%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI576_1 : TPTP v9.2.1. Released 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 : n017.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 08:07:54 AM UTC 2026 % Result : Theorem 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI576_1 : TPTP v9.2.1. Released v5.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n017.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 02:28:01 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_ARI % 0.39/0.56 --- Run --finite-model-find --decision=internal at 45... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (define @t1 () (@var "X" Int)) % 0.39/0.56 (define @t2 () (* 3 @t1)) % 0.39/0.56 (define @t3 () (* 2 @t1)) % 0.39/0.56 (define @t4 () (and (<= @t3 21) (<= 29 @t2))) % 0.39/0.56 (define @t5 () (@list @t1)) % 0.39/0.56 (define @t6 () (exists @t5 @t4)) % 0.39/0.56 (define @t7 () (not @t6)) % 0.39/0.56 (define @t8 () (>= @t1 10)) % 0.39/0.56 (define @t9 () (not @t8)) % 0.39/0.56 (define @t10 () (>= @t1 11)) % 0.39/0.56 (define @t11 () (forall @t5 (or @t10 @t9))) % 0.39/0.56 (define @t12 () (not @t10)) % 0.39/0.56 (define @t13 () (and @t12 @t8)) % 0.39/0.56 (define @t14 () (forall @t5 (not @t13))) % 0.39/0.56 (define @t15 () (not @t14)) % 0.39/0.56 (define @t16 () (to_int 29/3)) % 0.39/0.56 (define @t17 () (to_real @t1)) % 0.39/0.56 (define @t18 () (* -1 @t1)) % 0.39/0.56 (define @t19 () (+ @t1 1)) % 0.39/0.56 (define @t20 () (to_int -21/2)) % 0.39/0.56 (define @t21 () (to_real @t18)) % 0.39/0.56 (define @t22 () (* -1 -10)) % 0.39/0.56 (define @t23 () (>= @t22 10)) % 0.39/0.56 (define @t24 () (not @t23)) % 0.39/0.56 (define @t25 () (>= @t22 11)) % 0.39/0.56 (define @t26 () (or @t25 @t24)) % 0.39/0.56 (assume @p1 @t7) % 0.39/0.56 (assume @p2 true) % 0.39/0.56 (step @p3 :rule bool-double-not-elim :args (@t11)) % 0.39/0.56 (step @p4 :rule refl :args (@t9)) % 0.39/0.56 (step @p5 :rule bool-double-not-elim :args (@t10)) % 0.39/0.56 (step @p6 :rule nary_cong :premises (@p5 @p4) :args ((or (not @t12) @t9))) % 0.39/0.56 (step @p7 :rule bool-and-de-morgan :args (@t12 @t8 true)) % 0.39/0.56 (step @p8 :rule trans :premises (@p7 @p6)) % 0.39/0.56 (step @p9 :rule cong :premises (@p8) :args (@t14)) % 0.39/0.56 (step @p10 :rule cong :premises (@p9) :args (@t15)) % 0.39/0.56 (step @p11 :rule exists-elim :args ((= (exists @t5 @t13) @t15))) % 0.39/0.56 (step @p12 :rule trans :premises (@p11 @p10)) % 0.39/0.56 (step @p13 :rule evaluate :args ((+ @t16 1))) % 0.39/0.56 (step @p14 :rule symm :premises (@p13)) % 0.39/0.56 (step @p15 :rule evaluate :args ((= (to_real @t16) 29/3))) % 0.39/0.56 (step @p16 :rule arith-int-geq-tighten :premises (@p15 @p14) :args (@t1 29/3 10)) % 0.39/0.56 (step @p17 :rule arith_poly_norm :args ((= (* -29/3 (to_real (- @t2 29))) (* -29/1 (- @t17 29/3))))) % 0.39/0.56 (step @p18 :rule arith_poly_norm_rel :premises (@p17) :args ((= (>= @t2 29) (>= @t17 29/3)))) % 0.39/0.56 (step @p19 :rule trans :premises (@p18 @p16)) % 0.39/0.56 (step @p20 :rule arith-elim-leq :args (29 @t2)) % 0.39/0.56 (step @p21 :rule trans :premises (@p20 @p19)) % 0.39/0.56 (step @p22 :rule arith_poly_norm :args ((= (* 10 (- 11 @t19)) (* 10 (- @t18 -10))))) % 0.39/0.56 (step @p23 :rule arith_poly_norm_rel :premises (@p22) :args ((= (>= 11 @t19) (>= @t18 -10)))) % 0.39/0.56 (step @p24 :rule arith-geq-tighten :args (@t1 11)) % 0.39/0.56 (step @p25 :rule trans :premises (@p24 @p23)) % 0.39/0.56 (step @p26 :rule symm :premises (@p25)) % 0.39/0.56 (step @p27 :rule evaluate :args ((+ @t20 1))) % 0.39/0.56 (step @p28 :rule symm :premises (@p27)) % 0.39/0.56 (step @p29 :rule evaluate :args ((= (to_real @t20) -21/2))) % 0.39/0.56 (step @p30 :rule arith-int-geq-tighten :premises (@p29 @p28) :args (@t18 -21/2 -10)) % 0.39/0.56 (step @p31 :rule arith_poly_norm :args ((= (* 21/2 (to_real (- 21 @t3))) (* 21/1 (- @t21 -21/2))))) % 0.39/0.56 (step @p32 :rule arith_poly_norm_rel :premises (@p31) :args ((= (>= 21 @t3) (>= @t21 -21/2)))) % 0.39/0.56 (step @p33 :rule trans :premises (@p32 @p30 @p26)) % 0.39/0.56 (step @p34 :rule arith-elim-leq :args (@t3 21)) % 0.39/0.56 (step @p35 :rule trans :premises (@p34 @p33)) % 0.39/0.56 (step @p36 :rule nary_cong :premises (@p35 @p21) :args (@t4)) % 0.39/0.56 (step @p37 :rule cong :premises (@p36) :args (@t6)) % 0.39/0.56 (step @p38 :rule trans :premises (@p37 @p12)) % 0.39/0.56 (step @p39 :rule cong :premises (@p38) :args (@t7)) % 0.39/0.56 (step @p40 :rule trans :premises (@p39 @p3)) % 0.39/0.56 (step @p41 :rule eq_resolve :premises (@p1 @p40)) % 0.39/0.56 (step @p42 :rule bool-impl-false1 :args (@t11)) % 0.39/0.56 (step @p43 :rule evaluate :args ((or false false))) % 0.39/0.56 (step @p44 :rule evaluate :args ((not true))) % 0.39/0.56 (step @p45 :rule evaluate :args ((>= 10 10))) % 0.39/0.56 (step @p46 :rule refl :args (10)) % 0.39/0.56 (step @p47 :rule evaluate :args (@t22)) % 0.39/0.56 (step @p48 :rule cong :premises (@p47 @p46) :args (@t23)) % 0.39/0.56 (step @p49 :rule trans :premises (@p48 @p45)) % 0.39/0.56 (step @p50 :rule cong :premises (@p49) :args (@t24)) % 0.39/0.56 (step @p51 :rule trans :premises (@p50 @p44)) % 0.39/0.56 (step @p52 :rule evaluate :args ((>= 10 11))) % 0.39/0.56 (step @p53 :rule refl :args (11)) % 0.39/0.56 (step @p54 :rule cong :premises (@p47 @p53) :args (@t25)) % 0.39/0.56 (step @p55 :rule trans :premises (@p54 @p52)) % 0.39/0.56 (step @p56 :rule nary_cong :premises (@p55 @p51) :args (@t26)) % 0.39/0.56 (step @p57 :rule trans :premises (@p56 @p43)) % 0.39/0.56 (step @p58 :rule refl :args (@t11)) % 0.39/0.56 (step @p59 :rule cong :premises (@p58 @p57) :args ((=> @t11 @t26))) % 0.39/0.56 (step @p60 :rule trans :premises (@p59 @p42)) % 0.39/0.56 (assume-push @p67 @t11) % 0.39/0.56 (step @p62 :rule instantiate :premises (@p41) :args ((@list @t22))) % 0.39/0.56 (step-pop @p68 :rule scope :premises (@p62)) % 0.39/0.56 (step @p63 :rule process_scope :premises (@p68) :args (@t26)) % 0.39/0.56 (step @p65 :rule eq_resolve :premises (@p63 @p60)) % 0.39/0.56 (step @p66 false :rule chain_m_resolution :premises (@p65 @p41) :args (false (@list false) (@list @t11))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.56 % cvc5 exiting %------------------------------------------------------------------------------