0.09/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.53 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7pFswmkNpJ true 0.55/0.74 % Computer : n015.cluster.edu 0.55/0.74 % Model : x86_64 x86_64 0.55/0.74 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.55/0.74 % Memory : 8042.1875MB 0.55/0.74 % OS : Linux 3.10.0-693.el7.x86_64 0.55/0.74 % CPULimit : 1200 0.55/0.74 % WCLimit : 120 0.55/0.74 % DateTime : Tue Jul 13 12:02:50 EDT 2021 0.55/0.74 % CPUTime : 0.55/0.74 % Running portfolio for 120 s 0.55/0.74 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.55/0.74 % Number of cores: 8 0.55/0.74 % Python version: Python 3.6.8 0.55/0.74 % Running in HO mode 0.60/1.02 % Total configuration time : 828 0.60/1.02 % Estimated wc time : 983 0.60/1.02 % Estimated cpu time (8 cpus) : 122.875 0.60/1.11 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 47s 0.60/1.11 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 47s 0.60/1.11 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 18s 0.60/1.11 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 53s 0.60/1.11 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 47s 0.60/1.12 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.60/1.12 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 41s 0.60/1.12 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 35s 2.29/1.57 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 53s 152.61/20.59 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 33s 169.02/22.67 % Solved by lams/40_c_ic.sh. 169.02/22.67 % running E: timeout 27 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.7pFswmkNpJ/e_inputfeca16 --cpu-limit=25 --auto-schedule -s -p 169.02/22.67 % done 502 iterations in 21.499s 169.02/22.67 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 169.02/22.67 % SZS output start Refutation 169.02/22.67 thf(mono_2Etyop_2Enum_2Enum_type, type, mono_2Etyop_2Enum_2Enum: $tType). 169.02/22.67 thf(mono_2Ec_2Earithmetic_2E_2B_type, type, mono_2Ec_2Earithmetic_2E_2B: 169.02/22.67 mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 169.02/22.67 thf(sk__19_type, type, sk__19: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 169.02/22.67 thf(mono_2Ec_2Earithmetic_2EEVEN_type, type, mono_2Ec_2Earithmetic_2EEVEN: 169.02/22.67 mono_2Etyop_2Enum_2Enum > $o). 169.02/22.67 thf(mono_2Ec_2Earithmetic_2EBIT1_type, type, mono_2Ec_2Earithmetic_2EBIT1: 169.02/22.67 mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 169.02/22.67 thf(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum_type, type, mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum: 169.02/22.67 $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 169.02/22.67 thf(mono_2Ec_2Earithmetic_2EDIV_type, type, mono_2Ec_2Earithmetic_2EDIV: 169.02/22.67 mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 169.02/22.67 thf(sk__16_type, type, sk__16: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 169.02/22.67 thf(mono_2Ec_2Enum_2ESUC_type, type, mono_2Ec_2Enum_2ESUC: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 169.02/22.67 thf(mono_2Ec_2Enum_2E0_type, type, mono_2Ec_2Enum_2E0: mono_2Etyop_2Enum_2Enum). 169.02/22.67 thf(mono_2Ec_2Earithmetic_2ENUMERAL_type, type, mono_2Ec_2Earithmetic_2ENUMERAL: 169.02/22.67 mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 169.02/22.67 thf(sk__21_type, type, sk__21: mono_2Etyop_2Enum_2Enum). 169.02/22.67 thf(mono_2Ec_2Earithmetic_2E_2A_type, type, mono_2Ec_2Earithmetic_2E_2A: 169.02/22.67 mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 169.02/22.67 thf(mono_2Ec_2Earithmetic_2EBIT2_type, type, mono_2Ec_2Earithmetic_2EBIT2: 169.02/22.67 mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 169.02/22.67 thf(sk__12_type, type, sk__12: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 169.02/22.67 thf(sk__9_type, type, sk__9: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 169.02/22.67 thf(mono_2Ec_2Earithmetic_2EODD_type, type, mono_2Ec_2Earithmetic_2EODD: 169.02/22.67 mono_2Etyop_2Enum_2Enum > $o). 169.02/22.67 thf(sk__17_type, type, sk__17: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 169.02/22.67 thf(mono_2Ec_2Earithmetic_2EMAX_type, type, mono_2Ec_2Earithmetic_2EMAX: 169.02/22.67 mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 169.02/22.67 thf(mono_2Ec_2Ebool_2ET_type, type, mono_2Ec_2Ebool_2ET: $o). 169.02/22.67 thf(mono_2Ec_2Earithmetic_2EABS__DIFF_type, type, mono_2Ec_2Earithmetic_2EABS__DIFF: 169.02/22.67 mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 169.02/22.67 thf(mono_2Ec_2Earithmetic_2E_2D_type, type, mono_2Ec_2Earithmetic_2E_2D: 169.02/22.67 mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 169.02/22.67 thf(mono_2Ec_2Earithmetic_2EZERO_type, type, mono_2Ec_2Earithmetic_2EZERO: 169.02/22.67 mono_2Etyop_2Enum_2Enum). 169.02/22.67 thf(mono_2Ec_2Earithmetic_2E_3C_3D_type, type, mono_2Ec_2Earithmetic_2E_3C_3D: 169.02/22.67 mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o). 169.02/22.67 thf(mono_2Ec_2Earithmetic_2EDIV2_type, type, mono_2Ec_2Earithmetic_2EDIV2: 169.02/22.67 mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 169.02/22.67 thf(mono_2Ec_2Eprim__rec_2E_3C_type, type, mono_2Ec_2Eprim__rec_2E_3C: 169.02/22.67 mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o). 169.02/22.67 thf(mono_2Ec_2Earithmetic_2EMOD_type, type, mono_2Ec_2Earithmetic_2EMOD: 169.02/22.67 mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum). 169.02/22.67 thf(thm_2Earithmetic_2EEVEN__OR__ODD, axiom, 169.02/22.67 (![V0n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2EODD @ V0n ) | 169.02/22.67 ( mono_2Ec_2Earithmetic_2EEVEN @ V0n ) ))). 169.02/22.67 thf(zip_derived_cl129, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( (mono_2Ec_2Earithmetic_2EODD @ X0) 169.02/22.67 | (mono_2Ec_2Earithmetic_2EEVEN @ X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EEVEN__OR__ODD])). 169.02/22.67 thf(thm_2Earithmetic_2EMOD__2, conjecture, 169.02/22.67 (![V0n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2EMOD @ 169.02/22.67 V0n @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) = 169.02/22.67 ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EEVEN @ V0n ) @ mono_2Ec_2Enum_2E0 @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ))). 169.02/22.67 thf(zf_stmt_0, negated_conjecture, 169.02/22.67 (~( ![V0n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2EMOD @ 169.02/22.67 V0n @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) = 169.02/22.67 ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EEVEN @ V0n ) @ mono_2Ec_2Enum_2E0 @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) )), 169.02/22.67 inference('cnf.neg', [status(esa)], [thm_2Earithmetic_2EMOD__2])). 169.02/22.67 thf(zip_derived_cl156, plain, 169.02/22.67 (((mono_2Ec_2Earithmetic_2EMOD @ sk__21 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))) 169.02/22.67 != (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EEVEN @ sk__21) @ mono_2Ec_2Enum_2E0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))), 169.02/22.67 inference('cnf', [status(esa)], [zf_stmt_0])). 169.02/22.67 thf(thm_2Earithmetic_2EMULT__CLAUSES, axiom, 169.02/22.67 (![V0m:mono_2Etyop_2Enum_2Enum,V1n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( ( mono_2Ec_2Earithmetic_2E_2A @ V0m @ mono_2Ec_2Enum_2E0 ) = 169.02/22.67 ( mono_2Ec_2Enum_2E0 ) ) & 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 V0m @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) = 169.02/22.67 ( V0m ) ) & 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2E_2A @ V0m @ ( mono_2Ec_2Enum_2ESUC @ V1n ) ) = 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2B @ 169.02/22.67 V0m @ ( mono_2Ec_2Earithmetic_2E_2A @ V0m @ V1n ) ) ) & 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Enum_2ESUC @ V0m ) @ V1n ) = 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2B @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2A @ V0m @ V1n ) @ V1n ) ) & 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ 169.02/22.67 V0m ) = 169.02/22.67 ( V0m ) ) & 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2E_2A @ mono_2Ec_2Enum_2E0 @ V0m ) = 169.02/22.67 ( mono_2Ec_2Enum_2E0 ) ) ))). 169.02/22.67 thf(zip_derived_cl85, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2A @ X0 @ mono_2Ec_2Enum_2E0) 169.02/22.67 = (mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EMULT__CLAUSES])). 169.02/22.67 thf(thm_2Earithmetic_2EEVEN__DOUBLE, axiom, 169.02/22.67 (![V0n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( mono_2Ec_2Earithmetic_2EEVEN @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ 169.02/22.67 V0n ) ))). 169.02/22.67 thf(zip_derived_cl65, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (mono_2Ec_2Earithmetic_2EEVEN @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ 169.02/22.67 X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EEVEN__DOUBLE])). 169.02/22.67 thf(thm_2Earithmetic_2EALT__ZERO, axiom, 169.02/22.67 (( mono_2Ec_2Earithmetic_2EZERO ) = ( mono_2Ec_2Enum_2E0 ))). 169.02/22.67 thf(zip_derived_cl63, plain, 169.02/22.67 (((mono_2Ec_2Earithmetic_2EZERO) = (mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EALT__ZERO])). 169.02/22.67 thf(thm_2Earithmetic_2ENUMERAL__DEF, axiom, 169.02/22.67 (![V0x:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2ENUMERAL @ V0x ) = ( V0x ) ))). 169.02/22.67 thf(zip_derived_cl12, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2ENUMERAL @ X0) = (X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ENUMERAL__DEF])). 169.02/22.67 thf(zip_derived_cl229, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (mono_2Ec_2Earithmetic_2EEVEN @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Enum_2E0) @ X0))), 169.02/22.67 inference('demod', [status(thm)], 169.02/22.67 [zip_derived_cl65, zip_derived_cl63, zip_derived_cl12])). 169.02/22.67 thf(zip_derived_cl232, plain, 169.02/22.67 ( (mono_2Ec_2Earithmetic_2EEVEN @ mono_2Ec_2Enum_2E0)), 169.02/22.67 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl229])). 169.02/22.67 thf(thm_2Earithmetic_2EMOD__PLUS, axiom, 169.02/22.67 (![V0n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ V0n ) => 169.02/22.67 ( ![V1j:mono_2Etyop_2Enum_2Enum,V2k:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2EMOD @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2B @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EMOD @ V1j @ V0n ) @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EMOD @ V2k @ V0n ) ) @ 169.02/22.67 V0n ) = 169.02/22.67 ( mono_2Ec_2Earithmetic_2EMOD @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2B @ V1j @ V2k ) @ V0n ) ) ) ))). 169.02/22.67 thf(zip_derived_cl118, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum, 169.02/22.67 X2 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (((mono_2Ec_2Earithmetic_2EMOD @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2B @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EMOD @ X0 @ X2) @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EMOD @ X1 @ X2)) @ 169.02/22.67 X2) 169.02/22.67 = (mono_2Ec_2Earithmetic_2EMOD @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2B @ X0 @ X1) @ X2)) 169.02/22.67 | ~ (mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X2))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EMOD__PLUS])). 169.02/22.67 thf(zip_derived_cl85, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2A @ X0 @ mono_2Ec_2Enum_2E0) 169.02/22.67 = (mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EMULT__CLAUSES])). 169.02/22.67 thf(thm_2Earithmetic_2ENUMERAL__MULT__EQ__DIV, axiom, 169.02/22.67 (![V0z:mono_2Etyop_2Enum_2Enum,V1y:mono_2Etyop_2Enum_2Enum, 169.02/22.67 V2x:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( ( ( mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT2 @ V2x ) ) @ 169.02/22.67 V1y ) = 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ V0z ) ) <=> 169.02/22.67 ( ( ( V1y ) = 169.02/22.67 ( mono_2Ec_2Earithmetic_2EDIV @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ V0z ) @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT2 @ V2x ) ) ) ) & 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2EMOD @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ V0z ) @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT2 @ V2x ) ) ) = 169.02/22.67 ( mono_2Ec_2Enum_2E0 ) ) ) ) & 169.02/22.67 ( ( ( ( V1y ) = 169.02/22.67 ( mono_2Ec_2Earithmetic_2EDIV @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ V0z ) @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT1 @ V2x ) ) ) ) & 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2EMOD @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ V0z ) @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT1 @ V2x ) ) ) = 169.02/22.67 ( mono_2Ec_2Enum_2E0 ) ) ) <=> 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT1 @ V2x ) ) @ 169.02/22.67 V1y ) = 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ V0z ) ) ) ))). 169.02/22.67 thf(zip_derived_cl28, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum, 169.02/22.67 X2 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (((X2) 169.02/22.67 = (mono_2Ec_2Earithmetic_2EDIV @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ X0) @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ X1)))) 169.02/22.67 | ((mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ X1)) @ 169.02/22.67 X2) != (mono_2Ec_2Earithmetic_2ENUMERAL @ X0)))), 169.02/22.67 inference('cnf', [status(esa)], 169.02/22.67 [thm_2Earithmetic_2ENUMERAL__MULT__EQ__DIV])). 169.02/22.67 thf(zip_derived_cl12, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2ENUMERAL @ X0) = (X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ENUMERAL__DEF])). 169.02/22.67 thf(zip_derived_cl12, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2ENUMERAL @ X0) = (X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ENUMERAL__DEF])). 169.02/22.67 thf(zip_derived_cl12, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2ENUMERAL @ X0) = (X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ENUMERAL__DEF])). 169.02/22.67 thf(zip_derived_cl12, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2ENUMERAL @ X0) = (X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ENUMERAL__DEF])). 169.02/22.67 thf(zip_derived_cl4223, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum, 169.02/22.67 X2 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (((X2) 169.02/22.67 = (mono_2Ec_2Earithmetic_2EDIV @ X0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ X1))) 169.02/22.67 | ((mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ X1) @ X2) != (X0)))), 169.02/22.67 inference('demod', [status(thm)], 169.02/22.67 [zip_derived_cl28, zip_derived_cl12, zip_derived_cl12, 169.02/22.67 zip_derived_cl12, zip_derived_cl12])). 169.02/22.67 thf(zip_derived_cl4224, plain, 169.02/22.67 (![X1 : mono_2Etyop_2Enum_2Enum, X2 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((X2) 169.02/22.67 = (mono_2Ec_2Earithmetic_2EDIV @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ X1) @ X2) @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ X1)))), 169.02/22.67 inference('simplify', [status(thm)], [zip_derived_cl4223])). 169.02/22.67 thf(zip_derived_cl4232, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Enum_2E0) 169.02/22.67 = (mono_2Ec_2Earithmetic_2EDIV @ mono_2Ec_2Enum_2E0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ X0)))), 169.02/22.67 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl4224])). 169.02/22.67 thf(thm_2Earithmetic_2ELESS__MOD, axiom, 169.02/22.67 (![V0n:mono_2Etyop_2Enum_2Enum,V1k:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Eprim__rec_2E_3C @ V1k @ V0n ) => 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2EMOD @ V1k @ V0n ) = ( V1k ) ) ))). 169.02/22.67 thf(zip_derived_cl11, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (((mono_2Ec_2Earithmetic_2EMOD @ X0 @ X1) = (X0)) 169.02/22.67 | ~ (mono_2Ec_2Eprim__rec_2E_3C @ X0 @ X1))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ELESS__MOD])). 169.02/22.67 thf(thm_2Earithmetic_2EODD__EXISTS, axiom, 169.02/22.67 (![V0n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( ?[V1m:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( V0n ) = 169.02/22.67 ( mono_2Ec_2Enum_2ESUC @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ 169.02/22.67 V1m ) ) ) ) <=> 169.02/22.67 ( mono_2Ec_2Earithmetic_2EODD @ V0n ) ))). 169.02/22.67 thf(zip_derived_cl87, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (((X0) 169.02/22.67 = (mono_2Ec_2Enum_2ESUC @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ 169.02/22.67 (sk__9 @ X0)))) 169.02/22.67 | ~ (mono_2Ec_2Earithmetic_2EODD @ X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EODD__EXISTS])). 169.02/22.67 thf(thm_2Earithmetic_2EMOD__LESS, axiom, 169.02/22.67 (![V0m:mono_2Etyop_2Enum_2Enum,V1n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ V1n ) => 169.02/22.67 ( mono_2Ec_2Eprim__rec_2E_3C @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EMOD @ V0m @ V1n ) @ V1n ) ))). 169.02/22.67 thf(zip_derived_cl46, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( (mono_2Ec_2Eprim__rec_2E_3C @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EMOD @ X0 @ X1) @ X1) 169.02/22.67 | ~ (mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X1))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EMOD__LESS])). 169.02/22.67 thf(thm_2Earithmetic_2EADD__EQ__1, axiom, 169.02/22.67 (![V0m:mono_2Etyop_2Enum_2Enum,V1n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( ( mono_2Ec_2Earithmetic_2E_2B @ V0m @ V1n ) = 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) <=> 169.02/22.67 ( ( ( ( V0m ) = 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) & 169.02/22.67 ( ( V1n ) = ( mono_2Ec_2Enum_2E0 ) ) ) | 169.02/22.67 ( ( ( V0m ) = ( mono_2Ec_2Enum_2E0 ) ) & 169.02/22.67 ( ( V1n ) = 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ))). 169.02/22.67 thf(zip_derived_cl143, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (((X0) = (mono_2Ec_2Enum_2E0)) 169.02/22.67 | ((X1) = (mono_2Ec_2Enum_2E0)) 169.02/22.67 | ((mono_2Ec_2Earithmetic_2E_2B @ X0 @ X1) 169.02/22.67 != (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EADD__EQ__1])). 169.02/22.67 thf(thm_2Earithmetic_2ESUB, axiom, 169.02/22.67 (( ![V0m:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2E_2D @ mono_2Ec_2Enum_2E0 @ V0m ) = 169.02/22.67 ( mono_2Ec_2Enum_2E0 ) ) ) & 169.02/22.67 ( ![V1m:mono_2Etyop_2Enum_2Enum,V2n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2E_2D @ ( mono_2Ec_2Enum_2ESUC @ V1m ) @ V2n ) = 169.02/22.67 ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ 169.02/22.67 ( mono_2Ec_2Eprim__rec_2E_3C @ V1m @ V2n ) @ mono_2Ec_2Enum_2E0 @ 169.02/22.67 ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2D @ V1m @ V2n ) ) ) ) ))). 169.02/22.67 thf(zip_derived_cl139, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2D @ (mono_2Ec_2Enum_2ESUC @ X0) @ X1) 169.02/22.67 = (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ 169.02/22.67 (mono_2Ec_2Eprim__rec_2E_3C @ X0 @ X1) @ mono_2Ec_2Enum_2E0 @ 169.02/22.67 (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2D @ X0 @ X1))))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ESUB])). 169.02/22.67 thf(zip_derived_cl85, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2A @ X0 @ mono_2Ec_2Enum_2E0) 169.02/22.67 = (mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EMULT__CLAUSES])). 169.02/22.67 thf(zip_derived_cl25, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum, 169.02/22.67 X2 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (((mono_2Ec_2Earithmetic_2EMOD @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ X0) @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ X1))) 169.02/22.67 = (mono_2Ec_2Enum_2E0)) 169.02/22.67 | ((mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ X1)) @ 169.02/22.67 X2) != (mono_2Ec_2Earithmetic_2ENUMERAL @ X0)))), 169.02/22.67 inference('cnf', [status(esa)], 169.02/22.67 [thm_2Earithmetic_2ENUMERAL__MULT__EQ__DIV])). 169.02/22.67 thf(zip_derived_cl12, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2ENUMERAL @ X0) = (X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ENUMERAL__DEF])). 169.02/22.67 thf(zip_derived_cl12, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2ENUMERAL @ X0) = (X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ENUMERAL__DEF])). 169.02/22.67 thf(zip_derived_cl12, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2ENUMERAL @ X0) = (X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ENUMERAL__DEF])). 169.02/22.67 thf(zip_derived_cl12, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2ENUMERAL @ X0) = (X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ENUMERAL__DEF])). 169.02/22.67 thf(zip_derived_cl3627, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum, 169.02/22.67 X2 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (((mono_2Ec_2Earithmetic_2EMOD @ X0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ X1)) = (mono_2Ec_2Enum_2E0)) 169.02/22.67 | ((mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ X1) @ X2) != (X0)))), 169.02/22.67 inference('demod', [status(thm)], 169.02/22.67 [zip_derived_cl25, zip_derived_cl12, zip_derived_cl12, 169.02/22.67 zip_derived_cl12, zip_derived_cl12])). 169.02/22.67 thf(zip_derived_cl3628, plain, 169.02/22.67 (![X1 : mono_2Etyop_2Enum_2Enum, X2 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2EMOD @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ X1) @ X2) @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ X1)) = (mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('simplify', [status(thm)], [zip_derived_cl3627])). 169.02/22.67 thf(zip_derived_cl3640, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2EMOD @ mono_2Ec_2Enum_2E0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ X0)) = (mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl3628])). 169.02/22.67 thf(thm_2Earithmetic_2EEVEN__EXISTS, axiom, 169.02/22.67 (![V0n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( ?[V1m:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( V0n ) = 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ 169.02/22.67 V1m ) ) ) <=> 169.02/22.67 ( mono_2Ec_2Earithmetic_2EEVEN @ V0n ) ))). 169.02/22.67 thf(zip_derived_cl134, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (((X0) 169.02/22.67 = (mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ 169.02/22.67 (sk__19 @ X0))) 169.02/22.67 | ~ (mono_2Ec_2Earithmetic_2EEVEN @ X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EEVEN__EXISTS])). 169.02/22.67 thf(thm_2Earithmetic_2EMOD__TIMES, axiom, 169.02/22.67 (![V0n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ V0n ) => 169.02/22.67 ( ![V1q:mono_2Etyop_2Enum_2Enum,V2r:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2EMOD @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2B @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2A @ V1q @ V0n ) @ V2r ) @ 169.02/22.67 V0n ) = 169.02/22.67 ( mono_2Ec_2Earithmetic_2EMOD @ V2r @ V0n ) ) ) ))). 169.02/22.67 thf(zip_derived_cl122, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum, 169.02/22.67 X2 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (((mono_2Ec_2Earithmetic_2EMOD @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2B @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2A @ X2 @ X1) @ X0) @ 169.02/22.67 X1) = (mono_2Ec_2Earithmetic_2EMOD @ X0 @ X1)) 169.02/22.67 | ~ (mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X1))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EMOD__TIMES])). 169.02/22.67 thf(thm_2Earithmetic_2ESUC__SUB1, axiom, 169.02/22.67 (![V0m:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2E_2D @ 169.02/22.67 ( mono_2Ec_2Enum_2ESUC @ V0m ) @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) = 169.02/22.67 ( V0m ) ))). 169.02/22.67 thf(zip_derived_cl117, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2D @ (mono_2Ec_2Enum_2ESUC @ X0) @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))) 169.02/22.67 = (X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ESUC__SUB1])). 169.02/22.67 thf(thm_2Earithmetic_2EMOD__MULT, axiom, 169.02/22.67 (![V0n:mono_2Etyop_2Enum_2Enum,V1r:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Eprim__rec_2E_3C @ V1r @ V0n ) => 169.02/22.67 ( ![V2q:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2EMOD @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2B @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2A @ V2q @ V0n ) @ V1r ) @ 169.02/22.67 V0n ) = 169.02/22.67 ( V1r ) ) ) ))). 169.02/22.67 thf(zip_derived_cl15, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum, 169.02/22.67 X2 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (((mono_2Ec_2Earithmetic_2EMOD @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2B @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2A @ X1 @ X2) @ X0) @ 169.02/22.67 X2) = (X0)) 169.02/22.67 | ~ (mono_2Ec_2Eprim__rec_2E_3C @ X0 @ X2))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EMOD__MULT])). 169.02/22.67 thf(thm_2Earithmetic_2EMAX__DEF, axiom, 169.02/22.67 (![V0m:mono_2Etyop_2Enum_2Enum,V1n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2EMAX @ V0m @ V1n ) = 169.02/22.67 ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ 169.02/22.67 ( mono_2Ec_2Eprim__rec_2E_3C @ V0m @ V1n ) @ V1n @ V0m ) ))). 169.02/22.67 thf(zip_derived_cl132, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2EMAX @ X0 @ X1) 169.02/22.67 = (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ 169.02/22.67 (mono_2Ec_2Eprim__rec_2E_3C @ X0 @ X1) @ X1 @ X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EMAX__DEF])). 169.02/22.67 thf(zip_derived_cl84, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2A @ X0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))) 169.02/22.67 = (X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EMULT__CLAUSES])). 169.02/22.67 thf(thm_2Earithmetic_2EMULT__RIGHT__1, axiom, 169.02/22.67 (![V0m:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 V0m @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) = 169.02/22.67 ( V0m ) ))). 169.02/22.67 thf(zip_derived_cl73, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2A @ X0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))) 169.02/22.67 = (X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EMULT__RIGHT__1])). 169.02/22.67 thf(zip_derived_cl63, plain, 169.02/22.67 (((mono_2Ec_2Earithmetic_2EZERO) = (mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EALT__ZERO])). 169.02/22.67 thf(zip_derived_cl12, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2ENUMERAL @ X0) = (X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ENUMERAL__DEF])). 169.02/22.67 thf(zip_derived_cl197, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2A @ X0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Enum_2E0)) = (X0))), 169.02/22.67 inference('demod', [status(thm)], 169.02/22.67 [zip_derived_cl73, zip_derived_cl63, zip_derived_cl12])). 169.02/22.67 thf(thm_2Earithmetic_2EODD__DOUBLE, axiom, 169.02/22.67 (![V0n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( mono_2Ec_2Earithmetic_2EODD @ 169.02/22.67 ( mono_2Ec_2Enum_2ESUC @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ 169.02/22.67 V0n ) ) ))). 169.02/22.67 thf(zip_derived_cl123, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (mono_2Ec_2Earithmetic_2EODD @ 169.02/22.67 (mono_2Ec_2Enum_2ESUC @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ 169.02/22.67 X0)))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EODD__DOUBLE])). 169.02/22.67 thf(zip_derived_cl63, plain, 169.02/22.67 (((mono_2Ec_2Earithmetic_2EZERO) = (mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EALT__ZERO])). 169.02/22.67 thf(zip_derived_cl12, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2ENUMERAL @ X0) = (X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ENUMERAL__DEF])). 169.02/22.67 thf(zip_derived_cl300, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (mono_2Ec_2Earithmetic_2EODD @ 169.02/22.67 (mono_2Ec_2Enum_2ESUC @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Enum_2E0) @ X0)))), 169.02/22.67 inference('demod', [status(thm)], 169.02/22.67 [zip_derived_cl123, zip_derived_cl63, zip_derived_cl12])). 169.02/22.67 thf(zip_derived_cl302, plain, 169.02/22.67 ( (mono_2Ec_2Earithmetic_2EODD @ 169.02/22.67 (mono_2Ec_2Enum_2ESUC @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Enum_2E0)))), 169.02/22.67 inference('sup+', [status(thm)], [zip_derived_cl197, zip_derived_cl300])). 169.02/22.67 thf(zip_derived_cl81, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2A @ X0 @ (mono_2Ec_2Enum_2ESUC @ X1)) 169.02/22.67 = (mono_2Ec_2Earithmetic_2E_2B @ X0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2A @ X0 @ X1)))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EMULT__CLAUSES])). 169.02/22.67 thf(zip_derived_cl83, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)) @ 169.02/22.67 X0) = (X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EMULT__CLAUSES])). 169.02/22.67 thf(thm_2Earithmetic_2EEVEN__MULT, axiom, 169.02/22.67 (![V0m:mono_2Etyop_2Enum_2Enum,V1n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( ( mono_2Ec_2Earithmetic_2EEVEN @ V1n ) | 169.02/22.67 ( mono_2Ec_2Earithmetic_2EEVEN @ V0m ) ) <=> 169.02/22.67 ( mono_2Ec_2Earithmetic_2EEVEN @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2A @ V0m @ V1n ) ) ))). 169.02/22.67 thf(zip_derived_cl42, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( (mono_2Ec_2Earithmetic_2EEVEN @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2A @ X0 @ X1)) 169.02/22.67 | ~ (mono_2Ec_2Earithmetic_2EEVEN @ X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EEVEN__MULT])). 169.02/22.67 thf(thm_2Earithmetic_2EEVEN__ADD, axiom, 169.02/22.67 (![V0m:mono_2Etyop_2Enum_2Enum,V1n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( ( mono_2Ec_2Earithmetic_2EEVEN @ V0m ) <=> 169.02/22.67 ( mono_2Ec_2Earithmetic_2EEVEN @ V1n ) ) <=> 169.02/22.67 ( mono_2Ec_2Earithmetic_2EEVEN @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2B @ V0m @ V1n ) ) ))). 169.02/22.67 thf(zip_derived_cl154, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (~ (mono_2Ec_2Earithmetic_2EEVEN @ X0) 169.02/22.67 | (mono_2Ec_2Earithmetic_2EEVEN @ X1) 169.02/22.67 | ~ (mono_2Ec_2Earithmetic_2EEVEN @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2B @ X0 @ X1)))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EEVEN__ADD])). 169.02/22.67 thf(thm_2Earithmetic_2EEVEN__ODD__EXISTS, axiom, 169.02/22.67 (![V0n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( ( mono_2Ec_2Earithmetic_2EEVEN @ V0n ) => 169.02/22.67 ( ?[V1m:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( V0n ) = 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ 169.02/22.67 V1m ) ) ) ) & 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2EODD @ V0n ) => 169.02/22.67 ( ?[V2m:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( V0n ) = 169.02/22.67 ( mono_2Ec_2Enum_2ESUC @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT2 @ 169.02/22.67 mono_2Ec_2Earithmetic_2EZERO ) ) @ 169.02/22.67 V2m ) ) ) ) ) ))). 169.02/22.67 thf(zip_derived_cl120, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (((X0) 169.02/22.67 = (mono_2Ec_2Enum_2ESUC @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ 169.02/22.67 (sk__17 @ X0)))) 169.02/22.67 | ~ (mono_2Ec_2Earithmetic_2EODD @ X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EEVEN__ODD__EXISTS])). 169.02/22.67 thf(thm_2Earithmetic_2ELT__MULT__CANCEL__LBARE, axiom, 169.02/22.67 (![V0n:mono_2Etyop_2Enum_2Enum,V1m:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( ( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ V1m ) & 169.02/22.67 ( mono_2Ec_2Eprim__rec_2E_3C @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ 169.02/22.67 V0n ) ) <=> 169.02/22.67 ( mono_2Ec_2Eprim__rec_2E_3C @ 169.02/22.67 V1m @ ( mono_2Ec_2Earithmetic_2E_2A @ V0n @ V1m ) ) ) & 169.02/22.67 ( ( mono_2Ec_2Eprim__rec_2E_3C @ 169.02/22.67 V1m @ ( mono_2Ec_2Earithmetic_2E_2A @ V1m @ V0n ) ) <=> 169.02/22.67 ( ( mono_2Ec_2Eprim__rec_2E_3C @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ 169.02/22.67 V0n ) & 169.02/22.67 ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ V1m ) ) ) ))). 169.02/22.67 thf(zip_derived_cl70, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( (mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X0) 169.02/22.67 | ~ (mono_2Ec_2Eprim__rec_2E_3C @ X0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2A @ X1 @ X0)))), 169.02/22.67 inference('cnf', [status(esa)], 169.02/22.67 [thm_2Earithmetic_2ELT__MULT__CANCEL__LBARE])). 169.02/22.67 thf(thm_2Earithmetic_2EABS__DIFF__def, axiom, 169.02/22.67 (![V0n:mono_2Etyop_2Enum_2Enum,V1m:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2EABS__DIFF @ V0n @ V1m ) = 169.02/22.67 ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ 169.02/22.67 ( mono_2Ec_2Eprim__rec_2E_3C @ V0n @ V1m ) @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2D @ V1m @ V0n ) @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2D @ V0n @ V1m ) ) ))). 169.02/22.67 thf(zip_derived_cl66, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2EABS__DIFF @ X0 @ X1) 169.02/22.67 = (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ 169.02/22.67 (mono_2Ec_2Eprim__rec_2E_3C @ X0 @ X1) @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2D @ X1 @ X0) @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2D @ X0 @ X1)))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EABS__DIFF__def])). 169.02/22.67 thf(thm_2Earithmetic_2ETIMES2, axiom, 169.02/22.67 (![V0n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ 169.02/22.67 V0n ) = 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2B @ V0n @ V0n ) ))). 169.02/22.67 thf(zip_derived_cl9, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ 169.02/22.67 X0) = (mono_2Ec_2Earithmetic_2E_2B @ X0 @ X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ETIMES2])). 169.02/22.67 thf(zip_derived_cl63, plain, 169.02/22.67 (((mono_2Ec_2Earithmetic_2EZERO) = (mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EALT__ZERO])). 169.02/22.67 thf(zip_derived_cl12, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2ENUMERAL @ X0) = (X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ENUMERAL__DEF])). 169.02/22.67 thf(zip_derived_cl335, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Enum_2E0) @ X0) 169.02/22.67 = (mono_2Ec_2Earithmetic_2E_2B @ X0 @ X0))), 169.02/22.67 inference('demod', [status(thm)], 169.02/22.67 [zip_derived_cl9, zip_derived_cl63, zip_derived_cl12])). 169.02/22.67 thf(zip_derived_cl229, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (mono_2Ec_2Earithmetic_2EEVEN @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Enum_2E0) @ X0))), 169.02/22.67 inference('demod', [status(thm)], 169.02/22.67 [zip_derived_cl65, zip_derived_cl63, zip_derived_cl12])). 169.02/22.67 thf(zip_derived_cl337, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (mono_2Ec_2Earithmetic_2EEVEN @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2B @ X0 @ X0))), 169.02/22.67 inference('sup+', [status(thm)], [zip_derived_cl335, zip_derived_cl229])). 169.02/22.67 thf(zip_derived_cl80, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Enum_2ESUC @ X0) @ X1) 169.02/22.67 = (mono_2Ec_2Earithmetic_2E_2B @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2A @ X0 @ X1) @ X1))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EMULT__CLAUSES])). 169.02/22.67 thf(zip_derived_cl82, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2A @ mono_2Ec_2Enum_2E0 @ X0) 169.02/22.67 = (mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EMULT__CLAUSES])). 169.02/22.67 thf(thm_2Earithmetic_2ESUC__SUB, axiom, 169.02/22.67 (![V0a:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2E_2D @ ( mono_2Ec_2Enum_2ESUC @ V0a ) @ V0a ) = 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ))). 169.02/22.67 thf(zip_derived_cl22, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2D @ (mono_2Ec_2Enum_2ESUC @ X0) @ X0) 169.02/22.67 = (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ESUC__SUB])). 169.02/22.67 thf(zip_derived_cl121, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (((X0) 169.02/22.67 = (mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ 169.02/22.67 (sk__16 @ X0))) 169.02/22.67 | ~ (mono_2Ec_2Earithmetic_2EEVEN @ X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EEVEN__ODD__EXISTS])). 169.02/22.67 thf(zip_derived_cl82, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2A @ mono_2Ec_2Enum_2E0 @ X0) 169.02/22.67 = (mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EMULT__CLAUSES])). 169.02/22.67 thf(zip_derived_cl80, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Enum_2ESUC @ X0) @ X1) 169.02/22.67 = (mono_2Ec_2Earithmetic_2E_2B @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2A @ X0 @ X1) @ X1))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EMULT__CLAUSES])). 169.02/22.67 thf(zip_derived_cl392, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0) @ X0) 169.02/22.67 = (mono_2Ec_2Earithmetic_2E_2B @ mono_2Ec_2Enum_2E0 @ X0))), 169.02/22.67 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl80])). 169.02/22.67 thf(thm_2Earithmetic_2EONE, axiom, 169.02/22.67 (( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) = 169.02/22.67 ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ))). 169.02/22.67 thf(zip_derived_cl30, plain, 169.02/22.67 (((mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)) 169.02/22.67 = (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EONE])). 169.02/22.67 thf(zip_derived_cl63, plain, 169.02/22.67 (((mono_2Ec_2Earithmetic_2EZERO) = (mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EALT__ZERO])). 169.02/22.67 thf(zip_derived_cl12, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2ENUMERAL @ X0) = (X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ENUMERAL__DEF])). 169.02/22.67 thf(zip_derived_cl161, plain, 169.02/22.67 (((mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Enum_2E0) 169.02/22.67 = (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('demod', [status(thm)], 169.02/22.67 [zip_derived_cl30, zip_derived_cl63, zip_derived_cl12])). 169.02/22.67 thf(thm_2Earithmetic_2EMULT__LEFT__1, axiom, 169.02/22.67 (![V0m:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ 169.02/22.67 V0m ) = 169.02/22.67 ( V0m ) ))). 169.02/22.67 thf(zip_derived_cl23, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)) @ 169.02/22.67 X0) = (X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EMULT__LEFT__1])). 169.02/22.67 thf(zip_derived_cl63, plain, 169.02/22.67 (((mono_2Ec_2Earithmetic_2EZERO) = (mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EALT__ZERO])). 169.02/22.67 thf(zip_derived_cl12, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2ENUMERAL @ X0) = (X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ENUMERAL__DEF])). 169.02/22.67 thf(zip_derived_cl196, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Enum_2E0) @ X0) = ( 169.02/22.67 X0))), 169.02/22.67 inference('demod', [status(thm)], 169.02/22.67 [zip_derived_cl23, zip_derived_cl63, zip_derived_cl12])). 169.02/22.67 thf(zip_derived_cl413, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((X0) = (mono_2Ec_2Earithmetic_2E_2B @ mono_2Ec_2Enum_2E0 @ X0))), 169.02/22.67 inference('demod', [status(thm)], 169.02/22.67 [zip_derived_cl392, zip_derived_cl161, zip_derived_cl196])). 169.02/22.67 thf(zip_derived_cl85, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2A @ X0 @ mono_2Ec_2Enum_2E0) 169.02/22.67 = (mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EMULT__CLAUSES])). 169.02/22.67 thf(zip_derived_cl29, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum, 169.02/22.67 X2 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (((mono_2Ec_2Earithmetic_2EMOD @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ X0) @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ X1))) 169.02/22.67 = (mono_2Ec_2Enum_2E0)) 169.02/22.67 | ((mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ X1)) @ 169.02/22.67 X2) != (mono_2Ec_2Earithmetic_2ENUMERAL @ X0)))), 169.02/22.67 inference('cnf', [status(esa)], 169.02/22.67 [thm_2Earithmetic_2ENUMERAL__MULT__EQ__DIV])). 169.02/22.67 thf(zip_derived_cl12, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2ENUMERAL @ X0) = (X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ENUMERAL__DEF])). 169.02/22.67 thf(zip_derived_cl12, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2ENUMERAL @ X0) = (X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ENUMERAL__DEF])). 169.02/22.67 thf(zip_derived_cl12, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2ENUMERAL @ X0) = (X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ENUMERAL__DEF])). 169.02/22.67 thf(zip_derived_cl12, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2ENUMERAL @ X0) = (X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ENUMERAL__DEF])). 169.02/22.67 thf(zip_derived_cl4747, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum, 169.02/22.67 X2 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (((mono_2Ec_2Earithmetic_2EMOD @ X0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ X1)) = (mono_2Ec_2Enum_2E0)) 169.02/22.67 | ((mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ X1) @ X2) != (X0)))), 169.02/22.67 inference('demod', [status(thm)], 169.02/22.67 [zip_derived_cl29, zip_derived_cl12, zip_derived_cl12, 169.02/22.67 zip_derived_cl12, zip_derived_cl12])). 169.02/22.67 thf(zip_derived_cl4748, plain, 169.02/22.67 (![X1 : mono_2Etyop_2Enum_2Enum, X2 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2EMOD @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ X1) @ X2) @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ X1)) = (mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('simplify', [status(thm)], [zip_derived_cl4747])). 169.02/22.67 thf(zip_derived_cl4766, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2EMOD @ mono_2Ec_2Enum_2E0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ X0)) = (mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl4748])). 169.02/22.67 thf(zip_derived_cl85, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2A @ X0 @ mono_2Ec_2Enum_2E0) 169.02/22.67 = (mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EMULT__CLAUSES])). 169.02/22.67 thf(zip_derived_cl27, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum, 169.02/22.67 X2 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (((mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ X1)) @ 169.02/22.67 X2) = (mono_2Ec_2Earithmetic_2ENUMERAL @ X0)) 169.02/22.67 | ((mono_2Ec_2Earithmetic_2EMOD @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ X0) @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ X1))) 169.02/22.67 != (mono_2Ec_2Enum_2E0)) 169.02/22.67 | ((X2) 169.02/22.67 != (mono_2Ec_2Earithmetic_2EDIV @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ X0) @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ X1)))))), 169.02/22.67 inference('cnf', [status(esa)], 169.02/22.67 [thm_2Earithmetic_2ENUMERAL__MULT__EQ__DIV])). 169.02/22.67 thf(thm_2Earithmetic_2EADD__MODULUS, axiom, 169.02/22.67 (( ![V2n:mono_2Etyop_2Enum_2Enum,V3x:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ V2n ) => 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2EMOD @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2B @ V2n @ V3x ) @ V2n ) = 169.02/22.67 ( mono_2Ec_2Earithmetic_2EMOD @ V3x @ V2n ) ) ) ) & 169.02/22.67 ( ![V0n:mono_2Etyop_2Enum_2Enum,V1x:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ V0n ) => 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2EMOD @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2B @ V1x @ V0n ) @ V0n ) = 169.02/22.67 ( mono_2Ec_2Earithmetic_2EMOD @ V1x @ V0n ) ) ) ))). 169.02/22.67 thf(zip_derived_cl104, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (~ (mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X0) 169.02/22.67 | ((mono_2Ec_2Earithmetic_2EMOD @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2B @ X1 @ X0) @ X0) 169.02/22.67 = (mono_2Ec_2Earithmetic_2EMOD @ X1 @ X0)))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EADD__MODULUS])). 169.02/22.67 thf(thm_2Earithmetic_2EX__MOD__Y__EQ__X, axiom, 169.02/22.67 (![V0x:mono_2Etyop_2Enum_2Enum,V1y:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ V1y ) => 169.02/22.67 ( ( mono_2Ec_2Eprim__rec_2E_3C @ V0x @ V1y ) <=> 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2EMOD @ V0x @ V1y ) = ( V0x ) ) ) ))). 169.02/22.67 thf(zip_derived_cl39, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (((mono_2Ec_2Earithmetic_2EMOD @ X0 @ X1) != (X0)) 169.02/22.67 | (mono_2Ec_2Eprim__rec_2E_3C @ X0 @ X1) 169.02/22.67 | ~ (mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X1))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EX__MOD__Y__EQ__X])). 169.02/22.67 thf(thm_2Earithmetic_2ELE__LT1, axiom, 169.02/22.67 (![V0x:mono_2Etyop_2Enum_2Enum,V1y:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V0x @ V1y ) <=> 169.02/22.67 ( mono_2Ec_2Eprim__rec_2E_3C @ 169.02/22.67 V0x @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2B @ 169.02/22.67 V1y @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ))). 169.02/22.67 thf(zip_derived_cl1, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( (mono_2Ec_2Earithmetic_2E_3C_3D @ X0 @ X1) 169.02/22.67 | ~ (mono_2Ec_2Eprim__rec_2E_3C @ X0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2B @ X1 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)))))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ELE__LT1])). 169.02/22.67 thf(zip_derived_cl197, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2A @ X0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Enum_2E0)) = (X0))), 169.02/22.67 inference('demod', [status(thm)], 169.02/22.67 [zip_derived_cl73, zip_derived_cl63, zip_derived_cl12])). 169.02/22.67 thf(zip_derived_cl229, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (mono_2Ec_2Earithmetic_2EEVEN @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Enum_2E0) @ X0))), 169.02/22.67 inference('demod', [status(thm)], 169.02/22.67 [zip_derived_cl65, zip_derived_cl63, zip_derived_cl12])). 169.02/22.67 thf(zip_derived_cl231, plain, 169.02/22.67 ( (mono_2Ec_2Earithmetic_2EEVEN @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('sup+', [status(thm)], [zip_derived_cl197, zip_derived_cl229])). 169.02/22.67 thf(zip_derived_cl151, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( (mono_2Ec_2Earithmetic_2EEVEN @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2B @ X0 @ X1)) 169.02/22.67 | ~ (mono_2Ec_2Earithmetic_2EEVEN @ X1) 169.02/22.67 | ~ (mono_2Ec_2Earithmetic_2EEVEN @ X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EEVEN__ADD])). 169.02/22.67 thf(thm_2Earithmetic_2EDIV2__def, axiom, 169.02/22.67 (![V0n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2EDIV2 @ V0n ) = 169.02/22.67 ( mono_2Ec_2Earithmetic_2EDIV @ 169.02/22.67 V0n @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ))). 169.02/22.67 thf(zip_derived_cl55, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2EDIV2 @ X0) 169.02/22.67 = (mono_2Ec_2Earithmetic_2EDIV @ X0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EDIV2__def])). 169.02/22.67 thf(zip_derived_cl28, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum, 169.02/22.67 X2 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (((X2) 169.02/22.67 = (mono_2Ec_2Earithmetic_2EDIV @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ X0) @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ X1)))) 169.02/22.67 | ((mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ X1)) @ 169.02/22.67 X2) != (mono_2Ec_2Earithmetic_2ENUMERAL @ X0)))), 169.02/22.67 inference('cnf', [status(esa)], 169.02/22.67 [thm_2Earithmetic_2ENUMERAL__MULT__EQ__DIV])). 169.02/22.67 thf(thm_2Earithmetic_2EBIT1, axiom, 169.02/22.67 (![V0n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2EBIT1 @ V0n ) = 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2B @ 169.02/22.67 V0n @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2B @ 169.02/22.67 V0n @ ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) ) ) ))). 169.02/22.67 thf(zip_derived_cl119, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2EBIT1 @ X0) 169.02/22.67 = (mono_2Ec_2Earithmetic_2E_2B @ X0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2B @ X0 @ 169.02/22.67 (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EBIT1])). 169.02/22.67 thf(thm_2Earithmetic_2ESUC__ONE__ADD, axiom, 169.02/22.67 (![V0n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Enum_2ESUC @ V0n ) = 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2B @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ 169.02/22.67 V0n ) ))). 169.02/22.67 thf(zip_derived_cl155, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Enum_2ESUC @ X0) 169.02/22.67 = (mono_2Ec_2Earithmetic_2E_2B @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)) @ 169.02/22.67 X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ESUC__ONE__ADD])). 169.02/22.67 thf(zip_derived_cl9, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ 169.02/22.67 X0) = (mono_2Ec_2Earithmetic_2E_2B @ X0 @ X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ETIMES2])). 169.02/22.67 thf(zip_derived_cl29, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum, 169.02/22.67 X2 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (((mono_2Ec_2Earithmetic_2EMOD @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ X0) @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ X1))) 169.02/22.67 = (mono_2Ec_2Enum_2E0)) 169.02/22.67 | ((mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ X1)) @ 169.02/22.67 X2) != (mono_2Ec_2Earithmetic_2ENUMERAL @ X0)))), 169.02/22.67 inference('cnf', [status(esa)], 169.02/22.67 [thm_2Earithmetic_2ENUMERAL__MULT__EQ__DIV])). 169.02/22.67 thf(thm_2Earithmetic_2EMOD__TIMES2, axiom, 169.02/22.67 (![V0n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ V0n ) => 169.02/22.67 ( ![V1j:mono_2Etyop_2Enum_2Enum,V2k:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2EMOD @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EMOD @ V1j @ V0n ) @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EMOD @ V2k @ V0n ) ) @ 169.02/22.67 V0n ) = 169.02/22.67 ( mono_2Ec_2Earithmetic_2EMOD @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2A @ V1j @ V2k ) @ V0n ) ) ) ))). 169.02/22.67 thf(zip_derived_cl14, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum, 169.02/22.67 X2 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (((mono_2Ec_2Earithmetic_2EMOD @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EMOD @ X0 @ X2) @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EMOD @ X1 @ X2)) @ 169.02/22.67 X2) 169.02/22.67 = (mono_2Ec_2Earithmetic_2EMOD @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2A @ X0 @ X1) @ X2)) 169.02/22.67 | ~ (mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X2))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EMOD__TIMES2])). 169.02/22.67 thf(zip_derived_cl152, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( (mono_2Ec_2Earithmetic_2EEVEN @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2B @ X0 @ X1)) 169.02/22.67 | (mono_2Ec_2Earithmetic_2EEVEN @ X1) 169.02/22.67 | (mono_2Ec_2Earithmetic_2EEVEN @ X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EEVEN__ADD])). 169.02/22.67 thf(zip_derived_cl153, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (~ (mono_2Ec_2Earithmetic_2EEVEN @ X0) 169.02/22.67 | (mono_2Ec_2Earithmetic_2EEVEN @ X1) 169.02/22.67 | ~ (mono_2Ec_2Earithmetic_2EEVEN @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2B @ X1 @ X0)))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EEVEN__ADD])). 169.02/22.67 thf(zip_derived_cl123, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (mono_2Ec_2Earithmetic_2EODD @ 169.02/22.67 (mono_2Ec_2Enum_2ESUC @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ 169.02/22.67 X0)))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EODD__DOUBLE])). 169.02/22.67 thf(thm_2Earithmetic_2EEVEN__AND__ODD, axiom, 169.02/22.67 (![V0n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ~( ( mono_2Ec_2Earithmetic_2EEVEN @ V0n ) & 169.02/22.67 ( mono_2Ec_2Earithmetic_2EODD @ V0n ) ) ))). 169.02/22.67 thf(zip_derived_cl126, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (~ (mono_2Ec_2Earithmetic_2EEVEN @ X0) 169.02/22.67 | ~ (mono_2Ec_2Earithmetic_2EODD @ X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EEVEN__AND__ODD])). 169.02/22.67 thf(zip_derived_cl65, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (mono_2Ec_2Earithmetic_2EEVEN @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ 169.02/22.67 X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EEVEN__DOUBLE])). 169.02/22.67 thf(thm_2Earithmetic_2EODD__OR__EVEN, axiom, 169.02/22.67 (![V0n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ?[V1m:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( ( V0n ) = 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 ( mono_2Ec_2Enum_2ESUC @ 169.02/22.67 ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) ) @ 169.02/22.67 V1m ) ) | 169.02/22.67 ( ( V0n ) = 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2B @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 ( mono_2Ec_2Enum_2ESUC @ 169.02/22.67 ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) ) @ 169.02/22.67 V1m ) @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ))). 169.02/22.67 thf(zip_derived_cl103, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (((X0) 169.02/22.67 = (mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Enum_2ESUC @ 169.02/22.67 (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)) @ 169.02/22.67 (sk__12 @ X0))) 169.02/22.67 | ((X0) 169.02/22.67 = (mono_2Ec_2Earithmetic_2E_2B @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2A @ 169.02/22.67 (mono_2Ec_2Enum_2ESUC @ 169.02/22.67 (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)) @ 169.02/22.67 (sk__12 @ X0)) @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)))))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EODD__OR__EVEN])). 169.02/22.67 thf(thm_2Earithmetic_2EEVEN, axiom, 169.02/22.67 (( ![V0n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( ~( mono_2Ec_2Earithmetic_2EEVEN @ V0n ) ) <=> 169.02/22.67 ( mono_2Ec_2Earithmetic_2EEVEN @ ( mono_2Ec_2Enum_2ESUC @ V0n ) ) ) ) & 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2EEVEN @ mono_2Ec_2Enum_2E0 ) <=> 169.02/22.67 ( mono_2Ec_2Ebool_2ET ) ))). 169.02/22.67 thf(zip_derived_cl113, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (~ (mono_2Ec_2Earithmetic_2EEVEN @ X0) 169.02/22.67 | ~ (mono_2Ec_2Earithmetic_2EEVEN @ (mono_2Ec_2Enum_2ESUC @ X0)))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EEVEN])). 169.02/22.67 thf(thm_2Earithmetic_2ETWO, axiom, 169.02/22.67 (( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) = 169.02/22.67 ( mono_2Ec_2Enum_2ESUC @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ))). 169.02/22.67 thf(zip_derived_cl2, plain, 169.02/22.67 (((mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) 169.02/22.67 = (mono_2Ec_2Enum_2ESUC @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ETWO])). 169.02/22.67 thf(thm_2Earithmetic_2EBIT2, axiom, 169.02/22.67 (![V0n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2EBIT2 @ V0n ) = 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2B @ 169.02/22.67 V0n @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2B @ 169.02/22.67 V0n @ 169.02/22.67 ( mono_2Ec_2Enum_2ESUC @ 169.02/22.67 ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) ) ) ) ))). 169.02/22.67 thf(zip_derived_cl127, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2EBIT2 @ X0) 169.02/22.67 = (mono_2Ec_2Earithmetic_2E_2B @ X0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2B @ X0 @ 169.02/22.67 (mono_2Ec_2Enum_2ESUC @ 169.02/22.67 (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)))))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EBIT2])). 169.02/22.67 thf(thm_2Earithmetic_2ESUB__LESS__OR, axiom, 169.02/22.67 (![V0m:mono_2Etyop_2Enum_2Enum,V1n:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Eprim__rec_2E_3C @ V1n @ V0m ) => 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_3C_3D @ 169.02/22.67 V1n @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2D @ 169.02/22.67 V0m @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ))). 169.02/22.67 thf(zip_derived_cl125, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( (mono_2Ec_2Earithmetic_2E_3C_3D @ X0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2D @ X1 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)))) 169.02/22.67 | ~ (mono_2Ec_2Eprim__rec_2E_3C @ X0 @ X1))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ESUB__LESS__OR])). 169.02/22.67 thf(thm_2Earithmetic_2EADD1, axiom, 169.02/22.67 (![V0m:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Enum_2ESUC @ V0m ) = 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2B @ 169.02/22.67 V0m @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ))). 169.02/22.67 thf(zip_derived_cl109, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Enum_2ESUC @ X0) 169.02/22.67 = (mono_2Ec_2Earithmetic_2E_2B @ X0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EADD1])). 169.02/22.67 thf(zip_derived_cl0, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( (mono_2Ec_2Eprim__rec_2E_3C @ X0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2B @ X1 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)))) 169.02/22.67 | ~ (mono_2Ec_2Earithmetic_2E_3C_3D @ X0 @ X1))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ELE__LT1])). 169.02/22.67 thf(thm_2Earithmetic_2ESUB__LEFT__SUB, axiom, 169.02/22.67 (![V0m:mono_2Etyop_2Enum_2Enum,V1n:mono_2Etyop_2Enum_2Enum, 169.02/22.67 V2p:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2E_2D @ 169.02/22.67 V0m @ ( mono_2Ec_2Earithmetic_2E_2D @ V1n @ V2p ) ) = 169.02/22.67 ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_3C_3D @ V1n @ V2p ) @ V0m @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2D @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2B @ V0m @ V2p ) @ V1n ) ) ))). 169.02/22.67 thf(zip_derived_cl47, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum, 169.02/22.67 X2 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2D @ X2 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2D @ X0 @ X1)) 169.02/22.67 = (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_3C_3D @ X0 @ X1) @ X2 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2D @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2B @ X2 @ X1) @ X0)))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ESUB__LEFT__SUB])). 169.02/22.67 thf(thm_2Earithmetic_2ELE__MULT__CANCEL__RBARE, axiom, 169.02/22.67 (![V0n:mono_2Etyop_2Enum_2Enum,V1m:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2A @ V1m @ V0n ) @ V1m ) <=> 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ 169.02/22.67 V0n @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) | 169.02/22.67 ( ( V1m ) = ( mono_2Ec_2Enum_2E0 ) ) ) ) & 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2A @ V1m @ V0n ) @ V0n ) <=> 169.02/22.67 ( ( ( V0n ) = ( mono_2Ec_2Enum_2E0 ) ) | 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_3C_3D @ 169.02/22.67 V1m @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ) ))). 169.02/22.67 thf(zip_derived_cl93, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( (mono_2Ec_2Earithmetic_2E_3C_3D @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2A @ X0 @ X1) @ X1) 169.02/22.67 | ((X1) != (mono_2Ec_2Enum_2E0)))), 169.02/22.67 inference('cnf', [status(esa)], 169.02/22.67 [thm_2Earithmetic_2ELE__MULT__CANCEL__RBARE])). 169.02/22.67 thf(zip_derived_cl378, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (mono_2Ec_2Earithmetic_2E_3C_3D @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2A @ X0 @ mono_2Ec_2Enum_2E0) @ 169.02/22.67 mono_2Ec_2Enum_2E0)), 169.02/22.67 inference('simplify', [status(thm)], [zip_derived_cl93])). 169.02/22.67 thf(zip_derived_cl85, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2A @ X0 @ mono_2Ec_2Enum_2E0) 169.02/22.67 = (mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EMULT__CLAUSES])). 169.02/22.67 thf(zip_derived_cl379, plain, 169.02/22.67 ( (mono_2Ec_2Earithmetic_2E_3C_3D @ mono_2Ec_2Enum_2E0 @ 169.02/22.67 mono_2Ec_2Enum_2E0)), 169.02/22.67 inference('demod', [status(thm)], [zip_derived_cl378, zip_derived_cl85])). 169.02/22.67 thf(zip_derived_cl0, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( (mono_2Ec_2Eprim__rec_2E_3C @ X0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2B @ X1 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)))) 169.02/22.67 | ~ (mono_2Ec_2Earithmetic_2E_3C_3D @ X0 @ X1))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ELE__LT1])). 169.02/22.67 thf(zip_derived_cl63, plain, 169.02/22.67 (((mono_2Ec_2Earithmetic_2EZERO) = (mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EALT__ZERO])). 169.02/22.67 thf(zip_derived_cl12, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2ENUMERAL @ X0) = (X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ENUMERAL__DEF])). 169.02/22.67 thf(zip_derived_cl160, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( (mono_2Ec_2Eprim__rec_2E_3C @ X0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2B @ X1 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Enum_2E0))) 169.02/22.67 | ~ (mono_2Ec_2Earithmetic_2E_3C_3D @ X0 @ X1))), 169.02/22.67 inference('demod', [status(thm)], 169.02/22.67 [zip_derived_cl0, zip_derived_cl63, zip_derived_cl12])). 169.02/22.67 thf(zip_derived_cl109, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Enum_2ESUC @ X0) 169.02/22.67 = (mono_2Ec_2Earithmetic_2E_2B @ X0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EADD1])). 169.02/22.67 thf(zip_derived_cl63, plain, 169.02/22.67 (((mono_2Ec_2Earithmetic_2EZERO) = (mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EALT__ZERO])). 169.02/22.67 thf(zip_derived_cl12, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2ENUMERAL @ X0) = (X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ENUMERAL__DEF])). 169.02/22.67 thf(zip_derived_cl236, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Enum_2ESUC @ X0) 169.02/22.67 = (mono_2Ec_2Earithmetic_2E_2B @ X0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Enum_2E0)))), 169.02/22.67 inference('demod', [status(thm)], 169.02/22.67 [zip_derived_cl109, zip_derived_cl63, zip_derived_cl12])). 169.02/22.67 thf(zip_derived_cl237, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( (mono_2Ec_2Eprim__rec_2E_3C @ X0 @ (mono_2Ec_2Enum_2ESUC @ X1)) 169.02/22.67 | ~ (mono_2Ec_2Earithmetic_2E_3C_3D @ X0 @ X1))), 169.02/22.67 inference('demod', [status(thm)], [zip_derived_cl160, zip_derived_cl236])). 169.02/22.67 thf(zip_derived_cl1490, plain, 169.02/22.67 ( (mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ 169.02/22.67 (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('sup-', [status(thm)], [zip_derived_cl379, zip_derived_cl237])). 169.02/22.67 thf(zip_derived_cl161, plain, 169.02/22.67 (((mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Enum_2E0) 169.02/22.67 = (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('demod', [status(thm)], 169.02/22.67 [zip_derived_cl30, zip_derived_cl63, zip_derived_cl12])). 169.02/22.67 thf(zip_derived_cl1508, plain, 169.02/22.67 ( (mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('demod', [status(thm)], [zip_derived_cl1490, zip_derived_cl161])). 169.02/22.67 thf(zip_derived_cl140, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2D @ mono_2Ec_2Enum_2E0 @ X0) 169.02/22.67 = (mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ESUB])). 169.02/22.67 thf(zip_derived_cl85, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2A @ X0 @ mono_2Ec_2Enum_2E0) 169.02/22.67 = (mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EMULT__CLAUSES])). 169.02/22.67 thf(zip_derived_cl81, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2A @ X0 @ (mono_2Ec_2Enum_2ESUC @ X1)) 169.02/22.67 = (mono_2Ec_2Earithmetic_2E_2B @ X0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2A @ X0 @ X1)))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EMULT__CLAUSES])). 169.02/22.67 thf(zip_derived_cl437, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2A @ X0 @ 169.02/22.67 (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)) 169.02/22.67 = (mono_2Ec_2Earithmetic_2E_2B @ X0 @ mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('sup+', [status(thm)], [zip_derived_cl85, zip_derived_cl81])). 169.02/22.67 thf(zip_derived_cl161, plain, 169.02/22.67 (((mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Enum_2E0) 169.02/22.67 = (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('demod', [status(thm)], 169.02/22.67 [zip_derived_cl30, zip_derived_cl63, zip_derived_cl12])). 169.02/22.67 thf(zip_derived_cl197, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2A @ X0 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Enum_2E0)) = (X0))), 169.02/22.67 inference('demod', [status(thm)], 169.02/22.67 [zip_derived_cl73, zip_derived_cl63, zip_derived_cl12])). 169.02/22.67 thf(zip_derived_cl459, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((X0) = (mono_2Ec_2Earithmetic_2E_2B @ X0 @ mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('demod', [status(thm)], 169.02/22.67 [zip_derived_cl437, zip_derived_cl161, zip_derived_cl197])). 169.02/22.67 thf(thm_2Earithmetic_2ESUB__LEFT__ADD, axiom, 169.02/22.67 (![V0m:mono_2Etyop_2Enum_2Enum,V1n:mono_2Etyop_2Enum_2Enum, 169.02/22.67 V2p:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2E_2B @ 169.02/22.67 V0m @ ( mono_2Ec_2Earithmetic_2E_2D @ V1n @ V2p ) ) = 169.02/22.67 ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_3C_3D @ V1n @ V2p ) @ V0m @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2D @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_2B @ V0m @ V1n ) @ V2p ) ) ))). 169.02/22.67 thf(zip_derived_cl137, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum, 169.02/22.67 X2 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2E_2B @ X2 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2D @ X0 @ X1)) 169.02/22.67 = (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_3C_3D @ X0 @ X1) @ X2 @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2D @ 169.02/22.67 (mono_2Ec_2Earithmetic_2E_2B @ X2 @ X0) @ X1)))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ESUB__LEFT__ADD])). 169.02/22.67 thf(zip_derived_cl63, plain, 169.02/22.67 (((mono_2Ec_2Earithmetic_2EZERO) = (mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EALT__ZERO])). 169.02/22.67 thf(zip_derived_cl30, plain, 169.02/22.67 (((mono_2Ec_2Earithmetic_2ENUMERAL @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)) 169.02/22.67 = (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EONE])). 169.02/22.67 thf(thm_2Earithmetic_2EMOD__ONE, axiom, 169.02/22.67 (![V0k:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Earithmetic_2EMOD @ 169.02/22.67 V0k @ ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) ) = 169.02/22.67 ( mono_2Ec_2Enum_2E0 ) ))). 169.02/22.67 thf(zip_derived_cl13, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2EMOD @ X0 @ 169.02/22.67 (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)) = (mono_2Ec_2Enum_2E0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EMOD__ONE])). 169.02/22.67 thf(zip_derived_cl12, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ((mono_2Ec_2Earithmetic_2ENUMERAL @ X0) = (X0))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2ENUMERAL__DEF])). 169.02/22.67 thf(thm_2Earithmetic_2EMOD__LESS__EQ, axiom, 169.02/22.67 (![V0y:mono_2Etyop_2Enum_2Enum,V1x:mono_2Etyop_2Enum_2Enum]: 169.02/22.67 ( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ V0y ) => 169.02/22.67 ( mono_2Ec_2Earithmetic_2E_3C_3D @ 169.02/22.67 ( mono_2Ec_2Earithmetic_2EMOD @ V1x @ V0y ) @ V1x ) ))). 169.02/22.67 thf(zip_derived_cl124, plain, 169.02/22.67 (![X0 : mono_2Etyop_2Enum_2Enum, X1 : mono_2Etyop_2Enum_2Enum]: 169.02/22.67 (~ (mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X0) 169.02/22.67 | (mono_2Ec_2Earithmetic_2E_3C_3D @ 169.02/22.67 (mono_2Ec_2Earithmetic_2EMOD @ X1 @ X0) @ X1))), 169.02/22.67 inference('cnf', [status(esa)], [thm_2Earithmetic_2EMOD__LESS__EQ])). 169.02/22.67 thf(zip_derived_cl7476, plain, ($false), 169.02/22.67 inference('eprover', [status(thm)], 169.02/22.67 [zip_derived_cl129, zip_derived_cl156, zip_derived_cl232, 169.02/22.67 zip_derived_cl118, zip_derived_cl4232, zip_derived_cl11, 169.02/22.67 zip_derived_cl87, zip_derived_cl46, zip_derived_cl143, 169.02/22.67 zip_derived_cl139, zip_derived_cl3640, zip_derived_cl134, 169.02/22.67 zip_derived_cl122, zip_derived_cl117, zip_derived_cl15, 169.02/22.67 zip_derived_cl132, zip_derived_cl84, zip_derived_cl302, 169.02/22.67 zip_derived_cl81, zip_derived_cl83, zip_derived_cl42, 169.02/22.67 zip_derived_cl154, zip_derived_cl120, zip_derived_cl70, 169.02/22.67 zip_derived_cl66, zip_derived_cl337, zip_derived_cl80, 169.02/22.67 zip_derived_cl82, zip_derived_cl22, zip_derived_cl121, 169.02/22.67 zip_derived_cl413, zip_derived_cl4766, zip_derived_cl85, 169.02/22.67 zip_derived_cl27, zip_derived_cl104, zip_derived_cl39, 169.02/22.67 zip_derived_cl1, zip_derived_cl231, zip_derived_cl151, 169.02/22.67 zip_derived_cl55, zip_derived_cl28, zip_derived_cl119, 169.02/22.67 zip_derived_cl155, zip_derived_cl9, zip_derived_cl29, 169.02/22.67 zip_derived_cl14, zip_derived_cl152, zip_derived_cl153, 169.02/22.67 zip_derived_cl123, zip_derived_cl126, zip_derived_cl65, 169.02/22.67 zip_derived_cl103, zip_derived_cl113, zip_derived_cl2, 169.02/22.67 zip_derived_cl127, zip_derived_cl125, zip_derived_cl109, 169.02/22.67 zip_derived_cl0, zip_derived_cl47, zip_derived_cl1508, 169.02/22.67 zip_derived_cl140, zip_derived_cl459, zip_derived_cl137, 169.02/22.67 zip_derived_cl63, zip_derived_cl30, zip_derived_cl13, 169.02/22.67 zip_derived_cl12, zip_derived_cl124])). 169.02/22.67 169.02/22.67 % SZS output end Refutation 169.02/22.67 169.02/22.67 169.02/22.67 % Terminating... 169.87/22.82 % Runner terminated. 169.87/22.84 % Zipperpin 1.5 exiting 169.87/22.84 EOF