%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI574_1 : TPTP v9.2.1. Released v5.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:07:53 AM UTC 2026 % Result : Theorem 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : ARI574_1 : TPTP v9.2.1. Released v5.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.19/0.35 % Computer : n022.cluster.edu % 0.19/0.35 % Model : x86_64 x86_64 % 0.19/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.19/0.35 % Memory : 8042.1875MB % 0.19/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.19/0.35 % CPULimit : 300 % 0.19/0.35 % WCLimit : 300 % 0.19/0.35 % DateTime : Wed Jun 3 02:29:38 EDT 2026 % 0.19/0.35 % CPUTime : % 0.32/0.51 %----Proving TF0_ARI % 0.39/0.58 --- Run --finite-model-find --decision=internal at 45... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (define @t1 () (@var "Y" Int)) % 0.39/0.58 (define @t2 () (@var "X" Int)) % 0.39/0.58 (define @t3 () (and (= @t2 3) (= @t1 4))) % 0.39/0.58 (define @t4 () (* 2 @t1)) % 0.39/0.58 (define @t5 () (+ @t2 5)) % 0.39/0.58 (define @t6 () (<= @t5 @t4)) % 0.39/0.58 (define @t7 () (+ @t2 @t1)) % 0.39/0.58 (define @t8 () (and (<= 7 @t7) @t6 (<= @t1 4))) % 0.39/0.58 (define @t9 () (= @t8 @t3)) % 0.39/0.58 (define @t10 () (@list @t2 @t1)) % 0.39/0.58 (define @t11 () (forall @t10 @t9)) % 0.39/0.58 (define @t12 () (not @t11)) % 0.39/0.58 (define @t13 () (+ @t2 (* -2 @t1))) % 0.39/0.58 (define @t14 () (>= @t13 -4)) % 0.39/0.58 (define @t15 () (and (>= @t7 7) (not @t14) (not (>= @t1 5)))) % 0.39/0.58 (define @t16 () (+ 4 1)) % 0.39/0.58 (define @t17 () (>= @t1 @t16)) % 0.39/0.58 (define @t18 () (+ @t4 1)) % 0.39/0.58 (define @t19 () (+ 5 @t2)) % 0.39/0.58 (define @t20 () (>= @t19 @t18)) % 0.39/0.58 (define @t21 () (forall @t10 (= @t3 @t15))) % 0.39/0.58 (define @t22 () (@quantifiers_skolemize @t21 1)) % 0.39/0.58 (define @t23 () (>= @t22 5)) % 0.39/0.58 (define @t24 () (not @t23)) % 0.39/0.58 (define @t25 () (* -2 @t22)) % 0.39/0.58 (define @t26 () (@quantifiers_skolemize @t21 0)) % 0.39/0.58 (define @t27 () (+ @t26 @t25)) % 0.39/0.58 (define @t28 () (>= @t27 -4)) % 0.39/0.58 (define @t29 () (not @t28)) % 0.39/0.58 (define @t30 () (+ @t26 @t22)) % 0.39/0.58 (define @t31 () (>= @t30 7)) % 0.39/0.58 (define @t32 () (and @t31 @t29 @t24)) % 0.39/0.58 (define @t33 () (= @t22 4)) % 0.39/0.58 (define @t34 () (= @t26 3)) % 0.39/0.58 (define @t35 () (and @t34 @t33)) % 0.39/0.58 (define @t36 () (= @t35 @t32)) % 0.39/0.58 (define @t37 () (not @t35)) % 0.39/0.58 (define @t38 () (<= 0 -1)) % 0.39/0.58 (define @t39 () (* -1 5)) % 0.39/0.58 (define @t40 () (+ @t39 4)) % 0.39/0.58 (define @t41 () (* -1 @t22)) % 0.39/0.58 (define @t42 () (+ @t41 @t22)) % 0.39/0.58 (define @t43 () (< -1 0)) % 0.39/0.58 (define @t44 () (not @t33)) % 0.39/0.58 (define @t45 () (not @t34)) % 0.39/0.58 (define @t46 () (not @t31)) % 0.39/0.58 (define @t47 () (not true)) % 0.39/0.58 (define @t48 () (>= 0 0)) % 0.39/0.58 (define @t49 () (* -1 3)) % 0.39/0.58 (define @t50 () (* -1 4)) % 0.39/0.58 (define @t51 () (+ 7 @t50 @t49)) % 0.39/0.58 (define @t52 () (* -1 @t26)) % 0.39/0.58 (define @t53 () (+ @t52 @t41 @t22 @t26)) % 0.39/0.58 (define @t54 () (+ @t30 @t41 @t52)) % 0.39/0.58 (define @t55 () (>= @t54 @t51)) % 0.39/0.58 (define @t56 () (* -2 4)) % 0.39/0.58 (define @t57 () (* -1 -4)) % 0.39/0.58 (define @t58 () (+ @t57 @t56 3)) % 0.39/0.58 (define @t59 () (* 2 @t22)) % 0.39/0.58 (define @t60 () (+ @t52 @t59)) % 0.39/0.58 (define @t61 () (* -1 @t27)) % 0.39/0.58 (define @t62 () (+ @t61 @t25 @t26)) % 0.39/0.58 (define @t63 () (not @t24)) % 0.39/0.58 (define @t64 () (not @t29)) % 0.39/0.58 (define @t65 () (not @t32)) % 0.39/0.58 (define @t66 () (@list false)) % 0.39/0.58 (define @t67 () (@list @t32)) % 0.39/0.58 (define @t68 () (>= @t26 3)) % 0.39/0.58 (define @t69 () (not @t68)) % 0.39/0.58 (define @t70 () (* -1 7)) % 0.39/0.58 (define @t71 () (+ 3 @t70 4)) % 0.39/0.58 (define @t72 () (+ @t52 @t41)) % 0.39/0.58 (define @t73 () (* -1 @t30)) % 0.39/0.58 (define @t74 () (+ @t26 @t73 @t22)) % 0.39/0.58 (define @t75 () (>= @t74 @t71)) % 0.39/0.58 (define @t76 () (>= @t26 4)) % 0.39/0.58 (define @t77 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(@t8)) % 0.39/0.58 (step @p22 :rule cong :premises (@p21 @p4) :args (@t9)) % 0.39/0.58 (step @p23 :rule trans :premises (@p22 @p3)) % 0.39/0.58 (step @p24 :rule cong :premises (@p23) :args (@t11)) % 0.39/0.58 (step @p25 :rule cong :premises (@p24) :args (@t12)) % 0.39/0.58 (step @p26 :rule eq_resolve :premises (@p1 @p25)) % 0.39/0.58 (step @p27 :rule skolemize :premises (@p26)) % 0.39/0.58 (step @p28 :rule cnf_equiv_neg1 :args (@t36)) % 0.39/0.58 (step @p29 :rule reordering :premises (@p28) :args ((or @t35 @t32 @t36))) % 0.39/0.58 (step @p30 :rule cnf_and_pos :args (@t35 0)) % 0.39/0.58 (step @p31 :rule reordering :premises (@p30) :args ((or @t34 @t37))) % 0.39/0.58 (step @p32 :rule cnf_and_pos :args (@t35 1)) % 0.39/0.58 (step @p33 :rule reordering :premises (@p32) :args ((or @t33 @t37))) % 0.39/0.58 (assume-push @p350 @t33) % 0.39/0.58 (assume-push @p351 @t33) % 0.39/0.58 (step @p36 :rule arith-elim-lt :args (@t22 5)) % 0.39/0.58 (step @p37 :rule symm :premises (@p36)) % 0.39/0.58 (assume-push @p352 @t23) % 0.39/0.58 (step @p39 :rule evaluate :args (@t38)) % 0.39/0.58 (step @p40 :rule evaluate :args ((+ -5 4))) % 0.39/0.58 (step @p41 :rule refl :args (4)) % 0.39/0.58 (step @p42 :rule evaluate :args (@t39)) % 0.39/0.58 (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t40)) % 0.39/0.58 (step @p44 :rule trans :premises (@p43 @p40)) % 0.39/0.58 (step @p45 :rule arith_poly_norm :args ((= @t42 0))) % 0.39/0.58 (step @p46 :rule cong :premises (@p45 @p44) :args ((<= @t42 @t40))) % 0.39/0.58 (step @p47 :rule trans :premises (@p46 @p39)) % 0.39/0.58 (step @p48 :rule arith_mult_neg :args (-1 @t23)) % 0.39/0.58 (step @p49 :rule evaluate :args (@t43)) % 0.39/0.58 (step @p50 :rule true_elim :premises (@p49)) % 0.39/0.58 (step @p51 :rule and_intro :premises (@p50 @p352)) % 0.39/0.58 (step @p52 :rule modus_ponens :premises (@p51 @p48)) % 0.39/0.58 (step @p53 :rule arith_sum_ub :premises (@p52 @p350)) % 0.39/0.58 (step @p54 false :rule eq_resolve :premises (@p53 @p47)) % 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0.39/0.58 (step @p158 :rule chain_m_resolution :premises (@p157 @p149) :args (@t24 @t66 @t67)) % 0.39/0.58 (step @p159 :rule cnf_equiv_neg2 :args (@t36)) % 0.39/0.58 (step @p160 :rule chain_m_resolution :premises (@p159 @p27 @p149) :args (@t37 (@list true false) (@list @t36 @t32))) % 0.39/0.58 (step @p161 :rule cnf_and_neg :args (@t35)) % 0.39/0.58 (step @p162 :rule bool-double-not-elim :args (@t68)) % 0.39/0.58 (step @p163 :rule nary_cong :premises (@p143 @p68 @p162) :args ((or @t46 @t44 (not @t69)))) % 0.39/0.58 (assume-push @p368 @t31) % 0.39/0.58 (assume-push @p369 @t33) % 0.39/0.58 (assume-push @p370 @t69) % 0.39/0.58 (step @p73 :rule evaluate :args (@t47)) % 0.39/0.58 (step @p74 :rule evaluate :args (@t48)) % 0.39/0.58 (step @p167 :rule evaluate :args ((+ 3 -7 4))) % 0.39/0.58 (step @p41 :rule refl :args (4)) % 0.39/0.58 (step @p168 :rule evaluate :args (@t70)) % 0.39/0.58 (step @p112 :rule refl :args (3)) % 0.39/0.58 (step @p169 :rule nary_cong :premises (@p112 @p168 @p41) :args 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% 0.39/0.58 (step @p198 :rule nary_cong :premises (@p142 @p68 @p197) :args ((or @t64 @t44 @t77))) % 0.39/0.58 (assume-push @p374 @t29) % 0.39/0.58 (assume-push @p375 @t33) % 0.39/0.58 (assume-push @p376 @t76) % 0.39/0.58 (step @p39 :rule evaluate :args (@t38)) % 0.39/0.58 (step @p202 :rule evaluate :args ((+ -4 -5 8))) % 0.39/0.58 (step @p203 :rule evaluate :args (@t78)) % 0.39/0.58 (step @p204 :rule refl :args (-5)) % 0.39/0.58 (step @p77 :rule evaluate :args (@t50)) % 0.39/0.58 (step @p205 :rule nary_cong :premises (@p77 @p204 @p203) :args (@t79)) % 0.39/0.58 (step @p206 :rule trans :premises (@p205 @p202)) % 0.39/0.58 (step @p207 :rule arith_poly_norm :args ((= @t80 0))) % 0.39/0.58 (step @p208 :rule arith_poly_norm :args ((= @t81 @t80))) % 0.39/0.58 (step @p209 :rule trans :premises (@p208 @p207)) % 0.39/0.58 (step @p210 :rule cong :premises (@p209 @p206) :args ((<= @t81 @t79))) % 0.39/0.58 (step @p211 :rule trans :premises (@p210 @p39)) % 0.39/0.58 (step @p212 :rule arith_mult_pos 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@p257)) % 0.39/0.58 (step @p259 :rule int_tight_ub :premises (@p258)) % 0.39/0.58 (step @p260 :rule eq_resolve :premises (@p259 @p255)) % 0.39/0.58 (step @p261 :rule arith_trichotomy :premises (@p381 @p382)) % 0.39/0.58 (step @p262 false :rule contra :premises (@p261 @p260)) % 0.39/0.58 (step-pop @p383 :rule scope :premises (@p262)) % 0.39/0.58 (step-pop @p384 :rule scope :premises (@p383)) % 0.39/0.58 (step-pop @p385 :rule scope :premises (@p384)) % 0.39/0.58 (step @p263 :rule process_scope :premises (@p385) :args (false)) % 0.39/0.58 (assume-push @p386 @t45) % 0.39/0.58 (assume-push @p387 @t68) % 0.39/0.58 (assume-push @p388 @t77) % 0.39/0.58 (step @p270 :rule and_intro :premises (@p388 @p386 @p387)) % 0.39/0.58 (step-pop @p389 :rule scope :premises (@p270)) % 0.39/0.58 (step-pop @p390 :rule scope :premises (@p389)) % 0.39/0.58 (step-pop @p391 :rule scope :premises (@p390)) % 0.39/0.58 (step @p271 :rule process_scope :premises (@p391) :args (@t84)) % 0.39/0.58 (step @p275 :rule 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(step @p316 :rule true_elim :premises (@p315)) % 0.39/0.58 (step @p317 :rule and_intro :premises (@p316 @p314)) % 0.39/0.58 (step @p318 :rule modus_ponens :premises (@p317 @p310)) % 0.39/0.58 (step @p182 :rule arith_mult_neg :args (-1 @t31)) % 0.39/0.58 (step @p49 :rule evaluate :args (@t43)) % 0.39/0.58 (step @p50 :rule true_elim :premises (@p49)) % 0.39/0.58 (step @p319 :rule and_intro :premises (@p50 @p394)) % 0.39/0.59 (step @p320 :rule modus_ponens :premises (@p319 @p182)) % 0.39/0.59 (step @p321 :rule arith_sum_ub :premises (@p396 @p320 @p318)) % 0.39/0.59 (step @p322 false :rule eq_resolve :premises (@p321 @p309)) % 0.39/0.59 (step-pop @p397 :rule scope :premises (@p322)) % 0.39/0.59 (step @p323 :rule process_scope :premises (@p397) :args (false)) % 0.39/0.59 (step @p325 :rule eq_resolve :premises (@p323 @p287)) % 0.39/0.59 (step @p326 :rule eq_resolve :premises (@p325 @p288)) % 0.39/0.59 (step @p218 :rule symm :premises (@p217)) % 0.39/0.59 (step @p327 :rule eq_resolve :premises (@p395 @p218)) % 0.39/0.59 (step @p328 false :rule contra :premises (@p327 @p326)) % 0.39/0.59 (step-pop @p398 :rule scope :premises (@p328)) % 0.39/0.59 (step-pop @p399 :rule scope :premises (@p398)) % 0.39/0.59 (step-pop @p400 :rule scope :premises (@p399)) % 0.39/0.59 (step-pop @p401 :rule scope :premises (@p400)) % 0.39/0.59 (step @p329 :rule process_scope :premises (@p401) :args (false)) % 0.39/0.59 (assume-push @p402 @t31) % 0.39/0.59 (assume-push @p403 @t29) % 0.39/0.59 (assume-push @p404 @t24) % 0.39/0.59 (assume-push @p405 @t44) % 0.39/0.59 (step @p338 :rule and_intro :premises (@p404 @p405 @p402 @p403)) % 0.39/0.59 (step-pop @p406 :rule scope :premises (@p338)) % 0.39/0.59 (step-pop @p407 :rule scope :premises (@p406)) % 0.39/0.59 (step-pop @p408 :rule scope :premises (@p407)) % 0.39/0.59 (step-pop @p409 :rule scope :premises (@p408)) % 0.39/0.59 (step @p339 :rule process_scope :premises (@p409) :args (@t93)) % 0.39/0.59 (step @p344 :rule implies_elim :premises (@p339)) % 0.39/0.59 (step @p345 :rule resolution :premises (@p344 @p329) :args (true @t93)) % 0.39/0.59 (step @p346 :rule not_and :premises (@p345)) % 0.39/0.59 (step @p347 :rule eq_resolve :premises (@p346 @p281)) % 0.39/0.59 (step @p348 :rule reordering :premises (@p347) :args ((or @t33 @t28 @t23 @t46))) % 0.39/0.59 (step @p349 false :rule chain_m_resolution :premises (@p348 @p279 @p158 @p155 @p152) :args (false (@list true true true false) (@list @t33 @t23 @t28 @t31))) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------