%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM694^1 : 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 : n024.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 08:40:24 AM UTC 2026 % Result : Theorem 0.16s 0.36s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : NUM694^1 : TPTP v9.2.1. Released v3.7.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 06:57:00 EDT 2026 % 0.08/0.25 % CPUTime : % 0.08/0.33 %----Proving TH0 % 0.16/0.36 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.16/0.36 % SZS status Theorem % 0.16/0.36 % SZS output start Proof % 0.16/0.36 ( % 0.16/0.36 (declare-sort tptp.nat 0) % 0.16/0.36 (declare-const tptp.x tptp.nat) % 0.16/0.36 (declare-const tptp.n_1 tptp.nat) % 0.16/0.36 (declare-const tptp.moreis (-> tptp.nat tptp.nat Bool)) % 0.16/0.36 (declare-const tptp.lessis (-> tptp.nat tptp.nat Bool)) % 0.16/0.36 (define @t1 () (@var "Xx" tptp.nat)) % 0.16/0.36 (define @t2 () (@var "Xy" tptp.nat)) % 0.16/0.36 (define @t3 () (_ (_ tptp.lessis @t2) @t1)) % 0.16/0.36 (define @t4 () (_ tptp.moreis @t1)) % 0.16/0.36 (define @t5 () (_ @t4 @t2)) % 0.16/0.36 (define @t6 () (@list @t1 @t2)) % 0.16/0.36 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.16/0.36 (define @t8 () (_ @t4 tptp.n_1)) % 0.16/0.36 (define @t9 () (@list @t1)) % 0.16/0.36 (define @t10 () (forall @t9 @t8)) % 0.16/0.36 (define @t11 () (_ (_ tptp.lessis tptp.n_1) tptp.x)) % 0.16/0.36 (define @t12 () (not @t11)) % 0.16/0.36 (define @t13 () (tptp.moreis @t1 tptp.n_1)) % 0.16/0.36 (define @t14 () (tptp.lessis @t2 @t1)) % 0.16/0.36 (define @t15 () (tptp.moreis @t1 @t2)) % 0.16/0.36 (define @t16 () (not @t5)) % 0.16/0.36 (define @t17 () (or @t16 @t3)) % 0.16/0.36 (define @t18 () (tptp.lessis tptp.n_1 tptp.x)) % 0.16/0.36 (define @t19 () (tptp.moreis tptp.x tptp.n_1)) % 0.16/0.36 (define @t20 () (not @t19)) % 0.16/0.36 (define @t21 () (or @t20 @t18)) % 0.16/0.36 (define @t22 () (@list true false)) % 0.16/0.36 (define @t23 () (forall @t9 @t13)) % 0.16/0.36 (assume @p1 @t7) % 0.16/0.36 (assume @p2 @t10) % 0.16/0.36 (assume @p3 @t12) % 0.16/0.36 (assume @p4 true) % 0.16/0.36 (step @p5 :rule refl :args (@t13)) % 0.16/0.36 (step @p6 :rule refl :args (@t8)) % 0.16/0.36 (step @p7 :rule cong :premises (@p6 @p5) :args ((= @t8 @t13))) % 0.16/0.36 (step @p8 :rule symm :premises (@p7)) % 0.16/0.36 (step @p9 :rule eq_resolve :premises (@p6 @p8)) % 0.16/0.36 (step @p10 :rule cong :premises (@p9) :args (@t10)) % 0.16/0.36 (step @p11 :rule eq_resolve :premises (@p2 @p10)) % 0.16/0.36 (step @p12 :rule refl :args (@t14)) % 0.16/0.36 (step @p13 :rule refl :args (@t3)) % 0.16/0.36 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t3 @t14))) % 0.16/0.36 (step @p15 :rule symm :premises (@p14)) % 0.16/0.36 (step @p16 :rule eq_resolve :premises (@p13 @p15)) % 0.16/0.36 (step @p17 :rule refl :args (@t15)) % 0.16/0.36 (step @p18 :rule refl :args (@t5)) % 0.16/0.36 (step @p19 :rule cong :premises (@p18 @p17) :args ((= @t5 @t15))) % 0.16/0.36 (step @p20 :rule symm :premises (@p19)) % 0.16/0.36 (step @p21 :rule eq_resolve :premises (@p18 @p20)) % 0.16/0.36 (step @p22 :rule cong :premises (@p21) :args (@t16)) % 0.16/0.36 (step @p23 :rule nary_cong :premises (@p22 @p16) :args (@t17)) % 0.16/0.36 (step @p24 :rule cong :premises (@p23) :args ((forall @t6 @t17))) % 0.16/0.36 (step @p25 :rule bool-impl-elim :args (@t5 @t3)) % 0.16/0.36 (step @p26 :rule cong :premises (@p25) :args (@t7)) % 0.16/0.36 (step @p27 :rule trans :premises (@p26 @p24)) % 0.16/0.36 (step @p28 :rule eq_resolve :premises (@p1 @p27)) % 0.16/0.36 (step @p29 :rule instantiate :premises (@p28) :args ((@list tptp.x tptp.n_1))) % 0.16/0.36 (step @p30 :rule refl :args (@t18)) % 0.16/0.36 (step @p31 :rule refl :args (@t11)) % 0.16/0.36 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t11 @t18))) % 0.16/0.36 (step @p33 :rule symm :premises (@p32)) % 0.16/0.36 (step @p34 :rule eq_resolve :premises (@p31 @p33)) % 0.16/0.36 (step @p35 :rule cong :premises (@p34) :args (@t12)) % 0.16/0.36 (step @p36 :rule eq_resolve :premises (@p3 @p35)) % 0.16/0.36 (step @p37 :rule cnf_or_pos :args (@t21)) % 0.16/0.36 (step @p38 :rule reordering :premises (@p37) :args ((or @t18 @t20 (not @t21)))) % 0.16/0.36 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p29) :args (@t20 @t22 (@list @t18 @t21))) % 0.16/0.36 (assume-push @p46 @t23) % 0.16/0.36 (step @p41 :rule instantiate :premises (@p11) :args ((@list tptp.x))) % 0.16/0.36 (step-pop @p47 :rule scope :premises (@p41)) % 0.16/0.36 (step @p42 :rule process_scope :premises (@p47) :args (@t19)) % 0.16/0.36 (step @p44 :rule implies_elim :premises (@p42)) % 0.16/0.36 (step @p45 false :rule chain_m_resolution :premises (@p44 @p39 @p11) :args (false @t22 (@list @t19 @t23))) % 0.16/0.36 ) % 0.16/0.36 % SZS output end Proof % 0.16/0.36 % cvc5 exiting 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