%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET704+4 : 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 : n004.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 08:48:28 AM UTC 2026 % Result : Theorem 0.30s 0.55s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET704+4 : TPTP v9.2.1. Released v2.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n004.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 16:09:52 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort $$unsorted 0) % 0.30/0.55 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.empty_set $$unsorted) % 0.30/0.55 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (define @t1 () (@var "B" $$unsorted)) % 0.30/0.55 (define @t2 () (@var "X" $$unsorted)) % 0.30/0.55 (define @t3 () (tptp.member @t2 @t1)) % 0.30/0.55 (define @t4 () (@var "A" $$unsorted)) % 0.30/0.55 (define @t5 () (tptp.member @t2 @t4)) % 0.30/0.55 (define @t6 () (@list @t2)) % 0.30/0.55 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.30/0.55 (define @t8 () (tptp.subset @t4 @t1)) % 0.30/0.55 (define @t9 () (= @t8 @t7)) % 0.30/0.55 (define @t10 () (@list @t4 @t1)) % 0.30/0.55 (define @t11 () (forall @t10 @t9)) % 0.30/0.55 (define @t12 () (@list @t2 @t4)) % 0.30/0.55 (define @t13 () (@list @t2 @t4 @t1)) % 0.30/0.55 (define @t14 () (@var "E" $$unsorted)) % 0.30/0.55 (define @t15 () (= @t2 @t4)) % 0.30/0.55 (define @t16 () (@var "Y" $$unsorted)) % 0.30/0.55 (define @t17 () (tptp.member @t2 @t16)) % 0.30/0.55 (define @t18 () (tptp.member @t16 @t4)) % 0.30/0.55 (define @t19 () (@list @t16)) % 0.30/0.55 (define @t20 () (forall @t19 (=> @t18 @t17))) % 0.30/0.55 (define @t21 () (tptp.product @t4)) % 0.30/0.55 (define @t22 () (tptp.member @t2 @t21)) % 0.30/0.55 (define @t23 () (= @t22 @t20)) % 0.30/0.55 (define @t24 () (forall @t12 @t23)) % 0.30/0.55 (define @t25 () (tptp.subset @t21 @t2)) % 0.30/0.55 (define @t26 () (@list @t4 @t2)) % 0.30/0.55 (define @t27 () (forall @t26 (=> @t5 @t25))) % 0.30/0.55 (define @t28 () (not @t27)) % 0.30/0.55 (define @t29 () (forall @t26 (or (not @t5) @t25))) % 0.30/0.55 (define @t30 () (@quantifiers_skolemize @t29 0)) % 0.30/0.55 (define @t31 () (@quantifiers_skolemize @t29 1)) % 0.30/0.55 (define @t32 () (tptp.product @t30)) % 0.30/0.55 (define @t33 () (forall @t6 (or (not (tptp.member @t2 @t32)) (tptp.member @t2 @t31)))) % 0.30/0.55 (define @t34 () (@quantifiers_skolemize @t33 0)) % 0.30/0.55 (define @t35 () (tptp.subset @t32 @t31)) % 0.30/0.55 (define @t36 () (tptp.member @t31 @t30)) % 0.30/0.55 (define @t37 () (not @t36)) % 0.30/0.55 (define @t38 () (or @t37 @t35)) % 0.30/0.55 (define @t39 () (@list true)) % 0.30/0.55 (define @t40 () (@list @t38)) % 0.30/0.55 (define @t41 () (= @t35 @t33)) % 0.30/0.55 (define @t42 () (not @t33)) % 0.30/0.55 (define @t43 () (@list true false)) % 0.30/0.55 (define @t44 () (tptp.member @t34 @t32)) % 0.30/0.55 (define @t45 () (tptp.member @t34 @t31)) % 0.30/0.55 (define @t46 () (not @t44)) % 0.30/0.55 (define @t47 () (or @t46 @t45)) % 0.30/0.55 (define @t48 () (@list @t47)) % 0.30/0.55 (define @t49 () (forall @t19 (or (not (tptp.member @t16 @t30)) (tptp.member @t34 @t16)))) % 0.30/0.55 (define @t50 () (= @t44 @t49)) % 0.30/0.55 (define @t51 () (or @t37 @t45)) % 0.30/0.55 (define @t52 () (not @t51)) % 0.30/0.55 (assume @p1 @t11) % 0.30/0.55 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.30/0.55 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.30/0.55 (assume @p4 (forall @t13 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.30/0.55 (assume @p5 (forall @t13 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.30/0.55 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.30/0.55 (assume @p7 (forall (@list @t1 @t4 @t14) (= (tptp.member @t1 (tptp.difference @t14 @t4)) (and (tptp.member @t1 @t14) (not (tptp.member @t1 @t4)))))) % 0.30/0.55 (assume @p8 (forall @t12 (= (tptp.member @t2 (tptp.singleton @t4)) @t15))) % 0.30/0.55 (assume @p9 (forall @t13 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t15 (= @t2 @t1))))) % 0.30/0.55 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t19 (and @t18 @t17))))) % 0.30/0.55 (assume @p11 @t24) % 0.30/0.55 (assume @p12 @t28) % 0.30/0.55 (assume @p13 true) % 0.30/0.55 (step @p14 :rule bool-impl-elim :args (@t18 @t17)) % 0.30/0.55 (step @p15 :rule cong :premises (@p14) :args (@t20)) % 0.30/0.55 (step @p16 :rule refl :args (@t22)) % 0.30/0.55 (step @p17 :rule cong :premises (@p16 @p15) :args (@t23)) % 0.30/0.55 (step @p18 :rule cong :premises (@p17) :args (@t24)) % 0.30/0.55 (step @p19 :rule eq_resolve :premises (@p11 @p18)) % 0.39/0.55 (step @p20 :rule instantiate :premises (@p19) :args ((@list @t34 @t30))) % 0.39/0.55 (step @p21 :rule bool-impl-elim :args (@t5 @t3)) % 0.39/0.55 (step @p22 :rule cong :premises (@p21) :args (@t7)) % 0.39/0.55 (step @p23 :rule refl :args (@t8)) % 0.39/0.55 (step @p24 :rule cong :premises (@p23 @p22) :args (@t9)) % 0.39/0.55 (step @p25 :rule cong :premises (@p24) :args (@t11)) % 0.39/0.55 (step @p26 :rule eq_resolve :premises (@p1 @p25)) % 0.39/0.55 (step @p27 :rule instantiate :premises (@p26) :args ((@list @t32 @t31))) % 0.39/0.55 (step @p28 :rule bool-impl-elim :args (@t5 @t25)) % 0.39/0.55 (step @p29 :rule cong :premises (@p28) :args (@t27)) % 0.39/0.55 (step @p30 :rule cong :premises (@p29) :args (@t28)) % 0.39/0.55 (step @p31 :rule eq_resolve :premises (@p12 @p30)) % 0.39/0.55 (step @p32 :rule skolemize :premises (@p31)) % 0.39/0.55 (step @p33 :rule cnf_or_neg :args (@t38 1)) % 0.39/0.55 (step @p34 :rule chain_m_resolution :premises (@p33 @p32) :args ((not @t35) @t39 @t40)) % 0.39/0.55 (step @p35 :rule cnf_equiv_pos2 :args (@t41)) % 0.39/0.55 (step @p36 :rule reordering :premises (@p35) :args ((or @t35 @t42 (not @t41)))) % 0.39/0.55 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p27) :args (@t42 @t43 (@list @t35 @t41))) % 0.39/0.55 (step @p38 :rule skolemize :premises (@p37)) % 0.39/0.55 (step @p39 :rule bool-double-not-elim :args (@t44)) % 0.39/0.55 (step @p40 :rule refl :args (@t47)) % 0.39/0.55 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t47 (not @t46)))) % 0.39/0.55 (step @p42 :rule cnf_or_neg :args (@t47 0)) % 0.39/0.55 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 0.39/0.55 (step @p44 :rule reordering :premises (@p43) :args ((or @t44 @t47))) % 0.39/0.55 (step @p45 :rule chain_m_resolution :premises (@p44 @p38) :args (@t44 @t39 @t48)) % 0.39/0.55 (step @p46 :rule cnf_equiv_pos1 :args (@t50)) % 0.39/0.55 (step @p47 :rule reordering :premises (@p46) :args ((or @t46 @t49 (not @t50)))) % 0.39/0.55 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p20) :args (@t49 (@list false false) (@list @t44 @t50))) % 0.39/0.55 (step @p49 :rule cnf_or_neg :args (@t47 1)) % 0.39/0.55 (step @p50 :rule chain_m_resolution :premises (@p49 @p38) :args ((not @t45) @t39 @t48)) % 0.39/0.55 (step @p51 :rule bool-double-not-elim :args (@t36)) % 0.39/0.55 (step @p52 :rule refl :args (@t38)) % 0.39/0.55 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t38 (not @t37)))) % 0.39/0.55 (step @p54 :rule cnf_or_neg :args (@t38 0)) % 0.39/0.55 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 0.39/0.55 (step @p56 :rule reordering :premises (@p55) :args ((or @t36 @t38))) % 0.39/0.55 (step @p57 :rule chain_m_resolution :premises (@p56 @p32) :args (@t36 @t39 @t40)) % 0.39/0.55 (step @p58 :rule cnf_or_pos :args (@t51)) % 0.39/0.55 (step @p59 :rule reordering :premises (@p58) :args ((or @t37 @t45 @t52))) % 0.39/0.55 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p50) :args (@t52 (@list false true) (@list @t36 @t45))) % 0.39/0.55 (assume-push @p67 @t49) % 0.39/0.55 (step @p62 :rule instantiate :premises (@p48) :args ((@list @t31))) % 0.39/0.55 (step-pop @p68 :rule scope :premises (@p62)) % 0.39/0.55 (step @p63 :rule process_scope :premises (@p68) :args (@t51)) % 0.39/0.55 (step @p65 :rule implies_elim :premises (@p63)) % 0.39/0.55 (step @p66 false :rule chain_m_resolution :premises (@p65 @p60 @p48) :args (false @t43 (@list @t51 @t49))) % 0.39/0.55 ) % 0.39/0.55 % SZS output end Proof % 0.39/0.55 % cvc5 exiting %------------------------------------------------------------------------------