%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET576+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 : 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 08:48:04 AM UTC 2026 % Result : Theorem 0.28s 0.55s % Output : Proof 0.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET576+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.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 16:03:01 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.28/0.55 % SZS status Theorem % 0.28/0.55 % SZS output start Proof % 0.28/0.55 ( % 0.28/0.55 (declare-sort $$unsorted 0) % 0.28/0.55 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.28/0.55 (declare-const tptp.intersect (-> $$unsorted $$unsorted Bool)) % 0.28/0.55 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.28/0.55 (define @t1 () (@var "C" $$unsorted)) % 0.28/0.55 (define @t2 () (@var "D" $$unsorted)) % 0.28/0.55 (define @t3 () (tptp.member @t2 @t1)) % 0.28/0.55 (define @t4 () (@var "B" $$unsorted)) % 0.28/0.55 (define @t5 () (tptp.member @t2 @t4)) % 0.28/0.55 (define @t6 () (and @t5 @t3)) % 0.28/0.55 (define @t7 () (@list @t2)) % 0.28/0.55 (define @t8 () (exists @t7 @t6)) % 0.28/0.55 (define @t9 () (tptp.intersect @t4 @t1)) % 0.28/0.55 (define @t10 () (= @t9 @t8)) % 0.28/0.55 (define @t11 () (@list @t4 @t1)) % 0.28/0.55 (define @t12 () (forall @t11 @t10)) % 0.28/0.55 (define @t13 () (tptp.disjoint @t4 @t1)) % 0.28/0.55 (define @t14 () (not @t3)) % 0.28/0.55 (define @t15 () (forall @t7 (=> @t5 @t14))) % 0.28/0.55 (define @t16 () (=> @t15 @t13)) % 0.28/0.55 (define @t17 () (forall @t11 @t16)) % 0.28/0.55 (define @t18 () (not @t17)) % 0.28/0.55 (define @t19 () (forall @t7 (not @t6))) % 0.28/0.55 (define @t20 () (not @t19)) % 0.28/0.55 (define @t21 () (forall @t7 (or (not @t5) @t14))) % 0.28/0.55 (define @t22 () (not @t21)) % 0.28/0.55 (define @t23 () (forall @t11 (or @t22 @t13))) % 0.28/0.55 (define @t24 () (@quantifiers_skolemize @t23 1)) % 0.28/0.55 (define @t25 () (@quantifiers_skolemize @t23 0)) % 0.28/0.55 (define @t26 () (@list @t25 @t24)) % 0.28/0.55 (define @t27 () (tptp.disjoint @t25 @t24)) % 0.28/0.55 (define @t28 () (forall @t7 (or (not (tptp.member @t2 @t25)) (not (tptp.member @t2 @t24))))) % 0.28/0.55 (define @t29 () (not @t28)) % 0.28/0.55 (define @t30 () (or @t29 @t27)) % 0.28/0.55 (define @t31 () (@list true)) % 0.28/0.55 (define @t32 () (@list @t30)) % 0.28/0.55 (define @t33 () (tptp.intersect @t25 @t24)) % 0.28/0.55 (define @t34 () (not @t33)) % 0.28/0.55 (define @t35 () (= @t27 @t34)) % 0.28/0.55 (define @t36 () (not @t35)) % 0.28/0.55 (define @t37 () (@list true false)) % 0.28/0.55 (define @t38 () (= @t29 @t33)) % 0.28/0.55 (define @t39 () (not @t38)) % 0.28/0.55 (define @t40 () (forall @t11 (= @t9 @t22))) % 0.28/0.55 (define @t41 () (= @t33 @t29)) % 0.28/0.55 (assume @p1 @t12) % 0.28/0.55 (assume @p2 (forall @t11 (= @t13 (not @t9)))) % 0.28/0.55 (assume @p3 (forall @t11 (=> @t9 (tptp.intersect @t1 @t4)))) % 0.28/0.55 (assume @p4 @t18) % 0.28/0.55 (assume @p5 true) % 0.28/0.55 (step @p6 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.28/0.55 (step @p7 :rule cong :premises (@p6) :args (@t19)) % 0.28/0.55 (step @p8 :rule cong :premises (@p7) :args (@t20)) % 0.28/0.55 (step @p9 :rule exists-elim :args ((= @t8 @t20))) % 0.28/0.55 (step @p10 :rule trans :premises (@p9 @p8)) % 0.28/0.55 (step @p11 :rule refl :args (@t9)) % 0.28/0.55 (step @p12 :rule cong :premises (@p11 @p10) :args (@t10)) % 0.28/0.55 (step @p13 :rule cong :premises (@p12) :args (@t12)) % 0.28/0.55 (step @p14 :rule eq_resolve :premises (@p1 @p13)) % 0.28/0.55 (step @p15 :rule instantiate :premises (@p2) :args (@t26)) % 0.28/0.55 (step @p16 :rule bool-impl-elim :args (@t21 @t13)) % 0.28/0.55 (step @p17 :rule cong :premises (@p16) :args ((forall @t11 (=> @t21 @t13)))) % 0.28/0.55 (step @p18 :rule refl :args (@t13)) % 0.28/0.55 (step @p19 :rule bool-impl-elim :args (@t5 @t14)) % 0.28/0.55 (step @p20 :rule cong :premises (@p19) :args (@t15)) % 0.28/0.55 (step @p21 :rule cong :premises (@p20 @p18) :args (@t16)) % 0.28/0.55 (step @p22 :rule cong :premises (@p21) :args (@t17)) % 0.28/0.55 (step @p23 :rule trans :premises (@p22 @p17)) % 0.28/0.55 (step @p24 :rule cong :premises (@p23) :args (@t18)) % 0.28/0.55 (step @p25 :rule eq_resolve :premises (@p4 @p24)) % 0.28/0.55 (step @p26 :rule skolemize :premises (@p25)) % 0.28/0.55 (step @p27 :rule cnf_or_neg :args (@t30 1)) % 0.28/0.55 (step @p28 :rule chain_m_resolution :premises (@p27 @p26) :args ((not @t27) @t31 @t32)) % 0.28/0.55 (step @p29 :rule bool-double-not-elim :args (@t33)) % 0.28/0.55 (step @p30 :rule refl :args (@t27)) % 0.28/0.55 (step @p31 :rule refl :args (@t36)) % 0.28/0.55 (step @p32 :rule nary_cong :premises (@p31 @p30 @p29) :args ((or @t36 @t27 (not @t34)))) % 0.28/0.55 (step @p33 :rule cnf_equiv_pos2 :args (@t35)) % 0.28/0.55 (step @p34 :rule eq_resolve :premises (@p33 @p32)) % 0.28/0.55 (step @p35 :rule reordering :premises (@p34) :args ((or @t27 @t33 @t36))) % 0.28/0.55 (step @p36 :rule chain_m_resolution :premises (@p35 @p28 @p15) :args (@t33 @t37 (@list @t27 @t35))) % 0.28/0.55 (step @p37 :rule bool-double-not-elim :args (@t28)) % 0.28/0.55 (step @p38 :rule refl :args (@t30)) % 0.28/0.55 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t30 (not @t29)))) % 0.28/0.55 (step @p40 :rule cnf_or_neg :args (@t30 0)) % 0.28/0.55 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 0.28/0.55 (step @p42 :rule reordering :premises (@p41) :args ((or @t28 @t30))) % 0.28/0.55 (step @p43 :rule chain_m_resolution :premises (@p42 @p26) :args (@t28 @t31 @t32)) % 0.28/0.55 (step @p44 :rule cnf_equiv_pos2 :args (@t38)) % 0.28/0.55 (step @p45 :rule reordering :premises (@p44) :args ((or @t29 @t34 @t39))) % 0.28/0.55 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p36) :args (@t39 (@list false false) (@list @t28 @t33))) % 0.28/0.55 (step @p47 :rule eq-symm :args (@t33 @t29)) % 0.28/0.55 (step @p48 :rule refl :args (@t40)) % 0.28/0.55 (step @p49 :rule cong :premises (@p48 @p47) :args ((=> @t40 @t41))) % 0.28/0.55 (assume-push @p57 @t40) % 0.28/0.55 (step @p51 :rule instantiate :premises (@p14) :args (@t26)) % 0.28/0.55 (step-pop @p58 :rule scope :premises (@p51)) % 0.28/0.55 (step @p52 :rule process_scope :premises (@p58) :args (@t41)) % 0.28/0.55 (step @p54 :rule eq_resolve :premises (@p52 @p49)) % 0.28/0.55 (step @p55 :rule implies_elim :premises (@p54)) % 0.28/0.55 (step @p56 false :rule chain_m_resolution :premises (@p55 @p46 @p14) :args (false @t37 (@list @t38 @t40))) % 0.28/0.55 ) % 0.28/0.55 % SZS output end Proof % 0.28/0.56 % cvc5 exiting %------------------------------------------------------------------------------