%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET355+4 : 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 : n003.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 08:47:50 AM UTC 2026 % Result : Theorem 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET355+4 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.14/0.34 % Computer : n003.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Tue Jun 2 15:30:14 EDT 2026 % 0.14/0.34 % CPUTime : % 0.26/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.57 % SZS status Theorem % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.empty_set $$unsorted) % 0.36/0.57 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (define @t1 () (@var "B" $$unsorted)) % 0.36/0.57 (define @t2 () (@var "X" $$unsorted)) % 0.36/0.57 (define @t3 () (tptp.member @t2 @t1)) % 0.36/0.57 (define @t4 () (@var "A" $$unsorted)) % 0.36/0.57 (define @t5 () (tptp.member @t2 @t4)) % 0.36/0.57 (define @t6 () (@list @t2)) % 0.36/0.57 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.36/0.57 (define @t8 () (tptp.subset @t4 @t1)) % 0.36/0.57 (define @t9 () (= @t8 @t7)) % 0.36/0.57 (define @t10 () (@list @t4 @t1)) % 0.36/0.57 (define @t11 () (forall @t10 @t9)) % 0.36/0.57 (define @t12 () (@list @t2 @t4)) % 0.36/0.57 (define @t13 () (@list @t2 @t4 @t1)) % 0.36/0.57 (define @t14 () (@var "E" $$unsorted)) % 0.36/0.57 (define @t15 () (= @t2 @t4)) % 0.36/0.57 (define @t16 () (@var "Y" $$unsorted)) % 0.36/0.57 (define @t17 () (tptp.member @t2 @t16)) % 0.36/0.57 (define @t18 () (tptp.member @t16 @t4)) % 0.36/0.57 (define @t19 () (and @t18 @t17)) % 0.36/0.57 (define @t20 () (@list @t16)) % 0.36/0.57 (define @t21 () (exists @t20 @t19)) % 0.36/0.57 (define @t22 () (tptp.sum @t4)) % 0.36/0.57 (define @t23 () (tptp.member @t2 @t22)) % 0.36/0.57 (define @t24 () (= @t23 @t21)) % 0.36/0.57 (define @t25 () (forall @t12 @t24)) % 0.36/0.57 (define @t26 () (tptp.subset @t2 @t22)) % 0.36/0.57 (define @t27 () (@list @t4 @t2)) % 0.36/0.57 (define @t28 () (forall @t27 (=> @t5 @t26))) % 0.36/0.57 (define @t29 () (not @t28)) % 0.36/0.57 (define @t30 () (forall @t20 (not @t19))) % 0.36/0.57 (define @t31 () (not @t30)) % 0.36/0.57 (define @t32 () (forall @t27 (or (not @t5) @t26))) % 0.36/0.57 (define @t33 () (@quantifiers_skolemize @t32 0)) % 0.36/0.57 (define @t34 () (tptp.sum @t33)) % 0.36/0.57 (define @t35 () (@quantifiers_skolemize @t32 1)) % 0.36/0.57 (define @t36 () (forall @t6 (or (not (tptp.member @t2 @t35)) (tptp.member @t2 @t34)))) % 0.36/0.57 (define @t37 () (@quantifiers_skolemize @t36 0)) % 0.36/0.57 (define @t38 () (tptp.subset @t35 @t34)) % 0.36/0.57 (define @t39 () (tptp.member @t35 @t33)) % 0.36/0.57 (define @t40 () (not @t39)) % 0.36/0.57 (define @t41 () (or @t40 @t38)) % 0.36/0.57 (define @t42 () (@list true)) % 0.36/0.57 (define @t43 () (@list @t41)) % 0.36/0.57 (define @t44 () (= @t38 @t36)) % 0.36/0.57 (define @t45 () (not @t36)) % 0.36/0.57 (define @t46 () (@list true false)) % 0.36/0.57 (define @t47 () (tptp.member @t37 @t34)) % 0.36/0.57 (define @t48 () (tptp.member @t37 @t35)) % 0.36/0.57 (define @t49 () (not @t48)) % 0.36/0.57 (define @t50 () (or @t49 @t47)) % 0.36/0.57 (define @t51 () (@list @t50)) % 0.36/0.57 (define @t52 () (forall @t20 (or (not (tptp.member @t16 @t33)) (not (tptp.member @t37 @t16))))) % 0.36/0.57 (define @t53 () (not @t52)) % 0.36/0.57 (define @t54 () (= @t47 @t53)) % 0.36/0.57 (define @t55 () (not @t54)) % 0.36/0.57 (define @t56 () (or @t40 @t49)) % 0.36/0.57 (define @t57 () (not @t56)) % 0.36/0.57 (assume @p1 @t11) % 0.36/0.57 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.36/0.58 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.36/0.58 (assume @p4 (forall @t13 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.36/0.58 (assume @p5 (forall @t13 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.36/0.58 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.36/0.58 (assume @p7 (forall (@list @t1 @t4 @t14) (= (tptp.member @t1 (tptp.difference @t14 @t4)) (and (tptp.member @t1 @t14) (not (tptp.member @t1 @t4)))))) % 0.36/0.58 (assume @p8 (forall @t12 (= (tptp.member @t2 (tptp.singleton @t4)) @t15))) % 0.36/0.58 (assume @p9 (forall @t13 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t15 (= @t2 @t1))))) % 0.36/0.58 (assume @p10 @t25) % 0.36/0.58 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t20 (=> @t18 @t17))))) % 0.36/0.58 (assume @p12 @t29) % 0.36/0.58 (assume @p13 true) % 0.36/0.58 (step @p14 :rule bool-and-de-morgan :args (@t18 @t17 true)) % 0.36/0.58 (step @p15 :rule cong :premises (@p14) :args (@t30)) % 0.36/0.58 (step @p16 :rule cong :premises (@p15) :args (@t31)) % 0.36/0.58 (step @p17 :rule exists-elim :args ((= @t21 @t31))) % 0.36/0.58 (step @p18 :rule trans :premises (@p17 @p16)) % 0.36/0.58 (step @p19 :rule refl :args (@t23)) % 0.36/0.58 (step @p20 :rule cong :premises (@p19 @p18) :args (@t24)) % 0.36/0.58 (step @p21 :rule cong :premises (@p20) :args (@t25)) % 0.36/0.58 (step @p22 :rule eq_resolve :premises (@p10 @p21)) % 0.36/0.58 (step @p23 :rule instantiate :premises (@p22) :args ((@list @t37 @t33))) % 0.36/0.58 (step @p24 :rule bool-impl-elim :args (@t5 @t3)) % 0.36/0.58 (step @p25 :rule cong :premises (@p24) :args (@t7)) % 0.36/0.58 (step @p26 :rule refl :args (@t8)) % 0.36/0.58 (step @p27 :rule cong :premises (@p26 @p25) :args (@t9)) % 0.36/0.58 (step @p28 :rule cong :premises (@p27) :args (@t11)) % 0.36/0.58 (step @p29 :rule eq_resolve :premises (@p1 @p28)) % 0.36/0.58 (step @p30 :rule instantiate :premises (@p29) :args ((@list @t35 @t34))) % 0.36/0.58 (step @p31 :rule bool-impl-elim :args (@t5 @t26)) % 0.36/0.58 (step @p32 :rule cong :premises (@p31) :args (@t28)) % 0.36/0.58 (step @p33 :rule cong :premises (@p32) :args (@t29)) % 0.36/0.58 (step @p34 :rule eq_resolve :premises (@p12 @p33)) % 0.36/0.58 (step @p35 :rule skolemize :premises (@p34)) % 0.36/0.58 (step @p36 :rule cnf_or_neg :args (@t41 1)) % 0.36/0.58 (step @p37 :rule chain_m_resolution :premises (@p36 @p35) :args ((not @t38) @t42 @t43)) % 0.36/0.58 (step @p38 :rule cnf_equiv_pos2 :args (@t44)) % 0.36/0.58 (step @p39 :rule reordering :premises (@p38) :args ((or @t38 @t45 (not @t44)))) % 0.36/0.58 (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p30) :args (@t45 @t46 (@list @t38 @t44))) % 0.36/0.58 (step @p41 :rule skolemize :premises (@p40)) % 0.36/0.58 (step @p42 :rule cnf_or_neg :args (@t50 1)) % 0.36/0.58 (step @p43 :rule chain_m_resolution :premises (@p42 @p41) :args ((not @t47) @t42 @t51)) % 0.36/0.58 (step @p44 :rule bool-double-not-elim :args (@t52)) % 0.36/0.58 (step @p45 :rule refl :args (@t47)) % 0.36/0.58 (step @p46 :rule refl :args (@t55)) % 0.36/0.58 (step @p47 :rule nary_cong :premises (@p46 @p45 @p44) :args ((or @t55 @t47 (not @t53)))) % 0.36/0.58 (step @p48 :rule cnf_equiv_pos2 :args (@t54)) % 0.36/0.58 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 0.36/0.58 (step @p50 :rule reordering :premises (@p49) :args ((or @t47 @t52 @t55))) % 0.36/0.58 (step @p51 :rule chain_m_resolution :premises (@p50 @p43 @p23) :args (@t52 @t46 (@list @t47 @t54))) % 0.36/0.58 (step @p52 :rule bool-double-not-elim :args (@t48)) % 0.36/0.58 (step @p53 :rule refl :args (@t50)) % 0.36/0.58 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or @t50 (not @t49)))) % 0.36/0.58 (step @p55 :rule cnf_or_neg :args (@t50 0)) % 0.36/0.58 (step @p56 :rule eq_resolve :premises (@p55 @p54)) % 0.36/0.58 (step @p57 :rule reordering :premises (@p56) :args ((or @t48 @t50))) % 0.36/0.58 (step @p58 :rule chain_m_resolution :premises (@p57 @p41) :args (@t48 @t42 @t51)) % 0.36/0.58 (step @p59 :rule bool-double-not-elim :args (@t39)) % 0.36/0.58 (step @p60 :rule refl :args (@t41)) % 0.36/0.58 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or @t41 (not @t40)))) % 0.36/0.58 (step @p62 :rule cnf_or_neg :args (@t41 0)) % 0.36/0.58 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 0.36/0.58 (step @p64 :rule reordering :premises (@p63) :args ((or @t39 @t41))) % 0.36/0.58 (step @p65 :rule chain_m_resolution :premises (@p64 @p35) :args (@t39 @t42 @t43)) % 0.36/0.58 (step @p66 :rule cnf_or_pos :args (@t56)) % 0.36/0.58 (step @p67 :rule reordering :premises (@p66) :args ((or @t40 @t49 @t57))) % 0.36/0.58 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p58) :args (@t57 (@list false false) (@list @t39 @t48))) % 0.36/0.58 (assume-push @p75 @t52) % 0.36/0.58 (step @p70 :rule instantiate :premises (@p51) :args ((@list @t35))) % 0.36/0.58 (step-pop @p76 :rule scope :premises (@p70)) % 0.36/0.58 (step @p71 :rule process_scope :premises (@p76) :args (@t56)) % 0.36/0.58 (step @p73 :rule implies_elim :premises (@p71)) % 0.36/0.58 (step @p74 false :rule chain_m_resolution :premises (@p73 @p68 @p51) :args (false @t46 (@list @t56 @t52))) % 0.36/0.58 ) % 0.36/0.58 % SZS output end Proof % 0.36/0.58 % cvc5 exiting %------------------------------------------------------------------------------