%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET620+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 : n024.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 08:48:16 AM UTC 2026 % Result : Theorem 0.16s 0.37s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SET620+3 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 11:05:00 EDT 2026 % 0.07/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.37 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.16/0.37 % SZS status Theorem % 0.16/0.37 % SZS output start Proof % 0.16/0.37 ( % 0.16/0.37 (declare-sort $$unsorted 0) % 0.16/0.37 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.16/0.37 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.16/0.37 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.37 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.37 (define @t1 () (@var "B" $$unsorted)) % 0.16/0.37 (define @t2 () (@var "C" $$unsorted)) % 0.16/0.37 (define @t3 () (tptp.difference @t1 @t2)) % 0.16/0.37 (define @t4 () (tptp.symmetric_difference @t1 @t2)) % 0.16/0.37 (define @t5 () (@list @t1 @t2)) % 0.16/0.37 (define @t6 () (tptp.intersection @t1 @t2)) % 0.16/0.37 (define @t7 () (tptp.difference @t1 @t6)) % 0.16/0.37 (define @t8 () (forall @t5 (= @t7 @t3))) % 0.16/0.37 (define @t9 () (@var "D" $$unsorted)) % 0.16/0.37 (define @t10 () (tptp.union @t1 @t2)) % 0.16/0.37 (define @t11 () (@list @t1 @t2 @t9)) % 0.16/0.37 (define @t12 () (tptp.member @t9 @t2)) % 0.16/0.37 (define @t13 () (tptp.member @t9 @t1)) % 0.16/0.37 (define @t14 () (tptp.subset @t1 @t2)) % 0.16/0.37 (define @t15 () (= @t1 @t2)) % 0.16/0.37 (define @t16 () (@list @t9)) % 0.16/0.37 (define @t17 () (forall @t5 (= @t4 (tptp.difference @t10 @t6)))) % 0.16/0.37 (define @t18 () (@quantifiers_skolemize @t17 1)) % 0.16/0.37 (define @t19 () (@quantifiers_skolemize @t17 0)) % 0.16/0.37 (define @t20 () (@list @t19 @t18)) % 0.16/0.37 (define @t21 () (tptp.intersection @t19 @t18)) % 0.16/0.37 (define @t22 () (tptp.difference @t18 @t19)) % 0.16/0.37 (define @t23 () (tptp.difference @t19 @t18)) % 0.16/0.37 (define @t24 () (tptp.union @t23 @t22)) % 0.16/0.37 (define @t25 () (tptp.symmetric_difference @t19 @t18)) % 0.16/0.37 (define @t26 () (= @t25 @t24)) % 0.16/0.37 (define @t27 () (tptp.difference @t19 @t21)) % 0.16/0.37 (define @t28 () (= @t23 @t27)) % 0.16/0.37 (define @t29 () (tptp.difference (tptp.union @t19 @t18) @t21)) % 0.16/0.37 (define @t30 () (= @t29 (tptp.union @t27 (tptp.difference @t18 @t21)))) % 0.16/0.37 (define @t31 () (tptp.intersection @t18 @t19)) % 0.16/0.37 (define @t32 () (= @t21 @t31)) % 0.16/0.37 (define @t33 () (tptp.difference @t18 @t31)) % 0.16/0.37 (define @t34 () (= @t22 @t33)) % 0.16/0.37 (define @t35 () (= @t25 @t29)) % 0.16/0.37 (define @t36 () (and @t26 @t28 @t30 @t32 @t34)) % 0.16/0.37 (assume @p1 (forall @t5 (= @t4 (tptp.union @t3 (tptp.difference @t2 @t1))))) % 0.16/0.37 (assume @p2 @t8) % 0.16/0.37 (assume @p3 (forall @t11 (= (tptp.difference @t10 @t9) (tptp.union (tptp.difference @t1 @t9) (tptp.difference @t2 @t9))))) % 0.16/0.37 (assume @p4 (forall @t11 (= (tptp.member @t9 @t10) (or @t13 @t12)))) % 0.16/0.37 (assume @p5 (forall @t11 (= (tptp.member @t9 @t6) (and @t13 @t12)))) % 0.16/0.37 (assume @p6 (forall @t11 (= (tptp.member @t9 @t3) (and @t13 (not @t12))))) % 0.16/0.37 (assume @p7 (forall @t5 (= @t15 (and @t14 (tptp.subset @t2 @t1))))) % 0.16/0.37 (assume @p8 (forall @t5 (= @t10 (tptp.union @t2 @t1)))) % 0.16/0.37 (assume @p9 (forall @t5 (= @t6 (tptp.intersection @t2 @t1)))) % 0.16/0.37 (assume @p10 (forall @t5 (= @t4 (tptp.symmetric_difference @t2 @t1)))) % 0.16/0.37 (assume @p11 (forall @t5 (= @t15 (forall @t16 (= @t13 @t12))))) % 0.16/0.37 (assume @p12 (forall @t5 (= @t14 (forall @t16 (=> @t13 @t12))))) % 0.16/0.37 (assume @p13 (forall (@list @t1) (tptp.subset @t1 @t1))) % 0.16/0.37 (assume @p14 (not @t17)) % 0.16/0.37 (assume @p15 true) % 0.16/0.37 (step @p16 :rule skolemize :premises (@p14)) % 0.16/0.37 (step @p17 :rule instantiate :premises (@p1) :args (@t20)) % 0.16/0.37 (step @p18 :rule eq-symm :args (@t7 @t3)) % 0.16/0.37 (step @p19 :rule cong :premises (@p18) :args (@t8)) % 0.16/0.37 (step @p20 :rule eq_resolve :premises (@p2 @p19)) % 0.16/0.37 (step @p21 :rule instantiate :premises (@p20) :args (@t20)) % 0.16/0.37 (step @p22 :rule instantiate :premises (@p3) :args ((@list @t19 @t18 @t21))) % 0.16/0.37 (step @p23 :rule instantiate :premises (@p9) :args (@t20)) % 0.16/0.37 (step @p24 :rule instantiate :premises (@p20) :args ((@list @t18 @t19))) % 0.16/0.37 (assume-push @p48 @t26) % 0.16/0.37 (assume-push @p49 @t28) % 0.16/0.37 (assume-push @p50 @t30) % 0.16/0.37 (assume-push @p51 @t32) % 0.16/0.37 (assume-push @p52 @t34) % 0.16/0.37 (step @p30 :rule symm :premises (@p22)) % 0.16/0.37 (step @p31 :rule symm :premises (@p23)) % 0.16/0.37 (step @p32 :rule refl :args (@t18)) % 0.16/0.37 (step @p33 :rule cong :premises (@p32 @p31) :args (@t33)) % 0.16/0.37 (step @p34 :rule trans :premises (@p24 @p33)) % 0.16/0.37 (step @p35 :rule cong :premises (@p21 @p34) :args (@t24)) % 0.16/0.37 (step @p36 :rule trans :premises (@p17 @p35 @p30)) % 0.16/0.37 (step-pop @p53 :rule scope :premises (@p36)) % 0.16/0.37 (step-pop @p54 :rule scope :premises (@p53)) % 0.16/0.37 (step-pop @p55 :rule scope :premises (@p54)) % 0.16/0.37 (step-pop @p56 :rule scope :premises (@p55)) % 0.16/0.37 (step-pop @p57 :rule scope :premises (@p56)) % 0.16/0.37 (step @p37 :rule process_scope :premises (@p57) :args (@t35)) % 0.16/0.37 (step @p43 :rule implies_elim :premises (@p37)) % 0.16/0.37 (step @p44 :rule cnf_and_neg :args (@t36)) % 0.16/0.37 (step @p45 :rule resolution :premises (@p44 @p43) :args (true @t36)) % 0.16/0.37 (step @p46 :rule reordering :premises (@p45) :args ((or @t35 (not @t26) (not @t28) (not @t30) (not @t32) (not @t34)))) % 0.16/0.37 (step @p47 false :rule chain_m_resolution :premises (@p46 @p24 @p23 @p22 @p21 @p17 @p16) :args (false (@list false false false false false true) (@list @t34 @t32 @t30 @t28 @t26 @t35))) % 0.16/0.37 ) % 0.16/0.37 % SZS output end Proof % 0.16/0.37 % cvc5 exiting %------------------------------------------------------------------------------