%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET627+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 : n004.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 08:48:17 AM UTC 2026 % Result : Theorem 0.29s 0.55s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET627+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n004.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 16:05:22 EDT 2026 % 0.18/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.29/0.55 % SZS status Theorem % 0.29/0.55 % SZS output start Proof % 0.29/0.55 ( % 0.29/0.55 (declare-sort $$unsorted 0) % 0.29/0.55 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.29/0.55 (declare-const tptp.intersect (-> $$unsorted $$unsorted Bool)) % 0.29/0.55 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.29/0.55 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.29/0.55 (declare-const tptp.empty_set $$unsorted) % 0.29/0.55 (define @t1 () (@var "B" $$unsorted)) % 0.29/0.55 (define @t2 () (@list @t1)) % 0.29/0.55 (define @t3 () (forall @t2 (not (tptp.member @t1 tptp.empty_set)))) % 0.29/0.55 (define @t4 () (@var "C" $$unsorted)) % 0.29/0.55 (define @t5 () (@var "D" $$unsorted)) % 0.29/0.55 (define @t6 () (tptp.member @t5 @t4)) % 0.29/0.55 (define @t7 () (tptp.member @t5 @t1)) % 0.29/0.55 (define @t8 () (and @t7 @t6)) % 0.29/0.55 (define @t9 () (@list @t5)) % 0.29/0.55 (define @t10 () (exists @t9 @t8)) % 0.29/0.55 (define @t11 () (tptp.intersect @t1 @t4)) % 0.29/0.55 (define @t12 () (= @t11 @t10)) % 0.29/0.55 (define @t13 () (@list @t1 @t4)) % 0.29/0.55 (define @t14 () (forall @t13 @t12)) % 0.29/0.55 (define @t15 () (forall @t2 (tptp.disjoint @t1 tptp.empty_set))) % 0.29/0.55 (define @t16 () (forall @t9 (not @t8))) % 0.29/0.55 (define @t17 () (not @t16)) % 0.29/0.55 (define @t18 () (@quantifiers_skolemize @t15 0)) % 0.29/0.55 (define @t19 () (@list @t18 tptp.empty_set)) % 0.29/0.55 (define @t20 () (tptp.intersect @t18 tptp.empty_set)) % 0.29/0.55 (define @t21 () (tptp.disjoint @t18 tptp.empty_set)) % 0.29/0.55 (define @t22 () (not @t20)) % 0.29/0.55 (define @t23 () (= @t21 @t22)) % 0.29/0.55 (define @t24 () (not @t23)) % 0.29/0.55 (define @t25 () (forall @t9 (or (not (tptp.member @t5 @t18)) (not (tptp.member @t5 tptp.empty_set))))) % 0.29/0.55 (define @t26 () (not @t25)) % 0.29/0.55 (define @t27 () (= @t20 @t26)) % 0.29/0.55 (define @t28 () (@list false false)) % 0.29/0.55 (define @t29 () (@quantifiers_skolemize @t25 0)) % 0.29/0.55 (define @t30 () (tptp.member @t29 tptp.empty_set)) % 0.29/0.55 (define @t31 () (not @t30)) % 0.29/0.55 (define @t32 () (or (not (tptp.member @t29 @t18)) @t31)) % 0.29/0.55 (assume @p1 @t3) % 0.29/0.55 (assume @p2 @t14) % 0.29/0.55 (assume @p3 (forall @t13 (= (tptp.disjoint @t1 @t4) (not @t11)))) % 0.29/0.55 (assume @p4 (forall @t13 (=> @t11 (tptp.intersect @t4 @t1)))) % 0.29/0.55 (assume @p5 (forall @t2 (= (tptp.empty @t1) (forall (@list @t4) (not (tptp.member @t4 @t1)))))) % 0.29/0.55 (assume @p6 (not @t15)) % 0.29/0.55 (assume @p7 true) % 0.29/0.55 (step @p8 :rule bool-and-de-morgan :args (@t7 @t6 true)) % 0.29/0.55 (step @p9 :rule cong :premises (@p8) :args (@t16)) % 0.29/0.55 (step @p10 :rule cong :premises (@p9) :args (@t17)) % 0.29/0.55 (step @p11 :rule exists-elim :args ((= @t10 @t17))) % 0.29/0.55 (step @p12 :rule trans :premises (@p11 @p10)) % 0.29/0.55 (step @p13 :rule refl :args (@t11)) % 0.29/0.55 (step @p14 :rule cong :premises (@p13 @p12) :args (@t12)) % 0.29/0.55 (step @p15 :rule cong :premises (@p14) :args (@t14)) % 0.29/0.55 (step @p16 :rule eq_resolve :premises (@p2 @p15)) % 0.29/0.55 (step @p17 :rule instantiate :premises (@p16) :args (@t19)) % 0.29/0.55 (step @p18 :rule instantiate :premises (@p3) :args (@t19)) % 0.29/0.55 (step @p19 :rule skolemize :premises (@p6)) % 0.29/0.55 (step @p20 :rule bool-double-not-elim :args (@t20)) % 0.29/0.55 (step @p21 :rule refl :args (@t21)) % 0.29/0.55 (step @p22 :rule refl :args (@t24)) % 0.29/0.55 (step @p23 :rule nary_cong :premises (@p22 @p21 @p20) :args ((or @t24 @t21 (not @t22)))) % 0.29/0.55 (step @p24 :rule cnf_equiv_pos2 :args (@t23)) % 0.29/0.55 (step @p25 :rule eq_resolve :premises (@p24 @p23)) % 0.29/0.55 (step @p26 :rule reordering :premises (@p25) :args ((or @t21 @t20 @t24))) % 0.29/0.55 (step @p27 :rule chain_m_resolution :premises (@p26 @p19 @p18) :args (@t20 (@list true false) (@list @t21 @t23))) % 0.29/0.55 (step @p28 :rule cnf_equiv_pos1 :args (@t27)) % 0.29/0.55 (step @p29 :rule reordering :premises (@p28) :args ((or @t22 @t26 (not @t27)))) % 0.29/0.55 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p17) :args (@t26 @t28 (@list @t20 @t27))) % 0.29/0.55 (step @p31 :rule skolemize :premises (@p30)) % 0.29/0.55 (step @p32 :rule bool-double-not-elim :args (@t30)) % 0.29/0.55 (step @p33 :rule refl :args (@t32)) % 0.29/0.55 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or @t32 (not @t31)))) % 0.29/0.55 (step @p35 :rule cnf_or_neg :args (@t32 1)) % 0.29/0.55 (step @p36 :rule eq_resolve :premises (@p35 @p34)) % 0.29/0.55 (step @p37 :rule reordering :premises (@p36) :args ((or @t30 @t32))) % 0.29/0.55 (step @p38 :rule chain_m_resolution :premises (@p37 @p31) :args (@t30 (@list true) (@list @t32))) % 0.29/0.55 (assume-push @p45 @t3) % 0.29/0.55 (step @p40 :rule instantiate :premises (@p1) :args ((@list @t29))) % 0.29/0.55 (step-pop @p46 :rule scope :premises (@p40)) % 0.29/0.55 (step @p41 :rule process_scope :premises (@p46) :args (@t31)) % 0.38/0.56 (step @p43 :rule implies_elim :premises (@p41)) % 0.38/0.56 (step @p44 false :rule chain_m_resolution :premises (@p43 @p38 @p1) :args (false @t28 (@list @t30 @t3))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------