%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET200+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 : n028.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 08:47:38 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET200+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 % 0.16/0.34 % Computer : n028.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 15:11:20 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (define @t1 () (@var "C" $$unsorted)) % 0.37/0.56 (define @t2 () (@var "D" $$unsorted)) % 0.37/0.56 (define @t3 () (tptp.member @t2 @t1)) % 0.37/0.56 (define @t4 () (@var "B" $$unsorted)) % 0.37/0.56 (define @t5 () (tptp.member @t2 @t4)) % 0.37/0.56 (define @t6 () (tptp.union @t4 @t1)) % 0.37/0.56 (define @t7 () (@list @t2)) % 0.37/0.56 (define @t8 () (forall @t7 (=> @t5 @t3))) % 0.37/0.56 (define @t9 () (tptp.subset @t4 @t1)) % 0.37/0.56 (define @t10 () (= @t9 @t8)) % 0.37/0.56 (define @t11 () (@list @t4 @t1)) % 0.37/0.56 (define @t12 () (forall @t11 @t10)) % 0.37/0.56 (define @t13 () (@var "E" $$unsorted)) % 0.37/0.56 (define @t14 () (tptp.subset (tptp.union @t4 @t2) (tptp.union @t1 @t13))) % 0.37/0.56 (define @t15 () (tptp.subset @t2 @t13)) % 0.37/0.56 (define @t16 () (and @t9 @t15)) % 0.37/0.56 (define @t17 () (@list @t4 @t1 @t2 @t13)) % 0.37/0.56 (define @t18 () (forall @t17 (=> @t16 @t14))) % 0.37/0.56 (define @t19 () (not @t18)) % 0.37/0.56 (define @t20 () (not @t15)) % 0.37/0.56 (define @t21 () (not @t9)) % 0.37/0.56 (define @t22 () (or @t21 @t20 @t14)) % 0.37/0.56 (define @t23 () (forall @t17 @t22)) % 0.37/0.56 (define @t24 () (@quantifiers_skolemize @t23 1)) % 0.37/0.56 (define @t25 () (@quantifiers_skolemize @t23 0)) % 0.37/0.56 (define @t26 () (tptp.subset @t25 @t24)) % 0.37/0.56 (define @t27 () (@quantifiers_skolemize @t23 3)) % 0.37/0.56 (define @t28 () (tptp.union @t24 @t27)) % 0.37/0.56 (define @t29 () (@quantifiers_skolemize @t23 2)) % 0.37/0.56 (define @t30 () (tptp.union @t25 @t29)) % 0.37/0.56 (define @t31 () (tptp.subset @t30 @t28)) % 0.37/0.56 (define @t32 () (tptp.subset @t29 @t27)) % 0.37/0.56 (define @t33 () (not @t32)) % 0.37/0.56 (define @t34 () (not @t26)) % 0.37/0.56 (define @t35 () (or @t34 @t33 @t31)) % 0.37/0.56 (define @t36 () (@list true)) % 0.37/0.56 (define @t37 () (@list @t35)) % 0.37/0.56 (define @t38 () (forall @t7 (or (not (tptp.member @t2 @t25)) (tptp.member @t2 @t24)))) % 0.37/0.56 (define @t39 () (= @t26 @t38)) % 0.37/0.56 (define @t40 () (@list false false)) % 0.37/0.56 (define @t41 () (forall @t7 (or (not (tptp.member @t2 @t30)) (tptp.member @t2 @t28)))) % 0.37/0.56 (define @t42 () (@quantifiers_skolemize @t41 0)) % 0.37/0.56 (define @t43 () (= @t31 @t41)) % 0.37/0.56 (define @t44 () (not @t41)) % 0.37/0.56 (define @t45 () (@list true false)) % 0.37/0.56 (define @t46 () (tptp.member @t42 @t30)) % 0.37/0.56 (define @t47 () (tptp.member @t42 @t28)) % 0.37/0.56 (define @t48 () (not @t46)) % 0.37/0.56 (define @t49 () (or @t48 @t47)) % 0.37/0.56 (define @t50 () (@list @t49)) % 0.37/0.56 (define @t51 () (tptp.member @t42 @t29)) % 0.37/0.56 (define @t52 () (tptp.member @t42 @t25)) % 0.37/0.56 (define @t53 () (or @t52 @t51)) % 0.37/0.56 (define @t54 () (= @t46 @t53)) % 0.37/0.56 (define @t55 () (forall @t7 (or (not (tptp.member @t2 @t29)) (tptp.member @t2 @t27)))) % 0.37/0.56 (define @t56 () (= @t32 @t55)) % 0.37/0.56 (define @t57 () (@list @t42)) % 0.37/0.56 (define @t58 () (tptp.member @t42 @t27)) % 0.37/0.56 (define @t59 () (tptp.member @t42 @t24)) % 0.37/0.56 (define @t60 () (or @t59 @t58)) % 0.37/0.56 (define @t61 () (= @t47 @t60)) % 0.37/0.56 (define @t62 () (not @t60)) % 0.37/0.56 (define @t63 () (@list @t60)) % 0.37/0.56 (define @t64 () (not @t51)) % 0.37/0.56 (define @t65 () (or @t64 @t58)) % 0.37/0.56 (define @t66 () (not @t52)) % 0.37/0.56 (define @t67 () (or @t66 @t59)) % 0.37/0.56 (define @t68 () (not @t67)) % 0.37/0.56 (assume @p1 (forall (@list @t4 @t1 @t2) (= (tptp.member @t2 @t6) (or @t5 @t3)))) % 0.37/0.56 (assume @p2 @t12) % 0.37/0.56 (assume @p3 (forall @t11 (= @t6 (tptp.union @t1 @t4)))) % 0.37/0.56 (assume @p4 (forall (@list @t4) (tptp.subset @t4 @t4))) % 0.37/0.56 (assume @p5 (forall @t11 (= (= @t4 @t1) (forall @t7 (= @t5 @t3))))) % 0.37/0.56 (assume @p6 @t19) % 0.37/0.56 (assume @p7 true) % 0.37/0.56 (step @p8 :rule bool-impl-elim :args (@t5 @t3)) % 0.37/0.56 (step @p9 :rule cong :premises (@p8) :args (@t8)) % 0.37/0.56 (step @p10 :rule refl :args (@t9)) % 0.37/0.56 (step @p11 :rule cong :premises (@p10 @p9) :args (@t10)) % 0.37/0.56 (step @p12 :rule cong :premises (@p11) :args (@t12)) % 0.37/0.56 (step @p13 :rule eq_resolve :premises (@p2 @p12)) % 0.37/0.56 (step @p14 :rule instantiate :premises (@p13) :args ((@list @t25 @t24))) % 0.37/0.56 (step @p15 :rule aci_norm :args ((= (or (or @t21 @t20) @t14) @t22))) % 0.37/0.56 (step @p16 :rule refl :args (@t14)) % 0.37/0.56 (step @p17 :rule bool-and-de-morgan :args (@t9 @t15 true)) % 0.37/0.56 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or (not @t16) @t14))) % 0.37/0.56 (step @p19 :rule trans :premises (@p18 @p15)) % 0.37/0.56 (step @p20 :rule bool-impl-elim :args (@t16 @t14)) % 0.37/0.56 (step @p21 :rule trans :premises (@p20 @p19)) % 0.37/0.56 (step @p22 :rule cong :premises (@p21) :args (@t18)) % 0.37/0.56 (step @p23 :rule cong :premises (@p22) :args (@t19)) % 0.37/0.56 (step @p24 :rule eq_resolve :premises (@p6 @p23)) % 0.37/0.56 (step @p25 :rule skolemize :premises (@p24)) % 0.37/0.56 (step @p26 :rule bool-double-not-elim :args (@t26)) % 0.37/0.56 (step @p27 :rule refl :args (@t35)) % 0.37/0.56 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t35 (not @t34)))) % 0.37/0.56 (step @p29 :rule cnf_or_neg :args (@t35 0)) % 0.37/0.56 (step @p30 :rule eq_resolve :premises (@p29 @p28)) % 0.37/0.56 (step @p31 :rule reordering :premises (@p30) :args ((or @t26 @t35))) % 0.37/0.56 (step @p32 :rule chain_m_resolution :premises (@p31 @p25) :args (@t26 @t36 @t37)) % 0.37/0.56 (step @p33 :rule cnf_equiv_pos1 :args (@t39)) % 0.37/0.56 (step @p34 :rule reordering :premises (@p33) :args ((or @t34 @t38 (not @t39)))) % 0.37/0.56 (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p14) :args (@t38 @t40 (@list @t26 @t39))) % 0.37/0.56 (step @p36 :rule instantiate :premises (@p1) :args ((@list @t25 @t29 @t42))) % 0.37/0.56 (step @p37 :rule instantiate :premises (@p13) :args ((@list @t30 @t28))) % 0.37/0.56 (step @p38 :rule cnf_or_neg :args (@t35 2)) % 0.37/0.56 (step @p39 :rule chain_m_resolution :premises (@p38 @p25) :args ((not @t31) @t36 @t37)) % 0.37/0.56 (step @p40 :rule cnf_equiv_pos2 :args (@t43)) % 0.37/0.56 (step @p41 :rule reordering :premises (@p40) :args ((or @t31 @t44 (not @t43)))) % 0.37/0.56 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p37) :args (@t44 @t45 (@list @t31 @t43))) % 0.37/0.56 (step @p43 :rule skolemize :premises (@p42)) % 0.37/0.56 (step @p44 :rule bool-double-not-elim :args (@t46)) % 0.37/0.56 (step @p45 :rule refl :args (@t49)) % 0.37/0.56 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t49 (not @t48)))) % 0.37/0.56 (step @p47 :rule cnf_or_neg :args (@t49 0)) % 0.37/0.56 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.37/0.56 (step @p49 :rule reordering :premises (@p48) :args ((or @t46 @t49))) % 0.37/0.56 (step @p50 :rule chain_m_resolution :premises (@p49 @p43) :args (@t46 @t36 @t50)) % 0.37/0.56 (step @p51 :rule cnf_equiv_pos1 :args (@t54)) % 0.37/0.56 (step @p52 :rule reordering :premises (@p51) :args ((or @t48 @t53 (not @t54)))) % 0.37/0.56 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p36) :args (@t53 @t40 (@list @t46 @t54))) % 0.37/0.56 (step @p54 :rule instantiate :premises (@p13) :args ((@list @t29 @t27))) % 0.37/0.56 (step @p55 :rule bool-double-not-elim :args (@t32)) % 0.37/0.56 (step @p56 :rule nary_cong :premises (@p27 @p55) :args ((or @t35 (not @t33)))) % 0.37/0.56 (step @p57 :rule cnf_or_neg :args (@t35 1)) % 0.37/0.56 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.37/0.56 (step @p59 :rule reordering :premises (@p58) :args ((or @t32 @t35))) % 0.37/0.56 (step @p60 :rule chain_m_resolution :premises (@p59 @p25) :args (@t32 @t36 @t37)) % 0.37/0.56 (step @p61 :rule cnf_equiv_pos1 :args (@t56)) % 0.37/0.56 (step @p62 :rule reordering :premises (@p61) :args ((or @t33 @t55 (not @t56)))) % 0.37/0.56 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p54) :args (@t55 @t40 (@list @t32 @t56))) % 0.37/0.56 (step @p64 :rule instantiate :premises (@p63) :args (@t57)) % 0.37/0.56 (step @p65 :rule instantiate :premises (@p1) :args ((@list @t24 @t27 @t42))) % 0.37/0.56 (step @p66 :rule cnf_or_neg :args (@t49 1)) % 0.37/0.56 (step @p67 :rule chain_m_resolution :premises (@p66 @p43) :args ((not @t47) @t36 @t50)) % 0.37/0.56 (step @p68 :rule cnf_equiv_pos2 :args (@t61)) % 0.37/0.56 (step @p69 :rule reordering :premises (@p68) :args ((or @t47 @t62 (not @t61)))) % 0.37/0.56 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p65) :args (@t62 @t45 (@list @t47 @t61))) % 0.37/0.56 (step @p71 :rule cnf_or_neg :args (@t60 1)) % 0.37/0.56 (step @p72 :rule chain_m_resolution :premises (@p71 @p70) :args ((not @t58) @t36 @t63)) % 0.37/0.56 (step @p73 :rule cnf_or_pos :args (@t65)) % 0.37/0.56 (step @p74 :rule reordering :premises (@p73) :args ((or @t58 @t64 (not @t65)))) % 0.37/0.56 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p64) :args (@t64 @t45 (@list @t58 @t65))) % 0.37/0.56 (step @p76 :rule cnf_or_pos :args (@t53)) % 0.37/0.56 (step @p77 :rule reordering :premises (@p76) :args ((or @t52 @t51 (not @t53)))) % 0.37/0.56 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p53) :args (@t52 @t45 (@list @t51 @t53))) % 0.37/0.56 (step @p79 :rule cnf_or_neg :args (@t60 0)) % 0.37/0.56 (step @p80 :rule chain_m_resolution :premises (@p79 @p70) :args ((not @t59) @t36 @t63)) % 0.37/0.56 (step @p81 :rule cnf_or_pos :args (@t67)) % 0.37/0.56 (step @p82 :rule reordering :premises (@p81) :args ((or @t59 @t66 @t68))) % 0.37/0.56 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p78) :args (@t68 @t45 (@list @t59 @t52))) % 0.37/0.56 (assume-push @p90 @t38) % 0.37/0.57 (step @p85 :rule instantiate :premises (@p35) :args (@t57)) % 0.37/0.57 (step-pop @p91 :rule scope :premises (@p85)) % 0.37/0.57 (step @p86 :rule process_scope :premises (@p91) :args (@t67)) % 0.37/0.57 (step @p88 :rule implies_elim :premises (@p86)) % 0.37/0.57 (step @p89 false :rule chain_m_resolution :premises (@p88 @p83 @p35) :args (false @t45 (@list @t67 @t38))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------