%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO256^5 : 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 : n015.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 09:12:19 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO256^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n015.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 00:01:49 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.37/0.58 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort tptp.a 0) % 0.37/0.58 (define @t1 () (@var "Xx" tptp.a)) % 0.37/0.58 (define @t2 () (@var "Xq" (-> tptp.a Bool))) % 0.37/0.58 (define @t3 () (_ @t2 @t1)) % 0.37/0.58 (define @t4 () (@var "Xp" (-> tptp.a Bool))) % 0.37/0.58 (define @t5 () (_ @t4 @t1)) % 0.37/0.58 (define @t6 () (or @t5 @t3)) % 0.37/0.58 (define @t7 () (@list @t1)) % 0.37/0.58 (define @t8 () (forall @t7 @t6)) % 0.37/0.58 (define @t9 () (@var "Xr" (-> Bool Bool))) % 0.37/0.58 (define @t10 () (_ @t9 @t8)) % 0.37/0.58 (define @t11 () (@var "Xh" Bool)) % 0.37/0.58 (define @t12 () (_ @t9 @t11)) % 0.37/0.58 (define @t13 () (= @t12 @t10)) % 0.37/0.58 (define @t14 () (@list @t11)) % 0.37/0.58 (define @t15 () (exists @t14 @t13)) % 0.37/0.58 (define @t16 () (@list @t9 @t4 @t2)) % 0.37/0.58 (define @t17 () (forall @t16 @t15)) % 0.37/0.58 (define @t18 () (not @t17)) % 0.37/0.58 (define @t19 () (_ @t9 @t11)) % 0.37/0.58 (define @t20 () (not @t12)) % 0.37/0.58 (define @t21 () (_ @t2 @t1)) % 0.37/0.58 (define @t22 () (_ @t4 @t1)) % 0.37/0.58 (define @t23 () (or @t22 @t21)) % 0.37/0.58 (define @t24 () (forall @t7 @t23)) % 0.37/0.58 (define @t25 () (_ @t9 @t24)) % 0.37/0.58 (define @t26 () (_ @t9 @t24)) % 0.37/0.58 (define @t27 () (= @t26 @t20)) % 0.37/0.58 (define @t28 () (= @t12 @t26)) % 0.37/0.58 (define @t29 () (forall @t14 (not @t28))) % 0.37/0.58 (define @t30 () (not @t29)) % 0.37/0.58 (define @t31 () (forall @t16 (not (forall @t14 (= @t25 (not @t19)))))) % 0.37/0.58 (define @t32 () (@quantifiers_skolemize @t31 0)) % 0.37/0.58 (define @t33 () (forall @t7 (or (_ (@quantifiers_skolemize @t31 1) @t1) (_ (@quantifiers_skolemize @t31 2) @t1)))) % 0.37/0.58 (define @t34 () (_ @t32 @t33)) % 0.37/0.58 (define @t35 () (forall @t14 (= @t34 (not (_ @t32 @t11))))) % 0.37/0.58 (define @t36 () (not @t31)) % 0.37/0.58 (define @t37 () (not (not @t35))) % 0.37/0.58 (define @t38 () (@purify @t33)) % 0.37/0.58 (define @t39 () (_ @t32 @t38)) % 0.37/0.58 (define @t40 () (not @t39)) % 0.37/0.58 (define @t41 () (= @t34 @t40)) % 0.37/0.58 (assume @p1 @t18) % 0.37/0.58 (assume @p2 true) % 0.37/0.58 (step @p3 :rule refl :args (@t19)) % 0.37/0.58 (step @p4 :rule refl :args (@t12)) % 0.37/0.58 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t12 @t19))) % 0.37/0.58 (step @p6 :rule symm :premises (@p5)) % 0.37/0.58 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.37/0.58 (step @p8 :rule cong :premises (@p7) :args (@t20)) % 0.37/0.58 (step @p9 :rule refl :args ((_ @t9 @t8))) % 0.37/0.58 (step @p10 :rule refl :args (@t21)) % 0.37/0.58 (step @p11 :rule refl :args (@t22)) % 0.37/0.58 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t23)) % 0.37/0.58 (step @p13 :rule cong :premises (@p12) :args (@t24)) % 0.37/0.58 (step @p14 :rule cong :premises (@p13) :args (@t25)) % 0.37/0.58 (step @p15 :rule trans :premises (@p14 @p9)) % 0.37/0.58 (step @p16 :rule refl :args (@t9)) % 0.37/0.58 (step @p17 :rule ho_cong :premises (@p16 @p13)) % 0.37/0.58 (step @p18 :rule cong :premises (@p17 @p15) :args ((= @t26 @t25))) % 0.37/0.58 (step @p19 :rule symm :premises (@p18)) % 0.37/0.58 (step @p20 :rule refl :args (@t10)) % 0.37/0.58 (step @p21 :rule eq_resolve :premises (@p20 @p19)) % 0.37/0.58 (step @p22 :rule cong :premises (@p21 @p8) :args (@t27)) % 0.37/0.58 (step @p23 :rule cong :premises (@p22) :args ((forall @t14 @t27))) % 0.37/0.58 (step @p24 :rule eq-symm :args (@t20 @t26)) % 0.37/0.58 (step @p25 :rule cong :premises (@p24) :args ((forall @t14 (= @t20 @t26)))) % 0.37/0.58 (step @p26 :rule trans :premises (@p25 @p23)) % 0.37/0.58 (step @p27 :rule bool-not-eq-elim1 :args (@t12 @t26)) % 0.37/0.58 (step @p28 :rule cong :premises (@p27) :args (@t29)) % 0.37/0.58 (step @p29 :rule trans :premises (@p28 @p26)) % 0.37/0.58 (step @p30 :rule cong :premises (@p29) :args (@t30)) % 0.37/0.58 (step @p31 :rule exists-elim :args ((= (exists @t14 @t28) @t30))) % 0.37/0.58 (step @p32 :rule trans :premises (@p31 @p30)) % 0.37/0.58 (step @p33 :rule refl :args (@t3)) % 0.37/0.58 (step @p34 :rule cong :premises (@p33 @p10) :args ((= @t3 @t21))) % 0.37/0.58 (step @p35 :rule symm :premises (@p34)) % 0.37/0.58 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 0.37/0.58 (step @p37 :rule refl :args (@t5)) % 0.37/0.58 (step @p38 :rule cong :premises (@p37 @p11) :args ((= @t5 @t22))) % 0.37/0.58 (step @p39 :rule symm :premises (@p38)) % 0.37/0.58 (step @p40 :rule eq_resolve :premises (@p37 @p39)) % 0.37/0.58 (step @p41 :rule nary_cong :premises (@p40 @p36) :args (@t6)) % 0.37/0.58 (step @p42 :rule cong :premises (@p41) :args (@t8)) % 0.37/0.58 (step @p43 :rule refl :args (@t9)) % 0.37/0.58 (step @p44 :rule ho_cong :premises (@p43 @p42)) % 0.37/0.58 (step @p45 :rule refl :args (@t12)) % 0.37/0.58 (step @p46 :rule cong :premises (@p45 @p44) :args (@t13)) % 0.37/0.58 (step @p47 :rule cong :premises (@p46) :args (@t15)) % 0.37/0.58 (step @p48 :rule trans :premises (@p47 @p32)) % 0.37/0.58 (step @p49 :rule cong :premises (@p48) :args (@t17)) % 0.37/0.58 (step @p50 :rule cong :premises (@p49) :args (@t18)) % 0.37/0.59 (step @p51 :rule eq_resolve :premises (@p1 @p50)) % 0.37/0.59 (step @p52 :rule refl :args (@t35)) % 0.37/0.59 (step @p53 :rule bool-double-not-elim :args (@t31)) % 0.37/0.59 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or (not @t36) @t35))) % 0.37/0.59 (step @p55 :rule bool-double-not-elim :args (@t35)) % 0.37/0.59 (step @p56 :rule refl :args (@t36)) % 0.37/0.59 (step @p57 :rule cong :premises (@p56 @p55) :args ((=> @t36 @t37))) % 0.37/0.59 (assume-push @p86 @t36) % 0.37/0.59 (step @p59 :rule skolemize :premises (@p51)) % 0.37/0.59 (step-pop @p87 :rule scope :premises (@p59)) % 0.37/0.59 (step @p60 :rule process_scope :premises (@p87) :args (@t37)) % 0.37/0.59 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 0.37/0.59 (step @p63 :rule implies_elim :premises (@p62)) % 0.37/0.59 (step @p64 :rule eq_resolve :premises (@p63 @p54)) % 0.37/0.59 (step @p65 :rule chain_m_resolution :premises (@p64 @p51) :args (@t35 (@list true) (@list @t31))) % 0.37/0.59 (step @p66 :rule bool-impl-false1 :args (@t35)) % 0.37/0.59 (step @p67 :rule bool-eq-nrefl :args (@t39)) % 0.37/0.59 (step @p68 :rule refl :args (@t40)) % 0.37/0.59 (step @p69 :rule eq-refl :args (@t33)) % 0.37/0.59 (step @p70 :rule skolem_intro :args (@t38)) % 0.37/0.59 (step @p71 :rule refl :args (@t33)) % 0.37/0.59 (step @p72 :rule cong :premises (@p71 @p70) :args ((= @t33 @t38))) % 0.37/0.59 (step @p73 :rule trans :premises (@p72 @p69)) % 0.37/0.59 (step @p74 :rule true_elim :premises (@p73)) % 0.37/0.59 (step @p75 :rule cong :premises (@p74) :args (@t34)) % 0.37/0.59 (step @p76 :rule cong :premises (@p75 @p68) :args (@t41)) % 0.37/0.59 (step @p77 :rule trans :premises (@p76 @p67)) % 0.37/0.59 (step @p78 :rule cong :premises (@p52 @p77) :args ((=> @t35 @t41))) % 0.37/0.59 (step @p79 :rule trans :premises (@p78 @p66)) % 0.37/0.59 (assume-push @p88 @t35) % 0.37/0.59 (step @p81 :rule instantiate :premises (@p65) :args ((@list @t38))) % 0.37/0.59 (step-pop @p89 :rule scope :premises (@p81)) % 0.37/0.59 (step @p82 :rule process_scope :premises (@p89) :args (@t41)) % 0.37/0.59 (step @p84 :rule eq_resolve :premises (@p82 @p79)) % 0.37/0.59 (step @p85 false :rule chain_m_resolution :premises (@p84 @p65) :args (false (@list false) (@list @t35))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------