%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET618^5 : 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 08:48:15 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET618^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n003.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 16:04:59 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.38/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort tptp.a 0) % 0.38/0.56 (define @t1 () (@var "Xx" tptp.a)) % 0.38/0.56 (define @t2 () (lambda (@list @t1) false)) % 0.38/0.56 (define @t3 () (@var "Xz" tptp.a)) % 0.38/0.56 (define @t4 () (@var "X" (-> tptp.a Bool))) % 0.38/0.56 (define @t5 () (_ @t4 @t3)) % 0.38/0.56 (define @t6 () (not @t5)) % 0.38/0.56 (define @t7 () (and @t5 @t6)) % 0.38/0.56 (define @t8 () (or @t7 @t7)) % 0.38/0.56 (define @t9 () (@list @t3)) % 0.38/0.56 (define @t10 () (lambda @t9 @t8)) % 0.38/0.56 (define @t11 () (= @t10 @t2)) % 0.38/0.56 (define @t12 () (@list @t4)) % 0.38/0.56 (define @t13 () (forall @t12 @t11)) % 0.38/0.56 (define @t14 () (not @t13)) % 0.38/0.56 (define @t15 () (_ @t4 @t3)) % 0.38/0.56 (define @t16 () (lambda @t9 (and @t15 (not @t15)))) % 0.38/0.56 (define @t17 () (@var "BOUND_VARIABLE_7465" tptp.a)) % 0.38/0.56 (define @t18 () (lambda (@list @t17) false)) % 0.38/0.56 (define @t19 () (lambda @t9 @t7)) % 0.38/0.56 (define @t20 () (= @t19 @t18)) % 0.38/0.56 (define @t21 () (@purify @t18)) % 0.38/0.56 (define @t22 () (forall @t12 (= @t18 @t16))) % 0.38/0.56 (define @t23 () (@quantifiers_skolemize @t22 0)) % 0.38/0.56 (define @t24 () (_ @t23 @t3)) % 0.38/0.56 (define @t25 () (lambda @t9 (and @t24 (not @t24)))) % 0.38/0.56 (define @t26 () (@purify @t25)) % 0.38/0.56 (define @t27 () (= @t26 @t21)) % 0.38/0.56 (define @t28 () (not @t27)) % 0.38/0.56 (define @t29 () (not @t22)) % 0.38/0.56 (define @t30 () (= @t18 @t25)) % 0.38/0.56 (define @t31 () (not @t30)) % 0.38/0.56 (define @t32 () (@list true)) % 0.38/0.56 (define @t33 () (@const 0 tptp.a)) % 0.38/0.56 (define @t34 () (_ @t23 @t33)) % 0.38/0.56 (define @t35 () (not @t34)) % 0.38/0.56 (define @t36 () (and @t34 @t35)) % 0.38/0.56 (define @t37 () (_ @t18 @t33)) % 0.38/0.56 (define @t38 () (_ @t21 @t33)) % 0.38/0.56 (define @t39 () (= (_ @t25 @t33) @t36)) % 0.38/0.56 (define @t40 () (_ @t26 @t33)) % 0.38/0.56 (define @t41 () (= @t40 @t38)) % 0.38/0.56 (define @t42 () (not @t41)) % 0.38/0.56 (define @t43 () (or @t27 @t42)) % 0.38/0.56 (define @t44 () (not @t36)) % 0.38/0.56 (assume @p1 @t14) % 0.38/0.56 (assume @p2 true) % 0.38/0.56 (step @p3 :rule eq-symm :args (@t16 @t18)) % 0.38/0.56 (step @p4 :rule cong :premises (@p3) :args ((forall @t12 (= @t16 @t18)))) % 0.38/0.56 (step @p5 :rule refl :args (@t18)) % 0.38/0.56 (step @p6 :rule refl :args (@t15)) % 0.38/0.56 (step @p7 :rule refl :args (@t5)) % 0.38/0.56 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t5 @t15))) % 0.38/0.56 (step @p9 :rule symm :premises (@p8)) % 0.38/0.56 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.38/0.56 (step @p11 :rule cong :premises (@p10) :args (@t6)) % 0.38/0.56 (step @p12 :rule nary_cong :premises (@p10 @p11) :args (@t7)) % 0.38/0.56 (step @p13 :rule cong :premises (@p12) :args (@t19)) % 0.38/0.56 (step @p14 :rule cong :premises (@p13 @p5) :args (@t20)) % 0.38/0.56 (step @p15 :rule cong :premises (@p14) :args ((forall @t12 @t20))) % 0.38/0.56 (step @p16 :rule trans :premises (@p15 @p4)) % 0.38/0.56 (step @p17 :rule refl :args (@t18)) % 0.38/0.56 (step @p18 :rule symm :premises (@p17)) % 0.38/0.56 (step @p19 :rule alpha_equiv :args (@t2 (@list @t1) (@list @t17))) % 0.38/0.56 (step @p20 :rule trans :premises (@p19 @p18)) % 0.38/0.56 (step @p21 :rule aci_norm :args ((= @t8 @t7))) % 0.38/0.56 (step @p22 :rule cong :premises (@p21) :args (@t10)) % 0.38/0.56 (step @p23 :rule cong :premises (@p22 @p20) :args (@t11)) % 0.38/0.56 (step @p24 :rule cong :premises (@p23) :args (@t13)) % 0.38/0.56 (step @p25 :rule trans :premises (@p24 @p16)) % 0.38/0.56 (step @p26 :rule cong :premises (@p25) :args (@t14)) % 0.38/0.56 (step @p27 :rule eq_resolve :premises (@p1 @p26)) % 0.38/0.56 (step @p28 :rule refl :args (@t28)) % 0.38/0.56 (step @p29 :rule bool-double-not-elim :args (@t22)) % 0.38/0.56 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or (not @t29) @t28))) % 0.38/0.56 (step @p31 :rule eq-symm :args (@t21 @t26)) % 0.38/0.56 (step @p32 :rule eq-refl :args (@t25)) % 0.38/0.56 (step @p33 :rule skolem_intro :args (@t26)) % 0.38/0.56 (step @p34 :rule refl :args (@t25)) % 0.38/0.56 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t25 @t26))) % 0.38/0.56 (step @p36 :rule trans :premises (@p35 @p32)) % 0.38/0.56 (step @p37 :rule true_elim :premises (@p36)) % 0.38/0.56 (step @p38 :rule eq-refl :args (@t18)) % 0.38/0.56 (step @p39 :rule refl :args (@t18)) % 0.38/0.56 (step @p40 :rule cong :premises (@p39 @p18) :args ((= @t18 @t18))) % 0.38/0.56 (step @p41 :rule trans :premises (@p40 @p38)) % 0.38/0.56 (step @p42 :rule skolem_intro :args (@t21)) % 0.38/0.56 (step @p43 :rule cong :premises (@p39 @p42) :args ((= @t18 @t21))) % 0.38/0.56 (step @p44 :rule trans :premises (@p43 @p41)) % 0.38/0.56 (step @p45 :rule true_elim :premises (@p44)) % 0.38/0.56 (step @p46 :rule cong :premises (@p45 @p37) :args (@t30)) % 0.38/0.56 (step @p47 :rule trans :premises (@p46 @p31)) % 0.38/0.56 (step @p48 :rule cong :premises (@p47) :args (@t31)) % 0.38/0.56 (step @p49 :rule refl :args (@t29)) % 0.38/0.56 (step @p50 :rule cong :premises (@p49 @p48) :args ((=> @t29 @t31))) % 0.38/0.57 (assume-push @p95 @t29) % 0.38/0.57 (step @p52 :rule skolemize :premises (@p27)) % 0.38/0.57 (step-pop @p96 :rule scope :premises (@p52)) % 0.38/0.57 (step @p53 :rule process_scope :premises (@p96) :args (@t31)) % 0.38/0.57 (step @p55 :rule eq_resolve :premises (@p53 @p50)) % 0.38/0.57 (step @p56 :rule implies_elim :premises (@p55)) % 0.38/0.57 (step @p57 :rule eq_resolve :premises (@p56 @p30)) % 0.38/0.57 (step @p58 :rule chain_m_resolution :premises (@p57 @p27) :args (@t28 @t32 (@list @t22))) % 0.38/0.57 (step @p59 :rule bool-double-not-elim :args (@t36)) % 0.38/0.57 (step @p60 :rule bool-eq-false :args (@t36)) % 0.38/0.57 (step @p61 :rule evaluate :args ((not false))) % 0.38/0.57 (step @p62 :rule beta-reduce :args ((= @t37 false))) % 0.38/0.57 (step @p63 :rule cong :premises (@p62) :args ((not @t37))) % 0.38/0.57 (step @p64 :rule trans :premises (@p63 @p61)) % 0.38/0.57 (step @p65 :rule refl :args (@t33)) % 0.38/0.57 (step @p66 :rule ho_cong :premises (@p42 @p65)) % 0.38/0.57 (step @p67 :rule cong :premises (@p66) :args ((not @t38))) % 0.38/0.57 (step @p68 :rule bool-eq-false :args (@t38)) % 0.38/0.57 (step @p69 :rule trans :premises (@p68 @p67 @p64)) % 0.38/0.57 (step @p70 :rule true_elim :premises (@p69)) % 0.38/0.57 (step @p71 :rule eq-refl :args (@t36)) % 0.38/0.57 (step @p72 :rule refl :args (@t36)) % 0.38/0.57 (step @p73 :rule beta-reduce :args (@t39)) % 0.38/0.57 (step @p74 :rule cong :premises (@p73 @p72) :args (@t39)) % 0.38/0.57 (step @p75 :rule trans :premises (@p74 @p71)) % 0.38/0.57 (step @p76 :rule ho_cong :premises (@p33 @p65)) % 0.38/0.57 (step @p77 :rule cong :premises (@p76 @p72) :args ((= @t40 @t36))) % 0.38/0.57 (step @p78 :rule trans :premises (@p77 @p75)) % 0.38/0.57 (step @p79 :rule true_elim :premises (@p78)) % 0.38/0.57 (step @p80 :rule cong :premises (@p79 @p70) :args (@t41)) % 0.38/0.57 (step @p81 :rule trans :premises (@p80 @p60)) % 0.38/0.57 (step @p82 :rule cong :premises (@p81) :args (@t42)) % 0.38/0.57 (step @p83 :rule trans :premises (@p82 @p59)) % 0.38/0.57 (step @p84 :rule refl :args (@t27)) % 0.38/0.57 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t43)) % 0.38/0.57 ; WARNING: add trust step for TRUST % 0.38/0.57 ; trust TRUST THEORY_LEMMA % 0.38/0.57 (step @p86 :rule trust :premises () :args (@t43)) % 0.38/0.57 (step @p87 :rule eq_resolve :premises (@p86 @p85)) % 0.38/0.57 (step @p88 :rule chain_m_resolution :premises (@p87 @p58) :args (@t36 @t32 (@list @t27))) % 0.38/0.57 (step @p89 :rule cnf_and_pos :args (@t36 0)) % 0.38/0.57 (step @p90 :rule reordering :premises (@p89) :args ((or @t34 @t44))) % 0.38/0.57 (step @p91 :rule chain_m_resolution :premises (@p90 @p88) :args (@t34 (@list false) (@list @t36))) % 0.38/0.57 (step @p92 :rule cnf_and_pos :args (@t36 1)) % 0.38/0.57 (step @p93 :rule reordering :premises (@p92) :args ((or @t35 @t44))) % 0.38/0.57 (step @p94 false :rule chain_m_resolution :premises (@p93 @p91 @p88) :args (false (@list false false) (@list @t34 @t36))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------