%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET584^5 : 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 : n013.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 08:48:06 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET584^5 : TPTP v9.2.1. Released v4.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n013.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:03:15 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.37/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort tptp.a 0) % 0.37/0.56 (define @t1 () (@var "Xx" tptp.a)) % 0.37/0.56 (define @t2 () (@var "Z" (-> tptp.a Bool))) % 0.37/0.56 (define @t3 () (_ @t2 @t1)) % 0.37/0.56 (define @t4 () (@var "Y" (-> tptp.a Bool))) % 0.37/0.56 (define @t5 () (_ @t4 @t1)) % 0.37/0.56 (define @t6 () (or @t5 @t3)) % 0.37/0.56 (define @t7 () (@var "X" (-> tptp.a Bool))) % 0.37/0.56 (define @t8 () (_ @t7 @t1)) % 0.37/0.56 (define @t9 () (or @t8 @t3)) % 0.37/0.56 (define @t10 () (@list @t1)) % 0.37/0.56 (define @t11 () (forall @t10 (=> @t9 @t6))) % 0.37/0.56 (define @t12 () (forall @t10 (=> @t8 @t5))) % 0.37/0.56 (define @t13 () (=> @t12 @t11)) % 0.37/0.56 (define @t14 () (@list @t7 @t4 @t2)) % 0.37/0.56 (define @t15 () (forall @t14 @t13)) % 0.37/0.56 (define @t16 () (not @t15)) % 0.37/0.56 (define @t17 () (@var "BOUND_VARIABLE_7449" tptp.a)) % 0.37/0.56 (define @t18 () (_ @t2 @t17)) % 0.37/0.56 (define @t19 () (_ @t4 @t17)) % 0.37/0.56 (define @t20 () (and (not (_ @t7 @t17)) (not @t18))) % 0.37/0.56 (define @t21 () (_ @t4 @t1)) % 0.37/0.56 (define @t22 () (_ @t7 @t1)) % 0.37/0.56 (define @t23 () (not @t22)) % 0.37/0.56 (define @t24 () (forall @t10 (or @t23 @t21))) % 0.37/0.56 (define @t25 () (not @t24)) % 0.37/0.56 (define @t26 () (or @t25 @t20 @t19 @t18)) % 0.37/0.56 (define @t27 () (or @t20 @t19 @t18)) % 0.37/0.56 (define @t28 () (or @t25 @t27)) % 0.37/0.56 (define @t29 () (@list @t7 @t4 @t2 @t17)) % 0.37/0.56 (define @t30 () (forall @t29 @t28)) % 0.37/0.56 (define @t31 () (@list @t17)) % 0.37/0.56 (define @t32 () (forall @t31 @t28)) % 0.37/0.56 (define @t33 () (forall @t31 @t27)) % 0.37/0.56 (define @t34 () (or @t25 @t33)) % 0.37/0.56 (define @t35 () (_ @t2 @t1)) % 0.37/0.56 (define @t36 () (forall @t10 (or (and @t23 (not @t35)) @t21 @t35))) % 0.37/0.56 (define @t37 () (not @t3)) % 0.37/0.56 (define @t38 () (not @t8)) % 0.37/0.56 (define @t39 () (and @t38 @t37)) % 0.37/0.56 (define @t40 () (or @t39 @t5 @t3)) % 0.37/0.56 (define @t41 () (or @t38 @t5)) % 0.37/0.56 (define @t42 () (forall @t29 @t26)) % 0.37/0.56 (define @t43 () (@quantifiers_skolemize @t42 1)) % 0.37/0.56 (define @t44 () (@quantifiers_skolemize @t42 0)) % 0.37/0.56 (define @t45 () (forall @t10 (or (not (_ @t44 @t1)) (_ @t43 @t1)))) % 0.37/0.56 (define @t46 () (@quantifiers_skolemize @t42 3)) % 0.37/0.56 (define @t47 () (_ (@quantifiers_skolemize @t42 2) @t46)) % 0.37/0.56 (define @t48 () (_ @t43 @t46)) % 0.37/0.56 (define @t49 () (not @t47)) % 0.37/0.56 (define @t50 () (_ @t44 @t46)) % 0.37/0.56 (define @t51 () (not @t50)) % 0.37/0.56 (define @t52 () (and @t51 @t49)) % 0.37/0.56 (define @t53 () (not @t45)) % 0.37/0.56 (define @t54 () (or @t53 @t52 @t48 @t47)) % 0.37/0.56 (define @t55 () (@list true)) % 0.37/0.56 (define @t56 () (@list @t54)) % 0.37/0.56 (define @t57 () (or @t51 @t48)) % 0.37/0.56 (define @t58 () (not @t57)) % 0.37/0.56 (assume @p1 @t16) % 0.37/0.56 (assume @p2 true) % 0.37/0.56 (step @p3 :rule aci_norm :args ((= @t28 @t26))) % 0.37/0.56 (step @p4 :rule cong :premises (@p3) :args (@t30)) % 0.37/0.56 (step @p5 :rule quant-merge-prenex :args ((= (forall @t14 @t32) @t30))) % 0.37/0.56 (step @p6 :rule alpha_equiv :args (@t33 (@list @t17) (@list @t1))) % 0.37/0.56 (step @p7 :rule refl :args (@t25)) % 0.37/0.56 (step @p8 :rule nary_cong :premises (@p7 @p6) :args (@t34)) % 0.37/0.56 (step @p9 :rule quant-miniscope-or :args ((= @t32 @t34))) % 0.37/0.56 (step @p10 :rule trans :premises (@p9 @p8)) % 0.37/0.56 (step @p11 :rule symm :premises (@p10)) % 0.37/0.56 (step @p12 :rule cong :premises (@p11) :args ((forall @t14 (or @t25 @t36)))) % 0.37/0.56 (step @p13 :rule trans :premises (@p12 @p5)) % 0.37/0.56 (step @p14 :rule trans :premises (@p13 @p4)) % 0.37/0.56 (step @p15 :rule bool-impl-elim :args (@t24 @t36)) % 0.37/0.56 (step @p16 :rule cong :premises (@p15) :args ((forall @t14 (=> @t24 @t36)))) % 0.37/0.56 (step @p17 :rule trans :premises (@p16 @p14)) % 0.37/0.56 (step @p18 :rule refl :args (@t35)) % 0.37/0.56 (step @p19 :rule refl :args (@t3)) % 0.37/0.56 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t3 @t35))) % 0.37/0.56 (step @p21 :rule symm :premises (@p20)) % 0.37/0.56 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.37/0.56 (step @p23 :rule refl :args (@t21)) % 0.37/0.56 (step @p24 :rule refl :args (@t5)) % 0.37/0.56 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t5 @t21))) % 0.37/0.56 (step @p26 :rule symm :premises (@p25)) % 0.37/0.56 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.37/0.56 (step @p28 :rule cong :premises (@p22) :args (@t37)) % 0.37/0.56 (step @p29 :rule refl :args (@t22)) % 0.37/0.56 (step @p30 :rule refl :args (@t8)) % 0.37/0.56 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t8 @t22))) % 0.37/0.56 (step @p32 :rule symm :premises (@p31)) % 0.37/0.56 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.37/0.56 (step @p34 :rule cong :premises (@p33) :args (@t38)) % 0.37/0.56 (step @p35 :rule nary_cong :premises (@p34 @p28) :args (@t39)) % 0.37/0.56 (step @p36 :rule nary_cong :premises (@p35 @p27 @p22) :args (@t40)) % 0.37/0.57 (step @p37 :rule cong :premises (@p36) :args ((forall @t10 @t40))) % 0.37/0.57 (step @p38 :rule aci_norm :args ((= (or @t39 @t6) @t40))) % 0.37/0.57 (step @p39 :rule refl :args (@t6)) % 0.37/0.57 (step @p40 :rule bool-or-de-morgan :args (@t8 @t3 false)) % 0.37/0.57 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or (not @t9) @t6))) % 0.37/0.57 (step @p42 :rule trans :premises (@p41 @p38)) % 0.37/0.57 (step @p43 :rule bool-impl-elim :args (@t9 @t6)) % 0.37/0.57 (step @p44 :rule trans :premises (@p43 @p42)) % 0.37/0.57 (step @p45 :rule cong :premises (@p44) :args (@t11)) % 0.37/0.57 (step @p46 :rule trans :premises (@p45 @p37)) % 0.37/0.57 (step @p47 :rule nary_cong :premises (@p34 @p27) :args (@t41)) % 0.37/0.57 (step @p48 :rule cong :premises (@p47) :args ((forall @t10 @t41))) % 0.37/0.57 (step @p49 :rule bool-impl-elim :args (@t8 @t5)) % 0.37/0.57 (step @p50 :rule cong :premises (@p49) :args (@t12)) % 0.37/0.57 (step @p51 :rule trans :premises (@p50 @p48)) % 0.37/0.57 (step @p52 :rule cong :premises (@p51 @p46) :args (@t13)) % 0.37/0.57 (step @p53 :rule cong :premises (@p52) :args (@t15)) % 0.37/0.57 (step @p54 :rule trans :premises (@p53 @p17)) % 0.37/0.57 (step @p55 :rule cong :premises (@p54) :args (@t16)) % 0.37/0.57 (step @p56 :rule eq_resolve :premises (@p1 @p55)) % 0.37/0.57 (step @p57 :rule skolemize :premises (@p56)) % 0.37/0.57 (step @p58 :rule bool-double-not-elim :args (@t45)) % 0.37/0.57 (step @p59 :rule refl :args (@t54)) % 0.37/0.57 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t54 (not @t53)))) % 0.37/0.57 (step @p61 :rule cnf_or_neg :args (@t54 0)) % 0.37/0.57 (step @p62 :rule eq_resolve :premises (@p61 @p60)) % 0.37/0.57 (step @p63 :rule reordering :premises (@p62) :args ((or @t45 @t54))) % 0.37/0.57 (step @p64 :rule chain_m_resolution :premises (@p63 @p57) :args (@t45 @t55 @t56)) % 0.37/0.57 (step @p65 :rule cnf_or_neg :args (@t54 2)) % 0.37/0.57 (step @p66 :rule chain_m_resolution :premises (@p65 @p57) :args ((not @t48) @t55 @t56)) % 0.37/0.57 (step @p67 :rule cnf_or_neg :args (@t54 1)) % 0.37/0.57 (step @p68 :rule chain_m_resolution :premises (@p67 @p57) :args ((not @t52) @t55 @t56)) % 0.37/0.57 (step @p69 :rule cnf_or_neg :args (@t54 3)) % 0.37/0.57 (step @p70 :rule reordering :premises (@p69) :args ((or @t49 @t54))) % 0.37/0.57 (step @p71 :rule chain_m_resolution :premises (@p70 @p57) :args (@t49 @t55 @t56)) % 0.37/0.57 (step @p72 :rule bool-double-not-elim :args (@t47)) % 0.37/0.57 (step @p73 :rule bool-double-not-elim :args (@t50)) % 0.37/0.57 (step @p74 :rule refl :args (@t52)) % 0.37/0.57 (step @p75 :rule nary_cong :premises (@p74 @p73 @p72) :args ((or @t52 (not @t51) (not @t49)))) % 0.37/0.57 (step @p76 :rule cnf_and_neg :args (@t52)) % 0.37/0.57 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.37/0.57 (step @p78 :rule reordering :premises (@p77) :args ((or @t50 @t47 @t52))) % 0.37/0.57 (step @p79 :rule chain_m_resolution :premises (@p78 @p71 @p68) :args (@t50 (@list true true) (@list @t47 @t52))) % 0.37/0.57 (step @p80 :rule cnf_or_pos :args (@t57)) % 0.37/0.57 (step @p81 :rule reordering :premises (@p80) :args ((or @t51 @t48 @t58))) % 0.37/0.57 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p66) :args (@t58 (@list false true) (@list @t50 @t48))) % 0.37/0.57 (assume-push @p89 @t45) % 0.37/0.57 (step @p84 :rule instantiate :premises (@p64) :args ((@list @t46))) % 0.37/0.57 (step-pop @p90 :rule scope :premises (@p84)) % 0.37/0.57 (step @p85 :rule process_scope :premises (@p90) :args (@t57)) % 0.37/0.57 (step @p87 :rule implies_elim :premises (@p85)) % 0.37/0.57 (step @p88 false :rule chain_m_resolution :premises (@p87 @p82 @p64) :args (false (@list true false) (@list @t57 @t45))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------