%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU934^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:53:33 AM UTC 2026 % Result : Theorem 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU934^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.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 18:00:59 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.31/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.31/0.55 % SZS status Theorem % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (define @t1 () (@var "Xy" $$unsorted)) % 0.31/0.55 (define @t2 () (@var "Xx" $$unsorted)) % 0.31/0.55 (define @t3 () (= @t2 @t1)) % 0.31/0.55 (define @t4 () (@var "Y" $$unsorted)) % 0.31/0.55 (define @t5 () (@list @t4)) % 0.31/0.55 (define @t6 () (lambda @t5 (= @t4 @t1))) % 0.31/0.55 (define @t7 () (lambda @t5 (= @t4 @t2))) % 0.31/0.55 (define @t8 () (= @t7 @t6)) % 0.31/0.55 (define @t9 () (=> @t8 @t3)) % 0.31/0.55 (define @t10 () (@list @t2 @t1)) % 0.31/0.55 (define @t11 () (forall @t10 @t9)) % 0.31/0.55 (define @t12 () (not @t11)) % 0.31/0.55 (define @t13 () (= (lambda @t5 (= @t2 @t4)) (lambda @t5 (= @t1 @t4)))) % 0.31/0.55 (define @t14 () (forall @t10 (or (not @t13) @t3))) % 0.31/0.55 (define @t15 () (@quantifiers_skolemize @t14 1)) % 0.31/0.55 (define @t16 () (@quantifiers_skolemize @t14 0)) % 0.31/0.55 (define @t17 () (= @t16 @t15)) % 0.31/0.55 (define @t18 () (= @t4 @t16)) % 0.31/0.55 (define @t19 () (lambda @t5 @t18)) % 0.31/0.55 (define @t20 () (@purify @t19)) % 0.31/0.55 (define @t21 () (= @t4 @t15)) % 0.31/0.55 (define @t22 () (lambda @t5 @t21)) % 0.31/0.55 (define @t23 () (@purify @t22)) % 0.31/0.55 (define @t24 () (= @t23 @t20)) % 0.31/0.55 (define @t25 () (not @t24)) % 0.31/0.55 (define @t26 () (or @t25 @t17)) % 0.31/0.55 (define @t27 () (not @t26)) % 0.31/0.55 (define @t28 () (not @t14)) % 0.31/0.55 (define @t29 () (= @t19 @t22)) % 0.31/0.55 (define @t30 () (not @t29)) % 0.31/0.55 (define @t31 () (or @t30 @t17)) % 0.31/0.55 (define @t32 () (not @t31)) % 0.31/0.55 (define @t33 () (lambda @t5 (= @t15 @t4))) % 0.31/0.55 (define @t34 () (lambda @t5 (= @t16 @t4))) % 0.31/0.55 (define @t35 () (= @t34 @t33)) % 0.31/0.55 (define @t36 () (not @t35)) % 0.31/0.55 (define @t37 () (or @t36 @t17)) % 0.31/0.55 (define @t38 () (not @t37)) % 0.31/0.55 (define @t39 () (@list true)) % 0.31/0.55 (define @t40 () (@list @t26)) % 0.31/0.55 (define @t41 () (forall @t5 (= @t21 @t18))) % 0.31/0.55 (define @t42 () (=> @t24 @t41)) % 0.31/0.55 (define @t43 () (forall @t5 (= @t18 @t21))) % 0.31/0.55 (define @t44 () (= (= @t15 @t16) (= @t15 @t15))) % 0.31/0.55 (assume @p1 @t12) % 0.31/0.55 (assume @p2 true) % 0.31/0.55 (step @p3 :rule bool-impl-elim :args (@t13 @t3)) % 0.31/0.55 (step @p4 :rule cong :premises (@p3) :args ((forall @t10 (=> @t13 @t3)))) % 0.31/0.55 (step @p5 :rule refl :args (@t3)) % 0.31/0.55 (step @p6 :rule eq-symm :args (@t4 @t1)) % 0.31/0.55 (step @p7 :rule cong :premises (@p6) :args (@t6)) % 0.31/0.55 (step @p8 :rule eq-symm :args (@t4 @t2)) % 0.31/0.55 (step @p9 :rule cong :premises (@p8) :args (@t7)) % 0.31/0.55 (step @p10 :rule cong :premises (@p9 @p7) :args (@t8)) % 0.31/0.55 (step @p11 :rule cong :premises (@p10 @p5) :args (@t9)) % 0.31/0.55 (step @p12 :rule cong :premises (@p11) :args (@t11)) % 0.31/0.55 (step @p13 :rule trans :premises (@p12 @p4)) % 0.31/0.55 (step @p14 :rule cong :premises (@p13) :args (@t12)) % 0.31/0.55 (step @p15 :rule eq_resolve :premises (@p1 @p14)) % 0.31/0.55 (step @p16 :rule refl :args (@t27)) % 0.31/0.55 (step @p17 :rule bool-double-not-elim :args (@t14)) % 0.31/0.55 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or (not @t28) @t27))) % 0.31/0.55 (step @p19 :rule refl :args (@t17)) % 0.31/0.55 (step @p20 :rule eq-symm :args (@t20 @t23)) % 0.31/0.55 (step @p21 :rule eq-refl :args (@t22)) % 0.31/0.55 (step @p22 :rule skolem_intro :args (@t23)) % 0.31/0.55 (step @p23 :rule refl :args (@t22)) % 0.31/0.55 (step @p24 :rule cong :premises (@p23 @p22) :args ((= @t22 @t23))) % 0.31/0.55 (step @p25 :rule trans :premises (@p24 @p21)) % 0.31/0.55 (step @p26 :rule true_elim :premises (@p25)) % 0.31/0.55 (step @p27 :rule eq-refl :args (@t19)) % 0.31/0.55 (step @p28 :rule skolem_intro :args (@t20)) % 0.31/0.55 (step @p29 :rule refl :args (@t19)) % 0.31/0.55 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t19 @t20))) % 0.31/0.55 (step @p31 :rule trans :premises (@p30 @p27)) % 0.31/0.55 (step @p32 :rule true_elim :premises (@p31)) % 0.31/0.55 (step @p33 :rule cong :premises (@p32 @p26) :args (@t29)) % 0.31/0.55 (step @p34 :rule trans :premises (@p33 @p20)) % 0.31/0.55 (step @p35 :rule cong :premises (@p34) :args (@t30)) % 0.31/0.55 (step @p36 :rule nary_cong :premises (@p35 @p19) :args (@t31)) % 0.31/0.55 (step @p37 :rule cong :premises (@p36) :args (@t32)) % 0.31/0.55 (step @p38 :rule refl :args (@t28)) % 0.31/0.55 (step @p39 :rule cong :premises (@p38 @p37) :args ((=> @t28 @t32))) % 0.31/0.55 (step @p40 :rule eq-symm :args (@t15 @t4)) % 0.31/0.55 (step @p41 :rule cong :premises (@p40) :args (@t33)) % 0.31/0.55 (step @p42 :rule eq-symm :args (@t16 @t4)) % 0.31/0.55 (step @p43 :rule cong :premises (@p42) :args (@t34)) % 0.31/0.55 (step @p44 :rule cong :premises (@p43 @p41) :args (@t35)) % 0.31/0.55 (step @p45 :rule cong :premises (@p44) :args (@t36)) % 0.31/0.55 (step @p46 :rule nary_cong :premises (@p45 @p19) :args (@t37)) % 0.31/0.55 (step @p47 :rule cong :premises (@p46) :args (@t38)) % 0.31/0.55 (step @p48 :rule cong :premises (@p38 @p47) :args ((=> @t28 @t38))) % 0.31/0.55 (step @p49 :rule trans :premises (@p48 @p39)) % 0.31/0.55 (assume-push @p90 @t28) % 0.31/0.55 (step @p51 :rule skolemize :premises (@p15)) % 0.31/0.55 (step-pop @p91 :rule scope :premises (@p51)) % 0.31/0.55 (step @p52 :rule process_scope :premises (@p91) :args (@t38)) % 0.31/0.55 (step @p54 :rule eq_resolve :premises (@p52 @p49)) % 0.31/0.55 (step @p55 :rule implies_elim :premises (@p54)) % 0.31/0.55 (step @p56 :rule eq_resolve :premises (@p55 @p18)) % 0.31/0.55 (step @p57 :rule chain_m_resolution :premises (@p56 @p15) :args (@t27 @t39 (@list @t14))) % 0.31/0.55 (step @p58 :rule cnf_or_neg :args (@t26 1)) % 0.31/0.55 (step @p59 :rule chain_m_resolution :premises (@p58 @p57) :args ((not @t17) @t39 @t40)) % 0.31/0.55 (step @p60 :rule bool-double-not-elim :args (@t24)) % 0.31/0.55 (step @p61 :rule refl :args (@t26)) % 0.31/0.55 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t26 (not @t25)))) % 0.31/0.55 (step @p63 :rule cnf_or_neg :args (@t26 0)) % 0.31/0.55 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.31/0.55 (step @p65 :rule reordering :premises (@p64) :args ((or @t24 @t26))) % 0.31/0.55 (step @p66 :rule chain_m_resolution :premises (@p65 @p57) :args (@t24 @t39 @t40)) % 0.31/0.55 (step @p67 :rule eq-symm :args (@t21 @t18)) % 0.31/0.55 (step @p68 :rule cong :premises (@p67) :args (@t41)) % 0.31/0.55 (step @p69 :rule refl :args (@t24)) % 0.31/0.55 (step @p70 :rule cong :premises (@p69 @p68) :args (@t42)) % 0.31/0.55 ; WARNING: add trust step for TRUST % 0.31/0.55 ; trust TRUST THEORY_LEMMA % 0.31/0.55 (step @p71 :rule trust :premises () :args (@t42)) % 0.31/0.55 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.31/0.55 (step @p73 :rule implies_elim :premises (@p72)) % 0.31/0.55 (step @p74 :rule chain_m_resolution :premises (@p73 @p66) :args (@t43 (@list false) (@list @t24))) % 0.31/0.55 (step @p75 :rule bool-eq-true :args (@t17)) % 0.31/0.55 (step @p76 :rule eq-refl :args (@t15)) % 0.31/0.55 (step @p77 :rule eq-symm :args (@t15 @t16)) % 0.31/0.55 (step @p78 :rule cong :premises (@p77 @p76) :args (@t44)) % 0.31/0.55 (step @p79 :rule trans :premises (@p78 @p75)) % 0.31/0.55 (step @p80 :rule refl :args (@t43)) % 0.31/0.55 (step @p81 :rule cong :premises (@p80 @p79) :args ((=> @t43 @t44))) % 0.31/0.55 (assume-push @p92 @t43) % 0.31/0.55 (step @p83 :rule instantiate :premises (@p74) :args ((@list @t15))) % 0.31/0.55 (step-pop @p93 :rule scope :premises (@p83)) % 0.31/0.55 (step @p84 :rule process_scope :premises (@p93) :args (@t44)) % 0.31/0.55 (step @p86 :rule eq_resolve :premises (@p84 @p81)) % 0.31/0.55 (step @p87 :rule implies_elim :premises (@p86)) % 0.31/0.55 (step @p88 :rule reordering :premises (@p87) :args ((or @t17 (not @t43)))) % 0.31/0.55 (step @p89 false :rule chain_m_resolution :premises (@p88 @p74 @p59) :args (false (@list false true) (@list @t43 @t17))) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.31/0.55 % cvc5 exiting %------------------------------------------------------------------------------