0.00/0.02 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.03 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.07/0.32 % Computer : n012.cluster.edu 0.07/0.32 % Model : x86_64 x86_64 0.07/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.07/0.32 % Memory : 8046.5625MB 0.07/0.32 % OS : Linux 6.8.0-71-generic 0.07/0.32 % CPULimit : 1440 0.07/0.32 % WCLimit : 180 0.07/0.32 % DateTime : Mon Jul 27 14:51:48 UTC 2026 0.07/0.33 % CPUTime : 0.07/0.33 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.10/0.36 Running higher-order theorem proving 0.10/0.38 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.VmuEYWq8Ls/E---3.1_2156921.p 258.47/37.67 % Version: 3.5.1-ho 258.47/37.67 % Preprocessing class: HSLSSMSMSSSNSFA. 258.47/37.67 % Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 258.47/37.67 % Starting new_ho_10 with 540s (3) cores 258.47/37.67 % Starting sh2lt with 180s (1) cores 258.47/37.67 % Starting new_ho_5 with 180s (1) cores 258.47/37.67 % Starting full_lambda_5 with 180s (1) cores 258.47/37.67 % Starting sh9 with 180s (1) cores 258.47/37.67 % Starting ehoh_best8_lambda with 180s (1) cores 258.47/37.67 % sh2lt with pid 2156935 completed with status 0 258.47/37.67 % Result found by sh2lt 258.47/37.67 % Preprocessing class: HSLSSMSMSSSNSFA. 258.47/37.67 % Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 258.47/37.67 % Starting new_ho_10 with 540s (3) cores 258.47/37.67 % Starting sh2lt with 180s (1) cores 258.47/37.67 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)) 258.47/37.67 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 258.47/37.67 % Search class: HGHSM-FFMS32-MSFFFFNN 258.47/37.67 % partial match(2): FGHSM-FFMS32-MFFFFFNN 258.47/37.67 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 258.47/37.67 % Starting SubtermCWHack with 17s (1) cores 258.47/37.67 % SubtermCWHack with pid 2156940 completed with status 8 258.47/37.67 % Starting sh2lt with 19s (1) cores 258.47/37.67 % sh2lt with pid 2157359 completed with status 8 258.47/37.67 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 28s (1) cores 258.47/37.67 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 2157368 completed with status 0 258.47/37.67 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y 258.47/37.67 % Preprocessing class: HSLSSMSMSSSNSFA. 258.47/37.67 % Scheduled 6 strats onto 8 cores with 180 seconds (1440 total) 258.47/37.67 % Starting new_ho_10 with 540s (3) cores 258.47/37.67 % Starting sh2lt with 180s (1) cores 258.47/37.67 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,5,,4,20000,1.0,true)) 258.47/37.67 % SinE strategy is GSinE(CountFormulas,hypos,5,,4,20000,1.0,true) 258.47/37.67 % Search class: HGHSM-FFMS32-MSFFFFNN 258.47/37.67 % partial match(2): FGHSM-FFMS32-MFFFFFNN 258.47/37.67 % Scheduled 7 strats onto 1 cores with 180 seconds (180 total) 258.47/37.67 % Starting SubtermCWHack with 17s (1) cores 258.47/37.67 % SubtermCWHack with pid 2156940 completed with status 8 258.47/37.67 % Starting sh2lt with 19s (1) cores 258.47/37.67 % sh2lt with pid 2157359 completed with status 8 258.47/37.67 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 28s (1) cores 258.47/37.67 % Preprocessing time : 0.002 s 258.47/37.67 % Presaturation interreduction done 258.47/37.67 258.47/37.67 % Proof found! 258.47/37.67 % SZS status Theorem 258.47/37.67 % SZS output start CNFRefutation 258.47/37.67 thf(decl_sort1, type, del: $tType). 258.47/37.67 thf(decl_23, type, bool: del). 258.47/37.67 thf(decl_25, type, arr: del > del > del). 258.47/37.67 thf(decl_26, type, mem: $i > del > $o). 258.47/37.67 thf(decl_27, type, ap: $i > $i > $i). 258.47/37.67 thf(decl_29, type, p: $i > $o). 258.47/37.67 thf(decl_31, type, ty_2Eoption_2Eoption: del > del). 258.47/37.67 thf(decl_32, type, c_2Eoption_2EOPTION__JOIN: del > $i). 258.47/37.67 thf(decl_33, type, c_2Eoption_2EOPTION__MAP: del > del > $i). 258.47/37.67 thf(decl_34, type, c_2Eoption_2Eoption__CASE: del > del > $i). 258.47/37.67 thf(decl_36, type, c_2Eoption_2EIS__NONE: del > $i). 258.47/37.67 thf(decl_39, type, c_2Eoption_2EIS__SOME: del > $i). 258.47/37.67 thf(decl_41, type, c_2Eoption_2ETHE: del > $i). 258.47/37.67 thf(decl_42, type, c_2Eoption_2ESOME: del > $i). 258.47/37.67 thf(decl_44, type, c_2Eoption_2ENONE: del > $i). 258.47/37.67 thf(decl_47, type, c_2Eoption_2EOPTREL: del > del > $i). 258.47/37.67 thf(decl_50, type, epred1_5: del > del > $i > $i > $i > $o). 258.47/37.67 thf(decl_51, type, esk1_0: del). 258.47/37.67 thf(decl_52, type, esk2_0: $i). 258.47/37.67 thf(decl_53, type, esk3_0: $i). 258.47/37.67 thf(decl_54, type, esk4_0: $i). 258.47/37.67 thf(decl_57, type, esk7_5: del > del > $i > $i > $i > $i). 258.47/37.67 thf(decl_58, type, esk8_5: del > del > $i > $i > $i > $i). 258.47/37.67 thf(conj_thm_2Eoption_2Eoption__CLAUSES, axiom, ![X11:del, X17:del, X18:$i]:((![X19:$i]:(((mem @ X19 @ (arr @ X11 @ X17))=>![X20:$i]:(((mem @ X20 @ (ty_2Eoption_2Eoption @ X11))=>(((((((((((((((((((![X21:$i]:(((mem @ X21 @ X11)=>![X22:$i]:(((((X21)=(X22))<=>((ap @ (c_2Eoption_2ESOME @ X11) @ X21)=(ap @ (c_2Eoption_2ESOME @ X11) @ X22)))<=(mem @ X22 @ X11)))))&![X23:$i]:((((c_2Eoption_2ENONE @ X11)!=(ap @ (c_2Eoption_2ESOME @ X11) @ X23))<=(mem @ X23 @ X11))))&![X24:$i]:((((ap @ (c_2Eoption_2ESOME @ X11) @ X24)!=(c_2Eoption_2ENONE @ X11))<=(mem @ X24 @ X11))))&![X25:$i]:(((mem @ X25 @ X11)=>((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X25)))<=>($true)))))&![X26:$i]:((((p @ (ap @ (c_2Eoption_2EIS__NONE @ X11) @ X26))<=>((X26)=(c_2Eoption_2ENONE @ X11)))<=(mem @ X26 @ (ty_2Eoption_2Eoption @ X11)))))&![X27:$i]:(((mem @ X27 @ (ty_2Eoption_2Eoption @ X11))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ (ty_2Eoption_2Eoption @ X11)) @ X27) @ X27) @ (c_2Eoption_2ESOME @ X11))=(X27)))))&![X28:$i]:(((mem @ X28 @ (ty_2Eoption_2Eoption @ X11))=>((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ X28))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ (ty_2Eoption_2Eoption @ X11)) @ X28) @ X20) @ (c_2Eoption_2ESOME @ X11))=(X28))))))&![X29:$i]:(((mem @ X29 @ (arr @ X11 @ X17))=>((ap @ (ap @ (c_2Eoption_2EOPTION__MAP @ X11 @ X17) @ X29) @ (c_2Eoption_2ENONE @ X11))=(c_2Eoption_2ENONE @ X17)))))&![X30:$i]:(((mem @ X30 @ (ty_2Eoption_2Eoption @ X11))=>((ap @ (c_2Eoption_2EOPTION__JOIN @ X11) @ (ap @ (c_2Eoption_2ESOME @ (ty_2Eoption_2Eoption @ X11)) @ X30))=(X30)))))&((ap @ (c_2Eoption_2EOPTION__JOIN @ X11) @ (c_2Eoption_2ENONE @ (ty_2Eoption_2Eoption @ X11)))=(c_2Eoption_2ENONE @ X11)))&![X31:$i]:(((mem @ X31 @ (arr @ X11 @ X17))=>![X32:$i]:(((mem @ X32 @ X11)=>((ap @ (ap @ (c_2Eoption_2EOPTION__MAP @ X11 @ X17) @ X31) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X32))=(ap @ (c_2Eoption_2ESOME @ X17) @ (ap @ X31 @ X32))))))))&![X33:$i]:((![X34:$i]:((![X35:$i]:((((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ X17) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X33)) @ X34) @ X35)=(ap @ X35 @ X33))<=(mem @ X35 @ (arr @ X11 @ X17))))<=(mem @ X34 @ X17)))<=(mem @ X33 @ X11))))&![X36:$i]:((![X37:$i]:(((mem @ X37 @ (arr @ X11 @ X17))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ X17) @ (c_2Eoption_2ENONE @ X11)) @ X36) @ X37)=(X36))))<=(mem @ X36 @ X17))))&![X38:$i]:((((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ X38))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ X17) @ X38) @ X18) @ X19)=(ap @ X19 @ (ap @ (c_2Eoption_2ETHE @ X11) @ X38))))<=(mem @ X38 @ (ty_2Eoption_2Eoption @ X11)))))&![X39:$i]:(((((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ X17) @ X39) @ X18) @ X19)=(X18))<=(p @ (ap @ (c_2Eoption_2EIS__NONE @ X11) @ X39)))<=(mem @ X39 @ (ty_2Eoption_2Eoption @ X11)))))&![X40:$i]:((((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ (ty_2Eoption_2Eoption @ X11)) @ X40) @ (c_2Eoption_2ENONE @ X11)) @ (c_2Eoption_2ESOME @ X11))=(X40))<=(mem @ X40 @ (ty_2Eoption_2Eoption @ X11)))))&![X41:$i]:(((mem @ X41 @ (ty_2Eoption_2Eoption @ X11))=>(((ap @ (c_2Eoption_2ESOME @ X11) @ (ap @ (c_2Eoption_2ETHE @ X11) @ X41))=(X41))<=(p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ X41))))))&![X42:$i]:(((~((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ X42)))<=>((X42)=(c_2Eoption_2ENONE @ X11)))<=(mem @ X42 @ (ty_2Eoption_2Eoption @ X11)))))&((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ (c_2Eoption_2ENONE @ X11)))<=>~($true)))&![X43:$i]:((((ap @ (c_2Eoption_2ETHE @ X11) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X43))=(X43))<=(mem @ X43 @ X11))))))))<=(mem @ X18 @ X17))), file('/export/starexec/sandbox2/tmp/tmp.VmuEYWq8Ls/E---3.1_2156921.p', conj_thm_2Eoption_2Eoption__CLAUSES)). 258.47/37.67 thf(mem_c_2Eoption_2ESOME, axiom, ![X11:del]:((mem @ (c_2Eoption_2ESOME @ X11) @ (arr @ X11 @ (ty_2Eoption_2Eoption @ X11)))), file('/export/starexec/sandbox2/tmp/tmp.VmuEYWq8Ls/E---3.1_2156921.p', mem_c_2Eoption_2ESOME)). 258.47/37.67 thf(conj_thm_2Equotient__option_2EOPTION__REL__def, conjecture, ![X11:del, X46:$i]:((![X16:$i]:((![X47:$i]:(((mem @ X47 @ X11)=>((((~($true)<=>(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X11 @ X11) @ X46) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X16)) @ (c_2Eoption_2ENONE @ X11))))&((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X11 @ X11) @ X46) @ (c_2Eoption_2ENONE @ X11)) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X47)))<=>~($true)))&((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X11 @ X11) @ X46) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X16)) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X47)))<=>(p @ (ap @ (ap @ X46 @ X16) @ X47))))&((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X11 @ X11) @ X46) @ (c_2Eoption_2ENONE @ X11)) @ (c_2Eoption_2ENONE @ X11)))<=>($true)))))<=(mem @ X16 @ X11)))<=(mem @ X46 @ (arr @ X11 @ (arr @ X11 @ bool))))), file('/export/starexec/sandbox2/tmp/tmp.VmuEYWq8Ls/E---3.1_2156921.p', conj_thm_2Equotient__option_2EOPTION__REL__def)). 258.47/37.67 thf(ax_thm_2Eoption_2EOPTREL__def, axiom, ![X11:del, X17:del, X46:$i]:(((mem @ X46 @ (arr @ X11 @ (arr @ X17 @ bool)))=>![X16:$i]:((![X47:$i]:(((mem @ X47 @ (ty_2Eoption_2Eoption @ X17))=>((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X11 @ X17) @ X46) @ X16) @ X47))<=>((((X47)=(c_2Eoption_2ENONE @ X17))&((X16)=(c_2Eoption_2ENONE @ X11)))|?[X48:$i]:(((mem @ X48 @ X11)&?[X49:$i]:(((((mem @ X49 @ X17)&((X16)=(ap @ (c_2Eoption_2ESOME @ X11) @ X48)))&((X47)=(ap @ (c_2Eoption_2ESOME @ X17) @ X49)))&(p @ (ap @ (ap @ X46 @ X48) @ X49))))))))))<=(mem @ X16 @ (ty_2Eoption_2Eoption @ X11)))))), file('/export/starexec/sandbox2/tmp/tmp.VmuEYWq8Ls/E---3.1_2156921.p', ax_thm_2Eoption_2EOPTREL__def)). 258.47/37.67 thf(mem_c_2Eoption_2ENONE, axiom, ![X11:del]:((mem @ (c_2Eoption_2ENONE @ X11) @ (ty_2Eoption_2Eoption @ X11))), file('/export/starexec/sandbox2/tmp/tmp.VmuEYWq8Ls/E---3.1_2156921.p', mem_c_2Eoption_2ENONE)). 258.47/37.67 thf(ap_tp, axiom, ![X1:del, X2:del, X8:$i]:(((mem @ X8 @ (arr @ X1 @ X2))=>![X4:$i]:(((mem @ X4 @ X1)=>(mem @ (ap @ X8 @ X4) @ X2))))), file('/export/starexec/sandbox2/tmp/tmp.VmuEYWq8Ls/E---3.1_2156921.p', ap_tp)). 258.47/37.67 thf(c_0_6, plain, ![X20:$i, X19:$i, X18:$i, X17:del, X11:del]:(((epred1_5 @ X11 @ X17 @ X18 @ X19 @ X20)<=>(((((((((((((((((((![X21:$i]:(((mem @ X21 @ X11)=>![X22:$i]:(((mem @ X22 @ X11)=>(((X21)=(X22))<=>((ap @ (c_2Eoption_2ESOME @ X11) @ X21)=(ap @ (c_2Eoption_2ESOME @ X11) @ X22)))))))&![X23:$i]:(((mem @ X23 @ X11)=>((c_2Eoption_2ENONE @ X11)!=(ap @ (c_2Eoption_2ESOME @ X11) @ X23)))))&![X24:$i]:(((mem @ X24 @ X11)=>((ap @ (c_2Eoption_2ESOME @ X11) @ X24)!=(c_2Eoption_2ENONE @ X11)))))&![X25:$i]:(((mem @ X25 @ X11)=>((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X25)))<=>$true))))&![X26:$i]:(((mem @ X26 @ (ty_2Eoption_2Eoption @ X11))=>((p @ (ap @ (c_2Eoption_2EIS__NONE @ X11) @ X26))<=>((X26)=(c_2Eoption_2ENONE @ X11))))))&![X27:$i]:(((mem @ X27 @ (ty_2Eoption_2Eoption @ X11))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ (ty_2Eoption_2Eoption @ X11)) @ X27) @ X27) @ (c_2Eoption_2ESOME @ X11))=(X27)))))&![X28:$i]:(((mem @ X28 @ (ty_2Eoption_2Eoption @ X11))=>((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ X28))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ (ty_2Eoption_2Eoption @ X11)) @ X28) @ X20) @ (c_2Eoption_2ESOME @ X11))=(X28))))))&![X29:$i]:(((mem @ X29 @ (arr @ X11 @ X17))=>((ap @ (ap @ (c_2Eoption_2EOPTION__MAP @ X11 @ X17) @ X29) @ (c_2Eoption_2ENONE @ X11))=(c_2Eoption_2ENONE @ X17)))))&![X30:$i]:(((mem @ X30 @ (ty_2Eoption_2Eoption @ X11))=>((ap @ (c_2Eoption_2EOPTION__JOIN @ X11) @ (ap @ (c_2Eoption_2ESOME @ (ty_2Eoption_2Eoption @ X11)) @ X30))=(X30)))))&((ap @ (c_2Eoption_2EOPTION__JOIN @ X11) @ (c_2Eoption_2ENONE @ (ty_2Eoption_2Eoption @ X11)))=(c_2Eoption_2ENONE @ X11)))&![X31:$i]:(((mem @ X31 @ (arr @ X11 @ X17))=>![X32:$i]:(((mem @ X32 @ X11)=>((ap @ (ap @ (c_2Eoption_2EOPTION__MAP @ X11 @ X17) @ X31) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X32))=(ap @ (c_2Eoption_2ESOME @ X17) @ (ap @ X31 @ X32))))))))&![X33:$i]:(((mem @ X33 @ X11)=>![X34:$i]:(((mem @ X34 @ X17)=>![X35:$i]:(((mem @ X35 @ (arr @ X11 @ X17))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ X17) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X33)) @ X34) @ X35)=(ap @ X35 @ X33)))))))))&![X36:$i]:(((mem @ X36 @ X17)=>![X37:$i]:(((mem @ X37 @ (arr @ X11 @ X17))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ X17) @ (c_2Eoption_2ENONE @ X11)) @ X36) @ X37)=(X36)))))))&![X38:$i]:(((mem @ X38 @ (ty_2Eoption_2Eoption @ X11))=>((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ X38))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ X17) @ X38) @ X18) @ X19)=(ap @ X19 @ (ap @ (c_2Eoption_2ETHE @ X11) @ X38)))))))&![X39:$i]:(((mem @ X39 @ (ty_2Eoption_2Eoption @ X11))=>((p @ (ap @ (c_2Eoption_2EIS__NONE @ X11) @ X39))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ X17) @ X39) @ X18) @ X19)=(X18))))))&![X40:$i]:(((mem @ X40 @ (ty_2Eoption_2Eoption @ X11))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ (ty_2Eoption_2Eoption @ X11)) @ X40) @ (c_2Eoption_2ENONE @ X11)) @ (c_2Eoption_2ESOME @ X11))=(X40)))))&![X41:$i]:(((mem @ X41 @ (ty_2Eoption_2Eoption @ X11))=>((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ X41))=>((ap @ (c_2Eoption_2ESOME @ X11) @ (ap @ (c_2Eoption_2ETHE @ X11) @ X41))=(X41))))))&![X42:$i]:(((mem @ X42 @ (ty_2Eoption_2Eoption @ X11))=>(~(p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ X42))<=>((X42)=(c_2Eoption_2ENONE @ X11))))))&((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ (c_2Eoption_2ENONE @ X11)))<=>~($true)))&![X43:$i]:(((mem @ X43 @ X11)=>((ap @ (c_2Eoption_2ETHE @ X11) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X43))=(X43))))))), introduced(definition)). 258.47/37.67 thf(c_0_7, plain, ![X20:$i, X19:$i, X18:$i, X17:del, X11:del]:(((epred1_5 @ X11 @ X17 @ X18 @ X19 @ X20)=>(((((((((((((((((((![X21:$i]:(((mem @ X21 @ X11)=>![X22:$i]:(((mem @ X22 @ X11)=>(((X21)=(X22))<=>((ap @ (c_2Eoption_2ESOME @ X11) @ X21)=(ap @ (c_2Eoption_2ESOME @ X11) @ X22)))))))&![X23:$i]:(((mem @ X23 @ X11)=>((c_2Eoption_2ENONE @ X11)!=(ap @ (c_2Eoption_2ESOME @ X11) @ X23)))))&![X24:$i]:(((mem @ X24 @ X11)=>((ap @ (c_2Eoption_2ESOME @ X11) @ X24)!=(c_2Eoption_2ENONE @ X11)))))&![X25:$i]:(((mem @ X25 @ X11)=>((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X25)))<=>$true))))&![X26:$i]:(((mem @ X26 @ (ty_2Eoption_2Eoption @ X11))=>((p @ (ap @ (c_2Eoption_2EIS__NONE @ X11) @ X26))<=>((X26)=(c_2Eoption_2ENONE @ X11))))))&![X27:$i]:(((mem @ X27 @ (ty_2Eoption_2Eoption @ X11))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ (ty_2Eoption_2Eoption @ X11)) @ X27) @ X27) @ (c_2Eoption_2ESOME @ X11))=(X27)))))&![X28:$i]:(((mem @ X28 @ (ty_2Eoption_2Eoption @ X11))=>((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ X28))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ (ty_2Eoption_2Eoption @ X11)) @ X28) @ X20) @ (c_2Eoption_2ESOME @ X11))=(X28))))))&![X29:$i]:(((mem @ X29 @ (arr @ X11 @ X17))=>((ap @ (ap @ (c_2Eoption_2EOPTION__MAP @ X11 @ X17) @ X29) @ (c_2Eoption_2ENONE @ X11))=(c_2Eoption_2ENONE @ X17)))))&![X30:$i]:(((mem @ X30 @ (ty_2Eoption_2Eoption @ X11))=>((ap @ (c_2Eoption_2EOPTION__JOIN @ X11) @ (ap @ (c_2Eoption_2ESOME @ (ty_2Eoption_2Eoption @ X11)) @ X30))=(X30)))))&((ap @ (c_2Eoption_2EOPTION__JOIN @ X11) @ (c_2Eoption_2ENONE @ (ty_2Eoption_2Eoption @ X11)))=(c_2Eoption_2ENONE @ X11)))&![X31:$i]:(((mem @ X31 @ (arr @ X11 @ X17))=>![X32:$i]:(((mem @ X32 @ X11)=>((ap @ (ap @ (c_2Eoption_2EOPTION__MAP @ X11 @ X17) @ X31) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X32))=(ap @ (c_2Eoption_2ESOME @ X17) @ (ap @ X31 @ X32))))))))&![X33:$i]:(((mem @ X33 @ X11)=>![X34:$i]:(((mem @ X34 @ X17)=>![X35:$i]:(((mem @ X35 @ (arr @ X11 @ X17))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ X17) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X33)) @ X34) @ X35)=(ap @ X35 @ X33)))))))))&![X36:$i]:(((mem @ X36 @ X17)=>![X37:$i]:(((mem @ X37 @ (arr @ X11 @ X17))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ X17) @ (c_2Eoption_2ENONE @ X11)) @ X36) @ X37)=(X36)))))))&![X38:$i]:(((mem @ X38 @ (ty_2Eoption_2Eoption @ X11))=>((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ X38))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ X17) @ X38) @ X18) @ X19)=(ap @ X19 @ (ap @ (c_2Eoption_2ETHE @ X11) @ X38)))))))&![X39:$i]:(((mem @ X39 @ (ty_2Eoption_2Eoption @ X11))=>((p @ (ap @ (c_2Eoption_2EIS__NONE @ X11) @ X39))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ X17) @ X39) @ X18) @ X19)=(X18))))))&![X40:$i]:(((mem @ X40 @ (ty_2Eoption_2Eoption @ X11))=>((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X11 @ (ty_2Eoption_2Eoption @ X11)) @ X40) @ (c_2Eoption_2ENONE @ X11)) @ (c_2Eoption_2ESOME @ X11))=(X40)))))&![X41:$i]:(((mem @ X41 @ (ty_2Eoption_2Eoption @ X11))=>((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ X41))=>((ap @ (c_2Eoption_2ESOME @ X11) @ (ap @ (c_2Eoption_2ETHE @ X11) @ X41))=(X41))))))&![X42:$i]:(((mem @ X42 @ (ty_2Eoption_2Eoption @ X11))=>(~(p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ X42))<=>((X42)=(c_2Eoption_2ENONE @ X11))))))&((p @ (ap @ (c_2Eoption_2EIS__SOME @ X11) @ (c_2Eoption_2ENONE @ X11)))<=>~($true)))&![X43:$i]:(((mem @ X43 @ X11)=>((ap @ (c_2Eoption_2ETHE @ X11) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X43))=(X43))))))), inference(split_equiv,[status(thm)],[c_0_6])). 258.47/37.67 thf(c_0_8, plain, ![X11:del, X17:del, X18:$i]:(((mem @ X18 @ X17)=>![X19:$i]:(((mem @ X19 @ (arr @ X11 @ X17))=>![X20:$i]:(((mem @ X20 @ (ty_2Eoption_2Eoption @ X11))=>(epred1_5 @ X11 @ X17 @ X18 @ X19 @ X20))))))), inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[conj_thm_2Eoption_2Eoption__CLAUSES]), c_0_6])). 258.47/37.67 thf(c_0_9, plain, ![X173:$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:$i]:((((((((((((((((((((((((X178)!=(X179))|((ap @ (c_2Eoption_2ESOME @ X177) @ X178)=(ap @ (c_2Eoption_2ESOME @ X177) @ X179))|~(mem @ X179 @ X177)|~(mem @ X178 @ X177)|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173))&(((ap @ (c_2Eoption_2ESOME @ X177) @ X178)!=(ap @ (c_2Eoption_2ESOME @ X177) @ X179))|((X178)=(X179))|~(mem @ X179 @ X177)|~(mem @ X178 @ X177)|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&(~(mem @ X180 @ X177)|((c_2Eoption_2ENONE @ X177)!=(ap @ (c_2Eoption_2ESOME @ X177) @ X180))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&(~(mem @ X181 @ X177)|((ap @ (c_2Eoption_2ESOME @ X177) @ X181)!=(c_2Eoption_2ENONE @ X177))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&((~(p @ (ap @ (c_2Eoption_2EIS__SOME @ X177) @ (ap @ (c_2Eoption_2ESOME @ X177) @ X182)))|($true)|~(mem @ X182 @ X177)|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173))&(~($true)|(p @ (ap @ (c_2Eoption_2EIS__SOME @ X177) @ (ap @ (c_2Eoption_2ESOME @ X177) @ X182)))|~(mem @ X182 @ X177)|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173))))&((~(p @ (ap @ (c_2Eoption_2EIS__NONE @ X177) @ X183))|((X183)=(c_2Eoption_2ENONE @ X177))|~(mem @ X183 @ (ty_2Eoption_2Eoption @ X177))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173))&(((X183)!=(c_2Eoption_2ENONE @ X177))|(p @ (ap @ (c_2Eoption_2EIS__NONE @ X177) @ X183))|~(mem @ X183 @ (ty_2Eoption_2Eoption @ X177))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173))))&(~(mem @ X184 @ (ty_2Eoption_2Eoption @ X177))|((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X177 @ (ty_2Eoption_2Eoption @ X177)) @ X184) @ X184) @ (c_2Eoption_2ESOME @ X177))=(X184))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&(~(mem @ X185 @ (ty_2Eoption_2Eoption @ X177))|(~(p @ (ap @ (c_2Eoption_2EIS__SOME @ X177) @ X185))|((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X177 @ (ty_2Eoption_2Eoption @ X177)) @ X185) @ X173) @ (c_2Eoption_2ESOME @ X177))=(X185)))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&(~(mem @ X186 @ (arr @ X177 @ X176))|((ap @ (ap @ (c_2Eoption_2EOPTION__MAP @ X177 @ X176) @ X186) @ (c_2Eoption_2ENONE @ X177))=(c_2Eoption_2ENONE @ X176))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&(~(mem @ X187 @ (ty_2Eoption_2Eoption @ X177))|((ap @ (c_2Eoption_2EOPTION__JOIN @ X177) @ (ap @ (c_2Eoption_2ESOME @ (ty_2Eoption_2Eoption @ X177)) @ X187))=(X187))|~(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 @ X188 @ (arr @ X177 @ X176))|(~(mem @ X189 @ X177)|((ap @ (ap @ (c_2Eoption_2EOPTION__MAP @ X177 @ X176) @ X188) @ (ap @ (c_2Eoption_2ESOME @ X177) @ X189))=(ap @ (c_2Eoption_2ESOME @ X176) @ (ap @ X188 @ X189))))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&(~(mem @ X190 @ X177)|(~(mem @ X191 @ X176)|(~(mem @ X192 @ (arr @ X177 @ X176))|((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X177 @ X176) @ (ap @ (c_2Eoption_2ESOME @ X177) @ X190)) @ X191) @ X192)=(ap @ X192 @ X190))))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&(~(mem @ X193 @ X176)|(~(mem @ X194 @ (arr @ X177 @ X176))|((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X177 @ X176) @ (c_2Eoption_2ENONE @ X177)) @ X193) @ X194)=(X193)))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&(~(mem @ X195 @ (ty_2Eoption_2Eoption @ X177))|(~(p @ (ap @ (c_2Eoption_2EIS__SOME @ X177) @ X195))|((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X177 @ X176) @ X195) @ X175) @ X174)=(ap @ X174 @ (ap @ (c_2Eoption_2ETHE @ X177) @ X195))))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&(~(mem @ X196 @ (ty_2Eoption_2Eoption @ X177))|(~(p @ (ap @ (c_2Eoption_2EIS__NONE @ X177) @ X196))|((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X177 @ X176) @ X196) @ X175) @ X174)=(X175)))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&(~(mem @ X197 @ (ty_2Eoption_2Eoption @ X177))|((ap @ (ap @ (ap @ (c_2Eoption_2Eoption__CASE @ X177 @ (ty_2Eoption_2Eoption @ X177)) @ X197) @ (c_2Eoption_2ENONE @ X177)) @ (c_2Eoption_2ESOME @ X177))=(X197))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&(~(mem @ X198 @ (ty_2Eoption_2Eoption @ X177))|(~(p @ (ap @ (c_2Eoption_2EIS__SOME @ X177) @ X198))|((ap @ (c_2Eoption_2ESOME @ X177) @ (ap @ (c_2Eoption_2ETHE @ X177) @ X198))=(X198)))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))&(((p @ (ap @ (c_2Eoption_2EIS__SOME @ X177) @ X199))|((X199)=(c_2Eoption_2ENONE @ X177))|~(mem @ X199 @ (ty_2Eoption_2Eoption @ X177))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173))&(((X199)!=(c_2Eoption_2ENONE @ X177))|~(p @ (ap @ (c_2Eoption_2EIS__SOME @ X177) @ X199))|~(mem @ X199 @ (ty_2Eoption_2Eoption @ X177))|~(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))&(($true)|(p @ (ap @ (c_2Eoption_2EIS__SOME @ X177) @ (c_2Eoption_2ENONE @ X177)))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173))))&(~(mem @ X200 @ X177)|((ap @ (c_2Eoption_2ETHE @ X177) @ (ap @ (c_2Eoption_2ESOME @ X177) @ X200))=(X200))|~(epred1_5 @ X177 @ X176 @ X175 @ X174 @ X173)))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])])). 258.47/37.67 thf(c_0_10, plain, ![X156:del, X157:del, X158:$i, X159:$i, X160:$i]:((~(mem @ X158 @ X157)|(~(mem @ X159 @ (arr @ X156 @ X157))|(~(mem @ X160 @ (ty_2Eoption_2Eoption @ X156))|(epred1_5 @ X156 @ X157 @ X158 @ X159 @ X160))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])). 258.47/37.67 thf(c_0_11, plain, ![X4:$i, X1:del, X2:del, X5:$i, X6:$i, X8:$i, X10:$i]:((((X4)=(X5))|((ap @ (c_2Eoption_2ESOME @ X1) @ X4)!=(ap @ (c_2Eoption_2ESOME @ X1) @ X5))|~((mem @ X5 @ X1))|~((mem @ X4 @ X1))|~((epred1_5 @ X1 @ X2 @ X6 @ X8 @ X10)))), inference(split_conjunct,[status(thm)],[c_0_9])). 258.47/37.67 thf(c_0_12, plain, ![X4:$i, X1:del, X5:$i, X6:$i, X2:del]:(((epred1_5 @ X2 @ X1 @ X4 @ X5 @ X6)|~((mem @ X4 @ X1))|~((mem @ X5 @ (arr @ X2 @ X1)))|~((mem @ X6 @ (ty_2Eoption_2Eoption @ X2))))), inference(split_conjunct,[status(thm)],[c_0_10])). 258.47/37.67 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])). 258.47/37.67 thf(c_0_14, plain, ![X4:$i, X1:del, X2:del, X5:$i, X6:$i, X8:$i]:((~((mem @ X4 @ X1))|((c_2Eoption_2ENONE @ X1)!=(ap @ (c_2Eoption_2ESOME @ X1) @ X4))|~((epred1_5 @ X1 @ X2 @ X5 @ X6 @ X8)))), inference(split_conjunct,[status(thm)],[c_0_9])). 258.47/37.67 thf(c_0_15, negated_conjecture, ~(![X11:del, X46:$i]:((![X16:$i]:((![X47:$i]:(((mem @ X47 @ X11)=>((((~($true)<=>(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X11 @ X11) @ X46) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X16)) @ (c_2Eoption_2ENONE @ X11))))&((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X11 @ X11) @ X46) @ (c_2Eoption_2ENONE @ X11)) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X47)))<=>~($true)))&((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X11 @ X11) @ X46) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X16)) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X47)))<=>(p @ (ap @ (ap @ X46 @ X16) @ X47))))&((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X11 @ X11) @ X46) @ (c_2Eoption_2ENONE @ X11)) @ (c_2Eoption_2ENONE @ X11)))<=>($true)))))<=(mem @ X16 @ X11)))<=(mem @ X46 @ (arr @ X11 @ (arr @ X11 @ bool)))))), inference(assume_negation,[status(cth)],[conj_thm_2Equotient__option_2EOPTION__REL__def])). 258.47/37.67 thf(c_0_16, plain, ![X11:del, X17:del, X46:$i]:(((mem @ X46 @ (arr @ X11 @ (arr @ X17 @ bool)))=>![X16:$i]:(((mem @ X16 @ (ty_2Eoption_2Eoption @ X11))=>![X47:$i]:(((mem @ X47 @ (ty_2Eoption_2Eoption @ X17))=>((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X11 @ X17) @ X46) @ X16) @ X47))<=>((((X47)=(c_2Eoption_2ENONE @ X17))&((X16)=(c_2Eoption_2ENONE @ X11)))|?[X48:$i]:(((mem @ X48 @ X11)&?[X49:$i]:(((((mem @ X49 @ X17)&((X16)=(ap @ (c_2Eoption_2ESOME @ X11) @ X48)))&((X47)=(ap @ (c_2Eoption_2ESOME @ X17) @ X49)))&(p @ (ap @ (ap @ X46 @ X48) @ X49)))))))))))))), inference(fof_simplification,[status(thm)],[ax_thm_2Eoption_2EOPTREL__def])). 258.47/37.67 thf(c_0_17, plain, ![X4:$i, X1:del, X6:$i, X5:$i, X10:$i, X8:$i, X2:del]:((((X4)=(X5))|((ap @ (c_2Eoption_2ESOME @ X1) @ X4)!=(ap @ (c_2Eoption_2ESOME @ X1) @ X5))|~((mem @ X6 @ (arr @ X1 @ X2)))|~((mem @ X8 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X5 @ X1))|~((mem @ X4 @ X1))|~((mem @ X10 @ X2)))), inference(spm,[status(thm)],[c_0_11, c_0_12])). 258.47/37.67 thf(c_0_18, plain, ![X1:del]:((mem @ (c_2Eoption_2ESOME @ X1) @ (arr @ X1 @ (ty_2Eoption_2Eoption @ X1)))), inference(split_conjunct,[status(thm)],[c_0_13])). 258.47/37.67 thf(c_0_19, plain, ![X161:del]:((mem @ (c_2Eoption_2ENONE @ X161) @ (ty_2Eoption_2Eoption @ X161))), inference(variable_rename,[status(thm)],[mem_c_2Eoption_2ENONE])). 258.47/37.67 thf(c_0_20, plain, ![X4:$i, X1:del, X5:$i, X8:$i, X6:$i, X2:del]:((((ap @ (c_2Eoption_2ESOME @ X1) @ X4)!=(c_2Eoption_2ENONE @ X1))|~((mem @ X5 @ (arr @ X1 @ X2)))|~((mem @ X6 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X4 @ X1))|~((mem @ X8 @ X2)))), inference(spm,[status(thm)],[c_0_14, c_0_12])). 258.47/37.67 thf(c_0_21, negated_conjecture, ~(![X11:del, X46:$i]:(((mem @ X46 @ (arr @ X11 @ (arr @ X11 @ bool)))=>![X16:$i]:(((mem @ X16 @ X11)=>![X47:$i]:(((mem @ X47 @ X11)=>((((~($true)<=>(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X11 @ X11) @ X46) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X16)) @ (c_2Eoption_2ENONE @ X11))))&((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X11 @ X11) @ X46) @ (c_2Eoption_2ENONE @ X11)) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X47)))<=>~($true)))&((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X11 @ X11) @ X46) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X16)) @ (ap @ (c_2Eoption_2ESOME @ X11) @ X47)))<=>(p @ (ap @ (ap @ X46 @ X16) @ X47))))&((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X11 @ X11) @ X46) @ (c_2Eoption_2ENONE @ X11)) @ (c_2Eoption_2ENONE @ X11)))<=>$true))))))))), inference(fof_simplification,[status(thm)],[c_0_15])). 258.47/37.67 thf(c_0_22, plain, ![X147:del, X148:del, X149:$i, X150:$i, X151:$i, X154:$i, X155:$i]:((((((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))))&(((((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)|((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)|((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)))))))&((((X151)!=(c_2Eoption_2ENONE @ 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))))&(~(mem @ X154 @ X147)|(~(mem @ X155 @ X148)|((X150)!=(ap @ (c_2Eoption_2ESOME @ X147) @ X154))|((X151)!=(ap @ (c_2Eoption_2ESOME @ X148) @ X155))|~(p @ (ap @ (ap @ X149 @ X154) @ X155)))|(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_16])])])])])])). 258.47/37.67 thf(c_0_23, plain, ![X131:del, X132:del, X133:$i, X134:$i]:((~(mem @ X133 @ (arr @ X131 @ X132))|(~(mem @ X134 @ X131)|(mem @ (ap @ X133 @ X134) @ X132)))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ap_tp])])])])). 258.47/37.67 thf(c_0_24, plain, ![X4:$i, X8:$i, X6:$i, X5:$i, X1:del]:((((X4)=(X5))|((ap @ (c_2Eoption_2ESOME @ X1) @ X4)!=(ap @ (c_2Eoption_2ESOME @ X1) @ X5))|~((mem @ X6 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X8 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X5 @ X1))|~((mem @ X4 @ X1)))), inference(spm,[status(thm)],[c_0_17, c_0_18])). 258.47/37.67 thf(c_0_25, plain, ![X1:del]:((mem @ (c_2Eoption_2ENONE @ X1) @ (ty_2Eoption_2Eoption @ X1))), inference(split_conjunct,[status(thm)],[c_0_19])). 258.47/37.67 thf(c_0_26, plain, ![X4:$i, X6:$i, X5:$i, X1:del]:((((ap @ (c_2Eoption_2ESOME @ X1) @ X4)!=(c_2Eoption_2ENONE @ X1))|~((mem @ X5 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X6 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X4 @ X1)))), inference(spm,[status(thm)],[c_0_20, c_0_18])). 258.47/37.67 thf(c_0_27, 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)))|~($true)|(~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|~(p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0))|(~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|($true)|(($true)|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))))))&((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|($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))|(~(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)))|($true)|(($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))))))))&((~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|~($true)|((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0))|(~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|($true)|(($true)|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))))))&((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|($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))|(~(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)))|($true)|(($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)))))))))&(((~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|~($true)|(~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|~(p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0))|((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|~($true)|(($true)|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))))))&((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|($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))|((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)))|~($true)|(($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))))))))&((~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|~($true)|((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0))|((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|~($true)|(($true)|~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))))))&((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|($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))|((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)))|~($true)|(($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))))))))))&((((~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|~($true)|(~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|~(p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0))|(~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|($true)|(~($true)|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))))))&((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|($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))|(~(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)))|($true)|(~($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))))))))&((~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|~($true)|((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0))|(~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|($true)|(~($true)|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))))))&((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|($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))|(~(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)))|($true)|(~($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)))))))))&(((~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|~($true)|(~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|~(p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0))|((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|~($true)|(~($true)|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))))))&((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|($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))|((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)))|~($true)|(~($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))))))))&((~(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|~($true)|((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0))|((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|~($true)|(~($true)|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))))))&((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|($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))|((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)))|~($true)|(~($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)))))))))))))), 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_21])])])])])). 258.47/37.67 thf(c_0_28, plain, ![X4:$i, X1:del, X6:$i, X8:$i, X10:$i, X5:$i, X2:del]:(((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X1 @ X2) @ X10) @ X6) @ X8))|~((mem @ X4 @ X1))|~((mem @ X5 @ X2))|((X6)!=(ap @ (c_2Eoption_2ESOME @ X1) @ X4))|((X8)!=(ap @ (c_2Eoption_2ESOME @ X2) @ X5))|~((p @ (ap @ (ap @ X10 @ X4) @ X5)))|~((mem @ X8 @ (ty_2Eoption_2Eoption @ X2)))|~((mem @ X6 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X10 @ (arr @ X1 @ (arr @ X2 @ bool)))))), inference(split_conjunct,[status(thm)],[c_0_22])). 258.47/37.67 thf(c_0_29, plain, ![X4:$i, X5:$i, X2:del, X1:del]:(((mem @ (ap @ X4 @ X5) @ X2)|~((mem @ X4 @ (arr @ X1 @ X2)))|~((mem @ X5 @ X1)))), inference(split_conjunct,[status(thm)],[c_0_23])). 258.47/37.67 thf(c_0_30, plain, ![X4:$i, X6:$i, X5:$i, X1:del]:((((X4)=(X5))|((ap @ (c_2Eoption_2ESOME @ X1) @ X4)!=(ap @ (c_2Eoption_2ESOME @ X1) @ X5))|~((mem @ X6 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X5 @ X1))|~((mem @ X4 @ X1)))), inference(spm,[status(thm)],[c_0_24, c_0_25])). 258.47/37.67 thf(c_0_31, plain, ![X4:$i, X5:$i, X1:del]:((((ap @ (c_2Eoption_2ESOME @ X1) @ X4)!=(c_2Eoption_2ENONE @ X1))|~((mem @ X5 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X4 @ X1)))), inference(spm,[status(thm)],[c_0_26, c_0_25])). 258.47/37.67 thf(c_0_32, 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 @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0))))|~(($true))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0))))|~((p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0)))|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_27])). 258.47/37.67 thf(c_0_33, plain, ![X4:$i, X6:$i, X5:$i, X2:del, X1:del]:(((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X1 @ X2) @ X4) @ (ap @ (c_2Eoption_2ESOME @ X1) @ X5)) @ (ap @ (c_2Eoption_2ESOME @ X2) @ X6)))|~((mem @ X4 @ (arr @ X1 @ (arr @ X2 @ bool))))|~((mem @ (ap @ (c_2Eoption_2ESOME @ X2) @ X6) @ (ty_2Eoption_2Eoption @ X2)))|~((mem @ (ap @ (c_2Eoption_2ESOME @ X1) @ X5) @ (ty_2Eoption_2Eoption @ X1)))|~((p @ (ap @ (ap @ X4 @ X5) @ X6)))|~((mem @ X6 @ X2))|~((mem @ X5 @ X1)))), inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_28])])). 258.47/37.67 thf(c_0_34, plain, ![X4:$i, X1:del]:(((mem @ (ap @ (c_2Eoption_2ESOME @ X1) @ X4) @ (ty_2Eoption_2Eoption @ X1))|~((mem @ X4 @ X1)))), inference(spm,[status(thm)],[c_0_29, c_0_18])). 258.47/37.67 thf(c_0_35, plain, ![X4:$i, X5:$i, X1:del]:((((X4)=(X5))|((ap @ (c_2Eoption_2ESOME @ X1) @ X4)!=(ap @ (c_2Eoption_2ESOME @ X1) @ X5))|~((mem @ X5 @ X1))|~((mem @ X4 @ X1)))), inference(spm,[status(thm)],[c_0_30, c_0_25])). 258.47/37.67 thf(c_0_36, plain, ![X4:$i, X6:$i, X5:$i, X2:del, X1:del]:((((X4)=(ap @ (c_2Eoption_2ESOME @ X1) @ (esk8_5 @ X2 @ X1 @ X5 @ X6 @ X4)))|((X4)=(c_2Eoption_2ENONE @ X1))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X2 @ X1) @ X5) @ X6) @ X4)))|~((mem @ X4 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X6 @ (ty_2Eoption_2Eoption @ X2)))|~((mem @ X5 @ (arr @ X2 @ (arr @ X1 @ bool)))))), inference(split_conjunct,[status(thm)],[c_0_22])). 258.47/37.67 thf(c_0_37, plain, ![X4:$i, X1:del]:((((ap @ (c_2Eoption_2ESOME @ X1) @ X4)!=(c_2Eoption_2ENONE @ X1))|~((mem @ X4 @ X1)))), inference(spm,[status(thm)],[c_0_31, c_0_25])). 258.47/37.67 thf(c_0_38, negated_conjecture, ((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(p @ (ap @ (ap @ esk2_0 @ esk3_0) @ esk4_0))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)))|(p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)) @ (c_2Eoption_2ENONE @ esk1_0)))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ esk1_0 @ esk1_0) @ esk2_0) @ (c_2Eoption_2ENONE @ esk1_0)) @ (c_2Eoption_2ENONE @ esk1_0))))|~(($true))|~(($true))|~(($true))), inference(split_conjunct,[status(thm)],[c_0_27])). 258.47/37.67 thf(c_0_39, 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_32])). 258.47/37.67 thf(c_0_40, plain, ![X4:$i, X6:$i, X5:$i, X2:del, X1:del]:(((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X1 @ X2) @ X4) @ (ap @ (c_2Eoption_2ESOME @ X1) @ X5)) @ (ap @ (c_2Eoption_2ESOME @ X2) @ X6)))|~((mem @ X4 @ (arr @ X1 @ (arr @ X2 @ bool))))|~((p @ (ap @ (ap @ X4 @ X5) @ X6)))|~((mem @ X6 @ X2))|~((mem @ X5 @ X1)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_33, c_0_34]), c_0_34])). 258.47/37.67 thf(c_0_41, negated_conjecture, (mem @ esk2_0 @ (arr @ esk1_0 @ (arr @ esk1_0 @ bool))), inference(split_conjunct,[status(thm)],[c_0_27])). 258.47/37.67 thf(c_0_42, negated_conjecture, (mem @ esk4_0 @ esk1_0), inference(split_conjunct,[status(thm)],[c_0_27])). 258.47/37.67 thf(c_0_43, negated_conjecture, (mem @ esk3_0 @ esk1_0), inference(split_conjunct,[status(thm)],[c_0_27])). 258.47/37.67 thf(c_0_44, plain, ![X4:$i, X1:del, X5:$i, X6:$i, X2:del]:((((esk8_5 @ X1 @ X2 @ X4 @ X5 @ (ap @ (c_2Eoption_2ESOME @ X2) @ X6))=(X6))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X1 @ X2) @ X4) @ X5) @ (ap @ (c_2Eoption_2ESOME @ X2) @ X6))))|~((mem @ (esk8_5 @ X1 @ X2 @ X4 @ X5 @ (ap @ (c_2Eoption_2ESOME @ X2) @ X6)) @ X2))|~((mem @ X4 @ (arr @ X1 @ (arr @ X2 @ bool))))|~((mem @ X5 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X6 @ X2)))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_36])]), c_0_34]), c_0_37])). 258.47/37.67 thf(c_0_45, 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_38])). 258.47/37.67 thf(c_0_46, 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_39, c_0_40]), c_0_41]), c_0_42]), c_0_43])])). 258.47/37.67 thf(c_0_47, plain, ![X4:$i, X1:del, X6:$i, X5:$i, X2:del]:(((mem @ (esk8_5 @ X1 @ X2 @ X4 @ X5 @ X6) @ X2)|((X6)=(c_2Eoption_2ENONE @ X2))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X1 @ X2) @ X4) @ X5) @ X6)))|~((mem @ X6 @ (ty_2Eoption_2Eoption @ X2)))|~((mem @ X5 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X4 @ (arr @ X1 @ (arr @ X2 @ bool)))))), inference(split_conjunct,[status(thm)],[c_0_22])). 258.47/37.67 thf(c_0_48, plain, ![X4:$i, X1:del, X6:$i, X5:$i, X2:del]:((((X4)=(ap @ (c_2Eoption_2ESOME @ X1) @ (esk7_5 @ X1 @ X2 @ X5 @ X4 @ X6)))|((X6)=(c_2Eoption_2ENONE @ X2))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X1 @ X2) @ X5) @ X4) @ X6)))|~((mem @ X6 @ (ty_2Eoption_2Eoption @ X2)))|~((mem @ X4 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X5 @ (arr @ X1 @ (arr @ X2 @ bool)))))), inference(split_conjunct,[status(thm)],[c_0_22])). 258.47/37.67 thf(c_0_49, 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))|(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_44, c_0_45]), c_0_41]), c_0_42])]), c_0_46])). 258.47/37.67 thf(c_0_50, negated_conjecture, (((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) @ (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_47, c_0_45]), c_0_41])]), c_0_46])). 258.47/37.67 thf(c_0_51, plain, ![X4:$i, X6:$i, X5:$i, X2:del, X1:del]:((((esk7_5 @ X1 @ X2 @ X4 @ (ap @ (c_2Eoption_2ESOME @ X1) @ X5) @ X6)=(X5))|((X6)=(c_2Eoption_2ENONE @ X2))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X1 @ X2) @ X4) @ (ap @ (c_2Eoption_2ESOME @ X1) @ X5)) @ X6)))|~((mem @ (esk7_5 @ X1 @ X2 @ X4 @ (ap @ (c_2Eoption_2ESOME @ X1) @ X5) @ X6) @ X1))|~((mem @ X4 @ (arr @ X1 @ (arr @ X2 @ bool))))|~((mem @ X6 @ (ty_2Eoption_2Eoption @ X2)))|~((mem @ X5 @ X1)))), inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_35, c_0_48])]), c_0_34])). 258.47/37.67 thf(c_0_52, plain, ![X4:$i, X1:del, X6:$i, X5:$i, X2:del]:(((mem @ (esk7_5 @ X1 @ X2 @ X4 @ X5 @ X6) @ X1)|((X6)=(c_2Eoption_2ENONE @ X2))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X1 @ X2) @ X4) @ X5) @ X6)))|~((mem @ X6 @ (ty_2Eoption_2Eoption @ X2)))|~((mem @ X5 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X4 @ (arr @ X1 @ (arr @ X2 @ bool)))))), inference(split_conjunct,[status(thm)],[c_0_22])). 258.47/37.67 thf(c_0_53, plain, ![X4:$i, X1:del, X6:$i, X5:$i, X2:del]:(((p @ (ap @ (ap @ X4 @ (esk7_5 @ X1 @ X2 @ X4 @ X5 @ X6)) @ (esk8_5 @ X1 @ X2 @ X4 @ X5 @ X6)))|((X6)=(c_2Eoption_2ENONE @ X2))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X1 @ X2) @ X4) @ X5) @ X6)))|~((mem @ X6 @ (ty_2Eoption_2Eoption @ X2)))|~((mem @ X5 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X4 @ (arr @ X1 @ (arr @ X2 @ bool)))))), inference(split_conjunct,[status(thm)],[c_0_22])). 258.47/37.67 thf(c_0_54, 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) @ 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)) @ (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_49, c_0_50])). 258.47/37.67 thf(c_0_55, 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) @ esk4_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)))), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_45]), c_0_41]), c_0_43])]), c_0_46])). 258.47/37.67 thf(c_0_56, negated_conjecture, (((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) @ (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_52, c_0_45]), c_0_41])]), c_0_46])). 258.47/37.67 thf(c_0_57, plain, ![X4:$i, X6:$i, X5:$i, X2:del, X1:del]:((((X4)=(ap @ (c_2Eoption_2ESOME @ X1) @ (esk8_5 @ X2 @ X1 @ X5 @ X6 @ X4)))|((X6)=(c_2Eoption_2ENONE @ X2))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X2 @ X1) @ X5) @ X6) @ X4)))|~((mem @ X4 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X6 @ (ty_2Eoption_2Eoption @ X2)))|~((mem @ X5 @ (arr @ X2 @ (arr @ X1 @ bool)))))), inference(split_conjunct,[status(thm)],[c_0_22])). 258.47/37.67 thf(c_0_58, negated_conjecture, (((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_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_53, c_0_54]), c_0_41])])). 258.47/37.67 thf(c_0_59, 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) @ 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)) @ (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_55, c_0_56])). 258.47/37.67 thf(c_0_60, plain, ![X4:$i, X5:$i, X2:del, X1:del]:((((X4)=(c_2Eoption_2ENONE @ X1))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X1 @ X2) @ X5) @ X4) @ (c_2Eoption_2ENONE @ X2))))|~((mem @ (esk8_5 @ X1 @ X2 @ X5 @ X4 @ (c_2Eoption_2ENONE @ X2)) @ X2))|~((mem @ X5 @ (arr @ X1 @ (arr @ X2 @ bool))))|~((mem @ X4 @ (ty_2Eoption_2Eoption @ X1))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_57])]), c_0_25])])). 258.47/37.67 thf(c_0_61, negated_conjecture, (((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)) @ (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_58, c_0_59]), c_0_45]), c_0_46])). 258.47/37.67 thf(c_0_62, plain, ![X4:$i, X5:$i, X2:del, X1:del]:((((X4)=(c_2Eoption_2ENONE @ X1))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X2 @ X1) @ X5) @ (c_2Eoption_2ENONE @ X2)) @ X4)))|~((mem @ (esk7_5 @ X2 @ X1 @ X5 @ (c_2Eoption_2ENONE @ X2) @ X4) @ X2))|~((mem @ X5 @ (arr @ X2 @ (arr @ X1 @ bool))))|~((mem @ X4 @ (ty_2Eoption_2Eoption @ X1))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_48])]), c_0_25])])). 258.47/37.67 thf(c_0_63, plain, (((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))|(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_60, c_0_61]), c_0_41])])). 258.47/37.67 thf(c_0_64, 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))|~((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) @ 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_62, c_0_63]), c_0_41])])). 258.47/37.67 thf(c_0_65, plain, ![X4:$i, X1:del, X6:$i, X5:$i, X2:del]:(((mem @ (esk8_5 @ X1 @ X2 @ X4 @ X5 @ X6) @ X2)|((X5)=(c_2Eoption_2ENONE @ X1))|~((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X1 @ X2) @ X4) @ X5) @ X6)))|~((mem @ X6 @ (ty_2Eoption_2Eoption @ X2)))|~((mem @ X5 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X4 @ (arr @ X1 @ (arr @ X2 @ bool)))))), inference(split_conjunct,[status(thm)],[c_0_22])). 258.47/37.67 thf(c_0_66, 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 @ (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) @ 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_52, c_0_63]), c_0_41]), c_0_25])]), c_0_64])). 258.47/37.67 thf(c_0_67, 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))|(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_65, c_0_61]), c_0_41]), c_0_25])]), c_0_66])). 258.47/37.67 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_62, c_0_67]), c_0_41])])). 258.47/37.67 thf(c_0_69, plain, ![X4:$i, X6:$i, X5:$i, X2:del, X1:del]:(((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X2 @ X1) @ X6) @ X5) @ X4))|((X4)!=(c_2Eoption_2ENONE @ X1))|((X5)!=(c_2Eoption_2ENONE @ X2))|~((mem @ X4 @ (ty_2Eoption_2Eoption @ X1)))|~((mem @ X5 @ (ty_2Eoption_2Eoption @ X2)))|~((mem @ X6 @ (arr @ X2 @ (arr @ X1 @ bool)))))), inference(split_conjunct,[status(thm)],[c_0_22])). 258.47/37.67 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_52, c_0_67]), c_0_41]), c_0_25])]), c_0_68])). 258.47/37.67 thf(c_0_71, plain, ![X4:$i, X1:del, X2:del]:(((p @ (ap @ (ap @ (ap @ (c_2Eoption_2EOPTREL @ X1 @ X2) @ X4) @ (c_2Eoption_2ENONE @ X1)) @ (c_2Eoption_2ENONE @ X2)))|~((mem @ X4 @ (arr @ X1 @ (arr @ X2 @ bool)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_69])]), c_0_25]), c_0_25])])). 258.47/37.67 thf(c_0_72, negated_conjecture, (((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)=(c_2Eoption_2ENONE @ esk1_0))|((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)=(c_2Eoption_2ENONE @ esk1_0))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0) @ (ty_2Eoption_2Eoption @ esk1_0)))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0) @ (ty_2Eoption_2Eoption @ esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_71]), c_0_41])])). 258.47/37.67 thf(c_0_73, negated_conjecture, (((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)=(c_2Eoption_2ENONE @ esk1_0))|((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)=(c_2Eoption_2ENONE @ esk1_0))|~((mem @ (ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0) @ (ty_2Eoption_2Eoption @ esk1_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72, c_0_34]), c_0_43])])). 258.47/37.67 thf(c_0_74, negated_conjecture, (((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)=(c_2Eoption_2ENONE @ esk1_0))|((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk3_0)=(c_2Eoption_2ENONE @ esk1_0))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_34]), c_0_42])])). 258.47/37.67 thf(c_0_75, plain, ((ap @ (c_2Eoption_2ESOME @ esk1_0) @ esk4_0)=(c_2Eoption_2ENONE @ esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_74]), c_0_43])])). 258.47/37.67 thf(c_0_76, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_75]), c_0_42])]), ['proof']). 258.47/37.67 % SZS output end CNFRefutation 258.47/37.67 % Parsed axioms : 74 258.47/37.67 % Removed by relevancy pruning/SinE : 52 258.47/37.67 % Initial clauses : 122 258.47/37.67 % Removed in clause preprocessing : 69 258.47/37.67 % Initial clauses in saturation : 53 258.47/37.67 % Processed clauses : 1138 258.47/37.67 % ...of these trivial : 2 258.47/37.67 % ...subsumed : 414 258.47/37.67 % ...remaining for further processing : 722 258.47/37.67 % Other redundant clauses eliminated : 68 258.47/37.67 % Clauses deleted for lack of memory : 0 258.47/37.67 % Backward-subsumed : 389 258.47/37.67 % Backward-rewritten : 101 258.47/37.67 % Generated clauses : 7835 258.47/37.67 % ...of the previous two non-redundant : 7586 258.47/37.67 % ...aggressively subsumed : 0 258.47/37.67 % Contextual simplify-reflections : 174 258.47/37.67 % Paramodulations : 7762 258.47/37.67 % Factorizations : 0 258.47/37.67 % NegExts : 0 258.47/37.67 % Equation resolutions : 75 258.47/37.67 % Disequality decompositions : 0 258.47/37.67 % Total rewrite steps : 1218 258.47/37.67 % ...of those cached : 1195 258.47/37.67 % Propositional unsat checks : 0 258.47/37.67 % Propositional check models : 0 258.47/37.67 % Propositional check unsatisfiable : 0 258.47/37.67 % Propositional clauses : 0 258.47/37.67 % Propositional clauses after purity: 0 258.47/37.67 % Propositional unsat core size : 0 258.47/37.67 % Propositional preprocessing time : 0.000 258.47/37.67 % Propositional encoding time : 0.000 258.47/37.67 % Propositional solver time : 0.000 258.47/37.67 % Success case prop preproc time : 0.000 258.47/37.67 % Success case prop encoding time : 0.000 258.47/37.67 % Success case prop solver time : 0.000 258.47/37.67 % Current number of processed clauses : 177 258.47/37.67 % Positive orientable unit clauses : 15 258.47/37.67 % Positive unorientable unit clauses: 0 258.47/37.67 % Negative unit clauses : 1 258.47/37.67 % Non-unit-clauses : 161 258.47/37.67 % Current number of unprocessed clauses: 4924 258.47/37.67 % ...number of literals in the above : 60382 258.47/37.67 % Current number of archived formulas : 0 258.47/37.67 % Current number of archived clauses : 541 258.47/37.67 % Clause-clause subsumption calls (NU) : 203668 258.47/37.67 % Rec. Clause-clause subsumption calls : 11728 258.47/37.67 % Non-unit clause-clause subsumptions : 942 258.47/37.67 % Unit Clause-clause subsumption calls : 340 258.47/37.67 % Rewrite failures with RHS unbound : 0 258.47/37.67 % BW rewrite match attempts : 9 258.47/37.67 % BW rewrite match successes : 8 258.47/37.67 % Condensation attempts : 0 258.47/37.67 % Condensation successes : 0 258.47/37.67 % Termbank termtop insertions : 492014 258.47/37.67 % Search garbage collected termcells : 2623 258.47/37.67 258.47/37.67 % ------------------------------------------------- 258.47/37.67 % User time : 36.183 s 258.47/37.67 % System time : 0.752 s 258.47/37.67 % Total time : 36.935 s 258.47/37.67 % Maximum resident set size: 4276 pages 258.47/37.67 258.47/37.67 % ------------------------------------------------- 258.47/37.67 % User time : 36.187 s 258.47/37.67 % System time : 0.756 s 258.47/37.67 % Total time : 36.943 s 258.47/37.67 % Maximum resident set size: 4864 pages 258.47/37.67 % E exiting 258.47/37.67 EOF