%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET605+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:48:11 AM UTC 2026 % Result : Theorem 0.40s 0.57s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SET605+3 : TPTP v9.2.1. Released v2.2.0. % 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 : n025.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 16:04:31 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.57 % SZS status Theorem % 0.40/0.57 % SZS output start Proof % 0.40/0.57 ( % 0.40/0.57 (declare-sort $$unsorted 0) % 0.40/0.57 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.40/0.57 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.40/0.57 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.57 (declare-const tptp.empty_set $$unsorted) % 0.40/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.40/0.57 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.57 (define @t1 () (@var "C" $$unsorted)) % 0.40/0.57 (define @t2 () (@var "B" $$unsorted)) % 0.40/0.57 (define @t3 () (tptp.union @t2 @t1)) % 0.40/0.57 (define @t4 () (@list @t2 @t1)) % 0.40/0.57 (define @t5 () (tptp.subset @t2 @t1)) % 0.40/0.57 (define @t6 () (tptp.difference @t2 @t1)) % 0.40/0.57 (define @t7 () (= (= @t6 tptp.empty_set) @t5)) % 0.40/0.57 (define @t8 () (forall @t4 @t7)) % 0.40/0.57 (define @t9 () (@var "D" $$unsorted)) % 0.40/0.57 (define @t10 () (tptp.member @t9 @t1)) % 0.40/0.57 (define @t11 () (tptp.member @t9 @t2)) % 0.40/0.57 (define @t12 () (@list @t2 @t1 @t9)) % 0.40/0.57 (define @t13 () (@list @t2)) % 0.40/0.57 (define @t14 () (= @t2 @t1)) % 0.40/0.57 (define @t15 () (@list @t9)) % 0.40/0.57 (define @t16 () (tptp.difference @t2 @t3)) % 0.40/0.57 (define @t17 () (forall @t4 (= @t16 tptp.empty_set))) % 0.40/0.57 (define @t18 () (not @t17)) % 0.40/0.57 (define @t19 () (forall @t4 (= tptp.empty_set @t16))) % 0.40/0.57 (define @t20 () (@quantifiers_skolemize @t19 1)) % 0.40/0.57 (define @t21 () (@quantifiers_skolemize @t19 0)) % 0.40/0.57 (define @t22 () (= tptp.empty_set @t6)) % 0.40/0.57 (define @t23 () (tptp.union @t21 @t20)) % 0.40/0.57 (define @t24 () (tptp.subset @t21 @t23)) % 0.40/0.57 (define @t25 () (= tptp.empty_set (tptp.difference @t21 @t23))) % 0.40/0.57 (define @t26 () (forall @t4 (= @t5 @t22))) % 0.40/0.57 (define @t27 () (= @t24 @t25)) % 0.40/0.57 (define @t28 () (= @t25 @t24)) % 0.40/0.57 (assume @p1 (forall @t4 (tptp.subset @t2 @t3))) % 0.40/0.57 (assume @p2 @t8) % 0.40/0.57 (assume @p3 (forall @t12 (= (tptp.member @t9 @t3) (or @t11 @t10)))) % 0.40/0.57 (assume @p4 (forall @t13 (not (tptp.member @t2 tptp.empty_set)))) % 0.40/0.57 (assume @p5 (forall @t12 (= (tptp.member @t9 @t6) (and @t11 (not @t10))))) % 0.40/0.57 (assume @p6 (forall @t4 (= @t14 (and @t5 (tptp.subset @t1 @t2))))) % 0.40/0.57 (assume @p7 (forall @t4 (= @t3 (tptp.union @t1 @t2)))) % 0.40/0.57 (assume @p8 (forall @t4 (= @t5 (forall @t15 (=> @t11 @t10))))) % 0.40/0.57 (assume @p9 (forall @t13 (tptp.subset @t2 @t2))) % 0.40/0.57 (assume @p10 (forall @t13 (= (tptp.empty @t2) (forall (@list @t1) (not (tptp.member @t1 @t2)))))) % 0.40/0.57 (assume @p11 (forall @t4 (= @t14 (forall @t15 (= @t11 @t10))))) % 0.40/0.57 (assume @p12 @t18) % 0.40/0.57 (assume @p13 true) % 0.40/0.57 (step @p14 :rule eq-symm :args (@t16 tptp.empty_set)) % 0.40/0.57 (step @p15 :rule cong :premises (@p14) :args (@t17)) % 0.40/0.57 (step @p16 :rule cong :premises (@p15) :args (@t18)) % 0.40/0.57 (step @p17 :rule eq_resolve :premises (@p12 @p16)) % 0.40/0.57 (step @p18 :rule skolemize :premises (@p17)) % 0.40/0.57 (step @p19 :rule instantiate :premises (@p1) :args ((@list @t21 @t20))) % 0.40/0.57 (step @p20 :rule eq-symm :args (@t22 @t5)) % 0.40/0.57 (step @p21 :rule refl :args (@t5)) % 0.40/0.57 (step @p22 :rule eq-symm :args (@t6 tptp.empty_set)) % 0.40/0.57 (step @p23 :rule cong :premises (@p22 @p21) :args (@t7)) % 0.40/0.57 (step @p24 :rule trans :premises (@p23 @p20)) % 0.40/0.57 (step @p25 :rule cong :premises (@p24) :args (@t8)) % 0.40/0.57 (step @p26 :rule eq_resolve :premises (@p2 @p25)) % 0.40/0.57 (step @p27 :rule eq-symm :args (@t24 @t25)) % 0.40/0.57 (step @p28 :rule refl :args (@t26)) % 0.40/0.57 (step @p29 :rule cong :premises (@p28 @p27) :args ((=> @t26 @t27))) % 0.40/0.57 (assume-push @p40 @t26) % 0.40/0.57 (step @p31 :rule instantiate :premises (@p26) :args ((@list @t21 @t23))) % 0.40/0.57 (step-pop @p41 :rule scope :premises (@p31)) % 0.40/0.57 (step @p32 :rule process_scope :premises (@p41) :args (@t27)) % 0.40/0.57 (step @p34 :rule eq_resolve :premises (@p32 @p29)) % 0.40/0.57 (step @p35 :rule implies_elim :premises (@p34)) % 0.40/0.57 (step @p36 :rule chain_m_resolution :premises (@p35 @p26) :args (@t28 (@list false) (@list @t26))) % 0.40/0.57 (step @p37 :rule cnf_equiv_pos2 :args (@t28)) % 0.40/0.57 (step @p38 :rule reordering :premises (@p37) :args ((or @t25 (not @t24) (not @t28)))) % 0.40/0.57 (step @p39 false :rule chain_m_resolution :premises (@p38 @p36 @p19 @p18) :args (false (@list false false true) (@list @t28 @t24 @t25))) % 0.40/0.57 ) % 0.40/0.57 % SZS output end Proof % 0.40/0.57 % cvc5 exiting %------------------------------------------------------------------------------