%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI163_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 : n023.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 08:07:12 AM UTC 2026 % Result : Theorem 0.34s 0.56s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI163_1 : TPTP v9.2.1. Released v5.0.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n023.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 02:26:43 EDT 2026 % 0.17/0.34 % CPUTime : % 0.34/0.50 %----Proving TF0_ARI % 0.34/0.56 --- Run --finite-model-find --decision=internal at 45... % 0.34/0.56 % SZS status Theorem % 0.34/0.56 % SZS output start Proof % 0.34/0.56 ( % 0.34/0.56 (define @t1 () (@var "X" Int)) % 0.34/0.56 (define @t2 () (+ 21 @t1)) % 0.34/0.56 (define @t3 () (= @t2 21)) % 0.34/0.56 (define @t4 () (- 1)) % 0.34/0.56 (define @t5 () (and (< @t4 @t1) (< @t1 1))) % 0.34/0.56 (define @t6 () (=> @t5 @t3)) % 0.34/0.56 (define @t7 () (@list @t1)) % 0.34/0.56 (define @t8 () (forall @t7 @t6)) % 0.34/0.56 (define @t9 () (not @t8)) % 0.34/0.56 (define @t10 () (= @t1 0)) % 0.34/0.56 (define @t11 () (>= @t1 1)) % 0.34/0.56 (define @t12 () (>= @t1 0)) % 0.34/0.56 (define @t13 () (not @t12)) % 0.34/0.56 (define @t14 () (or @t13 @t11 @t10)) % 0.34/0.56 (define @t15 () (not @t11)) % 0.34/0.56 (define @t16 () (and @t12 @t15)) % 0.34/0.56 (define @t17 () (+ @t1 1)) % 0.34/0.56 (define @t18 () (>= @t4 @t1)) % 0.34/0.56 (define @t19 () (@quantifiers_skolemize (forall @t7 @t14) 0)) % 0.34/0.56 (define @t20 () (= @t19 0)) % 0.34/0.56 (define @t21 () (>= @t19 1)) % 0.34/0.56 (define @t22 () (>= @t19 0)) % 0.34/0.56 (define @t23 () (not @t22)) % 0.34/0.56 (define @t24 () (or @t23 @t21 @t20)) % 0.34/0.56 (define @t25 () (@list true)) % 0.34/0.56 (define @t26 () (@list @t24)) % 0.34/0.56 (assume @p1 @t9) % 0.34/0.56 (assume @p2 true) % 0.34/0.56 (step @p3 :rule aci_norm :args ((= (or (or @t13 @t11) @t10) @t14))) % 0.34/0.56 (step @p4 :rule refl :args (@t10)) % 0.34/0.56 (step @p5 :rule bool-double-not-elim :args (@t11)) % 0.34/0.56 (step @p6 :rule refl :args (@t13)) % 0.34/0.56 (step @p7 :rule nary_cong :premises (@p6 @p5) :args ((or @t13 (not @t15)))) % 0.34/0.56 (step @p8 :rule bool-and-de-morgan :args (@t12 @t15 true)) % 0.34/0.56 (step @p9 :rule trans :premises (@p8 @p7)) % 0.34/0.56 (step @p10 :rule nary_cong :premises (@p9 @p4) :args ((or (not @t16) @t10))) % 0.34/0.56 (step @p11 :rule trans :premises (@p10 @p3)) % 0.34/0.56 (step @p12 :rule bool-impl-elim :args (@t16 @t10)) % 0.34/0.56 (step @p13 :rule trans :premises (@p12 @p11)) % 0.34/0.56 (step @p14 :rule cong :premises (@p13) :args ((forall @t7 (=> @t16 @t10)))) % 0.34/0.56 (step @p15 :rule arith_poly_norm :args ((= (* 1 (- @t2 21)) (* 1 (- @t1 0))))) % 0.34/0.56 (step @p16 :rule arith_poly_norm_rel :premises (@p15) :args ((= @t3 @t10))) % 0.34/0.56 (step @p17 :rule arith-elim-lt :args (@t1 1)) % 0.34/0.56 (step @p18 :rule bool-double-not-elim :args (@t12)) % 0.34/0.56 (step @p19 :rule arith_poly_norm :args ((= (* -1 (- 0 @t17)) (* -1 (- -1 @t1))))) % 0.34/0.56 (step @p20 :rule arith_poly_norm_rel :premises (@p19) :args ((= (>= 0 @t17) (>= -1 @t1)))) % 0.34/0.56 (step @p21 :rule arith-geq-tighten :args (@t1 0)) % 0.34/0.56 (step @p22 :rule trans :premises (@p21 @p20)) % 0.34/0.56 (step @p23 :rule symm :premises (@p22)) % 0.34/0.56 (step @p24 :rule refl :args (@t1)) % 0.34/0.56 (step @p25 :rule evaluate :args (@t4)) % 0.34/0.56 (step @p26 :rule cong :premises (@p25 @p24) :args (@t18)) % 0.34/0.56 (step @p27 :rule trans :premises (@p26 @p23)) % 0.34/0.56 (step @p28 :rule cong :premises (@p27) :args ((not @t18))) % 0.34/0.56 (step @p29 :rule trans :premises (@p28 @p18)) % 0.34/0.56 (step @p30 :rule arith-elim-lt :args (@t4 @t1)) % 0.34/0.56 (step @p31 :rule trans :premises (@p30 @p29)) % 0.34/0.56 (step @p32 :rule nary_cong :premises (@p31 @p17) :args (@t5)) % 0.34/0.56 (step @p33 :rule cong :premises (@p32 @p16) :args (@t6)) % 0.34/0.56 (step @p34 :rule cong :premises (@p33) :args (@t8)) % 0.34/0.56 (step @p35 :rule trans :premises (@p34 @p14)) % 0.34/0.56 (step @p36 :rule cong :premises (@p35) :args (@t9)) % 0.34/0.56 (step @p37 :rule eq_resolve :premises (@p1 @p36)) % 0.34/0.56 (step @p38 :rule skolemize :premises (@p37)) % 0.34/0.56 (step @p39 :rule cnf_or_neg :args (@t24 2)) % 0.34/0.56 (step @p40 :rule chain_m_resolution :premises (@p39 @p38) :args ((not @t20) @t25 @t26)) % 0.34/0.56 (step @p41 :rule arith-elim-lt :args (@t19 1)) % 0.34/0.56 (step @p42 :rule symm :premises (@p41)) % 0.34/0.56 (step @p43 :rule cnf_or_neg :args (@t24 1)) % 0.34/0.56 (step @p44 :rule chain_m_resolution :premises (@p43 @p38) :args ((not @t21) @t25 @t26)) % 0.34/0.56 (step @p45 :rule eq_resolve :premises (@p44 @p42)) % 0.34/0.56 (step @p46 :rule int_tight_ub :premises (@p45)) % 0.34/0.56 (step @p47 :rule bool-double-not-elim :args (@t22)) % 0.34/0.56 (step @p48 :rule refl :args (@t24)) % 0.34/0.56 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t24 (not @t23)))) % 0.34/0.56 (step @p50 :rule cnf_or_neg :args (@t24 0)) % 0.34/0.56 (step @p51 :rule eq_resolve :premises (@p50 @p49)) % 0.34/0.56 (step @p52 :rule reordering :premises (@p51) :args ((or @t22 @t24))) % 0.34/0.56 (step @p53 :rule chain_m_resolution :premises (@p52 @p38) :args (@t22 @t25 @t26)) % 0.34/0.56 (step @p54 :rule arith_trichotomy :premises (@p53 @p46)) % 0.34/0.56 (step @p55 false :rule contra :premises (@p54 @p40)) % 0.34/0.56 ) % 0.34/0.56 % SZS output end Proof % 0.34/0.56 % cvc5 exiting %------------------------------------------------------------------------------