%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU329+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 : n016.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 08:51:24 AM UTC 2026 % Result : Theorem 0.36s 0.62s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU329+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 % 0.16/0.34 % Computer : n016.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:57:39 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.62 % SZS status Theorem % 0.36/0.62 % SZS output start Proof % 0.36/0.62 ( % 0.36/0.62 (declare-sort $$unsorted 0) % 0.36/0.62 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.62 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.36/0.62 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.36/0.62 (define @t1 () (@var "H" $$unsorted)) % 0.36/0.62 (define @t2 () (@var "A" $$unsorted)) % 0.36/0.62 (define @t3 () (tptp.the_carrier @t2)) % 0.36/0.62 (define @t4 () (@var "G" $$unsorted)) % 0.36/0.62 (define @t5 () (= @t4 (tptp.subset_complement @t3 @t1))) % 0.36/0.62 (define @t6 () (@var "F" $$unsorted)) % 0.36/0.62 (define @t7 () (= @t1 @t6)) % 0.36/0.62 (define @t8 () (=> @t7 @t5)) % 0.36/0.62 (define @t9 () (tptp.powerset @t3)) % 0.36/0.62 (define @t10 () (tptp.element @t1 @t9)) % 0.36/0.62 (define @t11 () (=> @t10 @t8)) % 0.36/0.62 (define @t12 () (@list @t1)) % 0.36/0.62 (define @t13 () (forall @t12 @t11)) % 0.36/0.62 (define @t14 () (@var "B" $$unsorted)) % 0.36/0.62 (define @t15 () (tptp.complements_of_subsets @t3 @t14)) % 0.36/0.62 (define @t16 () (tptp.in @t6 @t15)) % 0.36/0.62 (define @t17 () (@var "E" $$unsorted)) % 0.36/0.62 (define @t18 () (tptp.ordered_pair @t6 @t4)) % 0.36/0.62 (define @t19 () (and (= @t18 @t17) @t16 @t13)) % 0.36/0.62 (define @t20 () (@list @t6 @t4)) % 0.36/0.62 (define @t21 () (exists @t20 @t19)) % 0.36/0.62 (define @t22 () (@var "C" $$unsorted)) % 0.36/0.62 (define @t23 () (tptp.cartesian_product2 @t15 @t22)) % 0.36/0.62 (define @t24 () (tptp.in @t17 @t23)) % 0.36/0.62 (define @t25 () (and @t24 @t21)) % 0.36/0.62 (define @t26 () (@var "D" $$unsorted)) % 0.36/0.62 (define @t27 () (tptp.in @t17 @t26)) % 0.36/0.62 (define @t28 () (= @t27 @t25)) % 0.36/0.62 (define @t29 () (@list @t17)) % 0.36/0.62 (define @t30 () (forall @t29 @t28)) % 0.36/0.62 (define @t31 () (@list @t26)) % 0.36/0.62 (define @t32 () (exists @t31 @t30)) % 0.36/0.62 (define @t33 () (@list @t22)) % 0.36/0.62 (define @t34 () (forall @t33 @t32)) % 0.36/0.62 (define @t35 () (tptp.element @t14 (tptp.powerset @t9))) % 0.36/0.62 (define @t36 () (tptp.one_sorted_str @t2)) % 0.36/0.62 (define @t37 () (and @t36 @t35)) % 0.36/0.62 (define @t38 () (=> @t37 @t34)) % 0.36/0.62 (define @t39 () (@list @t2 @t14)) % 0.36/0.62 (define @t40 () (forall @t39 @t38)) % 0.36/0.62 (define @t41 () (not @t40)) % 0.36/0.62 (define @t42 () (tptp.v4_membered @t2)) % 0.36/0.62 (define @t43 () (tptp.v5_membered @t2)) % 0.36/0.62 (define @t44 () (@list @t2)) % 0.36/0.62 (define @t45 () (tptp.v3_membered @t2)) % 0.36/0.62 (define @t46 () (tptp.v2_membered @t2)) % 0.36/0.62 (define @t47 () (tptp.v1_membered @t2)) % 0.36/0.62 (define @t48 () (tptp.empty @t2)) % 0.36/0.62 (define @t49 () (not @t48)) % 0.36/0.62 (define @t50 () (tptp.v1_xcmplx_0 @t14)) % 0.36/0.62 (define @t51 () (tptp.element @t14 @t2)) % 0.36/0.62 (define @t52 () (@list @t14)) % 0.36/0.62 (define @t53 () (tptp.v1_xreal_0 @t14)) % 0.36/0.62 (define @t54 () (tptp.v1_rat_1 @t14)) % 0.36/0.62 (define @t55 () (tptp.v1_int_1 @t14)) % 0.36/0.62 (define @t56 () (tptp.v1_membered @t14)) % 0.36/0.62 (define @t57 () (tptp.powerset @t2)) % 0.36/0.62 (define @t58 () (tptp.element @t14 @t57)) % 0.36/0.62 (define @t59 () (tptp.v2_membered @t14)) % 0.36/0.62 (define @t60 () (tptp.v3_membered @t14)) % 0.36/0.62 (define @t61 () (tptp.v4_membered @t14)) % 0.36/0.62 (define @t62 () (tptp.empty @t14)) % 0.36/0.62 (define @t63 () (not @t62)) % 0.36/0.62 (define @t64 () (tptp.cartesian_product2 @t2 @t14)) % 0.36/0.62 (define @t65 () (tptp.subset_complement @t2 @t14)) % 0.36/0.62 (define @t66 () (tptp.complements_of_subsets @t2 @t14)) % 0.36/0.62 (define @t67 () (tptp.powerset @t57)) % 0.36/0.62 (define @t68 () (tptp.element @t14 @t67)) % 0.36/0.62 (define @t69 () (@var "O" $$unsorted)) % 0.36/0.62 (define @t70 () (@var "N" $$unsorted)) % 0.36/0.62 (define @t71 () (= @t70 (tptp.subset_complement @t3 @t69))) % 0.36/0.62 (define @t72 () (@var "M" $$unsorted)) % 0.36/0.62 (define @t73 () (= @t69 @t72)) % 0.36/0.62 (define @t74 () (=> @t73 @t71)) % 0.36/0.62 (define @t75 () (tptp.element @t69 @t9)) % 0.36/0.62 (define @t76 () (=> @t75 @t74)) % 0.36/0.62 (define @t77 () (@list @t69)) % 0.36/0.62 (define @t78 () (forall @t77 @t76)) % 0.36/0.62 (define @t79 () (tptp.in @t72 @t15)) % 0.36/0.62 (define @t80 () (tptp.ordered_pair @t72 @t70)) % 0.36/0.62 (define @t81 () (and (= @t80 @t17) @t79 @t78)) % 0.36/0.62 (define @t82 () (@list @t72 @t70)) % 0.36/0.62 (define @t83 () (exists @t82 @t81)) % 0.36/0.62 (define @t84 () (= @t6 @t17)) % 0.36/0.62 (define @t85 () (tptp.in @t6 @t23)) % 0.36/0.62 (define @t86 () (and @t85 @t84 @t83)) % 0.36/0.62 (define @t87 () (@list @t6)) % 0.36/0.62 (define @t88 () (exists @t87 @t86)) % 0.36/0.62 (define @t89 () (= @t27 @t88)) % 0.36/0.62 (define @t90 () (forall @t29 @t89)) % 0.36/0.62 (define @t91 () (exists @t31 @t90)) % 0.36/0.62 (define @t92 () (= @t17 @t6)) % 0.36/0.62 (define @t93 () (@var "L" $$unsorted)) % 0.36/0.62 (define @t94 () (@var "K" $$unsorted)) % 0.36/0.62 (define @t95 () (= @t94 (tptp.subset_complement @t3 @t93))) % 0.36/0.62 (define @t96 () (@var "J" $$unsorted)) % 0.36/0.62 (define @t97 () (= @t93 @t96)) % 0.36/0.62 (define @t98 () (=> @t97 @t95)) % 0.36/0.62 (define @t99 () (tptp.element @t93 @t9)) % 0.36/0.62 (define @t100 () (=> @t99 @t98)) % 0.36/0.62 (define @t101 () (@list @t93)) % 0.36/0.62 (define @t102 () (forall @t101 @t100)) % 0.36/0.62 (define @t103 () (tptp.in @t96 @t15)) % 0.36/0.62 (define @t104 () (tptp.ordered_pair @t96 @t94)) % 0.36/0.62 (define @t105 () (and (= @t104 @t6) @t103 @t102)) % 0.36/0.62 (define @t106 () (@list @t96 @t94)) % 0.36/0.62 (define @t107 () (exists @t106 @t105)) % 0.36/0.62 (define @t108 () (= @t26 @t6)) % 0.36/0.62 (define @t109 () (@var "I" $$unsorted)) % 0.36/0.62 (define @t110 () (= @t1 (tptp.subset_complement @t3 @t109))) % 0.36/0.62 (define @t111 () (= @t109 @t4)) % 0.36/0.62 (define @t112 () (=> @t111 @t110)) % 0.36/0.62 (define @t113 () (tptp.element @t109 @t9)) % 0.36/0.62 (define @t114 () (=> @t113 @t112)) % 0.36/0.62 (define @t115 () (@list @t109)) % 0.36/0.62 (define @t116 () (forall @t115 @t114)) % 0.36/0.62 (define @t117 () (tptp.in @t4 @t15)) % 0.36/0.62 (define @t118 () (tptp.ordered_pair @t4 @t1)) % 0.36/0.62 (define @t119 () (and (= @t118 @t17) @t117 @t116)) % 0.36/0.62 (define @t120 () (@list @t4 @t1)) % 0.36/0.62 (define @t121 () (exists @t120 @t119)) % 0.36/0.62 (define @t122 () (= @t26 @t17)) % 0.36/0.62 (define @t123 () (and @t122 @t121 @t108 @t107)) % 0.36/0.62 (define @t124 () (=> @t123 @t92)) % 0.36/0.62 (define @t125 () (@list @t26 @t17 @t6)) % 0.36/0.62 (define @t126 () (forall @t125 @t124)) % 0.36/0.62 (define @t127 () (=> @t126 @t91)) % 0.36/0.62 (define @t128 () (forall @t33 @t127)) % 0.36/0.62 (define @t129 () (=> @t37 @t128)) % 0.36/0.62 (define @t130 () (forall @t39 @t129)) % 0.36/0.62 (define @t131 () (= @t4 (tptp.subset_complement @t3 @t6))) % 0.36/0.62 (define @t132 () (not @t131)) % 0.36/0.62 (define @t133 () (tptp.element @t6 @t9)) % 0.36/0.62 (define @t134 () (not @t16)) % 0.36/0.62 (define @t135 () (= @t17 @t18)) % 0.36/0.62 (define @t136 () (not @t135)) % 0.36/0.62 (define @t137 () (not (forall @t20 (or @t136 @t134 (and @t133 @t132))))) % 0.36/0.62 (define @t138 () (@var "BOUND_VARIABLE_7722" $$unsorted)) % 0.36/0.62 (define @t139 () (not (forall @t31 (not (forall @t29 (= @t27 (and (tptp.in @t17 (tptp.cartesian_product2 @t15 @t138)) @t137))))))) % 0.36/0.62 (define @t140 () (not @t35)) % 0.36/0.62 (define @t141 () (not @t36)) % 0.36/0.62 (define @t142 () (or @t141 @t140 @t139)) % 0.36/0.62 (define @t143 () (forall (@list @t2 @t14 @t138) @t142)) % 0.36/0.62 (define @t144 () (@list @t138)) % 0.36/0.62 (define @t145 () (forall @t144 @t142)) % 0.36/0.62 (define @t146 () (forall @t144 @t139)) % 0.36/0.62 (define @t147 () (@list @t22)) % 0.36/0.62 (define @t148 () (or @t141 @t140 @t146)) % 0.36/0.62 (define @t149 () (forall @t29 (= @t27 (and @t24 @t137)))) % 0.36/0.62 (define @t150 () (not (forall @t31 (not @t149)))) % 0.36/0.62 (define @t151 () (forall @t33 @t150)) % 0.36/0.62 (define @t152 () (or @t141 @t140 @t151)) % 0.36/0.62 (define @t153 () (or @t141 @t140)) % 0.36/0.62 (define @t154 () (not @t37)) % 0.36/0.62 (define @t155 () (not @t133)) % 0.36/0.62 (define @t156 () (or @t155 @t131)) % 0.36/0.62 (define @t157 () (not @t156)) % 0.36/0.62 (define @t158 () (or @t136 @t134 @t157)) % 0.36/0.62 (define @t159 () (and @t135 @t16 @t156)) % 0.36/0.62 (define @t160 () (forall @t20 (not @t159))) % 0.36/0.62 (define @t161 () (not @t160)) % 0.36/0.62 (define @t162 () (not (= @t6 @t6))) % 0.36/0.62 (define @t163 () (or @t155 @t162 @t131)) % 0.36/0.62 (define @t164 () (= @t6 @t1)) % 0.36/0.62 (define @t165 () (not @t164)) % 0.36/0.62 (define @t166 () (not @t10)) % 0.36/0.62 (define @t167 () (or @t165 @t166 @t165 @t5)) % 0.36/0.62 (define @t168 () (or @t166 @t165 @t5)) % 0.36/0.62 (define @t169 () (=> @t164 @t5)) % 0.36/0.62 (define @t170 () (= @t70 (tptp.subset_complement @t3 @t72))) % 0.36/0.62 (define @t171 () (not @t170)) % 0.36/0.62 (define @t172 () (tptp.element @t72 @t9)) % 0.36/0.62 (define @t173 () (not @t79)) % 0.36/0.62 (define @t174 () (= @t17 @t80)) % 0.36/0.62 (define @t175 () (not @t174)) % 0.36/0.62 (define @t176 () (forall @t82 (or @t175 @t173 (and @t172 @t171)))) % 0.36/0.62 (define @t177 () (not @t176)) % 0.36/0.62 (define @t178 () (@var "BOUND_VARIABLE_8206" $$unsorted)) % 0.36/0.62 (define @t179 () (tptp.in @t17 (tptp.cartesian_product2 @t15 @t178))) % 0.36/0.62 (define @t180 () (and @t179 @t177)) % 0.36/0.62 (define @t181 () (and @t177 @t179)) % 0.36/0.62 (define @t182 () (= @t27 @t181)) % 0.36/0.62 (define @t183 () (forall @t29 @t182)) % 0.36/0.62 (define @t184 () (not @t183)) % 0.36/0.62 (define @t185 () (forall @t31 @t184)) % 0.36/0.62 (define @t186 () (not @t185)) % 0.36/0.62 (define @t187 () (or @t141 @t140 @t186)) % 0.36/0.62 (define @t188 () (@list @t2 @t14 @t178)) % 0.36/0.62 (define @t189 () (forall @t188 @t187)) % 0.36/0.62 (define @t190 () (forall @t188 (or @t141 @t140 (not (forall @t31 (not (forall @t29 (= @t27 @t180)))))))) % 0.36/0.62 (define @t191 () (@var "BOUND_VARIABLE_8473" $$unsorted)) % 0.36/0.62 (define @t192 () (@var "BOUND_VARIABLE_8469" $$unsorted)) % 0.36/0.62 (define @t193 () (tptp.the_carrier @t192)) % 0.36/0.62 (define @t194 () (@var "BOUND_VARIABLE_8474" $$unsorted)) % 0.36/0.62 (define @t195 () (tptp.powerset @t193)) % 0.36/0.62 (define @t196 () (@var "BOUND_VARIABLE_8468" $$unsorted)) % 0.36/0.62 (define @t197 () (tptp.complements_of_subsets @t193 @t196)) % 0.36/0.62 (define @t198 () (@var "BOUND_VARIABLE_8471" $$unsorted)) % 0.36/0.62 (define @t199 () (@var "BOUND_VARIABLE_8472" $$unsorted)) % 0.36/0.62 (define @t200 () (@var "BOUND_VARIABLE_8470" $$unsorted)) % 0.36/0.62 (define @t201 () (@list @t196 @t192 @t200 @t198 @t199 @t191 @t194)) % 0.36/0.62 (define @t202 () (@list true)) % 0.36/0.62 (define @t203 () (@list @t178)) % 0.36/0.62 (define @t204 () (forall @t203 @t187)) % 0.36/0.62 (define @t205 () (forall @t203 @t186)) % 0.36/0.62 (define @t206 () (or @t141 @t140 @t205)) % 0.36/0.62 (define @t207 () (forall @t29 (= @t27 (and @t177 @t24)))) % 0.36/0.62 (define @t208 () (not (forall @t31 (not @t207)))) % 0.36/0.62 (define @t209 () (forall @t33 @t208)) % 0.36/0.62 (define @t210 () (or @t141 @t140 @t209)) % 0.36/0.62 (define @t211 () (not @t24)) % 0.36/0.62 (define @t212 () (= @t27 (not (or @t176 @t211)))) % 0.36/0.62 (define @t213 () (not (= @t17 @t17))) % 0.36/0.62 (define @t214 () (or @t211 @t213)) % 0.36/0.62 (define @t215 () (not @t92)) % 0.36/0.62 (define @t216 () (not @t85)) % 0.36/0.62 (define @t217 () (or @t215 @t216 @t215)) % 0.36/0.62 (define @t218 () (or @t216 @t215)) % 0.36/0.62 (define @t219 () (forall @t87 @t218)) % 0.36/0.62 (define @t220 () (or @t176 @t219)) % 0.36/0.62 (define @t221 () (or @t176 @t218)) % 0.36/0.62 (define @t222 () (or @t216 @t215 @t176)) % 0.36/0.62 (define @t223 () (not @t177)) % 0.36/0.62 (define @t224 () (or @t216 @t215 @t223)) % 0.36/0.62 (define @t225 () (and @t85 @t92 @t177)) % 0.36/0.62 (define @t226 () (forall @t87 (not @t225))) % 0.36/0.62 (define @t227 () (not @t226)) % 0.36/0.62 (define @t228 () (not @t172)) % 0.36/0.62 (define @t229 () (or @t228 @t170)) % 0.36/0.62 (define @t230 () (not @t229)) % 0.36/0.62 (define @t231 () (or @t175 @t173 @t230)) % 0.36/0.62 (define @t232 () (and @t174 @t79 @t229)) % 0.36/0.62 (define @t233 () (forall @t82 (not @t232))) % 0.36/0.62 (define @t234 () (not @t233)) % 0.36/0.62 (define @t235 () (not (= @t72 @t72))) % 0.36/0.62 (define @t236 () (or @t228 @t235 @t170)) % 0.36/0.62 (define @t237 () (= @t72 @t69)) % 0.36/0.62 (define @t238 () (not @t237)) % 0.36/0.62 (define @t239 () (not @t75)) % 0.36/0.62 (define @t240 () (or @t238 @t239 @t238 @t71)) % 0.36/0.62 (define @t241 () (or @t239 @t238 @t71)) % 0.36/0.62 (define @t242 () (=> @t237 @t71)) % 0.36/0.62 (define @t243 () (@var "BOUND_VARIABLE_8115" $$unsorted)) % 0.36/0.62 (define @t244 () (@var "BOUND_VARIABLE_8113" $$unsorted)) % 0.36/0.62 (define @t245 () (@var "BOUND_VARIABLE_8100" $$unsorted)) % 0.36/0.62 (define @t246 () (@var "BOUND_VARIABLE_8098" $$unsorted)) % 0.36/0.62 (define @t247 () (@list @t17 @t6 @t246 @t245 @t244 @t243)) % 0.36/0.62 (define @t248 () (and (tptp.element @t244 @t9) (not (= @t243 (tptp.subset_complement @t3 @t244))))) % 0.36/0.62 (define @t249 () (not (tptp.in @t244 @t15))) % 0.36/0.62 (define @t250 () (not (= @t6 (tptp.ordered_pair @t244 @t243)))) % 0.36/0.62 (define @t251 () (and (tptp.element @t246 @t9) (not (= @t245 (tptp.subset_complement @t3 @t246))))) % 0.36/0.62 (define @t252 () (not (tptp.in @t246 @t15))) % 0.36/0.62 (define @t253 () (not (= @t17 (tptp.ordered_pair @t246 @t245)))) % 0.36/0.62 (define @t254 () (or @t215 @t92 @t253 @t252 @t251 @t250 @t249 @t248)) % 0.36/0.62 (define @t255 () (or @t213 @t215 @t92 @t253 @t252 @t251 @t250 @t249 @t248)) % 0.36/0.62 (define @t256 () (not @t108)) % 0.36/0.62 (define @t257 () (not @t122)) % 0.36/0.62 (define @t258 () (or @t257 @t257 @t256 @t92 @t253 @t252 @t251 @t250 @t249 @t248)) % 0.36/0.62 (define @t259 () (or @t257 @t256 @t92 @t253 @t252 @t251 @t250 @t249 @t248)) % 0.36/0.62 (define @t260 () (forall @t31 @t259)) % 0.36/0.62 (define @t261 () (forall @t247 @t260)) % 0.36/0.62 (define @t262 () (forall (@list @t17 @t6 @t246 @t245 @t244 @t243 @t26) @t259)) % 0.36/0.62 (define @t263 () (@list @t26 @t17 @t6 @t246 @t245 @t244 @t243)) % 0.36/0.62 (define @t264 () (or @t250 @t249 @t248)) % 0.36/0.62 (define @t265 () (or @t253 @t252 @t251)) % 0.36/0.62 (define @t266 () (or @t257 @t265 @t256 @t264 @t92)) % 0.36/0.62 (define @t267 () (forall @t263 @t266)) % 0.36/0.62 (define @t268 () (forall (@list @t246 @t245 @t244 @t243) @t266)) % 0.36/0.62 (define @t269 () (forall (@list @t244 @t243) @t264)) % 0.36/0.62 (define @t270 () (forall (@list @t246 @t245) @t265)) % 0.36/0.62 (define @t271 () (or @t257 @t270 @t256 @t269 @t92)) % 0.36/0.62 (define @t272 () (= @t94 (tptp.subset_complement @t3 @t96))) % 0.36/0.62 (define @t273 () (not @t272)) % 0.36/0.62 (define @t274 () (tptp.element @t96 @t9)) % 0.36/0.62 (define @t275 () (not @t103)) % 0.36/0.62 (define @t276 () (= @t6 @t104)) % 0.36/0.62 (define @t277 () (not @t276)) % 0.36/0.62 (define @t278 () (forall @t106 (or @t277 @t275 (and @t274 @t273)))) % 0.36/0.62 (define @t279 () (= @t1 (tptp.subset_complement @t3 @t4))) % 0.36/0.62 (define @t280 () (not @t279)) % 0.36/0.62 (define @t281 () (tptp.element @t4 @t9)) % 0.36/0.62 (define @t282 () (not @t117)) % 0.36/0.62 (define @t283 () (= @t17 @t118)) % 0.36/0.62 (define @t284 () (not @t283)) % 0.36/0.62 (define @t285 () (forall @t120 (or @t284 @t282 (and @t281 @t280)))) % 0.36/0.62 (define @t286 () (or @t257 @t285 @t256 @t278 @t92)) % 0.36/0.62 (define @t287 () (not @t278)) % 0.36/0.62 (define @t288 () (not @t287)) % 0.36/0.62 (define @t289 () (not @t285)) % 0.36/0.62 (define @t290 () (not @t289)) % 0.36/0.62 (define @t291 () (or @t257 @t290 @t256 @t288)) % 0.36/0.62 (define @t292 () (and @t122 @t289 @t108 @t287)) % 0.36/0.62 (define @t293 () (not @t274)) % 0.36/0.62 (define @t294 () (or @t293 @t272)) % 0.36/0.62 (define @t295 () (not @t294)) % 0.36/0.62 (define @t296 () (or @t277 @t275 @t295)) % 0.36/0.62 (define @t297 () (and @t276 @t103 @t294)) % 0.36/0.62 (define @t298 () (forall @t106 (not @t297))) % 0.36/0.62 (define @t299 () (not @t298)) % 0.36/0.62 (define @t300 () (not (= @t96 @t96))) % 0.36/0.62 (define @t301 () (or @t293 @t300 @t272)) % 0.36/0.62 (define @t302 () (= @t96 @t93)) % 0.36/0.62 (define @t303 () (not @t302)) % 0.36/0.62 (define @t304 () (not @t99)) % 0.36/0.62 (define @t305 () (or @t303 @t304 @t303 @t95)) % 0.36/0.62 (define @t306 () (or @t304 @t303 @t95)) % 0.36/0.62 (define @t307 () (=> @t302 @t95)) % 0.36/0.62 (define @t308 () (not @t281)) % 0.36/0.62 (define @t309 () (or @t308 @t279)) % 0.36/0.62 (define @t310 () (not @t309)) % 0.36/0.62 (define @t311 () (or @t284 @t282 @t310)) % 0.36/0.62 (define @t312 () (and @t283 @t117 @t309)) % 0.36/0.62 (define @t313 () (forall @t120 (not @t312))) % 0.36/0.62 (define @t314 () (not @t313)) % 0.36/0.62 (define @t315 () (not (= @t4 @t4))) % 0.36/0.62 (define @t316 () (or @t308 @t315 @t279)) % 0.36/0.62 (define @t317 () (= @t4 @t109)) % 0.36/0.62 (define @t318 () (not @t317)) % 0.36/0.62 (define @t319 () (not @t113)) % 0.36/0.62 (define @t320 () (or @t318 @t319 @t318 @t110)) % 0.36/0.62 (define @t321 () (or @t319 @t318 @t110)) % 0.36/0.62 (define @t322 () (=> @t317 @t110)) % 0.36/0.62 (assume @p1 @t41) % 0.36/0.62 (assume @p2 (forall @t44 (=> @t43 @t42))) % 0.36/0.62 (assume @p3 (forall @t44 (=> @t42 @t45))) % 0.36/0.62 (assume @p4 (forall @t44 (=> @t45 @t46))) % 0.36/0.62 (assume @p5 (forall @t44 (=> @t46 @t47))) % 0.36/0.62 (assume @p6 (exists @t44 (and @t49 @t47 @t46 @t45 @t42 @t43))) % 0.36/0.62 (assume @p7 (forall @t44 (=> @t47 (forall @t52 (=> @t51 @t50))))) % 0.36/0.62 (assume @p8 (forall @t44 (=> @t46 (forall @t52 (=> @t51 (and @t50 @t53)))))) % 0.36/0.62 (assume @p9 (forall @t44 (=> @t45 (forall @t52 (=> @t51 (and @t50 @t53 @t54)))))) % 0.36/0.62 (assume @p10 (forall @t44 (=> @t42 (forall @t52 (=> @t51 (and @t50 @t53 @t55 @t54)))))) % 0.36/0.62 (assume @p11 (forall @t44 (=> @t43 (forall @t52 (=> @t51 (and @t50 (tptp.natural @t14) @t53 @t55 @t54)))))) % 0.36/0.62 (assume @p12 (forall @t44 (=> @t47 (forall @t52 (=> @t58 @t56))))) % 0.36/0.62 (assume @p13 (forall @t44 (=> @t46 (forall @t52 (=> @t58 (and @t56 @t59)))))) % 0.36/0.62 (assume @p14 (forall @t44 (=> @t45 (forall @t52 (=> @t58 (and @t56 @t59 @t60)))))) % 0.36/0.62 (assume @p15 (forall @t44 (=> @t42 (forall @t52 (=> @t58 (and @t56 @t59 @t60 @t61)))))) % 0.36/0.62 (assume @p16 (forall @t44 (=> @t43 (forall @t52 (=> @t58 (and @t56 @t59 @t60 @t61 (tptp.v5_membered @t14))))))) % 0.36/0.62 (assume @p17 (forall @t44 (=> @t48 (and @t47 @t46 @t45 @t42 @t43)))) % 0.36/0.62 (assume @p18 (forall @t44 (=> @t49 (exists @t52 (and @t58 @t63))))) % 0.36/0.62 (assume @p19 (forall @t39 (=> (and @t49 @t63) (not (tptp.empty @t64))))) % 0.36/0.62 (assume @p20 (forall @t44 (exists @t52 (and @t58 @t62)))) % 0.36/0.62 (assume @p21 (forall @t39 (=> @t58 (= (tptp.subset_complement @t2 @t65) @t14)))) % 0.36/0.62 (assume @p22 (forall @t39 (=> @t68 (= (tptp.complements_of_subsets @t2 @t66) @t14)))) % 0.36/0.62 (assume @p23 (forall @t39 (=> (tptp.in @t2 @t14) (not (tptp.in @t14 @t2))))) % 0.36/0.62 (assume @p24 true) % 0.36/0.62 (assume @p25 (forall @t39 (=> @t58 (tptp.element @t65 @t57)))) % 0.36/0.62 (assume @p26 (forall @t39 (=> @t68 (tptp.element @t66 @t67)))) % 0.36/0.62 (assume @p27 (forall (@list @t2 @t14 @t22) (=> (tptp.element @t22 (tptp.powerset @t64)) (tptp.relation @t22)))) % 0.36/0.62 (assume @p28 (forall @t44 (not (tptp.empty @t57)))) % 0.36/0.62 (assume @p29 @t130) % 0.36/0.62 (step @p30 :rule quant-merge-prenex :args ((= (forall @t39 @t145) @t143))) % 0.36/0.62 (step @p31 :rule alpha_equiv :args (@t146 (@list @t138) @t147)) % 0.36/0.62 (step @p32 :rule refl :args (@t140)) % 0.36/0.62 (step @p33 :rule refl :args (@t141)) % 0.36/0.62 (step @p34 :rule nary_cong :premises (@p33 @p32 @p31) :args (@t148)) % 0.36/0.62 (step @p35 :rule quant-miniscope-or :args ((= @t145 @t148))) % 0.36/0.62 (step @p36 :rule trans :premises (@p35 @p34)) % 0.36/0.62 (step @p37 :rule symm :premises (@p36)) % 0.36/0.62 (step @p38 :rule cong :premises (@p37) :args ((forall @t39 @t152))) % 0.36/0.62 (step @p39 :rule trans :premises (@p38 @p30)) % 0.36/0.62 (step @p40 :rule aci_norm :args ((= (or @t153 @t151) @t152))) % 0.36/0.62 (step @p41 :rule refl :args (@t151)) % 0.36/0.62 (step @p42 :rule bool-and-de-morgan :args (@t36 @t35 true)) % 0.36/0.62 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t154 @t151))) % 0.36/0.62 (step @p44 :rule trans :premises (@p43 @p40)) % 0.36/0.62 (step @p45 :rule bool-impl-elim :args (@t37 @t151)) % 0.36/0.62 (step @p46 :rule trans :premises (@p45 @p44)) % 0.36/0.62 (step @p47 :rule cong :premises (@p46) :args ((forall @t39 (=> @t37 @t151)))) % 0.36/0.62 (step @p48 :rule trans :premises (@p47 @p39)) % 0.36/0.62 (step @p49 :rule exists-elim :args ((= (exists @t31 @t149) @t150))) % 0.36/0.62 (step @p50 :rule refl :args (@t132)) % 0.36/0.62 (step @p51 :rule bool-double-not-elim :args (@t133)) % 0.36/0.62 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((and (not @t155) @t132))) % 0.36/0.62 (step @p53 :rule bool-or-de-morgan :args (@t155 @t131 false)) % 0.36/0.62 (step @p54 :rule trans :premises (@p53 @p52)) % 0.36/0.62 (step @p55 :rule refl :args (@t134)) % 0.36/0.62 (step @p56 :rule refl :args (@t136)) % 0.36/0.62 (step @p57 :rule nary_cong :premises (@p56 @p55 @p54) :args (@t158)) % 0.36/0.62 (step @p58 :rule aci_norm :args ((= (or @t136 (or @t134 @t157)) @t158))) % 0.36/0.62 (step @p59 :rule bool-and-de-morgan :args (@t16 @t156 true)) % 0.36/0.62 (step @p60 :rule nary_cong :premises (@p56 @p59) :args ((or @t136 (not (and @t16 @t156))))) % 0.36/0.62 (step @p61 :rule bool-and-de-morgan :args (@t135 @t16 (and @t156))) % 0.36/0.62 (step @p62 :rule trans :premises (@p61 @p60)) % 0.36/0.62 (step @p63 :rule trans :premises (@p62 @p58)) % 0.36/0.62 (step @p64 :rule trans :premises (@p63 @p57)) % 0.36/0.62 (step @p65 :rule cong :premises (@p64) :args (@t160)) % 0.36/0.62 (step @p66 :rule cong :premises (@p65) :args (@t161)) % 0.36/0.62 (step @p67 :rule exists-elim :args ((= (exists @t20 @t159) @t161))) % 0.36/0.62 (step @p68 :rule trans :premises (@p67 @p66)) % 0.36/0.62 (step @p69 :rule aci_norm :args ((= (or @t155 false @t131) @t156))) % 0.36/0.62 (step @p70 :rule refl :args (@t131)) % 0.36/0.62 (step @p71 :rule evaluate :args ((not true))) % 0.36/0.62 (step @p72 :rule eq-refl :args (@t6)) % 0.36/0.62 (step @p73 :rule cong :premises (@p72) :args (@t162)) % 0.36/0.62 (step @p74 :rule trans :premises (@p73 @p71)) % 0.36/0.62 (step @p75 :rule refl :args (@t155)) % 0.36/0.62 (step @p76 :rule nary_cong :premises (@p75 @p74 @p70) :args (@t163)) % 0.36/0.62 (step @p77 :rule trans :premises (@p76 @p69)) % 0.36/0.62 (step @p78 :rule quant-var-elim-eq :args ((= (forall @t12 (or (not @t7) @t166 @t165 @t5)) @t163))) % 0.36/0.62 (step @p79 :rule refl :args (@t5)) % 0.36/0.62 (step @p80 :rule refl :args (@t165)) % 0.36/0.62 (step @p81 :rule refl :args (@t166)) % 0.36/0.62 (step @p82 :rule eq-symm :args (@t6 @t1)) % 0.36/0.62 (step @p83 :rule cong :premises (@p82) :args (@t165)) % 0.36/0.62 (step @p84 :rule nary_cong :premises (@p83 @p81 @p80 @p79) :args (@t167)) % 0.36/0.62 (step @p85 :rule aci_norm :args ((= @t168 @t167))) % 0.36/0.62 (step @p86 :rule trans :premises (@p85 @p84)) % 0.36/0.62 (step @p87 :rule cong :premises (@p86) :args ((forall @t12 @t168))) % 0.36/0.62 (step @p88 :rule trans :premises (@p87 @p78)) % 0.36/0.62 (step @p89 :rule trans :premises (@p88 @p77)) % 0.36/0.62 (step @p90 :rule aci_norm :args ((= (or @t166 (or @t165 @t5)) @t168))) % 0.36/0.62 (step @p91 :rule bool-impl-elim :args (@t164 @t5)) % 0.36/0.62 (step @p92 :rule nary_cong :premises (@p81 @p91) :args ((or @t166 @t169))) % 0.36/0.62 (step @p93 :rule trans :premises (@p92 @p90)) % 0.36/0.62 (step @p94 :rule bool-impl-elim :args (@t10 @t169)) % 0.36/0.62 (step @p95 :rule trans :premises (@p94 @p93)) % 0.36/0.62 (step @p96 :rule cong :premises (@p95) :args ((forall @t12 (=> @t10 @t169)))) % 0.36/0.62 (step @p97 :rule trans :premises (@p96 @p89)) % 0.36/0.62 (step @p98 :rule refl :args (@t5)) % 0.36/0.62 (step @p99 :rule eq-symm :args (@t1 @t6)) % 0.36/0.62 (step @p100 :rule cong :premises (@p99 @p98) :args (@t8)) % 0.36/0.62 (step @p101 :rule refl :args (@t10)) % 0.36/0.62 (step @p102 :rule cong :premises (@p101 @p100) :args (@t11)) % 0.36/0.62 (step @p103 :rule cong :premises (@p102) :args (@t13)) % 0.36/0.62 (step @p104 :rule trans :premises (@p103 @p97)) % 0.36/0.62 (step @p105 :rule refl :args (@t16)) % 0.36/0.62 (step @p106 :rule eq-symm :args (@t18 @t17)) % 0.36/0.62 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104) :args (@t19)) % 0.36/0.62 (step @p108 :rule cong :premises (@p107) :args (@t21)) % 0.36/0.62 (step @p109 :rule trans :premises (@p108 @p68)) % 0.36/0.62 (step @p110 :rule refl :args (@t24)) % 0.36/0.62 (step @p111 :rule nary_cong :premises (@p110 @p109) :args (@t25)) % 0.36/0.62 (step @p112 :rule refl :args (@t27)) % 0.36/0.62 (step @p113 :rule cong :premises (@p112 @p111) :args (@t28)) % 0.36/0.62 (step @p114 :rule cong :premises (@p113) :args (@t30)) % 0.36/0.62 (step @p115 :rule cong :premises (@p114) :args (@t32)) % 0.36/0.62 (step @p116 :rule trans :premises (@p115 @p49)) % 0.36/0.62 (step @p117 :rule cong :premises (@p116) :args (@t34)) % 0.36/0.62 (step @p118 :rule refl :args (@t37)) % 0.36/0.62 (step @p119 :rule cong :premises (@p118 @p117) :args (@t38)) % 0.36/0.62 (step @p120 :rule cong :premises (@p119) :args (@t40)) % 0.36/0.62 (step @p121 :rule trans :premises (@p120 @p48)) % 0.36/0.62 (step @p122 :rule cong :premises (@p121) :args (@t41)) % 0.36/0.62 (step @p123 :rule eq_resolve :premises (@p1 @p122)) % 0.36/0.62 (step @p124 :rule aci_norm :args ((= @t181 @t180))) % 0.36/0.62 (step @p125 :rule refl :args (@t27)) % 0.36/0.62 (step @p126 :rule cong :premises (@p125 @p124) :args (@t182)) % 0.36/0.62 (step @p127 :rule cong :premises (@p126) :args (@t183)) % 0.36/0.62 (step @p128 :rule cong :premises (@p127) :args (@t184)) % 0.36/0.62 (step @p129 :rule cong :premises (@p128) :args (@t185)) % 0.36/0.62 (step @p130 :rule cong :premises (@p129) :args (@t186)) % 0.36/0.62 (step @p131 :rule nary_cong :premises (@p33 @p32 @p130) :args (@t187)) % 0.36/0.62 (step @p132 :rule cong :premises (@p131) :args (@t189)) % 0.36/0.62 (step @p133 :rule symm :premises (@p132)) % 0.36/0.62 (step @p134 :rule true_intro :premises (@p133)) % 0.36/0.62 (step @p135 :rule eq-symm :args (@t189 @t190)) % 0.36/0.62 (step @p136 :rule trans :premises (@p135 @p134)) % 0.36/0.62 (step @p137 :rule cong :premises (@p133 @p132) :args ((= @t190 @t189))) % 0.36/0.62 (step @p138 :rule trans :premises (@p137 @p136)) % 0.36/0.62 (step @p139 :rule true_elim :premises (@p138)) % 0.36/0.62 (step @p140 :rule alpha_equiv :args ((forall (@list @t192 @t196 @t199) (or (not (tptp.one_sorted_str @t192)) (not (tptp.element @t196 (tptp.powerset @t195))) (not (forall (@list @t200) (not (forall (@list @t198) (= (tptp.in @t198 @t200) (and (tptp.in @t198 (tptp.cartesian_product2 @t197 @t199)) (not (forall (@list @t191 @t194) (or (not (= @t198 (tptp.ordered_pair @t191 @t194))) (not (tptp.in @t191 @t197)) (and (tptp.element @t191 @t195) (not (= @t194 (tptp.subset_complement @t193 @t191))))))))))))))) @t201 (@list @t14 @t2 @t26 @t17 @t178 @t72 @t70))) % 0.36/0.62 (step @p141 :rule alpha_equiv :args (@t143 (@list @t14 @t2 @t26 @t17 @t138 @t6 @t4) @t201)) % 0.36/0.62 (step @p142 :rule trans :premises (@p141 @p140 @p139)) % 0.36/0.62 (step @p143 :rule equiv_elim2 :premises (@p142)) % 0.36/0.62 (step @p144 :rule chain_m_resolution :premises (@p143 @p123) :args ((not @t189) @t202 (@list @t143))) % 0.36/0.62 (step @p145 :rule quant-merge-prenex :args ((= (forall @t39 @t204) @t189))) % 0.36/0.62 (step @p146 :rule alpha_equiv :args (@t205 (@list @t178) @t147)) % 0.36/0.62 (step @p147 :rule nary_cong :premises (@p33 @p32 @p146) :args (@t206)) % 0.36/0.62 (step @p148 :rule quant-miniscope-or :args ((= @t204 @t206))) % 0.36/0.62 (step @p149 :rule trans :premises (@p148 @p147)) % 0.36/0.62 (step @p150 :rule symm :premises (@p149)) % 0.36/0.62 (step @p151 :rule cong :premises (@p150) :args ((forall @t39 @t210))) % 0.36/0.62 (step @p152 :rule trans :premises (@p151 @p145)) % 0.36/0.62 (step @p153 :rule aci_norm :args ((= (or @t153 @t209) @t210))) % 0.36/0.62 (step @p154 :rule refl :args (@t209)) % 0.36/0.62 (step @p155 :rule nary_cong :premises (@p42 @p154) :args ((or @t154 @t209))) % 0.36/0.62 (step @p156 :rule trans :premises (@p155 @p153)) % 0.36/0.62 (step @p157 :rule bool-impl-elim :args (@t37 @t209)) % 0.36/0.62 (step @p158 :rule trans :premises (@p157 @p156)) % 0.36/0.62 (step @p159 :rule cong :premises (@p158) :args ((forall @t39 (=> @t37 @t209)))) % 0.36/0.62 (step @p160 :rule trans :premises (@p159 @p152)) % 0.36/0.62 (step @p161 :rule bool-impl-true2 :args (@t208)) % 0.36/0.62 (step @p162 :rule exists-elim :args ((= (exists @t31 @t207) @t208))) % 0.36/0.62 (step @p163 :rule bool-double-not-elim :args (@t24)) % 0.36/0.62 (step @p164 :rule refl :args (@t177)) % 0.36/0.62 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((and @t177 (not @t211)))) % 0.36/0.62 (step @p166 :rule bool-or-de-morgan :args (@t176 @t211 false)) % 0.36/0.62 (step @p167 :rule trans :premises (@p166 @p165)) % 0.36/0.62 (step @p168 :rule cong :premises (@p125 @p167) :args (@t212)) % 0.36/0.62 (step @p169 :rule cong :premises (@p168) :args ((forall @t29 @t212))) % 0.36/0.62 (step @p170 :rule aci_norm :args ((= (or @t211 false) @t211))) % 0.36/0.62 (step @p171 :rule eq-refl :args (@t17)) % 0.36/0.62 (step @p172 :rule cong :premises (@p171) :args (@t213)) % 0.36/0.62 (step @p173 :rule trans :premises (@p172 @p71)) % 0.36/0.62 (step @p174 :rule refl :args (@t211)) % 0.36/0.62 (step @p175 :rule nary_cong :premises (@p174 @p173) :args (@t214)) % 0.36/0.62 (step @p176 :rule trans :premises (@p175 @p170)) % 0.36/0.62 (step @p177 :rule quant-var-elim-eq :args ((= (forall @t87 (or (not @t84) @t216 @t215)) @t214))) % 0.36/0.62 (step @p178 :rule refl :args (@t215)) % 0.36/0.62 (step @p179 :rule refl :args (@t216)) % 0.36/0.62 (step @p180 :rule eq-symm :args (@t17 @t6)) % 0.36/0.62 (step @p181 :rule cong :premises (@p180) :args (@t215)) % 0.36/0.62 (step @p182 :rule nary_cong :premises (@p181 @p179 @p178) :args (@t217)) % 0.36/0.62 (step @p183 :rule aci_norm :args ((= @t218 @t217))) % 0.36/0.62 (step @p184 :rule trans :premises (@p183 @p182)) % 0.36/0.62 (step @p185 :rule cong :premises (@p184) :args (@t219)) % 0.36/0.62 (step @p186 :rule trans :premises (@p185 @p177)) % 0.36/0.62 (step @p187 :rule trans :premises (@p186 @p176)) % 0.36/0.62 (step @p188 :rule refl :args (@t176)) % 0.36/0.62 (step @p189 :rule nary_cong :premises (@p188 @p187) :args (@t220)) % 0.36/0.62 (step @p190 :rule quant-miniscope-or :args ((= (forall @t87 @t221) @t220))) % 0.36/0.62 (step @p191 :rule aci_norm :args ((= @t222 @t221))) % 0.36/0.62 (step @p192 :rule cong :premises (@p191) :args ((forall @t87 @t222))) % 0.36/0.62 (step @p193 :rule trans :premises (@p192 @p190)) % 0.36/0.62 (step @p194 :rule trans :premises (@p193 @p189)) % 0.36/0.62 (step @p195 :rule bool-double-not-elim :args (@t176)) % 0.36/0.62 (step @p196 :rule nary_cong :premises (@p179 @p178 @p195) :args (@t224)) % 0.36/0.62 (step @p197 :rule aci_norm :args ((= (or @t216 (or @t215 @t223)) @t224))) % 0.36/0.62 (step @p198 :rule trans :premises (@p197 @p196)) % 0.36/0.62 (step @p199 :rule bool-and-de-morgan :args (@t92 @t177 true)) % 0.36/0.62 (step @p200 :rule nary_cong :premises (@p179 @p199) :args ((or @t216 (not (and @t92 @t177))))) % 0.36/0.62 (step @p201 :rule bool-and-de-morgan :args (@t85 @t92 (and @t177))) % 0.36/0.62 (step @p202 :rule trans :premises (@p201 @p200)) % 0.36/0.62 (step @p203 :rule trans :premises (@p202 @p198)) % 0.36/0.62 (step @p204 :rule cong :premises (@p203) :args (@t226)) % 0.36/0.62 (step @p205 :rule trans :premises (@p204 @p194)) % 0.36/0.62 (step @p206 :rule cong :premises (@p205) :args (@t227)) % 0.36/0.62 (step @p207 :rule exists-elim :args ((= (exists @t87 @t225) @t227))) % 0.36/0.62 (step @p208 :rule trans :premises (@p207 @p206)) % 0.36/0.62 (step @p209 :rule refl :args (@t171)) % 0.36/0.62 (step @p210 :rule bool-double-not-elim :args (@t172)) % 0.36/0.62 (step @p211 :rule nary_cong :premises (@p210 @p209) :args ((and (not @t228) @t171))) % 0.36/0.62 (step @p212 :rule bool-or-de-morgan :args (@t228 @t170 false)) % 0.36/0.62 (step @p213 :rule trans :premises (@p212 @p211)) % 0.36/0.62 (step @p214 :rule refl :args (@t173)) % 0.36/0.62 (step @p215 :rule refl :args (@t175)) % 0.36/0.62 (step @p216 :rule nary_cong :premises (@p215 @p214 @p213) :args (@t231)) % 0.36/0.62 (step @p217 :rule aci_norm :args ((= (or @t175 (or @t173 @t230)) @t231))) % 0.36/0.62 (step @p218 :rule bool-and-de-morgan :args (@t79 @t229 true)) % 0.36/0.62 (step @p219 :rule nary_cong :premises (@p215 @p218) :args ((or @t175 (not (and @t79 @t229))))) % 0.36/0.62 (step @p220 :rule bool-and-de-morgan :args (@t174 @t79 (and @t229))) % 0.36/0.62 (step @p221 :rule trans :premises (@p220 @p219)) % 0.36/0.62 (step @p222 :rule trans :premises (@p221 @p217)) % 0.36/0.62 (step @p223 :rule trans :premises (@p222 @p216)) % 0.36/0.62 (step @p224 :rule cong :premises (@p223) :args (@t233)) % 0.36/0.62 (step @p225 :rule cong :premises (@p224) :args (@t234)) % 0.36/0.62 (step @p226 :rule exists-elim :args ((= (exists @t82 @t232) @t234))) % 0.36/0.62 (step @p227 :rule trans :premises (@p226 @p225)) % 0.36/0.62 (step @p228 :rule aci_norm :args ((= (or @t228 false @t170) @t229))) % 0.36/0.62 (step @p229 :rule refl :args (@t170)) % 0.36/0.62 (step @p230 :rule eq-refl :args (@t72)) % 0.36/0.62 (step @p231 :rule cong :premises (@p230) :args (@t235)) % 0.36/0.62 (step @p232 :rule trans :premises (@p231 @p71)) % 0.36/0.62 (step @p233 :rule refl :args (@t228)) % 0.36/0.62 (step @p234 :rule nary_cong :premises (@p233 @p232 @p229) :args (@t236)) % 0.36/0.62 (step @p235 :rule trans :premises (@p234 @p228)) % 0.36/0.62 (step @p236 :rule quant-var-elim-eq :args ((= (forall @t77 (or (not @t73) @t239 @t238 @t71)) @t236))) % 0.36/0.62 (step @p237 :rule refl :args (@t71)) % 0.36/0.62 (step @p238 :rule refl :args (@t238)) % 0.36/0.62 (step @p239 :rule refl :args (@t239)) % 0.36/0.62 (step @p240 :rule eq-symm :args (@t72 @t69)) % 0.36/0.62 (step @p241 :rule cong :premises (@p240) :args (@t238)) % 0.36/0.62 (step @p242 :rule nary_cong :premises (@p241 @p239 @p238 @p237) :args (@t240)) % 0.36/0.62 (step @p243 :rule aci_norm :args ((= @t241 @t240))) % 0.36/0.62 (step @p244 :rule trans :premises (@p243 @p242)) % 0.36/0.62 (step @p245 :rule cong :premises (@p244) :args ((forall @t77 @t241))) % 0.36/0.62 (step @p246 :rule trans :premises (@p245 @p236)) % 0.36/0.62 (step @p247 :rule trans :premises (@p246 @p235)) % 0.36/0.62 (step @p248 :rule aci_norm :args ((= (or @t239 (or @t238 @t71)) @t241))) % 0.36/0.62 (step @p249 :rule bool-impl-elim :args (@t237 @t71)) % 0.36/0.62 (step @p250 :rule nary_cong :premises (@p239 @p249) :args ((or @t239 @t242))) % 0.36/0.62 (step @p251 :rule trans :premises (@p250 @p248)) % 0.36/0.62 (step @p252 :rule bool-impl-elim :args (@t75 @t242)) % 0.36/0.62 (step @p253 :rule trans :premises (@p252 @p251)) % 0.36/0.62 (step @p254 :rule cong :premises (@p253) :args ((forall @t77 (=> @t75 @t242)))) % 0.36/0.62 (step @p255 :rule trans :premises (@p254 @p247)) % 0.36/0.62 (step @p256 :rule refl :args (@t71)) % 0.36/0.62 (step @p257 :rule eq-symm :args (@t69 @t72)) % 0.36/0.62 (step @p258 :rule cong :premises (@p257 @p256) :args (@t74)) % 0.36/0.62 (step @p259 :rule refl :args (@t75)) % 0.36/0.62 (step @p260 :rule cong :premises (@p259 @p258) :args (@t76)) % 0.36/0.62 (step @p261 :rule cong :premises (@p260) :args (@t78)) % 0.36/0.62 (step @p262 :rule trans :premises (@p261 @p255)) % 0.36/0.62 (step @p263 :rule refl :args (@t79)) % 0.36/0.62 (step @p264 :rule eq-symm :args (@t80 @t17)) % 0.36/0.62 (step @p265 :rule nary_cong :premises (@p264 @p263 @p262) :args (@t81)) % 0.36/0.62 (step @p266 :rule cong :premises (@p265) :args (@t83)) % 0.36/0.62 (step @p267 :rule trans :premises (@p266 @p227)) % 0.36/0.62 (step @p268 :rule eq-symm :args (@t6 @t17)) % 0.36/0.62 (step @p269 :rule refl :args (@t85)) % 0.36/0.62 (step @p270 :rule nary_cong :premises (@p269 @p268 @p267) :args (@t86)) % 0.36/0.62 (step @p271 :rule cong :premises (@p270) :args (@t88)) % 0.36/0.62 (step @p272 :rule trans :premises (@p271 @p208)) % 0.36/0.62 (step @p273 :rule cong :premises (@p112 @p272) :args (@t89)) % 0.36/0.62 (step @p274 :rule cong :premises (@p273) :args (@t90)) % 0.36/0.62 (step @p275 :rule trans :premises (@p274 @p169)) % 0.36/0.62 (step @p276 :rule cong :premises (@p275) :args (@t91)) % 0.36/0.62 (step @p277 :rule trans :premises (@p276 @p162)) % 0.36/0.62 (step @p278 :rule quant-unused-vars :args ((= (forall @t247 true) true))) % 0.36/0.62 (step @p279 :rule bool-or-taut2 :args (false @t92 false (or @t253 @t252 @t251 @t250 @t249 @t248))) % 0.36/0.62 (step @p280 :rule cong :premises (@p279) :args ((forall @t247 @t254))) % 0.36/0.62 (step @p281 :rule trans :premises (@p280 @p278)) % 0.36/0.62 (step @p282 :rule aci_norm :args ((= (or false @t215 @t92 @t253 @t252 @t251 @t250 @t249 @t248) @t254))) % 0.36/0.62 (step @p283 :rule refl :args (@t248)) % 0.36/0.62 (step @p284 :rule refl :args (@t249)) % 0.36/0.62 (step @p285 :rule refl :args (@t250)) % 0.36/0.62 (step @p286 :rule refl :args (@t251)) % 0.36/0.62 (step @p287 :rule refl :args (@t252)) % 0.36/0.62 (step @p288 :rule refl :args (@t253)) % 0.36/0.62 (step @p289 :rule refl :args (@t92)) % 0.36/0.62 (step @p290 :rule refl :args (@t215)) % 0.36/0.62 (step @p291 :rule nary_cong :premises (@p173 @p290 @p289 @p288 @p287 @p286 @p285 @p284 @p283) :args (@t255)) % 0.36/0.62 (step @p292 :rule trans :premises (@p291 @p282)) % 0.36/0.62 (step @p293 :rule cong :premises (@p292) :args ((forall @t247 @t255))) % 0.36/0.62 (step @p294 :rule trans :premises (@p293 @p281)) % 0.36/0.62 (step @p295 :rule quant-var-elim-eq :args ((= (forall @t31 @t258) @t255))) % 0.36/0.62 (step @p296 :rule aci_norm :args ((= @t259 @t258))) % 0.36/0.62 (step @p297 :rule cong :premises (@p296) :args (@t260)) % 0.36/0.62 (step @p298 :rule trans :premises (@p297 @p295)) % 0.36/0.62 (step @p299 :rule cong :premises (@p298) :args (@t261)) % 0.36/0.62 (step @p300 :rule quant-merge-prenex :args ((= @t261 @t262))) % 0.36/0.62 (step @p301 :rule symm :premises (@p300)) % 0.36/0.62 (step @p302 :rule quant_var_reordering :args ((= (forall @t263 @t259) @t262))) % 0.36/0.62 (step @p303 :rule trans :premises (@p302 @p301 @p299)) % 0.36/0.62 (step @p304 :rule trans :premises (@p303 @p294)) % 0.36/0.62 (step @p305 :rule aci_norm :args ((= @t266 @t259))) % 0.36/0.62 (step @p306 :rule cong :premises (@p305) :args (@t267)) % 0.36/0.62 (step @p307 :rule trans :premises (@p306 @p304)) % 0.36/0.62 (step @p308 :rule quant-merge-prenex :args ((= (forall @t125 @t268) @t267))) % 0.36/0.62 (step @p309 :rule refl :args (@t92)) % 0.36/0.62 (step @p310 :rule alpha_equiv :args (@t269 (@list @t244 @t243) (@list @t96 @t94))) % 0.36/0.62 (step @p311 :rule refl :args (@t256)) % 0.36/0.62 (step @p312 :rule alpha_equiv :args (@t270 (@list @t246 @t245) (@list @t4 @t1))) % 0.36/0.62 (step @p313 :rule refl :args (@t257)) % 0.36/0.62 (step @p314 :rule nary_cong :premises (@p313 @p312 @p311 @p310 @p309) :args (@t271)) % 0.36/0.62 (step @p315 :rule quant-miniscope-or :args ((= @t268 @t271))) % 0.36/0.62 (step @p316 :rule trans :premises (@p315 @p314)) % 0.36/0.62 (step @p317 :rule symm :premises (@p316)) % 0.36/0.62 (step @p318 :rule cong :premises (@p317) :args ((forall @t125 @t286))) % 0.36/0.62 (step @p319 :rule trans :premises (@p318 @p308)) % 0.36/0.62 (step @p320 :rule trans :premises (@p319 @p307)) % 0.36/0.62 (step @p321 :rule aci_norm :args ((= (or (or @t257 @t285 @t256 @t278) @t92) @t286))) % 0.36/0.62 (step @p322 :rule bool-double-not-elim :args (@t278)) % 0.36/0.62 (step @p323 :rule bool-double-not-elim :args (@t285)) % 0.36/0.62 (step @p324 :rule nary_cong :premises (@p313 @p323 @p311 @p322) :args (@t291)) % 0.36/0.62 (step @p325 :rule aci_norm :args ((= (or @t257 (or @t290 (or @t256 @t288))) @t291))) % 0.36/0.62 (step @p326 :rule trans :premises (@p325 @p324)) % 0.36/0.62 (step @p327 :rule bool-and-de-morgan :args (@t108 @t287 true)) % 0.36/0.62 (step @p328 :rule refl :args (@t290)) % 0.36/0.62 (step @p329 :rule nary_cong :premises (@p328 @p327) :args ((or @t290 (not (and @t108 @t287))))) % 0.36/0.62 (step @p330 :rule bool-and-de-morgan :args (@t289 @t108 (and @t287))) % 0.36/0.62 (step @p331 :rule trans :premises (@p330 @p329)) % 0.36/0.62 (step @p332 :rule nary_cong :premises (@p313 @p331) :args ((or @t257 (not (and @t289 @t108 @t287))))) % 0.36/0.62 (step @p333 :rule bool-and-de-morgan :args (@t122 @t289 (and @t108 @t287))) % 0.36/0.62 (step @p334 :rule trans :premises (@p333 @p332)) % 0.36/0.62 (step @p335 :rule trans :premises (@p334 @p326)) % 0.36/0.62 (step @p336 :rule nary_cong :premises (@p335 @p309) :args ((or (not @t292) @t92))) % 0.36/0.62 (step @p337 :rule trans :premises (@p336 @p321)) % 0.36/0.62 (step @p338 :rule bool-impl-elim :args (@t292 @t92)) % 0.36/0.62 (step @p339 :rule trans :premises (@p338 @p337)) % 0.36/0.62 (step @p340 :rule cong :premises (@p339) :args ((forall @t125 (=> @t292 @t92)))) % 0.36/0.62 (step @p341 :rule trans :premises (@p340 @p320)) % 0.36/0.62 (step @p342 :rule refl :args (@t273)) % 0.36/0.62 (step @p343 :rule bool-double-not-elim :args (@t274)) % 0.36/0.62 (step @p344 :rule nary_cong :premises (@p343 @p342) :args ((and (not @t293) @t273))) % 0.36/0.62 (step @p345 :rule bool-or-de-morgan :args (@t293 @t272 false)) % 0.36/0.62 (step @p346 :rule trans :premises (@p345 @p344)) % 0.36/0.62 (step @p347 :rule refl :args (@t275)) % 0.36/0.62 (step @p348 :rule refl :args (@t277)) % 0.36/0.62 (step @p349 :rule nary_cong :premises (@p348 @p347 @p346) :args (@t296)) % 0.36/0.62 (step @p350 :rule aci_norm :args ((= (or @t277 (or @t275 @t295)) @t296))) % 0.36/0.62 (step @p351 :rule bool-and-de-morgan :args (@t103 @t294 true)) % 0.36/0.62 (step @p352 :rule nary_cong :premises (@p348 @p351) :args ((or @t277 (not (and @t103 @t294))))) % 0.36/0.62 (step @p353 :rule bool-and-de-morgan :args (@t276 @t103 (and @t294))) % 0.36/0.62 (step @p354 :rule trans :premises (@p353 @p352)) % 0.36/0.62 (step @p355 :rule trans :premises (@p354 @p350)) % 0.36/0.62 (step @p356 :rule trans :premises (@p355 @p349)) % 0.36/0.62 (step @p357 :rule cong :premises (@p356) :args (@t298)) % 0.36/0.62 (step @p358 :rule cong :premises (@p357) :args (@t299)) % 0.36/0.62 (step @p359 :rule exists-elim :args ((= (exists @t106 @t297) @t299))) % 0.36/0.62 (step @p360 :rule trans :premises (@p359 @p358)) % 0.36/0.62 (step @p361 :rule aci_norm :args ((= (or @t293 false @t272) @t294))) % 0.36/0.62 (step @p362 :rule refl :args (@t272)) % 0.36/0.62 (step @p363 :rule eq-refl :args (@t96)) % 0.36/0.62 (step @p364 :rule cong :premises (@p363) :args (@t300)) % 0.36/0.62 (step @p365 :rule trans :premises (@p364 @p71)) % 0.36/0.62 (step @p366 :rule refl :args (@t293)) % 0.36/0.62 (step @p367 :rule nary_cong :premises (@p366 @p365 @p362) :args (@t301)) % 0.36/0.62 (step @p368 :rule trans :premises (@p367 @p361)) % 0.36/0.62 (step @p369 :rule quant-var-elim-eq :args ((= (forall @t101 (or (not @t97) @t304 @t303 @t95)) @t301))) % 0.36/0.62 (step @p370 :rule refl :args (@t95)) % 0.36/0.62 (step @p371 :rule refl :args (@t303)) % 0.36/0.62 (step @p372 :rule refl :args (@t304)) % 0.36/0.62 (step @p373 :rule eq-symm :args (@t96 @t93)) % 0.36/0.62 (step @p374 :rule cong :premises (@p373) :args (@t303)) % 0.36/0.62 (step @p375 :rule nary_cong :premises (@p374 @p372 @p371 @p370) :args (@t305)) % 0.36/0.62 (step @p376 :rule aci_norm :args ((= @t306 @t305))) % 0.36/0.62 (step @p377 :rule trans :premises (@p376 @p375)) % 0.36/0.62 (step @p378 :rule cong :premises (@p377) :args ((forall @t101 @t306))) % 0.36/0.62 (step @p379 :rule trans :premises (@p378 @p369)) % 0.36/0.62 (step @p380 :rule trans :premises (@p379 @p368)) % 0.36/0.62 (step @p381 :rule aci_norm :args ((= (or @t304 (or @t303 @t95)) @t306))) % 0.36/0.62 (step @p382 :rule bool-impl-elim :args (@t302 @t95)) % 0.36/0.62 (step @p383 :rule nary_cong :premises (@p372 @p382) :args ((or @t304 @t307))) % 0.36/0.62 (step @p384 :rule trans :premises (@p383 @p381)) % 0.36/0.62 (step @p385 :rule bool-impl-elim :args (@t99 @t307)) % 0.36/0.62 (step @p386 :rule trans :premises (@p385 @p384)) % 0.36/0.62 (step @p387 :rule cong :premises (@p386) :args ((forall @t101 (=> @t99 @t307)))) % 0.36/0.62 (step @p388 :rule trans :premises (@p387 @p380)) % 0.36/0.62 (step @p389 :rule refl :args (@t95)) % 0.36/0.62 (step @p390 :rule eq-symm :args (@t93 @t96)) % 0.36/0.62 (step @p391 :rule cong :premises (@p390 @p389) :args (@t98)) % 0.36/0.62 (step @p392 :rule refl :args (@t99)) % 0.36/0.62 (step @p393 :rule cong :premises (@p392 @p391) :args (@t100)) % 0.36/0.62 (step @p394 :rule cong :premises (@p393) :args (@t102)) % 0.36/0.62 (step @p395 :rule trans :premises (@p394 @p388)) % 0.36/0.62 (step @p396 :rule refl :args (@t103)) % 0.36/0.62 (step @p397 :rule eq-symm :args (@t104 @t6)) % 0.36/0.62 (step @p398 :rule nary_cong :premises (@p397 @p396 @p395) :args (@t105)) % 0.36/0.62 (step @p399 :rule cong :premises (@p398) :args (@t107)) % 0.36/0.62 (step @p400 :rule trans :premises (@p399 @p360)) % 0.36/0.62 (step @p401 :rule refl :args (@t108)) % 0.36/0.62 (step @p402 :rule refl :args (@t280)) % 0.36/0.62 (step @p403 :rule bool-double-not-elim :args (@t281)) % 0.36/0.62 (step @p404 :rule nary_cong :premises (@p403 @p402) :args ((and (not @t308) @t280))) % 0.36/0.62 (step @p405 :rule bool-or-de-morgan :args (@t308 @t279 false)) % 0.36/0.62 (step @p406 :rule trans :premises (@p405 @p404)) % 0.36/0.62 (step @p407 :rule refl :args (@t282)) % 0.36/0.62 (step @p408 :rule refl :args (@t284)) % 0.36/0.62 (step @p409 :rule nary_cong :premises (@p408 @p407 @p406) :args (@t311)) % 0.36/0.62 (step @p410 :rule aci_norm :args ((= (or @t284 (or @t282 @t310)) @t311))) % 0.36/0.62 (step @p411 :rule bool-and-de-morgan :args (@t117 @t309 true)) % 0.36/0.62 (step @p412 :rule nary_cong :premises (@p408 @p411) :args ((or @t284 (not (and @t117 @t309))))) % 0.36/0.62 (step @p413 :rule bool-and-de-morgan :args (@t283 @t117 (and @t309))) % 0.36/0.62 (step @p414 :rule trans :premises (@p413 @p412)) % 0.36/0.62 (step @p415 :rule trans :premises (@p414 @p410)) % 0.36/0.62 (step @p416 :rule trans :premises (@p415 @p409)) % 0.36/0.62 (step @p417 :rule cong :premises (@p416) :args (@t313)) % 0.36/0.62 (step @p418 :rule cong :premises (@p417) :args (@t314)) % 0.36/0.62 (step @p419 :rule exists-elim :args ((= (exists @t120 @t312) @t314))) % 0.36/0.62 (step @p420 :rule trans :premises (@p419 @p418)) % 0.36/0.62 (step @p421 :rule aci_norm :args ((= (or @t308 false @t279) @t309))) % 0.36/0.62 (step @p422 :rule refl :args (@t279)) % 0.36/0.62 (step @p423 :rule eq-refl :args (@t4)) % 0.36/0.62 (step @p424 :rule cong :premises (@p423) :args (@t315)) % 0.36/0.62 (step @p425 :rule trans :premises (@p424 @p71)) % 0.36/0.62 (step @p426 :rule refl :args (@t308)) % 0.36/0.62 (step @p427 :rule nary_cong :premises (@p426 @p425 @p422) :args (@t316)) % 0.36/0.62 (step @p428 :rule trans :premises (@p427 @p421)) % 0.36/0.62 (step @p429 :rule quant-var-elim-eq :args ((= (forall @t115 (or (not @t111) @t319 @t318 @t110)) @t316))) % 0.36/0.62 (step @p430 :rule refl :args (@t110)) % 0.36/0.62 (step @p431 :rule refl :args (@t318)) % 0.36/0.62 (step @p432 :rule refl :args (@t319)) % 0.36/0.62 (step @p433 :rule eq-symm :args (@t4 @t109)) % 0.36/0.62 (step @p434 :rule cong :premises (@p433) :args (@t318)) % 0.36/0.62 (step @p435 :rule nary_cong :premises (@p434 @p432 @p431 @p430) :args (@t320)) % 0.36/0.62 (step @p436 :rule aci_norm :args ((= @t321 @t320))) % 0.36/0.62 (step @p437 :rule trans :premises (@p436 @p435)) % 0.36/0.62 (step @p438 :rule cong :premises (@p437) :args ((forall @t115 @t321))) % 0.36/0.62 (step @p439 :rule trans :premises (@p438 @p429)) % 0.36/0.62 (step @p440 :rule trans :premises (@p439 @p428)) % 0.36/0.62 (step @p441 :rule aci_norm :args ((= (or @t319 (or @t318 @t110)) @t321))) % 0.36/0.62 (step @p442 :rule bool-impl-elim :args (@t317 @t110)) % 0.36/0.62 (step @p443 :rule nary_cong :premises (@p432 @p442) :args ((or @t319 @t322))) % 0.36/0.62 (step @p444 :rule trans :premises (@p443 @p441)) % 0.36/0.62 (step @p445 :rule bool-impl-elim :args (@t113 @t322)) % 0.36/0.62 (step @p446 :rule trans :premises (@p445 @p444)) % 0.36/0.62 (step @p447 :rule cong :premises (@p446) :args ((forall @t115 (=> @t113 @t322)))) % 0.36/0.62 (step @p448 :rule trans :premises (@p447 @p440)) % 0.36/0.62 (step @p449 :rule refl :args (@t110)) % 0.36/0.62 (step @p450 :rule eq-symm :args (@t109 @t4)) % 0.36/0.62 (step @p451 :rule cong :premises (@p450 @p449) :args (@t112)) % 0.36/0.62 (step @p452 :rule refl :args (@t113)) % 0.36/0.62 (step @p453 :rule cong :premises (@p452 @p451) :args (@t114)) % 0.36/0.62 (step @p454 :rule cong :premises (@p453) :args (@t116)) % 0.36/0.62 (step @p455 :rule trans :premises (@p454 @p448)) % 0.36/0.62 (step @p456 :rule refl :args (@t117)) % 0.36/0.62 (step @p457 :rule eq-symm :args (@t118 @t17)) % 0.36/0.62 (step @p458 :rule nary_cong :premises (@p457 @p456 @p455) :args (@t119)) % 0.36/0.62 (step @p459 :rule cong :premises (@p458) :args (@t121)) % 0.36/0.62 (step @p460 :rule trans :premises (@p459 @p420)) % 0.36/0.62 (step @p461 :rule refl :args (@t122)) % 0.36/0.62 (step @p462 :rule nary_cong :premises (@p461 @p460 @p401 @p400) :args (@t123)) % 0.36/0.62 (step @p463 :rule cong :premises (@p462 @p289) :args (@t124)) % 0.36/0.62 (step @p464 :rule cong :premises (@p463) :args (@t126)) % 0.36/0.62 (step @p465 :rule trans :premises (@p464 @p341)) % 0.36/0.62 (step @p466 :rule cong :premises (@p465 @p277) :args (@t127)) % 0.36/0.62 (step @p467 :rule trans :premises (@p466 @p161)) % 0.36/0.62 (step @p468 :rule cong :premises (@p467) :args (@t128)) % 0.36/0.62 (step @p469 :rule cong :premises (@p118 @p468) :args (@t129)) % 0.36/0.62 (step @p470 :rule cong :premises (@p469) :args (@t130)) % 0.36/0.62 (step @p471 :rule trans :premises (@p470 @p160)) % 0.36/0.62 (step @p472 :rule eq_resolve :premises (@p29 @p471)) % 0.36/0.62 (step @p473 false :rule chain_m_resolution :premises (@p472 @p144) :args (false @t202 (@list @t189))) % 0.36/0.62 ) % 0.36/0.62 % SZS output end Proof % 0.36/0.62 % cvc5 exiting %------------------------------------------------------------------------------