%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO265^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 09:12:20 AM UTC 2026 % Result : Theorem 0.30s 0.54s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO265^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.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 : Wed Jun 3 00:01:45 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.30/0.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.30/0.54 % SZS status Theorem % 0.30/0.54 % SZS output start Proof % 0.30/0.54 ( % 0.30/0.54 (declare-sort tptp.a 0) % 0.30/0.54 (declare-const tptp.x tptp.a) % 0.30/0.54 (define @t1 () (@var "Xy" tptp.a)) % 0.30/0.54 (define @t2 () (@var "Xz" tptp.a)) % 0.30/0.54 (define @t3 () (= @t1 tptp.x)) % 0.30/0.54 (define @t4 () (and @t3 (= @t2 @t1))) % 0.30/0.54 (define @t5 () (@list @t1)) % 0.30/0.54 (define @t6 () (exists @t5 @t4)) % 0.30/0.54 (define @t7 () (@list @t2)) % 0.30/0.54 (define @t8 () (lambda @t7 @t6)) % 0.30/0.54 (define @t9 () (@var "Xx" tptp.a)) % 0.30/0.54 (define @t10 () (_ (lambda (@list @t9 @t1) (= @t9 @t1)) tptp.x)) % 0.30/0.54 (define @t11 () (= @t10 @t8)) % 0.30/0.54 (define @t12 () (not @t11)) % 0.30/0.54 (define @t13 () (= tptp.x @t1)) % 0.30/0.54 (define @t14 () (lambda @t5 @t13)) % 0.30/0.54 (define @t15 () (@purify @t14)) % 0.30/0.54 (define @t16 () (= tptp.x @t2)) % 0.30/0.54 (define @t17 () (lambda @t7 @t16)) % 0.30/0.54 (define @t18 () (@purify @t17)) % 0.30/0.54 (define @t19 () (= @t14 @t17)) % 0.30/0.54 (define @t20 () (not @t16)) % 0.30/0.54 (define @t21 () (not (= tptp.x tptp.x))) % 0.30/0.54 (define @t22 () (or @t21 @t20)) % 0.30/0.54 (define @t23 () (= @t1 @t2)) % 0.30/0.54 (define @t24 () (not @t23)) % 0.30/0.54 (define @t25 () (not @t13)) % 0.30/0.54 (define @t26 () (or @t25 @t25 @t24)) % 0.30/0.54 (define @t27 () (or @t25 @t24)) % 0.30/0.54 (define @t28 () (and @t13 @t23)) % 0.30/0.54 (define @t29 () (forall @t5 (not @t28))) % 0.30/0.54 (define @t30 () (not @t29)) % 0.30/0.54 (define @t31 () (= @t18 @t15)) % 0.30/0.54 (define @t32 () (@const 0 tptp.a)) % 0.30/0.54 (define @t33 () (= tptp.x @t32)) % 0.30/0.54 (define @t34 () (= (_ @t14 @t32) @t33)) % 0.30/0.54 (define @t35 () (_ @t15 @t32)) % 0.30/0.54 (define @t36 () (_ @t17 @t32)) % 0.30/0.54 (define @t37 () (_ @t18 @t32)) % 0.30/0.54 (define @t38 () (= @t37 @t35)) % 0.30/0.54 (define @t39 () (not @t38)) % 0.30/0.54 (define @t40 () (or @t31 @t39)) % 0.30/0.54 (assume @p1 @t12) % 0.30/0.54 (assume @p2 true) % 0.30/0.54 (step @p3 :rule eq-symm :args (@t15 @t18)) % 0.30/0.54 (step @p4 :rule eq-refl :args (@t17)) % 0.30/0.54 (step @p5 :rule skolem_intro :args (@t18)) % 0.30/0.54 (step @p6 :rule refl :args (@t17)) % 0.30/0.54 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t17 @t18))) % 0.30/0.54 (step @p8 :rule trans :premises (@p7 @p4)) % 0.30/0.54 (step @p9 :rule true_elim :premises (@p8)) % 0.30/0.54 (step @p10 :rule eq-refl :args (@t14)) % 0.30/0.54 (step @p11 :rule skolem_intro :args (@t15)) % 0.30/0.54 (step @p12 :rule refl :args (@t14)) % 0.30/0.54 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t14 @t15))) % 0.30/0.54 (step @p14 :rule trans :premises (@p13 @p10)) % 0.30/0.54 (step @p15 :rule true_elim :premises (@p14)) % 0.30/0.54 (step @p16 :rule cong :premises (@p15 @p9) :args (@t19)) % 0.30/0.54 (step @p17 :rule trans :premises (@p16 @p3)) % 0.30/0.54 (step @p18 :rule cong :premises (@p17) :args ((not @t19))) % 0.30/0.54 (step @p19 :rule bool-double-not-elim :args (@t16)) % 0.30/0.54 (step @p20 :rule aci_norm :args ((= (or false @t20) @t20))) % 0.30/0.54 (step @p21 :rule refl :args (@t20)) % 0.30/0.54 (step @p22 :rule evaluate :args ((not true))) % 0.30/0.54 (step @p23 :rule eq-refl :args (tptp.x)) % 0.30/0.54 (step @p24 :rule cong :premises (@p23) :args (@t21)) % 0.30/0.54 (step @p25 :rule trans :premises (@p24 @p22)) % 0.30/0.54 (step @p26 :rule nary_cong :premises (@p25 @p21) :args (@t22)) % 0.30/0.54 (step @p27 :rule trans :premises (@p26 @p20)) % 0.30/0.54 (step @p28 :rule quant-var-elim-eq :args ((= (forall @t5 (or (not @t3) @t25 @t24)) @t22))) % 0.30/0.54 (step @p29 :rule refl :args (@t24)) % 0.30/0.54 (step @p30 :rule refl :args (@t25)) % 0.30/0.54 (step @p31 :rule eq-symm :args (tptp.x @t1)) % 0.30/0.54 (step @p32 :rule cong :premises (@p31) :args (@t25)) % 0.30/0.54 (step @p33 :rule nary_cong :premises (@p32 @p30 @p29) :args (@t26)) % 0.30/0.54 (step @p34 :rule aci_norm :args ((= @t27 @t26))) % 0.30/0.54 (step @p35 :rule trans :premises (@p34 @p33)) % 0.30/0.54 (step @p36 :rule cong :premises (@p35) :args ((forall @t5 @t27))) % 0.30/0.54 (step @p37 :rule trans :premises (@p36 @p28)) % 0.30/0.54 (step @p38 :rule trans :premises (@p37 @p27)) % 0.30/0.54 (step @p39 :rule bool-and-de-morgan :args (@t13 @t23 true)) % 0.30/0.54 (step @p40 :rule cong :premises (@p39) :args (@t29)) % 0.30/0.54 (step @p41 :rule trans :premises (@p40 @p38)) % 0.30/0.54 (step @p42 :rule cong :premises (@p41) :args (@t30)) % 0.30/0.54 (step @p43 :rule trans :premises (@p42 @p19)) % 0.30/0.54 (step @p44 :rule exists-elim :args ((= (exists @t5 @t28) @t30))) % 0.30/0.54 (step @p45 :rule trans :premises (@p44 @p43)) % 0.30/0.54 (step @p46 :rule eq-symm :args (@t2 @t1)) % 0.30/0.54 (step @p47 :rule eq-symm :args (@t1 tptp.x)) % 0.30/0.54 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t4)) % 0.30/0.54 (step @p49 :rule cong :premises (@p48) :args (@t6)) % 0.30/0.54 (step @p50 :rule trans :premises (@p49 @p45)) % 0.30/0.54 (step @p51 :rule cong :premises (@p50) :args (@t8)) % 0.30/0.54 (step @p52 :rule beta-reduce :args ((= @t10 @t14))) % 0.30/0.55 (step @p53 :rule cong :premises (@p52 @p51) :args (@t11)) % 0.30/0.55 (step @p54 :rule cong :premises (@p53) :args (@t12)) % 0.30/0.55 (step @p55 :rule trans :premises (@p54 @p18)) % 0.30/0.55 (step @p56 :rule eq_resolve :premises (@p1 @p55)) % 0.30/0.55 (step @p57 :rule aci_norm :args ((= (or @t31 false) @t31))) % 0.30/0.55 (step @p58 :rule eq-refl :args (@t33)) % 0.30/0.55 (step @p59 :rule refl :args (@t33)) % 0.30/0.55 (step @p60 :rule beta-reduce :args (@t34)) % 0.30/0.55 (step @p61 :rule cong :premises (@p60 @p59) :args (@t34)) % 0.30/0.55 (step @p62 :rule trans :premises (@p61 @p58)) % 0.30/0.55 (step @p63 :rule refl :args (@t32)) % 0.30/0.55 (step @p64 :rule ho_cong :premises (@p11 @p63)) % 0.30/0.55 (step @p65 :rule cong :premises (@p64 @p59) :args ((= @t35 @t33))) % 0.30/0.55 (step @p66 :rule trans :premises (@p65 @p62)) % 0.30/0.55 (step @p67 :rule true_elim :premises (@p66)) % 0.30/0.55 (step @p68 :rule beta-reduce :args ((= @t36 @t33))) % 0.30/0.55 (step @p69 :rule cong :premises (@p59 @p68) :args ((= @t33 @t36))) % 0.30/0.55 (step @p70 :rule trans :premises (@p69 @p58)) % 0.30/0.55 (step @p71 :rule eq-symm :args (@t36 @t33)) % 0.30/0.55 (step @p72 :rule trans :premises (@p71 @p70)) % 0.30/0.55 (step @p73 :rule ho_cong :premises (@p5 @p63)) % 0.30/0.55 (step @p74 :rule cong :premises (@p73 @p59) :args ((= @t37 @t33))) % 0.30/0.55 (step @p75 :rule trans :premises (@p74 @p72)) % 0.30/0.55 (step @p76 :rule true_elim :premises (@p75)) % 0.30/0.55 (step @p77 :rule cong :premises (@p76 @p67) :args (@t38)) % 0.30/0.55 (step @p78 :rule trans :premises (@p77 @p58)) % 0.30/0.55 (step @p79 :rule cong :premises (@p78) :args (@t39)) % 0.30/0.55 (step @p80 :rule trans :premises (@p79 @p22)) % 0.30/0.55 (step @p81 :rule refl :args (@t31)) % 0.30/0.55 (step @p82 :rule nary_cong :premises (@p81 @p80) :args (@t40)) % 0.30/0.55 (step @p83 :rule trans :premises (@p82 @p57)) % 0.30/0.55 ; WARNING: add trust step for TRUST % 0.30/0.55 ; trust TRUST THEORY_LEMMA % 0.30/0.55 (step @p84 :rule trust :premises () :args (@t40)) % 0.30/0.55 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.30/0.55 (step @p86 false :rule chain_m_resolution :premises (@p85 @p56) :args (false (@list true) (@list @t31))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------