%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU925^5 : 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 : n013.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 08:53:32 AM UTC 2026 % Result : Theorem 0.32s 0.55s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU925^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.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 : Tue Jun 2 18:00:15 EDT 2026 % 0.16/0.34 % CPUTime : % 0.32/0.49 %----Proving TH0 % 0.32/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.32/0.55 % SZS status Theorem % 0.32/0.55 % SZS output start Proof % 0.32/0.55 ( % 0.32/0.55 (declare-sort $$unsorted 0) % 0.32/0.55 (define @t1 () (@var "Xy" $$unsorted)) % 0.32/0.55 (define @t2 () (@var "Xx" $$unsorted)) % 0.32/0.55 (define @t3 () (= @t2 @t1)) % 0.32/0.55 (define @t4 () (@var "Xy_2" $$unsorted)) % 0.32/0.55 (define @t5 () (@list @t4)) % 0.32/0.55 (define @t6 () (@var "Xy0" $$unsorted)) % 0.32/0.55 (define @t7 () (@list @t6)) % 0.32/0.55 (define @t8 () (= (lambda @t7 (= @t2 @t6)) (lambda @t5 (= @t1 @t4)))) % 0.32/0.55 (define @t9 () (@list @t2 @t1)) % 0.32/0.55 (define @t10 () (forall @t9 (=> @t8 @t3))) % 0.32/0.55 (define @t11 () (not @t10)) % 0.32/0.55 (define @t12 () (forall @t9 (or (not @t8) @t3))) % 0.32/0.55 (define @t13 () (@quantifiers_skolemize @t12 1)) % 0.32/0.55 (define @t14 () (@quantifiers_skolemize @t12 0)) % 0.32/0.55 (define @t15 () (= @t14 @t13)) % 0.32/0.55 (define @t16 () (lambda @t7 (= @t6 @t14))) % 0.32/0.55 (define @t17 () (@purify @t16)) % 0.32/0.55 (define @t18 () (= @t4 @t13)) % 0.32/0.55 (define @t19 () (lambda @t5 @t18)) % 0.32/0.55 (define @t20 () (@purify @t19)) % 0.32/0.55 (define @t21 () (= @t20 @t17)) % 0.32/0.55 (define @t22 () (not @t21)) % 0.32/0.55 (define @t23 () (or @t22 @t15)) % 0.32/0.55 (define @t24 () (not @t23)) % 0.32/0.55 (define @t25 () (not @t12)) % 0.32/0.55 (define @t26 () (= @t16 @t19)) % 0.32/0.55 (define @t27 () (not @t26)) % 0.32/0.55 (define @t28 () (or @t27 @t15)) % 0.32/0.55 (define @t29 () (not @t28)) % 0.32/0.55 (define @t30 () (lambda @t5 (= @t13 @t4))) % 0.32/0.55 (define @t31 () (lambda @t7 (= @t14 @t6))) % 0.32/0.55 (define @t32 () (= @t31 @t30)) % 0.32/0.55 (define @t33 () (not @t32)) % 0.32/0.55 (define @t34 () (or @t33 @t15)) % 0.32/0.55 (define @t35 () (not @t34)) % 0.32/0.55 (define @t36 () (@list true)) % 0.32/0.55 (define @t37 () (@list @t23)) % 0.32/0.55 (define @t38 () (forall @t5 (= @t18 (= @t4 @t14)))) % 0.32/0.55 (define @t39 () (= @t15 (= @t14 @t14))) % 0.32/0.55 (assume @p1 @t11) % 0.32/0.55 (assume @p2 true) % 0.32/0.55 (step @p3 :rule bool-impl-elim :args (@t8 @t3)) % 0.32/0.55 (step @p4 :rule cong :premises (@p3) :args (@t10)) % 0.32/0.55 (step @p5 :rule cong :premises (@p4) :args (@t11)) % 0.32/0.55 (step @p6 :rule eq_resolve :premises (@p1 @p5)) % 0.32/0.55 (step @p7 :rule refl :args (@t24)) % 0.32/0.55 (step @p8 :rule bool-double-not-elim :args (@t12)) % 0.32/0.55 (step @p9 :rule nary_cong :premises (@p8 @p7) :args ((or (not @t25) @t24))) % 0.32/0.55 (step @p10 :rule refl :args (@t15)) % 0.32/0.55 (step @p11 :rule eq-symm :args (@t17 @t20)) % 0.32/0.55 (step @p12 :rule eq-refl :args (@t19)) % 0.32/0.55 (step @p13 :rule skolem_intro :args (@t20)) % 0.32/0.55 (step @p14 :rule refl :args (@t19)) % 0.32/0.55 (step @p15 :rule cong :premises (@p14 @p13) :args ((= @t19 @t20))) % 0.32/0.55 (step @p16 :rule trans :premises (@p15 @p12)) % 0.32/0.55 (step @p17 :rule true_elim :premises (@p16)) % 0.32/0.55 (step @p18 :rule eq-refl :args (@t16)) % 0.32/0.55 (step @p19 :rule skolem_intro :args (@t17)) % 0.32/0.55 (step @p20 :rule refl :args (@t16)) % 0.32/0.55 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t16 @t17))) % 0.32/0.55 (step @p22 :rule trans :premises (@p21 @p18)) % 0.32/0.55 (step @p23 :rule true_elim :premises (@p22)) % 0.32/0.55 (step @p24 :rule cong :premises (@p23 @p17) :args (@t26)) % 0.32/0.55 (step @p25 :rule trans :premises (@p24 @p11)) % 0.32/0.55 (step @p26 :rule cong :premises (@p25) :args (@t27)) % 0.32/0.55 (step @p27 :rule nary_cong :premises (@p26 @p10) :args (@t28)) % 0.32/0.55 (step @p28 :rule cong :premises (@p27) :args (@t29)) % 0.32/0.55 (step @p29 :rule refl :args (@t25)) % 0.32/0.55 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t25 @t29))) % 0.32/0.55 (step @p31 :rule eq-symm :args (@t13 @t4)) % 0.32/0.55 (step @p32 :rule cong :premises (@p31) :args (@t30)) % 0.32/0.55 (step @p33 :rule eq-symm :args (@t14 @t6)) % 0.32/0.55 (step @p34 :rule cong :premises (@p33) :args (@t31)) % 0.32/0.55 (step @p35 :rule cong :premises (@p34 @p32) :args (@t32)) % 0.32/0.55 (step @p36 :rule cong :premises (@p35) :args (@t33)) % 0.32/0.55 (step @p37 :rule nary_cong :premises (@p36 @p10) :args (@t34)) % 0.32/0.55 (step @p38 :rule cong :premises (@p37) :args (@t35)) % 0.32/0.55 (step @p39 :rule cong :premises (@p29 @p38) :args ((=> @t25 @t35))) % 0.32/0.55 (step @p40 :rule trans :premises (@p39 @p30)) % 0.32/0.55 (assume-push @p75 @t25) % 0.32/0.55 (step @p42 :rule skolemize :premises (@p6)) % 0.32/0.55 (step-pop @p76 :rule scope :premises (@p42)) % 0.32/0.55 (step @p43 :rule process_scope :premises (@p76) :args (@t35)) % 0.32/0.55 (step @p45 :rule eq_resolve :premises (@p43 @p40)) % 0.32/0.55 (step @p46 :rule implies_elim :premises (@p45)) % 0.32/0.55 (step @p47 :rule eq_resolve :premises (@p46 @p9)) % 0.32/0.55 (step @p48 :rule chain_m_resolution :premises (@p47 @p6) :args (@t24 @t36 (@list @t12))) % 0.32/0.55 (step @p49 :rule cnf_or_neg :args (@t23 1)) % 0.32/0.55 (step @p50 :rule chain_m_resolution :premises (@p49 @p48) :args ((not @t15) @t36 @t37)) % 0.32/0.55 (step @p51 :rule bool-double-not-elim :args (@t21)) % 0.32/0.55 (step @p52 :rule refl :args (@t23)) % 0.32/0.55 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t23 (not @t22)))) % 0.32/0.55 (step @p54 :rule cnf_or_neg :args (@t23 0)) % 0.32/0.55 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 0.32/0.55 (step @p56 :rule reordering :premises (@p55) :args ((or @t21 @t23))) % 0.32/0.55 (step @p57 :rule chain_m_resolution :premises (@p56 @p48) :args (@t21 @t36 @t37)) % 0.32/0.55 ; WARNING: add trust step for TRUST % 0.32/0.55 ; trust TRUST THEORY_LEMMA % 0.32/0.55 (step @p58 :rule trust :premises () :args ((=> @t21 @t38))) % 0.32/0.55 (step @p59 :rule implies_elim :premises (@p58)) % 0.32/0.55 (step @p60 :rule chain_m_resolution :premises (@p59 @p57) :args (@t38 (@list false) (@list @t21))) % 0.32/0.55 (step @p61 :rule bool-eq-true :args (@t15)) % 0.32/0.55 (step @p62 :rule eq-refl :args (@t14)) % 0.32/0.55 (step @p63 :rule cong :premises (@p10 @p62) :args (@t39)) % 0.32/0.55 (step @p64 :rule trans :premises (@p63 @p61)) % 0.32/0.55 (step @p65 :rule refl :args (@t38)) % 0.32/0.55 (step @p66 :rule cong :premises (@p65 @p64) :args ((=> @t38 @t39))) % 0.32/0.55 (assume-push @p77 @t38) % 0.32/0.55 (step @p68 :rule instantiate :premises (@p60) :args ((@list @t14))) % 0.32/0.55 (step-pop @p78 :rule scope :premises (@p68)) % 0.32/0.55 (step @p69 :rule process_scope :premises (@p78) :args (@t39)) % 0.32/0.55 (step @p71 :rule eq_resolve :premises (@p69 @p66)) % 0.32/0.55 (step @p72 :rule implies_elim :premises (@p71)) % 0.32/0.55 (step @p73 :rule reordering :premises (@p72) :args ((or @t15 (not @t38)))) % 0.32/0.55 (step @p74 false :rule chain_m_resolution :premises (@p73 @p60 @p50) :args (false (@list false true) (@list @t38 @t15))) % 0.32/0.55 ) % 0.32/0.55 % SZS output end Proof % 0.32/0.55 % cvc5 exiting %------------------------------------------------------------------------------