0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.11/0.37 % Computer : n021.cluster.edu 0.11/0.37 % Model : x86_64 x86_64 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.11/0.37 % Memory : 8046.5625MB 0.11/0.37 % OS : Linux 6.8.0-71-generic 0.11/0.37 % CPULimit : 1440 0.11/0.37 % WCLimit : 180 0.11/0.37 % DateTime : Mon Jul 27 13:37:23 UTC 2026 0.11/0.37 % CPUTime : 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM 0.11/0.42 Running higher-order theorem proving 0.11/0.44 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox2/tmp/tmp.tprPzdsNd0/E---3.1_824932.p 3.62/1.02 % Version: 3.5.1-ho 3.62/1.02 % Preprocessing class: HSLSSLSMSSSNSFA. 3.62/1.02 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 3.62/1.02 % Starting additional_ho_4 with 900s (5) cores 3.62/1.02 % Starting pre_casc_8 with 180s (1) cores 3.62/1.02 % Starting pre_casc_5 with 180s (1) cores 3.62/1.02 % Starting pre_casc_6 with 180s (1) cores 3.62/1.02 % additional_ho_4 with pid 824973 completed with status 0 3.62/1.02 % Result found by additional_ho_4 3.62/1.02 % Preprocessing class: HSLSSLSMSSSNSFA. 3.62/1.02 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 3.62/1.02 % Starting additional_ho_4 with 900s (5) cores 3.62/1.02 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,4.0,,6,20000,1.0)) 3.62/1.02 % SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0) 3.62/1.02 % Search class: HGHSM-FFLM32-DSFFFFBN 3.62/1.02 % Scheduled 5 strats onto 5 cores with 900 seconds (900 total) 3.62/1.02 % Starting SubtermCWHack with 91s (1) cores 3.62/1.02 % Starting lpo8_s with 541s (1) cores 3.62/1.02 % Starting pre_casc_8 with 91s (1) cores 3.62/1.02 % Starting additional_ho_4 with 91s (1) cores 3.62/1.02 % Starting pre_casc_6 with 86s (1) cores 3.62/1.02 % additional_ho_4 with pid 824987 completed with status 0 3.62/1.02 % Result found by additional_ho_4 3.62/1.02 % Preprocessing class: HSLSSLSMSSSNSFA. 3.62/1.02 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 3.62/1.02 % Starting additional_ho_4 with 900s (5) cores 3.62/1.02 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,4.0,,6,20000,1.0)) 3.62/1.02 % SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0) 3.62/1.02 % Search class: HGHSM-FFLM32-DSFFFFBN 3.62/1.02 % Scheduled 5 strats onto 5 cores with 900 seconds (900 total) 3.62/1.02 % Starting SubtermCWHack with 91s (1) cores 3.62/1.02 % Starting lpo8_s with 541s (1) cores 3.62/1.02 % Starting pre_casc_8 with 91s (1) cores 3.62/1.02 % Starting additional_ho_4 with 91s (1) cores 3.62/1.02 % Preprocessing time : 0.004 s 3.62/1.02 % Presaturation interreduction done 3.62/1.02 3.62/1.02 % Proof found! 3.62/1.02 % SZS status Theorem 3.62/1.02 % SZS output start CNFRefutation 3.62/1.02 thf(decl_sort1, type, d: $tType). 3.62/1.02 thf(decl_sort2, type, u: $tType). 3.62/1.02 thf(decl_sort3, type, du: $tType). 3.62/1.02 thf(decl_23, type, tyop_2Emin_2Ebool: d). 3.62/1.02 thf(decl_24, type, tyop_2Emin_2Efun: d > d > d). 3.62/1.02 thf(decl_25, type, tyop_2Eoption_2Eoption: d > d). 3.62/1.02 thf(decl_26, type, s: d > u > du). 3.62/1.02 thf(decl_27, type, app_2E2: du > du > u). 3.62/1.02 thf(decl_43, type, c_2Eoption_2EIS__NONE_2E1: du > u). 3.62/1.02 thf(decl_45, type, c_2Eoption_2EIS__SOME_2E1: du > u). 3.62/1.02 thf(decl_46, type, c_2Eoption_2ENONE_2E0: u). 3.62/1.02 thf(decl_48, type, c_2Eoption_2EOPTION__JOIN_2E1: du > u). 3.62/1.02 thf(decl_50, type, c_2Eoption_2EOPTION__MAP_2E2: du > du > u). 3.62/1.02 thf(decl_52, type, c_2Eoption_2EOPTREL_2E3: du > du > du > u). 3.62/1.02 thf(decl_53, type, c_2Eoption_2ESOME_2E0: u). 3.62/1.02 thf(decl_54, type, c_2Eoption_2ESOME_2E1: du > u). 3.62/1.02 thf(decl_57, type, c_2Eoption_2ETHE_2E1: du > u). 3.62/1.02 thf(decl_61, type, c_2Eoption_2Eoption__CASE_2E3: du > du > du > u). 3.62/1.02 thf(decl_68, type, mono_2Ec_2Ebool_2EF: $o). 3.62/1.02 thf(decl_69, type, mono_2Ec_2Ebool_2ET: $o). 3.62/1.02 thf(decl_72, type, i_mono_2Etyop_2Emin_2Ebool: $o > u). 3.62/1.02 thf(decl_75, type, j_mono_2Etyop_2Emin_2Ebool: du > $o). 3.62/1.02 thf(decl_78, type, esk1_0: d). 3.62/1.02 thf(decl_79, type, esk2_0: u). 3.62/1.02 thf(decl_80, type, esk3_0: u). 3.62/1.02 thf(decl_81, type, esk4_0: u). 3.62/1.02 thf(decl_83, type, esk6_5: d > d > u > u > u > u). 3.62/1.02 thf(decl_84, type, esk7_5: d > d > u > u > u > u). 3.62/1.02 thf(thm_2Equotient__option_2EOPTION__REL__def, conjecture, ![X1:d, X55:u, X22:u, X56:u]:((((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X56) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0))))<=>(mono_2Ec_2Ebool_2ET))&((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X56) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X22))) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X55))))))<=>(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X56) @ (s @ X1 @ X22))) @ (s @ X1 @ X55))))))&((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X56) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X55))))))<=>(mono_2Ec_2Ebool_2EF)))&((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X56) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X22))) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0))))<=>(mono_2Ec_2Ebool_2EF)))), file('/export/starexec/sandbox2/tmp/tmp.tprPzdsNd0/E---3.1_824932.p', thm_2Equotient__option_2EOPTION__REL__def)). 3.62/1.02 thf(thm_2Eoption_2Eoption__CLAUSES, axiom, ![X1:d, X2:d, X4:u, X30:u, X31:u]:((((((((((((((((((((![X32:u]:(((s @ X1 @ (c_2Eoption_2ETHE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X32)))))=(s @ X1 @ X32)))&![X33:u]:((((s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ (c_2Eoption_2ETHE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X33)))))=(s @ (tyop_2Eoption_2Eoption @ X1) @ X33))<=(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X33)))))))&![X34:u]:(((s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X34) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Eoption_2Eoption @ X1)) @ c_2Eoption_2ESOME_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ X34))))&![X35:u]:(((s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X35) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X35) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Eoption_2Eoption @ X1)) @ c_2Eoption_2ESOME_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ X35))))&![X36:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X36))))=>((s @ X2 @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X36) @ (s @ X2 @ X31) @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X4)))=(s @ X2 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X4) @ (s @ X1 @ (c_2Eoption_2ETHE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X36)))))))))&![X37:u, X38:u]:(((s @ X2 @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0) @ (s @ X2 @ X37) @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X38)))=(s @ X2 @ X37))))&![X39:u, X40:u, X41:u]:(((s @ X2 @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X39))) @ (s @ X2 @ X40) @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X41)))=(s @ X2 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X41) @ (s @ X1 @ X39))))))&((s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2EOPTION__JOIN_2E1 @ (s @ (tyop_2Eoption_2Eoption @ (tyop_2Eoption_2Eoption @ X1)) @ c_2Eoption_2ENONE_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)))&![X42:u]:(((s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2EOPTION__JOIN_2E1 @ (s @ (tyop_2Eoption_2Eoption @ (tyop_2Eoption_2Eoption @ X1)) @ (c_2Eoption_2ESOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X42)))))=(s @ (tyop_2Eoption_2Eoption @ X1) @ X42))))&![X43:u]:(((s @ (tyop_2Eoption_2Eoption @ X2) @ (c_2Eoption_2EOPTION__MAP_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X43) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X2) @ c_2Eoption_2ENONE_2E0))))&![X44:u, X45:u]:(((s @ (tyop_2Eoption_2Eoption @ X2) @ (c_2Eoption_2EOPTION__MAP_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X44) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X45)))))=(s @ (tyop_2Eoption_2Eoption @ X2) @ (c_2Eoption_2ESOME_2E1 @ (s @ X2 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X44) @ (s @ X1 @ X45))))))))&![X46:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X46))))=>((s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X46) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X30) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Eoption_2Eoption @ X1)) @ c_2Eoption_2ESOME_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ X46)))))&![X47:u]:((((s @ X2 @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X47) @ (s @ X2 @ X31) @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X4)))=(s @ X2 @ X31))<=(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__NONE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X47)))))))&![X48:u]:((~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X48)))))<=>((s @ (tyop_2Eoption_2Eoption @ X1) @ X48)=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)))))&![X49:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__NONE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X49))))<=>((s @ (tyop_2Eoption_2Eoption @ X1) @ X49)=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)))))&((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0))))<=>(mono_2Ec_2Ebool_2EF)))&![X50:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X50))))))<=>(mono_2Ec_2Ebool_2ET))))&![X51:u]:(~(((s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X51)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)))))&![X52:u]:(~(((s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)=(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X52)))))))&![X53:u, X54:u]:((((s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X53)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X54))))<=>((s @ X1 @ X53)=(s @ X1 @ X54)))))), file('/export/starexec/sandbox2/tmp/tmp.tprPzdsNd0/E---3.1_824932.p', thm_2Eoption_2Eoption__CLAUSES)). 3.62/1.02 thf(thm_2Ebool_2EOR__CLAUSES, axiom, ![X7:$o]:(((((((mono_2Ec_2Ebool_2ET)<=>((mono_2Ec_2Ebool_2ET)|(X7)))&(((X7)|(X7))<=>(X7)))&((X7)<=>((X7)|(mono_2Ec_2Ebool_2EF))))&(((X7)|(mono_2Ec_2Ebool_2EF))<=>(X7)))&((mono_2Ec_2Ebool_2ET)<=>((X7)|(mono_2Ec_2Ebool_2ET))))), file('/export/starexec/sandbox2/tmp/tmp.tprPzdsNd0/E---3.1_824932.p', thm_2Ebool_2EOR__CLAUSES)). 3.62/1.02 thf(thm_2Eoption_2EOPTREL__def, axiom, ![X1:d, X2:d, X25:u, X22:u, X26:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X25) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X22) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ X26))))<=>(?[X27:u, X28:u]:(((((s @ (tyop_2Eoption_2Eoption @ X1) @ X22)=(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X27))))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X25) @ (s @ X1 @ X27))) @ (s @ X2 @ X28)))))&((s @ (tyop_2Eoption_2Eoption @ X2) @ X26)=(s @ (tyop_2Eoption_2Eoption @ X2) @ (c_2Eoption_2ESOME_2E1 @ (s @ X2 @ X28))))))|(((s @ (tyop_2Eoption_2Eoption @ X1) @ X22)=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0))&((s @ (tyop_2Eoption_2Eoption @ X2) @ X26)=(s @ (tyop_2Eoption_2Eoption @ X2) @ c_2Eoption_2ENONE_2E0)))))), file('/export/starexec/sandbox2/tmp/tmp.tprPzdsNd0/E---3.1_824932.p', thm_2Eoption_2EOPTREL__def)). 3.62/1.02 thf(arityeq1_2Ec_2Eoption_2ESOME_2E1_2Emono_2EA_27a, axiom, ![X1:d, X8:u]:(((s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X8)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Eoption_2Eoption @ X1)) @ c_2Eoption_2ESOME_2E0) @ (s @ X1 @ X8))))), file('/export/starexec/sandbox2/tmp/tmp.tprPzdsNd0/E---3.1_824932.p', arityeq1_2Ec_2Eoption_2ESOME_2E1_2Emono_2EA_27a)). 3.62/1.02 thf(ij_2Emono_2Etyop_2Emin_2Ebool, axiom, ![X16:u]:(((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X16)))))=(s @ tyop_2Emin_2Ebool @ X16))), file('/export/starexec/sandbox2/tmp/tmp.tprPzdsNd0/E---3.1_824932.p', ij_2Emono_2Etyop_2Emin_2Ebool)). 3.62/1.02 thf(ji_2Emono_2Etyop_2Emin_2Ebool, axiom, ![X9:$o]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ ((X9)))))<=>(X9))), file('/export/starexec/sandbox2/tmp/tmp.tprPzdsNd0/E---3.1_824932.p', ji_2Emono_2Etyop_2Emin_2Ebool)). 3.62/1.02 thf(c_0_7, negated_conjecture, ~(![X1:d, X55:u, X22:u, X56:u]:((((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X56) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0))))<=>(mono_2Ec_2Ebool_2ET))&((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X56) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X22))) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X55))))))<=>(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X56) @ (s @ X1 @ X22))) @ (s @ X1 @ X55))))))&((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X56) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X55))))))<=>(mono_2Ec_2Ebool_2EF)))&((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X56) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X22))) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0))))<=>(mono_2Ec_2Ebool_2EF))))), inference(assume_negation,[status(cth)],[thm_2Equotient__option_2EOPTION__REL__def])). 3.62/1.02 thf(c_0_8, plain, ![X1:d, X2:d, X4:u, X30:u, X31:u]:((((((((((((((((((((![X32:u]:(((s @ X1 @ (c_2Eoption_2ETHE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X32)))))=(s @ X1 @ X32)))&![X33:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X33))))=>((s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ (c_2Eoption_2ETHE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X33)))))=(s @ (tyop_2Eoption_2Eoption @ X1) @ X33)))))&![X34:u]:(((s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X34) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Eoption_2Eoption @ X1)) @ c_2Eoption_2ESOME_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ X34))))&![X35:u]:(((s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X35) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X35) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Eoption_2Eoption @ X1)) @ c_2Eoption_2ESOME_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ X35))))&![X36:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X36))))=>((s @ X2 @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X36) @ (s @ X2 @ X31) @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X4)))=(s @ X2 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X4) @ (s @ X1 @ (c_2Eoption_2ETHE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X36)))))))))&![X37:u, X38:u]:(((s @ X2 @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0) @ (s @ X2 @ X37) @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X38)))=(s @ X2 @ X37))))&![X39:u, X40:u, X41:u]:(((s @ X2 @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X39))) @ (s @ X2 @ X40) @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X41)))=(s @ X2 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X41) @ (s @ X1 @ X39))))))&((s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2EOPTION__JOIN_2E1 @ (s @ (tyop_2Eoption_2Eoption @ (tyop_2Eoption_2Eoption @ X1)) @ c_2Eoption_2ENONE_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)))&![X42:u]:(((s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2EOPTION__JOIN_2E1 @ (s @ (tyop_2Eoption_2Eoption @ (tyop_2Eoption_2Eoption @ X1)) @ (c_2Eoption_2ESOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X42)))))=(s @ (tyop_2Eoption_2Eoption @ X1) @ X42))))&![X43:u]:(((s @ (tyop_2Eoption_2Eoption @ X2) @ (c_2Eoption_2EOPTION__MAP_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X43) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X2) @ c_2Eoption_2ENONE_2E0))))&![X44:u, X45:u]:(((s @ (tyop_2Eoption_2Eoption @ X2) @ (c_2Eoption_2EOPTION__MAP_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X44) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X45)))))=(s @ (tyop_2Eoption_2Eoption @ X2) @ (c_2Eoption_2ESOME_2E1 @ (s @ X2 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X44) @ (s @ X1 @ X45))))))))&![X46:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X46))))=>((s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X46) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X30) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Eoption_2Eoption @ X1)) @ c_2Eoption_2ESOME_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ X46)))))&![X47:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__NONE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X47))))=>((s @ X2 @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X47) @ (s @ X2 @ X31) @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X4)))=(s @ X2 @ X31)))))&![X48:u]:((~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X48))))<=>((s @ (tyop_2Eoption_2Eoption @ X1) @ X48)=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)))))&![X49:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__NONE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X49))))<=>((s @ (tyop_2Eoption_2Eoption @ X1) @ X49)=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)))))&((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0))))<=>(mono_2Ec_2Ebool_2EF)))&![X50:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X50))))))<=>(mono_2Ec_2Ebool_2ET))))&![X51:u]:(((s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X51)))!=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0))))&![X52:u]:(((s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)!=(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X52))))))&![X53:u, X54:u]:((((s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X53)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X54))))<=>((s @ X1 @ X53)=(s @ X1 @ X54)))))), inference(fof_simplification,[status(thm)],[thm_2Eoption_2Eoption__CLAUSES])). 3.62/1.02 thf(c_0_9, negated_conjecture, (((((~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|~(mono_2Ec_2Ebool_2EF)|(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|~(mono_2Ec_2Ebool_2EF)|(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0))))|(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|~(mono_2Ec_2Ebool_2ET)))))&((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|(mono_2Ec_2Ebool_2EF)|(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|~(mono_2Ec_2Ebool_2EF)|(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0))))|(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|~(mono_2Ec_2Ebool_2ET))))))&((~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|~(mono_2Ec_2Ebool_2EF)|((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|(mono_2Ec_2Ebool_2EF)|(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0))))|(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|~(mono_2Ec_2Ebool_2ET)))))&((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|(mono_2Ec_2Ebool_2EF)|((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|(mono_2Ec_2Ebool_2EF)|(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0))))|(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|~(mono_2Ec_2Ebool_2ET)))))))&(((~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|~(mono_2Ec_2Ebool_2EF)|(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|~(mono_2Ec_2Ebool_2EF)|((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ 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(tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|~(mono_2Ec_2Ebool_2EF)|((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0))))|(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|~(mono_2Ec_2Ebool_2ET))))))&((~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|~(mono_2Ec_2Ebool_2EF)|((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|(mono_2Ec_2Ebool_2EF)|((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ 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@ esk1_0 @ esk2_0))))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0))))|(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|~(mono_2Ec_2Ebool_2ET))))))))&((((~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|~(mono_2Ec_2Ebool_2EF)|(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|~(mono_2Ec_2Ebool_2EF)|(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0))))|((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|(mono_2Ec_2Ebool_2ET)))))&((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|(mono_2Ec_2Ebool_2EF)|(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|~(mono_2Ec_2Ebool_2EF)|(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0))))|((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|(mono_2Ec_2Ebool_2ET))))))&((~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|~(mono_2Ec_2Ebool_2EF)|((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|(mono_2Ec_2Ebool_2EF)|(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0))))|((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|(mono_2Ec_2Ebool_2ET)))))&((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|(mono_2Ec_2Ebool_2EF)|((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|(mono_2Ec_2Ebool_2EF)|(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ 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(tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|~(mono_2Ec_2Ebool_2EF)|((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0))))|((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|(mono_2Ec_2Ebool_2ET)))))&((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|(mono_2Ec_2Ebool_2EF)|(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|~(mono_2Ec_2Ebool_2EF)|((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ 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(s @ esk1_0 @ esk2_0))))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0))))|((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|(mono_2Ec_2Ebool_2ET)))))&((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|(mono_2Ec_2Ebool_2EF)|((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|(mono_2Ec_2Ebool_2EF)|((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0))))|((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|(mono_2Ec_2Ebool_2ET))))))))), 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_7])])])])])). 3.62/1.02 thf(c_0_10, plain, ![X7:$o]:((((((mono_2Ec_2Ebool_2ET)<=>((mono_2Ec_2Ebool_2ET)|(X7)))&((X7)<=>((X7)|(mono_2Ec_2Ebool_2EF))))&(((X7)|(mono_2Ec_2Ebool_2EF))<=>(X7)))&((mono_2Ec_2Ebool_2ET)<=>((X7)|(mono_2Ec_2Ebool_2ET))))), inference(fof_simplification,[status(thm)],[thm_2Ebool_2EOR__CLAUSES])). 3.62/1.02 thf(c_0_11, plain, ![X201:d, X202:d, X203:u, X204:u, X205:u, X208:d, X209:d, X210:u, X211:u, X212:u, X213:u, X214:u]:((((((((s @ (tyop_2Eoption_2Eoption @ X201) @ X204)=(s @ (tyop_2Eoption_2Eoption @ X201) @ c_2Eoption_2ENONE_2E0))|((s @ (tyop_2Eoption_2Eoption @ X201) @ X204)=(s @ (tyop_2Eoption_2Eoption @ X201) @ (c_2Eoption_2ESOME_2E1 @ (s @ X201 @ (esk6_5 @ X201 @ X202 @ X203 @ X204 @ X205)))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X201 @ (tyop_2Emin_2Efun @ X202 @ tyop_2Emin_2Ebool)) @ X203) @ (s @ (tyop_2Eoption_2Eoption @ X201) @ X204) @ (s @ (tyop_2Eoption_2Eoption @ X202) @ X205)))))&(((s @ (tyop_2Eoption_2Eoption @ X202) @ X205)=(s @ (tyop_2Eoption_2Eoption @ X202) @ c_2Eoption_2ENONE_2E0))|((s @ (tyop_2Eoption_2Eoption @ X201) @ X204)=(s @ (tyop_2Eoption_2Eoption @ X201) @ (c_2Eoption_2ESOME_2E1 @ (s @ X201 @ (esk6_5 @ X201 @ X202 @ X203 @ X204 @ X205)))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X201 @ (tyop_2Emin_2Efun @ X202 @ tyop_2Emin_2Ebool)) @ X203) @ (s @ (tyop_2Eoption_2Eoption @ X201) @ X204) @ (s @ (tyop_2Eoption_2Eoption @ X202) @ X205))))))&((((s @ (tyop_2Eoption_2Eoption @ X201) @ X204)=(s @ (tyop_2Eoption_2Eoption @ X201) @ c_2Eoption_2ENONE_2E0))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X202 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X201 @ (tyop_2Emin_2Efun @ X202 @ tyop_2Emin_2Ebool)) @ X203) @ (s @ X201 @ (esk6_5 @ X201 @ X202 @ X203 @ X204 @ X205)))) @ (s @ X202 @ (esk7_5 @ X201 @ X202 @ X203 @ X204 @ X205)))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X201 @ (tyop_2Emin_2Efun @ X202 @ tyop_2Emin_2Ebool)) @ X203) @ (s @ (tyop_2Eoption_2Eoption @ X201) @ X204) @ (s @ (tyop_2Eoption_2Eoption @ X202) @ X205)))))&(((s @ (tyop_2Eoption_2Eoption @ X202) @ X205)=(s @ (tyop_2Eoption_2Eoption @ X202) @ c_2Eoption_2ENONE_2E0))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X202 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X201 @ (tyop_2Emin_2Efun @ X202 @ tyop_2Emin_2Ebool)) @ X203) @ (s @ X201 @ (esk6_5 @ X201 @ X202 @ X203 @ X204 @ X205)))) @ (s @ X202 @ (esk7_5 @ X201 @ X202 @ X203 @ X204 @ X205)))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X201 @ (tyop_2Emin_2Efun @ X202 @ tyop_2Emin_2Ebool)) @ X203) @ (s @ (tyop_2Eoption_2Eoption @ X201) @ X204) @ (s @ (tyop_2Eoption_2Eoption @ X202) @ X205)))))))&((((s @ (tyop_2Eoption_2Eoption @ X201) @ X204)=(s @ (tyop_2Eoption_2Eoption @ X201) @ c_2Eoption_2ENONE_2E0))|((s @ (tyop_2Eoption_2Eoption @ X202) @ X205)=(s @ (tyop_2Eoption_2Eoption @ X202) @ (c_2Eoption_2ESOME_2E1 @ (s @ X202 @ (esk7_5 @ X201 @ X202 @ X203 @ X204 @ X205)))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X201 @ (tyop_2Emin_2Efun @ X202 @ tyop_2Emin_2Ebool)) @ X203) @ (s @ (tyop_2Eoption_2Eoption @ X201) @ X204) @ (s @ (tyop_2Eoption_2Eoption @ X202) @ X205)))))&(((s @ (tyop_2Eoption_2Eoption @ X202) @ X205)=(s @ (tyop_2Eoption_2Eoption @ X202) @ c_2Eoption_2ENONE_2E0))|((s @ (tyop_2Eoption_2Eoption @ X202) @ X205)=(s @ (tyop_2Eoption_2Eoption @ X202) @ (c_2Eoption_2ESOME_2E1 @ (s @ X202 @ (esk7_5 @ X201 @ X202 @ X203 @ X204 @ X205)))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X201 @ (tyop_2Emin_2Efun @ X202 @ tyop_2Emin_2Ebool)) @ X203) @ (s @ (tyop_2Eoption_2Eoption @ X201) @ X204) @ (s @ (tyop_2Eoption_2Eoption @ X202) @ X205)))))))&((((s @ (tyop_2Eoption_2Eoption @ X208) @ X211)!=(s @ (tyop_2Eoption_2Eoption @ X208) @ (c_2Eoption_2ESOME_2E1 @ (s @ X208 @ X213))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X209 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X208 @ (tyop_2Emin_2Efun @ X209 @ tyop_2Emin_2Ebool)) @ X210) @ (s @ X208 @ X213))) @ (s @ X209 @ X214))))|((s @ (tyop_2Eoption_2Eoption @ X209) @ X212)!=(s @ (tyop_2Eoption_2Eoption @ X209) @ (c_2Eoption_2ESOME_2E1 @ (s @ X209 @ X214))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X208 @ (tyop_2Emin_2Efun @ X209 @ tyop_2Emin_2Ebool)) @ X210) @ (s @ (tyop_2Eoption_2Eoption @ X208) @ X211) @ (s @ (tyop_2Eoption_2Eoption @ X209) @ X212)))))&(((s @ (tyop_2Eoption_2Eoption @ X208) @ X211)!=(s @ (tyop_2Eoption_2Eoption @ X208) @ c_2Eoption_2ENONE_2E0))|((s @ (tyop_2Eoption_2Eoption @ X209) @ X212)!=(s @ (tyop_2Eoption_2Eoption @ X209) @ c_2Eoption_2ENONE_2E0))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X208 @ (tyop_2Emin_2Efun @ X209 @ tyop_2Emin_2Ebool)) @ X210) @ (s @ (tyop_2Eoption_2Eoption @ X208) @ X211) @ (s @ (tyop_2Eoption_2Eoption @ X209) @ X212)))))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Eoption_2EOPTREL__def])])])])])])])). 3.62/1.02 thf(c_0_12, plain, ![X160:d, X161:d, X162:u, X163:u, X164:u, X165:u, X166:u, X167:u, X168:u, X169:u, X170:u, X171:u, X172:u, X173:u, X174:u, X175:u, X176:u, X177:u, X178:u, X179:u, X180:u, X181:u, X182:u, X183:u, X184:u, X185:u, X186:u, X187:u]:((((((((((((((((((((((s @ X160 @ (c_2Eoption_2ETHE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X160) @ (c_2Eoption_2ESOME_2E1 @ (s @ X160 @ X165)))))=(s @ X160 @ X165))&(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X160) @ X166))))|((s @ (tyop_2Eoption_2Eoption @ X160) @ (c_2Eoption_2ESOME_2E1 @ (s @ X160 @ (c_2Eoption_2ETHE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X160) @ X166)))))=(s @ (tyop_2Eoption_2Eoption @ X160) @ X166))))&((s @ (tyop_2Eoption_2Eoption @ X160) @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X160) @ X167) @ (s @ (tyop_2Eoption_2Eoption @ X160) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Emin_2Efun @ X160 @ (tyop_2Eoption_2Eoption @ X160)) @ c_2Eoption_2ESOME_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X160) @ X167)))&((s @ (tyop_2Eoption_2Eoption @ X160) @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X160) @ X168) @ (s @ (tyop_2Eoption_2Eoption @ X160) @ X168) @ (s @ (tyop_2Emin_2Efun @ X160 @ (tyop_2Eoption_2Eoption @ X160)) @ c_2Eoption_2ESOME_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X160) @ X168)))&(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X160) @ X169))))|((s @ X161 @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X160) @ X169) @ (s @ X161 @ X164) @ (s @ (tyop_2Emin_2Efun @ X160 @ X161) @ X162)))=(s @ X161 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X160 @ X161) @ X162) @ (s @ X160 @ (c_2Eoption_2ETHE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X160) @ X169))))))))&((s @ X161 @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X160) @ c_2Eoption_2ENONE_2E0) @ (s @ X161 @ X170) @ (s @ (tyop_2Emin_2Efun @ X160 @ X161) @ X171)))=(s @ X161 @ X170)))&((s @ X161 @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X160) @ (c_2Eoption_2ESOME_2E1 @ (s @ X160 @ X172))) @ (s @ X161 @ X173) @ (s @ (tyop_2Emin_2Efun @ X160 @ X161) @ X174)))=(s @ X161 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X160 @ X161) @ X174) @ (s @ X160 @ X172)))))&((s @ (tyop_2Eoption_2Eoption @ X160) @ (c_2Eoption_2EOPTION__JOIN_2E1 @ (s @ (tyop_2Eoption_2Eoption @ (tyop_2Eoption_2Eoption @ X160)) @ c_2Eoption_2ENONE_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X160) @ c_2Eoption_2ENONE_2E0)))&((s @ (tyop_2Eoption_2Eoption @ X160) @ (c_2Eoption_2EOPTION__JOIN_2E1 @ (s @ (tyop_2Eoption_2Eoption @ (tyop_2Eoption_2Eoption @ X160)) @ (c_2Eoption_2ESOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X160) @ X175)))))=(s @ (tyop_2Eoption_2Eoption @ X160) @ X175)))&((s @ (tyop_2Eoption_2Eoption @ X161) @ (c_2Eoption_2EOPTION__MAP_2E2 @ (s @ (tyop_2Emin_2Efun @ X160 @ X161) @ X176) @ (s @ (tyop_2Eoption_2Eoption @ X160) @ c_2Eoption_2ENONE_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X161) @ c_2Eoption_2ENONE_2E0)))&((s @ (tyop_2Eoption_2Eoption @ X161) @ (c_2Eoption_2EOPTION__MAP_2E2 @ (s @ (tyop_2Emin_2Efun @ X160 @ X161) @ X177) @ (s @ (tyop_2Eoption_2Eoption @ X160) @ (c_2Eoption_2ESOME_2E1 @ (s @ X160 @ X178)))))=(s @ (tyop_2Eoption_2Eoption @ X161) @ (c_2Eoption_2ESOME_2E1 @ (s @ X161 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X160 @ X161) @ X177) @ (s @ X160 @ X178)))))))&(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X160) @ X179))))|((s @ (tyop_2Eoption_2Eoption @ X160) @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X160) @ X179) @ (s @ (tyop_2Eoption_2Eoption @ X160) @ X163) @ (s @ (tyop_2Emin_2Efun @ X160 @ (tyop_2Eoption_2Eoption @ X160)) @ c_2Eoption_2ESOME_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X160) @ X179))))&(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__NONE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X160) @ X180))))|((s @ X161 @ (c_2Eoption_2Eoption__CASE_2E3 @ (s @ (tyop_2Eoption_2Eoption @ X160) @ X180) @ (s @ X161 @ X164) @ (s @ (tyop_2Emin_2Efun @ X160 @ X161) @ X162)))=(s @ X161 @ X164))))&(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X160) @ X181))))|((s @ (tyop_2Eoption_2Eoption @ X160) @ X181)=(s @ (tyop_2Eoption_2Eoption @ X160) @ c_2Eoption_2ENONE_2E0)))&(((s @ (tyop_2Eoption_2Eoption @ X160) @ X181)!=(s @ (tyop_2Eoption_2Eoption @ X160) @ c_2Eoption_2ENONE_2E0))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X160) @ X181)))))))&((~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__NONE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X160) @ X182))))|((s @ (tyop_2Eoption_2Eoption @ X160) @ X182)=(s @ (tyop_2Eoption_2Eoption @ X160) @ c_2Eoption_2ENONE_2E0)))&(((s @ (tyop_2Eoption_2Eoption @ X160) @ X182)!=(s @ (tyop_2Eoption_2Eoption @ X160) @ c_2Eoption_2ENONE_2E0))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__NONE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X160) @ X182)))))))&((~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X160) @ c_2Eoption_2ENONE_2E0))))|(mono_2Ec_2Ebool_2EF))&(~(mono_2Ec_2Ebool_2EF)|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X160) @ c_2Eoption_2ENONE_2E0)))))))&((~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X160) @ (c_2Eoption_2ESOME_2E1 @ (s @ X160 @ X183))))))|(mono_2Ec_2Ebool_2ET))&(~(mono_2Ec_2Ebool_2ET)|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EIS__SOME_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X160) @ (c_2Eoption_2ESOME_2E1 @ (s @ X160 @ X183)))))))))&((s @ (tyop_2Eoption_2Eoption @ X160) @ (c_2Eoption_2ESOME_2E1 @ (s @ X160 @ X184)))!=(s @ (tyop_2Eoption_2Eoption @ X160) @ c_2Eoption_2ENONE_2E0)))&((s @ (tyop_2Eoption_2Eoption @ X160) @ c_2Eoption_2ENONE_2E0)!=(s @ (tyop_2Eoption_2Eoption @ X160) @ (c_2Eoption_2ESOME_2E1 @ (s @ X160 @ X185)))))&((((s @ (tyop_2Eoption_2Eoption @ X160) @ (c_2Eoption_2ESOME_2E1 @ (s @ X160 @ X186)))!=(s @ (tyop_2Eoption_2Eoption @ X160) @ (c_2Eoption_2ESOME_2E1 @ (s @ X160 @ X187))))|((s @ X160 @ X186)=(s @ X160 @ X187)))&(((s @ X160 @ X186)!=(s @ X160 @ X187))|((s @ (tyop_2Eoption_2Eoption @ X160) @ (c_2Eoption_2ESOME_2E1 @ (s @ X160 @ X186)))=(s @ (tyop_2Eoption_2Eoption @ X160) @ (c_2Eoption_2ESOME_2E1 @ (s @ X160 @ X187)))))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])). 3.62/1.02 thf(c_0_13, negated_conjecture, ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|(mono_2Ec_2Ebool_2EF)|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|(mono_2Ec_2Ebool_2EF)|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0)))))|~((mono_2Ec_2Ebool_2ET))), inference(split_conjunct,[status(thm)],[c_0_9])). 3.62/1.02 thf(c_0_14, plain, ![X158:$o]:((((((~(mono_2Ec_2Ebool_2ET)|((mono_2Ec_2Ebool_2ET)|(X158)))&((~(mono_2Ec_2Ebool_2ET)|(mono_2Ec_2Ebool_2ET))&(~(X158)|(mono_2Ec_2Ebool_2ET))))&((~(X158)|((X158)|(mono_2Ec_2Ebool_2EF)))&((~(X158)|(X158))&(~(mono_2Ec_2Ebool_2EF)|(X158)))))&(((~(X158)|(X158))&(~(mono_2Ec_2Ebool_2EF)|(X158)))&(~(X158)|((X158)|(mono_2Ec_2Ebool_2EF)))))&((~(mono_2Ec_2Ebool_2ET)|((X158)|(mono_2Ec_2Ebool_2ET)))&((~(X158)|(mono_2Ec_2Ebool_2ET))&(~(mono_2Ec_2Ebool_2ET)|(mono_2Ec_2Ebool_2ET)))))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])). 3.62/1.02 thf(c_0_15, plain, ![X1:d, X6:u, X5:u, X4:u, X2:d]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X4) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ X5))))|((s @ (tyop_2Eoption_2Eoption @ X1) @ X4)!=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0))|((s @ (tyop_2Eoption_2Eoption @ X2) @ X5)!=(s @ (tyop_2Eoption_2Eoption @ X2) @ c_2Eoption_2ENONE_2E0)))), inference(split_conjunct,[status(thm)],[c_0_11])). 3.62/1.02 thf(c_0_16, plain, ![X1:d, X2:d, X6:u, X5:u, X4:u]:((((s @ (tyop_2Eoption_2Eoption @ X1) @ X4)=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0))|((s @ (tyop_2Eoption_2Eoption @ X2) @ X5)=(s @ (tyop_2Eoption_2Eoption @ X2) @ (c_2Eoption_2ESOME_2E1 @ (s @ X2 @ (esk6_5 @ X2 @ X1 @ X6 @ X5 @ X4)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ X5) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X4))))))), inference(split_conjunct,[status(thm)],[c_0_11])). 3.62/1.02 thf(c_0_17, plain, ![X4:u, X2:d, X1:d]:(((s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2EOPTION__MAP_2E2 @ (s @ (tyop_2Emin_2Efun @ X2 @ X1) @ X4) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ c_2Eoption_2ENONE_2E0)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0))), inference(split_conjunct,[status(thm)],[c_0_12])). 3.62/1.02 thf(c_0_18, plain, ![X1:d, X4:u]:(((s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)!=(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_12])). 3.62/1.02 thf(c_0_19, plain, ![X220:d, X221:u]:(((s @ (tyop_2Eoption_2Eoption @ X220) @ (c_2Eoption_2ESOME_2E1 @ (s @ X220 @ X221)))=(s @ (tyop_2Eoption_2Eoption @ X220) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X220 @ (tyop_2Eoption_2Eoption @ X220)) @ c_2Eoption_2ESOME_2E0) @ (s @ X220 @ X221))))), inference(variable_rename,[status(thm)],[arityeq1_2Ec_2Eoption_2ESOME_2E1_2Emono_2EA_27a])). 3.62/1.02 thf(c_0_20, plain, ![X1:d, X2:d, X4:u, X6:u, X5:u]:((((s @ (tyop_2Eoption_2Eoption @ X1) @ X4)=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0))|((s @ (tyop_2Eoption_2Eoption @ X2) @ X5)=(s @ (tyop_2Eoption_2Eoption @ X2) @ (c_2Eoption_2ESOME_2E1 @ (s @ X2 @ (esk7_5 @ X1 @ X2 @ X6 @ X4 @ X5)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X4) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ X5))))))), inference(split_conjunct,[status(thm)],[c_0_11])). 3.62/1.02 thf(c_0_21, negated_conjecture, ((mono_2Ec_2Ebool_2EF)|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|~((mono_2Ec_2Ebool_2ET))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0)))))), inference(cn,[status(thm)],[c_0_13])). 3.62/1.02 thf(c_0_22, plain, (mono_2Ec_2Ebool_2ET), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_14])])])). 3.62/1.02 thf(c_0_23, plain, ~((mono_2Ec_2Ebool_2EF)), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_14])])])). 3.62/1.02 thf(c_0_24, plain, ![X4:u, X5:u, X2:d, X1:d]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X4) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X5) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ c_2Eoption_2ENONE_2E0))))|((s @ (tyop_2Eoption_2Eoption @ X1) @ X5)!=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0)))), inference(er,[status(thm)],[c_0_15])). 3.62/1.02 thf(c_0_25, plain, ![X1:d, X2:d, X5:u, X4:u]:((((s @ (tyop_2Eoption_2Eoption @ X1) @ X4)=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X5) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X4))))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18])). 3.62/1.02 thf(c_0_26, plain, ![X1:d, X4:u]:(((s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X4)))=(s @ (tyop_2Eoption_2Eoption @ X1) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Eoption_2Eoption @ X1)) @ c_2Eoption_2ESOME_2E0) @ (s @ X1 @ X4))))), inference(split_conjunct,[status(thm)],[c_0_19])). 3.62/1.02 thf(c_0_27, plain, ![X1:d, X5:u, X4:u, X2:d]:((((s @ (tyop_2Eoption_2Eoption @ X1) @ X4)=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X5) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X4) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ c_2Eoption_2ENONE_2E0))))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_17]), c_0_18])). 3.62/1.02 thf(c_0_28, negated_conjecture, ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0)))))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22])]), c_0_23])). 3.62/1.02 thf(c_0_29, plain, ![X1:d, X4:u, X2:d]:((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X4) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ c_2Eoption_2ENONE_2E0))))), inference(er,[status(thm)],[c_0_24])). 3.62/1.02 thf(c_0_30, plain, ![X1:d, X2:d, X4:u, X5:u]:(~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X4) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ (c_2Eoption_2ESOME_2E1 @ (s @ X2 @ X5)))))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_18])). 3.62/1.02 thf(c_0_31, plain, ![X1:d, X5:u, X4:u, X2:d]:(~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X4) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X5))) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ c_2Eoption_2ENONE_2E0)))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_26]), c_0_18])). 3.62/1.02 thf(c_0_32, negated_conjecture, ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0))))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_29])]), c_0_30]), c_0_31])). 3.62/1.02 thf(c_0_33, plain, ![X2:d, X1:d, X6:u, X5:u, X4:u]:((((s @ (tyop_2Eoption_2Eoption @ X1) @ X4)=(s @ (tyop_2Eoption_2Eoption @ X1) @ c_2Eoption_2ENONE_2E0))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X5) @ (s @ X2 @ (esk6_5 @ X2 @ X1 @ X5 @ X6 @ X4)))) @ (s @ X1 @ (esk7_5 @ X2 @ X1 @ X5 @ X6 @ X4)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X2 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X5) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ X6) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X4))))))), inference(split_conjunct,[status(thm)],[c_0_11])). 3.62/1.02 thf(c_0_34, plain, ![X1:d, X4:u]:(((s @ X1 @ (c_2Eoption_2ETHE_2E1 @ (s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X4)))))=(s @ X1 @ X4))), inference(split_conjunct,[status(thm)],[c_0_12])). 3.62/1.02 thf(c_0_35, negated_conjecture, (((s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ (esk7_5 @ esk1_0 @ esk1_0 @ esk4_0 @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0)) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))=(s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20, c_0_32]), c_0_18])). 3.62/1.02 thf(c_0_36, axiom, ![X16:u]:(((~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X16))|((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))=(s @ tyop_2Emin_2Ebool @ X16)))&((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X16))|((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))=(s @ tyop_2Emin_2Ebool @ X16))))), inference(fool_unroll,[status(thm)],[ij_2Emono_2Etyop_2Emin_2Ebool])). 3.62/1.02 thf(c_0_37, negated_conjecture, ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ (esk6_5 @ esk1_0 @ esk1_0 @ esk4_0 @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0)) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0)))))) @ (s @ esk1_0 @ (esk7_5 @ esk1_0 @ esk1_0 @ esk4_0 @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0)) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0)))))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33, c_0_32]), c_0_18])). 3.62/1.02 thf(c_0_38, negated_conjecture, (((s @ esk1_0 @ (esk7_5 @ esk1_0 @ esk1_0 @ esk4_0 @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0)) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))=(s @ esk1_0 @ esk2_0))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_34])). 3.62/1.02 thf(c_0_39, negated_conjecture, (((s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ (esk6_5 @ esk1_0 @ esk1_0 @ esk4_0 @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0)) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))=(s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0))))), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_32]), c_0_18])). 3.62/1.02 thf(c_0_40, negated_conjecture, ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|(mono_2Ec_2Ebool_2EF)|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|(mono_2Ec_2Ebool_2EF)|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0)))))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0)))))|~((mono_2Ec_2Ebool_2ET))), inference(split_conjunct,[status(thm)],[c_0_9])). 3.62/1.02 thf(c_0_41, plain, ![X191:u]:(((~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X191))|((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))=(s @ tyop_2Emin_2Ebool @ X191)))&((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X191))|((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))=(s @ tyop_2Emin_2Ebool @ X191))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_36])])). 3.62/1.02 thf(c_0_42, negated_conjecture, ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ (esk6_5 @ esk1_0 @ esk1_0 @ esk4_0 @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0)) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0)))))) @ (s @ esk1_0 @ esk2_0))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0))))), inference(spm,[status(thm)],[c_0_37, c_0_38])). 3.62/1.02 thf(c_0_43, negated_conjecture, (((s @ esk1_0 @ (esk6_5 @ esk1_0 @ esk1_0 @ esk4_0 @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0)) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))=(s @ esk1_0 @ esk3_0))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0))))), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_39]), c_0_34])). 3.62/1.02 thf(c_0_44, negated_conjecture, ((mono_2Ec_2Ebool_2EF)|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|~((mono_2Ec_2Ebool_2ET))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0)))))))), inference(cn,[status(thm)],[c_0_40])). 3.62/1.02 thf(c_0_45, plain, ![X4:u]:((((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (($true))))=(s @ tyop_2Emin_2Ebool @ X4))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X4))))), inference(split_conjunct,[status(thm)],[c_0_41])). 3.62/1.02 thf(c_0_46, negated_conjecture, (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0)))), inference(spm,[status(thm)],[c_0_42, c_0_43])). 3.62/1.02 thf(c_0_47, plain, ![X190:$o]:(((~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ ((X190)))))|(X190))&(~(X190)|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ ((X190)))))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ji_2Emono_2Etyop_2Emin_2Ebool])])])). 3.62/1.02 thf(c_0_48, negated_conjecture, ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0)))))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ c_2Eoption_2ENONE_2E0)))))), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44, c_0_22])]), c_0_23])). 3.62/1.02 thf(c_0_49, plain, ![X1:d, X2:d, X5:u, X6:u, X4:u, X12:u, X8:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ (tyop_2Eoption_2Eoption @ X1) @ X4) @ (s @ (tyop_2Eoption_2Eoption @ X2) @ X12))))|((s @ (tyop_2Eoption_2Eoption @ X1) @ X4)!=(s @ (tyop_2Eoption_2Eoption @ X1) @ (c_2Eoption_2ESOME_2E1 @ (s @ X1 @ X5))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool)) @ X6) @ (s @ X1 @ X5))) @ (s @ X2 @ X8)))))|((s @ (tyop_2Eoption_2Eoption @ X2) @ X12)!=(s @ (tyop_2Eoption_2Eoption @ X2) @ (c_2Eoption_2ESOME_2E1 @ (s @ X2 @ X8)))))), inference(split_conjunct,[status(thm)],[c_0_11])). 3.62/1.02 thf(c_0_50, negated_conjecture, ((s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0)))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (($true))))), inference(spm,[status(thm)],[c_0_45, c_0_46])). 3.62/1.02 thf(c_0_51, plain, (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (($true))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_47])])])). 3.62/1.02 thf(c_0_52, negated_conjecture, (~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0)))))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ esk1_0 @ esk3_0))) @ (s @ esk1_0 @ esk2_0)))))), inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48, c_0_29])]), c_0_30]), c_0_31])). 3.62/1.02 thf(c_0_53, negated_conjecture, ![X5:u, X4:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ X4) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ X5))))|((s @ (tyop_2Eoption_2Eoption @ esk1_0) @ X5)!=(s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))|((s @ (tyop_2Eoption_2Eoption @ esk1_0) @ X4)!=(s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49, c_0_50]), c_0_51])])). 3.62/1.02 thf(c_0_54, negated_conjecture, ~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52, c_0_46])])). 3.62/1.02 thf(c_0_55, plain, ![X4:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X4))|((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (~($true))))=(s @ tyop_2Emin_2Ebool @ X4)))), inference(split_conjunct,[status(thm)],[c_0_41])). 3.62/1.02 thf(c_0_56, negated_conjecture, ![X4:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ X4) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0))))))|((s @ (tyop_2Eoption_2Eoption @ esk1_0) @ X4)!=(s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0)))))), inference(er,[status(thm)],[c_0_53])). 3.62/1.02 thf(c_0_57, negated_conjecture, ((s @ tyop_2Emin_2Ebool @ (c_2Eoption_2EOPTREL_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk4_0) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk3_0))) @ (s @ (tyop_2Eoption_2Eoption @ esk1_0) @ (c_2Eoption_2ESOME_2E1 @ (s @ esk1_0 @ esk2_0)))))=(s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (~($true))))), inference(spm,[status(thm)],[c_0_54, c_0_55])). 3.62/1.02 thf(c_0_58, plain, ~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (~($true)))))), inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_47])])])). 3.62/1.02 thf(c_0_59, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_56]), c_0_57]), c_0_58]), ['proof']). 3.62/1.02 % SZS output end CNFRefutation 3.62/1.02 % Parsed axioms : 106 3.62/1.02 % Removed by relevancy pruning/SinE : 75 3.62/1.02 % Initial clauses : 125 3.62/1.02 % Removed in clause preprocessing : 34 3.62/1.02 % Initial clauses in saturation : 91 3.62/1.02 % Processed clauses : 2829 3.62/1.02 % ...of these trivial : 36 3.62/1.02 % ...subsumed : 2392 3.62/1.02 % ...remaining for further processing : 401 3.62/1.02 % Other redundant clauses eliminated : 0 3.62/1.02 % Clauses deleted for lack of memory : 0 3.62/1.02 % Backward-subsumed : 18 3.62/1.02 % Backward-rewritten : 42 3.62/1.02 % Generated clauses : 14956 3.62/1.02 % ...of the previous two non-redundant : 11010 3.62/1.02 % ...aggressively subsumed : 0 3.62/1.02 % Contextual simplify-reflections : 2 3.62/1.02 % Paramodulations : 14646 3.62/1.02 % Factorizations : 57 3.62/1.02 % NegExts : 43 3.62/1.02 % Equation resolutions : 43 3.62/1.02 % Disequality decompositions : 0 3.62/1.02 % Total rewrite steps : 4941 3.62/1.02 % ...of those cached : 3715 3.62/1.02 % Propositional unsat checks : 0 3.62/1.02 % Propositional check models : 0 3.62/1.02 % Propositional check unsatisfiable : 0 3.62/1.02 % Propositional clauses : 0 3.62/1.02 % Propositional clauses after purity: 0 3.62/1.02 % Propositional unsat core size : 0 3.62/1.02 % Propositional preprocessing time : 0.000 3.62/1.02 % Propositional encoding time : 0.000 3.62/1.02 % Propositional solver time : 0.000 3.62/1.02 % Success case prop preproc time : 0.000 3.62/1.02 % Success case prop encoding time : 0.000 3.62/1.02 % Success case prop solver time : 0.000 3.62/1.02 % Current number of processed clauses : 251 3.62/1.02 % Positive orientable unit clauses : 41 3.62/1.02 % Positive unorientable unit clauses: 3 3.62/1.02 % Negative unit clauses : 11 3.62/1.02 % Non-unit-clauses : 196 3.62/1.02 % Current number of unprocessed clauses: 8107 3.62/1.02 % ...number of literals in the above : 32862 3.62/1.02 % Current number of archived formulas : 0 3.62/1.02 % Current number of archived clauses : 150 3.62/1.02 % Clause-clause subsumption calls (NU) : 17881 3.62/1.02 % Rec. Clause-clause subsumption calls : 7259 3.62/1.02 % Non-unit clause-clause subsumptions : 1495 3.62/1.02 % Unit Clause-clause subsumption calls : 133 3.62/1.02 % Rewrite failures with RHS unbound : 0 3.62/1.02 % BW rewrite match attempts : 291 3.62/1.02 % BW rewrite match successes : 21 3.62/1.02 % Condensation attempts : 0 3.62/1.02 % Condensation successes : 0 3.62/1.02 % Termbank termtop insertions : 429974 3.62/1.02 % Search garbage collected termcells : 1979 3.62/1.02 3.62/1.02 % ------------------------------------------------- 3.62/1.02 % User time : 0.527 s 3.62/1.02 % System time : 0.026 s 3.62/1.02 % Total time : 0.553 s 3.62/1.02 % Maximum resident set size: 4008 pages 3.62/1.02 3.62/1.02 % ------------------------------------------------- 3.62/1.02 % User time : 2.649 s 3.62/1.02 % System time : 0.100 s 3.62/1.02 % Total time : 2.749 s 3.62/1.02 % Maximum resident set size: 5120 pages 3.62/1.02 % E exiting 3.62/1.02 EOF