%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET574+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 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET574+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % 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 % 0.18/0.34 % DateTime : Tue Jun 2 16:02:15 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.55 % SZS status Theorem % 0.37/0.55 % SZS output start Proof % 0.37/0.55 ( % 0.37/0.55 (declare-sort $$unsorted 0) % 0.37/0.55 (declare-const tptp.intersect (-> $$unsorted $$unsorted Bool)) % 0.37/0.55 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.37/0.55 (define @t1 () (@var "C" $$unsorted)) % 0.37/0.55 (define @t2 () (@var "D" $$unsorted)) % 0.37/0.55 (define @t3 () (tptp.member @t2 @t1)) % 0.37/0.55 (define @t4 () (@var "B" $$unsorted)) % 0.37/0.55 (define @t5 () (tptp.member @t2 @t4)) % 0.37/0.55 (define @t6 () (and @t5 @t3)) % 0.37/0.55 (define @t7 () (@list @t2)) % 0.37/0.55 (define @t8 () (exists @t7 @t6)) % 0.37/0.55 (define @t9 () (tptp.intersect @t4 @t1)) % 0.37/0.55 (define @t10 () (= @t9 @t8)) % 0.37/0.55 (define @t11 () (@list @t4 @t1)) % 0.37/0.55 (define @t12 () (forall @t11 @t10)) % 0.37/0.55 (define @t13 () (tptp.intersect @t1 @t2)) % 0.37/0.55 (define @t14 () (tptp.member @t4 @t2)) % 0.37/0.55 (define @t15 () (tptp.member @t4 @t1)) % 0.37/0.55 (define @t16 () (and @t15 @t14)) % 0.37/0.55 (define @t17 () (@list @t4 @t1 @t2)) % 0.37/0.55 (define @t18 () (forall @t17 (=> @t16 @t13))) % 0.37/0.55 (define @t19 () (not @t18)) % 0.37/0.55 (define @t20 () (forall @t7 (not @t6))) % 0.37/0.55 (define @t21 () (not @t20)) % 0.37/0.55 (define @t22 () (not @t14)) % 0.37/0.55 (define @t23 () (not @t15)) % 0.37/0.55 (define @t24 () (or @t23 @t22 @t13)) % 0.37/0.55 (define @t25 () (forall @t17 @t24)) % 0.37/0.55 (define @t26 () (@quantifiers_skolemize @t25 2)) % 0.37/0.55 (define @t27 () (@quantifiers_skolemize @t25 1)) % 0.37/0.55 (define @t28 () (tptp.intersect @t27 @t26)) % 0.37/0.55 (define @t29 () (@quantifiers_skolemize @t25 0)) % 0.37/0.55 (define @t30 () (tptp.member @t29 @t26)) % 0.37/0.55 (define @t31 () (not @t30)) % 0.37/0.55 (define @t32 () (tptp.member @t29 @t27)) % 0.37/0.55 (define @t33 () (not @t32)) % 0.37/0.55 (define @t34 () (or @t33 @t31 @t28)) % 0.37/0.55 (define @t35 () (@list true)) % 0.37/0.55 (define @t36 () (@list @t34)) % 0.37/0.55 (define @t37 () (forall @t7 (or (not (tptp.member @t2 @t27)) (not (tptp.member @t2 @t26))))) % 0.37/0.55 (define @t38 () (not @t37)) % 0.37/0.55 (define @t39 () (= @t28 @t38)) % 0.37/0.55 (define @t40 () (not @t39)) % 0.37/0.55 (define @t41 () (@list true false)) % 0.37/0.55 (define @t42 () (or @t33 @t31)) % 0.37/0.55 (define @t43 () (not @t42)) % 0.37/0.55 (assume @p1 @t12) % 0.37/0.55 (assume @p2 (forall @t11 (=> @t9 (tptp.intersect @t1 @t4)))) % 0.37/0.55 (assume @p3 @t19) % 0.37/0.55 (assume @p4 true) % 0.37/0.55 (step @p5 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.37/0.55 (step @p6 :rule cong :premises (@p5) :args (@t20)) % 0.37/0.55 (step @p7 :rule cong :premises (@p6) :args (@t21)) % 0.37/0.55 (step @p8 :rule exists-elim :args ((= @t8 @t21))) % 0.37/0.55 (step @p9 :rule trans :premises (@p8 @p7)) % 0.37/0.55 (step @p10 :rule refl :args (@t9)) % 0.37/0.55 (step @p11 :rule cong :premises (@p10 @p9) :args (@t10)) % 0.37/0.55 (step @p12 :rule cong :premises (@p11) :args (@t12)) % 0.37/0.55 (step @p13 :rule eq_resolve :premises (@p1 @p12)) % 0.37/0.55 (step @p14 :rule instantiate :premises (@p13) :args ((@list @t27 @t26))) % 0.37/0.55 (step @p15 :rule aci_norm :args ((= (or (or @t23 @t22) @t13) @t24))) % 0.37/0.55 (step @p16 :rule refl :args (@t13)) % 0.37/0.55 (step @p17 :rule bool-and-de-morgan :args (@t15 @t14 true)) % 0.37/0.55 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or (not @t16) @t13))) % 0.37/0.55 (step @p19 :rule trans :premises (@p18 @p15)) % 0.37/0.55 (step @p20 :rule bool-impl-elim :args (@t16 @t13)) % 0.37/0.55 (step @p21 :rule trans :premises (@p20 @p19)) % 0.37/0.55 (step @p22 :rule cong :premises (@p21) :args (@t18)) % 0.37/0.55 (step @p23 :rule cong :premises (@p22) :args (@t19)) % 0.37/0.55 (step @p24 :rule eq_resolve :premises (@p3 @p23)) % 0.37/0.55 (step @p25 :rule skolemize :premises (@p24)) % 0.37/0.56 (step @p26 :rule cnf_or_neg :args (@t34 2)) % 0.37/0.56 (step @p27 :rule chain_m_resolution :premises (@p26 @p25) :args ((not @t28) @t35 @t36)) % 0.37/0.56 (step @p28 :rule bool-double-not-elim :args (@t37)) % 0.37/0.56 (step @p29 :rule refl :args (@t28)) % 0.37/0.56 (step @p30 :rule refl :args (@t40)) % 0.37/0.56 (step @p31 :rule nary_cong :premises (@p30 @p29 @p28) :args ((or @t40 @t28 (not @t38)))) % 0.37/0.56 (step @p32 :rule cnf_equiv_pos2 :args (@t39)) % 0.37/0.56 (step @p33 :rule eq_resolve :premises (@p32 @p31)) % 0.37/0.56 (step @p34 :rule reordering :premises (@p33) :args ((or @t28 @t37 @t40))) % 0.37/0.56 (step @p35 :rule chain_m_resolution :premises (@p34 @p27 @p14) :args (@t37 @t41 (@list @t28 @t39))) % 0.37/0.56 (step @p36 :rule bool-double-not-elim :args (@t30)) % 0.37/0.56 (step @p37 :rule refl :args (@t34)) % 0.37/0.56 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t34 (not @t31)))) % 0.37/0.56 (step @p39 :rule cnf_or_neg :args (@t34 1)) % 0.37/0.56 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 0.37/0.56 (step @p41 :rule reordering :premises (@p40) :args ((or @t30 @t34))) % 0.37/0.56 (step @p42 :rule chain_m_resolution :premises (@p41 @p25) :args (@t30 @t35 @t36)) % 0.37/0.56 (step @p43 :rule bool-double-not-elim :args (@t32)) % 0.37/0.56 (step @p44 :rule nary_cong :premises (@p37 @p43) :args ((or @t34 (not @t33)))) % 0.37/0.56 (step @p45 :rule cnf_or_neg :args (@t34 0)) % 0.37/0.56 (step @p46 :rule eq_resolve :premises (@p45 @p44)) % 0.37/0.56 (step @p47 :rule reordering :premises (@p46) :args ((or @t32 @t34))) % 0.37/0.56 (step @p48 :rule chain_m_resolution :premises (@p47 @p25) :args (@t32 @t35 @t36)) % 0.37/0.56 (step @p49 :rule cnf_or_pos :args (@t42)) % 0.37/0.56 (step @p50 :rule reordering :premises (@p49) :args ((or @t33 @t31 @t43))) % 0.37/0.56 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p42) :args (@t43 (@list false false) (@list @t32 @t30))) % 0.37/0.56 (assume-push @p58 @t37) % 0.37/0.56 (step @p53 :rule instantiate :premises (@p35) :args ((@list @t29))) % 0.37/0.56 (step-pop @p59 :rule scope :premises (@p53)) % 0.37/0.56 (step @p54 :rule process_scope :premises (@p59) :args (@t42)) % 0.37/0.56 (step @p56 :rule implies_elim :premises (@p54)) % 0.37/0.56 (step @p57 false :rule chain_m_resolution :premises (@p56 @p51 @p35) :args (false @t41 (@list @t42 @t37))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------