%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM740^1 : 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 : n020.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 08:40:31 AM UTC 2026 % Result : Theorem 0.32s 0.55s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM740^1 : TPTP v9.2.1. Released v3.7.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n020.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 12:08:25 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.49 %----Proving TH0 % 0.32/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.32/0.55 % SZS status Theorem % 0.32/0.55 % SZS output start Proof % 0.32/0.55 ( % 0.32/0.55 (declare-sort tptp.frac 0) % 0.32/0.55 (declare-const tptp.lessf (-> tptp.frac tptp.frac Bool)) % 0.32/0.55 (declare-const tptp.moref (-> tptp.frac tptp.frac Bool)) % 0.32/0.55 (declare-const tptp.eq (-> tptp.frac tptp.frac Bool)) % 0.32/0.55 (declare-const tptp.x tptp.frac) % 0.32/0.55 (declare-const tptp.y tptp.frac) % 0.32/0.55 (define @t1 () (_ (_ tptp.eq tptp.x) tptp.y)) % 0.32/0.55 (define @t2 () (_ (_ tptp.moref tptp.x) tptp.y)) % 0.32/0.55 (define @t3 () (not @t2)) % 0.32/0.55 (define @t4 () (=> @t3 @t1)) % 0.32/0.55 (define @t5 () (@var "Xx" tptp.frac)) % 0.32/0.55 (define @t6 () (@var "Xy" tptp.frac)) % 0.32/0.55 (define @t7 () (_ (_ tptp.eq @t6) @t5)) % 0.32/0.55 (define @t8 () (_ (_ tptp.eq @t5) @t6)) % 0.32/0.55 (define @t9 () (@list @t5 @t6)) % 0.32/0.55 (define @t10 () (forall @t9 (=> @t8 @t7))) % 0.32/0.55 (define @t11 () (_ (_ tptp.lessf @t6) @t5)) % 0.32/0.55 (define @t12 () (_ (_ tptp.moref @t5) @t6)) % 0.32/0.55 (define @t13 () (forall @t9 (=> @t12 @t11))) % 0.32/0.55 (define @t14 () (_ (_ tptp.eq tptp.y) tptp.x)) % 0.32/0.55 (define @t15 () (_ (_ tptp.lessf tptp.y) tptp.x)) % 0.32/0.55 (define @t16 () (not @t15)) % 0.32/0.55 (define @t17 () (=> @t16 @t14)) % 0.32/0.55 (define @t18 () (not @t17)) % 0.32/0.55 (define @t19 () (tptp.eq @t6 @t5)) % 0.32/0.55 (define @t20 () (tptp.eq @t5 @t6)) % 0.32/0.55 (define @t21 () (not @t8)) % 0.32/0.55 (define @t22 () (or @t21 @t7)) % 0.32/0.55 (define @t23 () (tptp.lessf @t6 @t5)) % 0.32/0.55 (define @t24 () (tptp.moref @t5 @t6)) % 0.32/0.55 (define @t25 () (not @t12)) % 0.32/0.55 (define @t26 () (or @t25 @t11)) % 0.32/0.55 (define @t27 () (@list tptp.x tptp.y)) % 0.32/0.55 (define @t28 () (tptp.eq tptp.y tptp.x)) % 0.32/0.55 (define @t29 () (tptp.lessf tptp.y tptp.x)) % 0.32/0.55 (define @t30 () (tptp.moref tptp.x tptp.y)) % 0.32/0.55 (define @t31 () (not @t30)) % 0.32/0.55 (define @t32 () (or @t31 @t29)) % 0.32/0.55 (define @t33 () (@list true false)) % 0.32/0.55 (define @t34 () (tptp.eq tptp.x tptp.y)) % 0.32/0.55 (define @t35 () (not @t34)) % 0.32/0.55 (define @t36 () (or @t35 @t28)) % 0.32/0.55 (define @t37 () (not @t36)) % 0.32/0.55 (define @t38 () (forall @t9 (or (not @t20) @t19))) % 0.32/0.55 (assume @p1 @t4) % 0.32/0.55 (assume @p2 @t10) % 0.32/0.55 (assume @p3 @t13) % 0.32/0.55 (assume @p4 @t18) % 0.32/0.55 (assume @p5 true) % 0.32/0.55 (step @p6 :rule refl :args (@t19)) % 0.32/0.55 (step @p7 :rule refl :args (@t7)) % 0.32/0.55 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t7 @t19))) % 0.32/0.55 (step @p9 :rule symm :premises (@p8)) % 0.32/0.55 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.32/0.55 (step @p11 :rule refl :args (@t20)) % 0.32/0.55 (step @p12 :rule refl :args (@t8)) % 0.32/0.55 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t8 @t20))) % 0.32/0.55 (step @p14 :rule symm :premises (@p13)) % 0.32/0.55 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.32/0.55 (step @p16 :rule cong :premises (@p15) :args (@t21)) % 0.32/0.55 (step @p17 :rule nary_cong :premises (@p16 @p10) :args (@t22)) % 0.32/0.55 (step @p18 :rule cong :premises (@p17) :args ((forall @t9 @t22))) % 0.32/0.55 (step @p19 :rule bool-impl-elim :args (@t8 @t7)) % 0.32/0.55 (step @p20 :rule cong :premises (@p19) :args (@t10)) % 0.32/0.55 (step @p21 :rule trans :premises (@p20 @p18)) % 0.32/0.55 (step @p22 :rule eq_resolve :premises (@p2 @p21)) % 0.32/0.55 (step @p23 :rule refl :args (@t23)) % 0.32/0.55 (step @p24 :rule refl :args (@t11)) % 0.32/0.55 (step @p25 :rule cong :premises (@p24 @p23) :args ((= @t11 @t23))) % 0.32/0.55 (step @p26 :rule symm :premises (@p25)) % 0.32/0.55 (step @p27 :rule eq_resolve :premises (@p24 @p26)) % 0.32/0.55 (step @p28 :rule refl :args (@t24)) % 0.32/0.55 (step @p29 :rule refl :args (@t12)) % 0.32/0.55 (step @p30 :rule cong :premises (@p29 @p28) :args ((= @t12 @t24))) % 0.32/0.55 (step @p31 :rule symm :premises (@p30)) % 0.32/0.55 (step @p32 :rule eq_resolve :premises (@p29 @p31)) % 0.32/0.55 (step @p33 :rule cong :premises (@p32) :args (@t25)) % 0.32/0.55 (step @p34 :rule nary_cong :premises (@p33 @p27) :args (@t26)) % 0.32/0.55 (step @p35 :rule cong :premises (@p34) :args ((forall @t9 @t26))) % 0.32/0.55 (step @p36 :rule bool-impl-elim :args (@t12 @t11)) % 0.32/0.55 (step @p37 :rule cong :premises (@p36) :args (@t13)) % 0.32/0.55 (step @p38 :rule trans :premises (@p37 @p35)) % 0.32/0.55 (step @p39 :rule eq_resolve :premises (@p3 @p38)) % 0.32/0.55 (step @p40 :rule instantiate :premises (@p39) :args (@t27)) % 0.32/0.55 (step @p41 :rule refl :args (@t28)) % 0.32/0.55 (step @p42 :rule refl :args (@t14)) % 0.32/0.55 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t14 @t28))) % 0.32/0.55 (step @p44 :rule symm :premises (@p43)) % 0.32/0.55 (step @p45 :rule eq_resolve :premises (@p42 @p44)) % 0.32/0.55 (step @p46 :rule refl :args (@t29)) % 0.32/0.55 (step @p47 :rule refl :args (@t15)) % 0.32/0.55 (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t15 @t29))) % 0.32/0.55 (step @p49 :rule symm :premises (@p48)) % 0.32/0.55 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 0.32/0.55 (step @p51 :rule cong :premises (@p50) :args (@t16)) % 0.32/0.55 (step @p52 :rule cong :premises (@p51 @p45) :args (@t17)) % 0.32/0.55 (step @p53 :rule cong :premises (@p52) :args (@t18)) % 0.32/0.55 (step @p54 :rule eq_resolve :premises (@p4 @p53)) % 0.32/0.55 (step @p55 :rule not_implies_elim1 :premises (@p54)) % 0.32/0.55 (step @p56 :rule cnf_or_pos :args (@t32)) % 0.32/0.55 (step @p57 :rule reordering :premises (@p56) :args ((or @t31 @t29 (not @t32)))) % 0.32/0.55 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p40) :args (@t31 @t33 (@list @t29 @t32))) % 0.32/0.55 (step @p59 :rule refl :args (@t34)) % 0.32/0.55 (step @p60 :rule bool-double-not-elim :args (@t30)) % 0.32/0.55 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or (not @t31) @t34))) % 0.32/0.55 (step @p62 :rule refl :args (@t34)) % 0.32/0.55 (step @p63 :rule refl :args (@t1)) % 0.32/0.55 (step @p64 :rule cong :premises (@p63 @p62) :args ((= @t1 @t34))) % 0.32/0.55 (step @p65 :rule symm :premises (@p64)) % 0.32/0.55 (step @p66 :rule eq_resolve :premises (@p63 @p65)) % 0.32/0.55 (step @p67 :rule refl :args (@t30)) % 0.32/0.55 (step @p68 :rule refl :args (@t2)) % 0.32/0.55 (step @p69 :rule cong :premises (@p68 @p67) :args ((= @t2 @t30))) % 0.32/0.55 (step @p70 :rule symm :premises (@p69)) % 0.32/0.55 (step @p71 :rule eq_resolve :premises (@p68 @p70)) % 0.32/0.55 (step @p72 :rule cong :premises (@p71) :args (@t3)) % 0.32/0.55 (step @p73 :rule cong :premises (@p72 @p66) :args (@t4)) % 0.32/0.55 (step @p74 :rule eq_resolve :premises (@p1 @p73)) % 0.32/0.55 (step @p75 :rule implies_elim :premises (@p74)) % 0.32/0.55 (step @p76 :rule eq_resolve :premises (@p75 @p61)) % 0.32/0.55 (step @p77 :rule reordering :premises (@p76) :args ((or @t34 @t30))) % 0.32/0.55 (step @p78 :rule chain_m_resolution :premises (@p77 @p58) :args (@t34 (@list true) (@list @t30))) % 0.32/0.55 (step @p79 :rule not_implies_elim2 :premises (@p54)) % 0.32/0.55 (step @p80 :rule cnf_or_pos :args (@t36)) % 0.32/0.55 (step @p81 :rule reordering :premises (@p80) :args ((or @t28 @t35 @t37))) % 0.32/0.55 (step @p82 :rule chain_m_resolution :premises (@p81 @p79 @p78) :args (@t37 @t33 (@list @t28 @t34))) % 0.32/0.55 (assume-push @p89 @t38) % 0.32/0.55 (step @p84 :rule instantiate :premises (@p22) :args (@t27)) % 0.32/0.55 (step-pop @p90 :rule scope :premises (@p84)) % 0.32/0.55 (step @p85 :rule process_scope :premises (@p90) :args (@t36)) % 0.32/0.55 (step @p87 :rule implies_elim :premises (@p85)) % 0.32/0.55 (step @p88 false :rule chain_m_resolution :premises (@p87 @p82 @p22) :args (false @t33 (@list @t36 @t38))) % 0.32/0.55 ) % 0.32/0.55 % SZS output end Proof % 0.32/0.55 % cvc5 exiting %------------------------------------------------------------------------------