%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU341+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 08:51:26 AM UTC 2026 % Result : Theorem 0.39s 0.62s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU341+1 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:59:04 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.62 % SZS status Theorem % 0.39/0.62 % SZS output start Proof % 0.39/0.62 ( % 0.39/0.62 (declare-sort $$unsorted 0) % 0.39/0.62 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.empty_set $$unsorted) % 0.39/0.62 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.top_str (-> $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.62 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.39/0.62 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.39/0.62 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.point_neighbourhood (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.39/0.62 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.39/0.62 (define @t1 () (@var "A" $$unsorted)) % 0.39/0.62 (define @t2 () (@var "B" $$unsorted)) % 0.39/0.62 (define @t3 () (tptp.in @t1 @t2)) % 0.39/0.62 (define @t4 () (@list @t1 @t2)) % 0.39/0.62 (define @t5 () (tptp.v1_xcmplx_0 @t2)) % 0.39/0.62 (define @t6 () (tptp.element @t2 @t1)) % 0.39/0.62 (define @t7 () (@list @t2)) % 0.39/0.62 (define @t8 () (tptp.v1_membered @t1)) % 0.39/0.62 (define @t9 () (@list @t1)) % 0.39/0.62 (define @t10 () (tptp.v1_xreal_0 @t2)) % 0.39/0.62 (define @t11 () (tptp.v2_membered @t1)) % 0.39/0.62 (define @t12 () (tptp.v1_rat_1 @t2)) % 0.39/0.62 (define @t13 () (tptp.v3_membered @t1)) % 0.39/0.62 (define @t14 () (tptp.v1_int_1 @t2)) % 0.39/0.62 (define @t15 () (tptp.v4_membered @t1)) % 0.39/0.62 (define @t16 () (tptp.v5_membered @t1)) % 0.39/0.62 (define @t17 () (tptp.empty @t1)) % 0.39/0.62 (define @t18 () (tptp.v1_membered @t2)) % 0.39/0.62 (define @t19 () (tptp.powerset @t1)) % 0.39/0.62 (define @t20 () (tptp.element @t2 @t19)) % 0.39/0.62 (define @t21 () (tptp.v2_membered @t2)) % 0.39/0.62 (define @t22 () (tptp.v3_membered @t2)) % 0.39/0.62 (define @t23 () (tptp.v4_membered @t2)) % 0.39/0.62 (define @t24 () (@var "C" $$unsorted)) % 0.39/0.62 (define @t25 () (tptp.interior @t1 @t24)) % 0.39/0.62 (define @t26 () (tptp.point_neighbourhood @t24 @t1 @t2)) % 0.39/0.62 (define @t27 () (= @t26 (tptp.in @t2 @t25))) % 0.39/0.62 (define @t28 () (tptp.the_carrier @t1)) % 0.39/0.62 (define @t29 () (tptp.powerset @t28)) % 0.39/0.62 (define @t30 () (tptp.element @t24 @t29)) % 0.39/0.62 (define @t31 () (@list @t24)) % 0.39/0.62 (define @t32 () (forall @t31 (=> @t30 @t27))) % 0.39/0.62 (define @t33 () (tptp.element @t2 @t28)) % 0.39/0.62 (define @t34 () (=> @t33 @t32)) % 0.39/0.62 (define @t35 () (forall @t7 @t34)) % 0.39/0.62 (define @t36 () (tptp.top_str @t1)) % 0.39/0.62 (define @t37 () (tptp.topological_space @t1)) % 0.39/0.62 (define @t38 () (tptp.empty_carrier @t1)) % 0.39/0.62 (define @t39 () (not @t38)) % 0.39/0.62 (define @t40 () (and @t39 @t37 @t36)) % 0.39/0.62 (define @t41 () (=> @t40 @t35)) % 0.39/0.62 (define @t42 () (forall @t9 @t41)) % 0.39/0.62 (define @t43 () (tptp.element @t2 @t29)) % 0.39/0.62 (define @t44 () (tptp.one_sorted_str @t1)) % 0.39/0.62 (define @t45 () (and @t39 @t37 @t36 @t33)) % 0.39/0.62 (define @t46 () (not @t17)) % 0.39/0.62 (define @t47 () (tptp.empty @t2)) % 0.39/0.62 (define @t48 () (tptp.element @t1 @t2)) % 0.39/0.62 (define @t49 () (tptp.element @t2 (tptp.powerset @t24))) % 0.39/0.62 (define @t50 () (@list @t1 @t2 @t24)) % 0.39/0.62 (define @t51 () (tptp.open_subset @t24 @t1)) % 0.39/0.62 (define @t52 () (=> (= @t25 @t24) @t51)) % 0.39/0.62 (define @t53 () (@var "D" $$unsorted)) % 0.39/0.62 (define @t54 () (tptp.interior @t2 @t53)) % 0.39/0.62 (define @t55 () (tptp.open_subset @t53 @t2)) % 0.39/0.62 (define @t56 () (=> @t55 (= @t54 @t53))) % 0.39/0.62 (define @t57 () (and @t56 @t52)) % 0.39/0.62 (define @t58 () (tptp.powerset (tptp.the_carrier @t2))) % 0.39/0.62 (define @t59 () (tptp.element @t53 @t58)) % 0.39/0.62 (define @t60 () (=> @t59 @t57)) % 0.39/0.62 (define @t61 () (@list @t53)) % 0.39/0.62 (define @t62 () (forall @t61 @t60)) % 0.39/0.62 (define @t63 () (=> @t30 @t62)) % 0.39/0.62 (define @t64 () (forall @t31 @t63)) % 0.39/0.62 (define @t65 () (tptp.top_str @t2)) % 0.39/0.62 (define @t66 () (=> @t65 @t64)) % 0.39/0.62 (define @t67 () (forall @t7 @t66)) % 0.39/0.62 (define @t68 () (and @t37 @t36)) % 0.39/0.62 (define @t69 () (=> @t68 @t67)) % 0.39/0.62 (define @t70 () (forall @t9 @t69)) % 0.39/0.62 (define @t71 () (tptp.point_neighbourhood @t2 @t1 @t24)) % 0.39/0.62 (define @t72 () (tptp.in @t24 @t2)) % 0.39/0.62 (define @t73 () (tptp.open_subset @t2 @t1)) % 0.39/0.62 (define @t74 () (and @t73 @t72)) % 0.39/0.62 (define @t75 () (=> @t74 @t71)) % 0.39/0.62 (define @t76 () (tptp.element @t24 @t28)) % 0.39/0.62 (define @t77 () (forall @t31 (=> @t76 @t75))) % 0.39/0.62 (define @t78 () (=> @t43 @t77)) % 0.39/0.62 (define @t79 () (forall @t7 @t78)) % 0.39/0.62 (define @t80 () (=> @t40 @t79)) % 0.39/0.62 (define @t81 () (forall @t9 @t80)) % 0.39/0.62 (define @t82 () (not @t81)) % 0.39/0.62 (define @t83 () (@var "BOUND_VARIABLE_8171" $$unsorted)) % 0.39/0.62 (define @t84 () (@var "BOUND_VARIABLE_8169" $$unsorted)) % 0.39/0.62 (define @t85 () (tptp.point_neighbourhood @t84 @t1 @t83)) % 0.39/0.62 (define @t86 () (not (tptp.in @t83 @t84))) % 0.39/0.62 (define @t87 () (not (tptp.element @t83 @t28))) % 0.39/0.62 (define @t88 () (not (tptp.open_subset @t84 @t1))) % 0.39/0.62 (define @t89 () (not (tptp.element @t84 @t29))) % 0.39/0.62 (define @t90 () (not @t36)) % 0.39/0.62 (define @t91 () (not @t37)) % 0.39/0.62 (define @t92 () (or @t38 @t91 @t90 @t89 @t88 @t87 @t86 @t85)) % 0.39/0.62 (define @t93 () (or @t89 @t88 @t87 @t86 @t85)) % 0.39/0.62 (define @t94 () (or @t38 @t91 @t90 @t93)) % 0.39/0.62 (define @t95 () (@list @t1 @t84 @t83)) % 0.39/0.62 (define @t96 () (forall @t95 @t94)) % 0.39/0.62 (define @t97 () (@list @t84 @t83)) % 0.39/0.62 (define @t98 () (forall @t97 @t94)) % 0.39/0.62 (define @t99 () (forall @t97 @t93)) % 0.39/0.62 (define @t100 () (@var "BOUND_VARIABLE_8152" $$unsorted)) % 0.39/0.62 (define @t101 () (or @t38 @t91 @t90 @t99)) % 0.39/0.62 (define @t102 () (tptp.point_neighbourhood @t2 @t1 @t100)) % 0.39/0.62 (define @t103 () (not (tptp.in @t100 @t2))) % 0.39/0.62 (define @t104 () (not (tptp.element @t100 @t28))) % 0.39/0.62 (define @t105 () (not @t73)) % 0.39/0.62 (define @t106 () (not @t43)) % 0.39/0.62 (define @t107 () (or @t106 @t105 @t104 @t103 @t102)) % 0.39/0.62 (define @t108 () (@list @t2 @t100)) % 0.39/0.62 (define @t109 () (forall @t108 @t107)) % 0.39/0.62 (define @t110 () (or @t38 @t91 @t90 @t109)) % 0.39/0.62 (define @t111 () (or @t38 @t91 @t90)) % 0.39/0.62 (define @t112 () (not @t39)) % 0.39/0.62 (define @t113 () (or @t112 @t91 @t90)) % 0.39/0.62 (define @t114 () (or @t91 @t90)) % 0.39/0.62 (define @t115 () (not @t68)) % 0.39/0.62 (define @t116 () (not @t40)) % 0.39/0.62 (define @t117 () (or @t104 @t103 @t102)) % 0.39/0.62 (define @t118 () (or @t106 @t105 @t117)) % 0.39/0.62 (define @t119 () (forall @t108 @t118)) % 0.39/0.62 (define @t120 () (@list @t100)) % 0.39/0.62 (define @t121 () (forall @t120 @t118)) % 0.39/0.62 (define @t122 () (forall @t120 @t117)) % 0.39/0.62 (define @t123 () (@list @t24)) % 0.39/0.62 (define @t124 () (or @t106 @t105 @t122)) % 0.39/0.62 (define @t125 () (not @t72)) % 0.39/0.62 (define @t126 () (not @t76)) % 0.39/0.62 (define @t127 () (or @t126 @t125 @t71)) % 0.39/0.62 (define @t128 () (forall @t31 @t127)) % 0.39/0.62 (define @t129 () (or @t106 @t105 @t128)) % 0.39/0.62 (define @t130 () (or @t105 @t128)) % 0.39/0.62 (define @t131 () (or @t105 @t127)) % 0.39/0.62 (define @t132 () (or @t126 @t105 @t125 @t71)) % 0.39/0.62 (define @t133 () (or @t105 @t125 @t71)) % 0.39/0.62 (define @t134 () (forall @t95 @t92)) % 0.39/0.62 (define @t135 () (@quantifiers_skolemize @t134 1)) % 0.39/0.62 (define @t136 () (@quantifiers_skolemize @t134 2)) % 0.39/0.62 (define @t137 () (tptp.in @t136 @t135)) % 0.39/0.62 (define @t138 () (@quantifiers_skolemize @t134 0)) % 0.39/0.62 (define @t139 () (tptp.point_neighbourhood @t135 @t138 @t136)) % 0.39/0.62 (define @t140 () (not @t137)) % 0.39/0.62 (define @t141 () (tptp.the_carrier @t138)) % 0.39/0.62 (define @t142 () (tptp.element @t136 @t141)) % 0.39/0.62 (define @t143 () (not @t142)) % 0.39/0.62 (define @t144 () (tptp.open_subset @t135 @t138)) % 0.39/0.62 (define @t145 () (not @t144)) % 0.39/0.62 (define @t146 () (tptp.element @t135 (tptp.powerset @t141))) % 0.39/0.62 (define @t147 () (not @t146)) % 0.39/0.62 (define @t148 () (tptp.top_str @t138)) % 0.39/0.62 (define @t149 () (not @t148)) % 0.39/0.62 (define @t150 () (tptp.topological_space @t138)) % 0.39/0.62 (define @t151 () (not @t150)) % 0.39/0.62 (define @t152 () (tptp.empty_carrier @t138)) % 0.39/0.62 (define @t153 () (or @t152 @t151 @t149 @t147 @t145 @t143 @t140 @t139)) % 0.39/0.62 (define @t154 () (@list true)) % 0.39/0.62 (define @t155 () (@list @t153)) % 0.39/0.62 (define @t156 () (@var "BOUND_VARIABLE_8107" $$unsorted)) % 0.39/0.62 (define @t157 () (@var "BOUND_VARIABLE_8109" $$unsorted)) % 0.39/0.62 (define @t158 () (@var "BOUND_VARIABLE_8105" $$unsorted)) % 0.39/0.62 (define @t159 () (and (or (not (tptp.open_subset @t157 @t158)) (= @t157 (tptp.interior @t158 @t157))) (or (not (= @t156 (tptp.interior @t1 @t156))) (tptp.open_subset @t156 @t1)))) % 0.39/0.62 (define @t160 () (not (tptp.element @t157 (tptp.powerset (tptp.the_carrier @t158))))) % 0.39/0.62 (define @t161 () (not (tptp.element @t156 @t29))) % 0.39/0.62 (define @t162 () (not (tptp.top_str @t158))) % 0.39/0.62 (define @t163 () (or @t162 @t161 @t160 @t159)) % 0.39/0.62 (define @t164 () (or @t91 @t90 @t163)) % 0.39/0.62 (define @t165 () (forall (@list @t1 @t158 @t156 @t157) @t164)) % 0.39/0.62 (define @t166 () (@list @t158 @t156 @t157)) % 0.39/0.62 (define @t167 () (forall @t166 @t164)) % 0.39/0.62 (define @t168 () (forall @t166 @t163)) % 0.39/0.62 (define @t169 () (@var "BOUND_VARIABLE_8076" $$unsorted)) % 0.39/0.62 (define @t170 () (@var "BOUND_VARIABLE_8074" $$unsorted)) % 0.39/0.62 (define @t171 () (or @t91 @t90 @t168)) % 0.39/0.62 (define @t172 () (and (or (not (tptp.open_subset @t169 @t2)) (= @t169 (tptp.interior @t2 @t169))) (or (not (= @t170 (tptp.interior @t1 @t170))) (tptp.open_subset @t170 @t1)))) % 0.39/0.62 (define @t173 () (not (tptp.element @t169 @t58))) % 0.39/0.62 (define @t174 () (not (tptp.element @t170 @t29))) % 0.39/0.62 (define @t175 () (not @t65)) % 0.39/0.62 (define @t176 () (or @t175 @t174 @t173 @t172)) % 0.39/0.62 (define @t177 () (@list @t2 @t170 @t169)) % 0.39/0.62 (define @t178 () (forall @t177 @t176)) % 0.39/0.62 (define @t179 () (or @t91 @t90 @t178)) % 0.39/0.62 (define @t180 () (or @t174 @t173 @t172)) % 0.39/0.62 (define @t181 () (or @t175 @t180)) % 0.39/0.62 (define @t182 () (forall @t177 @t181)) % 0.39/0.62 (define @t183 () (@list @t170 @t169)) % 0.39/0.62 (define @t184 () (forall @t183 @t181)) % 0.39/0.62 (define @t185 () (forall @t183 @t180)) % 0.39/0.62 (define @t186 () (@var "BOUND_VARIABLE_8053" $$unsorted)) % 0.39/0.62 (define @t187 () (or @t175 @t185)) % 0.39/0.62 (define @t188 () (= @t24 @t25)) % 0.39/0.62 (define @t189 () (or (not @t188) @t51)) % 0.39/0.62 (define @t190 () (and (or (not (tptp.open_subset @t186 @t2)) (= @t186 (tptp.interior @t2 @t186))) @t189)) % 0.39/0.62 (define @t191 () (not (tptp.element @t186 @t58))) % 0.39/0.62 (define @t192 () (not @t30)) % 0.39/0.62 (define @t193 () (or @t192 @t191 @t190)) % 0.39/0.62 (define @t194 () (@list @t24 @t186)) % 0.39/0.62 (define @t195 () (forall @t194 @t193)) % 0.39/0.62 (define @t196 () (or @t191 @t190)) % 0.39/0.62 (define @t197 () (or @t192 @t196)) % 0.39/0.62 (define @t198 () (forall @t194 @t197)) % 0.39/0.62 (define @t199 () (@list @t186)) % 0.39/0.62 (define @t200 () (forall @t199 @t197)) % 0.39/0.62 (define @t201 () (forall @t199 @t196)) % 0.39/0.62 (define @t202 () (or @t192 @t201)) % 0.39/0.62 (define @t203 () (= @t53 @t54)) % 0.39/0.62 (define @t204 () (not @t59)) % 0.39/0.62 (define @t205 () (forall @t61 (or @t204 (and (or (not @t55) @t203) @t189)))) % 0.39/0.62 (define @t206 () (and (=> @t55 @t203) (=> @t188 @t51))) % 0.39/0.62 (define @t207 () (tptp.interior @t138 @t135)) % 0.39/0.62 (define @t208 () (= @t135 @t207)) % 0.39/0.62 (define @t209 () (or @t145 @t208)) % 0.39/0.62 (define @t210 () (and @t209 (or (not @t208) @t144))) % 0.39/0.62 (define @t211 () (or @t151 @t149 @t149 @t147 @t147 @t210)) % 0.39/0.62 (define @t212 () (tptp.in @t136 @t207)) % 0.39/0.62 (define @t213 () (@var "BOUND_VARIABLE_7928" $$unsorted)) % 0.39/0.62 (define @t214 () (@var "BOUND_VARIABLE_7926" $$unsorted)) % 0.39/0.62 (define @t215 () (= (tptp.point_neighbourhood @t213 @t1 @t214) (tptp.in @t214 (tptp.interior @t1 @t213)))) % 0.39/0.62 (define @t216 () (not (tptp.element @t213 @t29))) % 0.39/0.62 (define @t217 () (not (tptp.element @t214 @t28))) % 0.39/0.62 (define @t218 () (or @t217 @t216 @t215)) % 0.39/0.62 (define @t219 () (or @t38 @t91 @t90 @t218)) % 0.39/0.62 (define @t220 () (forall (@list @t1 @t214 @t213) @t219)) % 0.39/0.62 (define @t221 () (@list @t214 @t213)) % 0.39/0.62 (define @t222 () (forall @t221 @t219)) % 0.39/0.62 (define @t223 () (forall @t221 @t218)) % 0.39/0.62 (define @t224 () (@var "BOUND_VARIABLE_7904" $$unsorted)) % 0.39/0.62 (define @t225 () (or @t38 @t91 @t90 @t223)) % 0.39/0.62 (define @t226 () (= (tptp.point_neighbourhood @t224 @t1 @t2) (tptp.in @t2 (tptp.interior @t1 @t224)))) % 0.39/0.62 (define @t227 () (not (tptp.element @t224 @t29))) % 0.39/0.62 (define @t228 () (not @t33)) % 0.39/0.62 (define @t229 () (or @t228 @t227 @t226)) % 0.39/0.62 (define @t230 () (@list @t2 @t224)) % 0.39/0.62 (define @t231 () (forall @t230 @t229)) % 0.39/0.62 (define @t232 () (or @t38 @t91 @t90 @t231)) % 0.39/0.62 (define @t233 () (or @t227 @t226)) % 0.39/0.62 (define @t234 () (or @t228 @t233)) % 0.39/0.62 (define @t235 () (forall @t230 @t234)) % 0.39/0.62 (define @t236 () (@list @t224)) % 0.39/0.62 (define @t237 () (forall @t236 @t234)) % 0.39/0.62 (define @t238 () (forall @t236 @t233)) % 0.39/0.62 (define @t239 () (or @t228 @t238)) % 0.39/0.62 (define @t240 () (forall @t31 (or @t192 @t27))) % 0.39/0.62 (define @t241 () (= @t139 @t212)) % 0.39/0.62 (define @t242 () (or @t152 @t151 @t149 @t143 @t147 @t241)) % 0.39/0.62 (define @t243 () (not @t212)) % 0.39/0.62 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.39/0.62 (assume @p2 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.39/0.62 (assume @p3 (forall @t9 (=> @t11 (forall @t7 (=> @t6 (and @t5 @t10)))))) % 0.39/0.62 (assume @p4 (forall @t9 (=> @t13 (forall @t7 (=> @t6 (and @t5 @t10 @t12)))))) % 0.39/0.62 (assume @p5 (forall @t9 (=> @t15 (forall @t7 (=> @t6 (and @t5 @t10 @t14 @t12)))))) % 0.39/0.62 (assume @p6 (forall @t9 (=> @t16 (forall @t7 (=> @t6 (and @t5 (tptp.natural @t2) @t10 @t14 @t12)))))) % 0.39/0.62 (assume @p7 (forall @t9 (=> @t17 (and @t8 @t11 @t13 @t15 @t16)))) % 0.39/0.62 (assume @p8 (forall @t9 (=> @t8 (forall @t7 (=> @t20 @t18))))) % 0.39/0.62 (assume @p9 (forall @t9 (=> @t11 (forall @t7 (=> @t20 (and @t18 @t21)))))) % 0.39/0.62 (assume @p10 (forall @t9 (=> @t13 (forall @t7 (=> @t20 (and @t18 @t21 @t22)))))) % 0.39/0.62 (assume @p11 (forall @t9 (=> @t15 (forall @t7 (=> @t20 (and @t18 @t21 @t22 @t23)))))) % 0.39/0.62 (assume @p12 (forall @t9 (=> @t16 @t15))) % 0.39/0.62 (assume @p13 (forall @t9 (=> @t16 (forall @t7 (=> @t20 (and @t18 @t21 @t22 @t23 (tptp.v5_membered @t2))))))) % 0.39/0.62 (assume @p14 (forall @t9 (=> @t15 @t13))) % 0.39/0.62 (assume @p15 (forall @t9 (=> @t13 @t11))) % 0.39/0.62 (assume @p16 (forall @t9 (=> @t11 @t8))) % 0.39/0.62 (assume @p17 @t42) % 0.39/0.62 (assume @p18 (forall @t4 (=> (and @t36 @t43) (tptp.element (tptp.interior @t1 @t2) @t29)))) % 0.39/0.62 (assume @p19 true) % 0.39/0.62 (assume @p20 (forall @t9 (=> @t36 @t44))) % 0.39/0.62 (assume @p21 (forall @t4 (=> @t45 (forall @t31 (=> @t26 @t30))))) % 0.39/0.62 (assume @p22 (exists @t9 @t36)) % 0.39/0.62 (assume @p23 (exists @t9 @t44)) % 0.39/0.62 (assume @p24 (forall @t4 (=> @t45 (exists @t31 @t26)))) % 0.39/0.62 (assume @p25 (forall @t9 (exists @t7 @t6))) % 0.39/0.62 (assume @p26 (forall @t9 (not (tptp.empty @t19)))) % 0.39/0.62 (assume @p27 (and (tptp.empty tptp.empty_set) (tptp.v1_membered tptp.empty_set) (tptp.v2_membered tptp.empty_set) (tptp.v3_membered tptp.empty_set) (tptp.v4_membered tptp.empty_set) (tptp.v5_membered tptp.empty_set))) % 0.39/0.62 (assume @p28 (exists @t9 (and @t46 @t8 @t11 @t13 @t15 @t16))) % 0.39/0.62 (assume @p29 (forall @t9 (=> @t46 (exists @t7 (and @t20 (not @t47)))))) % 0.39/0.62 (assume @p30 (forall @t9 (exists @t7 (and @t20 @t47)))) % 0.39/0.62 (assume @p31 (forall @t4 (tptp.subset @t1 @t1))) % 0.39/0.62 (assume @p32 (forall @t4 (=> @t3 @t48))) % 0.39/0.62 (assume @p33 (forall @t4 (=> @t48 (or @t47 @t3)))) % 0.39/0.62 (assume @p34 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.39/0.62 (assume @p35 (forall @t50 (=> (and @t3 @t49) (tptp.element @t1 @t24)))) % 0.39/0.62 (assume @p36 @t70) % 0.39/0.62 (assume @p37 @t82) % 0.39/0.62 (assume @p38 (forall @t50 (not (and @t3 @t49 (tptp.empty @t24))))) % 0.39/0.62 (assume @p39 (forall @t9 (=> @t17 (= @t1 tptp.empty_set)))) % 0.39/0.62 (assume @p40 (forall @t4 (not (and @t3 @t47)))) % 0.39/0.62 (assume @p41 (forall @t4 (not (and @t17 (not (= @t1 @t2)) @t47)))) % 0.39/0.62 (step @p42 :rule evaluate :args ((= false true))) % 0.39/0.62 (step @p43 :rule aci_norm :args ((= @t94 @t92))) % 0.39/0.62 (step @p44 :rule cong :premises (@p43) :args (@t96)) % 0.39/0.62 (step @p45 :rule quant-merge-prenex :args ((= (forall @t9 @t98) @t96))) % 0.39/0.62 (step @p46 :rule alpha_equiv :args (@t99 (@list @t84 @t83) (@list @t2 @t100))) % 0.39/0.62 (step @p47 :rule refl :args (@t90)) % 0.39/0.62 (step @p48 :rule refl :args (@t91)) % 0.39/0.62 (step @p49 :rule refl :args (@t38)) % 0.39/0.62 (step @p50 :rule nary_cong :premises (@p49 @p48 @p47 @p46) :args (@t101)) % 0.39/0.62 (step @p51 :rule quant-miniscope-or :args ((= @t98 @t101))) % 0.39/0.62 (step @p52 :rule trans :premises (@p51 @p50)) % 0.39/0.62 (step @p53 :rule symm :premises (@p52)) % 0.39/0.62 (step @p54 :rule cong :premises (@p53) :args ((forall @t9 @t110))) % 0.39/0.62 (step @p55 :rule trans :premises (@p54 @p45)) % 0.39/0.62 (step @p56 :rule trans :premises (@p55 @p44)) % 0.39/0.62 (step @p57 :rule aci_norm :args ((= (or @t111 @t109) @t110))) % 0.39/0.62 (step @p58 :rule refl :args (@t109)) % 0.39/0.62 (step @p59 :rule bool-double-not-elim :args (@t38)) % 0.39/0.62 (step @p60 :rule nary_cong :premises (@p59 @p48 @p47) :args (@t113)) % 0.39/0.62 (step @p61 :rule aci_norm :args ((= (or @t112 @t114) @t113))) % 0.39/0.62 (step @p62 :rule trans :premises (@p61 @p60)) % 0.39/0.62 (step @p63 :rule bool-and-de-morgan :args (@t37 @t36 true)) % 0.39/0.62 (step @p64 :rule refl :args (@t112)) % 0.39/0.62 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t112 @t115))) % 0.39/0.62 (step @p66 :rule bool-and-de-morgan :args (@t39 @t37 (and @t36))) % 0.39/0.62 (step @p67 :rule trans :premises (@p66 @p65)) % 0.39/0.62 (step @p68 :rule trans :premises (@p67 @p62)) % 0.39/0.62 (step @p69 :rule nary_cong :premises (@p68 @p58) :args ((or @t116 @t109))) % 0.39/0.62 (step @p70 :rule trans :premises (@p69 @p57)) % 0.39/0.62 (step @p71 :rule bool-impl-elim :args (@t40 @t109)) % 0.39/0.62 (step @p72 :rule trans :premises (@p71 @p70)) % 0.39/0.62 (step @p73 :rule cong :premises (@p72) :args ((forall @t9 (=> @t40 @t109)))) % 0.39/0.62 (step @p74 :rule trans :premises (@p73 @p56)) % 0.39/0.62 (step @p75 :rule aci_norm :args ((= @t118 @t107))) % 0.39/0.62 (step @p76 :rule cong :premises (@p75) :args (@t119)) % 0.39/0.62 (step @p77 :rule quant-merge-prenex :args ((= (forall @t7 @t121) @t119))) % 0.39/0.62 (step @p78 :rule alpha_equiv :args (@t122 (@list @t100) @t123)) % 0.39/0.62 (step @p79 :rule refl :args (@t105)) % 0.39/0.62 (step @p80 :rule refl :args (@t106)) % 0.39/0.62 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78) :args (@t124)) % 0.39/0.62 (step @p82 :rule quant-miniscope-or :args ((= @t121 @t124))) % 0.39/0.62 (step @p83 :rule trans :premises (@p82 @p81)) % 0.39/0.62 (step @p84 :rule symm :premises (@p83)) % 0.39/0.62 (step @p85 :rule cong :premises (@p84) :args ((forall @t7 @t129))) % 0.39/0.62 (step @p86 :rule trans :premises (@p85 @p77)) % 0.39/0.62 (step @p87 :rule trans :premises (@p86 @p76)) % 0.39/0.62 (step @p88 :rule aci_norm :args ((= (or @t106 @t130) @t129))) % 0.39/0.62 (step @p89 :rule bool-impl-elim :args (@t43 @t130)) % 0.39/0.62 (step @p90 :rule trans :premises (@p89 @p88)) % 0.39/0.62 (step @p91 :rule cong :premises (@p90) :args ((forall @t7 (=> @t43 @t130)))) % 0.39/0.62 (step @p92 :rule trans :premises (@p91 @p87)) % 0.39/0.62 (step @p93 :rule quant-miniscope-or :args ((= (forall @t31 @t131) @t130))) % 0.39/0.62 (step @p94 :rule aci_norm :args ((= @t132 @t131))) % 0.39/0.62 (step @p95 :rule cong :premises (@p94) :args ((forall @t31 @t132))) % 0.39/0.62 (step @p96 :rule trans :premises (@p95 @p93)) % 0.39/0.62 (step @p97 :rule aci_norm :args ((= (or @t126 @t133) @t132))) % 0.39/0.62 (step @p98 :rule aci_norm :args ((= (or (or @t105 @t125) @t71) @t133))) % 0.39/0.62 (step @p99 :rule refl :args (@t71)) % 0.39/0.62 (step @p100 :rule bool-and-de-morgan :args (@t73 @t72 true)) % 0.39/0.62 (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or (not @t74) @t71))) % 0.39/0.62 (step @p102 :rule trans :premises (@p101 @p98)) % 0.39/0.62 (step @p103 :rule bool-impl-elim :args (@t74 @t71)) % 0.39/0.62 (step @p104 :rule trans :premises (@p103 @p102)) % 0.39/0.62 (step @p105 :rule refl :args (@t126)) % 0.39/0.62 (step @p106 :rule nary_cong :premises (@p105 @p104) :args ((or @t126 @t75))) % 0.39/0.62 (step @p107 :rule trans :premises (@p106 @p97)) % 0.39/0.62 (step @p108 :rule bool-impl-elim :args (@t76 @t75)) % 0.39/0.62 (step @p109 :rule trans :premises (@p108 @p107)) % 0.39/0.62 (step @p110 :rule cong :premises (@p109) :args (@t77)) % 0.39/0.62 (step @p111 :rule trans :premises (@p110 @p96)) % 0.39/0.62 (step @p112 :rule refl :args (@t43)) % 0.39/0.62 (step @p113 :rule cong :premises (@p112 @p111) :args (@t78)) % 0.39/0.62 (step @p114 :rule cong :premises (@p113) :args (@t79)) % 0.39/0.62 (step @p115 :rule trans :premises (@p114 @p92)) % 0.39/0.62 (step @p116 :rule refl :args (@t40)) % 0.39/0.62 (step @p117 :rule cong :premises (@p116 @p115) :args (@t80)) % 0.39/0.62 (step @p118 :rule cong :premises (@p117) :args (@t81)) % 0.39/0.62 (step @p119 :rule trans :premises (@p118 @p74)) % 0.39/0.62 (step @p120 :rule cong :premises (@p119) :args (@t82)) % 0.39/0.62 (step @p121 :rule eq_resolve :premises (@p37 @p120)) % 0.39/0.62 (step @p122 :rule skolemize :premises (@p121)) % 0.39/0.62 (step @p123 :rule bool-double-not-elim :args (@t137)) % 0.39/0.62 (step @p124 :rule refl :args (@t153)) % 0.39/0.62 (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or @t153 (not @t140)))) % 0.39/0.62 (step @p126 :rule cnf_or_neg :args (@t153 6)) % 0.39/0.62 (step @p127 :rule eq_resolve :premises (@p126 @p125)) % 0.39/0.62 (step @p128 :rule reordering :premises (@p127) :args ((or @t137 @t153))) % 0.39/0.62 (step @p129 :rule chain_m_resolution :premises (@p128 @p122) :args (@t137 @t154 @t155)) % 0.39/0.62 (step @p130 :rule true_intro :premises (@p129)) % 0.39/0.62 (step @p131 :rule aci_norm :args ((= @t164 (or @t91 @t90 @t162 @t161 @t160 @t159)))) % 0.39/0.62 (step @p132 :rule cong :premises (@p131) :args (@t165)) % 0.39/0.62 (step @p133 :rule quant-merge-prenex :args ((= (forall @t9 @t167) @t165))) % 0.39/0.62 (step @p134 :rule alpha_equiv :args (@t168 (@list @t158 @t156 @t157) (@list @t2 @t170 @t169))) % 0.39/0.62 (step @p135 :rule nary_cong :premises (@p48 @p47 @p134) :args (@t171)) % 0.39/0.62 (step @p136 :rule quant-miniscope-or :args ((= @t167 @t171))) % 0.39/0.62 (step @p137 :rule trans :premises (@p136 @p135)) % 0.39/0.62 (step @p138 :rule symm :premises (@p137)) % 0.39/0.62 (step @p139 :rule cong :premises (@p138) :args ((forall @t9 @t179))) % 0.39/0.62 (step @p140 :rule trans :premises (@p139 @p133)) % 0.39/0.62 (step @p141 :rule trans :premises (@p140 @p132)) % 0.39/0.62 (step @p142 :rule aci_norm :args ((= (or @t114 @t178) @t179))) % 0.39/0.62 (step @p143 :rule refl :args (@t178)) % 0.39/0.62 (step @p144 :rule nary_cong :premises (@p63 @p143) :args ((or @t115 @t178))) % 0.39/0.62 (step @p145 :rule trans :premises (@p144 @p142)) % 0.39/0.62 (step @p146 :rule bool-impl-elim :args (@t68 @t178)) % 0.39/0.62 (step @p147 :rule trans :premises (@p146 @p145)) % 0.39/0.62 (step @p148 :rule cong :premises (@p147) :args ((forall @t9 (=> @t68 @t178)))) % 0.39/0.62 (step @p149 :rule trans :premises (@p148 @p141)) % 0.39/0.62 (step @p150 :rule aci_norm :args ((= @t181 @t176))) % 0.39/0.62 (step @p151 :rule cong :premises (@p150) :args (@t182)) % 0.39/0.62 (step @p152 :rule quant-merge-prenex :args ((= (forall @t7 @t184) @t182))) % 0.39/0.62 (step @p153 :rule alpha_equiv :args (@t185 (@list @t170 @t169) (@list @t24 @t186))) % 0.39/0.62 (step @p154 :rule refl :args (@t175)) % 0.39/0.62 (step @p155 :rule nary_cong :premises (@p154 @p153) :args (@t187)) % 0.39/0.62 (step @p156 :rule quant-miniscope-or :args ((= @t184 @t187))) % 0.39/0.62 (step @p157 :rule trans :premises (@p156 @p155)) % 0.39/0.62 (step @p158 :rule symm :premises (@p157)) % 0.39/0.62 (step @p159 :rule cong :premises (@p158) :args ((forall @t7 (or @t175 @t195)))) % 0.39/0.62 (step @p160 :rule trans :premises (@p159 @p152)) % 0.39/0.62 (step @p161 :rule trans :premises (@p160 @p151)) % 0.39/0.62 (step @p162 :rule bool-impl-elim :args (@t65 @t195)) % 0.39/0.62 (step @p163 :rule cong :premises (@p162) :args ((forall @t7 (=> @t65 @t195)))) % 0.39/0.62 (step @p164 :rule trans :premises (@p163 @p161)) % 0.39/0.62 (step @p165 :rule aci_norm :args ((= @t197 @t193))) % 0.39/0.62 (step @p166 :rule cong :premises (@p165) :args (@t198)) % 0.39/0.62 (step @p167 :rule quant-merge-prenex :args ((= (forall @t31 @t200) @t198))) % 0.39/0.62 (step @p168 :rule alpha_equiv :args (@t201 (@list @t186) (@list @t53))) % 0.39/0.62 (step @p169 :rule refl :args (@t192)) % 0.39/0.62 (step @p170 :rule nary_cong :premises (@p169 @p168) :args (@t202)) % 0.39/0.62 (step @p171 :rule quant-miniscope-or :args ((= @t200 @t202))) % 0.39/0.62 (step @p172 :rule trans :premises (@p171 @p170)) % 0.39/0.62 (step @p173 :rule symm :premises (@p172)) % 0.39/0.62 (step @p174 :rule cong :premises (@p173) :args ((forall @t31 (or @t192 @t205)))) % 0.39/0.62 (step @p175 :rule trans :premises (@p174 @p167)) % 0.39/0.62 (step @p176 :rule trans :premises (@p175 @p166)) % 0.39/0.62 (step @p177 :rule bool-impl-elim :args (@t30 @t205)) % 0.39/0.62 (step @p178 :rule cong :premises (@p177) :args ((forall @t31 (=> @t30 @t205)))) % 0.39/0.62 (step @p179 :rule trans :premises (@p178 @p176)) % 0.39/0.62 (step @p180 :rule bool-impl-elim :args (@t188 @t51)) % 0.39/0.62 (step @p181 :rule bool-impl-elim :args (@t55 @t203)) % 0.39/0.62 (step @p182 :rule nary_cong :premises (@p181 @p180) :args (@t206)) % 0.39/0.62 (step @p183 :rule refl :args (@t204)) % 0.39/0.62 (step @p184 :rule nary_cong :premises (@p183 @p182) :args ((or @t204 @t206))) % 0.39/0.62 (step @p185 :rule bool-impl-elim :args (@t59 @t206)) % 0.39/0.62 (step @p186 :rule trans :premises (@p185 @p184)) % 0.39/0.62 (step @p187 :rule cong :premises (@p186) :args ((forall @t61 (=> @t59 @t206)))) % 0.39/0.62 (step @p188 :rule refl :args (@t51)) % 0.39/0.62 (step @p189 :rule eq-symm :args (@t25 @t24)) % 0.39/0.62 (step @p190 :rule cong :premises (@p189 @p188) :args (@t52)) % 0.39/0.62 (step @p191 :rule eq-symm :args (@t54 @t53)) % 0.39/0.62 (step @p192 :rule refl :args (@t55)) % 0.39/0.62 (step @p193 :rule cong :premises (@p192 @p191) :args (@t56)) % 0.39/0.62 (step @p194 :rule nary_cong :premises (@p193 @p190) :args (@t57)) % 0.39/0.62 (step @p195 :rule refl :args (@t59)) % 0.39/0.62 (step @p196 :rule cong :premises (@p195 @p194) :args (@t60)) % 0.39/0.62 (step @p197 :rule cong :premises (@p196) :args (@t62)) % 0.39/0.62 (step @p198 :rule trans :premises (@p197 @p187)) % 0.39/0.62 (step @p199 :rule refl :args (@t30)) % 0.39/0.62 (step @p200 :rule cong :premises (@p199 @p198) :args (@t63)) % 0.39/0.62 (step @p201 :rule cong :premises (@p200) :args (@t64)) % 0.39/0.62 (step @p202 :rule trans :premises (@p201 @p179)) % 0.39/0.62 (step @p203 :rule refl :args (@t65)) % 0.39/0.62 (step @p204 :rule cong :premises (@p203 @p202) :args (@t66)) % 0.39/0.62 (step @p205 :rule cong :premises (@p204) :args (@t67)) % 0.39/0.62 (step @p206 :rule trans :premises (@p205 @p164)) % 0.39/0.62 (step @p207 :rule refl :args (@t68)) % 0.39/0.62 (step @p208 :rule cong :premises (@p207 @p206) :args (@t69)) % 0.39/0.62 (step @p209 :rule cong :premises (@p208) :args (@t70)) % 0.39/0.62 (step @p210 :rule trans :premises (@p209 @p149)) % 0.39/0.62 (step @p211 :rule eq_resolve :premises (@p36 @p210)) % 0.39/0.62 (step @p212 :rule instantiate :premises (@p211) :args ((@list @t138 @t138 @t135 @t135))) % 0.39/0.62 (step @p213 :rule bool-double-not-elim :args (@t146)) % 0.39/0.62 (step @p214 :rule nary_cong :premises (@p124 @p213) :args ((or @t153 (not @t147)))) % 0.39/0.62 (step @p215 :rule cnf_or_neg :args (@t153 3)) % 0.39/0.62 (step @p216 :rule eq_resolve :premises (@p215 @p214)) % 0.39/0.62 (step @p217 :rule reordering :premises (@p216) :args ((or @t146 @t153))) % 0.39/0.62 (step @p218 :rule chain_m_resolution :premises (@p217 @p122) :args (@t146 @t154 @t155)) % 0.39/0.62 (step @p219 :rule bool-double-not-elim :args (@t148)) % 0.39/0.62 (step @p220 :rule nary_cong :premises (@p124 @p219) :args ((or @t153 (not @t149)))) % 0.39/0.62 (step @p221 :rule cnf_or_neg :args (@t153 2)) % 0.39/0.62 (step @p222 :rule eq_resolve :premises (@p221 @p220)) % 0.39/0.62 (step @p223 :rule reordering :premises (@p222) :args ((or @t148 @t153))) % 0.39/0.62 (step @p224 :rule chain_m_resolution :premises (@p223 @p122) :args (@t148 @t154 @t155)) % 0.39/0.62 (step @p225 :rule bool-double-not-elim :args (@t150)) % 0.39/0.62 (step @p226 :rule nary_cong :premises (@p124 @p225) :args ((or @t153 (not @t151)))) % 0.39/0.62 (step @p227 :rule cnf_or_neg :args (@t153 1)) % 0.39/0.62 (step @p228 :rule eq_resolve :premises (@p227 @p226)) % 0.39/0.62 (step @p229 :rule reordering :premises (@p228) :args ((or @t150 @t153))) % 0.39/0.62 (step @p230 :rule chain_m_resolution :premises (@p229 @p122) :args (@t150 @t154 @t155)) % 0.39/0.62 (step @p231 :rule cnf_or_pos :args (@t211)) % 0.39/0.62 (step @p232 :rule factoring :premises (@p231)) % 0.39/0.62 (step @p233 :rule reordering :premises (@p232) :args ((or @t151 @t149 @t147 @t210 (not @t211)))) % 0.39/0.62 (step @p234 :rule chain_m_resolution :premises (@p233 @p230 @p224 @p218 @p212) :args (@t210 (@list false false false false) (@list @t150 @t148 @t146 @t211))) % 0.39/0.62 (step @p235 :rule cnf_and_pos :args (@t210 0)) % 0.39/0.62 (step @p236 :rule reordering :premises (@p235) :args ((or @t209 (not @t210)))) % 0.39/0.62 (step @p237 :rule chain_m_resolution :premises (@p236 @p234) :args (@t209 (@list false) (@list @t210))) % 0.39/0.62 (step @p238 :rule bool-double-not-elim :args (@t144)) % 0.39/0.62 (step @p239 :rule nary_cong :premises (@p124 @p238) :args ((or @t153 (not @t145)))) % 0.39/0.62 (step @p240 :rule cnf_or_neg :args (@t153 4)) % 0.39/0.62 (step @p241 :rule eq_resolve :premises (@p240 @p239)) % 0.39/0.62 (step @p242 :rule reordering :premises (@p241) :args ((or @t144 @t153))) % 0.39/0.62 (step @p243 :rule chain_m_resolution :premises (@p242 @p122) :args (@t144 @t154 @t155)) % 0.39/0.62 (step @p244 :rule cnf_or_pos :args (@t209)) % 0.39/0.62 (step @p245 :rule reordering :premises (@p244) :args ((or @t145 @t208 (not @t209)))) % 0.39/0.62 (step @p246 :rule chain_m_resolution :premises (@p245 @p243 @p237) :args (@t208 (@list false false) (@list @t144 @t209))) % 0.39/0.62 (step @p247 :rule symm :premises (@p246)) % 0.39/0.62 (step @p248 :rule refl :args (@t136)) % 0.39/0.62 (step @p249 :rule cong :premises (@p248 @p247) :args (@t212)) % 0.39/0.62 (step @p250 :rule aci_norm :args ((= @t219 (or @t38 @t91 @t90 @t217 @t216 @t215)))) % 0.39/0.62 (step @p251 :rule cong :premises (@p250) :args (@t220)) % 0.39/0.62 (step @p252 :rule quant-merge-prenex :args ((= (forall @t9 @t222) @t220))) % 0.39/0.62 (step @p253 :rule alpha_equiv :args (@t223 (@list @t214 @t213) (@list @t2 @t224))) % 0.39/0.62 (step @p254 :rule nary_cong :premises (@p49 @p48 @p47 @p253) :args (@t225)) % 0.39/0.62 (step @p255 :rule quant-miniscope-or :args ((= @t222 @t225))) % 0.39/0.62 (step @p256 :rule trans :premises (@p255 @p254)) % 0.39/0.62 (step @p257 :rule symm :premises (@p256)) % 0.39/0.62 (step @p258 :rule cong :premises (@p257) :args ((forall @t9 @t232))) % 0.39/0.62 (step @p259 :rule trans :premises (@p258 @p252)) % 0.39/0.62 (step @p260 :rule trans :premises (@p259 @p251)) % 0.39/0.62 (step @p261 :rule aci_norm :args ((= (or @t111 @t231) @t232))) % 0.39/0.62 (step @p262 :rule refl :args (@t231)) % 0.39/0.62 (step @p263 :rule nary_cong :premises (@p68 @p262) :args ((or @t116 @t231))) % 0.39/0.62 (step @p264 :rule trans :premises (@p263 @p261)) % 0.39/0.62 (step @p265 :rule bool-impl-elim :args (@t40 @t231)) % 0.39/0.62 (step @p266 :rule trans :premises (@p265 @p264)) % 0.39/0.62 (step @p267 :rule cong :premises (@p266) :args ((forall @t9 (=> @t40 @t231)))) % 0.39/0.62 (step @p268 :rule trans :premises (@p267 @p260)) % 0.39/0.62 (step @p269 :rule aci_norm :args ((= @t234 @t229))) % 0.39/0.62 (step @p270 :rule cong :premises (@p269) :args (@t235)) % 0.39/0.62 (step @p271 :rule quant-merge-prenex :args ((= (forall @t7 @t237) @t235))) % 0.39/0.62 (step @p272 :rule alpha_equiv :args (@t238 (@list @t224) @t123)) % 0.39/0.62 (step @p273 :rule refl :args (@t228)) % 0.39/0.62 (step @p274 :rule nary_cong :premises (@p273 @p272) :args (@t239)) % 0.39/0.62 (step @p275 :rule quant-miniscope-or :args ((= @t237 @t239))) % 0.39/0.62 (step @p276 :rule trans :premises (@p275 @p274)) % 0.39/0.62 (step @p277 :rule symm :premises (@p276)) % 0.39/0.62 (step @p278 :rule cong :premises (@p277) :args ((forall @t7 (or @t228 @t240)))) % 0.39/0.62 (step @p279 :rule trans :premises (@p278 @p271)) % 0.39/0.62 (step @p280 :rule trans :premises (@p279 @p270)) % 0.39/0.62 (step @p281 :rule bool-impl-elim :args (@t33 @t240)) % 0.39/0.62 (step @p282 :rule cong :premises (@p281) :args ((forall @t7 (=> @t33 @t240)))) % 0.39/0.62 (step @p283 :rule trans :premises (@p282 @p280)) % 0.39/0.62 (step @p284 :rule bool-impl-elim :args (@t30 @t27)) % 0.39/0.62 (step @p285 :rule cong :premises (@p284) :args (@t32)) % 0.39/0.62 (step @p286 :rule refl :args (@t33)) % 0.39/0.62 (step @p287 :rule cong :premises (@p286 @p285) :args (@t34)) % 0.39/0.62 (step @p288 :rule cong :premises (@p287) :args (@t35)) % 0.39/0.62 (step @p289 :rule trans :premises (@p288 @p283)) % 0.39/0.62 (step @p290 :rule cong :premises (@p116 @p289) :args (@t41)) % 0.39/0.62 (step @p291 :rule cong :premises (@p290) :args (@t42)) % 0.39/0.62 (step @p292 :rule trans :premises (@p291 @p268)) % 0.39/0.62 (step @p293 :rule eq_resolve :premises (@p17 @p292)) % 0.39/0.62 (step @p294 :rule instantiate :premises (@p293) :args ((@list @t138 @t136 @t135))) % 0.39/0.62 (step @p295 :rule bool-double-not-elim :args (@t142)) % 0.39/0.62 (step @p296 :rule nary_cong :premises (@p124 @p295) :args ((or @t153 (not @t143)))) % 0.39/0.62 (step @p297 :rule cnf_or_neg :args (@t153 5)) % 0.39/0.62 (step @p298 :rule eq_resolve :premises (@p297 @p296)) % 0.39/0.62 (step @p299 :rule reordering :premises (@p298) :args ((or @t142 @t153))) % 0.39/0.62 (step @p300 :rule chain_m_resolution :premises (@p299 @p122) :args (@t142 @t154 @t155)) % 0.39/0.62 (step @p301 :rule cnf_or_neg :args (@t153 0)) % 0.39/0.62 (step @p302 :rule chain_m_resolution :premises (@p301 @p122) :args ((not @t152) @t154 @t155)) % 0.39/0.62 (step @p303 :rule cnf_or_pos :args (@t242)) % 0.39/0.62 (step @p304 :rule reordering :premises (@p303) :args ((or @t152 @t151 @t149 @t147 @t143 @t241 (not @t242)))) % 0.39/0.62 (step @p305 :rule chain_m_resolution :premises (@p304 @p302 @p230 @p224 @p218 @p300 @p294) :args (@t241 (@list true false false false false false) (@list @t152 @t150 @t148 @t146 @t142 @t242))) % 0.39/0.62 (step @p306 :rule cnf_or_neg :args (@t153 7)) % 0.39/0.62 (step @p307 :rule chain_m_resolution :premises (@p306 @p122) :args ((not @t139) @t154 @t155)) % 0.39/0.62 (step @p308 :rule cnf_equiv_pos2 :args (@t241)) % 0.39/0.62 (step @p309 :rule reordering :premises (@p308) :args ((or @t139 @t243 (not @t241)))) % 0.39/0.62 (step @p310 :rule chain_m_resolution :premises (@p309 @p307 @p305) :args (@t243 (@list true false) (@list @t139 @t241))) % 0.39/0.62 (step @p311 :rule false_intro :premises (@p310)) % 0.39/0.62 (step @p312 :rule symm :premises (@p311)) % 0.39/0.62 (step @p313 :rule trans :premises (@p312 @p249 @p130)) % 0.39/0.62 (step @p314 false :rule eq_resolve :premises (@p313 @p42)) % 0.39/0.62 ) % 0.39/0.62 % SZS output end Proof % 0.39/0.62 % cvc5 exiting %------------------------------------------------------------------------------