%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU362+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:51:31 AM UTC 2026 % Result : Theorem 0.47s 0.68s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU362+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n023.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 17:02:13 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.47/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.47/0.68 % SZS status Theorem % 0.47/0.68 % SZS output start Proof % 0.47/0.68 ( % 0.47/0.68 (declare-sort $$unsorted 0) % 0.47/0.68 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.68 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.68 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.47/0.68 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.47/0.68 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.47/0.68 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.68 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.47/0.68 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.47/0.68 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.47/0.68 (declare-const tptp.empty_set $$unsorted) % 0.47/0.68 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.47/0.68 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 0.47/0.68 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.47/0.68 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.47/0.68 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.47/0.68 (declare-const tptp.subrelstr (-> $$unsorted $$unsorted Bool)) % 0.47/0.68 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.47/0.68 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 0.47/0.68 (define @t1 () (@var "A" $$unsorted)) % 0.47/0.68 (define @t2 () (@var "B" $$unsorted)) % 0.47/0.68 (define @t3 () (tptp.in @t1 @t2)) % 0.47/0.68 (define @t4 () (@list @t1 @t2)) % 0.47/0.68 (define @t5 () (tptp.finite @t1)) % 0.47/0.68 (define @t6 () (tptp.empty @t1)) % 0.47/0.68 (define @t7 () (@list @t1)) % 0.47/0.68 (define @t8 () (@var "C" $$unsorted)) % 0.47/0.68 (define @t9 () (tptp.cartesian_product2 @t1 @t2)) % 0.47/0.68 (define @t10 () (tptp.element @t8 (tptp.powerset @t9))) % 0.47/0.68 (define @t11 () (@list @t1 @t2 @t8)) % 0.47/0.68 (define @t12 () (tptp.finite @t2)) % 0.47/0.68 (define @t13 () (tptp.element @t2 (tptp.powerset @t1))) % 0.47/0.68 (define @t14 () (@list @t2)) % 0.47/0.68 (define @t15 () (tptp.the_InternalRel @t1)) % 0.47/0.68 (define @t16 () (tptp.the_carrier @t1)) % 0.47/0.68 (define @t17 () (tptp.the_carrier @t2)) % 0.47/0.68 (define @t18 () (tptp.subrelstr @t2 @t1)) % 0.47/0.68 (define @t19 () (= @t18 (and (tptp.subset @t17 @t16) (tptp.subset (tptp.the_InternalRel @t2) @t15)))) % 0.47/0.68 (define @t20 () (tptp.rel_str @t2)) % 0.47/0.68 (define @t21 () (forall @t14 (=> @t20 @t19))) % 0.47/0.68 (define @t22 () (tptp.rel_str @t1)) % 0.47/0.68 (define @t23 () (=> @t22 @t21)) % 0.47/0.68 (define @t24 () (forall @t7 @t23)) % 0.47/0.68 (define @t25 () (= (tptp.related @t1 @t2 @t8) (tptp.in (tptp.ordered_pair @t2 @t8) @t15))) % 0.47/0.68 (define @t26 () (tptp.element @t8 @t16)) % 0.47/0.68 (define @t27 () (@list @t8)) % 0.47/0.68 (define @t28 () (forall @t27 (=> @t26 @t25))) % 0.47/0.68 (define @t29 () (tptp.element @t2 @t16)) % 0.47/0.68 (define @t30 () (=> @t29 @t28)) % 0.47/0.68 (define @t31 () (forall @t14 @t30)) % 0.47/0.68 (define @t32 () (=> @t22 @t31)) % 0.47/0.68 (define @t33 () (forall @t7 @t32)) % 0.47/0.68 (define @t34 () (tptp.one_sorted_str @t1)) % 0.47/0.68 (define @t35 () (forall @t14 (=> @t18 @t20))) % 0.47/0.68 (define @t36 () (=> @t22 @t35)) % 0.47/0.68 (define @t37 () (forall @t7 @t36)) % 0.47/0.68 (define @t38 () (tptp.relation_of2_as_subset @t8 @t1 @t2)) % 0.47/0.68 (define @t39 () (tptp.relation_of2 @t8 @t1 @t2)) % 0.47/0.68 (define @t40 () (not @t6)) % 0.47/0.68 (define @t41 () (tptp.empty @t2)) % 0.47/0.68 (define @t42 () (tptp.element @t1 @t2)) % 0.47/0.68 (define @t43 () (or @t41 @t3)) % 0.47/0.68 (define @t44 () (forall @t4 (=> @t42 @t43))) % 0.47/0.68 (define @t45 () (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.47/0.68 (define @t46 () (tptp.element @t1 @t8)) % 0.47/0.68 (define @t47 () (tptp.element @t2 (tptp.powerset @t8))) % 0.47/0.68 (define @t48 () (and @t3 @t47)) % 0.47/0.68 (define @t49 () (forall @t11 (=> @t48 @t46))) % 0.47/0.68 (define @t50 () (tptp.empty @t8)) % 0.47/0.68 (define @t51 () (forall @t11 (not (and @t3 @t47 @t50)))) % 0.47/0.68 (define @t52 () (@var "D" $$unsorted)) % 0.47/0.68 (define @t53 () (tptp.related @t1 @t8 @t52)) % 0.47/0.68 (define @t54 () (@var "F" $$unsorted)) % 0.47/0.68 (define @t55 () (@var "E" $$unsorted)) % 0.47/0.68 (define @t56 () (tptp.related @t2 @t55 @t54)) % 0.47/0.68 (define @t57 () (= @t54 @t52)) % 0.47/0.68 (define @t58 () (= @t55 @t8)) % 0.47/0.68 (define @t59 () (and @t58 @t57 @t56)) % 0.47/0.68 (define @t60 () (=> @t59 @t53)) % 0.47/0.68 (define @t61 () (tptp.element @t54 @t17)) % 0.47/0.68 (define @t62 () (=> @t61 @t60)) % 0.47/0.68 (define @t63 () (@list @t54)) % 0.47/0.68 (define @t64 () (forall @t63 @t62)) % 0.47/0.68 (define @t65 () (tptp.element @t55 @t17)) % 0.47/0.68 (define @t66 () (=> @t65 @t64)) % 0.47/0.68 (define @t67 () (@list @t55)) % 0.47/0.68 (define @t68 () (forall @t67 @t66)) % 0.47/0.68 (define @t69 () (tptp.element @t52 @t16)) % 0.47/0.68 (define @t70 () (=> @t69 @t68)) % 0.47/0.68 (define @t71 () (@list @t52)) % 0.47/0.68 (define @t72 () (forall @t71 @t70)) % 0.47/0.68 (define @t73 () (=> @t26 @t72)) % 0.47/0.68 (define @t74 () (forall @t27 @t73)) % 0.47/0.68 (define @t75 () (=> @t18 @t74)) % 0.47/0.68 (define @t76 () (forall @t14 @t75)) % 0.47/0.68 (define @t77 () (=> @t22 @t76)) % 0.47/0.68 (define @t78 () (forall @t7 @t77)) % 0.47/0.68 (define @t79 () (not @t78)) % 0.47/0.68 (define @t80 () (not @t50)) % 0.47/0.68 (define @t81 () (not @t47)) % 0.47/0.68 (define @t82 () (not @t3)) % 0.47/0.68 (define @t83 () (or @t82 @t81 @t80)) % 0.47/0.68 (define @t84 () (@var "BOUND_VARIABLE_7912" $$unsorted)) % 0.47/0.68 (define @t85 () (@var "BOUND_VARIABLE_7910" $$unsorted)) % 0.47/0.68 (define @t86 () (@var "BOUND_VARIABLE_7908" $$unsorted)) % 0.47/0.68 (define @t87 () (not (tptp.related @t86 @t85 @t84))) % 0.47/0.68 (define @t88 () (tptp.the_carrier @t86)) % 0.47/0.68 (define @t89 () (not (tptp.element @t84 @t88))) % 0.47/0.68 (define @t90 () (tptp.related @t1 @t85 @t84)) % 0.47/0.68 (define @t91 () (not (tptp.element @t84 @t16))) % 0.47/0.68 (define @t92 () (not (tptp.element @t85 @t88))) % 0.47/0.68 (define @t93 () (not (tptp.element @t85 @t16))) % 0.47/0.68 (define @t94 () (not (tptp.subrelstr @t86 @t1))) % 0.47/0.68 (define @t95 () (not @t22)) % 0.47/0.68 (define @t96 () (or @t95 @t94 @t93 @t92 @t91 @t90 @t89 @t87)) % 0.47/0.68 (define @t97 () (@list @t1 @t86 @t85 @t84)) % 0.47/0.68 (define @t98 () (forall @t97 @t96)) % 0.47/0.68 (define @t99 () (@quantifiers_skolemize @t98 0)) % 0.47/0.68 (define @t100 () (tptp.the_InternalRel @t99)) % 0.47/0.68 (define @t101 () (@quantifiers_skolemize @t98 1)) % 0.47/0.68 (define @t102 () (tptp.the_InternalRel @t101)) % 0.47/0.68 (define @t103 () (tptp.element @t102 (tptp.powerset @t100))) % 0.47/0.68 (define @t104 () (tptp.subset @t102 @t100)) % 0.47/0.68 (define @t105 () (= @t103 @t104)) % 0.47/0.68 (define @t106 () (= @t104 @t103)) % 0.47/0.68 (define @t107 () (@list false)) % 0.47/0.68 (define @t108 () (@var "BOUND_VARIABLE_7632" $$unsorted)) % 0.47/0.68 (define @t109 () (= (tptp.subrelstr @t108 @t1) (and (tptp.subset (tptp.the_carrier @t108) @t16) (tptp.subset (tptp.the_InternalRel @t108) @t15)))) % 0.47/0.68 (define @t110 () (not (tptp.rel_str @t108))) % 0.47/0.68 (define @t111 () (or @t110 @t109)) % 0.47/0.68 (define @t112 () (or @t95 @t111)) % 0.47/0.68 (define @t113 () (forall (@list @t1 @t108) @t112)) % 0.47/0.68 (define @t114 () (@list @t108)) % 0.47/0.68 (define @t115 () (forall @t114 @t112)) % 0.47/0.68 (define @t116 () (forall @t114 @t111)) % 0.47/0.68 (define @t117 () (@list @t2)) % 0.47/0.68 (define @t118 () (or @t95 @t116)) % 0.47/0.68 (define @t119 () (forall @t14 (or (not @t20) @t19))) % 0.47/0.68 (define @t120 () (@list @t99 @t101)) % 0.47/0.68 (define @t121 () (@var "BOUND_VARIABLE_7705" $$unsorted)) % 0.47/0.68 (define @t122 () (tptp.rel_str @t121)) % 0.47/0.68 (define @t123 () (not (tptp.subrelstr @t121 @t1))) % 0.47/0.68 (define @t124 () (or @t123 @t122)) % 0.47/0.68 (define @t125 () (or @t95 @t124)) % 0.47/0.68 (define @t126 () (forall (@list @t1 @t121) @t125)) % 0.47/0.68 (define @t127 () (@list @t121)) % 0.47/0.68 (define @t128 () (forall @t127 @t125)) % 0.47/0.68 (define @t129 () (forall @t127 @t124)) % 0.47/0.68 (define @t130 () (or @t95 @t129)) % 0.47/0.68 (define @t131 () (not @t18)) % 0.47/0.68 (define @t132 () (forall @t14 (or @t131 @t20))) % 0.47/0.68 (define @t133 () (or @t94 @t93 @t92 @t91 @t90 @t89 @t87)) % 0.47/0.68 (define @t134 () (or @t95 @t133)) % 0.47/0.68 (define @t135 () (forall @t97 @t134)) % 0.47/0.68 (define @t136 () (@list @t86 @t85 @t84)) % 0.47/0.68 (define @t137 () (forall @t136 @t134)) % 0.47/0.68 (define @t138 () (forall @t136 @t133)) % 0.47/0.68 (define @t139 () (@var "BOUND_VARIABLE_7885" $$unsorted)) % 0.47/0.68 (define @t140 () (@var "BOUND_VARIABLE_7883" $$unsorted)) % 0.47/0.68 (define @t141 () (or @t95 @t138)) % 0.47/0.68 (define @t142 () (not (tptp.related @t2 @t140 @t139))) % 0.47/0.68 (define @t143 () (not (tptp.element @t139 @t17))) % 0.47/0.68 (define @t144 () (tptp.related @t1 @t140 @t139)) % 0.47/0.68 (define @t145 () (not (tptp.element @t139 @t16))) % 0.47/0.68 (define @t146 () (not (tptp.element @t140 @t17))) % 0.47/0.68 (define @t147 () (not (tptp.element @t140 @t16))) % 0.47/0.68 (define @t148 () (or @t131 @t147 @t146 @t145 @t144 @t143 @t142)) % 0.47/0.68 (define @t149 () (@list @t2 @t140 @t139)) % 0.47/0.68 (define @t150 () (forall @t149 @t148)) % 0.47/0.68 (define @t151 () (or @t147 @t146 @t145 @t144 @t143 @t142)) % 0.47/0.68 (define @t152 () (or @t131 @t151)) % 0.47/0.68 (define @t153 () (forall @t149 @t152)) % 0.47/0.68 (define @t154 () (@list @t140 @t139)) % 0.47/0.68 (define @t155 () (forall @t154 @t152)) % 0.47/0.68 (define @t156 () (forall @t154 @t151)) % 0.47/0.68 (define @t157 () (@var "BOUND_VARIABLE_7864" $$unsorted)) % 0.47/0.68 (define @t158 () (or @t131 @t156)) % 0.47/0.68 (define @t159 () (not (tptp.related @t2 @t8 @t157))) % 0.47/0.68 (define @t160 () (not (tptp.element @t157 @t17))) % 0.47/0.68 (define @t161 () (tptp.related @t1 @t8 @t157)) % 0.47/0.68 (define @t162 () (not (tptp.element @t157 @t16))) % 0.47/0.68 (define @t163 () (not (tptp.element @t8 @t17))) % 0.47/0.68 (define @t164 () (not @t26)) % 0.47/0.68 (define @t165 () (or @t164 @t163 @t162 @t161 @t160 @t159)) % 0.47/0.68 (define @t166 () (@list @t8 @t157)) % 0.47/0.68 (define @t167 () (forall @t166 @t165)) % 0.47/0.68 (define @t168 () (or @t162 @t161 @t160 @t159)) % 0.47/0.68 (define @t169 () (or @t164 @t163 @t168)) % 0.47/0.68 (define @t170 () (forall @t166 @t169)) % 0.47/0.68 (define @t171 () (@list @t157)) % 0.47/0.68 (define @t172 () (forall @t171 @t169)) % 0.47/0.68 (define @t173 () (forall @t171 @t168)) % 0.47/0.68 (define @t174 () (or @t164 @t163 @t173)) % 0.47/0.68 (define @t175 () (not (tptp.related @t2 @t8 @t52))) % 0.47/0.68 (define @t176 () (not (tptp.element @t52 @t17))) % 0.47/0.68 (define @t177 () (not @t69)) % 0.47/0.68 (define @t178 () (or @t177 @t53 @t176 @t175)) % 0.47/0.68 (define @t179 () (forall @t71 @t178)) % 0.47/0.68 (define @t180 () (or @t164 @t163 @t179)) % 0.47/0.68 (define @t181 () (or @t163 @t179)) % 0.47/0.68 (define @t182 () (or @t163 @t178)) % 0.47/0.68 (define @t183 () (or @t177 @t53 @t176 @t163 @t175)) % 0.47/0.68 (define @t184 () (or @t53 @t176 @t163 @t175)) % 0.47/0.68 (define @t185 () (or @t163 @t175)) % 0.47/0.68 (define @t186 () (not (= @t8 @t8))) % 0.47/0.68 (define @t187 () (or @t163 @t186 @t175)) % 0.47/0.68 (define @t188 () (not (tptp.related @t2 @t55 @t52))) % 0.47/0.68 (define @t189 () (= @t8 @t55)) % 0.47/0.68 (define @t190 () (not @t189)) % 0.47/0.68 (define @t191 () (not @t65)) % 0.47/0.68 (define @t192 () (or @t190 @t191 @t190 @t188)) % 0.47/0.68 (define @t193 () (or @t191 @t190 @t188)) % 0.47/0.68 (define @t194 () (forall @t67 @t193)) % 0.47/0.68 (define @t195 () (or @t53 @t176 @t194)) % 0.47/0.68 (define @t196 () (or @t53 @t176 @t193)) % 0.47/0.68 (define @t197 () (or @t191 @t190 @t53 @t176 @t188)) % 0.47/0.68 (define @t198 () (or @t190 @t53 @t176 @t188)) % 0.47/0.68 (define @t199 () (or @t176 @t188)) % 0.47/0.68 (define @t200 () (not (= @t52 @t52))) % 0.47/0.68 (define @t201 () (or @t176 @t200 @t188)) % 0.47/0.68 (define @t202 () (not @t56)) % 0.47/0.68 (define @t203 () (= @t52 @t54)) % 0.47/0.68 (define @t204 () (not @t203)) % 0.47/0.68 (define @t205 () (not @t61)) % 0.47/0.68 (define @t206 () (or @t204 @t205 @t204 @t202)) % 0.47/0.68 (define @t207 () (or @t205 @t204 @t202)) % 0.47/0.68 (define @t208 () (forall @t63 @t207)) % 0.47/0.68 (define @t209 () (or @t190 @t53 @t208)) % 0.47/0.68 (define @t210 () (or @t190 @t53 @t207)) % 0.47/0.68 (define @t211 () (or @t205 @t190 @t204 @t202 @t53)) % 0.47/0.68 (define @t212 () (or @t190 @t204 @t202 @t53)) % 0.47/0.68 (define @t213 () (or @t190 @t204 @t202)) % 0.47/0.68 (define @t214 () (and @t189 @t203 @t56)) % 0.47/0.68 (define @t215 () (=> @t214 @t53)) % 0.47/0.68 (define @t216 () (tptp.subrelstr @t101 @t99)) % 0.47/0.68 (define @t217 () (@quantifiers_skolemize @t98 3)) % 0.47/0.68 (define @t218 () (@quantifiers_skolemize @t98 2)) % 0.47/0.68 (define @t219 () (tptp.related @t101 @t218 @t217)) % 0.47/0.68 (define @t220 () (not @t219)) % 0.47/0.68 (define @t221 () (tptp.the_carrier @t101)) % 0.47/0.68 (define @t222 () (tptp.element @t217 @t221)) % 0.47/0.68 (define @t223 () (not @t222)) % 0.47/0.68 (define @t224 () (tptp.related @t99 @t218 @t217)) % 0.47/0.68 (define @t225 () (tptp.the_carrier @t99)) % 0.47/0.68 (define @t226 () (tptp.element @t217 @t225)) % 0.47/0.68 (define @t227 () (not @t226)) % 0.47/0.68 (define @t228 () (tptp.element @t218 @t221)) % 0.47/0.68 (define @t229 () (not @t228)) % 0.47/0.68 (define @t230 () (tptp.element @t218 @t225)) % 0.47/0.68 (define @t231 () (not @t230)) % 0.47/0.68 (define @t232 () (not @t216)) % 0.47/0.68 (define @t233 () (tptp.rel_str @t99)) % 0.47/0.68 (define @t234 () (not @t233)) % 0.47/0.68 (define @t235 () (or @t234 @t232 @t231 @t229 @t227 @t224 @t223 @t220)) % 0.47/0.68 (define @t236 () (@list true)) % 0.47/0.68 (define @t237 () (@list @t235)) % 0.47/0.68 (define @t238 () (tptp.rel_str @t101)) % 0.47/0.68 (define @t239 () (or @t234 @t232 @t238)) % 0.47/0.68 (define @t240 () (@list false false false)) % 0.47/0.68 (define @t241 () (and (tptp.subset @t221 @t225) @t104)) % 0.47/0.68 (define @t242 () (= @t216 @t241)) % 0.47/0.68 (define @t243 () (not @t238)) % 0.47/0.68 (define @t244 () (or @t234 @t243 @t242)) % 0.47/0.68 (define @t245 () (@list false false)) % 0.47/0.68 (define @t246 () (not @t42)) % 0.47/0.68 (define @t247 () (tptp.ordered_pair @t218 @t217)) % 0.47/0.68 (define @t248 () (@list @t247 @t102 @t100)) % 0.47/0.68 (define @t249 () (@var "BOUND_VARIABLE_7678" $$unsorted)) % 0.47/0.68 (define @t250 () (@var "BOUND_VARIABLE_7676" $$unsorted)) % 0.47/0.68 (define @t251 () (= (tptp.related @t1 @t250 @t249) (tptp.in (tptp.ordered_pair @t250 @t249) @t15))) % 0.47/0.68 (define @t252 () (not (tptp.element @t249 @t16))) % 0.47/0.68 (define @t253 () (not (tptp.element @t250 @t16))) % 0.47/0.68 (define @t254 () (or @t253 @t252 @t251)) % 0.47/0.68 (define @t255 () (or @t95 @t254)) % 0.47/0.68 (define @t256 () (forall (@list @t1 @t250 @t249) @t255)) % 0.47/0.68 (define @t257 () (@list @t250 @t249)) % 0.47/0.68 (define @t258 () (forall @t257 @t255)) % 0.47/0.68 (define @t259 () (forall @t257 @t254)) % 0.47/0.68 (define @t260 () (@var "BOUND_VARIABLE_7658" $$unsorted)) % 0.47/0.68 (define @t261 () (or @t95 @t259)) % 0.47/0.68 (define @t262 () (= (tptp.related @t1 @t2 @t260) (tptp.in (tptp.ordered_pair @t2 @t260) @t15))) % 0.47/0.68 (define @t263 () (not (tptp.element @t260 @t16))) % 0.47/0.68 (define @t264 () (not @t29)) % 0.47/0.68 (define @t265 () (or @t264 @t263 @t262)) % 0.47/0.68 (define @t266 () (@list @t2 @t260)) % 0.47/0.68 (define @t267 () (forall @t266 @t265)) % 0.47/0.68 (define @t268 () (or @t263 @t262)) % 0.47/0.68 (define @t269 () (or @t264 @t268)) % 0.47/0.68 (define @t270 () (forall @t266 @t269)) % 0.47/0.68 (define @t271 () (@list @t260)) % 0.47/0.68 (define @t272 () (forall @t271 @t269)) % 0.47/0.68 (define @t273 () (forall @t271 @t268)) % 0.47/0.68 (define @t274 () (or @t264 @t273)) % 0.47/0.68 (define @t275 () (forall @t27 (or @t164 @t25))) % 0.47/0.68 (define @t276 () (tptp.in @t247 @t102)) % 0.47/0.68 (define @t277 () (= @t219 @t276)) % 0.47/0.68 (define @t278 () (or @t243 @t229 @t223 @t277)) % 0.47/0.68 (define @t279 () (@list false false false false)) % 0.47/0.68 (define @t280 () (tptp.element @t247 @t100)) % 0.47/0.68 (define @t281 () (not @t103)) % 0.47/0.68 (define @t282 () (not @t276)) % 0.47/0.68 (define @t283 () (or @t282 @t281 @t280)) % 0.47/0.68 (define @t284 () (tptp.in @t247 @t100)) % 0.47/0.68 (define @t285 () (= @t224 @t284)) % 0.47/0.68 (define @t286 () (or @t234 @t231 @t227 @t285)) % 0.47/0.68 (define @t287 () (not @t284)) % 0.47/0.68 (define @t288 () (@list true false)) % 0.47/0.68 (define @t289 () (tptp.empty @t100)) % 0.47/0.68 (define @t290 () (not @t280)) % 0.47/0.68 (define @t291 () (or @t290 @t289 @t284)) % 0.47/0.68 (define @t292 () (not @t289)) % 0.47/0.68 (define @t293 () (or @t282 @t281 @t292)) % 0.47/0.68 (define @t294 () (not @t293)) % 0.47/0.68 (define @t295 () (forall @t11 @t83)) % 0.47/0.68 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.47/0.68 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.47/0.68 (assume @p3 (forall @t11 (=> @t10 (tptp.relation @t8)))) % 0.47/0.68 (assume @p4 (forall @t7 (=> @t5 (forall @t14 (=> @t13 @t12))))) % 0.47/0.68 (assume @p5 @t24) % 0.47/0.68 (assume @p6 @t33) % 0.47/0.68 (assume @p7 true) % 0.47/0.68 (assume @p8 (forall @t7 (=> @t22 @t34))) % 0.47/0.68 (assume @p9 @t37) % 0.47/0.68 (assume @p10 (forall @t11 (=> @t38 @t10))) % 0.47/0.68 (assume @p11 (forall @t7 (=> @t22 (tptp.relation_of2_as_subset @t15 @t16 @t16)))) % 0.47/0.68 (assume @p12 (exists @t7 @t22)) % 0.47/0.68 (assume @p13 (exists @t7 @t34)) % 0.47/0.68 (assume @p14 (forall @t4 (exists @t27 @t39))) % 0.47/0.68 (assume @p15 (forall @t7 (exists @t14 (tptp.element @t2 @t1)))) % 0.47/0.68 (assume @p16 (forall @t7 (=> @t22 (exists @t14 @t18)))) % 0.47/0.68 (assume @p17 (forall @t4 (exists @t27 @t38))) % 0.47/0.68 (assume @p18 (forall @t4 (=> (and @t5 @t12) (tptp.finite @t9)))) % 0.47/0.68 (assume @p19 (tptp.empty tptp.empty_set)) % 0.47/0.68 (assume @p20 (exists @t7 (and @t40 @t5))) % 0.47/0.68 (assume @p21 (exists @t7 @t6)) % 0.47/0.68 (assume @p22 (exists @t7 @t40)) % 0.47/0.68 (assume @p23 (forall @t7 (=> @t40 (exists @t14 (and @t13 (not @t41) @t12))))) % 0.47/0.68 (assume @p24 (forall @t11 (= @t38 @t39))) % 0.47/0.68 (assume @p25 (forall @t4 (tptp.subset @t1 @t1))) % 0.47/0.68 (assume @p26 (forall @t4 (=> @t3 @t42))) % 0.47/0.68 (assume @p27 @t44) % 0.47/0.68 (assume @p28 @t45) % 0.47/0.68 (assume @p29 @t49) % 0.47/0.68 (assume @p30 @t51) % 0.47/0.68 (assume @p31 @t79) % 0.47/0.68 (assume @p32 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.47/0.68 (assume @p33 (forall @t4 (not (and @t3 @t41)))) % 0.47/0.68 (assume @p34 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t41)))) % 0.47/0.68 (step @p35 :rule aci_norm :args ((= (or @t82 (or @t81 @t80)) @t83))) % 0.47/0.68 (step @p36 :rule bool-and-de-morgan :args (@t47 @t50 true)) % 0.47/0.68 (step @p37 :rule refl :args (@t82)) % 0.47/0.68 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t82 (not (and @t47 @t50))))) % 0.47/0.68 (step @p39 :rule bool-and-de-morgan :args (@t3 @t47 (and @t50))) % 0.47/0.68 (step @p40 :rule trans :premises (@p39 @p38)) % 0.47/0.68 (step @p41 :rule trans :premises (@p40 @p35)) % 0.47/0.68 (step @p42 :rule cong :premises (@p41) :args (@t51)) % 0.47/0.68 (step @p43 :rule eq_resolve :premises (@p30 @p42)) % 0.47/0.68 (step @p44 :rule eq-symm :args (@t103 @t104)) % 0.47/0.68 (step @p45 :rule refl :args (@t45)) % 0.47/0.68 (step @p46 :rule cong :premises (@p45 @p44) :args ((=> @t45 @t105))) % 0.47/0.68 (assume-push @p412 @t45) % 0.47/0.68 (step @p48 :rule instantiate :premises (@p28) :args ((@list @t102 @t100))) % 0.47/0.68 (step-pop @p413 :rule scope :premises (@p48)) % 0.47/0.68 (step @p49 :rule process_scope :premises (@p413) :args (@t105)) % 0.47/0.68 (step @p51 :rule eq_resolve :premises (@p49 @p46)) % 0.47/0.68 (step @p52 :rule implies_elim :premises (@p51)) % 0.47/0.68 (step @p53 :rule chain_m_resolution :premises (@p52 @p28) :args (@t106 @t107 (@list @t45))) % 0.47/0.68 (step @p54 :rule aci_norm :args ((= @t112 (or @t95 @t110 @t109)))) % 0.47/0.68 (step @p55 :rule cong :premises (@p54) :args (@t113)) % 0.47/0.68 (step @p56 :rule quant-merge-prenex :args ((= (forall @t7 @t115) @t113))) % 0.47/0.68 (step @p57 :rule alpha_equiv :args (@t116 (@list @t108) @t117)) % 0.47/0.68 (step @p58 :rule refl :args (@t95)) % 0.47/0.68 (step @p59 :rule nary_cong :premises (@p58 @p57) :args (@t118)) % 0.47/0.68 (step @p60 :rule quant-miniscope-or :args ((= @t115 @t118))) % 0.47/0.68 (step @p61 :rule trans :premises (@p60 @p59)) % 0.47/0.68 (step @p62 :rule symm :premises (@p61)) % 0.47/0.68 (step @p63 :rule cong :premises (@p62) :args ((forall @t7 (or @t95 @t119)))) % 0.47/0.68 (step @p64 :rule trans :premises (@p63 @p56)) % 0.47/0.68 (step @p65 :rule trans :premises (@p64 @p55)) % 0.47/0.68 (step @p66 :rule bool-impl-elim :args (@t22 @t119)) % 0.47/0.68 (step @p67 :rule cong :premises (@p66) :args ((forall @t7 (=> @t22 @t119)))) % 0.47/0.68 (step @p68 :rule trans :premises (@p67 @p65)) % 0.47/0.68 (step @p69 :rule bool-impl-elim :args (@t20 @t19)) % 0.47/0.68 (step @p70 :rule cong :premises (@p69) :args (@t21)) % 0.47/0.68 (step @p71 :rule refl :args (@t22)) % 0.47/0.68 (step @p72 :rule cong :premises (@p71 @p70) :args (@t23)) % 0.47/0.68 (step @p73 :rule cong :premises (@p72) :args (@t24)) % 0.47/0.68 (step @p74 :rule trans :premises (@p73 @p68)) % 0.47/0.68 (step @p75 :rule eq_resolve :premises (@p5 @p74)) % 0.47/0.68 (step @p76 :rule instantiate :premises (@p75) :args (@t120)) % 0.47/0.68 (step @p77 :rule aci_norm :args ((= @t125 (or @t95 @t123 @t122)))) % 0.47/0.68 (step @p78 :rule cong :premises (@p77) :args (@t126)) % 0.47/0.68 (step @p79 :rule quant-merge-prenex :args ((= (forall @t7 @t128) @t126))) % 0.47/0.68 (step @p80 :rule alpha_equiv :args (@t129 (@list @t121) @t117)) % 0.47/0.68 (step @p81 :rule nary_cong :premises (@p58 @p80) :args (@t130)) % 0.47/0.68 (step @p82 :rule quant-miniscope-or :args ((= @t128 @t130))) % 0.47/0.68 (step @p83 :rule trans :premises (@p82 @p81)) % 0.47/0.68 (step @p84 :rule symm :premises (@p83)) % 0.47/0.68 (step @p85 :rule cong :premises (@p84) :args ((forall @t7 (or @t95 @t132)))) % 0.47/0.68 (step @p86 :rule trans :premises (@p85 @p79)) % 0.47/0.68 (step @p87 :rule trans :premises (@p86 @p78)) % 0.47/0.68 (step @p88 :rule bool-impl-elim :args (@t22 @t132)) % 0.47/0.68 (step @p89 :rule cong :premises (@p88) :args ((forall @t7 (=> @t22 @t132)))) % 0.47/0.68 (step @p90 :rule trans :premises (@p89 @p87)) % 0.47/0.68 (step @p91 :rule bool-impl-elim :args (@t18 @t20)) % 0.47/0.68 (step @p92 :rule cong :premises (@p91) :args (@t35)) % 0.47/0.68 (step @p93 :rule cong :premises (@p71 @p92) :args (@t36)) % 0.47/0.68 (step @p94 :rule cong 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(step @p137 :rule cong :premises (@p136) :args ((forall @t27 @t180))) % 0.47/0.68 (step @p138 :rule trans :premises (@p137 @p129)) % 0.47/0.68 (step @p139 :rule trans :premises (@p138 @p128)) % 0.47/0.68 (step @p140 :rule aci_norm :args ((= (or @t164 @t181) @t180))) % 0.47/0.68 (step @p141 :rule bool-impl-elim :args (@t26 @t181)) % 0.47/0.68 (step @p142 :rule trans :premises (@p141 @p140)) % 0.47/0.68 (step @p143 :rule cong :premises (@p142) :args ((forall @t27 (=> @t26 @t181)))) % 0.47/0.68 (step @p144 :rule trans :premises (@p143 @p139)) % 0.47/0.68 (step @p145 :rule quant-miniscope-or :args ((= (forall @t71 @t182) @t181))) % 0.47/0.68 (step @p146 :rule aci_norm :args ((= @t183 @t182))) % 0.47/0.68 (step @p147 :rule cong :premises (@p146) :args ((forall @t71 @t183))) % 0.47/0.68 (step @p148 :rule trans :premises (@p147 @p145)) % 0.47/0.68 (step @p149 :rule aci_norm :args ((= (or @t177 @t184) @t183))) % 0.47/0.68 (step @p150 :rule bool-impl-elim :args (@t69 @t184)) % 0.47/0.68 (step @p151 :rule trans :premises (@p150 @p149)) % 0.47/0.68 (step @p152 :rule cong :premises (@p151) :args ((forall @t71 (=> @t69 @t184)))) % 0.47/0.68 (step @p153 :rule trans :premises (@p152 @p148)) % 0.47/0.68 (step @p154 :rule aci_norm :args ((= (or @t53 @t176 @t185) @t184))) % 0.47/0.68 (step @p155 :rule aci_norm :args ((= (or @t163 false @t175) @t185))) % 0.47/0.68 (step @p156 :rule refl :args (@t175)) % 0.47/0.68 (step @p157 :rule evaluate :args ((not true))) % 0.47/0.68 (step @p158 :rule eq-refl :args (@t8)) % 0.47/0.68 (step @p159 :rule cong :premises (@p158) :args (@t186)) % 0.47/0.68 (step @p160 :rule trans :premises (@p159 @p157)) % 0.47/0.68 (step @p161 :rule refl :args (@t163)) % 0.47/0.68 (step @p162 :rule nary_cong :premises (@p161 @p160 @p156) :args (@t187)) % 0.47/0.68 (step @p163 :rule trans :premises (@p162 @p155)) % 0.47/0.68 (step @p164 :rule quant-var-elim-eq :args ((= (forall @t67 (or (not @t58) @t191 @t190 @t188)) @t187))) % 0.47/0.68 (step @p165 :rule refl :args 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(step @p362 :rule reordering :premises (@p361) :args ((or @t228 @t235))) % 0.47/0.69 (step @p363 :rule chain_m_resolution :premises (@p362 @p267) :args (@t228 @t236 @t237)) % 0.47/0.69 (step @p364 :rule cnf_or_pos :args (@t278)) % 0.47/0.69 (step @p365 :rule reordering :premises (@p364) :args ((or @t229 @t223 @t243 @t277 (not @t278)))) % 0.47/0.69 (step @p366 :rule chain_m_resolution :premises (@p365 @p363 @p357 @p283 @p351) :args (@t277 @t279 (@list @t228 @t222 @t238 @t278))) % 0.47/0.69 (step @p367 :rule bool-double-not-elim :args (@t219)) % 0.47/0.69 (step @p368 :rule nary_cong :premises (@p269 @p367) :args ((or @t235 (not @t220)))) % 0.47/0.69 (step @p369 :rule cnf_or_neg :args (@t235 7)) % 0.47/0.69 (step @p370 :rule eq_resolve :premises (@p369 @p368)) % 0.47/0.69 (step @p371 :rule reordering :premises (@p370) :args ((or @t219 @t235))) % 0.47/0.69 (step @p372 :rule chain_m_resolution :premises (@p371 @p267) :args (@t219 @t236 @t237)) % 0.47/0.69 (step @p373 :rule cnf_equiv_pos1 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(step @p385 :rule chain_m_resolution :premises (@p384 @p267) :args (@t226 @t236 @t237)) % 0.47/0.69 (step @p386 :rule bool-double-not-elim :args (@t230)) % 0.47/0.69 (step @p387 :rule nary_cong :premises (@p269 @p386) :args ((or @t235 (not @t231)))) % 0.47/0.69 (step @p388 :rule cnf_or_neg :args (@t235 2)) % 0.47/0.69 (step @p389 :rule eq_resolve :premises (@p388 @p387)) % 0.47/0.69 (step @p390 :rule reordering :premises (@p389) :args ((or @t230 @t235))) % 0.47/0.69 (step @p391 :rule chain_m_resolution :premises (@p390 @p267) :args (@t230 @t236 @t237)) % 0.47/0.69 (step @p392 :rule cnf_or_pos :args (@t286)) % 0.47/0.69 (step @p393 :rule reordering :premises (@p392) :args ((or @t234 @t231 @t227 @t285 (not @t286)))) % 0.47/0.69 (step @p394 :rule chain_m_resolution :premises (@p393 @p280 @p391 @p385 @p379) :args (@t285 @t279 (@list @t233 @t230 @t226 @t286))) % 0.47/0.69 (step @p395 :rule cnf_or_neg :args (@t235 5)) % 0.47/0.69 (step @p396 :rule chain_m_resolution :premises (@p395 @p267) :args ((not @t224) @t236 @t237)) % 0.47/0.69 (step @p397 :rule cnf_equiv_pos2 :args (@t285)) % 0.47/0.69 (step @p398 :rule reordering :premises (@p397) :args ((or @t224 @t287 (not @t285)))) % 0.47/0.69 (step @p399 :rule chain_m_resolution :premises (@p398 @p396 @p394) :args (@t287 @t288 (@list @t224 @t285))) % 0.47/0.69 (step @p400 :rule cnf_or_pos :args (@t291)) % 0.47/0.69 (step @p401 :rule reordering :premises (@p400) :args ((or @t284 @t290 @t289 (not @t291)))) % 0.47/0.69 (step @p402 :rule chain_m_resolution :premises (@p401 @p399 @p378 @p301) :args (@t289 (@list true false false) (@list @t284 @t280 @t291))) % 0.47/0.69 (step @p403 :rule cnf_or_pos :args (@t293)) % 0.47/0.69 (step @p404 :rule reordering :premises (@p403) :args ((or @t282 @t292 @t281 @t294))) % 0.47/0.69 (step @p405 :rule chain_m_resolution :premises (@p404 @p375 @p402 @p295) :args (@t294 @t240 (@list @t276 @t289 @t103))) % 0.47/0.69 (assume-push @p414 @t295) % 0.47/0.69 (step @p407 :rule instantiate :premises (@p43) :args (@t248)) % 0.47/0.69 (step-pop @p415 :rule scope :premises (@p407)) % 0.47/0.69 (step @p408 :rule process_scope :premises (@p415) :args (@t293)) % 0.47/0.69 (step @p410 :rule implies_elim :premises (@p408)) % 0.47/0.69 (step @p411 false :rule chain_m_resolution :premises (@p410 @p405 @p43) :args (false @t288 (@list @t293 @t295))) % 0.47/0.69 ) % 0.47/0.69 % SZS output end Proof % 0.47/0.69 % cvc5 exiting %------------------------------------------------------------------------------