%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP012_1 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:24:33 AM UTC 2026 % Result : Theorem 0.37s 0.65s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : ITP012_1 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n020.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 03:48:40 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.65 % SZS status Theorem % 0.37/0.65 % SZS output start Proof % 0.37/0.65 ( % 0.37/0.65 (declare-sort tptp.mono_2Etyop_2Einteger_2Eint 0) % 0.37/0.65 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 0) % 0.37/0.65 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 0) % 0.37/0.65 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 0) % 0.37/0.65 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 0) % 0.37/0.65 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 0) % 0.37/0.65 (declare-sort tptp.mono_2Etyop_2Emin_2Ebool 0) % 0.37/0.65 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 0) % 0.37/0.65 (declare-sort tptp.d 0) % 0.37/0.65 (declare-sort tptp.u 0) % 0.37/0.65 (declare-sort tptp.du 0) % 0.37/0.65 (declare-const tptp.mono_2Ec_2Einteger_2Eint__neg_2E1 (-> tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Einteger_2Eint)) % 0.37/0.65 (declare-const tptp.mono_2Ec_2Einteger_2Eint__neg_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29) % 0.37/0.65 (declare-const tptp.mono_2Ec_2Einteger_2Eint__add_2E2 (-> tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Einteger_2Eint)) % 0.37/0.65 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Einteger_2Eint)) % 0.37/0.65 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29)) % 0.37/0.65 (declare-const tptp.mono_2Ec_2Ebool_2E_5C_2F_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29) % 0.37/0.65 (declare-const tptp.c_2Ebool_2E_3F_2E0 tptp.u) % 0.37/0.65 (declare-const tptp.mono_2Ec_2Emin_2E_3D_3D_3E_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29) % 0.37/0.65 (declare-const tptp.c_2Emin_2E_3D_2E0 tptp.u) % 0.37/0.65 (declare-const tptp.mono_2Ec_2Ebool_2E_2F_5C_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29) % 0.37/0.65 (declare-const tptp.i_mono_2Etyop_2Einteger_2Eint (-> tptp.mono_2Etyop_2Einteger_2Eint tptp.u)) % 0.37/0.65 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29)) % 0.37/0.65 (declare-const tptp.j_mono_2Etyop_2Einteger_2Eint (-> tptp.du tptp.mono_2Etyop_2Einteger_2Eint)) % 0.37/0.65 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 tptp.u)) % 0.37/0.65 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.65 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29)) % 0.37/0.65 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 tptp.u)) % 0.37/0.65 (declare-const tptp.mono_2Ec_2Emin_2E_3D_3D_3E_2E2 (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.65 (declare-const tptp.mono_2Ec_2Ebool_2E_5C_2F_2E2 (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.65 (declare-const tptp.mono_2Ec_2Einteger_2Eint__add_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29) % 0.37/0.65 (declare-const tptp.tyop_2Einteger_2Eint tptp.d) % 0.37/0.65 (declare-const tptp.mono_2Ec_2Ebool_2E_2F_5C_2E2 (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.65 (declare-const tptp.combin_s_2E0 tptp.u) % 0.37/0.65 (declare-const tptp.mono_2Ec_2Ebool_2E_7E_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29) % 0.37/0.65 (declare-const tptp.combin_k_2E0 tptp.u) % 0.37/0.65 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.65 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29)) % 0.37/0.65 (declare-const tptp.mono_2Ec_2Einteger_2Eint__sub_2E2 (-> tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Einteger_2Eint)) % 0.37/0.65 (declare-const tptp.combin_i_2E0 tptp.u) % 0.37/0.65 (declare-const tptp.mono_2Ec_2Ebool_2ET_2E0 tptp.mono_2Etyop_2Emin_2Ebool) % 0.37/0.65 (declare-const tptp.mono_2Ec_2Einteger_2Eint__sub_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29) % 0.37/0.65 (declare-const tptp.p (-> tptp.mono_2Etyop_2Emin_2Ebool Bool)) % 0.37/0.65 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29)) % 0.37/0.65 (declare-const tptp.c_2Ebool_2E_21_2E0 tptp.u) % 0.37/0.65 (declare-const tptp.mono_2Ec_2Ebool_2E_7E_2E1 (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.65 (declare-const tptp.app_2E2 (-> tptp.du tptp.du tptp.u)) % 0.37/0.65 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29)) % 0.37/0.65 (declare-const tptp.mono_2Ec_2Einteger_2Eint__divides_2E2 (-> tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Einteger_2Eint tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.65 (declare-const tptp.s (-> tptp.d tptp.u tptp.du)) % 0.37/0.65 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29)) % 0.37/0.65 (declare-const tptp.mono_2Ec_2Ebool_2EF_2E0 tptp.mono_2Etyop_2Emin_2Ebool) % 0.37/0.65 (declare-const tptp.mono_2Ec_2Einteger_2Eint__divides_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29) % 0.37/0.65 (declare-const tptp.tyop_2Emin_2Efun (-> tptp.d tptp.d tptp.d)) % 0.37/0.65 (declare-const tptp.j_mono_2Etyop_2Emin_2Ebool (-> tptp.du tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.65 (declare-const tptp.tyop_2Emin_2Ebool tptp.d) % 0.37/0.65 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> tptp.du tptp.u)) % 0.37/0.65 (declare-const tptp.i_mono_2Etyop_2Emin_2Ebool (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.u)) % 0.37/0.65 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 tptp.u)) % 0.37/0.65 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> tptp.du tptp.du tptp.u)) % 0.37/0.65 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 tptp.u)) % 0.37/0.65 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 tptp.u)) % 0.37/0.65 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> tptp.du tptp.u)) % 0.37/0.65 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 tptp.u)) % 0.37/0.65 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29)) % 0.37/0.65 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29)) % 0.37/0.65 (define @t1 () (@var "V1g_2E0" tptp.u)) % 0.37/0.65 (define @t2 () (@var "A_27b" tptp.d)) % 0.37/0.65 (define @t3 () (@var "A_27a" tptp.d)) % 0.37/0.65 (define @t4 () (tptp.tyop_2Emin_2Efun @t3 @t2)) % 0.37/0.65 (define @t5 () (tptp.s @t4 @t1)) % 0.37/0.65 (define @t6 () (@var "V0f_2E0" tptp.u)) % 0.37/0.65 (define @t7 () (tptp.s @t4 @t6)) % 0.37/0.65 (define @t8 () (@var "V2x_2E0" tptp.u)) % 0.37/0.65 (define @t9 () (tptp.s @t3 @t8)) % 0.37/0.65 (define @t10 () (tptp.s @t2 (tptp.app_2E2 @t5 @t9))) % 0.37/0.65 (define @t11 () (@list @t8)) % 0.37/0.65 (define @t12 () (@var "V1_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.65 (define @t13 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.65 (define @t14 () (= @t13 @t12)) % 0.37/0.65 (define @t15 () (tptp.p @t12)) % 0.37/0.65 (define @t16 () (tptp.p @t13)) % 0.37/0.65 (define @t17 () (= @t16 @t15)) % 0.37/0.65 (define @t18 () (@list @t13 @t12)) % 0.37/0.65 (define @t19 () (forall @t18 (=> @t17 @t14))) % 0.37/0.65 (define @t20 () (tptp.p tptp.mono_2Ec_2Ebool_2ET_2E0)) % 0.37/0.65 (define @t21 () (tptp.p tptp.mono_2Ec_2Ebool_2EF_2E0)) % 0.37/0.65 (define @t22 () (not @t21)) % 0.37/0.65 (define @t23 () (@var "V0t_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.65 (define @t24 () (= @t23 tptp.mono_2Ec_2Ebool_2EF_2E0)) % 0.37/0.65 (define @t25 () (= @t23 tptp.mono_2Ec_2Ebool_2ET_2E0)) % 0.37/0.65 (define @t26 () (@list @t23)) % 0.37/0.65 (define @t27 () (@var "V0x_2E0" tptp.u)) % 0.37/0.65 (define @t28 () (tptp.s @t3 @t27)) % 0.37/0.65 (define @t29 () (@var "V1y_2E0" tptp.u)) % 0.37/0.65 (define @t30 () (tptp.tyop_2Emin_2Efun @t2 @t3)) % 0.37/0.65 (define @t31 () (@var "A_27c" tptp.d)) % 0.37/0.65 (define @t32 () (tptp.tyop_2Emin_2Efun @t2 @t31)) % 0.37/0.65 (define @t33 () (tptp.tyop_2Emin_2Efun @t3 @t32)) % 0.37/0.65 (define @t34 () (tptp.s @t33 @t6)) % 0.37/0.65 (define @t35 () (tptp.tyop_2Emin_2Efun @t3 @t31)) % 0.37/0.65 (define @t36 () (tptp.tyop_2Emin_2Efun @t4 @t35)) % 0.37/0.65 (define @t37 () (not @t16)) % 0.37/0.65 (define @t38 () (@list @t13)) % 0.37/0.65 (define @t39 () (@var "V1_2E0" tptp.u)) % 0.37/0.65 (define @t40 () (tptp.s @t3 @t39)) % 0.37/0.65 (define @t41 () (@var "V0_2E0" tptp.u)) % 0.37/0.65 (define @t42 () (tptp.s @t3 @t41)) % 0.37/0.65 (define @t43 () (@var "V1x_2E0" tptp.u)) % 0.37/0.65 (define @t44 () (tptp.s @t3 @t43)) % 0.37/0.65 (define @t45 () (tptp.tyop_2Emin_2Efun @t3 tptp.tyop_2Emin_2Ebool)) % 0.37/0.65 (define @t46 () (tptp.s @t45 @t6)) % 0.37/0.65 (define @t47 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t46 @t44))))) % 0.37/0.65 (define @t48 () (@list @t43)) % 0.37/0.65 (define @t49 () (@list @t3 @t6)) % 0.37/0.65 (define @t50 () (tptp.s tptp.tyop_2Emin_2Ebool @t41)) % 0.37/0.65 (define @t51 () (@list @t41)) % 0.37/0.65 (define @t52 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool)) % 0.37/0.65 (define @t53 () (tptp.s @t52 @t41)) % 0.37/0.65 (define @t54 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t52)) % 0.37/0.65 (define @t55 () (tptp.s @t54 @t41)) % 0.37/0.65 (define @t56 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Einteger_2Eint tptp.tyop_2Emin_2Ebool)) % 0.37/0.65 (define @t57 () (tptp.s @t56 @t41)) % 0.37/0.65 (define @t58 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Einteger_2Eint @t56)) % 0.37/0.65 (define @t59 () (tptp.s @t58 @t41)) % 0.37/0.65 (define @t60 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Einteger_2Eint tptp.tyop_2Einteger_2Eint)) % 0.37/0.65 (define @t61 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Einteger_2Eint @t60)) % 0.37/0.65 (define @t62 () (tptp.s @t61 @t41)) % 0.37/0.65 (define @t63 () (tptp.s @t60 @t41)) % 0.37/0.65 (define @t64 () (tptp.s tptp.tyop_2Einteger_2Eint @t41)) % 0.37/0.65 (define @t65 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29)) % 0.37/0.65 (define @t66 () (tptp.s @t52 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t65))) % 0.37/0.65 (define @t67 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29)) % 0.37/0.65 (define @t68 () (tptp.s @t54 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t67))) % 0.37/0.65 (define @t69 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29)) % 0.37/0.65 (define @t70 () (tptp.s @t56 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @t69))) % 0.37/0.65 (define @t71 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29)) % 0.37/0.65 (define @t72 () (tptp.s @t58 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @t71))) % 0.37/0.65 (define @t73 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29)) % 0.37/0.65 (define @t74 () (tptp.s @t61 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @t73))) % 0.37/0.65 (define @t75 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29)) % 0.37/0.65 (define @t76 () (tptp.s @t60 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @t75))) % 0.37/0.65 (define @t77 () (@var "V0_2E0" tptp.mono_2Etyop_2Einteger_2Eint)) % 0.37/0.65 (define @t78 () (@var "X0_2E0" tptp.u)) % 0.37/0.65 (define @t79 () (tptp.s @t45 @t78)) % 0.37/0.65 (define @t80 () (tptp.tyop_2Emin_2Efun @t45 tptp.tyop_2Emin_2Ebool)) % 0.37/0.65 (define @t81 () (@list @t3 @t78)) % 0.37/0.65 (define @t82 () (@var "X1_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.65 (define @t83 () (@var "X0_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.65 (define @t84 () (tptp.p @t82)) % 0.37/0.65 (define @t85 () (tptp.p @t83)) % 0.37/0.65 (define @t86 () (@list @t83 @t82)) % 0.37/0.65 (define @t87 () (@var "X1_2E0" tptp.u)) % 0.37/0.65 (define @t88 () (tptp.s @t3 @t87)) % 0.37/0.65 (define @t89 () (tptp.s @t3 @t78)) % 0.37/0.65 (define @t90 () (@var "X1_2E0" tptp.mono_2Etyop_2Einteger_2Eint)) % 0.37/0.65 (define @t91 () (@var "X0_2E0" tptp.mono_2Etyop_2Einteger_2Eint)) % 0.37/0.65 (define @t92 () (@list @t91 @t90)) % 0.37/0.65 (define @t93 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool @t12))) % 0.37/0.65 (define @t94 () (@var "V1_2E0" tptp.mono_2Etyop_2Einteger_2Eint)) % 0.37/0.65 (define @t95 () (tptp.s tptp.tyop_2Einteger_2Eint (tptp.i_mono_2Etyop_2Einteger_2Eint @t94))) % 0.37/0.65 (define @t96 () (@var "V1t2_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.65 (define @t97 () (@var "V0t1_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.65 (define @t98 () (tptp.p @t97)) % 0.37/0.65 (define @t99 () (tptp.p @t96)) % 0.37/0.65 (define @t100 () (tptp.p @t23)) % 0.37/0.65 (define @t101 () (not @t100)) % 0.37/0.65 (define @t102 () (=> @t100 @t21)) % 0.37/0.65 (define @t103 () (= @t102 @t101)) % 0.37/0.65 (define @t104 () (=> @t100 @t100)) % 0.37/0.65 (define @t105 () (=> @t21 @t100)) % 0.37/0.65 (define @t106 () (=> @t100 @t20)) % 0.37/0.65 (define @t107 () (=> @t20 @t100)) % 0.37/0.65 (define @t108 () (and (= @t107 @t100) (= @t106 @t20) (= @t105 @t20) (= @t104 @t20) @t103)) % 0.37/0.65 (define @t109 () (forall @t26 @t108)) % 0.37/0.65 (define @t110 () (not @t20)) % 0.37/0.65 (define @t111 () (forall @t26 (= (not @t101) @t100))) % 0.37/0.65 (define @t112 () (= @t24 @t101)) % 0.37/0.65 (define @t113 () (= tptp.mono_2Ec_2Ebool_2EF_2E0 @t23)) % 0.37/0.65 (define @t114 () (= @t25 @t100)) % 0.37/0.65 (define @t115 () (= tptp.mono_2Ec_2Ebool_2ET_2E0 @t23)) % 0.37/0.65 (define @t116 () (and (= @t115 @t100) @t114 (= @t113 @t101) @t112)) % 0.37/0.65 (define @t117 () (forall @t26 @t116)) % 0.37/0.65 (define @t118 () (@var "V0P_2E0" tptp.u)) % 0.37/0.65 (define @t119 () (tptp.s @t45 @t118)) % 0.37/0.65 (define @t120 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t119 @t9))))) % 0.37/0.65 (define @t121 () (@var "V4x_2E0" tptp.u)) % 0.37/0.65 (define @t122 () (@var "V1Q_2E0" tptp.u)) % 0.37/0.65 (define @t123 () (tptp.s @t45 @t122)) % 0.37/0.65 (define @t124 () (@var "V3x_2E0" tptp.u)) % 0.37/0.65 (define @t125 () (@var "V2C_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.65 (define @t126 () (@var "V1B_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.65 (define @t127 () (tptp.p @t126)) % 0.37/0.65 (define @t128 () (@var "V0A_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.65 (define @t129 () (tptp.p @t128)) % 0.37/0.65 (define @t130 () (or @t129 @t127 (tptp.p @t125))) % 0.37/0.65 (define @t131 () (or @t129 @t127)) % 0.37/0.65 (define @t132 () (@list @t128 @t126)) % 0.37/0.65 (define @t133 () (not @t127)) % 0.37/0.65 (define @t134 () (not @t129)) % 0.37/0.65 (define @t135 () (@var "V1y_2E0" tptp.mono_2Etyop_2Einteger_2Eint)) % 0.37/0.65 (define @t136 () (@var "V0x_2E0" tptp.mono_2Etyop_2Einteger_2Eint)) % 0.37/0.65 (define @t137 () (@var "V2r_2E0" tptp.mono_2Etyop_2Einteger_2Eint)) % 0.37/0.65 (define @t138 () (@var "V0p_2E0" tptp.mono_2Etyop_2Einteger_2Eint)) % 0.37/0.65 (define @t139 () (tptp.mono_2Ec_2Einteger_2Eint__divides_2E2 @t138 @t137)) % 0.37/0.65 (define @t140 () (@var "V1q_2E0" tptp.mono_2Etyop_2Einteger_2Eint)) % 0.37/0.65 (define @t141 () (= (tptp.mono_2Ec_2Einteger_2Eint__divides_2E2 @t138 (tptp.mono_2Ec_2Einteger_2Eint__add_2E2 @t137 @t140)) @t139)) % 0.37/0.65 (define @t142 () (tptp.mono_2Ec_2Einteger_2Eint__divides_2E2 @t138 @t140)) % 0.37/0.65 (define @t143 () (tptp.p @t142)) % 0.37/0.65 (define @t144 () (@list @t138 @t140 @t137)) % 0.37/0.65 (define @t145 () (forall @t144 (=> @t143 @t141))) % 0.37/0.65 (define @t146 () (tptp.mono_2Ec_2Einteger_2Eint__divides_2E2 (tptp.mono_2Ec_2Einteger_2Eint__neg_2E1 @t138) @t140)) % 0.37/0.65 (define @t147 () (tptp.mono_2Ec_2Einteger_2Eint__divides_2E2 @t138 (tptp.mono_2Ec_2Einteger_2Eint__neg_2E1 @t140))) % 0.37/0.65 (define @t148 () (and (= @t147 @t142) (= @t146 @t142))) % 0.37/0.65 (define @t149 () (@list @t138 @t140)) % 0.37/0.65 (define @t150 () (forall @t149 @t148)) % 0.37/0.65 (define @t151 () (=> @t134 @t21)) % 0.37/0.65 (define @t152 () (@list @t128)) % 0.37/0.65 (define @t153 () (@var "V0B_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.65 (define @t154 () (tptp.p @t153)) % 0.37/0.65 (define @t155 () (=> (not @t154) @t21)) % 0.37/0.65 (define @t156 () (@var "V1A_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.65 (define @t157 () (tptp.p @t156)) % 0.37/0.65 (define @t158 () (@list @t153 @t156)) % 0.37/0.65 (define @t159 () (@var "V2p_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.65 (define @t160 () (tptp.p @t159)) % 0.37/0.65 (define @t161 () (not @t160)) % 0.37/0.65 (define @t162 () (@var "V1q_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.65 (define @t163 () (tptp.p @t162)) % 0.37/0.65 (define @t164 () (not @t163)) % 0.37/0.65 (define @t165 () (@var "V0r_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.65 (define @t166 () (tptp.p @t165)) % 0.37/0.65 (define @t167 () (not @t166)) % 0.37/0.65 (define @t168 () (@list @t165 @t162 @t159)) % 0.37/0.65 (define @t169 () (or @t160 @t167)) % 0.37/0.65 (define @t170 () (@var "V1p_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.65 (define @t171 () (tptp.p @t170)) % 0.37/0.65 (define @t172 () (@var "V0q_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 0.37/0.65 (define @t173 () (tptp.p @t172)) % 0.37/0.65 (define @t174 () (not @t173)) % 0.37/0.65 (define @t175 () (tptp.mono_2Ec_2Einteger_2Eint__divides_2E2 @t138 (tptp.mono_2Ec_2Einteger_2Eint__sub_2E2 @t137 @t140))) % 0.37/0.65 (define @t176 () (=> @t143 (= @t175 @t139))) % 0.37/0.65 (define @t177 () (forall @t144 @t176)) % 0.37/0.65 (define @t178 () (not @t177)) % 0.37/0.65 (define @t179 () (or (= @t37 @t15) @t14)) % 0.37/0.65 (define @t180 () (= @t139 @t175)) % 0.37/0.65 (define @t181 () (not @t143)) % 0.37/0.65 (define @t182 () (forall @t144 (or @t181 @t180))) % 0.37/0.65 (define @t183 () (@quantifiers_skolemize @t182 1)) % 0.37/0.65 (define @t184 () (@quantifiers_skolemize @t182 0)) % 0.37/0.65 (define @t185 () (tptp.mono_2Ec_2Einteger_2Eint__divides_2E2 @t184 @t183)) % 0.37/0.65 (define @t186 () (tptp.p @t185)) % 0.37/0.65 (define @t187 () (not @t186)) % 0.37/0.65 (define @t188 () (= @t20 @t187)) % 0.37/0.65 (define @t189 () (or @t188 (= @t185 tptp.mono_2Ec_2Ebool_2ET_2E0))) % 0.37/0.65 (define @t190 () (forall @t18 (or (= @t15 @t37) @t14))) % 0.37/0.65 (define @t191 () (= tptp.mono_2Ec_2Ebool_2ET_2E0 @t185)) % 0.37/0.65 (define @t192 () (or @t188 @t191)) % 0.37/0.65 (define @t193 () (@list false)) % 0.37/0.65 (define @t194 () (@quantifiers_skolemize @t182 2)) % 0.37/0.65 (define @t195 () (tptp.mono_2Ec_2Einteger_2Eint__divides_2E2 @t184 @t194)) % 0.37/0.65 (define @t196 () (= @t195 (tptp.mono_2Ec_2Einteger_2Eint__divides_2E2 @t184 (tptp.mono_2Ec_2Einteger_2Eint__sub_2E2 @t194 @t183)))) % 0.37/0.65 (define @t197 () (or @t187 @t196)) % 0.37/0.65 (define @t198 () (@list true)) % 0.37/0.65 (define @t199 () (@list @t197)) % 0.37/0.65 (define @t200 () (or @t101 @t21)) % 0.37/0.65 (define @t201 () (= @t101 @t200)) % 0.37/0.65 (define @t202 () (forall @t26 @t201)) % 0.37/0.65 (define @t203 () (@list @t23)) % 0.37/0.65 (define @t204 () (forall @t26 @t20)) % 0.37/0.65 (define @t205 () (= @t20 (or @t22 @t100))) % 0.37/0.65 (define @t206 () (forall @t26 @t205)) % 0.37/0.65 (define @t207 () (= @t20 (or @t101 @t20))) % 0.37/0.65 (define @t208 () (forall @t26 @t207)) % 0.37/0.65 (define @t209 () (= @t100 (or @t110 @t100))) % 0.37/0.65 (define @t210 () (forall @t26 @t209)) % 0.37/0.65 (define @t211 () (and @t210 @t208 @t206 @t204 @t202)) % 0.37/0.65 (define @t212 () (and @t209 @t207 @t205 (= @t20 true) (= @t200 @t101))) % 0.37/0.65 (define @t213 () (= @t20 @t104)) % 0.37/0.65 (define @t214 () (= @t20 @t105)) % 0.37/0.65 (define @t215 () (= @t20 @t106)) % 0.37/0.65 (define @t216 () (= @t100 @t107)) % 0.37/0.65 (define @t217 () (and @t216 @t215 @t214 @t213 @t103)) % 0.37/0.65 (define @t218 () (not @t188)) % 0.37/0.65 (define @t219 () (@list true false)) % 0.37/0.65 (define @t220 () (= @t142 @t146)) % 0.37/0.65 (define @t221 () (forall @t149 @t220)) % 0.37/0.65 (define @t222 () (@list @t138 @t140)) % 0.37/0.65 (define @t223 () (= @t142 @t147)) % 0.37/0.65 (define @t224 () (forall @t149 @t223)) % 0.37/0.65 (define @t225 () (and @t224 @t221)) % 0.37/0.65 (define @t226 () (= @t101 @t113)) % 0.37/0.65 (define @t227 () (forall @t26 @t226)) % 0.37/0.65 (define @t228 () (= @t100 @t115)) % 0.37/0.65 (define @t229 () (forall @t26 @t228)) % 0.37/0.65 (define @t230 () (and @t229 @t227)) % 0.37/0.65 (define @t231 () (and @t228 @t226)) % 0.37/0.65 (define @t232 () (and @t228 @t228 @t226 @t226)) % 0.37/0.65 (define @t233 () (tptp.mono_2Ec_2Einteger_2Eint__neg_2E1 @t183)) % 0.37/0.65 (define @t234 () (tptp.mono_2Ec_2Einteger_2Eint__divides_2E2 @t184 @t233)) % 0.37/0.65 (define @t235 () (tptp.mono_2Ec_2Einteger_2Eint__divides_2E2 @t184 (tptp.mono_2Ec_2Einteger_2Eint__add_2E2 @t194 @t233))) % 0.37/0.65 (define @t236 () (tptp.p @t234)) % 0.37/0.65 (define @t237 () (not @t236)) % 0.37/0.65 (define @t238 () (or @t237 (= @t235 @t195))) % 0.37/0.65 (define @t239 () (forall @t144 (or @t181 @t141))) % 0.37/0.65 (define @t240 () (= @t195 @t235)) % 0.37/0.65 (define @t241 () (or @t237 @t240)) % 0.37/0.65 (define @t242 () (= tptp.mono_2Ec_2Ebool_2ET_2E0 @t234)) % 0.37/0.65 (define @t243 () (= @t236 @t242)) % 0.37/0.65 (define @t244 () (not @t242)) % 0.37/0.65 (define @t245 () (= @t185 @t234)) % 0.37/0.65 (define @t246 () (and @t191 @t245)) % 0.37/0.65 (assume @p1 (forall (@list @t3 @t2 @t6 @t1) (=> (forall @t11 (= (tptp.s @t2 (tptp.app_2E2 @t7 @t9)) @t10)) (= @t7 @t5)))) % 0.37/0.65 (assume @p2 @t19) % 0.37/0.65 (assume @p3 @t20) % 0.37/0.65 (assume @p4 @t22) % 0.37/0.65 (assume @p5 (forall @t26 (or @t25 @t24))) % 0.37/0.65 (assume @p6 (forall (@list @t3 @t27) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t3) tptp.combin_i_2E0) @t28)) @t28))) % 0.37/0.65 (assume @p7 (forall (@list @t3 @t2 @t27 @t29) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s @t30 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t30) tptp.combin_k_2E0) @t28)) (tptp.s @t2 @t29))) @t28))) % 0.37/0.65 (assume @p8 (forall (@list @t3 @t2 @t31 @t6 @t1 @t8) (= (tptp.s @t31 (tptp.app_2E2 (tptp.s @t35 (tptp.app_2E2 (tptp.s @t36 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t33 @t36) tptp.combin_s_2E0) @t34)) @t5)) @t9)) (tptp.s @t31 (tptp.app_2E2 (tptp.s @t32 (tptp.app_2E2 @t34 @t9)) @t10))))) % 0.37/0.65 (assume @p9 (forall @t18 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_2F_5C_2E2 @t13 @t12)) (and @t16 @t15)))) % 0.37/0.65 (assume @p10 (forall @t18 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_5C_2F_2E2 @t13 @t12)) (or @t16 @t15)))) % 0.37/0.65 (assume @p11 (forall @t38 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_7E_2E1 @t13)) @t37))) % 0.37/0.65 (assume @p12 (forall @t18 (= (tptp.p (tptp.mono_2Ec_2Emin_2E_3D_3D_3E_2E2 @t13 @t12)) (=> @t16 @t15)))) % 0.37/0.65 (assume @p13 (forall (@list @t3 @t41 @t39) (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_2E2 @t42 @t40)))) (= @t42 @t40)))) % 0.37/0.65 (assume @p14 (forall @t49 (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t46)))) (forall @t48 @t47)))) % 0.37/0.65 (assume @p15 (forall @t49 (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t46)))) (exists @t48 @t47)))) % 0.37/0.65 (assume @p16 (forall @t51 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool (tptp.j_mono_2Etyop_2Emin_2Ebool @t50))) @t50))) % 0.37/0.65 (assume @p17 (forall @t51 (= (tptp.s @t52 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t53))) @t53))) % 0.37/0.65 (assume @p18 (forall @t51 (= (tptp.s @t54 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t55))) @t55))) % 0.37/0.65 (assume @p19 (forall @t51 (= (tptp.s @t56 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @t57))) @t57))) % 0.37/0.65 (assume @p20 (forall @t51 (= (tptp.s @t58 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @t59))) @t59))) % 0.37/0.65 (assume @p21 (forall @t51 (= (tptp.s @t61 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @t62))) @t62))) % 0.37/0.65 (assume @p22 (forall @t51 (= (tptp.s @t60 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @t63))) @t63))) % 0.37/0.65 (assume @p23 (forall @t51 (= (tptp.s tptp.tyop_2Einteger_2Eint (tptp.i_mono_2Etyop_2Einteger_2Eint (tptp.j_mono_2Etyop_2Einteger_2Eint @t64))) @t64))) % 0.37/0.65 (assume @p24 (forall @t38 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool @t13))) @t13))) % 0.37/0.65 (assume @p25 (forall (@list @t65) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t66) @t65))) % 0.37/0.65 (assume @p26 (forall (@list @t67) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t68) @t67))) % 0.37/0.65 (assume @p27 (forall (@list @t69) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @t70) @t69))) % 0.37/0.65 (assume @p28 (forall (@list @t71) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29_29 @t72) @t71))) % 0.37/0.65 (assume @p29 (forall (@list @t73) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29_29 @t74) @t73))) % 0.37/0.65 (assume @p30 (forall (@list @t75) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @t76) @t75))) % 0.37/0.65 (assume @p31 (forall (@list @t77) (= (tptp.j_mono_2Etyop_2Einteger_2Eint (tptp.s tptp.tyop_2Einteger_2Eint (tptp.i_mono_2Etyop_2Einteger_2Eint @t77))) @t77))) % 0.37/0.65 (assume @p32 (forall @t81 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t79))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t80 tptp.c_2Ebool_2E_21_2E0) @t79)))))) % 0.37/0.65 (assume @p33 (forall @t86 (= (and @t85 @t84) (tptp.p (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Ec_2Ebool_2E_2F_5C_2E0 @t83) @t82))))) % 0.37/0.65 (assume @p34 (forall (@list @t3 @t78 @t87) (= (= @t89 @t88) (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t45 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t45) tptp.c_2Emin_2E_3D_2E0) @t89)) @t88))))))) % 0.37/0.65 (assume @p35 (forall @t86 (= (=> @t85 @t84) (tptp.p (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Ec_2Emin_2E_3D_3D_3E_2E0 @t83) @t82))))) % 0.37/0.65 (assume @p36 (forall @t81 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t79))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t80 tptp.c_2Ebool_2E_3F_2E0) @t79)))))) % 0.37/0.65 (assume @p37 (forall @t86 (= (or @t85 @t84) (tptp.p (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Ec_2Ebool_2E_5C_2F_2E0 @t83) @t82))))) % 0.37/0.65 (assume @p38 (forall @t92 (= (tptp.mono_2Ec_2Einteger_2Eint__add_2E2 @t91 @t90) (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 tptp.mono_2Ec_2Einteger_2Eint__add_2E0 @t91) @t90)))) % 0.37/0.65 (assume @p39 (forall @t92 (= (tptp.mono_2Ec_2Einteger_2Eint__divides_2E2 @t91 @t90) (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Ec_2Einteger_2Eint__divides_2E0 @t91) @t90)))) % 0.37/0.65 (assume @p40 (forall (@list @t91) (= (tptp.mono_2Ec_2Einteger_2Eint__neg_2E1 @t91) (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint tptp.mono_2Ec_2Einteger_2Eint__neg_2E0 @t91)))) % 0.37/0.65 (assume @p41 (forall @t92 (= (tptp.mono_2Ec_2Einteger_2Eint__sub_2E2 @t91 @t90) (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 tptp.mono_2Ec_2Einteger_2Eint__sub_2E0 @t91) @t90)))) % 0.37/0.65 (assume @p42 (forall (@list @t83) (= (not @t85) (tptp.p (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2E_7E_2E0 @t83))))) % 0.37/0.65 (assume @p43 (forall (@list @t65 @t12) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool @t65 @t12))) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t66 @t93))))) % 0.37/0.65 (assume @p44 (forall (@list @t67 @t12) (= (tptp.s @t52 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t67 @t12))) (tptp.s @t52 (tptp.app_2E2 @t68 @t93))))) % 0.37/0.65 (assume @p45 (forall (@list @t69 @t94) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Ebool @t69 @t94))) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t70 @t95))))) % 0.37/0.65 (assume @p46 (forall (@list @t71 @t94) (= (tptp.s @t56 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Emin_2Ebool_29 @t71 @t94))) (tptp.s @t56 (tptp.app_2E2 @t72 @t95))))) % 0.37/0.65 (assume @p47 (forall (@list @t73 @t94) (= (tptp.s @t60 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Emin_2Efun_28tyop_2Einteger_2Eint_2Ctyop_2Einteger_2Eint_29 @t73 @t94))) (tptp.s @t60 (tptp.app_2E2 @t74 @t95))))) % 0.37/0.65 (assume @p48 (forall (@list @t75 @t94) (= (tptp.s tptp.tyop_2Einteger_2Eint (tptp.i_mono_2Etyop_2Einteger_2Eint (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Einteger_2Eint_20mono_2Etyop_2Einteger_2Eint @t75 @t94))) (tptp.s tptp.tyop_2Einteger_2Eint (tptp.app_2E2 @t76 @t95))))) % 0.37/0.65 (assume @p49 (forall (@list @t97 @t96) (=> (=> @t98 @t99) (=> (=> @t99 @t98) (= @t97 @t96))))) % 0.37/0.65 (assume @p50 (forall @t26 (=> @t102 @t101))) % 0.37/0.65 (assume @p51 (forall @t26 (=> @t101 @t102))) % 0.37/0.65 (assume @p52 @t109) % 0.37/0.65 (assume @p53 (and @t111 (= @t110 @t21) (= @t22 @t20))) % 0.37/0.65 (assume @p54 @t117) % 0.37/0.65 (assume @p55 (forall (@list @t3 @t118) (= (not (forall @t48 (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t119 @t44)))))) (exists @t11 (not @t120))))) % 0.37/0.65 (assume @p56 (forall (@list @t3 @t118 @t122) (= (forall @t11 (and @t120 (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t123 @t9)))))) (and (forall (@list @t124) (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t119 (tptp.s @t3 @t124)))))) (forall (@list @t121) (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t123 (tptp.s @t3 @t121)))))))))) % 0.37/0.65 (assume @p57 (forall (@list @t128 @t126 @t125) (= @t130 @t130))) % 0.37/0.65 (assume @p58 (forall @t132 (= @t131 (or @t127 @t129)))) % 0.37/0.65 (assume @p59 (forall @t132 (and (= (not (and @t129 @t127)) (or @t134 @t133)) (= (not @t131) (and @t134 @t133))))) % 0.37/0.65 (assume @p60 (forall (@list @t136 @t135) (= (tptp.mono_2Ec_2Einteger_2Eint__sub_2E2 @t136 @t135) (tptp.mono_2Ec_2Einteger_2Eint__add_2E2 @t136 (tptp.mono_2Ec_2Einteger_2Eint__neg_2E1 @t135))))) % 0.37/0.65 (assume @p61 @t145) % 0.37/0.65 (assume @p62 @t150) % 0.37/0.65 (assume @p63 @t111) % 0.37/0.65 (assume @p64 (forall @t152 (=> @t129 @t151))) % 0.37/0.65 (assume @p65 (forall @t158 (= (=> (not (or @t157 @t154)) @t21) (=> (=> @t157 @t21) @t155)))) % 0.37/0.65 (assume @p66 (forall @t158 (= (=> (not (or (not @t157) @t154)) @t21) (=> @t157 @t155)))) % 0.37/0.65 (assume @p67 (forall @t152 (=> @t151 (=> (=> @t129 @t21) @t21)))) % 0.37/0.65 (assume @p68 (forall @t168 (= (= @t160 (= @t162 @t165)) (and (or @t160 @t163 @t166) (or @t160 @t167 @t164) (or @t163 @t167 @t161) (or @t166 @t164 @t161))))) % 0.37/0.65 (assume @p69 (forall @t168 (= (= @t160 (and @t163 @t166)) (and (or @t160 @t164 @t167) (or @t163 @t161) (or @t166 @t161))))) % 0.37/0.65 (assume @p70 (forall @t168 (= (= @t160 (or @t163 @t166)) (and (or @t160 @t164) @t169 (or @t163 @t166 @t161))))) % 0.37/0.65 (assume @p71 (forall @t168 (= (= @t160 (=> @t163 @t166)) (and (or @t160 @t163) @t169 (or @t164 @t166 @t161))))) % 0.37/0.65 (assume @p72 (forall (@list @t172 @t170) (= (= @t171 @t174) (and (or @t171 @t173) (or @t174 (not @t171)))))) % 0.37/0.65 (assume @p73 @t178) % 0.37/0.65 (assume @p74 true) % 0.37/0.65 (step @p75 :rule refl :args (@t14)) % 0.37/0.65 (step @p76 :rule eq-symm :args (@t37 @t15)) % 0.37/0.65 (step @p77 :rule nary_cong :premises (@p76 @p75) :args (@t179)) % 0.37/0.65 (step @p78 :rule cong :premises (@p77) :args ((forall @t18 @t179))) % 0.37/0.65 (step @p79 :rule refl :args (@t14)) % 0.37/0.65 (step @p80 :rule bool-not-eq-elim1 :args (@t16 @t15)) % 0.37/0.65 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or (not @t17) @t14))) % 0.37/0.65 (step @p82 :rule bool-impl-elim :args (@t17 @t14)) % 0.37/0.65 (step @p83 :rule trans :premises (@p82 @p81)) % 0.37/0.65 (step @p84 :rule cong :premises (@p83) :args (@t19)) % 0.37/0.65 (step @p85 :rule trans :premises (@p84 @p78)) % 0.37/0.65 (step @p86 :rule eq_resolve :premises (@p2 @p85)) % 0.37/0.65 (step @p87 :rule eq-symm :args (@t185 tptp.mono_2Ec_2Ebool_2ET_2E0)) % 0.37/0.65 (step @p88 :rule refl :args (@t188)) % 0.37/0.65 (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t189)) % 0.37/0.65 (step @p90 :rule refl :args (@t190)) % 0.37/0.65 (step @p91 :rule cong :premises (@p90 @p89) :args ((=> @t190 @t189))) % 0.37/0.65 (assume-push @p246 @t190) % 0.37/0.65 (step @p93 :rule instantiate :premises (@p86) :args ((@list @t185 tptp.mono_2Ec_2Ebool_2ET_2E0))) % 0.37/0.65 (step-pop @p247 :rule scope :premises (@p93)) % 0.37/0.65 (step @p94 :rule process_scope :premises (@p247) :args (@t189)) % 0.37/0.65 (step @p96 :rule eq_resolve :premises (@p94 @p91)) % 0.37/0.65 (step @p97 :rule implies_elim :premises (@p96)) % 0.37/0.65 (step @p98 :rule chain_m_resolution :premises (@p97 @p86) :args (@t192 @t193 (@list @t190))) % 0.37/0.65 (step @p99 :rule bool-impl-elim :args (@t143 @t180)) % 0.37/0.65 (step @p100 :rule cong :premises (@p99) :args ((forall @t144 (=> @t143 @t180)))) % 0.37/0.65 (step @p101 :rule eq-symm :args (@t175 @t139)) % 0.37/0.65 (step @p102 :rule refl :args (@t143)) % 0.37/0.65 (step @p103 :rule cong :premises (@p102 @p101) :args (@t176)) % 0.37/0.65 (step @p104 :rule cong :premises (@p103) :args (@t177)) % 0.37/0.65 (step @p105 :rule trans :premises (@p104 @p100)) % 0.37/0.65 (step @p106 :rule cong :premises (@p105) :args (@t178)) % 0.37/0.65 (step @p107 :rule eq_resolve :premises (@p73 @p106)) % 0.37/0.65 (step @p108 :rule skolemize :premises (@p107)) % 0.37/0.65 (step @p109 :rule bool-double-not-elim :args (@t186)) % 0.37/0.65 (step @p110 :rule refl :args (@t197)) % 0.37/0.65 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or @t197 (not @t187)))) % 0.37/0.65 (step @p112 :rule cnf_or_neg :args (@t197 0)) % 0.37/0.65 (step @p113 :rule eq_resolve :premises (@p112 @p111)) % 0.37/0.65 (step @p114 :rule reordering :premises (@p113) :args ((or @t186 @t197))) % 0.37/0.65 (step @p115 :rule chain_m_resolution :premises (@p114 @p108) :args (@t186 @t198 @t199)) % 0.37/0.65 (step @p116 :rule alpha_equiv :args (@t202 @t203 (@list (@var "BOUND_VARIABLE_8301" tptp.mono_2Etyop_2Emin_2Ebool)))) % 0.37/0.65 (step @p117 :rule quant-unused-vars :args ((= @t204 @t20))) % 0.37/0.65 (step @p118 :rule alpha_equiv :args (@t206 @t203 (@list (@var "BOUND_VARIABLE_8293" tptp.mono_2Etyop_2Emin_2Ebool)))) % 0.37/0.65 (step @p119 :rule alpha_equiv :args (@t208 @t203 (@list (@var "BOUND_VARIABLE_8285" tptp.mono_2Etyop_2Emin_2Ebool)))) % 0.37/0.65 (step @p120 :rule alpha_equiv :args (@t210 @t203 (@list (@var "BOUND_VARIABLE_8278" tptp.mono_2Etyop_2Emin_2Ebool)))) % 0.37/0.65 (step @p121 :rule nary_cong :premises (@p120 @p119 @p118 @p117 @p116) :args (@t211)) % 0.37/0.65 (step @p122 :rule quant-miniscope-and :args ((= (forall @t26 (and @t209 @t207 @t205 @t20 @t201)) @t211))) % 0.37/0.65 (step @p123 :rule trans :premises (@p122 @p121)) % 0.37/0.65 (step @p124 :rule eq-symm :args (@t200 @t101)) % 0.37/0.65 (step @p125 :rule bool-eq-true :args (@t20)) % 0.37/0.65 (step @p126 :rule refl :args (@t205)) % 0.37/0.65 (step @p127 :rule refl :args (@t207)) % 0.37/0.65 (step @p128 :rule refl :args (@t209)) % 0.37/0.65 (step @p129 :rule nary_cong :premises (@p128 @p127 @p126 @p125 @p124) :args (@t212)) % 0.37/0.65 (step @p130 :rule cong :premises (@p129) :args ((forall @t26 @t212))) % 0.37/0.65 (step @p131 :rule trans :premises (@p130 @p123)) % 0.37/0.65 (step @p132 :rule refl :args (@t101)) % 0.37/0.65 (step @p133 :rule bool-impl-elim :args (@t100 @t21)) % 0.37/0.65 (step @p134 :rule cong :premises (@p133 @p132) :args (@t103)) % 0.37/0.65 (step @p135 :rule bool-or-taut2 :args (false @t100 false false)) % 0.37/0.65 (step @p136 :rule bool-impl-elim :args (@t100 @t100)) % 0.37/0.65 (step @p137 :rule trans :premises (@p136 @p135)) % 0.37/0.65 (step @p138 :rule refl :args (@t20)) % 0.37/0.65 (step @p139 :rule cong :premises (@p138 @p137) :args (@t213)) % 0.37/0.65 (step @p140 :rule bool-impl-elim :args (@t21 @t100)) % 0.37/0.65 (step @p141 :rule cong :premises (@p138 @p140) :args (@t214)) % 0.37/0.65 (step @p142 :rule bool-impl-elim :args (@t100 @t20)) % 0.37/0.65 (step @p143 :rule cong :premises (@p138 @p142) :args (@t215)) % 0.37/0.65 (step @p144 :rule bool-impl-elim :args (@t20 @t100)) % 0.37/0.65 (step @p145 :rule refl :args (@t100)) % 0.37/0.65 (step @p146 :rule cong :premises (@p145 @p144) :args (@t216)) % 0.37/0.65 (step @p147 :rule nary_cong :premises (@p146 @p143 @p141 @p139 @p134) :args (@t217)) % 0.37/0.65 (step @p148 :rule cong :premises (@p147) :args ((forall @t26 @t217))) % 0.37/0.65 (step @p149 :rule trans :premises (@p148 @p131)) % 0.37/0.65 (step @p150 :rule refl :args (@t103)) % 0.37/0.65 (step @p151 :rule eq-symm :args (@t104 @t20)) % 0.37/0.65 (step @p152 :rule eq-symm :args (@t105 @t20)) % 0.37/0.65 (step @p153 :rule eq-symm :args (@t106 @t20)) % 0.37/0.65 (step @p154 :rule eq-symm :args (@t107 @t100)) % 0.37/0.65 (step @p155 :rule nary_cong :premises (@p154 @p153 @p152 @p151 @p150) :args (@t108)) % 0.37/0.65 (step @p156 :rule cong :premises (@p155) :args (@t109)) % 0.37/0.65 (step @p157 :rule trans :premises (@p156 @p149)) % 0.37/0.65 (step @p158 :rule eq_resolve :premises (@p52 @p157)) % 0.37/0.65 (step @p159 :rule and_elim :premises (@p158) :args (3)) % 0.37/0.65 (step @p160 :rule cnf_equiv_pos1 :args (@t188)) % 0.37/0.65 (step @p161 :rule reordering :premises (@p160) :args ((or @t110 @t187 @t218))) % 0.37/0.65 (step @p162 :rule chain_m_resolution :premises (@p161 @p159 @p115) :args (@t218 (@list false false) (@list @t20 @t186))) % 0.37/0.65 (step @p163 :rule cnf_or_pos :args (@t192)) % 0.37/0.65 (step @p164 :rule reordering :premises (@p163) :args ((or @t188 @t191 (not @t192)))) % 0.37/0.65 (step @p165 :rule chain_m_resolution :premises (@p164 @p162 @p98) :args (@t191 @t219 (@list @t188 @t192))) % 0.37/0.65 (step @p166 :rule alpha_equiv :args (@t221 @t222 (@list (@var "BOUND_VARIABLE_8397" tptp.mono_2Etyop_2Einteger_2Eint) (@var "BOUND_VARIABLE_8399" tptp.mono_2Etyop_2Einteger_2Eint)))) % 0.37/0.65 (step @p167 :rule alpha_equiv :args (@t224 @t222 (@list (@var "BOUND_VARIABLE_8387" tptp.mono_2Etyop_2Einteger_2Eint) (@var "BOUND_VARIABLE_8389" tptp.mono_2Etyop_2Einteger_2Eint)))) % 0.37/0.65 (step @p168 :rule nary_cong :premises (@p167 @p166) :args (@t225)) % 0.37/0.65 (step @p169 :rule quant-miniscope-and :args ((= (forall @t149 (and @t223 @t220)) @t225))) % 0.37/0.65 (step @p170 :rule trans :premises (@p169 @p168)) % 0.37/0.65 (step @p171 :rule eq-symm :args (@t146 @t142)) % 0.37/0.66 (step @p172 :rule eq-symm :args (@t147 @t142)) % 0.37/0.66 (step @p173 :rule nary_cong :premises (@p172 @p171) :args (@t148)) % 0.37/0.66 (step @p174 :rule cong :premises (@p173) :args (@t150)) % 0.37/0.66 (step @p175 :rule trans :premises (@p174 @p170)) % 0.37/0.66 (step @p176 :rule eq_resolve :premises (@p62 @p175)) % 0.37/0.66 (step @p177 :rule and_elim :premises (@p176) :args (0)) % 0.37/0.66 (step @p178 :rule instantiate :premises (@p177) :args ((@list @t184 @t183))) % 0.37/0.66 (step @p179 :rule alpha_equiv :args (@t227 @t203 (@list (@var "BOUND_VARIABLE_8329" tptp.mono_2Etyop_2Emin_2Ebool)))) % 0.37/0.66 (step @p180 :rule alpha_equiv :args (@t229 @t203 (@list (@var "BOUND_VARIABLE_8322" tptp.mono_2Etyop_2Emin_2Ebool)))) % 0.37/0.66 (step @p181 :rule nary_cong :premises (@p180 @p179) :args (@t230)) % 0.37/0.66 (step @p182 :rule quant-miniscope-and :args ((= (forall @t26 @t231) @t230))) % 0.37/0.66 (step @p183 :rule trans :premises (@p182 @p181)) % 0.37/0.66 (step @p184 :rule aci_norm :args ((= @t232 @t231))) % 0.37/0.66 (step @p185 :rule cong :premises (@p184) :args ((forall @t26 @t232))) % 0.37/0.66 (step @p186 :rule trans :premises (@p185 @p183)) % 0.37/0.66 (step @p187 :rule eq-symm :args (@t113 @t101)) % 0.37/0.66 (step @p188 :rule refl :args (@t101)) % 0.37/0.66 (step @p189 :rule eq-symm :args (@t23 tptp.mono_2Ec_2Ebool_2EF_2E0)) % 0.37/0.66 (step @p190 :rule cong :premises (@p189 @p188) :args (@t112)) % 0.37/0.66 (step @p191 :rule trans :premises (@p190 @p187)) % 0.37/0.66 (step @p192 :rule eq-symm :args (@t115 @t100)) % 0.37/0.66 (step @p193 :rule refl :args (@t100)) % 0.37/0.66 (step @p194 :rule eq-symm :args (@t23 tptp.mono_2Ec_2Ebool_2ET_2E0)) % 0.37/0.66 (step @p195 :rule cong :premises (@p194 @p193) :args (@t114)) % 0.37/0.66 (step @p196 :rule trans :premises (@p195 @p192)) % 0.37/0.66 (step @p197 :rule nary_cong :premises (@p192 @p196 @p187 @p191) :args (@t116)) % 0.37/0.66 (step @p198 :rule cong :premises (@p197) :args (@t117)) % 0.37/0.66 (step @p199 :rule trans :premises (@p198 @p186)) % 0.37/0.66 (step @p200 :rule eq_resolve :premises (@p54 @p199)) % 0.37/0.66 (step @p201 :rule and_elim :premises (@p200) :args (0)) % 0.37/0.66 (step @p202 :rule instantiate :premises (@p201) :args ((@list @t234))) % 0.37/0.66 (step @p203 :rule bool-impl-elim :args (@t143 @t141)) % 0.37/0.66 (step @p204 :rule cong :premises (@p203) :args (@t145)) % 0.37/0.66 (step @p205 :rule eq_resolve :premises (@p61 @p204)) % 0.37/0.66 (step @p206 :rule eq-symm :args (@t235 @t195)) % 0.37/0.66 (step @p207 :rule refl :args (@t237)) % 0.37/0.66 (step @p208 :rule nary_cong :premises (@p207 @p206) :args (@t238)) % 0.37/0.66 (step @p209 :rule refl :args (@t239)) % 0.37/0.66 (step @p210 :rule cong :premises (@p209 @p208) :args ((=> @t239 @t238))) % 0.37/0.66 (assume-push @p248 @t239) % 0.37/0.66 (step @p212 :rule instantiate :premises (@p205) :args ((@list @t184 @t233 @t194))) % 0.37/0.66 (step-pop @p249 :rule scope :premises (@p212)) % 0.37/0.66 (step @p213 :rule process_scope :premises (@p249) :args (@t238)) % 0.37/0.66 (step @p215 :rule eq_resolve :premises (@p213 @p210)) % 0.37/0.66 (step @p216 :rule implies_elim :premises (@p215)) % 0.37/0.66 (step @p217 :rule chain_m_resolution :premises (@p216 @p205) :args (@t241 @t193 (@list @t239))) % 0.37/0.66 (step @p218 :rule cnf_or_neg :args (@t197 1)) % 0.37/0.66 (step @p219 :rule chain_m_resolution :premises (@p218 @p108) :args ((not @t196) @t198 @t199)) % 0.37/0.66 (step @p220 :rule false_intro :premises (@p219)) % 0.37/0.66 (step @p221 :rule instantiate :premises (@p60) :args ((@list @t194 @t183))) % 0.37/0.66 (step @p222 :rule symm :premises (@p221)) % 0.37/0.66 (step @p223 :rule refl :args (@t184)) % 0.37/0.66 (step @p224 :rule cong :premises (@p223 @p222) :args (@t235)) % 0.37/0.66 (step @p225 :rule refl :args (@t195)) % 0.37/0.66 (step @p226 :rule cong :premises (@p225 @p224) :args (@t240)) % 0.37/0.66 (step @p227 :rule trans :premises (@p226 @p220)) % 0.37/0.66 (step @p228 :rule false_elim :premises (@p227)) % 0.37/0.66 (step @p229 :rule cnf_or_pos :args (@t241)) % 0.37/0.66 (step @p230 :rule reordering :premises (@p229) :args ((or @t237 @t240 (not @t241)))) % 0.37/0.66 (step @p231 :rule chain_m_resolution :premises (@p230 @p228 @p217) :args (@t237 @t219 (@list @t240 @t241))) % 0.37/0.66 (step @p232 :rule cnf_equiv_pos2 :args (@t243)) % 0.37/0.66 (step @p233 :rule reordering :premises (@p232) :args ((or @t236 @t244 (not @t243)))) % 0.37/0.66 (step @p234 :rule chain_m_resolution :premises (@p233 @p231 @p202) :args (@t244 @t219 (@list @t236 @t243))) % 0.37/0.66 (assume-push @p250 @t191) % 0.37/0.66 (assume-push @p251 @t245) % 0.37/0.66 (step @p237 :rule trans :premises (@p165 @p178)) % 0.37/0.66 (step-pop @p252 :rule scope :premises (@p237)) % 0.37/0.66 (step-pop @p253 :rule scope :premises (@p252)) % 0.37/0.66 (step @p238 :rule process_scope :premises (@p253) :args (@t242)) % 0.37/0.66 (step @p241 :rule implies_elim :premises (@p238)) % 0.37/0.66 (step @p242 :rule cnf_and_neg :args (@t246)) % 0.37/0.66 (step @p243 :rule resolution :premises (@p242 @p241) :args (true @t246)) % 0.37/0.66 (step @p244 :rule reordering :premises (@p243) :args ((or (not @t191) @t242 (not @t245)))) % 0.37/0.66 (step @p245 false :rule chain_m_resolution :premises (@p244 @p234 @p178 @p165) :args (false (@list true false false) (@list @t242 @t245 @t191))) % 0.37/0.66 ) % 0.37/0.66 % SZS output end Proof % 0.37/0.66 % cvc5 exiting %------------------------------------------------------------------------------