%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU203+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 : n006.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 08:50:56 AM UTC 2026 % Result : Theorem 157.86s 158.22s % Output : Proof 157.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU203+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n006.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 16:38:19 EDT 2026 % 0.17/0.36 % CPUTime : % 0.32/0.55 %----Proving TF0_NAR, FOF, or CNF % 157.86/158.22 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 157.86/158.22 --- Run --no-e-matching --full-saturate-quant at 6... % 157.86/158.22 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 157.86/158.22 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 157.86/158.22 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 157.86/158.22 --- Run --trigger-sel=max --full-saturate-quant at 15... % 157.86/158.22 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 157.86/158.22 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 157.86/158.22 --- Run --prenex-quant=none --full-saturate-quant at 30... % 157.86/158.22 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15... % 157.86/158.22 % SZS status Theorem % 157.86/158.22 % SZS output start Proof % 157.86/158.22 ( % 157.86/158.22 (declare-sort $$unsorted 0) % 157.86/158.22 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 157.86/158.22 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 157.86/158.22 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 157.86/158.22 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 157.86/158.22 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 157.86/158.22 (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted)) % 157.86/158.22 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 157.86/158.22 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 157.86/158.22 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 157.86/158.22 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 157.86/158.22 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 157.86/158.22 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 157.86/158.22 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 157.86/158.22 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 157.86/158.22 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 157.86/158.22 (declare-const tptp.empty (-> $$unsorted Bool)) % 157.86/158.22 (declare-const tptp.relation (-> $$unsorted Bool)) % 157.86/158.22 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 157.86/158.22 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 157.86/158.22 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 157.86/158.22 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 157.86/158.22 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 157.86/158.22 (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted)) % 157.86/158.22 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 157.86/158.22 (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted)) % 157.86/158.22 (declare-const tptp.empty_set $$unsorted) % 157.86/158.22 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 157.86/158.22 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 157.86/158.22 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 157.86/158.22 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 157.86/158.22 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 157.86/158.22 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 157.86/158.22 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 157.86/158.22 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 157.86/158.22 (define @t1 () (@var "A" $$unsorted)) % 157.86/158.22 (define @t2 () (@var "B" $$unsorted)) % 157.86/158.22 (define @t3 () (tptp.in @t2 @t1)) % 157.86/158.22 (define @t4 () (not @t3)) % 157.86/158.22 (define @t5 () (tptp.in @t1 @t2)) % 157.86/158.22 (define @t6 () (@list @t1 @t2)) % 157.86/158.22 (define @t7 () (tptp.proper_subset @t2 @t1)) % 157.86/158.22 (define @t8 () (tptp.proper_subset @t1 @t2)) % 157.86/158.22 (define @t9 () (tptp.relation @t1)) % 157.86/158.22 (define @t10 () (tptp.empty @t1)) % 157.86/158.22 (define @t11 () (@list @t1)) % 157.86/158.22 (define @t12 () (tptp.unordered_pair @t1 @t2)) % 157.86/158.22 (define @t13 () (tptp.set_union2 @t2 @t1)) % 157.86/158.22 (define @t14 () (tptp.set_union2 @t1 @t2)) % 157.86/158.22 (define @t15 () (tptp.set_intersection2 @t1 @t2)) % 157.86/158.22 (define @t16 () (@var "D" $$unsorted)) % 157.86/158.22 (define @t17 () (@var "C" $$unsorted)) % 157.86/158.22 (define @t18 () (tptp.in @t17 @t1)) % 157.86/158.22 (define @t19 () (tptp.ordered_pair @t17 @t16)) % 157.86/158.22 (define @t20 () (tptp.in @t19 @t2)) % 157.86/158.22 (define @t21 () (@list @t17 @t16)) % 157.86/158.22 (define @t22 () (tptp.identity_relation @t1)) % 157.86/158.22 (define @t23 () (tptp.relation @t2)) % 157.86/158.22 (define @t24 () (tptp.subset @t1 @t2)) % 157.86/158.22 (define @t25 () (= @t1 @t2)) % 157.86/158.22 (define @t26 () (@var "E" $$unsorted)) % 157.86/158.22 (define @t27 () (tptp.ordered_pair @t16 @t26)) % 157.86/158.22 (define @t28 () (tptp.in @t16 @t2)) % 157.86/158.22 (define @t29 () (tptp.in @t27 @t17)) % 157.86/158.22 (define @t30 () (@list @t16 @t26)) % 157.86/158.22 (define @t31 () (tptp.relation_dom_restriction @t1 @t2)) % 157.86/158.22 (define @t32 () (tptp.relation @t17)) % 157.86/158.22 (define @t33 () (@list @t2 @t17)) % 157.86/158.22 (define @t34 () (tptp.in @t26 @t1)) % 157.86/158.22 (define @t35 () (tptp.relation_rng_restriction @t1 @t2)) % 157.86/158.22 (define @t36 () (@list @t17)) % 157.86/158.22 (define @t37 () (tptp.in @t26 @t2)) % 157.86/158.22 (define @t38 () (tptp.ordered_pair @t26 @t16)) % 157.86/158.22 (define @t39 () (tptp.in @t38 @t1)) % 157.86/158.22 (define @t40 () (and @t39 @t37)) % 157.86/158.22 (define @t41 () (@list @t26)) % 157.86/158.22 (define @t42 () (exists @t41 @t40)) % 157.86/158.22 (define @t43 () (tptp.in @t16 @t17)) % 157.86/158.22 (define @t44 () (= @t43 @t42)) % 157.86/158.22 (define @t45 () (@list @t16)) % 157.86/158.22 (define @t46 () (forall @t45 @t44)) % 157.86/158.22 (define @t47 () (= @t17 (tptp.relation_image @t1 @t2))) % 157.86/158.22 (define @t48 () (= @t47 @t46)) % 157.86/158.22 (define @t49 () (forall @t33 @t48)) % 157.86/158.22 (define @t50 () (=> @t9 @t49)) % 157.86/158.22 (define @t51 () (forall @t11 @t50)) % 157.86/158.22 (define @t52 () (@list @t2)) % 157.86/158.22 (define @t53 () (= @t2 tptp.empty_set)) % 157.86/158.22 (define @t54 () (= @t2 (tptp.set_meet @t1))) % 157.86/158.22 (define @t55 () (= @t1 tptp.empty_set)) % 157.86/158.22 (define @t56 () (tptp.in @t17 @t16)) % 157.86/158.22 (define @t57 () (tptp.in @t16 @t1)) % 157.86/158.22 (define @t58 () (tptp.in @t17 @t2)) % 157.86/158.22 (define @t59 () (not @t55)) % 157.86/158.22 (define @t60 () (tptp.singleton @t1)) % 157.86/158.22 (define @t61 () (tptp.powerset @t1)) % 157.86/158.22 (define @t62 () (tptp.in @t19 @t1)) % 157.86/158.22 (define @t63 () (tptp.empty @t2)) % 157.86/158.22 (define @t64 () (tptp.element @t2 @t1)) % 157.86/158.22 (define @t65 () (not @t10)) % 157.86/158.22 (define @t66 () (@list @t1 @t2 @t17)) % 157.86/158.22 (define @t67 () (@var "F" $$unsorted)) % 157.86/158.22 (define @t68 () (tptp.cartesian_product2 @t1 @t2)) % 157.86/158.22 (define @t69 () (forall @t36 (=> @t18 @t58))) % 157.86/158.22 (define @t70 () (tptp.relation_dom @t1)) % 157.86/158.22 (define @t71 () (tptp.cast_to_subset @t1)) % 157.86/158.22 (define @t72 () (not @t28)) % 157.86/158.22 (define @t73 () (tptp.set_difference @t1 @t2)) % 157.86/158.22 (define @t74 () (tptp.in (tptp.ordered_pair @t16 @t17) @t1)) % 157.86/158.22 (define @t75 () (tptp.relation_rng @t1)) % 157.86/158.22 (define @t76 () (tptp.subset_complement @t1 @t2)) % 157.86/158.22 (define @t77 () (tptp.element @t2 @t61)) % 157.86/158.22 (define @t78 () (tptp.ordered_pair @t1 @t2)) % 157.86/158.22 (define @t79 () (tptp.relation_inverse @t1)) % 157.86/158.22 (define @t80 () (tptp.disjoint @t1 @t2)) % 157.86/158.22 (define @t81 () (tptp.relation_composition @t1 @t2)) % 157.86/158.22 (define @t82 () (tptp.complements_of_subsets @t1 @t2)) % 157.86/158.22 (define @t83 () (tptp.powerset @t61)) % 157.86/158.22 (define @t84 () (tptp.element @t2 @t83)) % 157.86/158.22 (define @t85 () (not @t25)) % 157.86/158.22 (define @t86 () (tptp.relation @t81)) % 157.86/158.22 (define @t87 () (and @t9 @t23)) % 157.86/158.22 (define @t88 () (tptp.union_of_subsets @t1 @t2)) % 157.86/158.22 (define @t89 () (tptp.meet_of_subsets @t1 @t2)) % 157.86/158.22 (define @t90 () (tptp.subset_difference @t1 @t2 @t17)) % 157.86/158.22 (define @t91 () (tptp.element @t17 @t61)) % 157.86/158.22 (define @t92 () (and @t77 @t91)) % 157.86/158.22 (define @t93 () (tptp.relation_composition @t2 @t1)) % 157.86/158.22 (define @t94 () (and @t10 @t23)) % 157.86/158.22 (define @t95 () (tptp.empty tptp.empty_set)) % 157.86/158.22 (define @t96 () (not @t63)) % 157.86/158.22 (define @t97 () (tptp.empty @t70)) % 157.86/158.22 (define @t98 () (and @t65 @t9)) % 157.86/158.22 (define @t99 () (tptp.empty @t75)) % 157.86/158.22 (define @t100 () (tptp.disjoint @t60 @t2)) % 157.86/158.22 (define @t101 () (tptp.singleton @t2)) % 157.86/158.22 (define @t102 () (tptp.union @t2)) % 157.86/158.22 (define @t103 () (tptp.in @t1 @t17)) % 157.86/158.22 (define @t104 () (@list @t1 @t2 @t17 @t16)) % 157.86/158.22 (define @t105 () (tptp.element @t1 (tptp.powerset @t2))) % 157.86/158.22 (define @t106 () (tptp.set_difference @t2 @t17)) % 157.86/158.22 (define @t107 () (= @t1 @t17)) % 157.86/158.22 (define @t108 () (tptp.relation_rng @t17)) % 157.86/158.22 (define @t109 () (tptp.relation_rng @t35)) % 157.86/158.22 (define @t110 () (tptp.relation_rng @t2)) % 157.86/158.22 (define @t111 () (tptp.cartesian_product2 @t1 @t17)) % 157.86/158.22 (define @t112 () (not @t58)) % 157.86/158.22 (define @t113 () (tptp.subset @t17 @t2)) % 157.86/158.22 (define @t114 () (forall @t36 (not (and @t113 (not (tptp.are_equipotent @t17 @t2)) @t112)))) % 157.86/158.22 (define @t115 () (tptp.powerset @t17)) % 157.86/158.22 (define @t116 () (forall @t21 (=> (and @t58 (tptp.subset @t16 @t17)) @t28))) % 157.86/158.22 (define @t117 () (tptp.relation_dom_restriction @t17 @t2)) % 157.86/158.22 (define @t118 () (tptp.in (tptp.ordered_pair @t16 @t1) @t17)) % 157.86/158.22 (define @t119 () (tptp.relation_dom @t17)) % 157.86/158.22 (define @t120 () (tptp.in @t16 @t119)) % 157.86/158.22 (define @t121 () (and @t120 @t118 @t28)) % 157.86/158.22 (define @t122 () (exists @t45 @t121)) % 157.86/158.22 (define @t123 () (tptp.in @t1 (tptp.relation_image @t17 @t2))) % 157.86/158.22 (define @t124 () (= @t123 @t122)) % 157.86/158.22 (define @t125 () (=> @t32 @t124)) % 157.86/158.22 (define @t126 () (forall @t66 @t125)) % 157.86/158.22 (define @t127 () (not @t126)) % 157.86/158.22 (define @t128 () (tptp.set_intersection2 @t2 @t17)) % 157.86/158.22 (define @t129 () (tptp.subset @t1 @t17)) % 157.86/158.22 (define @t130 () (tptp.element @t1 @t2)) % 157.86/158.22 (define @t131 () (tptp.in @t1 @t119)) % 157.86/158.22 (define @t132 () (and @t131 (tptp.in @t2 @t108))) % 157.86/158.22 (define @t133 () (tptp.in @t78 @t17)) % 157.86/158.22 (define @t134 () (=> @t133 @t132)) % 157.86/158.22 (define @t135 () (forall @t66 (=> @t32 @t134))) % 157.86/158.22 (define @t136 () (tptp.relation_dom @t2)) % 157.86/158.22 (define @t137 () (tptp.relation_field @t17)) % 157.86/158.22 (define @t138 () (tptp.in @t2 @t17)) % 157.86/158.22 (define @t139 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 157.86/158.22 (define @t140 () (and @t18 @t58)) % 157.86/158.22 (define @t141 () (not @t80)) % 157.86/158.22 (define @t142 () (tptp.subset_complement @t1 @t17)) % 157.86/158.22 (define @t143 () (tptp.disjoint @t2 @t17)) % 157.86/158.22 (define @t144 () (tptp.relation_dom @t81)) % 157.86/158.22 (define @t145 () (not @t53)) % 157.86/158.22 (define @t146 () (tptp.element @t2 @t115)) % 157.86/158.22 (define @t147 () (tptp.in @t17 @t15)) % 157.86/158.22 (define @t148 () (= @t75 tptp.empty_set)) % 157.86/158.22 (define @t149 () (= @t70 tptp.empty_set)) % 157.86/158.22 (define @t150 () (tptp.relation_dom_restriction @t2 @t1)) % 157.86/158.22 (define @t151 () (= @t60 (tptp.unordered_pair @t2 @t17))) % 157.86/158.22 (define @t152 () (@var "BOUND_VARIABLE_8462" $$unsorted)) % 157.86/158.22 (define @t153 () (not @t39)) % 157.86/158.22 (define @t154 () (@var "BOUND_VARIABLE_8464" $$unsorted)) % 157.86/158.22 (define @t155 () (= (= @t154 (tptp.relation_image @t1 @t152)) (forall @t45 (= (tptp.in @t16 @t154) (not (forall @t41 (or @t153 (not (tptp.in @t26 @t152))))))))) % 157.86/158.22 (define @t156 () (not @t9)) % 157.86/158.22 (define @t157 () (or @t156 @t155)) % 157.86/158.22 (define @t158 () (forall (@list @t1 @t152 @t154) @t157)) % 157.86/158.22 (define @t159 () (@list @t152 @t154)) % 157.86/158.22 (define @t160 () (forall @t159 @t157)) % 157.86/158.22 (define @t161 () (forall @t159 @t155)) % 157.86/158.22 (define @t162 () (or @t156 @t161)) % 157.86/158.22 (define @t163 () (forall @t33 (= @t47 (forall @t45 (= @t43 (not (forall @t41 (or @t153 (not @t37))))))))) % 157.86/158.22 (define @t164 () (forall @t41 (not @t40))) % 157.86/158.22 (define @t165 () (not @t164)) % 157.86/158.22 (define @t166 () (not @t118)) % 157.86/158.22 (define @t167 () (not @t120)) % 157.86/158.22 (define @t168 () (or @t167 @t166 @t72)) % 157.86/158.22 (define @t169 () (= @t123 (not (forall @t45 @t168)))) % 157.86/158.22 (define @t170 () (not @t32)) % 157.86/158.22 (define @t171 () (forall @t66 (or @t170 @t169))) % 157.86/158.22 (define @t172 () (@quantifiers_skolemize @t171 1)) % 157.86/158.22 (define @t173 () (not (tptp.in @t26 @t172))) % 157.86/158.22 (define @t174 () (@quantifiers_skolemize @t171 2)) % 157.86/158.22 (define @t175 () (tptp.relation_image @t174 @t172)) % 157.86/158.22 (define @t176 () (forall @t45 (= (tptp.in @t16 @t175) (not (forall @t41 (or (not (tptp.in @t38 @t174)) @t173)))))) % 157.86/158.22 (define @t177 () (= (= @t175 @t175) @t176)) % 157.86/158.22 (define @t178 () (tptp.relation @t174)) % 157.86/158.22 (define @t179 () (not @t178)) % 157.86/158.22 (define @t180 () (or @t179 @t177)) % 157.86/158.22 (define @t181 () (or @t179 @t176)) % 157.86/158.22 (define @t182 () (forall @t45 (not @t121))) % 157.86/158.22 (define @t183 () (not @t182)) % 157.86/158.22 (define @t184 () (@quantifiers_skolemize @t171 0)) % 157.86/158.22 (define @t185 () (tptp.relation_dom @t174)) % 157.86/158.22 (define @t186 () (forall @t45 (or (not (tptp.in @t16 @t185)) (not (tptp.in (tptp.ordered_pair @t16 @t184) @t174)) (not (tptp.in @t16 @t172))))) % 157.86/158.22 (define @t187 () (not @t186)) % 157.86/158.22 (define @t188 () (tptp.in @t184 @t175)) % 157.86/158.22 (define @t189 () (= @t188 @t187)) % 157.86/158.22 (define @t190 () (or @t179 @t189)) % 157.86/158.22 (define @t191 () (@list true)) % 157.86/158.22 (define @t192 () (@list @t190)) % 157.86/158.22 (define @t193 () (@list false false)) % 157.86/158.22 (define @t194 () (not @t188)) % 157.86/158.22 (define @t195 () (not @t187)) % 157.86/158.22 (define @t196 () (forall @t41 (or (not (tptp.in (tptp.ordered_pair @t26 @t184) @t174)) @t173))) % 157.86/158.22 (define @t197 () (not @t196)) % 157.86/158.22 (define @t198 () (= @t188 @t197)) % 157.86/158.22 (define @t199 () (not @t198)) % 157.86/158.22 (define @t200 () (@quantifiers_skolemize @t196 0)) % 157.86/158.22 (define @t201 () (tptp.in @t200 @t172)) % 157.86/158.22 (define @t202 () (not @t201)) % 157.86/158.22 (define @t203 () (tptp.in (tptp.ordered_pair @t200 @t184) @t174)) % 157.86/158.22 (define @t204 () (not @t203)) % 157.86/158.22 (define @t205 () (tptp.in @t200 @t185)) % 157.86/158.22 (define @t206 () (not @t205)) % 157.86/158.22 (define @t207 () (or @t206 @t204 @t202)) % 157.86/158.22 (define @t208 () (or @t204 @t202)) % 157.86/158.22 (define @t209 () (not @t208)) % 157.86/158.22 (define @t210 () (not @t197)) % 157.86/158.22 (define @t211 () (not @t133)) % 157.86/158.22 (define @t212 () (and @t205 (tptp.in @t184 (tptp.relation_rng @t174)))) % 157.86/158.22 (define @t213 () (or @t179 @t204 @t212)) % 157.86/158.22 (define @t214 () (@list true false)) % 157.86/158.22 (define @t215 () (@quantifiers_skolemize @t186 0)) % 157.86/158.22 (define @t216 () (tptp.in @t215 @t172)) % 157.86/158.22 (define @t217 () (not @t216)) % 157.86/158.22 (define @t218 () (tptp.in (tptp.ordered_pair @t215 @t184) @t174)) % 157.86/158.22 (define @t219 () (not @t218)) % 157.86/158.22 (define @t220 () (or (not (tptp.in @t215 @t185)) @t219 @t217)) % 157.86/158.22 (define @t221 () (not @t220)) % 157.86/158.22 (define @t222 () (@list @t220)) % 157.86/158.22 (define @t223 () (or @t219 @t217)) % 157.86/158.22 (define @t224 () (not @t223)) % 157.86/158.22 (assume @p1 (forall @t6 (=> @t5 @t4))) % 157.86/158.22 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 157.86/158.22 (assume @p3 (forall @t11 (=> @t10 @t9))) % 157.86/158.22 (assume @p4 (forall @t6 (= @t12 (tptp.unordered_pair @t2 @t1)))) % 157.86/158.22 (assume @p5 (forall @t6 (= @t14 @t13))) % 157.86/158.22 (assume @p6 (forall @t6 (= @t15 (tptp.set_intersection2 @t2 @t1)))) % 157.86/158.22 (assume @p7 (forall @t6 (=> @t23 (= (= @t2 @t22) (forall @t21 (= @t20 (and @t18 (= @t17 @t16)))))))) % 157.86/158.22 (assume @p8 (forall @t6 (= @t25 (and @t24 (tptp.subset @t2 @t1))))) % 157.86/158.22 (assume @p9 (forall @t11 (=> @t9 (forall @t33 (=> @t32 (= (= @t17 @t31) (forall @t30 (= @t29 (and @t28 (tptp.in @t27 @t1)))))))))) % 157.86/158.22 (assume @p10 (forall @t6 (=> @t23 (forall @t36 (=> @t32 (= (= @t17 @t35) (forall @t30 (= @t29 (and @t34 (tptp.in @t27 @t2)))))))))) % 157.86/158.22 (assume @p11 @t51) % 157.86/158.22 (assume @p12 (forall @t11 (= @t9 (forall @t52 (not (and @t3 (forall @t21 (not (= @t2 @t19))))))))) % 157.86/158.22 (assume @p13 (forall @t6 (and (=> @t59 (= @t54 (forall @t36 (= @t58 (forall @t45 (=> @t57 @t56)))))) (=> @t55 (= @t54 @t53))))) % 157.86/158.22 (assume @p14 (forall @t6 (= (= @t2 @t60) (forall @t36 (= @t58 (= @t17 @t1)))))) % 157.86/158.22 (assume @p15 (forall @t11 (= @t55 (forall @t52 @t4)))) % 157.86/158.22 (assume @p16 (forall @t6 (= (= @t2 @t61) (forall @t36 (= @t58 (tptp.subset @t17 @t1)))))) % 157.86/158.22 (assume @p17 (forall @t11 (=> @t9 (forall @t52 (=> @t23 (= @t25 (forall @t21 (= @t62 @t20)))))))) % 157.86/158.22 (assume @p18 (forall @t6 (and (=> @t65 (= @t64 @t3)) (=> @t10 (= @t64 @t63))))) % 157.86/158.22 (assume @p19 (forall @t66 (= (= @t17 @t12) (forall @t45 (= @t43 (or (= @t16 @t1) (= @t16 @t2))))))) % 157.86/158.22 (assume @p20 (forall @t66 (= (= @t17 @t14) (forall @t45 (= @t43 (or @t57 @t28)))))) % 157.86/158.22 (assume @p21 (forall @t66 (= (= @t17 @t68) (forall @t45 (= @t43 (exists (@list @t26 @t67) (and @t34 (tptp.in @t67 @t2) (= @t16 (tptp.ordered_pair @t26 @t67))))))))) % 157.86/158.22 (assume @p22 (forall @t11 (=> @t9 (forall @t52 (=> @t23 (= @t24 (forall @t21 (=> @t62 @t20)))))))) % 157.86/158.22 (assume @p23 (forall @t6 (= @t24 @t69))) % 157.86/158.22 (assume @p24 (forall @t66 (= (= @t17 @t15) (forall @t45 (= @t43 (and @t57 @t28)))))) % 157.86/158.22 (assume @p25 (forall @t11 (=> @t9 (forall @t52 (= (= @t2 @t70) (forall @t36 (= @t58 (exists @t45 @t62)))))))) % 157.86/158.22 (assume @p26 (forall @t11 (= @t71 @t1))) % 157.86/158.22 (assume @p27 (forall @t6 (= (= @t2 (tptp.union @t1)) (forall @t36 (= @t58 (exists @t45 (and @t56 @t57))))))) % 157.86/158.22 (assume @p28 (forall @t66 (= (= @t17 @t73) (forall @t45 (= @t43 (and @t57 @t72)))))) % 157.86/158.22 (assume @p29 (forall @t11 (=> @t9 (forall @t52 (= (= @t2 @t75) (forall @t36 (= @t58 (exists @t45 @t74)))))))) % 157.86/158.22 (assume @p30 (forall @t6 (=> @t77 (= @t76 @t73)))) % 157.86/158.22 (assume @p31 (forall @t6 (= @t78 (tptp.unordered_pair @t12 @t60)))) % 157.86/158.22 (assume @p32 (forall @t11 (=> @t9 (= (tptp.relation_field @t1) (tptp.set_union2 @t70 @t75))))) % 157.86/158.22 (assume @p33 (forall @t11 (=> @t9 (forall @t52 (=> @t23 (= (= @t2 @t79) (forall @t21 (= @t20 @t74)))))))) % 157.86/158.22 (assume @p34 (forall @t6 (= @t80 (= @t15 tptp.empty_set)))) % 157.86/158.22 (assume @p35 (forall @t11 (=> @t9 (forall @t52 (=> @t23 (forall @t36 (=> @t32 (= (= @t17 @t81) (forall @t30 (= @t29 (exists (@list @t67) (and (tptp.in (tptp.ordered_pair @t16 @t67) @t1) (tptp.in (tptp.ordered_pair @t67 @t26) @t2))))))))))))) % 157.86/158.22 (assume @p36 (forall @t6 (=> @t84 (forall @t36 (=> (tptp.element @t17 @t83) (= (= @t17 @t82) (forall @t45 (=> (tptp.element @t16 @t61) (= @t43 (tptp.in (tptp.subset_complement @t1 @t16) @t2)))))))))) % 157.86/158.22 (assume @p37 (forall @t6 (= @t8 (and @t24 @t85)))) % 157.86/158.22 (assume @p38 true) % 157.86/158.22 (assume @p39 (forall @t11 (tptp.element @t71 @t61))) % 157.86/158.22 (assume @p40 (forall @t6 (=> @t77 (tptp.element @t76 @t61)))) % 157.86/158.22 (assume @p41 (forall @t11 (=> @t9 (tptp.relation @t79)))) % 157.86/158.22 (assume @p42 (forall @t6 (=> @t87 @t86))) % 157.86/158.22 (assume @p43 (forall @t6 (=> @t84 (tptp.element @t88 @t61)))) % 157.86/158.22 (assume @p44 (forall @t11 (tptp.relation @t22))) % 157.86/158.22 (assume @p45 (forall @t6 (=> @t84 (tptp.element @t89 @t61)))) % 157.86/158.22 (assume @p46 (forall @t66 (=> @t92 (tptp.element @t90 @t61)))) % 157.86/158.22 (assume @p47 (forall @t6 (=> @t9 (tptp.relation @t31)))) % 157.86/158.22 (assume @p48 (forall @t6 (=> @t84 (tptp.element @t82 @t83)))) % 157.86/158.22 (assume @p49 (forall @t6 (=> @t23 (tptp.relation @t35)))) % 157.86/158.22 (assume @p50 (forall @t11 (exists @t52 @t64))) % 157.86/158.22 (assume @p51 (forall @t6 (=> @t94 (and (tptp.empty @t93) (tptp.relation @t93))))) % 157.86/158.22 (assume @p52 (forall @t6 (=> @t87 (tptp.relation @t15)))) % 157.86/158.22 (assume @p53 (forall @t11 (not (tptp.empty @t61)))) % 157.86/158.22 (assume @p54 @t95) % 157.86/158.22 (assume @p55 (forall @t6 (not (tptp.empty @t78)))) % 157.86/158.22 (assume @p56 (forall @t6 (=> @t87 (tptp.relation @t14)))) % 157.86/158.22 (assume @p57 (forall @t11 (not (tptp.empty @t60)))) % 157.86/158.22 (assume @p58 (forall @t6 (=> @t65 (not (tptp.empty @t14))))) % 157.86/158.22 (assume @p59 (forall @t6 (not (tptp.empty @t12)))) % 157.86/158.22 (assume @p60 (forall @t6 (=> @t65 (not (tptp.empty @t13))))) % 157.86/158.22 (assume @p61 (and @t95 (tptp.relation tptp.empty_set))) % 157.86/158.22 (assume @p62 (forall @t6 (=> (and @t65 @t96) (not (tptp.empty @t68))))) % 157.86/158.22 (assume @p63 (forall @t11 (=> @t98 (not @t97)))) % 157.86/158.22 (assume @p64 (forall @t11 (=> @t98 (not @t99)))) % 157.86/158.22 (assume @p65 (forall @t11 (=> @t10 (and @t97 (tptp.relation @t70))))) % 157.86/158.22 (assume @p66 (forall @t11 (=> @t10 (and @t99 (tptp.relation @t75))))) % 157.86/158.22 (assume @p67 (forall @t6 (=> @t94 (and (tptp.empty @t81) @t86)))) % 157.86/158.22 (assume @p68 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 157.86/158.22 (assume @p69 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 157.86/158.22 (assume @p70 (forall @t6 (=> @t77 (= (tptp.subset_complement @t1 @t76) @t2)))) % 157.86/158.22 (assume @p71 (forall @t11 (=> @t9 (= (tptp.relation_inverse @t79) @t1)))) % 157.86/158.22 (assume @p72 (forall @t6 (=> @t84 (= (tptp.complements_of_subsets @t1 @t82) @t2)))) % 157.86/158.22 (assume @p73 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 157.86/158.22 (assume @p74 (forall @t11 (not (= @t60 tptp.empty_set)))) % 157.86/158.22 (assume @p75 (forall @t6 (=> @t5 (= (tptp.set_union2 @t60 @t2) @t2)))) % 157.86/158.22 (assume @p76 (forall @t6 (not (and @t100 @t5)))) % 157.86/158.22 (assume @p77 (forall @t6 (=> (not @t5) @t100))) % 157.86/158.22 (assume @p78 (forall @t6 (= (tptp.subset @t60 @t2) @t5))) % 157.86/158.22 (assume @p79 (forall @t6 (= (= @t73 tptp.empty_set) @t24))) % 157.86/158.22 (assume @p80 (forall @t6 (=> @t77 (forall @t36 (=> @t58 @t18))))) % 157.86/158.22 (assume @p81 (forall @t66 (=> @t24 (or @t18 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t17))))))) % 157.86/158.22 (assume @p82 (forall @t6 (= (tptp.subset @t1 @t101) (or @t55 (= @t1 @t101))))) % 157.86/158.22 (assume @p83 (forall @t6 (=> @t5 (tptp.subset @t1 @t102)))) % 157.86/158.22 (assume @p84 (forall @t104 (= (tptp.in @t78 (tptp.cartesian_product2 @t17 @t16)) (and @t103 (tptp.in @t2 @t16))))) % 157.86/158.22 (assume @p85 (forall @t6 (=> @t69 @t105))) % 157.86/158.22 (assume @p86 (exists @t11 (and @t10 @t9))) % 157.86/158.22 (assume @p87 (forall @t11 (=> @t65 (exists @t52 (and @t77 @t96))))) % 157.86/158.22 (assume @p88 (exists @t11 @t10)) % 157.86/158.22 (assume @p89 (exists @t11 @t98)) % 157.86/158.22 (assume @p90 (forall @t11 (exists @t52 (and @t77 @t63)))) % 157.86/158.22 (assume @p91 (exists @t11 @t65)) % 157.86/158.22 (assume @p92 (forall @t6 (=> @t84 (= @t88 @t102)))) % 157.86/158.22 (assume @p93 (forall @t6 (=> @t84 (= @t89 (tptp.set_meet @t2))))) % 157.86/158.22 (assume @p94 (forall @t66 (=> @t92 (= @t90 @t106)))) % 157.86/158.22 (assume @p95 (forall @t6 (tptp.subset @t1 @t1))) % 157.86/158.22 (assume @p96 (forall @t6 (=> @t80 (tptp.disjoint @t2 @t1)))) % 157.86/158.22 (assume @p97 (forall @t104 (not (and (= @t12 (tptp.unordered_pair @t17 @t16)) (not @t107) (not (= @t1 @t16)))))) % 157.86/158.22 (assume @p98 (forall @t66 (=> @t32 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t17))) (and @t5 (tptp.in @t1 @t108)))))) % 157.86/158.22 (assume @p99 (forall @t6 (=> @t23 (tptp.subset @t109 @t1)))) % 157.86/158.22 (assume @p100 (forall @t6 (=> @t23 (tptp.subset @t35 @t2)))) % 157.86/158.22 (assume @p101 (forall @t6 (=> @t23 (tptp.subset @t109 @t110)))) % 157.86/158.22 (assume @p102 (forall @t66 (=> @t24 (and (tptp.subset @t111 (tptp.cartesian_product2 @t2 @t17)) (tptp.subset (tptp.cartesian_product2 @t17 @t1) (tptp.cartesian_product2 @t17 @t2)))))) % 157.86/158.22 (assume @p103 (forall @t6 (=> @t23 (= @t109 (tptp.set_intersection2 @t110 @t1))))) % 157.86/158.22 (assume @p104 (forall @t104 (=> (and @t24 (tptp.subset @t17 @t16)) (tptp.subset @t111 (tptp.cartesian_product2 @t2 @t16))))) % 157.86/158.22 (assume @p105 (forall @t6 (=> @t24 (= @t14 @t2)))) % 157.86/158.22 (assume @p106 (forall @t11 (exists @t52 (and @t5 @t116 (forall @t36 (=> @t58 (tptp.in @t115 @t2))) @t114)))) % 157.86/158.22 (assume @p107 (forall @t66 (=> @t32 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t17) @t2) (tptp.relation_rng_restriction @t1 @t117))))) % 157.86/158.22 (assume @p108 @t127) % 157.86/158.22 (assume @p109 (forall @t6 (tptp.subset @t15 @t1))) % 157.86/158.22 (assume @p110 (forall @t66 (=> (and @t24 @t129) (tptp.subset @t1 @t128)))) % 157.86/158.22 (assume @p111 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 157.86/158.22 (assume @p112 (forall @t6 (=> @t5 @t130))) % 157.86/158.22 (assume @p113 (forall @t66 (=> (and @t24 (tptp.subset @t2 @t17)) @t129))) % 157.86/158.22 (assume @p114 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 157.86/158.22 (assume @p115 @t135) % 157.86/158.22 (assume @p116 (forall @t11 (=> @t9 (tptp.subset @t1 (tptp.cartesian_product2 @t70 @t75))))) % 157.86/158.22 (assume @p117 (forall @t11 (=> @t9 (forall @t52 (=> @t23 (=> @t24 (and (tptp.subset @t70 @t136) (tptp.subset @t75 @t110)))))))) % 157.86/158.22 (assume @p118 (forall @t66 (=> @t24 (tptp.subset (tptp.set_intersection2 @t1 @t17) @t128)))) % 157.86/158.22 (assume @p119 (forall @t6 (=> @t24 (= @t15 @t1)))) % 157.86/158.22 (assume @p120 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 157.86/158.22 (assume @p121 (forall @t6 (=> @t130 (or @t63 @t5)))) % 157.86/158.22 (assume @p122 (forall @t6 (=> (forall @t36 (= @t18 @t58)) @t25))) % 157.86/158.22 (assume @p123 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 157.86/158.22 (assume @p124 (forall @t66 (=> @t32 (=> @t133 (and (tptp.in @t1 @t137) (tptp.in @t2 @t137)))))) % 157.86/158.22 (assume @p125 (forall @t66 (=> @t24 (tptp.subset (tptp.set_difference @t1 @t17) @t106)))) % 157.86/158.22 (assume @p126 (forall @t104 (=> (= @t78 @t19) (and @t107 (= @t2 @t16))))) % 157.86/158.22 (assume @p127 (forall @t6 (tptp.subset @t73 @t1))) % 157.86/158.22 (assume @p128 (forall @t11 (=> @t9 (and (= @t75 (tptp.relation_dom @t79)) (= @t70 (tptp.relation_rng @t79)))))) % 157.86/158.22 (assume @p129 (forall @t66 (= (tptp.subset @t12 @t17) (and @t103 @t138)))) % 157.86/158.22 (assume @p130 (forall @t6 (= @t139 @t14))) % 157.86/158.22 (assume @p131 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 157.86/158.22 (assume @p132 (forall @t6 (= @t105 @t24))) % 157.86/158.22 (assume @p133 (forall @t6 (and (not (and @t141 (forall @t36 (not @t140)))) (not (and (exists @t36 @t140) @t80))))) % 157.86/158.22 (assume @p134 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t55))) % 157.86/158.22 (assume @p135 (forall @t6 (= (tptp.set_difference @t14 @t2) @t73))) % 157.86/158.22 (assume @p136 (forall @t6 (=> @t77 (forall @t36 (=> @t91 (= @t143 (tptp.subset @t2 @t142))))))) % 157.86/158.22 (assume @p137 (forall @t11 (=> @t9 (forall @t52 (=> @t23 (tptp.subset @t144 @t70)))))) % 157.86/158.22 (assume @p138 (forall @t11 (=> @t9 (forall @t52 (=> @t23 (tptp.subset (tptp.relation_rng @t81) @t110)))))) % 157.86/158.22 (assume @p139 (forall @t6 (=> @t24 (= @t2 @t139)))) % 157.86/158.22 (assume @p140 (forall @t11 (=> @t9 (forall @t52 (=> @t23 (=> (tptp.subset @t75 @t136) (= @t144 @t70))))))) % 157.86/158.22 (assume @p141 (forall @t6 (=> @t84 (not (and @t145 (= @t82 tptp.empty_set)))))) % 157.86/158.22 (assume @p142 (forall @t11 (=> @t9 (forall @t52 (=> @t23 (=> (tptp.subset @t70 @t110) (= (tptp.relation_rng @t93) @t75))))))) % 157.86/158.22 (assume @p143 (forall @t6 (=> @t84 (=> @t145 (= (tptp.subset_difference @t1 @t71 @t88) (tptp.meet_of_subsets @t1 @t82)))))) % 157.86/158.22 (assume @p144 (forall @t6 (=> @t84 (=> @t145 (= (tptp.union_of_subsets @t1 @t82) (tptp.subset_difference @t1 @t71 @t89)))))) % 157.86/158.22 (assume @p145 (forall @t6 (= (tptp.set_difference @t1 @t73) @t15))) % 157.86/158.22 (assume @p146 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 157.86/158.22 (assume @p147 (forall @t66 (=> (and @t5 @t146) (tptp.element @t1 @t17)))) % 157.86/158.22 (assume @p148 (forall @t6 (and (not (and @t141 (forall @t36 (not @t147)))) (not (and (exists @t36 @t147) @t80))))) % 157.86/158.22 (assume @p149 (forall @t11 (=> @t59 (forall @t52 (=> @t77 (forall @t36 (=> (tptp.element @t17 @t1) (=> @t112 (tptp.in @t17 @t76))))))))) % 157.86/158.22 (assume @p150 (forall @t66 (=> @t91 (not (and (tptp.in @t2 @t142) @t138))))) % 157.86/158.22 (assume @p151 (forall @t11 (=> @t9 (=> (forall @t33 (not (tptp.in (tptp.ordered_pair @t2 @t17) @t1))) @t55)))) % 157.86/158.22 (assume @p152 (forall @t66 (not (and @t5 @t146 (tptp.empty @t17))))) % 157.86/158.22 (assume @p153 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set))) % 157.86/158.22 (assume @p154 (forall @t6 (not (and @t24 @t7)))) % 157.86/158.22 (assume @p155 (forall @t66 (=> (and @t24 @t143) (tptp.disjoint @t1 @t17)))) % 157.86/158.22 (assume @p156 (forall @t11 (=> @t9 (=> (or @t149 @t148) @t55)))) % 157.86/158.22 (assume @p157 (forall @t11 (=> @t9 (= @t149 @t148)))) % 157.86/158.22 (assume @p158 (forall @t6 (= (= (tptp.set_difference @t1 @t101) @t1) @t4))) % 157.86/158.22 (assume @p159 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t60))) % 157.86/158.22 (assume @p160 (forall @t11 (=> @t10 @t55))) % 157.86/158.22 (assume @p161 (forall @t6 (=> (tptp.subset @t60 @t101) @t25))) % 157.86/158.22 (assume @p162 (forall @t11 (and (= (tptp.relation_dom @t22) @t1) (= (tptp.relation_rng @t22) @t1)))) % 157.86/158.22 (assume @p163 (forall @t104 (=> (tptp.relation @t16) (= (tptp.in @t78 (tptp.relation_composition (tptp.identity_relation @t17) @t16)) (and @t103 (tptp.in @t78 @t16)))))) % 157.86/158.22 (assume @p164 (forall @t6 (not (and @t5 @t63)))) % 157.86/158.22 (assume @p165 (forall @t6 (tptp.subset @t1 @t14))) % 157.86/158.22 (assume @p166 (forall @t6 (= @t80 (= @t73 @t1)))) % 157.86/158.22 (assume @p167 (forall @t66 (=> @t32 (= (tptp.in @t1 (tptp.relation_dom @t117)) (and @t5 @t131))))) % 157.86/158.22 (assume @p168 (forall @t6 (=> @t23 (tptp.subset @t150 @t2)))) % 157.86/158.22 (assume @p169 (forall @t6 (not (and @t10 @t85 @t63)))) % 157.86/158.22 (assume @p170 (forall @t66 (=> (and @t24 @t113) (tptp.subset (tptp.set_union2 @t1 @t17) @t2)))) % 157.86/158.22 (assume @p171 (forall @t66 (=> @t151 @t25))) % 157.86/158.22 (assume @p172 (forall @t6 (=> @t23 (= (tptp.relation_dom @t150) (tptp.set_intersection2 @t136 @t1))))) % 157.86/158.22 (assume @p173 (forall @t6 (=> @t23 (= @t150 (tptp.relation_composition @t22 @t2))))) % 157.86/158.22 (assume @p174 (forall @t6 (=> @t23 (tptp.subset (tptp.relation_rng @t150) @t110)))) % 157.86/158.22 (assume @p175 (forall @t11 (= (tptp.union @t61) @t1))) % 157.86/158.22 (assume @p176 (forall @t11 (exists @t52 (and @t5 @t116 (forall @t36 (not (and @t58 (forall @t45 (not (and @t28 (forall @t41 (=> (tptp.subset @t26 @t17) (tptp.in @t26 @t16))))))))) @t114)))) % 157.86/158.22 (assume @p177 (forall @t66 (=> @t151 (= @t2 @t17)))) % 157.86/158.22 (step @p178 :rule quant-merge-prenex :args ((= (forall @t11 @t160) @t158))) % 157.86/158.22 (step @p179 :rule alpha_equiv :args (@t161 (@list @t152 @t154) (@list @t2 @t17))) % 157.86/158.22 (step @p180 :rule refl :args (@t156)) % 157.86/158.22 (step @p181 :rule nary_cong :premises (@p180 @p179) :args (@t162)) % 157.86/158.22 (step @p182 :rule quant-miniscope-or :args ((= @t160 @t162))) % 157.86/158.22 (step @p183 :rule trans :premises (@p182 @p181)) % 157.86/158.22 (step @p184 :rule symm :premises (@p183)) % 157.86/158.22 (step @p185 :rule cong :premises (@p184) :args ((forall @t11 (or @t156 @t163)))) % 157.86/158.22 (step @p186 :rule trans :premises (@p185 @p178)) % 157.86/158.22 (step @p187 :rule bool-impl-elim :args (@t9 @t163)) % 157.86/158.22 (step @p188 :rule cong :premises (@p187) :args ((forall @t11 (=> @t9 @t163)))) % 157.86/158.22 (step @p189 :rule trans :premises (@p188 @p186)) % 157.86/158.22 (step @p190 :rule bool-and-de-morgan :args (@t39 @t37 true)) % 157.86/158.22 (step @p191 :rule cong :premises (@p190) :args (@t164)) % 157.86/158.22 (step @p192 :rule cong :premises (@p191) :args (@t165)) % 157.86/158.22 (step @p193 :rule exists-elim :args ((= @t42 @t165))) % 157.86/158.22 (step @p194 :rule trans :premises (@p193 @p192)) % 157.86/158.22 (step @p195 :rule refl :args (@t43)) % 157.86/158.22 (step @p196 :rule cong :premises (@p195 @p194) :args (@t44)) % 157.86/158.22 (step @p197 :rule cong :premises (@p196) :args (@t46)) % 157.86/158.22 (step @p198 :rule refl :args (@t47)) % 157.86/158.22 (step @p199 :rule cong :premises (@p198 @p197) :args (@t48)) % 157.86/158.22 (step @p200 :rule cong :premises (@p199) :args (@t49)) % 157.86/158.22 (step @p201 :rule refl :args (@t9)) % 157.86/158.22 (step @p202 :rule cong :premises (@p201 @p200) :args (@t50)) % 157.86/158.22 (step @p203 :rule cong :premises (@p202) :args (@t51)) % 157.86/158.22 (step @p204 :rule trans :premises (@p203 @p189)) % 157.86/158.22 (step @p205 :rule eq_resolve :premises (@p11 @p204)) % 157.86/158.22 (step @p206 :rule bool-eq-true :args (@t176)) % 157.86/158.22 (step @p207 :rule eq-symm :args (true @t176)) % 157.86/158.22 (step @p208 :rule trans :premises (@p207 @p206)) % 157.86/158.22 (step @p209 :rule refl :args (@t176)) % 157.86/158.22 (step @p210 :rule eq-refl :args (@t175)) % 157.86/158.22 (step @p211 :rule cong :premises (@p210 @p209) :args (@t177)) % 157.86/158.22 (step @p212 :rule trans :premises (@p211 @p208)) % 157.86/158.22 (step @p213 :rule refl :args (@t179)) % 157.86/158.22 (step @p214 :rule nary_cong :premises (@p213 @p212) :args (@t180)) % 157.86/158.22 (step @p215 :rule refl :args (@t158)) % 157.86/158.22 (step @p216 :rule cong :premises (@p215 @p214) :args ((=> @t158 @t180))) % 157.86/158.22 (assume-push @p351 @t158) % 157.86/158.22 (step @p218 :rule instantiate :premises (@p205) :args ((@list @t174 @t172 @t175))) % 157.86/158.22 (step-pop @p352 :rule scope :premises (@p218)) % 157.86/158.22 (step @p219 :rule process_scope :premises (@p352) :args (@t180)) % 157.86/158.22 (step @p221 :rule eq_resolve :premises (@p219 @p216)) % 157.86/158.22 (step @p222 :rule implies_elim :premises (@p221)) % 157.86/158.22 (step @p223 :rule chain_m_resolution :premises (@p222 @p205) :args (@t181 (@list false) (@list @t158))) % 157.86/158.22 (step @p224 :rule bool-impl-elim :args (@t32 @t169)) % 157.86/158.22 (step @p225 :rule cong :premises (@p224) :args ((forall @t66 (=> @t32 @t169)))) % 157.86/158.22 (step @p226 :rule aci_norm :args ((= (or @t167 (or @t166 @t72)) @t168))) % 157.86/158.22 (step @p227 :rule bool-and-de-morgan :args (@t118 @t28 true)) % 157.86/158.22 (step @p228 :rule refl :args (@t167)) % 157.86/158.22 (step @p229 :rule nary_cong :premises (@p228 @p227) :args ((or @t167 (not (and @t118 @t28))))) % 157.86/158.22 (step @p230 :rule bool-and-de-morgan :args (@t120 @t118 (and @t28))) % 157.86/158.22 (step @p231 :rule trans :premises (@p230 @p229)) % 157.86/158.22 (step @p232 :rule trans :premises (@p231 @p226)) % 157.86/158.22 (step @p233 :rule cong :premises (@p232) :args (@t182)) % 157.86/158.22 (step @p234 :rule cong :premises (@p233) :args (@t183)) % 157.86/158.22 (step @p235 :rule exists-elim :args ((= @t122 @t183))) % 157.86/158.22 (step @p236 :rule trans :premises (@p235 @p234)) % 157.86/158.22 (step @p237 :rule refl :args (@t123)) % 157.86/158.22 (step @p238 :rule cong :premises (@p237 @p236) :args (@t124)) % 157.86/158.22 (step @p239 :rule refl :args (@t32)) % 157.86/158.22 (step @p240 :rule cong :premises (@p239 @p238) :args (@t125)) % 157.86/158.22 (step @p241 :rule cong :premises (@p240) :args (@t126)) % 157.86/158.22 (step @p242 :rule trans :premises (@p241 @p225)) % 157.86/158.22 (step @p243 :rule cong :premises (@p242) :args (@t127)) % 157.86/158.22 (step @p244 :rule eq_resolve :premises (@p108 @p243)) % 157.86/158.22 (step @p245 :rule skolemize :premises (@p244)) % 157.86/158.22 (step @p246 :rule bool-double-not-elim :args (@t178)) % 157.86/158.22 (step @p247 :rule refl :args (@t190)) % 157.86/158.22 (step @p248 :rule nary_cong :premises (@p247 @p246) :args ((or @t190 (not @t179)))) % 157.86/158.22 (step @p249 :rule cnf_or_neg :args (@t190 0)) % 157.86/158.22 (step @p250 :rule eq_resolve :premises (@p249 @p248)) % 157.86/158.22 (step @p251 :rule reordering :premises (@p250) :args ((or @t178 @t190))) % 157.86/158.22 (step @p252 :rule chain_m_resolution :premises (@p251 @p245) :args (@t178 @t191 @t192)) % 157.86/158.22 (step @p253 :rule cnf_or_pos :args (@t181)) % 157.86/158.22 (step @p254 :rule reordering :premises (@p253) :args ((or @t179 @t176 (not @t181)))) % 157.86/158.22 (step @p255 :rule chain_m_resolution :premises (@p254 @p252 @p223) :args (@t176 @t193 (@list @t178 @t181))) % 157.86/158.22 (step @p256 :rule instantiate :premises (@p255) :args ((@list @t184))) % 157.86/158.22 (step @p257 :rule cnf_or_neg :args (@t190 1)) % 157.86/158.22 (step @p258 :rule chain_m_resolution :premises (@p257 @p245) :args ((not @t189) @t191 @t192)) % 157.86/158.22 (step @p259 :rule bool-double-not-elim :args (@t186)) % 157.86/158.22 (step @p260 :rule refl :args (@t194)) % 157.86/158.22 (step @p261 :rule refl :args (@t189)) % 157.86/158.22 (step @p262 :rule nary_cong :premises (@p261 @p260 @p259) :args ((or @t189 @t194 @t195))) % 157.86/158.22 (step @p263 :rule cnf_equiv_neg2 :args (@t189)) % 157.86/158.22 (step @p264 :rule eq_resolve :premises (@p263 @p262)) % 157.86/158.22 (step @p265 :rule reordering :premises (@p264) :args ((or @t186 @t189 @t194))) % 157.86/158.22 (step @p266 :rule cnf_equiv_pos1 :args (@t198)) % 157.86/158.22 (step @p267 :rule reordering :premises (@p266) :args ((or @t194 @t197 @t199))) % 157.86/158.22 (assume-push @p353 @t186) % 157.86/158.22 (step @p269 :rule instantiate :premises (@p353) :args ((@list @t200))) % 157.86/158.22 (step-pop @p354 :rule scope :premises (@p269)) % 157.86/158.22 (step @p270 :rule process_scope :premises (@p354) :args (@t207)) % 157.86/158.22 (step @p272 :rule implies_elim :premises (@p270)) % 157.86/158.22 (step @p273 :rule refl :args (@t209)) % 157.86/158.22 (step @p274 :rule bool-double-not-elim :args (@t196)) % 157.86/158.22 (step @p275 :rule nary_cong :premises (@p274 @p273) :args ((or @t210 @t209))) % 157.86/158.22 (assume-push @p355 @t197) % 157.86/158.22 (step @p277 :rule skolemize :premises (@p355)) % 157.86/158.22 (step-pop @p356 :rule scope :premises (@p277)) % 157.86/158.22 (step @p278 :rule process_scope :premises (@p356) :args (@t209)) % 157.86/158.22 (step @p280 :rule implies_elim :premises (@p278)) % 157.86/158.22 (step @p281 :rule eq_resolve :premises (@p280 @p275)) % 157.86/158.22 (step @p282 :rule bool-double-not-elim :args (@t203)) % 157.86/158.22 (step @p283 :rule refl :args (@t208)) % 157.86/158.22 (step @p284 :rule nary_cong :premises (@p283 @p282) :args ((or @t208 (not @t204)))) % 157.86/158.22 (step @p285 :rule cnf_or_neg :args (@t208 0)) % 157.86/158.22 (step @p286 :rule eq_resolve :premises (@p285 @p284)) % 157.86/158.22 (step @p287 :rule reordering :premises (@p286) :args ((or @t203 @t208))) % 157.86/158.22 (step @p288 :rule bool-double-not-elim :args (@t201)) % 157.86/158.22 (step @p289 :rule nary_cong :premises (@p283 @p288) :args ((or @t208 (not @t202)))) % 157.86/158.22 (step @p290 :rule cnf_or_neg :args (@t208 1)) % 157.86/158.22 (step @p291 :rule eq_resolve :premises (@p290 @p289)) % 157.86/158.22 (step @p292 :rule reordering :premises (@p291) :args ((or @t201 @t208))) % 157.86/158.22 (step @p293 :rule aci_norm :args ((= (or @t170 (or @t211 @t132)) (or @t170 @t211 @t132)))) % 157.86/158.22 (step @p294 :rule bool-impl-elim :args (@t133 @t132)) % 157.86/158.23 (step @p295 :rule refl :args (@t170)) % 157.86/158.23 (step @p296 :rule nary_cong :premises (@p295 @p294) :args ((or @t170 @t134))) % 157.86/158.23 (step @p297 :rule trans :premises (@p296 @p293)) % 157.86/158.23 (step @p298 :rule bool-impl-elim :args (@t32 @t134)) % 157.86/158.23 (step @p299 :rule trans :premises (@p298 @p297)) % 157.86/158.23 (step @p300 :rule cong :premises (@p299) :args (@t135)) % 157.86/158.23 (step @p301 :rule eq_resolve :premises (@p115 @p300)) % 157.86/158.23 (step @p302 :rule instantiate :premises (@p301) :args ((@list @t200 @t184 @t174))) % 157.86/158.23 (step @p303 :rule cnf_or_pos :args (@t213)) % 157.86/158.23 (step @p304 :rule reordering :premises (@p303) :args ((or @t179 @t204 @t212 (not @t213)))) % 157.86/158.23 (step @p305 :rule cnf_or_pos :args (@t207)) % 157.86/158.23 (step @p306 :rule reordering :premises (@p305) :args ((or @t204 @t202 @t206 (not @t207)))) % 157.86/158.23 (step @p307 :rule cnf_and_pos :args (@t212 0)) % 157.86/158.23 (step @p308 :rule reordering :premises (@p307) :args ((or @t205 (not @t212)))) % 157.86/158.23 (step @p309 :rule chain_m_resolution :premises (@p308 @p306 @p304 @p302 @p252 @p292 @p287 @p281 @p272 @p267 @p256 @p265 @p258) :args (@t194 (@list true false false false false false true false true false false true) (@list @t205 @t212 @t213 @t178 @t201 @t203 @t208 @t207 @t196 @t198 @t186 @t189))) % 157.86/158.23 (step @p310 :rule refl :args (@t188)) % 157.86/158.23 (step @p311 :rule refl :args (@t199)) % 157.86/158.23 (step @p312 :rule nary_cong :premises (@p311 @p310 @p274) :args ((or @t199 @t188 @t210))) % 157.86/158.23 (step @p313 :rule cnf_equiv_pos2 :args (@t198)) % 157.86/158.23 (step @p314 :rule eq_resolve :premises (@p313 @p312)) % 157.86/158.23 (step @p315 :rule reordering :premises (@p314) :args ((or @t188 @t196 @t199))) % 157.86/158.23 (step @p316 :rule chain_m_resolution :premises (@p315 @p309 @p256) :args (@t196 @t214 (@list @t188 @t198))) % 157.86/158.23 (step @p317 :rule cnf_equiv_neg1 :args (@t189)) % 157.86/158.23 (step @p318 :rule reordering :premises (@p317) :args ((or @t188 @t187 @t189))) % 157.86/158.23 (step @p319 :rule chain_m_resolution :premises (@p318 @p309 @p258) :args (@t187 (@list true true) (@list @t188 @t189))) % 157.86/158.23 (step @p320 :rule refl :args (@t221)) % 157.86/158.23 (step @p321 :rule nary_cong :premises (@p259 @p320) :args ((or @t195 @t221))) % 157.86/158.23 (assume-push @p357 @t187) % 157.86/158.23 (step @p323 :rule skolemize :premises (@p357)) % 157.86/158.23 (step-pop @p358 :rule scope :premises (@p323)) % 157.86/158.23 (step @p324 :rule process_scope :premises (@p358) :args (@t221)) % 157.86/158.23 (step @p326 :rule implies_elim :premises (@p324)) % 157.86/158.23 (step @p327 :rule eq_resolve :premises (@p326 @p321)) % 157.86/158.23 (step @p328 :rule chain_m_resolution :premises (@p327 @p319) :args (@t221 @t191 (@list @t186))) % 157.86/158.23 (step @p329 :rule bool-double-not-elim :args (@t216)) % 157.86/158.23 (step @p330 :rule refl :args (@t220)) % 157.86/158.23 (step @p331 :rule nary_cong :premises (@p330 @p329) :args ((or @t220 (not @t217)))) % 157.86/158.23 (step @p332 :rule cnf_or_neg :args (@t220 2)) % 157.86/158.23 (step @p333 :rule eq_resolve :premises (@p332 @p331)) % 157.86/158.23 (step @p334 :rule reordering :premises (@p333) :args ((or @t216 @t220))) % 157.86/158.23 (step @p335 :rule chain_m_resolution :premises (@p334 @p328) :args (@t216 @t191 @t222)) % 157.86/158.23 (step @p336 :rule bool-double-not-elim :args (@t218)) % 157.86/158.23 (step @p337 :rule nary_cong :premises (@p330 @p336) :args ((or @t220 (not @t219)))) % 157.86/158.23 (step @p338 :rule cnf_or_neg :args (@t220 1)) % 157.86/158.23 (step @p339 :rule eq_resolve :premises (@p338 @p337)) % 157.86/158.23 (step @p340 :rule reordering :premises (@p339) :args ((or @t218 @t220))) % 157.86/158.23 (step @p341 :rule chain_m_resolution :premises (@p340 @p328) :args (@t218 @t191 @t222)) % 157.86/158.23 (step @p342 :rule cnf_or_pos :args (@t223)) % 157.86/158.23 (step @p343 :rule reordering :premises (@p342) :args ((or @t219 @t217 @t224))) % 157.86/158.23 (step @p344 :rule chain_m_resolution :premises (@p343 @p341 @p335) :args (@t224 @t193 (@list @t218 @t216))) % 157.86/158.23 (assume-push @p359 @t196) % 157.86/158.23 (step @p346 :rule instantiate :premises (@p359) :args ((@list @t215))) % 157.86/158.23 (step-pop @p360 :rule scope :premises (@p346)) % 157.86/158.23 (step @p347 :rule process_scope :premises (@p360) :args (@t223)) % 157.86/158.23 (step @p349 :rule implies_elim :premises (@p347)) % 157.86/158.23 (step @p350 false :rule chain_m_resolution :premises (@p349 @p344 @p316) :args (false @t214 (@list @t223 @t196))) % 157.86/158.23 ) % 157.86/158.23 % SZS output end Proof % 157.86/158.23 % cvc5 exiting %------------------------------------------------------------------------------