%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET608^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:48:12 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET608^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n009.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 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:04:29 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.50 %----Proving TH0 % 0.37/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort tptp.a 0) % 0.37/0.56 (define @t1 () (@var "X" (-> tptp.a Bool))) % 0.37/0.56 (define @t2 () (@var "Xz" tptp.a)) % 0.37/0.56 (define @t3 () (@var "Y" (-> tptp.a Bool))) % 0.37/0.56 (define @t4 () (_ @t3 @t2)) % 0.37/0.56 (define @t5 () (not @t4)) % 0.37/0.56 (define @t6 () (_ @t1 @t2)) % 0.37/0.56 (define @t7 () (and @t6 @t5)) % 0.37/0.56 (define @t8 () (and @t6 @t4)) % 0.37/0.56 (define @t9 () (or @t8 @t7)) % 0.37/0.56 (define @t10 () (@list @t2)) % 0.37/0.56 (define @t11 () (lambda @t10 @t9)) % 0.37/0.56 (define @t12 () (@list @t1 @t3)) % 0.37/0.56 (define @t13 () (forall @t12 (= @t11 @t1))) % 0.37/0.56 (define @t14 () (not @t13)) % 0.37/0.56 (define @t15 () (_ @t3 @t2)) % 0.37/0.56 (define @t16 () (_ @t1 @t2)) % 0.37/0.56 (define @t17 () (= @t1 @t11)) % 0.37/0.56 (define @t18 () (forall @t12 (= @t1 (lambda @t10 (or (and @t16 @t15) (and @t16 (not @t15))))))) % 0.37/0.56 (define @t19 () (@quantifiers_skolemize @t18 1)) % 0.37/0.56 (define @t20 () (_ @t19 @t2)) % 0.37/0.56 (define @t21 () (@quantifiers_skolemize @t18 0)) % 0.37/0.56 (define @t22 () (_ @t21 @t2)) % 0.37/0.56 (define @t23 () (lambda @t10 (or (and @t22 @t20) (and @t22 (not @t20))))) % 0.37/0.56 (define @t24 () (@purify @t23)) % 0.37/0.56 (define @t25 () (= @t21 @t24)) % 0.37/0.56 (define @t26 () (not @t25)) % 0.37/0.56 (define @t27 () (not @t18)) % 0.37/0.56 (define @t28 () (= @t21 @t23)) % 0.37/0.56 (define @t29 () (not @t28)) % 0.37/0.56 (define @t30 () (@list true)) % 0.37/0.56 (define @t31 () (@const 0 tptp.a)) % 0.37/0.56 (define @t32 () (_ @t19 @t31)) % 0.37/0.56 (define @t33 () (not @t32)) % 0.37/0.56 (define @t34 () (_ @t21 @t31)) % 0.37/0.56 (define @t35 () (and @t34 @t33)) % 0.37/0.56 (define @t36 () (and @t34 @t32)) % 0.37/0.56 (define @t37 () (or @t36 @t35)) % 0.37/0.56 (define @t38 () (= (_ @t23 @t31) @t37)) % 0.37/0.56 (define @t39 () (_ @t24 @t31)) % 0.37/0.56 (define @t40 () (= @t34 @t39)) % 0.37/0.56 (define @t41 () (not @t40)) % 0.37/0.56 (define @t42 () (or @t25 @t41)) % 0.37/0.56 (define @t43 () (= @t34 @t37)) % 0.37/0.56 (define @t44 () (not @t34)) % 0.37/0.56 (define @t45 () (not @t36)) % 0.37/0.56 (define @t46 () (@list @t34)) % 0.37/0.56 (define @t47 () (not @t35)) % 0.37/0.56 (assume @p1 @t14) % 0.37/0.56 (assume @p2 true) % 0.37/0.56 (step @p3 :rule refl :args (@t15)) % 0.37/0.56 (step @p4 :rule refl :args (@t4)) % 0.37/0.56 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t4 @t15))) % 0.37/0.56 (step @p6 :rule symm :premises (@p5)) % 0.37/0.56 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.37/0.56 (step @p8 :rule cong :premises (@p7) :args (@t5)) % 0.37/0.56 (step @p9 :rule refl :args (@t16)) % 0.37/0.56 (step @p10 :rule refl :args (@t6)) % 0.37/0.56 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t6 @t16))) % 0.37/0.56 (step @p12 :rule symm :premises (@p11)) % 0.37/0.56 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.37/0.56 (step @p14 :rule nary_cong :premises (@p13 @p8) :args (@t7)) % 0.37/0.56 (step @p15 :rule nary_cong :premises (@p13 @p7) :args (@t8)) % 0.37/0.56 (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t9)) % 0.37/0.56 (step @p17 :rule cong :premises (@p16) :args (@t11)) % 0.37/0.56 (step @p18 :rule refl :args (@t1)) % 0.37/0.56 (step @p19 :rule cong :premises (@p18 @p17) :args (@t17)) % 0.37/0.56 (step @p20 :rule cong :premises (@p19) :args ((forall @t12 @t17))) % 0.37/0.56 (step @p21 :rule eq-symm :args (@t11 @t1)) % 0.37/0.56 (step @p22 :rule cong :premises (@p21) :args (@t13)) % 0.37/0.56 (step @p23 :rule trans :premises (@p22 @p20)) % 0.37/0.56 (step @p24 :rule cong :premises (@p23) :args (@t14)) % 0.37/0.56 (step @p25 :rule eq_resolve :premises (@p1 @p24)) % 0.37/0.56 (step @p26 :rule refl :args (@t26)) % 0.37/0.56 (step @p27 :rule bool-double-not-elim :args (@t18)) % 0.37/0.56 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or (not @t27) @t26))) % 0.37/0.56 (step @p29 :rule eq-refl :args (@t23)) % 0.37/0.56 (step @p30 :rule skolem_intro :args (@t24)) % 0.37/0.56 (step @p31 :rule refl :args (@t23)) % 0.37/0.56 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t23 @t24))) % 0.37/0.56 (step @p33 :rule trans :premises (@p32 @p29)) % 0.37/0.56 (step @p34 :rule true_elim :premises (@p33)) % 0.37/0.56 (step @p35 :rule refl :args (@t21)) % 0.37/0.56 (step @p36 :rule cong :premises (@p35 @p34) :args (@t28)) % 0.37/0.56 (step @p37 :rule cong :premises (@p36) :args (@t29)) % 0.37/0.56 (step @p38 :rule refl :args (@t27)) % 0.37/0.56 (step @p39 :rule cong :premises (@p38 @p37) :args ((=> @t27 @t29))) % 0.37/0.56 (assume-push @p91 @t27) % 0.37/0.56 (step @p41 :rule skolemize :premises (@p25)) % 0.37/0.56 (step-pop @p92 :rule scope :premises (@p41)) % 0.37/0.56 (step @p42 :rule process_scope :premises (@p92) :args (@t29)) % 0.37/0.56 (step @p44 :rule eq_resolve :premises (@p42 @p39)) % 0.37/0.56 (step @p45 :rule implies_elim :premises (@p44)) % 0.37/0.56 (step @p46 :rule eq_resolve :premises (@p45 @p28)) % 0.37/0.56 (step @p47 :rule chain_m_resolution :premises (@p46 @p25) :args (@t26 @t30 (@list @t18))) % 0.37/0.56 (step @p48 :rule eq-refl :args (@t37)) % 0.37/0.56 (step @p49 :rule refl :args (@t37)) % 0.37/0.56 (step @p50 :rule beta-reduce :args (@t38)) % 0.37/0.56 (step @p51 :rule cong :premises (@p50 @p49) :args (@t38)) % 0.37/0.56 (step @p52 :rule trans :premises (@p51 @p48)) % 0.37/0.56 (step @p53 :rule refl :args (@t31)) % 0.37/0.56 (step @p54 :rule ho_cong :premises (@p30 @p53)) % 0.37/0.56 (step @p55 :rule cong :premises (@p54 @p49) :args ((= @t39 @t37))) % 0.37/0.56 (step @p56 :rule trans :premises (@p55 @p52)) % 0.37/0.56 (step @p57 :rule true_elim :premises (@p56)) % 0.37/0.56 (step @p58 :rule refl :args (@t34)) % 0.37/0.56 (step @p59 :rule cong :premises (@p58 @p57) :args (@t40)) % 0.37/0.56 (step @p60 :rule cong :premises (@p59) :args (@t41)) % 0.37/0.56 (step @p61 :rule refl :args (@t25)) % 0.37/0.56 (step @p62 :rule nary_cong :premises (@p61 @p60) :args (@t42)) % 0.37/0.56 ; WARNING: add trust step for TRUST % 0.37/0.56 ; trust TRUST THEORY_LEMMA % 0.37/0.56 (step @p63 :rule trust :premises () :args (@t42)) % 0.37/0.56 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.37/0.56 (step @p65 :rule chain_m_resolution :premises (@p64 @p47) :args ((not @t43) @t30 (@list @t25))) % 0.37/0.56 (step @p66 :rule cnf_equiv_neg2 :args (@t43)) % 0.37/0.56 (step @p67 :rule cnf_or_neg :args (@t37 0)) % 0.37/0.56 (step @p68 :rule cnf_or_neg :args (@t37 1)) % 0.37/0.56 (step @p69 :rule cnf_and_neg :args (@t36)) % 0.37/0.56 (step @p70 :rule reordering :premises (@p69) :args ((or @t36 @t33 @t44))) % 0.37/0.56 (step @p71 :rule bool-double-not-elim :args (@t32)) % 0.37/0.56 (step @p72 :rule refl :args (@t44)) % 0.37/0.56 (step @p73 :rule refl :args (@t35)) % 0.37/0.56 (step @p74 :rule nary_cong :premises (@p73 @p72 @p71) :args ((or @t35 @t44 (not @t33)))) % 0.37/0.56 (step @p75 :rule cnf_and_neg :args (@t35)) % 0.37/0.56 (step @p76 :rule eq_resolve :premises (@p75 @p74)) % 0.37/0.56 (step @p77 :rule reordering :premises (@p76) :args ((or @t32 @t35 @t44))) % 0.37/0.56 (step @p78 :rule chain_m_resolution :premises (@p77 @p70 @p68 @p67 @p66 @p65) :args (@t44 (@list true true true true true) (@list @t32 @t35 @t36 @t37 @t43))) % 0.37/0.56 (step @p79 :rule cnf_and_pos :args (@t36 0)) % 0.37/0.56 (step @p80 :rule reordering :premises (@p79) :args ((or @t34 @t45))) % 0.37/0.56 (step @p81 :rule chain_m_resolution :premises (@p80 @p78) :args (@t45 @t30 @t46)) % 0.37/0.56 (step @p82 :rule cnf_and_pos :args (@t35 0)) % 0.37/0.56 (step @p83 :rule reordering :premises (@p82) :args ((or @t34 @t47))) % 0.37/0.56 (step @p84 :rule chain_m_resolution :premises (@p83 @p78) :args (@t47 @t30 @t46)) % 0.37/0.56 (step @p85 :rule cnf_equiv_neg1 :args (@t43)) % 0.37/0.56 (step @p86 :rule reordering :premises (@p85) :args ((or @t34 @t37 @t43))) % 0.37/0.56 (step @p87 :rule chain_m_resolution :premises (@p86 @p78 @p65) :args (@t37 (@list true true) (@list @t34 @t43))) % 0.37/0.56 (step @p88 :rule cnf_or_pos :args (@t37)) % 0.37/0.56 (step @p89 :rule reordering :premises (@p88) :args ((or @t36 @t35 (not @t37)))) % 0.37/0.56 (step @p90 false :rule chain_m_resolution :premises (@p89 @p87 @p84 @p81) :args (false (@list false true true) (@list @t37 @t35 @t36))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------