%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU522^2 : 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 : n004.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 08:52:02 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU522^2 : 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 : n004.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 17:40:23 EDT 2026 % 0.15/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.38/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.setunionAx Bool) % 0.38/0.56 (declare-const tptp.setunion (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.56 (define @t3 () (_ (_ tptp.in @t2) @t1)) % 0.38/0.56 (define @t4 () (@var "Xx" $$unsorted)) % 0.38/0.56 (define @t5 () (_ tptp.in @t4)) % 0.38/0.56 (define @t6 () (_ @t5 @t2)) % 0.38/0.56 (define @t7 () (and @t6 @t3)) % 0.38/0.56 (define @t8 () (@list @t2)) % 0.38/0.56 (define @t9 () (exists @t8 @t7)) % 0.38/0.56 (define @t10 () (_ tptp.setunion @t1)) % 0.38/0.56 (define @t11 () (_ @t5 @t10)) % 0.38/0.56 (define @t12 () (= @t11 @t9)) % 0.38/0.56 (define @t13 () (@list @t1 @t4)) % 0.38/0.56 (define @t14 () (forall @t13 @t12)) % 0.38/0.56 (define @t15 () (= tptp.setunionAx @t14)) % 0.38/0.56 (define @t16 () (=> @t3 @t11)) % 0.38/0.56 (define @t17 () (@list @t1 @t4 @t2)) % 0.38/0.56 (define @t18 () (forall @t17 (=> @t6 @t16))) % 0.38/0.56 (define @t19 () (=> tptp.setunionAx @t18)) % 0.38/0.56 (define @t20 () (not @t19)) % 0.38/0.56 (define @t21 () (tptp.setunion @t1)) % 0.38/0.56 (define @t22 () (tptp.in @t4 @t21)) % 0.38/0.56 (define @t23 () (tptp.in @t2 @t1)) % 0.38/0.56 (define @t24 () (not @t23)) % 0.38/0.56 (define @t25 () (tptp.in @t4 @t2)) % 0.38/0.56 (define @t26 () (not @t25)) % 0.38/0.56 (define @t27 () (forall @t17 (or @t26 @t24 @t22))) % 0.38/0.56 (define @t28 () (not (forall @t8 (or @t26 @t24)))) % 0.38/0.56 (define @t29 () (= @t11 @t28)) % 0.38/0.56 (define @t30 () (not @t3)) % 0.38/0.56 (define @t31 () (not @t6)) % 0.38/0.56 (define @t32 () (or @t31 @t30)) % 0.38/0.56 (define @t33 () (forall @t8 (not @t7))) % 0.38/0.56 (define @t34 () (not @t33)) % 0.38/0.56 (define @t35 () (=> tptp.setunionAx @t27)) % 0.38/0.56 (define @t36 () (or @t31 @t30 @t11)) % 0.38/0.56 (define @t37 () (@quantifiers_skolemize @t27 0)) % 0.38/0.56 (define @t38 () (@quantifiers_skolemize @t27 1)) % 0.38/0.56 (define @t39 () (forall @t8 (or (not (tptp.in @t38 @t2)) (not (tptp.in @t2 @t37))))) % 0.38/0.56 (define @t40 () (not @t39)) % 0.38/0.56 (define @t41 () (tptp.in @t38 (tptp.setunion @t37))) % 0.38/0.56 (define @t42 () (forall @t13 (= @t28 @t22))) % 0.38/0.56 (define @t43 () (= @t40 @t41)) % 0.38/0.56 (define @t44 () (= @t41 @t40)) % 0.38/0.56 (define @t45 () (@quantifiers_skolemize @t27 2)) % 0.38/0.56 (define @t46 () (tptp.in @t45 @t37)) % 0.38/0.56 (define @t47 () (not @t46)) % 0.38/0.56 (define @t48 () (tptp.in @t38 @t45)) % 0.38/0.56 (define @t49 () (not @t48)) % 0.38/0.56 (define @t50 () (or @t49 @t47 @t41)) % 0.38/0.56 (define @t51 () (@list true)) % 0.38/0.56 (define @t52 () (@list @t50)) % 0.38/0.56 (define @t53 () (not @t44)) % 0.38/0.56 (define @t54 () (@list true false)) % 0.38/0.56 (define @t55 () (or @t49 @t47)) % 0.38/0.56 (define @t56 () (not @t55)) % 0.38/0.56 (assume @p1 @t15) % 0.38/0.56 (assume @p2 @t20) % 0.38/0.56 (assume @p3 true) % 0.38/0.56 (step @p4 :rule refl :args (@t27)) % 0.38/0.56 (step @p5 :rule eq-symm :args (@t22 @t28)) % 0.38/0.56 (step @p6 :rule cong :premises (@p5) :args ((forall @t13 (= @t22 @t28)))) % 0.38/0.56 (step @p7 :rule refl :args (@t28)) % 0.38/0.56 (step @p8 :rule refl :args ((tptp.in @t4 @t10))) % 0.38/0.56 (step @p9 :rule refl :args (@t21)) % 0.38/0.56 (step @p10 :rule refl :args (@t4)) % 0.38/0.56 (step @p11 :rule cong :premises (@p10 @p9) :args (@t22)) % 0.38/0.56 (step @p12 :rule trans :premises (@p11 @p8)) % 0.38/0.56 (step @p13 :rule refl :args (@t5)) % 0.38/0.56 (step @p14 :rule ho_cong :premises (@p13 @p9)) % 0.38/0.56 (step @p15 :rule cong :premises (@p14 @p12) :args ((= (_ @t5 @t21) @t22))) % 0.38/0.56 (step @p16 :rule symm :premises (@p15)) % 0.38/0.56 (step @p17 :rule refl :args (@t11)) % 0.38/0.56 (step @p18 :rule eq_resolve :premises (@p17 @p16)) % 0.38/0.56 (step @p19 :rule refl :args (@t10)) % 0.38/0.56 (step @p20 :rule cong :premises (@p19 @p9) :args ((= @t10 @t21))) % 0.38/0.56 (step @p21 :rule symm :premises (@p20)) % 0.38/0.56 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.38/0.56 (step @p23 :rule ho_cong :premises (@p13 @p22)) % 0.38/0.56 (step @p24 :rule trans :premises (@p23 @p18)) % 0.38/0.56 (step @p25 :rule cong :premises (@p24 @p7) :args (@t29)) % 0.38/0.56 (step @p26 :rule cong :premises (@p25) :args ((forall @t13 @t29))) % 0.38/0.56 (step @p27 :rule trans :premises (@p26 @p6)) % 0.38/0.56 (step @p28 :rule refl :args (@t23)) % 0.38/0.56 (step @p29 :rule refl :args (@t3)) % 0.38/0.56 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t3 @t23))) % 0.38/0.56 (step @p31 :rule symm :premises (@p30)) % 0.38/0.56 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.38/0.56 (step @p33 :rule cong :premises (@p32) :args (@t30)) % 0.38/0.56 (step @p34 :rule refl :args (@t25)) % 0.38/0.56 (step @p35 :rule refl :args (@t6)) % 0.38/0.56 (step @p36 :rule cong :premises (@p35 @p34) :args ((= @t6 @t25))) % 0.38/0.56 (step @p37 :rule symm :premises (@p36)) % 0.38/0.56 (step @p38 :rule eq_resolve :premises (@p35 @p37)) % 0.38/0.56 (step @p39 :rule cong :premises (@p38) :args (@t31)) % 0.38/0.56 (step @p40 :rule nary_cong :premises (@p39 @p33) :args (@t32)) % 0.38/0.56 (step @p41 :rule cong :premises (@p40) :args ((forall @t8 @t32))) % 0.38/0.56 (step @p42 :rule bool-and-de-morgan :args (@t6 @t3 true)) % 0.38/0.56 (step @p43 :rule cong :premises (@p42) :args (@t33)) % 0.38/0.56 (step @p44 :rule trans :premises (@p43 @p41)) % 0.38/0.56 (step @p45 :rule cong :premises (@p44) :args (@t34)) % 0.38/0.56 (step @p46 :rule exists-elim :args ((= @t9 @t34))) % 0.38/0.56 (step @p47 :rule trans :premises (@p46 @p45)) % 0.38/0.56 (step @p48 :rule refl :args (@t11)) % 0.38/0.56 (step @p49 :rule cong :premises (@p48 @p47) :args (@t12)) % 0.38/0.56 (step @p50 :rule cong :premises (@p49) :args (@t14)) % 0.38/0.56 (step @p51 :rule trans :premises (@p50 @p27)) % 0.38/0.56 (step @p52 :rule refl :args (tptp.setunionAx)) % 0.38/0.56 (step @p53 :rule cong :premises (@p52 @p51) :args (@t15)) % 0.38/0.56 (step @p54 :rule eq_resolve :premises (@p1 @p53)) % 0.38/0.56 (step @p55 :rule cong :premises (@p54 @p4) :args (@t35)) % 0.38/0.56 (step @p56 :rule cong :premises (@p55) :args ((not @t35))) % 0.38/0.56 (step @p57 :rule nary_cong :premises (@p39 @p33 @p24) :args (@t36)) % 0.38/0.56 (step @p58 :rule cong :premises (@p57) :args ((forall @t17 @t36))) % 0.38/0.56 (step @p59 :rule aci_norm :args ((= (or @t31 (or @t30 @t11)) @t36))) % 0.38/0.56 (step @p60 :rule bool-impl-elim :args (@t3 @t11)) % 0.38/0.56 (step @p61 :rule refl :args (@t31)) % 0.38/0.56 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t31 @t16))) % 0.38/0.56 (step @p63 :rule trans :premises (@p62 @p59)) % 0.38/0.56 (step @p64 :rule bool-impl-elim :args (@t6 @t16)) % 0.38/0.56 (step @p65 :rule trans :premises (@p64 @p63)) % 0.38/0.56 (step @p66 :rule cong :premises (@p65) :args (@t18)) % 0.38/0.56 (step @p67 :rule trans :premises (@p66 @p58)) % 0.38/0.56 (step @p68 :rule cong :premises (@p52 @p67) :args (@t19)) % 0.38/0.56 (step @p69 :rule cong :premises (@p68) :args (@t20)) % 0.38/0.56 (step @p70 :rule trans :premises (@p69 @p56)) % 0.38/0.56 (step @p71 :rule eq_resolve :premises (@p2 @p70)) % 0.38/0.56 (step @p72 :rule not_implies_elim1 :premises (@p71)) % 0.38/0.56 (step @p73 :rule eq-symm :args (@t40 @t41)) % 0.38/0.56 (step @p74 :rule refl :args (@t42)) % 0.38/0.56 (step @p75 :rule cong :premises (@p74 @p73) :args ((=> @t42 @t43))) % 0.38/0.56 (assume-push @p117 @t42) % 0.38/0.56 (step @p77 :rule instantiate :premises (@p72) :args ((@list @t37 @t38))) % 0.38/0.57 (step-pop @p118 :rule scope :premises (@p77)) % 0.38/0.57 (step @p78 :rule process_scope :premises (@p118) :args (@t43)) % 0.38/0.57 (step @p80 :rule eq_resolve :premises (@p78 @p75)) % 0.38/0.57 (step @p81 :rule implies_elim :premises (@p80)) % 0.38/0.57 (step @p82 :rule chain_m_resolution :premises (@p81 @p72) :args (@t44 (@list false) (@list @t42))) % 0.38/0.57 (step @p83 :rule not_implies_elim2 :premises (@p71)) % 0.38/0.57 (step @p84 :rule skolemize :premises (@p83)) % 0.38/0.57 (step @p85 :rule cnf_or_neg :args (@t50 2)) % 0.38/0.57 (step @p86 :rule chain_m_resolution :premises (@p85 @p84) :args ((not @t41) @t51 @t52)) % 0.38/0.57 (step @p87 :rule bool-double-not-elim :args (@t39)) % 0.38/0.57 (step @p88 :rule refl :args (@t41)) % 0.38/0.57 (step @p89 :rule refl :args (@t53)) % 0.38/0.57 (step @p90 :rule nary_cong :premises (@p89 @p88 @p87) :args ((or @t53 @t41 (not @t40)))) % 0.38/0.57 (step @p91 :rule cnf_equiv_pos2 :args (@t44)) % 0.38/0.57 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 0.38/0.57 (step @p93 :rule reordering :premises (@p92) :args ((or @t41 @t39 @t53))) % 0.38/0.57 (step @p94 :rule chain_m_resolution :premises (@p93 @p86 @p82) :args (@t39 @t54 (@list @t41 @t44))) % 0.38/0.57 (step @p95 :rule bool-double-not-elim :args (@t46)) % 0.38/0.57 (step @p96 :rule refl :args (@t50)) % 0.38/0.57 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t50 (not @t47)))) % 0.38/0.57 (step @p98 :rule cnf_or_neg :args (@t50 1)) % 0.38/0.57 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 0.38/0.57 (step @p100 :rule reordering :premises (@p99) :args ((or @t46 @t50))) % 0.38/0.57 (step @p101 :rule chain_m_resolution :premises (@p100 @p84) :args (@t46 @t51 @t52)) % 0.38/0.57 (step @p102 :rule bool-double-not-elim :args (@t48)) % 0.38/0.57 (step @p103 :rule nary_cong :premises (@p96 @p102) :args ((or @t50 (not @t49)))) % 0.38/0.57 (step @p104 :rule cnf_or_neg :args (@t50 0)) % 0.38/0.57 (step @p105 :rule eq_resolve :premises (@p104 @p103)) % 0.38/0.57 (step @p106 :rule reordering :premises (@p105) :args ((or @t48 @t50))) % 0.38/0.57 (step @p107 :rule chain_m_resolution :premises (@p106 @p84) :args (@t48 @t51 @t52)) % 0.38/0.57 (step @p108 :rule cnf_or_pos :args (@t55)) % 0.38/0.57 (step @p109 :rule reordering :premises (@p108) :args ((or @t49 @t47 @t56))) % 0.38/0.57 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p101) :args (@t56 (@list false false) (@list @t48 @t46))) % 0.38/0.57 (assume-push @p119 @t39) % 0.38/0.57 (step @p112 :rule instantiate :premises (@p94) :args ((@list @t45))) % 0.38/0.57 (step-pop @p120 :rule scope :premises (@p112)) % 0.38/0.57 (step @p113 :rule process_scope :premises (@p120) :args (@t55)) % 0.38/0.57 (step @p115 :rule implies_elim :premises (@p113)) % 0.38/0.57 (step @p116 false :rule chain_m_resolution :premises (@p115 @p110 @p94) :args (false @t54 (@list @t55 @t39))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------