%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM703^1 : 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 : n012.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 0.16s 0.36s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUM703^1 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n012.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 11:59:48 EDT 2026 % 0.08/0.25 % CPUTime : % 0.08/0.32 %----Proving TH0 % 0.16/0.36 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.16/0.36 % SZS status Theorem % 0.16/0.36 % SZS output start Proof % 0.16/0.36 ( % 0.16/0.36 (declare-sort tptp.nat 0) % 0.16/0.36 (declare-const tptp.n_1 tptp.nat) % 0.16/0.36 (declare-const tptp.moreis (-> tptp.nat tptp.nat Bool)) % 0.16/0.36 (declare-const tptp.more (-> tptp.nat tptp.nat Bool)) % 0.16/0.36 (declare-const tptp.pl (-> tptp.nat tptp.nat tptp.nat)) % 0.16/0.36 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 0.16/0.36 (declare-const tptp.y tptp.nat) % 0.16/0.36 (declare-const tptp.x tptp.nat) % 0.16/0.36 (define @t1 () (_ tptp.suc tptp.y)) % 0.16/0.36 (define @t2 () (_ (_ tptp.more @t1) tptp.x)) % 0.16/0.36 (define @t3 () (@var "Xx" tptp.nat)) % 0.16/0.36 (define @t4 () (@var "Xy" tptp.nat)) % 0.16/0.36 (define @t5 () (_ (_ tptp.moreis @t4) @t3)) % 0.16/0.36 (define @t6 () (_ (_ tptp.pl @t4) tptp.n_1)) % 0.16/0.36 (define @t7 () (_ (_ tptp.more @t6) @t3)) % 0.16/0.36 (define @t8 () (@list @t3 @t4)) % 0.16/0.36 (define @t9 () (forall @t8 (=> @t7 @t5))) % 0.16/0.36 (define @t10 () (_ (_ tptp.pl @t3) tptp.n_1)) % 0.16/0.36 (define @t11 () (_ tptp.suc @t3)) % 0.16/0.36 (define @t12 () (= @t11 @t10)) % 0.16/0.36 (define @t13 () (forall (@list @t3) @t12)) % 0.16/0.36 (define @t14 () (_ (_ tptp.moreis tptp.y) tptp.x)) % 0.16/0.36 (define @t15 () (not @t14)) % 0.16/0.36 (define @t16 () (tptp.suc tptp.y)) % 0.16/0.36 (define @t17 () (tptp.more @t16 tptp.x)) % 0.16/0.36 (define @t18 () (tptp.pl @t3 tptp.n_1)) % 0.16/0.36 (define @t19 () (tptp.suc @t3)) % 0.16/0.36 (define @t20 () (tptp.moreis @t4 @t3)) % 0.16/0.36 (define @t21 () (tptp.pl @t4 tptp.n_1)) % 0.16/0.36 (define @t22 () (tptp.more @t21 @t3)) % 0.16/0.36 (define @t23 () (not @t7)) % 0.16/0.36 (define @t24 () (or @t23 @t5)) % 0.16/0.36 (define @t25 () (tptp.moreis tptp.y tptp.x)) % 0.16/0.36 (define @t26 () (tptp.pl tptp.y tptp.n_1)) % 0.16/0.36 (define @t27 () (tptp.more @t26 tptp.x)) % 0.16/0.36 (define @t28 () (not @t27)) % 0.16/0.36 (define @t29 () (or @t28 @t25)) % 0.16/0.36 (define @t30 () (= @t16 @t26)) % 0.16/0.36 (define @t31 () (and @t17 @t30)) % 0.16/0.36 (assume @p1 @t2) % 0.16/0.36 (assume @p2 @t9) % 0.16/0.36 (assume @p3 @t13) % 0.16/0.36 (assume @p4 @t15) % 0.16/0.36 (assume @p5 true) % 0.16/0.36 (step @p6 :rule refl :args ((tptp.more @t1 tptp.x))) % 0.16/0.36 (step @p7 :rule refl :args (tptp.x)) % 0.16/0.36 (step @p8 :rule refl :args (@t16)) % 0.16/0.36 (step @p9 :rule cong :premises (@p8 @p7) :args (@t17)) % 0.16/0.36 (step @p10 :rule trans :premises (@p9 @p6)) % 0.16/0.36 (step @p11 :rule refl :args (tptp.more)) % 0.16/0.36 (step @p12 :rule ho_cong :premises (@p11 @p8)) % 0.16/0.36 (step @p13 :rule ho_cong :premises (@p12 @p7)) % 0.16/0.36 (step @p14 :rule cong :premises (@p13 @p10) :args ((= (_ (_ tptp.more @t16) tptp.x) @t17))) % 0.16/0.36 (step @p15 :rule symm :premises (@p14)) % 0.16/0.36 (step @p16 :rule refl :args (@t2)) % 0.16/0.36 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 0.16/0.36 (step @p18 :rule refl :args (tptp.x)) % 0.16/0.36 (step @p19 :rule refl :args (@t1)) % 0.16/0.36 (step @p20 :rule cong :premises (@p19 @p8) :args ((= @t1 @t16))) % 0.16/0.36 (step @p21 :rule symm :premises (@p20)) % 0.16/0.36 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.16/0.36 (step @p23 :rule refl :args (tptp.more)) % 0.16/0.36 (step @p24 :rule ho_cong :premises (@p23 @p22)) % 0.16/0.36 (step @p25 :rule ho_cong :premises (@p24 @p18)) % 0.16/0.36 (step @p26 :rule trans :premises (@p25 @p17)) % 0.16/0.36 (step @p27 :rule eq_resolve :premises (@p1 @p26)) % 0.16/0.36 (step @p28 :rule refl :args (@t18)) % 0.16/0.36 (step @p29 :rule refl :args (@t10)) % 0.16/0.36 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t10 @t18))) % 0.16/0.36 (step @p31 :rule symm :premises (@p30)) % 0.16/0.36 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.16/0.36 (step @p33 :rule refl :args (@t19)) % 0.16/0.36 (step @p34 :rule refl :args (@t11)) % 0.16/0.36 (step @p35 :rule cong :premises (@p34 @p33) :args ((= @t11 @t19))) % 0.16/0.36 (step @p36 :rule symm :premises (@p35)) % 0.16/0.36 (step @p37 :rule eq_resolve :premises (@p34 @p36)) % 0.16/0.36 (step @p38 :rule cong :premises (@p37 @p32) :args (@t12)) % 0.16/0.36 (step @p39 :rule cong :premises (@p38) :args (@t13)) % 0.16/0.36 (step @p40 :rule eq_resolve :premises (@p3 @p39)) % 0.16/0.36 (step @p41 :rule instantiate :premises (@p40) :args ((@list tptp.y))) % 0.16/0.36 (step @p42 :rule refl :args (@t20)) % 0.16/0.36 (step @p43 :rule refl :args (@t5)) % 0.16/0.36 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t5 @t20))) % 0.16/0.36 (step @p45 :rule symm :premises (@p44)) % 0.16/0.36 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 0.16/0.36 (step @p47 :rule refl :args ((tptp.more @t6 @t3))) % 0.16/0.36 (step @p48 :rule refl :args (@t3)) % 0.16/0.36 (step @p49 :rule refl :args (@t21)) % 0.16/0.36 (step @p50 :rule cong :premises (@p49 @p48) :args (@t22)) % 0.16/0.36 (step @p51 :rule trans :premises (@p50 @p47)) % 0.16/0.36 (step @p52 :rule ho_cong :premises (@p11 @p49)) % 0.16/0.36 (step @p53 :rule ho_cong :premises (@p52 @p48)) % 0.16/0.36 (step @p54 :rule cong :premises (@p53 @p51) :args ((= (_ (_ tptp.more @t21) @t3) @t22))) % 0.16/0.36 (step @p55 :rule symm :premises (@p54)) % 0.16/0.36 (step @p56 :rule refl :args (@t7)) % 0.16/0.36 (step @p57 :rule eq_resolve :premises (@p56 @p55)) % 0.16/0.36 (step @p58 :rule refl :args (@t6)) % 0.16/0.36 (step @p59 :rule cong :premises (@p58 @p49) :args ((= @t6 @t21))) % 0.16/0.36 (step @p60 :rule symm :premises (@p59)) % 0.16/0.36 (step @p61 :rule eq_resolve :premises (@p58 @p60)) % 0.16/0.36 (step @p62 :rule ho_cong :premises (@p11 @p61)) % 0.16/0.36 (step @p63 :rule ho_cong :premises (@p62 @p48)) % 0.16/0.36 (step @p64 :rule trans :premises (@p63 @p57)) % 0.16/0.36 (step @p65 :rule cong :premises (@p64) :args (@t23)) % 0.16/0.36 (step @p66 :rule nary_cong :premises (@p65 @p46) :args (@t24)) % 0.16/0.36 (step @p67 :rule cong :premises (@p66) :args ((forall @t8 @t24))) % 0.16/0.36 (step @p68 :rule bool-impl-elim :args (@t7 @t5)) % 0.16/0.36 (step @p69 :rule cong :premises (@p68) :args (@t9)) % 0.16/0.36 (step @p70 :rule trans :premises (@p69 @p67)) % 0.16/0.36 (step @p71 :rule eq_resolve :premises (@p2 @p70)) % 0.16/0.36 (step @p72 :rule instantiate :premises (@p71) :args ((@list tptp.x tptp.y))) % 0.16/0.36 (step @p73 :rule refl :args (@t25)) % 0.16/0.36 (step @p74 :rule refl :args (@t14)) % 0.16/0.36 (step @p75 :rule cong :premises (@p74 @p73) :args ((= @t14 @t25))) % 0.16/0.36 (step @p76 :rule symm :premises (@p75)) % 0.16/0.36 (step @p77 :rule eq_resolve :premises (@p74 @p76)) % 0.16/0.36 (step @p78 :rule cong :premises (@p77) :args (@t15)) % 0.16/0.36 (step @p79 :rule eq_resolve :premises (@p4 @p78)) % 0.16/0.36 (step @p80 :rule cnf_or_pos :args (@t29)) % 0.16/0.36 (step @p81 :rule reordering :premises (@p80) :args ((or @t25 @t28 (not @t29)))) % 0.16/0.36 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p72) :args (@t28 (@list true false) (@list @t25 @t29))) % 0.16/0.36 (assume-push @p98 @t17) % 0.16/0.36 (assume-push @p99 @t30) % 0.16/0.36 (step @p85 :rule true_intro :premises (@p27)) % 0.16/0.36 (step @p86 :rule symm :premises (@p41)) % 0.16/0.36 (step @p87 :rule cong :premises (@p86 @p18) :args (@t27)) % 0.16/0.36 (step @p88 :rule trans :premises (@p87 @p85)) % 0.16/0.36 (step @p89 :rule true_elim :premises (@p88)) % 0.16/0.36 (step-pop @p100 :rule scope :premises (@p89)) % 0.16/0.36 (step-pop @p101 :rule scope :premises (@p100)) % 0.16/0.36 (step @p90 :rule process_scope :premises (@p101) :args (@t27)) % 0.16/0.36 (step @p93 :rule implies_elim :premises (@p90)) % 0.16/0.36 (step @p94 :rule cnf_and_neg :args (@t31)) % 0.16/0.36 (step @p95 :rule resolution :premises (@p94 @p93) :args (true @t31)) % 0.16/0.36 (step @p96 :rule reordering :premises (@p95) :args ((or (not @t17) @t27 (not @t30)))) % 0.16/0.36 (step @p97 false :rule chain_m_resolution :premises (@p96 @p82 @p41 @p27) :args (false (@list true false false) (@list @t27 @t30 @t17))) % 0.16/0.36 ) % 0.16/0.36 % SZS output end Proof % 0.16/0.36 % cvc5 exiting %------------------------------------------------------------------------------