%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM736^1 : 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 : n006.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 08:40:30 AM UTC 2026 % Result : Theorem 0.30s 0.55s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM736^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 12:06:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.30/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort tptp.nat 0) % 0.30/0.55 (declare-sort tptp.frac 0) % 0.30/0.55 (declare-const tptp.less (-> tptp.nat tptp.nat Bool)) % 0.30/0.55 (declare-const tptp.more (-> tptp.nat tptp.nat Bool)) % 0.30/0.55 (declare-const tptp.ts (-> tptp.nat tptp.nat tptp.nat)) % 0.30/0.55 (declare-const tptp.num (-> tptp.frac tptp.nat)) % 0.30/0.55 (declare-const tptp.y tptp.frac) % 0.30/0.55 (declare-const tptp.den (-> tptp.frac tptp.nat)) % 0.30/0.55 (declare-const tptp.x tptp.frac) % 0.30/0.55 (define @t1 () (_ tptp.den tptp.x)) % 0.30/0.55 (define @t2 () (_ tptp.num tptp.y)) % 0.30/0.55 (define @t3 () (_ (_ tptp.ts @t2) @t1)) % 0.30/0.55 (define @t4 () (_ tptp.den tptp.y)) % 0.30/0.55 (define @t5 () (_ tptp.num tptp.x)) % 0.30/0.55 (define @t6 () (_ (_ tptp.ts @t5) @t4)) % 0.30/0.55 (define @t7 () (_ (_ tptp.more @t6) @t3)) % 0.30/0.55 (define @t8 () (@var "Xx" tptp.nat)) % 0.30/0.55 (define @t9 () (@var "Xy" tptp.nat)) % 0.30/0.55 (define @t10 () (_ (_ tptp.less @t9) @t8)) % 0.30/0.55 (define @t11 () (_ (_ tptp.more @t8) @t9)) % 0.30/0.55 (define @t12 () (@list @t8 @t9)) % 0.30/0.55 (define @t13 () (forall @t12 (=> @t11 @t10))) % 0.30/0.55 (define @t14 () (_ (_ tptp.less @t3) @t6)) % 0.30/0.55 (define @t15 () (not @t14)) % 0.30/0.55 (define @t16 () (tptp.less @t9 @t8)) % 0.30/0.55 (define @t17 () (tptp.more @t8 @t9)) % 0.30/0.55 (define @t18 () (not @t11)) % 0.30/0.55 (define @t19 () (or @t18 @t10)) % 0.30/0.55 (define @t20 () (tptp.den tptp.x)) % 0.30/0.55 (define @t21 () (tptp.num tptp.y)) % 0.30/0.55 (define @t22 () (tptp.ts @t21 @t20)) % 0.30/0.55 (define @t23 () (tptp.den tptp.y)) % 0.30/0.55 (define @t24 () (tptp.num tptp.x)) % 0.30/0.55 (define @t25 () (tptp.ts @t24 @t23)) % 0.30/0.55 (define @t26 () (tptp.more @t25 @t22)) % 0.30/0.55 (define @t27 () (tptp.less @t22 @t25)) % 0.30/0.55 (define @t28 () (not @t26)) % 0.30/0.55 (define @t29 () (or @t28 @t27)) % 0.30/0.55 (define @t30 () (not @t29)) % 0.30/0.55 (define @t31 () (@list true false)) % 0.30/0.55 (define @t32 () (forall @t12 (or (not @t17) @t16))) % 0.30/0.55 (assume @p1 @t7) % 0.30/0.55 (assume @p2 @t13) % 0.30/0.55 (assume @p3 @t15) % 0.30/0.55 (assume @p4 true) % 0.30/0.55 (step @p5 :rule refl :args (@t16)) % 0.30/0.55 (step @p6 :rule refl :args (@t10)) % 0.30/0.55 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t10 @t16))) % 0.30/0.55 (step @p8 :rule symm :premises (@p7)) % 0.30/0.55 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.30/0.55 (step @p10 :rule refl :args (@t17)) % 0.30/0.55 (step @p11 :rule refl :args (@t11)) % 0.30/0.55 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t11 @t17))) % 0.30/0.55 (step @p13 :rule symm :premises (@p12)) % 0.30/0.55 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 0.30/0.55 (step @p15 :rule cong :premises (@p14) :args (@t18)) % 0.30/0.55 (step @p16 :rule nary_cong :premises (@p15 @p9) :args (@t19)) % 0.30/0.55 (step @p17 :rule cong :premises (@p16) :args ((forall @t12 @t19))) % 0.30/0.55 (step @p18 :rule bool-impl-elim :args (@t11 @t10)) % 0.30/0.55 (step @p19 :rule cong :premises (@p18) :args (@t13)) % 0.30/0.55 (step @p20 :rule trans :premises (@p19 @p17)) % 0.30/0.55 (step @p21 :rule eq_resolve :premises (@p2 @p20)) % 0.30/0.55 (step @p22 :rule refl :args ((tptp.more @t6 @t3))) % 0.30/0.55 (step @p23 :rule refl :args ((tptp.ts @t2 @t1))) % 0.30/0.55 (step @p24 :rule refl :args (@t20)) % 0.30/0.55 (step @p25 :rule refl :args (@t21)) % 0.30/0.55 (step @p26 :rule cong :premises (@p25 @p24) :args (@t22)) % 0.30/0.55 (step @p27 :rule trans :premises (@p26 @p23)) % 0.30/0.55 (step @p28 :rule refl :args ((tptp.ts @t5 @t4))) % 0.30/0.55 (step @p29 :rule refl :args (@t23)) % 0.30/0.55 (step @p30 :rule refl :args (@t24)) % 0.30/0.55 (step @p31 :rule cong :premises (@p30 @p29) :args (@t25)) % 0.30/0.55 (step @p32 :rule trans :premises (@p31 @p28)) % 0.30/0.55 (step @p33 :rule cong :premises (@p32 @p27) :args (@t26)) % 0.30/0.55 (step @p34 :rule trans :premises (@p33 @p22)) % 0.30/0.55 (step @p35 :rule refl :args (tptp.more)) % 0.30/0.55 (step @p36 :rule ho_cong :premises (@p35 @p32)) % 0.30/0.55 (step @p37 :rule ho_cong :premises (@p36 @p27)) % 0.30/0.55 (step @p38 :rule cong :premises (@p37 @p34) :args ((= (_ (_ tptp.more @t25) @t22) @t26))) % 0.30/0.55 (step @p39 :rule symm :premises (@p38)) % 0.30/0.55 (step @p40 :rule refl :args (@t7)) % 0.30/0.55 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 0.30/0.55 (step @p42 :rule refl :args (tptp.ts)) % 0.30/0.55 (step @p43 :rule ho_cong :premises (@p42 @p25)) % 0.30/0.55 (step @p44 :rule ho_cong :premises (@p43 @p24)) % 0.30/0.55 (step @p45 :rule cong :premises (@p44 @p27) :args ((= (_ (_ tptp.ts @t21) @t20) @t22))) % 0.30/0.55 (step @p46 :rule symm :premises (@p45)) % 0.30/0.55 (step @p47 :rule refl :args (@t3)) % 0.30/0.55 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.30/0.55 (step @p49 :rule refl :args (@t1)) % 0.30/0.55 (step @p50 :rule cong :premises (@p49 @p24) :args ((= @t1 @t20))) % 0.30/0.55 (step @p51 :rule symm :premises (@p50)) % 0.30/0.55 (step @p52 :rule eq_resolve :premises (@p49 @p51)) % 0.30/0.55 (step @p53 :rule refl :args (@t2)) % 0.30/0.55 (step @p54 :rule cong :premises (@p53 @p25) :args ((= @t2 @t21))) % 0.30/0.55 (step @p55 :rule symm :premises (@p54)) % 0.30/0.55 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 0.30/0.55 (step @p57 :rule refl :args (tptp.ts)) % 0.30/0.55 (step @p58 :rule ho_cong :premises (@p57 @p56)) % 0.30/0.55 (step @p59 :rule ho_cong :premises (@p58 @p52)) % 0.30/0.55 (step @p60 :rule trans :premises (@p59 @p48)) % 0.30/0.55 (step @p61 :rule ho_cong :premises (@p42 @p30)) % 0.30/0.55 (step @p62 :rule ho_cong :premises (@p61 @p29)) % 0.30/0.55 (step @p63 :rule cong :premises (@p62 @p32) :args ((= (_ (_ tptp.ts @t24) @t23) @t25))) % 0.30/0.55 (step @p64 :rule symm :premises (@p63)) % 0.30/0.55 (step @p65 :rule refl :args (@t6)) % 0.30/0.55 (step @p66 :rule eq_resolve :premises (@p65 @p64)) % 0.30/0.55 (step @p67 :rule refl :args (@t4)) % 0.30/0.55 (step @p68 :rule cong :premises (@p67 @p29) :args ((= @t4 @t23))) % 0.30/0.55 (step @p69 :rule symm :premises (@p68)) % 0.30/0.55 (step @p70 :rule eq_resolve :premises (@p67 @p69)) % 0.30/0.55 (step @p71 :rule refl :args (@t5)) % 0.30/0.55 (step @p72 :rule cong :premises (@p71 @p30) :args ((= @t5 @t24))) % 0.30/0.55 (step @p73 :rule symm :premises (@p72)) % 0.30/0.55 (step @p74 :rule eq_resolve :premises (@p71 @p73)) % 0.30/0.55 (step @p75 :rule ho_cong :premises (@p57 @p74)) % 0.30/0.55 (step @p76 :rule ho_cong :premises (@p75 @p70)) % 0.30/0.55 (step @p77 :rule trans :premises (@p76 @p66)) % 0.30/0.55 (step @p78 :rule refl :args (tptp.more)) % 0.30/0.55 (step @p79 :rule ho_cong :premises (@p78 @p77)) % 0.30/0.55 (step @p80 :rule ho_cong :premises (@p79 @p60)) % 0.30/0.55 (step @p81 :rule trans :premises (@p80 @p41)) % 0.30/0.55 (step @p82 :rule eq_resolve :premises (@p1 @p81)) % 0.30/0.55 (step @p83 :rule refl :args ((tptp.less @t3 @t6))) % 0.30/0.55 (step @p84 :rule cong :premises (@p27 @p32) :args (@t27)) % 0.30/0.55 (step @p85 :rule trans :premises (@p84 @p83)) % 0.30/0.55 (step @p86 :rule refl :args (tptp.less)) % 0.30/0.55 (step @p87 :rule ho_cong :premises (@p86 @p27)) % 0.30/0.55 (step @p88 :rule ho_cong :premises (@p87 @p32)) % 0.30/0.55 (step @p89 :rule cong :premises (@p88 @p85) :args ((= (_ (_ tptp.less @t22) @t25) @t27))) % 0.30/0.55 (step @p90 :rule symm :premises (@p89)) % 0.30/0.55 (step @p91 :rule refl :args (@t14)) % 0.30/0.55 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 0.30/0.55 (step @p93 :rule refl :args (tptp.less)) % 0.30/0.55 (step @p94 :rule ho_cong :premises (@p93 @p60)) % 0.30/0.55 (step @p95 :rule ho_cong :premises (@p94 @p77)) % 0.30/0.55 (step @p96 :rule trans :premises (@p95 @p92)) % 0.30/0.55 (step @p97 :rule cong :premises (@p96) :args (@t15)) % 0.30/0.55 (step @p98 :rule eq_resolve :premises (@p3 @p97)) % 0.30/0.55 (step @p99 :rule cnf_or_pos :args (@t29)) % 0.30/0.55 (step @p100 :rule reordering :premises (@p99) :args ((or @t27 @t28 @t30))) % 0.30/0.55 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p82) :args (@t30 @t31 (@list @t27 @t26))) % 0.30/0.55 (assume-push @p108 @t32) % 0.30/0.55 (step @p103 :rule instantiate :premises (@p21) :args ((@list @t25 @t22))) % 0.30/0.55 (step-pop @p109 :rule scope :premises (@p103)) % 0.30/0.55 (step @p104 :rule process_scope :premises (@p109) :args (@t29)) % 0.30/0.55 (step @p106 :rule implies_elim :premises (@p104)) % 0.30/0.55 (step @p107 false :rule chain_m_resolution :premises (@p106 @p101 @p21) :args (false @t31 (@list @t29 @t32))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------