%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI581_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 : n021.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 08:07:55 AM UTC 2026 % Result : Theorem 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI581_1 : TPTP v9.2.1. Released v5.1.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n021.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 02:30:50 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_ARI % 0.39/0.58 --- Run --finite-model-find --decision=internal at 45... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (define @t1 () (@var "Y" Int)) % 0.39/0.58 (define @t2 () (@var "X" Int)) % 0.39/0.58 (define @t3 () (+ @t2 @t1)) % 0.39/0.58 (define @t4 () (and (< @t1 3) (< 7 @t3))) % 0.39/0.58 (define @t5 () (@list @t1)) % 0.39/0.58 (define @t6 () (exists @t5 @t4)) % 0.39/0.58 (define @t7 () (=> (< 5 @t2) @t6)) % 0.39/0.58 (define @t8 () (@list @t2)) % 0.39/0.58 (define @t9 () (forall @t8 @t7)) % 0.39/0.58 (define @t10 () (not @t9)) % 0.39/0.58 (define @t11 () (>= @t2 6)) % 0.39/0.58 (define @t12 () (>= @t3 8)) % 0.39/0.58 (define @t13 () (not @t12)) % 0.39/0.58 (define @t14 () (>= @t1 3)) % 0.39/0.58 (define @t15 () (not (forall @t5 (or @t14 @t13)))) % 0.39/0.58 (define @t16 () (not @t14)) % 0.39/0.58 (define @t17 () (and @t16 @t12)) % 0.39/0.58 (define @t18 () (forall @t5 (not @t17))) % 0.39/0.58 (define @t19 () (not @t18)) % 0.39/0.58 (define @t20 () (+ @t3 1)) % 0.39/0.58 (define @t21 () (>= 7 @t3)) % 0.39/0.58 (define @t22 () (+ @t2 1)) % 0.39/0.58 (define @t23 () (>= 5 @t2)) % 0.39/0.58 (define @t24 () (forall @t8 (or (not @t11) @t15))) % 0.39/0.58 (define @t25 () (@quantifiers_skolemize @t24 0)) % 0.39/0.58 (define @t26 () (+ @t1 @t25)) % 0.39/0.58 (define @t27 () (forall @t5 (or @t14 (not (>= @t26 8))))) % 0.39/0.58 (define @t28 () (not @t27)) % 0.39/0.58 (define @t29 () (>= @t25 6)) % 0.39/0.58 (define @t30 () (not @t29)) % 0.39/0.58 (define @t31 () (or @t30 @t28)) % 0.39/0.58 (define @t32 () (not @t31)) % 0.39/0.58 (define @t33 () (not @t24)) % 0.39/0.58 (define @t34 () (+ @t25 @t1)) % 0.39/0.58 (define @t35 () (>= @t34 8)) % 0.39/0.58 (define @t36 () (not @t35)) % 0.39/0.58 (define @t37 () (or @t14 @t36)) % 0.39/0.58 (define @t38 () (forall @t5 @t37)) % 0.39/0.58 (define @t39 () (not @t38)) % 0.39/0.58 (define @t40 () (or @t30 @t39)) % 0.39/0.58 (define @t41 () (not @t40)) % 0.39/0.58 (define @t42 () (@list true)) % 0.39/0.58 (define @t43 () (@list @t31)) % 0.39/0.58 (define @t44 () (+ 2 @t25)) % 0.39/0.58 (define @t45 () (>= @t44 8)) % 0.39/0.58 (define @t46 () (not @t45)) % 0.39/0.58 (define @t47 () (>= 2 3)) % 0.39/0.58 (define @t48 () (or @t47 @t46)) % 0.39/0.58 (assume @p1 @t10) % 0.39/0.58 (assume @p2 true) % 0.39/0.58 (step @p3 :rule bool-impl-elim :args (@t11 @t15)) % 0.39/0.58 (step @p4 :rule cong :premises (@p3) :args ((forall @t8 (=> @t11 @t15)))) % 0.39/0.58 (step @p5 :rule refl :args (@t13)) % 0.39/0.58 (step @p6 :rule bool-double-not-elim :args (@t14)) % 0.39/0.58 (step @p7 :rule nary_cong :premises (@p6 @p5) :args ((or (not @t16) @t13))) % 0.39/0.58 (step @p8 :rule bool-and-de-morgan :args (@t16 @t12 true)) % 0.39/0.58 (step @p9 :rule trans :premises (@p8 @p7)) % 0.39/0.58 (step @p10 :rule cong :premises (@p9) :args (@t18)) % 0.39/0.58 (step @p11 :rule cong :premises (@p10) :args (@t19)) % 0.39/0.58 (step @p12 :rule exists-elim :args ((= (exists @t5 @t17) @t19))) % 0.39/0.58 (step @p13 :rule trans :premises (@p12 @p11)) % 0.39/0.58 (step @p14 :rule bool-double-not-elim :args (@t12)) % 0.39/0.58 (step @p15 :rule arith_poly_norm :args ((= (* 7 (- 8 @t20)) (* 7 (- 7 @t3))))) % 0.39/0.58 (step @p16 :rule arith_poly_norm_rel :premises (@p15) :args ((= (>= 8 @t20) @t21))) % 0.39/0.58 (step @p17 :rule arith-geq-tighten :args (@t3 8)) % 0.39/0.58 (step @p18 :rule trans :premises (@p17 @p16)) % 0.39/0.58 (step @p19 :rule symm :premises (@p18)) % 0.39/0.58 (step @p20 :rule cong :premises (@p19) :args ((not @t21))) % 0.39/0.58 (step @p21 :rule trans :premises (@p20 @p14)) % 0.39/0.58 (step @p22 :rule arith-elim-lt :args (7 @t3)) % 0.39/0.58 (step @p23 :rule trans :premises (@p22 @p21)) % 0.39/0.58 (step @p24 :rule arith-elim-lt :args (@t1 3)) % 0.39/0.58 (step @p25 :rule nary_cong :premises (@p24 @p23) :args (@t4)) % 0.39/0.58 (step @p26 :rule cong :premises (@p25) :args (@t6)) % 0.39/0.58 (step @p27 :rule trans :premises (@p26 @p13)) % 0.39/0.58 (step @p28 :rule bool-double-not-elim :args (@t11)) % 0.39/0.58 (step @p29 :rule arith_poly_norm :args ((= (* 5 (- 6 @t22)) (* 5 (- 5 @t2))))) % 0.39/0.58 (step @p30 :rule arith_poly_norm_rel :premises (@p29) :args ((= (>= 6 @t22) @t23))) % 0.39/0.58 (step @p31 :rule arith-geq-tighten :args (@t2 6)) % 0.39/0.58 (step @p32 :rule trans :premises (@p31 @p30)) % 0.39/0.58 (step @p33 :rule symm :premises (@p32)) % 0.39/0.58 (step @p34 :rule cong :premises (@p33) :args ((not @t23))) % 0.39/0.58 (step @p35 :rule trans :premises (@p34 @p28)) % 0.39/0.58 (step @p36 :rule arith-elim-lt :args (5 @t2)) % 0.39/0.58 (step @p37 :rule trans :premises (@p36 @p35)) % 0.39/0.58 (step @p38 :rule cong :premises (@p37 @p27) :args (@t7)) % 0.39/0.58 (step @p39 :rule cong :premises (@p38) :args (@t9)) % 0.39/0.58 (step @p40 :rule trans :premises (@p39 @p4)) % 0.39/0.58 (step @p41 :rule cong :premises (@p40) :args (@t10)) % 0.39/0.58 (step @p42 :rule eq_resolve :premises (@p1 @p41)) % 0.39/0.58 (step @p43 :rule refl :args (@t32)) % 0.39/0.58 (step @p44 :rule bool-double-not-elim :args (@t24)) % 0.39/0.58 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or (not @t33) @t32))) % 0.39/0.58 (step @p46 :rule refl :args (8)) % 0.39/0.58 (step @p47 :rule arith_poly_norm :args ((= @t34 @t26))) % 0.39/0.58 (step @p48 :rule cong :premises (@p47 @p46) :args (@t35)) % 0.39/0.58 (step @p49 :rule cong :premises (@p48) :args (@t36)) % 0.39/0.58 (step @p50 :rule refl :args (@t14)) % 0.39/0.58 (step @p51 :rule nary_cong :premises (@p50 @p49) :args (@t37)) % 0.39/0.58 (step @p52 :rule cong :premises (@p51) :args (@t38)) % 0.39/0.58 (step @p53 :rule cong :premises (@p52) :args (@t39)) % 0.39/0.58 (step @p54 :rule refl :args (@t30)) % 0.39/0.58 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t40)) % 0.39/0.58 (step @p56 :rule cong :premises (@p55) :args (@t41)) % 0.39/0.58 (step @p57 :rule refl :args (@t33)) % 0.39/0.58 (step @p58 :rule cong :premises (@p57 @p56) :args ((=> @t33 @t41))) % 0.39/0.58 (assume-push @p97 @t33) % 0.39/0.58 (step @p60 :rule skolemize :premises (@p42)) % 0.39/0.58 (step-pop @p98 :rule scope :premises (@p60)) % 0.39/0.58 (step @p61 :rule process_scope :premises (@p98) :args (@t41)) % 0.39/0.58 (step @p63 :rule eq_resolve :premises (@p61 @p58)) % 0.39/0.58 (step @p64 :rule implies_elim :premises (@p63)) % 0.39/0.58 (step @p65 :rule eq_resolve :premises (@p64 @p45)) % 0.39/0.58 (step @p66 :rule chain_m_resolution :premises (@p65 @p42) :args (@t32 @t42 (@list @t24))) % 0.39/0.58 (step @p67 :rule bool-double-not-elim :args (@t29)) % 0.39/0.58 (step @p68 :rule refl :args (@t31)) % 0.39/0.58 (step @p69 :rule nary_cong :premises (@p68 @p67) :args ((or @t31 (not @t30)))) % 0.39/0.58 (step @p70 :rule cnf_or_neg :args (@t31 0)) % 0.39/0.58 (step @p71 :rule eq_resolve :premises (@p70 @p69)) % 0.39/0.58 (step @p72 :rule reordering :premises (@p71) :args ((or @t29 @t31))) % 0.39/0.58 (step @p73 :rule chain_m_resolution :premises (@p72 @p66) :args (@t29 @t42 @t43)) % 0.39/0.58 (step @p74 :rule bool-double-not-elim :args (@t27)) % 0.39/0.58 (step @p75 :rule nary_cong :premises (@p68 @p74) :args ((or @t31 (not @t28)))) % 0.39/0.58 (step @p76 :rule cnf_or_neg :args (@t31 1)) % 0.39/0.58 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.39/0.58 (step @p78 :rule reordering :premises (@p77) :args ((or @t27 @t31))) % 0.39/0.58 (step @p79 :rule chain_m_resolution :premises (@p78 @p66) :args (@t27 @t42 @t43)) % 0.39/0.58 (step @p80 :rule aci_norm :args ((= (or false @t30) @t30))) % 0.39/0.58 (step @p81 :rule arith_poly_norm :args ((= (* -6 (- @t44 8)) (* -6 (- @t25 6))))) % 0.39/0.58 (step @p82 :rule arith_poly_norm_rel :premises (@p81) :args ((= @t45 @t29))) % 0.39/0.58 (step @p83 :rule cong :premises (@p82) :args (@t46)) % 0.39/0.58 (step @p84 :rule evaluate :args (@t47)) % 0.39/0.58 (step @p85 :rule nary_cong :premises (@p84 @p83) :args (@t48)) % 0.39/0.58 (step @p86 :rule trans :premises (@p85 @p80)) % 0.39/0.58 (step @p87 :rule refl :args (@t27)) % 0.39/0.58 (step @p88 :rule cong :premises (@p87 @p86) :args ((=> @t27 @t48))) % 0.39/0.58 (assume-push @p99 @t27) % 0.39/0.58 (step @p90 :rule instantiate :premises (@p79) :args ((@list 2))) % 0.39/0.58 (step-pop @p100 :rule scope :premises (@p90)) % 0.39/0.58 (step @p91 :rule process_scope :premises (@p100) :args (@t48)) % 0.39/0.58 (step @p93 :rule eq_resolve :premises (@p91 @p88)) % 0.39/0.58 (step @p94 :rule implies_elim :premises (@p93)) % 0.39/0.58 (step @p95 :rule reordering :premises (@p94) :args (@t31)) % 0.39/0.58 (step @p96 false :rule chain_m_resolution :premises (@p95 @p79 @p73) :args (false (@list false false) (@list @t27 @t29))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------