%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU641^2 : 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 : n016.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 08:52:32 AM UTC 2026 % Result : Theorem 0.31s 0.57s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU641^2 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n016.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 17:44:39 EDT 2026 % 0.16/0.35 % CPUTime : % 0.31/0.50 %----Proving TH0 % 0.31/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.31/0.57 % SZS status Theorem % 0.31/0.57 % SZS output start Proof % 0.31/0.57 ( % 0.31/0.57 (declare-sort $$unsorted 0) % 0.31/0.57 (declare-const tptp.uniqinunit Bool) % 0.31/0.57 (declare-const tptp.emptyset $$unsorted) % 0.31/0.57 (declare-const tptp.setadjoinIL Bool) % 0.31/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.31/0.57 (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.57 (define @t1 () (@var "Xy" $$unsorted)) % 0.31/0.57 (define @t2 () (@var "Xx" $$unsorted)) % 0.31/0.57 (define @t3 () (_ tptp.setadjoin @t2)) % 0.31/0.57 (define @t4 () (_ @t3 @t1)) % 0.31/0.57 (define @t5 () (_ tptp.in @t2)) % 0.31/0.57 (define @t6 () (_ @t5 @t4)) % 0.31/0.57 (define @t7 () (@list @t2 @t1)) % 0.31/0.57 (define @t8 () (forall @t7 @t6)) % 0.31/0.57 (define @t9 () (= tptp.setadjoinIL @t8)) % 0.31/0.57 (define @t10 () (= @t2 @t1)) % 0.31/0.57 (define @t11 () (_ (_ tptp.setadjoin @t1) tptp.emptyset)) % 0.31/0.57 (define @t12 () (_ @t5 @t11)) % 0.31/0.57 (define @t13 () (forall @t7 (=> @t12 @t10))) % 0.31/0.57 (define @t14 () (= tptp.uniqinunit @t13)) % 0.31/0.57 (define @t15 () (_ @t3 tptp.emptyset)) % 0.31/0.57 (define @t16 () (=> (= @t15 @t11) @t10)) % 0.31/0.57 (define @t17 () (forall @t7 @t16)) % 0.31/0.57 (define @t18 () (=> tptp.uniqinunit @t17)) % 0.31/0.57 (define @t19 () (=> tptp.setadjoinIL @t18)) % 0.31/0.57 (define @t20 () (not @t19)) % 0.31/0.57 (define @t21 () (tptp.setadjoin @t2 tptp.emptyset)) % 0.31/0.57 (define @t22 () (tptp.setadjoin @t1 tptp.emptyset)) % 0.31/0.57 (define @t23 () (forall @t7 (or (not (= @t22 @t21)) @t10))) % 0.31/0.57 (define @t24 () (tptp.in @t2 @t22)) % 0.31/0.57 (define @t25 () (not @t12)) % 0.31/0.57 (define @t26 () (or @t25 @t10)) % 0.31/0.57 (define @t27 () (=> tptp.uniqinunit @t23)) % 0.31/0.57 (define @t28 () (tptp.setadjoin @t2 @t1)) % 0.31/0.57 (define @t29 () (tptp.in @t2 @t28)) % 0.31/0.57 (define @t30 () (=> tptp.setadjoinIL @t27)) % 0.31/0.57 (define @t31 () (= @t11 @t15)) % 0.31/0.57 (define @t32 () (not @t31)) % 0.31/0.57 (define @t33 () (or @t32 @t10)) % 0.31/0.57 (define @t34 () (@quantifiers_skolemize @t23 0)) % 0.31/0.57 (define @t35 () (@quantifiers_skolemize @t23 1)) % 0.31/0.57 (define @t36 () (tptp.setadjoin @t35 tptp.emptyset)) % 0.31/0.57 (define @t37 () (= @t36 (tptp.setadjoin @t34 tptp.emptyset))) % 0.31/0.57 (define @t38 () (= @t34 @t35)) % 0.31/0.57 (define @t39 () (not @t37)) % 0.31/0.57 (define @t40 () (or @t39 @t38)) % 0.31/0.57 (define @t41 () (@list true)) % 0.31/0.57 (define @t42 () (@list @t40)) % 0.31/0.57 (define @t43 () (tptp.in @t34 @t36)) % 0.31/0.57 (define @t44 () (not @t43)) % 0.31/0.57 (define @t45 () (or @t44 @t38)) % 0.31/0.57 (define @t46 () (not @t45)) % 0.31/0.57 (define @t47 () (@list true false)) % 0.31/0.57 (define @t48 () (forall @t7 (or (not @t24) @t10))) % 0.31/0.57 (assume @p1 @t9) % 0.31/0.57 (assume @p2 @t14) % 0.31/0.57 (assume @p3 @t20) % 0.31/0.57 (assume @p4 true) % 0.31/0.57 (step @p5 :rule refl :args (@t23)) % 0.31/0.57 (step @p6 :rule refl :args (@t10)) % 0.31/0.57 (step @p7 :rule refl :args ((tptp.in @t2 @t11))) % 0.31/0.57 (step @p8 :rule refl :args (@t22)) % 0.31/0.57 (step @p9 :rule refl :args (@t2)) % 0.31/0.57 (step @p10 :rule cong :premises (@p9 @p8) :args (@t24)) % 0.31/0.57 (step @p11 :rule trans :premises (@p10 @p7)) % 0.31/0.57 (step @p12 :rule refl :args (@t5)) % 0.31/0.57 (step @p13 :rule ho_cong :premises (@p12 @p8)) % 0.31/0.57 (step @p14 :rule cong :premises (@p13 @p11) :args ((= (_ @t5 @t22) @t24))) % 0.31/0.57 (step @p15 :rule symm :premises (@p14)) % 0.31/0.57 (step @p16 :rule refl :args (@t12)) % 0.31/0.57 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 0.31/0.57 (step @p18 :rule refl :args (@t11)) % 0.31/0.57 (step @p19 :rule cong :premises (@p18 @p8) :args ((= @t11 @t22))) % 0.31/0.57 (step @p20 :rule symm :premises (@p19)) % 0.31/0.57 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.31/0.57 (step @p22 :rule ho_cong :premises (@p12 @p21)) % 0.31/0.57 (step @p23 :rule trans :premises (@p22 @p17)) % 0.31/0.57 (step @p24 :rule cong :premises (@p23) :args (@t25)) % 0.31/0.57 (step @p25 :rule nary_cong :premises (@p24 @p6) :args (@t26)) % 0.31/0.57 (step @p26 :rule cong :premises (@p25) :args ((forall @t7 @t26))) % 0.31/0.57 (step @p27 :rule bool-impl-elim :args (@t12 @t10)) % 0.31/0.57 (step @p28 :rule cong :premises (@p27) :args (@t13)) % 0.31/0.57 (step @p29 :rule trans :premises (@p28 @p26)) % 0.31/0.57 (step @p30 :rule refl :args (tptp.uniqinunit)) % 0.31/0.57 (step @p31 :rule cong :premises (@p30 @p29) :args (@t14)) % 0.31/0.57 (step @p32 :rule eq_resolve :premises (@p2 @p31)) % 0.31/0.57 (step @p33 :rule cong :premises (@p32 @p5) :args (@t27)) % 0.31/0.57 (step @p34 :rule refl :args ((tptp.in @t2 @t4))) % 0.31/0.57 (step @p35 :rule refl :args (@t28)) % 0.31/0.57 (step @p36 :rule cong :premises (@p9 @p35) :args (@t29)) % 0.31/0.57 (step @p37 :rule trans :premises (@p36 @p34)) % 0.31/0.57 (step @p38 :rule ho_cong :premises (@p12 @p35)) % 0.31/0.57 (step @p39 :rule cong :premises (@p38 @p37) :args ((= (_ @t5 @t28) @t29))) % 0.31/0.57 (step @p40 :rule symm :premises (@p39)) % 0.31/0.57 (step @p41 :rule refl :args (@t6)) % 0.31/0.57 (step @p42 :rule eq_resolve :premises (@p41 @p40)) % 0.31/0.57 (step @p43 :rule refl :args (@t4)) % 0.31/0.57 (step @p44 :rule cong :premises (@p43 @p35) :args ((= @t4 @t28))) % 0.31/0.57 (step @p45 :rule symm :premises (@p44)) % 0.31/0.57 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 0.31/0.57 (step @p47 :rule ho_cong :premises (@p12 @p46)) % 0.31/0.57 (step @p48 :rule trans :premises (@p47 @p42)) % 0.31/0.57 (step @p49 :rule cong :premises (@p48) :args (@t8)) % 0.31/0.57 (step @p50 :rule refl :args (tptp.setadjoinIL)) % 0.31/0.57 (step @p51 :rule cong :premises (@p50 @p49) :args (@t9)) % 0.31/0.57 (step @p52 :rule eq_resolve :premises (@p1 @p51)) % 0.31/0.57 (step @p53 :rule cong :premises (@p52 @p33) :args (@t30)) % 0.31/0.57 (step @p54 :rule cong :premises (@p53) :args ((not @t30))) % 0.31/0.57 (step @p55 :rule refl :args (@t21)) % 0.31/0.57 (step @p56 :rule refl :args (@t15)) % 0.31/0.57 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t15 @t21))) % 0.31/0.57 (step @p58 :rule symm :premises (@p57)) % 0.31/0.57 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.31/0.57 (step @p60 :rule cong :premises (@p21 @p59) :args (@t31)) % 0.31/0.57 (step @p61 :rule cong :premises (@p60) :args (@t32)) % 0.31/0.57 (step @p62 :rule nary_cong :premises (@p61 @p6) :args (@t33)) % 0.31/0.57 (step @p63 :rule cong :premises (@p62) :args ((forall @t7 @t33))) % 0.31/0.57 (step @p64 :rule bool-impl-elim :args (@t31 @t10)) % 0.31/0.57 (step @p65 :rule cong :premises (@p64) :args ((forall @t7 (=> @t31 @t10)))) % 0.31/0.57 (step @p66 :rule trans :premises (@p65 @p63)) % 0.31/0.57 (step @p67 :rule refl :args (@t10)) % 0.31/0.57 (step @p68 :rule eq-symm :args (@t15 @t11)) % 0.31/0.57 (step @p69 :rule cong :premises (@p68 @p67) :args (@t16)) % 0.31/0.57 (step @p70 :rule cong :premises (@p69) :args (@t17)) % 0.31/0.57 (step @p71 :rule trans :premises (@p70 @p66)) % 0.31/0.57 (step @p72 :rule cong :premises (@p30 @p71) :args (@t18)) % 0.31/0.57 (step @p73 :rule cong :premises (@p50 @p72) :args (@t19)) % 0.31/0.57 (step @p74 :rule cong :premises (@p73) :args (@t20)) % 0.31/0.57 (step @p75 :rule trans :premises (@p74 @p54)) % 0.31/0.57 (step @p76 :rule eq_resolve :premises (@p3 @p75)) % 0.31/0.57 (step @p77 :rule not_implies_elim2 :premises (@p76)) % 0.31/0.57 (step @p78 :rule not_implies_elim1 :premises (@p77)) % 0.31/0.57 (step @p79 :rule not_implies_elim1 :premises (@p76)) % 0.31/0.57 (step @p80 :rule instantiate :premises (@p79) :args ((@list @t34 tptp.emptyset))) % 0.31/0.57 (step @p81 :rule true_intro :premises (@p80)) % 0.31/0.57 (step @p82 :rule not_implies_elim2 :premises (@p77)) % 0.31/0.57 (step @p83 :rule skolemize :premises (@p82)) % 0.31/0.57 (step @p84 :rule bool-double-not-elim :args (@t37)) % 0.31/0.57 (step @p85 :rule refl :args (@t40)) % 0.31/0.57 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t40 (not @t39)))) % 0.31/0.57 (step @p87 :rule cnf_or_neg :args (@t40 0)) % 0.31/0.57 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.31/0.57 (step @p89 :rule reordering :premises (@p88) :args ((or @t37 @t40))) % 0.31/0.57 (step @p90 :rule chain_m_resolution :premises (@p89 @p83) :args (@t37 @t41 @t42)) % 0.31/0.57 (step @p91 :rule refl :args (@t34)) % 0.31/0.57 (step @p92 :rule cong :premises (@p91 @p90) :args (@t43)) % 0.31/0.57 (step @p93 :rule trans :premises (@p92 @p81)) % 0.31/0.57 (step @p94 :rule true_elim :premises (@p93)) % 0.31/0.57 (step @p95 :rule cnf_or_neg :args (@t40 1)) % 0.31/0.57 (step @p96 :rule chain_m_resolution :premises (@p95 @p83) :args ((not @t38) @t41 @t42)) % 0.31/0.57 (step @p97 :rule cnf_or_pos :args (@t45)) % 0.31/0.57 (step @p98 :rule reordering :premises (@p97) :args ((or @t38 @t44 @t46))) % 0.31/0.57 (step @p99 :rule chain_m_resolution :premises (@p98 @p96 @p94) :args (@t46 @t47 (@list @t38 @t43))) % 0.31/0.57 (assume-push @p106 @t48) % 0.31/0.57 (step @p101 :rule instantiate :premises (@p78) :args ((@list @t34 @t35))) % 0.31/0.57 (step-pop @p107 :rule scope :premises (@p101)) % 0.31/0.57 (step @p102 :rule process_scope :premises (@p107) :args (@t45)) % 0.31/0.57 (step @p104 :rule implies_elim :premises (@p102)) % 0.31/0.57 (step @p105 false :rule chain_m_resolution :premises (@p104 @p99 @p78) :args (false @t47 (@list @t45 @t48))) % 0.31/0.57 ) % 0.31/0.57 % SZS output end Proof % 0.31/0.57 % cvc5 exiting %------------------------------------------------------------------------------