0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.12 % Command : run_E %s %d THM 0.12/0.33 % Computer : n021.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 1440 0.12/0.33 % WCLimit : 180 0.12/0.33 % DateTime : Thu Jul 4 10:20:23 EDT 2024 0.12/0.33 % CPUTime : 0.20/0.47 Running higher-order theorem proving 0.20/0.49 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.giRh2updzr/E---3.1_11005.p 4.72/1.09 # Version: 3.2.0-ho 4.72/1.09 # Preprocessing class: HSLSSMSMSSSNSFA. 4.72/1.09 # Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 4.72/1.09 # Starting new_ho_10 with 540s (3) cores 4.72/1.09 # Starting sh2lt with 180s (1) cores 4.72/1.09 # Starting new_ho_5 with 180s (1) cores 4.72/1.09 # Starting full_lambda_5 with 180s (1) cores 4.72/1.09 # Starting sh9 with 180s (1) cores 4.72/1.09 # Starting ehoh_best8_lambda with 180s (1) cores 4.72/1.09 # sh2lt with pid 11084 completed with status 0 4.72/1.09 # Result found by sh2lt 4.72/1.09 # Preprocessing class: HSLSSMSMSSSNSFA. 4.72/1.09 # Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 4.72/1.09 # Starting new_ho_10 with 540s (3) cores 4.72/1.09 # Starting sh2lt with 180s (1) cores 4.72/1.09 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 4.72/1.09 # Search class: HGHSM-FFMS32-MSFFFFNN 4.72/1.09 # partial match(2): FGHSM-FFMS32-MFFFFFNN 4.72/1.09 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 4.72/1.09 # Starting SAT001_MinMin_p005000_rr_RG with 54s (1) cores 4.72/1.09 # SAT001_MinMin_p005000_rr_RG with pid 11089 completed with status 0 4.72/1.09 # Result found by SAT001_MinMin_p005000_rr_RG 4.72/1.09 # Preprocessing class: HSLSSMSMSSSNSFA. 4.72/1.09 # Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 4.72/1.09 # Starting new_ho_10 with 540s (3) cores 4.72/1.09 # Starting sh2lt with 180s (1) cores 4.72/1.09 # SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 4.72/1.09 # Search class: HGHSM-FFMS32-MSFFFFNN 4.72/1.09 # partial match(2): FGHSM-FFMS32-MFFFFFNN 4.72/1.09 # Scheduled 6 strats onto 1 cores with 180 seconds (180 total) 4.72/1.09 # Starting SAT001_MinMin_p005000_rr_RG with 54s (1) cores 4.72/1.09 # Preprocessing time : 0.003 s 4.72/1.09 # Presaturation interreduction done 4.72/1.09 4.72/1.09 # Proof found! 4.72/1.09 # SZS status Theorem 4.72/1.09 # SZS output start CNFRefutation 4.72/1.09 thf(decl_sort1, type, del: $tType). 4.72/1.09 thf(decl_22, type, bool: del). 4.72/1.09 thf(decl_24, type, arr: del > del > del). 4.72/1.09 thf(decl_25, type, mem: $i > del > $o). 4.72/1.09 thf(decl_26, type, ap: $i > $i > $i). 4.72/1.09 thf(decl_28, type, p: $i > $o). 4.72/1.09 thf(decl_30, type, ty_2Eoption_2Eoption: del > del). 4.72/1.09 thf(decl_31, type, c_2Eoption_2EOPTION__JOIN: del > $i). 4.72/1.09 thf(decl_32, type, c_2Eoption_2EOPTION__MAP: del > del > $i). 4.72/1.09 thf(decl_33, type, c_2Eoption_2Eoption__CASE: del > del > $i). 4.72/1.09 thf(decl_35, type, c_2Eoption_2EIS__NONE: del > $i). 4.72/1.09 thf(decl_38, type, c_2Eoption_2EIS__SOME: del > $i). 4.72/1.09 thf(decl_40, type, c_2Eoption_2ETHE: del > $i). 4.72/1.09 thf(decl_41, type, c_2Eoption_2ESOME: del > $i). 4.72/1.09 thf(decl_43, type, c_2Eoption_2ENONE: del > $i). 4.72/1.09 thf(decl_46, type, c_2Eoption_2EOPTREL: del > del > $i). 4.72/1.09 thf(decl_49, type, epred1_5: del > del > $i > $i > $i > $o). 4.72/1.09 thf(decl_50, type, esk1_0: del). 4.72/1.09 thf(decl_51, type, esk2_0: $i). 4.72/1.09 thf(decl_52, type, esk3_0: $i). 4.72/1.09 thf(decl_53, type, esk4_0: $i). 4.72/1.09 thf(decl_56, type, esk7_5: del > del > $i > $i > $i > $i). 4.72/1.09 thf(decl_57, type, esk8_5: del > del > $i > $i > $i > $i). 4.72/1.09 thf(conj_thm_2Eoption_2Eoption__CLAUSES, axiom, ![X11:del, X16:del, X20:$i]:(((mem @ X20 @ X16)=>![X21:$i]:(((mem @ X21 @ (arr @ X11 @ X16))=>![X22:$i]:(((mem @ X22 @ (ty_2Eoption_2Eoption @ X11))=>(((((((((((((((((((![X23:$i]:((((p @ (ap @ (c_2Eoption_2EIS__NONE @ X11) @ X23))<=>((X23)=(c_2Eoption_2ENONE @ X11)))<=(mem @ X23 @ (ty_2Eoption_2Eoption @ X11))))&![X24:$i]:(((mem @ X24 @ (ty_2Eoption_2Eoption @ X11))=>(~((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ X24)))<=>((X24)=(c_2Eoption_2ENONE @ X11))))))&![X25:$i]:(((mem @ X25 @ (ty_2Eoption_2Eoption @ X11))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ (ty_2Eoption_2Eoption @ X11)) @ X25) @ (c_2Eoption_2ENONE @ X11)) @ (c_2Eoption_2ESOME @ X11))=(X25)))))&![X26:$i]:((((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ (ty_2Eoption_2Eoption @ X11)) @ X26) @ X26) @ (c_2Eoption_2ESOME @ X11))=(X26))<=(mem @ X26 @ (ty_2Eoption_2Eoption @ X11)))))&![X27:$i]:(((((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ (ty_2Eoption_2Eoption @ X11)) @ X27) @ X22) @ (c_2Eoption_2ESOME @ X11))=(X27))<=(p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ X27)))<=(mem @ X27 @ (ty_2Eoption_2Eoption @ X11)))))&![X28:$i]:(((mem @ X28 @ X16)=>![X29:$i]:((((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ X16) @ (c_2Eoption_2ENONE @ X11)) @ X28) @ X29)=(X28))<=(mem @ X29 @ (arr @ X11 @ X16)))))))&![X30:$i]:(((mem @ X30 @ (arr @ X11 @ X16))=>((ap @ (ap @ (c_2Eoption_2EOPTION__MAP @ X11 @ X16) @ X30) @ (c_2Eoption_2ENONE @ X11))=(c_2Eoption_2ENONE @ X16)))))&![X31:$i]:((((ap @ (c_2Eoption_2EOPTION__JOIN @ X11) @ (ap @ (c_2Eoption_2ESOME @ (ty_2Eoption_2Eoption @ X11)) @ X31))=(X31))<=(mem @ X31 @ (ty_2Eoption_2Eoption @ X11)))))&((ap @ (c_2Eoption_2EOPTION__JOIN @ X11) @ (c_2Eoption_2ENONE @ (ty_2Eoption_2Eoption @ X11)))=(c_2Eoption_2ENONE @ X11)))&![X32:$i]:((![X33:$i]:(((mem @ X33 @ X11)=>((ap @ (ap @ (c_2Eoption_2EOPTION__MAP @ X11 @ X16) @ X32) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X33))=(ap @ (c_2Eoption_2ESOME @ X16) @ (ap @ X32 @ X33)))))<=(mem @ X32 @ (arr @ X11 @ X16)))))&![X34:$i]:((![X35:$i]:(((mem @ X35 @ X16)=>![X36:$i]:(((mem @ X36 @ (arr @ X11 @ X16))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ X16) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X34)) @ X35) @ X36)=(ap @ X36 @ X34))))))<=(mem @ X34 @ X11))))&![X37:$i]:((((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ X37))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ X16) @ X37) @ X20) @ X21)=(ap @ X21 @ (ap @ (c_2Eoption_2ETHE @ X11) @ X37))))<=(mem @ X37 @ (ty_2Eoption_2Eoption @ X11)))))&![X38:$i]:(((mem @ X38 @ (ty_2Eoption_2Eoption @ X11))=>((p @ (ap @ (c_2Eoption_2EIS__NONE @ X11) @ X38))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ X16) @ X38) @ X20) @ X21)=(X20))))))&![X39:$i]:(((mem @ X39 @ (ty_2Eoption_2Eoption @ X11))=>(((ap @ (c_2Eoption_2ESOME @ X11) @ (ap @ (c_2Eoption_2ETHE @ X11) @ X39))=(X39))<=(p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ X39))))))&((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ (c_2Eoption_2ENONE @ X11)))<=>~($true)))&![X40:$i]:((((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X40)))<=>($true))<=(mem @ X40 @ X11))))&![X41:$i]:(((mem @ X41 @ X11)=>((ap @ (c_2Eoption_2ESOME @ X11) @ X41)!=(c_2Eoption_2ENONE @ X11)))))&![X42:$i]:(((mem @ X42 @ X11)=>((c_2Eoption_2ENONE @ X11)!=(ap @ (c_2Eoption_2ESOME @ X11) @ X42)))))&![X43:$i]:(((mem @ X43 @ X11)=>((ap @ (c_2Eoption_2ETHE @ X11) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X43))=(X43)))))&![X44:$i]:((![X45:$i]:(((mem @ X45 @ X11)=>(((X44)=(X45))<=>((ap @ (c_2Eoption_2ESOME @ X11) @ X44)=(ap @ (c_2Eoption_2ESOME @ X11) @ X45)))))<=(mem @ X44 @ X11)))))))))), file('/export/starexec/sandbox/tmp/tmp.giRh2updzr/E---3.1_11005.p', conj_thm_2Eoption_2Eoption__CLAUSES)). 4.72/1.09 thf(mem_c_2Eoption_2ESOME, axiom, ![X11:del]:((mem @ (c_2Eoption_2ESOME @ X11) @ (arr @ X11 @ (ty_2Eoption_2Eoption @ X11)))), file('/export/starexec/sandbox/tmp/tmp.giRh2updzr/E---3.1_11005.p', mem_c_2Eoption_2ESOME)). 4.72/1.09 thf(ax_thm_2Eoption_2EOPTREL__def, axiom, ![X11:del, X16:del, X12:$i]:(((mem @ X12 @ (arr @ X11 @ (arr @ X16 @ bool)))=>![X13:$i]:(((mem @ X13 @ (ty_2Eoption_2Eoption @ X11))=>![X14:$i]:(((((((X13)=(c_2Eoption_2ENONE @ X11))&((X14)=(c_2Eoption_2ENONE @ X16)))|?[X48:$i]:((?[X49:$i]:(((((mem @ X49 @ X16)&((X13)=(ap @ (c_2Eoption_2ESOME @ X11) @ X48)))&((X14)=(ap @ (c_2Eoption_2ESOME @ X16) @ X49)))&(p @ (ap @ (ap @ X12 @ X48) @ X49))))&(mem @ X48 @ X11))))<=>(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X11 @ X16) @ X12) @ X13) @ X14)))<=(mem @ X14 @ (ty_2Eoption_2Eoption @ X16)))))))), file('/export/starexec/sandbox/tmp/tmp.giRh2updzr/E---3.1_11005.p', ax_thm_2Eoption_2EOPTREL__def)). 4.72/1.09 thf(ap_tp, axiom, ![X1:del, X2:del, X3:$i]:((![X4:$i]:(((mem @ (ap @ X3 @ X4) @ X2)<=(mem @ X4 @ X1)))<=(mem @ X3 @ (arr @ X1 @ X2)))), file('/export/starexec/sandbox/tmp/tmp.giRh2updzr/E---3.1_11005.p', ap_tp)). 4.72/1.09 thf(mem_c_2Eoption_2ENONE, axiom, ![X11:del]:((mem @ (c_2Eoption_2ENONE @ X11) @ (ty_2Eoption_2Eoption @ X11))), file('/export/starexec/sandbox/tmp/tmp.giRh2updzr/E---3.1_11005.p', mem_c_2Eoption_2ENONE)). 4.72/1.09 thf(conj_thm_2Equotient__option_2EOPTION__REL__def, conjecture, ![X11:del, X12:$i]:((![X13:$i]:((![X14:$i]:(((((((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X11 @ X11) @ X12) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X13)) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X14)))<=>(p @ (ap @ (ap @ X12 @ X13) @ X14)))&(~($true)<=>(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X11 @ X11) @ X12) @ (c_2Eoption_2ENONE @ X11)) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X14)))))&(~($true)<=>(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X11 @ X11) @ X12) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X13)) @ (c_2Eoption_2ENONE @ X11)))))&((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X11 @ X11) @ X12) @ (c_2Eoption_2ENONE @ X11)) @ (c_2Eoption_2ENONE @ X11)))<=>($true)))<=(mem @ X14 @ X11)))<=(mem @ X13 @ X11)))<=(mem @ X12 @ (arr @ X11 @ (arr @ X11 @ bool))))), file('/export/starexec/sandbox/tmp/tmp.giRh2updzr/E---3.1_11005.p', conj_thm_2Equotient__option_2EOPTION__REL__def)). 4.72/1.09 thf(c_0_6, plain, ![X22:$i, X21:$i, X20:$i, X16:del, X11:del]:(((epred1_5 @ X11 @ X16 @ X20 @ X21 @ X22)<=>(((((((((((((((((((![X23:$i]:(((mem @ X23 @ (ty_2Eoption_2Eoption @ X11))=>((p @ (ap @ (c_2Eoption_2EIS__NONE @ X11) @ X23))<=>((X23)=(c_2Eoption_2ENONE @ X11)))))&![X24:$i]:(((mem @ X24 @ (ty_2Eoption_2Eoption @ X11))=>(~(p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ X24))<=>((X24)=(c_2Eoption_2ENONE @ X11))))))&![X25:$i]:(((mem @ X25 @ (ty_2Eoption_2Eoption @ X11))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ (ty_2Eoption_2Eoption @ X11)) @ X25) @ (c_2Eoption_2ENONE @ X11)) @ (c_2Eoption_2ESOME @ X11))=(X25)))))&![X26:$i]:(((mem @ X26 @ (ty_2Eoption_2Eoption @ X11))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ (ty_2Eoption_2Eoption @ X11)) @ X26) @ X26) @ (c_2Eoption_2ESOME @ X11))=(X26)))))&![X27:$i]:(((mem @ X27 @ (ty_2Eoption_2Eoption @ X11))=>((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ X27))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ (ty_2Eoption_2Eoption @ X11)) @ X27) @ X22) @ (c_2Eoption_2ESOME @ X11))=(X27))))))&![X28:$i]:(((mem @ X28 @ X16)=>![X29:$i]:(((mem @ X29 @ (arr @ X11 @ X16))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ X16) @ (c_2Eoption_2ENONE @ X11)) @ X28) @ X29)=(X28)))))))&![X30:$i]:(((mem @ X30 @ (arr @ X11 @ X16))=>((ap @ (ap @ (c_2Eoption_2EOPTION__MAP @ X11 @ X16) @ X30) @ (c_2Eoption_2ENONE @ X11))=(c_2Eoption_2ENONE @ X16)))))&![X31:$i]:(((mem @ X31 @ (ty_2Eoption_2Eoption @ X11))=>((ap @ (c_2Eoption_2EOPTION__JOIN @ X11) @ (ap @ (c_2Eoption_2ESOME @ (ty_2Eoption_2Eoption @ X11)) @ X31))=(X31)))))&((ap @ (c_2Eoption_2EOPTION__JOIN @ X11) @ (c_2Eoption_2ENONE @ (ty_2Eoption_2Eoption @ X11)))=(c_2Eoption_2ENONE @ X11)))&![X32:$i]:(((mem @ X32 @ (arr @ X11 @ X16))=>![X33:$i]:(((mem @ X33 @ X11)=>((ap @ (ap @ (c_2Eoption_2EOPTION__MAP @ X11 @ X16) @ X32) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X33))=(ap @ (c_2Eoption_2ESOME @ X16) @ (ap @ X32 @ X33))))))))&![X34:$i]:(((mem @ X34 @ X11)=>![X35:$i]:(((mem @ X35 @ X16)=>![X36:$i]:(((mem @ X36 @ (arr @ X11 @ X16))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ X16) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X34)) @ X35) @ X36)=(ap @ X36 @ X34)))))))))&![X37:$i]:(((mem @ X37 @ (ty_2Eoption_2Eoption @ X11))=>((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ X37))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ X16) @ X37) @ X20) @ X21)=(ap @ X21 @ (ap @ (c_2Eoption_2ETHE @ X11) @ X37)))))))&![X38:$i]:(((mem @ X38 @ (ty_2Eoption_2Eoption @ X11))=>((p @ (ap @ (c_2Eoption_2EIS__NONE @ X11) @ X38))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ X16) @ X38) @ X20) @ X21)=(X20))))))&![X39:$i]:(((mem @ X39 @ (ty_2Eoption_2Eoption @ X11))=>((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ X39))=>((ap @ (c_2Eoption_2ESOME @ X11) @ (ap @ (c_2Eoption_2ETHE @ X11) @ X39))=(X39))))))&((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ (c_2Eoption_2ENONE @ X11)))<=>~($true)))&![X40:$i]:(((mem @ X40 @ X11)=>((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X40)))<=>$true))))&![X41:$i]:(((mem @ X41 @ X11)=>((ap @ (c_2Eoption_2ESOME @ X11) @ X41)!=(c_2Eoption_2ENONE @ X11)))))&![X42:$i]:(((mem @ X42 @ X11)=>((c_2Eoption_2ENONE @ X11)!=(ap @ (c_2Eoption_2ESOME @ X11) @ X42)))))&![X43:$i]:(((mem @ X43 @ X11)=>((ap @ (c_2Eoption_2ETHE @ X11) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X43))=(X43)))))&![X44:$i]:(((mem @ X44 @ X11)=>![X45:$i]:(((mem @ X45 @ X11)=>(((X44)=(X45))<=>((ap @ (c_2Eoption_2ESOME @ X11) @ X44)=(ap @ (c_2Eoption_2ESOME @ X11) @ X45)))))))))), introduced(definition)). 4.72/1.09 thf(c_0_7, plain, ![X22:$i, X21:$i, X20:$i, X16:del, X11:del]:(((epred1_5 @ X11 @ X16 @ X20 @ X21 @ X22)=>(((((((((((((((((((![X23:$i]:(((mem @ X23 @ (ty_2Eoption_2Eoption @ X11))=>((p @ (ap @ (c_2Eoption_2EIS__NONE @ X11) @ X23))<=>((X23)=(c_2Eoption_2ENONE @ X11)))))&![X24:$i]:(((mem @ X24 @ (ty_2Eoption_2Eoption @ X11))=>(~(p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ X24))<=>((X24)=(c_2Eoption_2ENONE @ X11))))))&![X25:$i]:(((mem @ X25 @ (ty_2Eoption_2Eoption @ X11))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ (ty_2Eoption_2Eoption @ X11)) @ X25) @ (c_2Eoption_2ENONE @ X11)) @ (c_2Eoption_2ESOME @ X11))=(X25)))))&![X26:$i]:(((mem @ X26 @ (ty_2Eoption_2Eoption @ X11))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ (ty_2Eoption_2Eoption @ X11)) @ X26) @ X26) @ (c_2Eoption_2ESOME @ X11))=(X26)))))&![X27:$i]:(((mem @ X27 @ (ty_2Eoption_2Eoption @ X11))=>((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ X27))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ (ty_2Eoption_2Eoption @ X11)) @ X27) @ X22) @ (c_2Eoption_2ESOME @ X11))=(X27))))))&![X28:$i]:(((mem @ X28 @ X16)=>![X29:$i]:(((mem @ X29 @ (arr @ X11 @ X16))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ X16) @ (c_2Eoption_2ENONE @ X11)) @ X28) @ X29)=(X28)))))))&![X30:$i]:(((mem @ X30 @ (arr @ X11 @ X16))=>((ap @ (ap @ (c_2Eoption_2EOPTION__MAP @ X11 @ X16) @ X30) @ (c_2Eoption_2ENONE @ X11))=(c_2Eoption_2ENONE @ X16)))))&![X31:$i]:(((mem @ X31 @ (ty_2Eoption_2Eoption @ X11))=>((ap @ (c_2Eoption_2EOPTION__JOIN @ X11) @ (ap @ (c_2Eoption_2ESOME @ (ty_2Eoption_2Eoption @ X11)) @ X31))=(X31)))))&((ap @ (c_2Eoption_2EOPTION__JOIN @ X11) @ (c_2Eoption_2ENONE @ (ty_2Eoption_2Eoption @ X11)))=(c_2Eoption_2ENONE @ X11)))&![X32:$i]:(((mem @ X32 @ (arr @ X11 @ X16))=>![X33:$i]:(((mem @ X33 @ X11)=>((ap @ (ap @ (c_2Eoption_2EOPTION__MAP @ X11 @ X16) @ X32) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X33))=(ap @ (c_2Eoption_2ESOME @ X16) @ (ap @ X32 @ X33))))))))&![X34:$i]:(((mem @ X34 @ X11)=>![X35:$i]:(((mem @ X35 @ X16)=>![X36:$i]:(((mem @ X36 @ (arr @ X11 @ X16))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ X16) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X34)) @ X35) @ X36)=(ap @ X36 @ X34)))))))))&![X37:$i]:(((mem @ X37 @ (ty_2Eoption_2Eoption @ X11))=>((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ X37))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ X16) @ X37) @ X20) @ X21)=(ap @ X21 @ (ap @ (c_2Eoption_2ETHE @ X11) @ X37)))))))&![X38:$i]:(((mem @ X38 @ (ty_2Eoption_2Eoption @ X11))=>((p @ (ap @ (c_2Eoption_2EIS__NONE @ X11) @ X38))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ X16) @ X38) @ X20) @ X21)=(X20))))))&![X39:$i]:(((mem @ X39 @ (ty_2Eoption_2Eoption @ X11))=>((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ X39))=>((ap @ (c_2Eoption_2ESOME @ X11) @ (ap @ (c_2Eoption_2ETHE @ X11) @ X39))=(X39))))))&((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ (c_2Eoption_2ENONE @ X11)))<=>~($true)))&![X40:$i]:(((mem @ X40 @ X11)=>((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X40)))<=>$true))))&![X41:$i]:(((mem @ X41 @ X11)=>((ap @ (c_2Eoption_2ESOME @ X11) @ X41)!=(c_2Eoption_2ENONE @ X11)))))&![X42:$i]:(((mem @ X42 @ X11)=>((c_2Eoption_2ENONE @ X11)!=(ap @ (c_2Eoption_2ESOME @ X11) @ X42)))))&![X43:$i]:(((mem @ X43 @ X11)=>((ap @ (c_2Eoption_2ETHE @ X11) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X43))=(X43)))))&![X44:$i]:(((mem @ X44 @ X11)=>![X45:$i]:(((mem @ X45 @ X11)=>(((X44)=(X45))<=>((ap @ (c_2Eoption_2ESOME @ X11) @ X44)=(ap @ (c_2Eoption_2ESOME @ X11) @ X45)))))))))), inference(split_equiv,[status(thm)],[c_0_6])). 4.72/1.09 thf(c_0_8, plain, ![X11:del, X16:del, X20:$i]:(((mem @ X20 @ X16)=>![X21:$i]:(((mem @ X21 @ (arr @ X11 @ X16))=>![X22:$i]:(((mem @ X22 @ (ty_2Eoption_2Eoption @ X11))=>(epred1_5 @ X11 @ X16 @ X20 @ X21 @ X22))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[conj_thm_2Eoption_2Eoption__CLAUSES]), c_0_6])). 4.72/1.09 thf(c_0_9, plain, ![X173:$i, X174:$i, X175:$i, X176:del, X177:del, X178:$i, X179:$i, X180:$i, X181:$i, X182:$i, X183:$i, X184:$i, X185:$i, X186:$i, X187:$i, X188:$i, X189:$i, X190:$i, X191:$i, X192:$i, X193:$i, X194:$i, X195:$i, X196:$i, X197:$i, X198:$i, X199:$i, X200:$i]:((((((((((((((((((((((~(p @ (ap @ (c_2Eoption_2EIS__NONE @ X177) @ X178))|((X178)=(c_2Eoption_2ENONE @ X177))|~(mem @ X178 @ (ty_2Eoption_2Eoption @ X177))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173))&(((X178)!=(c_2Eoption_2ENONE @ X177))|(p @ (ap @ (c_2Eoption_2EIS__NONE @ X177) @ X178))|~(mem @ X178 @ (ty_2Eoption_2Eoption @ X177))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&(((p @ (ap @ (c_2Eoption_2EIS__SOME @ X177) @ X179))|((X179)=(c_2Eoption_2ENONE @ X177))|~(mem @ X179 @ (ty_2Eoption_2Eoption @ X177))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173))&(((X179)!=(c_2Eoption_2ENONE @ X177))|~(p @ (ap @ (c_2Eoption_2EIS__SOME @ X177) @ X179))|~(mem @ X179 @ (ty_2Eoption_2Eoption @ X177))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173))))&(~(mem @ X180 @ (ty_2Eoption_2Eoption @ X177))|((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X177 @ (ty_2Eoption_2Eoption @ X177)) @ X180) @ (c_2Eoption_2ENONE @ X177)) @ (c_2Eoption_2ESOME @ X177))=(X180))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&(~(mem @ X181 @ (ty_2Eoption_2Eoption @ X177))|((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X177 @ (ty_2Eoption_2Eoption @ X177)) @ X181) @ X181) @ (c_2Eoption_2ESOME @ X177))=(X181))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&(~(mem @ X182 @ (ty_2Eoption_2Eoption @ X177))|(~(p @ (ap @ (c_2Eoption_2EIS__SOME @ X177) @ X182))|((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X177 @ (ty_2Eoption_2Eoption @ X177)) @ X182) @ X173) @ (c_2Eoption_2ESOME @ X177))=(X182)))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&(~(mem @ X183 @ X176)|(~(mem @ X184 @ (arr @ X177 @ X176))|((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X177 @ X176) @ (c_2Eoption_2ENONE @ X177)) @ X183) @ X184)=(X183)))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&(~(mem @ X185 @ (arr @ X177 @ X176))|((ap @ (ap @ (c_2Eoption_2EOPTION__MAP @ X177 @ X176) @ X185) @ (c_2Eoption_2ENONE @ X177))=(c_2Eoption_2ENONE @ X176))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&(~(mem @ X186 @ (ty_2Eoption_2Eoption @ X177))|((ap @ (c_2Eoption_2EOPTION__JOIN @ X177) @ (ap @ (c_2Eoption_2ESOME @ (ty_2Eoption_2Eoption @ X177)) @ X186))=(X186))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&(((ap @ (c_2Eoption_2EOPTION__JOIN @ X177) @ (c_2Eoption_2ENONE @ (ty_2Eoption_2Eoption @ X177)))=(c_2Eoption_2ENONE @ X177))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&(~(mem @ X187 @ (arr @ X177 @ X176))|(~(mem @ X188 @ X177)|((ap @ (ap @ (c_2Eoption_2EOPTION__MAP @ X177 @ X176) @ X187) @ (ap @ (c_2Eoption_2ESOME @ X177) @ X188))=(ap @ (c_2Eoption_2ESOME @ X176) @ (ap @ X187 @ X188))))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&(~(mem @ X189 @ X177)|(~(mem @ X190 @ X176)|(~(mem @ X191 @ (arr @ X177 @ X176))|((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X177 @ X176) @ (ap @ (c_2Eoption_2ESOME @ X177) @ X189)) @ X190) @ X191)=(ap @ X191 @ X189))))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&(~(mem @ X192 @ (ty_2Eoption_2Eoption @ X177))|(~(p @ (ap @ (c_2Eoption_2EIS__SOME @ X177) @ X192))|((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X177 @ X176) @ X192) @ X175) @ X174)=(ap @ X174 @ (ap @ (c_2Eoption_2ETHE @ X177) @ X192))))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&(~(mem @ X193 @ (ty_2Eoption_2Eoption @ X177))|(~(p @ (ap @ (c_2Eoption_2EIS__NONE @ X177) @ X193))|((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X177 @ X176) @ X193) @ X175) @ X174)=(X175)))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&(~(mem @ X194 @ (ty_2Eoption_2Eoption @ X177))|(~(p @ (ap @ (c_2Eoption_2EIS__SOME @ X177) @ X194))|((ap @ (c_2Eoption_2ESOME @ X177) @ (ap @ (c_2Eoption_2ETHE @ X177) @ X194))=(X194)))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&((~(p @ (ap @ (c_2Eoption_2EIS__SOME @ X177) @ (c_2Eoption_2ENONE @ X177)))|~($true)|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173))&(($true)|(p @ (ap @ (c_2Eoption_2EIS__SOME @ X177) @ (c_2Eoption_2ENONE @ X177)))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173))))&((~(p @ (ap @ (c_2Eoption_2EIS__SOME @ X177) @ (ap @ (c_2Eoption_2ESOME @ X177) @ X195)))|($true)|~(mem @ X195 @ X177)|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173))&(~($true)|(p @ (ap @ (c_2Eoption_2EIS__SOME @ X177) @ (ap @ (c_2Eoption_2ESOME @ X177) @ X195)))|~(mem @ X195 @ X177)|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173))))&(~(mem @ X196 @ X177)|((ap @ (c_2Eoption_2ESOME @ X177) @ X196)!=(c_2Eoption_2ENONE @ X177))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&(~(mem @ X197 @ X177)|((c_2Eoption_2ENONE @ X177)!=(ap @ (c_2Eoption_2ESOME @ X177) @ X197))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&(~(mem @ X198 @ X177)|((ap @ (c_2Eoption_2ETHE @ X177) @ (ap @ (c_2Eoption_2ESOME @ X177) @ X198))=(X198))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&((((X199)!=(X200))|((ap @ (c_2Eoption_2ESOME @ X177) @ X199)=(ap @ (c_2Eoption_2ESOME @ X177) @ X200))|~(mem @ X200 @ X177)|~(mem @ X199 @ X177)|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173))&(((ap @ (c_2Eoption_2ESOME @ X177) @ X199)!=(ap @ (c_2Eoption_2ESOME @ X177) @ X200))|((X199)=(X200))|~(mem @ X200 @ X177)|~(mem @ X199 @ X177)|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])])). 4.72/1.09 thf(c_0_10, plain, ![X157:del, X158:del, X159:$i, X160:$i, X161:$i]:((~(mem @ X159 @ X158)|(~(mem @ X160 @ (arr @ X157 @ X158))|(~(mem @ X161 @ (ty_2Eoption_2Eoption @ X157))|(epred1_5 @ X157 @ X158 @ X159 @ X160 @ X161))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])). 4.72/1.09 thf(c_0_11, plain, ![X1:del, X2:del, X3:$i, X4:$i, X9:$i, X10:$i]:((~((mem @ X3 @ X1))|((c_2Eoption_2ENONE @ X1)!=(ap @ (c_2Eoption_2ESOME @ X1) @ X3))|~((epred1_5 @ X1 @ X2 @ X4 @ X9 @ X10)))), inference(split_conjunct,[status(thm)],[c_0_9])). 4.72/1.09 thf(c_0_12, plain, ![X1:del, X3:$i, X4:$i, X9:$i, X2:del]:(((epred1_5 @ X2 @ X1 @ X3 @ X4 @ X9)|~((mem @ X3 @ X1))|~((mem @ X4 @ (arr @ X2 @ X1)))|~((mem @ X9 @ (ty_2Eoption_2Eoption @ X2))))), inference(split_conjunct,[status(thm)],[c_0_10])). 4.72/1.09 thf(c_0_13, plain, ![X164:del]:((mem @ (c_2Eoption_2ESOME @ X164) @ (arr @ X164 @ (ty_2Eoption_2Eoption @ X164)))), inference(variable_rename,[status(thm)],[mem_c_2Eoption_2ESOME])). 4.72/1.09 thf(c_0_14, plain, ![X11:del, X16:del, X12:$i]:(((mem @ X12 @ (arr @ X11 @ (arr @ X16 @ bool)))=>![X13:$i]:(((mem @ X13 @ (ty_2Eoption_2Eoption @ X11))=>![X14:$i]:(((mem @ X14 @ (ty_2Eoption_2Eoption @ X16))=>(((((X13)=(c_2Eoption_2ENONE @ X11))&((X14)=(c_2Eoption_2ENONE @ X16)))|?[X48:$i]:((?[X49:$i]:(((((mem @ X49 @ X16)&((X13)=(ap @ (c_2Eoption_2ESOME @ X11) @ X48)))&((X14)=(ap @ (c_2Eoption_2ESOME @ X16) @ X49)))&(p @ (ap @ (ap @ X12 @ X48) @ X49))))&(mem @ X48 @ X11))))<=>(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X11 @ X16) @ X12) @ X13) @ X14))))))))), inference(fof_simplification,[status(thm)],[ax_thm_2Eoption_2EOPTREL__def])). 4.72/1.09 thf(c_0_15, plain, ![X1:del, X2:del, X3:$i]:(((mem @ X3 @ (arr @ X1 @ X2))=>![X4:$i]:(((mem @ X4 @ X1)=>(mem @ (ap @ X3 @ X4) @ X2))))), inference(fof_simplification,[status(thm)],[ap_tp])). 4.72/1.09 thf(c_0_16, plain, ![X1:del, X4:$i, X3:$i, X10:$i, X9:$i, X2:del]:((((ap @ (c_2Eoption_2ESOME @ X1) @ X3)!=(c_2Eoption_2ENONE @ X1))|~((mem @ X4 @ (arr @ X1 @ X2)))|~((mem @ X9 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X3 @ X1))|~((mem @ X10 @ X2)))), inference(spm,[status(thm)],[c_0_11, c_0_12])). 4.72/1.09 thf(c_0_17, plain, ![X1:del]:((mem @ (c_2Eoption_2ESOME @ X1) @ (arr @ X1 @ (ty_2Eoption_2Eoption @ X1)))), inference(split_conjunct,[status(thm)],[c_0_13])). 4.72/1.09 thf(c_0_18, plain, ![X156:del]:((mem @ (c_2Eoption_2ENONE @ X156) @ (ty_2Eoption_2Eoption @ X156))), inference(variable_rename,[status(thm)],[mem_c_2Eoption_2ENONE])). 4.72/1.09 thf(c_0_19, negated_conjecture, ~(![X11:del, X12:$i]:(((mem @ X12 @ (arr @ X11 @ (arr @ X11 @ bool)))=>![X13:$i]:(((mem @ X13 @ X11)=>![X14:$i]:(((mem @ X14 @ X11)=>(((((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X11 @ X11) @ X12) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X13)) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X14)))<=>(p @ (ap @ (ap @ X12 @ X13) @ X14)))&(~($true)<=>(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X11 @ X11) @ X12) @ (c_2Eoption_2ENONE @ X11)) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X14)))))&(~($true)<=>(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X11 @ X11) @ X12) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X13)) @ (c_2Eoption_2ENONE @ X11)))))&((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X11 @ X11) @ X12) @ (c_2Eoption_2ENONE @ X11)) @ (c_2Eoption_2ENONE @ X11)))<=>$true))))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_thm_2Equotient__option_2EOPTION__REL__def])])). 4.72/1.09 thf(c_0_20, plain, ![X147:del, X148:del, X149:$i, X150:$i, X151:$i, X152:$i, X153:$i]:((((((X150)!=(c_2Eoption_2ENONE @ X147))|((X151)!=(c_2Eoption_2ENONE @ X148))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X147 @ X148) @ X149) @ X150) @ X151))|~(mem @ X151 @ (ty_2Eoption_2Eoption @ X148))|~(mem @ X150 @ (ty_2Eoption_2Eoption @ X147))|~(mem @ X149 @ (arr @ X147 @ (arr @ X148 @ bool))))&(~(mem @ X153 @ X148)|((X150)!=(ap @ (c_2Eoption_2ESOME @ X147) @ X152))|((X151)!=(ap @ (c_2Eoption_2ESOME @ X148) @ X153))|~(p @ (ap @ (ap @ X149 @ X152) @ X153))|~(mem @ X152 @ X147)|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X147 @ X148) @ X149) @ X150) @ X151))|~(mem @ X151 @ (ty_2Eoption_2Eoption @ X148))|~(mem @ X150 @ (ty_2Eoption_2Eoption @ X147))|~(mem @ X149 @ (arr @ X147 @ (arr @ X148 @ bool)))))&(((((((mem @ (esk8_5 @ X147 @ X148 @ X149 @ X150 @ X151) @ X148)|((X150)=(c_2Eoption_2ENONE @ X147))|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X147 @ X148) @ X149) @ X150) @ X151))|~(mem @ X151 @ (ty_2Eoption_2Eoption @ X148))|~(mem @ X150 @ (ty_2Eoption_2Eoption @ X147))|~(mem @ X149 @ (arr @ X147 @ (arr @ X148 @ bool))))&(((X150)=(ap @ (c_2Eoption_2ESOME @ X147) @ (esk7_5 @ X147 @ X148 @ X149 @ X150 @ X151)))|((X150)=(c_2Eoption_2ENONE @ X147))|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X147 @ X148) @ X149) @ X150) @ X151))|~(mem @ X151 @ (ty_2Eoption_2Eoption @ X148))|~(mem @ X150 @ (ty_2Eoption_2Eoption @ X147))|~(mem @ X149 @ (arr @ X147 @ (arr @ X148 @ bool)))))&(((X151)=(ap @ (c_2Eoption_2ESOME @ X148) @ (esk8_5 @ X147 @ X148 @ X149 @ X150 @ X151)))|((X150)=(c_2Eoption_2ENONE @ X147))|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X147 @ X148) @ X149) @ X150) @ X151))|~(mem @ X151 @ (ty_2Eoption_2Eoption @ X148))|~(mem @ X150 @ (ty_2Eoption_2Eoption @ X147))|~(mem @ X149 @ (arr @ X147 @ (arr @ X148 @ bool)))))&((p @ (ap @ (ap @ X149 @ (esk7_5 @ X147 @ X148 @ X149 @ X150 @ X151)) @ (esk8_5 @ X147 @ X148 @ X149 @ X150 @ X151)))|((X150)=(c_2Eoption_2ENONE @ X147))|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X147 @ X148) @ X149) @ X150) @ X151))|~(mem @ X151 @ (ty_2Eoption_2Eoption @ X148))|~(mem @ X150 @ (ty_2Eoption_2Eoption @ X147))|~(mem @ X149 @ (arr @ X147 @ (arr @ X148 @ bool)))))&((mem @ (esk7_5 @ X147 @ X148 @ X149 @ X150 @ X151) @ X147)|((X150)=(c_2Eoption_2ENONE @ X147))|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X147 @ X148) @ X149) @ X150) @ X151))|~(mem @ X151 @ (ty_2Eoption_2Eoption @ X148))|~(mem @ X150 @ (ty_2Eoption_2Eoption @ X147))|~(mem @ X149 @ (arr @ X147 @ (arr @ X148 @ bool)))))&((((((mem @ (esk8_5 @ X147 @ X148 @ X149 @ X150 @ X151) @ X148)|((X151)=(c_2Eoption_2ENONE @ X148))|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X147 @ X148) @ X149) @ X150) @ X151))|~(mem @ X151 @ (ty_2Eoption_2Eoption @ X148))|~(mem @ X150 @ (ty_2Eoption_2Eoption @ X147))|~(mem @ X149 @ (arr @ X147 @ (arr @ X148 @ bool))))&(((X150)=(ap @ (c_2Eoption_2ESOME @ X147) @ (esk7_5 @ X147 @ X148 @ X149 @ X150 @ X151)))|((X151)=(c_2Eoption_2ENONE @ X148))|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X147 @ X148) @ X149) @ X150) @ X151))|~(mem @ X151 @ (ty_2Eoption_2Eoption @ X148))|~(mem @ X150 @ (ty_2Eoption_2Eoption @ X147))|~(mem @ X149 @ (arr @ X147 @ (arr @ X148 @ bool)))))&(((X151)=(ap @ (c_2Eoption_2ESOME @ X148) @ (esk8_5 @ X147 @ X148 @ X149 @ X150 @ X151)))|((X151)=(c_2Eoption_2ENONE @ X148))|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X147 @ X148) @ X149) @ X150) @ X151))|~(mem @ X151 @ (ty_2Eoption_2Eoption @ X148))|~(mem @ X150 @ (ty_2Eoption_2Eoption @ X147))|~(mem @ X149 @ (arr @ X147 @ (arr @ X148 @ bool)))))&((p @ (ap @ (ap @ X149 @ (esk7_5 @ X147 @ X148 @ X149 @ X150 @ X151)) @ (esk8_5 @ X147 @ X148 @ X149 @ X150 @ X151)))|((X151)=(c_2Eoption_2ENONE @ X148))|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X147 @ X148) @ X149) @ X150) @ X151))|~(mem @ X151 @ (ty_2Eoption_2Eoption @ X148))|~(mem @ X150 @ (ty_2Eoption_2Eoption @ X147))|~(mem @ X149 @ (arr @ X147 @ (arr @ X148 @ bool)))))&((mem @ (esk7_5 @ X147 @ X148 @ X149 @ X150 @ X151) @ X147)|((X151)=(c_2Eoption_2ENONE @ X148))|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X147 @ X148) @ X149) @ X150) @ X151))|~(mem @ X151 @ (ty_2Eoption_2Eoption @ X148))|~(mem @ X150 @ (ty_2Eoption_2Eoption @ X147))|~(mem @ X149 @ (arr @ X147 @ (arr @ X148 @ bool)))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])])])). 4.72/1.09 thf(c_0_21, plain, ![X126:del, X127:del, X128:$i, X129:$i]:((~(mem @ X128 @ (arr @ X126 @ X127))|(~(mem @ X129 @ X126)|(mem @ (ap @ X128 @ X129) @ X127)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])). 4.72/1.09 thf(c_0_22, plain, ![X1:del, X2:del, X3:$i, X4:$i, X9:$i, X10:$i, X12:$i]:((((X3)=(X4))|((ap @ (c_2Eoption_2ESOME @ X1) @ X3)!=(ap @ (c_2Eoption_2ESOME @ X1) @ X4))|~((mem @ X4 @ X1))|~((mem @ X3 @ X1))|~((epred1_5 @ X1 @ X2 @ X9 @ X10 @ X12)))), inference(split_conjunct,[status(thm)],[c_0_9])). 4.72/1.09 thf(c_0_23, plain, ![X9:$i, X4:$i, X3:$i, X1:del]:((((ap @ (c_2Eoption_2ESOME @ X1) @ X3)!=(c_2Eoption_2ENONE @ X1))|~((mem @ X4 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X9 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X3 @ X1)))), inference(spm,[status(thm)],[c_0_16, c_0_17])). 4.72/1.09 thf(c_0_24, plain, ![X1:del]:((mem @ (c_2Eoption_2ENONE @ X1) @ (ty_2Eoption_2Eoption @ X1))), inference(split_conjunct,[status(thm)],[c_0_18])). 4.72/1.09 thf(c_0_25, negated_conjecture, ((mem @ esk2_0 @ (arr @ esk1_0 @ (arr @ esk1_0 @ bool)))&((mem @ esk3_0 @ esk1_0)&((mem @ esk4_0 @ esk1_0)&(((((~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|~($true)|(($true)|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|(($true)|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|~(p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0))))))&((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|($true)|(($true)|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|(($true)|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|~(p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0)))))))&((~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|~($true)|(~($true)|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|(($true)|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|~(p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0))))))&((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|($true)|(~($true)|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|(($true)|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|~(p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0))))))))&(((~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|~($true)|(($true)|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|(~($true)|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|~(p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0))))))&((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|($true)|(($true)|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|(~($true)|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|~(p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0)))))))&((~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ 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esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|~(p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0)))))))))&((((~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|~($true)|(($true)|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|(($true)|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0))))))&((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|($true)|(($true)|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|(($true)|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0)))))))&((~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|~($true)|(~($true)|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ 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(c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0))))))))&(((~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|~($true)|(($true)|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|(~($true)|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0))))))&((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|($true)|(($true)|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|(~($true)|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0)))))))&((~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|~($true)|(~($true)|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|(~($true)|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0))))))&((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|($true)|(~($true)|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|(~($true)|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0))))))))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])])])). 4.72/1.09 thf(c_0_26, plain, ![X4:$i, X10:$i, X9:$i, X12:$i, X3:$i, X2:del, X1:del]:(((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X2 @ X1) @ X12) @ X4) @ X10))|~((mem @ X3 @ X1))|((X4)!=(ap @ (c_2Eoption_2ESOME @ X2) @ X9))|((X10)!=(ap @ (c_2Eoption_2ESOME @ X1) @ X3))|~((p @ (ap @ (ap @ X12 @ X9) @ X3)))|~((mem @ X9 @ X2))|~((mem @ X10 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X4 @ (ty_2Eoption_2Eoption @ X2)))|~((mem @ X12 @ (arr @ X2 @ (arr @ X1 @ bool)))))), inference(split_conjunct,[status(thm)],[c_0_20])). 4.72/1.09 thf(c_0_27, plain, ![X2:del, X4:$i, X3:$i, X1:del]:(((mem @ (ap @ X3 @ X4) @ X2)|~((mem @ X3 @ (arr @ X1 @ X2)))|~((mem @ X4 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_21])). 4.72/1.09 thf(c_0_28, plain, ![X1:del, X4:$i, X9:$i, X3:$i, X12:$i, X10:$i, X2:del]:((((X3)=(X4))|((ap @ (c_2Eoption_2ESOME @ X1) @ X3)!=(ap @ (c_2Eoption_2ESOME @ X1) @ X4))|~((mem @ X9 @ (arr @ X1 @ X2)))|~((mem @ X10 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X4 @ X1))|~((mem @ X3 @ X1))|~((mem @ X12 @ X2)))), inference(spm,[status(thm)],[c_0_22, c_0_12])). 4.72/1.09 thf(c_0_29, plain, ![X4:$i, X3:$i, X1:del]:((((ap @ (c_2Eoption_2ESOME @ X1) @ X3)!=(c_2Eoption_2ENONE @ X1))|~((mem @ X4 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X3 @ X1)))), inference(spm,[status(thm)],[c_0_23, c_0_24])). 4.72/1.09 thf(c_0_30, negated_conjecture, ((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0))))|~(($true))|~(($true))|~(($true))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0))))|~((p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0)))), inference(split_conjunct,[status(thm)],[c_0_25])). 4.72/1.09 thf(c_0_31, plain, ![X1:del, X4:$i, X9:$i, X3:$i, X2:del]:(((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X1 @ X2) @ X3) @ (ap @ (c_2Eoption_2ESOME @ X1) @ X4)) @ (ap @ (c_2Eoption_2ESOME @ X2) @ X9)))|~((mem @ X3 @ (arr @ X1 @ (arr @ X2 @ bool))))|~((mem @ (ap @ (c_2Eoption_2ESOME @ X2) @ X9) @ (ty_2Eoption_2Eoption @ X2)))|~((mem @ (ap @ (c_2Eoption_2ESOME @ X1) @ X4) @ (ty_2Eoption_2Eoption @ X1)))|~((p @ (ap @ (ap @ X3 @ X4) @ X9)))|~((mem @ X4 @ X1))|~((mem @ X9 @ X2)))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_26])])). 4.72/1.09 thf(c_0_32, plain, ![X3:$i, X1:del]:(((mem @ (ap @ (c_2Eoption_2ESOME @ X1) @ X3) @ (ty_2Eoption_2Eoption @ X1))|~((mem @ X3 @ X1)))), inference(spm,[status(thm)],[c_0_27, c_0_17])). 4.72/1.09 thf(c_0_33, plain, ![X10:$i, X9:$i, X4:$i, X3:$i, X1:del]:((((X3)=(X4))|((ap @ (c_2Eoption_2ESOME @ X1) @ X3)!=(ap @ (c_2Eoption_2ESOME @ X1) @ X4))|~((mem @ X9 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X10 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X4 @ X1))|~((mem @ X3 @ X1)))), inference(spm,[status(thm)],[c_0_28, c_0_17])). 4.72/1.09 thf(c_0_34, plain, ![X3:$i, X1:del]:((((ap @ (c_2Eoption_2ESOME @ X1) @ X3)!=(c_2Eoption_2ENONE @ X1))|~((mem @ X3 @ X1)))), inference(spm,[status(thm)],[c_0_29, c_0_24])). 4.72/1.09 thf(c_0_35, plain, ![X3:$i, X9:$i, X4:$i, X2:del, X1:del]:((((X3)=(ap @ (c_2Eoption_2ESOME @ X1) @ (esk8_5 @ X2 @ X1 @ X4 @ X9 @ X3)))|((X9)=(c_2Eoption_2ENONE @ X2))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X2 @ X1) @ X4) @ X9) @ X3)))|~((mem @ X3 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X9 @ (ty_2Eoption_2Eoption @ X2)))|~((mem @ X4 @ (arr @ X2 @ (arr @ X1 @ bool)))))), inference(split_conjunct,[status(thm)],[c_0_20])). 4.72/1.09 thf(c_0_36, negated_conjecture, ((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|~((p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0)))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0))))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0))))), inference(cn,[status(thm)],[c_0_30])). 4.72/1.09 thf(c_0_37, plain, ![X1:del, X4:$i, X9:$i, X3:$i, X2:del]:(((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X1 @ X2) @ X3) @ (ap @ (c_2Eoption_2ESOME @ X1) @ X4)) @ (ap @ (c_2Eoption_2ESOME @ X2) @ X9)))|~((mem @ X3 @ (arr @ X1 @ (arr @ X2 @ bool))))|~((p @ (ap @ (ap @ X3 @ X4) @ X9)))|~((mem @ X4 @ X1))|~((mem @ X9 @ X2)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_31, c_0_32]), c_0_32])). 4.72/1.09 thf(c_0_38, negated_conjecture, (mem @ esk2_0 @ (arr @ esk1_0 @ (arr @ esk1_0 @ bool))), inference(split_conjunct,[status(thm)],[c_0_25])). 4.72/1.09 thf(c_0_39, negated_conjecture, (mem @ esk3_0 @ esk1_0), inference(split_conjunct,[status(thm)],[c_0_25])). 4.72/1.09 thf(c_0_40, negated_conjecture, (mem @ esk4_0 @ esk1_0), inference(split_conjunct,[status(thm)],[c_0_25])). 4.72/1.09 thf(c_0_41, plain, ![X9:$i, X4:$i, X3:$i, X1:del]:((((X3)=(X4))|((ap @ (c_2Eoption_2ESOME @ X1) @ X3)!=(ap @ (c_2Eoption_2ESOME @ X1) @ X4))|~((mem @ X9 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X4 @ X1))|~((mem @ X3 @ X1)))), inference(spm,[status(thm)],[c_0_33, c_0_24])). 4.72/1.09 thf(c_0_42, plain, ![X4:$i, X3:$i, X2:del, X1:del]:((((X3)=(c_2Eoption_2ENONE @ X1))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X1 @ X2) @ X4) @ X3) @ (c_2Eoption_2ENONE @ X2))))|~((mem @ (esk8_5 @ X1 @ X2 @ X4 @ X3 @ (c_2Eoption_2ENONE @ X2)) @ X2))|~((mem @ X4 @ (arr @ X1 @ (arr @ X2 @ bool))))|~((mem @ X3 @ (ty_2Eoption_2Eoption @ X1))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35])]), c_0_24])])). 4.72/1.09 thf(c_0_43, negated_conjecture, ((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0))))|~((p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36, c_0_37]), c_0_38]), c_0_39]), c_0_40])])). 4.72/1.09 thf(c_0_44, plain, ![X4:$i, X3:$i, X1:del]:((((X3)=(X4))|((ap @ (c_2Eoption_2ESOME @ X1) @ X3)!=(ap @ (c_2Eoption_2ESOME @ X1) @ X4))|~((mem @ X4 @ X1))|~((mem @ X3 @ X1)))), inference(spm,[status(thm)],[c_0_41, c_0_24])). 4.72/1.09 thf(c_0_45, negated_conjecture, ((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0))))|~(($true))|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_25])). 4.72/1.09 thf(c_0_46, plain, ![X1:del, X9:$i, X4:$i, X3:$i, X2:del]:(((mem @ (esk8_5 @ X1 @ X2 @ X3 @ X4 @ X9) @ X2)|((X4)=(c_2Eoption_2ENONE @ X1))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X1 @ X2) @ X3) @ X4) @ X9)))|~((mem @ X9 @ (ty_2Eoption_2Eoption @ X2)))|~((mem @ X4 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X3 @ (arr @ X1 @ (arr @ X2 @ bool)))))), inference(split_conjunct,[status(thm)],[c_0_20])). 4.72/1.09 thf(c_0_47, plain, (((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)=(c_2Eoption_2ENONE @ esk1_0))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|~((mem @ (esk8_5 @ esk1_0 @ esk1_0 @ esk2_0 @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ esk1_0))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0))))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0) @ (ty_2Eoption_2Eoption @ esk1_0)))|~((p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_38])])). 4.72/1.09 thf(c_0_48, plain, ![X1:del, X4:$i, X9:$i, X3:$i, X2:del]:((((esk8_5 @ X1 @ X2 @ X3 @ X4 @ (ap @ (c_2Eoption_2ESOME @ X2) @ X9))=(X9))|((X4)=(c_2Eoption_2ENONE @ X1))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X1 @ X2) @ X3) @ X4) @ (ap @ (c_2Eoption_2ESOME @ X2) @ X9))))|~((mem @ (esk8_5 @ X1 @ X2 @ X3 @ X4 @ (ap @ (c_2Eoption_2ESOME @ X2) @ X9)) @ X2))|~((mem @ X3 @ (arr @ X1 @ (arr @ X2 @ bool))))|~((mem @ X4 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X9 @ X2)))), inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_35])]), c_0_32])). 4.72/1.09 thf(c_0_49, negated_conjecture, ((p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0))))), inference(cn,[status(thm)],[c_0_45])). 4.72/1.09 thf(c_0_50, negated_conjecture, (((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)=(c_2Eoption_2ENONE @ esk1_0))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0))))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0) @ (ty_2Eoption_2Eoption @ esk1_0)))|~((p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_43]), c_0_38]), c_0_24])]), c_0_47])). 4.72/1.09 thf(c_0_51, plain, ![X1:del, X3:$i, X9:$i, X4:$i, X2:del]:((((X3)=(ap @ (c_2Eoption_2ESOME @ X1) @ (esk7_5 @ X1 @ X2 @ X4 @ X3 @ X9)))|((X3)=(c_2Eoption_2ENONE @ X1))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X1 @ X2) @ X4) @ X3) @ X9)))|~((mem @ X9 @ (ty_2Eoption_2Eoption @ X2)))|~((mem @ X3 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X4 @ (arr @ X1 @ (arr @ X2 @ bool)))))), inference(split_conjunct,[status(thm)],[c_0_20])). 4.72/1.09 thf(c_0_52, negated_conjecture, (((esk8_5 @ esk1_0 @ esk1_0 @ esk2_0 @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0))=(esk4_0))|((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)=(c_2Eoption_2ENONE @ esk1_0))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|~((mem @ (esk8_5 @ esk1_0 @ esk1_0 @ esk2_0 @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)) @ esk1_0))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0))))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0) @ (ty_2Eoption_2Eoption @ esk1_0)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48, c_0_49]), c_0_38]), c_0_40])]), c_0_50])). 4.72/1.09 thf(c_0_53, negated_conjecture, (((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)=(c_2Eoption_2ENONE @ esk1_0))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(mem @ (esk8_5 @ esk1_0 @ esk1_0 @ esk2_0 @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)) @ esk1_0)|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0))))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0) @ (ty_2Eoption_2Eoption @ esk1_0)))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0) @ (ty_2Eoption_2Eoption @ esk1_0)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_49]), c_0_38])]), c_0_50])). 4.72/1.09 thf(c_0_54, plain, ![X2:del, X9:$i, X4:$i, X3:$i, X1:del]:((((esk7_5 @ X1 @ X2 @ X3 @ (ap @ (c_2Eoption_2ESOME @ X1) @ X4) @ X9)=(X4))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X1 @ X2) @ X3) @ (ap @ (c_2Eoption_2ESOME @ X1) @ X4)) @ X9)))|~((mem @ (esk7_5 @ X1 @ X2 @ X3 @ (ap @ (c_2Eoption_2ESOME @ X1) @ X4) @ X9) @ X1))|~((mem @ X3 @ (arr @ X1 @ (arr @ X2 @ bool))))|~((mem @ X9 @ (ty_2Eoption_2Eoption @ X2)))|~((mem @ X4 @ X1)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_51])]), c_0_32]), c_0_34])). 4.72/1.09 thf(c_0_55, plain, ![X1:del, X9:$i, X4:$i, X3:$i, X2:del]:(((mem @ (esk7_5 @ X1 @ X2 @ X3 @ X4 @ X9) @ X1)|((X4)=(c_2Eoption_2ENONE @ X1))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X1 @ X2) @ X3) @ X4) @ X9)))|~((mem @ X9 @ (ty_2Eoption_2Eoption @ X2)))|~((mem @ X4 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X3 @ (arr @ X1 @ (arr @ X2 @ bool)))))), inference(split_conjunct,[status(thm)],[c_0_20])). 4.72/1.09 thf(c_0_56, plain, ![X1:del, X9:$i, X4:$i, X3:$i, X2:del]:(((p @ (ap @ (ap @ X3 @ (esk7_5 @ X1 @ X2 @ X3 @ X4 @ X9)) @ (esk8_5 @ X1 @ X2 @ X3 @ X4 @ X9)))|((X4)=(c_2Eoption_2ENONE @ X1))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X1 @ X2) @ X3) @ X4) @ X9)))|~((mem @ X9 @ (ty_2Eoption_2Eoption @ X2)))|~((mem @ X4 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X3 @ (arr @ X1 @ (arr @ X2 @ bool)))))), inference(split_conjunct,[status(thm)],[c_0_20])). 4.72/1.09 thf(c_0_57, negated_conjecture, (((esk8_5 @ esk1_0 @ esk1_0 @ esk2_0 @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0))=(esk4_0))|((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)=(c_2Eoption_2ENONE @ esk1_0))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0))))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0) @ (ty_2Eoption_2Eoption @ esk1_0)))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0) @ (ty_2Eoption_2Eoption @ esk1_0)))), inference(spm,[status(thm)],[c_0_52, c_0_53])). 4.72/1.09 thf(c_0_58, negated_conjecture, (((esk7_5 @ esk1_0 @ esk1_0 @ esk2_0 @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0))=(esk3_0))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|~((mem @ (esk7_5 @ esk1_0 @ esk1_0 @ esk2_0 @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)) @ esk1_0))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0))))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0) @ (ty_2Eoption_2Eoption @ esk1_0)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54, c_0_49]), c_0_38]), c_0_39])]), c_0_43])). 4.72/1.09 thf(c_0_59, negated_conjecture, (((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)=(c_2Eoption_2ENONE @ esk1_0))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(mem @ (esk7_5 @ esk1_0 @ esk1_0 @ esk2_0 @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)) @ esk1_0)|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0))))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0) @ (ty_2Eoption_2Eoption @ esk1_0)))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0) @ (ty_2Eoption_2Eoption @ esk1_0)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55, c_0_49]), c_0_38])]), c_0_50])). 4.72/1.09 thf(c_0_60, negated_conjecture, (((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)=(c_2Eoption_2ENONE @ esk1_0))|(p @ (ap @ (ap @ esk2_0 @ (esk7_5 @ esk1_0 @ esk1_0 @ esk2_0 @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0))) @ esk4_0))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0))))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0))))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0) @ (ty_2Eoption_2Eoption @ esk1_0)))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0) @ (ty_2Eoption_2Eoption @ esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_57]), c_0_38])])). 4.72/1.09 thf(c_0_61, negated_conjecture, (((esk7_5 @ esk1_0 @ esk1_0 @ esk2_0 @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0))=(esk3_0))|((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)=(c_2Eoption_2ENONE @ esk1_0))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0))))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0) @ (ty_2Eoption_2Eoption @ esk1_0)))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0) @ (ty_2Eoption_2Eoption @ esk1_0)))), inference(spm,[status(thm)],[c_0_58, c_0_59])). 4.72/1.09 thf(c_0_62, negated_conjecture, (((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)=(c_2Eoption_2ENONE @ esk1_0))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0))))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0) @ (ty_2Eoption_2Eoption @ esk1_0)))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0) @ (ty_2Eoption_2Eoption @ esk1_0)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_61]), c_0_49]), c_0_50])). 4.72/1.09 thf(c_0_63, plain, ![X1:del, X3:$i, X9:$i, X4:$i, X2:del]:((((X3)=(ap @ (c_2Eoption_2ESOME @ X1) @ (esk7_5 @ X1 @ X2 @ X4 @ X3 @ X9)))|((X9)=(c_2Eoption_2ENONE @ X2))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X1 @ X2) @ X4) @ X3) @ X9)))|~((mem @ X9 @ (ty_2Eoption_2Eoption @ X2)))|~((mem @ X3 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X4 @ (arr @ X1 @ (arr @ X2 @ bool)))))), inference(split_conjunct,[status(thm)],[c_0_20])). 4.72/1.09 thf(c_0_64, plain, (((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)=(c_2Eoption_2ENONE @ esk1_0))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|~((mem @ (esk8_5 @ esk1_0 @ esk1_0 @ esk2_0 @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ esk1_0))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0))))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0) @ (ty_2Eoption_2Eoption @ esk1_0)))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0) @ (ty_2Eoption_2Eoption @ esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_62]), c_0_38])])). 4.72/1.09 thf(c_0_65, plain, ![X4:$i, X3:$i, X2:del, X1:del]:((((X3)=(c_2Eoption_2ENONE @ X1))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X2 @ X1) @ X4) @ (c_2Eoption_2ENONE @ X2)) @ X3)))|~((mem @ (esk7_5 @ X2 @ X1 @ X4 @ (c_2Eoption_2ENONE @ X2) @ X3) @ X2))|~((mem @ X4 @ (arr @ X2 @ (arr @ X1 @ bool))))|~((mem @ X3 @ (ty_2Eoption_2Eoption @ X1))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_63])]), c_0_24])])). 4.72/1.09 thf(c_0_66, negated_conjecture, (((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)=(c_2Eoption_2ENONE @ esk1_0))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0))))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0) @ (ty_2Eoption_2Eoption @ esk1_0)))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0) @ (ty_2Eoption_2Eoption @ esk1_0)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46, c_0_62]), c_0_38]), c_0_24])]), c_0_64])). 4.72/1.09 thf(c_0_67, plain, ![X1:del, X9:$i, X4:$i, X3:$i, X2:del]:(((mem @ (esk7_5 @ X1 @ X2 @ X3 @ X4 @ X9) @ X1)|((X9)=(c_2Eoption_2ENONE @ X2))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X1 @ X2) @ X3) @ X4) @ X9)))|~((mem @ X9 @ (ty_2Eoption_2Eoption @ X2)))|~((mem @ X4 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X3 @ (arr @ X1 @ (arr @ X2 @ bool)))))), inference(split_conjunct,[status(thm)],[c_0_20])). 4.72/1.09 thf(c_0_68, plain, (((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)=(c_2Eoption_2ENONE @ esk1_0))|((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)=(c_2Eoption_2ENONE @ esk1_0))|~((mem @ (esk7_5 @ esk1_0 @ esk1_0 @ esk2_0 @ (c_2Eoption_2ENONE @ esk1_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)) @ esk1_0))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0))))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0) @ (ty_2Eoption_2Eoption @ esk1_0)))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0) @ (ty_2Eoption_2Eoption @ esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65, c_0_66]), c_0_38])])). 4.72/1.09 thf(c_0_69, plain, ![X1:del, X3:$i, X4:$i, X9:$i, X2:del]:(((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X1 @ X2) @ X9) @ X3) @ X4))|((X3)!=(c_2Eoption_2ENONE @ X1))|((X4)!=(c_2Eoption_2ENONE @ X2))|~((mem @ X4 @ (ty_2Eoption_2Eoption @ X2)))|~((mem @ X3 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X9 @ (arr @ X1 @ (arr @ X2 @ bool)))))), inference(split_conjunct,[status(thm)],[c_0_20])). 4.72/1.09 thf(c_0_70, negated_conjecture, (((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)=(c_2Eoption_2ENONE @ esk1_0))|((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)=(c_2Eoption_2ENONE @ esk1_0))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0))))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0) @ (ty_2Eoption_2Eoption @ esk1_0)))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0) @ (ty_2Eoption_2Eoption @ esk1_0)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_66]), c_0_38]), c_0_24])]), c_0_68])). 4.72/1.09 thf(c_0_71, plain, ![X1:del, X3:$i, X2:del]:(((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X1 @ X2) @ X3) @ (c_2Eoption_2ENONE @ X1)) @ (c_2Eoption_2ENONE @ X2)))|~((mem @ X3 @ (arr @ X1 @ (arr @ X2 @ bool)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_69])]), c_0_24]), c_0_24])])). 4.72/1.09 thf(c_0_72, negated_conjecture, (((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)=(c_2Eoption_2ENONE @ esk1_0))|((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)=(c_2Eoption_2ENONE @ esk1_0))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0) @ (ty_2Eoption_2Eoption @ esk1_0)))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0) @ (ty_2Eoption_2Eoption @ esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_38])])). 4.72/1.09 thf(c_0_73, negated_conjecture, (((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)=(c_2Eoption_2ENONE @ esk1_0))|((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)=(c_2Eoption_2ENONE @ esk1_0))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0) @ (ty_2Eoption_2Eoption @ esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_32]), c_0_39])])). 4.72/1.09 thf(c_0_74, negated_conjecture, (((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)=(c_2Eoption_2ENONE @ esk1_0))|((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)=(c_2Eoption_2ENONE @ esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_32]), c_0_40])])). 4.72/1.09 thf(c_0_75, plain, ((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)=(c_2Eoption_2ENONE @ esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_74]), c_0_39])])). 4.72/1.09 thf(c_0_76, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_75]), c_0_40])]), ['proof']). 4.72/1.09 # SZS output end CNFRefutation 4.72/1.09 # Parsed axioms : 74 4.72/1.09 # Removed by relevancy pruning/SinE : 52 4.72/1.09 # Initial clauses : 125 4.72/1.09 # Removed in clause preprocessing : 72 4.72/1.09 # Initial clauses in saturation : 53 4.72/1.09 # Processed clauses : 1151 4.72/1.09 # ...of these trivial : 2 4.72/1.09 # ...subsumed : 413 4.72/1.09 # ...remaining for further processing : 736 4.72/1.09 # Other redundant clauses eliminated : 68 4.72/1.09 # Clauses deleted for lack of memory : 0 4.72/1.09 # Backward-subsumed : 467 4.72/1.09 # Backward-rewritten : 33 4.72/1.09 # Generated clauses : 7924 4.72/1.09 # ...of the previous two non-redundant : 7636 4.72/1.09 # ...aggressively subsumed : 0 4.72/1.09 # Contextual simplify-reflections : 178 4.72/1.09 # Paramodulations : 7851 4.72/1.09 # Factorizations : 0 4.72/1.09 # NegExts : 0 4.72/1.09 # Equation resolutions : 75 4.72/1.09 # Disequality decompositions : 0 4.72/1.09 # Total rewrite steps : 1090 4.72/1.09 # ...of those cached : 1067 4.72/1.09 # Propositional unsat checks : 0 4.72/1.09 # Propositional check models : 0 4.72/1.09 # Propositional check unsatisfiable : 0 4.72/1.09 # Propositional clauses : 0 4.72/1.09 # Propositional clauses after purity: 0 4.72/1.09 # Propositional unsat core size : 0 4.72/1.09 # Propositional preprocessing time : 0.000 4.72/1.09 # Propositional encoding time : 0.000 4.72/1.09 # Propositional solver time : 0.000 4.72/1.09 # Success case prop preproc time : 0.000 4.72/1.09 # Success case prop encoding time : 0.000 4.72/1.09 # Success case prop solver time : 0.000 4.72/1.09 # Current number of processed clauses : 181 4.72/1.09 # Positive orientable unit clauses : 15 4.72/1.09 # Positive unorientable unit clauses: 0 4.72/1.09 # Negative unit clauses : 1 4.72/1.09 # Non-unit-clauses : 165 4.72/1.09 # Current number of unprocessed clauses: 4686 4.72/1.09 # ...number of literals in the above : 57636 4.72/1.09 # Current number of archived formulas : 0 4.72/1.09 # Current number of archived clauses : 551 4.72/1.09 # Clause-clause subsumption calls (NU) : 201152 4.72/1.09 # Rec. Clause-clause subsumption calls : 11830 4.72/1.09 # Non-unit clause-clause subsumptions : 1024 4.72/1.09 # Unit Clause-clause subsumption calls : 330 4.72/1.09 # Rewrite failures with RHS unbound : 0 4.72/1.09 # BW rewrite match attempts : 9 4.72/1.09 # BW rewrite match successes : 8 4.72/1.09 # Condensation attempts : 0 4.72/1.09 # Condensation successes : 0 4.72/1.09 # Termbank termtop insertions : 493211 4.72/1.09 # Search garbage collected termcells : 2647 4.72/1.09 4.72/1.09 # ------------------------------------------------- 4.72/1.09 # User time : 0.541 s 4.72/1.09 # System time : 0.008 s 4.72/1.09 # Total time : 0.549 s 4.72/1.09 # Maximum resident set size: 2416 pages 4.72/1.09 4.72/1.09 # ------------------------------------------------- 4.72/1.09 # User time : 0.544 s 4.72/1.09 # System time : 0.011 s 4.72/1.09 # Total time : 0.555 s 4.72/1.09 # Maximum resident set size: 1900 pages 4.72/1.09 % E---3.1 exiting 4.72/1.10 % E exiting 4.72/1.10 EOF