%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI547_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.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 08:07:50 AM UTC 2026 % Result : Theorem 0.15s 0.36s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : ARI547_1 : TPTP v9.2.1. Released v5.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 21:29:00 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_ARI % 0.15/0.36 --- Run --finite-model-find --decision=internal at 45... % 0.15/0.36 % SZS status Theorem % 0.15/0.36 % SZS output start Proof % 0.15/0.36 ( % 0.15/0.36 (define @t1 () (@var "X" Int)) % 0.15/0.36 (define @t2 () (* @t1 3)) % 0.15/0.36 (define @t3 () (= @t2 27)) % 0.15/0.36 (define @t4 () (and @t3 (< 8 @t1))) % 0.15/0.36 (define @t5 () (@list @t1)) % 0.15/0.36 (define @t6 () (exists @t5 @t4)) % 0.15/0.36 (define @t7 () (not @t6)) % 0.15/0.36 (define @t8 () (>= 9 9)) % 0.15/0.36 (define @t9 () (not @t8)) % 0.15/0.36 (define @t10 () (= 9 9)) % 0.15/0.36 (define @t11 () (not @t10)) % 0.15/0.36 (define @t12 () (or @t11 @t9)) % 0.15/0.36 (define @t13 () (>= @t1 9)) % 0.15/0.36 (define @t14 () (not @t13)) % 0.15/0.36 (define @t15 () (= @t1 9)) % 0.15/0.36 (define @t16 () (not @t15)) % 0.15/0.36 (define @t17 () (or @t16 @t16 @t14)) % 0.15/0.36 (define @t18 () (or @t16 @t14)) % 0.15/0.36 (define @t19 () (and @t15 @t13)) % 0.15/0.36 (define @t20 () (forall @t5 (not @t19))) % 0.15/0.36 (define @t21 () (not @t20)) % 0.15/0.36 (define @t22 () (+ @t1 1)) % 0.15/0.36 (define @t23 () (>= 8 @t1)) % 0.15/0.36 (define @t24 () (* 3 @t1)) % 0.15/0.36 (assume @p1 @t7) % 0.15/0.36 (assume @p2 true) % 0.15/0.36 (step @p3 :rule evaluate :args ((not true))) % 0.15/0.36 (step @p4 :rule evaluate :args ((not false))) % 0.15/0.36 (step @p5 :rule evaluate :args ((or false false))) % 0.15/0.36 (step @p6 :rule evaluate :args (@t8)) % 0.15/0.36 (step @p7 :rule cong :premises (@p6) :args (@t9)) % 0.15/0.36 (step @p8 :rule trans :premises (@p7 @p3)) % 0.15/0.36 (step @p9 :rule evaluate :args (@t10)) % 0.15/0.36 (step @p10 :rule cong :premises (@p9) :args (@t11)) % 0.15/0.36 (step @p11 :rule trans :premises (@p10 @p3)) % 0.15/0.36 (step @p12 :rule nary_cong :premises (@p11 @p8) :args (@t12)) % 0.15/0.36 (step @p13 :rule trans :premises (@p12 @p5)) % 0.15/0.36 (step @p14 :rule quant-var-elim-eq :args ((= (forall @t5 @t17) @t12))) % 0.15/0.36 (step @p15 :rule aci_norm :args ((= @t18 @t17))) % 0.15/0.36 (step @p16 :rule cong :premises (@p15) :args ((forall @t5 @t18))) % 0.15/0.36 (step @p17 :rule trans :premises (@p16 @p14)) % 0.15/0.36 (step @p18 :rule trans :premises (@p17 @p13)) % 0.15/0.36 (step @p19 :rule bool-and-de-morgan :args (@t15 @t13 true)) % 0.15/0.36 (step @p20 :rule cong :premises (@p19) :args (@t20)) % 0.15/0.36 (step @p21 :rule trans :premises (@p20 @p18)) % 0.15/0.36 (step @p22 :rule cong :premises (@p21) :args (@t21)) % 0.15/0.36 (step @p23 :rule trans :premises (@p22 @p4)) % 0.15/0.36 (step @p24 :rule exists-elim :args ((= (exists @t5 @t19) @t21))) % 0.15/0.36 (step @p25 :rule trans :premises (@p24 @p23)) % 0.15/0.36 (step @p26 :rule bool-double-not-elim :args (@t13)) % 0.15/0.36 (step @p27 :rule arith_poly_norm :args ((= (* 8 (- 9 @t22)) (* 8 (- 8 @t1))))) % 0.15/0.36 (step @p28 :rule arith_poly_norm_rel :premises (@p27) :args ((= (>= 9 @t22) @t23))) % 0.15/0.36 (step @p29 :rule arith-geq-tighten :args (@t1 9)) % 0.15/0.36 (step @p30 :rule trans :premises (@p29 @p28)) % 0.15/0.36 (step @p31 :rule symm :premises (@p30)) % 0.15/0.36 (step @p32 :rule cong :premises (@p31) :args ((not @t23))) % 0.15/0.36 (step @p33 :rule trans :premises (@p32 @p26)) % 0.15/0.36 (step @p34 :rule arith-elim-lt :args (8 @t1)) % 0.15/0.36 (step @p35 :rule trans :premises (@p34 @p33)) % 0.15/0.36 (step @p36 :rule arith_poly_norm :args ((= (* -9 (- @t24 27)) (* -27 (- @t1 9))))) % 0.15/0.36 (step @p37 :rule arith_poly_norm_rel :premises (@p36) :args ((= (= @t24 27) @t15))) % 0.15/0.36 (step @p38 :rule refl :args (27)) % 0.15/0.36 (step @p39 :rule arith_poly_norm :args ((= @t2 @t24))) % 0.15/0.36 (step @p40 :rule cong :premises (@p39 @p38) :args (@t3)) % 0.15/0.36 (step @p41 :rule trans :premises (@p40 @p37)) % 0.15/0.36 (step @p42 :rule nary_cong :premises (@p41 @p35) :args (@t4)) % 0.15/0.36 (step @p43 :rule cong :premises (@p42) :args (@t6)) % 0.15/0.36 (step @p44 :rule trans :premises (@p43 @p25)) % 0.15/0.36 (step @p45 :rule cong :premises (@p44) :args (@t7)) % 0.15/0.36 (step @p46 :rule trans :premises (@p45 @p3)) % 0.15/0.36 (step @p47 false :rule eq_resolve :premises (@p1 @p46)) % 0.15/0.36 ) % 0.15/0.36 % SZS output end Proof % 0.15/0.36 % cvc5 exiting %------------------------------------------------------------------------------