%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : TOP004-2 : 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 : n002.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 09:15:42 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : TOP004-2 : TPTP v9.2.1. Released v1.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n002.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 01:14:33 EDT 2026 % 0.16/0.35 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Unsatisfiable % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.cx $$unsorted) % 0.38/0.57 (declare-const tptp.f $$unsorted) % 0.38/0.57 (declare-const tptp.top_of_basis (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.subset_sets (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.intersection_of_sets (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.f6 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.f10 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.basis (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.equal_sets (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.union_of_members (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.f11 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.element_of_set (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.element_of_collection (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (define @t1 () (@var "Vf" $$unsorted)) % 0.38/0.57 (define @t2 () (@var "Uu1" $$unsorted)) % 0.38/0.57 (define @t3 () (@var "U" $$unsorted)) % 0.38/0.57 (define @t4 () (tptp.union_of_members @t1)) % 0.38/0.57 (define @t5 () (@var "X" $$unsorted)) % 0.38/0.57 (define @t6 () (not (tptp.basis @t5 @t1))) % 0.38/0.57 (define @t7 () (@var "Vb2" $$unsorted)) % 0.38/0.57 (define @t8 () (@var "Vb1" $$unsorted)) % 0.38/0.57 (define @t9 () (@var "Y" $$unsorted)) % 0.38/0.57 (define @t10 () (tptp.f6 @t5 @t1 @t9 @t8 @t7)) % 0.38/0.57 (define @t11 () (tptp.intersection_of_sets @t8 @t7)) % 0.38/0.57 (define @t12 () (not (tptp.element_of_set @t9 @t11))) % 0.38/0.57 (define @t13 () (not (tptp.element_of_collection @t7 @t1))) % 0.38/0.57 (define @t14 () (not (tptp.element_of_collection @t8 @t1))) % 0.38/0.57 (define @t15 () (not (tptp.element_of_set @t9 @t5))) % 0.38/0.57 (define @t16 () (@list @t5 @t1 @t9 @t8 @t7)) % 0.38/0.57 (define @t17 () (tptp.f10 @t1 @t3 @t5)) % 0.38/0.57 (define @t18 () (not (tptp.element_of_set @t5 @t3))) % 0.38/0.57 (define @t19 () (tptp.element_of_collection @t3 (tptp.top_of_basis @t1))) % 0.38/0.57 (define @t20 () (not @t19)) % 0.38/0.57 (define @t21 () (@list @t3 @t1 @t5)) % 0.38/0.57 (define @t22 () (tptp.f11 @t1 @t3)) % 0.38/0.57 (define @t23 () (@var "Uu11" $$unsorted)) % 0.38/0.57 (define @t24 () (@var "Z" $$unsorted)) % 0.38/0.57 (define @t25 () (not (tptp.subset_sets @t5 @t9))) % 0.38/0.57 (define @t26 () (@list @t5 @t9 @t24)) % 0.38/0.57 (define @t27 () (tptp.element_of_set @t24 @t5)) % 0.38/0.57 (define @t28 () (tptp.intersection_of_sets @t5 @t9)) % 0.38/0.57 (define @t29 () (tptp.element_of_set @t24 @t28)) % 0.38/0.57 (define @t30 () (not @t29)) % 0.38/0.57 (define @t31 () (@list @t24 @t5 @t9)) % 0.38/0.57 (define @t32 () (tptp.element_of_set @t24 @t9)) % 0.38/0.57 (define @t33 () (not @t27)) % 0.38/0.57 (define @t34 () (@var "V" $$unsorted)) % 0.38/0.57 (define @t35 () (tptp.top_of_basis tptp.f)) % 0.38/0.57 (define @t36 () (forall (@list @t3) (tptp.element_of_collection @t3 @t35))) % 0.38/0.57 (define @t37 () (tptp.intersection_of_sets tptp.cx tptp.cx)) % 0.38/0.57 (define @t38 () (tptp.element_of_collection @t37 @t35)) % 0.38/0.57 (assume @p1 (forall (@list @t3 @t1 @t2) (or (tptp.element_of_set @t3 @t4) (not (tptp.element_of_set @t3 @t2)) (not (tptp.element_of_collection @t2 @t1))))) % 0.38/0.57 (assume @p2 (forall (@list @t5 @t1) (or @t6 (tptp.equal_sets @t4 @t5)))) % 0.38/0.57 (assume @p3 (forall @t16 (or @t6 @t15 @t14 @t13 @t12 (tptp.element_of_set @t9 @t10)))) % 0.38/0.57 (assume @p4 (forall @t16 (or @t6 @t15 @t14 @t13 @t12 (tptp.element_of_collection @t10 @t1)))) % 0.38/0.57 (assume @p5 (forall @t16 (or @t6 @t15 @t14 @t13 @t12 (tptp.subset_sets @t10 @t11)))) % 0.38/0.57 (assume @p6 (forall @t21 (or @t20 @t18 (tptp.element_of_set @t5 @t17)))) % 0.38/0.57 (assume @p7 (forall @t21 (or @t20 @t18 (tptp.element_of_collection @t17 @t1)))) % 0.38/0.57 (assume @p8 (forall @t21 (or @t20 @t18 (tptp.subset_sets @t17 @t3)))) % 0.38/0.57 (assume @p9 (forall (@list @t3 @t1) (or @t19 (tptp.element_of_set @t22 @t3)))) % 0.38/0.57 (assume @p10 (forall (@list @t3 @t1 @t23) (or @t19 (not (tptp.element_of_set @t22 @t23)) (not (tptp.element_of_collection @t23 @t1)) (not (tptp.subset_sets @t23 @t3))))) % 0.38/0.57 (assume @p11 (forall @t26 (or @t25 (not (tptp.subset_sets @t9 @t24)) (tptp.subset_sets @t5 @t24)))) % 0.38/0.57 (assume @p12 (forall @t31 (or @t30 @t27))) % 0.38/0.57 (assume @p13 (forall @t31 (or @t30 @t32))) % 0.38/0.57 (assume @p14 (forall @t31 (or @t29 @t33 (not @t32)))) % 0.38/0.57 (assume @p15 (forall (@list @t5 @t9 @t3 @t34) (or @t25 (not (tptp.subset_sets @t3 @t34)) (tptp.subset_sets (tptp.intersection_of_sets @t5 @t3) (tptp.intersection_of_sets @t9 @t34))))) % 0.38/0.57 (assume @p16 (forall @t26 (or (not (tptp.equal_sets @t5 @t9)) @t33 @t32))) % 0.38/0.57 (assume @p17 (forall (@list @t5 @t9) (tptp.equal_sets @t28 (tptp.intersection_of_sets @t9 @t5)))) % 0.38/0.57 (assume @p18 (tptp.basis tptp.cx tptp.f)) % 0.38/0.57 (assume @p19 @t36) % 0.38/0.57 (assume @p20 (forall (@list @t34) (tptp.element_of_collection @t34 @t35))) % 0.38/0.57 (assume @p21 (forall (@list @t3 @t34) (not (tptp.element_of_collection (tptp.intersection_of_sets @t3 @t34) @t35)))) % 0.38/0.57 (step @p22 :rule instantiate :premises (@p21) :args ((@list tptp.cx tptp.cx))) % 0.38/0.57 (assume-push @p29 @t36) % 0.38/0.57 (step @p24 :rule instantiate :premises (@p19) :args ((@list @t37))) % 0.38/0.57 (step-pop @p30 :rule scope :premises (@p24)) % 0.38/0.57 (step @p25 :rule process_scope :premises (@p30) :args (@t38)) % 0.38/0.57 (step @p27 :rule implies_elim :premises (@p25)) % 0.38/0.57 (step @p28 false :rule chain_m_resolution :premises (@p27 @p22 @p19) :args (false (@list true false) (@list @t38 @t36))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------