%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET199+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 : n006.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 08:47:37 AM UTC 2026 % Result : Theorem 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET199+3 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 15:10:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.55 % SZS status Theorem % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.31/0.55 (define @t1 () (@var "C" $$unsorted)) % 0.31/0.55 (define @t2 () (@var "D" $$unsorted)) % 0.31/0.55 (define @t3 () (tptp.member @t2 @t1)) % 0.31/0.55 (define @t4 () (@var "B" $$unsorted)) % 0.31/0.55 (define @t5 () (tptp.member @t2 @t4)) % 0.31/0.55 (define @t6 () (tptp.intersection @t4 @t1)) % 0.31/0.55 (define @t7 () (@list @t4 @t1 @t2)) % 0.31/0.55 (define @t8 () (@list @t2)) % 0.31/0.55 (define @t9 () (forall @t8 (=> @t5 @t3))) % 0.31/0.55 (define @t10 () (tptp.subset @t4 @t1)) % 0.31/0.55 (define @t11 () (= @t10 @t9)) % 0.31/0.55 (define @t12 () (@list @t4 @t1)) % 0.31/0.55 (define @t13 () (forall @t12 @t11)) % 0.31/0.55 (define @t14 () (tptp.subset @t4 (tptp.intersection @t1 @t2))) % 0.31/0.55 (define @t15 () (tptp.subset @t4 @t2)) % 0.31/0.55 (define @t16 () (and @t10 @t15)) % 0.31/0.55 (define @t17 () (forall @t7 (=> @t16 @t14))) % 0.31/0.55 (define @t18 () (not @t17)) % 0.31/0.55 (define @t19 () (not @t15)) % 0.31/0.55 (define @t20 () (not @t10)) % 0.31/0.55 (define @t21 () (or @t20 @t19 @t14)) % 0.31/0.55 (define @t22 () (forall @t7 @t21)) % 0.31/0.55 (define @t23 () (@quantifiers_skolemize @t22 2)) % 0.31/0.55 (define @t24 () (@quantifiers_skolemize @t22 1)) % 0.31/0.55 (define @t25 () (tptp.intersection @t24 @t23)) % 0.31/0.55 (define @t26 () (@quantifiers_skolemize @t22 0)) % 0.31/0.55 (define @t27 () (not (tptp.member @t2 @t26))) % 0.31/0.55 (define @t28 () (forall @t8 (or @t27 (tptp.member @t2 @t25)))) % 0.31/0.55 (define @t29 () (@quantifiers_skolemize @t28 0)) % 0.31/0.55 (define @t30 () (tptp.subset @t26 @t25)) % 0.31/0.55 (define @t31 () (tptp.subset @t26 @t23)) % 0.31/0.55 (define @t32 () (not @t31)) % 0.31/0.55 (define @t33 () (tptp.subset @t26 @t24)) % 0.31/0.55 (define @t34 () (not @t33)) % 0.31/0.55 (define @t35 () (or @t34 @t32 @t30)) % 0.31/0.55 (define @t36 () (@list true)) % 0.31/0.55 (define @t37 () (@list @t35)) % 0.31/0.55 (define @t38 () (= @t30 @t28)) % 0.31/0.55 (define @t39 () (not @t28)) % 0.31/0.55 (define @t40 () (@list true false)) % 0.31/0.55 (define @t41 () (tptp.member @t29 @t25)) % 0.31/0.55 (define @t42 () (tptp.member @t29 @t26)) % 0.31/0.55 (define @t43 () (not @t42)) % 0.31/0.55 (define @t44 () (or @t43 @t41)) % 0.31/0.55 (define @t45 () (@list @t44)) % 0.31/0.55 (define @t46 () (tptp.member @t29 @t23)) % 0.31/0.55 (define @t47 () (tptp.member @t29 @t24)) % 0.31/0.55 (define @t48 () (and @t47 @t46)) % 0.31/0.55 (define @t49 () (= @t41 @t48)) % 0.31/0.55 (define @t50 () (not @t48)) % 0.31/0.55 (define @t51 () (forall @t8 (or @t27 (tptp.member @t2 @t24)))) % 0.31/0.55 (define @t52 () (= @t33 @t51)) % 0.31/0.55 (define @t53 () (@list false false)) % 0.31/0.55 (define @t54 () (@list @t29)) % 0.31/0.55 (define @t55 () (or @t43 @t47)) % 0.31/0.55 (define @t56 () (forall @t8 (or @t27 (tptp.member @t2 @t23)))) % 0.31/0.55 (define @t57 () (= @t31 @t56)) % 0.31/0.55 (define @t58 () (or @t43 @t46)) % 0.31/0.55 (assume @p1 (forall @t7 (= (tptp.member @t2 @t6) (and @t5 @t3)))) % 0.31/0.55 (assume @p2 @t13) % 0.31/0.55 (assume @p3 (forall @t12 (= @t6 (tptp.intersection @t1 @t4)))) % 0.31/0.55 (assume @p4 (forall (@list @t4) (tptp.subset @t4 @t4))) % 0.31/0.55 (assume @p5 (forall @t12 (= (= @t4 @t1) (forall @t8 (= @t5 @t3))))) % 0.31/0.55 (assume @p6 @t18) % 0.31/0.55 (assume @p7 true) % 0.31/0.55 (step @p8 :rule instantiate :premises (@p1) :args ((@list @t24 @t23 @t29))) % 0.31/0.55 (step @p9 :rule bool-impl-elim :args (@t5 @t3)) % 0.31/0.55 (step @p10 :rule cong :premises (@p9) :args (@t9)) % 0.31/0.55 (step @p11 :rule refl :args (@t10)) % 0.31/0.55 (step @p12 :rule cong :premises (@p11 @p10) :args (@t11)) % 0.31/0.55 (step @p13 :rule cong :premises (@p12) :args (@t13)) % 0.31/0.55 (step @p14 :rule eq_resolve :premises (@p2 @p13)) % 0.31/0.55 (step @p15 :rule instantiate :premises (@p14) :args ((@list @t26 @t25))) % 0.31/0.55 (step @p16 :rule aci_norm :args ((= (or (or @t20 @t19) @t14) @t21))) % 0.31/0.55 (step @p17 :rule refl :args (@t14)) % 0.31/0.55 (step @p18 :rule bool-and-de-morgan :args (@t10 @t15 true)) % 0.31/0.55 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or (not @t16) @t14))) % 0.31/0.55 (step @p20 :rule trans :premises (@p19 @p16)) % 0.31/0.55 (step @p21 :rule bool-impl-elim :args (@t16 @t14)) % 0.31/0.55 (step @p22 :rule trans :premises (@p21 @p20)) % 0.31/0.55 (step @p23 :rule cong :premises (@p22) :args (@t17)) % 0.31/0.55 (step @p24 :rule cong :premises (@p23) :args (@t18)) % 0.31/0.55 (step @p25 :rule eq_resolve :premises (@p6 @p24)) % 0.31/0.55 (step @p26 :rule skolemize :premises (@p25)) % 0.31/0.55 (step @p27 :rule cnf_or_neg :args (@t35 2)) % 0.31/0.55 (step @p28 :rule chain_m_resolution :premises (@p27 @p26) :args ((not @t30) @t36 @t37)) % 0.31/0.55 (step @p29 :rule cnf_equiv_pos2 :args (@t38)) % 0.31/0.56 (step @p30 :rule reordering :premises (@p29) :args ((or @t30 @t39 (not @t38)))) % 0.31/0.56 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p15) :args (@t39 @t40 (@list @t30 @t38))) % 0.31/0.56 (step @p32 :rule skolemize :premises (@p31)) % 0.31/0.56 (step @p33 :rule cnf_or_neg :args (@t44 1)) % 0.31/0.56 (step @p34 :rule chain_m_resolution :premises (@p33 @p32) :args ((not @t41) @t36 @t45)) % 0.31/0.56 (step @p35 :rule cnf_equiv_pos2 :args (@t49)) % 0.31/0.56 (step @p36 :rule reordering :premises (@p35) :args ((or @t41 @t50 (not @t49)))) % 0.31/0.56 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p8) :args (@t50 @t40 (@list @t41 @t49))) % 0.31/0.56 (step @p38 :rule instantiate :premises (@p14) :args ((@list @t26 @t24))) % 0.31/0.56 (step @p39 :rule bool-double-not-elim :args (@t33)) % 0.31/0.56 (step @p40 :rule refl :args (@t35)) % 0.31/0.56 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t35 (not @t34)))) % 0.31/0.56 (step @p42 :rule cnf_or_neg :args (@t35 0)) % 0.31/0.56 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 0.31/0.56 (step @p44 :rule reordering :premises (@p43) :args ((or @t33 @t35))) % 0.31/0.56 (step @p45 :rule chain_m_resolution :premises (@p44 @p26) :args (@t33 @t36 @t37)) % 0.31/0.56 (step @p46 :rule cnf_equiv_pos1 :args (@t52)) % 0.31/0.56 (step @p47 :rule reordering :premises (@p46) :args ((or @t34 @t51 (not @t52)))) % 0.31/0.56 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p38) :args (@t51 @t53 (@list @t33 @t52))) % 0.31/0.56 (step @p49 :rule instantiate :premises (@p48) :args (@t54)) % 0.31/0.56 (step @p50 :rule bool-double-not-elim :args (@t42)) % 0.31/0.56 (step @p51 :rule refl :args (@t44)) % 0.31/0.56 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t44 (not @t43)))) % 0.31/0.56 (step @p53 :rule cnf_or_neg :args (@t44 0)) % 0.31/0.56 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.31/0.56 (step @p55 :rule reordering :premises (@p54) :args ((or @t42 @t44))) % 0.31/0.56 (step @p56 :rule chain_m_resolution :premises (@p55 @p32) :args (@t42 @t36 @t45)) % 0.31/0.56 (step @p57 :rule cnf_or_pos :args (@t55)) % 0.31/0.56 (step @p58 :rule reordering :premises (@p57) :args ((or @t43 @t47 (not @t55)))) % 0.31/0.56 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p49) :args (@t47 @t53 (@list @t42 @t55))) % 0.31/0.56 (step @p60 :rule instantiate :premises (@p14) :args ((@list @t26 @t23))) % 0.31/0.56 (step @p61 :rule bool-double-not-elim :args (@t31)) % 0.31/0.56 (step @p62 :rule nary_cong :premises (@p40 @p61) :args ((or @t35 (not @t32)))) % 0.31/0.56 (step @p63 :rule cnf_or_neg :args (@t35 1)) % 0.31/0.56 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.31/0.56 (step @p65 :rule reordering :premises (@p64) :args ((or @t31 @t35))) % 0.31/0.56 (step @p66 :rule chain_m_resolution :premises (@p65 @p26) :args (@t31 @t36 @t37)) % 0.31/0.56 (step @p67 :rule cnf_equiv_pos1 :args (@t57)) % 0.31/0.56 (step @p68 :rule reordering :premises (@p67) :args ((or @t32 @t56 (not @t57)))) % 0.31/0.56 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p60) :args (@t56 @t53 (@list @t31 @t57))) % 0.31/0.56 (step @p70 :rule instantiate :premises (@p69) :args (@t54)) % 0.31/0.56 (step @p71 :rule cnf_or_pos :args (@t58)) % 0.31/0.56 (step @p72 :rule reordering :premises (@p71) :args ((or @t43 @t46 (not @t58)))) % 0.31/0.56 (step @p73 :rule chain_m_resolution :premises (@p72 @p56 @p70) :args (@t46 @t53 (@list @t42 @t58))) % 0.31/0.56 (step @p74 :rule cnf_and_neg :args (@t48)) % 0.31/0.56 (step @p75 false :rule chain_m_resolution :premises (@p74 @p73 @p59 @p37) :args (false (@list false false true) (@list @t46 @t47 @t48))) % 0.31/0.56 ) % 0.31/0.56 % SZS output end Proof % 0.31/0.56 % cvc5 exiting %------------------------------------------------------------------------------