%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET585+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 : n011.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 08:48:06 AM UTC 2026 % Result : Theorem 0.32s 0.55s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET585+3 : TPTP v9.2.1. Released v2.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.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 16:03:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/0.55 % SZS status Theorem % 0.32/0.55 % SZS output start Proof % 0.32/0.55 ( % 0.32/0.55 (declare-sort $$unsorted 0) % 0.32/0.55 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.32/0.55 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.55 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.55 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.32/0.55 (define @t1 () (@var "D" $$unsorted)) % 0.32/0.55 (define @t2 () (@var "B" $$unsorted)) % 0.32/0.55 (define @t3 () (tptp.subset @t2 @t1)) % 0.32/0.55 (define @t4 () (@var "C" $$unsorted)) % 0.32/0.55 (define @t5 () (tptp.subset @t4 @t1)) % 0.32/0.55 (define @t6 () (tptp.subset @t2 @t4)) % 0.32/0.55 (define @t7 () (and @t6 @t5)) % 0.32/0.55 (define @t8 () (@list @t2 @t4 @t1)) % 0.32/0.55 (define @t9 () (forall @t8 (=> @t7 @t3))) % 0.32/0.55 (define @t10 () (tptp.union @t2 @t4)) % 0.32/0.55 (define @t11 () (@list @t2 @t4)) % 0.32/0.55 (define @t12 () (tptp.intersection @t2 @t4)) % 0.32/0.55 (define @t13 () (tptp.member @t1 @t4)) % 0.32/0.55 (define @t14 () (tptp.member @t1 @t2)) % 0.32/0.55 (define @t15 () (@list @t1)) % 0.32/0.55 (define @t16 () (forall @t8 (tptp.subset @t12 (tptp.union @t2 @t1)))) % 0.32/0.55 (define @t17 () (not @t5)) % 0.32/0.55 (define @t18 () (not @t6)) % 0.32/0.55 (define @t19 () (or @t18 @t17 @t3)) % 0.32/0.55 (define @t20 () (@quantifiers_skolemize @t16 1)) % 0.32/0.55 (define @t21 () (@quantifiers_skolemize @t16 0)) % 0.32/0.55 (define @t22 () (@quantifiers_skolemize @t16 2)) % 0.32/0.55 (define @t23 () (tptp.union @t21 @t22)) % 0.32/0.55 (define @t24 () (tptp.intersection @t21 @t20)) % 0.32/0.55 (define @t25 () (tptp.subset @t24 @t23)) % 0.32/0.55 (define @t26 () (tptp.subset @t21 @t23)) % 0.32/0.55 (define @t27 () (not @t26)) % 0.32/0.55 (define @t28 () (tptp.subset @t24 @t21)) % 0.32/0.55 (define @t29 () (not @t28)) % 0.32/0.55 (define @t30 () (or @t29 @t27 @t25)) % 0.32/0.55 (define @t31 () (not @t30)) % 0.32/0.55 (define @t32 () (forall @t8 @t19)) % 0.32/0.55 (assume @p1 @t9) % 0.32/0.55 (assume @p2 (forall @t11 (tptp.subset @t2 @t10))) % 0.32/0.55 (assume @p3 (forall @t11 (tptp.subset @t12 @t2))) % 0.32/0.55 (assume @p4 (forall @t8 (= (tptp.member @t1 @t10) (or @t14 @t13)))) % 0.32/0.55 (assume @p5 (forall @t8 (= (tptp.member @t1 @t12) (and @t14 @t13)))) % 0.32/0.55 (assume @p6 (forall @t11 (= @t6 (forall @t15 (=> @t14 @t13))))) % 0.32/0.55 (assume @p7 (forall @t11 (= @t10 (tptp.union @t4 @t2)))) % 0.32/0.55 (assume @p8 (forall @t11 (= @t12 (tptp.intersection @t4 @t2)))) % 0.32/0.55 (assume @p9 (forall (@list @t2) (tptp.subset @t2 @t2))) % 0.32/0.55 (assume @p10 (forall @t11 (= (= @t2 @t4) (forall @t15 (= @t14 @t13))))) % 0.32/0.55 (assume @p11 (not @t16)) % 0.32/0.55 (assume @p12 true) % 0.32/0.55 (step @p13 :rule aci_norm :args ((= (or (or @t18 @t17) @t3) @t19))) % 0.32/0.55 (step @p14 :rule refl :args (@t3)) % 0.32/0.55 (step @p15 :rule bool-and-de-morgan :args (@t6 @t5 true)) % 0.32/0.55 (step @p16 :rule nary_cong :premises (@p15 @p14) :args ((or (not @t7) @t3))) % 0.32/0.55 (step @p17 :rule trans :premises (@p16 @p13)) % 0.32/0.55 (step @p18 :rule bool-impl-elim :args (@t7 @t3)) % 0.32/0.55 (step @p19 :rule trans :premises (@p18 @p17)) % 0.32/0.55 (step @p20 :rule cong :premises (@p19) :args (@t9)) % 0.32/0.55 (step @p21 :rule eq_resolve :premises (@p1 @p20)) % 0.32/0.55 (step @p22 :rule instantiate :premises (@p3) :args ((@list @t21 @t20))) % 0.32/0.55 (step @p23 :rule instantiate :premises (@p2) :args ((@list @t21 @t22))) % 0.32/0.55 (step @p24 :rule skolemize :premises (@p11)) % 0.32/0.55 (step @p25 :rule cnf_or_pos :args (@t30)) % 0.32/0.55 (step @p26 :rule reordering :premises (@p25) :args ((or @t25 @t27 @t29 @t31))) % 0.32/0.55 (step @p27 :rule chain_m_resolution :premises (@p26 @p24 @p23 @p22) :args (@t31 (@list true false false) (@list @t25 @t26 @t28))) % 0.32/0.55 (assume-push @p34 @t32) % 0.32/0.55 (step @p29 :rule instantiate :premises (@p21) :args ((@list @t24 @t21 @t23))) % 0.32/0.55 (step-pop @p35 :rule scope :premises (@p29)) % 0.32/0.55 (step @p30 :rule process_scope :premises (@p35) :args (@t30)) % 0.32/0.55 (step @p32 :rule implies_elim :premises (@p30)) % 0.32/0.55 (step @p33 false :rule chain_m_resolution :premises (@p32 @p27 @p21) :args (false (@list true false) (@list @t30 @t32))) % 0.32/0.55 ) % 0.32/0.55 % SZS output end Proof % 0.32/0.55 % cvc5 exiting %------------------------------------------------------------------------------