%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI182_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n027.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 08:07:14 AM UTC 2026 % Result : Theorem 0.42s 0.63s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : ARI182_1 : TPTP v9.2.1. Released v5.0.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n027.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 02:26:21 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_ARI % 0.42/0.63 --- Run --finite-model-find --decision=internal at 45... % 0.42/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.42/0.63 % SZS status Theorem % 0.42/0.63 % SZS output start Proof % 0.42/0.63 ( % 0.42/0.63 (declare-const tptp.f (-> Int Int)) % 0.42/0.63 (define @t1 () (@var "W" Int)) % 0.42/0.63 (define @t2 () (@var "V" Int)) % 0.42/0.63 (define @t3 () (+ (+ @t2 @t1) 2)) % 0.42/0.63 (define @t4 () (tptp.f @t2)) % 0.42/0.63 (define @t5 () (+ @t4 @t1)) % 0.42/0.63 (define @t6 () (tptp.f @t5)) % 0.42/0.63 (define @t7 () (>= @t6 @t3)) % 0.42/0.63 (define @t8 () (@list @t2 @t1)) % 0.42/0.63 (define @t9 () (forall @t8 @t7)) % 0.42/0.63 (define @t10 () (@var "U" Int)) % 0.42/0.63 (define @t11 () (tptp.f @t10)) % 0.42/0.63 (define @t12 () (@list @t10)) % 0.42/0.63 (define @t13 () (forall @t12 (> @t11 @t10))) % 0.42/0.63 (define @t14 () (=> @t13 @t9)) % 0.42/0.63 (define @t15 () (not @t14)) % 0.42/0.63 (define @t16 () (+ 2 @t2 @t1)) % 0.42/0.63 (define @t17 () (+ @t1 @t4)) % 0.42/0.63 (define @t18 () (tptp.f @t17)) % 0.42/0.63 (define @t19 () (+ @t2 @t1 (* -1 @t18))) % 0.42/0.63 (define @t20 () (+ @t19 1)) % 0.42/0.63 (define @t21 () (+ @t1 @t2 2)) % 0.42/0.63 (define @t22 () (+ @t10 (* -1 @t11))) % 0.42/0.63 (define @t23 () (>= @t22 0)) % 0.42/0.63 (define @t24 () (>= @t10 @t11)) % 0.42/0.63 (define @t25 () (forall @t8 (not (>= @t19 -1)))) % 0.42/0.63 (define @t26 () (@quantifiers_skolemize @t25 0)) % 0.42/0.63 (define @t27 () (tptp.f @t26)) % 0.42/0.63 (define @t28 () (@quantifiers_skolemize @t25 1)) % 0.42/0.63 (define @t29 () (+ @t28 @t27)) % 0.42/0.63 (define @t30 () (tptp.f @t29)) % 0.42/0.63 (define @t31 () (* -1 @t30)) % 0.42/0.63 (define @t32 () (+ @t26 @t28 @t31)) % 0.42/0.63 (define @t33 () (>= @t32 -1)) % 0.42/0.63 (define @t34 () (not @t25)) % 0.42/0.63 (define @t35 () (not @t33)) % 0.42/0.63 (define @t36 () (not @t35)) % 0.42/0.63 (define @t37 () (+ @t28 @t27 @t31)) % 0.42/0.63 (define @t38 () (+ @t31 @t27 @t28)) % 0.42/0.63 (define @t39 () (+ @t29 @t31)) % 0.42/0.63 (define @t40 () (>= @t39 0)) % 0.42/0.63 (define @t41 () (not @t40)) % 0.42/0.63 (define @t42 () (forall @t12 (not @t23))) % 0.42/0.63 (define @t43 () (>= @t37 0)) % 0.42/0.63 (define @t44 () (not @t43)) % 0.42/0.63 (define @t45 () (* -1 @t27)) % 0.42/0.63 (define @t46 () (+ @t26 @t45)) % 0.42/0.63 (define @t47 () (>= @t46 0)) % 0.42/0.63 (define @t48 () (not @t47)) % 0.42/0.63 (define @t49 () (+ -1 1)) % 0.42/0.63 (define @t50 () (>= @t37 @t49)) % 0.42/0.63 (define @t51 () (<= @t37 -1)) % 0.42/0.63 (define @t52 () (* -1 -1)) % 0.42/0.63 (define @t53 () (+ -1 0 @t52)) % 0.42/0.63 (define @t54 () (* 0 @t26)) % 0.42/0.63 (define @t55 () (* 0 @t28)) % 0.42/0.63 (define @t56 () (* 0 @t30)) % 0.42/0.63 (define @t57 () (+ @t45 @t56 @t27 @t55 @t54)) % 0.42/0.63 (define @t58 () (+ @t37 @t46 (* -1 @t32))) % 0.42/0.63 (define @t59 () (>= @t58 @t53)) % 0.42/0.63 (assume @p1 @t15) % 0.42/0.63 (assume @p2 true) % 0.42/0.63 (step @p3 :rule arith_poly_norm :args ((= (* -2 (- -1 @t20)) (* -2 (- @t18 @t16))))) % 0.42/0.63 (step @p4 :rule arith_poly_norm_rel :premises (@p3) :args ((= (>= -1 @t20) (>= @t18 @t16)))) % 0.42/0.63 (step @p5 :rule arith-geq-tighten :args (@t19 -1)) % 0.42/0.63 (step @p6 :rule trans :premises (@p5 @p4)) % 0.42/0.63 (step @p7 :rule symm :premises (@p6)) % 0.42/0.63 (step @p8 :rule arith_poly_norm :args ((= @t21 @t16))) % 0.42/0.63 (step @p9 :rule arith_poly_norm :args ((= @t3 @t21))) % 0.42/0.63 (step @p10 :rule trans :premises (@p9 @p8)) % 0.42/0.63 (step @p11 :rule arith_poly_norm :args ((= @t5 @t17))) % 0.42/0.63 (step @p12 :rule cong :premises (@p11) :args (@t6)) % 0.42/0.63 (step @p13 :rule cong :premises (@p12 @p10) :args (@t7)) % 0.42/0.63 (step @p14 :rule trans :premises (@p13 @p7)) % 0.42/0.63 (step @p15 :rule cong :premises (@p14) :args (@t9)) % 0.42/0.63 (step @p16 :rule arith_poly_norm :args ((= (* 1 (- @t10 @t11)) (* 1 (- @t22 0))))) % 0.42/0.63 (step @p17 :rule arith_poly_norm_rel :premises (@p16) :args ((= @t24 @t23))) % 0.42/0.63 (step @p18 :rule arith-elim-leq :args (@t11 @t10)) % 0.42/0.63 (step @p19 :rule trans :premises (@p18 @p17)) % 0.42/0.63 (step @p20 :rule cong :premises (@p19) :args ((not (<= @t11 @t10)))) % 0.42/0.63 (step @p21 :rule symm :premises (@p18)) % 0.42/0.63 (step @p22 :rule cong :premises (@p21) :args ((not @t24))) % 0.42/0.63 (step @p23 :rule arith-elim-gt :args (@t11 @t10)) % 0.42/0.63 (step @p24 :rule trans :premises (@p23 @p22)) % 0.42/0.63 (step @p25 :rule trans :premises (@p24 @p20)) % 0.42/0.63 (step @p26 :rule cong :premises (@p25) :args (@t13)) % 0.42/0.63 (step @p27 :rule cong :premises (@p26 @p15) :args (@t14)) % 0.42/0.63 (step @p28 :rule cong :premises (@p27) :args (@t15)) % 0.42/0.63 (step @p29 :rule eq_resolve :premises (@p1 @p28)) % 0.42/0.63 (step @p30 :rule not_implies_elim2 :premises (@p29)) % 0.42/0.63 (step @p31 :rule refl :args (@t33)) % 0.42/0.63 (step @p32 :rule bool-double-not-elim :args (@t25)) % 0.42/0.63 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or (not @t34) @t33))) % 0.42/0.63 (step @p34 :rule bool-double-not-elim :args (@t33)) % 0.42/0.63 (step @p35 :rule refl :args (@t34)) % 0.42/0.63 (step @p36 :rule cong :premises (@p35 @p34) :args ((=> @t34 @t36))) % 0.42/0.63 (assume-push @p136 @t34) % 0.42/0.63 (step @p38 :rule skolemize :premises (@p30)) % 0.42/0.63 (step-pop @p137 :rule scope :premises (@p38)) % 0.42/0.63 (step @p39 :rule process_scope :premises (@p137) :args (@t36)) % 0.42/0.63 (step @p41 :rule eq_resolve :premises (@p39 @p36)) % 0.42/0.63 (step @p42 :rule implies_elim :premises (@p41)) % 0.42/0.63 (step @p43 :rule eq_resolve :premises (@p42 @p33)) % 0.42/0.63 (step @p44 :rule chain_m_resolution :premises (@p43 @p30) :args (@t33 (@list true) (@list @t25))) % 0.42/0.63 (step @p45 :rule not_implies_elim1 :premises (@p29)) % 0.42/0.63 (step @p46 :rule instantiate :premises (@p45) :args ((@list @t26))) % 0.42/0.63 (step @p47 :rule refl :args (0)) % 0.42/0.63 (step @p48 :rule arith_poly_norm :args ((= @t38 @t37))) % 0.42/0.63 (step @p49 :rule arith_poly_norm :args ((= @t39 @t38))) % 0.42/0.63 (step @p50 :rule trans :premises (@p49 @p48)) % 0.42/0.63 (step @p51 :rule cong :premises (@p50 @p47) :args (@t40)) % 0.42/0.63 (step @p52 :rule cong :premises (@p51) :args (@t41)) % 0.42/0.63 (step @p53 :rule refl :args (@t42)) % 0.42/0.63 (step @p54 :rule cong :premises (@p53 @p52) :args ((=> @t42 @t41))) % 0.42/0.63 (assume-push @p138 @t42) % 0.42/0.63 (step @p56 :rule instantiate :premises (@p45) :args ((@list @t29))) % 0.42/0.63 (step-pop @p139 :rule scope :premises (@p56)) % 0.42/0.63 (step @p57 :rule process_scope :premises (@p139) :args (@t41)) % 0.42/0.63 (step @p59 :rule eq_resolve :premises (@p57 @p54)) % 0.42/0.63 (step @p60 :rule implies_elim :premises (@p59)) % 0.42/0.63 (step @p61 :rule chain_m_resolution :premises (@p60 @p45) :args (@t44 (@list false) (@list @t42))) % 0.42/0.63 (step @p62 :rule bool-double-not-elim :args (@t43)) % 0.42/0.63 (step @p63 :rule bool-double-not-elim :args (@t47)) % 0.42/0.63 (step @p64 :rule refl :args (@t35)) % 0.42/0.63 (step @p65 :rule nary_cong :premises (@p64 @p63 @p62) :args ((or @t35 (not @t48) (not @t44)))) % 0.42/0.63 (assume-push @p140 @t33) % 0.42/0.63 (assume-push @p141 @t48) % 0.42/0.63 (assume-push @p142 @t44) % 0.42/0.63 (step @p69 :rule arith-elim-leq :args (@t37 -1)) % 0.42/0.63 (step @p70 :rule symm :premises (@p69)) % 0.42/0.63 (step @p71 :rule cong :premises (@p70) :args ((not (>= -1 @t37)))) % 0.42/0.63 (step @p72 :rule arith-elim-gt :args (@t37 -1)) % 0.42/0.63 (step @p73 :rule trans :premises (@p72 @p71)) % 0.42/0.63 (step @p74 :rule evaluate :args (@t49)) % 0.42/0.63 (step @p75 :rule refl :args (@t37)) % 0.42/0.63 (step @p76 :rule cong :premises (@p75 @p74) :args (@t50)) % 0.42/0.63 (step @p77 :rule cong :premises (@p76) :args ((not @t50))) % 0.42/0.63 (step @p78 :rule arith-leq-norm :args (@t37 -1)) % 0.42/0.63 (step @p79 :rule trans :premises (@p78 @p77)) % 0.42/0.63 (step @p80 :rule cong :premises (@p79) :args ((not @t51))) % 0.42/0.63 (step @p81 :rule trans :premises (@p80 @p62)) % 0.42/0.63 (step @p82 :rule trans :premises (@p73 @p81)) % 0.42/0.63 (step @p83 :rule symm :premises (@p82)) % 0.42/0.63 (step @p84 :rule trans :premises (@p81 @p83)) % 0.42/0.63 (assume-push @p143 @t51) % 0.42/0.63 (step @p86 :rule evaluate :args ((not true))) % 0.42/0.63 (step @p87 :rule evaluate :args ((>= 0 0))) % 0.42/0.63 (step @p88 :rule evaluate :args ((+ -1 0 1))) % 0.42/0.63 (step @p89 :rule evaluate :args (@t52)) % 0.42/0.63 (step @p90 :rule refl :args (-1)) % 0.42/0.63 (step @p91 :rule nary_cong :premises (@p90 @p47 @p89) :args (@t53)) % 0.42/0.63 (step @p92 :rule trans :premises (@p91 @p88)) % 0.42/0.63 (step @p93 :rule arith_poly_norm :args ((= (+ @t45 0 @t27 0 0) 0))) % 0.42/0.63 (step @p94 :rule arith_poly_norm :args ((= @t54 0))) % 0.42/0.63 (step @p95 :rule arith_poly_norm :args ((= @t55 0))) % 0.42/0.63 (step @p96 :rule refl :args (@t27)) % 0.42/0.63 (step @p97 :rule arith_poly_norm :args ((= @t56 0))) % 0.42/0.63 (step @p98 :rule refl :args (@t45)) % 0.42/0.63 (step @p99 :rule nary_cong :premises (@p98 @p97 @p96 @p95 @p94) :args (@t57)) % 0.42/0.63 (step @p100 :rule trans :premises (@p99 @p93)) % 0.42/0.63 (step @p101 :rule arith_poly_norm :args ((= @t58 @t57))) % 0.42/0.63 (step @p102 :rule trans :premises (@p101 @p100)) % 0.42/0.63 (step @p103 :rule cong :premises (@p102 @p92) :args (@t59)) % 0.42/0.63 (step @p104 :rule trans :premises (@p103 @p87)) % 0.42/0.63 (step @p105 :rule cong :premises (@p104) :args ((not @t59))) % 0.42/0.63 (step @p106 :rule trans :premises (@p105 @p86)) % 0.42/0.63 (step @p107 :rule arith-elim-lt :args (@t58 @t53)) % 0.42/0.63 (step @p108 :rule trans :premises (@p107 @p106)) % 0.42/0.63 (step @p109 :rule arith_mult_neg :args (-1 @t33)) % 0.42/0.63 (step @p110 :rule evaluate :args ((< -1 0))) % 0.42/0.63 (step @p111 :rule true_elim :premises (@p110)) % 0.42/0.63 (step @p112 :rule and_intro :premises (@p111 @p44)) % 0.42/0.63 (step @p113 :rule modus_ponens :premises (@p112 @p109)) % 0.42/0.63 (step @p114 :rule arith-elim-lt :args (@t46 0)) % 0.42/0.63 (step @p115 :rule symm :premises (@p114)) % 0.42/0.63 (step @p116 :rule eq_resolve :premises (@p46 @p115)) % 0.42/0.63 (step @p117 :rule arith-elim-lt :args (@t37 0)) % 0.42/0.63 (step @p118 :rule symm :premises (@p117)) % 0.42/0.63 (step @p119 :rule eq_resolve :premises (@p61 @p118)) % 0.42/0.63 (step @p120 :rule int_tight_ub :premises (@p119)) % 0.42/0.63 (step @p121 :rule arith_sum_ub :premises (@p120 @p116 @p113)) % 0.42/0.63 (step @p122 false :rule eq_resolve :premises (@p121 @p108)) % 0.42/0.63 (step-pop @p144 :rule scope :premises (@p122)) % 0.42/0.63 (step @p123 :rule process_scope :premises (@p144) :args (false)) % 0.42/0.63 (step @p125 :rule eq_resolve :premises (@p123 @p84)) % 0.42/0.63 (step @p126 :rule eq_resolve :premises (@p125 @p73)) % 0.42/0.63 (step @p117 :rule arith-elim-lt :args (@t37 0)) % 0.42/0.63 (step @p118 :rule symm :premises (@p117)) % 0.42/0.63 (step @p119 :rule eq_resolve :premises (@p61 @p118)) % 0.42/0.63 (step @p127 :rule int_tight_ub :premises (@p119)) % 0.42/0.63 (step @p128 false :rule contra :premises (@p127 @p126)) % 0.42/0.63 (step-pop @p145 :rule scope :premises (@p128)) % 0.42/0.63 (step-pop @p146 :rule scope :premises (@p145)) % 0.42/0.63 (step-pop @p147 :rule scope :premises (@p146)) % 0.42/0.63 (step @p129 :rule process_scope :premises (@p147) :args (false)) % 0.42/0.63 (step @p133 :rule not_and :premises (@p129)) % 0.42/0.63 (step @p134 :rule eq_resolve :premises (@p133 @p65)) % 0.42/0.63 (step @p135 false :rule chain_m_resolution :premises (@p134 @p61 @p46 @p44) :args (false (@list true true false) (@list @t43 @t47 @t33))) % 0.42/0.64 ) % 0.42/0.64 % SZS output end Proof % 0.42/0.64 % cvc5 exiting %------------------------------------------------------------------------------