%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET705+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 : n018.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 0.35s 0.56s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET705+4 : TPTP v9.2.1. Released v2.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n018.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 16:09:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.56 % SZS status Theorem % 0.35/0.56 % SZS output start Proof % 0.35/0.56 ( % 0.35/0.56 (declare-sort $$unsorted 0) % 0.35/0.56 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.56 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.56 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.56 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.35/0.56 (declare-const tptp.empty_set $$unsorted) % 0.35/0.56 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.56 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.35/0.56 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.35/0.56 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.35/0.56 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.35/0.56 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.35/0.56 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.35/0.56 (define @t1 () (@var "B" $$unsorted)) % 0.35/0.56 (define @t2 () (@var "X" $$unsorted)) % 0.35/0.56 (define @t3 () (tptp.member @t2 @t1)) % 0.35/0.56 (define @t4 () (@var "A" $$unsorted)) % 0.35/0.56 (define @t5 () (tptp.member @t2 @t4)) % 0.35/0.56 (define @t6 () (@list @t2)) % 0.35/0.56 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.35/0.56 (define @t8 () (tptp.subset @t4 @t1)) % 0.35/0.56 (define @t9 () (= @t8 @t7)) % 0.35/0.56 (define @t10 () (@list @t4 @t1)) % 0.35/0.56 (define @t11 () (forall @t10 @t9)) % 0.35/0.56 (define @t12 () (tptp.power_set @t4)) % 0.35/0.56 (define @t13 () (@list @t2 @t4)) % 0.35/0.56 (define @t14 () (@list @t2 @t4 @t1)) % 0.35/0.56 (define @t15 () (@var "E" $$unsorted)) % 0.35/0.56 (define @t16 () (= @t2 @t4)) % 0.35/0.56 (define @t17 () (@var "Y" $$unsorted)) % 0.35/0.56 (define @t18 () (tptp.member @t2 @t17)) % 0.35/0.56 (define @t19 () (tptp.member @t17 @t4)) % 0.35/0.56 (define @t20 () (@list @t17)) % 0.35/0.56 (define @t21 () (forall (@list @t4) (tptp.member @t4 @t12))) % 0.35/0.56 (define @t22 () (@quantifiers_skolemize @t21 0)) % 0.35/0.56 (define @t23 () (@list @t22 @t22)) % 0.35/0.56 (define @t24 () (tptp.subset @t22 @t22)) % 0.35/0.56 (define @t25 () (tptp.member @t22 (tptp.power_set @t22))) % 0.35/0.56 (define @t26 () (= @t25 @t24)) % 0.35/0.56 (define @t27 () (not @t24)) % 0.35/0.56 (define @t28 () (@list true false)) % 0.35/0.56 (define @t29 () (tptp.member @t2 @t22)) % 0.35/0.56 (define @t30 () (forall @t6 (or (not @t29) @t29))) % 0.35/0.56 (define @t31 () (= @t24 @t30)) % 0.35/0.56 (define @t32 () (forall @t10 (= @t8 (forall @t6 (or (not @t5) @t3))))) % 0.35/0.56 (assume @p1 @t11) % 0.35/0.56 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.35/0.56 (assume @p3 (forall @t13 (= (tptp.member @t2 @t12) (tptp.subset @t2 @t4)))) % 0.35/0.56 (assume @p4 (forall @t14 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.35/0.56 (assume @p5 (forall @t14 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.35/0.56 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.35/0.56 (assume @p7 (forall (@list @t1 @t4 @t15) (= (tptp.member @t1 (tptp.difference @t15 @t4)) (and (tptp.member @t1 @t15) (not (tptp.member @t1 @t4)))))) % 0.35/0.56 (assume @p8 (forall @t13 (= (tptp.member @t2 (tptp.singleton @t4)) @t16))) % 0.35/0.56 (assume @p9 (forall @t14 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t16 (= @t2 @t1))))) % 0.35/0.56 (assume @p10 (forall @t13 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t20 (and @t19 @t18))))) % 0.35/0.56 (assume @p11 (forall @t13 (= (tptp.member @t2 (tptp.product @t4)) (forall @t20 (=> @t19 @t18))))) % 0.35/0.56 (assume @p12 (not @t21)) % 0.35/0.56 (assume @p13 true) % 0.35/0.56 (step @p14 :rule bool-impl-elim :args (@t5 @t3)) % 0.35/0.56 (step @p15 :rule cong :premises (@p14) :args (@t7)) % 0.35/0.56 (step @p16 :rule refl :args (@t8)) % 0.35/0.56 (step @p17 :rule cong :premises (@p16 @p15) :args (@t9)) % 0.35/0.56 (step @p18 :rule cong :premises (@p17) :args (@t11)) % 0.35/0.56 (step @p19 :rule eq_resolve :premises (@p1 @p18)) % 0.35/0.56 (step @p20 :rule instantiate :premises (@p3) :args (@t23)) % 0.35/0.56 (step @p21 :rule skolemize :premises (@p12)) % 0.35/0.56 (step @p22 :rule cnf_equiv_pos2 :args (@t26)) % 0.35/0.56 (step @p23 :rule reordering :premises (@p22) :args ((or @t25 @t27 (not @t26)))) % 0.35/0.56 (step @p24 :rule chain_m_resolution :premises (@p23 @p21 @p20) :args (@t27 @t28 (@list @t25 @t26))) % 0.35/0.56 (step @p25 :rule bool-eq-true :args (@t24)) % 0.35/0.56 (step @p26 :rule quant-unused-vars :args ((= (forall @t6 true) true))) % 0.35/0.56 (step @p27 :rule bool-or-taut2 :args (false @t29 false false)) % 0.35/0.56 (step @p28 :rule cong :premises (@p27) :args (@t30)) % 0.35/0.56 (step @p29 :rule trans :premises (@p28 @p26)) % 0.35/0.56 (step @p30 :rule refl :args (@t24)) % 0.35/0.56 (step @p31 :rule cong :premises (@p30 @p29) :args (@t31)) % 0.35/0.56 (step @p32 :rule trans :premises (@p31 @p25)) % 0.35/0.56 (step @p33 :rule refl :args (@t32)) % 0.35/0.56 (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t32 @t31))) % 0.35/0.56 (assume-push @p42 @t32) % 0.35/0.56 (step @p36 :rule instantiate :premises (@p19) :args (@t23)) % 0.35/0.56 (step-pop @p43 :rule scope :premises (@p36)) % 0.35/0.56 (step @p37 :rule process_scope :premises (@p43) :args (@t31)) % 0.35/0.56 (step @p39 :rule eq_resolve :premises (@p37 @p34)) % 0.35/0.56 (step @p40 :rule implies_elim :premises (@p39)) % 0.35/0.56 (step @p41 false :rule chain_m_resolution :premises (@p40 @p24 @p19) :args (false @t28 (@list @t24 @t32))) % 0.35/0.56 ) % 0.35/0.56 % SZS output end Proof % 0.35/0.56 % cvc5 exiting %------------------------------------------------------------------------------