%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM672^1 : 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 : n019.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 08:40:19 AM UTC 2026 % Result : Theorem 0.29s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM672^1 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n019.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 11:49:34 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.29/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.29/0.55 % SZS status Theorem % 0.29/0.55 % SZS output start Proof % 0.29/0.55 ( % 0.29/0.55 (declare-sort tptp.nat 0) % 0.29/0.55 (declare-const tptp.z tptp.nat) % 0.29/0.55 (declare-const tptp.pl (-> tptp.nat tptp.nat tptp.nat)) % 0.29/0.55 (declare-const tptp.more (-> tptp.nat tptp.nat Bool)) % 0.29/0.55 (declare-const tptp.less (-> tptp.nat tptp.nat Bool)) % 0.29/0.55 (declare-const tptp.x tptp.nat) % 0.29/0.55 (declare-const tptp.y tptp.nat) % 0.29/0.55 (define @t1 () (_ (_ tptp.less tptp.x) tptp.y)) % 0.29/0.55 (define @t2 () (@var "Xx" tptp.nat)) % 0.29/0.55 (define @t3 () (@var "Xy" tptp.nat)) % 0.29/0.55 (define @t4 () (_ (_ tptp.less @t3) @t2)) % 0.29/0.55 (define @t5 () (_ (_ tptp.more @t2) @t3)) % 0.29/0.55 (define @t6 () (@list @t2 @t3)) % 0.29/0.55 (define @t7 () (forall @t6 (=> @t5 @t4))) % 0.29/0.55 (define @t8 () (@var "Xz" tptp.nat)) % 0.29/0.55 (define @t9 () (_ (_ tptp.pl @t3) @t8)) % 0.29/0.55 (define @t10 () (_ (_ tptp.pl @t2) @t8)) % 0.29/0.55 (define @t11 () (_ (_ tptp.more @t10) @t9)) % 0.29/0.55 (define @t12 () (@list @t2 @t3 @t8)) % 0.29/0.55 (define @t13 () (forall @t12 (=> @t5 @t11))) % 0.29/0.55 (define @t14 () (_ (_ tptp.more @t3) @t2)) % 0.29/0.56 (define @t15 () (_ (_ tptp.less @t2) @t3)) % 0.29/0.56 (define @t16 () (forall @t6 (=> @t15 @t14))) % 0.29/0.56 (define @t17 () (_ (_ tptp.pl tptp.y) tptp.z)) % 0.29/0.56 (define @t18 () (_ (_ tptp.pl tptp.x) tptp.z)) % 0.29/0.56 (define @t19 () (_ (_ tptp.less @t18) @t17)) % 0.29/0.56 (define @t20 () (not @t19)) % 0.29/0.56 (define @t21 () (tptp.pl @t3 @t8)) % 0.29/0.56 (define @t22 () (tptp.pl @t2 @t8)) % 0.29/0.56 (define @t23 () (tptp.more @t22 @t21)) % 0.29/0.56 (define @t24 () (tptp.more @t2 @t3)) % 0.29/0.56 (define @t25 () (not @t5)) % 0.29/0.56 (define @t26 () (or @t25 @t11)) % 0.29/0.56 (define @t27 () (tptp.more @t3 @t2)) % 0.29/0.56 (define @t28 () (tptp.less @t2 @t3)) % 0.29/0.56 (define @t29 () (not @t15)) % 0.29/0.56 (define @t30 () (or @t29 @t14)) % 0.29/0.56 (define @t31 () (tptp.less tptp.x tptp.y)) % 0.29/0.56 (define @t32 () (tptp.more tptp.y tptp.x)) % 0.29/0.56 (define @t33 () (not @t31)) % 0.29/0.56 (define @t34 () (or @t33 @t32)) % 0.29/0.56 (define @t35 () (tptp.less @t3 @t2)) % 0.29/0.56 (define @t36 () (or @t25 @t4)) % 0.29/0.56 (define @t37 () (tptp.pl tptp.x tptp.z)) % 0.29/0.56 (define @t38 () (tptp.pl tptp.y tptp.z)) % 0.29/0.56 (define @t39 () (tptp.less @t37 @t38)) % 0.29/0.56 (define @t40 () (tptp.more @t38 @t37)) % 0.29/0.56 (define @t41 () (not @t40)) % 0.29/0.56 (define @t42 () (or @t41 @t39)) % 0.29/0.56 (define @t43 () (@list true false)) % 0.29/0.56 (define @t44 () (not @t32)) % 0.29/0.56 (define @t45 () (or @t44 @t40)) % 0.29/0.56 (define @t46 () (not @t45)) % 0.29/0.56 (define @t47 () (forall @t12 (or (not @t24) @t23))) % 0.29/0.56 (assume @p1 @t1) % 0.29/0.56 (assume @p2 @t7) % 0.29/0.56 (assume @p3 @t13) % 0.29/0.56 (assume @p4 @t16) % 0.29/0.56 (assume @p5 @t20) % 0.29/0.56 (assume @p6 true) % 0.29/0.56 (step @p7 :rule refl :args ((tptp.more @t10 @t9))) % 0.29/0.56 (step @p8 :rule refl :args (@t21)) % 0.29/0.56 (step @p9 :rule refl :args (@t22)) % 0.29/0.56 (step @p10 :rule cong :premises (@p9 @p8) :args (@t23)) % 0.29/0.56 (step @p11 :rule trans :premises (@p10 @p7)) % 0.29/0.56 (step @p12 :rule refl :args (tptp.more)) % 0.29/0.56 (step @p13 :rule ho_cong :premises (@p12 @p9)) % 0.29/0.56 (step @p14 :rule ho_cong :premises (@p13 @p8)) % 0.29/0.56 (step @p15 :rule cong :premises (@p14 @p11) :args ((= (_ (_ tptp.more @t22) @t21) @t23))) % 0.29/0.56 (step @p16 :rule symm :premises (@p15)) % 0.29/0.56 (step @p17 :rule refl :args (@t11)) % 0.29/0.56 (step @p18 :rule eq_resolve :premises (@p17 @p16)) % 0.29/0.56 (step @p19 :rule refl :args (@t9)) % 0.29/0.56 (step @p20 :rule cong :premises (@p19 @p8) :args ((= @t9 @t21))) % 0.29/0.56 (step @p21 :rule symm :premises (@p20)) % 0.29/0.56 (step @p22 :rule eq_resolve :premises (@p19 @p21)) % 0.29/0.56 (step @p23 :rule refl :args (@t10)) % 0.29/0.56 (step @p24 :rule cong :premises (@p23 @p9) :args ((= @t10 @t22))) % 0.29/0.56 (step @p25 :rule symm :premises (@p24)) % 0.29/0.56 (step @p26 :rule eq_resolve :premises (@p23 @p25)) % 0.29/0.56 (step @p27 :rule ho_cong :premises (@p12 @p26)) % 0.29/0.56 (step @p28 :rule ho_cong :premises (@p27 @p22)) % 0.29/0.56 (step @p29 :rule trans :premises (@p28 @p18)) % 0.29/0.56 (step @p30 :rule refl :args (@t24)) % 0.29/0.56 (step @p31 :rule refl :args (@t5)) % 0.29/0.56 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t5 @t24))) % 0.29/0.56 (step @p33 :rule symm :premises (@p32)) % 0.29/0.56 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.29/0.56 (step @p35 :rule cong :premises (@p34) :args (@t25)) % 0.29/0.56 (step @p36 :rule nary_cong :premises (@p35 @p29) :args (@t26)) % 0.29/0.56 (step @p37 :rule cong :premises (@p36) :args ((forall @t12 @t26))) % 0.29/0.56 (step @p38 :rule bool-impl-elim :args (@t5 @t11)) % 0.29/0.56 (step @p39 :rule cong :premises (@p38) :args (@t13)) % 0.29/0.56 (step @p40 :rule trans :premises (@p39 @p37)) % 0.29/0.56 (step @p41 :rule eq_resolve :premises (@p3 @p40)) % 0.29/0.56 (step @p42 :rule refl :args (@t27)) % 0.29/0.56 (step @p43 :rule refl :args (@t14)) % 0.29/0.56 (step @p44 :rule cong :premises (@p43 @p42) :args ((= @t14 @t27))) % 0.29/0.56 (step @p45 :rule symm :premises (@p44)) % 0.29/0.56 (step @p46 :rule eq_resolve :premises (@p43 @p45)) % 0.29/0.56 (step @p47 :rule refl :args (@t28)) % 0.29/0.56 (step @p48 :rule refl :args (@t15)) % 0.29/0.56 (step @p49 :rule cong :premises (@p48 @p47) :args ((= @t15 @t28))) % 0.29/0.56 (step @p50 :rule symm :premises (@p49)) % 0.29/0.56 (step @p51 :rule eq_resolve :premises (@p48 @p50)) % 0.29/0.56 (step @p52 :rule cong :premises (@p51) :args (@t29)) % 0.29/0.56 (step @p53 :rule nary_cong :premises (@p52 @p46) :args (@t30)) % 0.29/0.56 (step @p54 :rule cong :premises (@p53) :args ((forall @t6 @t30))) % 0.29/0.56 (step @p55 :rule bool-impl-elim :args (@t15 @t14)) % 0.29/0.56 (step @p56 :rule cong :premises (@p55) :args (@t16)) % 0.29/0.56 (step @p57 :rule trans :premises (@p56 @p54)) % 0.29/0.56 (step @p58 :rule eq_resolve :premises (@p4 @p57)) % 0.29/0.56 (step @p59 :rule instantiate :premises (@p58) :args ((@list tptp.x tptp.y))) % 0.29/0.56 (step @p60 :rule refl :args (@t31)) % 0.29/0.56 (step @p61 :rule refl :args (@t1)) % 0.29/0.56 (step @p62 :rule cong :premises (@p61 @p60) :args ((= @t1 @t31))) % 0.29/0.56 (step @p63 :rule symm :premises (@p62)) % 0.29/0.56 (step @p64 :rule eq_resolve :premises (@p61 @p63)) % 0.29/0.56 (step @p65 :rule eq_resolve :premises (@p1 @p64)) % 0.29/0.56 (step @p66 :rule cnf_or_pos :args (@t34)) % 0.29/0.56 (step @p67 :rule reordering :premises (@p66) :args ((or @t33 @t32 (not @t34)))) % 0.29/0.56 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p59) :args (@t32 (@list false false) (@list @t31 @t34))) % 0.29/0.56 (step @p69 :rule refl :args (@t35)) % 0.29/0.56 (step @p70 :rule refl :args (@t4)) % 0.29/0.56 (step @p71 :rule cong :premises (@p70 @p69) :args ((= @t4 @t35))) % 0.29/0.56 (step @p72 :rule symm :premises (@p71)) % 0.29/0.56 (step @p73 :rule eq_resolve :premises (@p70 @p72)) % 0.29/0.56 (step @p74 :rule nary_cong :premises (@p35 @p73) :args (@t36)) % 0.29/0.56 (step @p75 :rule cong :premises (@p74) :args ((forall @t6 @t36))) % 0.29/0.56 (step @p76 :rule bool-impl-elim :args (@t5 @t4)) % 0.29/0.56 (step @p77 :rule cong :premises (@p76) :args (@t7)) % 0.29/0.56 (step @p78 :rule trans :premises (@p77 @p75)) % 0.29/0.56 (step @p79 :rule eq_resolve :premises (@p2 @p78)) % 0.29/0.56 (step @p80 :rule instantiate :premises (@p79) :args ((@list @t38 @t37))) % 0.29/0.56 (step @p81 :rule refl :args ((tptp.less @t18 @t17))) % 0.29/0.56 (step @p82 :rule refl :args (@t38)) % 0.29/0.56 (step @p83 :rule refl :args (@t37)) % 0.29/0.56 (step @p84 :rule cong :premises (@p83 @p82) :args (@t39)) % 0.29/0.56 (step @p85 :rule trans :premises (@p84 @p81)) % 0.29/0.56 (step @p86 :rule refl :args (tptp.less)) % 0.29/0.56 (step @p87 :rule ho_cong :premises (@p86 @p83)) % 0.29/0.56 (step @p88 :rule ho_cong :premises (@p87 @p82)) % 0.29/0.56 (step @p89 :rule cong :premises (@p88 @p85) :args ((= (_ (_ tptp.less @t37) @t38) @t39))) % 0.29/0.56 (step @p90 :rule symm :premises (@p89)) % 0.29/0.56 (step @p91 :rule refl :args (@t19)) % 0.29/0.56 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 0.29/0.56 (step @p93 :rule refl :args (@t17)) % 0.29/0.56 (step @p94 :rule cong :premises (@p93 @p82) :args ((= @t17 @t38))) % 0.29/0.56 (step @p95 :rule symm :premises (@p94)) % 0.29/0.56 (step @p96 :rule eq_resolve :premises (@p93 @p95)) % 0.29/0.56 (step @p97 :rule refl :args (@t18)) % 0.29/0.56 (step @p98 :rule cong :premises (@p97 @p83) :args ((= @t18 @t37))) % 0.29/0.56 (step @p99 :rule symm :premises (@p98)) % 0.29/0.56 (step @p100 :rule eq_resolve :premises (@p97 @p99)) % 0.29/0.56 (step @p101 :rule refl :args (tptp.less)) % 0.29/0.56 (step @p102 :rule ho_cong :premises (@p101 @p100)) % 0.29/0.56 (step @p103 :rule ho_cong :premises (@p102 @p96)) % 0.29/0.56 (step @p104 :rule trans :premises (@p103 @p92)) % 0.29/0.56 (step @p105 :rule cong :premises (@p104) :args (@t20)) % 0.29/0.56 (step @p106 :rule eq_resolve :premises (@p5 @p105)) % 0.29/0.56 (step @p107 :rule cnf_or_pos :args (@t42)) % 0.29/0.56 (step @p108 :rule reordering :premises (@p107) :args ((or @t39 @t41 (not @t42)))) % 0.29/0.56 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p80) :args (@t41 @t43 (@list @t39 @t42))) % 0.29/0.56 (step @p110 :rule cnf_or_pos :args (@t45)) % 0.29/0.56 (step @p111 :rule reordering :premises (@p110) :args ((or @t40 @t44 @t46))) % 0.29/0.56 (step @p112 :rule chain_m_resolution :premises (@p111 @p109 @p68) :args (@t46 @t43 (@list @t40 @t32))) % 0.29/0.56 (assume-push @p119 @t47) % 0.29/0.56 (step @p114 :rule instantiate :premises (@p41) :args ((@list tptp.y tptp.x tptp.z))) % 0.29/0.56 (step-pop @p120 :rule scope :premises (@p114)) % 0.29/0.56 (step @p115 :rule process_scope :premises (@p120) :args (@t45)) % 0.29/0.56 (step @p117 :rule implies_elim :premises (@p115)) % 0.29/0.56 (step @p118 false :rule chain_m_resolution :premises (@p117 @p112 @p41) :args (false @t43 (@list @t45 @t47))) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------