%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO215^5 : 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 : 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 09:12:15 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 : SYO215^5 : 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 % 0.16/0.35 % Computer : n015.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 00:01:04 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----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 (declare-sort $$unsorted 0) % 0.38/0.59 (define @t1 () (@var "U" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "Z" $$unsorted)) % 0.38/0.59 (define @t3 () (not (= @t2 @t1))) % 0.38/0.59 (define @t4 () (@list @t2)) % 0.38/0.59 (define @t5 () (exists @t4 @t3)) % 0.38/0.59 (define @t6 () (@list @t1)) % 0.38/0.59 (define @t7 () (forall @t6 @t5)) % 0.38/0.59 (define @t8 () (@var "Y" $$unsorted)) % 0.38/0.59 (define @t9 () (@var "X" $$unsorted)) % 0.38/0.59 (define @t10 () (= @t9 @t8)) % 0.38/0.59 (define @t11 () (not @t10)) % 0.38/0.59 (define @t12 () (@list @t9 @t8)) % 0.38/0.59 (define @t13 () (exists @t12 @t11)) % 0.38/0.59 (define @t14 () (=> @t13 @t7)) % 0.38/0.59 (define @t15 () (not @t14)) % 0.38/0.59 (define @t16 () (= @t1 @t2)) % 0.38/0.59 (define @t17 () (not @t16)) % 0.38/0.59 (define @t18 () (forall @t4 (not @t17))) % 0.38/0.59 (define @t19 () (not @t18)) % 0.38/0.59 (define @t20 () (forall @t12 (not @t11))) % 0.38/0.59 (define @t21 () (not @t20)) % 0.38/0.59 (define @t22 () (forall @t6 (not (forall @t4 @t16)))) % 0.38/0.59 (define @t23 () (@quantifiers_skolemize @t22 0)) % 0.38/0.59 (define @t24 () (forall @t4 (= @t2 @t23))) % 0.38/0.59 (define @t25 () (not @t22)) % 0.38/0.59 (define @t26 () (forall @t4 (= @t23 @t2))) % 0.38/0.59 (define @t27 () (not (not @t26))) % 0.38/0.59 (define @t28 () (forall @t12 @t10)) % 0.38/0.59 (define @t29 () (@quantifiers_skolemize @t28 0)) % 0.38/0.59 (define @t30 () (= @t23 @t29)) % 0.38/0.59 (define @t31 () (= @t29 @t23)) % 0.38/0.59 (define @t32 () (@quantifiers_skolemize @t28 1)) % 0.38/0.59 (define @t33 () (= @t32 @t23)) % 0.38/0.59 (assume @p1 @t15) % 0.38/0.59 (assume @p2 true) % 0.38/0.59 (step @p3 :rule bool-double-not-elim :args (@t16)) % 0.38/0.59 (step @p4 :rule cong :premises (@p3) :args (@t18)) % 0.38/0.59 (step @p5 :rule cong :premises (@p4) :args (@t19)) % 0.38/0.59 (step @p6 :rule exists-elim :args ((= (exists @t4 @t17) @t19))) % 0.38/0.59 (step @p7 :rule trans :premises (@p6 @p5)) % 0.38/0.59 (step @p8 :rule eq-symm :args (@t2 @t1)) % 0.38/0.59 (step @p9 :rule cong :premises (@p8) :args (@t3)) % 0.38/0.59 (step @p10 :rule cong :premises (@p9) :args (@t5)) % 0.38/0.59 (step @p11 :rule trans :premises (@p10 @p7)) % 0.38/0.59 (step @p12 :rule cong :premises (@p11) :args (@t7)) % 0.38/0.59 (step @p13 :rule bool-double-not-elim :args (@t10)) % 0.38/0.59 (step @p14 :rule cong :premises (@p13) :args (@t20)) % 0.38/0.59 (step @p15 :rule cong :premises (@p14) :args (@t21)) % 0.38/0.59 (step @p16 :rule exists-elim :args ((= @t13 @t21))) % 0.38/0.59 (step @p17 :rule trans :premises (@p16 @p15)) % 0.38/0.59 (step @p18 :rule cong :premises (@p17 @p12) :args (@t14)) % 0.38/0.59 (step @p19 :rule cong :premises (@p18) :args (@t15)) % 0.38/0.59 (step @p20 :rule eq_resolve :premises (@p1 @p19)) % 0.38/0.59 (step @p21 :rule not_implies_elim2 :premises (@p20)) % 0.38/0.59 (step @p22 :rule refl :args (@t24)) % 0.38/0.59 (step @p23 :rule bool-double-not-elim :args (@t22)) % 0.38/0.59 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or (not @t25) @t24))) % 0.38/0.59 (step @p25 :rule eq-symm :args (@t23 @t2)) % 0.38/0.59 (step @p26 :rule cong :premises (@p25) :args (@t26)) % 0.38/0.59 (step @p27 :rule bool-double-not-elim :args (@t26)) % 0.38/0.59 (step @p28 :rule trans :premises (@p27 @p26)) % 0.38/0.59 (step @p29 :rule refl :args (@t25)) % 0.38/0.59 (step @p30 :rule cong :premises (@p29 @p28) :args ((=> @t25 @t27))) % 0.38/0.59 (assume-push @p71 @t25) % 0.38/0.59 (step @p32 :rule skolemize :premises (@p21)) % 0.38/0.59 (step-pop @p72 :rule scope :premises (@p32)) % 0.38/0.59 (step @p33 :rule process_scope :premises (@p72) :args (@t27)) % 0.38/0.59 (step @p35 :rule eq_resolve :premises (@p33 @p30)) % 0.38/0.59 (step @p36 :rule implies_elim :premises (@p35)) % 0.38/0.59 (step @p37 :rule eq_resolve :premises (@p36 @p24)) % 0.38/0.59 (step @p38 :rule chain_m_resolution :premises (@p37 @p21) :args (@t24 (@list true) (@list @t22))) % 0.38/0.59 (step @p39 :rule bool-eq-false :args (@t30)) % 0.38/0.59 (step @p40 :rule symm :premises (@p39)) % 0.38/0.59 (step @p41 :rule eq-symm :args (@t29 @t23)) % 0.38/0.59 (step @p42 :rule cong :premises (@p41) :args ((not @t31))) % 0.38/0.59 (step @p43 :rule bool-eq-false :args (@t31)) % 0.38/0.59 (step @p44 :rule trans :premises (@p43 @p42)) % 0.38/0.59 (step @p45 :rule trans :premises (@p44 @p40)) % 0.38/0.59 (step @p46 :rule not_implies_elim1 :premises (@p20)) % 0.38/0.59 (step @p47 :rule skolemize :premises (@p46)) % 0.38/0.59 (step @p48 :rule false_intro :premises (@p47)) % 0.38/0.59 (step @p49 :rule eq-symm :args (@t32 @t23)) % 0.38/0.59 (step @p50 :rule cong :premises (@p22 @p49) :args ((=> @t24 @t33))) % 0.38/0.59 (assume-push @p73 @t24) % 0.38/0.59 (step @p52 :rule instantiate :premises (@p38) :args ((@list @t32))) % 0.38/0.59 (step-pop @p74 :rule scope :premises (@p52)) % 0.38/0.59 (step @p53 :rule process_scope :premises (@p74) :args (@t33)) % 0.38/0.59 (step @p55 :rule eq_resolve :premises (@p53 @p50)) % 0.38/0.59 (step @p56 :rule implies_elim :premises (@p55)) % 0.38/0.59 (step @p57 :rule chain_m_resolution :premises (@p56 @p38) :args ((= @t23 @t32) (@list false) (@list @t24))) % 0.38/0.59 (step @p58 :rule refl :args (@t29)) % 0.38/0.59 (step @p59 :rule cong :premises (@p58 @p57) :args (@t31)) % 0.38/0.59 (step @p60 :rule trans :premises (@p59 @p48)) % 0.38/0.59 (step @p61 :rule eq_resolve :premises (@p60 @p45)) % 0.38/0.59 (step @p62 :rule false_elim :premises (@p61)) % 0.38/0.59 (step @p63 :rule cong :premises (@p22 @p41) :args ((=> @t24 @t31))) % 0.38/0.59 (assume-push @p75 @t24) % 0.38/0.59 (step @p65 :rule instantiate :premises (@p38) :args ((@list @t29))) % 0.38/0.59 (step-pop @p76 :rule scope :premises (@p65)) % 0.38/0.59 (step @p66 :rule process_scope :premises (@p76) :args (@t31)) % 0.38/0.59 (step @p68 :rule eq_resolve :premises (@p66 @p63)) % 0.38/0.59 (step @p69 :rule implies_elim :premises (@p68)) % 0.38/0.59 (step @p70 false :rule chain_m_resolution :premises (@p69 @p62 @p38) :args (false (@list true false) (@list @t30 @t24))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------