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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : BOO029-1 : TPTP v9.2.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n017.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 08:09:06 AM UTC 2026

% Result   : Unsatisfiable 2.73s 3.01s
% Output   : Proof 2.85s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : BOO029-1 : TPTP v9.2.1. Released v2.2.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n017.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 : Wed Jun  3 02:36:31 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.28/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.28/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 2.73/3.01  % SZS status Unsatisfiable
% 2.73/3.01  % SZS output start Proof
% 2.73/3.02  (
% 2.73/3.02  (declare-sort $$unsorted 0)
% 2.73/3.02  (declare-const tptp.b $$unsorted)
% 2.73/3.02  (declare-const tptp.a $$unsorted)
% 2.73/3.02  (declare-const tptp.add (-> $$unsorted $$unsorted $$unsorted))
% 2.73/3.02  (declare-const tptp.inverse (-> $$unsorted $$unsorted))
% 2.73/3.02  (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted))
% 2.73/3.02  (define @t1 () (@var "X" $$unsorted))
% 2.73/3.02  (define @t2 () (@var "Z" $$unsorted))
% 2.73/3.02  (define @t3 () (@var "Y" $$unsorted))
% 2.73/3.02  (define @t4 () (tptp.add @t1 (tptp.multiply @t3 (tptp.multiply @t1 @t2))))
% 2.73/3.02  (define @t5 () (@list @t1 @t3 @t2))
% 2.73/3.02  (define @t6 () (forall @t5 (= @t4 @t1)))
% 2.73/3.02  (define @t7 () (tptp.multiply @t3 @t2))
% 2.73/3.02  (define @t8 () (tptp.multiply @t1 @t3))
% 2.73/3.02  (define @t9 () (tptp.add (tptp.add @t8 @t7) @t3))
% 2.73/3.02  (define @t10 () (forall @t5 (= @t9 @t3)))
% 2.73/3.02  (define @t11 () (tptp.inverse @t3))
% 2.73/3.02  (define @t12 () (tptp.add @t1 @t3))
% 2.73/3.02  (define @t13 () (tptp.multiply @t12 (tptp.add @t1 @t11)))
% 2.73/3.02  (define @t14 () (@list @t1 @t3))
% 2.73/3.02  (define @t15 () (forall @t14 (= @t13 @t1)))
% 2.73/3.02  (define @t16 () (tptp.multiply @t1 (tptp.add @t3 (tptp.add @t1 @t2))))
% 2.73/3.02  (define @t17 () (forall @t5 (= @t16 @t1)))
% 2.73/3.02  (define @t18 () (tptp.add @t3 @t2))
% 2.73/3.02  (define @t19 () (tptp.multiply (tptp.multiply @t12 @t18) @t3))
% 2.73/3.02  (define @t20 () (forall @t5 (= @t19 @t3)))
% 2.73/3.02  (define @t21 () (tptp.add @t8 (tptp.multiply @t1 @t11)))
% 2.73/3.02  (define @t22 () (forall @t14 (= @t21 @t1)))
% 2.73/3.02  (define @t23 () (forall @t5 (= (tptp.add @t12 @t2) (tptp.add @t1 @t18))))
% 2.73/3.02  (define @t24 () (forall @t5 (= (tptp.multiply @t8 @t2) (tptp.multiply @t1 @t7))))
% 2.73/3.02  (define @t25 () (tptp.inverse tptp.a))
% 2.73/3.02  (define @t26 () (tptp.add tptp.a @t25))
% 2.73/3.02  (define @t27 () (tptp.inverse tptp.b))
% 2.73/3.02  (define @t28 () (tptp.add tptp.b @t27))
% 2.73/3.02  (define @t29 () (tptp.add @t27 @t25))
% 2.73/3.02  (define @t30 () (tptp.multiply tptp.b tptp.a))
% 2.73/3.02  (define @t31 () (tptp.add @t30 @t29))
% 2.73/3.02  (define @t32 () (tptp.add @t30 @t27))
% 2.73/3.02  (define @t33 () (tptp.add @t32 @t25))
% 2.73/3.02  (define @t34 () (= @t33 @t31))
% 2.73/3.02  (define @t35 () (= @t31 @t33))
% 2.73/3.02  (define @t36 () (tptp.add tptp.a tptp.a))
% 2.73/3.02  (define @t37 () (tptp.add @t25 tptp.a))
% 2.73/3.02  (define @t38 () (tptp.add @t27 tptp.a))
% 2.73/3.02  (define @t39 () (tptp.multiply @t38 @t26))
% 2.73/3.02  (define @t40 () (tptp.multiply @t36 @t26))
% 2.73/3.02  (define @t41 () (tptp.multiply @t26 @t36))
% 2.73/3.02  (define @t42 () (tptp.multiply @t40 @t41))
% 2.73/3.02  (define @t43 () (tptp.multiply @t39 tptp.a))
% 2.73/3.02  (define @t44 () (tptp.multiply @t40 @t43))
% 2.73/3.02  (define @t45 () (tptp.multiply @t26 @t37))
% 2.73/3.02  (define @t46 () (tptp.multiply @t45 @t25))
% 2.73/3.02  (define @t47 () (tptp.add @t44 @t46))
% 2.73/3.02  (define @t48 () (tptp.multiply @t26 @t43))
% 2.73/3.02  (define @t49 () (tptp.multiply @t39 @t37))
% 2.73/3.02  (define @t50 () (tptp.multiply @t38 @t45))
% 2.73/3.02  (define @t51 () (= @t49 @t50))
% 2.73/3.02  (define @t52 () (@list false))
% 2.73/3.02  (define @t53 () (@list @t24))
% 2.73/3.02  (define @t54 () (tptp.add @t40 @t41))
% 2.73/3.02  (define @t55 () (tptp.add @t54 (tptp.add @t26 @t42)))
% 2.73/3.02  (define @t56 () (@list @t27 tptp.a))
% 2.73/3.02  (define @t57 () (tptp.multiply @t27 @t25))
% 2.73/3.02  (define @t58 () (tptp.multiply tptp.a @t27))
% 2.73/3.02  (define @t59 () (tptp.add @t58 @t57))
% 2.73/3.02  (define @t60 () (tptp.multiply @t40 tptp.a))
% 2.73/3.02  (define @t61 () (tptp.multiply @t27 @t36))
% 2.73/3.02  (define @t62 () (tptp.add @t61 @t40))
% 2.73/3.02  (define @t63 () (tptp.add @t62 @t36))
% 2.73/3.02  (define @t64 () (tptp.add tptp.a @t63))
% 2.73/3.02  (define @t65 () (tptp.add @t25 @t63))
% 2.73/3.02  (define @t66 () (@list @t27 @t25))
% 2.73/3.02  (define @t67 () (tptp.multiply @t25 @t27))
% 2.73/3.02  (define @t68 () (tptp.add @t67 tptp.a))
% 2.73/3.02  (define @t69 () (@list @t25 tptp.b))
% 2.73/3.02  (define @t70 () (tptp.multiply @t25 tptp.b))
% 2.73/3.02  (define @t71 () (tptp.multiply (tptp.add @t70 @t68) (tptp.add @t68 @t70)))
% 2.73/3.02  (define @t72 () (@list @t25 tptp.a))
% 2.73/3.02  (define @t73 () (tptp.multiply @t25 @t25))
% 2.73/3.02  (define @t74 () (tptp.multiply @t25 tptp.a))
% 2.73/3.02  (define @t75 () (tptp.multiply @t45 (tptp.multiply @t25 @t45)))
% 2.73/3.02  (define @t76 () (tptp.add @t25 (tptp.add @t25 @t75)))
% 2.73/3.02  (define @t77 () (tptp.multiply @t25 @t76))
% 2.73/3.02  (define @t78 () (tptp.add @t46 @t74))
% 2.73/3.02  (define @t79 () (tptp.add @t74 @t27))
% 2.73/3.02  (define @t80 () (tptp.add @t79 @t25))
% 2.73/3.02  (define @t81 () (tptp.multiply @t25 @t40))
% 2.73/3.02  (define @t82 () (tptp.multiply @t25 @t74))
% 2.73/3.02  (define @t83 () (tptp.multiply @t25 (tptp.multiply @t81 tptp.a)))
% 2.73/3.02  (define @t84 () (tptp.multiply @t25 @t36))
% 2.73/3.02  (define @t85 () (tptp.add @t84 @t40))
% 2.73/3.02  (define @t86 () (tptp.add @t79 tptp.a))
% 2.73/3.02  (define @t87 () (@list @t27 @t28))
% 2.73/3.02  (define @t88 () (tptp.inverse @t28))
% 2.73/3.02  (define @t89 () (tptp.multiply @t27 @t88))
% 2.73/3.02  (define @t90 () (tptp.add @t27 tptp.b))
% 2.73/3.02  (define @t91 () (tptp.multiply @t28 @t90))
% 2.73/3.02  (define @t92 () (tptp.add tptp.b tptp.b))
% 2.73/3.02  (define @t93 () (tptp.multiply @t92 @t28))
% 2.73/3.02  (define @t94 () (tptp.multiply @t28 @t92))
% 2.73/3.02  (define @t95 () (tptp.multiply @t93 @t94))
% 2.73/3.02  (define @t96 () (tptp.add @t95 @t28))
% 2.73/3.02  (define @t97 () (tptp.add @t93 @t94))
% 2.73/3.02  (define @t98 () (tptp.add @t97 (tptp.add @t28 @t95)))
% 2.73/3.02  (define @t99 () (tptp.multiply @t27 @t28))
% 2.73/3.02  (define @t100 () (tptp.add @t89 @t89))
% 2.73/3.02  (define @t101 () (tptp.add @t74 (tptp.add @t99 @t100)))
% 2.73/3.02  (define @t102 () (tptp.multiply @t91 @t27))
% 2.73/3.02  (define @t103 () (tptp.multiply @t91 @t102))
% 2.73/3.02  (define @t104 () (tptp.multiply @t90 @t27))
% 2.73/3.02  (define @t105 () (tptp.add @t27 @t88))
% 2.73/3.02  (define @t106 () (tptp.add @t27 @t28))
% 2.73/3.02  (define @t107 () (tptp.multiply @t27 @t106))
% 2.73/3.02  (define @t108 () (tptp.multiply @t27 @t91))
% 2.73/3.02  (define @t109 () (tptp.multiply @t91 @t108))
% 2.73/3.02  (define @t110 () (tptp.add @t27 @t109))
% 2.73/3.02  (define @t111 () (tptp.add @t27 @t110))
% 2.73/3.02  (define @t112 () (tptp.multiply @t27 @t111))
% 2.73/3.02  (define @t113 () (tptp.add @t109 @t88))
% 2.73/3.02  (define @t114 () (@list @t27 @t27))
% 2.73/3.02  (define @t115 () (tptp.inverse @t27))
% 2.73/3.02  (define @t116 () (tptp.multiply @t27 @t115))
% 2.73/3.02  (define @t117 () (tptp.multiply @t27 @t27))
% 2.73/3.02  (define @t118 () (tptp.add @t117 @t116))
% 2.73/3.02  (define @t119 () (tptp.add @t27 @t115))
% 2.73/3.02  (define @t120 () (tptp.add @t27 @t27))
% 2.73/3.02  (define @t121 () (tptp.multiply @t120 @t119))
% 2.73/3.02  (define @t122 () (tptp.multiply @t119 @t115))
% 2.73/3.02  (define @t123 () (tptp.multiply @t27 tptp.b))
% 2.73/3.02  (define @t124 () (tptp.add @t123 tptp.b))
% 2.73/3.02  (define @t125 () (tptp.multiply @t27 @t93))
% 2.73/3.02  (define @t126 () (@list @t27 tptp.b))
% 2.73/3.02  (define @t127 () (tptp.add @t123 @t123))
% 2.73/3.02  (define @t128 () (tptp.multiply @t27 @t123))
% 2.73/3.02  (define @t129 () (tptp.add @t123 @t117))
% 2.73/3.02  (define @t130 () (tptp.multiply @t27 (tptp.multiply @t125 tptp.b)))
% 2.73/3.02  (define @t131 () (tptp.multiply @t27 @t92))
% 2.73/3.02  (define @t132 () (tptp.add @t131 @t93))
% 2.73/3.02  (define @t133 () (tptp.multiply tptp.b @t27))
% 2.73/3.02  (define @t134 () (tptp.multiply @t124 @t27))
% 2.73/3.02  (define @t135 () (tptp.add @t116 @t115))
% 2.73/3.02  (define @t136 () (tptp.add @t134 @t116))
% 2.73/3.02  (define @t137 () (tptp.add @t116 @t27))
% 2.73/3.02  (define @t138 () (tptp.multiply @t111 tptp.b))
% 2.73/3.02  (define @t139 () (tptp.multiply @t119 @t138))
% 2.73/3.02  (define @t140 () (tptp.multiply @t27 @t139))
% 2.73/3.02  (define @t141 () (@list @t27 @t115))
% 2.73/3.02  (define @t142 () (tptp.multiply @t115 @t27))
% 2.73/3.02  (define @t143 () (tptp.add @t116 @t131))
% 2.73/3.02  (define @t144 () (tptp.add @t143 @t93))
% 2.73/3.02  (define @t145 () (tptp.add @t116 @t132))
% 2.73/3.02  (define @t146 () (= @t144 @t145))
% 2.73/3.02  (define @t147 () (@list @t116 @t131 @t93))
% 2.73/3.02  (define @t148 () (@list @t23))
% 2.73/3.02  (define @t149 () (tptp.add @t116 tptp.b))
% 2.73/3.02  (define @t150 () (@list @t116 tptp.b))
% 2.73/3.02  (define @t151 () (tptp.multiply @t119 @t119))
% 2.73/3.02  (define @t152 () (tptp.multiply @t124 @t120))
% 2.73/3.02  (define @t153 () (tptp.multiply @t152 @t119))
% 2.73/3.02  (define @t154 () (@list @t115 tptp.b))
% 2.73/3.02  (define @t155 () (tptp.add @t115 @t27))
% 2.73/3.02  (define @t156 () (tptp.add @t115 tptp.b))
% 2.73/3.02  (define @t157 () (@list @t119 tptp.b))
% 2.73/3.02  (define @t158 () (tptp.multiply @t119 @t27))
% 2.73/3.02  (define @t159 () (tptp.multiply (tptp.multiply @t119 @t28) @t92))
% 2.73/3.02  (define @t160 () (tptp.multiply @t119 @t94))
% 2.73/3.02  (define @t161 () (= @t159 @t160))
% 2.73/3.02  (define @t162 () (tptp.multiply @t119 tptp.b))
% 2.73/3.02  (define @t163 () (tptp.multiply @t28 @t119))
% 2.73/3.02  (define @t164 () (tptp.multiply @t119 @t91))
% 2.73/3.02  (define @t165 () (tptp.multiply @t27 @t94))
% 2.73/3.02  (define @t166 () (tptp.multiply @t149 @t28))
% 2.73/3.02  (define @t167 () (tptp.multiply @t115 @t166))
% 2.73/3.02  (define @t168 () (tptp.add @t165 @t93))
% 2.73/3.02  (define @t169 () (tptp.multiply (tptp.add @t28 @t165) @t168))
% 2.73/3.02  (define @t170 () (tptp.multiply @t167 tptp.b))
% 2.73/3.02  (define @t171 () (tptp.multiply @t166 tptp.b))
% 2.73/3.02  (define @t172 () (tptp.multiply @t115 @t171))
% 2.73/3.02  (define @t173 () (= @t170 @t172))
% 2.73/3.02  (define @t174 () (tptp.multiply @t115 tptp.b))
% 2.73/3.02  (define @t175 () (tptp.add tptp.b @t123))
% 2.73/3.02  (define @t176 () (tptp.multiply @t119 @t153))
% 2.73/3.02  (define @t177 () (tptp.multiply @t27 @t171))
% 2.73/3.02  (define @t178 () (tptp.add @t177 @t119))
% 2.73/3.02  (define @t179 () (tptp.add @t136 tptp.b))
% 2.73/3.02  (define @t180 () (tptp.add @t116 @t117))
% 2.73/3.02  (define @t181 () (tptp.add @t115 @t180))
% 2.73/3.02  (define @t182 () (tptp.multiply @t115 (tptp.multiply @t119 @t120)))
% 2.73/3.02  (define @t183 () (tptp.multiply @t115 @t120))
% 2.73/3.02  (define @t184 () (tptp.add tptp.b @t117))
% 2.73/3.02  (define @t185 () (tptp.add @t184 @t116))
% 2.73/3.02  (define @t186 () (tptp.multiply @t185 @t180))
% 2.73/3.02  (define @t187 () (tptp.add @t116 @t116))
% 2.73/3.02  (define @t188 () (tptp.add @t187 @t119))
% 2.73/3.02  (define @t189 () (tptp.add @t116 @t95))
% 2.73/3.02  (define @t190 () (tptp.multiply @t27 @t122))
% 2.73/3.02  (define @t191 () (tptp.add @t91 @t117))
% 2.73/3.02  (define @t192 () (tptp.add @t184 @t187))
% 2.73/3.02  (define @t193 () (tptp.add @t187 @t115))
% 2.73/3.02  (define @t194 () (tptp.multiply @t93 @t28))
% 2.73/3.02  (define @t195 () (tptp.multiply @t105 @t115))
% 2.73/3.02  (define @t196 () (tptp.multiply @t105 @t27))
% 2.73/3.02  (define @t197 () (@list @t27 @t88))
% 2.73/3.02  (define @t198 () (tptp.multiply @t105 (tptp.add @t88 @t27)))
% 2.73/3.02  (define @t199 () (tptp.add @t89 @t88))
% 2.73/3.02  (define @t200 () (tptp.add @t74 @t99))
% 2.73/3.02  (define @t201 () (tptp.add @t134 @t89))
% 2.73/3.02  (define @t202 () (tptp.add @t201 tptp.b))
% 2.73/3.02  (define @t203 () (tptp.add @t89 @t127))
% 2.73/3.02  (define @t204 () (tptp.add @t89 @t115))
% 2.73/3.02  (define @t205 () (tptp.multiply @t203 @t89))
% 2.73/3.02  (define @t206 () (tptp.add (tptp.multiply @t123 @t203) @t205))
% 2.73/3.02  (define @t207 () (tptp.add @t200 @t100))
% 2.73/3.02  (define @t208 () (= @t207 @t101))
% 2.73/3.02  (define @t209 () (@list tptp.a tptp.b))
% 2.73/3.02  (define @t210 () (tptp.multiply tptp.a tptp.b))
% 2.73/3.02  (define @t211 () (tptp.multiply @t27 tptp.a))
% 2.73/3.02  (define @t212 () (tptp.multiply @t28 @t29))
% 2.73/3.02  (define @t213 () (tptp.multiply tptp.a (tptp.multiply @t27 @t212)))
% 2.73/3.02  (define @t214 () (tptp.multiply tptp.b @t25))
% 2.73/3.02  (define @t215 () (tptp.add @t67 @t27))
% 2.73/3.02  (assume @p1 @t6)
% 2.73/3.02  (assume @p2 @t10)
% 2.73/3.02  (assume @p3 @t15)
% 2.73/3.02  (assume @p4 @t17)
% 2.73/3.02  (assume @p5 @t20)
% 2.73/3.02  (assume @p6 @t22)
% 2.73/3.02  (assume @p7 (forall @t14 (= @t12 (tptp.add @t3 @t1))))
% 2.73/3.02  (assume @p8 (forall @t14 (= @t8 (tptp.multiply @t3 @t1))))
% 2.73/3.02  (assume @p9 @t23)
% 2.73/3.02  (assume @p10 @t24)
% 2.73/3.02  (assume @p11 (not (= @t28 @t26)))
% 2.73/3.02  (step @p12 :rule bool-eq-false :args (@t34))
% 2.73/3.02  (step @p13 :rule symm :premises (@p12))
% 2.73/3.02  (step @p14 :rule eq-symm :args (@t31 @t33))
% 2.73/3.02  (step @p15 :rule cong :premises (@p14) :args ((not @t35)))
% 2.73/3.02  (step @p16 :rule bool-eq-false :args (@t35))
% 2.73/3.02  (step @p17 :rule trans :premises (@p16 @p15))
% 2.73/3.02  (step @p18 :rule trans :premises (@p17 @p13))
% 2.73/3.03  (step @p19 :rule false_intro :premises (@p11))
% 2.73/3.03  (step @p20 :rule instantiate :premises (@p7) :args ((@list tptp.a @t25)))
% 2.73/3.03  (step @p21 :rule symm :premises (@p20))
% 2.73/3.03  (step @p22 :rule eq-symm :args (@t9 @t3))
% 2.73/3.03  (step @p23 :rule cong :premises (@p22) :args (@t10))
% 2.73/3.03  (step @p24 :rule eq_resolve :premises (@p2 @p23))
% 2.73/3.03  (step @p25 :rule instantiate :premises (@p24) :args ((@list @t39 @t37 @t36)))
% 2.73/3.03  (step @p26 :rule symm :premises (@p25))
% 2.73/3.03  (step @p27 :rule eq-symm :args (@t19 @t3))
% 2.73/3.03  (step @p28 :rule cong :premises (@p27) :args (@t20))
% 2.73/3.03  (step @p29 :rule eq_resolve :premises (@p5 @p28))
% 2.73/3.03  (step @p30 :rule instantiate :premises (@p29) :args ((@list tptp.a @t25 tptp.a)))
% 2.73/3.03  (step @p31 :rule symm :premises (@p30))
% 2.73/3.03  (step @p32 :rule instantiate :premises (@p24) :args ((@list @t40 tptp.a tptp.a)))
% 2.73/3.03  (step @p33 :rule symm :premises (@p32))
% 2.73/3.03  (step @p34 :rule instantiate :premises (@p29) :args ((@list tptp.a tptp.a @t25)))
% 2.73/3.03  (step @p35 :rule symm :premises (@p34))
% 2.73/3.03  (step @p36 :rule eq-symm :args (@t13 @t1))
% 2.73/3.03  (step @p37 :rule cong :premises (@p36) :args (@t15))
% 2.73/3.03  (step @p38 :rule eq_resolve :premises (@p3 @p37))
% 2.73/3.03  (step @p39 :rule instantiate :premises (@p38) :args ((@list tptp.a tptp.a)))
% 2.73/3.03  (step @p40 :rule symm :premises (@p39))
% 2.73/3.03  (step @p41 :rule instantiate :premises (@p8) :args ((@list @t36 @t26)))
% 2.73/3.03  (step @p42 :rule symm :premises (@p41))
% 2.73/3.03  (step @p43 :rule trans :premises (@p42 @p40))
% 2.73/3.03  (step @p44 :rule refl :args (@t40))
% 2.73/3.03  (step @p45 :rule cong :premises (@p44 @p43) :args (@t42))
% 2.73/3.03  (step @p46 :rule symm :premises (@p43))
% 2.73/3.03  (step @p47 :rule cong :premises (@p42 @p46) :args ((tptp.multiply @t41 tptp.a)))
% 2.73/3.03  (step @p48 :rule instantiate :premises (@p10) :args ((@list @t26 @t36 tptp.a)))
% 2.73/3.03  (step @p49 :rule symm :premises (@p48))
% 2.73/3.03  (step @p50 :rule trans :premises (@p49 @p47 @p45 @p35))
% 2.73/3.03  (step @p51 :rule cong :premises (@p40 @p43) :args (@t42))
% 2.73/3.03  (step @p52 :rule symm :premises (@p45))
% 2.73/3.03  (step @p53 :rule trans :premises (@p34 @p52 @p51))
% 2.73/3.03  (step @p54 :rule cong :premises (@p34 @p53) :args (@t36))
% 2.73/3.03  (step @p55 :rule cong :premises (@p54 @p50) :args ((tptp.add @t36 (tptp.multiply @t26 (tptp.multiply @t36 tptp.a)))))
% 2.73/3.03  (step @p56 :rule eq-symm :args (@t4 @t1))
% 2.73/3.03  (step @p57 :rule cong :premises (@p56) :args (@t6))
% 2.73/3.03  (step @p58 :rule eq_resolve :premises (@p1 @p57))
% 2.73/3.03  (step @p59 :rule instantiate :premises (@p58) :args ((@list @t36 @t26 tptp.a)))
% 2.73/3.03  (step @p60 :rule cong :premises (@p43 @p40) :args ((tptp.add @t41 @t40)))
% 2.73/3.03  (step @p61 :rule trans :premises (@p60 @p59 @p55 @p33))
% 2.73/3.03  (step @p62 :rule symm :premises (@p60))
% 2.73/3.03  (step @p63 :rule symm :premises (@p59))
% 2.73/3.03  (step @p64 :rule symm :premises (@p55))
% 2.73/3.03  (step @p65 :rule instantiate :premises (@p10) :args ((@list @t40 @t26 @t36)))
% 2.73/3.03  (step @p66 :rule trans :premises (@p65 @p45 @p35 @p39))
% 2.73/3.03  (step @p67 :rule cong :premises (@p66 @p46) :args ((tptp.multiply (tptp.multiply (tptp.multiply @t40 @t26) @t36) tptp.a)))
% 2.73/3.03  (step @p68 :rule trans :premises (@p59 @p55 @p33))
% 2.73/3.03  (step @p69 :rule symm :premises (@p66))
% 2.73/3.03  (step @p70 :rule trans :premises (@p39 @p69))
% 2.73/3.03  (step @p71 :rule cong :premises (@p70 @p68) :args ((tptp.multiply tptp.a @t36)))
% 2.73/3.03  (step @p72 :rule instantiate :premises (@p29) :args ((@list @t27 tptp.a @t25)))
% 2.73/3.03  (step @p73 :rule symm :premises (@p72))
% 2.73/3.03  (step @p74 :rule trans :premises (@p73 @p32 @p64 @p63))
% 2.73/3.03  (step @p75 :rule cong :premises (@p40 @p74) :args (@t44))
% 2.73/3.03  (step @p76 :rule trans :premises (@p75 @p71 @p67 @p45 @p35 @p32 @p64 @p63 @p62))
% 2.73/3.03  (step @p77 :rule trans :premises (@p76 @p61))
% 2.73/3.03  (step @p78 :rule cong :premises (@p77 @p31) :args (@t47))
% 2.73/3.03  (step @p79 :rule trans :premises (@p78 @p20))
% 2.73/3.03  (step @p80 :rule refl :args (@t36))
% 2.73/3.03  (step @p81 :rule cong :premises (@p20 @p80) :args (@t41))
% 2.73/3.03  (step @p82 :rule refl :args (@t26))
% 2.73/3.03  (step @p83 :rule cong :premises (@p82 @p74) :args (@t48))
% 2.73/3.03  (step @p84 :rule trans :premises (@p83 @p81))
% 2.73/3.03  (step @p85 :rule eq-symm :args (@t49 @t50))
% 2.73/3.03  (step @p86 :rule refl :args (@t24))
% 2.73/3.03  (step @p87 :rule cong :premises (@p86 @p85) :args ((=> @t24 @t51)))
% 2.73/3.03  (assume-push @p1003 @t24)
% 2.73/3.03  (step @p89 :rule instantiate :premises (@p10) :args ((@list @t38 @t26 @t37)))
% 2.73/3.03  (step-pop @p1004 :rule scope :premises (@p89))
% 2.73/3.03  (step @p90 :rule process_scope :premises (@p1004) :args (@t51))
% 2.73/3.03  (step @p92 :rule eq_resolve :premises (@p90 @p87))
% 2.73/3.03  (step @p93 :rule implies_elim :premises (@p92))
% 2.73/3.03  (step @p94 :rule chain_m_resolution :premises (@p93 @p10) :args ((= @t50 @t49) @t52 @t53))
% 2.73/3.03  (step @p95 :rule instantiate :premises (@p24) :args ((@list @t36 @t26 @t36)))
% 2.73/3.03  (step @p96 :rule symm :premises (@p95))
% 2.73/3.03  (step @p97 :rule cong :premises (@p39 @p46) :args (@t36))
% 2.73/3.03  (step @p98 :rule trans :premises (@p60 @p97))
% 2.73/3.03  (step @p99 :rule symm :premises (@p61))
% 2.73/3.03  (step @p100 :rule trans :premises (@p45 @p35))
% 2.73/3.03  (step @p101 :rule trans :premises (@p100 @p99 @p98))
% 2.73/3.03  (step @p102 :rule cong :premises (@p101 @p82) :args ((tptp.add @t42 @t26)))
% 2.73/3.03  (step @p103 :rule instantiate :premises (@p58) :args ((@list @t26 @t40 @t36)))
% 2.73/3.03  (step @p104 :rule symm :premises (@p103))
% 2.73/3.03  (step @p105 :rule symm :premises (@p101))
% 2.73/3.03  (step @p106 :rule cong :premises (@p105 @p104) :args (@t55))
% 2.73/3.03  (step @p107 :rule trans :premises (@p106 @p102 @p96 @p20))
% 2.73/3.03  (step @p108 :rule cong :premises (@p82 @p107) :args ((tptp.multiply @t26 @t55)))
% 2.73/3.03  (step @p109 :rule eq-symm :args (@t16 @t1))
% 2.73/3.03  (step @p110 :rule cong :premises (@p109) :args (@t17))
% 2.73/3.03  (step @p111 :rule eq_resolve :premises (@p4 @p110))
% 2.73/3.03  (step @p112 :rule instantiate :premises (@p111) :args ((@list @t26 @t54 @t42)))
% 2.73/3.03  (step @p113 :rule trans :premises (@p112 @p108))
% 2.73/3.03  (step @p114 :rule refl :args (@t38))
% 2.73/3.03  (step @p115 :rule cong :premises (@p114 @p113) :args (@t39))
% 2.73/3.03  (step @p116 :rule trans :premises (@p115 @p94))
% 2.73/3.03  (step @p117 :rule cong :premises (@p116 @p84) :args ((tptp.add @t39 @t48)))
% 2.73/3.03  (step @p118 :rule symm :premises (@p83))
% 2.73/3.03  (step @p119 :rule trans :premises (@p75 @p71 @p67 @p45 @p35 @p39 @p41 @p118))
% 2.73/3.03  (step @p120 :rule refl :args (@t39))
% 2.73/3.03  (step @p121 :rule cong :premises (@p120 @p119) :args ((tptp.add @t39 @t44)))
% 2.73/3.03  (step @p122 :rule instantiate :premises (@p58) :args ((@list @t39 @t40 tptp.a)))
% 2.73/3.03  (step @p123 :rule symm :premises (@p115))
% 2.73/3.03  (step @p124 :rule trans :premises (@p123 @p122 @p121 @p117))
% 2.73/3.03  (step @p125 :rule trans :premises (@p115 @p124))
% 2.73/3.03  (step @p126 :rule cong :premises (@p125 @p79) :args ((tptp.add @t39 @t47)))
% 2.73/3.03  (step @p127 :rule instantiate :premises (@p9) :args ((@list @t39 @t44 @t46)))
% 2.73/3.03  (step @p128 :rule refl :args (@t46))
% 2.73/3.03  (step @p129 :rule trans :premises (@p123 @p122))
% 2.73/3.03  (step @p130 :rule cong :premises (@p129 @p128) :args ((tptp.add @t50 @t46)))
% 2.73/3.03  (step @p131 :rule symm :premises (@p129))
% 2.73/3.03  (step @p132 :rule instantiate :premises (@p8) :args ((@list @t38 @t26)))
% 2.73/3.03  (step @p133 :rule symm :premises (@p132))
% 2.73/3.03  (step @p134 :rule instantiate :premises (@p7) :args (@t56))
% 2.73/3.03  (step @p135 :rule symm :premises (@p134))
% 2.73/3.03  (step @p136 :rule cong :premises (@p21 @p135) :args ((tptp.multiply @t37 (tptp.add tptp.a @t27))))
% 2.73/3.03  (step @p137 :rule eq-symm :args (@t21 @t1))
% 2.73/3.03  (step @p138 :rule cong :premises (@p137) :args (@t22))
% 2.73/3.03  (step @p139 :rule eq_resolve :premises (@p6 @p138))
% 2.73/3.03  (step @p140 :rule instantiate :premises (@p139) :args (@t56))
% 2.73/3.03  (step @p141 :rule symm :premises (@p140))
% 2.73/3.03  (step @p142 :rule refl :args (@t57))
% 2.73/3.03  (step @p143 :rule instantiate :premises (@p8) :args (@t56))
% 2.73/3.03  (step @p144 :rule symm :premises (@p143))
% 2.73/3.03  (step @p145 :rule cong :premises (@p144 @p142) :args (@t59))
% 2.73/3.03  (step @p146 :rule trans :premises (@p145 @p141))
% 2.73/3.03  (step @p147 :rule cong :premises (@p35 @p146) :args ((tptp.add @t60 @t59)))
% 2.73/3.03  (step @p148 :rule instantiate :premises (@p9) :args ((@list @t60 @t58 @t57)))
% 2.73/3.03  (step @p149 :rule refl :args (@t27))
% 2.73/3.03  (step @p150 :rule cong :premises (@p149 @p68) :args (@t61))
% 2.73/3.03  (step @p151 :rule trans :premises (@p150 @p143))
% 2.73/3.03  (step @p152 :rule trans :premises (@p35 @p32 @p64 @p63 @p62))
% 2.73/3.03  (step @p153 :rule symm :premises (@p152))
% 2.73/3.03  (step @p154 :rule trans :premises (@p60 @p59 @p55 @p33 @p39))
% 2.73/3.03  (step @p155 :rule symm :premises (@p154))
% 2.73/3.03  (step @p156 :rule trans :premises (@p155 @p153))
% 2.73/3.03  (step @p157 :rule cong :premises (@p156 @p151) :args ((tptp.add @t40 @t61)))
% 2.73/3.03  (step @p158 :rule instantiate :premises (@p7) :args ((@list @t61 @t40)))
% 2.73/3.03  (step @p159 :rule instantiate :premises (@p111) :args ((@list @t62 tptp.a @t36)))
% 2.73/3.03  (step @p160 :rule symm :premises (@p159))
% 2.73/3.03  (step @p161 :rule refl :args (tptp.a))
% 2.73/3.03  (step @p162 :rule cong :premises (@p161 @p68) :args ((tptp.add tptp.a @t36)))
% 2.73/3.03  (step @p163 :rule instantiate :premises (@p24) :args ((@list @t27 @t36 @t26)))
% 2.73/3.03  (step @p164 :rule symm :premises (@p163))
% 2.73/3.03  (step @p165 :rule cong :premises (@p161 @p164) :args (@t64))
% 2.73/3.03  (step @p166 :rule trans :premises (@p165 @p162 @p59 @p55 @p33 @p39))
% 2.73/3.03  (step @p167 :rule refl :args (@t25))
% 2.73/3.03  (step @p168 :rule cong :premises (@p39 @p167) :args (@t26))
% 2.73/3.03  (step @p169 :rule trans :premises (@p164 @p59 @p55 @p33))
% 2.73/3.03  (step @p170 :rule cong :premises (@p167 @p169) :args (@t65))
% 2.73/3.03  (step @p171 :rule trans :premises (@p170 @p21 @p168))
% 2.73/3.03  (step @p172 :rule refl :args (@t62))
% 2.73/3.03  (step @p173 :rule cong :premises (@p172 @p171) :args ((tptp.multiply @t62 @t65)))
% 2.73/3.03  (step @p174 :rule instantiate :premises (@p111) :args ((@list @t62 @t25 @t36)))
% 2.73/3.03  (step @p175 :rule trans :premises (@p174 @p173))
% 2.73/3.03  (step @p176 :rule cong :premises (@p175 @p166) :args ((tptp.multiply @t62 @t64)))
% 2.73/3.03  (step @p177 :rule symm :premises (@p176))
% 2.73/3.03  (step @p178 :rule instantiate :premises (@p29) :args ((@list @t61 @t40 @t25)))
% 2.73/3.03  (step @p179 :rule trans :premises (@p60 @p59 @p55 @p33 @p39 @p178 @p177 @p160 @p158 @p157))
% 2.73/3.03  (step @p180 :rule trans :premises (@p99 @p179))
% 2.73/3.03  (step @p181 :rule cong :premises (@p180 @p142) :args ((tptp.add tptp.a @t57)))
% 2.73/3.03  (step @p182 :rule instantiate :premises (@p7) :args ((@list @t57 tptp.a)))
% 2.73/3.03  (step @p183 :rule instantiate :premises (@p8) :args (@t66))
% 2.73/3.03  (step @p184 :rule symm :premises (@p183))
% 2.73/3.03  (step @p185 :rule cong :premises (@p184 @p161) :args (@t68))
% 2.73/3.03  (step @p186 :rule trans :premises (@p185 @p182 @p181 @p148 @p147))
% 2.73/3.03  (step @p187 :rule symm :premises (@p112))
% 2.73/3.03  (step @p188 :rule symm :premises (@p108))
% 2.73/3.03  (step @p189 :rule instantiate :premises (@p139) :args (@t69))
% 2.73/3.03  (step @p190 :rule symm :premises (@p189))
% 2.73/3.03  (step @p191 :rule cong :premises (@p190 @p161) :args ((tptp.add (tptp.add @t70 @t67) tptp.a)))
% 2.73/3.03  (step @p192 :rule instantiate :premises (@p9) :args ((@list @t70 @t67 tptp.a)))
% 2.73/3.03  (step @p193 :rule symm :premises (@p192))
% 2.73/3.03  (step @p194 :rule instantiate :premises (@p7) :args ((@list @t70 @t68)))
% 2.73/3.03  (step @p195 :rule symm :premises (@p194))
% 2.73/3.03  (step @p196 :rule trans :premises (@p195 @p193 @p191))
% 2.73/3.03  (step @p197 :rule trans :premises (@p193 @p191 @p21))
% 2.73/3.03  (step @p198 :rule cong :premises (@p197 @p196) :args (@t71))
% 2.73/3.03  (step @p199 :rule trans :premises (@p198 @p188 @p187))
% 2.73/3.03  (step @p200 :rule trans :premises (@p199 @p20))
% 2.73/3.03  (step @p201 :rule cong :premises (@p200 @p186) :args ((tptp.multiply @t71 @t68)))
% 2.73/3.03  (step @p202 :rule instantiate :premises (@p29) :args ((@list @t70 @t68 @t70)))
% 2.73/3.03  (step @p203 :rule symm :premises (@p185))
% 2.73/3.03  (step @p204 :rule symm :premises (@p182))
% 2.73/3.03  (step @p205 :rule symm :premises (@p181))
% 2.73/3.03  (step @p206 :rule symm :premises (@p148))
% 2.73/3.03  (step @p207 :rule symm :premises (@p147))
% 2.73/3.03  (step @p208 :rule symm :premises (@p178))
% 2.73/3.03  (step @p209 :rule trans :premises (@p159 @p176 @p208 @p40))
% 2.73/3.03  (step @p210 :rule instantiate :premises (@p38) :args (@t56))
% 2.73/3.03  (step @p211 :rule symm :premises (@p210))
% 2.73/3.03  (step @p212 :rule instantiate :premises (@p7) :args (@t66))
% 2.73/3.03  (step @p213 :rule symm :premises (@p212))
% 2.73/3.03  (step @p214 :rule instantiate :premises (@p139) :args (@t72))
% 2.73/3.03  (step @p215 :rule symm :premises (@p214))
% 2.73/3.03  (step @p216 :rule instantiate :premises (@p7) :args ((@list @t74 @t73)))
% 2.73/3.03  (step @p217 :rule symm :premises (@p216))
% 2.73/3.03  (step @p218 :rule refl :args (@t74))
% 2.73/3.03  (step @p219 :rule instantiate :premises (@p58) :args ((@list @t25 @t45 @t45)))
% 2.73/3.03  (step @p220 :rule symm :premises (@p219))
% 2.73/3.03  (step @p221 :rule instantiate :premises (@p8) :args ((@list @t45 @t25)))
% 2.73/3.03  (step @p222 :rule trans :premises (@p30 @p221))
% 2.73/3.03  (step @p223 :rule trans :premises (@p21 @p113))
% 2.73/3.03  (step @p224 :rule cong :premises (@p223 @p222) :args ((tptp.multiply @t37 @t25)))
% 2.73/3.03  (step @p225 :rule symm :premises (@p223))
% 2.73/3.03  (step @p226 :rule cong :premises (@p225 @p31) :args ((tptp.multiply @t45 @t46)))
% 2.73/3.03  (step @p227 :rule refl :args (@t45))
% 2.73/3.03  (step @p228 :rule cong :premises (@p227 @p30) :args (@t46))
% 2.73/3.03  (step @p229 :rule trans :premises (@p220 @p30 @p228 @p226 @p224))
% 2.73/3.03  (step @p230 :rule cong :premises (@p167 @p229) :args (@t76))
% 2.73/3.03  (step @p231 :rule trans :premises (@p230 @p220))
% 2.73/3.03  (step @p232 :rule cong :premises (@p167 @p231) :args (@t77))
% 2.73/3.03  (step @p233 :rule instantiate :premises (@p111) :args ((@list @t25 @t25 @t75)))
% 2.73/3.03  (step @p234 :rule trans :premises (@p233 @p232))
% 2.73/3.03  (step @p235 :rule trans :premises (@p31 @p234))
% 2.73/3.03  (step @p236 :rule cong :premises (@p235 @p218) :args (@t78))
% 2.73/3.03  (step @p237 :rule trans :premises (@p236 @p217 @p215))
% 2.73/3.03  (step @p238 :rule cong :premises (@p237 @p149) :args ((tptp.add @t78 @t27)))
% 2.73/3.03  (step @p239 :rule instantiate :premises (@p9) :args ((@list @t46 @t74 @t27)))
% 2.73/3.03  (step @p240 :rule symm :premises (@p239))
% 2.73/3.03  (step @p241 :rule instantiate :premises (@p7) :args ((@list @t46 @t79)))
% 2.73/3.03  (step @p242 :rule symm :premises (@p241))
% 2.73/3.03  (step @p243 :rule refl :args (@t79))
% 2.73/3.03  (step @p244 :rule cong :premises (@p243 @p30) :args (@t80))
% 2.73/3.03  (step @p245 :rule trans :premises (@p244 @p242 @p240 @p238 @p213))
% 2.73/3.03  (step @p246 :rule instantiate :premises (@p24) :args ((@list @t81 tptp.a @t25)))
% 2.73/3.03  (step @p247 :rule symm :premises (@p246))
% 2.73/3.03  (step @p248 :rule instantiate :premises (@p8) :args (@t72))
% 2.73/3.03  (step @p249 :rule instantiate :premises (@p10) :args ((@list @t25 @t40 tptp.a)))
% 2.73/3.03  (step @p250 :rule symm :premises (@p249))
% 2.73/3.03  (step @p251 :rule cong :premises (@p167 @p34) :args (@t74))
% 2.73/3.03  (step @p252 :rule trans :premises (@p251 @p250))
% 2.73/3.03  (step @p253 :rule cong :premises (@p252 @p248) :args ((tptp.add @t74 @t74)))
% 2.73/3.03  (step @p254 :rule instantiate :premises (@p111) :args ((@list @t74 tptp.a @t73)))
% 2.73/3.03  (step @p255 :rule symm :premises (@p254))
% 2.73/3.03  (step @p256 :rule symm :premises (@p233))
% 2.73/3.03  (step @p257 :rule cong :premises (@p256 @p161) :args ((tptp.multiply @t77 tptp.a)))
% 2.73/3.03  (step @p258 :rule instantiate :premises (@p10) :args ((@list @t25 @t76 tptp.a)))
% 2.73/3.03  (step @p259 :rule symm :premises (@p258))
% 2.73/3.03  (step @p260 :rule symm :premises (@p231))
% 2.73/3.03  (step @p261 :rule cong :premises (@p260 @p161) :args (@t74))
% 2.73/3.03  (step @p262 :rule cong :premises (@p167 @p261) :args (@t82))
% 2.73/3.03  (step @p263 :rule trans :premises (@p262 @p259 @p257))
% 2.73/3.03  (step @p264 :rule cong :premises (@p263 @p255) :args ((tptp.add @t82 (tptp.multiply @t74 (tptp.add tptp.a (tptp.add @t74 @t73))))))
% 2.73/3.03  (step @p265 :rule symm :premises (@p264))
% 2.73/3.03  (step @p266 :rule symm :premises (@p251))
% 2.73/3.03  (step @p267 :rule trans :premises (@p249 @p266 @p261))
% 2.85/3.03  (step @p268 :rule cong :premises (@p167 @p267) :args (@t83))
% 2.85/3.03  (step @p269 :rule trans :premises (@p268 @p259 @p257))
% 2.85/3.03  (step @p270 :rule cong :premises (@p167 @p40) :args (@t81))
% 2.85/3.03  (step @p271 :rule cong :premises (@p270 @p269) :args ((tptp.add @t81 @t83)))
% 2.85/3.03  (step @p272 :rule instantiate :premises (@p58) :args ((@list @t81 @t25 tptp.a)))
% 2.85/3.03  (step @p273 :rule symm :premises (@p270))
% 2.85/3.03  (step @p274 :rule trans :premises (@p273 @p272 @p271 @p265))
% 2.85/3.03  (step @p275 :rule cong :premises (@p167 @p68) :args (@t84))
% 2.85/3.03  (step @p276 :rule trans :premises (@p275 @p274 @p264 @p253))
% 2.85/3.03  (step @p277 :rule cong :premises (@p276 @p40) :args (@t85))
% 2.85/3.03  (step @p278 :rule trans :premises (@p277 @p247))
% 2.85/3.03  (step @p279 :rule cong :premises (@p149 @p278) :args ((tptp.add @t27 @t85)))
% 2.85/3.03  (step @p280 :rule instantiate :premises (@p9) :args ((@list @t27 @t84 @t40)))
% 2.85/3.03  (step @p281 :rule symm :premises (@p275))
% 2.85/3.03  (step @p282 :rule cong :premises (@p149 @p281) :args ((tptp.add @t27 @t74)))
% 2.85/3.03  (step @p283 :rule instantiate :premises (@p7) :args ((@list @t74 @t27)))
% 2.85/3.03  (step @p284 :rule trans :premises (@p283 @p282))
% 2.85/3.03  (step @p285 :rule cong :premises (@p284 @p39) :args (@t86))
% 2.85/3.03  (step @p286 :rule trans :premises (@p285 @p280 @p279))
% 2.85/3.03  (step @p287 :rule cong :premises (@p286 @p245) :args ((tptp.multiply @t86 @t80)))
% 2.85/3.03  (step @p288 :rule instantiate :premises (@p38) :args ((@list @t79 tptp.a)))
% 2.85/3.03  (step @p289 :rule instantiate :premises (@p139) :args (@t87))
% 2.85/3.03  (step @p290 :rule symm :premises (@p289))
% 2.85/3.03  (step @p291 :rule refl :args (@t89))
% 2.85/3.03  (step @p292 :rule instantiate :premises (@p29) :args ((@list tptp.b @t27 tptp.b)))
% 2.85/3.03  (step @p293 :rule symm :premises (@p292))
% 2.85/3.03  (step @p294 :rule instantiate :premises (@p8) :args ((@list @t91 @t27)))
% 2.85/3.03  (step @p295 :rule symm :premises (@p294))
% 2.85/3.03  (step @p296 :rule instantiate :premises (@p7) :args ((@list tptp.b @t27)))
% 2.85/3.03  (step @p297 :rule instantiate :premises (@p24) :args ((@list @t92 @t28 @t92)))
% 2.85/3.03  (step @p298 :rule symm :premises (@p297))
% 2.85/3.03  (step @p299 :rule refl :args (@t28))
% 2.85/3.03  (step @p300 :rule instantiate :premises (@p38) :args ((@list tptp.b tptp.b)))
% 2.85/3.03  (step @p301 :rule symm :premises (@p300))
% 2.85/3.03  (step @p302 :rule instantiate :premises (@p8) :args ((@list @t92 @t28)))
% 2.85/3.03  (step @p303 :rule symm :premises (@p302))
% 2.85/3.03  (step @p304 :rule trans :premises (@p303 @p301))
% 2.85/3.03  (step @p305 :rule symm :premises (@p304))
% 2.85/3.03  (step @p306 :rule cong :premises (@p300 @p305) :args (@t92))
% 2.85/3.03  (step @p307 :rule cong :premises (@p304 @p301) :args ((tptp.add @t94 @t93)))
% 2.85/3.03  (step @p308 :rule trans :premises (@p307 @p306))
% 2.85/3.03  (step @p309 :rule instantiate :premises (@p24) :args ((@list @t93 tptp.b tptp.b)))
% 2.85/3.03  (step @p310 :rule symm :premises (@p309))
% 2.85/3.03  (step @p311 :rule instantiate :premises (@p29) :args ((@list tptp.b tptp.b @t27)))
% 2.85/3.03  (step @p312 :rule symm :premises (@p311))
% 2.85/3.03  (step @p313 :rule refl :args (@t93))
% 2.85/3.03  (step @p314 :rule cong :premises (@p313 @p304) :args (@t95))
% 2.85/3.03  (step @p315 :rule cong :premises (@p303 @p305) :args ((tptp.multiply @t94 tptp.b)))
% 2.85/3.03  (step @p316 :rule instantiate :premises (@p10) :args ((@list @t28 @t92 tptp.b)))
% 2.85/3.03  (step @p317 :rule symm :premises (@p316))
% 2.85/3.03  (step @p318 :rule trans :premises (@p317 @p315 @p314 @p312))
% 2.85/3.03  (step @p319 :rule cong :premises (@p301 @p304) :args (@t95))
% 2.85/3.03  (step @p320 :rule symm :premises (@p314))
% 2.85/3.03  (step @p321 :rule trans :premises (@p311 @p320 @p319))
% 2.85/3.03  (step @p322 :rule cong :premises (@p311 @p321) :args (@t92))
% 2.85/3.03  (step @p323 :rule cong :premises (@p322 @p318) :args ((tptp.add @t92 (tptp.multiply @t28 (tptp.multiply @t92 tptp.b)))))
% 2.85/3.03  (step @p324 :rule instantiate :premises (@p58) :args ((@list @t92 @t28 tptp.b)))
% 2.85/3.03  (step @p325 :rule trans :premises (@p307 @p324 @p323 @p310))
% 2.85/3.03  (step @p326 :rule symm :premises (@p325))
% 2.85/3.03  (step @p327 :rule trans :premises (@p314 @p312))
% 2.85/3.03  (step @p328 :rule trans :premises (@p327 @p326 @p308))
% 2.85/3.03  (step @p329 :rule cong :premises (@p328 @p299) :args (@t96))
% 2.85/3.03  (step @p330 :rule instantiate :premises (@p58) :args ((@list @t28 @t93 @t92)))
% 2.85/3.03  (step @p331 :rule symm :premises (@p330))
% 2.85/3.03  (step @p332 :rule symm :premises (@p328))
% 2.85/3.03  (step @p333 :rule cong :premises (@p332 @p331) :args (@t98))
% 2.85/3.03  (step @p334 :rule trans :premises (@p333 @p329 @p298 @p296))
% 2.85/3.03  (step @p335 :rule cong :premises (@p299 @p334) :args ((tptp.multiply @t28 @t98)))
% 2.85/3.03  (step @p336 :rule instantiate :premises (@p111) :args ((@list @t28 @t97 @t95)))
% 2.85/3.03  (step @p337 :rule trans :premises (@p336 @p335))
% 2.85/3.03  (step @p338 :rule cong :premises (@p149 @p337) :args (@t99))
% 2.85/3.03  (step @p339 :rule trans :premises (@p338 @p295 @p293))
% 2.85/3.03  (step @p340 :rule symm :premises (@p339))
% 2.85/3.03  (step @p341 :rule trans :premises (@p290 @p340))
% 2.85/3.03  (step @p342 :rule cong :premises (@p341 @p291) :args ((tptp.add (tptp.add @t99 @t89) @t89)))
% 2.85/3.03  (step @p343 :rule instantiate :premises (@p9) :args ((@list @t99 @t89 @t89)))
% 2.85/3.03  (step @p344 :rule symm :premises (@p343))
% 2.85/3.03  (step @p345 :rule trans :premises (@p344 @p342 @p290))
% 2.85/3.03  (step @p346 :rule cong :premises (@p218 @p345) :args (@t101))
% 2.85/3.03  (step @p347 :rule instantiate :premises (@p9) :args ((@list @t74 @t99 @t100)))
% 2.85/3.03  (step @p348 :rule refl :args (@t88))
% 2.85/3.03  (step @p349 :rule refl :args (@t91))
% 2.85/3.03  (step @p350 :rule cong :premises (@p349 @p292) :args (@t102))
% 2.85/3.03  (step @p351 :rule symm :premises (@p350))
% 2.85/3.03  (step @p352 :rule symm :premises (@p296))
% 2.85/3.03  (step @p353 :rule trans :premises (@p352 @p337))
% 2.85/3.03  (step @p354 :rule symm :premises (@p353))
% 2.85/3.03  (step @p355 :rule cong :premises (@p354 @p293) :args (@t103))
% 2.85/3.03  (step @p356 :rule symm :premises (@p355))
% 2.85/3.03  (step @p357 :rule trans :premises (@p292 @p294))
% 2.85/3.03  (step @p358 :rule cong :premises (@p353 @p357) :args (@t104))
% 2.85/3.03  (step @p359 :rule symm :premises (@p358))
% 2.85/3.03  (step @p360 :rule trans :premises (@p359 @p356 @p351 @p293))
% 2.85/3.03  (step @p361 :rule symm :premises (@p360))
% 2.85/3.03  (step @p362 :rule cong :premises (@p361 @p348) :args (@t105))
% 2.85/3.03  (step @p363 :rule instantiate :premises (@p58) :args ((@list @t27 @t91 @t91)))
% 2.85/3.03  (step @p364 :rule symm :premises (@p336))
% 2.85/3.03  (step @p365 :rule symm :premises (@p335))
% 2.85/3.03  (step @p366 :rule instantiate :premises (@p58) :args ((@list @t91 @t91 @t27)))
% 2.85/3.03  (step @p367 :rule symm :premises (@p366))
% 2.85/3.03  (step @p368 :rule instantiate :premises (@p7) :args ((@list @t91 @t103)))
% 2.85/3.03  (step @p369 :rule symm :premises (@p368))
% 2.85/3.03  (step @p370 :rule trans :premises (@p292 @p350))
% 2.85/3.03  (step @p371 :rule trans :premises (@p339 @p370))
% 2.85/3.03  (step @p372 :rule cong :premises (@p371 @p349) :args ((tptp.add @t99 @t91)))
% 2.85/3.03  (step @p373 :rule cong :premises (@p340 @p337) :args (@t106))
% 2.85/3.03  (step @p374 :rule trans :premises (@p373 @p372 @p369 @p367 @p365 @p364))
% 2.85/3.03  (step @p375 :rule cong :premises (@p149 @p374) :args (@t107))
% 2.85/3.03  (step @p376 :rule trans :premises (@p375 @p338 @p295 @p293))
% 2.85/3.03  (step @p377 :rule trans :premises (@p376 @p363))
% 2.85/3.03  (step @p378 :rule cong :premises (@p377 @p362) :args ((tptp.multiply @t107 @t105)))
% 2.85/3.03  (step @p379 :rule instantiate :premises (@p10) :args ((@list @t27 @t106 @t105)))
% 2.85/3.03  (step @p380 :rule symm :premises (@p379))
% 2.85/3.03  (step @p381 :rule instantiate :premises (@p38) :args (@t87))
% 2.85/3.03  (step @p382 :rule symm :premises (@p363))
% 2.85/3.03  (step @p383 :rule trans :premises (@p382 @p292 @p350 @p355 @p358))
% 2.85/3.03  (step @p384 :rule cong :premises (@p149 @p383) :args (@t111))
% 2.85/3.03  (step @p385 :rule trans :premises (@p384 @p382 @p381))
% 2.85/3.03  (step @p386 :rule cong :premises (@p149 @p385) :args (@t112))
% 2.85/3.03  (step @p387 :rule instantiate :premises (@p111) :args ((@list @t27 @t27 @t109)))
% 2.85/3.03  (step @p388 :rule trans :premises (@p387 @p386 @p380 @p378))
% 2.85/3.03  (step @p389 :rule symm :premises (@p388))
% 2.85/3.03  (step @p390 :rule cong :premises (@p389 @p348) :args ((tptp.multiply (tptp.multiply @t110 @t113) @t88)))
% 2.85/3.03  (step @p391 :rule symm :premises (@p387))
% 2.85/3.03  (step @p392 :rule symm :premises (@p386))
% 2.85/3.03  (step @p393 :rule symm :premises (@p378))
% 2.85/3.03  (step @p394 :rule instantiate :premises (@p8) :args ((@list @t110 @t113)))
% 2.85/3.03  (step @p395 :rule symm :premises (@p394))
% 2.85/3.03  (step @p396 :rule cong :premises (@p362 @p384) :args ((tptp.multiply @t105 @t111)))
% 2.85/3.03  (step @p397 :rule symm :premises (@p384))
% 2.85/3.03  (step @p398 :rule instantiate :premises (@p139) :args (@t114))
% 2.85/3.03  (step @p399 :rule symm :premises (@p398))
% 2.85/3.03  (step @p400 :rule refl :args (@t116))
% 2.85/3.03  (step @p401 :rule trans :premises (@p384 @p382))
% 2.85/3.03  (step @p402 :rule cong :premises (@p149 @p401) :args (@t112))
% 2.85/3.03  (step @p403 :rule trans :premises (@p387 @p402))
% 2.85/3.03  (step @p404 :rule trans :premises (@p399 @p403))
% 2.85/3.03  (step @p405 :rule cong :premises (@p404 @p400) :args ((tptp.add @t118 @t116)))
% 2.85/3.03  (step @p406 :rule refl :args (@t115))
% 2.85/3.03  (step @p407 :rule instantiate :premises (@p38) :args (@t114))
% 2.85/3.03  (step @p408 :rule symm :premises (@p407))
% 2.85/3.03  (step @p409 :rule refl :args (@t119))
% 2.85/3.03  (step @p410 :rule cong :premises (@p149 @p360) :args (@t110))
% 2.85/3.03  (step @p411 :rule trans :premises (@p363 @p410))
% 2.85/3.03  (step @p412 :rule symm :premises (@p411))
% 2.85/3.03  (step @p413 :rule trans :premises (@p412 @p407))
% 2.85/3.03  (step @p414 :rule cong :premises (@p413 @p409) :args (@t121))
% 2.85/3.03  (step @p415 :rule symm :premises (@p414))
% 2.85/3.03  (step @p416 :rule instantiate :premises (@p10) :args ((@list @t120 @t119 @t119)))
% 2.85/3.03  (step @p417 :rule symm :premises (@p416))
% 2.85/3.03  (step @p418 :rule trans :premises (@p417 @p415 @p408))
% 2.85/3.03  (step @p419 :rule symm :premises (@p418))
% 2.85/3.03  (step @p420 :rule cong :premises (@p419 @p406) :args (@t116))
% 2.85/3.03  (step @p421 :rule symm :premises (@p420))
% 2.85/3.03  (step @p422 :rule instantiate :premises (@p58) :args ((@list @t115 @t120 @t119)))
% 2.85/3.03  (step @p423 :rule symm :premises (@p422))
% 2.85/3.03  (step @p424 :rule instantiate :premises (@p8) :args ((@list @t119 @t115)))
% 2.85/3.03  (step @p425 :rule refl :args (@t120))
% 2.85/3.03  (step @p426 :rule cong :premises (@p425 @p424) :args ((tptp.multiply @t120 @t122)))
% 2.85/3.03  (step @p427 :rule instantiate :premises (@p10) :args ((@list @t120 @t119 @t115)))
% 2.85/3.03  (step @p428 :rule cong :premises (@p408 @p406) :args ((tptp.multiply @t121 @t115)))
% 2.85/3.03  (step @p429 :rule symm :premises (@p428))
% 2.85/3.03  (step @p430 :rule trans :premises (@p429 @p427 @p426))
% 2.85/3.03  (step @p431 :rule cong :premises (@p406 @p430) :args ((tptp.add @t115 @t116)))
% 2.85/3.03  (step @p432 :rule instantiate :premises (@p7) :args ((@list @t116 @t115)))
% 2.85/3.03  (step @p433 :rule trans :premises (@p432 @p431 @p423))
% 2.85/3.03  (step @p434 :rule instantiate :premises (@p10) :args ((@list @t124 @t120 @t119)))
% 2.85/3.03  (step @p435 :rule symm :premises (@p434))
% 2.85/3.03  (step @p436 :rule symm :premises (@p324))
% 2.85/3.03  (step @p437 :rule symm :premises (@p323))
% 2.85/3.03  (step @p438 :rule trans :premises (@p309 @p437 @p436))
% 2.85/3.03  (step @p439 :rule symm :premises (@p438))
% 2.85/3.03  (step @p440 :rule instantiate :premises (@p24) :args ((@list @t125 tptp.b @t27)))
% 2.85/3.03  (step @p441 :rule symm :premises (@p440))
% 2.85/3.03  (step @p442 :rule instantiate :premises (@p8) :args (@t126))
% 2.85/3.03  (step @p443 :rule instantiate :premises (@p10) :args ((@list @t27 @t93 tptp.b)))
% 2.85/3.03  (step @p444 :rule symm :premises (@p443))
% 2.85/3.03  (step @p445 :rule cong :premises (@p149 @p311) :args (@t123))
% 2.85/3.03  (step @p446 :rule trans :premises (@p445 @p444))
% 2.85/3.03  (step @p447 :rule cong :premises (@p446 @p442) :args (@t127))
% 2.85/3.03  (step @p448 :rule instantiate :premises (@p111) :args ((@list @t123 tptp.b @t117)))
% 2.85/3.03  (step @p449 :rule symm :premises (@p448))
% 2.85/3.03  (step @p450 :rule refl :args (tptp.b))
% 2.85/3.03  (step @p451 :rule cong :premises (@p391 @p450) :args ((tptp.multiply @t112 tptp.b)))
% 2.85/3.03  (step @p452 :rule instantiate :premises (@p10) :args ((@list @t27 @t111 tptp.b)))
% 2.85/3.03  (step @p453 :rule symm :premises (@p452))
% 2.85/3.03  (step @p454 :rule symm :premises (@p401))
% 2.85/3.03  (step @p455 :rule cong :premises (@p454 @p450) :args (@t123))
% 2.85/3.03  (step @p456 :rule cong :premises (@p149 @p455) :args (@t128))
% 2.85/3.03  (step @p457 :rule trans :premises (@p456 @p453 @p451))
% 2.85/3.03  (step @p458 :rule cong :premises (@p457 @p449) :args ((tptp.add @t128 (tptp.multiply @t123 (tptp.add tptp.b @t129)))))
% 2.85/3.03  (step @p459 :rule symm :premises (@p458))
% 2.85/3.03  (step @p460 :rule symm :premises (@p445))
% 2.85/3.03  (step @p461 :rule trans :premises (@p443 @p460 @p455))
% 2.85/3.03  (step @p462 :rule cong :premises (@p149 @p461) :args (@t130))
% 2.85/3.03  (step @p463 :rule trans :premises (@p462 @p453 @p451))
% 2.85/3.03  (step @p464 :rule cong :premises (@p149 @p301) :args (@t125))
% 2.85/3.03  (step @p465 :rule cong :premises (@p464 @p463) :args ((tptp.add @t125 @t130)))
% 2.85/3.03  (step @p466 :rule instantiate :premises (@p58) :args ((@list @t125 @t27 tptp.b)))
% 2.85/3.03  (step @p467 :rule symm :premises (@p464))
% 2.85/3.03  (step @p468 :rule trans :premises (@p467 @p466 @p465 @p459))
% 2.85/3.03  (step @p469 :rule cong :premises (@p149 @p439) :args (@t131))
% 2.85/3.03  (step @p470 :rule trans :premises (@p469 @p468 @p458 @p447))
% 2.85/3.03  (step @p471 :rule cong :premises (@p470 @p301) :args (@t132))
% 2.85/3.03  (step @p472 :rule symm :premises (@p469))
% 2.85/3.03  (step @p473 :rule cong :premises (@p472 @p300) :args (@t124))
% 2.85/3.03  (step @p474 :rule trans :premises (@p473 @p471 @p441 @p309 @p437 @p436))
% 2.85/3.03  (step @p475 :rule trans :premises (@p474 @p439))
% 2.85/3.03  (step @p476 :rule symm :premises (@p475))
% 2.85/3.03  (step @p477 :rule cong :premises (@p476 @p407) :args (@t133))
% 2.85/3.03  (step @p478 :rule trans :premises (@p442 @p477 @p435))
% 2.85/3.03  (step @p479 :rule instantiate :premises (@p38) :args ((@list @t123 tptp.b)))
% 2.85/3.03  (step @p480 :rule symm :premises (@p479))
% 2.85/3.03  (step @p481 :rule symm :premises (@p403))
% 2.85/3.03  (step @p482 :rule refl :args (@t123))
% 2.85/3.03  (step @p483 :rule cong :premises (@p482 @p481) :args (@t129))
% 2.85/3.03  (step @p484 :rule instantiate :premises (@p139) :args (@t126))
% 2.85/3.03  (step @p485 :rule trans :premises (@p484 @p483))
% 2.85/3.03  (step @p486 :rule refl :args (@t124))
% 2.85/3.03  (step @p487 :rule cong :premises (@p486 @p485) :args (@t134))
% 2.85/3.03  (step @p488 :rule trans :premises (@p487 @p480))
% 2.85/3.03  (step @p489 :rule trans :premises (@p488 @p478))
% 2.85/3.03  (step @p490 :rule cong :premises (@p489 @p433) :args ((tptp.add @t134 @t135)))
% 2.85/3.03  (step @p491 :rule instantiate :premises (@p9) :args ((@list @t134 @t116 @t115)))
% 2.85/3.03  (step @p492 :rule instantiate :premises (@p38) :args ((@list @t136 tptp.b)))
% 2.85/3.03  (step @p493 :rule symm :premises (@p492))
% 2.85/3.03  (step @p494 :rule instantiate :premises (@p24) :args ((@list @t124 @t27 @t115)))
% 2.85/3.03  (step @p495 :rule instantiate :premises (@p7) :args ((@list @t117 @t116)))
% 2.85/3.03  (step @p496 :rule symm :premises (@p495))
% 2.85/3.03  (step @p497 :rule cong :premises (@p400 @p403) :args (@t137))
% 2.85/3.03  (step @p498 :rule trans :premises (@p497 @p496 @p399 @p494))
% 2.85/3.03  (step @p499 :rule instantiate :premises (@p7) :args ((@list @t134 @t116)))
% 2.85/3.03  (step @p500 :rule symm :premises (@p499))
% 2.85/3.03  (step @p501 :rule cong :premises (@p400 @p488) :args ((tptp.add @t116 @t134)))
% 2.85/3.03  (step @p502 :rule symm :premises (@p501))
% 2.85/3.03  (step @p503 :rule refl :args (@t138))
% 2.85/3.03  (step @p504 :rule cong :premises (@p408 @p503) :args ((tptp.multiply @t121 @t138)))
% 2.85/3.03  (step @p505 :rule instantiate :premises (@p10) :args ((@list @t120 @t119 @t138)))
% 2.85/3.03  (step @p506 :rule symm :premises (@p505))
% 2.85/3.03  (step @p507 :rule refl :args (@t139))
% 2.85/3.03  (step @p508 :rule cong :premises (@p411 @p507) :args (@t140))
% 2.85/3.03  (step @p509 :rule trans :premises (@p508 @p506 @p504 @p453 @p451))
% 2.85/3.03  (step @p510 :rule instantiate :premises (@p8) :args (@t141))
% 2.85/3.03  (step @p511 :rule symm :premises (@p510))
% 2.85/3.03  (step @p512 :rule cong :premises (@p511 @p509) :args ((tptp.add @t142 @t140)))
% 2.85/3.03  (step @p513 :rule trans :premises (@p512 @p502 @p500))
% 2.85/3.03  (step @p514 :rule symm :premises (@p512))
% 2.85/3.03  (step @p515 :rule cong :premises (@p400 @p469) :args (@t143))
% 2.85/3.03  (step @p516 :rule trans :premises (@p515 @p514))
% 2.85/3.03  (step @p517 :rule trans :premises (@p516 @p513))
% 2.85/3.03  (step @p518 :rule cong :premises (@p517 @p301) :args (@t144))
% 2.85/3.03  (step @p519 :rule eq-symm :args (@t144 @t145))
% 2.85/3.03  (step @p520 :rule refl :args (@t23))
% 2.85/3.03  (step @p521 :rule cong :premises (@p520 @p519) :args ((=> @t23 @t146)))
% 2.85/3.03  (assume-push @p1005 @t23)
% 2.85/3.03  (step @p523 :rule instantiate :premises (@p9) :args (@t147))
% 2.85/3.03  (step-pop @p1006 :rule scope :premises (@p523))
% 2.85/3.03  (step @p524 :rule process_scope :premises (@p1006) :args (@t146))
% 2.85/3.03  (step @p526 :rule eq_resolve :premises (@p524 @p521))
% 2.85/3.03  (step @p527 :rule implies_elim :premises (@p526))
% 2.85/3.03  (step @p528 :rule chain_m_resolution :premises (@p527 @p9) :args ((= @t145 @t144) @t52 @t148))
% 2.85/3.03  (step @p529 :rule symm :premises (@p471))
% 2.85/3.03  (step @p530 :rule trans :premises (@p440 @p529))
% 2.85/3.03  (step @p531 :rule cong :premises (@p400 @p530) :args (@t149))
% 2.85/3.03  (step @p532 :rule trans :premises (@p531 @p528 @p518))
% 2.85/3.03  (step @p533 :rule cong :premises (@p532 @p498) :args ((tptp.multiply @t149 @t137)))
% 2.85/3.03  (step @p534 :rule instantiate :premises (@p38) :args (@t150))
% 2.85/3.03  (step @p535 :rule trans :premises (@p534 @p533 @p493))
% 2.85/3.03  (step @p536 :rule cong :premises (@p535 @p406) :args (@t135))
% 2.85/3.03  (step @p537 :rule symm :premises (@p432))
% 2.85/3.03  (step @p538 :rule symm :premises (@p431))
% 2.85/3.03  (step @p539 :rule trans :premises (@p422 @p538 @p537 @p536 @p491 @p490))
% 2.85/3.03  (step @p540 :rule cong :premises (@p478 @p481) :args (@t129))
% 2.85/3.03  (step @p541 :rule trans :premises (@p484 @p540))
% 2.85/3.03  (step @p542 :rule trans :premises (@p418 @p541))
% 2.85/3.03  (step @p543 :rule cong :premises (@p542 @p539) :args ((tptp.multiply (tptp.multiply @t120 @t151) @t115)))
% 2.85/3.03  (step @p544 :rule symm :premises (@p543))
% 2.85/3.03  (step @p545 :rule instantiate :premises (@p38) :args ((@list @t153 @t27)))
% 2.85/3.03  (step @p546 :rule symm :premises (@p381))
% 2.85/3.03  (step @p547 :rule cong :premises (@p475 @p546) :args ((tptp.multiply @t124 (tptp.multiply @t106 @t105))))
% 2.85/3.03  (step @p548 :rule instantiate :premises (@p10) :args ((@list @t124 @t106 @t105)))
% 2.85/3.03  (step @p549 :rule instantiate :premises (@p8) :args ((@list (tptp.multiply @t124 @t106) @t105)))
% 2.85/3.03  (step @p550 :rule symm :premises (@p549))
% 2.85/3.03  (step @p551 :rule symm :premises (@p374))
% 2.85/3.03  (step @p552 :rule instantiate :premises (@p38) :args (@t154))
% 2.85/3.03  (step @p553 :rule symm :premises (@p552))
% 2.85/3.03  (step @p554 :rule instantiate :premises (@p8) :args ((@list @t156 @t155)))
% 2.85/3.03  (step @p555 :rule symm :premises (@p554))
% 2.85/3.03  (step @p556 :rule refl :args (@t156))
% 2.85/3.03  (step @p557 :rule instantiate :premises (@p7) :args (@t141))
% 2.85/3.03  (step @p558 :rule symm :premises (@p557))
% 2.85/3.03  (step @p559 :rule cong :premises (@p558 @p556) :args ((tptp.multiply @t155 @t156)))
% 2.85/3.03  (step @p560 :rule symm :premises (@p559))
% 2.85/3.03  (step @p561 :rule instantiate :premises (@p139) :args (@t157))
% 2.85/3.03  (step @p562 :rule symm :premises (@p561))
% 2.85/3.03  (step @p563 :rule instantiate :premises (@p29) :args ((@list tptp.b @t27 @t115)))
% 2.85/3.03  (step @p564 :rule instantiate :premises (@p8) :args ((@list @t120 @t119)))
% 2.85/3.03  (step @p565 :rule symm :premises (@p564))
% 2.85/3.03  (step @p566 :rule cong :premises (@p409 @p411) :args (@t158))
% 2.85/3.03  (step @p567 :rule trans :premises (@p566 @p565 @p408 @p563))
% 2.85/3.03  (step @p568 :rule instantiate :premises (@p8) :args ((@list @t28 @t119)))
% 2.85/3.03  (step @p569 :rule symm :premises (@p568))
% 2.85/3.03  (step @p570 :rule cong :premises (@p569 @p439) :args (@t159))
% 2.85/3.03  (step @p571 :rule eq-symm :args (@t159 @t160))
% 2.85/3.03  (step @p572 :rule cong :premises (@p86 @p571) :args ((=> @t24 @t161)))
% 2.85/3.03  (assume-push @p1007 @t24)
% 2.85/3.03  (step @p574 :rule instantiate :premises (@p10) :args ((@list @t119 @t28 @t92)))
% 2.85/3.03  (step-pop @p1008 :rule scope :premises (@p574))
% 2.85/3.03  (step @p575 :rule process_scope :premises (@p1008) :args (@t161))
% 2.85/3.03  (step @p577 :rule eq_resolve :premises (@p575 @p572))
% 2.85/3.03  (step @p578 :rule implies_elim :premises (@p577))
% 2.85/3.03  (step @p579 :rule chain_m_resolution :premises (@p578 @p10) :args ((= @t160 @t159) @t52 @t53))
% 2.85/3.03  (step @p580 :rule cong :premises (@p409 @p305) :args (@t162))
% 2.85/3.03  (step @p581 :rule cong :premises (@p409 @p439) :args ((tptp.multiply @t119 @t92)))
% 2.85/3.03  (step @p582 :rule trans :premises (@p581 @p580 @p579 @p570))
% 2.85/3.03  (step @p583 :rule symm :premises (@p581))
% 2.85/3.03  (step @p584 :rule trans :premises (@p583 @p582))
% 2.85/3.03  (step @p585 :rule cong :premises (@p584 @p567) :args ((tptp.add @t162 @t158)))
% 2.85/3.03  (step @p586 :rule symm :premises (@p585))
% 2.85/3.03  (step @p587 :rule instantiate :premises (@p139) :args ((@list @t163 tptp.b)))
% 2.85/3.03  (step @p588 :rule symm :premises (@p337))
% 2.85/3.03  (step @p589 :rule cong :premises (@p409 @p588) :args (@t164))
% 2.85/3.03  (step @p590 :rule trans :premises (@p589 @p569 @p587 @p586 @p562))
% 2.85/3.03  (step @p591 :rule symm :premises (@p590))
% 2.85/3.03  (step @p592 :rule cong :premises (@p591 @p556) :args ((tptp.multiply @t119 @t156)))
% 2.85/3.03  (step @p593 :rule symm :premises (@p592))
% 2.85/3.03  (step @p594 :rule instantiate :premises (@p24) :args ((@list @t167 tptp.b @t165)))
% 2.85/3.03  (step @p595 :rule symm :premises (@p594))
% 2.85/3.03  (step @p596 :rule cong :premises (@p149 @p305) :args (@t123))
% 2.85/3.03  (step @p597 :rule trans :premises (@p464 @p596))
% 2.85/3.03  (step @p598 :rule cong :premises (@p450 @p597) :args ((tptp.multiply tptp.b @t125)))
% 2.85/3.03  (step @p599 :rule symm :premises (@p597))
% 2.85/3.03  (step @p600 :rule symm :premises (@p596))
% 2.85/3.03  (step @p601 :rule trans :premises (@p600 @p472))
% 2.85/3.03  (step @p602 :rule cong :premises (@p601 @p313) :args (@t168))
% 2.85/3.03  (step @p603 :rule trans :premises (@p602 @p471 @p441 @p309 @p437 @p436))
% 2.85/3.03  (step @p604 :rule instantiate :premises (@p58) :args ((@list @t28 @t27 @t92)))
% 2.85/3.03  (step @p605 :rule symm :premises (@p604))
% 2.85/3.03  (step @p606 :rule cong :premises (@p605 @p603) :args (@t169))
% 2.85/3.03  (step @p607 :rule trans :premises (@p606 @p303 @p301 @p309 @p437 @p436))
% 2.85/3.03  (step @p608 :rule trans :premises (@p607 @p439))
% 2.85/3.03  (step @p609 :rule cong :premises (@p608 @p599) :args ((tptp.multiply @t169 @t165)))
% 2.85/3.03  (step @p610 :rule instantiate :premises (@p29) :args ((@list @t28 @t165 @t93)))
% 2.85/3.03  (step @p611 :rule symm :premises (@p442))
% 2.85/3.03  (step @p612 :rule symm :premises (@p477))
% 2.85/3.03  (step @p613 :rule symm :premises (@p545))
% 2.85/3.03  (step @p614 :rule trans :premises (@p511 @p420 @p543 @p613 @p434 @p612 @p611 @p596 @p610 @p609 @p598))
% 2.85/3.03  (step @p615 :rule eq-symm :args (@t170 @t172))
% 2.85/3.03  (step @p616 :rule cong :premises (@p86 @p615) :args ((=> @t24 @t173)))
% 2.85/3.03  (assume-push @p1009 @t24)
% 2.85/3.03  (step @p618 :rule instantiate :premises (@p10) :args ((@list @t115 @t166 tptp.b)))
% 2.85/3.03  (step-pop @p1010 :rule scope :premises (@p618))
% 2.85/3.03  (step @p619 :rule process_scope :premises (@p1010) :args (@t173))
% 2.85/3.03  (step @p621 :rule eq_resolve :premises (@p619 @p616))
% 2.85/3.03  (step @p622 :rule implies_elim :premises (@p621))
% 2.85/3.03  (step @p623 :rule chain_m_resolution :premises (@p622 @p10) :args ((= @t172 @t170) @t52 @t53))
% 2.85/3.03  (step @p624 :rule instantiate :premises (@p29) :args ((@list @t116 tptp.b @t27)))
% 2.85/3.03  (step @p625 :rule cong :premises (@p406 @p624) :args (@t174))
% 2.85/3.03  (step @p626 :rule trans :premises (@p625 @p623))
% 2.85/3.03  (step @p627 :rule cong :premises (@p626 @p614) :args ((tptp.add @t174 @t142)))
% 2.85/3.03  (step @p628 :rule instantiate :premises (@p139) :args (@t154))
% 2.85/3.03  (step @p629 :rule trans :premises (@p628 @p627))
% 2.85/3.03  (step @p630 :rule cong :premises (@p629 @p450) :args (@t156))
% 2.85/3.03  (step @p631 :rule trans :premises (@p630 @p595))
% 2.85/3.03  (step @p632 :rule cong :premises (@p590 @p631) :args ((tptp.multiply @t164 @t156)))
% 2.85/3.03  (step @p633 :rule symm :premises (@p632))
% 2.85/3.03  (step @p634 :rule instantiate :premises (@p8) :args (@t157))
% 2.85/3.03  (step @p635 :rule symm :premises (@p634))
% 2.85/3.03  (step @p636 :rule symm :premises (@p587))
% 2.85/3.03  (step @p637 :rule trans :premises (@p561 @p585 @p636))
% 2.85/3.03  (step @p638 :rule symm :premises (@p531))
% 2.85/3.03  (step @p639 :rule instantiate :premises (@p58) :args ((@list @t93 @t27 tptp.b)))
% 2.85/3.03  (step @p640 :rule symm :premises (@p639))
% 2.85/3.03  (step @p641 :rule cong :premises (@p300 @p445) :args (@t175))
% 2.85/3.03  (step @p642 :rule symm :premises (@p466))
% 2.85/3.03  (step @p643 :rule symm :premises (@p465))
% 2.85/3.03  (step @p644 :rule trans :premises (@p643 @p642 @p464))
% 2.85/3.03  (step @p645 :rule symm :premises (@p307))
% 2.85/3.03  (step @p646 :rule cong :premises (@p312 @p611) :args ((tptp.add (tptp.multiply @t93 tptp.b) @t133)))
% 2.85/3.03  (step @p647 :rule trans :premises (@p646 @p641 @p640 @p301 @p309 @p437 @p436 @p645))
% 2.85/3.03  (step @p648 :rule symm :premises (@p646))
% 2.85/3.03  (step @p649 :rule trans :premises (@p648 @p647 @p325))
% 2.85/3.03  (step @p650 :rule cong :premises (@p649 @p644) :args ((tptp.add @t175 @t127)))
% 2.85/3.03  (step @p651 :rule trans :premises (@p420 @p543 @p613 @p434 @p612 @p611 @p467 @p466 @p465))
% 2.85/3.03  (step @p652 :rule symm :premises (@p649))
% 2.85/3.03  (step @p653 :rule cong :premises (@p652 @p651) :args ((tptp.add tptp.b @t116)))
% 2.85/3.03  (step @p654 :rule instantiate :premises (@p7) :args (@t150))
% 2.85/3.03  (step @p655 :rule trans :premises (@p638 @p654 @p653 @p650 @p641 @p640 @p301 @p309 @p437 @p436))
% 2.85/3.03  (step @p656 :rule symm :premises (@p655))
% 2.85/3.03  (step @p657 :rule trans :premises (@p438 @p656 @p638 @p532))
% 2.85/3.03  (step @p658 :rule cong :premises (@p657 @p637) :args ((tptp.multiply tptp.b @t119)))
% 2.85/3.03  (step @p659 :rule symm :premises (@p658))
% 2.85/3.03  (step @p660 :rule trans :premises (@p434 @p612 @p611 @p455))
% 2.85/3.03  (step @p661 :rule cong :premises (@p409 @p660) :args (@t176))
% 2.85/3.03  (step @p662 :rule cong :premises (@p475 @p412) :args (@t152))
% 2.85/3.03  (step @p663 :rule trans :premises (@p662 @p611))
% 2.85/3.03  (step @p664 :rule trans :premises (@p663 @p478))
% 2.85/3.03  (step @p665 :rule cong :premises (@p664 @p661) :args ((tptp.add @t152 @t176)))
% 2.85/3.03  (step @p666 :rule instantiate :premises (@p58) :args ((@list @t152 @t119 @t119)))
% 2.85/3.03  (step @p667 :rule symm :premises (@p662))
% 2.85/3.03  (step @p668 :rule trans :premises (@p442 @p667 @p666 @p665))
% 2.85/3.03  (step @p669 :rule symm :premises (@p624))
% 2.85/3.03  (step @p670 :rule cong :premises (@p149 @p669) :args (@t177))
% 2.85/3.03  (step @p671 :rule trans :premises (@p670 @p668))
% 2.85/3.03  (step @p672 :rule cong :premises (@p671 @p409) :args (@t178))
% 2.85/3.03  (step @p673 :rule symm :premises (@p672))
% 2.85/3.03  (step @p674 :rule instantiate :premises (@p24) :args ((@list @t152 @t119 @t138)))
% 2.85/3.03  (step @p675 :rule trans :premises (@p587 @p586 @p562 @p674 @p673))
% 2.85/3.03  (step @p676 :rule instantiate :premises (@p111) :args ((@list @t149 @t97 @t117)))
% 2.85/3.03  (step @p677 :rule symm :premises (@p676))
% 2.85/3.03  (step @p678 :rule instantiate :premises (@p7) :args ((@list @t117 @t149)))
% 2.85/3.03  (step @p679 :rule instantiate :premises (@p9) :args ((@list @t117 @t116 tptp.b)))
% 2.85/3.03  (step @p680 :rule cong :premises (@p398 @p450) :args (@t90))
% 2.85/3.03  (step @p681 :rule trans :premises (@p296 @p680 @p679 @p678))
% 2.85/3.03  (step @p682 :rule cong :premises (@p328 @p681) :args (@t96))
% 2.85/3.03  (step @p683 :rule symm :premises (@p329))
% 2.85/3.03  (step @p684 :rule trans :premises (@p297 @p683 @p682))
% 2.85/3.03  (step @p685 :rule refl :args (@t149))
% 2.85/3.03  (step @p686 :rule cong :premises (@p685 @p684) :args (@t166))
% 2.85/3.03  (step @p687 :rule instantiate :premises (@p58) :args ((@list @t166 @t27 tptp.b)))
% 2.85/3.03  (step @p688 :rule symm :premises (@p687))
% 2.85/3.03  (step @p689 :rule trans :premises (@p688 @p686 @p677))
% 2.85/3.03  (step @p690 :rule symm :premises (@p689))
% 2.85/3.03  (step @p691 :rule symm :premises (@p532))
% 2.85/3.03  (step @p692 :rule trans :premises (@p691 @p690))
% 2.85/3.03  (step @p693 :rule cong :premises (@p692 @p675) :args ((tptp.multiply @t179 @t163)))
% 2.85/3.03  (step @p694 :rule symm :premises (@p693))
% 2.85/3.03  (step @p695 :rule trans :premises (@p662 @p611 @p455))
% 2.85/3.03  (step @p696 :rule cong :premises (@p409 @p695) :args ((tptp.multiply @t119 @t152)))
% 2.85/3.03  (step @p697 :rule instantiate :premises (@p8) :args ((@list @t152 @t119)))
% 2.85/3.03  (step @p698 :rule trans :premises (@p442 @p477 @p435 @p697 @p696))
% 2.85/3.03  (step @p699 :rule trans :premises (@p496 @p399))
% 2.85/3.03  (step @p700 :rule cong :premises (@p406 @p699) :args (@t181))
% 2.85/3.03  (step @p701 :rule trans :premises (@p700 @p558))
% 2.85/3.03  (step @p702 :rule cong :premises (@p400 @p701) :args ((tptp.multiply @t116 @t181)))
% 2.85/3.03  (step @p703 :rule instantiate :premises (@p111) :args ((@list @t116 @t115 @t117)))
% 2.85/3.03  (step @p704 :rule trans :premises (@p703 @p702))
% 2.85/3.03  (step @p705 :rule cong :premises (@p704 @p698) :args ((tptp.add @t116 @t123)))
% 2.85/3.03  (step @p706 :rule trans :premises (@p534 @p533 @p493 @p499 @p501 @p705))
% 2.85/3.03  (step @p707 :rule trans :premises (@p565 @p408))
% 2.85/3.03  (step @p708 :rule cong :premises (@p406 @p707) :args (@t182))
% 2.85/3.03  (step @p709 :rule symm :premises (@p410))
% 2.85/3.03  (step @p710 :rule trans :premises (@p709 @p382 @p407 @p564))
% 2.85/3.03  (step @p711 :rule cong :premises (@p406 @p710) :args (@t183))
% 2.85/3.03  (step @p712 :rule instantiate :premises (@p58) :args ((@list @t183 @t186 @t151)))
% 2.85/3.03  (step @p713 :rule symm :premises (@p712))
% 2.85/3.03  (step @p714 :rule instantiate :premises (@p10) :args ((@list @t115 @t120 @t151)))
% 2.85/3.03  (step @p715 :rule symm :premises (@p714))
% 2.85/3.03  (step @p716 :rule trans :premises (@p565 @p414 @p416))
% 2.85/3.03  (step @p717 :rule cong :premises (@p406 @p716) :args (@t182))
% 2.85/3.03  (step @p718 :rule symm :premises (@p708))
% 2.85/3.03  (step @p719 :rule trans :premises (@p510 @p718 @p717 @p715))
% 2.85/3.03  (step @p720 :rule refl :args (@t186))
% 2.85/3.03  (step @p721 :rule cong :premises (@p720 @p719) :args ((tptp.multiply @t186 @t116)))
% 2.85/3.03  (step @p722 :rule instantiate :premises (@p29) :args ((@list @t184 @t116 @t117)))
% 2.85/3.03  (step @p723 :rule trans :premises (@p722 @p721))
% 2.85/3.03  (step @p724 :rule symm :premises (@p711))
% 2.85/3.03  (step @p725 :rule trans :premises (@p510 @p718 @p724))
% 2.85/3.03  (step @p726 :rule cong :premises (@p725 @p723) :args (@t187))
% 2.85/3.03  (step @p727 :rule trans :premises (@p726 @p713 @p711 @p708 @p511))
% 2.85/3.03  (step @p728 :rule trans :premises (@p727 @p706))
% 2.85/3.03  (step @p729 :rule cong :premises (@p728 @p409) :args (@t188))
% 2.85/3.03  (step @p730 :rule symm :premises (@p729))
% 2.85/3.03  (step @p731 :rule instantiate :premises (@p24) :args ((@list @t116 @t119 @t138)))
% 2.85/3.03  (step @p732 :rule symm :premises (@p674))
% 2.85/3.03  (step @p733 :rule trans :premises (@p672 @p732 @p731 @p730))
% 2.85/3.03  (step @p523 :rule instantiate :premises (@p9) :args (@t147))
% 2.85/3.03  (step @p734 :rule symm :premises (@p518))
% 2.85/3.03  (step @p735 :rule instantiate :premises (@p24) :args ((@list @t131 @t179 (tptp.add @t136 @t27))))
% 2.85/3.03  (step @p736 :rule symm :premises (@p735))
% 2.85/3.03  (step @p737 :rule cong :premises (@p400 @p327) :args (@t189))
% 2.85/3.03  (step @p738 :rule trans :premises (@p737 @p531 @p528 @p518))
% 2.85/3.03  (step @p739 :rule trans :premises (@p534 @p533))
% 2.85/3.03  (step @p740 :rule trans :premises (@p528 @p518))
% 2.85/3.03  (step @p741 :rule refl :args (@t131))
% 2.85/3.03  (step @p742 :rule cong :premises (@p741 @p740) :args ((tptp.multiply @t131 @t145)))
% 2.85/3.03  (step @p743 :rule instantiate :premises (@p111) :args ((@list @t131 @t116 @t93)))
% 2.85/3.03  (step @p744 :rule trans :premises (@p472 @p743 @p742))
% 2.85/3.03  (step @p745 :rule trans :premises (@p488 @p744))
% 2.85/3.03  (step @p746 :rule cong :premises (@p745 @p739) :args (@t136))
% 2.85/3.03  (step @p747 :rule trans :premises (@p534 @p533 @p493 @p746))
% 2.85/3.03  (step @p748 :rule symm :premises (@p427))
% 2.85/3.03  (step @p749 :rule refl :args (@t122))
% 2.85/3.03  (step @p750 :rule cong :premises (@p411 @p749) :args (@t190))
% 2.85/3.03  (step @p751 :rule trans :premises (@p750 @p748 @p428))
% 2.85/3.03  (step @p752 :rule cong :premises (@p511 @p751) :args ((tptp.add @t142 @t190)))
% 2.85/3.03  (step @p753 :rule trans :premises (@p752 @p726 @p713 @p711 @p708 @p511))
% 2.85/3.03  (step @p754 :rule symm :premises (@p752))
% 2.85/3.03  (step @p755 :rule trans :premises (@p754 @p753 @p747))
% 2.85/3.03  (step @p756 :rule cong :premises (@p755 @p738) :args ((tptp.add @t187 @t189)))
% 2.85/3.03  (step @p757 :rule symm :premises (@p737))
% 2.85/3.03  (step @p758 :rule refl :args (@t187))
% 2.85/3.03  (step @p759 :rule cong :premises (@p758 @p757) :args ((tptp.add @t187 @t149)))
% 2.85/3.03  (step @p760 :rule instantiate :premises (@p7) :args ((@list @t187 @t149)))
% 2.85/3.03  (step @p761 :rule symm :premises (@p760))
% 2.85/3.03  (step @p762 :rule trans :premises (@p761 @p759 @p756 @p736 @p734 @p523 @p638))
% 2.85/3.03  (step @p763 :rule symm :premises (@p762))
% 2.85/3.03  (step @p764 :rule trans :premises (@p689 @p763))
% 2.85/3.03  (step @p765 :rule cong :premises (@p764 @p733) :args ((tptp.multiply (tptp.add @t166 @t177) @t178)))
% 2.85/3.03  (step @p766 :rule symm :premises (@p765))
% 2.85/3.03  (step @p767 :rule cong :premises (@p450 @p399) :args ((tptp.add tptp.b @t118)))
% 2.85/3.03  (step @p768 :rule instantiate :premises (@p9) :args ((@list tptp.b @t117 @t116)))
% 2.85/3.03  (step @p769 :rule cong :premises (@p450 @p403) :args (@t28))
% 2.85/3.03  (step @p770 :rule symm :premises (@p402))
% 2.85/3.03  (step @p771 :rule trans :premises (@p770 @p391 @p292 @p350))
% 2.85/3.03  (step @p772 :rule cong :premises (@p349 @p771) :args (@t191))
% 2.85/3.03  (step @p773 :rule trans :premises (@p772 @p367 @p365 @p364))
% 2.85/3.03  (step @p774 :rule trans :premises (@p773 @p769))
% 2.85/3.03  (step @p775 :rule cong :premises (@p774 @p400) :args ((tptp.add @t191 @t116)))
% 2.85/3.03  (step @p776 :rule symm :premises (@p773))
% 2.85/3.03  (step @p777 :rule trans :premises (@p768 @p767))
% 2.85/3.03  (step @p778 :rule trans :premises (@p777 @p776))
% 2.85/3.03  (step @p779 :rule cong :premises (@p778 @p400) :args ((tptp.add @t185 @t116)))
% 2.85/3.03  (step @p780 :rule instantiate :premises (@p9) :args ((@list @t184 @t116 @t116)))
% 2.85/3.03  (step @p781 :rule symm :premises (@p780))
% 2.85/3.03  (step @p782 :rule instantiate :premises (@p139) :args ((@list @t192 @t27)))
% 2.85/3.03  (step @p783 :rule symm :premises (@p782))
% 2.85/3.03  (step @p784 :rule instantiate :premises (@p24) :args ((@list @t27 @t115 @t27)))
% 2.85/3.03  (step @p785 :rule symm :premises (@p784))
% 2.85/3.03  (step @p786 :rule cong :premises (@p400 @p510) :args (@t187))
% 2.85/3.03  (step @p787 :rule cong :premises (@p786 @p406) :args (@t193))
% 2.85/3.03  (step @p788 :rule trans :premises (@p787 @p785))
% 2.85/3.03  (step @p789 :rule refl :args (@t192))
% 2.85/3.03  (step @p790 :rule cong :premises (@p789 @p788) :args ((tptp.multiply @t192 @t193)))
% 2.85/3.03  (step @p791 :rule symm :premises (@p787))
% 2.85/3.03  (step @p792 :rule instantiate :premises (@p111) :args ((@list @t115 @t117 @t116)))
% 2.85/3.03  (step @p793 :rule symm :premises (@p792))
% 2.85/3.03  (step @p794 :rule refl :args (@t117))
% 2.85/3.03  (step @p795 :rule cong :premises (@p794 @p432) :args ((tptp.add @t117 @t135)))
% 2.85/3.03  (step @p796 :rule instantiate :premises (@p9) :args ((@list @t117 @t116 @t115)))
% 2.85/3.03  (step @p797 :rule cong :premises (@p398 @p406) :args (@t119))
% 2.85/3.03  (step @p798 :rule trans :premises (@p797 @p796 @p795))
% 2.85/3.03  (step @p799 :rule cong :premises (@p406 @p798) :args ((tptp.multiply @t115 @t119)))
% 2.85/3.03  (step @p800 :rule trans :premises (@p424 @p799 @p793 @p784 @p791))
% 2.85/3.03  (step @p801 :rule symm :premises (@p779))
% 2.85/3.03  (step @p802 :rule symm :premises (@p775))
% 2.85/3.03  (step @p803 :rule symm :premises (@p768))
% 2.85/3.03  (step @p804 :rule symm :premises (@p767))
% 2.85/3.03  (step @p805 :rule trans :premises (@p804 @p803 @p802 @p801 @p780))
% 2.85/3.03  (step @p806 :rule cong :premises (@p805 @p800) :args ((tptp.multiply @t28 @t122)))
% 2.85/3.03  (step @p807 :rule instantiate :premises (@p10) :args ((@list @t28 @t119 @t115)))
% 2.85/3.03  (step @p808 :rule cong :premises (@p637 @p406) :args (@t122))
% 2.85/3.03  (step @p809 :rule symm :premises (@p424))
% 2.85/3.03  (step @p810 :rule symm :premises (@p799))
% 2.85/3.03  (step @p811 :rule trans :premises (@p787 @p785 @p792 @p810 @p809 @p808 @p807 @p806 @p790))
% 2.85/3.03  (step @p812 :rule trans :premises (@p352 @p805))
% 2.85/3.03  (step @p813 :rule cong :premises (@p812 @p149) :args (@t104))
% 2.85/3.03  (step @p814 :rule trans :premises (@p292 @p350 @p355 @p813))
% 2.85/3.03  (step @p815 :rule trans :premises (@p481 @p814))
% 2.85/3.03  (step @p816 :rule cong :premises (@p815 @p811) :args ((tptp.add @t117 @t193)))
% 2.85/3.03  (step @p817 :rule symm :premises (@p788))
% 2.85/3.03  (step @p818 :rule instantiate :premises (@p9) :args ((@list @t117 @t116 @t116)))
% 2.85/3.03  (step @p819 :rule symm :premises (@p818))
% 2.85/3.03  (step @p820 :rule trans :premises (@p819 @p405 @p399))
% 2.85/3.03  (step @p821 :rule trans :premises (@p820 @p403))
% 2.85/3.03  (step @p822 :rule cong :premises (@p821 @p817) :args ((tptp.add (tptp.add @t117 @t187) @t115)))
% 2.85/3.03  (step @p823 :rule symm :premises (@p820))
% 2.85/3.03  (step @p824 :rule cong :premises (@p823 @p406) :args (@t119))
% 2.85/3.03  (step @p825 :rule symm :premises (@p731))
% 2.85/3.03  (step @p826 :rule trans :premises (@p729 @p825 @p824 @p822 @p816 @p783 @p781 @p779 @p775 @p768 @p767))
% 2.85/3.03  (step @p827 :rule trans :premises (@p762 @p531 @p655 @p439 @p300))
% 2.85/3.03  (step @p828 :rule cong :premises (@p827 @p826) :args ((tptp.multiply (tptp.add @t149 @t187) @t188)))
% 2.85/3.03  (step @p829 :rule symm :premises (@p828))
% 2.85/3.03  (step @p830 :rule trans :premises (@p301 @p438))
% 2.85/3.03  (step @p831 :rule cong :premises (@p830 @p299) :args (@t194))
% 2.85/3.03  (step @p832 :rule symm :premises (@p831))
% 2.85/3.03  (step @p833 :rule trans :premises (@p473 @p471 @p441 @p300 @p832 @p829 @p766 @p694 @p659 @p635 @p633 @p593 @p560 @p555 @p553))
% 2.85/3.03  (step @p834 :rule symm :premises (@p833))
% 2.85/3.03  (step @p835 :rule trans :premises (@p552 @p554 @p559 @p592 @p632 @p634 @p658 @p693 @p765 @p828 @p831 @p301 @p309 @p437 @p436 @p645))
% 2.85/3.03  (step @p836 :rule symm :premises (@p835))
% 2.85/3.03  (step @p837 :rule trans :premises (@p301 @p438 @p645 @p836 @p834))
% 2.85/3.03  (step @p838 :rule cong :premises (@p837 @p551) :args (@t194))
% 2.85/3.03  (step @p839 :rule trans :premises (@p300 @p832 @p838))
% 2.85/3.03  (step @p840 :rule refl :args (@t105))
% 2.85/3.03  (step @p841 :rule cong :premises (@p840 @p839) :args ((tptp.multiply @t105 tptp.b)))
% 2.85/3.03  (step @p842 :rule trans :premises (@p552 @p554 @p559 @p592 @p632 @p634 @p658 @p693 @p765 @p828 @p831 @p301))
% 2.85/3.03  (step @p843 :rule cong :premises (@p840 @p842) :args (@t195))
% 2.85/3.03  (step @p844 :rule trans :premises (@p843 @p841 @p550 @p548 @p547 @p477 @p435 @p545 @p544 @p421))
% 2.85/3.03  (step @p845 :rule cong :premises (@p840 @p454) :args (@t196))
% 2.85/3.03  (step @p846 :rule trans :premises (@p845 @p396 @p395 @p393 @p379 @p392 @p391))
% 2.85/3.03  (step @p847 :rule trans :premises (@p846 @p398))
% 2.85/3.03  (step @p848 :rule cong :premises (@p847 @p844) :args ((tptp.add @t196 @t195)))
% 2.85/3.03  (step @p849 :rule instantiate :premises (@p139) :args ((@list @t105 @t27)))
% 2.85/3.03  (step @p850 :rule symm :premises (@p362))
% 2.85/3.03  (step @p851 :rule trans :premises (@p850 @p849 @p848 @p405 @p399 @p363 @p397))
% 2.85/3.03  (step @p852 :rule cong :premises (@p850 @p851) :args ((tptp.multiply @t113 @t113)))
% 2.85/3.03  (step @p853 :rule instantiate :premises (@p7) :args (@t197))
% 2.85/3.03  (step @p854 :rule symm :premises (@p853))
% 2.85/3.03  (step @p855 :rule trans :premises (@p854 @p362))
% 2.85/3.03  (step @p856 :rule cong :premises (@p362 @p855) :args (@t198))
% 2.85/3.03  (step @p857 :rule trans :premises (@p856 @p852 @p396 @p395 @p393 @p379 @p392 @p391))
% 2.85/3.03  (step @p858 :rule trans :premises (@p857 @p388))
% 2.85/3.03  (step @p859 :rule cong :premises (@p858 @p348) :args ((tptp.multiply @t198 @t88)))
% 2.85/3.03  (step @p860 :rule instantiate :premises (@p29) :args ((@list @t27 @t88 @t27)))
% 2.85/3.03  (step @p861 :rule trans :premises (@p860 @p859 @p390))
% 2.85/3.03  (step @p862 :rule cong :premises (@p291 @p861) :args (@t199))
% 2.85/3.03  (step @p863 :rule refl :args (@t200))
% 2.85/3.03  (step @p864 :rule cong :premises (@p863 @p862) :args ((tptp.add @t200 @t199)))
% 2.85/3.03  (step @p865 :rule symm :premises (@p862))
% 2.85/3.03  (step @p866 :rule instantiate :premises (@p38) :args ((@list @t89 tptp.b)))
% 2.85/3.03  (step @p867 :rule symm :premises (@p866))
% 2.85/3.03  (step @p868 :rule cong :premises (@p291 @p339) :args ((tptp.add @t89 @t99)))
% 2.85/3.03  (step @p869 :rule instantiate :premises (@p7) :args ((@list @t99 @t89)))
% 2.85/3.03  (step @p870 :rule instantiate :premises (@p24) :args ((@list @t124 @t27 @t88)))
% 2.85/3.03  (step @p871 :rule symm :premises (@p870))
% 2.85/3.03  (step @p872 :rule trans :premises (@p871 @p289 @p869 @p868))
% 2.85/3.03  (step @p873 :rule symm :premises (@p530))
% 2.85/3.03  (step @p874 :rule cong :premises (@p291 @p873) :args ((tptp.add @t89 @t132)))
% 2.85/3.03  (step @p875 :rule instantiate :premises (@p9) :args ((@list @t89 @t131 @t93)))
% 2.85/3.03  (step @p876 :rule cong :premises (@p291 @p472) :args ((tptp.add @t89 @t123)))
% 2.85/3.03  (step @p877 :rule trans :premises (@p453 @p451))
% 2.85/3.03  (step @p878 :rule instantiate :premises (@p8) :args (@t197))
% 2.85/3.03  (step @p879 :rule symm :premises (@p878))
% 2.85/3.03  (step @p880 :rule cong :premises (@p879 @p877) :args ((tptp.add (tptp.multiply @t88 @t27) (tptp.multiply @t27 @t138))))
% 2.85/3.03  (step @p881 :rule trans :premises (@p880 @p876))
% 2.85/3.03  (step @p882 :rule symm :premises (@p880))
% 2.85/3.03  (step @p883 :rule cong :premises (@p291 @p488) :args ((tptp.add @t89 @t134)))
% 2.85/3.03  (step @p884 :rule instantiate :premises (@p7) :args ((@list @t134 @t89)))
% 2.85/3.03  (step @p885 :rule trans :premises (@p884 @p883 @p882))
% 2.85/3.03  (step @p886 :rule trans :premises (@p885 @p881))
% 2.85/3.03  (step @p887 :rule cong :premises (@p886 @p300) :args (@t202))
% 2.85/3.03  (step @p888 :rule trans :premises (@p887 @p875 @p874))
% 2.85/3.03  (step @p889 :rule cong :premises (@p888 @p872) :args ((tptp.multiply @t202 (tptp.add @t201 @t27))))
% 2.85/3.03  (step @p890 :rule instantiate :premises (@p38) :args ((@list @t201 tptp.b)))
% 2.85/3.03  (step @p891 :rule symm :premises (@p884))
% 2.85/3.03  (step @p892 :rule symm :premises (@p883))
% 2.85/3.03  (step @p893 :rule cong :premises (@p291 @p644) :args (@t203))
% 2.85/3.03  (step @p894 :rule trans :premises (@p893 @p892 @p891 @p890 @p889 @p867))
% 2.85/3.03  (step @p895 :rule instantiate :premises (@p29) :args ((@list @t99 @t89 tptp.b)))
% 2.85/3.03  (step @p896 :rule symm :premises (@p895))
% 2.85/3.03  (step @p897 :rule cong :premises (@p291 @p842) :args (@t204))
% 2.85/3.03  (step @p898 :rule symm :premises (@p869))
% 2.85/3.03  (step @p899 :rule symm :premises (@p868))
% 2.85/3.03  (step @p900 :rule trans :premises (@p899 @p898 @p290))
% 2.85/3.03  (step @p901 :rule trans :premises (@p900 @p289))
% 2.85/3.03  (step @p902 :rule cong :premises (@p901 @p897) :args ((tptp.multiply (tptp.add @t89 @t27) @t204)))
% 2.85/3.03  (step @p903 :rule instantiate :premises (@p38) :args ((@list @t89 @t27)))
% 2.85/3.03  (step @p904 :rule trans :premises (@p903 @p902))
% 2.85/3.03  (step @p905 :rule trans :premises (@p894 @p904))
% 2.85/3.03  (step @p906 :rule cong :premises (@p905 @p291) :args (@t205))
% 2.85/3.03  (step @p907 :rule trans :premises (@p906 @p896))
% 2.85/3.03  (step @p908 :rule symm :premises (@p487))
% 2.85/3.03  (step @p909 :rule trans :premises (@p420 @p543 @p613 @p434 @p612 @p611 @p479 @p908))
% 2.85/3.03  (step @p910 :rule instantiate :premises (@p111) :args ((@list @t123 @t89 @t123)))
% 2.85/3.03  (step @p911 :rule symm :premises (@p910))
% 2.85/3.03  (step @p912 :rule trans :premises (@p911 @p442 @p477 @p435 @p545 @p544 @p421))
% 2.85/3.03  (step @p913 :rule trans :premises (@p912 @p909))
% 2.85/3.03  (step @p914 :rule cong :premises (@p913 @p907) :args (@t206))
% 2.85/3.03  (step @p915 :rule trans :premises (@p914 @p890 @p889 @p867))
% 2.85/3.03  (step @p916 :rule cong :premises (@p915 @p894) :args ((tptp.add @t206 @t203)))
% 2.85/3.03  (step @p917 :rule instantiate :premises (@p24) :args ((@list @t123 @t203 @t89)))
% 2.85/3.03  (step @p918 :rule symm :premises (@p893))
% 2.85/3.03  (step @p919 :rule symm :premises (@p890))
% 2.85/3.03  (step @p920 :rule symm :premises (@p889))
% 2.85/3.03  (step @p921 :rule trans :premises (@p866 @p920 @p919 @p884 @p883 @p918 @p917 @p916 @p865))
% 2.85/3.03  (step @p922 :rule cong :premises (@p863 @p921) :args ((tptp.add @t200 @t89)))
% 2.85/3.03  (step @p923 :rule trans :premises (@p922 @p864 @p347 @p346 @p288 @p287 @p211))
% 2.85/3.03  (step @p924 :rule symm :premises (@p922))
% 2.85/3.03  (step @p925 :rule symm :premises (@p864))
% 2.85/3.03  (step @p926 :rule eq-symm :args (@t207 @t101))
% 2.85/3.03  (step @p927 :rule cong :premises (@p520 @p926) :args ((=> @t23 @t208)))
% 2.85/3.03  (assume-push @p1011 @t23)
% 2.85/3.03  (step-pop @p1012 :rule scope :premises (@p347))
% 2.85/3.03  (step @p929 :rule process_scope :premises (@p1012) :args (@t208))
% 2.85/3.03  (step @p931 :rule eq_resolve :premises (@p929 @p927))
% 2.85/3.03  (step @p932 :rule implies_elim :premises (@p931))
% 2.85/3.03  (step @p933 :rule chain_m_resolution :premises (@p932 @p9) :args ((= @t101 @t207) @t52 @t148))
% 2.85/3.03  (step @p934 :rule symm :premises (@p346))
% 2.85/3.03  (step @p935 :rule trans :premises (@p934 @p933 @p925 @p924))
% 2.85/3.03  (step @p936 :rule symm :premises (@p284))
% 2.85/3.03  (step @p937 :rule trans :premises (@p936 @p935 @p923))
% 2.85/3.03  (step @p938 :rule cong :premises (@p937 @p209) :args ((tptp.add (tptp.add @t27 @t84) @t62)))
% 2.85/3.03  (step @p939 :rule trans :premises (@p938 @p134 @p207 @p206 @p205 @p204 @p203 @p202 @p201 @p136 @p133 @p122))
% 2.85/3.03  (step @p940 :rule symm :premises (@p938))
% 2.85/3.03  (step @p941 :rule instantiate :premises (@p139) :args (@t209))
% 2.85/3.03  (step @p942 :rule symm :premises (@p941))
% 2.85/3.03  (step @p943 :rule cong :premises (@p942 @p149) :args ((tptp.add (tptp.add @t210 @t58) @t27)))
% 2.85/3.03  (step @p944 :rule instantiate :premises (@p9) :args ((@list @t210 @t58 @t27)))
% 2.85/3.03  (step @p945 :rule symm :premises (@p944))
% 2.85/3.03  (step @p946 :rule symm :premises (@p357))
% 2.85/3.03  (step @p947 :rule refl :args (@t58))
% 2.85/3.03  (step @p948 :rule cong :premises (@p947 @p946) :args ((tptp.add @t58 @t108)))
% 2.85/3.03  (step @p949 :rule cong :premises (@p143 @p294) :args ((tptp.add @t211 @t102)))
% 2.85/3.03  (step @p950 :rule instantiate :premises (@p7) :args ((@list @t102 @t211)))
% 2.85/3.03  (step @p951 :rule instantiate :premises (@p29) :args ((@list tptp.b @t27 @t25)))
% 2.85/3.03  (step @p952 :rule symm :premises (@p951))
% 2.85/3.03  (step @p953 :rule instantiate :premises (@p8) :args ((@list @t212 @t27)))
% 2.85/3.03  (step @p954 :rule symm :premises (@p953))
% 2.85/3.03  (step @p955 :rule trans :premises (@p954 @p952))
% 2.85/3.03  (step @p956 :rule cong :premises (@p161 @p955) :args (@t213))
% 2.85/3.03  (step @p957 :rule trans :premises (@p956 @p144))
% 2.85/3.03  (step @p958 :rule cong :premises (@p292 @p957) :args ((tptp.add @t27 @t213)))
% 2.85/3.03  (step @p959 :rule instantiate :premises (@p58) :args ((@list @t27 tptp.a @t212)))
% 2.85/3.03  (step @p960 :rule trans :premises (@p959 @p958 @p950 @p949 @p948))
% 2.85/3.03  (step @p961 :rule instantiate :premises (@p8) :args (@t209))
% 2.85/3.03  (step @p962 :rule symm :premises (@p961))
% 2.85/3.03  (step @p963 :rule cong :premises (@p962 @p960) :args (@t32))
% 2.85/3.03  (step @p964 :rule trans :premises (@p963 @p945 @p943 @p135 @p940))
% 2.85/3.03  (step @p965 :rule trans :premises (@p964 @p939 @p131))
% 2.85/3.03  (step @p966 :rule cong :premises (@p965 @p30) :args (@t33))
% 2.85/3.03  (step @p967 :rule trans :premises (@p966 @p130 @p127 @p126 @p26 @p21))
% 2.85/3.03  (step @p968 :rule instantiate :premises (@p139) :args ((@list tptp.b tptp.a)))
% 2.85/3.03  (step @p969 :rule symm :premises (@p968))
% 2.85/3.03  (step @p970 :rule cong :premises (@p969 @p149) :args ((tptp.add (tptp.add @t30 @t214) @t27)))
% 2.85/3.03  (step @p971 :rule instantiate :premises (@p9) :args ((@list @t30 @t214 @t27)))
% 2.85/3.03  (step @p972 :rule symm :premises (@p971))
% 2.85/3.03  (step @p973 :rule instantiate :premises (@p58) :args ((@list @t110 @t25 @t113)))
% 2.85/3.03  (step @p974 :rule symm :premises (@p973))
% 2.85/3.03  (step @p975 :rule cong :premises (@p167 @p388) :args (@t67))
% 2.85/3.03  (step @p976 :rule trans :premises (@p183 @p975))
% 2.85/3.03  (step @p977 :rule trans :premises (@p293 @p363))
% 2.85/3.03  (step @p978 :rule cong :premises (@p977 @p976) :args ((tptp.add @t102 @t57)))
% 2.85/3.03  (step @p979 :rule instantiate :premises (@p7) :args ((@list @t102 @t57)))
% 2.85/3.03  (step @p980 :rule symm :premises (@p979))
% 2.85/3.03  (step @p981 :rule cong :premises (@p184 @p295) :args ((tptp.add @t67 @t108)))
% 2.85/3.03  (step @p982 :rule refl :args (@t67))
% 2.85/3.03  (step @p983 :rule cong :premises (@p982 @p357) :args (@t215))
% 2.85/3.03  (step @p984 :rule trans :premises (@p983 @p981 @p980 @p978 @p974 @p382))
% 2.85/3.03  (step @p985 :rule instantiate :premises (@p8) :args (@t69))
% 2.85/3.03  (step @p986 :rule cong :premises (@p985 @p984) :args ((tptp.add @t70 @t215)))
% 2.85/3.03  (step @p987 :rule instantiate :premises (@p9) :args ((@list @t70 @t67 @t27)))
% 2.85/3.03  (step @p988 :rule cong :premises (@p189 @p149) :args ((tptp.add @t25 @t27)))
% 2.85/3.03  (step @p989 :rule trans :premises (@p212 @p988 @p987 @p986))
% 2.85/3.03  (step @p990 :rule refl :args (@t30))
% 2.85/3.03  (step @p991 :rule cong :premises (@p990 @p989) :args (@t31))
% 2.85/3.03  (step @p992 :rule trans :premises (@p991 @p972 @p970))
% 2.85/3.03  (step @p993 :rule cong :premises (@p992 @p967) :args (@t35))
% 2.85/3.03  (step @p994 :rule trans :premises (@p993 @p19))
% 2.85/3.03  (step @p995 :rule eq_resolve :premises (@p994 @p18))
% 2.85/3.03  (step @p996 :rule false_elim :premises (@p995))
% 2.85/3.03  (assume-push @p1013 @t23)
% 2.85/3.03  (step @p998 :rule instantiate :premises (@p9) :args ((@list @t30 @t27 @t25)))
% 2.85/3.03  (step-pop @p1014 :rule scope :premises (@p998))
% 2.85/3.03  (step @p999 :rule process_scope :premises (@p1014) :args (@t34))
% 2.85/3.03  (step @p1001 :rule implies_elim :premises (@p999))
% 2.85/3.03  (step @p1002 false :rule chain_m_resolution :premises (@p1001 @p996 @p9) :args (false (@list true false) (@list @t34 @t23)))
% 2.85/3.03  )
% 2.85/3.03  % SZS output end Proof
% 2.85/3.03  % cvc5 exiting
%------------------------------------------------------------------------------