%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET183+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 : n014.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 08:47:35 AM UTC 2026 % Result : Theorem 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET183+3 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n014.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 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 15:08:28 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.56 % SZS status Theorem % 0.36/0.56 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (declare-sort $$unsorted 0) % 0.36/0.56 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.56 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.36/0.56 (define @t1 () (@var "C" $$unsorted)) % 0.36/0.56 (define @t2 () (@var "D" $$unsorted)) % 0.36/0.56 (define @t3 () (tptp.member @t2 @t1)) % 0.36/0.56 (define @t4 () (@var "B" $$unsorted)) % 0.36/0.56 (define @t5 () (tptp.member @t2 @t4)) % 0.36/0.56 (define @t6 () (tptp.intersection @t4 @t1)) % 0.36/0.56 (define @t7 () (@list @t4 @t1)) % 0.36/0.56 (define @t8 () (@list @t2)) % 0.36/0.56 (define @t9 () (forall @t8 (=> @t5 @t3))) % 0.36/0.56 (define @t10 () (tptp.subset @t4 @t1)) % 0.36/0.56 (define @t11 () (= @t10 @t9)) % 0.36/0.56 (define @t12 () (forall @t7 @t11)) % 0.36/0.56 (define @t13 () (= @t4 @t1)) % 0.36/0.56 (define @t14 () (forall @t7 (= @t13 (and @t10 (tptp.subset @t1 @t4))))) % 0.36/0.56 (define @t15 () (=> @t10 (= @t6 @t4))) % 0.36/0.56 (define @t16 () (forall @t7 @t15)) % 0.36/0.56 (define @t17 () (not @t16)) % 0.36/0.56 (define @t18 () (= @t4 @t6)) % 0.36/0.56 (define @t19 () (forall @t7 (or (not @t10) @t18))) % 0.36/0.56 (define @t20 () (@quantifiers_skolemize @t19 1)) % 0.36/0.56 (define @t21 () (@quantifiers_skolemize @t19 0)) % 0.36/0.56 (define @t22 () (tptp.intersection @t21 @t20)) % 0.36/0.56 (define @t23 () (tptp.subset @t21 @t22)) % 0.36/0.56 (define @t24 () (tptp.subset @t22 @t21)) % 0.36/0.56 (define @t25 () (and @t24 @t23)) % 0.36/0.56 (define @t26 () (= (= @t22 @t21) @t25)) % 0.36/0.56 (define @t27 () (= @t21 @t22)) % 0.36/0.56 (define @t28 () (= @t27 @t25)) % 0.36/0.56 (define @t29 () (tptp.subset @t21 @t20)) % 0.36/0.56 (define @t30 () (not @t29)) % 0.36/0.56 (define @t31 () (or @t30 @t27)) % 0.36/0.56 (define @t32 () (@list true)) % 0.36/0.56 (define @t33 () (@list @t31)) % 0.36/0.56 (define @t34 () (not @t25)) % 0.36/0.56 (define @t35 () (@list true false)) % 0.36/0.56 (define @t36 () (@list @t21 @t20)) % 0.36/0.56 (define @t37 () (not @t23)) % 0.36/0.56 (define @t38 () (not (tptp.member @t2 @t21))) % 0.36/0.56 (define @t39 () (forall @t8 (or @t38 (tptp.member @t2 @t22)))) % 0.36/0.56 (define @t40 () (= @t23 @t39)) % 0.36/0.56 (define @t41 () (not @t39)) % 0.36/0.56 (define @t42 () (@quantifiers_skolemize @t39 0)) % 0.36/0.56 (define @t43 () (tptp.member @t42 @t21)) % 0.36/0.56 (define @t44 () (tptp.member @t42 @t22)) % 0.36/0.56 (define @t45 () (not @t43)) % 0.36/0.56 (define @t46 () (or @t45 @t44)) % 0.36/0.56 (define @t47 () (@list @t46)) % 0.36/0.56 (define @t48 () (tptp.member @t42 @t20)) % 0.36/0.56 (define @t49 () (and @t43 @t48)) % 0.36/0.56 (define @t50 () (= @t44 @t49)) % 0.36/0.56 (define @t51 () (not @t49)) % 0.36/0.56 (define @t52 () (forall @t8 (or @t38 (tptp.member @t2 @t20)))) % 0.36/0.56 (define @t53 () (= @t29 @t52)) % 0.36/0.56 (define @t54 () (@list false false)) % 0.36/0.56 (define @t55 () (or @t45 @t48)) % 0.36/0.56 (assume @p1 (forall (@list @t4 @t1 @t2) (= (tptp.member @t2 @t6) (and @t5 @t3)))) % 0.36/0.56 (assume @p2 (forall @t7 (tptp.subset @t6 @t4))) % 0.36/0.56 (assume @p3 @t12) % 0.36/0.56 (assume @p4 @t14) % 0.36/0.56 (assume @p5 (forall @t7 (= @t6 (tptp.intersection @t1 @t4)))) % 0.36/0.56 (assume @p6 (forall (@list @t4) (tptp.subset @t4 @t4))) % 0.36/0.56 (assume @p7 (forall @t7 (= @t13 (forall @t8 (= @t5 @t3))))) % 0.36/0.56 (assume @p8 @t17) % 0.36/0.56 (assume @p9 true) % 0.36/0.56 (step @p10 :rule bool-impl-elim :args (@t5 @t3)) % 0.36/0.56 (step @p11 :rule cong :premises (@p10) :args (@t9)) % 0.36/0.56 (step @p12 :rule refl :args (@t10)) % 0.36/0.56 (step @p13 :rule cong :premises (@p12 @p11) :args (@t11)) % 0.36/0.56 (step @p14 :rule cong :premises (@p13) :args (@t12)) % 0.36/0.56 (step @p15 :rule eq_resolve :premises (@p3 @p14)) % 0.36/0.56 (step @p16 :rule instantiate :premises (@p15) :args ((@list @t21 @t22))) % 0.36/0.56 (step @p17 :rule refl :args (@t25)) % 0.36/0.56 (step @p18 :rule eq-symm :args (@t22 @t21)) % 0.36/0.56 (step @p19 :rule cong :premises (@p18 @p17) :args (@t26)) % 0.36/0.56 (step @p20 :rule refl :args (@t14)) % 0.36/0.56 (step @p21 :rule cong :premises (@p20 @p19) :args ((=> @t14 @t26))) % 0.36/0.56 (assume-push @p82 @t14) % 0.36/0.56 (step @p23 :rule instantiate :premises (@p4) :args ((@list @t22 @t21))) % 0.36/0.56 (step-pop @p83 :rule scope :premises (@p23)) % 0.36/0.56 (step @p24 :rule process_scope :premises (@p83) :args (@t26)) % 0.36/0.56 (step @p26 :rule eq_resolve :premises (@p24 @p21)) % 0.36/0.56 (step @p27 :rule implies_elim :premises (@p26)) % 0.36/0.56 (step @p28 :rule chain_m_resolution :premises (@p27 @p4) :args (@t28 (@list false) (@list @t14))) % 0.36/0.56 (step @p29 :rule bool-impl-elim :args (@t10 @t18)) % 0.36/0.56 (step @p30 :rule cong :premises (@p29) :args ((forall @t7 (=> @t10 @t18)))) % 0.36/0.56 (step @p31 :rule eq-symm :args (@t6 @t4)) % 0.36/0.56 (step @p32 :rule cong :premises (@p12 @p31) :args (@t15)) % 0.36/0.56 (step @p33 :rule cong :premises (@p32) :args (@t16)) % 0.36/0.56 (step @p34 :rule trans :premises (@p33 @p30)) % 0.36/0.56 (step @p35 :rule cong :premises (@p34) :args (@t17)) % 0.36/0.56 (step @p36 :rule eq_resolve :premises (@p8 @p35)) % 0.36/0.56 (step @p37 :rule skolemize :premises (@p36)) % 0.36/0.56 (step @p38 :rule cnf_or_neg :args (@t31 1)) % 0.36/0.56 (step @p39 :rule chain_m_resolution :premises (@p38 @p37) :args ((not @t27) @t32 @t33)) % 0.36/0.56 (step @p40 :rule cnf_equiv_pos2 :args (@t28)) % 0.36/0.56 (step @p41 :rule reordering :premises (@p40) :args ((or @t27 @t34 (not @t28)))) % 0.36/0.56 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p28) :args (@t34 @t35 (@list @t27 @t28))) % 0.36/0.56 (step @p43 :rule instantiate :premises (@p2) :args (@t36)) % 0.36/0.56 (step @p44 :rule cnf_and_neg :args (@t25)) % 0.36/0.56 (step @p45 :rule reordering :premises (@p44) :args ((or (not @t24) @t25 @t37))) % 0.36/0.56 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p42) :args (@t37 (@list false true) (@list @t24 @t25))) % 0.36/0.56 (step @p47 :rule cnf_equiv_pos2 :args (@t40)) % 0.36/0.56 (step @p48 :rule reordering :premises (@p47) :args ((or @t23 @t41 (not @t40)))) % 0.36/0.56 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p16) :args (@t41 @t35 (@list @t23 @t40))) % 0.36/0.56 (step @p50 :rule skolemize :premises (@p49)) % 0.36/0.56 (step @p51 :rule bool-double-not-elim :args (@t43)) % 0.36/0.56 (step @p52 :rule refl :args (@t46)) % 0.36/0.56 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t46 (not @t45)))) % 0.36/0.56 (step @p54 :rule cnf_or_neg :args (@t46 0)) % 0.36/0.56 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 0.36/0.56 (step @p56 :rule reordering :premises (@p55) :args ((or @t43 @t46))) % 0.36/0.56 (step @p57 :rule chain_m_resolution :premises (@p56 @p50) :args (@t43 @t32 @t47)) % 0.36/0.56 (step @p58 :rule instantiate :premises (@p1) :args ((@list @t21 @t20 @t42))) % 0.36/0.56 (step @p59 :rule cnf_or_neg :args (@t46 1)) % 0.36/0.56 (step @p60 :rule chain_m_resolution :premises (@p59 @p50) :args ((not @t44) @t32 @t47)) % 0.36/0.56 (step @p61 :rule cnf_equiv_pos2 :args (@t50)) % 0.36/0.56 (step @p62 :rule reordering :premises (@p61) :args ((or @t44 @t51 (not @t50)))) % 0.36/0.56 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p58) :args (@t51 @t35 (@list @t44 @t50))) % 0.36/0.56 (step @p64 :rule instantiate :premises (@p15) :args (@t36)) % 0.36/0.56 (step @p65 :rule bool-double-not-elim :args (@t29)) % 0.36/0.56 (step @p66 :rule refl :args (@t31)) % 0.36/0.56 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or @t31 (not @t30)))) % 0.36/0.56 (step @p68 :rule cnf_or_neg :args (@t31 0)) % 0.36/0.56 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.36/0.56 (step @p70 :rule reordering :premises (@p69) :args ((or @t29 @t31))) % 0.36/0.56 (step @p71 :rule chain_m_resolution :premises (@p70 @p37) :args (@t29 @t32 @t33)) % 0.36/0.56 (step @p72 :rule cnf_equiv_pos1 :args (@t53)) % 0.36/0.56 (step @p73 :rule reordering :premises (@p72) :args ((or @t30 @t52 (not @t53)))) % 0.36/0.56 (step @p74 :rule chain_m_resolution :premises (@p73 @p71 @p64) :args (@t52 @t54 (@list @t29 @t53))) % 0.36/0.56 (step @p75 :rule instantiate :premises (@p74) :args ((@list @t42))) % 0.36/0.56 (step @p76 :rule cnf_or_pos :args (@t55)) % 0.36/0.56 (step @p77 :rule reordering :premises (@p76) :args ((or @t45 @t48 (not @t55)))) % 0.36/0.56 (step @p78 :rule chain_m_resolution :premises (@p77 @p57 @p75) :args (@t48 @t54 (@list @t43 @t55))) % 0.36/0.56 (step @p79 :rule cnf_and_neg :args (@t49)) % 0.36/0.56 (step @p80 :rule reordering :premises (@p79) :args ((or @t45 @t49 (not @t48)))) % 0.36/0.56 (step @p81 false :rule chain_m_resolution :premises (@p80 @p78 @p63 @p57) :args (false (@list false true false) (@list @t48 @t49 @t43))) % 0.36/0.56 ) % 0.36/0.56 % SZS output end Proof % 0.36/0.56 % cvc5 exiting %------------------------------------------------------------------------------