0.10/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.10/0.10	% Command    : do_cvc5 %s %d THM
0.10/0.30	% Computer : n022.cluster.edu
0.10/0.30	% Model    : x86_64 x86_64
0.10/0.30	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.30	% Memory   : 8042.1875MB
0.10/0.30	% OS       : Linux 3.10.0-693.el7.x86_64
0.10/0.30	% CPULimit   : 1440
0.10/0.30	% WCLimit    : 180
0.10/0.30	% DateTime   : Thu Jul  4 05:45:09 EDT 2024
0.10/0.31	% CPUTime    : 
0.16/0.43	%----Proving TF0_ARI
36.05/36.27	--- Run --finite-model-find --decision=internal at 15...
36.05/36.27	--- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --enum-inst at 10...
36.05/36.27	--- Run --no-e-matching --enum-inst at 10...
36.05/36.27	--- Run --cegqi-all --purify-triggers --enum-inst at 10...
36.05/36.27	% SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.0kOE3pm2M5/cvc5---1.0.5_2701.smt2
36.05/36.27	% SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.0kOE3pm2M5/cvc5---1.0.5_2701.smt2
36.05/36.27	(declare-fun tptp.ub (Int Int Int) Bool)
36.05/36.27	(declare-fun tptp.minsol_model_ub (Int Int Int) Bool)
36.05/36.27	(declare-fun tptp.model_ub (Int Int Int) Bool)
36.05/36.27	(declare-fun tptp.model_max (Int Int Int) Bool)
36.05/36.27	(declare-fun tptp.minsol_model_max (Int Int Int) Bool)
36.05/36.27	(declare-fun tptp.summation (Int) Int)
36.05/36.27	(declare-fun tptp.max (Int Int) Int)
36.05/36.27	(define @v.0.Z () (alf.var "Z" Int))
36.05/36.27	(define @v.0.X () (alf.var "X" Int))
36.05/36.27	(define @v.0.N () (alf.var "N" Int))
36.05/36.27	(define @v.0.Y () (alf.var "Y" Int))
36.05/36.27	(define @t1 () (tptp.max @v.0.X @v.0.Y))
36.05/36.27	(define @t2 () (@list @v.0.X @v.0.Y))
36.05/36.27	(define @t3 () (forall @t2 (or (= @t1 @v.0.X) (not (<= @v.0.Y @v.0.X)))))
36.05/36.27	(define @t4 () (<= @v.0.X @v.0.Y))
36.05/36.27	(define @t5 () (tptp.minsol_model_max @v.0.X @v.0.Y @v.0.N))
36.05/36.27	(define @t6 () (<= @v.0.N @v.0.Z))
36.05/36.27	(define @t7 () (tptp.model_max @v.0.X @v.0.Y @v.0.Z))
36.05/36.27	(define @t8 () (@list @v.0.Z))
36.05/36.27	(define @t9 () (tptp.model_max @v.0.X @v.0.Y @v.0.N))
36.05/36.27	(define @t10 () (@list @v.0.X @v.0.Y @v.0.N))
36.05/36.27	(define @t11 () (forall @t10 (= (and @t9 (forall @t8 (=> @t7 @t6))) @t5)))
36.05/36.27	(define @t12 () (forall @t2 (or (not @t4) (= @t1 @v.0.Y))))
36.05/36.27	(define @t13 () (= @v.0.N @t1))
36.05/36.27	(define @t14 () (forall @t10 (= @t13 @t9)))
36.05/36.27	(define @t15 () (tptp.model_ub @v.0.X @v.0.Y @v.0.N))
36.05/36.27	(define @t16 () (tptp.model_ub @v.0.X @v.0.Y @v.0.Z))
36.05/36.27	(define @t17 () (tptp.minsol_model_ub @v.0.X @v.0.Y @v.0.N))
36.05/36.27	(define @t18 () (forall @t10 (= @t17 (and (forall @t8 (=> @t16 @t6)) @t15))))
36.05/36.27	(define @t19 () (tptp.ub @v.0.X @v.0.Y @v.0.N))
36.05/36.27	(define @t20 () (forall @t10 (= @t19 @t15)))
36.05/36.27	(define @t21 () (= (tptp.minsol_model_max @v.0.X @v.0.Y @v.0.Z) (tptp.minsol_model_ub @v.0.X @v.0.Y @v.0.Z)))
36.05/36.27	(define @t22 () (@list @v.0.X @v.0.Y @v.0.Z))
36.05/36.27	(define @t23 () (tptp.ub @v.0.X @v.0.Y @v.0.Z))
36.05/36.27	(define @t24 () (forall @t22 (= (and (<= @v.0.X @v.0.Z) (<= @v.0.Y @v.0.Z)) @t23)))
36.05/36.27	(define @t25 () (exists @t22 (not @t21)))
36.05/36.27	(define @t26 () (@quantifiers_skolemize @t25 @v.0.Y))
36.05/36.27	(define @t27 () (@quantifiers_skolemize @t25 @v.0.X))
36.05/36.27	(define @t28 () (+ @t27 (* -1 @t26)))
36.05/36.27	(define @t29 () (>= @t28 1))
36.05/36.27	(define @t30 () (* -1 1))
36.05/36.27	(define @t31 () (* -1 @t28))
36.05/36.27	(define @t32 () (>= @t28 0))
36.05/36.27	(define @t33 () (+ @v.0.X (* -1 @v.0.Y)))
36.05/36.27	(define @t34 () (@list @t27 @t26))
36.05/36.27	(define @t35 () (not @t32))
36.05/36.27	(define @t36 () (tptp.max @t27 @t26))
36.05/36.27	(define @t37 () (= @t27 @t36))
36.05/36.27	(define @t38 () (or @t37 @t35))
36.05/36.27	(define @t39 () (* -1 @v.0.Z))
36.05/36.27	(define @t40 () (forall @t22 (= @t23 (and (not (>= (+ @v.0.X @t39) 1)) (not (>= (+ @v.0.Y @t39) 1))))))
36.05/36.27	(define @t41 () (@quantifiers_skolemize @t25 @v.0.Z))
36.05/36.27	(define @t42 () (@list @t27 @t26 @t41))
36.05/36.27	(define @t43 () (not (>= (+ @v.0.N @t39) 1)))
36.05/36.27	(define @t44 () (forall @t10 (= @t17 (and (forall @t8 (or (not @t16) @t43)) @t15))))
36.05/36.27	(define @t45 () (tptp.model_ub @t27 @t26 @t41))
36.05/36.27	(define @t46 () (not (>= (+ @t41 @t39) 1)))
36.05/36.27	(define @t47 () (not (tptp.model_ub @t27 @t26 @v.0.Z)))
36.05/36.27	(define @t48 () (tptp.minsol_model_ub @t27 @t26 @t41))
36.05/36.27	(define @t49 () (* -1 @t41))
36.05/36.27	(define @t50 () (>= (+ @v.0.Z @t49) 0))
36.05/36.27	(define @t51 () (or @t47 @t50))
36.05/36.27	(define @t52 () (forall @t8 @t51))
36.05/36.27	(define @t53 () (and @t52 @t45))
36.05/36.27	(define @t54 () (= @t48 @t53))
36.05/36.27	(define @t55 () (tptp.minsol_model_max @t27 @t26 @t41))
36.05/36.27	(define @t56 () (= @t55 @t48))
36.05/36.27	(define @t57 () (forall @t10 (= @t5 (and @t9 (forall @t8 (or (not @t7) @t43))))))
36.05/36.27	(define @t58 () (not (tptp.model_max @t27 @t26 @v.0.Z)))
36.05/36.27	(define @t59 () (tptp.model_max @t27 @t26 @t41))
36.05/36.27	(define @t60 () (or @t58 @t50))
36.05/36.27	(define @t61 () (forall @t8 @t60))
36.05/36.27	(define @t62 () (and @t59 @t61))
36.05/36.27	(define @t63 () (= @t55 @t62))
36.05/36.27	(define @t64 () (not @t63))
36.05/36.27	(define @t65 () (not @t55))
36.05/36.27	(define @t66 () (not @t54))
36.05/36.27	(define @t67 () (not @t53))
36.05/36.27	(define @t68 () (not @t62))
36.05/36.27	(define @t69 () (= @t41 @t36))
36.05/36.27	(define @t70 () (= @t59 @t69))
36.05/36.27	(define @t71 () (not @t70))
36.05/36.27	(define @t72 () (@quantifiers_skolemize (exists @t8 (not @t51)) @v.0.Z))
36.05/36.27	(define @t73 () (tptp.model_ub @t27 @t26 @t72))
36.05/36.27	(define @t74 () (not @t73))
36.05/36.27	(define @t75 () (* -1 @t72))
36.05/36.27	(define @t76 () (+ @t41 @t75))
36.05/36.27	(define @t77 () (>= @t76 1))
36.05/36.27	(define @t78 () (not @t77))
36.05/36.27	(define @t79 () (or @t74 @t78))
36.05/36.27	(define @t80 () (@list @t27 @t26 @t72))
36.05/36.27	(define @t81 () (tptp.ub @t27 @t26 @t72))
36.05/36.27	(define @t82 () (= @t73 @t81))
36.05/36.27	(define @t83 () (+ @t26 @t75))
36.05/36.27	(define @t84 () (>= @t83 1))
36.05/36.27	(define @t85 () (not @t84))
36.05/36.27	(define @t86 () (+ @t27 @t75))
36.05/36.27	(define @t87 () (>= @t86 1))
36.05/36.27	(define @t88 () (not @t87))
36.05/36.27	(define @t89 () (and @t88 @t85))
36.05/36.27	(define @t90 () (= @t81 @t89))
36.05/36.27	(define @t91 () (not @t89))
36.05/36.27	(define @t92 () (= @t26 @t36))
36.05/36.27	(define @t93 () (not @t92))
36.05/36.27	(define @t94 () (not @t69))
36.05/36.27	(define @t95 () (= @t26 @t41))
36.05/36.27	(define @t96 () (+ @t26 @t49))
36.05/36.27	(define @t97 () (= @t96 0))
36.05/36.27	(define @t98 () (* -1 0))
36.05/36.27	(define @t99 () (+ @t98 @t30 1))
36.05/36.27	(define @t100 () (* -1 @t76))
36.05/36.27	(define @t101 () (* -1 @t96))
36.05/36.27	(define @t102 () (not @t97))
36.05/36.27	(define @t103 () (and @t85 @t77 @t95))
36.05/36.27	(define @t104 () (or @t29 @t92))
36.05/36.27	(define @t105 () (not @t37))
36.05/36.27	(define @t106 () (= @t27 @t41))
36.05/36.27	(define @t107 () (+ @t27 @t49))
36.05/36.27	(define @t108 () (= @t107 0))
36.05/36.27	(define @t109 () (* -1 @t107))
36.05/36.27	(define @t110 () (not @t108))
36.05/36.27	(define @t111 () (and @t88 @t77 @t106))
36.05/36.27	(define @t112 () (not @t79))
36.05/36.27	(define @t113 () (not @t52))
36.05/36.27	(define @t114 () (not (or @t74 (>= (+ @t72 @t49) 0))))
36.05/36.27	(define @t115 () (tptp.ub @t27 @t26 @t41))
36.05/36.27	(define @t116 () (= @t45 @t115))
36.05/36.27	(define @t117 () (not @t116))
36.05/36.27	(define @t118 () (not @t115))
36.05/36.27	(define @t119 () (>= @t96 1))
36.05/36.27	(define @t120 () (not @t119))
36.05/36.27	(define @t121 () (>= @t107 1))
36.05/36.27	(define @t122 () (not @t121))
36.05/36.27	(define @t123 () (and @t122 @t120))
36.05/36.27	(define @t124 () (= @t115 @t123))
36.05/36.27	(define @t125 () (not @t124))
36.05/36.27	(define @t126 () (not @t123))
36.05/36.27	(define @t127 () (+ @t30 0))
36.05/36.27	(define @t128 () (< @t96 1))
36.05/36.27	(define @t129 () (and @t69 @t92))
36.05/36.27	(define @t130 () (not @t29))
36.05/36.27	(define @t131 () (* -1 @t36))
36.05/36.27	(define @t132 () (+ @t26 @t131))
36.05/36.27	(define @t133 () (= @t132 0))
36.05/36.27	(define @t134 () (< @t28 1))
36.05/36.27	(define @t135 () (+ @t41 @t131))
36.05/36.27	(define @t136 () (= @t135 0))
36.05/36.27	(define @t137 () (* -1 @t135))
36.05/36.27	(define @t138 () (< @t107 1))
36.05/36.27	(define @t139 () (and @t92 @t130 @t69 @t121))
36.05/36.27	(define @t140 () (and @t69 @t37))
36.05/36.27	(define @t141 () (+ @t101 @t31 @t107))
36.05/36.27	(define @t142 () (and @t122 @t32 @t119))
36.05/36.27	(define @t143 () (>= @t107 0))
36.05/36.27	(define @t144 () (not @t143))
36.05/36.27	(define @t145 () (and @t37 @t143 @t122 @t94))
36.05/36.27	(define @t146 () (+ -1 @t41))
36.05/36.27	(define @t147 () (@list @t27 @t26 @t146))
36.05/36.27	(define @t148 () (* -1 @t146))
36.05/36.27	(define @t149 () (tptp.ub @t27 @t26 @t146))
36.05/36.27	(define @t150 () (>= @t96 0))
36.05/36.27	(define @t151 () (not @t150))
36.05/36.27	(define @t152 () (and @t144 @t151))
36.05/36.27	(define @t153 () (= @t149 @t152))
36.05/36.27	(define @t154 () (tptp.model_ub @t27 @t26 @t146))
36.05/36.27	(define @t155 () (not @t154))
36.05/36.27	(define @t156 () (= @t154 @t149))
36.05/36.27	(define @t157 () (not @t149))
36.05/36.27	(define @t158 () (not @t152))
36.05/36.27	(define @t159 () (< @t96 0))
36.05/36.27	(define @t160 () (and @t122 @t29 @t150))
36.05/36.27	(define @t161 () (>= @t135 0))
36.05/36.27	(define @t162 () (not @t161))
36.05/36.27	(define @t163 () (<= @t96 -1))
36.05/36.27	(define @t164 () (and @t143 @t130 @t151))
36.05/36.27	(define @t165 () (not @t61))
36.05/36.27	(define @t166 () (@quantifiers_skolemize (exists @t8 (not @t60)) @v.0.Z))
36.05/36.27	(define @t167 () (+ @t41 (* -1 @t166)))
36.05/36.27	(define @t168 () (>= @t167 1))
36.05/36.27	(define @t169 () (not @t168))
36.05/36.27	(define @t170 () (tptp.model_max @t27 @t26 @t166))
36.05/36.27	(define @t171 () (not @t170))
36.05/36.27	(define @t172 () (or @t171 @t169))
36.05/36.27	(define @t173 () (not @t172))
36.05/36.27	(define @t174 () (not (or @t171 (>= (+ @t166 @t49) 0))))
36.05/36.27	(define @t175 () (= @t166 @t36))
36.05/36.27	(define @t176 () (= @t170 @t175))
36.05/36.27	(define @t177 () (= @t41 @t166))
36.05/36.27	(define @t178 () (not @t177))
36.05/36.27	(define @t179 () (and @t175 @t69 @t178))
36.05/36.27	(assume @p1 @t3)
36.05/36.27	(assume @p2 (forall @t2 (= (<= (tptp.summation @v.0.X) (tptp.summation @v.0.Y)) @t4)))
36.05/36.27	(assume @p3 @t11)
36.05/36.27	(assume @p4 @t12)
36.05/36.27	(assume @p5 @t14)
36.05/36.27	(assume @p6 @t18)
36.05/36.27	(assume @p7 @t20)
36.05/36.27	(assume @p8 (not (forall @t22 @t21)))
36.05/36.27	(assume @p9 @t24)
36.05/36.27	(assume @p10 true)
36.05/36.27	(assume-push @p11 @t29)
36.05/36.27	(assume-push @p12 @t29)
36.05/36.27	(assume-push @p13 (< @t28 0))
36.05/36.27	; WARNING: add trust step for MACRO_ARITH_SCALE_SUM_UB
36.05/36.27	; trust MACRO_ARITH_SCALE_SUM_UB
36.05/36.27	(step @p14 :rule trust :premises (@p13 @p11) :args ((< (+ @t28 @t31) (+ 0 @t30))))
36.05/36.27	; WARNING: add trust step for MACRO_SR_PRED_TRANSFORM
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p15 false :rule trust :premises (@p14) :args (false))
36.05/36.27	(step-pop @p582 :rule scope :premises (@p15))
36.05/36.27	(step @p16 :rule process_scope :premises (@p582) :args (false))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p18 :rule trust :premises (@p16) :args (@t32))
36.05/36.27	(step-pop @p583 :rule scope :premises (@p18))
36.05/36.27	(step @p19 :rule process_scope :premises (@p583) :args (@t32))
36.05/36.27	(step @p21 :rule modus_ponens :premises (@p11 @p19))
36.05/36.27	(step-pop @p584 :rule scope :premises (@p21))
36.05/36.27	(step @p22 :rule process_scope :premises (@p584) :args (@t32))
36.05/36.27	(step @p24 :rule implies_elim :premises (@p22))
36.05/36.27	; WARNING: add trust step for MACRO_SR_EQ_INTRO
36.05/36.27	; trust MACRO_SR_EQ_INTRO
36.05/36.27	(step @p25 :rule trust :premises () :args ((= @t3 (forall @t2 (or (= @v.0.X @t1) (not (>= @t33 0)))))))
36.05/36.27	(step @p26 :rule eq_resolve :premises (@p1 @p25))
36.05/36.27	(step @p27 :rule instantiate :premises (@p26) :args (@t34))
36.05/36.27	(step @p28 :rule cnf_or_pos :args (@t38))
36.05/36.27	(step @p29 :rule reordering :premises (@p28) :args ((or @t37 @t35 (not @t38))))
36.05/36.27	; trust MACRO_SR_EQ_INTRO
36.05/36.27	(step @p30 :rule trust :premises () :args ((= @t24 @t40)))
36.05/36.27	(step @p31 :rule eq_resolve :premises (@p9 @p30))
36.05/36.27	(step @p32 :rule instantiate :premises (@p31) :args (@t42))
36.05/36.27	; trust MACRO_SR_EQ_INTRO
36.05/36.27	(step @p33 :rule trust :premises () :args ((= @t20 (forall @t10 (= @t15 @t19)))))
36.05/36.27	(step @p34 :rule eq_resolve :premises (@p7 @p33))
36.05/36.27	(step @p35 :rule instantiate :premises (@p34) :args (@t42))
36.05/36.27	; trust MACRO_SR_EQ_INTRO
36.05/36.27	(step @p36 :rule trust :premises () :args ((= @t18 @t44)))
36.05/36.27	(step @p37 :rule eq_resolve :premises (@p6 @p36))
36.05/36.27	(assume-push @p38 @t44)
36.05/36.27	(step @p39 :rule instantiate :premises (@p37) :args (@t42))
36.05/36.27	(step-pop @p585 :rule scope :premises (@p39))
36.05/36.27	(step @p40 :rule process_scope :premises (@p585) :args ((= @t48 (and (forall @t8 (or @t47 @t46)) @t45))))
36.05/36.27	; WARNING: add trust step for MACRO_SR_PRED_ELIM
36.05/36.27	; trust MACRO_SR_PRED_ELIM
36.05/36.27	(step @p42 :rule trust :premises (@p40) :args ((=> @t44 @t54)))
36.05/36.27	(step @p43 :rule implies_elim :premises (@p42))
36.05/36.27	; WARNING: add trust step for MACRO_RESOLUTION_TRUST
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p44 :rule trust :premises (@p43 @p37) :args (@t54))
36.05/36.27	(step @p45 :rule skolemize :premises (@p8))
36.05/36.27	(step @p46 :rule cnf_equiv_neg2 :args (@t56))
36.05/36.27	; trust MACRO_SR_EQ_INTRO
36.05/36.27	(step @p47 :rule trust :premises () :args ((= @t11 @t57)))
36.05/36.27	(step @p48 :rule eq_resolve :premises (@p3 @p47))
36.05/36.27	(assume-push @p49 @t57)
36.05/36.27	(step @p50 :rule instantiate :premises (@p48) :args (@t42))
36.05/36.27	(step-pop @p586 :rule scope :premises (@p50))
36.05/36.27	(step @p51 :rule process_scope :premises (@p586) :args ((= @t55 (and @t59 (forall @t8 (or @t58 @t46))))))
36.05/36.27	; trust MACRO_SR_PRED_ELIM
36.05/36.27	(step @p53 :rule trust :premises (@p51) :args ((=> @t57 @t63)))
36.05/36.27	(step @p54 :rule implies_elim :premises (@p53))
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p55 :rule trust :premises (@p54 @p48) :args (@t63))
36.05/36.27	(step @p56 :rule cnf_equiv_pos1 :args (@t63))
36.05/36.27	(step @p57 :rule reordering :premises (@p56) :args ((or @t65 @t62 @t64)))
36.05/36.27	(step @p58 :rule cnf_equiv_pos2 :args (@t54))
36.05/36.27	(step @p59 :rule reordering :premises (@p58) :args ((or @t48 @t67 @t66)))
36.05/36.27	(step @p60 :rule cnf_and_pos :args (@t62 0))
36.05/36.27	(step @p61 :rule reordering :premises (@p60) :args ((or @t59 @t68)))
36.05/36.27	; trust MACRO_SR_EQ_INTRO
36.05/36.27	(step @p62 :rule trust :premises () :args ((= @t14 (forall @t10 (= @t9 @t13)))))
36.05/36.27	(step @p63 :rule eq_resolve :premises (@p5 @p62))
36.05/36.27	(step @p64 :rule instantiate :premises (@p63) :args (@t42))
36.05/36.27	(step @p65 :rule cnf_equiv_pos1 :args (@t70))
36.05/36.27	(step @p66 :rule reordering :premises (@p65) :args ((or (not @t59) @t69 @t71)))
36.05/36.27	; WARNING: add trust step for MACRO_SR_PRED_INTRO
36.05/36.27	; trust MACRO_SR_PRED_INTRO
36.05/36.27	(step @p67 :rule trust :premises () :args ((= (not @t74) @t73)))
36.05/36.27	(step @p68 :rule refl :args (@t79))
36.05/36.27	(step @p69 :rule nary_cong :premises (@p68 @p67) :args (or))
36.05/36.27	(step @p70 :rule cnf_or_neg :args (@t79 0))
36.05/36.27	(step @p71 :rule eq_resolve :premises (@p70 @p69))
36.05/36.27	(step @p72 :rule reordering :premises (@p71) :args ((or @t73 @t79)))
36.05/36.27	; trust MACRO_SR_PRED_INTRO
36.05/36.27	(step @p73 :rule trust :premises () :args ((= (not @t78) @t77)))
36.05/36.27	(step @p74 :rule nary_cong :premises (@p68 @p73) :args (or))
36.05/36.27	(step @p75 :rule cnf_or_neg :args (@t79 1))
36.05/36.27	(step @p76 :rule eq_resolve :premises (@p75 @p74))
36.05/36.27	(step @p77 :rule reordering :premises (@p76) :args ((or @t77 @t79)))
36.05/36.27	(step @p78 :rule instantiate :premises (@p34) :args (@t80))
36.05/36.27	(step @p79 :rule cnf_equiv_pos1 :args (@t82))
36.05/36.27	(step @p80 :rule reordering :premises (@p79) :args ((or @t74 @t81 (not @t82))))
36.05/36.27	(step @p81 :rule instantiate :premises (@p31) :args (@t80))
36.05/36.27	(step @p82 :rule cnf_equiv_pos1 :args (@t90))
36.05/36.27	(step @p83 :rule reordering :premises (@p82) :args ((or (not @t81) @t89 (not @t90))))
36.05/36.27	(step @p84 :rule cnf_and_pos :args (@t89 0))
36.05/36.27	(step @p85 :rule reordering :premises (@p84) :args ((or @t88 @t91)))
36.05/36.27	(step @p86 :rule cnf_and_pos :args (@t89 1))
36.05/36.27	(step @p87 :rule reordering :premises (@p86) :args ((or @t85 @t91)))
36.05/36.27	; trust MACRO_SR_PRED_INTRO
36.05/36.27	(step @p88 :rule trust :premises () :args ((= (not @t85) @t84)))
36.05/36.27	(step @p89 :rule refl :args (@t93))
36.05/36.27	(step @p90 :rule refl :args (@t94))
36.05/36.27	(step @p91 :rule refl :args (@t78))
36.05/36.27	(step @p92 :rule nary_cong :premises (@p91 @p90 @p89 @p88) :args (or))
36.05/36.27	(assume-push @p93 @t85)
36.05/36.27	(assume-push @p94 @t77)
36.05/36.27	(assume-push @p95 @t95)
36.05/36.27	(assume-push @p96 @t97)
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p97 :rule trust :premises (@p93) :args ((< @t83 1)))
36.05/36.27	; trust MACRO_ARITH_SCALE_SUM_UB
36.05/36.27	(step @p98 :rule trust :premises (@p96 @p94 @p97) :args ((< (+ @t101 @t100 @t83) @t99)))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p99 false :rule trust :premises (@p98) :args (false))
36.05/36.27	(step-pop @p587 :rule scope :premises (@p99))
36.05/36.27	(step @p100 :rule process_scope :premises (@p587) :args (false))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p102 :rule trust :premises (@p100) :args (@t102))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p103 :rule trust :premises (@p102) :args (@t102))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p104 :rule trust :premises (@p95) :args (@t97))
36.05/36.27	(step @p105 false :rule contra :premises (@p104 @p103))
36.05/36.27	(step-pop @p588 :rule scope :premises (@p105))
36.05/36.27	(step-pop @p589 :rule scope :premises (@p588))
36.05/36.27	(step-pop @p590 :rule scope :premises (@p589))
36.05/36.27	(step @p106 :rule process_scope :premises (@p590) :args (false))
36.05/36.27	(assume-push @p110 @t77)
36.05/36.27	(assume-push @p111 @t69)
36.05/36.27	(assume-push @p112 @t92)
36.05/36.27	(assume-push @p113 @t85)
36.05/36.27	(assume-push @p114 @t69)
36.05/36.27	(assume-push @p115 @t92)
36.05/36.27	(step @p116 :rule symm :premises (@p111))
36.05/36.27	(step @p117 :rule symm :premises (@p112))
36.05/36.27	(step @p118 :rule symm :premises (@p117))
36.05/36.27	(step @p119 :rule trans :premises (@p118 @p116))
36.05/36.27	(step-pop @p591 :rule scope :premises (@p119))
36.05/36.27	(step-pop @p592 :rule scope :premises (@p591))
36.05/36.27	(step @p120 :rule process_scope :premises (@p592) :args (@t95))
36.05/36.27	(step @p123 :rule and_intro :premises (@p111 @p112))
36.05/36.27	(step @p124 :rule modus_ponens :premises (@p123 @p120))
36.05/36.27	(step @p125 :rule and_intro :premises (@p93 @p94 @p124))
36.05/36.27	(step-pop @p593 :rule scope :premises (@p125))
36.05/36.27	(step-pop @p594 :rule scope :premises (@p593))
36.05/36.27	(step-pop @p595 :rule scope :premises (@p594))
36.05/36.27	(step-pop @p596 :rule scope :premises (@p595))
36.05/36.27	(step @p126 :rule process_scope :premises (@p596) :args (@t103))
36.05/36.27	(step @p131 :rule implies_elim :premises (@p126))
36.05/36.27	(step @p132 :rule resolution :premises (@p131 @p106) :args (true @t103))
36.05/36.27	(step @p133 :rule not_and :premises (@p132))
36.05/36.27	(step @p134 :rule eq_resolve :premises (@p133 @p92))
36.05/36.27	; trust MACRO_SR_EQ_INTRO
36.05/36.27	(step @p135 :rule trust :premises () :args ((= @t12 (forall @t2 (or (>= @t33 1) (= @v.0.Y @t1))))))
36.05/36.27	(step @p136 :rule eq_resolve :premises (@p4 @p135))
36.05/36.27	(step @p137 :rule instantiate :premises (@p136) :args (@t34))
36.05/36.27	(step @p138 :rule cnf_or_pos :args (@t104))
36.05/36.27	(step @p139 :rule reordering :premises (@p138) :args ((or @t29 @t92 (not @t104))))
36.05/36.27	(step @p140 :rule refl :args (@t105))
36.05/36.27	; trust MACRO_SR_PRED_INTRO
36.05/36.27	(step @p141 :rule trust :premises () :args ((= (not @t88) @t87)))
36.05/36.27	(step @p142 :rule nary_cong :premises (@p91 @p90 @p141 @p140) :args (or))
36.05/36.27	(assume-push @p143 @t88)
36.05/36.27	(assume-push @p144 @t77)
36.05/36.27	(assume-push @p145 @t106)
36.05/36.27	(assume-push @p146 @t108)
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p147 :rule trust :premises (@p143) :args ((< @t86 1)))
36.05/36.27	; trust MACRO_ARITH_SCALE_SUM_UB
36.05/36.27	(step @p148 :rule trust :premises (@p146 @p94 @p147) :args ((< (+ @t109 @t100 @t86) @t99)))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p149 false :rule trust :premises (@p148) :args (false))
36.05/36.27	(step-pop @p597 :rule scope :premises (@p149))
36.05/36.27	(step @p150 :rule process_scope :premises (@p597) :args (false))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p152 :rule trust :premises (@p150) :args (@t110))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p153 :rule trust :premises (@p152) :args (@t110))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p154 :rule trust :premises (@p145) :args (@t108))
36.05/36.27	(step @p155 false :rule contra :premises (@p154 @p153))
36.05/36.27	(step-pop @p598 :rule scope :premises (@p155))
36.05/36.27	(step-pop @p599 :rule scope :premises (@p598))
36.05/36.27	(step-pop @p600 :rule scope :premises (@p599))
36.05/36.27	(step @p156 :rule process_scope :premises (@p600) :args (false))
36.05/36.27	(assume-push @p160 @t77)
36.05/36.27	(assume-push @p161 @t69)
36.05/36.27	(assume-push @p162 @t88)
36.05/36.27	(assume-push @p163 @t37)
36.05/36.27	(assume-push @p164 @t69)
36.05/36.27	(assume-push @p165 @t37)
36.05/36.27	(step @p166 :rule symm :premises (@p111))
36.05/36.27	(step @p167 :rule symm :premises (@p163))
36.05/36.27	(step @p168 :rule symm :premises (@p167))
36.05/36.27	(step @p169 :rule trans :premises (@p168 @p166))
36.05/36.27	(step-pop @p601 :rule scope :premises (@p169))
36.05/36.27	(step-pop @p602 :rule scope :premises (@p601))
36.05/36.27	(step @p170 :rule process_scope :premises (@p602) :args (@t106))
36.05/36.27	(step @p173 :rule and_intro :premises (@p111 @p163))
36.05/36.27	(step @p174 :rule modus_ponens :premises (@p173 @p170))
36.05/36.27	(step @p175 :rule and_intro :premises (@p143 @p94 @p174))
36.05/36.27	(step-pop @p603 :rule scope :premises (@p175))
36.05/36.27	(step-pop @p604 :rule scope :premises (@p603))
36.05/36.27	(step-pop @p605 :rule scope :premises (@p604))
36.05/36.27	(step-pop @p606 :rule scope :premises (@p605))
36.05/36.27	(step @p176 :rule process_scope :premises (@p606) :args (@t111))
36.05/36.27	(step @p181 :rule implies_elim :premises (@p176))
36.05/36.27	(step @p182 :rule resolution :premises (@p181 @p156) :args (true @t111))
36.05/36.27	(step @p183 :rule not_and :premises (@p182))
36.05/36.27	(step @p184 :rule eq_resolve :premises (@p183 @p142))
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p185 :rule trust :premises (@p184 @p29 @p27 @p24 @p139 @p137 @p134 @p87 @p85 @p83 @p81 @p80 @p78 @p77 @p72) :args ((or @t79 @t94)))
36.05/36.27	(step @p186 :rule refl :args (@t112))
36.05/36.27	; trust MACRO_SR_PRED_INTRO
36.05/36.27	(step @p187 :rule trust :premises () :args ((= (not @t113) @t52)))
36.05/36.27	(step @p188 :rule nary_cong :premises (@p187 @p186) :args (or))
36.05/36.27	; WARNING: add trust step for MACRO_REWRITE
36.05/36.27	; trust MACRO_REWRITE
36.05/36.27	(step @p189 :rule trust :premises () :args ((= (=> @t113 @t114) (=> @t113 @t112))))
36.05/36.27	(assume-push @p190 @t113)
36.05/36.27	(step @p191 :rule skolemize :premises (@p190))
36.05/36.27	(step-pop @p607 :rule scope :premises (@p191))
36.05/36.27	(step @p192 :rule process_scope :premises (@p607) :args (@t114))
36.05/36.27	(step @p194 :rule eq_resolve :premises (@p192 @p189))
36.05/36.27	(step @p195 :rule implies_elim :premises (@p194))
36.05/36.27	(step @p196 :rule eq_resolve :premises (@p195 @p188))
36.05/36.27	(step @p197 :rule cnf_and_neg :args (@t53))
36.05/36.27	(step @p198 :rule cnf_equiv_pos2 :args (@t116))
36.05/36.27	(step @p199 :rule reordering :premises (@p198) :args ((or @t45 @t118 @t117)))
36.05/36.27	(step @p200 :rule cnf_equiv_pos2 :args (@t124))
36.05/36.27	(step @p201 :rule reordering :premises (@p200) :args ((or @t115 @t126 @t125)))
36.05/36.27	(assume-push @p202 @t69)
36.05/36.27	(assume-push @p203 @t92)
36.05/36.27	(assume-push @p204 @t95)
36.05/36.27	(assume-push @p205 @t119)
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p206 :rule trust :premises (@p95) :args (@t97))
36.05/36.27	; trust MACRO_ARITH_SCALE_SUM_UB
36.05/36.27	(step @p207 :rule trust :premises (@p205 @p206) :args ((<= (+ @t101 @t96) @t127)))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p208 false :rule trust :premises (@p207) :args (false))
36.05/36.27	(step-pop @p608 :rule scope :premises (@p208))
36.05/36.27	(step @p209 :rule process_scope :premises (@p608) :args (false))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p211 :rule trust :premises (@p209) :args (@t128))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p212 :rule trust :premises (@p211) :args (@t120))
36.05/36.27	(step-pop @p609 :rule scope :premises (@p212))
36.05/36.27	(step @p213 :rule process_scope :premises (@p609) :args (@t120))
36.05/36.27	(assume-push @p215 @t69)
36.05/36.27	(assume-push @p216 @t92)
36.05/36.27	(step-pop @p610 :rule scope :premises (@p119))
36.05/36.27	(step-pop @p611 :rule scope :premises (@p610))
36.05/36.27	(step @p217 :rule process_scope :premises (@p611) :args (@t95))
36.05/36.27	(step @p220 :rule and_intro :premises (@p111 @p112))
36.05/36.27	(step @p221 :rule modus_ponens :premises (@p220 @p217))
36.05/36.27	(step @p222 :rule modus_ponens :premises (@p221 @p213))
36.05/36.27	(step-pop @p612 :rule scope :premises (@p222))
36.05/36.27	(step-pop @p613 :rule scope :premises (@p612))
36.05/36.27	(step @p223 :rule process_scope :premises (@p613) :args (@t120))
36.05/36.27	(step @p226 :rule implies_elim :premises (@p223))
36.05/36.27	(step @p227 :rule cnf_and_neg :args (@t129))
36.05/36.27	(step @p228 :rule resolution :premises (@p227 @p226) :args (true @t129))
36.05/36.27	; trust MACRO_SR_PRED_INTRO
36.05/36.27	(step @p229 :rule trust :premises () :args ((= (not @t120) @t119)))
36.05/36.27	; trust MACRO_SR_PRED_INTRO
36.05/36.27	(step @p230 :rule trust :premises () :args ((= (not @t122) @t121)))
36.05/36.27	(step @p231 :rule refl :args (@t123))
36.05/36.27	(step @p232 :rule nary_cong :premises (@p231 @p230 @p229) :args (or))
36.05/36.27	(step @p233 :rule cnf_and_neg :args (@t123))
36.05/36.27	(step @p234 :rule eq_resolve :premises (@p233 @p232))
36.05/36.27	(step @p235 :rule reordering :premises (@p234) :args ((or @t121 @t119 @t123)))
36.05/36.27	(step @p236 :rule refl :args (@t122))
36.05/36.27	; trust MACRO_SR_PRED_INTRO
36.05/36.27	(step @p237 :rule trust :premises () :args ((= (not @t130) @t29)))
36.05/36.27	(step @p238 :rule nary_cong :premises (@p90 @p89 @p237 @p236) :args (or))
36.05/36.27	(assume-push @p239 @t92)
36.05/36.27	(assume-push @p240 @t130)
36.05/36.27	(assume-push @p241 @t69)
36.05/36.27	(assume-push @p242 @t121)
36.05/36.27	(assume-push @p243 @t121)
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p244 :rule trust :premises (@p112) :args (@t133))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p245 :rule trust :premises (@p240) :args (@t134))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p246 :rule trust :premises (@p111) :args (@t136))
36.05/36.27	; trust MACRO_ARITH_SCALE_SUM_UB
36.05/36.27	(step @p247 :rule trust :premises (@p242 @p246 @p245 @p244) :args ((< (+ @t109 @t137 @t28 @t132) (+ @t30 @t98 1 0))))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p248 false :rule trust :premises (@p247) :args (false))
36.05/36.27	(step-pop @p614 :rule scope :premises (@p248))
36.05/36.27	(step @p249 :rule process_scope :premises (@p614) :args (false))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p251 :rule trust :premises (@p249) :args (@t138))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p252 :rule trust :premises (@p251) :args (@t122))
36.05/36.27	(step @p253 false :rule contra :premises (@p242 @p252))
36.05/36.27	(step-pop @p615 :rule scope :premises (@p253))
36.05/36.27	(step-pop @p616 :rule scope :premises (@p615))
36.05/36.27	(step-pop @p617 :rule scope :premises (@p616))
36.05/36.27	(step-pop @p618 :rule scope :premises (@p617))
36.05/36.27	(step @p254 :rule process_scope :premises (@p618) :args (false))
36.05/36.27	(assume-push @p259 @t69)
36.05/36.27	(assume-push @p260 @t92)
36.05/36.27	(assume-push @p261 @t130)
36.05/36.27	(assume-push @p262 @t121)
36.05/36.27	(step @p263 :rule and_intro :premises (@p112 @p240 @p111 @p242))
36.05/36.27	(step-pop @p619 :rule scope :premises (@p263))
36.05/36.27	(step-pop @p620 :rule scope :premises (@p619))
36.05/36.27	(step-pop @p621 :rule scope :premises (@p620))
36.05/36.27	(step-pop @p622 :rule scope :premises (@p621))
36.05/36.27	(step @p264 :rule process_scope :premises (@p622) :args (@t139))
36.05/36.27	(step @p269 :rule implies_elim :premises (@p264))
36.05/36.27	(step @p270 :rule resolution :premises (@p269 @p254) :args (true @t139))
36.05/36.27	(step @p271 :rule not_and :premises (@p270))
36.05/36.27	(step @p272 :rule eq_resolve :premises (@p271 @p238))
36.05/36.27	(step @p273 :rule reordering :premises (@p272) :args ((or @t94 @t29 @t93 @t122)))
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p274 :rule trust :premises (@p273 @p235 @p228 @p139 @p137) :args ((or @t94 @t29 @t123)))
36.05/36.27	(assume-push @p275 @t69)
36.05/36.27	(assume-push @p276 @t37)
36.05/36.27	(assume-push @p277 @t106)
36.05/36.27	(assume-push @p278 @t121)
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p279 :rule trust :premises (@p145) :args (@t108))
36.05/36.27	; trust MACRO_ARITH_SCALE_SUM_UB
36.05/36.27	(step @p280 :rule trust :premises (@p242 @p279) :args ((<= (+ @t109 @t107) @t127)))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p281 false :rule trust :premises (@p280) :args (false))
36.05/36.27	(step-pop @p623 :rule scope :premises (@p281))
36.05/36.27	(step @p282 :rule process_scope :premises (@p623) :args (false))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p284 :rule trust :premises (@p282) :args (@t138))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p285 :rule trust :premises (@p284) :args (@t122))
36.05/36.27	(step-pop @p624 :rule scope :premises (@p285))
36.05/36.27	(step @p286 :rule process_scope :premises (@p624) :args (@t122))
36.05/36.27	(assume-push @p288 @t69)
36.05/36.27	(assume-push @p289 @t37)
36.05/36.27	(step-pop @p625 :rule scope :premises (@p169))
36.05/36.27	(step-pop @p626 :rule scope :premises (@p625))
36.05/36.27	(step @p290 :rule process_scope :premises (@p626) :args (@t106))
36.05/36.27	(step @p293 :rule and_intro :premises (@p111 @p163))
36.05/36.27	(step @p294 :rule modus_ponens :premises (@p293 @p290))
36.05/36.27	(step @p295 :rule modus_ponens :premises (@p294 @p286))
36.05/36.27	(step-pop @p627 :rule scope :premises (@p295))
36.05/36.27	(step-pop @p628 :rule scope :premises (@p627))
36.05/36.27	(step @p296 :rule process_scope :premises (@p628) :args (@t122))
36.05/36.27	(step @p299 :rule implies_elim :premises (@p296))
36.05/36.27	(step @p300 :rule cnf_and_neg :args (@t140))
36.05/36.27	(step @p301 :rule resolution :premises (@p300 @p299) :args (true @t140))
36.05/36.27	(step @p302 :rule reordering :premises (@p301) :args ((or @t94 @t122 @t105)))
36.05/36.27	(step @p303 :rule refl :args (@t35))
36.05/36.27	(step @p304 :rule refl :args (@t120))
36.05/36.27	(step @p305 :rule nary_cong :premises (@p230 @p304 @p303) :args (or))
36.05/36.27	(assume-push @p306 @t122)
36.05/36.27	(assume-push @p307 @t32)
36.05/36.27	(assume-push @p308 @t119)
36.05/36.27	(assume-push @p309 @t119)
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p310 :rule trust :premises (@p306) :args (@t138))
36.05/36.27	; trust MACRO_ARITH_SCALE_SUM_UB
36.05/36.27	(step @p311 :rule trust :premises (@p205 @p307 @p310) :args ((< @t141 (+ @t30 @t98 1))))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p312 false :rule trust :premises (@p311) :args (false))
36.05/36.27	(step-pop @p629 :rule scope :premises (@p312))
36.05/36.27	(step @p313 :rule process_scope :premises (@p629) :args (false))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p315 :rule trust :premises (@p313) :args (@t128))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p316 :rule trust :premises (@p315) :args (@t120))
36.05/36.27	(step @p317 false :rule contra :premises (@p205 @p316))
36.05/36.27	(step-pop @p630 :rule scope :premises (@p317))
36.05/36.27	(step-pop @p631 :rule scope :premises (@p630))
36.05/36.27	(step-pop @p632 :rule scope :premises (@p631))
36.05/36.27	(step @p318 :rule process_scope :premises (@p632) :args (false))
36.05/36.27	(assume-push @p322 @t122)
36.05/36.27	(assume-push @p323 @t119)
36.05/36.27	(assume-push @p324 @t32)
36.05/36.27	(step @p325 :rule and_intro :premises (@p306 @p307 @p205))
36.05/36.27	(step-pop @p633 :rule scope :premises (@p325))
36.05/36.27	(step-pop @p634 :rule scope :premises (@p633))
36.05/36.27	(step-pop @p635 :rule scope :premises (@p634))
36.05/36.27	(step @p326 :rule process_scope :premises (@p635) :args (@t142))
36.05/36.27	(step @p330 :rule implies_elim :premises (@p326))
36.05/36.27	(step @p331 :rule resolution :premises (@p330 @p318) :args (true @t142))
36.05/36.27	(step @p332 :rule not_and :premises (@p331))
36.05/36.27	(step @p333 :rule eq_resolve :premises (@p332 @p305))
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p334 :rule trust :premises (@p333 @p235 @p302 @p29 @p27 @p24 @p274 @p201 @p32 @p199 @p35 @p197 @p196 @p185 @p66 @p64 @p61 @p59 @p44 @p57 @p55 @p46 @p45) :args (@t65))
36.05/36.27	(step @p335 :rule cnf_equiv_neg1 :args (@t56))
36.05/36.27	(step @p336 :rule reordering :premises (@p335) :args ((or @t55 @t48 @t56)))
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p337 :rule trust :premises (@p336 @p334 @p45) :args (@t48))
36.05/36.27	(step @p338 :rule cnf_equiv_pos1 :args (@t54))
36.05/36.27	(step @p339 :rule reordering :premises (@p338) :args ((or (not @t48) @t53 @t66)))
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p340 :rule trust :premises (@p339 @p337 @p44) :args (@t53))
36.05/36.27	(step @p341 :rule cnf_and_pos :args (@t53 1))
36.05/36.27	(step @p342 :rule reordering :premises (@p341) :args ((or @t45 @t67)))
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p343 :rule trust :premises (@p342 @p340) :args (@t45))
36.05/36.27	(step @p344 :rule cnf_equiv_pos1 :args (@t116))
36.05/36.27	(step @p345 :rule reordering :premises (@p344) :args ((or (not @t45) @t115 @t117)))
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p346 :rule trust :premises (@p345 @p343 @p35) :args (@t115))
36.05/36.27	(step @p347 :rule cnf_equiv_pos1 :args (@t124))
36.05/36.27	(step @p348 :rule reordering :premises (@p347) :args ((or @t118 @t123 @t125)))
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p349 :rule trust :premises (@p348 @p346 @p32) :args (@t123))
36.05/36.27	(step @p350 :rule cnf_and_pos :args (@t123 0))
36.05/36.27	(step @p351 :rule reordering :premises (@p350) :args ((or @t122 @t126)))
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p352 :rule trust :premises (@p351 @p349) :args (@t122))
36.05/36.27	(step @p353 :rule refl :args (@t144))
36.05/36.27	; trust MACRO_SR_PRED_INTRO
36.05/36.27	(step @p354 :rule trust :premises () :args ((= (not @t94) @t69)))
36.05/36.27	(step @p355 :rule nary_cong :premises (@p354 @p230 @p140 @p353) :args (or))
36.05/36.27	(assume-push @p356 @t37)
36.05/36.27	(assume-push @p357 @t143)
36.05/36.27	(assume-push @p358 @t122)
36.05/36.27	(assume-push @p359 @t94)
36.05/36.27	(step @p360 :rule symm :premises (@p163))
36.05/36.27	(step @p361 :rule symm :premises (@p360))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p362 :rule trust :premises (@p306) :args (@t138))
36.05/36.27	(step @p363 :rule int_tight_ub :premises (@p362))
36.05/36.27	(step @p364 :rule arith_trichotomy :premises (@p357 @p363))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p365 :rule trust :premises (@p364) :args (@t106))
36.05/36.27	(step @p366 :rule symm :premises (@p365))
36.05/36.27	(step @p367 :rule trans :premises (@p366 @p361))
36.05/36.27	(step @p368 :rule true_intro :premises (@p367))
36.05/36.27	(step @p369 :rule false_intro :premises (@p359))
36.05/36.27	(step @p370 :rule symm :premises (@p369))
36.05/36.27	(step @p371 :rule trans :premises (@p370 @p368))
36.05/36.27	(step-pop @p636 :rule scope :premises (@p371))
36.05/36.27	(step-pop @p637 :rule scope :premises (@p636))
36.05/36.27	(step-pop @p638 :rule scope :premises (@p637))
36.05/36.27	(step-pop @p639 :rule scope :premises (@p638))
36.05/36.27	(step @p372 :rule process_scope :premises (@p639) :args ((= false true)))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p377 :rule trust :premises (@p372) :args ((not @t145)))
36.05/36.27	(assume-push @p378 @t94)
36.05/36.27	(assume-push @p379 @t122)
36.05/36.27	(assume-push @p380 @t37)
36.05/36.27	(assume-push @p381 @t143)
36.05/36.27	(step @p382 :rule and_intro :premises (@p163 @p357 @p306 @p359))
36.05/36.27	(step-pop @p640 :rule scope :premises (@p382))
36.05/36.27	(step-pop @p641 :rule scope :premises (@p640))
36.05/36.27	(step-pop @p642 :rule scope :premises (@p641))
36.05/36.27	(step-pop @p643 :rule scope :premises (@p642))
36.05/36.27	(step @p383 :rule process_scope :premises (@p643) :args (@t145))
36.05/36.27	(step @p388 :rule implies_elim :premises (@p383))
36.05/36.27	(step @p389 :rule resolution :premises (@p388 @p377) :args (true @t145))
36.05/36.27	(step @p390 :rule not_and :premises (@p389))
36.05/36.27	(step @p391 :rule eq_resolve :premises (@p390 @p355))
36.05/36.27	(assume-push @p392 @t40)
36.05/36.27	(step @p393 :rule instantiate :premises (@p31) :args (@t147))
36.05/36.27	(step-pop @p644 :rule scope :premises (@p393))
36.05/36.27	(step @p394 :rule process_scope :premises (@p644) :args ((= @t149 (and (not (>= (+ @t27 @t148) 1)) (not (>= (+ @t26 @t148) 1))))))
36.05/36.27	; trust MACRO_SR_PRED_ELIM
36.05/36.27	(step @p396 :rule trust :premises (@p394) :args ((=> @t40 @t153)))
36.05/36.27	(step @p397 :rule implies_elim :premises (@p396))
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p398 :rule trust :premises (@p397 @p31) :args (@t153))
36.05/36.27	(step @p399 :rule instantiate :premises (@p34) :args (@t147))
36.05/36.27	(step @p400 :rule cnf_and_pos :args (@t53 0))
36.05/36.27	(step @p401 :rule reordering :premises (@p400) :args ((or @t52 @t67)))
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p402 :rule trust :premises (@p401 @p340) :args (@t52))
36.05/36.27	(assume-push @p403 @t52)
36.05/36.27	(step @p404 :rule instantiate :premises (@p403) :args ((@list @t146)))
36.05/36.27	(step-pop @p645 :rule scope :premises (@p404))
36.05/36.27	(step @p405 :rule process_scope :premises (@p645) :args ((or @t155 (>= (+ @t146 @t49) 0))))
36.05/36.27	; trust MACRO_SR_PRED_ELIM
36.05/36.27	(step @p407 :rule trust :premises (@p405) :args ((=> @t52 @t155)))
36.05/36.27	(step @p408 :rule implies_elim :premises (@p407))
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p409 :rule trust :premises (@p408 @p402) :args (@t155))
36.05/36.27	(step @p410 :rule cnf_equiv_pos2 :args (@t156))
36.05/36.27	(step @p411 :rule reordering :premises (@p410) :args ((or @t154 @t157 (not @t156))))
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p412 :rule trust :premises (@p411 @p409 @p399) :args (@t157))
36.05/36.27	(step @p413 :rule cnf_equiv_pos2 :args (@t153))
36.05/36.27	(step @p414 :rule reordering :premises (@p413) :args ((or @t149 @t158 (not @t153))))
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p415 :rule trust :premises (@p414 @p412 @p398) :args (@t158))
36.05/36.27	; trust MACRO_SR_PRED_INTRO
36.05/36.27	(step @p416 :rule trust :premises () :args ((= (not @t151) @t150)))
36.05/36.27	; trust MACRO_SR_PRED_INTRO
36.05/36.27	(step @p417 :rule trust :premises () :args ((= (not @t144) @t143)))
36.05/36.27	(step @p418 :rule refl :args (@t152))
36.05/36.27	(step @p419 :rule nary_cong :premises (@p418 @p417 @p416) :args (or))
36.05/36.27	(step @p420 :rule cnf_and_neg :args (@t152))
36.05/36.27	(step @p421 :rule eq_resolve :premises (@p420 @p419))
36.05/36.27	(step @p422 :rule reordering :premises (@p421) :args ((or @t143 @t150 @t152)))
36.05/36.27	(step @p423 :rule refl :args (@t151))
36.05/36.27	(step @p424 :rule refl :args (@t130))
36.05/36.27	(step @p425 :rule nary_cong :premises (@p424 @p230 @p423) :args (or))
36.05/36.27	(assume-push @p426 @t122)
36.05/36.27	(assume-push @p427 @t29)
36.05/36.27	(assume-push @p428 @t150)
36.05/36.27	(assume-push @p429 @t150)
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p430 :rule trust :premises (@p306) :args (@t138))
36.05/36.27	; trust MACRO_ARITH_SCALE_SUM_UB
36.05/36.27	(step @p431 :rule trust :premises (@p428 @p11 @p430) :args ((< @t141 @t99)))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p432 false :rule trust :premises (@p431) :args (false))
36.05/36.27	(step-pop @p646 :rule scope :premises (@p432))
36.05/36.27	(step @p433 :rule process_scope :premises (@p646) :args (false))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p435 :rule trust :premises (@p433) :args (@t159))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p436 :rule trust :premises (@p435) :args (@t151))
36.05/36.27	(step @p437 false :rule contra :premises (@p428 @p436))
36.05/36.27	(step-pop @p647 :rule scope :premises (@p437))
36.05/36.27	(step-pop @p648 :rule scope :premises (@p647))
36.05/36.27	(step-pop @p649 :rule scope :premises (@p648))
36.05/36.27	(step @p438 :rule process_scope :premises (@p649) :args (false))
36.05/36.27	(assume-push @p442 @t29)
36.05/36.27	(assume-push @p443 @t122)
36.05/36.27	(assume-push @p444 @t150)
36.05/36.27	(step @p445 :rule and_intro :premises (@p306 @p11 @p428))
36.05/36.27	(step-pop @p650 :rule scope :premises (@p445))
36.05/36.27	(step-pop @p651 :rule scope :premises (@p650))
36.05/36.27	(step-pop @p652 :rule scope :premises (@p651))
36.05/36.27	(step @p446 :rule process_scope :premises (@p652) :args (@t160))
36.05/36.27	(step @p450 :rule implies_elim :premises (@p446))
36.05/36.27	(step @p451 :rule resolution :premises (@p450 @p438) :args (true @t160))
36.05/36.27	(step @p452 :rule not_and :premises (@p451))
36.05/36.27	(step @p453 :rule eq_resolve :premises (@p452 @p425))
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p454 :rule trust :premises (@p453 @p352 @p422 @p415 @p391 @p352 @p29 @p27 @p24) :args ((or @t69 @t130)))
36.05/36.27	(step @p455 :rule cnf_and_pos :args (@t123 1))
36.05/36.27	(step @p456 :rule reordering :premises (@p455) :args ((or @t120 @t126)))
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p457 :rule trust :premises (@p456 @p349) :args (@t120))
36.05/36.27	(assume-push @p458 @t92)
36.05/36.27	(assume-push @p459 @t120)
36.05/36.27	(assume-push @p460 @t162)
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p461 :rule trust :premises (@p459) :args (@t128))
36.05/36.27	(step @p462 :rule int_tight_ub :premises (@p461))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p463 :rule trust :premises (@p112) :args (@t133))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p464 :rule trust :premises (@p460) :args ((< @t135 0)))
36.05/36.27	; trust MACRO_ARITH_SCALE_SUM_UB
36.05/36.27	(step @p465 :rule trust :premises (@p464 @p463 @p462) :args ((< (+ @t135 (* -1 @t132) @t96) (+ 0 @t98 0))))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p466 false :rule trust :premises (@p465) :args (false))
36.05/36.27	(step-pop @p653 :rule scope :premises (@p466))
36.05/36.27	(step-pop @p654 :rule scope :premises (@p653))
36.05/36.27	(step-pop @p655 :rule scope :premises (@p654))
36.05/36.27	(step @p467 :rule process_scope :premises (@p655) :args (false))
36.05/36.27	(step @p471 :rule not_and :premises (@p467))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p472 :rule trust :premises (@p471) :args ((or @t93 @t119 @t161)))
36.05/36.27	(assume-push @p473 @t94)
36.05/36.27	(assume-push @p474 @t161)
36.05/36.27	(assume-push @p475 @t92)
36.05/36.27	(assume-push @p476 @t150)
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p477 :rule trust :premises (@p112) :args (@t133))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p478 :rule trust :premises (@p359) :args ((not @t136)))
36.05/36.27	(step @p479 :rule arith_trichotomy :premises (@p478 @p474))
36.05/36.27	(step @p480 :rule int_tight_lb :premises (@p479))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p481 :rule trust :premises (@p428) :args (@t150))
36.05/36.27	; trust MACRO_ARITH_SCALE_SUM_UB
36.05/36.27	(step @p482 :rule trust :premises (@p481 @p480 @p477) :args ((<= (+ @t101 @t137 @t132) (+ @t98 @t30 0))))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p483 false :rule trust :premises (@p482) :args (false))
36.05/36.27	(step-pop @p656 :rule scope :premises (@p483))
36.05/36.27	(step-pop @p657 :rule scope :premises (@p656))
36.05/36.27	(step-pop @p658 :rule scope :premises (@p657))
36.05/36.27	(step-pop @p659 :rule scope :premises (@p658))
36.05/36.27	(step @p484 :rule process_scope :premises (@p659) :args (false))
36.05/36.27	(step @p489 :rule not_and :premises (@p484))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p490 :rule trust :premises (@p489) :args ((or @t69 @t162 @t93 @t151)))
36.05/36.27	(step @p491 :rule reordering :premises (@p490) :args ((or @t69 @t93 @t162 @t151)))
36.05/36.27	(step @p492 :rule nary_cong :premises (@p237 @p353 @p416) :args (or))
36.05/36.27	(assume-push @p493 @t143)
36.05/36.27	(assume-push @p494 @t130)
36.05/36.27	(assume-push @p495 @t151)
36.05/36.27	(assume-push @p496 @t163)
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p497 :rule trust :premises (@p240) :args (@t134))
36.05/36.27	; trust MACRO_ARITH_SCALE_SUM_UB
36.05/36.27	(step @p498 :rule trust :premises (@p496 @p497 @p357) :args ((< (+ @t96 @t28 @t109) (+ -1 1 @t98))))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p499 false :rule trust :premises (@p498) :args (false))
36.05/36.27	(step-pop @p660 :rule scope :premises (@p499))
36.05/36.27	(step @p500 :rule process_scope :premises (@p660) :args (false))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p502 :rule trust :premises (@p500) :args ((> @t96 -1)))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p503 :rule trust :premises (@p502) :args ((not @t163)))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p504 :rule trust :premises (@p495) :args (@t159))
36.05/36.27	(step @p505 :rule int_tight_ub :premises (@p504))
36.05/36.27	(step @p506 false :rule contra :premises (@p505 @p503))
36.05/36.27	(step-pop @p661 :rule scope :premises (@p506))
36.05/36.27	(step-pop @p662 :rule scope :premises (@p661))
36.05/36.27	(step-pop @p663 :rule scope :premises (@p662))
36.05/36.27	(step @p507 :rule process_scope :premises (@p663) :args (false))
36.05/36.27	(assume-push @p511 @t130)
36.05/36.27	(assume-push @p512 @t143)
36.05/36.27	(assume-push @p513 @t151)
36.05/36.27	(step @p514 :rule and_intro :premises (@p357 @p240 @p495))
36.05/36.27	(step-pop @p664 :rule scope :premises (@p514))
36.05/36.27	(step-pop @p665 :rule scope :premises (@p664))
36.05/36.27	(step-pop @p666 :rule scope :premises (@p665))
36.05/36.27	(step @p515 :rule process_scope :premises (@p666) :args (@t164))
36.05/36.27	(step @p519 :rule implies_elim :premises (@p515))
36.05/36.27	(step @p520 :rule resolution :premises (@p519 @p507) :args (true @t164))
36.05/36.27	(step @p521 :rule not_and :premises (@p520))
36.05/36.27	(step @p522 :rule eq_resolve :premises (@p521 @p492))
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p523 :rule trust :premises (@p522 @p422 @p415 @p491 @p472 @p457 @p139 @p137 @p454) :args (@t69))
36.05/36.27	(step @p524 :rule cnf_equiv_pos2 :args (@t70))
36.05/36.27	(step @p525 :rule reordering :premises (@p524) :args ((or @t59 @t94 @t71)))
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p526 :rule trust :premises (@p525 @p523 @p64) :args (@t59))
36.05/36.27	(step @p527 :rule cnf_equiv_pos2 :args (@t63))
36.05/36.27	(step @p528 :rule reordering :premises (@p527) :args ((or @t55 @t68 @t64)))
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p529 :rule trust :premises (@p528 @p334 @p55) :args (@t68))
36.05/36.27	(step @p530 :rule cnf_and_neg :args (@t62))
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p531 :rule trust :premises (@p530 @p529 @p526) :args (@t165))
36.05/36.27	(step @p532 :rule refl :args (@t173))
36.05/36.27	; trust MACRO_SR_PRED_INTRO
36.05/36.27	(step @p533 :rule trust :premises () :args ((= (not @t165) @t61)))
36.05/36.27	(step @p534 :rule nary_cong :premises (@p533 @p532) :args (or))
36.05/36.27	; trust MACRO_REWRITE
36.05/36.27	(step @p535 :rule trust :premises () :args ((= (=> @t165 @t174) (=> @t165 @t173))))
36.05/36.27	(assume-push @p536 @t165)
36.05/36.27	(step @p537 :rule skolemize :premises (@p536))
36.05/36.27	(step-pop @p667 :rule scope :premises (@p537))
36.05/36.27	(step @p538 :rule process_scope :premises (@p667) :args (@t174))
36.05/36.27	(step @p540 :rule eq_resolve :premises (@p538 @p535))
36.05/36.27	(step @p541 :rule implies_elim :premises (@p540))
36.05/36.27	(step @p542 :rule eq_resolve :premises (@p541 @p534))
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p543 :rule trust :premises (@p542 @p531) :args (@t173))
36.05/36.27	; trust MACRO_SR_PRED_INTRO
36.05/36.27	(step @p544 :rule trust :premises () :args ((= (not @t169) @t168)))
36.05/36.27	(step @p545 :rule refl :args (@t172))
36.05/36.27	(step @p546 :rule nary_cong :premises (@p545 @p544) :args (or))
36.05/36.27	(step @p547 :rule cnf_or_neg :args (@t172 1))
36.05/36.27	(step @p548 :rule eq_resolve :premises (@p547 @p546))
36.05/36.27	(step @p549 :rule reordering :premises (@p548) :args ((or @t168 @t172)))
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p550 :rule trust :premises (@p549 @p543) :args (@t168))
36.05/36.27	(step @p551 :rule instantiate :premises (@p63) :args ((@list @t27 @t26 @t166)))
36.05/36.27	; trust MACRO_SR_PRED_INTRO
36.05/36.27	(step @p552 :rule trust :premises () :args ((= (not @t171) @t170)))
36.05/36.27	(step @p553 :rule nary_cong :premises (@p545 @p552) :args (or))
36.05/36.27	(step @p554 :rule cnf_or_neg :args (@t172 0))
36.05/36.27	(step @p555 :rule eq_resolve :premises (@p554 @p553))
36.05/36.27	(step @p556 :rule reordering :premises (@p555) :args ((or @t170 @t172)))
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p557 :rule trust :premises (@p556 @p543) :args (@t170))
36.05/36.27	(step @p558 :rule cnf_equiv_pos1 :args (@t176))
36.05/36.27	(step @p559 :rule reordering :premises (@p558) :args ((or @t171 @t175 (not @t176))))
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p560 :rule trust :premises (@p559 @p557 @p551) :args (@t175))
36.05/36.27	; WARNING: add trust step for TRUST
36.05/36.27	; trust TRUST
36.05/36.27	(step @p561 :rule trust :premises () :args ((not @t179)))
36.05/36.27	(assume-push @p562 @t69)
36.05/36.27	(assume-push @p563 @t168)
36.05/36.27	(assume-push @p564 @t175)
36.05/36.27	(assume-push @p565 @t168)
36.05/36.27	(assume-push @p566 @t177)
36.05/36.27	; trust MACRO_ARITH_SCALE_SUM_UB
36.05/36.27	(step @p567 :rule trust :premises (@p566 @p563) :args ((<= (+ @t41 (* -1 @t167)) (+ @t166 @t30))))
36.05/36.27	; trust MACRO_SR_PRED_TRANSFORM
36.05/36.27	(step @p568 false :rule trust :premises (@p567) :args (false))
36.05/36.27	(step-pop @p668 :rule scope :premises (@p568))
36.05/36.27	(step @p569 :rule process_scope :premises (@p668) :args (false))
36.05/36.27	(step-pop @p669 :rule scope :premises (@p569))
36.05/36.27	(step @p571 :rule process_scope :premises (@p669) :args (@t178))
36.05/36.27	(step @p573 :rule modus_ponens :premises (@p563 @p571))
36.05/36.27	(step @p574 :rule and_intro :premises (@p564 @p111 @p573))
36.05/36.27	(step-pop @p670 :rule scope :premises (@p574))
36.05/36.27	(step-pop @p671 :rule scope :premises (@p670))
36.05/36.27	(step-pop @p672 :rule scope :premises (@p671))
36.05/36.27	(step @p575 :rule process_scope :premises (@p672) :args (@t179))
36.05/36.27	(step @p579 :rule implies_elim :premises (@p575))
36.05/36.27	(step @p580 :rule resolution :premises (@p579 @p561) :args (true @t179))
36.05/36.27	(step @p581 :rule not_and :premises (@p580))
36.05/36.27	; trust MACRO_RESOLUTION_TRUST
36.05/36.27	(step @p582 false :rule trust :premises (@p581 @p560 @p550 @p523) :args (false))
36.05/36.27	
36.05/36.27	% SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.0kOE3pm2M5/cvc5---1.0.5_2701.smt2
36.05/36.27	% cvc5---1.0.5 exiting
36.05/36.27	% cvc5---1.0.5 exiting
36.05/36.27	EOF