%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI673_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 : n016.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 0.42s 0.61s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : ARI673_1 : TPTP v9.2.1. Released v6.3.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n016.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 02:32:39 EDT 2026 % 0.18/0.35 % CPUTime : % 0.36/0.50 %----Proving TF0_ARI % 0.42/0.61 --- Run --finite-model-find --decision=internal at 45... % 0.42/0.61 % SZS status Theorem % 0.42/0.61 % SZS output start Proof % 0.42/0.61 ( % 0.42/0.61 (declare-const tptp.a Int) % 0.42/0.61 (define @t1 () (= tptp.a 1)) % 0.42/0.61 (define @t2 () (- 1)) % 0.42/0.61 (define @t3 () (= tptp.a @t2)) % 0.42/0.61 (define @t4 () (or @t3 @t1)) % 0.42/0.61 (define @t5 () (* tptp.a tptp.a)) % 0.42/0.61 (define @t6 () (= @t5 1)) % 0.42/0.61 (define @t7 () (= @t6 @t4)) % 0.42/0.61 (define @t8 () (not @t7)) % 0.42/0.61 (define @t9 () (* tptp.a tptp.a)) % 0.42/0.61 (define @t10 () (= tptp.a -1)) % 0.42/0.61 (define @t11 () (= 1 1)) % 0.42/0.61 (define @t12 () (* -1 -1)) % 0.42/0.61 (define @t13 () (= @t9 1)) % 0.42/0.61 (define @t14 () (not @t10)) % 0.42/0.61 (define @t15 () (or @t10 @t1)) % 0.42/0.61 (define @t16 () (not @t15)) % 0.42/0.61 (define @t17 () (* 1 1)) % 0.42/0.61 (define @t18 () (not @t1)) % 0.42/0.61 (define @t19 () (@list false)) % 0.42/0.61 (define @t20 () (@list @t13)) % 0.42/0.61 (define @t21 () (@list true)) % 0.42/0.61 (define @t22 () (@list @t15)) % 0.42/0.61 (define @t23 () (>= tptp.a 0)) % 0.42/0.61 (define @t24 () (>= tptp.a -1)) % 0.42/0.61 (define @t25 () (not @t24)) % 0.42/0.61 (define @t26 () (and @t14 @t24)) % 0.42/0.61 (define @t27 () (>= @t9 -1)) % 0.42/0.61 (define @t28 () (not @t13)) % 0.42/0.61 (define @t29 () (not @t27)) % 0.42/0.61 (define @t30 () (+ -2 1)) % 0.42/0.61 (define @t31 () (>= @t9 @t30)) % 0.42/0.61 (define @t32 () (<= @t9 -2)) % 0.42/0.61 (define @t33 () (* -1 1)) % 0.42/0.61 (define @t34 () (+ -2 @t33)) % 0.42/0.61 (define @t35 () (* -1 @t9)) % 0.42/0.61 (define @t36 () (+ @t9 @t35)) % 0.42/0.61 (define @t37 () (< -1 0)) % 0.42/0.61 (define @t38 () (and @t29 @t13)) % 0.42/0.61 (define @t39 () (>= @t9 2)) % 0.42/0.61 (define @t40 () (* -1 2)) % 0.42/0.61 (define @t41 () (+ @t40 1)) % 0.42/0.61 (define @t42 () (+ @t35 @t9)) % 0.42/0.61 (define @t43 () (and @t39 @t13)) % 0.42/0.61 (define @t44 () (>= @t9 0)) % 0.42/0.61 (define @t45 () (ite @t44 @t39 @t29)) % 0.42/0.61 (define @t46 () (not @t45)) % 0.42/0.61 (define @t47 () (@list true false)) % 0.42/0.61 (define @t48 () (>= @t9 1)) % 0.42/0.61 (define @t49 () (- @t9)) % 0.42/0.61 (define @t50 () (<= @t49 @t2)) % 0.42/0.61 (define @t51 () (<= @t49 1)) % 0.42/0.61 (define @t52 () (>= 1 0)) % 0.42/0.61 (define @t53 () (ite @t52 (> @t49 1) (> @t49 @t2))) % 0.42/0.61 (define @t54 () (+ -1 1)) % 0.42/0.61 (define @t55 () (>= @t9 @t54)) % 0.42/0.61 (define @t56 () (<= @t9 @t2)) % 0.42/0.61 (define @t57 () (+ 1 1)) % 0.42/0.61 (define @t58 () (>= @t9 @t57)) % 0.42/0.61 (define @t59 () (ite @t52 (> @t9 1) (> @t9 @t2))) % 0.42/0.61 (define @t60 () (ite @t44 @t59 @t53)) % 0.42/0.61 (define @t61 () (= tptp.a 0)) % 0.42/0.61 (define @t62 () (not @t61)) % 0.42/0.61 (define @t63 () (>= tptp.a 1)) % 0.42/0.61 (define @t64 () (not @t63)) % 0.42/0.61 (define @t65 () (* -1 tptp.a)) % 0.42/0.61 (define @t66 () (- tptp.a)) % 0.42/0.61 (define @t67 () (<= @t66 @t2)) % 0.42/0.61 (define @t68 () (<= @t66 1)) % 0.42/0.61 (define @t69 () (ite @t52 (> @t66 1) (> @t66 @t2))) % 0.42/0.61 (define @t70 () (>= tptp.a 2)) % 0.42/0.61 (define @t71 () (>= tptp.a @t54)) % 0.42/0.61 (define @t72 () (<= tptp.a @t2)) % 0.42/0.61 (define @t73 () (>= tptp.a @t57)) % 0.42/0.61 (define @t74 () (> tptp.a 1)) % 0.42/0.61 (define @t75 () (ite @t52 @t74 (> tptp.a @t2))) % 0.42/0.61 (define @t76 () (ite @t23 @t75 @t69)) % 0.42/0.61 (define @t77 () (and @t76 @t62)) % 0.42/0.61 (define @t78 () (abs @t9)) % 0.42/0.61 (define @t79 () (>= @t78 @t57)) % 0.42/0.61 (define @t80 () (abs 1)) % 0.42/0.61 (define @t81 () (<= @t78 @t80)) % 0.42/0.61 (define @t82 () (abs @t17)) % 0.42/0.61 (define @t83 () (<= @t78 @t82)) % 0.42/0.61 (define @t84 () (ite @t23 @t70 @t25)) % 0.42/0.61 (define @t85 () (and @t84 @t62)) % 0.42/0.61 (define @t86 () (not @t85)) % 0.42/0.61 (define @t87 () (= @t9 0)) % 0.42/0.61 (define @t88 () (= 0 @t9)) % 0.42/0.61 (define @t89 () (not @t87)) % 0.42/0.61 (define @t90 () (* 0 0)) % 0.42/0.61 (define @t91 () (not @t84)) % 0.42/0.61 (define @t92 () (not @t62)) % 0.42/0.61 (define @t93 () (not @t23)) % 0.42/0.61 (define @t94 () (and @t62 @t64 @t23)) % 0.42/0.61 (define @t95 () (not @t70)) % 0.42/0.61 (define @t96 () (and @t95 @t18 @t63)) % 0.42/0.61 (assume @p1 @t8) % 0.42/0.61 (assume @p2 true) % 0.42/0.61 (step @p3 :rule refl :args (@t1)) % 0.42/0.61 (step @p4 :rule evaluate :args (@t2)) % 0.42/0.61 (step @p5 :rule 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:args (@t13)) % 0.42/0.61 (step @p22 :rule trans :premises (@p21 @p19)) % 0.42/0.61 (step @p23 :rule true_elim :premises (@p22)) % 0.42/0.61 (step-pop @p474 :rule scope :premises (@p23)) % 0.42/0.61 (step @p24 :rule process_scope :premises (@p474) :args (@t13)) % 0.42/0.61 (step @p26 :rule implies_elim :premises (@p24)) % 0.42/0.61 (step @p27 :rule reordering :premises (@p26) :args ((or @t13 @t14))) % 0.42/0.61 (step @p28 :rule cnf_or_pos :args (@t15)) % 0.42/0.61 (step @p29 :rule reordering :premises (@p28) :args ((or @t1 @t10 @t16))) % 0.42/0.61 (assume-push @p475 @t1) % 0.42/0.61 (step @p16 :rule evaluate :args (@t11)) % 0.42/0.61 (step @p31 :rule evaluate :args (@t17)) % 0.42/0.61 (step @p32 :rule cong :premises (@p31 @p8) :args ((= @t17 1))) % 0.42/0.61 (step @p33 :rule trans :premises (@p32 @p16)) % 0.42/0.61 (step @p34 :rule nary_cong :premises (@p475 @p475) :args (@t9)) % 0.42/0.61 (step @p35 :rule cong :premises (@p34 @p8) :args (@t13)) % 0.42/0.61 (step @p36 :rule trans 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% 0.42/0.61 (step @p50 :rule refl :args (@t25)) % 0.42/0.61 (step @p51 :rule bool-double-not-elim :args (@t10)) % 0.42/0.61 (step @p52 :rule nary_cong :premises (@p51 @p50 @p49) :args ((or (not @t14) @t25 @t23))) % 0.42/0.61 (assume-push @p477 @t14) % 0.42/0.61 (assume-push @p478 @t24) % 0.42/0.61 (assume-push @p479 @t14) % 0.42/0.61 (assume-push @p480 @t24) % 0.42/0.61 (step @p57 :rule arith_trichotomy :premises (@p477 @p478)) % 0.42/0.61 (step @p58 :rule int_tight_lb :premises (@p57)) % 0.42/0.61 (step-pop @p481 :rule scope :premises (@p58)) % 0.42/0.61 (step-pop @p482 :rule scope :premises (@p481)) % 0.42/0.61 (step @p59 :rule process_scope :premises (@p482) :args (@t23)) % 0.42/0.61 (step @p62 :rule and_intro :premises (@p477 @p478)) % 0.42/0.61 (step @p63 :rule modus_ponens :premises (@p62 @p59)) % 0.42/0.61 (step-pop @p483 :rule scope :premises (@p63)) % 0.42/0.61 (step-pop @p484 :rule scope :premises (@p483)) % 0.42/0.61 (step @p64 :rule process_scope :premises (@p484) :args 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:rule trans :premises (@p82 @p71)) % 0.42/0.61 (step @p84 :rule arith-elim-leq :args (@t9 -2)) % 0.42/0.61 (step @p85 :rule symm :premises (@p84)) % 0.42/0.61 (step @p86 :rule cong :premises (@p85) :args ((not (>= -2 @t9)))) % 0.42/0.61 (step @p87 :rule arith-elim-gt :args (@t9 -2)) % 0.42/0.61 (step @p88 :rule trans :premises (@p87 @p86)) % 0.42/0.61 (step @p89 :rule trans :premises (@p88 @p83)) % 0.42/0.61 (step @p90 :rule cong :premises (@p89) :args ((not (> @t9 -2)))) % 0.42/0.61 (step @p91 :rule symm :premises (@p90)) % 0.42/0.61 (step @p92 :rule trans :premises (@p81 @p91)) % 0.42/0.61 (step @p93 :rule arith-elim-lt :args (@t9 -1)) % 0.42/0.61 (step @p94 :rule symm :premises (@p93)) % 0.42/0.61 (step @p95 :rule eq_resolve :premises (@p485 @p94)) % 0.42/0.61 (step @p96 :rule int_tight_ub :premises (@p95)) % 0.42/0.61 (step @p97 :rule eq_resolve :premises (@p96 @p92)) % 0.42/0.61 (step @p98 :rule symm :premises (@p89)) % 0.42/0.61 (step @p99 :rule trans :premises (@p83 @p98)) % 0.42/0.61 (assume-push @p487 @t32) % 0.42/0.61 (step @p101 :rule evaluate :args ((<= 0 -3))) % 0.42/0.61 (step @p102 :rule evaluate :args ((+ -2 -1))) % 0.42/0.61 (step @p103 :rule evaluate :args (@t33)) % 0.42/0.61 (step @p104 :rule refl :args (-2)) % 0.42/0.61 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t34)) % 0.42/0.61 (step @p106 :rule trans :premises (@p105 @p102)) % 0.42/0.61 (step @p107 :rule arith_poly_norm :args ((= @t36 0))) % 0.42/0.61 (step @p108 :rule cong :premises (@p107 @p106) :args ((<= @t36 @t34))) % 0.42/0.61 (step @p109 :rule trans :premises (@p108 @p101)) % 0.42/0.61 (step @p110 :rule arith_mult_neg :args (-1 @t13)) % 0.42/0.61 (step @p111 :rule evaluate :args (@t37)) % 0.42/0.61 (step @p112 :rule true_elim :premises (@p111)) % 0.42/0.61 (step @p113 :rule and_intro :premises (@p112 @p486)) % 0.42/0.61 (step @p114 :rule modus_ponens :premises (@p113 @p110)) % 0.42/0.61 (step @p115 :rule arith_sum_ub :premises (@p487 @p114)) % 0.42/0.61 (step @p116 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0.42/0.61 (step @p132 :rule not_and :premises (@p131)) % 0.42/0.61 (step @p133 :rule eq_resolve :premises (@p132 @p73)) % 0.42/0.61 (step @p134 :rule chain_m_resolution :premises (@p133 @p42) :args (@t27 @t19 @t20)) % 0.42/0.61 (assume-push @p495 @t39) % 0.42/0.61 (assume-push @p496 @t13) % 0.42/0.61 (step @p137 :rule bool-double-not-elim :args (@t39)) % 0.42/0.61 (step @p138 :rule arith-elim-lt :args (@t9 2)) % 0.42/0.61 (step @p139 :rule cong :premises (@p138) :args ((not (< @t9 2)))) % 0.42/0.61 (step @p140 :rule trans :premises (@p139 @p137)) % 0.42/0.61 (step @p141 :rule symm :premises (@p140)) % 0.42/0.61 (step @p142 :rule eq_resolve :premises (@p495 @p141)) % 0.42/0.61 (step @p143 :rule symm :premises (@p138)) % 0.42/0.61 (assume-push @p497 @t39) % 0.42/0.61 (step @p145 :rule evaluate :args ((<= 0 -1))) % 0.42/0.61 (step @p76 :rule evaluate :args (@t30)) % 0.42/0.61 (step @p146 :rule evaluate :args (@t40)) % 0.42/0.61 (step @p147 :rule nary_cong :premises (@p146 @p8) :args 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0.42/0.61 (assume-push @p515 @t62) % 0.42/0.61 (assume-push @p516 @t64) % 0.42/0.61 (assume-push @p517 @t23) % 0.42/0.61 (step @p414 :rule arith-elim-lt :args (tptp.a 1)) % 0.42/0.61 (step @p415 :rule symm :premises (@p414)) % 0.42/0.61 (step @p416 :rule eq_resolve :premises (@p516 @p415)) % 0.42/0.61 (step @p417 :rule int_tight_ub :premises (@p416)) % 0.42/0.61 (step @p418 :rule arith_trichotomy :premises (@p417 @p517)) % 0.42/0.61 (step @p419 false :rule contra :premises (@p418 @p515)) % 0.42/0.61 (step-pop @p518 :rule scope :premises (@p419)) % 0.42/0.61 (step-pop @p519 :rule scope :premises (@p518)) % 0.42/0.61 (step-pop @p520 :rule scope :premises (@p519)) % 0.42/0.61 (step @p420 :rule process_scope :premises (@p520) :args (false)) % 0.42/0.61 (assume-push @p521 @t62) % 0.42/0.61 (assume-push @p522 @t23) % 0.42/0.61 (assume-push @p523 @t64) % 0.42/0.61 (step @p427 :rule and_intro :premises (@p521 @p523 @p522)) % 0.42/0.61 (step-pop @p524 :rule scope :premises (@p427)) % 0.42/0.61 (step-pop @p525 :rule scope :premises (@p524)) % 0.42/0.61 (step-pop @p526 :rule scope :premises (@p525)) % 0.42/0.61 (step @p428 :rule process_scope :premises (@p526) :args (@t94)) % 0.42/0.61 (step @p432 :rule implies_elim :premises (@p428)) % 0.42/0.61 (step @p433 :rule resolution :premises (@p432 @p420) :args (true @t94)) % 0.42/0.61 (step @p434 :rule not_and :premises (@p433)) % 0.42/0.61 (step @p435 :rule eq_resolve :premises (@p434 @p410)) % 0.42/0.61 (step @p436 :rule chain_m_resolution :premises (@p435 @p392 @p407) :args (@t63 @t47 (@list @t61 @t23))) % 0.42/0.61 (step @p437 :rule cnf_ite_neg1 :args (@t84)) % 0.42/0.61 (step @p438 :rule reordering :premises (@p437) :args ((or @t93 @t95 @t84))) % 0.42/0.61 (step @p439 :rule chain_m_resolution :premises (@p438 @p407 @p400) :args (@t95 (@list false true) (@list @t23 @t84))) % 0.42/0.61 (step @p440 :rule refl :args (@t64)) % 0.42/0.61 (step @p441 :rule bool-double-not-elim :args (@t1)) % 0.42/0.61 (step @p442 :rule nary_cong :premises (@p441 @p440 @p291) :args ((or (not @t18) @t64 (not @t95)))) % 0.42/0.61 (assume-push @p527 @t95) % 0.42/0.61 (assume-push @p528 @t18) % 0.42/0.61 (assume-push @p529 @t63) % 0.42/0.61 (step @p446 :rule cong :premises (@p303) :args ((not @t74))) % 0.42/0.61 (step @p447 :rule symm :premises (@p446)) % 0.42/0.61 (step @p448 :rule trans :premises (@p295 @p447)) % 0.42/0.61 (step @p449 :rule arith-elim-lt :args (tptp.a 2)) % 0.42/0.61 (step @p450 :rule symm :premises (@p449)) % 0.42/0.61 (step @p451 :rule eq_resolve :premises (@p527 @p450)) % 0.42/0.61 (step @p452 :rule int_tight_ub :premises (@p451)) % 0.42/0.61 (step @p453 :rule eq_resolve :premises (@p452 @p448)) % 0.42/0.61 (step @p454 :rule arith_trichotomy :premises (@p528 @p529)) % 0.42/0.61 (step @p455 false :rule contra :premises (@p454 @p453)) % 0.42/0.61 (step-pop @p530 :rule scope :premises (@p455)) % 0.42/0.61 (step-pop @p531 :rule scope :premises (@p530)) % 0.42/0.61 (step-pop @p532 :rule scope :premises (@p531)) % 0.42/0.61 (step @p456 :rule process_scope :premises (@p532) :args (false)) % 0.42/0.61 (assume-push @p533 @t18) % 0.42/0.61 (assume-push @p534 @t63) % 0.42/0.61 (assume-push @p535 @t95) % 0.42/0.61 (step @p463 :rule and_intro :premises (@p535 @p533 @p534)) % 0.42/0.61 (step-pop @p536 :rule scope :premises (@p463)) % 0.42/0.61 (step-pop @p537 :rule scope :premises (@p536)) % 0.42/0.61 (step-pop @p538 :rule scope :premises (@p537)) % 0.42/0.61 (step @p464 :rule process_scope :premises (@p538) :args (@t96)) % 0.42/0.61 (step @p468 :rule implies_elim :premises (@p464)) % 0.42/0.61 (step @p469 :rule resolution :premises (@p468 @p456) :args (true @t96)) % 0.42/0.61 (step @p470 :rule not_and :premises (@p469)) % 0.42/0.61 (step @p471 :rule eq_resolve :premises (@p470 @p442)) % 0.42/0.61 (step @p472 false :rule chain_m_resolution :premises (@p471 @p439 @p436 @p46) :args (false (@list true false true) (@list @t70 @t63 @t1))) % 0.42/0.61 ) % 0.42/0.61 % SZS output end Proof % 0.42/0.61 % cvc5 exiting %------------------------------------------------------------------------------