%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI729_1 : TPTP v9.2.1. Released v6.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:08:12 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI729_1 : TPTP v9.2.1. Released v6.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 02:32:25 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.49 %----Proving TF0_ARI % 0.38/0.56 --- Run --finite-model-find --decision=internal at 45... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (define @t1 () (@var "Y" Real)) % 0.38/0.56 (define @t2 () (@var "X" Real)) % 0.38/0.56 (define @t3 () (- @t2 @t1)) % 0.38/0.56 (define @t4 () (= (to_int @t2) (to_int @t1))) % 0.38/0.56 (define @t5 () (=> @t4 (< @t3 1/1))) % 0.38/0.56 (define @t6 () (@list @t2 @t1)) % 0.38/0.56 (define @t7 () (forall @t6 @t5)) % 0.38/0.56 (define @t8 () (not @t7)) % 0.38/0.56 (define @t9 () (+ @t2 (* -1/1 @t1))) % 0.38/0.56 (define @t10 () (not (>= @t9 1/1))) % 0.38/0.56 (define @t11 () (forall @t6 (or (not @t4) @t10))) % 0.38/0.56 (define @t12 () (@quantifiers_skolemize @t11 1)) % 0.38/0.56 (define @t13 () (to_int @t12)) % 0.38/0.56 (define @t14 () (@purify @t13)) % 0.38/0.56 (define @t15 () (to_real (* -1 @t14))) % 0.38/0.56 (define @t16 () (to_real @t14)) % 0.38/0.56 (define @t17 () (* -1/1 @t16)) % 0.38/0.56 (define @t18 () (+ @t12 @t17)) % 0.38/0.56 (define @t19 () (- @t12 @t16)) % 0.38/0.56 (define @t20 () (>= @t19 1/1)) % 0.38/0.56 (define @t21 () (+ @t12 @t15)) % 0.38/0.56 (define @t22 () (<= 0/1 @t19)) % 0.38/0.56 (define @t23 () (@quantifiers_skolemize @t11 0)) % 0.38/0.56 (define @t24 () (to_int @t23)) % 0.38/0.56 (define @t25 () (@purify @t24)) % 0.38/0.56 (define @t26 () (* -1 @t25)) % 0.38/0.56 (define @t27 () (to_real @t26)) % 0.38/0.57 (define @t28 () (to_real @t25)) % 0.38/0.57 (define @t29 () (* -1/1 @t28)) % 0.38/0.57 (define @t30 () (+ @t23 @t29)) % 0.38/0.57 (define @t31 () (- @t23 @t28)) % 0.38/0.57 (define @t32 () (>= @t31 1/1)) % 0.38/0.57 (define @t33 () (+ @t23 @t27)) % 0.38/0.57 (define @t34 () (<= 0/1 @t31)) % 0.38/0.57 (define @t35 () (>= @t3 1/1)) % 0.38/0.57 (define @t36 () (* -1/1 @t12)) % 0.38/0.57 (define @t37 () (+ @t23 @t36)) % 0.38/0.57 (define @t38 () (>= @t37 1/1)) % 0.38/0.57 (define @t39 () (not @t38)) % 0.38/0.57 (define @t40 () (= @t14 @t25)) % 0.38/0.57 (define @t41 () (not @t40)) % 0.38/0.57 (define @t42 () (or @t41 @t39)) % 0.38/0.57 (define @t43 () (not @t42)) % 0.38/0.57 (define @t44 () (not @t11)) % 0.38/0.57 (define @t45 () (- @t14 @t25)) % 0.38/0.57 (define @t46 () (= @t24 @t13)) % 0.38/0.57 (define @t47 () (not @t46)) % 0.38/0.57 (define @t48 () (or @t47 @t39)) % 0.38/0.57 (define @t49 () (not @t48)) % 0.38/0.57 (define @t50 () (@list true)) % 0.38/0.57 (define @t51 () (@list @t42)) % 0.38/0.57 (define @t52 () (>= @t33 1/1)) % 0.38/0.57 (define @t53 () (>= @t21 0/1)) % 0.38/0.57 (define @t54 () (not @t53)) % 0.38/0.57 (define @t55 () (not @t52)) % 0.38/0.57 (define @t56 () (to_real 0)) % 0.38/0.57 (define @t57 () (* -1 0)) % 0.38/0.57 (define @t58 () (to_real @t57)) % 0.38/0.57 (define @t59 () (* -1/1 1/1)) % 0.38/0.57 (define @t60 () (* -1/1 0/1)) % 0.38/0.57 (define @t61 () (+ @t60 @t59 1/1 @t58)) % 0.38/0.57 (define @t62 () (* 0/1 @t23)) % 0.38/0.57 (define @t63 () (* 0 @t25)) % 0.38/0.57 (define @t64 () (to_real @t63)) % 0.38/0.57 (define @t65 () (+ @t64 @t16 @t15 @t12 @t36 @t62)) % 0.38/0.57 (define @t66 () (+ @t14 @t26)) % 0.38/0.57 (define @t67 () (to_real (* -1 @t66))) % 0.38/0.57 (define @t68 () (+ (* -1/1 @t21) (* -1/1 @t37) @t33 @t67)) % 0.38/0.57 (define @t69 () (>= @t68 @t61)) % 0.38/0.57 (define @t70 () (= @t66 0)) % 0.38/0.57 (define @t71 () (and @t40 @t55 @t38 @t53)) % 0.38/0.57 (assume @p1 @t8) % 0.38/0.57 (assume @p2 true) % 0.38/0.57 (step @p3 :rule refl :args (1/1)) % 0.38/0.57 (step @p4 :rule arith_poly_norm :args ((= @t17 @t15))) % 0.38/0.57 (step @p5 :rule refl :args (@t12)) % 0.38/0.57 (step @p6 :rule nary_cong :premises (@p5 @p4) :args (@t18)) % 0.38/0.57 (step @p7 :rule arith_poly_norm :args ((= @t19 @t18))) % 0.38/0.57 (step @p8 :rule trans :premises (@p7 @p6)) % 0.38/0.57 (step @p9 :rule cong :premises (@p8 @p3) :args (@t20)) % 0.38/0.57 (step @p10 :rule cong :premises (@p9) :args ((not @t20))) % 0.38/0.57 (step @p11 :rule arith-elim-lt :args (@t19 1/1)) % 0.38/0.57 (step @p12 :rule trans :premises (@p11 @p10)) % 0.38/0.57 (step @p13 :rule arith-elim-leq :args (0/1 @t21)) % 0.38/0.57 (step @p14 :rule refl :args (0/1)) % 0.38/0.57 (step @p15 :rule cong :premises (@p14 @p8) :args (@t22)) % 0.38/0.57 (step @p16 :rule trans :premises (@p15 @p13)) % 0.38/0.57 (step @p17 :rule nary_cong :premises (@p16 @p12) :args ((and @t22 (< @t19 1/1)))) % 0.38/0.57 (step @p18 :rule arith_reduction :args (@t13)) % 0.38/0.57 (step @p19 :rule and_elim :premises (@p18) :args (1)) % 0.38/0.57 (step @p20 :rule eq_resolve :premises (@p19 @p17)) % 0.38/0.57 (step @p21 :rule and_elim :premises (@p20) :args (0)) % 0.38/0.57 (step @p22 :rule arith_poly_norm :args ((= @t29 @t27))) % 0.38/0.57 (step @p23 :rule refl :args (@t23)) % 0.38/0.57 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t30)) % 0.38/0.57 (step @p25 :rule arith_poly_norm :args ((= @t31 @t30))) % 0.38/0.57 (step @p26 :rule trans :premises (@p25 @p24)) % 0.38/0.57 (step @p27 :rule cong :premises (@p26 @p3) :args (@t32)) % 0.38/0.57 (step @p28 :rule cong :premises (@p27) :args ((not @t32))) % 0.38/0.57 (step @p29 :rule arith-elim-lt :args (@t31 1/1)) % 0.38/0.57 (step @p30 :rule trans :premises (@p29 @p28)) % 0.38/0.57 (step @p31 :rule arith-elim-leq :args (0/1 @t33)) % 0.38/0.57 (step @p32 :rule cong :premises (@p14 @p26) :args (@t34)) % 0.38/0.57 (step @p33 :rule trans :premises (@p32 @p31)) % 0.38/0.57 (step @p34 :rule nary_cong :premises (@p33 @p30) :args ((and @t34 (< @t31 1/1)))) % 0.38/0.57 (step @p35 :rule arith_reduction :args (@t24)) % 0.38/0.57 (step @p36 :rule and_elim :premises (@p35) :args (1)) % 0.38/0.57 (step @p37 :rule eq_resolve :premises (@p36 @p34)) % 0.38/0.57 (step @p38 :rule and_elim :premises (@p37) :args (1)) % 0.38/0.57 (step @p39 :rule bool-impl-elim :args (@t4 @t10)) % 0.38/0.57 (step @p40 :rule cong :premises (@p39) :args ((forall @t6 (=> @t4 @t10)))) % 0.38/0.57 (step @p41 :rule arith_poly_norm :args ((= @t3 @t9))) % 0.38/0.57 (step @p42 :rule cong :premises (@p41 @p3) :args (@t35)) % 0.38/0.57 (step @p43 :rule cong :premises (@p42) :args ((not @t35))) % 0.38/0.57 (step @p44 :rule arith-elim-lt :args (@t3 1/1)) % 0.38/0.57 (step @p45 :rule trans :premises (@p44 @p43)) % 0.38/0.57 (step @p46 :rule refl :args (@t4)) % 0.38/0.57 (step @p47 :rule cong :premises (@p46 @p45) :args (@t5)) % 0.38/0.57 (step @p48 :rule cong :premises (@p47) :args (@t7)) % 0.38/0.57 (step @p49 :rule trans :premises (@p48 @p40)) % 0.38/0.57 (step @p50 :rule cong :premises (@p49) :args (@t8)) % 0.38/0.57 (step @p51 :rule eq_resolve :premises (@p1 @p50)) % 0.38/0.57 (step @p52 :rule refl :args (@t43)) % 0.38/0.57 (step @p53 :rule bool-double-not-elim :args (@t11)) % 0.38/0.57 (step @p54 :rule nary_cong :premises (@p53 @p52) :args ((or (not @t44) @t43))) % 0.38/0.57 (step @p55 :rule refl :args (@t39)) % 0.38/0.57 (step @p56 :rule arith_poly_norm :args ((= (* 1 (- @t25 @t14)) (* -1 @t45)))) % 0.38/0.57 (step @p57 :rule arith_poly_norm_rel :premises (@p56) :args ((= (= @t25 @t14) @t40))) % 0.38/0.57 (step @p58 :rule and_elim :premises (@p18) :args (0)) % 0.38/0.57 (step @p59 :rule and_elim :premises (@p35) :args (0)) % 0.38/0.57 (step @p60 :rule cong :premises (@p59 @p58) :args (@t46)) % 0.38/0.57 (step @p61 :rule trans :premises (@p60 @p57)) % 0.38/0.57 (step @p62 :rule cong :premises (@p61) :args (@t47)) % 0.38/0.57 (step @p63 :rule nary_cong :premises (@p62 @p55) :args (@t48)) % 0.38/0.57 (step @p64 :rule cong :premises (@p63) :args (@t49)) % 0.38/0.57 (step @p65 :rule refl :args (@t44)) % 0.38/0.57 (step @p66 :rule cong :premises (@p65 @p64) :args ((=> @t44 @t49))) % 0.38/0.57 (assume-push @p179 @t44) % 0.38/0.57 (step @p68 :rule skolemize :premises (@p51)) % 0.38/0.57 (step-pop @p180 :rule scope :premises (@p68)) % 0.38/0.57 (step @p69 :rule process_scope :premises (@p180) :args (@t49)) % 0.38/0.57 (step @p71 :rule eq_resolve :premises (@p69 @p66)) % 0.38/0.57 (step @p72 :rule implies_elim :premises (@p71)) % 0.38/0.57 (step @p73 :rule eq_resolve :premises (@p72 @p54)) % 0.38/0.57 (step @p74 :rule chain_m_resolution :premises (@p73 @p51) :args (@t43 @t50 (@list @t11))) % 0.38/0.57 (step @p75 :rule bool-double-not-elim :args (@t40)) % 0.38/0.57 (step @p76 :rule refl :args (@t42)) % 0.38/0.57 (step @p77 :rule nary_cong :premises (@p76 @p75) :args ((or @t42 (not @t41)))) % 0.38/0.57 (step @p78 :rule cnf_or_neg :args (@t42 0)) % 0.38/0.57 (step @p79 :rule eq_resolve :premises (@p78 @p77)) % 0.38/0.57 (step @p80 :rule reordering :premises (@p79) :args ((or @t40 @t42))) % 0.38/0.57 (step @p81 :rule chain_m_resolution :premises (@p80 @p74) :args (@t40 @t50 @t51)) % 0.38/0.57 (step @p82 :rule bool-double-not-elim :args (@t38)) % 0.38/0.57 (step @p83 :rule nary_cong :premises (@p76 @p82) :args ((or @t42 (not @t39)))) % 0.38/0.57 (step @p84 :rule cnf_or_neg :args (@t42 1)) % 0.38/0.57 (step @p85 :rule eq_resolve :premises (@p84 @p83)) % 0.38/0.57 (step @p86 :rule reordering :premises (@p85) :args ((or @t38 @t42))) % 0.38/0.57 (step @p87 :rule chain_m_resolution :premises (@p86 @p74) :args (@t38 @t50 @t51)) % 0.38/0.57 (step @p88 :rule bool-double-not-elim :args (@t52)) % 0.38/0.57 (step @p89 :rule refl :args (@t54)) % 0.38/0.57 (step @p90 :rule refl :args (@t41)) % 0.38/0.57 (step @p91 :rule nary_cong :premises (@p55 @p90 @p89 @p88) :args ((or @t39 @t41 @t54 (not @t55)))) % 0.38/0.57 (assume-push @p181 @t40) % 0.38/0.57 (assume-push @p182 @t55) % 0.38/0.57 (assume-push @p183 @t38) % 0.38/0.57 (assume-push @p184 @t53) % 0.38/0.57 (step @p96 :rule arith-elim-lt :args (@t21 0/1)) % 0.38/0.57 (step @p97 :rule symm :premises (@p96)) % 0.38/0.57 (assume-push @p185 @t53) % 0.38/0.57 (step @p99 :rule evaluate :args ((not true))) % 0.38/0.57 (step @p100 :rule evaluate :args ((>= 0/1 0/1))) % 0.38/0.57 (step @p101 :rule evaluate :args ((+ 0/1 -1/1 1/1 0/1))) % 0.38/0.57 (step @p102 :rule evaluate :args (@t56)) % 0.38/0.57 (step @p103 :rule evaluate :args (@t57)) % 0.38/0.57 (step @p104 :rule cong :premises (@p103) :args (@t58)) % 0.38/0.57 (step @p105 :rule trans :premises (@p104 @p102)) % 0.38/0.57 (step @p106 :rule evaluate :args (@t59)) % 0.38/0.57 (step @p107 :rule evaluate :args (@t60)) % 0.38/0.57 (step @p108 :rule nary_cong :premises (@p107 @p106 @p3 @p105) :args (@t61)) % 0.38/0.57 (step @p109 :rule trans :premises (@p108 @p101)) % 0.38/0.57 (step @p110 :rule arith_poly_norm :args ((= (+ 0/1 @t16 @t15 @t12 @t36 0/1) 0/1))) % 0.38/0.57 (step @p111 :rule arith_poly_norm :args ((= @t62 0/1))) % 0.38/0.57 (step @p112 :rule refl :args (@t36)) % 0.38/0.57 (step @p113 :rule refl :args (@t15)) % 0.38/0.57 (step @p114 :rule refl :args (@t16)) % 0.38/0.57 (step @p115 :rule evaluate :args (@t56)) % 0.38/0.57 (step @p116 :rule arith_poly_norm :args ((= @t63 0))) % 0.38/0.57 (step @p117 :rule cong :premises (@p116) :args (@t64)) % 0.38/0.57 (step @p118 :rule trans :premises (@p117 @p115)) % 0.38/0.57 (step @p119 :rule nary_cong :premises (@p118 @p114 @p113 @p5 @p112 @p111) :args (@t65)) % 0.38/0.57 (step @p120 :rule trans :premises (@p119 @p110)) % 0.38/0.57 (step @p121 :rule arith_poly_norm :args ((= @t68 @t65))) % 0.38/0.57 (step @p122 :rule trans :premises (@p121 @p120)) % 0.38/0.57 (step @p123 :rule cong :premises (@p122 @p109) :args (@t69)) % 0.38/0.57 (step @p124 :rule trans :premises (@p123 @p100)) % 0.38/0.57 (step @p125 :rule cong :premises (@p124) :args ((not @t69))) % 0.38/0.57 (step @p126 :rule trans :premises (@p125 @p99)) % 0.38/0.57 (step @p127 :rule arith-elim-lt :args (@t68 @t61)) % 0.38/0.57 (step @p128 :rule trans :premises (@p127 @p126)) % 0.38/0.57 (step @p129 :rule arith_mult_neg :args (-1 @t70)) % 0.38/0.57 (step @p130 :rule arith_poly_norm :args ((= (* 1 (- @t66 0)) (* 1 @t45)))) % 0.38/0.57 (step @p131 :rule arith_poly_norm_rel :premises (@p130) :args ((= @t70 @t40))) % 0.38/0.57 (step @p132 :rule symm :premises (@p131)) % 0.38/0.57 (step @p133 :rule eq_resolve :premises (@p81 @p132)) % 0.38/0.57 (step @p134 :rule evaluate :args ((< -1 0))) % 0.38/0.57 (step @p135 :rule true_elim :premises (@p134)) % 0.38/0.57 (step @p136 :rule and_intro :premises (@p135 @p133)) % 0.38/0.57 (step @p137 :rule modus_ponens :premises (@p136 @p129)) % 0.38/0.57 (step @p138 :rule cong :premises (@p137) :args (@t67)) % 0.38/0.57 (step @p139 :rule arith-elim-lt :args (@t33 1/1)) % 0.38/0.57 (step @p140 :rule symm :premises (@p139)) % 0.38/0.57 (step @p141 :rule eq_resolve :premises (@p38 @p140)) % 0.38/0.57 (step @p142 :rule arith_mult_neg :args (-1/1 @t38)) % 0.38/0.57 (step @p143 :rule evaluate :args ((< -1/1 0/1))) % 0.38/0.57 (step @p144 :rule true_elim :premises (@p143)) % 0.38/0.57 (step @p145 :rule and_intro :premises (@p144 @p87)) % 0.38/0.57 (step @p146 :rule modus_ponens :premises (@p145 @p142)) % 0.38/0.57 (step @p147 :rule arith_mult_neg :args (-1/1 @t53)) % 0.38/0.57 (step @p148 :rule and_elim :premises (@p20) :args (0)) % 0.38/0.57 (step @p149 :rule and_intro :premises (@p144 @p148)) % 0.38/0.57 (step @p150 :rule modus_ponens :premises (@p149 @p147)) % 0.38/0.57 (step @p151 :rule arith_sum_ub :premises (@p150 @p146 @p141 @p138)) % 0.38/0.57 (step @p152 false :rule eq_resolve :premises (@p151 @p128)) % 0.38/0.57 (step-pop @p186 :rule scope :premises (@p152)) % 0.38/0.57 (step @p153 :rule process_scope :premises (@p186) :args (false)) % 0.38/0.57 (step @p155 :rule eq_resolve :premises (@p153 @p97)) % 0.38/0.57 (step @p156 :rule eq_resolve :premises (@p155 @p96)) % 0.38/0.57 (step @p157 false :rule contra :premises (@p21 @p156)) % 0.38/0.57 (step-pop @p187 :rule scope :premises (@p157)) % 0.38/0.57 (step-pop @p188 :rule scope :premises (@p187)) % 0.38/0.57 (step-pop @p189 :rule scope :premises (@p188)) % 0.38/0.57 (step-pop @p190 :rule scope :premises (@p189)) % 0.38/0.57 (step @p158 :rule process_scope :premises (@p190) :args (false)) % 0.38/0.57 (assume-push @p191 @t38) % 0.38/0.57 (assume-push @p192 @t40) % 0.38/0.57 (assume-push @p193 @t53) % 0.38/0.57 (assume-push @p194 @t55) % 0.38/0.57 (step @p167 :rule and_intro :premises (@p81 @p38 @p87 @p21)) % 0.38/0.57 (step-pop @p195 :rule scope :premises (@p167)) % 0.38/0.57 (step-pop @p196 :rule scope :premises (@p195)) % 0.38/0.57 (step-pop @p197 :rule scope :premises (@p196)) % 0.38/0.57 (step-pop @p198 :rule scope :premises (@p197)) % 0.38/0.57 (step @p168 :rule process_scope :premises (@p198) :args (@t71)) % 0.38/0.57 (step @p173 :rule implies_elim :premises (@p168)) % 0.38/0.57 (step @p174 :rule resolution :premises (@p173 @p158) :args (true @t71)) % 0.38/0.57 (step @p175 :rule not_and :premises (@p174)) % 0.38/0.57 (step @p176 :rule eq_resolve :premises (@p175 @p91)) % 0.38/0.57 (step @p177 :rule reordering :premises (@p176) :args ((or @t39 @t41 @t52 @t54))) % 0.38/0.57 (step @p178 false :rule chain_m_resolution :premises (@p177 @p87 @p81 @p38 @p21) :args (false (@list false false true false) (@list @t38 @t40 @t52 @t53))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------