%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET575+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:48:04 AM UTC 2026 % Result : Theorem 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET575+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n019.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:02:49 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort $$unsorted 0) % 0.39/0.56 (declare-const tptp.intersect (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (define @t1 () (@var "C" $$unsorted)) % 0.39/0.56 (define @t2 () (@var "D" $$unsorted)) % 0.39/0.56 (define @t3 () (tptp.member @t2 @t1)) % 0.39/0.56 (define @t4 () (@var "B" $$unsorted)) % 0.39/0.56 (define @t5 () (tptp.member @t2 @t4)) % 0.39/0.56 (define @t6 () (and @t5 @t3)) % 0.39/0.56 (define @t7 () (@list @t2)) % 0.39/0.56 (define @t8 () (exists @t7 @t6)) % 0.39/0.56 (define @t9 () (tptp.intersect @t4 @t1)) % 0.39/0.56 (define @t10 () (= @t9 @t8)) % 0.39/0.56 (define @t11 () (@list @t4 @t1)) % 0.39/0.56 (define @t12 () (forall @t11 @t10)) % 0.39/0.56 (define @t13 () (=> @t9 @t8)) % 0.39/0.56 (define @t14 () (forall @t11 @t13)) % 0.39/0.56 (define @t15 () (not @t14)) % 0.39/0.56 (define @t16 () (forall @t7 (not @t6))) % 0.39/0.56 (define @t17 () (not @t16)) % 0.39/0.56 (define @t18 () (not (forall @t7 (or (not @t5) (not @t3))))) % 0.39/0.56 (define @t19 () (forall @t11 (or (not @t9) @t18))) % 0.39/0.56 (define @t20 () (@quantifiers_skolemize @t19 1)) % 0.39/0.56 (define @t21 () (@quantifiers_skolemize @t19 0)) % 0.39/0.56 (define @t22 () (forall @t7 (or (not (tptp.member @t2 @t21)) (not (tptp.member @t2 @t20))))) % 0.39/0.56 (define @t23 () (not @t22)) % 0.39/0.56 (define @t24 () (tptp.intersect @t21 @t20)) % 0.39/0.56 (define @t25 () (not @t24)) % 0.39/0.56 (define @t26 () (or @t25 @t23)) % 0.39/0.56 (define @t27 () (@list true)) % 0.39/0.56 (define @t28 () (@list @t26)) % 0.39/0.56 (define @t29 () (= @t24 @t23)) % 0.39/0.56 (define @t30 () (not @t29)) % 0.39/0.56 (define @t31 () (forall @t11 (= @t9 @t18))) % 0.39/0.56 (assume @p1 @t12) % 0.39/0.56 (assume @p2 (forall @t11 (=> @t9 (tptp.intersect @t1 @t4)))) % 0.39/0.56 (assume @p3 @t15) % 0.39/0.56 (assume @p4 true) % 0.39/0.56 (step @p5 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.39/0.56 (step @p6 :rule cong :premises (@p5) :args (@t16)) % 0.39/0.56 (step @p7 :rule cong :premises (@p6) :args (@t17)) % 0.39/0.56 (step @p8 :rule exists-elim :args ((= @t8 @t17))) % 0.39/0.56 (step @p9 :rule trans :premises (@p8 @p7)) % 0.39/0.56 (step @p10 :rule refl :args (@t9)) % 0.39/0.56 (step @p11 :rule cong :premises (@p10 @p9) :args (@t10)) % 0.39/0.56 (step @p12 :rule cong :premises (@p11) :args (@t12)) % 0.39/0.56 (step @p13 :rule eq_resolve :premises (@p1 @p12)) % 0.39/0.56 (step @p14 :rule bool-impl-elim :args (@t9 @t18)) % 0.39/0.56 (step @p15 :rule cong :premises (@p14) :args ((forall @t11 (=> @t9 @t18)))) % 0.39/0.56 (step @p16 :rule cong :premises (@p10 @p9) :args (@t13)) % 0.39/0.56 (step @p17 :rule cong :premises (@p16) :args (@t14)) % 0.39/0.56 (step @p18 :rule trans :premises (@p17 @p15)) % 0.39/0.56 (step @p19 :rule cong :premises (@p18) :args (@t15)) % 0.39/0.56 (step @p20 :rule eq_resolve :premises (@p3 @p19)) % 0.39/0.56 (step @p21 :rule skolemize :premises (@p20)) % 0.39/0.56 (step @p22 :rule bool-double-not-elim :args (@t22)) % 0.39/0.56 (step @p23 :rule refl :args (@t26)) % 0.39/0.56 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t26 (not @t23)))) % 0.39/0.56 (step @p25 :rule cnf_or_neg :args (@t26 1)) % 0.39/0.56 (step @p26 :rule eq_resolve :premises (@p25 @p24)) % 0.39/0.56 (step @p27 :rule reordering :premises (@p26) :args ((or @t22 @t26))) % 0.39/0.56 (step @p28 :rule chain_m_resolution :premises (@p27 @p21) :args (@t22 @t27 @t28)) % 0.39/0.56 (step @p29 :rule bool-double-not-elim :args (@t24)) % 0.39/0.56 (step @p30 :rule nary_cong :premises (@p23 @p29) :args ((or @t26 (not @t25)))) % 0.39/0.56 (step @p31 :rule cnf_or_neg :args (@t26 0)) % 0.39/0.56 (step @p32 :rule eq_resolve :premises (@p31 @p30)) % 0.39/0.56 (step @p33 :rule reordering :premises (@p32) :args ((or @t24 @t26))) % 0.39/0.56 (step @p34 :rule chain_m_resolution :premises (@p33 @p21) :args (@t24 @t27 @t28)) % 0.39/0.56 (step @p35 :rule cnf_equiv_pos1 :args (@t29)) % 0.39/0.56 (step @p36 :rule reordering :premises (@p35) :args ((or @t25 @t23 @t30))) % 0.39/0.56 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p28) :args (@t30 (@list false false) (@list @t24 @t22))) % 0.39/0.56 (assume-push @p44 @t31) % 0.39/0.56 (step @p39 :rule instantiate :premises (@p13) :args ((@list @t21 @t20))) % 0.39/0.56 (step-pop @p45 :rule scope :premises (@p39)) % 0.39/0.56 (step @p40 :rule process_scope :premises (@p45) :args (@t29)) % 0.39/0.56 (step @p42 :rule implies_elim :premises (@p40)) % 0.39/0.56 (step @p43 false :rule chain_m_resolution :premises (@p42 @p37 @p13) :args (false (@list true false) (@list @t29 @t31))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------