%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI599_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 : n009.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 08:07:57 AM UTC 2026 % Result : Theorem 0.28s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : ARI599_1 : TPTP v9.2.1. Released v5.1.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n009.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 02:29:44 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_ARI % 0.28/0.56 --- Run --finite-model-find --decision=internal at 45... % 0.28/0.56 % SZS status Theorem % 0.28/0.56 % SZS output start Proof % 0.28/0.56 ( % 0.28/0.56 (declare-const tptp.f (-> Int Int Int)) % 0.28/0.56 (declare-const tptp.b Int) % 0.28/0.56 (declare-const tptp.a Int) % 0.28/0.56 (define @t1 () (tptp.f tptp.a tptp.b)) % 0.28/0.56 (define @t2 () (= @t1 (tptp.f tptp.b tptp.a))) % 0.28/0.56 (define @t3 () (* 3 tptp.a)) % 0.28/0.56 (define @t4 () (* 3 tptp.b)) % 0.28/0.56 (define @t5 () (* 2 tptp.b)) % 0.28/0.56 (define @t6 () (* 2 tptp.a)) % 0.28/0.56 (define @t7 () (and (<= @t6 @t5) (<= @t4 @t3))) % 0.28/0.56 (define @t8 () (=> @t7 @t2)) % 0.28/0.56 (define @t9 () (not @t8)) % 0.28/0.56 (define @t10 () (+ tptp.a (* -1 tptp.b))) % 0.28/0.56 (define @t11 () (- @t10 0)) % 0.28/0.56 (define @t12 () (>= @t10 0)) % 0.28/0.56 (define @t13 () (to_int 1/2)) % 0.28/0.56 (define @t14 () (to_real @t10)) % 0.28/0.56 (define @t15 () (+ @t5 1)) % 0.28/0.56 (define @t16 () (>= @t6 @t15)) % 0.28/0.56 (define @t17 () (not @t12)) % 0.28/0.56 (define @t18 () (>= @t10 1)) % 0.28/0.56 (define @t19 () (not @t18)) % 0.28/0.56 (define @t20 () (= tptp.a tptp.b)) % 0.28/0.56 (define @t21 () (= (* 1 @t11) (* 1 (- tptp.a tptp.b)))) % 0.28/0.56 (define @t22 () (= (= @t10 0) @t20)) % 0.28/0.56 (define @t23 () (and @t19 @t12)) % 0.28/0.56 (assume @p1 @t9) % 0.28/0.56 (assume @p2 true) % 0.28/0.56 (step @p3 :rule refl :args (@t2)) % 0.28/0.56 (step @p4 :rule arith_poly_norm :args ((= (* 1 (- @t3 @t4)) (* 3 @t11)))) % 0.28/0.56 (step @p5 :rule arith_poly_norm_rel :premises (@p4) :args ((= (>= @t3 @t4) @t12))) % 0.28/0.56 (step @p6 :rule arith-elim-leq :args (@t4 @t3)) % 0.28/0.56 (step @p7 :rule trans :premises (@p6 @p5)) % 0.28/0.56 (step @p8 :rule evaluate :args ((+ @t13 1))) % 0.28/0.56 (step @p9 :rule symm :premises (@p8)) % 0.28/0.56 (step @p10 :rule evaluate :args ((= (to_real @t13) 1/2))) % 0.28/0.56 (step @p11 :rule arith-int-geq-tighten :premises (@p10 @p9) :args (@t10 1/2 1)) % 0.28/0.56 (step @p12 :rule arith_poly_norm :args ((= (* -1/2 (to_real (- @t6 @t15))) (* -1/1 (- @t14 1/2))))) % 0.28/0.56 (step @p13 :rule arith_poly_norm_rel :premises (@p12) :args ((= @t16 (>= @t14 1/2)))) % 0.28/0.56 (step @p14 :rule trans :premises (@p13 @p11)) % 0.28/0.56 (step @p15 :rule cong :premises (@p14) :args ((not @t16))) % 0.28/0.56 (step @p16 :rule arith-leq-norm :args (@t6 @t5)) % 0.28/0.56 (step @p17 :rule trans :premises (@p16 @p15)) % 0.28/0.56 (step @p18 :rule nary_cong :premises (@p17 @p7) :args (@t7)) % 0.28/0.56 (step @p19 :rule cong :premises (@p18 @p3) :args (@t8)) % 0.28/0.56 (step @p20 :rule cong :premises (@p19) :args (@t9)) % 0.28/0.56 (step @p21 :rule eq_resolve :premises (@p1 @p20)) % 0.28/0.56 (step @p22 :rule not_implies_elim1 :premises (@p21)) % 0.28/0.56 (step @p23 :rule and_elim :premises (@p22) :args (0)) % 0.28/0.56 (step @p24 :rule and_elim :premises (@p22) :args (1)) % 0.28/0.56 (step @p25 :rule not_implies_elim2 :premises (@p21)) % 0.28/0.56 (step @p26 :rule refl :args (@t17)) % 0.28/0.56 (step @p27 :rule bool-double-not-elim :args (@t18)) % 0.28/0.56 (step @p28 :rule nary_cong :premises (@p27 @p26 @p3) :args ((or (not @t19) @t17 @t2))) % 0.28/0.56 (assume-push @p55 @t19) % 0.28/0.56 (assume-push @p56 @t12) % 0.28/0.56 (assume-push @p57 @t20) % 0.28/0.56 (step @p32 :rule arith_poly_norm :args (@t21)) % 0.28/0.56 (step @p33 :rule arith_poly_norm_rel :premises (@p32) :args (@t22)) % 0.28/0.56 (step @p34 :rule arith-elim-lt :args (@t10 1)) % 0.28/0.56 (step @p35 :rule symm :premises (@p34)) % 0.28/0.56 (step @p36 :rule eq_resolve :premises (@p23 @p35)) % 0.28/0.56 (step @p37 :rule int_tight_ub :premises (@p36)) % 0.28/0.56 (step @p38 :rule arith_trichotomy :premises (@p24 @p37)) % 0.28/0.56 (step @p39 :rule eq_resolve :premises (@p38 @p33)) % 0.28/0.56 (step @p40 :rule symm :premises (@p39)) % 0.28/0.56 (step @p41 :rule cong :premises (@p39 @p40) :args (@t1)) % 0.28/0.56 (step-pop @p58 :rule scope :premises (@p41)) % 0.28/0.56 (step @p42 :rule process_scope :premises (@p58) :args (@t2)) % 0.28/0.56 (step @p32 :rule arith_poly_norm :args (@t21)) % 0.28/0.56 (step @p33 :rule arith_poly_norm_rel :premises (@p32) :args (@t22)) % 0.28/0.56 (step @p34 :rule arith-elim-lt :args (@t10 1)) % 0.28/0.56 (step @p35 :rule symm :premises (@p34)) % 0.28/0.56 (step @p36 :rule eq_resolve :premises (@p23 @p35)) % 0.28/0.56 (step @p37 :rule int_tight_ub :premises (@p36)) % 0.28/0.56 (step @p38 :rule arith_trichotomy :premises (@p24 @p37)) % 0.28/0.56 (step @p44 :rule eq_resolve :premises (@p38 @p33)) % 0.28/0.56 (step @p45 :rule modus_ponens :premises (@p44 @p42)) % 0.28/0.56 (step-pop @p59 :rule scope :premises (@p45)) % 0.28/0.56 (step-pop @p60 :rule scope :premises (@p59)) % 0.28/0.56 (step @p46 :rule process_scope :premises (@p60) :args (@t2)) % 0.28/0.56 (step @p49 :rule implies_elim :premises (@p46)) % 0.28/0.56 (step @p50 :rule cnf_and_neg :args (@t23)) % 0.28/0.56 (step @p51 :rule resolution :premises (@p50 @p49) :args (true @t23)) % 0.28/0.56 (step @p52 :rule eq_resolve :premises (@p51 @p28)) % 0.28/0.56 (step @p53 :rule reordering :premises (@p52) :args ((or @t2 @t18 @t17))) % 0.28/0.56 (step @p54 false :rule chain_m_resolution :premises (@p53 @p25 @p24 @p23) :args (false (@list true false true) (@list @t2 @t12 @t18))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting 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