%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI570_1 : TPTP v9.2.1. Released v5.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:07:53 AM UTC 2026 % Result : Theorem 0.33s 0.57s % Output : Proof 0.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ARI570_1 : TPTP v9.2.1. Released v5.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n005.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 02:29:33 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_ARI % 0.33/0.57 --- Run --finite-model-find --decision=internal at 45... % 0.33/0.57 % SZS status Theorem % 0.33/0.57 % SZS output start Proof % 0.33/0.57 ( % 0.33/0.57 (define @t1 () (@var "X" Int)) % 0.33/0.57 (define @t2 () (+ @t1 3)) % 0.33/0.57 (define @t3 () (@var "Y" Int)) % 0.33/0.57 (define @t4 () (=> (< @t3 @t1) (< @t3 @t2))) % 0.33/0.57 (define @t5 () (@list @t1 @t3)) % 0.33/0.57 (define @t6 () (forall @t5 @t4)) % 0.33/0.57 (define @t7 () (not @t6)) % 0.33/0.57 (define @t8 () (* -1 1)) % 0.33/0.57 (define @t9 () (+ -3 @t8)) % 0.33/0.57 (define @t10 () (+ @t1 (* -1 @t3))) % 0.33/0.57 (define @t11 () (>= @t10 -2)) % 0.33/0.57 (define @t12 () (>= @t10 1)) % 0.33/0.57 (define @t13 () (forall @t5 (or (not @t12) @t11))) % 0.33/0.57 (define @t14 () (@quantifiers_skolemize @t13 0)) % 0.33/0.57 (define @t15 () (* 0 @t14)) % 0.33/0.57 (define @t16 () (@quantifiers_skolemize @t13 1)) % 0.33/0.57 (define @t17 () (* 0 @t16)) % 0.33/0.57 (define @t18 () (+ @t17 @t15)) % 0.33/0.57 (define @t19 () (+ @t14 (* -1 @t16))) % 0.33/0.57 (define @t20 () (+ @t19 (* -1 @t19))) % 0.33/0.57 (define @t21 () (>= @t19 1)) % 0.33/0.57 (define @t22 () (+ 3 @t1)) % 0.33/0.57 (define @t23 () (+ @t10 1)) % 0.33/0.57 (define @t24 () (>= @t3 @t2)) % 0.33/0.57 (define @t25 () (>= @t3 @t1)) % 0.33/0.57 (define @t26 () (>= @t19 -2)) % 0.33/0.57 (define @t27 () (not @t21)) % 0.33/0.57 (define @t28 () (or @t27 @t26)) % 0.33/0.57 (define @t29 () (@list true)) % 0.33/0.57 (define @t30 () (@list @t28)) % 0.33/0.57 (assume @p1 @t7) % 0.33/0.57 (assume @p2 true) % 0.33/0.57 (step @p3 :rule evaluate :args ((<= 0 -4))) % 0.33/0.57 (step @p4 :rule evaluate :args ((+ -3 -1))) % 0.33/0.57 (step @p5 :rule evaluate :args (@t8)) % 0.33/0.57 (step @p6 :rule refl :args (-3)) % 0.33/0.57 (step @p7 :rule nary_cong :premises (@p6 @p5) :args (@t9)) % 0.33/0.57 (step @p8 :rule trans :premises (@p7 @p4)) % 0.33/0.57 (step @p9 :rule evaluate :args ((+ 0 0))) % 0.33/0.57 (step @p10 :rule arith_poly_norm :args ((= @t15 0))) % 0.33/0.57 (step @p11 :rule arith_poly_norm :args ((= @t17 0))) % 0.33/0.57 (step @p12 :rule nary_cong :premises (@p11 @p10) :args (@t18)) % 0.33/0.57 (step @p13 :rule trans :premises (@p12 @p9)) % 0.33/0.57 (step @p14 :rule arith_poly_norm :args ((= @t20 @t18))) % 0.33/0.57 (step @p15 :rule trans :premises (@p14 @p13)) % 0.33/0.57 (step @p16 :rule cong :premises (@p15 @p8) :args ((<= @t20 @t9))) % 0.33/0.57 (step @p17 :rule trans :premises (@p16 @p3)) % 0.33/0.57 (step @p18 :rule arith_mult_neg :args (-1 @t21)) % 0.33/0.57 (step @p19 :rule bool-impl-elim :args (@t12 @t11)) % 0.33/0.57 (step @p20 :rule cong :premises (@p19) :args ((forall @t5 (=> @t12 @t11)))) % 0.33/0.57 (step @p21 :rule bool-double-not-elim :args (@t11)) % 0.33/0.57 (step @p22 :rule arith_poly_norm :args ((= (* -3 (- -2 @t23)) (* -3 (- @t3 @t22))))) % 0.33/0.57 (step @p23 :rule arith_poly_norm_rel :premises (@p22) :args ((= (>= -2 @t23) (>= @t3 @t22)))) % 0.33/0.57 (step @p24 :rule arith-geq-tighten :args (@t10 -2)) % 0.33/0.57 (step @p25 :rule trans :premises (@p24 @p23)) % 0.33/0.57 (step @p26 :rule symm :premises (@p25)) % 0.33/0.57 (step @p27 :rule arith_poly_norm :args ((= @t2 @t22))) % 0.33/0.57 (step @p28 :rule refl :args (@t3)) % 0.33/0.57 (step @p29 :rule cong :premises (@p28 @p27) :args (@t24)) % 0.33/0.57 (step @p30 :rule trans :premises (@p29 @p26)) % 0.33/0.57 (step @p31 :rule cong :premises (@p30) :args ((not @t24))) % 0.33/0.57 (step @p32 :rule trans :premises (@p31 @p21)) % 0.33/0.57 (step @p33 :rule arith-elim-lt :args (@t3 @t2)) % 0.33/0.57 (step @p34 :rule trans :premises (@p33 @p32)) % 0.33/0.57 (step @p35 :rule bool-double-not-elim :args (@t12)) % 0.33/0.57 (step @p36 :rule arith_poly_norm :args ((= (* -1 (- 1 @t23)) (* -1 (- @t3 @t1))))) % 0.33/0.57 (step @p37 :rule arith_poly_norm_rel :premises (@p36) :args ((= (>= 1 @t23) @t25))) % 0.33/0.57 (step @p38 :rule arith-geq-tighten :args (@t10 1)) % 0.33/0.57 (step @p39 :rule trans :premises (@p38 @p37)) % 0.33/0.57 (step @p40 :rule symm :premises (@p39)) % 0.33/0.57 (step @p41 :rule cong :premises (@p40) :args ((not @t25))) % 0.33/0.57 (step @p42 :rule trans :premises (@p41 @p35)) % 0.33/0.57 (step @p43 :rule arith-elim-lt :args (@t3 @t1)) % 0.33/0.57 (step @p44 :rule trans :premises (@p43 @p42)) % 0.33/0.57 (step @p45 :rule cong :premises (@p44 @p34) :args (@t4)) % 0.33/0.57 (step @p46 :rule cong :premises (@p45) :args (@t6)) % 0.33/0.57 (step @p47 :rule trans :premises (@p46 @p20)) % 0.33/0.57 (step @p48 :rule cong :premises (@p47) :args (@t7)) % 0.33/0.57 (step @p49 :rule eq_resolve :premises (@p1 @p48)) % 0.33/0.57 (step @p50 :rule skolemize :premises (@p49)) % 0.33/0.57 (step @p51 :rule bool-double-not-elim :args (@t21)) % 0.33/0.57 (step @p52 :rule refl :args (@t28)) % 0.33/0.57 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or @t28 (not @t27)))) % 0.33/0.57 (step @p54 :rule cnf_or_neg :args (@t28 0)) % 0.33/0.57 (step @p55 :rule eq_resolve :premises (@p54 @p53)) % 0.33/0.57 (step @p56 :rule reordering :premises (@p55) :args ((or @t21 @t28))) % 0.33/0.57 (step @p57 :rule chain_m_resolution :premises (@p56 @p50) :args (@t21 @t29 @t30)) % 0.33/0.57 (step @p58 :rule evaluate :args ((< -1 0))) % 0.33/0.57 (step @p59 :rule true_elim :premises (@p58)) % 0.33/0.57 (step @p60 :rule and_intro :premises (@p59 @p57)) % 0.33/0.57 (step @p61 :rule modus_ponens :premises (@p60 @p18)) % 0.33/0.57 (step @p62 :rule arith-elim-lt :args (@t19 -2)) % 0.33/0.57 (step @p63 :rule symm :premises (@p62)) % 0.33/0.57 (step @p64 :rule cnf_or_neg :args (@t28 1)) % 0.33/0.57 (step @p65 :rule chain_m_resolution :premises (@p64 @p50) :args ((not @t26) @t29 @t30)) % 0.33/0.57 (step @p66 :rule eq_resolve :premises (@p65 @p63)) % 0.33/0.57 (step @p67 :rule int_tight_ub :premises (@p66)) % 0.33/0.57 (step @p68 :rule arith_sum_ub :premises (@p67 @p61)) % 0.33/0.57 (step @p69 false :rule eq_resolve :premises (@p68 @p17)) % 0.33/0.57 ) % 0.33/0.57 % SZS output end Proof % 0.33/0.57 % cvc5 exiting %------------------------------------------------------------------------------