%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU518^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:52:02 AM UTC 2026 % Result : Theorem 0.33s 0.56s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SEU518^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n004.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 : Tue Jun 2 17:40:22 EDT 2026 % 0.16/0.35 % CPUTime : % 0.33/0.50 %----Proving TH0 % 0.33/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.33/0.56 % SZS status Theorem % 0.33/0.56 % SZS output start Proof % 0.33/0.56 ( % 0.33/0.56 (declare-sort $$unsorted 0) % 0.33/0.56 (declare-const tptp.powersetAx Bool) % 0.33/0.56 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.33/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.33/0.56 (define @t1 () (@var "A" $$unsorted)) % 0.33/0.56 (define @t2 () (@var "Xx" $$unsorted)) % 0.33/0.56 (define @t3 () (_ tptp.in @t2)) % 0.33/0.56 (define @t4 () (_ @t3 @t1)) % 0.33/0.56 (define @t5 () (@var "B" $$unsorted)) % 0.33/0.56 (define @t6 () (_ @t3 @t5)) % 0.33/0.56 (define @t7 () (@list @t2)) % 0.33/0.56 (define @t8 () (forall @t7 (=> @t6 @t4))) % 0.33/0.56 (define @t9 () (_ tptp.powerset @t1)) % 0.33/0.56 (define @t10 () (_ tptp.in @t5)) % 0.33/0.56 (define @t11 () (_ @t10 @t9)) % 0.33/0.56 (define @t12 () (= @t11 @t8)) % 0.33/0.56 (define @t13 () (@list @t1 @t5)) % 0.33/0.56 (define @t14 () (forall @t13 @t12)) % 0.33/0.56 (define @t15 () (= tptp.powersetAx @t14)) % 0.33/0.56 (define @t16 () (=> @t8 @t11)) % 0.33/0.56 (define @t17 () (forall @t13 @t16)) % 0.33/0.56 (define @t18 () (=> tptp.powersetAx @t17)) % 0.33/0.56 (define @t19 () (not @t18)) % 0.33/0.56 (define @t20 () (tptp.powerset @t1)) % 0.33/0.56 (define @t21 () (tptp.in @t5 @t20)) % 0.33/0.56 (define @t22 () (tptp.in @t2 @t1)) % 0.33/0.56 (define @t23 () (tptp.in @t2 @t5)) % 0.33/0.56 (define @t24 () (forall @t7 (or (not @t23) @t22))) % 0.33/0.56 (define @t25 () (not @t24)) % 0.33/0.56 (define @t26 () (forall @t13 (or @t25 @t21))) % 0.33/0.56 (define @t27 () (= @t11 @t24)) % 0.33/0.56 (define @t28 () (not @t6)) % 0.33/0.56 (define @t29 () (or @t28 @t4)) % 0.33/0.56 (define @t30 () (=> tptp.powersetAx @t26)) % 0.33/0.56 (define @t31 () (or @t25 @t11)) % 0.33/0.56 (define @t32 () (@quantifiers_skolemize @t26 0)) % 0.33/0.56 (define @t33 () (@quantifiers_skolemize @t26 1)) % 0.33/0.56 (define @t34 () (tptp.in @t33 (tptp.powerset @t32))) % 0.33/0.56 (define @t35 () (forall @t7 (or (not (tptp.in @t2 @t33)) (tptp.in @t2 @t32)))) % 0.33/0.56 (define @t36 () (not @t35)) % 0.33/0.56 (define @t37 () (or @t36 @t34)) % 0.33/0.56 (define @t38 () (@list true)) % 0.33/0.56 (define @t39 () (@list @t37)) % 0.33/0.56 (define @t40 () (= @t35 @t34)) % 0.33/0.56 (define @t41 () (not @t40)) % 0.33/0.56 (define @t42 () (forall @t13 (= @t24 @t21))) % 0.33/0.56 (assume @p1 @t15) % 0.33/0.56 (assume @p2 @t19) % 0.33/0.56 (assume @p3 true) % 0.33/0.56 (step @p4 :rule refl :args (@t26)) % 0.33/0.56 (step @p5 :rule eq-symm :args (@t21 @t24)) % 0.33/0.56 (step @p6 :rule cong :premises (@p5) :args ((forall @t13 (= @t21 @t24)))) % 0.33/0.56 (step @p7 :rule refl :args (@t24)) % 0.33/0.56 (step @p8 :rule refl :args ((tptp.in @t5 @t9))) % 0.33/0.56 (step @p9 :rule refl :args (@t20)) % 0.33/0.56 (step @p10 :rule refl :args (@t5)) % 0.33/0.56 (step @p11 :rule cong :premises (@p10 @p9) :args (@t21)) % 0.33/0.56 (step @p12 :rule trans :premises (@p11 @p8)) % 0.33/0.56 (step @p13 :rule refl :args (@t10)) % 0.33/0.56 (step @p14 :rule ho_cong :premises (@p13 @p9)) % 0.33/0.56 (step @p15 :rule cong :premises (@p14 @p12) :args ((= (_ @t10 @t20) @t21))) % 0.33/0.56 (step @p16 :rule symm :premises (@p15)) % 0.33/0.56 (step @p17 :rule refl :args (@t11)) % 0.33/0.56 (step @p18 :rule eq_resolve :premises (@p17 @p16)) % 0.33/0.56 (step @p19 :rule refl :args (@t9)) % 0.33/0.56 (step @p20 :rule cong :premises (@p19 @p9) :args ((= @t9 @t20))) % 0.33/0.56 (step @p21 :rule symm :premises (@p20)) % 0.33/0.56 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.33/0.56 (step @p23 :rule ho_cong :premises (@p13 @p22)) % 0.33/0.56 (step @p24 :rule trans :premises (@p23 @p18)) % 0.33/0.56 (step @p25 :rule cong :premises (@p24 @p7) :args (@t27)) % 0.33/0.56 (step @p26 :rule cong :premises (@p25) :args ((forall @t13 @t27))) % 0.33/0.56 (step @p27 :rule trans :premises (@p26 @p6)) % 0.33/0.56 (step @p28 :rule refl :args (@t22)) % 0.33/0.56 (step @p29 :rule refl :args (@t4)) % 0.33/0.56 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t4 @t22))) % 0.33/0.56 (step @p31 :rule symm :premises (@p30)) % 0.33/0.56 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.33/0.56 (step @p33 :rule refl :args (@t23)) % 0.33/0.56 (step @p34 :rule refl :args (@t6)) % 0.33/0.56 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t6 @t23))) % 0.33/0.56 (step @p36 :rule symm :premises (@p35)) % 0.33/0.56 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.33/0.56 (step @p38 :rule cong :premises (@p37) :args (@t28)) % 0.33/0.56 (step @p39 :rule nary_cong :premises (@p38 @p32) :args (@t29)) % 0.33/0.56 (step @p40 :rule cong :premises (@p39) :args ((forall @t7 @t29))) % 0.33/0.56 (step @p41 :rule bool-impl-elim :args (@t6 @t4)) % 0.33/0.56 (step @p42 :rule cong :premises (@p41) :args (@t8)) % 0.33/0.56 (step @p43 :rule trans :premises (@p42 @p40)) % 0.33/0.56 (step @p44 :rule refl :args (@t11)) % 0.33/0.56 (step @p45 :rule cong :premises (@p44 @p43) :args (@t12)) % 0.33/0.56 (step @p46 :rule cong :premises (@p45) :args (@t14)) % 0.33/0.56 (step @p47 :rule trans :premises (@p46 @p27)) % 0.33/0.56 (step @p48 :rule refl :args (tptp.powersetAx)) % 0.33/0.57 (step @p49 :rule cong :premises (@p48 @p47) :args (@t15)) % 0.33/0.57 (step @p50 :rule eq_resolve :premises (@p1 @p49)) % 0.33/0.57 (step @p51 :rule cong :premises (@p50 @p4) :args (@t30)) % 0.33/0.57 (step @p52 :rule cong :premises (@p51) :args ((not @t30))) % 0.33/0.57 (step @p53 :rule refl :args (@t25)) % 0.33/0.57 (step @p54 :rule nary_cong :premises (@p53 @p24) :args (@t31)) % 0.33/0.57 (step @p55 :rule cong :premises (@p54) :args ((forall @t13 @t31))) % 0.33/0.57 (step @p56 :rule bool-impl-elim :args (@t24 @t11)) % 0.33/0.57 (step @p57 :rule cong :premises (@p56) :args ((forall @t13 (=> @t24 @t11)))) % 0.33/0.57 (step @p58 :rule trans :premises (@p57 @p55)) % 0.33/0.57 (step @p59 :rule cong :premises (@p43 @p44) :args (@t16)) % 0.33/0.57 (step @p60 :rule cong :premises (@p59) :args (@t17)) % 0.33/0.57 (step @p61 :rule trans :premises (@p60 @p58)) % 0.33/0.57 (step @p62 :rule cong :premises (@p48 @p61) :args (@t18)) % 0.33/0.57 (step @p63 :rule cong :premises (@p62) :args (@t19)) % 0.33/0.57 (step @p64 :rule trans :premises (@p63 @p52)) % 0.33/0.57 (step @p65 :rule eq_resolve :premises (@p2 @p64)) % 0.33/0.57 (step @p66 :rule not_implies_elim1 :premises (@p65)) % 0.33/0.57 (step @p67 :rule not_implies_elim2 :premises (@p65)) % 0.33/0.57 (step @p68 :rule skolemize :premises (@p67)) % 0.33/0.57 (step @p69 :rule cnf_or_neg :args (@t37 1)) % 0.33/0.57 (step @p70 :rule chain_m_resolution :premises (@p69 @p68) :args ((not @t34) @t38 @t39)) % 0.33/0.57 (step @p71 :rule bool-double-not-elim :args (@t35)) % 0.33/0.57 (step @p72 :rule refl :args (@t37)) % 0.33/0.57 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t37 (not @t36)))) % 0.33/0.57 (step @p74 :rule cnf_or_neg :args (@t37 0)) % 0.33/0.57 (step @p75 :rule eq_resolve :premises (@p74 @p73)) % 0.33/0.57 (step @p76 :rule reordering :premises (@p75) :args ((or @t35 @t37))) % 0.33/0.57 (step @p77 :rule chain_m_resolution :premises (@p76 @p68) :args (@t35 @t38 @t39)) % 0.33/0.57 (step @p78 :rule cnf_equiv_pos1 :args (@t40)) % 0.33/0.57 (step @p79 :rule reordering :premises (@p78) :args ((or @t36 @t34 @t41))) % 0.33/0.57 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p70) :args (@t41 (@list false true) (@list @t35 @t34))) % 0.33/0.57 (assume-push @p87 @t42) % 0.33/0.57 (step @p82 :rule instantiate :premises (@p66) :args ((@list @t32 @t33))) % 0.33/0.57 (step-pop @p88 :rule scope :premises (@p82)) % 0.33/0.57 (step @p83 :rule process_scope :premises (@p88) :args (@t40)) % 0.33/0.57 (step @p85 :rule implies_elim :premises (@p83)) % 0.33/0.57 (step @p86 false :rule chain_m_resolution :premises (@p85 @p80 @p66) :args (false (@list true false) (@list @t40 @t42))) % 0.33/0.57 ) % 0.33/0.57 % SZS output end Proof % 0.33/0.57 % cvc5 exiting %------------------------------------------------------------------------------