%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET629+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 : n026.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 08:48:18 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SET629+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n026.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:05:40 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.intersect (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (define @t1 () (@var "C" $$unsorted)) % 0.38/0.57 (define @t2 () (@var "D" $$unsorted)) % 0.38/0.57 (define @t3 () (tptp.member @t2 @t1)) % 0.38/0.57 (define @t4 () (@var "B" $$unsorted)) % 0.38/0.57 (define @t5 () (tptp.member @t2 @t4)) % 0.38/0.57 (define @t6 () (and @t5 @t3)) % 0.38/0.57 (define @t7 () (tptp.intersection @t4 @t1)) % 0.38/0.57 (define @t8 () (@list @t4 @t1 @t2)) % 0.38/0.57 (define @t9 () (tptp.difference @t4 @t1)) % 0.38/0.57 (define @t10 () (@list @t2)) % 0.38/0.57 (define @t11 () (exists @t10 @t6)) % 0.38/0.57 (define @t12 () (tptp.intersect @t4 @t1)) % 0.38/0.57 (define @t13 () (= @t12 @t11)) % 0.38/0.57 (define @t14 () (@list @t4 @t1)) % 0.38/0.57 (define @t15 () (forall @t14 @t13)) % 0.38/0.57 (define @t16 () (forall @t14 (tptp.disjoint @t7 @t9))) % 0.38/0.57 (define @t17 () (@quantifiers_skolemize @t16 1)) % 0.38/0.57 (define @t18 () (@quantifiers_skolemize @t16 0)) % 0.38/0.57 (define @t19 () (tptp.difference @t18 @t17)) % 0.38/0.57 (define @t20 () (tptp.intersection @t18 @t17)) % 0.38/0.57 (define @t21 () (forall @t10 (or (not (tptp.member @t2 @t20)) (not (tptp.member @t2 @t19))))) % 0.38/0.57 (define @t22 () (@quantifiers_skolemize @t21 0)) % 0.38/0.57 (define @t23 () (@list @t18 @t17 @t22)) % 0.38/0.57 (define @t24 () (forall @t10 (not @t6))) % 0.38/0.57 (define @t25 () (not @t24)) % 0.38/0.57 (define @t26 () (@list @t20 @t19)) % 0.38/0.57 (define @t27 () (tptp.intersect @t20 @t19)) % 0.38/0.57 (define @t28 () (tptp.disjoint @t20 @t19)) % 0.38/0.57 (define @t29 () (not @t27)) % 0.38/0.57 (define @t30 () (= @t28 @t29)) % 0.38/0.57 (define @t31 () (not @t30)) % 0.38/0.57 (define @t32 () (not @t21)) % 0.38/0.57 (define @t33 () (= @t27 @t32)) % 0.38/0.57 (define @t34 () (@list false false)) % 0.38/0.57 (define @t35 () (tptp.member @t22 @t19)) % 0.38/0.57 (define @t36 () (not @t35)) % 0.38/0.57 (define @t37 () (tptp.member @t22 @t20)) % 0.38/0.57 (define @t38 () (not @t37)) % 0.38/0.57 (define @t39 () (or @t38 @t36)) % 0.38/0.57 (define @t40 () (@list true)) % 0.38/0.57 (define @t41 () (@list @t39)) % 0.38/0.57 (define @t42 () (tptp.member @t22 @t17)) % 0.38/0.57 (define @t43 () (not @t42)) % 0.38/0.57 (define @t44 () (tptp.member @t22 @t18)) % 0.38/0.57 (define @t45 () (and @t44 @t43)) % 0.38/0.57 (define @t46 () (= @t35 @t45)) % 0.38/0.57 (define @t47 () (and @t44 @t42)) % 0.38/0.57 (define @t48 () (= @t37 @t47)) % 0.38/0.57 (assume @p1 (forall @t8 (= (tptp.member @t2 @t7) @t6))) % 0.38/0.57 (assume @p2 (forall @t8 (= (tptp.member @t2 @t9) (and @t5 (not @t3))))) % 0.38/0.57 (assume @p3 @t15) % 0.38/0.57 (assume @p4 (forall @t14 (= (tptp.disjoint @t4 @t1) (not @t12)))) % 0.38/0.57 (assume @p5 (forall @t14 (= @t7 (tptp.intersection @t1 @t4)))) % 0.38/0.57 (assume @p6 (forall @t14 (=> @t12 (tptp.intersect @t1 @t4)))) % 0.38/0.57 (assume @p7 (forall @t14 (= (= @t4 @t1) (forall @t10 (= @t5 @t3))))) % 0.38/0.57 (assume @p8 (not @t16)) % 0.38/0.57 (assume @p9 true) % 0.38/0.57 (step @p10 :rule instantiate :premises (@p2) :args (@t23)) % 0.38/0.57 (step @p11 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.38/0.57 (step @p12 :rule cong :premises (@p11) :args (@t24)) % 0.38/0.57 (step @p13 :rule cong :premises (@p12) :args (@t25)) % 0.38/0.57 (step @p14 :rule exists-elim :args ((= @t11 @t25))) % 0.38/0.57 (step @p15 :rule trans :premises (@p14 @p13)) % 0.38/0.57 (step @p16 :rule refl :args (@t12)) % 0.38/0.57 (step @p17 :rule cong :premises (@p16 @p15) :args (@t13)) % 0.38/0.57 (step @p18 :rule cong :premises (@p17) :args (@t15)) % 0.38/0.57 (step @p19 :rule eq_resolve :premises (@p3 @p18)) % 0.38/0.57 (step @p20 :rule instantiate :premises (@p19) :args (@t26)) % 0.38/0.57 (step @p21 :rule instantiate :premises (@p4) :args (@t26)) % 0.38/0.57 (step @p22 :rule skolemize :premises (@p8)) % 0.38/0.57 (step @p23 :rule bool-double-not-elim :args (@t27)) % 0.38/0.57 (step @p24 :rule refl :args (@t28)) % 0.38/0.57 (step @p25 :rule refl :args (@t31)) % 0.38/0.57 (step @p26 :rule nary_cong :premises (@p25 @p24 @p23) :args ((or @t31 @t28 (not @t29)))) % 0.38/0.57 (step @p27 :rule cnf_equiv_pos2 :args (@t30)) % 0.38/0.57 (step @p28 :rule eq_resolve :premises (@p27 @p26)) % 0.38/0.57 (step @p29 :rule reordering :premises (@p28) :args ((or @t28 @t27 @t31))) % 0.38/0.57 (step @p30 :rule chain_m_resolution :premises (@p29 @p22 @p21) :args (@t27 (@list true false) (@list @t28 @t30))) % 0.38/0.57 (step @p31 :rule cnf_equiv_pos1 :args (@t33)) % 0.38/0.57 (step @p32 :rule reordering :premises (@p31) :args ((or @t29 @t32 (not @t33)))) % 0.38/0.57 (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p20) :args (@t32 @t34 (@list @t27 @t33))) % 0.38/0.58 (step @p34 :rule skolemize :premises (@p33)) % 0.38/0.58 (step @p35 :rule bool-double-not-elim :args (@t35)) % 0.38/0.58 (step @p36 :rule refl :args (@t39)) % 0.38/0.58 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t39 (not @t36)))) % 0.38/0.58 (step @p38 :rule cnf_or_neg :args (@t39 1)) % 0.38/0.58 (step @p39 :rule eq_resolve :premises (@p38 @p37)) % 0.38/0.58 (step @p40 :rule reordering :premises (@p39) :args ((or @t35 @t39))) % 0.38/0.58 (step @p41 :rule chain_m_resolution :premises (@p40 @p34) :args (@t35 @t40 @t41)) % 0.38/0.58 (step @p42 :rule cnf_equiv_pos1 :args (@t46)) % 0.38/0.58 (step @p43 :rule reordering :premises (@p42) :args ((or @t36 @t45 (not @t46)))) % 0.38/0.58 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p10) :args (@t45 @t34 (@list @t35 @t46))) % 0.38/0.58 (step @p45 :rule instantiate :premises (@p1) :args (@t23)) % 0.38/0.58 (step @p46 :rule bool-double-not-elim :args (@t37)) % 0.38/0.58 (step @p47 :rule nary_cong :premises (@p36 @p46) :args ((or @t39 (not @t38)))) % 0.38/0.58 (step @p48 :rule cnf_or_neg :args (@t39 0)) % 0.38/0.58 (step @p49 :rule eq_resolve :premises (@p48 @p47)) % 0.38/0.58 (step @p50 :rule reordering :premises (@p49) :args ((or @t37 @t39))) % 0.38/0.58 (step @p51 :rule chain_m_resolution :premises (@p50 @p34) :args (@t37 @t40 @t41)) % 0.38/0.58 (step @p52 :rule cnf_equiv_pos1 :args (@t48)) % 0.38/0.58 (step @p53 :rule reordering :premises (@p52) :args ((or @t38 @t47 (not @t48)))) % 0.38/0.58 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p45) :args (@t47 @t34 (@list @t37 @t48))) % 0.38/0.58 (step @p55 :rule cnf_and_pos :args (@t47 1)) % 0.38/0.58 (step @p56 :rule reordering :premises (@p55) :args ((or @t42 (not @t47)))) % 0.38/0.58 (step @p57 :rule chain_m_resolution :premises (@p56 @p54) :args (@t42 (@list false) (@list @t47))) % 0.38/0.58 (step @p58 :rule cnf_and_pos :args (@t45 1)) % 0.38/0.58 (step @p59 :rule reordering :premises (@p58) :args ((or @t43 (not @t45)))) % 0.38/0.58 (step @p60 false :rule chain_m_resolution :premises (@p59 @p57 @p44) :args (false @t34 (@list @t42 @t45))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------