%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO145^5 : 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 : n003.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 09:12:07 AM UTC 2026 % Result : Theorem 0.99s 1.26s % Output : Proof 0.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO145^5 : 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 % 0.18/0.35 % Computer : n003.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 : Tue Jun 2 23:59:14 EDT 2026 % 0.18/0.35 % CPUTime : % 0.26/0.50 %----Proving TH0 % 0.99/1.26 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.99/1.26 % SZS status Theorem % 0.99/1.26 % SZS output start Proof % 0.99/1.26 ( % 0.99/1.26 (declare-sort $$unsorted 0) % 0.99/1.26 (declare-const tptp.cP (-> $$unsorted $$unsorted Bool)) % 0.99/1.26 (define @t1 () (@var "Xy" $$unsorted)) % 0.99/1.26 (define @t2 () (@var "Xx" $$unsorted)) % 0.99/1.26 (define @t3 () (_ (_ tptp.cP @t2) @t1)) % 0.99/1.26 (define @t4 () (@var "Xz" $$unsorted)) % 0.99/1.26 (define @t5 () (_ (_ tptp.cP @t1) @t4)) % 0.99/1.26 (define @t6 () (and @t5 @t3)) % 0.99/1.26 (define @t7 () (@list @t1 @t4)) % 0.99/1.26 (define @t8 () (exists @t7 @t6)) % 0.99/1.26 (define @t9 () (@list @t2)) % 0.99/1.26 (define @t10 () (forall @t9 @t8)) % 0.99/1.26 (define @t11 () (@list @t1)) % 0.99/1.26 (define @t12 () (exists @t11 @t3)) % 0.99/1.26 (define @t13 () (forall @t9 @t12)) % 0.99/1.26 (define @t14 () (=> @t13 @t10)) % 0.99/1.26 (define @t15 () (not @t14)) % 0.99/1.26 (define @t16 () (tptp.cP @t2 @t1)) % 0.99/1.26 (define @t17 () (not @t3)) % 0.99/1.26 (define @t18 () (tptp.cP @t1 @t4)) % 0.99/1.26 (define @t19 () (not @t5)) % 0.99/1.26 (define @t20 () (or @t19 @t17)) % 0.99/1.26 (define @t21 () (forall @t7 (not @t6))) % 0.99/1.26 (define @t22 () (not @t21)) % 0.99/1.26 (define @t23 () (forall @t11 @t17)) % 0.99/1.26 (define @t24 () (not @t23)) % 0.99/1.26 (define @t25 () (not @t18)) % 0.99/1.26 (define @t26 () (forall @t9 (not (forall @t7 (or @t25 (not @t16)))))) % 0.99/1.26 (define @t27 () (@quantifiers_skolemize @t26 0)) % 0.99/1.26 (define @t28 () (not (tptp.cP @t27 @t1))) % 0.99/1.26 (define @t29 () (forall @t7 (or @t25 @t28))) % 0.99/1.26 (define @t30 () (not @t26)) % 0.99/1.26 (define @t31 () (not (not @t29))) % 0.99/1.26 (define @t32 () (@list true)) % 0.99/1.26 (define @t33 () (forall @t11 @t28)) % 0.99/1.26 (define @t34 () (@quantifiers_skolemize @t33 0)) % 0.99/1.26 (define @t35 () (forall @t11 (not (tptp.cP @t34 @t1)))) % 0.99/1.26 (define @t36 () (@quantifiers_skolemize @t35 0)) % 0.99/1.26 (define @t37 () (tptp.cP @t34 @t36)) % 0.99/1.26 (define @t38 () (not @t35)) % 0.99/1.26 (define @t39 () (not @t37)) % 0.99/1.26 (define @t40 () (not @t39)) % 0.99/1.26 (define @t41 () (tptp.cP @t27 @t34)) % 0.99/1.26 (define @t42 () (not @t33)) % 0.99/1.26 (define @t43 () (not @t41)) % 0.99/1.26 (define @t44 () (not @t43)) % 0.99/1.26 (define @t45 () (or @t39 @t43)) % 0.99/1.26 (define @t46 () (not @t45)) % 0.99/1.26 (assume @p1 @t15) % 0.99/1.26 (assume @p2 true) % 0.99/1.26 (step @p3 :rule refl :args (@t16)) % 0.99/1.26 (step @p4 :rule refl :args (@t3)) % 0.99/1.26 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t3 @t16))) % 0.99/1.26 (step @p6 :rule symm :premises (@p5)) % 0.99/1.26 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.99/1.26 (step @p8 :rule cong :premises (@p7) :args (@t17)) % 0.99/1.26 (step @p9 :rule refl :args (@t18)) % 0.99/1.26 (step @p10 :rule refl :args (@t5)) % 0.99/1.26 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t5 @t18))) % 0.99/1.26 (step @p12 :rule symm :premises (@p11)) % 0.99/1.26 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.99/1.26 (step @p14 :rule cong :premises (@p13) :args (@t19)) % 0.99/1.26 (step @p15 :rule nary_cong :premises (@p14 @p8) :args (@t20)) % 0.99/1.26 (step @p16 :rule cong :premises (@p15) :args ((forall @t7 @t20))) % 0.99/1.26 (step @p17 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.99/1.26 (step @p18 :rule cong :premises (@p17) :args (@t21)) % 0.99/1.26 (step @p19 :rule trans :premises (@p18 @p16)) % 0.99/1.26 (step @p20 :rule cong :premises (@p19) :args (@t22)) % 0.99/1.26 (step @p21 :rule exists-elim :args ((= @t8 @t22))) % 0.99/1.26 (step @p22 :rule trans :premises (@p21 @p20)) % 0.99/1.26 (step @p23 :rule cong :premises (@p22) :args (@t10)) % 0.99/1.26 (step @p24 :rule cong :premises (@p8) :args (@t23)) % 0.99/1.26 (step @p25 :rule cong :premises (@p24) :args (@t24)) % 0.99/1.26 (step @p26 :rule exists-elim :args ((= @t12 @t24))) % 0.99/1.26 (step @p27 :rule trans :premises (@p26 @p25)) % 0.99/1.26 (step @p28 :rule cong :premises (@p27) :args (@t13)) % 0.99/1.26 (step @p29 :rule cong :premises (@p28 @p23) :args (@t14)) % 0.99/1.26 (step @p30 :rule cong :premises (@p29) :args (@t15)) % 0.99/1.26 (step @p31 :rule eq_resolve :premises (@p1 @p30)) % 0.99/1.26 (step @p32 :rule not_implies_elim2 :premises (@p31)) % 0.99/1.26 (step @p33 :rule refl :args (@t29)) % 0.99/1.26 (step @p34 :rule bool-double-not-elim :args (@t26)) % 0.99/1.26 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or (not @t30) @t29))) % 0.99/1.26 (step @p36 :rule bool-double-not-elim :args (@t29)) % 0.99/1.26 (step @p37 :rule refl :args (@t30)) % 0.99/1.26 (step @p38 :rule cong :premises (@p37 @p36) :args ((=> @t30 @t31))) % 0.99/1.26 (assume-push @p87 @t30) % 0.99/1.26 (step @p40 :rule skolemize :premises (@p32)) % 0.99/1.26 (step-pop @p88 :rule scope :premises (@p40)) % 0.99/1.26 (step @p41 :rule process_scope :premises (@p88) :args (@t31)) % 0.99/1.26 (step @p43 :rule eq_resolve :premises (@p41 @p38)) % 0.99/1.26 (step @p44 :rule implies_elim :premises (@p43)) % 0.99/1.26 (step @p45 :rule eq_resolve :premises (@p44 @p35)) % 0.99/1.26 (step @p46 :rule chain_m_resolution :premises (@p45 @p32) :args (@t29 @t32 (@list @t26))) % 0.99/1.26 (step @p47 :rule not_implies_elim1 :premises (@p31)) % 0.99/1.26 (step @p48 :rule instantiate :premises (@p47) :args ((@list @t34))) % 0.99/1.26 (step @p49 :rule refl :args (@t37)) % 0.99/1.26 (step @p50 :rule bool-double-not-elim :args (@t35)) % 0.99/1.26 (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or (not @t38) @t37))) % 0.99/1.26 (step @p52 :rule bool-double-not-elim :args (@t37)) % 0.99/1.26 (step @p53 :rule refl :args (@t38)) % 0.99/1.26 (step @p54 :rule cong :premises (@p53 @p52) :args ((=> @t38 @t40))) % 0.99/1.26 (assume-push @p89 @t38) % 0.99/1.26 (step @p56 :rule skolemize :premises (@p48)) % 0.99/1.26 (step-pop @p90 :rule scope :premises (@p56)) % 0.99/1.26 (step @p57 :rule process_scope :premises (@p90) :args (@t40)) % 0.99/1.26 (step @p59 :rule eq_resolve :premises (@p57 @p54)) % 0.99/1.26 (step @p60 :rule implies_elim :premises (@p59)) % 0.99/1.26 (step @p61 :rule eq_resolve :premises (@p60 @p51)) % 0.99/1.26 (step @p62 :rule chain_m_resolution :premises (@p61 @p48) :args (@t37 @t32 (@list @t35))) % 0.99/1.26 (step @p63 :rule instantiate :premises (@p47) :args ((@list @t27))) % 0.99/1.26 (step @p64 :rule refl :args (@t41)) % 0.99/1.26 (step @p65 :rule bool-double-not-elim :args (@t33)) % 0.99/1.26 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or (not @t42) @t41))) % 0.99/1.26 (step @p67 :rule bool-double-not-elim :args (@t41)) % 0.99/1.26 (step @p68 :rule refl :args (@t42)) % 0.99/1.26 (step @p69 :rule cong :premises (@p68 @p67) :args ((=> @t42 @t44))) % 0.99/1.26 (assume-push @p91 @t42) % 0.99/1.26 (step @p71 :rule skolemize :premises (@p63)) % 0.99/1.26 (step-pop @p92 :rule scope :premises (@p71)) % 0.99/1.26 (step @p72 :rule process_scope :premises (@p92) :args (@t44)) % 0.99/1.26 (step @p74 :rule eq_resolve :premises (@p72 @p69)) % 0.99/1.26 (step @p75 :rule implies_elim :premises (@p74)) % 0.99/1.26 (step @p76 :rule eq_resolve :premises (@p75 @p66)) % 0.99/1.26 (step @p77 :rule chain_m_resolution :premises (@p76 @p63) :args (@t41 @t32 (@list @t33))) % 0.99/1.26 (step @p78 :rule cnf_or_pos :args (@t45)) % 0.99/1.26 (step @p79 :rule reordering :premises (@p78) :args ((or @t43 @t39 @t46))) % 0.99/1.26 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p62) :args (@t46 (@list false false) (@list @t41 @t37))) % 0.99/1.26 (assume-push @p93 @t29) % 0.99/1.26 (step @p82 :rule instantiate :premises (@p46) :args ((@list @t34 @t36))) % 0.99/1.26 (step-pop @p94 :rule scope :premises (@p82)) % 0.99/1.26 (step @p83 :rule process_scope :premises (@p94) :args (@t45)) % 0.99/1.26 (step @p85 :rule implies_elim :premises (@p83)) % 0.99/1.26 (step @p86 false :rule chain_m_resolution :premises (@p85 @p80 @p46) :args (false (@list true false) (@list @t45 @t29))) % 0.99/1.26 ) % 0.99/1.26 % SZS output end Proof % 0.99/1.26 % cvc5 exiting %------------------------------------------------------------------------------