%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET639+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:48:20 AM UTC 2026 % Result : Theorem 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET639+3 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.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 16:05:49 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort $$unsorted 0) % 0.39/0.56 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.empty_set $$unsorted) % 0.39/0.56 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (define @t1 () (@var "B" $$unsorted)) % 0.39/0.56 (define @t2 () (@var "C" $$unsorted)) % 0.39/0.56 (define @t3 () (tptp.intersection @t1 @t2)) % 0.39/0.56 (define @t4 () (tptp.subset @t1 @t2)) % 0.39/0.56 (define @t5 () (=> @t4 (= @t3 @t1))) % 0.39/0.56 (define @t6 () (@list @t1 @t2)) % 0.39/0.56 (define @t7 () (forall @t6 @t5)) % 0.39/0.56 (define @t8 () (@list @t1)) % 0.39/0.56 (define @t9 () (@var "D" $$unsorted)) % 0.39/0.56 (define @t10 () (tptp.member @t9 @t2)) % 0.39/0.56 (define @t11 () (tptp.member @t9 @t1)) % 0.39/0.56 (define @t12 () (@list @t9)) % 0.39/0.56 (define @t13 () (= @t1 @t2)) % 0.39/0.56 (define @t14 () (tptp.intersection @t2 @t1)) % 0.39/0.56 (define @t15 () (= @t1 tptp.empty_set)) % 0.39/0.56 (define @t16 () (and @t4 (= @t14 tptp.empty_set))) % 0.39/0.56 (define @t17 () (=> @t16 @t15)) % 0.39/0.56 (define @t18 () (forall @t6 @t17)) % 0.39/0.56 (define @t19 () (not @t18)) % 0.39/0.56 (define @t20 () (= tptp.empty_set @t14)) % 0.39/0.56 (define @t21 () (not @t20)) % 0.39/0.56 (define @t22 () (not @t4)) % 0.39/0.56 (define @t23 () (or @t22 @t21 @t15)) % 0.39/0.56 (define @t24 () (forall @t6 @t23)) % 0.39/0.56 (define @t25 () (@quantifiers_skolemize @t24 0)) % 0.39/0.56 (define @t26 () (@quantifiers_skolemize @t24 1)) % 0.39/0.56 (define @t27 () (= @t1 @t3)) % 0.39/0.56 (define @t28 () (and @t4 @t20)) % 0.39/0.56 (define @t29 () (= tptp.empty_set @t25)) % 0.39/0.56 (define @t30 () (= tptp.empty_set (tptp.intersection @t26 @t25))) % 0.39/0.56 (define @t31 () (not @t30)) % 0.39/0.56 (define @t32 () (tptp.subset @t25 @t26)) % 0.39/0.56 (define @t33 () (not @t32)) % 0.39/0.56 (define @t34 () (or @t33 @t31 @t29)) % 0.39/0.56 (define @t35 () (not @t34)) % 0.39/0.56 (define @t36 () (not @t24)) % 0.39/0.56 (define @t37 () (or @t33 @t31 (= @t25 tptp.empty_set))) % 0.39/0.56 (define @t38 () (not @t37)) % 0.39/0.56 (define @t39 () (@list true)) % 0.39/0.56 (define @t40 () (@list @t34)) % 0.39/0.56 (define @t41 () (= @t25 (tptp.intersection @t25 @t26))) % 0.39/0.56 (define @t42 () (or @t33 @t41)) % 0.39/0.56 (assume @p1 @t7) % 0.39/0.56 (assume @p2 (forall @t8 (not (tptp.member @t1 tptp.empty_set)))) % 0.39/0.56 (assume @p3 (forall (@list @t1 @t2 @t9) (= (tptp.member @t9 @t3) (and @t11 @t10)))) % 0.39/0.56 (assume @p4 (forall @t6 (= @t4 (forall @t12 (=> @t11 @t10))))) % 0.39/0.56 (assume @p5 (forall @t6 (= @t13 (and @t4 (tptp.subset @t2 @t1))))) % 0.39/0.56 (assume @p6 (forall @t6 (= @t3 @t14))) % 0.39/0.56 (assume @p7 (forall @t8 (tptp.subset @t1 @t1))) % 0.39/0.56 (assume @p8 (forall @t8 (= (tptp.empty @t1) (forall (@list @t2) (not (tptp.member @t2 @t1)))))) % 0.39/0.56 (assume @p9 (forall @t6 (= @t13 (forall @t12 (= @t11 @t10))))) % 0.39/0.56 (assume @p10 @t19) % 0.39/0.56 (assume @p11 true) % 0.39/0.56 (step @p12 :rule evaluate :args ((= false true))) % 0.39/0.56 (step @p13 :rule instantiate :premises (@p6) :args ((@list @t26 @t25))) % 0.39/0.56 (step @p14 :rule symm :premises (@p13)) % 0.39/0.56 (step @p15 :rule bool-impl-elim :args (@t4 @t27)) % 0.39/0.56 (step @p16 :rule cong :premises (@p15) :args ((forall @t6 (=> @t4 @t27)))) % 0.39/0.56 (step @p17 :rule eq-symm :args (@t3 @t1)) % 0.39/0.56 (step @p18 :rule refl :args (@t4)) % 0.39/0.56 (step @p19 :rule cong :premises (@p18 @p17) :args (@t5)) % 0.39/0.56 (step @p20 :rule cong :premises (@p19) :args (@t7)) % 0.39/0.56 (step @p21 :rule trans :premises (@p20 @p16)) % 0.39/0.56 (step @p22 :rule eq_resolve :premises (@p1 @p21)) % 0.39/0.56 (step @p23 :rule instantiate :premises (@p22) :args ((@list @t25 @t26))) % 0.39/0.56 (step @p24 :rule aci_norm :args ((= (or (or @t22 @t21) @t15) @t23))) % 0.39/0.56 (step @p25 :rule refl :args (@t15)) % 0.39/0.56 (step @p26 :rule bool-and-de-morgan :args (@t4 @t20 true)) % 0.39/0.56 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or (not @t28) @t15))) % 0.39/0.56 (step @p28 :rule trans :premises (@p27 @p24)) % 0.39/0.56 (step @p29 :rule bool-impl-elim :args (@t28 @t15)) % 0.39/0.56 (step @p30 :rule trans :premises (@p29 @p28)) % 0.39/0.56 (step @p31 :rule cong :premises (@p30) :args ((forall @t6 (=> @t28 @t15)))) % 0.39/0.56 (step @p32 :rule refl :args (@t15)) % 0.39/0.56 (step @p33 :rule eq-symm :args (@t14 tptp.empty_set)) % 0.39/0.56 (step @p34 :rule nary_cong :premises (@p18 @p33) :args (@t16)) % 0.39/0.56 (step @p35 :rule cong :premises (@p34 @p32) :args (@t17)) % 0.39/0.56 (step @p36 :rule cong :premises (@p35) :args (@t18)) % 0.39/0.56 (step @p37 :rule trans :premises (@p36 @p31)) % 0.39/0.56 (step @p38 :rule cong :premises (@p37) :args (@t19)) % 0.39/0.56 (step @p39 :rule eq_resolve :premises (@p10 @p38)) % 0.39/0.56 (step @p40 :rule refl :args (@t35)) % 0.39/0.56 (step @p41 :rule bool-double-not-elim :args (@t24)) % 0.39/0.56 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or (not @t36) @t35))) % 0.39/0.56 (step @p43 :rule eq-symm :args (@t25 tptp.empty_set)) % 0.39/0.56 (step @p44 :rule refl :args (@t31)) % 0.39/0.56 (step @p45 :rule refl :args (@t33)) % 0.39/0.56 (step @p46 :rule nary_cong :premises (@p45 @p44 @p43) :args (@t37)) % 0.39/0.56 (step @p47 :rule cong :premises (@p46) :args (@t38)) % 0.39/0.56 (step @p48 :rule refl :args (@t36)) % 0.39/0.56 (step @p49 :rule cong :premises (@p48 @p47) :args ((=> @t36 @t38))) % 0.39/0.56 (assume-push @p84 @t36) % 0.39/0.56 (step @p51 :rule skolemize :premises (@p39)) % 0.39/0.56 (step-pop @p85 :rule scope :premises (@p51)) % 0.39/0.56 (step @p52 :rule process_scope :premises (@p85) :args (@t38)) % 0.39/0.56 (step @p54 :rule eq_resolve :premises (@p52 @p49)) % 0.39/0.56 (step @p55 :rule implies_elim :premises (@p54)) % 0.39/0.56 (step @p56 :rule eq_resolve :premises (@p55 @p42)) % 0.39/0.56 (step @p57 :rule chain_m_resolution :premises (@p56 @p39) :args (@t35 @t39 (@list @t24))) % 0.39/0.56 (step @p58 :rule bool-double-not-elim :args (@t32)) % 0.39/0.56 (step @p59 :rule refl :args (@t34)) % 0.39/0.56 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t34 (not @t33)))) % 0.39/0.56 (step @p61 :rule cnf_or_neg :args (@t34 0)) % 0.39/0.56 (step @p62 :rule eq_resolve :premises (@p61 @p60)) % 0.39/0.56 (step @p63 :rule reordering :premises (@p62) :args ((or @t32 @t34))) % 0.39/0.56 (step @p64 :rule chain_m_resolution :premises (@p63 @p57) :args (@t32 @t39 @t40)) % 0.39/0.56 (step @p65 :rule cnf_or_pos :args (@t42)) % 0.39/0.56 (step @p66 :rule reordering :premises (@p65) :args ((or @t33 @t41 (not @t42)))) % 0.39/0.56 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p23) :args (@t41 (@list false false) (@list @t32 @t42))) % 0.39/0.56 (step @p68 :rule trans :premises (@p67 @p14)) % 0.39/0.56 (step @p69 :rule symm :premises (@p68)) % 0.39/0.56 (step @p70 :rule bool-double-not-elim :args (@t30)) % 0.39/0.56 (step @p71 :rule nary_cong :premises (@p59 @p70) :args ((or @t34 (not @t31)))) % 0.39/0.56 (step @p72 :rule cnf_or_neg :args (@t34 1)) % 0.39/0.56 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 0.39/0.56 (step @p74 :rule reordering :premises (@p73) :args ((or @t30 @t34))) % 0.39/0.56 (step @p75 :rule chain_m_resolution :premises (@p74 @p57) :args (@t30 @t39 @t40)) % 0.39/0.56 (step @p76 :rule trans :premises (@p75 @p69)) % 0.39/0.56 (step @p77 :rule true_intro :premises (@p76)) % 0.39/0.56 (step @p78 :rule cnf_or_neg :args (@t34 2)) % 0.39/0.56 (step @p79 :rule chain_m_resolution :premises (@p78 @p57) :args ((not @t29) @t39 @t40)) % 0.39/0.56 (step @p80 :rule false_intro :premises (@p79)) % 0.39/0.56 (step @p81 :rule symm :premises (@p80)) % 0.39/0.56 (step @p82 :rule trans :premises (@p81 @p77)) % 0.39/0.56 (step @p83 false :rule eq_resolve :premises (@p82 @p12)) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------