%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI580_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 : n007.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 0.32s 0.55s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI580_1 : TPTP v9.2.1. Released v5.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n007.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 02:28:56 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.48 %----Proving TF0_ARI % 0.32/0.55 --- Run --finite-model-find --decision=internal at 45... % 0.32/0.55 % SZS status Theorem % 0.32/0.55 % SZS output start Proof % 0.32/0.55 ( % 0.32/0.55 (define @t1 () (@var "X" Int)) % 0.32/0.55 (define @t2 () (+ @t1 3)) % 0.32/0.55 (define @t3 () (@var "Y" Int)) % 0.32/0.55 (define @t4 () (and (< @t1 @t3) (< @t3 @t2))) % 0.32/0.55 (define @t5 () (@list @t3)) % 0.32/0.55 (define @t6 () (exists @t5 @t4)) % 0.32/0.55 (define @t7 () (@list @t1)) % 0.32/0.55 (define @t8 () (forall @t7 @t6)) % 0.32/0.55 (define @t9 () (not @t8)) % 0.32/0.55 (define @t10 () (* -1 @t3)) % 0.32/0.55 (define @t11 () (+ @t1 @t10)) % 0.32/0.55 (define @t12 () (>= @t11 -2)) % 0.32/0.55 (define @t13 () (not @t12)) % 0.32/0.55 (define @t14 () (>= @t11 0)) % 0.32/0.55 (define @t15 () (not @t14)) % 0.32/0.55 (define @t16 () (and @t15 @t12)) % 0.32/0.55 (define @t17 () (forall @t5 (not @t16))) % 0.32/0.55 (define @t18 () (not @t17)) % 0.32/0.55 (define @t19 () (+ 3 @t1)) % 0.32/0.55 (define @t20 () (+ @t11 1)) % 0.32/0.55 (define @t21 () (>= @t3 @t2)) % 0.32/0.55 (define @t22 () (>= @t1 @t3)) % 0.32/0.55 (define @t23 () (forall @t7 (not (forall @t5 (or @t14 @t13))))) % 0.32/0.55 (define @t24 () (@quantifiers_skolemize @t23 0)) % 0.32/0.55 (define @t25 () (* -1 @t24)) % 0.32/0.55 (define @t26 () (+ @t3 @t25)) % 0.32/0.55 (define @t27 () (>= @t26 3)) % 0.32/0.55 (define @t28 () (forall @t5 (or (not (>= @t26 1)) @t27))) % 0.32/0.55 (define @t29 () (not @t23)) % 0.32/0.55 (define @t30 () (+ @t10 @t24)) % 0.32/0.55 (define @t31 () (+ @t26 1)) % 0.32/0.55 (define @t32 () (+ @t24 @t10)) % 0.32/0.55 (define @t33 () (>= @t32 -2)) % 0.32/0.55 (define @t34 () (not @t33)) % 0.32/0.55 (define @t35 () (>= @t32 0)) % 0.32/0.55 (define @t36 () (or @t35 @t34)) % 0.32/0.55 (define @t37 () (forall @t5 @t36)) % 0.32/0.55 (define @t38 () (not (not @t37))) % 0.32/0.55 (define @t39 () (+ @t25 @t24 2)) % 0.32/0.55 (define @t40 () (+ 2 @t24)) % 0.32/0.55 (define @t41 () (+ @t40 @t25)) % 0.32/0.55 (define @t42 () (>= @t41 3)) % 0.32/0.55 (define @t43 () (>= @t41 1)) % 0.32/0.55 (define @t44 () (not @t43)) % 0.32/0.55 (define @t45 () (or @t44 @t42)) % 0.32/0.55 (assume @p1 @t9) % 0.32/0.55 (assume @p2 true) % 0.32/0.55 (step @p3 :rule refl :args (@t13)) % 0.32/0.55 (step @p4 :rule bool-double-not-elim :args (@t14)) % 0.32/0.55 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or (not @t15) @t13))) % 0.32/0.55 (step @p6 :rule bool-and-de-morgan :args (@t15 @t12 true)) % 0.32/0.55 (step @p7 :rule trans :premises (@p6 @p5)) % 0.32/0.55 (step @p8 :rule cong :premises (@p7) :args (@t17)) % 0.32/0.55 (step @p9 :rule cong :premises (@p8) :args (@t18)) % 0.32/0.55 (step @p10 :rule exists-elim :args ((= (exists @t5 @t16) @t18))) % 0.32/0.55 (step @p11 :rule trans :premises (@p10 @p9)) % 0.32/0.55 (step @p12 :rule bool-double-not-elim :args (@t12)) % 0.32/0.55 (step @p13 :rule arith_poly_norm :args ((= (* -3 (- -2 @t20)) (* -3 (- @t3 @t19))))) % 0.32/0.55 (step @p14 :rule arith_poly_norm_rel :premises (@p13) :args ((= (>= -2 @t20) (>= @t3 @t19)))) % 0.32/0.55 (step @p15 :rule arith-geq-tighten :args (@t11 -2)) % 0.32/0.55 (step @p16 :rule trans :premises (@p15 @p14)) % 0.32/0.55 (step @p17 :rule symm :premises (@p16)) % 0.32/0.55 (step @p18 :rule arith_poly_norm :args ((= @t2 @t19))) % 0.32/0.55 (step @p19 :rule refl :args (@t3)) % 0.32/0.55 (step @p20 :rule cong :premises (@p19 @p18) :args (@t21)) % 0.32/0.55 (step @p21 :rule trans :premises (@p20 @p17)) % 0.32/0.55 (step @p22 :rule cong :premises (@p21) :args ((not @t21))) % 0.32/0.55 (step @p23 :rule trans :premises (@p22 @p12)) % 0.32/0.55 (step @p24 :rule arith-elim-lt :args (@t3 @t2)) % 0.32/0.55 (step @p25 :rule trans :premises (@p24 @p23)) % 0.32/0.55 (step @p26 :rule arith_poly_norm :args ((= (* 1 (- @t1 @t3)) (* 1 (- @t11 0))))) % 0.32/0.55 (step @p27 :rule arith_poly_norm_rel :premises (@p26) :args ((= @t22 @t14))) % 0.32/0.55 (step @p28 :rule cong :premises (@p27) :args ((not @t22))) % 0.32/0.55 (step @p29 :rule arith-elim-lt :args (@t1 @t3)) % 0.32/0.55 (step @p30 :rule trans :premises (@p29 @p28)) % 0.32/0.55 (step @p31 :rule nary_cong :premises (@p30 @p25) :args (@t4)) % 0.32/0.55 (step @p32 :rule cong :premises (@p31) :args (@t6)) % 0.32/0.55 (step @p33 :rule trans :premises (@p32 @p11)) % 0.32/0.55 (step @p34 :rule cong :premises (@p33) :args (@t8)) % 0.32/0.55 (step @p35 :rule cong :premises (@p34) :args (@t9)) % 0.32/0.55 (step @p36 :rule eq_resolve :premises (@p1 @p35)) % 0.32/0.55 (step @p37 :rule refl :args (@t28)) % 0.32/0.55 (step @p38 :rule bool-double-not-elim :args (@t23)) % 0.32/0.55 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or (not @t29) @t28))) % 0.32/0.55 (step @p40 :rule bool-double-not-elim :args (@t27)) % 0.32/0.55 (step @p41 :rule arith_poly_norm :args ((= (* 2 (- 3 @t31)) (* 2 (- @t30 -2))))) % 0.32/0.55 (step @p42 :rule arith_poly_norm_rel :premises (@p41) :args ((= (>= 3 @t31) (>= @t30 -2)))) % 0.32/0.55 (step @p43 :rule arith-geq-tighten :args (@t26 3)) % 0.32/0.55 (step @p44 :rule trans :premises (@p43 @p42)) % 0.32/0.55 (step @p45 :rule symm :premises (@p44)) % 0.32/0.55 (step @p46 :rule refl :args (-2)) % 0.32/0.55 (step @p47 :rule arith_poly_norm :args ((= @t32 @t30))) % 0.32/0.55 (step @p48 :rule cong :premises (@p47 @p46) :args (@t33)) % 0.40/0.55 (step @p49 :rule trans :premises (@p48 @p45)) % 0.40/0.55 (step @p50 :rule cong :premises (@p49) :args (@t34)) % 0.40/0.55 (step @p51 :rule trans :premises (@p50 @p40)) % 0.40/0.55 (step @p52 :rule arith_poly_norm :args ((= (* -1 (- 1 @t31)) (* -1 (- @t30 0))))) % 0.40/0.55 (step @p53 :rule arith_poly_norm_rel :premises (@p52) :args ((= (>= 1 @t31) (>= @t30 0)))) % 0.40/0.55 (step @p54 :rule arith-geq-tighten :args (@t26 1)) % 0.40/0.55 (step @p55 :rule trans :premises (@p54 @p53)) % 0.40/0.55 (step @p56 :rule symm :premises (@p55)) % 0.40/0.55 (step @p57 :rule refl :args (0)) % 0.40/0.55 (step @p58 :rule cong :premises (@p47 @p57) :args (@t35)) % 0.40/0.55 (step @p59 :rule trans :premises (@p58 @p56)) % 0.40/0.55 (step @p60 :rule nary_cong :premises (@p59 @p51) :args (@t36)) % 0.40/0.55 (step @p61 :rule cong :premises (@p60) :args (@t37)) % 0.40/0.55 (step @p62 :rule bool-double-not-elim :args (@t37)) % 0.40/0.55 (step @p63 :rule trans :premises (@p62 @p61)) % 0.40/0.55 (step @p64 :rule refl :args (@t29)) % 0.40/0.55 (step @p65 :rule cong :premises (@p64 @p63) :args ((=> @t29 @t38))) % 0.40/0.55 (assume-push @p100 @t29) % 0.40/0.55 (step @p67 :rule skolemize :premises (@p36)) % 0.40/0.55 (step-pop @p101 :rule scope :premises (@p67)) % 0.40/0.55 (step @p68 :rule process_scope :premises (@p101) :args (@t38)) % 0.40/0.55 (step @p70 :rule eq_resolve :premises (@p68 @p65)) % 0.40/0.55 (step @p71 :rule implies_elim :premises (@p70)) % 0.40/0.55 (step @p72 :rule eq_resolve :premises (@p71 @p39)) % 0.40/0.55 (step @p73 :rule chain_m_resolution :premises (@p72 @p36) :args (@t28 (@list true) (@list @t23))) % 0.40/0.55 (step @p74 :rule bool-impl-false1 :args (@t28)) % 0.40/0.55 (step @p75 :rule evaluate :args ((or false false))) % 0.40/0.55 (step @p76 :rule evaluate :args ((>= 2 3))) % 0.40/0.55 (step @p77 :rule refl :args (3)) % 0.40/0.55 (step @p78 :rule arith_poly_norm :args ((= @t39 2))) % 0.40/0.55 (step @p79 :rule arith_poly_norm :args ((= @t41 @t39))) % 0.40/0.55 (step @p80 :rule trans :premises (@p79 @p78)) % 0.40/0.55 (step @p81 :rule cong :premises (@p80 @p77) :args (@t42)) % 0.40/0.55 (step @p82 :rule trans :premises (@p81 @p76)) % 0.40/0.55 (step @p83 :rule evaluate :args ((not true))) % 0.40/0.55 (step @p84 :rule evaluate :args ((>= 2 1))) % 0.40/0.55 (step @p85 :rule refl :args (1)) % 0.40/0.55 (step @p86 :rule cong :premises (@p80 @p85) :args (@t43)) % 0.40/0.55 (step @p87 :rule trans :premises (@p86 @p84)) % 0.40/0.55 (step @p88 :rule cong :premises (@p87) :args (@t44)) % 0.40/0.56 (step @p89 :rule trans :premises (@p88 @p83)) % 0.40/0.56 (step @p90 :rule nary_cong :premises (@p89 @p82) :args (@t45)) % 0.40/0.56 (step @p91 :rule trans :premises (@p90 @p75)) % 0.40/0.56 (step @p92 :rule cong :premises (@p37 @p91) :args ((=> @t28 @t45))) % 0.40/0.56 (step @p93 :rule trans :premises (@p92 @p74)) % 0.40/0.56 (assume-push @p102 @t28) % 0.40/0.56 (step @p95 :rule instantiate :premises (@p73) :args ((@list @t40))) % 0.40/0.56 (step-pop @p103 :rule scope :premises (@p95)) % 0.40/0.56 (step @p96 :rule process_scope :premises (@p103) :args (@t45)) % 0.40/0.56 (step @p98 :rule eq_resolve :premises (@p96 @p93)) % 0.40/0.56 (step @p99 false :rule chain_m_resolution :premises (@p98 @p73) :args (false (@list false) (@list @t28))) % 0.40/0.56 ) % 0.40/0.56 % SZS output end Proof % 0.40/0.56 % cvc5 exiting %------------------------------------------------------------------------------