%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU571^2 : 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 : n002.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 08:52:14 AM UTC 2026 % Result : Theorem 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU571^2 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n002.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % 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 17:42:18 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.39/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.57 % SZS status Theorem % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.setadjoinIR Bool) % 0.39/0.57 (declare-const tptp.subsetI1 Bool) % 0.39/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (define @t1 () (@var "A" $$unsorted)) % 0.39/0.57 (define @t2 () (@var "Xx" $$unsorted)) % 0.39/0.57 (define @t3 () (_ (_ tptp.setadjoin @t2) @t1)) % 0.39/0.57 (define @t4 () (@var "Xy" $$unsorted)) % 0.39/0.57 (define @t5 () (_ tptp.in @t4)) % 0.39/0.57 (define @t6 () (_ @t5 @t3)) % 0.39/0.57 (define @t7 () (_ @t5 @t1)) % 0.39/0.57 (define @t8 () (@list @t2 @t1 @t4)) % 0.39/0.57 (define @t9 () (forall @t8 (=> @t7 @t6))) % 0.39/0.57 (define @t10 () (= tptp.setadjoinIR @t9)) % 0.39/0.57 (define @t11 () (@var "B" $$unsorted)) % 0.39/0.57 (define @t12 () (_ tptp.subset @t1)) % 0.39/0.57 (define @t13 () (_ @t12 @t11)) % 0.39/0.57 (define @t14 () (_ tptp.in @t2)) % 0.39/0.57 (define @t15 () (_ @t14 @t11)) % 0.39/0.57 (define @t16 () (_ @t14 @t1)) % 0.39/0.57 (define @t17 () (@list @t2)) % 0.39/0.57 (define @t18 () (forall @t17 (=> @t16 @t15))) % 0.39/0.57 (define @t19 () (=> @t18 @t13)) % 0.39/0.57 (define @t20 () (@list @t1 @t11)) % 0.39/0.57 (define @t21 () (forall @t20 @t19)) % 0.39/0.57 (define @t22 () (= tptp.subsetI1 @t21)) % 0.39/0.57 (define @t23 () (_ @t12 @t3)) % 0.39/0.57 (define @t24 () (@list @t2 @t1)) % 0.39/0.57 (define @t25 () (forall @t24 @t23)) % 0.39/0.57 (define @t26 () (=> tptp.subsetI1 @t25)) % 0.39/0.57 (define @t27 () (=> tptp.setadjoinIR @t26)) % 0.39/0.57 (define @t28 () (not @t27)) % 0.39/0.57 (define @t29 () (tptp.setadjoin @t2 @t1)) % 0.39/0.57 (define @t30 () (tptp.subset @t1 @t29)) % 0.39/0.57 (define @t31 () (forall @t24 @t30)) % 0.39/0.57 (define @t32 () (tptp.subset @t1 @t11)) % 0.39/0.57 (define @t33 () (tptp.in @t2 @t11)) % 0.39/0.57 (define @t34 () (tptp.in @t2 @t1)) % 0.39/0.57 (define @t35 () (forall @t17 (or (not @t34) @t33))) % 0.39/0.57 (define @t36 () (not @t35)) % 0.39/0.57 (define @t37 () (or @t36 @t13)) % 0.39/0.57 (define @t38 () (not @t16)) % 0.39/0.57 (define @t39 () (or @t38 @t15)) % 0.39/0.57 (define @t40 () (=> tptp.subsetI1 @t31)) % 0.39/0.57 (define @t41 () (tptp.in @t4 @t29)) % 0.39/0.57 (define @t42 () (tptp.in @t4 @t1)) % 0.39/0.57 (define @t43 () (not @t7)) % 0.39/0.57 (define @t44 () (or @t43 @t6)) % 0.39/0.57 (define @t45 () (=> tptp.setadjoinIR @t40)) % 0.39/0.57 (define @t46 () (@quantifiers_skolemize @t31 1)) % 0.39/0.57 (define @t47 () (@quantifiers_skolemize @t31 0)) % 0.39/0.57 (define @t48 () (tptp.setadjoin @t47 @t46)) % 0.39/0.57 (define @t49 () (tptp.subset @t46 @t48)) % 0.39/0.57 (define @t50 () (forall @t17 (or (not (tptp.in @t2 @t46)) (tptp.in @t2 @t48)))) % 0.39/0.57 (define @t51 () (not @t50)) % 0.39/0.57 (define @t52 () (or @t51 @t49)) % 0.39/0.57 (define @t53 () (@list true false)) % 0.39/0.57 (define @t54 () (forall @t8 (or (not @t42) @t41))) % 0.39/0.57 (define @t55 () (@quantifiers_skolemize @t50 0)) % 0.39/0.57 (define @t56 () (or (not (tptp.in @t55 @t46)) (tptp.in @t55 @t48))) % 0.39/0.57 (assume @p1 @t10) % 0.39/0.57 (assume @p2 @t22) % 0.39/0.57 (assume @p3 @t28) % 0.39/0.57 (assume @p4 true) % 0.39/0.57 (step @p5 :rule refl :args (@t31)) % 0.39/0.57 (step @p6 :rule refl :args (@t32)) % 0.39/0.57 (step @p7 :rule refl :args (@t13)) % 0.39/0.57 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t13 @t32))) % 0.39/0.57 (step @p9 :rule symm :premises (@p8)) % 0.39/0.57 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.39/0.57 (step @p11 :rule refl :args (@t36)) % 0.39/0.57 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t37)) % 0.39/0.57 (step @p13 :rule cong :premises (@p12) :args ((forall @t20 @t37))) % 0.39/0.57 (step @p14 :rule bool-impl-elim :args (@t35 @t13)) % 0.39/0.57 (step @p15 :rule cong :premises (@p14) :args ((forall @t20 (=> @t35 @t13)))) % 0.39/0.57 (step @p16 :rule trans :premises (@p15 @p13)) % 0.39/0.57 (step @p17 :rule refl :args (@t13)) % 0.39/0.57 (step @p18 :rule refl :args (@t33)) % 0.39/0.57 (step @p19 :rule refl :args (@t15)) % 0.39/0.57 (step @p20 :rule cong :premises (@p19 @p18) :args ((= @t15 @t33))) % 0.39/0.57 (step @p21 :rule symm :premises (@p20)) % 0.39/0.57 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.39/0.57 (step @p23 :rule refl :args (@t34)) % 0.39/0.57 (step @p24 :rule refl :args (@t16)) % 0.39/0.57 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t16 @t34))) % 0.39/0.57 (step @p26 :rule symm :premises (@p25)) % 0.39/0.57 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.39/0.57 (step @p28 :rule cong :premises (@p27) :args (@t38)) % 0.39/0.57 (step @p29 :rule nary_cong :premises (@p28 @p22) :args (@t39)) % 0.39/0.57 (step @p30 :rule cong :premises (@p29) :args ((forall @t17 @t39))) % 0.39/0.57 (step @p31 :rule bool-impl-elim :args (@t16 @t15)) % 0.39/0.57 (step @p32 :rule cong :premises (@p31) :args (@t18)) % 0.39/0.57 (step @p33 :rule trans :premises (@p32 @p30)) % 0.39/0.57 (step @p34 :rule cong :premises (@p33 @p17) :args (@t19)) % 0.39/0.57 (step @p35 :rule cong :premises (@p34) :args (@t21)) % 0.39/0.57 (step @p36 :rule trans :premises (@p35 @p16)) % 0.39/0.57 (step @p37 :rule refl :args (tptp.subsetI1)) % 0.39/0.57 (step @p38 :rule cong :premises (@p37 @p36) :args (@t22)) % 0.39/0.57 (step @p39 :rule eq_resolve :premises (@p2 @p38)) % 0.39/0.57 (step @p40 :rule cong :premises (@p39 @p5) :args (@t40)) % 0.39/0.57 (step @p41 :rule refl :args ((tptp.in @t4 @t3))) % 0.39/0.57 (step @p42 :rule refl :args (@t29)) % 0.39/0.57 (step @p43 :rule refl :args (@t4)) % 0.39/0.57 (step @p44 :rule cong :premises (@p43 @p42) :args (@t41)) % 0.39/0.57 (step @p45 :rule trans :premises (@p44 @p41)) % 0.39/0.57 (step @p46 :rule refl :args (@t5)) % 0.39/0.57 (step @p47 :rule ho_cong :premises (@p46 @p42)) % 0.39/0.57 (step @p48 :rule cong :premises (@p47 @p45) :args ((= (_ @t5 @t29) @t41))) % 0.39/0.57 (step @p49 :rule symm :premises (@p48)) % 0.39/0.57 (step @p50 :rule refl :args (@t6)) % 0.39/0.57 (step @p51 :rule eq_resolve :premises (@p50 @p49)) % 0.39/0.57 (step @p52 :rule refl :args (@t3)) % 0.39/0.57 (step @p53 :rule cong :premises (@p52 @p42) :args ((= @t3 @t29))) % 0.39/0.57 (step @p54 :rule symm :premises (@p53)) % 0.39/0.57 (step @p55 :rule eq_resolve :premises (@p52 @p54)) % 0.39/0.57 (step @p56 :rule ho_cong :premises (@p46 @p55)) % 0.39/0.57 (step @p57 :rule trans :premises (@p56 @p51)) % 0.39/0.57 (step @p58 :rule refl :args (@t42)) % 0.39/0.57 (step @p59 :rule refl :args (@t7)) % 0.39/0.57 (step @p60 :rule cong :premises (@p59 @p58) :args ((= @t7 @t42))) % 0.39/0.57 (step @p61 :rule symm :premises (@p60)) % 0.39/0.57 (step @p62 :rule eq_resolve :premises (@p59 @p61)) % 0.39/0.57 (step @p63 :rule cong :premises (@p62) :args (@t43)) % 0.39/0.57 (step @p64 :rule nary_cong :premises (@p63 @p57) :args (@t44)) % 0.39/0.57 (step @p65 :rule cong :premises (@p64) :args ((forall @t8 @t44))) % 0.39/0.57 (step @p66 :rule bool-impl-elim :args (@t7 @t6)) % 0.39/0.57 (step @p67 :rule cong :premises (@p66) :args (@t9)) % 0.39/0.57 (step @p68 :rule trans :premises (@p67 @p65)) % 0.39/0.57 (step @p69 :rule refl :args (tptp.setadjoinIR)) % 0.39/0.57 (step @p70 :rule cong :premises (@p69 @p68) :args (@t10)) % 0.39/0.57 (step @p71 :rule eq_resolve :premises (@p1 @p70)) % 0.39/0.57 (step @p72 :rule cong :premises (@p71 @p40) :args (@t45)) % 0.39/0.57 (step @p73 :rule cong :premises (@p72) :args ((not @t45))) % 0.39/0.57 (step @p74 :rule refl :args ((tptp.subset @t1 @t3))) % 0.39/0.57 (step @p75 :rule refl :args (@t1)) % 0.39/0.57 (step @p76 :rule cong :premises (@p75 @p42) :args (@t30)) % 0.39/0.57 (step @p77 :rule trans :premises (@p76 @p74)) % 0.39/0.57 (step @p78 :rule refl :args (@t12)) % 0.39/0.57 (step @p79 :rule ho_cong :premises (@p78 @p42)) % 0.39/0.57 (step @p80 :rule cong :premises (@p79 @p77) :args ((= (_ @t12 @t29) @t30))) % 0.39/0.57 (step @p81 :rule symm :premises (@p80)) % 0.39/0.57 (step @p82 :rule refl :args (@t23)) % 0.39/0.57 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.39/0.57 (step @p84 :rule ho_cong :premises (@p78 @p55)) % 0.39/0.57 (step @p85 :rule trans :premises (@p84 @p83)) % 0.39/0.57 (step @p86 :rule cong :premises (@p85) :args (@t25)) % 0.39/0.57 (step @p87 :rule cong :premises (@p37 @p86) :args (@t26)) % 0.39/0.57 (step @p88 :rule cong :premises (@p69 @p87) :args (@t27)) % 0.39/0.57 (step @p89 :rule cong :premises (@p88) :args (@t28)) % 0.39/0.57 (step @p90 :rule trans :premises (@p89 @p73)) % 0.39/0.57 (step @p91 :rule eq_resolve :premises (@p3 @p90)) % 0.39/0.57 (step @p92 :rule not_implies_elim1 :premises (@p91)) % 0.39/0.57 (step @p93 :rule not_implies_elim2 :premises (@p91)) % 0.39/0.57 (step @p94 :rule not_implies_elim1 :premises (@p93)) % 0.39/0.57 (step @p95 :rule instantiate :premises (@p94) :args ((@list @t46 @t48))) % 0.39/0.57 (step @p96 :rule not_implies_elim2 :premises (@p93)) % 0.39/0.57 (step @p97 :rule skolemize :premises (@p96)) % 0.39/0.57 (step @p98 :rule cnf_or_pos :args (@t52)) % 0.39/0.57 (step @p99 :rule reordering :premises (@p98) :args ((or @t49 @t51 (not @t52)))) % 0.39/0.57 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p95) :args (@t51 @t53 (@list @t49 @t52))) % 0.39/0.57 (step @p101 :rule skolemize :premises (@p100)) % 0.39/0.57 (assume-push @p108 @t54) % 0.39/0.57 (step @p103 :rule instantiate :premises (@p92) :args ((@list @t47 @t46 @t55))) % 0.39/0.57 (step-pop @p109 :rule scope :premises (@p103)) % 0.39/0.57 (step @p104 :rule process_scope :premises (@p109) :args (@t56)) % 0.39/0.57 (step @p106 :rule implies_elim :premises (@p104)) % 0.39/0.57 (step @p107 false :rule chain_m_resolution :premises (@p106 @p101 @p92) :args (false @t53 (@list @t56 @t54))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------