%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO003^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n029.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 09:11:45 AM UTC 2026 % Result : Theorem 0.32s 0.56s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO003^1 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n029.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 23:51:17 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.32/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.32/0.56 % SZS status Theorem % 0.32/0.56 % SZS output start Proof % 0.32/0.56 ( % 0.32/0.56 (declare-sort $$unsorted 0) % 0.32/0.56 (define tptp.leibeq () (let ((_let_1 (@var "Y" $$unsorted))) (let ((_let_2 (@var "P" (-> $$unsorted Bool)))) (let ((_let_3 (@var "X" $$unsorted))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ _let_2 _let_3) (_ _let_2 _let_1)))))))) % 0.32/0.56 (define @t1 () (@var "Y" $$unsorted)) % 0.32/0.56 (define @t2 () (@var "P" (-> $$unsorted Bool))) % 0.32/0.56 (define @t3 () (_ @t2 @t1)) % 0.32/0.56 (define @t4 () (@var "X" $$unsorted)) % 0.32/0.56 (define @t5 () (_ @t2 @t4)) % 0.32/0.56 (define @t6 () (and (_ (_ tptp.leibeq @t4) @t1) @t5)) % 0.32/0.56 (define @t7 () (=> @t6 @t3)) % 0.32/0.56 (define @t8 () (@list @t4 @t1 @t2)) % 0.32/0.56 (define @t9 () (forall @t8 @t7)) % 0.32/0.56 (define @t10 () (not @t9)) % 0.32/0.56 (define @t11 () (@list @t2)) % 0.32/0.56 (define @t12 () (forall @t11 (=> @t5 @t3))) % 0.32/0.56 (define @t13 () (@list @t4 @t1)) % 0.32/0.56 (define @t14 () (lambda @t13 @t12)) % 0.32/0.56 (define @t15 () (_ @t2 @t1)) % 0.32/0.56 (define @t16 () (_ @t2 @t4)) % 0.32/0.56 (define @t17 () (not @t5)) % 0.32/0.56 (define @t18 () (@var "BOUND_VARIABLE_7457" (-> $$unsorted Bool))) % 0.32/0.56 (define @t19 () (@list @t18)) % 0.32/0.56 (define @t20 () (forall @t19 (or (not (_ @t18 @t4)) (_ @t18 @t1)))) % 0.32/0.56 (define @t21 () (not @t20)) % 0.32/0.56 (define @t22 () (or @t21 @t17 @t3)) % 0.32/0.56 (define @t23 () (and @t20 @t5)) % 0.32/0.56 (define @t24 () (not @t16)) % 0.32/0.56 (define @t25 () (forall @t11 (or @t24 @t15))) % 0.32/0.56 (define @t26 () (and @t25 @t5)) % 0.32/0.56 (define @t27 () (=> @t26 @t3)) % 0.32/0.56 (define @t28 () (lambda (@list @t1) @t25)) % 0.32/0.56 (define @t29 () (_ (lambda @t13 @t25) @t4)) % 0.32/0.56 (define @t30 () (and (_ @t29 @t1) @t5)) % 0.32/0.56 (define @t31 () (=> @t30 @t3)) % 0.32/0.56 (define @t32 () (forall @t8 @t31)) % 0.32/0.56 (define @t33 () (or @t17 @t3)) % 0.32/0.56 (define @t34 () (forall @t8 (or @t21 @t24 @t15))) % 0.32/0.56 (define @t35 () (@quantifiers_skolemize @t34 1)) % 0.32/0.56 (define @t36 () (@quantifiers_skolemize @t34 0)) % 0.32/0.56 (define @t37 () (forall @t19 (or (not (_ @t18 @t36)) (_ @t18 @t35)))) % 0.32/0.56 (define @t38 () (@quantifiers_skolemize @t34 2)) % 0.32/0.56 (define @t39 () (_ @t38 @t35)) % 0.32/0.56 (define @t40 () (_ @t38 @t36)) % 0.32/0.56 (define @t41 () (not @t40)) % 0.32/0.56 (define @t42 () (not @t37)) % 0.32/0.56 (define @t43 () (or @t42 @t41 @t39)) % 0.32/0.56 (define @t44 () (@list true)) % 0.32/0.56 (define @t45 () (@list @t43)) % 0.32/0.56 (define @t46 () (or @t41 @t39)) % 0.32/0.56 (define @t47 () (not @t46)) % 0.32/0.56 (assume @p1 @t10) % 0.32/0.56 (assume @p2 true) % 0.32/0.56 (step @p3 (= tptp.leibeq @t14) :rule refl :args (@t14)) % 0.32/0.56 (step @p4 :rule refl :args (@t15)) % 0.32/0.56 (step @p5 :rule refl :args (@t3)) % 0.32/0.56 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t3 @t15))) % 0.32/0.56 (step @p7 :rule symm :premises (@p6)) % 0.32/0.56 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.32/0.56 (step @p9 :rule refl :args (@t16)) % 0.32/0.56 (step @p10 :rule refl :args (@t5)) % 0.32/0.56 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t5 @t16))) % 0.32/0.56 (step @p12 :rule symm :premises (@p11)) % 0.32/0.56 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.32/0.56 (step @p14 :rule cong :premises (@p13) :args (@t17)) % 0.32/0.56 (step @p15 :rule refl :args (@t21)) % 0.32/0.56 (step @p16 :rule nary_cong :premises (@p15 @p14 @p8) :args (@t22)) % 0.32/0.56 (step @p17 :rule cong :premises (@p16) :args ((forall @t8 @t22))) % 0.32/0.56 (step @p18 :rule aci_norm :args ((= (or (or @t21 @t17) @t3) @t22))) % 0.32/0.56 (step @p19 :rule bool-and-de-morgan :args (@t20 @t5 true)) % 0.32/0.57 (step @p20 :rule nary_cong :premises (@p19 @p5) :args ((or (not @t23) @t3))) % 0.32/0.57 (step @p21 :rule trans :premises (@p20 @p18)) % 0.32/0.57 (step @p22 :rule bool-impl-elim :args (@t23 @t3)) % 0.32/0.57 (step @p23 :rule trans :premises (@p22 @p21)) % 0.32/0.57 (step @p24 :rule cong :premises (@p23) :args ((forall @t8 (=> @t23 @t3)))) % 0.32/0.57 (step @p25 :rule trans :premises (@p24 @p17)) % 0.32/0.57 (step @p26 :rule alpha_equiv :args (@t25 (@list @t2) (@list @t18))) % 0.32/0.57 (step @p27 :rule nary_cong :premises (@p26 @p10) :args (@t26)) % 0.32/0.57 (step @p28 :rule cong :premises (@p27 @p5) :args (@t27)) % 0.32/0.57 (step @p29 :rule cong :premises (@p28) :args ((forall @t8 @t27))) % 0.32/0.57 (step @p30 :rule trans :premises (@p29 @p25)) % 0.32/0.57 (step @p31 :rule refl :args (@t3)) % 0.32/0.57 (step @p32 :rule refl :args (@t5)) % 0.32/0.57 (step @p33 :rule beta-reduce :args ((= (_ @t28 @t1) @t25))) % 0.32/0.57 (step @p34 :rule refl :args (@t1)) % 0.32/0.57 (step @p35 :rule beta-reduce :args ((= @t29 @t28))) % 0.32/0.57 (step @p36 :rule ho_cong :premises (@p35 @p34)) % 0.32/0.57 (step @p37 :rule trans :premises (@p36 @p33)) % 0.32/0.57 (step @p38 :rule nary_cong :premises (@p37 @p32) :args (@t30)) % 0.32/0.57 (step @p39 :rule cong :premises (@p38 @p31) :args (@t31)) % 0.32/0.57 (step @p40 :rule cong :premises (@p39) :args (@t32)) % 0.32/0.57 (step @p41 :rule trans :premises (@p40 @p30)) % 0.32/0.57 (step @p42 :rule cong :premises (@p41) :args ((not @t32))) % 0.32/0.57 (step @p43 :rule refl :args (@t4)) % 0.32/0.57 (step @p44 :rule nary_cong :premises (@p14 @p8) :args (@t33)) % 0.32/0.57 (step @p45 :rule cong :premises (@p44) :args ((forall @t11 @t33))) % 0.32/0.57 (step @p46 :rule bool-impl-elim :args (@t5 @t3)) % 0.32/0.57 (step @p47 :rule cong :premises (@p46) :args (@t12)) % 0.32/0.57 (step @p48 :rule trans :premises (@p47 @p45)) % 0.32/0.57 (step @p49 :rule cong :premises (@p48) :args (@t14)) % 0.32/0.57 (step @p50 :rule trans :premises (@p3 @p49)) % 0.32/0.57 (step @p51 :rule ho_cong :premises (@p50 @p43)) % 0.32/0.57 (step @p52 :rule ho_cong :premises (@p51 @p34)) % 0.32/0.57 (step @p53 :rule nary_cong :premises (@p52 @p32) :args (@t6)) % 0.32/0.57 (step @p54 :rule cong :premises (@p53 @p31) :args (@t7)) % 0.32/0.57 (step @p55 :rule cong :premises (@p54) :args (@t9)) % 0.32/0.57 (step @p56 :rule cong :premises (@p55) :args (@t10)) % 0.32/0.57 (step @p57 :rule trans :premises (@p56 @p42)) % 0.32/0.57 (step @p58 :rule eq_resolve :premises (@p1 @p57)) % 0.32/0.57 (step @p59 :rule skolemize :premises (@p58)) % 0.32/0.57 (step @p60 :rule bool-double-not-elim :args (@t37)) % 0.32/0.57 (step @p61 :rule refl :args (@t43)) % 0.32/0.57 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t43 (not @t42)))) % 0.32/0.57 (step @p63 :rule cnf_or_neg :args (@t43 0)) % 0.32/0.57 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.32/0.57 (step @p65 :rule reordering :premises (@p64) :args ((or @t37 @t43))) % 0.32/0.57 (step @p66 :rule chain_m_resolution :premises (@p65 @p59) :args (@t37 @t44 @t45)) % 0.32/0.57 (step @p67 :rule cnf_or_neg :args (@t43 2)) % 0.32/0.57 (step @p68 :rule chain_m_resolution :premises (@p67 @p59) :args ((not @t39) @t44 @t45)) % 0.32/0.57 (step @p69 :rule bool-double-not-elim :args (@t40)) % 0.32/0.57 (step @p70 :rule nary_cong :premises (@p61 @p69) :args ((or @t43 (not @t41)))) % 0.32/0.57 (step @p71 :rule cnf_or_neg :args (@t43 1)) % 0.32/0.57 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.32/0.57 (step @p73 :rule reordering :premises (@p72) :args ((or @t40 @t43))) % 0.32/0.57 (step @p74 :rule chain_m_resolution :premises (@p73 @p59) :args (@t40 @t44 @t45)) % 0.32/0.57 (step @p75 :rule cnf_or_pos :args (@t46)) % 0.32/0.57 (step @p76 :rule reordering :premises (@p75) :args ((or @t41 @t39 @t47))) % 0.32/0.57 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p68) :args (@t47 (@list false true) (@list @t40 @t39))) % 0.32/0.57 (assume-push @p84 @t37) % 0.32/0.57 (step @p79 :rule instantiate :premises (@p66) :args ((@list @t38))) % 0.32/0.57 (step-pop @p85 :rule scope :premises (@p79)) % 0.32/0.57 (step @p80 :rule process_scope :premises (@p85) :args (@t46)) % 0.32/0.57 (step @p82 :rule implies_elim :premises (@p80)) % 0.32/0.57 (step @p83 false :rule chain_m_resolution :premises (@p82 @p77 @p66) :args (false (@list true false) (@list @t46 @t37))) % 0.32/0.57 ) % 0.32/0.57 % SZS output end Proof % 0.32/0.57 % cvc5 exiting %------------------------------------------------------------------------------