%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU812^2 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:53:18 AM UTC 2026 % Result : Theorem 0.33s 0.57s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU812^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n011.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 17:53:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.50 %----Proving TH0 % 0.33/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.33/0.57 % SZS status Theorem % 0.33/0.57 % SZS output start Proof % 0.33/0.57 ( % 0.33/0.57 (declare-sort $$unsorted 0) % 0.33/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.33/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.33/0.57 (define tptp.transitiveset () (let ((_let_1 (@var "A" $$unsorted))) (let ((_let_2 (@var "X" $$unsorted))) (lambda (@list _let_1) (forall (@list _let_2) (=> (_ (_ tptp.in _let_2) _let_1) (_ (_ tptp.subset _let_2) _let_1))))))) % 0.33/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.33/0.57 (define @t2 () (@var "A" $$unsorted)) % 0.33/0.57 (define @t3 () (_ (_ tptp.subset @t2) @t1)) % 0.33/0.57 (define @t4 () (_ (_ tptp.in @t2) @t1)) % 0.33/0.57 (define @t5 () (@list @t2)) % 0.33/0.57 (define @t6 () (forall @t5 (=> @t4 @t3))) % 0.33/0.57 (define @t7 () (=> (_ tptp.transitiveset @t1) @t6)) % 0.33/0.57 (define @t8 () (@list @t1)) % 0.33/0.57 (define @t9 () (forall @t8 @t7)) % 0.33/0.57 (define @t10 () (not @t9)) % 0.33/0.57 (define @t11 () (_ (_ tptp.subset @t1) @t2)) % 0.33/0.57 (define @t12 () (_ (_ tptp.in @t1) @t2)) % 0.33/0.57 (define @t13 () (forall @t8 (=> @t12 @t11))) % 0.33/0.57 (define @t14 () (lambda @t5 @t13)) % 0.33/0.57 (define @t15 () (@var "BOUND_VARIABLE_7483" $$unsorted)) % 0.33/0.57 (define @t16 () (tptp.subset @t15 @t1)) % 0.33/0.57 (define @t17 () (not (tptp.in @t15 @t1))) % 0.33/0.57 (define @t18 () (@var "BOUND_VARIABLE_7455" $$unsorted)) % 0.33/0.57 (define @t19 () (@list @t18)) % 0.33/0.57 (define @t20 () (forall @t19 (or (not (tptp.in @t18 @t1)) (tptp.subset @t18 @t1)))) % 0.33/0.57 (define @t21 () (not @t20)) % 0.33/0.57 (define @t22 () (or @t21 @t17 @t16)) % 0.33/0.57 (define @t23 () (or @t17 @t16)) % 0.33/0.57 (define @t24 () (or @t21 @t23)) % 0.33/0.57 (define @t25 () (@list @t1 @t15)) % 0.33/0.57 (define @t26 () (forall @t25 @t24)) % 0.33/0.57 (define @t27 () (@list @t15)) % 0.33/0.57 (define @t28 () (forall @t27 @t24)) % 0.33/0.57 (define @t29 () (forall @t27 @t23)) % 0.33/0.57 (define @t30 () (or @t21 @t29)) % 0.33/0.57 (define @t31 () (tptp.subset @t2 @t1)) % 0.33/0.57 (define @t32 () (tptp.in @t2 @t1)) % 0.33/0.57 (define @t33 () (forall @t5 (or (not @t32) @t31))) % 0.33/0.57 (define @t34 () (not @t4)) % 0.33/0.57 (define @t35 () (or @t34 @t3)) % 0.33/0.57 (define @t36 () (tptp.subset @t1 @t2)) % 0.33/0.57 (define @t37 () (tptp.in @t1 @t2)) % 0.33/0.57 (define @t38 () (forall @t8 (or (not @t37) @t36))) % 0.33/0.57 (define @t39 () (lambda @t5 @t38)) % 0.33/0.57 (define @t40 () (=> (_ @t39 @t1) @t6)) % 0.33/0.57 (define @t41 () (forall @t8 @t40)) % 0.33/0.57 (define @t42 () (not @t12)) % 0.33/0.57 (define @t43 () (or @t42 @t11)) % 0.33/0.57 (define @t44 () (forall @t25 @t22)) % 0.33/0.57 (define @t45 () (@quantifiers_skolemize @t44 0)) % 0.33/0.57 (define @t46 () (forall @t19 (or (not (tptp.in @t18 @t45)) (tptp.subset @t18 @t45)))) % 0.33/0.57 (define @t47 () (@quantifiers_skolemize @t44 1)) % 0.33/0.57 (define @t48 () (tptp.subset @t47 @t45)) % 0.33/0.57 (define @t49 () (tptp.in @t47 @t45)) % 0.33/0.57 (define @t50 () (not @t49)) % 0.33/0.57 (define @t51 () (not @t46)) % 0.33/0.57 (define @t52 () (or @t51 @t50 @t48)) % 0.33/0.57 (define @t53 () (@list true)) % 0.33/0.57 (define @t54 () (@list @t52)) % 0.33/0.57 (define @t55 () (or @t50 @t48)) % 0.33/0.57 (define @t56 () (not @t55)) % 0.33/0.57 (assume @p1 @t10) % 0.33/0.57 (assume @p2 true) % 0.33/0.57 (step @p3 (= tptp.transitiveset @t14) :rule refl :args (@t14)) % 0.33/0.57 (step @p4 :rule aci_norm :args ((= @t24 @t22))) % 0.33/0.57 (step @p5 :rule cong :premises (@p4) :args (@t26)) % 0.33/0.57 (step @p6 :rule quant-merge-prenex :args ((= (forall @t8 @t28) @t26))) % 0.33/0.57 (step @p7 :rule alpha_equiv :args (@t29 (@list @t15) (@list @t2))) % 0.33/0.57 (step @p8 :rule refl :args (@t21)) % 0.33/0.57 (step @p9 :rule nary_cong :premises (@p8 @p7) :args (@t30)) % 0.33/0.57 (step @p10 :rule quant-miniscope-or :args ((= @t28 @t30))) % 0.33/0.57 (step @p11 :rule trans :premises (@p10 @p9)) % 0.33/0.57 (step @p12 :rule symm :premises (@p11)) % 0.33/0.57 (step @p13 :rule cong :premises (@p12) :args ((forall @t8 (or @t21 @t33)))) % 0.33/0.57 (step @p14 :rule trans :premises (@p13 @p6)) % 0.33/0.57 (step @p15 :rule trans :premises (@p14 @p5)) % 0.33/0.57 (step @p16 :rule bool-impl-elim :args (@t20 @t33)) % 0.33/0.57 (step @p17 :rule cong :premises (@p16) :args ((forall @t8 (=> @t20 @t33)))) % 0.33/0.57 (step @p18 :rule trans :premises (@p17 @p15)) % 0.33/0.57 (step @p19 :rule refl :args (@t31)) % 0.33/0.57 (step @p20 :rule refl :args (@t3)) % 0.33/0.57 (step @p21 :rule cong :premises (@p20 @p19) :args ((= @t3 @t31))) % 0.33/0.57 (step @p22 :rule symm :premises (@p21)) % 0.33/0.57 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.33/0.57 (step @p24 :rule refl :args (@t32)) % 0.33/0.57 (step @p25 :rule refl :args (@t4)) % 0.33/0.57 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t4 @t32))) % 0.33/0.57 (step @p27 :rule symm :premises (@p26)) % 0.33/0.57 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.33/0.57 (step @p29 :rule cong :premises (@p28) :args (@t34)) % 0.33/0.57 (step @p30 :rule nary_cong :premises (@p29 @p23) :args (@t35)) % 0.33/0.57 (step @p31 :rule cong :premises (@p30) :args ((forall @t5 @t35))) % 0.33/0.57 (step @p32 :rule bool-impl-elim :args (@t4 @t3)) % 0.33/0.57 (step @p33 :rule cong :premises (@p32) :args (@t6)) % 0.33/0.57 (step @p34 :rule trans :premises (@p33 @p31)) % 0.33/0.57 (step @p35 :rule beta-reduce :args ((= (_ (lambda @t5 (forall @t19 (or (not (tptp.in @t18 @t2)) (tptp.subset @t18 @t2)))) @t1) @t20))) % 0.33/0.57 (step @p36 :rule refl :args (@t1)) % 0.33/0.57 (step @p37 :rule alpha_equiv :args (@t38 (@list @t1) (@list @t18))) % 0.33/0.57 (step @p38 :rule cong :premises (@p37) :args (@t39)) % 0.33/0.57 (step @p39 :rule ho_cong :premises (@p38 @p36)) % 0.33/0.57 (step @p40 :rule trans :premises (@p39 @p35)) % 0.33/0.57 (step @p41 :rule cong :premises (@p40 @p34) :args (@t40)) % 0.33/0.57 (step @p42 :rule cong :premises (@p41) :args (@t41)) % 0.33/0.57 (step @p43 :rule trans :premises (@p42 @p18)) % 0.33/0.57 (step @p44 :rule cong :premises (@p43) :args ((not @t41))) % 0.33/0.57 (step @p45 :rule refl :args (@t6)) % 0.33/0.57 (step @p46 :rule refl :args (@t1)) % 0.33/0.57 (step @p47 :rule refl :args (@t36)) % 0.33/0.57 (step @p48 :rule refl :args (@t11)) % 0.33/0.57 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t11 @t36))) % 0.33/0.57 (step @p50 :rule symm :premises (@p49)) % 0.33/0.57 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.33/0.57 (step @p52 :rule refl :args (@t37)) % 0.33/0.57 (step @p53 :rule refl :args (@t12)) % 0.33/0.57 (step @p54 :rule cong :premises (@p53 @p52) :args ((= @t12 @t37))) % 0.33/0.57 (step @p55 :rule symm :premises (@p54)) % 0.33/0.57 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 0.33/0.57 (step @p57 :rule cong :premises (@p56) :args (@t42)) % 0.33/0.57 (step @p58 :rule nary_cong :premises (@p57 @p51) :args (@t43)) % 0.33/0.57 (step @p59 :rule cong :premises (@p58) :args ((forall @t8 @t43))) % 0.33/0.57 (step @p60 :rule bool-impl-elim :args (@t12 @t11)) % 0.33/0.57 (step @p61 :rule cong :premises (@p60) :args (@t13)) % 0.33/0.57 (step @p62 :rule trans :premises (@p61 @p59)) % 0.33/0.57 (step @p63 :rule cong :premises (@p62) :args (@t14)) % 0.33/0.57 (step @p64 :rule trans :premises (@p3 @p63)) % 0.33/0.57 (step @p65 :rule ho_cong :premises (@p64 @p46)) % 0.33/0.57 (step @p66 :rule cong :premises (@p65 @p45) :args (@t7)) % 0.33/0.57 (step @p67 :rule cong :premises (@p66) :args (@t9)) % 0.33/0.57 (step @p68 :rule cong :premises (@p67) :args (@t10)) % 0.33/0.57 (step @p69 :rule trans :premises (@p68 @p44)) % 0.33/0.57 (step @p70 :rule eq_resolve :premises (@p1 @p69)) % 0.33/0.57 (step @p71 :rule skolemize :premises (@p70)) % 0.33/0.57 (step @p72 :rule bool-double-not-elim :args (@t46)) % 0.33/0.57 (step @p73 :rule refl :args (@t52)) % 0.33/0.57 (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t52 (not @t51)))) % 0.33/0.57 (step @p75 :rule cnf_or_neg :args (@t52 0)) % 0.33/0.57 (step @p76 :rule eq_resolve :premises (@p75 @p74)) % 0.33/0.57 (step @p77 :rule reordering :premises (@p76) :args ((or @t46 @t52))) % 0.33/0.57 (step @p78 :rule chain_m_resolution :premises (@p77 @p71) :args (@t46 @t53 @t54)) % 0.33/0.57 (step @p79 :rule cnf_or_neg :args (@t52 2)) % 0.33/0.57 (step @p80 :rule chain_m_resolution :premises (@p79 @p71) :args ((not @t48) @t53 @t54)) % 0.33/0.57 (step @p81 :rule bool-double-not-elim :args (@t49)) % 0.33/0.57 (step @p82 :rule nary_cong :premises (@p73 @p81) :args ((or @t52 (not @t50)))) % 0.33/0.57 (step @p83 :rule cnf_or_neg :args (@t52 1)) % 0.33/0.57 (step @p84 :rule eq_resolve :premises (@p83 @p82)) % 0.33/0.57 (step @p85 :rule reordering :premises (@p84) :args ((or @t49 @t52))) % 0.33/0.57 (step @p86 :rule chain_m_resolution :premises (@p85 @p71) :args (@t49 @t53 @t54)) % 0.33/0.57 (step @p87 :rule cnf_or_pos :args (@t55)) % 0.33/0.57 (step @p88 :rule reordering :premises (@p87) :args ((or @t50 @t48 @t56))) % 0.33/0.57 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p80) :args (@t56 (@list false true) (@list @t49 @t48))) % 0.33/0.57 (assume-push @p96 @t46) % 0.33/0.57 (step @p91 :rule instantiate :premises (@p78) :args ((@list @t47))) % 0.33/0.57 (step-pop @p97 :rule scope :premises (@p91)) % 0.33/0.57 (step @p92 :rule process_scope :premises (@p97) :args (@t55)) % 0.33/0.57 (step @p94 :rule implies_elim :premises (@p92)) % 0.33/0.57 (step @p95 false :rule chain_m_resolution :premises (@p94 @p89 @p78) :args (false (@list true false) (@list @t55 @t46))) % 0.33/0.57 ) % 0.33/0.57 % SZS output end Proof % 0.33/0.57 % cvc5 exiting %------------------------------------------------------------------------------