%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM695^1 : 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 : n010.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 0.31s 0.54s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM695^1 : 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 : n010.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 11:56:55 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.48 %----Proving TH0 % 0.31/0.54 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.31/0.54 % SZS status Theorem % 0.31/0.54 % SZS output start Proof % 0.31/0.54 ( % 0.31/0.54 (declare-sort tptp.nat 0) % 0.31/0.54 (declare-const tptp.x tptp.nat) % 0.31/0.54 (declare-const tptp.more (-> tptp.nat tptp.nat Bool)) % 0.31/0.54 (declare-const tptp.pl (-> tptp.nat tptp.nat tptp.nat)) % 0.31/0.54 (declare-const tptp.n_1 tptp.nat) % 0.31/0.54 (declare-const tptp.suc (-> tptp.nat tptp.nat)) % 0.31/0.54 (define @t1 () (@var "Xa" Bool)) % 0.31/0.54 (define @t2 () (@var "Xx_0" tptp.nat)) % 0.31/0.54 (define @t3 () (@var "Xx" tptp.nat)) % 0.31/0.54 (define @t4 () (@list @t3)) % 0.31/0.54 (define @t5 () (_ tptp.suc @t3)) % 0.31/0.54 (define @t6 () (@var "Xy" tptp.nat)) % 0.31/0.54 (define @t7 () (_ (_ tptp.pl @t3) @t6)) % 0.31/0.54 (define @t8 () (_ (_ tptp.more @t7) @t3)) % 0.31/0.54 (define @t9 () (@list @t3 @t6)) % 0.31/0.54 (define @t10 () (forall @t9 @t8)) % 0.31/0.54 (define @t11 () (_ (_ tptp.pl tptp.n_1) @t3)) % 0.31/0.54 (define @t12 () (= @t5 @t11)) % 0.31/0.54 (define @t13 () (forall @t4 @t12)) % 0.31/0.54 (define @t14 () (_ tptp.suc tptp.x)) % 0.31/0.54 (define @t15 () (_ (_ tptp.more @t14) tptp.n_1)) % 0.31/0.54 (define @t16 () (not @t15)) % 0.31/0.54 (define @t17 () (tptp.pl @t3 @t6)) % 0.31/0.54 (define @t18 () (tptp.more @t17 @t3)) % 0.31/0.54 (define @t19 () (tptp.suc tptp.x)) % 0.31/0.54 (define @t20 () (tptp.more @t19 tptp.n_1)) % 0.31/0.54 (define @t21 () (tptp.pl tptp.n_1 @t3)) % 0.31/0.54 (define @t22 () (tptp.suc @t3)) % 0.31/0.54 (define @t23 () (tptp.more (tptp.pl tptp.n_1 tptp.x) tptp.n_1)) % 0.31/0.54 (define @t24 () (forall @t9 @t18)) % 0.31/0.54 (assume @p1 (forall (@list @t1) (=> (not (not @t1)) @t1))) % 0.31/0.54 (assume @p2 (forall @t4 (=> (not (= @t3 tptp.n_1)) (not (forall (@list @t2) (not (= @t3 (_ tptp.suc @t2)))))))) % 0.31/0.54 (assume @p3 (forall @t4 (not (= @t5 tptp.n_1)))) % 0.31/0.54 (assume @p4 @t10) % 0.31/0.54 (assume @p5 @t13) % 0.31/0.54 (assume @p6 @t16) % 0.31/0.54 (assume @p7 true) % 0.31/0.54 (step @p8 :rule refl :args ((tptp.more @t7 @t3))) % 0.31/0.54 (step @p9 :rule refl :args (@t3)) % 0.31/0.54 (step @p10 :rule refl :args (@t17)) % 0.31/0.54 (step @p11 :rule cong :premises (@p10 @p9) :args (@t18)) % 0.31/0.54 (step @p12 :rule trans :premises (@p11 @p8)) % 0.31/0.54 (step @p13 :rule refl :args (tptp.more)) % 0.31/0.54 (step @p14 :rule ho_cong :premises (@p13 @p10)) % 0.31/0.54 (step @p15 :rule ho_cong :premises (@p14 @p9)) % 0.31/0.54 (step @p16 :rule cong :premises (@p15 @p12) :args ((= (_ (_ tptp.more @t17) @t3) @t18))) % 0.31/0.54 (step @p17 :rule symm :premises (@p16)) % 0.31/0.54 (step @p18 :rule refl :args (@t8)) % 0.31/0.54 (step @p19 :rule eq_resolve :premises (@p18 @p17)) % 0.31/0.54 (step @p20 :rule refl :args (@t7)) % 0.31/0.54 (step @p21 :rule cong :premises (@p20 @p10) :args ((= @t7 @t17))) % 0.31/0.54 (step @p22 :rule symm :premises (@p21)) % 0.31/0.54 (step @p23 :rule eq_resolve :premises (@p20 @p22)) % 0.31/0.54 (step @p24 :rule ho_cong :premises (@p13 @p23)) % 0.31/0.54 (step @p25 :rule ho_cong :premises (@p24 @p9)) % 0.31/0.54 (step @p26 :rule trans :premises (@p25 @p19)) % 0.31/0.54 (step @p27 :rule cong :premises (@p26) :args (@t10)) % 0.31/0.54 (step @p28 :rule eq_resolve :premises (@p4 @p27)) % 0.31/0.54 (step @p29 :rule refl :args ((tptp.more @t14 tptp.n_1))) % 0.31/0.54 (step @p30 :rule refl :args (tptp.n_1)) % 0.31/0.54 (step @p31 :rule refl :args (@t19)) % 0.31/0.54 (step @p32 :rule cong :premises (@p31 @p30) :args (@t20)) % 0.31/0.54 (step @p33 :rule trans :premises (@p32 @p29)) % 0.31/0.54 (step @p34 :rule ho_cong :premises (@p13 @p31)) % 0.31/0.54 (step @p35 :rule ho_cong :premises (@p34 @p30)) % 0.31/0.54 (step @p36 :rule cong :premises (@p35 @p33) :args ((= (_ (_ tptp.more @t19) tptp.n_1) @t20))) % 0.31/0.54 (step @p37 :rule symm :premises (@p36)) % 0.31/0.54 (step @p38 :rule refl :args (@t15)) % 0.31/0.54 (step @p39 :rule eq_resolve :premises (@p38 @p37)) % 0.31/0.54 (step @p40 :rule refl :args (tptp.n_1)) % 0.31/0.54 (step @p41 :rule refl :args (@t14)) % 0.31/0.54 (step @p42 :rule cong :premises (@p41 @p31) :args ((= @t14 @t19))) % 0.31/0.54 (step @p43 :rule symm :premises (@p42)) % 0.31/0.54 (step @p44 :rule eq_resolve :premises (@p41 @p43)) % 0.31/0.54 (step @p45 :rule refl :args (tptp.more)) % 0.31/0.54 (step @p46 :rule ho_cong :premises (@p45 @p44)) % 0.31/0.54 (step @p47 :rule ho_cong :premises (@p46 @p40)) % 0.31/0.54 (step @p48 :rule trans :premises (@p47 @p39)) % 0.31/0.54 (step @p49 :rule cong :premises (@p48) :args (@t16)) % 0.31/0.54 (step @p50 :rule eq_resolve :premises (@p6 @p49)) % 0.31/0.54 (step @p51 :rule false_intro :premises (@p50)) % 0.31/0.54 (step @p52 :rule refl :args (@t21)) % 0.31/0.54 (step @p53 :rule refl :args (@t11)) % 0.31/0.54 (step @p54 :rule cong :premises (@p53 @p52) :args ((= @t11 @t21))) % 0.31/0.54 (step @p55 :rule symm :premises (@p54)) % 0.31/0.54 (step @p56 :rule eq_resolve :premises (@p53 @p55)) % 0.31/0.54 (step @p57 :rule refl :args (@t22)) % 0.31/0.54 (step @p58 :rule refl :args (@t5)) % 0.31/0.54 (step @p59 :rule cong :premises (@p58 @p57) :args ((= @t5 @t22))) % 0.31/0.54 (step @p60 :rule symm :premises (@p59)) % 0.31/0.54 (step @p61 :rule eq_resolve :premises (@p58 @p60)) % 0.31/0.54 (step @p62 :rule cong :premises (@p61 @p56) :args (@t12)) % 0.31/0.54 (step @p63 :rule cong :premises (@p62) :args (@t13)) % 0.31/0.54 (step @p64 :rule eq_resolve :premises (@p5 @p63)) % 0.31/0.54 (step @p65 :rule instantiate :premises (@p64) :args ((@list tptp.x))) % 0.31/0.54 (step @p66 :rule symm :premises (@p65)) % 0.31/0.54 (step @p67 :rule cong :premises (@p66 @p40) :args (@t23)) % 0.31/0.54 (step @p68 :rule trans :premises (@p67 @p51)) % 0.31/0.54 (step @p69 :rule false_elim :premises (@p68)) % 0.31/0.54 (assume-push @p76 @t24) % 0.31/0.54 (step @p71 :rule instantiate :premises (@p28) :args ((@list tptp.n_1 tptp.x))) % 0.31/0.54 (step-pop @p77 :rule scope :premises (@p71)) % 0.31/0.54 (step @p72 :rule process_scope :premises (@p77) :args (@t23)) % 0.31/0.54 (step @p74 :rule implies_elim :premises (@p72)) % 0.31/0.54 (step @p75 false :rule chain_m_resolution :premises (@p74 @p69 @p28) :args (false (@list true false) (@list @t23 @t24))) % 0.31/0.54 ) % 0.31/0.54 % SZS output end Proof % 0.31/0.54 % cvc5 exiting 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