%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM701^1 : 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 : n004.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 08:40:26 AM UTC 2026 % Result : Theorem 0.32s 0.56s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : NUM701^1 : 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 % 0.18/0.35 % Computer : n004.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 11:59:37 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.32/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.32/0.56 % SZS status Theorem % 0.32/0.56 % SZS output start Proof % 0.32/0.56 ( % 0.32/0.56 (declare-sort tptp.nat 0) % 0.32/0.56 (declare-const tptp.n_1 tptp.nat) % 0.32/0.56 (declare-const tptp.lessis (-> tptp.nat tptp.nat Bool)) % 0.32/0.56 (declare-const tptp.less (-> tptp.nat tptp.nat Bool)) % 0.32/0.56 (declare-const tptp.y tptp.nat) % 0.32/0.56 (declare-const tptp.pl (-> tptp.nat tptp.nat tptp.nat)) % 0.32/0.56 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 0.32/0.56 (declare-const tptp.x tptp.nat) % 0.32/0.56 (define @t1 () (_ tptp.suc tptp.x)) % 0.32/0.56 (define @t2 () (_ tptp.less tptp.y)) % 0.32/0.56 (define @t3 () (_ @t2 @t1)) % 0.32/0.56 (define @t4 () (@var "Xx" tptp.nat)) % 0.32/0.56 (define @t5 () (@var "Xy" tptp.nat)) % 0.32/0.56 (define @t6 () (_ (_ tptp.lessis @t5) @t4)) % 0.32/0.56 (define @t7 () (_ (_ tptp.pl @t4) tptp.n_1)) % 0.32/0.56 (define @t8 () (_ tptp.less @t5)) % 0.32/0.56 (define @t9 () (_ @t8 @t7)) % 0.32/0.56 (define @t10 () (@list @t4 @t5)) % 0.32/0.56 (define @t11 () (forall @t10 (=> @t9 @t6))) % 0.32/0.56 (define @t12 () (_ tptp.suc @t4)) % 0.32/0.56 (define @t13 () (@list @t4)) % 0.32/0.56 (define @t14 () (forall @t13 (= @t12 @t7))) % 0.32/0.56 (define @t15 () (_ (_ tptp.lessis tptp.y) tptp.x)) % 0.32/0.56 (define @t16 () (not @t15)) % 0.32/0.56 (define @t17 () (tptp.suc tptp.x)) % 0.32/0.56 (define @t18 () (tptp.less tptp.y @t17)) % 0.32/0.56 (define @t19 () (tptp.suc @t4)) % 0.32/0.56 (define @t20 () (tptp.pl @t4 tptp.n_1)) % 0.32/0.56 (define @t21 () (= @t7 @t12)) % 0.32/0.56 (define @t22 () (tptp.pl tptp.x tptp.n_1)) % 0.32/0.56 (define @t23 () (forall @t13 (= @t20 @t19))) % 0.32/0.56 (define @t24 () (= @t22 @t17)) % 0.32/0.56 (define @t25 () (@list tptp.x)) % 0.32/0.56 (define @t26 () (= @t17 @t22)) % 0.32/0.56 (define @t27 () (tptp.lessis @t5 @t4)) % 0.32/0.56 (define @t28 () (tptp.less @t5 @t20)) % 0.32/0.56 (define @t29 () (not @t9)) % 0.32/0.56 (define @t30 () (or @t29 @t6)) % 0.32/0.56 (define @t31 () (tptp.lessis tptp.y tptp.x)) % 0.32/0.56 (define @t32 () (tptp.less tptp.y @t22)) % 0.32/0.56 (define @t33 () (not @t32)) % 0.32/0.56 (define @t34 () (or @t33 @t31)) % 0.32/0.56 (define @t35 () (and @t18 @t26)) % 0.32/0.56 (assume @p1 @t3) % 0.32/0.56 (assume @p2 @t11) % 0.32/0.56 (assume @p3 @t14) % 0.32/0.56 (assume @p4 @t16) % 0.32/0.56 (assume @p5 true) % 0.32/0.56 (step @p6 :rule refl :args ((tptp.less tptp.y @t1))) % 0.32/0.56 (step @p7 :rule refl :args (@t17)) % 0.32/0.56 (step @p8 :rule refl :args (tptp.y)) % 0.32/0.56 (step @p9 :rule cong :premises (@p8 @p7) :args (@t18)) % 0.32/0.56 (step @p10 :rule trans :premises (@p9 @p6)) % 0.32/0.56 (step @p11 :rule refl :args (@t2)) % 0.32/0.56 (step @p12 :rule ho_cong :premises (@p11 @p7)) % 0.32/0.56 (step @p13 :rule cong :premises (@p12 @p10) :args ((= (_ @t2 @t17) @t18))) % 0.32/0.56 (step @p14 :rule symm :premises (@p13)) % 0.32/0.56 (step @p15 :rule refl :args (@t3)) % 0.32/0.56 (step @p16 :rule eq_resolve :premises (@p15 @p14)) % 0.32/0.56 (step @p17 :rule refl :args (@t1)) % 0.32/0.56 (step @p18 :rule cong :premises (@p17 @p7) :args ((= @t1 @t17))) % 0.32/0.56 (step @p19 :rule symm :premises (@p18)) % 0.32/0.56 (step @p20 :rule eq_resolve :premises (@p17 @p19)) % 0.32/0.56 (step @p21 :rule refl :args (@t2)) % 0.32/0.56 (step @p22 :rule ho_cong :premises (@p21 @p20)) % 0.32/0.56 (step @p23 :rule trans :premises (@p22 @p16)) % 0.32/0.56 (step @p24 :rule eq_resolve :premises (@p1 @p23)) % 0.32/0.56 (step @p25 :rule refl :args (@t19)) % 0.32/0.56 (step @p26 :rule refl :args (@t12)) % 0.32/0.56 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t12 @t19))) % 0.32/0.56 (step @p28 :rule symm :premises (@p27)) % 0.32/0.56 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 0.32/0.56 (step @p30 :rule refl :args (@t20)) % 0.32/0.56 (step @p31 :rule refl :args (@t7)) % 0.32/0.56 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t7 @t20))) % 0.32/0.56 (step @p33 :rule symm :premises (@p32)) % 0.32/0.56 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.32/0.56 (step @p35 :rule cong :premises (@p34 @p29) :args (@t21)) % 0.32/0.56 (step @p36 :rule cong :premises (@p35) :args ((forall @t13 @t21))) % 0.32/0.56 (step @p37 :rule eq-symm :args (@t12 @t7)) % 0.32/0.56 (step @p38 :rule cong :premises (@p37) :args (@t14)) % 0.32/0.56 (step @p39 :rule trans :premises (@p38 @p36)) % 0.32/0.56 (step @p40 :rule eq_resolve :premises (@p3 @p39)) % 0.32/0.56 (step @p41 :rule eq-symm :args (@t22 @t17)) % 0.32/0.56 (step @p42 :rule refl :args (@t23)) % 0.32/0.56 (step @p43 :rule cong :premises (@p42 @p41) :args ((=> @t23 @t24))) % 0.32/0.56 (assume-push @p101 @t23) % 0.32/0.56 (step @p45 :rule instantiate :premises (@p40) :args (@t25)) % 0.32/0.56 (step-pop @p102 :rule scope :premises (@p45)) % 0.32/0.56 (step @p46 :rule process_scope :premises (@p102) :args (@t24)) % 0.32/0.56 (step @p48 :rule eq_resolve :premises (@p46 @p43)) % 0.32/0.56 (step @p49 :rule implies_elim :premises (@p48)) % 0.32/0.56 (step @p50 :rule chain_m_resolution :premises (@p49 @p40) :args (@t26 (@list false) (@list @t23))) % 0.32/0.56 (step @p51 :rule refl :args (@t27)) % 0.32/0.56 (step @p52 :rule refl :args (@t6)) % 0.32/0.56 (step @p53 :rule cong :premises (@p52 @p51) :args ((= @t6 @t27))) % 0.32/0.56 (step @p54 :rule symm :premises (@p53)) % 0.32/0.56 (step @p55 :rule eq_resolve :premises (@p52 @p54)) % 0.32/0.56 (step @p56 :rule refl :args ((tptp.less @t5 @t7))) % 0.32/0.56 (step @p57 :rule refl :args (@t5)) % 0.32/0.56 (step @p58 :rule cong :premises (@p57 @p30) :args (@t28)) % 0.32/0.56 (step @p59 :rule trans :premises (@p58 @p56)) % 0.32/0.56 (step @p60 :rule refl :args (@t8)) % 0.32/0.56 (step @p61 :rule ho_cong :premises (@p60 @p30)) % 0.32/0.56 (step @p62 :rule cong :premises (@p61 @p59) :args ((= (_ @t8 @t20) @t28))) % 0.32/0.56 (step @p63 :rule symm :premises (@p62)) % 0.32/0.56 (step @p64 :rule refl :args (@t9)) % 0.32/0.56 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.32/0.56 (step @p66 :rule ho_cong :premises (@p60 @p34)) % 0.32/0.56 (step @p67 :rule trans :premises (@p66 @p65)) % 0.32/0.56 (step @p68 :rule cong :premises (@p67) :args (@t29)) % 0.32/0.56 (step @p69 :rule nary_cong :premises (@p68 @p55) :args (@t30)) % 0.32/0.56 (step @p70 :rule cong :premises (@p69) :args ((forall @t10 @t30))) % 0.32/0.56 (step @p71 :rule bool-impl-elim :args (@t9 @t6)) % 0.32/0.56 (step @p72 :rule cong :premises (@p71) :args (@t11)) % 0.32/0.56 (step @p73 :rule trans :premises (@p72 @p70)) % 0.32/0.56 (step @p74 :rule eq_resolve :premises (@p2 @p73)) % 0.32/0.56 (step @p75 :rule instantiate :premises (@p74) :args ((@list tptp.x tptp.y))) % 0.32/0.56 (step @p76 :rule refl :args (@t31)) % 0.32/0.56 (step @p77 :rule refl :args (@t15)) % 0.32/0.56 (step @p78 :rule cong :premises (@p77 @p76) :args ((= @t15 @t31))) % 0.32/0.56 (step @p79 :rule symm :premises (@p78)) % 0.32/0.56 (step @p80 :rule eq_resolve :premises (@p77 @p79)) % 0.32/0.56 (step @p81 :rule cong :premises (@p80) :args (@t16)) % 0.32/0.56 (step @p82 :rule eq_resolve :premises (@p4 @p81)) % 0.32/0.56 (step @p83 :rule cnf_or_pos :args (@t34)) % 0.32/0.56 (step @p84 :rule reordering :premises (@p83) :args ((or @t31 @t33 (not @t34)))) % 0.32/0.56 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p75) :args (@t33 (@list true false) (@list @t31 @t34))) % 0.32/0.56 (assume-push @p103 @t18) % 0.32/0.56 (assume-push @p104 @t26) % 0.32/0.56 (step @p88 :rule true_intro :premises (@p24)) % 0.32/0.56 (step @p45 :rule instantiate :premises (@p40) :args (@t25)) % 0.32/0.56 (step @p89 :rule refl :args (tptp.y)) % 0.32/0.56 (step @p90 :rule cong :premises (@p89 @p45) :args (@t32)) % 0.32/0.56 (step @p91 :rule trans :premises (@p90 @p88)) % 0.32/0.56 (step @p92 :rule true_elim :premises (@p91)) % 0.32/0.56 (step-pop @p105 :rule scope :premises (@p92)) % 0.32/0.56 (step-pop @p106 :rule scope :premises (@p105)) % 0.32/0.56 (step @p93 :rule process_scope :premises (@p106) :args (@t32)) % 0.32/0.56 (step @p96 :rule implies_elim :premises (@p93)) % 0.32/0.56 (step @p97 :rule cnf_and_neg :args (@t35)) % 0.32/0.56 (step @p98 :rule resolution :premises (@p97 @p96) :args (true @t35)) % 0.32/0.56 (step @p99 :rule reordering :premises (@p98) :args ((or (not @t18) @t32 (not @t26)))) % 0.32/0.56 (step @p100 false :rule chain_m_resolution :premises (@p99 @p85 @p50 @p24) :args (false (@list true false false) (@list @t32 @t26 @t18))) % 0.32/0.56 ) % 0.32/0.56 % SZS output end Proof % 0.32/0.56 % cvc5 exiting %------------------------------------------------------------------------------