%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO282^5 : 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 : n012.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 09:12:21 AM UTC 2026 % Result : Theorem 0.16s 0.36s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SYO282^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Wed Jun 3 00:02:18 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.33 %----Proving TH0 % 0.16/0.36 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.16/0.36 % SZS status Theorem % 0.16/0.36 % SZS output start Proof % 0.16/0.36 ( % 0.16/0.36 (declare-sort tptp.b 0) % 0.16/0.36 (define @t1 () (@var "Xy" tptp.b)) % 0.16/0.36 (define @t2 () (@var "Xx" (-> tptp.b Bool))) % 0.16/0.36 (define @t3 () (_ @t2 @t1)) % 0.16/0.36 (define @t4 () (@var "Xx0" tptp.b)) % 0.16/0.36 (define @t5 () (_ @t2 @t4)) % 0.16/0.36 (define @t6 () (@list @t4)) % 0.16/0.36 (define @t7 () (exists @t6 @t5)) % 0.16/0.36 (define @t8 () (=> @t7 @t3)) % 0.16/0.36 (define @t9 () (@list @t1)) % 0.16/0.36 (define @t10 () (exists @t9 @t8)) % 0.16/0.36 (define @t11 () (@list @t2)) % 0.16/0.36 (define @t12 () (forall @t11 @t10)) % 0.16/0.36 (define @t13 () (not @t12)) % 0.16/0.36 (define @t14 () (@var "BOUND_VARIABLE_7436" tptp.b)) % 0.16/0.36 (define @t15 () (_ @t2 @t14)) % 0.16/0.36 (define @t16 () (@list @t14)) % 0.16/0.36 (define @t17 () (forall @t16 (not @t15))) % 0.16/0.36 (define @t18 () (not @t17)) % 0.16/0.36 (define @t19 () (@var "BOUND_VARIABLE_7452" tptp.b)) % 0.16/0.36 (define @t20 () (not (_ @t2 @t19))) % 0.16/0.36 (define @t21 () (or @t20 @t18)) % 0.16/0.36 (define @t22 () (forall (@list @t2 @t19) @t21)) % 0.16/0.36 (define @t23 () (@list @t19)) % 0.16/0.36 (define @t24 () (forall @t23 @t21)) % 0.16/0.36 (define @t25 () (forall @t23 @t20)) % 0.16/0.36 (define @t26 () (or @t25 @t18)) % 0.16/0.36 (define @t27 () (_ @t2 @t4)) % 0.16/0.36 (define @t28 () (forall @t6 (not @t27))) % 0.16/0.36 (define @t29 () (not @t28)) % 0.16/0.36 (define @t30 () (_ @t2 @t14)) % 0.16/0.36 (define @t31 () (not @t30)) % 0.16/0.36 (define @t32 () (forall @t16 @t31)) % 0.16/0.36 (define @t33 () (not @t3)) % 0.16/0.36 (define @t34 () (forall @t9 @t33)) % 0.16/0.36 (define @t35 () (forall @t9 @t29)) % 0.16/0.36 (define @t36 () (and @t35 @t34)) % 0.16/0.36 (define @t37 () (=> @t29 @t3)) % 0.16/0.36 (define @t38 () (forall @t9 (not @t37))) % 0.16/0.36 (define @t39 () (not @t38)) % 0.16/0.36 (define @t40 () (not @t5)) % 0.16/0.36 (define @t41 () (forall @t6 @t40)) % 0.16/0.36 (define @t42 () (not @t41)) % 0.16/0.36 (define @t43 () (@quantifiers_skolemize @t22 1)) % 0.16/0.36 (define @t44 () (@quantifiers_skolemize @t22 0)) % 0.16/0.36 (define @t45 () (_ @t44 @t43)) % 0.16/0.36 (define @t46 () (forall @t16 (not (_ @t44 @t14)))) % 0.16/0.36 (define @t47 () (not @t46)) % 0.16/0.36 (define @t48 () (not @t45)) % 0.16/0.36 (define @t49 () (or @t48 @t47)) % 0.16/0.36 (define @t50 () (@list true)) % 0.16/0.36 (define @t51 () (@list @t49)) % 0.16/0.36 (assume @p1 @t13) % 0.16/0.36 (assume @p2 true) % 0.16/0.36 (step @p3 :rule quant-merge-prenex :args ((= (forall @t11 @t24) @t22))) % 0.16/0.36 (step @p4 :rule refl :args (@t18)) % 0.16/0.36 (step @p5 :rule alpha_equiv :args (@t25 (@list @t19) (@list @t4))) % 0.16/0.36 (step @p6 :rule nary_cong :premises (@p5 @p4) :args (@t26)) % 0.16/0.36 (step @p7 :rule quant-miniscope-or :args ((= @t24 @t26))) % 0.16/0.36 (step @p8 :rule trans :premises (@p7 @p6)) % 0.16/0.36 (step @p9 :rule symm :premises (@p8)) % 0.16/0.36 (step @p10 :rule cong :premises (@p9) :args ((forall @t11 (or @t28 @t18)))) % 0.16/0.36 (step @p11 :rule trans :premises (@p10 @p3)) % 0.16/0.36 (step @p12 :rule bool-double-not-elim :args (@t28)) % 0.16/0.36 (step @p13 :rule nary_cong :premises (@p12 @p4) :args ((or (not @t29) @t18))) % 0.16/0.36 (step @p14 :rule bool-and-de-morgan :args (@t29 @t17 true)) % 0.16/0.36 (step @p15 :rule trans :premises (@p14 @p13)) % 0.16/0.36 (step @p16 :rule cong :premises (@p15) :args ((forall @t11 (not (and @t29 @t17))))) % 0.16/0.36 (step @p17 :rule trans :premises (@p16 @p11)) % 0.16/0.36 (step @p18 :rule refl :args (@t15)) % 0.16/0.36 (step @p19 :rule refl :args (@t30)) % 0.16/0.36 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t30 @t15))) % 0.16/0.36 (step @p21 :rule symm :premises (@p20)) % 0.16/0.36 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.16/0.36 (step @p23 :rule cong :premises (@p22) :args (@t31)) % 0.16/0.36 (step @p24 :rule cong :premises (@p23) :args (@t32)) % 0.16/0.36 (step @p25 :rule refl :args (@t29)) % 0.16/0.36 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((and @t29 @t32))) % 0.16/0.36 (step @p27 :rule alpha_equiv :args (@t34 (@list @t1) (@list @t14))) % 0.16/0.36 (step @p28 :rule quant-unused-vars :args ((= @t35 @t29))) % 0.16/0.36 (step @p29 :rule nary_cong :premises (@p28 @p27) :args (@t36)) % 0.16/0.36 (step @p30 :rule quant-miniscope-and :args ((= (forall @t9 (and @t29 @t33)) @t36))) % 0.16/0.36 (step @p31 :rule trans :premises (@p30 @p29)) % 0.16/0.36 (step @p32 :rule trans :premises (@p31 @p26)) % 0.16/0.36 (step @p33 :rule bool-implies-de-morgan :args (@t29 @t3)) % 0.16/0.36 (step @p34 :rule cong :premises (@p33) :args (@t38)) % 0.16/0.36 (step @p35 :rule trans :premises (@p34 @p32)) % 0.16/0.36 (step @p36 :rule cong :premises (@p35) :args (@t39)) % 0.16/0.36 (step @p37 :rule exists-elim :args ((= (exists @t9 @t37) @t39))) % 0.16/0.36 (step @p38 :rule trans :premises (@p37 @p36)) % 0.16/0.36 (step @p39 :rule refl :args (@t3)) % 0.16/0.36 (step @p40 :rule refl :args (@t27)) % 0.16/0.36 (step @p41 :rule refl :args (@t5)) % 0.16/0.36 (step @p42 :rule cong :premises (@p41 @p40) :args ((= @t5 @t27))) % 0.16/0.36 (step @p43 :rule symm :premises (@p42)) % 0.16/0.36 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 0.16/0.36 (step @p45 :rule cong :premises (@p44) :args (@t40)) % 0.16/0.36 (step @p46 :rule cong :premises (@p45) :args (@t41)) % 0.16/0.36 (step @p47 :rule cong :premises (@p46) :args (@t42)) % 0.16/0.36 (step @p48 :rule exists-elim :args ((= @t7 @t42))) % 0.16/0.36 (step @p49 :rule trans :premises (@p48 @p47)) % 0.16/0.36 (step @p50 :rule cong :premises (@p49 @p39) :args (@t8)) % 0.16/0.36 (step @p51 :rule cong :premises (@p50) :args (@t10)) % 0.16/0.36 (step @p52 :rule trans :premises (@p51 @p38)) % 0.16/0.36 (step @p53 :rule cong :premises (@p52) :args (@t12)) % 0.16/0.36 (step @p54 :rule trans :premises (@p53 @p17)) % 0.16/0.36 (step @p55 :rule cong :premises (@p54) :args (@t13)) % 0.16/0.36 (step @p56 :rule eq_resolve :premises (@p1 @p55)) % 0.16/0.36 (step @p57 :rule skolemize :premises (@p56)) % 0.16/0.36 (step @p58 :rule bool-double-not-elim :args (@t45)) % 0.16/0.36 (step @p59 :rule refl :args (@t49)) % 0.16/0.36 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t49 (not @t48)))) % 0.16/0.36 (step @p61 :rule cnf_or_neg :args (@t49 0)) % 0.16/0.36 (step @p62 :rule eq_resolve :premises (@p61 @p60)) % 0.16/0.36 (step @p63 :rule reordering :premises (@p62) :args ((or @t45 @t49))) % 0.16/0.36 (step @p64 :rule chain_m_resolution :premises (@p63 @p57) :args (@t45 @t50 @t51)) % 0.16/0.36 (step @p65 :rule bool-double-not-elim :args (@t46)) % 0.16/0.36 (step @p66 :rule nary_cong :premises (@p59 @p65) :args ((or @t49 (not @t47)))) % 0.16/0.36 (step @p67 :rule cnf_or_neg :args (@t49 1)) % 0.16/0.36 (step @p68 :rule eq_resolve :premises (@p67 @p66)) % 0.16/0.36 (step @p69 :rule reordering :premises (@p68) :args ((or @t46 @t49))) % 0.16/0.36 (step @p70 :rule chain_m_resolution :premises (@p69 @p57) :args (@t46 @t50 @t51)) % 0.16/0.36 (assume-push @p78 @t46) % 0.16/0.36 (step @p72 :rule instantiate :premises (@p70) :args ((@list @t43))) % 0.16/0.36 (step-pop @p79 :rule scope :premises (@p72)) % 0.16/0.36 (step @p73 :rule process_scope :premises (@p79) :args (@t48)) % 0.16/0.36 (step @p75 :rule implies_elim :premises (@p73)) % 0.16/0.36 (step @p76 :rule reordering :premises (@p75) :args (@t49)) % 0.16/0.36 (step @p77 false :rule chain_m_resolution :premises (@p76 @p70 @p64) :args (false (@list false false) (@list @t46 @t45))) % 0.16/0.36 ) % 0.16/0.36 % SZS output end Proof % 0.16/0.37 % cvc5 exiting %------------------------------------------------------------------------------