%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI589_1 : TPTP v9.2.1. Released v5.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:07:55 AM UTC 2026 % Result : Theorem 0.32s 0.57s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ARI589_1 : TPTP v9.2.1. Released v5.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n001.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 02:30:35 EDT 2026 % 0.18/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_ARI % 0.32/0.57 --- Run --finite-model-find --decision=internal at 45... % 0.32/0.57 % SZS status Theorem % 0.32/0.57 % SZS output start Proof % 0.32/0.57 ( % 0.32/0.57 (define @t1 () (@var "X" Int)) % 0.32/0.57 (define @t2 () (@var "Z" Int)) % 0.32/0.57 (define @t3 () (= @t2 @t1)) % 0.32/0.57 (define @t4 () (not @t3)) % 0.32/0.57 (define @t5 () (@var "Y" Int)) % 0.32/0.57 (define @t6 () (= @t5 @t1)) % 0.32/0.57 (define @t7 () (not @t6)) % 0.32/0.57 (define @t8 () (and @t7 @t4)) % 0.32/0.57 (define @t9 () (@list @t1)) % 0.32/0.57 (define @t10 () (exists @t9 @t8)) % 0.32/0.57 (define @t11 () (@list @t5 @t2)) % 0.32/0.57 (define @t12 () (forall @t11 @t10)) % 0.32/0.57 (define @t13 () (not @t12)) % 0.32/0.57 (define @t14 () (= @t1 @t2)) % 0.32/0.57 (define @t15 () (= @t1 @t5)) % 0.32/0.57 (define @t16 () (+ @t2 -1)) % 0.32/0.57 (define @t17 () (+ @t5 -1)) % 0.32/0.57 (define @t18 () (ite (< @t17 @t16) @t17 @t16)) % 0.32/0.57 (define @t19 () (>= -1 0)) % 0.32/0.57 (define @t20 () (- @t16 @t2)) % 0.32/0.57 (define @t21 () (- @t17 @t5)) % 0.32/0.57 (define @t22 () (or @t6 @t3)) % 0.32/0.57 (define @t23 () (not @t22)) % 0.32/0.57 (define @t24 () (forall @t9 (not @t8))) % 0.32/0.57 (define @t25 () (not @t24)) % 0.32/0.57 (assume @p1 @t13) % 0.32/0.57 (assume @p2 true) % 0.32/0.57 (step @p3 :rule evaluate :args ((not true))) % 0.32/0.57 (step @p4 :rule quant-unused-vars :args ((= (forall @t11 true) true))) % 0.32/0.57 (step @p5 :rule evaluate :args ((not false))) % 0.32/0.57 (assume-push @p81 (forall @t9 (=> (and (not @t15) (not @t14)) false))) % 0.32/0.57 (step @p7 :rule instantiate :premises (@p81) :args ((@list @t18))) % 0.32/0.57 (assume-push @p82 (= @t18 @t2)) % 0.32/0.57 (step @p9 :rule evaluate :args (@t19)) % 0.32/0.57 (step @p10 :rule refl :args (0)) % 0.32/0.57 (step @p11 :rule arith_poly_norm :args ((= @t20 -1))) % 0.32/0.57 (step @p12 :rule cong :premises (@p11 @p10) :args ((>= @t20 0))) % 0.32/0.57 (step @p13 :rule trans :premises (@p12 @p9)) % 0.32/0.57 (step @p14 :rule arith-geq-norm1-int :args (@t16 @t2)) % 0.32/0.57 (step @p15 :rule trans :premises (@p14 @p13)) % 0.32/0.57 (step @p16 :rule arith-elim-leq :args (@t2 @t16)) % 0.32/0.57 (step @p17 :rule trans :premises (@p16 @p15)) % 0.32/0.57 (step @p18 :rule refl :args (@t16)) % 0.32/0.57 (step @p19 :rule cong :premises (@p82 @p18) :args ((<= @t18 @t16))) % 0.32/0.57 (step @p20 :rule arith-min-lt2 :args (@t17 @t16)) % 0.32/0.57 (step @p21 :rule true_elim :premises (@p20)) % 0.32/0.57 (step @p22 :rule eq_resolve :premises (@p21 @p19)) % 0.32/0.57 (step @p23 false :rule eq_resolve :premises (@p22 @p17)) % 0.32/0.57 (step-pop @p83 :rule scope :premises (@p23)) % 0.32/0.57 (step @p24 :rule process_scope :premises (@p83) :args (false)) % 0.32/0.57 (assume-push @p84 (= @t18 @t5)) % 0.32/0.57 (step @p9 :rule evaluate :args (@t19)) % 0.32/0.57 (step @p10 :rule refl :args (0)) % 0.32/0.57 (step @p27 :rule arith_poly_norm :args ((= @t21 -1))) % 0.32/0.57 (step @p28 :rule cong :premises (@p27 @p10) :args ((>= @t21 0))) % 0.32/0.57 (step @p29 :rule trans :premises (@p28 @p9)) % 0.32/0.57 (step @p30 :rule arith-geq-norm1-int :args (@t17 @t5)) % 0.32/0.57 (step @p31 :rule trans :premises (@p30 @p29)) % 0.32/0.57 (step @p32 :rule arith-elim-leq :args (@t5 @t17)) % 0.32/0.57 (step @p33 :rule trans :premises (@p32 @p31)) % 0.32/0.57 (step @p34 :rule refl :args (@t17)) % 0.32/0.57 (step @p35 :rule cong :premises (@p84 @p34) :args ((<= @t18 @t17))) % 0.32/0.57 (step @p36 :rule arith-min-lt1 :args (@t17 @t16)) % 0.32/0.57 (step @p37 :rule true_elim :premises (@p36)) % 0.32/0.57 (step @p38 :rule eq_resolve :premises (@p37 @p35)) % 0.32/0.57 (step @p39 false :rule eq_resolve :premises (@p38 @p33)) % 0.32/0.57 (step-pop @p85 :rule scope :premises (@p39)) % 0.32/0.57 (step @p40 :rule process_scope :premises (@p85) :args (false)) % 0.32/0.57 (step @p42 :rule and_intro :premises (@p40 @p24)) % 0.32/0.57 (step @p43 false :rule modus_ponens :premises (@p42 @p7)) % 0.32/0.57 (step-pop @p86 :rule scope :premises (@p43)) % 0.32/0.57 (step @p44 :rule process_scope :premises (@p86) :args (false)) % 0.32/0.57 (step @p46 :rule false_intro :premises (@p44)) % 0.32/0.57 (step @p47 :rule refl :args (false)) % 0.32/0.57 (step @p48 :rule arith_poly_norm :args ((= (* -1 (- @t2 @t1)) (* 1 (- @t1 @t2))))) % 0.32/0.57 (step @p49 :rule arith_poly_norm_rel :premises (@p48) :args ((= @t3 @t14))) % 0.32/0.57 (step @p50 :rule cong :premises (@p49) :args (@t4)) % 0.32/0.57 (step @p51 :rule arith_poly_norm :args ((= (* -1 (- @t5 @t1)) (* 1 (- @t1 @t5))))) % 0.32/0.57 (step @p52 :rule arith_poly_norm_rel :premises (@p51) :args ((= @t6 @t15))) % 0.32/0.57 (step @p53 :rule cong :premises (@p52) :args (@t7)) % 0.32/0.57 (step @p54 :rule nary_cong :premises (@p53 @p50) :args (@t8)) % 0.32/0.57 (step @p55 :rule bool-or-de-morgan :args (@t6 @t3 false)) % 0.32/0.57 (step @p56 :rule trans :premises (@p55 @p54)) % 0.32/0.57 (step @p57 :rule cong :premises (@p56 @p47) :args ((=> @t23 false))) % 0.32/0.57 (step @p58 :rule bool-double-not-elim :args (@t22)) % 0.32/0.57 (step @p59 :rule bool-impl-false1 :args (@t23)) % 0.32/0.57 (step @p60 :rule trans :premises (@p59 @p58)) % 0.32/0.57 (step @p61 :rule symm :premises (@p60)) % 0.32/0.57 (step @p62 :rule trans :premises (@p61 @p57)) % 0.32/0.57 (step @p63 :rule cong :premises (@p62) :args ((forall @t9 @t22))) % 0.32/0.57 (step @p64 :rule trans :premises (@p63 @p46)) % 0.32/0.57 (step @p65 :rule bool-double-not-elim :args (@t3)) % 0.32/0.57 (step @p66 :rule bool-double-not-elim :args (@t6)) % 0.32/0.57 (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or (not @t7) (not @t4)))) % 0.32/0.57 (step @p68 :rule bool-and-de-morgan :args (@t7 @t4 true)) % 0.32/0.57 (step @p69 :rule trans :premises (@p68 @p67)) % 0.32/0.57 (step @p70 :rule cong :premises (@p69) :args (@t24)) % 0.32/0.57 (step @p71 :rule trans :premises (@p70 @p64)) % 0.32/0.57 (step @p72 :rule cong :premises (@p71) :args (@t25)) % 0.32/0.57 (step @p73 :rule trans :premises (@p72 @p5)) % 0.32/0.57 (step @p74 :rule exists-elim :args ((= @t10 @t25))) % 0.32/0.57 (step @p75 :rule trans :premises (@p74 @p73)) % 0.32/0.57 (step @p76 :rule cong :premises (@p75) :args (@t12)) % 0.32/0.57 (step @p77 :rule trans :premises (@p76 @p4)) % 0.32/0.57 (step @p78 :rule cong :premises (@p77) :args (@t13)) % 0.32/0.57 (step @p79 :rule trans :premises (@p78 @p3)) % 0.32/0.57 (step @p80 false :rule eq_resolve :premises (@p1 @p79)) % 0.32/0.57 ) % 0.32/0.57 % SZS output end Proof % 0.32/0.57 % cvc5 exiting %------------------------------------------------------------------------------