%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET196+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 : n021.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 08:47:37 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET196+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 : n021.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 15:11:35 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (define @t1 () (@var "C" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "D" $$unsorted)) % 0.38/0.56 (define @t3 () (tptp.member @t2 @t1)) % 0.38/0.56 (define @t4 () (@var "B" $$unsorted)) % 0.38/0.56 (define @t5 () (tptp.member @t2 @t4)) % 0.38/0.56 (define @t6 () (tptp.intersection @t4 @t1)) % 0.38/0.56 (define @t7 () (@list @t2)) % 0.38/0.56 (define @t8 () (forall @t7 (=> @t5 @t3))) % 0.38/0.56 (define @t9 () (tptp.subset @t4 @t1)) % 0.38/0.56 (define @t10 () (= @t9 @t8)) % 0.38/0.56 (define @t11 () (@list @t4 @t1)) % 0.38/0.56 (define @t12 () (forall @t11 @t10)) % 0.38/0.56 (define @t13 () (forall @t11 (tptp.subset @t6 @t4))) % 0.38/0.56 (define @t14 () (@quantifiers_skolemize @t13 0)) % 0.38/0.56 (define @t15 () (@quantifiers_skolemize @t13 1)) % 0.38/0.56 (define @t16 () (tptp.intersection @t14 @t15)) % 0.38/0.56 (define @t17 () (forall @t7 (or (not (tptp.member @t2 @t16)) (tptp.member @t2 @t14)))) % 0.38/0.56 (define @t18 () (tptp.subset @t16 @t14)) % 0.38/0.56 (define @t19 () (= @t18 @t17)) % 0.38/0.56 (define @t20 () (not @t17)) % 0.38/0.56 (define @t21 () (@quantifiers_skolemize @t17 0)) % 0.38/0.56 (define @t22 () (tptp.member @t21 @t16)) % 0.38/0.56 (define @t23 () (tptp.member @t21 @t14)) % 0.38/0.56 (define @t24 () (not @t22)) % 0.38/0.56 (define @t25 () (or @t24 @t23)) % 0.38/0.56 (define @t26 () (@list true)) % 0.38/0.56 (define @t27 () (@list @t25)) % 0.38/0.56 (define @t28 () (and @t23 (tptp.member @t21 @t15))) % 0.38/0.56 (define @t29 () (not @t28)) % 0.38/0.56 (define @t30 () (= @t22 @t28)) % 0.38/0.56 (assume @p1 (forall (@list @t4 @t1 @t2) (= (tptp.member @t2 @t6) (and @t5 @t3)))) % 0.38/0.56 (assume @p2 @t12) % 0.38/0.56 (assume @p3 (forall @t11 (= @t6 (tptp.intersection @t1 @t4)))) % 0.38/0.56 (assume @p4 (forall (@list @t4) (tptp.subset @t4 @t4))) % 0.38/0.56 (assume @p5 (forall @t11 (= (= @t4 @t1) (forall @t7 (= @t5 @t3))))) % 0.38/0.56 (assume @p6 (not @t13)) % 0.38/0.56 (assume @p7 true) % 0.38/0.56 (step @p8 :rule bool-impl-elim :args (@t5 @t3)) % 0.38/0.56 (step @p9 :rule cong :premises (@p8) :args (@t8)) % 0.38/0.56 (step @p10 :rule refl :args (@t9)) % 0.38/0.56 (step @p11 :rule cong :premises (@p10 @p9) :args (@t10)) % 0.38/0.56 (step @p12 :rule cong :premises (@p11) :args (@t12)) % 0.38/0.56 (step @p13 :rule eq_resolve :premises (@p2 @p12)) % 0.38/0.56 (step @p14 :rule instantiate :premises (@p13) :args ((@list @t16 @t14))) % 0.38/0.56 (step @p15 :rule skolemize :premises (@p6)) % 0.38/0.56 (step @p16 :rule cnf_equiv_pos2 :args (@t19)) % 0.38/0.56 (step @p17 :rule reordering :premises (@p16) :args ((or @t18 @t20 (not @t19)))) % 0.38/0.56 (step @p18 :rule chain_m_resolution :premises (@p17 @p15 @p14) :args (@t20 (@list true false) (@list @t18 @t19))) % 0.38/0.56 (step @p19 :rule skolemize :premises (@p18)) % 0.38/0.56 (step @p20 :rule bool-double-not-elim :args (@t22)) % 0.38/0.56 (step @p21 :rule refl :args (@t25)) % 0.38/0.56 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t25 (not @t24)))) % 0.38/0.56 (step @p23 :rule cnf_or_neg :args (@t25 0)) % 0.38/0.56 (step @p24 :rule eq_resolve :premises (@p23 @p22)) % 0.38/0.56 (step @p25 :rule reordering :premises (@p24) :args ((or @t22 @t25))) % 0.38/0.56 (step @p26 :rule chain_m_resolution :premises (@p25 @p19) :args (@t22 @t26 @t27)) % 0.38/0.56 (step @p27 :rule cnf_or_neg :args (@t25 1)) % 0.38/0.56 (step @p28 :rule chain_m_resolution :premises (@p27 @p19) :args ((not @t23) @t26 @t27)) % 0.38/0.56 (step @p29 :rule cnf_and_pos :args (@t28 0)) % 0.38/0.56 (step @p30 :rule reordering :premises (@p29) :args ((or @t23 @t29))) % 0.38/0.56 (step @p31 :rule chain_m_resolution :premises (@p30 @p28) :args (@t29 @t26 (@list @t23))) % 0.38/0.56 (step @p32 :rule instantiate :premises (@p1) :args ((@list @t14 @t15 @t21))) % 0.38/0.56 (step @p33 :rule cnf_equiv_pos1 :args (@t30)) % 0.38/0.56 (step @p34 :rule reordering :premises (@p33) :args ((or @t24 @t28 (not @t30)))) % 0.38/0.56 (step @p35 false :rule chain_m_resolution :premises (@p34 @p32 @p31 @p26) :args (false (@list false true false) (@list @t30 @t28 @t22))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------