%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP645+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 : n010.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 08:21:09 AM UTC 2026 % Result : Theorem 0.36s 0.71s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : GRP645+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 % 0.18/0.35 % Computer : n010.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 01:35:25 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.71 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.71 % SZS status Theorem % 0.36/0.71 % SZS output start Proof % 0.36/0.71 ( % 0.36/0.71 (declare-sort $$unsorted 0) % 0.36/0.71 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.36/0.71 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.k1_group_3 (-> $$unsorted $$unsorted)) % 0.36/0.71 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.36/0.71 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.71 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.k1_latsubgr (-> $$unsorted $$unsorted)) % 0.36/0.71 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.k9_group_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.71 (declare-const tptp.m1_group_2 (-> $$unsorted $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.v1_group_1 (-> $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.k3_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.71 (declare-const tptp.g1_group_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.71 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.l1_group_1 (-> $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.71 (declare-const tptp.u1_group_1 (-> $$unsorted $$unsorted)) % 0.36/0.71 (declare-const tptp.k8_group_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.71 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.v4_group_1 (-> $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.36/0.71 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.71 (declare-const tptp.v3_group_1 (-> $$unsorted Bool)) % 0.36/0.71 (define @t1 () (@var "C" $$unsorted)) % 0.36/0.71 (define @t2 () (@var "A" $$unsorted)) % 0.36/0.71 (define @t3 () (tptp.k1_latsubgr @t2)) % 0.36/0.71 (define @t4 () (@var "B" $$unsorted)) % 0.36/0.71 (define @t5 () (tptp.k1_funct_1 @t3 @t4)) % 0.36/0.71 (define @t6 () (tptp.k3_xboole_0 @t5 (tptp.k1_funct_1 @t3 @t1))) % 0.36/0.71 (define @t7 () (tptp.k9_group_2 @t2 @t4 @t1)) % 0.36/0.71 (define @t8 () (= (tptp.k1_funct_1 @t3 @t7) @t6)) % 0.36/0.71 (define @t9 () (tptp.m1_group_2 @t1 @t2)) % 0.36/0.71 (define @t10 () (tptp.v1_group_1 @t1)) % 0.36/0.71 (define @t11 () (and @t10 @t9)) % 0.36/0.71 (define @t12 () (@list @t1)) % 0.36/0.71 (define @t13 () (forall @t12 (=> @t11 @t8))) % 0.36/0.71 (define @t14 () (tptp.m1_group_2 @t4 @t2)) % 0.36/0.71 (define @t15 () (tptp.v1_group_1 @t4)) % 0.36/0.71 (define @t16 () (and @t15 @t14)) % 0.36/0.71 (define @t17 () (=> @t16 @t13)) % 0.36/0.71 (define @t18 () (@list @t4)) % 0.36/0.71 (define @t19 () (forall @t18 @t17)) % 0.36/0.71 (define @t20 () (tptp.l1_group_1 @t2)) % 0.36/0.71 (define @t21 () (tptp.v4_group_1 @t2)) % 0.36/0.71 (define @t22 () (tptp.v3_group_1 @t2)) % 0.36/0.71 (define @t23 () (tptp.v3_struct_0 @t2)) % 0.36/0.71 (define @t24 () (not @t23)) % 0.36/0.71 (define @t25 () (and @t24 @t22 @t21 @t20)) % 0.36/0.71 (define @t26 () (=> @t25 @t19)) % 0.36/0.71 (define @t27 () (@list @t2)) % 0.36/0.71 (define @t28 () (forall @t27 @t26)) % 0.36/0.71 (define @t29 () (not @t28)) % 0.36/0.71 (define @t30 () (tptp.u1_group_1 @t2)) % 0.36/0.71 (define @t31 () (tptp.u1_struct_0 @t2)) % 0.36/0.71 (define @t32 () (tptp.r2_hidden @t2 @t4)) % 0.36/0.71 (define @t33 () (@list @t2 @t4)) % 0.36/0.71 (define @t34 () (tptp.v1_funct_2 @t1 @t2 @t4)) % 0.36/0.71 (define @t35 () (tptp.v1_funct_1 @t1)) % 0.36/0.71 (define @t36 () (and @t35 @t34)) % 0.36/0.71 (define @t37 () (tptp.v1_partfun1 @t1 @t2 @t4)) % 0.36/0.71 (define @t38 () (tptp.m1_relset_1 @t1 @t2 @t4)) % 0.36/0.71 (define @t39 () (@list @t2 @t4 @t1)) % 0.36/0.71 (define @t40 () (tptp.v1_relat_1 @t1)) % 0.36/0.71 (define @t41 () (tptp.k2_zfmisc_1 @t2 @t4)) % 0.36/0.71 (define @t42 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t41))) % 0.36/0.71 (define @t43 () (tptp.v1_xboole_0 @t4)) % 0.36/0.71 (define @t44 () (not @t43)) % 0.36/0.71 (define @t45 () (tptp.v1_xboole_0 @t1)) % 0.36/0.71 (define @t46 () (tptp.v1_xboole_0 @t2)) % 0.36/0.71 (define @t47 () (not @t46)) % 0.36/0.71 (define @t48 () (and @t47 @t44)) % 0.36/0.71 (define @t49 () (and @t24 @t22 @t21 @t20 @t14 @t9)) % 0.36/0.71 (define @t50 () (tptp.u1_struct_0 @t1)) % 0.36/0.71 (define @t51 () (= (tptp.k1_funct_1 @t4 @t1) @t50)) % 0.36/0.71 (define @t52 () (forall @t12 (=> @t11 @t51))) % 0.36/0.71 (define @t53 () (= @t4 @t3)) % 0.36/0.71 (define @t54 () (= @t53 @t52)) % 0.36/0.71 (define @t55 () (tptp.k1_zfmisc_1 @t31)) % 0.36/0.71 (define @t56 () (tptp.k1_group_3 @t2)) % 0.36/0.71 (define @t57 () (tptp.m2_relset_1 @t4 @t56 @t55)) % 0.36/0.71 (define @t58 () (tptp.v1_funct_2 @t4 @t56 @t55)) % 0.36/0.71 (define @t59 () (tptp.v1_funct_1 @t4)) % 0.36/0.71 (define @t60 () (and @t59 @t58 @t57)) % 0.36/0.71 (define @t61 () (=> @t60 @t54)) % 0.36/0.71 (define @t62 () (forall @t18 @t61)) % 0.36/0.71 (define @t63 () (=> @t25 @t62)) % 0.36/0.71 (define @t64 () (forall @t27 @t63)) % 0.36/0.71 (define @t65 () (tptp.g1_group_1 @t2 @t4)) % 0.36/0.71 (define @t66 () (tptp.k2_zfmisc_1 @t2 @t2)) % 0.36/0.71 (define @t67 () (and @t59 (tptp.v1_funct_2 @t4 @t66 @t2) (tptp.m1_relset_1 @t4 @t66 @t2))) % 0.36/0.71 (define @t68 () (and (tptp.v1_funct_1 @t3) (tptp.v1_funct_2 @t3 @t56 @t55) (tptp.m2_relset_1 @t3 @t56 @t55))) % 0.36/0.71 (define @t69 () (forall @t27 (=> @t25 @t68))) % 0.36/0.71 (define @t70 () (tptp.k8_group_2 @t2 @t4 @t1)) % 0.36/0.71 (define @t71 () (and (tptp.v1_group_1 @t7) (tptp.m1_group_2 @t7 @t2))) % 0.36/0.71 (define @t72 () (forall @t39 (=> @t49 @t71))) % 0.36/0.71 (define @t73 () (tptp.l1_struct_0 @t2)) % 0.36/0.71 (define @t74 () (and @t24 @t22 @t20)) % 0.36/0.71 (define @t75 () (tptp.m2_relset_1 @t1 @t2 @t4)) % 0.36/0.71 (define @t76 () (tptp.k2_zfmisc_1 @t31 @t31)) % 0.36/0.71 (define @t77 () (and @t24 @t73)) % 0.36/0.71 (define @t78 () (tptp.k1_zfmisc_1 @t2)) % 0.36/0.71 (define @t79 () (@var "D" $$unsorted)) % 0.36/0.71 (define @t80 () (tptp.m1_subset_1 @t4 @t78)) % 0.36/0.71 (define @t81 () (tptp.m1_subset_1 @t2 @t4)) % 0.36/0.71 (define @t82 () (tptp.u1_struct_0 @t7)) % 0.36/0.71 (define @t83 () (=> @t11 (= @t82 @t6))) % 0.36/0.71 (define @t84 () (forall @t12 @t83)) % 0.36/0.71 (define @t85 () (=> @t16 @t84)) % 0.36/0.71 (define @t86 () (forall @t18 @t85)) % 0.36/0.71 (define @t87 () (=> @t25 @t86)) % 0.36/0.71 (define @t88 () (forall @t27 @t87)) % 0.36/0.71 (define @t89 () (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t1))) % 0.36/0.71 (define @t90 () (@var "BOUND_VARIABLE_8130" $$unsorted)) % 0.36/0.71 (define @t91 () (@var "BOUND_VARIABLE_8128" $$unsorted)) % 0.36/0.71 (define @t92 () (= (tptp.k3_xboole_0 (tptp.k1_funct_1 @t3 @t91) (tptp.k1_funct_1 @t3 @t90)) (tptp.u1_struct_0 (tptp.k9_group_2 @t2 @t91 @t90)))) % 0.36/0.71 (define @t93 () (not (tptp.m1_group_2 @t90 @t2))) % 0.36/0.71 (define @t94 () (not (tptp.v1_group_1 @t90))) % 0.36/0.71 (define @t95 () (not (tptp.m1_group_2 @t91 @t2))) % 0.36/0.71 (define @t96 () (not (tptp.v1_group_1 @t91))) % 0.36/0.71 (define @t97 () (not @t20)) % 0.36/0.71 (define @t98 () (not @t21)) % 0.36/0.71 (define @t99 () (not @t22)) % 0.36/0.71 (define @t100 () (or @t96 @t95 @t94 @t93 @t92)) % 0.36/0.71 (define @t101 () (or @t23 @t99 @t98 @t97 @t100)) % 0.36/0.71 (define @t102 () (forall (@list @t2 @t91 @t90) @t101)) % 0.36/0.71 (define @t103 () (@list @t91 @t90)) % 0.36/0.71 (define @t104 () (forall @t103 @t101)) % 0.36/0.71 (define @t105 () (forall @t103 @t100)) % 0.36/0.71 (define @t106 () (@var "BOUND_VARIABLE_8107" $$unsorted)) % 0.36/0.71 (define @t107 () (or @t23 @t99 @t98 @t97 @t105)) % 0.36/0.71 (define @t108 () (= (tptp.k3_xboole_0 @t5 (tptp.k1_funct_1 @t3 @t106)) (tptp.u1_struct_0 (tptp.k9_group_2 @t2 @t4 @t106)))) % 0.36/0.71 (define @t109 () (not (tptp.m1_group_2 @t106 @t2))) % 0.36/0.71 (define @t110 () (not (tptp.v1_group_1 @t106))) % 0.36/0.71 (define @t111 () (not @t14)) % 0.36/0.71 (define @t112 () (not @t15)) % 0.36/0.71 (define @t113 () (or @t112 @t111 @t110 @t109 @t108)) % 0.36/0.71 (define @t114 () (@list @t4 @t106)) % 0.36/0.71 (define @t115 () (forall @t114 @t113)) % 0.36/0.71 (define @t116 () (or @t23 @t99 @t98 @t97 @t115)) % 0.36/0.71 (define @t117 () (or @t23 @t99 @t98 @t97)) % 0.36/0.71 (define @t118 () (not @t24)) % 0.36/0.71 (define @t119 () (or @t118 @t99 @t98 @t97)) % 0.36/0.71 (define @t120 () (not @t25)) % 0.36/0.71 (define @t121 () (or @t110 @t109 @t108)) % 0.36/0.71 (define @t122 () (or @t112 @t111 @t121)) % 0.36/0.71 (define @t123 () (forall @t114 @t122)) % 0.36/0.71 (define @t124 () (@list @t106)) % 0.36/0.71 (define @t125 () (forall @t124 @t122)) % 0.36/0.71 (define @t126 () (forall @t124 @t121)) % 0.36/0.71 (define @t127 () (@list @t1)) % 0.36/0.71 (define @t128 () (or @t112 @t111 @t126)) % 0.36/0.71 (define @t129 () (= @t6 @t82)) % 0.36/0.71 (define @t130 () (not @t9)) % 0.36/0.71 (define @t131 () (not @t10)) % 0.36/0.71 (define @t132 () (or @t131 @t130 @t129)) % 0.36/0.71 (define @t133 () (forall @t12 @t132)) % 0.36/0.71 (define @t134 () (or @t112 @t111 @t133)) % 0.36/0.71 (define @t135 () (or @t112 @t111)) % 0.36/0.71 (define @t136 () (not @t16)) % 0.36/0.71 (define @t137 () (or @t131 @t130)) % 0.36/0.71 (define @t138 () (not @t11)) % 0.36/0.71 (define @t139 () (@var "BOUND_VARIABLE_7757" $$unsorted)) % 0.36/0.71 (define @t140 () (@var "BOUND_VARIABLE_7755" $$unsorted)) % 0.36/0.71 (define @t141 () (= (tptp.k1_funct_1 @t3 (tptp.k9_group_2 @t2 @t140 @t139)) (tptp.k3_xboole_0 (tptp.k1_funct_1 @t3 @t140) (tptp.k1_funct_1 @t3 @t139)))) % 0.36/0.71 (define @t142 () (not (tptp.m1_group_2 @t139 @t2))) % 0.36/0.71 (define @t143 () (not (tptp.v1_group_1 @t139))) % 0.36/0.71 (define @t144 () (not (tptp.m1_group_2 @t140 @t2))) % 0.36/0.71 (define @t145 () (not (tptp.v1_group_1 @t140))) % 0.36/0.71 (define @t146 () (or @t23 @t99 @t98 @t97 @t145 @t144 @t143 @t142 @t141)) % 0.36/0.71 (define @t147 () (@list @t2 @t140 @t139)) % 0.36/0.71 (define @t148 () (forall @t147 @t146)) % 0.36/0.71 (define @t149 () (@quantifiers_skolemize @t148 2)) % 0.36/0.71 (define @t150 () (@quantifiers_skolemize @t148 1)) % 0.36/0.71 (define @t151 () (@quantifiers_skolemize @t148 0)) % 0.36/0.71 (define @t152 () (@list @t151 @t150 @t149)) % 0.36/0.71 (define @t153 () (or @t145 @t144 @t143 @t142 @t141)) % 0.36/0.71 (define @t154 () (or @t23 @t99 @t98 @t97 @t153)) % 0.36/0.71 (define @t155 () (forall @t147 @t154)) % 0.36/0.71 (define @t156 () (@list @t140 @t139)) % 0.36/0.71 (define @t157 () (forall @t156 @t154)) % 0.36/0.71 (define @t158 () (forall @t156 @t153)) % 0.36/0.71 (define @t159 () (@var "BOUND_VARIABLE_7729" $$unsorted)) % 0.36/0.71 (define @t160 () (or @t23 @t99 @t98 @t97 @t158)) % 0.36/0.71 (define @t161 () (= (tptp.k1_funct_1 @t3 (tptp.k9_group_2 @t2 @t4 @t159)) (tptp.k3_xboole_0 @t5 (tptp.k1_funct_1 @t3 @t159)))) % 0.36/0.71 (define @t162 () (not (tptp.m1_group_2 @t159 @t2))) % 0.36/0.71 (define @t163 () (not (tptp.v1_group_1 @t159))) % 0.36/0.71 (define @t164 () (or @t112 @t111 @t163 @t162 @t161)) % 0.36/0.71 (define @t165 () (@list @t4 @t159)) % 0.36/0.71 (define @t166 () (forall @t165 @t164)) % 0.36/0.71 (define @t167 () (or @t23 @t99 @t98 @t97 @t166)) % 0.36/0.71 (define @t168 () (or @t163 @t162 @t161)) % 0.36/0.71 (define @t169 () (or @t112 @t111 @t168)) % 0.36/0.71 (define @t170 () (forall @t165 @t169)) % 0.36/0.71 (define @t171 () (@list @t159)) % 0.36/0.71 (define @t172 () (forall @t171 @t169)) % 0.36/0.71 (define @t173 () (forall @t171 @t168)) % 0.36/0.71 (define @t174 () (or @t112 @t111 @t173)) % 0.36/0.71 (define @t175 () (or @t131 @t130 @t8)) % 0.36/0.71 (define @t176 () (forall @t12 @t175)) % 0.36/0.71 (define @t177 () (or @t112 @t111 @t176)) % 0.36/0.71 (define @t178 () (tptp.m1_group_2 @t149 @t151)) % 0.36/0.71 (define @t179 () (tptp.k1_latsubgr @t151)) % 0.36/0.71 (define @t180 () (tptp.k3_xboole_0 (tptp.k1_funct_1 @t179 @t150) (tptp.k1_funct_1 @t179 @t149))) % 0.36/0.71 (define @t181 () (tptp.k9_group_2 @t151 @t150 @t149)) % 0.36/0.71 (define @t182 () (tptp.k1_funct_1 @t179 @t181)) % 0.36/0.71 (define @t183 () (= @t182 @t180)) % 0.36/0.71 (define @t184 () (not @t178)) % 0.36/0.71 (define @t185 () (tptp.v1_group_1 @t149)) % 0.36/0.71 (define @t186 () (not @t185)) % 0.36/0.71 (define @t187 () (tptp.m1_group_2 @t150 @t151)) % 0.36/0.71 (define @t188 () (not @t187)) % 0.36/0.71 (define @t189 () (tptp.v1_group_1 @t150)) % 0.36/0.71 (define @t190 () (not @t189)) % 0.36/0.71 (define @t191 () (tptp.l1_group_1 @t151)) % 0.36/0.71 (define @t192 () (not @t191)) % 0.36/0.71 (define @t193 () (tptp.v4_group_1 @t151)) % 0.36/0.71 (define @t194 () (not @t193)) % 0.36/0.71 (define @t195 () (tptp.v3_group_1 @t151)) % 0.36/0.71 (define @t196 () (not @t195)) % 0.36/0.71 (define @t197 () (tptp.v3_struct_0 @t151)) % 0.36/0.71 (define @t198 () (or @t197 @t196 @t194 @t192 @t190 @t188 @t186 @t184 @t183)) % 0.36/0.71 (define @t199 () (@list true)) % 0.36/0.71 (define @t200 () (@list @t198)) % 0.36/0.71 (define @t201 () (tptp.u1_struct_0 @t181)) % 0.36/0.71 (define @t202 () (= @t180 @t201)) % 0.36/0.71 (define @t203 () (or @t197 @t196 @t194 @t192 @t190 @t188 @t186 @t184 @t202)) % 0.36/0.71 (define @t204 () (@var "BOUND_VARIABLE_7879" $$unsorted)) % 0.36/0.71 (define @t205 () (tptp.k1_funct_1 @t204 @t1)) % 0.36/0.71 (define @t206 () (or @t131 @t130 (= @t205 @t50))) % 0.36/0.71 (define @t207 () (forall @t12 @t206)) % 0.36/0.71 (define @t208 () (= (= @t204 @t3) @t207)) % 0.36/0.71 (define @t209 () (not (tptp.m2_relset_1 @t204 @t56 @t55))) % 0.36/0.71 (define @t210 () (not (tptp.v1_funct_2 @t204 @t56 @t55))) % 0.36/0.71 (define @t211 () (not (tptp.v1_funct_1 @t204))) % 0.36/0.71 (define @t212 () (or @t23 @t99 @t98 @t97 @t211 @t210 @t209 @t208)) % 0.36/0.71 (define @t213 () (or @t211 @t210 @t209 @t208)) % 0.36/0.71 (define @t214 () (or @t23 @t99 @t98 @t97 @t213)) % 0.36/0.71 (define @t215 () (@list @t2 @t204)) % 0.36/0.71 (define @t216 () (forall @t215 @t214)) % 0.36/0.71 (define @t217 () (@list @t204)) % 0.36/0.71 (define @t218 () (forall @t217 @t214)) % 0.36/0.71 (define @t219 () (forall @t217 @t213)) % 0.36/0.71 (define @t220 () (or @t23 @t99 @t98 @t97 @t219)) % 0.36/0.71 (define @t221 () (or @t131 @t130 @t51)) % 0.36/0.71 (define @t222 () (= @t53 (forall @t12 @t221))) % 0.36/0.71 (define @t223 () (not @t57)) % 0.36/0.71 (define @t224 () (not @t58)) % 0.36/0.71 (define @t225 () (not @t59)) % 0.36/0.71 (define @t226 () (or @t225 @t224 @t223 @t222)) % 0.36/0.71 (define @t227 () (forall @t18 @t226)) % 0.36/0.71 (define @t228 () (or @t23 @t99 @t98 @t97 @t227)) % 0.36/0.71 (define @t229 () (or @t225 @t224 @t223)) % 0.36/0.71 (define @t230 () (forall @t12 (or @t131 (not (tptp.m1_group_2 @t1 @t151)) (= @t50 (tptp.k1_funct_1 @t179 @t1))))) % 0.36/0.71 (define @t231 () (= (= @t179 @t179) @t230)) % 0.36/0.71 (define @t232 () (tptp.k1_zfmisc_1 (tptp.u1_struct_0 @t151))) % 0.36/0.71 (define @t233 () (tptp.k1_group_3 @t151)) % 0.36/0.71 (define @t234 () (tptp.m2_relset_1 @t179 @t233 @t232)) % 0.36/0.71 (define @t235 () (not @t234)) % 0.36/0.71 (define @t236 () (tptp.v1_funct_2 @t179 @t233 @t232)) % 0.36/0.71 (define @t237 () (not @t236)) % 0.36/0.71 (define @t238 () (tptp.v1_funct_1 @t179)) % 0.36/0.71 (define @t239 () (not @t238)) % 0.36/0.71 (define @t240 () (or @t197 @t196 @t194 @t192 @t239 @t237 @t235 @t231)) % 0.36/0.71 (define @t241 () (forall @t215 (or @t23 @t99 @t98 @t97 @t211 @t210 @t209 (= (= @t3 @t204) (forall @t12 (or @t131 @t130 (= @t50 @t205))))))) % 0.36/0.71 (define @t242 () (or @t197 @t196 @t194 @t192 @t239 @t237 @t235 @t230)) % 0.36/0.71 (define @t243 () (@list false)) % 0.36/0.71 (define @t244 () (and @t238 @t236 @t234)) % 0.36/0.71 (define @t245 () (or @t197 @t196 @t194 @t192 @t244)) % 0.36/0.71 (define @t246 () (not @t244)) % 0.36/0.71 (define @t247 () (@list @t244)) % 0.36/0.71 (define @t248 () (tptp.m1_group_2 @t181 @t151)) % 0.36/0.71 (define @t249 () (not @t248)) % 0.36/0.71 (define @t250 () (tptp.v1_group_1 @t181)) % 0.36/0.71 (define @t251 () (not @t250)) % 0.36/0.71 (define @t252 () (or @t251 @t249 (= @t201 @t182))) % 0.36/0.71 (define @t253 () (= @t182 @t201)) % 0.36/0.71 (define @t254 () (or @t251 @t249 @t253)) % 0.36/0.71 (define @t255 () (or @t118 @t99 @t98 @t97 @t111 @t130)) % 0.36/0.71 (define @t256 () (and @t250 @t248)) % 0.36/0.71 (define @t257 () (or @t197 @t196 @t194 @t192 @t188 @t184 @t256)) % 0.36/0.71 (define @t258 () (not @t256)) % 0.36/0.71 (define @t259 () (@list @t256)) % 0.36/0.71 (assume @p1 @t29) % 0.36/0.71 (assume @p2 (forall @t27 (=> @t20 (=> (tptp.v1_group_1 @t2) (= @t2 (tptp.g1_group_1 @t31 @t30)))))) % 0.36/0.71 (assume @p3 (forall @t33 (=> @t32 (not (tptp.r2_hidden @t4 @t2))))) % 0.36/0.71 (assume @p4 (forall @t39 (=> @t38 (=> (and @t35 @t37) @t36)))) % 0.36/0.71 (assume @p5 (forall @t39 (=> @t42 @t40))) % 0.36/0.71 (assume @p6 (forall @t33 (=> @t44 (forall @t12 (=> @t38 (=> @t36 (and @t35 @t37 @t34))))))) % 0.36/0.71 (assume @p7 (forall @t33 (=> @t48 (forall @t12 (=> @t38 (=> @t36 (and @t35 (not @t45) @t37 @t34))))))) % 0.36/0.71 (assume @p8 (forall @t33 (= (tptp.k3_xboole_0 @t2 @t4) (tptp.k3_xboole_0 @t4 @t2)))) % 0.36/0.71 (assume @p9 (forall @t39 (=> @t49 (= @t7 (tptp.k9_group_2 @t2 @t1 @t4))))) % 0.36/0.71 (assume @p10 @t64) % 0.36/0.71 (assume @p11 (forall @t33 (=> @t67 (and (tptp.v1_group_1 @t65) (tptp.l1_group_1 @t65))))) % 0.36/0.71 (assume @p12 true) % 0.36/0.71 (assume @p13 @t69) % 0.36/0.71 (assume @p14 (forall @t39 (=> @t49 (and (tptp.v1_group_1 @t70) (tptp.m1_group_2 @t70 @t2))))) % 0.36/0.71 (assume @p15 @t72) % 0.36/0.71 (assume @p16 (forall @t27 (=> @t20 @t73))) % 0.36/0.71 (assume @p17 (forall @t27 (=> @t74 (forall @t18 (=> @t14 (and (not (tptp.v3_struct_0 @t4)) (tptp.v3_group_1 @t4) (tptp.l1_group_1 @t4))))))) % 0.36/0.71 (assume @p18 (forall @t39 (=> @t75 @t42))) % 0.36/0.71 (assume @p19 (forall @t27 (=> @t20 (and (tptp.v1_funct_1 @t30) (tptp.v1_funct_2 @t30 @t76 @t31) (tptp.m2_relset_1 @t30 @t76 @t31))))) % 0.36/0.71 (assume @p20 (exists @t27 @t20)) % 0.36/0.71 (assume @p21 (exists @t27 @t73)) % 0.36/0.71 (assume @p22 (forall @t27 (=> @t74 (exists @t18 @t14)))) % 0.36/0.71 (assume @p23 (forall @t33 (exists @t12 @t38))) % 0.36/0.71 (assume @p24 (forall @t27 (exists @t18 (tptp.m1_subset_1 @t4 @t2)))) % 0.36/0.71 (assume @p25 (forall @t33 (exists @t12 @t75))) % 0.36/0.71 (assume @p26 (forall @t27 (=> @t25 (not (tptp.v1_xboole_0 @t56))))) % 0.36/0.71 (assume @p27 (forall @t27 (=> @t77 (not (tptp.v1_xboole_0 @t31))))) % 0.36/0.71 (assume @p28 (forall @t27 (not (tptp.v1_xboole_0 @t78)))) % 0.36/0.71 (assume @p29 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.36/0.71 (assume @p30 (forall @t33 (=> @t48 (not (tptp.v1_xboole_0 @t41))))) % 0.36/0.71 (assume @p31 (forall @t33 (=> @t67 (forall (@list @t1 @t79) (=> (= @t65 (tptp.g1_group_1 @t1 @t79)) (and (= @t2 @t1) (= @t4 @t79))))))) % 0.36/0.71 (assume @p32 (forall @t33 (= (tptp.k3_xboole_0 @t2 @t2) @t2))) % 0.36/0.71 (assume @p33 (forall @t33 (exists @t12 (and @t38 @t40 @t35 @t34)))) % 0.36/0.71 (assume @p34 (forall @t27 (=> @t47 (exists @t18 (and @t80 @t44))))) % 0.36/0.71 (assume @p35 (exists @t27 @t46)) % 0.36/0.71 (assume @p36 (forall @t33 (exists @t12 (and @t38 @t40 @t35)))) % 0.36/0.71 (assume @p37 (forall @t27 (exists @t18 (and @t80 @t43)))) % 0.36/0.71 (assume @p38 (exists @t27 @t47)) % 0.36/0.71 (assume @p39 (exists @t27 (and @t73 @t24))) % 0.36/0.71 (assume @p40 (forall @t27 (=> @t77 (exists @t18 (and (tptp.m1_subset_1 @t4 @t55) @t44))))) % 0.36/0.71 (assume @p41 (forall @t39 (=> @t49 (= @t7 @t70)))) % 0.36/0.71 (assume @p42 (forall @t39 (= @t75 @t38))) % 0.36/0.71 (assume @p43 (forall @t33 (tptp.r1_tarski @t2 @t2))) % 0.36/0.71 (assume @p44 (forall @t33 (=> @t32 @t81))) % 0.36/0.71 (assume @p45 @t88) % 0.36/0.71 (assume @p46 (forall @t27 (= (tptp.k3_xboole_0 @t2 tptp.k1_xboole_0) tptp.k1_xboole_0))) % 0.36/0.71 (assume @p47 (forall @t33 (=> @t81 (or @t43 @t32)))) % 0.36/0.71 (assume @p48 (forall @t33 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t4)) (tptp.r1_tarski @t2 @t4)))) % 0.36/0.71 (assume @p49 (forall @t39 (=> (and @t32 @t89) (tptp.m1_subset_1 @t2 @t1)))) % 0.36/0.71 (assume @p50 (forall @t39 (not (and @t32 @t89 @t45)))) % 0.36/0.71 (assume @p51 (forall @t27 (=> @t46 (= @t2 tptp.k1_xboole_0)))) % 0.36/0.71 (assume @p52 (forall @t33 (not (and @t32 @t43)))) % 0.36/0.71 (assume @p53 (forall @t33 (not (and @t46 (not (= @t2 @t4)) @t43)))) % 0.36/0.71 (step @p54 :rule evaluate :args ((= false true))) % 0.36/0.71 (step @p55 :rule aci_norm :args ((= @t101 (or @t23 @t99 @t98 @t97 @t96 @t95 @t94 @t93 @t92)))) % 0.36/0.71 (step @p56 :rule cong :premises (@p55) :args (@t102)) % 0.36/0.71 (step @p57 :rule quant-merge-prenex :args ((= (forall @t27 @t104) @t102))) % 0.36/0.71 (step @p58 :rule alpha_equiv :args (@t105 (@list @t91 @t90) (@list @t4 @t106))) % 0.36/0.71 (step @p59 :rule refl :args (@t97)) % 0.36/0.71 (step @p60 :rule refl :args (@t98)) % 0.36/0.71 (step @p61 :rule refl :args (@t99)) % 0.36/0.71 (step @p62 :rule refl :args (@t23)) % 0.36/0.71 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60 @p59 @p58) :args (@t107)) % 0.36/0.71 (step @p64 :rule quant-miniscope-or :args ((= @t104 @t107))) % 0.36/0.71 (step @p65 :rule trans :premises (@p64 @p63)) % 0.36/0.71 (step @p66 :rule symm :premises (@p65)) % 0.36/0.71 (step @p67 :rule cong :premises (@p66) :args ((forall @t27 @t116))) % 0.36/0.71 (step @p68 :rule trans :premises (@p67 @p57)) % 0.36/0.71 (step @p69 :rule trans :premises (@p68 @p56)) % 0.36/0.71 (step @p70 :rule aci_norm :args ((= (or @t117 @t115) @t116))) % 0.36/0.71 (step @p71 :rule refl :args (@t115)) % 0.36/0.71 (step @p72 :rule bool-double-not-elim :args (@t23)) % 0.36/0.71 (step @p73 :rule nary_cong :premises (@p72 @p61 @p60 @p59) :args (@t119)) % 0.36/0.71 (step @p74 :rule aci_norm :args ((= (or @t118 (or @t99 (or @t98 @t97))) @t119))) % 0.36/0.71 (step @p75 :rule trans :premises (@p74 @p73)) % 0.36/0.71 (step @p76 :rule bool-and-de-morgan :args (@t21 @t20 true)) % 0.36/0.71 (step @p77 :rule nary_cong :premises (@p61 @p76) :args ((or @t99 (not (and @t21 @t20))))) % 0.36/0.71 (step @p78 :rule bool-and-de-morgan :args (@t22 @t21 (and @t20))) % 0.36/0.71 (step @p79 :rule trans :premises (@p78 @p77)) % 0.36/0.71 (step @p80 :rule refl :args (@t118)) % 0.36/0.71 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or @t118 (not (and @t22 @t21 @t20))))) % 0.36/0.71 (step @p82 :rule bool-and-de-morgan :args (@t24 @t22 (and @t21 @t20))) % 0.36/0.71 (step @p83 :rule trans :premises (@p82 @p81)) % 0.36/0.71 (step @p84 :rule trans :premises (@p83 @p75)) % 0.36/0.71 (step @p85 :rule nary_cong :premises (@p84 @p71) :args ((or @t120 @t115))) % 0.36/0.71 (step @p86 :rule trans :premises (@p85 @p70)) % 0.36/0.71 (step @p87 :rule bool-impl-elim :args (@t25 @t115)) % 0.36/0.71 (step @p88 :rule trans :premises (@p87 @p86)) % 0.36/0.71 (step @p89 :rule cong :premises (@p88) :args ((forall @t27 (=> @t25 @t115)))) % 0.36/0.71 (step @p90 :rule trans :premises (@p89 @p69)) % 0.36/0.71 (step @p91 :rule aci_norm :args ((= @t122 @t113))) % 0.36/0.71 (step @p92 :rule cong :premises (@p91) :args (@t123)) % 0.36/0.71 (step @p93 :rule quant-merge-prenex :args ((= (forall @t18 @t125) @t123))) % 0.36/0.71 (step @p94 :rule alpha_equiv :args (@t126 (@list @t106) @t127)) % 0.36/0.71 (step @p95 :rule refl :args (@t111)) % 0.36/0.71 (step @p96 :rule refl :args (@t112)) % 0.36/0.71 (step @p97 :rule nary_cong :premises (@p96 @p95 @p94) :args (@t128)) % 0.36/0.71 (step @p98 :rule quant-miniscope-or :args ((= @t125 @t128))) % 0.36/0.71 (step @p99 :rule trans :premises (@p98 @p97)) % 0.36/0.71 (step @p100 :rule symm :premises (@p99)) % 0.36/0.71 (step @p101 :rule cong :premises (@p100) :args ((forall @t18 @t134))) % 0.36/0.71 (step @p102 :rule trans :premises (@p101 @p93)) % 0.36/0.71 (step @p103 :rule trans :premises (@p102 @p92)) % 0.36/0.71 (step @p104 :rule aci_norm :args ((= (or @t135 @t133) @t134))) % 0.36/0.71 (step @p105 :rule refl :args (@t133)) % 0.36/0.71 (step @p106 :rule bool-and-de-morgan :args (@t15 @t14 true)) % 0.36/0.71 (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or @t136 @t133))) % 0.36/0.71 (step @p108 :rule trans :premises (@p107 @p104)) % 0.36/0.71 (step @p109 :rule bool-impl-elim :args (@t16 @t133)) % 0.36/0.71 (step @p110 :rule trans :premises (@p109 @p108)) % 0.36/0.71 (step @p111 :rule cong :premises (@p110) :args ((forall @t18 (=> @t16 @t133)))) % 0.36/0.71 (step @p112 :rule trans :premises (@p111 @p103)) % 0.36/0.71 (step @p113 :rule aci_norm :args ((= (or @t137 @t129) @t132))) % 0.36/0.71 (step @p114 :rule refl :args (@t129)) % 0.36/0.71 (step @p115 :rule bool-and-de-morgan :args (@t10 @t9 true)) % 0.36/0.71 (step @p116 :rule nary_cong :premises (@p115 @p114) :args ((or @t138 @t129))) % 0.36/0.71 (step @p117 :rule trans :premises (@p116 @p113)) % 0.36/0.71 (step @p118 :rule bool-impl-elim :args (@t11 @t129)) % 0.36/0.71 (step @p119 :rule trans :premises (@p118 @p117)) % 0.36/0.71 (step @p120 :rule cong :premises (@p119) :args ((forall @t12 (=> @t11 @t129)))) % 0.36/0.71 (step @p121 :rule eq-symm :args (@t82 @t6)) % 0.36/0.71 (step @p122 :rule refl :args (@t11)) % 0.36/0.71 (step @p123 :rule cong :premises (@p122 @p121) :args (@t83)) % 0.36/0.71 (step @p124 :rule cong :premises (@p123) :args (@t84)) % 0.36/0.71 (step @p125 :rule trans :premises (@p124 @p120)) % 0.36/0.71 (step @p126 :rule refl :args (@t16)) % 0.36/0.71 (step @p127 :rule cong :premises (@p126 @p125) :args (@t85)) % 0.36/0.71 (step @p128 :rule cong :premises (@p127) :args (@t86)) % 0.36/0.71 (step @p129 :rule trans :premises (@p128 @p112)) % 0.36/0.71 (step @p130 :rule refl :args (@t25)) % 0.36/0.71 (step @p131 :rule cong :premises (@p130 @p129) :args (@t87)) % 0.36/0.71 (step @p132 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:premises (@p376 @p375)) % 0.36/0.71 (step @p378 :rule nary_cong :premises (@p61 @p377) :args ((or @t99 (not (and @t21 @t20 @t14 @t9))))) % 0.36/0.71 (step @p379 :rule bool-and-de-morgan :args (@t22 @t21 (and @t20 @t14 @t9))) % 0.36/0.71 (step @p380 :rule trans :premises (@p379 @p378)) % 0.36/0.71 (step @p381 :rule nary_cong :premises (@p80 @p380) :args ((or @t118 (not (and @t22 @t21 @t20 @t14 @t9))))) % 0.36/0.71 (step @p382 :rule bool-and-de-morgan :args (@t24 @t22 (and @t21 @t20 @t14 @t9))) % 0.36/0.71 (step @p383 :rule trans :premises (@p382 @p381)) % 0.36/0.71 (step @p384 :rule trans :premises (@p383 @p370)) % 0.36/0.71 (step @p385 :rule nary_cong :premises (@p384 @p366) :args ((or (not @t49) @t71))) % 0.36/0.71 (step @p386 :rule trans :premises (@p385 @p365)) % 0.36/0.71 (step @p387 :rule bool-impl-elim :args (@t49 @t71)) % 0.36/0.71 (step @p388 :rule trans :premises (@p387 @p386)) % 0.36/0.71 (step @p389 :rule cong :premises (@p388) :args (@t72)) % 0.36/0.71 (step @p390 :rule eq_resolve :premises (@p15 @p389)) % 0.36/0.71 (step @p391 :rule instantiate :premises (@p390) :args (@t152)) % 0.36/0.71 (step @p392 :rule cnf_or_pos :args (@t257)) % 0.36/0.71 (step @p393 :rule reordering :premises (@p392) :args ((or @t197 @t196 @t194 @t192 @t188 @t184 @t256 (not @t257)))) % 0.36/0.71 (step @p394 :rule chain_m_resolution :premises (@p393 @p234 @p232 @p226 @p220 @p208 @p196 @p391) :args (@t256 (@list true false false false false false false) (@list @t197 @t195 @t193 @t191 @t187 @t178 @t257))) % 0.36/0.71 (step @p395 :rule cnf_and_pos :args (@t256 1)) % 0.36/0.71 (step @p396 :rule reordering :premises (@p395) :args ((or @t248 @t258))) % 0.36/0.71 (step @p397 :rule chain_m_resolution :premises (@p396 @p394) :args (@t248 @t243 @t259)) % 0.36/0.71 (step @p398 :rule cnf_and_pos :args (@t256 0)) % 0.36/0.71 (step @p399 :rule reordering :premises (@p398) :args ((or @t250 @t258))) % 0.36/0.71 (step @p400 :rule chain_m_resolution :premises (@p399 @p394) :args (@t250 @t243 @t259)) % 0.36/0.71 (step @p401 :rule cnf_or_pos :args (@t254)) % 0.36/0.71 (step @p402 :rule reordering :premises (@p401) :args ((or @t251 @t249 @t253 (not @t254)))) % 0.36/0.71 (step @p403 :rule chain_m_resolution :premises (@p402 @p400 @p397 @p364) :args (@t253 (@list false false false) (@list @t250 @t248 @t254))) % 0.36/0.71 (step @p404 :rule trans :premises (@p403 @p238)) % 0.36/0.71 (step @p405 :rule true_intro :premises (@p404)) % 0.36/0.71 (step @p406 :rule cnf_or_neg :args (@t198 8)) % 0.36/0.71 (step @p407 :rule chain_m_resolution :premises (@p406 @p189) :args ((not @t183) @t199 @t200)) % 0.36/0.71 (step @p408 :rule false_intro :premises (@p407)) % 0.36/0.71 (step @p409 :rule symm :premises (@p408)) % 0.36/0.71 (step @p410 :rule trans :premises (@p409 @p405)) % 0.36/0.71 (step @p411 false :rule eq_resolve :premises (@p410 @p54)) % 0.36/0.71 ) % 0.36/0.71 % SZS output end Proof % 0.36/0.71 % cvc5 exiting %------------------------------------------------------------------------------