%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI183_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:07:15 AM UTC 2026 % Result : Theorem 0.41s 0.62s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : ARI183_1 : TPTP v9.2.1. Released v5.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n002.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 02:26:33 EDT 2026 % 0.18/0.35 % CPUTime : % 0.20/0.51 %----Proving TF0_ARI % 0.41/0.62 --- Run --finite-model-find --decision=internal at 45... % 0.41/0.62 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.41/0.62 % SZS status Theorem % 0.41/0.62 % SZS output start Proof % 0.41/0.62 ( % 0.41/0.62 (declare-const tptp.f (-> Int Int)) % 0.41/0.62 (define @t1 () (@var "W" Int)) % 0.41/0.62 (define @t2 () (tptp.f @t1)) % 0.41/0.62 (define @t3 () (tptp.f @t2)) % 0.41/0.62 (define @t4 () (+ @t2 2)) % 0.41/0.62 (define @t5 () (tptp.f @t4)) % 0.41/0.62 (define @t6 () (@list @t1)) % 0.41/0.62 (define @t7 () (forall @t6 (> @t5 @t3))) % 0.41/0.62 (define @t8 () (@var "V" Int)) % 0.41/0.62 (define @t9 () (tptp.f @t8)) % 0.41/0.62 (define @t10 () (@var "U" Int)) % 0.41/0.62 (define @t11 () (tptp.f @t10)) % 0.41/0.62 (define @t12 () (=> (< @t10 @t8) (< @t11 @t9))) % 0.41/0.62 (define @t13 () (@list @t10 @t8)) % 0.41/0.62 (define @t14 () (forall @t13 @t12)) % 0.41/0.62 (define @t15 () (=> @t14 @t7)) % 0.41/0.62 (define @t16 () (not @t15)) % 0.41/0.62 (define @t17 () (+ 2 @t2)) % 0.41/0.62 (define @t18 () (tptp.f @t17)) % 0.41/0.62 (define @t19 () (+ @t3 (* -1 @t18))) % 0.41/0.62 (define @t20 () (>= @t19 0)) % 0.41/0.62 (define @t21 () (<= @t5 @t3)) % 0.41/0.62 (define @t22 () (+ @t11 (* -1 @t9))) % 0.41/0.62 (define @t23 () (>= @t22 0)) % 0.41/0.62 (define @t24 () (not @t23)) % 0.41/0.62 (define @t25 () (+ @t10 (* -1 @t8))) % 0.41/0.62 (define @t26 () (>= @t25 0)) % 0.41/0.62 (define @t27 () (not @t26)) % 0.41/0.62 (define @t28 () (>= @t11 @t9)) % 0.41/0.62 (define @t29 () (>= @t10 @t8)) % 0.41/0.62 (define @t30 () (forall @t6 (not @t20))) % 0.41/0.62 (define @t31 () (tptp.f (@quantifiers_skolemize @t30 0))) % 0.41/0.62 (define @t32 () (+ 2 @t31)) % 0.41/0.62 (define @t33 () (>= (+ (tptp.f @t31) (* -1 (tptp.f @t32))) 0)) % 0.41/0.62 (define @t34 () (not @t30)) % 0.41/0.62 (define @t35 () (not @t33)) % 0.41/0.62 (define @t36 () (not @t35)) % 0.41/0.62 (define @t37 () (+ -2 (* -1 @t31))) % 0.41/0.62 (define @t38 () (* -1 @t32)) % 0.41/0.62 (define @t39 () (+ @t31 @t38)) % 0.41/0.62 (define @t40 () (>= @t39 0)) % 0.41/0.62 (define @t41 () (or @t40 @t35)) % 0.41/0.62 (define @t42 () (forall @t13 (or @t26 @t24))) % 0.41/0.62 (assume @p1 @t16) % 0.41/0.62 (assume @p2 true) % 0.41/0.62 (step @p3 :rule arith_poly_norm :args ((= (* 1 (- @t3 @t18)) (* 1 (- @t19 0))))) % 0.41/0.62 (step @p4 :rule arith_poly_norm_rel :premises (@p3) :args ((= (>= @t3 @t18) @t20))) % 0.41/0.62 (step @p5 :rule arith-elim-leq :args (@t18 @t3)) % 0.41/0.62 (step @p6 :rule trans :premises (@p5 @p4)) % 0.41/0.62 (step @p7 :rule refl :args (@t3)) % 0.41/0.62 (step @p8 :rule arith_poly_norm :args ((= @t4 @t17))) % 0.41/0.62 (step @p9 :rule cong :premises (@p8) :args (@t5)) % 0.41/0.62 (step @p10 :rule cong :premises (@p9 @p7) :args (@t21)) % 0.41/0.62 (step @p11 :rule trans :premises (@p10 @p6)) % 0.41/0.62 (step @p12 :rule cong :premises (@p11) :args ((not @t21))) % 0.41/0.62 (step @p13 :rule arith-elim-leq :args (@t5 @t3)) % 0.41/0.62 (step @p14 :rule symm :premises (@p13)) % 0.41/0.62 (step @p15 :rule cong :premises (@p14) :args ((not (>= @t3 @t5)))) % 0.41/0.62 (step @p16 :rule arith-elim-gt :args (@t5 @t3)) % 0.41/0.62 (step @p17 :rule trans :premises (@p16 @p15)) % 0.41/0.62 (step @p18 :rule trans :premises (@p17 @p12)) % 0.41/0.62 (step @p19 :rule cong :premises (@p18) :args (@t7)) % 0.41/0.62 (step @p20 :rule refl :args (@t24)) % 0.41/0.62 (step @p21 :rule bool-double-not-elim :args (@t26)) % 0.41/0.62 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or (not @t27) @t24))) % 0.41/0.62 (step @p23 :rule bool-impl-elim :args (@t27 @t24)) % 0.41/0.62 (step @p24 :rule trans :premises (@p23 @p22)) % 0.41/0.62 (step @p25 :rule cong :premises (@p24) :args ((forall @t13 (=> @t27 @t24)))) % 0.41/0.62 (step @p26 :rule arith_poly_norm :args ((= (* 1 (- @t11 @t9)) (* 1 (- @t22 0))))) % 0.41/0.62 (step @p27 :rule arith_poly_norm_rel :premises (@p26) :args ((= @t28 @t23))) % 0.41/0.62 (step @p28 :rule cong :premises (@p27) :args ((not @t28))) % 0.41/0.62 (step @p29 :rule arith-elim-lt :args (@t11 @t9)) % 0.41/0.62 (step @p30 :rule trans :premises (@p29 @p28)) % 0.41/0.62 (step @p31 :rule arith_poly_norm :args ((= (* 1 (- @t10 @t8)) (* 1 (- @t25 0))))) % 0.41/0.62 (step @p32 :rule arith_poly_norm_rel :premises (@p31) :args ((= @t29 @t26))) % 0.41/0.62 (step @p33 :rule cong :premises (@p32) :args ((not @t29))) % 0.41/0.62 (step @p34 :rule arith-elim-lt :args (@t10 @t8)) % 0.41/0.62 (step @p35 :rule trans :premises (@p34 @p33)) % 0.41/0.62 (step @p36 :rule cong :premises (@p35 @p30) :args (@t12)) % 0.41/0.62 (step @p37 :rule cong :premises (@p36) :args (@t14)) % 0.41/0.62 (step @p38 :rule trans :premises (@p37 @p25)) % 0.41/0.62 (step @p39 :rule cong :premises (@p38 @p19) :args (@t15)) % 0.41/0.62 (step @p40 :rule cong :premises (@p39) :args (@t16)) % 0.41/0.62 (step @p41 :rule eq_resolve :premises (@p1 @p40)) % 0.41/0.62 (step @p42 :rule not_implies_elim1 :premises (@p41)) % 0.41/0.62 (step @p43 :rule not_implies_elim2 :premises (@p41)) % 0.41/0.62 (step @p44 :rule refl :args (@t33)) % 0.41/0.62 (step @p45 :rule bool-double-not-elim :args (@t30)) % 0.41/0.62 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or (not @t34) @t33))) % 0.41/0.63 (step @p47 :rule bool-double-not-elim :args (@t33)) % 0.41/0.63 (step @p48 :rule refl :args (@t34)) % 0.41/0.63 (step @p49 :rule cong :premises (@p48 @p47) :args ((=> @t34 @t36))) % 0.41/0.63 (assume-push @p80 @t34) % 0.41/0.63 (step @p51 :rule skolemize :premises (@p43)) % 0.41/0.63 (step-pop @p81 :rule scope :premises (@p51)) % 0.41/0.63 (step @p52 :rule process_scope :premises (@p81) :args (@t36)) % 0.41/0.63 (step @p54 :rule eq_resolve :premises (@p52 @p49)) % 0.41/0.63 (step @p55 :rule implies_elim :premises (@p54)) % 0.41/0.63 (step @p56 :rule eq_resolve :premises (@p55 @p46)) % 0.41/0.63 (step @p57 :rule chain_m_resolution :premises (@p56 @p43) :args (@t33 (@list true) (@list @t30))) % 0.41/0.63 (step @p58 :rule aci_norm :args ((= (or false @t35) @t35))) % 0.41/0.63 (step @p59 :rule refl :args (@t35)) % 0.41/0.63 (step @p60 :rule evaluate :args ((>= -2 0))) % 0.41/0.63 (step @p61 :rule refl :args (0)) % 0.41/0.63 (step @p62 :rule arith_poly_norm :args ((= (+ @t31 @t37) -2))) % 0.41/0.63 (step @p63 :rule arith_poly_norm :args ((= @t38 @t37))) % 0.41/0.63 (step @p64 :rule refl :args (@t31)) % 0.41/0.63 (step @p65 :rule nary_cong :premises (@p64 @p63) :args (@t39)) % 0.41/0.63 (step @p66 :rule trans :premises (@p65 @p62)) % 0.41/0.63 (step @p67 :rule cong :premises (@p66 @p61) :args (@t40)) % 0.41/0.63 (step @p68 :rule trans :premises (@p67 @p60)) % 0.41/0.63 (step @p69 :rule nary_cong :premises (@p68 @p59) :args (@t41)) % 0.41/0.63 (step @p70 :rule trans :premises (@p69 @p58)) % 0.41/0.63 (step @p71 :rule refl :args (@t42)) % 0.41/0.63 (step @p72 :rule cong :premises (@p71 @p70) :args ((=> @t42 @t41))) % 0.41/0.63 (assume-push @p82 @t42) % 0.41/0.63 (step @p74 :rule instantiate :premises (@p42) :args ((@list @t31 @t32))) % 0.41/0.63 (step-pop @p83 :rule scope :premises (@p74)) % 0.41/0.63 (step @p75 :rule process_scope :premises (@p83) :args (@t41)) % 0.41/0.63 (step @p77 :rule eq_resolve :premises (@p75 @p72)) % 0.41/0.63 (step @p78 :rule implies_elim :premises (@p77)) % 0.41/0.63 (step @p79 false :rule chain_m_resolution :premises (@p78 @p57 @p42) :args (false (@list false false) (@list @t33 @t42))) % 0.41/0.63 ) % 0.41/0.63 % SZS output end Proof % 0.41/0.63 % cvc5 exiting %------------------------------------------------------------------------------