%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM692^1 : 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 : 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 08:40:23 AM UTC 2026 % Result : Theorem 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM692^1 : TPTP v9.2.1. Released v3.7.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.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 11:55:55 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.36/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.56 % SZS status Theorem % 0.36/0.56 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (declare-sort tptp.nat 0) % 0.36/0.56 (declare-const tptp.moreis (-> tptp.nat tptp.nat Bool)) % 0.36/0.56 (declare-const tptp.z tptp.nat) % 0.36/0.56 (declare-const tptp.u tptp.nat) % 0.36/0.56 (declare-const tptp.ts (-> tptp.nat tptp.nat tptp.nat)) % 0.36/0.56 (declare-const tptp.lessis (-> tptp.nat tptp.nat Bool)) % 0.36/0.56 (declare-const tptp.x tptp.nat) % 0.36/0.56 (declare-const tptp.y tptp.nat) % 0.36/0.56 (define @t1 () (_ (_ tptp.lessis tptp.x) tptp.y)) % 0.36/0.56 (define @t2 () (_ (_ tptp.lessis tptp.z) tptp.u)) % 0.36/0.56 (define @t3 () (@var "Xx" tptp.nat)) % 0.36/0.56 (define @t4 () (@var "Xy" tptp.nat)) % 0.36/0.56 (define @t5 () (_ (_ tptp.lessis @t4) @t3)) % 0.36/0.56 (define @t6 () (_ (_ tptp.moreis @t3) @t4)) % 0.36/0.56 (define @t7 () (@list @t3 @t4)) % 0.36/0.56 (define @t8 () (forall @t7 (=> @t6 @t5))) % 0.36/0.56 (define @t9 () (@var "Xu" tptp.nat)) % 0.36/0.56 (define @t10 () (_ (_ tptp.ts @t4) @t9)) % 0.36/0.56 (define @t11 () (@var "Xz" tptp.nat)) % 0.36/0.56 (define @t12 () (_ (_ tptp.ts @t3) @t11)) % 0.36/0.56 (define @t13 () (_ (_ tptp.moreis @t12) @t10)) % 0.36/0.56 (define @t14 () (_ (_ tptp.moreis @t11) @t9)) % 0.36/0.56 (define @t15 () (=> @t14 @t13)) % 0.36/0.56 (define @t16 () (@list @t3 @t4 @t11 @t9)) % 0.36/0.56 (define @t17 () (forall @t16 (=> @t6 @t15))) % 0.36/0.56 (define @t18 () (_ (_ tptp.moreis @t4) @t3)) % 0.36/0.56 (define @t19 () (_ (_ tptp.lessis @t3) @t4)) % 0.36/0.56 (define @t20 () (forall @t7 (=> @t19 @t18))) % 0.36/0.56 (define @t21 () (_ (_ tptp.ts tptp.y) tptp.u)) % 0.36/0.56 (define @t22 () (_ (_ tptp.ts tptp.x) tptp.z)) % 0.36/0.56 (define @t23 () (_ (_ tptp.lessis @t22) @t21)) % 0.36/0.56 (define @t24 () (not @t23)) % 0.36/0.56 (define @t25 () (tptp.ts @t4 @t9)) % 0.36/0.56 (define @t26 () (tptp.ts @t3 @t11)) % 0.36/0.56 (define @t27 () (tptp.moreis @t26 @t25)) % 0.36/0.56 (define @t28 () (tptp.moreis @t11 @t9)) % 0.36/0.56 (define @t29 () (not @t14)) % 0.36/0.56 (define @t30 () (tptp.moreis @t3 @t4)) % 0.36/0.56 (define @t31 () (not @t6)) % 0.36/0.56 (define @t32 () (or @t31 @t29 @t13)) % 0.36/0.56 (define @t33 () (tptp.moreis @t4 @t3)) % 0.36/0.56 (define @t34 () (tptp.lessis @t3 @t4)) % 0.36/0.56 (define @t35 () (not @t19)) % 0.36/0.56 (define @t36 () (or @t35 @t18)) % 0.36/0.56 (define @t37 () (tptp.lessis tptp.z tptp.u)) % 0.36/0.56 (define @t38 () (tptp.moreis tptp.u tptp.z)) % 0.36/0.56 (define @t39 () (not @t37)) % 0.36/0.56 (define @t40 () (or @t39 @t38)) % 0.36/0.56 (define @t41 () (@list false false)) % 0.36/0.56 (define @t42 () (tptp.lessis tptp.x tptp.y)) % 0.36/0.56 (define @t43 () (tptp.moreis tptp.y tptp.x)) % 0.36/0.56 (define @t44 () (not @t42)) % 0.36/0.56 (define @t45 () (or @t44 @t43)) % 0.36/0.56 (define @t46 () (tptp.lessis @t4 @t3)) % 0.36/0.56 (define @t47 () (or @t31 @t5)) % 0.36/0.56 (define @t48 () (tptp.ts tptp.x tptp.z)) % 0.36/0.56 (define @t49 () (tptp.ts tptp.y tptp.u)) % 0.36/0.56 (define @t50 () (tptp.lessis @t48 @t49)) % 0.36/0.56 (define @t51 () (tptp.moreis @t49 @t48)) % 0.36/0.56 (define @t52 () (not @t51)) % 0.36/0.56 (define @t53 () (or @t52 @t50)) % 0.36/0.56 (define @t54 () (@list true false)) % 0.36/0.56 (define @t55 () (not @t38)) % 0.36/0.56 (define @t56 () (not @t43)) % 0.36/0.56 (define @t57 () (or @t56 @t55 @t51)) % 0.36/0.56 (define @t58 () (not @t57)) % 0.36/0.56 (define @t59 () (forall @t16 (or (not @t30) (not @t28) @t27))) % 0.36/0.56 (assume @p1 @t1) % 0.36/0.56 (assume @p2 @t2) % 0.36/0.56 (assume @p3 @t8) % 0.36/0.56 (assume @p4 @t17) % 0.36/0.56 (assume @p5 @t20) % 0.36/0.56 (assume @p6 @t24) % 0.36/0.56 (assume @p7 true) % 0.36/0.56 (step @p8 :rule refl :args ((tptp.moreis @t12 @t10))) % 0.36/0.56 (step @p9 :rule refl :args (@t25)) % 0.36/0.56 (step @p10 :rule refl :args (@t26)) % 0.36/0.56 (step @p11 :rule cong :premises (@p10 @p9) :args (@t27)) % 0.36/0.56 (step @p12 :rule trans :premises (@p11 @p8)) % 0.36/0.56 (step @p13 :rule refl :args (tptp.moreis)) % 0.36/0.56 (step @p14 :rule ho_cong :premises (@p13 @p10)) % 0.36/0.56 (step @p15 :rule ho_cong :premises (@p14 @p9)) % 0.36/0.56 (step @p16 :rule cong :premises (@p15 @p12) :args ((= (_ (_ tptp.moreis @t26) @t25) @t27))) % 0.36/0.56 (step @p17 :rule symm :premises (@p16)) % 0.36/0.56 (step @p18 :rule refl :args (@t13)) % 0.36/0.56 (step @p19 :rule eq_resolve :premises (@p18 @p17)) % 0.36/0.56 (step @p20 :rule refl :args (@t10)) % 0.36/0.56 (step @p21 :rule cong :premises (@p20 @p9) :args ((= @t10 @t25))) % 0.36/0.56 (step @p22 :rule symm :premises (@p21)) % 0.36/0.56 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.36/0.56 (step @p24 :rule refl :args (@t12)) % 0.36/0.56 (step @p25 :rule cong :premises (@p24 @p10) :args ((= @t12 @t26))) % 0.36/0.56 (step @p26 :rule symm :premises (@p25)) % 0.36/0.56 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.36/0.56 (step @p28 :rule ho_cong :premises (@p13 @p27)) % 0.36/0.56 (step @p29 :rule ho_cong :premises (@p28 @p23)) % 0.36/0.56 (step @p30 :rule trans :premises (@p29 @p19)) % 0.36/0.56 (step @p31 :rule refl :args (@t28)) % 0.36/0.56 (step @p32 :rule refl :args (@t14)) % 0.36/0.56 (step @p33 :rule cong :premises (@p32 @p31) :args ((= @t14 @t28))) % 0.36/0.56 (step @p34 :rule symm :premises (@p33)) % 0.36/0.56 (step @p35 :rule eq_resolve :premises (@p32 @p34)) % 0.36/0.56 (step @p36 :rule cong :premises (@p35) :args (@t29)) % 0.36/0.56 (step @p37 :rule refl :args (@t30)) % 0.36/0.56 (step @p38 :rule refl :args (@t6)) % 0.36/0.56 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t6 @t30))) % 0.36/0.56 (step @p40 :rule symm :premises (@p39)) % 0.36/0.56 (step @p41 :rule eq_resolve :premises (@p38 @p40)) % 0.36/0.56 (step @p42 :rule cong :premises (@p41) :args (@t31)) % 0.36/0.56 (step @p43 :rule nary_cong :premises (@p42 @p36 @p30) :args (@t32)) % 0.36/0.56 (step @p44 :rule cong :premises (@p43) :args ((forall @t16 @t32))) % 0.36/0.56 (step @p45 :rule aci_norm :args ((= (or @t31 (or @t29 @t13)) @t32))) % 0.36/0.56 (step @p46 :rule bool-impl-elim :args (@t14 @t13)) % 0.36/0.56 (step @p47 :rule refl :args (@t31)) % 0.36/0.56 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or @t31 @t15))) % 0.36/0.56 (step @p49 :rule trans :premises (@p48 @p45)) % 0.36/0.56 (step @p50 :rule bool-impl-elim :args (@t6 @t15)) % 0.36/0.56 (step @p51 :rule trans :premises (@p50 @p49)) % 0.36/0.56 (step @p52 :rule cong :premises (@p51) :args (@t17)) % 0.36/0.56 (step @p53 :rule trans :premises (@p52 @p44)) % 0.36/0.56 (step @p54 :rule eq_resolve :premises (@p4 @p53)) % 0.36/0.56 (step @p55 :rule refl :args (@t33)) % 0.36/0.56 (step @p56 :rule refl :args (@t18)) % 0.36/0.56 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t18 @t33))) % 0.36/0.56 (step @p58 :rule symm :premises (@p57)) % 0.36/0.56 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 0.36/0.56 (step @p60 :rule refl :args (@t34)) % 0.36/0.56 (step @p61 :rule refl :args (@t19)) % 0.36/0.56 (step @p62 :rule cong :premises (@p61 @p60) :args ((= @t19 @t34))) % 0.36/0.56 (step @p63 :rule symm :premises (@p62)) % 0.36/0.56 (step @p64 :rule eq_resolve :premises (@p61 @p63)) % 0.36/0.56 (step @p65 :rule cong :premises (@p64) :args (@t35)) % 0.36/0.56 (step @p66 :rule nary_cong :premises (@p65 @p59) :args (@t36)) % 0.36/0.56 (step @p67 :rule cong :premises (@p66) :args ((forall @t7 @t36))) % 0.36/0.56 (step @p68 :rule bool-impl-elim :args (@t19 @t18)) % 0.36/0.56 (step @p69 :rule cong :premises (@p68) :args (@t20)) % 0.36/0.56 (step @p70 :rule trans :premises (@p69 @p67)) % 0.36/0.56 (step @p71 :rule eq_resolve :premises (@p5 @p70)) % 0.36/0.56 (step @p72 :rule instantiate :premises (@p71) :args ((@list tptp.z tptp.u))) % 0.36/0.56 (step @p73 :rule refl :args (@t37)) % 0.36/0.56 (step @p74 :rule refl :args (@t2)) % 0.36/0.56 (step @p75 :rule cong :premises (@p74 @p73) :args ((= @t2 @t37))) % 0.36/0.56 (step @p76 :rule symm :premises (@p75)) % 0.36/0.56 (step @p77 :rule eq_resolve :premises (@p74 @p76)) % 0.36/0.56 (step @p78 :rule eq_resolve :premises (@p2 @p77)) % 0.36/0.56 (step @p79 :rule cnf_or_pos :args (@t40)) % 0.36/0.56 (step @p80 :rule reordering :premises (@p79) :args ((or @t39 @t38 (not @t40)))) % 0.36/0.56 (step @p81 :rule chain_m_resolution :premises (@p80 @p78 @p72) :args (@t38 @t41 (@list @t37 @t40))) % 0.36/0.56 (step @p82 :rule instantiate :premises (@p71) :args ((@list tptp.x tptp.y))) % 0.36/0.56 (step @p83 :rule refl :args (@t42)) % 0.36/0.56 (step @p84 :rule refl :args (@t1)) % 0.36/0.56 (step @p85 :rule cong :premises (@p84 @p83) :args ((= @t1 @t42))) % 0.36/0.56 (step @p86 :rule symm :premises (@p85)) % 0.36/0.56 (step @p87 :rule eq_resolve :premises (@p84 @p86)) % 0.36/0.56 (step @p88 :rule eq_resolve :premises (@p1 @p87)) % 0.36/0.56 (step @p89 :rule cnf_or_pos :args (@t45)) % 0.36/0.56 (step @p90 :rule reordering :premises (@p89) :args ((or @t44 @t43 (not @t45)))) % 0.36/0.56 (step @p91 :rule chain_m_resolution :premises (@p90 @p88 @p82) :args (@t43 @t41 (@list @t42 @t45))) % 0.36/0.56 (step @p92 :rule refl :args (@t46)) % 0.36/0.56 (step @p93 :rule refl :args (@t5)) % 0.36/0.56 (step @p94 :rule cong :premises (@p93 @p92) :args ((= @t5 @t46))) % 0.36/0.56 (step @p95 :rule symm :premises (@p94)) % 0.36/0.56 (step @p96 :rule eq_resolve :premises (@p93 @p95)) % 0.36/0.56 (step @p97 :rule nary_cong :premises (@p42 @p96) :args (@t47)) % 0.36/0.56 (step @p98 :rule cong :premises (@p97) :args ((forall @t7 @t47))) % 0.36/0.56 (step @p99 :rule bool-impl-elim :args (@t6 @t5)) % 0.36/0.56 (step @p100 :rule cong :premises (@p99) :args (@t8)) % 0.36/0.56 (step @p101 :rule trans :premises (@p100 @p98)) % 0.36/0.56 (step @p102 :rule eq_resolve :premises (@p3 @p101)) % 0.36/0.56 (step @p103 :rule instantiate :premises (@p102) :args ((@list @t49 @t48))) % 0.36/0.56 (step @p104 :rule refl :args ((tptp.lessis @t22 @t21))) % 0.36/0.56 (step @p105 :rule refl :args (@t49)) % 0.36/0.56 (step @p106 :rule refl :args (@t48)) % 0.36/0.56 (step @p107 :rule cong :premises (@p106 @p105) :args (@t50)) % 0.36/0.56 (step @p108 :rule trans :premises (@p107 @p104)) % 0.36/0.56 (step @p109 :rule refl :args (tptp.lessis)) % 0.36/0.56 (step @p110 :rule ho_cong :premises (@p109 @p106)) % 0.36/0.56 (step @p111 :rule ho_cong :premises (@p110 @p105)) % 0.36/0.56 (step @p112 :rule cong :premises (@p111 @p108) :args ((= (_ (_ tptp.lessis @t48) @t49) @t50))) % 0.36/0.56 (step @p113 :rule symm :premises (@p112)) % 0.36/0.56 (step @p114 :rule refl :args (@t23)) % 0.36/0.56 (step @p115 :rule eq_resolve :premises (@p114 @p113)) % 0.36/0.56 (step @p116 :rule refl :args (@t21)) % 0.36/0.56 (step @p117 :rule cong :premises (@p116 @p105) :args ((= @t21 @t49))) % 0.36/0.56 (step @p118 :rule symm :premises (@p117)) % 0.36/0.56 (step @p119 :rule eq_resolve :premises (@p116 @p118)) % 0.36/0.56 (step @p120 :rule refl :args (@t22)) % 0.36/0.56 (step @p121 :rule cong :premises (@p120 @p106) :args ((= @t22 @t48))) % 0.36/0.56 (step @p122 :rule symm :premises (@p121)) % 0.36/0.56 (step @p123 :rule eq_resolve :premises (@p120 @p122)) % 0.36/0.56 (step @p124 :rule refl :args (tptp.lessis)) % 0.36/0.56 (step @p125 :rule ho_cong :premises (@p124 @p123)) % 0.36/0.56 (step @p126 :rule ho_cong :premises (@p125 @p119)) % 0.36/0.56 (step @p127 :rule trans :premises (@p126 @p115)) % 0.36/0.56 (step @p128 :rule cong :premises (@p127) :args (@t24)) % 0.36/0.56 (step @p129 :rule eq_resolve :premises (@p6 @p128)) % 0.36/0.56 (step @p130 :rule cnf_or_pos :args (@t53)) % 0.36/0.56 (step @p131 :rule reordering :premises (@p130) :args ((or @t50 @t52 (not @t53)))) % 0.36/0.56 (step @p132 :rule chain_m_resolution :premises (@p131 @p129 @p103) :args (@t52 @t54 (@list @t50 @t53))) % 0.36/0.56 (step @p133 :rule cnf_or_pos :args (@t57)) % 0.36/0.56 (step @p134 :rule reordering :premises (@p133) :args ((or @t51 @t56 @t55 @t58))) % 0.36/0.56 (step @p135 :rule chain_m_resolution :premises (@p134 @p132 @p91 @p81) :args (@t58 (@list true false false) (@list @t51 @t43 @t38))) % 0.36/0.56 (assume-push @p142 @t59) % 0.36/0.56 (step @p137 :rule instantiate :premises (@p54) :args ((@list tptp.y tptp.x tptp.u tptp.z))) % 0.36/0.56 (step-pop @p143 :rule scope :premises (@p137)) % 0.36/0.56 (step @p138 :rule process_scope :premises (@p143) :args (@t57)) % 0.36/0.56 (step @p140 :rule implies_elim :premises (@p138)) % 0.36/0.56 (step @p141 false :rule chain_m_resolution :premises (@p140 @p135 @p54) :args (false @t54 (@list @t57 @t59))) % 0.36/0.56 ) % 0.36/0.56 % SZS output end Proof % 0.36/0.56 % cvc5 exiting %------------------------------------------------------------------------------