%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI590_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 : n009.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 08:07:56 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ARI590_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 : n009.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 02:29:44 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_ARI % 0.38/0.57 --- Run --finite-model-find --decision=internal at 45... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (define @t1 () (@var "X" Int)) % 0.38/0.57 (define @t2 () (@var "Y" Int)) % 0.38/0.57 (define @t3 () (= @t2 @t1)) % 0.38/0.57 (define @t4 () (not @t3)) % 0.38/0.57 (define @t5 () (and (< 0 @t1) @t4)) % 0.38/0.57 (define @t6 () (@list @t1)) % 0.38/0.57 (define @t7 () (exists @t6 @t5)) % 0.38/0.57 (define @t8 () (@list @t2)) % 0.38/0.57 (define @t9 () (forall @t8 @t7)) % 0.38/0.57 (define @t10 () (not @t9)) % 0.38/0.57 (define @t11 () (= @t1 @t2)) % 0.38/0.57 (define @t12 () (* -1 -1)) % 0.38/0.57 (define @t13 () (+ @t2 1)) % 0.38/0.57 (define @t14 () (ite (>= @t12 @t13) @t12 @t13)) % 0.38/0.57 (define @t15 () (- @t2 @t13)) % 0.38/0.57 (define @t16 () (>= @t1 1)) % 0.38/0.57 (define @t17 () (and @t16 @t4)) % 0.38/0.57 (define @t18 () (not @t16)) % 0.38/0.57 (define @t19 () (or @t18 @t3)) % 0.38/0.57 (define @t20 () (not @t19)) % 0.38/0.57 (define @t21 () (forall @t6 (not @t17))) % 0.38/0.57 (define @t22 () (not @t21)) % 0.38/0.57 (define @t23 () (+ @t1 1)) % 0.38/0.57 (define @t24 () (>= 0 @t1)) % 0.38/0.57 (assume @p1 @t10) % 0.38/0.57 (assume @p2 true) % 0.38/0.57 (step @p3 :rule evaluate :args ((not true))) % 0.38/0.57 (step @p4 :rule quant-unused-vars :args ((= (forall @t8 true) true))) % 0.38/0.57 (step @p5 :rule evaluate :args ((not false))) % 0.38/0.57 (assume-push @p83 (forall @t6 (=> (and (>= @t1 @t12) (not @t11)) false))) % 0.38/0.57 (step @p7 :rule instantiate :premises (@p83) :args ((@list @t14))) % 0.38/0.57 (assume-push @p84 (= @t14 @t2)) % 0.38/0.57 (step @p9 :rule evaluate :args ((>= -1 0))) % 0.38/0.57 (step @p10 :rule refl :args (0)) % 0.38/0.57 (step @p11 :rule arith_poly_norm :args ((= @t15 -1))) % 0.38/0.57 (step @p12 :rule cong :premises (@p11 @p10) :args ((>= @t15 0))) % 0.38/0.57 (step @p13 :rule trans :premises (@p12 @p9)) % 0.38/0.57 (step @p14 :rule arith-geq-norm1-int :args (@t2 @t13)) % 0.38/0.57 (step @p15 :rule trans :premises (@p14 @p13)) % 0.38/0.57 (step @p16 :rule refl :args (@t13)) % 0.38/0.57 (step @p17 :rule cong :premises (@p84 @p16) :args ((>= @t14 @t13))) % 0.38/0.57 (step @p18 :rule arith-max-geq2 :args (@t12 @t13)) % 0.38/0.57 (step @p19 :rule true_elim :premises (@p18)) % 0.38/0.57 (step @p20 :rule eq_resolve :premises (@p19 @p17)) % 0.38/0.57 (step @p21 false :rule eq_resolve :premises (@p20 @p15)) % 0.38/0.57 (step-pop @p85 :rule scope :premises (@p21)) % 0.38/0.57 (step @p22 :rule process_scope :premises (@p85) :args (false)) % 0.38/0.57 (step @p24 :rule arith-max-geq1 :args (@t12 @t13)) % 0.38/0.57 (step @p25 :rule true_elim :premises (@p24)) % 0.38/0.57 (step @p26 :rule and_intro :premises (@p25 @p22)) % 0.38/0.57 (step @p27 false :rule modus_ponens :premises (@p26 @p7)) % 0.38/0.57 (step-pop @p86 :rule scope :premises (@p27)) % 0.38/0.57 (step @p28 :rule process_scope :premises (@p86) :args (false)) % 0.38/0.57 (step @p30 :rule false_intro :premises (@p28)) % 0.38/0.57 (step @p31 :rule refl :args (false)) % 0.38/0.57 (step @p32 :rule arith_poly_norm :args ((= (* -1 (- @t2 @t1)) (* 1 (- @t1 @t2))))) % 0.38/0.57 (step @p33 :rule arith_poly_norm_rel :premises (@p32) :args ((= @t3 @t11))) % 0.38/0.57 (step @p34 :rule cong :premises (@p33) :args (@t4)) % 0.38/0.57 (step @p35 :rule evaluate :args (@t12)) % 0.38/0.57 (step @p36 :rule symm :premises (@p35)) % 0.38/0.57 (step @p37 :rule refl :args (@t1)) % 0.38/0.57 (step @p38 :rule cong :premises (@p37 @p36) :args (@t16)) % 0.38/0.57 (step @p39 :rule nary_cong :premises (@p38 @p34) :args (@t17)) % 0.38/0.57 (step @p40 :rule refl :args (@t4)) % 0.38/0.57 (step @p41 :rule bool-double-not-elim :args (@t16)) % 0.38/0.57 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((and (not @t18) @t4))) % 0.38/0.57 (step @p43 :rule bool-or-de-morgan :args (@t18 @t3 false)) % 0.38/0.57 (step @p44 :rule trans :premises (@p43 @p42)) % 0.38/0.57 (step @p45 :rule trans :premises (@p44 @p39)) % 0.38/0.57 (step @p46 :rule cong :premises (@p45 @p31) :args ((=> @t20 false))) % 0.38/0.57 (step @p47 :rule bool-double-not-elim :args (@t19)) % 0.38/0.57 (step @p48 :rule bool-impl-false1 :args (@t20)) % 0.38/0.57 (step @p49 :rule trans :premises (@p48 @p47)) % 0.38/0.57 (step @p50 :rule symm :premises (@p49)) % 0.38/0.57 (step @p51 :rule trans :premises (@p50 @p46)) % 0.38/0.57 (step @p52 :rule cong :premises (@p51) :args ((forall @t6 @t19))) % 0.38/0.57 (step @p53 :rule trans :premises (@p52 @p30)) % 0.38/0.57 (step @p54 :rule bool-double-not-elim :args (@t3)) % 0.38/0.57 (step @p55 :rule refl :args (@t18)) % 0.38/0.57 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t18 (not @t4)))) % 0.38/0.57 (step @p57 :rule bool-and-de-morgan :args (@t16 @t4 true)) % 0.38/0.57 (step @p58 :rule trans :premises (@p57 @p56)) % 0.38/0.57 (step @p59 :rule cong :premises (@p58) :args (@t21)) % 0.38/0.57 (step @p60 :rule trans :premises (@p59 @p53)) % 0.38/0.57 (step @p61 :rule cong :premises (@p60) :args (@t22)) % 0.38/0.57 (step @p62 :rule trans :premises (@p61 @p5)) % 0.38/0.57 (step @p63 :rule exists-elim :args ((= (exists @t6 @t17) @t22))) % 0.38/0.57 (step @p64 :rule trans :premises (@p63 @p62)) % 0.38/0.57 (step @p65 :rule refl :args (@t4)) % 0.38/0.57 (step @p66 :rule arith_poly_norm :args ((= (* -1 (- 1 @t23)) (* -1 (- 0 @t1))))) % 0.38/0.57 (step @p67 :rule arith_poly_norm_rel :premises (@p66) :args ((= (>= 1 @t23) @t24))) % 0.38/0.57 (step @p68 :rule arith-geq-tighten :args (@t1 1)) % 0.38/0.57 (step @p69 :rule trans :premises (@p68 @p67)) % 0.38/0.57 (step @p70 :rule symm :premises (@p69)) % 0.38/0.57 (step @p71 :rule cong :premises (@p70) :args ((not @t24))) % 0.38/0.57 (step @p72 :rule trans :premises (@p71 @p41)) % 0.38/0.57 (step @p73 :rule arith-elim-lt :args (0 @t1)) % 0.38/0.57 (step @p74 :rule trans :premises (@p73 @p72)) % 0.38/0.57 (step @p75 :rule nary_cong :premises (@p74 @p65) :args (@t5)) % 0.38/0.57 (step @p76 :rule cong :premises (@p75) :args (@t7)) % 0.38/0.57 (step @p77 :rule trans :premises (@p76 @p64)) % 0.38/0.57 (step @p78 :rule cong :premises (@p77) :args (@t9)) % 0.38/0.57 (step @p79 :rule trans :premises (@p78 @p4)) % 0.38/0.57 (step @p80 :rule cong :premises (@p79) :args (@t10)) % 0.38/0.57 (step @p81 :rule trans :premises (@p80 @p3)) % 0.38/0.57 (step @p82 false :rule eq_resolve :premises (@p1 @p81)) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------