0.08/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.08/0.13	% Command    : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.13/0.34	% Computer : n004.cluster.edu
0.13/0.34	% Model    : x86_64 x86_64
0.13/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory   : 8042.1875MB
0.13/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 1920
0.13/0.34	% WCLimit    : 240
0.13/0.34	% DateTime   : Wed Jul 30 09:14:04 EDT 2025
0.13/0.34	% CPUTime    : 
0.21/0.48	Running higher-order theorem proving
0.21/0.50	Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=240 /export/starexec/sandbox2/tmp/tmp.cJyrlCDFgB/E---3.1_6609.p
0.36/0.87	# Version: 3.0.0-ho
0.36/0.87	# Preprocessing class: HSLSSLSMSSSNSFA.
0.36/0.87	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.36/0.87	# Starting additional_ho_4 with 1200s (5) cores
0.36/0.87	# Starting pre_casc_8 with 240s (1) cores
0.36/0.87	# Starting pre_casc_5 with 240s (1) cores
0.36/0.87	# Starting pre_casc_6 with 240s (1) cores
0.36/0.87	# additional_ho_4 with pid 6687 completed with status 0
0.36/0.87	# Result found by additional_ho_4
0.36/0.87	# Preprocessing class: HSLSSLSMSSSNSFA.
0.36/0.87	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.36/0.87	# Starting additional_ho_4 with 1200s (5) cores
0.36/0.87	# SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0)
0.36/0.87	# Search class: HGHSM-FFLS32-DSFFFFNN
0.36/0.87	# partial match(2): FGHSM-FFLS32-DFFFFFNN
0.36/0.87	# Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total)
0.36/0.87	# Starting new_ho_10 with 217s (1) cores
0.36/0.87	# Starting additional_ho_4 with 121s (1) cores
0.36/0.87	# Starting ho_unfolding_3 with 217s (1) cores
0.36/0.87	# Starting new_ho_10_cnf2 with 217s (1) cores
0.36/0.87	# Starting pre_casc_2 with 217s (1) cores
0.36/0.87	# additional_ho_4 with pid 6694 completed with status 0
0.36/0.87	# Result found by additional_ho_4
0.36/0.87	# Preprocessing class: HSLSSLSMSSSNSFA.
0.36/0.87	# Scheduled 4 strats onto 8 cores with 240 seconds (1920 total)
0.36/0.87	# Starting additional_ho_4 with 1200s (5) cores
0.36/0.87	# SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0)
0.36/0.87	# Search class: HGHSM-FFLS32-DSFFFFNN
0.36/0.87	# partial match(2): FGHSM-FFLS32-DFFFFFNN
0.36/0.87	# Scheduled 6 strats onto 5 cores with 1200 seconds (1200 total)
0.36/0.87	# Starting new_ho_10 with 217s (1) cores
0.36/0.87	# Starting additional_ho_4 with 121s (1) cores
0.36/0.87	# Preprocessing time       : 0.005 s
0.36/0.87	# Presaturation interreduction done
0.36/0.87	
0.36/0.87	# Proof found!
0.36/0.87	# SZS status Theorem
0.36/0.87	# SZS output start CNFRefutation
0.36/0.87	thf(decl_sort1, type, d: $tType).
0.36/0.87	thf(decl_sort2, type, u: $tType).
0.36/0.87	thf(decl_sort3, type, du: $tType).
0.36/0.87	thf(decl_23, type, tyop_2Emin_2Ebool: d).
0.36/0.87	thf(decl_24, type, tyop_2Emin_2Efun: d > d > d).
0.36/0.87	thf(decl_25, type, s: d > u > du).
0.36/0.87	thf(decl_26, type, app_2E2: du > du > u).
0.36/0.87	thf(decl_32, type, c_2Equotient_2E_2D_2D_3E_2E0: u).
0.36/0.87	thf(decl_33, type, c_2Equotient_2E_2D_2D_3E_2E2: du > du > u).
0.36/0.87	thf(decl_34, type, c_2Equotient_2E_2D_2D_3E_2E3: du > du > du > u).
0.36/0.87	thf(decl_39, type, c_2Equotient_2E_3D_3D_3D_3E_2E0: u).
0.36/0.87	thf(decl_40, type, c_2Equotient_2E_3D_3D_3D_3E_2E2: du > du > u).
0.36/0.87	thf(decl_41, type, c_2Equotient_2E_3D_3D_3D_3E_2E4: du > du > du > du > u).
0.36/0.87	thf(decl_48, type, c_2Equotient_2EQUOTIENT_2E3: du > du > du > u).
0.36/0.87	thf(decl_50, type, c_2Ecombin_2EW_2E0: u).
0.36/0.87	thf(decl_51, type, c_2Ecombin_2EW_2E2: du > du > u).
0.36/0.87	thf(decl_54, type, c_2Equotient_2Erespects_2E0: u).
0.36/0.87	thf(decl_55, type, c_2Equotient_2Erespects_2E2: du > du > u).
0.36/0.87	thf(decl_69, type, j_mono_2Etyop_2Emin_2Ebool: du > $o).
0.36/0.87	thf(decl_72, type, esk1_0: d).
0.36/0.87	thf(decl_73, type, esk2_0: d).
0.36/0.87	thf(decl_74, type, esk3_0: d).
0.36/0.87	thf(decl_75, type, esk4_0: d).
0.36/0.87	thf(decl_76, type, esk5_0: u).
0.36/0.87	thf(decl_77, type, esk6_0: u).
0.36/0.87	thf(decl_78, type, esk7_0: u).
0.36/0.87	thf(decl_79, type, esk8_0: u).
0.36/0.87	thf(decl_80, type, esk9_0: u).
0.36/0.87	thf(decl_81, type, esk10_0: u).
0.36/0.87	thf(decl_82, type, esk11_0: u).
0.36/0.87	thf(decl_83, type, esk12_0: u).
0.36/0.87	thf(arityeq2_2Ec_2Ecombin_2EW_2E2_2Emono_2EA_27a_20mono_2EA_27b, axiom, ![X1:d, X5:d, X2:u, X3:u]:(((s @ X5 @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ X5)) @ X2) @ (s @ X1 @ X3)))=(s @ X5 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ X5)) @ (tyop_2Emin_2Efun @ X1 @ X5)) @ c_2Ecombin_2EW_2E0) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ X5)) @ X2))) @ (s @ X1 @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.cJyrlCDFgB/E---3.1_6609.p', arityeq2_2Ec_2Ecombin_2EW_2E2_2Emono_2EA_27a_20mono_2EA_27b)).
0.36/0.87	thf(thm_2Equotient_2Erespects__def, axiom, ![X1:d, X5:d]:(((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ X5)) @ (tyop_2Emin_2Efun @ X1 @ X5)) @ c_2Equotient_2Erespects_2E0)=(s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ X5)) @ (tyop_2Emin_2Efun @ X1 @ X5)) @ c_2Ecombin_2EW_2E0))), file('/export/starexec/sandbox2/tmp/tmp.cJyrlCDFgB/E---3.1_6609.p', thm_2Equotient_2Erespects__def)).
0.36/0.87	thf(thm_2Equotient_2EFUN__REL__EQ__REL, conjecture, ![X1:d, X5:d, X12:d, X6:d, X19:u, X20:u, X21:u]:((![X22:u, X23:u, X24:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X22) @ (s @ (tyop_2Emin_2Efun @ X5 @ X6) @ X23) @ (s @ (tyop_2Emin_2Efun @ X6 @ X5) @ X24))))=>![X35:u, X36:u]:(((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X19) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X22))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X35))))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X19) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X22))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X36)))))&((s @ (tyop_2Emin_2Efun @ X12 @ X6) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X12 @ X1) @ X21) @ (s @ (tyop_2Emin_2Efun @ X5 @ X6) @ X23) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X35)))=(s @ (tyop_2Emin_2Efun @ X12 @ X6) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X12 @ X1) @ X21) @ (s @ (tyop_2Emin_2Efun @ X5 @ X6) @ X23) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X36)))))<=>(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X19) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X22) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X35) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X36))))))))<=(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X19) @ (s @ (tyop_2Emin_2Efun @ X1 @ X12) @ X20) @ (s @ (tyop_2Emin_2Efun @ X12 @ X1) @ X21)))))), file('/export/starexec/sandbox2/tmp/tmp.cJyrlCDFgB/E---3.1_6609.p', thm_2Equotient_2EFUN__REL__EQ__REL)).
0.36/0.87	thf(arityeq4_2Ec_2Equotient_2E_3D_3D_3D_3E_2E4_2Emono_2EA_27a_20mono_2EA_27b, axiom, ![X1:d, X5:d, X2:u, X3:u, X7:u, X40:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X7) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X40))))<=>(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)))) @ c_2Equotient_2E_3D_3D_3D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2))) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X3))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X7))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X40)))))), file('/export/starexec/sandbox2/tmp/tmp.cJyrlCDFgB/E---3.1_6609.p', arityeq4_2Ec_2Equotient_2E_3D_3D_3D_3E_2E4_2Emono_2EA_27a_20mono_2EA_27b)).
0.36/0.87	thf(arityeq2_2Ec_2Equotient_2E_3D_3D_3D_3E_2E2_2Emono_2EA_27a_20mono_2EA_27b, axiom, ![X1:d, X5:d, X2:u, X3:u]:(((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X3)))=(s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)))) @ c_2Equotient_2E_3D_3D_3D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2))) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.cJyrlCDFgB/E---3.1_6609.p', arityeq2_2Ec_2Equotient_2E_3D_3D_3D_3E_2E2_2Emono_2EA_27a_20mono_2EA_27b)).
0.36/0.87	thf(arityeq2_2Ec_2Equotient_2Erespects_2E2_2Emono_2Etyop_2Emin_2Efun_28A_27a_2CA_27b_29_20mono_2Etyop_2Emin_2Ebool, axiom, ![X1:d, X5:d, X2:u, X3:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X3))))<=>(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ c_2Equotient_2Erespects_2E0) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ X2))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X3)))))), file('/export/starexec/sandbox2/tmp/tmp.cJyrlCDFgB/E---3.1_6609.p', arityeq2_2Ec_2Equotient_2Erespects_2E2_2Emono_2Etyop_2Emin_2Efun_28A_27a_2CA_27b_29_20mono_2Etyop_2Emin_2Ebool)).
0.36/0.87	thf(thm_2Equotient_2EQUOTIENT__REL, axiom, ![X1:d, X5:d, X28:u, X29:u, X30:u]:((![X31:u, X32:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X28) @ (s @ X1 @ X31))) @ (s @ X1 @ X32))))<=>(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X28) @ (s @ X1 @ X32))) @ (s @ X1 @ X32))))&((s @ X5 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X29) @ (s @ X1 @ X31)))=(s @ X5 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X29) @ (s @ X1 @ X32)))))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X28) @ (s @ X1 @ X31))) @ (s @ X1 @ X31)))))))<=(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X28) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X29) @ (s @ (tyop_2Emin_2Efun @ X5 @ X1) @ X30)))))), file('/export/starexec/sandbox2/tmp/tmp.cJyrlCDFgB/E---3.1_6609.p', thm_2Equotient_2EQUOTIENT__REL)).
0.36/0.87	thf(thm_2Equotient_2EFUN__QUOTIENT, axiom, ![X1:d, X5:d, X12:d, X6:d, X19:u, X20:u, X21:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X19) @ (s @ (tyop_2Emin_2Efun @ X1 @ X12) @ X20) @ (s @ (tyop_2Emin_2Efun @ X12 @ X1) @ X21))))=>![X22:u, X23:u, X24:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X22) @ (s @ (tyop_2Emin_2Efun @ X5 @ X6) @ X23) @ (s @ (tyop_2Emin_2Efun @ X6 @ X5) @ X24))))=>(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X19) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X22))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ X12 @ X6)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X12 @ X1) @ X21) @ (s @ (tyop_2Emin_2Efun @ X5 @ X6) @ X23))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X12 @ X6) @ (tyop_2Emin_2Efun @ X1 @ X5)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X12) @ X20) @ (s @ (tyop_2Emin_2Efun @ X6 @ X5) @ X24)))))))))), file('/export/starexec/sandbox2/tmp/tmp.cJyrlCDFgB/E---3.1_6609.p', thm_2Equotient_2EFUN__QUOTIENT)).
0.36/0.87	thf(thm_2Ecombin_2EW__THM, axiom, ![X1:d, X5:d, X8:u, X11:u]:(((s @ X5 @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ X5)) @ X8) @ (s @ X1 @ X11)))=(s @ X5 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ X5)) @ X8) @ (s @ X1 @ X11))) @ (s @ X1 @ X11))))), file('/export/starexec/sandbox2/tmp/tmp.cJyrlCDFgB/E---3.1_6609.p', thm_2Ecombin_2EW__THM)).
0.36/0.87	thf(arityeq3_2Ec_2Equotient_2E_2D_2D_3E_2E3_2Emono_2EA_27c_20mono_2EA_27b_20mono_2EA_27a_20mono_2EA_27d, axiom, ![X1:d, X5:d, X12:d, X6:d, X2:u, X3:u, X7:u]:(((s @ (tyop_2Emin_2Efun @ X12 @ X6) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X12 @ X1) @ X2) @ (s @ (tyop_2Emin_2Efun @ X5 @ X6) @ X3) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X7)))=(s @ (tyop_2Emin_2Efun @ X12 @ X6) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ X12 @ X6)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X6) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ X12 @ X6))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X12 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X6) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ X12 @ X6)))) @ c_2Equotient_2E_2D_2D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X12 @ X1) @ X2))) @ (s @ (tyop_2Emin_2Efun @ X5 @ X6) @ X3))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X7))))), file('/export/starexec/sandbox2/tmp/tmp.cJyrlCDFgB/E---3.1_6609.p', arityeq3_2Ec_2Equotient_2E_2D_2D_3E_2E3_2Emono_2EA_27c_20mono_2EA_27b_20mono_2EA_27a_20mono_2EA_27d)).
0.36/0.87	thf(arityeq2_2Ec_2Equotient_2E_2D_2D_3E_2E2_2Emono_2EA_27a_20mono_2EA_27d_20mono_2EA_27c_20mono_2EA_27b, axiom, ![X1:d, X5:d, X12:d, X6:d, X2:u, X3:u]:(((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X12 @ X6) @ (tyop_2Emin_2Efun @ X1 @ X5)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X12) @ X2) @ (s @ (tyop_2Emin_2Efun @ X6 @ X5) @ X3)))=(s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X12 @ X6) @ (tyop_2Emin_2Efun @ X1 @ X5)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X12 @ X6) @ (tyop_2Emin_2Efun @ X1 @ X5))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X12) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X12 @ X6) @ (tyop_2Emin_2Efun @ X1 @ X5)))) @ c_2Equotient_2E_2D_2D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X1 @ X12) @ X2))) @ (s @ (tyop_2Emin_2Efun @ X6 @ X5) @ X3))))), file('/export/starexec/sandbox2/tmp/tmp.cJyrlCDFgB/E---3.1_6609.p', arityeq2_2Ec_2Equotient_2E_2D_2D_3E_2E2_2Emono_2EA_27a_20mono_2EA_27d_20mono_2EA_27c_20mono_2EA_27b)).
0.36/0.87	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])).
0.36/0.87	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])).
0.36/0.87	thf(c_0_13, negated_conjecture, ~(![X1:d, X5:d, X12:d, X6:d, X19:u, X20:u, X21:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X19) @ (s @ (tyop_2Emin_2Efun @ X1 @ X12) @ X20) @ (s @ (tyop_2Emin_2Efun @ X12 @ X1) @ X21))))=>![X22:u, X23:u, X24:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X22) @ (s @ (tyop_2Emin_2Efun @ X5 @ X6) @ X23) @ (s @ (tyop_2Emin_2Efun @ X6 @ X5) @ X24))))=>![X35:u, X36:u]:(((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X19) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X22))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X35))))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X19) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X22))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X36)))))&((s @ (tyop_2Emin_2Efun @ X12 @ X6) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X12 @ X1) @ X21) @ (s @ (tyop_2Emin_2Efun @ X5 @ X6) @ X23) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X35)))=(s @ (tyop_2Emin_2Efun @ X12 @ X6) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X12 @ X1) @ X21) @ (s @ (tyop_2Emin_2Efun @ X5 @ X6) @ X23) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X36)))))<=>(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X19) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X22) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X35) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X36))))))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[thm_2Equotient_2EFUN__REL__EQ__REL])])).
0.36/0.87	thf(c_0_14, 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])])])).
0.36/0.87	thf(c_0_15, plain, ![X216:d, X217:d, X218:u, X219:u]:(((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X216 @ X217) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X216 @ X217) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X216 @ (tyop_2Emin_2Efun @ X216 @ tyop_2Emin_2Ebool)) @ X218) @ (s @ (tyop_2Emin_2Efun @ X217 @ (tyop_2Emin_2Efun @ X217 @ tyop_2Emin_2Ebool)) @ X219)))=(s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X216 @ X217) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X216 @ X217) @ tyop_2Emin_2Ebool)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X217 @ (tyop_2Emin_2Efun @ X217 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X216 @ X217) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X216 @ X217) @ tyop_2Emin_2Ebool))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X216 @ (tyop_2Emin_2Efun @ X216 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X217 @ (tyop_2Emin_2Efun @ X217 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X216 @ X217) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X216 @ X217) @ tyop_2Emin_2Ebool)))) @ c_2Equotient_2E_3D_3D_3D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X216 @ (tyop_2Emin_2Efun @ X216 @ tyop_2Emin_2Ebool)) @ X218))) @ (s @ (tyop_2Emin_2Efun @ X217 @ (tyop_2Emin_2Efun @ X217 @ tyop_2Emin_2Ebool)) @ X219))))), inference(variable_rename,[status(thm)],[arityeq2_2Ec_2Equotient_2E_3D_3D_3D_3E_2E2_2Emono_2EA_27a_20mono_2EA_27b])).
0.36/0.87	thf(c_0_16, plain, ![X212:d, X213:d, X214:u, X215:u]:(((~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X212 @ X213) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X212 @ X213) @ tyop_2Emin_2Ebool)) @ X214) @ (s @ (tyop_2Emin_2Efun @ X212 @ X213) @ X215))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X212 @ X213) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X212 @ X213) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X212 @ X213) @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X212 @ X213) @ tyop_2Emin_2Ebool)) @ c_2Equotient_2Erespects_2E0) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X212 @ X213) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X212 @ X213) @ tyop_2Emin_2Ebool)) @ X214))) @ (s @ (tyop_2Emin_2Efun @ X212 @ X213) @ X215)))))&(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X212 @ X213) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X212 @ X213) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X212 @ X213) @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X212 @ X213) @ tyop_2Emin_2Ebool)) @ c_2Equotient_2Erespects_2E0) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X212 @ X213) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X212 @ X213) @ tyop_2Emin_2Ebool)) @ X214))) @ (s @ (tyop_2Emin_2Efun @ X212 @ X213) @ X215))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X212 @ X213) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X212 @ X213) @ tyop_2Emin_2Ebool)) @ X214) @ (s @ (tyop_2Emin_2Efun @ X212 @ X213) @ X215))))))), 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])])])).
0.36/0.87	thf(c_0_17, plain, ![X1:d, X2:u, X5:d, X3:u]:(((s @ X1 @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ X1)) @ X2) @ (s @ X5 @ X3)))=(s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X5 @ X1) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ X1)) @ (tyop_2Emin_2Efun @ X5 @ X1)) @ c_2Ecombin_2EW_2E0) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ X1)) @ X2))) @ (s @ X5 @ X3))))), inference(split_conjunct,[status(thm)],[c_0_11])).
0.36/0.87	thf(c_0_18, plain, ![X1:d, X5:d]:(((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ X5)) @ (tyop_2Emin_2Efun @ X1 @ X5)) @ c_2Equotient_2Erespects_2E0)=(s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ X5)) @ (tyop_2Emin_2Efun @ X1 @ X5)) @ c_2Ecombin_2EW_2E0))), inference(split_conjunct,[status(thm)],[c_0_12])).
0.36/0.87	thf(c_0_19, plain, ![X1:d, X5:d, X28:u, X29:u, X30:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X28) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X29) @ (s @ (tyop_2Emin_2Efun @ X5 @ X1) @ X30))))=>![X31:u, X32:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X28) @ (s @ X1 @ X31))) @ (s @ X1 @ X32))))<=>(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X28) @ (s @ X1 @ X32))) @ (s @ X1 @ X32))))&((s @ X5 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X29) @ (s @ X1 @ X31)))=(s @ X5 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X29) @ (s @ X1 @ X32)))))&(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X28) @ (s @ X1 @ X31))) @ (s @ X1 @ X31))))))))), inference(fof_simplification,[status(thm)],[thm_2Equotient_2EQUOTIENT__REL])).
0.36/0.87	thf(c_0_20, plain, ![X182:d, X183:d, X184:d, X185:d, X186:u, X187:u, X188:u, X189:u, X190:u, X191:u]:((~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X182 @ (tyop_2Emin_2Efun @ X182 @ tyop_2Emin_2Ebool)) @ X186) @ (s @ (tyop_2Emin_2Efun @ X182 @ X184) @ X187) @ (s @ (tyop_2Emin_2Efun @ X184 @ X182) @ X188))))|(~(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X183 @ (tyop_2Emin_2Efun @ X183 @ tyop_2Emin_2Ebool)) @ X189) @ (s @ (tyop_2Emin_2Efun @ X183 @ X185) @ X190) @ (s @ (tyop_2Emin_2Efun @ X185 @ X183) @ X191))))|(j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X182 @ X183) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X182 @ X183) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X182 @ (tyop_2Emin_2Efun @ X182 @ tyop_2Emin_2Ebool)) @ X186) @ (s @ (tyop_2Emin_2Efun @ X183 @ (tyop_2Emin_2Efun @ X183 @ tyop_2Emin_2Ebool)) @ X189))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X182 @ X183) @ (tyop_2Emin_2Efun @ X184 @ X185)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X184 @ X182) @ X188) @ (s @ (tyop_2Emin_2Efun @ X183 @ X185) @ X190))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X184 @ X185) @ (tyop_2Emin_2Efun @ X182 @ X183)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X182 @ X184) @ X187) @ (s @ (tyop_2Emin_2Efun @ X185 @ X183) @ X191))))))))), inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm_2Equotient_2EFUN__QUOTIENT])])])])).
0.36/0.87	thf(c_0_21, 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))))&((~(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))))|((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) @ 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)))))&((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))))))&(((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(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])])).
0.36/0.87	thf(c_0_22, plain, ![X2:u, X1:d, X4:u, X3:u, X5:d, X7:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X4) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X7))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)))) @ c_2Equotient_2E_3D_3D_3D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2))) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X3))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X4))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X7))))))), inference(split_conjunct,[status(thm)],[c_0_14])).
0.36/0.87	thf(c_0_23, plain, ![X1:d, X2:u, X5:d, X3:u]:(((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X3)))=(s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)))) @ c_2Equotient_2E_3D_3D_3D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2))) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X3))))), inference(split_conjunct,[status(thm)],[c_0_15])).
0.36/0.87	thf(c_0_24, 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])).
0.36/0.87	thf(c_0_25, plain, ![X1:d, X2:u, X5:d, X3:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ c_2Equotient_2Erespects_2E0) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ X2))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X3))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X3))))))), inference(split_conjunct,[status(thm)],[c_0_16])).
0.36/0.87	thf(c_0_26, plain, ![X1:d, X2:u, X5:d, X3:u]:(((s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X5 @ X1) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ X1)) @ (tyop_2Emin_2Efun @ X5 @ X1)) @ c_2Equotient_2Erespects_2E0) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ X1)) @ X2))) @ (s @ X5 @ X3)))=(s @ X1 @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ X1)) @ X2) @ (s @ X5 @ X3))))), inference(rw,[status(thm)],[c_0_17, c_0_18])).
0.36/0.87	thf(c_0_27, 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_19])])])])])).
0.36/0.87	thf(c_0_28, plain, ![X2:u, X1:d, X3:u, X4:u, X5:d, X7:u, X6:d, X8:u, X12:d, X9:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X6) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X6) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X6 @ (tyop_2Emin_2Efun @ X6 @ tyop_2Emin_2Ebool)) @ X7))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X6) @ (tyop_2Emin_2Efun @ X5 @ X12)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X5 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X6 @ X12) @ X8))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X12) @ (tyop_2Emin_2Efun @ X1 @ X6)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X3) @ (s @ (tyop_2Emin_2Efun @ X12 @ X6) @ X9))))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X3) @ (s @ (tyop_2Emin_2Efun @ X5 @ X1) @ X4)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X6 @ (tyop_2Emin_2Efun @ X6 @ tyop_2Emin_2Ebool)) @ X7) @ (s @ (tyop_2Emin_2Efun @ X6 @ X12) @ X8) @ (s @ (tyop_2Emin_2Efun @ X12 @ X6) @ X9))))))), inference(split_conjunct,[status(thm)],[c_0_20])).
0.36/0.87	thf(c_0_29, 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_21])).
0.36/0.87	thf(c_0_30, plain, ![X2:u, X1:d, X4:u, X3:u, X5:d, X7:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X4) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X7))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X3))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X4))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X7))))))), inference(rw,[status(thm)],[c_0_22, c_0_23])).
0.36/0.87	thf(c_0_31, plain, ![X1:d, X2:u, X5:d, X3:u]:(((s @ X1 @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ X1)) @ X2) @ (s @ X5 @ X3)))=(s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X5 @ X1) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ X1)) @ X2) @ (s @ X5 @ X3))) @ (s @ X5 @ X3))))), inference(split_conjunct,[status(thm)],[c_0_24])).
0.36/0.87	thf(c_0_32, plain, ![X1:d, X2:u, X5:d, X3:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X3))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X3))))))), inference(rw,[status(thm)],[c_0_25, c_0_26])).
0.36/0.87	thf(c_0_33, 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_21])).
0.36/0.87	thf(c_0_34, plain, ![X3:u, X2:u, X1:d, X5:d, X4:u, X7:u, X8:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X1 @ X3))) @ (s @ X1 @ X3))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X1 @ X3))) @ (s @ X1 @ X4)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X7) @ (s @ (tyop_2Emin_2Efun @ X5 @ X1) @ X8))))))), inference(split_conjunct,[status(thm)],[c_0_27])).
0.36/0.87	thf(c_0_35, negated_conjecture, ![X2:u, X1:d, X5:d, X4:u, X3:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ esk2_0) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ esk2_0) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ 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 @ X1 @ esk2_0) @ (tyop_2Emin_2Efun @ X5 @ esk4_0)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X5 @ X1) @ X3) @ (s @ (tyop_2Emin_2Efun @ esk2_0 @ esk4_0) @ esk9_0))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ esk4_0) @ (tyop_2Emin_2Efun @ X1 @ esk2_0)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X4) @ (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 @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X4) @ (s @ (tyop_2Emin_2Efun @ X5 @ X1) @ X3))))))), inference(spm,[status(thm)],[c_0_28, c_0_29])).
0.36/0.87	thf(c_0_36, 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_21])).
0.36/0.87	thf(c_0_37, plain, ![X2:u, X1:d, X4:u, X3:u, X5:d, X7:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)))) @ c_2Equotient_2E_3D_3D_3D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2))) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X3))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X4))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X7))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X4) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X7))))))), inference(split_conjunct,[status(thm)],[c_0_14])).
0.36/0.87	thf(c_0_38, plain, ![X1:d, X2:u, X3:u, X5:d, X4:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X4) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X4))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X3))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X4))))))), inference(spm,[status(thm)],[c_0_30, c_0_31])).
0.36/0.87	thf(c_0_39, 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_32, c_0_33])).
0.36/0.87	thf(c_0_40, plain, ![X3:u, X2:u, X1:d, X5:d, X4:u, X7:u, X8:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X1 @ X3))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X1 @ X3))) @ (s @ X1 @ X4)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X7) @ (s @ (tyop_2Emin_2Efun @ X5 @ X1) @ X8))))))), inference(rw,[status(thm)],[c_0_34, c_0_31])).
0.36/0.87	thf(c_0_41, 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_35, c_0_36])).
0.36/0.87	thf(c_0_42, plain, ![X2:u, X1:d, X4:u, X3:u, X5:d, X7:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ (c_2Equotient_2E_3D_3D_3D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X3))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X4))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X7))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2E_3D_3D_3D_3E_2E4 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X3) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X4) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X7))))))), inference(rw,[status(thm)],[c_0_37, c_0_23])).
0.36/0.87	thf(c_0_43, 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))))|(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) @ esk11_0))))), inference(spm,[status(thm)],[c_0_38, c_0_39])).
0.36/0.87	thf(c_0_44, negated_conjecture, ![X2:u, X3: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) @ X3))))))), inference(spm,[status(thm)],[c_0_40, c_0_41])).
0.36/0.87	thf(c_0_45, 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))))|(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) @ esk11_0))))), inference(spm,[status(thm)],[c_0_42, c_0_43])).
0.36/0.87	thf(c_0_46, plain, ![X205:d, X206:d, X207:d, X208:d, X209:u, X210:u, X211:u]:(((s @ (tyop_2Emin_2Efun @ X207 @ X208) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X207 @ X205) @ X209) @ (s @ (tyop_2Emin_2Efun @ X206 @ X208) @ X210) @ (s @ (tyop_2Emin_2Efun @ X205 @ X206) @ X211)))=(s @ (tyop_2Emin_2Efun @ X207 @ X208) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X205 @ X206) @ (tyop_2Emin_2Efun @ X207 @ X208)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X206 @ X208) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X205 @ X206) @ (tyop_2Emin_2Efun @ X207 @ X208))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X207 @ X205) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X206 @ X208) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X205 @ X206) @ (tyop_2Emin_2Efun @ X207 @ X208)))) @ c_2Equotient_2E_2D_2D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X207 @ X205) @ X209))) @ (s @ (tyop_2Emin_2Efun @ X206 @ X208) @ X210))) @ (s @ (tyop_2Emin_2Efun @ X205 @ X206) @ X211))))), 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])).
0.36/0.87	thf(c_0_47, plain, ![X220:d, X221:d, X222:d, X223:d, X224:u, X225:u]:(((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X222 @ X223) @ (tyop_2Emin_2Efun @ X220 @ X221)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X220 @ X222) @ X224) @ (s @ (tyop_2Emin_2Efun @ X223 @ X221) @ X225)))=(s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X222 @ X223) @ (tyop_2Emin_2Efun @ X220 @ X221)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X223 @ X221) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X222 @ X223) @ (tyop_2Emin_2Efun @ X220 @ X221))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X220 @ X222) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X223 @ X221) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X222 @ X223) @ (tyop_2Emin_2Efun @ X220 @ X221)))) @ c_2Equotient_2E_2D_2D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X220 @ X222) @ X224))) @ (s @ (tyop_2Emin_2Efun @ X223 @ X221) @ X225))))), inference(variable_rename,[status(thm)],[arityeq2_2Ec_2Equotient_2E_2D_2D_3E_2E2_2Emono_2EA_27a_20mono_2EA_27d_20mono_2EA_27c_20mono_2EA_27b])).
0.36/0.87	thf(c_0_48, plain, ![X3:u, X2:u, X1:d, X5:d, X4:u, X7:u, X8:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X1 @ X7))) @ (s @ X1 @ X3))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X1 @ X3))) @ (s @ X1 @ X3)))))|((s @ X5 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X4) @ (s @ X1 @ X7)))!=(s @ X5 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X4) @ (s @ X1 @ X3))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X1 @ X7))) @ (s @ X1 @ X7)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X4) @ (s @ (tyop_2Emin_2Efun @ X5 @ X1) @ X8))))))), inference(split_conjunct,[status(thm)],[c_0_27])).
0.36/0.87	thf(c_0_49, 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) @ esk11_0)))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44, c_0_45]), c_0_38])).
0.36/0.87	thf(c_0_50, plain, ![X1:d, X2:u, X3:u, X5:d, X12:d, X6:d, X4:u]:(((s @ (tyop_2Emin_2Efun @ X1 @ X5) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ X6) @ X2) @ (s @ (tyop_2Emin_2Efun @ X12 @ X5) @ X3) @ (s @ (tyop_2Emin_2Efun @ X6 @ X12) @ X4)))=(s @ (tyop_2Emin_2Efun @ X1 @ X5) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X12) @ (tyop_2Emin_2Efun @ X1 @ X5)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X12 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X12) @ (tyop_2Emin_2Efun @ X1 @ X5))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X6) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X12 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X12) @ (tyop_2Emin_2Efun @ X1 @ X5)))) @ c_2Equotient_2E_2D_2D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X1 @ X6) @ X2))) @ (s @ (tyop_2Emin_2Efun @ X12 @ X5) @ X3))) @ (s @ (tyop_2Emin_2Efun @ X6 @ X12) @ X4))))), inference(split_conjunct,[status(thm)],[c_0_46])).
0.36/0.87	thf(c_0_51, plain, ![X1:d, X2:u, X5:d, X12:d, X6:d, X3:u]:(((s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ X6 @ X12)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X6 @ X1) @ X2) @ (s @ (tyop_2Emin_2Efun @ X5 @ X12) @ X3)))=(s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ X6 @ X12)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X12) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ X6 @ X12))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X1) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X5 @ X12) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ X6 @ X12)))) @ c_2Equotient_2E_2D_2D_3E_2E0) @ (s @ (tyop_2Emin_2Efun @ X6 @ X1) @ X2))) @ (s @ (tyop_2Emin_2Efun @ X5 @ X12) @ X3))))), inference(split_conjunct,[status(thm)],[c_0_47])).
0.36/0.87	thf(c_0_52, plain, ![X1:d, X2:u, X5:d, X3:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X3))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ c_2Equotient_2Erespects_2E0) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ X2))) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X3))))))), inference(split_conjunct,[status(thm)],[c_0_16])).
0.36/0.87	thf(c_0_53, plain, ![X1:d, X3:u, X2:u, X8:u, X7:u, X5:d, X4:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X1 @ X3))) @ (s @ X1 @ X4))))|((s @ X5 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X7) @ (s @ X1 @ X4)))!=(s @ X5 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X7) @ (s @ X1 @ X3))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X7) @ (s @ (tyop_2Emin_2Efun @ X5 @ X1) @ X8)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X1 @ X3)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X1 @ X4))))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48, c_0_31]), c_0_31])).
0.36/0.87	thf(c_0_54, 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_49]), c_0_31])).
0.36/0.87	thf(c_0_55, 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_21])).
0.36/0.87	thf(c_0_56, plain, ![X1:d, X3:u, X4:u, X2:u, X5:d, X7:u, X8:u]:((((s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X5 @ X1) @ X2) @ (s @ X5 @ X3)))=(s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X5 @ X1) @ X2) @ (s @ X5 @ X4))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X7) @ (s @ X5 @ X3))) @ (s @ X5 @ X4)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X5 @ (tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool)) @ X7) @ (s @ (tyop_2Emin_2Efun @ X5 @ X1) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X8))))))), inference(split_conjunct,[status(thm)],[c_0_27])).
0.36/0.87	thf(c_0_57, plain, ![X1:d, X2:u, X3:u, X5:d, X12:d, X6:d, X4:u]:(((s @ (tyop_2Emin_2Efun @ X1 @ X5) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X6 @ X12) @ (tyop_2Emin_2Efun @ X1 @ X5)) @ (c_2Equotient_2E_2D_2D_3E_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ X6) @ X2) @ (s @ (tyop_2Emin_2Efun @ X12 @ X5) @ X3))) @ (s @ (tyop_2Emin_2Efun @ X6 @ X12) @ X4)))=(s @ (tyop_2Emin_2Efun @ X1 @ X5) @ (c_2Equotient_2E_2D_2D_3E_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ X6) @ X2) @ (s @ (tyop_2Emin_2Efun @ X12 @ X5) @ X3) @ (s @ (tyop_2Emin_2Efun @ X6 @ X12) @ X4))))), inference(rw,[status(thm)],[c_0_50, c_0_51])).
0.36/0.87	thf(c_0_58, 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_21])).
0.36/0.87	thf(c_0_59, plain, ![X1:d, X2:u, X5:d, X3:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2Erespects_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X3))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ X1 @ X5) @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X3))))))), inference(rw,[status(thm)],[c_0_52, c_0_26])).
0.36/0.87	thf(c_0_60, negated_conjecture, ![X1:d, X4:u, X3: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))))|((s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ X1) @ X3) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ X2)))!=(s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ X1) @ X3) @ (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) @ X1) @ X3) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0)) @ X4)))))|~((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_53, c_0_54])).
0.36/0.87	thf(c_0_61, 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_32, c_0_55])).
0.36/0.87	thf(c_0_62, negated_conjecture, ![X2:u, X3: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) @ X3))))|~((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) @ X3))))))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56, c_0_41]), c_0_57]), c_0_57])).
0.36/0.87	thf(c_0_63, 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_42, c_0_58])).
0.36/0.87	thf(c_0_64, plain, ![X3:u, X2:u, X1:d, X5:d, X4:u, X7:u, X8:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X1 @ X3))) @ (s @ X1 @ X3))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X1 @ X4))) @ (s @ X1 @ X3)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X7) @ (s @ (tyop_2Emin_2Efun @ X5 @ X1) @ X8))))))), inference(split_conjunct,[status(thm)],[c_0_27])).
0.36/0.87	thf(c_0_65, 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_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)))))|((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_21])).
0.36/0.87	thf(c_0_66, 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_59, c_0_54])).
0.36/0.87	thf(c_0_67, negated_conjecture, ![X1:d, X2:u, X3: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 @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ X1) @ X2) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ esk12_0)))!=(s @ X1 @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ X1) @ 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) @ X1) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0)) @ X3))))))), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60, c_0_61]), c_0_42])).
0.36/0.87	thf(c_0_68, 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(spm,[status(thm)],[c_0_62, c_0_63])).
0.36/0.87	thf(c_0_69, plain, ![X3:u, X2:u, X1:d, X5:d, X4:u, X7:u, X8:u]:(((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ecombin_2EW_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X1 @ X3))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ X1 @ X4))) @ (s @ X1 @ X3)))))|~((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Equotient_2EQUOTIENT_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool)) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ X5) @ X7) @ (s @ (tyop_2Emin_2Efun @ X5 @ X1) @ X8))))))), inference(rw,[status(thm)],[c_0_64, c_0_31])).
0.36/0.87	thf(c_0_70, 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) @ 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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65, c_0_66])])).
0.36/0.87	thf(c_0_71, 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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67, c_0_41]), c_0_57]), c_0_68]), c_0_57])])).
0.36/0.87	thf(c_0_72, negated_conjecture, ![X3: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) @ X3))) @ (s @ (tyop_2Emin_2Efun @ esk1_0 @ esk2_0) @ X2))))))), inference(spm,[status(thm)],[c_0_69, c_0_41])).
0.36/0.87	thf(c_0_73, 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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70, c_0_68])])).
0.36/0.87	thf(c_0_74, 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_30, c_0_71])).
0.36/0.87	thf(c_0_75, 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_72, c_0_71])).
0.36/0.87	thf(c_0_76, 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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73, c_0_74])])).
0.36/0.87	thf(c_0_77, negated_conjecture, ($false), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59, c_0_75]), c_0_76]), ['proof']).
0.36/0.87	# SZS output end CNFRefutation
0.36/0.87	# Parsed axioms                        : 97
0.36/0.87	# Removed by relevancy pruning/SinE    : 80
0.36/0.87	# Initial clauses                      : 31
0.36/0.87	# Removed in clause preprocessing      : 0
0.36/0.87	# Initial clauses in saturation        : 31
0.36/0.87	# Processed clauses                    : 845
0.36/0.87	# ...of these trivial                  : 8
0.36/0.87	# ...subsumed                          : 643
0.36/0.87	# ...remaining for further processing  : 194
0.36/0.87	# Other redundant clauses eliminated   : 0
0.36/0.87	# Clauses deleted for lack of memory   : 0
0.36/0.87	# Backward-subsumed                    : 6
0.36/0.87	# Backward-rewritten                   : 21
0.36/0.87	# Generated clauses                    : 6286
0.36/0.87	# ...of the previous two non-redundant : 5915
0.36/0.87	# ...aggressively subsumed             : 0
0.36/0.87	# Contextual simplify-reflections      : 3
0.36/0.87	# Paramodulations                      : 6271
0.36/0.87	# Factorizations                       : 0
0.36/0.87	# NegExts                              : 0
0.36/0.87	# Equation resolutions                 : 15
0.36/0.87	# Disequality decompositions           : 0
0.36/0.87	# Total rewrite steps                  : 562
0.36/0.87	# ...of those cached                   : 165
0.36/0.87	# Propositional unsat checks           : 0
0.36/0.87	#    Propositional check models        : 0
0.36/0.87	#    Propositional check unsatisfiable : 0
0.36/0.87	#    Propositional clauses             : 0
0.36/0.87	#    Propositional clauses after purity: 0
0.36/0.87	#    Propositional unsat core size     : 0
0.36/0.87	#    Propositional preprocessing time  : 0.000
0.36/0.87	#    Propositional encoding time       : 0.000
0.36/0.87	#    Propositional solver time         : 0.000
0.36/0.87	#    Success case prop preproc time    : 0.000
0.36/0.87	#    Success case prop encoding time   : 0.000
0.36/0.87	#    Success case prop solver time     : 0.000
0.36/0.87	# Current number of processed clauses  : 143
0.36/0.87	#    Positive orientable unit clauses  : 31
0.36/0.87	#    Positive unorientable unit clauses: 6
0.36/0.87	#    Negative unit clauses             : 1
0.36/0.87	#    Non-unit-clauses                  : 105
0.36/0.87	# Current number of unprocessed clauses: 5120
0.36/0.87	# ...number of literals in the above   : 10914
0.36/0.87	# Current number of archived formulas  : 0
0.36/0.87	# Current number of archived clauses   : 51
0.36/0.87	# Clause-clause subsumption calls (NU) : 6240
0.36/0.87	# Rec. Clause-clause subsumption calls : 5783
0.36/0.87	# Non-unit clause-clause subsumptions  : 645
0.36/0.87	# Unit Clause-clause subsumption calls : 173
0.36/0.87	# Rewrite failures with RHS unbound    : 0
0.36/0.87	# BW rewrite match attempts            : 745
0.36/0.87	# BW rewrite match successes           : 10
0.36/0.87	# Condensation attempts                : 0
0.36/0.87	# Condensation successes               : 0
0.36/0.87	# Termbank termtop insertions          : 629324
0.36/0.87	# Search garbage collected termcells   : 1286
0.36/0.87	
0.36/0.87	# -------------------------------------------------
0.36/0.87	# User time                : 0.332 s
0.36/0.87	# System time              : 0.013 s
0.36/0.87	# Total time               : 0.344 s
0.36/0.87	# Maximum resident set size: 2288 pages
0.36/0.87	
0.36/0.87	# -------------------------------------------------
0.36/0.87	# User time                : 1.649 s
0.36/0.87	# System time              : 0.057 s
0.36/0.87	# Total time               : 1.706 s
0.36/0.87	# Maximum resident set size: 1916 pages
0.36/0.87	% E exiting
0.36/0.87	% E exiting
0.36/0.87	EOF