%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP644+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 : n012.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 0.15s 0.41s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : GRP644+1 : TPTP v9.2.1. Released v3.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 01:34:18 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.41 % SZS status Theorem % 0.15/0.41 % SZS output start Proof % 0.15/0.41 ( % 0.15/0.41 (declare-sort $$unsorted 0) % 0.15/0.41 (declare-const tptp.r1_rlvect_1 (-> $$unsorted $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.k1_group_3 (-> $$unsorted $$unsorted)) % 0.15/0.41 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.41 (declare-const tptp.g1_group_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.41 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.15/0.41 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.41 (declare-const tptp.k3_group_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.41 (declare-const tptp.v3_group_1 (-> $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.k1_latsubgr (-> $$unsorted $$unsorted)) % 0.15/0.41 (declare-const tptp.u1_group_1 (-> $$unsorted $$unsorted)) % 0.15/0.41 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.15/0.41 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.15/0.41 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.m1_group_2 (-> $$unsorted $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.v1_group_1 (-> $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.l1_group_1 (-> $$unsorted Bool)) % 0.15/0.41 (declare-const tptp.v4_group_1 (-> $$unsorted Bool)) % 0.15/0.41 (define @t1 () (@var "B" $$unsorted)) % 0.15/0.41 (define @t2 () (@var "A" $$unsorted)) % 0.15/0.41 (define @t3 () (tptp.k1_latsubgr @t2)) % 0.15/0.41 (define @t4 () (tptp.k1_funct_1 @t3 @t1)) % 0.15/0.41 (define @t5 () (@var "C" $$unsorted)) % 0.15/0.41 (define @t6 () (tptp.r2_hidden (tptp.k3_group_1 @t2 @t5) @t4)) % 0.15/0.41 (define @t7 () (tptp.r2_hidden @t5 @t4)) % 0.15/0.41 (define @t8 () (=> @t7 @t6)) % 0.15/0.41 (define @t9 () (tptp.u1_struct_0 @t2)) % 0.15/0.41 (define @t10 () (tptp.m1_subset_1 @t5 @t9)) % 0.15/0.41 (define @t11 () (@list @t5)) % 0.15/0.41 (define @t12 () (forall @t11 (=> @t10 @t8))) % 0.15/0.41 (define @t13 () (tptp.m1_group_2 @t1 @t2)) % 0.15/0.41 (define @t14 () (tptp.v1_group_1 @t1)) % 0.15/0.41 (define @t15 () (and @t14 @t13)) % 0.15/0.41 (define @t16 () (=> @t15 @t12)) % 0.15/0.41 (define @t17 () (@list @t1)) % 0.15/0.41 (define @t18 () (forall @t17 @t16)) % 0.15/0.41 (define @t19 () (tptp.l1_group_1 @t2)) % 0.15/0.41 (define @t20 () (tptp.v4_group_1 @t2)) % 0.15/0.41 (define @t21 () (tptp.v3_group_1 @t2)) % 0.15/0.41 (define @t22 () (tptp.v3_struct_0 @t2)) % 0.15/0.41 (define @t23 () (not @t22)) % 0.15/0.41 (define @t24 () (and @t23 @t21 @t20 @t19)) % 0.15/0.41 (define @t25 () (=> @t24 @t18)) % 0.15/0.41 (define @t26 () (@list @t2)) % 0.15/0.41 (define @t27 () (forall @t26 @t25)) % 0.15/0.41 (define @t28 () (not @t27)) % 0.15/0.41 (define @t29 () (tptp.u1_group_1 @t2)) % 0.15/0.41 (define @t30 () (tptp.r2_hidden @t2 @t1)) % 0.15/0.41 (define @t31 () (@list @t2 @t1)) % 0.15/0.41 (define @t32 () (tptp.v1_funct_2 @t5 @t2 @t1)) % 0.15/0.41 (define @t33 () (tptp.v1_funct_1 @t5)) % 0.15/0.41 (define @t34 () (and @t33 @t32)) % 0.15/0.41 (define @t35 () (tptp.v1_partfun1 @t5 @t2 @t1)) % 0.15/0.41 (define @t36 () (tptp.m1_relset_1 @t5 @t2 @t1)) % 0.15/0.41 (define @t37 () (@list @t2 @t1 @t5)) % 0.15/0.41 (define @t38 () (tptp.v1_relat_1 @t5)) % 0.15/0.41 (define @t39 () (tptp.k2_zfmisc_1 @t2 @t1)) % 0.15/0.41 (define @t40 () (tptp.m1_subset_1 @t5 (tptp.k1_zfmisc_1 @t39))) % 0.15/0.41 (define @t41 () (tptp.v1_xboole_0 @t1)) % 0.15/0.41 (define @t42 () (not @t41)) % 0.15/0.41 (define @t43 () (tptp.v1_xboole_0 @t5)) % 0.15/0.41 (define @t44 () (tptp.v1_xboole_0 @t2)) % 0.15/0.41 (define @t45 () (not @t44)) % 0.15/0.41 (define @t46 () (and @t45 @t42)) % 0.15/0.41 (define @t47 () (tptp.g1_group_1 @t2 @t1)) % 0.15/0.41 (define @t48 () (tptp.k2_zfmisc_1 @t2 @t2)) % 0.15/0.41 (define @t49 () (and (tptp.v1_funct_1 @t1) (tptp.v1_funct_2 @t1 @t48 @t2) (tptp.m1_relset_1 @t1 @t48 @t2))) % 0.15/0.41 (define @t50 () (tptp.k1_zfmisc_1 @t9)) % 0.15/0.41 (define @t51 () (tptp.k1_group_3 @t2)) % 0.15/0.41 (define @t52 () (tptp.k3_group_1 @t2 @t1)) % 0.15/0.41 (define @t53 () (tptp.m1_subset_1 @t52 @t9)) % 0.15/0.41 (define @t54 () (tptp.m1_subset_1 @t1 @t9)) % 0.15/0.41 (define @t55 () (and @t23 @t21 @t20 @t19 @t54)) % 0.15/0.41 (define @t56 () (forall @t31 (=> @t55 @t53))) % 0.15/0.41 (define @t57 () (tptp.l1_struct_0 @t2)) % 0.15/0.41 (define @t58 () (and @t23 @t21 @t19)) % 0.15/0.41 (define @t59 () (tptp.m2_relset_1 @t5 @t2 @t1)) % 0.15/0.41 (define @t60 () (tptp.k2_zfmisc_1 @t9 @t9)) % 0.15/0.41 (define @t61 () (and @t23 @t57)) % 0.15/0.41 (define @t62 () (tptp.k1_zfmisc_1 @t2)) % 0.15/0.41 (define @t63 () (@var "D" $$unsorted)) % 0.15/0.41 (define @t64 () (tptp.m1_subset_1 @t1 @t62)) % 0.15/0.41 (define @t65 () (= @t7 (tptp.r1_rlvect_1 @t1 @t5))) % 0.15/0.41 (define @t66 () (forall @t11 (=> @t10 @t65))) % 0.15/0.41 (define @t67 () (=> @t15 @t66)) % 0.15/0.41 (define @t68 () (forall @t17 @t67)) % 0.15/0.41 (define @t69 () (=> @t24 @t68)) % 0.15/0.41 (define @t70 () (forall @t26 @t69)) % 0.15/0.41 (define @t71 () (tptp.m1_subset_1 @t2 @t1)) % 0.15/0.41 (define @t72 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t5))) % 0.15/0.41 (define @t73 () (tptp.r1_rlvect_1 @t5 @t52)) % 0.15/0.41 (define @t74 () (tptp.r1_rlvect_1 @t5 @t1)) % 0.15/0.41 (define @t75 () (=> @t74 @t73)) % 0.15/0.41 (define @t76 () (tptp.m1_group_2 @t5 @t2)) % 0.15/0.41 (define @t77 () (forall @t11 (=> @t76 @t75))) % 0.15/0.41 (define @t78 () (=> @t54 @t77)) % 0.15/0.41 (define @t79 () (forall @t17 @t78)) % 0.15/0.41 (define @t80 () (=> @t24 @t79)) % 0.15/0.41 (define @t81 () (forall @t26 @t80)) % 0.15/0.41 (define @t82 () (@var "BOUND_VARIABLE_8088" $$unsorted)) % 0.15/0.41 (define @t83 () (@var "BOUND_VARIABLE_8090" $$unsorted)) % 0.15/0.41 (define @t84 () (tptp.r1_rlvect_1 @t83 (tptp.k3_group_1 @t2 @t82))) % 0.15/0.41 (define @t85 () (not (tptp.r1_rlvect_1 @t83 @t82))) % 0.15/0.41 (define @t86 () (not (tptp.m1_group_2 @t83 @t2))) % 0.15/0.41 (define @t87 () (not (tptp.m1_subset_1 @t82 @t9))) % 0.15/0.41 (define @t88 () (not @t19)) % 0.15/0.41 (define @t89 () (not @t20)) % 0.15/0.41 (define @t90 () (not @t21)) % 0.15/0.41 (define @t91 () (or @t22 @t90 @t89 @t88 @t87 @t86 @t85 @t84)) % 0.15/0.41 (define @t92 () (or @t87 @t86 @t85 @t84)) % 0.15/0.41 (define @t93 () (or @t22 @t90 @t89 @t88 @t92)) % 0.15/0.41 (define @t94 () (@list @t2 @t82 @t83)) % 0.15/0.41 (define @t95 () (forall @t94 @t93)) % 0.15/0.41 (define @t96 () (@list @t82 @t83)) % 0.15/0.41 (define @t97 () (forall @t96 @t93)) % 0.15/0.41 (define @t98 () (forall @t96 @t92)) % 0.15/0.41 (define @t99 () (@var "BOUND_VARIABLE_8071" $$unsorted)) % 0.15/0.41 (define @t100 () (or @t22 @t90 @t89 @t88 @t98)) % 0.15/0.41 (define @t101 () (tptp.r1_rlvect_1 @t99 @t52)) % 0.15/0.41 (define @t102 () (not (tptp.r1_rlvect_1 @t99 @t1))) % 0.15/0.41 (define @t103 () (not (tptp.m1_group_2 @t99 @t2))) % 0.15/0.41 (define @t104 () (not @t54)) % 0.15/0.41 (define @t105 () (or @t104 @t103 @t102 @t101)) % 0.15/0.41 (define @t106 () (@list @t1 @t99)) % 0.15/0.41 (define @t107 () (forall @t106 @t105)) % 0.15/0.41 (define @t108 () (or @t22 @t90 @t89 @t88 @t107)) % 0.15/0.41 (define @t109 () (or @t22 @t90 @t89 @t88)) % 0.15/0.41 (define @t110 () (not @t23)) % 0.15/0.41 (define @t111 () (or @t110 @t90 @t89 @t88)) % 0.15/0.41 (define @t112 () (not @t24)) % 0.15/0.41 (define @t113 () (or @t103 @t102 @t101)) % 0.15/0.41 (define @t114 () (or @t104 @t113)) % 0.15/0.41 (define @t115 () (forall @t106 @t114)) % 0.15/0.41 (define @t116 () (@list @t99)) % 0.15/0.41 (define @t117 () (forall @t116 @t114)) % 0.15/0.41 (define @t118 () (forall @t116 @t113)) % 0.15/0.41 (define @t119 () (@list @t5)) % 0.15/0.41 (define @t120 () (or @t104 @t118)) % 0.15/0.41 (define @t121 () (not @t74)) % 0.15/0.41 (define @t122 () (not @t76)) % 0.15/0.41 (define @t123 () (or @t122 @t121 @t73)) % 0.15/0.41 (define @t124 () (forall @t11 @t123)) % 0.15/0.41 (define @t125 () (@var "BOUND_VARIABLE_8027" $$unsorted)) % 0.15/0.41 (define @t126 () (@var "BOUND_VARIABLE_8025" $$unsorted)) % 0.15/0.41 (define @t127 () (= (tptp.r2_hidden @t125 (tptp.k1_funct_1 @t3 @t126)) (tptp.r1_rlvect_1 @t126 @t125))) % 0.15/0.41 (define @t128 () (not (tptp.m1_subset_1 @t125 @t9))) % 0.15/0.41 (define @t129 () (not (tptp.m1_group_2 @t126 @t2))) % 0.15/0.41 (define @t130 () (not (tptp.v1_group_1 @t126))) % 0.15/0.41 (define @t131 () (or @t130 @t129 @t128 @t127)) % 0.15/0.41 (define @t132 () (or @t22 @t90 @t89 @t88 @t131)) % 0.15/0.41 (define @t133 () (forall (@list @t2 @t126 @t125) @t132)) % 0.15/0.41 (define @t134 () (@list @t126 @t125)) % 0.15/0.41 (define @t135 () (forall @t134 @t132)) % 0.15/0.41 (define @t136 () (forall @t134 @t131)) % 0.15/0.41 (define @t137 () (@var "BOUND_VARIABLE_8008" $$unsorted)) % 0.15/0.41 (define @t138 () (or @t22 @t90 @t89 @t88 @t136)) % 0.15/0.41 (define @t139 () (= (tptp.r2_hidden @t137 @t4) (tptp.r1_rlvect_1 @t1 @t137))) % 0.15/0.41 (define @t140 () (not (tptp.m1_subset_1 @t137 @t9))) % 0.15/0.41 (define @t141 () (not @t13)) % 0.15/0.41 (define @t142 () (not @t14)) % 0.15/0.41 (define @t143 () (or @t142 @t141 @t140 @t139)) % 0.15/0.41 (define @t144 () (@list @t1 @t137)) % 0.15/0.41 (define @t145 () (forall @t144 @t143)) % 0.15/0.41 (define @t146 () (or @t22 @t90 @t89 @t88 @t145)) % 0.15/0.41 (define @t147 () (or @t140 @t139)) % 0.15/0.41 (define @t148 () (or @t142 @t141 @t147)) % 0.15/0.41 (define @t149 () (forall @t144 @t148)) % 0.15/0.41 (define @t150 () (@list @t137)) % 0.15/0.41 (define @t151 () (forall @t150 @t148)) % 0.15/0.41 (define @t152 () (forall @t150 @t147)) % 0.15/0.41 (define @t153 () (or @t142 @t141 @t152)) % 0.15/0.41 (define @t154 () (not @t10)) % 0.15/0.41 (define @t155 () (forall @t11 (or @t154 @t65))) % 0.15/0.41 (define @t156 () (or @t142 @t141 @t155)) % 0.15/0.41 (define @t157 () (or @t142 @t141)) % 0.15/0.41 (define @t158 () (not @t15)) % 0.15/0.41 (define @t159 () (@var "BOUND_VARIABLE_7719" $$unsorted)) % 0.15/0.41 (define @t160 () (tptp.k1_funct_1 @t3 @t159)) % 0.15/0.41 (define @t161 () (@var "BOUND_VARIABLE_7721" $$unsorted)) % 0.15/0.41 (define @t162 () (tptp.r2_hidden (tptp.k3_group_1 @t2 @t161) @t160)) % 0.15/0.41 (define @t163 () (not (tptp.r2_hidden @t161 @t160))) % 0.15/0.41 (define @t164 () (not (tptp.m1_subset_1 @t161 @t9))) % 0.15/0.41 (define @t165 () (not (tptp.m1_group_2 @t159 @t2))) % 0.15/0.41 (define @t166 () (not (tptp.v1_group_1 @t159))) % 0.15/0.41 (define @t167 () (or @t22 @t90 @t89 @t88 @t166 @t165 @t164 @t163 @t162)) % 0.15/0.41 (define @t168 () (@list @t2 @t159 @t161)) % 0.15/0.41 (define @t169 () (forall @t168 @t167)) % 0.15/0.41 (define @t170 () (@quantifiers_skolemize @t169 2)) % 0.15/0.41 (define @t171 () (@quantifiers_skolemize @t169 1)) % 0.15/0.41 (define @t172 () (@quantifiers_skolemize @t169 0)) % 0.15/0.41 (define @t173 () (or @t166 @t165 @t164 @t163 @t162)) % 0.15/0.41 (define @t174 () (or @t22 @t90 @t89 @t88 @t173)) % 0.15/0.41 (define @t175 () (forall @t168 @t174)) % 0.15/0.41 (define @t176 () (@list @t159 @t161)) % 0.15/0.41 (define @t177 () (forall @t176 @t174)) % 0.15/0.41 (define @t178 () (forall @t176 @t173)) % 0.15/0.41 (define @t179 () (@var "BOUND_VARIABLE_7696" $$unsorted)) % 0.15/0.41 (define @t180 () (or @t22 @t90 @t89 @t88 @t178)) % 0.15/0.41 (define @t181 () (tptp.r2_hidden (tptp.k3_group_1 @t2 @t179) @t4)) % 0.15/0.41 (define @t182 () (not (tptp.r2_hidden @t179 @t4))) % 0.15/0.41 (define @t183 () (not (tptp.m1_subset_1 @t179 @t9))) % 0.15/0.41 (define @t184 () (or @t142 @t141 @t183 @t182 @t181)) % 0.15/0.41 (define @t185 () (@list @t1 @t179)) % 0.15/0.41 (define @t186 () (forall @t185 @t184)) % 0.15/0.41 (define @t187 () (or @t22 @t90 @t89 @t88 @t186)) % 0.15/0.41 (define @t188 () (or @t183 @t182 @t181)) % 0.15/0.41 (define @t189 () (or @t142 @t141 @t188)) % 0.15/0.41 (define @t190 () (forall @t185 @t189)) % 0.15/0.41 (define @t191 () (@list @t179)) % 0.15/0.41 (define @t192 () (forall @t191 @t189)) % 0.15/0.41 (define @t193 () (forall @t191 @t188)) % 0.15/0.41 (define @t194 () (or @t142 @t141 @t193)) % 0.15/0.41 (define @t195 () (not @t7)) % 0.15/0.41 (define @t196 () (or @t154 @t195 @t6)) % 0.15/0.41 (define @t197 () (forall @t11 @t196)) % 0.15/0.41 (define @t198 () (or @t142 @t141 @t197)) % 0.15/0.41 (define @t199 () (tptp.u1_struct_0 @t172)) % 0.15/0.41 (define @t200 () (tptp.m1_subset_1 @t170 @t199)) % 0.15/0.41 (define @t201 () (tptp.k1_funct_1 (tptp.k1_latsubgr @t172) @t171)) % 0.15/0.41 (define @t202 () (tptp.k3_group_1 @t172 @t170)) % 0.15/0.41 (define @t203 () (tptp.r2_hidden @t202 @t201)) % 0.15/0.41 (define @t204 () (tptp.r2_hidden @t170 @t201)) % 0.15/0.41 (define @t205 () (not @t204)) % 0.15/0.41 (define @t206 () (not @t200)) % 0.15/0.41 (define @t207 () (tptp.m1_group_2 @t171 @t172)) % 0.15/0.41 (define @t208 () (not @t207)) % 0.15/0.41 (define @t209 () (tptp.v1_group_1 @t171)) % 0.15/0.41 (define @t210 () (not @t209)) % 0.15/0.41 (define @t211 () (tptp.l1_group_1 @t172)) % 0.15/0.41 (define @t212 () (not @t211)) % 0.15/0.41 (define @t213 () (tptp.v4_group_1 @t172)) % 0.15/0.41 (define @t214 () (not @t213)) % 0.15/0.41 (define @t215 () (tptp.v3_group_1 @t172)) % 0.15/0.41 (define @t216 () (not @t215)) % 0.15/0.41 (define @t217 () (tptp.v3_struct_0 @t172)) % 0.15/0.41 (define @t218 () (or @t217 @t216 @t214 @t212 @t210 @t208 @t206 @t205 @t203)) % 0.15/0.41 (define @t219 () (@list true)) % 0.15/0.41 (define @t220 () (@list @t218)) % 0.15/0.41 (define @t221 () (tptp.r1_rlvect_1 @t171 @t170)) % 0.15/0.41 (define @t222 () (= @t204 @t221)) % 0.15/0.41 (define @t223 () (or @t217 @t216 @t214 @t212 @t210 @t208 @t206 @t222)) % 0.15/0.41 (define @t224 () (@list true false false false false false false false)) % 0.15/0.41 (define @t225 () (or @t110 @t90 @t89 @t88 @t104)) % 0.15/0.41 (define @t226 () (tptp.m1_subset_1 @t202 @t199)) % 0.15/0.41 (define @t227 () (or @t217 @t216 @t214 @t212 @t206 @t226)) % 0.15/0.41 (define @t228 () (tptp.r1_rlvect_1 @t171 @t202)) % 0.15/0.41 (define @t229 () (= @t203 @t228)) % 0.15/0.41 (define @t230 () (not @t226)) % 0.15/0.41 (define @t231 () (or @t217 @t216 @t214 @t212 @t210 @t208 @t230 @t229)) % 0.15/0.41 (define @t232 () (not @t228)) % 0.15/0.41 (define @t233 () (@list true false)) % 0.15/0.41 (define @t234 () (not @t221)) % 0.15/0.41 (define @t235 () (or @t217 @t216 @t214 @t212 @t206 @t208 @t234 @t228)) % 0.15/0.41 (define @t236 () (not @t235)) % 0.15/0.41 (define @t237 () (forall @t94 @t91)) % 0.15/0.41 (assume @p1 @t28) % 0.15/0.41 (assume @p2 (forall @t26 (=> @t19 (=> (tptp.v1_group_1 @t2) (= @t2 (tptp.g1_group_1 @t9 @t29)))))) % 0.15/0.41 (assume @p3 (forall @t31 (=> @t30 (not (tptp.r2_hidden @t1 @t2))))) % 0.15/0.41 (assume @p4 (forall @t37 (=> @t36 (=> (and @t33 @t35) @t34)))) % 0.15/0.41 (assume @p5 (forall @t37 (=> @t40 @t38))) % 0.15/0.41 (assume @p6 (forall @t31 (=> @t42 (forall @t11 (=> @t36 (=> @t34 (and @t33 @t35 @t32))))))) % 0.15/0.41 (assume @p7 (forall @t31 (=> @t46 (forall @t11 (=> @t36 (=> @t34 (and @t33 (not @t43) @t35 @t32))))))) % 0.15/0.41 (assume @p8 (forall @t31 (=> @t49 (and (tptp.v1_group_1 @t47) (tptp.l1_group_1 @t47))))) % 0.15/0.41 (assume @p9 true) % 0.15/0.41 (assume @p10 (forall @t26 (=> @t24 (and (tptp.v1_funct_1 @t3) (tptp.v1_funct_2 @t3 @t51 @t50) (tptp.m2_relset_1 @t3 @t51 @t50))))) % 0.15/0.41 (assume @p11 @t56) % 0.15/0.41 (assume @p12 (forall @t26 (=> @t19 @t57))) % 0.15/0.41 (assume @p13 (forall @t26 (=> @t58 (forall @t17 (=> @t13 (and (not (tptp.v3_struct_0 @t1)) (tptp.v3_group_1 @t1) (tptp.l1_group_1 @t1))))))) % 0.15/0.41 (assume @p14 (forall @t37 (=> @t59 @t40))) % 0.15/0.41 (assume @p15 (forall @t26 (=> @t19 (and (tptp.v1_funct_1 @t29) (tptp.v1_funct_2 @t29 @t60 @t9) (tptp.m2_relset_1 @t29 @t60 @t9))))) % 0.15/0.41 (assume @p16 (exists @t26 @t19)) % 0.15/0.41 (assume @p17 (exists @t26 @t57)) % 0.15/0.41 (assume @p18 (forall @t26 (=> @t58 (exists @t17 @t13)))) % 0.15/0.41 (assume @p19 (forall @t31 (exists @t11 @t36))) % 0.15/0.41 (assume @p20 (forall @t26 (exists @t17 (tptp.m1_subset_1 @t1 @t2)))) % 0.15/0.41 (assume @p21 (forall @t31 (exists @t11 @t59))) % 0.15/0.41 (assume @p22 (forall @t26 (=> @t24 (not (tptp.v1_xboole_0 @t51))))) % 0.15/0.41 (assume @p23 (forall @t26 (=> @t61 (not (tptp.v1_xboole_0 @t9))))) % 0.15/0.41 (assume @p24 (forall @t26 (not (tptp.v1_xboole_0 @t62)))) % 0.15/0.41 (assume @p25 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.15/0.41 (assume @p26 (forall @t31 (=> @t46 (not (tptp.v1_xboole_0 @t39))))) % 0.15/0.41 (assume @p27 (forall @t31 (=> @t49 (forall (@list @t5 @t63) (=> (= @t47 (tptp.g1_group_1 @t5 @t63)) (and (= @t2 @t5) (= @t1 @t63))))))) % 0.15/0.41 (assume @p28 (forall @t31 (exists @t11 (and @t36 @t38 @t33 @t32)))) % 0.15/0.41 (assume @p29 (forall @t26 (=> @t45 (exists @t17 (and @t64 @t42))))) % 0.15/0.41 (assume @p30 (exists @t26 @t44)) % 0.15/0.41 (assume @p31 (forall @t31 (exists @t11 (and @t36 @t38 @t33)))) % 0.15/0.41 (assume @p32 (forall @t26 (exists @t17 (and @t64 @t41)))) % 0.15/0.41 (assume @p33 (exists @t26 @t45)) % 0.15/0.41 (assume @p34 (exists @t26 (and @t57 @t23))) % 0.15/0.41 (assume @p35 (forall @t26 (=> @t61 (exists @t17 (and (tptp.m1_subset_1 @t1 @t50) @t42))))) % 0.15/0.41 (assume @p36 (forall @t37 (= @t59 @t36))) % 0.15/0.41 (assume @p37 (forall @t31 (tptp.r1_tarski @t2 @t2))) % 0.15/0.41 (assume @p38 @t70) % 0.15/0.41 (assume @p39 (forall @t31 (=> @t30 @t71))) % 0.15/0.41 (assume @p40 (forall @t31 (=> @t71 (or @t41 @t30)))) % 0.15/0.41 (assume @p41 (forall @t31 (= (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t2 @t1)))) % 0.15/0.41 (assume @p42 (forall @t37 (=> (and @t30 @t72) (tptp.m1_subset_1 @t2 @t5)))) % 0.15/0.41 (assume @p43 (forall @t37 (not (and @t30 @t72 @t43)))) % 0.15/0.41 (assume @p44 @t81) % 0.15/0.41 (assume @p45 (forall @t26 (=> @t44 (= @t2 tptp.k1_xboole_0)))) % 0.15/0.41 (assume @p46 (forall @t31 (not (and @t30 @t41)))) % 0.15/0.41 (assume @p47 (forall @t31 (not (and @t44 (not (= @t2 @t1)) @t41)))) % 0.15/0.41 (step @p48 :rule aci_norm :args ((= @t93 @t91))) % 0.15/0.41 (step @p49 :rule cong :premises (@p48) :args (@t95)) % 0.15/0.41 (step @p50 :rule quant-merge-prenex :args ((= (forall @t26 @t97) @t95))) % 0.15/0.41 (step @p51 :rule alpha_equiv :args (@t98 (@list @t82 @t83) (@list @t1 @t99))) % 0.15/0.41 (step @p52 :rule refl :args (@t88)) % 0.15/0.41 (step @p53 :rule refl :args (@t89)) % 0.15/0.41 (step @p54 :rule refl :args (@t90)) % 0.15/0.41 (step @p55 :rule refl :args (@t22)) % 0.15/0.41 (step @p56 :rule nary_cong :premises (@p55 @p54 @p53 @p52 @p51) :args (@t100)) % 0.15/0.41 (step @p57 :rule quant-miniscope-or :args ((= @t97 @t100))) % 0.15/0.41 (step @p58 :rule trans :premises (@p57 @p56)) % 0.15/0.41 (step @p59 :rule symm :premises (@p58)) % 0.15/0.41 (step @p60 :rule cong :premises (@p59) :args ((forall @t26 @t108))) % 0.15/0.41 (step @p61 :rule trans :premises (@p60 @p50)) % 0.15/0.41 (step @p62 :rule trans :premises (@p61 @p49)) % 0.15/0.41 (step @p63 :rule aci_norm :args ((= (or @t109 @t107) @t108))) % 0.15/0.41 (step @p64 :rule refl :args (@t107)) % 0.15/0.41 (step @p65 :rule bool-double-not-elim :args (@t22)) % 0.15/0.41 (step @p66 :rule nary_cong :premises (@p65 @p54 @p53 @p52) :args (@t111)) % 0.15/0.41 (step @p67 :rule aci_norm :args ((= (or @t110 (or @t90 (or @t89 @t88))) @t111))) % 0.15/0.41 (step @p68 :rule trans :premises (@p67 @p66)) % 0.15/0.41 (step @p69 :rule bool-and-de-morgan :args (@t20 @t19 true)) % 0.15/0.41 (step @p70 :rule nary_cong :premises (@p54 @p69) :args ((or @t90 (not (and @t20 @t19))))) % 0.15/0.41 (step @p71 :rule bool-and-de-morgan :args (@t21 @t20 (and @t19))) % 0.15/0.41 (step @p72 :rule trans :premises (@p71 @p70)) % 0.15/0.41 (step @p73 :rule refl :args (@t110)) % 0.15/0.41 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t110 (not (and @t21 @t20 @t19))))) % 0.15/0.41 (step @p75 :rule bool-and-de-morgan :args (@t23 @t21 (and @t20 @t19))) % 0.15/0.41 (step @p76 :rule trans :premises (@p75 @p74)) % 0.15/0.41 (step @p77 :rule trans :premises (@p76 @p68)) % 0.15/0.41 (step @p78 :rule nary_cong :premises (@p77 @p64) :args ((or @t112 @t107))) % 0.15/0.41 (step @p79 :rule trans :premises (@p78 @p63)) % 0.15/0.41 (step @p80 :rule bool-impl-elim :args (@t24 @t107)) % 0.15/0.41 (step @p81 :rule trans :premises (@p80 @p79)) % 0.15/0.41 (step @p82 :rule cong :premises (@p81) :args ((forall @t26 (=> @t24 @t107)))) % 0.15/0.41 (step @p83 :rule trans :premises (@p82 @p62)) % 0.15/0.41 (step @p84 :rule aci_norm :args ((= @t114 @t105))) % 0.15/0.41 (step @p85 :rule cong :premises (@p84) :args (@t115)) % 0.15/0.41 (step @p86 :rule quant-merge-prenex :args ((= (forall @t17 @t117) @t115))) % 0.15/0.41 (step @p87 :rule alpha_equiv :args (@t118 (@list @t99) @t119)) % 0.15/0.41 (step @p88 :rule refl :args (@t104)) % 0.15/0.41 (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t120)) % 0.15/0.41 (step @p90 :rule quant-miniscope-or :args ((= @t117 @t120))) % 0.15/0.41 (step @p91 :rule trans :premises (@p90 @p89)) % 0.15/0.41 (step @p92 :rule symm :premises (@p91)) % 0.15/0.41 (step @p93 :rule cong :premises (@p92) :args ((forall @t17 (or @t104 @t124)))) % 0.15/0.41 (step @p94 :rule trans :premises (@p93 @p86)) % 0.15/0.41 (step @p95 :rule trans :premises (@p94 @p85)) % 0.15/0.41 (step @p96 :rule bool-impl-elim :args (@t54 @t124)) % 0.15/0.41 (step @p97 :rule cong :premises (@p96) :args ((forall @t17 (=> @t54 @t124)))) % 0.15/0.41 (step @p98 :rule trans :premises (@p97 @p95)) % 0.15/0.41 (step @p99 :rule aci_norm :args ((= (or @t122 (or @t121 @t73)) @t123))) % 0.15/0.41 (step @p100 :rule bool-impl-elim :args (@t74 @t73)) % 0.15/0.41 (step @p101 :rule refl :args (@t122)) % 0.15/0.41 (step @p102 :rule nary_cong :premises (@p101 @p100) :args ((or @t122 @t75))) % 0.15/0.41 (step @p103 :rule trans :premises (@p102 @p99)) % 0.15/0.41 (step @p104 :rule bool-impl-elim :args (@t76 @t75)) % 0.15/0.41 (step @p105 :rule trans :premises (@p104 @p103)) % 0.15/0.41 (step @p106 :rule cong :premises (@p105) :args (@t77)) % 0.15/0.41 (step @p107 :rule refl :args (@t54)) % 0.15/0.41 (step @p108 :rule cong :premises (@p107 @p106) :args (@t78)) % 0.15/0.41 (step @p109 :rule cong :premises (@p108) :args (@t79)) % 0.15/0.41 (step @p110 :rule trans :premises (@p109 @p98)) % 0.15/0.41 (step @p111 :rule refl :args (@t24)) % 0.15/0.41 (step @p112 :rule cong :premises (@p111 @p110) :args (@t80)) % 0.15/0.41 (step @p113 :rule cong :premises (@p112) :args (@t81)) % 0.15/0.41 (step @p114 :rule trans :premises (@p113 @p83)) % 0.15/0.41 (step @p115 :rule eq_resolve :premises (@p44 @p114)) % 0.15/0.41 (step @p116 :rule aci_norm :args ((= @t132 (or @t22 @t90 @t89 @t88 @t130 @t129 @t128 @t127)))) % 0.15/0.41 (step @p117 :rule cong :premises (@p116) :args (@t133)) % 0.15/0.41 (step @p118 :rule quant-merge-prenex :args ((= (forall @t26 @t135) @t133))) % 0.15/0.41 (step @p119 :rule alpha_equiv :args (@t136 (@list @t126 @t125) (@list @t1 @t137))) % 0.15/0.41 (step @p120 :rule nary_cong :premises (@p55 @p54 @p53 @p52 @p119) :args (@t138)) % 0.15/0.41 (step @p121 :rule quant-miniscope-or :args ((= @t135 @t138))) % 0.15/0.41 (step @p122 :rule trans :premises (@p121 @p120)) % 0.15/0.41 (step @p123 :rule symm :premises (@p122)) % 0.15/0.41 (step @p124 :rule cong :premises (@p123) :args ((forall @t26 @t146))) % 0.15/0.41 (step @p125 :rule trans :premises (@p124 @p118)) % 0.15/0.41 (step @p126 :rule trans :premises (@p125 @p117)) % 0.15/0.41 (step @p127 :rule aci_norm :args ((= (or @t109 @t145) @t146))) % 0.15/0.41 (step @p128 :rule refl :args (@t145)) % 0.15/0.41 (step @p129 :rule nary_cong :premises (@p77 @p128) :args ((or @t112 @t145))) % 0.15/0.41 (step @p130 :rule trans :premises (@p129 @p127)) % 0.15/0.41 (step @p131 :rule bool-impl-elim :args (@t24 @t145)) % 0.15/0.41 (step @p132 :rule trans :premises (@p131 @p130)) % 0.15/0.41 (step @p133 :rule cong :premises (@p132) :args ((forall @t26 (=> @t24 @t145)))) % 0.15/0.41 (step @p134 :rule trans :premises (@p133 @p126)) % 0.15/0.41 (step @p135 :rule aci_norm :args ((= @t148 @t143))) % 0.15/0.41 (step @p136 :rule cong :premises (@p135) :args (@t149)) % 0.15/0.41 (step @p137 :rule quant-merge-prenex :args ((= (forall @t17 @t151) @t149))) % 0.15/0.41 (step @p138 :rule alpha_equiv :args (@t152 (@list @t137) @t119)) % 0.15/0.41 (step @p139 :rule refl :args (@t141)) % 0.15/0.41 (step @p140 :rule refl :args (@t142)) % 0.15/0.41 (step @p141 :rule nary_cong :premises (@p140 @p139 @p138) :args (@t153)) % 0.15/0.41 (step @p142 :rule quant-miniscope-or :args ((= @t151 @t153))) % 0.15/0.41 (step @p143 :rule trans :premises (@p142 @p141)) % 0.15/0.41 (step @p144 :rule symm :premises (@p143)) % 0.15/0.41 (step @p145 :rule cong :premises (@p144) :args ((forall @t17 @t156))) % 0.15/0.41 (step @p146 :rule trans :premises (@p145 @p137)) % 0.15/0.41 (step @p147 :rule trans :premises (@p146 @p136)) % 0.15/0.41 (step @p148 :rule aci_norm :args ((= (or @t157 @t155) @t156))) % 0.15/0.41 (step @p149 :rule refl :args (@t155)) % 0.15/0.41 (step @p150 :rule bool-and-de-morgan :args (@t14 @t13 true)) % 0.15/0.41 (step @p151 :rule nary_cong :premises (@p150 @p149) :args ((or @t158 @t155))) % 0.15/0.41 (step @p152 :rule trans :premises (@p151 @p148)) % 0.15/0.41 (step @p153 :rule bool-impl-elim :args (@t15 @t155)) % 0.15/0.41 (step @p154 :rule trans :premises (@p153 @p152)) % 0.15/0.41 (step @p155 :rule cong :premises (@p154) :args ((forall @t17 (=> @t15 @t155)))) % 0.15/0.41 (step @p156 :rule trans :premises (@p155 @p147)) % 0.15/0.41 (step @p157 :rule bool-impl-elim :args (@t10 @t65)) % 0.15/0.41 (step @p158 :rule cong :premises (@p157) :args (@t66)) % 0.15/0.41 (step @p159 :rule refl :args (@t15)) % 0.15/0.41 (step @p160 :rule cong :premises (@p159 @p158) :args (@t67)) % 0.15/0.41 (step @p161 :rule cong :premises (@p160) :args (@t68)) % 0.15/0.41 (step @p162 :rule trans :premises (@p161 @p156)) % 0.15/0.41 (step @p163 :rule cong :premises (@p111 @p162) :args (@t69)) % 0.15/0.41 (step @p164 :rule cong :premises (@p163) :args (@t70)) % 0.15/0.41 (step @p165 :rule trans :premises (@p164 @p134)) % 0.15/0.41 (step @p166 :rule eq_resolve :premises (@p38 @p165)) % 0.15/0.41 (step @p167 :rule instantiate :premises (@p166) :args ((@list @t172 @t171 @t170))) % 0.15/0.41 (step @p168 :rule aci_norm :args ((= @t174 @t167))) % 0.15/0.41 (step @p169 :rule cong :premises (@p168) :args (@t175)) % 0.15/0.41 (step @p170 :rule quant-merge-prenex :args ((= (forall @t26 @t177) @t175))) % 0.15/0.41 (step @p171 :rule alpha_equiv :args (@t178 (@list @t159 @t161) (@list @t1 @t179))) % 0.15/0.41 (step @p172 :rule nary_cong :premises (@p55 @p54 @p53 @p52 @p171) :args (@t180)) % 0.15/0.41 (step @p173 :rule quant-miniscope-or :args ((= @t177 @t180))) % 0.15/0.41 (step @p174 :rule trans :premises (@p173 @p172)) % 0.15/0.41 (step @p175 :rule symm :premises (@p174)) % 0.15/0.41 (step @p176 :rule cong :premises (@p175) :args ((forall @t26 @t187))) % 0.15/0.41 (step @p177 :rule trans :premises (@p176 @p170)) % 0.15/0.41 (step @p178 :rule trans :premises (@p177 @p169)) % 0.15/0.41 (step @p179 :rule aci_norm :args ((= (or @t109 @t186) @t187))) % 0.15/0.41 (step @p180 :rule refl :args (@t186)) % 0.15/0.41 (step @p181 :rule nary_cong :premises (@p77 @p180) :args ((or @t112 @t186))) % 0.15/0.41 (step @p182 :rule trans :premises (@p181 @p179)) % 0.15/0.41 (step @p183 :rule bool-impl-elim :args (@t24 @t186)) % 0.15/0.41 (step @p184 :rule trans :premises (@p183 @p182)) % 0.15/0.41 (step @p185 :rule cong :premises (@p184) :args ((forall @t26 (=> @t24 @t186)))) % 0.15/0.41 (step @p186 :rule trans :premises (@p185 @p178)) % 0.15/0.41 (step @p187 :rule aci_norm :args ((= @t189 @t184))) % 0.15/0.41 (step @p188 :rule cong :premises (@p187) :args (@t190)) % 0.15/0.41 (step @p189 :rule quant-merge-prenex :args ((= (forall @t17 @t192) @t190))) % 0.15/0.41 (step @p190 :rule alpha_equiv :args (@t193 (@list @t179) @t119)) % 0.15/0.41 (step @p191 :rule nary_cong :premises (@p140 @p139 @p190) :args (@t194)) % 0.15/0.41 (step @p192 :rule quant-miniscope-or :args ((= @t192 @t194))) % 0.15/0.41 (step @p193 :rule trans :premises (@p192 @p191)) % 0.15/0.41 (step @p194 :rule symm :premises (@p193)) % 0.15/0.41 (step @p195 :rule cong :premises (@p194) :args ((forall @t17 @t198))) % 0.15/0.41 (step @p196 :rule trans :premises (@p195 @p189)) % 0.15/0.41 (step @p197 :rule trans :premises (@p196 @p188)) % 0.15/0.41 (step @p198 :rule aci_norm :args ((= (or @t157 @t197) @t198))) % 0.15/0.41 (step @p199 :rule refl :args (@t197)) % 0.15/0.41 (step @p200 :rule nary_cong :premises (@p150 @p199) :args ((or @t158 @t197))) % 0.15/0.41 (step @p201 :rule trans :premises (@p200 @p198)) % 0.15/0.41 (step @p202 :rule bool-impl-elim :args (@t15 @t197)) % 0.15/0.41 (step @p203 :rule trans :premises (@p202 @p201)) % 0.15/0.41 (step @p204 :rule cong :premises (@p203) :args ((forall @t17 (=> @t15 @t197)))) % 0.15/0.41 (step @p205 :rule trans :premises (@p204 @p197)) % 0.15/0.41 (step @p206 :rule aci_norm :args ((= (or @t154 (or @t195 @t6)) @t196))) % 0.15/0.41 (step @p207 :rule bool-impl-elim :args (@t7 @t6)) % 0.15/0.41 (step @p208 :rule refl :args (@t154)) % 0.15/0.41 (step @p209 :rule nary_cong :premises (@p208 @p207) :args ((or @t154 @t8))) % 0.15/0.41 (step @p210 :rule trans :premises (@p209 @p206)) % 0.15/0.41 (step @p211 :rule bool-impl-elim :args (@t10 @t8)) % 0.15/0.41 (step @p212 :rule trans :premises (@p211 @p210)) % 0.15/0.41 (step @p213 :rule cong :premises (@p212) :args (@t12)) % 0.15/0.41 (step @p214 :rule cong :premises (@p159 @p213) :args (@t16)) % 0.15/0.41 (step @p215 :rule cong :premises (@p214) :args (@t18)) % 0.15/0.41 (step @p216 :rule trans :premises (@p215 @p205)) % 0.15/0.41 (step @p217 :rule cong :premises (@p111 @p216) :args (@t25)) % 0.15/0.41 (step @p218 :rule cong :premises (@p217) :args (@t27)) % 0.15/0.41 (step @p219 :rule trans :premises (@p218 @p186)) % 0.15/0.41 (step @p220 :rule cong :premises (@p219) :args (@t28)) % 0.15/0.41 (step @p221 :rule eq_resolve :premises (@p1 @p220)) % 0.15/0.41 (step @p222 :rule skolemize :premises (@p221)) % 0.15/0.41 (step @p223 :rule bool-double-not-elim :args (@t200)) % 0.15/0.41 (step @p224 :rule refl :args (@t218)) % 0.15/0.41 (step @p225 :rule nary_cong :premises (@p224 @p223) :args ((or @t218 (not @t206)))) % 0.15/0.41 (step @p226 :rule cnf_or_neg :args (@t218 6)) % 0.15/0.41 (step @p227 :rule eq_resolve :premises (@p226 @p225)) % 0.15/0.41 (step @p228 :rule reordering :premises (@p227) :args ((or @t200 @t218))) % 0.15/0.41 (step @p229 :rule chain_m_resolution :premises (@p228 @p222) :args (@t200 @t219 @t220)) % 0.15/0.41 (step @p230 :rule bool-double-not-elim :args (@t207)) % 0.15/0.41 (step @p231 :rule nary_cong :premises (@p224 @p230) :args ((or @t218 (not @t208)))) % 0.15/0.41 (step @p232 :rule cnf_or_neg :args (@t218 5)) % 0.15/0.41 (step @p233 :rule eq_resolve :premises (@p232 @p231)) % 0.15/0.41 (step @p234 :rule reordering :premises (@p233) :args ((or @t207 @t218))) % 0.15/0.41 (step @p235 :rule chain_m_resolution :premises (@p234 @p222) :args (@t207 @t219 @t220)) % 0.15/0.41 (step @p236 :rule bool-double-not-elim :args (@t209)) % 0.15/0.41 (step @p237 :rule nary_cong :premises (@p224 @p236) :args ((or @t218 (not @t210)))) % 0.15/0.41 (step @p238 :rule cnf_or_neg :args (@t218 4)) % 0.15/0.41 (step @p239 :rule eq_resolve :premises (@p238 @p237)) % 0.15/0.41 (step @p240 :rule reordering :premises (@p239) :args ((or @t209 @t218))) % 0.15/0.41 (step @p241 :rule chain_m_resolution :premises (@p240 @p222) :args (@t209 @t219 @t220)) % 0.15/0.41 (step @p242 :rule bool-double-not-elim :args (@t211)) % 0.15/0.41 (step @p243 :rule nary_cong :premises (@p224 @p242) :args ((or @t218 (not @t212)))) % 0.15/0.41 (step @p244 :rule cnf_or_neg :args (@t218 3)) % 0.15/0.41 (step @p245 :rule eq_resolve :premises (@p244 @p243)) % 0.15/0.41 (step @p246 :rule reordering :premises (@p245) :args ((or @t211 @t218))) % 0.15/0.41 (step @p247 :rule chain_m_resolution :premises (@p246 @p222) :args (@t211 @t219 @t220)) % 0.15/0.41 (step @p248 :rule bool-double-not-elim :args (@t213)) % 0.15/0.41 (step @p249 :rule nary_cong :premises (@p224 @p248) :args ((or @t218 (not @t214)))) % 0.15/0.41 (step @p250 :rule cnf_or_neg :args (@t218 2)) % 0.15/0.41 (step @p251 :rule eq_resolve :premises (@p250 @p249)) % 0.15/0.41 (step @p252 :rule reordering :premises (@p251) :args ((or @t213 @t218))) % 0.15/0.41 (step @p253 :rule chain_m_resolution :premises (@p252 @p222) :args (@t213 @t219 @t220)) % 0.15/0.41 (step @p254 :rule bool-double-not-elim :args (@t215)) % 0.15/0.41 (step @p255 :rule nary_cong :premises (@p224 @p254) :args ((or @t218 (not @t216)))) % 0.15/0.41 (step @p256 :rule cnf_or_neg :args (@t218 1)) % 0.15/0.41 (step @p257 :rule eq_resolve :premises (@p256 @p255)) % 0.15/0.41 (step @p258 :rule reordering :premises (@p257) :args ((or @t215 @t218))) % 0.15/0.41 (step @p259 :rule chain_m_resolution :premises (@p258 @p222) :args (@t215 @t219 @t220)) % 0.15/0.41 (step @p260 :rule cnf_or_neg :args (@t218 0)) % 0.15/0.41 (step @p261 :rule chain_m_resolution :premises (@p260 @p222) :args ((not @t217) @t219 @t220)) % 0.15/0.41 (step @p262 :rule cnf_or_pos :args (@t223)) % 0.15/0.41 (step @p263 :rule reordering :premises (@p262) :args ((or @t217 @t216 @t214 @t212 @t210 @t208 @t206 @t222 (not @t223)))) % 0.15/0.41 (step @p264 :rule chain_m_resolution :premises (@p263 @p261 @p259 @p253 @p247 @p241 @p235 @p229 @p167) :args (@t222 @t224 (@list @t217 @t215 @t213 @t211 @t209 @t207 @t200 @t223))) % 0.15/0.41 (step @p265 :rule bool-double-not-elim :args (@t204)) % 0.15/0.41 (step @p266 :rule nary_cong :premises (@p224 @p265) :args ((or @t218 (not @t205)))) % 0.15/0.41 (step @p267 :rule cnf_or_neg :args (@t218 7)) % 0.15/0.41 (step @p268 :rule eq_resolve :premises (@p267 @p266)) % 0.15/0.41 (step @p269 :rule reordering :premises (@p268) :args ((or @t204 @t218))) % 0.15/0.41 (step @p270 :rule chain_m_resolution :premises (@p269 @p222) :args (@t204 @t219 @t220)) % 0.15/0.41 (step @p271 :rule cnf_equiv_pos1 :args (@t222)) % 0.15/0.41 (step @p272 :rule reordering :premises (@p271) :args ((or @t205 @t221 (not @t222)))) % 0.15/0.41 (step @p273 :rule chain_m_resolution :premises (@p272 @p270 @p264) :args (@t221 (@list false false) (@list @t204 @t222))) % 0.15/0.41 (step @p274 :rule instantiate :premises (@p166) :args ((@list @t172 @t171 @t202))) % 0.15/0.41 (step @p275 :rule aci_norm :args ((= (or (or @t22 @t90 @t89 @t88 @t104) @t53) (or @t22 @t90 @t89 @t88 @t104 @t53)))) % 0.15/0.41 (step @p276 :rule refl :args (@t53)) % 0.15/0.41 (step @p277 :rule nary_cong :premises (@p65 @p54 @p53 @p52 @p88) :args (@t225)) % 0.15/0.41 (step @p278 :rule aci_norm :args ((= (or @t110 (or @t90 (or @t89 (or @t88 @t104)))) @t225))) % 0.15/0.41 (step @p279 :rule trans :premises (@p278 @p277)) % 0.15/0.41 (step @p280 :rule bool-and-de-morgan :args (@t19 @t54 true)) % 0.15/0.41 (step @p281 :rule nary_cong :premises (@p53 @p280) :args ((or @t89 (not (and @t19 @t54))))) % 0.15/0.41 (step @p282 :rule bool-and-de-morgan :args (@t20 @t19 (and @t54))) % 0.15/0.41 (step @p283 :rule trans :premises (@p282 @p281)) % 0.15/0.41 (step @p284 :rule nary_cong :premises (@p54 @p283) :args ((or @t90 (not (and @t20 @t19 @t54))))) % 0.15/0.41 (step @p285 :rule bool-and-de-morgan :args (@t21 @t20 (and @t19 @t54))) % 0.15/0.41 (step @p286 :rule trans :premises (@p285 @p284)) % 0.15/0.41 (step @p287 :rule nary_cong :premises (@p73 @p286) :args ((or @t110 (not (and @t21 @t20 @t19 @t54))))) % 0.15/0.41 (step @p288 :rule bool-and-de-morgan :args (@t23 @t21 (and @t20 @t19 @t54))) % 0.15/0.41 (step @p289 :rule trans :premises (@p288 @p287)) % 0.15/0.41 (step @p290 :rule trans :premises (@p289 @p279)) % 0.15/0.41 (step @p291 :rule nary_cong :premises (@p290 @p276) :args ((or (not @t55) @t53))) % 0.15/0.41 (step @p292 :rule trans :premises (@p291 @p275)) % 0.15/0.41 (step @p293 :rule bool-impl-elim :args (@t55 @t53)) % 0.15/0.41 (step @p294 :rule trans :premises (@p293 @p292)) % 0.15/0.41 (step @p295 :rule cong :premises (@p294) :args (@t56)) % 0.15/0.41 (step @p296 :rule eq_resolve :premises (@p11 @p295)) % 0.15/0.41 (step @p297 :rule instantiate :premises (@p296) :args ((@list @t172 @t170))) % 0.15/0.41 (step @p298 :rule cnf_or_pos :args (@t227)) % 0.15/0.41 (step @p299 :rule reordering :premises (@p298) :args ((or @t217 @t216 @t214 @t212 @t206 @t226 (not @t227)))) % 0.15/0.41 (step @p300 :rule chain_m_resolution :premises (@p299 @p261 @p259 @p253 @p247 @p229 @p297) :args (@t226 (@list true false false false false false) (@list @t217 @t215 @t213 @t211 @t200 @t227))) % 0.15/0.41 (step @p301 :rule cnf_or_pos :args (@t231)) % 0.15/0.41 (step @p302 :rule reordering :premises (@p301) :args ((or @t217 @t216 @t214 @t212 @t210 @t208 @t230 @t229 (not @t231)))) % 0.15/0.41 (step @p303 :rule chain_m_resolution :premises (@p302 @p261 @p259 @p253 @p247 @p241 @p235 @p300 @p274) :args (@t229 @t224 (@list @t217 @t215 @t213 @t211 @t209 @t207 @t226 @t231))) % 0.15/0.41 (step @p304 :rule cnf_or_neg :args (@t218 8)) % 0.15/0.41 (step @p305 :rule chain_m_resolution :premises (@p304 @p222) :args ((not @t203) @t219 @t220)) % 0.15/0.41 (step @p306 :rule cnf_equiv_pos2 :args (@t229)) % 0.15/0.41 (step @p307 :rule reordering :premises (@p306) :args ((or @t203 @t232 (not @t229)))) % 0.15/0.41 (step @p308 :rule chain_m_resolution :premises (@p307 @p305 @p303) :args (@t232 @t233 (@list @t203 @t229))) % 0.15/0.41 (step @p309 :rule cnf_or_pos :args (@t235)) % 0.15/0.41 (step @p310 :rule reordering :premises (@p309) :args ((or @t217 @t216 @t214 @t212 @t208 @t206 @t228 @t234 @t236))) % 0.15/0.41 (step @p311 :rule chain_m_resolution :premises (@p310 @p261 @p259 @p253 @p247 @p235 @p229 @p308 @p273) :args (@t236 (@list true false false false false false true false) (@list @t217 @t215 @t213 @t211 @t207 @t200 @t228 @t221))) % 0.15/0.41 (assume-push @p318 @t237) % 0.15/0.41 (step @p313 :rule instantiate :premises (@p115) :args ((@list @t172 @t170 @t171))) % 0.15/0.41 (step-pop @p319 :rule scope :premises (@p313)) % 0.15/0.41 (step @p314 :rule process_scope :premises (@p319) :args (@t235)) % 0.15/0.41 (step @p316 :rule implies_elim :premises (@p314)) % 0.15/0.41 (step @p317 false :rule chain_m_resolution :premises (@p316 @p311 @p115) :args (false @t233 (@list @t235 @t237))) % 0.15/0.41 ) % 0.15/0.41 % SZS output end Proof % 0.15/0.41 % cvc5 exiting %------------------------------------------------------------------------------