%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT379+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:30:34 AM UTC 2026 % Result : Theorem 0.35s 0.78s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT379+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 06:59:19 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.78 % SZS status Theorem % 0.35/0.78 % SZS output start Proof % 0.35/0.78 ( % 0.35/0.78 (declare-sort $$unsorted 0) % 0.35/0.78 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.v12_waybel_0 (-> $$unsorted $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.v13_waybel_0 (-> $$unsorted $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.v2_waybel_0 (-> $$unsorted $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.r4_waybel_0 (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.k2_tarski (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.78 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.v20_waybel_0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.k1_pre_topc (-> $$unsorted $$unsorted)) % 0.35/0.78 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.l1_orders_2 (-> $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.35/0.78 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.35/0.78 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.v1_waybel_0 (-> $$unsorted $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.v4_waybel34 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.35/0.78 (declare-const tptp.v5_waybel34 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.v5_orders_2 (-> $$unsorted $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.78 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.v4_ordinal2 (-> $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.v1_setfam_1 (-> $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.35/0.78 (declare-const tptp.k2_struct_0 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.78 (define @t1 () (@var "B" $$unsorted)) % 0.35/0.78 (define @t2 () (@var "A" $$unsorted)) % 0.35/0.78 (define @t3 () (@var "C" $$unsorted)) % 0.35/0.78 (define @t4 () (tptp.v5_waybel34 @t3 @t2 @t1)) % 0.35/0.78 (define @t5 () (tptp.v20_waybel_0 @t3 @t2 @t1)) % 0.35/0.78 (define @t6 () (and @t5 @t4)) % 0.35/0.78 (define @t7 () (tptp.v4_waybel34 @t3 @t2 @t1)) % 0.35/0.78 (define @t8 () (=> @t7 @t6)) % 0.35/0.78 (define @t9 () (tptp.u1_struct_0 @t1)) % 0.35/0.78 (define @t10 () (tptp.u1_struct_0 @t2)) % 0.35/0.78 (define @t11 () (tptp.m2_relset_1 @t3 @t10 @t9)) % 0.35/0.78 (define @t12 () (tptp.v1_funct_2 @t3 @t10 @t9)) % 0.35/0.78 (define @t13 () (tptp.v1_funct_1 @t3)) % 0.35/0.78 (define @t14 () (and @t13 @t12 @t11)) % 0.35/0.78 (define @t15 () (@list @t3)) % 0.35/0.78 (define @t16 () (forall @t15 (=> @t14 @t8))) % 0.35/0.78 (define @t17 () (tptp.l1_orders_2 @t1)) % 0.35/0.78 (define @t18 () (tptp.v3_struct_0 @t1)) % 0.35/0.78 (define @t19 () (not @t18)) % 0.35/0.78 (define @t20 () (and @t19 @t17)) % 0.35/0.78 (define @t21 () (=> @t20 @t16)) % 0.35/0.78 (define @t22 () (@list @t1)) % 0.35/0.78 (define @t23 () (forall @t22 @t21)) % 0.35/0.78 (define @t24 () (tptp.l1_orders_2 @t2)) % 0.35/0.78 (define @t25 () (tptp.v3_struct_0 @t2)) % 0.35/0.78 (define @t26 () (not @t25)) % 0.35/0.78 (define @t27 () (and @t26 @t24)) % 0.35/0.78 (define @t28 () (=> @t27 @t23)) % 0.35/0.78 (define @t29 () (@list @t2)) % 0.35/0.78 (define @t30 () (forall @t29 @t28)) % 0.35/0.78 (define @t31 () (not @t30)) % 0.35/0.78 (define @t32 () (tptp.r2_hidden @t2 @t1)) % 0.35/0.78 (define @t33 () (@list @t2 @t1)) % 0.35/0.78 (define @t34 () (tptp.v1_xcmplx_0 @t1)) % 0.35/0.78 (define @t35 () (tptp.m1_subset_1 @t1 @t2)) % 0.35/0.78 (define @t36 () (tptp.v1_membered @t2)) % 0.35/0.78 (define @t37 () (tptp.v1_xreal_0 @t1)) % 0.35/0.78 (define @t38 () (tptp.v2_membered @t2)) % 0.35/0.78 (define @t39 () (tptp.v1_rat_1 @t1)) % 0.35/0.78 (define @t40 () (tptp.v3_membered @t2)) % 0.35/0.78 (define @t41 () (tptp.v1_int_1 @t1)) % 0.35/0.78 (define @t42 () (tptp.v4_membered @t2)) % 0.35/0.78 (define @t43 () (tptp.v4_ordinal2 @t1)) % 0.35/0.78 (define @t44 () (tptp.v5_membered @t2)) % 0.35/0.78 (define @t45 () (tptp.v1_xboole_0 @t2)) % 0.35/0.78 (define @t46 () (tptp.v1_membered @t1)) % 0.35/0.78 (define @t47 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t2))) % 0.35/0.78 (define @t48 () (tptp.v2_membered @t1)) % 0.35/0.78 (define @t49 () (tptp.v3_membered @t1)) % 0.35/0.78 (define @t50 () (tptp.v4_membered @t1)) % 0.35/0.78 (define @t51 () (tptp.v1_finset_1 @t2)) % 0.35/0.78 (define @t52 () (tptp.v1_funct_1 @t2)) % 0.35/0.78 (define @t53 () (tptp.k2_zfmisc_1 @t2 @t1)) % 0.35/0.78 (define @t54 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t53))) % 0.35/0.78 (define @t55 () (@list @t2 @t1 @t3)) % 0.35/0.78 (define @t56 () (tptp.v1_xboole_0 @t1)) % 0.35/0.78 (define @t57 () (not @t56)) % 0.35/0.78 (define @t58 () (not @t45)) % 0.35/0.78 (define @t59 () (and @t58 (tptp.v1_setfam_1 @t2))) % 0.35/0.78 (define @t60 () (tptp.v1_finset_1 @t1)) % 0.35/0.78 (define @t61 () (tptp.v1_relat_1 @t2)) % 0.35/0.78 (define @t62 () (and @t61 @t52 (tptp.v2_funct_1 @t2))) % 0.35/0.78 (define @t63 () (and @t61 @t45 @t52)) % 0.35/0.78 (define @t64 () (tptp.k2_struct_0 @t2 @t1 @t3)) % 0.35/0.78 (define @t65 () (tptp.m1_subset_1 @t3 @t10)) % 0.35/0.78 (define @t66 () (tptp.m1_subset_1 @t1 @t10)) % 0.35/0.78 (define @t67 () (tptp.l1_struct_0 @t2)) % 0.35/0.78 (define @t68 () (and @t26 @t67 @t66 @t65)) % 0.35/0.78 (define @t69 () (tptp.k2_tarski @t2 @t1)) % 0.35/0.78 (define @t70 () (@var "D" $$unsorted)) % 0.35/0.78 (define @t71 () (tptp.r4_waybel_0 @t2 @t1 @t3 @t70)) % 0.35/0.78 (define @t72 () (tptp.k1_zfmisc_1 @t10)) % 0.35/0.78 (define @t73 () (tptp.m1_subset_1 @t70 @t72)) % 0.35/0.78 (define @t74 () (tptp.v1_finset_1 @t70)) % 0.35/0.78 (define @t75 () (and @t74 @t73)) % 0.35/0.78 (define @t76 () (@list @t70)) % 0.35/0.78 (define @t77 () (forall @t76 (=> @t75 @t71))) % 0.35/0.78 (define @t78 () (= @t7 @t77)) % 0.35/0.78 (define @t79 () (=> @t14 @t78)) % 0.35/0.78 (define @t80 () (forall @t15 @t79)) % 0.35/0.78 (define @t81 () (=> @t20 @t80)) % 0.35/0.78 (define @t82 () (forall @t22 @t81)) % 0.35/0.78 (define @t83 () (=> @t27 @t82)) % 0.35/0.78 (define @t84 () (forall @t29 @t83)) % 0.35/0.78 (define @t85 () (tptp.k1_pre_topc @t2)) % 0.35/0.78 (define @t86 () (= @t4 (tptp.r4_waybel_0 @t2 @t1 @t3 @t85))) % 0.35/0.78 (define @t87 () (forall @t15 (=> @t14 @t86))) % 0.35/0.78 (define @t88 () (=> @t20 @t87)) % 0.35/0.78 (define @t89 () (forall @t22 @t88)) % 0.35/0.78 (define @t90 () (=> @t27 @t89)) % 0.35/0.78 (define @t91 () (forall @t29 @t90)) % 0.35/0.78 (define @t92 () (@var "E" $$unsorted)) % 0.35/0.78 (define @t93 () (tptp.r4_waybel_0 @t2 @t1 @t3 (tptp.k2_struct_0 @t2 @t70 @t92))) % 0.35/0.78 (define @t94 () (tptp.m1_subset_1 @t92 @t10)) % 0.35/0.78 (define @t95 () (@list @t92)) % 0.35/0.78 (define @t96 () (forall @t95 (=> @t94 @t93))) % 0.35/0.78 (define @t97 () (tptp.m1_subset_1 @t70 @t10)) % 0.35/0.78 (define @t98 () (=> @t97 @t96)) % 0.35/0.78 (define @t99 () (forall @t76 @t98)) % 0.35/0.78 (define @t100 () (= @t5 @t99)) % 0.35/0.78 (define @t101 () (=> @t14 @t100)) % 0.35/0.78 (define @t102 () (forall @t15 @t101)) % 0.35/0.78 (define @t103 () (=> @t20 @t102)) % 0.35/0.78 (define @t104 () (forall @t22 @t103)) % 0.35/0.78 (define @t105 () (=> @t27 @t104)) % 0.35/0.78 (define @t106 () (forall @t29 @t105)) % 0.35/0.78 (define @t107 () (tptp.m1_subset_1 @t85 @t72)) % 0.35/0.78 (define @t108 () (forall @t29 (=> @t67 @t107))) % 0.35/0.78 (define @t109 () (tptp.m1_subset_1 @t64 @t72)) % 0.35/0.78 (define @t110 () (forall @t55 (=> @t68 @t109))) % 0.35/0.78 (define @t111 () (forall @t29 (=> @t24 @t67))) % 0.35/0.78 (define @t112 () (tptp.m2_relset_1 @t3 @t2 @t1)) % 0.35/0.78 (define @t113 () (tptp.m1_relset_1 @t3 @t2 @t1)) % 0.35/0.78 (define @t114 () (tptp.v1_membered @t69)) % 0.35/0.78 (define @t115 () (tptp.v2_membered @t69)) % 0.35/0.78 (define @t116 () (tptp.v3_membered @t69)) % 0.35/0.78 (define @t117 () (tptp.v4_membered @t69)) % 0.35/0.78 (define @t118 () (tptp.v5_membered @t85)) % 0.35/0.78 (define @t119 () (tptp.v4_membered @t85)) % 0.35/0.78 (define @t120 () (tptp.v3_membered @t85)) % 0.35/0.78 (define @t121 () (tptp.v2_membered @t85)) % 0.35/0.78 (define @t122 () (tptp.v1_membered @t85)) % 0.35/0.78 (define @t123 () (tptp.v1_xboole_0 @t85)) % 0.35/0.78 (define @t124 () (and @t26 @t67)) % 0.35/0.78 (define @t125 () (tptp.v2_waybel_0 @t85 @t2)) % 0.35/0.78 (define @t126 () (tptp.v1_waybel_0 @t85 @t2)) % 0.35/0.78 (define @t127 () (tptp.v5_orders_2 @t85 @t2)) % 0.35/0.78 (define @t128 () (tptp.v1_finset_1 @t85)) % 0.35/0.78 (define @t129 () (and @t123 @t128 @t127 @t122 @t121 @t120 @t119 @t118 @t126 @t125 (tptp.v12_waybel_0 @t85 @t2) (tptp.v13_waybel_0 @t85 @t2))) % 0.35/0.78 (define @t130 () (forall @t29 (=> @t24 @t129))) % 0.35/0.78 (define @t131 () (tptp.v1_finset_1 @t69)) % 0.35/0.78 (define @t132 () (not (tptp.v1_xboole_0 @t69))) % 0.35/0.78 (define @t133 () (forall @t33 (and @t132 @t131))) % 0.35/0.78 (define @t134 () (tptp.m1_subset_1 @t1 @t72)) % 0.35/0.78 (define @t135 () (tptp.v13_waybel_0 @t1 @t2)) % 0.35/0.78 (define @t136 () (tptp.v12_waybel_0 @t1 @t2)) % 0.35/0.78 (define @t137 () (= @t64 (tptp.k2_tarski @t1 @t3))) % 0.35/0.78 (define @t138 () (forall @t55 (=> @t68 @t137))) % 0.35/0.78 (define @t139 () (tptp.m1_subset_1 @t2 @t1)) % 0.35/0.78 (define @t140 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t3))) % 0.35/0.78 (define @t141 () (forall @t33 @t131)) % 0.35/0.78 (define @t142 () (@list @t2 @t1)) % 0.35/0.78 (define @t143 () (forall @t33 @t132)) % 0.35/0.78 (define @t144 () (and @t143 @t141)) % 0.35/0.78 (define @t145 () (@var "BOUND_VARIABLE_8332" $$unsorted)) % 0.35/0.78 (define @t146 () (@var "BOUND_VARIABLE_7879" $$unsorted)) % 0.35/0.78 (define @t147 () (@var "BOUND_VARIABLE_7881" $$unsorted)) % 0.35/0.78 (define @t148 () (and (tptp.v20_waybel_0 @t147 @t2 @t146) (tptp.v5_waybel34 @t147 @t2 @t146))) % 0.35/0.78 (define @t149 () (not (tptp.v4_waybel34 @t147 @t2 @t146))) % 0.35/0.78 (define @t150 () (tptp.u1_struct_0 @t146)) % 0.35/0.78 (define @t151 () (not (tptp.m2_relset_1 @t147 @t10 @t150))) % 0.35/0.78 (define @t152 () (not (tptp.v1_funct_2 @t147 @t10 @t150))) % 0.35/0.78 (define @t153 () (not (tptp.v1_funct_1 @t147))) % 0.35/0.78 (define @t154 () (not (tptp.l1_orders_2 @t146))) % 0.35/0.78 (define @t155 () (tptp.v3_struct_0 @t146)) % 0.35/0.78 (define @t156 () (not @t24)) % 0.35/0.78 (define @t157 () (or @t25 @t156 @t155 @t154 @t153 @t152 @t151 @t149 @t148)) % 0.35/0.78 (define @t158 () (@list @t2 @t146 @t147)) % 0.35/0.78 (define @t159 () (forall @t158 @t157)) % 0.35/0.78 (define @t160 () (@quantifiers_skolemize @t159 0)) % 0.35/0.78 (define @t161 () (@quantifiers_skolemize @t159 2)) % 0.35/0.78 (define @t162 () (@quantifiers_skolemize @t159 1)) % 0.35/0.78 (define @t163 () (tptp.u1_struct_0 @t160)) % 0.35/0.78 (define @t164 () (@list @t70 @t145)) % 0.35/0.78 (define @t165 () (forall @t164 (or (not (tptp.m1_subset_1 @t70 @t163)) (not (tptp.m1_subset_1 @t145 @t163)) (tptp.r4_waybel_0 @t160 @t162 @t161 (tptp.k2_struct_0 @t160 @t70 @t145))))) % 0.35/0.78 (define @t166 () (@quantifiers_skolemize @t165 1)) % 0.35/0.78 (define @t167 () (@quantifiers_skolemize @t165 0)) % 0.35/0.78 (define @t168 () (not @t65)) % 0.35/0.78 (define @t169 () (not @t66)) % 0.35/0.78 (define @t170 () (not @t67)) % 0.35/0.78 (define @t171 () (or @t25 @t170 @t169 @t168)) % 0.35/0.78 (define @t172 () (not @t26)) % 0.35/0.78 (define @t173 () (or @t172 @t170 @t169 @t168)) % 0.35/0.78 (define @t174 () (not @t68)) % 0.35/0.78 (define @t175 () (@list @t160 @t167 @t166)) % 0.35/0.78 (define @t176 () (tptp.k2_struct_0 @t2 @t70 @t145)) % 0.35/0.78 (define @t177 () (@var "BOUND_VARIABLE_8378" $$unsorted)) % 0.35/0.78 (define @t178 () (@var "BOUND_VARIABLE_8376" $$unsorted)) % 0.35/0.78 (define @t179 () (not (tptp.m1_subset_1 @t145 @t10))) % 0.35/0.78 (define @t180 () (not @t97)) % 0.35/0.78 (define @t181 () (= (tptp.v20_waybel_0 @t177 @t2 @t178) (forall @t164 (or @t180 @t179 (tptp.r4_waybel_0 @t2 @t178 @t177 @t176))))) % 0.35/0.78 (define @t182 () (tptp.u1_struct_0 @t178)) % 0.35/0.78 (define @t183 () (not (tptp.m2_relset_1 @t177 @t10 @t182))) % 0.35/0.78 (define @t184 () (not (tptp.v1_funct_2 @t177 @t10 @t182))) % 0.35/0.78 (define @t185 () (not (tptp.v1_funct_1 @t177))) % 0.35/0.78 (define @t186 () (not (tptp.l1_orders_2 @t178))) % 0.35/0.78 (define @t187 () (tptp.v3_struct_0 @t178)) % 0.35/0.78 (define @t188 () (or @t187 @t186 @t185 @t184 @t183 @t181)) % 0.35/0.78 (define @t189 () (or @t25 @t156 @t188)) % 0.35/0.78 (define @t190 () (forall (@list @t2 @t178 @t177) @t189)) % 0.35/0.78 (define @t191 () (@list @t178 @t177)) % 0.35/0.78 (define @t192 () (forall @t191 @t189)) % 0.35/0.78 (define @t193 () (forall @t191 @t188)) % 0.35/0.78 (define @t194 () (@var "BOUND_VARIABLE_8353" $$unsorted)) % 0.35/0.78 (define @t195 () (or @t25 @t156 @t193)) % 0.35/0.78 (define @t196 () (= (tptp.v20_waybel_0 @t194 @t2 @t1) (forall @t164 (or @t180 @t179 (tptp.r4_waybel_0 @t2 @t1 @t194 @t176))))) % 0.35/0.78 (define @t197 () (not (tptp.m2_relset_1 @t194 @t10 @t9))) % 0.35/0.78 (define @t198 () (not (tptp.v1_funct_2 @t194 @t10 @t9))) % 0.35/0.78 (define @t199 () (not (tptp.v1_funct_1 @t194))) % 0.35/0.78 (define @t200 () (not @t17)) % 0.35/0.78 (define @t201 () (or @t18 @t200 @t199 @t198 @t197 @t196)) % 0.35/0.78 (define @t202 () (@list @t1 @t194)) % 0.35/0.78 (define @t203 () (forall @t202 @t201)) % 0.35/0.78 (define @t204 () (or @t25 @t156 @t203)) % 0.35/0.78 (define @t205 () (or @t25 @t156)) % 0.35/0.78 (define @t206 () (not @t27)) % 0.35/0.78 (define @t207 () (or @t199 @t198 @t197 @t196)) % 0.35/0.78 (define @t208 () (or @t18 @t200 @t207)) % 0.35/0.78 (define @t209 () (forall @t202 @t208)) % 0.35/0.78 (define @t210 () (@list @t194)) % 0.35/0.78 (define @t211 () (forall @t210 @t208)) % 0.35/0.78 (define @t212 () (forall @t210 @t207)) % 0.35/0.78 (define @t213 () (@list @t3)) % 0.35/0.78 (define @t214 () (or @t18 @t200 @t212)) % 0.35/0.78 (define @t215 () (tptp.r4_waybel_0 @t2 @t1 @t3 @t176)) % 0.35/0.78 (define @t216 () (or @t180 @t179 @t215)) % 0.35/0.78 (define @t217 () (= @t5 (forall @t164 @t216))) % 0.35/0.78 (define @t218 () (not @t11)) % 0.35/0.78 (define @t219 () (not @t12)) % 0.35/0.78 (define @t220 () (not @t13)) % 0.35/0.78 (define @t221 () (or @t220 @t219 @t218 @t217)) % 0.35/0.78 (define @t222 () (forall @t15 @t221)) % 0.35/0.78 (define @t223 () (or @t18 @t200 @t222)) % 0.35/0.78 (define @t224 () (or @t18 @t200)) % 0.35/0.78 (define @t225 () (not @t20)) % 0.35/0.78 (define @t226 () (or @t220 @t219 @t218)) % 0.35/0.78 (define @t227 () (not @t14)) % 0.35/0.78 (define @t228 () (or @t179 @t215)) % 0.35/0.78 (define @t229 () (or @t180 @t228)) % 0.35/0.78 (define @t230 () (forall @t164 @t229)) % 0.35/0.78 (define @t231 () (@list @t145)) % 0.35/0.78 (define @t232 () (forall @t231 @t229)) % 0.35/0.78 (define @t233 () (forall @t231 @t228)) % 0.35/0.78 (define @t234 () (or @t180 @t233)) % 0.35/0.78 (define @t235 () (forall @t95 (or (not @t94) @t93))) % 0.35/0.78 (define @t236 () (@list @t160 @t162 @t161)) % 0.35/0.78 (define @t237 () (or @t155 @t154 @t153 @t152 @t151 @t149 @t148)) % 0.35/0.78 (define @t238 () (or @t25 @t156 @t237)) % 0.35/0.78 (define @t239 () (forall @t158 @t238)) % 0.35/0.78 (define @t240 () (@list @t146 @t147)) % 0.35/0.78 (define @t241 () (forall @t240 @t238)) % 0.35/0.78 (define @t242 () (forall @t240 @t237)) % 0.35/0.78 (define @t243 () (@var "BOUND_VARIABLE_7853" $$unsorted)) % 0.35/0.78 (define @t244 () (or @t25 @t156 @t242)) % 0.35/0.78 (define @t245 () (and (tptp.v20_waybel_0 @t243 @t2 @t1) (tptp.v5_waybel34 @t243 @t2 @t1))) % 0.35/0.78 (define @t246 () (not (tptp.v4_waybel34 @t243 @t2 @t1))) % 0.35/0.78 (define @t247 () (not (tptp.m2_relset_1 @t243 @t10 @t9))) % 0.35/0.78 (define @t248 () (not (tptp.v1_funct_2 @t243 @t10 @t9))) % 0.35/0.78 (define @t249 () (not (tptp.v1_funct_1 @t243))) % 0.35/0.78 (define @t250 () (or @t18 @t200 @t249 @t248 @t247 @t246 @t245)) % 0.35/0.78 (define @t251 () (@list @t1 @t243)) % 0.35/0.78 (define @t252 () (forall @t251 @t250)) % 0.35/0.78 (define @t253 () (or @t25 @t156 @t252)) % 0.35/0.78 (define @t254 () (or @t249 @t248 @t247 @t246 @t245)) % 0.35/0.78 (define @t255 () (or @t18 @t200 @t254)) % 0.35/0.78 (define @t256 () (forall @t251 @t255)) % 0.35/0.78 (define @t257 () (@list @t243)) % 0.35/0.78 (define @t258 () (forall @t257 @t255)) % 0.35/0.78 (define @t259 () (forall @t257 @t254)) % 0.35/0.78 (define @t260 () (or @t18 @t200 @t259)) % 0.35/0.78 (define @t261 () (not @t7)) % 0.35/0.78 (define @t262 () (or @t220 @t219 @t218 @t261 @t6)) % 0.35/0.78 (define @t263 () (forall @t15 @t262)) % 0.35/0.78 (define @t264 () (or @t18 @t200 @t263)) % 0.35/0.78 (define @t265 () (tptp.u1_struct_0 @t162)) % 0.35/0.78 (define @t266 () (tptp.m2_relset_1 @t161 @t163 @t265)) % 0.35/0.78 (define @t267 () (tptp.v5_waybel34 @t161 @t160 @t162)) % 0.35/0.78 (define @t268 () (tptp.v20_waybel_0 @t161 @t160 @t162)) % 0.35/0.78 (define @t269 () (and @t268 @t267)) % 0.35/0.78 (define @t270 () (tptp.v4_waybel34 @t161 @t160 @t162)) % 0.35/0.78 (define @t271 () (not @t270)) % 0.35/0.78 (define @t272 () (not @t266)) % 0.35/0.78 (define @t273 () (tptp.v1_funct_2 @t161 @t163 @t265)) % 0.35/0.78 (define @t274 () (not @t273)) % 0.35/0.78 (define @t275 () (tptp.v1_funct_1 @t161)) % 0.35/0.78 (define @t276 () (not @t275)) % 0.35/0.78 (define @t277 () (tptp.l1_orders_2 @t162)) % 0.35/0.78 (define @t278 () (not @t277)) % 0.35/0.78 (define @t279 () (tptp.v3_struct_0 @t162)) % 0.35/0.78 (define @t280 () (tptp.l1_orders_2 @t160)) % 0.35/0.78 (define @t281 () (not @t280)) % 0.35/0.78 (define @t282 () (tptp.v3_struct_0 @t160)) % 0.35/0.78 (define @t283 () (or @t282 @t281 @t279 @t278 @t276 @t274 @t272 @t271 @t269)) % 0.35/0.78 (define @t284 () (@list true)) % 0.35/0.78 (define @t285 () (@list @t283)) % 0.35/0.78 (define @t286 () (= @t268 @t165)) % 0.35/0.78 (define @t287 () (or @t282 @t281 @t279 @t278 @t276 @t274 @t272 @t286)) % 0.35/0.78 (define @t288 () (@list true false true false false false false false)) % 0.35/0.78 (define @t289 () (@var "BOUND_VARIABLE_8299" $$unsorted)) % 0.35/0.78 (define @t290 () (@var "BOUND_VARIABLE_8297" $$unsorted)) % 0.35/0.78 (define @t291 () (= (tptp.v5_waybel34 @t289 @t2 @t290) (tptp.r4_waybel_0 @t2 @t290 @t289 @t85))) % 0.35/0.78 (define @t292 () (tptp.u1_struct_0 @t290)) % 0.35/0.78 (define @t293 () (not (tptp.m2_relset_1 @t289 @t10 @t292))) % 0.35/0.78 (define @t294 () (not (tptp.v1_funct_2 @t289 @t10 @t292))) % 0.35/0.78 (define @t295 () (not (tptp.v1_funct_1 @t289))) % 0.35/0.78 (define @t296 () (not (tptp.l1_orders_2 @t290))) % 0.35/0.78 (define @t297 () (tptp.v3_struct_0 @t290)) % 0.35/0.78 (define @t298 () (or @t297 @t296 @t295 @t294 @t293 @t291)) % 0.35/0.78 (define @t299 () (or @t25 @t156 @t298)) % 0.35/0.78 (define @t300 () (forall (@list @t2 @t290 @t289) @t299)) % 0.35/0.78 (define @t301 () (@list @t290 @t289)) % 0.35/0.78 (define @t302 () (forall @t301 @t299)) % 0.35/0.78 (define @t303 () (forall @t301 @t298)) % 0.35/0.78 (define @t304 () (@var "BOUND_VARIABLE_8276" $$unsorted)) % 0.35/0.78 (define @t305 () (or @t25 @t156 @t303)) % 0.35/0.78 (define @t306 () (= (tptp.v5_waybel34 @t304 @t2 @t1) (tptp.r4_waybel_0 @t2 @t1 @t304 @t85))) % 0.35/0.78 (define @t307 () (not (tptp.m2_relset_1 @t304 @t10 @t9))) % 0.35/0.78 (define @t308 () (not (tptp.v1_funct_2 @t304 @t10 @t9))) % 0.35/0.78 (define @t309 () (not (tptp.v1_funct_1 @t304))) % 0.35/0.78 (define @t310 () (or @t18 @t200 @t309 @t308 @t307 @t306)) % 0.35/0.78 (define @t311 () (@list @t1 @t304)) % 0.35/0.78 (define @t312 () (forall @t311 @t310)) % 0.35/0.78 (define @t313 () (or @t25 @t156 @t312)) % 0.35/0.78 (define @t314 () (or @t309 @t308 @t307 @t306)) % 0.35/0.78 (define @t315 () (or @t18 @t200 @t314)) % 0.35/0.78 (define @t316 () (forall @t311 @t315)) % 0.35/0.78 (define @t317 () (@list @t304)) % 0.35/0.78 (define @t318 () (forall @t317 @t315)) % 0.35/0.78 (define @t319 () (forall @t317 @t314)) % 0.35/0.78 (define @t320 () (or @t18 @t200 @t319)) % 0.35/0.78 (define @t321 () (or @t220 @t219 @t218 @t86)) % 0.35/0.78 (define @t322 () (forall @t15 @t321)) % 0.35/0.78 (define @t323 () (or @t18 @t200 @t322)) % 0.35/0.78 (define @t324 () (tptp.k1_pre_topc @t160)) % 0.35/0.78 (define @t325 () (tptp.r4_waybel_0 @t160 @t162 @t161 @t324)) % 0.35/0.78 (define @t326 () (= @t267 @t325)) % 0.35/0.78 (define @t327 () (or @t282 @t281 @t279 @t278 @t276 @t274 @t272 @t326)) % 0.35/0.78 (define @t328 () (@var "BOUND_VARIABLE_8246" $$unsorted)) % 0.35/0.78 (define @t329 () (@var "BOUND_VARIABLE_8244" $$unsorted)) % 0.35/0.78 (define @t330 () (not @t73)) % 0.35/0.78 (define @t331 () (not @t74)) % 0.35/0.78 (define @t332 () (= (tptp.v4_waybel34 @t328 @t2 @t329) (forall @t76 (or @t331 @t330 (tptp.r4_waybel_0 @t2 @t329 @t328 @t70))))) % 0.35/0.78 (define @t333 () (tptp.u1_struct_0 @t329)) % 0.35/0.78 (define @t334 () (not (tptp.m2_relset_1 @t328 @t10 @t333))) % 0.35/0.78 (define @t335 () (not (tptp.v1_funct_2 @t328 @t10 @t333))) % 0.35/0.78 (define @t336 () (not (tptp.v1_funct_1 @t328))) % 0.35/0.78 (define @t337 () (not (tptp.l1_orders_2 @t329))) % 0.35/0.78 (define @t338 () (tptp.v3_struct_0 @t329)) % 0.35/0.78 (define @t339 () (or @t338 @t337 @t336 @t335 @t334 @t332)) % 0.35/0.78 (define @t340 () (or @t25 @t156 @t339)) % 0.35/0.78 (define @t341 () (forall (@list @t2 @t329 @t328) @t340)) % 0.35/0.78 (define @t342 () (@list @t329 @t328)) % 0.35/0.78 (define @t343 () (forall @t342 @t340)) % 0.35/0.78 (define @t344 () (forall @t342 @t339)) % 0.35/0.78 (define @t345 () (@var "BOUND_VARIABLE_8221" $$unsorted)) % 0.35/0.78 (define @t346 () (or @t25 @t156 @t344)) % 0.35/0.78 (define @t347 () (= (tptp.v4_waybel34 @t345 @t2 @t1) (forall @t76 (or @t331 @t330 (tptp.r4_waybel_0 @t2 @t1 @t345 @t70))))) % 0.35/0.78 (define @t348 () (not (tptp.m2_relset_1 @t345 @t10 @t9))) % 0.35/0.78 (define @t349 () (not (tptp.v1_funct_2 @t345 @t10 @t9))) % 0.35/0.78 (define @t350 () (not (tptp.v1_funct_1 @t345))) % 0.35/0.78 (define @t351 () (or @t18 @t200 @t350 @t349 @t348 @t347)) % 0.35/0.78 (define @t352 () (@list @t1 @t345)) % 0.35/0.78 (define @t353 () (forall @t352 @t351)) % 0.35/0.78 (define @t354 () (or @t25 @t156 @t353)) % 0.35/0.78 (define @t355 () (or @t350 @t349 @t348 @t347)) % 0.35/0.78 (define @t356 () (or @t18 @t200 @t355)) % 0.35/0.78 (define @t357 () (forall @t352 @t356)) % 0.35/0.78 (define @t358 () (@list @t345)) % 0.35/0.78 (define @t359 () (forall @t358 @t356)) % 0.35/0.78 (define @t360 () (forall @t358 @t355)) % 0.35/0.78 (define @t361 () (or @t18 @t200 @t360)) % 0.35/0.78 (define @t362 () (or @t331 @t330 @t71)) % 0.35/0.78 (define @t363 () (= @t7 (forall @t76 @t362))) % 0.35/0.78 (define @t364 () (or @t220 @t219 @t218 @t363)) % 0.35/0.78 (define @t365 () (forall @t15 @t364)) % 0.35/0.78 (define @t366 () (or @t18 @t200 @t365)) % 0.35/0.78 (define @t367 () (tptp.k1_zfmisc_1 @t163)) % 0.35/0.78 (define @t368 () (forall @t76 (or @t331 (not (tptp.m1_subset_1 @t70 @t367)) (tptp.r4_waybel_0 @t160 @t162 @t161 @t70)))) % 0.35/0.78 (define @t369 () (= @t270 @t368)) % 0.35/0.78 (define @t370 () (or @t282 @t281 @t279 @t278 @t276 @t274 @t272 @t369)) % 0.35/0.78 (define @t371 () (@list false false)) % 0.35/0.78 (define @t372 () (@list @t160)) % 0.35/0.78 (define @t373 () (tptp.v1_finset_1 @t324)) % 0.35/0.78 (define @t374 () (and (tptp.v1_xboole_0 @t324) @t373 (tptp.v5_orders_2 @t324 @t160) (tptp.v1_membered @t324) (tptp.v2_membered @t324) (tptp.v3_membered @t324) (tptp.v4_membered @t324) (tptp.v5_membered @t324) (tptp.v1_waybel_0 @t324 @t160) (tptp.v2_waybel_0 @t324 @t160) (tptp.v12_waybel_0 @t324 @t160) (tptp.v13_waybel_0 @t324 @t160))) % 0.35/0.78 (define @t375 () (or @t281 @t374)) % 0.35/0.78 (define @t376 () (tptp.l1_struct_0 @t160)) % 0.35/0.78 (define @t377 () (or @t281 @t376)) % 0.35/0.78 (define @t378 () (tptp.m1_subset_1 @t324 @t367)) % 0.35/0.78 (define @t379 () (not @t376)) % 0.35/0.78 (define @t380 () (or @t379 @t378)) % 0.35/0.78 (define @t381 () (not @t378)) % 0.35/0.78 (define @t382 () (not @t373)) % 0.35/0.78 (define @t383 () (or @t382 @t381 @t325)) % 0.35/0.78 (define @t384 () (@list true false)) % 0.35/0.78 (define @t385 () (not @t165)) % 0.35/0.78 (define @t386 () (tptp.m1_subset_1 @t166 @t163)) % 0.35/0.78 (define @t387 () (tptp.k2_struct_0 @t160 @t167 @t166)) % 0.35/0.78 (define @t388 () (tptp.r4_waybel_0 @t160 @t162 @t161 @t387)) % 0.35/0.78 (define @t389 () (not @t386)) % 0.35/0.78 (define @t390 () (tptp.m1_subset_1 @t167 @t163)) % 0.35/0.78 (define @t391 () (not @t390)) % 0.35/0.78 (define @t392 () (or @t391 @t389 @t388)) % 0.35/0.78 (define @t393 () (@list @t392)) % 0.35/0.78 (define @t394 () (= @t387 (tptp.k2_tarski @t167 @t166))) % 0.35/0.78 (define @t395 () (or @t282 @t379 @t391 @t389 @t394)) % 0.35/0.78 (define @t396 () (@list true false false false false)) % 0.35/0.78 (define @t397 () (tptp.v1_finset_1 @t387)) % 0.35/0.78 (define @t398 () (tptp.m1_subset_1 @t387 @t367)) % 0.35/0.78 (define @t399 () (or @t282 @t379 @t391 @t389 @t398)) % 0.35/0.78 (define @t400 () (not @t398)) % 0.35/0.78 (define @t401 () (not @t397)) % 0.35/0.78 (define @t402 () (or @t401 @t400 @t388)) % 0.35/0.78 (assume @p1 @t31) % 0.35/0.78 (assume @p2 (forall @t33 (=> @t32 (not (tptp.r2_hidden @t1 @t2))))) % 0.35/0.78 (assume @p3 (forall @t29 (=> @t36 (forall @t22 (=> @t35 @t34))))) % 0.35/0.78 (assume @p4 (forall @t29 (=> @t38 (forall @t22 (=> @t35 (and @t34 @t37)))))) % 0.35/0.78 (assume @p5 (forall @t29 (=> @t40 (forall @t22 (=> @t35 (and @t34 @t37 @t39)))))) % 0.35/0.78 (assume @p6 (forall @t29 (=> @t42 (forall @t22 (=> @t35 (and @t34 @t37 @t41 @t39)))))) % 0.35/0.78 (assume @p7 (forall @t29 (=> @t44 (forall @t22 (=> @t35 (and @t34 @t43 @t37 @t41 @t39)))))) % 0.35/0.78 (assume @p8 (forall @t29 (=> @t45 (and @t36 @t38 @t40 @t42 @t44)))) % 0.35/0.78 (assume @p9 (forall @t29 (=> @t36 (forall @t22 (=> @t47 @t46))))) % 0.35/0.78 (assume @p10 (forall @t29 (=> @t38 (forall @t22 (=> @t47 (and @t46 @t48)))))) % 0.35/0.78 (assume @p11 (forall @t29 (=> @t40 (forall @t22 (=> @t47 (and @t46 @t48 @t49)))))) % 0.35/0.78 (assume @p12 (forall @t29 (=> @t42 (forall @t22 (=> @t47 (and @t46 @t48 @t49 @t50)))))) % 0.35/0.78 (assume @p13 (forall @t29 (=> @t45 @t51))) % 0.35/0.78 (assume @p14 (forall @t29 (=> @t45 @t52))) % 0.35/0.78 (assume @p15 (forall @t29 (=> @t44 @t42))) % 0.35/0.78 (assume @p16 (forall @t55 (=> @t54 (tptp.v1_relat_1 @t3)))) % 0.35/0.78 (assume @p17 (forall @t29 (=> @t59 (forall @t22 (=> @t35 @t57))))) % 0.35/0.78 (assume @p18 (forall @t29 (=> @t44 (forall @t22 (=> @t47 (and @t46 @t48 @t49 @t50 (tptp.v5_membered @t1))))))) % 0.35/0.78 (assume @p19 (forall @t29 (=> @t51 (forall @t22 (=> @t47 @t60))))) % 0.35/0.78 (assume @p20 (forall @t29 (=> @t63 @t62))) % 0.35/0.78 (assume @p21 (forall @t29 (=> @t42 @t40))) % 0.35/0.78 (assume @p22 (forall @t29 (=> @t40 @t38))) % 0.35/0.78 (assume @p23 (forall @t29 (=> @t38 @t36))) % 0.35/0.78 (assume @p24 (forall @t55 (=> @t68 (= @t64 (tptp.k2_struct_0 @t2 @t3 @t1))))) % 0.35/0.78 (assume @p25 (forall @t33 (= @t69 (tptp.k2_tarski @t1 @t2)))) % 0.35/0.78 (assume @p26 @t84) % 0.35/0.78 (assume @p27 @t91) % 0.35/0.78 (assume @p28 (forall @t29 (=> @t67 (= @t85 tptp.k1_xboole_0)))) % 0.35/0.78 (assume @p29 @t106) % 0.35/0.78 (assume @p30 @t108) % 0.35/0.78 (assume @p31 true) % 0.35/0.78 (assume @p32 @t110) % 0.35/0.78 (assume @p33 @t111) % 0.35/0.78 (assume @p34 (forall @t55 (=> @t112 @t54))) % 0.35/0.78 (assume @p35 (exists @t29 @t24)) % 0.35/0.78 (assume @p36 (exists @t29 @t67)) % 0.35/0.78 (assume @p37 (forall @t33 (exists @t15 @t113))) % 0.35/0.78 (assume @p38 (forall @t29 (exists @t22 @t35))) % 0.35/0.78 (assume @p39 (forall @t33 (exists @t15 @t112))) % 0.35/0.78 (assume @p40 (forall @t33 (=> (and (tptp.v1_xcmplx_0 @t2) @t34) @t114))) % 0.35/0.78 (assume @p41 (forall @t33 (=> (and (tptp.v1_xreal_0 @t2) @t37) (and @t114 @t115)))) % 0.35/0.78 (assume @p42 (forall @t33 (=> (and @t51 @t60) (tptp.v1_finset_1 @t53)))) % 0.35/0.78 (assume @p43 (forall @t33 (=> (and (tptp.v1_rat_1 @t2) @t39) (and @t114 @t115 @t116)))) % 0.35/0.78 (assume @p44 (forall @t33 (=> (and (tptp.v1_int_1 @t2) @t41) (and @t114 @t115 @t116 @t117)))) % 0.35/0.78 (assume @p45 (forall @t33 (=> (and (tptp.v4_ordinal2 @t2) @t43) (and @t114 @t115 @t116 @t117 (tptp.v5_membered @t69))))) % 0.35/0.78 (assume @p46 (forall @t29 (=> @t67 (and @t123 @t122 @t121 @t120 @t119 @t118)))) % 0.35/0.78 (assume @p47 (forall @t29 (=> @t124 (not (tptp.v1_xboole_0 @t10))))) % 0.35/0.78 (assume @p48 @t130) % 0.35/0.78 (assume @p49 (forall @t29 (=> @t24 (and @t123 @t127 @t128 @t122 @t121 @t120 @t119 @t118 @t126 @t125)))) % 0.35/0.78 (assume @p50 @t133) % 0.35/0.78 (assume @p51 (forall @t33 (=> (and @t58 @t57) (and @t132 (tptp.v1_setfam_1 @t69))))) % 0.35/0.78 (assume @p52 (and (tptp.v1_xboole_0 tptp.k1_xboole_0) (tptp.v1_membered tptp.k1_xboole_0) (tptp.v2_membered tptp.k1_xboole_0) (tptp.v3_membered tptp.k1_xboole_0) (tptp.v4_membered tptp.k1_xboole_0) (tptp.v5_membered tptp.k1_xboole_0))) % 0.35/0.78 (assume @p53 (exists @t29 (and @t58 @t51))) % 0.35/0.78 (assume @p54 (exists @t29 (and @t61 @t52))) % 0.35/0.78 (assume @p55 (exists @t29 (and @t58 @t36 @t38 @t40 @t42 @t44))) % 0.35/0.78 (assume @p56 (exists @t29 @t59)) % 0.35/0.78 (assume @p57 (forall @t29 (=> @t24 (exists @t22 (and @t134 (tptp.v1_waybel_0 @t1 @t2) (tptp.v2_waybel_0 @t1 @t2)))))) % 0.35/0.78 (assume @p58 (exists @t29 @t63)) % 0.35/0.78 (assume @p59 (forall @t29 (=> @t58 (exists @t22 (and @t47 @t57 @t60))))) % 0.35/0.78 (assume @p60 (exists @t29 @t62)) % 0.35/0.78 (assume @p61 (exists @t29 (and @t67 @t26))) % 0.35/0.78 (assume @p62 (forall @t29 (=> @t124 (exists @t22 (and @t134 @t57))))) % 0.35/0.78 (assume @p63 (forall @t29 (=> @t24 (exists @t22 (and @t134 @t136 @t135))))) % 0.35/0.78 (assume @p64 (forall @t29 (=> @t27 (exists @t22 (and @t134 @t57 @t136 @t135))))) % 0.35/0.78 (assume @p65 @t138) % 0.35/0.78 (assume @p66 (forall @t55 (= @t112 @t113))) % 0.35/0.78 (assume @p67 (forall @t33 (tptp.r1_tarski @t2 @t2))) % 0.35/0.78 (assume @p68 (forall @t33 (=> @t32 @t139))) % 0.35/0.78 (assume @p69 (forall @t33 (=> @t139 (or @t56 @t32)))) % 0.35/0.78 (assume @p70 (forall @t33 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t2 @t1)))) % 0.35/0.78 (assume @p71 (forall @t55 (=> (and @t32 @t140) (tptp.m1_subset_1 @t2 @t3)))) % 0.35/0.78 (assume @p72 (forall @t55 (not (and @t32 @t140 (tptp.v1_xboole_0 @t3))))) % 0.35/0.78 (assume @p73 (forall @t29 (=> @t45 (= @t2 tptp.k1_xboole_0)))) % 0.35/0.78 (assume @p74 (forall @t33 (not (and @t32 @t56)))) % 0.35/0.78 (assume @p75 (forall @t33 (not (and @t45 (not (= @t2 @t1)) @t56)))) % 0.35/0.78 (step @p76 :rule evaluate :args ((= false true))) % 0.35/0.78 (step @p77 :rule alpha_equiv :args (@t141 @t142 (@list (@var "BOUND_VARIABLE_8498" $$unsorted) (@var "BOUND_VARIABLE_8500" $$unsorted)))) % 0.35/0.78 (step @p78 :rule alpha_equiv :args (@t143 @t142 (@list (@var "BOUND_VARIABLE_8489" $$unsorted) (@var "BOUND_VARIABLE_8491" $$unsorted)))) % 0.35/0.78 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t144)) % 0.35/0.78 (step @p80 :rule quant-miniscope-and :args ((= @t133 @t144))) % 0.35/0.78 (step @p81 :rule trans :premises (@p80 @p79)) % 0.35/0.78 (step @p82 :rule eq_resolve :premises (@p50 @p81)) % 0.35/0.78 (step @p83 :rule and_elim :premises (@p82) :args (1)) % 0.35/0.78 (step @p84 :rule instantiate :premises (@p83) :args ((@list @t167 @t166))) % 0.35/0.78 (step @p85 :rule true_intro :premises (@p84)) % 0.35/0.78 (step @p86 :rule aci_norm :args ((= (or @t171 @t137) (or @t25 @t170 @t169 @t168 @t137)))) % 0.35/0.78 (step @p87 :rule refl :args (@t137)) % 0.35/0.78 (step @p88 :rule refl :args (@t168)) % 0.35/0.78 (step @p89 :rule refl :args (@t169)) % 0.35/0.78 (step @p90 :rule refl :args (@t170)) % 0.35/0.78 (step @p91 :rule bool-double-not-elim :args (@t25)) % 0.35/0.78 (step @p92 :rule nary_cong :premises (@p91 @p90 @p89 @p88) :args (@t173)) % 0.35/0.78 (step @p93 :rule aci_norm :args ((= (or @t172 (or @t170 (or @t169 @t168))) @t173))) % 0.35/0.78 (step @p94 :rule trans :premises (@p93 @p92)) % 0.35/0.78 (step @p95 :rule bool-and-de-morgan :args (@t66 @t65 true)) % 0.35/0.78 (step @p96 :rule nary_cong :premises (@p90 @p95) :args ((or @t170 (not (and @t66 @t65))))) % 0.35/0.78 (step @p97 :rule bool-and-de-morgan :args (@t67 @t66 (and @t65))) % 0.35/0.78 (step @p98 :rule trans :premises (@p97 @p96)) % 0.35/0.78 (step @p99 :rule refl :args (@t172)) % 0.35/0.78 (step @p100 :rule nary_cong :premises (@p99 @p98) :args ((or @t172 (not (and @t67 @t66 @t65))))) % 0.35/0.78 (step @p101 :rule bool-and-de-morgan :args (@t26 @t67 (and @t66 @t65))) % 0.35/0.78 (step @p102 :rule trans :premises (@p101 @p100)) % 0.35/0.78 (step @p103 :rule trans :premises (@p102 @p94)) % 0.35/0.78 (step @p104 :rule nary_cong :premises (@p103 @p87) :args ((or @t174 @t137))) % 0.35/0.78 (step @p105 :rule trans :premises (@p104 @p86)) % 0.35/0.78 (step @p106 :rule bool-impl-elim :args (@t68 @t137)) % 0.35/0.78 (step @p107 :rule trans :premises (@p106 @p105)) % 0.35/0.78 (step @p108 :rule cong :premises (@p107) :args (@t138)) % 0.35/0.78 (step @p109 :rule eq_resolve :premises (@p65 @p108)) % 0.35/0.78 (step @p110 :rule instantiate :premises (@p109) :args (@t175)) % 0.35/0.78 (step @p111 :rule aci_norm :args ((= @t189 (or @t25 @t156 @t187 @t186 @t185 @t184 @t183 @t181)))) % 0.35/0.78 (step @p112 :rule cong :premises (@p111) :args (@t190)) % 0.35/0.78 (step @p113 :rule quant-merge-prenex :args ((= (forall @t29 @t192) @t190))) % 0.35/0.78 (step @p114 :rule alpha_equiv :args (@t193 (@list @t178 @t177) (@list @t1 @t194))) % 0.35/0.78 (step @p115 :rule refl :args (@t156)) % 0.35/0.78 (step @p116 :rule refl :args (@t25)) % 0.35/0.78 (step @p117 :rule nary_cong :premises (@p116 @p115 @p114) :args (@t195)) % 0.35/0.78 (step @p118 :rule quant-miniscope-or :args ((= @t192 @t195))) % 0.35/0.78 (step @p119 :rule trans :premises (@p118 @p117)) % 0.35/0.78 (step @p120 :rule symm :premises (@p119)) % 0.35/0.78 (step @p121 :rule cong :premises (@p120) :args ((forall @t29 @t204))) % 0.35/0.78 (step @p122 :rule trans :premises (@p121 @p113)) % 0.35/0.78 (step @p123 :rule trans :premises (@p122 @p112)) % 0.35/0.78 (step @p124 :rule aci_norm :args ((= (or @t205 @t203) @t204))) % 0.35/0.78 (step @p125 :rule refl :args (@t203)) % 0.35/0.78 (step @p126 :rule nary_cong :premises (@p91 @p115) :args ((or @t172 @t156))) % 0.35/0.78 (step @p127 :rule bool-and-de-morgan :args (@t26 @t24 true)) % 0.35/0.78 (step @p128 :rule trans :premises (@p127 @p126)) % 0.35/0.78 (step @p129 :rule nary_cong :premises (@p128 @p125) :args ((or @t206 @t203))) % 0.35/0.78 (step @p130 :rule trans :premises (@p129 @p124)) % 0.35/0.78 (step @p131 :rule bool-impl-elim :args (@t27 @t203)) % 0.35/0.78 (step @p132 :rule trans :premises (@p131 @p130)) % 0.35/0.78 (step @p133 :rule cong :premises (@p132) :args ((forall @t29 (=> @t27 @t203)))) % 0.35/0.78 (step @p134 :rule trans :premises (@p133 @p123)) % 0.35/0.78 (step @p135 :rule aci_norm :args ((= @t208 @t201))) % 0.35/0.78 (step @p136 :rule cong :premises (@p135) :args (@t209)) % 0.35/0.78 (step @p137 :rule quant-merge-prenex :args ((= (forall @t22 @t211) @t209))) % 0.35/0.78 (step @p138 :rule alpha_equiv :args (@t212 (@list @t194) @t213)) % 0.35/0.78 (step @p139 :rule refl :args (@t200)) % 0.35/0.78 (step @p140 :rule refl :args (@t18)) % 0.35/0.78 (step @p141 :rule nary_cong :premises (@p140 @p139 @p138) :args (@t214)) % 0.35/0.78 (step @p142 :rule quant-miniscope-or :args ((= @t211 @t214))) % 0.35/0.78 (step @p143 :rule trans :premises (@p142 @p141)) % 0.35/0.78 (step @p144 :rule symm :premises (@p143)) % 0.35/0.78 (step @p145 :rule cong :premises (@p144) :args ((forall @t22 @t223))) % 0.35/0.78 (step @p146 :rule trans :premises (@p145 @p137)) % 0.35/0.78 (step @p147 :rule trans :premises (@p146 @p136)) % 0.35/0.78 (step @p148 :rule aci_norm :args ((= (or @t224 @t222) @t223))) % 0.35/0.78 (step @p149 :rule refl :args (@t222)) % 0.35/0.78 (step @p150 :rule bool-double-not-elim :args (@t18)) % 0.35/0.78 (step @p151 :rule nary_cong :premises (@p150 @p139) :args ((or (not @t19) @t200))) % 0.35/0.78 (step @p152 :rule bool-and-de-morgan :args (@t19 @t17 true)) % 0.35/0.78 (step @p153 :rule trans :premises (@p152 @p151)) % 0.35/0.78 (step @p154 :rule nary_cong :premises (@p153 @p149) :args ((or @t225 @t222))) % 0.35/0.78 (step @p155 :rule trans :premises (@p154 @p148)) % 0.35/0.78 (step @p156 :rule bool-impl-elim :args (@t20 @t222)) % 0.35/0.78 (step @p157 :rule trans :premises (@p156 @p155)) % 0.35/0.78 (step @p158 :rule cong :premises (@p157) :args ((forall @t22 (=> @t20 @t222)))) % 0.35/0.78 (step @p159 :rule trans :premises (@p158 @p147)) % 0.35/0.78 (step @p160 :rule aci_norm :args ((= (or @t226 @t217) @t221))) % 0.35/0.78 (step @p161 :rule refl :args (@t217)) % 0.35/0.78 (step @p162 :rule aci_norm :args ((= (or @t220 (or @t219 @t218)) @t226))) % 0.35/0.78 (step @p163 :rule bool-and-de-morgan :args (@t12 @t11 true)) % 0.35/0.78 (step @p164 :rule refl :args (@t220)) % 0.35/0.78 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or @t220 (not (and @t12 @t11))))) % 0.35/0.78 (step @p166 :rule bool-and-de-morgan :args (@t13 @t12 (and @t11))) % 0.35/0.78 (step @p167 :rule trans :premises (@p166 @p165)) % 0.35/0.78 (step @p168 :rule trans :premises (@p167 @p162)) % 0.35/0.78 (step @p169 :rule nary_cong :premises (@p168 @p161) :args ((or @t227 @t217))) % 0.35/0.78 (step @p170 :rule trans :premises (@p169 @p160)) % 0.35/0.78 (step @p171 :rule bool-impl-elim :args (@t14 @t217)) % 0.35/0.78 (step @p172 :rule trans :premises (@p171 @p170)) % 0.35/0.78 (step @p173 :rule cong :premises (@p172) :args ((forall @t15 (=> @t14 @t217)))) % 0.35/0.78 (step @p174 :rule aci_norm :args ((= @t229 @t216))) % 0.35/0.78 (step @p175 :rule cong :premises (@p174) :args (@t230)) % 0.35/0.78 (step @p176 :rule quant-merge-prenex :args ((= (forall @t76 @t232) @t230))) % 0.35/0.78 (step @p177 :rule alpha_equiv :args (@t233 (@list @t145) (@list @t92))) % 0.35/0.78 (step @p178 :rule refl :args (@t180)) % 0.35/0.78 (step @p179 :rule nary_cong :premises (@p178 @p177) :args (@t234)) % 0.35/0.78 (step @p180 :rule quant-miniscope-or :args ((= @t232 @t234))) % 0.35/0.78 (step @p181 :rule trans :premises (@p180 @p179)) % 0.35/0.78 (step @p182 :rule symm :premises (@p181)) % 0.35/0.78 (step @p183 :rule cong :premises (@p182) :args ((forall @t76 (or @t180 @t235)))) % 0.35/0.78 (step @p184 :rule trans :premises (@p183 @p176)) % 0.35/0.78 (step @p185 :rule trans :premises (@p184 @p175)) % 0.35/0.78 (step @p186 :rule bool-impl-elim :args (@t97 @t235)) % 0.35/0.78 (step @p187 :rule cong :premises (@p186) :args ((forall @t76 (=> @t97 @t235)))) % 0.35/0.78 (step @p188 :rule trans :premises (@p187 @p185)) % 0.35/0.78 (step @p189 :rule bool-impl-elim :args (@t94 @t93)) % 0.35/0.78 (step @p190 :rule cong :premises (@p189) :args (@t96)) % 0.35/0.78 (step @p191 :rule refl :args (@t97)) % 0.35/0.78 (step @p192 :rule cong :premises (@p191 @p190) :args (@t98)) % 0.35/0.78 (step @p193 :rule cong :premises (@p192) :args (@t99)) % 0.35/0.78 (step @p194 :rule trans :premises (@p193 @p188)) % 0.35/0.78 (step @p195 :rule refl :args (@t5)) % 0.35/0.78 (step @p196 :rule cong :premises (@p195 @p194) :args (@t100)) % 0.35/0.78 (step @p197 :rule refl :args (@t14)) % 0.35/0.78 (step @p198 :rule cong :premises (@p197 @p196) :args (@t101)) % 0.35/0.78 (step @p199 :rule cong :premises (@p198) :args (@t102)) % 0.35/0.78 (step @p200 :rule trans :premises (@p199 @p173)) % 0.35/0.78 (step @p201 :rule refl :args (@t20)) % 0.35/0.78 (step @p202 :rule cong :premises (@p201 @p200) :args (@t103)) % 0.35/0.78 (step @p203 :rule cong :premises (@p202) :args (@t104)) % 0.35/0.78 (step @p204 :rule trans :premises (@p203 @p159)) % 0.35/0.78 (step @p205 :rule refl :args (@t27)) % 0.35/0.78 (step @p206 :rule cong :premises (@p205 @p204) :args (@t105)) % 0.35/0.78 (step @p207 :rule cong :premises (@p206) :args (@t106)) % 0.35/0.78 (step @p208 :rule 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0.35/0.78 (step @p450 :rule eq_resolve :premises (@p30 @p449)) % 0.35/0.78 (step @p451 :rule instantiate :premises (@p450) :args (@t372)) % 0.35/0.78 (step @p452 :rule bool-impl-elim :args (@t24 @t67)) % 0.35/0.78 (step @p453 :rule cong :premises (@p452) :args (@t111)) % 0.35/0.78 (step @p454 :rule eq_resolve :premises (@p33 @p453)) % 0.35/0.78 (step @p455 :rule instantiate :premises (@p454) :args (@t372)) % 0.35/0.78 (step @p456 :rule cnf_or_pos :args (@t377)) % 0.35/0.78 (step @p457 :rule reordering :premises (@p456) :args ((or @t281 @t376 (not @t377)))) % 0.35/0.78 (step @p458 :rule chain_m_resolution :premises (@p457 @p297 @p455) :args (@t376 @t371 (@list @t280 @t377))) % 0.35/0.78 (step @p459 :rule cnf_or_pos :args (@t380)) % 0.35/0.78 (step @p460 :rule reordering :premises (@p459) :args ((or @t379 @t378 (not @t380)))) % 0.35/0.79 (step @p461 :rule chain_m_resolution :premises (@p460 @p458 @p451) :args (@t378 @t371 (@list @t376 @t380))) % 0.35/0.79 (step @p462 :rule cnf_or_pos :args (@t383)) % 0.35/0.79 (step @p463 :rule reordering :premises (@p462) :args ((or @t325 @t381 @t382 (not @t383)))) % 0.35/0.79 (step @p464 :rule chain_m_resolution :premises (@p463 @p461 @p447 @p437) :args (@t325 (@list false false false) (@list @t378 @t373 @t383))) % 0.35/0.79 (step @p465 :rule cnf_equiv_pos2 :args (@t326)) % 0.35/0.79 (step @p466 :rule reordering :premises (@p465) :args ((or @t267 (not @t325) (not @t326)))) % 0.35/0.79 (step @p467 :rule chain_m_resolution :premises (@p466 @p464 @p358) :args (@t267 @t371 (@list @t325 @t326))) % 0.35/0.79 (step @p468 :rule cnf_or_neg :args (@t283 8)) % 0.35/0.79 (step @p469 :rule chain_m_resolution :premises (@p468 @p264) :args ((not @t269) @t284 @t285)) % 0.35/0.79 (step @p470 :rule cnf_and_neg :args (@t269)) % 0.35/0.79 (step @p471 :rule chain_m_resolution :premises (@p470 @p469 @p467) :args ((not @t268) @t384 (@list @t269 @t267))) % 0.35/0.79 (step @p472 :rule cnf_equiv_pos2 :args (@t286)) % 0.35/0.79 (step @p473 :rule reordering :premises (@p472) :args ((or @t268 @t385 (not @t286)))) % 0.35/0.79 (step @p474 :rule chain_m_resolution :premises (@p473 @p471 @p302) :args (@t385 @t384 (@list @t268 @t286))) % 0.35/0.79 (step @p475 :rule skolemize :premises (@p474)) % 0.35/0.79 (step @p476 :rule bool-double-not-elim :args (@t386)) % 0.35/0.79 (step @p477 :rule refl :args (@t392)) % 0.35/0.79 (step @p478 :rule nary_cong :premises (@p477 @p476) :args ((or @t392 (not @t389)))) % 0.35/0.79 (step @p479 :rule cnf_or_neg :args (@t392 1)) % 0.35/0.79 (step @p480 :rule eq_resolve :premises (@p479 @p478)) % 0.35/0.79 (step @p481 :rule reordering :premises (@p480) :args ((or @t386 @t392))) % 0.35/0.79 (step @p482 :rule chain_m_resolution :premises (@p481 @p475) :args (@t386 @t284 @t393)) % 0.35/0.79 (step @p483 :rule bool-double-not-elim :args (@t390)) % 0.35/0.79 (step @p484 :rule nary_cong :premises (@p477 @p483) :args ((or @t392 (not @t391)))) % 0.35/0.79 (step @p485 :rule cnf_or_neg :args (@t392 0)) % 0.35/0.79 (step @p486 :rule eq_resolve :premises (@p485 @p484)) % 0.35/0.79 (step @p487 :rule reordering :premises (@p486) :args ((or @t390 @t392))) % 0.35/0.79 (step @p488 :rule chain_m_resolution :premises (@p487 @p475) :args (@t390 @t284 @t393)) % 0.35/0.79 (step @p489 :rule cnf_or_pos :args (@t395)) % 0.35/0.79 (step @p490 :rule reordering :premises (@p489) :args ((or @t282 @t379 @t391 @t389 @t394 (not @t395)))) % 0.35/0.79 (step @p491 :rule chain_m_resolution :premises (@p490 @p299 @p458 @p488 @p482 @p110) :args (@t394 @t396 (@list @t282 @t376 @t390 @t386 @t395))) % 0.35/0.79 (step @p492 :rule cong :premises (@p491) :args (@t397)) % 0.35/0.79 (step @p493 :rule instantiate :premises (@p436) :args ((@list @t387))) % 0.35/0.79 (step @p494 :rule aci_norm :args ((= (or @t171 @t109) (or @t25 @t170 @t169 @t168 @t109)))) % 0.35/0.79 (step @p495 :rule refl :args (@t109)) % 0.35/0.79 (step @p496 :rule nary_cong :premises (@p103 @p495) :args ((or @t174 @t109))) % 0.35/0.79 (step @p497 :rule trans :premises (@p496 @p494)) % 0.35/0.79 (step @p498 :rule bool-impl-elim :args (@t68 @t109)) % 0.35/0.79 (step @p499 :rule trans :premises (@p498 @p497)) % 0.35/0.79 (step @p500 :rule cong :premises (@p499) :args (@t110)) % 0.35/0.79 (step @p501 :rule eq_resolve :premises (@p32 @p500)) % 0.35/0.79 (step @p502 :rule instantiate :premises (@p501) :args (@t175)) % 0.35/0.79 (step @p503 :rule cnf_or_pos :args (@t399)) % 0.35/0.79 (step @p504 :rule reordering :premises (@p503) :args ((or @t282 @t379 @t391 @t389 @t398 (not @t399)))) % 0.35/0.79 (step @p505 :rule chain_m_resolution :premises (@p504 @p299 @p458 @p488 @p482 @p502) :args (@t398 @t396 (@list @t282 @t376 @t390 @t386 @t399))) % 0.35/0.79 (step @p506 :rule cnf_or_neg :args (@t392 2)) % 0.35/0.79 (step @p507 :rule chain_m_resolution :premises (@p506 @p475) :args ((not @t388) @t284 @t393)) % 0.35/0.79 (step @p508 :rule cnf_or_pos :args (@t402)) % 0.35/0.79 (step @p509 :rule reordering :premises (@p508) :args ((or @t388 @t401 @t400 (not @t402)))) % 0.35/0.79 (step @p510 :rule chain_m_resolution :premises (@p509 @p507 @p505 @p493) :args (@t401 (@list true false false) (@list @t388 @t398 @t402))) % 0.35/0.79 (step @p511 :rule false_intro :premises (@p510)) % 0.35/0.79 (step @p512 :rule symm :premises (@p511)) % 0.35/0.79 (step @p513 :rule trans :premises (@p512 @p492 @p85)) % 0.35/0.79 (step @p514 false :rule eq_resolve :premises (@p513 @p76)) % 0.35/0.79 ) % 0.35/0.79 % SZS output end Proof % 0.35/0.79 % cvc5 exiting %------------------------------------------------------------------------------