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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : DAT033_1 : TPTP v9.2.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n005.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 08:14:23 AM UTC 2026

% Result   : Theorem 0.35s 0.81s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : DAT033_1 : TPTP v9.2.1. Released v5.0.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n005.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Mon Jun  1 22:26:33 EDT 2026
% 0.17/0.36  % CPUTime  : 
% 0.27/0.51  %----Proving TF0_ARI
% 0.35/0.81  --- Run --finite-model-find --decision=internal at 45...
% 0.35/0.81  % SZS status Theorem
% 0.35/0.81  % SZS output start Proof
% 0.35/0.81  (
% 0.35/0.81  (declare-sort tptp.collection 0)
% 0.35/0.81  (declare-const tptp.count (-> tptp.collection Int))
% 0.35/0.81  (declare-const tptp.remove (-> Int tptp.collection tptp.collection))
% 0.35/0.81  (declare-const tptp.add (-> Int tptp.collection tptp.collection))
% 0.35/0.81  (declare-const tptp.in (-> Int tptp.collection Bool))
% 0.35/0.81  (declare-const tptp.empty tptp.collection)
% 0.35/0.81  (define @t1 () (@var "U" Int))
% 0.35/0.81  (define @t2 () (@var "W" tptp.collection))
% 0.35/0.81  (define @t3 () (@var "V" Int))
% 0.35/0.81  (define @t4 () (@var "Y" tptp.collection))
% 0.35/0.81  (define @t5 () (@var "X" Int))
% 0.35/0.81  (define @t6 () (@var "X1" tptp.collection))
% 0.35/0.81  (define @t7 () (@var "X2" Int))
% 0.35/0.81  (define @t8 () (@var "Z" Int))
% 0.35/0.81  (define @t9 () (@var "X4" tptp.collection))
% 0.35/0.81  (define @t10 () (@var "X5" Int))
% 0.35/0.81  (define @t11 () (@var "X3" Int))
% 0.35/0.81  (define @t12 () (@var "X6" tptp.collection))
% 0.35/0.81  (define @t13 () (@var "X7" tptp.collection))
% 0.35/0.81  (define @t14 () (@var "X9" tptp.collection))
% 0.35/0.81  (define @t15 () (tptp.count @t14))
% 0.35/0.81  (define @t16 () (+ @t15 1))
% 0.35/0.81  (define @t17 () (@var "X8" Int))
% 0.35/0.81  (define @t18 () (tptp.count (tptp.add @t17 @t14)))
% 0.35/0.81  (define @t19 () (= @t18 @t16))
% 0.35/0.81  (define @t20 () (not (tptp.in @t17 @t14)))
% 0.35/0.81  (define @t21 () (= @t20 @t19))
% 0.35/0.81  (define @t22 () (@list @t17 @t14))
% 0.35/0.81  (define @t23 () (forall @t22 @t21))
% 0.35/0.81  (define @t24 () (@var "X11" tptp.collection))
% 0.35/0.81  (define @t25 () (@var "X10" Int))
% 0.35/0.81  (define @t26 () (forall (@list @t25 @t24) (= (tptp.in @t25 @t24) (= (tptp.count (tptp.add @t25 @t24)) (tptp.count @t24)))))
% 0.35/0.81  (define @t27 () (@var "X13" tptp.collection))
% 0.35/0.81  (define @t28 () (tptp.count @t27))
% 0.35/0.81  (define @t29 () (- @t28 1))
% 0.35/0.81  (define @t30 () (@var "X12" Int))
% 0.35/0.81  (define @t31 () (tptp.count (tptp.remove @t30 @t27)))
% 0.35/0.81  (define @t32 () (= @t31 @t29))
% 0.35/0.81  (define @t33 () (tptp.in @t30 @t27))
% 0.35/0.81  (define @t34 () (= @t33 @t32))
% 0.35/0.81  (define @t35 () (forall (@list @t30 @t27) @t34))
% 0.35/0.81  (define @t36 () (@var "X15" tptp.collection))
% 0.35/0.81  (define @t37 () (@var "X14" Int))
% 0.35/0.81  (define @t38 () (forall (@list @t37 @t36) (= (not (tptp.in @t37 @t36)) (= (tptp.count (tptp.remove @t37 @t36)) (tptp.count @t36)))))
% 0.35/0.81  (define @t39 () (@var "X17" tptp.collection))
% 0.35/0.81  (define @t40 () (@var "X16" Int))
% 0.35/0.81  (define @t41 () (= @t39 (tptp.add @t40 (tptp.remove @t40 @t39))))
% 0.35/0.81  (define @t42 () (tptp.in @t40 @t39))
% 0.35/0.81  (define @t43 () (forall (@list @t40 @t39) (=> @t42 @t41)))
% 0.35/0.81  (define @t44 () (@var "U" tptp.collection))
% 0.35/0.81  (define @t45 () (= (tptp.count (tptp.remove 5 @t44)) (tptp.count (tptp.remove 3 @t44))))
% 0.35/0.81  (define @t46 () (= (tptp.count (tptp.add 5 @t44)) (tptp.count (tptp.add 3 @t44))))
% 0.35/0.81  (define @t47 () (@list @t44))
% 0.35/0.81  (define @t48 () (forall @t47 (=> @t46 @t45)))
% 0.35/0.81  (define @t49 () (not @t48))
% 0.35/0.81  (define @t50 () (@quantifiers_skolemize (forall @t47 (or (not @t46) @t45)) 0))
% 0.35/0.81  (define @t51 () (tptp.remove 3 @t50))
% 0.35/0.81  (define @t52 () (tptp.count @t51))
% 0.35/0.81  (define @t53 () (tptp.count (tptp.remove 5 @t50)))
% 0.35/0.81  (define @t54 () (= @t53 @t52))
% 0.35/0.81  (define @t55 () (tptp.count (tptp.add 3 @t50)))
% 0.35/0.81  (define @t56 () (tptp.count (tptp.add 5 @t50)))
% 0.35/0.81  (define @t57 () (= @t56 @t55))
% 0.35/0.81  (define @t58 () (not @t57))
% 0.35/0.81  (define @t59 () (or @t58 @t54))
% 0.35/0.81  (define @t60 () (not @t54))
% 0.35/0.81  (define @t61 () (@list true))
% 0.35/0.81  (define @t62 () (@list @t59))
% 0.35/0.81  (define @t63 () (tptp.in 5 @t50))
% 0.35/0.81  (define @t64 () (tptp.count @t50))
% 0.35/0.81  (define @t65 () (= @t56 @t64))
% 0.35/0.81  (define @t66 () (= @t63 @t65))
% 0.35/0.81  (define @t67 () (@list 5 @t50))
% 0.35/0.81  (define @t68 () (= @t65 @t63))
% 0.35/0.81  (define @t69 () (@list false))
% 0.35/0.81  (define @t70 () (@list @t26))
% 0.35/0.81  (define @t71 () (not @t63))
% 0.35/0.81  (define @t72 () (= @t53 @t64))
% 0.35/0.81  (define @t73 () (= @t71 @t72))
% 0.35/0.81  (define @t74 () (= @t72 @t71))
% 0.35/0.81  (define @t75 () (@list @t38))
% 0.35/0.81  (define @t76 () (not @t74))
% 0.35/0.81  (define @t77 () (not @t72))
% 0.35/0.81  (define @t78 () (not @t68))
% 0.35/0.81  (define @t79 () (not @t65))
% 0.35/0.81  (define @t80 () (= @t55 @t64))
% 0.35/0.81  (define @t81 () (not @t80))
% 0.35/0.81  (define @t82 () (and @t57 @t79))
% 0.35/0.81  (define @t83 () (tptp.in 3 @t50))
% 0.35/0.81  (define @t84 () (= @t83 @t80))
% 0.35/0.81  (define @t85 () (@list 3 @t50))
% 0.35/0.81  (define @t86 () (= @t80 @t83))
% 0.35/0.81  (define @t87 () (not @t86))
% 0.35/0.81  (define @t88 () (not @t83))
% 0.35/0.81  (define @t89 () (= @t52 @t64))
% 0.35/0.81  (define @t90 () (= @t88 @t89))
% 0.35/0.81  (define @t91 () (= @t89 @t88))
% 0.35/0.81  (define @t92 () (not @t91))
% 0.35/0.81  (define @t93 () (not @t89))
% 0.35/0.81  (define @t94 () (not @t60))
% 0.35/0.81  (define @t95 () (and @t72 @t89 @t60))
% 0.35/0.81  (define @t96 () (@list true false))
% 0.35/0.81  (define @t97 () (@list false false))
% 0.35/0.81  (define @t98 () (and @t57 @t81))
% 0.35/0.81  (define @t99 () (tptp.add 3 @t51))
% 0.35/0.81  (define @t100 () (= @t50 @t99))
% 0.35/0.81  (define @t101 () (or @t88 @t100))
% 0.35/0.81  (define @t102 () (+ 1 @t15))
% 0.35/0.81  (define @t103 () (tptp.count @t99))
% 0.35/0.81  (define @t104 () (+ -1 @t103))
% 0.35/0.81  (define @t105 () (- @t52 @t104))
% 0.35/0.81  (define @t106 () (+ 1 @t52))
% 0.35/0.81  (define @t107 () (= @t52 @t104))
% 0.35/0.81  (define @t108 () (= @t103 @t106))
% 0.35/0.81  (define @t109 () (tptp.in 3 @t51))
% 0.35/0.81  (define @t110 () (not @t109))
% 0.35/0.81  (define @t111 () (= @t110 @t108))
% 0.35/0.81  (define @t112 () (forall @t22 (= @t20 (= @t18 @t102))))
% 0.35/0.81  (define @t113 () (@list 3 @t51))
% 0.35/0.81  (define @t114 () (= @t110 @t107))
% 0.35/0.81  (define @t115 () (= @t52 @t103))
% 0.35/0.81  (define @t116 () (= @t103 @t52))
% 0.35/0.81  (define @t117 () (= @t109 @t116))
% 0.35/0.81  (define @t118 () (= @t109 @t115))
% 0.35/0.81  (define @t119 () (not @t115))
% 0.35/0.81  (define @t120 () (not @t100))
% 0.35/0.81  (define @t121 () (= @t56 @t103))
% 0.35/0.81  (define @t122 () (and @t93 @t65 @t100))
% 0.35/0.81  (define @t123 () (not @t114))
% 0.35/0.81  (define @t124 () (* -1 1))
% 0.35/0.81  (define @t125 () (+ @t28 @t124))
% 0.35/0.81  (define @t126 () (+ -1 @t64))
% 0.35/0.81  (define @t127 () (= @t53 @t126))
% 0.35/0.81  (define @t128 () (= @t63 @t127))
% 0.35/0.81  (define @t129 () (* -1 @t64))
% 0.35/0.81  (define @t130 () (+ @t53 @t129))
% 0.35/0.81  (define @t131 () (>= @t130 0))
% 0.35/0.81  (define @t132 () (* -1 0))
% 0.35/0.81  (define @t133 () (+ @t132 -1))
% 0.35/0.81  (define @t134 () (* 0 @t53))
% 0.35/0.81  (define @t135 () (= @t134 0))
% 0.35/0.81  (define @t136 () (* 0 @t64))
% 0.35/0.81  (define @t137 () (= @t136 0))
% 0.35/0.81  (define @t138 () (+ @t136 @t134))
% 0.35/0.81  (define @t139 () (* -1 @t130))
% 0.35/0.81  (define @t140 () (+ @t139 @t130))
% 0.35/0.81  (define @t141 () (= (* 1 (- @t130 -1)) (* 1 (- @t53 @t126))))
% 0.35/0.81  (define @t142 () (= @t130 -1))
% 0.35/0.81  (define @t143 () (= @t142 @t127))
% 0.35/0.81  (define @t144 () (< -1 0))
% 0.35/0.81  (define @t145 () (not @t131))
% 0.35/0.81  (define @t146 () (not @t127))
% 0.35/0.81  (define @t147 () (and @t65 @t100))
% 0.35/0.81  (define @t148 () (* -1 @t52))
% 0.35/0.81  (define @t149 () (+ @t53 @t148))
% 0.35/0.81  (define @t150 () (>= @t149 0))
% 0.35/0.81  (define @t151 () (not @t107))
% 0.35/0.81  (define @t152 () (not @t121))
% 0.35/0.81  (define @t153 () (not @t150))
% 0.35/0.81  (define @t154 () (not true))
% 0.35/0.81  (define @t155 () (>= 0 0))
% 0.35/0.81  (define @t156 () (* -1 -1))
% 0.35/0.81  (define @t157 () (+ 0 @t156 @t132 0 -1))
% 0.35/0.81  (define @t158 () (* 0 @t56))
% 0.35/0.81  (define @t159 () (= @t158 0))
% 0.35/0.81  (define @t160 () (* 0 @t103))
% 0.35/0.81  (define @t161 () (= @t160 0))
% 0.35/0.81  (define @t162 () (+ @t160 @t136 @t148 @t52 @t134 @t158))
% 0.35/0.81  (define @t163 () (* -1 @t103))
% 0.35/0.81  (define @t164 () (+ @t52 @t163))
% 0.35/0.81  (define @t165 () (+ @t56 @t129))
% 0.35/0.81  (define @t166 () (+ @t56 @t163))
% 0.35/0.81  (define @t167 () (+ @t149 @t139 (* -1 @t166) @t165 @t164))
% 0.35/0.81  (define @t168 () (>= @t167 @t157))
% 0.35/0.81  (define @t169 () (= (* 1 (- @t164 -1)) (* 1 @t105)))
% 0.35/0.81  (define @t170 () (= @t164 -1))
% 0.35/0.81  (define @t171 () (= @t170 @t107))
% 0.35/0.81  (define @t172 () (= (* 1 (- @t165 0)) (* 1 (- @t56 @t64))))
% 0.35/0.81  (define @t173 () (= @t165 0))
% 0.35/0.81  (define @t174 () (= @t173 @t65))
% 0.35/0.81  (define @t175 () (= @t166 0))
% 0.35/0.81  (define @t176 () (= (* 1 (- @t166 0)) (* 1 (- @t56 @t103))))
% 0.35/0.81  (define @t177 () (= @t175 @t121))
% 0.35/0.81  (define @t178 () (>= @t149 1))
% 0.35/0.81  (define @t179 () (+ @t124 0 @t132 @t156 0))
% 0.35/0.81  (define @t180 () (+ @t160 @t136 @t52 @t148 @t134 @t158))
% 0.35/0.81  (define @t181 () (+ (* -1 @t149) @t166 (* -1 @t165) (* -1 @t164) @t130))
% 0.35/0.81  (define @t182 () (>= @t181 @t179))
% 0.35/0.81  (define @t183 () (= @t149 0))
% 0.35/0.81  (define @t184 () (and @t145 @t107 @t65 @t121 @t60 @t150))
% 0.35/0.81  (assume @p1 (forall (@list @t1) (not (tptp.in @t1 tptp.empty))))
% 0.35/0.81  (assume @p2 (forall (@list @t3 @t2) (tptp.in @t3 (tptp.add @t3 @t2))))
% 0.35/0.81  (assume @p3 (forall (@list @t5 @t4) (not (tptp.in @t5 (tptp.remove @t5 @t4)))))
% 0.35/0.81  (assume @p4 (forall (@list @t8 @t6 @t7) (= (or (tptp.in @t8 @t6) (= @t8 @t7)) (tptp.in @t8 (tptp.add @t7 @t6)))))
% 0.35/0.81  (assume @p5 (forall (@list @t11 @t9 @t10) (= (and (tptp.in @t11 @t9) (not (= @t11 @t10))) (tptp.in @t11 (tptp.remove @t10 @t9)))))
% 0.35/0.81  (assume @p6 (forall (@list @t12) (>= (tptp.count @t12) 0)))
% 0.35/0.81  (assume @p7 (forall (@list @t13) (= (= @t13 tptp.empty) (= (tptp.count @t13) 0))))
% 0.35/0.81  (assume @p8 @t23)
% 0.35/0.81  (assume @p9 @t26)
% 0.35/0.81  (assume @p10 @t35)
% 0.35/0.81  (assume @p11 @t38)
% 0.35/0.81  (assume @p12 @t43)
% 0.35/0.81  (assume @p13 @t49)
% 0.35/0.81  (assume @p14 true)
% 0.35/0.81  (step @p15 :rule bool-impl-elim :args (@t46 @t45))
% 0.35/0.81  (step @p16 :rule cong :premises (@p15) :args (@t48))
% 0.35/0.81  (step @p17 :rule cong :premises (@p16) :args (@t49))
% 0.35/0.81  (step @p18 :rule eq_resolve :premises (@p13 @p17))
% 0.35/0.81  (step @p19 :rule skolemize :premises (@p18))
% 0.35/0.81  (step @p20 :rule cnf_or_neg :args (@t59 1))
% 0.35/0.81  (step @p21 :rule chain_m_resolution :premises (@p20 @p19) :args (@t60 @t61 @t62))
% 0.35/0.81  (step @p22 :rule eq-symm :args (@t63 @t65))
% 0.35/0.81  (step @p23 :rule refl :args (@t26))
% 0.35/0.81  (step @p24 :rule cong :premises (@p23 @p22) :args ((=> @t26 @t66)))
% 0.35/0.81  (assume-push @p498 @t26)
% 0.35/0.81  (step @p26 :rule instantiate :premises (@p9) :args (@t67))
% 0.35/0.81  (step-pop @p499 :rule scope :premises (@p26))
% 0.35/0.81  (step @p27 :rule process_scope :premises (@p499) :args (@t66))
% 0.35/0.81  (step @p29 :rule eq_resolve :premises (@p27 @p24))
% 0.35/0.81  (step @p30 :rule implies_elim :premises (@p29))
% 0.35/0.81  (step @p31 :rule chain_m_resolution :premises (@p30 @p9) :args (@t68 @t69 @t70))
% 0.35/0.81  (step @p32 :rule eq-symm :args (@t71 @t72))
% 0.35/0.81  (step @p33 :rule refl :args (@t38))
% 0.35/0.81  (step @p34 :rule cong :premises (@p33 @p32) :args ((=> @t38 @t73)))
% 0.35/0.81  (assume-push @p500 @t38)
% 0.35/0.81  (step @p36 :rule instantiate :premises (@p11) :args (@t67))
% 0.35/0.81  (step-pop @p501 :rule scope :premises (@p36))
% 0.35/0.81  (step @p37 :rule process_scope :premises (@p501) :args (@t73))
% 0.35/0.81  (step @p39 :rule eq_resolve :premises (@p37 @p34))
% 0.35/0.81  (step @p40 :rule implies_elim :premises (@p39))
% 0.35/0.81  (step @p41 :rule chain_m_resolution :premises (@p40 @p11) :args (@t74 @t69 @t75))
% 0.35/0.81  (step @p42 :rule cnf_equiv_pos1 :args (@t74))
% 0.35/0.81  (step @p43 :rule reordering :premises (@p42) :args ((or @t77 @t71 @t76)))
% 0.35/0.81  (step @p44 :rule cnf_equiv_pos1 :args (@t68))
% 0.35/0.81  (step @p45 :rule reordering :premises (@p44) :args ((or @t79 @t63 @t78)))
% 0.35/0.81  (step @p46 :rule bool-double-not-elim :args (@t57))
% 0.35/0.81  (step @p47 :rule refl :args (@t59))
% 0.35/0.81  (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or @t59 (not @t58))))
% 0.35/0.81  (step @p49 :rule cnf_or_neg :args (@t59 0))
% 0.35/0.81  (step @p50 :rule eq_resolve :premises (@p49 @p48))
% 0.35/0.81  (step @p51 :rule reordering :premises (@p50) :args ((or @t57 @t59)))
% 0.35/0.81  (step @p52 :rule chain_m_resolution :premises (@p51 @p19) :args (@t57 @t61 @t62))
% 0.35/0.81  (step @p53 :rule refl :args (@t81))
% 0.35/0.81  (step @p54 :rule bool-double-not-elim :args (@t65))
% 0.35/0.81  (step @p55 :rule refl :args (@t58))
% 0.35/0.81  (step @p56 :rule nary_cong :premises (@p55 @p54 @p53) :args ((or @t58 (not @t79) @t81)))
% 0.35/0.81  (assume-push @p502 @t57)
% 0.35/0.81  (assume-push @p503 @t79)
% 0.35/0.81  (assume-push @p504 @t79)
% 0.35/0.81  (assume-push @p505 @t57)
% 0.35/0.81  (step @p61 :rule false_intro :premises (@p503))
% 0.35/0.81  (step @p62 :rule refl :args (@t64))
% 0.35/0.81  (step @p63 :rule symm :premises (@p52))
% 0.35/0.81  (step @p64 :rule cong :premises (@p63 @p62) :args (@t80))
% 0.35/0.81  (step @p65 :rule trans :premises (@p64 @p61))
% 0.35/0.81  (step @p66 :rule false_elim :premises (@p65))
% 0.35/0.81  (step-pop @p506 :rule scope :premises (@p66))
% 0.35/0.81  (step-pop @p507 :rule scope :premises (@p506))
% 0.35/0.81  (step @p67 :rule process_scope :premises (@p507) :args (@t81))
% 0.35/0.81  (step @p70 :rule and_intro :premises (@p503 @p52))
% 0.35/0.81  (step @p71 :rule modus_ponens :premises (@p70 @p67))
% 0.35/0.81  (step-pop @p508 :rule scope :premises (@p71))
% 0.35/0.81  (step-pop @p509 :rule scope :premises (@p508))
% 0.35/0.81  (step @p72 :rule process_scope :premises (@p509) :args (@t81))
% 0.35/0.81  (step @p75 :rule implies_elim :premises (@p72))
% 0.35/0.81  (step @p76 :rule cnf_and_neg :args (@t82))
% 0.35/0.81  (step @p77 :rule resolution :premises (@p76 @p75) :args (true @t82))
% 0.35/0.81  (step @p78 :rule eq_resolve :premises (@p77 @p56))
% 0.35/0.81  (step @p79 :rule eq-symm :args (@t83 @t80))
% 0.35/0.81  (step @p80 :rule cong :premises (@p23 @p79) :args ((=> @t26 @t84)))
% 0.35/0.81  (assume-push @p510 @t26)
% 0.35/0.81  (step @p82 :rule instantiate :premises (@p9) :args (@t85))
% 0.35/0.81  (step-pop @p511 :rule scope :premises (@p82))
% 0.35/0.81  (step @p83 :rule process_scope :premises (@p511) :args (@t84))
% 0.35/0.81  (step @p85 :rule eq_resolve :premises (@p83 @p80))
% 0.35/0.81  (step @p86 :rule implies_elim :premises (@p85))
% 0.35/0.81  (step @p87 :rule chain_m_resolution :premises (@p86 @p9) :args (@t86 @t69 @t70))
% 0.35/0.81  (step @p88 :rule cnf_equiv_pos2 :args (@t86))
% 0.35/0.81  (step @p89 :rule reordering :premises (@p88) :args ((or @t80 @t88 @t87)))
% 0.35/0.81  (step @p90 :rule eq-symm :args (@t88 @t89))
% 0.35/0.81  (step @p91 :rule cong :premises (@p33 @p90) :args ((=> @t38 @t90)))
% 0.35/0.81  (assume-push @p512 @t38)
% 0.35/0.81  (step @p93 :rule instantiate :premises (@p11) :args (@t85))
% 0.35/0.81  (step-pop @p513 :rule scope :premises (@p93))
% 0.35/0.81  (step @p94 :rule process_scope :premises (@p513) :args (@t90))
% 0.35/0.81  (step @p96 :rule eq_resolve :premises (@p94 @p91))
% 0.35/0.81  (step @p97 :rule implies_elim :premises (@p96))
% 0.35/0.81  (step @p98 :rule chain_m_resolution :premises (@p97 @p11) :args (@t91 @t69 @t75))
% 0.35/0.81  (step @p99 :rule bool-double-not-elim :args (@t83))
% 0.35/0.81  (step @p100 :rule refl :args (@t89))
% 0.35/0.81  (step @p101 :rule refl :args (@t92))
% 0.35/0.81  (step @p102 :rule nary_cong :premises (@p101 @p100 @p99) :args ((or @t92 @t89 (not @t88))))
% 0.35/0.81  (step @p103 :rule cnf_equiv_pos2 :args (@t91))
% 0.35/0.81  (step @p104 :rule eq_resolve :premises (@p103 @p102))
% 0.35/0.81  (step @p105 :rule reordering :premises (@p104) :args ((or @t89 @t83 @t92)))
% 0.35/0.81  (step @p106 :rule refl :args (@t93))
% 0.35/0.81  (step @p107 :rule refl :args (@t77))
% 0.35/0.81  (step @p108 :rule bool-double-not-elim :args (@t54))
% 0.35/0.81  (step @p109 :rule nary_cong :premises (@p108 @p107 @p106) :args ((or @t94 @t77 @t93)))
% 0.35/0.81  (assume-push @p514 @t72)
% 0.35/0.81  (assume-push @p515 @t89)
% 0.35/0.81  (assume-push @p516 @t60)
% 0.35/0.81  (step @p113 :rule evaluate :args ((= false true)))
% 0.35/0.81  (step @p114 :rule symm :premises (@p515))
% 0.35/0.81  (step @p115 :rule trans :premises (@p514 @p114))
% 0.35/0.81  (step @p116 :rule true_intro :premises (@p115))
% 0.35/0.81  (step @p117 :rule false_intro :premises (@p21))
% 0.35/0.81  (step @p118 :rule symm :premises (@p117))
% 0.35/0.81  (step @p119 :rule trans :premises (@p118 @p116))
% 0.35/0.81  (step @p120 false :rule eq_resolve :premises (@p119 @p113))
% 0.35/0.81  (step-pop @p517 :rule scope :premises (@p120))
% 0.35/0.81  (step-pop @p518 :rule scope :premises (@p517))
% 0.35/0.81  (step-pop @p519 :rule scope :premises (@p518))
% 0.35/0.81  (step @p121 :rule process_scope :premises (@p519) :args (false))
% 0.35/0.81  (assume-push @p520 @t60)
% 0.35/0.81  (assume-push @p521 @t72)
% 0.35/0.81  (assume-push @p522 @t89)
% 0.35/0.81  (step @p128 :rule and_intro :premises (@p521 @p522 @p21))
% 0.35/0.81  (step-pop @p523 :rule scope :premises (@p128))
% 0.35/0.81  (step-pop @p524 :rule scope :premises (@p523))
% 0.35/0.81  (step-pop @p525 :rule scope :premises (@p524))
% 0.35/0.81  (step @p129 :rule process_scope :premises (@p525) :args (@t95))
% 0.35/0.81  (step @p133 :rule implies_elim :premises (@p129))
% 0.35/0.81  (step @p134 :rule resolution :premises (@p133 @p121) :args (true @t95))
% 0.35/0.81  (step @p135 :rule not_and :premises (@p134))
% 0.35/0.81  (step @p136 :rule eq_resolve :premises (@p135 @p109))
% 0.35/0.81  (step @p137 :rule chain_m_resolution :premises (@p136 @p21 @p105 @p98 @p89 @p87 @p78 @p52 @p45 @p31 @p43 @p41) :args (@t77 (@list true false false true false true false true false true false) (@list @t54 @t89 @t91 @t83 @t86 @t80 @t57 @t65 @t68 @t63 @t74)))
% 0.35/0.81  (step @p138 :rule bool-double-not-elim :args (@t63))
% 0.35/0.81  (step @p139 :rule refl :args (@t72))
% 0.35/0.81  (step @p140 :rule refl :args (@t76))
% 0.35/0.81  (step @p141 :rule nary_cong :premises (@p140 @p139 @p138) :args ((or @t76 @t72 (not @t71))))
% 0.35/0.81  (step @p142 :rule cnf_equiv_pos2 :args (@t74))
% 0.35/0.81  (step @p143 :rule eq_resolve :premises (@p142 @p141))
% 0.35/0.81  (step @p144 :rule reordering :premises (@p143) :args ((or @t72 @t63 @t76)))
% 0.35/0.81  (step @p145 :rule chain_m_resolution :premises (@p144 @p137 @p41) :args (@t63 @t96 (@list @t72 @t74)))
% 0.35/0.81  (step @p146 :rule cnf_equiv_pos2 :args (@t68))
% 0.35/0.81  (step @p147 :rule reordering :premises (@p146) :args ((or @t65 @t71 @t78)))
% 0.35/0.81  (step @p148 :rule chain_m_resolution :premises (@p147 @p145 @p31) :args (@t65 @t97 (@list @t63 @t68)))
% 0.35/0.81  (step @p149 :rule bool-impl-elim :args (@t42 @t41))
% 0.35/0.81  (step @p150 :rule cong :premises (@p149) :args (@t43))
% 0.35/0.81  (step @p151 :rule eq_resolve :premises (@p12 @p150))
% 0.35/0.81  (step @p152 :rule instantiate :premises (@p151) :args (@t85))
% 0.35/0.81  (step @p153 :rule refl :args (@t79))
% 0.35/0.81  (step @p154 :rule bool-double-not-elim :args (@t80))
% 0.35/0.81  (step @p155 :rule nary_cong :premises (@p55 @p154 @p153) :args ((or @t58 (not @t81) @t79)))
% 0.35/0.81  (assume-push @p526 @t57)
% 0.35/0.81  (assume-push @p527 @t81)
% 0.35/0.81  (assume-push @p528 @t81)
% 0.35/0.81  (assume-push @p529 @t57)
% 0.35/0.81  (step @p160 :rule false_intro :premises (@p527))
% 0.35/0.81  (step @p62 :rule refl :args (@t64))
% 0.35/0.81  (step @p161 :rule cong :premises (@p52 @p62) :args (@t65))
% 0.35/0.81  (step @p162 :rule trans :premises (@p161 @p160))
% 0.35/0.81  (step @p163 :rule false_elim :premises (@p162))
% 0.35/0.81  (step-pop @p530 :rule scope :premises (@p163))
% 0.35/0.81  (step-pop @p531 :rule scope :premises (@p530))
% 0.35/0.81  (step @p164 :rule process_scope :premises (@p531) :args (@t79))
% 0.35/0.81  (step @p167 :rule and_intro :premises (@p527 @p52))
% 0.35/0.81  (step @p168 :rule modus_ponens :premises (@p167 @p164))
% 0.35/0.81  (step-pop @p532 :rule scope :premises (@p168))
% 0.35/0.81  (step-pop @p533 :rule scope :premises (@p532))
% 0.35/0.81  (step @p169 :rule process_scope :premises (@p533) :args (@t79))
% 0.35/0.81  (step @p172 :rule implies_elim :premises (@p169))
% 0.35/0.81  (step @p173 :rule cnf_and_neg :args (@t98))
% 0.35/0.81  (step @p174 :rule resolution :premises (@p173 @p172) :args (true @t98))
% 0.35/0.81  (step @p175 :rule eq_resolve :premises (@p174 @p155))
% 0.35/0.81  (step @p176 :rule reordering :premises (@p175) :args ((or @t58 @t79 @t80)))
% 0.35/0.81  (step @p177 :rule chain_m_resolution :premises (@p176 @p148 @p52) :args (@t80 @t97 (@list @t65 @t57)))
% 0.35/0.81  (step @p178 :rule cnf_equiv_pos1 :args (@t86))
% 0.35/0.81  (step @p179 :rule reordering :premises (@p178) :args ((or @t83 @t81 @t87)))
% 0.35/0.81  (step @p180 :rule chain_m_resolution :premises (@p179 @p177 @p87) :args (@t83 @t97 (@list @t80 @t86)))
% 0.35/0.81  (step @p181 :rule cnf_or_pos :args (@t101))
% 0.35/0.81  (step @p182 :rule reordering :premises (@p181) :args ((or @t88 @t100 (not @t101))))
% 0.35/0.81  (step @p183 :rule chain_m_resolution :premises (@p182 @p180 @p152) :args (@t100 @t97 (@list @t83 @t101)))
% 0.35/0.81  (step @p184 :rule arith_poly_norm :args ((= @t16 @t102)))
% 0.35/0.81  (step @p185 :rule refl :args (@t18))
% 0.35/0.81  (step @p186 :rule cong :premises (@p185 @p184) :args (@t19))
% 0.35/0.81  (step @p187 :rule refl :args (@t20))
% 0.35/0.81  (step @p188 :rule cong :premises (@p187 @p186) :args (@t21))
% 0.35/0.81  (step @p189 :rule cong :premises (@p188) :args (@t23))
% 0.35/0.81  (step @p190 :rule eq_resolve :premises (@p8 @p189))
% 0.35/0.81  (step @p191 :rule arith_poly_norm :args ((= (* 1 (- @t103 @t106)) (* -1 @t105))))
% 0.35/0.81  (step @p192 :rule arith_poly_norm_rel :premises (@p191) :args ((= @t108 @t107)))
% 0.35/0.81  (step @p193 :rule refl :args (@t110))
% 0.35/0.81  (step @p194 :rule cong :premises (@p193 @p192) :args (@t111))
% 0.35/0.81  (step @p195 :rule refl :args (@t112))
% 0.35/0.81  (step @p196 :rule cong :premises (@p195 @p194) :args ((=> @t112 @t111)))
% 0.35/0.81  (assume-push @p534 @t112)
% 0.35/0.81  (step @p198 :rule instantiate :premises (@p190) :args (@t113))
% 0.35/0.81  (step-pop @p535 :rule scope :premises (@p198))
% 0.35/0.81  (step @p199 :rule process_scope :premises (@p535) :args (@t111))
% 0.35/0.81  (step @p201 :rule eq_resolve :premises (@p199 @p196))
% 0.35/0.81  (step @p202 :rule implies_elim :premises (@p201))
% 0.35/0.81  (step @p203 :rule chain_m_resolution :premises (@p202 @p190) :args (@t114 @t69 (@list @t112)))
% 0.35/0.81  (step @p204 :rule arith_poly_norm :args ((= (* 1 (- @t103 @t52)) (* -1 (- @t52 @t103)))))
% 0.35/0.81  (step @p205 :rule arith_poly_norm_rel :premises (@p204) :args ((= @t116 @t115)))
% 0.35/0.81  (step @p206 :rule refl :args (@t109))
% 0.35/0.81  (step @p207 :rule cong :premises (@p206 @p205) :args (@t117))
% 0.35/0.81  (step @p208 :rule cong :premises (@p23 @p207) :args ((=> @t26 @t117)))
% 0.35/0.81  (assume-push @p536 @t26)
% 0.35/0.81  (step @p210 :rule instantiate :premises (@p9) :args (@t113))
% 0.35/0.81  (step-pop @p537 :rule scope :premises (@p210))
% 0.35/0.81  (step @p211 :rule process_scope :premises (@p537) :args (@t117))
% 0.35/0.81  (step @p213 :rule eq_resolve :premises (@p211 @p208))
% 0.35/0.81  (step @p214 :rule implies_elim :premises (@p213))
% 0.35/0.81  (step @p215 :rule chain_m_resolution :premises (@p214 @p9) :args (@t118 @t69 @t70))
% 0.35/0.81  (step @p216 :rule cnf_equiv_pos1 :args (@t91))
% 0.35/0.81  (step @p217 :rule reordering :premises (@p216) :args ((or @t93 @t88 @t92)))
% 0.35/0.81  (step @p218 :rule chain_m_resolution :premises (@p217 @p180 @p98) :args (@t93 @t97 (@list @t83 @t91)))
% 0.35/0.81  (step @p219 :rule refl :args (@t119))
% 0.35/0.81  (step @p220 :rule refl :args (@t120))
% 0.35/0.81  (step @p221 :rule bool-double-not-elim :args (@t89))
% 0.35/0.81  (step @p222 :rule nary_cong :premises (@p221 @p153 @p220 @p219) :args ((or (not @t93) @t79 @t120 @t119)))
% 0.35/0.81  (assume-push @p538 @t93)
% 0.35/0.81  (assume-push @p539 @t65)
% 0.35/0.81  (assume-push @p540 @t100)
% 0.35/0.81  (assume-push @p541 @t93)
% 0.35/0.81  (assume-push @p542 @t65)
% 0.35/0.81  (assume-push @p543 @t121)
% 0.35/0.81  (step @p229 :rule false_intro :premises (@p538))
% 0.35/0.81  (step @p230 :rule symm :premises (@p543))
% 0.35/0.81  (step @p231 :rule trans :premises (@p230 @p539))
% 0.35/0.81  (step @p232 :rule refl :args (@t52))
% 0.35/0.81  (step @p233 :rule cong :premises (@p232 @p231) :args (@t115))
% 0.35/0.81  (step @p234 :rule trans :premises (@p233 @p229))
% 0.35/0.81  (step @p235 :rule false_elim :premises (@p234))
% 0.35/0.81  (step-pop @p544 :rule scope :premises (@p235))
% 0.35/0.81  (step-pop @p545 :rule scope :premises (@p544))
% 0.35/0.81  (step-pop @p546 :rule scope :premises (@p545))
% 0.35/0.81  (step @p236 :rule process_scope :premises (@p546) :args (@t119))
% 0.35/0.81  (assume-push @p547 @t100)
% 0.35/0.81  (assume-push @p548 @t65)
% 0.35/0.81  (step @p242 :rule cong :premises (@p540) :args (@t64))
% 0.35/0.81  (step @p243 :rule trans :premises (@p539 @p242))
% 0.35/0.81  (step-pop @p549 :rule scope :premises (@p243))
% 0.35/0.81  (step-pop @p550 :rule scope :premises (@p549))
% 0.35/0.81  (step @p244 :rule process_scope :premises (@p550) :args (@t121))
% 0.35/0.81  (step @p247 :rule and_intro :premises (@p540 @p539))
% 0.35/0.81  (step @p248 :rule modus_ponens :premises (@p247 @p244))
% 0.35/0.81  (step @p249 :rule and_intro :premises (@p538 @p539 @p248))
% 0.35/0.81  (step @p250 :rule modus_ponens :premises (@p249 @p236))
% 0.35/0.81  (step-pop @p551 :rule scope :premises (@p250))
% 0.35/0.81  (step-pop @p552 :rule scope :premises (@p551))
% 0.35/0.81  (step-pop @p553 :rule scope :premises (@p552))
% 0.35/0.81  (step @p251 :rule process_scope :premises (@p553) :args (@t119))
% 0.35/0.81  (step @p255 :rule implies_elim :premises (@p251))
% 0.35/0.81  (step @p256 :rule cnf_and_neg :args (@t122))
% 0.35/0.81  (step @p257 :rule resolution :premises (@p256 @p255) :args (true @t122))
% 0.35/0.81  (step @p258 :rule eq_resolve :premises (@p257 @p222))
% 0.35/0.81  (step @p259 :rule chain_m_resolution :premises (@p258 @p183 @p218 @p148) :args (@t119 (@list false true false) (@list @t100 @t89 @t65)))
% 0.35/0.81  (step @p260 :rule cnf_equiv_pos1 :args (@t118))
% 0.35/0.81  (step @p261 :rule reordering :premises (@p260) :args ((or @t110 @t115 (not @t118))))
% 0.35/0.81  (step @p262 :rule chain_m_resolution :premises (@p261 @p259 @p215) :args (@t110 @t96 (@list @t115 @t118)))
% 0.35/0.81  (step @p263 :rule refl :args (@t107))
% 0.35/0.81  (step @p264 :rule bool-double-not-elim :args (@t109))
% 0.35/0.81  (step @p265 :rule refl :args (@t123))
% 0.35/0.81  (step @p266 :rule nary_cong :premises (@p265 @p264 @p263) :args ((or @t123 (not @t110) @t107)))
% 0.35/0.81  (step @p267 :rule cnf_equiv_pos1 :args (@t114))
% 0.35/0.81  (step @p268 :rule eq_resolve :premises (@p267 @p266))
% 0.35/0.81  (step @p269 :rule reordering :premises (@p268) :args ((or @t109 @t107 @t123)))
% 0.35/0.81  (step @p270 :rule chain_m_resolution :premises (@p269 @p262 @p203) :args (@t107 @t96 (@list @t109 @t114)))
% 0.35/0.81  (step @p271 :rule arith_poly_norm :args ((= (+ @t28 -1) (+ -1 @t28))))
% 0.35/0.81  (step @p272 :rule evaluate :args (@t124))
% 0.35/0.81  (step @p273 :rule refl :args (@t28))
% 0.35/0.81  (step @p274 :rule nary_cong :premises (@p273 @p272) :args (@t125))
% 0.35/0.81  (step @p275 :rule trans :premises (@p274 @p271))
% 0.35/0.81  (step @p276 :rule arith_poly_norm :args ((= @t29 @t125)))
% 0.35/0.81  (step @p277 :rule trans :premises (@p276 @p275))
% 0.35/0.81  (step @p278 :rule refl :args (@t31))
% 0.35/0.81  (step @p279 :rule cong :premises (@p278 @p277) :args (@t32))
% 0.35/0.81  (step @p280 :rule refl :args (@t33))
% 0.35/0.81  (step @p281 :rule cong :premises (@p280 @p279) :args (@t34))
% 0.35/0.81  (step @p282 :rule cong :premises (@p281) :args (@t35))
% 0.35/0.81  (step @p283 :rule eq_resolve :premises (@p10 @p282))
% 0.35/0.81  (step @p284 :rule instantiate :premises (@p283) :args (@t67))
% 0.35/0.81  (step @p285 :rule cnf_equiv_pos1 :args (@t128))
% 0.35/0.81  (step @p286 :rule reordering :premises (@p285) :args ((or @t71 @t127 (not @t128))))
% 0.35/0.81  (step @p287 :rule chain_m_resolution :premises (@p286 @p145 @p284) :args (@t127 @t97 (@list @t63 @t128)))
% 0.35/0.81  (assume-push @p554 @t127)
% 0.35/0.81  (assume-push @p555 @t127)
% 0.35/0.81  (step @p290 :rule arith-elim-lt :args (@t130 0))
% 0.35/0.81  (step @p291 :rule symm :premises (@p290))
% 0.35/0.81  (assume-push @p556 @t131)
% 0.35/0.81  (step @p293 :rule evaluate :args ((<= 0 -1)))
% 0.35/0.81  (step @p294 :rule evaluate :args ((+ 0 -1)))
% 0.35/0.81  (step @p295 :rule refl :args (-1))
% 0.35/0.81  (step @p296 :rule evaluate :args (@t132))
% 0.35/0.81  (step @p297 :rule nary_cong :premises (@p296 @p295) :args (@t133))
% 0.35/0.81  (step @p298 :rule trans :premises (@p297 @p294))
% 0.35/0.81  (step @p299 :rule evaluate :args ((+ 0 0)))
% 0.35/0.81  (step @p300 :rule arith_poly_norm :args (@t135))
% 0.35/0.81  (step @p301 :rule arith_poly_norm :args (@t137))
% 0.35/0.81  (step @p302 :rule nary_cong :premises (@p301 @p300) :args (@t138))
% 0.35/0.81  (step @p303 :rule trans :premises (@p302 @p299))
% 0.35/0.81  (step @p304 :rule arith_poly_norm :args ((= @t140 @t138)))
% 0.35/0.81  (step @p305 :rule trans :premises (@p304 @p303))
% 0.35/0.81  (step @p306 :rule cong :premises (@p305 @p298) :args ((<= @t140 @t133)))
% 0.35/0.81  (step @p307 :rule trans :premises (@p306 @p293))
% 0.35/0.81  (step @p308 :rule arith_poly_norm :args (@t141))
% 0.35/0.81  (step @p309 :rule arith_poly_norm_rel :premises (@p308) :args (@t143))
% 0.35/0.81  (step @p310 :rule symm :premises (@p309))
% 0.35/0.81  (step @p311 :rule eq_resolve :premises (@p554 @p310))
% 0.35/0.81  (step @p312 :rule arith_mult_neg :args (-1 @t131))
% 0.35/0.81  (step @p313 :rule evaluate :args (@t144))
% 0.35/0.81  (step @p314 :rule true_elim :premises (@p313))
% 0.35/0.81  (step @p315 :rule and_intro :premises (@p314 @p556))
% 0.35/0.81  (step @p316 :rule modus_ponens :premises (@p315 @p312))
% 0.35/0.81  (step @p317 :rule arith_sum_ub :premises (@p316 @p311))
% 0.35/0.81  (step @p318 false :rule eq_resolve :premises (@p317 @p307))
% 0.35/0.81  (step-pop @p557 :rule scope :premises (@p318))
% 0.35/0.81  (step @p319 :rule process_scope :premises (@p557) :args (false))
% 0.35/0.81  (step @p321 :rule eq_resolve :premises (@p319 @p291))
% 0.35/0.81  (step @p322 :rule eq_resolve :premises (@p321 @p290))
% 0.35/0.81  (step-pop @p558 :rule scope :premises (@p322))
% 0.35/0.81  (step @p323 :rule process_scope :premises (@p558) :args (@t145))
% 0.35/0.81  (step @p325 :rule modus_ponens :premises (@p554 @p323))
% 0.35/0.81  (step-pop @p559 :rule scope :premises (@p325))
% 0.35/0.81  (step @p326 :rule process_scope :premises (@p559) :args (@t145))
% 0.35/0.81  (step @p328 :rule implies_elim :premises (@p326))
% 0.35/0.81  (step @p329 :rule reordering :premises (@p328) :args ((or @t145 @t146)))
% 0.35/0.81  (step @p330 :rule chain_m_resolution :premises (@p329 @p287) :args (@t145 @t69 (@list @t127)))
% 0.35/0.81  (assume-push @p560 @t65)
% 0.35/0.81  (assume-push @p561 @t100)
% 0.35/0.81  (assume-push @p562 @t100)
% 0.35/0.81  (assume-push @p563 @t65)
% 0.35/0.81  (step @p242 :rule cong :premises (@p561) :args (@t64))
% 0.35/0.81  (step @p243 :rule trans :premises (@p560 @p242))
% 0.35/0.81  (step-pop @p564 :rule scope :premises (@p243))
% 0.35/0.81  (step-pop @p565 :rule scope :premises (@p564))
% 0.35/0.81  (step @p335 :rule process_scope :premises (@p565) :args (@t121))
% 0.35/0.81  (step @p338 :rule and_intro :premises (@p561 @p560))
% 0.35/0.81  (step @p339 :rule modus_ponens :premises (@p338 @p335))
% 0.35/0.81  (step-pop @p566 :rule scope :premises (@p339))
% 0.35/0.81  (step-pop @p567 :rule scope :premises (@p566))
% 0.35/0.81  (step @p340 :rule process_scope :premises (@p567) :args (@t121))
% 0.35/0.81  (step @p343 :rule implies_elim :premises (@p340))
% 0.35/0.81  (step @p344 :rule cnf_and_neg :args (@t147))
% 0.35/0.81  (step @p345 :rule resolution :premises (@p344 @p343) :args (true @t147))
% 0.35/0.81  (step @p346 :rule chain_m_resolution :premises (@p345 @p148 @p183) :args (@t121 @t97 (@list @t65 @t100)))
% 0.35/0.81  (step @p347 :rule bool-double-not-elim :args (@t150))
% 0.35/0.81  (step @p348 :rule refl :args (@t151))
% 0.35/0.81  (step @p349 :rule refl :args (@t152))
% 0.35/0.81  (step @p350 :rule refl :args (@t146))
% 0.35/0.81  (step @p351 :rule nary_cong :premises (@p350 @p349 @p153 @p348 @p347) :args ((or @t146 @t152 @t79 @t151 (not @t153))))
% 0.35/0.81  (assume-push @p568 @t127)
% 0.35/0.81  (assume-push @p569 @t121)
% 0.35/0.81  (assume-push @p570 @t65)
% 0.35/0.81  (assume-push @p571 @t107)
% 0.35/0.81  (assume-push @p572 @t153)
% 0.35/0.81  (step @p357 :rule evaluate :args (@t154))
% 0.35/0.81  (step @p358 :rule evaluate :args (@t155))
% 0.35/0.81  (step @p359 :rule evaluate :args ((+ 0 1 0 0 -1)))
% 0.35/0.81  (step @p295 :rule refl :args (-1))
% 0.35/0.81  (step @p360 :rule refl :args (0))
% 0.35/0.81  (step @p296 :rule evaluate :args (@t132))
% 0.35/0.81  (step @p361 :rule evaluate :args (@t156))
% 0.35/0.81  (step @p362 :rule nary_cong :premises (@p360 @p361 @p296 @p360 @p295) :args (@t157))
% 0.35/0.81  (step @p363 :rule trans :premises (@p362 @p359))
% 0.35/0.81  (step @p364 :rule arith_poly_norm :args ((= (+ 0 0 @t148 @t52 0 0) 0)))
% 0.35/0.81  (step @p365 :rule arith_poly_norm :args (@t159))
% 0.35/0.81  (step @p300 :rule arith_poly_norm :args (@t135))
% 0.35/0.81  (step @p232 :rule refl :args (@t52))
% 0.35/0.81  (step @p366 :rule refl :args (@t148))
% 0.35/0.81  (step @p301 :rule arith_poly_norm :args (@t137))
% 0.35/0.81  (step @p367 :rule arith_poly_norm :args (@t161))
% 0.35/0.81  (step @p368 :rule nary_cong :premises (@p367 @p301 @p366 @p232 @p300 @p365) :args (@t162))
% 0.35/0.81  (step @p369 :rule trans :premises (@p368 @p364))
% 0.35/0.81  (step @p370 :rule arith_poly_norm :args ((= @t167 @t162)))
% 0.35/0.81  (step @p371 :rule trans :premises (@p370 @p369))
% 0.35/0.81  (step @p372 :rule cong :premises (@p371 @p363) :args (@t168))
% 0.35/0.81  (step @p373 :rule trans :premises (@p372 @p358))
% 0.35/0.81  (step @p374 :rule cong :premises (@p373) :args ((not @t168)))
% 0.35/0.81  (step @p375 :rule trans :premises (@p374 @p357))
% 0.35/0.81  (step @p376 :rule arith-elim-lt :args (@t167 @t157))
% 0.35/0.81  (step @p377 :rule trans :premises (@p376 @p375))
% 0.35/0.81  (step @p378 :rule arith_poly_norm :args (@t169))
% 0.35/0.81  (step @p379 :rule arith_poly_norm_rel :premises (@p378) :args (@t171))
% 0.35/0.81  (step @p380 :rule symm :premises (@p379))
% 0.35/0.81  (step @p381 :rule eq_resolve :premises (@p571 @p380))
% 0.35/0.81  (step @p382 :rule arith_poly_norm :args (@t172))
% 0.35/0.81  (step @p383 :rule arith_poly_norm_rel :premises (@p382) :args (@t174))
% 0.35/0.81  (step @p384 :rule symm :premises (@p383))
% 0.35/0.81  (step @p385 :rule eq_resolve :premises (@p570 @p384))
% 0.35/0.81  (step @p386 :rule arith_mult_neg :args (-1 @t175))
% 0.35/0.81  (step @p387 :rule arith_poly_norm :args (@t176))
% 0.35/0.81  (step @p388 :rule arith_poly_norm_rel :premises (@p387) :args (@t177))
% 0.35/0.81  (step @p389 :rule symm :premises (@p388))
% 0.35/0.81  (step @p390 :rule eq_resolve :premises (@p569 @p389))
% 0.35/0.81  (step @p313 :rule evaluate :args (@t144))
% 0.35/0.81  (step @p314 :rule true_elim :premises (@p313))
% 0.35/0.81  (step @p391 :rule and_intro :premises (@p314 @p390))
% 0.35/0.81  (step @p392 :rule modus_ponens :premises (@p391 @p386))
% 0.35/0.81  (step @p393 :rule arith_mult_neg :args (-1 @t142))
% 0.35/0.81  (step @p308 :rule arith_poly_norm :args (@t141))
% 0.35/0.81  (step @p309 :rule arith_poly_norm_rel :premises (@p308) :args (@t143))
% 0.35/0.81  (step @p310 :rule symm :premises (@p309))
% 0.35/0.81  (step @p394 :rule eq_resolve :premises (@p568 @p310))
% 0.35/0.81  (step @p395 :rule and_intro :premises (@p314 @p394))
% 0.35/0.81  (step @p396 :rule modus_ponens :premises (@p395 @p393))
% 0.35/0.81  (step @p397 :rule arith-elim-lt :args (@t149 0))
% 0.35/0.81  (step @p398 :rule symm :premises (@p397))
% 0.35/0.81  (step @p399 :rule eq_resolve :premises (@p572 @p398))
% 0.35/0.81  (step @p400 :rule arith_sum_ub :premises (@p399 @p396 @p392 @p385 @p381))
% 0.35/0.81  (step @p401 false :rule eq_resolve :premises (@p400 @p377))
% 0.35/0.81  (step-pop @p573 :rule scope :premises (@p401))
% 0.35/0.81  (step-pop @p574 :rule scope :premises (@p573))
% 0.35/0.81  (step-pop @p575 :rule scope :premises (@p574))
% 0.35/0.81  (step-pop @p576 :rule scope :premises (@p575))
% 0.35/0.81  (step-pop @p577 :rule scope :premises (@p576))
% 0.35/0.81  (step @p402 :rule process_scope :premises (@p577) :args (false))
% 0.35/0.81  (step @p408 :rule not_and :premises (@p402))
% 0.35/0.81  (step @p409 :rule eq_resolve :premises (@p408 @p351))
% 0.35/0.81  (step @p410 :rule reordering :premises (@p409) :args ((or @t150 @t79 @t151 @t152 @t146)))
% 0.35/0.81  (step @p411 :rule chain_m_resolution :premises (@p410 @p148 @p270 @p346 @p287) :args (@t150 (@list false false false false) (@list @t65 @t107 @t121 @t127)))
% 0.35/0.81  (step @p412 :rule bool-double-not-elim :args (@t131))
% 0.35/0.81  (step @p413 :rule refl :args (@t153))
% 0.35/0.81  (step @p414 :rule nary_cong :premises (@p108 @p413 @p153 @p412 @p220 @p348) :args ((or @t94 @t153 @t79 (not @t145) @t120 @t151)))
% 0.35/0.81  (assume-push @p578 @t145)
% 0.35/0.81  (assume-push @p579 @t107)
% 0.35/0.81  (assume-push @p580 @t65)
% 0.35/0.81  (assume-push @p581 @t121)
% 0.35/0.81  (assume-push @p582 @t60)
% 0.35/0.81  (assume-push @p583 @t150)
% 0.35/0.81  (step @p421 :rule arith-elim-lt :args (@t149 1))
% 0.35/0.81  (step @p422 :rule symm :premises (@p421))
% 0.35/0.81  (assume-push @p584 @t178)
% 0.35/0.81  (step @p357 :rule evaluate :args (@t154))
% 0.35/0.81  (step @p358 :rule evaluate :args (@t155))
% 0.35/0.81  (step @p424 :rule evaluate :args ((+ -1 0 0 1 0)))
% 0.35/0.81  (step @p360 :rule refl :args (0))
% 0.35/0.81  (step @p361 :rule evaluate :args (@t156))
% 0.35/0.81  (step @p296 :rule evaluate :args (@t132))
% 0.35/0.81  (step @p425 :rule nary_cong :premises (@p272 @p360 @p296 @p361 @p360) :args (@t179))
% 0.35/0.81  (step @p426 :rule trans :premises (@p425 @p424))
% 0.35/0.81  (step @p427 :rule arith_poly_norm :args ((= (+ 0 0 @t52 @t148 0 0) 0)))
% 0.35/0.81  (step @p365 :rule arith_poly_norm :args (@t159))
% 0.35/0.81  (step @p300 :rule arith_poly_norm :args (@t135))
% 0.35/0.81  (step @p366 :rule refl :args (@t148))
% 0.35/0.81  (step @p232 :rule refl :args (@t52))
% 0.35/0.81  (step @p301 :rule arith_poly_norm :args (@t137))
% 0.35/0.81  (step @p367 :rule arith_poly_norm :args (@t161))
% 0.35/0.81  (step @p428 :rule nary_cong :premises (@p367 @p301 @p232 @p366 @p300 @p365) :args (@t180))
% 0.35/0.81  (step @p429 :rule trans :premises (@p428 @p427))
% 0.35/0.81  (step @p430 :rule arith_poly_norm :args ((= @t181 @t180)))
% 0.35/0.81  (step @p431 :rule trans :premises (@p430 @p429))
% 0.35/0.81  (step @p432 :rule cong :premises (@p431 @p426) :args (@t182))
% 0.35/0.81  (step @p433 :rule trans :premises (@p432 @p358))
% 0.35/0.81  (step @p434 :rule cong :premises (@p433) :args ((not @t182)))
% 0.35/0.81  (step @p435 :rule trans :premises (@p434 @p357))
% 0.35/0.81  (step @p436 :rule arith-elim-lt :args (@t181 @t179))
% 0.35/0.81  (step @p437 :rule trans :premises (@p436 @p435))
% 0.35/0.81  (step @p290 :rule arith-elim-lt :args (@t130 0))
% 0.35/0.81  (step @p291 :rule symm :premises (@p290))
% 0.35/0.81  (step @p438 :rule eq_resolve :premises (@p578 @p291))
% 0.35/0.81  (step @p439 :rule arith_mult_neg :args (-1 @t170))
% 0.35/0.81  (step @p378 :rule arith_poly_norm :args (@t169))
% 0.35/0.81  (step @p379 :rule arith_poly_norm_rel :premises (@p378) :args (@t171))
% 0.35/0.81  (step @p380 :rule symm :premises (@p379))
% 0.35/0.81  (step @p440 :rule eq_resolve :premises (@p579 @p380))
% 0.35/0.81  (step @p313 :rule evaluate :args (@t144))
% 0.35/0.81  (step @p314 :rule true_elim :premises (@p313))
% 0.35/0.81  (step @p441 :rule and_intro :premises (@p314 @p440))
% 0.35/0.81  (step @p442 :rule modus_ponens :premises (@p441 @p439))
% 0.35/0.81  (step @p443 :rule arith_mult_neg :args (-1 @t173))
% 0.35/0.81  (step @p382 :rule arith_poly_norm :args (@t172))
% 0.35/0.81  (step @p383 :rule arith_poly_norm_rel :premises (@p382) :args (@t174))
% 0.35/0.81  (step @p384 :rule symm :premises (@p383))
% 0.35/0.82  (step @p444 :rule eq_resolve :premises (@p580 @p384))
% 0.35/0.82  (step @p445 :rule and_intro :premises (@p314 @p444))
% 0.35/0.82  (step @p446 :rule modus_ponens :premises (@p445 @p443))
% 0.35/0.82  (step @p387 :rule arith_poly_norm :args (@t176))
% 0.35/0.82  (step @p388 :rule arith_poly_norm_rel :premises (@p387) :args (@t177))
% 0.35/0.82  (step @p389 :rule symm :premises (@p388))
% 0.35/0.82  (step @p447 :rule eq_resolve :premises (@p581 @p389))
% 0.35/0.82  (step @p448 :rule arith_mult_neg :args (-1 @t178))
% 0.35/0.82  (step @p449 :rule and_intro :premises (@p314 @p584))
% 0.35/0.82  (step @p450 :rule modus_ponens :premises (@p449 @p448))
% 0.35/0.82  (step @p451 :rule arith_sum_ub :premises (@p450 @p447 @p446 @p442 @p438))
% 0.35/0.82  (step @p452 false :rule eq_resolve :premises (@p451 @p437))
% 0.35/0.82  (step-pop @p585 :rule scope :premises (@p452))
% 0.35/0.82  (step @p453 :rule process_scope :premises (@p585) :args (false))
% 0.35/0.82  (step @p455 :rule eq_resolve :premises (@p453 @p422))
% 0.35/0.82  (step @p456 :rule eq_resolve :premises (@p455 @p421))
% 0.35/0.82  (step @p457 :rule arith_poly_norm :args ((= (* 1 (- @t149 0)) (* 1 (- @t53 @t52)))))
% 0.35/0.82  (step @p458 :rule arith_poly_norm_rel :premises (@p457) :args ((= @t183 @t54)))
% 0.35/0.82  (step @p459 :rule cong :premises (@p458) :args ((not @t183)))
% 0.35/0.82  (step @p460 :rule symm :premises (@p459))
% 0.35/0.82  (step @p461 :rule eq_resolve :premises (@p21 @p460))
% 0.35/0.82  (step @p462 :rule arith_trichotomy :premises (@p461 @p583))
% 0.35/0.82  (step @p463 :rule int_tight_lb :premises (@p462))
% 0.35/0.82  (step @p464 false :rule contra :premises (@p463 @p456))
% 0.35/0.82  (step-pop @p586 :rule scope :premises (@p464))
% 0.35/0.82  (step-pop @p587 :rule scope :premises (@p586))
% 0.35/0.82  (step-pop @p588 :rule scope :premises (@p587))
% 0.35/0.82  (step-pop @p589 :rule scope :premises (@p588))
% 0.35/0.82  (step-pop @p590 :rule scope :premises (@p589))
% 0.35/0.82  (step-pop @p591 :rule scope :premises (@p590))
% 0.35/0.82  (step @p465 :rule process_scope :premises (@p591) :args (false))
% 0.35/0.82  (assume-push @p592 @t60)
% 0.35/0.82  (assume-push @p593 @t150)
% 0.35/0.82  (assume-push @p594 @t65)
% 0.35/0.82  (assume-push @p595 @t145)
% 0.35/0.82  (assume-push @p596 @t100)
% 0.35/0.82  (assume-push @p597 @t107)
% 0.35/0.82  (assume-push @p598 @t100)
% 0.35/0.82  (assume-push @p599 @t65)
% 0.35/0.82  (step @p242 :rule cong :premises (@p596) :args (@t64))
% 0.35/0.82  (step @p243 :rule trans :premises (@p594 @p242))
% 0.35/0.82  (step-pop @p600 :rule scope :premises (@p243))
% 0.35/0.82  (step-pop @p601 :rule scope :premises (@p600))
% 0.35/0.82  (step @p480 :rule process_scope :premises (@p601) :args (@t121))
% 0.35/0.82  (step @p483 :rule and_intro :premises (@p596 @p594))
% 0.35/0.82  (step @p484 :rule modus_ponens :premises (@p483 @p480))
% 0.35/0.82  (step @p485 :rule and_intro :premises (@p595 @p597 @p594 @p484 @p21 @p593))
% 0.35/0.82  (step-pop @p602 :rule scope :premises (@p485))
% 0.35/0.82  (step-pop @p603 :rule scope :premises (@p602))
% 0.35/0.82  (step-pop @p604 :rule scope :premises (@p603))
% 0.35/0.82  (step-pop @p605 :rule scope :premises (@p604))
% 0.35/0.82  (step-pop @p606 :rule scope :premises (@p605))
% 0.35/0.82  (step-pop @p607 :rule scope :premises (@p606))
% 0.35/0.82  (step @p486 :rule process_scope :premises (@p607) :args (@t184))
% 0.35/0.82  (step @p493 :rule implies_elim :premises (@p486))
% 0.35/0.82  (step @p494 :rule resolution :premises (@p493 @p465) :args (true @t184))
% 0.35/0.82  (step @p495 :rule not_and :premises (@p494))
% 0.35/0.82  (step @p496 :rule eq_resolve :premises (@p495 @p414))
% 0.35/0.82  (step @p497 false :rule chain_m_resolution :premises (@p496 @p411 @p330 @p270 @p183 @p148 @p21) :args (false (@list false true false false false true) (@list @t150 @t131 @t107 @t100 @t65 @t54)))
% 0.35/0.82  )
% 0.35/0.82  % SZS output end Proof
% 0.35/0.82  % cvc5 exiting
%------------------------------------------------------------------------------