%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM655^1 : 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 : n002.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 08:40:13 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 : NUM655^1 : 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 % 0.15/0.34 % Computer : n002.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 11:44:48 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.less (-> tptp.nat tptp.nat Bool)) % 0.30/0.54 (declare-const tptp.x tptp.nat) % 0.30/0.54 (declare-const tptp.more (-> tptp.nat tptp.nat Bool)) % 0.30/0.54 (declare-const tptp.y tptp.nat) % 0.30/0.54 (define @t1 () (_ (_ tptp.less tptp.x) tptp.y)) % 0.30/0.54 (define @t2 () (not @t1)) % 0.30/0.54 (define @t3 () (@var "Xa" Bool)) % 0.30/0.54 (define @t4 () (@var "Xy" tptp.nat)) % 0.30/0.54 (define @t5 () (@var "Xx" tptp.nat)) % 0.30/0.54 (define @t6 () (_ (_ tptp.less @t5) @t4)) % 0.30/0.54 (define @t7 () (_ (_ tptp.more @t5) @t4)) % 0.30/0.54 (define @t8 () (not @t7)) % 0.30/0.54 (define @t9 () (=> @t8 @t6)) % 0.30/0.54 (define @t10 () (= @t5 @t4)) % 0.30/0.54 (define @t11 () (not @t10)) % 0.30/0.54 (define @t12 () (@list @t5 @t4)) % 0.30/0.54 (define @t13 () (forall @t12 (=> @t11 @t9))) % 0.30/0.54 (define @t14 () (= tptp.x tptp.y)) % 0.30/0.54 (define @t15 () (_ (_ tptp.more tptp.x) tptp.y)) % 0.30/0.54 (define @t16 () (not @t15)) % 0.30/0.54 (define @t17 () (=> @t16 @t14)) % 0.30/0.54 (define @t18 () (not @t17)) % 0.30/0.54 (define @t19 () (tptp.less @t5 @t4)) % 0.30/0.54 (define @t20 () (tptp.more @t5 @t4)) % 0.30/0.54 (define @t21 () (or @t10 @t7 @t6)) % 0.30/0.54 (define @t22 () (tptp.more tptp.x tptp.y)) % 0.30/0.54 (define @t23 () (tptp.less tptp.x tptp.y)) % 0.30/0.54 (define @t24 () (or @t14 @t22 @t23)) % 0.30/0.54 (define @t25 () (not @t24)) % 0.30/0.54 (define @t26 () (forall @t12 (or @t10 @t20 @t19))) % 0.30/0.54 (assume @p1 @t2) % 0.30/0.54 (assume @p2 (forall (@list @t3) (=> (not (not @t3)) @t3))) % 0.30/0.54 (assume @p3 @t13) % 0.30/0.54 (assume @p4 @t18) % 0.30/0.54 (assume @p5 true) % 0.30/0.54 (step @p6 :rule refl :args (@t19)) % 0.30/0.54 (step @p7 :rule refl :args (@t6)) % 0.30/0.54 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t6 @t19))) % 0.30/0.54 (step @p9 :rule symm :premises (@p8)) % 0.30/0.54 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.30/0.54 (step @p11 :rule refl :args (@t20)) % 0.30/0.54 (step @p12 :rule refl :args (@t7)) % 0.30/0.54 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t7 @t20))) % 0.30/0.54 (step @p14 :rule symm :premises (@p13)) % 0.30/0.54 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.30/0.54 (step @p16 :rule refl :args (@t10)) % 0.30/0.54 (step @p17 :rule nary_cong :premises (@p16 @p15 @p10) :args (@t21)) % 0.30/0.54 (step @p18 :rule cong :premises (@p17) :args ((forall @t12 @t21))) % 0.30/0.54 (step @p19 :rule aci_norm :args ((= (or @t10 (or @t7 @t6)) @t21))) % 0.30/0.54 (step @p20 :rule bool-double-not-elim :args (@t7)) % 0.30/0.54 (step @p21 :rule nary_cong :premises (@p20 @p7) :args ((or (not @t8) @t6))) % 0.30/0.54 (step @p22 :rule bool-impl-elim :args (@t8 @t6)) % 0.30/0.54 (step @p23 :rule trans :premises (@p22 @p21)) % 0.30/0.54 (step @p24 :rule nary_cong :premises (@p16 @p23) :args ((or @t10 @t9))) % 0.30/0.54 (step @p25 :rule trans :premises (@p24 @p19)) % 0.30/0.54 (step @p26 :rule refl :args (@t9)) % 0.30/0.54 (step @p27 :rule bool-double-not-elim :args (@t10)) % 0.30/0.54 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or (not @t11) @t9))) % 0.30/0.54 (step @p29 :rule bool-impl-elim :args (@t11 @t9)) % 0.30/0.54 (step @p30 :rule trans :premises (@p29 @p28)) % 0.30/0.54 (step @p31 :rule trans :premises (@p30 @p25)) % 0.30/0.54 (step @p32 :rule cong :premises (@p31) :args (@t13)) % 0.30/0.54 (step @p33 :rule trans :premises (@p32 @p18)) % 0.30/0.54 (step @p34 :rule eq_resolve :premises (@p3 @p33)) % 0.30/0.54 (step @p35 :rule refl :args (@t14)) % 0.30/0.54 (step @p36 :rule refl :args (@t22)) % 0.30/0.54 (step @p37 :rule refl :args (@t15)) % 0.30/0.54 (step @p38 :rule cong :premises (@p37 @p36) :args ((= @t15 @t22))) % 0.30/0.54 (step @p39 :rule symm :premises (@p38)) % 0.30/0.54 (step @p40 :rule eq_resolve :premises (@p37 @p39)) % 0.30/0.54 (step @p41 :rule cong :premises (@p40) :args (@t16)) % 0.30/0.54 (step @p42 :rule cong :premises (@p41 @p35) :args (@t17)) % 0.30/0.54 (step @p43 :rule cong :premises (@p42) :args (@t18)) % 0.30/0.54 (step @p44 :rule eq_resolve :premises (@p4 @p43)) % 0.30/0.54 (step @p45 :rule not_implies_elim1 :premises (@p44)) % 0.30/0.54 (step @p46 :rule refl :args (@t23)) % 0.30/0.54 (step @p47 :rule refl :args (@t1)) % 0.30/0.54 (step @p48 :rule cong :premises (@p47 @p46) :args ((= @t1 @t23))) % 0.30/0.54 (step @p49 :rule symm :premises (@p48)) % 0.30/0.54 (step @p50 :rule eq_resolve :premises (@p47 @p49)) % 0.30/0.54 (step @p51 :rule cong :premises (@p50) :args (@t2)) % 0.30/0.54 (step @p52 :rule eq_resolve :premises (@p1 @p51)) % 0.30/0.54 (step @p53 :rule not_implies_elim2 :premises (@p44)) % 0.30/0.54 (step @p54 :rule cnf_or_pos :args (@t24)) % 0.30/0.54 (step @p55 :rule reordering :premises (@p54) :args ((or @t14 @t23 @t22 @t25))) % 0.30/0.54 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p52 @p45) :args (@t25 (@list true true true) (@list @t14 @t23 @t22))) % 0.30/0.54 (assume-push @p63 @t26) % 0.30/0.54 (step @p58 :rule instantiate :premises (@p34) :args ((@list tptp.x tptp.y))) % 0.30/0.54 (step-pop @p64 :rule scope :premises (@p58)) % 0.30/0.54 (step @p59 :rule process_scope :premises (@p64) :args (@t24)) % 0.30/0.54 (step @p61 :rule implies_elim :premises (@p59)) % 0.30/0.54 (step @p62 false :rule chain_m_resolution :premises (@p61 @p56 @p34) :args (false (@list true false) (@list @t24 @t26))) % 0.30/0.54 ) % 0.30/0.54 % SZS output end Proof % 0.30/0.54 % cvc5 exiting %------------------------------------------------------------------------------