%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU578^2 : 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 : n024.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 08:52:16 AM UTC 2026 % Result : Theorem 0.14s 0.36s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU578^2 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.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 : Tue Jun 2 12:42:15 EDT 2026 % 0.07/0.25 % CPUTime : % 0.14/0.33 %----Proving TH0 % 0.14/0.36 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.14/0.36 % SZS status Theorem % 0.14/0.36 % SZS output start Proof % 0.14/0.36 ( % 0.14/0.36 (declare-sort $$unsorted 0) % 0.14/0.36 (declare-const tptp.powersetI1 Bool) % 0.14/0.36 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.14/0.36 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.14/0.36 (declare-const tptp.subsetRefl Bool) % 0.14/0.36 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.14/0.36 (define @t1 () (@var "A" $$unsorted)) % 0.14/0.36 (define @t2 () (_ (_ tptp.subset @t1) @t1)) % 0.14/0.36 (define @t3 () (@list @t1)) % 0.14/0.36 (define @t4 () (forall @t3 @t2)) % 0.14/0.36 (define @t5 () (= tptp.subsetRefl @t4)) % 0.14/0.36 (define @t6 () (_ tptp.powerset @t1)) % 0.14/0.36 (define @t7 () (@var "B" $$unsorted)) % 0.14/0.36 (define @t8 () (_ tptp.in @t7)) % 0.14/0.36 (define @t9 () (_ @t8 @t6)) % 0.14/0.36 (define @t10 () (_ (_ tptp.subset @t7) @t1)) % 0.14/0.36 (define @t11 () (@list @t1 @t7)) % 0.14/0.36 (define @t12 () (forall @t11 (=> @t10 @t9))) % 0.14/0.36 (define @t13 () (= tptp.powersetI1 @t12)) % 0.14/0.36 (define @t14 () (_ tptp.in @t1)) % 0.14/0.36 (define @t15 () (_ @t14 @t6)) % 0.14/0.36 (define @t16 () (forall @t3 @t15)) % 0.14/0.36 (define @t17 () (=> tptp.powersetI1 @t16)) % 0.14/0.36 (define @t18 () (=> tptp.subsetRefl @t17)) % 0.14/0.36 (define @t19 () (not @t18)) % 0.14/0.36 (define @t20 () (tptp.powerset @t1)) % 0.14/0.36 (define @t21 () (tptp.in @t1 @t20)) % 0.14/0.36 (define @t22 () (forall @t3 @t21)) % 0.14/0.36 (define @t23 () (tptp.in @t7 @t20)) % 0.14/0.36 (define @t24 () (tptp.subset @t7 @t1)) % 0.14/0.36 (define @t25 () (not @t10)) % 0.14/0.36 (define @t26 () (or @t25 @t9)) % 0.14/0.36 (define @t27 () (=> tptp.powersetI1 @t22)) % 0.14/0.36 (define @t28 () (tptp.subset @t1 @t1)) % 0.14/0.36 (define @t29 () (=> tptp.subsetRefl @t27)) % 0.14/0.36 (define @t30 () (@quantifiers_skolemize @t22 0)) % 0.14/0.36 (define @t31 () (tptp.in @t30 (tptp.powerset @t30))) % 0.14/0.36 (define @t32 () (tptp.subset @t30 @t30)) % 0.14/0.36 (define @t33 () (not @t32)) % 0.14/0.36 (define @t34 () (or @t33 @t31)) % 0.14/0.36 (define @t35 () (@list true false)) % 0.14/0.36 (define @t36 () (forall @t3 @t28)) % 0.14/0.36 (assume @p1 @t5) % 0.14/0.36 (assume @p2 @t13) % 0.14/0.36 (assume @p3 @t19) % 0.14/0.36 (assume @p4 true) % 0.14/0.36 (step @p5 :rule refl :args (@t22)) % 0.14/0.36 (step @p6 :rule refl :args ((tptp.in @t7 @t6))) % 0.14/0.36 (step @p7 :rule refl :args (@t20)) % 0.14/0.36 (step @p8 :rule refl :args (@t7)) % 0.14/0.36 (step @p9 :rule cong :premises (@p8 @p7) :args (@t23)) % 0.14/0.36 (step @p10 :rule trans :premises (@p9 @p6)) % 0.14/0.36 (step @p11 :rule refl :args (@t8)) % 0.14/0.36 (step @p12 :rule ho_cong :premises (@p11 @p7)) % 0.14/0.36 (step @p13 :rule cong :premises (@p12 @p10) :args ((= (_ @t8 @t20) @t23))) % 0.14/0.36 (step @p14 :rule symm :premises (@p13)) % 0.14/0.36 (step @p15 :rule refl :args (@t9)) % 0.14/0.36 (step @p16 :rule eq_resolve :premises (@p15 @p14)) % 0.14/0.36 (step @p17 :rule refl :args (@t6)) % 0.14/0.36 (step @p18 :rule cong :premises (@p17 @p7) :args ((= @t6 @t20))) % 0.14/0.36 (step @p19 :rule symm :premises (@p18)) % 0.14/0.36 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.14/0.36 (step @p21 :rule ho_cong :premises (@p11 @p20)) % 0.14/0.36 (step @p22 :rule trans :premises (@p21 @p16)) % 0.14/0.36 (step @p23 :rule refl :args (@t24)) % 0.14/0.36 (step @p24 :rule refl :args (@t10)) % 0.14/0.36 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t10 @t24))) % 0.14/0.36 (step @p26 :rule symm :premises (@p25)) % 0.14/0.36 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.14/0.36 (step @p28 :rule cong :premises (@p27) :args (@t25)) % 0.14/0.36 (step @p29 :rule nary_cong :premises (@p28 @p22) :args (@t26)) % 0.14/0.36 (step @p30 :rule cong :premises (@p29) :args ((forall @t11 @t26))) % 0.14/0.36 (step @p31 :rule bool-impl-elim :args (@t10 @t9)) % 0.14/0.36 (step @p32 :rule cong :premises (@p31) :args (@t12)) % 0.14/0.36 (step @p33 :rule trans :premises (@p32 @p30)) % 0.14/0.36 (step @p34 :rule refl :args (tptp.powersetI1)) % 0.14/0.36 (step @p35 :rule cong :premises (@p34 @p33) :args (@t13)) % 0.14/0.36 (step @p36 :rule eq_resolve :premises (@p2 @p35)) % 0.14/0.36 (step @p37 :rule cong :premises (@p36 @p5) :args (@t27)) % 0.14/0.36 (step @p38 :rule refl :args (@t28)) % 0.14/0.36 (step @p39 :rule refl :args (@t2)) % 0.14/0.36 (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t2 @t28))) % 0.14/0.36 (step @p41 :rule symm :premises (@p40)) % 0.14/0.36 (step @p42 :rule eq_resolve :premises (@p39 @p41)) % 0.14/0.36 (step @p43 :rule cong :premises (@p42) :args (@t4)) % 0.14/0.36 (step @p44 :rule refl :args (tptp.subsetRefl)) % 0.14/0.36 (step @p45 :rule cong :premises (@p44 @p43) :args (@t5)) % 0.14/0.36 (step @p46 :rule eq_resolve :premises (@p1 @p45)) % 0.14/0.36 (step @p47 :rule cong :premises (@p46 @p37) :args (@t29)) % 0.14/0.36 (step @p48 :rule cong :premises (@p47) :args ((not @t29))) % 0.14/0.36 (step @p49 :rule refl :args ((tptp.in @t1 @t6))) % 0.14/0.36 (step @p50 :rule refl :args (@t1)) % 0.14/0.37 (step @p51 :rule cong :premises (@p50 @p7) :args (@t21)) % 0.14/0.37 (step @p52 :rule trans :premises (@p51 @p49)) % 0.14/0.37 (step @p53 :rule refl :args (@t14)) % 0.14/0.37 (step @p54 :rule ho_cong :premises (@p53 @p7)) % 0.14/0.37 (step @p55 :rule cong :premises (@p54 @p52) :args ((= (_ @t14 @t20) @t21))) % 0.14/0.37 (step @p56 :rule symm :premises (@p55)) % 0.14/0.37 (step @p57 :rule refl :args (@t15)) % 0.14/0.37 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.14/0.37 (step @p59 :rule ho_cong :premises (@p53 @p20)) % 0.14/0.37 (step @p60 :rule trans :premises (@p59 @p58)) % 0.14/0.37 (step @p61 :rule cong :premises (@p60) :args (@t16)) % 0.14/0.37 (step @p62 :rule cong :premises (@p34 @p61) :args (@t17)) % 0.14/0.37 (step @p63 :rule cong :premises (@p44 @p62) :args (@t18)) % 0.14/0.37 (step @p64 :rule cong :premises (@p63) :args (@t19)) % 0.14/0.37 (step @p65 :rule trans :premises (@p64 @p48)) % 0.14/0.37 (step @p66 :rule eq_resolve :premises (@p3 @p65)) % 0.14/0.37 (step @p67 :rule not_implies_elim1 :premises (@p66)) % 0.14/0.37 (step @p68 :rule not_implies_elim2 :premises (@p66)) % 0.14/0.37 (step @p69 :rule not_implies_elim1 :premises (@p68)) % 0.14/0.37 (step @p70 :rule instantiate :premises (@p69) :args ((@list @t30 @t30))) % 0.14/0.37 (step @p71 :rule not_implies_elim2 :premises (@p68)) % 0.14/0.37 (step @p72 :rule skolemize :premises (@p71)) % 0.14/0.37 (step @p73 :rule cnf_or_pos :args (@t34)) % 0.14/0.37 (step @p74 :rule reordering :premises (@p73) :args ((or @t31 @t33 (not @t34)))) % 0.14/0.37 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p70) :args (@t33 @t35 (@list @t31 @t34))) % 0.14/0.37 (assume-push @p82 @t36) % 0.14/0.37 (step @p77 :rule instantiate :premises (@p67) :args ((@list @t30))) % 0.14/0.37 (step-pop @p83 :rule scope :premises (@p77)) % 0.14/0.37 (step @p78 :rule process_scope :premises (@p83) :args (@t32)) % 0.14/0.37 (step @p80 :rule implies_elim :premises (@p78)) % 0.14/0.37 (step @p81 false :rule chain_m_resolution :premises (@p80 @p75 @p67) :args (false @t35 (@list @t32 @t36))) % 0.14/0.37 ) % 0.14/0.37 % SZS output end Proof % 0.14/0.37 % cvc5 exiting %------------------------------------------------------------------------------