%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU318+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : 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 08:51:21 AM UTC 2026 % Result : Theorem 9.31s 9.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU318+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n016.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:56:39 EDT 2026 % 0.17/0.35 % CPUTime : % 0.26/0.51 %----Proving TF0_NAR, FOF, or CNF % 9.31/9.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 9.31/9.57 % SZS status Theorem % 9.31/9.57 % SZS output start Proof % 9.31/9.57 ( % 9.31/9.57 (declare-sort $$unsorted 0) % 9.31/9.57 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 9.31/9.57 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 9.31/9.57 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 9.31/9.57 (declare-const tptp.empty_set $$unsorted) % 9.31/9.57 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 9.31/9.57 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 9.31/9.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 9.31/9.57 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 9.31/9.57 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 9.31/9.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 9.31/9.57 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 9.31/9.57 (declare-const tptp.natural (-> $$unsorted Bool)) % 9.31/9.57 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 9.31/9.57 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 9.31/9.57 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 9.31/9.57 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 9.31/9.57 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 9.31/9.57 (declare-const tptp.top_str (-> $$unsorted Bool)) % 9.31/9.57 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 9.31/9.57 (declare-const tptp.empty (-> $$unsorted Bool)) % 9.31/9.57 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 9.31/9.57 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 9.31/9.57 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 9.31/9.57 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 9.31/9.57 (define @t1 () (@var "A" $$unsorted)) % 9.31/9.57 (define @t2 () (@var "B" $$unsorted)) % 9.31/9.57 (define @t3 () (tptp.in @t1 @t2)) % 9.31/9.57 (define @t4 () (@list @t1 @t2)) % 9.31/9.57 (define @t5 () (tptp.v1_xcmplx_0 @t2)) % 9.31/9.57 (define @t6 () (tptp.element @t2 @t1)) % 9.31/9.57 (define @t7 () (@list @t2)) % 9.31/9.57 (define @t8 () (tptp.v1_membered @t1)) % 9.31/9.57 (define @t9 () (@list @t1)) % 9.31/9.57 (define @t10 () (tptp.v1_xreal_0 @t2)) % 9.31/9.57 (define @t11 () (tptp.v2_membered @t1)) % 9.31/9.57 (define @t12 () (tptp.v1_rat_1 @t2)) % 9.31/9.57 (define @t13 () (tptp.v3_membered @t1)) % 9.31/9.57 (define @t14 () (tptp.v1_int_1 @t2)) % 9.31/9.57 (define @t15 () (tptp.v4_membered @t1)) % 9.31/9.57 (define @t16 () (tptp.v5_membered @t1)) % 9.31/9.57 (define @t17 () (tptp.empty @t1)) % 9.31/9.57 (define @t18 () (tptp.v1_membered @t2)) % 9.31/9.57 (define @t19 () (tptp.powerset @t1)) % 9.31/9.57 (define @t20 () (tptp.element @t2 @t19)) % 9.31/9.57 (define @t21 () (tptp.v2_membered @t2)) % 9.31/9.57 (define @t22 () (tptp.v3_membered @t2)) % 9.31/9.57 (define @t23 () (tptp.v4_membered @t2)) % 9.31/9.57 (define @t24 () (tptp.subset @t1 @t2)) % 9.31/9.57 (define @t25 () (= @t1 @t2)) % 9.31/9.57 (define @t26 () (forall @t4 (= @t25 (and @t24 (tptp.subset @t2 @t1))))) % 9.31/9.57 (define @t27 () (@var "C" $$unsorted)) % 9.31/9.57 (define @t28 () (tptp.in @t27 @t2)) % 9.31/9.57 (define @t29 () (tptp.in @t27 @t1)) % 9.31/9.57 (define @t30 () (@list @t27)) % 9.31/9.57 (define @t31 () (forall @t30 (=> @t29 @t28))) % 9.31/9.57 (define @t32 () (= @t24 @t31)) % 9.31/9.57 (define @t33 () (forall @t4 @t32)) % 9.31/9.57 (define @t34 () (tptp.the_carrier @t1)) % 9.31/9.57 (define @t35 () (tptp.powerset @t34)) % 9.31/9.57 (define @t36 () (tptp.topstr_closure @t1 @t2)) % 9.31/9.57 (define @t37 () (tptp.element @t36 @t35)) % 9.31/9.57 (define @t38 () (tptp.element @t2 @t35)) % 9.31/9.57 (define @t39 () (tptp.top_str @t1)) % 9.31/9.57 (define @t40 () (and @t39 @t38)) % 9.31/9.57 (define @t41 () (forall @t4 (=> @t40 @t37))) % 9.31/9.57 (define @t42 () (tptp.meet_of_subsets @t1 @t2)) % 9.31/9.57 (define @t43 () (tptp.element @t2 (tptp.powerset @t19))) % 9.31/9.57 (define @t44 () (tptp.one_sorted_str @t1)) % 9.31/9.57 (define @t45 () (not @t17)) % 9.31/9.57 (define @t46 () (tptp.empty @t2)) % 9.31/9.57 (define @t47 () (tptp.closed_subset @t2 @t1)) % 9.31/9.57 (define @t48 () (tptp.topological_space @t1)) % 9.31/9.57 (define @t49 () (and @t48 @t39)) % 9.31/9.57 (define @t50 () (tptp.element @t1 @t2)) % 9.31/9.57 (define @t51 () (tptp.element @t1 (tptp.powerset @t2))) % 9.31/9.57 (define @t52 () (forall @t4 (= @t51 @t24))) % 9.31/9.57 (define @t53 () (tptp.closed_subset (tptp.meet_of_subsets @t34 @t2) @t1)) % 9.31/9.57 (define @t54 () (tptp.closed_subset @t27 @t1)) % 9.31/9.57 (define @t55 () (=> @t28 @t54)) % 9.31/9.57 (define @t56 () (tptp.element @t27 @t35)) % 9.31/9.57 (define @t57 () (forall @t30 (=> @t56 @t55))) % 9.31/9.57 (define @t58 () (=> @t57 @t53)) % 9.31/9.57 (define @t59 () (tptp.powerset @t35)) % 9.31/9.57 (define @t60 () (tptp.element @t2 @t59)) % 9.31/9.57 (define @t61 () (=> @t60 @t58)) % 9.31/9.57 (define @t62 () (forall @t7 @t61)) % 9.31/9.57 (define @t63 () (=> @t49 @t62)) % 9.31/9.57 (define @t64 () (forall @t9 @t63)) % 9.31/9.57 (define @t65 () (@var "D" $$unsorted)) % 9.31/9.57 (define @t66 () (tptp.in @t27 @t65)) % 9.31/9.57 (define @t67 () (tptp.subset @t2 @t65)) % 9.31/9.57 (define @t68 () (tptp.closed_subset @t65 @t1)) % 9.31/9.57 (define @t69 () (and @t68 @t67)) % 9.31/9.57 (define @t70 () (=> @t69 @t66)) % 9.31/9.57 (define @t71 () (tptp.element @t65 @t35)) % 9.31/9.57 (define @t72 () (@list @t65)) % 9.31/9.57 (define @t73 () (forall @t72 (=> @t71 @t70))) % 9.31/9.57 (define @t74 () (tptp.in @t27 @t36)) % 9.31/9.57 (define @t75 () (= @t74 @t73)) % 9.31/9.57 (define @t76 () (tptp.in @t27 @t34)) % 9.31/9.57 (define @t77 () (=> @t76 @t75)) % 9.31/9.57 (define @t78 () (forall @t30 @t77)) % 9.31/9.57 (define @t79 () (=> @t38 @t78)) % 9.31/9.57 (define @t80 () (forall @t7 @t79)) % 9.31/9.57 (define @t81 () (=> @t39 @t80)) % 9.31/9.57 (define @t82 () (forall @t9 @t81)) % 9.31/9.57 (define @t83 () (tptp.meet_of_subsets @t34 @t27)) % 9.31/9.57 (define @t84 () (= @t36 @t83)) % 9.31/9.57 (define @t85 () (tptp.in @t65 @t27)) % 9.31/9.57 (define @t86 () (=> @t71 (= @t85 @t69))) % 9.31/9.57 (define @t87 () (forall @t72 @t86)) % 9.31/9.57 (define @t88 () (tptp.element @t27 @t59)) % 9.31/9.57 (define @t89 () (and @t88 @t87 @t84)) % 9.31/9.57 (define @t90 () (exists @t30 @t89)) % 9.31/9.57 (define @t91 () (=> @t38 @t90)) % 9.31/9.57 (define @t92 () (forall @t7 @t91)) % 9.31/9.57 (define @t93 () (=> @t49 @t92)) % 9.31/9.57 (define @t94 () (forall @t9 @t93)) % 9.31/9.57 (define @t95 () (tptp.subset @t2 @t36)) % 9.31/9.57 (define @t96 () (forall @t7 (=> @t38 @t95))) % 9.31/9.57 (define @t97 () (=> @t39 @t96)) % 9.31/9.57 (define @t98 () (forall @t9 @t97)) % 9.31/9.57 (define @t99 () (tptp.element @t2 (tptp.powerset @t27))) % 9.31/9.57 (define @t100 () (@list @t1 @t2 @t27)) % 9.31/9.57 (define @t101 () (= @t36 @t2)) % 9.31/9.57 (define @t102 () (and @t48 @t101)) % 9.31/9.57 (define @t103 () (=> @t102 @t47)) % 9.31/9.57 (define @t104 () (=> @t47 @t101)) % 9.31/9.57 (define @t105 () (and @t104 @t103)) % 9.31/9.57 (define @t106 () (=> @t38 @t105)) % 9.31/9.57 (define @t107 () (forall @t7 @t106)) % 9.31/9.57 (define @t108 () (=> @t39 @t107)) % 9.31/9.57 (define @t109 () (forall @t9 @t108)) % 9.31/9.57 (define @t110 () (not @t109)) % 9.31/9.57 (define @t111 () (@var "BOUND_VARIABLE_8084" $$unsorted)) % 9.31/9.57 (define @t112 () (@var "BOUND_VARIABLE_8082" $$unsorted)) % 9.31/9.57 (define @t113 () (not @t68)) % 9.31/9.57 (define @t114 () (not @t71)) % 9.31/9.57 (define @t115 () (= (tptp.in @t111 (tptp.topstr_closure @t1 @t112)) (forall @t72 (or @t114 @t113 (not (tptp.subset @t112 @t65)) (tptp.in @t111 @t65))))) % 9.31/9.57 (define @t116 () (not (tptp.in @t111 @t34))) % 9.31/9.57 (define @t117 () (not (tptp.element @t112 @t35))) % 9.31/9.57 (define @t118 () (not @t39)) % 9.31/9.57 (define @t119 () (or @t117 @t116 @t115)) % 9.31/9.57 (define @t120 () (or @t118 @t119)) % 9.31/9.57 (define @t121 () (forall (@list @t1 @t112 @t111) @t120)) % 9.31/9.57 (define @t122 () (@list @t112 @t111)) % 9.31/9.57 (define @t123 () (forall @t122 @t120)) % 9.31/9.57 (define @t124 () (forall @t122 @t119)) % 9.31/9.57 (define @t125 () (@var "BOUND_VARIABLE_8063" $$unsorted)) % 9.31/9.57 (define @t126 () (or @t118 @t124)) % 9.31/9.57 (define @t127 () (not @t67)) % 9.31/9.57 (define @t128 () (= (tptp.in @t125 @t36) (forall @t72 (or @t114 @t113 @t127 (tptp.in @t125 @t65))))) % 9.31/9.57 (define @t129 () (not (tptp.in @t125 @t34))) % 9.31/9.57 (define @t130 () (not @t38)) % 9.31/9.57 (define @t131 () (or @t130 @t129 @t128)) % 9.31/9.57 (define @t132 () (@list @t2 @t125)) % 9.31/9.57 (define @t133 () (forall @t132 @t131)) % 9.31/9.57 (define @t134 () (or @t129 @t128)) % 9.31/9.57 (define @t135 () (or @t130 @t134)) % 9.31/9.57 (define @t136 () (forall @t132 @t135)) % 9.31/9.57 (define @t137 () (@list @t125)) % 9.31/9.57 (define @t138 () (forall @t137 @t135)) % 9.31/9.57 (define @t139 () (forall @t137 @t134)) % 9.31/9.57 (define @t140 () (or @t130 @t139)) % 9.31/9.57 (define @t141 () (or @t114 @t113 @t127 @t66)) % 9.31/9.57 (define @t142 () (= @t74 (forall @t72 @t141))) % 9.31/9.57 (define @t143 () (forall @t30 (or (not @t76) @t142))) % 9.31/9.57 (define @t144 () (or @t113 @t127 @t66)) % 9.31/9.57 (define @t145 () (@var "BOUND_VARIABLE_8206" $$unsorted)) % 9.31/9.57 (define @t146 () (tptp.closed_subset @t145 @t1)) % 9.31/9.57 (define @t147 () (= @t145 (tptp.topstr_closure @t1 @t145))) % 9.31/9.57 (define @t148 () (not @t48)) % 9.31/9.57 (define @t149 () (and (or (not @t146) @t147) (or @t148 (not @t147) @t146))) % 9.31/9.57 (define @t150 () (not (tptp.element @t145 @t35))) % 9.31/9.57 (define @t151 () (or @t118 @t150 @t149)) % 9.31/9.57 (define @t152 () (@list @t1 @t145)) % 9.31/9.57 (define @t153 () (forall @t152 @t151)) % 9.31/9.57 (define @t154 () (@quantifiers_skolemize @t153 1)) % 9.31/9.57 (define @t155 () (@quantifiers_skolemize @t153 0)) % 9.31/9.57 (define @t156 () (tptp.topstr_closure @t155 @t154)) % 9.31/9.57 (define @t157 () (not (tptp.in @t27 @t156))) % 9.31/9.57 (define @t158 () (forall @t30 (or @t157 (tptp.in @t27 @t154)))) % 9.31/9.57 (define @t159 () (@quantifiers_skolemize @t158 0)) % 9.31/9.57 (define @t160 () (tptp.the_carrier @t155)) % 9.31/9.57 (define @t161 () (@list @t156 @t160)) % 9.31/9.57 (define @t162 () (tptp.subset @t156 @t160)) % 9.31/9.57 (define @t163 () (tptp.powerset @t160)) % 9.31/9.57 (define @t164 () (tptp.element @t156 @t163)) % 9.31/9.57 (define @t165 () (forall @t4 (= @t24 @t51))) % 9.31/9.57 (define @t166 () (= @t162 @t164)) % 9.31/9.57 (define @t167 () (= @t164 @t162)) % 9.31/9.57 (define @t168 () (@list false)) % 9.31/9.57 (define @t169 () (@list @t155 @t154)) % 9.31/9.57 (define @t170 () (or @t150 @t149)) % 9.31/9.57 (define @t171 () (or @t118 @t170)) % 9.31/9.57 (define @t172 () (forall @t152 @t171)) % 9.31/9.57 (define @t173 () (@list @t145)) % 9.31/9.57 (define @t174 () (forall @t173 @t171)) % 9.31/9.57 (define @t175 () (forall @t173 @t170)) % 9.31/9.57 (define @t176 () (@list @t2)) % 9.31/9.57 (define @t177 () (or @t118 @t175)) % 9.31/9.57 (define @t178 () (= @t2 @t36)) % 9.31/9.57 (define @t179 () (not @t178)) % 9.31/9.57 (define @t180 () (or @t148 @t179 @t47)) % 9.31/9.57 (define @t181 () (forall @t7 (or @t130 (and (or (not @t47) @t178) @t180)))) % 9.31/9.57 (define @t182 () (and @t48 @t178)) % 9.31/9.57 (define @t183 () (and (=> @t47 @t178) (=> @t182 @t47))) % 9.31/9.57 (define @t184 () (tptp.element @t154 @t163)) % 9.31/9.57 (define @t185 () (tptp.closed_subset @t154 @t155)) % 9.31/9.57 (define @t186 () (= @t154 @t156)) % 9.31/9.57 (define @t187 () (not @t186)) % 9.31/9.57 (define @t188 () (tptp.topological_space @t155)) % 9.31/9.57 (define @t189 () (not @t188)) % 9.31/9.57 (define @t190 () (or @t189 @t187 @t185)) % 9.31/9.57 (define @t191 () (not @t185)) % 9.31/9.57 (define @t192 () (or @t191 @t186)) % 9.31/9.57 (define @t193 () (and @t192 @t190)) % 9.31/9.57 (define @t194 () (not @t184)) % 9.31/9.57 (define @t195 () (tptp.top_str @t155)) % 9.31/9.57 (define @t196 () (not @t195)) % 9.31/9.57 (define @t197 () (or @t196 @t194 @t193)) % 9.31/9.57 (define @t198 () (@list true)) % 9.31/9.57 (define @t199 () (@list @t197)) % 9.31/9.57 (define @t200 () (or @t196 @t194 @t164)) % 9.31/9.57 (define @t201 () (@list false false false)) % 9.31/9.57 (define @t202 () (@list false false)) % 9.31/9.57 (define @t203 () (forall @t30 (or @t157 (tptp.in @t27 @t160)))) % 9.31/9.57 (define @t204 () (= @t162 @t203)) % 9.31/9.57 (define @t205 () (not @t191)) % 9.31/9.57 (define @t206 () (@var "BOUND_VARIABLE_8129" $$unsorted)) % 9.31/9.57 (define @t207 () (tptp.topstr_closure @t1 @t206)) % 9.31/9.57 (define @t208 () (not (= @t207 @t83))) % 9.31/9.57 (define @t209 () (and @t68 (tptp.subset @t206 @t65))) % 9.31/9.57 (define @t210 () (or @t114 (= @t209 @t85))) % 9.31/9.57 (define @t211 () (forall @t72 @t210)) % 9.31/9.57 (define @t212 () (not @t211)) % 9.31/9.57 (define @t213 () (not @t88)) % 9.31/9.57 (define @t214 () (or @t213 @t212 @t208)) % 9.31/9.57 (define @t215 () (forall @t30 @t214)) % 9.31/9.57 (define @t216 () (not @t215)) % 9.31/9.57 (define @t217 () (not (tptp.element @t206 @t35))) % 9.31/9.57 (define @t218 () (or @t148 @t118 @t217 @t216)) % 9.31/9.57 (define @t219 () (or @t217 @t216)) % 9.31/9.57 (define @t220 () (or @t148 @t118 @t219)) % 9.31/9.57 (define @t221 () (@list @t1 @t206)) % 9.31/9.57 (define @t222 () (forall @t221 @t220)) % 9.31/9.57 (define @t223 () (@list @t206)) % 9.31/9.57 (define @t224 () (forall @t223 @t220)) % 9.31/9.57 (define @t225 () (forall @t223 @t219)) % 9.31/9.57 (define @t226 () (or @t148 @t118 @t225)) % 9.31/9.57 (define @t227 () (not @t84)) % 9.31/9.57 (define @t228 () (= @t69 @t85)) % 9.31/9.57 (define @t229 () (forall @t72 (or @t114 @t228))) % 9.31/9.57 (define @t230 () (not @t229)) % 9.31/9.57 (define @t231 () (or @t213 @t230 @t227)) % 9.31/9.57 (define @t232 () (not (forall @t30 @t231))) % 9.31/9.57 (define @t233 () (forall @t7 (or @t130 @t232))) % 9.31/9.57 (define @t234 () (or @t148 @t118 @t233)) % 9.31/9.57 (define @t235 () (or @t148 @t118)) % 9.31/9.57 (define @t236 () (not @t49)) % 9.31/9.57 (define @t237 () (and @t88 @t229 @t84)) % 9.31/9.57 (define @t238 () (forall @t30 (not @t237))) % 9.31/9.57 (define @t239 () (not @t238)) % 9.31/9.57 (define @t240 () (tptp.meet_of_subsets @t160 @t27)) % 9.31/9.57 (define @t241 () (not (= @t240 @t156))) % 9.31/9.57 (define @t242 () (tptp.subset @t154 @t65)) % 9.31/9.57 (define @t243 () (tptp.closed_subset @t65 @t155)) % 9.31/9.57 (define @t244 () (and @t243 @t242)) % 9.31/9.57 (define @t245 () (not (tptp.element @t65 @t163))) % 9.31/9.57 (define @t246 () (not (forall @t72 (or @t245 (= @t85 @t244))))) % 9.31/9.57 (define @t247 () (tptp.powerset @t163)) % 9.31/9.57 (define @t248 () (not (tptp.element @t27 @t247))) % 9.31/9.57 (define @t249 () (or @t248 @t246 @t241)) % 9.31/9.57 (define @t250 () (forall @t30 @t249)) % 9.31/9.57 (define @t251 () (not @t250)) % 9.31/9.57 (define @t252 () (or @t189 @t196 @t194 @t251)) % 9.31/9.57 (define @t253 () (forall @t221 (or @t148 @t118 @t217 (not (forall @t30 (or @t213 (not (forall @t72 (or @t114 (= @t85 @t209)))) (not (= @t83 @t207)))))))) % 9.31/9.57 (define @t254 () (forall @t30 (or @t248 @t246 (not (= @t156 @t240))))) % 9.31/9.57 (define @t255 () (not @t254)) % 9.31/9.57 (define @t256 () (or @t189 @t196 @t194 @t255)) % 9.31/9.57 (define @t257 () (@quantifiers_skolemize @t254 0)) % 9.31/9.57 (define @t258 () (tptp.meet_of_subsets @t160 @t257)) % 9.31/9.57 (define @t259 () (= @t156 @t258)) % 9.31/9.57 (define @t260 () (not @t259)) % 9.31/9.57 (define @t261 () (tptp.in @t65 @t257)) % 9.31/9.57 (define @t262 () (forall @t72 (or @t245 (= @t244 @t261)))) % 9.31/9.57 (define @t263 () (not @t262)) % 9.31/9.57 (define @t264 () (tptp.element @t257 @t247)) % 9.31/9.57 (define @t265 () (not @t264)) % 9.31/9.57 (define @t266 () (or @t265 @t263 @t260)) % 9.31/9.57 (define @t267 () (not @t266)) % 9.31/9.57 (define @t268 () (or @t245 (= @t261 @t244))) % 9.31/9.57 (define @t269 () (forall @t72 @t268)) % 9.31/9.57 (define @t270 () (not @t269)) % 9.31/9.57 (define @t271 () (or @t265 @t270 @t260)) % 9.31/9.57 (define @t272 () (not @t271)) % 9.31/9.57 (define @t273 () (forall @t30 (or (not (tptp.element @t27 @t163)) (not (tptp.in @t27 @t257)) (tptp.closed_subset @t27 @t155)))) % 9.31/9.57 (define @t274 () (@quantifiers_skolemize @t273 0)) % 9.31/9.57 (define @t275 () (tptp.closed_subset @t274 @t155)) % 9.31/9.57 (define @t276 () (and @t275 (tptp.subset @t154 @t274))) % 9.31/9.57 (define @t277 () (tptp.in @t274 @t257)) % 9.31/9.57 (define @t278 () (tptp.element @t274 @t163)) % 9.31/9.57 (define @t279 () (not @t278)) % 9.31/9.57 (define @t280 () (or @t279 (= @t276 @t277))) % 9.31/9.57 (define @t281 () (tptp.closed_subset @t258 @t155)) % 9.31/9.57 (define @t282 () (not @t281)) % 9.31/9.57 (define @t283 () (and @t191 @t186 @t259)) % 9.31/9.57 (define @t284 () (@var "BOUND_VARIABLE_8027" $$unsorted)) % 9.31/9.57 (define @t285 () (tptp.closed_subset (tptp.meet_of_subsets @t34 @t284) @t1)) % 9.31/9.57 (define @t286 () (not @t56)) % 9.31/9.57 (define @t287 () (not (forall @t30 (or @t286 (not (tptp.in @t27 @t284)) @t54)))) % 9.31/9.57 (define @t288 () (not (tptp.element @t284 @t59))) % 9.31/9.57 (define @t289 () (or @t288 @t287 @t285)) % 9.31/9.57 (define @t290 () (or @t148 @t118 @t289)) % 9.31/9.57 (define @t291 () (forall (@list @t1 @t284) @t290)) % 9.31/9.57 (define @t292 () (@list @t284)) % 9.31/9.57 (define @t293 () (forall @t292 @t290)) % 9.31/9.57 (define @t294 () (forall @t292 @t289)) % 9.31/9.57 (define @t295 () (or @t148 @t118 @t294)) % 9.31/9.57 (define @t296 () (not @t28)) % 9.31/9.57 (define @t297 () (or @t286 @t296 @t54)) % 9.31/9.57 (define @t298 () (forall @t30 @t297)) % 9.31/9.57 (define @t299 () (not @t298)) % 9.31/9.57 (define @t300 () (not @t60)) % 9.31/9.57 (define @t301 () (or @t300 @t299 @t53)) % 9.31/9.57 (define @t302 () (forall @t7 @t301)) % 9.31/9.57 (define @t303 () (or @t148 @t118 @t302)) % 9.31/9.57 (define @t304 () (=> @t298 @t53)) % 9.31/9.57 (define @t305 () (not @t273)) % 9.31/9.57 (define @t306 () (or @t189 @t196 @t265 @t305 @t281)) % 9.31/9.57 (define @t307 () (not @t277)) % 9.31/9.57 (define @t308 () (or @t279 @t307 @t275)) % 9.31/9.57 (define @t309 () (not @t308)) % 9.31/9.57 (define @t310 () (= @t277 @t276)) % 9.31/9.57 (define @t311 () (or @t279 @t310)) % 9.31/9.57 (define @t312 () (@list true false)) % 9.31/9.57 (define @t313 () (tptp.subset @t156 @t154)) % 9.31/9.57 (define @t314 () (tptp.subset @t154 @t156)) % 9.31/9.57 (define @t315 () (and @t314 @t313)) % 9.31/9.57 (define @t316 () (= @t186 @t315)) % 9.31/9.57 (define @t317 () (not @t315)) % 9.31/9.57 (define @t318 () (@var "BOUND_VARIABLE_8168" $$unsorted)) % 9.31/9.57 (define @t319 () (tptp.subset @t318 (tptp.topstr_closure @t1 @t318))) % 9.31/9.57 (define @t320 () (not (tptp.element @t318 @t35))) % 9.31/9.57 (define @t321 () (or @t320 @t319)) % 9.31/9.57 (define @t322 () (or @t118 @t321)) % 9.31/9.57 (define @t323 () (forall (@list @t1 @t318) @t322)) % 9.31/9.57 (define @t324 () (@list @t318)) % 9.31/9.57 (define @t325 () (forall @t324 @t322)) % 9.31/9.57 (define @t326 () (forall @t324 @t321)) % 9.31/9.57 (define @t327 () (or @t118 @t326)) % 9.31/9.57 (define @t328 () (forall @t7 (or @t130 @t95))) % 9.31/9.57 (define @t329 () (or @t196 @t194 @t314)) % 9.31/9.57 (define @t330 () (not @t313)) % 9.31/9.57 (define @t331 () (= @t313 @t158)) % 9.31/9.57 (define @t332 () (not @t158)) % 9.31/9.57 (define @t333 () (tptp.in @t159 @t154)) % 9.31/9.57 (define @t334 () (tptp.in @t159 @t156)) % 9.31/9.57 (define @t335 () (not @t334)) % 9.31/9.57 (define @t336 () (or @t335 @t333)) % 9.31/9.57 (define @t337 () (not @t336)) % 9.31/9.57 (define @t338 () (@list @t336)) % 9.31/9.57 (define @t339 () (tptp.in @t159 @t160)) % 9.31/9.57 (define @t340 () (or @t335 @t339)) % 9.31/9.57 (define @t341 () (forall @t72 (or @t245 (not @t243) (not @t242) (tptp.in @t159 @t65)))) % 9.31/9.57 (define @t342 () (= @t334 @t341)) % 9.31/9.57 (define @t343 () (not @t339)) % 9.31/9.57 (define @t344 () (or @t196 @t194 @t343 @t342)) % 9.31/9.57 (define @t345 () (tptp.subset @t154 @t154)) % 9.31/9.57 (define @t346 () (and @t345 @t345)) % 9.31/9.57 (define @t347 () (= (= @t154 @t154) @t346)) % 9.31/9.57 (define @t348 () (not @t345)) % 9.31/9.57 (define @t349 () (or @t194 @t191 @t348 @t333)) % 9.31/9.57 (define @t350 () (not @t349)) % 9.31/9.57 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 9.31/9.57 (assume @p2 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 9.31/9.57 (assume @p3 (forall @t9 (=> @t11 (forall @t7 (=> @t6 (and @t5 @t10)))))) % 9.31/9.57 (assume @p4 (forall @t9 (=> @t13 (forall @t7 (=> @t6 (and @t5 @t10 @t12)))))) % 9.31/9.57 (assume @p5 (forall @t9 (=> @t15 (forall @t7 (=> @t6 (and @t5 @t10 @t14 @t12)))))) % 9.31/9.57 (assume @p6 (forall @t9 (=> @t16 (forall @t7 (=> @t6 (and @t5 (tptp.natural @t2) @t10 @t14 @t12)))))) % 9.31/9.57 (assume @p7 (forall @t9 (=> @t17 (and @t8 @t11 @t13 @t15 @t16)))) % 9.31/9.57 (assume @p8 (forall @t9 (=> @t8 (forall @t7 (=> @t20 @t18))))) % 9.31/9.57 (assume @p9 (forall @t9 (=> @t11 (forall @t7 (=> @t20 (and @t18 @t21)))))) % 9.31/9.57 (assume @p10 (forall @t9 (=> @t13 (forall @t7 (=> @t20 (and @t18 @t21 @t22)))))) % 9.31/9.57 (assume @p11 (forall @t9 (=> @t15 (forall @t7 (=> @t20 (and @t18 @t21 @t22 @t23)))))) % 9.31/9.57 (assume @p12 (forall @t9 (=> @t16 @t15))) % 9.31/9.57 (assume @p13 (forall @t9 (=> @t16 (forall @t7 (=> @t20 (and @t18 @t21 @t22 @t23 (tptp.v5_membered @t2))))))) % 9.31/9.57 (assume @p14 (forall @t9 (=> @t15 @t13))) % 9.31/9.57 (assume @p15 (forall @t9 (=> @t13 @t11))) % 9.31/9.57 (assume @p16 (forall @t9 (=> @t11 @t8))) % 9.31/9.57 (assume @p17 @t26) % 9.31/9.57 (assume @p18 @t33) % 9.31/9.57 (assume @p19 true) % 9.31/9.57 (assume @p20 @t41) % 9.31/9.57 (assume @p21 (forall @t4 (=> @t43 (tptp.element @t42 @t19)))) % 9.31/9.57 (assume @p22 (forall @t9 (=> @t39 @t44))) % 9.31/9.57 (assume @p23 (exists @t9 @t39)) % 9.31/9.57 (assume @p24 (exists @t9 @t44)) % 9.31/9.57 (assume @p25 (forall @t9 (exists @t7 @t6))) % 9.31/9.57 (assume @p26 (forall @t9 (not (tptp.empty @t19)))) % 9.31/9.57 (assume @p27 (and (tptp.empty tptp.empty_set) (tptp.v1_membered tptp.empty_set) (tptp.v2_membered tptp.empty_set) (tptp.v3_membered tptp.empty_set) (tptp.v4_membered tptp.empty_set) (tptp.v5_membered tptp.empty_set))) % 9.31/9.57 (assume @p28 (exists @t9 (and @t45 @t8 @t11 @t13 @t15 @t16))) % 9.31/9.57 (assume @p29 (forall @t9 (=> @t45 (exists @t7 (and @t20 (not @t46)))))) % 9.31/9.57 (assume @p30 (forall @t9 (exists @t7 (and @t20 @t46)))) % 9.31/9.57 (assume @p31 (forall @t9 (=> @t49 (exists @t7 (and @t38 @t47))))) % 9.31/9.57 (assume @p32 (forall @t4 (=> @t43 (= @t42 (tptp.set_meet @t2))))) % 9.31/9.57 (assume @p33 (forall @t4 (tptp.subset @t1 @t1))) % 9.31/9.57 (assume @p34 (forall @t4 (=> @t3 @t50))) % 9.31/9.57 (assume @p35 (forall @t4 (=> @t50 (or @t46 @t3)))) % 9.31/9.57 (assume @p36 @t52) % 9.31/9.57 (assume @p37 @t64) % 9.31/9.57 (assume @p38 @t82) % 9.31/9.57 (assume @p39 @t94) % 9.31/9.57 (assume @p40 @t98) % 9.31/9.57 (assume @p41 (forall @t100 (=> (and @t3 @t99) (tptp.element @t1 @t27)))) % 9.31/9.57 (assume @p42 @t110) % 9.31/9.57 (assume @p43 (forall @t100 (not (and @t3 @t99 (tptp.empty @t27))))) % 9.31/9.57 (assume @p44 (forall @t9 (=> @t17 (= @t1 tptp.empty_set)))) % 9.31/9.57 (assume @p45 (forall @t4 (not (and @t3 @t46)))) % 9.31/9.57 (assume @p46 (forall @t4 (not (and @t17 (not @t25) @t46)))) % 9.31/9.57 (step @p47 :rule aci_norm :args ((= @t120 (or @t118 @t117 @t116 @t115)))) % 9.31/9.57 (step @p48 :rule cong :premises (@p47) :args (@t121)) % 9.31/9.57 (step @p49 :rule quant-merge-prenex :args ((= (forall @t9 @t123) @t121))) % 9.31/9.57 (step @p50 :rule alpha_equiv :args (@t124 (@list @t112 @t111) (@list @t2 @t125))) % 9.31/9.57 (step @p51 :rule refl :args (@t118)) % 9.31/9.57 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t126)) % 9.31/9.57 (step @p53 :rule quant-miniscope-or :args ((= @t123 @t126))) % 9.31/9.57 (step @p54 :rule trans :premises (@p53 @p52)) % 9.31/9.57 (step @p55 :rule symm :premises (@p54)) % 9.31/9.57 (step @p56 :rule cong :premises (@p55) :args ((forall @t9 (or @t118 @t133)))) % 9.31/9.57 (step @p57 :rule trans :premises (@p56 @p49)) % 9.31/9.57 (step @p58 :rule trans :premises (@p57 @p48)) % 9.31/9.57 (step @p59 :rule bool-impl-elim :args (@t39 @t133)) % 9.31/9.57 (step @p60 :rule cong :premises (@p59) :args ((forall @t9 (=> @t39 @t133)))) % 9.31/9.57 (step @p61 :rule trans :premises (@p60 @p58)) % 9.31/9.57 (step @p62 :rule aci_norm :args ((= @t135 @t131))) % 9.31/9.57 (step @p63 :rule cong :premises (@p62) :args (@t136)) % 9.31/9.57 (step @p64 :rule quant-merge-prenex :args ((= (forall @t7 @t138) @t136))) % 9.31/9.57 (step @p65 :rule alpha_equiv :args (@t139 (@list @t125) (@list @t27))) % 9.31/9.57 (step @p66 :rule refl :args (@t130)) % 9.31/9.57 (step @p67 :rule nary_cong :premises (@p66 @p65) :args (@t140)) % 9.31/9.57 (step @p68 :rule quant-miniscope-or :args ((= @t138 @t140))) % 9.31/9.57 (step @p69 :rule trans :premises (@p68 @p67)) % 9.31/9.57 (step @p70 :rule symm :premises (@p69)) % 9.31/9.57 (step @p71 :rule cong :premises (@p70) :args ((forall @t7 (or @t130 @t143)))) % 9.31/9.57 (step @p72 :rule trans :premises (@p71 @p64)) % 9.31/9.57 (step @p73 :rule trans :premises (@p72 @p63)) % 9.31/9.57 (step @p74 :rule bool-impl-elim :args (@t38 @t143)) % 9.31/9.57 (step @p75 :rule cong :premises (@p74) :args ((forall @t7 (=> @t38 @t143)))) % 9.31/9.57 (step @p76 :rule trans :premises (@p75 @p73)) % 9.31/9.57 (step @p77 :rule bool-impl-elim :args (@t76 @t142)) % 9.31/9.57 (step @p78 :rule cong :premises (@p77) :args ((forall @t30 (=> @t76 @t142)))) % 9.31/9.57 (step @p79 :rule aci_norm :args ((= (or @t114 @t144) @t141))) % 9.31/9.57 (step @p80 :rule aci_norm :args ((= (or (or @t113 @t127) @t66) @t144))) % 9.31/9.57 (step @p81 :rule refl :args (@t66)) % 9.31/9.57 (step @p82 :rule bool-and-de-morgan :args (@t68 @t67 true)) % 9.31/9.57 (step @p83 :rule nary_cong :premises (@p82 @p81) :args ((or (not @t69) @t66))) % 9.31/9.57 (step @p84 :rule trans :premises (@p83 @p80)) % 9.31/9.57 (step @p85 :rule bool-impl-elim :args (@t69 @t66)) % 9.31/9.57 (step @p86 :rule trans :premises (@p85 @p84)) % 9.31/9.57 (step @p87 :rule refl :args (@t114)) % 9.31/9.57 (step @p88 :rule nary_cong :premises (@p87 @p86) :args ((or @t114 @t70))) % 9.31/9.57 (step @p89 :rule trans :premises (@p88 @p79)) % 9.31/9.57 (step @p90 :rule bool-impl-elim :args (@t71 @t70)) % 9.31/9.57 (step @p91 :rule trans :premises (@p90 @p89)) % 9.31/9.57 (step @p92 :rule cong :premises (@p91) :args (@t73)) % 9.31/9.57 (step @p93 :rule refl :args (@t74)) % 9.31/9.57 (step @p94 :rule cong :premises (@p93 @p92) :args (@t75)) % 9.31/9.57 (step @p95 :rule refl :args (@t76)) % 9.31/9.57 (step @p96 :rule cong :premises (@p95 @p94) :args (@t77)) % 9.31/9.57 (step @p97 :rule cong :premises (@p96) :args (@t78)) % 9.31/9.57 (step @p98 :rule trans :premises (@p97 @p78)) % 9.31/9.57 (step @p99 :rule refl :args (@t38)) % 9.31/9.57 (step @p100 :rule cong :premises (@p99 @p98) :args (@t79)) % 9.31/9.57 (step @p101 :rule cong :premises (@p100) :args (@t80)) % 9.31/9.57 (step @p102 :rule trans :premises (@p101 @p76)) % 9.31/9.57 (step @p103 :rule refl :args (@t39)) % 9.31/9.57 (step @p104 :rule cong :premises (@p103 @p102) :args (@t81)) % 9.31/9.57 (step @p105 :rule cong :premises (@p104) :args (@t82)) % 9.31/9.57 (step @p106 :rule trans :premises (@p105 @p61)) % 9.31/9.57 (step @p107 :rule eq_resolve :premises (@p38 @p106)) % 9.31/9.57 (step @p108 :rule instantiate :premises (@p107) :args ((@list @t155 @t154 @t159))) % 9.31/9.57 (step @p109 :rule bool-impl-elim :args (@t29 @t28)) % 9.31/9.57 (step @p110 :rule cong :premises (@p109) :args (@t31)) % 9.31/9.57 (step @p111 :rule refl :args (@t24)) % 9.31/9.57 (step @p112 :rule cong :premises (@p111 @p110) :args (@t32)) % 9.31/9.57 (step @p113 :rule cong :premises (@p112) :args (@t33)) % 9.31/9.57 (step @p114 :rule eq_resolve :premises (@p18 @p113)) % 9.31/9.57 (step @p115 :rule instantiate :premises (@p114) :args (@t161)) % 9.31/9.57 (step @p116 :rule eq-symm :args (@t51 @t24)) % 9.31/9.57 (step @p117 :rule cong :premises (@p116) :args (@t52)) % 9.31/9.57 (step @p118 :rule eq_resolve :premises (@p36 @p117)) % 9.31/9.57 (step @p119 :rule eq-symm :args (@t162 @t164)) % 9.31/9.57 (step @p120 :rule refl :args (@t165)) % 9.31/9.57 (step @p121 :rule cong :premises (@p120 @p119) :args ((=> @t165 @t166))) % 9.31/9.57 (assume-push @p566 @t165) % 9.31/9.57 (step @p123 :rule instantiate :premises (@p118) :args (@t161)) % 9.31/9.57 (step-pop @p567 :rule scope :premises (@p123)) % 9.31/9.57 (step @p124 :rule process_scope :premises (@p567) :args (@t166)) % 9.31/9.57 (step @p126 :rule eq_resolve :premises (@p124 @p121)) % 9.31/9.57 (step @p127 :rule implies_elim :premises (@p126)) % 9.31/9.57 (step @p128 :rule chain_m_resolution :premises (@p127 @p118) :args (@t167 @t168 (@list @t165))) % 9.31/9.57 (step @p129 :rule aci_norm :args ((= (or (or @t118 @t130) @t37) (or @t118 @t130 @t37)))) % 9.31/9.57 (step @p130 :rule refl :args (@t37)) % 9.31/9.57 (step @p131 :rule bool-and-de-morgan :args (@t39 @t38 true)) % 9.31/9.57 (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or (not @t40) @t37))) % 9.31/9.57 (step @p133 :rule trans :premises (@p132 @p129)) % 9.31/9.57 (step @p134 :rule bool-impl-elim :args (@t40 @t37)) % 9.31/9.57 (step @p135 :rule trans :premises (@p134 @p133)) % 9.31/9.57 (step @p136 :rule cong :premises (@p135) :args (@t41)) % 9.31/9.57 (step @p137 :rule eq_resolve :premises (@p20 @p136)) % 9.31/9.57 (step @p138 :rule instantiate :premises (@p137) :args (@t169)) % 9.31/9.57 (step @p139 :rule aci_norm :args ((= @t171 @t151))) % 9.31/9.57 (step @p140 :rule cong :premises (@p139) :args (@t172)) % 9.31/9.57 (step @p141 :rule quant-merge-prenex :args ((= (forall @t9 @t174) @t172))) % 9.31/9.57 (step @p142 :rule alpha_equiv :args (@t175 (@list @t145) @t176)) % 9.31/9.57 (step @p143 :rule nary_cong :premises (@p51 @p142) :args (@t177)) % 9.31/9.57 (step @p144 :rule quant-miniscope-or :args ((= @t174 @t177))) % 9.31/9.57 (step @p145 :rule trans :premises (@p144 @p143)) % 9.31/9.57 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(@t155)) % 9.31/9.57 (step @p378 :rule symm :premises (@p575)) % 9.31/9.57 (step @p379 :rule cong :premises (@p378 @p377) :args ((tptp.closed_subset @t156 @t155))) % 9.31/9.57 (step @p380 :rule symm :premises (@p576)) % 9.31/9.57 (step @p381 :rule cong :premises (@p380 @p377) :args (@t281)) % 9.31/9.57 (step @p382 :rule trans :premises (@p381 @p379 @p376)) % 9.31/9.57 (step @p383 :rule false_elim :premises (@p382)) % 9.31/9.57 (step-pop @p580 :rule scope :premises (@p383)) % 9.31/9.57 (step-pop @p581 :rule scope :premises (@p580)) % 9.31/9.57 (step-pop @p582 :rule scope :premises (@p581)) % 9.31/9.57 (step @p384 :rule process_scope :premises (@p582) :args (@t282)) % 9.31/9.57 (step @p388 :rule and_intro :premises (@p574 @p575 @p576)) % 9.31/9.57 (step @p389 :rule modus_ponens :premises (@p388 @p384)) % 9.31/9.57 (step-pop @p583 :rule scope :premises (@p389)) % 9.31/9.57 (step-pop @p584 :rule scope :premises (@p583)) % 9.31/9.57 (step-pop @p585 :rule scope :premises (@p584)) % 9.31/9.57 (step @p390 :rule process_scope :premises (@p585) :args (@t282)) % 9.31/9.57 (step @p394 :rule implies_elim :premises (@p390)) % 9.31/9.57 (step @p395 :rule cnf_and_neg :args (@t283)) % 9.31/9.57 (step @p396 :rule resolution :premises (@p395 @p394) :args (true @t283)) % 9.31/9.57 (step @p397 :rule eq_resolve :premises (@p396 @p369)) % 9.31/9.57 (step @p398 :rule aci_norm :args ((= @t290 (or @t148 @t118 @t288 @t287 @t285)))) % 9.31/9.57 (step @p399 :rule cong :premises (@p398) :args (@t291)) % 9.31/9.57 (step @p400 :rule quant-merge-prenex :args ((= (forall @t9 @t293) @t291))) % 9.31/9.57 (step @p401 :rule alpha_equiv :args (@t294 (@list @t284) @t176)) % 9.31/9.57 (step @p402 :rule nary_cong :premises (@p247 @p51 @p401) :args (@t295)) % 9.31/9.57 (step @p403 :rule quant-miniscope-or :args ((= @t293 @t295))) % 9.31/9.57 (step @p404 :rule trans :premises (@p403 @p402)) % 9.31/9.57 (step @p405 :rule symm :premises (@p404)) % 9.31/9.57 (step @p406 :rule cong :premises (@p405) :args ((forall @t9 @t303))) % 9.31/9.57 (step @p407 :rule trans :premises (@p406 @p400)) % 9.31/9.57 (step @p408 :rule trans :premises (@p407 @p399)) % 9.31/9.57 (step @p409 :rule aci_norm :args ((= (or @t235 @t302) @t303))) % 9.31/9.57 (step @p410 :rule refl :args (@t302)) % 9.31/9.57 (step @p411 :rule nary_cong :premises (@p257 @p410) :args ((or @t236 @t302))) % 9.31/9.57 (step @p412 :rule trans :premises (@p411 @p409)) % 9.31/9.57 (step @p413 :rule bool-impl-elim :args (@t49 @t302)) % 9.31/9.57 (step @p414 :rule trans :premises (@p413 @p412)) % 9.31/9.57 (step @p415 :rule cong :premises (@p414) :args ((forall @t9 (=> @t49 @t302)))) % 9.31/9.57 (step @p416 :rule trans :premises (@p415 @p408)) % 9.31/9.57 (step @p417 :rule aci_norm :args ((= (or @t300 (or @t299 @t53)) @t301))) % 9.31/9.57 (step @p418 :rule bool-impl-elim :args (@t298 @t53)) % 9.31/9.57 (step @p419 :rule refl :args (@t300)) % 9.31/9.57 (step @p420 :rule nary_cong :premises (@p419 @p418) :args ((or @t300 @t304))) % 9.31/9.57 (step @p421 :rule trans :premises (@p420 @p417)) % 9.31/9.57 (step @p422 :rule bool-impl-elim :args (@t60 @t304)) % 9.31/9.57 (step @p423 :rule trans :premises (@p422 @p421)) % 9.31/9.57 (step @p424 :rule cong :premises (@p423) :args ((forall @t7 (=> @t60 @t304)))) % 9.31/9.57 (step @p425 :rule refl :args (@t53)) % 9.31/9.57 (step @p426 :rule aci_norm :args ((= (or @t286 (or @t296 @t54)) @t297))) % 9.31/9.57 (step @p427 :rule bool-impl-elim :args (@t28 @t54)) % 9.31/9.57 (step @p428 :rule refl :args (@t286)) % 9.31/9.57 (step @p429 :rule nary_cong :premises (@p428 @p427) :args ((or @t286 @t55))) % 9.31/9.57 (step @p430 :rule trans :premises (@p429 @p426)) % 9.31/9.57 (step @p431 :rule bool-impl-elim :args (@t56 @t55)) % 9.31/9.57 (step @p432 :rule trans :premises (@p431 @p430)) % 9.31/9.57 (step @p433 :rule cong :premises (@p432) :args (@t57)) % 9.31/9.57 (step @p434 :rule cong :premises (@p433 @p425) :args (@t58)) % 9.31/9.57 (step @p435 :rule refl :args (@t60)) % 9.31/9.57 (step @p436 :rule cong :premises (@p435 @p434) :args (@t61)) % 9.31/9.57 (step @p437 :rule cong :premises (@p436) :args (@t62)) % 9.31/9.57 (step @p438 :rule trans :premises (@p437 @p424)) % 9.31/9.57 (step @p439 :rule cong :premises (@p292 @p438) :args (@t63)) % 9.31/9.57 (step @p440 :rule cong :premises (@p439) :args (@t64)) % 9.31/9.57 (step @p441 :rule trans :premises (@p440 @p416)) % 9.31/9.57 (step @p442 :rule eq_resolve :premises (@p37 @p441)) % 9.31/9.57 (step @p443 :rule instantiate :premises (@p442) :args ((@list @t155 @t257))) % 9.31/9.57 (step @p444 :rule cnf_or_pos :args (@t306)) % 9.31/9.57 (step @p445 :rule reordering :premises (@p444) :args ((or @t196 @t189 @t265 @t305 @t281 (not @t306)))) % 9.31/9.57 (step @p446 :rule refl :args (@t309)) % 9.31/9.57 (step @p447 :rule bool-double-not-elim :args (@t273)) % 9.31/9.57 (step @p448 :rule nary_cong :premises (@p447 @p446) :args ((or (not @t305) @t309))) % 9.31/9.57 (assume-push @p586 @t305) % 9.31/9.57 (step @p450 :rule skolemize :premises (@p586)) % 9.31/9.57 (step-pop @p587 :rule scope :premises (@p450)) % 9.31/9.57 (step @p451 :rule process_scope :premises (@p587) :args (@t309)) % 9.31/9.57 (step @p453 :rule implies_elim :premises (@p451)) % 9.31/9.57 (step @p454 :rule eq_resolve :premises (@p453 @p448)) % 9.31/9.57 (step @p455 :rule bool-double-not-elim :args (@t278)) % 9.31/9.57 (step @p456 :rule refl :args (@t308)) % 9.31/9.57 (step @p457 :rule nary_cong :premises (@p456 @p455) :args ((or @t308 (not @t279)))) % 9.31/9.57 (step @p458 :rule cnf_or_neg :args (@t308 0)) % 9.31/9.57 (step @p459 :rule eq_resolve :premises (@p458 @p457)) % 9.31/9.57 (step @p460 :rule reordering :premises (@p459) :args ((or @t278 @t308))) % 9.31/9.57 (step @p461 :rule bool-double-not-elim :args (@t277)) % 9.31/9.57 (step @p462 :rule nary_cong :premises (@p456 @p461) :args ((or @t308 (not @t307)))) % 9.31/9.57 (step @p463 :rule cnf_or_neg :args (@t308 1)) % 9.31/9.57 (step @p464 :rule eq_resolve :premises (@p463 @p462)) % 9.31/9.57 (step @p465 :rule reordering :premises (@p464) :args ((or @t277 @t308))) % 9.31/9.57 (step @p466 :rule cnf_or_neg :args (@t308 2)) % 9.31/9.57 (step @p467 :rule cnf_or_pos :args (@t311)) % 9.31/9.57 (step @p468 :rule reordering :premises (@p467) :args ((or @t279 @t310 (not @t311)))) % 9.31/9.57 (step @p469 :rule cnf_and_pos :args (@t276 0)) % 9.31/9.57 (step @p470 :rule reordering :premises (@p469) :args ((or @t275 (not @t276)))) % 9.31/9.57 (step @p471 :rule cnf_equiv_pos1 :args (@t310)) % 9.31/9.57 (step @p472 :rule reordering :premises (@p471) :args ((or @t307 @t276 (not @t310)))) % 9.31/9.57 (step @p473 :rule chain_m_resolution :premises (@p472 @p470 @p468 @p466 @p465 @p460 @p454 @p445 @p443 @p194 @p397 @p366 @p355 @p350 @p345 @p339 @p318 @p316 @p188 @p194 @p226 @p221 @p215 @p214 @p212) :args (@t185 (@list true false true false false true true false false true false false false false true true false false false false false true true false) (@list @t276 @t310 @t275 @t277 @t278 @t308 @t273 @t306 @t195 @t281 @t311 @t259 @t262 @t264 @t266 @t254 @t256 @t184 @t195 @t186 @t188 @t190 @t193 @t192))) % 9.31/9.57 (step @p474 :rule cnf_or_neg :args (@t190 2)) % 9.31/9.57 (step @p475 :rule reordering :premises (@p474) :args ((or @t191 @t190))) % 9.31/9.57 (step @p476 :rule chain_m_resolution :premises (@p475 @p473) :args (@t190 @t168 (@list @t185))) % 9.31/9.57 (step @p477 :rule chain_m_resolution :premises (@p215 @p214 @p476) :args ((not @t192) @t312 (@list @t193 @t190))) % 9.31/9.57 (step @p478 :rule cnf_or_neg :args (@t192 1)) % 9.31/9.57 (step @p479 :rule chain_m_resolution :premises (@p478 @p477) :args (@t187 @t198 (@list @t192))) % 9.31/9.57 (step @p480 :rule cnf_equiv_pos2 :args (@t316)) % 9.31/9.57 (step @p481 :rule reordering :premises (@p480) :args ((or @t186 @t317 (not @t316)))) % 9.31/9.57 (step @p482 :rule chain_m_resolution :premises (@p481 @p479 @p206) :args (@t317 @t312 (@list @t186 @t316))) % 9.31/9.57 (step @p483 :rule aci_norm :args ((= @t322 (or @t118 @t320 @t319)))) % 9.31/9.57 (step @p484 :rule cong :premises (@p483) :args (@t323)) % 9.31/9.57 (step @p485 :rule quant-merge-prenex :args ((= (forall @t9 @t325) @t323))) % 9.31/9.57 (step @p486 :rule alpha_equiv :args (@t326 (@list @t318) @t176)) % 9.31/9.57 (step @p487 :rule nary_cong :premises (@p51 @p486) :args (@t327)) % 9.31/9.57 (step @p488 :rule quant-miniscope-or :args ((= @t325 @t327))) % 9.31/9.57 (step @p489 :rule trans :premises (@p488 @p487)) % 9.31/9.57 (step @p490 :rule symm :premises (@p489)) % 9.31/9.57 (step @p491 :rule cong :premises (@p490) :args ((forall @t9 (or @t118 @t328)))) % 9.31/9.57 (step @p492 :rule trans :premises (@p491 @p485)) % 9.31/9.57 (step @p493 :rule trans :premises (@p492 @p484)) % 9.31/9.57 (step @p494 :rule bool-impl-elim :args (@t39 @t328)) % 9.31/9.57 (step @p495 :rule cong :premises (@p494) :args ((forall @t9 (=> @t39 @t328)))) % 9.31/9.57 (step @p496 :rule trans :premises (@p495 @p493)) % 9.31/9.57 (step @p497 :rule bool-impl-elim :args (@t38 @t95)) % 9.31/9.57 (step @p498 :rule cong :premises (@p497) :args (@t96)) % 9.31/9.57 (step @p499 :rule cong :premises (@p103 @p498) :args (@t97)) % 9.31/9.57 (step @p500 :rule cong :premises (@p499) :args (@t98)) % 9.31/9.57 (step @p501 :rule trans :premises (@p500 @p496)) % 9.31/9.57 (step @p502 :rule eq_resolve :premises (@p40 @p501)) % 9.31/9.57 (step @p503 :rule instantiate :premises (@p502) :args (@t169)) % 9.31/9.57 (step @p504 :rule cnf_or_pos :args (@t329)) % 9.31/9.57 (step @p505 :rule reordering :premises (@p504) :args ((or @t196 @t194 @t314 (not @t329)))) % 9.31/9.57 (step @p506 :rule chain_m_resolution :premises (@p505 @p194 @p188 @p503) :args (@t314 @t201 (@list @t195 @t184 @t329))) % 9.31/9.57 (step @p507 :rule cnf_and_neg :args (@t315)) % 9.31/9.57 (step @p508 :rule reordering :premises (@p507) :args ((or (not @t314) @t315 @t330))) % 9.31/9.57 (step @p509 :rule chain_m_resolution :premises (@p508 @p506 @p482) :args (@t330 (@list false true) (@list @t314 @t315))) % 9.31/9.57 (step @p510 :rule cnf_equiv_pos2 :args (@t331)) % 9.31/9.57 (step @p511 :rule reordering :premises (@p510) :args ((or @t313 @t332 (not @t331)))) % 9.31/9.57 (step @p512 :rule chain_m_resolution :premises (@p511 @p509 @p205) :args (@t332 @t312 (@list @t313 @t331))) % 9.31/9.57 (step @p513 :rule refl :args (@t337)) % 9.31/9.57 (step @p514 :rule bool-double-not-elim :args (@t158)) % 9.31/9.57 (step @p515 :rule nary_cong :premises (@p514 @p513) :args ((or (not @t332) @t337))) % 9.31/9.57 (assume-push @p588 @t332) % 9.31/9.57 (step @p517 :rule skolemize :premises (@p588)) % 9.31/9.57 (step-pop @p589 :rule scope :premises (@p517)) % 9.31/9.57 (step @p518 :rule process_scope :premises (@p589) :args (@t337)) % 9.31/9.57 (step @p520 :rule implies_elim :premises (@p518)) % 9.31/9.57 (step @p521 :rule eq_resolve :premises (@p520 @p515)) % 9.31/9.57 (step @p522 :rule chain_m_resolution :premises (@p521 @p512) :args (@t337 @t198 (@list @t158))) % 9.31/9.57 (step @p523 :rule bool-double-not-elim :args (@t334)) % 9.31/9.57 (step @p524 :rule refl :args (@t336)) % 9.31/9.57 (step @p525 :rule nary_cong :premises (@p524 @p523) :args ((or @t336 (not @t335)))) % 9.31/9.57 (step @p526 :rule cnf_or_neg :args (@t336 0)) % 9.31/9.57 (step @p527 :rule eq_resolve :premises (@p526 @p525)) % 9.31/9.57 (step @p528 :rule reordering :premises (@p527) :args ((or @t334 @t336))) % 9.31/9.57 (step @p529 :rule chain_m_resolution :premises (@p528 @p522) :args (@t334 @t198 @t338)) % 9.31/9.57 (step @p530 :rule cnf_or_pos :args (@t340)) % 9.31/9.57 (step @p531 :rule reordering :premises (@p530) :args ((or @t335 @t339 (not @t340)))) % 9.31/9.57 (step @p532 :rule chain_m_resolution :premises (@p531 @p529 @p204) :args (@t339 @t202 (@list @t334 @t340))) % 9.31/9.57 (step @p533 :rule cnf_or_pos :args (@t344)) % 9.31/9.57 (step @p534 :rule reordering :premises (@p533) :args ((or @t196 @t194 @t343 @t342 (not @t344)))) % 9.31/9.57 (step @p535 :rule chain_m_resolution :premises (@p534 @p194 @p188 @p532 @p108) :args (@t342 (@list false false false false) (@list @t195 @t184 @t339 @t344))) % 9.31/9.57 (step @p536 :rule cnf_equiv_pos1 :args (@t342)) % 9.31/9.57 (step @p537 :rule reordering :premises (@p536) :args ((or @t335 @t341 (not @t342)))) % 9.31/9.57 (step @p538 :rule chain_m_resolution :premises (@p537 @p529 @p535) :args (@t341 @t202 (@list @t334 @t342))) % 9.31/9.57 (step @p539 :rule cnf_or_neg :args (@t336 1)) % 9.31/9.57 (step @p540 :rule chain_m_resolution :premises (@p539 @p522) :args ((not @t333) @t198 @t338)) % 9.31/9.57 (step @p541 :rule bool-eq-true :args (@t345)) % 9.31/9.57 (step @p542 :rule eq-symm :args (true @t345)) % 9.31/9.57 (step @p543 :rule trans :premises (@p542 @p541)) % 9.31/9.57 (step @p544 :rule aci_norm :args ((= @t346 @t345))) % 9.31/9.57 (step @p545 :rule eq-refl :args (@t154)) % 9.31/9.57 (step @p546 :rule cong :premises (@p545 @p544) :args (@t347)) % 9.31/9.57 (step @p547 :rule trans :premises (@p546 @p543)) % 9.31/9.57 (step @p548 :rule refl :args (@t26)) % 9.31/9.57 (step @p549 :rule cong :premises (@p548 @p547) :args ((=> @t26 @t347))) % 9.31/9.57 (assume-push @p590 @t26) % 9.31/9.57 (step @p551 :rule instantiate :premises (@p17) :args ((@list @t154 @t154))) % 9.31/9.57 (step-pop @p591 :rule scope :premises (@p551)) % 9.31/9.57 (step @p552 :rule process_scope :premises (@p591) :args (@t347)) % 9.31/9.57 (step @p554 :rule eq_resolve :premises (@p552 @p549)) % 9.31/9.57 (step @p555 :rule implies_elim :premises (@p554)) % 9.31/9.57 (step @p556 :rule chain_m_resolution :premises (@p555 @p17) :args (@t345 @t168 (@list @t26))) % 9.31/9.57 (step @p557 :rule cnf_or_pos :args (@t349)) % 9.31/9.57 (step @p558 :rule reordering :premises (@p557) :args ((or @t194 @t191 @t348 @t333 @t350))) % 9.31/9.57 (step @p559 :rule chain_m_resolution :premises (@p558 @p188 @p473 @p556 @p540) :args (@t350 (@list false false false true) (@list @t184 @t185 @t345 @t333))) % 9.31/9.57 (assume-push @p592 @t341) % 9.31/9.57 (step @p561 :rule instantiate :premises (@p592) :args ((@list @t154))) % 9.31/9.57 (step-pop @p593 :rule scope :premises (@p561)) % 9.31/9.57 (step @p562 :rule process_scope :premises (@p593) :args (@t349)) % 0.36/9.61 (step @p564 :rule implies_elim :premises (@p562)) % 0.36/9.61 (step @p565 false :rule chain_m_resolution :premises (@p564 @p559 @p538) :args (false @t312 (@list @t349 @t341))) % 0.36/9.61 ) % 0.36/9.61 % SZS output end Proof % 0.36/9.61 % cvc5 exiting %------------------------------------------------------------------------------