%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET599+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 : n009.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 08:48:09 AM UTC 2026 % Result : Theorem 0.32s 0.56s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET599+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n009.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % 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 16:03:59 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/0.56 % SZS status Theorem % 0.32/0.56 % SZS output start Proof % 0.32/0.56 ( % 0.32/0.56 (declare-sort $$unsorted 0) % 0.32/0.56 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.32/0.56 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.32/0.56 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.56 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.56 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.56 (define @t1 () (@var "B" $$unsorted)) % 0.32/0.56 (define @t2 () (@var "C" $$unsorted)) % 0.32/0.56 (define @t3 () (tptp.difference @t1 @t2)) % 0.32/0.56 (define @t4 () (tptp.symmetric_difference @t1 @t2)) % 0.32/0.56 (define @t5 () (@list @t1 @t2)) % 0.32/0.56 (define @t6 () (tptp.union @t1 @t2)) % 0.32/0.56 (define @t7 () (forall @t5 (tptp.subset @t1 @t6))) % 0.32/0.56 (define @t8 () (@var "D" $$unsorted)) % 0.32/0.56 (define @t9 () (tptp.member @t8 @t2)) % 0.32/0.56 (define @t10 () (tptp.member @t8 @t1)) % 0.32/0.56 (define @t11 () (@list @t8)) % 0.32/0.56 (define @t12 () (forall @t5 (tptp.subset @t3 @t4))) % 0.32/0.56 (define @t13 () (@quantifiers_skolemize @t12 1)) % 0.32/0.56 (define @t14 () (@quantifiers_skolemize @t12 0)) % 0.32/0.56 (define @t15 () (tptp.difference @t14 @t13)) % 0.32/0.56 (define @t16 () (tptp.difference @t13 @t14)) % 0.32/0.56 (define @t17 () (tptp.subset @t15 (tptp.union @t15 @t16))) % 0.32/0.56 (assume @p1 (forall @t5 (= @t4 (tptp.union @t3 (tptp.difference @t2 @t1))))) % 0.32/0.56 (assume @p2 @t7) % 0.32/0.56 (assume @p3 (forall (@list @t1 @t2 @t8) (= (tptp.member @t8 @t3) (and @t10 (not @t9))))) % 0.32/0.56 (assume @p4 (forall @t5 (= (tptp.subset @t1 @t2) (forall @t11 (=> @t10 @t9))))) % 0.32/0.56 (assume @p5 (forall @t5 (= @t6 (tptp.union @t2 @t1)))) % 0.32/0.56 (assume @p6 (forall @t5 (= @t4 (tptp.symmetric_difference @t2 @t1)))) % 0.32/0.56 (assume @p7 (forall @t5 (= (= @t1 @t2) (forall @t11 (= @t10 @t9))))) % 0.32/0.56 (assume @p8 (forall (@list @t1) (tptp.subset @t1 @t1))) % 0.32/0.56 (assume @p9 (not @t12)) % 0.32/0.56 (assume @p10 true) % 0.32/0.56 (step @p11 :rule skolemize :premises (@p9)) % 0.32/0.56 (step @p12 :rule false_intro :premises (@p11)) % 0.32/0.56 (step @p13 :rule instantiate :premises (@p1) :args ((@list @t14 @t13))) % 0.32/0.56 (step @p14 :rule symm :premises (@p13)) % 0.32/0.56 (step @p15 :rule refl :args (@t15)) % 0.32/0.56 (step @p16 :rule cong :premises (@p15 @p14) :args (@t17)) % 0.32/0.56 (step @p17 :rule trans :premises (@p16 @p12)) % 0.32/0.56 (step @p18 :rule false_elim :premises (@p17)) % 0.32/0.56 (assume-push @p25 @t7) % 0.32/0.56 (step @p20 :rule instantiate :premises (@p2) :args ((@list @t15 @t16))) % 0.32/0.56 (step-pop @p26 :rule scope :premises (@p20)) % 0.32/0.56 (step @p21 :rule process_scope :premises (@p26) :args (@t17)) % 0.32/0.56 (step @p23 :rule implies_elim :premises (@p21)) % 0.32/0.56 (step @p24 false :rule chain_m_resolution :premises (@p23 @p18 @p2) :args (false (@list true false) (@list @t17 @t7))) % 0.32/0.56 ) % 0.32/0.56 % SZS output end Proof % 0.32/0.56 % cvc5 exiting %------------------------------------------------------------------------------