%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM669^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 08:40:19 AM UTC 2026 % Result : Theorem 0.27s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : NUM669^1 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n019.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 11:48:49 EDT 2026 % 0.15/0.33 % CPUTime : % 0.27/0.49 %----Proving TH0 % 0.27/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.27/0.55 % SZS status Theorem % 0.27/0.55 % SZS output start Proof % 0.27/0.55 ( % 0.27/0.55 (declare-sort tptp.nat 0) % 0.27/0.55 (declare-const tptp.x tptp.nat) % 0.27/0.55 (declare-const tptp.n_1 tptp.nat) % 0.27/0.55 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 0.27/0.55 (declare-const tptp.more (-> tptp.nat tptp.nat Bool)) % 0.27/0.55 (declare-const tptp.pl (-> tptp.nat tptp.nat tptp.nat)) % 0.27/0.55 (define @t1 () (@var "Xx" tptp.nat)) % 0.27/0.55 (define @t2 () (@var "Xy" tptp.nat)) % 0.27/0.55 (define @t3 () (_ tptp.pl @t1)) % 0.27/0.55 (define @t4 () (_ @t3 @t2)) % 0.27/0.55 (define @t5 () (_ (_ tptp.more @t4) @t1)) % 0.27/0.55 (define @t6 () (@list @t1 @t2)) % 0.27/0.55 (define @t7 () (forall @t6 @t5)) % 0.27/0.55 (define @t8 () (_ tptp.suc @t1)) % 0.27/0.55 (define @t9 () (_ @t3 tptp.n_1)) % 0.27/0.55 (define @t10 () (= @t9 @t8)) % 0.27/0.55 (define @t11 () (forall (@list @t1) @t10)) % 0.27/0.55 (define @t12 () (_ tptp.suc tptp.x)) % 0.27/0.55 (define @t13 () (_ (_ tptp.more @t12) tptp.x)) % 0.27/0.55 (define @t14 () (not @t13)) % 0.27/0.55 (define @t15 () (tptp.pl @t1 @t2)) % 0.27/0.55 (define @t16 () (tptp.more @t15 @t1)) % 0.27/0.55 (define @t17 () (tptp.suc tptp.x)) % 0.27/0.55 (define @t18 () (tptp.more @t17 tptp.x)) % 0.27/0.55 (define @t19 () (tptp.suc @t1)) % 0.27/0.55 (define @t20 () (tptp.pl @t1 tptp.n_1)) % 0.27/0.55 (define @t21 () (tptp.more (tptp.pl tptp.x tptp.n_1) tptp.x)) % 0.27/0.55 (define @t22 () (forall @t6 @t16)) % 0.27/0.55 (assume @p1 @t7) % 0.27/0.55 (assume @p2 @t11) % 0.27/0.55 (assume @p3 @t14) % 0.27/0.55 (assume @p4 true) % 0.27/0.55 (step @p5 :rule refl :args ((tptp.more @t4 @t1))) % 0.27/0.55 (step @p6 :rule refl :args (@t1)) % 0.27/0.55 (step @p7 :rule refl :args (@t15)) % 0.27/0.55 (step @p8 :rule cong :premises (@p7 @p6) :args (@t16)) % 0.27/0.55 (step @p9 :rule trans :premises (@p8 @p5)) % 0.27/0.55 (step @p10 :rule refl :args (tptp.more)) % 0.27/0.55 (step @p11 :rule ho_cong :premises (@p10 @p7)) % 0.27/0.55 (step @p12 :rule ho_cong :premises (@p11 @p6)) % 0.27/0.55 (step @p13 :rule cong :premises (@p12 @p9) :args ((= (_ (_ tptp.more @t15) @t1) @t16))) % 0.27/0.55 (step @p14 :rule symm :premises (@p13)) % 0.27/0.55 (step @p15 :rule refl :args (@t5)) % 0.27/0.55 (step @p16 :rule eq_resolve :premises (@p15 @p14)) % 0.27/0.55 (step @p17 :rule refl :args (@t4)) % 0.27/0.55 (step @p18 :rule cong :premises (@p17 @p7) :args ((= @t4 @t15))) % 0.27/0.55 (step @p19 :rule symm :premises (@p18)) % 0.27/0.55 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.27/0.55 (step @p21 :rule ho_cong :premises (@p10 @p20)) % 0.27/0.55 (step @p22 :rule ho_cong :premises (@p21 @p6)) % 0.27/0.55 (step @p23 :rule trans :premises (@p22 @p16)) % 0.27/0.55 (step @p24 :rule cong :premises (@p23) :args (@t7)) % 0.27/0.55 (step @p25 :rule eq_resolve :premises (@p1 @p24)) % 0.27/0.55 (step @p26 :rule refl :args ((tptp.more @t12 tptp.x))) % 0.27/0.55 (step @p27 :rule refl :args (tptp.x)) % 0.27/0.55 (step @p28 :rule refl :args (@t17)) % 0.27/0.55 (step @p29 :rule cong :premises (@p28 @p27) :args (@t18)) % 0.27/0.55 (step @p30 :rule trans :premises (@p29 @p26)) % 0.27/0.55 (step @p31 :rule ho_cong :premises (@p10 @p28)) % 0.27/0.55 (step @p32 :rule ho_cong :premises (@p31 @p27)) % 0.27/0.55 (step @p33 :rule cong :premises (@p32 @p30) :args ((= (_ (_ tptp.more @t17) tptp.x) @t18))) % 0.27/0.55 (step @p34 :rule symm :premises (@p33)) % 0.27/0.55 (step @p35 :rule refl :args (@t13)) % 0.27/0.55 (step @p36 :rule eq_resolve :premises (@p35 @p34)) % 0.27/0.55 (step @p37 :rule refl :args (tptp.x)) % 0.27/0.55 (step @p38 :rule refl :args (@t12)) % 0.27/0.55 (step @p39 :rule cong :premises (@p38 @p28) :args ((= @t12 @t17))) % 0.27/0.55 (step @p40 :rule symm :premises (@p39)) % 0.27/0.55 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 0.27/0.55 (step @p42 :rule refl :args (tptp.more)) % 0.27/0.55 (step @p43 :rule ho_cong :premises (@p42 @p41)) % 0.27/0.55 (step @p44 :rule ho_cong :premises (@p43 @p37)) % 0.27/0.55 (step @p45 :rule trans :premises (@p44 @p36)) % 0.27/0.55 (step @p46 :rule cong :premises (@p45) :args (@t14)) % 0.27/0.55 (step @p47 :rule eq_resolve :premises (@p3 @p46)) % 0.27/0.55 (step @p48 :rule false_intro :premises (@p47)) % 0.27/0.55 (step @p49 :rule refl :args (@t19)) % 0.27/0.55 (step @p50 :rule refl :args (@t8)) % 0.27/0.55 (step @p51 :rule cong :premises (@p50 @p49) :args ((= @t8 @t19))) % 0.27/0.55 (step @p52 :rule symm :premises (@p51)) % 0.27/0.55 (step @p53 :rule eq_resolve :premises (@p50 @p52)) % 0.27/0.55 (step @p54 :rule refl :args (@t20)) % 0.27/0.55 (step @p55 :rule refl :args (@t9)) % 0.27/0.55 (step @p56 :rule cong :premises (@p55 @p54) :args ((= @t9 @t20))) % 0.27/0.55 (step @p57 :rule symm :premises (@p56)) % 0.27/0.55 (step @p58 :rule eq_resolve :premises (@p55 @p57)) % 0.27/0.55 (step @p59 :rule cong :premises (@p58 @p53) :args (@t10)) % 0.27/0.55 (step @p60 :rule cong :premises (@p59) :args (@t11)) % 0.27/0.55 (step @p61 :rule eq_resolve :premises (@p2 @p60)) % 0.27/0.55 (step @p62 :rule instantiate :premises (@p61) :args ((@list tptp.x))) % 0.37/0.55 (step @p63 :rule cong :premises (@p62 @p37) :args (@t21)) % 0.37/0.55 (step @p64 :rule trans :premises (@p63 @p48)) % 0.37/0.55 (step @p65 :rule false_elim :premises (@p64)) % 0.37/0.55 (assume-push @p72 @t22) % 0.37/0.55 (step @p67 :rule instantiate :premises (@p25) :args ((@list tptp.x tptp.n_1))) % 0.37/0.55 (step-pop @p73 :rule scope :premises (@p67)) % 0.37/0.55 (step @p68 :rule process_scope :premises (@p73) :args (@t21)) % 0.37/0.55 (step @p70 :rule implies_elim :premises (@p68)) % 0.37/0.55 (step @p71 false :rule chain_m_resolution :premises (@p70 @p65 @p25) :args (false (@list true false) (@list @t21 @t22))) % 0.37/0.55 ) % 0.37/0.55 % SZS output end Proof % 0.37/0.55 % cvc5 exiting %------------------------------------------------------------------------------