%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM699^1 : TPTP v9.2.1. Released v3.7.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:40:25 AM UTC 2026 % Result : Theorem 0.36s 0.57s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : NUM699^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n018.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 11:58:20 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.51 %----Proving TH0 % 0.36/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.57 % SZS status Theorem % 0.36/0.57 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort tptp.nat 0) % 0.36/0.57 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 0.36/0.57 (declare-const tptp.pl (-> tptp.nat tptp.nat tptp.nat)) % 0.36/0.57 (declare-const tptp.n_1 tptp.nat) % 0.36/0.57 (declare-const tptp.less (-> tptp.nat tptp.nat Bool)) % 0.36/0.57 (declare-const tptp.y tptp.nat) % 0.36/0.57 (declare-const tptp.lessis (-> tptp.nat tptp.nat Bool)) % 0.36/0.57 (declare-const tptp.x tptp.nat) % 0.36/0.57 (define @t1 () (_ (_ tptp.less tptp.y) tptp.x)) % 0.36/0.57 (define @t2 () (@var "Xx" tptp.nat)) % 0.36/0.57 (define @t3 () (@var "Xy" tptp.nat)) % 0.36/0.57 (define @t4 () (_ (_ tptp.pl @t3) tptp.n_1)) % 0.36/0.57 (define @t5 () (_ (_ tptp.lessis @t4) @t2)) % 0.36/0.57 (define @t6 () (_ (_ tptp.less @t3) @t2)) % 0.36/0.57 (define @t7 () (@list @t2 @t3)) % 0.36/0.57 (define @t8 () (forall @t7 (=> @t6 @t5))) % 0.36/0.57 (define @t9 () (_ tptp.suc @t2)) % 0.36/0.57 (define @t10 () (_ (_ tptp.pl @t2) tptp.n_1)) % 0.36/0.57 (define @t11 () (= @t10 @t9)) % 0.36/0.57 (define @t12 () (@list @t2)) % 0.36/0.57 (define @t13 () (forall @t12 @t11)) % 0.36/0.57 (define @t14 () (_ tptp.suc tptp.y)) % 0.36/0.57 (define @t15 () (_ (_ tptp.lessis @t14) tptp.x)) % 0.36/0.57 (define @t16 () (not @t15)) % 0.36/0.57 (define @t17 () (tptp.suc tptp.y)) % 0.36/0.57 (define @t18 () (tptp.lessis @t17 tptp.x)) % 0.36/0.57 (define @t19 () (tptp.suc @t2)) % 0.36/0.57 (define @t20 () (tptp.pl @t2 tptp.n_1)) % 0.36/0.57 (define @t21 () (tptp.pl tptp.y tptp.n_1)) % 0.36/0.57 (define @t22 () (forall @t12 (= @t20 @t19))) % 0.36/0.57 (define @t23 () (= @t21 @t17)) % 0.36/0.57 (define @t24 () (@list tptp.y)) % 0.36/0.57 (define @t25 () (= @t17 @t21)) % 0.36/0.57 (define @t26 () (tptp.pl @t3 tptp.n_1)) % 0.36/0.57 (define @t27 () (tptp.lessis @t26 @t2)) % 0.36/0.57 (define @t28 () (tptp.less @t3 @t2)) % 0.36/0.57 (define @t29 () (not @t6)) % 0.36/0.57 (define @t30 () (or @t29 @t5)) % 0.36/0.57 (define @t31 () (tptp.less tptp.y tptp.x)) % 0.36/0.57 (define @t32 () (tptp.lessis @t21 tptp.x)) % 0.36/0.57 (define @t33 () (not @t31)) % 0.36/0.57 (define @t34 () (or @t33 @t32)) % 0.36/0.57 (define @t35 () (not @t32)) % 0.36/0.57 (define @t36 () (not @t25)) % 0.36/0.57 (define @t37 () (not @t18)) % 0.36/0.57 (define @t38 () (and @t37 @t25)) % 0.36/0.57 (assume @p1 @t1) % 0.36/0.57 (assume @p2 @t8) % 0.36/0.57 (assume @p3 @t13) % 0.36/0.57 (assume @p4 @t16) % 0.36/0.57 (assume @p5 true) % 0.36/0.57 (step @p6 :rule refl :args ((tptp.lessis @t14 tptp.x))) % 0.36/0.57 (step @p7 :rule refl :args (tptp.x)) % 0.36/0.57 (step @p8 :rule refl :args (@t17)) % 0.36/0.57 (step @p9 :rule cong :premises (@p8 @p7) :args (@t18)) % 0.36/0.57 (step @p10 :rule trans :premises (@p9 @p6)) % 0.36/0.57 (step @p11 :rule refl :args (tptp.lessis)) % 0.36/0.57 (step @p12 :rule ho_cong :premises (@p11 @p8)) % 0.36/0.57 (step @p13 :rule ho_cong :premises (@p12 @p7)) % 0.36/0.57 (step @p14 :rule cong :premises (@p13 @p10) :args ((= (_ (_ tptp.lessis @t17) tptp.x) @t18))) % 0.36/0.57 (step @p15 :rule symm :premises (@p14)) % 0.36/0.57 (step @p16 :rule refl :args (@t15)) % 0.36/0.57 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 0.36/0.57 (step @p18 :rule refl :args (tptp.x)) % 0.36/0.57 (step @p19 :rule refl :args (@t14)) % 0.36/0.57 (step @p20 :rule cong :premises (@p19 @p8) :args ((= @t14 @t17))) % 0.36/0.57 (step @p21 :rule symm :premises (@p20)) % 0.36/0.57 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.36/0.57 (step @p23 :rule refl :args (tptp.lessis)) % 0.36/0.57 (step @p24 :rule ho_cong :premises (@p23 @p22)) % 0.36/0.57 (step @p25 :rule ho_cong :premises (@p24 @p18)) % 0.36/0.57 (step @p26 :rule trans :premises (@p25 @p17)) % 0.36/0.57 (step @p27 :rule cong :premises (@p26) :args (@t16)) % 0.36/0.57 (step @p28 :rule eq_resolve :premises (@p4 @p27)) % 0.36/0.57 (step @p29 :rule refl :args (@t19)) % 0.36/0.57 (step @p30 :rule refl :args (@t9)) % 0.36/0.57 (step @p31 :rule cong :premises (@p30 @p29) :args ((= @t9 @t19))) % 0.36/0.57 (step @p32 :rule symm :premises (@p31)) % 0.36/0.57 (step @p33 :rule eq_resolve :premises (@p30 @p32)) % 0.36/0.57 (step @p34 :rule refl :args (@t20)) % 0.36/0.57 (step @p35 :rule refl :args (@t10)) % 0.36/0.57 (step @p36 :rule cong :premises (@p35 @p34) :args ((= @t10 @t20))) % 0.36/0.57 (step @p37 :rule symm :premises (@p36)) % 0.36/0.57 (step @p38 :rule eq_resolve :premises (@p35 @p37)) % 0.36/0.57 (step @p39 :rule cong :premises (@p38 @p33) :args (@t11)) % 0.36/0.57 (step @p40 :rule cong :premises (@p39) :args (@t13)) % 0.36/0.57 (step @p41 :rule eq_resolve :premises (@p3 @p40)) % 0.36/0.57 (step @p42 :rule eq-symm :args (@t21 @t17)) % 0.36/0.57 (step @p43 :rule refl :args (@t22)) % 0.36/0.57 (step @p44 :rule cong :premises (@p43 @p42) :args ((=> @t22 @t23))) % 0.36/0.57 (assume-push @p111 @t22) % 0.36/0.57 (step @p46 :rule instantiate :premises (@p41) :args (@t24)) % 0.36/0.57 (step-pop @p112 :rule scope :premises (@p46)) % 0.36/0.57 (step @p47 :rule process_scope :premises (@p112) :args (@t23)) % 0.36/0.57 (step @p49 :rule eq_resolve :premises (@p47 @p44)) % 0.36/0.58 (step @p50 :rule implies_elim :premises (@p49)) % 0.36/0.58 (step @p51 :rule chain_m_resolution :premises (@p50 @p41) :args (@t25 (@list false) (@list @t22))) % 0.36/0.58 (step @p52 :rule refl :args ((tptp.lessis @t4 @t2))) % 0.36/0.58 (step @p53 :rule refl :args (@t2)) % 0.36/0.58 (step @p54 :rule refl :args (@t26)) % 0.36/0.58 (step @p55 :rule cong :premises (@p54 @p53) :args (@t27)) % 0.36/0.58 (step @p56 :rule trans :premises (@p55 @p52)) % 0.36/0.58 (step @p57 :rule ho_cong :premises (@p11 @p54)) % 0.36/0.58 (step @p58 :rule ho_cong :premises (@p57 @p53)) % 0.36/0.58 (step @p59 :rule cong :premises (@p58 @p56) :args ((= (_ (_ tptp.lessis @t26) @t2) @t27))) % 0.36/0.58 (step @p60 :rule symm :premises (@p59)) % 0.36/0.58 (step @p61 :rule refl :args (@t5)) % 0.36/0.58 (step @p62 :rule eq_resolve :premises (@p61 @p60)) % 0.36/0.58 (step @p63 :rule refl :args (@t4)) % 0.36/0.58 (step @p64 :rule cong :premises (@p63 @p54) :args ((= @t4 @t26))) % 0.36/0.58 (step @p65 :rule symm :premises (@p64)) % 0.36/0.58 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 0.36/0.58 (step @p67 :rule ho_cong :premises (@p11 @p66)) % 0.36/0.58 (step @p68 :rule ho_cong :premises (@p67 @p53)) % 0.36/0.58 (step @p69 :rule trans :premises (@p68 @p62)) % 0.36/0.58 (step @p70 :rule refl :args (@t28)) % 0.36/0.58 (step @p71 :rule refl :args (@t6)) % 0.36/0.58 (step @p72 :rule cong :premises (@p71 @p70) :args ((= @t6 @t28))) % 0.36/0.58 (step @p73 :rule symm :premises (@p72)) % 0.36/0.58 (step @p74 :rule eq_resolve :premises (@p71 @p73)) % 0.36/0.58 (step @p75 :rule cong :premises (@p74) :args (@t29)) % 0.36/0.58 (step @p76 :rule nary_cong :premises (@p75 @p69) :args (@t30)) % 0.36/0.58 (step @p77 :rule cong :premises (@p76) :args ((forall @t7 @t30))) % 0.36/0.58 (step @p78 :rule bool-impl-elim :args (@t6 @t5)) % 0.36/0.58 (step @p79 :rule cong :premises (@p78) :args (@t8)) % 0.36/0.58 (step @p80 :rule trans :premises (@p79 @p77)) % 0.36/0.58 (step @p81 :rule eq_resolve :premises (@p2 @p80)) % 0.36/0.58 (step @p82 :rule instantiate :premises (@p81) :args ((@list tptp.x tptp.y))) % 0.36/0.58 (step @p83 :rule refl :args (@t31)) % 0.36/0.58 (step @p84 :rule refl :args (@t1)) % 0.36/0.58 (step @p85 :rule cong :premises (@p84 @p83) :args ((= @t1 @t31))) % 0.36/0.58 (step @p86 :rule symm :premises (@p85)) % 0.36/0.58 (step @p87 :rule eq_resolve :premises (@p84 @p86)) % 0.36/0.58 (step @p88 :rule eq_resolve :premises (@p1 @p87)) % 0.36/0.58 (step @p89 :rule cnf_or_pos :args (@t34)) % 0.36/0.58 (step @p90 :rule reordering :premises (@p89) :args ((or @t33 @t32 (not @t34)))) % 0.36/0.58 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p82) :args (@t32 (@list false false) (@list @t31 @t34))) % 0.36/0.58 (step @p92 :rule refl :args (@t35)) % 0.36/0.58 (step @p93 :rule refl :args (@t36)) % 0.36/0.58 (step @p94 :rule bool-double-not-elim :args (@t18)) % 0.36/0.58 (step @p95 :rule nary_cong :premises (@p94 @p93 @p92) :args ((or (not @t37) @t36 @t35))) % 0.36/0.58 (assume-push @p113 @t37) % 0.36/0.58 (assume-push @p114 @t25) % 0.36/0.58 (step @p98 :rule false_intro :premises (@p28)) % 0.36/0.58 (step @p46 :rule instantiate :premises (@p41) :args (@t24)) % 0.36/0.58 (step @p99 :rule cong :premises (@p46 @p18) :args (@t32)) % 0.36/0.58 (step @p100 :rule trans :premises (@p99 @p98)) % 0.36/0.58 (step @p101 :rule false_elim :premises (@p100)) % 0.36/0.58 (step-pop @p115 :rule scope :premises (@p101)) % 0.36/0.58 (step-pop @p116 :rule scope :premises (@p115)) % 0.36/0.58 (step @p102 :rule process_scope :premises (@p116) :args (@t35)) % 0.36/0.58 (step @p105 :rule implies_elim :premises (@p102)) % 0.36/0.58 (step @p106 :rule cnf_and_neg :args (@t38)) % 0.36/0.58 (step @p107 :rule resolution :premises (@p106 @p105) :args (true @t38)) % 0.36/0.58 (step @p108 :rule eq_resolve :premises (@p107 @p95)) % 0.36/0.58 (step @p109 :rule reordering :premises (@p108) :args ((or @t18 @t35 @t36))) % 0.36/0.58 (step @p110 false :rule chain_m_resolution :premises (@p109 @p91 @p51 @p28) :args (false (@list false false true) (@list @t32 @t25 @t18))) % 0.36/0.58 ) % 0.36/0.58 % SZS output end Proof % 0.36/0.58 % cvc5 exiting %------------------------------------------------------------------------------