%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET603+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 : n003.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 08:48:11 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SET603+3 : TPTP v9.2.1. Released v2.2.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n003.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % 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 16:04:14 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.empty_set $$unsorted) % 0.38/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (define @t1 () (@var "C" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.59 (define @t3 () (= @t2 @t1)) % 0.38/0.59 (define @t4 () (@var "D" $$unsorted)) % 0.38/0.59 (define @t5 () (tptp.member @t4 @t1)) % 0.38/0.59 (define @t6 () (tptp.member @t4 @t2)) % 0.38/0.59 (define @t7 () (@list @t4)) % 0.38/0.59 (define @t8 () (forall @t7 (= @t6 @t5))) % 0.38/0.59 (define @t9 () (@list @t2 @t1)) % 0.38/0.59 (define @t10 () (forall @t9 (=> @t8 @t3))) % 0.38/0.59 (define @t11 () (@list @t2)) % 0.38/0.59 (define @t12 () (forall @t11 (not (tptp.member @t2 tptp.empty_set)))) % 0.38/0.59 (define @t13 () (tptp.subset @t2 @t1)) % 0.38/0.59 (define @t14 () (tptp.difference @t2 tptp.empty_set)) % 0.38/0.59 (define @t15 () (forall @t11 (= @t14 @t2))) % 0.38/0.59 (define @t16 () (not @t15)) % 0.38/0.59 (define @t17 () (@quantifiers_skolemize (forall @t11 (= @t2 @t14)) 0)) % 0.38/0.59 (define @t18 () (tptp.difference @t17 tptp.empty_set)) % 0.38/0.59 (define @t19 () (= @t17 @t18)) % 0.38/0.59 (define @t20 () (forall @t7 (= (tptp.member @t4 @t17) (tptp.member @t4 @t18)))) % 0.38/0.59 (define @t21 () (not @t20)) % 0.38/0.59 (define @t22 () (or @t21 @t19)) % 0.38/0.59 (define @t23 () (@quantifiers_skolemize @t20 0)) % 0.38/0.59 (define @t24 () (tptp.member @t23 @t18)) % 0.38/0.59 (define @t25 () (tptp.member @t23 @t17)) % 0.38/0.59 (define @t26 () (= @t25 @t24)) % 0.38/0.59 (define @t27 () (tptp.member @t23 tptp.empty_set)) % 0.38/0.59 (define @t28 () (not @t27)) % 0.38/0.59 (define @t29 () (and @t25 @t28)) % 0.38/0.59 (define @t30 () (= @t24 @t29)) % 0.38/0.59 (define @t31 () (not @t30)) % 0.38/0.59 (define @t32 () (not @t24)) % 0.38/0.59 (define @t33 () (not @t29)) % 0.38/0.59 (define @t34 () (@list @t29 @t30 @t25 @t26)) % 0.38/0.59 (define @t35 () (not @t25)) % 0.38/0.59 (assume @p1 @t10) % 0.38/0.59 (assume @p2 (forall (@list @t2 @t1 @t4) (= (tptp.member @t4 (tptp.difference @t2 @t1)) (and @t6 (not @t5))))) % 0.38/0.59 (assume @p3 @t12) % 0.38/0.59 (assume @p4 (forall @t9 (= @t3 (and @t13 (tptp.subset @t1 @t2))))) % 0.38/0.60 (assume @p5 (forall @t9 (= @t3 @t8))) % 0.38/0.60 (assume @p6 (forall @t9 (= @t13 (forall @t7 (=> @t6 @t5))))) % 0.38/0.60 (assume @p7 (forall @t11 (tptp.subset @t2 @t2))) % 0.38/0.60 (assume @p8 (forall @t11 (= (tptp.empty @t2) (forall (@list @t1) (not (tptp.member @t1 @t2)))))) % 0.38/0.60 (assume @p9 @t16) % 0.38/0.60 (assume @p10 true) % 0.38/0.60 (step @p11 :rule bool-impl-elim :args (@t8 @t3)) % 0.38/0.60 (step @p12 :rule cong :premises (@p11) :args (@t10)) % 0.38/0.60 (step @p13 :rule eq_resolve :premises (@p1 @p12)) % 0.38/0.60 (step @p14 :rule instantiate :premises (@p13) :args ((@list @t17 @t18))) % 0.38/0.60 (step @p15 :rule eq-symm :args (@t14 @t2)) % 0.38/0.60 (step @p16 :rule cong :premises (@p15) :args (@t15)) % 0.38/0.60 (step @p17 :rule cong :premises (@p16) :args (@t16)) % 0.38/0.60 (step @p18 :rule eq_resolve :premises (@p9 @p17)) % 0.38/0.60 (step @p19 :rule skolemize :premises (@p18)) % 0.38/0.60 (step @p20 :rule cnf_or_pos :args (@t22)) % 0.38/0.60 (step @p21 :rule reordering :premises (@p20) :args ((or @t19 @t21 (not @t22)))) % 0.38/0.60 (step @p22 :rule chain_m_resolution :premises (@p21 @p19 @p14) :args (@t21 (@list true false) (@list @t19 @t22))) % 0.38/0.60 (step @p23 :rule skolemize :premises (@p22)) % 0.38/0.60 (step @p24 :rule cnf_equiv_neg2 :args (@t26)) % 0.38/0.60 (step @p25 :rule instantiate :premises (@p2) :args ((@list @t17 tptp.empty_set @t23))) % 0.38/0.60 (step @p26 :rule cnf_equiv_pos1 :args (@t30)) % 0.38/0.60 (step @p27 :rule reordering :premises (@p26) :args ((or @t32 @t29 @t31))) % 0.38/0.60 (step @p28 :rule cnf_and_pos :args (@t29 0)) % 0.38/0.60 (step @p29 :rule reordering :premises (@p28) :args ((or @t25 @t33))) % 0.38/0.60 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p25 @p24 @p23) :args (@t32 (@list false false true true) @t34)) % 0.38/0.60 (step @p31 :rule cnf_equiv_neg1 :args (@t26)) % 0.38/0.60 (step @p32 :rule reordering :premises (@p31) :args ((or @t25 @t24 @t26))) % 0.38/0.60 (step @p33 :rule cnf_equiv_pos2 :args (@t30)) % 0.38/0.60 (step @p34 :rule reordering :premises (@p33) :args ((or @t24 @t33 @t31))) % 0.38/0.60 (step @p35 :rule bool-double-not-elim :args (@t27)) % 0.38/0.60 (step @p36 :rule refl :args (@t35)) % 0.38/0.60 (step @p37 :rule refl :args (@t29)) % 0.38/0.60 (step @p38 :rule nary_cong :premises (@p37 @p36 @p35) :args ((or @t29 @t35 (not @t28)))) % 0.38/0.60 (step @p39 :rule cnf_and_neg :args (@t29)) % 0.38/0.60 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 0.38/0.60 (step @p41 :rule reordering :premises (@p40) :args ((or @t35 @t27 @t29))) % 0.38/0.60 (step @p42 :rule chain_m_resolution :premises (@p41 @p34 @p25 @p32 @p23) :args ((or @t24 @t27) (@list true false false true) @t34)) % 0.38/0.60 (step @p43 :rule chain_m_resolution :premises (@p42 @p30) :args (@t27 (@list true) (@list @t24))) % 0.38/0.60 (assume-push @p50 @t12) % 0.38/0.60 (step @p45 :rule instantiate :premises (@p3) :args ((@list @t23))) % 0.38/0.60 (step-pop @p51 :rule scope :premises (@p45)) % 0.38/0.60 (step @p46 :rule process_scope :premises (@p51) :args (@t28)) % 0.38/0.60 (step @p48 :rule implies_elim :premises (@p46)) % 0.38/0.60 (step @p49 false :rule chain_m_resolution :premises (@p48 @p43 @p3) :args (false (@list false false) (@list @t27 @t12))) % 0.38/0.60 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------