%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET606^5 : 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 : n027.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 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET606^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n027.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 16:04:51 EDT 2026 % 0.18/0.34 % CPUTime : % 0.27/0.49 %----Proving TH0 % 0.39/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort tptp.a 0) % 0.39/0.56 (define @t1 () (@var "Xx" tptp.a)) % 0.39/0.56 (define @t2 () (@var "Y" (-> tptp.a Bool))) % 0.39/0.56 (define @t3 () (_ @t2 @t1)) % 0.39/0.56 (define @t4 () (not @t3)) % 0.39/0.56 (define @t5 () (@var "X" (-> tptp.a Bool))) % 0.39/0.56 (define @t6 () (_ @t5 @t1)) % 0.39/0.56 (define @t7 () (and @t6 @t4)) % 0.39/0.56 (define @t8 () (@list @t1)) % 0.39/0.56 (define @t9 () (lambda @t8 @t7)) % 0.39/0.56 (define @t10 () (and @t6 @t3)) % 0.39/0.56 (define @t11 () (not @t10)) % 0.39/0.56 (define @t12 () (and @t6 @t11)) % 0.39/0.56 (define @t13 () (lambda @t8 @t12)) % 0.39/0.56 (define @t14 () (= @t13 @t9)) % 0.39/0.56 (define @t15 () (@list @t5 @t2)) % 0.39/0.56 (define @t16 () (forall @t15 @t14)) % 0.39/0.56 (define @t17 () (not @t16)) % 0.39/0.56 (define @t18 () (_ @t2 @t1)) % 0.39/0.56 (define @t19 () (_ @t5 @t1)) % 0.39/0.56 (define @t20 () (forall @t15 (= (lambda @t8 (and @t19 (not (and @t19 @t18)))) (lambda @t8 (and @t19 (not @t18)))))) % 0.39/0.56 (define @t21 () (@quantifiers_skolemize @t20 1)) % 0.39/0.56 (define @t22 () (_ @t21 @t1)) % 0.39/0.56 (define @t23 () (@quantifiers_skolemize @t20 0)) % 0.39/0.56 (define @t24 () (_ @t23 @t1)) % 0.39/0.56 (define @t25 () (lambda @t8 (and @t24 (not (and @t24 @t22))))) % 0.39/0.56 (define @t26 () (@purify @t25)) % 0.39/0.56 (define @t27 () (lambda @t8 (and @t24 (not @t22)))) % 0.39/0.56 (define @t28 () (@purify @t27)) % 0.39/0.56 (define @t29 () (= @t28 @t26)) % 0.39/0.56 (define @t30 () (not @t29)) % 0.39/0.56 (define @t31 () (not @t20)) % 0.39/0.56 (define @t32 () (= @t25 @t27)) % 0.39/0.56 (define @t33 () (not @t32)) % 0.39/0.56 (define @t34 () (@list true)) % 0.39/0.56 (define @t35 () (@const 0 tptp.a)) % 0.39/0.56 (define @t36 () (_ @t21 @t35)) % 0.39/0.56 (define @t37 () (not @t36)) % 0.39/0.56 (define @t38 () (_ @t23 @t35)) % 0.39/0.56 (define @t39 () (and @t38 @t37)) % 0.39/0.56 (define @t40 () (and @t38 @t36)) % 0.39/0.56 (define @t41 () (not @t40)) % 0.39/0.56 (define @t42 () (and @t38 @t41)) % 0.39/0.56 (define @t43 () (= (_ @t25 @t35) @t42)) % 0.39/0.56 (define @t44 () (_ @t26 @t35)) % 0.39/0.56 (define @t45 () (= (_ @t27 @t35) @t39)) % 0.39/0.56 (define @t46 () (_ @t28 @t35)) % 0.39/0.56 (define @t47 () (= @t46 @t44)) % 0.39/0.56 (define @t48 () (not @t47)) % 0.39/0.56 (define @t49 () (or @t29 @t48)) % 0.39/0.56 (define @t50 () (= @t42 @t39)) % 0.39/0.56 (define @t51 () (not @t38)) % 0.39/0.56 (define @t52 () (not @t39)) % 0.39/0.56 (define @t53 () (not @t42)) % 0.39/0.56 (define @t54 () (@list @t38)) % 0.39/0.56 (assume @p1 @t17) % 0.39/0.56 (assume @p2 true) % 0.39/0.56 (step @p3 :rule refl :args (@t18)) % 0.39/0.56 (step @p4 :rule refl :args (@t3)) % 0.39/0.56 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t3 @t18))) % 0.39/0.56 (step @p6 :rule symm :premises (@p5)) % 0.39/0.56 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.39/0.56 (step @p8 :rule cong :premises (@p7) :args (@t4)) % 0.39/0.56 (step @p9 :rule refl :args (@t19)) % 0.39/0.56 (step @p10 :rule refl :args (@t6)) % 0.39/0.56 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t6 @t19))) % 0.39/0.56 (step @p12 :rule symm :premises (@p11)) % 0.39/0.56 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.39/0.56 (step @p14 :rule nary_cong :premises (@p13 @p8) :args (@t7)) % 0.39/0.56 (step @p15 :rule cong :premises (@p14) :args (@t9)) % 0.39/0.56 (step @p16 :rule nary_cong :premises (@p13 @p7) :args (@t10)) % 0.39/0.56 (step @p17 :rule cong :premises (@p16) :args (@t11)) % 0.39/0.56 (step @p18 :rule nary_cong :premises (@p13 @p17) :args (@t12)) % 0.39/0.56 (step @p19 :rule cong :premises (@p18) :args (@t13)) % 0.39/0.56 (step @p20 :rule cong :premises (@p19 @p15) :args (@t14)) % 0.39/0.56 (step @p21 :rule cong :premises (@p20) :args (@t16)) % 0.39/0.56 (step @p22 :rule cong :premises (@p21) :args (@t17)) % 0.39/0.56 (step @p23 :rule eq_resolve :premises (@p1 @p22)) % 0.39/0.56 (step @p24 :rule refl :args (@t30)) % 0.39/0.56 (step @p25 :rule bool-double-not-elim :args (@t20)) % 0.39/0.56 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or (not @t31) @t30))) % 0.39/0.56 (step @p27 :rule eq-symm :args (@t26 @t28)) % 0.39/0.56 (step @p28 :rule eq-refl :args (@t27)) % 0.39/0.56 (step @p29 :rule skolem_intro :args (@t28)) % 0.39/0.56 (step @p30 :rule refl :args (@t27)) % 0.39/0.56 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t27 @t28))) % 0.39/0.56 (step @p32 :rule trans :premises (@p31 @p28)) % 0.39/0.56 (step @p33 :rule true_elim :premises (@p32)) % 0.39/0.56 (step @p34 :rule eq-refl :args (@t25)) % 0.39/0.56 (step @p35 :rule skolem_intro :args (@t26)) % 0.39/0.56 (step @p36 :rule refl :args (@t25)) % 0.39/0.56 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t25 @t26))) % 0.39/0.56 (step @p38 :rule trans :premises (@p37 @p34)) % 0.39/0.56 (step @p39 :rule true_elim :premises (@p38)) % 0.39/0.56 (step @p40 :rule cong :premises (@p39 @p33) :args (@t32)) % 0.39/0.56 (step @p41 :rule trans :premises (@p40 @p27)) % 0.39/0.56 (step @p42 :rule cong :premises (@p41) :args (@t33)) % 0.39/0.56 (step @p43 :rule refl :args (@t31)) % 0.39/0.56 (step @p44 :rule cong :premises (@p43 @p42) :args ((=> @t31 @t33))) % 0.39/0.56 (assume-push @p112 @t31) % 0.39/0.56 (step @p46 :rule skolemize :premises (@p23)) % 0.39/0.56 (step-pop @p113 :rule scope :premises (@p46)) % 0.39/0.56 (step @p47 :rule process_scope :premises (@p113) :args (@t33)) % 0.39/0.56 (step @p49 :rule eq_resolve :premises (@p47 @p44)) % 0.39/0.56 (step @p50 :rule implies_elim :premises (@p49)) % 0.39/0.56 (step @p51 :rule eq_resolve :premises (@p50 @p26)) % 0.39/0.56 (step @p52 :rule chain_m_resolution :premises (@p51 @p23) :args (@t30 @t34 (@list @t20))) % 0.39/0.56 (step @p53 :rule eq-symm :args (@t39 @t42)) % 0.39/0.56 (step @p54 :rule eq-refl :args (@t42)) % 0.39/0.56 (step @p55 :rule refl :args (@t42)) % 0.39/0.56 (step @p56 :rule beta-reduce :args (@t43)) % 0.39/0.56 (step @p57 :rule cong :premises (@p56 @p55) :args (@t43)) % 0.39/0.56 (step @p58 :rule trans :premises (@p57 @p54)) % 0.39/0.56 (step @p59 :rule refl :args (@t35)) % 0.39/0.56 (step @p60 :rule ho_cong :premises (@p35 @p59)) % 0.39/0.56 (step @p61 :rule cong :premises (@p60 @p55) :args ((= @t44 @t42))) % 0.39/0.56 (step @p62 :rule trans :premises (@p61 @p58)) % 0.39/0.56 (step @p63 :rule true_elim :premises (@p62)) % 0.39/0.56 (step @p64 :rule eq-refl :args (@t39)) % 0.39/0.56 (step @p65 :rule refl :args (@t39)) % 0.39/0.56 (step @p66 :rule beta-reduce :args (@t45)) % 0.39/0.56 (step @p67 :rule cong :premises (@p66 @p65) :args (@t45)) % 0.39/0.56 (step @p68 :rule trans :premises (@p67 @p64)) % 0.39/0.56 (step @p69 :rule ho_cong :premises (@p29 @p59)) % 0.39/0.56 (step @p70 :rule cong :premises (@p69 @p65) :args ((= @t46 @t39))) % 0.39/0.56 (step @p71 :rule trans :premises (@p70 @p68)) % 0.39/0.56 (step @p72 :rule true_elim :premises (@p71)) % 0.39/0.56 (step @p73 :rule cong :premises (@p72 @p63) :args (@t47)) % 0.39/0.56 (step @p74 :rule trans :premises (@p73 @p53)) % 0.39/0.56 (step @p75 :rule cong :premises (@p74) :args (@t48)) % 0.39/0.56 (step @p76 :rule refl :args (@t29)) % 0.39/0.56 (step @p77 :rule nary_cong :premises (@p76 @p75) :args (@t49)) % 0.39/0.56 ; WARNING: add trust step for TRUST % 0.39/0.56 ; trust TRUST THEORY_LEMMA % 0.39/0.56 (step @p78 :rule trust :premises () :args (@t49)) % 0.39/0.56 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 0.39/0.56 (step @p80 :rule chain_m_resolution :premises (@p79 @p52) :args ((not @t50) @t34 (@list @t29))) % 0.39/0.56 (step @p81 :rule cnf_and_pos :args (@t40 1)) % 0.39/0.56 (step @p82 :rule reordering :premises (@p81) :args ((or @t36 @t41))) % 0.39/0.56 (step @p83 :rule bool-double-not-elim :args (@t36)) % 0.39/0.56 (step @p84 :rule refl :args (@t51)) % 0.39/0.56 (step @p85 :rule nary_cong :premises (@p65 @p84 @p83) :args ((or @t39 @t51 (not @t37)))) % 0.39/0.56 (step @p86 :rule cnf_and_neg :args (@t39)) % 0.39/0.56 (step @p87 :rule eq_resolve :premises (@p86 @p85)) % 0.39/0.56 (step @p88 :rule reordering :premises (@p87) :args ((or @t36 @t39 @t51))) % 0.39/0.56 (step @p89 :rule bool-double-not-elim :args (@t40)) % 0.39/0.56 (step @p90 :rule nary_cong :premises (@p55 @p84 @p89) :args ((or @t42 @t51 (not @t41)))) % 0.39/0.56 (step @p91 :rule cnf_and_neg :args (@t42)) % 0.39/0.56 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 0.39/0.56 (step @p93 :rule reordering :premises (@p92) :args ((or @t40 @t42 @t51))) % 0.39/0.56 (step @p94 :rule cnf_equiv_neg2 :args (@t50)) % 0.39/0.56 (step @p95 :rule chain_m_resolution :premises (@p94 @p80 @p93 @p88 @p82) :args ((or @t36 @t51) (@list true false false true) (@list @t50 @t42 @t39 @t40))) % 0.39/0.56 (step @p96 :rule cnf_and_neg :args (@t40)) % 0.39/0.56 (step @p97 :rule reordering :premises (@p96) :args ((or @t40 @t37 @t51))) % 0.39/0.56 (step @p98 :rule cnf_and_pos :args (@t39 1)) % 0.39/0.56 (step @p99 :rule reordering :premises (@p98) :args ((or @t37 @t52))) % 0.39/0.56 (step @p100 :rule cnf_and_pos :args (@t42 1)) % 0.39/0.56 (step @p101 :rule reordering :premises (@p100) :args ((or @t41 @t53))) % 0.39/0.56 (step @p102 :rule cnf_equiv_neg1 :args (@t50)) % 0.39/0.56 (step @p103 :rule reordering :premises (@p102) :args ((or @t42 @t39 @t50))) % 0.39/0.56 (step @p104 :rule chain_m_resolution :premises (@p103 @p80 @p101 @p99 @p97 @p95) :args (@t51 (@list true true true false false) (@list @t50 @t42 @t39 @t40 @t36))) % 0.39/0.56 (step @p105 :rule cnf_and_pos :args (@t42 0)) % 0.39/0.56 (step @p106 :rule reordering :premises (@p105) :args ((or @t38 @t53))) % 0.39/0.56 (step @p107 :rule chain_m_resolution :premises (@p106 @p104) :args (@t53 @t34 @t54)) % 0.39/0.56 (step @p108 :rule cnf_and_pos :args (@t39 0)) % 0.39/0.56 (step @p109 :rule reordering :premises (@p108) :args ((or @t38 @t52))) % 0.39/0.56 (step @p110 :rule chain_m_resolution :premises (@p109 @p104) :args (@t52 @t34 @t54)) % 0.39/0.56 (step @p111 false :rule chain_m_resolution :premises (@p103 @p110 @p107 @p80) :args (false (@list true true true) (@list @t39 @t42 @t50))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------