%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM729^1 : 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 : n026.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 0.28s 0.55s % Output : Proof 0.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM729^1 : TPTP v9.2.1. Released v3.7.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n026.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 12:05:55 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.48 %----Proving TH0 % 0.28/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.28/0.55 % SZS status Theorem % 0.28/0.55 % SZS output start Proof % 0.28/0.55 ( % 0.28/0.55 (declare-sort tptp.nat 0) % 0.28/0.55 (declare-sort tptp.frac 0) % 0.28/0.55 (declare-const tptp.n tptp.nat) % 0.28/0.55 (declare-const tptp.x1 tptp.nat) % 0.28/0.55 (declare-const tptp.x2 tptp.nat) % 0.28/0.55 (declare-const tptp.fr (-> tptp.nat tptp.nat tptp.frac)) % 0.28/0.55 (declare-const tptp.ts (-> tptp.nat tptp.nat tptp.nat)) % 0.28/0.55 (declare-const tptp.eq (-> tptp.frac tptp.frac Bool)) % 0.28/0.55 (define @t1 () (@var "Xx" tptp.frac)) % 0.28/0.55 (define @t2 () (@var "Xy" tptp.frac)) % 0.28/0.55 (define @t3 () (_ (_ tptp.eq @t2) @t1)) % 0.28/0.55 (define @t4 () (_ (_ tptp.eq @t1) @t2)) % 0.28/0.55 (define @t5 () (@list @t1 @t2)) % 0.28/0.55 (define @t6 () (forall @t5 (=> @t4 @t3))) % 0.28/0.55 (define @t7 () (@var "Xn" tptp.nat)) % 0.28/0.55 (define @t8 () (@var "Xx2" tptp.nat)) % 0.28/0.55 (define @t9 () (_ (_ tptp.ts @t8) @t7)) % 0.28/0.55 (define @t10 () (@var "Xx1" tptp.nat)) % 0.28/0.55 (define @t11 () (_ (_ tptp.ts @t10) @t7)) % 0.28/0.55 (define @t12 () (_ (_ tptp.fr @t11) @t9)) % 0.28/0.55 (define @t13 () (_ (_ tptp.fr @t10) @t8)) % 0.28/0.55 (define @t14 () (_ (_ tptp.eq @t13) @t12)) % 0.28/0.55 (define @t15 () (forall (@list @t10 @t8 @t7) @t14)) % 0.28/0.55 (define @t16 () (_ (_ tptp.fr tptp.x1) tptp.x2)) % 0.28/0.55 (define @t17 () (_ (_ tptp.ts tptp.x2) tptp.n)) % 0.28/0.55 (define @t18 () (_ (_ tptp.ts tptp.x1) tptp.n)) % 0.28/0.55 (define @t19 () (_ (_ tptp.fr @t18) @t17)) % 0.28/0.55 (define @t20 () (_ (_ tptp.eq @t19) @t16)) % 0.28/0.55 (define @t21 () (not @t20)) % 0.28/0.55 (define @t22 () (tptp.fr tptp.x1 tptp.x2)) % 0.28/0.55 (define @t23 () (tptp.ts tptp.x2 tptp.n)) % 0.28/0.55 (define @t24 () (tptp.ts tptp.x1 tptp.n)) % 0.28/0.55 (define @t25 () (tptp.fr @t24 @t23)) % 0.28/0.55 (define @t26 () (tptp.eq @t25 @t22)) % 0.28/0.55 (define @t27 () (tptp.eq @t2 @t1)) % 0.28/0.55 (define @t28 () (tptp.eq @t1 @t2)) % 0.28/0.55 (define @t29 () (not @t4)) % 0.28/0.55 (define @t30 () (or @t29 @t3)) % 0.28/0.55 (define @t31 () (tptp.ts @t8 @t7)) % 0.28/0.55 (define @t32 () (tptp.ts @t10 @t7)) % 0.28/0.55 (define @t33 () (tptp.fr @t32 @t31)) % 0.28/0.55 (define @t34 () (tptp.fr @t10 @t8)) % 0.28/0.55 (define @t35 () (tptp.eq @t34 @t33)) % 0.28/0.55 (define @t36 () (tptp.eq @t22 @t25)) % 0.28/0.55 (define @t37 () (not @t36)) % 0.28/0.55 (define @t38 () (or @t37 @t26)) % 0.28/0.55 (assume @p1 @t6) % 0.28/0.55 (assume @p2 @t15) % 0.28/0.55 (assume @p3 @t21) % 0.28/0.55 (assume @p4 true) % 0.28/0.55 (step @p5 :rule refl :args ((tptp.eq @t19 @t16))) % 0.28/0.55 (step @p6 :rule refl :args (@t22)) % 0.28/0.55 (step @p7 :rule refl :args ((tptp.fr @t18 @t17))) % 0.28/0.55 (step @p8 :rule refl :args (@t23)) % 0.28/0.55 (step @p9 :rule refl :args (@t24)) % 0.28/0.55 (step @p10 :rule cong :premises (@p9 @p8) :args (@t25)) % 0.28/0.55 (step @p11 :rule trans :premises (@p10 @p7)) % 0.28/0.55 (step @p12 :rule cong :premises (@p11 @p6) :args (@t26)) % 0.28/0.55 (step @p13 :rule trans :premises (@p12 @p5)) % 0.28/0.55 (step @p14 :rule refl :args (tptp.eq)) % 0.28/0.55 (step @p15 :rule ho_cong :premises (@p14 @p11)) % 0.28/0.55 (step @p16 :rule ho_cong :premises (@p15 @p6)) % 0.28/0.55 (step @p17 :rule cong :premises (@p16 @p13) :args ((= (_ (_ tptp.eq @t25) @t22) @t26))) % 0.28/0.55 (step @p18 :rule symm :premises (@p17)) % 0.28/0.55 (step @p19 :rule refl :args (@t20)) % 0.28/0.55 (step @p20 :rule eq_resolve :premises (@p19 @p18)) % 0.28/0.55 (step @p21 :rule refl :args (@t16)) % 0.28/0.55 (step @p22 :rule cong :premises (@p21 @p6) :args ((= @t16 @t22))) % 0.28/0.55 (step @p23 :rule symm :premises (@p22)) % 0.28/0.55 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.28/0.55 (step @p25 :rule refl :args (tptp.fr)) % 0.28/0.55 (step @p26 :rule ho_cong :premises (@p25 @p9)) % 0.28/0.55 (step @p27 :rule ho_cong :premises (@p26 @p8)) % 0.28/0.55 (step @p28 :rule cong :premises (@p27 @p11) :args ((= (_ (_ tptp.fr @t24) @t23) @t25))) % 0.28/0.55 (step @p29 :rule symm :premises (@p28)) % 0.28/0.55 (step @p30 :rule refl :args (@t19)) % 0.28/0.55 (step @p31 :rule eq_resolve :premises (@p30 @p29)) % 0.28/0.55 (step @p32 :rule refl :args (@t17)) % 0.28/0.55 (step @p33 :rule cong :premises (@p32 @p8) :args ((= @t17 @t23))) % 0.28/0.55 (step @p34 :rule symm :premises (@p33)) % 0.28/0.55 (step @p35 :rule eq_resolve :premises (@p32 @p34)) % 0.28/0.55 (step @p36 :rule refl :args (@t18)) % 0.28/0.55 (step @p37 :rule cong :premises (@p36 @p9) :args ((= @t18 @t24))) % 0.28/0.55 (step @p38 :rule symm :premises (@p37)) % 0.28/0.55 (step @p39 :rule eq_resolve :premises (@p36 @p38)) % 0.28/0.55 (step @p40 :rule refl :args (tptp.fr)) % 0.28/0.55 (step @p41 :rule ho_cong :premises (@p40 @p39)) % 0.28/0.55 (step @p42 :rule ho_cong :premises (@p41 @p35)) % 0.28/0.55 (step @p43 :rule trans :premises (@p42 @p31)) % 0.28/0.55 (step @p44 :rule refl :args (tptp.eq)) % 0.28/0.55 (step @p45 :rule ho_cong :premises (@p44 @p43)) % 0.28/0.55 (step @p46 :rule ho_cong :premises (@p45 @p24)) % 0.28/0.55 (step @p47 :rule trans :premises (@p46 @p20)) % 0.28/0.55 (step @p48 :rule cong :premises (@p47) :args (@t21)) % 0.28/0.55 (step @p49 :rule eq_resolve :premises (@p3 @p48)) % 0.28/0.55 (step @p50 :rule refl :args (@t27)) % 0.28/0.55 (step @p51 :rule refl :args (@t3)) % 0.28/0.55 (step @p52 :rule cong :premises (@p51 @p50) :args ((= @t3 @t27))) % 0.28/0.55 (step @p53 :rule symm :premises (@p52)) % 0.28/0.55 (step @p54 :rule eq_resolve :premises (@p51 @p53)) % 0.28/0.55 (step @p55 :rule refl :args (@t28)) % 0.28/0.55 (step @p56 :rule refl :args (@t4)) % 0.28/0.55 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t4 @t28))) % 0.28/0.55 (step @p58 :rule symm :premises (@p57)) % 0.28/0.55 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.28/0.55 (step @p60 :rule cong :premises (@p59) :args (@t29)) % 0.28/0.55 (step @p61 :rule nary_cong :premises (@p60 @p54) :args (@t30)) % 0.28/0.55 (step @p62 :rule cong :premises (@p61) :args ((forall @t5 @t30))) % 0.28/0.55 (step @p63 :rule bool-impl-elim :args (@t4 @t3)) % 0.28/0.55 (step @p64 :rule cong :premises (@p63) :args (@t6)) % 0.28/0.55 (step @p65 :rule trans :premises (@p64 @p62)) % 0.28/0.55 (step @p66 :rule eq_resolve :premises (@p1 @p65)) % 0.28/0.55 (step @p67 :rule instantiate :premises (@p66) :args ((@list @t22 @t25))) % 0.28/0.55 (step @p68 :rule refl :args ((tptp.eq @t13 @t12))) % 0.28/0.55 (step @p69 :rule refl :args ((tptp.fr @t11 @t9))) % 0.28/0.55 (step @p70 :rule refl :args (@t31)) % 0.28/0.55 (step @p71 :rule refl :args (@t32)) % 0.28/0.55 (step @p72 :rule cong :premises (@p71 @p70) :args (@t33)) % 0.28/0.55 (step @p73 :rule trans :premises (@p72 @p69)) % 0.28/0.55 (step @p74 :rule refl :args (@t34)) % 0.28/0.55 (step @p75 :rule cong :premises (@p74 @p73) :args (@t35)) % 0.28/0.55 (step @p76 :rule trans :premises (@p75 @p68)) % 0.28/0.55 (step @p77 :rule ho_cong :premises (@p14 @p74)) % 0.28/0.55 (step @p78 :rule ho_cong :premises (@p77 @p73)) % 0.28/0.55 (step @p79 :rule cong :premises (@p78 @p76) :args ((= (_ (_ tptp.eq @t34) @t33) @t35))) % 0.28/0.55 (step @p80 :rule symm :premises (@p79)) % 0.28/0.55 (step @p81 :rule refl :args (@t14)) % 0.28/0.55 (step @p82 :rule eq_resolve :premises (@p81 @p80)) % 0.28/0.55 (step @p83 :rule ho_cong :premises (@p25 @p71)) % 0.28/0.55 (step @p84 :rule ho_cong :premises (@p83 @p70)) % 0.28/0.55 (step @p85 :rule cong :premises (@p84 @p73) :args ((= (_ (_ tptp.fr @t32) @t31) @t33))) % 0.28/0.55 (step @p86 :rule symm :premises (@p85)) % 0.28/0.55 (step @p87 :rule refl :args (@t12)) % 0.28/0.55 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.28/0.55 (step @p89 :rule refl :args (@t9)) % 0.28/0.55 (step @p90 :rule cong :premises (@p89 @p70) :args ((= @t9 @t31))) % 0.28/0.55 (step @p91 :rule symm :premises (@p90)) % 0.28/0.55 (step @p92 :rule eq_resolve :premises (@p89 @p91)) % 0.28/0.55 (step @p93 :rule refl :args (@t11)) % 0.28/0.55 (step @p94 :rule cong :premises (@p93 @p71) :args ((= @t11 @t32))) % 0.28/0.55 (step @p95 :rule symm :premises (@p94)) % 0.28/0.55 (step @p96 :rule eq_resolve :premises (@p93 @p95)) % 0.28/0.55 (step @p97 :rule ho_cong :premises (@p25 @p96)) % 0.28/0.55 (step @p98 :rule ho_cong :premises (@p97 @p92)) % 0.28/0.55 (step @p99 :rule trans :premises (@p98 @p88)) % 0.28/0.55 (step @p100 :rule refl :args (@t13)) % 0.28/0.55 (step @p101 :rule cong :premises (@p100 @p74) :args ((= @t13 @t34))) % 0.28/0.55 (step @p102 :rule symm :premises (@p101)) % 0.28/0.55 (step @p103 :rule eq_resolve :premises (@p100 @p102)) % 0.28/0.55 (step @p104 :rule ho_cong :premises (@p14 @p103)) % 0.28/0.55 (step @p105 :rule ho_cong :premises (@p104 @p99)) % 0.28/0.55 (step @p106 :rule trans :premises (@p105 @p82)) % 0.28/0.55 (step @p107 :rule cong :premises (@p106) :args (@t15)) % 0.28/0.55 (step @p108 :rule eq_resolve :premises (@p2 @p107)) % 0.28/0.55 (step @p109 :rule instantiate :premises (@p108) :args ((@list tptp.x1 tptp.x2 tptp.n))) % 0.28/0.55 (step @p110 :rule cnf_or_pos :args (@t38)) % 0.28/0.55 (step @p111 :rule reordering :premises (@p110) :args ((or @t26 @t37 (not @t38)))) % 0.28/0.55 (step @p112 false :rule chain_m_resolution :premises (@p111 @p109 @p67 @p49) :args (false (@list false false true) (@list @t36 @t38 @t26))) % 0.28/0.55 ) % 0.28/0.55 % SZS output end Proof % 0.28/0.55 % cvc5 exiting %------------------------------------------------------------------------------