%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : TOP005-2 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.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 09:15:43 AM UTC 2026 % Result : Unsatisfiable 0.16s 0.36s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : TOP005-2 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 20:14:30 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.16/0.36 % SZS status Unsatisfiable % 0.16/0.36 % SZS output start Proof % 0.16/0.37 ( % 0.16/0.37 (declare-sort $$unsorted 0) % 0.16/0.37 (declare-const tptp.f $$unsorted) % 0.16/0.37 (declare-const tptp.f11 (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.subset_sets (-> $$unsorted $$unsorted Bool)) % 0.16/0.37 (declare-const tptp.top_of_basis (-> $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.f10 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.g $$unsorted) % 0.16/0.37 (declare-const tptp.element_of_collection (-> $$unsorted $$unsorted Bool)) % 0.16/0.37 (declare-const tptp.union_of_members (-> $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.subset_collections (-> $$unsorted $$unsorted Bool)) % 0.16/0.37 (declare-const tptp.element_of_set (-> $$unsorted $$unsorted Bool)) % 0.16/0.37 (declare-const tptp.f1 (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.37 (define @t1 () (@var "U" $$unsorted)) % 0.16/0.37 (define @t2 () (@var "Vf" $$unsorted)) % 0.16/0.37 (define @t3 () (tptp.f1 @t2 @t1)) % 0.16/0.37 (define @t4 () (not (tptp.element_of_set @t1 (tptp.union_of_members @t2)))) % 0.16/0.37 (define @t5 () (@list @t1 @t2)) % 0.16/0.37 (define @t6 () (@var "X" $$unsorted)) % 0.16/0.37 (define @t7 () (tptp.f10 @t2 @t1 @t6)) % 0.16/0.37 (define @t8 () (not (tptp.element_of_set @t6 @t1))) % 0.16/0.37 (define @t9 () (tptp.element_of_collection @t1 (tptp.top_of_basis @t2))) % 0.16/0.37 (define @t10 () (not @t9)) % 0.16/0.37 (define @t11 () (@list @t1 @t2 @t6)) % 0.16/0.37 (define @t12 () (tptp.f11 @t2 @t1)) % 0.16/0.37 (define @t13 () (@var "Uu11" $$unsorted)) % 0.16/0.37 (define @t14 () (@var "Y" $$unsorted)) % 0.16/0.37 (define @t15 () (tptp.subset_sets @t6 @t14)) % 0.16/0.37 (define @t16 () (@list @t6 @t14 @t1)) % 0.16/0.37 (define @t17 () (@var "Z" $$unsorted)) % 0.16/0.37 (define @t18 () (forall (@list @t6 @t14 @t17) (or (not @t15) (not (tptp.element_of_collection @t14 @t17)) (tptp.subset_sets @t6 (tptp.union_of_members @t17))))) % 0.16/0.37 (define @t19 () (tptp.top_of_basis tptp.f)) % 0.16/0.37 (define @t20 () (tptp.subset_collections tptp.g @t19)) % 0.16/0.37 (define @t21 () (tptp.union_of_members tptp.g)) % 0.16/0.37 (define @t22 () (tptp.element_of_collection @t21 @t19)) % 0.16/0.37 (define @t23 () (tptp.f11 tptp.f @t21)) % 0.16/0.37 (define @t24 () (tptp.f1 tptp.g @t23)) % 0.16/0.37 (define @t25 () (tptp.f10 tptp.f @t24 @t23)) % 0.16/0.37 (define @t26 () (@list @t24 tptp.f @t23)) % 0.16/0.37 (define @t27 () (@list @t23 tptp.g)) % 0.16/0.37 (define @t28 () (tptp.element_of_set @t23 @t21)) % 0.16/0.37 (define @t29 () (or @t22 @t28)) % 0.16/0.37 (define @t30 () (@list true false)) % 0.16/0.37 (define @t31 () (tptp.element_of_collection @t24 tptp.g)) % 0.16/0.37 (define @t32 () (not @t28)) % 0.16/0.37 (define @t33 () (or @t32 @t31)) % 0.16/0.37 (define @t34 () (@list false false)) % 0.16/0.37 (define @t35 () (tptp.element_of_collection @t24 @t19)) % 0.16/0.37 (define @t36 () (not @t31)) % 0.16/0.37 (define @t37 () (not @t20)) % 0.16/0.37 (define @t38 () (or @t37 @t36 @t35)) % 0.16/0.37 (define @t39 () (@list false false false)) % 0.16/0.37 (define @t40 () (tptp.element_of_set @t23 @t24)) % 0.16/0.37 (define @t41 () (or @t32 @t40)) % 0.16/0.37 (define @t42 () (tptp.element_of_set @t23 @t25)) % 0.16/0.37 (define @t43 () (not @t40)) % 0.16/0.37 (define @t44 () (not @t35)) % 0.16/0.37 (define @t45 () (or @t44 @t43 @t42)) % 0.16/0.37 (define @t46 () (tptp.element_of_collection @t25 tptp.f)) % 0.16/0.37 (define @t47 () (or @t44 @t43 @t46)) % 0.16/0.37 (define @t48 () (tptp.subset_sets @t25 @t21)) % 0.16/0.37 (define @t49 () (not @t48)) % 0.16/0.37 (define @t50 () (not @t46)) % 0.16/0.37 (define @t51 () (not @t42)) % 0.16/0.37 (define @t52 () (or @t22 @t51 @t50 @t49)) % 0.16/0.37 (define @t53 () (tptp.subset_sets @t25 @t24)) % 0.16/0.37 (define @t54 () (or @t44 @t43 @t53)) % 0.16/0.37 (define @t55 () (not @t53)) % 0.16/0.37 (define @t56 () (or @t55 @t36 @t48)) % 0.16/0.37 (define @t57 () (not @t56)) % 0.16/0.37 (assume @p1 (forall @t5 (or @t4 (tptp.element_of_set @t1 @t3)))) % 0.16/0.37 (assume @p2 (forall @t5 (or @t4 (tptp.element_of_collection @t3 @t2)))) % 0.16/0.37 (assume @p3 (forall @t11 (or @t10 @t8 (tptp.element_of_set @t6 @t7)))) % 0.16/0.37 (assume @p4 (forall @t11 (or @t10 @t8 (tptp.element_of_collection @t7 @t2)))) % 0.16/0.37 (assume @p5 (forall @t11 (or @t10 @t8 (tptp.subset_sets @t7 @t1)))) % 0.16/0.37 (assume @p6 (forall @t5 (or @t9 (tptp.element_of_set @t12 @t1)))) % 0.16/0.37 (assume @p7 (forall (@list @t1 @t2 @t13) (or @t9 (not (tptp.element_of_set @t12 @t13)) (not (tptp.element_of_collection @t13 @t2)) (not (tptp.subset_sets @t13 @t1))))) % 0.16/0.37 (assume @p8 (forall @t16 (or @t15 (not (tptp.element_of_set @t1 @t6)) (tptp.element_of_set @t1 @t14)))) % 0.16/0.37 (assume @p9 @t18) % 0.16/0.37 (assume @p10 (forall @t16 (or (not (tptp.subset_collections @t6 @t14)) (not (tptp.element_of_collection @t1 @t6)) (tptp.element_of_collection @t1 @t14)))) % 0.16/0.37 (assume @p11 @t20) % 0.16/0.37 (assume @p12 (not @t22)) % 0.16/0.37 (step @p13 :rule instantiate :premises (@p7) :args ((@list @t21 tptp.f @t25))) % 0.16/0.37 (step @p14 :rule instantiate :premises (@p3) :args (@t26)) % 0.16/0.37 (step @p15 :rule instantiate :premises (@p10) :args ((@list tptp.g @t19 @t24))) % 0.16/0.37 (step @p16 :rule instantiate :premises (@p2) :args (@t27)) % 0.16/0.37 (step @p17 :rule instantiate :premises (@p6) :args ((@list @t21 tptp.f))) % 0.16/0.37 (step @p18 :rule cnf_or_pos :args (@t29)) % 0.16/0.37 (step @p19 :rule reordering :premises (@p18) :args ((or @t22 @t28 (not @t29)))) % 0.16/0.37 (step @p20 :rule chain_m_resolution :premises (@p19 @p12 @p17) :args (@t28 @t30 (@list @t22 @t29))) % 0.16/0.37 (step @p21 :rule cnf_or_pos :args (@t33)) % 0.16/0.37 (step @p22 :rule reordering :premises (@p21) :args ((or @t32 @t31 (not @t33)))) % 0.16/0.37 (step @p23 :rule chain_m_resolution :premises (@p22 @p20 @p16) :args (@t31 @t34 (@list @t28 @t33))) % 0.16/0.37 (step @p24 :rule cnf_or_pos :args (@t38)) % 0.16/0.37 (step @p25 :rule reordering :premises (@p24) :args ((or @t37 @t36 @t35 (not @t38)))) % 0.16/0.37 (step @p26 :rule chain_m_resolution :premises (@p25 @p11 @p23 @p15) :args (@t35 @t39 (@list @t20 @t31 @t38))) % 0.16/0.37 (step @p27 :rule instantiate :premises (@p1) :args (@t27)) % 0.16/0.37 (step @p28 :rule cnf_or_pos :args (@t41)) % 0.16/0.37 (step @p29 :rule reordering :premises (@p28) :args ((or @t32 @t40 (not @t41)))) % 0.16/0.37 (step @p30 :rule chain_m_resolution :premises (@p29 @p20 @p27) :args (@t40 @t34 (@list @t28 @t41))) % 0.16/0.37 (step @p31 :rule cnf_or_pos :args (@t45)) % 0.16/0.37 (step @p32 :rule reordering :premises (@p31) :args ((or @t43 @t44 @t42 (not @t45)))) % 0.16/0.37 (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p26 @p14) :args (@t42 @t39 (@list @t40 @t35 @t45))) % 0.16/0.37 (step @p34 :rule instantiate :premises (@p4) :args (@t26)) % 0.16/0.37 (step @p35 :rule cnf_or_pos :args (@t47)) % 0.16/0.37 (step @p36 :rule reordering :premises (@p35) :args ((or @t43 @t44 @t46 (not @t47)))) % 0.16/0.37 (step @p37 :rule chain_m_resolution :premises (@p36 @p30 @p26 @p34) :args (@t46 @t39 (@list @t40 @t35 @t47))) % 0.16/0.37 (step @p38 :rule cnf_or_pos :args (@t52)) % 0.16/0.37 (step @p39 :rule reordering :premises (@p38) :args ((or @t22 @t50 @t51 @t49 (not @t52)))) % 0.16/0.37 (step @p40 :rule chain_m_resolution :premises (@p39 @p12 @p37 @p33 @p13) :args (@t49 (@list true false false false) (@list @t22 @t46 @t42 @t52))) % 0.16/0.37 (step @p41 :rule instantiate :premises (@p5) :args (@t26)) % 0.16/0.37 (step @p42 :rule cnf_or_pos :args (@t54)) % 0.16/0.37 (step @p43 :rule reordering :premises (@p42) :args ((or @t43 @t44 @t53 (not @t54)))) % 0.16/0.37 (step @p44 :rule chain_m_resolution :premises (@p43 @p30 @p26 @p41) :args (@t53 @t39 (@list @t40 @t35 @t54))) % 0.16/0.37 (step @p45 :rule cnf_or_pos :args (@t56)) % 0.16/0.37 (step @p46 :rule reordering :premises (@p45) :args ((or @t36 @t55 @t48 @t57))) % 0.16/0.37 (step @p47 :rule chain_m_resolution :premises (@p46 @p23 @p44 @p40) :args (@t57 (@list false false true) (@list @t31 @t53 @t48))) % 0.16/0.37 (assume-push @p54 @t18) % 0.16/0.37 (step @p49 :rule instantiate :premises (@p9) :args ((@list @t25 @t24 tptp.g))) % 0.16/0.37 (step-pop @p55 :rule scope :premises (@p49)) % 0.16/0.37 (step @p50 :rule process_scope :premises (@p55) :args (@t56)) % 0.16/0.37 (step @p52 :rule implies_elim :premises (@p50)) % 0.16/0.37 (step @p53 false :rule chain_m_resolution :premises (@p52 @p47 @p9) :args (false @t30 (@list @t56 @t18))) % 0.16/0.37 ) % 0.16/0.37 % SZS output end Proof % 0.16/0.37 % cvc5 exiting %------------------------------------------------------------------------------