%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU530^2 : TPTP v9.2.1. Released v3.7.0. % 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 08:52:05 AM UTC 2026 % Result : Theorem 0.32s 0.56s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU530^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n026.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 17:41:10 EDT 2026 % 0.15/0.34 % CPUTime : % 0.32/0.49 %----Proving TH0 % 0.32/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.32/0.56 % SZS status Theorem % 0.32/0.56 % SZS output start Proof % 0.32/0.56 ( % 0.32/0.56 (declare-sort $$unsorted 0) % 0.32/0.56 (declare-const tptp.eqinunit Bool) % 0.32/0.56 (declare-const tptp.uniqinunit Bool) % 0.32/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.32/0.56 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.56 (declare-const tptp.emptyset $$unsorted) % 0.32/0.56 (define @t1 () (@var "Xy" $$unsorted)) % 0.32/0.56 (define @t2 () (@var "Xx" $$unsorted)) % 0.32/0.56 (define @t3 () (= @t2 @t1)) % 0.32/0.56 (define @t4 () (_ (_ tptp.setadjoin @t1) tptp.emptyset)) % 0.32/0.56 (define @t5 () (_ tptp.in @t2)) % 0.32/0.56 (define @t6 () (_ @t5 @t4)) % 0.32/0.56 (define @t7 () (@list @t2 @t1)) % 0.32/0.56 (define @t8 () (forall @t7 (=> @t6 @t3))) % 0.32/0.56 (define @t9 () (= tptp.uniqinunit @t8)) % 0.32/0.56 (define @t10 () (forall @t7 (=> @t3 @t6))) % 0.32/0.56 (define @t11 () (= tptp.eqinunit @t10)) % 0.32/0.56 (define @t12 () (_ (_ tptp.setadjoin @t2) tptp.emptyset)) % 0.32/0.56 (define @t13 () (_ tptp.in @t1)) % 0.32/0.56 (define @t14 () (_ @t13 @t12)) % 0.32/0.56 (define @t15 () (forall @t7 (=> @t6 @t14))) % 0.32/0.56 (define @t16 () (=> tptp.eqinunit @t15)) % 0.32/0.56 (define @t17 () (=> tptp.uniqinunit @t16)) % 0.32/0.56 (define @t18 () (not @t17)) % 0.32/0.56 (define @t19 () (tptp.setadjoin @t2 tptp.emptyset)) % 0.32/0.56 (define @t20 () (tptp.in @t1 @t19)) % 0.32/0.56 (define @t21 () (tptp.setadjoin @t1 tptp.emptyset)) % 0.32/0.56 (define @t22 () (tptp.in @t2 @t21)) % 0.32/0.56 (define @t23 () (forall @t7 (or (not @t22) @t20))) % 0.32/0.56 (define @t24 () (tptp.in @t1 @t21)) % 0.32/0.56 (define @t25 () (not (= @t1 @t1))) % 0.32/0.56 (define @t26 () (or @t25 @t24)) % 0.32/0.56 (define @t27 () (@list @t1)) % 0.32/0.56 (define @t28 () (not @t3)) % 0.32/0.56 (define @t29 () (or @t28 @t28 @t22)) % 0.32/0.56 (define @t30 () (@list @t2)) % 0.32/0.56 (define @t31 () (or @t28 @t22)) % 0.32/0.56 (define @t32 () (forall @t30 @t31)) % 0.32/0.56 (define @t33 () (forall @t27 @t32)) % 0.32/0.56 (define @t34 () (forall (@list @t1 @t2) @t31)) % 0.32/0.56 (define @t35 () (or @t28 @t6)) % 0.32/0.56 (define @t36 () (=> tptp.eqinunit @t23)) % 0.32/0.56 (define @t37 () (not @t6)) % 0.32/0.56 (define @t38 () (or @t37 @t3)) % 0.32/0.56 (define @t39 () (=> tptp.uniqinunit @t36)) % 0.32/0.56 (define @t40 () (or @t37 @t14)) % 0.32/0.56 (define @t41 () (@quantifiers_skolemize @t23 0)) % 0.32/0.56 (define @t42 () (@quantifiers_skolemize @t23 1)) % 0.32/0.56 (define @t43 () (tptp.in @t42 (tptp.setadjoin @t41 tptp.emptyset))) % 0.32/0.56 (define @t44 () (tptp.setadjoin @t42 tptp.emptyset)) % 0.32/0.56 (define @t45 () (tptp.in @t41 @t44)) % 0.32/0.56 (define @t46 () (not @t45)) % 0.32/0.56 (define @t47 () (or @t46 @t43)) % 0.32/0.56 (define @t48 () (@list true)) % 0.32/0.56 (define @t49 () (@list @t47)) % 0.32/0.56 (define @t50 () (= @t41 @t42)) % 0.32/0.56 (define @t51 () (or @t46 @t50)) % 0.32/0.56 (assume @p1 @t9) % 0.32/0.56 (assume @p2 @t11) % 0.32/0.56 (assume @p3 @t18) % 0.32/0.56 (assume @p4 true) % 0.32/0.56 (step @p5 :rule evaluate :args ((= true false))) % 0.32/0.56 (step @p6 :rule refl :args (@t23)) % 0.32/0.56 (step @p7 :rule aci_norm :args ((= (or false @t24) @t24))) % 0.32/0.56 (step @p8 :rule refl :args (@t24)) % 0.32/0.56 (step @p9 :rule evaluate :args ((not true))) % 0.32/0.56 (step @p10 :rule eq-refl :args (@t1)) % 0.32/0.56 (step @p11 :rule cong :premises (@p10) :args (@t25)) % 0.32/0.56 (step @p12 :rule trans :premises (@p11 @p9)) % 0.32/0.56 (step @p13 :rule nary_cong :premises (@p12 @p8) :args (@t26)) % 0.32/0.56 (step @p14 :rule trans :premises (@p13 @p7)) % 0.32/0.56 (step @p15 :rule cong :premises (@p14) :args ((forall @t27 @t26))) % 0.32/0.56 (step @p16 :rule quant-var-elim-eq :args ((= (forall @t30 @t29) @t26))) % 0.32/0.56 (step @p17 :rule aci_norm :args ((= @t31 @t29))) % 0.32/0.56 (step @p18 :rule cong :premises (@p17) :args (@t32)) % 0.32/0.56 (step @p19 :rule trans :premises (@p18 @p16)) % 0.32/0.56 (step @p20 :rule cong :premises (@p19) :args (@t33)) % 0.32/0.56 (step @p21 :rule quant-merge-prenex :args ((= @t33 @t34))) % 0.32/0.56 (step @p22 :rule symm :premises (@p21)) % 0.32/0.56 (step @p23 :rule quant_var_reordering :args ((= (forall @t7 @t31) @t34))) % 0.32/0.56 (step @p24 :rule trans :premises (@p23 @p22 @p20)) % 0.32/0.56 (step @p25 :rule trans :premises (@p24 @p15)) % 0.32/0.56 (step @p26 :rule refl :args ((tptp.in @t2 @t4))) % 0.32/0.56 (step @p27 :rule refl :args (@t21)) % 0.32/0.56 (step @p28 :rule refl :args (@t2)) % 0.32/0.56 (step @p29 :rule cong :premises (@p28 @p27) :args (@t22)) % 0.32/0.56 (step @p30 :rule trans :premises (@p29 @p26)) % 0.32/0.56 (step @p31 :rule refl :args (@t5)) % 0.32/0.56 (step @p32 :rule ho_cong :premises (@p31 @p27)) % 0.32/0.56 (step @p33 :rule cong :premises (@p32 @p30) :args ((= (_ @t5 @t21) @t22))) % 0.32/0.56 (step @p34 :rule symm :premises (@p33)) % 0.32/0.56 (step @p35 :rule refl :args (@t6)) % 0.32/0.56 (step @p36 :rule eq_resolve :premises (@p35 @p34)) % 0.32/0.56 (step @p37 :rule refl :args (@t4)) % 0.32/0.56 (step @p38 :rule cong :premises (@p37 @p27) :args ((= @t4 @t21))) % 0.32/0.56 (step @p39 :rule symm :premises (@p38)) % 0.32/0.56 (step @p40 :rule eq_resolve :premises (@p37 @p39)) % 0.32/0.56 (step @p41 :rule ho_cong :premises (@p31 @p40)) % 0.32/0.56 (step @p42 :rule trans :premises (@p41 @p36)) % 0.32/0.56 (step @p43 :rule refl :args (@t28)) % 0.32/0.56 (step @p44 :rule nary_cong :premises (@p43 @p42) :args (@t35)) % 0.32/0.56 (step @p45 :rule cong :premises (@p44) :args ((forall @t7 @t35))) % 0.32/0.56 (step @p46 :rule trans :premises (@p45 @p25)) % 0.32/0.56 (step @p47 :rule bool-impl-elim :args (@t3 @t6)) % 0.32/0.56 (step @p48 :rule cong :premises (@p47) :args (@t10)) % 0.32/0.56 (step @p49 :rule trans :premises (@p48 @p46)) % 0.32/0.56 (step @p50 :rule refl :args (tptp.eqinunit)) % 0.32/0.56 (step @p51 :rule cong :premises (@p50 @p49) :args (@t11)) % 0.32/0.56 (step @p52 :rule eq_resolve :premises (@p2 @p51)) % 0.32/0.56 (step @p53 :rule cong :premises (@p52 @p6) :args (@t36)) % 0.32/0.56 (step @p54 :rule refl :args (@t3)) % 0.32/0.56 (step @p55 :rule cong :premises (@p42) :args (@t37)) % 0.32/0.56 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t38)) % 0.32/0.56 (step @p57 :rule cong :premises (@p56) :args ((forall @t7 @t38))) % 0.32/0.56 (step @p58 :rule bool-impl-elim :args (@t6 @t3)) % 0.32/0.56 (step @p59 :rule cong :premises (@p58) :args (@t8)) % 0.32/0.56 (step @p60 :rule trans :premises (@p59 @p57)) % 0.32/0.56 (step @p61 :rule refl :args (tptp.uniqinunit)) % 0.32/0.56 (step @p62 :rule cong :premises (@p61 @p60) :args (@t9)) % 0.32/0.56 (step @p63 :rule eq_resolve :premises (@p1 @p62)) % 0.32/0.56 (step @p64 :rule cong :premises (@p63 @p53) :args (@t39)) % 0.32/0.56 (step @p65 :rule cong :premises (@p64) :args ((not @t39))) % 0.32/0.56 (step @p66 :rule refl :args ((tptp.in @t1 @t12))) % 0.32/0.56 (step @p67 :rule refl :args (@t19)) % 0.32/0.56 (step @p68 :rule refl :args (@t1)) % 0.32/0.56 (step @p69 :rule cong :premises (@p68 @p67) :args (@t20)) % 0.32/0.56 (step @p70 :rule trans :premises (@p69 @p66)) % 0.32/0.56 (step @p71 :rule refl :args (@t13)) % 0.32/0.56 (step @p72 :rule ho_cong :premises (@p71 @p67)) % 0.32/0.56 (step @p73 :rule cong :premises (@p72 @p70) :args ((= (_ @t13 @t19) @t20))) % 0.32/0.56 (step @p74 :rule symm :premises (@p73)) % 0.32/0.56 (step @p75 :rule refl :args (@t14)) % 0.32/0.56 (step @p76 :rule eq_resolve :premises (@p75 @p74)) % 0.32/0.56 (step @p77 :rule refl :args (@t12)) % 0.32/0.56 (step @p78 :rule cong :premises (@p77 @p67) :args ((= @t12 @t19))) % 0.32/0.56 (step @p79 :rule symm :premises (@p78)) % 0.32/0.56 (step @p80 :rule eq_resolve :premises (@p77 @p79)) % 0.32/0.56 (step @p81 :rule ho_cong :premises (@p71 @p80)) % 0.32/0.56 (step @p82 :rule trans :premises (@p81 @p76)) % 0.32/0.56 (step @p83 :rule nary_cong :premises (@p55 @p82) :args (@t40)) % 0.32/0.56 (step @p84 :rule cong :premises (@p83) :args ((forall @t7 @t40))) % 0.32/0.56 (step @p85 :rule bool-impl-elim :args (@t6 @t14)) % 0.32/0.56 (step @p86 :rule cong :premises (@p85) :args (@t15)) % 0.32/0.56 (step @p87 :rule trans :premises (@p86 @p84)) % 0.32/0.56 (step @p88 :rule cong :premises (@p50 @p87) :args (@t16)) % 0.32/0.56 (step @p89 :rule cong :premises (@p61 @p88) :args (@t17)) % 0.32/0.56 (step @p90 :rule cong :premises (@p89) :args (@t18)) % 0.32/0.56 (step @p91 :rule trans :premises (@p90 @p65)) % 0.32/0.56 (step @p92 :rule eq_resolve :premises (@p3 @p91)) % 0.32/0.56 (step @p93 :rule not_implies_elim2 :premises (@p92)) % 0.32/0.56 (step @p94 :rule not_implies_elim2 :premises (@p93)) % 0.32/0.56 (step @p95 :rule skolemize :premises (@p94)) % 0.32/0.56 (step @p96 :rule cnf_or_neg :args (@t47 1)) % 0.32/0.56 (step @p97 :rule chain_m_resolution :premises (@p96 @p95) :args ((not @t43) @t48 @t49)) % 0.32/0.56 (step @p98 :rule false_intro :premises (@p97)) % 0.32/0.56 (step @p99 :rule refl :args (tptp.emptyset)) % 0.32/0.56 (step @p100 :rule not_implies_elim1 :premises (@p92)) % 0.32/0.56 (step @p101 :rule instantiate :premises (@p100) :args ((@list @t41 @t42))) % 0.32/0.56 (step @p102 :rule bool-double-not-elim :args (@t45)) % 0.32/0.56 (step @p103 :rule refl :args (@t47)) % 0.32/0.56 (step @p104 :rule nary_cong :premises (@p103 @p102) :args ((or @t47 (not @t46)))) % 0.32/0.56 (step @p105 :rule cnf_or_neg :args (@t47 0)) % 0.32/0.56 (step @p106 :rule eq_resolve :premises (@p105 @p104)) % 0.32/0.56 (step @p107 :rule reordering :premises (@p106) :args ((or @t45 @t47))) % 0.32/0.56 (step @p108 :rule chain_m_resolution :premises (@p107 @p95) :args (@t45 @t48 @t49)) % 0.32/0.56 (step @p109 :rule cnf_or_pos :args (@t51)) % 0.32/0.56 (step @p110 :rule reordering :premises (@p109) :args ((or @t46 @t50 (not @t51)))) % 0.32/0.56 (step @p111 :rule chain_m_resolution :premises (@p110 @p108 @p101) :args (@t50 (@list false false) (@list @t45 @t51))) % 0.32/0.56 (step @p112 :rule symm :premises (@p111)) % 0.32/0.56 (step @p113 :rule cong :premises (@p112 @p99) :args (@t44)) % 0.32/0.56 (step @p114 :rule cong :premises (@p111 @p113) :args (@t45)) % 0.32/0.56 (step @p115 :rule true_intro :premises (@p108)) % 0.32/0.56 (step @p116 :rule symm :premises (@p115)) % 0.32/0.56 (step @p117 :rule trans :premises (@p116 @p114 @p98)) % 0.32/0.56 (step @p118 false :rule eq_resolve :premises (@p117 @p5)) % 0.32/0.56 ) % 0.32/0.56 % SZS output end Proof % 0.32/0.56 % cvc5 exiting %------------------------------------------------------------------------------