%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU382+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:51:34 AM UTC 2026 % Result : Theorem 34.26s 34.63s % Output : Proof 34.26s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU382+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.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 17:06:03 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 34.26/34.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 34.26/34.63 --- Run --no-e-matching --full-saturate-quant at 6... % 34.26/34.63 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 34.26/34.63 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 34.26/34.63 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 34.26/34.63 % SZS status Theorem % 34.26/34.63 % SZS output start Proof % 34.26/34.63 ( % 34.26/34.63 (declare-sort $$unsorted 0) % 34.26/34.63 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.boole_POSet (-> $$unsorted $$unsorted)) % 34.26/34.63 (declare-const tptp.reflexive (-> $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.transitive (-> $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.relation (-> $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 34.26/34.63 (declare-const tptp.distributive_relstr (-> $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.inclusion_order (-> $$unsorted $$unsorted)) % 34.26/34.63 (declare-const tptp.empty_carrier (-> $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.reflexive_relstr (-> $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.complete_relstr (-> $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.empty (-> $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.incl_POSet (-> $$unsorted $$unsorted)) % 34.26/34.63 (declare-const tptp.join_complete_relstr (-> $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.up_complete_relstr (-> $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.finite (-> $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.rel_str (-> $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.lower_bounded_relstr (-> $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.v1_yellow_3 (-> $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.upper_bounded_relstr (-> $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.heyting_relstr (-> $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 34.26/34.63 (declare-const tptp.with_infima_relstr (-> $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.with_suprema_relstr (-> $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.rel_str_of (-> $$unsorted $$unsorted $$unsorted)) % 34.26/34.63 (declare-const tptp.antisymmetric_relstr (-> $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 34.26/34.63 (declare-const tptp.transitive_relstr (-> $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.empty_set $$unsorted) % 34.26/34.63 (declare-const tptp.the_InternalRel (-> $$unsorted $$unsorted)) % 34.26/34.63 (declare-const tptp.boolean_relstr (-> $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.bounded_relstr (-> $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.strict_rel_str (-> $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.complemented_relstr (-> $$unsorted Bool)) % 34.26/34.63 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 34.26/34.63 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 34.26/34.63 (define @t1 () (@var "A" $$unsorted)) % 34.26/34.63 (define @t2 () (tptp.the_InternalRel @t1)) % 34.26/34.63 (define @t3 () (tptp.the_carrier @t1)) % 34.26/34.63 (define @t4 () (= @t1 (tptp.rel_str_of @t3 @t2))) % 34.26/34.63 (define @t5 () (tptp.strict_rel_str @t1)) % 34.26/34.63 (define @t6 () (=> @t5 @t4)) % 34.26/34.63 (define @t7 () (tptp.rel_str @t1)) % 34.26/34.63 (define @t8 () (@list @t1)) % 34.26/34.63 (define @t9 () (forall @t8 (=> @t7 @t6))) % 34.26/34.63 (define @t10 () (@var "B" $$unsorted)) % 34.26/34.63 (define @t11 () (tptp.in @t1 @t10)) % 34.26/34.63 (define @t12 () (@list @t1 @t10)) % 34.26/34.63 (define @t13 () (tptp.join_complete_relstr @t1)) % 34.26/34.63 (define @t14 () (tptp.up_complete_relstr @t1)) % 34.26/34.63 (define @t15 () (tptp.reflexive_relstr @t1)) % 34.26/34.63 (define @t16 () (tptp.empty_carrier @t1)) % 34.26/34.63 (define @t17 () (not @t16)) % 34.26/34.63 (define @t18 () (tptp.complete_relstr @t1)) % 34.26/34.63 (define @t19 () (tptp.heyting_relstr @t1)) % 34.26/34.63 (define @t20 () (tptp.distributive_relstr @t1)) % 34.26/34.63 (define @t21 () (tptp.upper_bounded_relstr @t1)) % 34.26/34.63 (define @t22 () (tptp.with_infima_relstr @t1)) % 34.26/34.63 (define @t23 () (tptp.with_suprema_relstr @t1)) % 34.26/34.63 (define @t24 () (tptp.antisymmetric_relstr @t1)) % 34.26/34.63 (define @t25 () (tptp.transitive_relstr @t1)) % 34.26/34.63 (define @t26 () (tptp.boolean_relstr @t1)) % 34.26/34.63 (define @t27 () (and @t17 @t26)) % 34.26/34.63 (define @t28 () (tptp.lower_bounded_relstr @t1)) % 34.26/34.63 (define @t29 () (tptp.bounded_relstr @t1)) % 34.26/34.63 (define @t30 () (tptp.finite @t1)) % 34.26/34.63 (define @t31 () (tptp.empty @t1)) % 34.26/34.63 (define @t32 () (and @t17 @t18)) % 34.26/34.63 (define @t33 () (tptp.v1_yellow_3 @t1)) % 34.26/34.63 (define @t34 () (tptp.finite @t10)) % 34.26/34.63 (define @t35 () (tptp.powerset @t1)) % 34.26/34.63 (define @t36 () (tptp.element @t10 @t35)) % 34.26/34.63 (define @t37 () (@list @t10)) % 34.26/34.63 (define @t38 () (not @t33)) % 34.26/34.63 (define @t39 () (and @t28 @t21)) % 34.26/34.63 (define @t40 () (and @t17 @t19)) % 34.26/34.63 (define @t41 () (tptp.complemented_relstr @t1)) % 34.26/34.63 (define @t42 () (tptp.inclusion_order @t1)) % 34.26/34.63 (define @t43 () (tptp.incl_POSet @t1)) % 34.26/34.63 (define @t44 () (tptp.rel_str_of @t1 @t10)) % 34.26/34.63 (define @t45 () (tptp.relation_of2 @t10 @t1 @t1)) % 34.26/34.63 (define @t46 () (tptp.inclusion_relation @t1)) % 34.26/34.63 (define @t47 () (tptp.strict_rel_str @t43)) % 34.26/34.63 (define @t48 () (tptp.boole_POSet @t1)) % 34.26/34.63 (define @t49 () (tptp.rel_str @t48)) % 34.26/34.63 (define @t50 () (tptp.strict_rel_str @t48)) % 34.26/34.63 (define @t51 () (forall @t8 (and @t50 @t49))) % 34.26/34.63 (define @t52 () (tptp.one_sorted_str @t1)) % 34.26/34.63 (define @t53 () (tptp.cartesian_product2 @t1 @t10)) % 34.26/34.63 (define @t54 () (@var "C" $$unsorted)) % 34.26/34.63 (define @t55 () (tptp.relation_of2_as_subset @t54 @t1 @t10)) % 34.26/34.63 (define @t56 () (@list @t1 @t10 @t54)) % 34.26/34.63 (define @t57 () (tptp.relation_of2_as_subset @t2 @t3 @t3)) % 34.26/34.63 (define @t58 () (forall @t8 (=> @t7 @t57))) % 34.26/34.63 (define @t59 () (tptp.relation_of2 @t54 @t1 @t10)) % 34.26/34.63 (define @t60 () (@list @t54)) % 34.26/34.63 (define @t61 () (and @t17 @t52)) % 34.26/34.63 (define @t62 () (tptp.distributive_relstr @t48)) % 34.26/34.63 (define @t63 () (tptp.join_complete_relstr @t48)) % 34.26/34.63 (define @t64 () (tptp.up_complete_relstr @t48)) % 34.26/34.63 (define @t65 () (tptp.bounded_relstr @t48)) % 34.26/34.63 (define @t66 () (tptp.upper_bounded_relstr @t48)) % 34.26/34.63 (define @t67 () (tptp.lower_bounded_relstr @t48)) % 34.26/34.63 (define @t68 () (tptp.complete_relstr @t48)) % 34.26/34.63 (define @t69 () (tptp.with_infima_relstr @t48)) % 34.26/34.63 (define @t70 () (tptp.with_suprema_relstr @t48)) % 34.26/34.63 (define @t71 () (tptp.antisymmetric_relstr @t48)) % 34.26/34.63 (define @t72 () (tptp.transitive_relstr @t48)) % 34.26/34.63 (define @t73 () (tptp.reflexive_relstr @t48)) % 34.26/34.63 (define @t74 () (not (tptp.empty_carrier @t48))) % 34.26/34.63 (define @t75 () (tptp.empty @t10)) % 34.26/34.63 (define @t76 () (not @t75)) % 34.26/34.63 (define @t77 () (not @t31)) % 34.26/34.63 (define @t78 () (tptp.antisymmetric_relstr @t43)) % 34.26/34.63 (define @t79 () (tptp.transitive_relstr @t43)) % 34.26/34.63 (define @t80 () (tptp.reflexive_relstr @t43)) % 34.26/34.63 (define @t81 () (@var "D" $$unsorted)) % 34.26/34.63 (define @t82 () (and (= @t1 @t54) (= @t10 @t81))) % 34.26/34.63 (define @t83 () (= @t44 (tptp.rel_str_of @t54 @t81))) % 34.26/34.63 (define @t84 () (@list @t54 @t81)) % 34.26/34.63 (define @t85 () (forall @t84 (=> @t83 @t82))) % 34.26/34.63 (define @t86 () (=> @t45 @t85)) % 34.26/34.63 (define @t87 () (forall @t12 @t86)) % 34.26/34.63 (define @t88 () (tptp.element @t1 @t10)) % 34.26/34.63 (define @t89 () (tptp.element @t10 (tptp.powerset @t54))) % 34.26/34.63 (define @t90 () (tptp.the_carrier @t48)) % 34.26/34.63 (define @t91 () (forall @t8 (= @t90 @t35))) % 34.26/34.63 (define @t92 () (not @t91)) % 34.26/34.63 (define @t93 () (@var "BOUND_VARIABLE_8415" $$unsorted)) % 34.26/34.63 (define @t94 () (@var "BOUND_VARIABLE_8413" $$unsorted)) % 34.26/34.63 (define @t95 () (and (= @t1 @t94) (= @t10 @t93))) % 34.26/34.63 (define @t96 () (not (= @t44 (tptp.rel_str_of @t94 @t93)))) % 34.26/34.63 (define @t97 () (not @t45)) % 34.26/34.63 (define @t98 () (or @t97 @t96 @t95)) % 34.26/34.63 (define @t99 () (or @t96 @t95)) % 34.26/34.63 (define @t100 () (or @t97 @t99)) % 34.26/34.63 (define @t101 () (@list @t1 @t10 @t94 @t93)) % 34.26/34.63 (define @t102 () (forall @t101 @t100)) % 34.26/34.63 (define @t103 () (@list @t94 @t93)) % 34.26/34.63 (define @t104 () (forall @t103 @t100)) % 34.26/34.63 (define @t105 () (forall @t103 @t99)) % 34.26/34.63 (define @t106 () (or @t97 @t105)) % 34.26/34.63 (define @t107 () (forall @t84 (or (not @t83) @t82))) % 34.26/34.63 (define @t108 () (@quantifiers_skolemize (forall @t8 (= @t35 @t90)) 0)) % 34.26/34.63 (define @t109 () (tptp.powerset @t108)) % 34.26/34.63 (define @t110 () (tptp.inclusion_order @t109)) % 34.26/34.63 (define @t111 () (tptp.boole_POSet @t108)) % 34.26/34.63 (define @t112 () (tptp.the_InternalRel @t111)) % 34.26/34.63 (define @t113 () (= @t112 @t110)) % 34.26/34.63 (define @t114 () (tptp.the_carrier @t111)) % 34.26/34.63 (define @t115 () (and (= @t114 @t109) @t113)) % 34.26/34.63 (define @t116 () (tptp.rel_str_of @t114 @t112)) % 34.26/34.63 (define @t117 () (not (= @t116 (tptp.rel_str_of @t109 @t110)))) % 34.26/34.63 (define @t118 () (tptp.relation_of2 @t112 @t114 @t114)) % 34.26/34.63 (define @t119 () (not @t118)) % 34.26/34.63 (define @t120 () (or @t119 @t117 @t115)) % 34.26/34.63 (define @t121 () (forall @t101 @t98)) % 34.26/34.63 (define @t122 () (= @t109 @t114)) % 34.26/34.63 (define @t123 () (and @t122 @t113)) % 34.26/34.63 (define @t124 () (or @t119 @t117 @t123)) % 34.26/34.63 (define @t125 () (not @t123)) % 34.26/34.63 (define @t126 () (@list @t111)) % 34.26/34.63 (define @t127 () (forall @t8 @t49)) % 34.26/34.63 (define @t128 () (@list @t1)) % 34.26/34.63 (define @t129 () (forall @t8 @t50)) % 34.26/34.63 (define @t130 () (and @t129 @t127)) % 34.26/34.63 (define @t131 () (@list @t108)) % 34.26/34.63 (define @t132 () (tptp.relation_of2_as_subset @t112 @t114 @t114)) % 34.26/34.63 (define @t133 () (tptp.rel_str @t111)) % 34.26/34.63 (define @t134 () (not @t133)) % 34.26/34.63 (define @t135 () (or @t134 @t132)) % 34.26/34.63 (define @t136 () (@list false false)) % 34.26/34.63 (define @t137 () (= @t132 @t118)) % 34.26/34.63 (define @t138 () (not @t5)) % 34.26/34.63 (define @t139 () (not @t7)) % 34.26/34.63 (define @t140 () (= @t111 @t116)) % 34.26/34.63 (define @t141 () (tptp.strict_rel_str @t111)) % 34.26/34.63 (define @t142 () (not @t141)) % 34.26/34.63 (define @t143 () (or @t134 @t142 @t140)) % 34.26/34.63 (assume @p1 @t9) % 34.26/34.63 (assume @p2 (forall @t12 (=> @t11 (not (tptp.in @t10 @t1))))) % 34.26/34.63 (assume @p3 (forall @t8 (=> @t7 (=> (and @t17 @t15 @t18) (and @t17 @t15 @t14 @t13))))) % 34.26/34.63 (assume @p4 (forall @t8 (=> @t7 (=> @t27 (and @t17 @t15 @t25 @t24 @t23 @t22 @t21 @t20 @t19))))) % 34.26/34.63 (assume @p5 (forall @t8 (=> @t7 (=> (and @t17 @t15 @t13) (and @t17 @t15 @t28))))) % 34.26/34.63 (assume @p6 (forall @t8 (=> @t7 (=> (and @t17 @t15 @t25 @t24 @t23 @t28 @t14) (and @t17 @t15 @t25 @t24 @t23 @t22 @t18 @t28 @t21 @t29))))) % 34.26/34.63 (assume @p7 (forall @t8 (=> @t7 (=> (and @t17 @t15 @t24 @t13) (and @t17 @t15 @t24 @t22))))) % 34.26/34.63 (assume @p8 (forall @t8 (=> @t7 (=> (and @t17 @t15 @t24 @t21 @t13) (and @t17 @t15 @t24 @t23 @t21))))) % 34.26/34.63 (assume @p9 (forall @t8 (=> @t31 @t30))) % 34.26/34.63 (assume @p10 (forall @t8 (=> @t7 (=> @t23 @t17)))) % 34.26/34.63 (assume @p11 (forall @t8 (=> @t7 (=> @t32 (and @t17 @t23 @t22))))) % 34.26/34.63 (assume @p12 (forall @t8 (=> @t7 (=> (and @t17 @t15 @t25 @t24 @t21 @t14 @t13) (and @t17 @t15 @t25 @t24 @t28 @t21 @t29 @t14 @t13 @t23 @t22 @t18))))) % 34.26/34.63 (assume @p13 (forall @t8 (=> @t7 (=> @t16 @t33)))) % 34.26/34.63 (assume @p14 (forall @t8 (=> @t30 (forall @t37 (=> @t36 @t34))))) % 34.26/34.63 (assume @p15 (forall @t8 (=> @t7 (=> @t22 @t17)))) % 34.26/34.63 (assume @p16 (forall @t8 (=> @t7 (=> @t38 @t17)))) % 34.26/34.63 (assume @p17 (forall @t8 (=> @t7 (=> @t32 (and @t17 @t29))))) % 34.26/34.63 (assume @p18 (forall @t8 (=> @t7 (=> (and @t17 @t15) (and @t17 @t38))))) % 34.26/34.63 (assume @p19 (forall @t8 (=> @t7 (=> @t29 @t39)))) % 34.26/34.63 (assume @p20 (forall @t8 (=> @t7 (=> @t40 (and @t17 @t15 @t25 @t24 @t23 @t22))))) % 34.26/34.63 (assume @p21 (forall @t8 (=> @t7 (=> @t39 @t29)))) % 34.26/34.63 (assume @p22 (forall @t8 (=> @t7 (=> @t40 (and @t17 @t20))))) % 34.26/34.63 (assume @p23 (forall @t8 (=> @t7 (=> @t40 (and @t17 @t21))))) % 34.26/34.63 (assume @p24 (forall @t8 (=> @t7 (=> @t27 (and @t17 @t15 @t25 @t24 @t23 @t22 @t28 @t21 @t29 @t20 @t41))))) % 34.26/34.63 (assume @p25 (forall @t8 (=> @t7 (=> (and @t15 @t23 @t14) (and @t17 @t15 @t23 @t21))))) % 34.26/34.63 (assume @p26 (forall @t8 (=> @t7 (=> (and @t17 @t15 @t25 @t24 @t23 @t22 @t29 @t20 @t41) (and @t17 @t15 @t25 @t24 @t23 @t22 @t28 @t21 @t29 @t20 @t41 @t26))))) % 34.26/34.63 (assume @p27 (forall @t8 (= @t43 (tptp.rel_str_of @t1 @t42)))) % 34.26/34.63 (assume @p28 (forall @t12 (=> @t45 (and (tptp.strict_rel_str @t44) (tptp.rel_str @t44))))) % 34.26/34.63 (assume @p29 (forall @t8 (tptp.relation @t46))) % 34.26/34.63 (assume @p30 true) % 34.26/34.63 (assume @p31 (forall @t8 (and (tptp.reflexive @t42) (tptp.antisymmetric @t42) (tptp.transitive @t42) (tptp.v1_partfun1 @t42 @t1 @t1) (tptp.relation_of2_as_subset @t42 @t1 @t1)))) % 34.26/34.63 (assume @p32 (forall @t8 (and @t47 (tptp.rel_str @t43)))) % 34.26/34.63 (assume @p33 @t51) % 34.26/34.63 (assume @p34 (forall @t8 (=> @t7 @t52))) % 34.26/34.63 (assume @p35 (forall @t56 (=> @t55 (tptp.element @t54 (tptp.powerset @t53))))) % 34.26/34.63 (assume @p36 @t58) % 34.26/34.63 (assume @p37 (exists @t8 @t7)) % 34.26/34.63 (assume @p38 (exists @t8 @t52)) % 34.26/34.63 (assume @p39 (forall @t12 (exists @t60 @t59))) % 34.26/34.63 (assume @p40 (forall @t8 (exists @t37 (tptp.element @t10 @t1)))) % 34.26/34.63 (assume @p41 (forall @t12 (exists @t60 @t55))) % 34.26/34.63 (assume @p42 (forall @t8 (=> (and @t38 @t7) (and (not (tptp.empty @t2)) (tptp.relation @t2))))) % 34.26/34.63 (assume @p43 (forall @t12 (=> (and @t30 @t34) (tptp.finite @t53)))) % 34.26/34.63 (assume @p44 (forall @t8 (=> @t61 (not (tptp.empty @t3))))) % 34.26/34.63 (assume @p45 (forall @t8 (not (tptp.empty @t35)))) % 34.26/34.63 (assume @p46 (forall @t8 (and @t74 @t50 @t73 @t72 @t71 @t70 @t69 @t68 @t67 @t66 @t65 @t64 @t63 @t62))) % 34.26/34.63 (assume @p47 (tptp.empty tptp.empty_set)) % 34.26/34.63 (assume @p48 (forall @t12 (=> (and @t77 @t76) (not (tptp.empty @t53))))) % 34.26/34.63 (assume @p49 (forall @t8 (and @t47 @t80 @t79 @t78))) % 34.26/34.63 (assume @p50 (forall @t8 (=> @t77 (and (not (tptp.empty_carrier @t43)) @t47 @t80 @t79 @t78)))) % 34.26/34.63 (assume @p51 (forall @t8 (and @t74 @t50 @t73 @t72 @t71))) % 34.26/34.63 (assume @p52 (forall @t8 (and @t74 @t50 @t73 @t72 @t71 @t67 @t66 @t65 @t70 @t69 @t68))) % 34.26/34.63 (assume @p53 (forall @t8 (and @t74 @t50 @t73 @t72 @t71 @t70 @t69 @t68 @t67 @t66 @t65 @t64 @t63 @t62 (tptp.complemented_relstr @t48)))) % 34.26/34.63 (assume @p54 @t87) % 34.26/34.63 (assume @p55 (exists @t8 (and @t7 @t17 @t5 @t15 @t25 @t24 @t23 @t22 @t18 @t28 @t21 @t29 @t14 @t13))) % 34.26/34.63 (assume @p56 (exists @t8 (and @t77 @t30))) % 34.26/34.63 (assume @p57 (exists @t8 (and @t7 @t17 @t5 @t15 @t25 @t24 @t18))) % 34.26/34.63 (assume @p58 (forall @t8 (=> @t77 (exists @t37 (and @t36 @t76))))) % 34.26/34.63 (assume @p59 (exists @t8 @t31)) % 34.26/34.63 (assume @p60 (exists @t8 (and @t7 @t17 @t5 @t15 @t25 @t24 @t38))) % 34.26/34.63 (assume @p61 (exists @t8 (and @t7 @t17 @t5 @t15 @t25 @t24 @t23 @t22 @t18))) % 34.26/34.63 (assume @p62 (forall @t8 (exists @t37 (and @t36 @t75)))) % 34.26/34.63 (assume @p63 (exists @t8 @t77)) % 34.26/34.63 (assume @p64 (exists @t8 (and @t7 @t17 @t15 @t25 @t24 @t23 @t22 @t18 @t28 @t21 @t29))) % 34.26/34.63 (assume @p65 (forall @t8 (=> @t77 (exists @t37 (and @t36 @t76 @t34))))) % 34.26/34.63 (assume @p66 (exists @t8 (and @t52 @t17))) % 34.26/34.63 (assume @p67 (exists @t8 (and @t7 @t17 @t5 @t15 @t25 @t24 @t23 @t22 @t28 @t21 @t29 @t20 @t19 @t41 @t26))) % 34.26/34.63 (assume @p68 (forall @t8 (=> @t61 (exists @t37 (and (tptp.element @t10 (tptp.powerset @t3)) @t76))))) % 34.26/34.63 (assume @p69 (exists @t8 (and @t7 @t17 @t5 @t15 @t25 @t24 @t23 @t22 @t21 @t20 @t19))) % 34.26/34.63 (assume @p70 (forall @t8 (= @t42 @t46))) % 34.26/34.63 (assume @p71 (forall @t56 (= @t55 @t59))) % 34.26/34.63 (assume @p72 (forall @t12 (tptp.subset @t1 @t1))) % 34.26/34.63 (assume @p73 (forall @t12 (=> @t11 @t88))) % 34.26/34.63 (assume @p74 (forall @t12 (=> @t88 (or @t75 @t11)))) % 34.26/34.63 (assume @p75 (forall @t12 (= (tptp.element @t1 (tptp.powerset @t10)) (tptp.subset @t1 @t10)))) % 34.26/34.63 (assume @p76 (forall @t56 (=> (and @t11 @t89) (tptp.element @t1 @t54)))) % 34.26/34.63 (assume @p77 @t92) % 34.26/34.63 (assume @p78 (forall @t8 (= @t48 (tptp.incl_POSet @t35)))) % 34.26/34.63 (assume @p79 (forall @t56 (not (and @t11 @t89 (tptp.empty @t54))))) % 34.26/34.63 (assume @p80 (forall @t8 (=> @t31 (= @t1 tptp.empty_set)))) % 34.26/34.63 (assume @p81 (forall @t12 (not (and @t11 @t75)))) % 34.26/34.63 (assume @p82 (forall @t12 (not (and @t31 (not (= @t1 @t10)) @t75)))) % 34.26/34.63 (step @p83 :rule evaluate :args ((= true false))) % 34.26/34.63 (step @p84 :rule aci_norm :args ((= @t100 @t98))) % 34.26/34.63 (step @p85 :rule cong :premises (@p84) :args (@t102)) % 34.26/34.63 (step @p86 :rule quant-merge-prenex :args ((= (forall @t12 @t104) @t102))) % 34.26/34.63 (step @p87 :rule alpha_equiv :args (@t105 (@list @t94 @t93) (@list @t54 @t81))) % 34.26/34.63 (step @p88 :rule refl :args (@t97)) % 34.26/34.63 (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t106)) % 34.26/34.63 (step @p90 :rule quant-miniscope-or :args ((= @t104 @t106))) % 34.26/34.63 (step @p91 :rule trans :premises (@p90 @p89)) % 34.26/34.63 (step @p92 :rule symm :premises (@p91)) % 34.26/34.63 (step @p93 :rule cong :premises (@p92) :args ((forall @t12 (or @t97 @t107)))) % 34.26/34.63 (step @p94 :rule trans :premises (@p93 @p86)) % 34.26/34.63 (step @p95 :rule trans :premises (@p94 @p85)) % 34.26/34.63 (step @p96 :rule bool-impl-elim :args (@t45 @t107)) % 34.26/34.63 (step @p97 :rule cong :premises (@p96) :args ((forall @t12 (=> @t45 @t107)))) % 34.26/34.63 (step @p98 :rule trans :premises (@p97 @p95)) % 34.26/34.63 (step @p99 :rule bool-impl-elim :args (@t83 @t82)) % 34.26/34.63 (step @p100 :rule cong :premises (@p99) :args (@t85)) % 34.26/34.63 (step @p101 :rule refl :args (@t45)) % 34.26/34.63 (step @p102 :rule cong :premises (@p101 @p100) :args (@t86)) % 34.26/34.63 (step @p103 :rule cong :premises (@p102) :args (@t87)) % 34.26/34.63 (step @p104 :rule trans :premises (@p103 @p98)) % 34.26/34.63 (step @p105 :rule eq_resolve :premises (@p54 @p104)) % 34.26/34.63 (step @p106 :rule refl :args (@t113)) % 34.26/34.63 (step @p107 :rule eq-symm :args (@t114 @t109)) % 34.26/34.63 (step @p108 :rule nary_cong :premises (@p107 @p106) :args (@t115)) % 34.26/34.63 (step @p109 :rule refl :args (@t117)) % 34.26/34.63 (step @p110 :rule refl :args (@t119)) % 34.26/34.63 (step @p111 :rule nary_cong :premises (@p110 @p109 @p108) :args (@t120)) % 34.26/34.63 (step @p112 :rule refl :args (@t121)) % 34.26/34.63 (step @p113 :rule cong :premises (@p112 @p111) :args ((=> @t121 @t120))) % 34.26/34.63 (assume-push @p175 @t121) % 34.26/34.63 (step @p115 :rule instantiate :premises (@p105) :args ((@list @t114 @t112 @t109 @t110))) % 34.26/34.63 (step-pop @p176 :rule scope :premises (@p115)) % 34.26/34.63 (step @p116 :rule process_scope :premises (@p176) :args (@t120)) % 34.26/34.63 (step @p118 :rule eq_resolve :premises (@p116 @p113)) % 34.26/34.63 (step @p119 :rule implies_elim :premises (@p118)) % 34.26/34.63 (step @p120 :rule chain_m_resolution :premises (@p119 @p105) :args (@t124 (@list false) (@list @t121))) % 34.26/34.63 (step @p121 :rule eq-symm :args (@t90 @t35)) % 34.26/34.63 (step @p122 :rule cong :premises (@p121) :args (@t91)) % 34.26/34.63 (step @p123 :rule cong :premises (@p122) :args (@t92)) % 34.26/34.63 (step @p124 :rule eq_resolve :premises (@p77 @p123)) % 34.26/34.63 (step @p125 :rule skolemize :premises (@p124)) % 34.26/34.63 (step @p126 :rule cnf_and_pos :args (@t123 0)) % 34.26/34.63 (step @p127 :rule reordering :premises (@p126) :args ((or @t122 @t125))) % 34.26/34.63 (step @p128 :rule chain_m_resolution :premises (@p127 @p125) :args (@t125 (@list true) (@list @t122))) % 34.26/34.63 (step @p129 :rule instantiate :premises (@p71) :args ((@list @t114 @t114 @t112))) % 34.26/34.63 (step @p130 :rule bool-impl-elim :args (@t7 @t57)) % 34.26/34.63 (step @p131 :rule cong :premises (@p130) :args (@t58)) % 34.26/34.63 (step @p132 :rule eq_resolve :premises (@p36 @p131)) % 34.26/34.63 (step @p133 :rule instantiate :premises (@p132) :args (@t126)) % 34.26/34.63 (step @p134 :rule alpha_equiv :args (@t127 @t128 (@list (@var "BOUND_VARIABLE_8028" $$unsorted)))) % 34.26/34.63 (step @p135 :rule alpha_equiv :args (@t129 @t128 (@list (@var "BOUND_VARIABLE_8022" $$unsorted)))) % 34.26/34.63 (step @p136 :rule nary_cong :premises (@p135 @p134) :args (@t130)) % 34.26/34.63 (step @p137 :rule quant-miniscope-and :args ((= @t51 @t130))) % 34.26/34.63 (step @p138 :rule trans :premises (@p137 @p136)) % 34.26/34.63 (step @p139 :rule eq_resolve :premises (@p33 @p138)) % 34.26/34.63 (step @p140 :rule and_elim :premises (@p139) :args (1)) % 34.26/34.63 (step @p141 :rule instantiate :premises (@p140) :args (@t131)) % 34.26/34.63 (step @p142 :rule cnf_or_pos :args (@t135)) % 34.26/34.63 (step @p143 :rule reordering :premises (@p142) :args ((or @t134 @t132 (not @t135)))) % 34.26/34.63 (step @p144 :rule chain_m_resolution :premises (@p143 @p141 @p133) :args (@t132 @t136 (@list @t133 @t135))) % 34.26/34.63 (step @p145 :rule cnf_equiv_pos1 :args (@t137)) % 34.26/34.63 (step @p146 :rule reordering :premises (@p145) :args ((or (not @t132) @t118 (not @t137)))) % 34.26/34.63 (step @p147 :rule chain_m_resolution :premises (@p146 @p144 @p129) :args (@t118 @t136 (@list @t132 @t137))) % 34.26/34.63 (step @p148 :rule cnf_or_pos :args (@t124)) % 34.26/34.63 (step @p149 :rule reordering :premises (@p148) :args ((or @t119 @t117 @t123 (not @t124)))) % 34.26/34.63 (step @p150 :rule chain_m_resolution :premises (@p149 @p147 @p128 @p120) :args (@t117 (@list false true false) (@list @t118 @t123 @t124))) % 34.26/34.63 (step @p151 :rule false_intro :premises (@p150)) % 34.26/34.63 (step @p152 :rule instantiate :premises (@p27) :args ((@list @t109))) % 34.26/34.63 (step @p153 :rule instantiate :premises (@p78) :args (@t131)) % 34.26/34.63 (step @p154 :rule aci_norm :args ((= (or @t139 (or @t138 @t4)) (or @t139 @t138 @t4)))) % 34.26/34.63 (step @p155 :rule bool-impl-elim :args (@t5 @t4)) % 34.26/34.63 (step @p156 :rule refl :args (@t139)) % 34.26/34.63 (step @p157 :rule nary_cong :premises (@p156 @p155) :args ((or @t139 @t6))) % 34.26/34.63 (step @p158 :rule trans :premises (@p157 @p154)) % 34.26/34.63 (step @p159 :rule bool-impl-elim :args (@t7 @t6)) % 34.26/34.63 (step @p160 :rule trans :premises (@p159 @p158)) % 34.26/34.63 (step @p161 :rule cong :premises (@p160) :args (@t9)) % 34.26/34.63 (step @p162 :rule eq_resolve :premises (@p1 @p161)) % 34.26/34.63 (step @p163 :rule instantiate :premises (@p162) :args (@t126)) % 34.26/34.63 (step @p164 :rule and_elim :premises (@p139) :args (0)) % 34.26/34.63 (step @p165 :rule instantiate :premises (@p164) :args (@t131)) % 34.26/34.63 (step @p166 :rule cnf_or_pos :args (@t143)) % 34.26/34.63 (step @p167 :rule reordering :premises (@p166) :args ((or @t134 @t142 @t140 (not @t143)))) % 34.26/34.63 (step @p168 :rule chain_m_resolution :premises (@p167 @p141 @p165 @p163) :args (@t140 (@list false false false) (@list @t133 @t141 @t143))) % 34.26/34.63 (step @p169 :rule symm :premises (@p168)) % 34.26/34.63 (step @p170 :rule trans :premises (@p169 @p153 @p152)) % 34.26/34.63 (step @p171 :rule true_intro :premises (@p170)) % 34.26/34.63 (step @p172 :rule symm :premises (@p171)) % 34.26/34.63 (step @p173 :rule trans :premises (@p172 @p151)) % 34.26/34.63 (step @p174 false :rule eq_resolve :premises (@p173 @p83)) % 34.26/34.63 ) % 34.26/34.63 % SZS output end Proof % 34.26/34.63 % cvc5 exiting %------------------------------------------------------------------------------