%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT351+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 : n004.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 08:30:26 AM UTC 2026 % Result : Theorem 0.36s 0.89s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT351+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 % 0.15/0.34 % Computer : n004.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 06:44:07 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.89 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.89 % SZS status Theorem % 0.36/0.89 % SZS output start Proof % 0.36/0.89 ( % 0.36/0.89 (declare-sort $$unsorted 0) % 0.36/0.89 (declare-const tptp.v2_waybel_1 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.v11_waybel_1 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.v2_waybel_0 (-> $$unsorted $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.k1_waybel22 (-> $$unsorted $$unsorted)) % 0.36/0.89 (declare-const tptp.v10_waybel_1 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.a_1_1_waybel_0 (-> $$unsorted $$unsorted)) % 0.36/0.89 (declare-const tptp.k1_struct_0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.89 (declare-const tptp.v16_waybel_0 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted)) % 0.36/0.89 (declare-const tptp.a_1_0_waybel22 (-> $$unsorted $$unsorted)) % 0.36/0.89 (declare-const tptp.v3_waybel_8 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.k7_waybel_0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.89 (declare-const tptp.v1_waybel_8 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.v3_realset2 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.v1_waybel_5 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.v2_waybel_8 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.v2_waybel_3 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.k5_waybel_0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.89 (declare-const tptp.v1_setfam_1 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.v13_waybel_0 (-> $$unsorted $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.36/0.89 (declare-const tptp.v1_lattice3 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.v25_waybel_0 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.v2_lattice3 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.v1_card_1 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.v3_lattice3 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.v1_orders_2 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.l1_orders_2 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.u1_orders_2 (-> $$unsorted $$unsorted)) % 0.36/0.89 (declare-const tptp.v4_orders_2 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.v24_waybel_0 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.r5_waybel_1 (-> $$unsorted $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.v1_yellow_0 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.v9_waybel_1 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.v3_orders_2 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.k2_yellow_1 (-> $$unsorted $$unsorted)) % 0.36/0.89 (declare-const tptp.k9_waybel_0 (-> $$unsorted $$unsorted)) % 0.36/0.89 (declare-const tptp.r1_waybel22 (-> $$unsorted $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.g1_orders_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.89 (declare-const tptp.v2_orders_2 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.v3_waybel_3 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.36/0.89 (declare-const tptp.v3_yellow_0 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.36/0.89 (declare-const tptp.v2_yellow_0 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.k3_yellow_1 (-> $$unsorted $$unsorted)) % 0.36/0.89 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.k1_card_1 (-> $$unsorted $$unsorted)) % 0.36/0.89 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.36/0.89 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.89 (define @t1 () (@var "A" $$unsorted)) % 0.36/0.89 (define @t2 () (tptp.k3_yellow_1 @t1)) % 0.36/0.89 (define @t3 () (tptp.k2_yellow_1 (tptp.k9_waybel_0 @t2))) % 0.36/0.89 (define @t4 () (@var "B" $$unsorted)) % 0.36/0.89 (define @t5 () (tptp.r5_waybel_1 @t4 @t3)) % 0.36/0.89 (define @t6 () (tptp.k1_card_1 @t1)) % 0.36/0.89 (define @t7 () (@var "C" $$unsorted)) % 0.36/0.89 (define @t8 () (tptp.k1_card_1 @t7)) % 0.36/0.89 (define @t9 () (= @t8 @t6)) % 0.36/0.89 (define @t10 () (tptp.r1_waybel22 @t4 @t7)) % 0.36/0.89 (define @t11 () (and @t10 @t9)) % 0.36/0.89 (define @t12 () (@list @t7)) % 0.36/0.89 (define @t13 () (forall @t12 (=> @t11 @t5))) % 0.36/0.89 (define @t14 () (tptp.l1_orders_2 @t4)) % 0.36/0.89 (define @t15 () (tptp.v3_waybel_3 @t4)) % 0.36/0.89 (define @t16 () (tptp.v3_lattice3 @t4)) % 0.36/0.89 (define @t17 () (tptp.v2_lattice3 @t4)) % 0.36/0.89 (define @t18 () (tptp.v1_lattice3 @t4)) % 0.36/0.89 (define @t19 () (tptp.v4_orders_2 @t4)) % 0.36/0.89 (define @t20 () (tptp.v3_orders_2 @t4)) % 0.36/0.89 (define @t21 () (tptp.v2_orders_2 @t4)) % 0.36/0.89 (define @t22 () (and @t21 @t20 @t19 @t18 @t17 @t16 @t15 @t14)) % 0.36/0.89 (define @t23 () (=> @t22 @t13)) % 0.36/0.89 (define @t24 () (@list @t1 @t4)) % 0.36/0.89 (define @t25 () (forall @t24 @t23)) % 0.36/0.89 (define @t26 () (not @t25)) % 0.36/0.89 (define @t27 () (tptp.u1_orders_2 @t1)) % 0.36/0.89 (define @t28 () (tptp.u1_struct_0 @t1)) % 0.36/0.89 (define @t29 () (tptp.g1_orders_2 @t28 @t27)) % 0.36/0.89 (define @t30 () (tptp.v1_orders_2 @t1)) % 0.36/0.89 (define @t31 () (tptp.l1_orders_2 @t1)) % 0.36/0.89 (define @t32 () (@list @t1)) % 0.36/0.89 (define @t33 () (tptp.r2_hidden @t1 @t4)) % 0.36/0.89 (define @t34 () (tptp.v25_waybel_0 @t1)) % 0.36/0.89 (define @t35 () (tptp.v24_waybel_0 @t1)) % 0.36/0.89 (define @t36 () (tptp.v2_orders_2 @t1)) % 0.36/0.89 (define @t37 () (tptp.v3_struct_0 @t1)) % 0.36/0.89 (define @t38 () (not @t37)) % 0.36/0.89 (define @t39 () (tptp.v3_lattice3 @t1)) % 0.36/0.89 (define @t40 () (tptp.v1_yellow_0 @t1)) % 0.36/0.89 (define @t41 () (tptp.v3_yellow_0 @t1)) % 0.36/0.89 (define @t42 () (tptp.v2_yellow_0 @t1)) % 0.36/0.89 (define @t43 () (tptp.v2_lattice3 @t1)) % 0.36/0.89 (define @t44 () (tptp.v1_lattice3 @t1)) % 0.36/0.89 (define @t45 () (tptp.v4_orders_2 @t1)) % 0.36/0.89 (define @t46 () (tptp.v3_orders_2 @t1)) % 0.36/0.89 (define @t47 () (tptp.v1_funct_1 @t1)) % 0.36/0.89 (define @t48 () (tptp.v1_xboole_0 @t1)) % 0.36/0.89 (define @t49 () (tptp.k2_zfmisc_1 @t1 @t4)) % 0.36/0.89 (define @t50 () (tptp.m1_subset_1 @t7 (tptp.k1_zfmisc_1 @t49))) % 0.36/0.89 (define @t51 () (@list @t1 @t4 @t7)) % 0.36/0.89 (define @t52 () (tptp.v1_xboole_0 @t4)) % 0.36/0.89 (define @t53 () (not @t52)) % 0.36/0.89 (define @t54 () (tptp.m1_subset_1 @t4 @t1)) % 0.36/0.89 (define @t55 () (@list @t4)) % 0.36/0.89 (define @t56 () (not @t48)) % 0.36/0.89 (define @t57 () (and @t56 (tptp.v1_setfam_1 @t1))) % 0.36/0.89 (define @t58 () (tptp.k9_waybel_0 @t1)) % 0.36/0.89 (define @t59 () (tptp.k2_yellow_1 @t58)) % 0.36/0.89 (define @t60 () (and @t38 @t36 @t46 @t45 @t42 @t31)) % 0.36/0.89 (define @t61 () (tptp.v3_waybel_3 @t1)) % 0.36/0.89 (define @t62 () (tptp.v2_waybel_3 @t1)) % 0.36/0.89 (define @t63 () (tptp.v2_waybel_8 @t1)) % 0.36/0.89 (define @t64 () (and @t38 @t39)) % 0.36/0.89 (define @t65 () (tptp.v1_waybel_5 @t1)) % 0.36/0.89 (define @t66 () (tptp.v1_relat_1 @t1)) % 0.36/0.89 (define @t67 () (and @t66 @t47 (tptp.v2_funct_1 @t1))) % 0.36/0.89 (define @t68 () (and @t66 @t48 @t47)) % 0.36/0.89 (define @t69 () (tptp.v3_realset2 @t1)) % 0.36/0.89 (define @t70 () (tptp.v1_waybel_8 @t1)) % 0.36/0.89 (define @t71 () (and @t38 @t36 @t69)) % 0.36/0.89 (define @t72 () (and @t36 @t46 @t45 @t44 @t43 @t65)) % 0.36/0.89 (define @t73 () (tptp.v3_waybel_8 @t1)) % 0.36/0.89 (define @t74 () (tptp.v9_waybel_1 @t1)) % 0.36/0.89 (define @t75 () (and @t40 @t42)) % 0.36/0.89 (define @t76 () (tptp.v16_waybel_0 @t1)) % 0.36/0.89 (define @t77 () (tptp.k1_struct_0 @t1 @t4)) % 0.36/0.89 (define @t78 () (tptp.k7_waybel_0 @t1 @t4)) % 0.36/0.89 (define @t79 () (tptp.m1_subset_1 @t4 @t28)) % 0.36/0.89 (define @t80 () (and @t38 @t31)) % 0.36/0.89 (define @t81 () (and @t38 @t36 @t46 @t31)) % 0.36/0.89 (define @t82 () (tptp.k1_waybel22 @t1)) % 0.36/0.89 (define @t83 () (tptp.g1_orders_2 @t1 @t4)) % 0.36/0.89 (define @t84 () (tptp.m1_relset_1 @t4 @t1 @t1)) % 0.36/0.89 (define @t85 () (tptp.k1_zfmisc_1 @t28)) % 0.36/0.89 (define @t86 () (tptp.l1_struct_0 @t1)) % 0.36/0.89 (define @t87 () (and @t38 @t86 @t79)) % 0.36/0.89 (define @t88 () (tptp.k2_yellow_1 @t1)) % 0.36/0.89 (define @t89 () (tptp.l1_orders_2 @t88)) % 0.36/0.89 (define @t90 () (tptp.v1_orders_2 @t88)) % 0.36/0.89 (define @t91 () (forall @t32 (and @t90 @t89))) % 0.36/0.89 (define @t92 () (tptp.l1_orders_2 @t2)) % 0.36/0.89 (define @t93 () (tptp.v1_orders_2 @t2)) % 0.36/0.89 (define @t94 () (forall @t32 (and @t93 @t92))) % 0.36/0.89 (define @t95 () (tptp.k5_waybel_0 @t1 @t4)) % 0.36/0.89 (define @t96 () (tptp.m1_subset_1 @t4 @t85)) % 0.36/0.89 (define @t97 () (tptp.m2_relset_1 @t7 @t1 @t4)) % 0.36/0.89 (define @t98 () (tptp.m1_relset_1 @t7 @t1 @t4)) % 0.36/0.89 (define @t99 () (tptp.v24_waybel_0 @t29)) % 0.36/0.89 (define @t100 () (tptp.v2_orders_2 @t29)) % 0.36/0.89 (define @t101 () (tptp.v1_orders_2 @t29)) % 0.36/0.89 (define @t102 () (not (tptp.v3_struct_0 @t29))) % 0.36/0.89 (define @t103 () (tptp.v2_waybel_8 @t29)) % 0.36/0.89 (define @t104 () (tptp.v1_waybel_8 @t29)) % 0.36/0.89 (define @t105 () (tptp.v4_orders_2 @t29)) % 0.36/0.89 (define @t106 () (tptp.v13_waybel_0 @t95 @t1)) % 0.36/0.89 (define @t107 () (tptp.v2_lattice3 @t29)) % 0.36/0.89 (define @t108 () (tptp.v1_lattice3 @t29)) % 0.36/0.89 (define @t109 () (tptp.v3_orders_2 @t29)) % 0.36/0.89 (define @t110 () (tptp.v2_waybel_8 @t2)) % 0.36/0.89 (define @t111 () (tptp.v1_waybel_8 @t2)) % 0.36/0.89 (define @t112 () (tptp.v3_waybel_3 @t2)) % 0.36/0.89 (define @t113 () (tptp.v2_waybel_3 @t2)) % 0.36/0.89 (define @t114 () (tptp.v11_waybel_1 @t2)) % 0.36/0.89 (define @t115 () (tptp.v10_waybel_1 @t2)) % 0.36/0.89 (define @t116 () (tptp.v9_waybel_1 @t2)) % 0.36/0.89 (define @t117 () (tptp.v2_waybel_1 @t2)) % 0.36/0.89 (define @t118 () (tptp.v25_waybel_0 @t2)) % 0.36/0.89 (define @t119 () (tptp.v24_waybel_0 @t2)) % 0.36/0.89 (define @t120 () (tptp.v3_yellow_0 @t2)) % 0.36/0.89 (define @t121 () (tptp.v2_yellow_0 @t2)) % 0.36/0.89 (define @t122 () (tptp.v1_yellow_0 @t2)) % 0.36/0.89 (define @t123 () (tptp.v3_lattice3 @t2)) % 0.36/0.89 (define @t124 () (tptp.v2_lattice3 @t2)) % 0.36/0.89 (define @t125 () (tptp.v1_lattice3 @t2)) % 0.36/0.89 (define @t126 () (tptp.v4_orders_2 @t2)) % 0.36/0.89 (define @t127 () (tptp.v3_orders_2 @t2)) % 0.36/0.89 (define @t128 () (tptp.v2_orders_2 @t2)) % 0.36/0.89 (define @t129 () (not (tptp.v3_struct_0 @t2))) % 0.36/0.89 (define @t130 () (forall @t32 (and @t129 @t93 @t128 @t127 @t126 @t125 @t124 @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t112 @t111 @t110))) % 0.36/0.89 (define @t131 () (tptp.v2_waybel_0 @t4 @t1)) % 0.36/0.89 (define @t132 () (and @t38 @t86)) % 0.36/0.89 (define @t133 () (tptp.k1_zfmisc_1 @t1)) % 0.36/0.89 (define @t134 () (tptp.v3_lattice3 @t59)) % 0.36/0.89 (define @t135 () (tptp.v2_lattice3 @t59)) % 0.36/0.89 (define @t136 () (tptp.v25_waybel_0 @t59)) % 0.36/0.89 (define @t137 () (tptp.v24_waybel_0 @t59)) % 0.36/0.89 (define @t138 () (tptp.v1_yellow_0 @t59)) % 0.36/0.89 (define @t139 () (tptp.v4_orders_2 @t59)) % 0.36/0.89 (define @t140 () (tptp.v3_orders_2 @t59)) % 0.36/0.89 (define @t141 () (tptp.v2_orders_2 @t59)) % 0.36/0.89 (define @t142 () (tptp.v1_orders_2 @t59)) % 0.36/0.89 (define @t143 () (not (tptp.v3_struct_0 @t59))) % 0.36/0.89 (define @t144 () (and @t143 @t142 @t141 @t140 @t139 @t138 (tptp.v2_yellow_0 @t59) (tptp.v3_yellow_0 @t59) @t137 @t136 (tptp.v1_lattice3 @t59) @t135 @t134 (tptp.v3_waybel_3 @t59))) % 0.36/0.89 (define @t145 () (and @t38 @t36 @t46 @t45 @t42 @t43 @t31)) % 0.36/0.89 (define @t146 () (forall @t32 (=> @t145 @t144))) % 0.36/0.89 (define @t147 () (tptp.k1_tarski @t1)) % 0.36/0.89 (define @t148 () (tptp.g1_orders_2 @t147 @t4)) % 0.36/0.89 (define @t149 () (not (tptp.v1_xboole_0 @t147))) % 0.36/0.89 (define @t150 () (and @t43 @t31)) % 0.36/0.89 (define @t151 () (@var "D" $$unsorted)) % 0.36/0.89 (define @t152 () (tptp.k3_yellow_1 @t4)) % 0.36/0.89 (define @t153 () (= @t1 @t7)) % 0.36/0.89 (define @t154 () (tptp.v1_xboole_0 @t7)) % 0.36/0.89 (define @t155 () (@list @t7 @t151)) % 0.36/0.89 (define @t156 () (tptp.m1_subset_1 @t4 @t133)) % 0.36/0.89 (define @t157 () (tptp.k1_card_1 @t82)) % 0.36/0.89 (define @t158 () (forall @t32 (= @t157 @t6))) % 0.36/0.89 (define @t159 () (tptp.r5_waybel_1 @t1 @t4)) % 0.36/0.89 (define @t160 () (= @t8 (tptp.k1_card_1 @t151))) % 0.36/0.89 (define @t161 () (tptp.r1_waybel22 @t4 @t151)) % 0.36/0.89 (define @t162 () (tptp.r1_waybel22 @t1 @t7)) % 0.36/0.89 (define @t163 () (and @t162 @t161 @t160)) % 0.36/0.89 (define @t164 () (forall @t155 (=> @t163 @t159))) % 0.36/0.89 (define @t165 () (=> @t22 @t164)) % 0.36/0.89 (define @t166 () (forall @t55 @t165)) % 0.36/0.89 (define @t167 () (and @t36 @t46 @t45 @t44 @t43 @t39 @t61 @t31)) % 0.36/0.89 (define @t168 () (=> @t167 @t166)) % 0.36/0.89 (define @t169 () (forall @t32 @t168)) % 0.36/0.89 (define @t170 () (tptp.m1_subset_1 @t1 @t4)) % 0.36/0.89 (define @t171 () (= @t1 @t4)) % 0.36/0.89 (define @t172 () (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t7))) % 0.36/0.89 (define @t173 () (@var "BOUND_VARIABLE_8083" $$unsorted)) % 0.36/0.89 (define @t174 () (tptp.k1_card_1 @t173)) % 0.36/0.89 (define @t175 () (not (= @t174 @t6))) % 0.36/0.89 (define @t176 () (not (tptp.r1_waybel22 @t4 @t173))) % 0.36/0.89 (define @t177 () (not @t14)) % 0.36/0.89 (define @t178 () (not @t15)) % 0.36/0.89 (define @t179 () (not @t16)) % 0.36/0.89 (define @t180 () (not @t17)) % 0.36/0.89 (define @t181 () (not @t18)) % 0.36/0.89 (define @t182 () (not @t19)) % 0.36/0.89 (define @t183 () (not @t20)) % 0.36/0.89 (define @t184 () (not @t21)) % 0.36/0.89 (define @t185 () (or @t184 @t183 @t182 @t181 @t180 @t179 @t178 @t177 @t5 @t176 @t175)) % 0.36/0.89 (define @t186 () (or @t176 @t175)) % 0.36/0.89 (define @t187 () (or @t184 @t183 @t182 @t181 @t180 @t179 @t178 @t177 @t5 @t186)) % 0.36/0.89 (define @t188 () (@list @t1 @t4 @t173)) % 0.36/0.89 (define @t189 () (forall @t188 @t187)) % 0.36/0.89 (define @t190 () (@list @t173)) % 0.36/0.89 (define @t191 () (forall @t190 @t187)) % 0.36/0.89 (define @t192 () (forall @t190 @t186)) % 0.36/0.89 (define @t193 () (or @t184 @t183 @t182 @t181 @t180 @t179 @t178 @t177 @t5 @t192)) % 0.36/0.89 (define @t194 () (not @t9)) % 0.36/0.89 (define @t195 () (not @t10)) % 0.36/0.89 (define @t196 () (or @t195 @t194)) % 0.36/0.89 (define @t197 () (forall @t12 @t196)) % 0.36/0.89 (define @t198 () (or @t184 @t183 @t182 @t181 @t180 @t179 @t178 @t177 @t5 @t197)) % 0.36/0.89 (define @t199 () (or @t5 @t197)) % 0.36/0.89 (define @t200 () (or @t184 @t183 @t182 @t181 @t180 @t179 @t178 @t177)) % 0.36/0.89 (define @t201 () (not @t22)) % 0.36/0.89 (define @t202 () (or @t5 @t196)) % 0.36/0.89 (define @t203 () (or @t195 @t194 @t5)) % 0.36/0.89 (define @t204 () (forall @t188 (or @t184 @t183 @t182 @t181 @t180 @t179 @t178 @t177 @t5 @t176 (not (= @t6 @t174))))) % 0.36/0.89 (define @t205 () (@quantifiers_skolemize @t204 2)) % 0.36/0.89 (define @t206 () (tptp.k1_card_1 @t205)) % 0.36/0.89 (define @t207 () (@quantifiers_skolemize @t204 0)) % 0.36/0.89 (define @t208 () (tptp.k1_card_1 @t207)) % 0.36/0.89 (define @t209 () (= @t208 @t206)) % 0.36/0.89 (define @t210 () (not @t209)) % 0.36/0.89 (define @t211 () (@quantifiers_skolemize @t204 1)) % 0.36/0.89 (define @t212 () (tptp.r1_waybel22 @t211 @t205)) % 0.36/0.89 (define @t213 () (not @t212)) % 0.36/0.89 (define @t214 () (tptp.k3_yellow_1 @t207)) % 0.36/0.89 (define @t215 () (tptp.k9_waybel_0 @t214)) % 0.36/0.89 (define @t216 () (tptp.k2_yellow_1 @t215)) % 0.36/0.89 (define @t217 () (tptp.r5_waybel_1 @t211 @t216)) % 0.36/0.89 (define @t218 () (tptp.l1_orders_2 @t211)) % 0.36/0.89 (define @t219 () (not @t218)) % 0.36/0.89 (define @t220 () (tptp.v3_waybel_3 @t211)) % 0.36/0.89 (define @t221 () (not @t220)) % 0.36/0.89 (define @t222 () (tptp.v3_lattice3 @t211)) % 0.36/0.89 (define @t223 () (not @t222)) % 0.36/0.89 (define @t224 () (tptp.v2_lattice3 @t211)) % 0.36/0.89 (define @t225 () (not @t224)) % 0.36/0.89 (define @t226 () (tptp.v1_lattice3 @t211)) % 0.36/0.89 (define @t227 () (not @t226)) % 0.36/0.89 (define @t228 () (tptp.v4_orders_2 @t211)) % 0.36/0.89 (define @t229 () (not @t228)) % 0.36/0.89 (define @t230 () (tptp.v3_orders_2 @t211)) % 0.36/0.89 (define @t231 () (not @t230)) % 0.36/0.89 (define @t232 () (tptp.v2_orders_2 @t211)) % 0.36/0.89 (define @t233 () (not @t232)) % 0.36/0.89 (define @t234 () (or @t233 @t231 @t229 @t227 @t225 @t223 @t221 @t219 @t217 @t213 @t210)) % 0.36/0.89 (define @t235 () (@list true)) % 0.36/0.89 (define @t236 () (@list @t234)) % 0.36/0.89 (define @t237 () (@list @t207)) % 0.36/0.89 (define @t238 () (@var "BOUND_VARIABLE_8959" $$unsorted)) % 0.36/0.89 (define @t239 () (@var "BOUND_VARIABLE_8957" $$unsorted)) % 0.36/0.89 (define @t240 () (not (= (tptp.k1_card_1 @t239) (tptp.k1_card_1 @t238)))) % 0.36/0.89 (define @t241 () (@var "BOUND_VARIABLE_8955" $$unsorted)) % 0.36/0.89 (define @t242 () (not (tptp.r1_waybel22 @t241 @t238))) % 0.36/0.89 (define @t243 () (not (tptp.r1_waybel22 @t1 @t239))) % 0.36/0.89 (define @t244 () (tptp.r5_waybel_1 @t1 @t241)) % 0.36/0.89 (define @t245 () (not (tptp.l1_orders_2 @t241))) % 0.36/0.89 (define @t246 () (not (tptp.v3_waybel_3 @t241))) % 0.36/0.89 (define @t247 () (not (tptp.v3_lattice3 @t241))) % 0.36/0.89 (define @t248 () (not (tptp.v2_lattice3 @t241))) % 0.36/0.89 (define @t249 () (not (tptp.v1_lattice3 @t241))) % 0.36/0.89 (define @t250 () (not (tptp.v4_orders_2 @t241))) % 0.36/0.89 (define @t251 () (not (tptp.v3_orders_2 @t241))) % 0.36/0.89 (define @t252 () (not (tptp.v2_orders_2 @t241))) % 0.36/0.89 (define @t253 () (not @t31)) % 0.36/0.89 (define @t254 () (not @t61)) % 0.36/0.89 (define @t255 () (not @t39)) % 0.36/0.89 (define @t256 () (not @t43)) % 0.36/0.89 (define @t257 () (not @t44)) % 0.36/0.89 (define @t258 () (not @t45)) % 0.36/0.89 (define @t259 () (not @t46)) % 0.36/0.89 (define @t260 () (not @t36)) % 0.36/0.89 (define @t261 () (or @t252 @t251 @t250 @t249 @t248 @t247 @t246 @t245 @t244 @t243 @t242 @t240)) % 0.36/0.89 (define @t262 () (or @t260 @t259 @t258 @t257 @t256 @t255 @t254 @t253 @t261)) % 0.36/0.89 (define @t263 () (forall (@list @t1 @t241 @t239 @t238) @t262)) % 0.36/0.89 (define @t264 () (@list @t241 @t239 @t238)) % 0.36/0.89 (define @t265 () (forall @t264 @t262)) % 0.36/0.89 (define @t266 () (forall @t264 @t261)) % 0.36/0.89 (define @t267 () (@var "BOUND_VARIABLE_8932" $$unsorted)) % 0.36/0.89 (define @t268 () (@var "BOUND_VARIABLE_8930" $$unsorted)) % 0.36/0.89 (define @t269 () (or @t260 @t259 @t258 @t257 @t256 @t255 @t254 @t253 @t266)) % 0.36/0.89 (define @t270 () (not (= (tptp.k1_card_1 @t268) (tptp.k1_card_1 @t267)))) % 0.36/0.89 (define @t271 () (not (tptp.r1_waybel22 @t4 @t267))) % 0.36/0.89 (define @t272 () (not (tptp.r1_waybel22 @t1 @t268))) % 0.36/0.89 (define @t273 () (or @t184 @t183 @t182 @t181 @t180 @t179 @t178 @t177 @t159 @t272 @t271 @t270)) % 0.36/0.89 (define @t274 () (@list @t4 @t268 @t267)) % 0.36/0.89 (define @t275 () (forall @t274 @t273)) % 0.36/0.89 (define @t276 () (or @t260 @t259 @t258 @t257 @t256 @t255 @t254 @t253 @t275)) % 0.36/0.89 (define @t277 () (or @t260 @t259 @t258 @t257 @t256 @t255 @t254 @t253)) % 0.36/0.89 (define @t278 () (or @t272 @t271 @t270)) % 0.36/0.89 (define @t279 () (or @t184 @t183 @t182 @t181 @t180 @t179 @t178 @t177 @t159 @t278)) % 0.36/0.89 (define @t280 () (forall @t274 @t279)) % 0.36/0.89 (define @t281 () (@list @t268 @t267)) % 0.36/0.89 (define @t282 () (forall @t281 @t279)) % 0.36/0.89 (define @t283 () (forall @t281 @t278)) % 0.36/0.89 (define @t284 () (or @t184 @t183 @t182 @t181 @t180 @t179 @t178 @t177 @t159 @t283)) % 0.36/0.89 (define @t285 () (not @t160)) % 0.36/0.89 (define @t286 () (not @t161)) % 0.36/0.89 (define @t287 () (not @t162)) % 0.36/0.89 (define @t288 () (or @t287 @t286 @t285)) % 0.36/0.89 (define @t289 () (forall @t155 @t288)) % 0.36/0.89 (define @t290 () (or @t184 @t183 @t182 @t181 @t180 @t179 @t178 @t177 @t159 @t289)) % 0.36/0.89 (define @t291 () (or @t159 @t289)) % 0.36/0.89 (define @t292 () (or @t159 @t288)) % 0.36/0.89 (define @t293 () (or @t287 @t286 @t285 @t159)) % 0.36/0.89 (define @t294 () (tptp.k1_waybel22 @t207)) % 0.36/0.89 (define @t295 () (not @t42)) % 0.36/0.89 (define @t296 () (not @t38)) % 0.36/0.89 (define @t297 () (or @t296 @t260 @t259 @t258 @t295 @t256 @t253)) % 0.36/0.89 (define @t298 () (forall @t32 @t110)) % 0.36/0.89 (define @t299 () (@list @t1)) % 0.36/0.89 (define @t300 () (forall @t32 @t111)) % 0.36/0.89 (define @t301 () (forall @t32 @t112)) % 0.36/0.89 (define @t302 () (forall @t32 @t113)) % 0.36/0.89 (define @t303 () (forall @t32 @t114)) % 0.36/0.89 (define @t304 () (forall @t32 @t115)) % 0.36/0.89 (define @t305 () (forall @t32 @t116)) % 0.36/0.89 (define @t306 () (forall @t32 @t117)) % 0.36/0.89 (define @t307 () (forall @t32 @t118)) % 0.36/0.89 (define @t308 () (forall @t32 @t119)) % 0.36/0.89 (define @t309 () (forall @t32 @t120)) % 0.36/0.89 (define @t310 () (forall @t32 @t121)) % 0.36/0.89 (define @t311 () (forall @t32 @t122)) % 0.36/0.89 (define @t312 () (forall @t32 @t123)) % 0.36/0.89 (define @t313 () (forall @t32 @t124)) % 0.36/0.89 (define @t314 () (forall @t32 @t125)) % 0.36/0.89 (define @t315 () (forall @t32 @t126)) % 0.36/0.89 (define @t316 () (forall @t32 @t127)) % 0.36/0.89 (define @t317 () (forall @t32 @t128)) % 0.36/0.89 (define @t318 () (forall @t32 @t93)) % 0.36/0.89 (define @t319 () (forall @t32 @t129)) % 0.36/0.89 (define @t320 () (and @t319 @t318 @t317 @t316 @t315 @t314 @t313 @t312 @t311 @t310 @t309 @t308 @t307 @t306 @t305 @t304 @t303 @t302 @t301 @t300 @t298)) % 0.36/0.89 (define @t321 () (forall @t32 @t92)) % 0.36/0.89 (define @t322 () (and @t318 @t321)) % 0.36/0.89 (define @t323 () (tptp.v3_waybel_3 @t216)) % 0.36/0.89 (define @t324 () (tptp.v3_lattice3 @t216)) % 0.36/0.89 (define @t325 () (tptp.v2_lattice3 @t216)) % 0.36/0.89 (define @t326 () (tptp.v1_lattice3 @t216)) % 0.36/0.89 (define @t327 () (tptp.v4_orders_2 @t216)) % 0.36/0.89 (define @t328 () (tptp.v3_orders_2 @t216)) % 0.36/0.89 (define @t329 () (tptp.v2_orders_2 @t216)) % 0.36/0.89 (define @t330 () (and (not (tptp.v3_struct_0 @t216)) (tptp.v1_orders_2 @t216) @t329 @t328 @t327 (tptp.v1_yellow_0 @t216) (tptp.v2_yellow_0 @t216) (tptp.v3_yellow_0 @t216) (tptp.v24_waybel_0 @t216) (tptp.v25_waybel_0 @t216) @t326 @t325 @t324 @t323)) % 0.36/0.89 (define @t331 () (tptp.l1_orders_2 @t214)) % 0.36/0.89 (define @t332 () (not @t331)) % 0.36/0.89 (define @t333 () (tptp.v2_lattice3 @t214)) % 0.36/0.89 (define @t334 () (not @t333)) % 0.36/0.89 (define @t335 () (tptp.v2_yellow_0 @t214)) % 0.36/0.89 (define @t336 () (not @t335)) % 0.36/0.89 (define @t337 () (tptp.v4_orders_2 @t214)) % 0.36/0.89 (define @t338 () (not @t337)) % 0.36/0.89 (define @t339 () (tptp.v3_orders_2 @t214)) % 0.36/0.89 (define @t340 () (not @t339)) % 0.36/0.89 (define @t341 () (tptp.v2_orders_2 @t214)) % 0.36/0.89 (define @t342 () (not @t341)) % 0.36/0.89 (define @t343 () (tptp.v3_struct_0 @t214)) % 0.36/0.89 (define @t344 () (or @t343 @t342 @t340 @t338 @t336 @t334 @t332 @t330)) % 0.36/0.89 (define @t345 () (not @t330)) % 0.36/0.89 (define @t346 () (@list false)) % 0.36/0.89 (define @t347 () (@list @t330)) % 0.36/0.89 (define @t348 () (forall @t32 @t89)) % 0.36/0.89 (define @t349 () (forall @t32 @t90)) % 0.36/0.89 (define @t350 () (and @t349 @t348)) % 0.36/0.89 (define @t351 () (tptp.k1_card_1 @t294)) % 0.36/0.89 (define @t352 () (= @t206 @t351)) % 0.36/0.89 (define @t353 () (not @t352)) % 0.36/0.89 (define @t354 () (tptp.r1_waybel22 @t216 @t294)) % 0.36/0.89 (define @t355 () (not @t354)) % 0.36/0.89 (define @t356 () (tptp.l1_orders_2 @t216)) % 0.36/0.89 (define @t357 () (not @t356)) % 0.36/0.89 (define @t358 () (not @t323)) % 0.36/0.89 (define @t359 () (not @t324)) % 0.36/0.89 (define @t360 () (not @t325)) % 0.36/0.89 (define @t361 () (not @t326)) % 0.36/0.89 (define @t362 () (not @t327)) % 0.36/0.89 (define @t363 () (not @t328)) % 0.36/0.89 (define @t364 () (not @t329)) % 0.36/0.89 (define @t365 () (or @t233 @t231 @t229 @t227 @t225 @t223 @t221 @t219 @t364 @t363 @t362 @t361 @t360 @t359 @t358 @t357 @t217 @t213 @t355 @t353)) % 0.36/0.89 (define @t366 () (= @t208 @t351)) % 0.36/0.89 (define @t367 () (and @t209 @t366)) % 0.36/0.89 (assume @p1 @t26) % 0.36/0.89 (assume @p2 (forall @t32 (=> @t31 (=> @t30 (= @t1 @t29))))) % 0.36/0.89 (assume @p3 (forall @t24 (=> @t33 (not (tptp.r2_hidden @t4 @t1))))) % 0.36/0.89 (assume @p4 (forall @t32 (=> @t31 (=> (and @t38 @t36 @t39) (and @t38 @t36 @t35 @t34))))) % 0.36/0.89 (assume @p5 (forall @t32 (=> @t31 (=> (and @t38 @t36 @t34) (and @t38 @t36 @t40))))) % 0.36/0.89 (assume @p6 (forall @t32 (=> @t31 (=> (and @t38 @t36 @t46 @t45 @t44 @t40 @t35) (and @t38 @t36 @t46 @t45 @t44 @t43 @t39 @t40 @t42 @t41))))) % 0.36/0.89 (assume @p7 (forall @t32 (=> @t31 (=> (and @t38 @t36 @t45 @t34) (and @t38 @t36 @t45 @t43))))) % 0.36/0.89 (assume @p8 (forall @t32 (=> @t31 (=> (and @t38 @t36 @t45 @t42 @t34) (and @t38 @t36 @t45 @t44 @t42))))) % 0.36/0.89 (assume @p9 (forall @t32 (=> @t48 @t47))) % 0.36/0.89 (assume @p10 (forall @t32 (=> @t31 (=> @t44 @t38)))) % 0.36/0.89 (assume @p11 (forall @t51 (=> @t50 (tptp.v1_relat_1 @t7)))) % 0.36/0.89 (assume @p12 (forall @t32 (=> @t57 (forall @t55 (=> @t54 @t53))))) % 0.36/0.89 (assume @p13 (forall @t32 (=> @t60 (forall @t55 (=> (tptp.m1_subset_1 @t4 (tptp.u1_struct_0 @t59)) @t53))))) % 0.36/0.89 (assume @p14 (forall @t32 (=> @t31 (=> (and @t36 @t46 @t45 @t44 @t43 @t63) (and @t38 @t36 @t46 @t45 @t44 @t43 @t42 @t35 @t62 @t61))))) % 0.36/0.89 (assume @p15 (forall @t32 (=> @t31 (=> @t64 (and @t38 @t44 @t43))))) % 0.36/0.89 (assume @p16 (forall @t32 (=> @t31 (=> (and @t38 @t65) (and @t38 @t44 @t43 @t39 @t40 @t42 @t41))))) % 0.36/0.89 (assume @p17 (forall @t32 (=> @t68 @t67))) % 0.36/0.89 (assume @p18 (forall @t32 (=> @t31 (=> @t43 @t38)))) % 0.36/0.89 (assume @p19 (forall @t32 (=> @t31 (=> (and @t38 @t36 @t46 @t45 @t69) (and @t38 @t36 @t46 @t45 @t65))))) % 0.36/0.89 (assume @p20 (forall @t32 (=> @t31 (=> (and @t38 @t36 @t63) (and @t38 @t36 @t35 @t70))))) % 0.36/0.89 (assume @p21 (forall @t32 (=> @t31 (=> @t71 (and @t38 @t36 @t46 @t45 @t39))))) % 0.36/0.89 (assume @p22 (forall @t32 (=> @t31 (=> @t72 (and @t38 @t36 @t46 @t45 @t44 @t43 @t39 @t40 @t42 @t41 @t35 @t34 @t62 @t61))))) % 0.36/0.89 (assume @p23 (forall @t32 (=> @t31 (=> (and @t36 @t46 @t45 @t44 @t43 @t73) (and @t38 @t36 @t46 @t45 @t44 @t43 @t42 @t35 @t62 @t61 @t70 @t63))))) % 0.36/0.89 (assume @p24 (forall @t32 (=> @t31 (=> @t64 (and @t38 @t41))))) % 0.36/0.89 (assume @p25 (forall @t32 (=> @t31 (=> @t72 (and @t38 @t36 @t46 @t45 @t44 @t43 @t74))))) % 0.36/0.89 (assume @p26 (forall @t32 (=> @t31 (=> (and @t36 @t46 @t45 @t44 @t43 @t69) (and @t38 @t36 @t46 @t45 @t44 @t43 @t42 @t35 @t62 @t61 @t70 @t63 @t73))))) % 0.36/0.89 (assume @p27 (forall @t32 (=> @t31 (=> @t41 @t75)))) % 0.36/0.89 (assume @p28 (forall @t32 (=> @t31 (=> @t71 (and @t38 @t36 @t76))))) % 0.36/0.89 (assume @p29 (forall @t32 (=> @t31 (=> @t75 @t41)))) % 0.36/0.89 (assume @p30 (forall @t32 (=> @t31 (=> (and @t36 @t44 @t35) (and @t38 @t36 @t44 @t42))))) % 0.36/0.89 (assume @p31 (forall @t32 (=> @t80 (forall @t55 (=> @t79 (= @t78 (tptp.k5_waybel_0 @t1 @t77))))))) % 0.36/0.89 (assume @p32 (forall @t32 (=> @t81 (= @t58 (tptp.a_1_1_waybel_0 @t1))))) % 0.36/0.89 (assume @p33 (forall @t32 (= @t82 (tptp.a_1_0_waybel22 @t1)))) % 0.36/0.89 (assume @p34 (forall @t24 (=> @t84 (and (tptp.v1_orders_2 @t83) (tptp.l1_orders_2 @t83))))) % 0.36/0.89 (assume @p35 (forall @t32 (tptp.v1_card_1 @t6))) % 0.36/0.89 (assume @p36 (forall @t24 (=> @t87 (tptp.m1_subset_1 @t77 @t85)))) % 0.36/0.89 (assume @p37 true) % 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(and @t96 @t53 @t131 (tptp.v13_waybel_0 @t4 @t1)))))) % 0.36/0.89 (assume @p80 (exists @t32 (and @t31 @t38 @t36 @t46 @t45 @t76))) % 0.36/0.89 (assume @p81 (exists @t32 (and @t31 @t38 @t30 @t36 @t46 @t45 @t44 @t43 @t39 @t40 @t42 @t41 @t35 @t34))) % 0.36/0.89 (assume @p82 (exists @t32 (and @t66 @t47))) % 0.36/0.89 (assume @p83 (exists @t32 (and @t31 @t38 @t30 @t36 @t46 @t45 @t39))) % 0.36/0.89 (assume @p84 (exists @t32 @t57)) % 0.36/0.89 (assume @p85 (forall @t32 (=> @t56 (exists @t55 (and @t156 @t53))))) % 0.36/0.89 (assume @p86 (exists @t32 (and @t31 @t38 @t36 @t46 @t45 @t44 @t43 @t65))) % 0.36/0.89 (assume @p87 (exists @t32 @t48)) % 0.36/0.89 (assume @p88 (exists @t32 (and @t31 @t38 @t30 @t36 @t46 @t45 @t44 @t43 @t39 @t69))) % 0.36/0.89 (assume @p89 (exists @t32 (and @t31 @t38 @t30 @t36 @t46 @t45 @t44 @t43 @t39 @t40 @t42 @t41 @t76 @t35 @t34 (tptp.v2_waybel_1 @t1) @t74 @t65 @t69))) % 0.36/0.89 (assume @p90 (exists @t32 @t68)) % 0.36/0.89 (assume @p91 (exists @t32 (and @t31 @t38 @t30 @t36 @t46 @t45 @t44 @t43 @t39))) % 0.36/0.89 (assume @p92 (forall @t32 (exists @t55 (and @t156 @t52)))) % 0.36/0.89 (assume @p93 (exists @t32 @t56)) % 0.36/0.89 (assume @p94 (exists @t32 (and @t31 @t38 @t36 @t46 @t45 @t44 @t43 @t39 @t40 @t42 @t41))) % 0.36/0.89 (assume @p95 (exists @t32 @t67)) % 0.36/0.89 (assume @p96 (exists @t32 (and @t86 @t38))) % 0.36/0.89 (assume @p97 (forall @t32 (=> @t132 (exists @t55 (and @t96 @t53))))) % 0.36/0.89 (assume @p98 (forall @t24 (=> @t87 (= @t77 (tptp.k1_tarski @t4))))) % 0.36/0.89 (assume @p99 (forall @t51 (= @t97 @t98))) % 0.36/0.89 (assume @p100 (forall @t24 (tptp.r1_tarski @t1 @t1))) % 0.36/0.89 (assume @p101 (forall @t24 (=> (and @t31 @t14) (tptp.r5_waybel_1 @t1 @t1)))) % 0.36/0.89 (assume @p102 @t158) % 0.36/0.89 (assume @p103 (forall @t32 (tptp.r1_waybel22 @t3 @t82))) % 0.36/0.89 (assume @p104 @t169) % 0.36/0.89 (assume @p105 (forall @t24 (=> @t33 @t170))) % 0.36/0.89 (assume @p106 (forall @t24 (=> @t170 (or @t52 @t33)))) % 0.36/0.89 (assume @p107 (forall @t24 (=> (forall @t12 (= (tptp.r2_hidden @t7 @t1) (tptp.r2_hidden @t7 @t4))) @t171))) % 0.36/0.89 (assume @p108 (forall @t24 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t4)) (tptp.r1_tarski @t1 @t4)))) % 0.36/0.89 (assume @p109 (forall @t51 (=> (and @t33 @t172) (tptp.m1_subset_1 @t1 @t7)))) % 0.36/0.89 (assume @p110 (forall @t51 (not (and @t33 @t172 @t154)))) % 0.36/0.89 (assume @p111 (forall @t32 (=> @t48 (= @t1 tptp.k1_xboole_0)))) % 0.36/0.89 (assume @p112 (forall @t24 (not (and @t33 @t52)))) % 0.36/0.89 (assume @p113 (forall @t24 (not (and @t48 (not @t171) @t52)))) % 0.36/0.89 (step @p114 :rule eq-symm :args (@t174 @t6)) % 0.36/0.89 (step @p115 :rule cong :premises (@p114) :args (@t175)) % 0.36/0.89 (step @p116 :rule refl :args (@t176)) % 0.36/0.89 (step @p117 :rule refl :args (@t5)) % 0.36/0.89 (step @p118 :rule refl :args (@t177)) % 0.36/0.89 (step @p119 :rule refl :args (@t178)) % 0.36/0.89 (step @p120 :rule refl :args (@t179)) % 0.36/0.89 (step @p121 :rule refl 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% 0.36/0.89 (step @p163 :rule trans :premises (@p162 @p161)) % 0.36/0.89 (step @p164 :rule nary_cong :premises (@p139 @p163) :args ((or @t183 (not (and @t19 @t18 @t17 @t16 @t15 @t14))))) % 0.36/0.89 (step @p165 :rule bool-and-de-morgan :args (@t20 @t19 (and @t18 @t17 @t16 @t15 @t14))) % 0.36/0.89 (step @p166 :rule trans :premises (@p165 @p164)) % 0.36/0.89 (step @p167 :rule nary_cong :premises (@p140 @p166) :args ((or @t184 (not (and @t20 @t19 @t18 @t17 @t16 @t15 @t14))))) % 0.36/0.89 (step @p168 :rule bool-and-de-morgan :args (@t21 @t20 (and @t19 @t18 @t17 @t16 @t15 @t14))) % 0.36/0.89 (step @p169 :rule trans :premises (@p168 @p167)) % 0.36/0.89 (step @p170 :rule trans :premises (@p169 @p150)) % 0.36/0.89 (step @p171 :rule nary_cong :premises (@p170 @p149) :args ((or @t201 @t199))) % 0.36/0.89 (step @p172 :rule trans :premises (@p171 @p148)) % 0.36/0.89 (step @p173 :rule bool-impl-elim :args (@t22 @t199)) % 0.36/0.89 (step @p174 :rule trans :premises (@p173 @p172)) % 0.36/0.89 (step @p175 :rule cong :premises (@p174) :args ((forall @t24 (=> @t22 @t199)))) % 0.36/0.89 (step @p176 :rule trans :premises (@p175 @p147)) % 0.36/0.89 (step @p177 :rule quant-miniscope-or :args ((= (forall @t12 @t202) @t199))) % 0.36/0.89 (step @p178 :rule aci_norm :args ((= @t203 @t202))) % 0.36/0.89 (step @p179 :rule cong :premises (@p178) :args ((forall @t12 @t203))) % 0.36/0.89 (step @p180 :rule trans :premises (@p179 @p177)) % 0.36/0.89 (step @p181 :rule aci_norm :args ((= (or @t196 @t5) @t203))) % 0.36/0.89 (step @p182 :rule bool-and-de-morgan :args (@t10 @t9 true)) % 0.36/0.89 (step @p183 :rule nary_cong :premises (@p182 @p132) :args ((or (not @t11) @t5))) % 0.36/0.89 (step @p184 :rule trans :premises (@p183 @p181)) % 0.36/0.89 (step @p185 :rule bool-impl-elim :args (@t11 @t5)) % 0.36/0.89 (step @p186 :rule trans :premises (@p185 @p184)) % 0.36/0.89 (step @p187 :rule cong :premises (@p186) :args (@t13)) % 0.36/0.89 (step @p188 :rule trans :premises (@p187 @p180)) % 0.36/0.89 (step 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:rule eq_resolve :premises (@p39 @p408)) % 0.36/0.89 (step @p410 :rule and_elim :premises (@p409) :args (1)) % 0.36/0.89 (step @p411 :rule instantiate :premises (@p410) :args ((@list @t215))) % 0.36/0.89 (step @p412 :rule bool-double-not-elim :args (@t212)) % 0.36/0.89 (step @p413 :rule nary_cong :premises (@p197 @p412) :args ((or @t234 (not @t213)))) % 0.36/0.89 (step @p414 :rule cnf_or_neg :args (@t234 9)) % 0.36/0.89 (step @p415 :rule eq_resolve :premises (@p414 @p413)) % 0.36/0.89 (step @p416 :rule reordering :premises (@p415) :args ((or @t212 @t234))) % 0.36/0.89 (step @p417 :rule chain_m_resolution :premises (@p416 @p195) :args (@t212 @t235 @t236)) % 0.36/0.89 (step @p418 :rule cnf_or_neg :args (@t234 8)) % 0.36/0.89 (step @p419 :rule chain_m_resolution :premises (@p418 @p195) :args ((not @t217) @t235 @t236)) % 0.36/0.89 (step @p420 :rule bool-double-not-elim :args (@t218)) % 0.36/0.89 (step @p421 :rule nary_cong :premises (@p197 @p420) :args ((or @t234 (not @t219)))) % 0.36/0.89 (step @p422 :rule cnf_or_neg :args (@t234 7)) % 0.36/0.89 (step @p423 :rule eq_resolve :premises (@p422 @p421)) % 0.36/0.89 (step @p424 :rule reordering :premises (@p423) :args ((or @t218 @t234))) % 0.36/0.89 (step @p425 :rule chain_m_resolution :premises (@p424 @p195) :args (@t218 @t235 @t236)) % 0.36/0.89 (step @p426 :rule bool-double-not-elim :args (@t220)) % 0.36/0.89 (step @p427 :rule nary_cong :premises (@p197 @p426) :args ((or @t234 (not @t221)))) % 0.36/0.89 (step @p428 :rule cnf_or_neg :args (@t234 6)) % 0.36/0.89 (step @p429 :rule eq_resolve :premises (@p428 @p427)) % 0.36/0.89 (step @p430 :rule reordering :premises (@p429) :args ((or @t220 @t234))) % 0.36/0.89 (step @p431 :rule chain_m_resolution :premises (@p430 @p195) :args (@t220 @t235 @t236)) % 0.36/0.89 (step @p432 :rule bool-double-not-elim :args (@t222)) % 0.36/0.89 (step @p433 :rule nary_cong :premises (@p197 @p432) :args ((or @t234 (not @t223)))) % 0.36/0.89 (step @p434 :rule cnf_or_neg :args (@t234 5)) % 0.36/0.89 (step @p435 :rule eq_resolve :premises (@p434 @p433)) % 0.36/0.89 (step @p436 :rule reordering :premises (@p435) :args ((or @t222 @t234))) % 0.36/0.89 (step @p437 :rule chain_m_resolution :premises (@p436 @p195) :args (@t222 @t235 @t236)) % 0.36/0.89 (step @p438 :rule bool-double-not-elim :args (@t224)) % 0.36/0.89 (step @p439 :rule nary_cong :premises (@p197 @p438) :args ((or @t234 (not @t225)))) % 0.36/0.89 (step @p440 :rule cnf_or_neg :args (@t234 4)) % 0.36/0.89 (step @p441 :rule eq_resolve :premises (@p440 @p439)) % 0.36/0.89 (step @p442 :rule reordering :premises (@p441) :args ((or @t224 @t234))) % 0.36/0.89 (step @p443 :rule chain_m_resolution :premises (@p442 @p195) :args (@t224 @t235 @t236)) % 0.36/0.89 (step @p444 :rule bool-double-not-elim :args (@t226)) % 0.36/0.89 (step @p445 :rule nary_cong :premises (@p197 @p444) :args ((or @t234 (not @t227)))) % 0.36/0.89 (step @p446 :rule cnf_or_neg :args (@t234 3)) % 0.36/0.89 (step @p447 :rule eq_resolve :premises (@p446 @p445)) % 0.36/0.89 (step @p448 :rule reordering :premises (@p447) :args ((or @t226 @t234))) % 0.36/0.89 (step @p449 :rule chain_m_resolution :premises (@p448 @p195) :args (@t226 @t235 @t236)) % 0.36/0.89 (step @p450 :rule bool-double-not-elim :args (@t228)) % 0.36/0.89 (step @p451 :rule nary_cong :premises (@p197 @p450) :args ((or @t234 (not @t229)))) % 0.36/0.89 (step @p452 :rule cnf_or_neg :args (@t234 2)) % 0.36/0.89 (step @p453 :rule eq_resolve :premises (@p452 @p451)) % 0.36/0.89 (step @p454 :rule reordering :premises (@p453) :args ((or @t228 @t234))) % 0.36/0.89 (step @p455 :rule chain_m_resolution :premises (@p454 @p195) :args (@t228 @t235 @t236)) % 0.36/0.89 (step @p456 :rule bool-double-not-elim :args (@t230)) % 0.36/0.89 (step @p457 :rule nary_cong :premises (@p197 @p456) :args ((or @t234 (not @t231)))) % 0.36/0.89 (step @p458 :rule cnf_or_neg :args (@t234 1)) % 0.36/0.89 (step @p459 :rule eq_resolve :premises (@p458 @p457)) % 0.36/0.89 (step @p460 :rule reordering :premises (@p459) :args ((or @t230 @t234))) % 0.36/0.89 (step @p461 :rule chain_m_resolution :premises (@p460 @p195) :args (@t230 @t235 @t236)) % 0.36/0.89 (step @p462 :rule bool-double-not-elim :args (@t232)) % 0.36/0.89 (step @p463 :rule nary_cong :premises (@p197 @p462) :args ((or @t234 (not @t233)))) % 0.36/0.89 (step @p464 :rule cnf_or_neg :args (@t234 0)) % 0.36/0.89 (step @p465 :rule eq_resolve :premises (@p464 @p463)) % 0.36/0.89 (step @p466 :rule reordering :premises (@p465) :args ((or @t232 @t234))) % 0.36/0.89 (step @p467 :rule chain_m_resolution :premises (@p466 @p195) :args (@t232 @t235 @t236)) % 0.36/0.89 (step @p468 :rule cnf_or_pos :args (@t365)) % 0.36/0.89 (step @p469 :rule reordering :premises (@p468) :args ((or @t233 @t231 @t229 @t227 @t225 @t223 @t221 @t219 @t217 @t213 @t357 @t364 @t363 @t362 @t361 @t360 @t359 @t358 @t355 @t353 (not @t365)))) % 0.36/0.89 (step @p470 :rule chain_m_resolution :premises (@p469 @p467 @p461 @p455 @p449 @p443 @p437 @p431 @p425 @p419 @p417 @p411 @p403 @p400 @p397 @p394 @p391 @p388 @p385 @p302 @p301) :args (@t353 (@list false false false false false false false false true false false false false false false false false false false false) (@list @t232 @t230 @t228 @t226 @t224 @t222 @t220 @t218 @t217 @t212 @t356 @t329 @t328 @t327 @t326 @t325 @t324 @t323 @t354 @t365))) % 0.36/0.89 (assume-push @p483 @t209) % 0.36/0.89 (assume-push @p484 @t366) % 0.36/0.89 (step @p473 :rule symm :premises (@p202)) % 0.36/0.89 (step @p474 :rule trans :premises (@p473 @p206)) % 0.36/0.89 (step-pop @p485 :rule scope :premises (@p474)) % 0.36/0.89 (step-pop @p486 :rule scope :premises (@p485)) % 0.36/0.89 (step @p475 :rule process_scope :premises (@p486) :args (@t352)) % 0.36/0.89 (step @p478 :rule implies_elim :premises (@p475)) % 0.36/0.89 (step @p479 :rule cnf_and_neg :args (@t367)) % 0.36/0.89 (step @p480 :rule resolution :premises (@p479 @p478) :args (true @t367)) % 0.36/0.90 (step @p481 :rule reordering :premises (@p480) :args ((or @t210 @t352 (not @t366)))) % 0.36/0.90 (step @p482 false :rule chain_m_resolution :premises (@p481 @p470 @p206 @p202) :args (false (@list true false false) (@list @t352 @t366 @t209))) % 0.36/0.90 ) % 0.36/0.90 % SZS output end Proof % 0.36/0.90 % cvc5 exiting %------------------------------------------------------------------------------