%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG222+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:05:33 AM UTC 2026 % Result : Theorem 0.73s 0.92s % Output : Proof 0.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG222+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n001.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 01:46:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.73/0.92 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.73/0.92 % SZS status Theorem % 0.73/0.92 % SZS output start Proof % 0.73/0.92 ( % 0.73/0.92 (declare-sort $$unsorted 0) % 0.73/0.92 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.l2_struct_0 (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.l1_group_1 (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.l2_vectsp_1 (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.l1_rlvect_1 (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.k3_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 0.73/0.92 (declare-const tptp.l1_vectsp_1 (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.v5_rlvect_1 (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.v5_vectsp_2 (-> $$unsorted $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.v4_rlvect_1 (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.l1_vectsp_2 (-> $$unsorted $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.73/0.92 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.u2_struct_0 (-> $$unsorted $$unsorted)) % 0.73/0.92 (declare-const tptp.m1_rmod_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.k5_subset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.73/0.92 (declare-const tptp.v6_rlvect_1 (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.v2_group_1 (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.73/0.92 (declare-const tptp.u1_rlvect_1 (-> $$unsorted $$unsorted)) % 0.73/0.92 (declare-const tptp.k2_rmod_3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.73/0.92 (declare-const tptp.k1_rmod_5 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.73/0.92 (declare-const tptp.g1_vectsp_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.73/0.92 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.l3_vectsp_1 (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.v2_vectsp_2 (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.v10_vectsp_1 (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.73/0.92 (declare-const tptp.v8_vectsp_1 (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.v7_vectsp_1 (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.73/0.92 (declare-const tptp.v6_vectsp_1 (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.v7_group_1 (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.v3_rlvect_1 (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.v4_group_1 (-> $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.73/0.92 (declare-const tptp.u1_vectsp_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.73/0.92 (declare-const tptp.v3_vectsp_2 (-> $$unsorted $$unsorted Bool)) % 0.73/0.92 (define @t1 () (@var "D" $$unsorted)) % 0.73/0.92 (define @t2 () (@var "B" $$unsorted)) % 0.73/0.92 (define @t3 () (@var "A" $$unsorted)) % 0.73/0.92 (define @t4 () (tptp.k1_rmod_5 @t3 @t2 @t1)) % 0.73/0.92 (define @t5 () (@var "C" $$unsorted)) % 0.73/0.92 (define @t6 () (tptp.k1_rmod_5 @t3 @t2 @t5)) % 0.73/0.92 (define @t7 () (tptp.u1_struct_0 @t2)) % 0.73/0.92 (define @t8 () (tptp.m1_rmod_2 (tptp.k1_rmod_5 @t3 @t2 (tptp.k5_subset_1 @t7 @t5 @t1)) @t3 (tptp.k2_rmod_3 @t3 @t2 @t6 @t4))) % 0.73/0.92 (define @t9 () (tptp.k1_zfmisc_1 @t7)) % 0.73/0.92 (define @t10 () (tptp.m1_subset_1 @t1 @t9)) % 0.73/0.92 (define @t11 () (@list @t1)) % 0.73/0.92 (define @t12 () (forall @t11 (=> @t10 @t8))) % 0.73/0.92 (define @t13 () (tptp.m1_subset_1 @t5 @t9)) % 0.73/0.92 (define @t14 () (=> @t13 @t12)) % 0.73/0.92 (define @t15 () (@list @t5)) % 0.73/0.92 (define @t16 () (forall @t15 @t14)) % 0.73/0.92 (define @t17 () (tptp.l1_vectsp_2 @t2 @t3)) % 0.73/0.92 (define @t18 () (tptp.v5_vectsp_2 @t2 @t3)) % 0.73/0.92 (define @t19 () (tptp.v6_rlvect_1 @t2)) % 0.73/0.92 (define @t20 () (tptp.v5_rlvect_1 @t2)) % 0.73/0.92 (define @t21 () (tptp.v4_rlvect_1 @t2)) % 0.73/0.92 (define @t22 () (tptp.v3_rlvect_1 @t2)) % 0.73/0.92 (define @t23 () (tptp.v3_struct_0 @t2)) % 0.73/0.92 (define @t24 () (not @t23)) % 0.73/0.92 (define @t25 () (and @t24 @t22 @t21 @t20 @t19 @t18 @t17)) % 0.73/0.92 (define @t26 () (=> @t25 @t16)) % 0.73/0.92 (define @t27 () (@list @t2)) % 0.73/0.92 (define @t28 () (forall @t27 @t26)) % 0.73/0.92 (define @t29 () (tptp.l3_vectsp_1 @t3)) % 0.73/0.92 (define @t30 () (tptp.v2_vectsp_2 @t3)) % 0.73/0.92 (define @t31 () (tptp.v10_vectsp_1 @t3)) % 0.73/0.92 (define @t32 () (not @t31)) % 0.73/0.92 (define @t33 () (tptp.v8_vectsp_1 @t3)) % 0.73/0.92 (define @t34 () (tptp.v7_vectsp_1 @t3)) % 0.73/0.92 (define @t35 () (tptp.v6_vectsp_1 @t3)) % 0.73/0.92 (define @t36 () (tptp.v7_group_1 @t3)) % 0.73/0.92 (define @t37 () (tptp.v4_group_1 @t3)) % 0.73/0.92 (define @t38 () (tptp.v6_rlvect_1 @t3)) % 0.73/0.92 (define @t39 () (tptp.v5_rlvect_1 @t3)) % 0.73/0.92 (define @t40 () (tptp.v4_rlvect_1 @t3)) % 0.73/0.92 (define @t41 () (tptp.v3_rlvect_1 @t3)) % 0.73/0.92 (define @t42 () (tptp.v3_struct_0 @t3)) % 0.73/0.92 (define @t43 () (not @t42)) % 0.73/0.92 (define @t44 () (and @t43 @t41 @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t30 @t29)) % 0.73/0.92 (define @t45 () (=> @t44 @t28)) % 0.73/0.92 (define @t46 () (@list @t3)) % 0.73/0.92 (define @t47 () (forall @t46 @t45)) % 0.73/0.92 (define @t48 () (not @t47)) % 0.73/0.92 (define @t49 () (tptp.u1_vectsp_2 @t3 @t2)) % 0.73/0.92 (define @t50 () (tptp.v3_vectsp_2 @t2 @t3)) % 0.73/0.92 (define @t51 () (tptp.l1_struct_0 @t3)) % 0.73/0.92 (define @t52 () (and @t51 @t17)) % 0.73/0.92 (define @t53 () (@list @t3 @t2)) % 0.73/0.92 (define @t54 () (tptp.r2_hidden @t3 @t2)) % 0.73/0.92 (define @t55 () (tptp.k2_zfmisc_1 @t3 @t2)) % 0.73/0.92 (define @t56 () (tptp.m1_subset_1 @t5 (tptp.k1_zfmisc_1 @t55))) % 0.73/0.92 (define @t57 () (@list @t3 @t2 @t5)) % 0.73/0.92 (define @t58 () (and @t43 (tptp.v2_group_1 @t3) @t35 @t33)) % 0.73/0.92 (define @t59 () (tptp.l1_vectsp_1 @t3)) % 0.73/0.92 (define @t60 () (tptp.k3_xboole_0 @t3 @t2)) % 0.73/0.92 (define @t61 () (tptp.k5_subset_1 @t3 @t2 @t5)) % 0.73/0.92 (define @t62 () (tptp.k1_zfmisc_1 @t3)) % 0.73/0.92 (define @t63 () (tptp.m1_subset_1 @t5 @t62)) % 0.73/0.92 (define @t64 () (tptp.m1_subset_1 @t2 @t62)) % 0.73/0.92 (define @t65 () (and @t64 @t63)) % 0.73/0.92 (define @t66 () (@var "E" $$unsorted)) % 0.73/0.92 (define @t67 () (tptp.g1_vectsp_2 @t3 @t2 @t5 @t1 @t66)) % 0.73/0.92 (define @t68 () (tptp.v3_vectsp_2 @t67 @t3)) % 0.73/0.92 (define @t69 () (tptp.u1_struct_0 @t3)) % 0.73/0.92 (define @t70 () (tptp.k2_zfmisc_1 @t2 @t69)) % 0.73/0.92 (define @t71 () (tptp.m1_relset_1 @t66 @t70 @t2)) % 0.73/0.92 (define @t72 () (tptp.v1_funct_2 @t66 @t70 @t2)) % 0.73/0.92 (define @t73 () (tptp.v1_funct_1 @t66)) % 0.73/0.92 (define @t74 () (tptp.m1_subset_1 @t1 @t2)) % 0.73/0.92 (define @t75 () (tptp.k2_zfmisc_1 @t2 @t2)) % 0.73/0.92 (define @t76 () (tptp.m1_relset_1 @t5 @t75 @t2)) % 0.73/0.92 (define @t77 () (tptp.v1_funct_2 @t5 @t75 @t2)) % 0.73/0.92 (define @t78 () (tptp.v1_funct_1 @t5)) % 0.73/0.92 (define @t79 () (and @t51 @t78 @t77 @t76 @t74 @t73 @t72 @t71)) % 0.73/0.92 (define @t80 () (@list @t3 @t2 @t5 @t1 @t66)) % 0.73/0.92 (define @t81 () (and (tptp.v3_vectsp_2 @t6 @t3) (tptp.m1_rmod_2 @t6 @t3 @t2))) % 0.73/0.92 (define @t82 () (and @t43 @t41 @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t30 @t29 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t13)) % 0.73/0.92 (define @t83 () (forall @t57 (=> @t82 @t81))) % 0.73/0.92 (define @t84 () (tptp.k2_rmod_3 @t3 @t2 @t5 @t1)) % 0.73/0.92 (define @t85 () (tptp.m1_rmod_2 @t1 @t3 @t2)) % 0.73/0.92 (define @t86 () (tptp.m1_rmod_2 @t5 @t3 @t2)) % 0.73/0.92 (define @t87 () (tptp.m1_subset_1 @t61 @t62)) % 0.73/0.92 (define @t88 () (forall @t57 (=> @t65 @t87))) % 0.73/0.92 (define @t89 () (tptp.l1_group_1 @t3)) % 0.73/0.92 (define @t90 () (tptp.l2_struct_0 @t3)) % 0.73/0.92 (define @t91 () (tptp.l1_rlvect_1 @t3)) % 0.73/0.92 (define @t92 () (tptp.l2_vectsp_1 @t3)) % 0.73/0.92 (define @t93 () (tptp.v5_vectsp_2 @t5 @t3)) % 0.73/0.92 (define @t94 () (tptp.v6_rlvect_1 @t5)) % 0.73/0.92 (define @t95 () (tptp.v5_rlvect_1 @t5)) % 0.73/0.92 (define @t96 () (tptp.v4_rlvect_1 @t5)) % 0.73/0.92 (define @t97 () (tptp.v3_rlvect_1 @t5)) % 0.73/0.92 (define @t98 () (not (tptp.v3_struct_0 @t5))) % 0.73/0.92 (define @t99 () (and @t43 @t41 @t40 @t39 @t38 @t37 @t35 @t34 @t33 @t29 @t24 @t22 @t21 @t20 @t19 @t18 @t17)) % 0.73/0.92 (define @t100 () (tptp.m2_relset_1 @t5 @t3 @t2)) % 0.73/0.92 (define @t101 () (tptp.k2_zfmisc_1 @t69 @t69)) % 0.73/0.92 (define @t102 () (tptp.u1_rlvect_1 @t3)) % 0.73/0.92 (define @t103 () (tptp.k2_zfmisc_1 @t7 @t69)) % 0.73/0.92 (define @t104 () (tptp.m1_relset_1 @t5 @t3 @t2)) % 0.73/0.92 (define @t105 () (and @t43 @t51)) % 0.73/0.92 (define @t106 () (tptp.v1_xboole_0 @t2)) % 0.73/0.92 (define @t107 () (not @t106)) % 0.73/0.92 (define @t108 () (tptp.v1_xboole_0 @t3)) % 0.73/0.92 (define @t109 () (not @t108)) % 0.73/0.92 (define @t110 () (@var "J" $$unsorted)) % 0.73/0.92 (define @t111 () (@var "I" $$unsorted)) % 0.73/0.92 (define @t112 () (@var "H" $$unsorted)) % 0.73/0.92 (define @t113 () (@var "G" $$unsorted)) % 0.73/0.92 (define @t114 () (@var "F" $$unsorted)) % 0.73/0.92 (define @t115 () (and @t43 @t41 @t40 @t39 @t38 @t37 @t35 @t34 @t33 @t29)) % 0.73/0.92 (define @t116 () (= @t61 (tptp.k3_xboole_0 @t2 @t5))) % 0.73/0.92 (define @t117 () (forall @t57 (=> @t65 @t116))) % 0.73/0.92 (define @t118 () (tptp.m1_rmod_2 @t6 @t3 @t4)) % 0.73/0.92 (define @t119 () (tptp.r1_tarski @t5 @t1)) % 0.73/0.92 (define @t120 () (=> @t119 @t118)) % 0.73/0.92 (define @t121 () (forall @t11 (=> @t10 @t120))) % 0.73/0.92 (define @t122 () (=> @t13 @t121)) % 0.73/0.92 (define @t123 () (forall @t15 @t122)) % 0.73/0.92 (define @t124 () (=> @t25 @t123)) % 0.73/0.92 (define @t125 () (forall @t27 @t124)) % 0.73/0.92 (define @t126 () (=> @t44 @t125)) % 0.73/0.92 (define @t127 () (forall @t46 @t126)) % 0.73/0.92 (define @t128 () (tptp.m1_subset_1 @t3 @t2)) % 0.73/0.92 (define @t129 () (tptp.m1_rmod_2 @t5 @t3 (tptp.k2_rmod_3 @t3 @t2 @t1 @t66))) % 0.73/0.92 (define @t130 () (tptp.m1_rmod_2 @t5 @t3 @t66)) % 0.73/0.92 (define @t131 () (tptp.m1_rmod_2 @t5 @t3 @t1)) % 0.73/0.92 (define @t132 () (and @t131 @t130)) % 0.73/0.92 (define @t133 () (=> @t132 @t129)) % 0.73/0.92 (define @t134 () (tptp.m1_rmod_2 @t66 @t3 @t2)) % 0.73/0.92 (define @t135 () (@list @t66)) % 0.73/0.92 (define @t136 () (forall @t135 (=> @t134 @t133))) % 0.73/0.92 (define @t137 () (=> @t85 @t136)) % 0.73/0.92 (define @t138 () (forall @t11 @t137)) % 0.73/0.92 (define @t139 () (=> @t86 @t138)) % 0.73/0.92 (define @t140 () (forall @t15 @t139)) % 0.73/0.92 (define @t141 () (=> @t25 @t140)) % 0.73/0.92 (define @t142 () (forall @t27 @t141)) % 0.73/0.92 (define @t143 () (=> @t115 @t142)) % 0.73/0.92 (define @t144 () (forall @t46 @t143)) % 0.73/0.92 (define @t145 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t5))) % 0.73/0.92 (define @t146 () (@var "BOUND_VARIABLE_7918" $$unsorted)) % 0.73/0.92 (define @t147 () (@var "BOUND_VARIABLE_7914" $$unsorted)) % 0.73/0.92 (define @t148 () (@var "BOUND_VARIABLE_7916" $$unsorted)) % 0.73/0.92 (define @t149 () (tptp.u1_struct_0 @t147)) % 0.73/0.92 (define @t150 () (tptp.m1_rmod_2 (tptp.k1_rmod_5 @t3 @t147 (tptp.k5_subset_1 @t149 @t148 @t146)) @t3 (tptp.k2_rmod_3 @t3 @t147 (tptp.k1_rmod_5 @t3 @t147 @t148) (tptp.k1_rmod_5 @t3 @t147 @t146)))) % 0.73/0.92 (define @t151 () (tptp.k1_zfmisc_1 @t149)) % 0.73/0.92 (define @t152 () (not (tptp.m1_subset_1 @t146 @t151))) % 0.73/0.92 (define @t153 () (not (tptp.m1_subset_1 @t148 @t151))) % 0.73/0.92 (define @t154 () (not (tptp.l1_vectsp_2 @t147 @t3))) % 0.73/0.92 (define @t155 () (not (tptp.v5_vectsp_2 @t147 @t3))) % 0.73/0.92 (define @t156 () (not (tptp.v6_rlvect_1 @t147))) % 0.73/0.92 (define @t157 () (not (tptp.v5_rlvect_1 @t147))) % 0.73/0.92 (define @t158 () (not (tptp.v4_rlvect_1 @t147))) % 0.73/0.92 (define @t159 () (not (tptp.v3_rlvect_1 @t147))) % 0.73/0.92 (define @t160 () (tptp.v3_struct_0 @t147)) % 0.73/0.92 (define @t161 () (not @t29)) % 0.73/0.92 (define @t162 () (not @t30)) % 0.73/0.92 (define @t163 () (not @t33)) % 0.73/0.92 (define @t164 () (not @t34)) % 0.73/0.92 (define @t165 () (not @t35)) % 0.73/0.92 (define @t166 () (not @t36)) % 0.73/0.92 (define @t167 () (not @t37)) % 0.73/0.92 (define @t168 () (not @t38)) % 0.73/0.92 (define @t169 () (not @t39)) % 0.73/0.92 (define @t170 () (not @t40)) % 0.73/0.92 (define @t171 () (not @t41)) % 0.73/0.92 (define @t172 () (or @t42 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t31 @t162 @t161 @t160 @t159 @t158 @t157 @t156 @t155 @t154 @t153 @t152 @t150)) % 0.73/0.92 (define @t173 () (@list @t3 @t147 @t148 @t146)) % 0.73/0.92 (define @t174 () (forall @t173 @t172)) % 0.73/0.92 (define @t175 () (@quantifiers_skolemize @t174 2)) % 0.73/0.92 (define @t176 () (@quantifiers_skolemize @t174 3)) % 0.73/0.92 (define @t177 () (@list @t175 @t176)) % 0.73/0.92 (define @t178 () (not @t63)) % 0.73/0.92 (define @t179 () (not @t64)) % 0.73/0.92 (define @t180 () (or @t179 @t178)) % 0.73/0.92 (define @t181 () (not @t65)) % 0.73/0.92 (define @t182 () (@quantifiers_skolemize @t174 1)) % 0.73/0.92 (define @t183 () (tptp.u1_struct_0 @t182)) % 0.73/0.92 (define @t184 () (@list @t183 @t175 @t176)) % 0.73/0.92 (define @t185 () (or @t160 @t159 @t158 @t157 @t156 @t155 @t154 @t153 @t152 @t150)) % 0.73/0.92 (define @t186 () (or @t42 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t31 @t162 @t161 @t185)) % 0.73/0.92 (define @t187 () (forall @t173 @t186)) % 0.73/0.92 (define @t188 () (@list @t147 @t148 @t146)) % 0.73/0.92 (define @t189 () (forall @t188 @t186)) % 0.73/0.92 (define @t190 () (forall @t188 @t185)) % 0.73/0.92 (define @t191 () (@var "BOUND_VARIABLE_7879" $$unsorted)) % 0.73/0.92 (define @t192 () (@var "BOUND_VARIABLE_7877" $$unsorted)) % 0.73/0.92 (define @t193 () (or @t42 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t31 @t162 @t161 @t190)) % 0.73/0.92 (define @t194 () (tptp.m1_rmod_2 (tptp.k1_rmod_5 @t3 @t2 (tptp.k5_subset_1 @t7 @t192 @t191)) @t3 (tptp.k2_rmod_3 @t3 @t2 (tptp.k1_rmod_5 @t3 @t2 @t192) (tptp.k1_rmod_5 @t3 @t2 @t191)))) % 0.73/0.92 (define @t195 () (not (tptp.m1_subset_1 @t191 @t9))) % 0.73/0.92 (define @t196 () (not (tptp.m1_subset_1 @t192 @t9))) % 0.73/0.92 (define @t197 () (not @t17)) % 0.73/0.92 (define @t198 () (not @t18)) % 0.73/0.92 (define @t199 () (not @t19)) % 0.73/0.92 (define @t200 () (not @t20)) % 0.73/0.92 (define @t201 () (not @t21)) % 0.73/0.92 (define @t202 () (not @t22)) % 0.73/0.92 (define @t203 () (or @t23 @t202 @t201 @t200 @t199 @t198 @t197 @t196 @t195 @t194)) % 0.73/0.92 (define @t204 () (@list @t2 @t192 @t191)) % 0.73/0.92 (define @t205 () (forall @t204 @t203)) % 0.73/0.92 (define @t206 () (or @t42 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t31 @t162 @t161 @t205)) % 0.73/0.92 (define @t207 () (or @t42 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t31 @t162 @t161)) % 0.73/0.92 (define @t208 () (not @t32)) % 0.73/0.92 (define @t209 () (not @t43)) % 0.73/0.92 (define @t210 () (or @t209 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t208 @t162 @t161)) % 0.73/0.92 (define @t211 () (not @t44)) % 0.73/0.92 (define @t212 () (or @t196 @t195 @t194)) % 0.73/0.92 (define @t213 () (or @t23 @t202 @t201 @t200 @t199 @t198 @t197 @t212)) % 0.73/0.92 (define @t214 () (forall @t204 @t213)) % 0.73/0.92 (define @t215 () (@list @t192 @t191)) % 0.73/0.92 (define @t216 () (forall @t215 @t213)) % 0.73/0.92 (define @t217 () (forall @t215 @t212)) % 0.73/0.92 (define @t218 () (@var "BOUND_VARIABLE_7850" $$unsorted)) % 0.73/0.92 (define @t219 () (or @t23 @t202 @t201 @t200 @t199 @t198 @t197 @t217)) % 0.73/0.92 (define @t220 () (tptp.m1_rmod_2 (tptp.k1_rmod_5 @t3 @t2 (tptp.k5_subset_1 @t7 @t5 @t218)) @t3 (tptp.k2_rmod_3 @t3 @t2 @t6 (tptp.k1_rmod_5 @t3 @t2 @t218)))) % 0.73/0.92 (define @t221 () (not (tptp.m1_subset_1 @t218 @t9))) % 0.73/0.92 (define @t222 () (not @t13)) % 0.73/0.92 (define @t223 () (or @t222 @t221 @t220)) % 0.73/0.92 (define @t224 () (@list @t5 @t218)) % 0.73/0.92 (define @t225 () (forall @t224 @t223)) % 0.73/0.92 (define @t226 () (or @t23 @t202 @t201 @t200 @t199 @t198 @t197 @t225)) % 0.73/0.92 (define @t227 () (or @t23 @t202 @t201 @t200 @t199 @t198 @t197)) % 0.73/0.92 (define @t228 () (not @t24)) % 0.73/0.92 (define @t229 () (or @t228 @t202 @t201 @t200 @t199 @t198 @t197)) % 0.73/0.92 (define @t230 () (not @t25)) % 0.73/0.92 (define @t231 () (or @t221 @t220)) % 0.73/0.92 (define @t232 () (or @t222 @t231)) % 0.73/0.92 (define @t233 () (forall @t224 @t232)) % 0.73/0.92 (define @t234 () (@list @t218)) % 0.73/0.92 (define @t235 () (forall @t234 @t232)) % 0.73/0.92 (define @t236 () (forall @t234 @t231)) % 0.73/0.92 (define @t237 () (@list @t1)) % 0.73/0.92 (define @t238 () (or @t222 @t236)) % 0.73/0.92 (define @t239 () (not @t10)) % 0.73/0.92 (define @t240 () (forall @t11 (or @t239 @t8))) % 0.73/0.92 (define @t241 () (tptp.k1_zfmisc_1 @t183)) % 0.73/0.92 (define @t242 () (tptp.m1_subset_1 @t176 @t241)) % 0.73/0.92 (define @t243 () (@quantifiers_skolemize @t174 0)) % 0.73/0.92 (define @t244 () (tptp.k1_rmod_5 @t243 @t182 @t176)) % 0.73/0.92 (define @t245 () (tptp.k1_rmod_5 @t243 @t182 @t175)) % 0.73/0.92 (define @t246 () (tptp.k5_subset_1 @t183 @t175 @t176)) % 0.73/0.92 (define @t247 () (tptp.k1_rmod_5 @t243 @t182 @t246)) % 0.73/0.92 (define @t248 () (tptp.m1_rmod_2 @t247 @t243 (tptp.k2_rmod_3 @t243 @t182 @t245 @t244))) % 0.73/0.92 (define @t249 () (not @t242)) % 0.73/0.92 (define @t250 () (tptp.m1_subset_1 @t175 @t241)) % 0.73/0.92 (define @t251 () (not @t250)) % 0.73/0.92 (define @t252 () (tptp.l1_vectsp_2 @t182 @t243)) % 0.73/0.92 (define @t253 () (not @t252)) % 0.73/0.92 (define @t254 () (tptp.v5_vectsp_2 @t182 @t243)) % 0.73/0.92 (define @t255 () (not @t254)) % 0.73/0.92 (define @t256 () (tptp.v6_rlvect_1 @t182)) % 0.73/0.92 (define @t257 () (not @t256)) % 0.73/0.92 (define @t258 () (tptp.v5_rlvect_1 @t182)) % 0.73/0.92 (define @t259 () (not @t258)) % 0.73/0.92 (define @t260 () (tptp.v4_rlvect_1 @t182)) % 0.73/0.92 (define @t261 () (not @t260)) % 0.73/0.92 (define @t262 () (tptp.v3_rlvect_1 @t182)) % 0.73/0.92 (define @t263 () (not @t262)) % 0.73/0.92 (define @t264 () (tptp.v3_struct_0 @t182)) % 0.73/0.92 (define @t265 () (tptp.l3_vectsp_1 @t243)) % 0.73/0.92 (define @t266 () (not @t265)) % 0.73/0.92 (define @t267 () (tptp.v2_vectsp_2 @t243)) % 0.73/0.92 (define @t268 () (not @t267)) % 0.73/0.92 (define @t269 () (tptp.v10_vectsp_1 @t243)) % 0.73/0.92 (define @t270 () (tptp.v8_vectsp_1 @t243)) % 0.73/0.92 (define @t271 () (not @t270)) % 0.73/0.92 (define @t272 () (tptp.v7_vectsp_1 @t243)) % 0.73/0.92 (define @t273 () (not @t272)) % 0.73/0.92 (define @t274 () (tptp.v6_vectsp_1 @t243)) % 0.73/0.92 (define @t275 () (not @t274)) % 0.73/0.92 (define @t276 () (tptp.v7_group_1 @t243)) % 0.73/0.92 (define @t277 () (not @t276)) % 0.73/0.92 (define @t278 () (tptp.v4_group_1 @t243)) % 0.73/0.92 (define @t279 () (not @t278)) % 0.73/0.92 (define @t280 () (tptp.v6_rlvect_1 @t243)) % 0.73/0.92 (define @t281 () (not @t280)) % 0.73/0.92 (define @t282 () (tptp.v5_rlvect_1 @t243)) % 0.73/0.92 (define @t283 () (not @t282)) % 0.73/0.92 (define @t284 () (tptp.v4_rlvect_1 @t243)) % 0.73/0.92 (define @t285 () (not @t284)) % 0.73/0.92 (define @t286 () (tptp.v3_rlvect_1 @t243)) % 0.73/0.92 (define @t287 () (not @t286)) % 0.73/0.92 (define @t288 () (tptp.v3_struct_0 @t243)) % 0.73/0.92 (define @t289 () (or @t288 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t268 @t266 @t264 @t263 @t261 @t259 @t257 @t255 @t253 @t251 @t249 @t248)) % 0.73/0.92 (define @t290 () (@list true)) % 0.73/0.92 (define @t291 () (@list @t289)) % 0.73/0.92 (define @t292 () (= @t246 (tptp.k3_xboole_0 @t175 @t176))) % 0.73/0.92 (define @t293 () (or @t251 @t249 @t292)) % 0.73/0.92 (define @t294 () (@list false false false)) % 0.73/0.92 (define @t295 () (tptp.r1_tarski @t246 @t176)) % 0.73/0.92 (define @t296 () (@var "BOUND_VARIABLE_8379" $$unsorted)) % 0.73/0.92 (define @t297 () (@var "BOUND_VARIABLE_8375" $$unsorted)) % 0.73/0.92 (define @t298 () (@var "BOUND_VARIABLE_8377" $$unsorted)) % 0.73/0.92 (define @t299 () (tptp.m1_rmod_2 (tptp.k1_rmod_5 @t3 @t297 @t298) @t3 (tptp.k1_rmod_5 @t3 @t297 @t296))) % 0.73/0.92 (define @t300 () (not (tptp.r1_tarski @t298 @t296))) % 0.73/0.92 (define @t301 () (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t297))) % 0.73/0.92 (define @t302 () (not (tptp.m1_subset_1 @t296 @t301))) % 0.73/0.92 (define @t303 () (not (tptp.m1_subset_1 @t298 @t301))) % 0.73/0.92 (define @t304 () (not (tptp.l1_vectsp_2 @t297 @t3))) % 0.73/0.92 (define @t305 () (not (tptp.v5_vectsp_2 @t297 @t3))) % 0.73/0.92 (define @t306 () (not (tptp.v6_rlvect_1 @t297))) % 0.73/0.92 (define @t307 () (not (tptp.v5_rlvect_1 @t297))) % 0.73/0.92 (define @t308 () (not (tptp.v4_rlvect_1 @t297))) % 0.73/0.92 (define @t309 () (not (tptp.v3_rlvect_1 @t297))) % 0.73/0.92 (define @t310 () (tptp.v3_struct_0 @t297)) % 0.73/0.92 (define @t311 () (or @t310 @t309 @t308 @t307 @t306 @t305 @t304 @t303 @t302 @t300 @t299)) % 0.73/0.92 (define @t312 () (or @t42 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t31 @t162 @t161 @t311)) % 0.73/0.92 (define @t313 () (forall (@list @t3 @t297 @t298 @t296) @t312)) % 0.73/0.92 (define @t314 () (@list @t297 @t298 @t296)) % 0.73/0.92 (define @t315 () (forall @t314 @t312)) % 0.73/0.92 (define @t316 () (forall @t314 @t311)) % 0.73/0.92 (define @t317 () (@var "BOUND_VARIABLE_8354" $$unsorted)) % 0.73/0.92 (define @t318 () (@var "BOUND_VARIABLE_8352" $$unsorted)) % 0.73/0.92 (define @t319 () (or @t42 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t31 @t162 @t161 @t316)) % 0.73/0.92 (define @t320 () (tptp.m1_rmod_2 (tptp.k1_rmod_5 @t3 @t2 @t318) @t3 (tptp.k1_rmod_5 @t3 @t2 @t317))) % 0.73/0.92 (define @t321 () (not (tptp.r1_tarski @t318 @t317))) % 0.73/0.92 (define @t322 () (not (tptp.m1_subset_1 @t317 @t9))) % 0.73/0.92 (define @t323 () (not (tptp.m1_subset_1 @t318 @t9))) % 0.73/0.92 (define @t324 () (or @t23 @t202 @t201 @t200 @t199 @t198 @t197 @t323 @t322 @t321 @t320)) % 0.73/0.92 (define @t325 () (@list @t2 @t318 @t317)) % 0.73/0.92 (define @t326 () (forall @t325 @t324)) % 0.73/0.92 (define @t327 () (or @t42 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t31 @t162 @t161 @t326)) % 0.73/0.92 (define @t328 () (or @t323 @t322 @t321 @t320)) % 0.73/0.92 (define @t329 () (or @t23 @t202 @t201 @t200 @t199 @t198 @t197 @t328)) % 0.73/0.92 (define @t330 () (forall @t325 @t329)) % 0.73/0.92 (define @t331 () (@list @t318 @t317)) % 0.73/0.92 (define @t332 () (forall @t331 @t329)) % 0.73/0.92 (define @t333 () (forall @t331 @t328)) % 0.73/0.92 (define @t334 () (@var "BOUND_VARIABLE_8334" $$unsorted)) % 0.73/0.92 (define @t335 () (or @t23 @t202 @t201 @t200 @t199 @t198 @t197 @t333)) % 0.73/0.92 (define @t336 () (tptp.m1_rmod_2 @t6 @t3 (tptp.k1_rmod_5 @t3 @t2 @t334))) % 0.73/0.92 (define @t337 () (not (tptp.r1_tarski @t5 @t334))) % 0.73/0.92 (define @t338 () (not (tptp.m1_subset_1 @t334 @t9))) % 0.73/0.92 (define @t339 () (or @t222 @t338 @t337 @t336)) % 0.73/0.92 (define @t340 () (@list @t5 @t334)) % 0.73/0.92 (define @t341 () (forall @t340 @t339)) % 0.73/0.92 (define @t342 () (or @t23 @t202 @t201 @t200 @t199 @t198 @t197 @t341)) % 0.73/0.92 (define @t343 () (or @t338 @t337 @t336)) % 0.73/0.92 (define @t344 () (or @t222 @t343)) % 0.73/0.92 (define @t345 () (forall @t340 @t344)) % 0.73/0.92 (define @t346 () (@list @t334)) % 0.73/0.92 (define @t347 () (forall @t346 @t344)) % 0.73/0.92 (define @t348 () (forall @t346 @t343)) % 0.73/0.92 (define @t349 () (or @t222 @t348)) % 0.73/0.92 (define @t350 () (not @t119)) % 0.73/0.92 (define @t351 () (or @t239 @t350 @t118)) % 0.73/0.92 (define @t352 () (forall @t11 @t351)) % 0.73/0.92 (define @t353 () (@var "BOUND_VARIABLE_8506" $$unsorted)) % 0.73/0.92 (define @t354 () (@var "BOUND_VARIABLE_8504" $$unsorted)) % 0.73/0.92 (define @t355 () (@var "BOUND_VARIABLE_8500" $$unsorted)) % 0.73/0.92 (define @t356 () (@var "BOUND_VARIABLE_8502" $$unsorted)) % 0.73/0.92 (define @t357 () (tptp.m1_rmod_2 @t356 @t3 (tptp.k2_rmod_3 @t3 @t355 @t354 @t353))) % 0.73/0.92 (define @t358 () (not (tptp.m1_rmod_2 @t356 @t3 @t353))) % 0.73/0.92 (define @t359 () (not (tptp.m1_rmod_2 @t353 @t3 @t355))) % 0.73/0.92 (define @t360 () (not (tptp.m1_rmod_2 @t356 @t3 @t354))) % 0.73/0.92 (define @t361 () (not (tptp.m1_rmod_2 @t354 @t3 @t355))) % 0.73/0.92 (define @t362 () (not (tptp.m1_rmod_2 @t356 @t3 @t355))) % 0.73/0.92 (define @t363 () (not (tptp.l1_vectsp_2 @t355 @t3))) % 0.73/0.92 (define @t364 () (not (tptp.v5_vectsp_2 @t355 @t3))) % 0.73/0.92 (define @t365 () (not (tptp.v6_rlvect_1 @t355))) % 0.73/0.92 (define @t366 () (not (tptp.v5_rlvect_1 @t355))) % 0.73/0.92 (define @t367 () (not (tptp.v4_rlvect_1 @t355))) % 0.73/0.92 (define @t368 () (not (tptp.v3_rlvect_1 @t355))) % 0.73/0.92 (define @t369 () (tptp.v3_struct_0 @t355)) % 0.73/0.92 (define @t370 () (or @t369 @t368 @t367 @t366 @t365 @t364 @t363 @t362 @t361 @t360 @t359 @t358 @t357)) % 0.73/0.92 (define @t371 () (or @t42 @t171 @t170 @t169 @t168 @t167 @t165 @t164 @t163 @t161 @t370)) % 0.73/0.92 (define @t372 () (forall (@list @t3 @t355 @t356 @t354 @t353) @t371)) % 0.73/0.92 (define @t373 () (@list @t355 @t356 @t354 @t353)) % 0.73/0.92 (define @t374 () (forall @t373 @t371)) % 0.73/0.92 (define @t375 () (forall @t373 @t370)) % 0.73/0.92 (define @t376 () (@var "BOUND_VARIABLE_8476" $$unsorted)) % 0.73/0.92 (define @t377 () (@var "BOUND_VARIABLE_8474" $$unsorted)) % 0.73/0.92 (define @t378 () (@var "BOUND_VARIABLE_8472" $$unsorted)) % 0.73/0.92 (define @t379 () (or @t42 @t171 @t170 @t169 @t168 @t167 @t165 @t164 @t163 @t161 @t375)) % 0.73/0.92 (define @t380 () (tptp.m1_rmod_2 @t378 @t3 (tptp.k2_rmod_3 @t3 @t2 @t377 @t376))) % 0.73/0.92 (define @t381 () (not (tptp.m1_rmod_2 @t378 @t3 @t376))) % 0.73/0.92 (define @t382 () (not (tptp.m1_rmod_2 @t376 @t3 @t2))) % 0.73/0.92 (define @t383 () (not (tptp.m1_rmod_2 @t378 @t3 @t377))) % 0.73/0.92 (define @t384 () (not (tptp.m1_rmod_2 @t377 @t3 @t2))) % 0.73/0.92 (define @t385 () (not (tptp.m1_rmod_2 @t378 @t3 @t2))) % 0.73/0.92 (define @t386 () (or @t23 @t202 @t201 @t200 @t199 @t198 @t197 @t385 @t384 @t383 @t382 @t381 @t380)) % 0.73/0.92 (define @t387 () (@list @t2 @t378 @t377 @t376)) % 0.73/0.92 (define @t388 () (forall @t387 @t386)) % 0.73/0.92 (define @t389 () (or @t42 @t171 @t170 @t169 @t168 @t167 @t165 @t164 @t163 @t161 @t388)) % 0.73/0.92 (define @t390 () (or @t209 @t171 @t170 @t169 @t168 @t167 @t165 @t164 @t163 @t161)) % 0.73/0.92 (define @t391 () (or @t385 @t384 @t383 @t382 @t381 @t380)) % 0.73/0.92 (define @t392 () (or @t23 @t202 @t201 @t200 @t199 @t198 @t197 @t391)) % 0.73/0.92 (define @t393 () (forall @t387 @t392)) % 0.73/0.92 (define @t394 () (@list @t378 @t377 @t376)) % 0.73/0.92 (define @t395 () (forall @t394 @t392)) % 0.73/0.92 (define @t396 () (forall @t394 @t391)) % 0.73/0.92 (define @t397 () (@var "BOUND_VARIABLE_8450" $$unsorted)) % 0.73/0.92 (define @t398 () (@var "BOUND_VARIABLE_8448" $$unsorted)) % 0.73/0.92 (define @t399 () (or @t23 @t202 @t201 @t200 @t199 @t198 @t197 @t396)) % 0.73/0.92 (define @t400 () (tptp.m1_rmod_2 @t5 @t3 (tptp.k2_rmod_3 @t3 @t2 @t398 @t397))) % 0.73/0.92 (define @t401 () (not (tptp.m1_rmod_2 @t5 @t3 @t397))) % 0.73/0.92 (define @t402 () (not (tptp.m1_rmod_2 @t397 @t3 @t2))) % 0.73/0.92 (define @t403 () (not (tptp.m1_rmod_2 @t5 @t3 @t398))) % 0.73/0.92 (define @t404 () (not (tptp.m1_rmod_2 @t398 @t3 @t2))) % 0.73/0.92 (define @t405 () (not @t86)) % 0.73/0.92 (define @t406 () (or @t405 @t404 @t403 @t402 @t401 @t400)) % 0.73/0.92 (define @t407 () (@list @t5 @t398 @t397)) % 0.73/0.92 (define @t408 () (forall @t407 @t406)) % 0.73/0.92 (define @t409 () (or @t23 @t202 @t201 @t200 @t199 @t198 @t197 @t408)) % 0.73/0.92 (define @t410 () (or @t404 @t403 @t402 @t401 @t400)) % 0.73/0.92 (define @t411 () (or @t405 @t410)) % 0.73/0.92 (define @t412 () (forall @t407 @t411)) % 0.73/0.92 (define @t413 () (@list @t398 @t397)) % 0.73/0.92 (define @t414 () (forall @t413 @t411)) % 0.73/0.92 (define @t415 () (forall @t413 @t410)) % 0.73/0.92 (define @t416 () (@var "BOUND_VARIABLE_8430" $$unsorted)) % 0.73/0.92 (define @t417 () (or @t405 @t415)) % 0.73/0.92 (define @t418 () (tptp.m1_rmod_2 @t5 @t3 (tptp.k2_rmod_3 @t3 @t2 @t1 @t416))) % 0.73/0.92 (define @t419 () (not (tptp.m1_rmod_2 @t5 @t3 @t416))) % 0.73/0.92 (define @t420 () (not (tptp.m1_rmod_2 @t416 @t3 @t2))) % 0.73/0.92 (define @t421 () (not @t131)) % 0.73/0.92 (define @t422 () (not @t85)) % 0.73/0.92 (define @t423 () (or @t422 @t421 @t420 @t419 @t418)) % 0.73/0.92 (define @t424 () (@list @t1 @t416)) % 0.73/0.92 (define @t425 () (forall @t424 @t423)) % 0.73/0.92 (define @t426 () (or @t420 @t419 @t418)) % 0.73/0.92 (define @t427 () (or @t422 @t421 @t426)) % 0.73/0.92 (define @t428 () (forall @t424 @t427)) % 0.73/0.92 (define @t429 () (@list @t416)) % 0.73/0.92 (define @t430 () (forall @t429 @t427)) % 0.73/0.92 (define @t431 () (forall @t429 @t426)) % 0.73/0.92 (define @t432 () (or @t422 @t421 @t431)) % 0.73/0.92 (define @t433 () (not @t130)) % 0.73/0.92 (define @t434 () (not @t134)) % 0.73/0.92 (define @t435 () (or @t434 @t433 @t129)) % 0.73/0.92 (define @t436 () (forall @t135 @t435)) % 0.73/0.92 (define @t437 () (or @t422 @t421 @t436)) % 0.73/0.92 (define @t438 () (or @t421 @t436)) % 0.73/0.92 (define @t439 () (or @t421 @t435)) % 0.73/0.92 (define @t440 () (or @t434 @t421 @t433 @t129)) % 0.73/0.92 (define @t441 () (or @t421 @t433 @t129)) % 0.73/0.92 (define @t442 () (tptp.r1_tarski @t246 @t175)) % 0.73/0.92 (define @t443 () (tptp.m1_subset_1 @t246 @t241)) % 0.73/0.92 (define @t444 () (or @t251 @t249 @t443)) % 0.73/0.92 (define @t445 () (tptp.m1_rmod_2 @t247 @t243 @t245)) % 0.73/0.92 (define @t446 () (not @t442)) % 0.73/0.92 (define @t447 () (not @t443)) % 0.73/0.92 (define @t448 () (or @t288 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t268 @t266 @t264 @t263 @t261 @t259 @t257 @t255 @t253 @t447 @t251 @t446 @t445)) % 0.73/0.92 (define @t449 () (or @t209 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t208 @t162 @t161 @t228 @t202 @t201 @t200 @t199 @t198 @t197 @t222)) % 0.73/0.92 (define @t450 () (tptp.m1_rmod_2 @t247 @t243 @t182)) % 0.73/0.92 (define @t451 () (and (tptp.v3_vectsp_2 @t247 @t243) @t450)) % 0.73/0.92 (define @t452 () (or @t288 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t268 @t266 @t264 @t263 @t261 @t259 @t257 @t255 @t253 @t447 @t451)) % 0.73/0.92 (define @t453 () (@list true false false false false false false false false false true false false true false false false false false false false false)) % 0.73/0.92 (define @t454 () (@list false)) % 0.73/0.92 (define @t455 () (tptp.m1_rmod_2 @t244 @t243 @t182)) % 0.73/0.92 (define @t456 () (and (tptp.v3_vectsp_2 @t244 @t243) @t455)) % 0.73/0.92 (define @t457 () (or @t288 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t268 @t266 @t264 @t263 @t261 @t259 @t257 @t255 @t253 @t249 @t456)) % 0.73/0.92 (define @t458 () (tptp.m1_rmod_2 @t245 @t243 @t182)) % 0.73/0.92 (define @t459 () (and (tptp.v3_vectsp_2 @t245 @t243) @t458)) % 0.73/0.92 (define @t460 () (or @t288 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t268 @t266 @t264 @t263 @t261 @t259 @t257 @t255 @t253 @t251 @t459)) % 0.73/0.92 (define @t461 () (tptp.m1_rmod_2 @t247 @t243 @t244)) % 0.73/0.92 (define @t462 () (not @t461)) % 0.73/0.92 (define @t463 () (not @t455)) % 0.73/0.92 (define @t464 () (not @t445)) % 0.73/0.92 (define @t465 () (not @t458)) % 0.73/0.92 (define @t466 () (not @t450)) % 0.73/0.92 (define @t467 () (or @t288 @t287 @t285 @t283 @t281 @t279 @t275 @t273 @t271 @t266 @t264 @t263 @t261 @t259 @t257 @t255 @t253 @t466 @t465 @t464 @t463 @t462 @t248)) % 0.73/0.92 (define @t468 () (not @t295)) % 0.73/0.92 (define @t469 () (or @t288 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t268 @t266 @t264 @t263 @t261 @t259 @t257 @t255 @t253 @t447 @t249 @t468 @t461)) % 0.73/0.92 (assume @p1 @t48) % 0.73/0.92 (assume @p2 (forall @t53 (=> @t52 (=> @t50 (= @t2 (tptp.g1_vectsp_2 @t3 @t7 (tptp.u1_rlvect_1 @t2) (tptp.u2_struct_0 @t2) @t49)))))) % 0.73/0.92 (assume @p3 (forall @t53 (=> @t54 (not (tptp.r2_hidden @t2 @t3))))) % 0.73/0.92 (assume @p4 (forall @t57 (=> @t56 (tptp.v1_relat_1 @t5)))) % 0.73/0.92 (assume @p5 (forall @t46 (=> @t59 (=> (and @t43 @t36 @t33) @t58)))) % 0.73/0.92 (assume @p6 (forall @t46 (=> @t59 (=> (and @t43 @t36 @t35) @t58)))) % 0.73/0.92 (assume @p7 (forall @t53 (= @t60 (tptp.k3_xboole_0 @t2 @t3)))) % 0.73/0.92 (assume @p8 (forall @t57 (=> @t65 (= @t61 (tptp.k5_subset_1 @t3 @t5 @t2))))) % 0.73/0.92 (assume @p9 (forall @t80 (=> @t79 (and @t68 (tptp.l1_vectsp_2 @t67 @t3))))) % 0.73/0.92 (assume @p10 @t83) % 0.73/0.92 (assume @p11 true) % 0.73/0.92 (assume @p12 (forall (@list @t3 @t2 @t5 @t1) (=> (and @t43 @t41 @t40 @t39 @t38 @t37 @t35 @t34 @t33 @t29 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t86 @t85) (and (tptp.v3_vectsp_2 @t84 @t3) (tptp.m1_rmod_2 @t84 @t3 @t2))))) % 0.73/0.92 (assume @p13 @t88) % 0.73/0.92 (assume @p14 (forall @t46 (=> @t89 @t51))) % 0.73/0.92 (assume @p15 (forall @t46 (=> @t91 @t90))) % 0.73/0.92 (assume @p16 (forall @t46 (=> @t59 @t89))) % 0.73/0.92 (assume @p17 (forall @t46 (=> @t51 (forall @t27 (=> @t17 (tptp.l1_rlvect_1 @t2)))))) % 0.73/0.92 (assume @p18 (forall @t46 (=> @t90 @t51))) % 0.73/0.92 (assume @p19 (forall @t46 (=> @t92 (and @t59 @t90)))) % 0.73/0.92 (assume @p20 (forall @t46 (=> @t29 (and @t91 @t92)))) % 0.73/0.92 (assume @p21 (forall @t53 (=> @t99 (forall @t15 (=> @t86 (and @t98 @t97 @t96 @t95 @t94 @t93 (tptp.l1_vectsp_2 @t5 @t3))))))) % 0.73/0.92 (assume @p22 (forall @t57 (=> @t100 @t56))) % 0.73/0.92 (assume @p23 (forall @t46 (=> @t91 (and (tptp.v1_funct_1 @t102) (tptp.v1_funct_2 @t102 @t101 @t69) (tptp.m2_relset_1 @t102 @t101 @t69))))) % 0.73/0.92 (assume @p24 (forall @t53 (=> @t52 (and (tptp.v1_funct_1 @t49) (tptp.v1_funct_2 @t49 @t103 @t7) (tptp.m2_relset_1 @t49 @t103 @t7))))) % 0.73/0.92 (assume @p25 (forall @t46 (=> @t90 (tptp.m1_subset_1 (tptp.u2_struct_0 @t3) @t69)))) % 0.73/0.92 (assume @p26 (exists @t46 @t89)) % 0.73/0.92 (assume @p27 (exists @t46 @t91)) % 0.73/0.92 (assume @p28 (exists @t46 @t51)) % 0.73/0.92 (assume @p29 (exists @t46 @t59)) % 0.73/0.92 (assume @p30 (forall @t46 (=> @t51 (exists @t27 @t17)))) % 0.73/0.92 (assume @p31 (exists @t46 @t90)) % 0.73/0.92 (assume @p32 (exists @t46 @t92)) % 0.73/0.92 (assume @p33 (exists @t46 @t29)) % 0.73/0.92 (assume @p34 (forall @t53 (exists @t15 @t104))) % 0.73/0.92 (assume @p35 (forall @t53 (=> @t99 (exists @t15 @t86)))) % 0.73/0.92 (assume @p36 (forall @t46 (exists @t27 (tptp.m1_subset_1 @t2 @t3)))) % 0.73/0.92 (assume @p37 (forall @t53 (exists @t15 @t100))) % 0.73/0.92 (assume @p38 (forall @t46 (=> @t105 (not (tptp.v1_xboole_0 @t69))))) % 0.73/0.92 (assume @p39 (forall @t46 (not (tptp.v1_xboole_0 @t62)))) % 0.73/0.92 (assume @p40 (forall @t80 (=> (and @t51 @t107 @t78 @t77 @t76 @t74 @t73 @t72 @t71) (and (not (tptp.v3_struct_0 @t67)) @t68)))) % 0.73/0.92 (assume @p41 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.73/0.92 (assume @p42 (forall @t53 (=> (and @t109 @t107) (not (tptp.v1_xboole_0 @t55))))) % 0.73/0.92 (assume @p43 (forall @t80 (=> @t79 (forall (@list @t114 @t113 @t112 @t111 @t110) (=> (= @t67 (tptp.g1_vectsp_2 @t114 @t113 @t112 @t111 @t110)) (and (= @t3 @t114) (= @t2 @t113) (= @t5 @t112) (= @t1 @t111) (= @t66 @t110))))))) % 0.73/0.92 (assume @p44 (forall @t53 (= (tptp.k3_xboole_0 @t3 @t3) @t3))) % 0.73/0.92 (assume @p45 (forall @t57 (=> @t65 (= (tptp.k5_subset_1 @t3 @t2 @t2) @t2)))) % 0.73/0.92 (assume @p46 (forall @t46 (=> @t115 (exists @t27 (and @t17 @t24 @t22 @t21 @t20 @t19 @t50))))) % 0.73/0.92 (assume @p47 (forall @t46 (=> @t115 (exists @t27 (and @t17 @t24 @t22 @t21 @t20 @t19 @t50 @t18))))) % 0.73/0.92 (assume @p48 (forall @t53 (=> @t99 (exists @t15 (and @t86 @t98 @t97 @t96 @t95 @t94 (tptp.v3_vectsp_2 @t5 @t3) @t93))))) % 0.73/0.92 (assume @p49 (forall @t46 (=> @t109 (exists @t27 (and @t64 @t107))))) % 0.73/0.92 (assume @p50 (exists @t46 @t108)) % 0.73/0.92 (assume @p51 (forall @t46 (exists @t27 (and @t64 @t106)))) % 0.73/0.92 (assume @p52 (exists @t46 @t109)) % 0.73/0.92 (assume @p53 (exists @t46 (and @t51 @t43))) % 0.73/0.92 (assume @p54 (exists @t46 (and @t90 @t43))) % 0.73/0.92 (assume @p55 (forall @t46 (=> @t105 (exists @t27 (and (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t69)) @t107))))) % 0.73/0.92 (assume @p56 (forall @t46 (=> @t51 (exists @t27 (and @t17 @t50))))) % 0.73/0.92 (assume @p57 (forall @t46 (=> @t51 (exists @t27 (and @t17 @t24))))) % 0.73/0.92 (assume @p58 @t117) % 0.73/0.92 (assume @p59 (forall @t57 (= @t100 @t104))) % 0.73/0.92 (assume @p60 (forall @t53 (tptp.r1_tarski @t3 @t3))) % 0.73/0.92 (assume @p61 @t127) % 0.73/0.92 (assume @p62 (forall @t53 (tptp.r1_tarski @t60 @t3))) % 0.73/0.92 (assume @p63 (forall @t53 (=> @t54 @t128))) % 0.73/0.92 (assume @p64 @t144) % 0.73/0.92 (assume @p65 (forall @t46 (= (tptp.k3_xboole_0 @t3 tptp.k1_xboole_0) tptp.k1_xboole_0))) % 0.73/0.92 (assume @p66 (forall @t53 (=> @t128 (or @t106 @t54)))) % 0.73/0.92 (assume @p67 (forall @t53 (= (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t2)) (tptp.r1_tarski @t3 @t2)))) % 0.73/0.92 (assume @p68 (forall @t57 (=> (and @t54 @t145) (tptp.m1_subset_1 @t3 @t5)))) % 0.73/0.92 (assume @p69 (forall @t57 (not (and @t54 @t145 (tptp.v1_xboole_0 @t5))))) % 0.73/0.92 (assume @p70 (forall @t46 (=> @t108 (= @t3 tptp.k1_xboole_0)))) % 0.73/0.92 (assume @p71 (forall @t53 (not (and @t54 @t106)))) % 0.73/0.92 (assume @p72 (forall @t53 (not (and @t108 (not (= @t3 @t2)) @t106)))) % 0.73/0.92 (step @p73 :rule evaluate :args ((= false true))) % 0.73/0.92 (step @p74 :rule instantiate :premises (@p62) :args ((@list @t176 @t175))) % 0.73/0.92 (step @p75 :rule true_intro :premises (@p74)) % 0.73/0.92 (step @p76 :rule refl :args (@t176)) % 0.73/0.92 (step @p77 :rule instantiate :premises (@p7) :args (@t177)) % 0.73/0.92 (step @p78 :rule aci_norm :args ((= (or @t180 @t116) (or @t179 @t178 @t116)))) % 0.73/0.92 (step @p79 :rule refl :args (@t116)) % 0.73/0.92 (step @p80 :rule bool-and-de-morgan :args (@t64 @t63 true)) % 0.73/0.92 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or @t181 @t116))) % 0.73/0.92 (step @p82 :rule trans :premises (@p81 @p78)) % 0.73/0.92 (step @p83 :rule bool-impl-elim :args (@t65 @t116)) % 0.73/0.92 (step @p84 :rule trans :premises (@p83 @p82)) % 0.73/0.92 (step @p85 :rule cong :premises (@p84) :args (@t117)) % 0.73/0.92 (step @p86 :rule eq_resolve :premises (@p58 @p85)) % 0.73/0.92 (step @p87 :rule instantiate :premises (@p86) :args (@t184)) % 0.73/0.92 (step @p88 :rule aci_norm :args ((= @t186 @t172))) % 0.73/0.92 (step @p89 :rule cong :premises (@p88) :args (@t187)) % 0.73/0.92 (step @p90 :rule quant-merge-prenex :args ((= (forall @t46 @t189) @t187))) % 0.73/0.92 (step @p91 :rule alpha_equiv :args (@t190 (@list @t147 @t148 @t146) (@list @t2 @t192 @t191))) % 0.73/0.92 (step @p92 :rule refl :args (@t161)) % 0.73/0.92 (step @p93 :rule refl :args (@t162)) % 0.73/0.92 (step @p94 :rule refl :args (@t31)) % 0.73/0.92 (step @p95 :rule refl :args (@t163)) % 0.73/0.92 (step @p96 :rule refl :args (@t164)) % 0.73/0.92 (step @p97 :rule refl :args (@t165)) % 0.73/0.92 (step @p98 :rule refl :args (@t166)) % 0.73/0.92 (step @p99 :rule refl :args (@t167)) % 0.73/0.92 (step @p100 :rule refl :args (@t168)) % 0.73/0.92 (step @p101 :rule refl :args (@t169)) % 0.73/0.92 (step @p102 :rule refl :args (@t170)) % 0.73/0.92 (step @p103 :rule refl :args (@t171)) % 0.73/0.92 (step @p104 :rule refl :args (@t42)) % 0.73/0.92 (step @p105 :rule nary_cong :premises (@p104 @p103 @p102 @p101 @p100 @p99 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p91) :args (@t193)) % 0.73/0.92 (step @p106 :rule quant-miniscope-or :args ((= @t189 @t193))) % 0.73/0.92 (step @p107 :rule trans :premises (@p106 @p105)) % 0.73/0.92 (step @p108 :rule symm :premises (@p107)) % 0.73/0.92 (step @p109 :rule cong :premises (@p108) :args ((forall @t46 @t206))) % 0.73/0.92 (step @p110 :rule trans :premises (@p109 @p90)) % 0.73/0.92 (step @p111 :rule trans :premises (@p110 @p89)) % 0.73/0.92 (step @p112 :rule aci_norm :args ((= (or @t207 @t205) @t206))) % 0.73/0.92 (step @p113 :rule refl :args (@t205)) % 0.73/0.92 (step @p114 :rule bool-double-not-elim :args (@t31)) % 0.73/0.92 (step @p115 :rule bool-double-not-elim :args (@t42)) % 0.73/0.92 (step @p116 :rule nary_cong :premises (@p115 @p103 @p102 @p101 @p100 @p99 @p98 @p97 @p96 @p95 @p114 @p93 @p92) :args (@t210)) % 0.73/0.92 (step @p117 :rule aci_norm :args ((= (or @t209 (or @t171 (or @t170 (or @t169 (or @t168 (or @t167 (or @t166 (or @t165 (or @t164 (or @t163 (or @t208 (or @t162 @t161)))))))))))) @t210))) % 0.73/0.92 (step @p118 :rule trans :premises (@p117 @p116)) % 0.73/0.92 (step @p119 :rule bool-and-de-morgan :args (@t30 @t29 true)) % 0.73/0.92 (step @p120 :rule refl :args (@t208)) % 0.73/0.92 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or @t208 (not (and @t30 @t29))))) % 0.73/0.92 (step @p122 :rule bool-and-de-morgan :args (@t32 @t30 (and @t29))) % 0.73/0.92 (step @p123 :rule trans :premises (@p122 @p121)) % 0.73/0.92 (step @p124 :rule nary_cong :premises (@p95 @p123) :args ((or @t163 (not (and @t32 @t30 @t29))))) % 0.73/0.92 (step @p125 :rule bool-and-de-morgan :args (@t33 @t32 (and @t30 @t29))) % 0.73/0.92 (step @p126 :rule trans :premises (@p125 @p124)) % 0.73/0.92 (step @p127 :rule nary_cong :premises (@p96 @p126) :args ((or @t164 (not (and @t33 @t32 @t30 @t29))))) % 0.73/0.92 (step @p128 :rule bool-and-de-morgan :args (@t34 @t33 (and @t32 @t30 @t29))) % 0.73/0.92 (step @p129 :rule trans :premises (@p128 @p127)) % 0.73/0.92 (step @p130 :rule nary_cong :premises (@p97 @p129) :args ((or @t165 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((or @t289 (not @t273)))) % 0.73/0.92 (step @p546 :rule cnf_or_neg :args (@t289 8)) % 0.73/0.92 (step @p547 :rule eq_resolve :premises (@p546 @p545)) % 0.73/0.92 (step @p548 :rule reordering :premises (@p547) :args ((or @t272 @t289))) % 0.73/0.92 (step @p549 :rule chain_m_resolution :premises (@p548 @p241) :args (@t272 @t290 @t291)) % 0.73/0.92 (step @p550 :rule bool-double-not-elim :args (@t274)) % 0.73/0.92 (step @p551 :rule nary_cong :premises (@p243 @p550) :args ((or @t289 (not @t275)))) % 0.73/0.92 (step @p552 :rule cnf_or_neg :args (@t289 7)) % 0.73/0.92 (step @p553 :rule eq_resolve :premises (@p552 @p551)) % 0.73/0.92 (step @p554 :rule reordering :premises (@p553) :args ((or @t274 @t289))) % 0.73/0.92 (step @p555 :rule chain_m_resolution :premises (@p554 @p241) :args (@t274 @t290 @t291)) % 0.73/0.92 (step @p556 :rule bool-double-not-elim :args (@t276)) % 0.73/0.92 (step @p557 :rule nary_cong :premises (@p243 @p556) :args ((or @t289 (not @t277)))) % 0.73/0.92 (step @p558 :rule cnf_or_neg :args (@t289 6)) % 0.73/0.92 (step @p559 :rule eq_resolve :premises (@p558 @p557)) % 0.73/0.92 (step @p560 :rule reordering :premises (@p559) :args ((or @t276 @t289))) % 0.73/0.92 (step @p561 :rule chain_m_resolution :premises (@p560 @p241) :args (@t276 @t290 @t291)) % 0.73/0.92 (step @p562 :rule bool-double-not-elim :args (@t278)) % 0.73/0.92 (step @p563 :rule nary_cong :premises (@p243 @p562) :args ((or @t289 (not @t279)))) % 0.73/0.92 (step @p564 :rule cnf_or_neg :args (@t289 5)) % 0.73/0.92 (step @p565 :rule eq_resolve :premises (@p564 @p563)) % 0.73/0.92 (step @p566 :rule reordering :premises (@p565) :args ((or @t278 @t289))) % 0.73/0.92 (step @p567 :rule chain_m_resolution :premises (@p566 @p241) :args (@t278 @t290 @t291)) % 0.73/0.92 (step @p568 :rule bool-double-not-elim :args (@t280)) % 0.73/0.92 (step @p569 :rule nary_cong :premises (@p243 @p568) :args ((or @t289 (not @t281)))) % 0.73/0.92 (step @p570 :rule cnf_or_neg :args (@t289 4)) % 0.73/0.92 (step @p571 :rule eq_resolve :premises (@p570 @p569)) % 0.73/0.92 (step @p572 :rule reordering :premises (@p571) :args ((or @t280 @t289))) % 0.73/0.92 (step @p573 :rule chain_m_resolution :premises (@p572 @p241) :args (@t280 @t290 @t291)) % 0.73/0.92 (step @p574 :rule bool-double-not-elim :args (@t282)) % 0.73/0.92 (step @p575 :rule nary_cong :premises (@p243 @p574) :args ((or @t289 (not @t283)))) % 0.73/0.92 (step @p576 :rule cnf_or_neg :args (@t289 3)) % 0.73/0.92 (step @p577 :rule eq_resolve :premises (@p576 @p575)) % 0.73/0.92 (step @p578 :rule reordering :premises (@p577) :args ((or @t282 @t289))) % 0.73/0.92 (step @p579 :rule chain_m_resolution :premises (@p578 @p241) :args (@t282 @t290 @t291)) % 0.73/0.92 (step @p580 :rule bool-double-not-elim :args (@t284)) % 0.73/0.92 (step @p581 :rule nary_cong :premises (@p243 @p580) :args ((or @t289 (not @t285)))) % 0.73/0.92 (step @p582 :rule cnf_or_neg :args (@t289 2)) % 0.73/0.92 (step @p583 :rule eq_resolve :premises (@p582 @p581)) % 0.73/0.92 (step @p584 :rule reordering :premises (@p583) :args ((or @t284 @t289))) % 0.73/0.92 (step @p585 :rule chain_m_resolution :premises (@p584 @p241) :args (@t284 @t290 @t291)) % 0.73/0.92 (step @p586 :rule bool-double-not-elim :args (@t286)) % 0.73/0.92 (step @p587 :rule nary_cong :premises (@p243 @p586) :args ((or @t289 (not @t287)))) % 0.73/0.92 (step @p588 :rule cnf_or_neg :args (@t289 1)) % 0.73/0.92 (step @p589 :rule eq_resolve :premises (@p588 @p587)) % 0.73/0.92 (step @p590 :rule reordering :premises (@p589) :args ((or @t286 @t289))) % 0.73/0.92 (step @p591 :rule chain_m_resolution :premises (@p590 @p241) :args (@t286 @t290 @t291)) % 0.73/0.92 (step @p592 :rule cnf_or_neg :args (@t289 0)) % 0.73/0.92 (step @p593 :rule chain_m_resolution :premises (@p592 @p241) :args ((not @t288) @t290 @t291)) % 0.73/0.92 (step @p594 :rule cnf_or_pos :args (@t448)) % 0.73/0.92 (step @p595 :rule reordering :premises (@p594) :args ((or @t288 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t268 @t266 @t264 @t263 @t261 @t259 @t257 @t255 @t253 @t251 @t447 @t445 @t446 (not @t448)))) % 0.73/0.92 (step @p596 :rule chain_m_resolution :premises (@p595 @p593 @p591 @p585 @p579 @p573 @p567 @p561 @p555 @p549 @p543 @p537 @p535 @p529 @p523 @p521 @p515 @p509 @p503 @p497 @p491 @p254 @p485 @p473 @p467) :args (@t445 (@list true false false false false false false false false false true false false true false false false false false false false false false false) (@list @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t272 @t270 @t269 @t267 @t265 @t264 @t262 @t260 @t258 @t256 @t254 @t252 @t250 @t443 @t442 @t448))) % 0.73/0.92 (step @p597 :rule aci_norm :args ((= (or (or @t42 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t31 @t162 @t161 @t23 @t202 @t201 @t200 @t199 @t198 @t197 @t222) @t81) (or @t42 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t31 @t162 @t161 @t23 @t202 @t201 @t200 @t199 @t198 @t197 @t222 @t81)))) % 0.73/0.92 (step @p598 :rule refl :args (@t81)) % 0.73/0.92 (step @p599 :rule nary_cong :premises (@p115 @p103 @p102 @p101 @p100 @p99 @p98 @p97 @p96 @p95 @p114 @p93 @p92 @p182 @p171 @p170 @p169 @p168 @p167 @p166 @p214) :args (@t449)) % 0.73/0.92 (step @p600 :rule aci_norm :args ((= (or @t209 (or @t171 (or @t170 (or @t169 (or @t168 (or @t167 (or @t166 (or @t165 (or @t164 (or @t163 (or @t208 (or @t162 (or @t161 (or @t228 (or @t202 (or @t201 (or @t200 (or @t199 (or @t198 (or @t197 @t222)))))))))))))))))))) @t449))) % 0.73/0.92 (step @p601 :rule trans :premises (@p600 @p599)) % 0.73/0.92 (step @p602 :rule bool-and-de-morgan :args (@t17 @t13 true)) % 0.73/0.92 (step @p603 :rule nary_cong :premises (@p167 @p602) :args ((or @t198 (not (and @t17 @t13))))) % 0.73/0.92 (step @p604 :rule bool-and-de-morgan :args (@t18 @t17 (and @t13))) % 0.73/0.92 (step @p605 :rule trans :premises (@p604 @p603)) % 0.73/0.92 (step @p606 :rule nary_cong :premises (@p168 @p605) :args ((or @t199 (not (and @t18 @t17 @t13))))) % 0.73/0.92 (step @p607 :rule bool-and-de-morgan :args (@t19 @t18 (and @t17 @t13))) % 0.73/0.92 (step @p608 :rule trans :premises (@p607 @p606)) % 0.73/0.92 (step @p609 :rule nary_cong :premises (@p169 @p608) :args ((or @t200 (not (and @t19 @t18 @t17 @t13))))) % 0.73/0.92 (step @p610 :rule bool-and-de-morgan :args (@t20 @t19 (and @t18 @t17 @t13))) % 0.73/0.92 (step @p611 :rule trans :premises (@p610 @p609)) % 0.73/0.92 (step @p612 :rule nary_cong :premises (@p170 @p611) :args ((or @t201 (not (and @t20 @t19 @t18 @t17 @t13))))) % 0.73/0.92 (step @p613 :rule bool-and-de-morgan :args (@t21 @t20 (and @t19 @t18 @t17 @t13))) % 0.73/0.92 (step @p614 :rule trans :premises (@p613 @p612)) % 0.73/0.92 (step @p615 :rule nary_cong :premises (@p171 @p614) :args ((or @t202 (not (and @t21 @t20 @t19 @t18 @t17 @t13))))) % 0.73/0.92 (step @p616 :rule bool-and-de-morgan :args (@t22 @t21 (and @t20 @t19 @t18 @t17 @t13))) % 0.73/0.92 (step @p617 :rule trans :premises (@p616 @p615)) % 0.73/0.92 (step @p618 :rule nary_cong :premises (@p199 @p617) :args ((or @t228 (not (and @t22 @t21 @t20 @t19 @t18 @t17 @t13))))) % 0.73/0.92 (step @p619 :rule bool-and-de-morgan :args (@t24 @t22 (and @t21 @t20 @t19 @t18 @t17 @t13))) % 0.73/0.92 (step @p620 :rule trans :premises (@p619 @p618)) % 0.73/0.92 (step @p621 :rule nary_cong :premises (@p92 @p620) :args ((or @t161 (not (and @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t13))))) % 0.73/0.92 (step @p622 :rule bool-and-de-morgan :args (@t29 @t24 (and @t22 @t21 @t20 @t19 @t18 @t17 @t13))) % 0.73/0.92 (step @p623 :rule trans :premises (@p622 @p621)) % 0.73/0.92 (step @p624 :rule nary_cong :premises (@p93 @p623) :args ((or @t162 (not (and @t29 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t13))))) % 0.73/0.92 (step @p625 :rule bool-and-de-morgan :args (@t30 @t29 (and @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t13))) % 0.73/0.92 (step @p626 :rule trans :premises (@p625 @p624)) % 0.73/0.92 (step @p627 :rule nary_cong :premises (@p120 @p626) :args ((or @t208 (not (and @t30 @t29 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t13))))) % 0.73/0.92 (step @p628 :rule bool-and-de-morgan :args (@t32 @t30 (and @t29 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t13))) % 0.73/0.92 (step @p629 :rule trans :premises (@p628 @p627)) % 0.73/0.92 (step @p630 :rule nary_cong :premises (@p95 @p629) :args ((or @t163 (not (and @t32 @t30 @t29 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t13))))) % 0.73/0.92 (step @p631 :rule bool-and-de-morgan :args (@t33 @t32 (and @t30 @t29 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t13))) % 0.73/0.92 (step @p632 :rule trans :premises (@p631 @p630)) % 0.73/0.92 (step @p633 :rule nary_cong :premises (@p96 @p632) :args ((or @t164 (not (and @t33 @t32 @t30 @t29 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t13))))) % 0.73/0.92 (step @p634 :rule bool-and-de-morgan :args (@t34 @t33 (and @t32 @t30 @t29 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t13))) % 0.73/0.92 (step @p635 :rule trans :premises (@p634 @p633)) % 0.73/0.92 (step @p636 :rule nary_cong :premises (@p97 @p635) :args ((or @t165 (not (and @t34 @t33 @t32 @t30 @t29 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t13))))) % 0.73/0.92 (step @p637 :rule bool-and-de-morgan :args (@t35 @t34 (and @t33 @t32 @t30 @t29 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t13))) % 0.73/0.92 (step @p638 :rule trans :premises (@p637 @p636)) % 0.73/0.92 (step @p639 :rule nary_cong :premises (@p98 @p638) :args ((or @t166 (not (and @t35 @t34 @t33 @t32 @t30 @t29 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t13))))) % 0.73/0.92 (step @p640 :rule bool-and-de-morgan :args (@t36 @t35 (and @t34 @t33 @t32 @t30 @t29 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t13))) % 0.73/0.92 (step @p641 :rule trans :premises (@p640 @p639)) % 0.73/0.92 (step @p642 :rule nary_cong :premises (@p99 @p641) :args ((or @t167 (not (and @t36 @t35 @t34 @t33 @t32 @t30 @t29 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t13))))) % 0.73/0.92 (step @p643 :rule bool-and-de-morgan :args (@t37 @t36 (and @t35 @t34 @t33 @t32 @t30 @t29 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t13))) % 0.73/0.92 (step @p644 :rule trans :premises (@p643 @p642)) % 0.73/0.92 (step @p645 :rule nary_cong :premises (@p100 @p644) :args ((or @t168 (not (and @t37 @t36 @t35 @t34 @t33 @t32 @t30 @t29 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t13))))) % 0.73/0.92 (step @p646 :rule bool-and-de-morgan :args (@t38 @t37 (and @t36 @t35 @t34 @t33 @t32 @t30 @t29 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t13))) % 0.73/0.92 (step @p647 :rule trans :premises (@p646 @p645)) % 0.73/0.92 (step @p648 :rule nary_cong :premises (@p101 @p647) :args ((or @t169 (not (and @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t30 @t29 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t13))))) % 0.73/0.92 (step @p649 :rule bool-and-de-morgan :args (@t39 @t38 (and @t37 @t36 @t35 @t34 @t33 @t32 @t30 @t29 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t13))) % 0.73/0.92 (step @p650 :rule trans :premises (@p649 @p648)) % 0.73/0.92 (step @p651 :rule nary_cong :premises (@p102 @p650) :args ((or @t170 (not (and @t39 @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t30 @t29 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t13))))) % 0.73/0.92 (step @p652 :rule bool-and-de-morgan :args (@t40 @t39 (and @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t30 @t29 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t13))) % 0.73/0.92 (step @p653 :rule trans :premises (@p652 @p651)) % 0.73/0.92 (step @p654 :rule nary_cong :premises (@p103 @p653) :args ((or @t171 (not (and @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t30 @t29 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t13))))) % 0.73/0.92 (step @p655 :rule bool-and-de-morgan :args (@t41 @t40 (and @t39 @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t30 @t29 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t13))) % 0.73/0.92 (step @p656 :rule trans :premises (@p655 @p654)) % 0.73/0.92 (step @p657 :rule nary_cong :premises (@p151 @p656) :args ((or @t209 (not (and @t41 @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t30 @t29 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t13))))) % 0.73/0.92 (step @p658 :rule bool-and-de-morgan :args (@t43 @t41 (and @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t33 @t32 @t30 @t29 @t24 @t22 @t21 @t20 @t19 @t18 @t17 @t13))) % 0.73/0.92 (step @p659 :rule trans :premises (@p658 @p657)) % 0.73/0.92 (step @p660 :rule trans :premises (@p659 @p601)) % 0.73/0.92 (step @p661 :rule nary_cong :premises (@p660 @p598) :args ((or (not @t82) @t81))) % 0.73/0.92 (step @p662 :rule trans :premises (@p661 @p597)) % 0.73/0.92 (step @p663 :rule bool-impl-elim :args (@t82 @t81)) % 0.73/0.92 (step @p664 :rule trans :premises (@p663 @p662)) % 0.73/0.92 (step @p665 :rule cong :premises (@p664) :args (@t83)) % 0.73/0.92 (step @p666 :rule eq_resolve :premises (@p10 @p665)) % 0.73/0.92 (step @p667 :rule instantiate :premises (@p666) :args ((@list @t243 @t182 @t246))) % 0.73/0.92 (step @p668 :rule cnf_or_pos :args (@t452)) % 0.73/0.92 (step @p669 :rule reordering :premises (@p668) :args ((or @t288 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t268 @t266 @t264 @t263 @t261 @t259 @t257 @t255 @t253 @t447 @t451 (not @t452)))) % 0.73/0.92 (step @p670 :rule chain_m_resolution :premises (@p669 @p593 @p591 @p585 @p579 @p573 @p567 @p561 @p555 @p549 @p543 @p537 @p535 @p529 @p523 @p521 @p515 @p509 @p503 @p497 @p491 @p485 @p667) :args (@t451 @t453 (@list @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t272 @t270 @t269 @t267 @t265 @t264 @t262 @t260 @t258 @t256 @t254 @t252 @t443 @t452))) % 0.73/0.92 (step @p671 :rule cnf_and_pos :args (@t451 1)) % 0.73/0.92 (step @p672 :rule reordering :premises (@p671) :args ((or @t450 (not @t451)))) % 0.73/0.92 (step @p673 :rule chain_m_resolution :premises (@p672 @p670) :args (@t450 @t454 (@list @t451))) % 0.73/0.92 (step @p674 :rule instantiate :premises (@p666) :args ((@list @t243 @t182 @t176))) % 0.73/0.92 (step @p675 :rule cnf_or_pos :args (@t457)) % 0.73/0.92 (step @p676 :rule reordering :premises (@p675) :args ((or @t288 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t268 @t266 @t264 @t263 @t261 @t259 @t257 @t255 @t253 @t249 @t456 (not @t457)))) % 0.73/0.92 (step @p677 :rule chain_m_resolution :premises (@p676 @p593 @p591 @p585 @p579 @p573 @p567 @p561 @p555 @p549 @p543 @p537 @p535 @p529 @p523 @p521 @p515 @p509 @p503 @p497 @p491 @p248 @p674) :args (@t456 @t453 (@list @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t272 @t270 @t269 @t267 @t265 @t264 @t262 @t260 @t258 @t256 @t254 @t252 @t242 @t457))) % 0.73/0.92 (step @p678 :rule cnf_and_pos :args (@t456 1)) % 0.73/0.92 (step @p679 :rule reordering :premises (@p678) :args ((or @t455 (not @t456)))) % 0.73/0.92 (step @p680 :rule chain_m_resolution :premises (@p679 @p677) :args (@t455 @t454 (@list @t456))) % 0.73/0.92 (step @p681 :rule instantiate :premises (@p666) :args ((@list @t243 @t182 @t175))) % 0.73/0.92 (step @p682 :rule cnf_or_pos :args (@t460)) % 0.73/0.92 (step @p683 :rule reordering :premises (@p682) :args ((or @t288 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t268 @t266 @t264 @t263 @t261 @t259 @t257 @t255 @t253 @t251 @t459 (not @t460)))) % 0.73/0.92 (step @p684 :rule chain_m_resolution :premises (@p683 @p593 @p591 @p585 @p579 @p573 @p567 @p561 @p555 @p549 @p543 @p537 @p535 @p529 @p523 @p521 @p515 @p509 @p503 @p497 @p491 @p254 @p681) :args (@t459 @t453 (@list @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t272 @t270 @t269 @t267 @t265 @t264 @t262 @t260 @t258 @t256 @t254 @t252 @t250 @t460))) % 0.73/0.92 (step @p685 :rule cnf_and_pos :args (@t459 1)) % 0.73/0.92 (step @p686 :rule reordering :premises (@p685) :args ((or @t458 (not @t459)))) % 0.73/0.92 (step @p687 :rule chain_m_resolution :premises (@p686 @p684) :args (@t458 @t454 (@list @t459))) % 0.73/0.92 (step @p688 :rule cnf_or_neg :args (@t289 22)) % 0.73/0.92 (step @p689 :rule chain_m_resolution :premises (@p688 @p241) :args ((not @t248) @t290 @t291)) % 0.73/0.92 (step @p690 :rule cnf_or_pos :args (@t467)) % 0.73/0.92 (step @p691 :rule reordering :premises (@p690) :args ((or @t288 @t287 @t285 @t283 @t281 @t279 @t275 @t273 @t271 @t266 @t264 @t263 @t261 @t259 @t257 @t255 @t253 @t248 @t465 @t463 @t466 @t464 @t462 (not @t467)))) % 0.73/0.92 (step @p692 :rule chain_m_resolution :premises (@p691 @p593 @p591 @p585 @p579 @p573 @p567 @p555 @p549 @p543 @p529 @p523 @p521 @p515 @p509 @p503 @p497 @p491 @p689 @p687 @p680 @p673 @p596 @p466) :args (@t462 (@list true false false false false false false false false false true false false false false false false true false false false false false) (@list @t288 @t286 @t284 @t282 @t280 @t278 @t274 @t272 @t270 @t265 @t264 @t262 @t260 @t258 @t256 @t254 @t252 @t248 @t458 @t455 @t450 @t445 @t467))) % 0.73/0.92 (step @p693 :rule cnf_or_pos :args (@t469)) % 0.73/0.92 (step @p694 :rule reordering :premises (@p693) :args ((or @t288 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t273 @t271 @t269 @t268 @t266 @t264 @t263 @t261 @t259 @t257 @t255 @t253 @t249 @t447 @t461 @t468 (not @t469)))) % 0.73/0.92 (step @p695 :rule chain_m_resolution :premises (@p694 @p593 @p591 @p585 @p579 @p573 @p567 @p561 @p555 @p549 @p543 @p537 @p535 @p529 @p523 @p521 @p515 @p509 @p503 @p497 @p491 @p248 @p485 @p692 @p330) :args (@t468 (@list true false false false false false false false false false true false false true false false false false false false false false true false) (@list @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t272 @t270 @t269 @t267 @t265 @t264 @t262 @t260 @t258 @t256 @t254 @t252 @t242 @t443 @t461 @t469))) % 0.73/0.92 (step @p696 :rule false_intro :premises (@p695)) % 0.73/0.92 (step @p697 :rule symm :premises (@p696)) % 0.73/0.92 (step @p698 :rule trans :premises (@p697 @p259 @p75)) % 0.73/0.92 (step @p699 false :rule eq_resolve :premises (@p698 @p73)) % 0.73/0.92 ) % 0.73/0.92 % SZS output end Proof % 0.73/0.92 % cvc5 exiting %------------------------------------------------------------------------------