%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET162+3 : 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 : n016.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 08:47:32 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET162+3 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n016.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 15:05:39 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.empty_set $$unsorted) % 0.38/0.57 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (define @t1 () (@var "C" $$unsorted)) % 0.38/0.57 (define @t2 () (@var "D" $$unsorted)) % 0.38/0.57 (define @t3 () (tptp.member @t2 @t1)) % 0.38/0.57 (define @t4 () (@var "B" $$unsorted)) % 0.38/0.57 (define @t5 () (tptp.member @t2 @t4)) % 0.38/0.57 (define @t6 () (tptp.union @t4 @t1)) % 0.38/0.57 (define @t7 () (@list @t4)) % 0.38/0.57 (define @t8 () (forall @t7 (not (tptp.member @t4 tptp.empty_set)))) % 0.38/0.57 (define @t9 () (tptp.subset @t4 @t1)) % 0.38/0.57 (define @t10 () (= @t4 @t1)) % 0.38/0.57 (define @t11 () (@list @t4 @t1)) % 0.38/0.57 (define @t12 () (@list @t2)) % 0.38/0.57 (define @t13 () (tptp.union @t4 tptp.empty_set)) % 0.38/0.57 (define @t14 () (forall @t7 (= @t13 @t4))) % 0.38/0.57 (define @t15 () (not @t14)) % 0.38/0.57 (define @t16 () (@quantifiers_skolemize (forall @t7 (= @t4 @t13)) 0)) % 0.38/0.57 (define @t17 () (tptp.union @t16 tptp.empty_set)) % 0.38/0.57 (define @t18 () (forall @t12 (= (tptp.member @t2 @t16) (tptp.member @t2 @t17)))) % 0.38/0.57 (define @t19 () (@quantifiers_skolemize @t18 0)) % 0.38/0.57 (define @t20 () (= @t16 @t17)) % 0.38/0.57 (define @t21 () (= @t20 @t18)) % 0.38/0.57 (define @t22 () (not @t18)) % 0.38/0.57 (define @t23 () (@list true false)) % 0.38/0.57 (define @t24 () (tptp.member @t19 @t17)) % 0.38/0.57 (define @t25 () (tptp.member @t19 @t16)) % 0.38/0.57 (define @t26 () (= @t25 @t24)) % 0.38/0.57 (define @t27 () (tptp.member @t19 tptp.empty_set)) % 0.38/0.57 (define @t28 () (or @t25 @t27)) % 0.38/0.57 (define @t29 () (= @t24 @t28)) % 0.38/0.57 (define @t30 () (not @t29)) % 0.38/0.57 (define @t31 () (not @t28)) % 0.38/0.57 (define @t32 () (not @t25)) % 0.38/0.57 (define @t33 () (@list false false)) % 0.38/0.57 (assume @p1 (forall (@list @t4 @t1 @t2) (= (tptp.member @t2 @t6) (or @t5 @t3)))) % 0.38/0.57 (assume @p2 @t8) % 0.38/0.57 (assume @p3 (forall @t11 (= @t10 (and @t9 (tptp.subset @t1 @t4))))) % 0.38/0.57 (assume @p4 (forall @t11 (= @t6 (tptp.union @t1 @t4)))) % 0.38/0.57 (assume @p5 (forall @t11 (= @t9 (forall @t12 (=> @t5 @t3))))) % 0.38/0.57 (assume @p6 (forall @t7 (tptp.subset @t4 @t4))) % 0.38/0.57 (assume @p7 (forall @t7 (= (tptp.empty @t4) (forall (@list @t1) (not (tptp.member @t1 @t4)))))) % 0.38/0.57 (assume @p8 (forall @t11 (= @t10 (forall @t12 (= @t5 @t3))))) % 0.38/0.57 (assume @p9 @t15) % 0.38/0.57 (assume @p10 true) % 0.38/0.57 (step @p11 :rule instantiate :premises (@p1) :args ((@list @t16 tptp.empty_set @t19))) % 0.38/0.57 (step @p12 :rule instantiate :premises (@p8) :args ((@list @t16 @t17))) % 0.38/0.57 (step @p13 :rule eq-symm :args (@t13 @t4)) % 0.38/0.57 (step @p14 :rule cong :premises (@p13) :args (@t14)) % 0.38/0.57 (step @p15 :rule cong :premises (@p14) :args (@t15)) % 0.38/0.57 (step @p16 :rule eq_resolve :premises (@p9 @p15)) % 0.38/0.57 (step @p17 :rule skolemize :premises (@p16)) % 0.38/0.57 (step @p18 :rule cnf_equiv_pos2 :args (@t21)) % 0.38/0.57 (step @p19 :rule reordering :premises (@p18) :args ((or @t20 @t22 (not @t21)))) % 0.38/0.57 (step @p20 :rule chain_m_resolution :premises (@p19 @p17 @p12) :args (@t22 @t23 (@list @t20 @t21))) % 0.38/0.57 (step @p21 :rule skolemize :premises (@p20)) % 0.38/0.57 (step @p22 :rule cnf_equiv_neg1 :args (@t26)) % 0.38/0.57 (step @p23 :rule reordering :premises (@p22) :args ((or @t25 @t24 @t26))) % 0.38/0.57 (step @p24 :rule cnf_equiv_pos2 :args (@t29)) % 0.38/0.57 (step @p25 :rule reordering :premises (@p24) :args ((or @t24 @t31 @t30))) % 0.38/0.57 (step @p26 :rule cnf_or_neg :args (@t28 0)) % 0.38/0.57 (step @p27 :rule reordering :premises (@p26) :args ((or @t32 @t28))) % 0.38/0.57 (step @p28 :rule chain_m_resolution :premises (@p27 @p25 @p11 @p23 @p21) :args (@t24 (@list true false false true) (@list @t28 @t29 @t25 @t26))) % 0.38/0.57 (step @p29 :rule cnf_equiv_pos1 :args (@t29)) % 0.38/0.57 (step @p30 :rule reordering :premises (@p29) :args ((or (not @t24) @t28 @t30))) % 0.38/0.57 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p11) :args (@t28 @t33 (@list @t24 @t29))) % 0.38/0.57 (step @p32 :rule cnf_equiv_neg2 :args (@t26)) % 0.38/0.57 (step @p33 :rule chain_m_resolution :premises (@p32 @p21 @p28) :args (@t32 @t23 (@list @t26 @t24))) % 0.38/0.57 (step @p34 :rule cnf_or_pos :args (@t28)) % 0.38/0.57 (step @p35 :rule reordering :premises (@p34) :args ((or @t25 @t27 @t31))) % 0.38/0.57 (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p31) :args (@t27 @t23 (@list @t25 @t28))) % 0.38/0.57 (assume-push @p43 @t8) % 0.38/0.57 (step @p38 :rule instantiate :premises (@p2) :args ((@list @t19))) % 0.38/0.58 (step-pop @p44 :rule scope :premises (@p38)) % 0.38/0.58 (step @p39 :rule process_scope :premises (@p44) :args ((not @t27))) % 0.38/0.58 (step @p41 :rule implies_elim :premises (@p39)) % 0.38/0.58 (step @p42 false :rule chain_m_resolution :premises (@p41 @p36 @p2) :args (false @t33 (@list @t27 @t8))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------