%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU528^2 : TPTP v9.2.1. Released v3.7.0. % 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 08:52:04 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 : SEU528^2 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.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 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 17:40:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.25/0.49 %----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 $$unsorted 0) % 0.37/0.56 (declare-const tptp.uniqinunit Bool) % 0.37/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.emptyset $$unsorted) % 0.37/0.56 (define @t1 () (@var "Xy" $$unsorted)) % 0.37/0.56 (define @t2 () (@var "Xx" $$unsorted)) % 0.37/0.56 (define @t3 () (= @t2 @t1)) % 0.37/0.56 (define @t4 () (_ (_ tptp.setadjoin @t1) tptp.emptyset)) % 0.37/0.56 (define @t5 () (_ tptp.in @t2)) % 0.37/0.56 (define @t6 () (_ @t5 @t4)) % 0.37/0.56 (define @t7 () (@list @t2 @t1)) % 0.37/0.56 (define @t8 () (forall @t7 (=> @t6 @t3))) % 0.37/0.56 (define @t9 () (= tptp.uniqinunit @t8)) % 0.37/0.56 (define @t10 () (_ (_ tptp.setadjoin @t2) tptp.emptyset)) % 0.37/0.56 (define @t11 () (_ tptp.in @t1)) % 0.37/0.56 (define @t12 () (_ @t11 @t10)) % 0.37/0.56 (define @t13 () (not @t12)) % 0.37/0.56 (define @t14 () (not @t3)) % 0.37/0.56 (define @t15 () (forall @t7 (=> @t14 @t13))) % 0.37/0.56 (define @t16 () (=> tptp.uniqinunit @t15)) % 0.37/0.56 (define @t17 () (not @t16)) % 0.37/0.56 (define @t18 () (tptp.setadjoin @t2 tptp.emptyset)) % 0.37/0.56 (define @t19 () (tptp.in @t1 @t18)) % 0.37/0.56 (define @t20 () (forall @t7 (or @t3 (not @t19)))) % 0.37/0.56 (define @t21 () (tptp.setadjoin @t1 tptp.emptyset)) % 0.37/0.56 (define @t22 () (tptp.in @t2 @t21)) % 0.37/0.56 (define @t23 () (not @t6)) % 0.37/0.56 (define @t24 () (or @t23 @t3)) % 0.37/0.56 (define @t25 () (=> tptp.uniqinunit @t20)) % 0.37/0.56 (define @t26 () (or @t3 @t13)) % 0.37/0.56 (define @t27 () (@quantifiers_skolemize @t20 0)) % 0.37/0.56 (define @t28 () (@quantifiers_skolemize @t20 1)) % 0.37/0.56 (define @t29 () (tptp.in @t28 (tptp.setadjoin @t27 tptp.emptyset))) % 0.37/0.56 (define @t30 () (not @t29)) % 0.37/0.56 (define @t31 () (= @t27 @t28)) % 0.37/0.56 (define @t32 () (or @t31 @t30)) % 0.37/0.56 (define @t33 () (@list true)) % 0.37/0.56 (define @t34 () (@list @t32)) % 0.37/0.56 (define @t35 () (or @t30 @t31)) % 0.37/0.56 (define @t36 () (not @t35)) % 0.37/0.56 (define @t37 () (@list true false)) % 0.37/0.56 (define @t38 () (or @t30 (= @t28 @t27))) % 0.37/0.56 (define @t39 () (forall @t7 (or (not @t22) @t3))) % 0.37/0.56 (assume @p1 @t9) % 0.37/0.56 (assume @p2 @t17) % 0.37/0.56 (assume @p3 true) % 0.37/0.56 (step @p4 :rule refl :args (@t20)) % 0.37/0.56 (step @p5 :rule refl :args (@t3)) % 0.37/0.56 (step @p6 :rule refl :args ((tptp.in @t2 @t4))) % 0.37/0.56 (step @p7 :rule refl :args (@t21)) % 0.37/0.56 (step @p8 :rule refl :args (@t2)) % 0.37/0.56 (step @p9 :rule cong :premises (@p8 @p7) :args (@t22)) % 0.37/0.56 (step @p10 :rule trans :premises (@p9 @p6)) % 0.37/0.56 (step @p11 :rule refl :args (@t5)) % 0.37/0.56 (step @p12 :rule ho_cong :premises (@p11 @p7)) % 0.37/0.56 (step @p13 :rule cong :premises (@p12 @p10) :args ((= (_ @t5 @t21) @t22))) % 0.37/0.56 (step @p14 :rule symm :premises (@p13)) % 0.37/0.56 (step @p15 :rule refl :args (@t6)) % 0.37/0.56 (step @p16 :rule eq_resolve :premises (@p15 @p14)) % 0.37/0.56 (step @p17 :rule refl :args (@t4)) % 0.37/0.56 (step @p18 :rule cong :premises (@p17 @p7) :args ((= @t4 @t21))) % 0.37/0.56 (step @p19 :rule symm :premises (@p18)) % 0.37/0.56 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.37/0.56 (step @p21 :rule ho_cong :premises (@p11 @p20)) % 0.37/0.56 (step @p22 :rule trans :premises (@p21 @p16)) % 0.37/0.56 (step @p23 :rule cong :premises (@p22) :args (@t23)) % 0.37/0.56 (step @p24 :rule nary_cong :premises (@p23 @p5) :args (@t24)) % 0.37/0.56 (step @p25 :rule cong :premises (@p24) :args ((forall @t7 @t24))) % 0.37/0.56 (step @p26 :rule bool-impl-elim :args (@t6 @t3)) % 0.37/0.56 (step @p27 :rule cong :premises (@p26) :args (@t8)) % 0.37/0.56 (step @p28 :rule trans :premises (@p27 @p25)) % 0.37/0.56 (step @p29 :rule refl :args (tptp.uniqinunit)) % 0.37/0.56 (step @p30 :rule cong :premises (@p29 @p28) :args (@t9)) % 0.37/0.56 (step @p31 :rule eq_resolve :premises (@p1 @p30)) % 0.37/0.56 (step @p32 :rule cong :premises (@p31 @p4) :args (@t25)) % 0.37/0.56 (step @p33 :rule cong :premises (@p32) :args ((not @t25))) % 0.37/0.56 (step @p34 :rule refl :args ((tptp.in @t1 @t10))) % 0.37/0.56 (step @p35 :rule refl :args (@t18)) % 0.37/0.56 (step @p36 :rule refl :args (@t1)) % 0.37/0.56 (step @p37 :rule cong :premises (@p36 @p35) :args (@t19)) % 0.37/0.56 (step @p38 :rule trans :premises (@p37 @p34)) % 0.37/0.56 (step @p39 :rule refl :args (@t11)) % 0.37/0.56 (step @p40 :rule ho_cong :premises (@p39 @p35)) % 0.37/0.56 (step @p41 :rule cong :premises (@p40 @p38) :args ((= (_ @t11 @t18) @t19))) % 0.37/0.56 (step @p42 :rule symm :premises (@p41)) % 0.37/0.56 (step @p43 :rule refl :args (@t12)) % 0.37/0.56 (step @p44 :rule eq_resolve :premises (@p43 @p42)) % 0.37/0.56 (step @p45 :rule refl :args (@t10)) % 0.37/0.56 (step @p46 :rule cong :premises (@p45 @p35) :args ((= @t10 @t18))) % 0.37/0.56 (step @p47 :rule symm :premises (@p46)) % 0.37/0.56 (step @p48 :rule eq_resolve :premises (@p45 @p47)) % 0.37/0.56 (step @p49 :rule ho_cong :premises (@p39 @p48)) % 0.37/0.56 (step @p50 :rule trans :premises (@p49 @p44)) % 0.37/0.56 (step @p51 :rule cong :premises (@p50) :args (@t13)) % 0.37/0.56 (step @p52 :rule nary_cong :premises (@p5 @p51) :args (@t26)) % 0.37/0.56 (step @p53 :rule cong :premises (@p52) :args ((forall @t7 @t26))) % 0.37/0.56 (step @p54 :rule refl :args (@t13)) % 0.37/0.56 (step @p55 :rule bool-double-not-elim :args (@t3)) % 0.37/0.56 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or (not @t14) @t13))) % 0.37/0.56 (step @p57 :rule bool-impl-elim :args (@t14 @t13)) % 0.37/0.56 (step @p58 :rule trans :premises (@p57 @p56)) % 0.37/0.56 (step @p59 :rule cong :premises (@p58) :args (@t15)) % 0.37/0.56 (step @p60 :rule trans :premises (@p59 @p53)) % 0.37/0.56 (step @p61 :rule cong :premises (@p29 @p60) :args (@t16)) % 0.37/0.56 (step @p62 :rule cong :premises (@p61) :args (@t17)) % 0.37/0.56 (step @p63 :rule trans :premises (@p62 @p33)) % 0.37/0.56 (step @p64 :rule eq_resolve :premises (@p2 @p63)) % 0.37/0.56 (step @p65 :rule not_implies_elim1 :premises (@p64)) % 0.37/0.56 (step @p66 :rule not_implies_elim2 :premises (@p64)) % 0.37/0.56 (step @p67 :rule skolemize :premises (@p66)) % 0.37/0.56 (step @p68 :rule bool-double-not-elim :args (@t29)) % 0.37/0.56 (step @p69 :rule refl :args (@t32)) % 0.37/0.56 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t32 (not @t30)))) % 0.37/0.56 (step @p71 :rule cnf_or_neg :args (@t32 1)) % 0.37/0.56 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.37/0.56 (step @p73 :rule reordering :premises (@p72) :args ((or @t29 @t32))) % 0.37/0.56 (step @p74 :rule chain_m_resolution :premises (@p73 @p67) :args (@t29 @t33 @t34)) % 0.37/0.56 (step @p75 :rule cnf_or_neg :args (@t32 0)) % 0.37/0.56 (step @p76 :rule chain_m_resolution :premises (@p75 @p67) :args ((not @t31) @t33 @t34)) % 0.37/0.56 (step @p77 :rule cnf_or_pos :args (@t35)) % 0.37/0.56 (step @p78 :rule reordering :premises (@p77) :args ((or @t31 @t30 @t36))) % 0.37/0.56 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p74) :args (@t36 @t37 (@list @t31 @t29))) % 0.37/0.56 (step @p80 :rule eq-symm :args (@t28 @t27)) % 0.37/0.56 (step @p81 :rule refl :args (@t30)) % 0.37/0.56 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t38)) % 0.37/0.56 (step @p83 :rule refl :args (@t39)) % 0.37/0.56 (step @p84 :rule cong :premises (@p83 @p82) :args ((=> @t39 @t38))) % 0.37/0.56 (assume-push @p92 @t39) % 0.37/0.56 (step @p86 :rule instantiate :premises (@p65) :args ((@list @t28 @t27))) % 0.37/0.56 (step-pop @p93 :rule scope :premises (@p86)) % 0.37/0.56 (step @p87 :rule process_scope :premises (@p93) :args (@t38)) % 0.37/0.56 (step @p89 :rule eq_resolve :premises (@p87 @p84)) % 0.37/0.56 (step @p90 :rule implies_elim :premises (@p89)) % 0.37/0.56 (step @p91 false :rule chain_m_resolution :premises (@p90 @p79 @p65) :args (false @t37 (@list @t35 @t39))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------