%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU360+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 : n029.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 0.41s 0.69s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU360+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n029.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 17:01:47 EDT 2026 % 0.16/0.35 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.41/0.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.41/0.69 % SZS status Theorem % 0.41/0.69 % SZS output start Proof % 0.41/0.69 ( % 0.41/0.69 (declare-sort $$unsorted 0) % 0.41/0.69 (declare-const tptp.ex_sup_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.lower_bounded_relstr (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.empty_set $$unsorted) % 0.41/0.69 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.ex_inf_of_relstr_set (-> $$unsorted $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.41/0.69 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.related (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.relstr_element_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.69 (declare-const tptp.relstr_set_smaller (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.41/0.69 (define @t1 () (@var "A" $$unsorted)) % 0.41/0.69 (define @t2 () (@var "B" $$unsorted)) % 0.41/0.69 (define @t3 () (tptp.in @t1 @t2)) % 0.41/0.69 (define @t4 () (@list @t1 @t2)) % 0.41/0.69 (define @t5 () (tptp.finite @t1)) % 0.41/0.69 (define @t6 () (tptp.empty @t1)) % 0.41/0.69 (define @t7 () (@list @t1)) % 0.41/0.69 (define @t8 () (tptp.the_carrier @t1)) % 0.41/0.69 (define @t9 () (tptp.relstr_element_smaller @t1 @t8 @t2)) % 0.41/0.69 (define @t10 () (tptp.element @t2 @t8)) % 0.41/0.69 (define @t11 () (and @t10 @t9)) % 0.41/0.69 (define @t12 () (@list @t2)) % 0.41/0.69 (define @t13 () (exists @t12 @t11)) % 0.41/0.69 (define @t14 () (tptp.lower_bounded_relstr @t1)) % 0.41/0.69 (define @t15 () (= @t14 @t13)) % 0.41/0.69 (define @t16 () (tptp.rel_str @t1)) % 0.41/0.69 (define @t17 () (=> @t16 @t15)) % 0.41/0.69 (define @t18 () (forall @t7 @t17)) % 0.41/0.69 (define @t19 () (@var "D" $$unsorted)) % 0.41/0.69 (define @t20 () (@var "C" $$unsorted)) % 0.41/0.69 (define @t21 () (tptp.related @t1 @t20 @t19)) % 0.41/0.69 (define @t22 () (tptp.in @t19 @t2)) % 0.41/0.69 (define @t23 () (=> @t22 @t21)) % 0.41/0.69 (define @t24 () (tptp.element @t19 @t8)) % 0.41/0.69 (define @t25 () (@list @t19)) % 0.41/0.69 (define @t26 () (forall @t25 (=> @t24 @t23))) % 0.41/0.69 (define @t27 () (tptp.relstr_element_smaller @t1 @t2 @t20)) % 0.41/0.69 (define @t28 () (= @t27 @t26)) % 0.41/0.69 (define @t29 () (tptp.element @t20 @t8)) % 0.41/0.69 (define @t30 () (=> @t29 @t28)) % 0.41/0.69 (define @t31 () (@list @t2 @t20)) % 0.41/0.69 (define @t32 () (forall @t31 @t30)) % 0.41/0.69 (define @t33 () (=> @t16 @t32)) % 0.41/0.69 (define @t34 () (forall @t7 @t33)) % 0.41/0.69 (define @t35 () (tptp.one_sorted_str @t1)) % 0.41/0.69 (define @t36 () (forall @t7 (=> @t16 @t35))) % 0.41/0.69 (define @t37 () (not (tptp.empty @t8))) % 0.41/0.69 (define @t38 () (tptp.empty_carrier @t1)) % 0.41/0.69 (define @t39 () (not @t38)) % 0.41/0.69 (define @t40 () (and @t39 @t35)) % 0.41/0.69 (define @t41 () (forall @t7 (=> @t40 @t37))) % 0.41/0.69 (define @t42 () (not @t6)) % 0.41/0.69 (define @t43 () (tptp.relstr_set_smaller @t1 @t2 @t19)) % 0.41/0.69 (define @t44 () (=> @t43 @t21)) % 0.41/0.69 (define @t45 () (forall @t25 (=> @t24 @t44))) % 0.41/0.69 (define @t46 () (tptp.relstr_set_smaller @t1 @t2 @t20)) % 0.41/0.69 (define @t47 () (and @t29 @t46 @t45)) % 0.41/0.69 (define @t48 () (@list @t20)) % 0.41/0.69 (define @t49 () (exists @t48 @t47)) % 0.41/0.69 (define @t50 () (tptp.ex_sup_of_relstr_set @t1 @t2)) % 0.41/0.69 (define @t51 () (= @t50 @t49)) % 0.41/0.69 (define @t52 () (forall @t12 @t51)) % 0.41/0.69 (define @t53 () (tptp.antisymmetric_relstr @t1)) % 0.41/0.69 (define @t54 () (and @t53 @t16)) % 0.41/0.69 (define @t55 () (=> @t54 @t52)) % 0.41/0.69 (define @t56 () (forall @t7 @t55)) % 0.41/0.69 (define @t57 () (tptp.related @t1 @t19 @t20)) % 0.41/0.69 (define @t58 () (tptp.relstr_element_smaller @t1 @t2 @t19)) % 0.41/0.69 (define @t59 () (=> @t58 @t57)) % 0.41/0.69 (define @t60 () (forall @t25 (=> @t24 @t59))) % 0.41/0.69 (define @t61 () (and @t29 @t27 @t60)) % 0.41/0.69 (define @t62 () (exists @t48 @t61)) % 0.41/0.69 (define @t63 () (tptp.ex_inf_of_relstr_set @t1 @t2)) % 0.41/0.69 (define @t64 () (= @t63 @t62)) % 0.41/0.69 (define @t65 () (forall @t12 @t64)) % 0.41/0.69 (define @t66 () (=> @t54 @t65)) % 0.41/0.69 (define @t67 () (forall @t7 @t66)) % 0.41/0.69 (define @t68 () (tptp.element @t1 @t2)) % 0.41/0.69 (define @t69 () (tptp.empty @t2)) % 0.41/0.69 (define @t70 () (or @t69 @t3)) % 0.41/0.69 (define @t71 () (forall @t4 (=> @t68 @t70))) % 0.41/0.69 (define @t72 () (and (tptp.ex_sup_of_relstr_set @t1 tptp.empty_set) (tptp.ex_inf_of_relstr_set @t1 @t8))) % 0.41/0.69 (define @t73 () (and @t39 @t53 @t14 @t16)) % 0.41/0.69 (define @t74 () (forall @t7 (=> @t73 @t72))) % 0.41/0.69 (define @t75 () (not @t74)) % 0.41/0.69 (define @t76 () (and (tptp.relstr_set_smaller @t1 tptp.empty_set @t2) (tptp.relstr_element_smaller @t1 tptp.empty_set @t2))) % 0.41/0.69 (define @t77 () (forall @t12 (=> @t10 @t76))) % 0.41/0.69 (define @t78 () (=> @t16 @t77)) % 0.41/0.69 (define @t79 () (forall @t7 @t78)) % 0.41/0.69 (define @t80 () (@var "BOUND_VARIABLE_7589" $$unsorted)) % 0.41/0.69 (define @t81 () (@var "BOUND_VARIABLE_7587" $$unsorted)) % 0.41/0.69 (define @t82 () (not @t24)) % 0.41/0.69 (define @t83 () (= (tptp.relstr_element_smaller @t1 @t81 @t80) (forall @t25 (or @t82 (not (tptp.in @t19 @t81)) (tptp.related @t1 @t80 @t19))))) % 0.41/0.69 (define @t84 () (not (tptp.element @t80 @t8))) % 0.41/0.69 (define @t85 () (not @t16)) % 0.41/0.69 (define @t86 () (or @t84 @t83)) % 0.41/0.69 (define @t87 () (or @t85 @t86)) % 0.41/0.69 (define @t88 () (forall (@list @t1 @t81 @t80) @t87)) % 0.41/0.69 (define @t89 () (@list @t81 @t80)) % 0.41/0.69 (define @t90 () (forall @t89 @t87)) % 0.41/0.69 (define @t91 () (forall @t89 @t86)) % 0.41/0.69 (define @t92 () (or @t85 @t91)) % 0.41/0.69 (define @t93 () (not @t22)) % 0.41/0.69 (define @t94 () (or @t82 @t93 @t21)) % 0.41/0.69 (define @t95 () (= @t27 (forall @t25 @t94))) % 0.41/0.69 (define @t96 () (not @t29)) % 0.41/0.69 (define @t97 () (forall @t31 (or @t96 @t95))) % 0.41/0.69 (define @t98 () (not @t14)) % 0.41/0.69 (define @t99 () (not @t53)) % 0.41/0.69 (define @t100 () (or @t38 @t99 @t98 @t85 @t72)) % 0.41/0.69 (define @t101 () (@quantifiers_skolemize (forall @t7 @t100) 0)) % 0.41/0.69 (define @t102 () (tptp.the_carrier @t101)) % 0.41/0.69 (define @t103 () (forall @t12 (or (not (tptp.element @t2 @t102)) (not (tptp.relstr_element_smaller @t101 @t102 @t2))))) % 0.41/0.69 (define @t104 () (@quantifiers_skolemize @t103 0)) % 0.41/0.69 (define @t105 () (not (tptp.relstr_element_smaller @t101 @t102 @t19))) % 0.41/0.69 (define @t106 () (not (tptp.element @t19 @t102))) % 0.41/0.69 (define @t107 () (forall @t25 (or @t106 @t105 (tptp.related @t101 @t19 @t104)))) % 0.41/0.69 (define @t108 () (@quantifiers_skolemize @t107 0)) % 0.41/0.69 (define @t109 () (@var "BOUND_VARIABLE_7712" $$unsorted)) % 0.41/0.69 (define @t110 () (= (tptp.ex_inf_of_relstr_set @t1 @t109) (not (forall @t48 (or @t96 (not (tptp.relstr_element_smaller @t1 @t109 @t20)) (not (forall @t25 (or @t82 (not (tptp.relstr_element_smaller @t1 @t109 @t19)) @t57)))))))) % 0.41/0.69 (define @t111 () (or @t99 @t85 @t110)) % 0.41/0.69 (define @t112 () (@list @t109)) % 0.41/0.69 (define @t113 () (forall @t112 @t111)) % 0.41/0.69 (define @t114 () (forall @t112 @t110)) % 0.41/0.69 (define @t115 () (@list @t2)) % 0.41/0.69 (define @t116 () (or @t99 @t85 @t114)) % 0.41/0.69 (define @t117 () (not @t58)) % 0.41/0.69 (define @t118 () (or @t82 @t117 @t57)) % 0.41/0.69 (define @t119 () (forall @t25 @t118)) % 0.41/0.69 (define @t120 () (not @t119)) % 0.41/0.69 (define @t121 () (not @t27)) % 0.41/0.69 (define @t122 () (or @t96 @t121 @t120)) % 0.41/0.69 (define @t123 () (forall @t12 (= @t63 (not (forall @t48 @t122))))) % 0.41/0.69 (define @t124 () (or @t99 @t85 @t123)) % 0.41/0.69 (define @t125 () (or @t99 @t85)) % 0.41/0.69 (define @t126 () (not @t54)) % 0.41/0.69 (define @t127 () (and @t29 @t27 @t119)) % 0.41/0.69 (define @t128 () (forall @t48 (not @t127))) % 0.41/0.69 (define @t129 () (not @t128)) % 0.41/0.69 (define @t130 () (not @t39)) % 0.41/0.69 (define @t131 () (or @t130 @t99 @t98 @t85)) % 0.41/0.69 (define @t132 () (tptp.rel_str @t101)) % 0.41/0.69 (define @t133 () (tptp.ex_inf_of_relstr_set @t101 @t102)) % 0.41/0.69 (define @t134 () (tptp.ex_sup_of_relstr_set @t101 tptp.empty_set)) % 0.41/0.69 (define @t135 () (and @t134 @t133)) % 0.41/0.69 (define @t136 () (not @t132)) % 0.41/0.69 (define @t137 () (tptp.lower_bounded_relstr @t101)) % 0.41/0.69 (define @t138 () (not @t137)) % 0.41/0.69 (define @t139 () (tptp.antisymmetric_relstr @t101)) % 0.41/0.69 (define @t140 () (not @t139)) % 0.41/0.69 (define @t141 () (tptp.empty_carrier @t101)) % 0.41/0.69 (define @t142 () (or @t141 @t140 @t138 @t136 @t135)) % 0.41/0.69 (define @t143 () (@list true)) % 0.41/0.69 (define @t144 () (@list @t142)) % 0.41/0.69 (define @t145 () (not (tptp.element @t20 @t102))) % 0.41/0.69 (define @t146 () (forall @t48 (or @t145 (not (tptp.relstr_element_smaller @t101 @t102 @t20)) (not (forall @t25 (or @t106 @t105 (tptp.related @t101 @t19 @t20))))))) % 0.41/0.69 (define @t147 () (not @t146)) % 0.41/0.69 (define @t148 () (= @t133 @t147)) % 0.41/0.69 (define @t149 () (or @t140 @t136 @t148)) % 0.41/0.69 (define @t150 () (@list false false false)) % 0.41/0.69 (define @t151 () (@var "BOUND_VARIABLE_7674" $$unsorted)) % 0.41/0.69 (define @t152 () (= (tptp.ex_sup_of_relstr_set @t1 @t151) (not (forall @t48 (or @t96 (not (tptp.relstr_set_smaller @t1 @t151 @t20)) (not (forall @t25 (or @t82 (not (tptp.relstr_set_smaller @t1 @t151 @t19)) @t21)))))))) % 0.41/0.69 (define @t153 () (or @t99 @t85 @t152)) % 0.41/0.69 (define @t154 () (@list @t151)) % 0.41/0.69 (define @t155 () (forall @t154 @t153)) % 0.41/0.69 (define @t156 () (forall @t154 @t152)) % 0.41/0.69 (define @t157 () (or @t99 @t85 @t156)) % 0.41/0.69 (define @t158 () (not @t43)) % 0.41/0.69 (define @t159 () (or @t82 @t158 @t21)) % 0.41/0.69 (define @t160 () (forall @t25 @t159)) % 0.41/0.69 (define @t161 () (not @t160)) % 0.41/0.69 (define @t162 () (not @t46)) % 0.41/0.69 (define @t163 () (or @t96 @t162 @t161)) % 0.41/0.69 (define @t164 () (forall @t12 (= @t50 (not (forall @t48 @t163))))) % 0.41/0.69 (define @t165 () (or @t99 @t85 @t164)) % 0.41/0.69 (define @t166 () (and @t29 @t46 @t160)) % 0.41/0.69 (define @t167 () (forall @t48 (not @t166))) % 0.41/0.69 (define @t168 () (not @t167)) % 0.41/0.69 (define @t169 () (not (tptp.relstr_set_smaller @t101 tptp.empty_set @t19))) % 0.41/0.69 (define @t170 () (forall @t48 (or @t145 (not (tptp.relstr_set_smaller @t101 tptp.empty_set @t20)) (not (forall @t25 (or @t106 @t169 (tptp.related @t101 @t20 @t19))))))) % 0.41/0.69 (define @t171 () (not @t170)) % 0.41/0.69 (define @t172 () (= @t134 @t171)) % 0.41/0.69 (define @t173 () (or @t140 @t136 @t172)) % 0.41/0.69 (define @t174 () (tptp.related @t101 @t104 @t19)) % 0.41/0.69 (define @t175 () (forall @t25 (or @t106 @t169 @t174))) % 0.41/0.69 (define @t176 () (@quantifiers_skolemize @t175 0)) % 0.41/0.69 (define @t177 () (tptp.element @t176 @t102)) % 0.41/0.69 (define @t178 () (tptp.related @t101 @t104 @t176)) % 0.41/0.69 (define @t179 () (not @t177)) % 0.41/0.69 (define @t180 () (or @t179 (not (tptp.relstr_set_smaller @t101 tptp.empty_set @t176)) @t178)) % 0.41/0.69 (define @t181 () (not @t35)) % 0.41/0.69 (define @t182 () (@list @t101)) % 0.41/0.69 (define @t183 () (tptp.one_sorted_str @t101)) % 0.41/0.69 (define @t184 () (or @t136 @t183)) % 0.41/0.69 (define @t185 () (@list false false)) % 0.41/0.69 (define @t186 () (tptp.empty @t102)) % 0.41/0.69 (define @t187 () (not @t186)) % 0.41/0.69 (define @t188 () (not @t183)) % 0.41/0.69 (define @t189 () (or @t141 @t188 @t187)) % 0.41/0.69 (define @t190 () (@list true false false)) % 0.41/0.69 (define @t191 () (not @t68)) % 0.41/0.69 (define @t192 () (tptp.in @t176 @t102)) % 0.41/0.69 (define @t193 () (or @t179 @t186 @t192)) % 0.41/0.69 (define @t194 () (not @t10)) % 0.41/0.69 (define @t195 () (= @t14 (not (forall @t12 (or @t194 (not @t9)))))) % 0.41/0.69 (define @t196 () (forall @t12 (not @t11))) % 0.41/0.69 (define @t197 () (not @t196)) % 0.41/0.69 (define @t198 () (not @t103)) % 0.41/0.69 (define @t199 () (= @t137 @t198)) % 0.41/0.69 (define @t200 () (or @t136 @t199)) % 0.41/0.69 (define @t201 () (tptp.element @t104 @t102)) % 0.41/0.69 (define @t202 () (tptp.relstr_element_smaller @t101 @t102 @t104)) % 0.41/0.69 (define @t203 () (not @t202)) % 0.41/0.69 (define @t204 () (not @t201)) % 0.41/0.69 (define @t205 () (or @t204 @t203)) % 0.41/0.69 (define @t206 () (@list @t205)) % 0.41/0.69 (define @t207 () (not (tptp.in @t19 @t102))) % 0.41/0.69 (define @t208 () (forall @t25 (or @t106 @t207 @t174))) % 0.41/0.69 (define @t209 () (= @t202 @t208)) % 0.41/0.69 (define @t210 () (or @t136 @t204 @t209)) % 0.41/0.69 (define @t211 () (not @t192)) % 0.41/0.69 (define @t212 () (or @t179 @t211 @t178)) % 0.41/0.69 (define @t213 () (not @t180)) % 0.41/0.69 (define @t214 () (not @t175)) % 0.41/0.69 (define @t215 () (@list false)) % 0.41/0.69 (define @t216 () (@var "BOUND_VARIABLE_7753" $$unsorted)) % 0.41/0.69 (define @t217 () (and (tptp.relstr_set_smaller @t1 tptp.empty_set @t216) (tptp.relstr_element_smaller @t1 tptp.empty_set @t216))) % 0.41/0.69 (define @t218 () (not (tptp.element @t216 @t8))) % 0.41/0.69 (define @t219 () (or @t218 @t217)) % 0.41/0.69 (define @t220 () (or @t85 @t219)) % 0.41/0.69 (define @t221 () (forall (@list @t1 @t216) @t220)) % 0.41/0.69 (define @t222 () (@list @t216)) % 0.41/0.69 (define @t223 () (forall @t222 @t220)) % 0.41/0.69 (define @t224 () (forall @t222 @t219)) % 0.41/0.69 (define @t225 () (or @t85 @t224)) % 0.41/0.69 (define @t226 () (forall @t12 (or @t194 @t76))) % 0.41/0.69 (define @t227 () (tptp.relstr_set_smaller @t101 tptp.empty_set @t104)) % 0.41/0.69 (define @t228 () (and @t227 (tptp.relstr_element_smaller @t101 tptp.empty_set @t104))) % 0.41/0.69 (define @t229 () (or @t136 @t204 @t228)) % 0.41/0.69 (define @t230 () (not @t227)) % 0.41/0.69 (define @t231 () (or @t204 @t230 @t214)) % 0.41/0.69 (define @t232 () (not @t231)) % 0.41/0.69 (define @t233 () (@list @t104)) % 0.41/0.69 (define @t234 () (not @t172)) % 0.41/0.69 (define @t235 () (@list true false)) % 0.41/0.69 (define @t236 () (not @t148)) % 0.41/0.69 (define @t237 () (not @t107)) % 0.41/0.69 (define @t238 () (or @t204 @t203 @t237)) % 0.41/0.69 (define @t239 () (tptp.related @t101 @t108 @t104)) % 0.41/0.69 (define @t240 () (tptp.relstr_element_smaller @t101 @t102 @t108)) % 0.41/0.69 (define @t241 () (not @t240)) % 0.41/0.69 (define @t242 () (tptp.element @t108 @t102)) % 0.41/0.69 (define @t243 () (not @t242)) % 0.41/0.69 (define @t244 () (or @t243 @t241 @t239)) % 0.41/0.69 (define @t245 () (not @t244)) % 0.41/0.69 (define @t246 () (@list @t244)) % 0.41/0.69 (define @t247 () (forall @t25 (or @t106 @t207 (tptp.related @t101 @t108 @t19)))) % 0.41/0.69 (define @t248 () (= @t240 @t247)) % 0.41/0.69 (define @t249 () (or @t136 @t243 @t248)) % 0.41/0.69 (define @t250 () (tptp.in @t104 @t102)) % 0.41/0.69 (define @t251 () (or @t204 @t186 @t250)) % 0.41/0.69 (define @t252 () (not @t250)) % 0.41/0.69 (define @t253 () (or @t204 @t252 @t239)) % 0.41/0.69 (define @t254 () (not @t253)) % 0.41/0.69 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.41/0.69 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.41/0.69 (assume @p3 @t18) % 0.41/0.69 (assume @p4 @t34) % 0.41/0.69 (assume @p5 true) % 0.41/0.69 (assume @p6 @t36) % 0.41/0.69 (assume @p7 (exists @t7 @t16)) % 0.41/0.69 (assume @p8 (exists @t7 @t35)) % 0.41/0.69 (assume @p9 (forall @t7 (exists @t12 (tptp.element @t2 @t1)))) % 0.41/0.69 (assume @p10 @t41) % 0.41/0.69 (assume @p11 (tptp.empty tptp.empty_set)) % 0.41/0.69 (assume @p12 (exists @t7 (and @t42 @t5))) % 0.41/0.69 (assume @p13 (exists @t7 @t6)) % 0.41/0.69 (assume @p14 (exists @t7 @t42)) % 0.41/0.69 (assume @p15 (exists @t7 (and @t35 @t39))) % 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(step @p63 :rule alpha_equiv :args (@t114 (@list @t109) @t115)) % 0.41/0.69 (step @p64 :rule refl :args (@t99)) % 0.41/0.69 (step @p65 :rule nary_cong :premises (@p64 @p29 @p63) :args (@t116)) % 0.41/0.69 (step @p66 :rule quant-miniscope-or :args ((= @t113 @t116))) % 0.41/0.69 (step @p67 :rule trans :premises (@p66 @p65)) % 0.41/0.69 (step @p68 :rule symm :premises (@p67)) % 0.41/0.69 (step @p69 :rule cong :premises (@p68) :args ((forall @t7 @t124))) % 0.41/0.69 (step @p70 :rule trans :premises (@p69 @p62)) % 0.41/0.69 (step @p71 :rule aci_norm :args ((= (or @t125 @t123) @t124))) % 0.41/0.69 (step @p72 :rule refl :args (@t123)) % 0.41/0.69 (step @p73 :rule bool-and-de-morgan :args (@t53 @t16 true)) % 0.41/0.69 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t126 @t123))) % 0.41/0.69 (step @p75 :rule trans :premises (@p74 @p71)) % 0.41/0.69 (step @p76 :rule bool-impl-elim :args (@t54 @t123)) % 0.41/0.69 (step @p77 :rule trans :premises (@p76 @p75)) % 0.41/0.69 (step @p78 :rule cong :premises (@p77) :args ((forall @t7 (=> @t54 @t123)))) % 0.41/0.69 (step @p79 :rule trans :premises (@p78 @p70)) % 0.41/0.69 (step @p80 :rule aci_norm :args ((= (or @t96 (or @t121 @t120)) @t122))) % 0.41/0.69 (step @p81 :rule bool-and-de-morgan :args (@t27 @t119 true)) % 0.41/0.69 (step @p82 :rule refl :args (@t96)) % 0.41/0.69 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or @t96 (not (and @t27 @t119))))) % 0.41/0.69 (step @p84 :rule bool-and-de-morgan :args (@t29 @t27 (and @t119))) % 0.41/0.69 (step @p85 :rule trans :premises (@p84 @p83)) % 0.41/0.69 (step @p86 :rule trans :premises (@p85 @p80)) % 0.41/0.69 (step @p87 :rule cong :premises (@p86) :args (@t128)) % 0.41/0.69 (step @p88 :rule cong :premises (@p87) :args (@t129)) % 0.41/0.69 (step @p89 :rule exists-elim :args ((= (exists @t48 @t127) @t129))) % 0.41/0.69 (step @p90 :rule trans :premises (@p89 @p88)) % 0.41/0.69 (step @p91 :rule aci_norm :args ((= (or @t82 (or @t117 @t57)) @t118))) % 0.41/0.69 (step 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0.41/0.69 (step @p121 :rule refl :args (@t130)) % 0.41/0.69 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or @t130 (not (and @t53 @t14 @t16))))) % 0.41/0.69 (step @p123 :rule bool-and-de-morgan :args (@t39 @t53 (and @t14 @t16))) % 0.41/0.69 (step @p124 :rule trans :premises (@p123 @p122)) % 0.41/0.69 (step @p125 :rule trans :premises (@p124 @p116)) % 0.41/0.69 (step @p126 :rule nary_cong :premises (@p125 @p111) :args ((or (not @t73) @t72))) % 0.41/0.69 (step @p127 :rule trans :premises (@p126 @p110)) % 0.41/0.69 (step @p128 :rule bool-impl-elim :args (@t73 @t72)) % 0.41/0.69 (step @p129 :rule trans :premises (@p128 @p127)) % 0.41/0.69 (step @p130 :rule cong :premises (@p129) :args (@t74)) % 0.41/0.69 (step @p131 :rule cong :premises (@p130) :args (@t75)) % 0.41/0.69 (step @p132 :rule eq_resolve :premises (@p20 @p131)) % 0.41/0.69 (step @p133 :rule skolemize :premises (@p132)) % 0.41/0.69 (step @p134 :rule bool-double-not-elim :args (@t132)) % 0.41/0.69 (step @p135 :rule 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:premises (@p147) :args ((or @t140 @t136 @t148 (not @t149)))) % 0.41/0.69 (step @p149 :rule chain_m_resolution :premises (@p148 @p146 @p140 @p109) :args (@t148 @t150 (@list @t139 @t132 @t149))) % 0.41/0.69 (step @p150 :rule quant-merge-prenex :args ((= (forall @t7 @t155) (forall (@list @t1 @t151) @t153)))) % 0.41/0.69 (step @p151 :rule alpha_equiv :args (@t156 (@list @t151) @t115)) % 0.41/0.69 (step @p152 :rule nary_cong :premises (@p64 @p29 @p151) :args (@t157)) % 0.41/0.69 (step @p153 :rule quant-miniscope-or :args ((= @t155 @t157))) % 0.41/0.69 (step @p154 :rule trans :premises (@p153 @p152)) % 0.41/0.69 (step @p155 :rule symm :premises (@p154)) % 0.41/0.69 (step @p156 :rule cong :premises (@p155) :args ((forall @t7 @t165))) % 0.41/0.69 (step @p157 :rule trans :premises (@p156 @p150)) % 0.41/0.69 (step @p158 :rule aci_norm :args ((= (or @t125 @t164) @t165))) % 0.41/0.69 (step @p159 :rule refl :args (@t164)) % 0.41/0.69 (step @p160 :rule nary_cong :premises (@p73 @p159) :args ((or 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chain_m_resolution :premises (@p406 @p401 @p392) :args (false @t235 (@list @t253 @t247))) % 0.41/0.69 ) % 0.41/0.69 % SZS output end Proof % 0.41/0.69 % cvc5 exiting %------------------------------------------------------------------------------