%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU921^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:53:32 AM UTC 2026 % Result : Theorem 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU921^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n004.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 18:00:07 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 0.31/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.31/0.55 % SZS status Theorem % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.h (-> $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.g (-> $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.f (-> $$unsorted $$unsorted)) % 0.31/0.55 (define @t1 () (@var "Xx" $$unsorted)) % 0.31/0.55 (define @t2 () (_ tptp.g @t1)) % 0.31/0.55 (define @t3 () (@list @t1)) % 0.31/0.55 (define @t4 () (lambda @t3 (_ tptp.h @t2))) % 0.31/0.55 (define @t5 () (_ tptp.f @t1)) % 0.31/0.55 (define @t6 () (@var "Xy" $$unsorted)) % 0.31/0.55 (define @t7 () (_ tptp.h @t6)) % 0.31/0.55 (define @t8 () (= @t7 @t5)) % 0.31/0.55 (define @t9 () (=> (= @t2 @t6) @t8)) % 0.31/0.55 (define @t10 () (@list @t1 @t6)) % 0.31/0.55 (define @t11 () (forall @t10 @t9)) % 0.31/0.55 (define @t12 () (=> @t11 (= @t4 tptp.f))) % 0.31/0.55 (define @t13 () (not @t12)) % 0.31/0.55 (define @t14 () (@purify @t4)) % 0.31/0.55 (define @t15 () (= tptp.f @t4)) % 0.31/0.55 (define @t16 () (tptp.g @t1)) % 0.31/0.55 (define @t17 () (tptp.h @t16)) % 0.31/0.55 (define @t18 () (tptp.f @t1)) % 0.31/0.55 (define @t19 () (= @t18 @t17)) % 0.31/0.55 (define @t20 () (forall @t3 @t19)) % 0.31/0.55 (define @t21 () (=> @t20 @t15)) % 0.31/0.55 (define @t22 () (not (= @t16 @t16))) % 0.31/0.55 (define @t23 () (or @t22 (= @t17 @t18))) % 0.31/0.55 (define @t24 () (tptp.h @t6)) % 0.31/0.55 (define @t25 () (= @t24 @t18)) % 0.31/0.55 (define @t26 () (not (= @t6 @t16))) % 0.31/0.55 (define @t27 () (or @t26 @t26 @t25)) % 0.31/0.55 (define @t28 () (@list @t6)) % 0.31/0.55 (define @t29 () (or @t26 @t25)) % 0.31/0.55 (define @t30 () (forall @t28 @t29)) % 0.31/0.55 (define @t31 () (forall @t3 @t30)) % 0.31/0.55 (define @t32 () (= @t6 @t2)) % 0.31/0.55 (define @t33 () (not @t32)) % 0.31/0.55 (define @t34 () (or @t33 @t8)) % 0.31/0.55 (define @t35 () (@const 0 $$unsorted)) % 0.31/0.55 (define @t36 () (_ tptp.g @t35)) % 0.31/0.55 (define @t37 () (tptp.g @t35)) % 0.31/0.55 (define @t38 () (tptp.h @t37)) % 0.31/0.55 (define @t39 () (_ tptp.h @t36)) % 0.31/0.55 (define @t40 () (= (_ @t4 @t35) @t39)) % 0.31/0.55 (define @t41 () (_ @t14 @t35)) % 0.31/0.55 (define @t42 () (tptp.f @t35)) % 0.31/0.55 (define @t43 () (= @t42 @t41)) % 0.31/0.55 (define @t44 () (not @t43)) % 0.31/0.55 (define @t45 () (= tptp.f @t14)) % 0.31/0.55 (define @t46 () (or @t45 @t44)) % 0.31/0.55 (define @t47 () (= @t42 @t38)) % 0.31/0.55 (assume @p1 @t13) % 0.31/0.55 (assume @p2 true) % 0.31/0.55 (step @p3 :rule eq-refl :args (@t4)) % 0.31/0.55 (step @p4 :rule skolem_intro :args (@t14)) % 0.31/0.55 (step @p5 :rule refl :args (@t4)) % 0.31/0.55 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t4 @t14))) % 0.31/0.55 (step @p7 :rule trans :premises (@p6 @p3)) % 0.31/0.55 (step @p8 :rule true_elim :premises (@p7)) % 0.31/0.55 (step @p9 :rule refl :args (tptp.f)) % 0.31/0.55 (step @p10 :rule cong :premises (@p9 @p8) :args (@t15)) % 0.31/0.55 (step @p11 :rule refl :args (@t20)) % 0.31/0.55 (step @p12 :rule cong :premises (@p11 @p10) :args (@t21)) % 0.31/0.55 (step @p13 :rule cong :premises (@p12) :args ((not @t21))) % 0.31/0.55 (step @p14 :rule eq-symm :args (@t4 tptp.f)) % 0.31/0.55 (step @p15 :rule aci_norm :args ((= (or false @t19) @t19))) % 0.31/0.55 (step @p16 :rule eq-symm :args (@t17 @t18)) % 0.31/0.55 (step @p17 :rule evaluate :args ((not true))) % 0.31/0.55 (step @p18 :rule eq-refl :args (@t16)) % 0.31/0.55 (step @p19 :rule cong :premises (@p18) :args (@t22)) % 0.31/0.55 (step @p20 :rule trans :premises (@p19 @p17)) % 0.31/0.55 (step @p21 :rule nary_cong :premises (@p20 @p16) :args (@t23)) % 0.31/0.55 (step @p22 :rule trans :premises (@p21 @p15)) % 0.31/0.55 (step @p23 :rule cong :premises (@p22) :args ((forall @t3 @t23))) % 0.31/0.55 (step @p24 :rule quant-var-elim-eq :args ((= (forall @t28 @t27) @t23))) % 0.31/0.55 (step @p25 :rule aci_norm :args ((= @t29 @t27))) % 0.31/0.55 (step @p26 :rule cong :premises (@p25) :args (@t30)) % 0.31/0.55 (step @p27 :rule trans :premises (@p26 @p24)) % 0.31/0.55 (step @p28 :rule cong :premises (@p27) :args (@t31)) % 0.31/0.55 (step @p29 :rule quant-merge-prenex :args ((= @t31 (forall @t10 @t29)))) % 0.31/0.55 (step @p30 :rule symm :premises (@p29)) % 0.31/0.55 (step @p31 :rule trans :premises (@p30 @p28)) % 0.31/0.55 (step @p32 :rule trans :premises (@p31 @p23)) % 0.31/0.55 (step @p33 :rule refl :args (@t18)) % 0.31/0.55 (step @p34 :rule refl :args (@t5)) % 0.31/0.55 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t5 @t18))) % 0.31/0.55 (step @p36 :rule symm :premises (@p35)) % 0.31/0.55 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.31/0.55 (step @p38 :rule refl :args (@t24)) % 0.31/0.55 (step @p39 :rule refl :args (@t7)) % 0.31/0.55 (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t7 @t24))) % 0.31/0.55 (step @p41 :rule symm :premises (@p40)) % 0.31/0.55 (step @p42 :rule eq_resolve :premises (@p39 @p41)) % 0.31/0.55 (step @p43 :rule cong :premises (@p42 @p37) :args (@t8)) % 0.31/0.55 (step @p44 :rule refl :args (@t16)) % 0.31/0.55 (step @p45 :rule refl :args (@t2)) % 0.31/0.55 (step @p46 :rule cong :premises (@p45 @p44) :args ((= @t2 @t16))) % 0.31/0.55 (step @p47 :rule symm :premises (@p46)) % 0.31/0.55 (step @p48 :rule eq_resolve :premises (@p45 @p47)) % 0.31/0.55 (step @p49 :rule refl :args (@t6)) % 0.31/0.55 (step @p50 :rule cong :premises (@p49 @p48) :args (@t32)) % 0.31/0.55 (step @p51 :rule cong :premises (@p50) :args (@t33)) % 0.31/0.55 (step @p52 :rule nary_cong :premises (@p51 @p43) :args (@t34)) % 0.31/0.55 (step @p53 :rule cong :premises (@p52) :args ((forall @t10 @t34))) % 0.31/0.55 (step @p54 :rule trans :premises (@p53 @p32)) % 0.31/0.55 (step @p55 :rule bool-impl-elim :args (@t32 @t8)) % 0.31/0.55 (step @p56 :rule cong :premises (@p55) :args ((forall @t10 (=> @t32 @t8)))) % 0.31/0.55 (step @p57 :rule trans :premises (@p56 @p54)) % 0.31/0.55 (step @p58 :rule refl :args (@t8)) % 0.31/0.55 (step @p59 :rule eq-symm :args (@t2 @t6)) % 0.31/0.55 (step @p60 :rule cong :premises (@p59 @p58) :args (@t9)) % 0.31/0.55 (step @p61 :rule cong :premises (@p60) :args (@t11)) % 0.31/0.55 (step @p62 :rule trans :premises (@p61 @p57)) % 0.31/0.55 (step @p63 :rule cong :premises (@p62 @p14) :args (@t12)) % 0.31/0.55 (step @p64 :rule cong :premises (@p63) :args (@t13)) % 0.31/0.55 (step @p65 :rule trans :premises (@p64 @p13)) % 0.31/0.55 (step @p66 :rule eq_resolve :premises (@p1 @p65)) % 0.31/0.55 (step @p67 :rule not_implies_elim1 :premises (@p66)) % 0.31/0.55 (step @p68 :rule not_implies_elim2 :premises (@p66)) % 0.31/0.55 (step @p69 :rule refl :args ((tptp.h @t36))) % 0.31/0.55 (step @p70 :rule refl :args (@t37)) % 0.31/0.55 (step @p71 :rule cong :premises (@p70) :args (@t38)) % 0.31/0.55 (step @p72 :rule trans :premises (@p71 @p69)) % 0.31/0.55 (step @p73 :rule refl :args (tptp.h)) % 0.31/0.55 (step @p74 :rule ho_cong :premises (@p73 @p70)) % 0.31/0.55 (step @p75 :rule cong :premises (@p74 @p72) :args ((= (_ tptp.h @t37) @t38))) % 0.31/0.55 (step @p76 :rule symm :premises (@p75)) % 0.31/0.55 (step @p77 :rule refl :args (@t39)) % 0.31/0.55 (step @p78 :rule eq_resolve :premises (@p77 @p76)) % 0.31/0.55 (step @p79 :rule refl :args (@t36)) % 0.31/0.55 (step @p80 :rule cong :premises (@p79 @p70) :args ((= @t36 @t37))) % 0.31/0.55 (step @p81 :rule symm :premises (@p80)) % 0.31/0.55 (step @p82 :rule eq_resolve :premises (@p79 @p81)) % 0.31/0.55 (step @p83 :rule refl :args (tptp.h)) % 0.31/0.55 (step @p84 :rule ho_cong :premises (@p83 @p82)) % 0.31/0.55 (step @p85 :rule trans :premises (@p84 @p78)) % 0.31/0.55 (step @p86 :rule eq-refl :args (@t39)) % 0.31/0.55 (step @p87 :rule refl :args (@t39)) % 0.31/0.55 (step @p88 :rule beta-reduce :args (@t40)) % 0.31/0.55 (step @p89 :rule cong :premises (@p88 @p87) :args (@t40)) % 0.31/0.55 (step @p90 :rule trans :premises (@p89 @p86)) % 0.31/0.55 (step @p91 :rule refl :args (@t35)) % 0.31/0.55 (step @p92 :rule ho_cong :premises (@p4 @p91)) % 0.31/0.55 (step @p93 :rule cong :premises (@p92 @p87) :args ((= @t41 @t39))) % 0.31/0.55 (step @p94 :rule trans :premises (@p93 @p90)) % 0.31/0.55 (step @p95 :rule true_elim :premises (@p94)) % 0.31/0.55 (step @p96 :rule trans :premises (@p95 @p85)) % 0.31/0.55 (step @p97 :rule refl :args (@t42)) % 0.31/0.55 (step @p98 :rule cong :premises (@p97 @p96) :args (@t43)) % 0.31/0.55 (step @p99 :rule cong :premises (@p98) :args (@t44)) % 0.31/0.55 (step @p100 :rule refl :args (@t45)) % 0.31/0.55 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t46)) % 0.31/0.55 ; WARNING: add trust step for TRUST % 0.31/0.55 ; trust TRUST THEORY_LEMMA % 0.31/0.55 (step @p102 :rule trust :premises () :args (@t46)) % 0.31/0.55 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 0.31/0.55 (step @p104 :rule chain_m_resolution :premises (@p103 @p68) :args ((not @t47) (@list true) (@list @t45))) % 0.31/0.55 (assume-push @p111 @t20) % 0.31/0.55 (step @p106 :rule instantiate :premises (@p67) :args ((@list @t35))) % 0.31/0.55 (step-pop @p112 :rule scope :premises (@p106)) % 0.31/0.55 (step @p107 :rule process_scope :premises (@p112) :args (@t47)) % 0.31/0.55 (step @p109 :rule implies_elim :premises (@p107)) % 0.31/0.55 (step @p110 false :rule chain_m_resolution :premises (@p109 @p104 @p67) :args (false (@list true false) (@list @t47 @t20))) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.31/0.55 % cvc5 exiting %------------------------------------------------------------------------------