%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET591^5 : 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 : n016.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 08:48:08 AM UTC 2026 % Result : Theorem 0.33s 0.56s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET591^5 : TPTP v9.2.1. Released v4.0.0. % 0.14/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:04:24 EDT 2026 % 0.17/0.34 % CPUTime : % 0.33/0.49 %----Proving TH0 % 0.33/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.33/0.56 % SZS status Theorem % 0.33/0.56 % SZS output start Proof % 0.33/0.56 ( % 0.33/0.56 (declare-sort tptp.a 0) % 0.33/0.56 (define @t1 () (@var "Xx" tptp.a)) % 0.33/0.56 (define @t2 () (@list @t1)) % 0.33/0.56 (define @t3 () (lambda @t2 false)) % 0.33/0.56 (define @t4 () (@var "X" (-> tptp.a Bool))) % 0.33/0.56 (define @t5 () (= @t4 @t3)) % 0.33/0.56 (define @t6 () (_ @t4 @t1)) % 0.33/0.56 (define @t7 () (not @t6)) % 0.33/0.56 (define @t8 () (@var "Y" (-> tptp.a Bool))) % 0.33/0.56 (define @t9 () (_ @t8 @t1)) % 0.33/0.56 (define @t10 () (and @t9 @t7)) % 0.33/0.56 (define @t11 () (forall @t2 (=> @t6 @t10))) % 0.33/0.56 (define @t12 () (=> @t11 @t5)) % 0.33/0.56 (define @t13 () (@list @t4 @t8)) % 0.33/0.56 (define @t14 () (forall @t13 @t12)) % 0.33/0.56 (define @t15 () (not @t14)) % 0.33/0.56 (define @t16 () (_ @t4 @t1)) % 0.33/0.56 (define @t17 () (not @t16)) % 0.33/0.56 (define @t18 () (_ @t8 @t1)) % 0.33/0.56 (define @t19 () (forall @t2 (or @t17 (and @t18 @t17)))) % 0.33/0.56 (define @t20 () (@var "BOUND_VARIABLE_7481" tptp.a)) % 0.33/0.56 (define @t21 () (lambda (@list @t20) false)) % 0.33/0.56 (define @t22 () (= @t4 @t21)) % 0.33/0.56 (define @t23 () (or @t7 @t10)) % 0.33/0.56 (define @t24 () (@purify @t21)) % 0.33/0.56 (define @t25 () (forall @t13 (or (not @t19) @t22))) % 0.33/0.56 (define @t26 () (@quantifiers_skolemize @t25 0)) % 0.33/0.56 (define @t27 () (= @t26 @t24)) % 0.33/0.56 (define @t28 () (not (_ @t26 @t1))) % 0.33/0.56 (define @t29 () (@quantifiers_skolemize @t25 1)) % 0.33/0.56 (define @t30 () (forall @t2 (or @t28 (and (_ @t29 @t1) @t28)))) % 0.33/0.56 (define @t31 () (not @t30)) % 0.33/0.56 (define @t32 () (or @t31 @t27)) % 0.33/0.56 (define @t33 () (not @t32)) % 0.33/0.56 (define @t34 () (not @t25)) % 0.33/0.56 (define @t35 () (= @t21 @t26)) % 0.33/0.56 (define @t36 () (or @t31 @t35)) % 0.33/0.56 (define @t37 () (not @t36)) % 0.33/0.56 (define @t38 () (or @t31 (= @t26 @t21))) % 0.33/0.56 (define @t39 () (not @t38)) % 0.33/0.56 (define @t40 () (@list true)) % 0.33/0.56 (define @t41 () (@list @t32)) % 0.33/0.56 (define @t42 () (@const 0 tptp.a)) % 0.33/0.56 (define @t43 () (_ @t26 @t42)) % 0.33/0.56 (define @t44 () (_ @t21 @t42)) % 0.33/0.56 (define @t45 () (_ @t24 @t42)) % 0.33/0.56 (define @t46 () (= @t43 @t45)) % 0.33/0.56 (define @t47 () (not @t46)) % 0.33/0.56 (define @t48 () (or @t27 @t47)) % 0.33/0.56 (define @t49 () (not @t43)) % 0.33/0.56 (define @t50 () (and (_ @t29 @t42) @t49)) % 0.33/0.56 (define @t51 () (not @t50)) % 0.33/0.56 (define @t52 () (or @t49 @t50)) % 0.33/0.56 (assume @p1 @t15) % 0.33/0.56 (assume @p2 true) % 0.33/0.56 (step @p3 :rule bool-impl-elim :args (@t19 @t22)) % 0.33/0.56 (step @p4 :rule cong :premises (@p3) :args ((forall @t13 (=> @t19 @t22)))) % 0.33/0.56 (step @p5 :rule refl :args (@t21)) % 0.33/0.56 (step @p6 :rule symm :premises (@p5)) % 0.33/0.56 (step @p7 :rule alpha_equiv :args (@t3 (@list @t1) (@list @t20))) % 0.33/0.56 (step @p8 :rule trans :premises (@p7 @p6)) % 0.33/0.56 (step @p9 :rule refl :args (@t4)) % 0.33/0.56 (step @p10 :rule cong :premises (@p9 @p8) :args (@t5)) % 0.33/0.56 (step @p11 :rule refl :args (@t16)) % 0.33/0.56 (step @p12 :rule refl :args (@t6)) % 0.33/0.56 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t6 @t16))) % 0.33/0.56 (step @p14 :rule symm :premises (@p13)) % 0.33/0.56 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.33/0.56 (step @p16 :rule cong :premises (@p15) :args (@t7)) % 0.33/0.56 (step @p17 :rule refl :args (@t18)) % 0.33/0.56 (step @p18 :rule refl :args (@t9)) % 0.33/0.56 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t9 @t18))) % 0.33/0.56 (step @p20 :rule symm :premises (@p19)) % 0.33/0.56 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.33/0.56 (step @p22 :rule nary_cong :premises (@p21 @p16) :args (@t10)) % 0.33/0.56 (step @p23 :rule nary_cong :premises (@p16 @p22) :args (@t23)) % 0.33/0.56 (step @p24 :rule cong :premises (@p23) :args ((forall @t2 @t23))) % 0.33/0.56 (step @p25 :rule bool-impl-elim :args (@t6 @t10)) % 0.33/0.56 (step @p26 :rule cong :premises (@p25) :args (@t11)) % 0.33/0.56 (step @p27 :rule trans :premises (@p26 @p24)) % 0.33/0.56 (step @p28 :rule cong :premises (@p27 @p10) :args (@t12)) % 0.33/0.56 (step @p29 :rule cong :premises (@p28) :args (@t14)) % 0.33/0.56 (step @p30 :rule trans :premises (@p29 @p4)) % 0.33/0.56 (step @p31 :rule cong :premises (@p30) :args (@t15)) % 0.33/0.56 (step @p32 :rule eq_resolve :premises (@p1 @p31)) % 0.33/0.56 (step @p33 :rule refl :args (@t33)) % 0.33/0.56 (step @p34 :rule bool-double-not-elim :args (@t25)) % 0.33/0.56 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or (not @t34) @t33))) % 0.33/0.56 (step @p36 :rule eq-symm :args (@t24 @t26)) % 0.33/0.56 (step @p37 :rule refl :args (@t26)) % 0.33/0.56 (step @p38 :rule eq-refl :args (@t21)) % 0.33/0.56 (step @p39 :rule refl :args (@t21)) % 0.33/0.56 (step @p40 :rule cong :premises (@p39 @p6) :args ((= @t21 @t21))) % 0.33/0.56 (step @p41 :rule trans :premises (@p40 @p38)) % 0.33/0.56 (step @p42 :rule skolem_intro :args (@t24)) % 0.33/0.56 (step @p43 :rule cong :premises (@p39 @p42) :args ((= @t21 @t24))) % 0.40/0.56 (step @p44 :rule trans :premises (@p43 @p41)) % 0.40/0.56 (step @p45 :rule true_elim :premises (@p44)) % 0.40/0.56 (step @p46 :rule cong :premises (@p45 @p37) :args (@t35)) % 0.40/0.56 (step @p47 :rule trans :premises (@p46 @p36)) % 0.40/0.56 (step @p48 :rule refl :args (@t31)) % 0.40/0.56 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t36)) % 0.40/0.56 (step @p50 :rule cong :premises (@p49) :args (@t37)) % 0.40/0.56 (step @p51 :rule refl :args (@t34)) % 0.40/0.56 (step @p52 :rule cong :premises (@p51 @p50) :args ((=> @t34 @t37))) % 0.40/0.56 (step @p53 :rule eq-symm :args (@t26 @t21)) % 0.40/0.56 (step @p54 :rule nary_cong :premises (@p48 @p53) :args (@t38)) % 0.40/0.56 (step @p55 :rule cong :premises (@p54) :args (@t39)) % 0.40/0.56 (step @p56 :rule cong :premises (@p51 @p55) :args ((=> @t34 @t39))) % 0.40/0.56 (step @p57 :rule trans :premises (@p56 @p52)) % 0.40/0.56 (assume-push @p104 @t34) % 0.40/0.56 (step @p59 :rule skolemize :premises (@p32)) % 0.40/0.56 (step-pop @p105 :rule scope :premises (@p59)) % 0.40/0.56 (step @p60 :rule process_scope :premises (@p105) :args (@t39)) % 0.40/0.56 (step @p62 :rule eq_resolve :premises (@p60 @p57)) % 0.40/0.56 (step @p63 :rule implies_elim :premises (@p62)) % 0.40/0.56 (step @p64 :rule eq_resolve :premises (@p63 @p35)) % 0.40/0.56 (step @p65 :rule chain_m_resolution :premises (@p64 @p32) :args (@t33 @t40 (@list @t25))) % 0.40/0.56 (step @p66 :rule cnf_or_neg :args (@t32 1)) % 0.40/0.56 (step @p67 :rule chain_m_resolution :premises (@p66 @p65) :args ((not @t27) @t40 @t41)) % 0.40/0.56 (step @p68 :rule bool-double-not-elim :args (@t43)) % 0.40/0.56 (step @p69 :rule bool-eq-false :args (@t43)) % 0.40/0.56 (step @p70 :rule evaluate :args ((not false))) % 0.40/0.56 (step @p71 :rule beta-reduce :args ((= @t44 false))) % 0.40/0.56 (step @p72 :rule cong :premises (@p71) :args ((not @t44))) % 0.40/0.56 (step @p73 :rule trans :premises (@p72 @p70)) % 0.40/0.56 (step @p74 :rule refl :args (@t42)) % 0.40/0.56 (step @p75 :rule ho_cong :premises (@p42 @p74)) % 0.40/0.56 (step @p76 :rule cong :premises (@p75) :args ((not @t45))) % 0.40/0.56 (step @p77 :rule bool-eq-false :args (@t45)) % 0.40/0.56 (step @p78 :rule trans :premises (@p77 @p76 @p73)) % 0.40/0.56 (step @p79 :rule true_elim :premises (@p78)) % 0.40/0.56 (step @p80 :rule refl :args (@t43)) % 0.40/0.56 (step @p81 :rule cong :premises (@p80 @p79) :args (@t46)) % 0.40/0.56 (step @p82 :rule trans :premises (@p81 @p69)) % 0.40/0.56 (step @p83 :rule cong :premises (@p82) :args (@t47)) % 0.40/0.56 (step @p84 :rule trans :premises (@p83 @p68)) % 0.40/0.56 (step @p85 :rule refl :args (@t27)) % 0.40/0.56 (step @p86 :rule nary_cong :premises (@p85 @p84) :args (@t48)) % 0.40/0.56 ; WARNING: add trust step for TRUST % 0.40/0.56 ; trust TRUST THEORY_LEMMA % 0.40/0.56 (step @p87 :rule trust :premises () :args (@t48)) % 0.40/0.56 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.40/0.56 (step @p89 :rule chain_m_resolution :premises (@p88 @p67) :args (@t43 @t40 (@list @t27))) % 0.40/0.56 (step @p90 :rule cnf_and_pos :args (@t50 1)) % 0.40/0.56 (step @p91 :rule reordering :premises (@p90) :args ((or @t49 @t51))) % 0.40/0.56 (step @p92 :rule chain_m_resolution :premises (@p91 @p89) :args (@t51 (@list false) (@list @t43))) % 0.40/0.56 (step @p93 :rule bool-double-not-elim :args (@t30)) % 0.40/0.56 (step @p94 :rule refl :args (@t32)) % 0.40/0.56 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or @t32 (not @t31)))) % 0.40/0.56 (step @p96 :rule cnf_or_neg :args (@t32 0)) % 0.40/0.56 (step @p97 :rule eq_resolve :premises (@p96 @p95)) % 0.40/0.56 (step @p98 :rule reordering :premises (@p97) :args ((or @t30 @t32))) % 0.40/0.56 (step @p99 :rule chain_m_resolution :premises (@p98 @p65) :args (@t30 @t40 @t41)) % 0.40/0.56 (step @p100 :rule instantiate :premises (@p99) :args ((@list @t42))) % 0.40/0.56 (step @p101 :rule cnf_or_pos :args (@t52)) % 0.40/0.56 (step @p102 :rule reordering :premises (@p101) :args ((or @t49 @t50 (not @t52)))) % 0.40/0.56 (step @p103 false :rule chain_m_resolution :premises (@p102 @p100 @p92 @p89) :args (false (@list false true false) (@list @t52 @t50 @t43))) % 0.40/0.56 ) % 0.40/0.56 % SZS output end Proof % 0.40/0.56 % cvc5 exiting %------------------------------------------------------------------------------