0.02/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.09 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.08/0.29 % Computer : n008.cluster.edu 0.08/0.29 % Model : x86_64 x86_64 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.29 % Memory : 8042.1875MB 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64 0.08/0.29 % CPULimit : 1920 0.08/0.29 % WCLimit : 240 0.08/0.29 % DateTime : Wed Jul 30 07:39:04 EDT 2025 0.08/0.29 % CPUTime : 0.14/0.40 Running higher-order theorem proving 0.14/0.43 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=240 /export/starexec/sandbox2/tmp/tmp.GQGnfiAtOb/E---3.1_9651.p 27.15/7.24 # Version: 3.0.0-ho 27.15/7.24 # partial match(2): HSLMSMSSSSLCHSA 27.15/7.24 # Preprocessing class: HSLMSLSSSSLCHHA. 27.15/7.24 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 27.15/7.24 # Starting pre_casc_6 with 1200s (5) cores 27.15/7.24 # Starting ehoh_best7 with 240s (1) cores 27.15/7.24 # Starting new_bool_8 with 240s (1) cores 27.15/7.24 # Starting new_ho_11 with 240s (1) cores 27.15/7.24 # new_bool_8 with pid 9731 completed with status 0 27.15/7.24 # Result found by new_bool_8 27.15/7.24 # partial match(2): HSLMSMSSSSLCHSA 27.15/7.24 # Preprocessing class: HSLMSLSSSSLCHHA. 27.15/7.24 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 27.15/7.24 # Starting pre_casc_6 with 1200s (5) cores 27.15/7.24 # Starting ehoh_best7 with 240s (1) cores 27.15/7.24 # Starting new_bool_8 with 240s (1) cores 27.15/7.24 # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0) 27.15/7.24 # Search class: HGHSM-SMLF33-MHHFFFBN 27.15/7.24 # partial match(2): HGHSM-SMLM33-MHFFFFBN 27.15/7.24 # Scheduled 6 strats onto 1 cores with 234 seconds (234 total) 27.15/7.24 # Starting new_ho_10 with 43s (1) cores 27.15/7.24 # new_ho_10 with pid 9733 completed with status 0 27.15/7.24 # Result found by new_ho_10 27.15/7.24 # partial match(2): HSLMSMSSSSLCHSA 27.15/7.24 # Preprocessing class: HSLMSLSSSSLCHHA. 27.15/7.24 # Scheduled 4 strats onto 8 cores with 240 seconds (1920 total) 27.15/7.24 # Starting pre_casc_6 with 1200s (5) cores 27.15/7.24 # Starting ehoh_best7 with 240s (1) cores 27.15/7.24 # Starting new_bool_8 with 240s (1) cores 27.15/7.24 # SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0) 27.15/7.24 # Search class: HGHSM-SMLF33-MHHFFFBN 27.15/7.24 # partial match(2): HGHSM-SMLM33-MHFFFFBN 27.15/7.24 # Scheduled 6 strats onto 1 cores with 234 seconds (234 total) 27.15/7.24 # Starting new_ho_10 with 43s (1) cores 27.15/7.24 # Preprocessing time : 0.060 s 27.15/7.24 # Presaturation interreduction done 27.15/7.24 27.15/7.24 # Proof found! 27.15/7.24 # SZS status Theorem 27.15/7.24 # SZS output start CNFRefutation 27.15/7.24 thf(decl_24, type, c_False: $o). 27.15/7.24 thf(decl_26, type, c_not: $o > $o). 27.15/7.24 thf(decl_30, type, c_In: $i > $i > $o). 27.15/7.24 thf(decl_32, type, c_Empty: $i). 27.15/7.24 thf(decl_87, type, c_Inj1: $i > $i). 27.15/7.24 thf(decl_88, type, c_Inj0: $i > $i). 27.15/7.24 thf(decl_91, type, c_setsum: $i > $i > $i). 27.15/7.24 thf(decl_127, type, epred1_0: $o). 27.15/7.24 thf(decl_128, type, epred2_0: ($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o). 27.15/7.24 thf(decl_129, type, epred3_0: ($i > (($i > $i) > $i) > $i) > $i > $o). 27.15/7.24 thf(decl_130, type, epred4_0: ($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o). 27.15/7.24 thf(decl_131, type, epred5_0: ($i > ($i > $i > $i) > $i) > $i > $i > $o). 27.15/7.24 thf(decl_134, type, epred6_0: $o). 27.15/7.24 thf(decl_135, type, esk3_4: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > ($i > $i > $i) > $i) > $i > $i > $o) > $i). 27.15/7.24 thf(decl_136, type, esk4_4: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > ($i > $i > $i) > $i) > $i > $i > $o) > (($i > $i > $i) > ($i > $i) > $i > $i) > $i). 27.15/7.24 thf(decl_137, type, esk5_4: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > ($i > $i > $i) > $i) > $i > $i > $o) > $i). 27.15/7.24 thf(decl_138, type, esk6_4: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > ($i > $i > $i) > $i) > $i > $i > $o) > ((($i > $i) > $i > $i) > $i) > $i). 27.15/7.24 thf(decl_139, type, esk7_4: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > ($i > $i > $i) > $i) > $i > $i > $o) > $i). 27.15/7.24 thf(decl_140, type, esk8_4: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > ($i > $i > $i) > $i) > $i > $i > $o) > $i). 27.15/7.24 thf(decl_141, type, esk9_4: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > ($i > $i > $i) > $i) > $i > $i > $o) > $i > (($i > $i) > $i > $i) > $i). 27.15/7.24 thf(decl_142, type, esk10_4: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > ($i > $i > $i) > $i) > $i > $i > $o) > ((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i). 27.15/7.24 thf(decl_143, type, esk11_4: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > ($i > $i > $i) > $i) > $i > $i > $o) > $i). 27.15/7.24 thf(decl_144, type, esk12_4: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > ($i > $i > $i) > $i) > $i > $i > $o) > $i > $i > $i). 27.15/7.24 thf(decl_145, type, esk13_4: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > ($i > $i > $i) > $i) > $i > $i > $o) > $i). 27.15/7.24 thf(decl_146, type, esk14_4: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > ($i > $i > $i) > $i) > $i > $i > $o) > $i > $i). 27.15/7.24 thf(decl_147, type, esk15_4: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > ($i > $i > $i) > $i) > $i > $i > $o) > $i). 27.15/7.24 thf(decl_148, type, esk16_4: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > ($i > $i > $i) > $i) > $i > $i > $o) > $i). 27.15/7.24 thf(decl_149, type, esk17_4: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > ($i > $i > $i) > $i) > $i > $i > $o) > $i). 27.15/7.24 thf(decl_150, type, esk18_4: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > ($i > $i > $i) > $i) > $i > $i > $o) > $i). 27.15/7.24 thf(decl_151, type, esk19_4: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > ($i > $i > $i) > $i) > $i > $i > $o) > $i). 27.15/7.24 thf(decl_152, type, esk20_4: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > ($i > $i > $i) > $i) > $i > $i > $o) > ((($i > $i) > $i > $i) > $i) > $i). 27.15/7.24 thf(decl_153, type, esk21_4: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > ($i > $i > $i) > $i) > $i > $i > $o) > $i > $i). 27.15/7.24 thf(decl_154, type, esk22_4: (($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o) > (($i > (($i > $i) > $i) > $i) > $i > $o) > (($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o) > (($i > ($i > $i > $i) > $i) > $i > $i > $o) > $i). 27.15/7.24 thf(decl_155, type, esk23_0: $i > $i > (($i > $i) > $i > $i) > $i). 27.15/7.24 thf(decl_159, type, esk27_0: $i > $i). 27.15/7.24 thf(decl_161, type, esk29_1: $i > $i > (($i > $i) > $i) > $i). 27.15/7.24 thf(decl_165, type, esk33_0: ((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i). 27.15/7.24 thf(decl_167, type, esk35_0: ((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i). 27.15/7.24 thf(decl_171, type, esk39_0: $i > $i > (($i > $i) > $i > $i) > $i). 27.15/7.24 thf(decl_172, type, esk40_0: (($i > $i) > $i > $i) > ($i > $i) > $i > $i). 27.15/7.24 thf(decl_173, type, esk41_0: $i > $i > $i). 27.15/7.24 thf(decl_174, type, esk42_1: $i > $i > ($i > $i > $i) > $i). 27.15/7.24 thf(decl_177, type, esk45_0: $i > $i). 27.15/7.24 thf(decl_178, type, esk46_0: ($i > $i > $i) > ($i > $i) > $i > $i). 27.15/7.24 thf(conj, conjecture, (c_not @ (![X55:($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o, X56:($i > (($i > $i) > $i) > $i) > $i > $o, X57:($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o, X58:($i > ($i > $i > $i) > $i) > $i > $i > $o]:((![X59:(($i > $i > $i) > ($i > $i) > $i > $i) > $i, X60:$i, X61:$i, X62:$i]:(((c_In @ (c_Inj0 @ X61) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ X61 @ (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)))))=>((X57 @ (^[X63:$i]:(c_Inj0 @ (c_Inj0 @ c_Empty))) @ (^[X64:(($i > $i) > $i) > $i, X65:$i > $i > $i, X66:$i, X67:$i]:(X66)) @ (c_setsum @ (X59 @ (^[X68:$i > $i > $i, X69:$i > $i, X70:$i]:(c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)))) @ c_Empty))=>(X58 @ (^[X71:$i, X72:$i > $i > $i]:(c_Inj0 @ X71)) @ X60 @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ c_Empty @ c_Empty)) @ (c_Inj0 @ c_Empty)) @ c_Empty)))))=>(![X73:((($i > $i) > $i > $i) > $i) > $i, X74:$i > $i, X75:$i, X76:$i]:(((X58 @ (^[X77:$i, X78:$i > $i > $i]:(X76)) @ (c_setsum @ (X73 @ (^[X79:($i > $i) > $i > $i]:(X76))) @ X75) @ (c_Inj0 @ (c_Inj1 @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty)))))<=(X58 @ (^[X80:$i, X81:$i > $i > $i]:(c_Empty)) @ X76 @ (c_setsum @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_Inj0 @ c_Empty))) @ (c_setsum @ c_Empty @ (c_Inj1 @ (c_setsum @ c_Empty @ c_Empty)))))))=>(((![X82:$i, X83:$i > $i, X84:$i > $i, X85:$i]:(((X56 @ (^[X86:$i, X87:($i > $i) > $i]:(X87 @ (^[X88:$i]:(c_setsum @ (c_Inj1 @ (c_Inj0 @ c_Empty)) @ (c_setsum @ c_Empty @ c_Empty))))) @ c_Empty)<=(X58 @ (^[X89:$i, X90:$i > $i > $i]:(c_Empty)) @ c_Empty @ c_Empty)))=>((((c_False)<=![X91:$i > $i, X92:$i, X93:$i > $i, X94:$i]:(((c_False)<=(X55 @ (^[X95:$i, X96:$i, X97:($i > $i) > $i > $i]:(c_Empty)) @ (X91 @ c_Empty) @ X94))))<=![X98:((($i > $i) > $i > $i) > $i) > $i, X99:$i, X100:$i, X101:$i]:(((c_In @ (c_Inj1 @ c_Empty) @ X99)=>((X56 @ (^[X102:$i, X103:($i > $i) > $i]:(c_Empty)) @ c_Empty)=>(X55 @ (^[X104:$i, X105:$i, X106:($i > $i) > $i > $i]:(c_Inj1 @ c_Empty)) @ (c_Inj1 @ (c_Inj1 @ (X98 @ (^[X107:($i > $i) > $i > $i]:(c_Empty))))) @ (c_Inj1 @ (c_setsum @ (c_setsum @ (c_Inj0 @ c_Empty) @ c_Empty) @ (c_Inj1 @ (c_Inj0 @ c_Empty)))))))))<=![X108:$i, X109:$i, X110:$i, X111:$i]:(((c_In @ (c_Inj0 @ X110) @ (c_setsum @ (c_setsum @ X108 @ (c_setsum @ X109 @ (c_setsum @ c_Empty @ c_Empty))) @ (c_Inj1 @ (c_setsum @ X109 @ c_Empty))))=>((X56 @ (^[X112:$i, X113:($i > $i) > $i]:(X111)) @ c_Empty)=>(X57 @ (^[X114:$i]:(c_Empty)) @ (^[X115:(($i > $i) > $i) > $i, X116:$i > $i > $i, X117:$i, X118:$i]:(c_setsum @ c_Empty @ c_Empty)) @ X109))))))<=![X119:$i > $i > $i, X120:$i > $i, X121:$i, X122:$i > $i]:((((X57 @ (^[X123:$i]:(c_Empty)) @ (^[X124:(($i > $i) > $i) > $i, X125:$i > $i > $i, X126:$i, X127:$i]:(c_Empty)) @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_Inj0 @ c_Empty))) @ (c_Inj1 @ X121)))=>(X56 @ (^[X128:$i, X129:($i > $i) > $i]:(c_Inj0 @ c_Empty)) @ (X119 @ c_Empty @ (X120 @ (c_setsum @ (c_Inj1 @ c_Empty) @ c_Empty)))))<=(c_In @ (c_Inj0 @ (c_Inj1 @ c_Empty)) @ (c_setsum @ (c_setsum @ (c_Inj0 @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty))) @ (c_setsum @ c_Empty @ (c_setsum @ (c_Inj0 @ c_Empty) @ (X119 @ c_Empty @ c_Empty))))))))<=![X130:$i, X131:$i > (($i > $i) > $i > $i) > $i, X132:((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i, X133:$i]:(((c_In @ (c_Inj0 @ c_Empty) @ (c_setsum @ c_Empty @ (X131 @ (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)) @ (^[X134:$i > $i, X135:$i]:(c_Inj0 @ c_Empty)))))=>((X57 @ (^[X136:$i]:(X136)) @ (^[X137:(($i > $i) > $i) > $i, X138:$i > $i > $i, X139:$i, X140:$i]:(X139)) @ (c_setsum @ (c_Inj0 @ c_Empty) @ (X132 @ (^[X141:($i > $i) > $i > $i, X142:$i > $i, X143:$i]:(c_Inj0 @ c_Empty)) @ (^[X144:$i, X145:$i]:(X145)))))<=(X55 @ (^[X146:$i, X147:$i, X148:($i > $i) > $i > $i]:(X146)) @ X133 @ (X132 @ (^[X149:($i > $i) > $i > $i, X150:$i > $i, X151:$i]:(c_Inj1 @ c_Empty)) @ (^[X152:$i, X153:$i]:(c_Empty))))))))))))), file('/export/starexec/sandbox2/tmp/tmp.GQGnfiAtOb/E---3.1_9651.p', conj)). 27.15/7.24 thf(ax13, axiom, ((c_not)=(^[X222:$o]:(((c_False)<=(X222))))), file('/export/starexec/sandbox2/tmp/tmp.GQGnfiAtOb/E---3.1_9651.p', ax13)). 27.15/7.24 thf(ax11, axiom, ((c_False)<=>![X226:$o]:((X226))), file('/export/starexec/sandbox2/tmp/tmp.GQGnfiAtOb/E---3.1_9651.p', ax11)). 27.15/7.24 thf(c_0_3, plain, ((epred1_0)<=>(~(![X55:($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o, X56:($i > (($i > $i) > $i) > $i) > $i > $o, X57:($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o, X58:($i > ($i > $i > $i) > $i) > $i > $i > $o]:((![X59:(($i > $i > $i) > ($i > $i) > $i > $i) > $i, X60:$i, X61:$i, X62:$i]:(((c_In @ (c_Inj0 @ X61) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ X61 @ (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)))))=>((X57 @ (^[Z0/* 88 */:$i]:(c_Inj0 @ (c_Inj0 @ c_Empty))) @ (^[Z0/* 19 */:(($i > $i) > $i) > $i, Z1:$i > $i > $i, Z2:$i, Z3:$i]:(Z2)) @ (c_setsum @ (X59 @ (^[Z0/* 19 */:$i > $i > $i, Z1:$i > $i, Z2:$i]:(c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)))) @ c_Empty))=>(X58 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(c_Inj0 @ Z0)) @ X60 @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ c_Empty @ c_Empty)) @ (c_Inj0 @ c_Empty)) @ c_Empty)))))=>(![X73:((($i > $i) > $i > $i) > $i) > $i, X74:$i > $i, X75:$i, X76:$i]:(((X58 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(c_Empty)) @ X76 @ (c_setsum @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_Inj0 @ c_Empty))) @ (c_setsum @ c_Empty @ (c_Inj1 @ (c_setsum @ c_Empty @ c_Empty)))))=>(X58 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(X76)) @ (c_setsum @ (X73 @ (^[Z0/* -152 */:($i > $i) > $i > $i]:(X76))) @ X75) @ (c_Inj0 @ (c_Inj1 @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty)))))))=>(![X130:$i, X131:$i > (($i > $i) > $i > $i) > $i, X132:((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i, X133:$i]:(((c_In @ (c_Inj0 @ c_Empty) @ (c_setsum @ c_Empty @ (X131 @ (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)) @ (^[Z0/* 19 */:$i > $i, Z1:$i]:(c_Inj0 @ c_Empty)))))=>((X55 @ (^[Z0/* 19 */:$i, Z1:$i, Z2:($i > $i) > $i > $i]:(Z0)) @ X133 @ (X132 @ (^[Z0/* 19 */:($i > $i) > $i > $i, Z1:$i > $i, Z2:$i]:(c_Inj1 @ c_Empty)) @ (^[Z0/* 19 */:$i, Z1:$i]:(c_Empty))))=>(X57 @ (^[Z0/* 0 */:$i]:(Z0)) @ (^[Z0/* 19 */:(($i > $i) > $i) > $i, Z1:$i > $i > $i, Z2:$i, Z3:$i]:(Z2)) @ (c_setsum @ (c_Inj0 @ c_Empty) @ (X132 @ (^[Z0/* 19 */:($i > $i) > $i > $i, Z1:$i > $i, Z2:$i]:(c_Inj0 @ c_Empty)) @ (^[Z0/* 19 */:$i, Z1:$i]:(Z1))))))))=>(![X119:$i > $i > $i, X120:$i > $i, X121:$i, X122:$i > $i]:(((c_In @ (c_Inj0 @ (c_Inj1 @ c_Empty)) @ (c_setsum @ (c_setsum @ (c_Inj0 @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty))) @ (c_setsum @ c_Empty @ (c_setsum @ (c_Inj0 @ c_Empty) @ (X119 @ c_Empty @ c_Empty)))))=>((X57 @ (^[Z0/* 32 */:$i]:(c_Empty)) @ (^[Z0/* 19 */:(($i > $i) > $i) > $i, Z1:$i > $i > $i, Z2:$i, Z3:$i]:(c_Empty)) @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_Inj0 @ c_Empty))) @ (c_Inj1 @ X121)))=>(X56 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(c_Inj0 @ c_Empty)) @ (X119 @ c_Empty @ (X120 @ (c_setsum @ (c_Inj1 @ c_Empty) @ c_Empty)))))))=>(![X82:$i, X83:$i > $i, X84:$i > $i, X85:$i]:(((X58 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(c_Empty)) @ c_Empty @ c_Empty)=>(X56 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(Z1 @ (^[Z2/* 91 */:$i]:(c_setsum @ (c_Inj1 @ (c_Inj0 @ c_Empty)) @ (c_setsum @ c_Empty @ c_Empty))))) @ c_Empty)))=>(![X108:$i, X109:$i, X110:$i, X111:$i]:(((c_In @ (c_Inj0 @ X110) @ (c_setsum @ (c_setsum @ X108 @ (c_setsum @ X109 @ (c_setsum @ c_Empty @ c_Empty))) @ (c_Inj1 @ (c_setsum @ X109 @ c_Empty))))=>((X56 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(X111)) @ c_Empty)=>(X57 @ (^[Z0/* 32 */:$i]:(c_Empty)) @ (^[Z0/* 19 */:(($i > $i) > $i) > $i, Z1:$i > $i > $i, Z2:$i, Z3:$i]:(c_setsum @ c_Empty @ c_Empty)) @ X109))))=>(![X98:((($i > $i) > $i > $i) > $i) > $i, X99:$i, X100:$i, X101:$i]:(((c_In @ (c_Inj1 @ c_Empty) @ X99)=>((X56 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(c_Empty)) @ c_Empty)=>(X55 @ (^[Z0/* 19 */:$i, Z1:$i, Z2:($i > $i) > $i > $i]:(c_Inj1 @ c_Empty)) @ (c_Inj1 @ (c_Inj1 @ (X98 @ (^[Z0/* 32 */:($i > $i) > $i > $i]:(c_Empty))))) @ (c_Inj1 @ (c_setsum @ (c_setsum @ (c_Inj0 @ c_Empty) @ c_Empty) @ (c_Inj1 @ (c_Inj0 @ c_Empty))))))))=>(![X91:$i > $i, X92:$i, X93:$i > $i, X94:$i]:(((X55 @ (^[Z0/* 19 */:$i, Z1:$i, Z2:($i > $i) > $i > $i]:(c_Empty)) @ (X91 @ c_Empty) @ X94)=>(c_False)))=>(c_False)))))))))))|(c_not @ $true))), introduced(definition)). 27.15/7.24 thf(c_0_4, negated_conjecture, ~(((epred1_0)&(![X55:($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o, X56:($i > (($i > $i) > $i) > $i) > $i > $o, X57:($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o, X58:($i > ($i > $i > $i) > $i) > $i > $i > $o]:((![X59:(($i > $i > $i) > ($i > $i) > $i > $i) > $i, X60:$i, X61:$i, X62:$i]:(((c_In @ (c_Inj0 @ X61) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ X61 @ (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)))))=>((X57 @ (^[Z0/* 88 */:$i]:(c_Inj0 @ (c_Inj0 @ c_Empty))) @ (^[Z0/* 19 */:(($i > $i) > $i) > $i, Z1:$i > $i > $i, Z2:$i, Z3:$i]:(Z2)) @ (c_setsum @ (X59 @ (^[Z0/* 19 */:$i > $i > $i, Z1:$i > $i, Z2:$i]:(c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)))) @ c_Empty))=>(X58 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(c_Inj0 @ Z0)) @ X60 @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ c_Empty @ c_Empty)) @ (c_Inj0 @ c_Empty)) @ c_Empty)))))=>(![X73:((($i > $i) > $i > $i) > $i) > $i, X74:$i > $i, X75:$i, X76:$i]:(((X58 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(c_Empty)) @ X76 @ (c_setsum @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_Inj0 @ c_Empty))) @ (c_setsum @ c_Empty @ (c_Inj1 @ (c_setsum @ c_Empty @ c_Empty)))))=>(X58 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(X76)) @ (c_setsum @ (X73 @ (^[Z0/* -152 */:($i > $i) > $i > $i]:(X76))) @ X75) @ (c_Inj0 @ (c_Inj1 @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty)))))))=>(![X130:$i, X131:$i > (($i > $i) > $i > $i) > $i, X132:((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i, X133:$i]:(((c_In @ (c_Inj0 @ c_Empty) @ (c_setsum @ c_Empty @ (X131 @ (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)) @ (^[Z0/* 19 */:$i > $i, Z1:$i]:(c_Inj0 @ c_Empty)))))=>((X55 @ (^[Z0/* 19 */:$i, Z1:$i, Z2:($i > $i) > $i > $i]:(Z0)) @ X133 @ (X132 @ (^[Z0/* 19 */:($i > $i) > $i > $i, Z1:$i > $i, Z2:$i]:(c_Inj1 @ c_Empty)) @ (^[Z0/* 19 */:$i, Z1:$i]:(c_Empty))))=>(X57 @ (^[Z0/* 0 */:$i]:(Z0)) @ (^[Z0/* 19 */:(($i > $i) > $i) > $i, Z1:$i > $i > $i, Z2:$i, Z3:$i]:(Z2)) @ (c_setsum @ (c_Inj0 @ c_Empty) @ (X132 @ (^[Z0/* 19 */:($i > $i) > $i > $i, Z1:$i > $i, Z2:$i]:(c_Inj0 @ c_Empty)) @ (^[Z0/* 19 */:$i, Z1:$i]:(Z1))))))))=>(![X119:$i > $i > $i, X120:$i > $i, X121:$i, X122:$i > $i]:(((c_In @ (c_Inj0 @ (c_Inj1 @ c_Empty)) @ (c_setsum @ (c_setsum @ (c_Inj0 @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty))) @ (c_setsum @ c_Empty @ (c_setsum @ (c_Inj0 @ c_Empty) @ (X119 @ c_Empty @ c_Empty)))))=>((X57 @ (^[Z0/* 32 */:$i]:(c_Empty)) @ (^[Z0/* 19 */:(($i > $i) > $i) > $i, Z1:$i > $i > $i, Z2:$i, Z3:$i]:(c_Empty)) @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_Inj0 @ c_Empty))) @ (c_Inj1 @ X121)))=>(X56 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(c_Inj0 @ c_Empty)) @ (X119 @ c_Empty @ (X120 @ (c_setsum @ (c_Inj1 @ c_Empty) @ c_Empty)))))))=>(![X82:$i, X83:$i > $i, X84:$i > $i, X85:$i]:(((X58 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(c_Empty)) @ c_Empty @ c_Empty)=>(X56 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(Z1 @ (^[Z2/* 91 */:$i]:(c_setsum @ (c_Inj1 @ (c_Inj0 @ c_Empty)) @ (c_setsum @ c_Empty @ c_Empty))))) @ c_Empty)))=>(![X108:$i, X109:$i, X110:$i, X111:$i]:(((c_In @ (c_Inj0 @ X110) @ (c_setsum @ (c_setsum @ X108 @ (c_setsum @ X109 @ (c_setsum @ c_Empty @ c_Empty))) @ (c_Inj1 @ (c_setsum @ X109 @ c_Empty))))=>((X56 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(X111)) @ c_Empty)=>(X57 @ (^[Z0/* 32 */:$i]:(c_Empty)) @ (^[Z0/* 19 */:(($i > $i) > $i) > $i, Z1:$i > $i > $i, Z2:$i, Z3:$i]:(c_setsum @ c_Empty @ c_Empty)) @ X109))))=>(![X98:((($i > $i) > $i > $i) > $i) > $i, X99:$i, X100:$i, X101:$i]:(((c_In @ (c_Inj1 @ c_Empty) @ X99)=>((X56 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(c_Empty)) @ c_Empty)=>(X55 @ (^[Z0/* 19 */:$i, Z1:$i, Z2:($i > $i) > $i > $i]:(c_Inj1 @ c_Empty)) @ (c_Inj1 @ (c_Inj1 @ (X98 @ (^[Z0/* 32 */:($i > $i) > $i > $i]:(c_Empty))))) @ (c_Inj1 @ (c_setsum @ (c_setsum @ (c_Inj0 @ c_Empty) @ c_Empty) @ (c_Inj1 @ (c_Inj0 @ c_Empty))))))))=>(![X91:$i > $i, X92:$i, X93:$i > $i, X94:$i]:(((X55 @ (^[Z0/* 19 */:$i, Z1:$i, Z2:($i > $i) > $i > $i]:(c_Empty)) @ (X91 @ c_Empty) @ X94)=>(c_False)))=>(c_False))))))))))|(c_not @ $false)))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj])])])]), c_0_3])). 27.15/7.24 thf(c_0_5, plain, ![X250:$o]:(((c_not @ ((X250)))<=>((X250)=>(c_False)))), inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[ax13])])])). 27.15/7.24 thf(c_0_6, plain, ((~(![X55:($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o, X56:($i > (($i > $i) > $i) > $i) > $i > $o, X57:($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o, X58:($i > ($i > $i > $i) > $i) > $i > $i > $o]:((![X59:(($i > $i > $i) > ($i > $i) > $i > $i) > $i, X60:$i, X61:$i, X62:$i]:(((c_In @ (c_Inj0 @ X61) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ X61 @ (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)))))=>((X57 @ (^[Z0/* 88 */:$i]:(c_Inj0 @ (c_Inj0 @ c_Empty))) @ (^[Z0/* 19 */:(($i > $i) > $i) > $i, Z1:$i > $i > $i, Z2:$i, Z3:$i]:(Z2)) @ (c_setsum @ (X59 @ (^[Z0/* 19 */:$i > $i > $i, Z1:$i > $i, Z2:$i]:(c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)))) @ c_Empty))=>(X58 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(c_Inj0 @ Z0)) @ X60 @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ c_Empty @ c_Empty)) @ (c_Inj0 @ c_Empty)) @ c_Empty)))))=>(![X73:((($i > $i) > $i > $i) > $i) > $i, X74:$i > $i, X75:$i, X76:$i]:(((X58 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(c_Empty)) @ X76 @ (c_setsum @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_Inj0 @ c_Empty))) @ (c_setsum @ c_Empty @ (c_Inj1 @ (c_setsum @ c_Empty @ c_Empty)))))=>(X58 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(X76)) @ (c_setsum @ (X73 @ (^[Z0/* -152 */:($i > $i) > $i > $i]:(X76))) @ X75) @ (c_Inj0 @ (c_Inj1 @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty)))))))=>(![X130:$i, X131:$i > (($i > $i) > $i > $i) > $i, X132:((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i, X133:$i]:(((c_In @ (c_Inj0 @ c_Empty) @ (c_setsum @ c_Empty @ (X131 @ (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)) @ (^[Z0/* 19 */:$i > $i, Z1:$i]:(c_Inj0 @ c_Empty)))))=>((X55 @ (^[Z0/* 19 */:$i, Z1:$i, Z2:($i > $i) > $i > $i]:(Z0)) @ X133 @ (X132 @ (^[Z0/* 19 */:($i > $i) > $i > $i, Z1:$i > $i, Z2:$i]:(c_Inj1 @ c_Empty)) @ (^[Z0/* 19 */:$i, Z1:$i]:(c_Empty))))=>(X57 @ (^[Z0/* 0 */:$i]:(Z0)) @ (^[Z0/* 19 */:(($i > $i) > $i) > $i, Z1:$i > $i > $i, Z2:$i, Z3:$i]:(Z2)) @ (c_setsum @ (c_Inj0 @ c_Empty) @ (X132 @ (^[Z0/* 19 */:($i > $i) > $i > $i, Z1:$i > $i, Z2:$i]:(c_Inj0 @ c_Empty)) @ (^[Z0/* 19 */:$i, Z1:$i]:(Z1))))))))=>(![X119:$i > $i > $i, X120:$i > $i, X121:$i, X122:$i > $i]:(((c_In @ (c_Inj0 @ (c_Inj1 @ c_Empty)) @ (c_setsum @ (c_setsum @ (c_Inj0 @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty))) @ (c_setsum @ c_Empty @ (c_setsum @ (c_Inj0 @ c_Empty) @ (X119 @ c_Empty @ c_Empty)))))=>((X57 @ (^[Z0/* 32 */:$i]:(c_Empty)) @ (^[Z0/* 19 */:(($i > $i) > $i) > $i, Z1:$i > $i > $i, Z2:$i, Z3:$i]:(c_Empty)) @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_Inj0 @ c_Empty))) @ (c_Inj1 @ X121)))=>(X56 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(c_Inj0 @ c_Empty)) @ (X119 @ c_Empty @ (X120 @ (c_setsum @ (c_Inj1 @ c_Empty) @ c_Empty)))))))=>(![X82:$i, X83:$i > $i, X84:$i > $i, X85:$i]:(((X58 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(c_Empty)) @ c_Empty @ c_Empty)=>(X56 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(Z1 @ (^[Z2/* 91 */:$i]:(c_setsum @ (c_Inj1 @ (c_Inj0 @ c_Empty)) @ (c_setsum @ c_Empty @ c_Empty))))) @ c_Empty)))=>(![X108:$i, X109:$i, X110:$i, X111:$i]:(((c_In @ (c_Inj0 @ X110) @ (c_setsum @ (c_setsum @ X108 @ (c_setsum @ X109 @ (c_setsum @ c_Empty @ c_Empty))) @ (c_Inj1 @ (c_setsum @ X109 @ c_Empty))))=>((X56 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(X111)) @ c_Empty)=>(X57 @ (^[Z0/* 32 */:$i]:(c_Empty)) @ (^[Z0/* 19 */:(($i > $i) > $i) > $i, Z1:$i > $i > $i, Z2:$i, Z3:$i]:(c_setsum @ c_Empty @ c_Empty)) @ X109))))=>(![X98:((($i > $i) > $i > $i) > $i) > $i, X99:$i, X100:$i, X101:$i]:(((c_In @ (c_Inj1 @ c_Empty) @ X99)=>((X56 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(c_Empty)) @ c_Empty)=>(X55 @ (^[Z0/* 19 */:$i, Z1:$i, Z2:($i > $i) > $i > $i]:(c_Inj1 @ c_Empty)) @ (c_Inj1 @ (c_Inj1 @ (X98 @ (^[Z0/* 32 */:($i > $i) > $i > $i]:(c_Empty))))) @ (c_Inj1 @ (c_setsum @ (c_setsum @ (c_Inj0 @ c_Empty) @ c_Empty) @ (c_Inj1 @ (c_Inj0 @ c_Empty))))))))=>(![X91:$i > $i, X92:$i, X93:$i > $i, X94:$i]:(((X55 @ (^[Z0/* 19 */:$i, Z1:$i, Z2:($i > $i) > $i > $i]:(c_Empty)) @ (X91 @ c_Empty) @ X94)=>(c_False)))=>(c_False)))))))))))|(c_not @ $true))=>(epred1_0)), inference(split_equiv,[status(thm)],[c_0_3])). 27.15/7.24 thf(c_0_7, negated_conjecture, ![X256:(($i > $i > $i) > ($i > $i) > $i > $i) > $i, X257:$i, X258:$i, X259:((($i > $i) > $i > $i) > $i) > $i, X260:$i, X261:$i, X262:$i > (($i > $i) > $i > $i) > $i, X263:((($i > $i) > $i > $i) > ($i > $i) > $i > $i) > ($i > $i > $i) > $i, X264:$i, X265:$i > $i > $i, X266:$i > $i, X267:$i, X268:$i, X269:$i, X270:$i, X271:$i, X272:((($i > $i) > $i > $i) > $i) > $i, X273:$i, X274:$i > $i, X275:$i]:((((~(c_In @ (c_Inj0 @ X258) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ X258 @ (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)))))|(~(epred4_0 @ (^[Z0/* 88 */:$i]:(c_Inj0 @ (c_Inj0 @ c_Empty))) @ (^[Z0/* 19 */:(($i > $i) > $i) > $i, Z1:$i > $i > $i, Z2:$i, Z3:$i]:(Z2)) @ (c_setsum @ (X256 @ (^[Z0/* 19 */:$i > $i > $i, Z1:$i > $i, Z2:$i]:(c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)))) @ c_Empty))|(epred5_0 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(c_Inj0 @ Z0)) @ X257 @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ c_Empty @ c_Empty)) @ (c_Inj0 @ c_Empty)) @ c_Empty)))|~(epred1_0))&((~(epred5_0 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(c_Empty)) @ X261 @ (c_setsum @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_Inj0 @ c_Empty))) @ (c_setsum @ c_Empty @ (c_Inj1 @ (c_setsum @ c_Empty @ c_Empty)))))|(epred5_0 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(X261)) @ (c_setsum @ (X259 @ (^[Z0/* -522 */:($i > $i) > $i > $i]:(X261))) @ X260) @ (c_Inj0 @ (c_Inj1 @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty)))))|~(epred1_0))&((~(c_In @ (c_Inj0 @ c_Empty) @ (c_setsum @ c_Empty @ (X262 @ (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)) @ (^[Z0/* 19 */:$i > $i, Z1:$i]:(c_Inj0 @ c_Empty)))))|(~(epred2_0 @ (^[Z0/* 19 */:$i, Z1:$i, Z2:($i > $i) > $i > $i]:(Z0)) @ X264 @ (X263 @ (^[Z0/* 19 */:($i > $i) > $i > $i, Z1:$i > $i, Z2:$i]:(c_Inj1 @ c_Empty)) @ (^[Z0/* 19 */:$i, Z1:$i]:(c_Empty))))|(epred4_0 @ (^[Z0/* 0 */:$i]:(Z0)) @ (^[Z0/* 19 */:(($i > $i) > $i) > $i, Z1:$i > $i > $i, Z2:$i, Z3:$i]:(Z2)) @ (c_setsum @ (c_Inj0 @ c_Empty) @ (X263 @ (^[Z0/* 19 */:($i > $i) > $i > $i, Z1:$i > $i, Z2:$i]:(c_Inj0 @ c_Empty)) @ (^[Z0/* 19 */:$i, Z1:$i]:(Z1))))))|~(epred1_0))&((~(c_In @ (c_Inj0 @ (c_Inj1 @ c_Empty)) @ (c_setsum @ (c_setsum @ (c_Inj0 @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty))) @ (c_setsum @ c_Empty @ (c_setsum @ (c_Inj0 @ c_Empty) @ (X265 @ c_Empty @ c_Empty)))))|(~(epred4_0 @ (^[Z0/* 32 */:$i]:(c_Empty)) @ (^[Z0/* 19 */:(($i > $i) > $i) > $i, Z1:$i > $i > $i, Z2:$i, Z3:$i]:(c_Empty)) @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_Inj0 @ c_Empty))) @ (c_Inj1 @ X267)))|(epred3_0 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(c_Inj0 @ c_Empty)) @ (X265 @ c_Empty @ (X266 @ (c_setsum @ (c_Inj1 @ c_Empty) @ c_Empty)))))|~(epred1_0))&((~(epred5_0 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(c_Empty)) @ c_Empty @ c_Empty)|(epred3_0 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(Z1 @ (^[Z2/* 91 */:$i]:(c_setsum @ (c_Inj1 @ (c_Inj0 @ c_Empty)) @ (c_setsum @ c_Empty @ c_Empty))))) @ c_Empty)|~(epred1_0))&((~(c_In @ (c_Inj0 @ X270) @ (c_setsum @ (c_setsum @ X268 @ (c_setsum @ X269 @ (c_setsum @ c_Empty @ c_Empty))) @ (c_Inj1 @ (c_setsum @ X269 @ c_Empty))))|(~(epred3_0 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(X271)) @ c_Empty)|(epred4_0 @ (^[Z0/* 32 */:$i]:(c_Empty)) @ (^[Z0/* 19 */:(($i > $i) > $i) > $i, Z1:$i > $i > $i, Z2:$i, Z3:$i]:(c_setsum @ c_Empty @ c_Empty)) @ X269))|~(epred1_0))&((~(c_In @ (c_Inj1 @ c_Empty) @ X273)|(~(epred3_0 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(c_Empty)) @ c_Empty)|(epred2_0 @ (^[Z0/* 19 */:$i, Z1:$i, Z2:($i > $i) > $i > $i]:(c_Inj1 @ c_Empty)) @ (c_Inj1 @ (c_Inj1 @ (X272 @ (^[Z0/* 32 */:($i > $i) > $i > $i]:(c_Empty))))) @ (c_Inj1 @ (c_setsum @ (c_setsum @ (c_Inj0 @ c_Empty) @ c_Empty) @ (c_Inj1 @ (c_Inj0 @ c_Empty))))))|~(epred1_0))&((~(epred2_0 @ (^[Z0/* 19 */:$i, Z1:$i, Z2:($i > $i) > $i > $i]:(c_Empty)) @ (X274 @ c_Empty) @ X275)|(c_False)|~(epred1_0))&(~(c_False)|~(epred1_0))))))))))&(~(c_not @ $false)|~(epred1_0)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_4])])])])])])])). 27.15/7.24 thf(c_0_8, plain, ![X286:$o]:(((~(c_not @ ((X286)))|(~(X286)|(c_False)))&(((X286)|(c_not @ ((X286))))&(~(c_False)|(c_not @ ((X286))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])). 27.15/7.24 thf(c_0_9, plain, ![X290:($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o, X291:($i > (($i > $i) > $i) > $i) > $i > $o, X292:($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o, X293:($i > ($i > $i > $i) > $i) > $i > $i > $o]:((((((((((((X290 @ (^[Z0/* 19 */:$i, Z1:$i, Z2:($i > $i) > $i > $i]:(c_Empty)) @ (esk21_4 @ X290 @ X291 @ X292 @ X293 @ c_Empty) @ (esk22_4 @ X290 @ X291 @ X292 @ X293))|(c_False)|(c_In @ (c_Inj1 @ c_Empty) @ (esk19_4 @ X290 @ X291 @ X292 @ X293))|(c_In @ (c_Inj0 @ (esk17_4 @ X290 @ X291 @ X292 @ X293)) @ (c_setsum @ (c_setsum @ (esk15_4 @ X290 @ X291 @ X292 @ X293) @ (c_setsum @ (esk16_4 @ X290 @ X291 @ X292 @ X293) @ (c_setsum @ c_Empty @ c_Empty))) @ (c_Inj1 @ (c_setsum @ (esk16_4 @ X290 @ X291 @ X292 @ X293) @ c_Empty))))|(X293 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(c_Empty)) @ c_Empty @ c_Empty)|(c_In @ (c_Inj0 @ (c_Inj1 @ c_Empty)) @ (c_setsum @ (c_setsum @ (c_Inj0 @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty))) @ (c_setsum @ c_Empty @ (c_setsum @ (c_Inj0 @ c_Empty) @ (esk12_4 @ X290 @ X291 @ X292 @ X293 @ c_Empty @ c_Empty)))))|(c_In @ (c_Inj0 @ c_Empty) @ (c_setsum @ c_Empty @ (esk9_4 @ X290 @ X291 @ X292 @ X293 @ (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)) @ (^[Z0/* 19 */:$i > $i, Z1:$i]:(c_Inj0 @ c_Empty)))))|(X293 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(c_Empty)) @ (esk8_4 @ X290 @ X291 @ X292 @ X293) @ (c_setsum @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_Inj0 @ c_Empty))) @ (c_setsum @ c_Empty @ (c_Inj1 @ (c_setsum @ c_Empty @ c_Empty)))))|(c_In @ (c_Inj0 @ (esk3_4 @ X290 @ X291 @ X292 @ X293)) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ (esk3_4 @ X290 @ X291 @ X292 @ X293) @ (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)))))|(epred1_0))&(~(c_False)|(c_False)|(c_In @ (c_Inj1 @ c_Empty) @ (esk19_4 @ X290 @ X291 @ X292 @ X293))|(c_In @ (c_Inj0 @ (esk17_4 @ X290 @ X291 @ X292 @ X293)) @ (c_setsum @ (c_setsum @ (esk15_4 @ X290 @ X291 @ X292 @ X293) @ (c_setsum @ (esk16_4 @ X290 @ X291 @ X292 @ X293) @ (c_setsum @ c_Empty @ c_Empty))) @ (c_Inj1 @ (c_setsum @ (esk16_4 @ X290 @ X291 @ X292 @ X293) @ c_Empty))))|(X293 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(c_Empty)) @ c_Empty @ c_Empty)|(c_In @ (c_Inj0 @ (c_Inj1 @ c_Empty)) @ (c_setsum @ (c_setsum @ (c_Inj0 @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty))) @ (c_setsum @ c_Empty @ (c_setsum @ (c_Inj0 @ c_Empty) @ (esk12_4 @ X290 @ X291 @ X292 @ X293 @ c_Empty @ c_Empty)))))|(c_In @ (c_Inj0 @ c_Empty) @ (c_setsum @ c_Empty @ (esk9_4 @ X290 @ X291 @ X292 @ X293 @ (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)) @ (^[Z0/* 19 */:$i > $i, Z1:$i]:(c_Inj0 @ c_Empty)))))|(X293 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(c_Empty)) @ (esk8_4 @ X290 @ X291 @ X292 @ X293) @ (c_setsum @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_Inj0 @ c_Empty))) @ (c_setsum @ c_Empty @ (c_Inj1 @ (c_setsum @ c_Empty @ c_Empty)))))|(c_In @ (c_Inj0 @ (esk3_4 @ X290 @ X291 @ X292 @ X293)) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ (esk3_4 @ X290 @ X291 @ X292 @ X293) @ (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)))))|(epred1_0)))&((((X290 @ (^[Z0/* 19 */:$i, Z1:$i, Z2:($i > $i) > $i > $i]:(c_Empty)) @ (esk21_4 @ X290 @ X291 @ X292 @ X293 @ c_Empty) @ (esk22_4 @ X290 @ X291 @ X292 @ X293))|(c_False)|(X291 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(c_Empty)) @ c_Empty)|(c_In @ (c_Inj0 @ (esk17_4 @ X290 @ X291 @ X292 @ X293)) @ (c_setsum @ (c_setsum @ (esk15_4 @ X290 @ X291 @ X292 @ X293) @ (c_setsum @ (esk16_4 @ X290 @ X291 @ X292 @ X293) @ (c_setsum @ c_Empty @ c_Empty))) @ (c_Inj1 @ (c_setsum @ (esk16_4 @ X290 @ X291 @ X292 @ X293) @ c_Empty))))|(X293 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(c_Empty)) @ c_Empty @ c_Empty)|(c_In @ (c_Inj0 @ (c_Inj1 @ c_Empty)) @ (c_setsum @ (c_setsum @ (c_Inj0 @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty))) @ (c_setsum @ c_Empty @ (c_setsum @ (c_Inj0 @ c_Empty) @ (esk12_4 @ X290 @ X291 @ X292 @ X293 @ c_Empty @ c_Empty)))))|(c_In @ (c_Inj0 @ c_Empty) @ (c_setsum @ c_Empty @ (esk9_4 @ X290 @ X291 @ X292 @ X293 @ (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)) @ (^[Z0/* 19 */:$i > $i, Z1:$i]:(c_Inj0 @ c_Empty)))))|(X293 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(c_Empty)) @ (esk8_4 @ X290 @ X291 @ X292 @ X293) @ (c_setsum @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_Inj0 @ c_Empty))) @ (c_setsum @ c_Empty @ (c_Inj1 @ (c_setsum @ c_Empty @ c_Empty)))))|(c_In @ (c_Inj0 @ (esk3_4 @ X290 @ X291 @ X292 @ X293)) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ (esk3_4 @ X290 @ X291 @ X292 @ X293) @ (c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)))))|(epred1_0))&(~(c_False)|(c_False)|(X291 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(c_Empty)) @ c_Empty)|(c_In @ (c_Inj0 @ (esk17_4 @ X290 @ X291 @ X292 @ X293)) @ (c_setsum @ (c_setsum @ (esk15_4 @ X290 @ X291 @ X292 @ X293) @ (c_setsum @ (esk16_4 @ X290 @ X291 @ 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c_Empty) @ (esk19_4 @ X290 @ X291 @ X292 @ X293))|~(X292 @ (^[Z0/* 32 */:$i]:(c_Empty)) @ (^[Z0/* 19 */:(($i > $i) > $i) > $i, Z1:$i > $i > $i, Z2:$i, Z3:$i]:(c_setsum @ c_Empty @ c_Empty)) @ (esk16_4 @ X290 @ X291 @ X292 @ X293))|~(X291 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(Z1 @ (^[Z2/* 91 */:$i]:(c_setsum @ (c_Inj1 @ (c_Inj0 @ c_Empty)) @ (c_setsum @ c_Empty @ c_Empty))))) @ c_Empty)|~(X291 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(c_Inj0 @ c_Empty)) @ (esk12_4 @ X290 @ X291 @ X292 @ X293 @ c_Empty @ (esk14_4 @ X290 @ X291 @ X292 @ X293 @ (c_setsum @ (c_Inj1 @ c_Empty) @ c_Empty))))|~(X292 @ (^[Z0/* 0 */:$i]:(Z0)) @ (^[Z0/* 19 */:(($i > $i) > $i) > $i, Z1:$i > $i > $i, Z2:$i, Z3:$i]:(Z2)) @ (c_setsum @ (c_Inj0 @ c_Empty) @ (esk10_4 @ X290 @ X291 @ X292 @ X293 @ (^[Z0/* 19 */:($i > $i) > $i > $i, Z1:$i > $i, Z2:$i]:(c_Inj0 @ c_Empty)) @ (^[Z0/* 19 */:$i, Z1:$i]:(Z1)))))|~(X293 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(esk8_4 @ X290 @ X291 @ X292 @ X293)) @ (c_setsum @ (esk6_4 @ X290 @ X291 @ X292 @ X293 @ (^[Z0/* 140 */:($i > $i) > $i > $i]:(esk8_4 @ X290 @ X291 @ X292 @ X293))) @ (esk7_4 @ X290 @ X291 @ X292 @ X293)) @ (c_Inj0 @ (c_Inj1 @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty)))))|~(X293 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(c_Inj0 @ Z0)) @ (esk5_4 @ X290 @ X291 @ X292 @ X293) @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ c_Empty @ c_Empty)) @ (c_Inj0 @ c_Empty)) @ c_Empty))|(epred1_0)))&((((X290 @ (^[Z0/* 19 */:$i, Z1:$i, Z2:($i > $i) > $i > $i]:(c_Empty)) @ (esk21_4 @ X290 @ X291 @ X292 @ X293 @ c_Empty) @ (esk22_4 @ X290 @ X291 @ X292 @ X293))|(c_False)|(X291 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(c_Empty)) @ c_Empty)|~(X292 @ (^[Z0/* 32 */:$i]:(c_Empty)) @ (^[Z0/* 19 */:(($i > $i) > $i) > $i, Z1:$i > $i > $i, Z2:$i, Z3:$i]:(c_setsum @ c_Empty @ c_Empty)) @ (esk16_4 @ X290 @ X291 @ X292 @ X293))|~(X291 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(Z1 @ (^[Z2/* 91 */:$i]:(c_setsum @ (c_Inj1 @ (c_Inj0 @ c_Empty)) @ (c_setsum @ c_Empty @ c_Empty))))) @ c_Empty)|~(X291 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(c_Inj0 @ c_Empty)) @ (esk12_4 @ X290 @ X291 @ X292 @ X293 @ c_Empty @ (esk14_4 @ X290 @ X291 @ X292 @ X293 @ (c_setsum @ (c_Inj1 @ c_Empty) @ c_Empty))))|~(X292 @ (^[Z0/* 0 */:$i]:(Z0)) @ (^[Z0/* 19 */:(($i > $i) > $i) > $i, Z1:$i > $i > $i, Z2:$i, Z3:$i]:(Z2)) @ (c_setsum @ (c_Inj0 @ c_Empty) @ (esk10_4 @ X290 @ X291 @ X292 @ X293 @ (^[Z0/* 19 */:($i > $i) > $i > $i, Z1:$i > $i, Z2:$i]:(c_Inj0 @ c_Empty)) @ (^[Z0/* 19 */:$i, Z1:$i]:(Z1)))))|~(X293 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(esk8_4 @ X290 @ X291 @ X292 @ X293)) @ (c_setsum @ (esk6_4 @ X290 @ X291 @ X292 @ X293 @ (^[Z0/* 140 */:($i > $i) > $i > $i]:(esk8_4 @ X290 @ X291 @ X292 @ X293))) @ (esk7_4 @ X290 @ X291 @ X292 @ X293)) @ (c_Inj0 @ (c_Inj1 @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty)))))|~(X293 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(c_Inj0 @ Z0)) @ (esk5_4 @ X290 @ X291 @ X292 @ X293) @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ c_Empty @ c_Empty)) @ (c_Inj0 @ c_Empty)) @ c_Empty))|(epred1_0))&(~(c_False)|(c_False)|(X291 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(c_Empty)) @ c_Empty)|~(X292 @ (^[Z0/* 32 */:$i]:(c_Empty)) @ (^[Z0/* 19 */:(($i > $i) > $i) > $i, Z1:$i > $i > $i, Z2:$i, Z3:$i]:(c_setsum @ c_Empty @ c_Empty)) @ (esk16_4 @ X290 @ X291 @ X292 @ X293))|~(X291 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(Z1 @ (^[Z2/* 91 */:$i]:(c_setsum @ (c_Inj1 @ (c_Inj0 @ c_Empty)) @ (c_setsum @ c_Empty @ c_Empty))))) @ c_Empty)|~(X291 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(c_Inj0 @ c_Empty)) @ (esk12_4 @ X290 @ X291 @ X292 @ X293 @ c_Empty @ (esk14_4 @ X290 @ X291 @ X292 @ X293 @ (c_setsum @ (c_Inj1 @ c_Empty) @ c_Empty))))|~(X292 @ (^[Z0/* 0 */:$i]:(Z0)) @ (^[Z0/* 19 */:(($i > $i) > $i) > $i, Z1:$i > $i > $i, Z2:$i, Z3:$i]:(Z2)) @ (c_setsum @ (c_Inj0 @ c_Empty) @ (esk10_4 @ X290 @ X291 @ X292 @ X293 @ (^[Z0/* 19 */:($i > $i) > $i > $i, Z1:$i > $i, Z2:$i]:(c_Inj0 @ c_Empty)) @ (^[Z0/* 19 */:$i, Z1:$i]:(Z1)))))|~(X293 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(esk8_4 @ X290 @ X291 @ X292 @ X293)) @ (c_setsum @ (esk6_4 @ X290 @ X291 @ X292 @ X293 @ (^[Z0/* 140 */:($i > $i) > $i > $i]:(esk8_4 @ X290 @ X291 @ X292 @ X293))) @ (esk7_4 @ X290 @ X291 @ X292 @ X293)) @ (c_Inj0 @ (c_Inj1 @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty)))))|~(X293 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(c_Inj0 @ Z0)) @ (esk5_4 @ X290 @ X291 @ X292 @ X293) @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ c_Empty @ c_Empty)) @ (c_Inj0 @ c_Empty)) @ c_Empty))|(epred1_0)))&(((X290 @ (^[Z0/* 19 */:$i, Z1:$i, Z2:($i > $i) > $i > $i]:(c_Empty)) @ (esk21_4 @ X290 @ X291 @ X292 @ X293 @ c_Empty) @ (esk22_4 @ X290 @ X291 @ X292 @ X293))|(c_False)|~(X290 @ (^[Z0/* 19 */:$i, Z1:$i, Z2:($i > $i) > $i > $i]:(c_Inj1 @ c_Empty)) @ (c_Inj1 @ (c_Inj1 @ (esk20_4 @ X290 @ X291 @ X292 @ X293 @ (^[Z0/* 32 */:($i > $i) > $i > $i]:(c_Empty))))) @ (c_Inj1 @ (c_setsum @ (c_setsum @ (c_Inj0 @ c_Empty) @ c_Empty) @ (c_Inj1 @ (c_Inj0 @ c_Empty)))))|~(X292 @ (^[Z0/* 32 */:$i]:(c_Empty)) @ (^[Z0/* 19 */:(($i > $i) > $i) > $i, Z1:$i > $i > $i, Z2:$i, Z3:$i]:(c_setsum @ c_Empty @ c_Empty)) @ (esk16_4 @ X290 @ X291 @ X292 @ X293))|~(X291 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(Z1 @ (^[Z2/* 91 */:$i]:(c_setsum @ (c_Inj1 @ (c_Inj0 @ c_Empty)) @ (c_setsum @ c_Empty @ c_Empty))))) @ c_Empty)|~(X291 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(c_Inj0 @ c_Empty)) @ (esk12_4 @ X290 @ X291 @ X292 @ X293 @ c_Empty @ (esk14_4 @ X290 @ X291 @ X292 @ X293 @ (c_setsum @ (c_Inj1 @ c_Empty) @ c_Empty))))|~(X292 @ (^[Z0/* 0 */:$i]:(Z0)) @ (^[Z0/* 19 */:(($i > $i) > $i) > $i, Z1:$i > $i > $i, Z2:$i, Z3:$i]:(Z2)) @ (c_setsum @ (c_Inj0 @ c_Empty) @ (esk10_4 @ X290 @ X291 @ X292 @ X293 @ (^[Z0/* 19 */:($i > $i) > $i > $i, Z1:$i > $i, Z2:$i]:(c_Inj0 @ c_Empty)) @ (^[Z0/* 19 */:$i, Z1:$i]:(Z1)))))|~(X293 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(esk8_4 @ X290 @ X291 @ X292 @ X293)) @ (c_setsum @ (esk6_4 @ X290 @ X291 @ X292 @ X293 @ (^[Z0/* 140 */:($i > $i) > $i > $i]:(esk8_4 @ X290 @ X291 @ X292 @ X293))) @ (esk7_4 @ X290 @ X291 @ X292 @ X293)) @ (c_Inj0 @ (c_Inj1 @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty)))))|~(X293 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(c_Inj0 @ Z0)) @ (esk5_4 @ X290 @ X291 @ X292 @ X293) @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ c_Empty @ c_Empty)) @ (c_Inj0 @ c_Empty)) @ c_Empty))|(epred1_0))&(~(c_False)|(c_False)|~(X290 @ (^[Z0/* 19 */:$i, Z1:$i, Z2:($i > $i) > $i > $i]:(c_Inj1 @ c_Empty)) @ (c_Inj1 @ (c_Inj1 @ (esk20_4 @ X290 @ X291 @ X292 @ X293 @ (^[Z0/* 32 */:($i > $i) > $i > $i]:(c_Empty))))) @ (c_Inj1 @ (c_setsum @ (c_setsum @ (c_Inj0 @ c_Empty) @ c_Empty) @ (c_Inj1 @ (c_Inj0 @ c_Empty)))))|~(X292 @ (^[Z0/* 32 */:$i]:(c_Empty)) @ (^[Z0/* 19 */:(($i > $i) > $i) > $i, Z1:$i > $i > $i, Z2:$i, Z3:$i]:(c_setsum @ c_Empty @ c_Empty)) @ (esk16_4 @ X290 @ X291 @ X292 @ X293))|~(X291 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(Z1 @ (^[Z2/* 91 */:$i]:(c_setsum @ (c_Inj1 @ (c_Inj0 @ c_Empty)) @ (c_setsum @ c_Empty @ c_Empty))))) @ c_Empty)|~(X291 @ (^[Z0/* 19 */:$i, Z1:($i > $i) > $i]:(c_Inj0 @ c_Empty)) @ (esk12_4 @ X290 @ X291 @ X292 @ X293 @ c_Empty @ (esk14_4 @ X290 @ X291 @ X292 @ X293 @ (c_setsum @ (c_Inj1 @ c_Empty) @ c_Empty))))|~(X292 @ (^[Z0/* 0 */:$i]:(Z0)) @ (^[Z0/* 19 */:(($i > $i) > $i) > $i, Z1:$i > $i > $i, Z2:$i, Z3:$i]:(Z2)) @ (c_setsum @ (c_Inj0 @ c_Empty) @ (esk10_4 @ X290 @ X291 @ X292 @ X293 @ (^[Z0/* 19 */:($i > $i) > $i > $i, Z1:$i > $i, Z2:$i]:(c_Inj0 @ c_Empty)) @ (^[Z0/* 19 */:$i, Z1:$i]:(Z1)))))|~(X293 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(esk8_4 @ X290 @ X291 @ X292 @ X293)) @ (c_setsum @ (esk6_4 @ X290 @ X291 @ X292 @ X293 @ (^[Z0/* 140 */:($i > $i) > $i > $i]:(esk8_4 @ X290 @ X291 @ X292 @ X293))) @ (esk7_4 @ X290 @ X291 @ X292 @ X293)) @ (c_Inj0 @ (c_Inj1 @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_setsum @ c_Empty @ c_Empty)))))|~(X293 @ (^[Z0/* 19 */:$i, Z1:$i > $i > $i]:(c_Inj0 @ Z0)) @ (esk5_4 @ X290 @ X291 @ X292 @ X293) @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ c_Empty @ c_Empty)) @ (c_Inj0 @ c_Empty)) @ c_Empty))|(epred1_0)))))))))))))))&(~(c_not @ $true)|(epred1_0)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_6])])])])])])])])). 34.01/7.25 thf(c_0_10, plain, ![X376:$i, X375:$i > $i, X374:$i > $i > $i]:(((esk46_0 @ X374 @ X375 @ X376)=(c_Inj0 @ (c_setsum @ c_Empty @ c_Empty)))), introduced(definition)). 34.01/7.25 thf(c_0_11, plain, ![X346:$i, X345:$i, X344:$i > $i > $i, X343:(($i > $i) > $i) > $i]:(((esk35_0 @ X343 @ X344 @ X345 @ X346)=(X345))), introduced(definition)). 34.01/7.25 thf(c_0_12, plain, ![X369:$i]:(((esk45_0 @ X369)=(c_Inj0 @ (c_Inj0 @ c_Empty)))), introduced(definition)). 34.01/7.25 thf(c_0_13, plain, ![X363:$i > $i > $i, X362:$i, X1:$i]:(((esk42_1 @ X1 @ X362 @ X363)=(X1))), introduced(definition)). 34.01/7.25 thf(c_0_14, plain, ![X361:$i, X360:$i]:(((esk41_0 @ X360 @ X361)=(c_Empty))), introduced(definition)). 34.01/7.25 thf(c_0_15, plain, ![X359:$i, X358:$i > $i, X357:($i > $i) > $i > $i]:(((esk40_0 @ X357 @ X358 @ X359)=(c_Inj1 @ c_Empty))), introduced(definition)). 34.01/7.25 thf(c_0_16, plain, ![X356:($i > $i) > $i > $i, X355:$i, X354:$i]:(((esk39_0 @ X354 @ X355 @ X356)=(X354))), introduced(definition)). 34.01/7.25 thf(c_0_17, plain, ![X341:$i, X340:$i, X339:$i > $i > $i, X338:(($i > $i) > $i) > $i]:(((esk33_0 @ X338 @ X339 @ X340 @ X341)=(c_Empty))), introduced(definition)). 34.01/7.25 thf(c_0_18, plain, ![X323:$i]:(((esk27_0 @ X323)=(c_Empty))), introduced(definition)). 34.01/7.25 thf(c_0_19, plain, ![X329:($i > $i) > $i, X328:$i, X6:$i]:(((esk29_1 @ X6 @ X328 @ X329)=(X6))), introduced(definition)). 34.01/7.25 thf(c_0_20, plain, ![X316:($i > $i) > $i > $i, X315:$i, X314:$i]:(((esk23_0 @ X314 @ X315 @ X316)=(c_Empty))), introduced(definition)). 34.01/7.25 thf(c_0_21, plain, ![X287:$o]:(((~(c_False)|(X287))&(~(epred6_0)|(c_False)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax11])])])])])). 34.01/7.25 thf(c_0_22, negated_conjecture, (~((c_not @ (~($true))))|~((epred1_0))), inference(split_conjunct,[status(thm)],[c_0_7])). 34.01/7.25 thf(c_0_23, plain, (c_not @ (~($true))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_8])])])). 34.01/7.25 thf(c_0_24, plain, ![X55:($i > $i > (($i > $i) > $i > $i) > $i) > $i > $i > $o, X56:($i > (($i > $i) > $i) > $i) > $i > $o, X57:($i > $i) > (((($i > $i) > $i) > $i) > ($i > $i > $i) > $i > $i > $i) > $i > $o, X58:($i > ($i > $i > $i) > $i) > $i > $i > $o]:(((((X55 @ esk23_0 @ (esk21_4 @ X55 @ X56 @ X57 @ X58 @ c_Empty) @ (esk22_4 @ X55 @ X56 @ X57 @ X58)))=(($true)))|(c_False)|(((X56 @ (esk29_1 @ c_Empty) @ c_Empty))=(($true)))|(((X56 @ (esk29_1 @ (esk18_4 @ X55 @ X56 @ X57 @ X58)) @ c_Empty))=(($true)))|(((X58 @ (esk42_1 @ c_Empty) @ c_Empty @ c_Empty))=(($true)))|(((X57 @ esk27_0 @ esk33_0 @ (c_setsum @ (c_setsum @ c_Empty @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_Inj0 @ c_Empty))) @ (c_Inj1 @ (esk13_4 @ X55 @ X56 @ X57 @ X58)))))=(($true)))|(((X55 @ esk39_0 @ (esk11_4 @ X55 @ X56 @ X57 @ X58) @ (esk10_4 @ X55 @ X56 @ X57 @ X58 @ esk40_0 @ esk41_0)))=(($true)))|(((X58 @ (esk42_1 @ c_Empty) @ (esk8_4 @ X55 @ X56 @ X57 @ X58) @ (c_setsum @ (c_setsum @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ c_Empty) @ (c_setsum @ (c_setsum @ c_Empty @ c_Empty) @ (c_Inj0 @ c_Empty))) @ (c_setsum @ c_Empty @ (c_Inj1 @ (c_setsum @ c_Empty @ c_Empty))))))=(($true)))|(((X57 @ esk45_0 @ esk35_0 @ (c_setsum @ (esk4_4 @ X55 @ X56 @ X57 @ X58 @ esk46_0) @ c_Empty)))=(($true)))|(epred1_0))), inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(lift_lambdas,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_9]), c_0_10]), c_0_11]), c_0_12]), c_0_13]), c_0_14]), c_0_15]), c_0_16]), c_0_17]), c_0_18]), c_0_13]), c_0_19]), c_0_19]), c_0_20])). 34.01/7.25 thf(c_0_25, plain, ~((c_False)), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_21])])])). 34.01/7.25 thf(c_0_26, negated_conjecture, ~((epred1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_23])])). 34.01/7.25 thf(c_0_27, plain, ($false), inference(flex_resolve,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[c_0_24]), c_0_25]), c_0_26])]), ['proof']). 34.01/7.25 # SZS output end CNFRefutation 34.01/7.25 # Parsed axioms : 213 34.01/7.25 # Removed by relevancy pruning/SinE : 204 34.01/7.25 # Initial clauses : 1995 34.01/7.25 # Removed in clause preprocessing : 974 34.01/7.25 # Initial clauses in saturation : 1021 34.01/7.25 # Processed clauses : 202 34.01/7.25 # ...of these trivial : 1 34.01/7.25 # ...subsumed : 13 34.01/7.25 # ...remaining for further processing : 187 34.01/7.25 # Other redundant clauses eliminated : 0 34.01/7.25 # Clauses deleted for lack of memory : 0 34.01/7.25 # Backward-subsumed : 0 34.01/7.25 # Backward-rewritten : 0 34.01/7.25 # Generated clauses : 0 34.01/7.25 # ...of the previous two non-redundant : 0 34.01/7.25 # ...aggressively subsumed : 0 34.01/7.25 # Contextual simplify-reflections : 0 34.01/7.25 # Paramodulations : 0 34.01/7.25 # Factorizations : 0 34.01/7.25 # NegExts : 0 34.01/7.25 # Equation resolutions : 0 34.01/7.25 # Disequality decompositions : 0 34.01/7.25 # Total rewrite steps : 5 34.01/7.25 # ...of those cached : 3 34.01/7.25 # Propositional unsat checks : 0 34.01/7.25 # Propositional check models : 0 34.01/7.25 # Propositional check unsatisfiable : 0 34.01/7.25 # Propositional clauses : 0 34.01/7.25 # Propositional clauses after purity: 0 34.01/7.25 # Propositional unsat core size : 0 34.01/7.25 # Propositional preprocessing time : 0.000 34.01/7.25 # Propositional encoding time : 0.000 34.01/7.25 # Propositional solver time : 0.000 34.01/7.25 # Success case prop preproc time : 0.000 34.01/7.25 # Success case prop encoding time : 0.000 34.01/7.25 # Success case prop solver time : 0.000 34.01/7.25 # Current number of processed clauses : 187 34.01/7.25 # Positive orientable unit clauses : 26 34.01/7.25 # Positive unorientable unit clauses: 2 34.01/7.25 # Negative unit clauses : 5 34.01/7.25 # Non-unit-clauses : 154 34.01/7.25 # Current number of unprocessed clauses: 819 34.01/7.25 # ...number of literals in the above : 8190 34.01/7.25 # Current number of archived formulas : 0 34.01/7.25 # Current number of archived clauses : 0 34.01/7.25 # Clause-clause subsumption calls (NU) : 2967 34.01/7.25 # Rec. Clause-clause subsumption calls : 3 34.01/7.25 # Non-unit clause-clause subsumptions : 0 34.01/7.25 # Unit Clause-clause subsumption calls : 6 34.01/7.25 # Rewrite failures with RHS unbound : 0 34.01/7.25 # BW rewrite match attempts : 0 34.01/7.25 # BW rewrite match successes : 0 34.01/7.25 # Condensation attempts : 202 34.01/7.25 # Condensation successes : 0 34.01/7.25 # Termbank termtop insertions : 742003 34.01/7.25 # Search garbage collected termcells : 13567 34.01/7.25 34.01/7.25 # ------------------------------------------------- 34.01/7.25 # User time : 6.717 s 34.01/7.25 # System time : 0.059 s 34.01/7.25 # Total time : 6.776 s 34.01/7.25 # Maximum resident set size: 25292 pages 34.01/7.25 34.01/7.25 # ------------------------------------------------- 34.01/7.25 # User time : 6.726 s 34.01/7.25 # System time : 0.076 s 34.01/7.25 # Total time : 6.802 s 34.01/7.25 # Maximum resident set size: 5384 pages 34.01/7.25 % E exiting 34.01/7.25 % E exiting 34.01/7.25 EOF