%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI602_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 : n003.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 0.43s 0.62s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI602_1 : TPTP v9.2.1. Released v5.1.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n003.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 02:29:44 EDT 2026 % 0.18/0.35 % CPUTime : % 0.34/0.50 %----Proving TF0_ARI % 0.43/0.62 --- Run --finite-model-find --decision=internal at 45... % 0.43/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.43/0.62 % SZS status Theorem % 0.43/0.62 % SZS output start Proof % 0.43/0.62 ( % 0.43/0.62 (declare-const tptp.f (-> Int Int)) % 0.43/0.62 (define @t1 () (tptp.f 5)) % 0.43/0.62 (define @t2 () (@var "Y" Int)) % 0.43/0.62 (define @t3 () (and (< 4 @t2) (< @t2 @t1))) % 0.43/0.62 (define @t4 () (@list @t2)) % 0.43/0.62 (define @t5 () (exists @t4 @t3)) % 0.43/0.62 (define @t6 () (@var "X" Int)) % 0.43/0.62 (define @t7 () (tptp.f @t6)) % 0.43/0.62 (define @t8 () (@list @t6)) % 0.43/0.62 (define @t9 () (forall @t8 (> @t7 @t6))) % 0.43/0.62 (define @t10 () (=> @t9 @t5)) % 0.43/0.62 (define @t11 () (not @t10)) % 0.43/0.62 (define @t12 () (* -1 @t1)) % 0.43/0.62 (define @t13 () (+ @t2 @t12)) % 0.43/0.62 (define @t14 () (>= @t13 0)) % 0.43/0.62 (define @t15 () (>= @t2 5)) % 0.43/0.62 (define @t16 () (not @t15)) % 0.43/0.62 (define @t17 () (not @t14)) % 0.43/0.62 (define @t18 () (and @t15 @t17)) % 0.43/0.62 (define @t19 () (forall @t4 (not @t18))) % 0.43/0.62 (define @t20 () (not @t19)) % 0.43/0.62 (define @t21 () (>= @t2 @t1)) % 0.43/0.62 (define @t22 () (+ @t2 1)) % 0.43/0.62 (define @t23 () (>= 4 @t2)) % 0.43/0.62 (define @t24 () (+ @t6 (* -1 @t7))) % 0.43/0.62 (define @t25 () (>= @t24 0)) % 0.43/0.62 (define @t26 () (>= @t6 @t7)) % 0.43/0.62 (define @t27 () (>= @t1 6)) % 0.43/0.62 (define @t28 () (+ 5 @t12)) % 0.43/0.62 (define @t29 () (+ @t1 1)) % 0.43/0.62 (define @t30 () (>= @t28 0)) % 0.43/0.62 (define @t31 () (not @t30)) % 0.43/0.62 (define @t32 () (forall @t8 (not @t25))) % 0.43/0.62 (define @t33 () (not @t27)) % 0.43/0.62 (define @t34 () (+ @t12 @t1 -1)) % 0.43/0.62 (define @t35 () (+ -1 @t1)) % 0.43/0.62 (define @t36 () (+ @t35 @t12)) % 0.43/0.62 (define @t37 () (>= @t36 0)) % 0.43/0.62 (define @t38 () (>= @t35 5)) % 0.43/0.62 (define @t39 () (not @t38)) % 0.43/0.62 (define @t40 () (or @t39 @t37)) % 0.43/0.62 (define @t41 () (forall @t4 (or @t16 @t14))) % 0.43/0.62 (assume @p1 @t11) % 0.43/0.62 (assume @p2 true) % 0.43/0.62 (step @p3 :rule bool-double-not-elim :args (@t14)) % 0.43/0.62 (step @p4 :rule refl :args (@t16)) % 0.43/0.62 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t16 (not @t17)))) % 0.43/0.62 (step @p6 :rule bool-and-de-morgan :args (@t15 @t17 true)) % 0.43/0.62 (step @p7 :rule trans :premises (@p6 @p5)) % 0.43/0.62 (step @p8 :rule cong :premises (@p7) :args (@t19)) % 0.43/0.62 (step @p9 :rule cong :premises (@p8) :args (@t20)) % 0.43/0.62 (step @p10 :rule exists-elim :args ((= (exists @t4 @t18) @t20))) % 0.43/0.62 (step @p11 :rule trans :premises (@p10 @p9)) % 0.43/0.62 (step @p12 :rule arith_poly_norm :args ((= (* 1 (- @t2 @t1)) (* 1 (- @t13 0))))) % 0.43/0.62 (step @p13 :rule arith_poly_norm_rel :premises (@p12) :args ((= @t21 @t14))) % 0.43/0.62 (step @p14 :rule cong :premises (@p13) :args ((not @t21))) % 0.43/0.62 (step @p15 :rule arith-elim-lt :args (@t2 @t1)) % 0.43/0.62 (step @p16 :rule trans :premises (@p15 @p14)) % 0.43/0.62 (step @p17 :rule bool-double-not-elim :args (@t15)) % 0.43/0.62 (step @p18 :rule arith_poly_norm :args ((= (* 4 (- 5 @t22)) (* 4 (- 4 @t2))))) % 0.43/0.62 (step @p19 :rule arith_poly_norm_rel :premises (@p18) :args ((= (>= 5 @t22) @t23))) % 0.43/0.62 (step @p20 :rule arith-geq-tighten :args (@t2 5)) % 0.43/0.62 (step @p21 :rule trans :premises (@p20 @p19)) % 0.43/0.62 (step @p22 :rule symm :premises (@p21)) % 0.43/0.62 (step @p23 :rule cong :premises (@p22) :args ((not @t23))) % 0.43/0.62 (step @p24 :rule trans :premises (@p23 @p17)) % 0.43/0.62 (step @p25 :rule arith-elim-lt :args (4 @t2)) % 0.43/0.62 (step @p26 :rule trans :premises (@p25 @p24)) % 0.43/0.62 (step @p27 :rule nary_cong :premises (@p26 @p16) :args (@t3)) % 0.43/0.62 (step @p28 :rule cong :premises (@p27) :args (@t5)) % 0.43/0.62 (step @p29 :rule trans :premises (@p28 @p11)) % 0.43/0.62 (step @p30 :rule arith_poly_norm :args ((= (* 1 (- @t6 @t7)) (* 1 (- @t24 0))))) % 0.43/0.62 (step @p31 :rule arith_poly_norm_rel :premises (@p30) :args ((= @t26 @t25))) % 0.43/0.62 (step @p32 :rule arith-elim-leq :args (@t7 @t6)) % 0.43/0.62 (step @p33 :rule trans :premises (@p32 @p31)) % 0.43/0.62 (step @p34 :rule cong :premises (@p33) :args ((not (<= @t7 @t6)))) % 0.43/0.62 (step @p35 :rule symm :premises (@p32)) % 0.43/0.62 (step @p36 :rule cong :premises (@p35) :args ((not @t26))) % 0.43/0.62 (step @p37 :rule arith-elim-gt :args (@t7 @t6)) % 0.43/0.62 (step @p38 :rule trans :premises (@p37 @p36)) % 0.43/0.62 (step @p39 :rule trans :premises (@p38 @p34)) % 0.43/0.62 (step @p40 :rule cong :premises (@p39) :args (@t9)) % 0.43/0.62 (step @p41 :rule cong :premises (@p40 @p29) :args (@t10)) % 0.43/0.62 (step @p42 :rule cong :premises (@p41) :args (@t11)) % 0.43/0.62 (step @p43 :rule eq_resolve :premises (@p1 @p42)) % 0.43/0.62 (step @p44 :rule not_implies_elim2 :premises (@p43)) % 0.43/0.62 (step @p45 :rule not_not_elim :premises (@p44)) % 0.43/0.62 (step @p46 :rule not_implies_elim1 :premises (@p43)) % 0.43/0.62 (step @p47 :rule bool-double-not-elim :args (@t27)) % 0.43/0.62 (step @p48 :rule arith_poly_norm :args ((= (* 5 (- 6 @t29)) (* 5 (- @t28 0))))) % 0.43/0.62 (step @p49 :rule arith_poly_norm_rel :premises (@p48) :args ((= (>= 6 @t29) @t30))) % 0.43/0.62 (step @p50 :rule arith-geq-tighten :args (@t1 6)) % 0.43/0.62 (step @p51 :rule trans :premises (@p50 @p49)) % 0.43/0.62 (step @p52 :rule symm :premises (@p51)) % 0.43/0.62 (step @p53 :rule cong :premises (@p52) :args (@t31)) % 0.43/0.62 (step @p54 :rule trans :premises (@p53 @p47)) % 0.43/0.62 (step @p55 :rule refl :args (@t32)) % 0.43/0.62 (step @p56 :rule cong :premises (@p55 @p54) :args ((=> @t32 @t31))) % 0.43/0.62 (assume-push @p86 @t32) % 0.43/0.62 (step @p58 :rule instantiate :premises (@p46) :args ((@list 5))) % 0.43/0.62 (step-pop @p87 :rule scope :premises (@p58)) % 0.43/0.62 (step @p59 :rule process_scope :premises (@p87) :args (@t31)) % 0.43/0.62 (step @p61 :rule eq_resolve :premises (@p59 @p56)) % 0.43/0.62 (step @p62 :rule implies_elim :premises (@p61)) % 0.43/0.62 (step @p63 :rule chain_m_resolution :premises (@p62 @p46) :args (@t27 (@list false) (@list @t32))) % 0.43/0.62 (step @p64 :rule aci_norm :args ((= (or @t33 false) @t33))) % 0.43/0.62 (step @p65 :rule evaluate :args ((>= -1 0))) % 0.43/0.62 (step @p66 :rule refl :args (0)) % 0.43/0.62 (step @p67 :rule arith_poly_norm :args ((= @t34 -1))) % 0.43/0.62 (step @p68 :rule arith_poly_norm :args ((= @t36 @t34))) % 0.43/0.62 (step @p69 :rule trans :premises (@p68 @p67)) % 0.43/0.62 (step @p70 :rule cong :premises (@p69 @p66) :args (@t37)) % 0.43/0.62 (step @p71 :rule trans :premises (@p70 @p65)) % 0.43/0.62 (step @p72 :rule arith_poly_norm :args ((= (* -6 (- @t35 5)) (* -6 (- @t1 6))))) % 0.43/0.62 (step @p73 :rule arith_poly_norm_rel :premises (@p72) :args ((= @t38 @t27))) % 0.43/0.62 (step @p74 :rule cong :premises (@p73) :args (@t39)) % 0.43/0.62 (step @p75 :rule nary_cong :premises (@p74 @p71) :args (@t40)) % 0.43/0.62 (step @p76 :rule trans :premises (@p75 @p64)) % 0.43/0.62 (step @p77 :rule refl :args (@t41)) % 0.43/0.62 (step @p78 :rule cong :premises (@p77 @p76) :args ((=> @t41 @t40))) % 0.43/0.62 (assume-push @p88 @t41) % 0.43/0.62 (step @p80 :rule instantiate :premises (@p45) :args ((@list @t35))) % 0.43/0.62 (step-pop @p89 :rule scope :premises (@p80)) % 0.43/0.62 (step @p81 :rule process_scope :premises (@p89) :args (@t40)) % 0.43/0.62 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 0.43/0.62 (step @p84 :rule implies_elim :premises (@p83)) % 0.43/0.62 (step @p85 false :rule chain_m_resolution :premises (@p84 @p63 @p45) :args (false (@list false false) (@list @t27 @t41))) % 0.43/0.62 ) % 0.43/0.62 % SZS output end Proof % 0.43/0.62 % cvc5 exiting %------------------------------------------------------------------------------