%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP618+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 : n001.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:21:01 AM UTC 2026 % Result : Theorem 0.42s 0.67s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : GRP618+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n001.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 01:21:20 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.42/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.42/0.67 % SZS status Theorem % 0.42/0.67 % SZS output start Proof % 0.42/0.67 ( % 0.42/0.67 (declare-sort $$unsorted 0) % 0.42/0.67 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 0.42/0.67 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 0.42/0.67 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.67 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.67 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 0.42/0.67 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 0.42/0.67 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 0.42/0.67 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 0.42/0.67 (declare-const tptp.v2_group_1 (-> $$unsorted Bool)) % 0.42/0.67 (declare-const tptp.g1_group_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.67 (declare-const tptp.k1_xboole_0 $$unsorted) % 0.42/0.67 (declare-const tptp.v1_group_3 (-> $$unsorted $$unsorted Bool)) % 0.42/0.67 (declare-const tptp.u1_group_1 (-> $$unsorted $$unsorted)) % 0.42/0.67 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 0.42/0.68 (declare-const tptp.k2_group_3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.42/0.68 (declare-const tptp.r1_rlvect_1 (-> $$unsorted $$unsorted Bool)) % 0.42/0.68 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.68 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 0.42/0.68 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.42/0.68 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 0.42/0.68 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 0.42/0.68 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 0.42/0.68 (declare-const tptp.m1_group_2 (-> $$unsorted $$unsorted Bool)) % 0.42/0.68 (declare-const tptp.l1_group_1 (-> $$unsorted Bool)) % 0.42/0.68 (declare-const tptp.v4_group_1 (-> $$unsorted Bool)) % 0.42/0.68 (declare-const tptp.v3_group_1 (-> $$unsorted Bool)) % 0.42/0.68 (declare-const tptp.v1_group_1 (-> $$unsorted Bool)) % 0.42/0.68 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 0.42/0.68 (define @t1 () (@var "A" $$unsorted)) % 0.42/0.68 (define @t2 () (@var "B" $$unsorted)) % 0.42/0.68 (define @t3 () (tptp.v1_group_3 @t2 @t1)) % 0.42/0.68 (define @t4 () (@var "C" $$unsorted)) % 0.42/0.68 (define @t5 () (@var "D" $$unsorted)) % 0.42/0.68 (define @t6 () (tptp.r1_rlvect_1 @t2 (tptp.k2_group_3 @t1 @t5 @t4))) % 0.42/0.68 (define @t7 () (tptp.u1_struct_0 @t2)) % 0.42/0.68 (define @t8 () (tptp.m1_subset_1 @t5 @t7)) % 0.42/0.68 (define @t9 () (=> @t8 @t6)) % 0.42/0.68 (define @t10 () (tptp.u1_struct_0 @t1)) % 0.42/0.68 (define @t11 () (tptp.m1_subset_1 @t5 @t10)) % 0.42/0.68 (define @t12 () (@list @t5)) % 0.42/0.68 (define @t13 () (forall @t12 (=> @t11 @t9))) % 0.42/0.68 (define @t14 () (tptp.m1_subset_1 @t4 @t10)) % 0.42/0.68 (define @t15 () (=> @t14 @t13)) % 0.42/0.68 (define @t16 () (@list @t4)) % 0.42/0.68 (define @t17 () (forall @t16 @t15)) % 0.42/0.68 (define @t18 () (= @t17 @t3)) % 0.42/0.68 (define @t19 () (tptp.m1_group_2 @t2 @t1)) % 0.42/0.68 (define @t20 () (=> @t19 @t18)) % 0.42/0.68 (define @t21 () (@list @t2)) % 0.42/0.68 (define @t22 () (forall @t21 @t20)) % 0.42/0.68 (define @t23 () (tptp.l1_group_1 @t1)) % 0.42/0.68 (define @t24 () (tptp.v4_group_1 @t1)) % 0.42/0.68 (define @t25 () (tptp.v3_group_1 @t1)) % 0.42/0.68 (define @t26 () (tptp.v1_group_1 @t1)) % 0.42/0.68 (define @t27 () (tptp.v3_struct_0 @t1)) % 0.42/0.68 (define @t28 () (not @t27)) % 0.42/0.68 (define @t29 () (and @t28 @t26 @t25 @t24 @t23)) % 0.42/0.68 (define @t30 () (=> @t29 @t22)) % 0.42/0.68 (define @t31 () (@list @t1)) % 0.42/0.68 (define @t32 () (forall @t31 @t30)) % 0.42/0.68 (define @t33 () (not @t32)) % 0.42/0.68 (define @t34 () (tptp.v1_xboole_0 @t1)) % 0.42/0.68 (define @t35 () (tptp.v2_funct_1 @t1)) % 0.42/0.68 (define @t36 () (tptp.v1_funct_1 @t1)) % 0.42/0.68 (define @t37 () (tptp.v1_relat_1 @t1)) % 0.42/0.68 (define @t38 () (and @t37 @t36 @t35)) % 0.42/0.68 (define @t39 () (@list @t1 @t2)) % 0.42/0.68 (define @t40 () (and @t37 @t34 @t36)) % 0.42/0.68 (define @t41 () (tptp.v1_funct_2 @t4 @t1 @t2)) % 0.42/0.68 (define @t42 () (tptp.v1_funct_1 @t4)) % 0.42/0.68 (define @t43 () (tptp.v1_relat_1 @t4)) % 0.42/0.68 (define @t44 () (tptp.m1_relset_1 @t4 @t1 @t2)) % 0.42/0.68 (define @t45 () (tptp.r2_hidden @t1 @t2)) % 0.42/0.68 (define @t46 () (and @t42 @t41)) % 0.42/0.68 (define @t47 () (tptp.v1_partfun1 @t4 @t1 @t2)) % 0.42/0.68 (define @t48 () (@list @t1 @t2 @t4)) % 0.42/0.68 (define @t49 () (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t1 @t2)))) % 0.42/0.68 (define @t50 () (tptp.v1_xboole_0 @t2)) % 0.42/0.68 (define @t51 () (not @t50)) % 0.42/0.68 (define @t52 () (tptp.l1_struct_0 @t1)) % 0.42/0.68 (define @t53 () (and @t28 @t52)) % 0.42/0.68 (define @t54 () (tptp.m1_subset_1 @t1 @t2)) % 0.42/0.68 (define @t55 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t4))) % 0.42/0.68 (define @t56 () (tptp.v1_xboole_0 @t4)) % 0.42/0.68 (define @t57 () (tptp.m2_relset_1 @t4 @t1 @t2)) % 0.42/0.68 (define @t58 () (not @t34)) % 0.42/0.68 (define @t59 () (tptp.g1_group_1 @t1 @t2)) % 0.42/0.68 (define @t60 () (tptp.v1_group_1 @t59)) % 0.42/0.68 (define @t61 () (tptp.k2_zfmisc_1 @t1 @t1)) % 0.42/0.68 (define @t62 () (tptp.m1_relset_1 @t2 @t61 @t1)) % 0.42/0.68 (define @t63 () (tptp.v1_funct_2 @t2 @t61 @t1)) % 0.42/0.68 (define @t64 () (tptp.v1_funct_1 @t2)) % 0.42/0.68 (define @t65 () (and @t64 @t63 @t62)) % 0.42/0.68 (define @t66 () (tptp.k2_zfmisc_1 @t10 @t10)) % 0.42/0.68 (define @t67 () (tptp.u1_group_1 @t1)) % 0.42/0.68 (define @t68 () (tptp.v4_group_1 @t2)) % 0.42/0.68 (define @t69 () (tptp.v3_group_1 @t2)) % 0.42/0.68 (define @t70 () (tptp.v2_group_1 @t2)) % 0.42/0.68 (define @t71 () (tptp.v1_group_1 @t2)) % 0.42/0.68 (define @t72 () (not (tptp.v3_struct_0 @t2))) % 0.42/0.68 (define @t73 () (and @t28 @t25 @t24 @t23)) % 0.42/0.68 (define @t74 () (tptp.v2_group_1 @t1)) % 0.42/0.68 (define @t75 () (and @t28 @t25 @t23)) % 0.42/0.68 (define @t76 () (=> @t17 @t3)) % 0.42/0.68 (define @t77 () (=> @t19 @t76)) % 0.42/0.68 (define @t78 () (forall @t21 @t77)) % 0.42/0.68 (define @t79 () (=> @t29 @t78)) % 0.42/0.68 (define @t80 () (forall @t31 @t79)) % 0.42/0.68 (define @t81 () (=> @t3 @t17)) % 0.42/0.68 (define @t82 () (=> @t19 @t81)) % 0.42/0.68 (define @t83 () (forall @t21 @t82)) % 0.42/0.68 (define @t84 () (=> @t29 @t83)) % 0.42/0.68 (define @t85 () (forall @t31 @t84)) % 0.42/0.68 (define @t86 () (@var "BOUND_VARIABLE_8194" $$unsorted)) % 0.42/0.68 (define @t87 () (@var "BOUND_VARIABLE_8196" $$unsorted)) % 0.42/0.68 (define @t88 () (@var "BOUND_VARIABLE_8192" $$unsorted)) % 0.42/0.68 (define @t89 () (tptp.r1_rlvect_1 @t88 (tptp.k2_group_3 @t1 @t87 @t86))) % 0.42/0.68 (define @t90 () (not (tptp.m1_subset_1 @t87 (tptp.u1_struct_0 @t88)))) % 0.42/0.68 (define @t91 () (not (tptp.m1_subset_1 @t87 @t10))) % 0.42/0.68 (define @t92 () (not (tptp.m1_subset_1 @t86 @t10))) % 0.42/0.68 (define @t93 () (not (tptp.v1_group_3 @t88 @t1))) % 0.42/0.68 (define @t94 () (not (tptp.m1_group_2 @t88 @t1))) % 0.42/0.68 (define @t95 () (not @t23)) % 0.42/0.68 (define @t96 () (not @t24)) % 0.42/0.68 (define @t97 () (not @t25)) % 0.42/0.68 (define @t98 () (not @t26)) % 0.42/0.68 (define @t99 () (or @t27 @t98 @t97 @t96 @t95 @t94 @t93 @t92 @t91 @t90 @t89)) % 0.42/0.68 (define @t100 () (or @t94 @t93 @t92 @t91 @t90 @t89)) % 0.42/0.68 (define @t101 () (or @t27 @t98 @t97 @t96 @t95 @t100)) % 0.42/0.68 (define @t102 () (@list @t1 @t88 @t86 @t87)) % 0.42/0.68 (define @t103 () (forall @t102 @t101)) % 0.42/0.68 (define @t104 () (@list @t88 @t86 @t87)) % 0.42/0.68 (define @t105 () (forall @t104 @t101)) % 0.42/0.68 (define @t106 () (forall @t104 @t100)) % 0.42/0.68 (define @t107 () (@var "BOUND_VARIABLE_8172" $$unsorted)) % 0.42/0.68 (define @t108 () (@var "BOUND_VARIABLE_8170" $$unsorted)) % 0.42/0.68 (define @t109 () (or @t27 @t98 @t97 @t96 @t95 @t106)) % 0.42/0.68 (define @t110 () (tptp.r1_rlvect_1 @t2 (tptp.k2_group_3 @t1 @t107 @t108))) % 0.42/0.68 (define @t111 () (not (tptp.m1_subset_1 @t107 @t7))) % 0.42/0.68 (define @t112 () (not (tptp.m1_subset_1 @t107 @t10))) % 0.42/0.68 (define @t113 () (not (tptp.m1_subset_1 @t108 @t10))) % 0.42/0.68 (define @t114 () (not @t3)) % 0.42/0.68 (define @t115 () (not @t19)) % 0.42/0.68 (define @t116 () (or @t115 @t114 @t113 @t112 @t111 @t110)) % 0.42/0.68 (define @t117 () (@list @t2 @t108 @t107)) % 0.42/0.68 (define @t118 () (forall @t117 @t116)) % 0.42/0.68 (define @t119 () (or @t27 @t98 @t97 @t96 @t95 @t118)) % 0.42/0.68 (define @t120 () (or @t27 @t98 @t97 @t96 @t95)) % 0.42/0.68 (define @t121 () (not @t28)) % 0.42/0.68 (define @t122 () (or @t121 @t98 @t97 @t96 @t95)) % 0.42/0.68 (define @t123 () (not @t29)) % 0.42/0.68 (define @t124 () (or @t113 @t112 @t111 @t110)) % 0.42/0.68 (define @t125 () (or @t115 @t114 @t124)) % 0.42/0.68 (define @t126 () (forall @t117 @t125)) % 0.42/0.68 (define @t127 () (@list @t108 @t107)) % 0.42/0.68 (define @t128 () (forall @t127 @t125)) % 0.42/0.68 (define @t129 () (forall @t127 @t124)) % 0.42/0.68 (define @t130 () (@var "BOUND_VARIABLE_7711" $$unsorted)) % 0.42/0.68 (define @t131 () (or @t115 @t114 @t129)) % 0.42/0.68 (define @t132 () (tptp.k2_group_3 @t1 @t130 @t4)) % 0.42/0.68 (define @t133 () (tptp.r1_rlvect_1 @t2 @t132)) % 0.42/0.68 (define @t134 () (not (tptp.m1_subset_1 @t130 @t7))) % 0.42/0.68 (define @t135 () (not (tptp.m1_subset_1 @t130 @t10))) % 0.42/0.68 (define @t136 () (not @t14)) % 0.42/0.68 (define @t137 () (or @t136 @t135 @t134 @t133)) % 0.42/0.68 (define @t138 () (@list @t4 @t130)) % 0.42/0.68 (define @t139 () (forall @t138 @t137)) % 0.42/0.68 (define @t140 () (or @t115 @t114 @t139)) % 0.42/0.68 (define @t141 () (=> @t3 @t139)) % 0.42/0.68 (define @t142 () (or @t135 @t134 @t133)) % 0.42/0.68 (define @t143 () (or @t136 @t142)) % 0.42/0.68 (define @t144 () (forall @t138 @t143)) % 0.42/0.68 (define @t145 () (@list @t130)) % 0.42/0.68 (define @t146 () (forall @t145 @t143)) % 0.42/0.68 (define @t147 () (forall @t145 @t142)) % 0.42/0.68 (define @t148 () (or @t136 @t147)) % 0.42/0.68 (define @t149 () (not @t8)) % 0.42/0.68 (define @t150 () (not @t11)) % 0.42/0.68 (define @t151 () (or @t150 @t149 @t6)) % 0.42/0.68 (define @t152 () (forall @t12 @t151)) % 0.42/0.68 (define @t153 () (@var "BOUND_VARIABLE_7742" $$unsorted)) % 0.42/0.68 (define @t154 () (= (tptp.v1_group_3 @t153 @t1) (forall @t138 (or @t136 @t135 (not (tptp.m1_subset_1 @t130 (tptp.u1_struct_0 @t153))) (tptp.r1_rlvect_1 @t153 @t132))))) % 0.42/0.68 (define @t155 () (not (tptp.m1_group_2 @t153 @t1))) % 0.42/0.68 (define @t156 () (or @t27 @t98 @t97 @t96 @t95 @t155 @t154)) % 0.42/0.68 (define @t157 () (or @t155 @t154)) % 0.42/0.68 (define @t158 () (or @t27 @t98 @t97 @t96 @t95 @t157)) % 0.42/0.68 (define @t159 () (@list @t1 @t153)) % 0.42/0.68 (define @t160 () (forall @t159 @t158)) % 0.42/0.68 (define @t161 () (@list @t153)) % 0.42/0.68 (define @t162 () (forall @t161 @t158)) % 0.42/0.68 (define @t163 () (forall @t161 @t157)) % 0.42/0.68 (define @t164 () (@list @t2)) % 0.42/0.68 (define @t165 () (or @t27 @t98 @t97 @t96 @t95 @t163)) % 0.42/0.68 (define @t166 () (= @t3 @t139)) % 0.42/0.68 (define @t167 () (forall @t21 (or @t115 @t166))) % 0.42/0.68 (define @t168 () (or @t27 @t98 @t97 @t96 @t95 @t167)) % 0.42/0.68 (define @t169 () (forall @t159 @t156)) % 0.42/0.68 (define @t170 () (@quantifiers_skolemize @t169 0)) % 0.42/0.68 (define @t171 () (@quantifiers_skolemize @t169 1)) % 0.42/0.68 (define @t172 () (tptp.u1_struct_0 @t171)) % 0.42/0.68 (define @t173 () (tptp.u1_struct_0 @t170)) % 0.42/0.68 (define @t174 () (forall @t138 (or (not (tptp.m1_subset_1 @t4 @t173)) (not (tptp.m1_subset_1 @t130 @t173)) (not (tptp.m1_subset_1 @t130 @t172)) (tptp.r1_rlvect_1 @t171 (tptp.k2_group_3 @t170 @t130 @t4))))) % 0.42/0.68 (define @t175 () (tptp.v1_group_3 @t171 @t170)) % 0.42/0.68 (define @t176 () (= @t175 @t174)) % 0.42/0.68 (define @t177 () (tptp.m1_group_2 @t171 @t170)) % 0.42/0.68 (define @t178 () (not @t177)) % 0.42/0.68 (define @t179 () (tptp.l1_group_1 @t170)) % 0.42/0.68 (define @t180 () (not @t179)) % 0.42/0.68 (define @t181 () (tptp.v4_group_1 @t170)) % 0.42/0.68 (define @t182 () (not @t181)) % 0.42/0.68 (define @t183 () (tptp.v3_group_1 @t170)) % 0.42/0.68 (define @t184 () (not @t183)) % 0.42/0.68 (define @t185 () (tptp.v1_group_1 @t170)) % 0.42/0.68 (define @t186 () (not @t185)) % 0.42/0.68 (define @t187 () (tptp.v3_struct_0 @t170)) % 0.42/0.68 (define @t188 () (or @t187 @t186 @t184 @t182 @t180 @t178 @t176)) % 0.42/0.68 (define @t189 () (@list true)) % 0.42/0.68 (define @t190 () (@list @t188)) % 0.42/0.68 (define @t191 () (@var "BOUND_VARIABLE_8145" $$unsorted)) % 0.42/0.68 (define @t192 () (tptp.v1_group_3 @t191 @t1)) % 0.42/0.68 (define @t193 () (not (forall @t138 (or @t136 @t135 (not (tptp.m1_subset_1 @t130 (tptp.u1_struct_0 @t191))) (tptp.r1_rlvect_1 @t191 @t132))))) % 0.42/0.68 (define @t194 () (not (tptp.m1_group_2 @t191 @t1))) % 0.42/0.68 (define @t195 () (or @t194 @t193 @t192)) % 0.42/0.68 (define @t196 () (or @t27 @t98 @t97 @t96 @t95 @t195)) % 0.42/0.68 (define @t197 () (forall (@list @t1 @t191) @t196)) % 0.42/0.68 (define @t198 () (@list @t191)) % 0.42/0.68 (define @t199 () (forall @t198 @t196)) % 0.42/0.68 (define @t200 () (forall @t198 @t195)) % 0.42/0.68 (define @t201 () (or @t27 @t98 @t97 @t96 @t95 @t200)) % 0.42/0.68 (define @t202 () (not @t139)) % 0.42/0.68 (define @t203 () (or @t115 @t202 @t3)) % 0.42/0.68 (define @t204 () (forall @t21 @t203)) % 0.42/0.68 (define @t205 () (or @t27 @t98 @t97 @t96 @t95 @t204)) % 0.42/0.68 (define @t206 () (=> @t139 @t3)) % 0.42/0.68 (define @t207 () (not @t174)) % 0.42/0.68 (define @t208 () (or @t187 @t186 @t184 @t182 @t180 @t178 @t207 @t175)) % 0.42/0.68 (define @t209 () (@list true false)) % 0.42/0.68 (define @t210 () (@quantifiers_skolemize @t174 0)) % 0.42/0.68 (define @t211 () (@quantifiers_skolemize @t174 1)) % 0.42/0.68 (define @t212 () (tptp.r1_rlvect_1 @t171 (tptp.k2_group_3 @t170 @t211 @t210))) % 0.42/0.68 (define @t213 () (tptp.m1_subset_1 @t211 @t172)) % 0.42/0.68 (define @t214 () (not @t213)) % 0.42/0.68 (define @t215 () (tptp.m1_subset_1 @t211 @t173)) % 0.42/0.68 (define @t216 () (not @t215)) % 0.42/0.68 (define @t217 () (tptp.m1_subset_1 @t210 @t173)) % 0.42/0.68 (define @t218 () (not @t217)) % 0.42/0.68 (define @t219 () (or @t218 @t216 @t214 @t212)) % 0.42/0.68 (define @t220 () (@list @t219)) % 0.42/0.68 (define @t221 () (not @t175)) % 0.42/0.68 (define @t222 () (or @t187 @t186 @t184 @t182 @t180 @t178 @t221 @t218 @t216 @t214 @t212)) % 0.42/0.68 (define @t223 () (not @t222)) % 0.42/0.68 (define @t224 () (forall @t102 @t99)) % 0.42/0.68 (assume @p1 @t33) % 0.42/0.68 (assume @p2 (exists @t31 (and @t37 @t36 @t35 @t34))) % 0.42/0.68 (assume @p3 (exists @t31 @t38)) % 0.42/0.68 (assume @p4 (forall @t39 (tptp.r1_tarski @t1 @t1))) % 0.42/0.68 (assume @p5 (forall @t31 (=> @t40 @t38))) % 0.42/0.68 (assume @p6 (exists @t31 (and @t37 @t36))) % 0.42/0.68 (assume @p7 (forall @t39 (exists @t16 (and @t44 @t43 @t42 @t41)))) % 0.42/0.68 (assume @p8 (exists @t31 @t40)) % 0.42/0.68 (assume @p9 (forall @t39 (exists @t16 (and @t44 @t43 @t42)))) % 0.42/0.68 (assume @p10 (forall @t39 (=> @t45 (not (tptp.r2_hidden @t2 @t1))))) % 0.42/0.68 (assume @p11 true) % 0.42/0.68 (assume @p12 (forall @t48 (=> @t44 (=> (and @t42 @t47) @t46)))) % 0.42/0.68 (assume @p13 (forall @t48 (=> @t49 @t43))) % 0.42/0.68 (assume @p14 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 0.42/0.68 (assume @p15 (forall @t31 (=> @t53 (exists @t21 (and (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t10)) @t51))))) % 0.42/0.68 (assume @p16 (forall @t39 (=> @t45 @t54))) % 0.42/0.68 (assume @p17 (forall @t39 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t2)) (tptp.r1_tarski @t1 @t2)))) % 0.42/0.68 (assume @p18 (forall @t48 (=> (and @t45 @t55) (tptp.m1_subset_1 @t1 @t4)))) % 0.42/0.68 (assume @p19 (forall @t48 (not (and @t45 @t55 @t56)))) % 0.42/0.68 (assume @p20 (forall @t39 (exists @t16 @t44))) % 0.42/0.68 (assume @p21 (forall @t39 (exists @t16 @t57))) % 0.42/0.68 (assume @p22 (forall @t48 (= @t57 @t44))) % 0.42/0.68 (assume @p23 (forall @t48 (=> @t57 @t49))) % 0.42/0.68 (assume @p24 (forall @t31 (=> @t34 @t36))) % 0.42/0.68 (assume @p25 (forall @t39 (=> @t51 (forall @t16 (=> @t44 (=> @t46 (and @t42 @t47 @t41))))))) % 0.42/0.68 (assume @p26 (forall @t39 (=> (and @t58 @t51) (forall @t16 (=> @t44 (=> @t46 (and @t42 (not @t56) @t47 @t41))))))) % 0.42/0.68 (assume @p27 (forall @t39 (=> (and @t58 @t64 @t63 @t62) (and (not (tptp.v3_struct_0 @t59)) @t60)))) % 0.42/0.68 (assume @p28 (exists @t31 @t34)) % 0.42/0.68 (assume @p29 (exists @t31 @t58)) % 0.42/0.68 (assume @p30 (forall @t39 (=> @t54 (or @t50 @t45)))) % 0.42/0.68 (assume @p31 (forall @t31 (=> @t34 (= @t1 tptp.k1_xboole_0)))) % 0.42/0.68 (assume @p32 (forall @t39 (not (and @t45 @t50)))) % 0.42/0.68 (assume @p33 (forall @t39 (not (and @t34 (not (= @t1 @t2)) @t50)))) % 0.42/0.68 (assume @p34 (forall @t39 (=> @t65 (forall (@list @t4 @t5) (=> (= @t59 (tptp.g1_group_1 @t4 @t5)) (and (= @t1 @t4) (= @t2 @t5))))))) % 0.42/0.68 (assume @p35 (exists @t31 @t52)) % 0.42/0.68 (assume @p36 (forall @t39 (=> @t65 (and @t60 (tptp.l1_group_1 @t59))))) % 0.42/0.68 (assume @p37 (forall @t31 (=> @t23 (and (tptp.v1_funct_1 @t67) (tptp.v1_funct_2 @t67 @t66 @t10) (tptp.m2_relset_1 @t67 @t66 @t10))))) % 0.42/0.68 (assume @p38 (forall @t31 (=> @t53 (not (tptp.v1_xboole_0 @t10))))) % 0.42/0.68 (assume @p39 (forall @t31 (=> @t73 (exists @t21 (and @t19 @t72 @t71 @t70 @t69 @t68))))) % 0.42/0.68 (assume @p40 (forall @t31 (=> @t73 (exists @t21 (and @t19 @t72 @t71 @t70 @t69 @t68 @t3))))) % 0.42/0.68 (assume @p41 (exists @t31 (and @t23 @t28 @t26 @t74 @t25 @t24))) % 0.42/0.68 (assume @p42 (exists @t31 (and @t52 @t28))) % 0.42/0.68 (assume @p43 (forall @t31 (=> @t23 (=> @t26 (= @t1 (tptp.g1_group_1 @t10 @t67)))))) % 0.42/0.68 (assume @p44 (exists @t31 @t23)) % 0.42/0.68 (assume @p45 (forall @t31 (=> @t75 (exists @t21 @t19)))) % 0.42/0.68 (assume @p46 (forall @t31 (exists @t21 (tptp.m1_subset_1 @t2 @t1)))) % 0.42/0.68 (assume @p47 (forall @t48 (=> (and @t28 @t25 @t24 @t23 (tptp.m1_subset_1 @t2 @t10) @t14) (tptp.m1_subset_1 (tptp.k2_group_3 @t1 @t2 @t4) @t10)))) % 0.42/0.68 (assume @p48 (forall @t31 (=> @t23 @t52))) % 0.42/0.68 (assume @p49 (forall @t31 (=> @t75 (forall @t21 (=> @t19 (and @t72 @t69 (tptp.l1_group_1 @t2))))))) % 0.42/0.68 (assume @p50 (forall @t31 (=> @t23 (=> (and @t28 @t25) (and @t28 @t74))))) % 0.42/0.68 (assume @p51 (forall @t31 (=> @t73 (forall @t21 (=> @t19 @t68))))) % 0.42/0.68 (assume @p52 (exists @t31 (and @t23 @t26))) % 0.42/0.68 (assume @p53 (exists @t31 (and @t23 @t28 @t26))) % 0.42/0.68 (assume @p54 @t80) % 0.42/0.68 (assume @p55 @t85) % 0.42/0.68 (step @p56 :rule aci_norm :args ((= @t101 @t99))) % 0.42/0.68 (step @p57 :rule cong :premises (@p56) :args (@t103)) % 0.42/0.68 (step @p58 :rule quant-merge-prenex :args ((= (forall @t31 @t105) @t103))) % 0.42/0.68 (step @p59 :rule alpha_equiv :args (@t106 (@list @t88 @t86 @t87) (@list @t2 @t108 @t107))) % 0.42/0.68 (step @p60 :rule refl :args (@t95)) % 0.42/0.68 (step @p61 :rule refl :args (@t96)) % 0.42/0.68 (step @p62 :rule refl :args (@t97)) % 0.42/0.68 (step @p63 :rule refl :args (@t98)) % 0.42/0.68 (step @p64 :rule refl :args (@t27)) % 0.42/0.68 (step @p65 :rule nary_cong :premises (@p64 @p63 @p62 @p61 @p60 @p59) :args (@t109)) % 0.42/0.68 (step @p66 :rule quant-miniscope-or :args ((= @t105 @t109))) % 0.42/0.68 (step @p67 :rule trans :premises (@p66 @p65)) % 0.42/0.68 (step @p68 :rule symm :premises (@p67)) % 0.42/0.68 (step @p69 :rule cong :premises (@p68) :args ((forall @t31 @t119))) % 0.42/0.68 (step @p70 :rule trans :premises (@p69 @p58)) % 0.42/0.68 (step @p71 :rule trans :premises (@p70 @p57)) % 0.42/0.68 (step @p72 :rule aci_norm :args ((= (or @t120 @t118) @t119))) % 0.42/0.68 (step @p73 :rule refl :args (@t118)) % 0.42/0.68 (step @p74 :rule bool-double-not-elim :args (@t27)) % 0.42/0.68 (step @p75 :rule nary_cong :premises (@p74 @p63 @p62 @p61 @p60) :args (@t122)) % 0.42/0.68 (step @p76 :rule aci_norm :args ((= (or @t121 (or @t98 (or @t97 (or @t96 @t95)))) @t122))) % 0.42/0.68 (step @p77 :rule trans :premises (@p76 @p75)) % 0.42/0.68 (step @p78 :rule bool-and-de-morgan :args (@t24 @t23 true)) % 0.42/0.68 (step @p79 :rule nary_cong :premises (@p62 @p78) :args ((or @t97 (not (and @t24 @t23))))) % 0.42/0.68 (step @p80 :rule bool-and-de-morgan :args (@t25 @t24 (and @t23))) % 0.42/0.68 (step @p81 :rule trans :premises (@p80 @p79)) % 0.42/0.68 (step @p82 :rule nary_cong :premises (@p63 @p81) :args ((or @t98 (not (and @t25 @t24 @t23))))) % 0.42/0.68 (step @p83 :rule bool-and-de-morgan :args (@t26 @t25 (and @t24 @t23))) % 0.42/0.68 (step @p84 :rule trans :premises (@p83 @p82)) % 0.42/0.68 (step @p85 :rule refl :args (@t121)) % 0.42/0.68 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t121 (not (and @t26 @t25 @t24 @t23))))) % 0.42/0.68 (step @p87 :rule bool-and-de-morgan :args (@t28 @t26 (and @t25 @t24 @t23))) % 0.42/0.68 (step @p88 :rule trans :premises (@p87 @p86)) % 0.42/0.68 (step @p89 :rule trans :premises (@p88 @p77)) % 0.42/0.68 (step @p90 :rule nary_cong :premises (@p89 @p73) :args ((or @t123 @t118))) % 0.42/0.68 (step @p91 :rule trans :premises (@p90 @p72)) % 0.42/0.68 (step @p92 :rule bool-impl-elim :args (@t29 @t118)) % 0.42/0.68 (step @p93 :rule trans :premises (@p92 @p91)) % 0.42/0.68 (step @p94 :rule cong :premises (@p93) :args ((forall @t31 (=> @t29 @t118)))) % 0.42/0.68 (step @p95 :rule trans :premises (@p94 @p71)) % 0.42/0.68 (step @p96 :rule aci_norm :args ((= @t125 @t116))) % 0.42/0.68 (step @p97 :rule cong :premises (@p96) :args (@t126)) % 0.42/0.68 (step @p98 :rule quant-merge-prenex :args ((= (forall @t21 @t128) @t126))) % 0.42/0.68 (step @p99 :rule alpha_equiv :args (@t129 (@list @t108 @t107) (@list @t4 @t130))) % 0.42/0.68 (step @p100 :rule refl :args (@t114)) % 0.42/0.68 (step @p101 :rule refl :args (@t115)) % 0.42/0.68 (step @p102 :rule nary_cong :premises (@p101 @p100 @p99) :args (@t131)) % 0.42/0.68 (step @p103 :rule quant-miniscope-or :args ((= @t128 @t131))) % 0.42/0.68 (step @p104 :rule trans :premises (@p103 @p102)) % 0.42/0.68 (step @p105 :rule symm :premises (@p104)) % 0.42/0.68 (step @p106 :rule cong :premises (@p105) :args ((forall @t21 @t140))) % 0.42/0.68 (step @p107 :rule trans :premises (@p106 @p98)) % 0.42/0.68 (step @p108 :rule trans :premises (@p107 @p97)) % 0.42/0.68 (step @p109 :rule aci_norm :args ((= (or @t115 (or @t114 @t139)) @t140))) % 0.42/0.68 (step @p110 :rule bool-impl-elim :args (@t3 @t139)) % 0.42/0.68 (step @p111 :rule nary_cong :premises (@p101 @p110) :args ((or @t115 @t141))) % 0.42/0.68 (step @p112 :rule trans :premises (@p111 @p109)) % 0.42/0.68 (step @p113 :rule bool-impl-elim :args (@t19 @t141)) % 0.42/0.68 (step @p114 :rule trans :premises (@p113 @p112)) % 0.42/0.68 (step @p115 :rule cong :premises (@p114) :args ((forall @t21 (=> @t19 @t141)))) % 0.42/0.68 (step @p116 :rule trans :premises (@p115 @p108)) % 0.42/0.68 (step @p117 :rule aci_norm :args ((= @t143 @t137))) % 0.42/0.68 (step @p118 :rule cong :premises (@p117) :args (@t144)) % 0.42/0.68 (step @p119 :rule quant-merge-prenex :args ((= (forall @t16 @t146) @t144))) % 0.42/0.68 (step @p120 :rule alpha_equiv :args (@t147 (@list @t130) (@list @t5))) % 0.42/0.68 (step @p121 :rule refl :args (@t136)) % 0.42/0.68 (step @p122 :rule nary_cong :premises (@p121 @p120) :args (@t148)) % 0.42/0.68 (step @p123 :rule quant-miniscope-or :args ((= @t146 @t148))) % 0.42/0.68 (step @p124 :rule trans :premises (@p123 @p122)) % 0.42/0.68 (step @p125 :rule symm :premises (@p124)) % 0.42/0.68 (step @p126 :rule cong :premises (@p125) :args ((forall @t16 (or @t136 @t152)))) % 0.42/0.68 (step @p127 :rule trans :premises (@p126 @p119)) % 0.42/0.68 (step @p128 :rule trans :premises (@p127 @p118)) % 0.42/0.68 (step @p129 :rule bool-impl-elim :args (@t14 @t152)) % 0.42/0.68 (step @p130 :rule cong :premises (@p129) :args ((forall @t16 (=> @t14 @t152)))) % 0.42/0.68 (step @p131 :rule trans :premises (@p130 @p128)) % 0.42/0.68 (step @p132 :rule aci_norm :args ((= (or @t150 (or @t149 @t6)) @t151))) % 0.42/0.68 (step @p133 :rule bool-impl-elim :args (@t8 @t6)) % 0.42/0.68 (step @p134 :rule refl :args (@t150)) % 0.42/0.68 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or @t150 @t9))) % 0.42/0.68 (step @p136 :rule trans :premises (@p135 @p132)) % 0.42/0.68 (step @p137 :rule bool-impl-elim :args (@t11 @t9)) % 0.42/0.68 (step @p138 :rule trans :premises (@p137 @p136)) % 0.42/0.68 (step @p139 :rule cong :premises (@p138) :args (@t13)) % 0.42/0.68 (step @p140 :rule refl :args (@t14)) % 0.42/0.68 (step @p141 :rule cong :premises (@p140 @p139) :args (@t15)) % 0.42/0.68 (step @p142 :rule cong :premises (@p141) :args (@t17)) % 0.42/0.68 (step @p143 :rule trans :premises (@p142 @p131)) % 0.42/0.68 (step @p144 :rule refl :args (@t3)) % 0.42/0.68 (step @p145 :rule cong :premises (@p144 @p143) :args (@t81)) % 0.42/0.68 (step @p146 :rule refl :args (@t19)) % 0.42/0.68 (step @p147 :rule cong :premises (@p146 @p145) :args (@t82)) % 0.42/0.68 (step @p148 :rule cong :premises (@p147) :args (@t83)) % 0.42/0.68 (step @p149 :rule trans :premises (@p148 @p116)) % 0.42/0.68 (step @p150 :rule refl :args (@t29)) % 0.42/0.68 (step @p151 :rule cong :premises (@p150 @p149) :args (@t84)) % 0.42/0.68 (step @p152 :rule cong :premises (@p151) :args (@t85)) % 0.42/0.68 (step @p153 :rule trans :premises (@p152 @p95)) % 0.42/0.68 (step @p154 :rule eq_resolve :premises (@p55 @p153)) % 0.42/0.68 (step @p155 :rule aci_norm :args ((= @t158 @t156))) % 0.42/0.68 (step @p156 :rule cong :premises (@p155) :args (@t160)) % 0.42/0.68 (step @p157 :rule quant-merge-prenex :args ((= (forall @t31 @t162) @t160))) % 0.42/0.68 (step @p158 :rule alpha_equiv :args (@t163 (@list @t153) @t164)) % 0.42/0.68 (step @p159 :rule nary_cong :premises (@p64 @p63 @p62 @p61 @p60 @p158) :args (@t165)) % 0.42/0.68 (step @p160 :rule quant-miniscope-or :args ((= @t162 @t165))) % 0.42/0.68 (step @p161 :rule trans :premises (@p160 @p159)) % 0.42/0.68 (step @p162 :rule symm :premises (@p161)) % 0.42/0.68 (step @p163 :rule cong :premises (@p162) :args ((forall @t31 @t168))) % 0.42/0.68 (step @p164 :rule trans :premises (@p163 @p157)) % 0.42/0.68 (step @p165 :rule trans :premises (@p164 @p156)) % 0.42/0.68 (step @p166 :rule aci_norm :args ((= (or @t120 @t167) @t168))) % 0.42/0.68 (step @p167 :rule refl :args (@t167)) % 0.42/0.68 (step @p168 :rule nary_cong :premises (@p89 @p167) :args ((or @t123 @t167))) % 0.42/0.68 (step @p169 :rule trans :premises (@p168 @p166)) % 0.42/0.68 (step @p170 :rule bool-impl-elim :args (@t29 @t167)) % 0.42/0.68 (step @p171 :rule trans :premises (@p170 @p169)) % 0.42/0.68 (step @p172 :rule cong :premises (@p171) :args ((forall @t31 (=> @t29 @t167)))) % 0.42/0.68 (step @p173 :rule trans :premises (@p172 @p165)) % 0.42/0.68 (step @p174 :rule bool-impl-elim :args (@t19 @t166)) % 0.42/0.68 (step @p175 :rule cong :premises (@p174) :args ((forall @t21 (=> @t19 @t166)))) % 0.42/0.68 (step @p176 :rule eq-symm :args (@t139 @t3)) % 0.42/0.68 (step @p177 :rule cong :premises (@p143 @p144) :args (@t18)) % 0.42/0.68 (step @p178 :rule trans :premises (@p177 @p176)) % 0.42/0.68 (step @p179 :rule cong :premises (@p146 @p178) :args (@t20)) % 0.42/0.68 (step @p180 :rule cong :premises (@p179) :args (@t22)) % 0.42/0.68 (step @p181 :rule trans :premises (@p180 @p175)) % 0.42/0.68 (step @p182 :rule cong :premises (@p150 @p181) :args (@t30)) % 0.42/0.68 (step @p183 :rule cong :premises (@p182) :args (@t32)) % 0.42/0.68 (step @p184 :rule trans :premises (@p183 @p173)) % 0.42/0.68 (step @p185 :rule cong :premises (@p184) :args (@t33)) % 0.42/0.68 (step @p186 :rule eq_resolve :premises (@p1 @p185)) % 0.42/0.68 (step @p187 :rule skolemize :premises (@p186)) % 0.42/0.68 (step @p188 :rule cnf_or_neg :args (@t188 6)) % 0.42/0.68 (step @p189 :rule chain_m_resolution :premises (@p188 @p187) :args ((not @t176) @t189 @t190)) % 0.42/0.68 (step @p190 :rule cnf_equiv_neg1 :args (@t176)) % 0.42/0.68 (step @p191 :rule reordering :premises (@p190) :args ((or @t175 @t174 @t176))) % 0.42/0.68 (step @p192 :rule cnf_or_neg :args (@t188 0)) % 0.42/0.68 (step @p193 :rule chain_m_resolution :premises (@p192 @p187) :args ((not @t187) @t189 @t190)) % 0.42/0.68 (step @p194 :rule bool-double-not-elim :args (@t185)) % 0.42/0.68 (step @p195 :rule refl :args (@t188)) % 0.42/0.68 (step @p196 :rule nary_cong :premises (@p195 @p194) :args ((or @t188 (not @t186)))) % 0.42/0.68 (step @p197 :rule cnf_or_neg :args (@t188 1)) % 0.42/0.68 (step @p198 :rule eq_resolve :premises (@p197 @p196)) % 0.42/0.68 (step @p199 :rule reordering :premises (@p198) :args ((or @t185 @t188))) % 0.42/0.68 (step @p200 :rule chain_m_resolution :premises (@p199 @p187) :args (@t185 @t189 @t190)) % 0.42/0.68 (step @p201 :rule bool-double-not-elim :args (@t183)) % 0.42/0.68 (step @p202 :rule nary_cong :premises (@p195 @p201) :args ((or @t188 (not @t184)))) % 0.42/0.68 (step @p203 :rule cnf_or_neg :args (@t188 2)) % 0.42/0.68 (step @p204 :rule eq_resolve :premises (@p203 @p202)) % 0.42/0.68 (step @p205 :rule reordering :premises (@p204) :args ((or @t183 @t188))) % 0.42/0.68 (step @p206 :rule chain_m_resolution :premises (@p205 @p187) :args (@t183 @t189 @t190)) % 0.42/0.68 (step @p207 :rule bool-double-not-elim :args (@t181)) % 0.42/0.68 (step @p208 :rule nary_cong :premises (@p195 @p207) :args ((or @t188 (not @t182)))) % 0.42/0.68 (step @p209 :rule cnf_or_neg :args (@t188 3)) % 0.42/0.68 (step @p210 :rule eq_resolve :premises (@p209 @p208)) % 0.42/0.68 (step @p211 :rule reordering :premises (@p210) :args ((or @t181 @t188))) % 0.42/0.68 (step @p212 :rule chain_m_resolution :premises (@p211 @p187) :args (@t181 @t189 @t190)) % 0.42/0.68 (step @p213 :rule bool-double-not-elim :args (@t179)) % 0.42/0.68 (step @p214 :rule nary_cong :premises (@p195 @p213) :args ((or @t188 (not @t180)))) % 0.42/0.68 (step @p215 :rule cnf_or_neg :args (@t188 4)) % 0.42/0.68 (step @p216 :rule eq_resolve :premises (@p215 @p214)) % 0.42/0.68 (step @p217 :rule reordering :premises (@p216) :args ((or @t179 @t188))) % 0.42/0.68 (step @p218 :rule chain_m_resolution :premises (@p217 @p187) :args (@t179 @t189 @t190)) % 0.42/0.68 (step @p219 :rule bool-double-not-elim :args (@t177)) % 0.42/0.68 (step @p220 :rule nary_cong :premises (@p195 @p219) :args ((or @t188 (not @t178)))) % 0.42/0.68 (step @p221 :rule cnf_or_neg :args (@t188 5)) % 0.42/0.68 (step @p222 :rule eq_resolve :premises (@p221 @p220)) % 0.42/0.68 (step @p223 :rule reordering :premises (@p222) :args ((or @t177 @t188))) % 0.42/0.68 (step @p224 :rule chain_m_resolution :premises (@p223 @p187) :args (@t177 @t189 @t190)) % 0.42/0.68 (step @p225 :rule aci_norm :args ((= @t196 (or @t27 @t98 @t97 @t96 @t95 @t194 @t193 @t192)))) % 0.42/0.68 (step @p226 :rule cong :premises (@p225) :args (@t197)) % 0.42/0.68 (step @p227 :rule quant-merge-prenex :args ((= (forall @t31 @t199) @t197))) % 0.42/0.68 (step @p228 :rule alpha_equiv :args (@t200 (@list @t191) @t164)) % 0.42/0.68 (step @p229 :rule nary_cong :premises (@p64 @p63 @p62 @p61 @p60 @p228) :args (@t201)) % 0.42/0.68 (step @p230 :rule quant-miniscope-or :args ((= @t199 @t201))) % 0.42/0.68 (step @p231 :rule trans :premises (@p230 @p229)) % 0.42/0.68 (step @p232 :rule symm :premises (@p231)) % 0.42/0.68 (step @p233 :rule cong :premises (@p232) :args ((forall @t31 @t205))) % 0.42/0.68 (step @p234 :rule trans :premises (@p233 @p227)) % 0.42/0.68 (step @p235 :rule trans :premises (@p234 @p226)) % 0.42/0.68 (step @p236 :rule aci_norm :args ((= (or @t120 @t204) @t205))) % 0.42/0.68 (step @p237 :rule refl :args (@t204)) % 0.42/0.68 (step @p238 :rule nary_cong :premises (@p89 @p237) :args ((or @t123 @t204))) % 0.42/0.68 (step @p239 :rule trans :premises (@p238 @p236)) % 0.42/0.68 (step @p240 :rule bool-impl-elim :args (@t29 @t204)) % 0.42/0.68 (step @p241 :rule trans :premises (@p240 @p239)) % 0.42/0.68 (step @p242 :rule cong :premises (@p241) :args ((forall @t31 (=> @t29 @t204)))) % 0.42/0.68 (step @p243 :rule trans :premises (@p242 @p235)) % 0.42/0.68 (step @p244 :rule aci_norm :args ((= (or @t115 (or @t202 @t3)) @t203))) % 0.42/0.68 (step @p245 :rule bool-impl-elim :args (@t139 @t3)) % 0.42/0.68 (step @p246 :rule nary_cong :premises (@p101 @p245) :args ((or @t115 @t206))) % 0.42/0.68 (step @p247 :rule trans :premises (@p246 @p244)) % 0.42/0.68 (step @p248 :rule bool-impl-elim :args (@t19 @t206)) % 0.42/0.68 (step @p249 :rule trans :premises (@p248 @p247)) % 0.42/0.68 (step @p250 :rule cong :premises (@p249) :args ((forall @t21 (=> @t19 @t206)))) % 0.42/0.68 (step @p251 :rule cong :premises (@p143 @p144) :args (@t76)) % 0.42/0.68 (step @p252 :rule cong :premises (@p146 @p251) :args (@t77)) % 0.42/0.68 (step @p253 :rule cong :premises (@p252) :args (@t78)) % 0.42/0.68 (step @p254 :rule trans :premises (@p253 @p250)) % 0.42/0.68 (step @p255 :rule cong :premises (@p150 @p254) :args (@t79)) % 0.42/0.68 (step @p256 :rule cong :premises (@p255) :args (@t80)) % 0.42/0.68 (step @p257 :rule trans :premises (@p256 @p243)) % 0.42/0.68 (step @p258 :rule eq_resolve :premises (@p54 @p257)) % 0.42/0.68 (step @p259 :rule instantiate :premises (@p258) :args ((@list @t170 @t171))) % 0.42/0.68 (step @p260 :rule cnf_or_pos :args (@t208)) % 0.42/0.68 (step @p261 :rule reordering :premises (@p260) :args ((or @t187 @t186 @t184 @t182 @t180 @t178 @t175 @t207 (not @t208)))) % 0.42/0.68 (step @p262 :rule chain_m_resolution :premises (@p261 @p259 @p224 @p218 @p212 @p206 @p200 @p193 @p191 @p189) :args (@t175 (@list false false false false false false true false true) (@list @t208 @t177 @t179 @t181 @t183 @t185 @t187 @t174 @t176))) % 0.42/0.68 (step @p263 :rule cnf_equiv_neg2 :args (@t176)) % 0.42/0.68 (step @p264 :rule chain_m_resolution :premises (@p263 @p189 @p262) :args (@t207 @t209 (@list @t176 @t175))) % 0.42/0.68 (step @p265 :rule skolemize :premises (@p264)) % 0.42/0.68 (step @p266 :rule cnf_or_neg :args (@t219 3)) % 0.42/0.68 (step @p267 :rule chain_m_resolution :premises (@p266 @p265) :args ((not @t212) @t189 @t220)) % 0.42/0.68 (step @p268 :rule bool-double-not-elim :args (@t213)) % 0.42/0.68 (step @p269 :rule refl :args (@t219)) % 0.42/0.68 (step @p270 :rule nary_cong :premises (@p269 @p268) :args ((or @t219 (not @t214)))) % 0.42/0.68 (step @p271 :rule cnf_or_neg :args (@t219 2)) % 0.42/0.68 (step @p272 :rule eq_resolve :premises (@p271 @p270)) % 0.42/0.68 (step @p273 :rule reordering :premises (@p272) :args ((or @t213 @t219))) % 0.42/0.68 (step @p274 :rule chain_m_resolution :premises (@p273 @p265) :args (@t213 @t189 @t220)) % 0.42/0.68 (step @p275 :rule bool-double-not-elim :args (@t215)) % 0.42/0.68 (step @p276 :rule nary_cong :premises (@p269 @p275) :args ((or @t219 (not @t216)))) % 0.42/0.68 (step @p277 :rule cnf_or_neg :args (@t219 1)) % 0.42/0.68 (step @p278 :rule eq_resolve :premises (@p277 @p276)) % 0.42/0.68 (step @p279 :rule reordering :premises (@p278) :args ((or @t215 @t219))) % 0.42/0.68 (step @p280 :rule chain_m_resolution :premises (@p279 @p265) :args (@t215 @t189 @t220)) % 0.42/0.68 (step @p281 :rule bool-double-not-elim :args (@t217)) % 0.42/0.68 (step @p282 :rule nary_cong :premises (@p269 @p281) :args ((or @t219 (not @t218)))) % 0.42/0.68 (step @p283 :rule cnf_or_neg :args (@t219 0)) % 0.42/0.68 (step @p284 :rule eq_resolve :premises (@p283 @p282)) % 0.42/0.68 (step @p285 :rule reordering :premises (@p284) :args ((or @t217 @t219))) % 0.42/0.68 (step @p286 :rule chain_m_resolution :premises (@p285 @p265) :args (@t217 @t189 @t220)) % 0.42/0.68 (step @p287 :rule cnf_or_pos :args (@t222)) % 0.42/0.68 (step @p288 :rule reordering :premises (@p287) :args ((or @t187 @t186 @t184 @t182 @t180 @t178 @t221 @t218 @t216 @t214 @t212 @t223))) % 0.42/0.68 (step @p289 :rule chain_m_resolution :premises (@p288 @p193 @p200 @p206 @p212 @p218 @p224 @p262 @p286 @p280 @p274 @p267) :args (@t223 (@list true false false false false false false false false false true) (@list @t187 @t185 @t183 @t181 @t179 @t177 @t175 @t217 @t215 @t213 @t212))) % 0.42/0.68 (assume-push @p296 @t224) % 0.42/0.68 (step @p291 :rule instantiate :premises (@p154) :args ((@list @t170 @t171 @t210 @t211))) % 0.42/0.68 (step-pop @p297 :rule scope :premises (@p291)) % 0.42/0.68 (step @p292 :rule process_scope :premises (@p297) :args (@t222)) % 0.42/0.68 (step @p294 :rule implies_elim :premises (@p292)) % 0.42/0.68 (step @p295 false :rule chain_m_resolution :premises (@p294 @p289 @p154) :args (false @t209 (@list @t222 @t224))) % 0.42/0.68 ) % 0.42/0.68 % SZS output end Proof % 0.42/0.68 % cvc5 exiting %------------------------------------------------------------------------------