%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM771^1 : 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 : n016.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 08:40:38 AM UTC 2026 % Result : Theorem 0.27s 0.55s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM771^1 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n016.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 12:18:39 EDT 2026 % 0.15/0.34 % 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-sort tptp.frac 0) % 0.27/0.55 (declare-const tptp.fr (-> tptp.nat tptp.nat tptp.frac)) % 0.27/0.55 (declare-const tptp.num (-> tptp.frac tptp.nat)) % 0.27/0.55 (declare-const tptp.y tptp.frac) % 0.27/0.55 (declare-const tptp.den (-> tptp.frac tptp.nat)) % 0.27/0.55 (declare-const tptp.x tptp.frac) % 0.27/0.55 (declare-const tptp.ts (-> tptp.nat tptp.nat tptp.nat)) % 0.27/0.55 (declare-const tptp.eq (-> tptp.frac tptp.frac Bool)) % 0.27/0.55 (define @t1 () (@var "Xx" tptp.frac)) % 0.27/0.55 (define @t2 () (_ (_ tptp.eq @t1) @t1)) % 0.27/0.55 (define @t3 () (@list @t1)) % 0.27/0.55 (define @t4 () (forall @t3 @t2)) % 0.27/0.55 (define @t5 () (@var "Xx" tptp.nat)) % 0.27/0.55 (define @t6 () (@var "Xy" tptp.nat)) % 0.27/0.55 (define @t7 () (_ (_ tptp.ts @t6) @t5)) % 0.27/0.55 (define @t8 () (_ (_ tptp.ts @t5) @t6)) % 0.27/0.55 (define @t9 () (= @t8 @t7)) % 0.27/0.55 (define @t10 () (forall (@list @t5 @t6) @t9)) % 0.27/0.55 (define @t11 () (_ tptp.den tptp.x)) % 0.27/0.55 (define @t12 () (_ tptp.den tptp.y)) % 0.27/0.55 (define @t13 () (_ (_ tptp.ts @t12) @t11)) % 0.27/0.55 (define @t14 () (_ tptp.num tptp.x)) % 0.27/0.55 (define @t15 () (_ tptp.num tptp.y)) % 0.27/0.55 (define @t16 () (_ (_ tptp.ts @t15) @t14)) % 0.27/0.55 (define @t17 () (_ (_ tptp.fr @t16) @t13)) % 0.27/0.55 (define @t18 () (_ (_ tptp.ts @t11) @t12)) % 0.27/0.55 (define @t19 () (_ (_ tptp.ts @t14) @t15)) % 0.27/0.55 (define @t20 () (_ (_ tptp.fr @t19) @t18)) % 0.27/0.55 (define @t21 () (_ (_ tptp.eq @t20) @t17)) % 0.27/0.55 (define @t22 () (not @t21)) % 0.27/0.55 (define @t23 () (tptp.eq @t1 @t1)) % 0.27/0.55 (define @t24 () (tptp.den tptp.x)) % 0.27/0.55 (define @t25 () (tptp.den tptp.y)) % 0.27/0.55 (define @t26 () (tptp.ts @t25 @t24)) % 0.27/0.55 (define @t27 () (tptp.num tptp.x)) % 0.27/0.55 (define @t28 () (tptp.num tptp.y)) % 0.27/0.55 (define @t29 () (tptp.ts @t28 @t27)) % 0.27/0.55 (define @t30 () (tptp.fr @t29 @t26)) % 0.27/0.55 (define @t31 () (tptp.ts @t24 @t25)) % 0.27/0.55 (define @t32 () (tptp.ts @t27 @t28)) % 0.27/0.55 (define @t33 () (tptp.fr @t32 @t31)) % 0.27/0.55 (define @t34 () (tptp.eq @t33 @t30)) % 0.27/0.55 (define @t35 () (tptp.ts @t6 @t5)) % 0.27/0.55 (define @t36 () (tptp.ts @t5 @t6)) % 0.27/0.55 (define @t37 () (tptp.eq @t33 @t33)) % 0.27/0.55 (define @t38 () (forall @t3 @t23)) % 0.27/0.55 (assume @p1 @t4) % 0.27/0.55 (assume @p2 @t10) % 0.27/0.55 (assume @p3 @t22) % 0.27/0.55 (assume @p4 true) % 0.27/0.55 (step @p5 :rule refl :args (@t23)) % 0.27/0.55 (step @p6 :rule refl :args (@t2)) % 0.27/0.55 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t2 @t23))) % 0.27/0.55 (step @p8 :rule symm :premises (@p7)) % 0.27/0.55 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.27/0.55 (step @p10 :rule cong :premises (@p9) :args (@t4)) % 0.27/0.55 (step @p11 :rule eq_resolve :premises (@p1 @p10)) % 0.27/0.55 (step @p12 :rule refl :args ((tptp.eq @t20 @t17))) % 0.27/0.55 (step @p13 :rule refl :args ((tptp.fr @t16 @t13))) % 0.27/0.55 (step @p14 :rule refl :args ((tptp.ts @t12 @t11))) % 0.27/0.55 (step @p15 :rule refl :args (@t24)) % 0.27/0.55 (step @p16 :rule refl :args (@t25)) % 0.27/0.55 (step @p17 :rule cong :premises (@p16 @p15) :args (@t26)) % 0.27/0.55 (step @p18 :rule trans :premises (@p17 @p14)) % 0.27/0.55 (step @p19 :rule refl :args ((tptp.ts @t15 @t14))) % 0.27/0.55 (step @p20 :rule refl :args (@t27)) % 0.27/0.55 (step @p21 :rule refl :args (@t28)) % 0.27/0.55 (step @p22 :rule cong :premises (@p21 @p20) :args (@t29)) % 0.27/0.55 (step @p23 :rule trans :premises (@p22 @p19)) % 0.27/0.55 (step @p24 :rule cong :premises (@p23 @p18) :args (@t30)) % 0.27/0.55 (step @p25 :rule trans :premises (@p24 @p13)) % 0.27/0.55 (step @p26 :rule refl :args ((tptp.fr @t19 @t18))) % 0.27/0.55 (step @p27 :rule refl :args ((tptp.ts @t11 @t12))) % 0.27/0.55 (step @p28 :rule cong :premises (@p15 @p16) :args (@t31)) % 0.27/0.55 (step @p29 :rule trans :premises (@p28 @p27)) % 0.27/0.55 (step @p30 :rule refl :args ((tptp.ts @t14 @t15))) % 0.27/0.55 (step @p31 :rule cong :premises (@p20 @p21) :args (@t32)) % 0.27/0.55 (step @p32 :rule trans :premises (@p31 @p30)) % 0.27/0.55 (step @p33 :rule cong :premises (@p32 @p29) :args (@t33)) % 0.27/0.55 (step @p34 :rule trans :premises (@p33 @p26)) % 0.27/0.55 (step @p35 :rule cong :premises (@p34 @p25) :args (@t34)) % 0.27/0.55 (step @p36 :rule trans :premises (@p35 @p12)) % 0.27/0.55 (step @p37 :rule refl :args (tptp.eq)) % 0.27/0.55 (step @p38 :rule ho_cong :premises (@p37 @p34)) % 0.27/0.55 (step @p39 :rule ho_cong :premises (@p38 @p25)) % 0.27/0.55 (step @p40 :rule cong :premises (@p39 @p36) :args ((= (_ (_ tptp.eq @t33) @t30) @t34))) % 0.27/0.55 (step @p41 :rule symm :premises (@p40)) % 0.27/0.55 (step @p42 :rule refl :args (@t21)) % 0.27/0.55 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 0.27/0.55 (step @p44 :rule refl :args (tptp.fr)) % 0.27/0.55 (step @p45 :rule ho_cong :premises (@p44 @p23)) % 0.27/0.55 (step @p46 :rule ho_cong :premises (@p45 @p18)) % 0.27/0.55 (step @p47 :rule cong :premises (@p46 @p25) :args ((= (_ (_ tptp.fr @t29) @t26) @t30))) % 0.27/0.55 (step @p48 :rule symm :premises (@p47)) % 0.27/0.55 (step @p49 :rule refl :args (@t17)) % 0.27/0.55 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 0.27/0.55 (step @p51 :rule refl :args (tptp.ts)) % 0.27/0.55 (step @p52 :rule ho_cong :premises (@p51 @p16)) % 0.27/0.55 (step @p53 :rule ho_cong :premises (@p52 @p15)) % 0.27/0.55 (step @p54 :rule cong :premises (@p53 @p18) :args ((= (_ (_ tptp.ts @t25) @t24) @t26))) % 0.27/0.55 (step @p55 :rule symm :premises (@p54)) % 0.27/0.55 (step @p56 :rule refl :args (@t13)) % 0.27/0.55 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 0.27/0.55 (step @p58 :rule refl :args (@t11)) % 0.27/0.55 (step @p59 :rule cong :premises (@p58 @p15) :args ((= @t11 @t24))) % 0.27/0.55 (step @p60 :rule symm :premises (@p59)) % 0.27/0.55 (step @p61 :rule eq_resolve :premises (@p58 @p60)) % 0.27/0.55 (step @p62 :rule refl :args (@t12)) % 0.27/0.55 (step @p63 :rule cong :premises (@p62 @p16) :args ((= @t12 @t25))) % 0.27/0.55 (step @p64 :rule symm :premises (@p63)) % 0.27/0.55 (step @p65 :rule eq_resolve :premises (@p62 @p64)) % 0.27/0.55 (step @p66 :rule refl :args (tptp.ts)) % 0.27/0.55 (step @p67 :rule ho_cong :premises (@p66 @p65)) % 0.27/0.55 (step @p68 :rule ho_cong :premises (@p67 @p61)) % 0.27/0.55 (step @p69 :rule trans :premises (@p68 @p57)) % 0.27/0.55 (step @p70 :rule ho_cong :premises (@p51 @p21)) % 0.27/0.55 (step @p71 :rule ho_cong :premises (@p70 @p20)) % 0.27/0.55 (step @p72 :rule cong :premises (@p71 @p23) :args ((= (_ (_ tptp.ts @t28) @t27) @t29))) % 0.27/0.55 (step @p73 :rule symm :premises (@p72)) % 0.27/0.55 (step @p74 :rule refl :args (@t16)) % 0.27/0.55 (step @p75 :rule eq_resolve :premises (@p74 @p73)) % 0.27/0.55 (step @p76 :rule refl :args (@t14)) % 0.27/0.55 (step @p77 :rule cong :premises (@p76 @p20) :args ((= @t14 @t27))) % 0.27/0.55 (step @p78 :rule symm :premises (@p77)) % 0.27/0.55 (step @p79 :rule eq_resolve :premises (@p76 @p78)) % 0.27/0.55 (step @p80 :rule refl :args (@t15)) % 0.27/0.55 (step @p81 :rule cong :premises (@p80 @p21) :args ((= @t15 @t28))) % 0.27/0.55 (step @p82 :rule symm :premises (@p81)) % 0.27/0.55 (step @p83 :rule eq_resolve :premises (@p80 @p82)) % 0.27/0.55 (step @p84 :rule ho_cong :premises (@p66 @p83)) % 0.27/0.55 (step @p85 :rule ho_cong :premises (@p84 @p79)) % 0.27/0.55 (step @p86 :rule trans :premises (@p85 @p75)) % 0.27/0.55 (step @p87 :rule refl :args (tptp.fr)) % 0.27/0.55 (step @p88 :rule ho_cong :premises (@p87 @p86)) % 0.27/0.55 (step @p89 :rule ho_cong :premises (@p88 @p69)) % 0.27/0.55 (step @p90 :rule trans :premises (@p89 @p50)) % 0.27/0.55 (step @p91 :rule ho_cong :premises (@p44 @p32)) % 0.27/0.55 (step @p92 :rule ho_cong :premises (@p91 @p29)) % 0.27/0.55 (step @p93 :rule cong :premises (@p92 @p34) :args ((= (_ (_ tptp.fr @t32) @t31) @t33))) % 0.27/0.55 (step @p94 :rule symm :premises (@p93)) % 0.27/0.55 (step @p95 :rule refl :args (@t20)) % 0.27/0.55 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 0.27/0.55 (step @p97 :rule ho_cong :premises (@p51 @p15)) % 0.27/0.55 (step @p98 :rule ho_cong :premises (@p97 @p16)) % 0.27/0.55 (step @p99 :rule cong :premises (@p98 @p29) :args ((= (_ (_ tptp.ts @t24) @t25) @t31))) % 0.27/0.55 (step @p100 :rule symm :premises (@p99)) % 0.27/0.55 (step @p101 :rule refl :args (@t18)) % 0.27/0.55 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 0.27/0.55 (step @p103 :rule ho_cong :premises (@p66 @p61)) % 0.27/0.55 (step @p104 :rule ho_cong :premises (@p103 @p65)) % 0.27/0.55 (step @p105 :rule trans :premises (@p104 @p102)) % 0.27/0.55 (step @p106 :rule ho_cong :premises (@p51 @p20)) % 0.27/0.55 (step @p107 :rule ho_cong :premises (@p106 @p21)) % 0.27/0.55 (step @p108 :rule cong :premises (@p107 @p32) :args ((= (_ (_ tptp.ts @t27) @t28) @t32))) % 0.27/0.55 (step @p109 :rule symm :premises (@p108)) % 0.27/0.55 (step @p110 :rule refl :args (@t19)) % 0.27/0.55 (step @p111 :rule eq_resolve :premises (@p110 @p109)) % 0.27/0.55 (step @p112 :rule ho_cong :premises (@p66 @p79)) % 0.27/0.55 (step @p113 :rule ho_cong :premises (@p112 @p83)) % 0.27/0.55 (step @p114 :rule trans :premises (@p113 @p111)) % 0.27/0.55 (step @p115 :rule ho_cong :premises (@p87 @p114)) % 0.27/0.55 (step @p116 :rule ho_cong :premises (@p115 @p105)) % 0.27/0.55 (step @p117 :rule trans :premises (@p116 @p96)) % 0.27/0.55 (step @p118 :rule refl :args (tptp.eq)) % 0.27/0.55 (step @p119 :rule ho_cong :premises (@p118 @p117)) % 0.27/0.55 (step @p120 :rule ho_cong :premises (@p119 @p90)) % 0.27/0.55 (step @p121 :rule trans :premises (@p120 @p43)) % 0.27/0.55 (step @p122 :rule cong :premises (@p121) :args (@t22)) % 0.27/0.55 (step @p123 :rule eq_resolve :premises (@p3 @p122)) % 0.27/0.55 (step @p124 :rule false_intro :premises (@p123)) % 0.27/0.55 (step @p125 :rule refl :args (@t35)) % 0.27/0.55 (step @p126 :rule refl :args (@t7)) % 0.27/0.55 (step @p127 :rule cong :premises (@p126 @p125) :args ((= @t7 @t35))) % 0.27/0.55 (step @p128 :rule symm :premises (@p127)) % 0.27/0.55 (step @p129 :rule eq_resolve :premises (@p126 @p128)) % 0.36/0.56 (step @p130 :rule refl :args (@t36)) % 0.36/0.56 (step @p131 :rule refl :args (@t8)) % 0.36/0.56 (step @p132 :rule cong :premises (@p131 @p130) :args ((= @t8 @t36))) % 0.36/0.56 (step @p133 :rule symm :premises (@p132)) % 0.36/0.56 (step @p134 :rule eq_resolve :premises (@p131 @p133)) % 0.36/0.56 (step @p135 :rule cong :premises (@p134 @p129) :args (@t9)) % 0.36/0.56 (step @p136 :rule cong :premises (@p135) :args (@t10)) % 0.36/0.56 (step @p137 :rule eq_resolve :premises (@p2 @p136)) % 0.36/0.56 (step @p138 :rule instantiate :premises (@p137) :args ((@list @t25 @t24))) % 0.36/0.56 (step @p139 :rule symm :premises (@p138)) % 0.36/0.56 (step @p140 :rule instantiate :premises (@p137) :args ((@list @t28 @t27))) % 0.36/0.56 (step @p141 :rule symm :premises (@p140)) % 0.36/0.56 (step @p142 :rule cong :premises (@p141 @p139) :args (@t33)) % 0.36/0.56 (step @p143 :rule refl :args (@t33)) % 0.36/0.56 (step @p144 :rule cong :premises (@p143 @p142) :args (@t37)) % 0.36/0.56 (step @p145 :rule trans :premises (@p144 @p124)) % 0.36/0.56 (step @p146 :rule false_elim :premises (@p145)) % 0.36/0.56 (assume-push @p153 @t38) % 0.36/0.56 (step @p148 :rule instantiate :premises (@p11) :args ((@list @t33))) % 0.36/0.56 (step-pop @p154 :rule scope :premises (@p148)) % 0.36/0.56 (step @p149 :rule process_scope :premises (@p154) :args (@t37)) % 0.36/0.56 (step @p151 :rule implies_elim :premises (@p149)) % 0.36/0.56 (step @p152 false :rule chain_m_resolution :premises (@p151 @p146 @p11) :args (false (@list true false) (@list @t37 @t38))) % 0.36/0.56 ) % 0.36/0.56 % SZS output end Proof % 0.36/0.56 % cvc5 exiting %------------------------------------------------------------------------------