%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI674_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 : 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 08:08:06 AM UTC 2026 % Result : Theorem 0.28s 0.54s % Output : Proof 0.28s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI674_1 : TPTP v9.2.1. Released v6.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n023.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 02:32:58 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.49 %----Proving TF0_ARI % 0.28/0.54 --- Run --finite-model-find --decision=internal at 45... % 0.28/0.54 % SZS status Theorem % 0.28/0.54 % SZS output start Proof % 0.28/0.54 ( % 0.28/0.54 (declare-const tptp.a Int) % 0.28/0.54 (define @t1 () (* tptp.a tptp.a)) % 0.28/0.54 (define @t2 () (<= 4 @t1)) % 0.28/0.54 (define @t3 () (- 2)) % 0.28/0.54 (define @t4 () (<= tptp.a @t3)) % 0.28/0.54 (define @t5 () (or @t4 (<= 2 tptp.a))) % 0.28/0.54 (define @t6 () (not @t5)) % 0.28/0.54 (define @t7 () (* tptp.a tptp.a)) % 0.28/0.54 (define @t8 () (= @t7 1)) % 0.28/0.54 (define @t9 () (>= @t7 4)) % 0.28/0.54 (define @t10 () (* -1 4)) % 0.28/0.54 (define @t11 () (+ 1 @t10)) % 0.28/0.54 (define @t12 () (+ @t7 (* -1 @t7))) % 0.28/0.54 (define @t13 () (= @t12 0)) % 0.28/0.54 (define @t14 () (< -1 0)) % 0.28/0.54 (define @t15 () (and @t8 @t9)) % 0.28/0.54 (define @t16 () (@list false)) % 0.28/0.54 (define @t17 () (= tptp.a 1)) % 0.28/0.54 (define @t18 () (= 1 1)) % 0.28/0.54 (define @t19 () (* 1 1)) % 0.28/0.54 (define @t20 () (not @t17)) % 0.28/0.54 (define @t21 () (@list true)) % 0.28/0.54 (define @t22 () (@list @t8)) % 0.28/0.54 (define @t23 () (= tptp.a -1)) % 0.28/0.54 (define @t24 () (* -1 -1)) % 0.28/0.54 (define @t25 () (not @t23)) % 0.28/0.54 (define @t26 () (+ -2 1)) % 0.28/0.54 (define @t27 () (>= tptp.a @t26)) % 0.28/0.54 (define @t28 () (>= tptp.a 0)) % 0.28/0.54 (define @t29 () (>= tptp.a -1)) % 0.28/0.54 (define @t30 () (not @t29)) % 0.28/0.54 (define @t31 () (not @t28)) % 0.28/0.54 (define @t32 () (and @t25 @t31 @t29)) % 0.28/0.54 (define @t33 () (= tptp.a 0)) % 0.28/0.54 (define @t34 () (>= tptp.a 2)) % 0.28/0.54 (define @t35 () (not @t34)) % 0.28/0.54 (define @t36 () (not (>= tptp.a 1))) % 0.28/0.54 (define @t37 () (and @t35 @t28 @t20)) % 0.28/0.54 (define @t38 () (* 0 0)) % 0.28/0.54 (define @t39 () (= @t7 0)) % 0.28/0.54 (define @t40 () (+ 0 @t10)) % 0.28/0.54 (define @t41 () (and @t39 @t9)) % 0.28/0.54 (assume @p1 @t2) % 0.28/0.54 (assume @p2 @t6) % 0.28/0.54 (assume @p3 true) % 0.28/0.54 (step @p4 :rule arith-elim-leq :args (4 @t7)) % 0.28/0.54 (step @p5 :rule arith_poly_norm :args ((= @t1 @t7))) % 0.28/0.54 (step @p6 :rule refl :args (4)) % 0.28/0.54 (step @p7 :rule cong :premises (@p6 @p5) :args (@t2)) % 0.28/0.54 (step @p8 :rule trans :premises (@p7 @p4)) % 0.28/0.54 (step @p9 :rule eq_resolve :premises (@p1 @p8)) % 0.28/0.54 (assume-push @p204 @t8) % 0.28/0.54 (assume-push @p205 @t9) % 0.28/0.54 (assume-push @p206 @t8) % 0.28/0.54 (step @p13 :rule evaluate :args ((<= 0 -3))) % 0.28/0.54 (step @p14 :rule evaluate :args ((+ 1 -4))) % 0.28/0.54 (step @p15 :rule evaluate :args (@t10)) % 0.28/0.54 (step @p16 :rule refl :args (1)) % 0.28/0.54 (step @p17 :rule nary_cong :premises (@p16 @p15) :args (@t11)) % 0.28/0.54 (step @p18 :rule trans :premises (@p17 @p14)) % 0.28/0.54 (step @p19 :rule arith_poly_norm :args (@t13)) % 0.28/0.54 (step @p20 :rule cong :premises (@p19 @p18) :args ((<= @t12 @t11))) % 0.28/0.54 (step @p21 :rule trans :premises (@p20 @p13)) % 0.28/0.54 (step @p22 :rule arith_mult_neg :args (-1 @t9)) % 0.28/0.54 (step @p23 :rule evaluate :args (@t14)) % 0.28/0.54 (step @p24 :rule true_elim :premises (@p23)) % 0.28/0.54 (step @p25 :rule and_intro :premises (@p24 @p9)) % 0.28/0.54 (step @p26 :rule modus_ponens :premises (@p25 @p22)) % 0.28/0.54 (step @p27 :rule arith_sum_ub :premises (@p204 @p26)) % 0.28/0.54 (step @p28 false :rule eq_resolve :premises (@p27 @p21)) % 0.28/0.54 (step-pop @p207 :rule scope :premises (@p28)) % 0.28/0.54 (step @p29 :rule process_scope :premises (@p207) :args (false)) % 0.28/0.54 (step @p31 false :rule contra :premises (@p204 @p29)) % 0.28/0.54 (step-pop @p208 :rule scope :premises (@p31)) % 0.28/0.54 (step-pop @p209 :rule scope :premises (@p208)) % 0.28/0.54 (step @p32 :rule process_scope :premises (@p209) :args (false)) % 0.28/0.54 (assume-push @p210 @t9) % 0.28/0.54 (assume-push @p211 @t8) % 0.28/0.54 (step @p37 :rule and_intro :premises (@p211 @p9)) % 0.28/0.54 (step-pop @p212 :rule scope :premises (@p37)) % 0.28/0.54 (step-pop @p213 :rule scope :premises (@p212)) % 0.28/0.54 (step @p38 :rule process_scope :premises (@p213) :args (@t15)) % 0.28/0.54 (step @p41 :rule implies_elim :premises (@p38)) % 0.28/0.54 (step @p42 :rule resolution :premises (@p41 @p32) :args (true @t15)) % 0.28/0.54 (step @p43 :rule not_and :premises (@p42)) % 0.28/0.54 (step @p44 :rule chain_m_resolution :premises (@p43 @p9) :args ((not @t8) @t16 (@list @t9))) % 0.28/0.54 (assume-push @p214 @t17) % 0.28/0.54 (step @p46 :rule evaluate :args (@t18)) % 0.28/0.54 (step @p16 :rule refl :args (1)) % 0.28/0.54 (step @p47 :rule evaluate :args (@t19)) % 0.28/0.54 (step @p48 :rule cong :premises (@p47 @p16) :args ((= @t19 1))) % 0.28/0.54 (step @p49 :rule trans :premises (@p48 @p46)) % 0.28/0.54 (step @p50 :rule nary_cong :premises (@p214 @p214) :args (@t7)) % 0.28/0.54 (step @p51 :rule cong :premises (@p50 @p16) :args (@t8)) % 0.28/0.54 (step @p52 :rule trans :premises (@p51 @p49)) % 0.28/0.54 (step @p53 :rule true_elim :premises (@p52)) % 0.28/0.54 (step-pop @p215 :rule scope :premises (@p53)) % 0.28/0.54 (step @p54 :rule process_scope :premises (@p215) :args (@t8)) % 0.28/0.54 (step @p56 :rule implies_elim :premises (@p54)) % 0.28/0.54 (step @p57 :rule reordering :premises (@p56) :args ((or @t8 @t20))) % 0.28/0.54 (step @p58 :rule chain_m_resolution :premises (@p57 @p44) :args (@t20 @t21 @t22)) % 0.28/0.54 (assume-push @p216 @t23) % 0.28/0.54 (step @p46 :rule evaluate :args (@t18)) % 0.28/0.54 (step @p16 :rule refl :args (1)) % 0.28/0.54 (step @p60 :rule evaluate :args (@t24)) % 0.28/0.54 (step @p61 :rule cong :premises (@p60 @p16) :args ((= @t24 1))) % 0.28/0.54 (step @p62 :rule trans :premises (@p61 @p46)) % 0.28/0.54 (step @p63 :rule nary_cong :premises (@p216 @p216) :args (@t7)) % 0.28/0.54 (step @p64 :rule cong :premises (@p63 @p16) :args (@t8)) % 0.28/0.54 (step @p65 :rule trans :premises (@p64 @p62)) % 0.28/0.54 (step @p66 :rule true_elim :premises (@p65)) % 0.28/0.54 (step-pop @p217 :rule scope :premises (@p66)) % 0.28/0.54 (step @p67 :rule process_scope :premises (@p217) :args (@t8)) % 0.28/0.54 (step @p69 :rule implies_elim :premises (@p67)) % 0.28/0.54 (step @p70 :rule reordering :premises (@p69) :args ((or @t8 @t25))) % 0.28/0.54 (step @p71 :rule chain_m_resolution :premises (@p70 @p44) :args (@t25 @t21 @t22)) % 0.28/0.54 (step @p72 :rule arith-elim-leq :args (2 tptp.a)) % 0.28/0.54 (step @p73 :rule evaluate :args (@t26)) % 0.28/0.54 (step @p74 :rule refl :args (tptp.a)) % 0.28/0.54 (step @p75 :rule cong :premises (@p74 @p73) :args (@t27)) % 0.28/0.54 (step @p76 :rule cong :premises (@p75) :args ((not @t27))) % 0.28/0.54 (step @p77 :rule arith-leq-norm :args (tptp.a -2)) % 0.28/0.54 (step @p78 :rule trans :premises (@p77 @p76)) % 0.28/0.54 (step @p79 :rule evaluate :args (@t3)) % 0.28/0.54 (step @p80 :rule refl :args (tptp.a)) % 0.28/0.54 (step @p81 :rule cong :premises (@p80 @p79) :args (@t4)) % 0.28/0.54 (step @p82 :rule trans :premises (@p81 @p78)) % 0.28/0.54 (step @p83 :rule nary_cong :premises (@p82 @p72) :args (@t5)) % 0.28/0.54 (step @p84 :rule cong :premises (@p83) :args (@t6)) % 0.28/0.54 (step @p85 :rule eq_resolve :premises (@p2 @p84)) % 0.28/0.54 (step @p86 :rule not_or_elim :premises (@p85) :args (0)) % 0.28/0.54 (step @p87 :rule not_not_elim :premises (@p86)) % 0.28/0.54 (step @p88 :rule bool-double-not-elim :args (@t23)) % 0.28/0.54 (step @p89 :rule bool-double-not-elim :args (@t28)) % 0.28/0.54 (step @p90 :rule refl :args (@t30)) % 0.28/0.54 (step @p91 :rule nary_cong :premises (@p90 @p89 @p88) :args ((or @t30 (not @t31) (not @t25)))) % 0.28/0.54 (assume-push @p218 @t25) % 0.28/0.54 (assume-push @p219 @t31) % 0.28/0.54 (assume-push @p220 @t29) % 0.28/0.54 (step @p95 :rule arith-elim-lt :args (tptp.a 0)) % 0.28/0.54 (step @p96 :rule symm :premises (@p95)) % 0.28/0.54 (step @p97 :rule eq_resolve :premises (@p219 @p96)) % 0.28/0.54 (step @p98 :rule int_tight_ub :premises (@p97)) % 0.28/0.54 (step @p99 :rule arith_trichotomy :premises (@p98 @p87)) % 0.28/0.54 (step @p100 false :rule contra :premises (@p99 @p218)) % 0.28/0.54 (step-pop @p221 :rule scope :premises (@p100)) % 0.28/0.54 (step-pop @p222 :rule scope :premises (@p221)) % 0.28/0.54 (step-pop @p223 :rule scope :premises (@p222)) % 0.28/0.54 (step @p101 :rule process_scope :premises (@p223) :args (false)) % 0.28/0.54 (assume-push @p224 @t29) % 0.28/0.54 (assume-push @p225 @t31) % 0.28/0.54 (assume-push @p226 @t25) % 0.28/0.54 (step @p108 :rule and_intro :premises (@p226 @p225 @p87)) % 0.28/0.54 (step-pop @p227 :rule scope :premises (@p108)) % 0.28/0.54 (step-pop @p228 :rule scope :premises (@p227)) % 0.28/0.54 (step-pop @p229 :rule scope :premises (@p228)) % 0.28/0.54 (step @p109 :rule process_scope :premises (@p229) :args (@t32)) % 0.28/0.54 (step @p113 :rule implies_elim :premises (@p109)) % 0.28/0.54 (step @p114 :rule resolution :premises (@p113 @p101) :args (true @t32)) % 0.28/0.54 (step @p115 :rule not_and :premises (@p114)) % 0.28/0.54 (step @p116 :rule eq_resolve :premises (@p115 @p91)) % 0.28/0.54 (step @p117 :rule chain_m_resolution :premises (@p116 @p87 @p71) :args (@t28 (@list false true) (@list @t29 @t23))) % 0.28/0.54 (step @p118 :rule not_or_elim :premises (@p85) :args (1)) % 0.28/0.54 (step @p119 :rule refl :args (@t33)) % 0.28/0.54 (step @p120 :rule bool-double-not-elim :args (@t17)) % 0.28/0.54 (step @p121 :rule refl :args (@t31)) % 0.28/0.54 (step @p122 :rule bool-double-not-elim :args (@t34)) % 0.28/0.54 (step @p123 :rule nary_cong :premises (@p122 @p121 @p120 @p119) :args ((or (not @t35) @t31 (not @t20) @t33))) % 0.28/0.54 (assume-push @p230 @t35) % 0.28/0.54 (assume-push @p231 @t28) % 0.28/0.54 (assume-push @p232 @t20) % 0.28/0.54 (assume-push @p233 @t28) % 0.28/0.54 (assume-push @p234 @t36) % 0.28/0.54 (step @p129 :rule arith-elim-lt :args (tptp.a 1)) % 0.28/0.54 (step @p130 :rule symm :premises (@p129)) % 0.28/0.54 (step @p131 :rule eq_resolve :premises (@p234 @p130)) % 0.28/0.54 (step @p132 :rule int_tight_ub :premises (@p131)) % 0.28/0.54 (step @p133 :rule arith_trichotomy :premises (@p231 @p132)) % 0.28/0.54 (step-pop @p235 :rule scope :premises (@p133)) % 0.28/0.54 (step-pop @p236 :rule scope :premises (@p235)) % 0.28/0.54 (step @p134 :rule process_scope :premises (@p236) :args (@t33)) % 0.28/0.54 (assume-push @p237 @t35) % 0.28/0.54 (assume-push @p238 @t20) % 0.28/0.54 (step @p129 :rule arith-elim-lt :args (tptp.a 1)) % 0.28/0.54 (step @p139 :rule arith-elim-lt :args (tptp.a 2)) % 0.28/0.54 (step @p140 :rule symm :premises (@p139)) % 0.28/0.54 (step @p141 :rule eq_resolve :premises (@p118 @p140)) % 0.28/0.54 (step @p142 :rule int_tight_ub :premises (@p141)) % 0.28/0.54 (step @p143 :rule arith_trichotomy :premises (@p142 @p232)) % 0.28/0.54 (step @p144 :rule eq_resolve :premises (@p143 @p129)) % 0.28/0.54 (step-pop @p239 :rule scope :premises (@p144)) % 0.28/0.54 (step-pop @p240 :rule scope :premises (@p239)) % 0.28/0.54 (step @p145 :rule process_scope :premises (@p240) :args (@t36)) % 0.28/0.54 (step @p148 :rule and_intro :premises (@p118 @p232)) % 0.28/0.54 (step @p149 :rule modus_ponens :premises (@p148 @p145)) % 0.28/0.54 (step @p150 :rule and_intro :premises (@p231 @p149)) % 0.28/0.54 (step @p151 :rule modus_ponens :premises (@p150 @p134)) % 0.28/0.54 (step-pop @p241 :rule scope :premises (@p151)) % 0.28/0.54 (step-pop @p242 :rule scope :premises (@p241)) % 0.28/0.54 (step-pop @p243 :rule scope :premises (@p242)) % 0.28/0.54 (step @p152 :rule process_scope :premises (@p243) :args (@t33)) % 0.28/0.54 (step @p156 :rule implies_elim :premises (@p152)) % 0.28/0.54 (step @p157 :rule cnf_and_neg :args (@t37)) % 0.28/0.54 (step @p158 :rule resolution :premises (@p157 @p156) :args (true @t37)) % 0.28/0.54 (step @p159 :rule eq_resolve :premises (@p158 @p123)) % 0.28/0.54 (step @p160 :rule reordering :premises (@p159) :args ((or @t34 @t33 @t31 @t17))) % 0.28/0.54 (step @p161 :rule chain_m_resolution :premises (@p160 @p118 @p117 @p58) :args (@t33 (@list true false true) (@list @t34 @t28 @t17))) % 0.28/0.54 (assume-push @p244 @t33) % 0.28/0.54 (step @p163 :rule evaluate :args ((= 0 0))) % 0.28/0.54 (step @p164 :rule refl :args (0)) % 0.28/0.54 (step @p165 :rule evaluate :args (@t38)) % 0.28/0.54 (step @p166 :rule cong :premises (@p165 @p164) :args ((= @t38 0))) % 0.28/0.54 (step @p167 :rule trans :premises (@p166 @p163)) % 0.28/0.54 (step @p168 :rule nary_cong :premises (@p244 @p244) :args (@t7)) % 0.28/0.54 (step @p169 :rule cong :premises (@p168 @p164) :args (@t39)) % 0.28/0.54 (step @p170 :rule trans :premises (@p169 @p167)) % 0.28/0.54 (step @p171 :rule true_elim :premises (@p170)) % 0.28/0.54 (step-pop @p245 :rule scope :premises (@p171)) % 0.28/0.54 (step @p172 :rule process_scope :premises (@p245) :args (@t39)) % 0.28/0.54 (step @p174 :rule implies_elim :premises (@p172)) % 0.28/0.54 (step @p175 :rule reordering :premises (@p174) :args ((or @t39 (not @t33)))) % 0.28/0.54 (step @p176 :rule chain_m_resolution :premises (@p175 @p161) :args (@t39 @t16 (@list @t33))) % 0.28/0.54 (assume-push @p246 @t39) % 0.28/0.54 (assume-push @p247 @t9) % 0.28/0.54 (assume-push @p248 @t39) % 0.28/0.54 (step @p180 :rule evaluate :args ((<= 0 -4))) % 0.28/0.54 (step @p181 :rule evaluate :args ((+ 0 -4))) % 0.28/0.54 (step @p15 :rule evaluate :args (@t10)) % 0.28/0.54 (step @p164 :rule refl :args (0)) % 0.28/0.54 (step @p182 :rule nary_cong :premises (@p164 @p15) :args (@t40)) % 0.28/0.54 (step @p183 :rule trans :premises (@p182 @p181)) % 0.28/0.54 (step @p19 :rule arith_poly_norm :args (@t13)) % 0.28/0.54 (step @p184 :rule cong :premises (@p19 @p183) :args ((<= @t12 @t40))) % 0.28/0.54 (step @p185 :rule trans :premises (@p184 @p180)) % 0.28/0.54 (step @p22 :rule arith_mult_neg :args (-1 @t9)) % 0.28/0.54 (step @p23 :rule evaluate :args (@t14)) % 0.28/0.54 (step @p24 :rule true_elim :premises (@p23)) % 0.28/0.54 (step @p25 :rule and_intro :premises (@p24 @p9)) % 0.28/0.54 (step @p26 :rule modus_ponens :premises (@p25 @p22)) % 0.28/0.54 (step @p186 :rule arith_sum_ub :premises (@p246 @p26)) % 0.28/0.54 (step @p187 false :rule eq_resolve :premises (@p186 @p185)) % 0.28/0.54 (step-pop @p249 :rule scope :premises (@p187)) % 0.28/0.54 (step @p188 :rule process_scope :premises (@p249) :args (false)) % 0.28/0.54 (step @p190 false :rule contra :premises (@p246 @p188)) % 0.28/0.54 (step-pop @p250 :rule scope :premises (@p190)) % 0.28/0.54 (step-pop @p251 :rule scope :premises (@p250)) % 0.28/0.54 (step @p191 :rule process_scope :premises (@p251) :args (false)) % 0.28/0.54 (assume-push @p252 @t9) % 0.28/0.54 (assume-push @p253 @t39) % 0.28/0.54 (step @p196 :rule and_intro :premises (@p253 @p9)) % 0.28/0.54 (step-pop @p254 :rule scope :premises (@p196)) % 0.28/0.54 (step-pop @p255 :rule scope :premises (@p254)) % 0.28/0.54 (step @p197 :rule process_scope :premises (@p255) :args (@t41)) % 0.28/0.54 (step @p200 :rule implies_elim :premises (@p197)) % 0.28/0.54 (step @p201 :rule resolution :premises (@p200 @p191) :args (true @t41)) % 0.28/0.54 (step @p202 :rule not_and :premises (@p201)) % 0.28/0.54 (step @p203 false :rule chain_m_resolution :premises (@p202 @p176 @p9) :args (false (@list false false) (@list @t39 @t9))) % 0.28/0.54 ) % 0.28/0.54 % SZS output end Proof % 0.28/0.54 % cvc5 exiting %------------------------------------------------------------------------------