%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO236^5 : 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 : n020.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 09:12:17 AM UTC 2026 % Result : Theorem 0.37s 0.62s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SYO236^5 : TPTP v9.2.1. Released v4.0.0. % 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 : n020.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 : Wed Jun 3 00:01:41 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 0.37/0.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.62 % SZS status Theorem % 0.37/0.62 % SZS output start Proof % 0.37/0.62 ( % 0.37/0.62 (declare-sort tptp.b 0) % 0.37/0.62 (declare-sort tptp.a 0) % 0.37/0.62 (declare-const tptp.f (-> tptp.b tptp.a)) % 0.37/0.62 (declare-const tptp.g (-> tptp.b tptp.a)) % 0.37/0.62 (define @t1 () (@var "Xx" tptp.b)) % 0.37/0.62 (define @t2 () (_ tptp.g @t1)) % 0.37/0.62 (define @t3 () (_ tptp.f @t1)) % 0.37/0.62 (define @t4 () (= @t3 @t2)) % 0.37/0.62 (define @t5 () (@list @t1)) % 0.37/0.62 (define @t6 () (forall @t5 @t4)) % 0.37/0.62 (define @t7 () (@var "Q" (-> (-> tptp.b tptp.a) Bool))) % 0.37/0.62 (define @t8 () (_ @t7 tptp.g)) % 0.37/0.62 (define @t9 () (_ @t7 tptp.f)) % 0.37/0.62 (define @t10 () (@list @t7)) % 0.37/0.62 (define @t11 () (forall @t10 (=> @t9 @t8))) % 0.37/0.62 (define @t12 () (or @t11 @t6)) % 0.37/0.62 (define @t13 () (=> @t12 (= tptp.f tptp.g))) % 0.37/0.62 (define @t14 () (not @t13)) % 0.37/0.62 (define @t15 () (tptp.g @t1)) % 0.37/0.62 (define @t16 () (tptp.f @t1)) % 0.37/0.62 (define @t17 () (_ @t7 tptp.g)) % 0.37/0.62 (define @t18 () (_ @t7 tptp.f)) % 0.37/0.62 (define @t19 () (not @t9)) % 0.37/0.62 (define @t20 () (or @t19 @t8)) % 0.37/0.62 (define @t21 () (@const 0 tptp.b)) % 0.37/0.62 (define @t22 () (tptp.f @t21)) % 0.37/0.62 (define @t23 () (tptp.g @t21)) % 0.37/0.62 (define @t24 () (= @t23 @t22)) % 0.37/0.62 (define @t25 () (not @t24)) % 0.37/0.62 (define @t26 () (= tptp.g tptp.f)) % 0.37/0.62 (define @t27 () (@list true)) % 0.37/0.62 (define @t28 () (@list @t26)) % 0.37/0.62 (define @t29 () (@var "BOUND_VARIABLE_14679" (-> tptp.b tptp.a))) % 0.37/0.62 (define @t30 () (lambda (@list @t29) (= @t29 tptp.f))) % 0.37/0.62 (define @t31 () (_ @t30 tptp.g)) % 0.37/0.62 (define @t32 () (_ @t30 tptp.f)) % 0.37/0.62 (define @t33 () (not @t32)) % 0.37/0.62 (define @t34 () (or @t33 @t31)) % 0.37/0.62 (define @t35 () (forall @t10 (or (not @t18) @t17))) % 0.37/0.62 (define @t36 () (not @t35)) % 0.37/0.62 (define @t37 () (forall @t5 (= @t16 @t15))) % 0.37/0.62 (define @t38 () (= @t22 @t23)) % 0.37/0.62 (assume @p1 @t14) % 0.37/0.62 (assume @p2 true) % 0.37/0.62 (step @p3 :rule eq-symm :args (tptp.f tptp.g)) % 0.37/0.62 (step @p4 :rule refl :args (@t15)) % 0.37/0.62 (step @p5 :rule refl :args (@t2)) % 0.37/0.62 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t2 @t15))) % 0.37/0.62 (step @p7 :rule symm :premises (@p6)) % 0.37/0.62 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.37/0.62 (step @p9 :rule refl :args (@t16)) % 0.37/0.62 (step @p10 :rule refl :args (@t3)) % 0.37/0.62 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t3 @t16))) % 0.37/0.62 (step @p12 :rule symm :premises (@p11)) % 0.37/0.62 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.37/0.62 (step @p14 :rule cong :premises (@p13 @p8) :args (@t4)) % 0.37/0.62 (step @p15 :rule cong :premises (@p14) :args (@t6)) % 0.37/0.62 (step @p16 :rule refl :args (@t17)) % 0.37/0.62 (step @p17 :rule refl :args (@t8)) % 0.37/0.62 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t8 @t17))) % 0.37/0.62 (step @p19 :rule symm :premises (@p18)) % 0.37/0.62 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.37/0.62 (step @p21 :rule refl :args (@t18)) % 0.37/0.62 (step @p22 :rule refl :args (@t9)) % 0.37/0.62 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t9 @t18))) % 0.37/0.62 (step @p24 :rule symm :premises (@p23)) % 0.37/0.62 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.37/0.62 (step @p26 :rule cong :premises (@p25) :args (@t19)) % 0.37/0.62 (step @p27 :rule nary_cong :premises (@p26 @p20) :args (@t20)) % 0.37/0.62 (step @p28 :rule cong :premises (@p27) :args ((forall @t10 @t20))) % 0.37/0.62 (step @p29 :rule bool-impl-elim :args (@t9 @t8)) % 0.37/0.62 (step @p30 :rule cong :premises (@p29) :args (@t11)) % 0.37/0.62 (step @p31 :rule trans :premises (@p30 @p28)) % 0.37/0.62 (step @p32 :rule nary_cong :premises (@p31 @p15) :args (@t12)) % 0.37/0.62 (step @p33 :rule cong :premises (@p32 @p3) :args (@t13)) % 0.37/0.62 (step @p34 :rule cong :premises (@p33) :args (@t14)) % 0.37/0.62 (step @p35 :rule eq_resolve :premises (@p1 @p34)) % 0.37/0.62 (step @p36 :rule not_implies_elim2 :premises (@p35)) % 0.37/0.62 ; WARNING: add trust step for TRUST % 0.37/0.62 ; trust TRUST THEORY_LEMMA % 0.37/0.62 (step @p37 :rule trust :premises () :args ((or @t26 @t25))) % 0.37/0.62 (step @p38 :rule chain_m_resolution :premises (@p37 @p36) :args (@t25 @t27 @t28)) % 0.37/0.62 (step @p39 :rule aci_norm :args ((= (or false @t26) @t26))) % 0.37/0.62 (step @p40 :rule beta-reduce :args ((= @t31 @t26))) % 0.37/0.62 (step @p41 :rule evaluate :args ((not true))) % 0.37/0.62 (step @p42 :rule eq-refl :args (tptp.f)) % 0.37/0.62 (step @p43 :rule beta-reduce :args ((= @t32 (= tptp.f tptp.f)))) % 0.37/0.62 (step @p44 :rule trans :premises (@p43 @p42)) % 0.37/0.62 (step @p45 :rule cong :premises (@p44) :args (@t33)) % 0.37/0.62 (step @p46 :rule trans :premises (@p45 @p41)) % 0.37/0.62 (step @p47 :rule nary_cong :premises (@p46 @p40) :args (@t34)) % 0.37/0.62 (step @p48 :rule trans :premises (@p47 @p39)) % 0.37/0.62 (step @p49 :rule refl :args (@t35)) % 0.35/0.63 (step @p50 :rule cong :premises (@p49 @p48) :args ((=> @t35 @t34))) % 0.35/0.63 (assume-push @p71 @t35) % 0.35/0.63 (step @p52 :rule instantiate :premises (@p71) :args ((@list @t30))) % 0.35/0.63 (step-pop @p72 :rule scope :premises (@p52)) % 0.35/0.63 (step @p53 :rule process_scope :premises (@p72) :args (@t34)) % 0.35/0.63 (step @p55 :rule eq_resolve :premises (@p53 @p50)) % 0.35/0.63 (step @p56 :rule implies_elim :premises (@p55)) % 0.35/0.63 (step @p57 :rule reordering :premises (@p56) :args ((or @t26 @t36))) % 0.35/0.63 (step @p58 :rule chain_m_resolution :premises (@p57 @p36) :args (@t36 @t27 @t28)) % 0.35/0.63 (step @p59 :rule not_implies_elim1 :premises (@p35)) % 0.35/0.63 (step @p60 :rule chain_m_resolution :premises (@p59 @p58) :args (@t37 @t27 (@list @t35))) % 0.35/0.63 (step @p61 :rule eq-symm :args (@t22 @t23)) % 0.35/0.63 (step @p62 :rule refl :args (@t37)) % 0.35/0.63 (step @p63 :rule cong :premises (@p62 @p61) :args ((=> @t37 @t38))) % 0.35/0.63 (assume-push @p73 @t37) % 0.35/0.63 (step @p65 :rule instantiate :premises (@p73) :args ((@list @t21))) % 0.35/0.63 (step-pop @p74 :rule scope :premises (@p65)) % 0.35/0.63 (step @p66 :rule process_scope :premises (@p74) :args (@t38)) % 0.35/0.63 (step @p68 :rule eq_resolve :premises (@p66 @p63)) % 0.35/0.63 (step @p69 :rule implies_elim :premises (@p68)) % 0.35/0.63 (step @p70 false :rule chain_m_resolution :premises (@p69 @p60 @p38) :args (false (@list false true) (@list @t37 @t24))) % 0.35/0.63 ) % 0.35/0.63 % SZS output end Proof % 0.35/0.63 % cvc5 exiting %------------------------------------------------------------------------------