%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO350^5 : 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 : n018.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 09:12:28 AM UTC 2026 % Result : Theorem 0.38s 0.55s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO350^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n018.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 00:04:50 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.38/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.55 % SZS status Theorem % 0.38/0.55 % SZS output start Proof % 0.38/0.55 ( % 0.38/0.55 (declare-sort $$unsorted 0) % 0.38/0.55 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.38/0.55 (declare-const tptp.p (-> (-> $$unsorted $$unsorted) Bool)) % 0.38/0.55 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 0.38/0.55 (define @t1 () (_ tptp.p tptp.g)) % 0.38/0.55 (define @t2 () (_ tptp.p tptp.f)) % 0.38/0.55 (define @t3 () (=> @t2 @t1)) % 0.38/0.55 (define @t4 () (@var "X" $$unsorted)) % 0.38/0.55 (define @t5 () (_ tptp.g @t4)) % 0.38/0.55 (define @t6 () (_ tptp.f @t4)) % 0.38/0.55 (define @t7 () (= @t6 @t5)) % 0.38/0.55 (define @t8 () (@list @t4)) % 0.38/0.55 (define @t9 () (forall @t8 @t7)) % 0.38/0.55 (define @t10 () (=> @t9 @t3)) % 0.38/0.55 (define @t11 () (not @t10)) % 0.38/0.55 (define @t12 () (tptp.p tptp.g)) % 0.38/0.55 (define @t13 () (tptp.p tptp.f)) % 0.38/0.55 (define @t14 () (tptp.g @t4)) % 0.38/0.55 (define @t15 () (tptp.f @t4)) % 0.38/0.55 (define @t16 () (forall @t8 (= @t15 @t14))) % 0.38/0.55 (define @t17 () (=> @t16 @t3)) % 0.38/0.55 (define @t18 () (= tptp.g tptp.f)) % 0.38/0.55 (define @t19 () (not @t18)) % 0.38/0.55 (define @t20 () (not @t13)) % 0.38/0.55 (define @t21 () (not @t12)) % 0.38/0.55 (define @t22 () (and @t21 @t18 @t13)) % 0.38/0.55 (define @t23 () (@list true false)) % 0.38/0.55 (define @t24 () (@const 0 $$unsorted)) % 0.38/0.55 (define @t25 () (tptp.f @t24)) % 0.38/0.55 (define @t26 () (tptp.g @t24)) % 0.38/0.55 (define @t27 () (= @t26 @t25)) % 0.38/0.55 (define @t28 () (not @t27)) % 0.38/0.55 (define @t29 () (= @t25 @t26)) % 0.38/0.55 (assume @p1 @t11) % 0.38/0.55 (assume @p2 true) % 0.38/0.55 (step @p3 :rule refl :args (@t12)) % 0.38/0.55 (step @p4 :rule refl :args (@t1)) % 0.38/0.55 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t1 @t12))) % 0.38/0.55 (step @p6 :rule symm :premises (@p5)) % 0.38/0.55 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.38/0.55 (step @p8 :rule refl :args (@t13)) % 0.38/0.55 (step @p9 :rule refl :args (@t2)) % 0.38/0.55 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t2 @t13))) % 0.38/0.55 (step @p11 :rule symm :premises (@p10)) % 0.38/0.55 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.38/0.55 (step @p13 :rule cong :premises (@p12 @p7) :args (@t3)) % 0.38/0.55 (step @p14 :rule refl :args (@t16)) % 0.38/0.55 (step @p15 :rule cong :premises (@p14 @p13) :args (@t17)) % 0.38/0.55 (step @p16 :rule cong :premises (@p15) :args ((not @t17))) % 0.38/0.55 (step @p17 :rule refl :args (@t3)) % 0.38/0.55 (step @p18 :rule refl :args (@t14)) % 0.38/0.55 (step @p19 :rule refl :args (@t5)) % 0.38/0.55 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t5 @t14))) % 0.38/0.55 (step @p21 :rule symm :premises (@p20)) % 0.38/0.55 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.38/0.55 (step @p23 :rule refl :args (@t15)) % 0.38/0.55 (step @p24 :rule refl :args (@t6)) % 0.38/0.55 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t6 @t15))) % 0.38/0.55 (step @p26 :rule symm :premises (@p25)) % 0.38/0.55 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.38/0.55 (step @p28 :rule cong :premises (@p27 @p22) :args (@t7)) % 0.38/0.55 (step @p29 :rule cong :premises (@p28) :args (@t9)) % 0.38/0.55 (step @p30 :rule cong :premises (@p29 @p17) :args (@t10)) % 0.38/0.55 (step @p31 :rule cong :premises (@p30) :args (@t11)) % 0.38/0.55 (step @p32 :rule trans :premises (@p31 @p16)) % 0.38/0.55 (step @p33 :rule eq_resolve :premises (@p1 @p32)) % 0.38/0.55 (step @p34 :rule not_implies_elim1 :premises (@p33)) % 0.38/0.55 (step @p35 :rule not_implies_elim2 :premises (@p33)) % 0.38/0.55 (step @p36 :rule not_implies_elim1 :premises (@p35)) % 0.38/0.55 (step @p37 :rule not_implies_elim2 :premises (@p35)) % 0.38/0.55 (step @p38 :rule refl :args (@t19)) % 0.38/0.55 (step @p39 :rule bool-double-not-elim :args (@t12)) % 0.38/0.55 (step @p40 :rule refl :args (@t20)) % 0.38/0.55 (step @p41 :rule nary_cong :premises (@p40 @p39 @p38) :args ((or @t20 (not @t21) @t19))) % 0.38/0.55 (assume-push @p82 @t21) % 0.38/0.55 (assume-push @p83 @t18) % 0.38/0.55 (assume-push @p84 @t13) % 0.38/0.55 (step @p45 :rule evaluate :args ((= true false))) % 0.38/0.55 (step @p46 :rule false_intro :premises (@p37)) % 0.38/0.55 (step @p47 :rule symm :premises (@p83)) % 0.38/0.55 (step @p48 :rule cong :premises (@p47) :args (@t13)) % 0.38/0.55 (step @p49 :rule true_intro :premises (@p36)) % 0.38/0.55 (step @p50 :rule symm :premises (@p49)) % 0.38/0.55 (step @p51 :rule trans :premises (@p50 @p48 @p46)) % 0.38/0.55 (step @p52 false :rule eq_resolve :premises (@p51 @p45)) % 0.38/0.55 (step-pop @p85 :rule scope :premises (@p52)) % 0.38/0.55 (step-pop @p86 :rule scope :premises (@p85)) % 0.38/0.55 (step-pop @p87 :rule scope :premises (@p86)) % 0.38/0.55 (step @p53 :rule process_scope :premises (@p87) :args (false)) % 0.38/0.55 (assume-push @p88 @t13) % 0.38/0.55 (assume-push @p89 @t21) % 0.38/0.55 (assume-push @p90 @t18) % 0.38/0.55 (step @p60 :rule and_intro :premises (@p37 @p90 @p36)) % 0.38/0.55 (step-pop @p91 :rule scope :premises (@p60)) % 0.38/0.55 (step-pop @p92 :rule scope :premises (@p91)) % 0.38/0.56 (step-pop @p93 :rule scope :premises (@p92)) % 0.38/0.56 (step @p61 :rule process_scope :premises (@p93) :args (@t22)) % 0.38/0.56 (step @p65 :rule implies_elim :premises (@p61)) % 0.38/0.56 (step @p66 :rule resolution :premises (@p65 @p53) :args (true @t22)) % 0.38/0.56 (step @p67 :rule not_and :premises (@p66)) % 0.38/0.56 (step @p68 :rule eq_resolve :premises (@p67 @p41)) % 0.38/0.56 (step @p69 :rule reordering :premises (@p68) :args ((or @t12 @t20 @t19))) % 0.38/0.56 (step @p70 :rule chain_m_resolution :premises (@p69 @p37 @p36) :args (@t19 @t23 (@list @t12 @t13))) % 0.38/0.56 ; WARNING: add trust step for TRUST % 0.38/0.56 ; trust TRUST THEORY_LEMMA % 0.38/0.56 (step @p71 :rule trust :premises () :args ((or @t18 @t28))) % 0.38/0.56 (step @p72 :rule chain_m_resolution :premises (@p71 @p70) :args (@t28 (@list true) (@list @t18))) % 0.38/0.56 (step @p73 :rule eq-symm :args (@t25 @t26)) % 0.38/0.56 (step @p74 :rule cong :premises (@p14 @p73) :args ((=> @t16 @t29))) % 0.38/0.56 (assume-push @p94 @t16) % 0.38/0.56 (step @p76 :rule instantiate :premises (@p34) :args ((@list @t24))) % 0.38/0.56 (step-pop @p95 :rule scope :premises (@p76)) % 0.38/0.56 (step @p77 :rule process_scope :premises (@p95) :args (@t29)) % 0.38/0.56 (step @p79 :rule eq_resolve :premises (@p77 @p74)) % 0.38/0.56 (step @p80 :rule implies_elim :premises (@p79)) % 0.38/0.56 (step @p81 false :rule chain_m_resolution :premises (@p80 @p72 @p34) :args (false @t23 (@list @t27 @t16))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------