%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG219+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 : n011.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 08:05:32 AM UTC 2026 % Result : Theorem 0.36s 0.93s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : ALG219+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n011.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 01:41:34 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.93 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.93 % SZS status Theorem % 0.36/0.93 % SZS output start Proof % 0.36/0.93 ( % 0.36/0.93 (declare-sort $$unsorted 0) % 0.36/0.93 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.l2_struct_0 (-> $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.l1_rlvect_1 (-> $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.k2_rmod_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.93 (declare-const tptp.v6_rlvect_1 (-> $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.93 (declare-const tptp.v3_rlvect_1 (-> $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.v3_vectsp_2 (-> $$unsorted $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.v5_vectsp_2 (-> $$unsorted $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.u1_vectsp_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.93 (declare-const tptp.v5_rlvect_1 (-> $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.l1_vectsp_2 (-> $$unsorted $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.36/0.93 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.36/0.93 (declare-const tptp.k1_rlvect_1 (-> $$unsorted $$unsorted)) % 0.36/0.93 (declare-const tptp.k2_group_1 (-> $$unsorted $$unsorted)) % 0.36/0.93 (declare-const tptp.k1_rmod_5 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.93 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.l3_vectsp_1 (-> $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.u1_rlvect_1 (-> $$unsorted $$unsorted)) % 0.36/0.93 (declare-const tptp.v2_group_1 (-> $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.v2_vectsp_2 (-> $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.l2_vectsp_1 (-> $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.l1_vectsp_1 (-> $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.v10_vectsp_1 (-> $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.l1_group_1 (-> $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.v8_vectsp_1 (-> $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.v7_vectsp_1 (-> $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.v6_vectsp_1 (-> $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.36/0.93 (declare-const tptp.m1_rmod_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.v4_rlvect_1 (-> $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.v7_group_1 (-> $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.v4_group_1 (-> $$unsorted Bool)) % 0.36/0.93 (declare-const tptp.u2_struct_0 (-> $$unsorted $$unsorted)) % 0.36/0.93 (declare-const tptp.g1_vectsp_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.93 (define @t1 () (@var "B" $$unsorted)) % 0.36/0.93 (define @t2 () (@var "C" $$unsorted)) % 0.36/0.93 (define @t3 () (@var "A" $$unsorted)) % 0.36/0.93 (define @t4 () (tptp.k1_rmod_5 @t3 @t1 @t2)) % 0.36/0.93 (define @t5 () (tptp.k2_group_1 @t3)) % 0.36/0.93 (define @t6 () (tptp.k1_rlvect_1 @t3)) % 0.36/0.93 (define @t7 () (= @t6 @t5)) % 0.36/0.93 (define @t8 () (or @t7 (= @t4 @t1))) % 0.36/0.93 (define @t9 () (tptp.u1_struct_0 @t1)) % 0.36/0.93 (define @t10 () (= @t2 @t9)) % 0.36/0.93 (define @t11 () (=> @t10 @t8)) % 0.36/0.93 (define @t12 () (tptp.k1_zfmisc_1 @t9)) % 0.36/0.93 (define @t13 () (tptp.m1_subset_1 @t2 @t12)) % 0.36/0.93 (define @t14 () (=> @t13 @t11)) % 0.36/0.93 (define @t15 () (@list @t2)) % 0.36/0.93 (define @t16 () (forall @t15 @t14)) % 0.36/0.93 (define @t17 () (tptp.l1_vectsp_2 @t1 @t3)) % 0.36/0.93 (define @t18 () (tptp.v5_vectsp_2 @t1 @t3)) % 0.36/0.93 (define @t19 () (tptp.v3_vectsp_2 @t1 @t3)) % 0.36/0.93 (define @t20 () (tptp.v6_rlvect_1 @t1)) % 0.36/0.93 (define @t21 () (tptp.v5_rlvect_1 @t1)) % 0.36/0.93 (define @t22 () (tptp.v4_rlvect_1 @t1)) % 0.36/0.93 (define @t23 () (tptp.v3_rlvect_1 @t1)) % 0.36/0.93 (define @t24 () (tptp.v3_struct_0 @t1)) % 0.36/0.93 (define @t25 () (not @t24)) % 0.36/0.93 (define @t26 () (and @t25 @t23 @t22 @t21 @t20 @t19 @t18 @t17)) % 0.36/0.93 (define @t27 () (=> @t26 @t16)) % 0.36/0.93 (define @t28 () (@list @t1)) % 0.36/0.93 (define @t29 () (forall @t28 @t27)) % 0.36/0.93 (define @t30 () (tptp.l3_vectsp_1 @t3)) % 0.36/0.93 (define @t31 () (tptp.v2_vectsp_2 @t3)) % 0.36/0.93 (define @t32 () (tptp.v10_vectsp_1 @t3)) % 0.36/0.93 (define @t33 () (not @t32)) % 0.36/0.93 (define @t34 () (tptp.v8_vectsp_1 @t3)) % 0.36/0.93 (define @t35 () (tptp.v7_vectsp_1 @t3)) % 0.36/0.93 (define @t36 () (tptp.v6_vectsp_1 @t3)) % 0.36/0.93 (define @t37 () (tptp.v7_group_1 @t3)) % 0.36/0.93 (define @t38 () (tptp.v4_group_1 @t3)) % 0.36/0.93 (define @t39 () (tptp.v6_rlvect_1 @t3)) % 0.36/0.93 (define @t40 () (tptp.v5_rlvect_1 @t3)) % 0.36/0.93 (define @t41 () (tptp.v4_rlvect_1 @t3)) % 0.36/0.93 (define @t42 () (tptp.v3_rlvect_1 @t3)) % 0.36/0.93 (define @t43 () (tptp.v3_struct_0 @t3)) % 0.36/0.93 (define @t44 () (not @t43)) % 0.36/0.93 (define @t45 () (and @t44 @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t33 @t31 @t30)) % 0.36/0.93 (define @t46 () (=> @t45 @t29)) % 0.36/0.93 (define @t47 () (@list @t3)) % 0.36/0.93 (define @t48 () (forall @t47 @t46)) % 0.36/0.93 (define @t49 () (not @t48)) % 0.36/0.93 (define @t50 () (tptp.u1_vectsp_2 @t3 @t1)) % 0.36/0.93 (define @t51 () (tptp.g1_vectsp_2 @t3 @t9 (tptp.u1_rlvect_1 @t1) (tptp.u2_struct_0 @t1) @t50)) % 0.36/0.93 (define @t52 () (= @t1 @t51)) % 0.36/0.93 (define @t53 () (=> @t19 @t52)) % 0.36/0.93 (define @t54 () (tptp.l1_struct_0 @t3)) % 0.36/0.93 (define @t55 () (and @t54 @t17)) % 0.36/0.93 (define @t56 () (@list @t3 @t1)) % 0.36/0.93 (define @t57 () (forall @t56 (=> @t55 @t53))) % 0.36/0.93 (define @t58 () (tptp.r2_hidden @t3 @t1)) % 0.36/0.93 (define @t59 () (tptp.k2_zfmisc_1 @t3 @t1)) % 0.36/0.93 (define @t60 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t59))) % 0.36/0.93 (define @t61 () (@list @t3 @t1 @t2)) % 0.36/0.93 (define @t62 () (and @t44 (tptp.v2_group_1 @t3) @t36 @t34)) % 0.36/0.93 (define @t63 () (tptp.l1_vectsp_1 @t3)) % 0.36/0.93 (define @t64 () (tptp.k2_rmod_2 @t3 @t1)) % 0.36/0.93 (define @t65 () (and @t25 @t23 @t22 @t21 @t20 @t18 @t17)) % 0.36/0.93 (define @t66 () (=> @t65 (= @t64 @t51))) % 0.36/0.93 (define @t67 () (forall @t28 @t66)) % 0.36/0.93 (define @t68 () (and @t44 @t42 @t41 @t40 @t39 @t38 @t36 @t35 @t34 @t30)) % 0.36/0.93 (define @t69 () (=> @t68 @t67)) % 0.36/0.93 (define @t70 () (forall @t47 @t69)) % 0.36/0.93 (define @t71 () (@var "E" $$unsorted)) % 0.36/0.93 (define @t72 () (@var "D" $$unsorted)) % 0.36/0.93 (define @t73 () (tptp.g1_vectsp_2 @t3 @t1 @t2 @t72 @t71)) % 0.36/0.93 (define @t74 () (tptp.v3_vectsp_2 @t73 @t3)) % 0.36/0.93 (define @t75 () (tptp.u1_struct_0 @t3)) % 0.36/0.93 (define @t76 () (tptp.k2_zfmisc_1 @t1 @t75)) % 0.36/0.93 (define @t77 () (tptp.m1_relset_1 @t71 @t76 @t1)) % 0.36/0.93 (define @t78 () (tptp.v1_funct_2 @t71 @t76 @t1)) % 0.36/0.93 (define @t79 () (tptp.v1_funct_1 @t71)) % 0.36/0.93 (define @t80 () (tptp.m1_subset_1 @t72 @t1)) % 0.36/0.93 (define @t81 () (tptp.k2_zfmisc_1 @t1 @t1)) % 0.36/0.93 (define @t82 () (tptp.m1_relset_1 @t2 @t81 @t1)) % 0.36/0.93 (define @t83 () (tptp.v1_funct_2 @t2 @t81 @t1)) % 0.36/0.93 (define @t84 () (tptp.v1_funct_1 @t2)) % 0.36/0.93 (define @t85 () (and @t54 @t84 @t83 @t82 @t80 @t79 @t78 @t77)) % 0.36/0.93 (define @t86 () (@list @t3 @t1 @t2 @t72 @t71)) % 0.36/0.93 (define @t87 () (tptp.l2_struct_0 @t3)) % 0.36/0.93 (define @t88 () (tptp.l1_group_1 @t3)) % 0.36/0.93 (define @t89 () (and (tptp.v3_vectsp_2 @t64 @t3) (tptp.m1_rmod_2 @t64 @t3 @t1))) % 0.36/0.93 (define @t90 () (and @t44 @t42 @t41 @t40 @t39 @t38 @t36 @t35 @t34 @t30 @t25 @t23 @t22 @t21 @t20 @t18 @t17)) % 0.36/0.93 (define @t91 () (forall @t56 (=> @t90 @t89))) % 0.36/0.93 (define @t92 () (tptp.l1_rlvect_1 @t3)) % 0.36/0.93 (define @t93 () (forall @t47 (=> @t92 @t87))) % 0.36/0.93 (define @t94 () (forall @t47 (=> @t87 @t54))) % 0.36/0.93 (define @t95 () (tptp.l2_vectsp_1 @t3)) % 0.36/0.93 (define @t96 () (and @t92 @t95)) % 0.36/0.93 (define @t97 () (forall @t47 (=> @t30 @t96))) % 0.36/0.93 (define @t98 () (tptp.v5_vectsp_2 @t2 @t3)) % 0.36/0.93 (define @t99 () (tptp.v6_rlvect_1 @t2)) % 0.36/0.93 (define @t100 () (tptp.v5_rlvect_1 @t2)) % 0.36/0.93 (define @t101 () (tptp.v4_rlvect_1 @t2)) % 0.36/0.93 (define @t102 () (tptp.v3_rlvect_1 @t2)) % 0.36/0.93 (define @t103 () (not (tptp.v3_struct_0 @t2))) % 0.36/0.93 (define @t104 () (tptp.m1_rmod_2 @t2 @t3 @t1)) % 0.36/0.93 (define @t105 () (tptp.m2_relset_1 @t2 @t3 @t1)) % 0.36/0.93 (define @t106 () (tptp.k2_zfmisc_1 @t75 @t75)) % 0.36/0.93 (define @t107 () (tptp.u1_rlvect_1 @t3)) % 0.36/0.93 (define @t108 () (tptp.k2_zfmisc_1 @t9 @t75)) % 0.36/0.93 (define @t109 () (tptp.m1_relset_1 @t2 @t3 @t1)) % 0.36/0.93 (define @t110 () (and @t44 @t54)) % 0.36/0.93 (define @t111 () (tptp.k1_zfmisc_1 @t3)) % 0.36/0.93 (define @t112 () (tptp.v1_xboole_0 @t1)) % 0.36/0.93 (define @t113 () (not @t112)) % 0.36/0.93 (define @t114 () (tptp.v1_xboole_0 @t3)) % 0.36/0.93 (define @t115 () (not @t114)) % 0.36/0.93 (define @t116 () (@var "J" $$unsorted)) % 0.36/0.93 (define @t117 () (@var "I" $$unsorted)) % 0.36/0.93 (define @t118 () (@var "H" $$unsorted)) % 0.36/0.93 (define @t119 () (@var "G" $$unsorted)) % 0.36/0.93 (define @t120 () (@var "F" $$unsorted)) % 0.36/0.93 (define @t121 () (tptp.m1_subset_1 @t1 @t111)) % 0.36/0.93 (define @t122 () (= @t4 @t72)) % 0.36/0.93 (define @t123 () (or @t7 @t122)) % 0.36/0.93 (define @t124 () (= @t2 (tptp.u1_struct_0 @t72))) % 0.36/0.93 (define @t125 () (=> @t124 @t123)) % 0.36/0.93 (define @t126 () (tptp.m1_rmod_2 @t72 @t3 @t1)) % 0.36/0.93 (define @t127 () (tptp.v3_vectsp_2 @t72 @t3)) % 0.36/0.93 (define @t128 () (and @t127 @t126)) % 0.36/0.93 (define @t129 () (@list @t72)) % 0.36/0.93 (define @t130 () (forall @t129 (=> @t128 @t125))) % 0.36/0.93 (define @t131 () (=> @t13 @t130)) % 0.36/0.93 (define @t132 () (forall @t15 @t131)) % 0.36/0.93 (define @t133 () (=> @t65 @t132)) % 0.36/0.93 (define @t134 () (forall @t28 @t133)) % 0.36/0.93 (define @t135 () (=> @t45 @t134)) % 0.36/0.93 (define @t136 () (forall @t47 @t135)) % 0.36/0.93 (define @t137 () (tptp.m1_subset_1 @t3 @t1)) % 0.36/0.93 (define @t138 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t2))) % 0.36/0.93 (define @t139 () (not @t17)) % 0.36/0.93 (define @t140 () (not @t18)) % 0.36/0.93 (define @t141 () (not @t20)) % 0.36/0.93 (define @t142 () (not @t21)) % 0.36/0.93 (define @t143 () (not @t22)) % 0.36/0.93 (define @t144 () (not @t23)) % 0.36/0.93 (define @t145 () (not @t30)) % 0.36/0.93 (define @t146 () (not @t34)) % 0.36/0.93 (define @t147 () (not @t35)) % 0.36/0.93 (define @t148 () (not @t36)) % 0.36/0.93 (define @t149 () (not @t38)) % 0.36/0.93 (define @t150 () (not @t39)) % 0.36/0.93 (define @t151 () (not @t40)) % 0.36/0.93 (define @t152 () (not @t41)) % 0.36/0.93 (define @t153 () (not @t42)) % 0.36/0.93 (define @t154 () (not @t25)) % 0.36/0.93 (define @t155 () (not @t44)) % 0.36/0.93 (define @t156 () (or @t155 @t153 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t145 @t154 @t144 @t143 @t142 @t141 @t140 @t139)) % 0.36/0.93 (define @t157 () (or @t140 @t139)) % 0.36/0.93 (define @t158 () (or @t154 (or @t144 (or @t143 (or @t142 (or @t141 @t157)))))) % 0.36/0.93 (define @t159 () (not (and @t18 @t17))) % 0.36/0.93 (define @t160 () (not @t65)) % 0.36/0.93 (define @t161 () (@var "BOUND_VARIABLE_7864" $$unsorted)) % 0.36/0.93 (define @t162 () (tptp.u1_struct_0 @t161)) % 0.36/0.93 (define @t163 () (= @t161 (tptp.k1_rmod_5 @t3 @t161 @t162))) % 0.36/0.93 (define @t164 () (not (tptp.m1_subset_1 @t162 (tptp.k1_zfmisc_1 @t162)))) % 0.36/0.93 (define @t165 () (not (tptp.l1_vectsp_2 @t161 @t3))) % 0.36/0.93 (define @t166 () (not (tptp.v5_vectsp_2 @t161 @t3))) % 0.36/0.93 (define @t167 () (not (tptp.v3_vectsp_2 @t161 @t3))) % 0.36/0.93 (define @t168 () (not (tptp.v6_rlvect_1 @t161))) % 0.36/0.93 (define @t169 () (not (tptp.v5_rlvect_1 @t161))) % 0.36/0.93 (define @t170 () (not (tptp.v4_rlvect_1 @t161))) % 0.36/0.93 (define @t171 () (not (tptp.v3_rlvect_1 @t161))) % 0.36/0.93 (define @t172 () (tptp.v3_struct_0 @t161)) % 0.36/0.93 (define @t173 () (not @t31)) % 0.36/0.93 (define @t174 () (not @t37)) % 0.36/0.93 (define @t175 () (or @t43 @t153 @t152 @t151 @t150 @t149 @t174 @t148 @t147 @t146 @t32 @t173 @t145 @t7 @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163)) % 0.36/0.93 (define @t176 () (@list @t3 @t161)) % 0.36/0.93 (define @t177 () (forall @t176 @t175)) % 0.36/0.93 (define @t178 () (@quantifiers_skolemize @t177 1)) % 0.36/0.93 (define @t179 () (@quantifiers_skolemize @t177 0)) % 0.36/0.93 (define @t180 () (@list @t179 @t178)) % 0.36/0.93 (define @t181 () (or @t172 @t171 @t170 @t169 @t168 @t167 @t166 @t165 @t164 @t163)) % 0.36/0.93 (define @t182 () (or @t43 @t153 @t152 @t151 @t150 @t149 @t174 @t148 @t147 @t146 @t32 @t173 @t145 @t7 @t181)) % 0.36/0.93 (define @t183 () (forall @t176 @t182)) % 0.36/0.93 (define @t184 () (@list @t161)) % 0.36/0.93 (define @t185 () (forall @t184 @t182)) % 0.36/0.93 (define @t186 () (forall @t184 @t181)) % 0.36/0.93 (define @t187 () (@list @t1)) % 0.36/0.93 (define @t188 () (or @t43 @t153 @t152 @t151 @t150 @t149 @t174 @t148 @t147 @t146 @t32 @t173 @t145 @t7 @t186)) % 0.36/0.93 (define @t189 () (= @t1 (tptp.k1_rmod_5 @t3 @t1 @t9))) % 0.36/0.93 (define @t190 () (not (tptp.m1_subset_1 @t9 @t12))) % 0.36/0.93 (define @t191 () (not @t19)) % 0.36/0.93 (define @t192 () (or @t24 @t144 @t143 @t142 @t141 @t191 @t140 @t139 @t190 @t189)) % 0.36/0.93 (define @t193 () (forall @t28 @t192)) % 0.36/0.93 (define @t194 () (or @t43 @t153 @t152 @t151 @t150 @t149 @t174 @t148 @t147 @t146 @t32 @t173 @t145 @t7 @t193)) % 0.36/0.93 (define @t195 () (or @t7 @t193)) % 0.36/0.93 (define @t196 () (or @t43 @t153 @t152 @t151 @t150 @t149 @t174 @t148 @t147 @t146 @t32 @t173 @t145)) % 0.36/0.93 (define @t197 () (not @t33)) % 0.36/0.93 (define @t198 () (or @t155 @t153 @t152 @t151 @t150 @t149 @t174 @t148 @t147 @t146 @t197 @t173 @t145)) % 0.36/0.93 (define @t199 () (not @t45)) % 0.36/0.93 (define @t200 () (or @t7 @t192)) % 0.36/0.93 (define @t201 () (or @t24 @t144 @t143 @t142 @t141 @t191 @t140 @t139 @t7 @t190 @t189)) % 0.36/0.93 (define @t202 () (or @t7 @t190 @t189)) % 0.36/0.93 (define @t203 () (or @t154 @t144 @t143 @t142 @t141 @t191 @t140 @t139)) % 0.36/0.93 (define @t204 () (or @t190 @t189)) % 0.36/0.93 (define @t205 () (not (= @t9 @t9))) % 0.36/0.93 (define @t206 () (or @t190 @t205 @t189)) % 0.36/0.93 (define @t207 () (= @t1 @t4)) % 0.36/0.93 (define @t208 () (not @t10)) % 0.36/0.93 (define @t209 () (not @t13)) % 0.36/0.93 (define @t210 () (or @t208 @t209 @t208 @t207)) % 0.36/0.93 (define @t211 () (or @t209 @t208 @t207)) % 0.36/0.93 (define @t212 () (forall @t15 @t211)) % 0.36/0.93 (define @t213 () (or @t7 @t212)) % 0.36/0.93 (define @t214 () (or @t7 @t211)) % 0.36/0.93 (define @t215 () (or @t209 @t208 @t7 @t207)) % 0.36/0.93 (define @t216 () (or @t208 @t7 @t207)) % 0.36/0.93 (define @t217 () (or @t7 @t207)) % 0.36/0.93 (define @t218 () (=> @t10 @t217)) % 0.36/0.93 (define @t219 () (tptp.l1_vectsp_2 @t178 @t179)) % 0.36/0.93 (define @t220 () (tptp.u1_struct_0 @t178)) % 0.36/0.93 (define @t221 () (= @t178 (tptp.k1_rmod_5 @t179 @t178 @t220))) % 0.36/0.93 (define @t222 () (tptp.m1_subset_1 @t220 (tptp.k1_zfmisc_1 @t220))) % 0.36/0.93 (define @t223 () (not @t222)) % 0.36/0.93 (define @t224 () (not @t219)) % 0.36/0.93 (define @t225 () (tptp.v5_vectsp_2 @t178 @t179)) % 0.36/0.93 (define @t226 () (not @t225)) % 0.36/0.93 (define @t227 () (tptp.v3_vectsp_2 @t178 @t179)) % 0.36/0.93 (define @t228 () (not @t227)) % 0.36/0.93 (define @t229 () (tptp.v6_rlvect_1 @t178)) % 0.36/0.93 (define @t230 () (not @t229)) % 0.36/0.93 (define @t231 () (tptp.v5_rlvect_1 @t178)) % 0.36/0.93 (define @t232 () (not @t231)) % 0.36/0.93 (define @t233 () (tptp.v4_rlvect_1 @t178)) % 0.36/0.93 (define @t234 () (not @t233)) % 0.36/0.93 (define @t235 () (tptp.v3_rlvect_1 @t178)) % 0.36/0.93 (define @t236 () (not @t235)) % 0.36/0.93 (define @t237 () (tptp.v3_struct_0 @t178)) % 0.36/0.93 (define @t238 () (= (tptp.k1_rlvect_1 @t179) (tptp.k2_group_1 @t179))) % 0.36/0.93 (define @t239 () (tptp.l3_vectsp_1 @t179)) % 0.36/0.93 (define @t240 () (not @t239)) % 0.36/0.93 (define @t241 () (tptp.v2_vectsp_2 @t179)) % 0.36/0.93 (define @t242 () (not @t241)) % 0.36/0.93 (define @t243 () (tptp.v10_vectsp_1 @t179)) % 0.36/0.93 (define @t244 () (tptp.v8_vectsp_1 @t179)) % 0.36/0.93 (define @t245 () (not @t244)) % 0.36/0.93 (define @t246 () (tptp.v7_vectsp_1 @t179)) % 0.36/0.93 (define @t247 () (not @t246)) % 0.36/0.93 (define @t248 () (tptp.v6_vectsp_1 @t179)) % 0.36/0.93 (define @t249 () (not @t248)) % 0.36/0.93 (define @t250 () (tptp.v7_group_1 @t179)) % 0.36/0.93 (define @t251 () (not @t250)) % 0.36/0.93 (define @t252 () (tptp.v4_group_1 @t179)) % 0.36/0.93 (define @t253 () (not @t252)) % 0.36/0.93 (define @t254 () (tptp.v6_rlvect_1 @t179)) % 0.36/0.93 (define @t255 () (not @t254)) % 0.36/0.93 (define @t256 () (tptp.v5_rlvect_1 @t179)) % 0.36/0.93 (define @t257 () (not @t256)) % 0.36/0.93 (define @t258 () (tptp.v4_rlvect_1 @t179)) % 0.36/0.93 (define @t259 () (not @t258)) % 0.36/0.93 (define @t260 () (tptp.v3_rlvect_1 @t179)) % 0.36/0.93 (define @t261 () (not @t260)) % 0.36/0.93 (define @t262 () (tptp.v3_struct_0 @t179)) % 0.36/0.93 (define @t263 () (or @t262 @t261 @t259 @t257 @t255 @t253 @t251 @t249 @t247 @t245 @t243 @t242 @t240 @t238 @t237 @t236 @t234 @t232 @t230 @t228 @t226 @t224 @t223 @t221)) % 0.36/0.93 (define @t264 () (@list true)) % 0.36/0.93 (define @t265 () (@list @t263)) % 0.36/0.93 (define @t266 () (tptp.k2_rmod_2 @t179 @t178)) % 0.36/0.93 (define @t267 () (tptp.m1_rmod_2 @t266 @t179 @t178)) % 0.36/0.93 (define @t268 () (and (tptp.v3_vectsp_2 @t266 @t179) @t267)) % 0.36/0.93 (define @t269 () (or @t262 @t261 @t259 @t257 @t255 @t253 @t249 @t247 @t245 @t240 @t237 @t236 @t234 @t232 @t230 @t226 @t224 @t268)) % 0.36/0.93 (define @t270 () (@list true false false false false false false false false false true false false false false false false false)) % 0.36/0.93 (define @t271 () (@list false)) % 0.36/0.93 (define @t272 () (@var "BOUND_VARIABLE_7936" $$unsorted)) % 0.36/0.93 (define @t273 () (= (tptp.g1_vectsp_2 @t3 (tptp.u1_struct_0 @t272) (tptp.u1_rlvect_1 @t272) (tptp.u2_struct_0 @t272) (tptp.u1_vectsp_2 @t3 @t272)) (tptp.k2_rmod_2 @t3 @t272))) % 0.36/0.93 (define @t274 () (not (tptp.l1_vectsp_2 @t272 @t3))) % 0.36/0.93 (define @t275 () (not (tptp.v5_vectsp_2 @t272 @t3))) % 0.36/0.93 (define @t276 () (not (tptp.v6_rlvect_1 @t272))) % 0.36/0.93 (define @t277 () (not (tptp.v5_rlvect_1 @t272))) % 0.36/0.93 (define @t278 () (not (tptp.v4_rlvect_1 @t272))) % 0.36/0.93 (define @t279 () (not (tptp.v3_rlvect_1 @t272))) % 0.36/0.93 (define @t280 () (tptp.v3_struct_0 @t272)) % 0.36/0.93 (define @t281 () (or @t280 @t279 @t278 @t277 @t276 @t275 @t274 @t273)) % 0.36/0.93 (define @t282 () (or @t43 @t153 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t145 @t281)) % 0.36/0.93 (define @t283 () (forall (@list @t3 @t272) @t282)) % 0.36/0.93 (define @t284 () (@list @t272)) % 0.36/0.93 (define @t285 () (forall @t284 @t282)) % 0.36/0.93 (define @t286 () (forall @t284 @t281)) % 0.36/0.93 (define @t287 () (or @t43 @t153 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t145 @t286)) % 0.36/0.93 (define @t288 () (= @t51 @t64)) % 0.36/0.93 (define @t289 () (or @t24 @t144 @t143 @t142 @t141 @t140 @t139 @t288)) % 0.36/0.93 (define @t290 () (forall @t28 @t289)) % 0.36/0.93 (define @t291 () (or @t43 @t153 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t145 @t290)) % 0.36/0.93 (define @t292 () (or @t155 @t153 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t145)) % 0.36/0.93 (define @t293 () (or @t24 @t144 @t143 @t142 @t141 @t140 @t139)) % 0.36/0.93 (define @t294 () (or @t154 @t144 @t143 @t142 @t141 @t140 @t139)) % 0.36/0.93 (define @t295 () (tptp.g1_vectsp_2 @t179 @t220 (tptp.u1_rlvect_1 @t178) (tptp.u2_struct_0 @t178) (tptp.u1_vectsp_2 @t179 @t178))) % 0.36/0.93 (define @t296 () (= @t295 @t266)) % 0.36/0.93 (define @t297 () (or @t262 @t261 @t259 @t257 @t255 @t253 @t249 @t247 @t245 @t240 @t237 @t236 @t234 @t232 @t230 @t226 @t224 @t296)) % 0.36/0.93 (define @t298 () (not @t54)) % 0.36/0.93 (define @t299 () (@list @t179)) % 0.36/0.93 (define @t300 () (tptp.l1_rlvect_1 @t179)) % 0.36/0.93 (define @t301 () (and @t300 (tptp.l2_vectsp_1 @t179))) % 0.36/0.93 (define @t302 () (or @t240 @t301)) % 0.36/0.93 (define @t303 () (@list false false)) % 0.36/0.93 (define @t304 () (tptp.l2_struct_0 @t179)) % 0.36/0.93 (define @t305 () (not @t300)) % 0.36/0.93 (define @t306 () (or @t305 @t304)) % 0.36/0.93 (define @t307 () (tptp.l1_struct_0 @t179)) % 0.36/0.93 (define @t308 () (not @t304)) % 0.36/0.93 (define @t309 () (or @t308 @t307)) % 0.36/0.93 (define @t310 () (= @t178 @t295)) % 0.36/0.93 (define @t311 () (not @t307)) % 0.36/0.93 (define @t312 () (or @t311 @t224 @t228 @t310)) % 0.36/0.93 (define @t313 () (tptp.m1_rmod_2 @t178 @t179 @t178)) % 0.36/0.93 (define @t314 () (@var "BOUND_VARIABLE_8369" $$unsorted)) % 0.36/0.93 (define @t315 () (tptp.u1_struct_0 @t314)) % 0.36/0.93 (define @t316 () (@var "BOUND_VARIABLE_8367" $$unsorted)) % 0.36/0.93 (define @t317 () (= @t314 (tptp.k1_rmod_5 @t3 @t316 @t315))) % 0.36/0.93 (define @t318 () (not (tptp.m1_rmod_2 @t314 @t3 @t316))) % 0.36/0.93 (define @t319 () (not (tptp.v3_vectsp_2 @t314 @t3))) % 0.36/0.93 (define @t320 () (not (tptp.m1_subset_1 @t315 (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t316))))) % 0.36/0.93 (define @t321 () (not (tptp.l1_vectsp_2 @t316 @t3))) % 0.36/0.93 (define @t322 () (not (tptp.v5_vectsp_2 @t316 @t3))) % 0.36/0.93 (define @t323 () (not (tptp.v6_rlvect_1 @t316))) % 0.36/0.93 (define @t324 () (not (tptp.v5_rlvect_1 @t316))) % 0.36/0.93 (define @t325 () (not (tptp.v4_rlvect_1 @t316))) % 0.36/0.93 (define @t326 () (not (tptp.v3_rlvect_1 @t316))) % 0.36/0.93 (define @t327 () (tptp.v3_struct_0 @t316)) % 0.36/0.93 (define @t328 () (or @t327 @t326 @t325 @t324 @t323 @t322 @t321 @t320 @t319 @t318 @t317)) % 0.36/0.93 (define @t329 () (or @t43 @t153 @t152 @t151 @t150 @t149 @t174 @t148 @t147 @t146 @t32 @t173 @t145 @t7 @t328)) % 0.36/0.93 (define @t330 () (forall (@list @t3 @t316 @t314) @t329)) % 0.36/0.93 (define @t331 () (@list @t316 @t314)) % 0.36/0.93 (define @t332 () (forall @t331 @t329)) % 0.36/0.93 (define @t333 () (forall @t331 @t328)) % 0.36/0.93 (define @t334 () (@var "BOUND_VARIABLE_8345" $$unsorted)) % 0.36/0.93 (define @t335 () (or @t43 @t153 @t152 @t151 @t150 @t149 @t174 @t148 @t147 @t146 @t32 @t173 @t145 @t7 @t333)) % 0.36/0.93 (define @t336 () (tptp.u1_struct_0 @t334)) % 0.36/0.93 (define @t337 () (= @t334 (tptp.k1_rmod_5 @t3 @t1 @t336))) % 0.36/0.93 (define @t338 () (not (tptp.m1_rmod_2 @t334 @t3 @t1))) % 0.36/0.93 (define @t339 () (not (tptp.v3_vectsp_2 @t334 @t3))) % 0.36/0.93 (define @t340 () (not (tptp.m1_subset_1 @t336 @t12))) % 0.36/0.93 (define @t341 () (or @t24 @t144 @t143 @t142 @t141 @t140 @t139 @t340 @t339 @t338 @t337)) % 0.36/0.93 (define @t342 () (@list @t1 @t334)) % 0.36/0.93 (define @t343 () (forall @t342 @t341)) % 0.36/0.93 (define @t344 () (or @t43 @t153 @t152 @t151 @t150 @t149 @t174 @t148 @t147 @t146 @t32 @t173 @t145 @t7 @t343)) % 0.36/0.93 (define @t345 () (or @t7 @t343)) % 0.36/0.93 (define @t346 () (or @t340 @t339 @t338 @t337)) % 0.36/0.93 (define @t347 () (or @t24 @t144 @t143 @t142 @t141 @t140 @t139 @t346)) % 0.36/0.93 (define @t348 () (forall @t342 @t347)) % 0.36/0.93 (define @t349 () (@list @t334)) % 0.36/0.93 (define @t350 () (forall @t349 @t347)) % 0.36/0.93 (define @t351 () (forall @t349 @t346)) % 0.36/0.93 (define @t352 () (@var "BOUND_VARIABLE_8308" $$unsorted)) % 0.36/0.93 (define @t353 () (@list @t352)) % 0.36/0.93 (define @t354 () (or @t24 @t144 @t143 @t142 @t141 @t140 @t139 @t351)) % 0.36/0.93 (define @t355 () (tptp.u1_struct_0 @t352)) % 0.36/0.93 (define @t356 () (tptp.k1_rmod_5 @t3 @t1 @t355)) % 0.36/0.93 (define @t357 () (= @t352 @t356)) % 0.36/0.93 (define @t358 () (not (tptp.m1_rmod_2 @t352 @t3 @t1))) % 0.36/0.93 (define @t359 () (not (tptp.v3_vectsp_2 @t352 @t3))) % 0.36/0.93 (define @t360 () (not (tptp.m1_subset_1 @t355 @t12))) % 0.36/0.93 (define @t361 () (or @t360 @t359 @t358 @t357)) % 0.36/0.93 (define @t362 () (@list @t352)) % 0.36/0.93 (define @t363 () (forall @t362 @t361)) % 0.36/0.93 (define @t364 () (or @t24 @t144 @t143 @t142 @t141 @t140 @t139 @t363)) % 0.36/0.93 (define @t365 () (forall @t28 @t364)) % 0.36/0.93 (define @t366 () (or @t7 @t365)) % 0.36/0.93 (define @t367 () (or @t7 @t364)) % 0.36/0.93 (define @t368 () (or @t24 @t144 @t143 @t142 @t141 @t140 @t139 @t7 @t363)) % 0.36/0.93 (define @t369 () (or @t7 @t363)) % 0.36/0.93 (define @t370 () (not (= @t355 @t355))) % 0.36/0.93 (define @t371 () (or @t360 @t359 @t358 @t370 (= @t356 @t352))) % 0.36/0.93 (define @t372 () (= @t4 @t352)) % 0.36/0.93 (define @t373 () (not (= @t2 @t355))) % 0.36/0.93 (define @t374 () (or @t373 @t209 @t359 @t358 @t373 @t372)) % 0.36/0.93 (define @t375 () (or @t209 @t359 @t358 @t373 @t372)) % 0.36/0.93 (define @t376 () (forall @t15 @t375)) % 0.36/0.93 (define @t377 () (forall @t362 @t376)) % 0.36/0.93 (define @t378 () (forall (@list @t352 @t2) @t375)) % 0.36/0.93 (define @t379 () (@list @t2 @t352)) % 0.36/0.93 (define @t380 () (or @t359 @t358 @t373 @t372)) % 0.36/0.93 (define @t381 () (or @t209 @t380)) % 0.36/0.93 (define @t382 () (forall @t379 @t381)) % 0.36/0.93 (define @t383 () (forall @t362 @t381)) % 0.36/0.93 (define @t384 () (forall @t362 @t380)) % 0.36/0.93 (define @t385 () (or @t209 @t384)) % 0.36/0.93 (define @t386 () (not @t124)) % 0.36/0.93 (define @t387 () (not @t126)) % 0.36/0.93 (define @t388 () (not @t127)) % 0.36/0.93 (define @t389 () (or @t388 @t387 @t386 @t122)) % 0.36/0.93 (define @t390 () (forall @t129 @t389)) % 0.36/0.93 (define @t391 () (or @t209 @t390)) % 0.36/0.93 (define @t392 () (forall @t15 @t391)) % 0.36/0.93 (define @t393 () (or @t7 @t392)) % 0.36/0.93 (define @t394 () (or @t7 @t391)) % 0.36/0.93 (define @t395 () (or @t209 @t7 @t390)) % 0.36/0.93 (define @t396 () (or @t7 @t390)) % 0.36/0.93 (define @t397 () (or @t7 @t389)) % 0.36/0.93 (define @t398 () (or @t388 @t387 @t386 @t7 @t122)) % 0.36/0.93 (define @t399 () (or @t386 @t7 @t122)) % 0.36/0.93 (define @t400 () (not @t313)) % 0.36/0.93 (define @t401 () (or @t262 @t261 @t259 @t257 @t255 @t253 @t251 @t249 @t247 @t245 @t243 @t242 @t240 @t238 @t237 @t236 @t234 @t232 @t230 @t226 @t224 @t223 @t228 @t400 @t221)) % 0.36/0.93 (assume @p1 @t49) % 0.36/0.93 (assume @p2 @t57) % 0.36/0.93 (assume @p3 (forall @t56 (=> @t58 (not (tptp.r2_hidden @t1 @t3))))) % 0.36/0.93 (assume @p4 (forall @t61 (=> @t60 (tptp.v1_relat_1 @t2)))) % 0.36/0.93 (assume @p5 (forall @t47 (=> @t63 (=> (and @t44 @t37 @t34) @t62)))) % 0.36/0.93 (assume @p6 (forall @t47 (=> @t63 (=> (and @t44 @t37 @t36) @t62)))) % 0.36/0.93 (assume @p7 @t70) % 0.36/0.93 (assume @p8 (forall @t86 (=> @t85 (and @t74 (tptp.l1_vectsp_2 @t73 @t3))))) % 0.36/0.93 (assume @p9 (forall @t47 (=> @t87 (tptp.m1_subset_1 @t6 @t75)))) % 0.36/0.93 (assume @p10 (forall @t61 (=> (and @t44 @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t35 @t34 @t33 @t31 @t30 @t25 @t23 @t22 @t21 @t20 @t18 @t17 @t13) (and (tptp.v3_vectsp_2 @t4 @t3) (tptp.m1_rmod_2 @t4 @t3 @t1))))) % 0.36/0.93 (assume @p11 true) % 0.36/0.93 (assume @p12 (forall @t47 (=> (and @t44 @t88) (tptp.m1_subset_1 @t5 @t75)))) % 0.36/0.93 (assume @p13 @t91) % 0.36/0.93 (assume @p14 (forall @t47 (=> @t88 @t54))) % 0.36/0.93 (assume @p15 @t93) % 0.36/0.93 (assume @p16 (forall @t47 (=> @t63 @t88))) % 0.36/0.93 (assume @p17 (forall @t47 (=> @t54 (forall @t28 (=> @t17 (tptp.l1_rlvect_1 @t1)))))) % 0.36/0.93 (assume @p18 @t94) % 0.36/0.93 (assume @p19 (forall @t47 (=> @t95 (and @t63 @t87)))) % 0.36/0.93 (assume @p20 @t97) % 0.36/0.93 (assume @p21 (forall @t56 (=> @t90 (forall @t15 (=> @t104 (and @t103 @t102 @t101 @t100 @t99 @t98 (tptp.l1_vectsp_2 @t2 @t3))))))) % 0.36/0.93 (assume @p22 (forall @t61 (=> @t105 @t60))) % 0.36/0.93 (assume @p23 (forall @t47 (=> @t92 (and (tptp.v1_funct_1 @t107) (tptp.v1_funct_2 @t107 @t106 @t75) (tptp.m2_relset_1 @t107 @t106 @t75))))) % 0.36/0.93 (assume @p24 (forall @t56 (=> @t55 (and (tptp.v1_funct_1 @t50) (tptp.v1_funct_2 @t50 @t108 @t9) (tptp.m2_relset_1 @t50 @t108 @t9))))) % 0.36/0.93 (assume @p25 (forall @t47 (=> @t87 (tptp.m1_subset_1 (tptp.u2_struct_0 @t3) @t75)))) % 0.36/0.93 (assume @p26 (exists @t47 @t88)) % 0.36/0.93 (assume @p27 (exists @t47 @t92)) % 0.36/0.93 (assume @p28 (exists @t47 @t54)) % 0.36/0.93 (assume @p29 (exists @t47 @t63)) % 0.36/0.93 (assume @p30 (forall @t47 (=> @t54 (exists @t28 @t17)))) % 0.36/0.93 (assume @p31 (exists @t47 @t87)) % 0.36/0.93 (assume @p32 (exists @t47 @t95)) % 0.36/0.93 (assume @p33 (exists @t47 @t30)) % 0.36/0.93 (assume @p34 (forall @t56 (exists @t15 @t109))) % 0.36/0.93 (assume @p35 (forall @t56 (=> @t90 (exists @t15 @t104)))) % 0.36/0.93 (assume @p36 (forall @t47 (exists @t28 (tptp.m1_subset_1 @t1 @t3)))) % 0.36/0.93 (assume @p37 (forall @t56 (exists @t15 @t105))) % 0.36/0.93 (assume @p38 (forall @t47 (=> @t110 (not (tptp.v1_xboole_0 @t75))))) % 0.36/0.93 (assume @p39 (forall @t47 (not (tptp.v1_xboole_0 @t111)))) % 0.36/0.93 (assume @p40 (forall @t86 (=> (and @t54 @t113 @t84 @t83 @t82 @t80 @t79 @t78 @t77) (and (not (tptp.v3_struct_0 @t73)) @t74)))) % 0.36/0.93 (assume @p41 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.36/0.93 (assume @p42 (forall @t56 (=> (and @t115 @t113) (not (tptp.v1_xboole_0 @t59))))) % 0.36/0.93 (assume @p43 (forall @t86 (=> @t85 (forall (@list @t120 @t119 @t118 @t117 @t116) (=> (= @t73 (tptp.g1_vectsp_2 @t120 @t119 @t118 @t117 @t116)) (and (= @t3 @t120) (= @t1 @t119) (= @t2 @t118) (= @t72 @t117) (= @t71 @t116))))))) % 0.36/0.93 (assume @p44 (forall @t47 (=> @t68 (exists @t28 (and @t17 @t25 @t23 @t22 @t21 @t20 @t19))))) % 0.36/0.93 (assume @p45 (forall @t47 (=> @t68 (exists @t28 (and @t17 @t25 @t23 @t22 @t21 @t20 @t19 @t18))))) % 0.36/0.93 (assume @p46 (forall @t56 (=> @t90 (exists @t15 (and @t104 @t103 @t102 @t101 @t100 @t99 (tptp.v3_vectsp_2 @t2 @t3) @t98))))) % 0.36/0.93 (assume @p47 (forall @t47 (=> @t115 (exists @t28 (and @t121 @t113))))) % 0.36/0.93 (assume @p48 (exists @t47 @t114)) % 0.36/0.93 (assume @p49 (forall @t47 (exists @t28 (and @t121 @t112)))) % 0.36/0.93 (assume @p50 (exists @t47 @t115)) % 0.36/0.93 (assume @p51 (exists @t47 (and @t54 @t44))) % 0.36/0.93 (assume @p52 (exists @t47 (and @t87 @t44))) % 0.36/0.93 (assume @p53 (forall @t47 (=> @t110 (exists @t28 (and (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t75)) @t113))))) % 0.36/0.93 (assume @p54 (forall @t47 (=> @t54 (exists @t28 (and @t17 @t19))))) % 0.36/0.93 (assume @p55 (forall @t47 (=> @t54 (exists @t28 (and @t17 @t25))))) % 0.36/0.93 (assume @p56 (forall @t61 (= @t105 @t109))) % 0.36/0.93 (assume @p57 (forall @t56 (tptp.r1_tarski @t3 @t3))) % 0.36/0.93 (assume @p58 @t136) % 0.36/0.93 (assume @p59 (forall @t56 (=> @t58 @t137))) % 0.36/0.93 (assume @p60 (forall @t56 (=> @t137 (or @t112 @t58)))) % 0.36/0.93 (assume @p61 (forall @t56 (= (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t3 @t1)))) % 0.36/0.93 (assume @p62 (forall @t61 (=> (and @t58 @t138) (tptp.m1_subset_1 @t3 @t2)))) % 0.36/0.93 (assume @p63 (forall @t61 (not (and @t58 @t138 (tptp.v1_xboole_0 @t2))))) % 0.36/0.93 (assume @p64 (forall @t47 (=> @t114 (= @t3 tptp.k1_xboole_0)))) % 0.36/0.93 (assume @p65 (forall @t56 (not (and @t58 @t112)))) % 0.36/0.93 (assume @p66 (forall @t56 (not (and @t114 (not (= @t3 @t1)) @t112)))) % 0.36/0.93 (step @p67 :rule evaluate :args ((= false true))) % 0.36/0.93 (step @p68 :rule aci_norm :args ((= (or (or @t43 @t153 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t145 @t24 @t144 @t143 @t142 @t141 @t140 @t139) @t89) (or @t43 @t153 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t145 @t24 @t144 @t143 @t142 @t141 @t140 @t139 @t89)))) % 0.36/0.93 (step @p69 :rule refl :args (@t89)) % 0.36/0.93 (step @p70 :rule refl :args (@t139)) % 0.36/0.93 (step @p71 :rule refl :args (@t140)) % 0.36/0.93 (step @p72 :rule refl :args (@t141)) % 0.36/0.93 (step @p73 :rule refl :args (@t142)) % 0.36/0.93 (step @p74 :rule refl :args (@t143)) % 0.36/0.93 (step @p75 :rule refl :args (@t144)) % 0.36/0.93 (step @p76 :rule bool-double-not-elim :args (@t24)) % 0.36/0.93 (step @p77 :rule refl :args (@t145)) % 0.36/0.93 (step @p78 :rule refl :args (@t146)) % 0.36/0.93 (step @p79 :rule refl :args (@t147)) % 0.36/0.93 (step @p80 :rule refl :args (@t148)) % 0.36/0.93 (step @p81 :rule refl :args (@t149)) % 0.36/0.93 (step @p82 :rule refl :args (@t150)) % 0.36/0.93 (step @p83 :rule refl :args (@t151)) % 0.36/0.93 (step @p84 :rule refl :args (@t152)) % 0.36/0.93 (step @p85 :rule refl :args (@t153)) % 0.36/0.93 (step @p86 :rule bool-double-not-elim :args (@t43)) % 0.36/0.93 (step @p87 :rule nary_cong :premises (@p86 @p85 @p84 @p83 @p82 @p81 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p71 @p70) :args (@t156)) % 0.36/0.93 (step @p88 :rule aci_norm :args ((= (or @t155 (or @t153 (or @t152 (or @t151 (or @t150 (or @t149 (or @t148 (or @t147 (or @t146 (or @t145 @t158)))))))))) @t156))) % 0.36/0.93 (step @p89 :rule trans :premises (@p88 @p87)) % 0.36/0.93 (step @p90 :rule bool-and-de-morgan :args (@t18 @t17 true)) % 0.36/0.93 (step @p91 :rule nary_cong :premises (@p72 @p90) :args ((or @t141 @t159))) % 0.36/0.93 (step @p92 :rule bool-and-de-morgan :args (@t20 @t18 (and @t17))) % 0.36/0.93 (step @p93 :rule trans :premises (@p92 @p91)) % 0.36/0.93 (step @p94 :rule nary_cong :premises (@p73 @p93) :args ((or @t142 (not (and @t20 @t18 @t17))))) % 0.36/0.93 (step @p95 :rule bool-and-de-morgan :args (@t21 @t20 (and @t18 @t17))) % 0.36/0.93 (step @p96 :rule trans :premises (@p95 @p94)) % 0.36/0.93 (step @p97 :rule nary_cong :premises (@p74 @p96) :args ((or @t143 (not (and @t21 @t20 @t18 @t17))))) % 0.36/0.93 (step @p98 :rule bool-and-de-morgan :args (@t22 @t21 (and @t20 @t18 @t17))) % 0.36/0.93 (step @p99 :rule trans :premises (@p98 @p97)) % 0.36/0.93 (step @p100 :rule nary_cong :premises (@p75 @p99) :args ((or @t144 (not (and @t22 @t21 @t20 @t18 @t17))))) % 0.36/0.93 (step @p101 :rule bool-and-de-morgan :args (@t23 @t22 (and @t21 @t20 @t18 @t17))) % 0.36/0.93 (step @p102 :rule trans :premises (@p101 @p100)) % 0.36/0.93 (step @p103 :rule refl :args (@t154)) % 0.36/0.93 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or @t154 (not (and @t23 @t22 @t21 @t20 @t18 @t17))))) % 0.36/0.93 (step @p105 :rule bool-and-de-morgan :args (@t25 @t23 (and @t22 @t21 @t20 @t18 @t17))) % 0.36/0.93 (step @p106 :rule trans :premises (@p105 @p104)) % 0.36/0.93 (step @p107 :rule nary_cong :premises (@p77 @p106) :args ((or @t145 @t160))) % 0.36/0.93 (step @p108 :rule bool-and-de-morgan :args (@t30 @t25 (and @t23 @t22 @t21 @t20 @t18 @t17))) % 0.36/0.93 (step @p109 :rule trans :premises (@p108 @p107)) % 0.36/0.93 (step @p110 :rule nary_cong :premises (@p78 @p109) :args ((or @t146 (not (and @t30 @t25 @t23 @t22 @t21 @t20 @t18 @t17))))) % 0.36/0.93 (step @p111 :rule bool-and-de-morgan :args (@t34 @t30 (and @t25 @t23 @t22 @t21 @t20 @t18 @t17))) % 0.36/0.93 (step @p112 :rule trans :premises (@p111 @p110)) % 0.36/0.93 (step @p113 :rule nary_cong :premises (@p79 @p112) :args ((or @t147 (not (and @t34 @t30 @t25 @t23 @t22 @t21 @t20 @t18 @t17))))) % 0.36/0.93 (step @p114 :rule bool-and-de-morgan :args (@t35 @t34 (and @t30 @t25 @t23 @t22 @t21 @t20 @t18 @t17))) % 0.36/0.93 (step @p115 :rule trans :premises (@p114 @p113)) % 0.36/0.93 (step @p116 :rule nary_cong :premises (@p80 @p115) :args ((or @t148 (not (and @t35 @t34 @t30 @t25 @t23 @t22 @t21 @t20 @t18 @t17))))) % 0.36/0.93 (step @p117 :rule bool-and-de-morgan :args (@t36 @t35 (and @t34 @t30 @t25 @t23 @t22 @t21 @t20 @t18 @t17))) % 0.36/0.93 (step @p118 :rule trans :premises (@p117 @p116)) % 0.36/0.93 (step @p119 :rule nary_cong :premises (@p81 @p118) :args ((or @t149 (not (and @t36 @t35 @t34 @t30 @t25 @t23 @t22 @t21 @t20 @t18 @t17))))) % 0.36/0.93 (step @p120 :rule bool-and-de-morgan :args (@t38 @t36 (and @t35 @t34 @t30 @t25 @t23 @t22 @t21 @t20 @t18 @t17))) % 0.36/0.93 (step @p121 :rule trans :premises (@p120 @p119)) % 0.36/0.93 (step @p122 :rule nary_cong :premises (@p82 @p121) :args ((or @t150 (not (and @t38 @t36 @t35 @t34 @t30 @t25 @t23 @t22 @t21 @t20 @t18 @t17))))) % 0.36/0.93 (step @p123 :rule bool-and-de-morgan :args (@t39 @t38 (and @t36 @t35 @t34 @t30 @t25 @t23 @t22 @t21 @t20 @t18 @t17))) % 0.36/0.93 (step @p124 :rule trans :premises (@p123 @p122)) % 0.36/0.93 (step @p125 :rule nary_cong :premises (@p83 @p124) :args ((or @t151 (not (and @t39 @t38 @t36 @t35 @t34 @t30 @t25 @t23 @t22 @t21 @t20 @t18 @t17))))) % 0.36/0.93 (step @p126 :rule bool-and-de-morgan :args (@t40 @t39 (and @t38 @t36 @t35 @t34 @t30 @t25 @t23 @t22 @t21 @t20 @t18 @t17))) % 0.36/0.93 (step @p127 :rule trans :premises (@p126 @p125)) % 0.36/0.93 (step @p128 :rule nary_cong :premises (@p84 @p127) :args ((or @t152 (not (and @t40 @t39 @t38 @t36 @t35 @t34 @t30 @t25 @t23 @t22 @t21 @t20 @t18 @t17))))) % 0.36/0.93 (step @p129 :rule bool-and-de-morgan :args (@t41 @t40 (and @t39 @t38 @t36 @t35 @t34 @t30 @t25 @t23 @t22 @t21 @t20 @t18 @t17))) % 0.36/0.93 (step @p130 :rule trans :premises (@p129 @p128)) % 0.36/0.93 (step @p131 :rule nary_cong :premises (@p85 @p130) :args ((or @t153 (not (and @t41 @t40 @t39 @t38 @t36 @t35 @t34 @t30 @t25 @t23 @t22 @t21 @t20 @t18 @t17))))) % 0.36/0.93 (step @p132 :rule bool-and-de-morgan :args (@t42 @t41 (and @t40 @t39 @t38 @t36 @t35 @t34 @t30 @t25 @t23 @t22 @t21 @t20 @t18 @t17))) % 0.36/0.93 (step @p133 :rule trans :premises (@p132 @p131)) % 0.36/0.93 (step @p134 :rule refl :args (@t155)) % 0.36/0.93 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t155 (not (and @t42 @t41 @t40 @t39 @t38 @t36 @t35 @t34 @t30 @t25 @t23 @t22 @t21 @t20 @t18 @t17))))) % 0.36/0.93 (step @p136 :rule bool-and-de-morgan :args (@t44 @t42 (and @t41 @t40 @t39 @t38 @t36 @t35 @t34 @t30 @t25 @t23 @t22 @t21 @t20 @t18 @t17))) % 0.36/0.93 (step @p137 :rule trans :premises (@p136 @p135)) % 0.36/0.93 (step @p138 :rule trans :premises (@p137 @p89)) % 0.36/0.93 (step @p139 :rule nary_cong :premises (@p138 @p69) :args ((or (not @t90) @t89))) % 0.36/0.93 (step @p140 :rule trans :premises (@p139 @p68)) % 0.36/0.93 (step @p141 :rule bool-impl-elim :args (@t90 @t89)) % 0.36/0.93 (step @p142 :rule trans :premises (@p141 @p140)) % 0.36/0.93 (step @p143 :rule cong :premises (@p142) :args (@t91)) % 0.36/0.93 (step @p144 :rule eq_resolve :premises (@p13 @p143)) % 0.36/0.93 (step @p145 :rule instantiate :premises (@p144) :args (@t180)) % 0.36/0.93 (step @p146 :rule aci_norm :args ((= @t182 @t175))) % 0.36/0.93 (step @p147 :rule cong :premises (@p146) :args (@t183)) % 0.36/0.93 (step @p148 :rule quant-merge-prenex :args ((= (forall @t47 @t185) @t183))) % 0.36/0.93 (step @p149 :rule alpha_equiv :args (@t186 (@list @t161) @t187)) % 0.36/0.93 (step @p150 :rule refl :args (@t7)) % 0.36/0.93 (step @p151 :rule refl :args (@t173)) % 0.36/0.93 (step @p152 :rule refl :args (@t32)) % 0.36/0.93 (step @p153 :rule refl :args (@t174)) % 0.36/0.93 (step @p154 :rule refl :args (@t43)) % 0.36/0.93 (step @p155 :rule nary_cong :premises (@p154 @p85 @p84 @p83 @p82 @p81 @p153 @p80 @p79 @p78 @p152 @p151 @p77 @p150 @p149) :args (@t188)) % 0.36/0.93 (step @p156 :rule quant-miniscope-or :args ((= @t185 @t188))) % 0.36/0.93 (step @p157 :rule trans :premises (@p156 @p155)) % 0.36/0.93 (step @p158 :rule symm :premises (@p157)) % 0.36/0.93 (step @p159 :rule cong :premises (@p158) :args ((forall @t47 @t194))) % 0.36/0.93 (step @p160 :rule trans :premises (@p159 @p148)) % 0.36/0.93 (step @p161 :rule trans :premises (@p160 @p147)) % 0.36/0.93 (step @p162 :rule aci_norm :args ((= (or @t196 @t195) @t194))) % 0.36/0.93 (step @p163 :rule refl :args (@t195)) % 0.36/0.93 (step @p164 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(@t382)) % 0.36/0.93 (step @p588 :rule trans :premises (@p587 @p585)) % 0.36/0.93 (step @p589 :rule quant-merge-prenex :args ((= (forall @t15 @t383) @t382))) % 0.36/0.93 (step @p590 :rule alpha_equiv :args (@t384 @t353 (@list @t72))) % 0.36/0.93 (step @p591 :rule nary_cong :premises (@p272 @p590) :args (@t385)) % 0.36/0.93 (step @p592 :rule quant-miniscope-or :args ((= @t383 @t385))) % 0.36/0.93 (step @p593 :rule trans :premises (@p592 @p591)) % 0.36/0.93 (step @p594 :rule symm :premises (@p593)) % 0.36/0.93 (step @p595 :rule cong :premises (@p594) :args (@t392)) % 0.36/0.93 (step @p596 :rule trans :premises (@p595 @p589)) % 0.36/0.93 (step @p597 :rule trans :premises (@p596 @p588)) % 0.36/0.93 (step @p598 :rule nary_cong :premises (@p260 @p597) :args (@t393)) % 0.36/0.93 (step @p599 :rule quant-miniscope-or :args ((= (forall @t15 @t394) @t393))) % 0.36/0.93 (step @p600 :rule aci_norm :args ((= @t395 @t394))) % 0.36/0.93 (step @p601 :rule cong :premises (@p600) :args ((forall @t15 @t395))) % 0.36/0.93 (step @p602 :rule trans :premises (@p601 @p599)) % 0.36/0.93 (step @p603 :rule trans :premises (@p602 @p598)) % 0.36/0.93 (step @p604 :rule aci_norm :args ((= (or @t209 @t396) @t395))) % 0.36/0.93 (step @p605 :rule bool-impl-elim :args (@t13 @t396)) % 0.36/0.93 (step @p606 :rule trans :premises (@p605 @p604)) % 0.36/0.93 (step @p607 :rule cong :premises (@p606) :args ((forall @t15 (=> @t13 @t396)))) % 0.36/0.93 (step @p608 :rule trans :premises (@p607 @p603)) % 0.36/0.93 (step @p609 :rule quant-miniscope-or :args ((= (forall @t129 @t397) @t396))) % 0.36/0.93 (step @p610 :rule aci_norm :args ((= @t398 @t397))) % 0.36/0.93 (step @p611 :rule cong :premises (@p610) :args ((forall @t129 @t398))) % 0.36/0.93 (step @p612 :rule trans :premises (@p611 @p609)) % 0.36/0.93 (step @p613 :rule aci_norm :args ((= (or (or @t388 @t387) @t399) @t398))) % 0.36/0.93 (step @p614 :rule aci_norm :args ((= (or @t386 @t123) @t399))) % 0.36/0.93 (step @p615 :rule bool-impl-elim :args (@t124 @t123)) % 0.36/0.93 (step @p616 :rule trans :premises (@p615 @p614)) % 0.36/0.93 (step @p617 :rule bool-and-de-morgan :args (@t127 @t126 true)) % 0.36/0.93 (step @p618 :rule nary_cong :premises (@p617 @p616) :args ((or (not @t128) @t125))) % 0.36/0.93 (step @p619 :rule trans :premises (@p618 @p613)) % 0.36/0.93 (step @p620 :rule bool-impl-elim :args (@t128 @t125)) % 0.36/0.93 (step @p621 :rule trans :premises (@p620 @p619)) % 0.36/0.93 (step @p622 :rule cong :premises (@p621) :args (@t130)) % 0.36/0.93 (step @p623 :rule trans :premises (@p622 @p612)) % 0.36/0.93 (step @p624 :rule cong :premises (@p283 @p623) :args (@t131)) % 0.36/0.93 (step @p625 :rule cong :premises (@p624) :args (@t132)) % 0.36/0.93 (step @p626 :rule trans :premises (@p625 @p608)) % 0.36/0.93 (step @p627 :rule cong :premises (@p462 @p626) :args (@t133)) % 0.36/0.93 (step @p628 :rule cong :premises (@p627) :args (@t134)) % 0.36/0.93 (step @p629 :rule trans :premises (@p628 @p564)) % 0.36/0.93 (step @p630 :rule cong :premises (@p291 @p629) :args (@t135)) % 0.36/0.93 (step @p631 :rule cong :premises (@p630) :args (@t136)) % 0.36/0.93 (step @p632 :rule trans :premises (@p631 @p538)) % 0.36/0.93 (step @p633 :rule eq_resolve :premises (@p58 @p632)) % 0.36/0.93 (step @p634 :rule instantiate :premises (@p633) :args ((@list @t179 @t178 @t178))) % 0.36/0.93 (step @p635 :rule cnf_or_neg :args (@t263 23)) % 0.36/0.93 (step @p636 :rule chain_m_resolution :premises (@p635 @p297) :args ((not @t221) @t264 @t265)) % 0.36/0.93 (step @p637 :rule bool-double-not-elim :args (@t222)) % 0.36/0.93 (step @p638 :rule nary_cong :premises (@p299 @p637) :args ((or @t263 (not @t223)))) % 0.36/0.93 (step @p639 :rule cnf_or_neg :args (@t263 22)) % 0.36/0.93 (step @p640 :rule eq_resolve :premises (@p639 @p638)) % 0.36/0.93 (step @p641 :rule reordering :premises (@p640) :args ((or @t222 @t263))) % 0.36/0.93 (step @p642 :rule chain_m_resolution :premises (@p641 @p297) :args (@t222 @t264 @t265)) % 0.36/0.93 (step @p643 :rule cnf_or_neg :args (@t263 13)) % 0.36/0.93 (step @p644 :rule chain_m_resolution :premises (@p643 @p297) :args ((not @t238) @t264 @t265)) % 0.36/0.93 (step @p645 :rule bool-double-not-elim :args (@t241)) % 0.36/0.93 (step @p646 :rule nary_cong :premises (@p299 @p645) :args ((or @t263 (not @t242)))) % 0.36/0.93 (step @p647 :rule cnf_or_neg :args (@t263 11)) % 0.36/0.93 (step @p648 :rule eq_resolve :premises (@p647 @p646)) % 0.36/0.93 (step @p649 :rule reordering :premises (@p648) :args ((or @t241 @t263))) % 0.36/0.93 (step @p650 :rule chain_m_resolution :premises (@p649 @p297) :args (@t241 @t264 @t265)) % 0.36/0.94 (step @p651 :rule cnf_or_neg :args (@t263 10)) % 0.36/0.94 (step @p652 :rule chain_m_resolution :premises (@p651 @p297) :args ((not @t243) @t264 @t265)) % 0.36/0.94 (step @p653 :rule bool-double-not-elim :args (@t250)) % 0.36/0.94 (step @p654 :rule nary_cong :premises (@p299 @p653) :args ((or @t263 (not @t251)))) % 0.36/0.94 (step @p655 :rule cnf_or_neg :args (@t263 6)) % 0.36/0.94 (step @p656 :rule eq_resolve :premises (@p655 @p654)) % 0.36/0.94 (step @p657 :rule reordering :premises (@p656) :args ((or @t250 @t263))) % 0.36/0.94 (step @p658 :rule chain_m_resolution :premises (@p657 @p297) :args (@t250 @t264 @t265)) % 0.36/0.94 (step @p659 :rule cnf_or_pos :args (@t401)) % 0.36/0.94 (step @p660 :rule reordering :premises (@p659) :args ((or @t262 @t261 @t259 @t257 @t255 @t253 @t251 @t249 @t247 @t245 @t243 @t242 @t240 @t238 @t237 @t236 @t234 @t232 @t230 @t228 @t226 @t224 @t223 @t221 @t400 (not @t401)))) % 0.36/0.94 (step @p661 :rule chain_m_resolution :premises (@p660 @p392 @p390 @p384 @p378 @p372 @p366 @p658 @p360 @p354 @p348 @p652 @p650 @p342 @p644 @p336 @p334 @p328 @p322 @p316 @p514 @p310 @p304 @p642 @p636 @p634) :args (@t400 (@list true false false false false false false false false false true false false true true false false false false false false false false true false) (@list @t262 @t260 @t258 @t256 @t254 @t252 @t250 @t248 @t246 @t244 @t243 @t241 @t239 @t238 @t237 @t235 @t233 @t231 @t229 @t227 @t225 @t219 @t222 @t221 @t401))) % 0.36/0.94 (step @p662 :rule false_intro :premises (@p661)) % 0.36/0.94 (step @p663 :rule symm :premises (@p662)) % 0.36/0.94 (step @p664 :rule trans :premises (@p663 @p519 @p399)) % 0.36/0.94 (step @p665 false :rule eq_resolve :premises (@p664 @p67)) % 0.36/0.94 ) % 0.36/0.94 % SZS output end Proof % 0.36/0.94 % cvc5 exiting %------------------------------------------------------------------------------