%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET573+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 : n013.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 08:48:04 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET573+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 % 0.18/0.34 % Computer : n013.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:02:00 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.intersect (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (define @t1 () (@var "C" $$unsorted)) % 0.37/0.57 (define @t2 () (@var "D" $$unsorted)) % 0.37/0.57 (define @t3 () (tptp.member @t2 @t1)) % 0.37/0.57 (define @t4 () (@var "B" $$unsorted)) % 0.37/0.57 (define @t5 () (tptp.member @t2 @t4)) % 0.37/0.57 (define @t6 () (and @t5 @t3)) % 0.37/0.57 (define @t7 () (@list @t2)) % 0.37/0.57 (define @t8 () (exists @t7 @t6)) % 0.37/0.57 (define @t9 () (tptp.intersect @t4 @t1)) % 0.37/0.57 (define @t10 () (= @t9 @t8)) % 0.37/0.57 (define @t11 () (@list @t4 @t1)) % 0.37/0.57 (define @t12 () (forall @t11 @t10)) % 0.37/0.57 (define @t13 () (not (tptp.member @t4 @t2))) % 0.37/0.57 (define @t14 () (tptp.disjoint @t1 @t2)) % 0.37/0.57 (define @t15 () (tptp.member @t4 @t1)) % 0.37/0.57 (define @t16 () (and @t15 @t14)) % 0.37/0.57 (define @t17 () (@list @t4 @t1 @t2)) % 0.37/0.57 (define @t18 () (forall @t17 (=> @t16 @t13))) % 0.37/0.57 (define @t19 () (not @t18)) % 0.37/0.57 (define @t20 () (forall @t7 (not @t6))) % 0.37/0.57 (define @t21 () (not @t20)) % 0.37/0.57 (define @t22 () (not @t14)) % 0.37/0.57 (define @t23 () (not @t15)) % 0.37/0.57 (define @t24 () (or @t23 @t22 @t13)) % 0.37/0.57 (define @t25 () (forall @t17 @t24)) % 0.37/0.57 (define @t26 () (@quantifiers_skolemize @t25 2)) % 0.37/0.57 (define @t27 () (@quantifiers_skolemize @t25 1)) % 0.37/0.57 (define @t28 () (@list @t27 @t26)) % 0.37/0.57 (define @t29 () (tptp.disjoint @t27 @t26)) % 0.37/0.57 (define @t30 () (@quantifiers_skolemize @t25 0)) % 0.37/0.57 (define @t31 () (tptp.member @t30 @t26)) % 0.37/0.57 (define @t32 () (not @t31)) % 0.37/0.57 (define @t33 () (not @t29)) % 0.37/0.57 (define @t34 () (tptp.member @t30 @t27)) % 0.37/0.57 (define @t35 () (not @t34)) % 0.37/0.57 (define @t36 () (or @t35 @t33 @t32)) % 0.37/0.57 (define @t37 () (@list true)) % 0.37/0.57 (define @t38 () (@list @t36)) % 0.37/0.57 (define @t39 () (tptp.intersect @t27 @t26)) % 0.37/0.57 (define @t40 () (not @t39)) % 0.37/0.57 (define @t41 () (= @t29 @t40)) % 0.37/0.57 (define @t42 () (@list false false)) % 0.37/0.57 (define @t43 () (forall @t7 (or (not (tptp.member @t2 @t27)) (not (tptp.member @t2 @t26))))) % 0.37/0.57 (define @t44 () (not @t43)) % 0.37/0.57 (define @t45 () (= @t39 @t44)) % 0.37/0.57 (define @t46 () (not @t45)) % 0.37/0.57 (define @t47 () (@list true false)) % 0.37/0.57 (define @t48 () (or @t35 @t32)) % 0.37/0.57 (define @t49 () (not @t48)) % 0.37/0.57 (assume @p1 @t12) % 0.37/0.57 (assume @p2 (forall @t11 (= (tptp.disjoint @t4 @t1) (not @t9)))) % 0.37/0.57 (assume @p3 (forall @t11 (=> @t9 (tptp.intersect @t1 @t4)))) % 0.37/0.57 (assume @p4 @t19) % 0.37/0.57 (assume @p5 true) % 0.37/0.57 (step @p6 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.37/0.57 (step @p7 :rule cong :premises (@p6) :args (@t20)) % 0.37/0.57 (step @p8 :rule cong :premises (@p7) :args (@t21)) % 0.37/0.57 (step @p9 :rule exists-elim :args ((= @t8 @t21))) % 0.37/0.57 (step @p10 :rule trans :premises (@p9 @p8)) % 0.37/0.57 (step @p11 :rule refl :args (@t9)) % 0.37/0.57 (step @p12 :rule cong :premises (@p11 @p10) :args (@t10)) % 0.37/0.57 (step @p13 :rule cong :premises (@p12) :args (@t12)) % 0.37/0.57 (step @p14 :rule eq_resolve :premises (@p1 @p13)) % 0.37/0.57 (step @p15 :rule instantiate :premises (@p14) :args (@t28)) % 0.37/0.57 (step @p16 :rule instantiate :premises (@p2) :args (@t28)) % 0.37/0.57 (step @p17 :rule aci_norm :args ((= (or (or @t23 @t22) @t13) @t24))) % 0.37/0.57 (step @p18 :rule refl :args (@t13)) % 0.37/0.57 (step @p19 :rule bool-and-de-morgan :args (@t15 @t14 true)) % 0.37/0.57 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or (not @t16) @t13))) % 0.37/0.57 (step @p21 :rule trans :premises (@p20 @p17)) % 0.37/0.57 (step @p22 :rule bool-impl-elim :args (@t16 @t13)) % 0.37/0.57 (step @p23 :rule trans :premises (@p22 @p21)) % 0.37/0.57 (step @p24 :rule cong :premises (@p23) :args (@t18)) % 0.37/0.57 (step @p25 :rule cong :premises (@p24) :args (@t19)) % 0.37/0.57 (step @p26 :rule eq_resolve :premises (@p4 @p25)) % 0.37/0.57 (step @p27 :rule skolemize :premises (@p26)) % 0.37/0.57 (step @p28 :rule bool-double-not-elim :args (@t29)) % 0.37/0.57 (step @p29 :rule refl :args (@t36)) % 0.37/0.57 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t36 (not @t33)))) % 0.37/0.57 (step @p31 :rule cnf_or_neg :args (@t36 1)) % 0.37/0.57 (step @p32 :rule eq_resolve :premises (@p31 @p30)) % 0.37/0.57 (step @p33 :rule reordering :premises (@p32) :args ((or @t29 @t36))) % 0.37/0.57 (step @p34 :rule chain_m_resolution :premises (@p33 @p27) :args (@t29 @t37 @t38)) % 0.37/0.57 (step @p35 :rule cnf_equiv_pos1 :args (@t41)) % 0.37/0.57 (step @p36 :rule reordering :premises (@p35) :args ((or @t33 @t40 (not @t41)))) % 0.37/0.57 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p16) :args (@t40 @t42 (@list @t29 @t41))) % 0.37/0.57 (step @p38 :rule bool-double-not-elim :args (@t43)) % 0.37/0.57 (step @p39 :rule refl :args (@t39)) % 0.37/0.57 (step @p40 :rule refl :args (@t46)) % 0.37/0.57 (step @p41 :rule nary_cong :premises (@p40 @p39 @p38) :args ((or @t46 @t39 (not @t44)))) % 0.37/0.57 (step @p42 :rule cnf_equiv_pos2 :args (@t45)) % 0.37/0.57 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 0.37/0.57 (step @p44 :rule reordering :premises (@p43) :args ((or @t39 @t43 @t46))) % 0.37/0.57 (step @p45 :rule chain_m_resolution :premises (@p44 @p37 @p15) :args (@t43 @t47 (@list @t39 @t45))) % 0.37/0.57 (step @p46 :rule bool-double-not-elim :args (@t31)) % 0.37/0.57 (step @p47 :rule nary_cong :premises (@p29 @p46) :args ((or @t36 (not @t32)))) % 0.37/0.57 (step @p48 :rule cnf_or_neg :args (@t36 2)) % 0.37/0.57 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 0.37/0.57 (step @p50 :rule reordering :premises (@p49) :args ((or @t31 @t36))) % 0.37/0.57 (step @p51 :rule chain_m_resolution :premises (@p50 @p27) :args (@t31 @t37 @t38)) % 0.37/0.57 (step @p52 :rule bool-double-not-elim :args (@t34)) % 0.37/0.57 (step @p53 :rule nary_cong :premises (@p29 @p52) :args ((or @t36 (not @t35)))) % 0.37/0.57 (step @p54 :rule cnf_or_neg :args (@t36 0)) % 0.37/0.57 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 0.37/0.57 (step @p56 :rule reordering :premises (@p55) :args ((or @t34 @t36))) % 0.37/0.57 (step @p57 :rule chain_m_resolution :premises (@p56 @p27) :args (@t34 @t37 @t38)) % 0.37/0.57 (step @p58 :rule cnf_or_pos :args (@t48)) % 0.37/0.57 (step @p59 :rule reordering :premises (@p58) :args ((or @t35 @t32 @t49))) % 0.37/0.57 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p51) :args (@t49 @t42 (@list @t34 @t31))) % 0.37/0.57 (assume-push @p67 @t43) % 0.37/0.57 (step @p62 :rule instantiate :premises (@p45) :args ((@list @t30))) % 0.37/0.57 (step-pop @p68 :rule scope :premises (@p62)) % 0.37/0.57 (step @p63 :rule process_scope :premises (@p68) :args (@t48)) % 0.37/0.57 (step @p65 :rule implies_elim :premises (@p63)) % 0.37/0.57 (step @p66 false :rule chain_m_resolution :premises (@p65 @p60 @p45) :args (false @t47 (@list @t48 @t43))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------