%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI609_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 : 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 08:07:58 AM UTC 2026 % Result : Theorem 45.43s 45.64s % Output : Proof 45.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : ARI609_1 : TPTP v9.2.1. Released v5.1.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n023.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 02:30:43 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.51 %----Proving TF0_ARI % 45.43/45.64 --- Run --finite-model-find --decision=internal at 45... % 45.43/45.64 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 45.43/45.64 % SZS status Theorem % 45.43/45.64 % SZS output start Proof % 45.43/45.64 ( % 45.43/45.64 (declare-const tptp.a Int) % 45.43/45.64 (declare-const tptp.f (-> Int Int)) % 45.43/45.64 (declare-const tptp.b Int) % 45.43/45.64 (define @t1 () (tptp.f tptp.b)) % 45.43/45.64 (define @t2 () (- @t1)) % 45.43/45.64 (define @t3 () (tptp.f tptp.a)) % 45.43/45.64 (define @t4 () (+ @t3 @t2)) % 45.43/45.64 (define @t5 () (<= 0 @t4)) % 45.43/45.64 (define @t6 () (- tptp.b)) % 45.43/45.64 (define @t7 () (+ tptp.a @t6)) % 45.43/45.64 (define @t8 () (<= 0 @t7)) % 45.43/45.64 (define @t9 () (@var "Y" Int)) % 45.43/45.64 (define @t10 () (tptp.f @t9)) % 45.43/45.64 (define @t11 () (@var "X" Int)) % 45.43/45.64 (define @t12 () (tptp.f @t11)) % 45.43/45.64 (define @t13 () (=> (<= @t11 @t9) (<= @t12 @t10))) % 45.43/45.64 (define @t14 () (@list @t11 @t9)) % 45.43/45.64 (define @t15 () (forall @t14 @t13)) % 45.43/45.64 (define @t16 () (and @t15 @t8)) % 45.43/45.64 (define @t17 () (=> @t16 @t5)) % 45.43/45.64 (define @t18 () (not @t17)) % 45.43/45.64 (define @t19 () (* -1 @t1)) % 45.43/45.64 (define @t20 () (+ @t3 @t19)) % 45.43/45.64 (define @t21 () (* -1 tptp.b)) % 45.43/45.64 (define @t22 () (+ tptp.a @t21)) % 45.43/45.64 (define @t23 () (+ @t12 (* -1 @t10))) % 45.43/45.64 (define @t24 () (>= @t23 1)) % 45.43/45.64 (define @t25 () (not @t24)) % 45.43/45.64 (define @t26 () (+ @t11 (* -1 @t9))) % 45.43/45.64 (define @t27 () (>= @t26 1)) % 45.43/45.64 (define @t28 () (not @t27)) % 45.43/45.64 (define @t29 () (+ @t10 1)) % 45.43/45.64 (define @t30 () (>= @t12 @t29)) % 45.43/45.64 (define @t31 () (+ @t9 1)) % 45.43/45.64 (define @t32 () (>= @t11 @t31)) % 45.43/45.64 (define @t33 () (>= @t20 0)) % 45.43/45.64 (define @t34 () (>= @t22 0)) % 45.43/45.64 (define @t35 () (not @t34)) % 45.43/45.64 (define @t36 () (or @t35 @t33)) % 45.43/45.64 (define @t37 () (not @t36)) % 45.43/45.64 (define @t38 () (@list true false)) % 45.43/45.64 (define @t39 () (* -1 @t3)) % 45.43/45.64 (define @t40 () (+ @t39 @t1)) % 45.43/45.64 (define @t41 () (+ @t20 1)) % 45.43/45.64 (define @t42 () (+ @t1 @t39)) % 45.43/45.64 (define @t43 () (>= @t42 1)) % 45.43/45.64 (define @t44 () (not @t43)) % 45.43/45.64 (define @t45 () (* -1 tptp.a)) % 45.43/45.64 (define @t46 () (+ @t45 tptp.b)) % 45.43/45.64 (define @t47 () (+ @t22 1)) % 45.43/45.64 (define @t48 () (+ tptp.b @t45)) % 45.43/45.64 (define @t49 () (>= @t48 1)) % 45.43/45.64 (define @t50 () (or @t49 @t44)) % 45.43/45.64 (define @t51 () (forall @t14 (or @t27 @t25))) % 45.43/45.64 (assume @p1 @t18) % 45.43/45.64 (assume @p2 true) % 45.43/45.64 (step @p3 :rule arith-elim-leq :args (0 @t20)) % 45.43/45.64 (step @p4 :rule arith_poly_norm :args ((= @t2 @t19))) % 45.43/45.64 (step @p5 :rule refl :args (@t3)) % 45.43/45.64 (step @p6 :rule nary_cong :premises (@p5 @p4) :args (@t4)) % 45.43/45.64 (step @p7 :rule refl :args (0)) % 45.43/45.64 (step @p8 :rule cong :premises (@p7 @p6) :args (@t5)) % 45.43/45.64 (step @p9 :rule trans :premises (@p8 @p3)) % 45.43/45.64 (step @p10 :rule arith-elim-leq :args (0 @t22)) % 45.43/45.64 (step @p11 :rule arith_poly_norm :args ((= @t6 @t21))) % 45.43/45.64 (step @p12 :rule refl :args (tptp.a)) % 45.43/45.64 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t7)) % 45.43/45.64 (step @p14 :rule cong :premises (@p7 @p13) :args (@t8)) % 45.43/45.64 (step @p15 :rule trans :premises (@p14 @p10)) % 45.43/45.64 (step @p16 :rule refl :args (@t25)) % 45.43/45.64 (step @p17 :rule bool-double-not-elim :args (@t27)) % 45.43/45.64 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or (not @t28) @t25))) % 45.43/45.64 (step @p19 :rule bool-impl-elim :args (@t28 @t25)) % 45.43/45.64 (step @p20 :rule trans :premises (@p19 @p18)) % 45.43/45.64 (step @p21 :rule cong :premises (@p20) :args ((forall @t14 (=> @t28 @t25)))) % 45.43/45.64 (step @p22 :rule arith_poly_norm :args ((= (* -1 (- @t12 @t29)) (* -1 (- @t23 1))))) % 45.43/45.64 (step @p23 :rule arith_poly_norm_rel :premises (@p22) :args ((= @t30 @t24))) % 45.43/45.64 (step @p24 :rule cong :premises (@p23) :args ((not @t30))) % 45.43/45.64 (step @p25 :rule arith-leq-norm :args (@t12 @t10)) % 45.43/45.64 (step @p26 :rule trans :premises (@p25 @p24)) % 45.43/45.64 (step @p27 :rule arith_poly_norm :args ((= (* -1 (- @t11 @t31)) (* -1 (- @t26 1))))) % 45.43/45.64 (step @p28 :rule arith_poly_norm_rel :premises (@p27) :args ((= @t32 @t27))) % 45.43/45.64 (step @p29 :rule cong :premises (@p28) :args ((not @t32))) % 45.43/45.64 (step @p30 :rule arith-leq-norm :args (@t11 @t9)) % 45.43/45.64 (step @p31 :rule trans :premises (@p30 @p29)) % 45.43/45.64 (step @p32 :rule cong :premises (@p31 @p26) :args (@t13)) % 45.43/45.64 (step @p33 :rule cong :premises (@p32) :args (@t15)) % 45.43/45.64 (step @p34 :rule trans :premises (@p33 @p21)) % 45.43/45.64 (step @p35 :rule nary_cong :premises (@p34 @p15) :args (@t16)) % 45.43/45.64 (step @p36 :rule cong :premises (@p35 @p9) :args (@t17)) % 45.43/45.64 (step @p37 :rule cong :premises (@p36) :args (@t18)) % 45.43/45.64 (step @p38 :rule eq_resolve :premises (@p1 @p37)) % 45.43/45.64 (step @p39 :rule not_implies_elim1 :premises (@p38)) % 45.43/45.64 (step @p40 :rule and_elim :premises (@p39) :args (0)) % 45.43/45.64 (step @p41 :rule and_elim :premises (@p39) :args (1)) % 45.43/45.64 (step @p42 :rule not_implies_elim2 :premises (@p38)) % 45.43/45.64 (step @p43 :rule cnf_or_pos :args (@t36)) % 45.43/45.64 (step @p44 :rule reordering :premises (@p43) :args ((or @t33 @t35 @t37))) % 45.43/45.64 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p41) :args (@t37 @t38 (@list @t33 @t34))) % 45.43/45.64 (step @p46 :rule bool-double-not-elim :args (@t33)) % 45.43/45.64 (step @p47 :rule arith_poly_norm :args ((= (* -1 (- 0 @t41)) (* -1 (- @t40 1))))) % 45.43/45.64 (step @p48 :rule arith_poly_norm_rel :premises (@p47) :args ((= (>= 0 @t41) (>= @t40 1)))) % 45.43/45.64 (step @p49 :rule arith-geq-tighten :args (@t20 0)) % 45.43/45.64 (step @p50 :rule trans :premises (@p49 @p48)) % 45.43/45.64 (step @p51 :rule symm :premises (@p50)) % 45.43/45.64 (step @p52 :rule refl :args (1)) % 45.43/45.64 (step @p53 :rule arith_poly_norm :args ((= @t42 @t40))) % 45.43/45.64 (step @p54 :rule cong :premises (@p53 @p52) :args (@t43)) % 45.43/45.64 (step @p55 :rule trans :premises (@p54 @p51)) % 45.43/45.64 (step @p56 :rule cong :premises (@p55) :args (@t44)) % 45.43/45.64 (step @p57 :rule trans :premises (@p56 @p46)) % 45.43/45.64 (step @p58 :rule arith_poly_norm :args ((= (* -1 (- 0 @t47)) (* -1 (- @t46 1))))) % 45.43/45.64 (step @p59 :rule arith_poly_norm_rel :premises (@p58) :args ((= (>= 0 @t47) (>= @t46 1)))) % 45.43/45.64 (step @p60 :rule arith-geq-tighten :args (@t22 0)) % 45.43/45.64 (step @p61 :rule trans :premises (@p60 @p59)) % 45.43/45.64 (step @p62 :rule symm :premises (@p61)) % 45.43/45.64 (step @p63 :rule arith_poly_norm :args ((= @t48 @t46))) % 45.43/45.64 (step @p64 :rule cong :premises (@p63 @p52) :args (@t49)) % 45.43/45.64 (step @p65 :rule trans :premises (@p64 @p62)) % 45.43/45.64 (step @p66 :rule nary_cong :premises (@p65 @p57) :args (@t50)) % 45.43/45.64 (step @p67 :rule refl :args (@t51)) % 45.43/45.64 (step @p68 :rule cong :premises (@p67 @p66) :args ((=> @t51 @t50))) % 45.43/45.64 (assume-push @p76 @t51) % 45.43/45.64 (step @p70 :rule instantiate :premises (@p40) :args ((@list tptp.b tptp.a))) % 45.43/45.64 (step-pop @p77 :rule scope :premises (@p70)) % 45.43/45.64 (step @p71 :rule process_scope :premises (@p77) :args (@t50)) % 45.43/45.64 (step @p73 :rule eq_resolve :premises (@p71 @p68)) % 45.43/45.64 (step @p74 :rule implies_elim :premises (@p73)) % 45.43/45.64 (step @p75 false :rule chain_m_resolution :premises (@p74 @p45 @p40) :args (false @t38 (@list @t36 @t51))) % 45.43/45.64 ) % 45.43/45.64 % SZS output end Proof % 45.43/45.64 % cvc5 exiting %------------------------------------------------------------------------------