%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO200^5 : 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 : n020.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 09:12:13 AM UTC 2026 % Result : Theorem 0.36s 0.62s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SYO200^5 : 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 % 0.16/0.34 % Computer : n020.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 : Wed Jun 3 00:00:56 EDT 2026 % 0.16/0.35 % CPUTime : % 0.23/0.50 %----Proving TH0 % 0.36/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.62 % SZS status Theorem % 0.36/0.62 % SZS output start Proof % 0.36/0.62 ( % 0.36/0.62 (define @t1 () (@var "Xy" Bool)) % 0.36/0.62 (define @t2 () (@var "Xp" (-> Bool Bool))) % 0.36/0.62 (define @t3 () (_ @t2 @t1)) % 0.36/0.62 (define @t4 () (@var "Xx" Bool)) % 0.36/0.62 (define @t5 () (_ @t2 @t4)) % 0.36/0.62 (define @t6 () (=> @t5 @t3)) % 0.36/0.62 (define @t7 () (@list @t2)) % 0.36/0.62 (define @t8 () (exists @t7 @t6)) % 0.36/0.62 (define @t9 () (@list @t4 @t1)) % 0.36/0.62 (define @t10 () (forall @t9 @t8)) % 0.36/0.62 (define @t11 () (not @t10)) % 0.36/0.62 (define @t12 () (@var "BOUND_VARIABLE_7429" (-> Bool Bool))) % 0.36/0.62 (define @t13 () (_ @t12 @t1)) % 0.36/0.62 (define @t14 () (@list @t12)) % 0.36/0.62 (define @t15 () (forall @t14 (not @t13))) % 0.36/0.62 (define @t16 () (not @t15)) % 0.36/0.62 (define @t17 () (forall (@list @t1) @t16)) % 0.36/0.62 (define @t18 () (@var "BOUND_VARIABLE_7424" (-> Bool Bool))) % 0.36/0.62 (define @t19 () (_ @t18 @t4)) % 0.36/0.62 (define @t20 () (@list @t18)) % 0.36/0.62 (define @t21 () (forall @t20 @t19)) % 0.36/0.62 (define @t22 () (not @t21)) % 0.36/0.62 (define @t23 () (_ @t12 @t1)) % 0.36/0.62 (define @t24 () (not @t23)) % 0.36/0.62 (define @t25 () (forall @t14 @t24)) % 0.36/0.62 (define @t26 () (_ @t18 @t4)) % 0.36/0.62 (define @t27 () (forall @t20 @t26)) % 0.36/0.62 (define @t28 () (not @t3)) % 0.36/0.62 (define @t29 () (forall @t7 @t28)) % 0.36/0.62 (define @t30 () (@list @t2)) % 0.36/0.62 (define @t31 () (forall @t7 @t5)) % 0.36/0.62 (define @t32 () (and @t31 @t29)) % 0.36/0.62 (define @t33 () (forall @t7 (not @t6))) % 0.36/0.62 (define @t34 () (not @t33)) % 0.36/0.62 (define @t35 () (@quantifiers_skolemize @t17 0)) % 0.36/0.62 (define @t36 () (forall @t14 (not (_ @t12 @t35)))) % 0.36/0.62 (define @t37 () (not @t17)) % 0.36/0.62 (define @t38 () (not (not @t36))) % 0.36/0.62 (define @t39 () (lambda (@list (@var "BOUND_VARIABLE_21653" Bool)) true)) % 0.36/0.62 (define @t40 () (_ @t39 @t35)) % 0.36/0.62 (define @t41 () (not @t40)) % 0.36/0.62 (assume @p1 @t11) % 0.36/0.62 (assume @p2 true) % 0.36/0.62 (step @p3 :rule quant-miniscope-or :args ((= (forall @t9 (or @t22 @t16)) (or (forall (@list @t4) @t22) @t17)))) % 0.36/0.62 (step @p4 :rule bool-and-de-morgan :args (@t21 @t15 true)) % 0.36/0.62 (step @p5 :rule cong :premises (@p4) :args ((forall @t9 (not (and @t21 @t15))))) % 0.36/0.62 (step @p6 :rule trans :premises (@p5 @p3)) % 0.36/0.62 (step @p7 :rule refl :args (@t13)) % 0.36/0.62 (step @p8 :rule refl :args (@t23)) % 0.36/0.62 (step @p9 :rule cong :premises (@p8 @p7) :args ((= @t23 @t13))) % 0.36/0.62 (step @p10 :rule symm :premises (@p9)) % 0.36/0.62 (step @p11 :rule eq_resolve :premises (@p8 @p10)) % 0.36/0.62 (step @p12 :rule cong :premises (@p11) :args (@t24)) % 0.36/0.62 (step @p13 :rule cong :premises (@p12) :args (@t25)) % 0.36/0.62 (step @p14 :rule refl :args (@t19)) % 0.36/0.62 (step @p15 :rule refl :args (@t26)) % 0.36/0.62 (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t26 @t19))) % 0.36/0.62 (step @p17 :rule symm :premises (@p16)) % 0.36/0.62 (step @p18 :rule eq_resolve :premises (@p15 @p17)) % 0.36/0.62 (step @p19 :rule cong :premises (@p18) :args (@t27)) % 0.36/0.62 (step @p20 :rule nary_cong :premises (@p19 @p13) :args ((and @t27 @t25))) % 0.36/0.62 (step @p21 :rule alpha_equiv :args (@t29 @t30 (@list @t12))) % 0.36/0.62 (step @p22 :rule alpha_equiv :args (@t31 @t30 (@list @t18))) % 0.36/0.62 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t32)) % 0.36/0.62 (step @p24 :rule quant-miniscope-and :args ((= (forall @t7 (and @t5 @t28)) @t32))) % 0.36/0.62 (step @p25 :rule trans :premises (@p24 @p23)) % 0.36/0.62 (step @p26 :rule trans :premises (@p25 @p20)) % 0.36/0.62 (step @p27 :rule bool-implies-de-morgan :args (@t5 @t3)) % 0.36/0.62 (step @p28 :rule cong :premises (@p27) :args (@t33)) % 0.36/0.62 (step @p29 :rule trans :premises (@p28 @p26)) % 0.36/0.62 (step @p30 :rule cong :premises (@p29) :args (@t34)) % 0.36/0.62 (step @p31 :rule exists-elim :args ((= @t8 @t34))) % 0.36/0.62 (step @p32 :rule trans :premises (@p31 @p30)) % 0.36/0.62 (step @p33 :rule cong :premises (@p32) :args (@t10)) % 0.36/0.62 (step @p34 :rule trans :premises (@p33 @p6)) % 0.36/0.62 (step @p35 :rule cong :premises (@p34) :args (@t11)) % 0.36/0.62 (step @p36 :rule eq_resolve :premises (@p1 @p35)) % 0.36/0.62 (step @p37 :rule not_or_elim :premises (@p36) :args (1)) % 0.36/0.62 (step @p38 :rule refl :args (@t36)) % 0.36/0.62 (step @p39 :rule bool-double-not-elim :args (@t17)) % 0.36/0.62 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or (not @t37) @t36))) % 0.36/0.62 (step @p41 :rule bool-double-not-elim :args (@t36)) % 0.36/0.62 (step @p42 :rule refl :args (@t37)) % 0.36/0.62 (step @p43 :rule cong :premises (@p42 @p41) :args ((=> @t37 @t38))) % 0.36/0.62 (assume-push @p65 @t37) % 0.36/0.62 (step @p45 :rule skolemize :premises (@p37)) % 0.36/0.62 (step-pop @p66 :rule scope :premises (@p45)) % 0.36/0.62 (step @p46 :rule process_scope :premises (@p66) :args (@t38)) % 0.36/0.62 (step @p48 :rule eq_resolve :premises (@p46 @p43)) % 0.35/0.62 (step @p49 :rule implies_elim :premises (@p48)) % 0.35/0.62 (step @p50 :rule eq_resolve :premises (@p49 @p40)) % 0.35/0.62 (step @p51 :rule chain_m_resolution :premises (@p50 @p37) :args (@t36 (@list true) (@list @t17))) % 0.35/0.62 (step @p52 :rule bool-impl-false1 :args (@t36)) % 0.35/0.62 (step @p53 :rule evaluate :args ((not true))) % 0.35/0.62 (step @p54 :rule beta-reduce :args ((= @t40 true))) % 0.35/0.62 (step @p55 :rule cong :premises (@p54) :args (@t41)) % 0.35/0.62 (step @p56 :rule trans :premises (@p55 @p53)) % 0.35/0.62 (step @p57 :rule cong :premises (@p38 @p56) :args ((=> @t36 @t41))) % 0.35/0.62 (step @p58 :rule trans :premises (@p57 @p52)) % 0.35/0.62 (assume-push @p67 @t36) % 0.35/0.62 (step @p60 :rule instantiate :premises (@p51) :args ((@list @t39))) % 0.35/0.62 (step-pop @p68 :rule scope :premises (@p60)) % 0.35/0.62 (step @p61 :rule process_scope :premises (@p68) :args (@t41)) % 0.35/0.62 (step @p63 :rule eq_resolve :premises (@p61 @p58)) % 0.35/0.62 (step @p64 false :rule chain_m_resolution :premises (@p63 @p51) :args (false (@list false) (@list @t36))) % 0.35/0.62 ) % 0.35/0.62 % SZS output end Proof % 0.35/0.62 % cvc5 exiting %------------------------------------------------------------------------------