%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET173+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 08:47:34 AM UTC 2026 % Result : Theorem 0.36s 0.59s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET173+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 15:07:16 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.59 % SZS status Theorem % 0.36/0.59 % SZS output start Proof % 0.36/0.59 ( % 0.36/0.59 (declare-sort $$unsorted 0) % 0.36/0.59 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.36/0.59 (define @t1 () (@var "C" $$unsorted)) % 0.36/0.59 (define @t2 () (@var "D" $$unsorted)) % 0.36/0.59 (define @t3 () (tptp.member @t2 @t1)) % 0.36/0.59 (define @t4 () (@var "B" $$unsorted)) % 0.36/0.59 (define @t5 () (tptp.member @t2 @t4)) % 0.36/0.59 (define @t6 () (tptp.union @t4 @t1)) % 0.36/0.59 (define @t7 () (@list @t4 @t1 @t2)) % 0.36/0.59 (define @t8 () (tptp.intersection @t4 @t1)) % 0.36/0.59 (define @t9 () (tptp.subset @t4 @t1)) % 0.36/0.59 (define @t10 () (= @t4 @t1)) % 0.36/0.59 (define @t11 () (@list @t4 @t1)) % 0.36/0.59 (define @t12 () (@list @t2)) % 0.36/0.59 (define @t13 () (tptp.intersection @t4 @t6)) % 0.36/0.59 (define @t14 () (forall @t11 (= @t13 @t4))) % 0.36/0.59 (define @t15 () (not @t14)) % 0.36/0.59 (define @t16 () (forall @t11 (= @t4 @t13))) % 0.36/0.59 (define @t17 () (@quantifiers_skolemize @t16 1)) % 0.36/0.59 (define @t18 () (@quantifiers_skolemize @t16 0)) % 0.36/0.59 (define @t19 () (tptp.union @t18 @t17)) % 0.36/0.59 (define @t20 () (tptp.intersection @t18 @t19)) % 0.36/0.59 (define @t21 () (forall @t12 (= (tptp.member @t2 @t18) (tptp.member @t2 @t20)))) % 0.36/0.59 (define @t22 () (@quantifiers_skolemize @t21 0)) % 0.36/0.59 (define @t23 () (tptp.member @t22 @t18)) % 0.36/0.59 (define @t24 () (tptp.member @t22 @t19)) % 0.36/0.59 (define @t25 () (and @t24 @t23)) % 0.36/0.59 (define @t26 () (tptp.intersection @t19 @t18)) % 0.36/0.59 (define @t27 () (tptp.member @t22 @t26)) % 0.36/0.59 (define @t28 () (= @t27 @t25)) % 0.36/0.59 (define @t29 () (not @t28)) % 0.36/0.59 (define @t30 () (not @t27)) % 0.36/0.59 (define @t31 () (not @t25)) % 0.36/0.59 (define @t32 () (= @t18 @t20)) % 0.36/0.59 (define @t33 () (= @t32 @t21)) % 0.36/0.59 (define @t34 () (not @t21)) % 0.36/0.59 (define @t35 () (@list true false)) % 0.36/0.59 (define @t36 () (tptp.member @t22 @t20)) % 0.36/0.59 (define @t37 () (= @t23 @t36)) % 0.36/0.59 (define @t38 () (= @t20 @t26)) % 0.36/0.59 (define @t39 () (and @t38 @t27)) % 0.36/0.59 (define @t40 () (not @t38)) % 0.36/0.59 (define @t41 () (not @t36)) % 0.36/0.59 (define @t42 () (and @t38 @t30)) % 0.36/0.59 (define @t43 () (not @t24)) % 0.36/0.60 (define @t44 () (not @t23)) % 0.36/0.60 (define @t45 () (or @t23 (tptp.member @t22 @t17))) % 0.36/0.60 (define @t46 () (= @t24 @t45)) % 0.36/0.60 (assume @p1 (forall @t7 (= (tptp.member @t2 @t6) (or @t5 @t3)))) % 0.36/0.60 (assume @p2 (forall @t7 (= (tptp.member @t2 @t8) (and @t5 @t3)))) % 0.36/0.60 (assume @p3 (forall @t11 (= @t10 (and @t9 (tptp.subset @t1 @t4))))) % 0.36/0.60 (assume @p4 (forall @t11 (= @t6 (tptp.union @t1 @t4)))) % 0.36/0.60 (assume @p5 (forall @t11 (= @t8 (tptp.intersection @t1 @t4)))) % 0.36/0.60 (assume @p6 (forall @t11 (= @t9 (forall @t12 (=> @t5 @t3))))) % 0.36/0.60 (assume @p7 (forall (@list @t4) (tptp.subset @t4 @t4))) % 0.36/0.60 (assume @p8 (forall @t11 (= @t10 (forall @t12 (= @t5 @t3))))) % 0.36/0.60 (assume @p9 @t15) % 0.36/0.60 (assume @p10 true) % 0.36/0.60 (step @p11 :rule instantiate :premises (@p2) :args ((@list @t19 @t18 @t22))) % 0.36/0.60 (step @p12 :rule cnf_equiv_pos1 :args (@t28)) % 0.36/0.60 (step @p13 :rule reordering :premises (@p12) :args ((or @t25 @t30 @t29))) % 0.36/0.60 (step @p14 :rule cnf_and_pos :args (@t25 1)) % 0.36/0.60 (step @p15 :rule reordering :premises (@p14) :args ((or @t23 @t31))) % 0.36/0.60 (step @p16 :rule instantiate :premises (@p8) :args ((@list @t18 @t20))) % 0.36/0.60 (step @p17 :rule eq-symm :args (@t13 @t4)) % 0.36/0.60 (step @p18 :rule cong :premises (@p17) :args (@t14)) % 0.36/0.60 (step @p19 :rule cong :premises (@p18) :args (@t15)) % 0.36/0.60 (step @p20 :rule eq_resolve :premises (@p9 @p19)) % 0.36/0.60 (step @p21 :rule skolemize :premises (@p20)) % 0.36/0.60 (step @p22 :rule cnf_equiv_pos2 :args (@t33)) % 0.36/0.60 (step @p23 :rule reordering :premises (@p22) :args ((or @t32 @t34 (not @t33)))) % 0.36/0.60 (step @p24 :rule chain_m_resolution :premises (@p23 @p21 @p16) :args (@t34 @t35 (@list @t32 @t33))) % 0.36/0.60 (step @p25 :rule skolemize :premises (@p24)) % 0.36/0.60 (step @p26 :rule cnf_equiv_neg2 :args (@t37)) % 0.36/0.60 (step @p27 :rule instantiate :premises (@p5) :args ((@list @t18 @t19))) % 0.36/0.60 (assume-push @p91 @t38) % 0.36/0.60 (assume-push @p92 @t27) % 0.36/0.60 (assume-push @p93 @t27) % 0.36/0.60 (assume-push @p94 @t38) % 0.36/0.60 (step @p32 :rule true_intro :premises (@p92)) % 0.36/0.60 (step @p33 :rule refl :args (@t22)) % 0.36/0.60 (step @p34 :rule cong :premises (@p33 @p27) :args (@t36)) % 0.36/0.60 (step @p35 :rule trans :premises (@p34 @p32)) % 0.36/0.60 (step @p36 :rule true_elim :premises (@p35)) % 0.36/0.60 (step-pop @p95 :rule scope :premises (@p36)) % 0.36/0.60 (step-pop @p96 :rule scope :premises (@p95)) % 0.36/0.60 (step @p37 :rule process_scope :premises (@p96) :args (@t36)) % 0.36/0.60 (step @p40 :rule and_intro :premises (@p92 @p27)) % 0.36/0.60 (step @p41 :rule modus_ponens :premises (@p40 @p37)) % 0.36/0.60 (step-pop @p97 :rule scope :premises (@p41)) % 0.36/0.60 (step-pop @p98 :rule scope :premises (@p97)) % 0.36/0.60 (step @p42 :rule process_scope :premises (@p98) :args (@t36)) % 0.36/0.60 (step @p45 :rule implies_elim :premises (@p42)) % 0.36/0.60 (step @p46 :rule cnf_and_neg :args (@t39)) % 0.36/0.60 (step @p47 :rule resolution :premises (@p46 @p45) :args (true @t39)) % 0.36/0.60 (step @p48 :rule reordering :premises (@p47) :args ((or @t40 @t36 @t30))) % 0.36/0.60 (step @p49 :rule chain_m_resolution :premises (@p48 @p27 @p26 @p25 @p15 @p13 @p11) :args (@t30 (@list false true true false false false) (@list @t38 @t36 @t37 @t23 @t25 @t28))) % 0.36/0.60 (step @p50 :rule cnf_equiv_pos2 :args (@t28)) % 0.36/0.60 (step @p51 :rule reordering :premises (@p50) :args ((or @t27 @t31 @t29))) % 0.36/0.60 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p11) :args (@t31 @t35 (@list @t27 @t28))) % 0.36/0.60 (step @p53 :rule refl :args (@t41)) % 0.36/0.60 (step @p54 :rule bool-double-not-elim :args (@t27)) % 0.36/0.60 (step @p55 :rule refl :args (@t40)) % 0.36/0.60 (step @p56 :rule nary_cong :premises (@p55 @p54 @p53) :args ((or @t40 (not @t30) @t41))) % 0.36/0.60 (assume-push @p99 @t38) % 0.36/0.60 (assume-push @p100 @t30) % 0.36/0.60 (assume-push @p101 @t30) % 0.36/0.60 (assume-push @p102 @t38) % 0.36/0.60 (step @p61 :rule false_intro :premises (@p100)) % 0.36/0.60 (step @p33 :rule refl :args (@t22)) % 0.36/0.60 (step @p34 :rule cong :premises (@p33 @p27) :args (@t36)) % 0.36/0.60 (step @p62 :rule trans :premises (@p34 @p61)) % 0.36/0.60 (step @p63 :rule false_elim :premises (@p62)) % 0.36/0.60 (step-pop @p103 :rule scope :premises (@p63)) % 0.36/0.60 (step-pop @p104 :rule scope :premises (@p103)) % 0.36/0.60 (step @p64 :rule process_scope :premises (@p104) :args (@t41)) % 0.36/0.60 (step @p67 :rule and_intro :premises (@p100 @p27)) % 0.36/0.60 (step @p68 :rule modus_ponens :premises (@p67 @p64)) % 0.36/0.60 (step-pop @p105 :rule scope :premises (@p68)) % 0.36/0.60 (step-pop @p106 :rule scope :premises (@p105)) % 0.36/0.60 (step @p69 :rule process_scope :premises (@p106) :args (@t41)) % 0.36/0.60 (step @p72 :rule implies_elim :premises (@p69)) % 0.36/0.60 (step @p73 :rule cnf_and_neg :args (@t42)) % 0.36/0.60 (step @p74 :rule resolution :premises (@p73 @p72) :args (true @t42)) % 0.36/0.60 (step @p75 :rule eq_resolve :premises (@p74 @p56)) % 0.36/0.60 (step @p76 :rule reordering :premises (@p75) :args ((or @t40 @t41 @t27))) % 0.36/0.60 (step @p77 :rule chain_m_resolution :premises (@p76 @p49 @p27) :args (@t41 @t35 (@list @t27 @t38))) % 0.36/0.60 (step @p78 :rule cnf_equiv_neg1 :args (@t37)) % 0.36/0.60 (step @p79 :rule reordering :premises (@p78) :args ((or @t23 @t36 @t37))) % 0.36/0.60 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p25) :args (@t23 (@list true true) (@list @t36 @t37))) % 0.36/0.60 (step @p81 :rule cnf_and_neg :args (@t25)) % 0.36/0.60 (step @p82 :rule reordering :premises (@p81) :args ((or @t44 @t25 @t43))) % 0.36/0.60 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p52) :args (@t43 (@list false true) (@list @t23 @t25))) % 0.36/0.60 (step @p84 :rule cnf_or_neg :args (@t45 0)) % 0.36/0.60 (step @p85 :rule reordering :premises (@p84) :args ((or @t44 @t45))) % 0.36/0.60 (step @p86 :rule chain_m_resolution :premises (@p85 @p80) :args (@t45 (@list false) (@list @t23))) % 0.36/0.60 (step @p87 :rule instantiate :premises (@p1) :args ((@list @t18 @t17 @t22))) % 0.36/0.60 (step @p88 :rule cnf_equiv_pos2 :args (@t46)) % 0.36/0.60 (step @p89 :rule reordering :premises (@p88) :args ((or @t24 (not @t45) (not @t46)))) % 0.36/0.60 (step @p90 false :rule chain_m_resolution :premises (@p89 @p87 @p86 @p83) :args (false (@list false false true) (@list @t46 @t45 @t24))) % 0.36/0.60 ) % 0.36/0.60 % SZS output end Proof % 0.36/0.60 % cvc5 exiting %------------------------------------------------------------------------------