%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM709^1 : 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 : n029.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 08:40:28 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 : NUM709^1 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n029.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 12:02:17 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-const tptp.x tptp.nat) % 0.30/0.55 (declare-const tptp.y tptp.nat) % 0.30/0.55 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 0.30/0.55 (declare-const tptp.pl (-> tptp.nat tptp.nat tptp.nat)) % 0.30/0.55 (declare-const tptp.ts (-> tptp.nat tptp.nat tptp.nat)) % 0.30/0.55 (define @t1 () (@var "Xy" tptp.nat)) % 0.30/0.55 (define @t2 () (@var "Xx" tptp.nat)) % 0.30/0.55 (define @t3 () (_ (_ tptp.ts @t2) @t1)) % 0.30/0.55 (define @t4 () (_ (_ tptp.pl @t3) @t1)) % 0.30/0.55 (define @t5 () (_ tptp.suc @t2)) % 0.30/0.55 (define @t6 () (_ (_ tptp.ts @t5) @t1)) % 0.30/0.55 (define @t7 () (= @t6 @t4)) % 0.30/0.55 (define @t8 () (@list @t2 @t1)) % 0.30/0.55 (define @t9 () (forall @t8 @t7)) % 0.30/0.55 (define @t10 () (_ tptp.suc tptp.x)) % 0.30/0.55 (define @t11 () (_ (_ tptp.ts @t10) tptp.y)) % 0.30/0.55 (define @t12 () (_ (_ tptp.ts tptp.x) tptp.y)) % 0.30/0.55 (define @t13 () (_ (_ tptp.pl @t12) tptp.y)) % 0.30/0.55 (define @t14 () (= @t13 @t11)) % 0.30/0.55 (define @t15 () (not @t14)) % 0.30/0.55 (define @t16 () (tptp.ts @t2 @t1)) % 0.30/0.55 (define @t17 () (tptp.pl @t16 @t1)) % 0.30/0.55 (define @t18 () (tptp.suc @t2)) % 0.30/0.55 (define @t19 () (tptp.ts @t18 @t1)) % 0.30/0.55 (define @t20 () (tptp.ts tptp.x tptp.y)) % 0.30/0.55 (define @t21 () (tptp.pl @t20 tptp.y)) % 0.30/0.55 (define @t22 () (tptp.suc tptp.x)) % 0.30/0.55 (define @t23 () (tptp.ts @t22 tptp.y)) % 0.30/0.55 (define @t24 () (forall @t8 (= @t19 @t17))) % 0.30/0.55 (define @t25 () (= @t23 @t21)) % 0.30/0.55 (assume @p1 @t9) % 0.30/0.55 (assume @p2 @t15) % 0.30/0.55 (assume @p3 true) % 0.30/0.55 (step @p4 :rule refl :args ((tptp.pl @t3 @t1))) % 0.30/0.55 (step @p5 :rule refl :args (@t1)) % 0.30/0.55 (step @p6 :rule refl :args (@t16)) % 0.30/0.55 (step @p7 :rule cong :premises (@p6 @p5) :args (@t17)) % 0.30/0.55 (step @p8 :rule trans :premises (@p7 @p4)) % 0.30/0.55 (step @p9 :rule refl :args (tptp.pl)) % 0.30/0.55 (step @p10 :rule ho_cong :premises (@p9 @p6)) % 0.30/0.55 (step @p11 :rule ho_cong :premises (@p10 @p5)) % 0.30/0.55 (step @p12 :rule cong :premises (@p11 @p8) :args ((= (_ (_ tptp.pl @t16) @t1) @t17))) % 0.30/0.55 (step @p13 :rule symm :premises (@p12)) % 0.30/0.55 (step @p14 :rule refl :args (@t4)) % 0.30/0.55 (step @p15 :rule eq_resolve :premises (@p14 @p13)) % 0.30/0.55 (step @p16 :rule refl :args (@t3)) % 0.30/0.55 (step @p17 :rule cong :premises (@p16 @p6) :args ((= @t3 @t16))) % 0.30/0.55 (step @p18 :rule symm :premises (@p17)) % 0.30/0.55 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.30/0.55 (step @p20 :rule ho_cong :premises (@p9 @p19)) % 0.30/0.55 (step @p21 :rule ho_cong :premises (@p20 @p5)) % 0.30/0.55 (step @p22 :rule trans :premises (@p21 @p15)) % 0.30/0.55 (step @p23 :rule refl :args ((tptp.ts @t5 @t1))) % 0.30/0.55 (step @p24 :rule refl :args (@t18)) % 0.30/0.55 (step @p25 :rule cong :premises (@p24 @p5) :args (@t19)) % 0.30/0.55 (step @p26 :rule trans :premises (@p25 @p23)) % 0.30/0.55 (step @p27 :rule refl :args (tptp.ts)) % 0.30/0.55 (step @p28 :rule ho_cong :premises (@p27 @p24)) % 0.30/0.55 (step @p29 :rule ho_cong :premises (@p28 @p5)) % 0.30/0.55 (step @p30 :rule cong :premises (@p29 @p26) :args ((= (_ (_ tptp.ts @t18) @t1) @t19))) % 0.30/0.55 (step @p31 :rule symm :premises (@p30)) % 0.30/0.55 (step @p32 :rule refl :args (@t6)) % 0.30/0.55 (step @p33 :rule eq_resolve :premises (@p32 @p31)) % 0.30/0.55 (step @p34 :rule refl :args (@t5)) % 0.30/0.55 (step @p35 :rule cong :premises (@p34 @p24) :args ((= @t5 @t18))) % 0.30/0.55 (step @p36 :rule symm :premises (@p35)) % 0.30/0.55 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.30/0.55 (step @p38 :rule ho_cong :premises (@p27 @p37)) % 0.30/0.55 (step @p39 :rule ho_cong :premises (@p38 @p5)) % 0.30/0.55 (step @p40 :rule trans :premises (@p39 @p33)) % 0.30/0.55 (step @p41 :rule cong :premises (@p40 @p22) :args (@t7)) % 0.30/0.55 (step @p42 :rule cong :premises (@p41) :args (@t9)) % 0.30/0.55 (step @p43 :rule eq_resolve :premises (@p1 @p42)) % 0.30/0.55 (step @p44 :rule eq-symm :args (@t21 @t23)) % 0.30/0.55 (step @p45 :rule refl :args ((tptp.ts @t10 tptp.y))) % 0.30/0.55 (step @p46 :rule refl :args (tptp.y)) % 0.30/0.55 (step @p47 :rule refl :args (@t22)) % 0.30/0.55 (step @p48 :rule cong :premises (@p47 @p46) :args (@t23)) % 0.30/0.55 (step @p49 :rule trans :premises (@p48 @p45)) % 0.30/0.55 (step @p50 :rule ho_cong :premises (@p27 @p47)) % 0.30/0.55 (step @p51 :rule ho_cong :premises (@p50 @p46)) % 0.30/0.55 (step @p52 :rule cong :premises (@p51 @p49) :args ((= (_ (_ tptp.ts @t22) tptp.y) @t23))) % 0.30/0.55 (step @p53 :rule symm :premises (@p52)) % 0.30/0.55 (step @p54 :rule refl :args (@t11)) % 0.30/0.55 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 0.30/0.55 (step @p56 :rule refl :args (tptp.y)) % 0.30/0.55 (step @p57 :rule refl :args (@t10)) % 0.30/0.55 (step @p58 :rule cong :premises (@p57 @p47) :args ((= @t10 @t22))) % 0.30/0.55 (step @p59 :rule symm :premises (@p58)) % 0.30/0.55 (step @p60 :rule eq_resolve :premises (@p57 @p59)) % 0.30/0.55 (step @p61 :rule refl :args (tptp.ts)) % 0.30/0.55 (step @p62 :rule ho_cong :premises (@p61 @p60)) % 0.30/0.55 (step @p63 :rule ho_cong :premises (@p62 @p56)) % 0.30/0.55 (step @p64 :rule trans :premises (@p63 @p55)) % 0.30/0.55 (step @p65 :rule refl :args ((tptp.pl @t12 tptp.y))) % 0.30/0.55 (step @p66 :rule refl :args (@t20)) % 0.30/0.55 (step @p67 :rule cong :premises (@p66 @p46) :args (@t21)) % 0.30/0.55 (step @p68 :rule trans :premises (@p67 @p65)) % 0.30/0.55 (step @p69 :rule ho_cong :premises (@p9 @p66)) % 0.30/0.55 (step @p70 :rule ho_cong :premises (@p69 @p46)) % 0.30/0.55 (step @p71 :rule cong :premises (@p70 @p68) :args ((= (_ (_ tptp.pl @t20) tptp.y) @t21))) % 0.30/0.55 (step @p72 :rule symm :premises (@p71)) % 0.30/0.55 (step @p73 :rule refl :args (@t13)) % 0.30/0.55 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 0.30/0.55 (step @p75 :rule refl :args (@t12)) % 0.30/0.55 (step @p76 :rule cong :premises (@p75 @p66) :args ((= @t12 @t20))) % 0.30/0.55 (step @p77 :rule symm :premises (@p76)) % 0.30/0.55 (step @p78 :rule eq_resolve :premises (@p75 @p77)) % 0.30/0.55 (step @p79 :rule refl :args (tptp.pl)) % 0.30/0.55 (step @p80 :rule ho_cong :premises (@p79 @p78)) % 0.30/0.55 (step @p81 :rule ho_cong :premises (@p80 @p56)) % 0.30/0.55 (step @p82 :rule trans :premises (@p81 @p74)) % 0.30/0.55 (step @p83 :rule cong :premises (@p82 @p64) :args (@t14)) % 0.30/0.55 (step @p84 :rule trans :premises (@p83 @p44)) % 0.30/0.55 (step @p85 :rule cong :premises (@p84) :args (@t15)) % 0.30/0.55 (step @p86 :rule eq_resolve :premises (@p2 @p85)) % 0.30/0.55 (assume-push @p94 @t24) % 0.30/0.55 (step @p88 :rule instantiate :premises (@p43) :args ((@list tptp.x tptp.y))) % 0.30/0.55 (step-pop @p95 :rule scope :premises (@p88)) % 0.30/0.55 (step @p89 :rule process_scope :premises (@p95) :args (@t25)) % 0.30/0.55 (step @p91 :rule implies_elim :premises (@p89)) % 0.30/0.55 (step @p92 :rule reordering :premises (@p91) :args ((or @t25 (not @t24)))) % 0.30/0.55 (step @p93 false :rule chain_m_resolution :premises (@p92 @p86 @p43) :args (false (@list true false) (@list @t25 @t24))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------