%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO360^5 : 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 : n017.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 09:12:29 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYO360^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.35 % Computer : n017.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 300 % 0.15/0.35 % DateTime : Wed Jun 3 00:04:01 EDT 2026 % 0.15/0.35 % CPUTime : % 0.31/0.50 %----Proving TH0 % 0.37/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort tptp.a 0) % 0.37/0.57 (declare-const tptp.f (-> (-> tptp.a tptp.a) tptp.a tptp.a)) % 0.37/0.57 (declare-const tptp.h (-> tptp.a tptp.a)) % 0.37/0.57 (declare-const tptp.g (-> (-> tptp.a tptp.a) tptp.a tptp.a)) % 0.37/0.57 (declare-const tptp.j (-> tptp.a tptp.a)) % 0.37/0.57 (define @t1 () (= (_ tptp.f tptp.h) (_ tptp.g tptp.j))) % 0.37/0.57 (define @t2 () (@var "Z" tptp.a)) % 0.37/0.57 (define @t3 () (_ tptp.j @t2)) % 0.37/0.57 (define @t4 () (_ tptp.h @t2)) % 0.37/0.57 (define @t5 () (= @t4 @t3)) % 0.37/0.57 (define @t6 () (@list @t2)) % 0.37/0.57 (define @t7 () (forall @t6 @t5)) % 0.37/0.57 (define @t8 () (@var "Y" tptp.a)) % 0.37/0.57 (define @t9 () (@var "X" (-> tptp.a tptp.a))) % 0.37/0.57 (define @t10 () (_ (_ tptp.g @t9) @t8)) % 0.37/0.57 (define @t11 () (_ (_ tptp.f @t9) @t8)) % 0.37/0.57 (define @t12 () (= @t11 @t10)) % 0.37/0.57 (define @t13 () (forall (@list @t9 @t8) @t12)) % 0.37/0.57 (define @t14 () (and @t13 @t7)) % 0.37/0.57 (define @t15 () (=> @t14 @t1)) % 0.37/0.57 (define @t16 () (not @t15)) % 0.37/0.57 (define @t17 () (tptp.j @t2)) % 0.37/0.57 (define @t18 () (tptp.h @t2)) % 0.37/0.57 (define @t19 () (tptp.g @t9 @t8)) % 0.37/0.57 (define @t20 () (tptp.f @t9 @t8)) % 0.37/0.57 (define @t21 () (@const 0 tptp.a)) % 0.37/0.57 (define @t22 () (tptp.f tptp.h @t21)) % 0.37/0.57 (define @t23 () (= @t22 (tptp.g tptp.j @t21))) % 0.37/0.57 (define @t24 () (not @t23)) % 0.37/0.57 (define @t25 () (@const 1 tptp.a)) % 0.37/0.57 (define @t26 () (tptp.h @t25)) % 0.37/0.57 (define @t27 () (tptp.j @t25)) % 0.37/0.57 (define @t28 () (forall @t6 (= @t18 @t17))) % 0.37/0.57 (define @t29 () (= @t26 @t27)) % 0.37/0.57 (define @t30 () (= @t27 @t26)) % 0.37/0.57 (define @t31 () (@list false)) % 0.37/0.57 (define @t32 () (= tptp.j tptp.h)) % 0.37/0.57 (define @t33 () (tptp.g tptp.h @t21)) % 0.37/0.57 (define @t34 () (= @t22 @t33)) % 0.37/0.57 (define @t35 () (not @t34)) % 0.37/0.57 (define @t36 () (not @t32)) % 0.37/0.57 (define @t37 () (and @t35 @t34)) % 0.37/0.57 (assume @p1 @t16) % 0.37/0.57 (assume @p2 true) % 0.37/0.57 (step @p3 :rule refl :args (@t1)) % 0.37/0.57 (step @p4 :rule refl :args (@t17)) % 0.37/0.57 (step @p5 :rule refl :args (@t3)) % 0.37/0.57 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t3 @t17))) % 0.37/0.57 (step @p7 :rule symm :premises (@p6)) % 0.37/0.57 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.37/0.57 (step @p9 :rule refl :args (@t18)) % 0.37/0.57 (step @p10 :rule refl :args (@t4)) % 0.37/0.57 (step @p11 :rule cong :premises (@p10 @p9) :args ((= @t4 @t18))) % 0.37/0.57 (step @p12 :rule symm :premises (@p11)) % 0.37/0.57 (step @p13 :rule eq_resolve :premises (@p10 @p12)) % 0.37/0.57 (step @p14 :rule cong :premises (@p13 @p8) :args (@t5)) % 0.37/0.57 (step @p15 :rule cong :premises (@p14) :args (@t7)) % 0.37/0.57 (step @p16 :rule refl :args (@t19)) % 0.37/0.57 (step @p17 :rule refl :args (@t10)) % 0.37/0.57 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t10 @t19))) % 0.37/0.57 (step @p19 :rule symm :premises (@p18)) % 0.37/0.57 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.37/0.57 (step @p21 :rule refl :args (@t20)) % 0.37/0.57 (step @p22 :rule refl :args (@t11)) % 0.37/0.57 (step @p23 :rule cong :premises (@p22 @p21) :args ((= @t11 @t20))) % 0.37/0.57 (step @p24 :rule symm :premises (@p23)) % 0.37/0.57 (step @p25 :rule eq_resolve :premises (@p22 @p24)) % 0.37/0.57 (step @p26 :rule cong :premises (@p25 @p20) :args (@t12)) % 0.37/0.57 (step @p27 :rule cong :premises (@p26) :args (@t13)) % 0.37/0.57 (step @p28 :rule nary_cong :premises (@p27 @p15) :args (@t14)) % 0.37/0.57 (step @p29 :rule cong :premises (@p28 @p3) :args (@t15)) % 0.37/0.57 (step @p30 :rule cong :premises (@p29) :args (@t16)) % 0.37/0.57 (step @p31 :rule eq_resolve :premises (@p1 @p30)) % 0.37/0.57 (step @p32 :rule not_implies_elim2 :premises (@p31)) % 0.37/0.57 ; WARNING: add trust step for TRUST % 0.37/0.57 ; trust TRUST THEORY_LEMMA % 0.37/0.57 (step @p33 :rule trust :premises () :args ((or @t1 @t24))) % 0.37/0.57 (step @p34 :rule chain_m_resolution :premises (@p33 @p32) :args (@t24 (@list true) (@list @t1))) % 0.37/0.57 (step @p35 :rule not_implies_elim1 :premises (@p31)) % 0.37/0.57 (step @p36 :rule and_elim :premises (@p35) :args (1)) % 0.37/0.57 (step @p37 :rule eq-symm :args (@t26 @t27)) % 0.37/0.57 (step @p38 :rule refl :args (@t28)) % 0.37/0.57 (step @p39 :rule cong :premises (@p38 @p37) :args ((=> @t28 @t29))) % 0.37/0.57 (assume-push @p87 @t28) % 0.37/0.57 (step @p41 :rule instantiate :premises (@p36) :args ((@list @t25))) % 0.37/0.57 (step-pop @p88 :rule scope :premises (@p41)) % 0.37/0.57 (step @p42 :rule process_scope :premises (@p88) :args (@t29)) % 0.37/0.57 (step @p44 :rule eq_resolve :premises (@p42 @p39)) % 0.37/0.57 (step @p45 :rule implies_elim :premises (@p44)) % 0.37/0.57 (step @p46 :rule chain_m_resolution :premises (@p45 @p36) :args (@t30 @t31 (@list @t28))) % 0.37/0.57 ; trust TRUST THEORY_LEMMA % 0.37/0.57 (step @p47 :rule trust :premises () :args ((or @t32 (not @t30)))) % 0.37/0.57 (step @p48 :rule chain_m_resolution :premises (@p47 @p46) :args (@t32 @t31 (@list @t30))) % 0.37/0.57 (step @p49 :rule and_elim :premises (@p35) :args (0)) % 0.37/0.57 (step @p50 :rule instantiate :premises (@p49) :args ((@list tptp.h @t21))) % 0.37/0.57 (step @p51 :rule refl :args (@t35)) % 0.37/0.57 (step @p52 :rule refl :args (@t36)) % 0.37/0.57 (step @p53 :rule bool-double-not-elim :args (@t23)) % 0.37/0.57 (step @p54 :rule nary_cong :premises (@p53 @p52 @p51) :args ((or (not @t24) @t36 @t35))) % 0.37/0.57 (assume-push @p89 @t35) % 0.37/0.57 (assume-push @p90 @t34) % 0.37/0.57 (step @p57 :rule evaluate :args ((= false true))) % 0.37/0.57 (step @p58 :rule true_intro :premises (@p50)) % 0.37/0.57 (step @p59 :rule false_intro :premises (@p34)) % 0.37/0.57 (step @p60 :rule refl :args (@t21)) % 0.37/0.57 (step @p61 :rule symm :premises (@p48)) % 0.37/0.57 (step @p62 :rule cong :premises (@p61 @p60) :args (@t33)) % 0.37/0.57 (step @p63 :rule refl :args (@t22)) % 0.37/0.57 (step @p64 :rule cong :premises (@p63 @p62) :args (@t34)) % 0.37/0.57 (step @p65 :rule trans :premises (@p64 @p59)) % 0.37/0.57 (step @p66 :rule symm :premises (@p65)) % 0.37/0.57 (step @p67 :rule trans :premises (@p66 @p58)) % 0.37/0.57 (step @p68 false :rule eq_resolve :premises (@p67 @p57)) % 0.37/0.57 (step-pop @p91 :rule scope :premises (@p68)) % 0.37/0.57 (step-pop @p92 :rule scope :premises (@p91)) % 0.37/0.57 (step @p69 :rule process_scope :premises (@p92) :args (false)) % 0.37/0.57 (assume-push @p93 @t24) % 0.37/0.57 (assume-push @p94 @t32) % 0.37/0.57 (assume-push @p95 @t34) % 0.37/0.57 (step @p59 :rule false_intro :premises (@p34)) % 0.37/0.57 (step @p60 :rule refl :args (@t21)) % 0.37/0.57 (step @p61 :rule symm :premises (@p48)) % 0.37/0.57 (step @p62 :rule cong :premises (@p61 @p60) :args (@t33)) % 0.37/0.57 (step @p63 :rule refl :args (@t22)) % 0.37/0.57 (step @p64 :rule cong :premises (@p63 @p62) :args (@t34)) % 0.37/0.57 (step @p75 :rule trans :premises (@p64 @p59)) % 0.37/0.57 (step @p76 :rule false_elim :premises (@p75)) % 0.37/0.57 (step @p77 :rule and_intro :premises (@p76 @p50)) % 0.37/0.57 (step-pop @p96 :rule scope :premises (@p77)) % 0.37/0.57 (step-pop @p97 :rule scope :premises (@p96)) % 0.37/0.57 (step-pop @p98 :rule scope :premises (@p97)) % 0.37/0.57 (step @p78 :rule process_scope :premises (@p98) :args (@t37)) % 0.37/0.57 (step @p82 :rule implies_elim :premises (@p78)) % 0.37/0.57 (step @p83 :rule resolution :premises (@p82 @p69) :args (true @t37)) % 0.37/0.57 (step @p84 :rule not_and :premises (@p83)) % 0.37/0.57 (step @p85 :rule eq_resolve :premises (@p84 @p54)) % 0.37/0.57 (step @p86 false :rule chain_m_resolution :premises (@p85 @p50 @p48 @p34) :args (false (@list false false true) (@list @t34 @t32 @t23))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------