%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU343+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:51:27 AM UTC 2026 % Result : Theorem 0.94s 1.13s % Output : Proof 0.94s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU343+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n019.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 16:59:34 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.94/1.13 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.94/1.13 % SZS status Theorem % 0.94/1.13 % SZS output start Proof % 0.94/1.13 ( % 0.94/1.13 (declare-sort $$unsorted 0) % 0.94/1.13 (declare-const tptp.empty_set $$unsorted) % 0.94/1.13 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.94/1.13 (declare-const tptp.latt_str_of (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.13 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.13 (declare-const tptp.boole_lattice (-> $$unsorted $$unsorted)) % 0.94/1.13 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 0.94/1.13 (declare-const tptp.apply_binary_as_element (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.13 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.94/1.13 (declare-const tptp.join_semilatt_str (-> $$unsorted Bool)) % 0.94/1.13 (declare-const tptp.latt_str (-> $$unsorted Bool)) % 0.94/1.13 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.94/1.13 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.94/1.13 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.94/1.13 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.94/1.13 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.94/1.13 (declare-const tptp.strict_latt_str (-> $$unsorted Bool)) % 0.94/1.13 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.13 (declare-const tptp.apply_binary (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.13 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.94/1.13 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.13 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.94/1.13 (declare-const tptp.subset_intersection2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.13 (declare-const tptp.the_L_join (-> $$unsorted $$unsorted)) % 0.94/1.13 (declare-const tptp.the_L_meet (-> $$unsorted $$unsorted)) % 0.94/1.13 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.94/1.13 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.13 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.94/1.13 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.13 (declare-const tptp.subset_union2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.13 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.13 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.94/1.13 (declare-const tptp.function (-> $$unsorted Bool)) % 0.94/1.13 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.94/1.13 (declare-const tptp.meet_semilatt_str (-> $$unsorted Bool)) % 0.94/1.13 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.94/1.13 (define @t1 () (@var "A" $$unsorted)) % 0.94/1.13 (define @t2 () (tptp.the_L_meet @t1)) % 0.94/1.13 (define @t3 () (tptp.the_L_join @t1)) % 0.94/1.13 (define @t4 () (tptp.the_carrier @t1)) % 0.94/1.13 (define @t5 () (tptp.strict_latt_str @t1)) % 0.94/1.13 (define @t6 () (tptp.latt_str @t1)) % 0.94/1.13 (define @t7 () (@list @t1)) % 0.94/1.13 (define @t8 () (@var "B" $$unsorted)) % 0.94/1.13 (define @t9 () (tptp.in @t1 @t8)) % 0.94/1.13 (define @t10 () (@list @t1 @t8)) % 0.94/1.13 (define @t11 () (@var "C" $$unsorted)) % 0.94/1.13 (define @t12 () (tptp.cartesian_product2 @t1 @t8)) % 0.94/1.13 (define @t13 () (tptp.element @t11 (tptp.powerset @t12))) % 0.94/1.13 (define @t14 () (@list @t1 @t8 @t11)) % 0.94/1.13 (define @t15 () (tptp.unordered_pair @t1 @t8)) % 0.94/1.13 (define @t16 () (tptp.set_union2 @t8 @t1)) % 0.94/1.13 (define @t17 () (tptp.set_union2 @t1 @t8)) % 0.94/1.13 (define @t18 () (tptp.subset_union2 @t1 @t8 @t11)) % 0.94/1.13 (define @t19 () (tptp.powerset @t1)) % 0.94/1.13 (define @t20 () (tptp.element @t11 @t19)) % 0.94/1.13 (define @t21 () (tptp.element @t8 @t19)) % 0.94/1.13 (define @t22 () (and @t21 @t20)) % 0.94/1.13 (define @t23 () (tptp.subset_intersection2 @t1 @t8 @t11)) % 0.94/1.13 (define @t24 () (@var "D" $$unsorted)) % 0.94/1.13 (define @t25 () (tptp.the_L_meet @t8)) % 0.94/1.13 (define @t26 () (tptp.the_L_join @t8)) % 0.94/1.13 (define @t27 () (and (= (tptp.apply_binary @t26 @t11 @t24) (tptp.subset_union2 @t1 @t11 @t24)) (= (tptp.apply_binary @t25 @t11 @t24) (tptp.subset_intersection2 @t1 @t11 @t24)))) % 0.94/1.13 (define @t28 () (tptp.element @t24 @t19)) % 0.94/1.13 (define @t29 () (@list @t24)) % 0.94/1.13 (define @t30 () (forall @t29 (=> @t28 @t27))) % 0.94/1.13 (define @t31 () (=> @t20 @t30)) % 0.94/1.13 (define @t32 () (@list @t11)) % 0.94/1.13 (define @t33 () (forall @t32 @t31)) % 0.94/1.13 (define @t34 () (tptp.the_carrier @t8)) % 0.94/1.13 (define @t35 () (and (= @t34 @t19) @t33)) % 0.94/1.13 (define @t36 () (tptp.boole_lattice @t1)) % 0.94/1.13 (define @t37 () (= @t8 @t36)) % 0.94/1.13 (define @t38 () (= @t37 @t35)) % 0.94/1.13 (define @t39 () (tptp.latt_str @t8)) % 0.94/1.13 (define @t40 () (tptp.strict_latt_str @t8)) % 0.94/1.13 (define @t41 () (and @t40 @t39)) % 0.94/1.13 (define @t42 () (=> @t41 @t38)) % 0.94/1.13 (define @t43 () (forall @t10 @t42)) % 0.94/1.13 (define @t44 () (tptp.join @t1 @t8 @t11)) % 0.94/1.13 (define @t45 () (= @t44 (tptp.apply_binary_as_element @t4 @t4 @t4 @t3 @t8 @t11))) % 0.94/1.13 (define @t46 () (tptp.element @t11 @t4)) % 0.94/1.13 (define @t47 () (forall @t32 (=> @t46 @t45))) % 0.94/1.13 (define @t48 () (tptp.element @t8 @t4)) % 0.94/1.13 (define @t49 () (=> @t48 @t47)) % 0.94/1.13 (define @t50 () (@list @t8)) % 0.94/1.13 (define @t51 () (forall @t50 @t49)) % 0.94/1.13 (define @t52 () (tptp.join_semilatt_str @t1)) % 0.94/1.13 (define @t53 () (tptp.empty_carrier @t1)) % 0.94/1.13 (define @t54 () (not @t53)) % 0.94/1.13 (define @t55 () (and @t54 @t52)) % 0.94/1.13 (define @t56 () (=> @t55 @t51)) % 0.94/1.13 (define @t57 () (forall @t7 @t56)) % 0.94/1.13 (define @t58 () (tptp.meet @t1 @t8 @t11)) % 0.94/1.13 (define @t59 () (= @t58 (tptp.apply_binary_as_element @t4 @t4 @t4 @t2 @t8 @t11))) % 0.94/1.13 (define @t60 () (forall @t32 (=> @t46 @t59))) % 0.94/1.13 (define @t61 () (=> @t48 @t60)) % 0.94/1.13 (define @t62 () (forall @t50 @t61)) % 0.94/1.13 (define @t63 () (tptp.meet_semilatt_str @t1)) % 0.94/1.13 (define @t64 () (and @t54 @t63)) % 0.94/1.13 (define @t65 () (=> @t64 @t62)) % 0.94/1.13 (define @t66 () (forall @t7 @t65)) % 0.94/1.13 (define @t67 () (tptp.singleton @t1)) % 0.94/1.13 (define @t68 () (tptp.latt_str_of @t1 @t8 @t11)) % 0.94/1.13 (define @t69 () (tptp.strict_latt_str @t68)) % 0.94/1.13 (define @t70 () (tptp.cartesian_product2 @t1 @t1)) % 0.94/1.13 (define @t71 () (tptp.relation_of2 @t11 @t70 @t1)) % 0.94/1.13 (define @t72 () (tptp.quasi_total @t11 @t70 @t1)) % 0.94/1.13 (define @t73 () (tptp.function @t11)) % 0.94/1.13 (define @t74 () (tptp.relation_of2 @t8 @t70 @t1)) % 0.94/1.13 (define @t75 () (tptp.quasi_total @t8 @t70 @t1)) % 0.94/1.13 (define @t76 () (tptp.function @t8)) % 0.94/1.13 (define @t77 () (and @t76 @t75 @t74 @t73 @t72 @t71)) % 0.94/1.13 (define @t78 () (tptp.latt_str @t36)) % 0.94/1.13 (define @t79 () (tptp.strict_latt_str @t36)) % 0.94/1.13 (define @t80 () (forall @t7 (and @t79 @t78))) % 0.94/1.13 (define @t81 () (@var "F" $$unsorted)) % 0.94/1.13 (define @t82 () (@var "E" $$unsorted)) % 0.94/1.13 (define @t83 () (tptp.apply_binary_as_element @t1 @t8 @t11 @t24 @t82 @t81)) % 0.94/1.13 (define @t84 () (tptp.element @t81 @t8)) % 0.94/1.13 (define @t85 () (tptp.element @t82 @t1)) % 0.94/1.13 (define @t86 () (tptp.relation_of2 @t24 @t12 @t11)) % 0.94/1.13 (define @t87 () (tptp.quasi_total @t24 @t12 @t11)) % 0.94/1.13 (define @t88 () (tptp.function @t24)) % 0.94/1.13 (define @t89 () (tptp.empty @t8)) % 0.94/1.13 (define @t90 () (not @t89)) % 0.94/1.13 (define @t91 () (tptp.empty @t1)) % 0.94/1.13 (define @t92 () (not @t91)) % 0.94/1.13 (define @t93 () (and @t92 @t90 @t88 @t87 @t86 @t85 @t84)) % 0.94/1.13 (define @t94 () (@list @t1 @t8 @t11 @t24 @t82 @t81)) % 0.94/1.13 (define @t95 () (tptp.one_sorted_str @t1)) % 0.94/1.13 (define @t96 () (forall @t7 (=> @t63 @t95))) % 0.94/1.13 (define @t97 () (and @t63 @t52)) % 0.94/1.13 (define @t98 () (forall @t7 (=> @t6 @t97))) % 0.94/1.13 (define @t99 () (tptp.relation_of2_as_subset @t11 @t1 @t8)) % 0.94/1.13 (define @t100 () (tptp.cartesian_product2 @t4 @t4)) % 0.94/1.13 (define @t101 () (and (tptp.function @t2) (tptp.quasi_total @t2 @t100 @t4) (tptp.relation_of2_as_subset @t2 @t100 @t4))) % 0.94/1.13 (define @t102 () (forall @t7 (=> @t63 @t101))) % 0.94/1.13 (define @t103 () (and (tptp.function @t3) (tptp.quasi_total @t3 @t100 @t4) (tptp.relation_of2_as_subset @t3 @t100 @t4))) % 0.94/1.13 (define @t104 () (forall @t7 (=> @t52 @t103))) % 0.94/1.13 (define @t105 () (tptp.relation_of2 @t11 @t1 @t8)) % 0.94/1.13 (define @t106 () (not (tptp.empty_carrier @t36))) % 0.94/1.13 (define @t107 () (forall @t7 (and @t106 @t79))) % 0.94/1.13 (define @t108 () (not (tptp.empty @t4))) % 0.94/1.13 (define @t109 () (and @t54 @t95)) % 0.94/1.13 (define @t110 () (forall @t7 (=> @t109 @t108))) % 0.94/1.13 (define @t111 () (= @t83 (tptp.apply_binary @t24 @t82 @t81))) % 0.94/1.13 (define @t112 () (forall @t94 (=> @t93 @t111))) % 0.94/1.13 (define @t113 () (tptp.set_union2 @t8 @t11)) % 0.94/1.13 (define @t114 () (= @t18 @t113)) % 0.94/1.13 (define @t115 () (forall @t14 (=> @t22 @t114))) % 0.94/1.13 (define @t116 () (tptp.set_intersection2 @t8 @t11)) % 0.94/1.13 (define @t117 () (= @t23 @t116)) % 0.94/1.13 (define @t118 () (forall @t14 (=> @t22 @t117))) % 0.94/1.13 (define @t119 () (tptp.meet @t36 @t8 @t11)) % 0.94/1.13 (define @t120 () (tptp.join @t36 @t8 @t11)) % 0.94/1.13 (define @t121 () (and (= @t120 @t113) (= @t119 @t116))) % 0.94/1.13 (define @t122 () (tptp.the_carrier @t36)) % 0.94/1.13 (define @t123 () (tptp.element @t11 @t122)) % 0.94/1.13 (define @t124 () (=> @t123 @t121)) % 0.94/1.13 (define @t125 () (forall @t32 @t124)) % 0.94/1.13 (define @t126 () (tptp.element @t8 @t122)) % 0.94/1.13 (define @t127 () (=> @t126 @t125)) % 0.94/1.13 (define @t128 () (forall @t10 @t127)) % 0.94/1.13 (define @t129 () (not @t128)) % 0.94/1.13 (define @t130 () (tptp.element @t1 @t8)) % 0.94/1.13 (define @t131 () (tptp.element @t8 (tptp.powerset @t11))) % 0.94/1.13 (define @t132 () (@var "BOUND_VARIABLE_8245" $$unsorted)) % 0.94/1.13 (define @t133 () (and (= (tptp.set_union2 @t8 @t132) (tptp.join @t36 @t8 @t132)) (= (tptp.set_intersection2 @t8 @t132) (tptp.meet @t36 @t8 @t132)))) % 0.94/1.13 (define @t134 () (not (tptp.element @t132 @t122))) % 0.94/1.13 (define @t135 () (not @t126)) % 0.94/1.13 (define @t136 () (or @t135 @t134 @t133)) % 0.94/1.13 (define @t137 () (or @t134 @t133)) % 0.94/1.13 (define @t138 () (or @t135 @t137)) % 0.94/1.13 (define @t139 () (@list @t1 @t8 @t132)) % 0.94/1.13 (define @t140 () (forall @t139 @t138)) % 0.94/1.13 (define @t141 () (@list @t132)) % 0.94/1.13 (define @t142 () (forall @t141 @t138)) % 0.94/1.13 (define @t143 () (forall @t141 @t137)) % 0.94/1.13 (define @t144 () (@list @t11)) % 0.94/1.13 (define @t145 () (or @t135 @t143)) % 0.94/1.13 (define @t146 () (and (= @t113 @t120) (= @t116 @t119))) % 0.94/1.13 (define @t147 () (forall @t32 (or (not @t123) @t146))) % 0.94/1.13 (define @t148 () (forall @t139 @t136)) % 0.94/1.13 (define @t149 () (@quantifiers_skolemize @t148 2)) % 0.94/1.13 (define @t150 () (@quantifiers_skolemize @t148 1)) % 0.94/1.13 (define @t151 () (@quantifiers_skolemize @t148 0)) % 0.94/1.13 (define @t152 () (tptp.boole_lattice @t151)) % 0.94/1.13 (define @t153 () (tptp.meet @t152 @t150 @t149)) % 0.94/1.13 (define @t154 () (tptp.set_intersection2 @t150 @t149)) % 0.94/1.13 (define @t155 () (= @t154 @t153)) % 0.94/1.13 (define @t156 () (tptp.join @t152 @t150 @t149)) % 0.94/1.13 (define @t157 () (tptp.set_union2 @t150 @t149)) % 0.94/1.13 (define @t158 () (= @t157 @t156)) % 0.94/1.13 (define @t159 () (and @t158 @t155)) % 0.94/1.13 (define @t160 () (tptp.the_carrier @t152)) % 0.94/1.13 (define @t161 () (tptp.element @t149 @t160)) % 0.94/1.13 (define @t162 () (not @t161)) % 0.94/1.13 (define @t163 () (tptp.element @t150 @t160)) % 0.94/1.13 (define @t164 () (not @t163)) % 0.94/1.13 (define @t165 () (or @t164 @t162 @t159)) % 0.94/1.13 (define @t166 () (@list true)) % 0.94/1.13 (define @t167 () (@list @t165)) % 0.94/1.13 (define @t168 () (@var "BOUND_VARIABLE_7917" $$unsorted)) % 0.94/1.13 (define @t169 () (@var "BOUND_VARIABLE_7915" $$unsorted)) % 0.94/1.13 (define @t170 () (= (tptp.join @t1 @t169 @t168) (tptp.apply_binary_as_element @t4 @t4 @t4 @t3 @t169 @t168))) % 0.94/1.13 (define @t171 () (not (tptp.element @t168 @t4))) % 0.94/1.13 (define @t172 () (not (tptp.element @t169 @t4))) % 0.94/1.13 (define @t173 () (not @t52)) % 0.94/1.13 (define @t174 () (or @t172 @t171 @t170)) % 0.94/1.13 (define @t175 () (or @t53 @t173 @t174)) % 0.94/1.13 (define @t176 () (forall (@list @t1 @t169 @t168) @t175)) % 0.94/1.13 (define @t177 () (@list @t169 @t168)) % 0.94/1.13 (define @t178 () (forall @t177 @t175)) % 0.94/1.13 (define @t179 () (forall @t177 @t174)) % 0.94/1.13 (define @t180 () (@var "BOUND_VARIABLE_7895" $$unsorted)) % 0.94/1.13 (define @t181 () (or @t53 @t173 @t179)) % 0.94/1.13 (define @t182 () (= (tptp.join @t1 @t8 @t180) (tptp.apply_binary_as_element @t4 @t4 @t4 @t3 @t8 @t180))) % 0.94/1.13 (define @t183 () (not (tptp.element @t180 @t4))) % 0.94/1.13 (define @t184 () (not @t48)) % 0.94/1.13 (define @t185 () (or @t184 @t183 @t182)) % 0.94/1.13 (define @t186 () (@list @t8 @t180)) % 0.94/1.13 (define @t187 () (forall @t186 @t185)) % 0.94/1.13 (define @t188 () (or @t53 @t173 @t187)) % 0.94/1.13 (define @t189 () (not @t54)) % 0.94/1.13 (define @t190 () (or @t183 @t182)) % 0.94/1.13 (define @t191 () (or @t184 @t190)) % 0.94/1.13 (define @t192 () (forall @t186 @t191)) % 0.94/1.13 (define @t193 () (@list @t180)) % 0.94/1.13 (define @t194 () (forall @t193 @t191)) % 0.94/1.13 (define @t195 () (forall @t193 @t190)) % 0.94/1.13 (define @t196 () (or @t184 @t195)) % 0.94/1.13 (define @t197 () (not @t46)) % 0.94/1.13 (define @t198 () (forall @t32 (or @t197 @t45))) % 0.94/1.13 (define @t199 () (@list @t152 @t150 @t149)) % 0.94/1.13 (define @t200 () (@list @t152)) % 0.94/1.13 (define @t201 () (forall @t7 @t78)) % 0.94/1.13 (define @t202 () (@list @t1)) % 0.94/1.13 (define @t203 () (forall @t7 @t79)) % 0.94/1.13 (define @t204 () (and @t203 @t201)) % 0.94/1.13 (define @t205 () (@list @t151)) % 0.94/1.13 (define @t206 () (tptp.join_semilatt_str @t152)) % 0.94/1.13 (define @t207 () (tptp.meet_semilatt_str @t152)) % 0.94/1.13 (define @t208 () (and @t207 @t206)) % 0.94/1.13 (define @t209 () (tptp.latt_str @t152)) % 0.94/1.13 (define @t210 () (not @t209)) % 0.94/1.13 (define @t211 () (or @t210 @t208)) % 0.94/1.13 (define @t212 () (@list false false)) % 0.94/1.13 (define @t213 () (not @t208)) % 0.94/1.13 (define @t214 () (@list false)) % 0.94/1.13 (define @t215 () (@list @t208)) % 0.94/1.13 (define @t216 () (forall @t7 @t106)) % 0.94/1.13 (define @t217 () (and @t216 @t203)) % 0.94/1.13 (define @t218 () (tptp.the_L_join @t152)) % 0.94/1.13 (define @t219 () (tptp.apply_binary_as_element @t160 @t160 @t160 @t218 @t150 @t149)) % 0.94/1.13 (define @t220 () (= @t156 @t219)) % 0.94/1.13 (define @t221 () (not @t206)) % 0.94/1.13 (define @t222 () (tptp.empty_carrier @t152)) % 0.94/1.13 (define @t223 () (or @t222 @t221 @t164 @t162 @t220)) % 0.94/1.13 (define @t224 () (@list false false true false false)) % 0.94/1.13 (define @t225 () (not @t84)) % 0.94/1.13 (define @t226 () (not @t85)) % 0.94/1.13 (define @t227 () (not @t86)) % 0.94/1.13 (define @t228 () (not @t87)) % 0.94/1.13 (define @t229 () (not @t88)) % 0.94/1.13 (define @t230 () (not @t90)) % 0.94/1.13 (define @t231 () (not @t92)) % 0.94/1.13 (define @t232 () (or @t231 @t230 @t229 @t228 @t227 @t226 @t225)) % 0.94/1.13 (define @t233 () (tptp.cartesian_product2 @t160 @t160)) % 0.94/1.13 (define @t234 () (tptp.relation_of2_as_subset @t218 @t233 @t160)) % 0.94/1.13 (define @t235 () (tptp.quasi_total @t218 @t233 @t160)) % 0.94/1.13 (define @t236 () (tptp.function @t218)) % 0.94/1.13 (define @t237 () (and @t236 @t235 @t234)) % 0.94/1.13 (define @t238 () (or @t221 @t237)) % 0.94/1.13 (define @t239 () (not @t237)) % 0.94/1.13 (define @t240 () (@list @t237)) % 0.94/1.13 (define @t241 () (tptp.relation_of2 @t218 @t233 @t160)) % 0.94/1.13 (define @t242 () (= @t234 @t241)) % 0.94/1.13 (define @t243 () (not @t95)) % 0.94/1.13 (define @t244 () (tptp.one_sorted_str @t152)) % 0.94/1.13 (define @t245 () (not @t207)) % 0.94/1.13 (define @t246 () (or @t245 @t244)) % 0.94/1.13 (define @t247 () (tptp.empty @t160)) % 0.94/1.13 (define @t248 () (not @t247)) % 0.94/1.13 (define @t249 () (not @t244)) % 0.94/1.13 (define @t250 () (or @t222 @t249 @t248)) % 0.94/1.13 (define @t251 () (tptp.apply_binary @t218 @t150 @t149)) % 0.94/1.13 (define @t252 () (= @t219 @t251)) % 0.94/1.13 (define @t253 () (not @t241)) % 0.94/1.13 (define @t254 () (not @t235)) % 0.94/1.13 (define @t255 () (not @t236)) % 0.94/1.13 (define @t256 () (or @t247 @t247 @t255 @t254 @t253 @t164 @t162 @t252)) % 0.94/1.13 (define @t257 () (@list false false true false false false false)) % 0.94/1.13 (define @t258 () (@var "BOUND_VARIABLE_7859" $$unsorted)) % 0.94/1.13 (define @t259 () (and (= (tptp.apply_binary @t26 @t11 @t258) (tptp.subset_union2 @t1 @t11 @t258)) (= (tptp.apply_binary @t25 @t11 @t258) (tptp.subset_intersection2 @t1 @t11 @t258)))) % 0.94/1.13 (define @t260 () (not (tptp.element @t258 @t19))) % 0.94/1.13 (define @t261 () (not @t20)) % 0.94/1.13 (define @t262 () (or @t261 @t260 @t259)) % 0.94/1.13 (define @t263 () (@list @t11 @t258)) % 0.94/1.13 (define @t264 () (= @t37 (and (= @t19 @t34) (forall @t263 @t262)))) % 0.94/1.13 (define @t265 () (not @t39)) % 0.94/1.13 (define @t266 () (not @t40)) % 0.94/1.13 (define @t267 () (or @t266 @t265 @t264)) % 0.94/1.13 (define @t268 () (or @t260 @t259)) % 0.94/1.13 (define @t269 () (or @t261 @t268)) % 0.94/1.13 (define @t270 () (forall @t263 @t269)) % 0.94/1.13 (define @t271 () (@list @t258)) % 0.94/1.13 (define @t272 () (forall @t271 @t269)) % 0.94/1.13 (define @t273 () (forall @t271 @t268)) % 0.94/1.13 (define @t274 () (or @t261 @t273)) % 0.94/1.13 (define @t275 () (forall @t29 (or (not @t28) @t27))) % 0.94/1.13 (define @t276 () (tptp.the_L_meet @t152)) % 0.94/1.13 (define @t277 () (tptp.apply_binary @t276 @t11 @t258)) % 0.94/1.13 (define @t278 () (tptp.subset_intersection2 @t151 @t11 @t258)) % 0.94/1.13 (define @t279 () (tptp.apply_binary @t218 @t11 @t258)) % 0.94/1.13 (define @t280 () (tptp.subset_union2 @t151 @t11 @t258)) % 0.94/1.13 (define @t281 () (tptp.powerset @t151)) % 0.94/1.13 (define @t282 () (not (tptp.element @t258 @t281))) % 0.94/1.13 (define @t283 () (not (tptp.element @t11 @t281))) % 0.94/1.13 (define @t284 () (forall @t263 (or @t283 @t282 (and (= @t280 @t279) (= @t278 @t277))))) % 0.94/1.13 (define @t285 () (= @t160 @t281)) % 0.94/1.13 (define @t286 () (and @t285 @t284)) % 0.94/1.13 (define @t287 () (and (= @t279 @t280) (= @t277 @t278))) % 0.94/1.13 (define @t288 () (or @t283 @t282 @t287)) % 0.94/1.13 (define @t289 () (forall @t263 @t288)) % 0.94/1.13 (define @t290 () (and (= @t281 @t160) @t289)) % 0.94/1.13 (define @t291 () (= (= @t152 @t152) @t290)) % 0.94/1.13 (define @t292 () (tptp.strict_latt_str @t152)) % 0.94/1.13 (define @t293 () (not @t292)) % 0.94/1.13 (define @t294 () (or @t293 @t210 @t291)) % 0.94/1.13 (define @t295 () (forall @t10 @t267)) % 0.94/1.13 (define @t296 () (or @t293 @t210 @t286)) % 0.94/1.13 (define @t297 () (@list false false false)) % 0.94/1.13 (define @t298 () (not @t286)) % 0.94/1.13 (define @t299 () (@list @t286)) % 0.94/1.13 (define @t300 () (tptp.element @t149 @t281)) % 0.94/1.13 (define @t301 () (tptp.element @t150 @t281)) % 0.94/1.13 (define @t302 () (tptp.apply_binary @t276 @t150 @t149)) % 0.94/1.13 (define @t303 () (tptp.subset_intersection2 @t151 @t150 @t149)) % 0.94/1.13 (define @t304 () (= @t303 @t302)) % 0.94/1.13 (define @t305 () (tptp.subset_union2 @t151 @t150 @t149)) % 0.94/1.13 (define @t306 () (= @t305 @t251)) % 0.94/1.13 (define @t307 () (and @t306 @t304)) % 0.94/1.13 (define @t308 () (not @t300)) % 0.94/1.13 (define @t309 () (not @t301)) % 0.94/1.13 (define @t310 () (or @t309 @t308 @t307)) % 0.94/1.13 (define @t311 () (not @t307)) % 0.94/1.13 (define @t312 () (@list @t307)) % 0.94/1.13 (define @t313 () (not @t21)) % 0.94/1.13 (define @t314 () (or @t313 @t261 @t114)) % 0.94/1.13 (define @t315 () (or @t313 @t261)) % 0.94/1.13 (define @t316 () (not @t22)) % 0.94/1.13 (define @t317 () (or @t309 @t308 (= @t305 @t157))) % 0.94/1.13 (define @t318 () (forall @t14 @t314)) % 0.94/1.13 (define @t319 () (@list @t151 @t150 @t149)) % 0.94/1.13 (define @t320 () (= @t157 @t305)) % 0.94/1.13 (define @t321 () (or @t309 @t308 @t320)) % 0.94/1.13 (define @t322 () (@var "BOUND_VARIABLE_7961" $$unsorted)) % 0.94/1.13 (define @t323 () (@var "BOUND_VARIABLE_7959" $$unsorted)) % 0.94/1.13 (define @t324 () (= (tptp.meet @t1 @t323 @t322) (tptp.apply_binary_as_element @t4 @t4 @t4 @t2 @t323 @t322))) % 0.94/1.13 (define @t325 () (not (tptp.element @t322 @t4))) % 0.94/1.13 (define @t326 () (not (tptp.element @t323 @t4))) % 0.94/1.13 (define @t327 () (not @t63)) % 0.94/1.13 (define @t328 () (or @t326 @t325 @t324)) % 0.94/1.13 (define @t329 () (or @t53 @t327 @t328)) % 0.94/1.13 (define @t330 () (forall (@list @t1 @t323 @t322) @t329)) % 0.94/1.13 (define @t331 () (@list @t323 @t322)) % 0.94/1.13 (define @t332 () (forall @t331 @t329)) % 0.94/1.13 (define @t333 () (forall @t331 @t328)) % 0.94/1.13 (define @t334 () (@var "BOUND_VARIABLE_7939" $$unsorted)) % 0.94/1.13 (define @t335 () (or @t53 @t327 @t333)) % 0.94/1.13 (define @t336 () (= (tptp.meet @t1 @t8 @t334) (tptp.apply_binary_as_element @t4 @t4 @t4 @t2 @t8 @t334))) % 0.94/1.13 (define @t337 () (not (tptp.element @t334 @t4))) % 0.94/1.13 (define @t338 () (or @t184 @t337 @t336)) % 0.94/1.13 (define @t339 () (@list @t8 @t334)) % 0.94/1.13 (define @t340 () (forall @t339 @t338)) % 0.94/1.13 (define @t341 () (or @t53 @t327 @t340)) % 0.94/1.13 (define @t342 () (or @t337 @t336)) % 0.94/1.13 (define @t343 () (or @t184 @t342)) % 0.94/1.13 (define @t344 () (forall @t339 @t343)) % 0.94/1.13 (define @t345 () (@list @t334)) % 0.94/1.13 (define @t346 () (forall @t345 @t343)) % 0.94/1.13 (define @t347 () (forall @t345 @t342)) % 0.94/1.13 (define @t348 () (or @t184 @t347)) % 0.94/1.13 (define @t349 () (forall @t32 (or @t197 @t59))) % 0.94/1.13 (define @t350 () (tptp.apply_binary_as_element @t160 @t160 @t160 @t276 @t150 @t149)) % 0.94/1.13 (define @t351 () (= @t153 @t350)) % 0.94/1.13 (define @t352 () (or @t222 @t245 @t164 @t162 @t351)) % 0.94/1.13 (define @t353 () (tptp.relation_of2_as_subset @t276 @t233 @t160)) % 0.94/1.13 (define @t354 () (tptp.quasi_total @t276 @t233 @t160)) % 0.94/1.13 (define @t355 () (tptp.function @t276)) % 0.94/1.13 (define @t356 () (and @t355 @t354 @t353)) % 0.94/1.13 (define @t357 () (or @t245 @t356)) % 0.94/1.13 (define @t358 () (not @t356)) % 0.94/1.13 (define @t359 () (@list @t356)) % 0.94/1.13 (define @t360 () (tptp.relation_of2 @t276 @t233 @t160)) % 0.94/1.13 (define @t361 () (= @t353 @t360)) % 0.94/1.13 (define @t362 () (= @t350 @t302)) % 0.94/1.13 (define @t363 () (not @t360)) % 0.94/1.13 (define @t364 () (not @t354)) % 0.94/1.13 (define @t365 () (not @t355)) % 0.94/1.13 (define @t366 () (or @t247 @t247 @t365 @t364 @t363 @t164 @t162 @t362)) % 0.94/1.13 (define @t367 () (or @t313 @t261 @t117)) % 0.94/1.13 (define @t368 () (or @t309 @t308 (= @t303 @t154))) % 0.94/1.13 (define @t369 () (forall @t14 @t367)) % 0.94/1.13 (define @t370 () (= @t154 @t303)) % 0.94/1.13 (define @t371 () (or @t309 @t308 @t370)) % 0.94/1.13 (assume @p1 (forall @t7 (=> @t6 (=> @t5 (= @t1 (tptp.latt_str_of @t4 @t3 @t2)))))) % 0.94/1.13 (assume @p2 (forall @t10 (=> @t9 (not (tptp.in @t8 @t1))))) % 0.94/1.13 (assume @p3 (forall @t14 (=> @t13 (tptp.relation @t11)))) % 0.94/1.13 (assume @p4 (forall @t10 (= @t15 (tptp.unordered_pair @t8 @t1)))) % 0.94/1.13 (assume @p5 (forall @t10 (= @t17 @t16))) % 0.94/1.13 (assume @p6 (forall @t10 (= (tptp.set_intersection2 @t1 @t8) (tptp.set_intersection2 @t8 @t1)))) % 0.94/1.13 (assume @p7 (forall @t14 (=> @t22 (= @t18 (tptp.subset_union2 @t1 @t11 @t8))))) % 0.94/1.13 (assume @p8 (forall @t14 (=> @t22 (= @t23 (tptp.subset_intersection2 @t1 @t11 @t8))))) % 0.94/1.13 (assume @p9 (forall @t7 (=> (and (tptp.relation @t1) (tptp.function @t1)) (forall (@list @t8 @t11) (= (tptp.apply_binary @t1 @t8 @t11) (tptp.apply @t1 (tptp.ordered_pair @t8 @t11))))))) % 0.94/1.13 (assume @p10 @t43) % 0.94/1.13 (assume @p11 @t57) % 0.94/1.13 (assume @p12 @t66) % 0.94/1.13 (assume @p13 (forall @t10 (= (tptp.ordered_pair @t1 @t8) (tptp.unordered_pair @t15 @t67)))) % 0.94/1.13 (assume @p14 (forall @t14 (=> @t77 (and @t69 (tptp.latt_str @t68))))) % 0.94/1.13 (assume @p15 true) % 0.94/1.13 (assume @p16 @t80) % 0.94/1.13 (assume @p17 (forall @t14 (=> (and @t54 @t52 @t48 @t46) (tptp.element @t44 @t4)))) % 0.94/1.13 (assume @p18 (forall @t94 (=> @t93 (tptp.element @t83 @t11)))) % 0.94/1.13 (assume @p19 (forall @t14 (=> (and @t54 @t63 @t48 @t46) (tptp.element @t58 @t4)))) % 0.94/1.13 (assume @p20 (forall @t14 (=> @t22 (tptp.element @t18 @t19)))) % 0.94/1.13 (assume @p21 (forall @t14 (=> @t22 (tptp.element @t23 @t19)))) % 0.94/1.13 (assume @p22 @t96) % 0.94/1.13 (assume @p23 (forall @t7 (=> @t52 @t95))) % 0.94/1.13 (assume @p24 @t98) % 0.94/1.13 (assume @p25 (forall @t14 (=> @t99 @t13))) % 0.94/1.13 (assume @p26 @t102) % 0.94/1.13 (assume @p27 @t104) % 0.94/1.13 (assume @p28 (exists @t7 @t63)) % 0.94/1.13 (assume @p29 (exists @t7 @t95)) % 0.94/1.13 (assume @p30 (exists @t7 @t52)) % 0.94/1.13 (assume @p31 (exists @t7 @t6)) % 0.94/1.13 (assume @p32 (forall @t10 (exists @t32 @t105))) % 0.94/1.13 (assume @p33 (forall @t7 (exists @t50 (tptp.element @t8 @t1)))) % 0.94/1.13 (assume @p34 (forall @t10 (exists @t32 @t99))) % 0.94/1.13 (assume @p35 @t107) % 0.94/1.13 (assume @p36 @t110) % 0.94/1.13 (assume @p37 (forall @t7 (not (tptp.empty @t19)))) % 0.94/1.13 (assume @p38 (tptp.empty tptp.empty_set)) % 0.94/1.13 (assume @p39 (forall @t7 (not (tptp.empty @t67)))) % 0.94/1.13 (assume @p40 (forall @t10 (=> @t92 (not (tptp.empty @t17))))) % 0.94/1.13 (assume @p41 (forall @t14 (=> (and @t92 @t76 @t75 @t74 @t73 @t72 @t71) (and (not (tptp.empty_carrier @t68)) @t69)))) % 0.94/1.13 (assume @p42 (forall @t10 (not (tptp.empty @t15)))) % 0.94/1.13 (assume @p43 (forall @t10 (=> @t92 (not (tptp.empty @t16))))) % 0.94/1.13 (assume @p44 (forall @t10 (=> (and @t92 @t90) (not (tptp.empty @t12))))) % 0.94/1.13 (assume @p45 (forall @t14 (=> @t77 (forall (@list @t24 @t82 @t81) (=> (= @t68 (tptp.latt_str_of @t24 @t82 @t81)) (and (= @t1 @t24) (= @t8 @t82) (= @t11 @t81))))))) % 0.94/1.13 (assume @p46 (forall @t10 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.94/1.13 (assume @p47 (forall @t10 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.94/1.13 (assume @p48 (forall @t14 (=> @t22 (= (tptp.subset_union2 @t1 @t8 @t8) @t8)))) % 0.94/1.13 (assume @p49 (forall @t14 (=> @t22 (= (tptp.subset_intersection2 @t1 @t8 @t8) @t8)))) % 0.94/1.13 (assume @p50 (forall @t7 (=> @t92 (exists @t50 (and @t21 @t90))))) % 0.94/1.13 (assume @p51 (exists @t7 @t91)) % 0.94/1.13 (assume @p52 (forall @t7 (exists @t50 (and @t21 @t89)))) % 0.94/1.13 (assume @p53 (exists @t7 @t92)) % 0.94/1.13 (assume @p54 (exists @t7 (and @t6 @t5))) % 0.94/1.13 (assume @p55 (exists @t7 (and @t95 @t54))) % 0.94/1.13 (assume @p56 (forall @t7 (=> @t109 (exists @t50 (and (tptp.element @t8 (tptp.powerset @t4)) @t90))))) % 0.94/1.13 (assume @p57 (exists @t7 (and @t6 @t54 @t5))) % 0.94/1.13 (assume @p58 @t112) % 0.94/1.13 (assume @p59 @t115) % 0.94/1.13 (assume @p60 @t118) % 0.94/1.13 (assume @p61 (forall @t14 (= @t99 @t105))) % 0.94/1.13 (assume @p62 (forall @t10 (tptp.subset @t1 @t1))) % 0.94/1.13 (assume @p63 (forall @t7 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.94/1.13 (assume @p64 @t129) % 0.94/1.13 (assume @p65 (forall @t10 (=> @t9 @t130))) % 0.94/1.13 (assume @p66 (forall @t7 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.94/1.13 (assume @p67 (forall @t10 (=> @t130 (or @t89 @t9)))) % 0.94/1.13 (assume @p68 (forall @t10 (= (tptp.element @t1 (tptp.powerset @t8)) (tptp.subset @t1 @t8)))) % 0.94/1.13 (assume @p69 (forall @t14 (=> (and @t9 @t131) (tptp.element @t1 @t11)))) % 0.94/1.13 (assume @p70 (forall @t14 (not (and @t9 @t131 (tptp.empty @t11))))) % 0.94/1.13 (assume @p71 (forall @t7 (=> @t91 (= @t1 tptp.empty_set)))) % 0.94/1.13 (assume @p72 (forall @t10 (not (and @t9 @t89)))) % 0.94/1.13 (assume @p73 (forall @t10 (not (and @t91 (not (= @t1 @t8)) @t89)))) % 0.94/1.13 (step @p74 :rule aci_norm :args ((= @t138 @t136))) % 0.94/1.13 (step @p75 :rule cong :premises (@p74) :args (@t140)) % 0.94/1.13 (step @p76 :rule quant-merge-prenex :args ((= (forall @t10 @t142) @t140))) % 0.94/1.13 (step @p77 :rule alpha_equiv :args (@t143 (@list @t132) @t144)) % 0.94/1.13 (step @p78 :rule refl :args (@t135)) % 0.94/1.13 (step @p79 :rule nary_cong :premises (@p78 @p77) :args (@t145)) % 0.94/1.13 (step @p80 :rule quant-miniscope-or :args ((= @t142 @t145))) % 0.94/1.13 (step @p81 :rule trans :premises (@p80 @p79)) % 0.94/1.13 (step @p82 :rule symm :premises (@p81)) % 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@p348)) % 0.94/1.13 (step @p354 :rule implies_elim :premises (@p353)) % 0.94/1.13 (step @p355 :rule chain_m_resolution :premises (@p354 @p328) :args (@t296 @t214 (@list @t295))) % 0.94/1.13 (step @p356 :rule and_elim :premises (@p168) :args (0)) % 0.94/1.13 (step @p357 :rule instantiate :premises (@p356) :args (@t205)) % 0.94/1.13 (step @p358 :rule cnf_or_pos :args (@t296)) % 0.94/1.13 (step @p359 :rule reordering :premises (@p358) :args ((or @t210 @t293 @t286 (not @t296)))) % 0.94/1.13 (step @p360 :rule chain_m_resolution :premises (@p359 @p170 @p357 @p355) :args (@t286 @t297 (@list @t209 @t292 @t296))) % 0.94/1.13 (step @p361 :rule cnf_and_pos :args (@t286 1)) % 0.94/1.13 (step @p362 :rule reordering :premises (@p361) :args ((or @t284 @t298))) % 0.94/1.13 (step @p363 :rule chain_m_resolution :premises (@p362 @p360) :args (@t284 @t214 @t299)) % 0.94/1.13 (step @p364 :rule instantiate :premises (@p363) :args ((@list @t150 @t149))) % 0.94/1.13 (step @p365 :rule true_intro :premises 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0.94/1.13 (step @p394 :rule eq-symm :args (@t305 @t157)) % 0.94/1.13 (step @p395 :rule refl :args (@t308)) % 0.94/1.13 (step @p396 :rule refl :args (@t309)) % 0.94/1.13 (step @p397 :rule nary_cong :premises (@p396 @p395 @p394) :args (@t317)) % 0.94/1.13 (step @p398 :rule refl :args (@t318)) % 0.94/1.13 (step @p399 :rule cong :premises (@p398 @p397) :args ((=> @t318 @t317))) % 0.94/1.13 (assume-push @p519 @t318) % 0.94/1.13 (step @p401 :rule instantiate :premises (@p393) :args (@t319)) % 0.94/1.13 (step-pop @p520 :rule scope :premises (@p401)) % 0.94/1.13 (step @p402 :rule process_scope :premises (@p520) :args (@t317)) % 0.94/1.13 (step @p404 :rule eq_resolve :premises (@p402 @p399)) % 0.94/1.13 (step @p405 :rule implies_elim :premises (@p404)) % 0.94/1.13 (step @p406 :rule chain_m_resolution :premises (@p405 @p393) :args (@t321 @t214 (@list @t318))) % 0.94/1.13 (step @p407 :rule cnf_or_pos :args (@t321)) % 0.94/1.13 (step @p408 :rule reordering :premises (@p407) :args ((or @t309 @t308 @t320 (not @t321)))) % 0.94/1.13 (step @p409 :rule chain_m_resolution :premises (@p408 @p378 @p373 @p406) :args (@t320 @t297 (@list @t301 @t300 @t321))) % 0.94/1.13 (step @p410 :rule trans :premises (@p409 @p384 @p290 @p201)) % 0.94/1.13 (step @p411 :rule aci_norm :args ((= @t329 (or @t53 @t327 @t326 @t325 @t324)))) % 0.94/1.13 (step @p412 :rule cong :premises (@p411) :args (@t330)) % 0.94/1.13 (step @p413 :rule quant-merge-prenex :args ((= (forall @t7 @t332) @t330))) % 0.94/1.13 (step @p414 :rule alpha_equiv :args (@t333 (@list @t323 @t322) (@list @t8 @t334))) % 0.94/1.13 (step @p415 :rule refl :args (@t327)) % 0.94/1.13 (step @p416 :rule nary_cong :premises (@p112 @p415 @p414) :args (@t335)) % 0.94/1.13 (step @p417 :rule quant-miniscope-or :args ((= @t332 @t335))) % 0.94/1.13 (step @p418 :rule trans :premises (@p417 @p416)) % 0.94/1.13 (step @p419 :rule symm :premises (@p418)) % 0.94/1.13 (step @p420 :rule cong :premises (@p419) :args ((forall @t7 @t341))) % 0.94/1.13 (step @p421 :rule trans :premises (@p420 @p413)) % 0.94/1.13 (step @p422 :rule trans :premises (@p421 @p412)) % 0.94/1.13 (step @p423 :rule aci_norm :args ((= (or (or @t53 @t327) @t340) @t341))) % 0.94/1.13 (step @p424 :rule refl :args (@t340)) % 0.94/1.13 (step @p425 :rule nary_cong :premises (@p122 @p415) :args ((or @t189 @t327))) % 0.94/1.13 (step @p426 :rule bool-and-de-morgan :args (@t54 @t63 true)) % 0.94/1.13 (step @p427 :rule trans :premises (@p426 @p425)) % 0.94/1.13 (step @p428 :rule nary_cong :premises (@p427 @p424) :args ((or (not @t64) @t340))) % 0.94/1.13 (step @p429 :rule trans :premises (@p428 @p423)) % 0.94/1.13 (step @p430 :rule bool-impl-elim :args (@t64 @t340)) % 0.94/1.13 (step @p431 :rule trans :premises (@p430 @p429)) % 0.94/1.13 (step @p432 :rule cong :premises (@p431) :args ((forall @t7 (=> @t64 @t340)))) % 0.94/1.13 (step @p433 :rule trans :premises (@p432 @p422)) % 0.94/1.13 (step @p434 :rule aci_norm :args ((= @t343 @t338))) % 0.94/1.13 (step @p435 :rule cong :premises (@p434) :args (@t344)) % 0.94/1.13 (step @p436 :rule quant-merge-prenex :args ((= (forall @t50 @t346) @t344))) % 0.94/1.13 (step @p437 :rule alpha_equiv :args (@t347 (@list @t334) @t144)) % 0.94/1.13 (step @p438 :rule nary_cong :premises (@p136 @p437) :args (@t348)) % 0.94/1.13 (step @p439 :rule quant-miniscope-or :args ((= @t346 @t348))) % 0.94/1.13 (step @p440 :rule trans :premises (@p439 @p438)) % 0.94/1.13 (step @p441 :rule symm :premises (@p440)) % 0.94/1.13 (step @p442 :rule cong :premises (@p441) :args ((forall @t50 (or @t184 @t349)))) % 0.94/1.13 (step @p443 :rule trans :premises (@p442 @p436)) % 0.94/1.13 (step @p444 :rule trans :premises (@p443 @p435)) % 0.94/1.13 (step @p445 :rule bool-impl-elim :args (@t48 @t349)) % 0.94/1.13 (step @p446 :rule cong :premises (@p445) :args ((forall @t50 (=> @t48 @t349)))) % 0.94/1.13 (step @p447 :rule trans :premises (@p446 @p444)) % 0.94/1.13 (step @p448 :rule bool-impl-elim :args (@t46 @t59)) % 0.94/1.13 (step @p449 :rule cong :premises (@p448) :args (@t60)) % 0.94/1.13 (step @p450 :rule cong :premises (@p149 @p449) :args (@t61)) % 0.94/1.13 (step @p451 :rule cong :premises (@p450) :args (@t62)) % 0.94/1.13 (step @p452 :rule trans :premises (@p451 @p447)) % 0.94/1.13 (step @p453 :rule refl :args (@t64)) % 0.94/1.13 (step @p454 :rule cong :premises (@p453 @p452) :args (@t65)) % 0.94/1.13 (step @p455 :rule cong :premises (@p454) :args (@t66)) % 0.94/1.13 (step @p456 :rule trans :premises (@p455 @p433)) % 0.94/1.13 (step @p457 :rule eq_resolve :premises (@p12 @p456)) % 0.94/1.13 (step @p458 :rule instantiate :premises (@p457) :args (@t199)) % 0.94/1.13 (step @p459 :rule cnf_or_pos :args (@t352)) % 0.94/1.13 (step @p460 :rule reordering :premises (@p459) :args ((or @t164 @t162 @t222 @t245 @t351 (not @t352)))) % 0.94/1.13 (step @p461 :rule chain_m_resolution :premises (@p460 @p197 @p191 @p184 @p279 @p458) :args (@t351 @t224 (@list @t163 @t161 @t222 @t207 @t352))) % 0.94/1.13 (step @p462 :rule symm :premises (@p461)) % 0.94/1.13 (step @p463 :rule instantiate :premises (@p238) :args ((@list @t160 @t160 @t160 @t276 @t150 @t149))) % 0.94/1.13 (step @p464 :rule instantiate :premises (@p61) :args ((@list @t233 @t160 @t276))) % 0.94/1.13 (step @p465 :rule bool-impl-elim :args (@t63 @t101)) % 0.94/1.13 (step @p466 :rule cong :premises (@p465) :args (@t102)) % 0.94/1.13 (step @p467 :rule eq_resolve :premises (@p26 @p466)) % 0.94/1.13 (step @p468 :rule instantiate :premises (@p467) :args (@t200)) % 0.94/1.13 (step @p469 :rule cnf_or_pos :args (@t357)) % 0.94/1.13 (step @p470 :rule reordering :premises (@p469) :args ((or @t245 @t356 (not @t357)))) % 0.94/1.13 (step @p471 :rule chain_m_resolution :premises (@p470 @p279 @p468) :args (@t356 @t212 (@list @t207 @t357))) % 0.94/1.13 (step @p472 :rule cnf_and_pos :args (@t356 2)) % 0.94/1.13 (step @p473 :rule reordering :premises (@p472) :args ((or @t353 @t358))) % 0.94/1.13 (step @p474 :rule chain_m_resolution :premises (@p473 @p471) :args (@t353 @t214 @t359)) % 0.94/1.13 (step @p475 :rule cnf_equiv_pos1 :args (@t361)) % 0.94/1.13 (step @p476 :rule reordering :premises (@p475) :args ((or (not @t353) @t360 (not @t361)))) % 0.94/1.13 (step @p477 :rule chain_m_resolution :premises (@p476 @p474 @p464) :args (@t360 @t212 (@list @t353 @t361))) % 0.94/1.13 (step @p478 :rule cnf_and_pos :args (@t356 1)) % 0.94/1.13 (step @p479 :rule reordering :premises (@p478) :args ((or @t354 @t358))) % 0.94/1.13 (step @p480 :rule chain_m_resolution :premises (@p479 @p471) :args (@t354 @t214 @t359)) % 0.94/1.13 (step @p481 :rule cnf_and_pos :args (@t356 0)) % 0.94/1.13 (step @p482 :rule reordering :premises (@p481) :args ((or @t355 @t358))) % 0.94/1.13 (step @p483 :rule chain_m_resolution :premises (@p482 @p471) :args (@t355 @t214 @t359)) % 0.94/1.13 (step @p484 :rule cnf_or_pos :args (@t366)) % 0.94/1.13 (step @p485 :rule factoring :premises (@p484)) % 0.94/1.13 (step @p486 :rule reordering :premises (@p485) :args ((or @t164 @t162 @t247 @t365 @t364 @t363 @t362 (not @t366)))) % 0.94/1.13 (step @p487 :rule chain_m_resolution :premises (@p486 @p197 @p191 @p285 @p483 @p480 @p477 @p463) :args (@t362 @t257 (@list @t163 @t161 @t247 @t355 @t354 @t360 @t366))) % 0.94/1.13 (step @p488 :rule symm :premises (@p487)) % 0.94/1.13 (step @p489 :rule cnf_and_pos :args (@t307 1)) % 0.94/1.13 (step @p490 :rule reordering :premises (@p489) :args ((or @t304 @t311))) % 0.94/1.13 (step @p491 :rule chain_m_resolution :premises (@p490 @p381) :args (@t304 @t214 @t312)) % 0.94/1.13 (step @p492 :rule aci_norm :args ((= (or @t315 @t117) @t367))) % 0.94/1.13 (step @p493 :rule refl :args (@t117)) % 0.94/1.13 (step @p494 :rule nary_cong :premises (@p387 @p493) :args ((or @t316 @t117))) % 0.94/1.13 (step @p495 :rule trans :premises (@p494 @p492)) % 0.94/1.13 (step @p496 :rule bool-impl-elim :args (@t22 @t117)) % 0.94/1.13 (step @p497 :rule trans :premises (@p496 @p495)) % 0.94/1.13 (step @p498 :rule cong :premises (@p497) :args (@t118)) % 0.94/1.13 (step @p499 :rule eq_resolve :premises (@p60 @p498)) % 0.94/1.13 (step @p500 :rule eq-symm :args (@t303 @t154)) % 0.94/1.13 (step @p501 :rule nary_cong :premises (@p396 @p395 @p500) :args (@t368)) % 0.94/1.13 (step @p502 :rule refl :args (@t369)) % 0.94/1.13 (step @p503 :rule cong :premises (@p502 @p501) :args ((=> @t369 @t368))) % 0.94/1.13 (assume-push @p521 @t369) % 0.94/1.13 (step @p505 :rule instantiate :premises (@p499) :args (@t319)) % 0.94/1.13 (step-pop @p522 :rule scope :premises (@p505)) % 0.94/1.13 (step @p506 :rule process_scope :premises (@p522) :args (@t368)) % 0.94/1.13 (step @p508 :rule eq_resolve :premises (@p506 @p503)) % 0.94/1.13 (step @p509 :rule implies_elim :premises (@p508)) % 0.94/1.13 (step @p510 :rule chain_m_resolution :premises (@p509 @p499) :args (@t371 @t214 (@list @t369))) % 0.94/1.13 (step @p511 :rule cnf_or_pos :args (@t371)) % 0.94/1.13 (step @p512 :rule reordering :premises (@p511) :args ((or @t309 @t308 @t370 (not @t371)))) % 0.94/1.13 (step @p513 :rule chain_m_resolution :premises (@p512 @p378 @p373 @p510) :args (@t370 @t297 (@list @t301 @t300 @t371))) % 0.94/1.13 (step @p514 :rule trans :premises (@p513 @p491 @p488 @p462)) % 0.94/1.13 (step @p515 :rule cnf_and_neg :args (@t159)) % 0.94/1.13 (step @p516 false :rule chain_m_resolution :premises (@p515 @p514 @p410 @p106) :args (false (@list false false true) (@list @t155 @t158 @t159))) % 0.94/1.13 ) % 0.94/1.13 % SZS output end Proof % 0.94/1.13 % cvc5 exiting %------------------------------------------------------------------------------