%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP019^1 : 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 08:24:42 AM UTC 2026 % Result : Theorem 0.40s 0.62s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ITP019^1 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n020.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 03:59:26 EDT 2026 % 0.19/0.35 % CPUTime : % 0.29/0.53 %----Proving TH0 % 0.40/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.40/0.62 % SZS status Theorem % 0.40/0.62 % SZS output start Proof % 0.40/0.62 ( % 0.40/0.62 (declare-sort tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 0) % 0.40/0.62 (declare-sort tptp.u 0) % 0.40/0.62 (declare-sort tptp.du 0) % 0.40/0.62 (declare-sort tptp.d 0) % 0.40/0.62 (declare-sort tptp.mono_2Etyop_2Enum_2Enum 0) % 0.40/0.62 (declare-const tptp.mono_2Ec_2Ecomplex_2Ecomplex__inv (-> tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) % 0.40/0.62 (declare-const tptp.mono_2Ec_2Ecomplex_2Ecomplex__of__num (-> tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) % 0.40/0.62 (declare-const tptp.mono_2Ec_2Enum_2E0 tptp.mono_2Etyop_2Enum_2Enum) % 0.40/0.62 (declare-const tptp.mono_2Ec_2Ebool_2EF Bool) % 0.40/0.62 (declare-const tptp.mono_2Ec_2Ebool_2ET Bool) % 0.40/0.62 (declare-const tptp.c_2Ebool_2E_3F_2E0 tptp.u) % 0.40/0.62 (declare-const tptp.c_2Emin_2E_3D_2E0 tptp.u) % 0.40/0.62 (declare-const tptp.c_2Ebool_2E_21_2E0 tptp.u) % 0.40/0.62 (declare-const tptp.mono_2Ec_2Ebool_2E_7E (-> Bool Bool)) % 0.40/0.62 (declare-const tptp.mono_2Ec_2Ebool_2E_5C_2F (-> Bool Bool Bool)) % 0.40/0.62 (declare-const tptp.j_mono_2Etyop_2Enum_2Enum (-> tptp.du tptp.mono_2Etyop_2Enum_2Enum)) % 0.40/0.62 (declare-const tptp.mono_2Ec_2Ebool_2E_2F_5C (-> Bool Bool Bool)) % 0.40/0.62 (declare-const tptp.j_mono_2Etyop_2Emin_2Ebool (-> tptp.du Bool)) % 0.40/0.62 (declare-const tptp.combin_s_2E0 tptp.u) % 0.40/0.62 (declare-const tptp.combin_k_2E0 tptp.u) % 0.40/0.62 (declare-const tptp.mono_2Ec_2Emin_2E_3D_3D_3E (-> Bool Bool Bool)) % 0.40/0.62 (declare-const tptp.i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (-> tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 tptp.u)) % 0.40/0.62 (declare-const tptp.combin_i_2E0 tptp.u) % 0.40/0.62 (declare-const tptp.app_2E2 (-> tptp.du tptp.du tptp.u)) % 0.40/0.62 (declare-const tptp.i_mono_2Etyop_2Enum_2Enum (-> tptp.mono_2Etyop_2Enum_2Enum tptp.u)) % 0.40/0.62 (declare-const tptp.s (-> tptp.d tptp.u tptp.du)) % 0.40/0.62 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 (-> (-> tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) tptp.u)) % 0.40/0.62 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> tptp.du tptp.u)) % 0.40/0.62 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> tptp.du Bool Bool)) % 0.40/0.62 (declare-const tptp.j_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (-> tptp.du tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) % 0.40/0.62 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> tptp.du tptp.u)) % 0.40/0.62 (declare-const tptp.i_mono_2Etyop_2Emin_2Ebool (-> Bool tptp.u)) % 0.40/0.62 (declare-const tptp.tyop_2Emin_2Ebool tptp.d) % 0.40/0.62 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> (-> Bool Bool) tptp.u)) % 0.40/0.62 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.du Bool Bool Bool)) % 0.40/0.62 (declare-const tptp.tyop_2Emin_2Efun (-> tptp.d tptp.d tptp.d)) % 0.40/0.62 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (-> (-> Bool Bool Bool) tptp.u)) % 0.40/0.62 (declare-const tptp.tyop_2Enum_2Enum tptp.d) % 0.40/0.62 (declare-const tptp.tyop_2Erealax_2Ereal tptp.d) % 0.40/0.62 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 (-> (-> tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) tptp.u)) % 0.40/0.62 (declare-const tptp.tyop_2Epair_2Eprod (-> tptp.d tptp.d tptp.d)) % 0.40/0.62 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 (-> tptp.du tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) % 0.40/0.62 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> tptp.du tptp.du tptp.u)) % 0.40/0.62 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 (-> tptp.du tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) % 0.40/0.62 (define @t1 () (@var "V1g_2E0" tptp.u)) % 0.40/0.62 (define @t2 () (@var "A_27b" tptp.d)) % 0.40/0.62 (define @t3 () (@var "A_27a" tptp.d)) % 0.40/0.62 (define @t4 () (_ tptp.tyop_2Emin_2Efun @t3)) % 0.40/0.62 (define @t5 () (_ @t4 @t2)) % 0.40/0.62 (define @t6 () (_ tptp.s @t5)) % 0.40/0.62 (define @t7 () (_ @t6 @t1)) % 0.40/0.62 (define @t8 () (@var "V0f_2E0" tptp.u)) % 0.40/0.62 (define @t9 () (_ @t6 @t8)) % 0.40/0.62 (define @t10 () (@var "V2x_2E0" tptp.u)) % 0.40/0.62 (define @t11 () (_ tptp.s @t3)) % 0.40/0.62 (define @t12 () (_ @t11 @t10)) % 0.40/0.62 (define @t13 () (_ tptp.s @t2)) % 0.40/0.62 (define @t14 () (_ @t13 (_ (_ tptp.app_2E2 @t7) @t12))) % 0.40/0.62 (define @t15 () (@var "V0x_2E0" tptp.u)) % 0.40/0.62 (define @t16 () (_ @t11 @t15)) % 0.40/0.62 (define @t17 () (@var "V1y_2E0" tptp.u)) % 0.40/0.62 (define @t18 () (_ tptp.tyop_2Emin_2Efun @t2)) % 0.40/0.62 (define @t19 () (_ @t18 @t3)) % 0.40/0.62 (define @t20 () (@var "A_27c" tptp.d)) % 0.40/0.62 (define @t21 () (_ @t18 @t20)) % 0.40/0.62 (define @t22 () (_ @t4 @t21)) % 0.40/0.62 (define @t23 () (_ (_ tptp.s @t22) @t8)) % 0.40/0.62 (define @t24 () (_ tptp.s @t20)) % 0.40/0.62 (define @t25 () (_ @t4 @t20)) % 0.40/0.62 (define @t26 () (_ (_ tptp.tyop_2Emin_2Efun @t5) @t25)) % 0.40/0.62 (define @t27 () (@var "V1" Bool)) % 0.40/0.62 (define @t28 () (@var "V0" Bool)) % 0.40/0.62 (define @t29 () (@list @t28 @t27)) % 0.40/0.62 (define @t30 () (@list @t28)) % 0.40/0.62 (define @t31 () (@var "V1_2E0" tptp.u)) % 0.40/0.62 (define @t32 () (_ @t11 @t31)) % 0.40/0.62 (define @t33 () (@var "V0_2E0" tptp.u)) % 0.40/0.62 (define @t34 () (_ @t11 @t33)) % 0.40/0.62 (define @t35 () (_ tptp.s tptp.tyop_2Emin_2Ebool)) % 0.40/0.62 (define @t36 () (@var "V1x_2E0" tptp.u)) % 0.40/0.62 (define @t37 () (_ @t4 tptp.tyop_2Emin_2Ebool)) % 0.40/0.62 (define @t38 () (_ tptp.s @t37)) % 0.40/0.62 (define @t39 () (_ @t38 @t8)) % 0.40/0.62 (define @t40 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t35 (_ (_ tptp.app_2E2 @t39) (_ @t11 @t36))))) % 0.40/0.62 (define @t41 () (@list @t36)) % 0.40/0.62 (define @t42 () (@list @t3 @t8)) % 0.40/0.62 (define @t43 () (_ @t35 @t33)) % 0.40/0.62 (define @t44 () (@list @t33)) % 0.40/0.62 (define @t45 () (_ tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool)) % 0.40/0.62 (define @t46 () (_ @t45 tptp.tyop_2Emin_2Ebool)) % 0.40/0.62 (define @t47 () (_ tptp.s @t46)) % 0.40/0.62 (define @t48 () (_ @t47 @t33)) % 0.40/0.62 (define @t49 () (_ tptp.s (_ @t45 @t46))) % 0.40/0.62 (define @t50 () (_ @t49 @t33)) % 0.40/0.62 (define @t51 () (_ (_ tptp.tyop_2Epair_2Eprod tptp.tyop_2Erealax_2Ereal) tptp.tyop_2Erealax_2Ereal)) % 0.40/0.62 (define @t52 () (_ tptp.s (_ (_ tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum) @t51))) % 0.40/0.62 (define @t53 () (_ @t52 @t33)) % 0.40/0.62 (define @t54 () (_ tptp.s (_ (_ tptp.tyop_2Emin_2Efun @t51) @t51))) % 0.40/0.62 (define @t55 () (_ @t54 @t33)) % 0.40/0.62 (define @t56 () (_ tptp.s tptp.tyop_2Enum_2Enum)) % 0.40/0.62 (define @t57 () (_ @t56 @t33)) % 0.40/0.62 (define @t58 () (_ tptp.s @t51)) % 0.40/0.62 (define @t59 () (_ @t58 @t33)) % 0.40/0.62 (define @t60 () (@var "V0" (-> Bool Bool))) % 0.40/0.62 (define @t61 () (_ @t47 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t60))) % 0.40/0.62 (define @t62 () (@var "V0" (-> Bool Bool Bool))) % 0.40/0.62 (define @t63 () (_ @t49 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t62))) % 0.40/0.62 (define @t64 () (@var "V0" (-> tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29))) % 0.40/0.62 (define @t65 () (_ @t52 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @t64))) % 0.40/0.62 (define @t66 () (@var "V0" (-> tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29))) % 0.40/0.62 (define @t67 () (_ @t54 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @t66))) % 0.40/0.62 (define @t68 () (@var "V0" tptp.mono_2Etyop_2Enum_2Enum)) % 0.40/0.62 (define @t69 () (@var "V0" tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) % 0.40/0.62 (define @t70 () (@var "X0_2E0" tptp.u)) % 0.40/0.62 (define @t71 () (_ @t38 @t70)) % 0.40/0.62 (define @t72 () (_ tptp.s (_ (_ tptp.tyop_2Emin_2Efun @t37) tptp.tyop_2Emin_2Ebool))) % 0.40/0.62 (define @t73 () (@list @t3 @t70)) % 0.40/0.62 (define @t74 () (@var "X1_2E0" tptp.u)) % 0.40/0.62 (define @t75 () (_ @t11 @t74)) % 0.40/0.62 (define @t76 () (_ @t11 @t70)) % 0.40/0.62 (define @t77 () (_ @t35 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t27))) % 0.40/0.62 (define @t78 () (_ @t60 @t27)) % 0.40/0.62 (define @t79 () (@list @t60 @t27)) % 0.40/0.62 (define @t80 () (_ @t62 @t27)) % 0.40/0.62 (define @t81 () (@list @t62 @t27)) % 0.40/0.62 (define @t82 () (@var "V1" tptp.mono_2Etyop_2Enum_2Enum)) % 0.40/0.62 (define @t83 () (_ @t64 @t82)) % 0.40/0.62 (define @t84 () (@list @t64 @t82)) % 0.40/0.62 (define @t85 () (@var "V1" tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) % 0.40/0.62 (define @t86 () (_ @t66 @t85)) % 0.40/0.62 (define @t87 () (@list @t66 @t85)) % 0.40/0.62 (define @t88 () (@var "V0t" Bool)) % 0.40/0.62 (define @t89 () (_ tptp.mono_2Ec_2Ecomplex_2Ecomplex__of__num tptp.mono_2Ec_2Enum_2E0)) % 0.40/0.62 (define @t90 () (@var "V0z" tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29)) % 0.40/0.62 (define @t91 () (= @t90 @t89)) % 0.40/0.62 (define @t92 () (_ tptp.mono_2Ec_2Ecomplex_2Ecomplex__inv @t90)) % 0.40/0.62 (define @t93 () (= @t92 @t89)) % 0.40/0.62 (define @t94 () (= @t93 @t91)) % 0.40/0.62 (define @t95 () (@list @t90)) % 0.40/0.62 (define @t96 () (forall @t95 @t94)) % 0.40/0.62 (define @t97 () (not @t93)) % 0.40/0.62 (define @t98 () (not @t91)) % 0.40/0.62 (define @t99 () (=> @t98 @t97)) % 0.40/0.62 (define @t100 () (forall @t95 @t99)) % 0.40/0.62 (define @t101 () (not @t100)) % 0.40/0.62 (define @t102 () (tptp.mono_2Ec_2Ecomplex_2Ecomplex__inv @t90)) % 0.40/0.62 (define @t103 () (tptp.mono_2Ec_2Ecomplex_2Ecomplex__of__num tptp.mono_2Ec_2Enum_2E0)) % 0.40/0.62 (define @t104 () (= @t89 @t92)) % 0.40/0.62 (define @t105 () (= @t91 @t104)) % 0.40/0.62 (define @t106 () (not @t104)) % 0.40/0.62 (define @t107 () (or @t91 @t106)) % 0.40/0.62 (define @t108 () (= @t103 @t102)) % 0.40/0.62 (define @t109 () (= @t90 @t103)) % 0.40/0.62 (define @t110 () (forall @t95 (or @t109 (not @t108)))) % 0.40/0.62 (define @t111 () (@quantifiers_skolemize @t110 0)) % 0.40/0.62 (define @t112 () (= @t103 (tptp.mono_2Ec_2Ecomplex_2Ecomplex__inv @t111))) % 0.40/0.62 (define @t113 () (not @t112)) % 0.40/0.62 (define @t114 () (= @t103 @t111)) % 0.40/0.62 (define @t115 () (or @t114 @t113)) % 0.40/0.62 (define @t116 () (not @t115)) % 0.40/0.62 (define @t117 () (not @t110)) % 0.40/0.62 (define @t118 () (= @t111 @t103)) % 0.40/0.62 (define @t119 () (or @t118 @t113)) % 0.40/0.62 (define @t120 () (not @t119)) % 0.40/0.62 (define @t121 () (@list true)) % 0.40/0.62 (define @t122 () (@list @t115)) % 0.40/0.62 (define @t123 () (= @t112 @t114)) % 0.40/0.62 (define @t124 () (not @t123)) % 0.40/0.62 (define @t125 () (= @t118 @t112)) % 0.40/0.62 (define @t126 () (forall @t95 (= @t109 @t108))) % 0.40/0.62 (assume @p1 (forall (@list @t3 @t2 @t8 @t1) (=> (forall (@list @t10) (= (_ @t13 (_ (_ tptp.app_2E2 @t9) @t12)) @t14)) (= @t9 @t7)))) % 0.40/0.62 (assume @p2 (forall (@list @t3 @t15) (= (_ @t11 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t4 @t3)) tptp.combin_i_2E0)) @t16)) @t16))) % 0.40/0.62 (assume @p3 (forall (@list @t3 @t2 @t15 @t17) (= (_ @t11 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t19) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t4 @t19)) tptp.combin_k_2E0)) @t16))) (_ @t13 @t17))) @t16))) % 0.40/0.62 (assume @p4 (forall (@list @t3 @t2 @t20 @t8 @t1 @t10) (= (_ @t24 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t25) (_ (_ tptp.app_2E2 (_ (_ tptp.s @t26) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ (_ tptp.tyop_2Emin_2Efun @t22) @t26)) tptp.combin_s_2E0)) @t23))) @t7))) @t12)) (_ @t24 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t21) (_ (_ tptp.app_2E2 @t23) @t12))) @t14))))) % 0.40/0.62 (assume @p5 (forall @t29 (= (_ (_ tptp.mono_2Ec_2Ebool_2E_2F_5C @t28) @t27) (and @t28 @t27)))) % 0.40/0.62 (assume @p6 (forall @t29 (= (_ (_ tptp.mono_2Ec_2Ebool_2E_5C_2F @t28) @t27) (or @t28 @t27)))) % 0.40/0.62 (assume @p7 (forall @t30 (= (_ tptp.mono_2Ec_2Ebool_2E_7E @t28) (not @t28)))) % 0.40/0.62 (assume @p8 (forall @t29 (= (_ (_ tptp.mono_2Ec_2Emin_2E_3D_3D_3E @t28) @t27) (=> @t28 @t27)))) % 0.40/0.62 (assume @p9 (forall (@list @t3 @t33 @t31) (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t35 (_ (_ tptp.c_2Emin_2E_3D_2E2 @t34) @t32))) (= @t34 @t32)))) % 0.40/0.62 (assume @p10 (forall @t42 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t35 (_ tptp.c_2Ebool_2E_21_2E1 @t39))) (forall @t41 @t40)))) % 0.40/0.62 (assume @p11 (forall @t42 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t35 (_ tptp.c_2Ebool_2E_3F_2E1 @t39))) (exists @t41 @t40)))) % 0.40/0.62 (assume @p12 (forall @t44 (= (_ @t35 (_ tptp.i_mono_2Etyop_2Emin_2Ebool (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t43))) @t43))) % 0.40/0.62 (assume @p13 (forall @t44 (= (_ @t47 (_ 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 @t48))) @t48))) % 0.40/0.62 (assume @p14 (forall @t44 (= (_ @t49 (_ 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 @t50))) @t50))) % 0.40/0.62 (assume @p15 (forall @t44 (= (_ @t52 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @t53))) @t53))) % 0.40/0.62 (assume @p16 (forall @t44 (= (_ @t54 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @t55))) @t55))) % 0.40/0.62 (assume @p17 (forall @t44 (= (_ @t56 (_ tptp.i_mono_2Etyop_2Enum_2Enum (_ tptp.j_mono_2Etyop_2Enum_2Enum @t57))) @t57))) % 0.40/0.62 (assume @p18 (forall @t44 (= (_ @t58 (_ tptp.i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (_ tptp.j_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @t59))) @t59))) % 0.40/0.62 (assume @p19 (forall @t30 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t35 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t28))) @t28))) % 0.40/0.62 (assume @p20 (forall (@list @t60) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t61) @t60))) % 0.40/0.62 (assume @p21 (forall (@list @t62) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t63) @t62))) % 0.40/0.62 (assume @p22 (forall (@list @t64) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @t65) @t64))) % 0.40/0.62 (assume @p23 (forall (@list @t66) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_2Ctyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29_29 @t67) @t66))) % 0.40/0.62 (assume @p24 (forall (@list @t68) (= (_ tptp.j_mono_2Etyop_2Enum_2Enum (_ @t56 (_ tptp.i_mono_2Etyop_2Enum_2Enum @t68))) @t68))) % 0.40/0.62 (assume @p25 (forall (@list @t69) (= (_ tptp.j_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (_ @t58 (_ tptp.i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @t69))) @t69))) % 0.40/0.62 (assume @p26 (forall @t73 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t35 (_ tptp.c_2Ebool_2E_21_2E1 @t71))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t35 (_ (_ tptp.app_2E2 (_ @t72 tptp.c_2Ebool_2E_21_2E0)) @t71)))))) % 0.40/0.62 (assume @p27 (forall (@list @t3 @t70 @t74) (= (= @t76 @t75) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t35 (_ (_ tptp.app_2E2 (_ @t38 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t4 @t37)) tptp.c_2Emin_2E_3D_2E0)) @t76))) @t75)))))) % 0.40/0.62 (assume @p28 (forall @t73 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t35 (_ tptp.c_2Ebool_2E_3F_2E1 @t71))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t35 (_ (_ tptp.app_2E2 (_ @t72 tptp.c_2Ebool_2E_3F_2E0)) @t71)))))) % 0.40/0.62 (assume @p29 (forall @t79 (= (_ @t35 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t78)) (_ @t35 (_ (_ tptp.app_2E2 @t61) @t77))))) % 0.40/0.62 (assume @p30 (forall @t81 (= (_ @t47 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t80)) (_ @t47 (_ (_ tptp.app_2E2 @t63) @t77))))) % 0.40/0.62 (assume @p31 (forall @t84 (= (_ @t58 (_ tptp.i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @t83)) (_ @t58 (_ (_ tptp.app_2E2 @t65) (_ @t56 (_ tptp.i_mono_2Etyop_2Enum_2Enum @t82))))))) % 0.40/0.62 (assume @p32 (forall @t87 (= (_ @t58 (_ tptp.i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @t86)) (_ @t58 (_ (_ tptp.app_2E2 @t67) (_ @t58 (_ tptp.i_mono_2Etyop_2Epair_2Eprod_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @t85))))))) % 0.40/0.62 (assume @p33 (forall @t79 (= @t78 @t78))) % 0.40/0.62 (assume @p34 (forall @t81 (= @t80 @t80))) % 0.40/0.62 (assume @p35 (forall @t84 (= @t83 @t83))) % 0.40/0.62 (assume @p36 (forall @t87 (= @t86 @t86))) % 0.40/0.62 (assume @p37 tptp.mono_2Ec_2Ebool_2ET) % 0.40/0.62 (assume @p38 (forall (@list @t3 @t88) (= (forall @t41 @t88) @t88))) % 0.40/0.62 (assume @p39 (forall (@list @t88) (and (= (=> tptp.mono_2Ec_2Ebool_2ET @t88) @t88) (= (=> @t88 tptp.mono_2Ec_2Ebool_2ET) tptp.mono_2Ec_2Ebool_2ET) (= (=> tptp.mono_2Ec_2Ebool_2EF @t88) tptp.mono_2Ec_2Ebool_2ET) (= (=> @t88 @t88) tptp.mono_2Ec_2Ebool_2ET) (= (=> @t88 tptp.mono_2Ec_2Ebool_2EF) (not @t88))))) % 0.40/0.62 (assume @p40 @t96) % 0.40/0.62 (assume @p41 @t101) % 0.40/0.62 (assume @p42 true) % 0.40/0.62 (step @p43 :rule refl :args (@t102)) % 0.40/0.62 (step @p44 :rule refl :args (@t92)) % 0.40/0.62 (step @p45 :rule cong :premises (@p44 @p43) :args ((= @t92 @t102))) % 0.40/0.62 (step @p46 :rule symm :premises (@p45)) % 0.40/0.62 (step @p47 :rule eq_resolve :premises (@p44 @p46)) % 0.40/0.62 (step @p48 :rule refl :args (@t103)) % 0.40/0.62 (step @p49 :rule refl :args (@t89)) % 0.40/0.62 (step @p50 :rule cong :premises (@p49 @p48) :args ((= @t89 @t103))) % 0.40/0.62 (step @p51 :rule symm :premises (@p50)) % 0.40/0.62 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.40/0.62 (step @p53 :rule cong :premises (@p52 @p47) :args (@t104)) % 0.40/0.62 (step @p54 :rule refl :args (@t90)) % 0.40/0.62 (step @p55 :rule cong :premises (@p54 @p52) :args (@t91)) % 0.40/0.62 (step @p56 :rule cong :premises (@p55 @p53) :args (@t105)) % 0.40/0.62 (step @p57 :rule cong :premises (@p56) :args ((forall @t95 @t105))) % 0.40/0.62 (step @p58 :rule eq-symm :args (@t104 @t91)) % 0.40/0.62 (step @p59 :rule refl :args (@t91)) % 0.40/0.62 (step @p60 :rule eq-symm :args (@t92 @t89)) % 0.40/0.62 (step @p61 :rule cong :premises (@p60 @p59) :args (@t94)) % 0.40/0.62 (step @p62 :rule trans :premises (@p61 @p58)) % 0.40/0.62 (step @p63 :rule cong :premises (@p62) :args (@t96)) % 0.40/0.62 (step @p64 :rule trans :premises (@p63 @p57)) % 0.40/0.62 (step @p65 :rule eq_resolve :premises (@p40 @p64)) % 0.40/0.62 (step @p66 :rule cong :premises (@p53) :args (@t106)) % 0.40/0.62 (step @p67 :rule nary_cong :premises (@p55 @p66) :args (@t107)) % 0.40/0.62 (step @p68 :rule cong :premises (@p67) :args ((forall @t95 @t107))) % 0.40/0.62 (step @p69 :rule refl :args (@t106)) % 0.40/0.62 (step @p70 :rule bool-double-not-elim :args (@t91)) % 0.40/0.62 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or (not @t98) @t106))) % 0.40/0.62 (step @p72 :rule bool-impl-elim :args (@t98 @t106)) % 0.40/0.62 (step @p73 :rule trans :premises (@p72 @p71)) % 0.40/0.62 (step @p74 :rule cong :premises (@p73) :args ((forall @t95 (=> @t98 @t106)))) % 0.40/0.62 (step @p75 :rule trans :premises (@p74 @p68)) % 0.40/0.62 (step @p76 :rule cong :premises (@p60) :args (@t97)) % 0.40/0.62 (step @p77 :rule refl :args (@t98)) % 0.40/0.62 (step @p78 :rule cong :premises (@p77 @p76) :args (@t99)) % 0.40/0.62 (step @p79 :rule cong :premises (@p78) :args (@t100)) % 0.40/0.62 (step @p80 :rule trans :premises (@p79 @p75)) % 0.40/0.62 (step @p81 :rule cong :premises (@p80) :args (@t101)) % 0.40/0.62 (step @p82 :rule eq_resolve :premises (@p41 @p81)) % 0.40/0.62 (step @p83 :rule refl :args (@t116)) % 0.40/0.62 (step @p84 :rule bool-double-not-elim :args (@t110)) % 0.40/0.62 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or (not @t117) @t116))) % 0.40/0.62 (step @p86 :rule refl :args (@t113)) % 0.40/0.62 (step @p87 :rule eq-symm :args (@t111 @t103)) % 0.40/0.62 (step @p88 :rule nary_cong :premises (@p87 @p86) :args (@t119)) % 0.40/0.62 (step @p89 :rule cong :premises (@p88) :args (@t120)) % 0.40/0.62 (step @p90 :rule refl :args (@t117)) % 0.40/0.62 (step @p91 :rule cong :premises (@p90 @p89) :args ((=> @t117 @t120))) % 0.40/0.62 (assume-push @p125 @t117) % 0.40/0.62 (step @p93 :rule skolemize :premises (@p82)) % 0.40/0.62 (step-pop @p126 :rule scope :premises (@p93)) % 0.40/0.62 (step @p94 :rule process_scope :premises (@p126) :args (@t120)) % 0.40/0.62 (step @p96 :rule eq_resolve :premises (@p94 @p91)) % 0.40/0.62 (step @p97 :rule implies_elim :premises (@p96)) % 0.40/0.62 (step @p98 :rule eq_resolve :premises (@p97 @p85)) % 0.40/0.62 (step @p99 :rule chain_m_resolution :premises (@p98 @p82) :args (@t116 @t121 (@list @t110))) % 0.40/0.62 (step @p100 :rule cnf_or_neg :args (@t115 0)) % 0.40/0.62 (step @p101 :rule chain_m_resolution :premises (@p100 @p99) :args ((not @t114) @t121 @t122)) % 0.40/0.62 (step @p102 :rule bool-double-not-elim :args (@t112)) % 0.40/0.62 (step @p103 :rule refl :args (@t115)) % 0.40/0.62 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or @t115 (not @t113)))) % 0.40/0.62 (step @p105 :rule cnf_or_neg :args (@t115 1)) % 0.40/0.62 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.40/0.62 (step @p107 :rule reordering :premises (@p106) :args ((or @t112 @t115))) % 0.40/0.62 (step @p108 :rule chain_m_resolution :premises (@p107 @p99) :args (@t112 @t121 @t122)) % 0.40/0.62 (step @p109 :rule cnf_equiv_pos1 :args (@t123)) % 0.40/0.62 (step @p110 :rule reordering :premises (@p109) :args ((or @t113 @t114 @t124))) % 0.40/0.62 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p101) :args (@t124 (@list false true) (@list @t112 @t114))) % 0.40/0.62 (step @p112 :rule eq-symm :args (@t114 @t112)) % 0.40/0.62 (step @p113 :rule refl :args (@t112)) % 0.40/0.62 (step @p114 :rule cong :premises (@p87 @p113) :args (@t125)) % 0.40/0.62 (step @p115 :rule trans :premises (@p114 @p112)) % 0.40/0.62 (step @p116 :rule refl :args (@t126)) % 0.40/0.62 (step @p117 :rule cong :premises (@p116 @p115) :args ((=> @t126 @t125))) % 0.40/0.62 (assume-push @p127 @t126) % 0.40/0.62 (step @p119 :rule instantiate :premises (@p65) :args ((@list @t111))) % 0.40/0.62 (step-pop @p128 :rule scope :premises (@p119)) % 0.40/0.62 (step @p120 :rule process_scope :premises (@p128) :args (@t125)) % 0.40/0.62 (step @p122 :rule eq_resolve :premises (@p120 @p117)) % 0.40/0.62 (step @p123 :rule implies_elim :premises (@p122)) % 0.40/0.62 (step @p124 false :rule chain_m_resolution :premises (@p123 @p111 @p65) :args (false (@list true false) (@list @t123 @t126))) % 0.40/0.62 ) % 0.40/0.62 % SZS output end Proof % 0.40/0.62 % cvc5 exiting %------------------------------------------------------------------------------