @ X29 @ X30)))))))&![X71:$i > $o, X72:$i > $o, X73:$i]:(((iimplies @ X71 @ X72 @ X73)<=>(~(![X31:$i]:((~(irel @ X73 @ X31)|(X71 @ X31))))|![X32:$i]:((~(irel @ X73 @ X32)|(X72 @ X32)))))))&![X74:$i > $o, X75:$i > $o, X76:$i]:(((iand @ X74 @ X75 @ X76)<=>(![X33:$i]:((~(irel @ X76 @ X33)|(X75 @ X33)))&![X34:$i]:(((X74 @ X34)|~(irel @ X76 @ X34)))))))&![X77:$i > $o, X78:$i]:(((inot @ X77 @ X78)<=>~(![X35:$i]:((~(irel @ X78 @ X35)|(X77 @ X35)))))))&![X79:$i > $o, X80:$i > $o, X81:$i]:(((mor @ X79 @ X80 @ X81)<=>((X79 @ X81)|(X80 @ X81)))))&![X7:$i]:(?[X3:d_unsorted]:(((X7)=(d2unsorted @ X3))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[lcl696_1])])])). 17.32/4.02 thf(c_0_3, plain, ![X84:d_unsorted, X85:d_unsorted, X86:d_unsorted, X87:$i > $o, X88:$i, X89:$i > $o, X90:$i > $o, X91:$i, X92:$i > $o, X93:$i > $o, X94:$i, X95:$i > $o, X96:$i, X97:$i, X98:$i > $o, X99:$i, X101:$i > $o, X102:$i, X103:$i > $o, X104:$i > $o, X105:$i, X106:$i, X107:$i, X108:$i > $o, X109:$i > $o, X110:$i, X113:$i > $o, X114:$i > $o, X115:$i, X116:$i, X118:$i > $o, X119:$i > $o, X120:$i, X122:$i, X123:$i > $o, X124:$i, X125:$i > $o, X127:$i > $o, X129:$i > $o, X130:$i, X131:$i > $o, X133:$i > $o, X134:$i, X135:$i > $o, X136:$i, X137:$i > $o, X139:$i > $o, X140:$i > $o, X141:$i, X145:$i, X148:$i, X149:$i > $o, X150:$i > $o, X151:$i, X152:$i, X153:$i, X154:$i, X156:$i, X157:$i, X159:$i > $o, X160:$i > $o, X161:$i, X162:$i, X163:$i, X165:$i, X166:$i, X168:$i > $o, X169:$i > $o, X170:$i, X173:$i, X176:$i, X177:$i > $o, X178:$i > $o, X179:$i, X181:$i, X182:$i > $o, X183:$i > $o, X184:$i, X185:$i, X187:$i > $o, X188:$i > $o, X189:$i, X190:$i, X191:$i, X192:$i > $o, X193:$i > $o, X194:$i, X197:$i > $o, X198:$i, X200:$i > $o, X201:$i, X202:$i, X203:$i > $o, X204:$i > $o, X205:$i, X206:$i]:(((((((((((((((((((((((((X84)=(d_unsorted_0))&(((d2unsorted @ X85)!=(d2unsorted @ X86))|((X85)=(X86))))&((~(mnot @ X87 @ X88)|~(X87 @ X88))&((X87 @ X88)|(mnot @ X87 @ X88))))&((((X89 @ X91)|~(mand @ X89 @ X90 @ X91))&((X90 @ X91)|~(mand @ X89 @ X90 @ X91)))&(~(X89 @ X91)|~(X90 @ X91)|(mand @ X89 @ X90 @ X91))))&((~(mimplies @ X92 @ X93 @ X94)|(~(X92 @ X94)|(X93 @ X94)))&(((X92 @ X94)|(mimplies @ X92 @ X93 @ X94))&(~(X93 @ X94)|(mimplies @ X92 @ X93 @ X94)))))&((~(mbox_s4 @ X95 @ X96)|((X95 @ X97)|~(irel @ X96 @ X97)))&((~(X98 @ (esk1_2 @ X98 @ X99))|(mbox_s4 @ X98 @ X99))&((irel @ X99 @ (esk1_2 @ X98 @ X99))|(mbox_s4 @ X98 @ X99)))))&((~(iatom @ X101 @ X102)|(X101 @ X102))&(~(X101 @ X102)|(iatom @ X101 @ X102))))&((~(ior @ X103 @ X104 @ X105)|(~(irel @ X105 @ X106)|(X104 @ X106)|((X103 @ X107)|~(irel @ X105 @ X107))))&((((irel @ X110 @ (esk2_3 @ X108 @ X109 @ X110))|(ior @ X108 @ X109 @ X110))&(~(X109 @ (esk2_3 @ X108 @ X109 @ X110))|(ior @ X108 @ X109 @ X110)))&((~(X108 @ (esk3_3 @ X108 @ X109 @ X110))|(ior @ X108 @ X109 @ X110))&((irel @ X110 @ (esk3_3 @ X108 @ X109 @ X110))|(ior @ X108 @ X109 @ X110))))))&((((irel @ X115 @ (esk4_3 @ X113 @ X114 @ X115))|((X113 @ X116)|~(irel @ X115 @ X116))|~(iimplied @ X113 @ X114 @ X115))&(~(X114 @ (esk4_3 @ X113 @ X114 @ X115))|((X113 @ X116)|~(irel @ X115 @ X116))|~(iimplied @ X113 @ X114 @ X115)))&(((~(X118 @ (esk5_3 @ X118 @ X119 @ X120))|(iimplied @ X118 @ X119 @ X120))&((irel @ X120 @ (esk5_3 @ X118 @ X119 @ X120))|(iimplied @ X118 @ X119 @ X120)))&(~(irel @ X120 @ X122)|(X119 @ X122)|(iimplied @ X118 @ X119 @ X120)))))&((~(iinvalid @ X123)|~(X123 @ X124))&((X125 @ (esk6_1 @ X125))|(iinvalid @ X125))))&(irel @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0)))&(itrue @ (d2unsorted @ d_unsorted_0)))&~(ifalse @ (d2unsorted @ d_unsorted_0)))&((~(icountersatisfiable @ X127)|~(X127 @ (esk7_1 @ X127)))&((X129 @ X130)|(icountersatisfiable @ X129))))&((~(isatisfiable @ X131)|(X131 @ (esk8_1 @ X131)))&(~(X133 @ X134)|(isatisfiable @ X133))))&((~(ivalid @ X135)|(X135 @ X136))&(~(X137 @ (esk9_1 @ X137))|(ivalid @ X137))))&((((((((((irel @ (esk10_3 @ X139 @ X140 @ X141) @ (esk13_3 @ X139 @ X140 @ X141))|((X139 @ X145)|~(irel @ (esk11_3 @ X139 @ X140 @ X141) @ X145))|~(ixor @ X139 @ X140 @ X141))&(~(X139 @ (esk14_3 @ X139 @ X140 @ X141))|((X139 @ X145)|~(irel @ (esk11_3 @ X139 @ X140 @ X141) @ X145))|~(ixor @ X139 @ X140 @ X141)))&((irel @ (esk13_3 @ X139 @ X140 @ X141) @ (esk14_3 @ X139 @ X140 @ X141))|((X139 @ X145)|~(irel @ (esk11_3 @ X139 @ X140 @ X141) @ X145))|~(ixor @ X139 @ X140 @ X141)))&(~(irel @ (esk13_3 @ X139 @ X140 @ X141) @ X148)|(X140 @ X148)|((X139 @ X145)|~(irel @ (esk11_3 @ X139 @ X140 @ X141) @ X145))|~(ixor @ X139 @ X140 @ X141)))&(((((irel @ (esk10_3 @ X139 @ X140 @ X141) @ (esk13_3 @ X139 @ X140 @ X141))|(irel @ (esk11_3 @ X139 @ X140 @ X141) @ (esk12_3 @ X139 @ X140 @ X141))|~(ixor @ X139 @ X140 @ X141))&(~(X139 @ (esk14_3 @ X139 @ X140 @ X141))|(irel @ (esk11_3 @ X139 @ X140 @ X141) @ (esk12_3 @ X139 @ X140 @ X141))|~(ixor @ X139 @ X140 @ X141)))&((irel @ (esk13_3 @ X139 @ X140 @ X141) @ (esk14_3 @ X139 @ X140 @ X141))|(irel @ (esk11_3 @ X139 @ X140 @ X141) @ (esk12_3 @ X139 @ X140 @ X141))|~(ixor @ X139 @ X140 @ X141)))&(~(irel @ (esk13_3 @ X139 @ X140 @ X141) @ X148)|(X140 @ X148)|(irel @ (esk11_3 @ X139 @ X140 @ X141) @ (esk12_3 @ X139 @ X140 @ X141))|~(ixor @ X139 @ X140 @ X141))))&(((((irel @ (esk10_3 @ X139 @ X140 @ X141) @ (esk13_3 @ X139 @ X140 @ X141))|~(X140 @ (esk12_3 @ X139 @ X140 @ X141))|~(ixor @ X139 @ X140 @ X141))&(~(X139 @ (esk14_3 @ X139 @ X140 @ X141))|~(X140 @ (esk12_3 @ X139 @ X140 @ X141))|~(ixor @ X139 @ X140 @ X141)))&((irel @ (esk13_3 @ X139 @ X140 @ X141) @ (esk14_3 @ X139 @ X140 @ X141))|~(X140 @ (esk12_3 @ X139 @ X140 @ X141))|~(ixor @ X139 @ X140 @ X141)))&(~(irel @ (esk13_3 @ X139 @ X140 @ X141) @ X148)|(X140 @ X148)|~(X140 @ (esk12_3 @ X139 @ X140 @ X141))|~(ixor @ X139 @ X140 @ X141))))&(((((irel @ (esk10_3 @ X139 @ X140 @ X141) @ (esk13_3 @ X139 @ X140 @ X141))|(irel @ (esk10_3 @ X139 @ X140 @ X141) @ (esk11_3 @ X139 @ X140 @ X141))|~(ixor @ X139 @ X140 @ X141))&(~(X139 @ (esk14_3 @ X139 @ X140 @ X141))|(irel @ (esk10_3 @ X139 @ X140 @ X141) @ (esk11_3 @ X139 @ X140 @ X141))|~(ixor @ X139 @ X140 @ X141)))&((irel @ (esk13_3 @ X139 @ X140 @ X141) @ (esk14_3 @ X139 @ X140 @ X141))|(irel @ (esk10_3 @ X139 @ X140 @ X141) @ (esk11_3 @ X139 @ X140 @ X141))|~(ixor @ X139 @ X140 @ X141)))&(~(irel @ (esk13_3 @ X139 @ X140 @ X141) @ X148)|(X140 @ X148)|(irel @ (esk10_3 @ X139 @ X140 @ X141) @ (esk11_3 @ X139 @ X140 @ X141))|~(ixor @ X139 @ X140 @ X141))))&((irel @ X141 @ (esk10_3 @ X139 @ X140 @ X141))|~(ixor @ X139 @ X140 @ X141)))&(((~(X149 @ (esk15_6 @ X149 @ X150 @ X151 @ X152 @ X153 @ X154))|~(irel @ X153 @ X154)|(X150 @ X154)|~(irel @ X152 @ X153)|~(irel @ X151 @ X152)|(ixor @ X149 @ X150 @ X151))&((irel @ X153 @ (esk15_6 @ X149 @ X150 @ X151 @ X152 @ X153 @ X154))|~(irel @ X153 @ X154)|(X150 @ X154)|~(irel @ X152 @ X153)|~(irel @ X151 @ X152)|(ixor @ X149 @ X150 @ X151)))&(((irel @ X156 @ (esk16_5 @ X149 @ X150 @ X151 @ X152 @ X156))|(~(irel @ X152 @ X156)|(X149 @ X157)|~(irel @ X156 @ X157))|~(irel @ X151 @ X152)|(ixor @ X149 @ X150 @ X151))&(~(X150 @ (esk16_5 @ X149 @ X150 @ X151 @ X152 @ X156))|(~(irel @ X152 @ X156)|(X149 @ X157)|~(irel @ X156 @ X157))|~(irel @ X151 @ X152)|(ixor @ X149 @ X150 @ X151))))))&(((((irel @ X162 @ (esk17_4 @ X159 @ X160 @ X161 @ X162))|(~(irel @ X161 @ X162)|~(irel @ X162 @ X163)|(X160 @ X163))|~(iequiv @ X159 @ X160 @ X161))&(~(X159 @ (esk17_4 @ X159 @ X160 @ X161 @ X162))|(~(irel @ X161 @ X162)|~(irel @ X162 @ X163)|(X160 @ X163))|~(iequiv @ X159 @ X160 @ X161)))&(((irel @ X165 @ (esk18_5 @ X159 @ X160 @ X161 @ X165 @ X166))|~(irel @ X161 @ X165)|(X159 @ X166)|~(irel @ X165 @ X166)|~(iequiv @ X159 @ X160 @ X161))&(~(X160 @ (esk18_5 @ X159 @ X160 @ X161 @ X165 @ X166))|~(irel @ X161 @ X165)|(X159 @ X166)|~(irel @ X165 @ X166)|~(iequiv @ X159 @ X160 @ X161))))&((((((((irel @ X170 @ (esk21_3 @ X168 @ X169 @ X170))|(irel @ X170 @ (esk19_3 @ X168 @ X169 @ X170))|(iequiv @ X168 @ X169 @ X170))&(~(irel @ (esk21_3 @ X168 @ X169 @ X170) @ X176)|(X169 @ X176)|(irel @ X170 @ (esk19_3 @ X168 @ X169 @ X170))|(iequiv @ X168 @ X169 @ X170)))&(~(X168 @ (esk22_3 @ X168 @ X169 @ X170))|(irel @ X170 @ (esk19_3 @ X168 @ X169 @ X170))|(iequiv @ X168 @ X169 @ X170)))&((irel @ (esk21_3 @ X168 @ X169 @ X170) @ (esk22_3 @ X168 @ X169 @ X170))|(irel @ X170 @ (esk19_3 @ X168 @ X169 @ X170))|(iequiv @ X168 @ X169 @ X170)))&(((((irel @ X170 @ (esk21_3 @ X168 @ X169 @ X170))|(irel @ (esk19_3 @ X168 @ X169 @ X170) @ (esk20_3 @ X168 @ X169 @ X170))|(iequiv @ X168 @ X169 @ X170))&(~(irel @ (esk21_3 @ X168 @ X169 @ X170) @ X176)|(X169 @ X176)|(irel @ (esk19_3 @ X168 @ X169 @ X170) @ (esk20_3 @ X168 @ X169 @ X170))|(iequiv @ X168 @ X169 @ X170)))&(~(X168 @ (esk22_3 @ X168 @ X169 @ X170))|(irel @ (esk19_3 @ X168 @ X169 @ X170) @ (esk20_3 @ X168 @ X169 @ X170))|(iequiv @ X168 @ X169 @ X170)))&((irel @ (esk21_3 @ X168 @ X169 @ X170) @ (esk22_3 @ X168 @ X169 @ X170))|(irel @ (esk19_3 @ X168 @ X169 @ X170) @ (esk20_3 @ X168 @ X169 @ X170))|(iequiv @ X168 @ X169 @ X170))))&(((((irel @ X170 @ (esk21_3 @ X168 @ X169 @ X170))|~(X169 @ (esk20_3 @ X168 @ X169 @ X170))|(iequiv @ X168 @ X169 @ X170))&(~(irel @ (esk21_3 @ X168 @ X169 @ X170) @ X176)|(X169 @ X176)|~(X169 @ (esk20_3 @ X168 @ X169 @ X170))|(iequiv @ X168 @ X169 @ X170)))&(~(X168 @ (esk22_3 @ X168 @ X169 @ X170))|~(X169 @ (esk20_3 @ X168 @ X169 @ X170))|(iequiv @ X168 @ X169 @ X170)))&((irel @ (esk21_3 @ X168 @ X169 @ X170) @ (esk22_3 @ X168 @ X169 @ X170))|~(X169 @ (esk20_3 @ X168 @ X169 @ X170))|(iequiv @ X168 @ X169 @ X170))))&(((((irel @ X170 @ (esk21_3 @ X168 @ X169 @ X170))|(~(irel @ (esk19_3 @ X168 @ X169 @ X170) @ X173)|(X168 @ X173))|(iequiv @ X168 @ X169 @ X170))&(~(irel @ (esk21_3 @ X168 @ X169 @ X170) @ X176)|(X169 @ X176)|(~(irel @ (esk19_3 @ X168 @ X169 @ X170) @ X173)|(X168 @ X173))|(iequiv @ X168 @ X169 @ X170)))&(~(X168 @ (esk22_3 @ X168 @ X169 @ X170))|(~(irel @ (esk19_3 @ X168 @ X169 @ X170) @ X173)|(X168 @ X173))|(iequiv @ X168 @ X169 @ X170)))&((irel @ (esk21_3 @ X168 @ X169 @ X170) @ (esk22_3 @ X168 @ X169 @ X170))|(~(irel @ (esk19_3 @ X168 @ X169 @ X170) @ X173)|(X168 @ X173))|(iequiv @ X168 @ X169 @ X170))))))&((((irel @ X179 @ (esk23_3 @ X177 @ X178 @ X179))|(~(irel @ X179 @ X181)|(X178 @ X181))|~(iimplies @ X177 @ X178 @ X179))&(~(X177 @ (esk23_3 @ X177 @ X178 @ X179))|(~(irel @ X179 @ X181)|(X178 @ X181))|~(iimplies @ X177 @ X178 @ X179)))&((~(irel @ X184 @ X185)|(X182 @ X185)|(iimplies @ X182 @ X183 @ X184))&(((irel @ X184 @ (esk24_3 @ X182 @ X183 @ X184))|(iimplies @ X182 @ X183 @ X184))&(~(X183 @ (esk24_3 @ X182 @ X183 @ X184))|(iimplies @ X182 @ X183 @ X184))))))&(((~(irel @ X189 @ X190)|(X188 @ X190)|~(iand @ X187 @ X188 @ X189))&((X187 @ X191)|~(irel @ X189 @ X191)|~(iand @ X187 @ X188 @ X189)))&(((~(X192 @ (esk26_3 @ X192 @ X193 @ X194))|(irel @ X194 @ (esk25_3 @ X192 @ X193 @ X194))|(iand @ X192 @ X193 @ X194))&((irel @ X194 @ (esk26_3 @ X192 @ X193 @ X194))|(irel @ X194 @ (esk25_3 @ X192 @ X193 @ X194))|(iand @ X192 @ X193 @ X194)))&((~(X192 @ (esk26_3 @ X192 @ X193 @ X194))|~(X193 @ (esk25_3 @ X192 @ X193 @ X194))|(iand @ X192 @ X193 @ X194))&((irel @ X194 @ (esk26_3 @ X192 @ X193 @ X194))|~(X193 @ (esk25_3 @ X192 @ X193 @ X194))|(iand @ X192 @ X193 @ X194))))))&((((irel @ X198 @ (esk27_2 @ X197 @ X198))|~(inot @ X197 @ X198))&(~(X197 @ (esk27_2 @ X197 @ X198))|~(inot @ X197 @ X198)))&(~(irel @ X201 @ X202)|(X200 @ X202)|(inot @ X200 @ X201))))&((~(mor @ X203 @ X204 @ X205)|((X203 @ X205)|(X204 @ X205)))&((~(X203 @ X205)|(mor @ X203 @ X204 @ X205))&(~(X204 @ X205)|(mor @ X203 @ X204 @ X205)))))&((X206)=(d2unsorted @ (esk28_1 @ X206))))), 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])])])])])])])). 17.32/4.02 thf(c_0_4, negated_conjecture, ~(((ixor)=(^[X1:$i > $o, X2:$i > $o]:(inot @ (iequiv @ X1 @ X2))))), inference(assume_negation,[status(cth)],[ixor])). 17.32/4.02 thf(c_0_5, plain, ![X7:$i]:(((X7)=(d2unsorted @ (esk28_1 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_3])). 17.32/4.02 thf(c_0_6, plain, ![X3:d_unsorted]:(((X3)=(d_unsorted_0))), inference(split_conjunct,[status(thm)],[c_0_3])). 17.32/4.02 thf(c_0_7, negated_conjecture, ~(![X41:$i > $o, X42:$i > $o]:(((ixor @ X41 @ X42)=(inot @ (iequiv @ X41 @ X42))))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_4])])). 17.32/4.02 thf(c_0_8, plain, ![X7:$i]:(((d2unsorted @ d_unsorted_0)=(X7))), inference(rw,[status(thm)],[c_0_5, c_0_6])). 17.32/4.02 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])])])])). 17.32/4.02 thf(c_0_10, plain, ![X1:$i > $o]:((~((icountersatisfiable @ X1))|~((X1 @ (esk7_1 @ X1))))), inference(split_conjunct,[status(thm)],[c_0_3])). 17.32/4.02 thf(c_0_11, plain, (irel @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0)), inference(split_conjunct,[status(thm)],[c_0_3])). 17.32/4.02 thf(c_0_12, plain, ![X7:$i]:(((esk29_0)=(X7))), inference(rw,[status(thm)],[c_0_8, c_0_8])). 17.32/4.02 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])). 17.32/4.02 thf(c_0_14, plain, ![X1:$i > $o]:((~((icountersatisfiable @ X1))|~((X1 @ esk29_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_8]), c_0_8])). 17.32/4.02 thf(c_0_15, plain, ![X7:$i, X1:$i > $o]:(((X1 @ X7)|(icountersatisfiable @ X1))), inference(split_conjunct,[status(thm)],[c_0_3])). 17.32/4.02 thf(c_0_16, plain, (irel @ esk29_0 @ esk29_0), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_8]), c_0_8])). 17.32/4.02 thf(c_0_17, plain, ![X7:$i, X11:$i]:(((X7)=(X11))), inference(spm,[status(thm)],[c_0_12, c_0_12])). 17.32/4.02 thf(c_0_18, plain, ![X1:$i > $o, X7:$i]:((~((X1 @ (esk27_2 @ X1 @ X7)))|~((inot @ X1 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_3])). 17.32/4.02 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])). 17.32/4.02 thf(c_0_20, plain, ![X7:$i, X1:$i > $o]:(((X1 @ X7)|~((X1 @ esk29_0)))), inference(spm,[status(thm)],[c_0_14, c_0_15])). 17.32/4.02 thf(c_0_21, plain, ![X7:$i]:((irel @ X7 @ X7)), inference(spm,[status(thm)],[c_0_16, c_0_17])). 17.32/4.02 thf(c_0_22, plain, ![X7:$i, X1:$i > $o]:((~((inot @ X1 @ X7))|~((X1 @ esk29_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_8]), c_0_8])). 17.32/4.02 thf(c_0_23, negated_conjecture, ((inot @ (iequiv @ epred1_0 @ epred2_0) @ esk3_0)|(ixor @ epred1_0 @ epred2_0 @ esk3_0)), inference(dynamic_cnf,[status(thm)],[c_0_19])). 17.32/4.02 thf(c_0_24, plain, ![X1:$i > $o, X2:$i > $o, X7:$i, X13:$i, X12:$i, X11:$i]:(((X2 @ X13)|(ixor @ X2 @ X1 @ X7)|~((X1 @ (esk16_5 @ X2 @ X1 @ X7 @ X11 @ X12)))|~((irel @ X11 @ X12))|~((irel @ X12 @ X13))|~((irel @ X7 @ X11)))), inference(split_conjunct,[status(thm)],[c_0_3])). 17.32/4.02 thf(c_0_25, plain, ![X7:$i]:((irel @ esk29_0 @ X7)), inference(spm,[status(thm)],[c_0_20, c_0_21])). 17.32/4.02 thf(c_0_26, negated_conjecture, ((ixor @ epred1_0 @ epred2_0 @ esk3_0)|~((iequiv @ epred1_0 @ epred2_0 @ esk29_0))), inference(spm,[status(thm)],[c_0_22, c_0_23])). 17.32/4.02 thf(c_0_27, plain, ![X1:$i > $o, X2:$i > $o, X7:$i]:(((iequiv @ X1 @ X2 @ X7)|~((X1 @ (esk22_3 @ X1 @ X2 @ X7)))|~((X2 @ (esk20_3 @ X1 @ X2 @ X7))))), inference(split_conjunct,[status(thm)],[c_0_3])). 17.32/4.02 thf(c_0_28, plain, ![X1:$i > $o, X7:$i, X12:$i, X13:$i, X11:$i, X2:$i > $o]:(((ixor @ X1 @ X2 @ X7)|(X1 @ X11)|~((irel @ X12 @ X11))|~((irel @ X13 @ X12))|~((irel @ X7 @ X13))|~((X2 @ esk29_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_8]), c_0_8])). 17.32/4.02 thf(c_0_29, plain, ![X7:$i, X11:$i]:((irel @ X7 @ X11)), inference(spm,[status(thm)],[c_0_25, c_0_17])). 17.32/4.02 thf(c_0_30, negated_conjecture, (~((inot @ (iequiv @ epred1_0 @ epred2_0) @ esk3_0))|~((ixor @ epred1_0 @ epred2_0 @ esk3_0))), inference(dynamic_cnf,[status(thm)],[c_0_19])). 17.32/4.02 thf(c_0_31, plain, ![X1:$i > $o, X7:$i, X11:$i]:(((X1 @ X11)|(inot @ X1 @ X7)|~((irel @ X7 @ X11)))), inference(split_conjunct,[status(thm)],[c_0_3])). 17.32/4.02 thf(c_0_32, negated_conjecture, ![X7:$i]:(((ixor @ epred1_0 @ epred2_0 @ esk3_0)|~((iequiv @ epred1_0 @ epred2_0 @ X7)))), inference(spm,[status(thm)],[c_0_26, c_0_17])). 17.32/4.02 thf(c_0_33, plain, ![X7:$i, X2:$i > $o, X1:$i > $o]:(((iequiv @ X1 @ X2 @ X7)|~((X2 @ esk29_0))|~((X1 @ esk29_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_8]), c_0_8]), c_0_8]), c_0_8])). 17.32/4.02 thf(c_0_34, plain, ![X1:$i > $o, X11:$i, X7:$i, X2:$i > $o]:(((ixor @ X1 @ X2 @ X7)|(X1 @ X11)|~((X2 @ esk29_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_29]), c_0_29]), c_0_29])])). 17.32/4.02 thf(c_0_35, plain, ![X1:$i > $o, X2:$i > $o, X12:$i, X11:$i, X7:$i]:(((X2 @ X12)|~((X1 @ (esk18_5 @ X2 @ X1 @ X7 @ X11 @ X12)))|~((irel @ X7 @ X11))|~((irel @ X11 @ X12))|~((iequiv @ X2 @ X1 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_3])). 17.32/4.02 thf(c_0_36, negated_conjecture, ![X7:$i]:((~((inot @ (iequiv @ epred1_0 @ epred2_0) @ X7))|~((ixor @ epred1_0 @ epred2_0 @ X7)))), inference(spm,[status(thm)],[c_0_30, c_0_17])). 17.32/4.02 thf(c_0_37, plain, ![X1:$i > $o, X7:$i, X11:$i]:(((inot @ X1 @ X7)|(X1 @ X11))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31, c_0_29])])). 17.32/4.02 thf(c_0_38, plain, ![X1:$i > $o, X7:$i, X11:$i]:(((X1 @ X7)|~((X1 @ X11)))), inference(spm,[status(thm)],[c_0_20, c_0_17])). 17.32/4.02 thf(c_0_39, negated_conjecture, ((ixor @ epred1_0 @ epred2_0 @ esk3_0)|~((epred2_0 @ esk29_0))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_33]), c_0_34])). 17.32/4.02 thf(c_0_40, plain, ![X1:$i > $o, X2:$i > $o, X7:$i]:((~((X1 @ (esk14_3 @ X1 @ X2 @ X7)))|~((X2 @ (esk12_3 @ X1 @ X2 @ X7)))|~((ixor @ X1 @ X2 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_3])). 17.32/4.02 thf(c_0_41, plain, ![X1:$i > $o, X7:$i, X12:$i, X11:$i, X2:$i > $o]:(((X1 @ X7)|~((iequiv @ X1 @ X2 @ X11))|~((irel @ X12 @ X7))|~((irel @ X11 @ X12))|~((X2 @ esk29_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_8]), c_0_8])). 17.32/4.02 thf(c_0_42, negated_conjecture, ![X7:$i, X11:$i]:(((iequiv @ epred1_0 @ epred2_0 @ X7)|~((ixor @ epred1_0 @ epred2_0 @ X11)))), inference(spm,[status(thm)],[c_0_36, c_0_37])). 17.32/4.02 thf(c_0_43, negated_conjecture, ![X7:$i]:(((ixor @ epred1_0 @ epred2_0 @ X7)|~((epred2_0 @ esk29_0)))), inference(spm,[status(thm)],[c_0_38, c_0_39])). 17.32/4.02 thf(c_0_44, plain, ![X7:$i, X2:$i > $o, X1:$i > $o]:((~((ixor @ X1 @ X2 @ X7))|~((X2 @ esk29_0))|~((X1 @ esk29_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40, c_0_8]), c_0_8]), c_0_8]), c_0_8])). 17.32/4.02 thf(c_0_45, plain, ![X1:$i > $o, X11:$i, X7:$i, X2:$i > $o]:(((X1 @ X7)|~((iequiv @ X1 @ X2 @ X11))|~((X2 @ esk29_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_29]), c_0_29])])). 17.32/4.02 thf(c_0_46, negated_conjecture, ![X7:$i]:(((iequiv @ epred1_0 @ epred2_0 @ X7)|~((epred2_0 @ esk29_0)))), inference(spm,[status(thm)],[c_0_42, c_0_43])). 17.32/4.02 thf(c_0_47, negated_conjecture, (~((epred2_0 @ esk29_0))|~((epred1_0 @ esk29_0))), inference(spm,[status(thm)],[c_0_44, c_0_39])). 17.32/4.02 thf(c_0_48, negated_conjecture, ![X7:$i]:(((epred1_0 @ X7)|~((epred2_0 @ esk29_0)))), inference(spm,[status(thm)],[c_0_45, c_0_46])). 17.32/4.02 thf(c_0_49, negated_conjecture, ![X7:$i]:((~((epred2_0 @ X7))|~((epred1_0 @ X7)))), inference(spm,[status(thm)],[c_0_47, c_0_17])). 17.32/4.02 thf(c_0_50, negated_conjecture, ![X7:$i, X11:$i]:(((epred1_0 @ X7)|~((epred2_0 @ X11)))), inference(spm,[status(thm)],[c_0_48, c_0_17])). 17.32/4.02 thf(c_0_51, negated_conjecture, ![X7:$i]:(((icountersatisfiable @ epred2_0)|~((epred1_0 @ X7)))), inference(spm,[status(thm)],[c_0_49, c_0_15])). 17.32/4.02 thf(c_0_52, plain, ![X1:$i > $o, X2:$i > $o, X7:$i, X11:$i, X12:$i]:(((X2 @ X11)|(X1 @ X12)|(iequiv @ X1 @ X2 @ X7)|~((irel @ (esk21_3 @ X1 @ X2 @ X7) @ X11))|~((irel @ (esk19_3 @ X1 @ X2 @ X7) @ X12)))), inference(split_conjunct,[status(thm)],[c_0_3])). 17.32/4.02 thf(c_0_53, negated_conjecture, (icountersatisfiable @ epred2_0), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50, c_0_15]), c_0_51])). 17.32/4.02 thf(c_0_54, plain, ![X1:$i > $o, X7:$i]:(((isatisfiable @ X1)|~((X1 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_3])). 17.32/4.02 thf(c_0_55, plain, ![X2:$i > $o, X1:$i > $o, X7:$i, X11:$i, X12:$i]:(((iequiv @ X1 @ X2 @ X7)|(X2 @ X11)|(X1 @ X12))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52, c_0_17]), c_0_29]), c_0_17]), c_0_29])])). 17.32/4.02 thf(c_0_56, negated_conjecture, ~((epred2_0 @ esk29_0)), inference(spm,[status(thm)],[c_0_14, c_0_53])). 17.32/4.02 thf(c_0_57, plain, ![X1:$i > $o]:(((X1 @ (esk8_1 @ X1))|~((isatisfiable @ X1)))), inference(split_conjunct,[status(thm)],[c_0_3])). 17.32/4.02 thf(c_0_58, plain, ![X1:$i > $o, X2:$i > $o, X7:$i, X11:$i]:(((iequiv @ X1 @ X2 @ X7)|(isatisfiable @ X1)|(X2 @ X11))), inference(spm,[status(thm)],[c_0_54, c_0_55])). 17.32/4.02 thf(c_0_59, negated_conjecture, ![X7:$i]:(~((epred2_0 @ X7))), inference(spm,[status(thm)],[c_0_56, c_0_17])). 17.32/4.02 thf(c_0_60, plain, ![X1:$i > $o, X2:$i > $o, X12:$i, X11:$i, X7:$i]:(((X2 @ X11)|(X1 @ X12)|~((irel @ (esk13_3 @ X1 @ X2 @ X7) @ X11))|~((irel @ (esk11_3 @ X1 @ X2 @ X7) @ X12))|~((ixor @ X1 @ X2 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_3])). 17.32/4.02 thf(c_0_61, plain, ![X1:$i > $o]:(((X1 @ esk29_0)|~((isatisfiable @ X1)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57, c_0_8]), c_0_8])). 17.32/4.02 thf(c_0_62, negated_conjecture, ((ixor @ epred1_0 @ epred2_0 @ esk3_0)|(isatisfiable @ epred1_0)), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_58]), c_0_59])). 17.32/4.02 thf(c_0_63, plain, ![X1:$i > $o, X2:$i > $o, X12:$i, X11:$i, X7:$i]:(((X2 @ X12)|~((X1 @ (esk17_4 @ X1 @ X2 @ X7 @ X11)))|~((irel @ X7 @ X11))|~((irel @ X11 @ X12))|~((iequiv @ X1 @ X2 @ X7)))), inference(split_conjunct,[status(thm)],[c_0_3])). 17.32/4.02 thf(c_0_64, plain, ![X1:$i > $o, X7:$i, X2:$i > $o, X11:$i, X12:$i]:(((X1 @ X7)|(X2 @ X11)|~((ixor @ X2 @ X1 @ X12)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60, c_0_17]), c_0_29]), c_0_17]), c_0_29])])). 17.32/4.02 thf(c_0_65, negated_conjecture, ((ixor @ epred1_0 @ epred2_0 @ esk3_0)|(epred1_0 @ esk29_0)), inference(spm,[status(thm)],[c_0_61, c_0_62])). 17.32/4.02 thf(c_0_66, plain, ![X1:$i > $o, X2:$i > $o, X7:$i, X13:$i, X12:$i, X11:$i]:(((X2 @ X13)|(ixor @ X1 @ X2 @ X7)|~((X1 @ (esk15_6 @ X1 @ X2 @ X7 @ X11 @ X12 @ X13)))|~((irel @ X12 @ X13))|~((irel @ X11 @ X12))|~((irel @ X7 @ X11)))), inference(split_conjunct,[status(thm)],[c_0_3])). 17.32/4.02 thf(c_0_67, plain, ![X1:$i > $o, X7:$i, X12:$i, X11:$i, X2:$i > $o]:(((X1 @ X7)|~((iequiv @ X2 @ X1 @ X11))|~((irel @ X12 @ X7))|~((irel @ X11 @ X12))|~((X2 @ esk29_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63, c_0_8]), c_0_8])). 17.32/4.02 thf(c_0_68, negated_conjecture, (epred1_0 @ esk29_0), inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64, c_0_65]), c_0_59]), c_0_38])). 17.32/4.02 thf(c_0_69, plain, ![X7:$i, X2:$i > $o, X12:$i, X13:$i, X11:$i, X1:$i > $o]:(((ixor @ X1 @ X2 @ X7)|(X2 @ X11)|~((irel @ X12 @ X11))|~((irel @ X13 @ X12))|~((irel @ X7 @ X13))|~((X1 @ esk29_0)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66, c_0_8]), c_0_8])). 17.32/4.02 thf(c_0_70, plain, ![X1:$i > $o, X11:$i, X7:$i, X2:$i > $o]:(((X1 @ X7)|~((iequiv @ X2 @ X1 @ X11))|~((X2 @ esk29_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67, c_0_29]), c_0_29])])). 17.32/4.02 thf(c_0_71, negated_conjecture, ![X7:$i]:(((icountersatisfiable @ (ixor @ epred1_0 @ epred2_0))|(iequiv @ epred1_0 @ epred2_0 @ X7))), inference(spm,[status(thm)],[c_0_42, c_0_15])). 17.32/4.02 thf(c_0_72, negated_conjecture, ![X7:$i]:((epred1_0 @ X7)), inference(spm,[status(thm)],[c_0_38, c_0_68])). 17.32/4.02 thf(c_0_73, plain, ![X2:$i > $o, X11:$i, X7:$i, X1:$i > $o]:(((ixor @ X1 @ X2 @ X7)|(X2 @ X11)|~((X1 @ esk29_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69, c_0_29]), c_0_29]), c_0_29])])). 17.32/4.02 thf(c_0_74, negated_conjecture, (icountersatisfiable @ (ixor @ epred1_0 @ epred2_0)), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_72])]), c_0_59])). 17.32/4.02 thf(c_0_75, plain, ![X2:$i > $o, X1:$i > $o, X7:$i, X11:$i, X12:$i]:(((ixor @ X1 @ X2 @ X7)|(X2 @ X11)|~((X1 @ X12)))), inference(spm,[status(thm)],[c_0_73, c_0_17])). 17.32/4.02 thf(c_0_76, negated_conjecture, ~((ixor @ epred1_0 @ epred2_0 @ esk29_0)), inference(spm,[status(thm)],[c_0_14, c_0_74])). 17.32/4.02 thf(c_0_77, negated_conjecture, ![X1:$i > $o, X7:$i, X11:$i]:(((ixor @ epred1_0 @ X1 @ X7)|(X1 @ X11))), inference(spm,[status(thm)],[c_0_75, c_0_72])). 17.32/4.02 thf(c_0_78, negated_conjecture, ![X7:$i]:(~((ixor @ epred1_0 @ epred2_0 @ X7))), inference(spm,[status(thm)],[c_0_76, c_0_17])). 17.32/4.02 thf(c_0_79, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_77]), c_0_78]), ['proof']). 17.32/4.02 % SZS output end CNFRefutation 17.32/4.02 % Parsed axioms : 26 17.32/4.02 % Removed by relevancy pruning/SinE : 0 17.32/4.02 % Initial clauses : 120 17.32/4.02 % Removed in clause preprocessing : 24 17.32/4.02 % Initial clauses in saturation : 96 17.32/4.02 % Processed clauses : 3190 17.32/4.02 % ...of these trivial : 360 17.32/4.02 % ...subsumed : 849 17.32/4.02 % ...remaining for further processing : 1981 17.32/4.02 % Other redundant clauses eliminated : 0 17.32/4.02 % Clauses deleted for lack of memory : 0 17.32/4.02 % Backward-subsumed : 312 17.32/4.02 % Backward-rewritten : 35 17.32/4.02 % Generated clauses : 242197 17.32/4.02 % ...of the previous two non-redundant : 238730 17.32/4.02 % ...aggressively subsumed : 0 17.32/4.02 % Contextual simplify-reflections : 4 17.32/4.02 % Paramodulations : 242056 17.32/4.02 % Factorizations : 132 17.32/4.02 % NegExts : 1 17.32/4.02 % Equation resolutions : 0 17.32/4.02 % Disequality decompositions : 0 17.32/4.02 % Total rewrite steps : 3435 17.32/4.02 % ...of those cached : 2306 17.32/4.02 % Propositional unsat checks : 0 17.32/4.02 % Propositional check models : 0 17.32/4.02 % Propositional check unsatisfiable : 0 17.32/4.02 % Propositional clauses : 0 17.32/4.02 % Propositional clauses after purity: 0 17.32/4.02 % Propositional unsat core size : 0 17.32/4.02 % Propositional preprocessing time : 0.000 17.32/4.02 % Propositional encoding time : 0.000 17.32/4.02 % Propositional solver time : 0.000 17.32/4.02 % Success case prop preproc time : 0.000 17.32/4.02 % Success case prop encoding time : 0.000 17.32/4.02 % Success case prop solver time : 0.000 17.32/4.02 % Current number of processed clauses : 1539 17.32/4.02 % Positive orientable unit clauses : 722 17.32/4.02 % Positive unorientable unit clauses: 2 17.32/4.02 % Negative unit clauses : 215 17.32/4.02 % Non-unit-clauses : 600 17.32/4.02 % Current number of unprocessed clauses: 235008 17.32/4.02 % ...number of literals in the above : 471825 17.32/4.02 % Current number of archived formulas : 0 17.32/4.02 % Current number of archived clauses : 442 17.32/4.02 % Clause-clause subsumption calls (NU) : 181752 17.32/4.02 % Rec. Clause-clause subsumption calls : 123320 17.32/4.02 % Non-unit clause-clause subsumptions : 378 17.32/4.02 % Unit Clause-clause subsumption calls : 91504 17.32/4.02 % Rewrite failures with RHS unbound : 0 17.32/4.02 % BW rewrite match attempts : 2591 17.32/4.02 % BW rewrite match successes : 40 17.32/4.02 % Condensation attempts : 0 17.32/4.02 % Condensation successes : 0 17.32/4.02 % Termbank termtop insertions : 2522483 17.32/4.02 % Search garbage collected termcells : 2709 17.32/4.02 17.32/4.02 % ------------------------------------------------- 17.32/4.02 % User time : 3.250 s 17.32/4.02 % System time : 0.178 s 17.32/4.02 % Total time : 3.427 s 17.32/4.02 % Maximum resident set size: 4208 pages 17.32/4.02 17.32/4.02 % ------------------------------------------------- 17.32/4.02 % User time : 13.251 s 17.32/4.02 % System time : 0.653 s 17.32/4.02 % Total time : 13.904 s 17.32/4.02 % Maximum resident set size: 4608 pages 17.32/4.02 % E exiting 17.32/4.02 EOF