%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET604+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 : n008.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 08:48:11 AM UTC 2026 % Result : Theorem 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET604+3 : TPTP v9.2.1. Released v2.2.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n008.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 16:04:33 EDT 2026 % 0.16/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort $$unsorted 0) % 0.39/0.56 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.56 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.empty_set $$unsorted) % 0.39/0.56 (define @t1 () (@var "B" $$unsorted)) % 0.39/0.56 (define @t2 () (@list @t1)) % 0.39/0.56 (define @t3 () (forall @t2 (tptp.subset tptp.empty_set @t1))) % 0.39/0.56 (define @t4 () (@var "C" $$unsorted)) % 0.39/0.56 (define @t5 () (tptp.subset @t1 @t4)) % 0.39/0.56 (define @t6 () (tptp.difference @t1 @t4)) % 0.39/0.56 (define @t7 () (= (= @t6 tptp.empty_set) @t5)) % 0.39/0.56 (define @t8 () (@list @t1 @t4)) % 0.39/0.56 (define @t9 () (forall @t8 @t7)) % 0.39/0.56 (define @t10 () (@var "D" $$unsorted)) % 0.39/0.56 (define @t11 () (tptp.member @t10 @t4)) % 0.39/0.56 (define @t12 () (tptp.member @t10 @t1)) % 0.39/0.56 (define @t13 () (tptp.difference tptp.empty_set @t1)) % 0.39/0.56 (define @t14 () (forall @t2 (= @t13 tptp.empty_set))) % 0.39/0.56 (define @t15 () (not @t14)) % 0.39/0.56 (define @t16 () (= tptp.empty_set @t6)) % 0.39/0.56 (define @t17 () (@quantifiers_skolemize (forall @t2 (= tptp.empty_set @t13)) 0)) % 0.39/0.56 (define @t18 () (tptp.subset tptp.empty_set @t17)) % 0.39/0.56 (define @t19 () (= tptp.empty_set (tptp.difference tptp.empty_set @t17))) % 0.39/0.56 (define @t20 () (forall @t8 (= @t5 @t16))) % 0.39/0.56 (define @t21 () (= @t18 @t19)) % 0.39/0.56 (define @t22 () (= @t19 @t18)) % 0.39/0.56 (define @t23 () (not @t18)) % 0.39/0.56 (define @t24 () (@list true false)) % 0.39/0.56 (assume @p1 @t3) % 0.39/0.56 (assume @p2 @t9) % 0.39/0.56 (assume @p3 (forall @t2 (not (tptp.member @t1 tptp.empty_set)))) % 0.39/0.56 (assume @p4 (forall (@list @t1 @t4 @t10) (= (tptp.member @t10 @t6) (and @t12 (not @t11))))) % 0.39/0.56 (assume @p5 (forall @t8 (= (= @t1 @t4) (and @t5 (tptp.subset @t4 @t1))))) % 0.39/0.56 (assume @p6 (forall @t8 (= @t5 (forall (@list @t10) (=> @t12 @t11))))) % 0.39/0.56 (assume @p7 (forall @t2 (tptp.subset @t1 @t1))) % 0.39/0.56 (assume @p8 (forall @t2 (= (tptp.empty @t1) (forall (@list @t4) (not (tptp.member @t4 @t1)))))) % 0.39/0.56 (assume @p9 @t15) % 0.39/0.56 (assume @p10 true) % 0.39/0.56 (step @p11 :rule eq-symm :args (@t16 @t5)) % 0.39/0.56 (step @p12 :rule refl :args (@t5)) % 0.39/0.56 (step @p13 :rule eq-symm :args (@t6 tptp.empty_set)) % 0.39/0.56 (step @p14 :rule cong :premises (@p13 @p12) :args (@t7)) % 0.39/0.56 (step @p15 :rule trans :premises (@p14 @p11)) % 0.39/0.56 (step @p16 :rule cong :premises (@p15) :args (@t9)) % 0.39/0.56 (step @p17 :rule eq_resolve :premises (@p2 @p16)) % 0.39/0.56 (step @p18 :rule eq-symm :args (@t18 @t19)) % 0.39/0.56 (step @p19 :rule refl :args (@t20)) % 0.39/0.56 (step @p20 :rule cong :premises (@p19 @p18) :args ((=> @t20 @t21))) % 0.39/0.56 (assume-push @p42 @t20) % 0.39/0.56 (step @p22 :rule instantiate :premises (@p17) :args ((@list tptp.empty_set @t17))) % 0.39/0.56 (step-pop @p43 :rule scope :premises (@p22)) % 0.39/0.56 (step @p23 :rule process_scope :premises (@p43) :args (@t21)) % 0.39/0.56 (step @p25 :rule eq_resolve :premises (@p23 @p20)) % 0.39/0.56 (step @p26 :rule implies_elim :premises (@p25)) % 0.39/0.56 (step @p27 :rule chain_m_resolution :premises (@p26 @p17) :args (@t22 (@list false) (@list @t20))) % 0.39/0.56 (step @p28 :rule eq-symm :args (@t13 tptp.empty_set)) % 0.39/0.56 (step @p29 :rule cong :premises (@p28) :args (@t14)) % 0.39/0.56 (step @p30 :rule cong :premises (@p29) :args (@t15)) % 0.39/0.56 (step @p31 :rule eq_resolve :premises (@p9 @p30)) % 0.39/0.56 (step @p32 :rule skolemize :premises (@p31)) % 0.39/0.56 (step @p33 :rule cnf_equiv_pos2 :args (@t22)) % 0.39/0.56 (step @p34 :rule reordering :premises (@p33) :args ((or @t19 @t23 (not @t22)))) % 0.39/0.56 (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p27) :args (@t23 @t24 (@list @t19 @t22))) % 0.39/0.56 (assume-push @p44 @t3) % 0.39/0.56 (step @p37 :rule instantiate :premises (@p1) :args ((@list @t17))) % 0.39/0.56 (step-pop @p45 :rule scope :premises (@p37)) % 0.39/0.56 (step @p38 :rule process_scope :premises (@p45) :args (@t18)) % 0.39/0.56 (step @p40 :rule implies_elim :premises (@p38)) % 0.39/0.56 (step @p41 false :rule chain_m_resolution :premises (@p40 @p35 @p1) :args (false @t24 (@list @t18 @t3))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------