%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET002+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 : 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 08:46:51 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET002+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 % 0.17/0.34 % 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 14:40:13 EDT 2026 % 0.17/0.35 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (define @t1 () (@var "C" $$unsorted)) % 0.37/0.56 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.56 (define @t3 () (tptp.union @t2 @t1)) % 0.37/0.56 (define @t4 () (tptp.subset @t2 @t1)) % 0.37/0.56 (define @t5 () (=> @t4 (= @t3 @t1))) % 0.37/0.56 (define @t6 () (@list @t2 @t1)) % 0.37/0.56 (define @t7 () (forall @t6 @t5)) % 0.37/0.56 (define @t8 () (@var "D" $$unsorted)) % 0.37/0.56 (define @t9 () (tptp.member @t8 @t1)) % 0.37/0.56 (define @t10 () (tptp.member @t8 @t2)) % 0.37/0.56 (define @t11 () (= @t2 @t1)) % 0.37/0.56 (define @t12 () (forall @t6 (= @t11 (and @t4 (tptp.subset @t1 @t2))))) % 0.37/0.56 (define @t13 () (@list @t8)) % 0.37/0.56 (define @t14 () (@list @t2)) % 0.37/0.56 (define @t15 () (tptp.union @t2 @t2)) % 0.37/0.56 (define @t16 () (forall @t14 (= @t15 @t2))) % 0.37/0.56 (define @t17 () (not @t16)) % 0.37/0.56 (define @t18 () (= @t1 @t3)) % 0.37/0.56 (define @t19 () (@quantifiers_skolemize (forall @t14 (= @t2 @t15)) 0)) % 0.37/0.56 (define @t20 () (@list @t19 @t19)) % 0.37/0.56 (define @t21 () (= @t19 (tptp.union @t19 @t19))) % 0.37/0.56 (define @t22 () (tptp.subset @t19 @t19)) % 0.37/0.56 (define @t23 () (not @t22)) % 0.37/0.56 (define @t24 () (or @t23 @t21)) % 0.37/0.56 (define @t25 () (@list true false)) % 0.37/0.56 (define @t26 () (and @t22 @t22)) % 0.37/0.56 (define @t27 () (= (= @t19 @t19) @t26)) % 0.37/0.56 (assume @p1 @t7) % 0.37/0.56 (assume @p2 (forall (@list @t2 @t1 @t8) (= (tptp.member @t8 @t3) (or @t10 @t9)))) % 0.37/0.56 (assume @p3 @t12) % 0.37/0.56 (assume @p4 (forall @t6 (= @t3 (tptp.union @t1 @t2)))) % 0.37/0.56 (assume @p5 (forall @t6 (= @t4 (forall @t13 (=> @t10 @t9))))) % 0.37/0.56 (assume @p6 (forall @t14 (tptp.subset @t2 @t2))) % 0.37/0.56 (assume @p7 (forall @t6 (= @t11 (forall @t13 (= @t10 @t9))))) % 0.37/0.56 (assume @p8 @t17) % 0.37/0.56 (assume @p9 true) % 0.37/0.56 (step @p10 :rule bool-impl-elim :args (@t4 @t18)) % 0.37/0.56 (step @p11 :rule cong :premises (@p10) :args ((forall @t6 (=> @t4 @t18)))) % 0.37/0.56 (step @p12 :rule eq-symm :args (@t3 @t1)) % 0.37/0.56 (step @p13 :rule refl :args (@t4)) % 0.37/0.56 (step @p14 :rule cong :premises (@p13 @p12) :args (@t5)) % 0.37/0.56 (step @p15 :rule cong :premises (@p14) :args (@t7)) % 0.37/0.56 (step @p16 :rule trans :premises (@p15 @p11)) % 0.37/0.56 (step @p17 :rule eq_resolve :premises (@p1 @p16)) % 0.37/0.56 (step @p18 :rule instantiate :premises (@p17) :args (@t20)) % 0.37/0.56 (step @p19 :rule eq-symm :args (@t15 @t2)) % 0.37/0.56 (step @p20 :rule cong :premises (@p19) :args (@t16)) % 0.37/0.56 (step @p21 :rule cong :premises (@p20) :args (@t17)) % 0.37/0.56 (step @p22 :rule eq_resolve :premises (@p8 @p21)) % 0.37/0.56 (step @p23 :rule skolemize :premises (@p22)) % 0.37/0.56 (step @p24 :rule cnf_or_pos :args (@t24)) % 0.37/0.56 (step @p25 :rule reordering :premises (@p24) :args ((or @t21 @t23 (not @t24)))) % 0.37/0.56 (step @p26 :rule chain_m_resolution :premises (@p25 @p23 @p18) :args (@t23 @t25 (@list @t21 @t24))) % 0.37/0.56 (step @p27 :rule bool-eq-true :args (@t22)) % 0.37/0.56 (step @p28 :rule eq-symm :args (true @t22)) % 0.37/0.56 (step @p29 :rule trans :premises (@p28 @p27)) % 0.37/0.56 (step @p30 :rule aci_norm :args ((= @t26 @t22))) % 0.37/0.56 (step @p31 :rule eq-refl :args (@t19)) % 0.37/0.56 (step @p32 :rule cong :premises (@p31 @p30) :args (@t27)) % 0.37/0.56 (step @p33 :rule trans :premises (@p32 @p29)) % 0.37/0.56 (step @p34 :rule refl :args (@t12)) % 0.37/0.56 (step @p35 :rule cong :premises (@p34 @p33) :args ((=> @t12 @t27))) % 0.37/0.56 (assume-push @p43 @t12) % 0.37/0.56 (step @p37 :rule instantiate :premises (@p3) :args (@t20)) % 0.37/0.56 (step-pop @p44 :rule scope :premises (@p37)) % 0.37/0.56 (step @p38 :rule process_scope :premises (@p44) :args (@t27)) % 0.37/0.56 (step @p40 :rule eq_resolve :premises (@p38 @p35)) % 0.37/0.56 (step @p41 :rule implies_elim :premises (@p40)) % 0.37/0.56 (step @p42 false :rule chain_m_resolution :premises (@p41 @p26 @p3) :args (false @t25 (@list @t22 @t12))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------