%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET626+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 : 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 08:48:17 AM UTC 2026 % Result : Theorem 0.33s 0.58s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SET626+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n003.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 16:05:14 EDT 2026 % 0.18/0.36 % CPUTime : % 0.33/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.33/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.33/0.58 % SZS status Theorem % 0.33/0.58 % SZS output start Proof % 0.33/0.58 ( % 0.33/0.58 (declare-sort $$unsorted 0) % 0.33/0.58 (declare-const tptp.intersect (-> $$unsorted $$unsorted Bool)) % 0.33/0.58 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.33/0.58 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.33/0.58 (define @t1 () (@var "C" $$unsorted)) % 0.33/0.58 (define @t2 () (@var "D" $$unsorted)) % 0.33/0.58 (define @t3 () (tptp.member @t2 @t1)) % 0.33/0.58 (define @t4 () (@var "B" $$unsorted)) % 0.33/0.58 (define @t5 () (tptp.member @t2 @t4)) % 0.33/0.58 (define @t6 () (and @t5 @t3)) % 0.33/0.58 (define @t7 () (tptp.intersection @t4 @t1)) % 0.33/0.58 (define @t8 () (@list @t4 @t1 @t2)) % 0.33/0.58 (define @t9 () (@list @t2)) % 0.33/0.58 (define @t10 () (exists @t9 @t6)) % 0.33/0.58 (define @t11 () (tptp.intersect @t4 @t1)) % 0.33/0.58 (define @t12 () (= @t11 @t10)) % 0.33/0.58 (define @t13 () (@list @t4 @t1)) % 0.33/0.58 (define @t14 () (forall @t13 @t12)) % 0.33/0.58 (define @t15 () (tptp.intersect @t4 (tptp.intersection @t1 @t2))) % 0.33/0.58 (define @t16 () (forall @t8 (=> @t15 @t11))) % 0.33/0.58 (define @t17 () (not @t16)) % 0.33/0.58 (define @t18 () (forall @t8 (or (not @t15) @t11))) % 0.33/0.58 (define @t19 () (@quantifiers_skolemize @t18 2)) % 0.33/0.58 (define @t20 () (@quantifiers_skolemize @t18 1)) % 0.33/0.58 (define @t21 () (tptp.intersection @t20 @t19)) % 0.33/0.58 (define @t22 () (@quantifiers_skolemize @t18 0)) % 0.33/0.58 (define @t23 () (not (tptp.member @t2 @t22))) % 0.33/0.58 (define @t24 () (forall @t9 (or @t23 (not (tptp.member @t2 @t21))))) % 0.33/0.58 (define @t25 () (@quantifiers_skolemize @t24 0)) % 0.33/0.58 (define @t26 () (forall @t9 (not @t6))) % 0.33/0.58 (define @t27 () (not @t26)) % 0.33/0.58 (define @t28 () (tptp.intersect @t22 @t21)) % 0.33/0.58 (define @t29 () (tptp.intersect @t22 @t20)) % 0.33/0.58 (define @t30 () (not @t28)) % 0.33/0.58 (define @t31 () (or @t30 @t29)) % 0.33/0.58 (define @t32 () (@list true)) % 0.33/0.58 (define @t33 () (@list @t31)) % 0.33/0.58 (define @t34 () (not @t24)) % 0.33/0.58 (define @t35 () (= @t28 @t34)) % 0.33/0.58 (define @t36 () (@list false false)) % 0.33/0.58 (define @t37 () (tptp.member @t25 @t21)) % 0.33/0.58 (define @t38 () (not @t37)) % 0.33/0.58 (define @t39 () (tptp.member @t25 @t22)) % 0.33/0.58 (define @t40 () (not @t39)) % 0.33/0.58 (define @t41 () (or @t40 @t38)) % 0.33/0.58 (define @t42 () (@list @t41)) % 0.33/0.58 (define @t43 () (tptp.member @t25 @t20)) % 0.33/0.58 (define @t44 () (and @t43 (tptp.member @t25 @t19))) % 0.33/0.58 (define @t45 () (= @t37 @t44)) % 0.33/0.58 (define @t46 () (forall @t9 (or @t23 (not (tptp.member @t2 @t20))))) % 0.33/0.58 (define @t47 () (not @t46)) % 0.33/0.58 (define @t48 () (= @t29 @t47)) % 0.33/0.58 (define @t49 () (not @t48)) % 0.33/0.58 (define @t50 () (@list true false)) % 0.33/0.58 (define @t51 () (not @t43)) % 0.33/0.58 (define @t52 () (or @t40 @t51)) % 0.33/0.58 (assume @p1 (forall @t8 (= (tptp.member @t2 @t7) @t6))) % 0.33/0.58 (assume @p2 @t14) % 0.33/0.58 (assume @p3 (forall @t13 (= @t7 (tptp.intersection @t1 @t4)))) % 0.33/0.58 (assume @p4 (forall @t13 (=> @t11 (tptp.intersect @t1 @t4)))) % 0.33/0.58 (assume @p5 (forall @t13 (= (= @t4 @t1) (forall @t9 (= @t5 @t3))))) % 0.33/0.58 (assume @p6 @t17) % 0.33/0.58 (assume @p7 true) % 0.33/0.58 (step @p8 :rule instantiate :premises (@p1) :args ((@list @t20 @t19 @t25))) % 0.33/0.58 (step @p9 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.33/0.58 (step @p10 :rule cong :premises (@p9) :args (@t26)) % 0.33/0.58 (step @p11 :rule cong :premises (@p10) :args (@t27)) % 0.33/0.58 (step @p12 :rule exists-elim :args ((= @t10 @t27))) % 0.33/0.58 (step @p13 :rule trans :premises (@p12 @p11)) % 0.33/0.58 (step @p14 :rule refl :args (@t11)) % 0.33/0.58 (step @p15 :rule cong :premises (@p14 @p13) :args (@t12)) % 0.33/0.58 (step @p16 :rule cong :premises (@p15) :args (@t14)) % 0.33/0.58 (step @p17 :rule eq_resolve :premises (@p2 @p16)) % 0.33/0.58 (step @p18 :rule instantiate :premises (@p17) :args ((@list @t22 @t21))) % 0.33/0.58 (step @p19 :rule bool-impl-elim :args (@t15 @t11)) % 0.33/0.58 (step @p20 :rule cong :premises (@p19) :args (@t16)) % 0.33/0.58 (step @p21 :rule cong :premises (@p20) :args (@t17)) % 0.33/0.58 (step @p22 :rule eq_resolve :premises (@p6 @p21)) % 0.33/0.58 (step @p23 :rule skolemize :premises (@p22)) % 0.33/0.58 (step @p24 :rule bool-double-not-elim :args (@t28)) % 0.33/0.58 (step @p25 :rule refl :args (@t31)) % 0.33/0.58 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or @t31 (not @t30)))) % 0.33/0.58 (step @p27 :rule cnf_or_neg :args (@t31 0)) % 0.33/0.58 (step @p28 :rule eq_resolve :premises (@p27 @p26)) % 0.33/0.58 (step @p29 :rule reordering :premises (@p28) :args ((or @t28 @t31))) % 0.33/0.58 (step @p30 :rule chain_m_resolution :premises (@p29 @p23) :args (@t28 @t32 @t33)) % 0.33/0.58 (step @p31 :rule cnf_equiv_pos1 :args (@t35)) % 0.33/0.58 (step @p32 :rule reordering :premises (@p31) :args ((or @t30 @t34 (not @t35)))) % 0.33/0.58 (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p18) :args (@t34 @t36 (@list @t28 @t35))) % 0.33/0.58 (step @p34 :rule skolemize :premises (@p33)) % 0.33/0.58 (step @p35 :rule bool-double-not-elim :args (@t37)) % 0.33/0.58 (step @p36 :rule refl :args (@t41)) % 0.33/0.58 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t41 (not @t38)))) % 0.33/0.58 (step @p38 :rule cnf_or_neg :args (@t41 1)) % 0.33/0.58 (step @p39 :rule eq_resolve :premises (@p38 @p37)) % 0.33/0.58 (step @p40 :rule reordering :premises (@p39) :args ((or @t37 @t41))) % 0.33/0.58 (step @p41 :rule chain_m_resolution :premises (@p40 @p34) :args (@t37 @t32 @t42)) % 0.33/0.58 (step @p42 :rule cnf_equiv_pos1 :args (@t45)) % 0.33/0.58 (step @p43 :rule reordering :premises (@p42) :args ((or @t38 @t44 (not @t45)))) % 0.33/0.58 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p8) :args (@t44 @t36 (@list @t37 @t45))) % 0.33/0.58 (step @p45 :rule instantiate :premises (@p17) :args ((@list @t22 @t20))) % 0.33/0.58 (step @p46 :rule cnf_or_neg :args (@t31 1)) % 0.33/0.58 (step @p47 :rule chain_m_resolution :premises (@p46 @p23) :args ((not @t29) @t32 @t33)) % 0.33/0.58 (step @p48 :rule bool-double-not-elim :args (@t46)) % 0.33/0.58 (step @p49 :rule refl :args (@t29)) % 0.33/0.58 (step @p50 :rule refl :args (@t49)) % 0.33/0.58 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48) :args ((or @t49 @t29 (not @t47)))) % 0.33/0.58 (step @p52 :rule cnf_equiv_pos2 :args (@t48)) % 0.33/0.58 (step @p53 :rule eq_resolve :premises (@p52 @p51)) % 0.33/0.58 (step @p54 :rule reordering :premises (@p53) :args ((or @t29 @t46 @t49))) % 0.33/0.58 (step @p55 :rule chain_m_resolution :premises (@p54 @p47 @p45) :args (@t46 @t50 (@list @t29 @t48))) % 0.33/0.58 (step @p56 :rule instantiate :premises (@p55) :args ((@list @t25))) % 0.33/0.58 (step @p57 :rule bool-double-not-elim :args (@t39)) % 0.33/0.58 (step @p58 :rule nary_cong :premises (@p36 @p57) :args ((or @t41 (not @t40)))) % 0.33/0.58 (step @p59 :rule cnf_or_neg :args (@t41 0)) % 0.33/0.58 (step @p60 :rule eq_resolve :premises (@p59 @p58)) % 0.33/0.58 (step @p61 :rule reordering :premises (@p60) :args ((or @t39 @t41))) % 0.33/0.58 (step @p62 :rule chain_m_resolution :premises (@p61 @p34) :args (@t39 @t32 @t42)) % 0.33/0.58 (step @p63 :rule cnf_or_pos :args (@t52)) % 0.33/0.58 (step @p64 :rule reordering :premises (@p63) :args ((or @t40 @t51 (not @t52)))) % 0.33/0.58 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p56) :args (@t51 @t36 (@list @t39 @t52))) % 0.33/0.58 (step @p66 :rule cnf_and_pos :args (@t44 0)) % 0.33/0.58 (step @p67 :rule reordering :premises (@p66) :args ((or @t43 (not @t44)))) % 0.33/0.58 (step @p68 false :rule chain_m_resolution :premises (@p67 @p65 @p44) :args (false @t50 (@list @t43 @t44))) % 0.33/0.58 ) % 0.33/0.58 % SZS output end Proof % 0.33/0.58 % cvc5 exiting %------------------------------------------------------------------------------