%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU322+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 : n008.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 08:51:22 AM UTC 2026 % Result : Theorem 0.53s 0.74s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU322+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 % 0.19/0.35 % Computer : n008.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 16:56:48 EDT 2026 % 0.19/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.53/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.74 % SZS status Theorem % 0.53/0.74 % SZS output start Proof % 0.53/0.74 ( % 0.53/0.74 (declare-sort $$unsorted 0) % 0.53/0.74 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.top_str (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.empty_set $$unsorted) % 0.53/0.74 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.74 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.53/0.74 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.53/0.74 (define @t1 () (@var "A" $$unsorted)) % 0.53/0.74 (define @t2 () (@var "B" $$unsorted)) % 0.53/0.74 (define @t3 () (tptp.in @t1 @t2)) % 0.53/0.74 (define @t4 () (@list @t1 @t2)) % 0.53/0.74 (define @t5 () (tptp.v1_xcmplx_0 @t2)) % 0.53/0.74 (define @t6 () (tptp.element @t2 @t1)) % 0.53/0.74 (define @t7 () (@list @t2)) % 0.53/0.74 (define @t8 () (tptp.v1_membered @t1)) % 0.53/0.74 (define @t9 () (@list @t1)) % 0.53/0.74 (define @t10 () (tptp.v1_xreal_0 @t2)) % 0.53/0.74 (define @t11 () (tptp.v2_membered @t1)) % 0.53/0.74 (define @t12 () (tptp.v1_rat_1 @t2)) % 0.53/0.74 (define @t13 () (tptp.v3_membered @t1)) % 0.53/0.74 (define @t14 () (tptp.v1_int_1 @t2)) % 0.53/0.74 (define @t15 () (tptp.v4_membered @t1)) % 0.53/0.74 (define @t16 () (tptp.v5_membered @t1)) % 0.53/0.74 (define @t17 () (tptp.empty @t1)) % 0.53/0.74 (define @t18 () (tptp.v1_membered @t2)) % 0.53/0.74 (define @t19 () (tptp.powerset @t1)) % 0.53/0.74 (define @t20 () (tptp.element @t2 @t19)) % 0.53/0.74 (define @t21 () (tptp.v2_membered @t2)) % 0.53/0.74 (define @t22 () (tptp.v3_membered @t2)) % 0.53/0.74 (define @t23 () (tptp.v4_membered @t2)) % 0.53/0.74 (define @t24 () (tptp.the_carrier @t1)) % 0.53/0.74 (define @t25 () (tptp.empty @t24)) % 0.53/0.74 (define @t26 () (tptp.empty_carrier @t1)) % 0.53/0.74 (define @t27 () (= @t26 @t25)) % 0.53/0.74 (define @t28 () (tptp.one_sorted_str @t1)) % 0.53/0.74 (define @t29 () (forall @t9 (=> @t28 @t27))) % 0.53/0.74 (define @t30 () (tptp.subset_complement @t24 @t2)) % 0.53/0.74 (define @t31 () (tptp.interior @t1 @t2)) % 0.53/0.74 (define @t32 () (= @t31 (tptp.subset_complement @t24 (tptp.topstr_closure @t1 @t30)))) % 0.53/0.74 (define @t33 () (tptp.powerset @t24)) % 0.53/0.74 (define @t34 () (tptp.element @t2 @t33)) % 0.53/0.74 (define @t35 () (forall @t7 (=> @t34 @t32))) % 0.53/0.74 (define @t36 () (tptp.top_str @t1)) % 0.53/0.74 (define @t37 () (=> @t36 @t35)) % 0.53/0.74 (define @t38 () (forall @t9 @t37)) % 0.53/0.74 (define @t39 () (@var "C" $$unsorted)) % 0.53/0.74 (define @t40 () (tptp.in @t39 @t2)) % 0.53/0.74 (define @t41 () (tptp.in @t39 @t1)) % 0.53/0.74 (define @t42 () (@list @t39)) % 0.53/0.74 (define @t43 () (forall @t42 (=> @t41 @t40))) % 0.53/0.74 (define @t44 () (tptp.subset @t1 @t2)) % 0.53/0.74 (define @t45 () (= @t44 @t43)) % 0.53/0.74 (define @t46 () (forall @t4 @t45)) % 0.53/0.74 (define @t47 () (tptp.element @t31 @t33)) % 0.53/0.74 (define @t48 () (and @t36 @t34)) % 0.53/0.74 (define @t49 () (forall @t4 (=> @t48 @t47))) % 0.53/0.74 (define @t50 () (tptp.subset_complement @t1 @t2)) % 0.53/0.74 (define @t51 () (tptp.element @t50 @t19)) % 0.53/0.74 (define @t52 () (forall @t4 (=> @t20 @t51))) % 0.53/0.74 (define @t53 () (tptp.topstr_closure @t1 @t2)) % 0.53/0.74 (define @t54 () (tptp.element @t53 @t33)) % 0.53/0.74 (define @t55 () (forall @t4 (=> @t48 @t54))) % 0.53/0.74 (define @t56 () (forall @t9 (=> @t36 @t28))) % 0.53/0.74 (define @t57 () (not @t26)) % 0.53/0.74 (define @t58 () (and @t57 @t28)) % 0.53/0.74 (define @t59 () (tptp.subset_complement @t1 @t50)) % 0.53/0.74 (define @t60 () (=> @t20 (= @t59 @t2))) % 0.53/0.74 (define @t61 () (forall @t4 @t60)) % 0.53/0.74 (define @t62 () (= (tptp.in @t39 @t30) (not @t40))) % 0.53/0.74 (define @t63 () (tptp.element @t39 @t24)) % 0.53/0.74 (define @t64 () (forall @t42 (=> @t63 @t62))) % 0.53/0.74 (define @t65 () (=> @t34 @t64)) % 0.53/0.74 (define @t66 () (forall @t7 @t65)) % 0.53/0.74 (define @t67 () (=> @t58 @t66)) % 0.53/0.74 (define @t68 () (forall @t9 @t67)) % 0.53/0.74 (define @t69 () (tptp.empty @t2)) % 0.53/0.74 (define @t70 () (tptp.element @t1 @t2)) % 0.53/0.74 (define @t71 () (tptp.subset @t31 @t2)) % 0.53/0.74 (define @t72 () (forall @t7 (=> @t34 @t71))) % 0.53/0.74 (define @t73 () (=> @t36 @t72)) % 0.53/0.74 (define @t74 () (forall @t9 @t73)) % 0.53/0.74 (define @t75 () (not @t74)) % 0.53/0.74 (define @t76 () (tptp.subset @t2 @t53)) % 0.53/0.74 (define @t77 () (forall @t7 (=> @t34 @t76))) % 0.53/0.74 (define @t78 () (=> @t36 @t77)) % 0.53/0.74 (define @t79 () (forall @t9 @t78)) % 0.53/0.74 (define @t80 () (tptp.element @t1 @t39)) % 0.53/0.74 (define @t81 () (tptp.element @t2 (tptp.powerset @t39))) % 0.53/0.74 (define @t82 () (and @t3 @t81)) % 0.53/0.74 (define @t83 () (@list @t1 @t2 @t39)) % 0.53/0.74 (define @t84 () (forall @t83 (=> @t82 @t80))) % 0.53/0.74 (define @t85 () (tptp.in @t2 @t39)) % 0.53/0.74 (define @t86 () (tptp.in @t2 (tptp.subset_complement @t1 @t39))) % 0.53/0.74 (define @t87 () (not (and @t86 @t85))) % 0.53/0.74 (define @t88 () (tptp.element @t39 @t19)) % 0.53/0.74 (define @t89 () (forall @t83 (=> @t88 @t87))) % 0.53/0.74 (define @t90 () (tptp.empty @t39)) % 0.53/0.74 (define @t91 () (forall @t83 (not (and @t3 @t81 @t90)))) % 0.53/0.74 (define @t92 () (not @t90)) % 0.53/0.74 (define @t93 () (not @t81)) % 0.53/0.74 (define @t94 () (not @t3)) % 0.53/0.74 (define @t95 () (or @t94 @t93 @t92)) % 0.53/0.74 (define @t96 () (@var "BOUND_VARIABLE_8052" $$unsorted)) % 0.53/0.74 (define @t97 () (tptp.subset (tptp.interior @t1 @t96) @t96)) % 0.53/0.74 (define @t98 () (not (tptp.element @t96 @t33))) % 0.53/0.74 (define @t99 () (not @t36)) % 0.53/0.74 (define @t100 () (or @t99 @t98 @t97)) % 0.53/0.74 (define @t101 () (@list @t1 @t96)) % 0.53/0.74 (define @t102 () (forall @t101 @t100)) % 0.53/0.74 (define @t103 () (@quantifiers_skolemize @t102 1)) % 0.53/0.74 (define @t104 () (@quantifiers_skolemize @t102 0)) % 0.53/0.74 (define @t105 () (tptp.interior @t104 @t103)) % 0.53/0.74 (define @t106 () (or @t98 @t97)) % 0.53/0.74 (define @t107 () (or @t99 @t106)) % 0.53/0.74 (define @t108 () (forall @t101 @t107)) % 0.53/0.74 (define @t109 () (@list @t96)) % 0.53/0.74 (define @t110 () (forall @t109 @t107)) % 0.53/0.74 (define @t111 () (forall @t109 @t106)) % 0.53/0.74 (define @t112 () (@list @t2)) % 0.53/0.74 (define @t113 () (or @t99 @t111)) % 0.53/0.74 (define @t114 () (not @t34)) % 0.53/0.74 (define @t115 () (forall @t7 (or @t114 @t71))) % 0.53/0.74 (define @t116 () (tptp.subset @t105 @t103)) % 0.53/0.74 (define @t117 () (tptp.the_carrier @t104)) % 0.53/0.74 (define @t118 () (tptp.powerset @t117)) % 0.53/0.74 (define @t119 () (tptp.element @t103 @t118)) % 0.53/0.74 (define @t120 () (not @t119)) % 0.53/0.74 (define @t121 () (tptp.top_str @t104)) % 0.53/0.74 (define @t122 () (not @t121)) % 0.53/0.74 (define @t123 () (or @t122 @t120 @t116)) % 0.53/0.74 (define @t124 () (@list true)) % 0.53/0.74 (define @t125 () (@list @t123)) % 0.53/0.74 (define @t126 () (forall @t42 (or (not (tptp.in @t39 @t105)) (tptp.in @t39 @t103)))) % 0.53/0.74 (define @t127 () (= @t116 @t126)) % 0.53/0.74 (define @t128 () (not @t126)) % 0.53/0.74 (define @t129 () (@list true false)) % 0.53/0.74 (define @t130 () (@quantifiers_skolemize @t126 0)) % 0.53/0.74 (define @t131 () (tptp.in @t130 @t105)) % 0.53/0.74 (define @t132 () (tptp.in @t130 @t103)) % 0.53/0.74 (define @t133 () (not @t131)) % 0.53/0.74 (define @t134 () (or @t133 @t132)) % 0.53/0.74 (define @t135 () (@list @t134)) % 0.53/0.74 (define @t136 () (or @t99 @t114)) % 0.53/0.74 (define @t137 () (not @t48)) % 0.53/0.74 (define @t138 () (@list @t104 @t103)) % 0.53/0.74 (define @t139 () (tptp.element @t105 @t118)) % 0.53/0.74 (define @t140 () (or @t122 @t120 @t139)) % 0.53/0.74 (define @t141 () (@list false false false)) % 0.53/0.74 (define @t142 () (@list @t104)) % 0.53/0.74 (define @t143 () (tptp.one_sorted_str @t104)) % 0.53/0.74 (define @t144 () (or @t122 @t143)) % 0.53/0.74 (define @t145 () (@list false false)) % 0.53/0.74 (define @t146 () (tptp.empty @t117)) % 0.53/0.74 (define @t147 () (tptp.empty_carrier @t104)) % 0.53/0.74 (define @t148 () (= @t147 @t146)) % 0.53/0.74 (define @t149 () (not @t143)) % 0.53/0.74 (define @t150 () (or @t149 @t148)) % 0.53/0.74 (define @t151 () (@var "BOUND_VARIABLE_7989" $$unsorted)) % 0.53/0.74 (define @t152 () (@var "BOUND_VARIABLE_7991" $$unsorted)) % 0.53/0.74 (define @t153 () (= (tptp.in @t152 (tptp.subset_complement @t24 @t151)) (not (tptp.in @t152 @t151)))) % 0.53/0.74 (define @t154 () (not (tptp.element @t152 @t24))) % 0.53/0.74 (define @t155 () (not (tptp.element @t151 @t33))) % 0.53/0.74 (define @t156 () (not @t28)) % 0.53/0.74 (define @t157 () (or @t155 @t154 @t153)) % 0.53/0.74 (define @t158 () (or @t26 @t156 @t157)) % 0.53/0.74 (define @t159 () (forall (@list @t1 @t151 @t152) @t158)) % 0.53/0.74 (define @t160 () (@list @t151 @t152)) % 0.53/0.74 (define @t161 () (forall @t160 @t158)) % 0.53/0.74 (define @t162 () (forall @t160 @t157)) % 0.53/0.74 (define @t163 () (@var "BOUND_VARIABLE_7971" $$unsorted)) % 0.53/0.74 (define @t164 () (or @t26 @t156 @t162)) % 0.53/0.74 (define @t165 () (= (tptp.in @t163 @t30) (not (tptp.in @t163 @t2)))) % 0.53/0.74 (define @t166 () (not (tptp.element @t163 @t24))) % 0.53/0.74 (define @t167 () (or @t114 @t166 @t165)) % 0.53/0.74 (define @t168 () (@list @t2 @t163)) % 0.53/0.74 (define @t169 () (forall @t168 @t167)) % 0.53/0.74 (define @t170 () (or @t26 @t156 @t169)) % 0.53/0.74 (define @t171 () (or @t166 @t165)) % 0.53/0.74 (define @t172 () (or @t114 @t171)) % 0.53/0.74 (define @t173 () (forall @t168 @t172)) % 0.53/0.74 (define @t174 () (@list @t163)) % 0.53/0.74 (define @t175 () (forall @t174 @t172)) % 0.53/0.74 (define @t176 () (forall @t174 @t171)) % 0.53/0.74 (define @t177 () (or @t114 @t176)) % 0.53/0.74 (define @t178 () (forall @t42 (or (not @t63) @t62))) % 0.53/0.74 (define @t179 () (tptp.subset_complement @t117 @t103)) % 0.53/0.74 (define @t180 () (tptp.topstr_closure @t104 @t179)) % 0.53/0.74 (define @t181 () (@var "BOUND_VARIABLE_8072" $$unsorted)) % 0.53/0.74 (define @t182 () (tptp.subset @t181 (tptp.topstr_closure @t1 @t181))) % 0.53/0.74 (define @t183 () (not (tptp.element @t181 @t33))) % 0.53/0.74 (define @t184 () (or @t183 @t182)) % 0.53/0.74 (define @t185 () (or @t99 @t184)) % 0.53/0.74 (define @t186 () (forall (@list @t1 @t181) @t185)) % 0.53/0.74 (define @t187 () (@list @t181)) % 0.53/0.74 (define @t188 () (forall @t187 @t185)) % 0.53/0.74 (define @t189 () (forall @t187 @t184)) % 0.53/0.74 (define @t190 () (or @t99 @t189)) % 0.53/0.74 (define @t191 () (forall @t7 (or @t114 @t76))) % 0.53/0.74 (define @t192 () (@list @t104 @t179)) % 0.53/0.74 (define @t193 () (@list @t117 @t103)) % 0.53/0.74 (define @t194 () (tptp.element @t179 @t118)) % 0.53/0.74 (define @t195 () (or @t120 @t194)) % 0.53/0.74 (define @t196 () (tptp.subset @t179 @t180)) % 0.53/0.74 (define @t197 () (not @t194)) % 0.53/0.74 (define @t198 () (or @t122 @t197 @t196)) % 0.53/0.74 (define @t199 () (forall @t42 (or (not (tptp.in @t39 @t179)) (tptp.in @t39 @t180)))) % 0.53/0.74 (define @t200 () (= @t196 @t199)) % 0.53/0.74 (define @t201 () (not @t85)) % 0.53/0.74 (define @t202 () (not @t86)) % 0.53/0.74 (define @t203 () (not @t88)) % 0.53/0.74 (define @t204 () (@var "BOUND_VARIABLE_7907" $$unsorted)) % 0.53/0.74 (define @t205 () (= (tptp.interior @t1 @t204) (tptp.subset_complement @t24 (tptp.topstr_closure @t1 (tptp.subset_complement @t24 @t204))))) % 0.53/0.74 (define @t206 () (not (tptp.element @t204 @t33))) % 0.53/0.74 (define @t207 () (or @t206 @t205)) % 0.53/0.74 (define @t208 () (or @t99 @t207)) % 0.53/0.74 (define @t209 () (forall (@list @t1 @t204) @t208)) % 0.53/0.74 (define @t210 () (@list @t204)) % 0.53/0.74 (define @t211 () (forall @t210 @t208)) % 0.53/0.74 (define @t212 () (forall @t210 @t207)) % 0.53/0.74 (define @t213 () (or @t99 @t212)) % 0.53/0.74 (define @t214 () (forall @t7 (or @t114 @t32))) % 0.53/0.74 (define @t215 () (tptp.subset_complement @t117 @t180)) % 0.53/0.74 (define @t216 () (= @t105 @t215)) % 0.53/0.74 (define @t217 () (or @t122 @t120 @t216)) % 0.53/0.74 (define @t218 () (tptp.in @t130 @t215)) % 0.53/0.74 (define @t219 () (tptp.element @t180 @t118)) % 0.53/0.74 (define @t220 () (or @t122 @t197 @t219)) % 0.53/0.74 (define @t221 () (tptp.in @t130 @t180)) % 0.53/0.74 (define @t222 () (not @t221)) % 0.53/0.74 (define @t223 () (not @t218)) % 0.53/0.74 (define @t224 () (not @t219)) % 0.53/0.74 (define @t225 () (or @t224 @t223 @t222)) % 0.53/0.74 (define @t226 () (tptp.in @t130 @t179)) % 0.53/0.74 (define @t227 () (not @t226)) % 0.53/0.74 (define @t228 () (or @t227 @t221)) % 0.53/0.74 (define @t229 () (= @t2 @t59)) % 0.53/0.74 (define @t230 () (tptp.subset_complement @t117 @t179)) % 0.53/0.74 (define @t231 () (= @t103 @t230)) % 0.53/0.74 (define @t232 () (or @t120 @t231)) % 0.53/0.74 (define @t233 () (tptp.in @t130 @t230)) % 0.53/0.74 (define @t234 () (= @t233 @t227)) % 0.53/0.74 (define @t235 () (not @t234)) % 0.53/0.74 (define @t236 () (@list @t130 @t105 @t117)) % 0.53/0.74 (define @t237 () (tptp.element @t130 @t117)) % 0.53/0.74 (define @t238 () (not @t139)) % 0.53/0.74 (define @t239 () (or @t133 @t238 @t237)) % 0.53/0.74 (define @t240 () (not @t237)) % 0.53/0.74 (define @t241 () (or @t147 @t149 @t197 @t240 @t234)) % 0.53/0.74 (define @t242 () (not @t146)) % 0.53/0.74 (define @t243 () (or @t133 @t238 @t242)) % 0.53/0.74 (define @t244 () (not @t243)) % 0.53/0.74 (define @t245 () (forall @t83 @t95)) % 0.53/0.74 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.53/0.74 (assume @p2 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.53/0.74 (assume @p3 (forall @t9 (=> @t11 (forall @t7 (=> @t6 (and @t5 @t10)))))) % 0.53/0.74 (assume @p4 (forall @t9 (=> @t13 (forall @t7 (=> @t6 (and @t5 @t10 @t12)))))) % 0.53/0.74 (assume @p5 (forall @t9 (=> @t15 (forall @t7 (=> @t6 (and @t5 @t10 @t14 @t12)))))) % 0.53/0.74 (assume @p6 (forall @t9 (=> @t16 (forall @t7 (=> @t6 (and @t5 (tptp.natural @t2) @t10 @t14 @t12)))))) % 0.53/0.74 (assume @p7 (forall @t9 (=> @t17 (and @t8 @t11 @t13 @t15 @t16)))) % 0.53/0.74 (assume @p8 (forall @t9 (=> @t8 (forall @t7 (=> @t20 @t18))))) % 0.53/0.74 (assume @p9 (forall @t9 (=> @t11 (forall @t7 (=> @t20 (and @t18 @t21)))))) % 0.53/0.74 (assume @p10 (forall @t9 (=> @t13 (forall @t7 (=> @t20 (and @t18 @t21 @t22)))))) % 0.53/0.74 (assume @p11 (forall @t9 (=> @t15 (forall @t7 (=> @t20 (and @t18 @t21 @t22 @t23)))))) % 0.53/0.74 (assume @p12 (forall @t9 (=> @t16 @t15))) % 0.53/0.74 (assume @p13 (forall @t9 (=> @t16 (forall @t7 (=> @t20 (and @t18 @t21 @t22 @t23 (tptp.v5_membered @t2))))))) % 0.53/0.74 (assume @p14 (forall @t9 (=> @t15 @t13))) % 0.53/0.74 (assume @p15 (forall @t9 (=> @t13 @t11))) % 0.53/0.74 (assume @p16 (forall @t9 (=> @t11 @t8))) % 0.53/0.74 (assume @p17 @t29) % 0.53/0.74 (assume @p18 @t38) % 0.53/0.74 (assume @p19 @t46) % 0.53/0.74 (assume @p20 @t49) % 0.53/0.74 (assume @p21 true) % 0.53/0.74 (assume @p22 @t52) % 0.53/0.74 (assume @p23 @t55) % 0.53/0.74 (assume @p24 @t56) % 0.53/0.74 (assume @p25 (exists @t9 @t36)) % 0.53/0.74 (assume @p26 (exists @t9 @t28)) % 0.53/0.74 (assume @p27 (forall @t9 (exists @t7 @t6))) % 0.53/0.74 (assume @p28 (forall @t9 (=> @t58 (not @t25)))) % 0.53/0.74 (assume @p29 (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))) % 0.53/0.74 (assume @p30 @t61) % 0.53/0.74 (assume @p31 @t68) % 0.53/0.74 (assume @p32 (exists @t9 (and (not @t17) @t8 @t11 @t13 @t15 @t16))) % 0.53/0.74 (assume @p33 (exists @t9 (and @t28 @t57))) % 0.53/0.74 (assume @p34 (forall @t9 (=> @t58 (exists @t7 (and @t34 (not @t69)))))) % 0.53/0.74 (assume @p35 (forall @t4 (tptp.subset @t1 @t1))) % 0.53/0.74 (assume @p36 (forall @t4 (=> @t3 @t70))) % 0.53/0.74 (assume @p37 (forall @t4 (=> @t70 (or @t69 @t3)))) % 0.53/0.74 (assume @p38 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) @t44))) % 0.53/0.74 (assume @p39 @t75) % 0.53/0.74 (assume @p40 @t79) % 0.53/0.74 (assume @p41 @t84) % 0.53/0.74 (assume @p42 @t89) % 0.53/0.74 (assume @p43 @t91) % 0.53/0.74 (assume @p44 (forall @t9 (=> @t17 (= @t1 tptp.empty_set)))) % 0.53/0.74 (assume @p45 (forall @t4 (not (and @t3 @t69)))) % 0.53/0.74 (assume @p46 (forall @t4 (not (and @t17 (not (= @t1 @t2)) @t69)))) % 0.53/0.74 (step @p47 :rule aci_norm :args ((= (or @t94 (or @t93 @t92)) @t95))) % 0.53/0.74 (step @p48 :rule bool-and-de-morgan :args (@t81 @t90 true)) % 0.53/0.74 (step @p49 :rule refl :args (@t94)) % 0.53/0.74 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or @t94 (not (and @t81 @t90))))) % 0.53/0.74 (step @p51 :rule bool-and-de-morgan :args (@t3 @t81 (and @t90))) % 0.53/0.74 (step @p52 :rule trans :premises (@p51 @p50)) % 0.53/0.74 (step @p53 :rule trans :premises (@p52 @p47)) % 0.53/0.74 (step @p54 :rule cong :premises (@p53) :args (@t91)) % 0.53/0.74 (step @p55 :rule eq_resolve :premises (@p43 @p54)) % 0.53/0.74 (step @p56 :rule bool-impl-elim :args (@t41 @t40)) % 0.53/0.74 (step @p57 :rule cong :premises (@p56) :args (@t43)) % 0.53/0.74 (step @p58 :rule refl :args (@t44)) % 0.53/0.74 (step @p59 :rule cong :premises (@p58 @p57) :args (@t45)) % 0.53/0.74 (step @p60 :rule cong :premises (@p59) :args (@t46)) % 0.53/0.74 (step @p61 :rule eq_resolve :premises (@p19 @p60)) % 0.53/0.74 (step @p62 :rule instantiate :premises (@p61) :args ((@list @t105 @t103))) % 0.53/0.74 (step @p63 :rule aci_norm :args ((= @t107 @t100))) % 0.53/0.74 (step @p64 :rule cong :premises (@p63) :args (@t108)) % 0.53/0.74 (step @p65 :rule quant-merge-prenex :args ((= (forall @t9 @t110) @t108))) % 0.53/0.74 (step @p66 :rule alpha_equiv :args (@t111 (@list @t96) @t112)) % 0.53/0.74 (step @p67 :rule refl :args (@t99)) % 0.53/0.74 (step @p68 :rule nary_cong :premises (@p67 @p66) :args (@t113)) % 0.53/0.74 (step @p69 :rule quant-miniscope-or :args ((= @t110 @t113))) % 0.53/0.74 (step @p70 :rule trans :premises (@p69 @p68)) % 0.53/0.74 (step @p71 :rule symm :premises (@p70)) % 0.53/0.74 (step @p72 :rule cong :premises (@p71) :args ((forall @t9 (or @t99 @t115)))) % 0.53/0.74 (step @p73 :rule trans :premises (@p72 @p65)) % 0.53/0.74 (step @p74 :rule trans :premises (@p73 @p64)) % 0.53/0.74 (step @p75 :rule bool-impl-elim :args (@t36 @t115)) % 0.53/0.74 (step @p76 :rule cong :premises (@p75) :args ((forall @t9 (=> @t36 @t115)))) % 0.53/0.74 (step @p77 :rule trans :premises (@p76 @p74)) % 0.53/0.74 (step @p78 :rule bool-impl-elim :args (@t34 @t71)) % 0.53/0.74 (step @p79 :rule cong :premises (@p78) :args (@t72)) % 0.53/0.74 (step @p80 :rule refl :args (@t36)) % 0.53/0.74 (step @p81 :rule cong :premises (@p80 @p79) :args (@t73)) % 0.53/0.74 (step @p82 :rule cong :premises (@p81) :args (@t74)) % 0.53/0.74 (step @p83 :rule trans :premises (@p82 @p77)) % 0.53/0.74 (step @p84 :rule cong :premises (@p83) :args (@t75)) % 0.53/0.74 (step @p85 :rule eq_resolve :premises (@p39 @p84)) % 0.53/0.74 (step @p86 :rule skolemize :premises (@p85)) % 0.53/0.74 (step @p87 :rule cnf_or_neg :args (@t123 2)) % 0.53/0.74 (step @p88 :rule chain_m_resolution :premises (@p87 @p86) :args ((not @t116) @t124 @t125)) % 0.53/0.74 (step @p89 :rule cnf_equiv_pos2 :args (@t127)) % 0.53/0.74 (step @p90 :rule reordering :premises (@p89) :args ((or @t116 @t128 (not @t127)))) % 0.53/0.74 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p62) :args (@t128 @t129 (@list @t116 @t127))) % 0.53/0.74 (step @p92 :rule skolemize :premises (@p91)) % 0.53/0.74 (step @p93 :rule bool-double-not-elim :args (@t131)) % 0.53/0.74 (step @p94 :rule refl :args (@t134)) % 0.53/0.74 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t134 (not @t133)))) % 0.53/0.74 (step @p96 :rule cnf_or_neg :args (@t134 0)) % 0.53/0.74 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 0.53/0.74 (step @p98 :rule reordering :premises (@p97) :args ((or @t131 @t134))) % 0.53/0.74 (step @p99 :rule chain_m_resolution :premises (@p98 @p92) :args (@t131 @t124 @t135)) % 0.53/0.74 (step @p100 :rule aci_norm :args ((= (or @t136 @t47) (or @t99 @t114 @t47)))) % 0.53/0.74 (step @p101 :rule refl :args (@t47)) % 0.53/0.74 (step @p102 :rule bool-and-de-morgan :args (@t36 @t34 true)) % 0.53/0.74 (step @p103 :rule nary_cong :premises (@p102 @p101) :args ((or @t137 @t47))) % 0.53/0.74 (step @p104 :rule trans :premises (@p103 @p100)) % 0.53/0.74 (step @p105 :rule bool-impl-elim :args (@t48 @t47)) % 0.53/0.74 (step @p106 :rule trans :premises (@p105 @p104)) % 0.53/0.74 (step @p107 :rule cong :premises (@p106) :args (@t49)) % 0.53/0.74 (step @p108 :rule eq_resolve :premises (@p20 @p107)) % 0.53/0.74 (step @p109 :rule instantiate :premises (@p108) :args (@t138)) % 0.53/0.74 (step @p110 :rule bool-double-not-elim :args (@t119)) % 0.53/0.74 (step @p111 :rule refl :args (@t123)) % 0.53/0.74 (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or @t123 (not @t120)))) % 0.53/0.74 (step @p113 :rule cnf_or_neg :args (@t123 1)) % 0.53/0.74 (step @p114 :rule eq_resolve :premises (@p113 @p112)) % 0.53/0.74 (step @p115 :rule reordering :premises (@p114) :args ((or @t119 @t123))) % 0.53/0.74 (step @p116 :rule chain_m_resolution :premises (@p115 @p86) :args (@t119 @t124 @t125)) % 0.53/0.74 (step @p117 :rule bool-double-not-elim :args (@t121)) % 0.53/0.74 (step @p118 :rule nary_cong :premises (@p111 @p117) :args ((or @t123 (not @t122)))) % 0.53/0.74 (step @p119 :rule cnf_or_neg :args (@t123 0)) % 0.53/0.74 (step @p120 :rule eq_resolve :premises (@p119 @p118)) % 0.53/0.74 (step @p121 :rule reordering :premises (@p120) :args ((or @t121 @t123))) % 0.53/0.74 (step @p122 :rule chain_m_resolution :premises (@p121 @p86) :args (@t121 @t124 @t125)) % 0.53/0.74 (step @p123 :rule cnf_or_pos :args (@t140)) % 0.53/0.74 (step @p124 :rule reordering :premises (@p123) :args ((or @t122 @t120 @t139 (not @t140)))) % 0.53/0.74 (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p116 @p109) :args (@t139 @t141 (@list @t121 @t119 @t140))) % 0.53/0.74 (step @p126 :rule bool-impl-elim :args (@t28 @t27)) % 0.53/0.74 (step @p127 :rule cong :premises (@p126) :args (@t29)) % 0.53/0.74 (step @p128 :rule eq_resolve :premises (@p17 @p127)) % 0.53/0.74 (step @p129 :rule instantiate :premises (@p128) :args (@t142)) % 0.53/0.74 (step @p130 :rule bool-impl-elim :args (@t36 @t28)) % 0.53/0.74 (step @p131 :rule cong :premises (@p130) :args (@t56)) % 0.53/0.74 (step @p132 :rule eq_resolve :premises (@p24 @p131)) % 0.53/0.74 (step @p133 :rule instantiate :premises (@p132) :args (@t142)) % 0.53/0.74 (step @p134 :rule cnf_or_pos :args (@t144)) % 0.53/0.74 (step @p135 :rule reordering :premises (@p134) :args ((or @t122 @t143 (not @t144)))) % 0.53/0.74 (step @p136 :rule chain_m_resolution :premises (@p135 @p122 @p133) :args (@t143 @t145 (@list @t121 @t144))) % 0.53/0.74 (step @p137 :rule cnf_or_pos :args (@t150)) % 0.53/0.74 (step @p138 :rule reordering :premises (@p137) :args ((or @t149 @t148 (not @t150)))) % 0.53/0.74 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p129) :args (@t148 @t145 (@list @t143 @t150))) % 0.53/0.74 (step @p140 :rule aci_norm :args ((= @t158 (or @t26 @t156 @t155 @t154 @t153)))) % 0.53/0.74 (step @p141 :rule cong :premises (@p140) :args (@t159)) % 0.53/0.74 (step @p142 :rule quant-merge-prenex :args ((= (forall @t9 @t161) @t159))) % 0.53/0.74 (step @p143 :rule alpha_equiv :args (@t162 (@list @t151 @t152) (@list @t2 @t163))) % 0.53/0.74 (step @p144 :rule refl :args (@t156)) % 0.53/0.74 (step @p145 :rule refl :args (@t26)) % 0.53/0.74 (step @p146 :rule nary_cong :premises (@p145 @p144 @p143) :args (@t164)) % 0.53/0.74 (step @p147 :rule quant-miniscope-or :args ((= @t161 @t164))) % 0.53/0.74 (step @p148 :rule trans :premises (@p147 @p146)) % 0.53/0.74 (step @p149 :rule symm :premises (@p148)) % 0.53/0.74 (step @p150 :rule cong :premises (@p149) :args ((forall @t9 @t170))) % 0.53/0.74 (step @p151 :rule trans :premises (@p150 @p142)) % 0.53/0.74 (step @p152 :rule trans :premises (@p151 @p141)) % 0.53/0.74 (step @p153 :rule aci_norm :args ((= (or (or @t26 @t156) @t169) @t170))) % 0.53/0.74 (step @p154 :rule refl :args (@t169)) % 0.53/0.74 (step @p155 :rule bool-double-not-elim :args (@t26)) % 0.53/0.74 (step @p156 :rule nary_cong :premises (@p155 @p144) :args ((or (not @t57) @t156))) % 0.53/0.74 (step @p157 :rule bool-and-de-morgan :args (@t57 @t28 true)) % 0.53/0.74 (step @p158 :rule trans :premises (@p157 @p156)) % 0.53/0.74 (step @p159 :rule nary_cong :premises (@p158 @p154) :args ((or (not @t58) @t169))) % 0.53/0.74 (step @p160 :rule trans :premises (@p159 @p153)) % 0.53/0.74 (step @p161 :rule bool-impl-elim :args (@t58 @t169)) % 0.53/0.74 (step @p162 :rule trans :premises (@p161 @p160)) % 0.53/0.74 (step @p163 :rule cong :premises (@p162) :args ((forall @t9 (=> @t58 @t169)))) % 0.53/0.74 (step @p164 :rule trans :premises (@p163 @p152)) % 0.53/0.74 (step @p165 :rule aci_norm :args ((= @t172 @t167))) % 0.53/0.74 (step @p166 :rule cong :premises (@p165) :args (@t173)) % 0.53/0.74 (step @p167 :rule quant-merge-prenex :args ((= (forall @t7 @t175) @t173))) % 0.53/0.74 (step @p168 :rule alpha_equiv :args (@t176 (@list @t163) (@list @t39))) % 0.53/0.74 (step @p169 :rule refl :args (@t114)) % 0.53/0.74 (step @p170 :rule nary_cong :premises (@p169 @p168) :args (@t177)) % 0.53/0.74 (step @p171 :rule quant-miniscope-or :args ((= @t175 @t177))) % 0.53/0.74 (step @p172 :rule trans :premises (@p171 @p170)) % 0.53/0.74 (step @p173 :rule symm :premises (@p172)) % 0.53/0.74 (step @p174 :rule cong :premises (@p173) :args ((forall @t7 (or @t114 @t178)))) % 0.53/0.74 (step @p175 :rule trans :premises (@p174 @p167)) % 0.53/0.74 (step @p176 :rule trans :premises (@p175 @p166)) % 0.53/0.74 (step @p177 :rule bool-impl-elim :args (@t34 @t178)) % 0.53/0.74 (step @p178 :rule cong :premises (@p177) :args ((forall @t7 (=> @t34 @t178)))) % 0.53/0.74 (step @p179 :rule trans :premises (@p178 @p176)) % 0.53/0.74 (step @p180 :rule bool-impl-elim :args (@t63 @t62)) % 0.53/0.74 (step @p181 :rule cong :premises (@p180) :args (@t64)) % 0.53/0.74 (step @p182 :rule refl :args (@t34)) % 0.53/0.74 (step @p183 :rule cong :premises (@p182 @p181) :args (@t65)) % 0.53/0.74 (step @p184 :rule cong :premises (@p183) :args (@t66)) % 0.53/0.74 (step @p185 :rule trans :premises (@p184 @p179)) % 0.53/0.74 (step @p186 :rule refl :args (@t58)) % 0.53/0.74 (step @p187 :rule cong :premises (@p186 @p185) :args (@t67)) % 0.53/0.74 (step @p188 :rule cong :premises (@p187) :args (@t68)) % 0.53/0.74 (step @p189 :rule trans :premises (@p188 @p164)) % 0.53/0.74 (step @p190 :rule eq_resolve :premises (@p31 @p189)) % 0.53/0.74 (step @p191 :rule instantiate :premises (@p190) :args ((@list @t104 @t179 @t130))) % 0.53/0.74 (step @p192 :rule instantiate :premises (@p61) :args ((@list @t179 @t180))) % 0.53/0.74 (step @p193 :rule aci_norm :args ((= @t185 (or @t99 @t183 @t182)))) % 0.53/0.74 (step @p194 :rule cong :premises (@p193) :args (@t186)) % 0.53/0.74 (step @p195 :rule quant-merge-prenex :args ((= (forall @t9 @t188) @t186))) % 0.53/0.74 (step @p196 :rule alpha_equiv :args (@t189 (@list @t181) @t112)) % 0.53/0.74 (step @p197 :rule nary_cong :premises (@p67 @p196) :args (@t190)) % 0.53/0.74 (step @p198 :rule quant-miniscope-or :args ((= @t188 @t190))) % 0.53/0.74 (step @p199 :rule trans :premises (@p198 @p197)) % 0.53/0.74 (step @p200 :rule symm :premises (@p199)) % 0.53/0.74 (step @p201 :rule cong :premises (@p200) :args ((forall @t9 (or @t99 @t191)))) % 0.53/0.74 (step @p202 :rule trans :premises (@p201 @p195)) % 0.53/0.74 (step @p203 :rule trans :premises (@p202 @p194)) % 0.53/0.74 (step @p204 :rule bool-impl-elim :args (@t36 @t191)) % 0.53/0.74 (step @p205 :rule cong :premises (@p204) :args ((forall @t9 (=> @t36 @t191)))) % 0.53/0.74 (step @p206 :rule trans :premises (@p205 @p203)) % 0.53/0.74 (step @p207 :rule bool-impl-elim :args (@t34 @t76)) % 0.53/0.74 (step @p208 :rule cong :premises (@p207) :args (@t77)) % 0.53/0.74 (step @p209 :rule cong :premises (@p80 @p208) :args (@t78)) % 0.53/0.74 (step @p210 :rule cong :premises (@p209) :args (@t79)) % 0.53/0.74 (step @p211 :rule trans :premises (@p210 @p206)) % 0.53/0.74 (step @p212 :rule eq_resolve :premises (@p40 @p211)) % 0.53/0.74 (step @p213 :rule instantiate :premises (@p212) :args (@t192)) % 0.53/0.74 (step @p214 :rule bool-impl-elim :args (@t20 @t51)) % 0.53/0.74 (step @p215 :rule cong :premises (@p214) :args (@t52)) % 0.53/0.74 (step @p216 :rule eq_resolve :premises (@p22 @p215)) % 0.53/0.74 (step @p217 :rule instantiate :premises (@p216) :args (@t193)) % 0.53/0.74 (step @p218 :rule cnf_or_pos :args (@t195)) % 0.53/0.74 (step @p219 :rule reordering :premises (@p218) :args ((or @t120 @t194 (not @t195)))) % 0.53/0.74 (step @p220 :rule chain_m_resolution :premises (@p219 @p116 @p217) :args (@t194 @t145 (@list @t119 @t195))) % 0.53/0.74 (step @p221 :rule cnf_or_pos :args (@t198)) % 0.53/0.74 (step @p222 :rule reordering :premises (@p221) :args ((or @t122 @t197 @t196 (not @t198)))) % 0.53/0.74 (step @p223 :rule chain_m_resolution :premises (@p222 @p122 @p220 @p213) :args (@t196 @t141 (@list @t121 @t194 @t198))) % 0.53/0.74 (step @p224 :rule cnf_equiv_pos1 :args (@t200)) % 0.53/0.74 (step @p225 :rule reordering :premises (@p224) :args ((or (not @t196) @t199 (not @t200)))) % 0.53/0.74 (step @p226 :rule chain_m_resolution :premises (@p225 @p223 @p192) :args (@t199 @t145 (@list @t196 @t200))) % 0.53/0.74 (step @p227 :rule instantiate :premises (@p226) :args ((@list @t130))) % 0.53/0.74 (step @p228 :rule aci_norm :args ((= (or @t203 (or @t202 @t201)) (or @t203 @t202 @t201)))) % 0.53/0.74 (step @p229 :rule bool-and-de-morgan :args (@t86 @t85 true)) % 0.53/0.74 (step @p230 :rule refl :args (@t203)) % 0.53/0.74 (step @p231 :rule nary_cong :premises (@p230 @p229) :args ((or @t203 @t87))) % 0.53/0.74 (step @p232 :rule trans :premises (@p231 @p228)) % 0.53/0.74 (step @p233 :rule bool-impl-elim :args (@t88 @t87)) % 0.53/0.74 (step @p234 :rule trans :premises (@p233 @p232)) % 0.53/0.74 (step @p235 :rule cong :premises (@p234) :args (@t89)) % 0.53/0.74 (step @p236 :rule eq_resolve :premises (@p42 @p235)) % 0.53/0.74 (step @p237 :rule instantiate :premises (@p236) :args ((@list @t117 @t130 @t180))) % 0.53/0.74 (step @p238 :rule true_intro :premises (@p99)) % 0.53/0.74 (step @p239 :rule aci_norm :args ((= @t208 (or @t99 @t206 @t205)))) % 0.53/0.74 (step @p240 :rule cong :premises (@p239) :args (@t209)) % 0.53/0.74 (step @p241 :rule quant-merge-prenex :args ((= (forall @t9 @t211) @t209))) % 0.53/0.74 (step @p242 :rule alpha_equiv :args (@t212 (@list @t204) @t112)) % 0.53/0.74 (step @p243 :rule nary_cong :premises (@p67 @p242) :args (@t213)) % 0.53/0.74 (step @p244 :rule quant-miniscope-or :args ((= @t211 @t213))) % 0.53/0.74 (step @p245 :rule trans :premises (@p244 @p243)) % 0.53/0.74 (step @p246 :rule symm :premises (@p245)) % 0.53/0.74 (step @p247 :rule cong :premises (@p246) :args ((forall @t9 (or @t99 @t214)))) % 0.53/0.74 (step @p248 :rule trans :premises (@p247 @p241)) % 0.53/0.74 (step @p249 :rule trans :premises (@p248 @p240)) % 0.53/0.74 (step @p250 :rule bool-impl-elim :args (@t36 @t214)) % 0.53/0.74 (step @p251 :rule cong :premises (@p250) :args ((forall @t9 (=> @t36 @t214)))) % 0.53/0.74 (step @p252 :rule trans :premises (@p251 @p249)) % 0.53/0.74 (step @p253 :rule bool-impl-elim :args (@t34 @t32)) % 0.53/0.74 (step @p254 :rule cong :premises (@p253) :args (@t35)) % 0.53/0.74 (step @p255 :rule cong :premises (@p80 @p254) :args (@t37)) % 0.53/0.74 (step @p256 :rule cong :premises (@p255) :args (@t38)) % 0.53/0.74 (step @p257 :rule trans :premises (@p256 @p252)) % 0.53/0.74 (step @p258 :rule eq_resolve :premises (@p18 @p257)) % 0.53/0.74 (step @p259 :rule instantiate :premises (@p258) :args (@t138)) % 0.53/0.74 (step @p260 :rule cnf_or_pos :args (@t217)) % 0.53/0.74 (step @p261 :rule reordering :premises (@p260) :args ((or @t122 @t120 @t216 (not @t217)))) % 0.53/0.74 (step @p262 :rule chain_m_resolution :premises (@p261 @p122 @p116 @p259) :args (@t216 @t141 (@list @t121 @t119 @t217))) % 0.53/0.74 (step @p263 :rule symm :premises (@p262)) % 0.53/0.74 (step @p264 :rule refl :args (@t130)) % 0.53/0.74 (step @p265 :rule cong :premises (@p264 @p263) :args (@t218)) % 0.53/0.74 (step @p266 :rule trans :premises (@p265 @p238)) % 0.53/0.74 (step @p267 :rule true_elim :premises (@p266)) % 0.53/0.74 (step @p268 :rule aci_norm :args ((= (or @t136 @t54) (or @t99 @t114 @t54)))) % 0.53/0.74 (step @p269 :rule refl :args (@t54)) % 0.53/0.74 (step @p270 :rule nary_cong :premises (@p102 @p269) :args ((or @t137 @t54))) % 0.53/0.74 (step @p271 :rule trans :premises (@p270 @p268)) % 0.53/0.74 (step @p272 :rule bool-impl-elim :args (@t48 @t54)) % 0.53/0.74 (step @p273 :rule trans :premises (@p272 @p271)) % 0.53/0.74 (step @p274 :rule cong :premises (@p273) :args (@t55)) % 0.53/0.74 (step @p275 :rule eq_resolve :premises (@p23 @p274)) % 0.53/0.74 (step @p276 :rule instantiate :premises (@p275) :args (@t192)) % 0.53/0.74 (step @p277 :rule cnf_or_pos :args (@t220)) % 0.53/0.74 (step @p278 :rule reordering :premises (@p277) :args ((or @t122 @t197 @t219 (not @t220)))) % 0.53/0.74 (step @p279 :rule chain_m_resolution :premises (@p278 @p122 @p220 @p276) :args (@t219 @t141 (@list @t121 @t194 @t220))) % 0.53/0.74 (step @p280 :rule cnf_or_pos :args (@t225)) % 0.53/0.74 (step @p281 :rule reordering :premises (@p280) :args ((or @t224 @t222 @t223 (not @t225)))) % 0.53/0.74 (step @p282 :rule chain_m_resolution :premises (@p281 @p279 @p267 @p237) :args (@t222 @t141 (@list @t219 @t218 @t225))) % 0.53/0.74 (step @p283 :rule cnf_or_pos :args (@t228)) % 0.53/0.74 (step @p284 :rule reordering :premises (@p283) :args ((or @t221 @t227 (not @t228)))) % 0.53/0.74 (step @p285 :rule chain_m_resolution :premises (@p284 @p282 @p227) :args (@t227 @t129 (@list @t221 @t228))) % 0.53/0.74 (step @p286 :rule cnf_or_neg :args (@t134 1)) % 0.53/0.74 (step @p287 :rule chain_m_resolution :premises (@p286 @p92) :args ((not @t132) @t124 @t135)) % 0.53/0.74 (step @p288 :rule false_intro :premises (@p287)) % 0.53/0.74 (step @p289 :rule bool-impl-elim :args (@t20 @t229)) % 0.53/0.74 (step @p290 :rule cong :premises (@p289) :args ((forall @t4 (=> @t20 @t229)))) % 0.53/0.74 (step @p291 :rule eq-symm :args (@t59 @t2)) % 0.53/0.74 (step @p292 :rule refl :args (@t20)) % 0.53/0.74 (step @p293 :rule cong :premises (@p292 @p291) :args (@t60)) % 0.53/0.74 (step @p294 :rule cong :premises (@p293) :args (@t61)) % 0.53/0.74 (step @p295 :rule trans :premises (@p294 @p290)) % 0.53/0.74 (step @p296 :rule eq_resolve :premises (@p30 @p295)) % 0.53/0.74 (step @p297 :rule instantiate :premises (@p296) :args (@t193)) % 0.53/0.74 (step @p298 :rule cnf_or_pos :args (@t232)) % 0.53/0.74 (step @p299 :rule reordering :premises (@p298) :args ((or @t120 @t231 (not @t232)))) % 0.53/0.74 (step @p300 :rule chain_m_resolution :premises (@p299 @p116 @p297) :args (@t231 @t145 (@list @t119 @t232))) % 0.53/0.74 (step @p301 :rule symm :premises (@p300)) % 0.53/0.74 (step @p302 :rule cong :premises (@p264 @p301) :args (@t233)) % 0.53/0.74 (step @p303 :rule trans :premises (@p302 @p288)) % 0.53/0.74 (step @p304 :rule false_elim :premises (@p303)) % 0.53/0.74 (step @p305 :rule bool-double-not-elim :args (@t226)) % 0.53/0.74 (step @p306 :rule refl :args (@t233)) % 0.53/0.74 (step @p307 :rule refl :args (@t235)) % 0.53/0.74 (step @p308 :rule nary_cong :premises (@p307 @p306 @p305) :args ((or @t235 @t233 (not @t227)))) % 0.53/0.74 (step @p309 :rule cnf_equiv_pos2 :args (@t234)) % 0.53/0.74 (step @p310 :rule eq_resolve :premises (@p309 @p308)) % 0.53/0.74 (step @p311 :rule reordering :premises (@p310) :args ((or @t233 @t226 @t235))) % 0.53/0.74 (step @p312 :rule chain_m_resolution :premises (@p311 @p304 @p285) :args (@t235 (@list true true) (@list @t233 @t226))) % 0.53/0.74 (step @p313 :rule aci_norm :args ((= (or (or @t94 @t93) @t80) (or @t94 @t93 @t80)))) % 0.53/0.74 (step @p314 :rule refl :args (@t80)) % 0.53/0.74 (step @p315 :rule bool-and-de-morgan :args (@t3 @t81 true)) % 0.53/0.74 (step @p316 :rule nary_cong :premises (@p315 @p314) :args ((or (not @t82) @t80))) % 0.53/0.74 (step @p317 :rule trans :premises (@p316 @p313)) % 0.53/0.74 (step @p318 :rule bool-impl-elim :args (@t82 @t80)) % 0.53/0.74 (step @p319 :rule trans :premises (@p318 @p317)) % 0.53/0.74 (step @p320 :rule cong :premises (@p319) :args (@t84)) % 0.53/0.74 (step @p321 :rule eq_resolve :premises (@p41 @p320)) % 0.53/0.74 (step @p322 :rule instantiate :premises (@p321) :args (@t236)) % 0.53/0.74 (step @p323 :rule cnf_or_pos :args (@t239)) % 0.53/0.74 (step @p324 :rule reordering :premises (@p323) :args ((or @t238 @t133 @t237 (not @t239)))) % 0.53/0.74 (step @p325 :rule chain_m_resolution :premises (@p324 @p125 @p99 @p322) :args (@t237 @t141 (@list @t139 @t131 @t239))) % 0.53/0.74 (step @p326 :rule cnf_or_pos :args (@t241)) % 0.53/0.74 (step @p327 :rule reordering :premises (@p326) :args ((or @t149 @t147 @t197 @t240 @t234 (not @t241)))) % 0.53/0.74 (step @p328 :rule chain_m_resolution :premises (@p327 @p136 @p220 @p325 @p312 @p191) :args (@t147 (@list false false false true false) (@list @t143 @t194 @t237 @t234 @t241))) % 0.53/0.74 (step @p329 :rule cnf_equiv_pos1 :args (@t148)) % 0.53/0.74 (step @p330 :rule reordering :premises (@p329) :args ((or @t146 (not @t147) (not @t148)))) % 0.53/0.74 (step @p331 :rule chain_m_resolution :premises (@p330 @p328 @p139) :args (@t146 @t145 (@list @t147 @t148))) % 0.53/0.74 (step @p332 :rule cnf_or_pos :args (@t243)) % 0.53/0.74 (step @p333 :rule reordering :premises (@p332) :args ((or @t242 @t238 @t133 @t244))) % 0.53/0.74 (step @p334 :rule chain_m_resolution :premises (@p333 @p331 @p125 @p99) :args (@t244 @t141 (@list @t146 @t139 @t131))) % 0.53/0.74 (assume-push @p341 @t245) % 0.53/0.74 (step @p336 :rule instantiate :premises (@p55) :args (@t236)) % 0.53/0.74 (step-pop @p342 :rule scope :premises (@p336)) % 0.53/0.74 (step @p337 :rule process_scope :premises (@p342) :args (@t243)) % 0.53/0.74 (step @p339 :rule implies_elim :premises (@p337)) % 0.53/0.74 (step @p340 false :rule chain_m_resolution :premises (@p339 @p334 @p55) :args (false @t129 (@list @t243 @t245))) % 0.53/0.74 ) % 0.53/0.74 % SZS output end Proof % 0.53/0.74 % cvc5 exiting %------------------------------------------------------------------------------