%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET063+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:47:12 AM UTC 2026 % Result : Theorem 0.30s 0.54s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET063+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n025.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 14:50:01 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.54 % SZS status Theorem % 0.30/0.54 % SZS output start Proof % 0.30/0.54 ( % 0.30/0.54 (declare-sort $$unsorted 0) % 0.30/0.54 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.30/0.54 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.30/0.54 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.30/0.54 (declare-const tptp.empty_set $$unsorted) % 0.30/0.54 (define @t1 () (@var "B" $$unsorted)) % 0.30/0.54 (define @t2 () (@list @t1)) % 0.30/0.54 (define @t3 () (forall @t2 (tptp.subset tptp.empty_set @t1))) % 0.30/0.54 (define @t4 () (@var "C" $$unsorted)) % 0.30/0.54 (define @t5 () (@var "D" $$unsorted)) % 0.30/0.54 (define @t6 () (tptp.subset @t1 @t4)) % 0.30/0.54 (define @t7 () (@list @t1 @t4)) % 0.30/0.54 (define @t8 () (forall @t7 (= (= @t1 @t4) (and @t6 (tptp.subset @t4 @t1))))) % 0.30/0.54 (define @t9 () (tptp.subset @t1 tptp.empty_set)) % 0.30/0.54 (define @t10 () (=> @t9 (= @t1 tptp.empty_set))) % 0.30/0.54 (define @t11 () (forall @t2 @t10)) % 0.30/0.54 (define @t12 () (not @t11)) % 0.30/0.54 (define @t13 () (= tptp.empty_set @t1)) % 0.30/0.54 (define @t14 () (@quantifiers_skolemize (forall @t2 (or (not @t9) @t13)) 0)) % 0.30/0.54 (define @t15 () (tptp.subset tptp.empty_set @t14)) % 0.30/0.54 (define @t16 () (tptp.subset @t14 tptp.empty_set)) % 0.30/0.54 (define @t17 () (and @t16 @t15)) % 0.30/0.54 (define @t18 () (= (= @t14 tptp.empty_set) @t17)) % 0.30/0.54 (define @t19 () (= tptp.empty_set @t14)) % 0.30/0.54 (define @t20 () (= @t19 @t17)) % 0.30/0.54 (define @t21 () (not @t16)) % 0.30/0.54 (define @t22 () (or @t21 @t19)) % 0.30/0.54 (define @t23 () (@list true)) % 0.30/0.54 (define @t24 () (@list @t22)) % 0.30/0.54 (define @t25 () (not @t17)) % 0.30/0.54 (define @t26 () (@list true false)) % 0.30/0.54 (define @t27 () (not @t15)) % 0.30/0.54 (assume @p1 @t3) % 0.30/0.54 (assume @p2 (forall @t2 (not (tptp.member @t1 tptp.empty_set)))) % 0.30/0.54 (assume @p3 (forall @t7 (= @t6 (forall (@list @t5) (=> (tptp.member @t5 @t1) (tptp.member @t5 @t4)))))) % 0.30/0.54 (assume @p4 @t8) % 0.30/0.54 (assume @p5 (forall @t2 (tptp.subset @t1 @t1))) % 0.30/0.54 (assume @p6 (forall @t2 (= (tptp.empty @t1) (forall (@list @t4) (not (tptp.member @t4 @t1)))))) % 0.30/0.54 (assume @p7 @t12) % 0.30/0.54 (assume @p8 true) % 0.30/0.54 (step @p9 :rule refl :args (@t17)) % 0.30/0.54 (step @p10 :rule eq-symm :args (@t14 tptp.empty_set)) % 0.30/0.54 (step @p11 :rule cong :premises (@p10 @p9) :args (@t18)) % 0.30/0.54 (step @p12 :rule refl :args (@t8)) % 0.30/0.54 (step @p13 :rule cong :premises (@p12 @p11) :args ((=> @t8 @t18))) % 0.30/0.54 (assume-push @p52 @t8) % 0.30/0.54 (step @p15 :rule instantiate :premises (@p4) :args ((@list @t14 tptp.empty_set))) % 0.30/0.54 (step-pop @p53 :rule scope :premises (@p15)) % 0.30/0.54 (step @p16 :rule process_scope :premises (@p53) :args (@t18)) % 0.30/0.54 (step @p18 :rule eq_resolve :premises (@p16 @p13)) % 0.30/0.54 (step @p19 :rule implies_elim :premises (@p18)) % 0.30/0.54 (step @p20 :rule chain_m_resolution :premises (@p19 @p4) :args (@t20 (@list false) (@list @t8))) % 0.30/0.54 (step @p21 :rule bool-impl-elim :args (@t9 @t13)) % 0.30/0.54 (step @p22 :rule cong :premises (@p21) :args ((forall @t2 (=> @t9 @t13)))) % 0.30/0.54 (step @p23 :rule eq-symm :args (@t1 tptp.empty_set)) % 0.30/0.54 (step @p24 :rule refl :args (@t9)) % 0.30/0.54 (step @p25 :rule cong :premises (@p24 @p23) :args (@t10)) % 0.30/0.54 (step @p26 :rule cong :premises (@p25) :args (@t11)) % 0.30/0.54 (step @p27 :rule trans :premises (@p26 @p22)) % 0.30/0.54 (step @p28 :rule cong :premises (@p27) :args (@t12)) % 0.30/0.54 (step @p29 :rule eq_resolve :premises (@p7 @p28)) % 0.30/0.54 (step @p30 :rule skolemize :premises (@p29)) % 0.30/0.54 (step @p31 :rule cnf_or_neg :args (@t22 1)) % 0.30/0.54 (step @p32 :rule chain_m_resolution :premises (@p31 @p30) :args ((not @t19) @t23 @t24)) % 0.30/0.54 (step @p33 :rule cnf_equiv_pos2 :args (@t20)) % 0.30/0.54 (step @p34 :rule reordering :premises (@p33) :args ((or @t19 @t25 (not @t20)))) % 0.30/0.54 (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p20) :args (@t25 @t26 (@list @t19 @t20))) % 0.30/0.54 (step @p36 :rule bool-double-not-elim :args (@t16)) % 0.30/0.54 (step @p37 :rule refl :args (@t22)) % 0.30/0.54 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t22 (not @t21)))) % 0.30/0.54 (step @p39 :rule cnf_or_neg :args (@t22 0)) % 0.30/0.54 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 0.30/0.54 (step @p41 :rule reordering :premises (@p40) :args ((or @t16 @t22))) % 0.30/0.54 (step @p42 :rule chain_m_resolution :premises (@p41 @p30) :args (@t16 @t23 @t24)) % 0.30/0.54 (step @p43 :rule cnf_and_neg :args (@t17)) % 0.30/0.54 (step @p44 :rule reordering :premises (@p43) :args ((or @t21 @t17 @t27))) % 0.30/0.54 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p35) :args (@t27 (@list false true) (@list @t16 @t17))) % 0.30/0.54 (assume-push @p54 @t3) % 0.30/0.54 (step @p47 :rule instantiate :premises (@p1) :args ((@list @t14))) % 0.30/0.55 (step-pop @p55 :rule scope :premises (@p47)) % 0.30/0.55 (step @p48 :rule process_scope :premises (@p55) :args (@t15)) % 0.30/0.55 (step @p50 :rule implies_elim :premises (@p48)) % 0.30/0.55 (step @p51 false :rule chain_m_resolution :premises (@p50 @p45 @p1) :args (false @t26 (@list @t15 @t3))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------