%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU374+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 : n021.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 08:51:33 AM UTC 2026 % Result : Theorem 0.44s 0.65s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU374+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 % 0.16/0.34 % Computer : n021.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 17:04:35 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.65 % SZS status Theorem % 0.44/0.65 % SZS output start Proof % 0.44/0.65 ( % 0.44/0.65 (declare-sort $$unsorted 0) % 0.44/0.65 (declare-const tptp.quasi_total (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.net_str (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.subrelstr (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.function (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.subnetstr (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.relation_dom_restr_as_relation_of (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.empty_set $$unsorted) % 0.44/0.65 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.44/0.65 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.44/0.65 (declare-const tptp.the_mapping (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.65 (define @t1 () (@var "A" $$unsorted)) % 0.44/0.65 (define @t2 () (@var "B" $$unsorted)) % 0.44/0.65 (define @t3 () (tptp.in @t1 @t2)) % 0.44/0.65 (define @t4 () (@list @t1 @t2)) % 0.44/0.65 (define @t5 () (tptp.function @t1)) % 0.44/0.65 (define @t6 () (tptp.empty @t1)) % 0.44/0.65 (define @t7 () (@list @t1)) % 0.44/0.65 (define @t8 () (tptp.relation @t1)) % 0.44/0.65 (define @t9 () (@var "C" $$unsorted)) % 0.44/0.65 (define @t10 () (tptp.cartesian_product2 @t1 @t2)) % 0.44/0.65 (define @t11 () (tptp.element @t9 (tptp.powerset @t10))) % 0.44/0.65 (define @t12 () (@list @t1 @t2 @t9)) % 0.44/0.65 (define @t13 () (and @t8 @t5 (tptp.one_to_one @t1))) % 0.44/0.65 (define @t14 () (and @t8 @t6 @t5)) % 0.44/0.65 (define @t15 () (tptp.the_carrier @t9)) % 0.44/0.65 (define @t16 () (tptp.the_mapping @t1 @t2)) % 0.44/0.65 (define @t17 () (tptp.the_carrier @t1)) % 0.44/0.65 (define @t18 () (tptp.the_carrier @t2)) % 0.44/0.65 (define @t19 () (tptp.subnetstr @t9 @t1 @t2)) % 0.44/0.65 (define @t20 () (= @t19 (and (tptp.subrelstr @t9 @t2) (= (tptp.the_mapping @t1 @t9) (tptp.relation_dom_restr_as_relation_of @t18 @t17 @t16 @t15))))) % 0.44/0.65 (define @t21 () (tptp.net_str @t9 @t1)) % 0.44/0.65 (define @t22 () (@list @t9)) % 0.44/0.65 (define @t23 () (forall @t22 (=> @t21 @t20))) % 0.44/0.65 (define @t24 () (tptp.net_str @t2 @t1)) % 0.44/0.65 (define @t25 () (=> @t24 @t23)) % 0.44/0.65 (define @t26 () (@list @t2)) % 0.44/0.65 (define @t27 () (forall @t26 @t25)) % 0.44/0.65 (define @t28 () (tptp.one_sorted_str @t1)) % 0.44/0.65 (define @t29 () (=> @t28 @t27)) % 0.44/0.65 (define @t30 () (forall @t7 @t29)) % 0.44/0.65 (define @t31 () (tptp.relation_dom_restriction @t1 @t2)) % 0.44/0.65 (define @t32 () (tptp.relation @t31)) % 0.44/0.65 (define @t33 () (@var "D" $$unsorted)) % 0.44/0.65 (define @t34 () (tptp.relation_dom_restr_as_relation_of @t1 @t2 @t9 @t33)) % 0.44/0.65 (define @t35 () (tptp.relation_of2 @t9 @t1 @t2)) % 0.44/0.65 (define @t36 () (@list @t1 @t2 @t9 @t33)) % 0.44/0.65 (define @t37 () (tptp.rel_str @t1)) % 0.44/0.65 (define @t38 () (tptp.rel_str @t2)) % 0.44/0.65 (define @t39 () (forall @t26 (=> @t24 @t38))) % 0.44/0.65 (define @t40 () (=> @t28 @t39)) % 0.44/0.65 (define @t41 () (forall @t7 @t40)) % 0.44/0.65 (define @t42 () (tptp.subrelstr @t2 @t1)) % 0.44/0.65 (define @t43 () (forall @t22 (=> @t19 @t21))) % 0.44/0.65 (define @t44 () (and @t28 @t24)) % 0.44/0.65 (define @t45 () (=> @t44 @t43)) % 0.44/0.65 (define @t46 () (forall @t4 @t45)) % 0.44/0.65 (define @t47 () (tptp.relation_of2_as_subset @t9 @t1 @t2)) % 0.44/0.65 (define @t48 () (tptp.relation tptp.empty_set)) % 0.44/0.65 (define @t49 () (tptp.empty tptp.empty_set)) % 0.44/0.65 (define @t50 () (tptp.relation_empty_yielding @t1)) % 0.44/0.65 (define @t51 () (and @t8 @t50)) % 0.44/0.65 (define @t52 () (tptp.powerset @t1)) % 0.44/0.65 (define @t53 () (and @t8 @t5)) % 0.44/0.65 (define @t54 () (tptp.empty @t2)) % 0.44/0.65 (define @t55 () (not @t54)) % 0.44/0.65 (define @t56 () (not @t6)) % 0.44/0.65 (define @t57 () (tptp.element @t2 @t52)) % 0.44/0.65 (define @t58 () (tptp.element @t1 @t2)) % 0.44/0.65 (define @t59 () (@var "E" $$unsorted)) % 0.44/0.65 (define @t60 () (tptp.related @t2 @t33 @t59)) % 0.44/0.65 (define @t61 () (@var "G" $$unsorted)) % 0.44/0.65 (define @t62 () (@var "F" $$unsorted)) % 0.44/0.65 (define @t63 () (tptp.related @t9 @t62 @t61)) % 0.44/0.65 (define @t64 () (= @t59 @t61)) % 0.44/0.65 (define @t65 () (= @t33 @t62)) % 0.44/0.65 (define @t66 () (and @t65 @t64 @t63)) % 0.44/0.65 (define @t67 () (=> @t66 @t60)) % 0.44/0.65 (define @t68 () (tptp.element @t61 @t15)) % 0.44/0.65 (define @t69 () (@list @t61)) % 0.44/0.65 (define @t70 () (forall @t69 (=> @t68 @t67))) % 0.44/0.65 (define @t71 () (tptp.element @t62 @t15)) % 0.44/0.65 (define @t72 () (=> @t71 @t70)) % 0.44/0.65 (define @t73 () (@list @t62)) % 0.44/0.65 (define @t74 () (forall @t73 @t72)) % 0.44/0.65 (define @t75 () (tptp.element @t59 @t18)) % 0.44/0.65 (define @t76 () (=> @t75 @t74)) % 0.44/0.65 (define @t77 () (@list @t59)) % 0.44/0.65 (define @t78 () (forall @t77 @t76)) % 0.44/0.65 (define @t79 () (tptp.element @t33 @t18)) % 0.44/0.65 (define @t80 () (=> @t79 @t78)) % 0.44/0.65 (define @t81 () (@list @t33)) % 0.44/0.65 (define @t82 () (forall @t81 @t80)) % 0.44/0.65 (define @t83 () (=> @t19 @t82)) % 0.44/0.65 (define @t84 () (forall @t22 @t83)) % 0.44/0.65 (define @t85 () (=> @t24 @t84)) % 0.44/0.65 (define @t86 () (forall @t26 @t85)) % 0.44/0.65 (define @t87 () (=> @t28 @t86)) % 0.44/0.65 (define @t88 () (forall @t7 @t87)) % 0.44/0.65 (define @t89 () (not @t88)) % 0.44/0.65 (define @t90 () (tptp.element @t2 (tptp.powerset @t9))) % 0.44/0.65 (define @t91 () (tptp.related @t1 @t9 @t33)) % 0.44/0.65 (define @t92 () (tptp.related @t2 @t59 @t62)) % 0.44/0.65 (define @t93 () (= @t62 @t33)) % 0.44/0.65 (define @t94 () (= @t59 @t9)) % 0.44/0.65 (define @t95 () (and @t94 @t93 @t92)) % 0.44/0.65 (define @t96 () (=> @t95 @t91)) % 0.44/0.65 (define @t97 () (tptp.element @t62 @t18)) % 0.44/0.65 (define @t98 () (=> @t97 @t96)) % 0.44/0.65 (define @t99 () (forall @t73 @t98)) % 0.44/0.65 (define @t100 () (=> @t75 @t99)) % 0.44/0.65 (define @t101 () (forall @t77 @t100)) % 0.44/0.65 (define @t102 () (tptp.element @t33 @t17)) % 0.44/0.65 (define @t103 () (=> @t102 @t101)) % 0.44/0.65 (define @t104 () (forall @t81 @t103)) % 0.44/0.65 (define @t105 () (tptp.element @t9 @t17)) % 0.44/0.65 (define @t106 () (=> @t105 @t104)) % 0.44/0.65 (define @t107 () (forall @t22 @t106)) % 0.44/0.65 (define @t108 () (=> @t42 @t107)) % 0.44/0.65 (define @t109 () (forall @t26 @t108)) % 0.44/0.65 (define @t110 () (=> @t37 @t109)) % 0.44/0.65 (define @t111 () (forall @t7 @t110)) % 0.44/0.65 (define @t112 () (@var "BOUND_VARIABLE_8245" $$unsorted)) % 0.44/0.65 (define @t113 () (@var "BOUND_VARIABLE_8243" $$unsorted)) % 0.44/0.65 (define @t114 () (@var "BOUND_VARIABLE_8241" $$unsorted)) % 0.44/0.65 (define @t115 () (not (tptp.related @t114 @t113 @t112))) % 0.44/0.65 (define @t116 () (tptp.the_carrier @t114)) % 0.44/0.65 (define @t117 () (not (tptp.element @t112 @t116))) % 0.44/0.65 (define @t118 () (tptp.related @t1 @t113 @t112)) % 0.44/0.65 (define @t119 () (not (tptp.element @t112 @t17))) % 0.44/0.65 (define @t120 () (not (tptp.element @t113 @t116))) % 0.44/0.65 (define @t121 () (not (tptp.element @t113 @t17))) % 0.44/0.65 (define @t122 () (not (tptp.subrelstr @t114 @t1))) % 0.44/0.65 (define @t123 () (not @t37)) % 0.44/0.65 (define @t124 () (or @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t115)) % 0.44/0.65 (define @t125 () (or @t122 @t121 @t120 @t119 @t118 @t117 @t115)) % 0.44/0.65 (define @t126 () (or @t123 @t125)) % 0.44/0.65 (define @t127 () (@list @t1 @t114 @t113 @t112)) % 0.44/0.65 (define @t128 () (forall @t127 @t126)) % 0.44/0.65 (define @t129 () (@list @t114 @t113 @t112)) % 0.44/0.65 (define @t130 () (forall @t129 @t126)) % 0.44/0.65 (define @t131 () (forall @t129 @t125)) % 0.44/0.65 (define @t132 () (@var "BOUND_VARIABLE_8218" $$unsorted)) % 0.44/0.65 (define @t133 () (@var "BOUND_VARIABLE_8216" $$unsorted)) % 0.44/0.65 (define @t134 () (or @t123 @t131)) % 0.44/0.65 (define @t135 () (not (tptp.related @t2 @t133 @t132))) % 0.44/0.65 (define @t136 () (not (tptp.element @t132 @t18))) % 0.44/0.65 (define @t137 () (tptp.related @t1 @t133 @t132)) % 0.44/0.65 (define @t138 () (not (tptp.element @t132 @t17))) % 0.44/0.65 (define @t139 () (not (tptp.element @t133 @t18))) % 0.44/0.65 (define @t140 () (not (tptp.element @t133 @t17))) % 0.44/0.65 (define @t141 () (not @t42)) % 0.44/0.65 (define @t142 () (or @t141 @t140 @t139 @t138 @t137 @t136 @t135)) % 0.44/0.65 (define @t143 () (@list @t2 @t133 @t132)) % 0.44/0.65 (define @t144 () (forall @t143 @t142)) % 0.44/0.65 (define @t145 () (or @t140 @t139 @t138 @t137 @t136 @t135)) % 0.44/0.65 (define @t146 () (or @t141 @t145)) % 0.44/0.65 (define @t147 () (forall @t143 @t146)) % 0.44/0.65 (define @t148 () (@list @t133 @t132)) % 0.44/0.65 (define @t149 () (forall @t148 @t146)) % 0.44/0.65 (define @t150 () (forall @t148 @t145)) % 0.44/0.65 (define @t151 () (@var "BOUND_VARIABLE_8197" $$unsorted)) % 0.44/0.65 (define @t152 () (or @t141 @t150)) % 0.44/0.65 (define @t153 () (not (tptp.related @t2 @t9 @t151))) % 0.44/0.65 (define @t154 () (not (tptp.element @t151 @t18))) % 0.44/0.65 (define @t155 () (tptp.related @t1 @t9 @t151)) % 0.44/0.65 (define @t156 () (not (tptp.element @t151 @t17))) % 0.44/0.65 (define @t157 () (not (tptp.element @t9 @t18))) % 0.44/0.65 (define @t158 () (not @t105)) % 0.44/0.65 (define @t159 () (or @t158 @t157 @t156 @t155 @t154 @t153)) % 0.44/0.65 (define @t160 () (@list @t9 @t151)) % 0.44/0.65 (define @t161 () (forall @t160 @t159)) % 0.44/0.65 (define @t162 () (or @t156 @t155 @t154 @t153)) % 0.44/0.65 (define @t163 () (or @t158 @t157 @t162)) % 0.44/0.65 (define @t164 () (forall @t160 @t163)) % 0.44/0.65 (define @t165 () (@list @t151)) % 0.44/0.65 (define @t166 () (forall @t165 @t163)) % 0.44/0.65 (define @t167 () (forall @t165 @t162)) % 0.44/0.65 (define @t168 () (or @t158 @t157 @t167)) % 0.44/0.65 (define @t169 () (not (tptp.related @t2 @t9 @t33))) % 0.44/0.65 (define @t170 () (not @t79)) % 0.44/0.65 (define @t171 () (not @t102)) % 0.44/0.65 (define @t172 () (or @t171 @t91 @t170 @t169)) % 0.44/0.65 (define @t173 () (forall @t81 @t172)) % 0.44/0.65 (define @t174 () (or @t158 @t157 @t173)) % 0.44/0.65 (define @t175 () (or @t157 @t173)) % 0.44/0.65 (define @t176 () (or @t157 @t172)) % 0.44/0.65 (define @t177 () (or @t171 @t91 @t170 @t157 @t169)) % 0.44/0.65 (define @t178 () (or @t91 @t170 @t157 @t169)) % 0.44/0.65 (define @t179 () (or @t157 @t169)) % 0.44/0.65 (define @t180 () (not (= @t9 @t9))) % 0.44/0.65 (define @t181 () (or @t157 @t180 @t169)) % 0.44/0.65 (define @t182 () (not (tptp.related @t2 @t59 @t33))) % 0.44/0.65 (define @t183 () (= @t9 @t59)) % 0.44/0.65 (define @t184 () (not @t183)) % 0.44/0.65 (define @t185 () (not @t75)) % 0.44/0.65 (define @t186 () (or @t184 @t185 @t184 @t182)) % 0.44/0.65 (define @t187 () (or @t185 @t184 @t182)) % 0.44/0.65 (define @t188 () (forall @t77 @t187)) % 0.44/0.65 (define @t189 () (or @t91 @t170 @t188)) % 0.44/0.65 (define @t190 () (or @t91 @t170 @t187)) % 0.44/0.65 (define @t191 () (or @t185 @t184 @t91 @t170 @t182)) % 0.44/0.65 (define @t192 () (or @t184 @t91 @t170 @t182)) % 0.44/0.65 (define @t193 () (or @t170 @t182)) % 0.44/0.65 (define @t194 () (not (= @t33 @t33))) % 0.44/0.65 (define @t195 () (or @t170 @t194 @t182)) % 0.44/0.65 (define @t196 () (not @t92)) % 0.44/0.65 (define @t197 () (not @t65)) % 0.44/0.65 (define @t198 () (not @t97)) % 0.44/0.65 (define @t199 () (not @t93)) % 0.44/0.65 (define @t200 () (or @t197 @t198 @t197 @t196)) % 0.44/0.65 (define @t201 () (or @t198 @t197 @t196)) % 0.44/0.65 (define @t202 () (forall @t73 @t201)) % 0.44/0.65 (define @t203 () (or @t184 @t91 @t202)) % 0.44/0.65 (define @t204 () (or @t184 @t91 @t201)) % 0.44/0.65 (define @t205 () (or @t198 @t184 @t197 @t196 @t91)) % 0.44/0.65 (define @t206 () (or @t184 @t197 @t196 @t91)) % 0.44/0.65 (define @t207 () (or @t184 @t197 @t196)) % 0.44/0.65 (define @t208 () (and @t183 @t65 @t92)) % 0.44/0.65 (define @t209 () (=> @t208 @t91)) % 0.44/0.65 (define @t210 () (@var "BOUND_VARIABLE_7777" $$unsorted)) % 0.44/0.65 (define @t211 () (tptp.rel_str @t210)) % 0.44/0.65 (define @t212 () (not (tptp.net_str @t210 @t1))) % 0.44/0.65 (define @t213 () (not @t28)) % 0.44/0.65 (define @t214 () (or @t212 @t211)) % 0.44/0.65 (define @t215 () (or @t213 @t214)) % 0.44/0.65 (define @t216 () (forall (@list @t1 @t210) @t215)) % 0.44/0.65 (define @t217 () (@list @t210)) % 0.44/0.65 (define @t218 () (forall @t217 @t215)) % 0.44/0.65 (define @t219 () (forall @t217 @t214)) % 0.44/0.65 (define @t220 () (or @t213 @t219)) % 0.44/0.65 (define @t221 () (not @t24)) % 0.44/0.65 (define @t222 () (forall @t26 (or @t221 @t38))) % 0.44/0.65 (define @t223 () (@var "BOUND_VARIABLE_8102" $$unsorted)) % 0.44/0.65 (define @t224 () (@var "BOUND_VARIABLE_8100" $$unsorted)) % 0.44/0.65 (define @t225 () (@var "BOUND_VARIABLE_8098" $$unsorted)) % 0.44/0.65 (define @t226 () (not (tptp.related @t225 @t224 @t223))) % 0.44/0.65 (define @t227 () (tptp.the_carrier @t225)) % 0.44/0.65 (define @t228 () (not (tptp.element @t223 @t227))) % 0.44/0.65 (define @t229 () (@var "BOUND_VARIABLE_8096" $$unsorted)) % 0.44/0.65 (define @t230 () (tptp.related @t229 @t224 @t223)) % 0.44/0.65 (define @t231 () (tptp.the_carrier @t229)) % 0.44/0.65 (define @t232 () (not (tptp.element @t223 @t231))) % 0.44/0.65 (define @t233 () (not (tptp.element @t224 @t227))) % 0.44/0.65 (define @t234 () (not (tptp.element @t224 @t231))) % 0.44/0.65 (define @t235 () (not (tptp.subnetstr @t225 @t1 @t229))) % 0.44/0.65 (define @t236 () (not (tptp.net_str @t229 @t1))) % 0.44/0.65 (define @t237 () (or @t213 @t236 @t235 @t234 @t233 @t232 @t230 @t228 @t226)) % 0.44/0.65 (define @t238 () (@list @t1 @t229 @t225 @t224 @t223)) % 0.44/0.65 (define @t239 () (forall @t238 @t237)) % 0.44/0.65 (define @t240 () (@quantifiers_skolemize @t239 1)) % 0.44/0.65 (define @t241 () (@quantifiers_skolemize @t239 0)) % 0.44/0.65 (define @t242 () (or @t236 @t235 @t234 @t233 @t232 @t230 @t228 @t226)) % 0.44/0.65 (define @t243 () (or @t213 @t242)) % 0.44/0.65 (define @t244 () (forall @t238 @t243)) % 0.44/0.65 (define @t245 () (@list @t229 @t225 @t224 @t223)) % 0.44/0.65 (define @t246 () (forall @t245 @t243)) % 0.44/0.65 (define @t247 () (forall @t245 @t242)) % 0.44/0.65 (define @t248 () (@var "BOUND_VARIABLE_8070" $$unsorted)) % 0.44/0.65 (define @t249 () (@var "BOUND_VARIABLE_8068" $$unsorted)) % 0.44/0.65 (define @t250 () (@var "BOUND_VARIABLE_8066" $$unsorted)) % 0.44/0.65 (define @t251 () (or @t213 @t247)) % 0.44/0.65 (define @t252 () (not (tptp.related @t250 @t249 @t248))) % 0.44/0.65 (define @t253 () (tptp.the_carrier @t250)) % 0.44/0.65 (define @t254 () (not (tptp.element @t248 @t253))) % 0.44/0.65 (define @t255 () (tptp.related @t2 @t249 @t248)) % 0.44/0.65 (define @t256 () (not (tptp.element @t248 @t18))) % 0.44/0.65 (define @t257 () (not (tptp.element @t249 @t253))) % 0.44/0.65 (define @t258 () (not (tptp.element @t249 @t18))) % 0.44/0.65 (define @t259 () (not (tptp.subnetstr @t250 @t1 @t2))) % 0.44/0.65 (define @t260 () (or @t221 @t259 @t258 @t257 @t256 @t255 @t254 @t252)) % 0.44/0.65 (define @t261 () (@list @t2 @t250 @t249 @t248)) % 0.44/0.65 (define @t262 () (forall @t261 @t260)) % 0.44/0.65 (define @t263 () (or @t259 @t258 @t257 @t256 @t255 @t254 @t252)) % 0.44/0.65 (define @t264 () (or @t221 @t263)) % 0.44/0.65 (define @t265 () (forall @t261 @t264)) % 0.44/0.65 (define @t266 () (@list @t250 @t249 @t248)) % 0.44/0.65 (define @t267 () (forall @t266 @t264)) % 0.44/0.65 (define @t268 () (forall @t266 @t263)) % 0.44/0.65 (define @t269 () (@var "BOUND_VARIABLE_8043" $$unsorted)) % 0.44/0.65 (define @t270 () (@var "BOUND_VARIABLE_8041" $$unsorted)) % 0.44/0.65 (define @t271 () (or @t221 @t268)) % 0.44/0.65 (define @t272 () (not (tptp.related @t9 @t270 @t269))) % 0.44/0.65 (define @t273 () (not (tptp.element @t269 @t15))) % 0.44/0.65 (define @t274 () (tptp.related @t2 @t270 @t269)) % 0.44/0.65 (define @t275 () (not (tptp.element @t269 @t18))) % 0.44/0.65 (define @t276 () (not (tptp.element @t270 @t15))) % 0.44/0.65 (define @t277 () (not (tptp.element @t270 @t18))) % 0.44/0.65 (define @t278 () (not @t19)) % 0.44/0.65 (define @t279 () (or @t278 @t277 @t276 @t275 @t274 @t273 @t272)) % 0.44/0.65 (define @t280 () (@list @t9 @t270 @t269)) % 0.44/0.65 (define @t281 () (forall @t280 @t279)) % 0.44/0.65 (define @t282 () (or @t277 @t276 @t275 @t274 @t273 @t272)) % 0.44/0.65 (define @t283 () (or @t278 @t282)) % 0.44/0.65 (define @t284 () (forall @t280 @t283)) % 0.44/0.65 (define @t285 () (@list @t270 @t269)) % 0.44/0.65 (define @t286 () (forall @t285 @t283)) % 0.44/0.65 (define @t287 () (forall @t285 @t282)) % 0.44/0.65 (define @t288 () (@var "BOUND_VARIABLE_8022" $$unsorted)) % 0.44/0.65 (define @t289 () (or @t278 @t287)) % 0.44/0.65 (define @t290 () (not (tptp.related @t9 @t33 @t288))) % 0.44/0.65 (define @t291 () (not (tptp.element @t288 @t15))) % 0.44/0.65 (define @t292 () (tptp.related @t2 @t33 @t288)) % 0.44/0.65 (define @t293 () (not (tptp.element @t288 @t18))) % 0.44/0.65 (define @t294 () (not (tptp.element @t33 @t15))) % 0.44/0.65 (define @t295 () (or @t170 @t294 @t293 @t292 @t291 @t290)) % 0.44/0.65 (define @t296 () (@list @t33 @t288)) % 0.44/0.65 (define @t297 () (forall @t296 @t295)) % 0.44/0.65 (define @t298 () (or @t293 @t292 @t291 @t290)) % 0.44/0.65 (define @t299 () (or @t170 @t294 @t298)) % 0.44/0.65 (define @t300 () (forall @t296 @t299)) % 0.44/0.65 (define @t301 () (@list @t288)) % 0.44/0.65 (define @t302 () (forall @t301 @t299)) % 0.44/0.65 (define @t303 () (forall @t301 @t298)) % 0.44/0.65 (define @t304 () (or @t170 @t294 @t303)) % 0.44/0.65 (define @t305 () (not (tptp.related @t9 @t33 @t59))) % 0.44/0.65 (define @t306 () (not (tptp.element @t59 @t15))) % 0.44/0.65 (define @t307 () (or @t185 @t60 @t306 @t305)) % 0.44/0.65 (define @t308 () (forall @t77 @t307)) % 0.44/0.65 (define @t309 () (or @t170 @t294 @t308)) % 0.44/0.65 (define @t310 () (or @t294 @t308)) % 0.44/0.65 (define @t311 () (or @t294 @t307)) % 0.44/0.65 (define @t312 () (or @t185 @t60 @t306 @t294 @t305)) % 0.44/0.65 (define @t313 () (or @t60 @t306 @t294 @t305)) % 0.44/0.65 (define @t314 () (or @t294 @t305)) % 0.44/0.65 (define @t315 () (or @t294 @t194 @t305)) % 0.44/0.65 (define @t316 () (not (tptp.related @t9 @t62 @t59))) % 0.44/0.65 (define @t317 () (not @t71)) % 0.44/0.65 (define @t318 () (or @t197 @t317 @t197 @t316)) % 0.44/0.65 (define @t319 () (or @t317 @t197 @t316)) % 0.44/0.65 (define @t320 () (forall @t73 @t319)) % 0.44/0.65 (define @t321 () (or @t60 @t306 @t320)) % 0.44/0.65 (define @t322 () (or @t60 @t306 @t319)) % 0.44/0.65 (define @t323 () (or @t317 @t197 @t60 @t306 @t316)) % 0.44/0.65 (define @t324 () (or @t197 @t60 @t306 @t316)) % 0.44/0.65 (define @t325 () (or @t306 @t316)) % 0.44/0.65 (define @t326 () (not (= @t59 @t59))) % 0.44/0.65 (define @t327 () (or @t306 @t326 @t316)) % 0.44/0.65 (define @t328 () (not @t63)) % 0.44/0.65 (define @t329 () (not @t64)) % 0.44/0.65 (define @t330 () (not @t68)) % 0.44/0.65 (define @t331 () (or @t329 @t330 @t329 @t328)) % 0.44/0.65 (define @t332 () (or @t330 @t329 @t328)) % 0.44/0.65 (define @t333 () (forall @t69 @t332)) % 0.44/0.65 (define @t334 () (or @t197 @t60 @t333)) % 0.44/0.65 (define @t335 () (or @t197 @t60 @t332)) % 0.44/0.65 (define @t336 () (or @t330 @t197 @t329 @t328 @t60)) % 0.44/0.65 (define @t337 () (or @t197 @t329 @t328 @t60)) % 0.44/0.65 (define @t338 () (or @t197 @t329 @t328)) % 0.44/0.65 (define @t339 () (tptp.net_str @t240 @t241)) % 0.44/0.65 (define @t340 () (@quantifiers_skolemize @t239 4)) % 0.44/0.65 (define @t341 () (@quantifiers_skolemize @t239 3)) % 0.44/0.65 (define @t342 () (@quantifiers_skolemize @t239 2)) % 0.44/0.65 (define @t343 () (tptp.related @t342 @t341 @t340)) % 0.44/0.65 (define @t344 () (not @t343)) % 0.44/0.65 (define @t345 () (tptp.the_carrier @t342)) % 0.44/0.65 (define @t346 () (tptp.element @t340 @t345)) % 0.44/0.65 (define @t347 () (not @t346)) % 0.44/0.65 (define @t348 () (tptp.related @t240 @t341 @t340)) % 0.44/0.65 (define @t349 () (tptp.the_carrier @t240)) % 0.44/0.65 (define @t350 () (tptp.element @t340 @t349)) % 0.44/0.65 (define @t351 () (not @t350)) % 0.44/0.65 (define @t352 () (tptp.element @t341 @t345)) % 0.44/0.65 (define @t353 () (not @t352)) % 0.44/0.65 (define @t354 () (tptp.element @t341 @t349)) % 0.44/0.65 (define @t355 () (not @t354)) % 0.44/0.65 (define @t356 () (tptp.subnetstr @t342 @t241 @t240)) % 0.44/0.65 (define @t357 () (not @t356)) % 0.44/0.65 (define @t358 () (not @t339)) % 0.44/0.65 (define @t359 () (tptp.one_sorted_str @t241)) % 0.44/0.65 (define @t360 () (not @t359)) % 0.44/0.65 (define @t361 () (or @t360 @t358 @t357 @t355 @t353 @t351 @t348 @t347 @t344)) % 0.44/0.65 (define @t362 () (@list true)) % 0.44/0.65 (define @t363 () (@list @t361)) % 0.44/0.65 (define @t364 () (tptp.rel_str @t240)) % 0.44/0.65 (define @t365 () (or @t360 @t358 @t364)) % 0.44/0.65 (define @t366 () (@var "BOUND_VARIABLE_7737" $$unsorted)) % 0.44/0.65 (define @t367 () (@var "BOUND_VARIABLE_7735" $$unsorted)) % 0.44/0.65 (define @t368 () (= (tptp.subnetstr @t366 @t1 @t367) (and (tptp.subrelstr @t366 @t367) (= (tptp.the_mapping @t1 @t366) (tptp.relation_dom_restr_as_relation_of (tptp.the_carrier @t367) @t17 (tptp.the_mapping @t1 @t367) (tptp.the_carrier @t366)))))) % 0.44/0.65 (define @t369 () (not (tptp.net_str @t366 @t1))) % 0.44/0.65 (define @t370 () (not (tptp.net_str @t367 @t1))) % 0.44/0.65 (define @t371 () (or @t370 @t369 @t368)) % 0.44/0.65 (define @t372 () (or @t213 @t371)) % 0.44/0.65 (define @t373 () (forall (@list @t1 @t367 @t366) @t372)) % 0.44/0.65 (define @t374 () (@list @t367 @t366)) % 0.44/0.65 (define @t375 () (forall @t374 @t372)) % 0.44/0.65 (define @t376 () (forall @t374 @t371)) % 0.44/0.65 (define @t377 () (@var "BOUND_VARIABLE_7712" $$unsorted)) % 0.44/0.65 (define @t378 () (or @t213 @t376)) % 0.44/0.65 (define @t379 () (= (tptp.subnetstr @t377 @t1 @t2) (and (tptp.subrelstr @t377 @t2) (= (tptp.the_mapping @t1 @t377) (tptp.relation_dom_restr_as_relation_of @t18 @t17 @t16 (tptp.the_carrier @t377)))))) % 0.44/0.65 (define @t380 () (not (tptp.net_str @t377 @t1))) % 0.44/0.65 (define @t381 () (or @t221 @t380 @t379)) % 0.44/0.65 (define @t382 () (@list @t2 @t377)) % 0.44/0.65 (define @t383 () (forall @t382 @t381)) % 0.44/0.65 (define @t384 () (or @t380 @t379)) % 0.44/0.65 (define @t385 () (or @t221 @t384)) % 0.44/0.65 (define @t386 () (forall @t382 @t385)) % 0.44/0.65 (define @t387 () (@list @t377)) % 0.44/0.65 (define @t388 () (forall @t387 @t385)) % 0.44/0.65 (define @t389 () (forall @t387 @t384)) % 0.44/0.65 (define @t390 () (@list @t9)) % 0.44/0.65 (define @t391 () (or @t221 @t389)) % 0.44/0.65 (define @t392 () (forall @t22 (or (not @t21) @t20))) % 0.44/0.65 (define @t393 () (@list @t241 @t240 @t342)) % 0.44/0.65 (define @t394 () (@var "BOUND_VARIABLE_7817" $$unsorted)) % 0.44/0.65 (define @t395 () (tptp.net_str @t394 @t1)) % 0.44/0.65 (define @t396 () (not (tptp.subnetstr @t394 @t1 @t2))) % 0.44/0.65 (define @t397 () (or @t396 @t395)) % 0.44/0.65 (define @t398 () (or @t213 @t221 @t397)) % 0.44/0.65 (define @t399 () (forall (@list @t1 @t2 @t394) @t398)) % 0.44/0.65 (define @t400 () (@list @t394)) % 0.44/0.65 (define @t401 () (forall @t400 @t398)) % 0.44/0.65 (define @t402 () (forall @t400 @t397)) % 0.44/0.65 (define @t403 () (or @t213 @t221 @t402)) % 0.44/0.65 (define @t404 () (forall @t22 (or @t278 @t21))) % 0.44/0.65 (define @t405 () (or @t213 @t221 @t404)) % 0.44/0.65 (define @t406 () (tptp.net_str @t342 @t241)) % 0.44/0.65 (define @t407 () (or @t360 @t358 @t357 @t406)) % 0.44/0.65 (define @t408 () (@list false false false false)) % 0.44/0.65 (define @t409 () (tptp.subrelstr @t342 @t240)) % 0.44/0.65 (define @t410 () (and @t409 (= (tptp.the_mapping @t241 @t342) (tptp.relation_dom_restr_as_relation_of @t349 (tptp.the_carrier @t241) (tptp.the_mapping @t241 @t240) @t345)))) % 0.44/0.65 (define @t411 () (= @t356 @t410)) % 0.44/0.65 (define @t412 () (not @t406)) % 0.44/0.65 (define @t413 () (or @t360 @t358 @t412 @t411)) % 0.44/0.65 (define @t414 () (not @t409)) % 0.44/0.65 (define @t415 () (not @t364)) % 0.44/0.65 (define @t416 () (or @t415 @t414 @t355 @t353 @t351 @t348 @t347 @t344)) % 0.44/0.65 (define @t417 () (not @t416)) % 0.44/0.65 (define @t418 () (forall @t127 @t124)) % 0.44/0.65 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.44/0.65 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.44/0.65 (assume @p3 (forall @t7 (=> @t6 @t8))) % 0.44/0.65 (assume @p4 (forall @t12 (=> @t11 (tptp.relation @t9)))) % 0.44/0.65 (assume @p5 (forall @t7 (=> @t14 @t13))) % 0.44/0.65 (assume @p6 @t30) % 0.44/0.65 (assume @p7 true) % 0.44/0.65 (assume @p8 (forall @t4 (=> @t8 @t32))) % 0.44/0.65 (assume @p9 (forall @t36 (=> @t35 (tptp.relation_of2_as_subset @t34 @t1 @t2)))) % 0.44/0.65 (assume @p10 (forall @t7 (=> @t37 @t28))) % 0.44/0.65 (assume @p11 @t41) % 0.44/0.65 (assume @p12 (forall @t7 (=> @t37 (forall @t26 (=> @t42 @t38))))) % 0.44/0.65 (assume @p13 @t46) % 0.44/0.65 (assume @p14 (forall @t12 (=> @t47 @t11))) % 0.44/0.65 (assume @p15 (forall @t4 (=> @t44 (and (tptp.function @t16) (tptp.quasi_total @t16 @t18 @t17) (tptp.relation_of2_as_subset @t16 @t18 @t17))))) % 0.44/0.65 (assume @p16 (exists @t7 @t37)) % 0.44/0.65 (assume @p17 (exists @t7 @t28)) % 0.44/0.65 (assume @p18 (forall @t7 (=> @t28 (exists @t26 @t24)))) % 0.44/0.65 (assume @p19 (forall @t4 (exists @t22 @t35))) % 0.44/0.65 (assume @p20 (forall @t7 (exists @t26 (tptp.element @t2 @t1)))) % 0.44/0.65 (assume @p21 (forall @t7 (=> @t37 (exists @t26 @t42)))) % 0.44/0.65 (assume @p22 (forall @t4 (=> @t44 (exists @t22 @t19)))) % 0.44/0.65 (assume @p23 (forall @t4 (exists @t22 @t47))) % 0.44/0.65 (assume @p24 (and @t49 @t48 (tptp.relation_empty_yielding tptp.empty_set))) % 0.44/0.65 (assume @p25 (forall @t4 (=> @t51 (and @t32 (tptp.relation_empty_yielding @t31))))) % 0.44/0.65 (assume @p26 (forall @t7 (not (tptp.empty @t52)))) % 0.44/0.65 (assume @p27 (forall @t4 (=> @t53 (and @t32 (tptp.function @t31))))) % 0.44/0.65 (assume @p28 (and @t49 @t48)) % 0.44/0.65 (assume @p29 (forall @t4 (=> (and @t56 @t55) (not (tptp.empty @t10))))) % 0.44/0.65 (assume @p30 (exists @t7 @t53)) % 0.44/0.65 (assume @p31 (exists @t7 (and @t8 @t50 @t5))) % 0.44/0.65 (assume @p32 (exists @t7 (and @t6 @t8))) % 0.44/0.65 (assume @p33 (forall @t7 (=> @t56 (exists @t26 (and @t57 @t55))))) % 0.44/0.65 (assume @p34 (exists @t7 @t14)) % 0.44/0.65 (assume @p35 (exists @t7 (and @t56 @t8))) % 0.44/0.65 (assume @p36 (forall @t7 (exists @t26 (and @t57 @t54)))) % 0.44/0.65 (assume @p37 (exists @t7 @t13)) % 0.44/0.65 (assume @p38 (exists @t7 @t51)) % 0.44/0.65 (assume @p39 (forall @t36 (=> @t35 (= @t34 (tptp.relation_dom_restriction @t9 @t33))))) % 0.44/0.65 (assume @p40 (forall @t12 (= @t47 @t35))) % 0.44/0.65 (assume @p41 (forall @t4 (tptp.subset @t1 @t1))) % 0.44/0.65 (assume @p42 (forall @t4 (=> @t3 @t58))) % 0.44/0.65 (assume @p43 @t89) % 0.44/0.65 (assume @p44 (forall @t4 (=> @t58 (or @t54 @t3)))) % 0.44/0.65 (assume @p45 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.44/0.65 (assume @p46 (forall @t12 (=> (and @t3 @t90) (tptp.element @t1 @t9)))) % 0.44/0.65 (assume @p47 (forall @t12 (not (and @t3 @t90 (tptp.empty @t9))))) % 0.44/0.65 (assume @p48 @t111) % 0.44/0.65 (assume @p49 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.44/0.65 (assume @p50 (forall @t4 (not (and @t3 @t54)))) % 0.44/0.65 (assume @p51 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t54)))) % 0.44/0.65 (step @p52 :rule aci_norm :args ((= @t126 @t124))) % 0.44/0.65 (step @p53 :rule cong :premises (@p52) :args (@t128)) % 0.44/0.65 (step @p54 :rule quant-merge-prenex :args ((= (forall @t7 @t130) @t128))) % 0.44/0.65 (step @p55 :rule alpha_equiv :args (@t131 (@list @t114 @t113 @t112) (@list @t2 @t133 @t132))) % 0.44/0.65 (step @p56 :rule refl :args (@t123)) % 0.44/0.65 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t134)) % 0.44/0.65 (step @p58 :rule quant-miniscope-or :args ((= @t130 @t134))) % 0.44/0.65 (step @p59 :rule trans :premises (@p58 @p57)) % 0.44/0.65 (step @p60 :rule symm :premises (@p59)) % 0.44/0.65 (step @p61 :rule cong :premises (@p60) :args ((forall @t7 (or @t123 @t144)))) % 0.44/0.65 (step @p62 :rule trans :premises (@p61 @p54)) % 0.44/0.65 (step @p63 :rule trans :premises (@p62 @p53)) % 0.44/0.65 (step @p64 :rule bool-impl-elim :args (@t37 @t144)) % 0.44/0.65 (step @p65 :rule cong :premises (@p64) :args ((forall @t7 (=> @t37 @t144)))) % 0.44/0.65 (step @p66 :rule trans :premises (@p65 @p63)) % 0.44/0.65 (step @p67 :rule aci_norm :args ((= @t146 @t142))) % 0.44/0.65 (step @p68 :rule cong :premises (@p67) :args (@t147)) % 0.44/0.65 (step @p69 :rule quant-merge-prenex :args ((= (forall @t26 @t149) @t147))) % 0.44/0.65 (step @p70 :rule alpha_equiv :args (@t150 (@list @t133 @t132) (@list @t9 @t151))) % 0.44/0.65 (step @p71 :rule refl :args (@t141)) % 0.44/0.65 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t152)) % 0.44/0.65 (step @p73 :rule quant-miniscope-or :args ((= @t149 @t152))) % 0.44/0.65 (step @p74 :rule trans :premises (@p73 @p72)) % 0.44/0.65 (step @p75 :rule symm 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cnf_or_neg :args (@t361 6)) % 0.44/0.65 (step @p530 :rule chain_m_resolution :premises (@p529 @p416) :args ((not @t348) @t362 @t363)) % 0.44/0.65 (step @p531 :rule bool-double-not-elim :args (@t350)) % 0.44/0.65 (step @p532 :rule nary_cong :premises (@p418 @p531) :args ((or @t361 (not @t351)))) % 0.44/0.65 (step @p533 :rule cnf_or_neg :args (@t361 5)) % 0.44/0.65 (step @p534 :rule eq_resolve :premises (@p533 @p532)) % 0.44/0.65 (step @p535 :rule reordering :premises (@p534) :args ((or @t350 @t361))) % 0.44/0.65 (step @p536 :rule chain_m_resolution :premises (@p535 @p416) :args (@t350 @t362 @t363)) % 0.44/0.65 (step @p537 :rule bool-double-not-elim :args (@t352)) % 0.44/0.65 (step @p538 :rule nary_cong :premises (@p418 @p537) :args ((or @t361 (not @t353)))) % 0.44/0.65 (step @p539 :rule cnf_or_neg :args (@t361 4)) % 0.44/0.65 (step @p540 :rule eq_resolve :premises (@p539 @p538)) % 0.44/0.65 (step @p541 :rule reordering :premises (@p540) :args ((or @t352 @t361))) % 0.44/0.65 (step @p542 :rule chain_m_resolution :premises (@p541 @p416) :args (@t352 @t362 @t363)) % 0.44/0.65 (step @p543 :rule bool-double-not-elim :args (@t354)) % 0.44/0.65 (step @p544 :rule nary_cong :premises (@p418 @p543) :args ((or @t361 (not @t355)))) % 0.44/0.65 (step @p545 :rule cnf_or_neg :args (@t361 3)) % 0.44/0.65 (step @p546 :rule eq_resolve :premises (@p545 @p544)) % 0.44/0.65 (step @p547 :rule reordering :premises (@p546) :args ((or @t354 @t361))) % 0.44/0.65 (step @p548 :rule chain_m_resolution :premises (@p547 @p416) :args (@t354 @t362 @t363)) % 0.44/0.65 (step @p549 :rule cnf_or_pos :args (@t416)) % 0.44/0.65 (step @p550 :rule reordering :premises (@p549) :args ((or @t355 @t353 @t351 @t348 @t347 @t344 @t414 @t415 @t417))) % 0.44/0.65 (step @p551 :rule chain_m_resolution :premises (@p550 @p548 @p542 @p536 @p530 @p528 @p522 @p516 @p432) :args (@t417 (@list false false false true false false false false) (@list @t354 @t352 @t350 @t348 @t346 @t343 @t409 @t364))) % 0.44/0.65 (assume-push @p558 @t418) % 0.44/0.65 (step @p553 :rule instantiate :premises (@p221) :args ((@list @t240 @t342 @t341 @t340))) % 0.44/0.65 (step-pop @p559 :rule scope :premises (@p553)) % 0.44/0.65 (step @p554 :rule process_scope :premises (@p559) :args (@t416)) % 0.44/0.65 (step @p556 :rule implies_elim :premises (@p554)) % 0.44/0.65 (step @p557 false :rule chain_m_resolution :premises (@p556 @p551 @p221) :args (false (@list true false) (@list @t416 @t418))) % 0.44/0.65 ) % 0.44/0.65 % SZS output end Proof % 0.44/0.65 % cvc5 exiting %------------------------------------------------------------------------------