%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET175^5 : 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 : n008.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 08:47:35 AM UTC 2026 % Result : Theorem 0.30s 0.55s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET175^5 : 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 : n008.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 15:07:03 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.30/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort tptp.a 0) % 0.30/0.55 (define @t1 () (@var "X" (-> tptp.a Bool))) % 0.30/0.55 (define @t2 () (@var "Xz" tptp.a)) % 0.30/0.55 (define @t3 () (@var "Y" (-> tptp.a Bool))) % 0.30/0.55 (define @t4 () (_ @t3 @t2)) % 0.30/0.55 (define @t5 () (_ @t1 @t2)) % 0.30/0.55 (define @t6 () (and @t5 @t4)) % 0.30/0.55 (define @t7 () (or @t5 @t6)) % 0.30/0.55 (define @t8 () (@list @t2)) % 0.30/0.55 (define @t9 () (lambda @t8 @t7)) % 0.30/0.55 (define @t10 () (@list @t1 @t3)) % 0.30/0.55 (define @t11 () (forall @t10 (= @t9 @t1))) % 0.30/0.55 (define @t12 () (not @t11)) % 0.30/0.55 (define @t13 () (@const 0 tptp.a)) % 0.30/0.55 (define @t14 () (_ @t3 @t2)) % 0.30/0.55 (define @t15 () (_ @t1 @t2)) % 0.30/0.55 (define @t16 () (forall @t10 (= @t1 (lambda @t8 (or @t15 (and @t15 @t14)))))) % 0.30/0.55 (define @t17 () (@quantifiers_skolemize @t16 1)) % 0.30/0.55 (define @t18 () (@quantifiers_skolemize @t16 0)) % 0.30/0.55 (define @t19 () (_ @t18 @t13)) % 0.30/0.55 (define @t20 () (and @t19 (_ @t17 @t13))) % 0.30/0.55 (define @t21 () (or @t19 @t20)) % 0.30/0.55 (define @t22 () (= @t1 @t9)) % 0.30/0.55 (define @t23 () (_ @t18 @t2)) % 0.30/0.55 (define @t24 () (lambda @t8 (or @t23 (and @t23 (_ @t17 @t2))))) % 0.30/0.55 (define @t25 () (@purify @t24)) % 0.30/0.55 (define @t26 () (= @t18 @t25)) % 0.30/0.55 (define @t27 () (not @t26)) % 0.30/0.55 (define @t28 () (not @t16)) % 0.30/0.55 (define @t29 () (= @t18 @t24)) % 0.30/0.55 (define @t30 () (not @t29)) % 0.30/0.55 (define @t31 () (@list true)) % 0.30/0.55 (define @t32 () (= (_ @t24 @t13) @t21)) % 0.30/0.55 (define @t33 () (_ @t25 @t13)) % 0.30/0.55 (define @t34 () (= @t19 @t33)) % 0.30/0.55 (define @t35 () (not @t34)) % 0.30/0.55 (define @t36 () (or @t26 @t35)) % 0.30/0.55 (define @t37 () (= @t19 @t21)) % 0.30/0.55 (define @t38 () (not @t20)) % 0.30/0.55 (assume @p1 @t12) % 0.30/0.55 (assume @p2 true) % 0.30/0.55 (step @p3 :rule cnf_or_neg :args (@t21 0)) % 0.30/0.55 (step @p4 :rule refl :args (@t14)) % 0.30/0.55 (step @p5 :rule refl :args (@t4)) % 0.30/0.55 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t4 @t14))) % 0.30/0.55 (step @p7 :rule symm :premises (@p6)) % 0.30/0.55 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.30/0.55 (step @p9 :rule refl :args (@t15)) % 0.30/0.55 (step @p10 :rule refl :args (@t5)) % 0.30/0.55 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t5 @t15))) % 0.30/0.55 (step @p12 :rule symm :premises (@p11)) % 0.30/0.55 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.30/0.55 (step @p14 :rule nary_cong :premises (@p13 @p8) :args (@t6)) % 0.30/0.55 (step @p15 :rule nary_cong :premises (@p13 @p14) :args (@t7)) % 0.30/0.55 (step @p16 :rule cong :premises (@p15) :args (@t9)) % 0.30/0.55 (step @p17 :rule refl :args (@t1)) % 0.30/0.55 (step @p18 :rule cong :premises (@p17 @p16) :args (@t22)) % 0.30/0.55 (step @p19 :rule cong :premises (@p18) :args ((forall @t10 @t22))) % 0.30/0.55 (step @p20 :rule eq-symm :args (@t9 @t1)) % 0.30/0.55 (step @p21 :rule cong :premises (@p20) :args (@t11)) % 0.30/0.55 (step @p22 :rule trans :premises (@p21 @p19)) % 0.30/0.55 (step @p23 :rule cong :premises (@p22) :args (@t12)) % 0.30/0.55 (step @p24 :rule eq_resolve :premises (@p1 @p23)) % 0.30/0.55 (step @p25 :rule refl :args (@t27)) % 0.30/0.55 (step @p26 :rule bool-double-not-elim :args (@t16)) % 0.30/0.55 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or (not @t28) @t27))) % 0.30/0.55 (step @p28 :rule eq-refl :args (@t24)) % 0.30/0.55 (step @p29 :rule skolem_intro :args (@t25)) % 0.30/0.55 (step @p30 :rule refl :args (@t24)) % 0.30/0.55 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t24 @t25))) % 0.30/0.55 (step @p32 :rule trans :premises (@p31 @p28)) % 0.30/0.55 (step @p33 :rule true_elim :premises (@p32)) % 0.30/0.55 (step @p34 :rule refl :args (@t18)) % 0.30/0.55 (step @p35 :rule cong :premises (@p34 @p33) :args (@t29)) % 0.30/0.55 (step @p36 :rule cong :premises (@p35) :args (@t30)) % 0.30/0.55 (step @p37 :rule refl :args (@t28)) % 0.30/0.55 (step @p38 :rule cong :premises (@p37 @p36) :args ((=> @t28 @t30))) % 0.30/0.55 (assume-push @p76 @t28) % 0.30/0.55 (step @p40 :rule skolemize :premises (@p24)) % 0.30/0.55 (step-pop @p77 :rule scope :premises (@p40)) % 0.30/0.55 (step @p41 :rule process_scope :premises (@p77) :args (@t30)) % 0.30/0.55 (step @p43 :rule eq_resolve :premises (@p41 @p38)) % 0.30/0.55 (step @p44 :rule implies_elim :premises (@p43)) % 0.30/0.55 (step @p45 :rule eq_resolve :premises (@p44 @p27)) % 0.30/0.55 (step @p46 :rule chain_m_resolution :premises (@p45 @p24) :args (@t27 @t31 (@list @t16))) % 0.30/0.55 (step @p47 :rule eq-refl :args (@t21)) % 0.30/0.55 (step @p48 :rule refl :args (@t21)) % 0.30/0.55 (step @p49 :rule beta-reduce :args (@t32)) % 0.30/0.55 (step @p50 :rule cong :premises (@p49 @p48) :args (@t32)) % 0.30/0.55 (step @p51 :rule trans :premises (@p50 @p47)) % 0.30/0.55 (step @p52 :rule refl :args (@t13)) % 0.30/0.55 (step @p53 :rule ho_cong :premises (@p29 @p52)) % 0.30/0.55 (step @p54 :rule cong :premises (@p53 @p48) :args ((= @t33 @t21))) % 0.30/0.55 (step @p55 :rule trans :premises (@p54 @p51)) % 0.30/0.55 (step @p56 :rule true_elim :premises (@p55)) % 0.30/0.55 (step @p57 :rule refl :args (@t19)) % 0.30/0.55 (step @p58 :rule cong :premises (@p57 @p56) :args (@t34)) % 0.30/0.55 (step @p59 :rule cong :premises (@p58) :args (@t35)) % 0.30/0.55 (step @p60 :rule refl :args (@t26)) % 0.30/0.55 (step @p61 :rule nary_cong :premises (@p60 @p59) :args (@t36)) % 0.30/0.55 ; WARNING: add trust step for TRUST % 0.30/0.55 ; trust TRUST THEORY_LEMMA % 0.30/0.55 (step @p62 :rule trust :premises () :args (@t36)) % 0.30/0.55 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 0.30/0.55 (step @p64 :rule chain_m_resolution :premises (@p63 @p46) :args ((not @t37) @t31 (@list @t26))) % 0.30/0.55 (step @p65 :rule cnf_equiv_neg2 :args (@t37)) % 0.30/0.55 (step @p66 :rule chain_m_resolution :premises (@p65 @p64 @p3) :args ((not @t19) (@list true false) (@list @t37 @t21))) % 0.30/0.55 (step @p67 :rule cnf_and_pos :args (@t20 0)) % 0.30/0.55 (step @p68 :rule reordering :premises (@p67) :args ((or @t19 @t38))) % 0.30/0.55 (step @p69 :rule chain_m_resolution :premises (@p68 @p66) :args (@t38 @t31 (@list @t19))) % 0.30/0.55 (step @p70 :rule cnf_equiv_neg1 :args (@t37)) % 0.30/0.55 (step @p71 :rule reordering :premises (@p70) :args ((or @t19 @t21 @t37))) % 0.30/0.55 (step @p72 :rule chain_m_resolution :premises (@p71 @p66 @p64) :args (@t21 (@list true true) (@list @t19 @t37))) % 0.30/0.55 (step @p73 :rule cnf_or_pos :args (@t21)) % 0.30/0.55 (step @p74 :rule reordering :premises (@p73) :args ((or @t19 @t20 (not @t21)))) % 0.30/0.55 (step @p75 false :rule chain_m_resolution :premises (@p74 @p72 @p69 @p66) :args (false (@list false true true) (@list @t21 @t20 @t19))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------