%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET596+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 : n013.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 08:48:09 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET596+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 % 0.15/0.34 % Computer : n013.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:04:00 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.empty_set $$unsorted) % 0.37/0.57 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.57 (define @t2 () (tptp.subset @t1 tptp.empty_set)) % 0.37/0.57 (define @t3 () (=> @t2 (= @t1 tptp.empty_set))) % 0.37/0.57 (define @t4 () (@list @t1)) % 0.37/0.57 (define @t5 () (forall @t4 @t3)) % 0.37/0.57 (define @t6 () (@var "D" $$unsorted)) % 0.37/0.57 (define @t7 () (@var "C" $$unsorted)) % 0.37/0.57 (define @t8 () (tptp.intersection @t7 @t6)) % 0.37/0.57 (define @t9 () (tptp.intersection @t1 @t6)) % 0.37/0.57 (define @t10 () (tptp.subset @t9 @t8)) % 0.37/0.57 (define @t11 () (tptp.subset @t1 @t7)) % 0.37/0.57 (define @t12 () (@list @t1 @t7 @t6)) % 0.37/0.57 (define @t13 () (forall @t12 (=> @t11 @t10))) % 0.37/0.57 (define @t14 () (tptp.member @t6 @t7)) % 0.37/0.57 (define @t15 () (tptp.member @t6 @t1)) % 0.37/0.57 (define @t16 () (tptp.intersection @t1 @t7)) % 0.37/0.57 (define @t17 () (@list @t6)) % 0.37/0.57 (define @t18 () (@list @t1 @t7)) % 0.37/0.57 (define @t19 () (= @t1 @t7)) % 0.37/0.57 (define @t20 () (and @t11 (= @t8 tptp.empty_set))) % 0.37/0.57 (define @t21 () (=> @t20 (= @t9 tptp.empty_set))) % 0.37/0.57 (define @t22 () (forall @t12 @t21)) % 0.37/0.57 (define @t23 () (not @t22)) % 0.37/0.57 (define @t24 () (= tptp.empty_set @t1)) % 0.37/0.57 (define @t25 () (= tptp.empty_set @t9)) % 0.37/0.57 (define @t26 () (= tptp.empty_set @t8)) % 0.37/0.57 (define @t27 () (not @t26)) % 0.37/0.57 (define @t28 () (not @t11)) % 0.37/0.57 (define @t29 () (or @t28 @t27 @t25)) % 0.37/0.57 (define @t30 () (forall @t12 @t29)) % 0.37/0.57 (define @t31 () (@quantifiers_skolemize @t30 2)) % 0.37/0.57 (define @t32 () (@quantifiers_skolemize @t30 0)) % 0.37/0.57 (define @t33 () (tptp.intersection @t32 @t31)) % 0.37/0.57 (define @t34 () (and @t11 @t26)) % 0.37/0.57 (define @t35 () (= tptp.empty_set @t33)) % 0.37/0.57 (define @t36 () (@quantifiers_skolemize @t30 1)) % 0.37/0.57 (define @t37 () (tptp.intersection @t36 @t31)) % 0.37/0.57 (define @t38 () (= tptp.empty_set @t37)) % 0.37/0.57 (define @t39 () (not @t38)) % 0.37/0.57 (define @t40 () (tptp.subset @t32 @t36)) % 0.37/0.57 (define @t41 () (not @t40)) % 0.37/0.57 (define @t42 () (or @t41 @t39 @t35)) % 0.37/0.57 (define @t43 () (@list true)) % 0.37/0.57 (define @t44 () (@list @t42)) % 0.37/0.57 (define @t45 () (not (tptp.subset @t33 tptp.empty_set))) % 0.37/0.57 (define @t46 () (or @t45 @t35)) % 0.37/0.57 (define @t47 () (tptp.subset @t33 @t37)) % 0.37/0.57 (define @t48 () (or @t41 @t47)) % 0.37/0.57 (assume @p1 @t5) % 0.37/0.57 (assume @p2 @t13) % 0.37/0.57 (assume @p3 (forall @t4 (not (tptp.member @t1 tptp.empty_set)))) % 0.37/0.57 (assume @p4 (forall @t12 (= (tptp.member @t6 @t16) (and @t15 @t14)))) % 0.37/0.57 (assume @p5 (forall @t18 (= @t11 (forall @t17 (=> @t15 @t14))))) % 0.37/0.57 (assume @p6 (forall @t18 (= @t19 (and @t11 (tptp.subset @t7 @t1))))) % 0.37/0.57 (assume @p7 (forall @t18 (= @t16 (tptp.intersection @t7 @t1)))) % 0.37/0.57 (assume @p8 (forall @t4 (tptp.subset @t1 @t1))) % 0.37/0.57 (assume @p9 (forall @t4 (= (tptp.empty @t1) (forall (@list @t7) (not (tptp.member @t7 @t1)))))) % 0.37/0.57 (assume @p10 (forall @t18 (= @t19 (forall @t17 (= @t15 @t14))))) % 0.37/0.57 (assume @p11 @t23) % 0.37/0.57 (assume @p12 true) % 0.37/0.57 (step @p13 :rule evaluate :args ((= true false))) % 0.37/0.57 (step @p14 :rule bool-impl-elim :args (@t2 @t24)) % 0.37/0.57 (step @p15 :rule cong :premises (@p14) :args ((forall @t4 (=> @t2 @t24)))) % 0.37/0.57 (step @p16 :rule eq-symm :args (@t1 tptp.empty_set)) % 0.37/0.57 (step @p17 :rule refl :args (@t2)) % 0.37/0.57 (step @p18 :rule cong :premises (@p17 @p16) :args (@t3)) % 0.37/0.57 (step @p19 :rule cong :premises (@p18) :args (@t5)) % 0.37/0.57 (step @p20 :rule trans :premises (@p19 @p15)) % 0.37/0.57 (step @p21 :rule eq_resolve :premises (@p1 @p20)) % 0.37/0.57 (step @p22 :rule instantiate :premises (@p21) :args ((@list @t33))) % 0.37/0.57 (step @p23 :rule aci_norm :args ((= (or (or @t28 @t27) @t25) @t29))) % 0.37/0.57 (step @p24 :rule refl :args (@t25)) % 0.37/0.57 (step @p25 :rule bool-and-de-morgan :args (@t11 @t26 true)) % 0.37/0.57 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or (not @t34) @t25))) % 0.37/0.57 (step @p27 :rule trans :premises (@p26 @p23)) % 0.37/0.57 (step @p28 :rule bool-impl-elim :args (@t34 @t25)) % 0.37/0.57 (step @p29 :rule trans :premises (@p28 @p27)) % 0.37/0.57 (step @p30 :rule cong :premises (@p29) :args ((forall @t12 (=> @t34 @t25)))) % 0.37/0.57 (step @p31 :rule eq-symm :args (@t9 tptp.empty_set)) % 0.37/0.57 (step @p32 :rule eq-symm :args (@t8 tptp.empty_set)) % 0.37/0.57 (step @p33 :rule refl :args (@t11)) % 0.37/0.57 (step @p34 :rule nary_cong :premises (@p33 @p32) :args (@t20)) % 0.37/0.57 (step @p35 :rule cong :premises (@p34 @p31) :args (@t21)) % 0.37/0.57 (step @p36 :rule cong :premises (@p35) :args (@t22)) % 0.37/0.57 (step @p37 :rule trans :premises (@p36 @p30)) % 0.37/0.57 (step @p38 :rule cong :premises (@p37) :args (@t23)) % 0.37/0.57 (step @p39 :rule eq_resolve :premises (@p11 @p38)) % 0.37/0.57 (step @p40 :rule skolemize :premises (@p39)) % 0.37/0.57 (step @p41 :rule cnf_or_neg :args (@t42 2)) % 0.37/0.57 (step @p42 :rule chain_m_resolution :premises (@p41 @p40) :args ((not @t35) @t43 @t44)) % 0.37/0.57 (step @p43 :rule cnf_or_pos :args (@t46)) % 0.37/0.57 (step @p44 :rule reordering :premises (@p43) :args ((or @t35 @t45 (not @t46)))) % 0.37/0.57 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p22) :args (@t45 (@list true false) (@list @t35 @t46))) % 0.37/0.57 (step @p46 :rule false_intro :premises (@p45)) % 0.37/0.57 (step @p47 :rule bool-double-not-elim :args (@t38)) % 0.37/0.57 (step @p48 :rule refl :args (@t42)) % 0.37/0.57 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t42 (not @t39)))) % 0.37/0.57 (step @p50 :rule cnf_or_neg :args (@t42 1)) % 0.37/0.57 (step @p51 :rule eq_resolve :premises (@p50 @p49)) % 0.37/0.57 (step @p52 :rule reordering :premises (@p51) :args ((or @t38 @t42))) % 0.37/0.57 (step @p53 :rule chain_m_resolution :premises (@p52 @p40) :args (@t38 @t43 @t44)) % 0.37/0.57 (step @p54 :rule symm :premises (@p53)) % 0.37/0.57 (step @p55 :rule refl :args (@t33)) % 0.37/0.57 (step @p56 :rule cong :premises (@p55 @p54) :args (@t47)) % 0.37/0.57 (step @p57 :rule bool-impl-elim :args (@t11 @t10)) % 0.37/0.57 (step @p58 :rule cong :premises (@p57) :args (@t13)) % 0.37/0.57 (step @p59 :rule eq_resolve :premises (@p2 @p58)) % 0.37/0.57 (step @p60 :rule instantiate :premises (@p59) :args ((@list @t32 @t36 @t31))) % 0.37/0.57 (step @p61 :rule bool-double-not-elim :args (@t40)) % 0.37/0.57 (step @p62 :rule nary_cong :premises (@p48 @p61) :args ((or @t42 (not @t41)))) % 0.37/0.57 (step @p63 :rule cnf_or_neg :args (@t42 0)) % 0.37/0.57 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.37/0.57 (step @p65 :rule reordering :premises (@p64) :args ((or @t40 @t42))) % 0.37/0.57 (step @p66 :rule chain_m_resolution :premises (@p65 @p40) :args (@t40 @t43 @t44)) % 0.37/0.57 (step @p67 :rule cnf_or_pos :args (@t48)) % 0.37/0.57 (step @p68 :rule reordering :premises (@p67) :args ((or @t41 @t47 (not @t48)))) % 0.37/0.57 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p60) :args (@t47 (@list false false) (@list @t40 @t48))) % 0.37/0.57 (step @p70 :rule true_intro :premises (@p69)) % 0.37/0.57 (step @p71 :rule symm :premises (@p70)) % 0.37/0.57 (step @p72 :rule trans :premises (@p71 @p56 @p46)) % 0.37/0.57 (step @p73 false :rule eq_resolve :premises (@p72 @p13)) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------