%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI658_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 : n009.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 08:08:04 AM UTC 2026 % Result : Theorem 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : ARI658_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 % 0.19/0.35 % Computer : n009.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 02:31:29 EDT 2026 % 0.19/0.35 % CPUTime : % 0.28/0.51 %----Proving TF0_ARI % 0.38/0.60 --- Run --finite-model-find --decision=internal at 45... % 0.38/0.60 % SZS status Theorem % 0.38/0.60 % SZS output start Proof % 0.38/0.60 ( % 0.38/0.60 (declare-const tptp.a Int) % 0.38/0.60 (define @t1 () (- 1)) % 0.38/0.60 (define @t2 () (>= tptp.a @t1)) % 0.38/0.60 (define @t3 () (and (<= tptp.a 1) @t2)) % 0.38/0.60 (define @t4 () (* tptp.a tptp.a)) % 0.38/0.60 (define @t5 () (>= 3 @t4)) % 0.38/0.60 (define @t6 () (= @t5 @t3)) % 0.38/0.60 (define @t7 () (not @t6)) % 0.38/0.60 (define @t8 () (>= tptp.a -1)) % 0.38/0.60 (define @t9 () (>= tptp.a 2)) % 0.38/0.60 (define @t10 () (not @t9)) % 0.38/0.60 (define @t11 () (and @t10 @t8)) % 0.38/0.60 (define @t12 () (not @t11)) % 0.38/0.60 (define @t13 () (* tptp.a tptp.a)) % 0.38/0.60 (define @t14 () (>= @t13 4)) % 0.38/0.60 (define @t15 () (not @t14)) % 0.38/0.60 (define @t16 () (not @t15)) % 0.38/0.60 (define @t17 () (+ 1 1)) % 0.38/0.60 (define @t18 () (>= tptp.a @t17)) % 0.38/0.60 (define @t19 () (+ @t13 1)) % 0.38/0.60 (define @t20 () (>= 3 @t13)) % 0.38/0.60 (define @t21 () (>= tptp.a -2)) % 0.38/0.60 (define @t22 () (not @t8)) % 0.38/0.60 (define @t23 () (or @t22 @t21)) % 0.38/0.60 (define @t24 () (not @t22)) % 0.38/0.60 (define @t25 () (and @t21 @t21)) % 0.38/0.60 (define @t26 () (+ -2 1)) % 0.38/0.60 (define @t27 () (>= tptp.a @t26)) % 0.38/0.60 (define @t28 () (<= tptp.a -2)) % 0.38/0.60 (define @t29 () (and @t28 @t28)) % 0.38/0.60 (define @t30 () (or @t29 @t25)) % 0.38/0.60 (define @t31 () (* 4 tptp.a)) % 0.38/0.60 (define @t32 () (+ @t31 @t13)) % 0.38/0.60 (define @t33 () (* -4 tptp.a)) % 0.38/0.60 (define @t34 () (+ -4 @t33)) % 0.38/0.60 (define @t35 () (>= @t32 -4)) % 0.38/0.60 (define @t36 () (* -2 -2)) % 0.38/0.60 (define @t37 () (* -1 @t36)) % 0.38/0.60 (define @t38 () (* -2 tptp.a)) % 0.38/0.60 (define @t39 () (+ @t38 @t38)) % 0.38/0.60 (define @t40 () (+ @t39 @t37)) % 0.38/0.60 (define @t41 () (- @t39 @t36)) % 0.38/0.60 (define @t42 () (>= @t13 @t41)) % 0.38/0.60 (define @t43 () (not @t35)) % 0.38/0.60 (define @t44 () (< @t13 4)) % 0.38/0.60 (define @t45 () (not true)) % 0.38/0.60 (define @t46 () (>= 0 0)) % 0.38/0.60 (define @t47 () (* 4 -2)) % 0.38/0.60 (define @t48 () (* -1 -4)) % 0.38/0.60 (define @t49 () (+ 4 @t48 @t47)) % 0.38/0.60 (define @t50 () (* -1 @t13)) % 0.38/0.60 (define @t51 () (+ @t33 @t50)) % 0.38/0.60 (define @t52 () (* -1 @t32)) % 0.38/0.60 (define @t53 () (+ @t13 @t52 @t31)) % 0.38/0.60 (define @t54 () (>= @t53 @t49)) % 0.38/0.60 (define @t55 () (< -1 0)) % 0.38/0.60 (define @t56 () (and @t22 @t35 @t15)) % 0.38/0.60 (define @t57 () (@list false false)) % 0.38/0.60 (define @t58 () (not @t10)) % 0.38/0.60 (define @t59 () (>= tptp.a 0)) % 0.38/0.60 (define @t60 () (< tptp.a 0)) % 0.38/0.60 (define @t61 () (+ 0 -2)) % 0.38/0.60 (define @t62 () (* -1 2)) % 0.38/0.60 (define @t63 () (+ 0 @t62)) % 0.38/0.60 (define @t64 () (+ tptp.a (* -1 tptp.a))) % 0.38/0.60 (define @t65 () (= @t64 0)) % 0.38/0.60 (define @t66 () (>= @t64 @t63)) % 0.38/0.60 (define @t67 () (= tptp.a 0)) % 0.38/0.60 (define @t68 () (not @t67)) % 0.38/0.60 (define @t69 () (>= tptp.a 1)) % 0.38/0.60 (define @t70 () (not @t59)) % 0.38/0.60 (define @t71 () (not @t69)) % 0.38/0.60 (define @t72 () (not @t71)) % 0.38/0.60 (define @t73 () (and @t59 @t68 @t71)) % 0.38/0.60 (define @t74 () (and @t69 @t9)) % 0.38/0.60 (define @t75 () (* 2 tptp.a)) % 0.38/0.60 (define @t76 () (+ @t75 @t50)) % 0.38/0.60 (define @t77 () (+ @t76 1)) % 0.38/0.60 (define @t78 () (* -1 -2)) % 0.38/0.60 (define @t79 () (* tptp.a @t78)) % 0.38/0.60 (define @t80 () (>= @t4 @t79)) % 0.38/0.60 (define @t81 () (+ 0 1)) % 0.38/0.60 (define @t82 () (>= tptp.a @t81)) % 0.38/0.60 (define @t83 () (> tptp.a 0)) % 0.38/0.60 (define @t84 () (and @t83 @t9)) % 0.38/0.60 (define @t85 () (>= tptp.a @t78)) % 0.38/0.60 (define @t86 () (and @t83 @t85)) % 0.38/0.60 (define @t87 () (>= @t76 1)) % 0.38/0.60 (define @t88 () (not @t87)) % 0.38/0.60 (define @t89 () (+ 3 1)) % 0.38/0.60 (define @t90 () (>= @t13 @t89)) % 0.38/0.60 (define @t91 () (<= @t13 3)) % 0.38/0.60 (define @t92 () (* -2 2)) % 0.38/0.60 (define @t93 () (+ 3 1 @t92)) % 0.38/0.60 (define @t94 () (+ @t38 @t75 @t50 @t13)) % 0.38/0.60 (define @t95 () (+ @t13 @t76 @t38)) % 0.38/0.60 (define @t96 () (>= @t95 @t93)) % 0.38/0.60 (define @t97 () (and @t9 @t88 @t15)) % 0.38/0.60 (define @t98 () (= @t13 1)) % 0.38/0.60 (define @t99 () (* -1 4)) % 0.38/0.60 (define @t100 () (+ 1 @t99)) % 0.38/0.60 (define @t101 () (+ @t13 @t50)) % 0.38/0.60 (define @t102 () (= @t101 0)) % 0.38/0.60 (define @t103 () (and @t98 @t14)) % 0.38/0.60 (define @t104 () (@list false)) % 0.38/0.60 (define @t105 () (@list @t14)) % 0.38/0.60 (define @t106 () (= tptp.a -1)) % 0.38/0.60 (define @t107 () (= 1 1)) % 0.38/0.60 (define @t108 () (* -1 -1)) % 0.38/0.60 (define @t109 () (not @t106)) % 0.38/0.60 (define @t110 () (@list true)) % 0.38/0.60 (define @t111 () (@list @t98)) % 0.38/0.60 (define @t112 () (= tptp.a 1)) % 0.38/0.60 (define @t113 () (* 1 1)) % 0.38/0.60 (define @t114 () (not @t112)) % 0.38/0.60 (define @t115 () (@list @t11)) % 0.38/0.60 (define @t116 () (and @t114 @t10 @t69)) % 0.38/0.60 (define @t117 () (and @t8 @t71 @t109)) % 0.38/0.60 (define @t118 () (* 0 0)) % 0.38/0.60 (define @t119 () (= @t13 0)) % 0.38/0.60 (define @t120 () (+ 0 @t99)) % 0.38/0.60 (define @t121 () (and @t119 @t14)) % 0.38/0.60 (assume @p1 @t7) % 0.38/0.60 (assume @p2 true) % 0.38/0.60 (step @p3 :rule refl :args (@t12)) % 0.38/0.60 (step @p4 :rule bool-double-not-elim :args (@t14)) % 0.38/0.60 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t16 @t12))) % 0.38/0.60 (step @p6 :rule evaluate :args (@t1)) % 0.38/0.60 (step @p7 :rule refl :args (tptp.a)) % 0.38/0.60 (step @p8 :rule cong :premises (@p7 @p6) :args (@t2)) % 0.38/0.60 (step @p9 :rule evaluate :args (@t17)) % 0.38/0.60 (step @p10 :rule refl :args (tptp.a)) % 0.38/0.60 (step @p11 :rule cong :premises (@p10 @p9) :args (@t18)) % 0.38/0.60 (step @p12 :rule cong :premises (@p11) :args ((not @t18))) % 0.38/0.60 (step @p13 :rule arith-leq-norm :args (tptp.a 1)) % 0.38/0.60 (step @p14 :rule trans :premises (@p13 @p12)) % 0.38/0.60 (step @p15 :rule nary_cong :premises (@p14 @p8) :args (@t3)) % 0.38/0.60 (step @p16 :rule arith_poly_norm :args ((= (* 3 (- 4 @t19)) (* 3 (- 3 @t13))))) % 0.38/0.60 (step @p17 :rule arith_poly_norm_rel :premises (@p16) :args ((= (>= 4 @t19) @t20))) % 0.38/0.60 (step @p18 :rule arith-geq-tighten :args (@t13 4)) % 0.38/0.60 (step @p19 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scope :premises (@p511)) % 0.38/0.60 (step @p113 :rule process_scope :premises (@p512) :args (false)) % 0.38/0.60 (assume-push @p513 @t15) % 0.38/0.60 (assume-push @p514 @t22) % 0.38/0.60 (assume-push @p515 @t35) % 0.38/0.60 (step @p120 :rule and_intro :premises (@p514 @p515 @p513)) % 0.38/0.60 (step-pop @p516 :rule scope :premises (@p120)) % 0.38/0.60 (step-pop @p517 :rule scope :premises (@p516)) % 0.38/0.60 (step-pop @p518 :rule scope :premises (@p517)) % 0.38/0.60 (step @p121 :rule process_scope :premises (@p518) :args (@t56)) % 0.38/0.60 (step @p125 :rule implies_elim :premises (@p121)) % 0.38/0.60 (step @p126 :rule resolution :premises (@p125 @p113) :args (true @t56)) % 0.38/0.60 (step @p127 :rule not_and :premises (@p126)) % 0.38/0.60 (step @p128 :rule eq_resolve :premises (@p127 @p62)) % 0.38/0.60 (step @p129 :rule chain_m_resolution :premises (@p128 @p60 @p35) :args ((or @t14 @t8) @t57 (@list @t35 @t23))) % 0.38/0.60 (step @p130 :rule refl :args (@t22)) % 0.38/0.60 (step @p131 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:rule chain_m_resolution :premises (@p391 @p331) :args (@t11 @t104 @t105)) % 0.38/0.61 (step @p393 :rule cnf_and_pos :args (@t11 0)) % 0.38/0.61 (step @p394 :rule reordering :premises (@p393) :args ((or @t10 @t12))) % 0.38/0.61 (step @p395 :rule chain_m_resolution :premises (@p394 @p392) :args (@t10 @t104 @t115)) % 0.38/0.61 (step @p396 :rule bool-double-not-elim :args (@t112)) % 0.38/0.61 (step @p397 :rule refl :args (@t71)) % 0.38/0.61 (step @p398 :rule nary_cong :premises (@p131 @p397 @p396) :args ((or @t58 @t71 (not @t114)))) % 0.38/0.61 (assume-push @p571 @t114) % 0.38/0.61 (assume-push @p572 @t10) % 0.38/0.61 (assume-push @p573 @t69) % 0.38/0.61 (step @p402 :rule arith-elim-lt :args (tptp.a 2)) % 0.38/0.61 (step @p403 :rule symm :premises (@p402)) % 0.38/0.61 (step @p404 :rule eq_resolve :premises (@p572 @p403)) % 0.38/0.61 (step @p405 :rule int_tight_ub :premises (@p404)) % 0.38/0.61 (step @p406 :rule arith_trichotomy :premises (@p405 @p573)) % 0.38/0.61 (step @p407 false :rule contra :premises (@p406 @p571)) % 0.38/0.61 (step-pop @p574 :rule scope :premises (@p407)) % 0.38/0.61 (step-pop @p575 :rule scope :premises (@p574)) % 0.38/0.61 (step-pop @p576 :rule scope :premises (@p575)) % 0.38/0.61 (step @p408 :rule process_scope :premises (@p576) :args (false)) % 0.38/0.61 (assume-push @p577 @t10) % 0.38/0.61 (assume-push @p578 @t69) % 0.38/0.61 (assume-push @p579 @t114) % 0.38/0.61 (step @p415 :rule and_intro :premises (@p579 @p577 @p578)) % 0.38/0.61 (step-pop @p580 :rule scope :premises (@p415)) % 0.38/0.61 (step-pop @p581 :rule scope :premises (@p580)) % 0.38/0.61 (step-pop @p582 :rule scope :premises (@p581)) % 0.38/0.61 (step @p416 :rule process_scope :premises (@p582) :args (@t116)) % 0.38/0.61 (step @p420 :rule implies_elim :premises (@p416)) % 0.38/0.61 (step @p421 :rule resolution :premises (@p420 @p408) :args (true @t116)) % 0.38/0.61 (step @p422 :rule not_and :premises (@p421)) % 0.38/0.61 (step @p423 :rule eq_resolve :premises (@p422 @p398)) % 0.38/0.61 (step @p424 :rule chain_m_resolution :premises (@p423 @p395 @p390) :args (@t71 (@list true true) (@list @t9 @t112))) % 0.38/0.61 (step @p425 :rule cnf_and_pos :args (@t11 1)) % 0.38/0.61 (step @p426 :rule reordering :premises (@p425) :args ((or @t8 @t12))) % 0.38/0.61 (step @p427 :rule chain_m_resolution :premises (@p426 @p392) :args (@t8 @t104 @t115)) % 0.38/0.61 (step @p428 :rule refl :args (@t67)) % 0.38/0.61 (step @p429 :rule bool-double-not-elim :args (@t106)) % 0.38/0.61 (step @p430 :rule nary_cong :premises (@p130 @p189 @p429 @p428) :args ((or @t22 @t72 (not @t109) @t67))) % 0.38/0.61 (assume-push @p583 @t8) % 0.38/0.61 (assume-push @p584 @t71) % 0.38/0.61 (assume-push @p585 @t109) % 0.38/0.61 (assume-push @p586 @t71) % 0.38/0.61 (assume-push @p587 @t59) % 0.38/0.61 (step @p196 :rule arith-elim-lt :args (tptp.a 1)) % 0.38/0.61 (step @p203 :rule symm :premises (@p196)) % 0.38/0.61 (step @p436 :rule eq_resolve :premises (@p584 @p203)) % 0.38/0.61 (step @p437 :rule int_tight_ub :premises (@p436)) % 0.38/0.61 (step @p438 :rule arith_trichotomy :premises (@p437 @p587)) % 0.38/0.61 (step-pop @p588 :rule scope :premises (@p438)) % 0.38/0.61 (step-pop @p589 :rule scope :premises (@p588)) % 0.38/0.61 (step @p439 :rule process_scope :premises (@p589) :args (@t67)) % 0.38/0.61 (assume-push @p590 @t8) % 0.38/0.61 (assume-push @p591 @t109) % 0.38/0.61 (step @p444 :rule arith_trichotomy :premises (@p583 @p585)) % 0.38/0.61 (step @p445 :rule int_tight_lb :premises (@p444)) % 0.38/0.61 (step-pop @p592 :rule scope :premises (@p445)) % 0.38/0.61 (step-pop @p593 :rule scope :premises (@p592)) % 0.38/0.61 (step @p446 :rule process_scope :premises (@p593) :args (@t59)) % 0.38/0.61 (step @p449 :rule and_intro :premises (@p583 @p585)) % 0.38/0.61 (step @p450 :rule modus_ponens :premises (@p449 @p446)) % 0.38/0.61 (step @p451 :rule and_intro :premises (@p584 @p450)) % 0.38/0.61 (step @p452 :rule modus_ponens :premises (@p451 @p439)) % 0.38/0.61 (step-pop @p594 :rule scope :premises (@p452)) % 0.38/0.61 (step-pop @p595 :rule scope :premises (@p594)) % 0.38/0.61 (step-pop @p596 :rule scope :premises (@p595)) % 0.38/0.61 (step @p453 :rule process_scope :premises (@p596) :args (@t67)) % 0.38/0.61 (step @p457 :rule implies_elim :premises (@p453)) % 0.38/0.61 (step @p458 :rule cnf_and_neg :args (@t117)) % 0.38/0.61 (step @p459 :rule resolution :premises (@p458 @p457) :args (true @t117)) % 0.38/0.61 (step @p460 :rule eq_resolve :premises (@p459 @p430)) % 0.38/0.61 (step @p461 :rule reordering :premises (@p460) :args ((or @t22 @t67 @t69 @t106))) % 0.38/0.61 (step @p462 :rule chain_m_resolution :premises (@p461 @p427 @p424 @p377) :args (@t67 (@list false true true) (@list @t8 @t69 @t106))) % 0.38/0.61 (assume-push @p597 @t67) % 0.38/0.61 (step @p464 :rule evaluate :args ((= 0 0))) % 0.38/0.61 (step @p147 :rule refl :args (0)) % 0.38/0.61 (step @p465 :rule evaluate :args (@t118)) % 0.38/0.61 (step @p466 :rule cong :premises (@p465 @p147) :args ((= @t118 0))) % 0.38/0.61 (step @p467 :rule trans :premises (@p466 @p464)) % 0.38/0.61 (step @p468 :rule nary_cong :premises (@p597 @p597) :args (@t13)) % 0.38/0.61 (step @p469 :rule cong :premises (@p468 @p147) :args (@t119)) % 0.38/0.61 (step @p470 :rule trans :premises (@p469 @p467)) % 0.38/0.61 (step @p471 :rule true_elim :premises (@p470)) % 0.38/0.61 (step-pop @p598 :rule scope :premises (@p471)) % 0.38/0.61 (step @p472 :rule process_scope :premises (@p598) :args (@t119)) % 0.38/0.61 (step @p474 :rule implies_elim :premises (@p472)) % 0.38/0.61 (step @p475 :rule chain_m_resolution :premises (@p474 @p462) :args (@t119 @t104 (@list @t67))) % 0.38/0.61 (assume-push @p599 @t119) % 0.38/0.61 (assume-push @p600 @t14) % 0.38/0.61 (assume-push @p601 @t119) % 0.38/0.61 (step @p479 :rule evaluate :args ((<= 0 -4))) % 0.38/0.61 (step @p480 :rule evaluate :args ((+ 0 -4))) % 0.38/0.61 (step @p337 :rule evaluate :args (@t99)) % 0.38/0.61 (step @p147 :rule refl :args (0)) % 0.38/0.61 (step @p481 :rule nary_cong :premises (@p147 @p337) :args (@t120)) % 0.38/0.61 (step @p482 :rule trans :premises (@p481 @p480)) % 0.38/0.61 (step @p340 :rule arith_poly_norm :args (@t102)) % 0.38/0.61 (step @p483 :rule cong :premises (@p340 @p482) :args ((<= @t101 @t120))) % 0.38/0.61 (step @p484 :rule trans :premises (@p483 @p479)) % 0.38/0.61 (step @p343 :rule arith_mult_neg :args (-1 @t14)) % 0.38/0.61 (step @p100 :rule evaluate :args (@t55)) % 0.38/0.61 (step @p101 :rule true_elim :premises (@p100)) % 0.38/0.61 (step @p485 :rule and_intro :premises (@p101 @p600)) % 0.38/0.61 (step @p486 :rule modus_ponens :premises (@p485 @p343)) % 0.38/0.61 (step @p487 :rule arith_sum_ub :premises (@p599 @p486)) % 0.38/0.61 (step @p488 false :rule eq_resolve :premises (@p487 @p484)) % 0.38/0.61 (step-pop @p602 :rule scope :premises (@p488)) % 0.38/0.61 (step @p489 :rule process_scope :premises (@p602) :args (false)) % 0.38/0.61 (step @p491 false :rule contra :premises (@p599 @p489)) % 0.38/0.61 (step-pop @p603 :rule scope :premises (@p491)) % 0.38/0.61 (step-pop @p604 :rule scope :premises (@p603)) % 0.38/0.61 (step @p492 :rule process_scope :premises (@p604) :args (false)) % 0.38/0.61 (assume-push @p605 @t14) % 0.38/0.61 (assume-push @p606 @t119) % 0.38/0.61 (step @p497 :rule and_intro :premises (@p606 @p605)) % 0.38/0.61 (step-pop @p607 :rule scope :premises (@p497)) % 0.38/0.61 (step-pop @p608 :rule scope :premises (@p607)) % 0.38/0.61 (step @p498 :rule process_scope :premises (@p608) :args (@t121)) % 0.38/0.61 (step @p501 :rule implies_elim :premises (@p498)) % 0.38/0.61 (step @p502 :rule resolution :premises (@p501 @p492) :args (true @t121)) % 0.38/0.61 (step @p503 :rule not_and :premises (@p502)) % 0.38/0.61 (step @p504 false :rule chain_m_resolution :premises (@p503 @p475 @p331) :args (false @t57 (@list @t119 @t14))) % 0.38/0.61 ) % 0.38/0.61 % SZS output end Proof % 0.38/0.61 % cvc5 exiting %------------------------------------------------------------------------------