%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO198^5 : 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 : n015.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 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO198^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n015.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 00:00:49 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.38/0.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (define @t1 () (@var "Xy" Bool)) % 0.38/0.59 (define @t2 () (@var "Xp" (-> Bool Bool))) % 0.38/0.59 (define @t3 () (_ @t2 @t1)) % 0.38/0.59 (define @t4 () (@var "Xx" Bool)) % 0.38/0.59 (define @t5 () (_ @t2 @t4)) % 0.38/0.59 (define @t6 () (and @t5 @t3)) % 0.38/0.59 (define @t7 () (@list @t2)) % 0.38/0.59 (define @t8 () (exists @t7 @t6)) % 0.38/0.59 (define @t9 () (@list @t4 @t1)) % 0.38/0.59 (define @t10 () (forall @t9 @t8)) % 0.38/0.59 (define @t11 () (not @t10)) % 0.38/0.59 (define @t12 () (_ @t2 @t1)) % 0.38/0.59 (define @t13 () (not @t3)) % 0.38/0.59 (define @t14 () (_ @t2 @t4)) % 0.38/0.59 (define @t15 () (not @t5)) % 0.38/0.59 (define @t16 () (or @t15 @t13)) % 0.38/0.59 (define @t17 () (forall @t7 (not @t6))) % 0.38/0.59 (define @t18 () (not @t17)) % 0.38/0.59 (define @t19 () (forall @t9 (not (forall @t7 (or (not @t14) (not @t12)))))) % 0.38/0.59 (define @t20 () (@quantifiers_skolemize @t19 1)) % 0.38/0.59 (define @t21 () (@quantifiers_skolemize @t19 0)) % 0.38/0.59 (define @t22 () (forall @t7 (or (not (_ @t2 @t21)) (not (_ @t2 @t20))))) % 0.38/0.59 (define @t23 () (not @t19)) % 0.38/0.59 (define @t24 () (not (not @t22))) % 0.38/0.59 (define @t25 () (lambda (@list (@var "BOUND_VARIABLE_14525" Bool)) true)) % 0.38/0.59 (define @t26 () (_ @t25 @t20)) % 0.38/0.59 (define @t27 () (not @t26)) % 0.38/0.59 (define @t28 () (_ @t25 @t21)) % 0.38/0.59 (define @t29 () (not @t28)) % 0.38/0.59 (define @t30 () (or @t29 @t27)) % 0.38/0.59 (assume @p1 @t11) % 0.38/0.59 (assume @p2 true) % 0.38/0.59 (step @p3 :rule refl :args (@t12)) % 0.38/0.59 (step @p4 :rule refl :args (@t3)) % 0.38/0.59 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t3 @t12))) % 0.38/0.59 (step @p6 :rule symm :premises (@p5)) % 0.38/0.59 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.38/0.59 (step @p8 :rule cong :premises (@p7) :args (@t13)) % 0.38/0.59 (step @p9 :rule refl :args (@t14)) % 0.38/0.59 (step @p10 :rule refl :args (@t5)) % 0.38/0.59 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t5 @t14))) % 0.38/0.59 (step @p12 :rule symm :premises (@p11)) % 0.38/0.59 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.38/0.59 (step @p14 :rule cong :premises (@p13) :args (@t15)) % 0.38/0.59 (step @p15 :rule nary_cong :premises (@p14 @p8) :args (@t16)) % 0.38/0.59 (step @p16 :rule cong :premises (@p15) :args ((forall @t7 @t16))) % 0.38/0.59 (step @p17 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.38/0.59 (step @p18 :rule cong :premises (@p17) :args (@t17)) % 0.38/0.59 (step @p19 :rule trans :premises (@p18 @p16)) % 0.38/0.59 (step @p20 :rule cong :premises (@p19) :args (@t18)) % 0.38/0.59 (step @p21 :rule exists-elim :args ((= @t8 @t18))) % 0.38/0.59 (step @p22 :rule trans :premises (@p21 @p20)) % 0.38/0.59 (step @p23 :rule cong :premises (@p22) :args (@t10)) % 0.38/0.59 (step @p24 :rule cong :premises (@p23) :args (@t11)) % 0.38/0.59 (step @p25 :rule eq_resolve :premises (@p1 @p24)) % 0.38/0.59 (step @p26 :rule refl :args (@t22)) % 0.38/0.59 (step @p27 :rule bool-double-not-elim :args (@t19)) % 0.38/0.59 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or (not @t23) @t22))) % 0.38/0.59 (step @p29 :rule bool-double-not-elim :args (@t22)) % 0.38/0.59 (step @p30 :rule refl :args (@t23)) % 0.38/0.59 (step @p31 :rule cong :premises (@p30 @p29) :args ((=> @t23 @t24))) % 0.38/0.59 (assume-push @p59 @t23) % 0.38/0.59 (step @p33 :rule skolemize :premises (@p25)) % 0.38/0.59 (step-pop @p60 :rule scope :premises (@p33)) % 0.38/0.59 (step @p34 :rule process_scope :premises (@p60) :args (@t24)) % 0.38/0.59 (step @p36 :rule eq_resolve :premises (@p34 @p31)) % 0.38/0.59 (step @p37 :rule implies_elim :premises (@p36)) % 0.38/0.59 (step @p38 :rule eq_resolve :premises (@p37 @p28)) % 0.38/0.59 (step @p39 :rule chain_m_resolution :premises (@p38 @p25) :args (@t22 (@list true) (@list @t19))) % 0.38/0.59 (step @p40 :rule bool-impl-false1 :args (@t22)) % 0.38/0.59 (step @p41 :rule evaluate :args ((or false false))) % 0.38/0.59 (step @p42 :rule evaluate :args ((not true))) % 0.38/0.59 (step @p43 :rule beta-reduce :args ((= @t26 true))) % 0.38/0.59 (step @p44 :rule cong :premises (@p43) :args (@t27)) % 0.38/0.59 (step @p45 :rule trans :premises (@p44 @p42)) % 0.38/0.59 (step @p46 :rule beta-reduce :args ((= @t28 true))) % 0.38/0.59 (step @p47 :rule cong :premises (@p46) :args (@t29)) % 0.38/0.59 (step @p48 :rule trans :premises (@p47 @p42)) % 0.38/0.59 (step @p49 :rule nary_cong :premises (@p48 @p45) :args (@t30)) % 0.38/0.59 (step @p50 :rule trans :premises (@p49 @p41)) % 0.38/0.59 (step @p51 :rule cong :premises (@p26 @p50) :args ((=> @t22 @t30))) % 0.38/0.59 (step @p52 :rule trans :premises (@p51 @p40)) % 0.38/0.59 (assume-push @p61 @t22) % 0.38/0.59 (step @p54 :rule instantiate :premises (@p39) :args ((@list @t25))) % 0.38/0.59 (step-pop @p62 :rule scope :premises (@p54)) % 0.38/0.59 (step @p55 :rule process_scope :premises (@p62) :args (@t30)) % 0.38/0.59 (step @p57 :rule eq_resolve :premises (@p55 @p52)) % 0.38/0.59 (step @p58 false :rule chain_m_resolution :premises (@p57 @p39) :args (false (@list false) (@list @t22))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------