%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : TOP046+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 : 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 09:15:52 AM UTC 2026 % Result : Theorem 34.73s 34.92s % Output : Proof 34.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : TOP046+1 : TPTP v9.2.1. Released v3.4.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 : Wed Jun 3 01:27:49 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.34 %----Proving TF0_NAR, FOF, or CNF % 34.73/34.92 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.73/34.92 --- Run --no-e-matching --full-saturate-quant at 6... % 34.73/34.92 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.73/34.92 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.73/34.92 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.73/34.92 % SZS status Theorem % 34.73/34.92 % SZS output start Proof % 34.73/34.92 ( % 34.73/34.92 (declare-sort $$unsorted 0) % 34.73/34.92 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 34.73/34.92 (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.73/34.92 (declare-const tptp.v1_finset_1 (-> $$unsorted Bool)) % 34.73/34.92 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 34.73/34.92 (declare-const tptp.v1_orders_2 (-> $$unsorted Bool)) % 34.73/34.92 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 34.73/34.92 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 34.73/34.92 (declare-const tptp.l1_waybel_0 (-> $$unsorted $$unsorted Bool)) % 34.73/34.92 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 34.73/34.92 (declare-const tptp.g1_orders_2 (-> $$unsorted $$unsorted $$unsorted)) % 34.73/34.92 (declare-const tptp.l1_orders_2 (-> $$unsorted Bool)) % 34.73/34.92 (declare-const tptp.u1_waybel_0 (-> $$unsorted $$unsorted $$unsorted)) % 34.73/34.92 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 34.73/34.92 (declare-const tptp.r1_waybel_0 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.73/34.92 (declare-const tptp.v1_funct_1 (-> $$unsorted Bool)) % 34.73/34.92 (declare-const tptp.v1_relat_1 (-> $$unsorted Bool)) % 34.73/34.92 (declare-const tptp.k3_waybel_0 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.73/34.92 (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.73/34.92 (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted)) % 34.73/34.92 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 34.73/34.92 (declare-const tptp.v2_funct_1 (-> $$unsorted Bool)) % 34.73/34.92 (declare-const tptp.r2_orders_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.73/34.92 (declare-const tptp.k1_waybel_0 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.73/34.92 (declare-const tptp.r1_orders_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.73/34.92 (declare-const tptp.k7_yellow_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 34.73/34.92 (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.73/34.92 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 34.73/34.92 (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.73/34.92 (declare-const tptp.k1_xboole_0 $$unsorted) % 34.73/34.92 (declare-const tptp.u1_orders_2 (-> $$unsorted $$unsorted)) % 34.73/34.92 (declare-const tptp.v3_relat_1 (-> $$unsorted Bool)) % 34.73/34.92 (define @t1 () (@var "E" $$unsorted)) % 34.73/34.92 (define @t2 () (@var "D" $$unsorted)) % 34.73/34.92 (define @t3 () (@var "B" $$unsorted)) % 34.73/34.92 (define @t4 () (tptp.r1_waybel_0 @t3 @t2 @t1)) % 34.73/34.92 (define @t5 () (@var "C" $$unsorted)) % 34.73/34.92 (define @t6 () (@var "A" $$unsorted)) % 34.73/34.92 (define @t7 () (tptp.r1_waybel_0 @t6 @t5 @t1)) % 34.73/34.92 (define @t8 () (@list @t1)) % 34.73/34.92 (define @t9 () (forall @t8 (=> @t7 @t4))) % 34.73/34.92 (define @t10 () (tptp.u1_waybel_0 @t6 @t5)) % 34.73/34.92 (define @t11 () (= @t10 (tptp.u1_waybel_0 @t3 @t2))) % 34.73/34.92 (define @t12 () (tptp.g1_orders_2 (tptp.u1_struct_0 @t5) (tptp.u1_orders_2 @t5))) % 34.73/34.92 (define @t13 () (= @t12 (tptp.g1_orders_2 (tptp.u1_struct_0 @t2) (tptp.u1_orders_2 @t2)))) % 34.73/34.92 (define @t14 () (and @t13 @t11)) % 34.73/34.92 (define @t15 () (=> @t14 @t9)) % 34.73/34.92 (define @t16 () (tptp.l1_waybel_0 @t2 @t3)) % 34.73/34.92 (define @t17 () (tptp.v3_struct_0 @t2)) % 34.73/34.92 (define @t18 () (not @t17)) % 34.73/34.92 (define @t19 () (and @t18 @t16)) % 34.73/34.92 (define @t20 () (=> @t19 @t15)) % 34.73/34.92 (define @t21 () (@list @t2)) % 34.73/34.92 (define @t22 () (forall @t21 @t20)) % 34.73/34.92 (define @t23 () (tptp.l1_waybel_0 @t5 @t6)) % 34.73/34.92 (define @t24 () (tptp.v3_struct_0 @t5)) % 34.73/34.92 (define @t25 () (not @t24)) % 34.73/34.92 (define @t26 () (and @t25 @t23)) % 34.73/34.92 (define @t27 () (=> @t26 @t22)) % 34.73/34.92 (define @t28 () (@list @t5)) % 34.73/34.92 (define @t29 () (forall @t28 @t27)) % 34.73/34.92 (define @t30 () (tptp.l1_struct_0 @t3)) % 34.73/34.92 (define @t31 () (tptp.v3_struct_0 @t3)) % 34.73/34.92 (define @t32 () (not @t31)) % 34.73/34.92 (define @t33 () (and @t32 @t30)) % 34.73/34.92 (define @t34 () (=> @t33 @t29)) % 34.73/34.92 (define @t35 () (@list @t3)) % 34.73/34.92 (define @t36 () (forall @t35 @t34)) % 34.73/34.92 (define @t37 () (tptp.l1_struct_0 @t6)) % 34.73/34.92 (define @t38 () (tptp.v3_struct_0 @t6)) % 34.73/34.92 (define @t39 () (not @t38)) % 34.73/34.92 (define @t40 () (and @t39 @t37)) % 34.73/34.92 (define @t41 () (=> @t40 @t36)) % 34.73/34.92 (define @t42 () (@list @t6)) % 34.73/34.92 (define @t43 () (forall @t42 @t41)) % 34.73/34.92 (define @t44 () (not @t43)) % 34.73/34.92 (define @t45 () (tptp.u1_orders_2 @t6)) % 34.73/34.92 (define @t46 () (tptp.u1_struct_0 @t6)) % 34.73/34.92 (define @t47 () (tptp.g1_orders_2 @t46 @t45)) % 34.73/34.92 (define @t48 () (tptp.l1_orders_2 @t6)) % 34.73/34.92 (define @t49 () (tptp.r2_hidden @t6 @t3)) % 34.73/34.92 (define @t50 () (@list @t6 @t3)) % 34.73/34.92 (define @t51 () (tptp.v1_finset_1 @t6)) % 34.73/34.92 (define @t52 () (tptp.v1_xboole_0 @t6)) % 34.73/34.92 (define @t53 () (tptp.v1_funct_1 @t6)) % 34.73/34.92 (define @t54 () (tptp.v1_relat_1 @t6)) % 34.73/34.92 (define @t55 () (tptp.k2_zfmisc_1 @t6 @t3)) % 34.73/34.92 (define @t56 () (tptp.m1_subset_1 @t5 (tptp.k1_zfmisc_1 @t55))) % 34.73/34.92 (define @t57 () (@list @t6 @t3 @t5)) % 34.73/34.92 (define @t58 () (tptp.v1_finset_1 @t3)) % 34.73/34.92 (define @t59 () (tptp.k1_zfmisc_1 @t6)) % 34.73/34.92 (define @t60 () (tptp.m1_subset_1 @t3 @t59)) % 34.73/34.92 (define @t61 () (and @t54 @t53 (tptp.v2_funct_1 @t6))) % 34.73/34.92 (define @t62 () (and @t54 @t52 @t53)) % 34.73/34.92 (define @t63 () (tptp.k3_waybel_0 @t6 @t3 @t1)) % 34.73/34.92 (define @t64 () (tptp.r2_hidden @t63 @t5)) % 34.73/34.92 (define @t65 () (tptp.r1_orders_2 @t3 @t2 @t1)) % 34.73/34.92 (define @t66 () (=> @t65 @t64)) % 34.73/34.92 (define @t67 () (tptp.u1_struct_0 @t3)) % 34.73/34.92 (define @t68 () (tptp.m1_subset_1 @t1 @t67)) % 34.73/34.92 (define @t69 () (forall @t8 (=> @t68 @t66))) % 34.73/34.92 (define @t70 () (tptp.m1_subset_1 @t2 @t67)) % 34.73/34.92 (define @t71 () (and @t70 @t69)) % 34.73/34.92 (define @t72 () (exists @t21 @t71)) % 34.73/34.92 (define @t73 () (tptp.r1_waybel_0 @t6 @t3 @t5)) % 34.73/34.92 (define @t74 () (= @t73 @t72)) % 34.73/34.92 (define @t75 () (forall @t28 @t74)) % 34.73/34.92 (define @t76 () (tptp.l1_waybel_0 @t3 @t6)) % 34.73/34.92 (define @t77 () (and @t32 @t76)) % 34.73/34.92 (define @t78 () (=> @t77 @t75)) % 34.73/34.92 (define @t79 () (forall @t35 @t78)) % 34.73/34.92 (define @t80 () (=> @t40 @t79)) % 34.73/34.92 (define @t81 () (forall @t42 @t80)) % 34.73/34.92 (define @t82 () (tptp.u1_waybel_0 @t6 @t3)) % 34.73/34.92 (define @t83 () (tptp.k3_waybel_0 @t6 @t3 @t5)) % 34.73/34.92 (define @t84 () (= @t83 (tptp.k1_waybel_0 @t3 @t6 @t82 @t5))) % 34.73/34.92 (define @t85 () (tptp.m1_subset_1 @t5 @t67)) % 34.73/34.92 (define @t86 () (forall @t28 (=> @t85 @t84))) % 34.73/34.92 (define @t87 () (=> @t77 @t86)) % 34.73/34.92 (define @t88 () (forall @t35 @t87)) % 34.73/34.92 (define @t89 () (=> @t40 @t88)) % 34.73/34.92 (define @t90 () (forall @t42 @t89)) % 34.73/34.92 (define @t91 () (tptp.g1_orders_2 @t6 @t3)) % 34.73/34.92 (define @t92 () (tptp.m1_relset_1 @t3 @t6 @t6)) % 34.73/34.92 (define @t93 () (tptp.k1_waybel_0 @t6 @t3 @t5 @t2)) % 34.73/34.92 (define @t94 () (tptp.m1_subset_1 @t2 @t46)) % 34.73/34.92 (define @t95 () (tptp.m1_relset_1 @t5 @t46 @t67)) % 34.73/34.92 (define @t96 () (tptp.v1_funct_2 @t5 @t46 @t67)) % 34.73/34.92 (define @t97 () (tptp.v1_funct_1 @t5)) % 34.73/34.92 (define @t98 () (and @t39 @t37 @t32 @t30 @t97 @t96 @t95 @t94)) % 34.73/34.92 (define @t99 () (@list @t6 @t3 @t5 @t2)) % 34.73/34.92 (define @t100 () (tptp.k7_yellow_2 @t6 @t3 @t5 @t2)) % 34.73/34.92 (define @t101 () (not @t52)) % 34.73/34.92 (define @t102 () (and @t101 @t32 @t30 @t97 (tptp.v1_funct_2 @t5 @t6 @t67) (tptp.m1_relset_1 @t5 @t6 @t67) (tptp.m1_subset_1 @t2 @t6))) % 34.73/34.92 (define @t103 () (forall @t42 (=> @t48 @t37))) % 34.73/34.92 (define @t104 () (tptp.l1_orders_2 @t3)) % 34.73/34.92 (define @t105 () (forall @t35 (=> @t76 @t104))) % 34.73/34.92 (define @t106 () (=> @t37 @t105)) % 34.73/34.92 (define @t107 () (forall @t42 @t106)) % 34.73/34.92 (define @t108 () (tptp.m2_relset_1 @t5 @t6 @t3)) % 34.73/34.92 (define @t109 () (tptp.m2_relset_1 @t45 @t46 @t46)) % 34.73/34.92 (define @t110 () (forall @t42 (=> @t48 @t109))) % 34.73/34.92 (define @t111 () (tptp.v1_funct_2 @t82 @t67 @t46)) % 34.73/34.92 (define @t112 () (tptp.v1_funct_1 @t82)) % 34.73/34.92 (define @t113 () (and @t112 @t111 (tptp.m2_relset_1 @t82 @t67 @t46))) % 34.73/34.92 (define @t114 () (and @t37 @t76)) % 34.73/34.92 (define @t115 () (forall @t50 (=> @t114 @t113))) % 34.73/34.92 (define @t116 () (tptp.m1_relset_1 @t5 @t6 @t3)) % 34.73/34.92 (define @t117 () (tptp.v1_relat_1 tptp.k1_xboole_0)) % 34.73/34.92 (define @t118 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 34.73/34.92 (define @t119 () (tptp.v1_xboole_0 @t3)) % 34.73/34.92 (define @t120 () (not @t119)) % 34.73/34.92 (define @t121 () (and (= @t6 @t5) (= @t3 @t2))) % 34.73/34.92 (define @t122 () (= @t91 (tptp.g1_orders_2 @t5 @t2))) % 34.73/34.92 (define @t123 () (@list @t5 @t2)) % 34.73/34.92 (define @t124 () (forall @t123 (=> @t122 @t121))) % 34.73/34.92 (define @t125 () (=> @t92 @t124)) % 34.73/34.92 (define @t126 () (forall @t50 @t125)) % 34.73/34.92 (define @t127 () (tptp.m1_subset_1 @t5 @t46)) % 34.73/34.92 (define @t128 () (tptp.v3_relat_1 @t6)) % 34.73/34.92 (define @t129 () (tptp.k1_zfmisc_1 @t46)) % 34.73/34.92 (define @t130 () (tptp.k1_funct_1 @t5 @t2)) % 34.73/34.92 (define @t131 () (= @t93 @t130)) % 34.73/34.92 (define @t132 () (forall @t99 (=> @t98 @t131))) % 34.73/34.92 (define @t133 () (forall @t57 (= @t108 @t116))) % 34.73/34.92 (define @t134 () (tptp.m1_subset_1 @t6 @t3)) % 34.73/34.92 (define @t135 () (forall @t50 (=> @t49 @t134))) % 34.73/34.92 (define @t136 () (@var "F" $$unsorted)) % 34.73/34.92 (define @t137 () (tptp.r2_orders_2 @t3 @t1 @t136)) % 34.73/34.92 (define @t138 () (tptp.r2_orders_2 @t6 @t5 @t2)) % 34.73/34.92 (define @t139 () (tptp.r1_orders_2 @t3 @t1 @t136)) % 34.73/34.92 (define @t140 () (tptp.r1_orders_2 @t6 @t5 @t2)) % 34.73/34.92 (define @t141 () (and (=> @t140 @t139) (=> @t138 @t137))) % 34.73/34.92 (define @t142 () (= @t2 @t136)) % 34.73/34.92 (define @t143 () (= @t5 @t1)) % 34.73/34.92 (define @t144 () (and @t143 @t142)) % 34.73/34.92 (define @t145 () (=> @t144 @t141)) % 34.73/34.92 (define @t146 () (tptp.m1_subset_1 @t136 @t67)) % 34.73/34.92 (define @t147 () (@list @t136)) % 34.73/34.92 (define @t148 () (forall @t147 (=> @t146 @t145))) % 34.73/34.92 (define @t149 () (=> @t68 @t148)) % 34.73/34.92 (define @t150 () (forall @t8 @t149)) % 34.73/34.92 (define @t151 () (=> @t94 @t150)) % 34.73/34.92 (define @t152 () (forall @t21 @t151)) % 34.73/34.92 (define @t153 () (=> @t127 @t152)) % 34.73/34.92 (define @t154 () (forall @t28 @t153)) % 34.73/34.92 (define @t155 () (= @t47 (tptp.g1_orders_2 @t67 (tptp.u1_orders_2 @t3)))) % 34.73/34.92 (define @t156 () (=> @t155 @t154)) % 34.73/34.92 (define @t157 () (=> @t104 @t156)) % 34.73/34.92 (define @t158 () (forall @t35 @t157)) % 34.73/34.92 (define @t159 () (=> @t48 @t158)) % 34.73/34.92 (define @t160 () (forall @t42 @t159)) % 34.73/34.92 (define @t161 () (or @t119 @t49)) % 34.73/34.92 (define @t162 () (forall @t50 (=> @t134 @t161))) % 34.73/34.92 (define @t163 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t5))) % 34.73/34.92 (define @t164 () (forall @t50 (not (and @t49 @t119)))) % 34.73/34.92 (define @t165 () (@var "BOUND_VARIABLE_7910" $$unsorted)) % 34.73/34.92 (define @t166 () (@var "BOUND_VARIABLE_7908" $$unsorted)) % 34.73/34.92 (define @t167 () (@var "BOUND_VARIABLE_7904" $$unsorted)) % 34.73/34.92 (define @t168 () (tptp.r1_waybel_0 @t167 @t166 @t165)) % 34.73/34.92 (define @t169 () (@var "BOUND_VARIABLE_7906" $$unsorted)) % 34.73/34.92 (define @t170 () (not (tptp.r1_waybel_0 @t6 @t169 @t165))) % 34.73/34.92 (define @t171 () (not (= (tptp.u1_waybel_0 @t6 @t169) (tptp.u1_waybel_0 @t167 @t166)))) % 34.73/34.92 (define @t172 () (not (= (tptp.g1_orders_2 (tptp.u1_struct_0 @t169) (tptp.u1_orders_2 @t169)) (tptp.g1_orders_2 (tptp.u1_struct_0 @t166) (tptp.u1_orders_2 @t166))))) % 34.73/34.92 (define @t173 () (not (tptp.l1_waybel_0 @t166 @t167))) % 34.73/34.92 (define @t174 () (tptp.v3_struct_0 @t166)) % 34.73/34.92 (define @t175 () (not (tptp.l1_waybel_0 @t169 @t6))) % 34.73/34.92 (define @t176 () (tptp.v3_struct_0 @t169)) % 34.73/34.92 (define @t177 () (not (tptp.l1_struct_0 @t167))) % 34.73/34.92 (define @t178 () (tptp.v3_struct_0 @t167)) % 34.73/34.92 (define @t179 () (not @t37)) % 34.73/34.92 (define @t180 () (or @t38 @t179 @t178 @t177 @t176 @t175 @t174 @t173 @t172 @t171 @t170 @t168)) % 34.73/34.92 (define @t181 () (@list @t6 @t167 @t169 @t166 @t165)) % 34.73/34.92 (define @t182 () (forall @t181 @t180)) % 34.73/34.92 (define @t183 () (@quantifiers_skolemize @t182 4)) % 34.73/34.92 (define @t184 () (@quantifiers_skolemize @t182 3)) % 34.73/34.92 (define @t185 () (@quantifiers_skolemize @t182 1)) % 34.73/34.92 (define @t186 () (tptp.r2_hidden (tptp.k3_waybel_0 @t185 @t184 @t1) @t183)) % 34.73/34.92 (define @t187 () (@quantifiers_skolemize @t182 2)) % 34.73/34.92 (define @t188 () (@quantifiers_skolemize @t182 0)) % 34.73/34.92 (define @t189 () (tptp.r2_hidden (tptp.k3_waybel_0 @t188 @t187 @t1) @t183)) % 34.73/34.92 (define @t190 () (tptp.u1_struct_0 @t187)) % 34.73/34.92 (define @t191 () (not (tptp.m1_subset_1 @t1 @t190))) % 34.73/34.92 (define @t192 () (forall @t21 (or (not (tptp.m1_subset_1 @t2 @t190)) (not (forall @t8 (or @t191 (not (tptp.r1_orders_2 @t187 @t2 @t1)) @t189)))))) % 34.73/34.92 (define @t193 () (@quantifiers_skolemize @t192 0)) % 34.73/34.92 (define @t194 () (tptp.u1_struct_0 @t184)) % 34.73/34.92 (define @t195 () (not (tptp.m1_subset_1 @t1 @t194))) % 34.73/34.92 (define @t196 () (forall @t8 (or @t195 (not (tptp.r1_orders_2 @t184 @t193 @t1)) @t186))) % 34.73/34.92 (define @t197 () (@quantifiers_skolemize @t196 0)) % 34.73/34.92 (define @t198 () (tptp.k3_waybel_0 @t188 @t187 @t197)) % 34.73/34.92 (define @t199 () (@list @t198 @t183)) % 34.73/34.92 (define @t200 () (@var "BOUND_VARIABLE_8038" $$unsorted)) % 34.73/34.92 (define @t201 () (@var "BOUND_VARIABLE_8036" $$unsorted)) % 34.73/34.92 (define @t202 () (tptp.u1_struct_0 @t201)) % 34.73/34.92 (define @t203 () (= (tptp.r1_waybel_0 @t6 @t201 @t200) (not (forall @t21 (or (not (tptp.m1_subset_1 @t2 @t202)) (not (forall @t8 (or (not (tptp.m1_subset_1 @t1 @t202)) (not (tptp.r1_orders_2 @t201 @t2 @t1)) (tptp.r2_hidden (tptp.k3_waybel_0 @t6 @t201 @t1) @t200))))))))) % 34.73/34.92 (define @t204 () (not (tptp.l1_waybel_0 @t201 @t6))) % 34.73/34.92 (define @t205 () (tptp.v3_struct_0 @t201)) % 34.73/34.92 (define @t206 () (or @t205 @t204 @t203)) % 34.73/34.92 (define @t207 () (or @t38 @t179 @t206)) % 34.73/34.92 (define @t208 () (forall (@list @t6 @t201 @t200) @t207)) % 34.73/34.92 (define @t209 () (@list @t201 @t200)) % 34.73/34.92 (define @t210 () (forall @t209 @t207)) % 34.73/34.92 (define @t211 () (forall @t209 @t206)) % 34.73/34.92 (define @t212 () (@var "BOUND_VARIABLE_8018" $$unsorted)) % 34.73/34.92 (define @t213 () (or @t38 @t179 @t211)) % 34.73/34.92 (define @t214 () (not @t65)) % 34.73/34.92 (define @t215 () (not @t68)) % 34.73/34.92 (define @t216 () (not @t70)) % 34.73/34.92 (define @t217 () (= (tptp.r1_waybel_0 @t6 @t3 @t212) (not (forall @t21 (or @t216 (not (forall @t8 (or @t215 @t214 (tptp.r2_hidden @t63 @t212))))))))) % 34.73/34.92 (define @t218 () (not @t76)) % 34.73/34.92 (define @t219 () (or @t31 @t218 @t217)) % 34.73/34.92 (define @t220 () (forall (@list @t3 @t212) @t219)) % 34.73/34.92 (define @t221 () (or @t38 @t179 @t220)) % 34.73/34.92 (define @t222 () (or @t38 @t179)) % 34.73/34.92 (define @t223 () (not @t39)) % 34.73/34.92 (define @t224 () (not @t40)) % 34.73/34.92 (define @t225 () (@list @t212)) % 34.73/34.92 (define @t226 () (forall @t225 @t219)) % 34.73/34.92 (define @t227 () (forall @t225 @t217)) % 34.73/34.92 (define @t228 () (@list @t5)) % 34.73/34.92 (define @t229 () (or @t31 @t218 @t227)) % 34.73/34.92 (define @t230 () (or @t215 @t214 @t64)) % 34.73/34.92 (define @t231 () (forall @t8 @t230)) % 34.73/34.92 (define @t232 () (forall @t28 (= @t73 (not (forall @t21 (or @t216 (not @t231))))))) % 34.73/34.92 (define @t233 () (or @t31 @t218 @t232)) % 34.73/34.92 (define @t234 () (or @t31 @t218)) % 34.73/34.92 (define @t235 () (not @t32)) % 34.73/34.92 (define @t236 () (not @t77)) % 34.73/34.92 (define @t237 () (and @t70 @t231)) % 34.73/34.92 (define @t238 () (forall @t21 (not @t237))) % 34.73/34.92 (define @t239 () (not @t238)) % 34.73/34.92 (define @t240 () (or @t178 @t177 @t176 @t175 @t174 @t173 @t172 @t171 @t170 @t168)) % 34.73/34.92 (define @t241 () (or @t38 @t179 @t240)) % 34.73/34.92 (define @t242 () (forall @t181 @t241)) % 34.73/34.92 (define @t243 () (@list @t167 @t169 @t166 @t165)) % 34.73/34.92 (define @t244 () (forall @t243 @t241)) % 34.73/34.92 (define @t245 () (forall @t243 @t240)) % 34.73/34.92 (define @t246 () (@var "BOUND_VARIABLE_7868" $$unsorted)) % 34.73/34.92 (define @t247 () (@var "BOUND_VARIABLE_7866" $$unsorted)) % 34.73/34.92 (define @t248 () (@var "BOUND_VARIABLE_7864" $$unsorted)) % 34.73/34.92 (define @t249 () (or @t38 @t179 @t245)) % 34.73/34.92 (define @t250 () (tptp.r1_waybel_0 @t3 @t247 @t246)) % 34.73/34.92 (define @t251 () (not (tptp.r1_waybel_0 @t6 @t248 @t246))) % 34.73/34.92 (define @t252 () (not (= (tptp.u1_waybel_0 @t6 @t248) (tptp.u1_waybel_0 @t3 @t247)))) % 34.73/34.92 (define @t253 () (not (= (tptp.g1_orders_2 (tptp.u1_struct_0 @t248) (tptp.u1_orders_2 @t248)) (tptp.g1_orders_2 (tptp.u1_struct_0 @t247) (tptp.u1_orders_2 @t247))))) % 34.73/34.92 (define @t254 () (not (tptp.l1_waybel_0 @t247 @t3))) % 34.73/34.92 (define @t255 () (tptp.v3_struct_0 @t247)) % 34.73/34.92 (define @t256 () (not (tptp.l1_waybel_0 @t248 @t6))) % 34.73/34.92 (define @t257 () (tptp.v3_struct_0 @t248)) % 34.73/34.92 (define @t258 () (not @t30)) % 34.73/34.92 (define @t259 () (or @t31 @t258 @t257 @t256 @t255 @t254 @t253 @t252 @t251 @t250)) % 34.73/34.92 (define @t260 () (@list @t3 @t248 @t247 @t246)) % 34.73/34.92 (define @t261 () (forall @t260 @t259)) % 34.73/34.92 (define @t262 () (or @t38 @t179 @t261)) % 34.73/34.92 (define @t263 () (or @t257 @t256 @t255 @t254 @t253 @t252 @t251 @t250)) % 34.73/34.92 (define @t264 () (or @t31 @t258 @t263)) % 34.73/34.92 (define @t265 () (forall @t260 @t264)) % 34.73/34.92 (define @t266 () (@list @t248 @t247 @t246)) % 34.73/34.92 (define @t267 () (forall @t266 @t264)) % 34.73/34.92 (define @t268 () (forall @t266 @t263)) % 34.73/34.92 (define @t269 () (@var "BOUND_VARIABLE_7835" $$unsorted)) % 34.73/34.92 (define @t270 () (@var "BOUND_VARIABLE_7833" $$unsorted)) % 34.73/34.92 (define @t271 () (or @t31 @t258 @t268)) % 34.73/34.92 (define @t272 () (tptp.r1_waybel_0 @t3 @t270 @t269)) % 34.73/34.92 (define @t273 () (not (tptp.r1_waybel_0 @t6 @t5 @t269))) % 34.73/34.92 (define @t274 () (not (= @t10 (tptp.u1_waybel_0 @t3 @t270)))) % 34.73/34.92 (define @t275 () (not (= @t12 (tptp.g1_orders_2 (tptp.u1_struct_0 @t270) (tptp.u1_orders_2 @t270))))) % 34.73/34.92 (define @t276 () (not (tptp.l1_waybel_0 @t270 @t3))) % 34.73/34.92 (define @t277 () (tptp.v3_struct_0 @t270)) % 34.73/34.92 (define @t278 () (not @t23)) % 34.73/34.92 (define @t279 () (or @t24 @t278 @t277 @t276 @t275 @t274 @t273 @t272)) % 34.73/34.92 (define @t280 () (@list @t5 @t270 @t269)) % 34.73/34.92 (define @t281 () (forall @t280 @t279)) % 34.73/34.92 (define @t282 () (or @t31 @t258 @t281)) % 34.73/34.92 (define @t283 () (or @t277 @t276 @t275 @t274 @t273 @t272)) % 34.73/34.92 (define @t284 () (or @t24 @t278 @t283)) % 34.73/34.92 (define @t285 () (forall @t280 @t284)) % 34.73/34.92 (define @t286 () (@list @t270 @t269)) % 34.73/34.92 (define @t287 () (forall @t286 @t284)) % 34.73/34.92 (define @t288 () (forall @t286 @t283)) % 34.73/34.92 (define @t289 () (@var "BOUND_VARIABLE_7815" $$unsorted)) % 34.73/34.92 (define @t290 () (or @t24 @t278 @t288)) % 34.73/34.92 (define @t291 () (tptp.r1_waybel_0 @t3 @t2 @t289)) % 34.73/34.92 (define @t292 () (not (tptp.r1_waybel_0 @t6 @t5 @t289))) % 34.73/34.92 (define @t293 () (not @t11)) % 34.73/34.92 (define @t294 () (not @t13)) % 34.73/34.92 (define @t295 () (not @t16)) % 34.73/34.92 (define @t296 () (or @t17 @t295 @t294 @t293 @t292 @t291)) % 34.73/34.92 (define @t297 () (@list @t2 @t289)) % 34.73/34.92 (define @t298 () (forall @t297 @t296)) % 34.73/34.92 (define @t299 () (or @t24 @t278 @t298)) % 34.73/34.92 (define @t300 () (or @t292 @t291)) % 34.73/34.92 (define @t301 () (or @t17 @t295 @t294 @t293 @t300)) % 34.73/34.92 (define @t302 () (forall @t297 @t301)) % 34.73/34.92 (define @t303 () (@list @t289)) % 34.73/34.92 (define @t304 () (forall @t303 @t301)) % 34.73/34.92 (define @t305 () (forall @t303 @t300)) % 34.73/34.92 (define @t306 () (or @t17 @t295 @t294 @t293 @t305)) % 34.73/34.92 (define @t307 () (forall @t8 (or (not @t7) @t4))) % 34.73/34.92 (define @t308 () (or @t17 @t295 @t294 @t293 @t307)) % 34.73/34.92 (define @t309 () (or @t294 @t293 @t307)) % 34.73/34.92 (define @t310 () (=> @t14 @t307)) % 34.73/34.92 (define @t311 () (tptp.l1_waybel_0 @t187 @t188)) % 34.73/34.92 (define @t312 () (tptp.r1_waybel_0 @t185 @t184 @t183)) % 34.73/34.92 (define @t313 () (tptp.r1_waybel_0 @t188 @t187 @t183)) % 34.73/34.92 (define @t314 () (not @t313)) % 34.73/34.92 (define @t315 () (tptp.u1_waybel_0 @t185 @t184)) % 34.73/34.92 (define @t316 () (tptp.u1_waybel_0 @t188 @t187)) % 34.73/34.92 (define @t317 () (= @t316 @t315)) % 34.73/34.92 (define @t318 () (not @t317)) % 34.73/34.92 (define @t319 () (tptp.u1_orders_2 @t184)) % 34.73/34.92 (define @t320 () (tptp.g1_orders_2 @t194 @t319)) % 34.73/34.92 (define @t321 () (tptp.u1_orders_2 @t187)) % 34.73/34.92 (define @t322 () (tptp.g1_orders_2 @t190 @t321)) % 34.73/34.92 (define @t323 () (= @t322 @t320)) % 34.73/34.92 (define @t324 () (not @t323)) % 34.73/34.92 (define @t325 () (tptp.l1_waybel_0 @t184 @t185)) % 34.73/34.92 (define @t326 () (not @t325)) % 34.73/34.92 (define @t327 () (tptp.v3_struct_0 @t184)) % 34.73/34.92 (define @t328 () (not @t311)) % 34.73/34.92 (define @t329 () (tptp.v3_struct_0 @t187)) % 34.73/34.92 (define @t330 () (tptp.l1_struct_0 @t185)) % 34.73/34.92 (define @t331 () (not @t330)) % 34.73/34.92 (define @t332 () (tptp.v3_struct_0 @t185)) % 34.73/34.92 (define @t333 () (tptp.l1_struct_0 @t188)) % 34.73/34.92 (define @t334 () (not @t333)) % 34.73/34.92 (define @t335 () (tptp.v3_struct_0 @t188)) % 34.73/34.92 (define @t336 () (or @t335 @t334 @t332 @t331 @t329 @t328 @t327 @t326 @t324 @t318 @t314 @t312)) % 34.73/34.92 (define @t337 () (@list true)) % 34.73/34.92 (define @t338 () (@list @t336)) % 34.73/34.92 (define @t339 () (not @t192)) % 34.73/34.92 (define @t340 () (= @t313 @t339)) % 34.73/34.92 (define @t341 () (or @t335 @t334 @t329 @t328 @t340)) % 34.73/34.92 (define @t342 () (@list true false true false false)) % 34.73/34.92 (define @t343 () (@list false false)) % 34.73/34.92 (define @t344 () (forall @t8 (or @t191 (not (tptp.r1_orders_2 @t187 @t193 @t1)) @t189))) % 34.73/34.92 (define @t345 () (not @t344)) % 34.73/34.92 (define @t346 () (tptp.m1_subset_1 @t193 @t190)) % 34.73/34.92 (define @t347 () (not @t346)) % 34.73/34.92 (define @t348 () (or @t347 @t345)) % 34.73/34.92 (define @t349 () (@list @t348)) % 34.73/34.92 (define @t350 () (@var "BOUND_VARIABLE_8507" $$unsorted)) % 34.73/34.92 (define @t351 () (@var "BOUND_VARIABLE_8505" $$unsorted)) % 34.73/34.92 (define @t352 () (@var "BOUND_VARIABLE_8503" $$unsorted)) % 34.73/34.92 (define @t353 () (and (or (not (tptp.r1_orders_2 @t6 @t351 @t350)) (tptp.r1_orders_2 @t352 @t351 @t350)) (or (not (tptp.r2_orders_2 @t6 @t351 @t350)) (tptp.r2_orders_2 @t352 @t351 @t350)))) % 34.73/34.92 (define @t354 () (tptp.u1_struct_0 @t352)) % 34.73/34.92 (define @t355 () (not (tptp.m1_subset_1 @t350 @t354))) % 34.73/34.92 (define @t356 () (not (tptp.m1_subset_1 @t350 @t46))) % 34.73/34.92 (define @t357 () (not (tptp.m1_subset_1 @t351 @t354))) % 34.73/34.92 (define @t358 () (not (tptp.m1_subset_1 @t351 @t46))) % 34.73/34.92 (define @t359 () (not (= @t47 (tptp.g1_orders_2 @t354 (tptp.u1_orders_2 @t352))))) % 34.73/34.92 (define @t360 () (not (tptp.l1_orders_2 @t352))) % 34.73/34.92 (define @t361 () (not @t48)) % 34.73/34.92 (define @t362 () (or @t361 @t360 @t359 @t358 @t357 @t356 @t355 @t353)) % 34.73/34.92 (define @t363 () (or @t360 @t359 @t358 @t357 @t356 @t355 @t353)) % 34.73/34.92 (define @t364 () (or @t361 @t363)) % 34.73/34.92 (define @t365 () (@list @t6 @t352 @t351 @t350)) % 34.73/34.92 (define @t366 () (forall @t365 @t364)) % 34.73/34.92 (define @t367 () (@list @t352 @t351 @t350)) % 34.73/34.92 (define @t368 () (forall @t367 @t364)) % 34.73/34.92 (define @t369 () (forall @t367 @t363)) % 34.73/34.92 (define @t370 () (@var "BOUND_VARIABLE_8474" $$unsorted)) % 34.73/34.92 (define @t371 () (@var "BOUND_VARIABLE_8472" $$unsorted)) % 34.73/34.92 (define @t372 () (or @t361 @t369)) % 34.73/34.92 (define @t373 () (and (or (not (tptp.r1_orders_2 @t6 @t371 @t370)) (tptp.r1_orders_2 @t3 @t371 @t370)) (or (not (tptp.r2_orders_2 @t6 @t371 @t370)) (tptp.r2_orders_2 @t3 @t371 @t370)))) % 34.73/34.92 (define @t374 () (not (tptp.m1_subset_1 @t370 @t67))) % 34.73/34.92 (define @t375 () (not (tptp.m1_subset_1 @t370 @t46))) % 34.73/34.92 (define @t376 () (not (tptp.m1_subset_1 @t371 @t67))) % 34.73/34.92 (define @t377 () (not (tptp.m1_subset_1 @t371 @t46))) % 34.73/34.92 (define @t378 () (not @t155)) % 34.73/34.92 (define @t379 () (not @t104)) % 34.73/34.92 (define @t380 () (or @t379 @t378 @t377 @t376 @t375 @t374 @t373)) % 34.73/34.92 (define @t381 () (@list @t3 @t371 @t370)) % 34.73/34.92 (define @t382 () (forall @t381 @t380)) % 34.73/34.92 (define @t383 () (or @t377 @t376 @t375 @t374 @t373)) % 34.73/34.92 (define @t384 () (or @t379 @t378 @t383)) % 34.73/34.92 (define @t385 () (forall @t381 @t384)) % 34.73/34.92 (define @t386 () (@list @t371 @t370)) % 34.73/34.92 (define @t387 () (forall @t386 @t384)) % 34.73/34.92 (define @t388 () (forall @t386 @t383)) % 34.73/34.92 (define @t389 () (@var "BOUND_VARIABLE_8443" $$unsorted)) % 34.73/34.92 (define @t390 () (or @t379 @t378 @t388)) % 34.73/34.92 (define @t391 () (and (or (not (tptp.r1_orders_2 @t6 @t5 @t389)) (tptp.r1_orders_2 @t3 @t5 @t389)) (or (not (tptp.r2_orders_2 @t6 @t5 @t389)) (tptp.r2_orders_2 @t3 @t5 @t389)))) % 34.73/34.92 (define @t392 () (not (tptp.m1_subset_1 @t389 @t67))) % 34.73/34.92 (define @t393 () (not (tptp.m1_subset_1 @t389 @t46))) % 34.73/34.92 (define @t394 () (not @t85)) % 34.73/34.92 (define @t395 () (not @t127)) % 34.73/34.92 (define @t396 () (or @t395 @t394 @t393 @t392 @t391)) % 34.73/34.92 (define @t397 () (@list @t5 @t389)) % 34.73/34.92 (define @t398 () (forall @t397 @t396)) % 34.73/34.92 (define @t399 () (or @t379 @t378 @t398)) % 34.73/34.92 (define @t400 () (=> @t155 @t398)) % 34.73/34.92 (define @t401 () (or @t393 @t392 @t391)) % 34.73/34.92 (define @t402 () (or @t395 @t394 @t401)) % 34.73/34.92 (define @t403 () (forall @t397 @t402)) % 34.73/34.92 (define @t404 () (@list @t389)) % 34.73/34.92 (define @t405 () (forall @t404 @t402)) % 34.73/34.92 (define @t406 () (forall @t404 @t401)) % 34.73/34.92 (define @t407 () (or @t395 @t394 @t406)) % 34.73/34.92 (define @t408 () (not @t138)) % 34.73/34.92 (define @t409 () (not @t140)) % 34.73/34.92 (define @t410 () (and (or @t409 (tptp.r1_orders_2 @t3 @t5 @t2)) (or @t408 (tptp.r2_orders_2 @t3 @t5 @t2)))) % 34.73/34.92 (define @t411 () (not @t94)) % 34.73/34.92 (define @t412 () (or @t411 @t216 @t410)) % 34.73/34.92 (define @t413 () (forall @t21 @t412)) % 34.73/34.92 (define @t414 () (or @t395 @t394 @t413)) % 34.73/34.92 (define @t415 () (or @t394 @t413)) % 34.73/34.92 (define @t416 () (or @t394 @t412)) % 34.73/34.92 (define @t417 () (or @t411 @t216 @t394 @t410)) % 34.73/34.92 (define @t418 () (or @t216 @t394 @t410)) % 34.73/34.92 (define @t419 () (or @t394 @t410)) % 34.73/34.92 (define @t420 () (not (= @t5 @t5))) % 34.73/34.92 (define @t421 () (or @t394 @t420 @t410)) % 34.73/34.92 (define @t422 () (and (or @t409 (tptp.r1_orders_2 @t3 @t1 @t2)) (or @t408 (tptp.r2_orders_2 @t3 @t1 @t2)))) % 34.73/34.92 (define @t423 () (not @t143)) % 34.73/34.92 (define @t424 () (or @t423 @t215 @t423 @t422)) % 34.73/34.92 (define @t425 () (or @t215 @t423 @t422)) % 34.73/34.92 (define @t426 () (forall @t8 @t425)) % 34.73/34.92 (define @t427 () (or @t216 @t426)) % 34.73/34.92 (define @t428 () (or @t216 @t425)) % 34.73/34.92 (define @t429 () (or @t215 @t423 @t216 @t422)) % 34.73/34.92 (define @t430 () (or @t423 @t216 @t422)) % 34.73/34.92 (define @t431 () (or @t216 @t422)) % 34.73/34.92 (define @t432 () (not (= @t2 @t2))) % 34.73/34.92 (define @t433 () (or @t216 @t432 @t422)) % 34.73/34.92 (define @t434 () (and (or @t409 @t139) (or @t408 @t137))) % 34.73/34.92 (define @t435 () (not @t142)) % 34.73/34.92 (define @t436 () (not @t146)) % 34.73/34.92 (define @t437 () (or @t435 @t436 @t435 @t434)) % 34.73/34.92 (define @t438 () (or @t436 @t435 @t434)) % 34.73/34.92 (define @t439 () (forall @t147 @t438)) % 34.73/34.92 (define @t440 () (or @t423 @t439)) % 34.73/34.92 (define @t441 () (or @t423 @t438)) % 34.73/34.92 (define @t442 () (or @t436 @t423 @t435 @t434)) % 34.73/34.92 (define @t443 () (or @t423 @t435 @t434)) % 34.73/34.92 (define @t444 () (tptp.r1_orders_2 @t187 @t193 @t197)) % 34.73/34.92 (define @t445 () (tptp.r1_orders_2 @t184 @t193 @t197)) % 34.73/34.92 (define @t446 () (not @t445)) % 34.73/34.92 (define @t447 () (or @t446 @t444)) % 34.73/34.92 (define @t448 () (and @t447 (or (not (tptp.r2_orders_2 @t184 @t193 @t197)) (tptp.r2_orders_2 @t187 @t193 @t197)))) % 34.73/34.92 (define @t449 () (tptp.m1_subset_1 @t197 @t190)) % 34.73/34.92 (define @t450 () (not @t449)) % 34.73/34.92 (define @t451 () (tptp.m1_subset_1 @t197 @t194)) % 34.73/34.92 (define @t452 () (not @t451)) % 34.73/34.92 (define @t453 () (tptp.m1_subset_1 @t193 @t194)) % 34.73/34.92 (define @t454 () (not @t453)) % 34.73/34.92 (define @t455 () (not (= @t320 @t322))) % 34.73/34.92 (define @t456 () (tptp.l1_orders_2 @t187)) % 34.73/34.92 (define @t457 () (not @t456)) % 34.73/34.92 (define @t458 () (tptp.l1_orders_2 @t184)) % 34.73/34.92 (define @t459 () (not @t458)) % 34.73/34.92 (define @t460 () (or @t459 @t457 @t455 @t454 @t347 @t452 @t450 @t448)) % 34.73/34.92 (define @t461 () (forall @t365 @t362)) % 34.73/34.92 (define @t462 () (or @t459 @t457 @t324 @t454 @t347 @t452 @t450 @t448)) % 34.73/34.92 (define @t463 () (@list false)) % 34.73/34.92 (define @t464 () (forall @t21 (or (not (tptp.m1_subset_1 @t2 @t194)) (not (forall @t8 (or @t195 (not (tptp.r1_orders_2 @t184 @t2 @t1)) @t186)))))) % 34.73/34.92 (define @t465 () (not @t464)) % 34.73/34.92 (define @t466 () (= @t312 @t465)) % 34.73/34.92 (define @t467 () (or @t332 @t331 @t327 @t326 @t466)) % 34.73/34.92 (define @t468 () (not @t466)) % 34.73/34.92 (define @t469 () (@var "BOUND_VARIABLE_8226" $$unsorted)) % 34.73/34.92 (define @t470 () (@var "BOUND_VARIABLE_8224" $$unsorted)) % 34.73/34.92 (define @t471 () (and (= @t6 @t470) (= @t3 @t469))) % 34.73/34.92 (define @t472 () (not (= @t91 (tptp.g1_orders_2 @t470 @t469)))) % 34.73/34.92 (define @t473 () (not @t92)) % 34.73/34.92 (define @t474 () (or @t472 @t471)) % 34.73/34.92 (define @t475 () (or @t473 @t474)) % 34.73/34.92 (define @t476 () (forall (@list @t6 @t3 @t470 @t469) @t475)) % 34.73/34.92 (define @t477 () (@list @t470 @t469)) % 34.73/34.92 (define @t478 () (forall @t477 @t475)) % 34.73/34.92 (define @t479 () (forall @t477 @t474)) % 34.73/34.92 (define @t480 () (or @t473 @t479)) % 34.73/34.92 (define @t481 () (forall @t123 (or (not @t122) @t121))) % 34.73/34.92 (define @t482 () (tptp.m2_relset_1 @t321 @t190 @t190)) % 34.73/34.92 (define @t483 () (tptp.m1_relset_1 @t321 @t190 @t190)) % 34.73/34.92 (define @t484 () (= @t482 @t483)) % 34.73/34.92 (define @t485 () (= @t483 @t482)) % 34.73/34.92 (define @t486 () (@list @t187)) % 34.73/34.92 (define @t487 () (@var "BOUND_VARIABLE_8147" $$unsorted)) % 34.73/34.92 (define @t488 () (tptp.l1_orders_2 @t487)) % 34.73/34.92 (define @t489 () (not (tptp.l1_waybel_0 @t487 @t6))) % 34.73/34.92 (define @t490 () (or @t489 @t488)) % 34.73/34.92 (define @t491 () (or @t179 @t490)) % 34.73/34.92 (define @t492 () (forall (@list @t6 @t487) @t491)) % 34.73/34.92 (define @t493 () (@list @t487)) % 34.73/34.92 (define @t494 () (forall @t493 @t491)) % 34.73/34.92 (define @t495 () (forall @t493 @t490)) % 34.73/34.92 (define @t496 () (or @t179 @t495)) % 34.73/34.92 (define @t497 () (forall @t35 (or @t218 @t104))) % 34.73/34.92 (define @t498 () (@list @t188 @t187)) % 34.73/34.92 (define @t499 () (or @t334 @t328 @t456)) % 34.73/34.92 (define @t500 () (@list false false false)) % 34.73/34.92 (define @t501 () (or @t457 @t482)) % 34.73/34.92 (define @t502 () (= @t190 @t194)) % 34.73/34.92 (define @t503 () (and @t502 (= @t321 @t319))) % 34.73/34.92 (define @t504 () (not @t483)) % 34.73/34.92 (define @t505 () (or @t504 @t324 @t503)) % 34.73/34.92 (define @t506 () (not @t196)) % 34.73/34.92 (define @t507 () (or @t454 @t506)) % 34.73/34.92 (define @t508 () (tptp.k3_waybel_0 @t185 @t184 @t197)) % 34.73/34.92 (define @t509 () (tptp.r2_hidden @t508 @t183)) % 34.73/34.92 (define @t510 () (or @t452 @t446 @t509)) % 34.73/34.92 (define @t511 () (@list @t510)) % 34.73/34.92 (define @t512 () (@list @t185 @t184)) % 34.73/34.92 (define @t513 () (or @t331 @t326 @t458)) % 34.73/34.92 (define @t514 () (tptp.r2_hidden @t198 @t183)) % 34.73/34.92 (define @t515 () (not @t444)) % 34.73/34.92 (define @t516 () (or @t450 @t515 @t514)) % 34.73/34.92 (define @t517 () (tptp.m1_subset_1 @t198 @t183)) % 34.73/34.92 (define @t518 () (not @t514)) % 34.73/34.92 (define @t519 () (or @t518 @t517)) % 34.73/34.92 (define @t520 () (@var "BOUND_VARIABLE_8093" $$unsorted)) % 34.73/34.92 (define @t521 () (@var "BOUND_VARIABLE_8091" $$unsorted)) % 34.73/34.92 (define @t522 () (= (tptp.k3_waybel_0 @t6 @t521 @t520) (tptp.k1_waybel_0 @t521 @t6 (tptp.u1_waybel_0 @t6 @t521) @t520))) % 34.73/34.92 (define @t523 () (not (tptp.m1_subset_1 @t520 (tptp.u1_struct_0 @t521)))) % 34.73/34.92 (define @t524 () (not (tptp.l1_waybel_0 @t521 @t6))) % 34.73/34.92 (define @t525 () (tptp.v3_struct_0 @t521)) % 34.73/34.92 (define @t526 () (or @t525 @t524 @t523 @t522)) % 34.73/34.92 (define @t527 () (or @t38 @t179 @t526)) % 34.73/34.92 (define @t528 () (forall (@list @t6 @t521 @t520) @t527)) % 34.73/34.92 (define @t529 () (@list @t521 @t520)) % 34.73/34.92 (define @t530 () (forall @t529 @t527)) % 34.73/34.92 (define @t531 () (forall @t529 @t526)) % 34.73/34.92 (define @t532 () (@var "BOUND_VARIABLE_8074" $$unsorted)) % 34.73/34.92 (define @t533 () (or @t38 @t179 @t531)) % 34.73/34.92 (define @t534 () (= (tptp.k3_waybel_0 @t6 @t3 @t532) (tptp.k1_waybel_0 @t3 @t6 @t82 @t532))) % 34.73/34.92 (define @t535 () (not (tptp.m1_subset_1 @t532 @t67))) % 34.73/34.92 (define @t536 () (or @t31 @t218 @t535 @t534)) % 34.73/34.92 (define @t537 () (@list @t3 @t532)) % 34.73/34.92 (define @t538 () (forall @t537 @t536)) % 34.73/34.92 (define @t539 () (or @t38 @t179 @t538)) % 34.73/34.92 (define @t540 () (or @t535 @t534)) % 34.73/34.92 (define @t541 () (or @t31 @t218 @t540)) % 34.73/34.92 (define @t542 () (forall @t537 @t541)) % 34.73/34.92 (define @t543 () (@list @t532)) % 34.73/34.92 (define @t544 () (forall @t543 @t541)) % 34.73/34.92 (define @t545 () (forall @t543 @t540)) % 34.73/34.92 (define @t546 () (or @t31 @t218 @t545)) % 34.73/34.92 (define @t547 () (forall @t28 (or @t394 @t84))) % 34.73/34.92 (define @t548 () (or @t31 @t218 @t547)) % 34.73/34.92 (define @t549 () (tptp.k1_waybel_0 @t187 @t188 @t316 @t197)) % 34.73/34.92 (define @t550 () (= @t198 @t549)) % 34.73/34.92 (define @t551 () (or @t335 @t334 @t329 @t328 @t450 @t550)) % 34.73/34.92 (define @t552 () (@list true false true false false false)) % 34.73/34.92 (define @t553 () (not @t95)) % 34.73/34.92 (define @t554 () (not @t96)) % 34.73/34.92 (define @t555 () (not @t97)) % 34.73/34.92 (define @t556 () (or @t223 @t179 @t235 @t258 @t555 @t554 @t553 @t411)) % 34.73/34.92 (define @t557 () (tptp.u1_struct_0 @t188)) % 34.73/34.92 (define @t558 () (tptp.m2_relset_1 @t316 @t190 @t557)) % 34.73/34.92 (define @t559 () (tptp.v1_funct_2 @t316 @t190 @t557)) % 34.73/34.92 (define @t560 () (tptp.v1_funct_1 @t316)) % 34.73/34.92 (define @t561 () (and @t560 @t559 @t558)) % 34.73/34.92 (define @t562 () (or @t334 @t328 @t561)) % 34.73/34.92 (define @t563 () (not @t561)) % 34.73/34.92 (define @t564 () (@list @t561)) % 34.73/34.92 (define @t565 () (tptp.m1_relset_1 @t316 @t190 @t557)) % 34.73/34.92 (define @t566 () (= @t558 @t565)) % 34.73/34.92 (define @t567 () (tptp.l1_struct_0 @t187)) % 34.73/34.92 (define @t568 () (or @t457 @t567)) % 34.73/34.92 (define @t569 () (= @t549 (tptp.k1_funct_1 @t316 @t197))) % 34.73/34.92 (define @t570 () (not @t565)) % 34.73/34.92 (define @t571 () (not @t559)) % 34.73/34.92 (define @t572 () (not @t560)) % 34.73/34.92 (define @t573 () (not @t567)) % 34.73/34.92 (define @t574 () (or @t329 @t573 @t335 @t334 @t572 @t571 @t570 @t450 @t569)) % 34.73/34.92 (define @t575 () (@list true false true false false false false false false)) % 34.73/34.92 (define @t576 () (tptp.k1_funct_1 @t315 @t197)) % 34.73/34.92 (define @t577 () (tptp.u1_struct_0 @t185)) % 34.73/34.92 (define @t578 () (tptp.m2_relset_1 @t315 @t194 @t577)) % 34.73/34.92 (define @t579 () (tptp.v1_funct_2 @t315 @t194 @t577)) % 34.73/34.92 (define @t580 () (tptp.v1_funct_1 @t315)) % 34.73/34.92 (define @t581 () (and @t580 @t579 @t578)) % 34.73/34.92 (define @t582 () (or @t331 @t326 @t581)) % 34.73/34.92 (define @t583 () (not @t581)) % 34.73/34.92 (define @t584 () (@list @t581)) % 34.73/34.92 (define @t585 () (tptp.m1_relset_1 @t315 @t194 @t577)) % 34.73/34.92 (define @t586 () (= @t578 @t585)) % 34.73/34.92 (define @t587 () (tptp.l1_struct_0 @t184)) % 34.73/34.92 (define @t588 () (or @t459 @t587)) % 34.73/34.92 (define @t589 () (tptp.k1_waybel_0 @t184 @t185 @t315 @t197)) % 34.73/34.92 (define @t590 () (= @t589 @t576)) % 34.73/34.92 (define @t591 () (not @t585)) % 34.73/34.92 (define @t592 () (not @t579)) % 34.73/34.92 (define @t593 () (not @t580)) % 34.73/34.92 (define @t594 () (not @t587)) % 34.73/34.92 (define @t595 () (or @t327 @t594 @t332 @t331 @t593 @t592 @t591 @t452 @t590)) % 34.73/34.92 (define @t596 () (= @t508 @t589)) % 34.73/34.92 (define @t597 () (or @t332 @t331 @t327 @t326 @t452 @t596)) % 34.73/34.92 (define @t598 () (tptp.m1_subset_1 @t508 @t183)) % 34.73/34.92 (define @t599 () (not @t134)) % 34.73/34.92 (define @t600 () (tptp.v1_xboole_0 @t183)) % 34.73/34.92 (define @t601 () (not @t600)) % 34.73/34.92 (define @t602 () (or @t518 @t601)) % 34.73/34.92 (define @t603 () (not @t598)) % 34.73/34.92 (define @t604 () (or @t603 @t600 @t509)) % 34.73/34.92 (assume @p1 @t44) % 34.73/34.92 (assume @p2 (forall @t42 (=> @t48 (=> (tptp.v1_orders_2 @t6) (= @t6 @t47))))) % 34.73/34.92 (assume @p3 (forall @t50 (=> @t49 (not (tptp.r2_hidden @t3 @t6))))) % 34.73/34.92 (assume @p4 (forall @t42 (=> @t52 @t51))) % 34.73/34.92 (assume @p5 (forall @t42 (=> @t52 @t53))) % 34.73/34.92 (assume @p6 (forall @t42 (=> @t52 @t54))) % 34.73/34.92 (assume @p7 (forall @t57 (=> @t56 (tptp.v1_relat_1 @t5)))) % 34.73/34.92 (assume @p8 (forall @t42 (=> @t51 (forall @t35 (=> @t60 @t58))))) % 34.73/34.92 (assume @p9 (forall @t42 (=> @t62 @t61))) % 34.73/34.92 (assume @p10 @t81) % 34.73/34.92 (assume @p11 @t90) % 34.73/34.92 (assume @p12 (forall @t50 (=> @t92 (and (tptp.v1_orders_2 @t91) (tptp.l1_orders_2 @t91))))) % 34.73/34.92 (assume @p13 true) % 34.73/34.92 (assume @p14 (forall @t99 (=> @t98 (tptp.m1_subset_1 @t93 @t67)))) % 34.73/34.92 (assume @p15 (forall @t57 (=> (and @t39 @t37 @t32 @t76 @t85) (tptp.m1_subset_1 @t83 @t46)))) % 34.73/34.92 (assume @p16 (forall @t99 (=> @t102 (tptp.m1_subset_1 @t100 @t67)))) % 34.73/34.92 (assume @p17 @t103) % 34.73/34.92 (assume @p18 @t107) % 34.73/34.92 (assume @p19 (forall @t57 (=> @t108 @t56))) % 34.73/34.92 (assume @p20 @t110) % 34.73/34.92 (assume @p21 @t115) % 34.73/34.92 (assume @p22 (exists @t42 @t48)) % 34.73/34.92 (assume @p23 (exists @t42 @t37)) % 34.73/34.92 (assume @p24 (forall @t42 (=> @t37 (exists @t35 @t76)))) % 34.73/34.92 (assume @p25 (forall @t50 (exists @t28 @t116))) % 34.73/34.92 (assume @p26 (forall @t42 (exists @t35 (tptp.m1_subset_1 @t3 @t6)))) % 34.73/34.92 (assume @p27 (forall @t50 (exists @t28 @t108))) % 34.73/34.92 (assume @p28 (and @t118 @t117 (tptp.v3_relat_1 tptp.k1_xboole_0))) % 34.73/34.92 (assume @p29 (forall @t50 (=> (and @t51 @t58) (tptp.v1_finset_1 @t55)))) % 34.73/34.92 (assume @p30 (forall @t50 (=> (and @t39 @t37 @t32 @t76) (and (not (tptp.v1_xboole_0 @t82)) (tptp.v1_relat_1 @t82) @t112 @t111)))) % 34.73/34.92 (assume @p31 (forall @t42 (=> @t40 (not (tptp.v1_xboole_0 @t46))))) % 34.73/34.92 (assume @p32 (forall @t42 (not (tptp.v1_xboole_0 @t59)))) % 34.73/34.92 (assume @p33 (and @t118 @t117)) % 34.73/34.92 (assume @p34 (forall @t50 (=> (and @t101 @t120) (not (tptp.v1_xboole_0 @t55))))) % 34.73/34.92 (assume @p35 @t126) % 34.73/34.92 (assume @p36 (forall @t57 (=> (and @t48 (tptp.m1_subset_1 @t3 @t46) @t127) (not (tptp.r2_orders_2 @t6 @t3 @t3))))) % 34.73/34.92 (assume @p37 (exists @t42 (and @t101 @t51))) % 34.73/34.92 (assume @p38 (exists @t42 (and @t54 @t53))) % 34.73/34.92 (assume @p39 (exists @t42 (and @t52 @t54))) % 34.73/34.92 (assume @p40 (forall @t42 (=> @t101 (exists @t35 (and @t60 @t120))))) % 34.73/34.92 (assume @p41 (exists @t42 @t62)) % 34.73/34.92 (assume @p42 (exists @t42 (and @t101 @t54))) % 34.73/34.92 (assume @p43 (forall @t42 (exists @t35 (and @t60 @t119)))) % 34.73/34.92 (assume @p44 (forall @t42 (exists @t35 (and (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t59)) @t120 @t58)))) % 34.73/34.92 (assume @p45 (forall @t42 (=> @t101 (exists @t35 (and @t60 @t120 @t58))))) % 34.73/34.92 (assume @p46 (exists @t42 @t61)) % 34.73/34.92 (assume @p47 (exists @t42 (and @t54 @t128))) % 34.73/34.92 (assume @p48 (exists @t42 (and @t37 @t39))) % 34.73/34.92 (assume @p49 (forall @t42 (=> @t37 (exists @t35 (and (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t129)) @t120 @t58))))) % 34.73/34.92 (assume @p50 (exists @t42 (and @t54 @t128 @t53))) % 34.73/34.92 (assume @p51 (forall @t42 (=> @t40 (exists @t35 (and (tptp.m1_subset_1 @t3 @t129) @t120))))) % 34.73/34.92 (assume @p52 @t132) % 34.73/34.92 (assume @p53 (forall @t99 (=> @t102 (= @t100 @t130)))) % 34.73/34.92 (assume @p54 @t133) % 34.73/34.92 (assume @p55 (forall @t50 (tptp.r1_tarski @t6 @t6))) % 34.73/34.92 (assume @p56 @t135) % 34.73/34.92 (assume @p57 @t160) % 34.73/34.92 (assume @p58 @t162) % 34.73/34.92 (assume @p59 (forall @t50 (= (tptp.m1_subset_1 @t6 (tptp.k1_zfmisc_1 @t3)) (tptp.r1_tarski @t6 @t3)))) % 34.73/34.92 (assume @p60 (forall @t57 (=> (and @t49 @t163) (tptp.m1_subset_1 @t6 @t5)))) % 34.73/34.92 (assume @p61 (forall @t57 (not (and @t49 @t163 (tptp.v1_xboole_0 @t5))))) % 34.73/34.92 (assume @p62 (forall @t42 (=> @t52 (= @t6 tptp.k1_xboole_0)))) % 34.73/34.92 (assume @p63 @t164) % 34.73/34.92 (assume @p64 (forall @t50 (not (and @t52 (not (= @t6 @t3)) @t119)))) % 34.73/34.92 (step @p65 :rule evaluate :args ((= false true))) % 34.73/34.92 (step @p66 :rule bool-impl-elim :args (@t49 @t134)) % 34.73/34.92 (step @p67 :rule cong :premises (@p66) :args (@t135)) % 34.73/34.92 (step @p68 :rule eq_resolve :premises (@p56 @p67)) % 34.73/34.92 (step @p69 :rule instantiate :premises (@p68) :args (@t199)) % 34.73/34.92 (step @p70 :rule aci_norm :args ((= @t207 (or @t38 @t179 @t205 @t204 @t203)))) % 34.73/34.92 (step @p71 :rule cong :premises (@p70) :args (@t208)) % 34.73/34.92 (step @p72 :rule quant-merge-prenex :args ((= (forall @t42 @t210) @t208))) % 34.73/34.92 (step @p73 :rule alpha_equiv :args (@t211 (@list @t201 @t200) (@list @t3 @t212))) % 34.73/34.92 (step @p74 :rule refl :args (@t179)) % 34.73/34.92 (step @p75 :rule refl :args (@t38)) % 34.73/34.92 (step @p76 :rule nary_cong :premises (@p75 @p74 @p73) :args (@t213)) % 34.73/34.92 (step @p77 :rule quant-miniscope-or :args ((= @t210 @t213))) % 34.73/34.92 (step @p78 :rule trans :premises (@p77 @p76)) % 34.73/34.92 (step @p79 :rule symm :premises (@p78)) % 34.73/34.92 (step @p80 :rule cong :premises (@p79) :args ((forall @t42 @t221))) % 34.73/34.92 (step @p81 :rule trans :premises (@p80 @p72)) % 34.73/34.92 (step @p82 :rule trans :premises (@p81 @p71)) % 34.73/34.92 (step @p83 :rule aci_norm :args ((= (or @t222 @t220) @t221))) % 34.73/34.92 (step @p84 :rule refl :args (@t220)) % 34.73/34.92 (step @p85 :rule bool-double-not-elim :args (@t38)) % 34.73/34.92 (step @p86 :rule nary_cong :premises (@p85 @p74) :args ((or @t223 @t179))) % 34.73/34.92 (step @p87 :rule bool-and-de-morgan :args (@t39 @t37 true)) % 34.73/34.92 (step @p88 :rule trans :premises (@p87 @p86)) % 34.73/34.92 (step @p89 :rule nary_cong :premises (@p88 @p84) :args ((or @t224 @t220))) % 34.73/34.92 (step @p90 :rule trans :premises (@p89 @p83)) % 34.73/34.92 (step @p91 :rule bool-impl-elim :args (@t40 @t220)) % 34.73/34.92 (step @p92 :rule trans :premises (@p91 @p90)) % 34.73/34.92 (step @p93 :rule cong :premises (@p92) :args ((forall @t42 (=> @t40 @t220)))) % 34.73/34.92 (step @p94 :rule trans :premises (@p93 @p82)) % 34.73/34.92 (step @p95 :rule quant-merge-prenex :args ((= (forall @t35 @t226) @t220))) % 34.73/34.92 (step @p96 :rule alpha_equiv :args (@t227 (@list @t212) @t228)) % 34.73/34.92 (step @p97 :rule refl :args (@t218)) % 34.73/34.92 (step @p98 :rule refl :args (@t31)) % 34.73/34.92 (step @p99 :rule nary_cong :premises (@p98 @p97 @p96) :args (@t229)) % 34.73/34.92 (step @p100 :rule quant-miniscope-or :args ((= @t226 @t229))) % 34.73/34.92 (step @p101 :rule trans :premises (@p100 @p99)) % 34.73/34.92 (step @p102 :rule symm :premises (@p101)) % 34.73/34.92 (step @p103 :rule cong :premises (@p102) :args ((forall @t35 @t233))) % 34.73/34.92 (step @p104 :rule trans :premises (@p103 @p95)) % 34.73/34.92 (step @p105 :rule aci_norm :args ((= (or @t234 @t232) @t233))) % 34.73/34.92 (step @p106 :rule refl :args (@t232)) % 34.73/34.92 (step @p107 :rule bool-double-not-elim :args (@t31)) % 34.73/34.92 (step @p108 :rule nary_cong :premises (@p107 @p97) :args ((or @t235 @t218))) % 34.73/34.92 (step @p109 :rule bool-and-de-morgan :args (@t32 @t76 true)) % 34.73/34.92 (step @p110 :rule trans :premises (@p109 @p108)) % 34.73/34.92 (step @p111 :rule nary_cong :premises (@p110 @p106) :args ((or @t236 @t232))) % 34.73/34.92 (step @p112 :rule trans :premises (@p111 @p105)) % 34.73/34.92 (step @p113 :rule bool-impl-elim :args (@t77 @t232)) % 34.73/34.92 (step @p114 :rule trans :premises (@p113 @p112)) % 34.73/34.92 (step @p115 :rule cong :premises (@p114) :args ((forall @t35 (=> @t77 @t232)))) % 34.73/34.92 (step @p116 :rule trans :premises (@p115 @p104)) % 34.73/34.92 (step @p117 :rule bool-and-de-morgan :args (@t70 @t231 true)) % 34.73/34.92 (step @p118 :rule cong :premises (@p117) :args (@t238)) % 34.73/34.92 (step @p119 :rule cong :premises (@p118) :args (@t239)) % 34.73/34.92 (step @p120 :rule exists-elim :args ((= (exists @t21 @t237) @t239))) % 34.73/34.92 (step @p121 :rule trans :premises (@p120 @p119)) % 34.73/34.92 (step @p122 :rule aci_norm :args ((= (or @t215 (or @t214 @t64)) @t230))) % 34.73/34.92 (step @p123 :rule bool-impl-elim :args (@t65 @t64)) % 34.73/34.92 (step @p124 :rule refl :args (@t215)) % 34.73/34.92 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or @t215 @t66))) % 34.73/34.92 (step @p126 :rule trans :premises (@p125 @p122)) % 34.73/34.92 (step @p127 :rule bool-impl-elim :args (@t68 @t66)) % 34.73/34.92 (step @p128 :rule trans :premises (@p127 @p126)) % 34.73/34.92 (step @p129 :rule cong :premises (@p128) :args (@t69)) % 34.73/34.92 (step @p130 :rule refl :args (@t70)) % 34.73/34.92 (step @p131 :rule nary_cong :premises (@p130 @p129) :args (@t71)) % 34.73/34.92 (step @p132 :rule cong :premises (@p131) :args (@t72)) % 34.73/34.92 (step @p133 :rule trans :premises (@p132 @p121)) % 34.73/34.92 (step @p134 :rule refl :args (@t73)) % 34.73/34.92 (step @p135 :rule cong :premises (@p134 @p133) :args (@t74)) % 34.73/34.92 (step @p136 :rule cong :premises (@p135) :args (@t75)) % 34.73/34.92 (step @p137 :rule refl :args (@t77)) % 34.73/34.92 (step @p138 :rule cong :premises (@p137 @p136) :args (@t78)) % 34.73/34.92 (step @p139 :rule cong :premises (@p138) :args (@t79)) % 34.73/34.92 (step @p140 :rule trans :premises (@p139 @p116)) % 34.73/34.92 (step @p141 :rule refl :args (@t40)) % 34.73/34.92 (step @p142 :rule cong :premises (@p141 @p140) :args (@t80)) % 34.73/34.92 (step @p143 :rule cong :premises (@p142) :args (@t81)) % 34.73/34.92 (step @p144 :rule trans :premises (@p143 @p94)) % 34.73/34.92 (step @p145 :rule eq_resolve :premises (@p10 @p144)) % 34.73/34.92 (step @p146 :rule instantiate :premises (@p145) :args ((@list @t188 @t187 @t183))) % 34.73/34.92 (step @p147 :rule aci_norm :args ((= @t241 @t180))) % 34.73/34.92 (step @p148 :rule cong :premises (@p147) :args (@t242)) % 34.73/34.92 (step @p149 :rule quant-merge-prenex :args ((= (forall @t42 @t244) @t242))) % 34.73/34.92 (step @p150 :rule alpha_equiv :args (@t245 (@list @t167 @t169 @t166 @t165) (@list @t3 @t248 @t247 @t246))) % 34.73/34.92 (step @p151 :rule nary_cong :premises (@p75 @p74 @p150) :args (@t249)) % 34.73/34.92 (step @p152 :rule quant-miniscope-or :args ((= @t244 @t249))) % 34.73/34.92 (step @p153 :rule trans :premises (@p152 @p151)) % 34.73/34.92 (step @p154 :rule symm :premises (@p153)) % 34.73/34.92 (step @p155 :rule cong :premises (@p154) :args ((forall @t42 @t262))) % 34.73/34.92 (step @p156 :rule trans :premises (@p155 @p149)) % 34.73/34.92 (step @p157 :rule trans :premises (@p156 @p148)) % 34.73/34.92 (step @p158 :rule aci_norm :args ((= (or @t222 @t261) @t262))) % 34.73/34.92 (step @p159 :rule refl :args (@t261)) % 34.73/34.92 (step @p160 :rule nary_cong :premises (@p88 @p159) :args ((or @t224 @t261))) % 34.73/34.92 (step @p161 :rule trans :premises (@p160 @p158)) % 34.73/34.92 (step @p162 :rule bool-impl-elim :args (@t40 @t261)) % 34.73/34.92 (step @p163 :rule trans :premises (@p162 @p161)) % 34.73/34.92 (step @p164 :rule cong :premises (@p163) :args ((forall @t42 (=> @t40 @t261)))) % 34.73/34.92 (step @p165 :rule trans :premises (@p164 @p157)) % 34.73/34.92 (step @p166 :rule aci_norm :args ((= @t264 @t259))) % 34.73/34.92 (step @p167 :rule cong :premises (@p166) :args (@t265)) % 34.73/34.92 (step @p168 :rule quant-merge-prenex :args ((= (forall @t35 @t267) @t265))) % 34.73/34.92 (step @p169 :rule alpha_equiv :args (@t268 (@list @t248 @t247 @t246) (@list @t5 @t270 @t269))) % 34.73/34.92 (step @p170 :rule refl :args (@t258)) % 34.73/34.92 (step @p171 :rule nary_cong :premises (@p98 @p170 @p169) :args (@t271)) % 34.73/34.92 (step @p172 :rule quant-miniscope-or :args ((= @t267 @t271))) % 34.73/34.92 (step @p173 :rule trans :premises (@p172 @p171)) % 34.73/34.92 (step @p174 :rule symm :premises (@p173)) % 34.73/34.92 (step @p175 :rule cong :premises (@p174) :args ((forall @t35 @t282))) % 34.73/34.92 (step @p176 :rule trans :premises (@p175 @p168)) % 34.73/34.92 (step @p177 :rule trans :premises (@p176 @p167)) % 34.73/34.92 (step @p178 :rule aci_norm :args ((= (or (or @t31 @t258) @t281) @t282))) % 34.73/34.92 (step @p179 :rule refl :args (@t281)) % 34.73/34.92 (step @p180 :rule nary_cong :premises (@p107 @p170) :args ((or @t235 @t258))) % 34.73/34.92 (step @p181 :rule bool-and-de-morgan :args (@t32 @t30 true)) % 34.73/34.92 (step @p182 :rule trans :premises (@p181 @p180)) % 34.73/34.92 (step @p183 :rule nary_cong :premises (@p182 @p179) :args ((or (not @t33) @t281))) % 34.73/34.92 (step @p184 :rule trans :premises (@p183 @p178)) % 34.73/34.92 (step @p185 :rule bool-impl-elim :args (@t33 @t281)) % 34.73/34.92 (step @p186 :rule trans :premises (@p185 @p184)) % 34.73/34.92 (step @p187 :rule cong :premises (@p186) :args ((forall @t35 (=> @t33 @t281)))) % 34.73/34.92 (step @p188 :rule trans :premises (@p187 @p177)) % 34.73/34.92 (step @p189 :rule aci_norm :args ((= @t284 @t279))) % 34.73/34.92 (step @p190 :rule cong :premises (@p189) :args (@t285)) % 34.73/34.92 (step @p191 :rule quant-merge-prenex :args ((= (forall @t28 @t287) @t285))) % 34.73/34.92 (step @p192 :rule alpha_equiv :args (@t288 (@list @t270 @t269) (@list @t2 @t289))) % 34.73/34.92 (step @p193 :rule refl :args (@t278)) % 34.73/34.92 (step @p194 :rule refl :args (@t24)) % 34.73/34.92 (step @p195 :rule nary_cong :premises (@p194 @p193 @p192) :args (@t290)) % 34.73/34.92 (step @p196 :rule quant-miniscope-or :args ((= @t287 @t290))) % 34.73/34.92 (step @p197 :rule trans :premises (@p196 @p195)) % 34.73/34.92 (step @p198 :rule symm :premises (@p197)) % 34.73/34.92 (step @p199 :rule cong :premises (@p198) :args ((forall @t28 @t299))) % 34.73/34.92 (step @p200 :rule trans :premises (@p199 @p191)) % 34.73/34.92 (step @p201 :rule trans :premises (@p200 @p190)) % 34.73/34.92 (step @p202 :rule aci_norm :args ((= (or (or @t24 @t278) @t298) @t299))) % 34.73/34.92 (step @p203 :rule refl :args (@t298)) % 34.73/34.92 (step @p204 :rule bool-double-not-elim :args (@t24)) % 34.73/34.92 (step @p205 :rule nary_cong :premises (@p204 @p193) :args ((or (not @t25) @t278))) % 34.73/34.92 (step @p206 :rule bool-and-de-morgan :args (@t25 @t23 true)) % 34.73/34.92 (step @p207 :rule trans :premises (@p206 @p205)) % 34.73/34.92 (step @p208 :rule nary_cong :premises (@p207 @p203) :args ((or (not @t26) @t298))) % 34.73/34.92 (step @p209 :rule trans :premises (@p208 @p202)) % 34.73/34.92 (step @p210 :rule bool-impl-elim :args (@t26 @t298)) % 34.73/34.92 (step @p211 :rule trans :premises (@p210 @p209)) % 34.73/34.92 (step @p212 :rule cong :premises (@p211) :args ((forall @t28 (=> @t26 @t298)))) % 34.73/34.92 (step @p213 :rule trans :premises (@p212 @p201)) % 34.73/34.92 (step @p214 :rule aci_norm :args ((= @t301 @t296))) % 34.73/34.92 (step @p215 :rule cong :premises (@p214) :args (@t302)) % 34.73/34.92 (step @p216 :rule quant-merge-prenex :args ((= (forall @t21 @t304) @t302))) % 34.73/34.92 (step @p217 :rule alpha_equiv :args (@t305 (@list @t289) (@list @t1))) % 34.73/34.92 (step @p218 :rule refl :args (@t293)) % 34.73/34.92 (step @p219 :rule refl :args (@t294)) % 34.73/34.92 (step @p220 :rule refl :args (@t295)) % 34.73/34.92 (step @p221 :rule refl :args (@t17)) % 34.73/34.92 (step @p222 :rule nary_cong :premises (@p221 @p220 @p219 @p218 @p217) :args (@t306)) % 34.73/34.92 (step @p223 :rule quant-miniscope-or :args ((= @t304 @t306))) % 34.73/34.92 (step @p224 :rule trans :premises (@p223 @p222)) % 34.73/34.92 (step @p225 :rule symm :premises (@p224)) % 34.73/34.92 (step @p226 :rule cong :premises (@p225) :args ((forall @t21 @t308))) % 34.73/34.92 (step @p227 :rule trans :premises (@p226 @p216)) % 34.73/34.92 (step @p228 :rule trans :premises (@p227 @p215)) % 34.73/34.92 (step @p229 :rule aci_norm :args ((= (or (or @t17 @t295) @t309) @t308))) % 34.73/34.92 (step @p230 :rule aci_norm :args ((= (or (or @t294 @t293) @t307) @t309))) % 34.73/34.92 (step @p231 :rule refl :args (@t307)) % 34.73/34.92 (step @p232 :rule bool-and-de-morgan :args (@t13 @t11 true)) % 34.73/34.92 (step @p233 :rule nary_cong :premises (@p232 @p231) :args ((or (not @t14) @t307))) % 34.73/34.92 (step @p234 :rule trans :premises (@p233 @p230)) % 34.73/34.92 (step @p235 :rule bool-impl-elim :args (@t14 @t307)) % 34.73/34.92 (step @p236 :rule trans :premises (@p235 @p234)) % 34.73/34.92 (step @p237 :rule bool-double-not-elim :args (@t17)) % 34.73/34.92 (step @p238 :rule nary_cong :premises (@p237 @p220) :args ((or (not @t18) @t295))) % 34.73/34.92 (step @p239 :rule bool-and-de-morgan :args (@t18 @t16 true)) % 34.73/34.92 (step @p240 :rule trans :premises (@p239 @p238)) % 34.73/34.92 (step @p241 :rule nary_cong :premises (@p240 @p236) :args ((or (not @t19) @t310))) % 34.73/34.92 (step @p242 :rule trans :premises (@p241 @p229)) % 34.73/34.92 (step @p243 :rule bool-impl-elim :args (@t19 @t310)) % 34.73/34.92 (step @p244 :rule trans :premises (@p243 @p242)) % 34.73/34.92 (step @p245 :rule cong :premises (@p244) :args ((forall @t21 (=> @t19 @t310)))) % 34.73/34.92 (step @p246 :rule trans :premises (@p245 @p228)) % 34.73/34.92 (step @p247 :rule bool-impl-elim :args (@t7 @t4)) % 34.73/34.92 (step @p248 :rule cong :premises (@p247) :args (@t9)) % 34.73/34.92 (step @p249 :rule refl :args (@t14)) % 34.73/34.92 (step @p250 :rule cong :premises (@p249 @p248) :args (@t15)) % 34.73/34.92 (step @p251 :rule refl :args (@t19)) % 34.73/34.92 (step @p252 :rule cong :premises (@p251 @p250) :args (@t20)) % 34.73/34.92 (step @p253 :rule cong :premises (@p252) :args (@t22)) % 34.73/34.92 (step @p254 :rule trans :premises (@p253 @p246)) % 34.73/34.92 (step @p255 :rule refl :args (@t26)) % 34.73/34.92 (step @p256 :rule cong :premises (@p255 @p254) :args (@t27)) % 34.73/34.92 (step @p257 :rule cong :premises (@p256) :args (@t29)) % 34.73/34.92 (step @p258 :rule trans :premises (@p257 @p213)) % 34.73/34.92 (step @p259 :rule refl :args (@t33)) % 34.73/34.92 (step @p260 :rule cong :premises (@p259 @p258) :args (@t34)) % 34.73/34.92 (step @p261 :rule cong :premises (@p260) :args (@t36)) % 34.73/34.92 (step @p262 :rule trans :premises (@p261 @p188)) % 34.73/34.92 (step @p263 :rule cong :premises (@p141 @p262) :args (@t41)) % 34.73/34.92 (step @p264 :rule cong :premises (@p263) :args (@t43)) % 34.73/34.92 (step @p265 :rule trans :premises (@p264 @p165)) % 34.73/34.92 (step @p266 :rule cong :premises (@p265) :args (@t44)) % 34.73/34.92 (step @p267 :rule eq_resolve :premises (@p1 @p266)) % 34.73/34.92 (step @p268 :rule skolemize :premises (@p267)) % 34.73/34.92 (step @p269 :rule bool-double-not-elim :args (@t311)) % 34.73/34.92 (step @p270 :rule refl :args (@t336)) % 34.73/34.92 (step @p271 :rule nary_cong :premises (@p270 @p269) :args ((or @t336 (not @t328)))) % 34.73/34.92 (step @p272 :rule cnf_or_neg :args (@t336 5)) % 34.73/34.92 (step @p273 :rule eq_resolve :premises (@p272 @p271)) % 34.73/34.92 (step @p274 :rule reordering :premises (@p273) :args ((or @t311 @t336))) % 34.73/34.92 (step @p275 :rule chain_m_resolution :premises (@p274 @p268) :args (@t311 @t337 @t338)) % 34.73/34.92 (step @p276 :rule cnf_or_neg :args (@t336 4)) % 34.73/34.92 (step @p277 :rule chain_m_resolution :premises (@p276 @p268) :args ((not @t329) @t337 @t338)) % 34.73/34.92 (step @p278 :rule bool-double-not-elim :args (@t333)) % 34.73/34.92 (step @p279 :rule nary_cong :premises (@p270 @p278) :args ((or @t336 (not @t334)))) % 34.73/34.92 (step @p280 :rule cnf_or_neg :args (@t336 1)) % 34.73/34.92 (step @p281 :rule eq_resolve :premises (@p280 @p279)) % 34.73/34.92 (step @p282 :rule reordering :premises (@p281) :args ((or @t333 @t336))) % 34.73/34.92 (step @p283 :rule chain_m_resolution :premises (@p282 @p268) :args (@t333 @t337 @t338)) % 34.73/34.92 (step @p284 :rule cnf_or_neg :args (@t336 0)) % 34.73/34.92 (step @p285 :rule chain_m_resolution :premises (@p284 @p268) :args ((not @t335) @t337 @t338)) % 34.73/34.92 (step @p286 :rule cnf_or_pos :args (@t341)) % 34.73/34.92 (step @p287 :rule reordering :premises (@p286) :args ((or @t335 @t334 @t329 @t328 @t340 (not @t341)))) % 34.73/34.92 (step @p288 :rule chain_m_resolution :premises (@p287 @p285 @p283 @p277 @p275 @p146) :args (@t340 @t342 (@list @t335 @t333 @t329 @t311 @t341))) % 34.73/34.92 (step @p289 :rule bool-double-not-elim :args (@t313)) % 34.73/34.92 (step @p290 :rule nary_cong :premises (@p270 @p289) :args ((or @t336 (not @t314)))) % 34.73/34.92 (step @p291 :rule cnf_or_neg :args (@t336 10)) % 34.73/34.92 (step @p292 :rule eq_resolve :premises (@p291 @p290)) % 34.73/34.92 (step @p293 :rule reordering :premises (@p292) :args ((or @t313 @t336))) % 34.73/34.92 (step @p294 :rule chain_m_resolution :premises (@p293 @p268) :args (@t313 @t337 @t338)) % 34.73/34.92 (step @p295 :rule cnf_equiv_pos1 :args (@t340)) % 34.73/34.92 (step @p296 :rule reordering :premises (@p295) :args ((or @t314 @t339 (not @t340)))) % 34.73/34.92 (step @p297 :rule chain_m_resolution :premises (@p296 @p294 @p288) :args (@t339 @t343 (@list @t313 @t340))) % 34.73/34.92 (step @p298 :rule skolemize :premises (@p297)) % 34.73/34.92 (step @p299 :rule bool-double-not-elim :args (@t344)) % 34.73/34.92 (step @p300 :rule refl :args (@t348)) % 34.73/34.92 (step @p301 :rule nary_cong :premises (@p300 @p299) :args ((or @t348 (not @t345)))) % 34.73/34.92 (step @p302 :rule cnf_or_neg :args (@t348 1)) % 34.73/34.92 (step @p303 :rule eq_resolve :premises (@p302 @p301)) % 34.73/34.92 (step @p304 :rule reordering :premises (@p303) :args ((or @t344 @t348))) % 34.73/34.92 (step @p305 :rule chain_m_resolution :premises (@p304 @p298) :args (@t344 @t337 @t349)) % 34.73/34.92 (step @p306 :rule instantiate :premises (@p305) :args ((@list @t197))) % 34.73/34.92 (step @p307 :rule aci_norm :args ((= @t364 @t362))) % 34.73/34.92 (step @p308 :rule cong :premises (@p307) :args (@t366)) % 34.73/34.92 (step @p309 :rule quant-merge-prenex :args ((= (forall @t42 @t368) @t366))) % 34.73/34.92 (step @p310 :rule alpha_equiv :args (@t369 (@list @t352 @t351 @t350) (@list @t3 @t371 @t370))) % 34.73/34.92 (step @p311 :rule refl :args (@t361)) % 34.73/34.92 (step @p312 :rule nary_cong :premises (@p311 @p310) :args (@t372)) % 34.73/34.92 (step @p313 :rule quant-miniscope-or :args ((= @t368 @t372))) % 34.73/34.92 (step @p314 :rule trans :premises (@p313 @p312)) % 34.73/34.92 (step @p315 :rule symm :premises (@p314)) % 34.73/34.92 (step @p316 :rule cong :premises (@p315) :args ((forall @t42 (or @t361 @t382)))) % 34.73/34.92 (step @p317 :rule trans :premises (@p316 @p309)) % 34.73/34.92 (step @p318 :rule trans :premises (@p317 @p308)) % 34.73/34.92 (step @p319 :rule bool-impl-elim :args (@t48 @t382)) % 34.73/34.92 (step @p320 :rule cong :premises (@p319) :args ((forall @t42 (=> @t48 @t382)))) % 34.73/34.92 (step @p321 :rule trans :premises (@p320 @p318)) % 34.73/34.92 (step @p322 :rule aci_norm :args ((= @t384 @t380))) % 34.73/34.92 (step @p323 :rule cong :premises (@p322) :args (@t385)) % 34.73/34.92 (step @p324 :rule quant-merge-prenex :args ((= (forall @t35 @t387) @t385))) % 34.73/34.92 (step @p325 :rule alpha_equiv :args (@t388 (@list @t371 @t370) (@list @t5 @t389))) % 34.73/34.92 (step @p326 :rule refl :args (@t378)) % 34.73/34.92 (step @p327 :rule refl :args (@t379)) % 34.73/34.92 (step @p328 :rule nary_cong :premises (@p327 @p326 @p325) :args (@t390)) % 34.73/34.92 (step @p329 :rule quant-miniscope-or :args ((= @t387 @t390))) % 34.73/34.92 (step @p330 :rule trans :premises (@p329 @p328)) % 34.73/34.92 (step @p331 :rule symm :premises (@p330)) % 34.73/34.92 (step @p332 :rule cong :premises (@p331) :args ((forall @t35 @t399))) % 34.73/34.92 (step @p333 :rule trans :premises (@p332 @p324)) % 34.73/34.92 (step @p334 :rule trans :premises (@p333 @p323)) % 34.73/34.92 (step @p335 :rule aci_norm :args ((= (or @t379 (or @t378 @t398)) @t399))) % 34.73/34.92 (step @p336 :rule bool-impl-elim :args (@t155 @t398)) % 34.73/34.92 (step @p337 :rule nary_cong :premises (@p327 @p336) :args ((or @t379 @t400))) % 34.73/34.92 (step @p338 :rule trans :premises (@p337 @p335)) % 34.73/34.92 (step @p339 :rule bool-impl-elim :args (@t104 @t400)) % 34.73/34.92 (step @p340 :rule trans :premises (@p339 @p338)) % 34.73/34.92 (step @p341 :rule cong :premises (@p340) :args ((forall @t35 (=> @t104 @t400)))) % 34.73/34.92 (step @p342 :rule trans :premises (@p341 @p334)) % 34.73/34.92 (step @p343 :rule aci_norm :args ((= @t402 @t396))) % 34.73/34.92 (step @p344 :rule cong :premises (@p343) :args (@t403)) % 34.73/34.92 (step @p345 :rule quant-merge-prenex :args ((= (forall @t28 @t405) @t403))) % 34.73/34.92 (step @p346 :rule alpha_equiv :args (@t406 (@list @t389) (@list @t2))) % 34.73/34.92 (step @p347 :rule refl :args (@t394)) % 34.73/34.92 (step @p348 :rule refl :args (@t395)) % 34.73/34.92 (step @p349 :rule nary_cong :premises (@p348 @p347 @p346) :args (@t407)) % 34.73/34.92 (step @p350 :rule quant-miniscope-or :args ((= @t405 @t407))) % 34.73/34.92 (step @p351 :rule trans :premises (@p350 @p349)) % 34.73/34.92 (step @p352 :rule symm :premises (@p351)) % 34.73/34.92 (step @p353 :rule cong :premises (@p352) :args ((forall @t28 @t414))) % 34.73/34.92 (step @p354 :rule trans :premises (@p353 @p345)) % 34.73/34.92 (step @p355 :rule trans :premises (@p354 @p344)) % 34.73/34.92 (step @p356 :rule aci_norm :args ((= (or @t395 @t415) @t414))) % 34.73/34.92 (step @p357 :rule bool-impl-elim :args (@t127 @t415)) % 34.73/34.92 (step @p358 :rule trans :premises (@p357 @p356)) % 34.73/34.92 (step @p359 :rule cong :premises (@p358) :args ((forall @t28 (=> @t127 @t415)))) % 34.73/34.92 (step @p360 :rule trans :premises (@p359 @p355)) % 34.73/34.92 (step @p361 :rule quant-miniscope-or :args ((= (forall @t21 @t416) @t415))) % 34.73/34.92 (step @p362 :rule aci_norm :args ((= @t417 @t416))) % 34.73/34.92 (step @p363 :rule cong :premises (@p362) :args ((forall @t21 @t417))) % 34.73/34.92 (step @p364 :rule trans :premises (@p363 @p361)) % 34.73/34.92 (step @p365 :rule aci_norm :args ((= (or @t411 @t418) @t417))) % 34.73/34.92 (step @p366 :rule bool-impl-elim :args (@t94 @t418)) % 34.73/34.92 (step @p367 :rule trans :premises (@p366 @p365)) % 34.73/34.92 (step @p368 :rule cong :premises (@p367) :args ((forall @t21 (=> @t94 @t418)))) % 34.73/34.92 (step @p369 :rule trans :premises (@p368 @p364)) % 34.73/34.92 (step @p370 :rule aci_norm :args ((= (or @t216 @t419) @t418))) % 34.73/34.92 (step @p371 :rule aci_norm :args ((= (or @t394 false @t410) @t419))) % 34.73/34.92 (step @p372 :rule refl :args (@t410)) % 34.73/34.92 (step @p373 :rule evaluate :args ((not true))) % 34.73/34.92 (step @p374 :rule eq-refl :args (@t5)) % 34.73/34.92 (step @p375 :rule cong :premises (@p374) :args (@t420)) % 34.73/34.92 (step @p376 :rule trans :premises (@p375 @p373)) % 34.73/34.92 (step @p377 :rule refl :args (@t394)) % 34.73/34.92 (step @p378 :rule nary_cong :premises (@p377 @p376 @p372) :args (@t421)) % 34.73/34.92 (step @p379 :rule trans :premises (@p378 @p371)) % 34.73/34.92 (step @p380 :rule quant-var-elim-eq :args ((= (forall @t8 (or (not (= @t1 @t5)) @t215 @t423 @t422)) @t421))) % 34.73/34.92 (step @p381 :rule refl :args (@t422)) % 34.73/34.92 (step @p382 :rule refl :args (@t423)) % 34.73/34.92 (step @p383 :rule eq-symm :args (@t5 @t1)) % 34.73/34.92 (step @p384 :rule cong :premises (@p383) :args (@t423)) % 34.73/34.92 (step @p385 :rule nary_cong :premises (@p384 @p124 @p382 @p381) :args (@t424)) % 34.73/34.92 (step @p386 :rule aci_norm :args ((= @t425 @t424))) % 34.73/34.92 (step @p387 :rule trans :premises (@p386 @p385)) % 34.73/34.92 (step @p388 :rule cong :premises (@p387) :args (@t426)) % 34.73/34.92 (step @p389 :rule trans :premises (@p388 @p380)) % 34.73/34.92 (step @p390 :rule trans :premises (@p389 @p379)) % 34.73/34.92 (step @p391 :rule refl :args (@t216)) % 34.73/34.92 (step @p392 :rule nary_cong :premises (@p391 @p390) :args (@t427)) % 34.73/34.92 (step @p393 :rule trans :premises (@p392 @p370)) % 34.73/34.92 (step @p394 :rule quant-miniscope-or :args ((= (forall @t8 @t428) @t427))) % 34.73/34.92 (step @p395 :rule aci_norm :args ((= @t429 @t428))) % 34.73/34.92 (step @p396 :rule cong :premises (@p395) :args ((forall @t8 @t429))) % 34.73/34.92 (step @p397 :rule trans :premises (@p396 @p394)) % 34.73/34.92 (step @p398 :rule trans :premises (@p397 @p393)) % 34.73/34.92 (step @p399 :rule aci_norm :args ((= (or @t215 @t430) @t429))) % 34.73/34.92 (step @p400 :rule bool-impl-elim :args (@t68 @t430)) % 34.73/34.92 (step @p401 :rule trans :premises (@p400 @p399)) % 34.73/34.92 (step @p402 :rule cong :premises (@p401) :args ((forall @t8 (=> @t68 @t430)))) % 34.73/34.92 (step @p403 :rule trans :premises (@p402 @p398)) % 34.73/34.92 (step @p404 :rule aci_norm :args ((= (or @t423 @t431) @t430))) % 34.73/34.92 (step @p405 :rule aci_norm :args ((= (or @t216 false @t422) @t431))) % 34.73/34.92 (step @p406 :rule refl :args (@t422)) % 34.73/34.92 (step @p407 :rule eq-refl :args (@t2)) % 34.73/34.92 (step @p408 :rule cong :premises (@p407) :args (@t432)) % 34.73/34.92 (step @p409 :rule trans :premises (@p408 @p373)) % 34.73/34.92 (step @p410 :rule nary_cong :premises (@p391 @p409 @p406) :args (@t433)) % 34.73/34.92 (step @p411 :rule trans :premises (@p410 @p405)) % 34.73/34.92 (step @p412 :rule quant-var-elim-eq :args ((= (forall @t147 (or (not (= @t136 @t2)) @t436 @t435 @t434)) @t433))) % 34.73/34.92 (step @p413 :rule refl :args (@t434)) % 34.73/34.92 (step @p414 :rule refl :args (@t435)) % 34.73/34.92 (step @p415 :rule refl :args (@t436)) % 34.73/34.92 (step @p416 :rule eq-symm :args (@t2 @t136)) % 34.73/34.92 (step @p417 :rule cong :premises (@p416) :args (@t435)) % 34.73/34.92 (step @p418 :rule nary_cong :premises (@p417 @p415 @p414 @p413) :args (@t437)) % 34.73/34.92 (step @p419 :rule aci_norm :args ((= @t438 @t437))) % 34.73/34.92 (step @p420 :rule trans :premises (@p419 @p418)) % 34.73/34.92 (step @p421 :rule cong :premises (@p420) :args (@t439)) % 34.73/34.92 (step @p422 :rule trans :premises (@p421 @p412)) % 34.73/34.92 (step @p423 :rule trans :premises (@p422 @p411)) % 34.73/34.92 (step @p424 :rule refl :args (@t423)) % 34.73/34.92 (step @p425 :rule nary_cong :premises (@p424 @p423) :args (@t440)) % 34.73/34.92 (step @p426 :rule trans :premises (@p425 @p404)) % 34.73/34.92 (step @p427 :rule quant-miniscope-or :args ((= (forall @t147 @t441) @t440))) % 34.73/34.92 (step @p428 :rule aci_norm :args ((= @t442 @t441))) % 34.73/34.92 (step @p429 :rule cong :premises (@p428) :args ((forall @t147 @t442))) % 34.73/34.92 (step @p430 :rule trans :premises (@p429 @p427)) % 34.73/34.92 (step @p431 :rule trans :premises (@p430 @p426)) % 34.73/34.92 (step @p432 :rule aci_norm :args ((= (or @t436 @t443) @t442))) % 34.73/34.92 (step @p433 :rule aci_norm :args ((= (or (or @t423 @t435) @t434) @t443))) % 34.73/34.92 (step @p434 :rule bool-impl-elim :args (@t138 @t137)) % 34.73/34.92 (step @p435 :rule bool-impl-elim :args (@t140 @t139)) % 34.73/34.92 (step @p436 :rule nary_cong :premises (@p435 @p434) :args (@t141)) % 34.73/34.92 (step @p437 :rule bool-and-de-morgan :args (@t143 @t142 true)) % 34.73/34.92 (step @p438 :rule nary_cong :premises (@p437 @p436) :args ((or (not @t144) @t141))) % 34.73/34.92 (step @p439 :rule trans :premises (@p438 @p433)) % 34.73/34.92 (step @p440 :rule bool-impl-elim :args (@t144 @t141)) % 34.73/34.92 (step @p441 :rule trans :premises (@p440 @p439)) % 34.73/34.92 (step @p442 :rule nary_cong :premises (@p415 @p441) :args ((or @t436 @t145))) % 34.73/34.92 (step @p443 :rule trans :premises (@p442 @p432)) % 34.73/34.92 (step @p444 :rule bool-impl-elim :args (@t146 @t145)) % 34.73/34.92 (step @p445 :rule trans :premises (@p444 @p443)) % 34.73/34.92 (step @p446 :rule cong :premises (@p445) :args (@t148)) % 34.73/34.92 (step @p447 :rule trans :premises (@p446 @p431)) % 34.73/34.92 (step @p448 :rule refl :args (@t68)) % 34.73/34.92 (step @p449 :rule cong :premises (@p448 @p447) :args (@t149)) % 34.73/34.92 (step @p450 :rule cong :premises (@p449) :args (@t150)) % 34.73/34.92 (step @p451 :rule trans :premises (@p450 @p403)) % 34.73/34.92 (step @p452 :rule refl :args (@t94)) % 34.73/34.92 (step @p453 :rule cong :premises (@p452 @p451) :args (@t151)) % 34.73/34.92 (step @p454 :rule cong :premises (@p453) :args (@t152)) % 34.73/34.92 (step @p455 :rule trans :premises (@p454 @p369)) % 34.73/34.92 (step @p456 :rule refl :args (@t127)) % 34.73/34.92 (step @p457 :rule cong :premises (@p456 @p455) :args (@t153)) % 34.73/34.92 (step @p458 :rule cong :premises (@p457) :args (@t154)) % 34.73/34.92 (step @p459 :rule trans :premises (@p458 @p360)) % 34.73/34.92 (step @p460 :rule refl :args (@t155)) % 34.73/34.92 (step @p461 :rule cong :premises (@p460 @p459) :args (@t156)) % 34.73/34.92 (step @p462 :rule refl :args (@t104)) % 34.73/34.92 (step @p463 :rule cong :premises (@p462 @p461) :args (@t157)) % 34.73/34.92 (step @p464 :rule cong :premises (@p463) :args (@t158)) % 34.73/34.92 (step @p465 :rule trans :premises (@p464 @p342)) % 34.73/34.92 (step @p466 :rule refl :args (@t48)) % 34.73/34.92 (step @p467 :rule cong :premises (@p466 @p465) :args (@t159)) % 34.73/34.92 (step @p468 :rule cong :premises (@p467) :args (@t160)) % 34.73/34.92 (step @p469 :rule trans :premises (@p468 @p321)) % 34.73/34.92 (step @p470 :rule eq_resolve :premises (@p57 @p469)) % 34.73/34.92 (step @p471 :rule refl :args (@t448)) % 34.73/34.92 (step @p472 :rule refl :args (@t450)) % 34.73/34.92 (step @p473 :rule refl :args (@t452)) % 34.73/34.92 (step @p474 :rule refl :args (@t347)) % 34.73/34.92 (step @p475 :rule refl :args (@t454)) % 34.73/34.92 (step @p476 :rule eq-symm :args (@t320 @t322)) % 34.73/34.92 (step @p477 :rule cong :premises (@p476) :args (@t455)) % 34.73/34.92 (step @p478 :rule refl :args (@t457)) % 34.73/34.92 (step @p479 :rule refl :args (@t459)) % 34.73/34.92 (step @p480 :rule nary_cong :premises (@p479 @p478 @p477 @p475 @p474 @p473 @p472 @p471) :args (@t460)) % 34.73/34.92 (step @p481 :rule refl :args (@t461)) % 34.73/34.92 (step @p482 :rule cong :premises (@p481 @p480) :args ((=> @t461 @t460))) % 34.73/34.92 (assume-push @p844 @t461) % 34.73/34.92 (step @p484 :rule instantiate :premises (@p470) :args ((@list @t184 @t187 @t193 @t197))) % 34.73/34.92 (step-pop @p845 :rule scope :premises (@p484)) % 34.73/34.92 (step @p485 :rule process_scope :premises (@p845) :args (@t460)) % 34.73/34.92 (step @p487 :rule eq_resolve :premises (@p485 @p482)) % 34.73/34.92 (step @p488 :rule implies_elim :premises (@p487)) % 34.73/34.92 (step @p489 :rule chain_m_resolution :premises (@p488 @p470) :args (@t462 @t463 (@list @t461))) % 34.73/34.92 (step @p490 :rule instantiate :premises (@p145) :args ((@list @t185 @t184 @t183))) % 34.73/34.92 (step @p491 :rule bool-double-not-elim :args (@t325)) % 34.73/34.92 (step @p492 :rule nary_cong :premises (@p270 @p491) :args ((or @t336 (not @t326)))) % 34.73/34.92 (step @p493 :rule cnf_or_neg :args (@t336 7)) % 34.73/34.92 (step @p494 :rule eq_resolve :premises (@p493 @p492)) % 34.73/34.92 (step @p495 :rule reordering :premises (@p494) :args ((or @t325 @t336))) % 34.73/34.92 (step @p496 :rule chain_m_resolution :premises (@p495 @p268) :args (@t325 @t337 @t338)) % 34.73/34.92 (step @p497 :rule cnf_or_neg :args (@t336 6)) % 34.73/34.92 (step @p498 :rule chain_m_resolution :premises (@p497 @p268) :args ((not @t327) @t337 @t338)) % 34.73/34.92 (step @p499 :rule bool-double-not-elim :args (@t330)) % 34.73/34.92 (step @p500 :rule nary_cong :premises (@p270 @p499) :args ((or @t336 (not @t331)))) % 34.73/34.92 (step @p501 :rule cnf_or_neg :args (@t336 3)) % 34.73/34.92 (step @p502 :rule eq_resolve :premises (@p501 @p500)) % 34.73/34.92 (step @p503 :rule reordering :premises (@p502) :args ((or @t330 @t336))) % 34.73/34.92 (step @p504 :rule chain_m_resolution :premises (@p503 @p268) :args (@t330 @t337 @t338)) % 34.73/34.92 (step @p505 :rule cnf_or_neg :args (@t336 2)) % 34.73/34.92 (step @p506 :rule chain_m_resolution :premises (@p505 @p268) :args ((not @t332) @t337 @t338)) % 34.73/34.92 (step @p507 :rule cnf_or_pos :args (@t467)) % 34.73/34.92 (step @p508 :rule reordering :premises (@p507) :args ((or @t332 @t331 @t327 @t326 @t466 (not @t467)))) % 34.73/34.92 (step @p509 :rule chain_m_resolution :premises (@p508 @p506 @p504 @p498 @p496 @p490) :args (@t466 @t342 (@list @t332 @t330 @t327 @t325 @t467))) % 34.73/34.92 (step @p510 :rule cnf_or_neg :args (@t336 11)) % 34.73/34.92 (step @p511 :rule chain_m_resolution :premises (@p510 @p268) :args ((not @t312) @t337 @t338)) % 34.73/34.92 (step @p512 :rule bool-double-not-elim :args (@t464)) % 34.73/34.92 (step @p513 :rule refl :args (@t312)) % 34.73/34.92 (step @p514 :rule refl :args (@t468)) % 34.73/34.92 (step @p515 :rule nary_cong :premises (@p514 @p513 @p512) :args ((or @t468 @t312 (not @t465)))) % 34.73/34.92 (step @p516 :rule cnf_equiv_pos2 :args (@t466)) % 34.73/34.92 (step @p517 :rule eq_resolve :premises (@p516 @p515)) % 34.73/34.92 (step @p518 :rule reordering :premises (@p517) :args ((or @t312 @t464 @t468))) % 34.73/34.92 (step @p519 :rule chain_m_resolution :premises (@p518 @p511 @p509) :args (@t464 (@list true false) (@list @t312 @t466))) % 34.73/34.92 (step @p520 :rule instantiate :premises (@p519) :args ((@list @t193))) % 34.73/34.92 (step @p521 :rule bool-double-not-elim :args (@t346)) % 34.73/34.92 (step @p522 :rule nary_cong :premises (@p300 @p521) :args ((or @t348 (not @t347)))) % 34.73/34.92 (step @p523 :rule cnf_or_neg :args (@t348 0)) % 34.73/34.92 (step @p524 :rule eq_resolve :premises (@p523 @p522)) % 34.73/34.92 (step @p525 :rule reordering :premises (@p524) :args ((or @t346 @t348))) % 34.73/34.92 (step @p526 :rule chain_m_resolution :premises (@p525 @p298) :args (@t346 @t337 @t349)) % 34.73/34.92 (step @p527 :rule true_intro :premises (@p526)) % 34.73/34.92 (step @p528 :rule aci_norm :args ((= @t475 (or @t473 @t472 @t471)))) % 34.73/34.92 (step @p529 :rule cong :premises (@p528) :args (@t476)) % 34.73/34.92 (step @p530 :rule quant-merge-prenex :args ((= (forall @t50 @t478) @t476))) % 34.73/34.92 (step @p531 :rule alpha_equiv :args (@t479 (@list @t470 @t469) (@list @t5 @t2))) % 34.73/34.92 (step @p532 :rule refl :args (@t473)) % 34.73/34.92 (step @p533 :rule nary_cong :premises (@p532 @p531) :args (@t480)) % 34.73/34.92 (step @p534 :rule quant-miniscope-or :args ((= @t478 @t480))) % 34.73/34.92 (step @p535 :rule trans :premises (@p534 @p533)) % 34.73/34.92 (step @p536 :rule symm :premises (@p535)) % 34.73/34.92 (step @p537 :rule cong :premises (@p536) :args ((forall @t50 (or @t473 @t481)))) % 34.73/34.92 (step @p538 :rule trans :premises (@p537 @p530)) % 34.73/34.92 (step @p539 :rule trans :premises (@p538 @p529)) % 34.73/34.92 (step @p540 :rule bool-impl-elim :args (@t92 @t481)) % 34.73/34.92 (step @p541 :rule cong :premises (@p540) :args ((forall @t50 (=> @t92 @t481)))) % 34.73/34.92 (step @p542 :rule trans :premises (@p541 @p539)) % 34.73/34.92 (step @p543 :rule bool-impl-elim :args (@t122 @t121)) % 34.73/34.92 (step @p544 :rule cong :premises (@p543) :args (@t124)) % 34.73/34.92 (step @p545 :rule refl :args (@t92)) % 34.73/34.92 (step @p546 :rule cong :premises (@p545 @p544) :args (@t125)) % 34.73/34.92 (step @p547 :rule cong :premises (@p546) :args (@t126)) % 34.73/34.92 (step @p548 :rule trans :premises (@p547 @p542)) % 34.73/34.92 (step @p549 :rule eq_resolve :premises (@p35 @p548)) % 34.73/34.92 (step @p550 :rule instantiate :premises (@p549) :args ((@list @t190 @t321 @t194 @t319))) % 34.73/34.92 (step @p551 :rule eq-symm :args (@t482 @t483)) % 34.73/34.92 (step @p552 :rule refl :args (@t133)) % 34.73/34.92 (step @p553 :rule cong :premises (@p552 @p551) :args ((=> @t133 @t484))) % 34.73/34.92 (assume-push @p846 @t133) % 34.73/34.92 (step @p555 :rule instantiate :premises (@p54) :args ((@list @t190 @t190 @t321))) % 34.73/34.92 (step-pop @p847 :rule scope :premises (@p555)) % 34.73/34.92 (step @p556 :rule process_scope :premises (@p847) :args (@t484)) % 34.73/34.92 (step @p558 :rule eq_resolve :premises (@p556 @p553)) % 34.73/34.92 (step @p559 :rule implies_elim :premises (@p558)) % 34.73/34.92 (step @p560 :rule chain_m_resolution :premises (@p559 @p54) :args (@t485 @t463 (@list @t133))) % 34.73/34.92 (step @p561 :rule bool-impl-elim :args (@t48 @t109)) % 34.73/34.92 (step @p562 :rule cong :premises (@p561) :args (@t110)) % 34.73/34.92 (step @p563 :rule eq_resolve :premises (@p20 @p562)) % 34.73/34.92 (step @p564 :rule instantiate :premises (@p563) :args (@t486)) % 34.73/34.92 (step @p565 :rule aci_norm :args ((= @t491 (or @t179 @t489 @t488)))) % 34.73/34.92 (step @p566 :rule cong :premises (@p565) :args (@t492)) % 34.73/34.92 (step @p567 :rule quant-merge-prenex :args ((= (forall @t42 @t494) @t492))) % 34.73/34.92 (step @p568 :rule alpha_equiv :args (@t495 (@list @t487) (@list @t3))) % 34.73/34.92 (step @p569 :rule nary_cong :premises (@p74 @p568) :args (@t496)) % 34.73/34.92 (step @p570 :rule quant-miniscope-or :args ((= @t494 @t496))) % 34.73/34.92 (step @p571 :rule trans :premises (@p570 @p569)) % 34.73/34.92 (step @p572 :rule symm :premises (@p571)) % 34.73/34.92 (step @p573 :rule cong :premises (@p572) :args ((forall @t42 (or @t179 @t497)))) % 34.73/34.92 (step @p574 :rule trans :premises (@p573 @p567)) % 34.73/34.92 (step @p575 :rule trans :premises (@p574 @p566)) % 34.73/34.92 (step @p576 :rule bool-impl-elim :args (@t37 @t497)) % 34.73/34.92 (step @p577 :rule cong :premises (@p576) :args ((forall @t42 (=> @t37 @t497)))) % 34.73/34.92 (step @p578 :rule trans :premises (@p577 @p575)) % 34.73/34.92 (step @p579 :rule bool-impl-elim :args (@t76 @t104)) % 34.73/34.92 (step @p580 :rule cong :premises (@p579) :args (@t105)) % 34.73/34.92 (step @p581 :rule refl :args (@t37)) % 34.73/34.92 (step @p582 :rule cong :premises (@p581 @p580) :args (@t106)) % 34.73/34.92 (step @p583 :rule cong :premises (@p582) :args (@t107)) % 34.73/34.92 (step @p584 :rule trans :premises (@p583 @p578)) % 34.73/34.92 (step @p585 :rule eq_resolve :premises (@p18 @p584)) % 34.73/34.92 (step @p586 :rule instantiate :premises (@p585) :args (@t498)) % 34.73/34.92 (step @p587 :rule cnf_or_pos :args (@t499)) % 34.73/34.92 (step @p588 :rule reordering :premises (@p587) :args ((or @t334 @t328 @t456 (not @t499)))) % 34.73/34.92 (step @p589 :rule chain_m_resolution :premises (@p588 @p283 @p275 @p586) :args (@t456 @t500 (@list @t333 @t311 @t499))) % 34.73/34.92 (step @p590 :rule cnf_or_pos :args (@t501)) % 34.73/34.92 (step @p591 :rule reordering :premises (@p590) :args ((or @t457 @t482 (not @t501)))) % 34.73/34.92 (step @p592 :rule chain_m_resolution :premises (@p591 @p589 @p564) :args (@t482 @t343 (@list @t456 @t501))) % 34.73/34.92 (step @p593 :rule cnf_equiv_pos2 :args (@t485)) % 34.73/34.92 (step @p594 :rule reordering :premises (@p593) :args ((or @t483 (not @t482) (not @t485)))) % 34.73/34.92 (step @p595 :rule chain_m_resolution :premises (@p594 @p592 @p560) :args (@t483 @t343 (@list @t482 @t485))) % 34.73/34.92 (step @p596 :rule bool-double-not-elim :args (@t323)) % 34.73/34.92 (step @p597 :rule nary_cong :premises (@p270 @p596) :args ((or @t336 (not @t324)))) % 34.73/34.92 (step @p598 :rule cnf_or_neg :args (@t336 8)) % 34.73/34.92 (step @p599 :rule eq_resolve :premises (@p598 @p597)) % 34.73/34.92 (step @p600 :rule reordering :premises (@p599) :args ((or @t323 @t336))) % 34.73/34.92 (step @p601 :rule chain_m_resolution :premises (@p600 @p268) :args (@t323 @t337 @t338)) % 34.73/34.92 (step @p602 :rule cnf_or_pos :args (@t505)) % 34.73/34.92 (step @p603 :rule reordering :premises (@p602) :args ((or @t324 @t504 @t503 (not @t505)))) % 34.73/34.92 (step @p604 :rule chain_m_resolution :premises (@p603 @p601 @p595 @p550) :args (@t503 @t500 (@list @t323 @t483 @t505))) % 34.73/34.92 (step @p605 :rule cnf_and_pos :args (@t503 0)) % 34.73/34.92 (step @p606 :rule reordering :premises (@p605) :args ((or @t502 (not @t503)))) % 34.73/34.92 (step @p607 :rule chain_m_resolution :premises (@p606 @p604) :args (@t502 @t463 (@list @t503))) % 34.73/34.92 (step @p608 :rule symm :premises (@p607)) % 34.73/34.92 (step @p609 :rule refl :args (@t193)) % 34.73/34.92 (step @p610 :rule cong :premises (@p609 @p608) :args (@t453)) % 34.73/34.92 (step @p611 :rule trans :premises (@p610 @p527)) % 34.73/34.92 (step @p612 :rule true_elim :premises (@p611)) % 34.73/34.92 (step @p613 :rule cnf_or_pos :args (@t507)) % 34.73/34.92 (step @p614 :rule reordering :premises (@p613) :args ((or @t454 @t506 (not @t507)))) % 34.73/34.92 (step @p615 :rule chain_m_resolution :premises (@p614 @p612 @p520) :args (@t506 @t343 (@list @t453 @t507))) % 34.73/34.92 (step @p616 :rule skolemize :premises (@p615)) % 34.73/34.92 (step @p617 :rule bool-double-not-elim :args (@t451)) % 34.73/34.92 (step @p618 :rule refl :args (@t510)) % 34.73/34.92 (step @p619 :rule nary_cong :premises (@p618 @p617) :args ((or @t510 (not @t452)))) % 34.73/34.92 (step @p620 :rule cnf_or_neg :args (@t510 0)) % 34.73/34.92 (step @p621 :rule eq_resolve :premises (@p620 @p619)) % 34.73/34.92 (step @p622 :rule reordering :premises (@p621) :args ((or @t451 @t510))) % 34.73/34.92 (step @p623 :rule chain_m_resolution :premises (@p622 @p616) :args (@t451 @t337 @t511)) % 34.73/34.92 (step @p624 :rule true_intro :premises (@p623)) % 34.73/34.92 (step @p625 :rule refl :args (@t197)) % 34.73/34.92 (step @p626 :rule cong :premises (@p625 @p607) :args (@t449)) % 34.73/34.92 (step @p627 :rule trans :premises (@p626 @p624)) % 34.73/34.92 (step @p628 :rule true_elim :premises (@p627)) % 34.73/34.92 (step @p629 :rule instantiate :premises (@p585) :args (@t512)) % 34.73/34.92 (step @p630 :rule cnf_or_pos :args (@t513)) % 34.73/34.92 (step @p631 :rule reordering :premises (@p630) :args ((or @t331 @t326 @t458 (not @t513)))) % 34.73/34.92 (step @p632 :rule chain_m_resolution :premises (@p631 @p504 @p496 @p629) :args (@t458 @t500 (@list @t330 @t325 @t513))) % 34.73/34.92 (step @p633 :rule cnf_or_pos :args (@t462)) % 34.73/34.92 (step @p634 :rule reordering :premises (@p633) :args ((or @t324 @t457 @t459 @t347 @t454 @t452 @t450 @t448 (not @t462)))) % 34.73/34.92 (step @p635 :rule chain_m_resolution :premises (@p634 @p601 @p589 @p632 @p526 @p612 @p623 @p628 @p489) :args (@t448 (@list false false false false false false false false) (@list @t323 @t456 @t458 @t346 @t453 @t451 @t449 @t462))) % 34.73/34.92 (step @p636 :rule cnf_and_pos :args (@t448 0)) % 34.73/34.92 (step @p637 :rule reordering :premises (@p636) :args ((or @t447 (not @t448)))) % 34.73/34.92 (step @p638 :rule chain_m_resolution :premises (@p637 @p635) :args (@t447 @t463 (@list @t448))) % 34.73/34.92 (step @p639 :rule bool-double-not-elim :args (@t445)) % 34.73/34.92 (step @p640 :rule nary_cong :premises (@p618 @p639) :args ((or @t510 (not @t446)))) % 34.73/34.92 (step @p641 :rule cnf_or_neg :args (@t510 1)) % 34.73/34.92 (step @p642 :rule eq_resolve :premises (@p641 @p640)) % 34.73/34.92 (step @p643 :rule reordering :premises (@p642) :args ((or @t445 @t510))) % 34.73/34.92 (step @p644 :rule chain_m_resolution :premises (@p643 @p616) :args (@t445 @t337 @t511)) % 34.73/34.92 (step @p645 :rule cnf_or_pos :args (@t447)) % 34.73/34.92 (step @p646 :rule reordering :premises (@p645) :args ((or @t446 @t444 (not @t447)))) % 34.73/34.92 (step @p647 :rule chain_m_resolution :premises (@p646 @p644 @p638) :args (@t444 @t343 (@list @t445 @t447))) % 34.73/34.92 (step @p648 :rule cnf_or_pos :args (@t516)) % 34.73/34.92 (step @p649 :rule reordering :premises (@p648) :args ((or @t450 @t515 @t514 (not @t516)))) % 34.73/34.92 (step @p650 :rule chain_m_resolution :premises (@p649 @p628 @p647 @p306) :args (@t514 @t500 (@list @t449 @t444 @t516))) % 34.73/34.92 (step @p651 :rule cnf_or_pos :args (@t519)) % 34.73/34.92 (step @p652 :rule reordering :premises (@p651) :args ((or @t518 @t517 (not @t519)))) % 34.73/34.92 (step @p653 :rule chain_m_resolution :premises (@p652 @p650 @p69) :args (@t517 @t343 (@list @t514 @t519))) % 34.73/34.92 (step @p654 :rule true_intro :premises (@p653)) % 34.73/34.92 (step @p655 :rule refl :args (@t183)) % 34.73/34.92 (step @p656 :rule aci_norm :args ((= @t527 (or @t38 @t179 @t525 @t524 @t523 @t522)))) % 34.73/34.92 (step @p657 :rule cong :premises (@p656) :args (@t528)) % 34.73/34.92 (step @p658 :rule quant-merge-prenex :args ((= (forall @t42 @t530) @t528))) % 34.73/34.92 (step @p659 :rule alpha_equiv :args (@t531 (@list @t521 @t520) (@list @t3 @t532))) % 34.73/34.92 (step @p660 :rule nary_cong :premises (@p75 @p74 @p659) :args (@t533)) % 34.73/34.92 (step @p661 :rule quant-miniscope-or :args ((= @t530 @t533))) % 34.73/34.92 (step @p662 :rule trans :premises (@p661 @p660)) % 34.73/34.92 (step @p663 :rule symm :premises (@p662)) % 34.73/34.92 (step @p664 :rule cong :premises (@p663) :args ((forall @t42 @t539))) % 34.73/34.92 (step @p665 :rule trans :premises (@p664 @p658)) % 34.73/34.92 (step @p666 :rule trans :premises (@p665 @p657)) % 34.73/34.92 (step @p667 :rule aci_norm :args ((= (or @t222 @t538) @t539))) % 34.73/34.92 (step @p668 :rule refl :args (@t538)) % 34.73/34.92 (step @p669 :rule nary_cong :premises (@p88 @p668) :args ((or @t224 @t538))) % 34.73/34.92 (step @p670 :rule trans :premises (@p669 @p667)) % 34.73/34.92 (step @p671 :rule bool-impl-elim :args (@t40 @t538)) % 34.73/34.92 (step @p672 :rule trans :premises (@p671 @p670)) % 34.73/34.92 (step @p673 :rule cong :premises (@p672) :args ((forall @t42 (=> @t40 @t538)))) % 34.73/34.92 (step @p674 :rule trans :premises (@p673 @p666)) % 34.73/34.92 (step @p675 :rule aci_norm :args ((= @t541 @t536))) % 34.73/34.92 (step @p676 :rule cong :premises (@p675) :args (@t542)) % 34.73/34.92 (step @p677 :rule quant-merge-prenex :args ((= (forall @t35 @t544) @t542))) % 34.73/34.92 (step @p678 :rule alpha_equiv :args (@t545 (@list @t532) @t228)) % 34.73/34.92 (step @p679 :rule nary_cong :premises (@p98 @p97 @p678) :args (@t546)) % 34.73/34.92 (step @p680 :rule quant-miniscope-or :args ((= @t544 @t546))) % 34.73/34.92 (step @p681 :rule trans :premises (@p680 @p679)) % 34.73/34.92 (step @p682 :rule symm :premises (@p681)) % 34.73/34.92 (step @p683 :rule cong :premises (@p682) :args ((forall @t35 @t548))) % 34.73/34.92 (step @p684 :rule trans :premises (@p683 @p677)) % 34.73/34.92 (step @p685 :rule trans :premises (@p684 @p676)) % 34.73/34.92 (step @p686 :rule aci_norm :args ((= (or @t234 @t547) @t548))) % 34.73/34.92 (step @p687 :rule refl :args (@t547)) % 34.73/34.92 (step @p688 :rule nary_cong :premises (@p110 @p687) :args ((or @t236 @t547))) % 34.73/34.92 (step @p689 :rule trans :premises (@p688 @p686)) % 34.73/34.92 (step @p690 :rule bool-impl-elim :args (@t77 @t547)) % 34.73/34.92 (step @p691 :rule trans :premises (@p690 @p689)) % 34.73/34.92 (step @p692 :rule cong :premises (@p691) :args ((forall @t35 (=> @t77 @t547)))) % 34.73/34.92 (step @p693 :rule trans :premises (@p692 @p685)) % 34.73/34.92 (step @p694 :rule bool-impl-elim :args (@t85 @t84)) % 34.73/34.92 (step @p695 :rule cong :premises (@p694) :args (@t86)) % 34.73/34.92 (step @p696 :rule cong :premises (@p137 @p695) :args (@t87)) % 34.73/34.92 (step @p697 :rule cong :premises (@p696) :args (@t88)) % 34.73/34.92 (step @p698 :rule trans :premises (@p697 @p693)) % 34.73/34.92 (step @p699 :rule cong :premises (@p141 @p698) :args (@t89)) % 34.73/34.92 (step @p700 :rule cong :premises (@p699) :args (@t90)) % 34.73/34.92 (step @p701 :rule trans :premises (@p700 @p674)) % 34.73/34.92 (step @p702 :rule eq_resolve :premises (@p11 @p701)) % 34.73/34.92 (step @p703 :rule instantiate :premises (@p702) :args ((@list @t188 @t187 @t197))) % 34.73/34.92 (step @p704 :rule cnf_or_pos :args (@t551)) % 34.73/34.92 (step @p705 :rule reordering :premises (@p704) :args ((or @t335 @t334 @t329 @t328 @t450 @t550 (not @t551)))) % 34.73/34.92 (step @p706 :rule chain_m_resolution :premises (@p705 @p285 @p283 @p277 @p275 @p628 @p703) :args (@t550 @t552 (@list @t335 @t333 @t329 @t311 @t449 @t551))) % 34.73/34.92 (step @p707 :rule symm :premises (@p706)) % 34.73/34.92 (step @p708 :rule aci_norm :args ((= (or (or @t38 @t179 @t31 @t258 @t555 @t554 @t553 @t411) @t131) (or @t38 @t179 @t31 @t258 @t555 @t554 @t553 @t411 @t131)))) % 34.73/34.92 (step @p709 :rule refl :args (@t131)) % 34.73/34.92 (step @p710 :rule refl :args (@t411)) % 34.73/34.92 (step @p711 :rule refl :args (@t553)) % 34.73/34.92 (step @p712 :rule refl :args (@t554)) % 34.73/34.92 (step @p713 :rule refl :args (@t555)) % 34.73/34.92 (step @p714 :rule nary_cong :premises (@p85 @p74 @p107 @p170 @p713 @p712 @p711 @p710) :args (@t556)) % 34.73/34.92 (step @p715 :rule aci_norm :args ((= (or @t223 (or @t179 (or @t235 (or @t258 (or @t555 (or @t554 (or @t553 @t411))))))) @t556))) % 34.73/34.92 (step @p716 :rule trans :premises (@p715 @p714)) % 34.73/34.92 (step @p717 :rule bool-and-de-morgan :args (@t95 @t94 true)) % 34.73/34.92 (step @p718 :rule nary_cong :premises (@p712 @p717) :args ((or @t554 (not (and @t95 @t94))))) % 34.73/34.92 (step @p719 :rule bool-and-de-morgan :args (@t96 @t95 (and @t94))) % 34.73/34.92 (step @p720 :rule trans :premises (@p719 @p718)) % 34.73/34.92 (step @p721 :rule nary_cong :premises (@p713 @p720) :args ((or @t555 (not (and @t96 @t95 @t94))))) % 34.73/34.92 (step @p722 :rule bool-and-de-morgan :args (@t97 @t96 (and @t95 @t94))) % 34.73/34.92 (step @p723 :rule trans :premises (@p722 @p721)) % 34.73/34.92 (step @p724 :rule nary_cong :premises (@p170 @p723) :args ((or @t258 (not (and @t97 @t96 @t95 @t94))))) % 34.73/34.92 (step @p725 :rule bool-and-de-morgan :args (@t30 @t97 (and @t96 @t95 @t94))) % 34.73/34.92 (step @p726 :rule trans :premises (@p725 @p724)) % 34.73/34.92 (step @p727 :rule refl :args (@t235)) % 34.73/34.92 (step @p728 :rule nary_cong :premises (@p727 @p726) :args ((or @t235 (not (and @t30 @t97 @t96 @t95 @t94))))) % 34.73/34.92 (step @p729 :rule bool-and-de-morgan :args (@t32 @t30 (and @t97 @t96 @t95 @t94))) % 34.73/34.92 (step @p730 :rule trans :premises (@p729 @p728)) % 34.73/34.92 (step @p731 :rule nary_cong :premises (@p74 @p730) :args ((or @t179 (not (and @t32 @t30 @t97 @t96 @t95 @t94))))) % 34.73/34.92 (step @p732 :rule bool-and-de-morgan :args (@t37 @t32 (and @t30 @t97 @t96 @t95 @t94))) % 34.73/34.92 (step @p733 :rule trans :premises (@p732 @p731)) % 34.73/34.92 (step @p734 :rule refl :args (@t223)) % 34.73/34.92 (step @p735 :rule nary_cong :premises (@p734 @p733) :args ((or @t223 (not (and @t37 @t32 @t30 @t97 @t96 @t95 @t94))))) % 34.73/34.92 (step @p736 :rule bool-and-de-morgan :args (@t39 @t37 (and @t32 @t30 @t97 @t96 @t95 @t94))) % 34.73/34.92 (step @p737 :rule trans :premises (@p736 @p735)) % 34.73/34.92 (step @p738 :rule trans :premises (@p737 @p716)) % 34.73/34.92 (step @p739 :rule nary_cong :premises (@p738 @p709) :args ((or (not @t98) @t131))) % 34.73/34.92 (step @p740 :rule trans :premises (@p739 @p708)) % 34.73/34.92 (step @p741 :rule bool-impl-elim :args (@t98 @t131)) % 34.73/34.92 (step @p742 :rule trans :premises (@p741 @p740)) % 34.73/34.92 (step @p743 :rule cong :premises (@p742) :args (@t132)) % 34.73/34.92 (step @p744 :rule eq_resolve :premises (@p52 @p743)) % 34.73/34.92 (step @p745 :rule instantiate :premises (@p744) :args ((@list @t187 @t188 @t316 @t197))) % 34.73/34.92 (step @p746 :rule instantiate :premises (@p54) :args ((@list @t190 @t557 @t316))) % 34.73/34.92 (step @p747 :rule aci_norm :args ((= (or (or @t179 @t218) @t113) (or @t179 @t218 @t113)))) % 34.73/34.92 (step @p748 :rule refl :args (@t113)) % 34.73/34.92 (step @p749 :rule bool-and-de-morgan :args (@t37 @t76 true)) % 34.73/34.92 (step @p750 :rule nary_cong :premises (@p749 @p748) :args ((or (not @t114) @t113))) % 34.73/34.92 (step @p751 :rule trans :premises (@p750 @p747)) % 34.73/34.92 (step @p752 :rule bool-impl-elim :args (@t114 @t113)) % 34.73/34.92 (step @p753 :rule trans :premises (@p752 @p751)) % 34.73/34.92 (step @p754 :rule cong :premises (@p753) :args (@t115)) % 34.73/34.92 (step @p755 :rule eq_resolve :premises (@p21 @p754)) % 34.73/34.92 (step @p756 :rule instantiate :premises (@p755) :args (@t498)) % 34.73/34.92 (step @p757 :rule cnf_or_pos :args (@t562)) % 34.73/34.92 (step @p758 :rule reordering :premises (@p757) :args ((or @t334 @t328 @t561 (not @t562)))) % 34.73/34.92 (step @p759 :rule chain_m_resolution :premises (@p758 @p283 @p275 @p756) :args (@t561 @t500 (@list @t333 @t311 @t562))) % 34.73/34.92 (step @p760 :rule cnf_and_pos :args (@t561 2)) % 34.73/34.92 (step @p761 :rule reordering :premises (@p760) :args ((or @t558 @t563))) % 34.73/34.92 (step @p762 :rule chain_m_resolution :premises (@p761 @p759) :args (@t558 @t463 @t564)) % 34.73/34.92 (step @p763 :rule cnf_equiv_pos1 :args (@t566)) % 34.73/34.92 (step @p764 :rule reordering :premises (@p763) :args ((or (not @t558) @t565 (not @t566)))) % 34.73/34.92 (step @p765 :rule chain_m_resolution :premises (@p764 @p762 @p746) :args (@t565 @t343 (@list @t558 @t566))) % 34.73/34.92 (step @p766 :rule cnf_and_pos :args (@t561 1)) % 34.73/34.92 (step @p767 :rule reordering :premises (@p766) :args ((or @t559 @t563))) % 34.73/34.92 (step @p768 :rule chain_m_resolution :premises (@p767 @p759) :args (@t559 @t463 @t564)) % 34.73/34.92 (step @p769 :rule cnf_and_pos :args (@t561 0)) % 34.73/34.92 (step @p770 :rule reordering :premises (@p769) :args ((or @t560 @t563))) % 34.73/34.92 (step @p771 :rule chain_m_resolution :premises (@p770 @p759) :args (@t560 @t463 @t564)) % 34.73/34.92 (step @p772 :rule bool-impl-elim :args (@t48 @t37)) % 34.73/34.92 (step @p773 :rule cong :premises (@p772) :args (@t103)) % 34.73/34.92 (step @p774 :rule eq_resolve :premises (@p17 @p773)) % 34.73/34.92 (step @p775 :rule instantiate :premises (@p774) :args (@t486)) % 34.73/34.92 (step @p776 :rule cnf_or_pos :args (@t568)) % 34.73/34.92 (step @p777 :rule reordering :premises (@p776) :args ((or @t457 @t567 (not @t568)))) % 34.73/34.92 (step @p778 :rule chain_m_resolution :premises (@p777 @p589 @p775) :args (@t567 @t343 (@list @t456 @t568))) % 34.73/34.92 (step @p779 :rule cnf_or_pos :args (@t574)) % 34.73/34.92 (step @p780 :rule reordering :premises (@p779) :args ((or @t335 @t334 @t329 @t573 @t572 @t571 @t570 @t450 @t569 (not @t574)))) % 34.73/34.92 (step @p781 :rule chain_m_resolution :premises (@p780 @p285 @p283 @p277 @p778 @p771 @p768 @p765 @p628 @p745) :args (@t569 @t575 (@list @t335 @t333 @t329 @t567 @t560 @t559 @t565 @t449 @t574))) % 34.73/34.92 (step @p782 :rule symm :premises (@p781)) % 34.73/34.92 (step @p783 :rule bool-double-not-elim :args (@t317)) % 34.73/34.92 (step @p784 :rule nary_cong :premises (@p270 @p783) :args ((or @t336 (not @t318)))) % 34.73/34.92 (step @p785 :rule cnf_or_neg :args (@t336 9)) % 34.73/34.92 (step @p786 :rule eq_resolve :premises (@p785 @p784)) % 34.73/34.92 (step @p787 :rule reordering :premises (@p786) :args ((or @t317 @t336))) % 34.73/34.92 (step @p788 :rule chain_m_resolution :premises (@p787 @p268) :args (@t317 @t337 @t338)) % 34.73/34.92 (step @p789 :rule symm :premises (@p788)) % 34.73/34.92 (step @p790 :rule cong :premises (@p789 @p625) :args (@t576)) % 34.73/34.92 (step @p791 :rule instantiate :premises (@p744) :args ((@list @t184 @t185 @t315 @t197))) % 34.73/34.92 (step @p792 :rule instantiate :premises (@p54) :args ((@list @t194 @t577 @t315))) % 34.73/34.92 (step @p793 :rule instantiate :premises (@p755) :args (@t512)) % 34.73/34.92 (step @p794 :rule cnf_or_pos :args (@t582)) % 34.73/34.92 (step @p795 :rule reordering :premises (@p794) :args ((or @t331 @t326 @t581 (not @t582)))) % 34.73/34.92 (step @p796 :rule chain_m_resolution :premises (@p795 @p504 @p496 @p793) :args (@t581 @t500 (@list @t330 @t325 @t582))) % 34.73/34.92 (step @p797 :rule cnf_and_pos :args (@t581 2)) % 34.73/34.92 (step @p798 :rule reordering :premises (@p797) :args ((or @t578 @t583))) % 34.73/34.92 (step @p799 :rule chain_m_resolution :premises (@p798 @p796) :args (@t578 @t463 @t584)) % 34.73/34.92 (step @p800 :rule cnf_equiv_pos1 :args (@t586)) % 34.73/34.92 (step @p801 :rule reordering :premises (@p800) :args ((or (not @t578) @t585 (not @t586)))) % 34.73/34.92 (step @p802 :rule chain_m_resolution :premises (@p801 @p799 @p792) :args (@t585 @t343 (@list @t578 @t586))) % 34.73/34.92 (step @p803 :rule cnf_and_pos :args (@t581 1)) % 34.73/34.92 (step @p804 :rule reordering :premises (@p803) :args ((or @t579 @t583))) % 34.73/34.92 (step @p805 :rule chain_m_resolution :premises (@p804 @p796) :args (@t579 @t463 @t584)) % 34.73/34.92 (step @p806 :rule cnf_and_pos :args (@t581 0)) % 34.73/34.92 (step @p807 :rule reordering :premises (@p806) :args ((or @t580 @t583))) % 34.73/34.92 (step @p808 :rule chain_m_resolution :premises (@p807 @p796) :args (@t580 @t463 @t584)) % 34.73/34.92 (step @p809 :rule instantiate :premises (@p774) :args ((@list @t184))) % 34.73/34.92 (step @p810 :rule cnf_or_pos :args (@t588)) % 34.73/34.92 (step @p811 :rule reordering :premises (@p810) :args ((or @t459 @t587 (not @t588)))) % 34.73/34.92 (step @p812 :rule chain_m_resolution :premises (@p811 @p632 @p809) :args (@t587 @t343 (@list @t458 @t588))) % 34.73/34.92 (step @p813 :rule cnf_or_pos :args (@t595)) % 34.73/34.92 (step @p814 :rule reordering :premises (@p813) :args ((or @t332 @t331 @t327 @t594 @t593 @t592 @t591 @t452 @t590 (not @t595)))) % 34.73/34.92 (step @p815 :rule chain_m_resolution :premises (@p814 @p506 @p504 @p498 @p812 @p808 @p805 @p802 @p623 @p791) :args (@t590 @t575 (@list @t332 @t330 @t327 @t587 @t580 @t579 @t585 @t451 @t595))) % 34.73/34.92 (step @p816 :rule instantiate :premises (@p702) :args ((@list @t185 @t184 @t197))) % 34.73/34.92 (step @p817 :rule cnf_or_pos :args (@t597)) % 34.73/34.92 (step @p818 :rule reordering :premises (@p817) :args ((or @t332 @t331 @t327 @t326 @t452 @t596 (not @t597)))) % 34.73/34.92 (step @p819 :rule chain_m_resolution :premises (@p818 @p506 @p504 @p498 @p496 @p623 @p816) :args (@t596 @t552 (@list @t332 @t330 @t327 @t325 @t451 @t597))) % 34.73/34.92 (step @p820 :rule trans :premises (@p819 @p815 @p790 @p782 @p707)) % 34.73/34.92 (step @p821 :rule cong :premises (@p820 @p655) :args (@t598)) % 34.73/34.92 (step @p822 :rule aci_norm :args ((= (or @t599 @t161) (or @t599 @t119 @t49)))) % 34.73/34.92 (step @p823 :rule bool-impl-elim :args (@t134 @t161)) % 34.73/34.92 (step @p824 :rule trans :premises (@p823 @p822)) % 34.73/34.92 (step @p825 :rule cong :premises (@p824) :args (@t162)) % 34.73/34.92 (step @p826 :rule eq_resolve :premises (@p58 @p825)) % 34.73/34.92 (step @p827 :rule instantiate :premises (@p826) :args ((@list @t508 @t183))) % 34.73/34.92 (step @p828 :rule bool-and-de-morgan :args (@t49 @t119 true)) % 34.73/34.92 (step @p829 :rule cong :premises (@p828) :args (@t164)) % 34.73/34.92 (step @p830 :rule eq_resolve :premises (@p63 @p829)) % 34.73/34.92 (step @p831 :rule instantiate :premises (@p830) :args (@t199)) % 34.73/34.92 (step @p832 :rule cnf_or_pos :args (@t602)) % 34.73/34.92 (step @p833 :rule reordering :premises (@p832) :args ((or @t601 @t518 (not @t602)))) % 34.73/34.92 (step @p834 :rule chain_m_resolution :premises (@p833 @p650 @p831) :args (@t601 @t343 (@list @t514 @t602))) % 34.73/34.92 (step @p835 :rule cnf_or_neg :args (@t510 2)) % 34.73/34.92 (step @p836 :rule chain_m_resolution :premises (@p835 @p616) :args ((not @t509) @t337 @t511)) % 34.73/34.92 (step @p837 :rule cnf_or_pos :args (@t604)) % 34.73/34.92 (step @p838 :rule reordering :premises (@p837) :args ((or @t509 @t603 @t600 (not @t604)))) % 34.73/34.92 (step @p839 :rule chain_m_resolution :premises (@p838 @p836 @p834 @p827) :args (@t603 (@list true true false) (@list @t509 @t600 @t604))) % 34.73/34.92 (step @p840 :rule false_intro :premises (@p839)) % 34.73/34.92 (step @p841 :rule symm :premises (@p840)) % 34.73/34.92 (step @p842 :rule trans :premises (@p841 @p821 @p654)) % 34.73/34.92 (step @p843 false :rule eq_resolve :premises (@p842 @p65)) % 34.73/34.92 ) % 34.73/34.92 % SZS output end Proof % 34.73/34.92 % cvc5 exiting %------------------------------------------------------------------------------