%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET580^5 : 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 : n009.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 08:48:05 AM UTC 2026 % Result : Theorem 0.32s 0.55s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET580^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n009.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 16:03:14 EDT 2026 % 0.18/0.34 % CPUTime : % 0.32/0.49 %----Proving TH0 % 0.32/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.32/0.55 % SZS status Theorem % 0.32/0.55 % SZS output start Proof % 0.32/0.55 ( % 0.32/0.55 (declare-sort tptp.a 0) % 0.32/0.55 (define @t1 () (@var "Xx" tptp.a)) % 0.32/0.55 (define @t2 () (@var "Y" (-> tptp.a Bool))) % 0.32/0.55 (define @t3 () (_ @t2 @t1)) % 0.32/0.55 (define @t4 () (not @t3)) % 0.32/0.55 (define @t5 () (@var "X" (-> tptp.a Bool))) % 0.32/0.55 (define @t6 () (_ @t5 @t1)) % 0.32/0.55 (define @t7 () (not @t6)) % 0.32/0.55 (define @t8 () (and @t3 @t7)) % 0.32/0.55 (define @t9 () (and @t6 @t4)) % 0.32/0.55 (define @t10 () (or @t9 @t8)) % 0.32/0.55 (define @t11 () (= @t10 @t6)) % 0.32/0.55 (define @t12 () (@list @t1 @t5 @t2)) % 0.32/0.55 (define @t13 () (forall @t12 (= @t11 @t4))) % 0.32/0.55 (define @t14 () (not @t13)) % 0.32/0.55 (define @t15 () (_ @t5 @t1)) % 0.32/0.55 (define @t16 () (_ @t2 @t1)) % 0.32/0.55 (define @t17 () (not @t16)) % 0.32/0.55 (define @t18 () (forall @t12 (= @t17 (= @t15 (or (and @t15 @t17) (and @t16 (not @t15))))))) % 0.32/0.55 (define @t19 () (@quantifiers_skolemize @t18 0)) % 0.32/0.55 (define @t20 () (_ (@quantifiers_skolemize @t18 1) @t19)) % 0.32/0.55 (define @t21 () (not @t20)) % 0.32/0.55 (define @t22 () (_ (@quantifiers_skolemize @t18 2) @t19)) % 0.32/0.55 (define @t23 () (and @t22 @t21)) % 0.32/0.55 (define @t24 () (not @t23)) % 0.32/0.55 (define @t25 () (= @t6 @t10)) % 0.32/0.55 (define @t26 () (= @t4 @t25)) % 0.32/0.55 (define @t27 () (not @t22)) % 0.32/0.55 (define @t28 () (and @t20 @t27)) % 0.32/0.55 (define @t29 () (or @t28 @t23)) % 0.32/0.55 (define @t30 () (= @t20 @t29)) % 0.32/0.55 (define @t31 () (not @t30)) % 0.32/0.55 (define @t32 () (= @t27 @t30)) % 0.32/0.55 (define @t33 () (not @t27)) % 0.32/0.55 (define @t34 () (not @t32)) % 0.32/0.55 (define @t35 () (not @t18)) % 0.32/0.55 (define @t36 () (not @t29)) % 0.32/0.55 (define @t37 () (not @t28)) % 0.32/0.55 (define @t38 () (@list false true)) % 0.32/0.55 (define @t39 () (@list true false)) % 0.32/0.55 (assume @p1 @t14) % 0.32/0.55 (assume @p2 true) % 0.32/0.55 (step @p3 :rule cnf_and_pos :args (@t23 1)) % 0.32/0.55 (step @p4 :rule reordering :premises (@p3) :args ((or @t21 @t24))) % 0.32/0.55 (step @p5 :rule refl :args (@t15)) % 0.32/0.55 (step @p6 :rule refl :args (@t6)) % 0.32/0.55 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t6 @t15))) % 0.32/0.55 (step @p8 :rule symm :premises (@p7)) % 0.32/0.55 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.32/0.55 (step @p10 :rule cong :premises (@p9) :args (@t7)) % 0.32/0.55 (step @p11 :rule refl :args (@t16)) % 0.32/0.55 (step @p12 :rule refl :args (@t3)) % 0.32/0.55 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t3 @t16))) % 0.32/0.55 (step @p14 :rule symm :premises (@p13)) % 0.32/0.55 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.32/0.55 (step @p16 :rule nary_cong :premises (@p15 @p10) :args (@t8)) % 0.32/0.55 (step @p17 :rule cong :premises (@p15) :args (@t4)) % 0.32/0.55 (step @p18 :rule nary_cong :premises (@p9 @p17) :args (@t9)) % 0.32/0.55 (step @p19 :rule nary_cong :premises (@p18 @p16) :args (@t10)) % 0.32/0.55 (step @p20 :rule cong :premises (@p9 @p19) :args (@t25)) % 0.32/0.55 (step @p21 :rule cong :premises (@p17 @p20) :args (@t26)) % 0.32/0.55 (step @p22 :rule cong :premises (@p21) :args ((forall @t12 @t26))) % 0.32/0.55 (step @p23 :rule eq-symm :args (@t10 @t6)) % 0.32/0.55 (step @p24 :rule refl :args (@t4)) % 0.32/0.55 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t4 @t11))) % 0.32/0.55 (step @p26 :rule eq-symm :args (@t11 @t4)) % 0.32/0.55 (step @p27 :rule trans :premises (@p26 @p25)) % 0.32/0.55 (step @p28 :rule cong :premises (@p27) :args (@t13)) % 0.32/0.55 (step @p29 :rule trans :premises (@p28 @p22)) % 0.32/0.55 (step @p30 :rule cong :premises (@p29) :args (@t14)) % 0.32/0.55 (step @p31 :rule eq_resolve :premises (@p1 @p30)) % 0.32/0.55 (step @p32 :rule skolemize :premises (@p31)) % 0.32/0.55 (step @p33 :rule cnf_and_pos :args (@t23 0)) % 0.32/0.55 (step @p34 :rule reordering :premises (@p33) :args ((or @t22 @t24))) % 0.32/0.55 (step @p35 :rule refl :args (@t31)) % 0.32/0.55 (step @p36 :rule bool-double-not-elim :args (@t22)) % 0.32/0.55 (step @p37 :rule refl :args (@t32)) % 0.32/0.55 (step @p38 :rule nary_cong :premises (@p37 @p36 @p35) :args ((or @t32 @t33 @t31))) % 0.32/0.55 (step @p39 :rule cnf_equiv_neg2 :args (@t32)) % 0.32/0.55 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 0.32/0.55 (step @p41 :rule reordering :premises (@p40) :args ((or @t22 @t32 @t31))) % 0.32/0.55 (step @p42 :rule refl :args (@t34)) % 0.32/0.55 (step @p43 :rule bool-double-not-elim :args (@t18)) % 0.32/0.55 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or (not @t35) @t34))) % 0.32/0.55 (assume-push @p89 @t35) % 0.32/0.55 (step-pop @p90 :rule scope :premises (@p32)) % 0.32/0.55 (step @p46 :rule process_scope :premises (@p90) :args (@t34)) % 0.32/0.55 (step @p48 :rule implies_elim :premises (@p46)) % 0.32/0.55 (step @p49 :rule eq_resolve :premises (@p48 @p44)) % 0.32/0.55 (step @p50 :rule refl :args (@t21)) % 0.32/0.55 (step @p51 :rule refl :args (@t28)) % 0.32/0.55 (step @p52 :rule nary_cong :premises (@p51 @p50 @p36) :args ((or @t28 @t21 @t33))) % 0.32/0.55 (step @p53 :rule cnf_and_neg :args (@t28)) % 0.32/0.55 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.32/0.55 (step @p55 :rule reordering :premises (@p54) :args ((or @t22 @t28 @t21))) % 0.32/0.55 (step @p56 :rule cnf_equiv_neg2 :args (@t30)) % 0.32/0.55 (step @p57 :rule reordering :premises (@p56) :args ((or @t21 @t30 @t36))) % 0.32/0.55 (step @p58 :rule cnf_or_neg :args (@t29 0)) % 0.32/0.55 (step @p59 :rule chain_m_resolution :premises (@p58 @p57 @p55 @p41 @p49 @p31) :args ((or @t22 @t21) (@list true false true true true) (@list @t29 @t28 @t30 @t32 @t18))) % 0.32/0.55 (step @p60 :rule cnf_and_pos :args (@t28 0)) % 0.32/0.55 (step @p61 :rule reordering :premises (@p60) :args ((or @t20 @t37))) % 0.32/0.55 (step @p62 :rule cnf_equiv_neg1 :args (@t30)) % 0.32/0.55 (step @p63 :rule reordering :premises (@p62) :args ((or @t20 @t29 @t30))) % 0.32/0.55 (step @p64 :rule cnf_or_pos :args (@t29)) % 0.32/0.55 (step @p65 :rule reordering :premises (@p64) :args ((or @t28 @t23 @t36))) % 0.32/0.55 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p61 @p59 @p41 @p32 @p34) :args (@t22 (@list false true true true true true) (@list @t29 @t28 @t20 @t30 @t32 @t23))) % 0.32/0.55 (step @p67 :rule cnf_equiv_neg1 :args (@t32)) % 0.32/0.55 (step @p68 :rule reordering :premises (@p67) :args ((or @t27 @t30 @t32))) % 0.32/0.55 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p32) :args (@t30 @t38 (@list @t22 @t32))) % 0.32/0.55 (step @p70 :rule cnf_equiv_pos1 :args (@t30)) % 0.32/0.55 (step @p71 :rule reordering :premises (@p70) :args ((or @t21 @t29 @t31))) % 0.32/0.55 (step @p72 :rule cnf_and_pos :args (@t28 1)) % 0.32/0.55 (step @p73 :rule reordering :premises (@p72) :args ((or @t27 @t37))) % 0.32/0.55 (step @p74 :rule chain_m_resolution :premises (@p73 @p66) :args (@t37 (@list false) (@list @t22))) % 0.32/0.55 (step @p75 :rule chain_m_resolution :premises (@p65 @p74 @p71 @p69 @p4) :args (@t21 (@list true false false true) (@list @t28 @t29 @t30 @t23))) % 0.32/0.55 (step @p76 :rule bool-double-not-elim :args (@t20)) % 0.32/0.55 (step @p77 :rule refl :args (@t27)) % 0.32/0.55 (step @p78 :rule refl :args (@t23)) % 0.32/0.55 (step @p79 :rule nary_cong :premises (@p78 @p77 @p76) :args ((or @t23 @t27 (not @t21)))) % 0.32/0.55 (step @p80 :rule cnf_and_neg :args (@t23)) % 0.32/0.55 (step @p81 :rule eq_resolve :premises (@p80 @p79)) % 0.32/0.55 (step @p82 :rule reordering :premises (@p81) :args ((or @t27 @t20 @t23))) % 0.32/0.55 (step @p83 :rule chain_m_resolution :premises (@p82 @p66 @p75) :args (@t23 @t38 (@list @t22 @t20))) % 0.32/0.55 (step @p84 :rule cnf_equiv_pos2 :args (@t30)) % 0.32/0.55 (step @p85 :rule reordering :premises (@p84) :args ((or @t20 @t36 @t31))) % 0.32/0.55 (step @p86 :rule chain_m_resolution :premises (@p85 @p75 @p69) :args (@t36 @t39 (@list @t20 @t30))) % 0.32/0.55 (step @p87 :rule cnf_or_neg :args (@t29 1)) % 0.32/0.55 (step @p88 false :rule chain_m_resolution :premises (@p87 @p86 @p83) :args (false @t39 (@list @t29 @t23))) % 0.32/0.55 ) % 0.32/0.55 % SZS output end Proof % 0.32/0.55 % cvc5 exiting %------------------------------------------------------------------------------