%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET607^5 : 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 : n011.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 08:48:12 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 : SET607^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n011.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 16:04:20 EDT 2026 % 0.18/0.35 % 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 "Xz" tptp.a)) % 0.38/0.56 (define @t2 () (@var "Y" (-> tptp.a Bool))) % 0.38/0.56 (define @t3 () (_ @t2 @t1)) % 0.38/0.56 (define @t4 () (@var "X" (-> tptp.a Bool))) % 0.38/0.56 (define @t5 () (_ @t4 @t1)) % 0.38/0.56 (define @t6 () (or @t5 @t3)) % 0.38/0.56 (define @t7 () (@list @t1)) % 0.38/0.56 (define @t8 () (lambda @t7 @t6)) % 0.38/0.56 (define @t9 () (not @t5)) % 0.38/0.56 (define @t10 () (and @t3 @t9)) % 0.38/0.56 (define @t11 () (or @t5 @t10)) % 0.38/0.56 (define @t12 () (lambda @t7 @t11)) % 0.38/0.56 (define @t13 () (= @t12 @t8)) % 0.38/0.56 (define @t14 () (@list @t4 @t2)) % 0.38/0.56 (define @t15 () (forall @t14 @t13)) % 0.38/0.56 (define @t16 () (not @t15)) % 0.38/0.56 (define @t17 () (_ @t2 @t1)) % 0.38/0.56 (define @t18 () (_ @t4 @t1)) % 0.38/0.56 (define @t19 () (forall @t14 (= (lambda @t7 (or @t18 (and @t17 (not @t18)))) (lambda @t7 (or @t18 @t17))))) % 0.38/0.56 (define @t20 () (@quantifiers_skolemize @t19 0)) % 0.38/0.56 (define @t21 () (_ @t20 @t1)) % 0.38/0.56 (define @t22 () (@quantifiers_skolemize @t19 1)) % 0.38/0.56 (define @t23 () (_ @t22 @t1)) % 0.38/0.56 (define @t24 () (lambda @t7 (or @t21 (and @t23 (not @t21))))) % 0.38/0.56 (define @t25 () (@purify @t24)) % 0.38/0.56 (define @t26 () (lambda @t7 (or @t21 @t23))) % 0.38/0.56 (define @t27 () (@purify @t26)) % 0.38/0.56 (define @t28 () (= @t27 @t25)) % 0.38/0.56 (define @t29 () (not @t28)) % 0.38/0.56 (define @t30 () (not @t19)) % 0.38/0.56 (define @t31 () (= @t24 @t26)) % 0.38/0.56 (define @t32 () (not @t31)) % 0.38/0.56 (define @t33 () (@list true)) % 0.38/0.56 (define @t34 () (@const 0 tptp.a)) % 0.38/0.56 (define @t35 () (_ @t22 @t34)) % 0.38/0.56 (define @t36 () (_ @t20 @t34)) % 0.38/0.56 (define @t37 () (or @t36 @t35)) % 0.38/0.56 (define @t38 () (not @t36)) % 0.38/0.56 (define @t39 () (and @t35 @t38)) % 0.38/0.56 (define @t40 () (or @t36 @t39)) % 0.38/0.56 (define @t41 () (= (_ @t24 @t34) @t40)) % 0.38/0.56 (define @t42 () (_ @t25 @t34)) % 0.38/0.56 (define @t43 () (= (_ @t26 @t34) @t37)) % 0.38/0.56 (define @t44 () (_ @t27 @t34)) % 0.38/0.56 (define @t45 () (= @t44 @t42)) % 0.38/0.56 (define @t46 () (not @t45)) % 0.38/0.56 (define @t47 () (or @t28 @t46)) % 0.38/0.56 (define @t48 () (= @t40 @t37)) % 0.38/0.56 (define @t49 () (not @t35)) % 0.38/0.56 (define @t50 () (not @t37)) % 0.38/0.56 (define @t51 () (@list true true)) % 0.38/0.56 (define @t52 () (not @t39)) % 0.38/0.56 (define @t53 () (not @t40)) % 0.38/0.56 (assume @p1 @t16) % 0.38/0.56 (assume @p2 true) % 0.38/0.56 (step @p3 :rule refl :args (@t17)) % 0.38/0.56 (step @p4 :rule refl :args (@t3)) % 0.38/0.56 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t3 @t17))) % 0.38/0.56 (step @p6 :rule symm :premises (@p5)) % 0.38/0.56 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.38/0.56 (step @p8 :rule refl :args (@t18)) % 0.38/0.56 (step @p9 :rule refl :args (@t5)) % 0.38/0.56 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t5 @t18))) % 0.38/0.56 (step @p11 :rule symm :premises (@p10)) % 0.38/0.56 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.38/0.56 (step @p13 :rule nary_cong :premises (@p12 @p7) :args (@t6)) % 0.38/0.56 (step @p14 :rule cong :premises (@p13) :args (@t8)) % 0.38/0.56 (step @p15 :rule cong :premises (@p12) :args (@t9)) % 0.38/0.56 (step @p16 :rule nary_cong :premises (@p7 @p15) :args (@t10)) % 0.38/0.56 (step @p17 :rule nary_cong :premises (@p12 @p16) :args (@t11)) % 0.38/0.56 (step @p18 :rule cong :premises (@p17) :args (@t12)) % 0.38/0.56 (step @p19 :rule cong :premises (@p18 @p14) :args (@t13)) % 0.38/0.56 (step @p20 :rule cong :premises (@p19) :args (@t15)) % 0.38/0.56 (step @p21 :rule cong :premises (@p20) :args (@t16)) % 0.38/0.56 (step @p22 :rule eq_resolve :premises (@p1 @p21)) % 0.38/0.56 (step @p23 :rule refl :args (@t29)) % 0.38/0.56 (step @p24 :rule bool-double-not-elim :args (@t19)) % 0.38/0.56 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or (not @t30) @t29))) % 0.38/0.56 (step @p26 :rule eq-symm :args (@t25 @t27)) % 0.38/0.56 (step @p27 :rule eq-refl :args (@t26)) % 0.38/0.56 (step @p28 :rule skolem_intro :args (@t27)) % 0.38/0.56 (step @p29 :rule refl :args (@t26)) % 0.38/0.56 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t26 @t27))) % 0.38/0.56 (step @p31 :rule trans :premises (@p30 @p27)) % 0.38/0.56 (step @p32 :rule true_elim :premises (@p31)) % 0.38/0.56 (step @p33 :rule eq-refl :args (@t24)) % 0.38/0.56 (step @p34 :rule skolem_intro :args (@t25)) % 0.38/0.56 (step @p35 :rule refl :args (@t24)) % 0.38/0.56 (step @p36 :rule cong :premises (@p35 @p34) :args ((= @t24 @t25))) % 0.38/0.56 (step @p37 :rule trans :premises (@p36 @p33)) % 0.38/0.56 (step @p38 :rule true_elim :premises (@p37)) % 0.38/0.56 (step @p39 :rule cong :premises (@p38 @p32) :args (@t31)) % 0.38/0.56 (step @p40 :rule trans :premises (@p39 @p26)) % 0.38/0.56 (step @p41 :rule cong :premises (@p40) :args (@t32)) % 0.38/0.56 (step @p42 :rule refl :args (@t30)) % 0.38/0.56 (step @p43 :rule cong :premises (@p42 @p41) :args ((=> @t30 @t32))) % 0.38/0.56 (assume-push @p108 @t30) % 0.38/0.56 (step @p45 :rule skolemize :premises (@p22)) % 0.38/0.56 (step-pop @p109 :rule scope :premises (@p45)) % 0.38/0.56 (step @p46 :rule process_scope :premises (@p109) :args (@t32)) % 0.38/0.56 (step @p48 :rule eq_resolve :premises (@p46 @p43)) % 0.38/0.56 (step @p49 :rule implies_elim :premises (@p48)) % 0.38/0.56 (step @p50 :rule eq_resolve :premises (@p49 @p25)) % 0.38/0.56 (step @p51 :rule chain_m_resolution :premises (@p50 @p22) :args (@t29 @t33 (@list @t19))) % 0.38/0.56 (step @p52 :rule eq-symm :args (@t37 @t40)) % 0.38/0.56 (step @p53 :rule eq-refl :args (@t40)) % 0.38/0.56 (step @p54 :rule refl :args (@t40)) % 0.38/0.56 (step @p55 :rule beta-reduce :args (@t41)) % 0.38/0.56 (step @p56 :rule cong :premises (@p55 @p54) :args (@t41)) % 0.38/0.56 (step @p57 :rule trans :premises (@p56 @p53)) % 0.38/0.56 (step @p58 :rule refl :args (@t34)) % 0.38/0.56 (step @p59 :rule ho_cong :premises (@p34 @p58)) % 0.38/0.56 (step @p60 :rule cong :premises (@p59 @p54) :args ((= @t42 @t40))) % 0.38/0.56 (step @p61 :rule trans :premises (@p60 @p57)) % 0.38/0.56 (step @p62 :rule true_elim :premises (@p61)) % 0.38/0.56 (step @p63 :rule eq-refl :args (@t37)) % 0.38/0.56 (step @p64 :rule refl :args (@t37)) % 0.38/0.56 (step @p65 :rule beta-reduce :args (@t43)) % 0.38/0.56 (step @p66 :rule cong :premises (@p65 @p64) :args (@t43)) % 0.38/0.56 (step @p67 :rule trans :premises (@p66 @p63)) % 0.38/0.56 (step @p68 :rule ho_cong :premises (@p28 @p58)) % 0.38/0.56 (step @p69 :rule cong :premises (@p68 @p64) :args ((= @t44 @t37))) % 0.38/0.56 (step @p70 :rule trans :premises (@p69 @p67)) % 0.38/0.56 (step @p71 :rule true_elim :premises (@p70)) % 0.38/0.56 (step @p72 :rule cong :premises (@p71 @p62) :args (@t45)) % 0.38/0.56 (step @p73 :rule trans :premises (@p72 @p52)) % 0.38/0.56 (step @p74 :rule cong :premises (@p73) :args (@t46)) % 0.38/0.56 (step @p75 :rule refl :args (@t28)) % 0.38/0.56 (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t47)) % 0.38/0.56 ; WARNING: add trust step for TRUST % 0.38/0.56 ; trust TRUST THEORY_LEMMA % 0.38/0.56 (step @p77 :rule trust :premises () :args (@t47)) % 0.38/0.56 (step @p78 :rule eq_resolve :premises (@p77 @p76)) % 0.38/0.56 (step @p79 :rule chain_m_resolution :premises (@p78 @p51) :args ((not @t48) @t33 (@list @t28))) % 0.38/0.56 (step @p80 :rule cnf_or_neg :args (@t40 0)) % 0.38/0.56 (step @p81 :rule reordering :premises (@p80) :args ((or @t38 @t40))) % 0.38/0.56 (step @p82 :rule cnf_or_neg :args (@t37 0)) % 0.38/0.56 (step @p83 :rule reordering :premises (@p82) :args ((or @t38 @t37))) % 0.38/0.56 (step @p84 :rule cnf_equiv_neg2 :args (@t48)) % 0.38/0.56 (step @p85 :rule chain_m_resolution :premises (@p84 @p79 @p83 @p81) :args (@t38 (@list true false false) (@list @t48 @t37 @t40))) % 0.38/0.56 (step @p86 :rule bool-double-not-elim :args (@t36)) % 0.38/0.56 (step @p87 :rule refl :args (@t49)) % 0.38/0.56 (step @p88 :rule refl :args (@t39)) % 0.38/0.56 (step @p89 :rule nary_cong :premises (@p88 @p87 @p86) :args ((or @t39 @t49 (not @t38)))) % 0.38/0.56 (step @p90 :rule cnf_and_neg :args (@t39)) % 0.38/0.56 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 0.38/0.56 (step @p92 :rule reordering :premises (@p91) :args ((or @t36 @t39 @t49))) % 0.38/0.56 (step @p93 :rule cnf_or_neg :args (@t37 1)) % 0.38/0.56 (step @p94 :rule cnf_or_neg :args (@t40 1)) % 0.38/0.56 (step @p95 :rule chain_m_resolution :premises (@p84 @p79 @p94 @p93 @p92 @p85) :args (@t49 (@list true false false false true) (@list @t48 @t40 @t37 @t39 @t36))) % 0.38/0.56 (step @p96 :rule cnf_or_pos :args (@t37)) % 0.38/0.56 (step @p97 :rule reordering :premises (@p96) :args ((or @t36 @t35 @t50))) % 0.38/0.56 (step @p98 :rule chain_m_resolution :premises (@p97 @p85 @p95) :args (@t50 @t51 (@list @t36 @t35))) % 0.38/0.56 (step @p99 :rule cnf_and_pos :args (@t39 0)) % 0.38/0.56 (step @p100 :rule reordering :premises (@p99) :args ((or @t35 @t52))) % 0.38/0.56 (step @p101 :rule chain_m_resolution :premises (@p100 @p95) :args (@t52 @t33 (@list @t35))) % 0.38/0.56 (step @p102 :rule cnf_or_pos :args (@t40)) % 0.38/0.56 (step @p103 :rule reordering :premises (@p102) :args ((or @t36 @t39 @t53))) % 0.38/0.56 (step @p104 :rule chain_m_resolution :premises (@p103 @p85 @p101) :args (@t53 @t51 (@list @t36 @t39))) % 0.38/0.56 (step @p105 :rule cnf_equiv_neg1 :args (@t48)) % 0.38/0.56 (step @p106 :rule reordering :premises (@p105) :args ((or @t40 @t37 @t48))) % 0.38/0.56 (step @p107 false :rule chain_m_resolution :premises (@p106 @p104 @p98 @p79) :args (false (@list true true true) (@list @t40 @t37 @t48))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------