%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM648^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:40:11 AM UTC 2026 % Result : Theorem 0.28s 0.54s % Output : Proof 0.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM648^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n019.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 11:43:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.48 %----Proving TH0 % 0.28/0.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.28/0.54 % SZS status Theorem % 0.28/0.54 % SZS output start Proof % 0.28/0.54 ( % 0.28/0.54 (declare-sort tptp.nat 0) % 0.28/0.54 (declare-const tptp.x tptp.nat) % 0.28/0.54 (declare-const tptp.y tptp.nat) % 0.28/0.54 (declare-const tptp.pl (-> tptp.nat tptp.nat tptp.nat)) % 0.28/0.54 (define @t1 () (@var "Xz" tptp.nat)) % 0.28/0.54 (define @t2 () (@var "Xy" tptp.nat)) % 0.28/0.54 (define @t3 () (= @t2 @t1)) % 0.28/0.54 (define @t4 () (@var "Xx" tptp.nat)) % 0.28/0.54 (define @t5 () (_ tptp.pl @t4)) % 0.28/0.54 (define @t6 () (_ @t5 @t1)) % 0.28/0.54 (define @t7 () (_ @t5 @t2)) % 0.28/0.54 (define @t8 () (= @t7 @t6)) % 0.28/0.54 (define @t9 () (@list @t4 @t2 @t1)) % 0.28/0.54 (define @t10 () (forall @t9 (=> @t8 @t3))) % 0.28/0.54 (define @t11 () (@var "Xy_0" tptp.nat)) % 0.28/0.54 (define @t12 () (@var "Xx_0" tptp.nat)) % 0.28/0.54 (define @t13 () (= @t12 @t11)) % 0.28/0.54 (define @t14 () (_ tptp.pl tptp.y)) % 0.28/0.54 (define @t15 () (_ @t14 @t11)) % 0.28/0.54 (define @t16 () (= tptp.x @t15)) % 0.28/0.54 (define @t17 () (=> @t16 @t13)) % 0.28/0.54 (define @t18 () (_ @t14 @t12)) % 0.28/0.54 (define @t19 () (= tptp.x @t18)) % 0.28/0.54 (define @t20 () (@list @t12 @t11)) % 0.28/0.54 (define @t21 () (forall @t20 (=> @t19 @t17))) % 0.28/0.54 (define @t22 () (not @t21)) % 0.28/0.54 (define @t23 () (tptp.pl @t4 @t1)) % 0.28/0.54 (define @t24 () (tptp.pl @t4 @t2)) % 0.28/0.54 (define @t25 () (not @t8)) % 0.28/0.54 (define @t26 () (or @t25 @t3)) % 0.28/0.54 (define @t27 () (tptp.pl tptp.y @t11)) % 0.28/0.54 (define @t28 () (not @t16)) % 0.28/0.54 (define @t29 () (tptp.pl tptp.y @t12)) % 0.28/0.54 (define @t30 () (not @t19)) % 0.28/0.54 (define @t31 () (or @t30 @t28 @t13)) % 0.28/0.54 (define @t32 () (forall @t20 (or (not (= tptp.x @t29)) (not (= tptp.x @t27)) @t13))) % 0.28/0.54 (define @t33 () (@quantifiers_skolemize @t32 1)) % 0.28/0.54 (define @t34 () (tptp.pl tptp.y @t33)) % 0.28/0.54 (define @t35 () (= tptp.x @t34)) % 0.28/0.54 (define @t36 () (@quantifiers_skolemize @t32 0)) % 0.28/0.54 (define @t37 () (= @t36 @t33)) % 0.28/0.54 (define @t38 () (not @t35)) % 0.28/0.54 (define @t39 () (tptp.pl tptp.y @t36)) % 0.28/0.54 (define @t40 () (= tptp.x @t39)) % 0.28/0.54 (define @t41 () (not @t40)) % 0.28/0.54 (define @t42 () (or @t41 @t38 @t37)) % 0.28/0.54 (define @t43 () (@list true)) % 0.28/0.54 (define @t44 () (@list @t42)) % 0.28/0.54 (define @t45 () (= @t39 @t34)) % 0.28/0.54 (define @t46 () (not @t45)) % 0.28/0.54 (define @t47 () (or @t46 @t37)) % 0.28/0.54 (define @t48 () (not @t47)) % 0.28/0.54 (define @t49 () (@list true false)) % 0.28/0.54 (define @t50 () (forall @t9 (or (not (= @t24 @t23)) @t3))) % 0.28/0.54 (assume @p1 @t10) % 0.28/0.54 (assume @p2 @t22) % 0.28/0.54 (assume @p3 true) % 0.28/0.54 (step @p4 :rule refl :args (@t3)) % 0.28/0.54 (step @p5 :rule refl :args (@t23)) % 0.28/0.54 (step @p6 :rule refl :args (@t6)) % 0.28/0.54 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t6 @t23))) % 0.28/0.54 (step @p8 :rule symm :premises (@p7)) % 0.28/0.54 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.28/0.54 (step @p10 :rule refl :args (@t24)) % 0.28/0.54 (step @p11 :rule refl :args (@t7)) % 0.28/0.54 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t7 @t24))) % 0.28/0.54 (step @p13 :rule symm :premises (@p12)) % 0.28/0.54 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 0.28/0.54 (step @p15 :rule cong :premises (@p14 @p9) :args (@t8)) % 0.28/0.54 (step @p16 :rule cong :premises (@p15) :args (@t25)) % 0.28/0.54 (step @p17 :rule nary_cong :premises (@p16 @p4) :args (@t26)) % 0.28/0.54 (step @p18 :rule cong :premises (@p17) :args ((forall @t9 @t26))) % 0.28/0.54 (step @p19 :rule bool-impl-elim :args (@t8 @t3)) % 0.28/0.54 (step @p20 :rule cong :premises (@p19) :args (@t10)) % 0.28/0.54 (step @p21 :rule trans :premises (@p20 @p18)) % 0.28/0.54 (step @p22 :rule eq_resolve :premises (@p1 @p21)) % 0.28/0.55 (step @p23 :rule refl :args (@t13)) % 0.28/0.55 (step @p24 :rule refl :args (@t27)) % 0.28/0.55 (step @p25 :rule refl :args (@t15)) % 0.28/0.55 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t15 @t27))) % 0.28/0.55 (step @p27 :rule symm :premises (@p26)) % 0.28/0.55 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.28/0.55 (step @p29 :rule refl :args (tptp.x)) % 0.28/0.55 (step @p30 :rule cong :premises (@p29 @p28) :args (@t16)) % 0.28/0.55 (step @p31 :rule cong :premises (@p30) :args (@t28)) % 0.28/0.55 (step @p32 :rule refl :args (@t29)) % 0.28/0.55 (step @p33 :rule refl :args (@t18)) % 0.28/0.55 (step @p34 :rule cong :premises (@p33 @p32) :args ((= @t18 @t29))) % 0.28/0.55 (step @p35 :rule symm :premises (@p34)) % 0.28/0.55 (step @p36 :rule eq_resolve :premises (@p33 @p35)) % 0.28/0.55 (step @p37 :rule cong :premises (@p29 @p36) :args (@t19)) % 0.28/0.55 (step @p38 :rule cong :premises (@p37) :args (@t30)) % 0.28/0.55 (step @p39 :rule nary_cong :premises (@p38 @p31 @p23) :args (@t31)) % 0.28/0.55 (step @p40 :rule cong :premises (@p39) :args ((forall @t20 @t31))) % 0.28/0.55 (step @p41 :rule aci_norm :args ((= (or @t30 (or @t28 @t13)) @t31))) % 0.28/0.55 (step @p42 :rule bool-impl-elim :args (@t16 @t13)) % 0.28/0.55 (step @p43 :rule refl :args (@t30)) % 0.28/0.55 (step @p44 :rule nary_cong :premises (@p43 @p42) :args ((or @t30 @t17))) % 0.28/0.55 (step @p45 :rule trans :premises (@p44 @p41)) % 0.28/0.55 (step @p46 :rule bool-impl-elim :args (@t19 @t17)) % 0.28/0.55 (step @p47 :rule trans :premises (@p46 @p45)) % 0.28/0.55 (step @p48 :rule cong :premises (@p47) :args (@t21)) % 0.28/0.55 (step @p49 :rule trans :premises (@p48 @p40)) % 0.28/0.55 (step @p50 :rule cong :premises (@p49) :args (@t22)) % 0.28/0.55 (step @p51 :rule eq_resolve :premises (@p2 @p50)) % 0.28/0.55 (step @p52 :rule skolemize :premises (@p51)) % 0.28/0.55 (step @p53 :rule bool-double-not-elim :args (@t35)) % 0.28/0.55 (step @p54 :rule refl :args (@t42)) % 0.28/0.55 (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t42 (not @t38)))) % 0.28/0.55 (step @p56 :rule cnf_or_neg :args (@t42 1)) % 0.28/0.55 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 0.28/0.55 (step @p58 :rule reordering :premises (@p57) :args ((or @t35 @t42))) % 0.28/0.55 (step @p59 :rule chain_m_resolution :premises (@p58 @p52) :args (@t35 @t43 @t44)) % 0.28/0.55 (step @p60 :rule bool-double-not-elim :args (@t40)) % 0.28/0.55 (step @p61 :rule nary_cong :premises (@p54 @p60) :args ((or @t42 (not @t41)))) % 0.28/0.55 (step @p62 :rule cnf_or_neg :args (@t42 0)) % 0.28/0.55 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 0.28/0.55 (step @p64 :rule reordering :premises (@p63) :args ((or @t40 @t42))) % 0.28/0.55 (step @p65 :rule chain_m_resolution :premises (@p64 @p52) :args (@t40 @t43 @t44)) % 0.28/0.55 (step @p66 :rule symm :premises (@p65)) % 0.28/0.55 (step @p67 :rule trans :premises (@p66 @p59)) % 0.28/0.55 (step @p68 :rule cnf_or_neg :args (@t42 2)) % 0.28/0.55 (step @p69 :rule chain_m_resolution :premises (@p68 @p52) :args ((not @t37) @t43 @t44)) % 0.28/0.55 (step @p70 :rule cnf_or_pos :args (@t47)) % 0.28/0.55 (step @p71 :rule reordering :premises (@p70) :args ((or @t37 @t46 @t48))) % 0.28/0.55 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p67) :args (@t48 @t49 (@list @t37 @t45))) % 0.28/0.55 (assume-push @p79 @t50) % 0.28/0.55 (step @p74 :rule instantiate :premises (@p22) :args ((@list tptp.y @t36 @t33))) % 0.28/0.55 (step-pop @p80 :rule scope :premises (@p74)) % 0.28/0.55 (step @p75 :rule process_scope :premises (@p80) :args (@t47)) % 0.28/0.55 (step @p77 :rule implies_elim :premises (@p75)) % 0.28/0.55 (step @p78 false :rule chain_m_resolution :premises (@p77 @p72 @p22) :args (false @t49 (@list @t47 @t50))) % 0.28/0.55 ) % 0.28/0.55 % SZS output end Proof % 0.28/0.55 % cvc5 exiting %------------------------------------------------------------------------------