0.00/0.02 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.08/0.35 % Computer : n012.cluster.edu 0.08/0.35 % Model : x86_64 x86_64 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.08/0.35 % Memory : 8046.5625MB 0.08/0.35 % OS : Linux 6.8.0-71-generic 0.08/0.35 % CPULimit : 1440 0.08/0.35 % WCLimit : 180 0.08/0.35 % DateTime : Mon Jul 27 13:52:33 UTC 2026 0.12/0.36 % CPUTime : 0.12/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 180 THM 0.12/0.39 Running higher-order theorem proving 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=180 /export/starexec/sandbox/tmp/tmp.WBqZbBf9rx/E---3.1_2090407.p 0.16/0.51 % Version: 3.5.1-ho 0.16/0.51 % Preprocessing class: HSLSSLSMSSSNSFA. 0.16/0.51 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.16/0.51 % Starting additional_ho_4 with 900s (5) cores 0.16/0.51 % Starting pre_casc_8 with 180s (1) cores 0.16/0.51 % Starting pre_casc_5 with 180s (1) cores 0.16/0.51 % Starting pre_casc_6 with 180s (1) cores 0.16/0.51 % additional_ho_4 with pid 2090420 completed with status 0 0.16/0.51 % Result found by additional_ho_4 0.16/0.51 % Preprocessing class: HSLSSLSMSSSNSFA. 0.16/0.51 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.16/0.51 % Starting additional_ho_4 with 900s (5) cores 0.16/0.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,4.0,,6,20000,1.0)) 0.16/0.51 % SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0) 0.16/0.51 % Search class: HGHSM-FFLS32-DSFFFFNN 0.16/0.51 % partial match(2): FGHSM-FFLS32-DFFFFFNN 0.16/0.51 % Scheduled 7 strats onto 5 cores with 900 seconds (900 total) 0.16/0.51 % Starting SubtermCWHack with 82s (1) cores 0.16/0.51 % Starting additional_ho_4 with 91s (1) cores 0.16/0.51 % Starting sh3 with 163s (1) cores 0.16/0.51 % Starting ho_unfolding_3 with 163s (1) cores 0.16/0.51 % Starting new_ho_10_cnf2 with 163s (1) cores 0.16/0.51 % additional_ho_4 with pid 2090427 completed with status 0 0.16/0.51 % Result found by additional_ho_4 0.16/0.51 % Preprocessing class: HSLSSLSMSSSNSFA. 0.16/0.51 % Scheduled 4 strats onto 8 cores with 180 seconds (1440 total) 0.16/0.51 % Starting additional_ho_4 with 900s (5) cores 0.16/0.51 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,4.0,,6,20000,1.0)) 0.16/0.51 % SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0) 0.16/0.51 % Search class: HGHSM-FFLS32-DSFFFFNN 0.16/0.51 % partial match(2): FGHSM-FFLS32-DFFFFFNN 0.16/0.51 % Scheduled 7 strats onto 5 cores with 900 seconds (900 total) 0.16/0.51 % Starting SubtermCWHack with 82s (1) cores 0.16/0.51 % Starting additional_ho_4 with 91s (1) cores 0.16/0.51 % Preprocessing time : 0.002 s 0.16/0.51 % Presaturation interreduction done 0.16/0.51 0.16/0.51 % Proof found! 0.16/0.51 % SZS status Theorem 0.16/0.51 % SZS output start CNFRefutation 0.16/0.51 thf(decl_sort1, type, d: $tType). 0.16/0.51 thf(decl_sort2, type, u: $tType). 0.16/0.51 thf(decl_sort3, type, du: $tType). 0.16/0.51 thf(decl_23, type, tyop_2Emin_2Ebool: d). 0.16/0.51 thf(decl_24, type, tyop_2Emin_2Efun: d > d > d). 0.16/0.51 thf(decl_25, type, s: d > u > du). 0.16/0.51 thf(decl_26, type, app_2E2: du > du > u). 0.16/0.51 thf(decl_32, type, c_2Equotient_2E_2D_2D_3E_2E0: u). 0.16/0.51 thf(decl_33, type, c_2Equotient_2E_2D_2D_3E_2E2: du > du > u). 0.16/0.51 thf(decl_34, type, c_2Equotient_2E_2D_2D_3E_2E3: du > du > du > u). 0.16/0.51 thf(decl_39, type, c_2Equotient_2E_3D_3D_3D_3E_2E0: u). 0.16/0.51 thf(decl_40, type, c_2Equotient_2E_3D_3D_3D_3E_2E2: du > du > u). 0.16/0.51 thf(decl_41, type, c_2Equotient_2E_3D_3D_3D_3E_2E4: du > du > du > du > u). 0.16/0.51 thf(decl_48, type, c_2Equotient_2EQUOTIENT_2E3: du > du > du > u). 0.16/0.51 thf(decl_50, type, c_2Ecombin_2EW_2E0: u). 0.16/0.51 thf(decl_51, type, c_2Ecombin_2EW_2E2: du > du > u). 0.16/0.51 thf(decl_54, type, c_2Equotient_2Erespects_2E0: u). 0.16/0.51 thf(decl_55, type, c_2Equotient_2Erespects_2E2: du > du > u). 0.16/0.51 thf(decl_69, type, j_mono_2Etyop_2Emin_2Ebool: du > $o). 0.16/0.51 thf(decl_72, type, esk1_0: d). 0.16/0.51 thf(decl_73, type, esk2_0: d). 0.16/0.51 thf(decl_74, type, esk3_0: d). 0.16/0.51 thf(decl_75, type, esk4_0: d). 0.16/0.51 thf(decl_76, type, esk5_0: u). 0.16/0.51 thf(decl_77, type, esk6_0: u). 0.16/0.51 thf(decl_78, type, esk7_0: u). 0.16/0.51 thf(decl_79, type, esk8_0: u). 0.16/0.51 thf(decl_80, type, esk9_0: u). 0.16/0.51 thf(decl_81, type, esk10_0: u). 0.16/0.51 thf(decl_82, type, esk11_0: u). 0.16/0.51 thf(decl_83, type, esk12_0: u). 0.16/0.51 thf(arityeq2_2Ec_2Ecombin_2EW_2E2_2Emono_2EA_27a_20mono_2EA_27b, axiom, ![X8:d, X9:d, X10:u, X11:u]:(((s @ X9 @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ X9)) @ X10) @ (s @ X8 @ X11)))=(s @ X9 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ X9)) @ (tyop_2Emin_2Efun @ X8 @ X9)) @ c_2Ecombin_2EW_2E0) @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ X9)) @ X10))) @ (s @ X8 @ X11))))), file('/export/starexec/sandbox/tmp/tmp.WBqZbBf9rx/E---3.1_2090407.p', arityeq2_2Ec_2Ecombin_2EW_2E2_2Emono_2EA_27a_20mono_2EA_27b)). 0.16/0.51 thf(thm_2Equotient_2Erespects__def, axiom, ![X8:d, X9:d]:(((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ X9)) @ (tyop_2Emin_2Efun @ X8 @ X9)) @ c_2Equotient_2Erespects_2E0)=(s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ X9)) @ (tyop_2Emin_2Efun @ X8 @ X9)) @ c_2Ecombin_2EW_2E0))), file('/export/starexec/sandbox/tmp/tmp.WBqZbBf9rx/E---3.1_2090407.p', thm_2Equotient_2Erespects__def)). 0.16/0.51 thf(thm_2Equotient_2EFUN__REL__EQ__REL, conjecture, ![X8:d, X9:d, X12:d, X13:d, X16:u, X17:u, X18:u]:((![X19:u, X20:u, X21:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X19) @ (s @ (tyop_2Emin_2Efun @ X9 @ X13) @ X20) @ (s @ (tyop_2Emin_2Efun @ X13 @ X9) @ X21))))=>![X22:u, X23:u]:((((((s @ (tyop_2Emin_2Efun @ X12 @ X13) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X12 @ X8) @ X18) @ (s @ (tyop_2Emin_2Efun @ X9 @ X13) @ X20) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X22)))=(s @ (tyop_2Emin_2Efun @ X12 @ X13) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X12 @ X8) @ X18) @ (s @ (tyop_2Emin_2Efun @ X9 @ X13) @ X20) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X23))))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X16) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X19))) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X23)))))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X16) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X19))) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X22)))))<=>(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X16) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X19) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X22) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X23))))))))<=(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X16) @ (s @ (tyop_2Emin_2Efun @ X8 @ X12) @ X17) @ (s @ (tyop_2Emin_2Efun @ X12 @ X8) @ X18)))))), file('/export/starexec/sandbox/tmp/tmp.WBqZbBf9rx/E---3.1_2090407.p', thm_2Equotient_2EFUN__REL__EQ__REL)). 0.16/0.51 thf(thm_2Equotient_2EQUOTIENT__REL, axiom, ![X8:d, X9:d, X35:u, X36:u, X37:u]:((![X38:u, X39:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X35) @ (s @ X8 @ X38))) @ (s @ X8 @ X39))))<=>(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X35) @ (s @ X8 @ X39))) @ (s @ X8 @ X39))))&((s @ X9 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X36) @ (s @ X8 @ X38)))=(s @ X9 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X36) @ (s @ X8 @ X39)))))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X35) @ (s @ X8 @ X38))) @ (s @ X8 @ X38)))))))<=(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X35) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X36) @ (s @ (tyop_2Emin_2Efun @ X9 @ X8) @ X37)))))), file('/export/starexec/sandbox/tmp/tmp.WBqZbBf9rx/E---3.1_2090407.p', thm_2Equotient_2EQUOTIENT__REL)). 0.16/0.51 thf(arityeq2_2Ec_2Equotient_2Erespects_2E2_2Emono_2Etyop_2Emin_2Efun_28A_27a_2CA_27b_29_20mono_2Etyop_2Emin_2Ebool, axiom, ![X8:d, X9:d, X10:u, X11:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ X10) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X11))))<=>(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ c_2Equotient_2Erespects_2E0) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ X10))) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X11)))))), file('/export/starexec/sandbox/tmp/tmp.WBqZbBf9rx/E---3.1_2090407.p', arityeq2_2Ec_2Equotient_2Erespects_2E2_2Emono_2Etyop_2Emin_2Efun_28A_27a_2CA_27b_29_20mono_2Etyop_2Emin_2Ebool)). 0.16/0.51 thf(thm_2Ecombin_2EW__THM, axiom, ![X8:d, X9:d, X25:u, X30:u]:(((s @ X9 @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ X9)) @ X25) @ (s @ X8 @ X30)))=(s @ X9 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ X9)) @ X25) @ (s @ X8 @ X30))) @ (s @ X8 @ X30))))), file('/export/starexec/sandbox/tmp/tmp.WBqZbBf9rx/E---3.1_2090407.p', thm_2Ecombin_2EW__THM)). 0.16/0.51 thf(thm_2Equotient_2EFUN__QUOTIENT, axiom, ![X8:d, X9:d, X12:d, X13:d, X16:u, X17:u, X18:u]:((![X19:u, X20:u, X21:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X19) @ (s @ (tyop_2Emin_2Efun @ X9 @ X13) @ X20) @ (s @ (tyop_2Emin_2Efun @ X13 @ X9) @ X21))))=>(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X16) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X19))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ X12 @ X13)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X12 @ X8) @ X18) @ (s @ (tyop_2Emin_2Efun @ X9 @ X13) @ X20))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X12 @ X13) @ (tyop_2Emin_2Efun @ X8 @ X9)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ X12) @ X17) @ (s @ (tyop_2Emin_2Efun @ X13 @ X9) @ X21))))))))<=(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X16) @ (s @ (tyop_2Emin_2Efun @ X8 @ X12) @ X17) @ (s @ (tyop_2Emin_2Efun @ X12 @ X8) @ X18)))))), file('/export/starexec/sandbox/tmp/tmp.WBqZbBf9rx/E---3.1_2090407.p', thm_2Equotient_2EFUN__QUOTIENT)). 0.16/0.51 thf(arityeq4_2Ec_2Equotient_2E_3D_3D_3D_3E_2E4_2Emono_2EA_27a_20mono_2EA_27b, axiom, ![X8:d, X9:d, X10:u, X11:u, X14:u, X15:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X10) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X11) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X14) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X15))))<=>(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)))) @ c_2Equotient_2E_3D_3D_3D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X10))) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X11))) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X14))) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X15)))))), file('/export/starexec/sandbox/tmp/tmp.WBqZbBf9rx/E---3.1_2090407.p', arityeq4_2Ec_2Equotient_2E_3D_3D_3D_3E_2E4_2Emono_2EA_27a_20mono_2EA_27b)). 0.16/0.51 thf(arityeq2_2Ec_2Equotient_2E_3D_3D_3D_3E_2E2_2Emono_2EA_27a_20mono_2EA_27b, axiom, ![X8:d, X9:d, X10:u, X11:u]:(((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X10) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X11)))=(s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)))) @ c_2Equotient_2E_3D_3D_3D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X10))) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X11))))), file('/export/starexec/sandbox/tmp/tmp.WBqZbBf9rx/E---3.1_2090407.p', arityeq2_2Ec_2Equotient_2E_3D_3D_3D_3E_2E2_2Emono_2EA_27a_20mono_2EA_27b)). 0.16/0.51 thf(arityeq3_2Ec_2Equotient_2E_2D_2D_3E_2E3_2Emono_2EA_27c_20mono_2EA_27b_20mono_2EA_27a_20mono_2EA_27d, axiom, ![X8:d, X9:d, X12:d, X13:d, X10:u, X11:u, X14:u]:(((s @ (tyop_2Emin_2Efun @ X12 @ X13) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X12 @ X8) @ X10) @ (s @ (tyop_2Emin_2Efun @ X9 @ X13) @ X11) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X14)))=(s @ (tyop_2Emin_2Efun @ X12 @ X13) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ X12 @ X13)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X9 @ X13) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ X12 @ X13))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X12 @ X8) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X9 @ X13) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ X12 @ X13)))) @ c_2Equotient_2E_2D_2D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X12 @ X8) @ X10))) @ (s @ (tyop_2Emin_2Efun @ X9 @ X13) @ X11))) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X14))))), file('/export/starexec/sandbox/tmp/tmp.WBqZbBf9rx/E---3.1_2090407.p', arityeq3_2Ec_2Equotient_2E_2D_2D_3E_2E3_2Emono_2EA_27c_20mono_2EA_27b_20mono_2EA_27a_20mono_2EA_27d)). 0.16/0.51 thf(arityeq2_2Ec_2Equotient_2E_2D_2D_3E_2E2_2Emono_2EA_27c_20mono_2EA_27b_20mono_2EA_27a_20mono_2EA_27d, axiom, ![X8:d, X9:d, X12:d, X13:d, X10:u, X11:u]:(((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ X12 @ X13)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X12 @ X8) @ X10) @ (s @ (tyop_2Emin_2Efun @ X9 @ X13) @ X11)))=(s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ X12 @ X13)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X9 @ X13) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ X12 @ X13))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X12 @ X8) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X9 @ X13) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ X12 @ X13)))) @ c_2Equotient_2E_2D_2D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X12 @ X8) @ X10))) @ (s @ (tyop_2Emin_2Efun @ X9 @ X13) @ X11))))), file('/export/starexec/sandbox/tmp/tmp.WBqZbBf9rx/E---3.1_2090407.p', arityeq2_2Ec_2Equotient_2E_2D_2D_3E_2E2_2Emono_2EA_27c_20mono_2EA_27b_20mono_2EA_27a_20mono_2EA_27d)). 0.16/0.51 thf(c_0_11, plain, ![X234:d, X235:d, X236:u, X237:u]:(((s @ X235 @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X234 @ (tyop_2Emin_2Efun @ X234 @ X235)) @ X236) @ (s @ X234 @ X237)))=(s @ X235 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X234 @ X235) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X234 @ (tyop_2Emin_2Efun @ X234 @ X235)) @ (tyop_2Emin_2Efun @ X234 @ X235)) @ c_2Ecombin_2EW_2E0) @ (s @ (tyop_2Emin_2Efun @ X234 @ (tyop_2Emin_2Efun @ X234 @ X235)) @ X236))) @ (s @ X234 @ X237))))), inference(variable_rename,[status(thm)],[arityeq2_2Ec_2Ecombin_2EW_2E2_2Emono_2EA_27a_20mono_2EA_27b])). 0.16/0.51 thf(c_0_12, plain, ![X232:d, X233:d]:(((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X232 @ (tyop_2Emin_2Efun @ X232 @ X233)) @ (tyop_2Emin_2Efun @ X232 @ X233)) @ c_2Equotient_2Erespects_2E0)=(s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X232 @ (tyop_2Emin_2Efun @ X232 @ X233)) @ (tyop_2Emin_2Efun @ X232 @ X233)) @ c_2Ecombin_2EW_2E0))), inference(variable_rename,[status(thm)],[thm_2Equotient_2Erespects__def])). 0.16/0.51 thf(c_0_13, negated_conjecture, ~(![X8:d, X9:d, X12:d, X13:d, X16:u, X17:u, X18:u]:((![X19:u, X20:u, X21:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X19) @ (s @ (tyop_2Emin_2Efun @ X9 @ X13) @ X20) @ (s @ (tyop_2Emin_2Efun @ X13 @ X9) @ X21))))=>![X22:u, X23:u]:((((((s @ (tyop_2Emin_2Efun @ X12 @ X13) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X12 @ X8) @ X18) @ (s @ (tyop_2Emin_2Efun @ X9 @ X13) @ X20) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X22)))=(s @ (tyop_2Emin_2Efun @ X12 @ X13) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X12 @ X8) @ X18) @ (s @ (tyop_2Emin_2Efun @ X9 @ X13) @ X20) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X23))))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X16) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X19))) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X23)))))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X16) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X19))) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X22)))))<=>(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X16) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X19) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X22) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X23))))))))<=(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X16) @ (s @ (tyop_2Emin_2Efun @ X8 @ X12) @ X17) @ (s @ (tyop_2Emin_2Efun @ X12 @ X8) @ X18))))))), inference(assume_negation,[status(cth)],[thm_2Equotient_2EFUN__REL__EQ__REL])). 0.16/0.51 thf(c_0_14, plain, ![X8:d, X9:d, X35:u, X36:u, X37:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X35) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X36) @ (s @ (tyop_2Emin_2Efun @ X9 @ X8) @ X37))))=>![X38:u, X39:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X35) @ (s @ X8 @ X38))) @ (s @ X8 @ X39))))<=>(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X35) @ (s @ X8 @ X39))) @ (s @ X8 @ X39))))&((s @ X9 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X36) @ (s @ X8 @ X38)))=(s @ X9 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X36) @ (s @ X8 @ X39)))))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X35) @ (s @ X8 @ X38))) @ (s @ X8 @ X38))))))))), inference(fof_simplification,[status(thm)],[thm_2Equotient_2EQUOTIENT__REL])). 0.16/0.51 thf(c_0_15, plain, ![X205:d, X206:d, X207:u, X208:u]:(((~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X205 @ X206) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X205 @ X206) @ tyop_2Emin_2Ebool)) @ X207) @ (s @ (tyop_2Emin_2Efun @ X205 @ X206) @ X208))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X205 @ X206) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X205 @ X206) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X205 @ X206) @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X205 @ X206) @ tyop_2Emin_2Ebool)) @ c_2Equotient_2Erespects_2E0) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X205 @ X206) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X205 @ X206) @ tyop_2Emin_2Ebool)) @ X207))) @ (s @ (tyop_2Emin_2Efun @ X205 @ X206) @ X208)))))&(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X205 @ X206) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X205 @ X206) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X205 @ X206) @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X205 @ X206) @ tyop_2Emin_2Ebool)) @ c_2Equotient_2Erespects_2E0) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X205 @ X206) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X205 @ X206) @ tyop_2Emin_2Ebool)) @ X207))) @ (s @ (tyop_2Emin_2Efun @ X205 @ X206) @ X208))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X205 @ X206) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X205 @ X206) @ tyop_2Emin_2Ebool)) @ X207) @ (s @ (tyop_2Emin_2Efun @ X205 @ X206) @ X208))))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arityeq2_2Ec_2Equotient_2Erespects_2E2_2Emono_2Etyop_2Emin_2Efun_28A_27a_2CA_27b_29_20mono_2Etyop_2Emin_2Ebool])])])). 0.16/0.51 thf(c_0_16, plain, ![X2:u, X8:d, X9:d, X10:u]:(((s @ X8 @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ X8)) @ X2) @ (s @ X9 @ X10)))=(s @ X8 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X9 @ X8) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ X8)) @ (tyop_2Emin_2Efun @ X9 @ X8)) @ c_2Ecombin_2EW_2E0) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ X8)) @ X2))) @ (s @ X9 @ X10))))), inference(split_conjunct,[status(thm)],[c_0_11])). 0.16/0.51 thf(c_0_17, plain, ![X8:d, X9:d]:(((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ X9)) @ (tyop_2Emin_2Efun @ X8 @ X9)) @ c_2Equotient_2Erespects_2E0)=(s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ X9)) @ (tyop_2Emin_2Efun @ X8 @ X9)) @ c_2Ecombin_2EW_2E0))), inference(split_conjunct,[status(thm)],[c_0_12])). 0.16/0.51 thf(c_0_18, negated_conjecture, ~(![X8:d, X9:d, X12:d, X13:d, X16:u, X17:u, X18:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X16) @ (s @ (tyop_2Emin_2Efun @ X8 @ X12) @ X17) @ (s @ (tyop_2Emin_2Efun @ X12 @ X8) @ X18))))=>![X19:u, X20:u, X21:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X19) @ (s @ (tyop_2Emin_2Efun @ X9 @ X13) @ X20) @ (s @ (tyop_2Emin_2Efun @ X13 @ X9) @ X21))))=>![X22:u, X23:u]:((((((s @ (tyop_2Emin_2Efun @ X12 @ X13) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X12 @ X8) @ X18) @ (s @ (tyop_2Emin_2Efun @ X9 @ X13) @ X20) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X22)))=(s @ (tyop_2Emin_2Efun @ X12 @ X13) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X12 @ X8) @ X18) @ (s @ (tyop_2Emin_2Efun @ X9 @ X13) @ X20) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X23))))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X16) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X19))) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X23)))))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X16) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X19))) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X22)))))<=>(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X16) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X19) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X22) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X23))))))))))), inference(fof_simplification,[status(thm)],[c_0_13])). 0.16/0.51 thf(c_0_19, plain, ![X155:d, X156:d, X157:u, X158:u, X159:u, X160:u, X161:u]:((((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X155 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X155 @ (tyop_2Emin_2Efun @ X155 @ tyop_2Emin_2Ebool)) @ X157) @ (s @ X155 @ X161))) @ (s @ X155 @ X161))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X155 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X155 @ (tyop_2Emin_2Efun @ X155 @ tyop_2Emin_2Ebool)) @ X157) @ (s @ X155 @ X160))) @ (s @ X155 @ X161))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X155 @ (tyop_2Emin_2Efun @ X155 @ tyop_2Emin_2Ebool)) @ X157) @ (s @ (tyop_2Emin_2Efun @ X155 @ X156) @ X158) @ (s @ (tyop_2Emin_2Efun @ X156 @ X155) @ X159)))))&(((s @ X156 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X155 @ X156) @ X158) @ (s @ X155 @ X160)))=(s @ X156 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X155 @ X156) @ X158) @ (s @ X155 @ X161))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X155 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X155 @ (tyop_2Emin_2Efun @ X155 @ tyop_2Emin_2Ebool)) @ X157) @ (s @ X155 @ X160))) @ (s @ X155 @ X161))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X155 @ (tyop_2Emin_2Efun @ X155 @ tyop_2Emin_2Ebool)) @ X157) @ (s @ (tyop_2Emin_2Efun @ X155 @ X156) @ X158) @ (s @ (tyop_2Emin_2Efun @ X156 @ X155) @ X159))))))&((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X155 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X155 @ (tyop_2Emin_2Efun @ X155 @ tyop_2Emin_2Ebool)) @ X157) @ (s @ X155 @ X160))) @ (s @ X155 @ X160))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X155 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X155 @ (tyop_2Emin_2Efun @ X155 @ tyop_2Emin_2Ebool)) @ X157) @ (s @ X155 @ X160))) @ (s @ X155 @ X161))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X155 @ (tyop_2Emin_2Efun @ X155 @ tyop_2Emin_2Ebool)) @ X157) @ (s @ (tyop_2Emin_2Efun @ X155 @ X156) @ X158) @ (s @ (tyop_2Emin_2Efun @ X156 @ X155) @ X159))))))&(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X155 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X155 @ (tyop_2Emin_2Efun @ X155 @ tyop_2Emin_2Ebool)) @ X157) @ (s @ X155 @ X161))) @ (s @ X155 @ X161))))|((s @ X156 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X155 @ X156) @ X158) @ (s @ X155 @ X160)))!=(s @ X156 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X155 @ X156) @ X158) @ (s @ X155 @ X161))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X155 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X155 @ (tyop_2Emin_2Efun @ X155 @ tyop_2Emin_2Ebool)) @ X157) @ (s @ X155 @ X160))) @ (s @ X155 @ X160))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X155 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X155 @ (tyop_2Emin_2Efun @ X155 @ tyop_2Emin_2Ebool)) @ X157) @ (s @ X155 @ X160))) @ (s @ X155 @ X161))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X155 @ (tyop_2Emin_2Efun @ X155 @ tyop_2Emin_2Ebool)) @ X157) @ (s @ (tyop_2Emin_2Efun @ X155 @ X156) @ X158) @ (s @ (tyop_2Emin_2Efun @ X156 @ X155) @ X159))))))), 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_14])])])])])). 0.16/0.51 thf(c_0_20, plain, ![X238:d, X239:d, X240:u, X241:u]:(((s @ X239 @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X238 @ (tyop_2Emin_2Efun @ X238 @ X239)) @ X240) @ (s @ X238 @ X241)))=(s @ X239 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X238 @ X239) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X238 @ (tyop_2Emin_2Efun @ X238 @ X239)) @ X240) @ (s @ X238 @ X241))) @ (s @ X238 @ X241))))), inference(variable_rename,[status(thm)],[thm_2Ecombin_2EW__THM])). 0.16/0.51 thf(c_0_21, plain, ![X2:u, X8:d, X9:d, X10:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ c_2Equotient_2Erespects_2E0) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ X2))) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X10))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X10))))))), inference(split_conjunct,[status(thm)],[c_0_15])). 0.16/0.51 thf(c_0_22, plain, ![X2:u, X8:d, X9:d, X10:u]:(((s @ X8 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X9 @ X8) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ X8)) @ (tyop_2Emin_2Efun @ X9 @ X8)) @ c_2Equotient_2Erespects_2E0) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ X8)) @ X2))) @ (s @ X9 @ X10)))=(s @ X8 @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ X8)) @ X2) @ (s @ X9 @ X10))))), inference(rw,[status(thm)],[c_0_16, c_0_17])). 0.16/0.51 thf(c_0_23, negated_conjecture, ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk3_0) @ esk6_0) @ (s @ (tyop_2Emin_2Efun @ esk3_0 @ esk1_0) @ esk7_0))))&((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk4_0) @ esk9_0) @ (s @ (tyop_2Emin_2Efun @ esk4_0 @ esk2_0) @ esk10_0))))&((((s @ (tyop_2Emin_2Efun @ esk3_0 @ esk4_0) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ esk3_0 @ esk1_0) @ esk7_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk4_0) @ esk9_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0)))!=(s @ (tyop_2Emin_2Efun @ esk3_0 @ esk4_0) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ esk3_0 @ esk1_0) @ esk7_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk4_0) @ esk9_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0))))|~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0)))))&(((((s @ (tyop_2Emin_2Efun @ esk3_0 @ esk4_0) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ esk3_0 @ esk1_0) @ esk7_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk4_0) @ esk9_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0)))=(s @ (tyop_2Emin_2Efun @ esk3_0 @ esk4_0) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ esk3_0 @ esk1_0) @ esk7_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk4_0) @ esk9_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0)))))&((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0))))))&((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_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_18])])])])])). 0.16/0.51 thf(c_0_24, plain, ![X8:d, X9:d, X12:d, X13:d, X16:u, X17:u, X18:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X16) @ (s @ (tyop_2Emin_2Efun @ X8 @ X12) @ X17) @ (s @ (tyop_2Emin_2Efun @ X12 @ X8) @ X18))))=>![X19:u, X20:u, X21:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X19) @ (s @ (tyop_2Emin_2Efun @ X9 @ X13) @ X20) @ (s @ (tyop_2Emin_2Efun @ X13 @ X9) @ X21))))=>(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X16) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X19))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ X12 @ X13)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X12 @ X8) @ X18) @ (s @ (tyop_2Emin_2Efun @ X9 @ X13) @ X20))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X12 @ X13) @ (tyop_2Emin_2Efun @ X8 @ X9)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ X12) @ X17) @ (s @ (tyop_2Emin_2Efun @ X13 @ X9) @ X21)))))))))), inference(fof_simplification,[status(thm)],[thm_2Equotient_2EFUN__QUOTIENT])). 0.16/0.51 thf(c_0_25, plain, ![X2:u, X8:d, X10:u, X11:u, X9:d, X14:u, X15:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X8 @ X14))) @ (s @ X8 @ X10))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X8 @ X10))) @ (s @ X8 @ X10)))))|((s @ X9 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X11) @ (s @ X8 @ X14)))!=(s @ X9 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X11) @ (s @ X8 @ X10))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X8 @ X14))) @ (s @ X8 @ X14)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X11) @ (s @ (tyop_2Emin_2Efun @ X9 @ X8) @ X15))))))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.16/0.51 thf(c_0_26, plain, ![X2:u, X8:d, X9:d, X10:u]:(((s @ X8 @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ X8)) @ X2) @ (s @ X9 @ X10)))=(s @ X8 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X9 @ X8) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ X8)) @ X2) @ (s @ X9 @ X10))) @ (s @ X9 @ X10))))), inference(split_conjunct,[status(thm)],[c_0_20])). 0.16/0.51 thf(c_0_27, plain, ![X2:u, X8:d, X9:d, X10:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X10))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X10))))))), inference(rw,[status(thm)],[c_0_21, c_0_22])). 0.16/0.51 thf(c_0_28, negated_conjecture, ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0))))), inference(split_conjunct,[status(thm)],[c_0_23])). 0.16/0.51 thf(c_0_29, plain, ![X199:d, X200:d, X201:u, X202:u, X203:u, X204:u]:(((~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X199 @ (tyop_2Emin_2Efun @ X199 @ tyop_2Emin_2Ebool)) @ X201) @ (s @ (tyop_2Emin_2Efun @ X200 @ (tyop_2Emin_2Efun @ X200 @ tyop_2Emin_2Ebool)) @ X202) @ (s @ (tyop_2Emin_2Efun @ X199 @ X200) @ X203) @ (s @ (tyop_2Emin_2Efun @ X199 @ X200) @ X204))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X199 @ X200) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X199 @ X200) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X199 @ X200) @ tyop_2Emin_2Ebool)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X200 @ (tyop_2Emin_2Efun @ X200 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X199 @ X200) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X199 @ X200) @ tyop_2Emin_2Ebool))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X199 @ (tyop_2Emin_2Efun @ X199 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X200 @ (tyop_2Emin_2Efun @ X200 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X199 @ X200) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X199 @ X200) @ tyop_2Emin_2Ebool)))) @ c_2Equotient_2E_3D_3D_3D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X199 @ (tyop_2Emin_2Efun @ X199 @ tyop_2Emin_2Ebool)) @ X201))) @ (s @ (tyop_2Emin_2Efun @ X200 @ (tyop_2Emin_2Efun @ X200 @ tyop_2Emin_2Ebool)) @ X202))) @ (s @ (tyop_2Emin_2Efun @ X199 @ X200) @ X203))) @ (s @ (tyop_2Emin_2Efun @ X199 @ X200) @ X204)))))&(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X199 @ X200) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X199 @ X200) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X199 @ X200) @ tyop_2Emin_2Ebool)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X200 @ (tyop_2Emin_2Efun @ X200 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X199 @ X200) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X199 @ X200) @ tyop_2Emin_2Ebool))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X199 @ (tyop_2Emin_2Efun @ X199 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X200 @ (tyop_2Emin_2Efun @ X200 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X199 @ X200) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X199 @ X200) @ tyop_2Emin_2Ebool)))) @ c_2Equotient_2E_3D_3D_3D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X199 @ (tyop_2Emin_2Efun @ X199 @ tyop_2Emin_2Ebool)) @ X201))) @ (s @ (tyop_2Emin_2Efun @ X200 @ (tyop_2Emin_2Efun @ X200 @ tyop_2Emin_2Ebool)) @ X202))) @ (s @ (tyop_2Emin_2Efun @ X199 @ X200) @ X203))) @ (s @ (tyop_2Emin_2Efun @ X199 @ X200) @ X204))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X199 @ (tyop_2Emin_2Efun @ X199 @ tyop_2Emin_2Ebool)) @ X201) @ (s @ (tyop_2Emin_2Efun @ X200 @ (tyop_2Emin_2Efun @ X200 @ tyop_2Emin_2Ebool)) @ X202) @ (s @ (tyop_2Emin_2Efun @ X199 @ X200) @ X203) @ (s @ (tyop_2Emin_2Efun @ X199 @ X200) @ X204))))))), inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arityeq4_2Ec_2Equotient_2E_3D_3D_3D_3E_2E4_2Emono_2EA_27a_20mono_2EA_27b])])])). 0.16/0.51 thf(c_0_30, plain, ![X209:d, X210:d, X211:u, X212:u]:(((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X209 @ X210) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X209 @ X210) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X209 @ (tyop_2Emin_2Efun @ X209 @ tyop_2Emin_2Ebool)) @ X211) @ (s @ (tyop_2Emin_2Efun @ X210 @ (tyop_2Emin_2Efun @ X210 @ tyop_2Emin_2Ebool)) @ X212)))=(s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X209 @ X210) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X209 @ X210) @ tyop_2Emin_2Ebool)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X210 @ (tyop_2Emin_2Efun @ X210 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X209 @ X210) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X209 @ X210) @ tyop_2Emin_2Ebool))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X209 @ (tyop_2Emin_2Efun @ X209 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X210 @ (tyop_2Emin_2Efun @ X210 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X209 @ X210) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X209 @ X210) @ tyop_2Emin_2Ebool)))) @ c_2Equotient_2E_3D_3D_3D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X209 @ (tyop_2Emin_2Efun @ X209 @ tyop_2Emin_2Ebool)) @ X211))) @ (s @ (tyop_2Emin_2Efun @ X210 @ (tyop_2Emin_2Efun @ X210 @ tyop_2Emin_2Ebool)) @ X212))))), inference(variable_rename,[status(thm)],[arityeq2_2Ec_2Equotient_2E_3D_3D_3D_3E_2E2_2Emono_2EA_27a_20mono_2EA_27b])). 0.16/0.51 thf(c_0_31, plain, ![X174:d, X175:d, X176:d, X177:d, X178:u, X179:u, X180:u, X181:u, X182:u, X183:u]:((~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X174 @ (tyop_2Emin_2Efun @ X174 @ tyop_2Emin_2Ebool)) @ X178) @ (s @ (tyop_2Emin_2Efun @ X174 @ X176) @ X179) @ (s @ (tyop_2Emin_2Efun @ X176 @ X174) @ X180))))|(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X175 @ (tyop_2Emin_2Efun @ X175 @ tyop_2Emin_2Ebool)) @ X181) @ (s @ (tyop_2Emin_2Efun @ X175 @ X177) @ X182) @ (s @ (tyop_2Emin_2Efun @ X177 @ X175) @ X183))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X174 @ X175) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X174 @ X175) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X174 @ (tyop_2Emin_2Efun @ X174 @ tyop_2Emin_2Ebool)) @ X178) @ (s @ (tyop_2Emin_2Efun @ X175 @ (tyop_2Emin_2Efun @ X175 @ tyop_2Emin_2Ebool)) @ X181))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X174 @ X175) @ (tyop_2Emin_2Efun @ X176 @ X177)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X176 @ X174) @ X180) @ (s @ (tyop_2Emin_2Efun @ X175 @ X177) @ X182))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X176 @ X177) @ (tyop_2Emin_2Efun @ X174 @ X175)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X174 @ X176) @ X179) @ (s @ (tyop_2Emin_2Efun @ X177 @ X175) @ X183))))))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])])])). 0.16/0.51 thf(c_0_32, plain, ![X2:u, X9:d, X8:d, X10:u, X15:u, X14:u, X11:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X8 @ X10))) @ (s @ X8 @ X11))))|((s @ X9 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X14) @ (s @ X8 @ X11)))!=(s @ X9 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X14) @ (s @ X8 @ X10))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X14) @ (s @ (tyop_2Emin_2Efun @ X9 @ X8) @ X15)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X8 @ X10)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X8 @ X11))))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_26]), c_0_26])). 0.16/0.51 thf(c_0_33, negated_conjecture, ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0))))), inference(spm,[status(thm)],[c_0_27, c_0_28])). 0.16/0.51 thf(c_0_34, negated_conjecture, ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0))))), inference(split_conjunct,[status(thm)],[c_0_23])). 0.16/0.51 thf(c_0_35, plain, ![X2:u, X8:d, X9:d, X11:u, X10:u, X14:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)))) @ c_2Equotient_2E_3D_3D_3D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2))) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X10))) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X11))) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X14))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X10) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X11) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X14))))))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.16/0.51 thf(c_0_36, plain, ![X2:u, X8:d, X9:d, X10:u]:(((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X10)))=(s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)))) @ c_2Equotient_2E_3D_3D_3D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2))) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X10))))), inference(split_conjunct,[status(thm)],[c_0_30])). 0.16/0.51 thf(c_0_37, plain, ![X2:u, X8:d, X10:u, X9:d, X11:u, X12:d, X14:u, X15:u, X13:d, X16:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X12) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X12) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X12 @ (tyop_2Emin_2Efun @ X12 @ tyop_2Emin_2Ebool)) @ X14))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X12) @ (tyop_2Emin_2Efun @ X9 @ X13)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X9 @ X8) @ X11) @ (s @ (tyop_2Emin_2Efun @ X12 @ X13) @ X15))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X9 @ X13) @ (tyop_2Emin_2Efun @ X8 @ X12)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X10) @ (s @ (tyop_2Emin_2Efun @ X13 @ X12) @ X16))))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X10) @ (s @ (tyop_2Emin_2Efun @ X9 @ X8) @ X11)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X12 @ (tyop_2Emin_2Efun @ X12 @ tyop_2Emin_2Ebool)) @ X14) @ (s @ (tyop_2Emin_2Efun @ X12 @ X13) @ X15) @ (s @ (tyop_2Emin_2Efun @ X13 @ X12) @ X16))))))), inference(split_conjunct,[status(thm)],[c_0_31])). 0.16/0.51 thf(c_0_38, negated_conjecture, (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk4_0) @ esk9_0) @ (s @ (tyop_2Emin_2Efun @ esk4_0 @ esk2_0) @ esk10_0)))), inference(split_conjunct,[status(thm)],[c_0_23])). 0.16/0.51 thf(c_0_39, plain, ![X213:d, X214:d, X215:d, X216:d, X217:u, X218:u, X219:u]:(((s @ (tyop_2Emin_2Efun @ X215 @ X216) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X215 @ X213) @ X217) @ (s @ (tyop_2Emin_2Efun @ X214 @ X216) @ X218) @ (s @ (tyop_2Emin_2Efun @ X213 @ X214) @ X219)))=(s @ (tyop_2Emin_2Efun @ X215 @ X216) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X213 @ X214) @ (tyop_2Emin_2Efun @ X215 @ X216)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X214 @ X216) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X213 @ X214) @ (tyop_2Emin_2Efun @ X215 @ X216))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X215 @ X213) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X214 @ X216) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X213 @ X214) @ (tyop_2Emin_2Efun @ X215 @ X216)))) @ c_2Equotient_2E_2D_2D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X215 @ X213) @ X217))) @ (s @ (tyop_2Emin_2Efun @ X214 @ X216) @ X218))) @ (s @ (tyop_2Emin_2Efun @ X213 @ X214) @ X219))))), inference(variable_rename,[status(thm)],[arityeq3_2Ec_2Equotient_2E_2D_2D_3E_2E3_2Emono_2EA_27c_20mono_2EA_27b_20mono_2EA_27a_20mono_2EA_27d])). 0.16/0.51 thf(c_0_40, plain, ![X220:d, X221:d, X222:d, X223:d, X224:u, X225:u]:(((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X220 @ X221) @ (tyop_2Emin_2Efun @ X222 @ X223)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X222 @ X220) @ X224) @ (s @ (tyop_2Emin_2Efun @ X221 @ X223) @ X225)))=(s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X220 @ X221) @ (tyop_2Emin_2Efun @ X222 @ X223)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X221 @ X223) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X220 @ X221) @ (tyop_2Emin_2Efun @ X222 @ X223))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X222 @ X220) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X221 @ X223) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X220 @ X221) @ (tyop_2Emin_2Efun @ X222 @ X223)))) @ c_2Equotient_2E_2D_2D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X222 @ X220) @ X224))) @ (s @ (tyop_2Emin_2Efun @ X221 @ X223) @ X225))))), inference(variable_rename,[status(thm)],[arityeq2_2Ec_2Equotient_2E_2D_2D_3E_2E2_2Emono_2EA_27c_20mono_2EA_27b_20mono_2EA_27a_20mono_2EA_27d])). 0.16/0.51 thf(c_0_41, negated_conjecture, ![X8:d, X11:u, X10:u, X2:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ X2))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0))))|((s @ X8 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ X8) @ X10) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ X2)))!=(s @ X8 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ X8) @ X10) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ X8) @ X10) @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0)) @ X11)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ X2))))))), inference(spm,[status(thm)],[c_0_32, c_0_33])). 0.16/0.51 thf(c_0_42, negated_conjecture, ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0))))), inference(spm,[status(thm)],[c_0_27, c_0_34])). 0.16/0.51 thf(c_0_43, plain, ![X2:u, X8:d, X9:d, X11:u, X10:u, X14:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X10))) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X11))) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X14))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X10) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X11) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X14))))))), inference(rw,[status(thm)],[c_0_35, c_0_36])). 0.16/0.51 thf(c_0_44, negated_conjecture, ![X2:u, X8:d, X9:d, X11:u, X10:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ esk2_0) @ (tyop_2Emin_2Efun @ X9 @ esk4_0)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X9 @ X8) @ X10) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk4_0) @ esk9_0))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X9 @ esk4_0) @ (tyop_2Emin_2Efun @ X8 @ esk2_0)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X11) @ (s @ (tyop_2Emin_2Efun @ esk4_0 @ esk2_0) @ esk10_0))))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X11) @ (s @ (tyop_2Emin_2Efun @ X9 @ X8) @ X10))))))), inference(spm,[status(thm)],[c_0_37, c_0_38])). 0.16/0.51 thf(c_0_45, negated_conjecture, (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk3_0) @ esk6_0) @ (s @ (tyop_2Emin_2Efun @ esk3_0 @ esk1_0) @ esk7_0)))), inference(split_conjunct,[status(thm)],[c_0_23])). 0.16/0.51 thf(c_0_46, plain, ![X8:d, X2:u, X9:d, X10:u, X13:d, X12:d, X11:u]:(((s @ (tyop_2Emin_2Efun @ X8 @ X9) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X8 @ X12) @ X2) @ (s @ (tyop_2Emin_2Efun @ X13 @ X9) @ X10) @ (s @ (tyop_2Emin_2Efun @ X12 @ X13) @ X11)))=(s @ (tyop_2Emin_2Efun @ X8 @ X9) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X12 @ X13) @ (tyop_2Emin_2Efun @ X8 @ X9)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X13 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X12 @ X13) @ (tyop_2Emin_2Efun @ X8 @ X9))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X12) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X13 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X12 @ X13) @ (tyop_2Emin_2Efun @ X8 @ X9)))) @ c_2Equotient_2E_2D_2D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X8 @ X12) @ X2))) @ (s @ (tyop_2Emin_2Efun @ X13 @ X9) @ X10))) @ (s @ (tyop_2Emin_2Efun @ X12 @ X13) @ X11))))), inference(split_conjunct,[status(thm)],[c_0_39])). 0.16/0.51 thf(c_0_47, plain, ![X2:u, X8:d, X9:d, X13:d, X12:d, X10:u]:(((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ X12 @ X13)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X12 @ X8) @ X2) @ (s @ (tyop_2Emin_2Efun @ X9 @ X13) @ X10)))=(s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ X12 @ X13)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X9 @ X13) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ X12 @ X13))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X12 @ X8) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X9 @ X13) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ X12 @ X13)))) @ c_2Equotient_2E_2D_2D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X12 @ X8) @ X2))) @ (s @ (tyop_2Emin_2Efun @ X9 @ X13) @ X10))))), inference(split_conjunct,[status(thm)],[c_0_40])). 0.16/0.51 thf(c_0_48, negated_conjecture, (((s @ (tyop_2Emin_2Efun @ esk3_0 @ esk4_0) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ esk3_0 @ esk1_0) @ esk7_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk4_0) @ esk9_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0)))=(s @ (tyop_2Emin_2Efun @ esk3_0 @ esk4_0) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ esk3_0 @ esk1_0) @ esk7_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk4_0) @ esk9_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0))))), inference(split_conjunct,[status(thm)],[c_0_23])). 0.16/0.51 thf(c_0_49, plain, ![X2:u, X8:d, X10:u, X11:u, X9:d, X14:u, X15:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X8 @ X10))) @ (s @ X8 @ X10))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X8 @ X11))) @ (s @ X8 @ X10)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X14) @ (s @ (tyop_2Emin_2Efun @ X9 @ X8) @ X15))))))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.16/0.51 thf(c_0_50, plain, ![X2:u, X8:d, X9:d, X11:u, X10:u, X14:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X10) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X11) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X14))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)))) @ c_2Equotient_2E_3D_3D_3D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2))) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X10))) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X11))) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X14))))))), inference(split_conjunct,[status(thm)],[c_0_29])). 0.16/0.51 thf(c_0_51, negated_conjecture, ![X2:u, X8:d, X10:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0))))|((s @ X8 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ X8) @ X2) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0)))!=(s @ X8 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ X8) @ X2) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ X8) @ X2) @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0)) @ X10))))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41, c_0_42]), c_0_43])). 0.16/0.51 thf(c_0_52, negated_conjecture, (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ esk3_0 @ esk4_0)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk3_0 @ esk1_0) @ esk7_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk4_0) @ esk9_0))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk3_0 @ esk4_0) @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk3_0) @ esk6_0) @ (s @ (tyop_2Emin_2Efun @ esk4_0 @ esk2_0) @ esk10_0)))))), inference(spm,[status(thm)],[c_0_44, c_0_45])). 0.16/0.51 thf(c_0_53, plain, ![X8:d, X2:u, X9:d, X10:u, X13:d, X12:d, X11:u]:(((s @ (tyop_2Emin_2Efun @ X8 @ X9) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X12 @ X13) @ (tyop_2Emin_2Efun @ X8 @ X9)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ X12) @ X2) @ (s @ (tyop_2Emin_2Efun @ X13 @ X9) @ X10))) @ (s @ (tyop_2Emin_2Efun @ X12 @ X13) @ X11)))=(s @ (tyop_2Emin_2Efun @ X8 @ X9) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X8 @ X12) @ X2) @ (s @ (tyop_2Emin_2Efun @ X13 @ X9) @ X10) @ (s @ (tyop_2Emin_2Efun @ X12 @ X13) @ X11))))), inference(rw,[status(thm)],[c_0_46, c_0_47])). 0.16/0.51 thf(c_0_54, negated_conjecture, (((s @ (tyop_2Emin_2Efun @ esk3_0 @ esk4_0) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ esk3_0 @ esk1_0) @ esk7_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk4_0) @ esk9_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0)))=(s @ (tyop_2Emin_2Efun @ esk3_0 @ esk4_0) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ esk3_0 @ esk1_0) @ esk7_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk4_0) @ esk9_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0))))), inference(spm,[status(thm)],[c_0_43, c_0_48])). 0.16/0.51 thf(c_0_55, plain, ![X2:u, X8:d, X10:u, X11:u, X9:d, X14:u, X15:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X8 @ X10))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X8 @ X11))) @ (s @ X8 @ X10)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X14) @ (s @ (tyop_2Emin_2Efun @ X9 @ X8) @ X15))))))), inference(rw,[status(thm)],[c_0_49, c_0_26])). 0.16/0.51 thf(c_0_56, plain, ![X2:u, X8:d, X10:u, X11:u, X9:d, X14:u, X15:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X8 @ X10))) @ (s @ X8 @ X10))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X8 @ X10))) @ (s @ X8 @ X11)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X14) @ (s @ (tyop_2Emin_2Efun @ X9 @ X8) @ X15))))))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.16/0.51 thf(c_0_57, plain, ![X2:u, X8:d, X9:d, X11:u, X10:u, X14:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X10) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X11) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X14))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X10))) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X11))) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X14))))))), inference(rw,[status(thm)],[c_0_50, c_0_36])). 0.16/0.51 thf(c_0_58, negated_conjecture, (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0)))), inference(csr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51, c_0_52]), c_0_53]), c_0_53]), c_0_54])). 0.16/0.51 thf(c_0_59, plain, ![X2:u, X8:d, X9:d, X10:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X10))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ c_2Equotient_2Erespects_2E0) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ X2))) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X10))))))), inference(split_conjunct,[status(thm)],[c_0_15])). 0.16/0.51 thf(c_0_60, negated_conjecture, ![X10:u, X2:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ X2))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ X10))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ X2))))))), inference(spm,[status(thm)],[c_0_55, c_0_52])). 0.16/0.51 thf(c_0_61, plain, ![X2:u, X8:d, X10:u, X11:u, X9:d, X14:u, X15:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X8 @ X10))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X8 @ X10))) @ (s @ X8 @ X11)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X8 @ (tyop_2Emin_2Efun @ X8 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X14) @ (s @ (tyop_2Emin_2Efun @ X9 @ X8) @ X15))))))), inference(rw,[status(thm)],[c_0_56, c_0_26])). 0.16/0.51 thf(c_0_62, negated_conjecture, (((s @ (tyop_2Emin_2Efun @ esk3_0 @ esk4_0) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ esk3_0 @ esk1_0) @ esk7_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk4_0) @ esk9_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0)))!=(s @ (tyop_2Emin_2Efun @ esk3_0 @ esk4_0) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ esk3_0 @ esk1_0) @ esk7_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk4_0) @ esk9_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0)))))), inference(split_conjunct,[status(thm)],[c_0_23])). 0.16/0.51 thf(c_0_63, negated_conjecture, (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0)))), inference(spm,[status(thm)],[c_0_57, c_0_58])). 0.16/0.51 thf(c_0_64, plain, ![X2:u, X8:d, X9:d, X10:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X10))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X8 @ X9) @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X10))))))), inference(rw,[status(thm)],[c_0_59, c_0_22])). 0.16/0.51 thf(c_0_65, negated_conjecture, (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0)))), inference(spm,[status(thm)],[c_0_60, c_0_58])). 0.16/0.51 thf(c_0_66, negated_conjecture, ![X2:u, X10:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ X2))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ X2))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ X10))))))), inference(spm,[status(thm)],[c_0_61, c_0_52])). 0.16/0.51 thf(c_0_67, negated_conjecture, (((s @ (tyop_2Emin_2Efun @ esk3_0 @ esk4_0) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ esk3_0 @ esk1_0) @ esk7_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk4_0) @ esk9_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0)))!=(s @ (tyop_2Emin_2Efun @ esk3_0 @ esk4_0) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ esk3_0 @ esk1_0) @ esk7_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk4_0) @ esk9_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62, c_0_63])])). 0.16/0.51 thf(c_0_68, negated_conjecture, (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0)))), inference(spm,[status(thm)],[c_0_64, c_0_65])). 0.16/0.51 thf(c_0_69, negated_conjecture, (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0)))), inference(spm,[status(thm)],[c_0_66, c_0_58])). 0.16/0.51 thf(c_0_70, plain, ![X2:u, X8:d, X9:d, X11:u, X10:u, X14:u, X15:u]:((((s @ X8 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X9 @ X8) @ X2) @ (s @ X9 @ X10)))=(s @ X8 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X9 @ X8) @ X2) @ (s @ X9 @ X11))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X14) @ (s @ X9 @ X10))) @ (s @ X9 @ X11)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X9 @ (tyop_2Emin_2Efun @ X9 @ tyop_2Emin_2Ebool)) @ X14) @ (s @ (tyop_2Emin_2Efun @ X9 @ X8) @ X2) @ (s @ (tyop_2Emin_2Efun @ X8 @ X9) @ X15))))))), inference(split_conjunct,[status(thm)],[c_0_19])). 0.16/0.51 thf(c_0_71, negated_conjecture, (((s @ (tyop_2Emin_2Efun @ esk3_0 @ esk4_0) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ esk3_0 @ esk1_0) @ esk7_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk4_0) @ esk9_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0)))!=(s @ (tyop_2Emin_2Efun @ esk3_0 @ esk4_0) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ esk3_0 @ esk1_0) @ esk7_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk4_0) @ esk9_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0)))))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67, c_0_68])])). 0.16/0.51 thf(c_0_72, negated_conjecture, (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0)))), inference(spm,[status(thm)],[c_0_64, c_0_69])). 0.16/0.51 thf(c_0_73, negated_conjecture, ![X2:u, X10:u]:((((s @ (tyop_2Emin_2Efun @ esk3_0 @ esk4_0) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ esk3_0 @ esk1_0) @ esk7_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk4_0) @ esk9_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ X2)))=(s @ (tyop_2Emin_2Efun @ esk3_0 @ esk4_0) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ esk3_0 @ esk1_0) @ esk7_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk4_0) @ esk9_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ X10))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ (tyop_2Emin_2Efun @ esk1_0 @ tyop_2Emin_2Ebool)) @ esk5_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ (tyop_2Emin_2Efun @ esk2_0 @ tyop_2Emin_2Ebool)) @ esk8_0))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ X2))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ X10))))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70, c_0_52]), c_0_53]), c_0_53])). 0.16/0.51 thf(c_0_74, negated_conjecture, ((s @ (tyop_2Emin_2Efun @ esk3_0 @ esk4_0) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ esk3_0 @ esk1_0) @ esk7_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk4_0) @ esk9_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0)))!=(s @ (tyop_2Emin_2Efun @ esk3_0 @ esk4_0) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ esk3_0 @ esk1_0) @ esk7_0) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk4_0) @ esk9_0) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk11_0)))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71, c_0_72])])). 0.16/0.51 thf(c_0_75, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73, c_0_58]), c_0_74]), ['proof']). 0.16/0.51 % SZS output end CNFRefutation 0.16/0.51 % Parsed axioms : 97 0.16/0.51 % Removed by relevancy pruning/SinE : 80 0.16/0.51 % Initial clauses : 31 0.16/0.51 % Removed in clause preprocessing : 0 0.16/0.51 % Initial clauses in saturation : 31 0.16/0.51 % Processed clauses : 178 0.16/0.51 % ...of these trivial : 1 0.16/0.51 % ...subsumed : 81 0.16/0.51 % ...remaining for further processing : 96 0.16/0.51 % Other redundant clauses eliminated : 0 0.16/0.51 % Clauses deleted for lack of memory : 0 0.16/0.51 % Backward-subsumed : 5 0.16/0.51 % Backward-rewritten : 12 0.16/0.51 % Generated clauses : 853 0.16/0.51 % ...of the previous two non-redundant : 726 0.16/0.51 % ...aggressively subsumed : 0 0.16/0.51 % Contextual simplify-reflections : 2 0.16/0.51 % Paramodulations : 848 0.16/0.51 % Factorizations : 0 0.16/0.51 % NegExts : 0 0.16/0.51 % Equation resolutions : 5 0.16/0.51 % Disequality decompositions : 0 0.16/0.51 % Total rewrite steps : 193 0.16/0.51 % ...of those cached : 56 0.16/0.51 % Propositional unsat checks : 0 0.16/0.51 % Propositional check models : 0 0.16/0.51 % Propositional check unsatisfiable : 0 0.16/0.51 % Propositional clauses : 0 0.16/0.51 % Propositional clauses after purity: 0 0.16/0.51 % Propositional unsat core size : 0 0.16/0.51 % Propositional preprocessing time : 0.000 0.16/0.51 % Propositional encoding time : 0.000 0.16/0.51 % Propositional solver time : 0.000 0.16/0.51 % Success case prop preproc time : 0.000 0.16/0.51 % Success case prop encoding time : 0.000 0.16/0.51 % Success case prop solver time : 0.000 0.16/0.51 % Current number of processed clauses : 55 0.16/0.51 % Positive orientable unit clauses : 21 0.16/0.51 % Positive unorientable unit clauses: 1 0.16/0.51 % Negative unit clauses : 1 0.16/0.51 % Non-unit-clauses : 32 0.16/0.51 % Current number of unprocessed clauses: 595 0.16/0.51 % ...number of literals in the above : 1336 0.16/0.51 % Current number of archived formulas : 0 0.16/0.51 % Current number of archived clauses : 41 0.16/0.51 % Clause-clause subsumption calls (NU) : 585 0.16/0.51 % Rec. Clause-clause subsumption calls : 418 0.16/0.51 % Non-unit clause-clause subsumptions : 84 0.16/0.51 % Unit Clause-clause subsumption calls : 31 0.16/0.51 % Rewrite failures with RHS unbound : 0 0.16/0.51 % BW rewrite match attempts : 134 0.16/0.51 % BW rewrite match successes : 4 0.16/0.51 % Condensation attempts : 0 0.16/0.51 % Condensation successes : 0 0.16/0.51 % Termbank termtop insertions : 74761 0.16/0.51 % Search garbage collected termcells : 1284 0.16/0.51 0.16/0.51 % ------------------------------------------------- 0.16/0.51 % User time : 0.066 s 0.16/0.51 % System time : 0.004 s 0.16/0.51 % Total time : 0.070 s 0.16/0.51 % Maximum resident set size: 4032 pages 0.16/0.51 0.16/0.51 % ------------------------------------------------- 0.16/0.51 % User time : 0.295 s 0.16/0.51 % System time : 0.022 s 0.16/0.51 % Total time : 0.316 s 0.16/0.51 % Maximum resident set size: 4608 pages 0.16/0.51 % E exiting 0.16/0.51 EOF