%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI591_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 : 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 08:07:56 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 : ARI591_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 % 0.16/0.35 % Computer : n023.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 02:30:43 EDT 2026 % 0.16/0.35 % CPUTime : % 0.33/0.50 %----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 () (@var "Y" Int)) % 0.33/0.57 (define @t3 () (= @t2 @t1)) % 0.33/0.57 (define @t4 () (not @t3)) % 0.33/0.57 (define @t5 () (and (< 0 @t1) (< @t1 3) @t4)) % 0.33/0.57 (define @t6 () (@list @t1)) % 0.33/0.57 (define @t7 () (exists @t6 @t5)) % 0.33/0.57 (define @t8 () (@list @t2)) % 0.33/0.57 (define @t9 () (forall @t8 @t7)) % 0.33/0.57 (define @t10 () (not @t9)) % 0.33/0.57 (define @t11 () (>= @t1 3)) % 0.33/0.57 (define @t12 () (>= @t1 1)) % 0.33/0.57 (define @t13 () (not @t12)) % 0.33/0.57 (define @t14 () (not @t4)) % 0.33/0.57 (define @t15 () (not @t11)) % 0.33/0.57 (define @t16 () (not @t15)) % 0.33/0.57 (define @t17 () (or @t13 @t16 @t14)) % 0.33/0.57 (define @t18 () (and @t12 @t15 @t4)) % 0.33/0.57 (define @t19 () (forall @t6 (not @t18))) % 0.33/0.57 (define @t20 () (not @t19)) % 0.33/0.57 (define @t21 () (+ @t1 1)) % 0.33/0.57 (define @t22 () (>= 0 @t1)) % 0.33/0.57 (define @t23 () (forall @t8 (not (forall @t6 (or @t13 @t11 @t3))))) % 0.33/0.57 (define @t24 () (@quantifiers_skolemize @t23 0)) % 0.33/0.57 (define @t25 () (= @t1 @t24)) % 0.33/0.57 (define @t26 () (forall @t6 (or @t13 @t11 @t25))) % 0.33/0.57 (define @t27 () (not @t23)) % 0.33/0.57 (define @t28 () (= @t24 @t1)) % 0.33/0.57 (define @t29 () (or @t13 @t11 @t28)) % 0.33/0.57 (define @t30 () (forall @t6 @t29)) % 0.33/0.57 (define @t31 () (not (not @t30))) % 0.33/0.57 (define @t32 () (= @t24 1)) % 0.33/0.57 (define @t33 () (= 1 @t24)) % 0.33/0.57 (define @t34 () (>= 1 3)) % 0.33/0.57 (define @t35 () (>= 1 1)) % 0.33/0.57 (define @t36 () (not @t35)) % 0.33/0.57 (define @t37 () (or @t36 @t34 @t33)) % 0.33/0.57 (define @t38 () (@list false)) % 0.33/0.57 (define @t39 () (@list @t26)) % 0.33/0.57 (define @t40 () (= @t24 2)) % 0.33/0.57 (define @t41 () (= 2 @t24)) % 0.33/0.57 (define @t42 () (>= 2 3)) % 0.33/0.57 (define @t43 () (>= 2 1)) % 0.33/0.57 (define @t44 () (not @t43)) % 0.33/0.57 (define @t45 () (or @t44 @t42 @t41)) % 0.33/0.57 (assume @p1 @t10) % 0.33/0.57 (assume @p2 true) % 0.33/0.57 (step @p3 :rule evaluate :args ((= 2 1))) % 0.33/0.57 (step @p4 :rule bool-double-not-elim :args (@t3)) % 0.33/0.57 (step @p5 :rule bool-double-not-elim :args (@t11)) % 0.33/0.57 (step @p6 :rule refl :args (@t13)) % 0.33/0.57 (step @p7 :rule nary_cong :premises (@p6 @p5 @p4) :args (@t17)) % 0.33/0.57 (step @p8 :rule aci_norm :args ((= (or @t13 (or @t16 @t14)) @t17))) % 0.33/0.57 (step @p9 :rule trans :premises (@p8 @p7)) % 0.33/0.57 (step @p10 :rule bool-and-de-morgan :args (@t15 @t4 true)) % 0.33/0.57 (step @p11 :rule nary_cong :premises (@p6 @p10) :args ((or @t13 (not (and @t15 @t4))))) % 0.33/0.57 (step @p12 :rule bool-and-de-morgan :args (@t12 @t15 (and @t4))) % 0.33/0.57 (step @p13 :rule trans :premises (@p12 @p11)) % 0.33/0.57 (step @p14 :rule trans :premises (@p13 @p9)) % 0.33/0.57 (step @p15 :rule cong :premises (@p14) :args (@t19)) % 0.33/0.57 (step @p16 :rule cong :premises (@p15) :args (@t20)) % 0.33/0.57 (step @p17 :rule exists-elim :args ((= (exists @t6 @t18) @t20))) % 0.33/0.57 (step @p18 :rule trans :premises (@p17 @p16)) % 0.33/0.57 (step @p19 :rule refl :args (@t4)) % 0.33/0.57 (step @p20 :rule arith-elim-lt :args (@t1 3)) % 0.33/0.57 (step @p21 :rule bool-double-not-elim :args (@t12)) % 0.33/0.57 (step @p22 :rule arith_poly_norm :args ((= (* -1 (- 1 @t21)) (* -1 (- 0 @t1))))) % 0.33/0.57 (step @p23 :rule arith_poly_norm_rel :premises (@p22) :args ((= (>= 1 @t21) @t22))) % 0.33/0.57 (step @p24 :rule arith-geq-tighten :args (@t1 1)) % 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 cong :premises (@p26) :args ((not @t22))) % 0.33/0.57 (step @p28 :rule trans :premises (@p27 @p21)) % 0.33/0.57 (step @p29 :rule arith-elim-lt :args (0 @t1)) % 0.33/0.57 (step @p30 :rule trans :premises (@p29 @p28)) % 0.33/0.57 (step @p31 :rule nary_cong :premises (@p30 @p20 @p19) :args (@t5)) % 0.33/0.57 (step @p32 :rule cong :premises (@p31) :args (@t7)) % 0.33/0.57 (step @p33 :rule trans :premises (@p32 @p18)) % 0.33/0.57 (step @p34 :rule cong :premises (@p33) :args (@t9)) % 0.33/0.57 (step @p35 :rule cong :premises (@p34) :args (@t10)) % 0.33/0.57 (step @p36 :rule eq_resolve :premises (@p1 @p35)) % 0.33/0.57 (step @p37 :rule refl :args (@t26)) % 0.33/0.57 (step @p38 :rule bool-double-not-elim :args (@t23)) % 0.33/0.57 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or (not @t27) @t26))) % 0.33/0.57 (step @p40 :rule arith_poly_norm :args ((= (* 1 (- @t24 @t1)) (* -1 (- @t1 @t24))))) % 0.33/0.57 (step @p41 :rule arith_poly_norm_rel :premises (@p40) :args ((= @t28 @t25))) % 0.33/0.57 (step @p42 :rule refl :args (@t11)) % 0.33/0.57 (step @p43 :rule refl :args (@t13)) % 0.33/0.57 (step @p44 :rule nary_cong :premises (@p43 @p42 @p41) :args (@t29)) % 0.33/0.57 (step @p45 :rule cong :premises (@p44) :args (@t30)) % 0.33/0.57 (step @p46 :rule bool-double-not-elim :args (@t30)) % 0.33/0.57 (step @p47 :rule trans :premises (@p46 @p45)) % 0.33/0.57 (step @p48 :rule refl :args (@t27)) % 0.33/0.57 (step @p49 :rule cong :premises (@p48 @p47) :args ((=> @t27 @t31))) % 0.33/0.57 (assume-push @p96 @t27) % 0.33/0.57 (step @p51 :rule skolemize :premises (@p36)) % 0.33/0.57 (step-pop @p97 :rule scope :premises (@p51)) % 0.33/0.57 (step @p52 :rule process_scope :premises (@p97) :args (@t31)) % 0.33/0.57 (step @p54 :rule eq_resolve :premises (@p52 @p49)) % 0.33/0.57 (step @p55 :rule implies_elim :premises (@p54)) % 0.33/0.57 (step @p56 :rule eq_resolve :premises (@p55 @p39)) % 0.33/0.57 (step @p57 :rule chain_m_resolution :premises (@p56 @p36) :args (@t26 (@list true) (@list @t23))) % 0.33/0.57 (step @p58 :rule aci_norm :args ((= (or false false @t32) @t32))) % 0.33/0.57 (step @p59 :rule arith_poly_norm :args ((= (* -1 (- 1 @t24)) (* 1 (- @t24 1))))) % 0.33/0.57 (step @p60 :rule arith_poly_norm_rel :premises (@p59) :args ((= @t33 @t32))) % 0.33/0.57 (step @p61 :rule evaluate :args (@t34)) % 0.33/0.57 (step @p62 :rule evaluate :args ((not true))) % 0.33/0.57 (step @p63 :rule evaluate :args (@t35)) % 0.33/0.57 (step @p64 :rule cong :premises (@p63) :args (@t36)) % 0.33/0.57 (step @p65 :rule trans :premises (@p64 @p62)) % 0.33/0.57 (step @p66 :rule nary_cong :premises (@p65 @p61 @p60) :args (@t37)) % 0.33/0.57 (step @p67 :rule trans :premises (@p66 @p58)) % 0.33/0.57 (step @p68 :rule cong :premises (@p37 @p67) :args ((=> @t26 @t37))) % 0.33/0.57 (assume-push @p98 @t26) % 0.33/0.57 (step @p70 :rule instantiate :premises (@p57) :args ((@list 1))) % 0.33/0.57 (step-pop @p99 :rule scope :premises (@p70)) % 0.33/0.57 (step @p71 :rule process_scope :premises (@p99) :args (@t37)) % 0.33/0.57 (step @p73 :rule eq_resolve :premises (@p71 @p68)) % 0.33/0.57 (step @p74 :rule implies_elim :premises (@p73)) % 0.33/0.57 (step @p75 :rule chain_m_resolution :premises (@p74 @p57) :args (@t32 @t38 @t39)) % 0.33/0.57 (step @p76 :rule aci_norm :args ((= (or false false @t40) @t40))) % 0.33/0.57 (step @p77 :rule arith_poly_norm :args ((= (* -2 (- 2 @t24)) (* 2 (- @t24 2))))) % 0.33/0.57 (step @p78 :rule arith_poly_norm_rel :premises (@p77) :args ((= @t41 @t40))) % 0.33/0.57 (step @p79 :rule evaluate :args (@t42)) % 0.33/0.57 (step @p80 :rule evaluate :args (@t43)) % 0.33/0.57 (step @p81 :rule cong :premises (@p80) :args (@t44)) % 0.33/0.57 (step @p82 :rule trans :premises (@p81 @p62)) % 0.33/0.57 (step @p83 :rule nary_cong :premises (@p82 @p79 @p78) :args (@t45)) % 0.33/0.57 (step @p84 :rule trans :premises (@p83 @p76)) % 0.33/0.57 (step @p85 :rule cong :premises (@p37 @p84) :args ((=> @t26 @t45))) % 0.33/0.57 (assume-push @p100 @t26) % 0.33/0.57 (step @p87 :rule instantiate :premises (@p57) :args ((@list 2))) % 0.33/0.57 (step-pop @p101 :rule scope :premises (@p87)) % 0.33/0.57 (step @p88 :rule process_scope :premises (@p101) :args (@t45)) % 0.33/0.57 (step @p90 :rule eq_resolve :premises (@p88 @p85)) % 0.33/0.57 (step @p91 :rule implies_elim :premises (@p90)) % 0.33/0.57 (step @p92 :rule chain_m_resolution :premises (@p91 @p57) :args (@t40 @t38 @t39)) % 0.33/0.57 (step @p93 :rule symm :premises (@p92)) % 0.33/0.57 (step @p94 :rule trans :premises (@p93 @p75)) % 0.33/0.57 (step @p95 false :rule eq_resolve :premises (@p94 @p3)) % 0.33/0.57 ) % 0.33/0.57 % SZS output end Proof % 0.33/0.57 % cvc5 exiting %------------------------------------------------------------------------------