%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET578+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 : n022.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 0.61s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET578+3 : TPTP v9.2.1. Released v2.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n022.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % 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 16:02:53 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.61 % SZS status Theorem % 0.38/0.61 % SZS output start Proof % 0.38/0.61 ( % 0.38/0.61 (declare-sort $$unsorted 0) % 0.38/0.61 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.61 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.38/0.61 (define @t1 () (@var "C" $$unsorted)) % 0.38/0.61 (define @t2 () (@var "D" $$unsorted)) % 0.38/0.61 (define @t3 () (tptp.member @t2 @t1)) % 0.38/0.61 (define @t4 () (@var "B" $$unsorted)) % 0.38/0.61 (define @t5 () (tptp.member @t2 @t4)) % 0.38/0.61 (define @t6 () (tptp.intersection @t4 @t1)) % 0.38/0.61 (define @t7 () (@list @t4 @t1 @t2)) % 0.38/0.61 (define @t8 () (tptp.subset @t4 @t1)) % 0.38/0.61 (define @t9 () (= @t4 @t1)) % 0.38/0.61 (define @t10 () (@list @t4 @t1)) % 0.38/0.61 (define @t11 () (@list @t2)) % 0.38/0.61 (define @t12 () (forall @t10 (= @t9 (forall @t11 (= @t5 @t3))))) % 0.38/0.61 (define @t13 () (= @t4 (tptp.intersection @t1 @t2))) % 0.38/0.61 (define @t14 () (@var "E" $$unsorted)) % 0.38/0.61 (define @t15 () (@list @t14)) % 0.38/0.61 (define @t16 () (forall @t15 (= (tptp.member @t14 @t4) (and (tptp.member @t14 @t1) (tptp.member @t14 @t2))))) % 0.38/0.61 (define @t17 () (forall @t7 (=> @t16 @t13))) % 0.38/0.61 (define @t18 () (not @t17)) % 0.38/0.61 (define @t19 () (forall @t7 (or (not @t16) @t13))) % 0.38/0.61 (define @t20 () (@quantifiers_skolemize @t19 2)) % 0.38/0.61 (define @t21 () (@quantifiers_skolemize @t19 1)) % 0.38/0.61 (define @t22 () (tptp.intersection @t21 @t20)) % 0.38/0.61 (define @t23 () (tptp.member @t2 @t22)) % 0.38/0.61 (define @t24 () (@quantifiers_skolemize @t19 0)) % 0.38/0.61 (define @t25 () (tptp.member @t2 @t24)) % 0.38/0.61 (define @t26 () (forall @t11 (= @t23 @t25))) % 0.38/0.61 (define @t27 () (= (= @t22 @t24) @t26)) % 0.38/0.61 (define @t28 () (forall @t11 (= @t25 @t23))) % 0.38/0.61 (define @t29 () (= @t24 @t22)) % 0.38/0.61 (define @t30 () (= @t29 @t28)) % 0.38/0.61 (define @t31 () (forall @t15 (= (tptp.member @t14 @t24) (and (tptp.member @t14 @t21) (tptp.member @t14 @t20))))) % 0.38/0.61 (define @t32 () (not @t31)) % 0.38/0.61 (define @t33 () (or @t32 @t29)) % 0.38/0.61 (define @t34 () (@list true)) % 0.38/0.61 (define @t35 () (@list @t33)) % 0.38/0.61 (define @t36 () (not @t28)) % 0.38/0.61 (define @t37 () (@quantifiers_skolemize @t28 0)) % 0.38/0.61 (define @t38 () (and (tptp.member @t37 @t21) (tptp.member @t37 @t20))) % 0.38/0.61 (define @t39 () (tptp.member @t37 @t22)) % 0.38/0.61 (define @t40 () (= @t39 @t38)) % 0.38/0.61 (define @t41 () (not @t40)) % 0.38/0.61 (define @t42 () (tptp.member @t37 @t24)) % 0.38/0.61 (define @t43 () (= @t42 @t38)) % 0.38/0.61 (define @t44 () (not @t43)) % 0.38/0.61 (define @t45 () (= @t42 @t39)) % 0.38/0.61 (define @t46 () (not @t38)) % 0.38/0.61 (define @t47 () (@list false false)) % 0.38/0.61 (assume @p1 (forall @t7 (= (tptp.member @t2 @t6) (and @t5 @t3)))) % 0.38/0.61 (assume @p2 (forall @t10 (= @t9 (and @t8 (tptp.subset @t1 @t4))))) % 0.38/0.61 (assume @p3 (forall @t10 (= @t6 (tptp.intersection @t1 @t4)))) % 0.38/0.61 (assume @p4 (forall @t10 (= @t8 (forall @t11 (=> @t5 @t3))))) % 0.38/0.61 (assume @p5 (forall (@list @t4) (tptp.subset @t4 @t4))) % 0.38/0.61 (assume @p6 @t12) % 0.38/0.61 (assume @p7 @t18) % 0.38/0.61 (assume @p8 true) % 0.38/0.61 (step @p9 :rule eq-symm :args (@t23 @t25)) % 0.38/0.61 (step @p10 :rule cong :premises (@p9) :args (@t26)) % 0.38/0.61 (step @p11 :rule eq-symm :args (@t22 @t24)) % 0.38/0.61 (step @p12 :rule cong :premises (@p11 @p10) :args (@t27)) % 0.38/0.61 (step @p13 :rule refl :args (@t12)) % 0.38/0.61 (step @p14 :rule cong :premises (@p13 @p12) :args ((=> @t12 @t27))) % 0.38/0.61 (assume-push @p57 @t12) % 0.38/0.61 (step @p16 :rule instantiate :premises (@p6) :args ((@list @t22 @t24))) % 0.38/0.61 (step-pop @p58 :rule scope :premises (@p16)) % 0.38/0.61 (step @p17 :rule process_scope :premises (@p58) :args (@t27)) % 0.38/0.61 (step @p19 :rule eq_resolve :premises (@p17 @p14)) % 0.38/0.61 (step @p20 :rule implies_elim :premises (@p19)) % 0.38/0.61 (step @p21 :rule chain_m_resolution :premises (@p20 @p6) :args (@t30 (@list false) (@list @t12))) % 0.38/0.61 (step @p22 :rule bool-impl-elim :args (@t16 @t13)) % 0.38/0.61 (step @p23 :rule cong :premises (@p22) :args (@t17)) % 0.38/0.61 (step @p24 :rule cong :premises (@p23) :args (@t18)) % 0.38/0.61 (step @p25 :rule eq_resolve :premises (@p7 @p24)) % 0.38/0.61 (step @p26 :rule skolemize :premises (@p25)) % 0.38/0.61 (step @p27 :rule cnf_or_neg :args (@t33 1)) % 0.38/0.61 (step @p28 :rule chain_m_resolution :premises (@p27 @p26) :args ((not @t29) @t34 @t35)) % 0.38/0.61 (step @p29 :rule cnf_equiv_pos2 :args (@t30)) % 0.38/0.61 (step @p30 :rule reordering :premises (@p29) :args ((or @t29 @t36 (not @t30)))) % 0.38/0.61 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p21) :args (@t36 (@list true false) (@list @t29 @t30))) % 0.38/0.61 (step @p32 :rule skolemize :premises (@p31)) % 0.38/0.61 (step @p33 :rule instantiate :premises (@p1) :args ((@list @t21 @t20 @t37))) % 0.38/0.61 (step @p34 :rule cnf_equiv_pos1 :args (@t40)) % 0.38/0.61 (step @p35 :rule reordering :premises (@p34) :args ((or (not @t39) @t38 @t41))) % 0.38/0.61 (step @p36 :rule bool-double-not-elim :args (@t31)) % 0.38/0.61 (step @p37 :rule refl :args (@t33)) % 0.38/0.61 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t33 (not @t32)))) % 0.38/0.61 (step @p39 :rule cnf_or_neg :args (@t33 0)) % 0.38/0.61 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 0.38/0.61 (step @p41 :rule reordering :premises (@p40) :args ((or @t31 @t33))) % 0.38/0.61 (step @p42 :rule chain_m_resolution :premises (@p41 @p26) :args (@t31 @t34 @t35)) % 0.38/0.61 (step @p43 :rule instantiate :premises (@p42) :args ((@list @t37))) % 0.38/0.61 (step @p44 :rule cnf_equiv_pos1 :args (@t43)) % 0.38/0.61 (step @p45 :rule reordering :premises (@p44) :args ((or (not @t42) @t38 @t44))) % 0.38/0.61 (step @p46 :rule cnf_equiv_neg1 :args (@t45)) % 0.38/0.61 (step @p47 :rule reordering :premises (@p46) :args ((or @t42 @t39 @t45))) % 0.38/0.61 (step @p48 :rule chain_m_resolution :premises (@p47 @p32 @p45 @p43 @p35 @p33) :args (@t38 (@list true true false true false) (@list @t45 @t42 @t43 @t39 @t40))) % 0.38/0.61 (step @p49 :rule cnf_equiv_pos2 :args (@t40)) % 0.38/0.61 (step @p50 :rule reordering :premises (@p49) :args ((or @t39 @t46 @t41))) % 0.38/0.61 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p33) :args (@t39 @t47 (@list @t38 @t40))) % 0.38/0.61 (step @p52 :rule cnf_equiv_pos2 :args (@t43)) % 0.38/0.61 (step @p53 :rule reordering :premises (@p52) :args ((or @t42 @t46 @t44))) % 0.38/0.61 (step @p54 :rule chain_m_resolution :premises (@p53 @p48 @p43) :args (@t42 @t47 (@list @t38 @t43))) % 0.38/0.61 (step @p55 :rule cnf_equiv_neg2 :args (@t45)) % 0.38/0.61 (step @p56 false :rule chain_m_resolution :premises (@p55 @p54 @p51 @p32) :args (false (@list false false true) (@list @t42 @t39 @t45))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------