0.00/0.01	% Leo-III: Strategy 1 (for '60')
20.64/10.30	% [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
20.64/10.30	% [INFO] 	 Parsing done (204ms). 
20.64/10.30	% [INFO] 	 Running in sequential loop mode. 
20.64/10.30	% [CONFIG] 	 Using configuration: timeout(60) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(10),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)> 
20.64/10.30	% [INFO] 	 eprover registered as external prover. 
20.64/10.30	% [INFO] 	 cvc4 registered as external prover. 
20.64/10.30	% [INFO] 	 Parsing finished. Scanning for conjecture ... 
20.64/10.30	% [INFO] 	 Found a conjecture and 85 axioms. Running axiom selection ... 
20.64/10.30	% [INFO] 	 Axiom selection finished. Selected 68 axioms (removed 17 axioms). 
20.64/10.30	% [INFO] 	 Problem is higher-order (TPTP THF). 
20.64/10.30	% [INFO] 	 Type checking passed. Searching for refutation ... 
20.64/10.30	% External prover 'e' found a proof!
20.64/10.30	% [INFO] 	 Killing All external provers ... 
20.64/10.30	% Time passed: 3972ms (effective reasoning time: 3409ms)
20.64/10.30	% Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(10),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
20.64/10.30	% Axioms used in derivation (68): ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29, ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29, ji_2Emono_2Etyop_2Emin_2Ebool, reserved_2Equant_2E_21, monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29, ij_2Emono_2Etyop_2Einteger_2Eint, arityeq1_2Ec_2Ewords_2Edimword_2E1_2Emono_2EA_27a, thm_2Eprim__rec_2ENOT__LESS__0, monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool, ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29, ij_2Emono_2Etyop_2Emin_2Ebool, thm_2Ewords_2EWORD__NEG__0, ji_2Emono_2Etyop_2Enum_2Enum, ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29, monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum, thm_2Ebool_2EREFL__CLAUSE, ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29, ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29, ji_2Emono_2Etyop_2Einteger_2Eint, monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint, ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29, reserved_2Equant_2E_3F, ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29, reserved_2Eho_2Ei__thm, reserved_2Eho_2Es__thm, thm_2Ebool_2EFALSITY, reserved_2Elogic_2E_3D, arityeq1_2Ec_2Ewords_2Eword__2comp_2E1_2Emono_2EA_27a, monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Einteger_2Eint, ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29, ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29, thm_2Ebool_2ECOND__CONG, arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a, ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29, thm_2Einteger_2EINT__NEG__0, ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29, arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a, ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29, arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2CA_27a_29, thm_2Ebool_2ETRUTH, ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29, monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool, arityeq1_2Ec_2Einteger__word_2Ei2w_2E1_2Emono_2EA_27a, reserved_2Eho_2Ek__thm, arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a, monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29, ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29, thm_2Einteger_2EINT__LT__CALCULATE, arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2EA_27a, ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29, ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29, monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Enum_2Enum, reserved_2Eho_2Eeq__ext, ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29, monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29, ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29, ij_2Emono_2Etyop_2Enum_2Enum, arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a, thm_2Einteger__word_2Ei2w__def, thm_2Ebool_2EEQ__SYM__EQ, ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29, monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool, thm_2Einteger_2ENUM__OF__INT, monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29, thm_2Ewords_2En2w__11, thm_2Ebool_2Ebool__case__thm, ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29, ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29
20.64/10.30	% No. of inferences in proof: 140
20.64/10.30	% SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3972 ms resp. 3409 ms w/o parsing
20.64/10.30	% SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
20.64/10.30	thf(u_type, type, u: $tType).
20.64/10.30	thf(d_type, type, d: $tType).
20.64/10.30	thf(du_type, type, du: $tType).
20.64/10.30	thf(mono_2Etyop_2Einteger_2Eint_type, type, mono_2Etyop_2Einteger_2Eint: $tType).
20.64/10.30	thf(mono_2Etyop_2Enum_2Enum_type, type, mono_2Etyop_2Enum_2Enum: $tType).
20.64/10.30	thf(tyop_2Ebool_2Eitself_type, type, tyop_2Ebool_2Eitself: (d > d)).
20.64/10.30	thf(tyop_2Efcp_2Ecart_type, type, tyop_2Efcp_2Ecart: (d > (d > d))).
20.64/10.30	thf(tyop_2Einteger_2Eint_type, type, tyop_2Einteger_2Eint: d).
20.64/10.31	thf(tyop_2Emin_2Ebool_type, type, tyop_2Emin_2Ebool: d).
20.64/10.31	thf(tyop_2Emin_2Efun_type, type, tyop_2Emin_2Efun: (d > (d > d))).
20.64/10.31	thf(tyop_2Enum_2Enum_type, type, tyop_2Enum_2Enum: d).
20.64/10.31	thf(s_type, type, s: (d > (u > du))).
20.64/10.31	thf(app_2E2_type, type, app_2E2: (du > (du > u))).
20.64/10.31	thf(combin_i_2E0_type, type, combin_i_2E0: u).
20.64/10.31	thf(combin_k_2E0_type, type, combin_k_2E0: u).
20.64/10.31	thf(combin_s_2E0_type, type, combin_s_2E0: u).
20.64/10.31	thf(c_2Ebool_2E_21_2E0_type, type, c_2Ebool_2E_21_2E0: u).
20.64/10.31	thf(c_2Ebool_2E_21_2E1_type, type, c_2Ebool_2E_21_2E1: (du > u)).
20.64/10.31	thf(c_2Emin_2E_3D_2E0_type, type, c_2Emin_2E_3D_2E0: u).
20.64/10.31	thf(c_2Emin_2E_3D_2E2_type, type, c_2Emin_2E_3D_2E2: (du > (du > u))).
20.64/10.31	thf(c_2Ebool_2E_3F_2E0_type, type, c_2Ebool_2E_3F_2E0: u).
20.64/10.31	thf(c_2Ebool_2E_3F_2E1_type, type, c_2Ebool_2E_3F_2E1: (du > u)).
20.64/10.31	thf(c_2Ebool_2ECOND_2E0_type, type, c_2Ebool_2ECOND_2E0: u).
20.64/10.31	thf(c_2Ebool_2ECOND_2E3_type, type, c_2Ebool_2ECOND_2E3: (du > (du > (du > u)))).
20.64/10.31	thf(c_2Ewords_2Edimword_2E0_type, type, c_2Ewords_2Edimword_2E0: u).
20.64/10.31	thf(c_2Ewords_2Edimword_2E1_type, type, c_2Ewords_2Edimword_2E1: (du > u)).
20.64/10.31	thf(c_2Einteger__word_2Ei2w_2E0_type, type, c_2Einteger__word_2Ei2w_2E0: u).
20.64/10.31	thf(c_2Einteger__word_2Ei2w_2E1_type, type, c_2Einteger__word_2Ei2w_2E1: (du > u)).
20.64/10.31	thf(c_2Ewords_2En2w_2E0_type, type, c_2Ewords_2En2w_2E0: u).
20.64/10.31	thf(c_2Ewords_2En2w_2E1_type, type, c_2Ewords_2En2w_2E1: (du > u)).
20.64/10.31	thf(c_2Ebool_2Ethe__value_2E0_type, type, c_2Ebool_2Ethe__value_2E0: u).
20.64/10.31	thf(c_2Ewords_2Eword__2comp_2E0_type, type, c_2Ewords_2Eword__2comp_2E0: u).
20.64/10.31	thf(c_2Ewords_2Eword__2comp_2E1_type, type, c_2Ewords_2Eword__2comp_2E1: (du > u)).
20.64/10.31	thf(mono_2Ec_2Enum_2E0_type, type, mono_2Ec_2Enum_2E0: mono_2Etyop_2Enum_2Enum).
20.64/10.31	thf(mono_2Ec_2Eprim__rec_2E_3C_type, type, mono_2Ec_2Eprim__rec_2E_3C: (mono_2Etyop_2Enum_2Enum > (mono_2Etyop_2Enum_2Enum > $o))).
20.64/10.31	thf(mono_2Ec_2Ebool_2EF_type, type, mono_2Ec_2Ebool_2EF: $o).
20.64/10.31	thf(mono_2Ec_2Earithmetic_2EMOD_type, type, mono_2Ec_2Earithmetic_2EMOD: (mono_2Etyop_2Enum_2Enum > (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum))).
20.64/10.31	thf(mono_2Ec_2Einteger_2ENum_type, type, mono_2Ec_2Einteger_2ENum: (mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum)).
20.64/10.31	thf(mono_2Ec_2Ebool_2ET_type, type, mono_2Ec_2Ebool_2ET: $o).
20.64/10.31	thf(mono_2Ec_2Einteger_2Eint__lt_type, type, mono_2Ec_2Einteger_2Eint__lt: (mono_2Etyop_2Einteger_2Eint > (mono_2Etyop_2Einteger_2Eint > $o))).
20.64/10.31	thf(mono_2Ec_2Einteger_2Eint__neg_type, type, mono_2Ec_2Einteger_2Eint__neg: (mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint)).
20.64/10.31	thf(mono_2Ec_2Einteger_2Eint__of__num_type, type, mono_2Ec_2Einteger_2Eint__of__num: (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint)).
20.64/10.31	thf(i_mono_2Etyop_2Emin_2Ebool_type, type, i_mono_2Etyop_2Emin_2Ebool: ($o > u)).
20.64/10.31	thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_type, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: (($o > $o) > u)).
20.64/10.31	thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_type, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: (($o > ($o > $o)) > u)).
20.64/10.31	thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_type, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: ((mono_2Etyop_2Einteger_2Eint > $o) > u)).
20.64/10.31	thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_type, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: ((mono_2Etyop_2Einteger_2Eint > (mono_2Etyop_2Einteger_2Eint > $o)) > u)).
20.64/10.31	thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_type, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: ((mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint) > u)).
20.64/10.31	thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29_type, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29: ((mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum) > u)).
20.64/10.31	thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_type, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ((mono_2Etyop_2Enum_2Enum > $o) > u)).
20.64/10.31	thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_type, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ((mono_2Etyop_2Enum_2Enum > (mono_2Etyop_2Enum_2Enum > $o)) > u)).
20.64/10.31	thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_type, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: ((mono_2Etyop_2Enum_2Enum > (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum)) > u)).
20.64/10.31	thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29_type, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29: ((mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint) > u)).
20.64/10.31	thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_type, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ((mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum) > u)).
20.64/10.31	thf(i_mono_2Etyop_2Einteger_2Eint_type, type, i_mono_2Etyop_2Einteger_2Eint: (mono_2Etyop_2Einteger_2Eint > u)).
20.64/10.31	thf(i_mono_2Etyop_2Enum_2Enum_type, type, i_mono_2Etyop_2Enum_2Enum: (mono_2Etyop_2Enum_2Enum > u)).
20.64/10.31	thf(j_mono_2Etyop_2Emin_2Ebool_type, type, j_mono_2Etyop_2Emin_2Ebool: (du > $o)).
20.64/10.31	thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_type, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: (du > ($o > $o))).
20.64/10.31	thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_type, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: (du > ($o > ($o > $o)))).
20.64/10.31	thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_type, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29: (du > (mono_2Etyop_2Einteger_2Eint > $o))).
20.64/10.31	thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29_type, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29: (du > (mono_2Etyop_2Einteger_2Eint > (mono_2Etyop_2Einteger_2Eint > $o)))).
20.64/10.31	thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_type, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29: (du > (mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint))).
20.64/10.31	thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29_type, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29: (du > (mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum))).
20.64/10.31	thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_type, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: (du > (mono_2Etyop_2Enum_2Enum > $o))).
20.64/10.31	thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29_type, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: (du > (mono_2Etyop_2Enum_2Enum > (mono_2Etyop_2Enum_2Enum > $o)))).
20.64/10.31	thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_type, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: (du > (mono_2Etyop_2Enum_2Enum > (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum)))).
20.64/10.31	thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29_type, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29: (du > (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint))).
20.64/10.31	thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_type, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: (du > (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum))).
20.64/10.31	thf(j_mono_2Etyop_2Einteger_2Eint_type, type, j_mono_2Etyop_2Einteger_2Eint: (du > mono_2Etyop_2Einteger_2Eint)).
20.64/10.31	thf(j_mono_2Etyop_2Enum_2Enum_type, type, j_mono_2Etyop_2Enum_2Enum: (du > mono_2Etyop_2Enum_2Enum)).
20.64/10.31	thf(15,axiom,((! [A:d,B:d,C:u,D:u]: ((s @ A @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ B @ A) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ A @ (tyop_2Emin_2Efun @ B @ A)) @ combin_k_2E0) @ (s @ A @ C))) @ (s @ B @ D))) = (s @ A @ C)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Ek__thm)).
20.64/10.31	thf(120,plain,((! [A:d,B:d,C:u,D:u]: ((s @ A @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ B @ A) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ A @ (tyop_2Emin_2Efun @ B @ A)) @ combin_k_2E0) @ (s @ A @ C))) @ (s @ B @ D))) = (s @ A @ C)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[15])).
20.64/10.31	thf(65,axiom,((! [A:($o > ($o > $o))]: ((j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ A))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29)).
20.64/10.31	thf(389,plain,((! [A:($o > ($o > $o))]: ((j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ A))) = (A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[65])).
20.64/10.31	thf(46,axiom,((! [A:d,B:u]: ((? [C:u]: (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ A @ tyop_2Emin_2Ebool) @ B) @ (s @ A @ C))))) = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_3F_2E1 @ (s @ (tyop_2Emin_2Efun @ A @ tyop_2Emin_2Ebool) @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Equant_2E_3F)).
20.64/10.31	thf(328,plain,((! [A:d,B:u]: ((? [C:u]: (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ A @ tyop_2Emin_2Ebool) @ B) @ (s @ A @ C))))) = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_3F_2E1 @ (s @ (tyop_2Emin_2Efun @ A @ tyop_2Emin_2Ebool) @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[46])).
20.64/10.31	thf(61,axiom,((! [A:d,B:$o,C:u,D:u]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ B)) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ C) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ D))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (tyop_2Emin_2Efun @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (tyop_2Emin_2Efun @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A)))) @ c_2Ebool_2ECOND_2E0) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ B)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ C))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2CA_27a_29)).
20.64/10.31	thf(371,plain,((! [A:d,B:$o,C:u,D:u]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ B)) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ C) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ D))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (tyop_2Emin_2Efun @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A))) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (tyop_2Emin_2Efun @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A)))) @ c_2Ebool_2ECOND_2E0) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ B)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ C))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[61])).
20.64/10.31	thf(39,axiom,((! [A:d,B:d,C:d,D:u,E:u,F:u]: ((s @ C @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ A @ C) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ A @ B) @ (tyop_2Emin_2Efun @ A @ C)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ A @ (tyop_2Emin_2Efun @ B @ C)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ A @ B) @ (tyop_2Emin_2Efun @ A @ C))) @ combin_s_2E0) @ (s @ (tyop_2Emin_2Efun @ A @ (tyop_2Emin_2Efun @ B @ C)) @ D))) @ (s @ (tyop_2Emin_2Efun @ A @ B) @ E))) @ (s @ A @ F))) = (s @ C @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ B @ C) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ A @ (tyop_2Emin_2Efun @ B @ C)) @ D) @ (s @ A @ F))) @ (s @ B @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ A @ B) @ E) @ (s @ A @ F)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Es__thm)).
20.64/10.31	thf(291,plain,((! [A:d,B:d,C:d,D:u,E:u,F:u]: ((s @ C @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ A @ C) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ A @ B) @ (tyop_2Emin_2Efun @ A @ C)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ A @ (tyop_2Emin_2Efun @ B @ C)) @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ A @ B) @ (tyop_2Emin_2Efun @ A @ C))) @ combin_s_2E0) @ (s @ (tyop_2Emin_2Efun @ A @ (tyop_2Emin_2Efun @ B @ C)) @ D))) @ (s @ (tyop_2Emin_2Efun @ A @ B) @ E))) @ (s @ A @ F))) = (s @ C @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ B @ C) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ A @ (tyop_2Emin_2Efun @ B @ C)) @ D) @ (s @ A @ F))) @ (s @ B @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ A @ B) @ E) @ (s @ A @ F)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[39])).
20.64/10.31	thf(47,axiom,((! [A:d]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2EWORD__NEG__0)).
20.64/10.31	thf(331,plain,((! [A:d]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[47])).
20.64/10.31	thf(64,axiom,((! [A:d,B:u,C:u]: ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Emin_2E_3D_2E2 @ (s @ A @ B) @ (s @ A @ C)))) = ((s @ A @ B) = (s @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Elogic_2E_3D)).
20.64/10.31	thf(386,plain,((! [A:d,B:u,C:u]: ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Emin_2E_3D_2E2 @ (s @ A @ B) @ (s @ A @ C)))) = ((s @ A @ B) = (s @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[64])).
20.64/10.31	thf(60,axiom,((! [A:(mono_2Etyop_2Enum_2Enum > $o),B:mono_2Etyop_2Enum_2Enum]: ((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (A @ B))) = (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ A)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool)).
20.64/10.31	thf(368,plain,((! [A:(mono_2Etyop_2Enum_2Enum > $o),B:mono_2Etyop_2Enum_2Enum]: ((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (A @ B))) = (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (A))) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[60])).
20.64/10.31	thf(52,axiom,((! [A:u]: ((s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool)) @ A)))) = (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool)) @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29)).
20.64/10.31	thf(346,plain,((! [A:u]: ((s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool)) @ A)))) = (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool)) @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[52])).
20.64/10.31	thf(66,axiom,((! [A:u]: ((s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint) @ A)))) = (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint) @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29)).
20.64/10.31	thf(422,plain,((! [A:u]: ((s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint) @ A)))) = (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint) @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[66])).
20.64/10.31	thf(59,axiom,((! [A:d,B:mono_2Etyop_2Einteger_2Eint]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ B)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A)) @ c_2Einteger__word_2Ei2w_2E0) @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Einteger__word_2Ei2w_2E1_2Emono_2EA_27a)).
20.64/10.31	thf(365,plain,((! [A:d,B:mono_2Etyop_2Einteger_2Eint]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ B)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A)) @ c_2Einteger__word_2Ei2w_2E0) @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[59])).
20.64/10.31	thf(23,axiom,((! [A:d,B:mono_2Etyop_2Enum_2Enum]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ B)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A)) @ c_2Ewords_2En2w_2E0) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a)).
20.64/10.31	thf(234,plain,((! [A:d,B:mono_2Etyop_2Enum_2Enum]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ B)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A)) @ c_2Ewords_2En2w_2E0) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[23])).
20.64/10.31	thf(54,axiom,((! [A:(mono_2Etyop_2Enum_2Enum > (mono_2Etyop_2Enum_2Enum > $o)),B:mono_2Etyop_2Enum_2Enum]: ((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (A @ B))) = (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ A)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29)).
20.64/10.31	thf(352,plain,((! [A:(mono_2Etyop_2Enum_2Enum > (mono_2Etyop_2Enum_2Enum > $o)),B:mono_2Etyop_2Enum_2Enum]: ((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (A @ B))) = (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ (A))) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[54])).
20.64/10.31	thf(21,axiom,((! [A:$o]: ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ A))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ji_2Emono_2Etyop_2Emin_2Ebool)).
20.64/10.31	thf(142,plain,((! [A:$o]: ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ A))) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[21])).
20.64/10.31	thf(50,axiom,((! [A:d,B:u]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ B))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A)) @ c_2Ewords_2Eword__2comp_2E0) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ B)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Ewords_2Eword__2comp_2E1_2Emono_2EA_27a)).
20.64/10.31	thf(340,plain,((! [A:d,B:u]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ B))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A)) @ c_2Ewords_2Eword__2comp_2E0) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ B)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[50])).
20.64/10.31	thf(38,axiom,((! [A:d,B:u]: ((s @ A @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ A @ A) @ combin_i_2E0) @ (s @ A @ B))) = (s @ A @ B)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Ei__thm)).
20.64/10.31	thf(288,plain,((! [A:d,B:u]: ((s @ A @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ A @ A) @ combin_i_2E0) @ (s @ A @ B))) = (s @ A @ B)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[38])).
20.64/10.31	thf(31,axiom,((! [A:d,B:u,C:u]: (((s @ A @ B) = (s @ A @ C)) = ((s @ A @ C) = (s @ A @ B))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EEQ__SYM__EQ)).
20.64/10.31	thf(257,plain,((! [A:d,B:u,C:u]: (((s @ A @ B) = (s @ A @ C)) = ((s @ A @ C) = (s @ A @ B))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[31])).
20.64/10.31	thf(45,axiom,((! [A:(mono_2Etyop_2Einteger_2Eint > (mono_2Etyop_2Einteger_2Eint > $o))]: ((j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ A))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29)).
20.64/10.31	thf(325,plain,((! [A:(mono_2Etyop_2Einteger_2Eint > (mono_2Etyop_2Einteger_2Eint > $o))]: ((j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ A))) = (A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[45])).
20.64/10.31	thf(42,axiom,((! [A:d,B:$o,C:u,D:u]: ((s @ A @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ B)) @ (s @ A @ C) @ (s @ A @ D))) = (s @ A @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ A @ A) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ A @ (tyop_2Emin_2Efun @ A @ A)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ A @ (tyop_2Emin_2Efun @ A @ A))) @ c_2Ebool_2ECOND_2E0) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ B)))) @ (s @ A @ C))) @ (s @ A @ D)))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2EA_27a)).
20.64/10.31	thf(316,plain,((! [A:d,B:$o,C:u,D:u]: ((s @ A @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ B)) @ (s @ A @ C) @ (s @ A @ D))) = (s @ A @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ A @ A) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ A @ (tyop_2Emin_2Efun @ A @ A)) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ A @ (tyop_2Emin_2Efun @ A @ A))) @ c_2Ebool_2ECOND_2E0) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ B)))) @ (s @ A @ C))) @ (s @ A @ D)))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[42])).
20.64/10.31	thf(22,axiom,((! [A:($o > ($o > $o)),B:$o]: ((s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (A @ B))) = (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ A)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29)).
20.64/10.31	thf(147,plain,((! [A:($o > ($o > $o)),B:$o]: ((s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (A @ B))) = (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ (A))) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[22])).
20.64/10.31	thf(68,axiom,((! [A:u]: ((s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (j_mono_2Etyop_2Enum_2Enum @ (s @ tyop_2Enum_2Enum @ A)))) = (s @ tyop_2Enum_2Enum @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ij_2Emono_2Etyop_2Enum_2Enum)).
20.64/10.31	thf(428,plain,((! [A:u]: ((s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (j_mono_2Etyop_2Enum_2Enum @ (s @ tyop_2Enum_2Enum @ A)))) = (s @ tyop_2Enum_2Enum @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[68])).
20.64/10.31	thf(3,axiom,((! [A:$o]: ((A) <= (mono_2Ec_2Ebool_2EF)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EFALSITY)).
20.64/10.31	thf(74,plain,((! [A:$o]: ((A) | ~ (mono_2Ec_2Ebool_2EF)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[3])).
20.64/10.31	thf(8,axiom,((! [A:(mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint)]: ((j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Einteger_2Eint) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29 @ A))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29)).
20.64/10.31	thf(89,plain,((! [A:(mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint)]: ((j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Einteger_2Eint) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29 @ A))) = (A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[8])).
20.64/10.31	thf(18,axiom,((! [A:u]: ((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ A)))) = (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29)).
20.64/10.31	thf(133,plain,((! [A:u]: ((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ A)))) = (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[18])).
20.64/10.31	thf(28,axiom,((! [A:d,B:u]: ((j_mono_2Etyop_2Enum_2Enum @ (s @ tyop_2Enum_2Enum @ (c_2Ewords_2Edimword_2E1 @ (s @ (tyop_2Ebool_2Eitself @ A) @ B)))) = (j_mono_2Etyop_2Enum_2Enum @ (s @ tyop_2Enum_2Enum @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Ebool_2Eitself @ A) @ tyop_2Enum_2Enum) @ c_2Ewords_2Edimword_2E0) @ (s @ (tyop_2Ebool_2Eitself @ A) @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Ewords_2Edimword_2E1_2Emono_2EA_27a)).
20.64/10.31	thf(248,plain,((! [A:d,B:u]: ((j_mono_2Etyop_2Enum_2Enum @ (s @ tyop_2Enum_2Enum @ (c_2Ewords_2Edimword_2E1 @ (s @ (tyop_2Ebool_2Eitself @ A) @ B)))) = (j_mono_2Etyop_2Enum_2Enum @ (s @ tyop_2Enum_2Enum @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Ebool_2Eitself @ A) @ tyop_2Enum_2Enum) @ c_2Ewords_2Edimword_2E0) @ (s @ (tyop_2Ebool_2Eitself @ A) @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[28])).
20.64/10.31	thf(14,axiom,((! [A:(mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum),B:mono_2Etyop_2Einteger_2Eint]: ((s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (A @ B))) = (s @ tyop_2Enum_2Enum @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29 @ A)) @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Enum_2Enum)).
20.64/10.31	thf(117,plain,((! [A:(mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum),B:mono_2Etyop_2Einteger_2Eint]: ((s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (A @ B))) = (s @ tyop_2Enum_2Enum @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29 @ (A))) @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[14])).
20.64/10.31	thf(48,axiom,((! [A:d,B:u]: ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_21_2E1 @ (s @ (tyop_2Emin_2Efun @ A @ tyop_2Emin_2Ebool) @ B)))) = (! [C:u]: (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ A @ tyop_2Emin_2Ebool) @ B) @ (s @ A @ C)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Equant_2E_21)).
20.64/10.31	thf(334,plain,((! [A:d,B:u]: ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_21_2E1 @ (s @ (tyop_2Emin_2Efun @ A @ tyop_2Emin_2Ebool) @ B)))) = (! [C:u]: (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ A @ tyop_2Emin_2Ebool) @ B) @ (s @ A @ C)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[48])).
20.64/10.31	thf(41,axiom,((! [A:($o > $o),B:$o]: ((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (A @ B))) = (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ A)) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool)).
20.64/10.31	thf(297,plain,((! [A:($o > $o),B:$o]: ((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (A @ B))) = (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (A))) @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[41])).
20.64/10.31	thf(32,axiom,((! [A:d,B:mono_2Etyop_2Einteger_2Eint]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ B)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Einteger_2Eint__lt @ B @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__neg @ B)))))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ B)))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger__word_2Ei2w__def)).
20.64/10.31	thf(260,plain,((! [A:d,B:mono_2Etyop_2Einteger_2Eint]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ B)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Einteger_2Eint__lt @ B @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__neg @ B)))))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Einteger_2ENum @ B)))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[32])).
20.64/10.31	thf(53,axiom,((! [A:(mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum)]: ((j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ A))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29)).
20.64/10.31	thf(349,plain,((! [A:(mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum)]: ((j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ A))) = (A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[53])).
20.64/10.31	thf(9,axiom,((! [A:d,B:$o,C:$o,D:u,E:u,F:u,G:u]: (((s @ A @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ B)) @ (s @ A @ D) @ (s @ A @ F))) = (s @ A @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ C)) @ (s @ A @ E) @ (s @ A @ G)))) <= ((((s @ A @ F) = (s @ A @ G)) <= (~ (C))) & (((s @ A @ D) = (s @ A @ E)) <= (C)) & (B = C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ECOND__CONG)).
20.64/10.31	thf(92,plain,((! [A:d,B:$o,C:$o,D:u,E:u,F:u,G:u]: (((s @ A @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ B)) @ (s @ A @ D) @ (s @ A @ F))) = (s @ A @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ C)) @ (s @ A @ E) @ (s @ A @ G)))) | ~ ((((s @ A @ F) = (s @ A @ G)) | (C)) & (((s @ A @ D) = (s @ A @ E)) | ~ (C)) & (B = C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[9])).
20.64/10.31	thf(57,axiom,((! [A:d,B:u]: (((s @ A @ B) = (s @ A @ B)) = mono_2Ec_2Ebool_2ET))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EREFL__CLAUSE)).
20.64/10.31	thf(361,plain,(mono_2Ec_2Ebool_2ET),inference(defexp_and_simp_and_etaexpand,[status(thm)],[57])).
20.64/10.31	thf(37,axiom,((! [A:d,B:u]: ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_3F_2E1 @ (s @ (tyop_2Emin_2Efun @ A @ tyop_2Emin_2Ebool) @ B)))) = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ A @ tyop_2Emin_2Ebool) @ tyop_2Emin_2Ebool) @ c_2Ebool_2E_3F_2E0) @ (s @ (tyop_2Emin_2Efun @ A @ tyop_2Emin_2Ebool) @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a)).
20.64/10.31	thf(285,plain,((! [A:d,B:u]: ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_3F_2E1 @ (s @ (tyop_2Emin_2Efun @ A @ tyop_2Emin_2Ebool) @ B)))) = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ A @ tyop_2Emin_2Ebool) @ tyop_2Emin_2Ebool) @ c_2Ebool_2E_3F_2E0) @ (s @ (tyop_2Emin_2Efun @ A @ tyop_2Emin_2Ebool) @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[37])).
20.64/10.31	thf(10,axiom,((! [A:(mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum)]: ((j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29 @ A))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29)).
20.64/10.31	thf(105,plain,((! [A:(mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Enum_2Enum)]: ((j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29 @ A))) = (A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[10])).
20.64/10.31	thf(34,axiom,((! [A:mono_2Etyop_2Enum_2Enum,B:mono_2Etyop_2Enum_2Enum]: (((mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ A) @ (mono_2Ec_2Einteger_2Eint__of__num @ B)) = (mono_2Ec_2Eprim__rec_2E_3C @ A @ B)) & ((mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ A) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ B))) = mono_2Ec_2Ebool_2EF) & ((mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ A)) @ (mono_2Ec_2Einteger_2Eint__of__num @ B)) = (~ (A = mono_2Ec_2Enum_2E0) | ~ (B = mono_2Ec_2Enum_2E0))) & ((mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ A)) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ B))) = (mono_2Ec_2Eprim__rec_2E_3C @ B @ A))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__LT__CALCULATE)).
20.64/10.31	thf(266,plain,((! [A:mono_2Etyop_2Enum_2Enum,B:mono_2Etyop_2Enum_2Enum]: (((mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ A) @ (mono_2Ec_2Einteger_2Eint__of__num @ B)) = (mono_2Ec_2Eprim__rec_2E_3C @ A @ B)) & ((mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__of__num @ A) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ B))) = mono_2Ec_2Ebool_2EF) & ((mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ A)) @ (mono_2Ec_2Einteger_2Eint__of__num @ B)) = (~ (A = mono_2Ec_2Enum_2E0) | ~ (B = mono_2Ec_2Enum_2E0))) & ((mono_2Ec_2Einteger_2Eint__lt @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ A)) @ (mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ B))) = (mono_2Ec_2Eprim__rec_2E_3C @ B @ A))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[34])).
20.64/10.31	thf(51,axiom,((! [A:u]: ((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ A)))) = (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29)).
20.64/10.31	thf(343,plain,((! [A:u]: ((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ A)))) = (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[51])).
20.64/10.31	thf(24,axiom,((! [A:(mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint)]: ((j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ A))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29)).
20.64/10.31	thf(237,plain,((! [A:(mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint)]: ((j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ A))) = (A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[24])).
20.64/10.31	thf(67,axiom,((! [A:mono_2Etyop_2Einteger_2Eint]: ((j_mono_2Etyop_2Einteger_2Eint @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ A))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ji_2Emono_2Etyop_2Einteger_2Eint)).
20.64/10.31	thf(425,plain,((! [A:mono_2Etyop_2Einteger_2Eint]: ((j_mono_2Etyop_2Einteger_2Eint @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ A))) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[67])).
20.64/10.31	thf(35,axiom,((! [A:(mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum),B:mono_2Etyop_2Enum_2Enum]: ((s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (A @ B))) = (s @ tyop_2Enum_2Enum @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ A)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum)).
20.64/10.31	thf(279,plain,((! [A:(mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum),B:mono_2Etyop_2Enum_2Enum]: ((s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (A @ B))) = (s @ tyop_2Enum_2Enum @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ (A))) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[35])).
20.64/10.31	thf(1,conjecture,((! [A:d]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0))))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger__word_2Ei2w__0)).
20.64/10.31	thf(2,negated_conjecture,((~ (! [A:d]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0))))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))))))),inference(neg_conjecture,[status(cth)],[1])).
20.64/10.31	thf(71,plain,((~ (! [A:d]: ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Einteger__word_2Ei2w_2E1 @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0))))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Enum_2E0)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[2])).
20.64/10.31	thf(7,axiom,((! [A:u]: ((s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum) @ A)))) = (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum) @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29)).
20.64/10.31	thf(86,plain,((! [A:u]: ((s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Enum_2Enum_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum) @ A)))) = (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum) @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[7])).
20.64/10.31	thf(63,axiom,((! [A:($o > $o)]: ((j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ A))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29)).
20.64/10.31	thf(377,plain,((! [A:($o > $o)]: ((j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ A))) = (A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[63])).
20.64/10.31	thf(58,axiom,((! [A:u]: ((s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (j_mono_2Etyop_2Einteger_2Eint @ (s @ tyop_2Einteger_2Eint @ A)))) = (s @ tyop_2Einteger_2Eint @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ij_2Emono_2Etyop_2Einteger_2Eint)).
20.64/10.31	thf(362,plain,((! [A:u]: ((s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (j_mono_2Etyop_2Einteger_2Eint @ (s @ tyop_2Einteger_2Eint @ A)))) = (s @ tyop_2Einteger_2Eint @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[58])).
20.64/10.31	thf(27,axiom,((! [A:(mono_2Etyop_2Einteger_2Eint > (mono_2Etyop_2Einteger_2Eint > $o)),B:mono_2Etyop_2Einteger_2Eint]: ((s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ (A @ B))) = (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ A)) @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29)).
20.64/10.31	thf(245,plain,((! [A:(mono_2Etyop_2Einteger_2Eint > (mono_2Etyop_2Einteger_2Eint > $o)),B:mono_2Etyop_2Einteger_2Eint]: ((s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ (A @ B))) = (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @ (A))) @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[27])).
20.64/10.31	thf(70,axiom,((! [A:u]: ((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ A)))) = (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29)).
20.64/10.31	thf(434,plain,((! [A:u]: ((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ A)))) = (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[70])).
20.64/10.31	thf(11,axiom,((! [A:(mono_2Etyop_2Enum_2Enum > (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum)),B:mono_2Etyop_2Enum_2Enum]: ((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ (A @ B))) = (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ A)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29)).
20.64/10.31	thf(108,plain,((! [A:(mono_2Etyop_2Enum_2Enum > (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum)),B:mono_2Etyop_2Enum_2Enum]: ((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ (A @ B))) = (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (A))) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[11])).
20.64/10.31	thf(25,axiom,(((mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)) = (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__NEG__0)).
20.64/10.31	thf(240,plain,(((mono_2Ec_2Einteger_2Eint__neg @ (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0)) = (mono_2Ec_2Einteger_2Eint__of__num @ mono_2Ec_2Enum_2E0))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[25])).
20.64/10.31	thf(29,axiom,((! [A:mono_2Etyop_2Enum_2Enum]: ((j_mono_2Etyop_2Enum_2Enum @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ A))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ji_2Emono_2Etyop_2Enum_2Enum)).
20.64/10.31	thf(251,plain,((! [A:mono_2Etyop_2Enum_2Enum]: ((j_mono_2Etyop_2Enum_2Enum @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ A))) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[29])).
20.64/10.31	thf(69,axiom,((! [A:(mono_2Etyop_2Enum_2Enum > (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum))]: ((j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ A))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29)).
20.64/10.31	thf(431,plain,((! [A:(mono_2Etyop_2Enum_2Enum > (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum))]: ((j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ A))) = (A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[69])).
20.64/10.31	thf(5,axiom,((! [A:d,B:d,C:u,D:u]: (((s @ (tyop_2Emin_2Efun @ A @ B) @ C) = (s @ (tyop_2Emin_2Efun @ A @ B) @ D)) <= (! [E:u]: ((s @ B @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ A @ B) @ C) @ (s @ A @ E))) = (s @ B @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ A @ B) @ D) @ (s @ A @ E)))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Eeq__ext)).
20.64/10.31	thf(80,plain,((! [A:d,B:d,C:u,D:u]: (((s @ (tyop_2Emin_2Efun @ A @ B) @ C) = (s @ (tyop_2Emin_2Efun @ A @ B) @ D)) | ~ (! [E:u]: ((s @ B @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ A @ B) @ C) @ (s @ A @ E))) = (s @ B @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ A @ B) @ D) @ (s @ A @ E)))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[5])).
20.64/10.31	thf(62,axiom,((! [A:(mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint),B:mono_2Etyop_2Enum_2Enum]: ((s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (A @ B))) = (s @ tyop_2Einteger_2Eint @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Einteger_2Eint) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29 @ A)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Einteger_2Eint)).
20.64/10.31	thf(374,plain,((! [A:(mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Einteger_2Eint),B:mono_2Etyop_2Enum_2Enum]: ((s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (A @ B))) = (s @ tyop_2Einteger_2Eint @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Einteger_2Eint) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29 @ (A))) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[62])).
20.64/10.31	thf(16,axiom,((! [A:mono_2Etyop_2Enum_2Enum]: ((mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__of__num @ A)) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2ENUM__OF__INT)).
20.64/10.31	thf(123,plain,((! [A:mono_2Etyop_2Enum_2Enum]: ((mono_2Ec_2Einteger_2ENum @ (mono_2Ec_2Einteger_2Eint__of__num @ A)) = A))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[16])).
20.64/10.31	thf(55,axiom,((! [A:d,B:mono_2Etyop_2Enum_2Enum,C:mono_2Etyop_2Enum_2Enum]: (((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ B)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ C))))) = ((mono_2Ec_2Earithmetic_2EMOD @ B @ (j_mono_2Etyop_2Enum_2Enum @ (s @ tyop_2Enum_2Enum @ (c_2Ewords_2Edimword_2E1 @ (s @ (tyop_2Ebool_2Eitself @ A) @ c_2Ebool_2Ethe__value_2E0))))) = (mono_2Ec_2Earithmetic_2EMOD @ C @ (j_mono_2Etyop_2Enum_2Enum @ (s @ tyop_2Enum_2Enum @ (c_2Ewords_2Edimword_2E1 @ (s @ (tyop_2Ebool_2Eitself @ A) @ c_2Ebool_2Ethe__value_2E0))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2En2w__11)).
20.64/10.31	thf(355,plain,((! [A:d,B:mono_2Etyop_2Enum_2Enum,C:mono_2Etyop_2Enum_2Enum]: (((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ B)))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ C))))) = ((mono_2Ec_2Earithmetic_2EMOD @ B @ (j_mono_2Etyop_2Enum_2Enum @ (s @ tyop_2Enum_2Enum @ (c_2Ewords_2Edimword_2E1 @ (s @ (tyop_2Ebool_2Eitself @ A) @ c_2Ebool_2Ethe__value_2E0))))) = (mono_2Ec_2Earithmetic_2EMOD @ C @ (j_mono_2Etyop_2Enum_2Enum @ (s @ tyop_2Enum_2Enum @ (c_2Ewords_2Edimword_2E1 @ (s @ (tyop_2Ebool_2Eitself @ A) @ c_2Ebool_2Ethe__value_2E0))))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[55])).
20.64/10.31	thf(36,axiom,((! [A:(mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint),B:mono_2Etyop_2Einteger_2Eint]: ((s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (A @ B))) = (s @ tyop_2Einteger_2Eint @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ A)) @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint)).
20.64/10.31	thf(282,plain,((! [A:(mono_2Etyop_2Einteger_2Eint > mono_2Etyop_2Einteger_2Eint),B:mono_2Etyop_2Einteger_2Eint]: ((s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ (A @ B))) = (s @ tyop_2Einteger_2Eint @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @ (A))) @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[36])).
20.64/10.31	thf(33,axiom,((! [A:(mono_2Etyop_2Enum_2Enum > $o)]: ((j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ A))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29)).
20.64/10.31	thf(263,plain,((! [A:(mono_2Etyop_2Enum_2Enum > $o)]: ((j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ A))) = (A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[33])).
20.64/10.31	thf(43,axiom,((! [A:u]: ((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ A)))) = (s @ tyop_2Emin_2Ebool @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ij_2Emono_2Etyop_2Emin_2Ebool)).
20.64/10.31	thf(319,plain,((! [A:u]: ((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ A)))) = (s @ tyop_2Emin_2Ebool @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[43])).
20.64/10.31	thf(13,axiom,((! [A:d,B:u,C:u]: ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ A @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ A @ (tyop_2Emin_2Efun @ A @ tyop_2Emin_2Ebool)) @ c_2Emin_2E_3D_2E0) @ (s @ A @ B))) @ (s @ A @ C)))) = ((s @ A @ B) = (s @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a)).
20.64/10.31	thf(114,plain,((! [A:d,B:u,C:u]: ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ A @ tyop_2Emin_2Ebool) @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ A @ (tyop_2Emin_2Efun @ A @ tyop_2Emin_2Ebool)) @ c_2Emin_2E_3D_2E0) @ (s @ A @ B))) @ (s @ A @ C)))) = ((s @ A @ B) = (s @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[13])).
20.64/10.31	thf(20,axiom,((! [A:(mono_2Etyop_2Enum_2Enum > (mono_2Etyop_2Enum_2Enum > $o))]: ((j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ A))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29)).
20.64/10.31	thf(139,plain,((! [A:(mono_2Etyop_2Enum_2Enum > (mono_2Etyop_2Enum_2Enum > $o))]: ((j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ A))) = (A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[20])).
20.64/10.31	thf(26,axiom,((! [A:u]: ((s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ A)))) = (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29)).
20.64/10.31	thf(242,plain,((! [A:u]: ((s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ A)))) = (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool) @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[26])).
20.64/10.31	thf(40,axiom,((! [A:(mono_2Etyop_2Einteger_2Eint > $o)]: ((j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ A))) = A))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29)).
20.64/10.31	thf(294,plain,((! [A:(mono_2Etyop_2Einteger_2Eint > $o)]: ((j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ A))) = (A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[40])).
20.64/10.31	thf(17,axiom,((! [A:d]: (! [B:u,C:u]: ((s @ A @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET)) @ (s @ A @ B) @ (s @ A @ C))) = (s @ A @ B)) & ! [B:u,C:u]: ((s @ A @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF)) @ (s @ A @ B) @ (s @ A @ C))) = (s @ A @ C))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2Ebool__case__thm)).
20.64/10.31	thf(126,plain,((! [A:d]: (! [B:u,C:u]: ((s @ A @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET)) @ (s @ A @ B) @ (s @ A @ C))) = (s @ A @ B)) & ! [B:u,C:u]: ((s @ A @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF)) @ (s @ A @ B) @ (s @ A @ C))) = (s @ A @ C))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[17])).
20.64/10.31	thf(19,axiom,((! [A:u]: ((s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool) @ A)))) = (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool) @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29)).
20.64/10.31	thf(136,plain,((! [A:u]: ((s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool) @ A)))) = (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool) @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[19])).
20.64/10.31	thf(56,axiom,((! [A:d,B:u]: ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_21_2E1 @ (s @ (tyop_2Emin_2Efun @ A @ tyop_2Emin_2Ebool) @ B)))) = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ A @ tyop_2Emin_2Ebool) @ tyop_2Emin_2Ebool) @ c_2Ebool_2E_21_2E0) @ (s @ (tyop_2Emin_2Efun @ A @ tyop_2Emin_2Ebool) @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a)).
20.64/10.31	thf(358,plain,((! [A:d,B:u]: ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Ebool_2E_21_2E1 @ (s @ (tyop_2Emin_2Efun @ A @ tyop_2Emin_2Ebool) @ B)))) = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Emin_2Efun @ A @ tyop_2Emin_2Ebool) @ tyop_2Emin_2Ebool) @ c_2Ebool_2E_21_2E0) @ (s @ (tyop_2Emin_2Efun @ A @ tyop_2Emin_2Ebool) @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[56])).
20.64/10.31	thf(4,axiom,(mono_2Ec_2Ebool_2ET),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH)).
20.64/10.31	thf(79,plain,(mono_2Ec_2Ebool_2ET),inference(defexp_and_simp_and_etaexpand,[status(thm)],[4])).
20.64/10.31	thf(12,axiom,((! [A:(mono_2Etyop_2Einteger_2Eint > $o),B:mono_2Etyop_2Einteger_2Eint]: ((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (A @ B))) = (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ A)) @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ B))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool)).
20.64/10.31	thf(111,plain,((! [A:(mono_2Etyop_2Einteger_2Eint > $o),B:mono_2Etyop_2Einteger_2Eint]: ((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (A @ B))) = (s @ tyop_2Emin_2Ebool @ (app_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @ (A))) @ (s @ tyop_2Einteger_2Eint @ (i_mono_2Etyop_2Einteger_2Eint @ B))))))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[12])).
20.64/10.31	thf(30,axiom,((! [A:u]: ((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Einteger_2Eint) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Einteger_2Eint) @ A)))) = (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Einteger_2Eint) @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29)).
20.64/10.31	thf(254,plain,((! [A:u]: ((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Einteger_2Eint) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Einteger_2Eint_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Einteger_2Eint) @ A)))) = (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Einteger_2Eint) @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[30])).
20.64/10.31	thf(44,axiom,((! [A:u]: ((s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ A)))) = (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29)).
20.64/10.31	thf(322,plain,((! [A:u]: ((s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ A)))) = (s @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ (tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool)) @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[44])).
20.64/10.31	thf(49,axiom,((! [A:u]: ((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool)) @ A)))) = (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool)) @ A)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29)).
20.64/10.31	thf(337,plain,((! [A:u]: ((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool)) @ A)))) = (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool)) @ A)))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[49])).
20.64/10.31	thf(6,axiom,((! [A:mono_2Etyop_2Enum_2Enum]: ~ (mono_2Ec_2Eprim__rec_2E_3C @ A @ mono_2Ec_2Enum_2E0))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eprim__rec_2ENOT__LESS__0)).
20.64/10.31	thf(83,plain,((! [A:mono_2Etyop_2Enum_2Enum]: ~ (mono_2Ec_2Eprim__rec_2E_3C @ A @ mono_2Ec_2Enum_2E0))),inference(defexp_and_simp_and_etaexpand,[status(thm)],[6])).
20.64/10.31	thf(2249,plain,($false),inference(e,[status(thm)],[120,389,328,371,291,331,386,368,346,422,365,234,352,142,340,288,257,325,316,147,428,74,89,133,248,117,334,297,260,349,92,361,285,105,266,343,237,425,279,71,86,377,362,245,434,108,240,251,431,80,374,123,355,282,263,319,114,139,242,294,126,136,358,79,111,254,322,337,83])).
20.64/10.31	% SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
20.64/10.31	% [INFO] 	 Killing All external provers ... 
20.64/10.31	FINAL WATCH: 17.0 CPU 4.2 WC
20.64/10.31	Killed 3 orphans
20.64/10.31	Killed 3 orphans
20.64/10.31	EOF