%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU176+2 : 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 : n017.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 08:50:51 AM UTC 2026 % Result : Theorem 0.35s 0.67s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU176+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:32:16 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.67 % SZS status Theorem % 0.35/0.67 % SZS output start Proof % 0.35/0.67 ( % 0.35/0.67 (declare-sort $$unsorted 0) % 0.35/0.67 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 0.35/0.67 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.35/0.67 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.35/0.67 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.35/0.67 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 0.35/0.67 (declare-const tptp.empty_set $$unsorted) % 0.35/0.67 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.35/0.67 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.67 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.35/0.67 (define @t1 () (@var "A" $$unsorted)) % 0.35/0.67 (define @t2 () (@var "B" $$unsorted)) % 0.35/0.67 (define @t3 () (tptp.in @t2 @t1)) % 0.35/0.67 (define @t4 () (not @t3)) % 0.35/0.67 (define @t5 () (tptp.in @t1 @t2)) % 0.35/0.67 (define @t6 () (@list @t1 @t2)) % 0.35/0.67 (define @t7 () (tptp.proper_subset @t2 @t1)) % 0.35/0.67 (define @t8 () (tptp.proper_subset @t1 @t2)) % 0.35/0.67 (define @t9 () (tptp.unordered_pair @t1 @t2)) % 0.35/0.67 (define @t10 () (tptp.set_union2 @t2 @t1)) % 0.35/0.67 (define @t11 () (tptp.set_union2 @t1 @t2)) % 0.35/0.67 (define @t12 () (tptp.set_intersection2 @t1 @t2)) % 0.35/0.67 (define @t13 () (tptp.subset @t1 @t2)) % 0.35/0.67 (define @t14 () (= @t1 @t2)) % 0.35/0.67 (define @t15 () (= @t2 tptp.empty_set)) % 0.35/0.67 (define @t16 () (= @t2 (tptp.set_meet @t1))) % 0.35/0.67 (define @t17 () (= @t1 tptp.empty_set)) % 0.35/0.67 (define @t18 () (@var "D" $$unsorted)) % 0.35/0.67 (define @t19 () (@var "C" $$unsorted)) % 0.35/0.67 (define @t20 () (tptp.in @t19 @t18)) % 0.35/0.67 (define @t21 () (tptp.in @t18 @t1)) % 0.35/0.67 (define @t22 () (@list @t18)) % 0.35/0.67 (define @t23 () (tptp.in @t19 @t2)) % 0.35/0.67 (define @t24 () (@list @t19)) % 0.35/0.67 (define @t25 () (not @t17)) % 0.35/0.67 (define @t26 () (tptp.singleton @t1)) % 0.35/0.67 (define @t27 () (@list @t2)) % 0.35/0.67 (define @t28 () (@list @t1)) % 0.35/0.67 (define @t29 () (tptp.powerset @t1)) % 0.35/0.67 (define @t30 () (tptp.empty @t2)) % 0.35/0.67 (define @t31 () (tptp.element @t2 @t1)) % 0.35/0.67 (define @t32 () (tptp.empty @t1)) % 0.35/0.67 (define @t33 () (not @t32)) % 0.35/0.67 (define @t34 () (tptp.in @t18 @t19)) % 0.35/0.67 (define @t35 () (@list @t1 @t2 @t19)) % 0.35/0.67 (define @t36 () (tptp.in @t18 @t2)) % 0.35/0.67 (define @t37 () (@var "F" $$unsorted)) % 0.35/0.67 (define @t38 () (@var "E" $$unsorted)) % 0.35/0.67 (define @t39 () (tptp.in @t19 @t1)) % 0.35/0.67 (define @t40 () (forall @t24 (=> @t39 @t23))) % 0.35/0.67 (define @t41 () (tptp.cast_to_subset @t1)) % 0.35/0.67 (define @t42 () (forall @t28 (= @t41 @t1))) % 0.35/0.67 (define @t43 () (tptp.set_difference @t1 @t2)) % 0.35/0.67 (define @t44 () (tptp.subset_complement @t1 @t2)) % 0.35/0.67 (define @t45 () (tptp.element @t2 @t29)) % 0.35/0.67 (define @t46 () (=> @t45 (= @t44 @t43))) % 0.35/0.67 (define @t47 () (forall @t6 @t46)) % 0.35/0.67 (define @t48 () (tptp.ordered_pair @t1 @t2)) % 0.35/0.67 (define @t49 () (tptp.disjoint @t1 @t2)) % 0.35/0.67 (define @t50 () (tptp.complements_of_subsets @t1 @t2)) % 0.35/0.67 (define @t51 () (tptp.powerset @t29)) % 0.35/0.67 (define @t52 () (tptp.element @t2 @t51)) % 0.35/0.67 (define @t53 () (not @t14)) % 0.35/0.67 (define @t54 () (tptp.union_of_subsets @t1 @t2)) % 0.35/0.67 (define @t55 () (tptp.element @t54 @t29)) % 0.35/0.67 (define @t56 () (forall @t6 (=> @t52 @t55))) % 0.35/0.67 (define @t57 () (tptp.meet_of_subsets @t1 @t2)) % 0.35/0.67 (define @t58 () (tptp.element @t57 @t29)) % 0.35/0.67 (define @t59 () (forall @t6 (=> @t52 @t58))) % 0.35/0.67 (define @t60 () (tptp.subset_difference @t1 @t2 @t19)) % 0.35/0.67 (define @t61 () (tptp.element @t19 @t29)) % 0.35/0.67 (define @t62 () (and @t45 @t61)) % 0.35/0.67 (define @t63 () (tptp.element @t50 @t51)) % 0.35/0.67 (define @t64 () (forall @t6 (=> @t52 @t63))) % 0.35/0.67 (define @t65 () (tptp.subset_complement @t1 @t44)) % 0.35/0.67 (define @t66 () (=> @t45 (= @t65 @t2))) % 0.35/0.67 (define @t67 () (forall @t6 @t66)) % 0.35/0.67 (define @t68 () (tptp.complements_of_subsets @t1 @t50)) % 0.35/0.67 (define @t69 () (=> @t52 (= @t68 @t2))) % 0.35/0.67 (define @t70 () (forall @t6 @t69)) % 0.35/0.67 (define @t71 () (tptp.disjoint @t26 @t2)) % 0.35/0.67 (define @t72 () (tptp.singleton @t2)) % 0.35/0.67 (define @t73 () (tptp.union @t2)) % 0.35/0.67 (define @t74 () (tptp.in @t1 @t19)) % 0.35/0.67 (define @t75 () (@list @t1 @t2 @t19 @t18)) % 0.35/0.67 (define @t76 () (tptp.element @t1 (tptp.powerset @t2))) % 0.35/0.67 (define @t77 () (tptp.set_difference @t2 @t19)) % 0.35/0.67 (define @t78 () (= @t60 @t77)) % 0.35/0.67 (define @t79 () (forall @t35 (=> @t62 @t78))) % 0.35/0.67 (define @t80 () (= @t1 @t19)) % 0.35/0.67 (define @t81 () (tptp.cartesian_product2 @t1 @t19)) % 0.35/0.67 (define @t82 () (not @t23)) % 0.35/0.67 (define @t83 () (tptp.subset @t19 @t2)) % 0.35/0.67 (define @t84 () (forall @t24 (not (and @t83 (not (tptp.are_equipotent @t19 @t2)) @t82)))) % 0.35/0.67 (define @t85 () (tptp.powerset @t19)) % 0.35/0.67 (define @t86 () (forall (@list @t19 @t18) (=> (and @t23 (tptp.subset @t18 @t19)) @t36))) % 0.35/0.67 (define @t87 () (tptp.set_intersection2 @t2 @t19)) % 0.35/0.67 (define @t88 () (tptp.subset @t1 @t19)) % 0.35/0.67 (define @t89 () (tptp.element @t1 @t2)) % 0.35/0.67 (define @t90 () (tptp.in @t2 @t19)) % 0.35/0.67 (define @t91 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 0.35/0.67 (define @t92 () (and @t39 @t23)) % 0.35/0.67 (define @t93 () (not @t49)) % 0.35/0.67 (define @t94 () (tptp.subset_complement @t1 @t19)) % 0.35/0.67 (define @t95 () (tptp.disjoint @t2 @t19)) % 0.35/0.67 (define @t96 () (not @t15)) % 0.35/0.67 (define @t97 () (and @t96 (= @t50 tptp.empty_set))) % 0.35/0.67 (define @t98 () (not @t97)) % 0.35/0.67 (define @t99 () (=> @t52 @t98)) % 0.35/0.67 (define @t100 () (forall @t6 @t99)) % 0.35/0.67 (define @t101 () (= (tptp.subset_difference @t1 @t41 @t54) (tptp.meet_of_subsets @t1 @t50))) % 0.35/0.67 (define @t102 () (=> @t96 @t101)) % 0.35/0.67 (define @t103 () (forall @t6 (=> @t52 @t102))) % 0.35/0.67 (define @t104 () (= (tptp.union_of_subsets @t1 @t50) (tptp.subset_difference @t1 @t41 @t57))) % 0.35/0.67 (define @t105 () (=> @t96 @t104)) % 0.35/0.67 (define @t106 () (forall @t6 (=> @t52 @t105))) % 0.35/0.67 (define @t107 () (not @t106)) % 0.35/0.67 (define @t108 () (tptp.element @t2 @t85)) % 0.35/0.67 (define @t109 () (tptp.in @t19 @t12)) % 0.35/0.67 (define @t110 () (= @t26 (tptp.unordered_pair @t2 @t19))) % 0.35/0.67 (define @t111 () (not @t52)) % 0.35/0.67 (define @t112 () (or @t111 @t15 @t104)) % 0.35/0.67 (define @t113 () (not @t96)) % 0.35/0.67 (define @t114 () (forall @t6 @t112)) % 0.35/0.67 (define @t115 () (@quantifiers_skolemize @t114 1)) % 0.35/0.67 (define @t116 () (@quantifiers_skolemize @t114 0)) % 0.35/0.67 (define @t117 () (tptp.meet_of_subsets @t116 @t115)) % 0.35/0.67 (define @t118 () (tptp.cast_to_subset @t116)) % 0.35/0.67 (define @t119 () (tptp.subset_difference @t116 @t118 @t117)) % 0.35/0.67 (define @t120 () (tptp.complements_of_subsets @t116 @t115)) % 0.35/0.67 (define @t121 () (tptp.union_of_subsets @t116 @t120)) % 0.35/0.67 (define @t122 () (= @t121 @t119)) % 0.35/0.67 (define @t123 () (= tptp.empty_set @t115)) % 0.35/0.67 (define @t124 () (tptp.powerset @t116)) % 0.35/0.67 (define @t125 () (tptp.powerset @t124)) % 0.35/0.67 (define @t126 () (tptp.element @t115 @t125)) % 0.35/0.67 (define @t127 () (not @t126)) % 0.35/0.67 (define @t128 () (or @t127 @t123 @t122)) % 0.35/0.67 (define @t129 () (not @t128)) % 0.35/0.67 (define @t130 () (not @t114)) % 0.35/0.67 (define @t131 () (= @t115 tptp.empty_set)) % 0.35/0.67 (define @t132 () (or @t127 @t131 @t122)) % 0.35/0.67 (define @t133 () (not @t132)) % 0.35/0.67 (define @t134 () (@list true)) % 0.35/0.67 (define @t135 () (@list @t128)) % 0.35/0.67 (define @t136 () (@list @t116)) % 0.35/0.67 (define @t137 () (= @t2 @t68)) % 0.35/0.67 (define @t138 () (@list @t116 @t115)) % 0.35/0.67 (define @t139 () (tptp.complements_of_subsets @t116 @t120)) % 0.35/0.67 (define @t140 () (= @t115 @t139)) % 0.35/0.67 (define @t141 () (or @t127 @t140)) % 0.35/0.67 (define @t142 () (@list false false)) % 0.35/0.67 (define @t143 () (not @t61)) % 0.35/0.67 (define @t144 () (not @t45)) % 0.35/0.67 (define @t145 () (tptp.element @t117 @t124)) % 0.35/0.67 (define @t146 () (or @t127 @t145)) % 0.35/0.67 (define @t147 () (= @t119 (tptp.set_difference @t118 @t117))) % 0.35/0.67 (define @t148 () (not @t145)) % 0.35/0.67 (define @t149 () (tptp.element @t118 @t124)) % 0.35/0.67 (define @t150 () (not @t149)) % 0.35/0.67 (define @t151 () (or @t150 @t148 @t147)) % 0.35/0.67 (define @t152 () (@list false false false)) % 0.35/0.67 (define @t153 () (or @t111 @t15 @t101)) % 0.35/0.67 (define @t154 () (tptp.meet_of_subsets @t116 @t139)) % 0.35/0.67 (define @t155 () (tptp.subset_difference @t116 @t118 @t121)) % 0.35/0.67 (define @t156 () (= @t155 @t154)) % 0.35/0.67 (define @t157 () (tptp.element @t120 @t125)) % 0.35/0.67 (define @t158 () (not @t157)) % 0.35/0.67 (define @t159 () (or @t158 (= @t120 tptp.empty_set) @t156)) % 0.35/0.67 (define @t160 () (forall @t6 @t153)) % 0.35/0.67 (define @t161 () (@list @t116 @t120)) % 0.35/0.67 (define @t162 () (= tptp.empty_set @t120)) % 0.35/0.67 (define @t163 () (or @t158 @t162 @t156)) % 0.35/0.67 (define @t164 () (@list false)) % 0.35/0.67 (define @t165 () (= tptp.empty_set @t50)) % 0.35/0.67 (define @t166 () (not @t165)) % 0.35/0.67 (define @t167 () (or @t111 @t15 @t166)) % 0.35/0.67 (define @t168 () (not (and @t96 @t165))) % 0.35/0.67 (define @t169 () (not @t162)) % 0.35/0.67 (define @t170 () (or @t127 @t131 @t169)) % 0.35/0.67 (define @t171 () (forall @t6 @t167)) % 0.35/0.67 (define @t172 () (or @t127 @t123 @t169)) % 0.35/0.67 (define @t173 () (@list false true false)) % 0.35/0.67 (define @t174 () (or @t127 @t157)) % 0.35/0.67 (define @t175 () (= @t43 @t44)) % 0.35/0.67 (define @t176 () (@list @t116 @t121)) % 0.35/0.67 (define @t177 () (tptp.element @t121 @t124)) % 0.35/0.67 (define @t178 () (or @t158 @t177)) % 0.35/0.67 (define @t179 () (tptp.subset_complement @t116 @t121)) % 0.35/0.67 (define @t180 () (tptp.set_difference @t116 @t121)) % 0.35/0.67 (define @t181 () (= @t180 @t179)) % 0.35/0.67 (define @t182 () (not @t177)) % 0.35/0.67 (define @t183 () (or @t182 @t181)) % 0.35/0.67 (define @t184 () (tptp.set_difference @t116 @t117)) % 0.35/0.67 (define @t185 () (= @t184 (tptp.subset_complement @t116 @t117))) % 0.35/0.67 (define @t186 () (or @t148 @t185)) % 0.35/0.67 (define @t187 () (= @t2 @t65)) % 0.35/0.67 (define @t188 () (tptp.subset_complement @t116 @t179)) % 0.35/0.67 (define @t189 () (= @t121 @t188)) % 0.35/0.67 (define @t190 () (or @t182 @t189)) % 0.35/0.67 (define @t191 () (= @t155 (tptp.set_difference @t118 @t121))) % 0.35/0.67 (define @t192 () (or @t150 @t182 @t191)) % 0.35/0.67 (define @t193 () (= @t116 @t118)) % 0.35/0.67 (define @t194 () (and @t193 @t140 @t147 @t156 @t181 @t185 @t189 @t191)) % 0.35/0.67 (assume @p1 (forall @t6 (=> @t5 @t4))) % 0.35/0.67 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 0.35/0.67 (assume @p3 (forall @t6 (= @t9 (tptp.unordered_pair @t2 @t1)))) % 0.35/0.67 (assume @p4 (forall @t6 (= @t11 @t10))) % 0.35/0.67 (assume @p5 (forall @t6 (= @t12 (tptp.set_intersection2 @t2 @t1)))) % 0.35/0.67 (assume @p6 (forall @t6 (= @t14 (and @t13 (tptp.subset @t2 @t1))))) % 0.35/0.67 (assume @p7 (forall @t6 (and (=> @t25 (= @t16 (forall @t24 (= @t23 (forall @t22 (=> @t21 @t20)))))) (=> @t17 (= @t16 @t15))))) % 0.35/0.67 (assume @p8 (forall @t6 (= (= @t2 @t26) (forall @t24 (= @t23 (= @t19 @t1)))))) % 0.35/0.67 (assume @p9 (forall @t28 (= @t17 (forall @t27 @t4)))) % 0.35/0.67 (assume @p10 (forall @t6 (= (= @t2 @t29) (forall @t24 (= @t23 (tptp.subset @t19 @t1)))))) % 0.35/0.67 (assume @p11 (forall @t6 (and (=> @t33 (= @t31 @t3)) (=> @t32 (= @t31 @t30))))) % 0.35/0.67 (assume @p12 (forall @t35 (= (= @t19 @t9) (forall @t22 (= @t34 (or (= @t18 @t1) (= @t18 @t2))))))) % 0.35/0.67 (assume @p13 (forall @t35 (= (= @t19 @t11) (forall @t22 (= @t34 (or @t21 @t36)))))) % 0.35/0.67 (assume @p14 (forall @t35 (= (= @t19 (tptp.cartesian_product2 @t1 @t2)) (forall @t22 (= @t34 (exists (@list @t38 @t37) (and (tptp.in @t38 @t1) (tptp.in @t37 @t2) (= @t18 (tptp.ordered_pair @t38 @t37))))))))) % 0.35/0.67 (assume @p15 (forall @t6 (= @t13 @t40))) % 0.35/0.67 (assume @p16 (forall @t35 (= (= @t19 @t12) (forall @t22 (= @t34 (and @t21 @t36)))))) % 0.35/0.67 (assume @p17 @t42) % 0.35/0.67 (assume @p18 (forall @t6 (= (= @t2 (tptp.union @t1)) (forall @t24 (= @t23 (exists @t22 (and @t20 @t21))))))) % 0.35/0.67 (assume @p19 (forall @t35 (= (= @t19 @t43) (forall @t22 (= @t34 (and @t21 (not @t36))))))) % 0.35/0.67 (assume @p20 @t47) % 0.35/0.67 (assume @p21 (forall @t6 (= @t48 (tptp.unordered_pair @t9 @t26)))) % 0.35/0.67 (assume @p22 (forall @t6 (= @t49 (= @t12 tptp.empty_set)))) % 0.35/0.67 (assume @p23 (forall @t6 (=> @t52 (forall @t24 (=> (tptp.element @t19 @t51) (= (= @t19 @t50) (forall @t22 (=> (tptp.element @t18 @t29) (= @t34 (tptp.in (tptp.subset_complement @t1 @t18) @t2)))))))))) % 0.35/0.67 (assume @p24 (forall @t6 (= @t8 (and @t13 @t53)))) % 0.35/0.67 (assume @p25 true) % 0.35/0.67 (assume @p26 (forall @t28 (tptp.element @t41 @t29))) % 0.35/0.67 (assume @p27 (forall @t6 (=> @t45 (tptp.element @t44 @t29)))) % 0.35/0.67 (assume @p28 @t56) % 0.35/0.67 (assume @p29 @t59) % 0.35/0.67 (assume @p30 (forall @t35 (=> @t62 (tptp.element @t60 @t29)))) % 0.35/0.67 (assume @p31 @t64) % 0.35/0.67 (assume @p32 (forall @t28 (exists @t27 @t31))) % 0.35/0.67 (assume @p33 (forall @t28 (not (tptp.empty @t29)))) % 0.35/0.67 (assume @p34 (tptp.empty tptp.empty_set)) % 0.35/0.67 (assume @p35 (forall @t6 (not (tptp.empty @t48)))) % 0.35/0.67 (assume @p36 (forall @t6 (=> @t33 (not (tptp.empty @t11))))) % 0.35/0.67 (assume @p37 (forall @t6 (=> @t33 (not (tptp.empty @t10))))) % 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@p208 @p207) :args (@t159)) % 0.35/0.67 (step @p211 :rule refl :args (@t160)) % 0.35/0.67 (step @p212 :rule cong :premises (@p211 @p210) :args ((=> @t160 @t159))) % 0.35/0.67 (assume-push @p340 @t160) % 0.35/0.67 (step @p214 :rule instantiate :premises (@p206) :args (@t161)) % 0.35/0.67 (step-pop @p341 :rule scope :premises (@p214)) % 0.35/0.67 (step @p215 :rule process_scope :premises (@p341) :args (@t159)) % 0.35/0.67 (step @p217 :rule eq_resolve :premises (@p215 @p212)) % 0.35/0.67 (step @p218 :rule implies_elim :premises (@p217)) % 0.35/0.67 (step @p219 :rule chain_m_resolution :premises (@p218 @p206) :args (@t163 @t164 (@list @t160))) % 0.35/0.67 (step @p220 :rule aci_norm :args ((= (or @t111 (or @t15 @t166)) @t167))) % 0.35/0.67 (step @p221 :rule refl :args (@t166)) % 0.35/0.67 (step @p222 :rule nary_cong :premises (@p120 @p221) :args ((or @t113 @t166))) % 0.35/0.67 (step @p223 :rule bool-and-de-morgan :args (@t96 @t165 true)) % 0.35/0.67 (step @p224 :rule trans :premises (@p223 @p222)) % 0.35/0.67 (step @p225 :rule nary_cong :premises (@p124 @p224) :args ((or @t111 @t168))) % 0.35/0.67 (step @p226 :rule trans :premises (@p225 @p220)) % 0.35/0.67 (step @p227 :rule bool-impl-elim :args (@t52 @t168)) % 0.35/0.67 (step @p228 :rule trans :premises (@p227 @p226)) % 0.35/0.67 (step @p229 :rule cong :premises (@p228) :args ((forall @t6 (=> @t52 @t168)))) % 0.35/0.67 (step @p230 :rule eq-symm :args (@t50 tptp.empty_set)) % 0.35/0.67 (step @p231 :rule refl :args (@t96)) % 0.35/0.67 (step @p232 :rule nary_cong :premises (@p231 @p230) :args (@t97)) % 0.35/0.67 (step @p233 :rule cong :premises (@p232) :args (@t98)) % 0.35/0.67 (step @p234 :rule cong :premises (@p159 @p233) :args (@t99)) % 0.35/0.67 (step @p235 :rule cong :premises (@p234) :args (@t100)) % 0.35/0.67 (step @p236 :rule trans :premises (@p235 @p229)) % 0.35/0.67 (step @p237 :rule eq_resolve :premises (@p93 @p236)) % 0.35/0.67 (step @p238 :rule refl :args (@t169)) % 0.35/0.67 (step @p239 :rule nary_cong :premises (@p137 @p136 @p238) :args (@t170)) % 0.35/0.67 (step @p240 :rule refl :args (@t171)) % 0.35/0.67 (step @p241 :rule cong :premises (@p240 @p239) :args ((=> @t171 @t170))) % 0.35/0.67 (assume-push @p342 @t171) % 0.35/0.67 (step @p243 :rule instantiate :premises (@p237) :args (@t138)) % 0.35/0.67 (step-pop @p343 :rule scope :premises (@p243)) % 0.35/0.67 (step @p244 :rule process_scope :premises (@p343) :args (@t170)) % 0.35/0.67 (step @p246 :rule eq_resolve :premises (@p244 @p241)) % 0.35/0.67 (step @p247 :rule implies_elim :premises (@p246)) % 0.35/0.67 (step @p248 :rule chain_m_resolution :premises (@p247 @p237) :args (@t172 @t164 (@list @t171))) % 0.35/0.67 (step @p249 :rule cnf_or_neg :args (@t128 1)) % 0.35/0.67 (step @p250 :rule chain_m_resolution :premises (@p249 @p149) :args ((not @t123) @t134 @t135)) % 0.35/0.67 (step @p251 :rule cnf_or_pos :args (@t172)) % 0.35/0.67 (step @p252 :rule reordering :premises (@p251) :args ((or @t127 @t123 @t169 (not @t172)))) % 0.35/0.67 (step @p253 :rule chain_m_resolution :premises (@p252 @p171 @p250 @p248) :args (@t169 @t173 (@list @t126 @t123 @t172))) % 0.35/0.67 (step @p254 :rule bool-impl-elim :args (@t52 @t63)) % 0.35/0.67 (step @p255 :rule cong :premises (@p254) :args (@t64)) % 0.35/0.67 (step @p256 :rule eq_resolve :premises (@p31 @p255)) % 0.35/0.67 (step @p257 :rule instantiate :premises (@p256) :args (@t138)) % 0.35/0.67 (step @p258 :rule cnf_or_pos :args (@t174)) % 0.35/0.67 (step @p259 :rule reordering :premises (@p258) :args ((or @t127 @t157 (not @t174)))) % 0.35/0.67 (step @p260 :rule chain_m_resolution :premises (@p259 @p171 @p257) :args (@t157 @t142 (@list @t126 @t174))) % 0.35/0.67 (step @p261 :rule cnf_or_pos :args (@t163)) % 0.35/0.67 (step @p262 :rule reordering :premises (@p261) :args ((or @t158 @t162 @t156 (not @t163)))) % 0.35/0.67 (step @p263 :rule chain_m_resolution :premises (@p262 @p260 @p253 @p219) :args (@t156 @t173 (@list @t157 @t162 @t163))) % 0.35/0.67 (step @p264 :rule bool-impl-elim :args (@t45 @t175)) % 0.35/0.67 (step @p265 :rule cong :premises (@p264) :args ((forall @t6 (=> @t45 @t175)))) % 0.35/0.67 (step @p266 :rule eq-symm :args (@t44 @t43)) % 0.35/0.67 (step @p267 :rule refl :args (@t45)) % 0.35/0.67 (step @p268 :rule cong :premises (@p267 @p266) :args (@t46)) % 0.35/0.67 (step @p269 :rule cong :premises (@p268) :args (@t47)) % 0.35/0.67 (step @p270 :rule trans :premises (@p269 @p265)) % 0.35/0.67 (step @p271 :rule eq_resolve :premises (@p20 @p270)) % 0.35/0.67 (step @p272 :rule instantiate :premises (@p271) :args (@t176)) % 0.35/0.67 (step @p273 :rule bool-impl-elim :args (@t52 @t55)) % 0.35/0.67 (step @p274 :rule cong :premises (@p273) :args (@t56)) % 0.35/0.67 (step @p275 :rule eq_resolve :premises (@p28 @p274)) % 0.35/0.67 (step @p276 :rule instantiate :premises (@p275) :args (@t161)) % 0.35/0.67 (step @p277 :rule cnf_or_pos :args (@t178)) % 0.35/0.67 (step @p278 :rule reordering :premises (@p277) :args ((or @t158 @t177 (not @t178)))) % 0.35/0.67 (step @p279 :rule chain_m_resolution :premises (@p278 @p260 @p276) :args (@t177 @t142 (@list @t157 @t178))) % 0.35/0.67 (step @p280 :rule cnf_or_pos :args (@t183)) % 0.35/0.67 (step @p281 :rule reordering :premises (@p280) :args ((or @t182 @t181 (not @t183)))) % 0.35/0.67 (step @p282 :rule chain_m_resolution :premises (@p281 @p279 @p272) :args (@t181 @t142 (@list @t177 @t183))) % 0.35/0.67 (step @p283 :rule instantiate :premises (@p271) :args ((@list @t116 @t117))) % 0.35/0.67 (step @p284 :rule cnf_or_pos :args (@t186)) % 0.35/0.67 (step @p285 :rule reordering :premises (@p284) :args ((or @t148 @t185 (not @t186)))) % 0.35/0.67 (step @p286 :rule chain_m_resolution :premises (@p285 @p191 @p283) :args (@t185 @t142 (@list @t145 @t186))) % 0.35/0.67 (step @p287 :rule bool-impl-elim :args (@t45 @t187)) % 0.35/0.67 (step @p288 :rule cong :premises (@p287) :args ((forall @t6 (=> @t45 @t187)))) % 0.35/0.67 (step @p289 :rule eq-symm :args (@t65 @t2)) % 0.35/0.67 (step @p290 :rule cong :premises (@p267 @p289) :args (@t66)) % 0.35/0.67 (step @p291 :rule cong :premises (@p290) :args (@t67)) % 0.35/0.67 (step @p292 :rule trans :premises (@p291 @p288)) % 0.35/0.67 (step @p293 :rule eq_resolve :premises (@p40 @p292)) % 0.35/0.67 (step @p294 :rule instantiate :premises (@p293) :args (@t176)) % 0.35/0.67 (step @p295 :rule cnf_or_pos :args (@t190)) % 0.35/0.67 (step @p296 :rule reordering :premises (@p295) :args ((or @t182 @t189 (not @t190)))) % 0.35/0.67 (step @p297 :rule chain_m_resolution :premises (@p296 @p279 @p294) :args (@t189 @t142 (@list @t177 @t190))) % 0.35/0.67 (step @p298 :rule instantiate :premises (@p183) :args ((@list @t116 @t118 @t121))) % 0.35/0.67 (step @p299 :rule cnf_or_pos :args (@t192)) % 0.35/0.67 (step @p300 :rule reordering :premises (@p299) :args ((or @t150 @t182 @t191 (not @t192)))) % 0.35/0.67 (step @p301 :rule chain_m_resolution :premises (@p300 @p192 @p279 @p298) :args (@t191 @t152 (@list @t149 @t177 @t192))) % 0.35/0.67 (assume-push @p344 @t193) % 0.35/0.67 (assume-push @p345 @t140) % 0.35/0.67 (assume-push @p346 @t147) % 0.35/0.67 (assume-push @p347 @t156) % 0.35/0.67 (assume-push @p348 @t181) % 0.35/0.67 (assume-push @p349 @t185) % 0.35/0.67 (assume-push @p350 @t189) % 0.35/0.67 (assume-push @p351 @t191) % 0.35/0.67 (step @p310 :rule symm :premises (@p195)) % 0.35/0.67 (step @p311 :rule refl :args (@t117)) % 0.35/0.67 (step @p312 :rule cong :premises (@p155 @p311) :args (@t184)) % 0.35/0.67 (step @p313 :rule symm :premises (@p286)) % 0.35/0.67 (step @p314 :rule symm :premises (@p174)) % 0.35/0.67 (step @p315 :rule refl :args (@t116)) % 0.35/0.67 (step @p316 :rule cong :premises (@p315 @p314) :args (@t154)) % 0.35/0.67 (step @p317 :rule symm :premises (@p301)) % 0.35/0.67 (step @p318 :rule refl :args (@t121)) % 0.35/0.67 (step @p319 :rule cong :premises (@p155 @p318) :args (@t180)) % 0.35/0.67 (step @p320 :rule symm :premises (@p282)) % 0.35/0.67 (step @p321 :rule trans :premises (@p320 @p319 @p317 @p263 @p316)) % 0.35/0.67 (step @p322 :rule cong :premises (@p315 @p321) :args (@t188)) % 0.35/0.67 (step @p323 :rule trans :premises (@p297 @p322 @p313 @p312 @p310)) % 0.35/0.67 (step-pop @p352 :rule scope :premises (@p323)) % 0.35/0.67 (step-pop @p353 :rule scope :premises (@p352)) % 0.35/0.67 (step-pop @p354 :rule scope :premises (@p353)) % 0.35/0.67 (step-pop @p355 :rule scope :premises (@p354)) % 0.35/0.67 (step-pop @p356 :rule scope :premises (@p355)) % 0.35/0.67 (step-pop @p357 :rule scope :premises (@p356)) % 0.35/0.67 (step-pop @p358 :rule scope :premises (@p357)) % 0.35/0.67 (step-pop @p359 :rule scope :premises (@p358)) % 0.35/0.67 (step @p324 :rule process_scope :premises (@p359) :args (@t122)) % 0.35/0.67 (step @p333 :rule implies_elim :premises (@p324)) % 0.35/0.67 (step @p334 :rule cnf_and_neg :args (@t194)) % 0.35/0.67 (step @p335 :rule resolution :premises (@p334 @p333) :args (true @t194)) % 0.35/0.67 (step @p336 :rule reordering :premises (@p335) :args ((or @t122 (not @t193) (not @t140) (not @t147) (not @t156) (not @t181) (not @t185) (not @t189) (not @t191)))) % 0.35/0.67 (step @p337 false :rule chain_m_resolution :premises (@p336 @p301 @p297 @p286 @p282 @p263 @p195 @p174 @p155 @p151) :args (false (@list false false false false false false false false true) (@list @t191 @t189 @t185 @t181 @t156 @t147 @t140 @t193 @t122))) % 0.35/0.67 ) % 0.35/0.67 % SZS output end Proof % 0.35/0.67 % cvc5 exiting %------------------------------------------------------------------------------