%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI489_1 : TPTP v9.2.1. Bugfixed v5.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.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 08:07:44 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : ARI489_1 : TPTP v9.2.1. Bugfixed v5.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n018.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 02:28:50 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_ARI % 0.38/0.56 --- Run --finite-model-find --decision=internal at 45... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (define @t1 () (@var "Y" Real)) % 0.38/0.56 (define @t2 () (@var "X" Real)) % 0.38/0.56 (define @t3 () (+ @t2 1/1)) % 0.38/0.56 (define @t4 () (= @t3 @t1)) % 0.38/0.56 (define @t5 () (and @t4 (< @t2 @t1))) % 0.38/0.56 (define @t6 () (@list @t2 @t1)) % 0.38/0.56 (define @t7 () (exists @t6 @t5)) % 0.38/0.56 (define @t8 () (not @t7)) % 0.38/0.56 (define @t9 () (@list @t1)) % 0.38/0.56 (define @t10 () (* -1/1 @t1)) % 0.38/0.56 (define @t11 () (+ @t10 @t1 -1/1)) % 0.38/0.56 (define @t12 () (+ -1/1 @t1)) % 0.38/0.56 (define @t13 () (+ @t12 @t10)) % 0.38/0.56 (define @t14 () (>= @t13 0/1)) % 0.38/0.56 (define @t15 () (not (= @t12 @t12))) % 0.38/0.56 (define @t16 () (or @t15 @t14)) % 0.38/0.56 (define @t17 () (+ @t2 @t10)) % 0.38/0.56 (define @t18 () (>= @t17 0/1)) % 0.38/0.56 (define @t19 () (= @t2 @t12)) % 0.38/0.56 (define @t20 () (not @t19)) % 0.38/0.56 (define @t21 () (or @t20 @t20 @t18)) % 0.38/0.56 (define @t22 () (@list @t2)) % 0.38/0.56 (define @t23 () (or @t20 @t18)) % 0.38/0.56 (define @t24 () (forall @t22 @t23)) % 0.38/0.56 (define @t25 () (forall @t9 @t24)) % 0.38/0.56 (define @t26 () (forall (@list @t1 @t2) @t23)) % 0.38/0.56 (define @t27 () (not @t18)) % 0.38/0.56 (define @t28 () (and @t19 @t27)) % 0.38/0.56 (define @t29 () (forall @t6 (not @t28))) % 0.38/0.56 (define @t30 () (not @t29)) % 0.38/0.56 (define @t31 () (>= @t2 @t1)) % 0.38/0.56 (define @t32 () (+ 1/1 @t2)) % 0.38/0.56 (assume @p1 @t8) % 0.38/0.56 (assume @p2 true) % 0.38/0.56 (step @p3 :rule evaluate :args ((not true))) % 0.38/0.56 (step @p4 :rule evaluate :args ((not false))) % 0.38/0.56 (step @p5 :rule quant-unused-vars :args ((= (forall @t9 false) false))) % 0.38/0.56 (step @p6 :rule evaluate :args ((or false false))) % 0.38/0.56 (step @p7 :rule evaluate :args ((>= -1/1 0/1))) % 0.38/0.56 (step @p8 :rule refl :args (0/1)) % 0.38/0.56 (step @p9 :rule arith_poly_norm :args ((= @t11 -1/1))) % 0.38/0.56 (step @p10 :rule arith_poly_norm :args ((= @t13 @t11))) % 0.38/0.56 (step @p11 :rule trans :premises (@p10 @p9)) % 0.38/0.56 (step @p12 :rule cong :premises (@p11 @p8) :args (@t14)) % 0.38/0.56 (step @p13 :rule trans :premises (@p12 @p7)) % 0.38/0.56 (step @p14 :rule eq-refl :args (@t12)) % 0.38/0.56 (step @p15 :rule cong :premises (@p14) :args (@t15)) % 0.38/0.56 (step @p16 :rule trans :premises (@p15 @p3)) % 0.38/0.56 (step @p17 :rule nary_cong :premises (@p16 @p13) :args (@t16)) % 0.38/0.56 (step @p18 :rule trans :premises (@p17 @p6)) % 0.38/0.56 (step @p19 :rule cong :premises (@p18) :args ((forall @t9 @t16))) % 0.38/0.56 (step @p20 :rule trans :premises (@p19 @p5)) % 0.38/0.56 (step @p21 :rule quant-var-elim-eq :args ((= (forall @t22 @t21) @t16))) % 0.38/0.56 (step @p22 :rule aci_norm :args ((= @t23 @t21))) % 0.38/0.56 (step @p23 :rule cong :premises (@p22) :args (@t24)) % 0.38/0.56 (step @p24 :rule trans :premises (@p23 @p21)) % 0.38/0.56 (step @p25 :rule cong :premises (@p24) :args (@t25)) % 0.38/0.56 (step @p26 :rule quant-merge-prenex :args ((= @t25 @t26))) % 0.38/0.56 (step @p27 :rule symm :premises (@p26)) % 0.38/0.56 (step @p28 :rule quant_var_reordering :args ((= (forall @t6 @t23) @t26))) % 0.38/0.56 (step @p29 :rule trans :premises (@p28 @p27 @p25)) % 0.38/0.56 (step @p30 :rule trans :premises (@p29 @p20)) % 0.38/0.56 (step @p31 :rule bool-double-not-elim :args (@t18)) % 0.38/0.56 (step @p32 :rule refl :args (@t20)) % 0.38/0.56 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or @t20 (not @t27)))) % 0.38/0.56 (step @p34 :rule bool-and-de-morgan :args (@t19 @t27 true)) % 0.38/0.56 (step @p35 :rule trans :premises (@p34 @p33)) % 0.38/0.56 (step @p36 :rule cong :premises (@p35) :args (@t29)) % 0.38/0.56 (step @p37 :rule trans :premises (@p36 @p30)) % 0.38/0.56 (step @p38 :rule cong :premises (@p37) :args (@t30)) % 0.38/0.56 (step @p39 :rule trans :premises (@p38 @p4)) % 0.38/0.56 (step @p40 :rule exists-elim :args ((= (exists @t6 @t28) @t30))) % 0.38/0.56 (step @p41 :rule trans :premises (@p40 @p39)) % 0.38/0.56 (step @p42 :rule arith_poly_norm :args ((= (* 1/1 (- @t2 @t1)) (* 1/1 (- @t17 0/1))))) % 0.38/0.56 (step @p43 :rule arith_poly_norm_rel :premises (@p42) :args ((= @t31 @t18))) % 0.38/0.56 (step @p44 :rule cong :premises (@p43) :args ((not @t31))) % 0.38/0.56 (step @p45 :rule arith-elim-lt :args (@t2 @t1)) % 0.38/0.56 (step @p46 :rule trans :premises (@p45 @p44)) % 0.38/0.56 (step @p47 :rule arith_poly_norm :args ((= (* 1/1 (- @t32 @t1)) (* 1/1 (- @t2 @t12))))) % 0.38/0.56 (step @p48 :rule arith_poly_norm_rel :premises (@p47) :args ((= (= @t32 @t1) @t19))) % 0.38/0.56 (step @p49 :rule refl :args (@t1)) % 0.38/0.56 (step @p50 :rule arith_poly_norm :args ((= @t3 @t32))) % 0.38/0.56 (step @p51 :rule cong :premises (@p50 @p49) :args (@t4)) % 0.38/0.56 (step @p52 :rule trans :premises (@p51 @p48)) % 0.38/0.56 (step @p53 :rule nary_cong :premises (@p52 @p46) :args (@t5)) % 0.38/0.56 (step @p54 :rule cong :premises (@p53) :args (@t7)) % 0.38/0.56 (step @p55 :rule trans :premises (@p54 @p41)) % 0.38/0.56 (step @p56 :rule cong :premises (@p55) :args (@t8)) % 0.38/0.56 (step @p57 :rule trans :premises (@p56 @p3)) % 0.38/0.56 (step @p58 false :rule eq_resolve :premises (@p1 @p57)) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting 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