%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI588_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 : n003.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 0.33s 0.57s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : ARI588_1 : TPTP v9.2.1. Released v5.1.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n003.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 : % 0.33/0.51 %----Proving TF0_ARI % 0.33/0.57 --- Run --finite-model-find --decision=internal at 45... % 0.33/0.57 % SZS status Theorem % 0.33/0.57 % SZS output start Proof % 0.33/0.57 ( % 0.33/0.57 (define @t1 () (@var "Y" Int)) % 0.33/0.57 (define @t2 () (@var "X" Int)) % 0.33/0.57 (define @t3 () (- @t2)) % 0.33/0.57 (define @t4 () (+ 3 @t3)) % 0.33/0.57 (define @t5 () (<= @t4 @t1)) % 0.33/0.57 (define @t6 () (- 1)) % 0.33/0.57 (define @t7 () (+ @t2 @t6)) % 0.33/0.57 (define @t8 () (= (< @t1 @t7) @t5)) % 0.33/0.57 (define @t9 () (not @t8)) % 0.33/0.57 (define @t10 () (@list @t1)) % 0.33/0.57 (define @t11 () (forall @t10 @t9)) % 0.33/0.57 (define @t12 () (@list @t2)) % 0.33/0.57 (define @t13 () (exists @t12 @t11)) % 0.33/0.57 (define @t14 () (not @t13)) % 0.33/0.57 (define @t15 () (+ @t2 @t1)) % 0.33/0.57 (define @t16 () (>= @t15 3)) % 0.33/0.57 (define @t17 () (* -1 @t1)) % 0.33/0.57 (define @t18 () (+ @t2 @t17)) % 0.33/0.57 (define @t19 () (>= @t18 2)) % 0.33/0.57 (define @t20 () (forall @t10 (= (not @t19) @t16))) % 0.33/0.57 (define @t21 () (forall @t12 (not @t20))) % 0.33/0.57 (define @t22 () (* -1 @t2)) % 0.33/0.57 (define @t23 () (+ 3 @t22)) % 0.33/0.57 (define @t24 () (+ -1 @t2)) % 0.33/0.57 (define @t25 () (+ @t18 1)) % 0.33/0.57 (define @t26 () (>= @t1 @t7)) % 0.33/0.57 (define @t27 () (>= @t1 1)) % 0.33/0.57 (define @t28 () (+ 2 @t1)) % 0.33/0.57 (define @t29 () (* -1 -2)) % 0.33/0.57 (define @t30 () (+ @t29 @t1)) % 0.33/0.57 (define @t31 () (>= @t30 3)) % 0.33/0.57 (define @t32 () (+ 2 @t17)) % 0.33/0.57 (define @t33 () (+ @t1 1)) % 0.33/0.57 (define @t34 () (+ @t29 @t17)) % 0.33/0.57 (define @t35 () (>= @t34 2)) % 0.33/0.57 (define @t36 () (not @t35)) % 0.33/0.57 (define @t37 () (= @t36 @t31)) % 0.33/0.57 (define @t38 () (forall @t10 @t37)) % 0.33/0.57 (define @t39 () (not @t38)) % 0.33/0.57 (assume @p1 @t14) % 0.33/0.57 (assume @p2 true) % 0.33/0.57 (step @p3 :rule bool-double-not-elim :args (@t21)) % 0.33/0.57 (step @p4 :rule exists-elim :args ((= (exists @t12 @t20) (not @t21)))) % 0.33/0.57 (step @p5 :rule bool-not-eq-elim1 :args (@t19 @t16)) % 0.33/0.57 (step @p6 :rule cong :premises (@p5) :args ((forall @t10 (not (= @t19 @t16))))) % 0.33/0.57 (step @p7 :rule arith_poly_norm :args ((= (* -3 (- @t1 @t23)) (* -3 (- @t15 3))))) % 0.33/0.57 (step @p8 :rule arith_poly_norm_rel :premises (@p7) :args ((= (>= @t1 @t23) @t16))) % 0.33/0.57 (step @p9 :rule arith-elim-leq :args (@t23 @t1)) % 0.33/0.57 (step @p10 :rule trans :premises (@p9 @p8)) % 0.33/0.57 (step @p11 :rule refl :args (@t1)) % 0.33/0.57 (step @p12 :rule arith_poly_norm :args ((= @t3 @t22))) % 0.33/0.57 (step @p13 :rule refl :args (3)) % 0.33/0.57 (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t4)) % 0.33/0.57 (step @p15 :rule cong :premises (@p14 @p11) :args (@t5)) % 0.33/0.57 (step @p16 :rule trans :premises (@p15 @p10)) % 0.33/0.57 (step @p17 :rule bool-double-not-elim :args (@t19)) % 0.33/0.57 (step @p18 :rule arith_poly_norm :args ((= (* 1 (- 2 @t25)) (* 1 (- @t1 @t24))))) % 0.33/0.57 (step @p19 :rule arith_poly_norm_rel :premises (@p18) :args ((= (>= 2 @t25) (>= @t1 @t24)))) % 0.33/0.57 (step @p20 :rule arith-geq-tighten :args (@t18 2)) % 0.33/0.57 (step @p21 :rule trans :premises (@p20 @p19)) % 0.33/0.57 (step @p22 :rule symm :premises (@p21)) % 0.33/0.57 (step @p23 :rule arith_poly_norm :args ((= (+ @t2 -1) @t24))) % 0.33/0.57 (step @p24 :rule evaluate :args (@t6)) % 0.33/0.57 (step @p25 :rule refl :args (@t2)) % 0.33/0.57 (step @p26 :rule nary_cong :premises (@p25 @p24) :args (@t7)) % 0.33/0.57 (step @p27 :rule trans :premises (@p26 @p23)) % 0.33/0.57 (step @p28 :rule cong :premises (@p11 @p27) :args (@t26)) % 0.33/0.57 (step @p29 :rule trans :premises (@p28 @p22)) % 0.33/0.57 (step @p30 :rule cong :premises (@p29) :args ((not @t26))) % 0.33/0.57 (step @p31 :rule trans :premises (@p30 @p17)) % 0.33/0.57 (step @p32 :rule arith-elim-lt :args (@t1 @t7)) % 0.33/0.57 (step @p33 :rule trans :premises (@p32 @p31)) % 0.33/0.57 (step @p34 :rule cong :premises (@p33 @p16) :args (@t8)) % 0.33/0.57 (step @p35 :rule cong :premises (@p34) :args (@t9)) % 0.33/0.57 (step @p36 :rule cong :premises (@p35) :args (@t11)) % 0.33/0.57 (step @p37 :rule trans :premises (@p36 @p6)) % 0.33/0.57 (step @p38 :rule cong :premises (@p37) :args (@t13)) % 0.33/0.57 (step @p39 :rule trans :premises (@p38 @p4)) % 0.33/0.57 (step @p40 :rule cong :premises (@p39) :args (@t14)) % 0.33/0.57 (step @p41 :rule trans :premises (@p40 @p3)) % 0.33/0.57 (step @p42 :rule eq_resolve :premises (@p1 @p41)) % 0.33/0.57 (step @p43 :rule bool-impl-false1 :args (@t21)) % 0.33/0.57 (step @p44 :rule evaluate :args ((not true))) % 0.33/0.57 (step @p45 :rule quant-unused-vars :args ((= (forall @t10 true) true))) % 0.33/0.57 (step @p46 :rule eq-refl :args (@t27)) % 0.33/0.57 (step @p47 :rule arith_poly_norm :args ((= (* -1 (- @t28 3)) (* -1 (- @t1 1))))) % 0.33/0.57 (step @p48 :rule arith_poly_norm_rel :premises (@p47) :args ((= (>= @t28 3) @t27))) % 0.33/0.57 (step @p49 :rule evaluate :args (@t29)) % 0.33/0.57 (step @p50 :rule nary_cong :premises (@p49 @p11) :args (@t30)) % 0.33/0.57 (step @p51 :rule cong :premises (@p50 @p13) :args (@t31)) % 0.33/0.57 (step @p52 :rule trans :premises (@p51 @p48)) % 0.33/0.57 (step @p53 :rule bool-double-not-elim :args (@t27)) % 0.33/0.58 (step @p54 :rule arith_poly_norm :args ((= (* -1 (- 1 @t33)) (* -1 (- @t32 2))))) % 0.33/0.58 (step @p55 :rule arith_poly_norm_rel :premises (@p54) :args ((= (>= 1 @t33) (>= @t32 2)))) % 0.33/0.58 (step @p56 :rule arith-geq-tighten :args (@t1 1)) % 0.33/0.58 (step @p57 :rule trans :premises (@p56 @p55)) % 0.33/0.58 (step @p58 :rule symm :premises (@p57)) % 0.33/0.58 (step @p59 :rule refl :args (2)) % 0.33/0.58 (step @p60 :rule refl :args (@t17)) % 0.33/0.58 (step @p61 :rule nary_cong :premises (@p49 @p60) :args (@t34)) % 0.33/0.58 (step @p62 :rule cong :premises (@p61 @p59) :args (@t35)) % 0.33/0.58 (step @p63 :rule trans :premises (@p62 @p58)) % 0.33/0.58 (step @p64 :rule cong :premises (@p63) :args (@t36)) % 0.33/0.58 (step @p65 :rule trans :premises (@p64 @p53)) % 0.33/0.58 (step @p66 :rule cong :premises (@p65 @p52) :args (@t37)) % 0.33/0.58 (step @p67 :rule trans :premises (@p66 @p46)) % 0.33/0.58 (step @p68 :rule cong :premises (@p67) :args (@t38)) % 0.33/0.58 (step @p69 :rule trans :premises (@p68 @p45)) % 0.33/0.58 (step @p70 :rule cong :premises (@p69) :args (@t39)) % 0.33/0.58 (step @p71 :rule trans :premises (@p70 @p44)) % 0.33/0.58 (step @p72 :rule refl :args (@t21)) % 0.33/0.58 (step @p73 :rule cong :premises (@p72 @p71) :args ((=> @t21 @t39))) % 0.33/0.58 (step @p74 :rule trans :premises (@p73 @p43)) % 0.33/0.58 (assume-push @p81 @t21) % 0.33/0.58 (step @p76 :rule instantiate :premises (@p42) :args ((@list @t29))) % 0.33/0.58 (step-pop @p82 :rule scope :premises (@p76)) % 0.33/0.58 (step @p77 :rule process_scope :premises (@p82) :args (@t39)) % 0.33/0.58 (step @p79 :rule eq_resolve :premises (@p77 @p74)) % 0.33/0.58 (step @p80 false :rule chain_m_resolution :premises (@p79 @p42) :args (false (@list false) (@list @t21))) % 0.33/0.58 ) % 0.33/0.58 % SZS output end Proof % 0.33/0.58 % cvc5 exiting %------------------------------------------------------------------------------