%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP021^1 : 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 : n015.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 08:24:44 AM UTC 2026 % Result : Theorem 151.91s 152.21s % Output : Proof 151.91s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP021^1 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.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 04:02:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.53 %----Proving TH0 % 151.91/152.21 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 151.91/152.21 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 151.91/152.21 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 151.91/152.21 --- Run --ho-elim --full-saturate-quant at 18s... % 151.91/152.21 % SZS status Theorem % 151.91/152.21 % SZS output start Proof % 151.91/152.21 ( % 151.91/152.21 (declare-sort tptp.du 0) % 151.91/152.21 (declare-sort tptp.u 0) % 151.91/152.21 (declare-sort tptp.mono_2Etyop_2Eextreal_2Eextreal 0) % 151.91/152.21 (declare-sort tptp.d 0) % 151.91/152.21 (declare-const tptp.mono_2Ec_2Eextreal_2Eextreal__max (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 151.91/152.21 (declare-const tptp.mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal (-> Bool tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 151.91/152.21 (declare-const tptp.c_2Ebool_2ECOND_2E3 (-> tptp.du tptp.du tptp.du tptp.u)) % 151.91/152.21 (declare-const tptp.c_2Ebool_2ECOND_2E0 tptp.u) % 151.91/152.21 (declare-const tptp.c_2Ebool_2E_3F_2E0 tptp.u) % 151.91/152.21 (declare-const tptp.c_2Emin_2E_3D_2E0 tptp.u) % 151.91/152.21 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 (-> (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal) tptp.u)) % 151.91/152.21 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 (-> tptp.du tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 151.91/152.21 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.du tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) % 151.91/152.21 (declare-const tptp.j_mono_2Etyop_2Emin_2Ebool (-> tptp.du Bool)) % 151.91/152.21 (declare-const tptp.mono_2Ec_2Ebool_2ET Bool) % 151.91/152.21 (declare-const tptp.tyop_2Emin_2Ebool tptp.d) % 151.91/152.21 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> tptp.du Bool Bool)) % 151.91/152.21 (declare-const tptp.mono_2Ec_2Ebool_2E_2F_5C (-> Bool Bool Bool)) % 151.91/152.21 (declare-const tptp.combin_s_2E0 tptp.u) % 151.91/152.21 (declare-const tptp.mono_2Ec_2Ebool_2E_5C_2F (-> Bool Bool Bool)) % 151.91/152.21 (declare-const tptp.mono_2Ec_2Eextreal_2Eextreal__le (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) % 151.91/152.21 (declare-const tptp.tyop_2Emin_2Efun (-> tptp.d tptp.d tptp.d)) % 151.91/152.21 (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)) % 151.91/152.21 (declare-const tptp.i_mono_2Etyop_2Eextreal_2Eextreal (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.u)) % 151.91/152.21 (declare-const tptp.combin_k_2E0 tptp.u) % 151.91/152.21 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 (-> tptp.du tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 151.91/152.21 (declare-const tptp.combin_i_2E0 tptp.u) % 151.91/152.21 (declare-const tptp.i_mono_2Etyop_2Emin_2Ebool (-> Bool tptp.u)) % 151.91/152.21 (declare-const tptp.app_2E2 (-> tptp.du tptp.du tptp.u)) % 151.91/152.21 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (-> tptp.du tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) % 151.91/152.21 (declare-const tptp.mono_2Ec_2Emin_2E_3D_3D_3E (-> Bool Bool Bool)) % 151.91/152.21 (declare-const tptp.j_mono_2Etyop_2Eextreal_2Eextreal (-> tptp.du tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 151.91/152.21 (declare-const tptp.mono_2Ec_2Ebool_2E_7E (-> Bool Bool)) % 151.91/152.21 (declare-const tptp.s (-> tptp.d tptp.u tptp.du)) % 151.91/152.21 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 (-> tptp.du Bool tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 151.91/152.21 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 (-> (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal Bool) tptp.u)) % 151.91/152.21 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> tptp.du tptp.u)) % 151.91/152.21 (declare-const tptp.mono_2Ec_2Ebool_2EF Bool) % 151.91/152.21 (declare-const tptp.tyop_2Eextreal_2Eextreal tptp.d) % 151.91/152.21 (declare-const tptp.c_2Ebool_2E_21_2E0 tptp.u) % 151.91/152.21 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> (-> Bool Bool) tptp.u)) % 151.91/152.21 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> tptp.du tptp.u)) % 151.91/152.21 (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)) % 151.91/152.21 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 (-> (-> Bool tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal) tptp.u)) % 151.91/152.21 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> tptp.du tptp.du tptp.u)) % 151.91/152.21 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (-> (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool) tptp.u)) % 151.91/152.21 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 (-> (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal) tptp.u)) % 151.91/152.21 (define @t1 () (@var "V1g_2E0" tptp.u)) % 151.91/152.21 (define @t2 () (@var "A_27b" tptp.d)) % 151.91/152.21 (define @t3 () (@var "A_27a" tptp.d)) % 151.91/152.21 (define @t4 () (_ tptp.tyop_2Emin_2Efun @t3)) % 151.91/152.21 (define @t5 () (_ @t4 @t2)) % 151.91/152.21 (define @t6 () (_ tptp.s @t5)) % 151.91/152.21 (define @t7 () (_ @t6 @t1)) % 151.91/152.21 (define @t8 () (@var "V0f_2E0" tptp.u)) % 151.91/152.21 (define @t9 () (_ @t6 @t8)) % 151.91/152.21 (define @t10 () (@var "V2x_2E0" tptp.u)) % 151.91/152.21 (define @t11 () (_ tptp.s @t3)) % 151.91/152.21 (define @t12 () (_ @t11 @t10)) % 151.91/152.21 (define @t13 () (_ tptp.s @t2)) % 151.91/152.21 (define @t14 () (_ @t13 (_ (_ tptp.app_2E2 @t7) @t12))) % 151.91/152.21 (define @t15 () (@var "V0x_2E0" tptp.u)) % 151.91/152.21 (define @t16 () (_ @t11 @t15)) % 151.91/152.21 (define @t17 () (_ @t4 @t3)) % 151.91/152.21 (define @t18 () (_ tptp.s @t17)) % 151.91/152.21 (define @t19 () (@var "V1y_2E0" tptp.u)) % 151.91/152.21 (define @t20 () (_ tptp.tyop_2Emin_2Efun @t2)) % 151.91/152.21 (define @t21 () (_ @t20 @t3)) % 151.91/152.21 (define @t22 () (@var "A_27c" tptp.d)) % 151.91/152.21 (define @t23 () (_ @t20 @t22)) % 151.91/152.21 (define @t24 () (_ @t4 @t23)) % 151.91/152.21 (define @t25 () (_ (_ tptp.s @t24) @t8)) % 151.91/152.21 (define @t26 () (_ tptp.s @t22)) % 151.91/152.21 (define @t27 () (_ @t4 @t22)) % 151.91/152.21 (define @t28 () (_ (_ tptp.tyop_2Emin_2Efun @t5) @t27)) % 151.91/152.21 (define @t29 () (@var "V1" Bool)) % 151.91/152.21 (define @t30 () (@var "V0" Bool)) % 151.91/152.21 (define @t31 () (@list @t30 @t29)) % 151.91/152.21 (define @t32 () (@list @t30)) % 151.91/152.21 (define @t33 () (@var "V1_2E0" tptp.u)) % 151.91/152.21 (define @t34 () (_ @t11 @t33)) % 151.91/152.21 (define @t35 () (@var "V0_2E0" tptp.u)) % 151.91/152.21 (define @t36 () (_ @t11 @t35)) % 151.91/152.21 (define @t37 () (_ tptp.s tptp.tyop_2Emin_2Ebool)) % 151.91/152.21 (define @t38 () (@var "V1x_2E0" tptp.u)) % 151.91/152.21 (define @t39 () (_ @t4 tptp.tyop_2Emin_2Ebool)) % 151.91/152.21 (define @t40 () (_ tptp.s @t39)) % 151.91/152.21 (define @t41 () (_ @t40 @t8)) % 151.91/152.21 (define @t42 () (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ (_ tptp.app_2E2 @t41) (_ @t11 @t38))))) % 151.91/152.21 (define @t43 () (@list @t38)) % 151.91/152.21 (define @t44 () (@list @t3 @t8)) % 151.91/152.21 (define @t45 () (_ @t37 @t35)) % 151.91/152.21 (define @t46 () (@list @t35)) % 151.91/152.21 (define @t47 () (_ tptp.s tptp.tyop_2Eextreal_2Eextreal)) % 151.91/152.21 (define @t48 () (_ @t47 @t35)) % 151.91/152.21 (define @t49 () (_ tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool)) % 151.91/152.21 (define @t50 () (_ @t49 tptp.tyop_2Emin_2Ebool)) % 151.91/152.21 (define @t51 () (_ tptp.s @t50)) % 151.91/152.21 (define @t52 () (_ @t51 @t35)) % 151.91/152.21 (define @t53 () (_ tptp.s (_ @t49 @t50))) % 151.91/152.21 (define @t54 () (_ @t53 @t35)) % 151.91/152.21 (define @t55 () (_ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal)) % 151.91/152.21 (define @t56 () (_ @t55 tptp.tyop_2Eextreal_2Eextreal)) % 151.91/152.21 (define @t57 () (_ @t55 @t56)) % 151.91/152.21 (define @t58 () (_ tptp.s (_ @t49 @t57))) % 151.91/152.21 (define @t59 () (_ @t58 @t35)) % 151.91/152.21 (define @t60 () (_ @t55 tptp.tyop_2Emin_2Ebool)) % 151.91/152.21 (define @t61 () (_ tptp.s @t60)) % 151.91/152.21 (define @t62 () (_ @t61 @t35)) % 151.91/152.21 (define @t63 () (_ tptp.s @t56)) % 151.91/152.21 (define @t64 () (_ @t63 @t35)) % 151.91/152.21 (define @t65 () (_ tptp.s (_ @t55 @t60))) % 151.91/152.21 (define @t66 () (_ @t65 @t35)) % 151.91/152.21 (define @t67 () (_ tptp.s @t57)) % 151.91/152.21 (define @t68 () (_ @t67 @t35)) % 151.91/152.21 (define @t69 () (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t30)) % 151.91/152.21 (define @t70 () (_ @t37 @t69)) % 151.91/152.21 (define @t71 () (@var "V0" tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 151.91/152.21 (define @t72 () (_ tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t71)) % 151.91/152.21 (define @t73 () (_ @t47 @t72)) % 151.91/152.21 (define @t74 () (_ tptp.j_mono_2Etyop_2Eextreal_2Eextreal @t73)) % 151.91/152.21 (define @t75 () (@list @t71)) % 151.91/152.21 (define @t76 () (forall @t75 (= @t74 @t71))) % 151.91/152.21 (define @t77 () (@var "V0" (-> Bool Bool))) % 151.91/152.21 (define @t78 () (_ @t51 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t77))) % 151.91/152.21 (define @t79 () (@var "V0" (-> Bool Bool Bool))) % 151.91/152.21 (define @t80 () (_ @t53 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t79))) % 151.91/152.21 (define @t81 () (@var "V0" (-> Bool tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal))) % 151.91/152.21 (define @t82 () (_ @t58 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 @t81))) % 151.91/152.21 (define @t83 () (@var "V0" (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool))) % 151.91/152.21 (define @t84 () (_ @t61 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @t83))) % 151.91/152.21 (define @t85 () (@var "V0" (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal))) % 151.91/152.21 (define @t86 () (_ @t63 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @t85))) % 151.91/152.21 (define @t87 () (@var "V0" (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal Bool))) % 151.91/152.21 (define @t88 () (_ @t65 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @t87))) % 151.91/152.21 (define @t89 () (@var "V0" (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal))) % 151.91/152.21 (define @t90 () (_ @t67 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @t89))) % 151.91/152.21 (define @t91 () (@var "X0_2E0" tptp.u)) % 151.91/152.21 (define @t92 () (_ @t40 @t91)) % 151.91/152.21 (define @t93 () (_ tptp.s (_ (_ tptp.tyop_2Emin_2Efun @t39) tptp.tyop_2Emin_2Ebool))) % 151.91/152.21 (define @t94 () (@list @t3 @t91)) % 151.91/152.21 (define @t95 () (@var "X1_2E0" tptp.u)) % 151.91/152.21 (define @t96 () (_ @t11 @t95)) % 151.91/152.21 (define @t97 () (_ @t11 @t91)) % 151.91/152.21 (define @t98 () (@var "X2_2E0" tptp.u)) % 151.91/152.21 (define @t99 () (_ @t11 @t98)) % 151.91/152.21 (define @t100 () (@var "X0" Bool)) % 151.91/152.21 (define @t101 () (_ @t37 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t100))) % 151.91/152.21 (define @t102 () (_ @t4 @t17)) % 151.91/152.21 (define @t103 () (_ @t37 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t29))) % 151.91/152.21 (define @t104 () (_ @t77 @t29)) % 151.91/152.21 (define @t105 () (@list @t77 @t29)) % 151.91/152.21 (define @t106 () (_ @t79 @t29)) % 151.91/152.21 (define @t107 () (@list @t79 @t29)) % 151.91/152.21 (define @t108 () (_ @t81 @t29)) % 151.91/152.21 (define @t109 () (@list @t81 @t29)) % 151.91/152.21 (define @t110 () (@var "V1" tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 151.91/152.21 (define @t111 () (_ tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t110)) % 151.91/152.21 (define @t112 () (_ @t47 @t111)) % 151.91/152.21 (define @t113 () (_ @t83 @t110)) % 151.91/152.21 (define @t114 () (@list @t83 @t110)) % 151.91/152.21 (define @t115 () (_ @t85 @t110)) % 151.91/152.21 (define @t116 () (@list @t85 @t110)) % 151.91/152.21 (define @t117 () (_ @t87 @t110)) % 151.91/152.21 (define @t118 () (@list @t87 @t110)) % 151.91/152.21 (define @t119 () (_ @t89 @t110)) % 151.91/152.21 (define @t120 () (@list @t89 @t110)) % 151.91/152.21 (define @t121 () (@var "V2" tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 151.91/152.21 (define @t122 () (_ tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t121)) % 151.91/152.21 (define @t123 () (_ @t47 @t122)) % 151.91/152.21 (define @t124 () (_ (_ (_ tptp.c_2Ebool_2ECOND_2E3 @t70) @t112) @t123)) % 151.91/152.21 (define @t125 () (_ @t47 @t124)) % 151.91/152.21 (define @t126 () (_ (_ (_ tptp.mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @t30) @t110) @t121)) % 151.91/152.21 (define @t127 () (_ tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t126)) % 151.91/152.21 (define @t128 () (_ @t47 @t127)) % 151.91/152.21 (define @t129 () (= @t128 @t125)) % 151.91/152.21 (define @t130 () (@list @t30 @t110 @t121)) % 151.91/152.21 (define @t131 () (forall @t130 @t129)) % 151.91/152.21 (define @t132 () (@var "V1t2" Bool)) % 151.91/152.21 (define @t133 () (@var "V0t1" Bool)) % 151.91/152.21 (define @t134 () (@var "V0t" Bool)) % 151.91/152.21 (define @t135 () (=> tptp.mono_2Ec_2Ebool_2EF @t134)) % 151.91/152.21 (define @t136 () (@list @t134)) % 151.91/152.21 (define @t137 () (forall @t136 @t135)) % 151.91/152.21 (define @t138 () (not @t134)) % 151.91/152.21 (define @t139 () (=> @t134 tptp.mono_2Ec_2Ebool_2EF)) % 151.91/152.21 (define @t140 () (not tptp.mono_2Ec_2Ebool_2EF)) % 151.91/152.21 (define @t141 () (not @t138)) % 151.91/152.21 (define @t142 () (forall @t136 (= @t141 @t134))) % 151.91/152.21 (define @t143 () (_ @t11 @t19)) % 151.91/152.21 (define @t144 () (@var "V1t2_2E0" tptp.u)) % 151.91/152.21 (define @t145 () (_ @t11 @t144)) % 151.91/152.21 (define @t146 () (@var "V0t1_2E0" tptp.u)) % 151.91/152.21 (define @t147 () (_ @t11 @t146)) % 151.91/152.21 (define @t148 () (_ tptp.i_mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2EF)) % 151.91/152.21 (define @t149 () (_ @t37 @t148)) % 151.91/152.21 (define @t150 () (_ tptp.c_2Ebool_2ECOND_2E3 @t149)) % 151.91/152.21 (define @t151 () (_ @t11 (_ (_ @t150 @t147) @t145))) % 151.91/152.21 (define @t152 () (_ tptp.i_mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2ET)) % 151.91/152.21 (define @t153 () (_ @t37 @t152)) % 151.91/152.21 (define @t154 () (_ tptp.c_2Ebool_2ECOND_2E3 @t153)) % 151.91/152.21 (define @t155 () (_ @t11 (_ (_ @t154 @t147) @t145))) % 151.91/152.21 (define @t156 () (and (= @t155 @t147) (= @t151 @t145))) % 151.91/152.21 (define @t157 () (@list @t3 @t146 @t144)) % 151.91/152.21 (define @t158 () (forall @t157 @t156)) % 151.91/152.21 (define @t159 () (@var "V2C" Bool)) % 151.91/152.21 (define @t160 () (@var "V1B" Bool)) % 151.91/152.21 (define @t161 () (@var "V0A" Bool)) % 151.91/152.21 (define @t162 () (or @t161 @t160 @t159)) % 151.91/152.21 (define @t163 () (or @t161 @t160)) % 151.91/152.21 (define @t164 () (@list @t161 @t160)) % 151.91/152.21 (define @t165 () (not @t160)) % 151.91/152.21 (define @t166 () (not @t161)) % 151.91/152.21 (define @t167 () (@var "V2z" tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 151.91/152.21 (define @t168 () (@var "V0x" tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 151.91/152.21 (define @t169 () (_ tptp.mono_2Ec_2Eextreal_2Eextreal__le @t168)) % 151.91/152.21 (define @t170 () (_ @t169 @t167)) % 151.91/152.21 (define @t171 () (@var "V1y" tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 151.91/152.21 (define @t172 () (_ tptp.mono_2Ec_2Eextreal_2Eextreal__le @t171)) % 151.91/152.21 (define @t173 () (_ @t172 @t167)) % 151.91/152.21 (define @t174 () (_ @t169 @t171)) % 151.91/152.21 (define @t175 () (and @t174 @t173)) % 151.91/152.21 (define @t176 () (@list @t168 @t171 @t167)) % 151.91/152.21 (define @t177 () (forall @t176 (=> @t175 @t170))) % 151.91/152.21 (define @t178 () (_ @t172 @t168)) % 151.91/152.21 (define @t179 () (or @t174 @t178)) % 151.91/152.21 (define @t180 () (@list @t168 @t171)) % 151.91/152.21 (define @t181 () (forall @t180 @t179)) % 151.91/152.21 (define @t182 () (_ (_ (_ tptp.mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @t174) @t171) @t168)) % 151.91/152.21 (define @t183 () (_ (_ tptp.mono_2Ec_2Eextreal_2Eextreal__max @t168) @t171)) % 151.91/152.21 (define @t184 () (= @t183 @t182)) % 151.91/152.21 (define @t185 () (forall @t180 @t184)) % 151.91/152.21 (define @t186 () (=> @t166 tptp.mono_2Ec_2Ebool_2EF)) % 151.91/152.21 (define @t187 () (@list @t161)) % 151.91/152.21 (define @t188 () (@var "V0B" Bool)) % 151.91/152.21 (define @t189 () (=> (not @t188) tptp.mono_2Ec_2Ebool_2EF)) % 151.91/152.21 (define @t190 () (@var "V1A" Bool)) % 151.91/152.21 (define @t191 () (@list @t188 @t190)) % 151.91/152.21 (define @t192 () (@var "V2p" Bool)) % 151.91/152.21 (define @t193 () (not @t192)) % 151.91/152.21 (define @t194 () (@var "V1q" Bool)) % 151.91/152.21 (define @t195 () (not @t194)) % 151.91/152.21 (define @t196 () (@var "V0r" Bool)) % 151.91/152.21 (define @t197 () (not @t196)) % 151.91/152.21 (define @t198 () (@list @t196 @t194 @t192)) % 151.91/152.21 (define @t199 () (or @t192 @t197)) % 151.91/152.21 (define @t200 () (@var "V1p" Bool)) % 151.91/152.21 (define @t201 () (@var "V0q" Bool)) % 151.91/152.21 (define @t202 () (not @t201)) % 151.91/152.21 (define @t203 () (@var "V0z" tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 151.91/152.21 (define @t204 () (@var "V2y" tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 151.91/152.21 (define @t205 () (_ (_ tptp.mono_2Ec_2Eextreal_2Eextreal__le @t204) @t203)) % 151.91/152.21 (define @t206 () (@var "V1x" tptp.mono_2Etyop_2Eextreal_2Eextreal)) % 151.91/152.21 (define @t207 () (_ (_ tptp.mono_2Ec_2Eextreal_2Eextreal__le @t206) @t203)) % 151.91/152.21 (define @t208 () (and @t207 @t205)) % 151.91/152.21 (define @t209 () (_ (_ tptp.mono_2Ec_2Eextreal_2Eextreal__max @t206) @t204)) % 151.91/152.21 (define @t210 () (_ (_ tptp.mono_2Ec_2Eextreal_2Eextreal__le @t209) @t203)) % 151.91/152.21 (define @t211 () (= @t210 @t208)) % 151.91/152.21 (define @t212 () (@list @t203 @t206 @t204)) % 151.91/152.21 (define @t213 () (forall @t212 @t211)) % 151.91/152.21 (define @t214 () (not @t213)) % 151.91/152.21 (define @t215 () (@purify false)) % 151.91/152.21 (define @t216 () (@const 0 (@ho-elim-sort (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)))) % 151.91/152.21 (define @t217 () (@const 1 (-> (@ho-elim-sort (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)) tptp.mono_2Etyop_2Eextreal_2Eextreal (@ho-elim-sort (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal))))) % 151.91/152.21 (define @t218 () (@const 2 (-> (@ho-elim-sort (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)) tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal))) % 151.91/152.21 (define @t219 () (_ @t218 (_ @t217 @t216 @t168) @t171)) % 151.91/152.21 (define @t220 () (@const 3 (@ho-elim-sort (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)))) % 151.91/152.21 (define @t221 () (@const 4 (-> (@ho-elim-sort (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) tptp.mono_2Etyop_2Eextreal_2Eextreal (@ho-elim-sort (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool))))) % 151.91/152.21 (define @t222 () (_ @t221 @t220 @t168)) % 151.91/152.21 (define @t223 () (@const 5 (-> (@ho-elim-sort (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) tptp.mono_2Etyop_2Eextreal_2Eextreal Bool))) % 151.91/152.21 (define @t224 () (_ @t223 @t222 @t171)) % 151.91/152.21 (define @t225 () (@const 6 (@ho-elim-sort (-> Bool tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)))) % 151.91/152.21 (define @t226 () (@const 7 (-> (@ho-elim-sort (-> Bool tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)) Bool (@ho-elim-sort (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal))))) % 151.91/152.21 (define @t227 () (_ @t218 (_ @t217 (_ @t226 @t225 @t224) @t171) @t168)) % 151.91/152.21 (define @t228 () (forall @t180 (= @t219 @t227))) % 151.91/152.21 (define @t229 () (tptp.mono_2Ec_2Eextreal_2Eextreal__le @t168 @t171)) % 151.91/152.21 (define @t230 () (tptp.mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @t229 @t171 @t168)) % 151.91/152.21 (define @t231 () (tptp.mono_2Ec_2Eextreal_2Eextreal__max @t168 @t171)) % 151.91/152.21 (define @t232 () (_ @t223 (_ @t221 @t220 (_ @t218 (_ @t217 @t216 @t206) @t204)) @t203)) % 151.91/152.21 (define @t233 () (and (_ @t223 (_ @t221 @t220 @t206) @t203) (_ @t223 (_ @t221 @t220 @t204) @t203))) % 151.91/152.21 (define @t234 () (forall @t212 (= @t233 @t232))) % 151.91/152.21 (define @t235 () (@quantifiers_skolemize @t234 1)) % 151.91/152.21 (define @t236 () (@quantifiers_skolemize @t234 2)) % 151.91/152.21 (define @t237 () (_ @t221 @t220 @t235)) % 151.91/152.21 (define @t238 () (_ @t223 @t237 @t236)) % 151.91/152.21 (define @t239 () (@purify @t238)) % 151.91/152.21 (define @t240 () (_ @t226 @t225 @t238)) % 151.91/152.21 (define @t241 () (_ @t217 @t240 @t236)) % 151.91/152.21 (define @t242 () (_ @t218 @t241 @t235)) % 151.91/152.21 (define @t243 () (_ @t218 (_ @t217 @t216 @t235) @t236)) % 151.91/152.21 (define @t244 () (= @t243 @t242)) % 151.91/152.21 (define @t245 () (forall @t180 (= @t227 @t219))) % 151.91/152.21 (define @t246 () (= @t242 @t243)) % 151.91/152.21 (define @t247 () (@list @t235 @t236)) % 151.91/152.21 (define @t248 () (_ @t226 @t225 @t239)) % 151.91/152.21 (define @t249 () (_ @t217 @t248 @t236)) % 151.91/152.21 (define @t250 () (_ @t218 @t249 @t235)) % 151.91/152.21 (define @t251 () (= @t243 @t250)) % 151.91/152.21 (define @t252 () (@list false)) % 151.91/152.21 (define @t253 () (@const 8 (@ho-elim-sort (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.u)))) % 151.91/152.21 (define @t254 () (@const 9 (-> (@ho-elim-sort (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.u)) tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.u))) % 151.91/152.21 (define @t255 () (@const 10 (@ho-elim-sort (-> tptp.d tptp.u tptp.du)))) % 151.91/152.21 (define @t256 () (@const 11 (-> (@ho-elim-sort (-> tptp.d tptp.u tptp.du)) tptp.d (@ho-elim-sort (-> tptp.u tptp.du))))) % 151.91/152.21 (define @t257 () (_ @t256 @t255 tptp.tyop_2Eextreal_2Eextreal)) % 151.91/152.21 (define @t258 () (@const 12 (-> (@ho-elim-sort (-> tptp.u tptp.du)) tptp.u tptp.du))) % 151.91/152.21 (define @t259 () (@const 13 (@ho-elim-sort (-> tptp.du tptp.mono_2Etyop_2Eextreal_2Eextreal)))) % 151.91/152.21 (define @t260 () (@const 14 (-> (@ho-elim-sort (-> tptp.du tptp.mono_2Etyop_2Eextreal_2Eextreal)) tptp.du tptp.mono_2Etyop_2Eextreal_2Eextreal))) % 151.91/152.21 (define @t261 () (tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t71)) % 151.91/152.21 (define @t262 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t261)) % 151.91/152.21 (define @t263 () (tptp.j_mono_2Etyop_2Eextreal_2Eextreal @t262)) % 151.91/152.21 (define @t264 () (= @t71 @t74)) % 151.91/152.21 (define @t265 () (_ @t258 @t257 (_ @t254 @t253 (_ @t218 (_ @t217 (_ @t226 @t225 @t30) @t110) @t121)))) % 151.91/152.21 (define @t266 () (@const 15 (@ho-elim-sort (-> Bool tptp.u)))) % 151.91/152.21 (define @t267 () (@const 16 (-> (@ho-elim-sort (-> Bool tptp.u)) Bool tptp.u))) % 151.91/152.21 (define @t268 () (_ @t256 @t255 tptp.tyop_2Emin_2Ebool)) % 151.91/152.21 (define @t269 () (@const 17 (@ho-elim-sort (-> tptp.du tptp.du tptp.du tptp.u)))) % 151.91/152.21 (define @t270 () (@const 18 (-> (@ho-elim-sort (-> tptp.du tptp.du tptp.du tptp.u)) tptp.du (@ho-elim-sort (-> tptp.du tptp.du tptp.u))))) % 151.91/152.21 (define @t271 () (@const 19 (-> (@ho-elim-sort (-> tptp.du tptp.du tptp.u)) tptp.du (@ho-elim-sort (-> tptp.du tptp.u))))) % 151.91/152.21 (define @t272 () (@const 20 (-> (@ho-elim-sort (-> tptp.du tptp.u)) tptp.du tptp.u))) % 151.91/152.21 (define @t273 () (_ @t258 @t257 (_ @t272 (_ @t271 (_ @t270 @t269 (_ @t258 @t268 (_ @t267 @t266 @t30))) (_ @t258 @t257 (_ @t254 @t253 @t110))) (_ @t258 @t257 (_ @t254 @t253 @t121))))) % 151.91/152.21 (define @t274 () (forall @t130 (= @t265 @t273))) % 151.91/152.21 (define @t275 () (tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t121)) % 151.91/152.21 (define @t276 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t275)) % 151.91/152.21 (define @t277 () (tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t110)) % 151.91/152.21 (define @t278 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t277)) % 151.91/152.21 (define @t279 () (tptp.i_mono_2Etyop_2Emin_2Ebool @t30)) % 151.91/152.21 (define @t280 () (tptp.s tptp.tyop_2Emin_2Ebool @t279)) % 151.91/152.21 (define @t281 () (tptp.c_2Ebool_2ECOND_2E3 @t280 @t278 @t276)) % 151.91/152.21 (define @t282 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t281)) % 151.91/152.21 (define @t283 () (tptp.mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @t30 @t110 @t121)) % 151.91/152.21 (define @t284 () (tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t283)) % 151.91/152.21 (define @t285 () (tptp.s tptp.tyop_2Eextreal_2Eextreal @t284)) % 151.91/152.21 (define @t286 () (_ @t254 @t253 @t235)) % 151.91/152.21 (define @t287 () (_ @t258 @t257 @t286)) % 151.91/152.21 (define @t288 () (_ @t254 @t253 @t236)) % 151.91/152.21 (define @t289 () (_ @t258 @t257 @t288)) % 151.91/152.21 (define @t290 () (_ @t267 @t266 @t239)) % 151.91/152.21 (define @t291 () (_ @t258 @t268 @t290)) % 151.91/152.21 (define @t292 () (_ @t270 @t269 @t291)) % 151.91/152.21 (define @t293 () (_ @t271 @t292 @t289)) % 151.91/152.21 (define @t294 () (_ @t272 @t293 @t287)) % 151.91/152.21 (define @t295 () (_ @t258 @t257 @t294)) % 151.91/152.21 (define @t296 () (_ @t254 @t253 @t250)) % 151.91/152.21 (define @t297 () (_ @t258 @t257 @t296)) % 151.91/152.21 (define @t298 () (forall @t130 (= @t273 @t265))) % 151.91/152.21 (define @t299 () (= @t295 @t297)) % 151.91/152.21 (define @t300 () (@list @t239 @t236 @t235)) % 151.91/152.21 (define @t301 () (= @t297 @t295)) % 151.91/152.21 (define @t302 () (@var "BOUND_VARIABLE_8963" tptp.u)) % 151.91/152.21 (define @t303 () (@var "BOUND_VARIABLE_8959" tptp.d)) % 151.91/152.21 (define @t304 () (_ @t256 @t255 @t303)) % 151.91/152.21 (define @t305 () (_ @t258 @t304 @t302)) % 151.91/152.21 (define @t306 () (@var "BOUND_VARIABLE_8961" tptp.u)) % 151.91/152.21 (define @t307 () (_ @t267 @t266 false)) % 151.91/152.21 (define @t308 () (_ @t258 @t268 @t307)) % 151.91/152.21 (define @t309 () (_ @t270 @t269 @t308)) % 151.91/152.21 (define @t310 () (@list @t303 @t306 @t302)) % 151.91/152.21 (define @t311 () (forall @t310 (= @t305 (_ @t258 @t304 (_ @t272 (_ @t271 @t309 (_ @t258 @t304 @t306)) @t305))))) % 151.91/152.21 (define @t312 () (@var "BOUND_VARIABLE_8948" tptp.u)) % 151.91/152.21 (define @t313 () (@var "BOUND_VARIABLE_8944" tptp.d)) % 151.91/152.21 (define @t314 () (_ @t256 @t255 @t313)) % 151.91/152.21 (define @t315 () (@var "BOUND_VARIABLE_8946" tptp.u)) % 151.91/152.21 (define @t316 () (_ @t258 @t314 @t315)) % 151.91/152.21 (define @t317 () (_ @t267 @t266 true)) % 151.91/152.21 (define @t318 () (_ @t258 @t268 @t317)) % 151.91/152.21 (define @t319 () (_ @t270 @t269 @t318)) % 151.91/152.21 (define @t320 () (@list @t313 @t315 @t312)) % 151.91/152.21 (define @t321 () (forall @t320 (= @t316 (_ @t258 @t314 (_ @t272 (_ @t271 @t319 @t316) (_ @t258 @t314 @t312)))))) % 151.91/152.21 (define @t322 () (tptp.s @t303 @t302)) % 151.91/152.21 (define @t323 () (tptp.s @t303 @t306)) % 151.91/152.21 (define @t324 () (tptp.s @t313 @t312)) % 151.91/152.21 (define @t325 () (tptp.s @t313 @t315)) % 151.91/152.21 (define @t326 () (or @t134 @t134)) % 151.91/152.21 (define @t327 () (forall @t136 @t134)) % 151.91/152.21 (define @t328 () (or @t140 @t327)) % 151.91/152.21 (define @t329 () (tptp.i_mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2EF)) % 151.91/152.21 (define @t330 () (tptp.s tptp.tyop_2Emin_2Ebool @t329)) % 151.91/152.21 (define @t331 () (tptp.c_2Ebool_2ECOND_2E3 @t330 @t323 @t322)) % 151.91/152.21 (define @t332 () (tptp.s @t303 @t331)) % 151.91/152.21 (define @t333 () (= @t322 @t332)) % 151.91/152.21 (define @t334 () (forall @t310 @t333)) % 151.91/152.21 (define @t335 () (tptp.i_mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2ET)) % 151.91/152.21 (define @t336 () (tptp.s tptp.tyop_2Emin_2Ebool @t335)) % 151.91/152.21 (define @t337 () (tptp.c_2Ebool_2ECOND_2E3 @t336 @t325 @t324)) % 151.91/152.21 (define @t338 () (tptp.s @t313 @t337)) % 151.91/152.21 (define @t339 () (= @t325 @t338)) % 151.91/152.21 (define @t340 () (forall @t320 @t339)) % 151.91/152.21 (define @t341 () (_ tptp.s @t303)) % 151.91/152.21 (define @t342 () (_ @t341 @t302)) % 151.91/152.21 (define @t343 () (_ @t341 @t306)) % 151.91/152.21 (define @t344 () (_ (_ @t150 @t343) @t342)) % 151.91/152.21 (define @t345 () (_ @t341 @t344)) % 151.91/152.21 (define @t346 () (= @t342 @t345)) % 151.91/152.21 (define @t347 () (forall @t310 @t346)) % 151.91/152.21 (define @t348 () (_ tptp.s @t313)) % 151.91/152.21 (define @t349 () (_ @t348 @t312)) % 151.91/152.21 (define @t350 () (_ @t348 @t315)) % 151.91/152.21 (define @t351 () (_ (_ @t154 @t350) @t349)) % 151.91/152.21 (define @t352 () (_ @t348 @t351)) % 151.91/152.21 (define @t353 () (= @t350 @t352)) % 151.91/152.21 (define @t354 () (forall @t320 @t353)) % 151.91/152.21 (define @t355 () (= @t145 @t151)) % 151.91/152.21 (define @t356 () (forall @t157 @t355)) % 151.91/152.21 (define @t357 () (@list @t3 @t146 @t144)) % 151.91/152.21 (define @t358 () (= @t147 @t155)) % 151.91/152.21 (define @t359 () (forall @t157 @t358)) % 151.91/152.21 (define @t360 () (and @t359 @t356)) % 151.91/152.21 (define @t361 () (not @t215)) % 151.91/152.21 (define @t362 () (_ @t271 @t309 @t289)) % 151.91/152.21 (define @t363 () (_ @t272 @t362 @t287)) % 151.91/152.21 (define @t364 () (_ @t258 @t257 @t363)) % 151.91/152.21 (define @t365 () (= @t287 @t364)) % 151.91/152.21 (define @t366 () (@list tptp.tyop_2Eextreal_2Eextreal @t288 @t286)) % 151.91/152.21 (define @t367 () (_ @t267 @t266 @t215)) % 151.91/152.21 (define @t368 () (_ @t258 @t268 @t367)) % 151.91/152.21 (define @t369 () (_ @t270 @t269 @t368)) % 151.91/152.21 (define @t370 () (_ @t271 @t369 @t289)) % 151.91/152.21 (define @t371 () (_ @t272 @t370 @t287)) % 151.91/152.21 (define @t372 () (_ @t258 @t257 @t371)) % 151.91/152.21 (define @t373 () (= @t287 @t372)) % 151.91/152.21 (define @t374 () (@quantifiers_skolemize @t234 0)) % 151.91/152.21 (define @t375 () (_ @t221 @t220 @t236)) % 151.91/152.21 (define @t376 () (_ @t223 @t375 @t374)) % 151.91/152.21 (define @t377 () (_ @t223 @t237 @t374)) % 151.91/152.21 (define @t378 () (and @t377 @t376)) % 151.91/152.21 (define @t379 () (not @t378)) % 151.91/152.21 (define @t380 () (@purify @t376)) % 151.91/152.21 (define @t381 () (forall @t212 (= @t232 @t233))) % 151.91/152.21 (define @t382 () (not @t381)) % 151.91/152.21 (define @t383 () (tptp.mono_2Ec_2Eextreal_2Eextreal__le @t204 @t203)) % 151.91/152.21 (define @t384 () (tptp.mono_2Ec_2Eextreal_2Eextreal__le @t206 @t203)) % 151.91/152.21 (define @t385 () (tptp.mono_2Ec_2Eextreal_2Eextreal__max @t206 @t204)) % 151.91/152.21 (define @t386 () (tptp.mono_2Ec_2Eextreal_2Eextreal__le @t385 @t203)) % 151.91/152.21 (define @t387 () (_ @t221 @t220 @t243)) % 151.91/152.21 (define @t388 () (_ @t223 @t387 @t374)) % 151.91/152.21 (define @t389 () (= @t378 @t388)) % 151.91/152.21 (define @t390 () (@purify true)) % 151.91/152.21 (define @t391 () (_ @t271 @t319 @t289)) % 151.91/152.21 (define @t392 () (_ @t272 @t391 @t287)) % 151.91/152.21 (define @t393 () (_ @t258 @t257 @t392)) % 151.91/152.21 (define @t394 () (= @t289 @t393)) % 151.91/152.21 (define @t395 () (_ @t258 @t257 (_ @t272 (_ @t271 (_ @t270 @t269 (_ @t258 @t268 (_ @t267 @t266 @t390))) @t289) @t287))) % 151.91/152.21 (define @t396 () (= @t289 @t395)) % 151.91/152.21 (define @t397 () (= @t395 (_ @t258 @t257 (_ @t254 @t253 (_ @t218 (_ @t217 (_ @t226 @t225 @t390) @t236) @t235))))) % 151.91/152.21 (define @t398 () (not @t397)) % 151.91/152.21 (define @t399 () (not @t396)) % 151.91/152.21 (define @t400 () (_ @t254 @t253 @t243)) % 151.91/152.21 (define @t401 () (_ @t258 @t257 @t400)) % 151.91/152.21 (define @t402 () (_ @t260 @t259 @t401)) % 151.91/152.21 (define @t403 () (= @t243 @t402)) % 151.91/152.21 (define @t404 () (not @t403)) % 151.91/152.21 (define @t405 () (= @t236 (_ @t260 @t259 @t289))) % 151.91/152.21 (define @t406 () (not @t405)) % 151.91/152.21 (define @t407 () (not @t251)) % 151.91/152.21 (define @t408 () (not @t239)) % 151.91/152.21 (define @t409 () (not @t390)) % 151.91/152.21 (define @t410 () (not @t388)) % 151.91/152.21 (define @t411 () (not @t376)) % 151.91/152.21 (define @t412 () (= true false)) % 151.91/152.21 (define @t413 () (and @t397 @t396 @t403 @t239 @t251 @t390 @t411 @t405 @t388)) % 151.91/152.21 (define @t414 () (_ @t221 @t220 @t171)) % 151.91/152.21 (define @t415 () (tptp.mono_2Ec_2Eextreal_2Eextreal__le @t168 @t167)) % 151.91/152.21 (define @t416 () (tptp.mono_2Ec_2Eextreal_2Eextreal__le @t171 @t167)) % 151.91/152.21 (define @t417 () (not @t173)) % 151.91/152.21 (define @t418 () (not @t174)) % 151.91/152.21 (define @t419 () (or @t418 @t417 @t170)) % 151.91/152.21 (define @t420 () (_ @t223 @t375 @t243)) % 151.91/152.21 (define @t421 () (not @t420)) % 151.91/152.21 (define @t422 () (or @t421 @t410 @t376)) % 151.91/152.21 (define @t423 () (not @t238)) % 151.91/152.21 (define @t424 () (tptp.mono_2Ec_2Eextreal_2Eextreal__le @t171 @t168)) % 151.91/152.21 (define @t425 () (_ @t223 @t375 @t235)) % 151.91/152.21 (define @t426 () (or @t238 @t425)) % 151.91/152.21 (define @t427 () (not @t425)) % 151.91/152.21 (define @t428 () (not @t373)) % 151.91/152.21 (define @t429 () (not @t301)) % 151.91/152.21 (define @t430 () (_ @t260 @t259 @t287)) % 151.91/152.21 (define @t431 () (= @t235 @t430)) % 151.91/152.21 (define @t432 () (not @t431)) % 151.91/152.21 (define @t433 () (not @t408)) % 151.91/152.21 (define @t434 () (not @t380)) % 151.91/152.21 (define @t435 () (not @t361)) % 151.91/152.21 (define @t436 () (_ @t267 @t266 @t380)) % 151.91/152.21 (define @t437 () (_ @t258 @t268 @t436)) % 151.91/152.21 (define @t438 () (and @t361 @t434 @t251 @t408 @t431 @t403 @t301 @t421 @t373)) % 151.91/152.21 (define @t439 () (@purify @t377)) % 151.91/152.21 (define @t440 () (@purify @t388)) % 151.91/152.21 (define @t441 () (not @t439)) % 151.91/152.21 (define @t442 () (not @t410)) % 151.91/152.21 (define @t443 () (= false true)) % 151.91/152.21 (define @t444 () (_ @t267 @t266 @t439)) % 151.91/152.21 (define @t445 () (_ @t258 @t268 @t444)) % 151.91/152.21 (define @t446 () (and @t376 @t405 @t396 @t390 @t439 @t239 @t301 @t251 @t403 @t410)) % 151.91/152.21 (define @t447 () (not @t377)) % 151.91/152.21 (define @t448 () (not @t440)) % 151.91/152.21 (define @t449 () (_ @t267 @t266 @t440)) % 151.91/152.21 (define @t450 () (_ @t258 @t268 @t449)) % 151.91/152.21 (define @t451 () (and @t377 @t431 @t373 @t361 @t448 @t408 @t301 @t251 @t403 @t410)) % 151.91/152.21 (define @t452 () (@list true)) % 151.91/152.21 (define @t453 () (@list @t377)) % 151.91/152.21 (define @t454 () (or @t423 @t411 @t377)) % 151.91/152.21 (define @t455 () (and @t447 @t431 @t373 @t361 @t441 @t408 @t301 @t251 @t403 @t388)) % 151.91/152.21 (assume @p1 (forall (@list @t3 @t2 @t8 @t1) (=> (forall (@list @t10) (= (_ @t13 (_ (_ tptp.app_2E2 @t9) @t12)) @t14)) (= @t9 @t7)))) % 151.91/152.21 (assume @p2 (forall (@list @t3 @t15) (= (_ @t11 (_ (_ tptp.app_2E2 (_ @t18 tptp.combin_i_2E0)) @t16)) @t16))) % 151.91/152.21 (assume @p3 (forall (@list @t3 @t2 @t15 @t19) (= (_ @t11 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t21) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t4 @t21)) tptp.combin_k_2E0)) @t16))) (_ @t13 @t19))) @t16))) % 151.91/152.21 (assume @p4 (forall (@list @t3 @t2 @t22 @t8 @t1 @t10) (= (_ @t26 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t27) (_ (_ tptp.app_2E2 (_ (_ tptp.s @t28) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ (_ tptp.tyop_2Emin_2Efun @t24) @t28)) tptp.combin_s_2E0)) @t25))) @t7))) @t12)) (_ @t26 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t23) (_ (_ tptp.app_2E2 @t25) @t12))) @t14))))) % 151.91/152.21 (assume @p5 (forall @t31 (= (_ (_ tptp.mono_2Ec_2Ebool_2E_2F_5C @t30) @t29) (and @t30 @t29)))) % 151.91/152.21 (assume @p6 (forall @t31 (= (_ (_ tptp.mono_2Ec_2Ebool_2E_5C_2F @t30) @t29) (or @t30 @t29)))) % 151.91/152.21 (assume @p7 (forall @t32 (= (_ tptp.mono_2Ec_2Ebool_2E_7E @t30) (not @t30)))) % 151.91/152.21 (assume @p8 (forall @t31 (= (_ (_ tptp.mono_2Ec_2Emin_2E_3D_3D_3E @t30) @t29) (=> @t30 @t29)))) % 151.91/152.21 (assume @p9 (forall (@list @t3 @t35 @t33) (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ (_ tptp.c_2Emin_2E_3D_2E2 @t36) @t34))) (= @t36 @t34)))) % 151.91/152.21 (assume @p10 (forall @t44 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ tptp.c_2Ebool_2E_21_2E1 @t41))) (forall @t43 @t42)))) % 151.91/152.21 (assume @p11 (forall @t44 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ tptp.c_2Ebool_2E_3F_2E1 @t41))) (exists @t43 @t42)))) % 151.91/152.21 (assume @p12 (forall @t46 (= (_ @t37 (_ tptp.i_mono_2Etyop_2Emin_2Ebool (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t45))) @t45))) % 151.91/152.21 (assume @p13 (forall @t46 (= (_ @t47 (_ tptp.i_mono_2Etyop_2Eextreal_2Eextreal (_ tptp.j_mono_2Etyop_2Eextreal_2Eextreal @t48))) @t48))) % 151.91/152.21 (assume @p14 (forall @t46 (= (_ @t51 (_ 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 @t52))) @t52))) % 151.91/152.21 (assume @p15 (forall @t46 (= (_ @t53 (_ 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 @t54))) @t54))) % 151.91/152.21 (assume @p16 (forall @t46 (= (_ @t58 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 @t59))) @t59))) % 151.91/152.21 (assume @p17 (forall @t46 (= (_ @t61 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @t62))) @t62))) % 151.91/152.21 (assume @p18 (forall @t46 (= (_ @t63 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @t64))) @t64))) % 151.91/152.21 (assume @p19 (forall @t46 (= (_ @t65 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @t66))) @t66))) % 151.91/152.21 (assume @p20 (forall @t46 (= (_ @t67 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @t68))) @t68))) % 151.91/152.21 (assume @p21 (forall @t32 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool @t70) @t30))) % 151.91/152.21 (assume @p22 @t76) % 151.91/152.21 (assume @p23 (forall (@list @t77) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t78) @t77))) % 151.91/152.21 (assume @p24 (forall (@list @t79) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t80) @t79))) % 151.91/152.21 (assume @p25 (forall (@list @t81) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 @t82) @t81))) % 151.91/152.21 (assume @p26 (forall (@list @t83) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @t84) @t83))) % 151.91/152.21 (assume @p27 (forall (@list @t85) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @t86) @t85))) % 151.91/152.21 (assume @p28 (forall (@list @t87) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @t88) @t87))) % 151.91/152.21 (assume @p29 (forall (@list @t89) (= (_ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @t90) @t89))) % 151.91/152.21 (assume @p30 (forall @t94 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ tptp.c_2Ebool_2E_21_2E1 @t92))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ (_ tptp.app_2E2 (_ @t93 tptp.c_2Ebool_2E_21_2E0)) @t92)))))) % 151.91/152.21 (assume @p31 (forall (@list @t3 @t91 @t95) (= (= @t97 @t96) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ (_ tptp.app_2E2 (_ @t40 (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t4 @t39)) tptp.c_2Emin_2E_3D_2E0)) @t97))) @t96)))))) % 151.91/152.21 (assume @p32 (forall @t94 (= (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ tptp.c_2Ebool_2E_3F_2E1 @t92))) (_ tptp.j_mono_2Etyop_2Emin_2Ebool (_ @t37 (_ (_ tptp.app_2E2 (_ @t93 tptp.c_2Ebool_2E_3F_2E0)) @t92)))))) % 151.91/152.21 (assume @p33 (forall (@list @t3 @t100 @t95 @t98) (= (_ @t11 (_ (_ (_ tptp.c_2Ebool_2ECOND_2E3 @t101) @t96) @t99)) (_ @t11 (_ (_ tptp.app_2E2 (_ @t18 (_ (_ tptp.app_2E2 (_ (_ tptp.s @t102) (_ (_ tptp.app_2E2 (_ (_ tptp.s (_ @t49 @t102)) tptp.c_2Ebool_2ECOND_2E0)) @t101))) @t96))) @t99))))) % 151.91/152.21 (assume @p34 (forall @t105 (= (_ @t37 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t104)) (_ @t37 (_ (_ tptp.app_2E2 @t78) @t103))))) % 151.91/152.21 (assume @p35 (forall @t107 (= (_ @t51 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t106)) (_ @t51 (_ (_ tptp.app_2E2 @t80) @t103))))) % 151.91/152.21 (assume @p36 (forall @t109 (= (_ @t67 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @t108)) (_ @t67 (_ (_ tptp.app_2E2 @t82) @t103))))) % 151.91/152.21 (assume @p37 (forall @t114 (= (_ @t37 (_ tptp.i_mono_2Etyop_2Emin_2Ebool @t113)) (_ @t37 (_ (_ tptp.app_2E2 @t84) @t112))))) % 151.91/152.21 (assume @p38 (forall @t116 (= (_ @t47 (_ tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t115)) (_ @t47 (_ (_ tptp.app_2E2 @t86) @t112))))) % 151.91/152.21 (assume @p39 (forall @t118 (= (_ @t61 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @t117)) (_ @t61 (_ (_ tptp.app_2E2 @t88) @t112))))) % 151.91/152.21 (assume @p40 (forall @t120 (= (_ @t63 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @t119)) (_ @t63 (_ (_ tptp.app_2E2 @t90) @t112))))) % 151.91/152.21 (assume @p41 (= (_ @t58 (_ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29_29 tptp.mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal)) (_ @t58 tptp.c_2Ebool_2ECOND_2E0))) % 151.91/152.21 (assume @p42 @t131) % 151.91/152.21 (assume @p43 (forall @t105 (= @t104 @t104))) % 151.91/152.21 (assume @p44 (forall @t107 (= @t106 @t106))) % 151.91/152.21 (assume @p45 (forall @t109 (= @t108 @t108))) % 151.91/152.21 (assume @p46 (forall @t114 (= @t113 @t113))) % 151.91/152.21 (assume @p47 (forall @t116 (= @t115 @t115))) % 151.91/152.21 (assume @p48 (forall @t118 (= @t117 @t117))) % 151.91/152.21 (assume @p49 (forall @t120 (= @t119 @t119))) % 151.91/152.21 (assume @p50 tptp.mono_2Ec_2Ebool_2ET) % 151.91/152.21 (assume @p51 (forall (@list @t133 @t132) (=> (=> @t133 @t132) (=> (=> @t132 @t133) (= @t133 @t132))))) % 151.91/152.21 (assume @p52 @t137) % 151.91/152.21 (assume @p53 (forall @t136 (or @t134 @t138))) % 151.91/152.21 (assume @p54 (forall @t136 (=> @t139 @t138))) % 151.91/152.21 (assume @p55 (forall @t136 (=> @t138 @t139))) % 151.91/152.21 (assume @p56 (forall @t136 (and (= (=> tptp.mono_2Ec_2Ebool_2ET @t134) @t134) (= (=> @t134 tptp.mono_2Ec_2Ebool_2ET) tptp.mono_2Ec_2Ebool_2ET) (= @t135 tptp.mono_2Ec_2Ebool_2ET) (= (=> @t134 @t134) tptp.mono_2Ec_2Ebool_2ET) (= @t139 @t138)))) % 151.91/152.21 (assume @p57 (and @t142 (= (not tptp.mono_2Ec_2Ebool_2ET) tptp.mono_2Ec_2Ebool_2EF) (= @t140 tptp.mono_2Ec_2Ebool_2ET))) % 151.91/152.21 (assume @p58 (forall (@list @t3 @t15 @t19) (= (= @t16 @t143) (= @t143 @t16)))) % 151.91/152.21 (assume @p59 (forall @t136 (and (= (= tptp.mono_2Ec_2Ebool_2ET @t134) @t134) (= (= @t134 tptp.mono_2Ec_2Ebool_2ET) @t134) (= (= tptp.mono_2Ec_2Ebool_2EF @t134) @t138) (= (= @t134 tptp.mono_2Ec_2Ebool_2EF) @t138)))) % 151.91/152.21 (assume @p60 @t158) % 151.91/152.21 (assume @p61 (forall (@list @t161 @t160 @t159) (= @t162 @t162))) % 151.91/152.21 (assume @p62 (forall @t164 (= @t163 (or @t160 @t161)))) % 151.91/152.21 (assume @p63 (forall @t164 (and (= (not (and @t161 @t160)) (or @t166 @t165)) (= (not @t163) (and @t166 @t165))))) % 151.91/152.21 (assume @p64 @t177) % 151.91/152.21 (assume @p65 @t181) % 151.91/152.21 (assume @p66 @t185) % 151.91/152.21 (assume @p67 @t142) % 151.91/152.21 (assume @p68 (forall @t187 (=> @t161 @t186))) % 151.91/152.21 (assume @p69 (forall @t191 (= (=> (not (or @t190 @t188)) tptp.mono_2Ec_2Ebool_2EF) (=> (=> @t190 tptp.mono_2Ec_2Ebool_2EF) @t189)))) % 151.91/152.21 (assume @p70 (forall @t191 (= (=> (not (or (not @t190) @t188)) tptp.mono_2Ec_2Ebool_2EF) (=> @t190 @t189)))) % 151.91/152.21 (assume @p71 (forall @t187 (=> @t186 (=> (=> @t161 tptp.mono_2Ec_2Ebool_2EF) tptp.mono_2Ec_2Ebool_2EF)))) % 151.91/152.21 (assume @p72 (forall @t198 (= (= @t192 (= @t194 @t196)) (and (or @t192 @t194 @t196) (or @t192 @t197 @t195) (or @t194 @t197 @t193) (or @t196 @t195 @t193))))) % 151.91/152.21 (assume @p73 (forall @t198 (= (= @t192 (and @t194 @t196)) (and (or @t192 @t195 @t197) (or @t194 @t193) (or @t196 @t193))))) % 151.91/152.21 (assume @p74 (forall @t198 (= (= @t192 (or @t194 @t196)) (and (or @t192 @t195) @t199 (or @t194 @t196 @t193))))) % 151.91/152.21 (assume @p75 (forall @t198 (= (= @t192 (=> @t194 @t196)) (and (or @t192 @t194) @t199 (or @t195 @t196 @t193))))) % 151.91/152.21 (assume @p76 (forall (@list @t201 @t200) (= (= @t200 @t202) (and (or @t200 @t201) (or @t202 (not @t200)))))) % 151.91/152.21 (assume @p77 @t214) % 151.91/152.21 (assume @p78 true) % 151.91/152.21 (step @p79 :rule bool-eq-false :args (@t215)) % 151.91/152.21 (step @p80 :rule skolem_intro :args (@t215)) % 151.91/152.21 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 151.91/152.21 (step @p82 :rule eq-symm :args (@t219 @t227)) % 151.91/152.21 (step @p83 :rule cong :premises (@p82) :args (@t228)) % 151.91/152.21 ; WARNING: add trust step for TRUST % 151.91/152.21 ; trust TRUST PREPROCESS_HO_ELIM % 151.91/152.21 (step @p84 :rule trust :premises () :args ((= (forall @t180 (= @t231 @t230)) @t228))) % 151.91/152.21 (step @p85 :rule refl :args ((tptp.mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @t174 @t171 @t168))) % 151.91/152.21 (step @p86 :rule refl :args (@t168)) % 151.91/152.21 (step @p87 :rule refl :args (@t171)) % 151.91/152.21 (step @p88 :rule refl :args (@t229)) % 151.91/152.21 (step @p89 :rule cong :premises (@p88 @p87 @p86) :args (@t230)) % 151.91/152.21 (step @p90 :rule trans :premises (@p89 @p85)) % 151.91/152.21 (step @p91 :rule refl :args (tptp.mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal)) % 151.91/152.21 (step @p92 :rule ho_cong :premises (@p91 @p88)) % 151.91/152.21 (step @p93 :rule ho_cong :premises (@p92 @p87)) % 151.91/152.21 (step @p94 :rule ho_cong :premises (@p93 @p86)) % 151.91/152.21 (step @p95 :rule cong :premises (@p94 @p90) :args ((= (_ (_ (_ tptp.mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Eextreal_2Eextreal @t229) @t171) @t168) @t230))) % 151.91/152.21 (step @p96 :rule symm :premises (@p95)) % 151.91/152.21 (step @p97 :rule refl :args (@t182)) % 151.91/152.21 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 151.91/152.21 (step @p99 :rule refl :args (@t174)) % 151.91/152.21 (step @p100 :rule cong :premises (@p99 @p88) :args ((= @t174 @t229))) % 151.91/152.21 (step @p101 :rule symm :premises (@p100)) % 151.91/152.21 (step @p102 :rule eq_resolve :premises (@p99 @p101)) % 151.91/152.21 (step @p103 :rule ho_cong :premises (@p91 @p102)) % 151.91/152.21 (step @p104 :rule ho_cong :premises (@p103 @p87)) % 151.91/152.21 (step @p105 :rule ho_cong :premises (@p104 @p86)) % 151.91/152.21 (step @p106 :rule trans :premises (@p105 @p98)) % 151.91/152.21 (step @p107 :rule refl :args (@t231)) % 151.91/152.21 (step @p108 :rule refl :args (@t183)) % 151.91/152.21 (step @p109 :rule cong :premises (@p108 @p107) :args ((= @t183 @t231))) % 151.91/152.21 (step @p110 :rule symm :premises (@p109)) % 151.91/152.21 (step @p111 :rule eq_resolve :premises (@p108 @p110)) % 151.91/152.21 (step @p112 :rule cong :premises (@p111 @p106) :args (@t184)) % 151.91/152.21 (step @p113 :rule cong :premises (@p112) :args (@t185)) % 151.91/152.21 (step @p114 :rule trans :premises (@p113 @p84 @p83)) % 151.91/152.21 (step @p115 :rule eq_resolve :premises (@p66 @p114)) % 151.91/152.21 (step @p116 :rule refl :args (@t235)) % 151.91/152.21 (step @p117 :rule refl :args (@t236)) % 151.91/152.21 (step @p118 :rule eq-refl :args (@t238)) % 151.91/152.21 (step @p119 :rule skolem_intro :args (@t239)) % 151.91/152.21 (step @p120 :rule refl :args (@t238)) % 151.91/152.21 (step @p121 :rule cong :premises (@p120 @p119) :args ((= @t238 @t239))) % 151.91/152.21 (step @p122 :rule trans :premises (@p121 @p118)) % 151.91/152.21 (step @p123 :rule true_elim :premises (@p122)) % 151.91/152.21 (step @p124 :rule refl :args (@t225)) % 151.91/152.21 (step @p125 :rule cong :premises (@p124 @p123) :args (@t240)) % 151.91/152.21 (step @p126 :rule cong :premises (@p125 @p117) :args (@t241)) % 151.91/152.21 (step @p127 :rule cong :premises (@p126 @p116) :args (@t242)) % 151.91/152.21 (step @p128 :rule refl :args (@t243)) % 151.91/152.21 (step @p129 :rule cong :premises (@p128 @p127) :args (@t244)) % 151.91/152.21 (step @p130 :rule refl :args (@t245)) % 151.91/152.21 (step @p131 :rule cong :premises (@p130 @p129) :args ((=> @t245 @t244))) % 151.91/152.21 (step @p132 :rule eq-symm :args (@t242 @t243)) % 151.91/152.21 (step @p133 :rule cong :premises (@p130 @p132) :args ((=> @t245 @t246))) % 151.91/152.21 (assume-push @p1031 @t245) % 151.91/152.21 (step @p135 :rule instantiate :premises (@p115) :args (@t247)) % 151.91/152.21 (step-pop @p1032 :rule scope :premises (@p135)) % 151.91/152.21 (step @p136 :rule process_scope :premises (@p1032) :args (@t246)) % 151.91/152.21 (step @p138 :rule eq_resolve :premises (@p136 @p133)) % 151.91/152.21 (step @p139 :rule eq_resolve :premises (@p138 @p131)) % 151.91/152.21 (step @p140 :rule implies_elim :premises (@p139)) % 151.91/152.21 (step @p141 :rule chain_m_resolution :premises (@p140 @p115) :args (@t251 @t252 (@list @t245))) % 151.91/152.21 ; trust TRUST PREPROCESS_HO_ELIM % 151.91/152.21 (step @p142 :rule trust :premises () :args ((= (forall @t75 (= @t71 @t263)) (forall @t75 (= @t71 (_ @t260 @t259 (_ @t258 @t257 (_ @t254 @t253 @t71)))))))) % 151.91/152.21 (step @p143 :rule refl :args ((tptp.j_mono_2Etyop_2Eextreal_2Eextreal @t73))) % 151.91/152.21 (step @p144 :rule refl :args ((tptp.s tptp.tyop_2Eextreal_2Eextreal @t72))) % 151.91/152.21 (step @p145 :rule refl :args (@t261)) % 151.91/152.21 (step @p146 :rule refl :args (tptp.tyop_2Eextreal_2Eextreal)) % 151.91/152.21 (step @p147 :rule cong :premises (@p146 @p145) :args (@t262)) % 151.91/152.21 (step @p148 :rule trans :premises (@p147 @p144)) % 151.91/152.21 (step @p149 :rule cong :premises (@p148) :args (@t263)) % 151.91/152.21 (step @p150 :rule trans :premises (@p149 @p143)) % 151.91/152.21 (step @p151 :rule refl :args (tptp.j_mono_2Etyop_2Eextreal_2Eextreal)) % 151.91/152.21 (step @p152 :rule ho_cong :premises (@p151 @p148)) % 151.91/152.21 (step @p153 :rule cong :premises (@p152 @p150) :args ((= (_ tptp.j_mono_2Etyop_2Eextreal_2Eextreal @t262) @t263))) % 151.91/152.21 (step @p154 :rule symm :premises (@p153)) % 151.91/152.21 (step @p155 :rule refl :args (@t74)) % 151.91/152.21 (step @p156 :rule eq_resolve :premises (@p155 @p154)) % 151.91/152.21 (step @p157 :rule refl :args (@t47)) % 151.91/152.21 (step @p158 :rule ho_cong :premises (@p157 @p145)) % 151.91/152.21 (step @p159 :rule cong :premises (@p158 @p148) :args ((= (_ @t47 @t261) @t262))) % 151.91/152.21 (step @p160 :rule symm :premises (@p159)) % 151.91/152.21 (step @p161 :rule refl :args (@t73)) % 151.91/152.21 (step @p162 :rule eq_resolve :premises (@p161 @p160)) % 151.91/152.21 (step @p163 :rule refl :args (@t72)) % 151.91/152.21 (step @p164 :rule cong :premises (@p163 @p145) :args ((= @t72 @t261))) % 151.91/152.21 (step @p165 :rule symm :premises (@p164)) % 151.91/152.21 (step @p166 :rule eq_resolve :premises (@p163 @p165)) % 151.91/152.21 (step @p167 :rule ho_cong :premises (@p157 @p166)) % 151.91/152.21 (step @p168 :rule trans :premises (@p167 @p162)) % 151.91/152.21 (step @p169 :rule ho_cong :premises (@p151 @p168)) % 151.91/152.21 (step @p170 :rule trans :premises (@p169 @p156)) % 151.91/152.21 (step @p171 :rule refl :args (@t71)) % 151.91/152.21 (step @p172 :rule cong :premises (@p171 @p170) :args (@t264)) % 151.91/152.21 (step @p173 :rule cong :premises (@p172) :args ((forall @t75 @t264))) % 151.91/152.21 (step @p174 :rule eq-symm :args (@t74 @t71)) % 151.91/152.21 (step @p175 :rule cong :premises (@p174) :args (@t76)) % 151.91/152.21 (step @p176 :rule trans :premises (@p175 @p173)) % 151.91/152.21 (step @p177 :rule trans :premises (@p176 @p142)) % 151.91/152.21 (step @p178 :rule eq_resolve :premises (@p22 @p177)) % 151.91/152.21 (step @p179 :rule instantiate :premises (@p178) :args ((@list @t235))) % 151.91/152.21 (step @p180 :rule instantiate :premises (@p178) :args ((@list @t243))) % 151.91/152.21 (step @p181 :rule eq-symm :args (@t265 @t273)) % 151.91/152.21 (step @p182 :rule cong :premises (@p181) :args (@t274)) % 151.91/152.21 ; trust TRUST PREPROCESS_HO_ELIM % 151.91/152.21 (step @p183 :rule trust :premises () :args ((= (forall @t130 (= @t285 @t282)) @t274))) % 151.91/152.21 (step @p184 :rule refl :args ((tptp.s tptp.tyop_2Eextreal_2Eextreal @t124))) % 151.91/152.21 (step @p185 :rule refl :args ((tptp.c_2Ebool_2ECOND_2E3 @t70 @t112 @t123))) % 151.91/152.21 (step @p186 :rule refl :args ((tptp.s tptp.tyop_2Eextreal_2Eextreal @t122))) % 151.91/152.21 (step @p187 :rule refl :args (@t275)) % 151.91/152.21 (step @p188 :rule cong :premises (@p146 @p187) :args (@t276)) % 151.91/152.21 (step @p189 :rule trans :premises (@p188 @p186)) % 151.91/152.21 (step @p190 :rule refl :args ((tptp.s tptp.tyop_2Eextreal_2Eextreal @t111))) % 151.91/152.21 (step @p191 :rule refl :args (@t277)) % 151.91/152.21 (step @p192 :rule cong :premises (@p146 @p191) :args (@t278)) % 151.91/152.21 (step @p193 :rule trans :premises (@p192 @p190)) % 151.91/152.21 (step @p194 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t69))) % 151.91/152.21 (step @p195 :rule refl :args (@t279)) % 151.91/152.21 (step @p196 :rule refl :args (tptp.tyop_2Emin_2Ebool)) % 151.91/152.21 (step @p197 :rule cong :premises (@p196 @p195) :args (@t280)) % 151.91/152.21 (step @p198 :rule trans :premises (@p197 @p194)) % 151.91/152.21 (step @p199 :rule cong :premises (@p198 @p193 @p189) :args (@t281)) % 151.91/152.21 (step @p200 :rule trans :premises (@p199 @p185)) % 151.91/152.21 (step @p201 :rule cong :premises (@p146 @p200) :args (@t282)) % 151.91/152.21 (step @p202 :rule trans :premises (@p201 @p184)) % 151.91/152.21 (step @p203 :rule ho_cong :premises (@p157 @p200)) % 151.91/152.21 (step @p204 :rule cong :premises (@p203 @p202) :args ((= (_ @t47 @t281) @t282))) % 151.91/152.21 (step @p205 :rule symm :premises (@p204)) % 151.91/152.21 (step @p206 :rule refl :args (@t125)) % 151.91/152.21 (step @p207 :rule eq_resolve :premises (@p206 @p205)) % 151.91/152.21 (step @p208 :rule refl :args (tptp.c_2Ebool_2ECOND_2E3)) % 151.91/152.21 (step @p209 :rule ho_cong :premises (@p208 @p198)) % 151.91/152.21 (step @p210 :rule ho_cong :premises (@p209 @p193)) % 151.91/152.21 (step @p211 :rule ho_cong :premises (@p210 @p189)) % 151.91/152.21 (step @p212 :rule cong :premises (@p211 @p200) :args ((= (_ (_ (_ tptp.c_2Ebool_2ECOND_2E3 @t280) @t278) @t276) @t281))) % 151.91/152.21 (step @p213 :rule symm :premises (@p212)) % 151.91/152.21 (step @p214 :rule refl :args (@t124)) % 151.91/152.21 (step @p215 :rule eq_resolve :premises (@p214 @p213)) % 151.91/152.21 (step @p216 :rule ho_cong :premises (@p157 @p187)) % 151.91/152.21 (step @p217 :rule cong :premises (@p216 @p189) :args ((= (_ @t47 @t275) @t276))) % 151.91/152.21 (step @p218 :rule symm :premises (@p217)) % 151.91/152.21 (step @p219 :rule refl :args (@t123)) % 151.91/152.21 (step @p220 :rule eq_resolve :premises (@p219 @p218)) % 151.91/152.21 (step @p221 :rule refl :args (@t122)) % 151.91/152.21 (step @p222 :rule cong :premises (@p221 @p187) :args ((= @t122 @t275))) % 151.91/152.21 (step @p223 :rule symm :premises (@p222)) % 151.91/152.21 (step @p224 :rule eq_resolve :premises (@p221 @p223)) % 151.91/152.21 (step @p225 :rule ho_cong :premises (@p157 @p224)) % 151.91/152.21 (step @p226 :rule trans :premises (@p225 @p220)) % 151.91/152.21 (step @p227 :rule ho_cong :premises (@p157 @p191)) % 151.91/152.21 (step @p228 :rule cong :premises (@p227 @p193) :args ((= (_ @t47 @t277) @t278))) % 151.91/152.21 (step @p229 :rule symm :premises (@p228)) % 151.91/152.21 (step @p230 :rule refl :args (@t112)) % 151.91/152.21 (step @p231 :rule eq_resolve :premises (@p230 @p229)) % 151.91/152.21 (step @p232 :rule refl :args (@t111)) % 151.91/152.21 (step @p233 :rule cong :premises (@p232 @p191) :args ((= @t111 @t277))) % 151.91/152.21 (step @p234 :rule symm :premises (@p233)) % 151.91/152.21 (step @p235 :rule eq_resolve :premises (@p232 @p234)) % 151.91/152.21 (step @p236 :rule ho_cong :premises (@p157 @p235)) % 151.91/152.21 (step @p237 :rule trans :premises (@p236 @p231)) % 151.91/152.21 (step @p238 :rule refl :args (@t37)) % 151.91/152.21 (step @p239 :rule ho_cong :premises (@p238 @p195)) % 151.91/152.21 (step @p240 :rule cong :premises (@p239 @p198) :args ((= (_ @t37 @t279) @t280))) % 151.91/152.21 (step @p241 :rule symm :premises (@p240)) % 151.91/152.21 (step @p242 :rule refl :args (@t70)) % 151.91/152.21 (step @p243 :rule eq_resolve :premises (@p242 @p241)) % 151.91/152.21 (step @p244 :rule refl :args (@t69)) % 151.91/152.21 (step @p245 :rule cong :premises (@p244 @p195) :args ((= @t69 @t279))) % 151.91/152.21 (step @p246 :rule symm :premises (@p245)) % 151.91/152.21 (step @p247 :rule eq_resolve :premises (@p244 @p246)) % 151.91/152.21 (step @p248 :rule ho_cong :premises (@p238 @p247)) % 151.91/152.21 (step @p249 :rule trans :premises (@p248 @p243)) % 151.91/152.21 (step @p250 :rule ho_cong :premises (@p208 @p249)) % 151.91/152.21 (step @p251 :rule ho_cong :premises (@p250 @p237)) % 151.91/152.21 (step @p252 :rule ho_cong :premises (@p251 @p226)) % 151.91/152.21 (step @p253 :rule trans :premises (@p252 @p215)) % 151.91/152.21 (step @p254 :rule ho_cong :premises (@p157 @p253)) % 151.91/152.21 (step @p255 :rule trans :premises (@p254 @p207)) % 151.91/152.21 (step @p256 :rule refl :args ((tptp.s tptp.tyop_2Eextreal_2Eextreal @t127))) % 151.91/152.21 (step @p257 :rule refl :args ((tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t126))) % 151.91/152.21 (step @p258 :rule refl :args (@t283)) % 151.91/152.21 (step @p259 :rule cong :premises (@p258) :args (@t284)) % 151.91/152.21 (step @p260 :rule trans :premises (@p259 @p257)) % 151.91/152.21 (step @p261 :rule cong :premises (@p146 @p260) :args (@t285)) % 151.91/152.21 (step @p262 :rule trans :premises (@p261 @p256)) % 151.91/152.21 (step @p263 :rule ho_cong :premises (@p157 @p260)) % 151.91/152.21 (step @p264 :rule cong :premises (@p263 @p262) :args ((= (_ @t47 @t284) @t285))) % 151.91/152.21 (step @p265 :rule symm :premises (@p264)) % 151.91/152.21 (step @p266 :rule refl :args (@t128)) % 151.91/152.21 (step @p267 :rule eq_resolve :premises (@p266 @p265)) % 151.91/152.21 (step @p268 :rule refl :args (tptp.i_mono_2Etyop_2Eextreal_2Eextreal)) % 151.91/152.21 (step @p269 :rule ho_cong :premises (@p268 @p258)) % 151.91/152.21 (step @p270 :rule cong :premises (@p269 @p260) :args ((= (_ tptp.i_mono_2Etyop_2Eextreal_2Eextreal @t283) @t284))) % 151.91/152.21 (step @p271 :rule symm :premises (@p270)) % 151.91/152.21 (step @p272 :rule refl :args (@t127)) % 151.91/152.21 (step @p273 :rule eq_resolve :premises (@p272 @p271)) % 151.91/152.21 (step @p274 :rule refl :args (@t126)) % 151.91/152.21 (step @p275 :rule cong :premises (@p274 @p258) :args ((= @t126 @t283))) % 151.91/152.21 (step @p276 :rule symm :premises (@p275)) % 151.91/152.21 (step @p277 :rule eq_resolve :premises (@p274 @p276)) % 151.91/152.21 (step @p278 :rule ho_cong :premises (@p268 @p277)) % 151.91/152.21 (step @p279 :rule trans :premises (@p278 @p273)) % 151.91/152.21 (step @p280 :rule ho_cong :premises (@p157 @p279)) % 151.91/152.21 (step @p281 :rule trans :premises (@p280 @p267)) % 151.91/152.21 (step @p282 :rule cong :premises (@p281 @p255) :args (@t129)) % 151.91/152.21 (step @p283 :rule cong :premises (@p282) :args (@t131)) % 151.91/152.21 (step @p284 :rule trans :premises (@p283 @p183 @p182)) % 151.91/152.21 (step @p285 :rule eq_resolve :premises (@p42 @p284)) % 151.91/152.21 (step @p286 :rule eq-symm :args (@t295 @t297)) % 151.91/152.21 (step @p287 :rule refl :args (@t298)) % 151.91/152.21 (step @p288 :rule cong :premises (@p287 @p286) :args ((=> @t298 @t299))) % 151.91/152.21 (assume-push @p1033 @t298) % 151.91/152.21 (step @p290 :rule instantiate :premises (@p285) :args (@t300)) % 151.91/152.21 (step-pop @p1034 :rule scope :premises (@p290)) % 151.91/152.21 (step @p291 :rule process_scope :premises (@p1034) :args (@t299)) % 151.91/152.21 (step @p293 :rule eq_resolve :premises (@p291 @p288)) % 151.91/152.21 (step @p294 :rule implies_elim :premises (@p293)) % 151.91/152.21 (step @p295 :rule chain_m_resolution :premises (@p294 @p285) :args (@t301 @t252 (@list @t298))) % 151.91/152.21 ; trust TRUST PREPROCESS_HO_ELIM % 151.91/152.21 (step @p296 :rule trust :premises () :args ((= (and (forall @t320 (= @t325 (tptp.s @t313 (tptp.c_2Ebool_2ECOND_2E3 (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool true)) @t325 @t324)))) (forall @t310 (= @t322 (tptp.s @t303 (tptp.c_2Ebool_2ECOND_2E3 (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool false)) @t323 @t322))))) (and @t321 @t311)))) % 151.91/152.21 (step @p297 :rule refl :args (@t322)) % 151.91/152.21 (step @p298 :rule refl :args (@t323)) % 151.91/152.21 (step @p299 :rule bool-eq-false :args (tptp.mono_2Ec_2Ebool_2EF)) % 151.91/152.21 (step @p300 :rule symm :premises (@p299)) % 151.91/152.21 (step @p301 :rule aci_norm :args ((= (or @t140 false) @t140))) % 151.91/152.21 (step @p302 :rule quant-var-elim-eq :args ((= (forall @t136 (or (not (= @t134 false)) @t134)) false))) % 151.91/152.21 (step @p303 :rule refl :args (@t134)) % 151.91/152.21 (step @p304 :rule bool-eq-false :args (@t134)) % 151.91/152.21 (step @p305 :rule symm :premises (@p304)) % 151.91/152.21 (step @p306 :rule cong :premises (@p305) :args (@t141)) % 151.91/152.21 (step @p307 :rule bool-double-not-elim :args (@t134)) % 151.91/152.21 (step @p308 :rule symm :premises (@p307)) % 151.91/152.21 (step @p309 :rule trans :premises (@p308 @p306)) % 151.91/152.21 (step @p310 :rule nary_cong :premises (@p309 @p303) :args (@t326)) % 151.91/152.21 (step @p311 :rule aci_norm :args ((= @t134 @t326))) % 151.91/152.21 (step @p312 :rule trans :premises (@p311 @p310)) % 151.91/152.21 (step @p313 :rule cong :premises (@p312) :args (@t327)) % 151.91/152.21 (step @p314 :rule trans :premises (@p313 @p302)) % 151.91/152.21 (step @p315 :rule refl :args (@t140)) % 151.91/152.21 (step @p316 :rule nary_cong :premises (@p315 @p314) :args (@t328)) % 151.91/152.21 (step @p317 :rule trans :premises (@p316 @p301)) % 151.91/152.21 (step @p318 :rule quant-miniscope-or :args ((= (forall @t136 (or @t140 @t134)) @t328))) % 151.91/152.21 (step @p319 :rule trans :premises (@p318 @p317)) % 151.91/152.21 (step @p320 :rule bool-impl-elim :args (tptp.mono_2Ec_2Ebool_2EF @t134)) % 151.91/152.21 (step @p321 :rule cong :premises (@p320) :args (@t137)) % 151.91/152.21 (step @p322 :rule trans :premises (@p321 @p319)) % 151.91/152.21 (step @p323 :rule eq_resolve :premises (@p52 @p322)) % 151.91/152.21 (step @p324 :rule eq_resolve :premises (@p323 @p300)) % 151.91/152.21 (step @p325 :rule cong :premises (@p324) :args (@t329)) % 151.91/152.21 (step @p326 :rule refl :args (tptp.tyop_2Emin_2Ebool)) % 151.91/152.21 (step @p327 :rule cong :premises (@p326 @p325) :args (@t330)) % 151.91/152.21 (step @p328 :rule cong :premises (@p327 @p298 @p297) :args (@t331)) % 151.91/152.21 (step @p329 :rule refl :args (@t303)) % 151.91/152.21 (step @p330 :rule cong :premises (@p329 @p328) :args (@t332)) % 151.91/152.21 (step @p331 :rule cong :premises (@p297 @p330) :args (@t333)) % 151.91/152.21 (step @p332 :rule cong :premises (@p331) :args (@t334)) % 151.91/152.21 (step @p333 :rule refl :args (@t324)) % 151.91/152.21 (step @p334 :rule refl :args (@t325)) % 151.91/152.21 (step @p335 :rule bool-eq-true :args (tptp.mono_2Ec_2Ebool_2ET)) % 151.91/152.21 (step @p336 :rule symm :premises (@p335)) % 151.91/152.21 (step @p337 :rule eq_resolve :premises (@p50 @p336)) % 151.91/152.21 (step @p338 :rule cong :premises (@p337) :args (@t335)) % 151.91/152.21 (step @p339 :rule cong :premises (@p326 @p338) :args (@t336)) % 151.91/152.21 (step @p340 :rule cong :premises (@p339 @p334 @p333) :args (@t337)) % 151.91/152.21 (step @p341 :rule refl :args (@t313)) % 151.91/152.21 (step @p342 :rule cong :premises (@p341 @p340) :args (@t338)) % 151.91/152.21 (step @p343 :rule cong :premises (@p334 @p342) :args (@t339)) % 151.91/152.21 (step @p344 :rule cong :premises (@p343) :args (@t340)) % 151.91/152.21 (step @p345 :rule nary_cong :premises (@p344 @p332) :args ((and @t340 @t334))) % 151.91/152.21 (step @p346 :rule refl :args ((tptp.s @t303 @t344))) % 151.91/152.21 (step @p347 :rule refl :args ((tptp.c_2Ebool_2ECOND_2E3 @t149 @t343 @t342))) % 151.91/152.21 (step @p348 :rule refl :args (@t322)) % 151.91/152.21 (step @p349 :rule refl :args (@t323)) % 151.91/152.21 (step @p350 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t148))) % 151.91/152.21 (step @p351 :rule refl :args (@t329)) % 151.91/152.21 (step @p352 :rule cong :premises (@p196 @p351) :args (@t330)) % 151.91/152.21 (step @p353 :rule trans :premises (@p352 @p350)) % 151.91/152.21 (step @p354 :rule cong :premises (@p353 @p349 @p348) :args (@t331)) % 151.91/152.21 (step @p355 :rule trans :premises (@p354 @p347)) % 151.91/152.21 (step @p356 :rule refl :args (@t303)) % 151.91/152.21 (step @p357 :rule cong :premises (@p356 @p355) :args (@t332)) % 151.91/152.21 (step @p358 :rule trans :premises (@p357 @p346)) % 151.91/152.21 (step @p359 :rule refl :args (@t341)) % 151.91/152.21 (step @p360 :rule ho_cong :premises (@p359 @p355)) % 151.91/152.21 (step @p361 :rule cong :premises (@p360 @p358) :args ((= (_ @t341 @t331) @t332))) % 151.91/152.21 (step @p362 :rule symm :premises (@p361)) % 151.91/152.21 (step @p363 :rule refl :args (@t345)) % 151.91/152.21 (step @p364 :rule eq_resolve :premises (@p363 @p362)) % 151.91/152.21 (step @p365 :rule ho_cong :premises (@p208 @p353)) % 151.91/152.21 (step @p366 :rule ho_cong :premises (@p365 @p349)) % 151.91/152.21 (step @p367 :rule ho_cong :premises (@p366 @p348)) % 151.91/152.21 (step @p368 :rule cong :premises (@p367 @p355) :args ((= (_ (_ (_ tptp.c_2Ebool_2ECOND_2E3 @t330) @t323) @t322) @t331))) % 151.91/152.21 (step @p369 :rule symm :premises (@p368)) % 151.91/152.21 (step @p370 :rule refl :args (@t344)) % 151.91/152.21 (step @p371 :rule eq_resolve :premises (@p370 @p369)) % 151.91/152.21 (step @p372 :rule refl :args (@t342)) % 151.91/152.21 (step @p373 :rule cong :premises (@p372 @p348) :args ((= @t342 @t322))) % 151.91/152.21 (step @p374 :rule symm :premises (@p373)) % 151.91/152.21 (step @p375 :rule eq_resolve :premises (@p372 @p374)) % 151.91/152.21 (step @p376 :rule refl :args (@t343)) % 151.91/152.21 (step @p377 :rule cong :premises (@p376 @p349) :args ((= @t343 @t323))) % 151.91/152.21 (step @p378 :rule symm :premises (@p377)) % 151.91/152.21 (step @p379 :rule eq_resolve :premises (@p376 @p378)) % 151.91/152.21 (step @p380 :rule ho_cong :premises (@p238 @p351)) % 151.91/152.21 (step @p381 :rule cong :premises (@p380 @p353) :args ((= (_ @t37 @t329) @t330))) % 151.91/152.21 (step @p382 :rule symm :premises (@p381)) % 151.91/152.21 (step @p383 :rule refl :args (@t149)) % 151.91/152.21 (step @p384 :rule eq_resolve :premises (@p383 @p382)) % 151.91/152.21 (step @p385 :rule refl :args (@t148)) % 151.91/152.21 (step @p386 :rule cong :premises (@p385 @p351) :args ((= @t148 @t329))) % 151.91/152.21 (step @p387 :rule symm :premises (@p386)) % 151.91/152.21 (step @p388 :rule eq_resolve :premises (@p385 @p387)) % 151.91/152.21 (step @p389 :rule ho_cong :premises (@p238 @p388)) % 151.91/152.21 (step @p390 :rule trans :premises (@p389 @p384)) % 151.91/152.21 (step @p391 :rule ho_cong :premises (@p208 @p390)) % 151.91/152.21 (step @p392 :rule ho_cong :premises (@p391 @p379)) % 151.91/152.21 (step @p393 :rule ho_cong :premises (@p392 @p375)) % 151.91/152.21 (step @p394 :rule trans :premises (@p393 @p371)) % 151.91/152.21 (step @p395 :rule ho_cong :premises (@p359 @p394)) % 151.91/152.21 (step @p396 :rule trans :premises (@p395 @p364)) % 151.91/152.21 (step @p397 :rule cong :premises (@p375 @p396) :args (@t346)) % 151.91/152.21 (step @p398 :rule cong :premises (@p397) :args (@t347)) % 151.91/152.21 (step @p399 :rule refl :args ((tptp.s @t313 @t351))) % 151.91/152.21 (step @p400 :rule refl :args ((tptp.c_2Ebool_2ECOND_2E3 @t153 @t350 @t349))) % 151.91/152.21 (step @p401 :rule refl :args (@t324)) % 151.91/152.21 (step @p402 :rule refl :args (@t325)) % 151.91/152.21 (step @p403 :rule refl :args ((tptp.s tptp.tyop_2Emin_2Ebool @t152))) % 151.91/152.21 (step @p404 :rule refl :args (@t335)) % 151.91/152.21 (step @p405 :rule cong :premises (@p196 @p404) :args (@t336)) % 151.91/152.21 (step @p406 :rule trans :premises (@p405 @p403)) % 151.91/152.21 (step @p407 :rule cong :premises (@p406 @p402 @p401) :args (@t337)) % 151.91/152.21 (step @p408 :rule trans :premises (@p407 @p400)) % 151.91/152.21 (step @p409 :rule refl :args (@t313)) % 151.91/152.21 (step @p410 :rule cong :premises (@p409 @p408) :args (@t338)) % 151.91/152.21 (step @p411 :rule trans :premises (@p410 @p399)) % 151.91/152.21 (step @p412 :rule refl :args (@t348)) % 151.91/152.21 (step @p413 :rule ho_cong :premises (@p412 @p408)) % 151.91/152.21 (step @p414 :rule cong :premises (@p413 @p411) :args ((= (_ @t348 @t337) @t338))) % 151.91/152.21 (step @p415 :rule symm :premises (@p414)) % 151.91/152.21 (step @p416 :rule refl :args (@t352)) % 151.91/152.21 (step @p417 :rule eq_resolve :premises (@p416 @p415)) % 151.91/152.21 (step @p418 :rule ho_cong :premises (@p208 @p406)) % 151.91/152.21 (step @p419 :rule ho_cong :premises (@p418 @p402)) % 151.91/152.21 (step @p420 :rule ho_cong :premises (@p419 @p401)) % 151.91/152.21 (step @p421 :rule cong :premises (@p420 @p408) :args ((= (_ (_ (_ tptp.c_2Ebool_2ECOND_2E3 @t336) @t325) @t324) @t337))) % 151.91/152.21 (step @p422 :rule symm :premises (@p421)) % 151.91/152.21 (step @p423 :rule refl :args (@t351)) % 151.91/152.21 (step @p424 :rule eq_resolve :premises (@p423 @p422)) % 151.91/152.21 (step @p425 :rule refl :args (@t349)) % 151.91/152.21 (step @p426 :rule cong :premises (@p425 @p401) :args ((= @t349 @t324))) % 151.91/152.21 (step @p427 :rule symm :premises (@p426)) % 151.91/152.21 (step @p428 :rule eq_resolve :premises (@p425 @p427)) % 151.91/152.21 (step @p429 :rule refl :args (@t350)) % 151.91/152.21 (step @p430 :rule cong :premises (@p429 @p402) :args ((= @t350 @t325))) % 151.91/152.21 (step @p431 :rule symm :premises (@p430)) % 151.91/152.21 (step @p432 :rule eq_resolve :premises (@p429 @p431)) % 151.91/152.21 (step @p433 :rule ho_cong :premises (@p238 @p404)) % 151.91/152.21 (step @p434 :rule cong :premises (@p433 @p406) :args ((= (_ @t37 @t335) @t336))) % 151.91/152.21 (step @p435 :rule symm :premises (@p434)) % 151.91/152.21 (step @p436 :rule refl :args (@t153)) % 151.91/152.21 (step @p437 :rule eq_resolve :premises (@p436 @p435)) % 151.91/152.21 (step @p438 :rule refl :args (@t152)) % 151.91/152.21 (step @p439 :rule cong :premises (@p438 @p404) :args ((= @t152 @t335))) % 151.91/152.21 (step @p440 :rule symm :premises (@p439)) % 151.91/152.21 (step @p441 :rule eq_resolve :premises (@p438 @p440)) % 151.91/152.21 (step @p442 :rule ho_cong :premises (@p238 @p441)) % 151.91/152.21 (step @p443 :rule trans :premises (@p442 @p437)) % 151.91/152.21 (step @p444 :rule ho_cong :premises (@p208 @p443)) % 151.91/152.21 (step @p445 :rule ho_cong :premises (@p444 @p432)) % 151.91/152.21 (step @p446 :rule ho_cong :premises (@p445 @p428)) % 151.91/152.21 (step @p447 :rule trans :premises (@p446 @p424)) % 151.91/152.21 (step @p448 :rule ho_cong :premises (@p412 @p447)) % 151.91/152.21 (step @p449 :rule trans :premises (@p448 @p417)) % 151.91/152.21 (step @p450 :rule cong :premises (@p432 @p449) :args (@t353)) % 151.91/152.21 (step @p451 :rule cong :premises (@p450) :args (@t354)) % 151.91/152.21 (step @p452 :rule nary_cong :premises (@p451 @p398) :args ((and @t354 @t347))) % 151.91/152.21 (step @p453 :rule alpha_equiv :args (@t356 @t357 (@list @t303 @t306 @t302))) % 151.91/152.21 (step @p454 :rule alpha_equiv :args (@t359 @t357 (@list @t313 @t315 @t312))) % 151.91/152.21 (step @p455 :rule nary_cong :premises (@p454 @p453) :args (@t360)) % 151.91/152.21 (step @p456 :rule quant-miniscope-and :args ((= (forall @t157 (and @t358 @t355)) @t360))) % 151.91/152.21 (step @p457 :rule trans :premises (@p456 @p455)) % 151.91/152.21 (step @p458 :rule trans :premises (@p457 @p452)) % 151.91/152.21 (step @p459 :rule eq-symm :args (@t151 @t145)) % 151.91/152.21 (step @p460 :rule eq-symm :args (@t155 @t147)) % 151.91/152.21 (step @p461 :rule nary_cong :premises (@p460 @p459) :args (@t156)) % 151.91/152.21 (step @p462 :rule cong :premises (@p461) :args (@t158)) % 151.91/152.21 (step @p463 :rule trans :premises (@p462 @p458)) % 151.91/152.21 (step @p464 :rule trans :premises (@p463 @p345 @p296)) % 151.91/152.21 (step @p465 :rule eq_resolve :premises (@p60 @p464)) % 151.91/152.21 (step @p466 :rule and_elim :premises (@p465) :args (1)) % 151.91/152.21 (step @p467 :rule refl :args (@t287)) % 151.91/152.21 (step @p468 :rule refl :args (@t289)) % 151.91/152.21 (step @p469 :rule evaluate :args ((not false))) % 151.91/152.21 (step @p470 :rule cong :premises (@p80) :args (@t361)) % 151.91/152.21 (step @p471 :rule bool-eq-false :args (@t215)) % 151.91/152.21 (step @p472 :rule eq-symm :args (false @t215)) % 151.91/152.21 (step @p473 :rule trans :premises (@p472 @p471)) % 151.91/152.21 (step @p474 :rule trans :premises (@p473 @p470 @p469)) % 151.91/152.21 (step @p475 :rule true_elim :premises (@p474)) % 151.91/152.21 (step @p476 :rule refl :args (@t266)) % 151.91/152.21 (step @p477 :rule cong :premises (@p476 @p475) :args (@t307)) % 151.91/152.21 (step @p478 :rule refl :args (@t268)) % 151.91/152.21 (step @p479 :rule cong :premises (@p478 @p477) :args (@t308)) % 151.91/152.21 (step @p480 :rule refl :args (@t269)) % 151.91/152.21 (step @p481 :rule cong :premises (@p480 @p479) :args (@t309)) % 151.91/152.21 (step @p482 :rule cong :premises (@p481 @p468) :args (@t362)) % 151.91/152.21 (step @p483 :rule cong :premises (@p482 @p467) :args (@t363)) % 151.91/152.21 (step @p484 :rule refl :args (@t257)) % 151.91/152.21 (step @p485 :rule cong :premises (@p484 @p483) :args (@t364)) % 151.91/152.21 (step @p486 :rule cong :premises (@p467 @p485) :args (@t365)) % 151.91/152.21 (step @p487 :rule refl :args (@t311)) % 151.91/152.21 (step @p488 :rule cong :premises (@p487 @p486) :args ((=> @t311 @t365))) % 151.91/152.21 (assume-push @p1035 @t311) % 151.91/152.21 (step @p490 :rule instantiate :premises (@p466) :args (@t366)) % 151.91/152.21 (step-pop @p1036 :rule scope :premises (@p490)) % 151.91/152.21 (step @p491 :rule process_scope :premises (@p1036) :args (@t365)) % 151.91/152.21 (step @p493 :rule eq_resolve :premises (@p491 @p488)) % 151.91/152.21 (step @p494 :rule implies_elim :premises (@p493)) % 151.91/152.21 (step @p495 :rule chain_m_resolution :premises (@p494 @p466) :args (@t373 @t252 (@list @t311))) % 151.91/152.21 (step @p496 :rule cnf_and_pos :args (@t378 1)) % 151.91/152.21 (step @p497 :rule reordering :premises (@p496) :args ((or @t376 @t379))) % 151.91/152.21 (step @p498 :rule skolem_intro :args (@t380)) % 151.91/152.21 (step @p499 :rule symm :premises (@p498)) % 151.91/152.21 (step @p500 :rule equiv_elim2 :premises (@p499)) % 151.91/152.21 (step @p501 :rule eq-symm :args (@t232 @t233)) % 151.91/152.21 (step @p502 :rule cong :premises (@p501) :args (@t381)) % 151.91/152.21 (step @p503 :rule cong :premises (@p502) :args (@t382)) % 151.91/152.21 ; trust TRUST PREPROCESS_HO_ELIM % 151.91/152.21 (step @p504 :rule trust :premises () :args ((= (not (forall @t212 (= @t386 (and @t384 @t383)))) @t382))) % 151.91/152.21 (step @p505 :rule refl :args (@t383)) % 151.91/152.21 (step @p506 :rule refl :args (@t205)) % 151.91/152.21 (step @p507 :rule cong :premises (@p506 @p505) :args ((= @t205 @t383))) % 151.91/152.21 (step @p508 :rule symm :premises (@p507)) % 151.91/152.21 (step @p509 :rule eq_resolve :premises (@p506 @p508)) % 151.91/152.21 (step @p510 :rule refl :args (@t384)) % 151.91/152.21 (step @p511 :rule refl :args (@t207)) % 151.91/152.21 (step @p512 :rule cong :premises (@p511 @p510) :args ((= @t207 @t384))) % 151.91/152.21 (step @p513 :rule symm :premises (@p512)) % 151.91/152.21 (step @p514 :rule eq_resolve :premises (@p511 @p513)) % 151.91/152.21 (step @p515 :rule nary_cong :premises (@p514 @p509) :args (@t208)) % 151.91/152.21 (step @p516 :rule refl :args ((tptp.mono_2Ec_2Eextreal_2Eextreal__le @t209 @t203))) % 151.91/152.21 (step @p517 :rule refl :args (@t203)) % 151.91/152.21 (step @p518 :rule refl :args (@t385)) % 151.91/152.21 (step @p519 :rule cong :premises (@p518 @p517) :args (@t386)) % 151.91/152.21 (step @p520 :rule trans :premises (@p519 @p516)) % 151.91/152.21 (step @p521 :rule refl :args (tptp.mono_2Ec_2Eextreal_2Eextreal__le)) % 151.91/152.21 (step @p522 :rule ho_cong :premises (@p521 @p518)) % 151.91/152.21 (step @p523 :rule ho_cong :premises (@p522 @p517)) % 151.91/152.21 (step @p524 :rule cong :premises (@p523 @p520) :args ((= (_ (_ tptp.mono_2Ec_2Eextreal_2Eextreal__le @t385) @t203) @t386))) % 151.91/152.21 (step @p525 :rule symm :premises (@p524)) % 151.91/152.21 (step @p526 :rule refl :args (@t210)) % 151.91/152.21 (step @p527 :rule eq_resolve :premises (@p526 @p525)) % 151.91/152.21 (step @p528 :rule refl :args (@t209)) % 151.91/152.21 (step @p529 :rule cong :premises (@p528 @p518) :args ((= @t209 @t385))) % 151.91/152.21 (step @p530 :rule symm :premises (@p529)) % 151.91/152.21 (step @p531 :rule eq_resolve :premises (@p528 @p530)) % 151.91/152.21 (step @p532 :rule ho_cong :premises (@p521 @p531)) % 151.91/152.21 (step @p533 :rule ho_cong :premises (@p532 @p517)) % 151.91/152.21 (step @p534 :rule trans :premises (@p533 @p527)) % 151.91/152.21 (step @p535 :rule cong :premises (@p534 @p515) :args (@t211)) % 151.91/152.21 (step @p536 :rule cong :premises (@p535) :args (@t213)) % 151.91/152.21 (step @p537 :rule cong :premises (@p536) :args (@t214)) % 151.91/152.21 (step @p538 :rule trans :premises (@p537 @p504 @p503)) % 151.91/152.21 (step @p539 :rule eq_resolve :premises (@p77 @p538)) % 151.91/152.21 (step @p540 :rule skolemize :premises (@p539)) % 151.91/152.21 (step @p541 :rule cnf_equiv_neg1 :args (@t389)) % 151.91/152.21 (step @p542 :rule reordering :premises (@p541) :args ((or @t378 @t388 @t389))) % 151.91/152.21 (step @p543 :rule bool-eq-true :args (@t390)) % 151.91/152.21 (step @p544 :rule skolem_intro :args (@t390)) % 151.91/152.21 (step @p545 :rule eq_resolve :premises (@p544 @p543)) % 151.91/152.21 (step @p546 :rule instantiate :premises (@p178) :args ((@list @t236))) % 151.91/152.21 (step @p547 :rule and_elim :premises (@p465) :args (0)) % 151.91/152.21 (step @p548 :rule symm :premises (@p544)) % 151.91/152.21 (step @p549 :rule cong :premises (@p476 @p548) :args (@t317)) % 151.91/152.21 (step @p550 :rule cong :premises (@p478 @p549) :args (@t318)) % 151.91/152.21 (step @p551 :rule cong :premises (@p480 @p550) :args (@t319)) % 151.91/152.21 (step @p552 :rule cong :premises (@p551 @p468) :args (@t391)) % 151.91/152.21 (step @p553 :rule cong :premises (@p552 @p467) :args (@t392)) % 151.91/152.21 (step @p554 :rule cong :premises (@p484 @p553) :args (@t393)) % 151.91/152.21 (step @p555 :rule cong :premises (@p468 @p554) :args (@t394)) % 151.91/152.21 (step @p556 :rule refl :args (@t321)) % 151.91/152.21 (step @p557 :rule cong :premises (@p556 @p555) :args ((=> @t321 @t394))) % 151.91/152.21 (assume-push @p1037 @t321) % 151.91/152.21 (step @p559 :rule instantiate :premises (@p547) :args (@t366)) % 151.91/152.21 (step-pop @p1038 :rule scope :premises (@p559)) % 151.91/152.21 (step @p560 :rule process_scope :premises (@p1038) :args (@t394)) % 151.91/152.21 (step @p562 :rule eq_resolve :premises (@p560 @p557)) % 151.91/152.21 (step @p563 :rule implies_elim :premises (@p562)) % 151.91/152.21 (step @p564 :rule chain_m_resolution :premises (@p563 @p547) :args (@t396 @t252 (@list @t321))) % 151.91/152.21 (step @p565 :rule instantiate :premises (@p285) :args ((@list @t390 @t236 @t235))) % 151.91/152.21 (step @p566 :rule refl :args (@t398)) % 151.91/152.21 (step @p567 :rule refl :args (@t399)) % 151.91/152.21 (step @p568 :rule refl :args (@t404)) % 151.91/152.21 (step @p569 :rule refl :args (@t406)) % 151.91/152.21 (step @p570 :rule refl :args (@t407)) % 151.91/152.21 (step @p571 :rule refl :args (@t408)) % 151.91/152.21 (step @p572 :rule refl :args (@t409)) % 151.91/152.21 (step @p573 :rule bool-double-not-elim :args (@t376)) % 151.91/152.21 (step @p574 :rule refl :args (@t410)) % 151.91/152.21 (step @p575 :rule nary_cong :premises (@p574 @p573 @p572 @p571 @p570 @p569 @p568 @p567 @p566) :args ((or @t410 (not @t411) @t409 @t408 @t407 @t406 @t404 @t399 @t398))) % 151.91/152.21 (assume-push @p1039 @t397) % 151.91/152.21 (assume-push @p1040 @t396) % 151.91/152.21 (assume-push @p1041 @t403) % 151.91/152.21 (assume-push @p1042 @t239) % 151.91/152.21 (assume-push @p1043 @t251) % 151.91/152.21 (assume-push @p1044 @t390) % 151.91/152.21 (assume-push @p1045 @t411) % 151.91/152.21 (assume-push @p1046 @t405) % 151.91/152.21 (assume-push @p1047 @t388) % 151.91/152.21 (step @p585 :rule evaluate :args (@t412)) % 151.91/152.21 (step @p586 :rule false_intro :premises (@p1045)) % 151.91/152.21 (step @p587 :rule refl :args (@t374)) % 151.91/152.21 (step @p588 :rule symm :premises (@p546)) % 151.91/152.21 (step @p589 :rule symm :premises (@p564)) % 151.91/152.21 (step @p590 :rule symm :premises (@p565)) % 151.91/152.21 (step @p591 :rule true_intro :premises (@p1042)) % 151.91/152.21 (step @p592 :rule trans :premises (@p591 @p548)) % 151.91/152.21 (step @p593 :rule cong :premises (@p124 @p592) :args (@t248)) % 151.91/152.21 (step @p594 :rule cong :premises (@p593 @p117) :args (@t249)) % 151.91/152.21 (step @p595 :rule cong :premises (@p594 @p116) :args (@t250)) % 151.91/152.21 (step @p596 :rule trans :premises (@p141 @p595)) % 151.91/152.21 (step @p597 :rule refl :args (@t253)) % 151.91/152.21 (step @p598 :rule cong :premises (@p597 @p596) :args (@t400)) % 151.91/152.21 (step @p599 :rule cong :premises (@p484 @p598) :args (@t401)) % 151.91/152.21 (step @p600 :rule trans :premises (@p599 @p590 @p589)) % 151.91/152.21 (step @p601 :rule refl :args (@t259)) % 151.91/152.21 (step @p602 :rule cong :premises (@p601 @p600) :args (@t402)) % 151.91/152.21 (step @p603 :rule trans :premises (@p180 @p602 @p588)) % 151.91/152.21 (step @p604 :rule refl :args (@t220)) % 151.91/152.21 (step @p605 :rule cong :premises (@p604 @p603) :args (@t387)) % 151.91/152.21 (step @p606 :rule cong :premises (@p605 @p587) :args (@t388)) % 151.91/152.21 (step @p607 :rule true_intro :premises (@p1047)) % 151.91/152.21 (step @p608 :rule symm :premises (@p607)) % 151.91/152.21 (step @p609 :rule trans :premises (@p608 @p606 @p586)) % 151.91/152.21 (step @p610 false :rule eq_resolve :premises (@p609 @p585)) % 151.91/152.21 (step-pop @p1048 :rule scope :premises (@p610)) % 151.91/152.21 (step-pop @p1049 :rule scope :premises (@p1048)) % 151.91/152.21 (step-pop @p1050 :rule scope :premises (@p1049)) % 151.91/152.21 (step-pop @p1051 :rule scope :premises (@p1050)) % 151.91/152.21 (step-pop @p1052 :rule scope :premises (@p1051)) % 151.91/152.21 (step-pop @p1053 :rule scope :premises (@p1052)) % 151.91/152.21 (step-pop @p1054 :rule scope :premises (@p1053)) % 151.91/152.21 (step-pop @p1055 :rule scope :premises (@p1054)) % 151.91/152.21 (step-pop @p1056 :rule scope :premises (@p1055)) % 151.91/152.21 (step @p611 :rule process_scope :premises (@p1056) :args (false)) % 151.91/152.21 (assume-push @p1057 @t388) % 151.91/152.21 (assume-push @p1058 @t411) % 151.91/152.21 (assume-push @p1059 @t390) % 151.91/152.21 (assume-push @p1060 @t239) % 151.91/152.21 (assume-push @p1061 @t251) % 151.91/152.21 (assume-push @p1062 @t405) % 151.91/152.21 (assume-push @p1063 @t403) % 151.91/152.21 (assume-push @p1064 @t396) % 151.91/152.21 (assume-push @p1065 @t397) % 151.91/152.21 (step @p630 :rule and_intro :premises (@p565 @p564 @p180 @p1060 @p141 @p545 @p1058 @p546 @p1057)) % 151.91/152.21 (step-pop @p1066 :rule scope :premises (@p630)) % 151.91/152.21 (step-pop @p1067 :rule scope :premises (@p1066)) % 151.91/152.21 (step-pop @p1068 :rule scope :premises (@p1067)) % 151.91/152.21 (step-pop @p1069 :rule scope :premises (@p1068)) % 151.91/152.21 (step-pop @p1070 :rule scope :premises (@p1069)) % 151.91/152.21 (step-pop @p1071 :rule scope :premises (@p1070)) % 151.91/152.21 (step-pop @p1072 :rule scope :premises (@p1071)) % 151.91/152.21 (step-pop @p1073 :rule scope :premises (@p1072)) % 151.91/152.21 (step-pop @p1074 :rule scope :premises (@p1073)) % 151.91/152.21 (step @p631 :rule process_scope :premises (@p1074) :args (@t413)) % 151.91/152.21 (step @p641 :rule implies_elim :premises (@p631)) % 151.91/152.21 (step @p642 :rule resolution :premises (@p641 @p611) :args (true @t413)) % 151.91/152.21 (step @p643 :rule not_and :premises (@p642)) % 151.91/152.21 (step @p644 :rule eq_resolve :premises (@p643 @p575)) % 151.91/152.21 (step @p645 :rule reordering :premises (@p644) :args ((or @t376 @t410 @t409 @t407 @t408 @t406 @t404 @t399 @t398))) % 151.91/152.21 ; trust TRUST PREPROCESS_HO_ELIM % 151.91/152.21 (step @p646 :rule trust :premises () :args ((= (forall @t176 (or (not @t229) (not @t416) @t415)) (forall @t176 (or (not @t224) (not (_ @t223 @t414 @t167)) (_ @t223 @t222 @t167)))))) % 151.91/152.21 (step @p647 :rule refl :args (@t415)) % 151.91/152.21 (step @p648 :rule refl :args (@t170)) % 151.91/152.21 (step @p649 :rule cong :premises (@p648 @p647) :args ((= @t170 @t415))) % 151.91/152.21 (step @p650 :rule symm :premises (@p649)) % 151.91/152.21 (step @p651 :rule eq_resolve :premises (@p648 @p650)) % 151.91/152.21 (step @p652 :rule refl :args (@t416)) % 151.91/152.21 (step @p653 :rule refl :args (@t173)) % 151.91/152.21 (step @p654 :rule cong :premises (@p653 @p652) :args ((= @t173 @t416))) % 151.91/152.21 (step @p655 :rule symm :premises (@p654)) % 151.91/152.21 (step @p656 :rule eq_resolve :premises (@p653 @p655)) % 151.91/152.21 (step @p657 :rule cong :premises (@p656) :args (@t417)) % 151.91/152.21 (step @p658 :rule cong :premises (@p102) :args (@t418)) % 151.91/152.21 (step @p659 :rule nary_cong :premises (@p658 @p657 @p651) :args (@t419)) % 151.91/152.21 (step @p660 :rule cong :premises (@p659) :args ((forall @t176 @t419))) % 151.91/152.21 (step @p661 :rule aci_norm :args ((= (or (or @t418 @t417) @t170) @t419))) % 151.91/152.21 (step @p662 :rule bool-and-de-morgan :args (@t174 @t173 true)) % 151.91/152.21 (step @p663 :rule nary_cong :premises (@p662 @p648) :args ((or (not @t175) @t170))) % 151.91/152.21 (step @p664 :rule trans :premises (@p663 @p661)) % 151.91/152.21 (step @p665 :rule bool-impl-elim :args (@t175 @t170)) % 151.91/152.21 (step @p666 :rule trans :premises (@p665 @p664)) % 151.91/152.21 (step @p667 :rule cong :premises (@p666) :args (@t177)) % 151.91/152.21 (step @p668 :rule trans :premises (@p667 @p660)) % 151.91/152.21 (step @p669 :rule trans :premises (@p668 @p646)) % 151.91/152.21 (step @p670 :rule eq_resolve :premises (@p64 @p669)) % 151.91/152.21 (step @p671 :rule instantiate :premises (@p670) :args ((@list @t236 @t243 @t374))) % 151.91/152.21 (step @p672 :rule cnf_or_pos :args (@t422)) % 151.91/152.21 (step @p673 :rule reordering :premises (@p672) :args ((or @t376 @t410 @t421 (not @t422)))) % 151.91/152.21 (step @p674 :rule equiv_elim1 :premises (@p123)) % 151.91/152.21 (step @p675 :rule reordering :premises (@p674) :args ((or @t239 @t423))) % 151.91/152.21 ; trust TRUST PREPROCESS_HO_ELIM % 151.91/152.21 (step @p676 :rule trust :premises () :args ((= (forall @t180 (or @t229 @t424)) (forall @t180 (or @t224 (_ @t223 @t414 @t168)))))) % 151.91/152.21 (step @p677 :rule refl :args (@t424)) % 151.91/152.21 (step @p678 :rule refl :args (@t178)) % 151.91/152.21 (step @p679 :rule cong :premises (@p678 @p677) :args ((= @t178 @t424))) % 151.91/152.21 (step @p680 :rule symm :premises (@p679)) % 151.91/152.21 (step @p681 :rule eq_resolve :premises (@p678 @p680)) % 151.91/152.21 (step @p682 :rule nary_cong :premises (@p102 @p681) :args (@t179)) % 151.91/152.21 (step @p683 :rule cong :premises (@p682) :args (@t181)) % 151.91/152.21 (step @p684 :rule trans :premises (@p683 @p676)) % 151.91/152.21 (step @p685 :rule eq_resolve :premises (@p65 @p684)) % 151.91/152.21 (step @p686 :rule instantiate :premises (@p685) :args (@t247)) % 151.91/152.21 (step @p687 :rule cnf_or_pos :args (@t426)) % 151.91/152.21 (step @p688 :rule reordering :premises (@p687) :args ((or @t238 @t425 (not @t426)))) % 151.91/152.21 (step @p689 :rule refl :args (@t427)) % 151.91/152.21 (step @p690 :rule refl :args (@t428)) % 151.91/152.21 (step @p691 :rule bool-double-not-elim :args (@t420)) % 151.91/152.21 (step @p692 :rule refl :args (@t429)) % 151.91/152.21 (step @p693 :rule refl :args (@t432)) % 151.91/152.21 (step @p694 :rule bool-double-not-elim :args (@t239)) % 151.91/152.21 (step @p695 :rule bool-double-not-elim :args (@t380)) % 151.91/152.21 (step @p696 :rule bool-double-not-elim :args (@t215)) % 151.91/152.21 (step @p697 :rule nary_cong :premises (@p696 @p695 @p570 @p694 @p693 @p568 @p692 @p691 @p690 @p689) :args ((or @t435 (not @t434) @t407 @t433 @t432 @t404 @t429 (not @t421) @t428 @t427))) % 151.91/152.21 (assume-push @p1075 @t361) % 151.91/152.21 (assume-push @p1076 @t434) % 151.91/152.21 (assume-push @p1077 @t251) % 151.91/152.21 (assume-push @p1078 @t408) % 151.91/152.21 (assume-push @p1079 @t431) % 151.91/152.21 (assume-push @p1080 @t403) % 151.91/152.21 (assume-push @p1081 @t301) % 151.91/152.21 (assume-push @p1082 @t421) % 151.91/152.21 (assume-push @p1083 @t373) % 151.91/152.21 (assume-push @p1084 @t421) % 151.91/152.21 (assume-push @p1085 @t403) % 151.91/152.21 (assume-push @p1086 @t251) % 151.91/152.21 (assume-push @p1087 @t301) % 151.91/152.21 (assume-push @p1088 @t408) % 151.91/152.21 (assume-push @p1089 @t361) % 151.91/152.21 (assume-push @p1090 @t434) % 151.91/152.21 (assume-push @p1091 @t373) % 151.91/152.21 (assume-push @p1092 @t431) % 151.91/152.21 (step @p716 :rule false_intro :premises (@p1082)) % 151.91/152.21 (step @p717 :rule symm :premises (@p180)) % 151.91/152.21 (step @p718 :rule symm :premises (@p141)) % 151.91/152.21 (step @p597 :rule refl :args (@t253)) % 151.91/152.21 (step @p719 :rule cong :premises (@p597 @p718) :args (@t296)) % 151.91/152.21 (step @p720 :rule cong :premises (@p484 @p719) :args (@t297)) % 151.91/152.21 (step @p290 :rule instantiate :premises (@p285) :args (@t300)) % 151.91/152.21 (step @p721 :rule false_intro :premises (@p1078)) % 151.91/152.21 (step @p722 :rule symm :premises (@p721)) % 151.91/152.21 (step @p723 :rule trans :premises (@p80 @p722)) % 151.91/152.22 (step @p724 :rule cong :premises (@p476 @p723) :args (@t367)) % 151.91/152.22 (step @p725 :rule false_intro :premises (@p1076)) % 151.91/152.22 (step @p726 :rule trans :premises (@p725 @p475)) % 151.91/152.22 (step @p727 :rule cong :premises (@p476 @p726) :args (@t436)) % 151.91/152.22 (step @p728 :rule trans :premises (@p727 @p724)) % 151.91/152.22 (step @p729 :rule cong :premises (@p478 @p728) :args (@t437)) % 151.91/152.22 (step @p730 :rule cong :premises (@p480 @p729) :args ((_ @t270 @t269 @t437))) % 151.91/152.22 (step @p731 :rule symm :premises (@p727)) % 151.91/152.22 (step @p732 :rule cong :premises (@p478 @p731) :args (@t368)) % 151.91/152.22 (step @p733 :rule cong :premises (@p480 @p732) :args (@t369)) % 151.91/152.22 (step @p734 :rule trans :premises (@p733 @p730)) % 151.91/152.22 (step @p735 :rule cong :premises (@p734 @p468) :args (@t370)) % 151.91/152.22 (step @p736 :rule cong :premises (@p735 @p467) :args (@t371)) % 151.91/152.22 (step @p737 :rule cong :premises (@p484 @p736) :args (@t372)) % 151.91/152.22 (step @p738 :rule trans :premises (@p495 @p737 @p290 @p720)) % 151.91/152.22 (step @p601 :rule refl :args (@t259)) % 151.91/152.22 (step @p739 :rule cong :premises (@p601 @p738) :args (@t430)) % 151.91/152.22 (step @p740 :rule trans :premises (@p179 @p739 @p717)) % 151.91/152.22 (step @p741 :rule refl :args (@t375)) % 151.91/152.22 (step @p742 :rule cong :premises (@p741 @p740) :args (@t425)) % 151.91/152.22 (step @p743 :rule trans :premises (@p742 @p716)) % 151.91/152.22 (step @p744 :rule false_elim :premises (@p743)) % 151.91/152.22 (step-pop @p1093 :rule scope :premises (@p744)) % 151.91/152.22 (step-pop @p1094 :rule scope :premises (@p1093)) % 151.91/152.22 (step-pop @p1095 :rule scope :premises (@p1094)) % 151.91/152.22 (step-pop @p1096 :rule scope :premises (@p1095)) % 151.91/152.22 (step-pop @p1097 :rule scope :premises (@p1096)) % 151.91/152.22 (step-pop @p1098 :rule scope :premises (@p1097)) % 151.91/152.22 (step-pop @p1099 :rule scope :premises (@p1098)) % 151.91/152.22 (step-pop @p1100 :rule scope :premises (@p1099)) % 151.91/152.22 (step-pop @p1101 :rule scope :premises (@p1100)) % 151.91/152.22 (step @p745 :rule process_scope :premises (@p1101) :args (@t427)) % 151.91/152.22 (step @p755 :rule and_intro :premises (@p1082 @p180 @p141 @p295 @p1078 @p81 @p1076 @p495 @p179)) % 151.91/152.22 (step @p756 :rule modus_ponens :premises (@p755 @p745)) % 151.91/152.22 (step-pop @p1102 :rule scope :premises (@p756)) % 151.91/152.22 (step-pop @p1103 :rule scope :premises (@p1102)) % 151.91/152.22 (step-pop @p1104 :rule scope :premises (@p1103)) % 151.91/152.22 (step-pop @p1105 :rule scope :premises (@p1104)) % 151.91/152.22 (step-pop @p1106 :rule scope :premises (@p1105)) % 151.91/152.22 (step-pop @p1107 :rule scope :premises (@p1106)) % 151.91/152.22 (step-pop @p1108 :rule scope :premises (@p1107)) % 151.91/152.22 (step-pop @p1109 :rule scope :premises (@p1108)) % 151.91/152.22 (step-pop @p1110 :rule scope :premises (@p1109)) % 151.91/152.22 (step @p757 :rule process_scope :premises (@p1110) :args (@t427)) % 151.91/152.22 (step @p767 :rule implies_elim :premises (@p757)) % 151.91/152.22 (step @p768 :rule cnf_and_neg :args (@t438)) % 151.91/152.22 (step @p769 :rule resolution :premises (@p768 @p767) :args (true @t438)) % 151.91/152.22 (step @p770 :rule eq_resolve :premises (@p769 @p697)) % 151.91/152.22 (step @p771 :rule reordering :premises (@p770) :args ((or @t215 @t380 @t239 @t407 @t432 @t404 @t429 @t420 @t427 @t428))) % 151.91/152.22 (step @p772 :rule chain_m_resolution :premises (@p771 @p495 @p295 @p180 @p179 @p141 @p81 @p688 @p686 @p675 @p673 @p671 @p645 @p565 @p564 @p180 @p546 @p141 @p545 @p542 @p540 @p500 @p497) :args (@t376 (@list false false false false false true false false true true false true false false false false false false false true true true) (@list @t373 @t301 @t403 @t431 @t251 @t215 @t425 @t426 @t238 @t420 @t422 @t239 @t397 @t396 @t403 @t405 @t251 @t390 @t388 @t389 @t380 @t378))) % 151.91/152.22 (step @p773 :rule skolem_intro :args (@t439)) % 151.91/152.22 (step @p774 :rule symm :premises (@p773)) % 151.91/152.22 (step @p775 :rule equiv_elim1 :premises (@p774)) % 151.91/152.22 (step @p776 :rule cnf_and_neg :args (@t378)) % 151.91/152.22 (step @p777 :rule cnf_equiv_neg2 :args (@t389)) % 151.91/152.22 (step @p778 :rule skolem_intro :args (@t440)) % 151.91/152.22 (step @p779 :rule symm :premises (@p778)) % 151.91/152.22 (step @p780 :rule equiv_elim2 :premises (@p779)) % 151.91/152.22 (step @p781 :rule refl :args (@t441)) % 151.91/152.22 (step @p782 :rule bool-double-not-elim :args (@t388)) % 151.91/152.22 (step @p783 :rule refl :args (@t411)) % 151.91/152.22 (step @p784 :rule nary_cong :premises (@p783 @p782 @p572 @p781 @p571 @p570 @p569 @p568 @p692 @p567) :args ((or @t411 @t442 @t409 @t441 @t408 @t407 @t406 @t404 @t429 @t399))) % 151.91/152.22 (assume-push @p1111 @t376) % 151.91/152.22 (assume-push @p1112 @t405) % 151.91/152.22 (assume-push @p1113 @t396) % 151.91/152.22 (assume-push @p1114 @t390) % 151.91/152.22 (assume-push @p1115 @t439) % 151.91/152.22 (assume-push @p1116 @t239) % 151.91/152.22 (assume-push @p1117 @t301) % 151.91/152.22 (assume-push @p1118 @t251) % 151.91/152.22 (assume-push @p1119 @t403) % 151.91/152.22 (assume-push @p1120 @t410) % 151.91/152.22 (step @p795 :rule evaluate :args (@t443)) % 151.91/152.22 (step @p796 :rule true_intro :premises (@p1111)) % 151.91/152.22 (step @p587 :rule refl :args (@t374)) % 151.91/152.22 (step @p588 :rule symm :premises (@p546)) % 151.91/152.22 (step @p589 :rule symm :premises (@p564)) % 151.91/152.22 (step @p797 :rule true_intro :premises (@p1115)) % 151.91/152.22 (step @p798 :rule trans :premises (@p797 @p548)) % 151.91/152.22 (step @p799 :rule cong :premises (@p476 @p798) :args (@t444)) % 151.91/152.22 (step @p800 :rule cong :premises (@p478 @p799) :args (@t445)) % 151.91/152.22 (step @p801 :rule symm :premises (@p799)) % 151.91/152.22 (step @p802 :rule true_intro :premises (@p1116)) % 151.91/152.22 (step @p803 :rule trans :premises (@p802 @p548)) % 151.91/152.22 (step @p804 :rule cong :premises (@p476 @p803) :args (@t290)) % 151.91/152.22 (step @p805 :rule trans :premises (@p804 @p801)) % 151.91/152.22 (step @p806 :rule cong :premises (@p478 @p805) :args (@t291)) % 151.91/152.22 (step @p807 :rule trans :premises (@p806 @p800)) % 151.91/152.22 (step @p808 :rule cong :premises (@p480 @p807) :args (@t292)) % 151.91/152.22 (step @p809 :rule cong :premises (@p808 @p468) :args (@t293)) % 151.91/152.22 (step @p810 :rule cong :premises (@p809 @p467) :args (@t294)) % 151.91/152.22 (step @p811 :rule cong :premises (@p484 @p810) :args (@t295)) % 151.91/152.22 (step @p597 :rule refl :args (@t253)) % 151.91/152.22 (step @p812 :rule cong :premises (@p597 @p141) :args (@t400)) % 151.91/152.22 (step @p813 :rule cong :premises (@p484 @p812) :args (@t401)) % 151.91/152.22 (step @p814 :rule trans :premises (@p813 @p295 @p811 @p589)) % 151.91/152.22 (step @p601 :rule refl :args (@t259)) % 151.91/152.22 (step @p815 :rule cong :premises (@p601 @p814) :args (@t402)) % 151.91/152.22 (step @p816 :rule trans :premises (@p180 @p815 @p588)) % 151.91/152.22 (step @p604 :rule refl :args (@t220)) % 151.91/152.22 (step @p817 :rule cong :premises (@p604 @p816) :args (@t387)) % 151.91/152.22 (step @p818 :rule cong :premises (@p817 @p587) :args (@t388)) % 151.91/152.22 (step @p819 :rule false_intro :premises (@p1120)) % 151.91/152.22 (step @p820 :rule symm :premises (@p819)) % 151.91/152.22 (step @p821 :rule trans :premises (@p820 @p818 @p796)) % 151.91/152.22 (step @p822 false :rule eq_resolve :premises (@p821 @p795)) % 151.91/152.22 (step-pop @p1121 :rule scope :premises (@p822)) % 151.91/152.22 (step-pop @p1122 :rule scope :premises (@p1121)) % 151.91/152.22 (step-pop @p1123 :rule scope :premises (@p1122)) % 151.91/152.22 (step-pop @p1124 :rule scope :premises (@p1123)) % 151.91/152.22 (step-pop @p1125 :rule scope :premises (@p1124)) % 151.91/152.22 (step-pop @p1126 :rule scope :premises (@p1125)) % 151.91/152.22 (step-pop @p1127 :rule scope :premises (@p1126)) % 151.91/152.22 (step-pop @p1128 :rule scope :premises (@p1127)) % 151.91/152.22 (step-pop @p1129 :rule scope :premises (@p1128)) % 151.91/152.22 (step-pop @p1130 :rule scope :premises (@p1129)) % 151.91/152.22 (step @p823 :rule process_scope :premises (@p1130) :args (false)) % 151.91/152.22 (assume-push @p1131 @t376) % 151.91/152.22 (assume-push @p1132 @t410) % 151.91/152.22 (assume-push @p1133 @t390) % 151.91/152.22 (assume-push @p1134 @t439) % 151.91/152.22 (assume-push @p1135 @t239) % 151.91/152.22 (assume-push @p1136 @t251) % 151.91/152.22 (assume-push @p1137 @t405) % 151.91/152.22 (assume-push @p1138 @t403) % 151.91/152.22 (assume-push @p1139 @t301) % 151.91/152.22 (assume-push @p1140 @t396) % 151.91/152.22 (step @p844 :rule and_intro :premises (@p1131 @p546 @p564 @p545 @p1134 @p1135 @p295 @p141 @p180 @p1132)) % 151.91/152.22 (step-pop @p1141 :rule scope :premises (@p844)) % 151.91/152.22 (step-pop @p1142 :rule scope :premises (@p1141)) % 151.91/152.22 (step-pop @p1143 :rule scope :premises (@p1142)) % 151.91/152.22 (step-pop @p1144 :rule scope :premises (@p1143)) % 151.91/152.22 (step-pop @p1145 :rule scope :premises (@p1144)) % 151.91/152.22 (step-pop @p1146 :rule scope :premises (@p1145)) % 151.91/152.22 (step-pop @p1147 :rule scope :premises (@p1146)) % 151.91/152.22 (step-pop @p1148 :rule scope :premises (@p1147)) % 151.91/152.22 (step-pop @p1149 :rule scope :premises (@p1148)) % 151.91/152.22 (step-pop @p1150 :rule scope :premises (@p1149)) % 151.91/152.22 (step @p845 :rule process_scope :premises (@p1150) :args (@t446)) % 151.91/152.22 (step @p856 :rule implies_elim :premises (@p845)) % 151.91/152.22 (step @p857 :rule resolution :premises (@p856 @p823) :args (true @t446)) % 151.91/152.22 (step @p858 :rule not_and :premises (@p857)) % 151.91/152.22 (step @p859 :rule eq_resolve :premises (@p858 @p784)) % 151.91/152.22 (step @p860 :rule reordering :premises (@p859) :args ((or @t388 @t411 @t409 @t441 @t407 @t408 @t406 @t404 @t429 @t399))) % 151.91/152.22 (step @p861 :rule bool-double-not-elim :args (@t440)) % 151.91/152.22 (step @p862 :rule refl :args (@t447)) % 151.91/152.22 (step @p863 :rule nary_cong :premises (@p862 @p782 @p696 @p861 @p570 @p694 @p693 @p568 @p692 @p690) :args ((or @t447 @t442 @t435 (not @t448) @t407 @t433 @t432 @t404 @t429 @t428))) % 151.91/152.22 (assume-push @p1151 @t377) % 151.91/152.22 (assume-push @p1152 @t431) % 151.91/152.22 (assume-push @p1153 @t373) % 151.91/152.22 (assume-push @p1154 @t361) % 151.91/152.22 (assume-push @p1155 @t448) % 151.91/152.22 (assume-push @p1156 @t408) % 151.91/152.22 (assume-push @p1157 @t301) % 151.91/152.22 (assume-push @p1158 @t251) % 151.91/152.22 (assume-push @p1159 @t403) % 151.91/152.22 (assume-push @p1160 @t410) % 151.91/152.22 (step @p795 :rule evaluate :args (@t443)) % 151.91/152.22 (step @p874 :rule true_intro :premises (@p1151)) % 151.91/152.22 (step @p587 :rule refl :args (@t374)) % 151.91/152.22 (step @p875 :rule symm :premises (@p179)) % 151.91/152.22 (step @p876 :rule symm :premises (@p495)) % 151.91/152.22 (step @p877 :rule false_intro :premises (@p1155)) % 151.91/152.22 (step @p878 :rule trans :premises (@p877 @p475)) % 151.91/152.22 (step @p879 :rule cong :premises (@p476 @p878) :args (@t449)) % 151.91/152.22 (step @p880 :rule cong :premises (@p478 @p879) :args (@t450)) % 151.91/152.22 (step @p881 :rule cong :premises (@p480 @p880) :args ((_ @t270 @t269 @t450))) % 151.91/152.22 (step @p882 :rule symm :premises (@p879)) % 151.91/152.22 (step @p883 :rule false_intro :premises (@p1156)) % 151.91/152.22 (step @p884 :rule trans :premises (@p883 @p475)) % 151.91/152.22 (step @p885 :rule cong :premises (@p476 @p884) :args (@t290)) % 151.91/152.22 (step @p886 :rule trans :premises (@p885 @p882)) % 151.91/152.22 (step @p887 :rule cong :premises (@p478 @p886) :args (@t291)) % 151.91/152.22 (step @p888 :rule cong :premises (@p480 @p887) :args (@t292)) % 151.91/152.22 (step @p889 :rule trans :premises (@p888 @p881)) % 151.91/152.22 (step @p890 :rule cong :premises (@p889 @p468) :args (@t293)) % 151.91/152.22 (step @p891 :rule cong :premises (@p890 @p467) :args (@t294)) % 151.91/152.22 (step @p892 :rule cong :premises (@p484 @p891) :args (@t295)) % 151.91/152.22 (step @p597 :rule refl :args (@t253)) % 151.91/152.22 (step @p812 :rule cong :premises (@p597 @p141) :args (@t400)) % 151.91/152.22 (step @p813 :rule cong :premises (@p484 @p812) :args (@t401)) % 151.91/152.22 (step @p893 :rule trans :premises (@p813 @p295 @p892 @p876)) % 151.91/152.22 (step @p601 :rule refl :args (@t259)) % 151.91/152.22 (step @p894 :rule cong :premises (@p601 @p893) :args (@t402)) % 151.91/152.22 (step @p895 :rule trans :premises (@p180 @p894 @p875)) % 151.91/152.22 (step @p604 :rule refl :args (@t220)) % 151.91/152.22 (step @p896 :rule cong :premises (@p604 @p895) :args (@t387)) % 151.91/152.22 (step @p897 :rule cong :premises (@p896 @p587) :args (@t388)) % 151.91/152.22 (step @p898 :rule false_intro :premises (@p1160)) % 151.91/152.22 (step @p899 :rule symm :premises (@p898)) % 151.91/152.22 (step @p900 :rule trans :premises (@p899 @p897 @p874)) % 151.91/152.22 (step @p901 false :rule eq_resolve :premises (@p900 @p795)) % 151.91/152.22 (step-pop @p1161 :rule scope :premises (@p901)) % 151.91/152.22 (step-pop @p1162 :rule scope :premises (@p1161)) % 151.91/152.22 (step-pop @p1163 :rule scope :premises (@p1162)) % 151.91/152.22 (step-pop @p1164 :rule scope :premises (@p1163)) % 151.91/152.22 (step-pop @p1165 :rule scope :premises (@p1164)) % 151.91/152.22 (step-pop @p1166 :rule scope :premises (@p1165)) % 151.91/152.22 (step-pop @p1167 :rule scope :premises (@p1166)) % 151.91/152.22 (step-pop @p1168 :rule scope :premises (@p1167)) % 151.91/152.22 (step-pop @p1169 :rule scope :premises (@p1168)) % 151.91/152.22 (step-pop @p1170 :rule scope :premises (@p1169)) % 151.91/152.22 (step @p902 :rule process_scope :premises (@p1170) :args (false)) % 151.91/152.22 (assume-push @p1171 @t377) % 151.91/152.22 (assume-push @p1172 @t410) % 151.91/152.22 (assume-push @p1173 @t361) % 151.91/152.22 (assume-push @p1174 @t448) % 151.91/152.22 (assume-push @p1175 @t251) % 151.91/152.22 (assume-push @p1176 @t408) % 151.91/152.22 (assume-push @p1177 @t431) % 151.91/152.22 (assume-push @p1178 @t403) % 151.91/152.22 (assume-push @p1179 @t301) % 151.91/152.22 (assume-push @p1180 @t373) % 151.91/152.22 (step @p923 :rule and_intro :premises (@p1171 @p179 @p495 @p81 @p1174 @p1176 @p295 @p141 @p180 @p1172)) % 151.91/152.22 (step-pop @p1181 :rule scope :premises (@p923)) % 151.91/152.22 (step-pop @p1182 :rule scope :premises (@p1181)) % 151.91/152.22 (step-pop @p1183 :rule scope :premises (@p1182)) % 151.91/152.22 (step-pop @p1184 :rule scope :premises (@p1183)) % 151.91/152.22 (step-pop @p1185 :rule scope :premises (@p1184)) % 151.91/152.22 (step-pop @p1186 :rule scope :premises (@p1185)) % 151.91/152.22 (step-pop @p1187 :rule scope :premises (@p1186)) % 151.91/152.22 (step-pop @p1188 :rule scope :premises (@p1187)) % 151.91/152.22 (step-pop @p1189 :rule scope :premises (@p1188)) % 151.91/152.22 (step-pop @p1190 :rule scope :premises (@p1189)) % 151.91/152.22 (step @p924 :rule process_scope :premises (@p1190) :args (@t451)) % 151.91/152.22 (step @p935 :rule implies_elim :premises (@p924)) % 151.91/152.22 (step @p936 :rule resolution :premises (@p935 @p902) :args (true @t451)) % 151.91/152.22 (step @p937 :rule not_and :premises (@p936)) % 151.91/152.22 (step @p938 :rule eq_resolve :premises (@p937 @p863)) % 151.91/152.22 (step @p939 :rule reordering :premises (@p938) :args ((or @t388 @t447 @t215 @t440 @t239 @t407 @t432 @t404 @t429 @t428))) % 151.91/152.22 (step @p940 :rule chain_m_resolution :premises (@p939 @p495 @p295 @p180 @p179 @p141 @p81 @p860 @p564 @p295 @p180 @p546 @p141 @p545 @p780 @p777 @p540 @p776 @p775) :args ((or @t447 @t411) (@list false false false false false true true false false false false false false true true true false false) (@list @t373 @t301 @t403 @t431 @t251 @t215 @t239 @t396 @t301 @t403 @t405 @t251 @t390 @t440 @t388 @t389 @t378 @t439))) % 151.91/152.22 (step @p941 :rule chain_m_resolution :premises (@p940 @p772) :args (@t447 @t252 (@list @t376))) % 151.91/152.22 (step @p942 :rule equiv_elim2 :premises (@p774)) % 151.91/152.22 (step @p943 :rule chain_m_resolution :premises (@p942 @p941) :args (@t441 @t452 @t453)) % 151.91/152.22 (step @p944 :rule cnf_and_pos :args (@t378 0)) % 151.91/152.22 (step @p945 :rule reordering :premises (@p944) :args ((or @t377 @t379))) % 151.91/152.22 (step @p946 :rule chain_m_resolution :premises (@p945 @p941) :args (@t379 @t452 @t453)) % 151.91/152.22 (step @p947 :rule chain_m_resolution :premises (@p542 @p946 @p540) :args (@t388 (@list true true) (@list @t378 @t389))) % 151.91/152.22 (step @p948 :rule instantiate :premises (@p670) :args ((@list @t235 @t236 @t374))) % 151.91/152.22 (step @p949 :rule cnf_or_pos :args (@t454)) % 151.91/152.22 (step @p950 :rule reordering :premises (@p949) :args ((or @t377 @t411 @t423 (not @t454)))) % 151.91/152.22 (step @p951 :rule chain_m_resolution :premises (@p950 @p941 @p772 @p948) :args (@t423 (@list true false false) (@list @t377 @t376 @t454))) % 151.91/152.22 (step @p952 :rule equiv_elim2 :premises (@p123)) % 151.91/152.22 (step @p953 :rule chain_m_resolution :premises (@p952 @p951) :args (@t408 @t452 (@list @t238))) % 151.91/152.22 (step @p954 :rule bool-double-not-elim :args (@t439)) % 151.91/152.22 (step @p955 :rule bool-double-not-elim :args (@t377)) % 151.91/152.22 (step @p956 :rule nary_cong :premises (@p574 @p955 @p696 @p954 @p570 @p694 @p693 @p568 @p692 @p690) :args ((or @t410 (not @t447) @t435 (not @t441) @t407 @t433 @t432 @t404 @t429 @t428))) % 151.91/152.22 (assume-push @p1191 @t447) % 151.91/152.22 (assume-push @p1192 @t431) % 151.91/152.22 (assume-push @p1193 @t373) % 151.91/152.22 (assume-push @p1194 @t361) % 151.91/152.22 (assume-push @p1195 @t441) % 151.91/152.22 (assume-push @p1196 @t408) % 151.91/152.22 (assume-push @p1197 @t301) % 151.91/152.22 (assume-push @p1198 @t251) % 151.91/152.22 (assume-push @p1199 @t403) % 151.91/152.22 (assume-push @p1200 @t388) % 151.91/152.22 (step @p585 :rule evaluate :args (@t412)) % 151.91/152.22 (step @p967 :rule false_intro :premises (@p1191)) % 151.91/152.22 (step @p587 :rule refl :args (@t374)) % 151.91/152.22 (step @p875 :rule symm :premises (@p179)) % 151.91/152.22 (step @p876 :rule symm :premises (@p495)) % 151.91/152.22 (step @p968 :rule false_intro :premises (@p1195)) % 151.91/152.22 (step @p969 :rule trans :premises (@p968 @p475)) % 151.91/152.22 (step @p970 :rule cong :premises (@p476 @p969) :args (@t444)) % 151.91/152.22 (step @p971 :rule cong :premises (@p478 @p970) :args (@t445)) % 151.91/152.22 (step @p972 :rule symm :premises (@p970)) % 151.91/152.22 (step @p973 :rule false_intro :premises (@p1196)) % 151.91/152.22 (step @p974 :rule trans :premises (@p973 @p475)) % 151.91/152.22 (step @p975 :rule cong :premises (@p476 @p974) :args (@t290)) % 151.91/152.22 (step @p976 :rule trans :premises (@p975 @p972)) % 151.91/152.22 (step @p977 :rule cong :premises (@p478 @p976) :args (@t291)) % 151.91/152.22 (step @p978 :rule trans :premises (@p977 @p971)) % 151.91/152.22 (step @p979 :rule cong :premises (@p480 @p978) :args (@t292)) % 151.91/152.22 (step @p980 :rule cong :premises (@p979 @p468) :args (@t293)) % 151.91/152.22 (step @p981 :rule cong :premises (@p980 @p467) :args (@t294)) % 151.91/152.22 (step @p982 :rule cong :premises (@p484 @p981) :args (@t295)) % 151.91/152.22 (step @p597 :rule refl :args (@t253)) % 151.91/152.22 (step @p812 :rule cong :premises (@p597 @p141) :args (@t400)) % 151.91/152.22 (step @p813 :rule cong :premises (@p484 @p812) :args (@t401)) % 151.91/152.22 (step @p983 :rule trans :premises (@p813 @p295 @p982 @p876)) % 151.91/152.22 (step @p601 :rule refl :args (@t259)) % 151.91/152.22 (step @p984 :rule cong :premises (@p601 @p983) :args (@t402)) % 151.91/152.22 (step @p985 :rule trans :premises (@p180 @p984 @p875)) % 151.91/152.22 (step @p604 :rule refl :args (@t220)) % 151.91/152.22 (step @p986 :rule cong :premises (@p604 @p985) :args (@t387)) % 151.91/152.22 (step @p987 :rule cong :premises (@p986 @p587) :args (@t388)) % 151.91/152.22 (step @p988 :rule true_intro :premises (@p1200)) % 151.91/152.22 (step @p989 :rule symm :premises (@p988)) % 151.91/152.22 (step @p990 :rule trans :premises (@p989 @p987 @p967)) % 151.91/152.22 (step @p991 false :rule eq_resolve :premises (@p990 @p585)) % 151.91/152.22 (step-pop @p1201 :rule scope :premises (@p991)) % 151.91/152.22 (step-pop @p1202 :rule scope :premises (@p1201)) % 151.91/152.22 (step-pop @p1203 :rule scope :premises (@p1202)) % 151.91/152.22 (step-pop @p1204 :rule scope :premises (@p1203)) % 151.91/152.22 (step-pop @p1205 :rule scope :premises (@p1204)) % 151.91/152.22 (step-pop @p1206 :rule scope :premises (@p1205)) % 151.91/152.22 (step-pop @p1207 :rule scope :premises (@p1206)) % 151.91/152.22 (step-pop @p1208 :rule scope :premises (@p1207)) % 151.91/152.22 (step-pop @p1209 :rule scope :premises (@p1208)) % 151.91/152.22 (step-pop @p1210 :rule scope :premises (@p1209)) % 151.91/152.22 (step @p992 :rule process_scope :premises (@p1210) :args (false)) % 151.91/152.22 (assume-push @p1211 @t388) % 151.91/152.22 (assume-push @p1212 @t447) % 151.91/152.22 (assume-push @p1213 @t361) % 151.91/152.22 (assume-push @p1214 @t441) % 151.91/152.22 (assume-push @p1215 @t251) % 151.91/152.22 (assume-push @p1216 @t408) % 151.91/152.22 (assume-push @p1217 @t431) % 151.91/152.22 (assume-push @p1218 @t403) % 151.91/152.22 (assume-push @p1219 @t301) % 151.91/152.22 (assume-push @p1220 @t373) % 151.91/152.22 (step @p1013 :rule and_intro :premises (@p1212 @p179 @p495 @p81 @p1214 @p1216 @p295 @p141 @p180 @p1211)) % 151.91/152.22 (step-pop @p1221 :rule scope :premises (@p1013)) % 151.91/152.22 (step-pop @p1222 :rule scope :premises (@p1221)) % 151.91/152.22 (step-pop @p1223 :rule scope :premises (@p1222)) % 151.91/152.22 (step-pop @p1224 :rule scope :premises (@p1223)) % 151.91/152.22 (step-pop @p1225 :rule scope :premises (@p1224)) % 151.91/152.22 (step-pop @p1226 :rule scope :premises (@p1225)) % 151.91/152.22 (step-pop @p1227 :rule scope :premises (@p1226)) % 151.91/152.22 (step-pop @p1228 :rule scope :premises (@p1227)) % 151.91/152.22 (step-pop @p1229 :rule scope :premises (@p1228)) % 151.91/152.22 (step-pop @p1230 :rule scope :premises (@p1229)) % 151.91/152.22 (step @p1014 :rule process_scope :premises (@p1230) :args (@t455)) % 151.91/152.22 (step @p1025 :rule implies_elim :premises (@p1014)) % 151.91/152.22 (step @p1026 :rule resolution :premises (@p1025 @p992) :args (true @t455)) % 151.91/152.22 (step @p1027 :rule not_and :premises (@p1026)) % 151.91/152.22 (step @p1028 :rule eq_resolve :premises (@p1027 @p956)) % 151.91/152.22 (step @p1029 :rule reordering :premises (@p1028) :args ((or @t377 @t410 @t215 @t439 @t239 @t407 @t432 @t404 @t429 @t428))) % 151.91/152.22 (step @p1030 false :rule chain_m_resolution :premises (@p1029 @p953 @p947 @p943 @p941 @p495 @p295 @p180 @p179 @p141 @p81) :args (false (@list true false true true false false false false false true) (@list @t239 @t388 @t439 @t377 @t373 @t301 @t403 @t431 @t251 @t215))) % 151.91/152.22 ) % 151.91/152.22 % SZS output end Proof % 151.91/152.22 % cvc5 exiting %------------------------------------------------------------------------------