%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM664^1 : 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 : n021.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 08:40:17 AM UTC 2026 % Result : Theorem 0.30s 0.54s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM664^1 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n021.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 11:48:35 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TH0 % 0.30/0.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.30/0.54 % SZS status Theorem % 0.30/0.54 % SZS output start Proof % 0.30/0.54 ( % 0.30/0.54 (declare-sort tptp.nat 0) % 0.30/0.54 (declare-const tptp.z tptp.nat) % 0.30/0.54 (declare-const tptp.less (-> tptp.nat tptp.nat Bool)) % 0.30/0.54 (declare-const tptp.x tptp.nat) % 0.30/0.54 (declare-const tptp.y tptp.nat) % 0.30/0.54 (define @t1 () (_ tptp.less tptp.x)) % 0.30/0.54 (define @t2 () (_ @t1 tptp.y)) % 0.30/0.54 (define @t3 () (= tptp.y tptp.z)) % 0.30/0.54 (define @t4 () (_ (_ tptp.less tptp.y) tptp.z)) % 0.30/0.54 (define @t5 () (not @t4)) % 0.30/0.54 (define @t6 () (=> @t5 @t3)) % 0.30/0.54 (define @t7 () (@var "Xa" Bool)) % 0.30/0.54 (define @t8 () (@var "Xz" tptp.nat)) % 0.30/0.54 (define @t9 () (@var "Xx" tptp.nat)) % 0.30/0.54 (define @t10 () (_ tptp.less @t9)) % 0.30/0.54 (define @t11 () (_ @t10 @t8)) % 0.30/0.54 (define @t12 () (@var "Xy" tptp.nat)) % 0.30/0.54 (define @t13 () (_ (_ tptp.less @t12) @t8)) % 0.30/0.54 (define @t14 () (=> @t13 @t11)) % 0.30/0.54 (define @t15 () (_ @t10 @t12)) % 0.30/0.54 (define @t16 () (@list @t9 @t12 @t8)) % 0.30/0.54 (define @t17 () (forall @t16 (=> @t15 @t14))) % 0.30/0.54 (define @t18 () (_ @t1 tptp.z)) % 0.30/0.54 (define @t19 () (not @t18)) % 0.30/0.54 (define @t20 () (tptp.less tptp.x tptp.y)) % 0.30/0.54 (define @t21 () (tptp.less @t9 @t8)) % 0.30/0.54 (define @t22 () (tptp.less @t12 @t8)) % 0.30/0.54 (define @t23 () (not @t13)) % 0.30/0.54 (define @t24 () (tptp.less @t9 @t12)) % 0.30/0.54 (define @t25 () (not @t15)) % 0.30/0.54 (define @t26 () (or @t25 @t23 @t11)) % 0.30/0.54 (define @t27 () (tptp.less tptp.x tptp.z)) % 0.30/0.54 (define @t28 () (tptp.less tptp.y tptp.z)) % 0.30/0.54 (define @t29 () (not @t28)) % 0.30/0.54 (define @t30 () (not @t20)) % 0.30/0.54 (define @t31 () (or @t30 @t29 @t27)) % 0.30/0.54 (assume @p1 @t2) % 0.30/0.54 (assume @p2 @t6) % 0.30/0.54 (assume @p3 (forall (@list @t7) (=> (not (not @t7)) @t7))) % 0.30/0.54 (assume @p4 @t17) % 0.30/0.54 (assume @p5 @t19) % 0.30/0.54 (assume @p6 true) % 0.30/0.54 (step @p7 :rule evaluate :args ((= false true))) % 0.30/0.54 (step @p8 :rule refl :args (@t20)) % 0.30/0.54 (step @p9 :rule refl :args (@t2)) % 0.30/0.54 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t2 @t20))) % 0.30/0.54 (step @p11 :rule symm :premises (@p10)) % 0.30/0.54 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.30/0.54 (step @p13 :rule eq_resolve :premises (@p1 @p12)) % 0.30/0.54 (step @p14 :rule true_intro :premises (@p13)) % 0.30/0.54 (step @p15 :rule refl :args (@t21)) % 0.30/0.54 (step @p16 :rule refl :args (@t11)) % 0.30/0.54 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t11 @t21))) % 0.30/0.54 (step @p18 :rule symm :premises (@p17)) % 0.30/0.54 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.30/0.54 (step @p20 :rule refl :args (@t22)) % 0.30/0.54 (step @p21 :rule refl :args (@t13)) % 0.30/0.54 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t13 @t22))) % 0.30/0.54 (step @p23 :rule symm :premises (@p22)) % 0.30/0.54 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.30/0.54 (step @p25 :rule cong :premises (@p24) :args (@t23)) % 0.30/0.54 (step @p26 :rule refl :args (@t24)) % 0.30/0.54 (step @p27 :rule refl :args (@t15)) % 0.30/0.54 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t15 @t24))) % 0.30/0.54 (step @p29 :rule symm :premises (@p28)) % 0.30/0.54 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.30/0.54 (step @p31 :rule cong :premises (@p30) :args (@t25)) % 0.30/0.54 (step @p32 :rule nary_cong :premises (@p31 @p25 @p19) :args (@t26)) % 0.30/0.54 (step @p33 :rule cong :premises (@p32) :args ((forall @t16 @t26))) % 0.30/0.54 (step @p34 :rule aci_norm :args ((= (or @t25 (or @t23 @t11)) @t26))) % 0.30/0.54 (step @p35 :rule bool-impl-elim :args (@t13 @t11)) % 0.30/0.54 (step @p36 :rule refl :args (@t25)) % 0.30/0.54 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t25 @t14))) % 0.30/0.54 (step @p38 :rule trans :premises (@p37 @p34)) % 0.30/0.54 (step @p39 :rule bool-impl-elim :args (@t15 @t14)) % 0.30/0.54 (step @p40 :rule trans :premises (@p39 @p38)) % 0.30/0.54 (step @p41 :rule cong :premises (@p40) :args (@t17)) % 0.30/0.54 (step @p42 :rule trans :premises (@p41 @p33)) % 0.30/0.54 (step @p43 :rule eq_resolve :premises (@p4 @p42)) % 0.30/0.54 (step @p44 :rule instantiate :premises (@p43) :args ((@list tptp.x tptp.y tptp.z))) % 0.30/0.54 (step @p45 :rule refl :args (@t27)) % 0.30/0.54 (step @p46 :rule refl :args (@t18)) % 0.30/0.54 (step @p47 :rule cong :premises (@p46 @p45) :args ((= @t18 @t27))) % 0.30/0.54 (step @p48 :rule symm :premises (@p47)) % 0.30/0.54 (step @p49 :rule eq_resolve :premises (@p46 @p48)) % 0.30/0.54 (step @p50 :rule cong :premises (@p49) :args (@t19)) % 0.30/0.54 (step @p51 :rule eq_resolve :premises (@p5 @p50)) % 0.30/0.54 (step @p52 :rule cnf_or_pos :args (@t31)) % 0.30/0.54 (step @p53 :rule reordering :premises (@p52) :args ((or @t29 @t27 @t30 (not @t31)))) % 0.30/0.54 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p13 @p44) :args (@t29 (@list true false false) (@list @t27 @t20 @t31))) % 0.30/0.55 (step @p55 :rule refl :args (@t3)) % 0.30/0.55 (step @p56 :rule bool-double-not-elim :args (@t28)) % 0.30/0.55 (step @p57 :rule nary_cong :premises (@p56 @p55) :args ((or (not @t29) @t3))) % 0.30/0.55 (step @p58 :rule refl :args (@t28)) % 0.30/0.55 (step @p59 :rule refl :args (@t4)) % 0.30/0.55 (step @p60 :rule cong :premises (@p59 @p58) :args ((= @t4 @t28))) % 0.30/0.55 (step @p61 :rule symm :premises (@p60)) % 0.30/0.55 (step @p62 :rule eq_resolve :premises (@p59 @p61)) % 0.30/0.55 (step @p63 :rule cong :premises (@p62) :args (@t5)) % 0.30/0.55 (step @p64 :rule cong :premises (@p63 @p55) :args (@t6)) % 0.30/0.55 (step @p65 :rule eq_resolve :premises (@p2 @p64)) % 0.30/0.55 (step @p66 :rule implies_elim :premises (@p65)) % 0.30/0.55 (step @p67 :rule eq_resolve :premises (@p66 @p57)) % 0.30/0.55 (step @p68 :rule reordering :premises (@p67) :args ((or @t3 @t28))) % 0.30/0.55 (step @p69 :rule chain_m_resolution :premises (@p68 @p54) :args (@t3 (@list true) (@list @t28))) % 0.30/0.55 (step @p70 :rule symm :premises (@p69)) % 0.30/0.55 (step @p71 :rule refl :args (tptp.x)) % 0.30/0.55 (step @p72 :rule cong :premises (@p71 @p70) :args (@t27)) % 0.30/0.55 (step @p73 :rule false_intro :premises (@p51)) % 0.30/0.55 (step @p74 :rule symm :premises (@p73)) % 0.30/0.55 (step @p75 :rule trans :premises (@p74 @p72 @p14)) % 0.30/0.55 (step @p76 false :rule eq_resolve :premises (@p75 @p7)) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------