%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU851^5 : 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 : n002.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 08:53:25 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 : SEU851^5 : 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 % 0.17/0.34 % Computer : n002.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 17:55:48 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----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 "Xz" tptp.a)) % 0.39/0.56 (define @t2 () (@var "T" (-> 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 "S" (-> 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 () (not @t6)) % 0.39/0.56 (define @t9 () (and @t3 @t8)) % 0.39/0.56 (define @t10 () (or @t9 @t7)) % 0.39/0.56 (define @t11 () (@list @t1)) % 0.39/0.56 (define @t12 () (lambda @t11 @t10)) % 0.39/0.56 (define @t13 () (or @t7 @t9)) % 0.39/0.56 (define @t14 () (lambda @t11 @t13)) % 0.39/0.56 (define @t15 () (= @t14 @t12)) % 0.39/0.56 (define @t16 () (@list @t5 @t2)) % 0.39/0.56 (define @t17 () (forall @t16 @t15)) % 0.39/0.56 (define @t18 () (not @t17)) % 0.39/0.56 (define @t19 () (_ @t2 @t1)) % 0.39/0.56 (define @t20 () (_ @t5 @t1)) % 0.39/0.56 (define @t21 () (and @t20 (not @t19))) % 0.39/0.56 (define @t22 () (and @t19 (not @t20))) % 0.39/0.56 (define @t23 () (forall @t16 (= (lambda @t11 (or @t21 @t22)) (lambda @t11 (or @t22 @t21))))) % 0.39/0.56 (define @t24 () (@quantifiers_skolemize @t23 0)) % 0.39/0.56 (define @t25 () (_ @t24 @t1)) % 0.39/0.56 (define @t26 () (@quantifiers_skolemize @t23 1)) % 0.39/0.56 (define @t27 () (_ @t26 @t1)) % 0.39/0.56 (define @t28 () (and @t27 (not @t25))) % 0.39/0.56 (define @t29 () (and @t25 (not @t27))) % 0.39/0.56 (define @t30 () (lambda @t11 (or @t29 @t28))) % 0.39/0.56 (define @t31 () (@purify @t30)) % 0.39/0.56 (define @t32 () (lambda @t11 (or @t28 @t29))) % 0.39/0.56 (define @t33 () (@purify @t32)) % 0.39/0.56 (define @t34 () (= @t33 @t31)) % 0.39/0.56 (define @t35 () (not @t34)) % 0.39/0.56 (define @t36 () (not @t23)) % 0.39/0.56 (define @t37 () (= @t30 @t32)) % 0.39/0.56 (define @t38 () (not @t37)) % 0.39/0.56 (define @t39 () (@list true)) % 0.39/0.56 (define @t40 () (@const 0 tptp.a)) % 0.39/0.56 (define @t41 () (_ @t26 @t40)) % 0.39/0.56 (define @t42 () (_ @t24 @t40)) % 0.39/0.56 (define @t43 () (and @t42 (not @t41))) % 0.39/0.56 (define @t44 () (and @t41 (not @t42))) % 0.39/0.56 (define @t45 () (or @t44 @t43)) % 0.39/0.56 (define @t46 () (or @t43 @t44)) % 0.39/0.56 (define @t47 () (= @t46 @t45)) % 0.39/0.56 (define @t48 () (= (_ @t30 @t40) @t46)) % 0.39/0.56 (define @t49 () (_ @t31 @t40)) % 0.39/0.56 (define @t50 () (= (_ @t32 @t40) @t45)) % 0.39/0.56 (define @t51 () (_ @t33 @t40)) % 0.39/0.56 (define @t52 () (= @t51 @t49)) % 0.39/0.56 (define @t53 () (not @t52)) % 0.39/0.56 (define @t54 () (or @t34 @t53)) % 0.39/0.56 (define @t55 () (@list false)) % 0.39/0.56 (define @t56 () (@list @t44)) % 0.39/0.56 (assume @p1 @t18) % 0.39/0.56 (assume @p2 true) % 0.39/0.56 (step @p3 :rule refl :args (@t19)) % 0.39/0.56 (step @p4 :rule refl :args (@t3)) % 0.39/0.56 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t3 @t19))) % 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 (@t20)) % 0.39/0.56 (step @p10 :rule refl :args (@t6)) % 0.39/0.56 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t6 @t20))) % 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 (@p13) :args (@t8)) % 0.39/0.56 (step @p16 :rule nary_cong :premises (@p7 @p15) :args (@t9)) % 0.39/0.56 (step @p17 :rule nary_cong :premises (@p16 @p14) :args (@t10)) % 0.39/0.56 (step @p18 :rule cong :premises (@p17) :args (@t12)) % 0.39/0.56 (step @p19 :rule nary_cong :premises (@p14 @p16) :args (@t13)) % 0.39/0.56 (step @p20 :rule cong :premises (@p19) :args (@t14)) % 0.39/0.56 (step @p21 :rule cong :premises (@p20 @p18) :args (@t15)) % 0.39/0.56 (step @p22 :rule cong :premises (@p21) :args (@t17)) % 0.39/0.56 (step @p23 :rule cong :premises (@p22) :args (@t18)) % 0.39/0.56 (step @p24 :rule eq_resolve :premises (@p1 @p23)) % 0.39/0.56 (step @p25 :rule refl :args (@t35)) % 0.39/0.56 (step @p26 :rule bool-double-not-elim :args (@t23)) % 0.39/0.56 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((or (not @t36) @t35))) % 0.39/0.56 (step @p28 :rule eq-symm :args (@t31 @t33)) % 0.39/0.56 (step @p29 :rule eq-refl :args (@t32)) % 0.39/0.56 (step @p30 :rule skolem_intro :args (@t33)) % 0.39/0.56 (step @p31 :rule refl :args (@t32)) % 0.39/0.56 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t32 @t33))) % 0.39/0.56 (step @p33 :rule trans :premises (@p32 @p29)) % 0.39/0.56 (step @p34 :rule true_elim :premises (@p33)) % 0.39/0.56 (step @p35 :rule eq-refl :args (@t30)) % 0.39/0.56 (step @p36 :rule skolem_intro :args (@t31)) % 0.39/0.56 (step @p37 :rule refl :args (@t30)) % 0.39/0.56 (step @p38 :rule cong :premises (@p37 @p36) :args ((= @t30 @t31))) % 0.39/0.56 (step @p39 :rule trans :premises (@p38 @p35)) % 0.39/0.56 (step @p40 :rule true_elim :premises (@p39)) % 0.39/0.56 (step @p41 :rule cong :premises (@p40 @p34) :args (@t37)) % 0.39/0.56 (step @p42 :rule trans :premises (@p41 @p28)) % 0.39/0.56 (step @p43 :rule cong :premises (@p42) :args (@t38)) % 0.39/0.56 (step @p44 :rule refl :args (@t36)) % 0.39/0.56 (step @p45 :rule cong :premises (@p44 @p43) :args ((=> @t36 @t38))) % 0.39/0.56 (assume-push @p100 @t36) % 0.39/0.56 (step @p47 :rule skolemize :premises (@p24)) % 0.39/0.56 (step-pop @p101 :rule scope :premises (@p47)) % 0.39/0.56 (step @p48 :rule process_scope :premises (@p101) :args (@t38)) % 0.39/0.56 (step @p50 :rule eq_resolve :premises (@p48 @p45)) % 0.39/0.56 (step @p51 :rule implies_elim :premises (@p50)) % 0.39/0.56 (step @p52 :rule eq_resolve :premises (@p51 @p27)) % 0.39/0.56 (step @p53 :rule chain_m_resolution :premises (@p52 @p24) :args (@t35 @t39 (@list @t23))) % 0.39/0.56 (step @p54 :rule aci_norm :args (@t47)) % 0.39/0.56 (step @p55 :rule symm :premises (@p54)) % 0.39/0.56 (step @p56 :rule cong :premises (@p55 @p54) :args ((= @t45 @t46))) % 0.39/0.56 (step @p57 :rule eq-refl :args (@t46)) % 0.39/0.56 (step @p58 :rule refl :args (@t46)) % 0.39/0.56 (step @p59 :rule beta-reduce :args (@t48)) % 0.39/0.56 (step @p60 :rule cong :premises (@p59 @p58) :args (@t48)) % 0.39/0.56 (step @p61 :rule trans :premises (@p60 @p57)) % 0.39/0.56 (step @p62 :rule refl :args (@t40)) % 0.39/0.56 (step @p63 :rule ho_cong :premises (@p36 @p62)) % 0.39/0.56 (step @p64 :rule cong :premises (@p63 @p58) :args ((= @t49 @t46))) % 0.39/0.56 (step @p65 :rule trans :premises (@p64 @p61)) % 0.39/0.56 (step @p66 :rule true_elim :premises (@p65)) % 0.39/0.56 (step @p67 :rule eq-refl :args (@t45)) % 0.39/0.56 (step @p68 :rule refl :args (@t45)) % 0.39/0.56 (step @p69 :rule beta-reduce :args (@t50)) % 0.39/0.56 (step @p70 :rule cong :premises (@p69 @p68) :args (@t50)) % 0.39/0.56 (step @p71 :rule trans :premises (@p70 @p67)) % 0.39/0.56 (step @p72 :rule ho_cong :premises (@p30 @p62)) % 0.39/0.56 (step @p73 :rule cong :premises (@p72 @p68) :args ((= @t51 @t45))) % 0.39/0.56 (step @p74 :rule trans :premises (@p73 @p71)) % 0.39/0.56 (step @p75 :rule true_elim :premises (@p74)) % 0.39/0.56 (step @p76 :rule cong :premises (@p75 @p66) :args (@t52)) % 0.39/0.56 (step @p77 :rule trans :premises (@p76 @p56)) % 0.39/0.56 (step @p78 :rule cong :premises (@p77) :args (@t53)) % 0.39/0.56 (step @p79 :rule refl :args (@t34)) % 0.39/0.56 (step @p80 :rule nary_cong :premises (@p79 @p78) :args (@t54)) % 0.39/0.56 ; WARNING: add trust step for TRUST % 0.39/0.56 ; trust TRUST THEORY_LEMMA % 0.39/0.56 (step @p81 :rule trust :premises () :args (@t54)) % 0.39/0.56 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.39/0.56 (step @p83 :rule chain_m_resolution :premises (@p82 @p53) :args ((not @t47) @t39 (@list @t34))) % 0.39/0.56 (step @p84 :rule cnf_or_neg :args (@t46 0)) % 0.39/0.56 (step @p85 :rule cnf_or_neg :args (@t45 1)) % 0.39/0.56 (step @p86 :rule cnf_equiv_neg2 :args (@t47)) % 0.39/0.56 (step @p87 :rule chain_m_resolution :premises (@p86 @p83 @p85 @p84) :args ((not @t43) (@list true false false) (@list @t47 @t45 @t46))) % 0.39/0.56 (step @p88 :rule cnf_or_pos :args (@t46)) % 0.39/0.56 (step @p89 :rule reordering :premises (@p88) :args ((or @t43 @t44 (not @t46)))) % 0.39/0.56 (step @p90 :rule cnf_or_pos :args (@t45)) % 0.39/0.56 (step @p91 :rule reordering :premises (@p90) :args ((or @t43 @t44 (not @t45)))) % 0.39/0.56 (step @p92 :rule cnf_equiv_neg1 :args (@t47)) % 0.39/0.56 (step @p93 :rule reordering :premises (@p92) :args ((or @t46 @t45 @t47))) % 0.39/0.56 (step @p94 :rule chain_m_resolution :premises (@p93 @p83 @p91 @p87 @p89 @p87) :args (@t44 (@list true true true true true) (@list @t47 @t45 @t43 @t46 @t43))) % 0.39/0.56 (step @p95 :rule cnf_or_neg :args (@t46 1)) % 0.39/0.56 (step @p96 :rule chain_m_resolution :premises (@p95 @p94) :args (@t46 @t55 @t56)) % 0.39/0.56 (step @p97 :rule cnf_or_neg :args (@t45 0)) % 0.39/0.56 (step @p98 :rule chain_m_resolution :premises (@p97 @p94) :args (@t45 @t55 @t56)) % 0.39/0.56 (step @p99 false :rule chain_m_resolution :premises (@p86 @p98 @p96 @p83) :args (false (@list false false true) (@list @t45 @t46 @t47))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------