%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET173^5 : 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 : n026.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 08:47:34 AM UTC 2026 % Result : Theorem 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SET173^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n026.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 15:07:10 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.36/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.56 % SZS status Theorem % 0.36/0.56 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (declare-sort tptp.a 0) % 0.36/0.56 (define @t1 () (@var "X" (-> tptp.a Bool))) % 0.36/0.56 (define @t2 () (@var "Xx" tptp.a)) % 0.36/0.56 (define @t3 () (@var "Y" (-> tptp.a Bool))) % 0.36/0.56 (define @t4 () (_ @t3 @t2)) % 0.36/0.56 (define @t5 () (_ @t1 @t2)) % 0.36/0.56 (define @t6 () (or @t5 @t4)) % 0.36/0.56 (define @t7 () (and @t5 @t6)) % 0.36/0.56 (define @t8 () (@list @t2)) % 0.36/0.56 (define @t9 () (lambda @t8 @t7)) % 0.36/0.56 (define @t10 () (@list @t1 @t3)) % 0.36/0.56 (define @t11 () (forall @t10 (= @t9 @t1))) % 0.36/0.56 (define @t12 () (not @t11)) % 0.36/0.56 (define @t13 () (_ @t3 @t2)) % 0.36/0.56 (define @t14 () (_ @t1 @t2)) % 0.36/0.56 (define @t15 () (= @t1 @t9)) % 0.36/0.56 (define @t16 () (forall @t10 (= @t1 (lambda @t8 (and @t14 (or @t14 @t13)))))) % 0.36/0.56 (define @t17 () (@quantifiers_skolemize @t16 1)) % 0.36/0.56 (define @t18 () (@quantifiers_skolemize @t16 0)) % 0.36/0.56 (define @t19 () (_ @t18 @t2)) % 0.36/0.56 (define @t20 () (lambda @t8 (and @t19 (or @t19 (_ @t17 @t2))))) % 0.36/0.56 (define @t21 () (@purify @t20)) % 0.36/0.56 (define @t22 () (= @t18 @t21)) % 0.36/0.56 (define @t23 () (not @t22)) % 0.36/0.56 (define @t24 () (not @t16)) % 0.36/0.56 (define @t25 () (= @t18 @t20)) % 0.36/0.56 (define @t26 () (not @t25)) % 0.36/0.56 (define @t27 () (@list true)) % 0.36/0.56 (define @t28 () (@const 0 tptp.a)) % 0.36/0.56 (define @t29 () (_ @t18 @t28)) % 0.36/0.56 (define @t30 () (or @t29 (_ @t17 @t28))) % 0.36/0.56 (define @t31 () (and @t29 @t30)) % 0.36/0.56 (define @t32 () (= (_ @t20 @t28) @t31)) % 0.36/0.56 (define @t33 () (_ @t21 @t28)) % 0.36/0.56 (define @t34 () (= @t29 @t33)) % 0.36/0.56 (define @t35 () (not @t34)) % 0.36/0.56 (define @t36 () (or @t22 @t35)) % 0.36/0.56 (define @t37 () (= @t29 @t31)) % 0.36/0.56 (define @t38 () (not @t31)) % 0.36/0.56 (assume @p1 @t12) % 0.36/0.56 (assume @p2 true) % 0.36/0.56 (step @p3 :rule refl :args (@t13)) % 0.36/0.56 (step @p4 :rule refl :args (@t4)) % 0.36/0.56 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t4 @t13))) % 0.36/0.56 (step @p6 :rule symm :premises (@p5)) % 0.36/0.56 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.36/0.56 (step @p8 :rule refl :args (@t14)) % 0.36/0.56 (step @p9 :rule refl :args (@t5)) % 0.36/0.56 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t5 @t14))) % 0.36/0.56 (step @p11 :rule symm :premises (@p10)) % 0.36/0.56 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.36/0.56 (step @p13 :rule nary_cong :premises (@p12 @p7) :args (@t6)) % 0.36/0.56 (step @p14 :rule nary_cong :premises (@p12 @p13) :args (@t7)) % 0.36/0.56 (step @p15 :rule cong :premises (@p14) :args (@t9)) % 0.36/0.56 (step @p16 :rule refl :args (@t1)) % 0.36/0.56 (step @p17 :rule cong :premises (@p16 @p15) :args (@t15)) % 0.36/0.56 (step @p18 :rule cong :premises (@p17) :args ((forall @t10 @t15))) % 0.36/0.56 (step @p19 :rule eq-symm :args (@t9 @t1)) % 0.36/0.56 (step @p20 :rule cong :premises (@p19) :args (@t11)) % 0.36/0.56 (step @p21 :rule trans :premises (@p20 @p18)) % 0.36/0.56 (step @p22 :rule cong :premises (@p21) :args (@t12)) % 0.36/0.56 (step @p23 :rule eq_resolve :premises (@p1 @p22)) % 0.36/0.56 (step @p24 :rule refl :args (@t23)) % 0.36/0.56 (step @p25 :rule bool-double-not-elim :args (@t16)) % 0.36/0.56 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or (not @t24) @t23))) % 0.36/0.56 (step @p27 :rule eq-refl :args (@t20)) % 0.36/0.56 (step @p28 :rule skolem_intro :args (@t21)) % 0.36/0.56 (step @p29 :rule refl :args (@t20)) % 0.36/0.56 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t20 @t21))) % 0.36/0.56 (step @p31 :rule trans :premises (@p30 @p27)) % 0.36/0.56 (step @p32 :rule true_elim :premises (@p31)) % 0.36/0.56 (step @p33 :rule refl :args (@t18)) % 0.36/0.56 (step @p34 :rule cong :premises (@p33 @p32) :args (@t25)) % 0.36/0.56 (step @p35 :rule cong :premises (@p34) :args (@t26)) % 0.36/0.56 (step @p36 :rule refl :args (@t24)) % 0.36/0.56 (step @p37 :rule cong :premises (@p36 @p35) :args ((=> @t24 @t26))) % 0.36/0.56 (assume-push @p74 @t24) % 0.36/0.56 (step @p39 :rule skolemize :premises (@p23)) % 0.36/0.56 (step-pop @p75 :rule scope :premises (@p39)) % 0.36/0.56 (step @p40 :rule process_scope :premises (@p75) :args (@t26)) % 0.36/0.56 (step @p42 :rule eq_resolve :premises (@p40 @p37)) % 0.36/0.56 (step @p43 :rule implies_elim :premises (@p42)) % 0.36/0.56 (step @p44 :rule eq_resolve :premises (@p43 @p26)) % 0.36/0.56 (step @p45 :rule chain_m_resolution :premises (@p44 @p23) :args (@t23 @t27 (@list @t16))) % 0.36/0.56 (step @p46 :rule eq-refl :args (@t31)) % 0.36/0.56 (step @p47 :rule refl :args (@t31)) % 0.36/0.56 (step @p48 :rule beta-reduce :args (@t32)) % 0.36/0.56 (step @p49 :rule cong :premises (@p48 @p47) :args (@t32)) % 0.36/0.56 (step @p50 :rule trans :premises (@p49 @p46)) % 0.36/0.56 (step @p51 :rule refl :args (@t28)) % 0.36/0.56 (step @p52 :rule ho_cong :premises (@p28 @p51)) % 0.36/0.56 (step @p53 :rule cong :premises (@p52 @p47) :args ((= @t33 @t31))) % 0.36/0.56 (step @p54 :rule trans :premises (@p53 @p50)) % 0.36/0.57 (step @p55 :rule true_elim :premises (@p54)) % 0.36/0.57 (step @p56 :rule refl :args (@t29)) % 0.36/0.57 (step @p57 :rule cong :premises (@p56 @p55) :args (@t34)) % 0.36/0.57 (step @p58 :rule cong :premises (@p57) :args (@t35)) % 0.36/0.57 (step @p59 :rule refl :args (@t22)) % 0.36/0.57 (step @p60 :rule nary_cong :premises (@p59 @p58) :args (@t36)) % 0.36/0.57 ; WARNING: add trust step for TRUST % 0.36/0.57 ; trust TRUST THEORY_LEMMA % 0.36/0.57 (step @p61 :rule trust :premises () :args (@t36)) % 0.36/0.57 (step @p62 :rule eq_resolve :premises (@p61 @p60)) % 0.36/0.57 (step @p63 :rule chain_m_resolution :premises (@p62 @p45) :args ((not @t37) @t27 (@list @t22))) % 0.36/0.57 (step @p64 :rule cnf_or_neg :args (@t30 0)) % 0.36/0.57 (step @p65 :rule cnf_equiv_neg2 :args (@t37)) % 0.36/0.57 (step @p66 :rule cnf_and_neg :args (@t31)) % 0.36/0.57 (step @p67 :rule chain_m_resolution :premises (@p66 @p65 @p63 @p64) :args ((not @t29) (@list true true false) (@list @t31 @t37 @t30))) % 0.36/0.57 (step @p68 :rule cnf_and_pos :args (@t31 0)) % 0.36/0.57 (step @p69 :rule reordering :premises (@p68) :args ((or @t29 @t38))) % 0.36/0.57 (step @p70 :rule chain_m_resolution :premises (@p69 @p67) :args (@t38 @t27 (@list @t29))) % 0.36/0.57 (step @p71 :rule cnf_equiv_neg1 :args (@t37)) % 0.36/0.57 (step @p72 :rule reordering :premises (@p71) :args ((or @t29 @t31 @t37))) % 0.36/0.57 (step @p73 false :rule chain_m_resolution :premises (@p72 @p70 @p67 @p63) :args (false (@list true true true) (@list @t31 @t29 @t37))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------