%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU411+1 : TPTP v9.2.1. Released v3.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:40 AM UTC 2026 % Result : Theorem 16.73s 16.99s % Output : Proof 16.73s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU411+1 : TPTP v9.2.1. Released v3.4.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 17:12:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 16.73/16.99 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.73/16.99 --- Run --no-e-matching --full-saturate-quant at 6... % 16.73/16.99 % SZS status Theorem % 16.73/16.99 % SZS output start Proof % 16.73/16.99 ( % 16.73/16.99 (declare-sort $$unsorted 0) % 16.73/16.99 (declare-const tptp.r3_orders_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.73/16.99 (declare-const tptp.l1_struct_0 (-> $$unsorted Bool)) % 16.73/16.99 (declare-const tptp.v3_struct_0 (-> $$unsorted Bool)) % 16.73/16.99 (declare-const tptp.k1_xboole_0 $$unsorted) % 16.73/16.99 (declare-const tptp.v2_orders_2 (-> $$unsorted Bool)) % 16.73/16.99 (declare-const tptp.v3_orders_2 (-> $$unsorted Bool)) % 16.73/16.99 (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted)) % 16.73/16.99 (declare-const tptp.k3_yellow_0 (-> $$unsorted $$unsorted)) % 16.73/16.99 (declare-const tptp.v1_yellow_0 (-> $$unsorted Bool)) % 16.73/16.99 (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool)) % 16.73/16.99 (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool)) % 16.73/16.99 (declare-const tptp.v1_lattice3 (-> $$unsorted Bool)) % 16.73/16.99 (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted)) % 16.73/16.99 (declare-const tptp.k3_xboole_0 (-> $$unsorted $$unsorted $$unsorted)) % 16.73/16.99 (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool)) % 16.73/16.99 (declare-const tptp.v4_orders_2 (-> $$unsorted Bool)) % 16.73/16.99 (declare-const tptp.v12_waybel_0 (-> $$unsorted $$unsorted Bool)) % 16.73/16.99 (declare-const tptp.v1_waybel_0 (-> $$unsorted $$unsorted Bool)) % 16.73/16.99 (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool)) % 16.73/16.99 (declare-const tptp.r1_orders_2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.73/16.99 (declare-const tptp.l1_orders_2 (-> $$unsorted Bool)) % 16.73/16.99 (define @t1 () (@var "A" $$unsorted)) % 16.73/16.99 (define @t2 () (tptp.u1_struct_0 @t1)) % 16.73/16.99 (define @t3 () (@var "B" $$unsorted)) % 16.73/16.99 (define @t4 () (tptp.r2_hidden (tptp.k3_yellow_0 @t3) @t2)) % 16.73/16.99 (define @t5 () (tptp.u1_struct_0 @t3)) % 16.73/16.99 (define @t6 () (tptp.k3_xboole_0 @t2 @t5)) % 16.73/16.99 (define @t7 () (tptp.m1_subset_1 @t6 (tptp.k1_zfmisc_1 @t5))) % 16.73/16.99 (define @t8 () (tptp.v12_waybel_0 @t6 @t3)) % 16.73/16.99 (define @t9 () (tptp.v1_waybel_0 @t6 @t3)) % 16.73/16.99 (define @t10 () (tptp.v1_xboole_0 @t6)) % 16.73/16.99 (define @t11 () (not @t10)) % 16.73/16.99 (define @t12 () (and @t11 @t9 @t8 @t7)) % 16.73/16.99 (define @t13 () (=> @t12 @t4)) % 16.73/16.99 (define @t14 () (tptp.l1_orders_2 @t3)) % 16.73/16.99 (define @t15 () (tptp.v1_lattice3 @t3)) % 16.73/16.99 (define @t16 () (tptp.v1_yellow_0 @t3)) % 16.73/16.99 (define @t17 () (tptp.v4_orders_2 @t3)) % 16.73/16.99 (define @t18 () (tptp.v3_orders_2 @t3)) % 16.73/16.99 (define @t19 () (tptp.v2_orders_2 @t3)) % 16.73/16.99 (define @t20 () (tptp.v3_struct_0 @t3)) % 16.73/16.99 (define @t21 () (not @t20)) % 16.73/16.99 (define @t22 () (and @t21 @t19 @t18 @t17 @t16 @t15 @t14)) % 16.73/16.99 (define @t23 () (@list @t3)) % 16.73/16.99 (define @t24 () (forall @t23 (=> @t22 @t13))) % 16.73/16.99 (define @t25 () (tptp.l1_orders_2 @t1)) % 16.73/16.99 (define @t26 () (tptp.v1_lattice3 @t1)) % 16.73/16.99 (define @t27 () (tptp.v1_yellow_0 @t1)) % 16.73/16.99 (define @t28 () (tptp.v4_orders_2 @t1)) % 16.73/16.99 (define @t29 () (tptp.v3_orders_2 @t1)) % 16.73/16.99 (define @t30 () (tptp.v2_orders_2 @t1)) % 16.73/16.99 (define @t31 () (tptp.v3_struct_0 @t1)) % 16.73/16.99 (define @t32 () (not @t31)) % 16.73/16.99 (define @t33 () (and @t32 @t30 @t29 @t28 @t27 @t26 @t25)) % 16.73/16.99 (define @t34 () (=> @t33 @t24)) % 16.73/16.99 (define @t35 () (@list @t1)) % 16.73/16.99 (define @t36 () (forall @t35 @t34)) % 16.73/16.99 (define @t37 () (not @t36)) % 16.73/16.99 (define @t38 () (not (tptp.r2_hidden @t3 @t1))) % 16.73/16.99 (define @t39 () (tptp.r2_hidden @t1 @t3)) % 16.73/16.99 (define @t40 () (@list @t1 @t3)) % 16.73/16.99 (define @t41 () (tptp.k3_xboole_0 @t1 @t3)) % 16.73/16.99 (define @t42 () (@var "D" $$unsorted)) % 16.73/16.99 (define @t43 () (tptp.r2_hidden @t42 @t3)) % 16.73/16.99 (define @t44 () (@var "C" $$unsorted)) % 16.73/16.99 (define @t45 () (tptp.r1_orders_2 @t1 @t42 @t44)) % 16.73/16.99 (define @t46 () (tptp.r2_hidden @t44 @t3)) % 16.73/16.99 (define @t47 () (and @t46 @t45)) % 16.73/16.99 (define @t48 () (=> @t47 @t43)) % 16.73/16.99 (define @t49 () (tptp.m1_subset_1 @t42 @t2)) % 16.73/16.99 (define @t50 () (@list @t42)) % 16.73/16.99 (define @t51 () (forall @t50 (=> @t49 @t48))) % 16.73/16.99 (define @t52 () (tptp.m1_subset_1 @t44 @t2)) % 16.73/16.99 (define @t53 () (=> @t52 @t51)) % 16.73/16.99 (define @t54 () (@list @t44)) % 16.73/16.99 (define @t55 () (forall @t54 @t53)) % 16.73/16.99 (define @t56 () (tptp.v12_waybel_0 @t3 @t1)) % 16.73/16.99 (define @t57 () (= @t56 @t55)) % 16.73/16.99 (define @t58 () (tptp.k1_zfmisc_1 @t2)) % 16.73/16.99 (define @t59 () (tptp.m1_subset_1 @t3 @t58)) % 16.73/16.99 (define @t60 () (=> @t59 @t57)) % 16.73/16.99 (define @t61 () (forall @t23 @t60)) % 16.73/16.99 (define @t62 () (=> @t25 @t61)) % 16.73/16.99 (define @t63 () (forall @t35 @t62)) % 16.73/16.99 (define @t64 () (= @t1 tptp.k1_xboole_0)) % 16.73/16.99 (define @t65 () (forall @t35 (= @t64 (forall @t23 @t38)))) % 16.73/16.99 (define @t66 () (@list @t1 @t3 @t44)) % 16.73/16.99 (define @t67 () (tptp.k3_yellow_0 @t1)) % 16.73/16.99 (define @t68 () (tptp.m1_subset_1 @t67 @t2)) % 16.73/16.99 (define @t69 () (forall @t35 (=> @t25 @t68))) % 16.73/16.99 (define @t70 () (tptp.l1_struct_0 @t1)) % 16.73/16.99 (define @t71 () (forall @t35 (=> @t25 @t70))) % 16.73/16.99 (define @t72 () (not (tptp.v1_xboole_0 @t2))) % 16.73/16.99 (define @t73 () (and @t32 @t70)) % 16.73/16.99 (define @t74 () (forall @t35 (=> @t73 @t72))) % 16.73/16.99 (define @t75 () (tptp.v1_xboole_0 tptp.k1_xboole_0)) % 16.73/16.99 (define @t76 () (tptp.v1_xboole_0 @t1)) % 16.73/16.99 (define @t77 () (tptp.v1_xboole_0 @t3)) % 16.73/16.99 (define @t78 () (not @t77)) % 16.73/16.99 (define @t79 () (tptp.m1_subset_1 @t3 @t2)) % 16.73/16.99 (define @t80 () (and @t32 @t30 @t25 @t79 @t52)) % 16.73/16.99 (define @t81 () (tptp.m1_subset_1 @t44 @t5)) % 16.73/16.99 (define @t82 () (tptp.r2_hidden @t44 @t6)) % 16.73/16.99 (define @t83 () (forall @t54 (=> @t82 @t81))) % 16.73/16.99 (define @t84 () (and @t21 @t14)) % 16.73/16.99 (define @t85 () (=> @t84 @t83)) % 16.73/16.99 (define @t86 () (forall @t23 @t85)) % 16.73/16.99 (define @t87 () (and @t32 @t25)) % 16.73/16.99 (define @t88 () (=> @t87 @t86)) % 16.73/16.99 (define @t89 () (forall @t35 @t88)) % 16.73/16.99 (define @t90 () (tptp.m1_subset_1 @t1 @t3)) % 16.73/16.99 (define @t91 () (or @t77 @t39)) % 16.73/16.99 (define @t92 () (forall @t40 (=> @t90 @t91))) % 16.73/16.99 (define @t93 () (tptp.r1_orders_2 @t1 @t67 @t3)) % 16.73/16.99 (define @t94 () (forall @t23 (=> @t79 @t93))) % 16.73/16.99 (define @t95 () (and @t32 @t28 @t27 @t25)) % 16.73/16.99 (define @t96 () (=> @t95 @t94)) % 16.73/16.99 (define @t97 () (forall @t35 @t96)) % 16.73/16.99 (define @t98 () (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t44))) % 16.73/16.99 (define @t99 () (@var "BOUND_VARIABLE_7892" $$unsorted)) % 16.73/16.99 (define @t100 () (tptp.r1_orders_2 @t1 @t67 @t99)) % 16.73/16.99 (define @t101 () (not (tptp.m1_subset_1 @t99 @t2))) % 16.73/16.99 (define @t102 () (not @t25)) % 16.73/16.99 (define @t103 () (not @t27)) % 16.73/16.99 (define @t104 () (not @t28)) % 16.73/16.99 (define @t105 () (or @t31 @t104 @t103 @t102 @t101 @t100)) % 16.73/16.99 (define @t106 () (or @t101 @t100)) % 16.73/16.99 (define @t107 () (or @t31 @t104 @t103 @t102 @t106)) % 16.73/16.99 (define @t108 () (@list @t1 @t99)) % 16.73/16.99 (define @t109 () (forall @t108 @t107)) % 16.73/16.99 (define @t110 () (@list @t99)) % 16.73/16.99 (define @t111 () (forall @t110 @t107)) % 16.73/16.99 (define @t112 () (forall @t110 @t106)) % 16.73/16.99 (define @t113 () (@list @t3)) % 16.73/16.99 (define @t114 () (or @t31 @t104 @t103 @t102 @t112)) % 16.73/16.99 (define @t115 () (forall @t23 (or (not @t79) @t93))) % 16.73/16.99 (define @t116 () (or @t31 @t104 @t103 @t102 @t115)) % 16.73/16.99 (define @t117 () (not @t32)) % 16.73/16.99 (define @t118 () (or @t117 @t104 @t103 @t102)) % 16.73/16.99 (define @t119 () (@var "BOUND_VARIABLE_7726" $$unsorted)) % 16.73/16.99 (define @t120 () (@var "BOUND_VARIABLE_7703" $$unsorted)) % 16.73/16.99 (define @t121 () (not (tptp.r1_orders_2 @t1 @t120 @t44))) % 16.73/16.99 (define @t122 () (not (tptp.m1_subset_1 @t120 @t2))) % 16.73/16.99 (define @t123 () (not @t52)) % 16.73/16.99 (define @t124 () (@list @t44 @t120)) % 16.73/16.99 (define @t125 () (= (tptp.v12_waybel_0 @t119 @t1) (forall @t124 (or @t123 (not (tptp.r2_hidden @t44 @t119)) @t122 @t121 (tptp.r2_hidden @t120 @t119))))) % 16.73/16.99 (define @t126 () (not (tptp.m1_subset_1 @t119 @t58))) % 16.73/16.99 (define @t127 () (or @t126 @t125)) % 16.73/16.99 (define @t128 () (or @t102 @t127)) % 16.73/16.99 (define @t129 () (forall (@list @t1 @t119) @t128)) % 16.73/16.99 (define @t130 () (@list @t119)) % 16.73/16.99 (define @t131 () (forall @t130 @t128)) % 16.73/16.99 (define @t132 () (forall @t130 @t127)) % 16.73/16.99 (define @t133 () (or @t102 @t132)) % 16.73/16.99 (define @t134 () (tptp.r2_hidden @t120 @t3)) % 16.73/16.99 (define @t135 () (not @t46)) % 16.73/16.99 (define @t136 () (or @t123 @t135 @t122 @t121 @t134)) % 16.73/16.99 (define @t137 () (= @t56 (forall @t124 @t136))) % 16.73/16.99 (define @t138 () (forall @t23 (or (not @t59) @t137))) % 16.73/16.99 (define @t139 () (or @t122 @t121 @t134)) % 16.73/16.99 (define @t140 () (or @t123 @t135 @t139)) % 16.73/16.99 (define @t141 () (forall @t124 @t140)) % 16.73/16.99 (define @t142 () (@list @t120)) % 16.73/16.99 (define @t143 () (forall @t142 @t140)) % 16.73/16.99 (define @t144 () (forall @t142 @t139)) % 16.73/16.99 (define @t145 () (or @t123 @t135 @t144)) % 16.73/16.99 (define @t146 () (not @t45)) % 16.73/16.99 (define @t147 () (not @t49)) % 16.73/16.99 (define @t148 () (or @t147 @t146 @t43)) % 16.73/16.99 (define @t149 () (forall @t50 @t148)) % 16.73/16.99 (define @t150 () (or @t123 @t135 @t149)) % 16.73/16.99 (define @t151 () (or @t135 @t149)) % 16.73/16.99 (define @t152 () (or @t135 @t148)) % 16.73/16.99 (define @t153 () (or @t147 @t135 @t146 @t43)) % 16.73/16.99 (define @t154 () (or @t135 @t146 @t43)) % 16.73/16.99 (define @t155 () (@var "BOUND_VARIABLE_7648" $$unsorted)) % 16.73/16.99 (define @t156 () (tptp.r2_hidden (tptp.k3_yellow_0 @t155) @t2)) % 16.73/16.99 (define @t157 () (tptp.u1_struct_0 @t155)) % 16.73/16.99 (define @t158 () (tptp.k3_xboole_0 @t2 @t157)) % 16.73/16.99 (define @t159 () (not (tptp.m1_subset_1 @t158 (tptp.k1_zfmisc_1 @t157)))) % 16.73/16.99 (define @t160 () (not (tptp.v12_waybel_0 @t158 @t155))) % 16.73/16.99 (define @t161 () (not (tptp.v1_waybel_0 @t158 @t155))) % 16.73/16.99 (define @t162 () (tptp.v1_xboole_0 @t158)) % 16.73/16.99 (define @t163 () (not (tptp.l1_orders_2 @t155))) % 16.73/16.99 (define @t164 () (not (tptp.v1_lattice3 @t155))) % 16.73/16.99 (define @t165 () (not (tptp.v1_yellow_0 @t155))) % 16.73/16.99 (define @t166 () (not (tptp.v4_orders_2 @t155))) % 16.73/16.99 (define @t167 () (not (tptp.v3_orders_2 @t155))) % 16.73/16.99 (define @t168 () (not (tptp.v2_orders_2 @t155))) % 16.73/16.99 (define @t169 () (tptp.v3_struct_0 @t155)) % 16.73/16.99 (define @t170 () (not @t26)) % 16.73/16.99 (define @t171 () (not @t29)) % 16.73/16.99 (define @t172 () (not @t30)) % 16.73/16.99 (define @t173 () (or @t31 @t172 @t171 @t104 @t103 @t170 @t102 @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t160 @t159 @t156)) % 16.73/16.99 (define @t174 () (@list @t1 @t155)) % 16.73/16.99 (define @t175 () (forall @t174 @t173)) % 16.73/16.99 (define @t176 () (@quantifiers_skolemize @t175 1)) % 16.73/16.99 (define @t177 () (tptp.u1_struct_0 @t176)) % 16.73/16.99 (define @t178 () (@quantifiers_skolemize @t175 0)) % 16.73/16.99 (define @t179 () (tptp.u1_struct_0 @t178)) % 16.73/16.99 (define @t180 () (tptp.k3_xboole_0 @t179 @t177)) % 16.73/16.99 (define @t181 () (or @t169 @t168 @t167 @t166 @t165 @t164 @t163 @t162 @t161 @t160 @t159 @t156)) % 16.73/16.99 (define @t182 () (or @t31 @t172 @t171 @t104 @t103 @t170 @t102 @t181)) % 16.73/16.99 (define @t183 () (forall @t174 @t182)) % 16.73/16.99 (define @t184 () (@list @t155)) % 16.73/16.99 (define @t185 () (forall @t184 @t182)) % 16.73/16.99 (define @t186 () (forall @t184 @t181)) % 16.73/16.99 (define @t187 () (or @t31 @t172 @t171 @t104 @t103 @t170 @t102 @t186)) % 16.73/16.99 (define @t188 () (not @t7)) % 16.73/16.99 (define @t189 () (not @t8)) % 16.73/16.99 (define @t190 () (not @t9)) % 16.73/16.99 (define @t191 () (not @t14)) % 16.73/16.99 (define @t192 () (not @t15)) % 16.73/16.99 (define @t193 () (not @t16)) % 16.73/16.99 (define @t194 () (not @t17)) % 16.73/16.99 (define @t195 () (not @t18)) % 16.73/16.99 (define @t196 () (not @t19)) % 16.73/16.99 (define @t197 () (or @t20 @t196 @t195 @t194 @t193 @t192 @t191 @t10 @t190 @t189 @t188 @t4)) % 16.73/16.99 (define @t198 () (forall @t23 @t197)) % 16.73/16.99 (define @t199 () (or @t31 @t172 @t171 @t104 @t103 @t170 @t102 @t198)) % 16.73/16.99 (define @t200 () (or @t117 @t172 @t171 @t104 @t103 @t170 @t102)) % 16.73/16.99 (define @t201 () (or @t10 @t190 @t189 @t188 @t4)) % 16.73/16.99 (define @t202 () (not @t11)) % 16.73/16.99 (define @t203 () (or @t202 @t190 @t189 @t188)) % 16.73/16.99 (define @t204 () (not @t21)) % 16.73/16.99 (define @t205 () (or @t204 @t196 @t195 @t194 @t193 @t192 @t191)) % 16.73/16.99 (define @t206 () (tptp.m1_subset_1 @t180 (tptp.k1_zfmisc_1 @t177))) % 16.73/16.99 (define @t207 () (tptp.k3_yellow_0 @t176)) % 16.73/16.99 (define @t208 () (tptp.r2_hidden @t207 @t179)) % 16.73/16.99 (define @t209 () (not @t206)) % 16.73/16.99 (define @t210 () (tptp.v12_waybel_0 @t180 @t176)) % 16.73/16.99 (define @t211 () (not @t210)) % 16.73/16.99 (define @t212 () (tptp.v1_xboole_0 @t180)) % 16.73/16.99 (define @t213 () (tptp.l1_orders_2 @t176)) % 16.73/16.99 (define @t214 () (not @t213)) % 16.73/16.99 (define @t215 () (tptp.v1_yellow_0 @t176)) % 16.73/16.99 (define @t216 () (not @t215)) % 16.73/16.99 (define @t217 () (tptp.v4_orders_2 @t176)) % 16.73/16.99 (define @t218 () (not @t217)) % 16.73/16.99 (define @t219 () (tptp.v3_struct_0 @t176)) % 16.73/16.99 (define @t220 () (tptp.l1_orders_2 @t178)) % 16.73/16.99 (define @t221 () (not @t220)) % 16.73/16.99 (define @t222 () (tptp.v3_struct_0 @t178)) % 16.73/16.99 (define @t223 () (or @t222 (not (tptp.v2_orders_2 @t178)) (not (tptp.v3_orders_2 @t178)) (not (tptp.v4_orders_2 @t178)) (not (tptp.v1_yellow_0 @t178)) (not (tptp.v1_lattice3 @t178)) @t221 @t219 (not (tptp.v2_orders_2 @t176)) (not (tptp.v3_orders_2 @t176)) @t218 @t216 (not (tptp.v1_lattice3 @t176)) @t214 @t212 (not (tptp.v1_waybel_0 @t180 @t176)) @t211 @t209 @t208)) % 16.73/16.99 (define @t224 () (@list true)) % 16.73/16.99 (define @t225 () (@list @t223)) % 16.73/16.99 (define @t226 () (forall @t124 (or (not (tptp.m1_subset_1 @t44 @t177)) (not (tptp.r2_hidden @t44 @t180)) (not (tptp.m1_subset_1 @t120 @t177)) (not (tptp.r1_orders_2 @t176 @t120 @t44)) (tptp.r2_hidden @t120 @t180)))) % 16.73/16.99 (define @t227 () (= @t210 @t226)) % 16.73/16.99 (define @t228 () (or @t214 @t209 @t227)) % 16.73/16.99 (define @t229 () (@list false false)) % 16.73/16.99 (define @t230 () (forall @t23 (not (tptp.r2_hidden @t3 @t180)))) % 16.73/16.99 (define @t231 () (@quantifiers_skolemize @t230 0)) % 16.73/16.99 (define @t232 () (@var "BOUND_VARIABLE_7855" $$unsorted)) % 16.73/16.99 (define @t233 () (tptp.u1_struct_0 @t232)) % 16.73/16.99 (define @t234 () (@var "BOUND_VARIABLE_7857" $$unsorted)) % 16.73/16.99 (define @t235 () (tptp.m1_subset_1 @t234 @t233)) % 16.73/16.99 (define @t236 () (not (tptp.r2_hidden @t234 (tptp.k3_xboole_0 @t2 @t233)))) % 16.73/16.99 (define @t237 () (not (tptp.l1_orders_2 @t232))) % 16.73/16.99 (define @t238 () (tptp.v3_struct_0 @t232)) % 16.73/16.99 (define @t239 () (or @t238 @t237 @t236 @t235)) % 16.73/17.00 (define @t240 () (or @t31 @t102 @t239)) % 16.73/17.00 (define @t241 () (forall (@list @t1 @t232 @t234) @t240)) % 16.73/17.00 (define @t242 () (@list @t232 @t234)) % 16.73/17.00 (define @t243 () (forall @t242 @t240)) % 16.73/17.00 (define @t244 () (forall @t242 @t239)) % 16.73/17.00 (define @t245 () (@var "BOUND_VARIABLE_7838" $$unsorted)) % 16.73/17.00 (define @t246 () (or @t31 @t102 @t244)) % 16.73/17.00 (define @t247 () (tptp.m1_subset_1 @t245 @t5)) % 16.73/17.00 (define @t248 () (not (tptp.r2_hidden @t245 @t6))) % 16.73/17.00 (define @t249 () (or @t20 @t191 @t248 @t247)) % 16.73/17.00 (define @t250 () (@list @t3 @t245)) % 16.73/17.00 (define @t251 () (forall @t250 @t249)) % 16.73/17.00 (define @t252 () (or @t31 @t102 @t251)) % 16.73/17.00 (define @t253 () (or @t248 @t247)) % 16.73/17.00 (define @t254 () (or @t20 @t191 @t253)) % 16.73/17.00 (define @t255 () (forall @t250 @t254)) % 16.73/17.00 (define @t256 () (@list @t245)) % 16.73/17.00 (define @t257 () (forall @t256 @t254)) % 16.73/17.00 (define @t258 () (forall @t256 @t253)) % 16.73/17.00 (define @t259 () (or @t20 @t191 @t258)) % 16.73/17.00 (define @t260 () (forall @t54 (or (not @t82) @t81))) % 16.73/17.00 (define @t261 () (or @t20 @t191 @t260)) % 16.73/17.00 (define @t262 () (= (= @t180 tptp.k1_xboole_0) @t230)) % 16.73/17.00 (define @t263 () (= tptp.k1_xboole_0 @t180)) % 16.73/17.00 (define @t264 () (= @t263 @t230)) % 16.73/17.00 (define @t265 () (not @t212)) % 16.73/17.00 (define @t266 () (not @t263)) % 16.73/17.00 (define @t267 () (not @t75)) % 16.73/17.00 (define @t268 () (and @t75 @t263 @t265)) % 16.73/17.00 (define @t269 () (not @t230)) % 16.73/17.00 (define @t270 () (@list true false)) % 16.73/17.00 (define @t271 () (tptp.r2_hidden @t231 @t180)) % 16.73/17.00 (define @t272 () (not @t271)) % 16.73/17.00 (define @t273 () (not @t272)) % 16.73/17.00 (define @t274 () (tptp.m1_subset_1 @t231 @t177)) % 16.73/17.00 (define @t275 () (or @t222 @t221 @t219 @t214 @t272 @t274)) % 16.73/17.00 (define @t276 () (not @t90)) % 16.73/17.00 (define @t277 () (not @t70)) % 16.73/17.00 (define @t278 () (@list @t178)) % 16.73/17.00 (define @t279 () (tptp.l1_struct_0 @t178)) % 16.73/17.00 (define @t280 () (or @t221 @t279)) % 16.73/17.00 (define @t281 () (tptp.v1_xboole_0 @t179)) % 16.73/17.00 (define @t282 () (not @t281)) % 16.73/17.00 (define @t283 () (not @t279)) % 16.73/17.00 (define @t284 () (or @t222 @t283 @t282)) % 16.73/17.00 (define @t285 () (tptp.m1_subset_1 @t207 @t179)) % 16.73/17.00 (define @t286 () (not @t285)) % 16.73/17.00 (define @t287 () (or @t286 @t281 @t208)) % 16.73/17.00 (define @t288 () (not (tptp.r2_hidden @t207 (tptp.k3_xboole_0 @t177 @t179)))) % 16.73/17.00 (define @t289 () (or @t219 @t214 @t222 @t221 @t288 @t285)) % 16.73/17.00 (define @t290 () (tptp.r2_hidden @t207 @t180)) % 16.73/17.00 (define @t291 () (tptp.m1_subset_1 @t207 @t177)) % 16.73/17.00 (define @t292 () (or @t214 @t291)) % 16.73/17.00 (define @t293 () (tptp.r1_orders_2 @t176 @t207 @t231)) % 16.73/17.00 (define @t294 () (not @t293)) % 16.73/17.00 (define @t295 () (not @t291)) % 16.73/17.00 (define @t296 () (not @t274)) % 16.73/17.00 (define @t297 () (or @t296 @t272 @t295 @t294 @t290)) % 16.73/17.00 (define @t298 () (or @t219 @t218 @t216 @t214 @t296 @t293)) % 16.73/17.00 (define @t299 () (not @t298)) % 16.73/17.00 (define @t300 () (forall @t108 @t105)) % 16.73/17.00 (assume @p1 @t37) % 16.73/17.00 (assume @p2 (forall @t40 (=> @t39 @t38))) % 16.73/17.00 (assume @p3 (forall @t40 (= @t41 (tptp.k3_xboole_0 @t3 @t1)))) % 16.73/17.00 (assume @p4 @t63) % 16.73/17.00 (assume @p5 @t65) % 16.73/17.00 (assume @p6 (forall @t66 (= (= @t44 @t41) (forall @t50 (= (tptp.r2_hidden @t42 @t44) (and (tptp.r2_hidden @t42 @t1) @t43)))))) % 16.73/17.00 (assume @p7 true) % 16.73/17.00 (assume @p8 @t69) % 16.73/17.00 (assume @p9 @t71) % 16.73/17.00 (assume @p10 (exists @t35 @t25)) % 16.73/17.00 (assume @p11 (exists @t35 @t70)) % 16.73/17.00 (assume @p12 (forall @t35 (exists @t23 (tptp.m1_subset_1 @t3 @t1)))) % 16.73/17.00 (assume @p13 @t74) % 16.73/17.00 (assume @p14 @t75) % 16.73/17.00 (assume @p15 (forall @t40 (= (tptp.k3_xboole_0 @t1 @t1) @t1))) % 16.73/17.00 (assume @p16 (exists @t35 @t76)) % 16.73/17.00 (assume @p17 (exists @t35 (not @t76))) % 16.73/17.00 (assume @p18 (exists @t35 (and @t70 @t32))) % 16.73/17.00 (assume @p19 (forall @t35 (=> @t73 (exists @t23 (and @t59 @t78))))) % 16.73/17.00 (assume @p20 (forall @t35 (=> (and @t32 @t30 @t29 @t25) (exists @t23 (and @t59 @t78 (tptp.v1_waybel_0 @t3 @t1) @t56))))) % 16.73/17.00 (assume @p21 (forall @t66 (=> @t80 (= (tptp.r3_orders_2 @t1 @t3 @t44) (tptp.r1_orders_2 @t1 @t3 @t44))))) % 16.73/17.00 (assume @p22 (forall @t40 (tptp.r1_tarski @t1 @t1))) % 16.73/17.00 (assume @p23 (forall @t66 (=> @t80 (tptp.r3_orders_2 @t1 @t3 @t3)))) % 16.73/17.00 (assume @p24 @t89) % 16.73/17.00 (assume @p25 (forall @t40 (=> @t39 @t90))) % 16.73/17.00 (assume @p26 (forall @t35 (= (tptp.k3_xboole_0 @t1 tptp.k1_xboole_0) tptp.k1_xboole_0))) % 16.73/17.00 (assume @p27 @t92) % 16.73/17.00 (assume @p28 (forall @t40 (= (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t3)) (tptp.r1_tarski @t1 @t3)))) % 16.73/17.00 (assume @p29 @t97) % 16.73/17.00 (assume @p30 (forall @t66 (=> (and @t39 @t98) (tptp.m1_subset_1 @t1 @t44)))) % 16.73/17.00 (assume @p31 (forall @t66 (not (and @t39 @t98 (tptp.v1_xboole_0 @t44))))) % 16.73/17.00 (assume @p32 (forall @t35 (=> @t76 @t64))) % 16.73/17.00 (assume @p33 (forall @t40 (not (and @t39 @t77)))) % 16.73/17.00 (assume @p34 (forall @t40 (not (and @t76 (not (= @t1 @t3)) @t77)))) % 16.73/17.00 (step @p35 :rule aci_norm :args ((= @t107 @t105))) % 16.73/17.00 (step @p36 :rule cong :premises (@p35) :args (@t109)) % 16.73/17.00 (step @p37 :rule quant-merge-prenex :args ((= (forall @t35 @t111) @t109))) % 16.73/17.00 (step @p38 :rule alpha_equiv :args (@t112 (@list @t99) @t113)) % 16.73/17.00 (step @p39 :rule refl :args (@t102)) % 16.73/17.00 (step @p40 :rule refl :args (@t103)) % 16.73/17.00 (step @p41 :rule refl :args (@t104)) % 16.73/17.00 (step @p42 :rule refl :args (@t31)) % 16.73/17.00 (step @p43 :rule nary_cong :premises (@p42 @p41 @p40 @p39 @p38) :args (@t114)) % 16.73/17.00 (step @p44 :rule quant-miniscope-or :args ((= @t111 @t114))) % 16.73/17.00 (step @p45 :rule trans :premises (@p44 @p43)) % 16.73/17.00 (step @p46 :rule symm :premises (@p45)) % 16.73/17.00 (step @p47 :rule cong :premises (@p46) :args ((forall @t35 @t116))) % 16.73/17.00 (step @p48 :rule trans :premises (@p47 @p37)) % 16.73/17.00 (step @p49 :rule trans :premises (@p48 @p36)) % 16.73/17.00 (step @p50 :rule aci_norm :args ((= (or (or @t31 @t104 @t103 @t102) @t115) @t116))) % 16.73/17.00 (step @p51 :rule refl :args (@t115)) % 16.73/17.00 (step @p52 :rule bool-double-not-elim :args (@t31)) % 16.73/17.00 (step @p53 :rule nary_cong :premises (@p52 @p41 @p40 @p39) :args (@t118)) % 16.73/17.00 (step @p54 :rule aci_norm :args ((= (or @t117 (or @t104 (or @t103 @t102))) @t118))) % 16.73/17.00 (step @p55 :rule trans :premises (@p54 @p53)) % 16.73/17.00 (step @p56 :rule bool-and-de-morgan :args (@t27 @t25 true)) % 16.73/17.00 (step @p57 :rule nary_cong :premises (@p41 @p56) :args ((or @t104 (not (and @t27 @t25))))) % 16.73/17.00 (step @p58 :rule bool-and-de-morgan :args (@t28 @t27 (and @t25))) % 16.73/17.00 (step @p59 :rule trans :premises (@p58 @p57)) % 16.73/17.00 (step @p60 :rule refl :args (@t117)) % 16.73/17.00 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t117 (not (and @t28 @t27 @t25))))) % 16.73/17.00 (step @p62 :rule bool-and-de-morgan :args (@t32 @t28 (and @t27 @t25))) % 16.73/17.00 (step @p63 :rule trans :premises (@p62 @p61)) % 16.73/17.00 (step @p64 :rule trans :premises (@p63 @p55)) % 16.73/17.00 (step @p65 :rule nary_cong :premises (@p64 @p51) :args ((or (not @t95) @t115))) % 16.73/17.00 (step @p66 :rule trans :premises (@p65 @p50)) % 16.73/17.00 (step @p67 :rule bool-impl-elim :args (@t95 @t115)) % 16.73/17.00 (step @p68 :rule trans :premises (@p67 @p66)) % 16.73/17.00 (step @p69 :rule cong :premises (@p68) :args ((forall @t35 (=> @t95 @t115)))) % 16.73/17.00 (step @p70 :rule trans :premises (@p69 @p49)) % 16.73/17.00 (step @p71 :rule bool-impl-elim :args (@t79 @t93)) % 16.73/17.00 (step @p72 :rule cong :premises (@p71) :args (@t94)) % 16.73/17.00 (step @p73 :rule refl :args (@t95)) % 16.73/17.00 (step @p74 :rule cong :premises (@p73 @p72) :args (@t96)) % 16.73/17.00 (step @p75 :rule cong :premises (@p74) :args (@t97)) % 16.73/17.00 (step @p76 :rule trans :premises (@p75 @p70)) % 16.73/17.00 (step @p77 :rule eq_resolve :premises (@p29 @p76)) % 16.73/17.00 (step @p78 :rule aci_norm :args ((= @t128 (or @t102 @t126 @t125)))) % 16.73/17.00 (step @p79 :rule cong :premises (@p78) :args (@t129)) % 16.73/17.00 (step @p80 :rule quant-merge-prenex :args ((= (forall @t35 @t131) @t129))) % 16.73/17.00 (step @p81 :rule alpha_equiv :args (@t132 (@list @t119) @t113)) % 16.73/17.00 (step @p82 :rule nary_cong :premises (@p39 @p81) :args (@t133)) % 16.73/17.00 (step @p83 :rule quant-miniscope-or :args ((= @t131 @t133))) % 16.73/17.00 (step @p84 :rule trans :premises (@p83 @p82)) % 16.73/17.00 (step @p85 :rule symm :premises (@p84)) % 16.73/17.00 (step @p86 :rule cong :premises (@p85) :args ((forall @t35 (or @t102 @t138)))) % 16.73/17.00 (step @p87 :rule trans :premises (@p86 @p80)) % 16.73/17.00 (step @p88 :rule trans :premises (@p87 @p79)) % 16.73/17.00 (step @p89 :rule bool-impl-elim :args (@t25 @t138)) % 16.73/17.00 (step @p90 :rule cong :premises (@p89) :args ((forall @t35 (=> @t25 @t138)))) % 16.73/17.00 (step @p91 :rule trans :premises (@p90 @p88)) % 16.73/17.00 (step @p92 :rule bool-impl-elim :args (@t59 @t137)) % 16.73/17.00 (step @p93 :rule cong :premises (@p92) :args ((forall @t23 (=> @t59 @t137)))) % 16.73/17.00 (step @p94 :rule aci_norm :args ((= @t140 @t136))) % 16.73/17.00 (step @p95 :rule cong :premises (@p94) :args (@t141)) % 16.73/17.00 (step @p96 :rule quant-merge-prenex :args ((= (forall @t54 @t143) @t141))) % 16.73/17.00 (step @p97 :rule alpha_equiv :args (@t144 (@list @t120) (@list @t42))) % 16.73/17.00 (step @p98 :rule refl :args (@t135)) % 16.73/17.00 (step @p99 :rule refl :args (@t123)) % 16.73/17.00 (step @p100 :rule nary_cong :premises (@p99 @p98 @p97) :args (@t145)) % 16.73/17.00 (step @p101 :rule quant-miniscope-or :args ((= @t143 @t145))) % 16.73/17.00 (step @p102 :rule trans :premises (@p101 @p100)) % 16.73/17.00 (step @p103 :rule symm :premises (@p102)) % 16.73/17.00 (step @p104 :rule cong :premises (@p103) :args ((forall @t54 @t150))) % 16.73/17.00 (step @p105 :rule trans :premises (@p104 @p96)) % 16.73/17.00 (step @p106 :rule trans :premises (@p105 @p95)) % 16.73/17.00 (step @p107 :rule aci_norm :args ((= (or @t123 @t151) @t150))) % 16.73/17.00 (step @p108 :rule bool-impl-elim :args (@t52 @t151)) % 16.73/17.00 (step @p109 :rule trans :premises (@p108 @p107)) % 16.73/17.00 (step @p110 :rule cong :premises (@p109) :args ((forall @t54 (=> @t52 @t151)))) % 16.73/17.00 (step @p111 :rule trans :premises (@p110 @p106)) % 16.73/17.00 (step @p112 :rule quant-miniscope-or :args ((= (forall @t50 @t152) @t151))) % 16.73/17.00 (step @p113 :rule aci_norm :args ((= @t153 @t152))) % 16.73/17.00 (step @p114 :rule cong :premises (@p113) :args ((forall @t50 @t153))) % 16.73/17.00 (step @p115 :rule trans :premises (@p114 @p112)) % 16.73/17.00 (step @p116 :rule aci_norm :args ((= (or @t147 @t154) @t153))) % 16.73/17.00 (step @p117 :rule aci_norm :args ((= (or (or @t135 @t146) @t43) @t154))) % 16.73/17.00 (step @p118 :rule refl :args (@t43)) % 16.73/17.00 (step @p119 :rule bool-and-de-morgan :args (@t46 @t45 true)) % 16.73/17.00 (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or (not @t47) @t43))) % 16.73/17.00 (step @p121 :rule trans :premises (@p120 @p117)) % 16.73/17.00 (step @p122 :rule bool-impl-elim :args (@t47 @t43)) % 16.73/17.00 (step @p123 :rule trans :premises (@p122 @p121)) % 16.73/17.00 (step @p124 :rule refl :args (@t147)) % 16.73/17.00 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or @t147 @t48))) % 16.73/17.00 (step @p126 :rule trans :premises (@p125 @p116)) % 16.73/17.00 (step @p127 :rule bool-impl-elim :args (@t49 @t48)) % 16.73/17.00 (step @p128 :rule trans :premises (@p127 @p126)) % 16.73/17.00 (step @p129 :rule cong :premises (@p128) :args (@t51)) % 16.73/17.00 (step @p130 :rule trans :premises (@p129 @p115)) % 16.73/17.00 (step @p131 :rule refl :args (@t52)) % 16.73/17.00 (step @p132 :rule cong :premises (@p131 @p130) :args (@t53)) % 16.73/17.00 (step @p133 :rule cong :premises (@p132) :args (@t55)) % 16.73/17.00 (step @p134 :rule trans :premises (@p133 @p111)) % 16.73/17.00 (step @p135 :rule refl :args (@t56)) % 16.73/17.00 (step @p136 :rule cong :premises (@p135 @p134) :args (@t57)) % 16.73/17.00 (step @p137 :rule refl :args (@t59)) % 16.73/17.00 (step @p138 :rule cong :premises (@p137 @p136) :args (@t60)) % 16.73/17.00 (step @p139 :rule cong :premises (@p138) :args (@t61)) % 16.73/17.00 (step @p140 :rule trans :premises (@p139 @p93)) % 16.73/17.00 (step @p141 :rule refl :args (@t25)) % 16.73/17.00 (step @p142 :rule cong :premises (@p141 @p140) :args (@t62)) % 16.73/17.00 (step @p143 :rule cong :premises (@p142) :args (@t63)) % 16.73/17.00 (step @p144 :rule trans :premises (@p143 @p91)) % 16.73/17.00 (step @p145 :rule eq_resolve :premises (@p4 @p144)) % 16.73/17.00 (step @p146 :rule instantiate :premises (@p145) :args ((@list @t176 @t180))) % 16.73/17.00 (step @p147 :rule aci_norm :args ((= @t182 @t173))) % 16.73/17.00 (step @p148 :rule cong :premises (@p147) :args (@t183)) % 16.73/17.00 (step @p149 :rule quant-merge-prenex :args ((= (forall @t35 @t185) @t183))) % 16.73/17.00 (step @p150 :rule alpha_equiv :args (@t186 (@list @t155) @t113)) % 16.73/17.00 (step @p151 :rule refl :args (@t170)) % 16.73/17.00 (step @p152 :rule refl :args (@t171)) % 16.73/17.00 (step @p153 :rule refl :args (@t172)) % 16.73/17.00 (step @p154 :rule nary_cong :premises (@p42 @p153 @p152 @p41 @p40 @p151 @p39 @p150) :args (@t187)) % 16.73/17.00 (step @p155 :rule quant-miniscope-or :args ((= @t185 @t187))) % 16.73/17.00 (step @p156 :rule trans :premises (@p155 @p154)) % 16.73/17.00 (step @p157 :rule symm :premises (@p156)) % 16.73/17.00 (step @p158 :rule cong :premises (@p157) :args ((forall @t35 @t199))) % 16.73/17.00 (step @p159 :rule trans :premises (@p158 @p149)) % 16.73/17.00 (step @p160 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(step-pop @p497 :rule scope :premises (@p371)) % 16.73/17.00 (step-pop @p498 :rule scope :premises (@p497)) % 16.73/17.00 (step-pop @p499 :rule scope :premises (@p498)) % 16.73/17.00 (step @p372 :rule process_scope :premises (@p499) :args (@t268)) % 16.73/17.00 (step @p376 :rule implies_elim :premises (@p372)) % 16.73/17.00 (step @p377 :rule resolution :premises (@p376 @p364) :args (true @t268)) % 16.73/17.00 (step @p378 :rule not_and :premises (@p377)) % 16.73/17.00 (step @p379 :rule eq_resolve :premises (@p378 @p352)) % 16.73/17.00 (step @p380 :rule chain_m_resolution :premises (@p379 @p14 @p348) :args (@t266 (@list false true) (@list @t75 @t212))) % 16.73/17.00 (step @p381 :rule cnf_equiv_pos2 :args (@t264)) % 16.73/17.00 (step @p382 :rule reordering :premises (@p381) :args ((or @t263 @t269 (not @t264)))) % 16.73/17.00 (step @p383 :rule chain_m_resolution :premises (@p382 @p380 @p346) :args (@t269 @t270 (@list @t263 @t264))) % 16.73/17.00 (step @p384 :rule refl :args (@t271)) % 16.73/17.00 (step @p385 :rule bool-double-not-elim :args (@t230)) % 16.73/17.00 (step @p386 :rule nary_cong :premises (@p385 @p384) :args ((or (not @t269) @t271))) % 16.73/17.00 (step @p387 :rule bool-double-not-elim :args (@t271)) % 16.73/17.00 (step @p388 :rule refl :args (@t269)) % 16.73/17.00 (step @p389 :rule cong :premises (@p388 @p387) :args ((=> @t269 @t273))) % 16.73/17.00 (assume-push @p500 @t269) % 16.73/17.00 (step @p391 :rule skolemize :premises (@p500)) % 16.73/17.00 (step-pop @p501 :rule scope :premises (@p391)) % 16.73/17.00 (step @p392 :rule process_scope :premises (@p501) :args (@t273)) % 16.73/17.00 (step @p394 :rule eq_resolve :premises (@p392 @p389)) % 16.73/17.00 (step @p395 :rule implies_elim :premises (@p394)) % 16.73/17.00 (step @p396 :rule eq_resolve :premises (@p395 @p386)) % 16.73/17.00 (step @p397 :rule chain_m_resolution :premises (@p396 @p383) :args (@t271 @t224 (@list @t230))) % 16.73/17.00 (step @p398 :rule cnf_or_neg :args (@t223 7)) % 16.73/17.00 (step @p399 :rule chain_m_resolution :premises (@p398 @p251) :args ((not @t219) @t224 @t225)) % 16.73/17.00 (step @p400 :rule bool-double-not-elim :args (@t220)) % 16.73/17.00 (step @p401 :rule nary_cong :premises (@p253 @p400) :args ((or @t223 (not @t221)))) % 16.73/17.00 (step @p402 :rule cnf_or_neg :args (@t223 6)) % 16.73/17.00 (step @p403 :rule eq_resolve :premises (@p402 @p401)) % 16.73/17.00 (step @p404 :rule reordering :premises (@p403) :args ((or @t220 @t223))) % 16.73/17.00 (step @p405 :rule chain_m_resolution :premises (@p404 @p251) :args (@t220 @t224 @t225)) % 16.73/17.00 (step @p406 :rule cnf_or_neg :args (@t223 0)) % 16.73/17.00 (step @p407 :rule chain_m_resolution :premises (@p406 @p251) :args ((not @t222) @t224 @t225)) % 16.73/17.00 (step @p408 :rule cnf_or_pos :args (@t275)) % 16.73/17.00 (step @p409 :rule reordering :premises (@p408) :args ((or @t222 @t221 @t219 @t214 @t272 @t274 (not @t275)))) % 16.73/17.00 (step @p410 :rule chain_m_resolution :premises (@p409 @p407 @p405 @p399 @p264 @p397 @p334) :args (@t274 (@list true false true false false false) (@list @t222 @t220 @t219 @t213 @t271 @t275))) % 16.73/17.00 (step @p411 :rule instantiate :premises (@p333) :args ((@list @t176 @t178 @t207))) % 16.73/17.00 (step @p412 :rule aci_norm :args ((= (or @t276 @t91) (or @t276 @t77 @t39)))) % 16.73/17.00 (step @p413 :rule bool-impl-elim :args (@t90 @t91)) % 16.73/17.00 (step @p414 :rule trans :premises (@p413 @p412)) % 16.73/17.00 (step @p415 :rule cong :premises (@p414) :args (@t92)) % 16.73/17.00 (step @p416 :rule eq_resolve :premises (@p27 @p415)) % 16.73/17.00 (step @p417 :rule instantiate :premises (@p416) :args ((@list @t207 @t179))) % 16.73/17.00 (step @p418 :rule aci_norm :args ((= (or (or @t31 @t277) @t72) (or @t31 @t277 @t72)))) % 16.73/17.00 (step @p419 :rule refl :args (@t72)) % 16.73/17.00 (step @p420 :rule refl :args (@t277)) % 16.73/17.00 (step @p421 :rule nary_cong :premises (@p52 @p420) :args ((or @t117 @t277))) % 16.73/17.00 (step @p422 :rule bool-and-de-morgan :args (@t32 @t70 true)) % 16.73/17.00 (step @p423 :rule trans :premises (@p422 @p421)) % 16.73/17.00 (step @p424 :rule nary_cong :premises (@p423 @p419) :args ((or (not @t73) @t72))) % 16.73/17.00 (step @p425 :rule trans :premises (@p424 @p418)) % 16.73/17.00 (step @p426 :rule bool-impl-elim :args (@t73 @t72)) % 16.73/17.00 (step @p427 :rule trans :premises (@p426 @p425)) % 16.73/17.00 (step @p428 :rule cong :premises (@p427) :args (@t74)) % 16.73/17.00 (step @p429 :rule eq_resolve :premises (@p13 @p428)) % 16.73/17.00 (step @p430 :rule instantiate :premises (@p429) :args (@t278)) % 16.73/17.00 (step @p431 :rule bool-impl-elim :args (@t25 @t70)) % 16.73/17.00 (step @p432 :rule cong :premises (@p431) :args (@t71)) % 16.73/17.00 (step @p433 :rule eq_resolve :premises (@p9 @p432)) % 16.73/17.00 (step @p434 :rule instantiate :premises (@p433) :args (@t278)) % 16.73/17.00 (step @p435 :rule cnf_or_pos :args (@t280)) % 16.73/17.00 (step @p436 :rule reordering :premises (@p435) :args ((or @t221 @t279 (not @t280)))) % 16.73/17.00 (step @p437 :rule chain_m_resolution :premises (@p436 @p405 @p434) :args (@t279 @t229 (@list @t220 @t280))) % 16.73/17.00 (step @p438 :rule cnf_or_pos :args (@t284)) % 16.73/17.00 (step @p439 :rule reordering :premises (@p438) :args ((or @t222 @t282 @t283 (not @t284)))) % 16.73/17.00 (step @p440 :rule chain_m_resolution :premises (@p439 @p407 @p437 @p430) :args (@t282 (@list true false false) (@list @t222 @t279 @t284))) % 16.73/17.00 (step @p441 :rule cnf_or_neg :args (@t223 18)) % 16.73/17.00 (step @p442 :rule chain_m_resolution :premises (@p441 @p251) :args ((not @t208) @t224 @t225)) % 16.73/17.00 (step @p443 :rule cnf_or_pos :args (@t287)) % 16.73/17.00 (step @p444 :rule reordering :premises (@p443) :args ((or @t208 @t281 @t286 (not @t287)))) % 16.73/17.00 (step @p445 :rule chain_m_resolution :premises (@p444 @p442 @p440 @p417) :args (@t286 (@list true true false) (@list @t208 @t281 @t287))) % 16.73/17.00 (step @p446 :rule cnf_or_pos :args (@t289)) % 16.73/17.00 (step @p447 :rule reordering :premises (@p446) :args ((or @t222 @t221 @t219 @t214 @t285 @t288 (not @t289)))) % 16.73/17.00 (step @p448 :rule chain_m_resolution :premises (@p447 @p407 @p405 @p399 @p264 @p445 @p411) :args (@t288 (@list true false true false true false) (@list @t222 @t220 @t219 @t213 @t285 @t289))) % 16.73/17.00 (step @p449 :rule false_intro :premises (@p448)) % 16.73/17.00 (step @p450 :rule instantiate :premises (@p3) :args ((@list @t179 @t177))) % 16.73/17.00 (step @p451 :rule refl :args (@t207)) % 16.73/17.00 (step @p452 :rule cong :premises (@p451 @p450) :args (@t290)) % 16.73/17.00 (step @p453 :rule trans :premises (@p452 @p449)) % 16.73/17.00 (step @p454 :rule false_elim :premises (@p453)) % 16.73/17.00 (step @p455 :rule bool-impl-elim :args (@t25 @t68)) % 16.73/17.00 (step @p456 :rule cong :premises (@p455) :args (@t69)) % 16.73/17.00 (step @p457 :rule eq_resolve :premises (@p8 @p456)) % 16.73/17.00 (step @p458 :rule instantiate :premises (@p457) :args ((@list @t176))) % 16.73/17.00 (step @p459 :rule cnf_or_pos :args (@t292)) % 16.73/17.00 (step @p460 :rule reordering :premises (@p459) :args ((or @t214 @t291 (not @t292)))) % 16.73/17.00 (step @p461 :rule chain_m_resolution :premises (@p460 @p264 @p458) :args (@t291 @t229 (@list @t213 @t292))) % 16.73/17.00 (step @p462 :rule cnf_or_pos :args (@t297)) % 16.73/17.00 (step @p463 :rule reordering :premises (@p462) :args ((or @t295 @t272 @t290 @t296 @t294 (not @t297)))) % 16.73/17.00 (step @p464 :rule chain_m_resolution :premises (@p463 @p461 @p397 @p454 @p410 @p277) :args (@t294 (@list false false true false false) (@list @t291 @t271 @t290 @t274 @t297))) % 16.73/17.00 (step @p465 :rule bool-double-not-elim :args (@t215)) % 16.73/17.00 (step @p466 :rule nary_cong :premises (@p253 @p465) :args ((or @t223 (not @t216)))) % 16.73/17.00 (step @p467 :rule cnf_or_neg :args (@t223 11)) % 16.73/17.00 (step @p468 :rule eq_resolve :premises (@p467 @p466)) % 16.73/17.00 (step @p469 :rule reordering :premises (@p468) :args ((or @t215 @t223))) % 16.73/17.00 (step @p470 :rule chain_m_resolution :premises (@p469 @p251) :args (@t215 @t224 @t225)) % 16.73/17.00 (step @p471 :rule bool-double-not-elim :args (@t217)) % 16.73/17.00 (step @p472 :rule nary_cong :premises (@p253 @p471) :args ((or @t223 (not @t218)))) % 16.73/17.00 (step @p473 :rule cnf_or_neg :args (@t223 10)) % 16.73/17.00 (step @p474 :rule eq_resolve :premises (@p473 @p472)) % 16.73/17.00 (step @p475 :rule reordering :premises (@p474) :args ((or @t217 @t223))) % 16.73/17.00 (step @p476 :rule chain_m_resolution :premises (@p475 @p251) :args (@t217 @t224 @t225)) % 16.73/17.00 (step @p477 :rule cnf_or_pos :args (@t298)) % 16.73/17.00 (step @p478 :rule reordering :premises (@p477) :args ((or @t219 @t218 @t216 @t214 @t296 @t293 @t299))) % 16.73/17.00 (step @p479 :rule chain_m_resolution :premises (@p478 @p399 @p476 @p470 @p264 @p410 @p464) :args (@t299 (@list true false false false false true) (@list @t219 @t217 @t215 @t213 @t274 @t293))) % 16.73/17.00 (assume-push @p502 @t300) % 16.73/17.00 (step @p481 :rule instantiate :premises (@p77) :args ((@list @t176 @t231))) % 16.73/17.00 (step-pop @p503 :rule scope :premises (@p481)) % 16.73/17.00 (step @p482 :rule process_scope :premises (@p503) :args (@t298)) % 16.73/17.00 (step @p484 :rule implies_elim :premises (@p482)) % 16.73/17.00 (step @p485 false :rule chain_m_resolution :premises (@p484 @p479 @p77) :args (false @t270 (@list @t298 @t300))) % 16.73/17.00 ) % 16.73/17.00 % SZS output end Proof % 16.73/17.00 % cvc5 exiting %------------------------------------------------------------------------------