%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU170+2 : 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 : n022.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 08:50:50 AM UTC 2026 % Result : Theorem 1.34s 1.53s % Output : Proof 1.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SEU170+2 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n022.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:33:24 EDT 2026 % 0.18/0.35 % CPUTime : % 0.34/0.52 %----Proving TF0_NAR, FOF, or CNF % 1.34/1.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.34/1.53 % SZS status Theorem % 1.34/1.53 % SZS output start Proof % 1.34/1.53 ( % 1.34/1.53 (declare-sort $$unsorted 0) % 1.34/1.53 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 1.34/1.53 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 1.34/1.53 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 1.34/1.53 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 1.34/1.53 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 1.34/1.53 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 1.34/1.53 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 1.34/1.53 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 1.34/1.53 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 1.34/1.53 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 1.34/1.53 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 1.34/1.53 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 1.34/1.53 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 1.34/1.53 (declare-const tptp.empty_set $$unsorted) % 1.34/1.53 (declare-const tptp.empty (-> $$unsorted Bool)) % 1.34/1.53 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 1.34/1.53 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 1.34/1.53 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 1.34/1.53 (define @t1 () (@var "A" $$unsorted)) % 1.34/1.53 (define @t2 () (@var "B" $$unsorted)) % 1.34/1.53 (define @t3 () (tptp.in @t2 @t1)) % 1.34/1.53 (define @t4 () (not @t3)) % 1.34/1.53 (define @t5 () (tptp.in @t1 @t2)) % 1.34/1.53 (define @t6 () (@list @t1 @t2)) % 1.34/1.53 (define @t7 () (tptp.proper_subset @t2 @t1)) % 1.34/1.53 (define @t8 () (tptp.proper_subset @t1 @t2)) % 1.34/1.53 (define @t9 () (tptp.unordered_pair @t1 @t2)) % 1.34/1.53 (define @t10 () (tptp.set_union2 @t2 @t1)) % 1.34/1.53 (define @t11 () (tptp.set_union2 @t1 @t2)) % 1.34/1.53 (define @t12 () (tptp.set_intersection2 @t1 @t2)) % 1.34/1.53 (define @t13 () (tptp.subset @t1 @t2)) % 1.34/1.53 (define @t14 () (= @t1 @t2)) % 1.34/1.53 (define @t15 () (@var "C" $$unsorted)) % 1.34/1.53 (define @t16 () (tptp.in @t15 @t2)) % 1.34/1.53 (define @t17 () (@list @t15)) % 1.34/1.53 (define @t18 () (tptp.singleton @t1)) % 1.34/1.53 (define @t19 () (@list @t2)) % 1.34/1.53 (define @t20 () (= @t1 tptp.empty_set)) % 1.34/1.53 (define @t21 () (@list @t1)) % 1.34/1.53 (define @t22 () (tptp.powerset @t1)) % 1.34/1.53 (define @t23 () (tptp.empty @t2)) % 1.34/1.53 (define @t24 () (tptp.element @t2 @t1)) % 1.34/1.53 (define @t25 () (= @t24 @t23)) % 1.34/1.53 (define @t26 () (tptp.empty @t1)) % 1.34/1.53 (define @t27 () (=> @t26 @t25)) % 1.34/1.53 (define @t28 () (not @t26)) % 1.34/1.53 (define @t29 () (=> @t28 (= @t24 @t3))) % 1.34/1.53 (define @t30 () (and @t29 @t27)) % 1.34/1.53 (define @t31 () (forall @t6 @t30)) % 1.34/1.53 (define @t32 () (@var "D" $$unsorted)) % 1.34/1.53 (define @t33 () (tptp.in @t32 @t15)) % 1.34/1.53 (define @t34 () (@list @t32)) % 1.34/1.53 (define @t35 () (@list @t1 @t2 @t15)) % 1.34/1.53 (define @t36 () (tptp.in @t32 @t2)) % 1.34/1.53 (define @t37 () (tptp.in @t32 @t1)) % 1.34/1.53 (define @t38 () (@var "F" $$unsorted)) % 1.34/1.53 (define @t39 () (@var "E" $$unsorted)) % 1.34/1.53 (define @t40 () (tptp.in @t15 @t1)) % 1.34/1.53 (define @t41 () (forall @t17 (=> @t40 @t16))) % 1.34/1.53 (define @t42 () (= @t13 @t41)) % 1.34/1.53 (define @t43 () (forall @t6 @t42)) % 1.34/1.53 (define @t44 () (tptp.set_difference @t1 @t2)) % 1.34/1.53 (define @t45 () (tptp.subset_complement @t1 @t2)) % 1.34/1.53 (define @t46 () (tptp.element @t2 @t22)) % 1.34/1.53 (define @t47 () (=> @t46 (= @t45 @t44))) % 1.34/1.53 (define @t48 () (forall @t6 @t47)) % 1.34/1.53 (define @t49 () (tptp.ordered_pair @t1 @t2)) % 1.34/1.53 (define @t50 () (tptp.disjoint @t1 @t2)) % 1.34/1.53 (define @t51 () (forall @t6 (= @t50 (= @t12 tptp.empty_set)))) % 1.34/1.53 (define @t52 () (not @t14)) % 1.34/1.53 (define @t53 () (tptp.disjoint @t18 @t2)) % 1.34/1.53 (define @t54 () (= @t44 tptp.empty_set)) % 1.34/1.53 (define @t55 () (forall @t6 (= @t54 @t13))) % 1.34/1.53 (define @t56 () (tptp.singleton @t2)) % 1.34/1.53 (define @t57 () (tptp.subset @t1 (tptp.union @t2))) % 1.34/1.53 (define @t58 () (forall @t6 (=> @t5 @t57))) % 1.34/1.53 (define @t59 () (tptp.in @t1 @t15)) % 1.34/1.53 (define @t60 () (@list @t1 @t2 @t15 @t32)) % 1.34/1.53 (define @t61 () (= @t1 @t15)) % 1.34/1.53 (define @t62 () (tptp.cartesian_product2 @t1 @t15)) % 1.34/1.53 (define @t63 () (not @t16)) % 1.34/1.53 (define @t64 () (tptp.subset @t15 @t2)) % 1.34/1.53 (define @t65 () (forall @t17 (not (and @t64 (not (tptp.are_equipotent @t15 @t2)) @t63)))) % 1.34/1.53 (define @t66 () (forall (@list @t15 @t32) (=> (and @t16 (tptp.subset @t32 @t15)) @t36))) % 1.34/1.53 (define @t67 () (tptp.set_intersection2 @t2 @t15)) % 1.34/1.53 (define @t68 () (tptp.subset @t1 @t15)) % 1.34/1.53 (define @t69 () (=> @t13 (= @t12 @t1))) % 1.34/1.53 (define @t70 () (forall @t6 @t69)) % 1.34/1.53 (define @t71 () (tptp.subset (tptp.set_difference @t1 @t15) (tptp.set_difference @t2 @t15))) % 1.34/1.53 (define @t72 () (forall @t35 (=> @t13 @t71))) % 1.34/1.53 (define @t73 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 1.34/1.53 (define @t74 () (and @t40 @t16)) % 1.34/1.53 (define @t75 () (exists @t17 @t74)) % 1.34/1.53 (define @t76 () (and @t75 @t50)) % 1.34/1.53 (define @t77 () (not @t76)) % 1.34/1.53 (define @t78 () (forall @t17 (not @t74))) % 1.34/1.53 (define @t79 () (not @t50)) % 1.34/1.53 (define @t80 () (and @t79 @t78)) % 1.34/1.53 (define @t81 () (not @t80)) % 1.34/1.53 (define @t82 () (and @t81 @t77)) % 1.34/1.53 (define @t83 () (forall @t6 @t82)) % 1.34/1.53 (define @t84 () (tptp.set_difference @t11 @t2)) % 1.34/1.53 (define @t85 () (forall @t6 (= @t84 @t44))) % 1.34/1.53 (define @t86 () (tptp.disjoint @t2 @t15)) % 1.34/1.53 (define @t87 () (= @t86 (tptp.subset @t2 (tptp.subset_complement @t1 @t15)))) % 1.34/1.53 (define @t88 () (tptp.element @t15 @t22)) % 1.34/1.53 (define @t89 () (forall @t17 (=> @t88 @t87))) % 1.34/1.53 (define @t90 () (=> @t46 @t89)) % 1.34/1.53 (define @t91 () (forall @t6 @t90)) % 1.34/1.53 (define @t92 () (not @t91)) % 1.34/1.53 (define @t93 () (= @t2 @t73)) % 1.34/1.53 (define @t94 () (forall @t6 (=> @t13 @t93))) % 1.34/1.53 (define @t95 () (tptp.set_difference @t1 @t44)) % 1.34/1.53 (define @t96 () (forall @t6 (= @t95 @t12))) % 1.34/1.53 (define @t97 () (tptp.in @t15 @t12)) % 1.34/1.53 (define @t98 () (= @t50 (= @t44 @t1))) % 1.34/1.53 (define @t99 () (forall @t6 @t98)) % 1.34/1.53 (define @t100 () (= @t18 (tptp.unordered_pair @t2 @t15))) % 1.34/1.53 (define @t101 () (tptp.union @t22)) % 1.34/1.53 (define @t102 () (forall @t21 (= @t101 @t1))) % 1.34/1.53 (define @t103 () (= @t44 @t45)) % 1.34/1.53 (define @t104 () (@var "BOUND_VARIABLE_8253" $$unsorted)) % 1.34/1.53 (define @t105 () (= (tptp.disjoint @t2 @t104) (tptp.subset @t2 (tptp.subset_complement @t1 @t104)))) % 1.34/1.53 (define @t106 () (not (tptp.element @t104 @t22))) % 1.34/1.53 (define @t107 () (not @t46)) % 1.34/1.53 (define @t108 () (or @t107 @t106 @t105)) % 1.34/1.53 (define @t109 () (@list @t1 @t2 @t104)) % 1.34/1.53 (define @t110 () (forall @t109 @t108)) % 1.34/1.53 (define @t111 () (@quantifiers_skolemize @t110 2)) % 1.34/1.53 (define @t112 () (@quantifiers_skolemize @t110 0)) % 1.34/1.53 (define @t113 () (tptp.set_difference @t112 @t111)) % 1.34/1.53 (define @t114 () (tptp.subset_complement @t112 @t111)) % 1.34/1.53 (define @t115 () (tptp.powerset @t112)) % 1.34/1.53 (define @t116 () (tptp.element @t111 @t115)) % 1.34/1.53 (define @t117 () (not @t116)) % 1.34/1.53 (define @t118 () (or @t117 (= @t113 @t114))) % 1.34/1.53 (define @t119 () (forall @t6 (or @t107 @t103))) % 1.34/1.53 (define @t120 () (@list @t112 @t111)) % 1.34/1.53 (define @t121 () (= @t114 @t113)) % 1.34/1.53 (define @t122 () (or @t117 @t121)) % 1.34/1.53 (define @t123 () (@list false)) % 1.34/1.53 (define @t124 () (or @t106 @t105)) % 1.34/1.53 (define @t125 () (or @t107 @t124)) % 1.34/1.53 (define @t126 () (forall @t109 @t125)) % 1.34/1.53 (define @t127 () (@list @t104)) % 1.34/1.53 (define @t128 () (forall @t127 @t125)) % 1.34/1.53 (define @t129 () (forall @t127 @t124)) % 1.34/1.53 (define @t130 () (@list @t15)) % 1.34/1.53 (define @t131 () (or @t107 @t129)) % 1.34/1.53 (define @t132 () (forall @t17 (or (not @t88) @t87))) % 1.34/1.53 (define @t133 () (@quantifiers_skolemize @t110 1)) % 1.34/1.53 (define @t134 () (tptp.subset @t133 @t114)) % 1.34/1.53 (define @t135 () (tptp.disjoint @t133 @t111)) % 1.34/1.53 (define @t136 () (= @t135 @t134)) % 1.34/1.53 (define @t137 () (tptp.element @t133 @t115)) % 1.34/1.53 (define @t138 () (not @t137)) % 1.34/1.53 (define @t139 () (or @t138 @t117 @t136)) % 1.34/1.53 (define @t140 () (@list true)) % 1.34/1.53 (define @t141 () (@list @t139)) % 1.34/1.53 (define @t142 () (@list false false)) % 1.34/1.53 (define @t143 () (@list @t133 @t111)) % 1.34/1.53 (define @t144 () (= @t1 @t12)) % 1.34/1.53 (define @t145 () (tptp.set_difference @t133 @t111)) % 1.34/1.53 (define @t146 () (@list @t145 @t133)) % 1.34/1.53 (define @t147 () (tptp.set_intersection2 @t145 @t133)) % 1.34/1.53 (define @t148 () (= @t145 @t147)) % 1.34/1.53 (define @t149 () (tptp.subset @t145 @t133)) % 1.34/1.53 (define @t150 () (not @t149)) % 1.34/1.53 (define @t151 () (or @t150 @t148)) % 1.34/1.53 (define @t152 () (tptp.set_intersection2 @t133 @t111)) % 1.34/1.53 (define @t153 () (tptp.set_difference @t133 @t152)) % 1.34/1.53 (define @t154 () (tptp.set_union2 @t152 @t153)) % 1.34/1.53 (define @t155 () (= @t133 @t154)) % 1.34/1.53 (define @t156 () (tptp.subset @t152 @t133)) % 1.34/1.53 (define @t157 () (not @t156)) % 1.34/1.53 (define @t158 () (or @t157 @t155)) % 1.34/1.53 (define @t159 () (@list @t153 @t153)) % 1.34/1.53 (define @t160 () (tptp.subset @t153 @t153)) % 1.34/1.53 (define @t161 () (tptp.set_difference @t153 @t153)) % 1.34/1.53 (define @t162 () (= tptp.empty_set @t161)) % 1.34/1.53 (define @t163 () (= @t160 @t162)) % 1.34/1.53 (define @t164 () (not @t160)) % 1.34/1.53 (define @t165 () (or @t28 @t25)) % 1.34/1.53 (define @t166 () (forall @t6 @t165)) % 1.34/1.53 (define @t167 () (@list @t1 @t2)) % 1.34/1.53 (define @t168 () (= @t3 @t24)) % 1.34/1.53 (define @t169 () (or @t26 @t168)) % 1.34/1.53 (define @t170 () (forall @t6 @t169)) % 1.34/1.53 (define @t171 () (@var "BOUND_VARIABLE_7901" $$unsorted)) % 1.34/1.53 (define @t172 () (@var "BOUND_VARIABLE_7899" $$unsorted)) % 1.34/1.53 (define @t173 () (and @t170 @t166)) % 1.34/1.53 (define @t174 () (and (=> @t28 @t168) @t27)) % 1.34/1.53 (define @t175 () (tptp.in @t133 @t115)) % 1.34/1.53 (define @t176 () (tptp.empty @t115)) % 1.34/1.53 (define @t177 () (or @t176 (= @t175 @t137))) % 1.34/1.53 (define @t178 () (forall (@list @t172 @t171) (or (tptp.empty @t172) (= (tptp.in @t171 @t172) (tptp.element @t171 @t172))))) % 1.34/1.53 (define @t179 () (= @t137 @t175)) % 1.34/1.53 (define @t180 () (or @t176 @t179)) % 1.34/1.53 (define @t181 () (@list @t178)) % 1.34/1.53 (define @t182 () (@list @t112)) % 1.34/1.53 (define @t183 () (@list true false)) % 1.34/1.53 (define @t184 () (tptp.union @t115)) % 1.34/1.53 (define @t185 () (tptp.subset @t133 @t184)) % 1.34/1.53 (define @t186 () (not @t175)) % 1.34/1.53 (define @t187 () (or @t186 @t185)) % 1.34/1.53 (define @t188 () (tptp.subset @t133 @t112)) % 1.34/1.53 (define @t189 () (tptp.subset @t145 @t113)) % 1.34/1.53 (define @t190 () (not @t188)) % 1.34/1.53 (define @t191 () (or @t190 @t189)) % 1.34/1.53 (define @t192 () (tptp.set_union2 @t153 @t161)) % 1.34/1.53 (define @t193 () (= @t153 @t192)) % 1.34/1.53 (define @t194 () (or @t164 @t193)) % 1.34/1.53 (define @t195 () (@var "BOUND_VARIABLE_8211" $$unsorted)) % 1.34/1.53 (define @t196 () (@var "BOUND_VARIABLE_8225" $$unsorted)) % 1.34/1.53 (define @t197 () (not (tptp.in @t196 @t195))) % 1.34/1.53 (define @t198 () (@var "BOUND_VARIABLE_8209" $$unsorted)) % 1.34/1.53 (define @t199 () (not (tptp.in @t196 @t198))) % 1.34/1.53 (define @t200 () (not (tptp.disjoint @t198 @t195))) % 1.34/1.53 (define @t201 () (or @t199 @t197)) % 1.34/1.53 (define @t202 () (or @t201 @t200)) % 1.34/1.53 (define @t203 () (forall (@list @t198 @t195 @t196) @t202)) % 1.34/1.53 (define @t204 () (@list @t196)) % 1.34/1.53 (define @t205 () (forall @t204 @t202)) % 1.34/1.53 (define @t206 () (@list @t198 @t195)) % 1.34/1.53 (define @t207 () (forall @t204 @t201)) % 1.34/1.53 (define @t208 () (or @t207 @t200)) % 1.34/1.53 (define @t209 () (forall @t206 (or (forall @t17 (or (not (tptp.in @t15 @t198)) (not (tptp.in @t15 @t195)))) @t200))) % 1.34/1.53 (define @t210 () (@var "BOUND_VARIABLE_8196" $$unsorted)) % 1.34/1.53 (define @t211 () (@var "BOUND_VARIABLE_8194" $$unsorted)) % 1.34/1.53 (define @t212 () (forall (@list @t211 @t210) (or (tptp.disjoint @t211 @t210) (not (forall @t17 (or (not (tptp.in @t15 @t211)) (not (tptp.in @t15 @t210)))))))) % 1.34/1.53 (define @t213 () (forall @t17 (or (not @t40) @t63))) % 1.34/1.53 (define @t214 () (or @t213 @t79)) % 1.34/1.53 (define @t215 () (forall @t6 @t214)) % 1.34/1.53 (define @t216 () (not @t213)) % 1.34/1.53 (define @t217 () (or @t50 @t216)) % 1.34/1.53 (define @t218 () (forall @t6 @t217)) % 1.34/1.53 (define @t219 () (and @t218 @t215)) % 1.34/1.53 (define @t220 () (and (not (and @t79 @t213)) (not (and @t216 @t50)))) % 1.34/1.53 (define @t221 () (not @t78)) % 1.34/1.53 (define @t222 () (not (tptp.in @t15 @t133))) % 1.34/1.53 (define @t223 () (forall @t17 (or @t222 (not (tptp.in @t15 @t111))))) % 1.34/1.53 (define @t224 () (not @t223)) % 1.34/1.53 (define @t225 () (or @t135 @t224)) % 1.34/1.53 (define @t226 () (forall @t17 (or @t222 (tptp.in @t15 @t114)))) % 1.34/1.53 (define @t227 () (= @t134 @t226)) % 1.34/1.53 (define @t228 () (not @t134)) % 1.34/1.53 (define @t229 () (@quantifiers_skolemize @t223 0)) % 1.34/1.53 (define @t230 () (tptp.in @t229 @t111)) % 1.34/1.53 (define @t231 () (not @t230)) % 1.34/1.53 (define @t232 () (tptp.in @t229 @t133)) % 1.34/1.53 (define @t233 () (not @t232)) % 1.34/1.53 (define @t234 () (or @t233 @t231)) % 1.34/1.53 (define @t235 () (not @t234)) % 1.34/1.53 (define @t236 () (tptp.in @t229 @t114)) % 1.34/1.53 (define @t237 () (or @t233 @t236)) % 1.34/1.53 (define @t238 () (@list @t111 @t113)) % 1.34/1.53 (define @t239 () (@list @t111 @t112)) % 1.34/1.53 (define @t240 () (tptp.in @t111 @t115)) % 1.34/1.53 (define @t241 () (or @t176 (= @t240 @t116))) % 1.34/1.53 (define @t242 () (= @t116 @t240)) % 1.34/1.53 (define @t243 () (or @t176 @t242)) % 1.34/1.53 (define @t244 () (tptp.subset @t111 @t184)) % 1.34/1.53 (define @t245 () (not @t240)) % 1.34/1.53 (define @t246 () (or @t245 @t244)) % 1.34/1.53 (define @t247 () (tptp.subset @t111 @t112)) % 1.34/1.53 (define @t248 () (= @t112 (tptp.set_union2 @t111 @t113))) % 1.34/1.53 (define @t249 () (not @t247)) % 1.34/1.53 (define @t250 () (or @t249 @t248)) % 1.34/1.53 (define @t251 () (= @t111 (tptp.set_intersection2 @t111 @t112))) % 1.34/1.53 (define @t252 () (or @t249 @t251)) % 1.34/1.53 (define @t253 () (= @t111 (tptp.set_difference @t111 @t113))) % 1.34/1.53 (define @t254 () (tptp.disjoint @t111 @t113)) % 1.34/1.53 (define @t255 () (= @t254 @t253)) % 1.34/1.53 (define @t256 () (tptp.in @t229 @t113)) % 1.34/1.53 (define @t257 () (not @t256)) % 1.34/1.53 (define @t258 () (not @t254)) % 1.34/1.53 (define @t259 () (or @t258 @t231 @t257)) % 1.34/1.53 (define @t260 () (and @t121 @t236)) % 1.34/1.53 (define @t261 () (= @t135 (= @t152 tptp.empty_set))) % 1.34/1.53 (define @t262 () (= tptp.empty_set @t152)) % 1.34/1.53 (define @t263 () (= @t135 @t262)) % 1.34/1.53 (define @t264 () (not @t193)) % 1.34/1.53 (define @t265 () (not @t189)) % 1.34/1.53 (define @t266 () (not @t162)) % 1.34/1.53 (define @t267 () (tptp.set_difference @t133 @t145)) % 1.34/1.53 (define @t268 () (tptp.set_difference @t133 @t267)) % 1.34/1.53 (define @t269 () (tptp.set_intersection2 @t133 @t145)) % 1.34/1.53 (define @t270 () (= @t269 @t268)) % 1.34/1.53 (define @t271 () (not @t270)) % 1.34/1.53 (define @t272 () (= @t147 @t269)) % 1.34/1.53 (define @t273 () (not @t272)) % 1.34/1.53 (define @t274 () (= @t154 (tptp.set_union2 @t153 @t152))) % 1.34/1.53 (define @t275 () (not @t274)) % 1.34/1.53 (define @t276 () (not @t155)) % 1.34/1.53 (define @t277 () (not @t148)) % 1.34/1.53 (define @t278 () (= @t152 @t267)) % 1.34/1.53 (define @t279 () (not @t278)) % 1.34/1.53 (define @t280 () (not @t262)) % 1.34/1.53 (define @t281 () (not @t121)) % 1.34/1.53 (define @t282 () (and @t228 @t155 @t274 @t278 @t270 @t272 @t148 @t262 @t162 @t193 @t121 @t189)) % 1.34/1.53 (assume @p1 (forall @t6 (=> @t5 @t4))) % 1.34/1.53 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 1.34/1.53 (assume @p3 (forall @t6 (= @t9 (tptp.unordered_pair @t2 @t1)))) % 1.34/1.53 (assume @p4 (forall @t6 (= @t11 @t10))) % 1.34/1.53 (assume @p5 (forall @t6 (= @t12 (tptp.set_intersection2 @t2 @t1)))) % 1.34/1.53 (assume @p6 (forall @t6 (= @t14 (and @t13 (tptp.subset @t2 @t1))))) % 1.34/1.53 (assume @p7 (forall @t6 (= (= @t2 @t18) (forall @t17 (= @t16 (= @t15 @t1)))))) % 1.34/1.53 (assume @p8 (forall @t21 (= @t20 (forall @t19 @t4)))) % 1.34/1.53 (assume @p9 (forall @t6 (= (= @t2 @t22) (forall @t17 (= @t16 (tptp.subset @t15 @t1)))))) % 1.34/1.53 (assume @p10 @t31) % 1.34/1.53 (assume @p11 (forall @t35 (= (= @t15 @t9) (forall @t34 (= @t33 (or (= @t32 @t1) (= @t32 @t2))))))) % 1.34/1.53 (assume @p12 (forall @t35 (= (= @t15 @t11) (forall @t34 (= @t33 (or @t37 @t36)))))) % 1.34/1.53 (assume @p13 (forall @t35 (= (= @t15 (tptp.cartesian_product2 @t1 @t2)) (forall @t34 (= @t33 (exists (@list @t39 @t38) (and (tptp.in @t39 @t1) (tptp.in @t38 @t2) (= @t32 (tptp.ordered_pair @t39 @t38))))))))) % 1.34/1.53 (assume @p14 @t43) % 1.34/1.53 (assume @p15 (forall @t35 (= (= @t15 @t12) (forall @t34 (= @t33 (and @t37 @t36)))))) % 1.34/1.53 (assume @p16 (forall @t6 (= (= @t2 (tptp.union @t1)) (forall @t17 (= @t16 (exists @t34 (and (tptp.in @t15 @t32) @t37))))))) % 1.34/1.53 (assume @p17 (forall @t35 (= (= @t15 @t44) (forall @t34 (= @t33 (and @t37 (not @t36))))))) % 1.34/1.53 (assume @p18 @t48) % 1.34/1.53 (assume @p19 (forall @t6 (= @t49 (tptp.unordered_pair @t9 @t18)))) % 1.34/1.53 (assume @p20 @t51) % 1.34/1.53 (assume @p21 (forall @t6 (= @t8 (and @t13 @t52)))) % 1.34/1.53 (assume @p22 true) % 1.34/1.53 (assume @p23 (forall @t6 (=> @t46 (tptp.element @t45 @t22)))) % 1.34/1.53 (assume @p24 (forall @t21 (exists @t19 @t24))) % 1.34/1.53 (assume @p25 (forall @t21 (not (tptp.empty @t22)))) % 1.34/1.53 (assume @p26 (tptp.empty tptp.empty_set)) % 1.34/1.53 (assume @p27 (forall @t6 (not (tptp.empty @t49)))) % 1.34/1.53 (assume @p28 (forall @t6 (=> @t28 (not (tptp.empty @t11))))) % 1.34/1.53 (assume @p29 (forall @t6 (=> @t28 (not (tptp.empty @t10))))) % 1.34/1.53 (assume @p30 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 1.34/1.53 (assume @p31 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 1.34/1.53 (assume @p32 (forall @t6 (=> @t46 (= (tptp.subset_complement @t1 @t45) @t2)))) % 1.34/1.53 (assume @p33 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 1.34/1.53 (assume @p34 (forall @t21 (not (= @t18 tptp.empty_set)))) % 1.34/1.53 (assume @p35 (forall @t6 (=> @t5 (= (tptp.set_union2 @t18 @t2) @t2)))) % 1.34/1.53 (assume @p36 (forall @t6 (not (and @t53 @t5)))) % 1.34/1.53 (assume @p37 (forall @t6 (=> (not @t5) @t53))) % 1.34/1.53 (assume @p38 (forall @t6 (= (tptp.subset @t18 @t2) @t5))) % 1.34/1.53 (assume @p39 @t55) % 1.34/1.53 (assume @p40 (forall @t6 (=> @t46 (forall @t17 (=> @t16 @t40))))) % 1.34/1.53 (assume @p41 (forall @t35 (=> @t13 (or @t40 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t15))))))) % 1.34/1.53 (assume @p42 (forall @t6 (= (tptp.subset @t1 @t56) (or @t20 (= @t1 @t56))))) % 1.34/1.53 (assume @p43 @t58) % 1.34/1.53 (assume @p44 (forall @t60 (= (tptp.in @t49 (tptp.cartesian_product2 @t15 @t32)) (and @t59 (tptp.in @t2 @t32))))) % 1.34/1.53 (assume @p45 (forall @t21 (=> @t28 (exists @t19 (and @t46 (not @t23)))))) % 1.34/1.53 (assume @p46 (exists @t21 @t26)) % 1.34/1.53 (assume @p47 (forall @t21 (exists @t19 (and @t46 @t23)))) % 1.34/1.53 (assume @p48 (exists @t21 @t28)) % 1.34/1.53 (assume @p49 (forall @t6 (tptp.subset @t1 @t1))) % 1.34/1.53 (assume @p50 (forall @t6 (=> @t50 (tptp.disjoint @t2 @t1)))) % 1.34/1.53 (assume @p51 (forall @t60 (not (and (= @t9 (tptp.unordered_pair @t15 @t32)) (not @t61) (not (= @t1 @t32)))))) % 1.34/1.53 (assume @p52 (forall @t35 (=> @t13 (and (tptp.subset @t62 (tptp.cartesian_product2 @t2 @t15)) (tptp.subset (tptp.cartesian_product2 @t15 @t1) (tptp.cartesian_product2 @t15 @t2)))))) % 1.34/1.53 (assume @p53 (forall @t60 (=> (and @t13 (tptp.subset @t15 @t32)) (tptp.subset @t62 (tptp.cartesian_product2 @t2 @t32))))) % 1.34/1.53 (assume @p54 (forall @t6 (=> @t13 (= @t11 @t2)))) % 1.34/1.53 (assume @p55 (forall @t21 (exists @t19 (and @t5 @t66 (forall @t17 (=> @t16 (tptp.in (tptp.powerset @t15) @t2))) @t65)))) % 1.34/1.53 (assume @p56 (forall @t6 (tptp.subset @t12 @t1))) % 1.34/1.53 (assume @p57 (forall @t35 (=> (and @t13 @t68) (tptp.subset @t1 @t67)))) % 1.34/1.53 (assume @p58 (forall @t21 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 1.34/1.53 (assume @p59 (forall @t35 (=> (and @t13 (tptp.subset @t2 @t15)) @t68))) % 1.34/1.53 (assume @p60 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 1.34/1.53 (assume @p61 (forall @t35 (=> @t13 (tptp.subset (tptp.set_intersection2 @t1 @t15) @t67)))) % 1.34/1.53 (assume @p62 @t70) % 1.34/1.53 (assume @p63 (forall @t21 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 1.34/1.53 (assume @p64 (forall @t6 (=> (forall @t17 (= @t40 @t16)) @t14))) % 1.34/1.53 (assume @p65 (forall @t21 (tptp.subset tptp.empty_set @t1))) % 1.34/1.53 (assume @p66 @t72) % 1.34/1.53 (assume @p67 (forall @t60 (=> (= @t49 (tptp.ordered_pair @t15 @t32)) (and @t61 (= @t2 @t32))))) % 1.34/1.53 (assume @p68 (forall @t6 (tptp.subset @t44 @t1))) % 1.34/1.53 (assume @p69 (forall @t35 (= (tptp.subset @t9 @t15) (and @t59 (tptp.in @t2 @t15))))) % 1.34/1.53 (assume @p70 (forall @t6 (= @t73 @t11))) % 1.34/1.53 (assume @p71 (forall @t21 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 1.34/1.53 (assume @p72 @t83) % 1.34/1.53 (assume @p73 (forall @t21 (=> (tptp.subset @t1 tptp.empty_set) @t20))) % 1.34/1.53 (assume @p74 @t85) % 1.34/1.53 (assume @p75 @t92) % 1.34/1.53 (assume @p76 @t94) % 1.34/1.53 (assume @p77 @t96) % 1.34/1.53 (assume @p78 (forall @t21 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 1.34/1.53 (assume @p79 (forall @t6 (and (not (and @t79 (forall @t17 (not @t97)))) (not (and (exists @t17 @t97) @t50))))) % 1.34/1.53 (assume @p80 (forall @t6 (not (and @t13 @t7)))) % 1.34/1.53 (assume @p81 (forall @t35 (=> (and @t13 @t86) (tptp.disjoint @t1 @t15)))) % 1.34/1.53 (assume @p82 (forall @t6 (= (= (tptp.set_difference @t1 @t56) @t1) @t4))) % 1.34/1.53 (assume @p83 (forall @t21 (= (tptp.unordered_pair @t1 @t1) @t18))) % 1.34/1.53 (assume @p84 (forall @t21 (=> @t26 @t20))) % 1.34/1.53 (assume @p85 (forall @t6 (=> (tptp.subset @t18 @t56) @t14))) % 1.34/1.53 (assume @p86 (forall @t6 (not (and @t5 @t23)))) % 1.34/1.53 (assume @p87 (forall @t6 (tptp.subset @t1 @t11))) % 1.34/1.53 (assume @p88 @t99) % 1.34/1.53 (assume @p89 (forall @t6 (not (and @t26 @t52 @t23)))) % 1.34/1.53 (assume @p90 (forall @t35 (=> (and @t13 @t64) (tptp.subset (tptp.set_union2 @t1 @t15) @t2)))) % 1.34/1.53 (assume @p91 (forall @t35 (=> @t100 @t14))) % 1.34/1.53 (assume @p92 @t102) % 1.34/1.53 (assume @p93 (forall @t21 (exists @t19 (and @t5 @t66 (forall @t17 (not (and @t16 (forall @t34 (not (and @t36 (forall (@list @t39) (=> (tptp.subset @t39 @t15) (tptp.in @t39 @t32))))))))) @t65)))) % 1.34/1.53 (assume @p94 (forall @t35 (=> @t100 (= @t2 @t15)))) % 1.34/1.53 (step @p95 :rule bool-impl-elim :args (@t46 @t103)) % 1.34/1.53 (step @p96 :rule cong :premises (@p95) :args ((forall @t6 (=> @t46 @t103)))) % 1.34/1.53 (step @p97 :rule eq-symm :args (@t45 @t44)) % 1.34/1.53 (step @p98 :rule refl :args (@t46)) % 1.34/1.53 (step @p99 :rule cong :premises (@p98 @p97) :args (@t47)) % 1.34/1.53 (step @p100 :rule cong :premises (@p99) :args (@t48)) % 1.34/1.53 (step @p101 :rule trans :premises (@p100 @p96)) % 1.34/1.53 (step @p102 :rule eq_resolve :premises (@p18 @p101)) % 1.34/1.53 (step @p103 :rule eq-symm :args (@t113 @t114)) % 1.34/1.53 (step @p104 :rule refl :args (@t117)) % 1.34/1.53 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t118)) % 1.34/1.53 (step @p106 :rule refl :args (@t119)) % 1.34/1.53 (step @p107 :rule cong :premises (@p106 @p105) :args ((=> @t119 @t118))) % 1.34/1.53 (assume-push @p546 @t119) % 1.34/1.53 (step @p109 :rule instantiate :premises (@p102) :args (@t120)) % 1.34/1.53 (step-pop @p547 :rule scope :premises (@p109)) % 1.34/1.53 (step @p110 :rule process_scope :premises (@p547) :args (@t118)) % 1.34/1.53 (step @p112 :rule eq_resolve :premises (@p110 @p107)) % 1.34/1.53 (step @p113 :rule implies_elim :premises (@p112)) % 1.34/1.53 (step @p114 :rule chain_m_resolution :premises (@p113 @p102) :args (@t122 @t123 (@list @t119))) % 1.34/1.53 (step @p115 :rule aci_norm :args ((= @t125 @t108))) % 1.34/1.53 (step @p116 :rule cong :premises (@p115) :args (@t126)) % 1.34/1.53 (step @p117 :rule quant-merge-prenex :args ((= (forall @t6 @t128) @t126))) % 1.34/1.53 (step @p118 :rule alpha_equiv :args (@t129 (@list @t104) @t130)) % 1.34/1.53 (step @p119 :rule refl :args (@t107)) % 1.34/1.53 (step @p120 :rule nary_cong :premises (@p119 @p118) :args (@t131)) % 1.34/1.53 (step @p121 :rule quant-miniscope-or :args ((= @t128 @t131))) % 1.34/1.53 (step @p122 :rule trans :premises (@p121 @p120)) % 1.34/1.53 (step @p123 :rule symm :premises (@p122)) % 1.34/1.53 (step @p124 :rule cong :premises (@p123) :args ((forall @t6 (or @t107 @t132)))) % 1.34/1.53 (step @p125 :rule trans :premises (@p124 @p117)) % 1.34/1.53 (step @p126 :rule trans :premises (@p125 @p116)) % 1.34/1.53 (step @p127 :rule bool-impl-elim :args (@t46 @t132)) % 1.34/1.53 (step @p128 :rule cong :premises (@p127) :args ((forall @t6 (=> @t46 @t132)))) % 1.34/1.53 (step @p129 :rule trans :premises (@p128 @p126)) % 1.34/1.53 (step @p130 :rule bool-impl-elim :args (@t88 @t87)) % 1.34/1.53 (step @p131 :rule cong :premises (@p130) :args (@t89)) % 1.34/1.53 (step @p132 :rule cong :premises (@p98 @p131) :args (@t90)) % 1.34/1.53 (step @p133 :rule cong :premises (@p132) :args (@t91)) % 1.34/1.53 (step @p134 :rule trans :premises (@p133 @p129)) % 1.34/1.53 (step @p135 :rule cong :premises (@p134) :args (@t92)) % 1.34/1.53 (step @p136 :rule eq_resolve :premises (@p75 @p135)) % 1.34/1.53 (step @p137 :rule skolemize :premises (@p136)) % 1.34/1.53 (step @p138 :rule bool-double-not-elim :args (@t116)) % 1.34/1.53 (step @p139 :rule refl :args (@t139)) % 1.34/1.53 (step @p140 :rule nary_cong :premises (@p139 @p138) :args ((or @t139 (not @t117)))) % 1.34/1.53 (step @p141 :rule cnf_or_neg :args (@t139 1)) % 1.34/1.53 (step @p142 :rule eq_resolve :premises (@p141 @p140)) % 1.34/1.53 (step @p143 :rule reordering :premises (@p142) :args ((or @t116 @t139))) % 1.34/1.53 (step @p144 :rule chain_m_resolution :premises (@p143 @p137) :args (@t116 @t140 @t141)) % 1.34/1.53 (step @p145 :rule cnf_or_pos :args (@t122)) % 1.34/1.53 (step @p146 :rule reordering :premises (@p145) :args ((or @t117 @t121 (not @t122)))) % 1.34/1.53 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p114) :args (@t121 @t142 (@list @t116 @t122))) % 1.34/1.53 (step @p148 :rule eq-symm :args (@t95 @t12)) % 1.34/1.53 (step @p149 :rule cong :premises (@p148) :args (@t96)) % 1.34/1.53 (step @p150 :rule eq_resolve :premises (@p77 @p149)) % 1.34/1.53 (step @p151 :rule instantiate :premises (@p150) :args (@t143)) % 1.34/1.53 (step @p152 :rule bool-impl-elim :args (@t13 @t144)) % 1.34/1.53 (step @p153 :rule cong :premises (@p152) :args ((forall @t6 (=> @t13 @t144)))) % 1.34/1.53 (step @p154 :rule eq-symm :args (@t12 @t1)) % 1.34/1.53 (step @p155 :rule refl :args (@t13)) % 1.34/1.53 (step @p156 :rule cong :premises (@p155 @p154) :args (@t69)) % 1.34/1.53 (step @p157 :rule cong :premises (@p156) :args (@t70)) % 1.34/1.53 (step @p158 :rule trans :premises (@p157 @p153)) % 1.34/1.53 (step @p159 :rule 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instantiate :premises (@p150) :args (@t120)) % 1.34/1.53 (step @p406 :rule instantiate :premises (@p5) :args (@t120)) % 1.34/1.53 (step @p407 :rule symm :premises (@p406)) % 1.34/1.53 (step @p408 :rule instantiate :premises (@p159) :args (@t239)) % 1.34/1.53 (step @p409 :rule cnf_or_pos :args (@t252)) % 1.34/1.53 (step @p410 :rule reordering :premises (@p409) :args ((or @t249 @t251 (not @t252)))) % 1.34/1.53 (step @p411 :rule chain_m_resolution :premises (@p410 @p400 @p408) :args (@t251 @t142 (@list @t247 @t252))) % 1.34/1.53 (step @p412 :rule trans :premises (@p411 @p407 @p405 @p404 @p373)) % 1.34/1.53 (step @p413 :rule cnf_equiv_pos2 :args (@t255)) % 1.34/1.53 (step @p414 :rule reordering :premises (@p413) :args ((or @t254 (not @t253) (not @t255)))) % 1.34/1.53 (step @p415 :rule chain_m_resolution :premises (@p414 @p412 @p368) :args (@t254 @t142 (@list @t253 @t255))) % 1.34/1.53 (step @p416 :rule and_elim :premises (@p324) :args (1)) % 1.34/1.53 (step @p417 :rule instantiate :premises (@p416) :args ((@list @t111 @t113 @t229))) % 1.34/1.53 (step @p418 :rule cnf_or_pos :args (@t259)) % 1.34/1.53 (step @p419 :rule reordering :premises (@p418) :args ((or @t231 @t258 @t257 (not @t259)))) % 1.34/1.53 (assume-push @p556 @t121) % 1.34/1.53 (assume-push @p557 @t236) % 1.34/1.53 (assume-push @p558 @t236) % 1.34/1.53 (assume-push @p559 @t121) % 1.34/1.53 (step @p424 :rule true_intro :premises (@p557)) % 1.34/1.53 (step @p425 :rule symm :premises (@p147)) % 1.34/1.53 (step @p426 :rule refl :args (@t229)) % 1.34/1.53 (step @p427 :rule cong :premises (@p426 @p425) :args (@t256)) % 1.34/1.53 (step @p428 :rule trans :premises (@p427 @p424)) % 1.34/1.53 (step @p429 :rule true_elim :premises (@p428)) % 1.34/1.53 (step-pop @p560 :rule scope :premises (@p429)) % 1.34/1.53 (step-pop @p561 :rule scope :premises (@p560)) % 1.34/1.53 (step @p430 :rule process_scope :premises (@p561) :args (@t256)) % 1.34/1.53 (step @p433 :rule and_intro :premises (@p557 @p147)) % 1.34/1.53 (step @p434 :rule modus_ponens :premises (@p433 @p430)) % 1.34/1.53 (step-pop @p562 :rule scope :premises (@p434)) % 1.34/1.53 (step-pop @p563 :rule scope :premises (@p562)) % 1.34/1.53 (step @p435 :rule process_scope :premises (@p563) :args (@t256)) % 1.34/1.53 (step @p438 :rule implies_elim :premises (@p435)) % 1.34/1.53 (step @p439 :rule cnf_and_neg :args (@t260)) % 1.34/1.53 (step @p440 :rule resolution :premises (@p439 @p438) :args (true @t260)) % 1.34/1.53 (step @p441 :rule chain_m_resolution :premises (@p440 @p147 @p419 @p417 @p415 @p363 @p361 @p356 @p350 @p345 @p336 @p334 @p328 @p326 @p276 @p274) :args (@t135 (@list false true false false false false false false true false false true false false true) (@list @t121 @t256 @t259 @t254 @t236 @t230 @t232 @t237 @t234 @t226 @t227 @t223 @t225 @t134 @t136))) % 1.34/1.53 (step @p442 :rule cnf_equiv_neg2 :args (@t136)) % 1.34/1.53 (step @p443 :rule chain_m_resolution :premises (@p442 @p274 @p441) :args (@t228 @t183 (@list @t136 @t135))) % 1.34/1.53 (step @p444 :rule eq-symm :args (@t152 tptp.empty_set)) % 1.34/1.53 (step @p445 :rule refl :args (@t135)) % 1.34/1.53 (step @p446 :rule cong :premises (@p445 @p444) :args (@t261)) % 1.34/1.53 (step @p447 :rule refl :args (@t51)) % 1.34/1.53 (step @p448 :rule cong :premises (@p447 @p446) :args ((=> @t51 @t261))) % 1.34/1.53 (assume-push @p564 @t51) % 1.34/1.53 (step @p450 :rule instantiate :premises (@p20) :args (@t143)) % 1.34/1.53 (step-pop @p565 :rule scope :premises (@p450)) % 1.34/1.53 (step @p451 :rule process_scope :premises (@p565) :args (@t261)) % 1.34/1.53 (step @p453 :rule eq_resolve :premises (@p451 @p448)) % 1.34/1.53 (step @p454 :rule implies_elim :premises (@p453)) % 1.34/1.53 (step @p455 :rule chain_m_resolution :premises (@p454 @p20) :args (@t263 @t123 (@list @t51))) % 1.34/1.53 (step @p456 :rule cnf_equiv_pos1 :args (@t263)) % 1.34/1.53 (step @p457 :rule reordering :premises (@p456) :args ((or (not @t135) @t262 (not @t263)))) % 1.34/1.53 (step @p458 :rule chain_m_resolution :premises (@p457 @p441 @p455) :args (@t262 @t142 (@list @t135 @t263))) % 1.34/1.53 (step @p459 :rule refl :args (@t264)) % 1.34/1.53 (step @p460 :rule refl :args (@t265)) % 1.34/1.53 (step @p461 :rule refl :args (@t266)) % 1.34/1.53 (step @p462 :rule refl :args (@t271)) % 1.34/1.53 (step @p463 :rule refl :args (@t273)) % 1.34/1.53 (step @p464 :rule refl :args (@t275)) % 1.34/1.53 (step @p465 :rule refl :args (@t276)) % 1.34/1.53 (step @p466 :rule refl :args (@t277)) % 1.34/1.53 (step @p467 :rule refl :args (@t279)) % 1.34/1.53 (step @p468 :rule refl :args (@t280)) % 1.34/1.53 (step @p469 :rule refl :args (@t281)) % 1.34/1.53 (step @p470 :rule bool-double-not-elim :args (@t134)) % 1.34/1.53 (step @p471 :rule nary_cong :premises (@p470 @p469 @p468 @p467 @p466 @p465 @p464 @p463 @p462 @p461 @p460 @p459) :args ((or (not @t228) @t281 @t280 @t279 @t277 @t276 @t275 @t273 @t271 @t266 @t265 @t264))) % 1.34/1.53 (assume-push @p566 @t228) % 1.34/1.53 (assume-push @p567 @t155) % 1.34/1.53 (assume-push @p568 @t274) % 1.34/1.53 (assume-push @p569 @t278) % 1.34/1.53 (assume-push @p570 @t270) % 1.34/1.53 (assume-push @p571 @t272) % 1.34/1.53 (assume-push @p572 @t148) % 1.34/1.53 (assume-push @p573 @t262) % 1.34/1.53 (assume-push @p574 @t162) % 1.34/1.53 (assume-push @p575 @t193) % 1.34/1.53 (assume-push @p576 @t121) % 1.34/1.53 (assume-push @p577 @t189) % 1.34/1.53 (step @p484 :rule evaluate :args ((= true false))) % 1.34/1.53 (step @p485 :rule false_intro :premises (@p566)) % 1.34/1.53 (step @p486 :rule refl :args (@t114)) % 1.34/1.53 (step @p487 :rule symm :premises (@p172)) % 1.34/1.53 (step @p488 :rule symm :premises (@p173)) % 1.34/1.53 (step @p489 :rule symm :premises (@p198)) % 1.34/1.53 (step @p490 :rule trans :premises (@p489 @p573)) % 1.34/1.53 (step @p491 :rule refl :args (@t153)) % 1.34/1.53 (step @p492 :rule cong :premises (@p491 @p490) :args (@t192)) % 1.34/1.53 (step @p493 :rule symm :premises (@p151)) % 1.34/1.53 (step @p494 :rule cong :premises (@p190 @p493) :args (@t268)) % 1.34/1.53 (step @p495 :rule trans :premises (@p164 @p174 @p175 @p494 @p272 @p492 @p488 @p487)) % 1.34/1.53 (step @p496 :rule cong :premises (@p495 @p486) :args ((tptp.subset @t145 @t114))) % 1.34/1.53 (step @p425 :rule symm :premises (@p147)) % 1.34/1.53 (step @p497 :rule cong :premises (@p185 @p425) :args (@t189)) % 1.34/1.53 (step @p498 :rule true_intro :premises (@p268)) % 1.34/1.53 (step @p499 :rule symm :premises (@p498)) % 1.34/1.53 (step @p500 :rule trans :premises (@p499 @p497 @p496 @p485)) % 1.34/1.53 (step @p501 false :rule eq_resolve :premises (@p500 @p484)) % 1.34/1.53 (step-pop @p578 :rule scope :premises (@p501)) % 1.34/1.53 (step-pop @p579 :rule scope :premises (@p578)) % 1.34/1.53 (step-pop @p580 :rule scope :premises (@p579)) % 1.34/1.53 (step-pop @p581 :rule scope :premises (@p580)) % 1.34/1.53 (step-pop @p582 :rule scope :premises (@p581)) % 1.34/1.53 (step-pop @p583 :rule scope :premises (@p582)) % 1.34/1.53 (step-pop @p584 :rule scope :premises (@p583)) % 1.34/1.53 (step-pop @p585 :rule scope :premises (@p584)) % 1.34/1.53 (step-pop @p586 :rule scope :premises (@p585)) % 1.34/1.53 (step-pop @p587 :rule scope :premises (@p586)) % 1.34/1.53 (step-pop @p588 :rule scope :premises (@p587)) % 1.34/1.53 (step-pop @p589 :rule scope :premises (@p588)) % 1.34/1.53 (step @p502 :rule process_scope :premises (@p589) :args (false)) % 1.34/1.53 (assume-push @p590 @t228) % 1.34/1.53 (assume-push @p591 @t121) % 1.34/1.53 (assume-push @p592 @t262) % 1.34/1.53 (assume-push @p593 @t278) % 1.34/1.53 (assume-push @p594 @t148) % 1.34/1.53 (assume-push @p595 @t155) % 1.34/1.53 (assume-push @p596 @t274) % 1.34/1.53 (assume-push @p597 @t272) % 1.34/1.53 (assume-push @p598 @t270) % 1.34/1.53 (assume-push @p599 @t162) % 1.34/1.53 (assume-push @p600 @t189) % 1.34/1.53 (assume-push @p601 @t193) % 1.34/1.53 (step @p527 :rule and_intro :premises (@p590 @p172 @p173 @p151 @p175 @p174 @p164 @p592 @p198 @p272 @p147 @p268)) % 1.34/1.53 (step-pop @p602 :rule scope :premises (@p527)) % 1.34/1.53 (step-pop @p603 :rule scope :premises (@p602)) % 1.34/1.53 (step-pop @p604 :rule scope :premises (@p603)) % 1.34/1.53 (step-pop @p605 :rule scope :premises (@p604)) % 1.34/1.53 (step-pop @p606 :rule scope :premises (@p605)) % 1.34/1.53 (step-pop @p607 :rule scope :premises (@p606)) % 1.34/1.53 (step-pop @p608 :rule scope :premises (@p607)) % 1.34/1.53 (step-pop @p609 :rule scope :premises (@p608)) % 1.34/1.53 (step-pop @p610 :rule scope :premises (@p609)) % 1.34/1.53 (step-pop @p611 :rule scope :premises (@p610)) % 1.34/1.53 (step-pop @p612 :rule scope :premises (@p611)) % 1.34/1.53 (step-pop @p613 :rule scope :premises (@p612)) % 1.34/1.53 (step @p528 :rule process_scope :premises (@p613) :args (@t282)) % 1.34/1.53 (step @p541 :rule implies_elim :premises (@p528)) % 1.34/1.53 (step @p542 :rule resolution :premises (@p541 @p502) :args (true @t282)) % 1.34/1.53 (step @p543 :rule not_and :premises (@p542)) % 1.34/1.53 (step @p544 :rule eq_resolve :premises (@p543 @p471)) % 1.34/1.53 (step @p545 false :rule chain_m_resolution :premises (@p544 @p458 @p443 @p272 @p268 @p198 @p175 @p174 @p173 @p172 @p164 @p151 @p147) :args (false (@list false true false false false false false false false false false false) (@list @t262 @t134 @t193 @t189 @t162 @t270 @t272 @t274 @t155 @t148 @t278 @t121))) % 1.34/1.53 ) % 1.34/1.53 % SZS output end Proof % 1.34/1.53 % cvc5 exiting %------------------------------------------------------------------------------