%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET581+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 : 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 08:48:05 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SET581+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n025.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Tue Jun 2 16:03:31 EDT 2026 % 0.19/0.35 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.not_equal (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.empty_set $$unsorted) % 0.38/0.56 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (define @t1 () (@var "C" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "D" $$unsorted)) % 0.38/0.56 (define @t3 () (tptp.member @t2 @t1)) % 0.38/0.56 (define @t4 () (@var "B" $$unsorted)) % 0.38/0.56 (define @t5 () (tptp.member @t2 @t4)) % 0.38/0.56 (define @t6 () (tptp.intersection @t4 @t1)) % 0.38/0.56 (define @t7 () (@list @t4 @t1 @t2)) % 0.38/0.56 (define @t8 () (@list @t4)) % 0.38/0.56 (define @t9 () (= @t4 @t1)) % 0.38/0.56 (define @t10 () (@list @t4 @t1)) % 0.38/0.56 (define @t11 () (forall @t10 (= (tptp.not_equal @t4 @t1) (not @t9)))) % 0.38/0.56 (define @t12 () (tptp.not_equal (tptp.intersection @t1 @t2) tptp.empty_set)) % 0.38/0.56 (define @t13 () (tptp.member @t4 @t2)) % 0.38/0.56 (define @t14 () (tptp.member @t4 @t1)) % 0.38/0.56 (define @t15 () (and @t14 @t13)) % 0.38/0.56 (define @t16 () (forall @t7 (=> @t15 @t12))) % 0.38/0.56 (define @t17 () (not @t16)) % 0.38/0.56 (define @t18 () (not @t13)) % 0.38/0.56 (define @t19 () (not @t14)) % 0.38/0.56 (define @t20 () (or @t19 @t18 @t12)) % 0.38/0.56 (define @t21 () (forall @t7 @t20)) % 0.38/0.56 (define @t22 () (@quantifiers_skolemize @t21 0)) % 0.38/0.56 (define @t23 () (@quantifiers_skolemize @t21 2)) % 0.38/0.56 (define @t24 () (@quantifiers_skolemize @t21 1)) % 0.38/0.56 (define @t25 () (tptp.member @t22 @t23)) % 0.38/0.56 (define @t26 () (tptp.intersection @t24 @t23)) % 0.38/0.56 (define @t27 () (tptp.not_equal @t26 tptp.empty_set)) % 0.38/0.56 (define @t28 () (not @t25)) % 0.38/0.56 (define @t29 () (tptp.member @t22 @t24)) % 0.38/0.56 (define @t30 () (not @t29)) % 0.38/0.56 (define @t31 () (or @t30 @t28 @t27)) % 0.38/0.56 (define @t32 () (@list true)) % 0.38/0.56 (define @t33 () (@list @t31)) % 0.38/0.56 (define @t34 () (and @t29 @t25)) % 0.38/0.56 (define @t35 () (@list false false)) % 0.38/0.56 (define @t36 () (tptp.member @t22 @t26)) % 0.38/0.56 (define @t37 () (= @t36 @t34)) % 0.38/0.56 (define @t38 () (not (= @t26 tptp.empty_set))) % 0.38/0.56 (define @t39 () (= @t27 @t38)) % 0.38/0.56 (define @t40 () (= tptp.empty_set @t26)) % 0.38/0.56 (define @t41 () (not @t40)) % 0.38/0.56 (define @t42 () (= @t27 @t41)) % 0.38/0.56 (define @t43 () (not @t42)) % 0.38/0.56 (assume @p1 (forall @t7 (= (tptp.member @t2 @t6) (and @t5 @t3)))) % 0.38/0.56 (assume @p2 (forall @t8 (not (tptp.member @t4 tptp.empty_set)))) % 0.38/0.56 (assume @p3 (forall @t10 (= @t9 (forall (@list @t2) (= @t5 @t3))))) % 0.38/0.56 (assume @p4 @t11) % 0.38/0.56 (assume @p5 (forall @t10 (= @t6 (tptp.intersection @t1 @t4)))) % 0.38/0.56 (assume @p6 (forall @t8 (= (tptp.empty @t4) (forall (@list @t1) (not (tptp.member @t1 @t4)))))) % 0.38/0.56 (assume @p7 @t17) % 0.38/0.56 (assume @p8 true) % 0.38/0.56 (step @p9 :rule evaluate :args ((= false true))) % 0.38/0.56 (step @p10 :rule instantiate :premises (@p1) :args ((@list @t24 @t23 @t22))) % 0.38/0.56 (step @p11 :rule aci_norm :args ((= (or (or @t19 @t18) @t12) @t20))) % 0.38/0.56 (step @p12 :rule refl :args (@t12)) % 0.38/0.56 (step @p13 :rule bool-and-de-morgan :args (@t14 @t13 true)) % 0.38/0.56 (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or (not @t15) @t12))) % 0.38/0.56 (step @p15 :rule trans :premises (@p14 @p11)) % 0.38/0.56 (step @p16 :rule bool-impl-elim :args (@t15 @t12)) % 0.38/0.56 (step @p17 :rule trans :premises (@p16 @p15)) % 0.38/0.56 (step @p18 :rule cong :premises (@p17) :args (@t16)) % 0.38/0.56 (step @p19 :rule cong :premises (@p18) :args (@t17)) % 0.38/0.56 (step @p20 :rule eq_resolve :premises (@p7 @p19)) % 0.38/0.56 (step @p21 :rule skolemize :premises (@p20)) % 0.38/0.56 (step @p22 :rule bool-double-not-elim :args (@t25)) % 0.38/0.56 (step @p23 :rule refl :args (@t31)) % 0.38/0.56 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t31 (not @t28)))) % 0.38/0.56 (step @p25 :rule cnf_or_neg :args (@t31 1)) % 0.38/0.56 (step @p26 :rule eq_resolve :premises (@p25 @p24)) % 0.38/0.56 (step @p27 :rule reordering :premises (@p26) :args ((or @t25 @t31))) % 0.38/0.56 (step @p28 :rule chain_m_resolution :premises (@p27 @p21) :args (@t25 @t32 @t33)) % 0.38/0.56 (step @p29 :rule bool-double-not-elim :args (@t29)) % 0.38/0.56 (step @p30 :rule nary_cong :premises (@p23 @p29) :args ((or @t31 (not @t30)))) % 0.38/0.56 (step @p31 :rule cnf_or_neg :args (@t31 0)) % 0.38/0.56 (step @p32 :rule eq_resolve :premises (@p31 @p30)) % 0.38/0.56 (step @p33 :rule reordering :premises (@p32) :args ((or @t29 @t31))) % 0.38/0.56 (step @p34 :rule chain_m_resolution :premises (@p33 @p21) :args (@t29 @t32 @t33)) % 0.38/0.56 (step @p35 :rule cnf_and_neg :args (@t34)) % 0.38/0.56 (step @p36 :rule reordering :premises (@p35) :args ((or @t30 @t28 @t34))) % 0.38/0.56 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p28) :args (@t34 @t35 (@list @t29 @t25))) % 0.38/0.56 (step @p38 :rule cnf_equiv_pos2 :args (@t37)) % 0.38/0.56 (step @p39 :rule reordering :premises (@p38) :args ((or @t36 (not @t34) (not @t37)))) % 0.38/0.56 (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p10) :args (@t36 @t35 (@list @t34 @t37))) % 0.38/0.56 (step @p41 :rule true_intro :premises (@p40)) % 0.38/0.56 (step @p42 :rule eq-symm :args (@t26 tptp.empty_set)) % 0.38/0.56 (step @p43 :rule cong :premises (@p42) :args (@t38)) % 0.38/0.56 (step @p44 :rule refl :args (@t27)) % 0.38/0.56 (step @p45 :rule cong :premises (@p44 @p43) :args (@t39)) % 0.38/0.56 (step @p46 :rule refl :args (@t11)) % 0.38/0.56 (step @p47 :rule cong :premises (@p46 @p45) :args ((=> @t11 @t39))) % 0.38/0.56 (assume-push @p71 @t11) % 0.38/0.56 (step @p49 :rule instantiate :premises (@p4) :args ((@list @t26 tptp.empty_set))) % 0.38/0.56 (step-pop @p72 :rule scope :premises (@p49)) % 0.38/0.56 (step @p50 :rule process_scope :premises (@p72) :args (@t39)) % 0.38/0.56 (step @p52 :rule eq_resolve :premises (@p50 @p47)) % 0.38/0.56 (step @p53 :rule implies_elim :premises (@p52)) % 0.38/0.56 (step @p54 :rule chain_m_resolution :premises (@p53 @p4) :args (@t42 (@list false) (@list @t11))) % 0.38/0.56 (step @p55 :rule cnf_or_neg :args (@t31 2)) % 0.38/0.56 (step @p56 :rule chain_m_resolution :premises (@p55 @p21) :args ((not @t27) @t32 @t33)) % 0.38/0.56 (step @p57 :rule bool-double-not-elim :args (@t40)) % 0.38/0.56 (step @p58 :rule refl :args (@t43)) % 0.38/0.56 (step @p59 :rule nary_cong :premises (@p58 @p44 @p57) :args ((or @t43 @t27 (not @t41)))) % 0.38/0.56 (step @p60 :rule cnf_equiv_pos2 :args (@t42)) % 0.38/0.56 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.38/0.56 (step @p62 :rule reordering :premises (@p61) :args ((or @t27 @t40 @t43))) % 0.38/0.56 (step @p63 :rule chain_m_resolution :premises (@p62 @p56 @p54) :args (@t40 (@list true false) (@list @t27 @t42))) % 0.38/0.56 (step @p64 :rule refl :args (@t22)) % 0.38/0.56 (step @p65 :rule cong :premises (@p64 @p63) :args ((tptp.member @t22 tptp.empty_set))) % 0.38/0.56 (step @p66 :rule instantiate :premises (@p2) :args ((@list @t22))) % 0.38/0.56 (step @p67 :rule false_intro :premises (@p66)) % 0.38/0.56 (step @p68 :rule symm :premises (@p67)) % 0.38/0.56 (step @p69 :rule trans :premises (@p68 @p65 @p41)) % 0.38/0.56 (step @p70 false :rule eq_resolve :premises (@p69 @p9)) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------