%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET622+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 : n011.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 0.32s 0.58s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SET622+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n011.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:04:50 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/0.58 % SZS status Theorem % 0.32/0.58 % SZS output start Proof % 0.32/0.58 ( % 0.32/0.58 (declare-sort $$unsorted 0) % 0.32/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.32/0.58 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.58 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.58 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.58 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.58 (define @t1 () (@var "D" $$unsorted)) % 0.32/0.58 (define @t2 () (@var "C" $$unsorted)) % 0.32/0.58 (define @t3 () (@var "B" $$unsorted)) % 0.32/0.58 (define @t4 () (tptp.intersection @t3 @t2)) % 0.32/0.58 (define @t5 () (tptp.intersection @t4 @t1)) % 0.32/0.58 (define @t6 () (@list @t3 @t2 @t1)) % 0.32/0.58 (define @t7 () (tptp.difference @t3 @t2)) % 0.32/0.58 (define @t8 () (forall @t6 (= (tptp.difference @t3 (tptp.difference @t2 @t1)) (tptp.union @t7 (tptp.intersection @t3 @t1))))) % 0.32/0.58 (define @t9 () (tptp.union @t3 @t2)) % 0.32/0.58 (define @t10 () (tptp.symmetric_difference @t3 @t2)) % 0.32/0.58 (define @t11 () (@list @t3 @t2)) % 0.32/0.58 (define @t12 () (tptp.member @t1 @t2)) % 0.32/0.58 (define @t13 () (tptp.member @t1 @t3)) % 0.32/0.58 (define @t14 () (tptp.subset @t3 @t2)) % 0.32/0.58 (define @t15 () (= @t3 @t2)) % 0.32/0.58 (define @t16 () (@list @t1)) % 0.32/0.58 (define @t17 () (forall @t6 (= (tptp.difference @t3 (tptp.symmetric_difference @t2 @t1)) (tptp.union (tptp.difference @t3 (tptp.union @t2 @t1)) @t5)))) % 0.32/0.58 (define @t18 () (@quantifiers_skolemize @t17 2)) % 0.32/0.58 (define @t19 () (@quantifiers_skolemize @t17 1)) % 0.32/0.58 (define @t20 () (@quantifiers_skolemize @t17 0)) % 0.32/0.58 (define @t21 () (tptp.union @t19 @t18)) % 0.32/0.58 (define @t22 () (tptp.difference @t20 @t21)) % 0.32/0.58 (define @t23 () (tptp.intersection @t19 @t18)) % 0.32/0.58 (define @t24 () (tptp.union @t22 (tptp.intersection @t20 @t23))) % 0.32/0.58 (define @t25 () (tptp.difference @t20 (tptp.difference @t21 @t23))) % 0.32/0.58 (define @t26 () (= @t25 @t24)) % 0.32/0.58 (assume @p1 (forall @t6 (= @t5 (tptp.intersection @t3 (tptp.intersection @t2 @t1))))) % 0.32/0.58 (assume @p2 @t8) % 0.32/0.58 (assume @p3 (forall @t11 (= @t10 (tptp.difference @t9 @t4)))) % 0.32/0.58 (assume @p4 (forall @t6 (= (tptp.member @t1 @t9) (or @t13 @t12)))) % 0.32/0.58 (assume @p5 (forall @t6 (= (tptp.member @t1 @t4) (and @t13 @t12)))) % 0.32/0.58 (assume @p6 (forall @t6 (= (tptp.member @t1 @t7) (and @t13 (not @t12))))) % 0.32/0.58 (assume @p7 (forall @t11 (= @t10 (tptp.union @t7 (tptp.difference @t2 @t3))))) % 0.32/0.58 (assume @p8 (forall @t11 (= @t15 (and @t14 (tptp.subset @t2 @t3))))) % 0.32/0.58 (assume @p9 (forall @t11 (= @t9 (tptp.union @t2 @t3)))) % 0.32/0.58 (assume @p10 (forall @t11 (= @t4 (tptp.intersection @t2 @t3)))) % 0.32/0.58 (assume @p11 (forall @t11 (= @t10 (tptp.symmetric_difference @t2 @t3)))) % 0.32/0.58 (assume @p12 (forall @t11 (= @t15 (forall @t16 (= @t13 @t12))))) % 0.32/0.58 (assume @p13 (forall @t11 (= @t14 (forall @t16 (=> @t13 @t12))))) % 0.32/0.58 (assume @p14 (forall (@list @t3) (tptp.subset @t3 @t3))) % 0.32/0.58 (assume @p15 (not @t17)) % 0.32/0.58 (assume @p16 true) % 0.32/0.58 (step @p17 :rule skolemize :premises (@p15)) % 0.32/0.58 (step @p18 :rule false_intro :premises (@p17)) % 0.32/0.58 (step @p19 :rule instantiate :premises (@p1) :args ((@list @t20 @t19 @t18))) % 0.32/0.58 (step @p20 :rule symm :premises (@p19)) % 0.32/0.58 (step @p21 :rule refl :args (@t22)) % 0.32/0.58 (step @p22 :rule cong :premises (@p21 @p20) :args (@t24)) % 0.32/0.58 (step @p23 :rule instantiate :premises (@p3) :args ((@list @t19 @t18))) % 0.32/0.58 (step @p24 :rule symm :premises (@p23)) % 0.32/0.58 (step @p25 :rule refl :args (@t20)) % 0.32/0.58 (step @p26 :rule cong :premises (@p25 @p24) :args (@t25)) % 0.32/0.58 (step @p27 :rule cong :premises (@p26 @p22) :args (@t26)) % 0.32/0.58 (step @p28 :rule trans :premises (@p27 @p18)) % 0.32/0.58 (step @p29 :rule false_elim :premises (@p28)) % 0.32/0.58 (assume-push @p36 @t8) % 0.32/0.58 (step @p31 :rule instantiate :premises (@p2) :args ((@list @t20 @t21 @t23))) % 0.32/0.58 (step-pop @p37 :rule scope :premises (@p31)) % 0.32/0.58 (step @p32 :rule process_scope :premises (@p37) :args (@t26)) % 0.32/0.58 (step @p34 :rule implies_elim :premises (@p32)) % 0.32/0.58 (step @p35 false :rule chain_m_resolution :premises (@p34 @p29 @p2) :args (false (@list true false) (@list @t26 @t8))) % 0.32/0.58 ) % 0.32/0.58 % SZS output end Proof % 0.32/0.58 % cvc5 exiting %------------------------------------------------------------------------------