%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP013+1 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n027.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 08:24:35 AM UTC 2026 % Result : Theorem 0.36s 0.65s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP013+1 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n027.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 03:49:51 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.65 % SZS status Theorem % 0.36/0.65 % SZS output start Proof % 0.36/0.65 ( % 0.36/0.65 (declare-sort $$unsorted 0) % 0.36/0.65 (declare-const tptp.c_2Ewords_2Eword__add_2E0 $$unsorted) % 0.36/0.65 (declare-const tptp.c_2Earithmetic_2E_3C_3D_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_2Ewords_2Eword__2comp_2E1 (-> $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_2Earithmetic_2E_2B_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_2Earithmetic_2E_2B_2E0 $$unsorted) % 0.36/0.65 (declare-const tptp.c_2Ewords_2En2w_2E1 (-> $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.combin_s_2E0 $$unsorted) % 0.36/0.65 (declare-const tptp.combin_k_2E0 $$unsorted) % 0.36/0.65 (declare-const tptp.c_2Ebool_2ECOND_2E3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.tyop_2Enum_2Enum $$unsorted) % 0.36/0.65 (declare-const tptp.c_2Ewords_2Eword__sub_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.combin_i_2E0 $$unsorted) % 0.36/0.65 (declare-const tptp.p (-> $$unsorted Bool)) % 0.36/0.65 (declare-const tptp.tyop_2Emin_2Ebool $$unsorted) % 0.36/0.65 (declare-const tptp.c_2Ewords_2Eword__sub_2E0 $$unsorted) % 0.36/0.65 (declare-const tptp.c_2Ebool_2E_7E_2E1 (-> $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_2Emin_2E_3D_3D_3E_2E0 $$unsorted) % 0.36/0.65 (declare-const tptp.tyop_2Efcp_2Ecart (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_2Ebool_2EF_2E0 $$unsorted) % 0.36/0.65 (declare-const tptp.s (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_2Ebool_2ET_2E0 $$unsorted) % 0.36/0.65 (declare-const tptp.c_2Ebool_2E_2F_5C_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_2Ebool_2ECOND_2E0 $$unsorted) % 0.36/0.65 (declare-const tptp.c_2Earithmetic_2E_2D_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.tyop_2Emin_2Efun (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_2Ewords_2Eword__add_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_2Earithmetic_2E_2D_2E0 $$unsorted) % 0.36/0.65 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.app_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_2Ebool_2E_2F_5C_2E0 $$unsorted) % 0.36/0.65 (declare-const tptp.c_2Ebool_2E_7E_2E0 $$unsorted) % 0.36/0.65 (declare-const tptp.c_2Emin_2E_3D_3D_3E_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_2Ebool_2E_5C_2F_2E0 $$unsorted) % 0.36/0.65 (declare-const tptp.c_2Emin_2E_3D_2E0 $$unsorted) % 0.36/0.65 (declare-const tptp.c_2Ewords_2Eword__2comp_2E0 $$unsorted) % 0.36/0.65 (declare-const tptp.c_2Ebool_2E_5C_2F_2E2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.65 (declare-const tptp.c_2Ebool_2E_21_2E0 $$unsorted) % 0.36/0.65 (declare-const tptp.c_2Earithmetic_2E_3C_3D_2E0 $$unsorted) % 0.36/0.65 (declare-const tptp.c_2Ebool_2E_3F_2E0 $$unsorted) % 0.36/0.65 (declare-const tptp.c_2Ewords_2En2w_2E0 $$unsorted) % 0.36/0.65 (define @t1 () (@var "V1g_2E0" $$unsorted)) % 0.36/0.65 (define @t2 () (@var "A_27b" $$unsorted)) % 0.36/0.65 (define @t3 () (@var "A_27a" $$unsorted)) % 0.36/0.65 (define @t4 () (tptp.tyop_2Emin_2Efun @t3 @t2)) % 0.36/0.65 (define @t5 () (tptp.s @t4 @t1)) % 0.36/0.65 (define @t6 () (@var "V0f_2E0" $$unsorted)) % 0.36/0.65 (define @t7 () (tptp.s @t4 @t6)) % 0.36/0.65 (define @t8 () (@var "V2x_2E0" $$unsorted)) % 0.36/0.65 (define @t9 () (tptp.s @t3 @t8)) % 0.36/0.65 (define @t10 () (tptp.s @t2 (tptp.app_2E2 @t5 @t9))) % 0.36/0.65 (define @t11 () (@var "V1_2E0" $$unsorted)) % 0.36/0.65 (define @t12 () (tptp.s tptp.tyop_2Emin_2Ebool @t11)) % 0.36/0.65 (define @t13 () (@var "V0_2E0" $$unsorted)) % 0.36/0.65 (define @t14 () (tptp.s tptp.tyop_2Emin_2Ebool @t13)) % 0.36/0.65 (define @t15 () (tptp.p @t12)) % 0.36/0.65 (define @t16 () (tptp.p @t14)) % 0.36/0.65 (define @t17 () (= @t16 @t15)) % 0.36/0.65 (define @t18 () (=> @t17 (= @t14 @t12))) % 0.36/0.65 (define @t19 () (@list @t13 @t11)) % 0.36/0.65 (define @t20 () (forall @t19 @t18)) % 0.36/0.65 (define @t21 () (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2ET_2E0)) % 0.36/0.65 (define @t22 () (tptp.p @t21)) % 0.36/0.65 (define @t23 () (tptp.s tptp.tyop_2Emin_2Ebool tptp.c_2Ebool_2EF_2E0)) % 0.36/0.65 (define @t24 () (tptp.p @t23)) % 0.36/0.65 (define @t25 () (not @t24)) % 0.36/0.65 (define @t26 () (@var "V0t_2E0" $$unsorted)) % 0.36/0.65 (define @t27 () (tptp.s tptp.tyop_2Emin_2Ebool @t26)) % 0.36/0.65 (define @t28 () (= @t27 @t23)) % 0.36/0.65 (define @t29 () (= @t27 @t21)) % 0.36/0.65 (define @t30 () (@list @t26)) % 0.36/0.65 (define @t31 () (@var "V0x_2E0" $$unsorted)) % 0.36/0.65 (define @t32 () (tptp.s @t3 @t31)) % 0.36/0.65 (define @t33 () (tptp.tyop_2Emin_2Efun @t3 @t3)) % 0.36/0.65 (define @t34 () (@list @t3 @t31)) % 0.36/0.65 (define @t35 () (@var "V1y_2E0" $$unsorted)) % 0.36/0.65 (define @t36 () (tptp.tyop_2Emin_2Efun @t2 @t3)) % 0.36/0.65 (define @t37 () (@var "A_27c" $$unsorted)) % 0.36/0.65 (define @t38 () (tptp.tyop_2Emin_2Efun @t2 @t37)) % 0.36/0.65 (define @t39 () (tptp.tyop_2Emin_2Efun @t3 @t38)) % 0.36/0.65 (define @t40 () (tptp.s @t39 @t6)) % 0.36/0.65 (define @t41 () (tptp.tyop_2Emin_2Efun @t3 @t37)) % 0.36/0.65 (define @t42 () (tptp.tyop_2Emin_2Efun @t4 @t41)) % 0.36/0.65 (define @t43 () (not @t16)) % 0.36/0.65 (define @t44 () (tptp.s @t3 @t11)) % 0.36/0.65 (define @t45 () (tptp.s @t3 @t13)) % 0.36/0.65 (define @t46 () (@var "V1x_2E0" $$unsorted)) % 0.36/0.65 (define @t47 () (tptp.tyop_2Emin_2Efun @t3 tptp.tyop_2Emin_2Ebool)) % 0.36/0.65 (define @t48 () (tptp.s @t47 @t6)) % 0.36/0.65 (define @t49 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t48 (tptp.s @t3 @t46))))) % 0.36/0.65 (define @t50 () (@list @t46)) % 0.36/0.65 (define @t51 () (@list @t3 @t6)) % 0.36/0.65 (define @t52 () (@var "X1_2E0" $$unsorted)) % 0.36/0.65 (define @t53 () (tptp.s tptp.tyop_2Emin_2Ebool @t52)) % 0.36/0.65 (define @t54 () (@var "X0_2E0" $$unsorted)) % 0.36/0.65 (define @t55 () (tptp.s tptp.tyop_2Emin_2Ebool @t54)) % 0.36/0.65 (define @t56 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool)) % 0.36/0.65 (define @t57 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t56)) % 0.36/0.65 (define @t58 () (tptp.p @t53)) % 0.36/0.65 (define @t59 () (tptp.p @t55)) % 0.36/0.65 (define @t60 () (@list @t54 @t52)) % 0.36/0.65 (define @t61 () (tptp.s @t3 @t52)) % 0.36/0.65 (define @t62 () (tptp.s @t3 @t54)) % 0.36/0.65 (define @t63 () (@list @t3 @t54 @t52)) % 0.36/0.65 (define @t64 () (tptp.s @t47 @t54)) % 0.36/0.65 (define @t65 () (tptp.tyop_2Emin_2Efun @t47 tptp.tyop_2Emin_2Ebool)) % 0.36/0.65 (define @t66 () (@list @t3 @t54)) % 0.36/0.65 (define @t67 () (tptp.s tptp.tyop_2Enum_2Enum @t52)) % 0.36/0.65 (define @t68 () (tptp.s tptp.tyop_2Enum_2Enum @t54)) % 0.36/0.65 (define @t69 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum tptp.tyop_2Enum_2Enum)) % 0.36/0.65 (define @t70 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum @t69)) % 0.36/0.65 (define @t71 () (tptp.tyop_2Efcp_2Ecart tptp.tyop_2Emin_2Ebool @t3)) % 0.36/0.65 (define @t72 () (tptp.c_2Ewords_2En2w_2E1 @t68)) % 0.36/0.65 (define @t73 () (tptp.s @t71 @t54)) % 0.36/0.65 (define @t74 () (tptp.tyop_2Emin_2Efun @t71 @t71)) % 0.36/0.65 (define @t75 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum tptp.tyop_2Emin_2Ebool)) % 0.36/0.65 (define @t76 () (tptp.s @t71 @t52)) % 0.36/0.65 (define @t77 () (tptp.tyop_2Emin_2Efun @t71 @t74)) % 0.36/0.65 (define @t78 () (tptp.tyop_2Efcp_2Ecart tptp.tyop_2Emin_2Ebool @t2)) % 0.36/0.65 (define @t79 () (@list @t2 @t54)) % 0.36/0.65 (define @t80 () (tptp.s @t78 @t54)) % 0.36/0.65 (define @t81 () (tptp.tyop_2Emin_2Efun @t78 @t78)) % 0.36/0.65 (define @t82 () (tptp.s @t78 @t52)) % 0.36/0.65 (define @t83 () (tptp.tyop_2Emin_2Efun @t78 @t81)) % 0.36/0.65 (define @t84 () (@var "X2_2E0" $$unsorted)) % 0.36/0.65 (define @t85 () (tptp.s @t3 @t84)) % 0.36/0.65 (define @t86 () (tptp.tyop_2Emin_2Efun @t3 @t33)) % 0.36/0.65 (define @t87 () (tptp.s @t78 @t84)) % 0.36/0.65 (define @t88 () (tptp.p @t27)) % 0.36/0.65 (define @t89 () (not @t88)) % 0.36/0.65 (define @t90 () (= (=> @t88 @t24) @t89)) % 0.36/0.65 (define @t91 () (=> @t88 @t88)) % 0.36/0.65 (define @t92 () (=> @t24 @t88)) % 0.36/0.65 (define @t93 () (=> @t88 @t22)) % 0.36/0.65 (define @t94 () (=> @t22 @t88)) % 0.36/0.65 (define @t95 () (and (= @t94 @t88) (= @t93 @t22) (= @t92 @t22) (= @t91 @t22) @t90)) % 0.36/0.65 (define @t96 () (forall @t30 @t95)) % 0.36/0.65 (define @t97 () (tptp.s @t3 @t35)) % 0.36/0.65 (define @t98 () (@var "V2t3_2E0" $$unsorted)) % 0.36/0.65 (define @t99 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t98))) % 0.36/0.65 (define @t100 () (@var "V1t2_2E0" $$unsorted)) % 0.36/0.65 (define @t101 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t100))) % 0.36/0.65 (define @t102 () (@var "V0t1_2E0" $$unsorted)) % 0.36/0.65 (define @t103 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool @t102))) % 0.36/0.65 (define @t104 () (@var "V3y_27_2E0" $$unsorted)) % 0.36/0.65 (define @t105 () (tptp.s tptp.tyop_2Emin_2Ebool @t104)) % 0.36/0.65 (define @t106 () (@var "V1x_27_2E0" $$unsorted)) % 0.36/0.65 (define @t107 () (tptp.s tptp.tyop_2Emin_2Ebool @t106)) % 0.36/0.65 (define @t108 () (tptp.p @t107)) % 0.36/0.65 (define @t109 () (@var "V2y_2E0" $$unsorted)) % 0.36/0.65 (define @t110 () (tptp.s tptp.tyop_2Emin_2Ebool @t109)) % 0.36/0.65 (define @t111 () (tptp.s tptp.tyop_2Emin_2Ebool @t31)) % 0.36/0.65 (define @t112 () (@var "V5y_27_2E0" $$unsorted)) % 0.36/0.65 (define @t113 () (tptp.s @t3 @t112)) % 0.36/0.65 (define @t114 () (@var "V3x_27_2E0" $$unsorted)) % 0.36/0.65 (define @t115 () (tptp.s @t3 @t114)) % 0.36/0.65 (define @t116 () (@var "V1Q_2E0" $$unsorted)) % 0.36/0.65 (define @t117 () (tptp.s tptp.tyop_2Emin_2Ebool @t116)) % 0.36/0.65 (define @t118 () (@var "V4y_2E0" $$unsorted)) % 0.36/0.65 (define @t119 () (tptp.s @t3 @t118)) % 0.36/0.65 (define @t120 () (@var "V0P_2E0" $$unsorted)) % 0.36/0.65 (define @t121 () (tptp.s tptp.tyop_2Emin_2Ebool @t120)) % 0.36/0.65 (define @t122 () (tptp.p @t117)) % 0.36/0.65 (define @t123 () (@var "V3t2_2E0" $$unsorted)) % 0.36/0.65 (define @t124 () (tptp.s @t3 @t123)) % 0.36/0.65 (define @t125 () (@var "V2t1_2E0" $$unsorted)) % 0.36/0.65 (define @t126 () (tptp.s @t3 (tptp.c_2Ebool_2ECOND_2E3 @t23 (tptp.s @t3 @t125) @t124))) % 0.36/0.65 (define @t127 () (@list @t125 @t123)) % 0.36/0.65 (define @t128 () (forall @t127 (= @t126 @t124))) % 0.36/0.65 (define @t129 () (tptp.s @t3 @t102)) % 0.36/0.65 (define @t130 () (tptp.s @t3 (tptp.c_2Ebool_2ECOND_2E3 @t21 @t129 (tptp.s @t3 @t100)))) % 0.36/0.65 (define @t131 () (@list @t102 @t100)) % 0.36/0.65 (define @t132 () (forall @t131 (= @t130 @t129))) % 0.36/0.65 (define @t133 () (and @t132 @t128)) % 0.36/0.65 (define @t134 () (@list @t3)) % 0.36/0.65 (define @t135 () (forall @t134 @t133)) % 0.36/0.65 (define @t136 () (@var "V1w_2E0" $$unsorted)) % 0.36/0.65 (define @t137 () (tptp.s @t71 @t136)) % 0.36/0.65 (define @t138 () (@var "V0v_2E0" $$unsorted)) % 0.36/0.65 (define @t139 () (tptp.s @t71 @t138)) % 0.36/0.65 (define @t140 () (@var "V2m_2E0" $$unsorted)) % 0.36/0.65 (define @t141 () (tptp.s tptp.tyop_2Enum_2Enum @t140)) % 0.36/0.65 (define @t142 () (@var "V3n_2E0" $$unsorted)) % 0.36/0.65 (define @t143 () (tptp.s tptp.tyop_2Enum_2Enum @t142)) % 0.36/0.65 (define @t144 () (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.c_2Earithmetic_2E_2D_2E2 @t143 @t141)))) % 0.36/0.65 (define @t145 () (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.c_2Earithmetic_2E_2D_2E2 @t141 @t143)))) % 0.36/0.65 (define @t146 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Earithmetic_2E_3C_3D_2E2 @t143 @t141))) % 0.36/0.65 (define @t147 () (tptp.c_2Ewords_2En2w_2E1 @t143)) % 0.36/0.65 (define @t148 () (tptp.c_2Ewords_2En2w_2E1 @t141)) % 0.36/0.65 (define @t149 () (@list @t140 @t142)) % 0.36/0.65 (define @t150 () (forall @t149 (= (tptp.s @t78 (tptp.c_2Ewords_2Eword__add_2E2 (tptp.s @t78 @t148) (tptp.s @t78 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t78 @t147))))) (tptp.s @t78 (tptp.c_2Ebool_2ECOND_2E3 @t146 (tptp.s @t78 @t145) (tptp.s @t78 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t78 @t144)))))))) % 0.36/0.65 (define @t151 () (@var "V1n_2E0" $$unsorted)) % 0.36/0.65 (define @t152 () (tptp.s tptp.tyop_2Enum_2Enum @t151)) % 0.36/0.65 (define @t153 () (@var "V0m_2E0" $$unsorted)) % 0.36/0.65 (define @t154 () (tptp.s tptp.tyop_2Enum_2Enum @t153)) % 0.36/0.65 (define @t155 () (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.c_2Earithmetic_2E_2B_2E2 @t154 @t152)))) % 0.36/0.65 (define @t156 () (tptp.c_2Ewords_2En2w_2E1 @t152)) % 0.36/0.65 (define @t157 () (tptp.c_2Ewords_2En2w_2E1 @t154)) % 0.36/0.65 (define @t158 () (@list @t153 @t151)) % 0.36/0.65 (define @t159 () (forall @t158 (= (tptp.s @t71 (tptp.c_2Ewords_2Eword__add_2E2 (tptp.s @t71 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t71 @t157))) (tptp.s @t71 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t71 @t156))))) (tptp.s @t71 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t71 @t155)))))) % 0.36/0.65 (define @t160 () (@list @t3 @t2)) % 0.36/0.65 (define @t161 () (forall @t160 (and @t159 @t150))) % 0.36/0.65 (define @t162 () (@var "V1b_2E0" $$unsorted)) % 0.36/0.65 (define @t163 () (tptp.s tptp.tyop_2Enum_2Enum @t162)) % 0.36/0.65 (define @t164 () (@var "V0a_2E0" $$unsorted)) % 0.36/0.65 (define @t165 () (tptp.s tptp.tyop_2Enum_2Enum @t164)) % 0.36/0.65 (define @t166 () (= (tptp.s @t71 (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.c_2Earithmetic_2E_2D_2E2 @t165 @t163)))) (tptp.s @t71 (tptp.c_2Ewords_2Eword__sub_2E2 (tptp.s @t71 (tptp.c_2Ewords_2En2w_2E1 @t165)) (tptp.s @t71 (tptp.c_2Ewords_2En2w_2E1 @t163)))))) % 0.36/0.65 (define @t167 () (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Earithmetic_2E_3C_3D_2E2 @t163 @t165)))) % 0.36/0.65 (define @t168 () (@list @t3 @t164 @t162)) % 0.36/0.65 (define @t169 () (forall @t168 (=> @t167 @t166))) % 0.36/0.65 (define @t170 () (not @t169)) % 0.36/0.65 (define @t171 () (@var "BOUND_VARIABLE_8206" $$unsorted)) % 0.36/0.65 (define @t172 () (tptp.s @t171 @t123)) % 0.36/0.65 (define @t173 () (= @t172 (tptp.s @t171 (tptp.c_2Ebool_2ECOND_2E3 @t23 (tptp.s @t171 @t125) @t172)))) % 0.36/0.65 (define @t174 () (forall (@list @t171) (forall @t127 @t173))) % 0.36/0.65 (define @t175 () (@var "BOUND_VARIABLE_8196" $$unsorted)) % 0.36/0.65 (define @t176 () (tptp.s @t175 @t102)) % 0.36/0.65 (define @t177 () (= @t176 (tptp.s @t175 (tptp.c_2Ebool_2ECOND_2E3 @t21 @t176 (tptp.s @t175 @t100))))) % 0.36/0.65 (define @t178 () (forall (@list @t175 @t102 @t100) @t177)) % 0.36/0.65 (define @t179 () (forall (@list @t175) (forall @t131 @t177))) % 0.36/0.65 (define @t180 () (forall @t127 (= @t124 @t126))) % 0.36/0.65 (define @t181 () (forall @t134 @t180)) % 0.36/0.65 (define @t182 () (@list @t3)) % 0.36/0.65 (define @t183 () (forall @t131 (= @t129 @t130))) % 0.36/0.65 (define @t184 () (forall @t134 @t183)) % 0.36/0.65 (define @t185 () (and @t184 @t181)) % 0.36/0.65 (define @t186 () (forall @t168 (or (not @t167) @t166))) % 0.36/0.65 (define @t187 () (@quantifiers_skolemize @t186 2)) % 0.36/0.65 (define @t188 () (tptp.s tptp.tyop_2Enum_2Enum @t187)) % 0.36/0.65 (define @t189 () (tptp.c_2Ewords_2En2w_2E1 @t188)) % 0.36/0.65 (define @t190 () (@quantifiers_skolemize @t186 0)) % 0.36/0.65 (define @t191 () (tptp.tyop_2Efcp_2Ecart tptp.tyop_2Emin_2Ebool @t190)) % 0.36/0.65 (define @t192 () (@quantifiers_skolemize @t186 1)) % 0.36/0.65 (define @t193 () (tptp.s tptp.tyop_2Enum_2Enum @t192)) % 0.36/0.65 (define @t194 () (tptp.c_2Ewords_2En2w_2E1 @t193)) % 0.36/0.65 (define @t195 () (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.c_2Earithmetic_2E_2D_2E2 @t193 @t188)))) % 0.36/0.65 (define @t196 () (tptp.s @t191 @t195)) % 0.36/0.65 (define @t197 () (= @t196 (tptp.s @t191 (tptp.c_2Ewords_2Eword__sub_2E2 (tptp.s @t191 @t194) (tptp.s @t191 @t189))))) % 0.36/0.65 (define @t198 () (tptp.c_2Earithmetic_2E_3C_3D_2E2 @t188 @t193)) % 0.36/0.65 (define @t199 () (tptp.s tptp.tyop_2Emin_2Ebool @t198)) % 0.36/0.65 (define @t200 () (tptp.p @t199)) % 0.36/0.65 (define @t201 () (not @t200)) % 0.36/0.65 (define @t202 () (or @t201 @t197)) % 0.36/0.65 (define @t203 () (@list true)) % 0.36/0.65 (define @t204 () (@list @t202)) % 0.36/0.65 (define @t205 () (@var "BOUND_VARIABLE_8245" $$unsorted)) % 0.36/0.65 (define @t206 () (tptp.tyop_2Efcp_2Ecart tptp.tyop_2Emin_2Ebool @t205)) % 0.36/0.65 (define @t207 () (= (tptp.s @t206 (tptp.c_2Ewords_2Eword__add_2E2 (tptp.s @t206 @t148) (tptp.s @t206 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t206 @t147))))) (tptp.s @t206 (tptp.c_2Ebool_2ECOND_2E3 @t146 (tptp.s @t206 @t145) (tptp.s @t206 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t206 @t144))))))) % 0.36/0.65 (define @t208 () (@var "BOUND_VARIABLE_8243" $$unsorted)) % 0.36/0.65 (define @t209 () (forall (@list @t208 @t205 @t140 @t142) @t207)) % 0.36/0.65 (define @t210 () (forall (@list @t208 @t205) (forall @t149 @t207))) % 0.36/0.65 (define @t211 () (@var "BOUND_VARIABLE_8223" $$unsorted)) % 0.36/0.65 (define @t212 () (tptp.tyop_2Efcp_2Ecart tptp.tyop_2Emin_2Ebool @t211)) % 0.36/0.65 (define @t213 () (= (tptp.s @t212 (tptp.c_2Ewords_2Eword__add_2E2 (tptp.s @t212 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t212 @t157))) (tptp.s @t212 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t212 @t156))))) (tptp.s @t212 (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t212 @t155))))) % 0.36/0.65 (define @t214 () (@var "BOUND_VARIABLE_8225" $$unsorted)) % 0.36/0.65 (define @t215 () (forall (@list @t211 @t214 @t153 @t151) @t213)) % 0.36/0.65 (define @t216 () (forall (@list @t211 @t214) (forall @t158 @t213))) % 0.36/0.65 (define @t217 () (forall @t160 @t150)) % 0.36/0.65 (define @t218 () (@list @t3 @t2)) % 0.36/0.65 (define @t219 () (forall @t160 @t159)) % 0.36/0.65 (define @t220 () (and @t219 @t217)) % 0.36/0.65 (define @t221 () (tptp.c_2Ewords_2Eword__2comp_2E1 (tptp.s @t191 (tptp.c_2Ewords_2En2w_2E1 (tptp.s tptp.tyop_2Enum_2Enum (tptp.c_2Earithmetic_2E_2D_2E2 @t188 @t193)))))) % 0.36/0.65 (define @t222 () (tptp.s @t191 @t221)) % 0.36/0.65 (define @t223 () (= @t12 @t14)) % 0.36/0.65 (define @t224 () (or (= @t43 @t15) @t223)) % 0.36/0.65 (define @t225 () (or @t89 @t24)) % 0.36/0.65 (define @t226 () (= @t89 @t225)) % 0.36/0.65 (define @t227 () (forall @t30 @t226)) % 0.36/0.65 (define @t228 () (@list @t26)) % 0.36/0.65 (define @t229 () (forall @t30 @t22)) % 0.36/0.65 (define @t230 () (= @t22 (or @t25 @t88))) % 0.36/0.65 (define @t231 () (forall @t30 @t230)) % 0.36/0.65 (define @t232 () (= @t22 (or @t89 @t22))) % 0.36/0.65 (define @t233 () (forall @t30 @t232)) % 0.36/0.65 (define @t234 () (not @t22)) % 0.36/0.65 (define @t235 () (= @t88 (or @t234 @t88))) % 0.36/0.65 (define @t236 () (forall @t30 @t235)) % 0.36/0.65 (define @t237 () (and @t236 @t233 @t231 @t229 @t227)) % 0.36/0.65 (define @t238 () (and @t235 @t232 @t230 (= @t22 true) (= @t225 @t89))) % 0.36/0.65 (define @t239 () (= @t22 @t91)) % 0.36/0.65 (define @t240 () (= @t22 @t92)) % 0.36/0.65 (define @t241 () (= @t22 @t93)) % 0.36/0.65 (define @t242 () (= @t88 @t94)) % 0.36/0.65 (define @t243 () (and @t242 @t241 @t240 @t239 @t90)) % 0.36/0.65 (define @t244 () (= @t22 @t201)) % 0.36/0.65 (define @t245 () (not @t244)) % 0.36/0.65 (define @t246 () (= @t21 @t199)) % 0.36/0.65 (define @t247 () (or @t244 @t246)) % 0.36/0.65 (define @t248 () (@list true false)) % 0.36/0.65 (define @t249 () (tptp.c_2Ebool_2ECOND_2E3 @t21 @t196 @t222)) % 0.36/0.65 (define @t250 () (tptp.s @t191 @t249)) % 0.36/0.65 (define @t251 () (= @t196 @t250)) % 0.36/0.65 (assume @p1 (forall (@list @t3 @t2 @t6 @t1) (=> (forall (@list @t8) (= (tptp.s @t2 (tptp.app_2E2 @t7 @t9)) @t10)) (= @t7 @t5)))) % 0.36/0.65 (assume @p2 @t20) % 0.36/0.65 (assume @p3 @t22) % 0.36/0.65 (assume @p4 @t25) % 0.36/0.65 (assume @p5 (forall @t30 (or @t29 @t28))) % 0.36/0.65 (assume @p6 (forall @t34 (= (tptp.s @t3 (tptp.app_2E2 (tptp.s @t33 tptp.combin_i_2E0) @t32)) @t32))) % 0.36/0.65 (assume @p7 (forall (@list @t3 @t2 @t31 @t35) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s @t36 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t36) tptp.combin_k_2E0) @t32)) (tptp.s @t2 @t35))) @t32))) % 0.36/0.65 (assume @p8 (forall (@list @t3 @t2 @t37 @t6 @t1 @t8) (= (tptp.s @t37 (tptp.app_2E2 (tptp.s @t41 (tptp.app_2E2 (tptp.s @t42 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t39 @t42) tptp.combin_s_2E0) @t40)) @t5)) @t9)) (tptp.s @t37 (tptp.app_2E2 (tptp.s @t38 (tptp.app_2E2 @t40 @t9)) @t10))))) % 0.36/0.65 (assume @p9 (forall @t19 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_2F_5C_2E2 @t14 @t12))) (and @t16 @t15)))) % 0.36/0.65 (assume @p10 (forall @t19 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_5C_2F_2E2 @t14 @t12))) (or @t16 @t15)))) % 0.36/0.65 (assume @p11 (forall (@list @t13) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_7E_2E1 @t14))) @t43))) % 0.36/0.65 (assume @p12 (forall @t19 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_3D_3E_2E2 @t14 @t12))) (=> @t16 @t15)))) % 0.36/0.65 (assume @p13 (forall (@list @t3 @t13 @t11) (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_2E2 @t45 @t44))) (= @t45 @t44)))) % 0.36/0.65 (assume @p14 (forall @t51 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t48))) (forall @t50 @t49)))) % 0.36/0.65 (assume @p15 (forall @t51 (= (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t48))) (exists @t50 @t49)))) % 0.36/0.65 (assume @p16 (forall @t60 (= (and @t59 @t58) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t56 (tptp.app_2E2 (tptp.s @t57 tptp.c_2Ebool_2E_2F_5C_2E0) @t55)) @t53)))))) % 0.36/0.65 (assume @p17 (forall @t60 (= (or @t59 @t58) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t56 (tptp.app_2E2 (tptp.s @t57 tptp.c_2Ebool_2E_5C_2F_2E0) @t55)) @t53)))))) % 0.36/0.65 (assume @p18 (forall (@list @t54) (= (not @t59) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t56 tptp.c_2Ebool_2E_7E_2E0) @t55)))))) % 0.36/0.65 (assume @p19 (forall @t60 (= (=> @t59 @t58) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t56 (tptp.app_2E2 (tptp.s @t57 tptp.c_2Emin_2E_3D_3D_3E_2E0) @t55)) @t53)))))) % 0.36/0.65 (assume @p20 (forall @t63 (= (= @t62 @t61) (tptp.p (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t47 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t47) tptp.c_2Emin_2E_3D_2E0) @t62)) @t61)))))) % 0.36/0.65 (assume @p21 (forall @t66 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t64)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t65 tptp.c_2Ebool_2E_21_2E0) @t64))))) % 0.36/0.65 (assume @p22 (forall @t66 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t64)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t65 tptp.c_2Ebool_2E_3F_2E0) @t64))))) % 0.36/0.65 (assume @p23 (forall @t60 (= (tptp.s tptp.tyop_2Enum_2Enum (tptp.c_2Earithmetic_2E_2D_2E2 @t68 @t67)) (tptp.s tptp.tyop_2Enum_2Enum (tptp.app_2E2 (tptp.s @t69 (tptp.app_2E2 (tptp.s @t70 tptp.c_2Earithmetic_2E_2D_2E0) @t68)) @t67))))) % 0.36/0.65 (assume @p24 (forall @t66 (= (tptp.s @t71 @t72) (tptp.s @t71 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum @t71) tptp.c_2Ewords_2En2w_2E0) @t68))))) % 0.36/0.65 (assume @p25 (forall @t60 (= (tptp.s tptp.tyop_2Enum_2Enum (tptp.c_2Earithmetic_2E_2B_2E2 @t68 @t67)) (tptp.s tptp.tyop_2Enum_2Enum (tptp.app_2E2 (tptp.s @t69 (tptp.app_2E2 (tptp.s @t70 tptp.c_2Earithmetic_2E_2B_2E0) @t68)) @t67))))) % 0.36/0.65 (assume @p26 (forall @t66 (= (tptp.s @t71 (tptp.c_2Ewords_2Eword__2comp_2E1 @t73)) (tptp.s @t71 (tptp.app_2E2 (tptp.s @t74 tptp.c_2Ewords_2Eword__2comp_2E0) @t73))))) % 0.36/0.65 (assume @p27 (forall @t60 (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Earithmetic_2E_3C_3D_2E2 @t68 @t67)) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t75 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum @t75) tptp.c_2Earithmetic_2E_3C_3D_2E0) @t68)) @t67))))) % 0.36/0.65 (assume @p28 (forall @t63 (= (tptp.s @t71 (tptp.c_2Ewords_2Eword__add_2E2 @t73 @t76)) (tptp.s @t71 (tptp.app_2E2 (tptp.s @t74 (tptp.app_2E2 (tptp.s @t77 tptp.c_2Ewords_2Eword__add_2E0) @t73)) @t76))))) % 0.36/0.65 (assume @p29 (forall @t79 (= (tptp.s @t78 @t72) (tptp.s @t78 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum @t78) tptp.c_2Ewords_2En2w_2E0) @t68))))) % 0.36/0.65 (assume @p30 (forall @t79 (= (tptp.s @t78 (tptp.c_2Ewords_2Eword__2comp_2E1 @t80)) (tptp.s @t78 (tptp.app_2E2 (tptp.s @t81 tptp.c_2Ewords_2Eword__2comp_2E0) @t80))))) % 0.36/0.65 (assume @p31 (forall (@list @t2 @t54 @t52) (= (tptp.s @t78 (tptp.c_2Ewords_2Eword__add_2E2 @t80 @t82)) (tptp.s @t78 (tptp.app_2E2 (tptp.s @t81 (tptp.app_2E2 (tptp.s @t83 tptp.c_2Ewords_2Eword__add_2E0) @t80)) @t82))))) % 0.36/0.65 (assume @p32 (forall @t63 (= (tptp.s @t71 (tptp.c_2Ewords_2Eword__sub_2E2 @t73 @t76)) (tptp.s @t71 (tptp.app_2E2 (tptp.s @t74 (tptp.app_2E2 (tptp.s @t77 tptp.c_2Ewords_2Eword__sub_2E0) @t73)) @t76))))) % 0.36/0.65 (assume @p33 (forall (@list @t3 @t54 @t52 @t84) (= (tptp.s @t3 (tptp.c_2Ebool_2ECOND_2E3 @t55 @t61 @t85)) (tptp.s @t3 (tptp.app_2E2 (tptp.s @t33 (tptp.app_2E2 (tptp.s @t86 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t86) tptp.c_2Ebool_2ECOND_2E0) @t55)) @t61)) @t85))))) % 0.36/0.65 (assume @p34 (forall (@list @t2 @t54 @t52 @t84) (= (tptp.s @t78 (tptp.c_2Ebool_2ECOND_2E3 @t55 @t82 @t87)) (tptp.s @t78 (tptp.app_2E2 (tptp.s @t81 (tptp.app_2E2 (tptp.s @t83 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t83) tptp.c_2Ebool_2ECOND_2E0) @t55)) @t82)) @t87))))) % 0.36/0.65 (assume @p35 @t96) % 0.36/0.65 (assume @p36 (forall @t34 (= (= @t32 @t32) @t22))) % 0.36/0.65 (assume @p37 (forall (@list @t3 @t31 @t35) (= (= @t32 @t97) (= @t97 @t32)))) % 0.36/0.65 (assume @p38 (forall @t30 (and (= (= @t21 @t27) @t88) (= @t29 @t88) (= (= @t23 @t27) @t89) (= @t28 @t89)))) % 0.36/0.65 (assume @p39 (forall (@list @t102 @t100 @t98) (= (=> @t103 (=> @t101 @t99)) (=> (and @t103 @t101) @t99)))) % 0.36/0.65 (assume @p40 (forall (@list @t31 @t106 @t109 @t104) (=> (and (= @t111 @t107) (=> @t108 (= @t110 @t105))) (= (=> (tptp.p @t111) (tptp.p @t110)) (=> @t108 (tptp.p @t105)))))) % 0.36/0.65 (assume @p41 (forall (@list @t3 @t120 @t116 @t8 @t114 @t118 @t112) (=> (and (= @t121 @t117) (=> @t122 (= @t9 @t115)) (=> (not @t122) (= @t119 @t113))) (= (tptp.s @t3 (tptp.c_2Ebool_2ECOND_2E3 @t121 @t9 @t119)) (tptp.s @t3 (tptp.c_2Ebool_2ECOND_2E3 @t117 @t115 @t113)))))) % 0.36/0.65 (assume @p42 @t135) % 0.36/0.65 (assume @p43 (forall (@list @t3 @t138 @t136) (= (tptp.s @t71 (tptp.c_2Ewords_2Eword__sub_2E2 @t139 @t137)) (tptp.s @t71 (tptp.c_2Ewords_2Eword__add_2E2 @t139 (tptp.s @t71 (tptp.c_2Ewords_2Eword__2comp_2E1 @t137))))))) % 0.36/0.65 (assume @p44 @t161) % 0.36/0.65 (assume @p45 @t170) % 0.36/0.65 (assume @p46 true) % 0.36/0.65 (step @p47 :rule quant-merge-prenex :args ((= @t174 (forall (@list @t171 @t125 @t123) @t173)))) % 0.36/0.65 (step @p48 :rule quant-merge-prenex :args ((= @t179 @t178))) % 0.36/0.65 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((and @t179 @t174))) % 0.36/0.65 (step @p50 :rule alpha_equiv :args (@t181 @t182 (@list @t171))) % 0.36/0.65 (step @p51 :rule alpha_equiv :args (@t184 @t182 (@list @t175))) % 0.36/0.65 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t185)) % 0.36/0.65 (step @p53 :rule quant-miniscope-and :args ((= (forall @t134 (and @t183 @t180)) @t185))) % 0.36/0.65 (step @p54 :rule trans :premises (@p53 @p52)) % 0.36/0.65 (step @p55 :rule trans :premises (@p54 @p49)) % 0.36/0.65 (step @p56 :rule eq-symm :args (@t126 @t124)) % 0.36/0.65 (step @p57 :rule cong :premises (@p56) :args (@t128)) % 0.36/0.65 (step @p58 :rule eq-symm :args (@t130 @t129)) % 0.36/0.65 (step @p59 :rule cong :premises (@p58) :args (@t132)) % 0.36/0.65 (step @p60 :rule nary_cong :premises (@p59 @p57) :args (@t133)) % 0.36/0.65 (step @p61 :rule cong :premises (@p60) :args (@t135)) % 0.36/0.65 (step @p62 :rule trans :premises (@p61 @p55)) % 0.36/0.65 (step @p63 :rule eq_resolve :premises (@p42 @p62)) % 0.36/0.65 (step @p64 :rule and_elim :premises (@p63) :args (0)) % 0.36/0.65 (step @p65 :rule bool-impl-elim :args (@t167 @t166)) % 0.36/0.65 (step @p66 :rule cong :premises (@p65) :args (@t169)) % 0.36/0.65 (step @p67 :rule cong :premises (@p66) :args (@t170)) % 0.36/0.65 (step @p68 :rule eq_resolve :premises (@p45 @p67)) % 0.36/0.65 (step @p69 :rule skolemize :premises (@p68)) % 0.36/0.65 (step @p70 :rule cnf_or_neg :args (@t202 1)) % 0.36/0.65 (step @p71 :rule chain_m_resolution :premises (@p70 @p69) :args ((not @t197) @t203 @t204)) % 0.36/0.65 (step @p72 :rule false_intro :premises (@p71)) % 0.36/0.65 (step @p73 :rule instantiate :premises (@p43) :args ((@list @t190 @t194 @t189))) % 0.36/0.65 (step @p74 :rule symm :premises (@p73)) % 0.36/0.65 (step @p75 :rule quant-unused-vars :args ((= @t209 (forall (@list @t205 @t140 @t142) @t207)))) % 0.36/0.65 (step @p76 :rule quant-merge-prenex :args ((= @t210 @t209))) % 0.36/0.65 (step @p77 :rule trans :premises (@p76 @p75)) % 0.36/0.65 (step @p78 :rule quant-unused-vars :args ((= @t215 (forall (@list @t211 @t153 @t151) @t213)))) % 0.36/0.65 (step @p79 :rule quant-merge-prenex :args ((= @t216 @t215))) % 0.36/0.65 (step @p80 :rule trans :premises (@p79 @p78)) % 0.36/0.65 (step @p81 :rule nary_cong :premises (@p80 @p77) :args ((and @t216 @t210))) % 0.36/0.65 (step @p82 :rule alpha_equiv :args (@t217 @t218 (@list @t208 @t205))) % 0.36/0.65 (step @p83 :rule alpha_equiv :args (@t219 @t218 (@list @t211 @t214))) % 0.36/0.65 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t220)) % 0.36/0.65 (step @p85 :rule quant-miniscope-and :args ((= @t161 @t220))) % 0.36/0.65 (step @p86 :rule trans :premises (@p85 @p84)) % 0.36/0.65 (step @p87 :rule trans :premises (@p86 @p81)) % 0.36/0.65 (step @p88 :rule eq_resolve :premises (@p44 @p87)) % 0.36/0.65 (step @p89 :rule and_elim :premises (@p88) :args (1)) % 0.36/0.65 (step @p90 :rule instantiate :premises (@p89) :args ((@list @t190 @t192 @t187))) % 0.36/0.65 (step @p91 :rule symm :premises (@p90)) % 0.36/0.65 (step @p92 :rule refl :args (@t222)) % 0.36/0.65 (step @p93 :rule refl :args (@t196)) % 0.36/0.65 (step @p94 :rule refl :args (@t223)) % 0.36/0.65 (step @p95 :rule eq-symm :args (@t43 @t15)) % 0.36/0.65 (step @p96 :rule nary_cong :premises (@p95 @p94) :args (@t224)) % 0.36/0.65 (step @p97 :rule cong :premises (@p96) :args ((forall @t19 @t224))) % 0.36/0.65 (step @p98 :rule refl :args (@t223)) % 0.36/0.65 (step @p99 :rule bool-not-eq-elim1 :args (@t16 @t15)) % 0.36/0.65 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or (not @t17) @t223))) % 0.36/0.65 (step @p101 :rule bool-impl-elim :args (@t17 @t223)) % 0.36/0.65 (step @p102 :rule trans :premises (@p101 @p100)) % 0.36/0.65 (step @p103 :rule cong :premises (@p102) :args ((forall @t19 (=> @t17 @t223)))) % 0.36/0.65 (step @p104 :rule trans :premises (@p103 @p97)) % 0.36/0.65 (step @p105 :rule eq-symm :args (@t14 @t12)) % 0.36/0.65 (step @p106 :rule refl :args (@t17)) % 0.36/0.65 (step @p107 :rule cong :premises (@p106 @p105) :args (@t18)) % 0.36/0.65 (step @p108 :rule cong :premises (@p107) :args (@t20)) % 0.36/0.65 (step @p109 :rule trans :premises (@p108 @p104)) % 0.36/0.65 (step @p110 :rule eq_resolve :premises (@p2 @p109)) % 0.36/0.65 (step @p111 :rule instantiate :premises (@p110) :args ((@list @t198 tptp.c_2Ebool_2ET_2E0))) % 0.36/0.65 (step @p112 :rule bool-double-not-elim :args (@t200)) % 0.36/0.65 (step @p113 :rule refl :args (@t202)) % 0.36/0.65 (step @p114 :rule nary_cong :premises (@p113 @p112) :args ((or @t202 (not @t201)))) % 0.36/0.65 (step @p115 :rule cnf_or_neg :args (@t202 0)) % 0.36/0.65 (step @p116 :rule eq_resolve :premises (@p115 @p114)) % 0.36/0.65 (step @p117 :rule reordering :premises (@p116) :args ((or @t200 @t202))) % 0.36/0.65 (step @p118 :rule chain_m_resolution :premises (@p117 @p69) :args (@t200 @t203 @t204)) % 0.36/0.65 (step @p119 :rule alpha_equiv :args (@t227 @t228 (@list (@var "BOUND_VARIABLE_8097" $$unsorted)))) % 0.36/0.65 (step @p120 :rule quant-unused-vars :args ((= @t229 @t22))) % 0.36/0.65 (step @p121 :rule alpha_equiv :args (@t231 @t228 (@list (@var "BOUND_VARIABLE_8088" $$unsorted)))) % 0.36/0.65 (step @p122 :rule alpha_equiv :args (@t233 @t228 (@list (@var "BOUND_VARIABLE_8079" $$unsorted)))) % 0.36/0.65 (step @p123 :rule alpha_equiv :args (@t236 @t228 (@list (@var "BOUND_VARIABLE_8071" $$unsorted)))) % 0.36/0.66 (step @p124 :rule nary_cong :premises (@p123 @p122 @p121 @p120 @p119) :args (@t237)) % 0.36/0.66 (step @p125 :rule quant-miniscope-and :args ((= (forall @t30 (and @t235 @t232 @t230 @t22 @t226)) @t237))) % 0.36/0.66 (step @p126 :rule trans :premises (@p125 @p124)) % 0.36/0.66 (step @p127 :rule eq-symm :args (@t225 @t89)) % 0.36/0.66 (step @p128 :rule bool-eq-true :args (@t22)) % 0.36/0.66 (step @p129 :rule refl :args (@t230)) % 0.36/0.66 (step @p130 :rule refl :args (@t232)) % 0.36/0.66 (step @p131 :rule refl :args (@t235)) % 0.36/0.66 (step @p132 :rule nary_cong :premises (@p131 @p130 @p129 @p128 @p127) :args (@t238)) % 0.36/0.66 (step @p133 :rule cong :premises (@p132) :args ((forall @t30 @t238))) % 0.36/0.66 (step @p134 :rule trans :premises (@p133 @p126)) % 0.36/0.66 (step @p135 :rule refl :args (@t89)) % 0.36/0.66 (step @p136 :rule bool-impl-elim :args (@t88 @t24)) % 0.36/0.66 (step @p137 :rule cong :premises (@p136 @p135) :args (@t90)) % 0.36/0.66 (step @p138 :rule bool-or-taut2 :args (false @t88 false false)) % 0.36/0.66 (step @p139 :rule bool-impl-elim :args (@t88 @t88)) % 0.36/0.66 (step @p140 :rule trans :premises (@p139 @p138)) % 0.36/0.66 (step @p141 :rule refl :args (@t22)) % 0.36/0.66 (step @p142 :rule cong :premises (@p141 @p140) :args (@t239)) % 0.36/0.66 (step @p143 :rule bool-impl-elim :args (@t24 @t88)) % 0.36/0.66 (step @p144 :rule cong :premises (@p141 @p143) :args (@t240)) % 0.36/0.66 (step @p145 :rule bool-impl-elim :args (@t88 @t22)) % 0.36/0.66 (step @p146 :rule cong :premises (@p141 @p145) :args (@t241)) % 0.36/0.66 (step @p147 :rule bool-impl-elim :args (@t22 @t88)) % 0.36/0.66 (step @p148 :rule refl :args (@t88)) % 0.36/0.66 (step @p149 :rule cong :premises (@p148 @p147) :args (@t242)) % 0.36/0.66 (step @p150 :rule nary_cong :premises (@p149 @p146 @p144 @p142 @p137) :args (@t243)) % 0.36/0.66 (step @p151 :rule cong :premises (@p150) :args ((forall @t30 @t243))) % 0.36/0.66 (step @p152 :rule trans :premises (@p151 @p134)) % 0.36/0.66 (step @p153 :rule refl :args (@t90)) % 0.36/0.66 (step @p154 :rule eq-symm :args (@t91 @t22)) % 0.36/0.66 (step @p155 :rule eq-symm :args (@t92 @t22)) % 0.36/0.66 (step @p156 :rule eq-symm :args (@t93 @t22)) % 0.36/0.66 (step @p157 :rule eq-symm :args (@t94 @t88)) % 0.36/0.66 (step @p158 :rule nary_cong :premises (@p157 @p156 @p155 @p154 @p153) :args (@t95)) % 0.36/0.66 (step @p159 :rule cong :premises (@p158) :args (@t96)) % 0.36/0.66 (step @p160 :rule trans :premises (@p159 @p152)) % 0.36/0.66 (step @p161 :rule eq_resolve :premises (@p35 @p160)) % 0.36/0.66 (step @p162 :rule and_elim :premises (@p161) :args (3)) % 0.36/0.66 (step @p163 :rule cnf_equiv_pos1 :args (@t244)) % 0.36/0.66 (step @p164 :rule reordering :premises (@p163) :args ((or @t234 @t201 @t245))) % 0.36/0.66 (step @p165 :rule chain_m_resolution :premises (@p164 @p162 @p118) :args (@t245 (@list false false) (@list @t22 @t200))) % 0.36/0.66 (step @p166 :rule cnf_or_pos :args (@t247)) % 0.36/0.66 (step @p167 :rule reordering :premises (@p166) :args ((or @t244 @t246 (not @t247)))) % 0.36/0.66 (step @p168 :rule chain_m_resolution :premises (@p167 @p165 @p111) :args (@t246 @t248 (@list @t244 @t247))) % 0.36/0.66 (step @p169 :rule cong :premises (@p168 @p93 @p92) :args (@t249)) % 0.36/0.66 (step @p170 :rule refl :args (@t191)) % 0.36/0.66 (step @p171 :rule cong :premises (@p170 @p169) :args (@t250)) % 0.36/0.66 (step @p172 :rule trans :premises (@p171 @p91 @p74)) % 0.36/0.66 (step @p173 :rule cong :premises (@p93 @p172) :args (@t251)) % 0.36/0.66 (step @p174 :rule trans :premises (@p173 @p72)) % 0.36/0.66 (step @p175 :rule false_elim :premises (@p174)) % 0.36/0.66 (assume-push @p182 @t178) % 0.36/0.66 (step @p177 :rule instantiate :premises (@p64) :args ((@list @t191 @t195 @t221))) % 0.36/0.66 (step-pop @p183 :rule scope :premises (@p177)) % 0.36/0.66 (step @p178 :rule process_scope :premises (@p183) :args (@t251)) % 0.36/0.66 (step @p180 :rule implies_elim :premises (@p178)) % 0.36/0.66 (step @p181 false :rule chain_m_resolution :premises (@p180 @p175 @p64) :args (false @t248 (@list @t251 @t178))) % 0.36/0.66 ) % 0.36/0.66 % SZS output end Proof % 0.36/0.66 % cvc5 exiting %------------------------------------------------------------------------------