%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO314^5 : 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 : n028.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 09:12:25 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO314^5 : 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 % 0.16/0.34 % Computer : n028.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 00:03:05 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.38/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.z $$unsorted) % 0.38/0.56 (define @t1 () (@var "Xy" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "Xp" (-> $$unsorted Bool))) % 0.38/0.56 (define @t3 () (_ @t2 @t1)) % 0.38/0.56 (define @t4 () (not @t3)) % 0.38/0.56 (define @t5 () (@var "Xx" $$unsorted)) % 0.38/0.56 (define @t6 () (_ @t2 @t5)) % 0.38/0.56 (define @t7 () (@var "Xq" (-> $$unsorted Bool))) % 0.38/0.56 (define @t8 () (_ @t7 @t1)) % 0.38/0.56 (define @t9 () (_ @t7 tptp.z)) % 0.38/0.56 (define @t10 () (not @t9)) % 0.38/0.56 (define @t11 () (and @t10 @t8 @t6 @t4)) % 0.38/0.56 (define @t12 () (@list @t2 @t7 @t5 @t1)) % 0.38/0.56 (define @t13 () (exists @t12 @t11)) % 0.38/0.56 (define @t14 () (and @t6 @t4 @t8 @t10)) % 0.38/0.56 (define @t15 () (exists @t12 @t14)) % 0.38/0.56 (define @t16 () (= @t15 @t13)) % 0.38/0.56 (define @t17 () (not @t16)) % 0.38/0.56 (define @t18 () (_ @t7 tptp.z)) % 0.38/0.56 (define @t19 () (_ @t7 @t1)) % 0.38/0.56 (define @t20 () (not @t19)) % 0.38/0.56 (define @t21 () (_ @t2 @t1)) % 0.38/0.56 (define @t22 () (_ @t2 @t5)) % 0.38/0.56 (define @t23 () (not @t22)) % 0.38/0.56 (define @t24 () (or @t23 @t21 @t20 @t18)) % 0.38/0.56 (define @t25 () (or @t18 @t20 @t23 @t21)) % 0.38/0.56 (define @t26 () (forall @t12 @t25)) % 0.38/0.56 (define @t27 () (forall @t12 @t24)) % 0.38/0.56 (define @t28 () (not @t6)) % 0.38/0.56 (define @t29 () (not @t8)) % 0.38/0.56 (define @t30 () (or @t9 @t29 @t28 @t3)) % 0.38/0.56 (define @t31 () (not @t4)) % 0.38/0.56 (define @t32 () (not @t10)) % 0.38/0.56 (define @t33 () (or @t32 @t29 @t28 @t31)) % 0.38/0.56 (define @t34 () (forall @t12 (not @t11))) % 0.38/0.56 (define @t35 () (not @t34)) % 0.38/0.56 (define @t36 () (or @t28 @t3 @t29 @t9)) % 0.38/0.56 (define @t37 () (or @t28 @t31 @t29 @t32)) % 0.38/0.56 (define @t38 () (forall @t12 (not @t14))) % 0.38/0.56 (define @t39 () (not @t38)) % 0.38/0.56 (assume @p1 @t17) % 0.38/0.56 (assume @p2 true) % 0.38/0.56 (step @p3 :rule aci_norm :args ((= @t25 @t24))) % 0.38/0.56 (step @p4 :rule cong :premises (@p3) :args (@t26)) % 0.38/0.56 (step @p5 :rule true_intro :premises (@p4)) % 0.38/0.56 (step @p6 :rule eq-symm :args (@t27 @t26)) % 0.38/0.56 (step @p7 :rule trans :premises (@p6 @p5)) % 0.38/0.56 (step @p8 :rule true_elim :premises (@p7)) % 0.38/0.56 (step @p9 :rule equiv_elim2 :premises (@p8)) % 0.38/0.56 (step @p10 :rule bool-double-not-elim :args (@t26)) % 0.38/0.56 (step @p11 :rule bool-double-not-elim :args (@t27)) % 0.38/0.56 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or (not (not @t27)) (not (not @t26))))) % 0.38/0.56 (step @p13 :rule refl :args (@t21)) % 0.38/0.56 (step @p14 :rule refl :args (@t3)) % 0.38/0.56 (step @p15 :rule cong :premises (@p14 @p13) :args ((= @t3 @t21))) % 0.38/0.56 (step @p16 :rule symm :premises (@p15)) % 0.38/0.56 (step @p17 :rule eq_resolve :premises (@p14 @p16)) % 0.38/0.56 (step @p18 :rule refl :args (@t22)) % 0.38/0.56 (step @p19 :rule refl :args (@t6)) % 0.38/0.56 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t6 @t22))) % 0.38/0.56 (step @p21 :rule symm :premises (@p20)) % 0.38/0.56 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.38/0.56 (step @p23 :rule cong :premises (@p22) :args (@t28)) % 0.38/0.56 (step @p24 :rule refl :args (@t19)) % 0.38/0.56 (step @p25 :rule refl :args (@t8)) % 0.38/0.56 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t8 @t19))) % 0.38/0.56 (step @p27 :rule symm :premises (@p26)) % 0.38/0.56 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.38/0.56 (step @p29 :rule cong :premises (@p28) :args (@t29)) % 0.38/0.56 (step @p30 :rule refl :args (@t18)) % 0.38/0.56 (step @p31 :rule refl :args (@t9)) % 0.38/0.56 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t9 @t18))) % 0.38/0.56 (step @p33 :rule symm :premises (@p32)) % 0.38/0.56 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.38/0.56 (step @p35 :rule nary_cong :premises (@p34 @p29 @p23 @p17) :args (@t30)) % 0.38/0.56 (step @p36 :rule cong :premises (@p35) :args ((forall @t12 @t30))) % 0.38/0.56 (step @p37 :rule bool-double-not-elim :args (@t3)) % 0.38/0.56 (step @p38 :rule refl :args (@t28)) % 0.38/0.56 (step @p39 :rule refl :args (@t29)) % 0.38/0.56 (step @p40 :rule bool-double-not-elim :args (@t9)) % 0.38/0.56 (step @p41 :rule nary_cong :premises (@p40 @p39 @p38 @p37) :args (@t33)) % 0.38/0.56 (step @p42 :rule aci_norm :args ((= (or @t32 (or @t29 (or @t28 @t31))) @t33))) % 0.38/0.56 (step @p43 :rule trans :premises (@p42 @p41)) % 0.38/0.56 (step @p44 :rule bool-and-de-morgan :args (@t6 @t4 true)) % 0.38/0.56 (step @p45 :rule nary_cong :premises (@p39 @p44) :args ((or @t29 (not (and @t6 @t4))))) % 0.38/0.56 (step @p46 :rule bool-and-de-morgan :args (@t8 @t6 (and @t4))) % 0.38/0.56 (step @p47 :rule trans :premises (@p46 @p45)) % 0.38/0.56 (step @p48 :rule refl :args (@t32)) % 0.38/0.56 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t32 (not (and @t8 @t6 @t4))))) % 0.38/0.56 (step @p50 :rule bool-and-de-morgan :args (@t10 @t8 (and @t6 @t4))) % 0.38/0.56 (step @p51 :rule trans :premises (@p50 @p49)) % 0.38/0.56 (step @p52 :rule trans :premises (@p51 @p43)) % 0.38/0.56 (step @p53 :rule cong :premises (@p52) :args (@t34)) % 0.38/0.56 (step @p54 :rule trans :premises (@p53 @p36)) % 0.38/0.56 (step @p55 :rule cong :premises (@p54) :args (@t35)) % 0.38/0.56 (step @p56 :rule exists-elim :args ((= @t13 @t35))) % 0.38/0.56 (step @p57 :rule trans :premises (@p56 @p55)) % 0.38/0.56 (step @p58 :rule nary_cong :premises (@p23 @p17 @p29 @p34) :args (@t36)) % 0.38/0.56 (step @p59 :rule cong :premises (@p58) :args ((forall @t12 @t36))) % 0.38/0.56 (step @p60 :rule nary_cong :premises (@p38 @p37 @p39 @p40) :args (@t37)) % 0.38/0.56 (step @p61 :rule aci_norm :args ((= (or @t28 (or @t31 (or @t29 @t32))) @t37))) % 0.38/0.56 (step @p62 :rule trans :premises (@p61 @p60)) % 0.38/0.56 (step @p63 :rule bool-and-de-morgan :args (@t8 @t10 true)) % 0.38/0.56 (step @p64 :rule refl :args (@t31)) % 0.38/0.56 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t31 (not (and @t8 @t10))))) % 0.38/0.56 (step @p66 :rule bool-and-de-morgan :args (@t4 @t8 (and @t10))) % 0.38/0.56 (step @p67 :rule trans :premises (@p66 @p65)) % 0.38/0.56 (step @p68 :rule nary_cong :premises (@p38 @p67) :args ((or @t28 (not (and @t4 @t8 @t10))))) % 0.38/0.56 (step @p69 :rule bool-and-de-morgan :args (@t6 @t4 (and @t8 @t10))) % 0.38/0.56 (step @p70 :rule trans :premises (@p69 @p68)) % 0.38/0.56 (step @p71 :rule trans :premises (@p70 @p62)) % 0.38/0.56 (step @p72 :rule cong :premises (@p71) :args (@t38)) % 0.38/0.56 (step @p73 :rule trans :premises (@p72 @p59)) % 0.38/0.56 (step @p74 :rule cong :premises (@p73) :args (@t39)) % 0.38/0.56 (step @p75 :rule exists-elim :args ((= @t15 @t39))) % 0.38/0.56 (step @p76 :rule trans :premises (@p75 @p74)) % 0.38/0.56 (step @p77 :rule cong :premises (@p76 @p57) :args (@t16)) % 0.38/0.56 (step @p78 :rule cong :premises (@p77) :args (@t17)) % 0.38/0.56 (step @p79 :rule eq_resolve :premises (@p1 @p78)) % 0.38/0.56 (step @p80 :rule not_equiv_elim2 :premises (@p79)) % 0.38/0.56 (step @p81 :rule eq_resolve :premises (@p80 @p12)) % 0.38/0.56 (step @p82 :rule chain_m_resolution :premises (@p81 @p9) :args (@t27 (@list true) (@list @t26))) % 0.38/0.56 (step @p83 :rule equiv_elim1 :premises (@p8)) % 0.38/0.56 (step @p84 :rule chain_m_resolution :premises (@p83 @p82) :args (@t26 (@list false) (@list @t27))) % 0.38/0.56 (step @p85 :rule not_equiv_elim1 :premises (@p79)) % 0.38/0.56 (step @p86 false :rule chain_m_resolution :premises (@p85 @p84 @p82) :args (false (@list false false) (@list @t26 @t27))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------