%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM892_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 : 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 08:40:56 AM UTC 2026 % Result : Theorem 0.36s 0.58s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM892_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 12:31:10 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.51 %----Proving TF0_ARI % 0.36/0.58 --- Run --finite-model-find --decision=internal at 45... % 0.36/0.58 % SZS status Theorem % 0.36/0.58 % SZS output start Proof % 0.36/0.58 ( % 0.36/0.58 (define @t1 () (@var "Y" Int)) % 0.36/0.58 (define @t2 () (@var "X" Int)) % 0.36/0.58 (define @t3 () (= @t2 @t1)) % 0.36/0.58 (define @t4 () (or (< @t2 @t1) @t3)) % 0.36/0.58 (define @t5 () (= (<= @t2 @t1) @t4)) % 0.36/0.58 (define @t6 () (@list @t2 @t1)) % 0.36/0.58 (define @t7 () (forall @t6 @t5)) % 0.36/0.58 (define @t8 () (not @t7)) % 0.36/0.58 (define @t9 () (+ @t2 (* -1 @t1))) % 0.36/0.58 (define @t10 () (>= @t9 0)) % 0.36/0.58 (define @t11 () (>= @t9 1)) % 0.36/0.58 (define @t12 () (forall @t6 (= (not @t11) (or (not @t10) @t3)))) % 0.36/0.58 (define @t13 () (@quantifiers_skolemize @t12 1)) % 0.36/0.58 (define @t14 () (* -1 @t13)) % 0.36/0.58 (define @t15 () (@quantifiers_skolemize @t12 0)) % 0.36/0.58 (define @t16 () (+ @t15 @t14)) % 0.36/0.58 (define @t17 () (>= @t16 0)) % 0.36/0.58 (define @t18 () (= @t15 @t13)) % 0.36/0.58 (define @t19 () (not @t17)) % 0.36/0.58 (define @t20 () (or @t19 @t18)) % 0.36/0.58 (define @t21 () (>= @t2 @t1)) % 0.36/0.58 (define @t22 () (+ @t1 1)) % 0.36/0.58 (define @t23 () (>= @t2 @t22)) % 0.36/0.58 (define @t24 () (>= @t16 1)) % 0.36/0.58 (define @t25 () (not @t24)) % 0.36/0.58 (define @t26 () (= @t25 @t20)) % 0.36/0.58 (define @t27 () (not @t18)) % 0.36/0.58 (define @t28 () (not @t25)) % 0.36/0.58 (define @t29 () (+ 0 1)) % 0.36/0.58 (define @t30 () (>= @t16 @t29)) % 0.36/0.58 (define @t31 () (* 1 (- @t15 @t13))) % 0.36/0.58 (define @t32 () (* 1 (- @t16 0))) % 0.36/0.58 (define @t33 () (= @t32 @t31)) % 0.36/0.58 (define @t34 () (= @t16 0)) % 0.36/0.58 (define @t35 () (= @t34 @t18)) % 0.36/0.58 (define @t36 () (not @t20)) % 0.36/0.58 (define @t37 () (>= @t15 @t13)) % 0.36/0.58 (define @t38 () (+ @t13 1)) % 0.36/0.58 (define @t39 () (>= @t15 @t38)) % 0.36/0.58 (define @t40 () (<= @t15 @t13)) % 0.36/0.58 (define @t41 () (not @t37)) % 0.36/0.58 (define @t42 () (not @t40)) % 0.36/0.58 (define @t43 () (+ @t14 @t13)) % 0.36/0.58 (define @t44 () (+ (* -1 @t15) @t15)) % 0.36/0.58 (define @t45 () (>= @t44 @t43)) % 0.36/0.58 (define @t46 () (< -1 0)) % 0.36/0.58 (define @t47 () (@list false false)) % 0.36/0.58 (define @t48 () (* -1 1)) % 0.36/0.58 (define @t49 () (+ 0 @t48)) % 0.36/0.58 (define @t50 () (* 0 @t15)) % 0.36/0.58 (define @t51 () (* 0 @t13)) % 0.36/0.58 (define @t52 () (+ @t51 @t50)) % 0.36/0.58 (define @t53 () (+ @t16 (* -1 @t16))) % 0.36/0.58 (define @t54 () (and @t18 @t24)) % 0.36/0.58 (assume @p1 @t8) % 0.36/0.58 (assume @p2 true) % 0.36/0.58 (step @p3 :rule bool-double-not-elim :args (@t17)) % 0.36/0.58 (step @p4 :rule refl :args (@t20)) % 0.36/0.58 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t20 (not @t19)))) % 0.36/0.58 (step @p6 :rule cnf_or_neg :args (@t20 0)) % 0.36/0.58 (step @p7 :rule eq_resolve :premises (@p6 @p5)) % 0.36/0.58 (step @p8 :rule reordering :premises (@p7) :args ((or @t17 @t20))) % 0.36/0.58 (step @p9 :rule cnf_or_neg :args (@t20 1)) % 0.36/0.58 (step @p10 :rule refl :args (@t3)) % 0.36/0.58 (step @p11 :rule arith_poly_norm :args ((= (* 1 (- @t2 @t1)) (* 1 (- @t9 0))))) % 0.36/0.58 (step @p12 :rule arith_poly_norm_rel :premises (@p11) :args ((= @t21 @t10))) % 0.36/0.58 (step @p13 :rule cong :premises (@p12) :args ((not @t21))) % 0.36/0.58 (step @p14 :rule arith-elim-lt :args (@t2 @t1)) % 0.36/0.58 (step @p15 :rule trans :premises (@p14 @p13)) % 0.36/0.58 (step @p16 :rule nary_cong :premises (@p15 @p10) :args (@t4)) % 0.36/0.58 (step @p17 :rule arith_poly_norm :args ((= (* -1 (- @t2 @t22)) (* -1 (- @t9 1))))) % 0.36/0.58 (step @p18 :rule arith_poly_norm_rel :premises (@p17) :args ((= @t23 @t11))) % 0.36/0.58 (step @p19 :rule cong :premises (@p18) :args ((not @t23))) % 0.36/0.58 (step @p20 :rule arith-leq-norm :args (@t2 @t1)) % 0.36/0.58 (step @p21 :rule trans :premises (@p20 @p19)) % 0.36/0.58 (step @p22 :rule cong :premises (@p21 @p16) :args (@t5)) % 0.36/0.58 (step @p23 :rule cong :premises (@p22) :args (@t7)) % 0.36/0.58 (step @p24 :rule cong :premises (@p23) :args (@t8)) % 0.36/0.58 (step @p25 :rule eq_resolve :premises (@p1 @p24)) % 0.36/0.58 (step @p26 :rule skolemize :premises (@p25)) % 0.36/0.58 (step @p27 :rule cnf_equiv_neg1 :args (@t26)) % 0.36/0.58 (step @p28 :rule reordering :premises (@p27) :args ((or @t25 @t20 @t26))) % 0.36/0.58 (step @p29 :rule bool-double-not-elim :args (@t18)) % 0.36/0.58 (step @p30 :rule refl :args (@t19)) % 0.36/0.58 (step @p31 :rule bool-double-not-elim :args (@t24)) % 0.36/0.58 (step @p32 :rule nary_cong :premises (@p31 @p30 @p29) :args ((or @t28 @t19 (not @t27)))) % 0.36/0.58 (assume-push @p181 @t25) % 0.36/0.58 (assume-push @p182 @t17) % 0.36/0.58 (assume-push @p183 @t27) % 0.36/0.58 (step @p36 :rule evaluate :args (@t29)) % 0.36/0.58 (step @p37 :rule refl :args (@t16)) % 0.36/0.58 (step @p38 :rule cong :premises (@p37 @p36) :args (@t30)) % 0.36/0.58 (step @p39 :rule cong :premises (@p38) :args ((not @t30))) % 0.36/0.58 (step @p40 :rule arith-leq-norm :args (@t16 0)) % 0.36/0.58 (step @p41 :rule trans :premises (@p40 @p39)) % 0.36/0.58 (step @p42 :rule cong :premises (@p41) :args ((not (<= @t16 0)))) % 0.36/0.58 (step @p43 :rule trans :premises (@p42 @p31)) % 0.36/0.58 (step @p44 :rule arith-elim-leq :args (@t16 0)) % 0.36/0.58 (step @p45 :rule symm :premises (@p44)) % 0.36/0.58 (step @p46 :rule cong :premises (@p45) :args ((not (>= 0 @t16)))) % 0.36/0.58 (step @p47 :rule arith-elim-gt :args (@t16 0)) % 0.36/0.58 (step @p48 :rule trans :premises (@p47 @p46)) % 0.36/0.58 (step @p49 :rule trans :premises (@p48 @p43)) % 0.36/0.58 (step @p50 :rule cong :premises (@p49) :args ((not (> @t16 0)))) % 0.36/0.58 (step @p51 :rule symm :premises (@p50)) % 0.36/0.58 (step @p52 :rule trans :premises (@p41 @p51)) % 0.36/0.58 (step @p53 :rule arith-elim-lt :args (@t16 1)) % 0.36/0.58 (step @p54 :rule symm :premises (@p53)) % 0.36/0.58 (step @p55 :rule eq_resolve :premises (@p181 @p54)) % 0.36/0.58 (step @p56 :rule int_tight_ub :premises (@p55)) % 0.36/0.58 (step @p57 :rule eq_resolve :premises (@p56 @p52)) % 0.36/0.58 (step @p58 :rule arith_poly_norm :args (@t33)) % 0.36/0.58 (step @p59 :rule arith_poly_norm_rel :premises (@p58) :args (@t35)) % 0.36/0.58 (step @p60 :rule cong :premises (@p59) :args ((not @t34))) % 0.36/0.58 (step @p61 :rule symm :premises (@p60)) % 0.36/0.58 (step @p62 :rule eq_resolve :premises (@p183 @p61)) % 0.36/0.58 (step @p63 :rule arith_trichotomy :premises (@p182 @p62)) % 0.36/0.58 (step @p64 false :rule contra :premises (@p63 @p57)) % 0.36/0.58 (step-pop @p184 :rule scope :premises (@p64)) % 0.36/0.58 (step-pop @p185 :rule scope :premises (@p184)) % 0.36/0.58 (step-pop @p186 :rule scope :premises (@p185)) % 0.36/0.58 (step @p65 :rule process_scope :premises (@p186) :args (false)) % 0.36/0.58 (step @p69 :rule not_and :premises (@p65)) % 0.36/0.58 (step @p70 :rule eq_resolve :premises (@p69 @p32)) % 0.36/0.58 (step @p71 :rule chain_m_resolution :premises (@p70 @p28 @p26 @p9 @p8) :args (@t20 (@list true true true false) (@list @t24 @t26 @t18 @t17))) % 0.36/0.58 (step @p72 :rule refl :args (@t36)) % 0.36/0.58 (step @p73 :rule refl :args (@t26)) % 0.36/0.58 (step @p74 :rule nary_cong :premises (@p73 @p31 @p72) :args ((or @t26 @t28 @t36))) % 0.36/0.58 (step @p75 :rule cnf_equiv_neg2 :args (@t26)) % 0.36/0.58 (step @p76 :rule eq_resolve :premises (@p75 @p74)) % 0.36/0.58 (step @p77 :rule reordering :premises (@p76) :args ((or @t24 @t26 @t36))) % 0.36/0.58 (step @p78 :rule chain_m_resolution :premises (@p77 @p26 @p71) :args (@t24 (@list true false) (@list @t26 @t20))) % 0.36/0.58 (step @p79 :rule arith_poly_norm :args ((= @t31 @t32))) % 0.36/0.58 (step @p80 :rule arith_poly_norm_rel :premises (@p79) :args ((= @t37 @t17))) % 0.36/0.58 (step @p81 :rule arith_poly_norm :args ((= (* -1 (- @t15 @t38)) (* -1 (- @t16 1))))) % 0.36/0.58 (step @p82 :rule arith_poly_norm_rel :premises (@p81) :args ((= @t39 @t24))) % 0.36/0.58 (step @p83 :rule cong :premises (@p82) :args ((not @t39))) % 0.36/0.58 (step @p84 :rule arith-leq-norm :args (@t15 @t13)) % 0.36/0.58 (step @p85 :rule trans :premises (@p84 @p83)) % 0.36/0.58 (step @p86 :rule nary_cong :premises (@p85 @p80) :args ((or @t40 @t37))) % 0.36/0.58 (step @p87 :rule symm :premises (@p86)) % 0.36/0.58 (step @p88 :rule bool-double-not-elim :args (@t37)) % 0.36/0.58 (step @p89 :rule trans :premises (@p88 @p80)) % 0.36/0.58 (step @p90 :rule bool-double-not-elim :args (@t40)) % 0.36/0.58 (step @p91 :rule trans :premises (@p90 @p85)) % 0.36/0.58 (step @p92 :rule nary_cong :premises (@p91 @p89) :args ((or (not @t42) (not @t41)))) % 0.36/0.58 (step @p93 :rule trans :premises (@p92 @p87)) % 0.36/0.58 (assume-push @p187 @t42) % 0.36/0.58 (assume-push @p188 @t41) % 0.36/0.58 (step @p96 :rule evaluate :args ((not true))) % 0.36/0.58 (step @p97 :rule evaluate :args ((>= 0 0))) % 0.36/0.58 (step @p98 :rule arith_poly_norm :args ((= @t43 0))) % 0.36/0.58 (step @p99 :rule arith_poly_norm :args ((= @t44 0))) % 0.36/0.58 (step @p100 :rule cong :premises (@p99 @p98) :args (@t45)) % 0.36/0.58 (step @p101 :rule trans :premises (@p100 @p97)) % 0.36/0.58 (step @p102 :rule cong :premises (@p101) :args ((not @t45))) % 0.36/0.58 (step @p103 :rule trans :premises (@p102 @p96)) % 0.36/0.58 (step @p104 :rule arith-elim-lt :args (@t44 @t43)) % 0.36/0.58 (step @p105 :rule trans :premises (@p104 @p103)) % 0.36/0.58 (step @p106 :rule cong :premises (@p80) :args (@t41)) % 0.36/0.58 (step @p107 :rule arith-elim-lt :args (@t15 @t13)) % 0.36/0.58 (step @p108 :rule trans :premises (@p107 @p106)) % 0.36/0.58 (step @p109 :rule symm :premises (@p108)) % 0.36/0.58 (step @p110 :rule trans :premises (@p106 @p109)) % 0.36/0.58 (step @p111 :rule eq_resolve :premises (@p188 @p110)) % 0.36/0.58 (step @p112 :rule arith_mult_neg :args (-1 (> @t15 @t13))) % 0.36/0.58 (step @p113 :rule cong :premises (@p85) :args (@t42)) % 0.36/0.58 (step @p114 :rule trans :premises (@p113 @p31)) % 0.36/0.58 (step @p115 :rule arith-elim-leq :args (@t15 @t13)) % 0.36/0.58 (step @p116 :rule symm :premises (@p115)) % 0.36/0.58 (step @p117 :rule cong :premises (@p116) :args ((not (>= @t13 @t15)))) % 0.36/0.58 (step @p118 :rule arith-elim-gt :args (@t15 @t13)) % 0.36/0.58 (step @p119 :rule trans :premises (@p118 @p117)) % 0.36/0.58 (step @p120 :rule trans :premises (@p119 @p114)) % 0.36/0.58 (step @p121 :rule symm :premises (@p120)) % 0.36/0.58 (step @p122 :rule trans :premises (@p114 @p121)) % 0.36/0.58 (step @p123 :rule eq_resolve :premises (@p187 @p122)) % 0.36/0.58 (step @p124 :rule evaluate :args (@t46)) % 0.36/0.58 (step @p125 :rule true_elim :premises (@p124)) % 0.36/0.58 (step @p126 :rule and_intro :premises (@p125 @p123)) % 0.36/0.58 (step @p127 :rule modus_ponens :premises (@p126 @p112)) % 0.36/0.58 (step @p128 :rule arith_sum_ub :premises (@p127 @p111)) % 0.36/0.58 (step @p129 false :rule eq_resolve :premises (@p128 @p105)) % 0.36/0.58 (step-pop @p189 :rule scope :premises (@p129)) % 0.36/0.58 (step-pop @p190 :rule scope :premises (@p189)) % 0.36/0.58 (step @p130 :rule process_scope :premises (@p190) :args (false)) % 0.36/0.58 (step @p133 :rule not_and :premises (@p130)) % 0.36/0.58 (step @p134 :rule eq_resolve :premises (@p133 @p93)) % 0.36/0.58 (step @p135 :rule eq_resolve :premises (@p134 @p86)) % 0.36/0.58 (step @p136 :rule chain_m_resolution :premises (@p135 @p78) :args (@t17 (@list false) (@list @t24))) % 0.36/0.58 (step @p137 :rule cnf_or_pos :args (@t20)) % 0.36/0.58 (step @p138 :rule reordering :premises (@p137) :args ((or @t19 @t18 @t36))) % 0.36/0.58 (step @p139 :rule chain_m_resolution :premises (@p138 @p136 @p71) :args (@t18 @t47 (@list @t17 @t20))) % 0.36/0.58 (assume-push @p191 @t18) % 0.36/0.58 (assume-push @p192 @t24) % 0.36/0.58 (assume-push @p193 @t34) % 0.36/0.58 (step @p143 :rule evaluate :args ((<= 0 -1))) % 0.36/0.58 (step @p144 :rule evaluate :args ((+ 0 -1))) % 0.36/0.58 (step @p145 :rule evaluate :args (@t48)) % 0.36/0.58 (step @p146 :rule refl :args (0)) % 0.36/0.58 (step @p147 :rule nary_cong :premises (@p146 @p145) :args (@t49)) % 0.36/0.58 (step @p148 :rule trans :premises (@p147 @p144)) % 0.36/0.58 (step @p149 :rule evaluate :args ((+ 0 0))) % 0.36/0.58 (step @p150 :rule arith_poly_norm :args ((= @t50 0))) % 0.36/0.58 (step @p151 :rule arith_poly_norm :args ((= @t51 0))) % 0.36/0.58 (step @p152 :rule nary_cong :premises (@p151 @p150) :args (@t52)) % 0.36/0.58 (step @p153 :rule trans :premises (@p152 @p149)) % 0.36/0.58 (step @p154 :rule arith_poly_norm :args ((= @t53 @t52))) % 0.36/0.58 (step @p155 :rule trans :premises (@p154 @p153)) % 0.36/0.58 (step @p156 :rule cong :premises (@p155 @p148) :args ((<= @t53 @t49))) % 0.36/0.58 (step @p157 :rule trans :premises (@p156 @p143)) % 0.36/0.58 (step @p158 :rule arith_mult_neg :args (-1 @t24)) % 0.36/0.58 (step @p124 :rule evaluate :args (@t46)) % 0.36/0.58 (step @p125 :rule true_elim :premises (@p124)) % 0.36/0.58 (step @p159 :rule and_intro :premises (@p125 @p192)) % 0.36/0.58 (step @p160 :rule modus_ponens :premises (@p159 @p158)) % 0.36/0.58 (step @p161 :rule arith_sum_ub :premises (@p193 @p160)) % 0.36/0.58 (step @p162 false :rule eq_resolve :premises (@p161 @p157)) % 0.36/0.58 (step-pop @p194 :rule scope :premises (@p162)) % 0.36/0.58 (step @p163 :rule process_scope :premises (@p194) :args (false)) % 0.36/0.58 (step @p58 :rule arith_poly_norm :args (@t33)) % 0.36/0.58 (step @p59 :rule arith_poly_norm_rel :premises (@p58) :args (@t35)) % 0.36/0.58 (step @p165 :rule symm :premises (@p59)) % 0.36/0.58 (step @p166 :rule eq_resolve :premises (@p191 @p165)) % 0.36/0.58 (step @p167 false :rule contra :premises (@p166 @p163)) % 0.36/0.58 (step-pop @p195 :rule scope :premises (@p167)) % 0.36/0.58 (step-pop @p196 :rule scope :premises (@p195)) % 0.36/0.58 (step @p168 :rule process_scope :premises (@p196) :args (false)) % 0.36/0.58 (assume-push @p197 @t24) % 0.36/0.58 (assume-push @p198 @t18) % 0.36/0.58 (step @p173 :rule and_intro :premises (@p198 @p197)) % 0.36/0.58 (step-pop @p199 :rule scope :premises (@p173)) % 0.36/0.58 (step-pop @p200 :rule scope :premises (@p199)) % 0.36/0.58 (step @p174 :rule process_scope :premises (@p200) :args (@t54)) % 0.36/0.58 (step @p177 :rule implies_elim :premises (@p174)) % 0.36/0.58 (step @p178 :rule resolution :premises (@p177 @p168) :args (true @t54)) % 0.36/0.58 (step @p179 :rule not_and :premises (@p178)) % 0.36/0.58 (step @p180 false :rule chain_m_resolution :premises (@p179 @p139 @p78) :args (false @t47 (@list @t18 @t24))) % 0.36/0.58 ) % 0.36/0.58 % SZS output end Proof % 0.36/0.58 % cvc5 exiting %------------------------------------------------------------------------------