%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU407+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 : n009.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 08:51:39 AM UTC 2026 % Result : Theorem 16.11s 16.36s % Output : Proof 16.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU407+1 : TPTP v9.2.1. Released v3.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.36 % Computer : n009.cluster.edu % 0.17/0.36 % Model : x86_64 x86_64 % 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.36 % Memory : 8042.1875MB % 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.36 % CPULimit : 300 % 0.17/0.36 % WCLimit : 300 % 0.17/0.36 % DateTime : Tue Jun 2 17:09:29 EDT 2026 % 0.17/0.36 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 16.11/16.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.11/16.36 --- Run --no-e-matching --full-saturate-quant at 6... % 16.11/16.36 % SZS status Theorem % 16.11/16.36 % SZS output start Proof % 16.11/16.36 ( % 16.11/16.36 (declare-sort $$unsorted 0) % 16.11/16.36 (declare-const tptp.k1_xboole_0 $$unsorted) % 16.11/16.36 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.k5_relat_1 (-> $$unsorted $$unsorted $$unsorted)) % 16.11/16.36 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.k2_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 16.11/16.36 (declare-const tptp.k4_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 16.11/16.36 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 16.11/16.36 (declare-const tptp.v1_orders_2 (-> $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.k7_relset_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 16.11/16.36 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.k1_latsum_1 (-> $$unsorted $$unsorted $$unsorted)) % 16.11/16.36 (declare-const tptp.l1_orders_2 (-> $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 16.11/16.36 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.u1_orders_2 (-> $$unsorted $$unsorted)) % 16.11/16.36 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 16.11/16.36 (declare-const tptp.g1_orders_2 (-> $$unsorted $$unsorted $$unsorted)) % 16.11/16.36 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 16.11/16.36 (define @t1 () (@var "A" $$unsorted)) % 16.11/16.36 (define @t2 () (tptp.u1_struct_0 @t1)) % 16.11/16.36 (define @t3 () (@var "B" $$unsorted)) % 16.11/16.36 (define @t4 () (tptp.u1_struct_0 @t3)) % 16.11/16.36 (define @t5 () (tptp.k4_xboole_0 @t4 @t2)) % 16.11/16.36 (define @t6 () (@var "C" $$unsorted)) % 16.11/16.36 (define @t7 () (tptp.r2_hidden @t6 @t5)) % 16.11/16.36 (define @t8 () (tptp.r2_hidden @t6 @t2)) % 16.11/16.36 (define @t9 () (or @t8 @t7)) % 16.11/16.36 (define @t10 () (tptp.k1_latsum_1 @t1 @t3)) % 16.11/16.36 (define @t11 () (tptp.u1_struct_0 @t10)) % 16.11/16.36 (define @t12 () (tptp.m1_subset_1 @t6 @t11)) % 16.11/16.36 (define @t13 () (@list @t6)) % 16.11/16.36 (define @t14 () (forall @t13 (=> @t12 @t9))) % 16.11/16.36 (define @t15 () (tptp.l1_orders_2 @t3)) % 16.11/16.36 (define @t16 () (tptp.v3_struct_0 @t3)) % 16.11/16.36 (define @t17 () (not @t16)) % 16.11/16.36 (define @t18 () (and @t17 @t15)) % 16.11/16.36 (define @t19 () (=> @t18 @t14)) % 16.11/16.36 (define @t20 () (@list @t3)) % 16.11/16.36 (define @t21 () (forall @t20 @t19)) % 16.11/16.36 (define @t22 () (tptp.l1_orders_2 @t1)) % 16.11/16.36 (define @t23 () (tptp.v3_struct_0 @t1)) % 16.11/16.36 (define @t24 () (not @t23)) % 16.11/16.36 (define @t25 () (and @t24 @t22)) % 16.11/16.36 (define @t26 () (=> @t25 @t21)) % 16.11/16.36 (define @t27 () (@list @t1)) % 16.11/16.36 (define @t28 () (forall @t27 @t26)) % 16.11/16.36 (define @t29 () (not @t28)) % 16.11/16.36 (define @t30 () (tptp.u1_orders_2 @t1)) % 16.11/16.36 (define @t31 () (tptp.r2_hidden @t1 @t3)) % 16.11/16.36 (define @t32 () (@list @t1 @t3)) % 16.11/16.36 (define @t33 () (tptp.m1_subset_1 @t6 (tptp.k1_zfmisc_1 (tptp.k2_zfmisc_1 @t1 @t3)))) % 16.11/16.36 (define @t34 () (@list @t1 @t3 @t6)) % 16.11/16.36 (define @t35 () (tptp.k2_xboole_0 @t3 @t1)) % 16.11/16.36 (define @t36 () (tptp.k2_xboole_0 @t1 @t3)) % 16.11/16.36 (define @t37 () (tptp.u1_orders_2 @t3)) % 16.11/16.36 (define @t38 () (tptp.k2_xboole_0 (tptp.k2_xboole_0 @t30 @t37) (tptp.k7_relset_1 @t2 @t2 @t4 @t4 @t30 @t37))) % 16.11/16.36 (define @t39 () (tptp.k2_xboole_0 @t2 @t4)) % 16.11/16.36 (define @t40 () (= (= @t6 @t10) (and (= (tptp.u1_struct_0 @t6) @t39) (= (tptp.u1_orders_2 @t6) @t38)))) % 16.11/16.36 (define @t41 () (tptp.l1_orders_2 @t6)) % 16.11/16.36 (define @t42 () (tptp.v1_orders_2 @t6)) % 16.11/16.36 (define @t43 () (and @t42 @t41)) % 16.11/16.36 (define @t44 () (forall @t13 (=> @t43 @t40))) % 16.11/16.36 (define @t45 () (=> @t15 @t44)) % 16.11/16.36 (define @t46 () (forall @t20 @t45)) % 16.11/16.36 (define @t47 () (=> @t22 @t46)) % 16.11/16.36 (define @t48 () (forall @t27 @t47)) % 16.11/16.36 (define @t49 () (@var "D" $$unsorted)) % 16.11/16.36 (define @t50 () (@list @t49)) % 16.11/16.36 (define @t51 () (forall @t34 (= (= @t6 @t36) (forall @t50 (= (tptp.r2_hidden @t49 @t6) (or (tptp.r2_hidden @t49 @t1) (tptp.r2_hidden @t49 @t3))))))) % 16.11/16.36 (define @t52 () (tptp.g1_orders_2 @t1 @t3)) % 16.11/16.36 (define @t53 () (tptp.m1_relset_1 @t3 @t1 @t1)) % 16.11/16.36 (define @t54 () (tptp.v1_orders_2 @t10)) % 16.11/16.36 (define @t55 () (and @t54 (tptp.l1_orders_2 @t10))) % 16.11/16.36 (define @t56 () (and @t22 @t15)) % 16.11/16.36 (define @t57 () (forall @t32 (=> @t56 @t55))) % 16.11/16.36 (define @t58 () (@var "F" $$unsorted)) % 16.11/16.36 (define @t59 () (@var "E" $$unsorted)) % 16.11/16.36 (define @t60 () (tptp.k7_relset_1 @t1 @t3 @t6 @t49 @t59 @t58)) % 16.11/16.36 (define @t61 () (and (tptp.m1_relset_1 @t59 @t1 @t3) (tptp.m1_relset_1 @t58 @t6 @t49))) % 16.11/16.36 (define @t62 () (@list @t1 @t3 @t6 @t49 @t59 @t58)) % 16.11/16.36 (define @t63 () (tptp.l1_struct_0 @t1)) % 16.11/16.36 (define @t64 () (forall @t27 (=> @t22 @t63))) % 16.11/16.36 (define @t65 () (tptp.m2_relset_1 @t6 @t1 @t3)) % 16.11/16.36 (define @t66 () (tptp.m1_relset_1 @t6 @t1 @t3)) % 16.11/16.36 (define @t67 () (and (not (tptp.v3_struct_0 @t10)) @t54)) % 16.11/16.36 (define @t68 () (and @t22 @t17 @t15)) % 16.11/16.36 (define @t69 () (forall @t32 (=> @t68 @t67))) % 16.11/16.36 (define @t70 () (not (tptp.v1_xboole_0 @t2))) % 16.11/16.36 (define @t71 () (and @t24 @t63)) % 16.11/16.36 (define @t72 () (forall @t27 (=> @t71 @t70))) % 16.11/16.36 (define @t73 () (tptp.v1_xboole_0 @t1)) % 16.11/16.36 (define @t74 () (not @t73)) % 16.11/16.36 (define @t75 () (not (tptp.v1_xboole_0 @t35))) % 16.11/16.36 (define @t76 () (forall @t32 (=> @t74 @t75))) % 16.11/16.36 (define @t77 () (tptp.v1_xboole_0 @t3)) % 16.11/16.36 (define @t78 () (tptp.k2_xboole_0 @t1 tptp.k1_xboole_0)) % 16.11/16.36 (define @t79 () (forall @t27 (= @t78 @t1))) % 16.11/16.36 (define @t80 () (tptp.m1_subset_1 @t1 @t3)) % 16.11/16.36 (define @t81 () (or @t77 @t31)) % 16.11/16.36 (define @t82 () (forall @t32 (=> @t80 @t81))) % 16.11/16.36 (define @t83 () (tptp.k2_xboole_0 @t1 (tptp.k4_xboole_0 @t3 @t1))) % 16.11/16.36 (define @t84 () (forall @t32 (= @t83 @t36))) % 16.11/16.36 (define @t85 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t6))) % 16.11/16.36 (define @t86 () (@var "BOUND_VARIABLE_7702" $$unsorted)) % 16.11/16.36 (define @t87 () (@var "BOUND_VARIABLE_7704" $$unsorted)) % 16.11/16.36 (define @t88 () (tptp.r2_hidden @t87 (tptp.k4_xboole_0 (tptp.u1_struct_0 @t86) @t2))) % 16.11/16.36 (define @t89 () (tptp.r2_hidden @t87 @t2)) % 16.11/16.36 (define @t90 () (not (tptp.m1_subset_1 @t87 (tptp.u1_struct_0 (tptp.k1_latsum_1 @t1 @t86))))) % 16.11/16.36 (define @t91 () (not (tptp.l1_orders_2 @t86))) % 16.11/16.36 (define @t92 () (tptp.v3_struct_0 @t86)) % 16.11/16.36 (define @t93 () (not @t22)) % 16.11/16.36 (define @t94 () (or @t23 @t93 @t92 @t91 @t90 @t89 @t88)) % 16.11/16.36 (define @t95 () (@list @t1 @t86 @t87)) % 16.11/16.36 (define @t96 () (forall @t95 @t94)) % 16.11/16.36 (define @t97 () (@quantifiers_skolemize @t96 1)) % 16.11/16.36 (define @t98 () (@quantifiers_skolemize @t96 0)) % 16.11/16.36 (define @t99 () (tptp.k1_latsum_1 @t98 @t97)) % 16.11/16.36 (define @t100 () (tptp.u1_struct_0 @t99)) % 16.11/16.36 (define @t101 () (not @t63)) % 16.11/16.36 (define @t102 () (not @t24)) % 16.11/16.36 (define @t103 () (@list @t99)) % 16.11/16.36 (define @t104 () (not @t15)) % 16.11/16.36 (define @t105 () (@list @t98 @t97)) % 16.11/16.36 (define @t106 () (or @t92 @t91 @t90 @t89 @t88)) % 16.11/16.36 (define @t107 () (or @t23 @t93 @t106)) % 16.11/16.36 (define @t108 () (forall @t95 @t107)) % 16.11/16.36 (define @t109 () (@list @t86 @t87)) % 16.11/16.36 (define @t110 () (forall @t109 @t107)) % 16.11/16.36 (define @t111 () (forall @t109 @t106)) % 16.11/16.36 (define @t112 () (@var "BOUND_VARIABLE_7683" $$unsorted)) % 16.11/16.36 (define @t113 () (or @t23 @t93 @t111)) % 16.11/16.36 (define @t114 () (tptp.r2_hidden @t112 @t5)) % 16.11/16.36 (define @t115 () (tptp.r2_hidden @t112 @t2)) % 16.11/16.36 (define @t116 () (not (tptp.m1_subset_1 @t112 @t11))) % 16.11/16.36 (define @t117 () (or @t16 @t104 @t116 @t115 @t114)) % 16.11/16.36 (define @t118 () (@list @t3 @t112)) % 16.11/16.36 (define @t119 () (forall @t118 @t117)) % 16.11/16.36 (define @t120 () (or @t23 @t93 @t119)) % 16.11/16.36 (define @t121 () (or @t116 @t115 @t114)) % 16.11/16.36 (define @t122 () (or @t16 @t104 @t121)) % 16.11/16.36 (define @t123 () (forall @t118 @t122)) % 16.11/16.36 (define @t124 () (@list @t112)) % 16.11/16.36 (define @t125 () (forall @t124 @t122)) % 16.11/16.36 (define @t126 () (forall @t124 @t121)) % 16.11/16.36 (define @t127 () (@list @t6)) % 16.11/16.36 (define @t128 () (or @t16 @t104 @t126)) % 16.11/16.36 (define @t129 () (not @t12)) % 16.11/16.36 (define @t130 () (or @t129 @t8 @t7)) % 16.11/16.36 (define @t131 () (forall @t13 @t130)) % 16.11/16.36 (define @t132 () (or @t16 @t104 @t131)) % 16.11/16.36 (define @t133 () (not @t17)) % 16.11/16.36 (define @t134 () (or @t133 @t104)) % 16.11/16.36 (define @t135 () (not @t18)) % 16.11/16.36 (define @t136 () (tptp.l1_orders_2 @t97)) % 16.11/16.36 (define @t137 () (tptp.u1_struct_0 @t98)) % 16.11/16.36 (define @t138 () (tptp.u1_struct_0 @t97)) % 16.11/16.36 (define @t139 () (tptp.k4_xboole_0 @t138 @t137)) % 16.11/16.36 (define @t140 () (@quantifiers_skolemize @t96 2)) % 16.11/16.36 (define @t141 () (tptp.r2_hidden @t140 @t139)) % 16.11/16.36 (define @t142 () (tptp.r2_hidden @t140 @t137)) % 16.11/16.36 (define @t143 () (tptp.m1_subset_1 @t140 @t100)) % 16.11/16.36 (define @t144 () (not @t143)) % 16.11/16.36 (define @t145 () (not @t136)) % 16.11/16.36 (define @t146 () (tptp.v3_struct_0 @t97)) % 16.11/16.36 (define @t147 () (tptp.l1_orders_2 @t98)) % 16.11/16.36 (define @t148 () (not @t147)) % 16.11/16.36 (define @t149 () (or (tptp.v3_struct_0 @t98) @t148 @t146 @t145 @t144 @t142 @t141)) % 16.11/16.36 (define @t150 () (@list true)) % 16.11/16.36 (define @t151 () (@list @t149)) % 16.11/16.36 (define @t152 () (tptp.l1_orders_2 @t99)) % 16.11/16.36 (define @t153 () (tptp.v1_orders_2 @t99)) % 16.11/16.36 (define @t154 () (and @t153 @t152)) % 16.11/16.36 (define @t155 () (or @t148 @t145 @t154)) % 16.11/16.36 (define @t156 () (not @t154)) % 16.11/16.36 (define @t157 () (@list false)) % 16.11/16.36 (define @t158 () (@list @t154)) % 16.11/16.36 (define @t159 () (tptp.l1_struct_0 @t99)) % 16.11/16.36 (define @t160 () (not @t152)) % 16.11/16.36 (define @t161 () (or @t160 @t159)) % 16.11/16.36 (define @t162 () (or @t93 @t133 @t104)) % 16.11/16.36 (define @t163 () (tptp.v3_struct_0 @t99)) % 16.11/16.36 (define @t164 () (not @t163)) % 16.11/16.36 (define @t165 () (and @t164 @t153)) % 16.11/16.36 (define @t166 () (or @t148 @t146 @t145 @t165)) % 16.11/16.36 (define @t167 () (tptp.v1_xboole_0 @t100)) % 16.11/16.36 (define @t168 () (not @t167)) % 16.11/16.36 (define @t169 () (not @t159)) % 16.11/16.36 (define @t170 () (or @t163 @t169 @t168)) % 16.11/16.36 (define @t171 () (tptp.k2_xboole_0 tptp.k1_xboole_0 @t100)) % 16.11/16.36 (define @t172 () (tptp.v1_xboole_0 @t171)) % 16.11/16.36 (define @t173 () (not @t172)) % 16.11/16.36 (define @t174 () (or @t167 @t173)) % 16.11/16.36 (define @t175 () (@list true false)) % 16.11/16.36 (define @t176 () (not @t80)) % 16.11/16.36 (define @t177 () (tptp.k2_xboole_0 @t137 @t139)) % 16.11/16.36 (define @t178 () (forall @t50 (= (tptp.r2_hidden @t49 @t177) (or (tptp.r2_hidden @t49 @t137) (tptp.r2_hidden @t49 @t139))))) % 16.11/16.36 (define @t179 () (= (= @t177 @t177) @t178)) % 16.11/16.36 (define @t180 () (or @t142 @t141)) % 16.11/16.36 (define @t181 () (not @t180)) % 16.11/16.36 (define @t182 () (tptp.r2_hidden @t140 @t177)) % 16.11/16.36 (define @t183 () (= @t182 @t180)) % 16.11/16.36 (define @t184 () (not @t182)) % 16.11/16.36 (define @t185 () (@var "BOUND_VARIABLE_7777" $$unsorted)) % 16.11/16.36 (define @t186 () (tptp.k1_latsum_1 @t1 @t185)) % 16.11/16.36 (define @t187 () (@var "BOUND_VARIABLE_7779" $$unsorted)) % 16.11/16.36 (define @t188 () (= @t187 @t186)) % 16.11/16.36 (define @t189 () (tptp.u1_orders_2 @t185)) % 16.11/16.36 (define @t190 () (tptp.u1_struct_0 @t185)) % 16.11/16.36 (define @t191 () (and (= (tptp.k2_xboole_0 @t2 @t190) (tptp.u1_struct_0 @t187)) (= (tptp.k2_xboole_0 (tptp.k2_xboole_0 @t30 @t189) (tptp.k7_relset_1 @t2 @t2 @t190 @t190 @t30 @t189)) (tptp.u1_orders_2 @t187)))) % 16.11/16.36 (define @t192 () (= (= @t186 @t187) @t191)) % 16.11/16.36 (define @t193 () (not (tptp.l1_orders_2 @t187))) % 16.11/16.36 (define @t194 () (not (tptp.v1_orders_2 @t187))) % 16.11/16.36 (define @t195 () (not (tptp.l1_orders_2 @t185))) % 16.11/16.36 (define @t196 () (or @t93 @t195 @t194 @t193 @t192)) % 16.11/16.36 (define @t197 () (or @t195 @t194 @t193 @t192)) % 16.11/16.36 (define @t198 () (or @t93 @t197)) % 16.11/16.36 (define @t199 () (@list @t1 @t185 @t187)) % 16.11/16.36 (define @t200 () (forall @t199 @t198)) % 16.11/16.36 (define @t201 () (@list @t185 @t187)) % 16.11/16.36 (define @t202 () (forall @t201 @t198)) % 16.11/16.36 (define @t203 () (forall @t201 @t197)) % 16.11/16.36 (define @t204 () (@var "BOUND_VARIABLE_7748" $$unsorted)) % 16.11/16.36 (define @t205 () (or @t93 @t203)) % 16.11/16.36 (define @t206 () (tptp.u1_orders_2 @t204)) % 16.11/16.36 (define @t207 () (tptp.u1_struct_0 @t204)) % 16.11/16.36 (define @t208 () (not (tptp.l1_orders_2 @t204))) % 16.11/16.36 (define @t209 () (not (tptp.v1_orders_2 @t204))) % 16.11/16.36 (define @t210 () (@list @t3 @t204)) % 16.11/16.36 (define @t211 () (forall @t210 (or @t104 @t209 @t208 (= (= @t10 @t204) (and (= @t39 @t207) (= @t38 @t206)))))) % 16.11/16.36 (define @t212 () (and (= @t207 @t39) (= @t206 @t38))) % 16.11/16.36 (define @t213 () (= (= @t204 @t10) @t212)) % 16.11/16.36 (define @t214 () (or @t104 @t209 @t208 @t213)) % 16.11/16.36 (define @t215 () (or @t209 @t208 @t213)) % 16.11/16.36 (define @t216 () (or @t104 @t215)) % 16.11/16.36 (define @t217 () (forall @t210 @t216)) % 16.11/16.36 (define @t218 () (@list @t204)) % 16.11/16.36 (define @t219 () (forall @t218 @t216)) % 16.11/16.36 (define @t220 () (forall @t218 @t215)) % 16.11/16.36 (define @t221 () (or @t104 @t220)) % 16.11/16.36 (define @t222 () (not @t41)) % 16.11/16.36 (define @t223 () (not @t42)) % 16.11/16.36 (define @t224 () (or @t223 @t222 @t40)) % 16.11/16.36 (define @t225 () (forall @t13 @t224)) % 16.11/16.36 (define @t226 () (tptp.u1_orders_2 @t97)) % 16.11/16.36 (define @t227 () (tptp.u1_orders_2 @t98)) % 16.11/16.36 (define @t228 () (tptp.k2_xboole_0 (tptp.k2_xboole_0 @t227 @t226) (tptp.k7_relset_1 @t137 @t137 @t138 @t138 @t227 @t226))) % 16.11/16.36 (define @t229 () (tptp.u1_orders_2 @t99)) % 16.11/16.36 (define @t230 () (tptp.k2_xboole_0 @t137 @t138)) % 16.11/16.36 (define @t231 () (= @t100 @t230)) % 16.11/16.36 (define @t232 () (and @t231 (= @t229 @t228))) % 16.11/16.36 (define @t233 () (and (= @t230 @t100) (= @t228 @t229))) % 16.11/16.36 (define @t234 () (= @t233 (= @t99 @t99))) % 16.11/16.36 (define @t235 () (not @t153)) % 16.11/16.36 (define @t236 () (or @t148 @t145 @t235 @t160 @t234)) % 16.11/16.36 (define @t237 () (forall @t199 (or @t93 @t195 @t194 @t193 (= @t191 @t188)))) % 16.11/16.36 (define @t238 () (or @t148 @t145 @t235 @t160 @t232)) % 16.11/16.36 (define @t239 () (tptp.r2_hidden @t140 @t171)) % 16.11/16.36 (define @t240 () (tptp.m1_subset_1 @t140 @t171)) % 16.11/16.36 (define @t241 () (not @t240)) % 16.11/16.36 (define @t242 () (or @t241 @t172 @t239)) % 16.11/16.36 (assume @p1 @t29) % 16.11/16.36 (assume @p2 (forall @t27 (=> @t22 (=> (tptp.v1_orders_2 @t1) (= @t1 (tptp.g1_orders_2 @t2 @t30)))))) % 16.11/16.36 (assume @p3 (forall @t32 (=> @t31 (not (tptp.r2_hidden @t3 @t1))))) % 16.11/16.36 (assume @p4 (forall @t34 (=> @t33 (tptp.v1_relat_1 @t6)))) % 16.11/16.36 (assume @p5 (forall @t32 (= @t36 @t35))) % 16.11/16.36 (assume @p6 @t48) % 16.11/16.36 (assume @p7 @t51) % 16.11/16.36 (assume @p8 (forall @t32 (=> @t53 (and (tptp.v1_orders_2 @t52) (tptp.l1_orders_2 @t52))))) % 16.11/16.36 (assume @p9 @t57) % 16.11/16.36 (assume @p10 true) % 16.11/16.36 (assume @p11 (forall @t32 (=> (and (tptp.v1_relat_1 @t1) (tptp.v1_relat_1 @t3)) (tptp.v1_relat_1 (tptp.k5_relat_1 @t1 @t3))))) % 16.11/16.36 (assume @p12 (forall @t62 (=> @t61 (tptp.m2_relset_1 @t60 @t1 @t49)))) % 16.11/16.36 (assume @p13 @t64) % 16.11/16.36 (assume @p14 (forall @t34 (=> @t65 @t33))) % 16.11/16.36 (assume @p15 (forall @t27 (=> @t22 (tptp.m2_relset_1 @t30 @t2 @t2)))) % 16.11/16.36 (assume @p16 (exists @t27 @t22)) % 16.11/16.36 (assume @p17 (exists @t27 @t63)) % 16.11/16.36 (assume @p18 (forall @t32 (exists @t13 @t66))) % 16.11/16.36 (assume @p19 (forall @t27 (exists @t20 (tptp.m1_subset_1 @t3 @t1)))) % 16.11/16.36 (assume @p20 (forall @t32 (exists @t13 @t65))) % 16.11/16.36 (assume @p21 @t69) % 16.11/16.36 (assume @p22 @t72) % 16.11/16.36 (assume @p23 (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 16.11/16.36 (assume @p24 (forall @t32 (=> (and @t24 @t22 @t15) @t67))) % 16.11/16.36 (assume @p25 (forall @t32 (=> @t74 (not (tptp.v1_xboole_0 @t36))))) % 16.11/16.36 (assume @p26 @t76) % 16.11/16.36 (assume @p27 (forall @t32 (=> @t53 (forall (@list @t6 @t49) (=> (= @t52 (tptp.g1_orders_2 @t6 @t49)) (and (= @t1 @t6) (= @t3 @t49))))))) % 16.11/16.36 (assume @p28 (forall @t32 (= (tptp.k2_xboole_0 @t1 @t1) @t1))) % 16.11/16.36 (assume @p29 (exists @t27 @t73)) % 16.11/16.36 (assume @p30 (exists @t27 @t74)) % 16.11/16.36 (assume @p31 (exists @t27 (and @t63 @t24))) % 16.11/16.36 (assume @p32 (forall @t27 (=> @t71 (exists @t20 (and (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t2)) (not @t77)))))) % 16.11/16.36 (assume @p33 (forall @t62 (=> @t61 (= @t60 (tptp.k5_relat_1 @t59 @t58))))) % 16.11/16.36 (assume @p34 (forall @t34 (= @t65 @t66))) % 16.11/16.36 (assume @p35 (forall @t32 (tptp.r1_tarski @t1 @t1))) % 16.11/16.36 (assume @p36 @t79) % 16.11/16.36 (assume @p37 (forall @t32 (=> @t31 @t80))) % 16.11/16.36 (assume @p38 @t82) % 16.11/16.36 (assume @p39 @t84) % 16.11/16.36 (assume @p40 (forall @t27 (= (tptp.k4_xboole_0 @t1 tptp.k1_xboole_0) @t1))) % 16.11/16.36 (assume @p41 (forall @t32 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t3)) (tptp.r1_tarski @t1 @t3)))) % 16.11/16.36 (assume @p42 (forall @t27 (= (tptp.k4_xboole_0 tptp.k1_xboole_0 @t1) tptp.k1_xboole_0))) % 16.11/16.36 (assume @p43 (forall @t34 (=> (and @t31 @t85) (tptp.m1_subset_1 @t1 @t6)))) % 16.11/16.36 (assume @p44 (forall @t34 (not (and @t31 @t85 (tptp.v1_xboole_0 @t6))))) % 16.11/16.36 (assume @p45 (forall @t27 (=> @t73 (= @t1 tptp.k1_xboole_0)))) % 16.11/16.36 (assume @p46 (forall @t32 (not (and @t31 @t77)))) % 16.11/16.36 (assume @p47 (forall @t32 (not (and @t73 (not (= @t1 @t3)) @t77)))) % 16.11/16.36 (step @p48 :rule refl :args (@t75)) % 16.11/16.36 (step @p49 :rule bool-double-not-elim :args (@t73)) % 16.11/16.36 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or (not @t74) @t75))) % 16.11/16.36 (step @p51 :rule bool-impl-elim :args (@t74 @t75)) % 16.11/16.36 (step @p52 :rule trans :premises (@p51 @p50)) % 16.11/16.36 (step @p53 :rule cong :premises (@p52) :args (@t76)) % 16.11/16.36 (step @p54 :rule eq_resolve :premises (@p26 @p53)) % 16.11/16.36 (step @p55 :rule instantiate :premises (@p54) :args ((@list @t100 tptp.k1_xboole_0))) % 16.11/16.36 (step @p56 :rule aci_norm :args ((= (or (or @t23 @t101) @t70) (or @t23 @t101 @t70)))) % 16.11/16.36 (step @p57 :rule refl :args (@t70)) % 16.11/16.36 (step @p58 :rule refl :args (@t101)) % 16.11/16.36 (step @p59 :rule bool-double-not-elim :args (@t23)) % 16.11/16.36 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t102 @t101))) % 16.11/16.36 (step @p61 :rule bool-and-de-morgan :args (@t24 @t63 true)) % 16.11/16.36 (step @p62 :rule trans :premises (@p61 @p60)) % 16.11/16.36 (step @p63 :rule nary_cong :premises (@p62 @p57) :args ((or (not @t71) @t70))) % 16.11/16.36 (step @p64 :rule trans :premises (@p63 @p56)) % 16.11/16.36 (step @p65 :rule bool-impl-elim :args (@t71 @t70)) % 16.11/16.36 (step @p66 :rule trans :premises (@p65 @p64)) % 16.11/16.36 (step @p67 :rule cong :premises (@p66) :args (@t72)) % 16.11/16.36 (step @p68 :rule eq_resolve :premises (@p22 @p67)) % 16.11/16.36 (step @p69 :rule instantiate :premises (@p68) :args (@t103)) % 16.11/16.36 (step @p70 :rule bool-impl-elim :args (@t22 @t63)) % 16.11/16.36 (step @p71 :rule cong :premises (@p70) :args (@t64)) % 16.11/16.36 (step @p72 :rule eq_resolve :premises (@p13 @p71)) % 16.11/16.36 (step @p73 :rule instantiate :premises (@p72) :args (@t103)) % 16.11/16.36 (step @p74 :rule aci_norm :args ((= (or (or @t93 @t104) @t55) (or @t93 @t104 @t55)))) % 16.11/16.36 (step @p75 :rule refl :args (@t55)) % 16.11/16.36 (step @p76 :rule bool-and-de-morgan :args (@t22 @t15 true)) % 16.11/16.36 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or (not @t56) @t55))) % 16.11/16.36 (step @p78 :rule trans :premises (@p77 @p74)) % 16.11/16.36 (step @p79 :rule bool-impl-elim :args (@t56 @t55)) % 16.11/16.36 (step @p80 :rule trans :premises (@p79 @p78)) % 16.11/16.36 (step @p81 :rule cong :premises (@p80) :args (@t57)) % 16.11/16.36 (step @p82 :rule eq_resolve :premises (@p9 @p81)) % 16.11/16.36 (step @p83 :rule instantiate :premises (@p82) :args (@t105)) % 16.11/16.36 (step @p84 :rule aci_norm :args ((= @t107 @t94))) % 16.11/16.36 (step @p85 :rule cong :premises (@p84) :args (@t108)) % 16.11/16.36 (step @p86 :rule quant-merge-prenex :args ((= (forall @t27 @t110) @t108))) % 16.11/16.36 (step @p87 :rule alpha_equiv :args (@t111 (@list @t86 @t87) (@list @t3 @t112))) % 16.11/16.36 (step @p88 :rule refl :args (@t93)) % 16.11/16.36 (step @p89 :rule refl :args (@t23)) % 16.11/16.36 (step @p90 :rule nary_cong :premises (@p89 @p88 @p87) :args (@t113)) % 16.11/16.36 (step @p91 :rule quant-miniscope-or :args ((= @t110 @t113))) % 16.11/16.36 (step @p92 :rule trans :premises (@p91 @p90)) % 16.11/16.36 (step @p93 :rule symm :premises (@p92)) % 16.11/16.36 (step @p94 :rule cong :premises (@p93) :args ((forall @t27 @t120))) % 16.11/16.36 (step @p95 :rule trans :premises (@p94 @p86)) % 16.11/16.36 (step @p96 :rule trans :premises (@p95 @p85)) % 16.11/16.36 (step @p97 :rule aci_norm :args ((= (or (or @t23 @t93) @t119) @t120))) % 16.11/16.36 (step @p98 :rule refl :args (@t119)) % 16.11/16.36 (step @p99 :rule nary_cong :premises (@p59 @p88) :args ((or @t102 @t93))) % 16.11/16.36 (step @p100 :rule bool-and-de-morgan :args (@t24 @t22 true)) % 16.11/16.36 (step @p101 :rule trans :premises (@p100 @p99)) % 16.11/16.36 (step @p102 :rule nary_cong :premises (@p101 @p98) :args ((or (not @t25) @t119))) % 16.11/16.36 (step @p103 :rule trans :premises (@p102 @p97)) % 16.11/16.36 (step @p104 :rule bool-impl-elim :args (@t25 @t119)) % 16.11/16.36 (step @p105 :rule trans :premises (@p104 @p103)) % 16.11/16.36 (step @p106 :rule cong :premises (@p105) :args ((forall @t27 (=> @t25 @t119)))) % 16.11/16.36 (step @p107 :rule trans :premises (@p106 @p96)) % 16.11/16.36 (step @p108 :rule aci_norm :args ((= @t122 @t117))) % 16.11/16.36 (step @p109 :rule cong :premises (@p108) :args (@t123)) % 16.11/16.36 (step @p110 :rule quant-merge-prenex :args ((= (forall @t20 @t125) @t123))) % 16.11/16.36 (step @p111 :rule alpha_equiv :args (@t126 (@list @t112) @t127)) % 16.11/16.36 (step @p112 :rule refl :args (@t104)) % 16.11/16.36 (step @p113 :rule refl :args (@t16)) % 16.11/16.36 (step @p114 :rule nary_cong :premises (@p113 @p112 @p111) :args (@t128)) % 16.11/16.36 (step @p115 :rule quant-miniscope-or :args ((= @t125 @t128))) % 16.11/16.36 (step @p116 :rule trans :premises (@p115 @p114)) % 16.11/16.36 (step @p117 :rule symm :premises (@p116)) % 16.11/16.36 (step @p118 :rule cong :premises (@p117) :args ((forall @t20 @t132))) % 16.11/16.36 (step @p119 :rule trans :premises (@p118 @p110)) % 16.11/16.36 (step @p120 :rule trans :premises (@p119 @p109)) % 16.11/16.36 (step @p121 :rule aci_norm :args ((= (or (or @t16 @t104) @t131) @t132))) % 16.11/16.36 (step @p122 :rule refl :args (@t131)) % 16.11/16.36 (step @p123 :rule bool-double-not-elim :args (@t16)) % 16.11/16.36 (step @p124 :rule nary_cong :premises (@p123 @p112) :args (@t134)) % 16.11/16.36 (step @p125 :rule bool-and-de-morgan :args (@t17 @t15 true)) % 16.11/16.36 (step @p126 :rule trans :premises (@p125 @p124)) % 16.11/16.36 (step @p127 :rule nary_cong :premises (@p126 @p122) :args ((or @t135 @t131))) % 16.11/16.36 (step @p128 :rule trans :premises (@p127 @p121)) % 16.11/16.36 (step @p129 :rule bool-impl-elim :args (@t18 @t131)) % 16.11/16.36 (step @p130 :rule trans :premises (@p129 @p128)) % 16.11/16.36 (step @p131 :rule cong :premises (@p130) :args ((forall @t20 (=> @t18 @t131)))) % 16.11/16.36 (step @p132 :rule trans :premises (@p131 @p120)) % 16.11/16.36 (step @p133 :rule aci_norm :args ((= (or @t129 @t9) @t130))) % 16.11/16.36 (step @p134 :rule bool-impl-elim :args (@t12 @t9)) % 16.11/16.36 (step @p135 :rule trans :premises (@p134 @p133)) % 16.11/16.36 (step @p136 :rule cong :premises (@p135) :args (@t14)) % 16.11/16.36 (step @p137 :rule refl :args (@t18)) % 16.11/16.36 (step @p138 :rule cong :premises (@p137 @p136) :args (@t19)) % 16.11/16.36 (step @p139 :rule cong :premises (@p138) :args (@t21)) % 16.11/16.36 (step @p140 :rule trans :premises (@p139 @p132)) % 16.11/16.36 (step @p141 :rule refl :args (@t25)) % 16.11/16.36 (step @p142 :rule cong :premises (@p141 @p140) :args (@t26)) % 16.11/16.36 (step @p143 :rule cong :premises (@p142) :args (@t28)) % 16.11/16.36 (step @p144 :rule trans :premises (@p143 @p107)) % 16.11/16.36 (step @p145 :rule cong :premises (@p144) :args (@t29)) % 16.11/16.36 (step @p146 :rule eq_resolve :premises (@p1 @p145)) % 16.11/16.36 (step @p147 :rule skolemize :premises (@p146)) % 16.11/16.36 (step @p148 :rule bool-double-not-elim :args (@t136)) % 16.11/16.36 (step @p149 :rule refl :args (@t149)) % 16.11/16.36 (step @p150 :rule nary_cong :premises (@p149 @p148) :args ((or @t149 (not @t145)))) % 16.11/16.36 (step @p151 :rule cnf_or_neg :args (@t149 3)) % 16.11/16.36 (step @p152 :rule eq_resolve :premises (@p151 @p150)) % 16.11/16.36 (step @p153 :rule reordering :premises (@p152) :args ((or @t136 @t149))) % 16.11/16.36 (step @p154 :rule chain_m_resolution :premises (@p153 @p147) :args (@t136 @t150 @t151)) % 16.11/16.36 (step @p155 :rule bool-double-not-elim :args (@t147)) % 16.11/16.36 (step @p156 :rule nary_cong :premises (@p149 @p155) :args ((or @t149 (not @t148)))) % 16.11/16.36 (step @p157 :rule cnf_or_neg :args (@t149 1)) % 16.11/16.36 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 16.11/16.36 (step @p159 :rule reordering :premises (@p158) :args ((or @t147 @t149))) % 16.11/16.36 (step @p160 :rule chain_m_resolution :premises (@p159 @p147) :args (@t147 @t150 @t151)) % 16.11/16.36 (step @p161 :rule cnf_or_pos :args (@t155)) % 16.11/16.36 (step @p162 :rule reordering :premises (@p161) :args ((or @t148 @t145 @t154 (not @t155)))) % 16.11/16.36 (step @p163 :rule chain_m_resolution :premises (@p162 @p160 @p154 @p83) :args (@t154 (@list false false false) (@list @t147 @t136 @t155))) % 16.11/16.36 (step @p164 :rule cnf_and_pos :args (@t154 1)) % 16.11/16.36 (step @p165 :rule reordering :premises (@p164) :args ((or @t152 @t156))) % 16.11/16.36 (step @p166 :rule chain_m_resolution :premises (@p165 @p163) :args (@t152 @t157 @t158)) % 16.11/16.36 (step @p167 :rule cnf_or_pos :args (@t161)) % 16.11/16.36 (step @p168 :rule reordering :premises (@p167) :args ((or @t160 @t159 (not @t161)))) % 16.11/16.36 (step @p169 :rule chain_m_resolution :premises (@p168 @p166 @p73) :args (@t159 (@list false false) (@list @t152 @t161))) % 16.11/16.36 (step @p170 :rule aci_norm :args ((= (or (or @t93 @t16 @t104) @t67) (or @t93 @t16 @t104 @t67)))) % 16.11/16.36 (step @p171 :rule refl :args (@t67)) % 16.11/16.36 (step @p172 :rule nary_cong :premises (@p88 @p123 @p112) :args (@t162)) % 16.11/16.36 (step @p173 :rule aci_norm :args ((= (or @t93 @t134) @t162))) % 16.11/16.36 (step @p174 :rule trans :premises (@p173 @p172)) % 16.11/16.36 (step @p175 :rule nary_cong :premises (@p88 @p125) :args ((or @t93 @t135))) % 16.11/16.36 (step @p176 :rule bool-and-de-morgan :args (@t22 @t17 (and @t15))) % 16.11/16.36 (step @p177 :rule trans :premises (@p176 @p175)) % 16.11/16.36 (step @p178 :rule trans :premises (@p177 @p174)) % 16.11/16.36 (step @p179 :rule nary_cong :premises (@p178 @p171) :args ((or (not @t68) @t67))) % 16.11/16.36 (step @p180 :rule trans :premises (@p179 @p170)) % 16.11/16.36 (step @p181 :rule bool-impl-elim :args (@t68 @t67)) % 16.11/16.36 (step @p182 :rule trans :premises (@p181 @p180)) % 16.11/16.36 (step @p183 :rule cong :premises (@p182) :args (@t69)) % 16.11/16.36 (step @p184 :rule eq_resolve :premises (@p21 @p183)) % 16.11/16.36 (step @p185 :rule instantiate :premises (@p184) :args (@t105)) % 16.11/16.36 (step @p186 :rule cnf_or_neg :args (@t149 2)) % 16.11/16.36 (step @p187 :rule chain_m_resolution :premises (@p186 @p147) :args ((not @t146) @t150 @t151)) % 16.11/16.36 (step @p188 :rule cnf_or_pos :args (@t166)) % 16.11/16.36 (step @p189 :rule reordering :premises (@p188) :args ((or @t148 @t146 @t145 @t165 (not @t166)))) % 16.11/16.36 (step @p190 :rule chain_m_resolution :premises (@p189 @p160 @p187 @p154 @p185) :args (@t165 (@list false true false false) (@list @t147 @t146 @t136 @t166))) % 16.11/16.36 (step @p191 :rule cnf_and_pos :args (@t165 0)) % 16.11/16.36 (step @p192 :rule reordering :premises (@p191) :args ((or @t164 (not @t165)))) % 16.11/16.36 (step @p193 :rule chain_m_resolution :premises (@p192 @p190) :args (@t164 @t157 (@list @t165))) % 16.11/16.36 (step @p194 :rule cnf_or_pos :args (@t170)) % 16.11/16.36 (step @p195 :rule reordering :premises (@p194) :args ((or @t168 @t163 @t169 (not @t170)))) % 16.11/16.36 (step @p196 :rule chain_m_resolution :premises (@p195 @p193 @p169 @p69) :args (@t168 (@list true false false) (@list @t163 @t159 @t170))) % 16.11/16.36 (step @p197 :rule cnf_or_pos :args (@t174)) % 16.11/16.36 (step @p198 :rule reordering :premises (@p197) :args ((or @t167 @t173 (not @t174)))) % 16.11/16.36 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p55) :args (@t173 @t175 (@list @t167 @t174))) % 16.11/16.36 (step @p200 :rule aci_norm :args ((= (or @t176 @t81) (or @t176 @t77 @t31)))) % 16.11/16.36 (step @p201 :rule bool-impl-elim :args (@t80 @t81)) % 16.11/16.36 (step @p202 :rule trans :premises (@p201 @p200)) % 16.11/16.36 (step @p203 :rule cong :premises (@p202) :args (@t82)) % 16.11/16.36 (step @p204 :rule eq_resolve :premises (@p38 @p203)) % 16.11/16.36 (step @p205 :rule instantiate :premises (@p204) :args ((@list @t140 @t171))) % 16.11/16.36 (step @p206 :rule bool-eq-true :args (@t178)) % 16.11/16.36 (step @p207 :rule eq-symm :args (true @t178)) % 16.11/16.36 (step @p208 :rule trans :premises (@p207 @p206)) % 16.11/16.36 (step @p209 :rule refl :args (@t178)) % 16.11/16.36 (step @p210 :rule eq-refl :args (@t177)) % 16.11/16.36 (step @p211 :rule cong :premises (@p210 @p209) :args (@t179)) % 16.11/16.36 (step @p212 :rule trans :premises (@p211 @p208)) % 16.11/16.36 (step @p213 :rule refl :args (@t51)) % 16.11/16.36 (step @p214 :rule cong :premises (@p213 @p212) :args ((=> @t51 @t179))) % 16.11/16.36 (assume-push @p359 @t51) % 16.11/16.36 (step @p216 :rule instantiate :premises (@p7) :args ((@list @t137 @t139 @t177))) % 16.11/16.36 (step-pop @p360 :rule scope :premises (@p216)) % 16.11/16.36 (step @p217 :rule process_scope :premises (@p360) :args (@t179)) % 16.11/16.36 (step @p219 :rule eq_resolve :premises (@p217 @p214)) % 16.11/16.36 (step @p220 :rule implies_elim :premises (@p219)) % 16.11/16.36 (step @p221 :rule chain_m_resolution :premises (@p220 @p7) :args (@t178 @t157 (@list @t51))) % 16.11/16.36 (step @p222 :rule instantiate :premises (@p221) :args ((@list @t140))) % 16.11/16.36 (step @p223 :rule cnf_or_neg :args (@t149 6)) % 16.11/16.36 (step @p224 :rule chain_m_resolution :premises (@p223 @p147) :args ((not @t141) @t150 @t151)) % 16.11/16.36 (step @p225 :rule cnf_or_neg :args (@t149 5)) % 16.11/16.36 (step @p226 :rule chain_m_resolution :premises (@p225 @p147) :args ((not @t142) @t150 @t151)) % 16.11/16.36 (step @p227 :rule cnf_or_pos :args (@t180)) % 16.11/16.36 (step @p228 :rule reordering :premises (@p227) :args ((or @t142 @t141 @t181))) % 16.11/16.36 (step @p229 :rule chain_m_resolution :premises (@p228 @p226 @p224) :args (@t181 (@list true true) (@list @t142 @t141))) % 16.11/16.36 (step @p230 :rule cnf_equiv_pos1 :args (@t183)) % 16.11/16.36 (step @p231 :rule reordering :premises (@p230) :args ((or @t180 @t184 (not @t183)))) % 16.11/16.36 (step @p232 :rule chain_m_resolution :premises (@p231 @p229 @p222) :args (@t184 @t175 (@list @t180 @t183))) % 16.11/16.36 (step @p233 :rule false_intro :premises (@p232)) % 16.11/16.36 (step @p234 :rule eq-symm :args (@t83 @t36)) % 16.11/16.36 (step @p235 :rule cong :premises (@p234) :args (@t84)) % 16.11/16.36 (step @p236 :rule eq_resolve :premises (@p39 @p235)) % 16.11/16.36 (step @p237 :rule instantiate :premises (@p236) :args ((@list @t137 @t138))) % 16.11/16.36 (step @p238 :rule eq-symm :args (@t188 @t191)) % 16.11/16.36 (step @p239 :rule refl :args (@t191)) % 16.11/16.36 (step @p240 :rule eq-symm :args (@t186 @t187)) % 16.11/16.36 (step @p241 :rule cong :premises (@p240 @p239) :args (@t192)) % 16.11/16.36 (step @p242 :rule trans :premises (@p241 @p238)) % 16.11/16.36 (step @p243 :rule refl :args (@t193)) % 16.11/16.36 (step @p244 :rule refl :args (@t194)) % 16.11/16.36 (step @p245 :rule refl :args (@t195)) % 16.11/16.36 (step @p246 :rule refl :args (@t93)) % 16.11/16.36 (step @p247 :rule nary_cong :premises (@p246 @p245 @p244 @p243 @p242) :args (@t196)) % 16.11/16.36 (step @p248 :rule aci_norm :args ((= @t198 @t196))) % 16.11/16.36 (step @p249 :rule trans :premises (@p248 @p247)) % 16.11/16.36 (step @p250 :rule cong :premises (@p249) :args (@t200)) % 16.11/16.36 (step @p251 :rule quant-merge-prenex :args ((= (forall @t27 @t202) @t200))) % 16.11/16.36 (step @p252 :rule alpha_equiv :args (@t203 (@list @t185 @t187) (@list @t3 @t204))) % 16.11/16.36 (step @p253 :rule nary_cong :premises (@p88 @p252) :args (@t205)) % 16.11/16.36 (step @p254 :rule quant-miniscope-or :args ((= @t202 @t205))) % 16.11/16.36 (step @p255 :rule trans :premises (@p254 @p253)) % 16.11/16.36 (step @p256 :rule symm :premises (@p255)) % 16.11/16.36 (step @p257 :rule cong :premises (@p256) :args ((forall @t27 (or @t93 @t211)))) % 16.11/16.36 (step @p258 :rule trans :premises (@p257 @p251)) % 16.11/16.36 (step @p259 :rule trans :premises (@p258 @p250)) % 16.11/16.36 (step @p260 :rule bool-impl-elim :args (@t22 @t211)) % 16.11/16.36 (step @p261 :rule cong :premises (@p260) :args ((forall @t27 (=> @t22 @t211)))) % 16.11/16.36 (step @p262 :rule trans :premises (@p261 @p259)) % 16.11/16.36 (step @p263 :rule eq-symm :args (@t206 @t38)) % 16.11/16.36 (step @p264 :rule eq-symm :args (@t207 @t39)) % 16.11/16.36 (step @p265 :rule nary_cong :premises (@p264 @p263) :args (@t212)) % 16.11/16.36 (step @p266 :rule eq-symm :args (@t204 @t10)) % 16.11/16.36 (step @p267 :rule cong :premises (@p266 @p265) :args (@t213)) % 16.11/16.36 (step @p268 :rule refl :args (@t208)) % 16.11/16.36 (step @p269 :rule refl :args (@t209)) % 16.11/16.36 (step @p270 :rule refl :args (@t104)) % 16.11/16.36 (step @p271 :rule nary_cong :premises (@p270 @p269 @p268 @p267) :args (@t214)) % 16.11/16.36 (step @p272 :rule aci_norm :args ((= @t216 @t214))) % 16.11/16.36 (step @p273 :rule trans :premises (@p272 @p271)) % 16.11/16.36 (step @p274 :rule cong :premises (@p273) :args (@t217)) % 16.11/16.36 (step @p275 :rule quant-merge-prenex :args ((= (forall @t20 @t219) @t217))) % 16.11/16.36 (step @p276 :rule alpha_equiv :args (@t220 (@list @t204) @t127)) % 16.11/16.36 (step @p277 :rule nary_cong :premises (@p112 @p276) :args (@t221)) % 16.11/16.36 (step @p278 :rule quant-miniscope-or :args ((= @t219 @t221))) % 16.11/16.36 (step @p279 :rule trans :premises (@p278 @p277)) % 16.11/16.36 (step @p280 :rule symm :premises (@p279)) % 16.11/16.36 (step @p281 :rule cong :premises (@p280) :args ((forall @t20 (or @t104 @t225)))) % 16.11/16.36 (step @p282 :rule trans :premises (@p281 @p275)) % 16.11/16.36 (step @p283 :rule trans :premises (@p282 @p274)) % 16.11/16.36 (step @p284 :rule bool-impl-elim :args (@t15 @t225)) % 16.11/16.36 (step @p285 :rule cong :premises (@p284) :args ((forall @t20 (=> @t15 @t225)))) % 16.11/16.36 (step @p286 :rule trans :premises (@p285 @p283)) % 16.11/16.36 (step @p287 :rule aci_norm :args ((= (or (or @t223 @t222) @t40) @t224))) % 16.11/16.36 (step @p288 :rule refl :args (@t40)) % 16.11/16.36 (step @p289 :rule bool-and-de-morgan :args (@t42 @t41 true)) % 16.11/16.36 (step @p290 :rule nary_cong :premises (@p289 @p288) :args ((or (not @t43) @t40))) % 16.11/16.36 (step @p291 :rule trans :premises (@p290 @p287)) % 16.11/16.36 (step @p292 :rule bool-impl-elim :args (@t43 @t40)) % 16.11/16.36 (step @p293 :rule trans :premises (@p292 @p291)) % 16.11/16.36 (step @p294 :rule cong :premises (@p293) :args (@t44)) % 16.11/16.36 (step @p295 :rule refl :args (@t15)) % 16.11/16.36 (step @p296 :rule cong :premises (@p295 @p294) :args (@t45)) % 16.11/16.36 (step @p297 :rule cong :premises (@p296) :args (@t46)) % 16.11/16.36 (step @p298 :rule trans :premises (@p297 @p286)) % 16.11/16.36 (step @p299 :rule refl :args (@t22)) % 16.11/16.36 (step @p300 :rule cong :premises (@p299 @p298) :args (@t47)) % 16.11/16.36 (step @p301 :rule cong :premises (@p300) :args (@t48)) % 16.11/16.36 (step @p302 :rule trans :premises (@p301 @p262)) % 16.11/16.36 (step @p303 :rule eq_resolve :premises (@p6 @p302)) % 16.11/16.36 (step @p304 :rule bool-eq-true :args (@t232)) % 16.11/16.36 (step @p305 :rule eq-refl :args (@t99)) % 16.11/16.36 (step @p306 :rule eq-symm :args (@t228 @t229)) % 16.11/16.36 (step @p307 :rule eq-symm :args (@t230 @t100)) % 16.11/16.36 (step @p308 :rule nary_cong :premises (@p307 @p306) :args (@t233)) % 16.11/16.36 (step @p309 :rule cong :premises (@p308 @p305) :args (@t234)) % 16.11/16.36 (step @p310 :rule trans :premises (@p309 @p304)) % 16.11/16.36 (step @p311 :rule refl :args (@t160)) % 16.11/16.36 (step @p312 :rule refl :args (@t235)) % 16.11/16.36 (step @p313 :rule refl :args (@t145)) % 16.11/16.36 (step @p314 :rule refl :args (@t148)) % 16.11/16.36 (step @p315 :rule nary_cong :premises (@p314 @p313 @p312 @p311 @p310) :args (@t236)) % 16.11/16.36 (step @p316 :rule refl :args (@t237)) % 16.11/16.36 (step @p317 :rule cong :premises (@p316 @p315) :args ((=> @t237 @t236))) % 16.11/16.36 (assume-push @p361 @t237) % 16.11/16.36 (step @p319 :rule instantiate :premises (@p303) :args ((@list @t98 @t97 @t99))) % 16.11/16.36 (step-pop @p362 :rule scope :premises (@p319)) % 16.11/16.36 (step @p320 :rule process_scope :premises (@p362) :args (@t236)) % 16.11/16.36 (step @p322 :rule eq_resolve :premises (@p320 @p317)) % 16.11/16.36 (step @p323 :rule implies_elim :premises (@p322)) % 16.11/16.36 (step @p324 :rule chain_m_resolution :premises (@p323 @p303) :args (@t238 @t157 (@list @t237))) % 16.11/16.36 (step @p325 :rule cnf_and_pos :args (@t154 0)) % 16.11/16.36 (step @p326 :rule reordering :premises (@p325) :args ((or @t153 @t156))) % 16.11/16.36 (step @p327 :rule chain_m_resolution :premises (@p326 @p163) :args (@t153 @t157 @t158)) % 16.11/16.36 (step @p328 :rule cnf_or_pos :args (@t238)) % 16.11/16.36 (step @p329 :rule reordering :premises (@p328) :args ((or @t148 @t145 @t235 @t160 @t232 (not @t238)))) % 16.11/16.36 (step @p330 :rule chain_m_resolution :premises (@p329 @p160 @p154 @p327 @p166 @p324) :args (@t232 (@list false false false false false) (@list @t147 @t136 @t153 @t152 @t238))) % 16.11/16.36 (step @p331 :rule cnf_and_pos :args (@t232 0)) % 16.11/16.36 (step @p332 :rule reordering :premises (@p331) :args ((or @t231 (not @t232)))) % 16.11/16.36 (step @p333 :rule chain_m_resolution :premises (@p332 @p330) :args (@t231 @t157 (@list @t232))) % 16.11/16.36 (step @p334 :rule eq-symm :args (@t78 @t1)) % 16.11/16.36 (step @p335 :rule cong :premises (@p334) :args (@t79)) % 16.11/16.36 (step @p336 :rule eq_resolve :premises (@p36 @p335)) % 16.11/16.36 (step @p337 :rule instantiate :premises (@p336) :args ((@list @t100))) % 16.11/16.36 (step @p338 :rule symm :premises (@p337)) % 16.11/16.36 (step @p339 :rule instantiate :premises (@p5) :args ((@list tptp.k1_xboole_0 @t100))) % 16.11/16.36 (step @p340 :rule trans :premises (@p339 @p338 @p333 @p237)) % 16.11/16.36 (step @p341 :rule refl :args (@t140)) % 16.11/16.36 (step @p342 :rule cong :premises (@p341 @p340) :args (@t239)) % 16.11/16.36 (step @p343 :rule trans :premises (@p342 @p233)) % 16.11/16.36 (step @p344 :rule false_elim :premises (@p343)) % 16.11/16.36 (step @p345 :rule bool-double-not-elim :args (@t143)) % 16.11/16.36 (step @p346 :rule nary_cong :premises (@p149 @p345) :args ((or @t149 (not @t144)))) % 16.11/16.36 (step @p347 :rule cnf_or_neg :args (@t149 4)) % 16.11/16.36 (step @p348 :rule eq_resolve :premises (@p347 @p346)) % 16.11/16.36 (step @p349 :rule reordering :premises (@p348) :args ((or @t143 @t149))) % 16.11/16.36 (step @p350 :rule chain_m_resolution :premises (@p349 @p147) :args (@t143 @t150 @t151)) % 16.11/16.36 (step @p351 :rule true_intro :premises (@p350)) % 16.11/16.36 (step @p352 :rule trans :premises (@p339 @p338)) % 16.11/16.36 (step @p353 :rule cong :premises (@p341 @p352) :args (@t240)) % 16.11/16.36 (step @p354 :rule trans :premises (@p353 @p351)) % 16.11/16.36 (step @p355 :rule true_elim :premises (@p354)) % 16.11/16.36 (step @p356 :rule cnf_or_pos :args (@t242)) % 16.11/16.36 (step @p357 :rule reordering :premises (@p356) :args ((or @t172 @t241 @t239 (not @t242)))) % 16.11/16.36 (step @p358 false :rule chain_m_resolution :premises (@p357 @p355 @p344 @p205 @p199) :args (false (@list false true false true) (@list @t240 @t239 @t242 @t172))) % 16.11/16.36 ) % 16.11/16.36 % SZS output end Proof % 16.11/16.36 % cvc5 exiting %------------------------------------------------------------------------------