%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM700^1 : 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 : n018.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 08:40:25 AM UTC 2026 % Result : Theorem 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : NUM700^1 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n018.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 11:58:35 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 0.39/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.57 % SZS status Theorem % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort tptp.nat 0) % 0.39/0.57 (declare-const tptp.more (-> tptp.nat tptp.nat Bool)) % 0.39/0.57 (declare-const tptp.less (-> tptp.nat tptp.nat Bool)) % 0.39/0.57 (declare-const tptp.y tptp.nat) % 0.39/0.57 (declare-const tptp.pl (-> tptp.nat tptp.nat tptp.nat)) % 0.39/0.57 (declare-const tptp.x tptp.nat) % 0.39/0.57 (declare-const tptp.moreis (-> tptp.nat tptp.nat Bool)) % 0.39/0.57 (declare-const tptp.lessis (-> tptp.nat tptp.nat Bool)) % 0.39/0.57 (declare-const tptp.n_1 tptp.nat) % 0.39/0.57 (define @t1 () (_ (_ tptp.pl tptp.x) tptp.n_1)) % 0.39/0.57 (define @t2 () (_ tptp.less tptp.y)) % 0.39/0.57 (define @t3 () (_ @t2 @t1)) % 0.39/0.57 (define @t4 () (@var "Xy" tptp.nat)) % 0.39/0.57 (define @t5 () (@var "Xx" tptp.nat)) % 0.39/0.57 (define @t6 () (_ (_ tptp.lessis @t5) @t4)) % 0.39/0.57 (define @t7 () (_ (_ tptp.more @t5) @t4)) % 0.39/0.57 (define @t8 () (not @t7)) % 0.39/0.57 (define @t9 () (@list @t5 @t4)) % 0.39/0.57 (define @t10 () (forall @t9 (=> @t8 @t6))) % 0.39/0.57 (define @t11 () (_ (_ tptp.moreis @t5) @t4)) % 0.39/0.57 (define @t12 () (not @t11)) % 0.39/0.57 (define @t13 () (_ (_ tptp.less @t5) @t4)) % 0.39/0.57 (define @t14 () (forall @t9 (=> @t13 @t12))) % 0.39/0.57 (define @t15 () (_ (_ tptp.pl @t5) tptp.n_1)) % 0.39/0.57 (define @t16 () (_ tptp.moreis @t4)) % 0.39/0.57 (define @t17 () (_ @t16 @t15)) % 0.39/0.57 (define @t18 () (_ (_ tptp.more @t4) @t5)) % 0.39/0.57 (define @t19 () (forall @t9 (=> @t18 @t17))) % 0.39/0.57 (define @t20 () (_ (_ tptp.lessis tptp.y) tptp.x)) % 0.39/0.57 (define @t21 () (not @t20)) % 0.39/0.57 (define @t22 () (tptp.pl @t5 tptp.n_1)) % 0.39/0.57 (define @t23 () (tptp.moreis @t4 @t22)) % 0.39/0.57 (define @t24 () (tptp.more @t4 @t5)) % 0.39/0.57 (define @t25 () (not @t18)) % 0.39/0.57 (define @t26 () (or @t25 @t17)) % 0.39/0.57 (define @t27 () (tptp.lessis @t5 @t4)) % 0.39/0.57 (define @t28 () (tptp.more @t5 @t4)) % 0.39/0.57 (define @t29 () (or @t7 @t6)) % 0.39/0.57 (define @t30 () (tptp.lessis tptp.y tptp.x)) % 0.39/0.57 (define @t31 () (tptp.more tptp.y tptp.x)) % 0.39/0.57 (define @t32 () (or @t31 @t30)) % 0.39/0.57 (define @t33 () (@list true false)) % 0.39/0.57 (define @t34 () (tptp.moreis @t5 @t4)) % 0.39/0.57 (define @t35 () (tptp.less @t5 @t4)) % 0.39/0.57 (define @t36 () (not @t13)) % 0.39/0.57 (define @t37 () (or @t36 @t12)) % 0.39/0.57 (define @t38 () (tptp.pl tptp.x tptp.n_1)) % 0.39/0.57 (define @t39 () (tptp.less tptp.y @t38)) % 0.39/0.57 (define @t40 () (tptp.moreis tptp.y @t38)) % 0.39/0.57 (define @t41 () (not @t40)) % 0.39/0.57 (define @t42 () (not @t39)) % 0.39/0.57 (define @t43 () (or @t42 @t41)) % 0.39/0.57 (define @t44 () (not @t31)) % 0.39/0.57 (define @t45 () (or @t44 @t40)) % 0.39/0.57 (define @t46 () (not @t45)) % 0.39/0.57 (define @t47 () (forall @t9 (or (not @t24) @t23))) % 0.39/0.57 (assume @p1 @t3) % 0.39/0.57 (assume @p2 @t10) % 0.39/0.57 (assume @p3 @t14) % 0.39/0.57 (assume @p4 @t19) % 0.39/0.57 (assume @p5 @t21) % 0.39/0.57 (assume @p6 true) % 0.39/0.57 (step @p7 :rule refl :args ((tptp.moreis @t4 @t15))) % 0.39/0.57 (step @p8 :rule refl :args (@t22)) % 0.39/0.57 (step @p9 :rule refl :args (@t4)) % 0.39/0.57 (step @p10 :rule cong :premises (@p9 @p8) :args (@t23)) % 0.39/0.57 (step @p11 :rule trans :premises (@p10 @p7)) % 0.39/0.57 (step @p12 :rule refl :args (@t16)) % 0.39/0.57 (step @p13 :rule ho_cong :premises (@p12 @p8)) % 0.39/0.57 (step @p14 :rule cong :premises (@p13 @p11) :args ((= (_ @t16 @t22) @t23))) % 0.39/0.57 (step @p15 :rule symm :premises (@p14)) % 0.39/0.57 (step @p16 :rule refl :args (@t17)) % 0.39/0.57 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 0.39/0.57 (step @p18 :rule refl :args (@t15)) % 0.39/0.57 (step @p19 :rule cong :premises (@p18 @p8) :args ((= @t15 @t22))) % 0.39/0.57 (step @p20 :rule symm :premises (@p19)) % 0.39/0.57 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.39/0.57 (step @p22 :rule ho_cong :premises (@p12 @p21)) % 0.39/0.57 (step @p23 :rule trans :premises (@p22 @p17)) % 0.39/0.57 (step @p24 :rule refl :args (@t24)) % 0.39/0.57 (step @p25 :rule refl :args (@t18)) % 0.39/0.57 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t18 @t24))) % 0.39/0.57 (step @p27 :rule symm :premises (@p26)) % 0.39/0.57 (step @p28 :rule eq_resolve :premises (@p25 @p27)) % 0.39/0.57 (step @p29 :rule cong :premises (@p28) :args (@t25)) % 0.39/0.57 (step @p30 :rule nary_cong :premises (@p29 @p23) :args (@t26)) % 0.39/0.57 (step @p31 :rule cong :premises (@p30) :args ((forall @t9 @t26))) % 0.39/0.57 (step @p32 :rule bool-impl-elim :args (@t18 @t17)) % 0.39/0.57 (step @p33 :rule cong :premises (@p32) :args (@t19)) % 0.39/0.57 (step @p34 :rule trans :premises (@p33 @p31)) % 0.39/0.57 (step @p35 :rule eq_resolve :premises (@p4 @p34)) % 0.39/0.57 (step @p36 :rule refl :args (@t27)) % 0.39/0.57 (step @p37 :rule refl :args (@t6)) % 0.39/0.57 (step @p38 :rule cong :premises (@p37 @p36) :args ((= @t6 @t27))) % 0.39/0.57 (step @p39 :rule symm :premises (@p38)) % 0.39/0.57 (step @p40 :rule eq_resolve :premises (@p37 @p39)) % 0.39/0.57 (step @p41 :rule refl :args (@t28)) % 0.39/0.57 (step @p42 :rule refl :args (@t7)) % 0.39/0.57 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t7 @t28))) % 0.39/0.57 (step @p44 :rule symm :premises (@p43)) % 0.39/0.57 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.39/0.57 (step @p46 :rule nary_cong :premises (@p45 @p40) :args (@t29)) % 0.39/0.57 (step @p47 :rule cong :premises (@p46) :args ((forall @t9 @t29))) % 0.39/0.57 (step @p48 :rule bool-double-not-elim :args (@t7)) % 0.39/0.57 (step @p49 :rule nary_cong :premises (@p48 @p37) :args ((or (not @t8) @t6))) % 0.39/0.57 (step @p50 :rule bool-impl-elim :args (@t8 @t6)) % 0.39/0.57 (step @p51 :rule trans :premises (@p50 @p49)) % 0.39/0.57 (step @p52 :rule cong :premises (@p51) :args (@t10)) % 0.39/0.57 (step @p53 :rule trans :premises (@p52 @p47)) % 0.39/0.57 (step @p54 :rule eq_resolve :premises (@p2 @p53)) % 0.39/0.57 (step @p55 :rule instantiate :premises (@p54) :args ((@list tptp.y tptp.x))) % 0.39/0.57 (step @p56 :rule refl :args (@t30)) % 0.39/0.57 (step @p57 :rule refl :args (@t20)) % 0.39/0.57 (step @p58 :rule cong :premises (@p57 @p56) :args ((= @t20 @t30))) % 0.39/0.57 (step @p59 :rule symm :premises (@p58)) % 0.39/0.57 (step @p60 :rule eq_resolve :premises (@p57 @p59)) % 0.39/0.57 (step @p61 :rule cong :premises (@p60) :args (@t21)) % 0.39/0.57 (step @p62 :rule eq_resolve :premises (@p5 @p61)) % 0.39/0.57 (step @p63 :rule cnf_or_pos :args (@t32)) % 0.39/0.57 (step @p64 :rule reordering :premises (@p63) :args ((or @t30 @t31 (not @t32)))) % 0.39/0.57 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p55) :args (@t31 @t33 (@list @t30 @t32))) % 0.39/0.57 (step @p66 :rule refl :args (@t34)) % 0.39/0.57 (step @p67 :rule refl :args (@t11)) % 0.39/0.57 (step @p68 :rule cong :premises (@p67 @p66) :args ((= @t11 @t34))) % 0.39/0.57 (step @p69 :rule symm :premises (@p68)) % 0.39/0.57 (step @p70 :rule eq_resolve :premises (@p67 @p69)) % 0.39/0.57 (step @p71 :rule cong :premises (@p70) :args (@t12)) % 0.39/0.57 (step @p72 :rule refl :args (@t35)) % 0.39/0.57 (step @p73 :rule refl :args (@t13)) % 0.39/0.57 (step @p74 :rule cong :premises (@p73 @p72) :args ((= @t13 @t35))) % 0.39/0.57 (step @p75 :rule symm :premises (@p74)) % 0.39/0.57 (step @p76 :rule eq_resolve :premises (@p73 @p75)) % 0.39/0.57 (step @p77 :rule cong :premises (@p76) :args (@t36)) % 0.39/0.57 (step @p78 :rule nary_cong :premises (@p77 @p71) :args (@t37)) % 0.39/0.57 (step @p79 :rule cong :premises (@p78) :args ((forall @t9 @t37))) % 0.39/0.57 (step @p80 :rule bool-impl-elim :args (@t13 @t12)) % 0.39/0.57 (step @p81 :rule cong :premises (@p80) :args (@t14)) % 0.39/0.57 (step @p82 :rule trans :premises (@p81 @p79)) % 0.39/0.57 (step @p83 :rule eq_resolve :premises (@p3 @p82)) % 0.39/0.57 (step @p84 :rule instantiate :premises (@p83) :args ((@list tptp.y @t38))) % 0.39/0.57 (step @p85 :rule refl :args ((tptp.less tptp.y @t1))) % 0.39/0.57 (step @p86 :rule refl :args (@t38)) % 0.39/0.57 (step @p87 :rule refl :args (tptp.y)) % 0.39/0.57 (step @p88 :rule cong :premises (@p87 @p86) :args (@t39)) % 0.39/0.57 (step @p89 :rule trans :premises (@p88 @p85)) % 0.39/0.57 (step @p90 :rule refl :args (@t2)) % 0.39/0.57 (step @p91 :rule ho_cong :premises (@p90 @p86)) % 0.39/0.57 (step @p92 :rule cong :premises (@p91 @p89) :args ((= (_ @t2 @t38) @t39))) % 0.39/0.57 (step @p93 :rule symm :premises (@p92)) % 0.39/0.57 (step @p94 :rule refl :args (@t3)) % 0.39/0.57 (step @p95 :rule eq_resolve :premises (@p94 @p93)) % 0.39/0.57 (step @p96 :rule refl :args (@t1)) % 0.39/0.57 (step @p97 :rule cong :premises (@p96 @p86) :args ((= @t1 @t38))) % 0.39/0.57 (step @p98 :rule symm :premises (@p97)) % 0.39/0.57 (step @p99 :rule eq_resolve :premises (@p96 @p98)) % 0.39/0.57 (step @p100 :rule refl :args (@t2)) % 0.39/0.57 (step @p101 :rule ho_cong :premises (@p100 @p99)) % 0.39/0.57 (step @p102 :rule trans :premises (@p101 @p95)) % 0.39/0.57 (step @p103 :rule eq_resolve :premises (@p1 @p102)) % 0.39/0.57 (step @p104 :rule cnf_or_pos :args (@t43)) % 0.39/0.57 (step @p105 :rule reordering :premises (@p104) :args ((or @t42 @t41 (not @t43)))) % 0.39/0.57 (step @p106 :rule chain_m_resolution :premises (@p105 @p103 @p84) :args (@t41 (@list false false) (@list @t39 @t43))) % 0.39/0.57 (step @p107 :rule cnf_or_pos :args (@t45)) % 0.39/0.57 (step @p108 :rule reordering :premises (@p107) :args ((or @t40 @t44 @t46))) % 0.39/0.57 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p65) :args (@t46 @t33 (@list @t40 @t31))) % 0.39/0.57 (assume-push @p116 @t47) % 0.39/0.57 (step @p111 :rule instantiate :premises (@p35) :args ((@list tptp.x tptp.y))) % 0.39/0.57 (step-pop @p117 :rule scope :premises (@p111)) % 0.39/0.57 (step @p112 :rule process_scope :premises (@p117) :args (@t45)) % 0.39/0.57 (step @p114 :rule implies_elim :premises (@p112)) % 0.39/0.57 (step @p115 false :rule chain_m_resolution :premises (@p114 @p109 @p35) :args (false @t33 (@list @t45 @t47))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------