%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET589+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 : n009.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 08:48:07 AM UTC 2026 % Result : Theorem 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.14 % Problem : SET589+3 : TPTP v9.2.1. Released v2.2.0. % 0.11/0.15 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.36 % Computer : n009.cluster.edu % 0.17/0.36 % Model : x86_64 x86_64 % 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.36 % Memory : 8042.1875MB % 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.36 % CPULimit : 300 % 0.17/0.36 % WCLimit : 300 % 0.17/0.36 % DateTime : Tue Jun 2 16:03:29 EDT 2026 % 0.17/0.36 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (define @t1 () (@var "D" $$unsorted)) % 0.39/0.58 (define @t2 () (@var "B" $$unsorted)) % 0.39/0.58 (define @t3 () (@var "C" $$unsorted)) % 0.39/0.58 (define @t4 () (tptp.subset @t2 @t3)) % 0.39/0.58 (define @t5 () (@list @t2 @t3 @t1)) % 0.39/0.58 (define @t6 () (tptp.difference @t3 @t1)) % 0.39/0.58 (define @t7 () (tptp.member @t1 @t3)) % 0.39/0.58 (define @t8 () (tptp.member @t1 @t2)) % 0.39/0.58 (define @t9 () (@list @t1)) % 0.39/0.58 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.39/0.58 (define @t11 () (= @t4 @t10)) % 0.39/0.58 (define @t12 () (forall (@list @t2 @t3) @t11)) % 0.39/0.58 (define @t13 () (@var "E" $$unsorted)) % 0.39/0.58 (define @t14 () (tptp.subset (tptp.difference @t2 @t13) @t6)) % 0.39/0.58 (define @t15 () (tptp.subset @t1 @t13)) % 0.39/0.58 (define @t16 () (and @t4 @t15)) % 0.39/0.58 (define @t17 () (@list @t2 @t3 @t1 @t13)) % 0.39/0.58 (define @t18 () (forall @t17 (=> @t16 @t14))) % 0.39/0.58 (define @t19 () (not @t18)) % 0.39/0.58 (define @t20 () (not @t15)) % 0.39/0.58 (define @t21 () (not @t4)) % 0.39/0.58 (define @t22 () (or @t21 @t20 @t14)) % 0.39/0.58 (define @t23 () (forall @t17 @t22)) % 0.39/0.58 (define @t24 () (@quantifiers_skolemize @t23 3)) % 0.39/0.58 (define @t25 () (@quantifiers_skolemize @t23 2)) % 0.39/0.58 (define @t26 () (tptp.subset @t25 @t24)) % 0.39/0.58 (define @t27 () (@quantifiers_skolemize @t23 1)) % 0.39/0.58 (define @t28 () (tptp.difference @t27 @t25)) % 0.39/0.58 (define @t29 () (@quantifiers_skolemize @t23 0)) % 0.39/0.58 (define @t30 () (tptp.difference @t29 @t24)) % 0.39/0.58 (define @t31 () (tptp.subset @t30 @t28)) % 0.39/0.58 (define @t32 () (not @t26)) % 0.39/0.58 (define @t33 () (tptp.subset @t29 @t27)) % 0.39/0.58 (define @t34 () (not @t33)) % 0.39/0.58 (define @t35 () (or @t34 @t32 @t31)) % 0.39/0.58 (define @t36 () (@list true)) % 0.39/0.58 (define @t37 () (@list @t35)) % 0.39/0.58 (define @t38 () (forall @t9 (or (not (tptp.member @t1 @t25)) (tptp.member @t1 @t24)))) % 0.39/0.58 (define @t39 () (= @t26 @t38)) % 0.39/0.58 (define @t40 () (@list false false)) % 0.39/0.58 (define @t41 () (forall @t9 (or (not (tptp.member @t1 @t29)) (tptp.member @t1 @t27)))) % 0.39/0.58 (define @t42 () (= @t33 @t41)) % 0.39/0.58 (define @t43 () (forall @t9 (or (not (tptp.member @t1 @t30)) (tptp.member @t1 @t28)))) % 0.39/0.58 (define @t44 () (@quantifiers_skolemize @t43 0)) % 0.39/0.58 (define @t45 () (@list @t44)) % 0.39/0.58 (define @t46 () (= @t31 @t43)) % 0.39/0.58 (define @t47 () (not @t43)) % 0.39/0.58 (define @t48 () (@list true false)) % 0.39/0.58 (define @t49 () (tptp.member @t44 @t30)) % 0.39/0.58 (define @t50 () (tptp.member @t44 @t28)) % 0.39/0.58 (define @t51 () (not @t49)) % 0.39/0.58 (define @t52 () (or @t51 @t50)) % 0.39/0.58 (define @t53 () (@list @t52)) % 0.39/0.58 (define @t54 () (tptp.member @t44 @t24)) % 0.39/0.58 (define @t55 () (not @t54)) % 0.39/0.58 (define @t56 () (tptp.member @t44 @t29)) % 0.39/0.58 (define @t57 () (and @t56 @t55)) % 0.39/0.58 (define @t58 () (= @t49 @t57)) % 0.39/0.58 (define @t59 () (not @t57)) % 0.39/0.58 (define @t60 () (@list false)) % 0.39/0.58 (define @t61 () (@list @t57)) % 0.39/0.58 (define @t62 () (tptp.member @t44 @t27)) % 0.39/0.58 (define @t63 () (not @t56)) % 0.39/0.58 (define @t64 () (or @t63 @t62)) % 0.39/0.58 (define @t65 () (tptp.member @t44 @t25)) % 0.39/0.58 (define @t66 () (not @t65)) % 0.39/0.58 (define @t67 () (and @t62 @t66)) % 0.39/0.58 (define @t68 () (= @t50 @t67)) % 0.39/0.58 (define @t69 () (not @t67)) % 0.39/0.58 (define @t70 () (not @t62)) % 0.39/0.58 (define @t71 () (or @t66 @t54)) % 0.39/0.58 (define @t72 () (not @t71)) % 0.39/0.58 (assume @p1 (forall @t5 (=> (and @t4 (tptp.subset @t3 @t1)) (tptp.subset @t2 @t1)))) % 0.39/0.58 (assume @p2 (forall @t5 (=> @t4 (tptp.subset (tptp.difference @t2 @t1) @t6)))) % 0.39/0.58 (assume @p3 (forall @t5 (=> @t4 (tptp.subset (tptp.difference @t1 @t3) (tptp.difference @t1 @t2))))) % 0.39/0.58 (assume @p4 (forall @t5 (= (tptp.member @t1 (tptp.difference @t2 @t3)) (and @t8 (not @t7))))) % 0.39/0.58 (assume @p5 @t12) % 0.39/0.58 (assume @p6 (forall (@list @t2) (tptp.subset @t2 @t2))) % 0.39/0.58 (assume @p7 @t19) % 0.39/0.58 (assume @p8 true) % 0.39/0.58 (step @p9 :rule bool-impl-elim :args (@t8 @t7)) % 0.39/0.58 (step @p10 :rule cong :premises (@p9) :args (@t10)) % 0.39/0.58 (step @p11 :rule refl :args (@t4)) % 0.39/0.58 (step @p12 :rule cong :premises (@p11 @p10) :args (@t11)) % 0.39/0.58 (step @p13 :rule cong :premises (@p12) :args (@t12)) % 0.39/0.58 (step @p14 :rule eq_resolve :premises (@p5 @p13)) % 0.39/0.58 (step @p15 :rule instantiate :premises (@p14) :args ((@list @t25 @t24))) % 0.39/0.58 (step @p16 :rule aci_norm :args ((= (or (or @t21 @t20) @t14) @t22))) % 0.39/0.58 (step @p17 :rule refl :args (@t14)) % 0.39/0.58 (step @p18 :rule bool-and-de-morgan :args (@t4 @t15 true)) % 0.39/0.58 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or (not @t16) @t14))) % 0.39/0.58 (step @p20 :rule trans :premises (@p19 @p16)) % 0.39/0.58 (step @p21 :rule bool-impl-elim :args (@t16 @t14)) % 0.39/0.58 (step @p22 :rule trans :premises (@p21 @p20)) % 0.39/0.58 (step @p23 :rule cong :premises (@p22) :args (@t18)) % 0.39/0.58 (step @p24 :rule cong :premises (@p23) :args (@t19)) % 0.39/0.58 (step @p25 :rule eq_resolve :premises (@p7 @p24)) % 0.39/0.58 (step @p26 :rule skolemize :premises (@p25)) % 0.39/0.58 (step @p27 :rule bool-double-not-elim :args (@t26)) % 0.39/0.58 (step @p28 :rule refl :args (@t35)) % 0.39/0.58 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t35 (not @t32)))) % 0.39/0.58 (step @p30 :rule cnf_or_neg :args (@t35 1)) % 0.39/0.58 (step @p31 :rule eq_resolve :premises (@p30 @p29)) % 0.39/0.58 (step @p32 :rule reordering :premises (@p31) :args ((or @t26 @t35))) % 0.39/0.58 (step @p33 :rule chain_m_resolution :premises (@p32 @p26) :args (@t26 @t36 @t37)) % 0.39/0.58 (step @p34 :rule cnf_equiv_pos1 :args (@t39)) % 0.39/0.58 (step @p35 :rule reordering :premises (@p34) :args ((or @t32 @t38 (not @t39)))) % 0.39/0.58 (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p15) :args (@t38 @t40 (@list @t26 @t39))) % 0.39/0.58 (step @p37 :rule instantiate :premises (@p14) :args ((@list @t29 @t27))) % 0.39/0.58 (step @p38 :rule bool-double-not-elim :args (@t33)) % 0.39/0.58 (step @p39 :rule nary_cong :premises (@p28 @p38) :args ((or @t35 (not @t34)))) % 0.39/0.58 (step @p40 :rule cnf_or_neg :args (@t35 0)) % 0.39/0.58 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 0.39/0.58 (step @p42 :rule reordering :premises (@p41) :args ((or @t33 @t35))) % 0.39/0.58 (step @p43 :rule chain_m_resolution :premises (@p42 @p26) :args (@t33 @t36 @t37)) % 0.39/0.58 (step @p44 :rule cnf_equiv_pos1 :args (@t42)) % 0.39/0.58 (step @p45 :rule reordering :premises (@p44) :args ((or @t34 @t41 (not @t42)))) % 0.39/0.58 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p37) :args (@t41 @t40 (@list @t33 @t42))) % 0.39/0.58 (step @p47 :rule instantiate :premises (@p46) :args (@t45)) % 0.39/0.58 (step @p48 :rule instantiate :premises (@p4) :args ((@list @t29 @t24 @t44))) % 0.39/0.58 (step @p49 :rule instantiate :premises (@p14) :args ((@list @t30 @t28))) % 0.39/0.58 (step @p50 :rule cnf_or_neg :args (@t35 2)) % 0.39/0.58 (step @p51 :rule chain_m_resolution :premises (@p50 @p26) :args ((not @t31) @t36 @t37)) % 0.39/0.58 (step @p52 :rule cnf_equiv_pos2 :args (@t46)) % 0.39/0.58 (step @p53 :rule reordering :premises (@p52) :args ((or @t31 @t47 (not @t46)))) % 0.39/0.58 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p49) :args (@t47 @t48 (@list @t31 @t46))) % 0.39/0.58 (step @p55 :rule skolemize :premises (@p54)) % 0.39/0.58 (step @p56 :rule bool-double-not-elim :args (@t49)) % 0.39/0.58 (step @p57 :rule refl :args (@t52)) % 0.39/0.58 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t52 (not @t51)))) % 0.39/0.58 (step @p59 :rule cnf_or_neg :args (@t52 0)) % 0.39/0.58 (step @p60 :rule eq_resolve :premises (@p59 @p58)) % 0.39/0.58 (step @p61 :rule reordering :premises (@p60) :args ((or @t49 @t52))) % 0.39/0.58 (step @p62 :rule chain_m_resolution :premises (@p61 @p55) :args (@t49 @t36 @t53)) % 0.39/0.58 (step @p63 :rule cnf_equiv_pos1 :args (@t58)) % 0.39/0.58 (step @p64 :rule reordering :premises (@p63) :args ((or @t51 @t57 (not @t58)))) % 0.39/0.58 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p48) :args (@t57 @t40 (@list @t49 @t58))) % 0.39/0.58 (step @p66 :rule cnf_and_pos :args (@t57 0)) % 0.39/0.58 (step @p67 :rule reordering :premises (@p66) :args ((or @t56 @t59))) % 0.39/0.58 (step @p68 :rule chain_m_resolution :premises (@p67 @p65) :args (@t56 @t60 @t61)) % 0.39/0.58 (step @p69 :rule cnf_or_pos :args (@t64)) % 0.39/0.58 (step @p70 :rule reordering :premises (@p69) :args ((or @t62 @t63 (not @t64)))) % 0.39/0.58 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p47) :args (@t62 @t40 (@list @t56 @t64))) % 0.39/0.58 (step @p72 :rule instantiate :premises (@p4) :args ((@list @t27 @t25 @t44))) % 0.39/0.58 (step @p73 :rule cnf_or_neg :args (@t52 1)) % 0.39/0.58 (step @p74 :rule chain_m_resolution :premises (@p73 @p55) :args ((not @t50) @t36 @t53)) % 0.39/0.58 (step @p75 :rule cnf_equiv_pos2 :args (@t68)) % 0.39/0.58 (step @p76 :rule reordering :premises (@p75) :args ((or @t50 @t69 (not @t68)))) % 0.39/0.58 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p72) :args (@t69 @t48 (@list @t50 @t68))) % 0.39/0.58 (step @p78 :rule bool-double-not-elim :args (@t65)) % 0.39/0.58 (step @p79 :rule refl :args (@t70)) % 0.39/0.58 (step @p80 :rule refl :args (@t67)) % 0.39/0.58 (step @p81 :rule nary_cong :premises (@p80 @p79 @p78) :args ((or @t67 @t70 (not @t66)))) % 0.39/0.58 (step @p82 :rule cnf_and_neg :args (@t67)) % 0.39/0.58 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.39/0.58 (step @p84 :rule reordering :premises (@p83) :args ((or @t65 @t67 @t70))) % 0.39/0.58 (step @p85 :rule chain_m_resolution :premises (@p84 @p77 @p71) :args (@t65 @t48 (@list @t67 @t62))) % 0.39/0.58 (step @p86 :rule cnf_and_pos :args (@t57 1)) % 0.39/0.58 (step @p87 :rule reordering :premises (@p86) :args ((or @t55 @t59))) % 0.39/0.58 (step @p88 :rule chain_m_resolution :premises (@p87 @p65) :args (@t55 @t60 @t61)) % 0.39/0.58 (step @p89 :rule cnf_or_pos :args (@t71)) % 0.39/0.58 (step @p90 :rule reordering :premises (@p89) :args ((or @t54 @t66 @t72))) % 0.39/0.58 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p85) :args (@t72 @t48 (@list @t54 @t65))) % 0.39/0.58 (assume-push @p98 @t38) % 0.39/0.58 (step @p93 :rule instantiate :premises (@p36) :args (@t45)) % 0.39/0.58 (step-pop @p99 :rule scope :premises (@p93)) % 0.39/0.58 (step @p94 :rule process_scope :premises (@p99) :args (@t71)) % 0.39/0.58 (step @p96 :rule implies_elim :premises (@p94)) % 0.39/0.58 (step @p97 false :rule chain_m_resolution :premises (@p96 @p91 @p36) :args (false @t48 (@list @t71 @t38))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------