%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET063^5 : 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 : n005.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 08:47:12 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 : SET063^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n005.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 14:49:48 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 "Xx" tptp.a)) % 0.30/0.55 (define @t2 () (@list @t1)) % 0.30/0.55 (define @t3 () (lambda @t2 false)) % 0.30/0.55 (define @t4 () (@var "X" (-> tptp.a Bool))) % 0.30/0.55 (define @t5 () (= @t4 @t3)) % 0.30/0.55 (define @t6 () (_ @t4 @t1)) % 0.30/0.55 (define @t7 () (forall @t2 (=> @t6 false))) % 0.30/0.55 (define @t8 () (=> @t7 @t5)) % 0.30/0.55 (define @t9 () (@list @t4)) % 0.30/0.55 (define @t10 () (forall @t9 @t8)) % 0.30/0.55 (define @t11 () (not @t10)) % 0.30/0.55 (define @t12 () (_ @t4 @t1)) % 0.30/0.55 (define @t13 () (forall @t2 (not @t12))) % 0.30/0.55 (define @t14 () (@var "BOUND_VARIABLE_7464" tptp.a)) % 0.30/0.55 (define @t15 () (lambda (@list @t14) false)) % 0.30/0.55 (define @t16 () (= @t4 @t15)) % 0.30/0.55 (define @t17 () (not @t6)) % 0.30/0.55 (define @t18 () (@purify @t15)) % 0.30/0.55 (define @t19 () (forall @t9 (or (not @t13) @t16))) % 0.30/0.55 (define @t20 () (@quantifiers_skolemize @t19 0)) % 0.30/0.55 (define @t21 () (= @t20 @t18)) % 0.30/0.55 (define @t22 () (forall @t2 (not (_ @t20 @t1)))) % 0.30/0.55 (define @t23 () (not @t22)) % 0.30/0.55 (define @t24 () (or @t23 @t21)) % 0.30/0.55 (define @t25 () (not @t24)) % 0.30/0.55 (define @t26 () (not @t19)) % 0.30/0.55 (define @t27 () (= @t15 @t20)) % 0.30/0.55 (define @t28 () (or @t23 @t27)) % 0.30/0.55 (define @t29 () (not @t28)) % 0.30/0.55 (define @t30 () (or @t23 (= @t20 @t15))) % 0.30/0.55 (define @t31 () (not @t30)) % 0.30/0.55 (define @t32 () (@list true)) % 0.30/0.55 (define @t33 () (@list @t24)) % 0.30/0.55 (define @t34 () (@const 0 tptp.a)) % 0.30/0.55 (define @t35 () (_ @t20 @t34)) % 0.30/0.55 (define @t36 () (_ @t15 @t34)) % 0.30/0.55 (define @t37 () (_ @t18 @t34)) % 0.30/0.55 (define @t38 () (= @t35 @t37)) % 0.30/0.55 (define @t39 () (not @t38)) % 0.30/0.55 (define @t40 () (or @t21 @t39)) % 0.30/0.55 (assume @p1 @t11) % 0.30/0.55 (assume @p2 true) % 0.30/0.55 (step @p3 :rule bool-impl-elim :args (@t13 @t16)) % 0.30/0.55 (step @p4 :rule cong :premises (@p3) :args ((forall @t9 (=> @t13 @t16)))) % 0.30/0.55 (step @p5 :rule refl :args (@t15)) % 0.30/0.55 (step @p6 :rule symm :premises (@p5)) % 0.30/0.55 (step @p7 :rule alpha_equiv :args (@t3 (@list @t1) (@list @t14))) % 0.30/0.55 (step @p8 :rule trans :premises (@p7 @p6)) % 0.30/0.55 (step @p9 :rule refl :args (@t4)) % 0.30/0.55 (step @p10 :rule cong :premises (@p9 @p8) :args (@t5)) % 0.30/0.55 (step @p11 :rule refl :args (@t12)) % 0.30/0.55 (step @p12 :rule refl :args (@t6)) % 0.30/0.55 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t6 @t12))) % 0.30/0.55 (step @p14 :rule symm :premises (@p13)) % 0.30/0.55 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.30/0.55 (step @p16 :rule cong :premises (@p15) :args (@t17)) % 0.30/0.55 (step @p17 :rule cong :premises (@p16) :args ((forall @t2 @t17))) % 0.30/0.55 (step @p18 :rule bool-impl-false1 :args (@t6)) % 0.30/0.55 (step @p19 :rule cong :premises (@p18) :args (@t7)) % 0.30/0.55 (step @p20 :rule trans :premises (@p19 @p17)) % 0.30/0.55 (step @p21 :rule cong :premises (@p20 @p10) :args (@t8)) % 0.30/0.55 (step @p22 :rule cong :premises (@p21) :args (@t10)) % 0.30/0.55 (step @p23 :rule trans :premises (@p22 @p4)) % 0.30/0.55 (step @p24 :rule cong :premises (@p23) :args (@t11)) % 0.30/0.55 (step @p25 :rule eq_resolve :premises (@p1 @p24)) % 0.30/0.55 (step @p26 :rule refl :args (@t25)) % 0.30/0.55 (step @p27 :rule bool-double-not-elim :args (@t19)) % 0.30/0.55 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or (not @t26) @t25))) % 0.30/0.55 (step @p29 :rule eq-symm :args (@t18 @t20)) % 0.30/0.55 (step @p30 :rule refl :args (@t20)) % 0.30/0.55 (step @p31 :rule eq-refl :args (@t15)) % 0.30/0.55 (step @p32 :rule refl :args (@t15)) % 0.30/0.55 (step @p33 :rule cong :premises (@p32 @p6) :args ((= @t15 @t15))) % 0.30/0.55 (step @p34 :rule trans :premises (@p33 @p31)) % 0.30/0.55 (step @p35 :rule skolem_intro :args (@t18)) % 0.30/0.55 (step @p36 :rule cong :premises (@p32 @p35) :args ((= @t15 @t18))) % 0.30/0.55 (step @p37 :rule trans :premises (@p36 @p34)) % 0.30/0.55 (step @p38 :rule true_elim :premises (@p37)) % 0.30/0.55 (step @p39 :rule cong :premises (@p38 @p30) :args (@t27)) % 0.30/0.55 (step @p40 :rule trans :premises (@p39 @p29)) % 0.30/0.55 (step @p41 :rule refl :args (@t23)) % 0.30/0.55 (step @p42 :rule nary_cong :premises (@p41 @p40) :args (@t28)) % 0.30/0.55 (step @p43 :rule cong :premises (@p42) :args (@t29)) % 0.30/0.55 (step @p44 :rule refl :args (@t26)) % 0.30/0.55 (step @p45 :rule cong :premises (@p44 @p43) :args ((=> @t26 @t29))) % 0.30/0.55 (step @p46 :rule eq-symm :args (@t20 @t15)) % 0.30/0.55 (step @p47 :rule nary_cong :premises (@p41 @p46) :args (@t30)) % 0.30/0.55 (step @p48 :rule cong :premises (@p47) :args (@t31)) % 0.30/0.55 (step @p49 :rule cong :premises (@p44 @p48) :args ((=> @t26 @t31))) % 0.30/0.55 (step @p50 :rule trans :premises (@p49 @p45)) % 0.30/0.55 (assume-push @p96 @t26) % 0.30/0.55 (step @p52 :rule skolemize :premises (@p25)) % 0.30/0.55 (step-pop @p97 :rule scope :premises (@p52)) % 0.30/0.55 (step @p53 :rule process_scope :premises (@p97) :args (@t31)) % 0.30/0.55 (step @p55 :rule eq_resolve :premises (@p53 @p50)) % 0.30/0.55 (step @p56 :rule implies_elim :premises (@p55)) % 0.30/0.55 (step @p57 :rule eq_resolve :premises (@p56 @p28)) % 0.30/0.55 (step @p58 :rule chain_m_resolution :premises (@p57 @p25) :args (@t25 @t32 (@list @t19))) % 0.30/0.55 (step @p59 :rule bool-double-not-elim :args (@t22)) % 0.30/0.55 (step @p60 :rule refl :args (@t24)) % 0.30/0.55 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t24 (not @t23)))) % 0.30/0.55 (step @p62 :rule cnf_or_neg :args (@t24 0)) % 0.30/0.55 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 0.30/0.55 (step @p64 :rule reordering :premises (@p63) :args ((or @t22 @t24))) % 0.30/0.55 (step @p65 :rule chain_m_resolution :premises (@p64 @p58) :args (@t22 @t32 @t33)) % 0.30/0.55 (step @p66 :rule cnf_or_neg :args (@t24 1)) % 0.30/0.55 (step @p67 :rule chain_m_resolution :premises (@p66 @p58) :args ((not @t21) @t32 @t33)) % 0.30/0.55 (step @p68 :rule bool-double-not-elim :args (@t35)) % 0.30/0.55 (step @p69 :rule bool-eq-false :args (@t35)) % 0.30/0.55 (step @p70 :rule evaluate :args ((not false))) % 0.30/0.55 (step @p71 :rule beta-reduce :args ((= @t36 false))) % 0.30/0.55 (step @p72 :rule cong :premises (@p71) :args ((not @t36))) % 0.30/0.55 (step @p73 :rule trans :premises (@p72 @p70)) % 0.30/0.55 (step @p74 :rule refl :args (@t34)) % 0.30/0.55 (step @p75 :rule ho_cong :premises (@p35 @p74)) % 0.30/0.55 (step @p76 :rule cong :premises (@p75) :args ((not @t37))) % 0.30/0.55 (step @p77 :rule bool-eq-false :args (@t37)) % 0.30/0.55 (step @p78 :rule trans :premises (@p77 @p76 @p73)) % 0.30/0.55 (step @p79 :rule true_elim :premises (@p78)) % 0.30/0.55 (step @p80 :rule refl :args (@t35)) % 0.30/0.55 (step @p81 :rule cong :premises (@p80 @p79) :args (@t38)) % 0.30/0.55 (step @p82 :rule trans :premises (@p81 @p69)) % 0.30/0.55 (step @p83 :rule cong :premises (@p82) :args (@t39)) % 0.30/0.55 (step @p84 :rule trans :premises (@p83 @p68)) % 0.30/0.55 (step @p85 :rule refl :args (@t21)) % 0.30/0.55 (step @p86 :rule nary_cong :premises (@p85 @p84) :args (@t40)) % 0.30/0.55 ; WARNING: add trust step for TRUST % 0.30/0.55 ; trust TRUST THEORY_LEMMA % 0.30/0.55 (step @p87 :rule trust :premises () :args (@t40)) % 0.30/0.55 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.30/0.55 (step @p89 :rule chain_m_resolution :premises (@p88 @p67) :args (@t35 @t32 (@list @t21))) % 0.30/0.55 (assume-push @p98 @t22) % 0.30/0.55 (step @p91 :rule instantiate :premises (@p65) :args ((@list @t34))) % 0.30/0.55 (step-pop @p99 :rule scope :premises (@p91)) % 0.30/0.55 (step @p92 :rule process_scope :premises (@p99) :args ((not @t35))) % 0.30/0.55 (step @p94 :rule implies_elim :premises (@p92)) % 0.30/0.55 (step @p95 false :rule chain_m_resolution :premises (@p94 @p89 @p65) :args (false (@list false false) (@list @t35 @t22))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------