%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI727_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 : n018.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 0.40s 0.59s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ARI727_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 : n018.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 02:32:20 EDT 2026 % 0.18/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_ARI % 0.40/0.59 --- Run --finite-model-find --decision=internal at 45... % 0.40/0.59 % SZS status Theorem % 0.40/0.59 % SZS output start Proof % 0.40/0.59 ( % 0.40/0.59 (define @t1 () (/ 16 5)) % 0.40/0.59 (define @t2 () (@var "X" Real)) % 0.40/0.59 (define @t3 () (/ 19 5)) % 0.40/0.59 (define @t4 () (or (> @t2 @t3) (< @t2 @t1))) % 0.40/0.59 (define @t5 () (is_int @t2)) % 0.40/0.59 (define @t6 () (=> @t5 @t4)) % 0.40/0.59 (define @t7 () (@list @t2)) % 0.40/0.59 (define @t8 () (forall @t7 @t6)) % 0.40/0.59 (define @t9 () (not @t8)) % 0.40/0.59 (define @t10 () (not (>= @t2 16/5))) % 0.40/0.59 (define @t11 () (* -1/1 @t2)) % 0.40/0.59 (define @t12 () (>= @t11 -19/5)) % 0.40/0.59 (define @t13 () (not @t12)) % 0.40/0.59 (define @t14 () (not @t5)) % 0.40/0.59 (define @t15 () (or @t14 @t13 @t10)) % 0.40/0.59 (define @t16 () (or @t13 @t10)) % 0.40/0.59 (define @t17 () (>= @t2 @t1)) % 0.40/0.59 (define @t18 () (<= @t2 @t3)) % 0.40/0.59 (define @t19 () (forall @t7 @t15)) % 0.40/0.59 (define @t20 () (@quantifiers_skolemize @t19 0)) % 0.40/0.59 (define @t21 () (>= @t20 16/5)) % 0.40/0.59 (define @t22 () (not @t21)) % 0.40/0.59 (define @t23 () (* -1/1 @t20)) % 0.40/0.59 (define @t24 () (>= @t23 -19/5)) % 0.40/0.59 (define @t25 () (not @t24)) % 0.40/0.59 (define @t26 () (@purify (to_int @t20))) % 0.40/0.59 (define @t27 () (to_real @t26)) % 0.40/0.59 (define @t28 () (= @t20 @t27)) % 0.40/0.59 (define @t29 () (not @t28)) % 0.40/0.59 (define @t30 () (or @t29 @t25 @t22)) % 0.40/0.59 (define @t31 () (not @t30)) % 0.40/0.59 (define @t32 () (not @t19)) % 0.40/0.59 (define @t33 () (is_int @t20)) % 0.40/0.59 (define @t34 () (not @t33)) % 0.40/0.59 (define @t35 () (or @t34 @t25 @t22)) % 0.40/0.59 (define @t36 () (not @t35)) % 0.40/0.59 (define @t37 () (@list true)) % 0.40/0.59 (define @t38 () (@list @t30)) % 0.40/0.59 (define @t39 () (= @t26 3)) % 0.40/0.59 (define @t40 () (<= 0/1 -1/5)) % 0.40/0.59 (define @t41 () (* -1/1 16/5)) % 0.40/0.59 (define @t42 () (+ 3/1 0/1 @t41)) % 0.40/0.59 (define @t43 () (* -1 @t26)) % 0.40/0.59 (define @t44 () (to_real @t43)) % 0.40/0.59 (define @t45 () (+ @t23 @t44 @t27 @t20)) % 0.40/0.59 (define @t46 () (= @t45 0/1)) % 0.40/0.59 (define @t47 () (+ @t20 @t44)) % 0.40/0.59 (define @t48 () (+ @t27 @t47 @t23)) % 0.40/0.59 (define @t49 () (= @t48 @t45)) % 0.40/0.59 (define @t50 () (< -1/1 0/1)) % 0.40/0.59 (define @t51 () (- @t20 @t27)) % 0.40/0.59 (define @t52 () (= (* 1/1 (- @t47 0/1)) (* 1/1 @t51))) % 0.40/0.59 (define @t53 () (= @t47 0/1)) % 0.40/0.59 (define @t54 () (= @t53 @t28)) % 0.40/0.59 (define @t55 () (not @t39)) % 0.40/0.59 (define @t56 () (* -1/1 @t27)) % 0.40/0.59 (define @t57 () (+ @t20 @t56)) % 0.40/0.59 (define @t58 () (>= @t51 1/1)) % 0.40/0.59 (define @t59 () (<= 0/1 @t51)) % 0.40/0.59 (define @t60 () (>= @t26 3)) % 0.40/0.59 (define @t61 () (>= @t47 1/1)) % 0.40/0.59 (define @t62 () (not @t60)) % 0.40/0.59 (define @t63 () (not @t61)) % 0.40/0.59 (define @t64 () (+ 2 1)) % 0.40/0.59 (define @t65 () (>= @t26 @t64)) % 0.40/0.59 (define @t66 () (<= @t26 2)) % 0.40/0.59 (define @t67 () (+ 2/1 1/1 @t41)) % 0.40/0.59 (define @t68 () (>= @t48 @t67)) % 0.40/0.59 (define @t69 () (to_real 2)) % 0.40/0.59 (define @t70 () (<= @t27 @t69)) % 0.40/0.59 (define @t71 () (@list false true)) % 0.40/0.59 (define @t72 () (>= @t26 4)) % 0.40/0.59 (define @t73 () (+ 3 1)) % 0.40/0.59 (define @t74 () (>= @t26 @t73)) % 0.40/0.59 (define @t75 () (> @t26 3)) % 0.40/0.59 (define @t76 () (< @t26 3)) % 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:rule nary_cong :premises (@p55 @p54) :args ((or @t30 (not @t29)))) % 0.40/0.59 (step @p57 :rule cnf_or_neg :args (@t30 0)) % 0.40/0.59 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.40/0.59 (step @p59 :rule reordering :premises (@p58) :args ((or @t28 @t30))) % 0.40/0.59 (step @p60 :rule chain_m_resolution :premises (@p59 @p53) :args (@t28 @t37 @t38)) % 0.40/0.59 (step @p61 :rule bool-double-not-elim :args (@t24)) % 0.40/0.59 (step @p62 :rule nary_cong :premises (@p55 @p61) :args ((or @t30 (not @t25)))) % 0.40/0.59 (step @p63 :rule cnf_or_neg :args (@t30 1)) % 0.40/0.59 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.40/0.59 (step @p65 :rule reordering :premises (@p64) :args ((or @t24 @t30))) % 0.40/0.59 (step @p66 :rule chain_m_resolution :premises (@p65 @p53) :args (@t24 @t37 @t38)) % 0.40/0.59 (step @p67 :rule bool-double-not-elim :args (@t21)) % 0.40/0.59 (step @p68 :rule nary_cong :premises (@p55 @p67) :args ((or @t30 (not @t22)))) % 0.40/0.59 (step @p69 :rule 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@p131 :rule nary_cong :premises (@p37 @p130 @p129) :args ((or @t22 (not @t63) (not @t62)))) % 0.40/0.59 (assume-push @p309 @t21) % 0.40/0.59 (assume-push @p310 @t63) % 0.40/0.59 (assume-push @p311 @t62) % 0.40/0.59 (step @p135 :rule arith-elim-leq :args (@t26 2)) % 0.40/0.59 (step @p136 :rule symm :premises (@p135)) % 0.40/0.59 (step @p137 :rule cong :premises (@p136) :args ((not (>= 2 @t26)))) % 0.40/0.59 (step @p138 :rule arith-elim-gt :args (@t26 2)) % 0.40/0.59 (step @p139 :rule trans :premises (@p138 @p137)) % 0.40/0.59 (step @p140 :rule evaluate :args (@t64)) % 0.40/0.59 (step @p141 :rule refl :args (@t26)) % 0.40/0.59 (step @p142 :rule cong :premises (@p141 @p140) :args (@t65)) % 0.40/0.59 (step @p143 :rule cong :premises (@p142) :args ((not @t65))) % 0.40/0.59 (step @p144 :rule arith-leq-norm :args (@t26 2)) % 0.40/0.59 (step @p145 :rule trans :premises (@p144 @p143)) % 0.40/0.59 (step @p146 :rule cong :premises (@p145) :args ((not @t66))) % 0.40/0.59 (step @p147 :rule trans 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@t69))))) % 0.40/0.59 (step @p171 :rule arith_poly_norm_rel :premises (@p170) :args ((= @t66 @t70))) % 0.40/0.59 (step @p172 :rule trans :premises (@p171 @p169)) % 0.40/0.59 (step @p173 :rule eq_resolve :premises (@p312 @p172)) % 0.40/0.59 (step @p174 :rule arith_sum_ub :premises (@p173 @p166 @p93)) % 0.40/0.59 (step @p175 false :rule eq_resolve :premises (@p174 @p163)) % 0.40/0.59 (step-pop @p313 :rule scope :premises (@p175)) % 0.40/0.59 (step @p176 :rule process_scope :premises (@p313) :args (false)) % 0.40/0.59 (step @p178 :rule eq_resolve :premises (@p176 @p150)) % 0.40/0.59 (step @p179 :rule eq_resolve :premises (@p178 @p139)) % 0.40/0.59 (step @p180 :rule arith-elim-lt :args (@t26 3)) % 0.40/0.59 (step @p181 :rule symm :premises (@p180)) % 0.40/0.59 (step @p182 :rule eq_resolve :premises (@p311 @p181)) % 0.40/0.59 (step @p183 :rule int_tight_ub :premises (@p182)) % 0.40/0.59 (step @p184 false :rule contra :premises (@p183 @p179)) % 0.40/0.59 (step-pop @p314 :rule scope :premises 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:args ((or (not @t55) (not @t78) (not @t77)))) % 0.40/0.59 (step @p214 :rule trans :premises (@p213 @p193)) % 0.40/0.59 (assume-push @p317 @t55) % 0.40/0.59 (assume-push @p318 @t78) % 0.40/0.59 (assume-push @p319 @t77) % 0.40/0.59 (step @p218 :rule arith_trichotomy :premises (@p318 @p317)) % 0.40/0.59 (step @p219 false :rule contra :premises (@p218 @p319)) % 0.40/0.59 (step-pop @p320 :rule scope :premises (@p219)) % 0.40/0.59 (step-pop @p321 :rule scope :premises (@p320)) % 0.40/0.59 (step-pop @p322 :rule scope :premises (@p321)) % 0.40/0.59 (step @p220 :rule process_scope :premises (@p322) :args (false)) % 0.40/0.59 (step @p224 :rule not_and :premises (@p220)) % 0.40/0.59 (step @p225 :rule eq_resolve :premises (@p224 @p214)) % 0.40/0.59 (step @p226 :rule eq_resolve :premises (@p225 @p192)) % 0.40/0.59 (step @p227 :rule reordering :premises (@p226) :args ((or @t62 @t72 @t39))) % 0.40/0.59 (step @p228 :rule chain_m_resolution :premises (@p227 @p191 @p111) :args (@t72 @t71 (@list @t60 @t39))) % 0.40/0.59 (assume-push @p323 @t28) % 0.40/0.59 (assume-push @p324 @t72) % 0.40/0.59 (assume-push @p325 @t24) % 0.40/0.59 (step @p232 :rule arith-elim-leq :args (@t20 19/5)) % 0.40/0.59 (step @p233 :rule symm :premises (@p232)) % 0.40/0.59 (step @p234 :rule cong :premises (@p233) :args ((not @t79))) % 0.40/0.59 (step @p235 :rule arith-elim-gt :args (@t20 19/5)) % 0.40/0.59 (step @p236 :rule trans :premises (@p235 @p234)) % 0.40/0.59 (step @p237 :rule arith_poly_norm :args ((= (* 19/5 (- 19/5 @t20)) (* 19/5 (- @t23 -19/5))))) % 0.40/0.59 (step @p238 :rule arith_poly_norm_rel :premises (@p237) :args ((= @t79 @t24))) % 0.40/0.59 (step @p239 :rule trans :premises (@p232 @p238)) % 0.40/0.59 (step @p240 :rule cong :premises (@p239) :args ((not @t80))) % 0.40/0.59 (step @p241 :rule trans :premises (@p236 @p240)) % 0.40/0.59 (step @p242 :rule symm :premises (@p241)) % 0.40/0.59 (step @p243 :rule trans :premises (@p240 @p242)) % 0.40/0.59 (assume-push @p326 @t80) % 0.40/0.59 (step @p77 :rule evaluate :args (@t40)) % 0.40/0.59 (step @p245 :rule evaluate :args ((+ 19/5 -4/1 0/1))) % 0.40/0.59 (step @p246 :rule evaluate :args (@t81)) % 0.40/0.59 (step @p247 :rule evaluate :args ((to_real -4))) % 0.40/0.59 (step @p248 :rule evaluate :args (@t82)) % 0.40/0.59 (step @p249 :rule cong :premises (@p248) :args (@t83)) % 0.40/0.59 (step @p250 :rule trans :premises (@p249 @p247)) % 0.40/0.59 (step @p251 :rule refl :args (19/5)) % 0.40/0.59 (step @p252 :rule nary_cong :premises (@p251 @p250 @p246) :args (@t84)) % 0.40/0.59 (step @p253 :rule trans :premises (@p252 @p245)) % 0.40/0.59 (step @p254 :rule arith_poly_norm :args ((= (+ @t20 @t44 @t85) 0/1))) % 0.40/0.59 (step @p255 :rule arith_poly_norm :args ((= @t86 @t85))) % 0.40/0.59 (step @p256 :rule refl :args (@t44)) % 0.40/0.59 (step @p257 :rule nary_cong :premises (@p114 @p256 @p255) :args (@t87)) % 0.40/0.59 (step @p258 :rule trans :premises (@p257 @p254)) % 0.40/0.59 (step @p259 :rule cong :premises (@p258 @p253) :args ((<= @t87 @t84))) % 0.40/0.59 (step @p260 :rule trans :premises (@p259 @p77)) % 0.40/0.59 (step @p261 :rule arith_mult_neg :args (-1/1 @t53)) % 0.40/0.59 (step @p94 :rule arith_poly_norm :args (@t52)) % 0.40/0.59 (step @p95 :rule arith_poly_norm_rel :premises (@p94) :args (@t54)) % 0.40/0.59 (step @p96 :rule symm :premises (@p95)) % 0.40/0.59 (step @p97 :rule eq_resolve :premises (@p60 @p96)) % 0.40/0.59 (step @p90 :rule evaluate :args (@t50)) % 0.40/0.59 (step @p91 :rule true_elim :premises (@p90)) % 0.40/0.59 (step @p262 :rule and_intro :premises (@p91 @p97)) % 0.40/0.59 (step @p263 :rule modus_ponens :premises (@p262 @p261)) % 0.40/0.59 (step @p264 :rule arith_poly_norm :args ((= (* 4/1 (to_real (- @t43 @t82))) (* 4/1 (- @t44 @t83))))) % 0.40/0.59 (step @p265 :rule arith_poly_norm_rel :premises (@p264) :args ((= (<= @t43 @t82) (<= @t44 @t83)))) % 0.40/0.59 (step @p266 :rule arith_mult_neg :args (-1 @t72)) % 0.40/0.59 (step @p267 :rule evaluate :args ((< -1 0))) % 0.40/0.59 (step @p268 :rule true_elim :premises (@p267)) % 0.40/0.59 (step @p269 :rule and_intro :premises (@p268 @p324)) % 0.40/0.59 (step @p270 :rule modus_ponens :premises (@p269 @p266)) % 0.40/0.59 (step @p271 :rule eq_resolve :premises (@p270 @p265)) % 0.40/0.59 (step @p272 :rule symm :premises (@p239)) % 0.40/0.59 (step @p273 :rule chain_m_resolution :premises (@p65 @p53) :args (@t24 @t37 @t38)) % 0.40/0.59 (step @p274 :rule eq_resolve :premises (@p273 @p272)) % 0.40/0.59 (step @p275 :rule arith_sum_ub :premises (@p274 @p271 @p263)) % 0.40/0.59 (step @p276 false :rule eq_resolve :premises (@p275 @p260)) % 0.40/0.59 (step-pop @p327 :rule scope :premises (@p276)) % 0.40/0.59 (step @p277 :rule process_scope :premises (@p327) :args (false)) % 0.40/0.59 (step @p279 :rule eq_resolve :premises (@p277 @p243)) % 0.40/0.59 (step @p280 :rule eq_resolve :premises (@p279 @p236)) % 0.40/0.59 (step @p272 :rule symm :premises (@p239)) % 0.40/0.59 (step @p281 :rule eq_resolve :premises (@p66 @p272)) % 0.40/0.59 (step @p282 false :rule contra :premises (@p281 @p280)) % 0.40/0.59 (step-pop @p328 :rule scope :premises (@p282)) % 0.40/0.59 (step-pop @p329 :rule scope :premises (@p328)) % 0.40/0.59 (step-pop @p330 :rule scope :premises (@p329)) % 0.40/0.59 (step @p283 :rule process_scope :premises (@p330) :args (false)) % 0.40/0.59 (assume-push @p331 @t24) % 0.40/0.59 (assume-push @p332 @t28) % 0.40/0.59 (assume-push @p333 @t72) % 0.40/0.59 (step @p290 :rule and_intro :premises (@p60 @p333 @p66)) % 0.40/0.59 (step-pop @p334 :rule scope :premises (@p290)) % 0.40/0.59 (step-pop @p335 :rule scope :premises (@p334)) % 0.40/0.59 (step-pop @p336 :rule scope :premises (@p335)) % 0.40/0.59 (step @p291 :rule process_scope :premises (@p336) :args (@t88)) % 0.40/0.59 (step @p295 :rule implies_elim :premises (@p291)) % 0.40/0.59 (step @p296 :rule resolution :premises (@p295 @p283) :args (true @t88)) % 0.40/0.59 (step @p297 :rule not_and :premises (@p296)) % 0.40/0.59 (step @p298 false :rule chain_m_resolution :premises (@p297 @p228 @p66 @p60) :args (false (@list false false false) (@list @t72 @t24 @t28))) % 0.40/0.59 ) % 0.40/0.59 % SZS output end Proof % 0.40/0.59 % cvc5 exiting %------------------------------------------------------------------------------