%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG220+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 : n015.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:05:33 AM UTC 2026 % Result : Theorem 0.39s 0.93s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : ALG220+1 : TPTP v9.2.1. Released v3.4.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n015.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 300 % 0.15/0.35 % DateTime : Wed Jun 3 01:41:49 EDT 2026 % 0.15/0.35 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.93 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.93 % SZS status Theorem % 0.39/0.93 % SZS output start Proof % 0.39/0.93 ( % 0.39/0.93 (declare-sort $$unsorted 0) % 0.39/0.93 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.39/0.93 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.l1_group_1 (-> $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.m1_rmod_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.l1_vectsp_1 (-> $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.l1_rlvect_1 (-> $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.v3_rlvect_1 (-> $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.v2_group_1 (-> $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.v3_vectsp_2 (-> $$unsorted $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.l2_struct_0 (-> $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.v4_rlvect_1 (-> $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.v5_vectsp_2 (-> $$unsorted $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.u1_rlvect_1 (-> $$unsorted $$unsorted)) % 0.39/0.93 (declare-const tptp.v5_rlvect_1 (-> $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.l2_vectsp_1 (-> $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.l1_vectsp_2 (-> $$unsorted $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.u2_struct_0 (-> $$unsorted $$unsorted)) % 0.39/0.93 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.g1_vectsp_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.93 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.39/0.93 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.39/0.93 (declare-const tptp.u1_vectsp_2 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.93 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.k1_rmod_5 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.93 (declare-const tptp.l3_vectsp_1 (-> $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.v2_vectsp_2 (-> $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.v10_vectsp_1 (-> $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.v8_vectsp_1 (-> $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.v6_rlvect_1 (-> $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.93 (declare-const tptp.v7_vectsp_1 (-> $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.v6_vectsp_1 (-> $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.v7_group_1 (-> $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.39/0.93 (declare-const tptp.v4_group_1 (-> $$unsorted Bool)) % 0.39/0.93 (define @t1 () (@var "B" $$unsorted)) % 0.39/0.93 (define @t2 () (@var "D" $$unsorted)) % 0.39/0.93 (define @t3 () (@var "A" $$unsorted)) % 0.39/0.93 (define @t4 () (tptp.k1_rmod_5 @t3 @t1 @t2)) % 0.39/0.93 (define @t5 () (@var "C" $$unsorted)) % 0.39/0.93 (define @t6 () (tptp.r1_tarski @t5 @t2)) % 0.39/0.93 (define @t7 () (tptp.k1_rmod_5 @t3 @t1 @t5)) % 0.39/0.93 (define @t8 () (and (= @t7 @t1) @t6)) % 0.39/0.93 (define @t9 () (=> @t8 (= @t4 @t1))) % 0.39/0.93 (define @t10 () (tptp.u1_struct_0 @t1)) % 0.39/0.93 (define @t11 () (tptp.k1_zfmisc_1 @t10)) % 0.39/0.93 (define @t12 () (tptp.m1_subset_1 @t2 @t11)) % 0.39/0.93 (define @t13 () (=> @t12 @t9)) % 0.39/0.93 (define @t14 () (@list @t2)) % 0.39/0.93 (define @t15 () (forall @t14 @t13)) % 0.39/0.93 (define @t16 () (tptp.m1_subset_1 @t5 @t11)) % 0.39/0.93 (define @t17 () (=> @t16 @t15)) % 0.39/0.93 (define @t18 () (@list @t5)) % 0.39/0.93 (define @t19 () (forall @t18 @t17)) % 0.39/0.93 (define @t20 () (tptp.l1_vectsp_2 @t1 @t3)) % 0.39/0.93 (define @t21 () (tptp.v5_vectsp_2 @t1 @t3)) % 0.39/0.93 (define @t22 () (tptp.v3_vectsp_2 @t1 @t3)) % 0.39/0.93 (define @t23 () (tptp.v6_rlvect_1 @t1)) % 0.39/0.93 (define @t24 () (tptp.v5_rlvect_1 @t1)) % 0.39/0.93 (define @t25 () (tptp.v4_rlvect_1 @t1)) % 0.39/0.93 (define @t26 () (tptp.v3_rlvect_1 @t1)) % 0.39/0.93 (define @t27 () (tptp.v3_struct_0 @t1)) % 0.39/0.93 (define @t28 () (not @t27)) % 0.39/0.93 (define @t29 () (and @t28 @t26 @t25 @t24 @t23 @t22 @t21 @t20)) % 0.39/0.93 (define @t30 () (=> @t29 @t19)) % 0.39/0.93 (define @t31 () (@list @t1)) % 0.39/0.93 (define @t32 () (forall @t31 @t30)) % 0.39/0.93 (define @t33 () (tptp.l3_vectsp_1 @t3)) % 0.39/0.93 (define @t34 () (tptp.v2_vectsp_2 @t3)) % 0.39/0.93 (define @t35 () (tptp.v10_vectsp_1 @t3)) % 0.39/0.93 (define @t36 () (not @t35)) % 0.39/0.93 (define @t37 () (tptp.v8_vectsp_1 @t3)) % 0.39/0.93 (define @t38 () (tptp.v7_vectsp_1 @t3)) % 0.39/0.93 (define @t39 () (tptp.v6_vectsp_1 @t3)) % 0.39/0.93 (define @t40 () (tptp.v7_group_1 @t3)) % 0.39/0.93 (define @t41 () (tptp.v4_group_1 @t3)) % 0.39/0.93 (define @t42 () (tptp.v6_rlvect_1 @t3)) % 0.39/0.93 (define @t43 () (tptp.v5_rlvect_1 @t3)) % 0.39/0.93 (define @t44 () (tptp.v4_rlvect_1 @t3)) % 0.39/0.93 (define @t45 () (tptp.v3_rlvect_1 @t3)) % 0.39/0.93 (define @t46 () (tptp.v3_struct_0 @t3)) % 0.39/0.93 (define @t47 () (not @t46)) % 0.39/0.93 (define @t48 () (and @t47 @t45 @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t34 @t33)) % 0.39/0.93 (define @t49 () (=> @t48 @t32)) % 0.39/0.93 (define @t50 () (@list @t3)) % 0.39/0.93 (define @t51 () (forall @t50 @t49)) % 0.39/0.93 (define @t52 () (not @t51)) % 0.39/0.93 (define @t53 () (tptp.u1_vectsp_2 @t3 @t1)) % 0.39/0.93 (define @t54 () (tptp.l1_struct_0 @t3)) % 0.39/0.93 (define @t55 () (and @t54 @t20)) % 0.39/0.93 (define @t56 () (@list @t3 @t1)) % 0.39/0.93 (define @t57 () (tptp.r2_hidden @t3 @t1)) % 0.39/0.93 (define @t58 () (tptp.k2_zfmisc_1 @t3 @t1)) % 0.39/0.93 (define @t59 () (tptp.m1_subset_1 @t5 (tptp.k1_zfmisc_1 @t58))) % 0.39/0.93 (define @t60 () (@list @t3 @t1 @t5)) % 0.39/0.93 (define @t61 () (and @t47 (tptp.v2_group_1 @t3) @t39 @t37)) % 0.39/0.93 (define @t62 () (tptp.l1_vectsp_1 @t3)) % 0.39/0.93 (define @t63 () (@var "E" $$unsorted)) % 0.39/0.93 (define @t64 () (tptp.g1_vectsp_2 @t3 @t1 @t5 @t2 @t63)) % 0.39/0.93 (define @t65 () (tptp.v3_vectsp_2 @t64 @t3)) % 0.39/0.93 (define @t66 () (tptp.u1_struct_0 @t3)) % 0.39/0.93 (define @t67 () (tptp.k2_zfmisc_1 @t1 @t66)) % 0.39/0.93 (define @t68 () (tptp.m1_relset_1 @t63 @t67 @t1)) % 0.39/0.93 (define @t69 () (tptp.v1_funct_2 @t63 @t67 @t1)) % 0.39/0.93 (define @t70 () (tptp.v1_funct_1 @t63)) % 0.39/0.93 (define @t71 () (tptp.m1_subset_1 @t2 @t1)) % 0.39/0.93 (define @t72 () (tptp.k2_zfmisc_1 @t1 @t1)) % 0.39/0.93 (define @t73 () (tptp.m1_relset_1 @t5 @t72 @t1)) % 0.39/0.93 (define @t74 () (tptp.v1_funct_2 @t5 @t72 @t1)) % 0.39/0.93 (define @t75 () (tptp.v1_funct_1 @t5)) % 0.39/0.93 (define @t76 () (and @t54 @t75 @t74 @t73 @t71 @t70 @t69 @t68)) % 0.39/0.93 (define @t77 () (@list @t3 @t1 @t5 @t2 @t63)) % 0.39/0.93 (define @t78 () (and (tptp.v3_vectsp_2 @t7 @t3) (tptp.m1_rmod_2 @t7 @t3 @t1))) % 0.39/0.93 (define @t79 () (and @t47 @t45 @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t34 @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20 @t16)) % 0.39/0.93 (define @t80 () (forall @t60 (=> @t79 @t78))) % 0.39/0.93 (define @t81 () (tptp.l1_group_1 @t3)) % 0.39/0.93 (define @t82 () (tptp.l2_struct_0 @t3)) % 0.39/0.93 (define @t83 () (tptp.l1_rlvect_1 @t3)) % 0.39/0.93 (define @t84 () (tptp.l2_vectsp_1 @t3)) % 0.39/0.93 (define @t85 () (tptp.l1_vectsp_2 @t5 @t3)) % 0.39/0.93 (define @t86 () (tptp.v5_vectsp_2 @t5 @t3)) % 0.39/0.93 (define @t87 () (tptp.v6_rlvect_1 @t5)) % 0.39/0.93 (define @t88 () (tptp.v5_rlvect_1 @t5)) % 0.39/0.93 (define @t89 () (tptp.v4_rlvect_1 @t5)) % 0.39/0.93 (define @t90 () (tptp.v3_rlvect_1 @t5)) % 0.39/0.93 (define @t91 () (tptp.v3_struct_0 @t5)) % 0.39/0.93 (define @t92 () (not @t91)) % 0.39/0.93 (define @t93 () (and @t92 @t90 @t89 @t88 @t87 @t86 @t85)) % 0.39/0.93 (define @t94 () (tptp.m1_rmod_2 @t5 @t3 @t1)) % 0.39/0.93 (define @t95 () (forall @t18 (=> @t94 @t93))) % 0.39/0.93 (define @t96 () (and @t47 @t45 @t44 @t43 @t42 @t41 @t39 @t38 @t37 @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20)) % 0.39/0.93 (define @t97 () (=> @t96 @t95)) % 0.39/0.93 (define @t98 () (forall @t56 @t97)) % 0.39/0.93 (define @t99 () (tptp.m2_relset_1 @t5 @t3 @t1)) % 0.39/0.93 (define @t100 () (tptp.k2_zfmisc_1 @t66 @t66)) % 0.39/0.93 (define @t101 () (tptp.u1_rlvect_1 @t3)) % 0.39/0.93 (define @t102 () (tptp.k2_zfmisc_1 @t10 @t66)) % 0.39/0.93 (define @t103 () (tptp.m1_relset_1 @t5 @t3 @t1)) % 0.39/0.93 (define @t104 () (and @t47 @t54)) % 0.39/0.93 (define @t105 () (tptp.k1_zfmisc_1 @t3)) % 0.39/0.93 (define @t106 () (tptp.v1_xboole_0 @t1)) % 0.39/0.93 (define @t107 () (not @t106)) % 0.39/0.93 (define @t108 () (tptp.v1_xboole_0 @t3)) % 0.39/0.93 (define @t109 () (not @t108)) % 0.39/0.93 (define @t110 () (@var "J" $$unsorted)) % 0.39/0.93 (define @t111 () (@var "I" $$unsorted)) % 0.39/0.93 (define @t112 () (@var "H" $$unsorted)) % 0.39/0.93 (define @t113 () (@var "G" $$unsorted)) % 0.39/0.93 (define @t114 () (@var "F" $$unsorted)) % 0.39/0.93 (define @t115 () (and @t47 @t45 @t44 @t43 @t42 @t41 @t39 @t38 @t37 @t33)) % 0.39/0.93 (define @t116 () (tptp.v3_vectsp_2 @t5 @t3)) % 0.39/0.93 (define @t117 () (tptp.m1_subset_1 @t1 @t105)) % 0.39/0.93 (define @t118 () (tptp.m1_rmod_2 @t7 @t3 @t4)) % 0.39/0.93 (define @t119 () (=> @t6 @t118)) % 0.39/0.93 (define @t120 () (forall @t14 (=> @t12 @t119))) % 0.39/0.93 (define @t121 () (=> @t16 @t120)) % 0.39/0.93 (define @t122 () (forall @t18 @t121)) % 0.39/0.93 (define @t123 () (and @t28 @t26 @t25 @t24 @t23 @t21 @t20)) % 0.39/0.93 (define @t124 () (=> @t123 @t122)) % 0.39/0.93 (define @t125 () (forall @t31 @t124)) % 0.39/0.93 (define @t126 () (=> @t48 @t125)) % 0.39/0.93 (define @t127 () (forall @t50 @t126)) % 0.39/0.93 (define @t128 () (tptp.m1_subset_1 @t3 @t1)) % 0.39/0.93 (define @t129 () (tptp.m1_rmod_2 @t1 @t3 @t5)) % 0.39/0.93 (define @t130 () (and @t94 @t129)) % 0.39/0.93 (define @t131 () (=> @t130 (= @t5 @t1))) % 0.39/0.93 (define @t132 () (and @t92 @t90 @t89 @t88 @t87 @t116 @t86 @t85)) % 0.39/0.93 (define @t133 () (=> @t132 @t131)) % 0.39/0.93 (define @t134 () (forall @t18 @t133)) % 0.39/0.93 (define @t135 () (=> @t29 @t134)) % 0.39/0.93 (define @t136 () (forall @t31 @t135)) % 0.39/0.93 (define @t137 () (=> @t115 @t136)) % 0.39/0.93 (define @t138 () (forall @t50 @t137)) % 0.39/0.93 (define @t139 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t5))) % 0.39/0.93 (define @t140 () (@var "BOUND_VARIABLE_8320" $$unsorted)) % 0.39/0.93 (define @t141 () (@var "BOUND_VARIABLE_8316" $$unsorted)) % 0.39/0.93 (define @t142 () (@var "BOUND_VARIABLE_8318" $$unsorted)) % 0.39/0.93 (define @t143 () (tptp.m1_rmod_2 (tptp.k1_rmod_5 @t3 @t141 @t142) @t3 (tptp.k1_rmod_5 @t3 @t141 @t140))) % 0.39/0.93 (define @t144 () (not (tptp.r1_tarski @t142 @t140))) % 0.39/0.93 (define @t145 () (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t141))) % 0.39/0.93 (define @t146 () (not (tptp.m1_subset_1 @t140 @t145))) % 0.39/0.93 (define @t147 () (not (tptp.m1_subset_1 @t142 @t145))) % 0.39/0.93 (define @t148 () (not (tptp.l1_vectsp_2 @t141 @t3))) % 0.39/0.93 (define @t149 () (not (tptp.v5_vectsp_2 @t141 @t3))) % 0.39/0.93 (define @t150 () (not (tptp.v6_rlvect_1 @t141))) % 0.39/0.93 (define @t151 () (not (tptp.v5_rlvect_1 @t141))) % 0.39/0.93 (define @t152 () (not (tptp.v4_rlvect_1 @t141))) % 0.39/0.93 (define @t153 () (not (tptp.v3_rlvect_1 @t141))) % 0.39/0.93 (define @t154 () (tptp.v3_struct_0 @t141)) % 0.39/0.93 (define @t155 () (not @t33)) % 0.39/0.93 (define @t156 () (not @t34)) % 0.39/0.93 (define @t157 () (not @t37)) % 0.39/0.93 (define @t158 () (not @t38)) % 0.39/0.93 (define @t159 () (not @t39)) % 0.39/0.93 (define @t160 () (not @t40)) % 0.39/0.93 (define @t161 () (not @t41)) % 0.39/0.93 (define @t162 () (not @t42)) % 0.39/0.93 (define @t163 () (not @t43)) % 0.39/0.93 (define @t164 () (not @t44)) % 0.39/0.93 (define @t165 () (not @t45)) % 0.39/0.93 (define @t166 () (or @t154 @t153 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t143)) % 0.39/0.93 (define @t167 () (or @t46 @t165 @t164 @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t35 @t156 @t155 @t166)) % 0.39/0.93 (define @t168 () (forall (@list @t3 @t141 @t142 @t140) @t167)) % 0.39/0.93 (define @t169 () (@list @t141 @t142 @t140)) % 0.39/0.93 (define @t170 () (forall @t169 @t167)) % 0.39/0.93 (define @t171 () (forall @t169 @t166)) % 0.39/0.93 (define @t172 () (@var "BOUND_VARIABLE_8295" $$unsorted)) % 0.39/0.93 (define @t173 () (@var "BOUND_VARIABLE_8293" $$unsorted)) % 0.39/0.93 (define @t174 () (or @t46 @t165 @t164 @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t35 @t156 @t155 @t171)) % 0.39/0.93 (define @t175 () (tptp.m1_rmod_2 (tptp.k1_rmod_5 @t3 @t1 @t173) @t3 (tptp.k1_rmod_5 @t3 @t1 @t172))) % 0.39/0.93 (define @t176 () (not (tptp.r1_tarski @t173 @t172))) % 0.39/0.93 (define @t177 () (not (tptp.m1_subset_1 @t172 @t11))) % 0.39/0.93 (define @t178 () (not (tptp.m1_subset_1 @t173 @t11))) % 0.39/0.93 (define @t179 () (not @t20)) % 0.39/0.93 (define @t180 () (not @t21)) % 0.39/0.93 (define @t181 () (not @t23)) % 0.39/0.93 (define @t182 () (not @t24)) % 0.39/0.93 (define @t183 () (not @t25)) % 0.39/0.93 (define @t184 () (not @t26)) % 0.39/0.93 (define @t185 () (or @t27 @t184 @t183 @t182 @t181 @t180 @t179 @t178 @t177 @t176 @t175)) % 0.39/0.93 (define @t186 () (@list @t1 @t173 @t172)) % 0.39/0.93 (define @t187 () (forall @t186 @t185)) % 0.39/0.93 (define @t188 () (or @t46 @t165 @t164 @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t35 @t156 @t155 @t187)) % 0.39/0.93 (define @t189 () (or @t46 @t165 @t164 @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t35 @t156 @t155)) % 0.39/0.93 (define @t190 () (not @t36)) % 0.39/0.93 (define @t191 () (not @t47)) % 0.39/0.93 (define @t192 () (or @t191 @t165 @t164 @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t190 @t156 @t155)) % 0.39/0.93 (define @t193 () (not @t48)) % 0.39/0.93 (define @t194 () (or @t178 @t177 @t176 @t175)) % 0.39/0.93 (define @t195 () (or @t27 @t184 @t183 @t182 @t181 @t180 @t179 @t194)) % 0.39/0.93 (define @t196 () (forall @t186 @t195)) % 0.39/0.93 (define @t197 () (@list @t173 @t172)) % 0.39/0.93 (define @t198 () (forall @t197 @t195)) % 0.39/0.93 (define @t199 () (forall @t197 @t194)) % 0.39/0.93 (define @t200 () (@var "BOUND_VARIABLE_8273" $$unsorted)) % 0.39/0.93 (define @t201 () (or @t27 @t184 @t183 @t182 @t181 @t180 @t179 @t199)) % 0.39/0.93 (define @t202 () (tptp.m1_rmod_2 @t7 @t3 (tptp.k1_rmod_5 @t3 @t1 @t200))) % 0.39/0.93 (define @t203 () (not (tptp.r1_tarski @t5 @t200))) % 0.39/0.93 (define @t204 () (not (tptp.m1_subset_1 @t200 @t11))) % 0.39/0.93 (define @t205 () (not @t16)) % 0.39/0.93 (define @t206 () (or @t205 @t204 @t203 @t202)) % 0.39/0.93 (define @t207 () (@list @t5 @t200)) % 0.39/0.93 (define @t208 () (forall @t207 @t206)) % 0.39/0.93 (define @t209 () (or @t27 @t184 @t183 @t182 @t181 @t180 @t179 @t208)) % 0.39/0.93 (define @t210 () (not @t28)) % 0.39/0.93 (define @t211 () (or @t210 @t184 @t183 @t182 @t181 @t180 @t179)) % 0.39/0.93 (define @t212 () (or @t180 @t179)) % 0.39/0.93 (define @t213 () (or @t210 (or @t184 (or @t183 (or @t182 (or @t181 @t212)))))) % 0.39/0.93 (define @t214 () (not (and @t21 @t20))) % 0.39/0.93 (define @t215 () (not @t123)) % 0.39/0.93 (define @t216 () (or @t204 @t203 @t202)) % 0.39/0.93 (define @t217 () (or @t205 @t216)) % 0.39/0.93 (define @t218 () (forall @t207 @t217)) % 0.39/0.93 (define @t219 () (@list @t200)) % 0.39/0.93 (define @t220 () (forall @t219 @t217)) % 0.39/0.93 (define @t221 () (forall @t219 @t216)) % 0.39/0.93 (define @t222 () (@list @t2)) % 0.39/0.93 (define @t223 () (or @t205 @t221)) % 0.39/0.93 (define @t224 () (not @t6)) % 0.39/0.93 (define @t225 () (not @t12)) % 0.39/0.93 (define @t226 () (or @t225 @t224 @t118)) % 0.39/0.93 (define @t227 () (forall @t14 @t226)) % 0.39/0.93 (define @t228 () (@var "BOUND_VARIABLE_7884" $$unsorted)) % 0.39/0.93 (define @t229 () (@var "BOUND_VARIABLE_7880" $$unsorted)) % 0.39/0.93 (define @t230 () (= @t229 (tptp.k1_rmod_5 @t3 @t229 @t228))) % 0.39/0.93 (define @t231 () (@var "BOUND_VARIABLE_7882" $$unsorted)) % 0.39/0.93 (define @t232 () (not (tptp.r1_tarski @t231 @t228))) % 0.39/0.93 (define @t233 () (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t229))) % 0.39/0.93 (define @t234 () (not (tptp.m1_subset_1 @t228 @t233))) % 0.39/0.93 (define @t235 () (not (= @t229 (tptp.k1_rmod_5 @t3 @t229 @t231)))) % 0.39/0.93 (define @t236 () (not (tptp.m1_subset_1 @t231 @t233))) % 0.39/0.93 (define @t237 () (not (tptp.l1_vectsp_2 @t229 @t3))) % 0.39/0.93 (define @t238 () (not (tptp.v5_vectsp_2 @t229 @t3))) % 0.39/0.93 (define @t239 () (not (tptp.v3_vectsp_2 @t229 @t3))) % 0.39/0.93 (define @t240 () (not (tptp.v6_rlvect_1 @t229))) % 0.39/0.93 (define @t241 () (not (tptp.v5_rlvect_1 @t229))) % 0.39/0.93 (define @t242 () (not (tptp.v4_rlvect_1 @t229))) % 0.39/0.93 (define @t243 () (not (tptp.v3_rlvect_1 @t229))) % 0.39/0.93 (define @t244 () (tptp.v3_struct_0 @t229)) % 0.39/0.93 (define @t245 () (or @t46 @t165 @t164 @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t35 @t156 @t155 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t234 @t232 @t230)) % 0.39/0.93 (define @t246 () (@list @t3 @t229 @t231 @t228)) % 0.39/0.93 (define @t247 () (forall @t246 @t245)) % 0.39/0.93 (define @t248 () (@quantifiers_skolemize @t247 3)) % 0.39/0.93 (define @t249 () (@quantifiers_skolemize @t247 2)) % 0.39/0.93 (define @t250 () (@quantifiers_skolemize @t247 1)) % 0.39/0.93 (define @t251 () (@quantifiers_skolemize @t247 0)) % 0.39/0.93 (define @t252 () (or @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t234 @t232 @t230)) % 0.39/0.93 (define @t253 () (or @t46 @t165 @t164 @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t35 @t156 @t155 @t252)) % 0.39/0.93 (define @t254 () (forall @t246 @t253)) % 0.39/0.93 (define @t255 () (@list @t229 @t231 @t228)) % 0.39/0.93 (define @t256 () (forall @t255 @t253)) % 0.39/0.93 (define @t257 () (forall @t255 @t252)) % 0.39/0.93 (define @t258 () (@var "BOUND_VARIABLE_7844" $$unsorted)) % 0.39/0.93 (define @t259 () (@var "BOUND_VARIABLE_7842" $$unsorted)) % 0.39/0.93 (define @t260 () (or @t46 @t165 @t164 @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t35 @t156 @t155 @t257)) % 0.39/0.93 (define @t261 () (= @t1 (tptp.k1_rmod_5 @t3 @t1 @t258))) % 0.39/0.93 (define @t262 () (not (tptp.r1_tarski @t259 @t258))) % 0.39/0.93 (define @t263 () (not (tptp.m1_subset_1 @t258 @t11))) % 0.39/0.93 (define @t264 () (not (= @t1 (tptp.k1_rmod_5 @t3 @t1 @t259)))) % 0.39/0.93 (define @t265 () (not (tptp.m1_subset_1 @t259 @t11))) % 0.39/0.93 (define @t266 () (not @t22)) % 0.39/0.93 (define @t267 () (or @t27 @t184 @t183 @t182 @t181 @t266 @t180 @t179 @t265 @t264 @t263 @t262 @t261)) % 0.39/0.93 (define @t268 () (@list @t1 @t259 @t258)) % 0.39/0.93 (define @t269 () (forall @t268 @t267)) % 0.39/0.93 (define @t270 () (or @t46 @t165 @t164 @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t35 @t156 @t155 @t269)) % 0.39/0.93 (define @t271 () (or @t265 @t264 @t263 @t262 @t261)) % 0.39/0.93 (define @t272 () (or @t27 @t184 @t183 @t182 @t181 @t266 @t180 @t179 @t271)) % 0.39/0.93 (define @t273 () (forall @t268 @t272)) % 0.39/0.93 (define @t274 () (@list @t259 @t258)) % 0.39/0.93 (define @t275 () (forall @t274 @t272)) % 0.39/0.93 (define @t276 () (forall @t274 @t271)) % 0.39/0.93 (define @t277 () (@var "BOUND_VARIABLE_7815" $$unsorted)) % 0.39/0.93 (define @t278 () (or @t27 @t184 @t183 @t182 @t181 @t266 @t180 @t179 @t276)) % 0.39/0.93 (define @t279 () (= @t1 (tptp.k1_rmod_5 @t3 @t1 @t277))) % 0.39/0.93 (define @t280 () (not (tptp.r1_tarski @t5 @t277))) % 0.39/0.93 (define @t281 () (not (tptp.m1_subset_1 @t277 @t11))) % 0.39/0.93 (define @t282 () (= @t1 @t7)) % 0.39/0.93 (define @t283 () (not @t282)) % 0.39/0.93 (define @t284 () (or @t205 @t283 @t281 @t280 @t279)) % 0.39/0.93 (define @t285 () (@list @t5 @t277)) % 0.39/0.93 (define @t286 () (forall @t285 @t284)) % 0.39/0.93 (define @t287 () (or @t27 @t184 @t183 @t182 @t181 @t266 @t180 @t179 @t286)) % 0.39/0.93 (define @t288 () (or @t27 @t184 @t183 @t182 @t181 @t266 @t180 @t179)) % 0.39/0.93 (define @t289 () (or @t210 @t184 @t183 @t182 @t181 @t266 @t180 @t179)) % 0.39/0.93 (define @t290 () (not @t29)) % 0.39/0.93 (define @t291 () (or @t281 @t280 @t279)) % 0.39/0.93 (define @t292 () (or @t205 @t283 @t291)) % 0.39/0.93 (define @t293 () (forall @t285 @t292)) % 0.39/0.93 (define @t294 () (@list @t277)) % 0.39/0.93 (define @t295 () (forall @t294 @t292)) % 0.39/0.93 (define @t296 () (forall @t294 @t291)) % 0.39/0.93 (define @t297 () (or @t205 @t283 @t296)) % 0.39/0.93 (define @t298 () (= @t1 @t4)) % 0.39/0.93 (define @t299 () (or @t225 @t224 @t298)) % 0.39/0.93 (define @t300 () (forall @t14 @t299)) % 0.39/0.93 (define @t301 () (or @t205 @t283 @t300)) % 0.39/0.93 (define @t302 () (or @t283 @t300)) % 0.39/0.93 (define @t303 () (or @t283 @t299)) % 0.39/0.93 (define @t304 () (or @t225 @t283 @t224 @t298)) % 0.39/0.93 (define @t305 () (or @t283 @t224 @t298)) % 0.39/0.93 (define @t306 () (and @t282 @t6)) % 0.39/0.93 (define @t307 () (=> @t306 @t298)) % 0.39/0.93 (define @t308 () (tptp.r1_tarski @t249 @t248)) % 0.39/0.93 (define @t309 () (tptp.k1_rmod_5 @t251 @t250 @t248)) % 0.39/0.93 (define @t310 () (= @t250 @t309)) % 0.39/0.93 (define @t311 () (not @t308)) % 0.39/0.93 (define @t312 () (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t250))) % 0.39/0.93 (define @t313 () (tptp.m1_subset_1 @t248 @t312)) % 0.39/0.93 (define @t314 () (not @t313)) % 0.39/0.93 (define @t315 () (tptp.k1_rmod_5 @t251 @t250 @t249)) % 0.39/0.93 (define @t316 () (= @t250 @t315)) % 0.39/0.93 (define @t317 () (not @t316)) % 0.39/0.93 (define @t318 () (tptp.m1_subset_1 @t249 @t312)) % 0.39/0.93 (define @t319 () (not @t318)) % 0.39/0.93 (define @t320 () (tptp.l1_vectsp_2 @t250 @t251)) % 0.39/0.93 (define @t321 () (not @t320)) % 0.39/0.93 (define @t322 () (tptp.v5_vectsp_2 @t250 @t251)) % 0.39/0.93 (define @t323 () (not @t322)) % 0.39/0.93 (define @t324 () (tptp.v3_vectsp_2 @t250 @t251)) % 0.39/0.93 (define @t325 () (not @t324)) % 0.39/0.93 (define @t326 () (tptp.v6_rlvect_1 @t250)) % 0.39/0.93 (define @t327 () (not @t326)) % 0.39/0.93 (define @t328 () (tptp.v5_rlvect_1 @t250)) % 0.39/0.93 (define @t329 () (not @t328)) % 0.39/0.93 (define @t330 () (tptp.v4_rlvect_1 @t250)) % 0.39/0.93 (define @t331 () (not @t330)) % 0.39/0.93 (define @t332 () (tptp.v3_rlvect_1 @t250)) % 0.39/0.93 (define @t333 () (not @t332)) % 0.39/0.93 (define @t334 () (tptp.v3_struct_0 @t250)) % 0.39/0.93 (define @t335 () (tptp.l3_vectsp_1 @t251)) % 0.39/0.93 (define @t336 () (not @t335)) % 0.39/0.93 (define @t337 () (tptp.v2_vectsp_2 @t251)) % 0.39/0.93 (define @t338 () (not @t337)) % 0.39/0.93 (define @t339 () (tptp.v10_vectsp_1 @t251)) % 0.39/0.93 (define @t340 () (tptp.v8_vectsp_1 @t251)) % 0.39/0.93 (define @t341 () (not @t340)) % 0.39/0.93 (define @t342 () (tptp.v7_vectsp_1 @t251)) % 0.39/0.93 (define @t343 () (not @t342)) % 0.39/0.93 (define @t344 () (tptp.v6_vectsp_1 @t251)) % 0.39/0.93 (define @t345 () (not @t344)) % 0.39/0.93 (define @t346 () (tptp.v7_group_1 @t251)) % 0.39/0.93 (define @t347 () (not @t346)) % 0.39/0.93 (define @t348 () (tptp.v4_group_1 @t251)) % 0.39/0.93 (define @t349 () (not @t348)) % 0.39/0.93 (define @t350 () (tptp.v6_rlvect_1 @t251)) % 0.39/0.93 (define @t351 () (not @t350)) % 0.39/0.93 (define @t352 () (tptp.v5_rlvect_1 @t251)) % 0.39/0.93 (define @t353 () (not @t352)) % 0.39/0.93 (define @t354 () (tptp.v4_rlvect_1 @t251)) % 0.39/0.93 (define @t355 () (not @t354)) % 0.39/0.93 (define @t356 () (tptp.v3_rlvect_1 @t251)) % 0.39/0.93 (define @t357 () (not @t356)) % 0.39/0.93 (define @t358 () (tptp.v3_struct_0 @t251)) % 0.39/0.93 (define @t359 () (or @t358 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t338 @t336 @t334 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t314 @t311 @t310)) % 0.39/0.93 (define @t360 () (@list true)) % 0.39/0.93 (define @t361 () (@list @t359)) % 0.39/0.93 (define @t362 () (tptp.m1_rmod_2 @t315 @t251 @t309)) % 0.39/0.93 (define @t363 () (or @t358 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t338 @t336 @t334 @t333 @t331 @t329 @t327 @t323 @t321 @t319 @t314 @t311 @t362)) % 0.39/0.93 (define @t364 () (tptp.m1_rmod_2 @t250 @t251 @t309)) % 0.39/0.93 (define @t365 () (@var "BOUND_VARIABLE_8411" $$unsorted)) % 0.39/0.93 (define @t366 () (@var "BOUND_VARIABLE_8409" $$unsorted)) % 0.39/0.93 (define @t367 () (= @t366 @t365)) % 0.39/0.93 (define @t368 () (not (tptp.m1_rmod_2 @t366 @t3 @t365))) % 0.39/0.93 (define @t369 () (not (tptp.m1_rmod_2 @t365 @t3 @t366))) % 0.39/0.93 (define @t370 () (not (tptp.l1_vectsp_2 @t365 @t3))) % 0.39/0.93 (define @t371 () (not (tptp.v5_vectsp_2 @t365 @t3))) % 0.39/0.93 (define @t372 () (not (tptp.v3_vectsp_2 @t365 @t3))) % 0.39/0.93 (define @t373 () (not (tptp.v6_rlvect_1 @t365))) % 0.39/0.93 (define @t374 () (not (tptp.v5_rlvect_1 @t365))) % 0.39/0.93 (define @t375 () (not (tptp.v4_rlvect_1 @t365))) % 0.39/0.93 (define @t376 () (not (tptp.v3_rlvect_1 @t365))) % 0.39/0.93 (define @t377 () (tptp.v3_struct_0 @t365)) % 0.39/0.93 (define @t378 () (not (tptp.l1_vectsp_2 @t366 @t3))) % 0.39/0.93 (define @t379 () (not (tptp.v5_vectsp_2 @t366 @t3))) % 0.39/0.93 (define @t380 () (not (tptp.v3_vectsp_2 @t366 @t3))) % 0.39/0.93 (define @t381 () (not (tptp.v6_rlvect_1 @t366))) % 0.39/0.93 (define @t382 () (not (tptp.v5_rlvect_1 @t366))) % 0.39/0.93 (define @t383 () (not (tptp.v4_rlvect_1 @t366))) % 0.39/0.93 (define @t384 () (not (tptp.v3_rlvect_1 @t366))) % 0.39/0.93 (define @t385 () (tptp.v3_struct_0 @t366)) % 0.39/0.93 (define @t386 () (or @t385 @t384 @t383 @t382 @t381 @t380 @t379 @t378 @t377 @t376 @t375 @t374 @t373 @t372 @t371 @t370 @t369 @t368 @t367)) % 0.39/0.93 (define @t387 () (or @t46 @t165 @t164 @t163 @t162 @t161 @t159 @t158 @t157 @t155 @t386)) % 0.39/0.93 (define @t388 () (forall (@list @t3 @t366 @t365) @t387)) % 0.39/0.93 (define @t389 () (@list @t366 @t365)) % 0.39/0.93 (define @t390 () (forall @t389 @t387)) % 0.39/0.93 (define @t391 () (forall @t389 @t386)) % 0.39/0.93 (define @t392 () (@var "BOUND_VARIABLE_8377" $$unsorted)) % 0.39/0.93 (define @t393 () (or @t46 @t165 @t164 @t163 @t162 @t161 @t159 @t158 @t157 @t155 @t391)) % 0.39/0.93 (define @t394 () (= @t1 @t392)) % 0.39/0.93 (define @t395 () (not (tptp.m1_rmod_2 @t1 @t3 @t392))) % 0.39/0.93 (define @t396 () (not (tptp.m1_rmod_2 @t392 @t3 @t1))) % 0.39/0.93 (define @t397 () (not (tptp.l1_vectsp_2 @t392 @t3))) % 0.39/0.93 (define @t398 () (not (tptp.v5_vectsp_2 @t392 @t3))) % 0.39/0.93 (define @t399 () (not (tptp.v3_vectsp_2 @t392 @t3))) % 0.39/0.93 (define @t400 () (not (tptp.v6_rlvect_1 @t392))) % 0.39/0.93 (define @t401 () (not (tptp.v5_rlvect_1 @t392))) % 0.39/0.93 (define @t402 () (not (tptp.v4_rlvect_1 @t392))) % 0.39/0.93 (define @t403 () (not (tptp.v3_rlvect_1 @t392))) % 0.39/0.93 (define @t404 () (tptp.v3_struct_0 @t392)) % 0.39/0.93 (define @t405 () (or @t27 @t184 @t183 @t182 @t181 @t266 @t180 @t179 @t404 @t403 @t402 @t401 @t400 @t399 @t398 @t397 @t396 @t395 @t394)) % 0.39/0.93 (define @t406 () (@list @t1 @t392)) % 0.39/0.93 (define @t407 () (forall @t406 @t405)) % 0.39/0.93 (define @t408 () (or @t46 @t165 @t164 @t163 @t162 @t161 @t159 @t158 @t157 @t155 @t407)) % 0.39/0.93 (define @t409 () (or @t191 @t165 @t164 @t163 @t162 @t161 @t159 @t158 @t157 @t155)) % 0.39/0.93 (define @t410 () (or @t404 @t403 @t402 @t401 @t400 @t399 @t398 @t397 @t396 @t395 @t394)) % 0.39/0.93 (define @t411 () (or @t27 @t184 @t183 @t182 @t181 @t266 @t180 @t179 @t410)) % 0.39/0.93 (define @t412 () (forall @t406 @t411)) % 0.39/0.93 (define @t413 () (@list @t392)) % 0.39/0.93 (define @t414 () (forall @t413 @t411)) % 0.39/0.93 (define @t415 () (forall @t413 @t410)) % 0.39/0.93 (define @t416 () (@list @t5)) % 0.39/0.93 (define @t417 () (or @t27 @t184 @t183 @t182 @t181 @t266 @t180 @t179 @t415)) % 0.39/0.93 (define @t418 () (= @t1 @t5)) % 0.39/0.93 (define @t419 () (not @t129)) % 0.39/0.93 (define @t420 () (not @t94)) % 0.39/0.93 (define @t421 () (not @t85)) % 0.39/0.93 (define @t422 () (not @t86)) % 0.39/0.93 (define @t423 () (not @t116)) % 0.39/0.93 (define @t424 () (not @t87)) % 0.39/0.93 (define @t425 () (not @t88)) % 0.39/0.93 (define @t426 () (not @t89)) % 0.39/0.93 (define @t427 () (not @t90)) % 0.39/0.93 (define @t428 () (or @t91 @t427 @t426 @t425 @t424 @t423 @t422 @t421 @t420 @t419 @t418)) % 0.39/0.93 (define @t429 () (forall @t18 @t428)) % 0.39/0.93 (define @t430 () (or @t27 @t184 @t183 @t182 @t181 @t266 @t180 @t179 @t429)) % 0.39/0.93 (define @t431 () (or @t420 @t419 @t418)) % 0.39/0.93 (define @t432 () (not @t92)) % 0.39/0.93 (define @t433 () (or @t432 @t427 @t426 @t425 @t424 @t423 @t422 @t421)) % 0.39/0.93 (define @t434 () (=> @t130 @t418)) % 0.39/0.93 (define @t435 () (@list @t251 @t250 @t309)) % 0.39/0.93 (define @t436 () (@var "BOUND_VARIABLE_8016" $$unsorted)) % 0.39/0.93 (define @t437 () (and (not (tptp.v3_struct_0 @t436)) (tptp.v3_rlvect_1 @t436) (tptp.v4_rlvect_1 @t436) (tptp.v5_rlvect_1 @t436) (tptp.v6_rlvect_1 @t436) (tptp.v5_vectsp_2 @t436 @t3) (tptp.l1_vectsp_2 @t436 @t3))) % 0.39/0.93 (define @t438 () (not (tptp.m1_rmod_2 @t436 @t3 @t1))) % 0.39/0.93 (define @t439 () (or @t438 @t437)) % 0.39/0.93 (define @t440 () (or @t46 @t165 @t164 @t163 @t162 @t161 @t159 @t158 @t157 @t155 @t27 @t184 @t183 @t182 @t181 @t180 @t179 @t439)) % 0.39/0.93 (define @t441 () (forall (@list @t3 @t1 @t436) @t440)) % 0.39/0.93 (define @t442 () (@list @t436)) % 0.39/0.93 (define @t443 () (forall @t442 @t440)) % 0.39/0.93 (define @t444 () (forall @t442 @t439)) % 0.39/0.93 (define @t445 () (or @t46 @t165 @t164 @t163 @t162 @t161 @t159 @t158 @t157 @t155 @t27 @t184 @t183 @t182 @t181 @t180 @t179 @t444)) % 0.39/0.93 (define @t446 () (forall @t18 (or @t420 @t93))) % 0.39/0.93 (define @t447 () (or @t46 @t165 @t164 @t163 @t162 @t161 @t159 @t158 @t157 @t155 @t27 @t184 @t183 @t182 @t181 @t180 @t179 @t446)) % 0.39/0.93 (define @t448 () (or @t191 @t165 @t164 @t163 @t162 @t161 @t159 @t158 @t157 @t155 @t210 @t184 @t183 @t182 @t181 @t180 @t179)) % 0.39/0.93 (define @t449 () (or @t191 @t165 @t164 @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t190 @t156 @t155 @t210 @t184 @t183 @t182 @t181 @t180 @t179 @t205)) % 0.39/0.93 (define @t450 () (tptp.m1_rmod_2 @t309 @t251 @t250)) % 0.39/0.93 (define @t451 () (tptp.v3_vectsp_2 @t309 @t251)) % 0.39/0.93 (define @t452 () (and @t451 @t450)) % 0.39/0.93 (define @t453 () (or @t358 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t338 @t336 @t334 @t333 @t331 @t329 @t327 @t323 @t321 @t314 @t452)) % 0.39/0.93 (define @t454 () (not @t452)) % 0.39/0.93 (define @t455 () (@list false)) % 0.39/0.93 (define @t456 () (@list @t452)) % 0.39/0.93 (define @t457 () (tptp.l1_vectsp_2 @t309 @t251)) % 0.39/0.93 (define @t458 () (tptp.v5_vectsp_2 @t309 @t251)) % 0.39/0.93 (define @t459 () (tptp.v6_rlvect_1 @t309)) % 0.39/0.93 (define @t460 () (tptp.v5_rlvect_1 @t309)) % 0.39/0.93 (define @t461 () (tptp.v4_rlvect_1 @t309)) % 0.39/0.93 (define @t462 () (tptp.v3_rlvect_1 @t309)) % 0.39/0.93 (define @t463 () (tptp.v3_struct_0 @t309)) % 0.39/0.93 (define @t464 () (not @t463)) % 0.39/0.93 (define @t465 () (and @t464 @t462 @t461 @t460 @t459 @t458 @t457)) % 0.39/0.93 (define @t466 () (not @t450)) % 0.39/0.93 (define @t467 () (or @t358 @t357 @t355 @t353 @t351 @t349 @t345 @t343 @t341 @t336 @t334 @t333 @t331 @t329 @t327 @t323 @t321 @t466 @t465)) % 0.39/0.93 (define @t468 () (not @t465)) % 0.39/0.93 (define @t469 () (@list @t465)) % 0.39/0.93 (define @t470 () (not @t364)) % 0.39/0.93 (define @t471 () (not @t457)) % 0.39/0.93 (define @t472 () (not @t458)) % 0.39/0.93 (define @t473 () (not @t451)) % 0.39/0.93 (define @t474 () (not @t459)) % 0.39/0.93 (define @t475 () (not @t460)) % 0.39/0.93 (define @t476 () (not @t461)) % 0.39/0.93 (define @t477 () (not @t462)) % 0.39/0.93 (define @t478 () (or @t358 @t357 @t355 @t353 @t351 @t349 @t345 @t343 @t341 @t336 @t334 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t463 @t477 @t476 @t475 @t474 @t473 @t472 @t471 @t466 @t470 @t310)) % 0.39/0.93 (assume @p1 @t52) % 0.39/0.93 (assume @p2 (forall @t56 (=> @t55 (=> @t22 (= @t1 (tptp.g1_vectsp_2 @t3 @t10 (tptp.u1_rlvect_1 @t1) (tptp.u2_struct_0 @t1) @t53)))))) % 0.39/0.93 (assume @p3 (forall @t56 (=> @t57 (not (tptp.r2_hidden @t1 @t3))))) % 0.39/0.93 (assume @p4 (forall @t60 (=> @t59 (tptp.v1_relat_1 @t5)))) % 0.39/0.93 (assume @p5 (forall @t50 (=> @t62 (=> (and @t47 @t40 @t37) @t61)))) % 0.39/0.93 (assume @p6 (forall @t50 (=> @t62 (=> (and @t47 @t40 @t39) @t61)))) % 0.39/0.93 (assume @p7 (forall @t77 (=> @t76 (and @t65 (tptp.l1_vectsp_2 @t64 @t3))))) % 0.39/0.93 (assume @p8 @t80) % 0.39/0.93 (assume @p9 true) % 0.39/0.93 (assume @p10 (forall @t50 (=> @t81 @t54))) % 0.39/0.93 (assume @p11 (forall @t50 (=> @t83 @t82))) % 0.39/0.93 (assume @p12 (forall @t50 (=> @t62 @t81))) % 0.39/0.93 (assume @p13 (forall @t50 (=> @t54 (forall @t31 (=> @t20 (tptp.l1_rlvect_1 @t1)))))) % 0.39/0.93 (assume @p14 (forall @t50 (=> @t82 @t54))) % 0.39/0.93 (assume @p15 (forall @t50 (=> @t84 (and @t62 @t82)))) % 0.39/0.93 (assume @p16 (forall @t50 (=> @t33 (and @t83 @t84)))) % 0.39/0.93 (assume @p17 @t98) % 0.39/0.93 (assume @p18 (forall @t60 (=> @t99 @t59))) % 0.39/0.93 (assume @p19 (forall @t50 (=> @t83 (and (tptp.v1_funct_1 @t101) (tptp.v1_funct_2 @t101 @t100 @t66) (tptp.m2_relset_1 @t101 @t100 @t66))))) % 0.39/0.93 (assume @p20 (forall @t56 (=> @t55 (and (tptp.v1_funct_1 @t53) (tptp.v1_funct_2 @t53 @t102 @t10) (tptp.m2_relset_1 @t53 @t102 @t10))))) % 0.39/0.93 (assume @p21 (forall @t50 (=> @t82 (tptp.m1_subset_1 (tptp.u2_struct_0 @t3) @t66)))) % 0.39/0.93 (assume @p22 (exists @t50 @t81)) % 0.39/0.93 (assume @p23 (exists @t50 @t83)) % 0.39/0.93 (assume @p24 (exists @t50 @t54)) % 0.39/0.93 (assume @p25 (exists @t50 @t62)) % 0.39/0.93 (assume @p26 (forall @t50 (=> @t54 (exists @t31 @t20)))) % 0.39/0.93 (assume @p27 (exists @t50 @t82)) % 0.39/0.93 (assume @p28 (exists @t50 @t84)) % 0.39/0.93 (assume @p29 (exists @t50 @t33)) % 0.39/0.93 (assume @p30 (forall @t56 (exists @t18 @t103))) % 0.39/0.93 (assume @p31 (forall @t56 (=> @t96 (exists @t18 @t94)))) % 0.39/0.93 (assume @p32 (forall @t50 (exists @t31 (tptp.m1_subset_1 @t1 @t3)))) % 0.39/0.93 (assume @p33 (forall @t56 (exists @t18 @t99))) % 0.39/0.93 (assume @p34 (forall @t50 (=> @t104 (not (tptp.v1_xboole_0 @t66))))) % 0.39/0.93 (assume @p35 (forall @t50 (not (tptp.v1_xboole_0 @t105)))) % 0.39/0.93 (assume @p36 (forall @t77 (=> (and @t54 @t107 @t75 @t74 @t73 @t71 @t70 @t69 @t68) (and (not (tptp.v3_struct_0 @t64)) @t65)))) % 0.39/0.93 (assume @p37 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.39/0.93 (assume @p38 (forall @t56 (=> (and @t109 @t107) (not (tptp.v1_xboole_0 @t58))))) % 0.39/0.93 (assume @p39 (forall @t77 (=> @t76 (forall (@list @t114 @t113 @t112 @t111 @t110) (=> (= @t64 (tptp.g1_vectsp_2 @t114 @t113 @t112 @t111 @t110)) (and (= @t3 @t114) (= @t1 @t113) (= @t5 @t112) (= @t2 @t111) (= @t63 @t110))))))) % 0.39/0.93 (assume @p40 (forall @t50 (=> @t115 (exists @t31 (and @t20 @t28 @t26 @t25 @t24 @t23 @t22))))) % 0.39/0.93 (assume @p41 (forall @t50 (=> @t115 (exists @t31 (and @t20 @t28 @t26 @t25 @t24 @t23 @t22 @t21))))) % 0.39/0.93 (assume @p42 (forall @t56 (=> @t96 (exists @t18 (and @t94 @t92 @t90 @t89 @t88 @t87 @t116 @t86))))) % 0.39/0.93 (assume @p43 (forall @t50 (=> @t109 (exists @t31 (and @t117 @t107))))) % 0.39/0.93 (assume @p44 (exists @t50 @t108)) % 0.39/0.93 (assume @p45 (forall @t50 (exists @t31 (and @t117 @t106)))) % 0.39/0.93 (assume @p46 (exists @t50 @t109)) % 0.39/0.93 (assume @p47 (exists @t50 (and @t54 @t47))) % 0.39/0.93 (assume @p48 (exists @t50 (and @t82 @t47))) % 0.39/0.93 (assume @p49 (forall @t50 (=> @t104 (exists @t31 (and (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t66)) @t107))))) % 0.39/0.93 (assume @p50 (forall @t50 (=> @t54 (exists @t31 (and @t20 @t22))))) % 0.39/0.93 (assume @p51 (forall @t50 (=> @t54 (exists @t31 (and @t20 @t28))))) % 0.39/0.93 (assume @p52 (forall @t60 (= @t99 @t103))) % 0.39/0.93 (assume @p53 (forall @t56 (tptp.r1_tarski @t3 @t3))) % 0.39/0.93 (assume @p54 @t127) % 0.39/0.93 (assume @p55 (forall @t56 (=> @t57 @t128))) % 0.39/0.93 (assume @p56 (forall @t56 (=> @t128 (or @t106 @t57)))) % 0.39/0.93 (assume @p57 @t138) % 0.39/0.93 (assume @p58 (forall @t56 (= (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t3 @t1)))) % 0.39/0.93 (assume @p59 (forall @t60 (=> (and @t57 @t139) (tptp.m1_subset_1 @t3 @t5)))) % 0.39/0.93 (assume @p60 (forall @t60 (not (and @t57 @t139 (tptp.v1_xboole_0 @t5))))) % 0.39/0.93 (assume @p61 (forall @t50 (=> @t108 (= @t3 tptp.k1_xboole_0)))) % 0.39/0.93 (assume @p62 (forall @t56 (not (and @t57 @t106)))) % 0.39/0.93 (assume @p63 (forall @t56 (not (and @t108 (not (= @t3 @t1)) @t106)))) % 0.39/0.93 (step @p64 :rule evaluate :args ((= false true))) % 0.39/0.93 (step @p65 :rule aci_norm :args ((= @t167 (or @t46 @t165 @t164 @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t35 @t156 @t155 @t154 @t153 @t152 @t151 @t150 @t149 @t148 @t147 @t146 @t144 @t143)))) % 0.39/0.93 (step @p66 :rule cong :premises (@p65) :args (@t168)) % 0.39/0.93 (step @p67 :rule quant-merge-prenex :args ((= (forall @t50 @t170) @t168))) % 0.39/0.93 (step @p68 :rule alpha_equiv :args (@t171 (@list @t141 @t142 @t140) (@list @t1 @t173 @t172))) % 0.39/0.93 (step @p69 :rule refl :args (@t155)) % 0.39/0.93 (step @p70 :rule refl :args (@t156)) % 0.39/0.93 (step @p71 :rule refl :args (@t35)) % 0.39/0.93 (step @p72 :rule refl :args (@t157)) % 0.39/0.93 (step @p73 :rule refl :args (@t158)) % 0.39/0.93 (step @p74 :rule refl :args (@t159)) % 0.39/0.93 (step @p75 :rule refl :args (@t160)) % 0.39/0.93 (step @p76 :rule refl :args (@t161)) % 0.39/0.93 (step @p77 :rule refl :args (@t162)) % 0.39/0.93 (step @p78 :rule refl :args (@t163)) % 0.39/0.93 (step @p79 :rule refl :args (@t164)) % 0.39/0.93 (step @p80 :rule refl :args (@t165)) % 0.39/0.93 (step @p81 :rule refl :args (@t46)) % 0.39/0.93 (step @p82 :rule nary_cong :premises (@p81 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p71 @p70 @p69 @p68) :args (@t174)) % 0.39/0.93 (step @p83 :rule quant-miniscope-or :args ((= @t170 @t174))) % 0.39/0.93 (step @p84 :rule trans :premises (@p83 @p82)) % 0.39/0.93 (step @p85 :rule symm :premises (@p84)) % 0.39/0.93 (step @p86 :rule cong :premises (@p85) :args ((forall @t50 @t188))) % 0.39/0.93 (step @p87 :rule trans :premises (@p86 @p67)) % 0.39/0.93 (step @p88 :rule trans :premises (@p87 @p66)) % 0.39/0.93 (step @p89 :rule aci_norm :args ((= (or @t189 @t187) @t188))) % 0.39/0.93 (step @p90 :rule refl :args (@t187)) % 0.39/0.93 (step @p91 :rule bool-double-not-elim :args (@t35)) % 0.39/0.93 (step @p92 :rule bool-double-not-elim :args (@t46)) % 0.39/0.93 (step @p93 :rule nary_cong :premises (@p92 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p91 @p70 @p69) :args (@t192)) % 0.39/0.93 (step @p94 :rule aci_norm :args ((= (or @t191 (or @t165 (or @t164 (or @t163 (or @t162 (or @t161 (or @t160 (or @t159 (or @t158 (or @t157 (or @t190 (or @t156 @t155)))))))))))) @t192))) % 0.39/0.93 (step @p95 :rule trans :premises (@p94 @p93)) % 0.39/0.93 (step @p96 :rule bool-and-de-morgan :args (@t34 @t33 true)) % 0.39/0.93 (step @p97 :rule refl :args (@t190)) % 0.39/0.93 (step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t190 (not (and @t34 @t33))))) % 0.39/0.93 (step @p99 :rule bool-and-de-morgan :args (@t36 @t34 (and @t33))) % 0.39/0.93 (step @p100 :rule trans :premises (@p99 @p98)) % 0.39/0.93 (step @p101 :rule nary_cong :premises (@p72 @p100) :args ((or @t157 (not (and @t36 @t34 @t33))))) % 0.39/0.93 (step @p102 :rule bool-and-de-morgan :args (@t37 @t36 (and @t34 @t33))) % 0.39/0.93 (step @p103 :rule trans :premises (@p102 @p101)) % 0.39/0.93 (step @p104 :rule nary_cong :premises (@p73 @p103) :args ((or @t158 (not (and @t37 @t36 @t34 @t33))))) % 0.39/0.93 (step @p105 :rule bool-and-de-morgan :args (@t38 @t37 (and @t36 @t34 @t33))) % 0.39/0.93 (step @p106 :rule trans :premises (@p105 @p104)) % 0.39/0.93 (step @p107 :rule nary_cong :premises (@p74 @p106) :args ((or @t159 (not (and @t38 @t37 @t36 @t34 @t33))))) % 0.39/0.93 (step @p108 :rule bool-and-de-morgan :args (@t39 @t38 (and @t37 @t36 @t34 @t33))) % 0.39/0.93 (step @p109 :rule trans :premises (@p108 @p107)) % 0.39/0.93 (step @p110 :rule nary_cong :premises (@p75 @p109) :args ((or @t160 (not (and @t39 @t38 @t37 @t36 @t34 @t33))))) % 0.39/0.93 (step @p111 :rule bool-and-de-morgan :args (@t40 @t39 (and @t38 @t37 @t36 @t34 @t33))) % 0.39/0.93 (step @p112 :rule trans :premises (@p111 @p110)) % 0.39/0.93 (step @p113 :rule nary_cong :premises (@p76 @p112) :args ((or @t161 (not (and @t40 @t39 @t38 @t37 @t36 @t34 @t33))))) % 0.39/0.93 (step @p114 :rule bool-and-de-morgan :args (@t41 @t40 (and @t39 @t38 @t37 @t36 @t34 @t33))) % 0.39/0.93 (step @p115 :rule trans :premises (@p114 @p113)) % 0.39/0.93 (step @p116 :rule nary_cong :premises (@p77 @p115) :args ((or @t162 (not (and @t41 @t40 @t39 @t38 @t37 @t36 @t34 @t33))))) % 0.39/0.93 (step @p117 :rule bool-and-de-morgan :args (@t42 @t41 (and @t40 @t39 @t38 @t37 @t36 @t34 @t33))) % 0.39/0.93 (step @p118 :rule trans :premises (@p117 @p116)) % 0.39/0.93 (step @p119 :rule nary_cong :premises (@p78 @p118) :args ((or @t163 (not (and @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t34 @t33))))) % 0.39/0.93 (step @p120 :rule bool-and-de-morgan :args (@t43 @t42 (and @t41 @t40 @t39 @t38 @t37 @t36 @t34 @t33))) % 0.39/0.93 (step @p121 :rule trans :premises (@p120 @p119)) % 0.39/0.93 (step @p122 :rule nary_cong :premises (@p79 @p121) :args ((or @t164 (not (and @t43 @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t34 @t33))))) % 0.39/0.93 (step @p123 :rule bool-and-de-morgan :args (@t44 @t43 (and @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t34 @t33))) % 0.39/0.93 (step @p124 :rule trans :premises (@p123 @p122)) % 0.39/0.93 (step @p125 :rule nary_cong :premises (@p80 @p124) :args ((or @t165 (not (and @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t34 @t33))))) % 0.39/0.93 (step @p126 :rule bool-and-de-morgan :args (@t45 @t44 (and @t43 @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t34 @t33))) % 0.39/0.93 (step @p127 :rule trans :premises (@p126 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@t39 @t38 @t37 @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20))) % 0.39/0.93 (step @p652 :rule trans :premises (@p651 @p650)) % 0.39/0.93 (step @p653 :rule nary_cong :premises (@p128 @p652) :args ((or @t191 (not (and @t45 @t44 @t43 @t42 @t41 @t39 @t38 @t37 @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20))))) % 0.39/0.93 (step @p654 :rule bool-and-de-morgan :args (@t47 @t45 (and @t44 @t43 @t42 @t41 @t39 @t38 @t37 @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20))) % 0.39/0.93 (step @p655 :rule trans :premises (@p654 @p653)) % 0.39/0.93 (step @p656 :rule trans :premises (@p655 @p625)) % 0.39/0.93 (step @p657 :rule nary_cong :premises (@p656 @p622) :args ((or (not @t96) @t446))) % 0.39/0.93 (step @p658 :rule trans :premises (@p657 @p621)) % 0.39/0.93 (step @p659 :rule bool-impl-elim :args (@t96 @t446)) % 0.39/0.93 (step @p660 :rule trans :premises (@p659 @p658)) % 0.39/0.93 (step @p661 :rule cong :premises (@p660) :args ((forall @t56 (=> @t96 @t446)))) % 0.39/0.93 (step @p662 :rule trans :premises (@p661 @p620)) % 0.39/0.93 (step @p663 :rule bool-impl-elim :args (@t94 @t93)) % 0.39/0.93 (step @p664 :rule cong :premises (@p663) :args (@t95)) % 0.39/0.93 (step @p665 :rule refl :args (@t96)) % 0.39/0.93 (step @p666 :rule cong :premises (@p665 @p664) :args (@t97)) % 0.39/0.93 (step @p667 :rule cong :premises (@p666) :args (@t98)) % 0.39/0.93 (step @p668 :rule trans :premises (@p667 @p662)) % 0.39/0.93 (step @p669 :rule eq_resolve :premises (@p17 @p668)) % 0.39/0.93 (step @p670 :rule instantiate :premises (@p669) :args (@t435)) % 0.39/0.93 (step @p671 :rule aci_norm :args ((= (or (or @t46 @t165 @t164 @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t35 @t156 @t155 @t27 @t184 @t183 @t182 @t181 @t180 @t179 @t205) @t78) (or @t46 @t165 @t164 @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t35 @t156 @t155 @t27 @t184 @t183 @t182 @t181 @t180 @t179 @t205 @t78)))) % 0.39/0.93 (step @p672 :rule refl :args (@t78)) % 0.39/0.93 (step @p673 :rule nary_cong :premises (@p92 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p91 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0.39/0.93 (step @p683 :rule nary_cong :premises (@p146 @p682) :args ((or @t182 (not (and @t23 @t21 @t20 @t16))))) % 0.39/0.93 (step @p684 :rule bool-and-de-morgan :args (@t24 @t23 (and @t21 @t20 @t16))) % 0.39/0.93 (step @p685 :rule trans :premises (@p684 @p683)) % 0.39/0.93 (step @p686 :rule nary_cong :premises (@p147 @p685) :args ((or @t183 (not (and @t24 @t23 @t21 @t20 @t16))))) % 0.39/0.93 (step @p687 :rule bool-and-de-morgan :args (@t25 @t24 (and @t23 @t21 @t20 @t16))) % 0.39/0.93 (step @p688 :rule trans :premises (@p687 @p686)) % 0.39/0.93 (step @p689 :rule nary_cong :premises (@p148 @p688) :args ((or @t184 (not (and @t25 @t24 @t23 @t21 @t20 @t16))))) % 0.39/0.93 (step @p690 :rule bool-and-de-morgan :args (@t26 @t25 (and @t24 @t23 @t21 @t20 @t16))) % 0.39/0.93 (step @p691 :rule trans :premises (@p690 @p689)) % 0.39/0.93 (step @p692 :rule nary_cong :premises (@p176 @p691) :args ((or @t210 (not (and @t26 @t25 @t24 @t23 @t21 @t20 @t16))))) % 0.39/0.93 (step @p693 :rule bool-and-de-morgan :args (@t28 @t26 (and @t25 @t24 @t23 @t21 @t20 @t16))) % 0.39/0.93 (step @p694 :rule trans :premises (@p693 @p692)) % 0.39/0.93 (step @p695 :rule nary_cong :premises (@p69 @p694) :args ((or @t155 (not (and @t28 @t26 @t25 @t24 @t23 @t21 @t20 @t16))))) % 0.39/0.93 (step @p696 :rule bool-and-de-morgan :args (@t33 @t28 (and @t26 @t25 @t24 @t23 @t21 @t20 @t16))) % 0.39/0.93 (step @p697 :rule trans :premises (@p696 @p695)) % 0.39/0.93 (step @p698 :rule nary_cong :premises (@p70 @p697) :args ((or @t156 (not (and @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20 @t16))))) % 0.39/0.93 (step @p699 :rule bool-and-de-morgan :args (@t34 @t33 (and @t28 @t26 @t25 @t24 @t23 @t21 @t20 @t16))) % 0.39/0.93 (step @p700 :rule trans :premises (@p699 @p698)) % 0.39/0.93 (step @p701 :rule nary_cong :premises (@p97 @p700) :args ((or @t190 (not (and @t34 @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20 @t16))))) % 0.39/0.93 (step @p702 :rule bool-and-de-morgan :args (@t36 @t34 (and @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20 @t16))) % 0.39/0.93 (step @p703 :rule trans :premises (@p702 @p701)) % 0.39/0.93 (step @p704 :rule nary_cong :premises (@p72 @p703) :args ((or @t157 (not (and @t36 @t34 @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20 @t16))))) % 0.39/0.93 (step @p705 :rule bool-and-de-morgan :args (@t37 @t36 (and @t34 @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20 @t16))) % 0.39/0.93 (step @p706 :rule trans :premises (@p705 @p704)) % 0.39/0.93 (step @p707 :rule nary_cong :premises (@p73 @p706) :args ((or @t158 (not (and @t37 @t36 @t34 @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20 @t16))))) % 0.39/0.93 (step @p708 :rule bool-and-de-morgan :args (@t38 @t37 (and @t36 @t34 @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20 @t16))) % 0.39/0.93 (step @p709 :rule trans :premises (@p708 @p707)) % 0.39/0.93 (step @p710 :rule nary_cong :premises (@p74 @p709) :args ((or @t159 (not (and @t38 @t37 @t36 @t34 @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20 @t16))))) % 0.39/0.93 (step @p711 :rule bool-and-de-morgan :args (@t39 @t38 (and @t37 @t36 @t34 @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20 @t16))) % 0.39/0.93 (step @p712 :rule trans :premises (@p711 @p710)) % 0.39/0.93 (step @p713 :rule nary_cong :premises (@p75 @p712) :args ((or @t160 (not (and @t39 @t38 @t37 @t36 @t34 @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20 @t16))))) % 0.39/0.93 (step @p714 :rule bool-and-de-morgan :args (@t40 @t39 (and @t38 @t37 @t36 @t34 @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20 @t16))) % 0.39/0.93 (step @p715 :rule trans :premises (@p714 @p713)) % 0.39/0.93 (step @p716 :rule nary_cong :premises (@p76 @p715) :args ((or @t161 (not (and @t40 @t39 @t38 @t37 @t36 @t34 @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20 @t16))))) % 0.39/0.93 (step @p717 :rule bool-and-de-morgan :args (@t41 @t40 (and @t39 @t38 @t37 @t36 @t34 @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20 @t16))) % 0.39/0.93 (step @p718 :rule trans :premises (@p717 @p716)) % 0.39/0.93 (step @p719 :rule nary_cong :premises (@p77 @p718) :args ((or @t162 (not (and @t41 @t40 @t39 @t38 @t37 @t36 @t34 @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20 @t16))))) % 0.39/0.93 (step @p720 :rule bool-and-de-morgan :args (@t42 @t41 (and @t40 @t39 @t38 @t37 @t36 @t34 @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20 @t16))) % 0.39/0.93 (step @p721 :rule trans :premises (@p720 @p719)) % 0.39/0.93 (step @p722 :rule nary_cong :premises (@p78 @p721) :args ((or @t163 (not (and @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t34 @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20 @t16))))) % 0.39/0.93 (step @p723 :rule bool-and-de-morgan :args (@t43 @t42 (and @t41 @t40 @t39 @t38 @t37 @t36 @t34 @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20 @t16))) % 0.39/0.93 (step @p724 :rule trans :premises (@p723 @p722)) % 0.39/0.93 (step @p725 :rule nary_cong :premises (@p79 @p724) :args ((or @t164 (not (and @t43 @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t34 @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20 @t16))))) % 0.39/0.93 (step @p726 :rule bool-and-de-morgan :args (@t44 @t43 (and @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t34 @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20 @t16))) % 0.39/0.93 (step @p727 :rule trans :premises (@p726 @p725)) % 0.39/0.93 (step @p728 :rule nary_cong :premises (@p80 @p727) :args ((or @t165 (not (and @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t34 @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20 @t16))))) % 0.39/0.93 (step @p729 :rule bool-and-de-morgan :args (@t45 @t44 (and @t43 @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t34 @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20 @t16))) % 0.39/0.93 (step @p730 :rule trans :premises (@p729 @p728)) % 0.39/0.93 (step @p731 :rule nary_cong :premises (@p128 @p730) :args ((or @t191 (not (and @t45 @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t34 @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20 @t16))))) % 0.39/0.93 (step @p732 :rule bool-and-de-morgan :args (@t47 @t45 (and @t44 @t43 @t42 @t41 @t40 @t39 @t38 @t37 @t36 @t34 @t33 @t28 @t26 @t25 @t24 @t23 @t21 @t20 @t16))) % 0.39/0.93 (step @p733 :rule trans :premises (@p732 @p731)) % 0.39/0.93 (step @p734 :rule trans :premises (@p733 @p675)) % 0.39/0.93 (step @p735 :rule nary_cong :premises (@p734 @p672) :args ((or (not @t79) @t78))) % 0.39/0.93 (step @p736 :rule trans :premises (@p735 @p671)) % 0.39/0.93 (step @p737 :rule bool-impl-elim :args (@t79 @t78)) % 0.39/0.93 (step @p738 :rule trans :premises (@p737 @p736)) % 0.39/0.93 (step @p739 :rule cong :premises (@p738) :args (@t80)) % 0.39/0.93 (step @p740 :rule eq_resolve :premises (@p8 @p739)) % 0.39/0.93 (step @p741 :rule instantiate :premises (@p740) :args ((@list @t251 @t250 @t248))) % 0.39/0.93 (step @p742 :rule cnf_or_pos :args (@t453)) % 0.39/0.93 (step @p743 :rule reordering :premises (@p742) :args ((or @t358 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t338 @t336 @t334 @t333 @t331 @t329 @t327 @t323 @t321 @t314 @t452 (not @t453)))) % 0.39/0.93 (step @p744 :rule chain_m_resolution :premises (@p743 @p468 @p466 @p460 @p454 @p448 @p442 @p436 @p430 @p424 @p418 @p412 @p410 @p404 @p398 @p396 @p390 @p384 @p378 @p372 @p366 @p354 @p741) :args (@t452 (@list true false false false false false false false false false true false false true false false false false false false false false) (@list @t358 @t356 @t354 @t352 @t350 @t348 @t346 @t344 @t342 @t340 @t339 @t337 @t335 @t334 @t332 @t330 @t328 @t326 @t322 @t320 @t313 @t453))) % 0.39/0.93 (step @p745 :rule cnf_and_pos :args (@t452 1)) % 0.39/0.93 (step @p746 :rule reordering :premises (@p745) :args ((or @t450 @t454))) % 0.39/0.93 (step @p747 :rule chain_m_resolution :premises (@p746 @p744) :args (@t450 @t455 @t456)) % 0.39/0.93 (step @p748 :rule cnf_or_pos :args (@t467)) % 0.39/0.93 (step @p749 :rule reordering :premises (@p748) :args ((or @t358 @t357 @t355 @t353 @t351 @t349 @t345 @t343 @t341 @t336 @t334 @t333 @t331 @t329 @t327 @t323 @t321 @t466 @t465 (not @t467)))) % 0.39/0.93 (step @p750 :rule chain_m_resolution :premises (@p749 @p468 @p466 @p460 @p454 @p448 @p442 @p430 @p424 @p418 @p404 @p398 @p396 @p390 @p384 @p378 @p372 @p366 @p747 @p670) :args (@t465 (@list true false false false false false false false false false true false false false false false false false false) (@list @t358 @t356 @t354 @t352 @t350 @t348 @t344 @t342 @t340 @t335 @t334 @t332 @t330 @t328 @t326 @t322 @t320 @t450 @t467))) % 0.39/0.93 (step @p751 :rule cnf_and_pos :args (@t465 6)) % 0.39/0.93 (step @p752 :rule reordering :premises (@p751) :args ((or @t457 @t468))) % 0.39/0.93 (step @p753 :rule chain_m_resolution :premises (@p752 @p750) :args (@t457 @t455 @t469)) % 0.39/0.93 (step @p754 :rule cnf_and_pos :args (@t465 5)) % 0.39/0.93 (step @p755 :rule reordering :premises (@p754) :args ((or @t458 @t468))) % 0.39/0.93 (step @p756 :rule chain_m_resolution :premises (@p755 @p750) :args (@t458 @t455 @t469)) % 0.39/0.93 (step @p757 :rule cnf_and_pos :args (@t465 4)) % 0.39/0.93 (step @p758 :rule reordering :premises (@p757) :args ((or @t459 @t468))) % 0.39/0.93 (step @p759 :rule chain_m_resolution :premises (@p758 @p750) :args (@t459 @t455 @t469)) % 0.39/0.93 (step @p760 :rule cnf_and_pos :args (@t465 3)) % 0.39/0.93 (step @p761 :rule reordering :premises (@p760) :args ((or @t460 @t468))) % 0.39/0.93 (step @p762 :rule chain_m_resolution :premises (@p761 @p750) :args (@t460 @t455 @t469)) % 0.39/0.93 (step @p763 :rule cnf_and_pos :args (@t465 2)) % 0.39/0.93 (step @p764 :rule reordering :premises (@p763) :args ((or @t461 @t468))) % 0.39/0.93 (step @p765 :rule chain_m_resolution :premises (@p764 @p750) :args (@t461 @t455 @t469)) % 0.39/0.93 (step @p766 :rule cnf_and_pos :args (@t465 1)) % 0.39/0.93 (step @p767 :rule reordering :premises (@p766) :args ((or @t462 @t468))) % 0.39/0.93 (step @p768 :rule chain_m_resolution :premises (@p767 @p750) :args (@t462 @t455 @t469)) % 0.39/0.93 (step @p769 :rule cnf_and_pos :args (@t465 0)) % 0.39/0.93 (step @p770 :rule reordering :premises (@p769) :args ((or @t464 @t468))) % 0.39/0.93 (step @p771 :rule chain_m_resolution :premises (@p770 @p750) :args (@t464 @t455 @t469)) % 0.39/0.93 (step @p772 :rule cnf_and_pos :args (@t452 0)) % 0.39/0.93 (step @p773 :rule reordering :premises (@p772) :args ((or @t451 @t454))) % 0.39/0.93 (step @p774 :rule chain_m_resolution :premises (@p773 @p744) :args (@t451 @t455 @t456)) % 0.39/0.93 (step @p775 :rule cnf_or_neg :args (@t359 25)) % 0.39/0.93 (step @p776 :rule chain_m_resolution :premises (@p775 @p341) :args ((not @t310) @t360 @t361)) % 0.39/0.93 (step @p777 :rule bool-double-not-elim :args (@t324)) % 0.39/0.93 (step @p778 :rule nary_cong :premises (@p343 @p777) :args ((or @t359 (not @t325)))) % 0.39/0.94 (step @p779 :rule cnf_or_neg :args (@t359 18)) % 0.39/0.94 (step @p780 :rule eq_resolve :premises (@p779 @p778)) % 0.39/0.94 (step @p781 :rule reordering :premises (@p780) :args ((or @t324 @t359))) % 0.39/0.94 (step @p782 :rule chain_m_resolution :premises (@p781 @p341) :args (@t324 @t360 @t361)) % 0.39/0.94 (step @p783 :rule cnf_or_pos :args (@t478)) % 0.39/0.94 (step @p784 :rule reordering :premises (@p783) :args ((or @t358 @t357 @t355 @t353 @t351 @t349 @t345 @t343 @t341 @t336 @t334 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t310 @t473 @t466 @t463 @t477 @t476 @t475 @t474 @t472 @t471 @t470 (not @t478)))) % 0.39/0.94 (step @p785 :rule chain_m_resolution :premises (@p784 @p468 @p466 @p460 @p454 @p448 @p442 @p430 @p424 @p418 @p404 @p398 @p396 @p390 @p384 @p378 @p782 @p372 @p366 @p776 @p774 @p747 @p771 @p768 @p765 @p762 @p759 @p756 @p753 @p609) :args (@t470 (@list true false false false false false false false false false true false false false false false false false true false false true false false false false false false false) (@list @t358 @t356 @t354 @t352 @t350 @t348 @t344 @t342 @t340 @t335 @t334 @t332 @t330 @t328 @t326 @t324 @t322 @t320 @t310 @t451 @t450 @t463 @t462 @t461 @t460 @t459 @t458 @t457 @t478))) % 0.39/0.94 (step @p786 :rule false_intro :premises (@p785)) % 0.39/0.94 (step @p787 :rule symm :premises (@p786)) % 0.39/0.94 (step @p788 :rule trans :premises (@p787 @p481 @p472)) % 0.39/0.94 (step @p789 false :rule eq_resolve :premises (@p788 @p64)) % 0.39/0.94 ) % 0.39/0.94 % SZS output end Proof % 0.39/0.94 % cvc5 exiting %------------------------------------------------------------------------------