0.06/0.11	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.12	% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.12/0.33	% Computer : n031.cluster.edu
0.12/0.33	% Model    : x86_64 x86_64
0.12/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory   : 8042.1875MB
0.12/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit : 1920
0.12/0.33	% WCLimit  : 240
0.12/0.33	% DateTime : Sat Sep  6 01:44:22 EDT 2025
0.12/0.33	% CPUTime  : 
0.19/0.49	%----Proving TH0
155.73/156.06	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
155.73/156.06	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 24s...
155.73/156.06	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 24s...
155.73/156.06	--- Run --ho-elim --full-saturate-quant at 14s...
155.73/156.06	--- Run --ho-elim --no-e-matching --full-saturate-quant at 9s...
155.73/156.06	--- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 9s...
155.73/156.06	--- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 7s...
155.73/156.06	% SZS status Theorem
155.73/156.06	% SZS output start Proof
155.73/156.06	(
155.73/156.06	(declare-type $$unsorted ())
155.73/156.06	(declare-const tptp.cQ_7 (-> $$unsorted $$unsorted $$unsorted Bool))
155.73/156.06	(declare-const tptp.cP_6 (-> $$unsorted $$unsorted Bool))
155.73/156.06	(declare-const tptp.cQ_5 (-> $$unsorted $$unsorted $$unsorted Bool))
155.73/156.06	(declare-const tptp.cQ_6 (-> $$unsorted $$unsorted $$unsorted Bool))
155.73/156.06	(declare-const tptp.cP_5 (-> $$unsorted $$unsorted Bool))
155.73/156.06	(declare-const tptp.c $$unsorted)
155.73/156.06	(declare-const tptp.b $$unsorted)
155.73/156.06	(declare-const tptp.a $$unsorted)
155.73/156.06	(declare-const tptp.cQ_1 (-> $$unsorted $$unsorted $$unsorted Bool))
155.73/156.06	(declare-const tptp.d $$unsorted)
155.73/156.06	(declare-const tptp.cP_1 (-> $$unsorted $$unsorted Bool))
155.73/156.06	(declare-const tptp.f (-> $$unsorted $$unsorted))
155.73/156.06	(declare-const tptp.cQ_3 (-> $$unsorted $$unsorted $$unsorted Bool))
155.73/156.06	(declare-const tptp.cQ_2 (-> $$unsorted $$unsorted $$unsorted Bool))
155.73/156.06	(declare-const tptp.cP_2 (-> $$unsorted $$unsorted Bool))
155.73/156.06	(declare-const tptp.cP_3 (-> $$unsorted $$unsorted Bool))
155.73/156.06	(declare-const tptp.cQ_4 (-> $$unsorted $$unsorted $$unsorted Bool))
155.73/156.06	(declare-const tptp.cP_4 (-> $$unsorted $$unsorted Bool))
155.73/156.06	(define @t1 () (_ (_ (_ tptp.cQ_1 tptp.a) tptp.b) tptp.c))
155.73/156.06	(define @t2 () (@var "Xx" $$unsorted))
155.73/156.06	(define @t3 () (_ (_ tptp.cP_1 tptp.d) @t2))
155.73/156.06	(define @t4 () (@list @t2))
155.73/156.06	(define @t5 () (forall @t4 @t3))
155.73/156.06	(define @t6 () (@var "Xy" $$unsorted))
155.73/156.06	(define @t7 () (_ (_ tptp.cP_1 @t2) @t6))
155.73/156.06	(define @t8 () (not @t7))
155.73/156.06	(define @t9 () (_ tptp.f @t2))
155.73/156.06	(define @t10 () (_ tptp.cP_1 @t9))
155.73/156.06	(define @t11 () (_ @t10 @t6))
155.73/156.06	(define @t12 () (or @t11 @t8))
155.73/156.06	(define @t13 () (@list @t2 @t6))
155.73/156.06	(define @t14 () (forall @t13 @t12))
155.73/156.06	(define @t15 () (@var "Xu" $$unsorted))
155.73/156.06	(define @t16 () (_ @t10 @t15))
155.73/156.06	(define @t17 () (not @t16))
155.73/156.06	(define @t18 () (@var "Xv" $$unsorted))
155.73/156.06	(define @t19 () (_ tptp.f @t6))
155.73/156.06	(define @t20 () (_ (_ tptp.cP_1 @t19) @t18))
155.73/156.06	(define @t21 () (not @t20))
155.73/156.06	(define @t22 () (@var "Xw" $$unsorted))
155.73/156.06	(define @t23 () (@var "Xz" $$unsorted))
155.73/156.06	(define @t24 () (_ tptp.f @t23))
155.73/156.06	(define @t25 () (_ (_ tptp.cP_1 @t24) @t22))
155.73/156.06	(define @t26 () (not @t25))
155.73/156.06	(define @t27 () (_ (_ (_ tptp.cQ_2 @t15) @t18) @t22))
155.73/156.06	(define @t28 () (_ (_ (_ tptp.cQ_1 @t2) @t6) @t23))
155.73/156.06	(define @t29 () (not @t28))
155.73/156.06	(define @t30 () (or @t29 @t27 @t26 @t21 @t17))
155.73/156.06	(define @t31 () (@list @t2 @t6 @t23 @t15 @t18 @t22))
155.73/156.06	(define @t32 () (forall @t31 @t30))
155.73/156.06	(define @t33 () (_ (_ tptp.cP_2 tptp.a) tptp.a))
155.73/156.06	(define @t34 () (_ (_ tptp.cP_2 tptp.c) tptp.c))
155.73/156.06	(define @t35 () (_ (_ tptp.cP_3 tptp.c) tptp.c))
155.73/156.06	(define @t36 () (_ (_ tptp.cP_3 tptp.d) @t2))
155.73/156.06	(define @t37 () (forall @t4 @t36))
155.73/156.06	(define @t38 () (_ (_ tptp.cP_3 @t2) @t6))
155.73/156.06	(define @t39 () (not @t38))
155.73/156.06	(define @t40 () (_ tptp.cP_3 @t9))
155.73/156.06	(define @t41 () (_ @t40 @t6))
155.73/156.06	(define @t42 () (or @t41 @t39))
155.73/156.06	(define @t43 () (forall @t13 @t42))
155.73/156.06	(define @t44 () (_ (_ (_ tptp.cQ_3 @t2) @t6) @t23))
155.73/156.06	(define @t45 () (not @t44))
155.73/156.06	(define @t46 () (_ (_ tptp.cP_3 @t19) @t18))
155.73/156.06	(define @t47 () (not @t46))
155.73/156.06	(define @t48 () (_ (_ tptp.cP_3 @t24) @t22))
155.73/156.06	(define @t49 () (not @t48))
155.73/156.06	(define @t50 () (_ (_ (_ tptp.cQ_4 @t15) @t18) @t22))
155.73/156.06	(define @t51 () (_ @t40 @t15))
155.73/156.06	(define @t52 () (not @t51))
155.73/156.06	(define @t53 () (or @t52 @t50 @t49 @t47 @t45))
155.73/156.06	(define @t54 () (forall @t31 @t53))
155.73/156.06	(define @t55 () (_ (_ tptp.cP_4 tptp.a) tptp.a))
155.73/156.06	(define @t56 () (_ (_ tptp.cP_4 @t2) @t6))
155.73/156.06	(define @t57 () (not @t56))
155.73/156.06	(define @t58 () (_ tptp.cP_4 @t9))
155.73/156.06	(define @t59 () (_ @t58 @t6))
155.73/156.06	(define @t60 () (or @t59 @t57))
155.73/156.06	(define @t61 () (forall @t13 @t60))
155.73/156.06	(define @t62 () (_ (_ tptp.cP_5 tptp.c) tptp.c))
155.73/156.06	(define @t63 () (_ (_ tptp.cP_5 tptp.d) @t2))
155.73/156.06	(define @t64 () (forall @t4 @t63))
155.73/156.06	(define @t65 () (_ (_ tptp.cP_5 @t2) @t6))
155.73/156.06	(define @t66 () (not @t65))
155.73/156.06	(define @t67 () (_ tptp.cP_5 @t9))
155.73/156.06	(define @t68 () (_ @t67 @t6))
155.73/156.06	(define @t69 () (or @t68 @t66))
155.73/156.06	(define @t70 () (forall @t13 @t69))
155.73/156.06	(define @t71 () (_ @t67 @t15))
155.73/156.06	(define @t72 () (not @t71))
155.73/156.06	(define @t73 () (_ (_ tptp.cP_5 @t19) @t18))
155.73/156.06	(define @t74 () (not @t73))
155.73/156.06	(define @t75 () (_ (_ tptp.cP_5 @t24) @t22))
155.73/156.06	(define @t76 () (not @t75))
155.73/156.06	(define @t77 () (_ (_ (_ tptp.cQ_6 @t15) @t18) @t22))
155.73/156.06	(define @t78 () (_ (_ (_ tptp.cQ_5 @t2) @t6) @t23))
155.73/156.06	(define @t79 () (not @t78))
155.73/156.06	(define @t80 () (or @t79 @t77 @t76 @t74 @t72))
155.73/156.06	(define @t81 () (forall @t31 @t80))
155.73/156.06	(define @t82 () (_ (_ tptp.cP_6 tptp.a) tptp.a))
155.73/156.06	(define @t83 () (_ (_ tptp.cP_6 tptp.b) tptp.b))
155.73/156.06	(define @t84 () (_ (_ tptp.cP_6 tptp.c) tptp.c))
155.73/156.06	(define @t85 () (_ (_ tptp.cP_6 tptp.d) @t2))
155.73/156.06	(define @t86 () (forall @t4 @t85))
155.73/156.06	(define @t87 () (_ (_ (_ tptp.cQ_7 @t2) @t6) @t23))
155.73/156.06	(define @t88 () (not @t87))
155.73/156.06	(define @t89 () (@list @t2 @t6 @t23))
155.73/156.06	(define @t90 () (forall @t89 @t88))
155.73/156.06	(define @t91 () (_ tptp.cP_6 @t9))
155.73/156.06	(define @t92 () (_ @t91 @t15))
155.73/156.06	(define @t93 () (not @t92))
155.73/156.06	(define @t94 () (_ (_ tptp.cP_6 @t24) @t22))
155.73/156.06	(define @t95 () (not @t94))
155.73/156.06	(define @t96 () (_ (_ (_ tptp.cQ_7 @t15) @t18) @t22))
155.73/156.06	(define @t97 () (_ (_ tptp.cP_6 @t19) @t18))
155.73/156.06	(define @t98 () (not @t97))
155.73/156.06	(define @t99 () (_ (_ (_ tptp.cQ_6 @t2) @t6) @t23))
155.73/156.06	(define @t100 () (not @t99))
155.73/156.06	(define @t101 () (or @t100 @t98 @t96 @t95 @t93))
155.73/156.06	(define @t102 () (forall @t31 @t101))
155.73/156.06	(define @t103 () (_ (_ tptp.cP_6 @t2) @t6))
155.73/156.06	(define @t104 () (not @t103))
155.73/156.06	(define @t105 () (_ @t91 @t6))
155.73/156.06	(define @t106 () (or @t105 @t104))
155.73/156.06	(define @t107 () (forall @t13 @t106))
155.73/156.06	(define @t108 () (_ (_ tptp.cP_5 tptp.b) tptp.b))
155.73/156.06	(define @t109 () (_ (_ tptp.cP_5 tptp.a) tptp.a))
155.73/156.06	(define @t110 () (_ (_ tptp.cP_4 @t19) @t18))
155.73/156.06	(define @t111 () (not @t110))
155.73/156.06	(define @t112 () (_ (_ tptp.cP_4 @t24) @t22))
155.73/156.06	(define @t113 () (not @t112))
155.73/156.06	(define @t114 () (_ (_ (_ tptp.cQ_5 @t15) @t18) @t22))
155.73/156.06	(define @t115 () (_ @t58 @t15))
155.73/156.06	(define @t116 () (not @t115))
155.73/156.06	(define @t117 () (_ (_ (_ tptp.cQ_4 @t2) @t6) @t23))
155.73/156.06	(define @t118 () (not @t117))
155.73/156.06	(define @t119 () (or @t118 @t116 @t114 @t113 @t111))
155.73/156.06	(define @t120 () (forall @t31 @t119))
155.73/156.06	(define @t121 () (_ (_ tptp.cP_4 tptp.d) @t2))
155.73/156.06	(define @t122 () (forall @t4 @t121))
155.73/156.06	(define @t123 () (_ (_ tptp.cP_4 tptp.c) tptp.c))
155.73/156.06	(define @t124 () (_ (_ tptp.cP_4 tptp.b) tptp.b))
155.73/156.06	(define @t125 () (_ (_ tptp.cP_3 tptp.b) tptp.b))
155.73/156.06	(define @t126 () (_ (_ tptp.cP_3 tptp.a) tptp.a))
155.73/156.06	(define @t127 () (_ (_ (_ tptp.cQ_2 @t2) @t6) @t23))
155.73/156.06	(define @t128 () (not @t127))
155.73/156.06	(define @t129 () (_ tptp.cP_2 @t9))
155.73/156.06	(define @t130 () (_ @t129 @t15))
155.73/156.06	(define @t131 () (not @t130))
155.73/156.06	(define @t132 () (_ (_ (_ tptp.cQ_3 @t15) @t18) @t22))
155.73/156.06	(define @t133 () (_ (_ tptp.cP_2 @t24) @t22))
155.73/156.06	(define @t134 () (not @t133))
155.73/156.06	(define @t135 () (_ (_ tptp.cP_2 @t19) @t18))
155.73/156.06	(define @t136 () (not @t135))
155.73/156.06	(define @t137 () (or @t136 @t134 @t132 @t131 @t128))
155.73/156.06	(define @t138 () (forall @t31 @t137))
155.73/156.06	(define @t139 () (_ @t129 @t6))
155.73/156.06	(define @t140 () (_ (_ tptp.cP_2 @t2) @t6))
155.73/156.06	(define @t141 () (not @t140))
155.73/156.06	(define @t142 () (or @t141 @t139))
155.73/156.06	(define @t143 () (forall @t13 @t142))
155.73/156.06	(define @t144 () (_ (_ tptp.cP_2 tptp.d) @t2))
155.73/156.06	(define @t145 () (forall @t4 @t144))
155.73/156.06	(define @t146 () (_ (_ tptp.cP_2 tptp.b) tptp.b))
155.73/156.06	(define @t147 () (_ (_ tptp.cP_1 tptp.c) tptp.c))
155.73/156.06	(define @t148 () (_ (_ tptp.cP_1 tptp.b) tptp.b))
155.73/156.06	(define @t149 () (_ (_ tptp.cP_1 tptp.a) tptp.a))
155.73/156.06	(define @t150 () (and @t149 @t148 @t147 @t146 @t145 @t143 @t138 @t126 @t125 @t124 @t123 @t122 @t120 @t109 @t108 @t107 @t102 @t90 @t86 @t84 @t83 @t82 @t81 @t70 @t64 @t62 @t61 @t55 @t54 @t43 @t37 @t35 @t34 @t33 @t32 @t14 @t5 @t1))
155.73/156.06	(define @t151 () (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool))))
155.73/156.06	(define @t152 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))))
155.73/156.06	(define @t153 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool)))))
155.73/156.06	(define @t154 () (@const 3 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool)))
155.73/156.06	(define @t155 () (_ @t154 (_ @t153 (_ @t152 @t151 tptp.a) tptp.b) tptp.c))
155.73/156.06	(define @t156 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
155.73/156.06	(define @t157 () (@const 5 (@ho-elim-sort (-> $$unsorted $$unsorted))))
155.73/156.06	(define @t158 () (@const 6 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted)))
155.73/156.06	(define @t159 () (_ @t158 @t157 @t2))
155.73/156.06	(define @t160 () (_ @t153 @t156 @t159))
155.73/156.06	(define @t161 () (_ @t158 @t157 @t6))
155.73/156.06	(define @t162 () (_ @t158 @t157 @t23))
155.73/156.06	(define @t163 () (@const 7 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool))))
155.73/156.06	(define @t164 () (forall @t31 (or (not (_ @t154 (_ @t153 (_ @t152 @t151 @t2) @t6) @t23)) (_ @t154 (_ @t153 (_ @t152 @t163 @t15) @t18) @t22) (not (_ @t154 (_ @t153 @t156 @t162) @t22)) (not (_ @t154 (_ @t153 @t156 @t161) @t18)) (not (_ @t154 @t160 @t15)))))
155.73/156.06	(define @t165 () (@const 8 (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
155.73/156.06	(define @t166 () (_ @t154 (_ @t153 @t165 tptp.a) tptp.a))
155.73/156.06	(define @t167 () (_ @t154 (_ @t153 @t165 tptp.c) tptp.c))
155.73/156.06	(define @t168 () (@const 9 (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
155.73/156.06	(define @t169 () (_ @t154 (_ @t153 @t168 tptp.c) tptp.c))
155.73/156.06	(define @t170 () (_ @t153 @t168 @t159))
155.73/156.06	(define @t171 () (@const 10 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool))))
155.73/156.06	(define @t172 () (@const 11 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool))))
155.73/156.06	(define @t173 () (@const 12 (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
155.73/156.06	(define @t174 () (_ @t154 (_ @t153 @t173 tptp.a) tptp.a))
155.73/156.06	(define @t175 () (_ @t153 @t173 @t159))
155.73/156.06	(define @t176 () (@const 13 (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
155.73/156.06	(define @t177 () (_ @t154 (_ @t153 @t176 tptp.c) tptp.c))
155.73/156.06	(define @t178 () (_ @t153 @t176 @t159))
155.73/156.06	(define @t179 () (@const 14 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool))))
155.73/156.06	(define @t180 () (@const 15 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool))))
155.73/156.06	(define @t181 () (@const 16 (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
155.73/156.06	(define @t182 () (_ @t154 (_ @t153 @t181 tptp.a) tptp.a))
155.73/156.06	(define @t183 () (_ @t154 (_ @t153 @t181 tptp.b) tptp.b))
155.73/156.06	(define @t184 () (_ @t154 (_ @t153 @t181 tptp.c) tptp.c))
155.73/156.06	(define @t185 () (@const 17 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool))))
155.73/156.06	(define @t186 () (_ @t153 @t181 @t159))
155.73/156.06	(define @t187 () (_ @t154 (_ @t153 @t176 tptp.b) tptp.b))
155.73/156.06	(define @t188 () (_ @t154 (_ @t153 @t176 tptp.a) tptp.a))
155.73/156.06	(define @t189 () (_ @t154 (_ @t153 @t173 tptp.c) tptp.c))
155.73/156.06	(define @t190 () (_ @t154 (_ @t153 @t173 tptp.b) tptp.b))
155.73/156.06	(define @t191 () (_ @t154 (_ @t153 @t168 tptp.b) tptp.b))
155.73/156.06	(define @t192 () (_ @t154 (_ @t153 @t168 tptp.a) tptp.a))
155.73/156.06	(define @t193 () (_ @t153 @t165 @t159))
155.73/156.06	(define @t194 () (_ @t154 (_ @t153 @t165 tptp.b) tptp.b))
155.73/156.06	(define @t195 () (_ @t154 (_ @t153 @t156 tptp.c) tptp.c))
155.73/156.06	(define @t196 () (_ @t154 (_ @t153 @t156 tptp.b) tptp.b))
155.73/156.06	(define @t197 () (_ @t154 (_ @t153 @t156 tptp.a) tptp.a))
155.73/156.06	(define @t198 () (tptp.cP_1 tptp.d @t2))
155.73/156.06	(define @t199 () (tptp.cP_1 @t2 @t6))
155.73/156.06	(define @t200 () (tptp.f @t2))
155.73/156.06	(define @t201 () (tptp.cP_1 @t200 @t6))
155.73/156.06	(define @t202 () (tptp.cP_1 @t200 @t15))
155.73/156.06	(define @t203 () (tptp.f @t6))
155.73/156.06	(define @t204 () (tptp.cP_1 @t203 @t18))
155.73/156.06	(define @t205 () (tptp.f @t23))
155.73/156.06	(define @t206 () (tptp.cP_1 @t205 @t22))
155.73/156.06	(define @t207 () (tptp.cQ_2 @t15 @t18 @t22))
155.73/156.06	(define @t208 () (tptp.cQ_1 @t2 @t6 @t23))
155.73/156.06	(define @t209 () (tptp.cP_3 tptp.d @t2))
155.73/156.06	(define @t210 () (tptp.cP_3 @t2 @t6))
155.73/156.06	(define @t211 () (tptp.cP_3 @t200 @t6))
155.73/156.06	(define @t212 () (tptp.cQ_3 @t2 @t6 @t23))
155.73/156.06	(define @t213 () (tptp.cP_3 @t203 @t18))
155.73/156.06	(define @t214 () (tptp.cP_3 @t205 @t22))
155.73/156.06	(define @t215 () (tptp.cQ_4 @t15 @t18 @t22))
155.73/156.06	(define @t216 () (tptp.cP_3 @t200 @t15))
155.73/156.06	(define @t217 () (tptp.cP_4 @t2 @t6))
155.73/156.06	(define @t218 () (tptp.cP_4 @t200 @t6))
155.73/156.06	(define @t219 () (tptp.cP_5 tptp.d @t2))
155.73/156.06	(define @t220 () (tptp.cP_5 @t2 @t6))
155.73/156.06	(define @t221 () (tptp.cP_5 @t200 @t6))
155.73/156.06	(define @t222 () (tptp.cP_5 @t200 @t15))
155.73/156.06	(define @t223 () (tptp.cP_5 @t203 @t18))
155.73/156.06	(define @t224 () (tptp.cP_5 @t205 @t22))
155.73/156.06	(define @t225 () (tptp.cQ_6 @t15 @t18 @t22))
155.73/156.06	(define @t226 () (tptp.cQ_5 @t2 @t6 @t23))
155.73/156.06	(define @t227 () (tptp.cP_6 tptp.d @t2))
155.73/156.06	(define @t228 () (tptp.cQ_7 @t2 @t6 @t23))
155.73/156.06	(define @t229 () (tptp.cP_6 @t200 @t15))
155.73/156.06	(define @t230 () (tptp.cP_6 @t205 @t22))
155.73/156.06	(define @t231 () (tptp.cQ_7 @t15 @t18 @t22))
155.73/156.06	(define @t232 () (tptp.cP_6 @t203 @t18))
155.73/156.06	(define @t233 () (tptp.cQ_6 @t2 @t6 @t23))
155.73/156.06	(define @t234 () (tptp.cP_6 @t2 @t6))
155.73/156.06	(define @t235 () (tptp.cP_6 @t200 @t6))
155.73/156.06	(define @t236 () (tptp.cP_4 @t203 @t18))
155.73/156.06	(define @t237 () (tptp.cP_4 @t205 @t22))
155.73/156.06	(define @t238 () (tptp.cQ_5 @t15 @t18 @t22))
155.73/156.06	(define @t239 () (tptp.cP_4 @t200 @t15))
155.73/156.06	(define @t240 () (tptp.cQ_4 @t2 @t6 @t23))
155.73/156.06	(define @t241 () (tptp.cP_4 tptp.d @t2))
155.73/156.06	(define @t242 () (tptp.cQ_2 @t2 @t6 @t23))
155.73/156.06	(define @t243 () (tptp.cP_2 @t200 @t15))
155.73/156.06	(define @t244 () (tptp.cQ_3 @t15 @t18 @t22))
155.73/156.06	(define @t245 () (tptp.cP_2 @t205 @t22))
155.73/156.06	(define @t246 () (tptp.cP_2 @t203 @t18))
155.73/156.06	(define @t247 () (tptp.cP_2 @t200 @t6))
155.73/156.06	(define @t248 () (tptp.cP_2 @t2 @t6))
155.73/156.06	(define @t249 () (tptp.cP_2 tptp.d @t2))
155.73/156.06	(define @t250 () (_ tptp.cP_1 @t200))
155.73/156.06	(define @t251 () (_ tptp.cP_3 @t200))
155.73/156.06	(define @t252 () (_ tptp.cP_4 @t200))
155.73/156.06	(define @t253 () (_ tptp.cP_5 @t200))
155.73/156.06	(define @t254 () (_ tptp.cP_6 @t200))
155.73/156.06	(define @t255 () (_ tptp.cP_2 @t200))
155.73/156.06	(define @t256 () (@list tptp.a tptp.b tptp.c tptp.a tptp.b tptp.c))
155.73/156.06	(define @t257 () (@list tptp.a tptp.a))
155.73/156.06	(define @t258 () (not @t192))
155.73/156.06	(define @t259 () (_ @t158 @t157 tptp.a))
155.73/156.06	(define @t260 () (_ @t154 (_ @t153 @t168 @t259) tptp.a))
155.73/156.06	(define @t261 () (or @t260 @t258))
155.73/156.06	(define @t262 () (@list false false))
155.73/156.06	(define @t263 () (not @t174))
155.73/156.06	(define @t264 () (_ @t154 (_ @t153 @t173 @t259) tptp.a))
155.73/156.06	(define @t265 () (or @t264 @t263))
155.73/156.06	(define @t266 () (not @t182))
155.73/156.06	(define @t267 () (_ @t154 (_ @t153 @t181 @t259) tptp.a))
155.73/156.06	(define @t268 () (or @t267 @t266))
155.73/156.06	(define @t269 () (@list tptp.c tptp.c))
155.73/156.06	(define @t270 () (not @t184))
155.73/156.06	(define @t271 () (_ @t158 @t157 tptp.c))
155.73/156.06	(define @t272 () (_ @t154 (_ @t153 @t181 @t271) tptp.c))
155.73/156.06	(define @t273 () (or @t272 @t270))
155.73/156.06	(define @t274 () (@list tptp.b tptp.b))
155.73/156.06	(define @t275 () (not @t183))
155.73/156.06	(define @t276 () (_ @t158 @t157 tptp.b))
155.73/156.06	(define @t277 () (_ @t154 (_ @t153 @t181 @t276) tptp.b))
155.73/156.06	(define @t278 () (or @t277 @t275))
155.73/156.06	(define @t279 () (not @t267))
155.73/156.06	(define @t280 () (not @t272))
155.73/156.06	(define @t281 () (_ @t154 (_ @t153 (_ @t152 @t185 tptp.a) tptp.b) tptp.c))
155.73/156.06	(define @t282 () (not @t277))
155.73/156.06	(define @t283 () (_ @t154 (_ @t153 (_ @t152 @t179 tptp.a) tptp.b) tptp.c))
155.73/156.06	(define @t284 () (not @t283))
155.73/156.06	(define @t285 () (or @t284 @t282 @t281 @t280 @t279))
155.73/156.06	(define @t286 () (not @t188))
155.73/156.06	(define @t287 () (_ @t154 (_ @t153 @t176 @t259) tptp.a))
155.73/156.06	(define @t288 () (or @t287 @t286))
155.73/156.06	(define @t289 () (not @t177))
155.73/156.06	(define @t290 () (_ @t154 (_ @t153 @t176 @t271) tptp.c))
155.73/156.06	(define @t291 () (or @t290 @t289))
155.73/156.06	(define @t292 () (not @t187))
155.73/156.06	(define @t293 () (_ @t154 (_ @t153 @t176 @t276) tptp.b))
155.73/156.06	(define @t294 () (or @t293 @t292))
155.73/156.06	(define @t295 () (not @t287))
155.73/156.06	(define @t296 () (not @t293))
155.73/156.06	(define @t297 () (not @t290))
155.73/156.06	(define @t298 () (_ @t154 (_ @t153 (_ @t152 @t180 tptp.a) tptp.b) tptp.c))
155.73/156.06	(define @t299 () (not @t298))
155.73/156.06	(define @t300 () (or @t299 @t283 @t297 @t296 @t295))
155.73/156.06	(define @t301 () (@list false false false true false))
155.73/156.06	(define @t302 () (not @t189))
155.73/156.06	(define @t303 () (_ @t154 (_ @t153 @t173 @t271) tptp.c))
155.73/156.06	(define @t304 () (or @t303 @t302))
155.73/156.06	(define @t305 () (not @t190))
155.73/156.06	(define @t306 () (_ @t154 (_ @t153 @t173 @t276) tptp.b))
155.73/156.06	(define @t307 () (or @t306 @t305))
155.73/156.06	(define @t308 () (not @t306))
155.73/156.06	(define @t309 () (not @t303))
155.73/156.06	(define @t310 () (not @t264))
155.73/156.06	(define @t311 () (_ @t154 (_ @t153 (_ @t152 @t172 tptp.a) tptp.b) tptp.c))
155.73/156.06	(define @t312 () (not @t311))
155.73/156.06	(define @t313 () (or @t312 @t310 @t298 @t309 @t308))
155.73/156.06	(define @t314 () (@list false false true false false))
155.73/156.06	(define @t315 () (not @t169))
155.73/156.06	(define @t316 () (_ @t154 (_ @t153 @t168 @t271) tptp.c))
155.73/156.06	(define @t317 () (or @t316 @t315))
155.73/156.06	(define @t318 () (not @t191))
155.73/156.06	(define @t319 () (_ @t154 (_ @t153 @t168 @t276) tptp.b))
155.73/156.06	(define @t320 () (or @t319 @t318))
155.73/156.06	(define @t321 () (_ @t154 (_ @t153 (_ @t152 @t171 tptp.a) tptp.b) tptp.c))
155.73/156.06	(define @t322 () (not @t321))
155.73/156.06	(define @t323 () (not @t319))
155.73/156.06	(define @t324 () (not @t316))
155.73/156.06	(define @t325 () (not @t260))
155.73/156.06	(define @t326 () (or @t325 @t311 @t324 @t323 @t322))
155.73/156.06	(define @t327 () (_ @t154 (_ @t153 @t165 @t259) tptp.a))
155.73/156.06	(define @t328 () (not @t166))
155.73/156.06	(define @t329 () (or @t328 @t327))
155.73/156.06	(define @t330 () (_ @t154 (_ @t153 @t165 @t271) tptp.c))
155.73/156.06	(define @t331 () (not @t167))
155.73/156.06	(define @t332 () (or @t331 @t330))
155.73/156.06	(define @t333 () (_ @t154 (_ @t153 @t165 @t276) tptp.b))
155.73/156.06	(define @t334 () (not @t194))
155.73/156.06	(define @t335 () (or @t334 @t333))
155.73/156.06	(define @t336 () (_ @t154 (_ @t153 (_ @t152 @t163 tptp.a) tptp.b) tptp.c))
155.73/156.06	(define @t337 () (not @t336))
155.73/156.06	(define @t338 () (not @t327))
155.73/156.06	(define @t339 () (not @t330))
155.73/156.06	(define @t340 () (not @t333))
155.73/156.06	(define @t341 () (or @t340 @t339 @t321 @t338 @t337))
155.73/156.06	(define @t342 () (not @t197))
155.73/156.06	(define @t343 () (_ @t154 (_ @t153 @t156 @t259) tptp.a))
155.73/156.06	(define @t344 () (or @t343 @t342))
155.73/156.06	(define @t345 () (not @t195))
155.73/156.06	(define @t346 () (_ @t154 (_ @t153 @t156 @t271) tptp.c))
155.73/156.06	(define @t347 () (or @t346 @t345))
155.73/156.06	(define @t348 () (not @t196))
155.73/156.06	(define @t349 () (_ @t154 (_ @t153 @t156 @t276) tptp.b))
155.73/156.06	(define @t350 () (or @t349 @t348))
155.73/156.06	(define @t351 () (not @t343))
155.73/156.06	(define @t352 () (not @t349))
155.73/156.06	(define @t353 () (not @t346))
155.73/156.06	(define @t354 () (not @t155))
155.73/156.06	(define @t355 () (or @t354 @t336 @t353 @t352 @t351))
155.73/156.06	(assume @p1 (not (not @t150)))
155.73/156.06	(assume @p2 true)
155.73/156.06	; WARNING: add trust step for TRUST
155.73/156.06	; trust TRUST PREPROCESS_HO_ELIM
155.73/156.06	(step @p3 :rule trust :premises () :args ((= (and @t149 @t148 @t147 @t146 (forall @t4 @t249) (forall @t13 (or (not @t248) @t247)) (forall @t31 (or (not @t246) (not @t245) @t244 (not @t243) (not @t242))) @t126 @t125 @t124 @t123 (forall @t4 @t241) (forall @t31 (or (not @t240) (not @t239) @t238 (not @t237) (not @t236))) @t109 @t108 (forall @t13 (or @t235 (not @t234))) (forall @t31 (or (not @t233) (not @t232) @t231 (not @t230) (not @t229))) (forall @t89 (not @t228)) (forall @t4 @t227) @t84 @t83 @t82 (forall @t31 (or (not @t226) @t225 (not @t224) (not @t223) (not @t222))) (forall @t13 (or @t221 (not @t220))) (forall @t4 @t219) @t62 (forall @t13 (or @t218 (not @t217))) @t55 (forall @t31 (or (not @t216) @t215 (not @t214) (not @t213) (not @t212))) (forall @t13 (or @t211 (not @t210))) (forall @t4 @t209) @t35 @t34 @t33 (forall @t31 (or (not @t208) @t207 (not @t206) (not @t204) (not @t202))) (forall @t13 (or @t201 (not @t199))) (forall @t4 @t198) @t1) (and @t197 @t196 @t195 @t194 (forall @t4 (_ @t154 (_ @t153 @t165 tptp.d) @t2)) (forall @t13 (or (not (_ @t154 (_ @t153 @t165 @t2) @t6)) (_ @t154 @t193 @t6))) (forall @t31 (or (not (_ @t154 (_ @t153 @t165 @t161) @t18)) (not (_ @t154 (_ @t153 @t165 @t162) @t22)) (_ @t154 (_ @t153 (_ @t152 @t171 @t15) @t18) @t22) (not (_ @t154 @t193 @t15)) (not (_ @t154 (_ @t153 (_ @t152 @t163 @t2) @t6) @t23)))) @t192 @t191 @t190 @t189 (forall @t4 (_ @t154 (_ @t153 @t173 tptp.d) @t2)) (forall @t31 (or (not (_ @t154 (_ @t153 (_ @t152 @t172 @t2) @t6) @t23)) (not (_ @t154 @t175 @t15)) (_ @t154 (_ @t153 (_ @t152 @t180 @t15) @t18) @t22) (not (_ @t154 (_ @t153 @t173 @t162) @t22)) (not (_ @t154 (_ @t153 @t173 @t161) @t18)))) @t188 @t187 (forall @t13 (or (_ @t154 @t186 @t6) (not (_ @t154 (_ @t153 @t181 @t2) @t6)))) (forall @t31 (or (not (_ @t154 (_ @t153 (_ @t152 @t179 @t2) @t6) @t23)) (not (_ @t154 (_ @t153 @t181 @t161) @t18)) (_ @t154 (_ @t153 (_ @t152 @t185 @t15) @t18) @t22) (not (_ @t154 (_ @t153 @t181 @t162) @t22)) (not (_ @t154 @t186 @t15)))) (forall @t89 (not (_ @t154 (_ @t153 (_ @t152 @t185 @t2) @t6) @t23))) (forall @t4 (_ @t154 (_ @t153 @t181 tptp.d) @t2)) @t184 @t183 @t182 (forall @t31 (or (not (_ @t154 (_ @t153 (_ @t152 @t180 @t2) @t6) @t23)) (_ @t154 (_ @t153 (_ @t152 @t179 @t15) @t18) @t22) (not (_ @t154 (_ @t153 @t176 @t162) @t22)) (not (_ @t154 (_ @t153 @t176 @t161) @t18)) (not (_ @t154 @t178 @t15)))) (forall @t13 (or (_ @t154 @t178 @t6) (not (_ @t154 (_ @t153 @t176 @t2) @t6)))) (forall @t4 (_ @t154 (_ @t153 @t176 tptp.d) @t2)) @t177 (forall @t13 (or (_ @t154 @t175 @t6) (not (_ @t154 (_ @t153 @t173 @t2) @t6)))) @t174 (forall @t31 (or (not (_ @t154 @t170 @t15)) (_ @t154 (_ @t153 (_ @t152 @t172 @t15) @t18) @t22) (not (_ @t154 (_ @t153 @t168 @t162) @t22)) (not (_ @t154 (_ @t153 @t168 @t161) @t18)) (not (_ @t154 (_ @t153 (_ @t152 @t171 @t2) @t6) @t23)))) (forall @t13 (or (_ @t154 @t170 @t6) (not (_ @t154 (_ @t153 @t168 @t2) @t6)))) (forall @t4 (_ @t154 (_ @t153 @t168 tptp.d) @t2)) @t169 @t167 @t166 @t164 (forall @t13 (or (_ @t154 @t160 @t6) (not (_ @t154 (_ @t153 @t156 @t2) @t6)))) (forall @t4 (_ @t154 (_ @t153 @t156 tptp.d) @t2)) @t155))))
155.73/156.06	(step @p4 :rule refl :args (@t1))
155.73/156.06	(step @p5 :rule refl :args (@t198))
155.73/156.06	(step @p6 :rule refl :args (@t3))
155.73/156.06	(step @p7 :rule cong :premises (@p6 @p5) :args ((= @t3 @t198)))
155.73/156.06	(step @p8 :rule symm :premises (@p7))
155.73/156.06	(step @p9 :rule eq_resolve :premises (@p6 @p8))
155.73/156.06	(step @p10 :rule cong :premises (@p9) :args (@t5))
155.73/156.06	(step @p11 :rule refl :args (@t199))
155.73/156.06	(step @p12 :rule refl :args (@t7))
155.73/156.06	(step @p13 :rule cong :premises (@p12 @p11) :args ((= @t7 @t199)))
155.73/156.06	(step @p14 :rule symm :premises (@p13))
155.73/156.06	(step @p15 :rule eq_resolve :premises (@p12 @p14))
155.73/156.06	(step @p16 :rule cong :premises (@p15) :args (@t8))
155.73/156.06	(step @p17 :rule refl :args ((tptp.cP_1 @t9 @t6)))
155.73/156.06	(step @p18 :rule refl :args (@t6))
155.73/156.06	(step @p19 :rule refl :args (@t200))
155.73/156.06	(step @p20 :rule cong :premises (@p19 @p18) :args (@t201))
155.73/156.06	(step @p21 :rule trans :premises (@p20 @p17))
155.73/156.06	(step @p22 :rule refl :args (tptp.cP_1))
155.73/156.06	(step @p23 :rule ho_cong :premises (@p22 @p19))
155.73/156.06	(step @p24 :rule ho_cong :premises (@p23 @p18))
155.73/156.06	(step @p25 :rule cong :premises (@p24 @p21) :args ((= (_ @t250 @t6) @t201)))
155.73/156.06	(step @p26 :rule symm :premises (@p25))
155.73/156.06	(step @p27 :rule refl :args (@t11))
155.73/156.06	(step @p28 :rule eq_resolve :premises (@p27 @p26))
155.73/156.06	(step @p29 :rule refl :args (@t9))
155.73/156.06	(step @p30 :rule cong :premises (@p29 @p19) :args ((= @t9 @t200)))
155.73/156.06	(step @p31 :rule symm :premises (@p30))
155.73/156.06	(step @p32 :rule eq_resolve :premises (@p29 @p31))
155.73/156.06	(step @p33 :rule ho_cong :premises (@p22 @p32))
155.73/156.06	(step @p34 :rule ho_cong :premises (@p33 @p18))
155.73/156.06	(step @p35 :rule trans :premises (@p34 @p28))
155.73/156.06	(step @p36 :rule nary_cong :premises (@p35 @p16) :args (@t12))
155.73/156.06	(step @p37 :rule cong :premises (@p36) :args (@t14))
155.73/156.06	(step @p38 :rule refl :args ((tptp.cP_1 @t9 @t15)))
155.73/156.06	(step @p39 :rule refl :args (@t15))
155.73/156.06	(step @p40 :rule cong :premises (@p19 @p39) :args (@t202))
155.73/156.06	(step @p41 :rule trans :premises (@p40 @p38))
155.73/156.06	(step @p42 :rule ho_cong :premises (@p23 @p39))
155.73/156.06	(step @p43 :rule cong :premises (@p42 @p41) :args ((= (_ @t250 @t15) @t202)))
155.73/156.06	(step @p44 :rule symm :premises (@p43))
155.73/156.06	(step @p45 :rule refl :args (@t16))
155.73/156.06	(step @p46 :rule eq_resolve :premises (@p45 @p44))
155.73/156.06	(step @p47 :rule ho_cong :premises (@p33 @p39))
155.73/156.06	(step @p48 :rule trans :premises (@p47 @p46))
155.73/156.06	(step @p49 :rule cong :premises (@p48) :args (@t17))
155.73/156.06	(step @p50 :rule refl :args ((tptp.cP_1 @t19 @t18)))
155.73/156.06	(step @p51 :rule refl :args (@t18))
155.73/156.06	(step @p52 :rule refl :args (@t203))
155.73/156.06	(step @p53 :rule cong :premises (@p52 @p51) :args (@t204))
155.73/156.06	(step @p54 :rule trans :premises (@p53 @p50))
155.73/156.06	(step @p55 :rule ho_cong :premises (@p22 @p52))
155.73/156.06	(step @p56 :rule ho_cong :premises (@p55 @p51))
155.73/156.06	(step @p57 :rule cong :premises (@p56 @p54) :args ((= (_ (_ tptp.cP_1 @t203) @t18) @t204)))
155.73/156.06	(step @p58 :rule symm :premises (@p57))
155.73/156.06	(step @p59 :rule refl :args (@t20))
155.73/156.06	(step @p60 :rule eq_resolve :premises (@p59 @p58))
155.73/156.06	(step @p61 :rule refl :args (@t19))
155.73/156.06	(step @p62 :rule cong :premises (@p61 @p52) :args ((= @t19 @t203)))
155.73/156.06	(step @p63 :rule symm :premises (@p62))
155.73/156.06	(step @p64 :rule eq_resolve :premises (@p61 @p63))
155.73/156.06	(step @p65 :rule ho_cong :premises (@p22 @p64))
155.73/156.06	(step @p66 :rule ho_cong :premises (@p65 @p51))
155.73/156.06	(step @p67 :rule trans :premises (@p66 @p60))
155.73/156.06	(step @p68 :rule cong :premises (@p67) :args (@t21))
155.73/156.06	(step @p69 :rule refl :args ((tptp.cP_1 @t24 @t22)))
155.73/156.06	(step @p70 :rule refl :args (@t22))
155.73/156.06	(step @p71 :rule refl :args (@t205))
155.73/156.06	(step @p72 :rule cong :premises (@p71 @p70) :args (@t206))
155.73/156.06	(step @p73 :rule trans :premises (@p72 @p69))
155.73/156.06	(step @p74 :rule ho_cong :premises (@p22 @p71))
155.73/156.06	(step @p75 :rule ho_cong :premises (@p74 @p70))
155.73/156.06	(step @p76 :rule cong :premises (@p75 @p73) :args ((= (_ (_ tptp.cP_1 @t205) @t22) @t206)))
155.73/156.06	(step @p77 :rule symm :premises (@p76))
155.73/156.06	(step @p78 :rule refl :args (@t25))
155.73/156.06	(step @p79 :rule eq_resolve :premises (@p78 @p77))
155.73/156.06	(step @p80 :rule refl :args (@t24))
155.73/156.06	(step @p81 :rule cong :premises (@p80 @p71) :args ((= @t24 @t205)))
155.73/156.06	(step @p82 :rule symm :premises (@p81))
155.73/156.06	(step @p83 :rule eq_resolve :premises (@p80 @p82))
155.73/156.06	(step @p84 :rule ho_cong :premises (@p22 @p83))
155.73/156.06	(step @p85 :rule ho_cong :premises (@p84 @p70))
155.73/156.06	(step @p86 :rule trans :premises (@p85 @p79))
155.73/156.06	(step @p87 :rule cong :premises (@p86) :args (@t26))
155.73/156.06	(step @p88 :rule refl :args (@t207))
155.73/156.06	(step @p89 :rule refl :args (@t27))
155.73/156.06	(step @p90 :rule cong :premises (@p89 @p88) :args ((= @t27 @t207)))
155.73/156.06	(step @p91 :rule symm :premises (@p90))
155.73/156.06	(step @p92 :rule eq_resolve :premises (@p89 @p91))
155.73/156.06	(step @p93 :rule refl :args (@t208))
155.73/156.06	(step @p94 :rule refl :args (@t28))
155.73/156.06	(step @p95 :rule cong :premises (@p94 @p93) :args ((= @t28 @t208)))
155.73/156.06	(step @p96 :rule symm :premises (@p95))
155.73/156.06	(step @p97 :rule eq_resolve :premises (@p94 @p96))
155.73/156.06	(step @p98 :rule cong :premises (@p97) :args (@t29))
155.73/156.06	(step @p99 :rule nary_cong :premises (@p98 @p92 @p87 @p68 @p49) :args (@t30))
155.73/156.06	(step @p100 :rule cong :premises (@p99) :args (@t32))
155.73/156.06	(step @p101 :rule refl :args (@t33))
155.73/156.06	(step @p102 :rule refl :args (@t34))
155.73/156.06	(step @p103 :rule refl :args (@t35))
155.73/156.06	(step @p104 :rule refl :args (@t209))
155.73/156.06	(step @p105 :rule refl :args (@t36))
155.73/156.06	(step @p106 :rule cong :premises (@p105 @p104) :args ((= @t36 @t209)))
155.73/156.06	(step @p107 :rule symm :premises (@p106))
155.73/156.06	(step @p108 :rule eq_resolve :premises (@p105 @p107))
155.73/156.06	(step @p109 :rule cong :premises (@p108) :args (@t37))
155.73/156.06	(step @p110 :rule refl :args (@t210))
155.73/156.06	(step @p111 :rule refl :args (@t38))
155.73/156.06	(step @p112 :rule cong :premises (@p111 @p110) :args ((= @t38 @t210)))
155.73/156.06	(step @p113 :rule symm :premises (@p112))
155.73/156.06	(step @p114 :rule eq_resolve :premises (@p111 @p113))
155.73/156.06	(step @p115 :rule cong :premises (@p114) :args (@t39))
155.73/156.06	(step @p116 :rule refl :args ((tptp.cP_3 @t9 @t6)))
155.73/156.06	(step @p117 :rule cong :premises (@p19 @p18) :args (@t211))
155.73/156.06	(step @p118 :rule trans :premises (@p117 @p116))
155.73/156.06	(step @p119 :rule refl :args (tptp.cP_3))
155.73/156.06	(step @p120 :rule ho_cong :premises (@p119 @p19))
155.73/156.06	(step @p121 :rule ho_cong :premises (@p120 @p18))
155.73/156.06	(step @p122 :rule cong :premises (@p121 @p118) :args ((= (_ @t251 @t6) @t211)))
155.73/156.06	(step @p123 :rule symm :premises (@p122))
155.73/156.06	(step @p124 :rule refl :args (@t41))
155.73/156.06	(step @p125 :rule eq_resolve :premises (@p124 @p123))
155.73/156.06	(step @p126 :rule ho_cong :premises (@p119 @p32))
155.73/156.06	(step @p127 :rule ho_cong :premises (@p126 @p18))
155.73/156.06	(step @p128 :rule trans :premises (@p127 @p125))
155.73/156.06	(step @p129 :rule nary_cong :premises (@p128 @p115) :args (@t42))
155.73/156.06	(step @p130 :rule cong :premises (@p129) :args (@t43))
155.73/156.06	(step @p131 :rule refl :args (@t212))
155.73/156.06	(step @p132 :rule refl :args (@t44))
155.73/156.06	(step @p133 :rule cong :premises (@p132 @p131) :args ((= @t44 @t212)))
155.73/156.06	(step @p134 :rule symm :premises (@p133))
155.73/156.06	(step @p135 :rule eq_resolve :premises (@p132 @p134))
155.73/156.06	(step @p136 :rule cong :premises (@p135) :args (@t45))
155.73/156.06	(step @p137 :rule refl :args ((tptp.cP_3 @t19 @t18)))
155.73/156.06	(step @p138 :rule cong :premises (@p52 @p51) :args (@t213))
155.73/156.06	(step @p139 :rule trans :premises (@p138 @p137))
155.73/156.06	(step @p140 :rule ho_cong :premises (@p119 @p52))
155.73/156.06	(step @p141 :rule ho_cong :premises (@p140 @p51))
155.73/156.06	(step @p142 :rule cong :premises (@p141 @p139) :args ((= (_ (_ tptp.cP_3 @t203) @t18) @t213)))
155.73/156.06	(step @p143 :rule symm :premises (@p142))
155.73/156.06	(step @p144 :rule refl :args (@t46))
155.73/156.06	(step @p145 :rule eq_resolve :premises (@p144 @p143))
155.73/156.06	(step @p146 :rule ho_cong :premises (@p119 @p64))
155.73/156.06	(step @p147 :rule ho_cong :premises (@p146 @p51))
155.73/156.06	(step @p148 :rule trans :premises (@p147 @p145))
155.73/156.06	(step @p149 :rule cong :premises (@p148) :args (@t47))
155.73/156.06	(step @p150 :rule refl :args ((tptp.cP_3 @t24 @t22)))
155.73/156.06	(step @p151 :rule cong :premises (@p71 @p70) :args (@t214))
155.73/156.06	(step @p152 :rule trans :premises (@p151 @p150))
155.73/156.06	(step @p153 :rule ho_cong :premises (@p119 @p71))
155.73/156.06	(step @p154 :rule ho_cong :premises (@p153 @p70))
155.73/156.06	(step @p155 :rule cong :premises (@p154 @p152) :args ((= (_ (_ tptp.cP_3 @t205) @t22) @t214)))
155.73/156.06	(step @p156 :rule symm :premises (@p155))
155.73/156.06	(step @p157 :rule refl :args (@t48))
155.73/156.06	(step @p158 :rule eq_resolve :premises (@p157 @p156))
155.73/156.06	(step @p159 :rule ho_cong :premises (@p119 @p83))
155.73/156.06	(step @p160 :rule ho_cong :premises (@p159 @p70))
155.73/156.06	(step @p161 :rule trans :premises (@p160 @p158))
155.73/156.06	(step @p162 :rule cong :premises (@p161) :args (@t49))
155.73/156.06	(step @p163 :rule refl :args (@t215))
155.73/156.06	(step @p164 :rule refl :args (@t50))
155.73/156.06	(step @p165 :rule cong :premises (@p164 @p163) :args ((= @t50 @t215)))
155.73/156.06	(step @p166 :rule symm :premises (@p165))
155.73/156.06	(step @p167 :rule eq_resolve :premises (@p164 @p166))
155.73/156.06	(step @p168 :rule refl :args ((tptp.cP_3 @t9 @t15)))
155.73/156.06	(step @p169 :rule cong :premises (@p19 @p39) :args (@t216))
155.73/156.06	(step @p170 :rule trans :premises (@p169 @p168))
155.73/156.06	(step @p171 :rule ho_cong :premises (@p120 @p39))
155.73/156.06	(step @p172 :rule cong :premises (@p171 @p170) :args ((= (_ @t251 @t15) @t216)))
155.73/156.06	(step @p173 :rule symm :premises (@p172))
155.73/156.06	(step @p174 :rule refl :args (@t51))
155.73/156.06	(step @p175 :rule eq_resolve :premises (@p174 @p173))
155.73/156.06	(step @p176 :rule ho_cong :premises (@p126 @p39))
155.73/156.06	(step @p177 :rule trans :premises (@p176 @p175))
155.73/156.06	(step @p178 :rule cong :premises (@p177) :args (@t52))
155.73/156.06	(step @p179 :rule nary_cong :premises (@p178 @p167 @p162 @p149 @p136) :args (@t53))
155.73/156.06	(step @p180 :rule cong :premises (@p179) :args (@t54))
155.73/156.06	(step @p181 :rule refl :args (@t55))
155.73/156.06	(step @p182 :rule refl :args (@t217))
155.73/156.06	(step @p183 :rule refl :args (@t56))
155.73/156.06	(step @p184 :rule cong :premises (@p183 @p182) :args ((= @t56 @t217)))
155.73/156.06	(step @p185 :rule symm :premises (@p184))
155.73/156.06	(step @p186 :rule eq_resolve :premises (@p183 @p185))
155.73/156.06	(step @p187 :rule cong :premises (@p186) :args (@t57))
155.73/156.06	(step @p188 :rule refl :args ((tptp.cP_4 @t9 @t6)))
155.73/156.06	(step @p189 :rule cong :premises (@p19 @p18) :args (@t218))
155.73/156.06	(step @p190 :rule trans :premises (@p189 @p188))
155.73/156.06	(step @p191 :rule refl :args (tptp.cP_4))
155.73/156.06	(step @p192 :rule ho_cong :premises (@p191 @p19))
155.73/156.06	(step @p193 :rule ho_cong :premises (@p192 @p18))
155.73/156.06	(step @p194 :rule cong :premises (@p193 @p190) :args ((= (_ @t252 @t6) @t218)))
155.73/156.06	(step @p195 :rule symm :premises (@p194))
155.73/156.06	(step @p196 :rule refl :args (@t59))
155.73/156.06	(step @p197 :rule eq_resolve :premises (@p196 @p195))
155.73/156.06	(step @p198 :rule ho_cong :premises (@p191 @p32))
155.73/156.06	(step @p199 :rule ho_cong :premises (@p198 @p18))
155.73/156.06	(step @p200 :rule trans :premises (@p199 @p197))
155.73/156.06	(step @p201 :rule nary_cong :premises (@p200 @p187) :args (@t60))
155.73/156.06	(step @p202 :rule cong :premises (@p201) :args (@t61))
155.73/156.06	(step @p203 :rule refl :args (@t62))
155.73/156.06	(step @p204 :rule refl :args (@t219))
155.73/156.06	(step @p205 :rule refl :args (@t63))
155.73/156.06	(step @p206 :rule cong :premises (@p205 @p204) :args ((= @t63 @t219)))
155.73/156.06	(step @p207 :rule symm :premises (@p206))
155.73/156.06	(step @p208 :rule eq_resolve :premises (@p205 @p207))
155.73/156.06	(step @p209 :rule cong :premises (@p208) :args (@t64))
155.73/156.06	(step @p210 :rule refl :args (@t220))
155.73/156.06	(step @p211 :rule refl :args (@t65))
155.73/156.06	(step @p212 :rule cong :premises (@p211 @p210) :args ((= @t65 @t220)))
155.73/156.06	(step @p213 :rule symm :premises (@p212))
155.73/156.06	(step @p214 :rule eq_resolve :premises (@p211 @p213))
155.73/156.06	(step @p215 :rule cong :premises (@p214) :args (@t66))
155.73/156.06	(step @p216 :rule refl :args ((tptp.cP_5 @t9 @t6)))
155.73/156.06	(step @p217 :rule cong :premises (@p19 @p18) :args (@t221))
155.73/156.06	(step @p218 :rule trans :premises (@p217 @p216))
155.73/156.06	(step @p219 :rule refl :args (tptp.cP_5))
155.73/156.06	(step @p220 :rule ho_cong :premises (@p219 @p19))
155.73/156.06	(step @p221 :rule ho_cong :premises (@p220 @p18))
155.73/156.06	(step @p222 :rule cong :premises (@p221 @p218) :args ((= (_ @t253 @t6) @t221)))
155.73/156.06	(step @p223 :rule symm :premises (@p222))
155.73/156.06	(step @p224 :rule refl :args (@t68))
155.73/156.06	(step @p225 :rule eq_resolve :premises (@p224 @p223))
155.73/156.06	(step @p226 :rule ho_cong :premises (@p219 @p32))
155.73/156.06	(step @p227 :rule ho_cong :premises (@p226 @p18))
155.73/156.06	(step @p228 :rule trans :premises (@p227 @p225))
155.73/156.06	(step @p229 :rule nary_cong :premises (@p228 @p215) :args (@t69))
155.73/156.06	(step @p230 :rule cong :premises (@p229) :args (@t70))
155.73/156.06	(step @p231 :rule refl :args ((tptp.cP_5 @t9 @t15)))
155.73/156.06	(step @p232 :rule cong :premises (@p19 @p39) :args (@t222))
155.73/156.06	(step @p233 :rule trans :premises (@p232 @p231))
155.73/156.06	(step @p234 :rule ho_cong :premises (@p220 @p39))
155.73/156.06	(step @p235 :rule cong :premises (@p234 @p233) :args ((= (_ @t253 @t15) @t222)))
155.73/156.06	(step @p236 :rule symm :premises (@p235))
155.73/156.06	(step @p237 :rule refl :args (@t71))
155.73/156.06	(step @p238 :rule eq_resolve :premises (@p237 @p236))
155.73/156.06	(step @p239 :rule ho_cong :premises (@p226 @p39))
155.73/156.06	(step @p240 :rule trans :premises (@p239 @p238))
155.73/156.06	(step @p241 :rule cong :premises (@p240) :args (@t72))
155.73/156.06	(step @p242 :rule refl :args ((tptp.cP_5 @t19 @t18)))
155.73/156.06	(step @p243 :rule cong :premises (@p52 @p51) :args (@t223))
155.73/156.06	(step @p244 :rule trans :premises (@p243 @p242))
155.73/156.06	(step @p245 :rule ho_cong :premises (@p219 @p52))
155.73/156.06	(step @p246 :rule ho_cong :premises (@p245 @p51))
155.73/156.06	(step @p247 :rule cong :premises (@p246 @p244) :args ((= (_ (_ tptp.cP_5 @t203) @t18) @t223)))
155.73/156.06	(step @p248 :rule symm :premises (@p247))
155.73/156.06	(step @p249 :rule refl :args (@t73))
155.73/156.06	(step @p250 :rule eq_resolve :premises (@p249 @p248))
155.73/156.06	(step @p251 :rule ho_cong :premises (@p219 @p64))
155.73/156.06	(step @p252 :rule ho_cong :premises (@p251 @p51))
155.73/156.06	(step @p253 :rule trans :premises (@p252 @p250))
155.73/156.06	(step @p254 :rule cong :premises (@p253) :args (@t74))
155.73/156.06	(step @p255 :rule refl :args ((tptp.cP_5 @t24 @t22)))
155.73/156.06	(step @p256 :rule cong :premises (@p71 @p70) :args (@t224))
155.73/156.06	(step @p257 :rule trans :premises (@p256 @p255))
155.73/156.06	(step @p258 :rule ho_cong :premises (@p219 @p71))
155.73/156.06	(step @p259 :rule ho_cong :premises (@p258 @p70))
155.73/156.06	(step @p260 :rule cong :premises (@p259 @p257) :args ((= (_ (_ tptp.cP_5 @t205) @t22) @t224)))
155.73/156.06	(step @p261 :rule symm :premises (@p260))
155.73/156.06	(step @p262 :rule refl :args (@t75))
155.73/156.06	(step @p263 :rule eq_resolve :premises (@p262 @p261))
155.73/156.06	(step @p264 :rule ho_cong :premises (@p219 @p83))
155.73/156.06	(step @p265 :rule ho_cong :premises (@p264 @p70))
155.73/156.06	(step @p266 :rule trans :premises (@p265 @p263))
155.73/156.06	(step @p267 :rule cong :premises (@p266) :args (@t76))
155.73/156.06	(step @p268 :rule refl :args (@t225))
155.73/156.06	(step @p269 :rule refl :args (@t77))
155.73/156.06	(step @p270 :rule cong :premises (@p269 @p268) :args ((= @t77 @t225)))
155.73/156.06	(step @p271 :rule symm :premises (@p270))
155.73/156.06	(step @p272 :rule eq_resolve :premises (@p269 @p271))
155.73/156.06	(step @p273 :rule refl :args (@t226))
155.73/156.06	(step @p274 :rule refl :args (@t78))
155.73/156.06	(step @p275 :rule cong :premises (@p274 @p273) :args ((= @t78 @t226)))
155.73/156.06	(step @p276 :rule symm :premises (@p275))
155.73/156.06	(step @p277 :rule eq_resolve :premises (@p274 @p276))
155.73/156.06	(step @p278 :rule cong :premises (@p277) :args (@t79))
155.73/156.06	(step @p279 :rule nary_cong :premises (@p278 @p272 @p267 @p254 @p241) :args (@t80))
155.73/156.06	(step @p280 :rule cong :premises (@p279) :args (@t81))
155.73/156.06	(step @p281 :rule refl :args (@t82))
155.73/156.06	(step @p282 :rule refl :args (@t83))
155.73/156.06	(step @p283 :rule refl :args (@t84))
155.73/156.06	(step @p284 :rule refl :args (@t227))
155.73/156.06	(step @p285 :rule refl :args (@t85))
155.73/156.06	(step @p286 :rule cong :premises (@p285 @p284) :args ((= @t85 @t227)))
155.73/156.06	(step @p287 :rule symm :premises (@p286))
155.73/156.06	(step @p288 :rule eq_resolve :premises (@p285 @p287))
155.73/156.06	(step @p289 :rule cong :premises (@p288) :args (@t86))
155.73/156.06	(step @p290 :rule refl :args (@t228))
155.73/156.06	(step @p291 :rule refl :args (@t87))
155.73/156.06	(step @p292 :rule cong :premises (@p291 @p290) :args ((= @t87 @t228)))
155.73/156.06	(step @p293 :rule symm :premises (@p292))
155.73/156.06	(step @p294 :rule eq_resolve :premises (@p291 @p293))
155.73/156.06	(step @p295 :rule cong :premises (@p294) :args (@t88))
155.73/156.06	(step @p296 :rule cong :premises (@p295) :args (@t90))
155.73/156.06	(step @p297 :rule refl :args ((tptp.cP_6 @t9 @t15)))
155.73/156.06	(step @p298 :rule cong :premises (@p19 @p39) :args (@t229))
155.73/156.06	(step @p299 :rule trans :premises (@p298 @p297))
155.73/156.06	(step @p300 :rule refl :args (tptp.cP_6))
155.73/156.06	(step @p301 :rule ho_cong :premises (@p300 @p19))
155.73/156.06	(step @p302 :rule ho_cong :premises (@p301 @p39))
155.73/156.06	(step @p303 :rule cong :premises (@p302 @p299) :args ((= (_ @t254 @t15) @t229)))
155.73/156.06	(step @p304 :rule symm :premises (@p303))
155.73/156.06	(step @p305 :rule refl :args (@t92))
155.73/156.06	(step @p306 :rule eq_resolve :premises (@p305 @p304))
155.73/156.06	(step @p307 :rule ho_cong :premises (@p300 @p32))
155.73/156.06	(step @p308 :rule ho_cong :premises (@p307 @p39))
155.73/156.06	(step @p309 :rule trans :premises (@p308 @p306))
155.73/156.06	(step @p310 :rule cong :premises (@p309) :args (@t93))
155.73/156.06	(step @p311 :rule refl :args ((tptp.cP_6 @t24 @t22)))
155.73/156.06	(step @p312 :rule cong :premises (@p71 @p70) :args (@t230))
155.73/156.06	(step @p313 :rule trans :premises (@p312 @p311))
155.73/156.06	(step @p314 :rule ho_cong :premises (@p300 @p71))
155.73/156.06	(step @p315 :rule ho_cong :premises (@p314 @p70))
155.73/156.06	(step @p316 :rule cong :premises (@p315 @p313) :args ((= (_ (_ tptp.cP_6 @t205) @t22) @t230)))
155.73/156.06	(step @p317 :rule symm :premises (@p316))
155.73/156.06	(step @p318 :rule refl :args (@t94))
155.73/156.06	(step @p319 :rule eq_resolve :premises (@p318 @p317))
155.73/156.06	(step @p320 :rule ho_cong :premises (@p300 @p83))
155.73/156.06	(step @p321 :rule ho_cong :premises (@p320 @p70))
155.73/156.06	(step @p322 :rule trans :premises (@p321 @p319))
155.73/156.06	(step @p323 :rule cong :premises (@p322) :args (@t95))
155.73/156.06	(step @p324 :rule refl :args (@t231))
155.73/156.06	(step @p325 :rule refl :args (@t96))
155.73/156.06	(step @p326 :rule cong :premises (@p325 @p324) :args ((= @t96 @t231)))
155.73/156.06	(step @p327 :rule symm :premises (@p326))
155.73/156.06	(step @p328 :rule eq_resolve :premises (@p325 @p327))
155.73/156.06	(step @p329 :rule refl :args ((tptp.cP_6 @t19 @t18)))
155.73/156.06	(step @p330 :rule cong :premises (@p52 @p51) :args (@t232))
155.73/156.06	(step @p331 :rule trans :premises (@p330 @p329))
155.73/156.06	(step @p332 :rule ho_cong :premises (@p300 @p52))
155.73/156.06	(step @p333 :rule ho_cong :premises (@p332 @p51))
155.73/156.06	(step @p334 :rule cong :premises (@p333 @p331) :args ((= (_ (_ tptp.cP_6 @t203) @t18) @t232)))
155.73/156.06	(step @p335 :rule symm :premises (@p334))
155.73/156.06	(step @p336 :rule refl :args (@t97))
155.73/156.06	(step @p337 :rule eq_resolve :premises (@p336 @p335))
155.73/156.06	(step @p338 :rule ho_cong :premises (@p300 @p64))
155.73/156.06	(step @p339 :rule ho_cong :premises (@p338 @p51))
155.73/156.06	(step @p340 :rule trans :premises (@p339 @p337))
155.73/156.06	(step @p341 :rule cong :premises (@p340) :args (@t98))
155.73/156.06	(step @p342 :rule refl :args (@t233))
155.73/156.06	(step @p343 :rule refl :args (@t99))
155.73/156.06	(step @p344 :rule cong :premises (@p343 @p342) :args ((= @t99 @t233)))
155.73/156.06	(step @p345 :rule symm :premises (@p344))
155.73/156.06	(step @p346 :rule eq_resolve :premises (@p343 @p345))
155.73/156.06	(step @p347 :rule cong :premises (@p346) :args (@t100))
155.73/156.06	(step @p348 :rule nary_cong :premises (@p347 @p341 @p328 @p323 @p310) :args (@t101))
155.73/156.06	(step @p349 :rule cong :premises (@p348) :args (@t102))
155.73/156.06	(step @p350 :rule refl :args (@t234))
155.73/156.06	(step @p351 :rule refl :args (@t103))
155.73/156.06	(step @p352 :rule cong :premises (@p351 @p350) :args ((= @t103 @t234)))
155.73/156.06	(step @p353 :rule symm :premises (@p352))
155.73/156.06	(step @p354 :rule eq_resolve :premises (@p351 @p353))
155.73/156.06	(step @p355 :rule cong :premises (@p354) :args (@t104))
155.73/156.06	(step @p356 :rule refl :args ((tptp.cP_6 @t9 @t6)))
155.73/156.06	(step @p357 :rule cong :premises (@p19 @p18) :args (@t235))
155.73/156.06	(step @p358 :rule trans :premises (@p357 @p356))
155.73/156.06	(step @p359 :rule ho_cong :premises (@p301 @p18))
155.73/156.06	(step @p360 :rule cong :premises (@p359 @p358) :args ((= (_ @t254 @t6) @t235)))
155.73/156.06	(step @p361 :rule symm :premises (@p360))
155.73/156.06	(step @p362 :rule refl :args (@t105))
155.73/156.06	(step @p363 :rule eq_resolve :premises (@p362 @p361))
155.73/156.06	(step @p364 :rule ho_cong :premises (@p307 @p18))
155.73/156.06	(step @p365 :rule trans :premises (@p364 @p363))
155.73/156.06	(step @p366 :rule nary_cong :premises (@p365 @p355) :args (@t106))
155.73/156.06	(step @p367 :rule cong :premises (@p366) :args (@t107))
155.73/156.06	(step @p368 :rule refl :args (@t108))
155.73/156.06	(step @p369 :rule refl :args (@t109))
155.73/156.06	(step @p370 :rule refl :args ((tptp.cP_4 @t19 @t18)))
155.73/156.06	(step @p371 :rule cong :premises (@p52 @p51) :args (@t236))
155.73/156.06	(step @p372 :rule trans :premises (@p371 @p370))
155.73/156.06	(step @p373 :rule ho_cong :premises (@p191 @p52))
155.73/156.06	(step @p374 :rule ho_cong :premises (@p373 @p51))
155.73/156.06	(step @p375 :rule cong :premises (@p374 @p372) :args ((= (_ (_ tptp.cP_4 @t203) @t18) @t236)))
155.73/156.06	(step @p376 :rule symm :premises (@p375))
155.73/156.06	(step @p377 :rule refl :args (@t110))
155.73/156.06	(step @p378 :rule eq_resolve :premises (@p377 @p376))
155.73/156.06	(step @p379 :rule ho_cong :premises (@p191 @p64))
155.73/156.06	(step @p380 :rule ho_cong :premises (@p379 @p51))
155.73/156.06	(step @p381 :rule trans :premises (@p380 @p378))
155.73/156.06	(step @p382 :rule cong :premises (@p381) :args (@t111))
155.73/156.06	(step @p383 :rule refl :args ((tptp.cP_4 @t24 @t22)))
155.73/156.06	(step @p384 :rule cong :premises (@p71 @p70) :args (@t237))
155.73/156.06	(step @p385 :rule trans :premises (@p384 @p383))
155.73/156.06	(step @p386 :rule ho_cong :premises (@p191 @p71))
155.73/156.06	(step @p387 :rule ho_cong :premises (@p386 @p70))
155.73/156.06	(step @p388 :rule cong :premises (@p387 @p385) :args ((= (_ (_ tptp.cP_4 @t205) @t22) @t237)))
155.73/156.06	(step @p389 :rule symm :premises (@p388))
155.73/156.06	(step @p390 :rule refl :args (@t112))
155.73/156.06	(step @p391 :rule eq_resolve :premises (@p390 @p389))
155.73/156.06	(step @p392 :rule ho_cong :premises (@p191 @p83))
155.73/156.06	(step @p393 :rule ho_cong :premises (@p392 @p70))
155.73/156.06	(step @p394 :rule trans :premises (@p393 @p391))
155.73/156.06	(step @p395 :rule cong :premises (@p394) :args (@t113))
155.73/156.06	(step @p396 :rule refl :args (@t238))
155.73/156.06	(step @p397 :rule refl :args (@t114))
155.73/156.06	(step @p398 :rule cong :premises (@p397 @p396) :args ((= @t114 @t238)))
155.73/156.06	(step @p399 :rule symm :premises (@p398))
155.73/156.06	(step @p400 :rule eq_resolve :premises (@p397 @p399))
155.73/156.06	(step @p401 :rule refl :args ((tptp.cP_4 @t9 @t15)))
155.73/156.06	(step @p402 :rule cong :premises (@p19 @p39) :args (@t239))
155.73/156.06	(step @p403 :rule trans :premises (@p402 @p401))
155.73/156.06	(step @p404 :rule ho_cong :premises (@p192 @p39))
155.73/156.06	(step @p405 :rule cong :premises (@p404 @p403) :args ((= (_ @t252 @t15) @t239)))
155.73/156.06	(step @p406 :rule symm :premises (@p405))
155.73/156.06	(step @p407 :rule refl :args (@t115))
155.73/156.06	(step @p408 :rule eq_resolve :premises (@p407 @p406))
155.73/156.06	(step @p409 :rule ho_cong :premises (@p198 @p39))
155.73/156.06	(step @p410 :rule trans :premises (@p409 @p408))
155.73/156.06	(step @p411 :rule cong :premises (@p410) :args (@t116))
155.73/156.06	(step @p412 :rule refl :args (@t240))
155.73/156.06	(step @p413 :rule refl :args (@t117))
155.73/156.06	(step @p414 :rule cong :premises (@p413 @p412) :args ((= @t117 @t240)))
155.73/156.06	(step @p415 :rule symm :premises (@p414))
155.73/156.06	(step @p416 :rule eq_resolve :premises (@p413 @p415))
155.73/156.06	(step @p417 :rule cong :premises (@p416) :args (@t118))
155.73/156.06	(step @p418 :rule nary_cong :premises (@p417 @p411 @p400 @p395 @p382) :args (@t119))
155.73/156.06	(step @p419 :rule cong :premises (@p418) :args (@t120))
155.73/156.06	(step @p420 :rule refl :args (@t241))
155.73/156.06	(step @p421 :rule refl :args (@t121))
155.73/156.06	(step @p422 :rule cong :premises (@p421 @p420) :args ((= @t121 @t241)))
155.73/156.06	(step @p423 :rule symm :premises (@p422))
155.73/156.06	(step @p424 :rule eq_resolve :premises (@p421 @p423))
155.73/156.06	(step @p425 :rule cong :premises (@p424) :args (@t122))
155.73/156.06	(step @p426 :rule refl :args (@t123))
155.73/156.06	(step @p427 :rule refl :args (@t124))
155.73/156.06	(step @p428 :rule refl :args (@t125))
155.73/156.06	(step @p429 :rule refl :args (@t126))
155.73/156.06	(step @p430 :rule refl :args (@t242))
155.73/156.06	(step @p431 :rule refl :args (@t127))
155.73/156.06	(step @p432 :rule cong :premises (@p431 @p430) :args ((= @t127 @t242)))
155.73/156.06	(step @p433 :rule symm :premises (@p432))
155.73/156.06	(step @p434 :rule eq_resolve :premises (@p431 @p433))
155.73/156.06	(step @p435 :rule cong :premises (@p434) :args (@t128))
155.73/156.06	(step @p436 :rule refl :args ((tptp.cP_2 @t9 @t15)))
155.73/156.06	(step @p437 :rule cong :premises (@p19 @p39) :args (@t243))
155.73/156.06	(step @p438 :rule trans :premises (@p437 @p436))
155.73/156.06	(step @p439 :rule refl :args (tptp.cP_2))
155.73/156.06	(step @p440 :rule ho_cong :premises (@p439 @p19))
155.73/156.06	(step @p441 :rule ho_cong :premises (@p440 @p39))
155.73/156.06	(step @p442 :rule cong :premises (@p441 @p438) :args ((= (_ @t255 @t15) @t243)))
155.73/156.06	(step @p443 :rule symm :premises (@p442))
155.73/156.06	(step @p444 :rule refl :args (@t130))
155.73/156.06	(step @p445 :rule eq_resolve :premises (@p444 @p443))
155.73/156.06	(step @p446 :rule ho_cong :premises (@p439 @p32))
155.73/156.06	(step @p447 :rule ho_cong :premises (@p446 @p39))
155.73/156.06	(step @p448 :rule trans :premises (@p447 @p445))
155.73/156.06	(step @p449 :rule cong :premises (@p448) :args (@t131))
155.73/156.06	(step @p450 :rule refl :args (@t244))
155.73/156.06	(step @p451 :rule refl :args (@t132))
155.73/156.06	(step @p452 :rule cong :premises (@p451 @p450) :args ((= @t132 @t244)))
155.73/156.06	(step @p453 :rule symm :premises (@p452))
155.73/156.06	(step @p454 :rule eq_resolve :premises (@p451 @p453))
155.73/156.06	(step @p455 :rule refl :args ((tptp.cP_2 @t24 @t22)))
155.73/156.06	(step @p456 :rule cong :premises (@p71 @p70) :args (@t245))
155.73/156.06	(step @p457 :rule trans :premises (@p456 @p455))
155.73/156.06	(step @p458 :rule ho_cong :premises (@p439 @p71))
155.73/156.06	(step @p459 :rule ho_cong :premises (@p458 @p70))
155.73/156.06	(step @p460 :rule cong :premises (@p459 @p457) :args ((= (_ (_ tptp.cP_2 @t205) @t22) @t245)))
155.73/156.06	(step @p461 :rule symm :premises (@p460))
155.73/156.06	(step @p462 :rule refl :args (@t133))
155.73/156.06	(step @p463 :rule eq_resolve :premises (@p462 @p461))
155.73/156.06	(step @p464 :rule ho_cong :premises (@p439 @p83))
155.73/156.06	(step @p465 :rule ho_cong :premises (@p464 @p70))
155.73/156.06	(step @p466 :rule trans :premises (@p465 @p463))
155.73/156.06	(step @p467 :rule cong :premises (@p466) :args (@t134))
155.73/156.06	(step @p468 :rule refl :args ((tptp.cP_2 @t19 @t18)))
155.73/156.06	(step @p469 :rule cong :premises (@p52 @p51) :args (@t246))
155.73/156.06	(step @p470 :rule trans :premises (@p469 @p468))
155.73/156.06	(step @p471 :rule ho_cong :premises (@p439 @p52))
155.73/156.06	(step @p472 :rule ho_cong :premises (@p471 @p51))
155.73/156.06	(step @p473 :rule cong :premises (@p472 @p470) :args ((= (_ (_ tptp.cP_2 @t203) @t18) @t246)))
155.73/156.06	(step @p474 :rule symm :premises (@p473))
155.73/156.06	(step @p475 :rule refl :args (@t135))
155.73/156.06	(step @p476 :rule eq_resolve :premises (@p475 @p474))
155.73/156.06	(step @p477 :rule ho_cong :premises (@p439 @p64))
155.73/156.06	(step @p478 :rule ho_cong :premises (@p477 @p51))
155.73/156.06	(step @p479 :rule trans :premises (@p478 @p476))
155.73/156.06	(step @p480 :rule cong :premises (@p479) :args (@t136))
155.73/156.06	(step @p481 :rule nary_cong :premises (@p480 @p467 @p454 @p449 @p435) :args (@t137))
155.73/156.06	(step @p482 :rule cong :premises (@p481) :args (@t138))
155.73/156.06	(step @p483 :rule refl :args ((tptp.cP_2 @t9 @t6)))
155.73/156.06	(step @p484 :rule cong :premises (@p19 @p18) :args (@t247))
155.73/156.06	(step @p485 :rule trans :premises (@p484 @p483))
155.73/156.06	(step @p486 :rule ho_cong :premises (@p440 @p18))
155.73/156.06	(step @p487 :rule cong :premises (@p486 @p485) :args ((= (_ @t255 @t6) @t247)))
155.73/156.06	(step @p488 :rule symm :premises (@p487))
155.73/156.06	(step @p489 :rule refl :args (@t139))
155.73/156.06	(step @p490 :rule eq_resolve :premises (@p489 @p488))
155.73/156.06	(step @p491 :rule ho_cong :premises (@p446 @p18))
155.73/156.06	(step @p492 :rule trans :premises (@p491 @p490))
155.73/156.06	(step @p493 :rule refl :args (@t248))
155.73/156.06	(step @p494 :rule refl :args (@t140))
155.73/156.06	(step @p495 :rule cong :premises (@p494 @p493) :args ((= @t140 @t248)))
155.73/156.06	(step @p496 :rule symm :premises (@p495))
155.73/156.06	(step @p497 :rule eq_resolve :premises (@p494 @p496))
155.73/156.06	(step @p498 :rule cong :premises (@p497) :args (@t141))
155.73/156.06	(step @p499 :rule nary_cong :premises (@p498 @p492) :args (@t142))
155.73/156.06	(step @p500 :rule cong :premises (@p499) :args (@t143))
155.73/156.06	(step @p501 :rule refl :args (@t249))
155.73/156.06	(step @p502 :rule refl :args (@t144))
155.73/156.06	(step @p503 :rule cong :premises (@p502 @p501) :args ((= @t144 @t249)))
155.73/156.06	(step @p504 :rule symm :premises (@p503))
155.73/156.06	(step @p505 :rule eq_resolve :premises (@p502 @p504))
155.73/156.06	(step @p506 :rule cong :premises (@p505) :args (@t145))
155.73/156.06	(step @p507 :rule refl :args (@t146))
155.73/156.06	(step @p508 :rule refl :args (@t147))
155.73/156.06	(step @p509 :rule refl :args (@t148))
155.73/156.06	(step @p510 :rule refl :args (@t149))
155.73/156.06	(step @p511 :rule nary_cong :premises (@p510 @p509 @p508 @p507 @p506 @p500 @p482 @p429 @p428 @p427 @p426 @p425 @p419 @p369 @p368 @p367 @p349 @p296 @p289 @p283 @p282 @p281 @p280 @p230 @p209 @p203 @p202 @p181 @p180 @p130 @p109 @p103 @p102 @p101 @p100 @p37 @p10 @p4) :args (@t150))
155.73/156.06	(step @p512 :rule bool-double-not-elim :args (@t150))
155.73/156.06	(step @p513 :rule trans :premises (@p512 @p511))
155.73/156.06	(step @p514 :rule trans :premises (@p513 @p3))
155.73/156.06	(step @p515 :rule eq_resolve :premises (@p1 @p514))
155.73/156.06	(step @p516 :rule and_elim :premises (@p515) :args (34))
155.73/156.06	(step @p517 :rule and_elim :premises (@p515) :args (6))
155.73/156.06	(step @p518 :rule instantiate :premises (@p517) :args (@t256))
155.73/156.06	(step @p519 :rule and_elim :premises (@p515) :args (28))
155.73/156.06	(step @p520 :rule instantiate :premises (@p519) :args (@t256))
155.73/156.06	(step @p521 :rule and_elim :premises (@p515) :args (29))
155.73/156.06	(step @p522 :rule instantiate :premises (@p521) :args (@t257))
155.73/156.06	(step @p523 :rule and_elim :premises (@p515) :args (7))
155.73/156.06	(step @p524 :rule cnf_or_pos :args (@t261))
155.73/156.06	(step @p525 :rule reordering :premises (@p524) :args ((or @t258 @t260 (not @t261))))
155.73/156.06	(step @p526 :rule chain_resolution :premises (@p525 @p523 @p522) :args (@t262 (@list @t192 @t261)))
155.73/156.06	(step @p527 :rule and_elim :premises (@p515) :args (12))
155.73/156.06	(step @p528 :rule instantiate :premises (@p527) :args (@t256))
155.73/156.06	(step @p529 :rule and_elim :premises (@p515) :args (26))
155.73/156.06	(step @p530 :rule instantiate :premises (@p529) :args (@t257))
155.73/156.06	(step @p531 :rule and_elim :premises (@p515) :args (27))
155.73/156.06	(step @p532 :rule cnf_or_pos :args (@t265))
155.73/156.06	(step @p533 :rule reordering :premises (@p532) :args ((or @t263 @t264 (not @t265))))
155.73/156.06	(step @p534 :rule chain_resolution :premises (@p533 @p531 @p530) :args (@t262 (@list @t174 @t265)))
155.73/156.06	(step @p535 :rule and_elim :premises (@p515) :args (22))
155.73/156.06	(step @p536 :rule instantiate :premises (@p535) :args (@t256))
155.73/156.06	(step @p537 :rule and_elim :premises (@p515) :args (16))
155.73/156.06	(step @p538 :rule instantiate :premises (@p537) :args (@t256))
155.73/156.06	(step @p539 :rule and_elim :premises (@p515) :args (15))
155.73/156.06	(step @p540 :rule instantiate :premises (@p539) :args (@t257))
155.73/156.06	(step @p541 :rule and_elim :premises (@p515) :args (21))
155.73/156.06	(step @p542 :rule cnf_or_pos :args (@t268))
155.73/156.06	(step @p543 :rule reordering :premises (@p542) :args ((or @t266 @t267 (not @t268))))
155.73/156.06	(step @p544 :rule chain_resolution :premises (@p543 @p541 @p540) :args (@t262 (@list @t182 @t268)))
155.73/156.06	(step @p545 :rule instantiate :premises (@p539) :args (@t269))
155.73/156.06	(step @p546 :rule and_elim :premises (@p515) :args (19))
155.73/156.06	(step @p547 :rule cnf_or_pos :args (@t273))
155.73/156.06	(step @p548 :rule reordering :premises (@p547) :args ((or @t270 @t272 (not @t273))))
155.73/156.06	(step @p549 :rule chain_resolution :premises (@p548 @p546 @p545) :args (@t262 (@list @t184 @t273)))
155.73/156.06	(step @p550 :rule and_elim :premises (@p515) :args (17))
155.73/156.06	(step @p551 :rule instantiate :premises (@p550) :args ((@list tptp.a tptp.b tptp.c)))
155.73/156.06	(step @p552 :rule instantiate :premises (@p539) :args (@t274))
155.73/156.06	(step @p553 :rule and_elim :premises (@p515) :args (20))
155.73/156.06	(step @p554 :rule cnf_or_pos :args (@t278))
155.73/156.06	(step @p555 :rule reordering :premises (@p554) :args ((or @t275 @t277 (not @t278))))
155.73/156.06	(step @p556 :rule chain_resolution :premises (@p555 @p553 @p552) :args (@t262 (@list @t183 @t278)))
155.73/156.06	(step @p557 :rule cnf_or_pos :args (@t285))
155.73/156.06	(step @p558 :rule reordering :premises (@p557) :args ((or @t282 @t281 @t280 @t279 @t284 (not @t285))))
155.73/156.06	(step @p559 :rule chain_resolution :premises (@p558 @p556 @p551 @p549 @p544 @p538) :args ((@list false true false false false) (@list @t277 @t281 @t272 @t267 @t285)))
155.73/156.06	(step @p560 :rule and_elim :premises (@p515) :args (23))
155.73/156.06	(step @p561 :rule instantiate :premises (@p560) :args (@t257))
155.73/156.06	(step @p562 :rule and_elim :premises (@p515) :args (13))
155.73/156.06	(step @p563 :rule cnf_or_pos :args (@t288))
155.73/156.06	(step @p564 :rule reordering :premises (@p563) :args ((or @t286 @t287 (not @t288))))
155.73/156.06	(step @p565 :rule chain_resolution :premises (@p564 @p562 @p561) :args (@t262 (@list @t188 @t288)))
155.73/156.06	(step @p566 :rule instantiate :premises (@p560) :args (@t269))
155.73/156.06	(step @p567 :rule and_elim :premises (@p515) :args (25))
155.73/156.06	(step @p568 :rule cnf_or_pos :args (@t291))
155.73/156.06	(step @p569 :rule reordering :premises (@p568) :args ((or @t289 @t290 (not @t291))))
155.73/156.06	(step @p570 :rule chain_resolution :premises (@p569 @p567 @p566) :args (@t262 (@list @t177 @t291)))
155.73/156.06	(step @p571 :rule instantiate :premises (@p560) :args (@t274))
155.73/156.06	(step @p572 :rule and_elim :premises (@p515) :args (14))
155.73/156.06	(step @p573 :rule cnf_or_pos :args (@t294))
155.73/156.06	(step @p574 :rule reordering :premises (@p573) :args ((or @t292 @t293 (not @t294))))
155.73/156.06	(step @p575 :rule chain_resolution :premises (@p574 @p572 @p571) :args (@t262 (@list @t187 @t294)))
155.73/156.06	(step @p576 :rule cnf_or_pos :args (@t300))
155.73/156.06	(step @p577 :rule reordering :premises (@p576) :args ((or @t296 @t297 @t299 @t295 @t283 (not @t300))))
155.73/156.06	(step @p578 :rule chain_resolution :premises (@p577 @p575 @p570 @p565 @p559 @p536) :args (@t301 (@list @t293 @t290 @t287 @t283 @t300)))
155.73/156.06	(step @p579 :rule instantiate :premises (@p529) :args (@t269))
155.73/156.06	(step @p580 :rule and_elim :premises (@p515) :args (10))
155.73/156.06	(step @p581 :rule cnf_or_pos :args (@t304))
155.73/156.06	(step @p582 :rule reordering :premises (@p581) :args ((or @t302 @t303 (not @t304))))
155.73/156.06	(step @p583 :rule chain_resolution :premises (@p582 @p580 @p579) :args (@t262 (@list @t189 @t304)))
155.73/156.06	(step @p584 :rule instantiate :premises (@p529) :args (@t274))
155.73/156.06	(step @p585 :rule and_elim :premises (@p515) :args (9))
155.73/156.06	(step @p586 :rule cnf_or_pos :args (@t307))
155.73/156.06	(step @p587 :rule reordering :premises (@p586) :args ((or @t305 @t306 (not @t307))))
155.73/156.06	(step @p588 :rule chain_resolution :premises (@p587 @p585 @p584) :args (@t262 (@list @t190 @t307)))
155.73/156.06	(step @p589 :rule cnf_or_pos :args (@t313))
155.73/156.06	(step @p590 :rule reordering :premises (@p589) :args ((or @t308 @t309 @t298 @t312 @t310 (not @t313))))
155.73/156.06	(step @p591 :rule chain_resolution :premises (@p590 @p588 @p583 @p578 @p534 @p528) :args (@t314 (@list @t306 @t303 @t298 @t264 @t313)))
155.73/156.06	(step @p592 :rule instantiate :premises (@p521) :args (@t269))
155.73/156.06	(step @p593 :rule and_elim :premises (@p515) :args (31))
155.73/156.06	(step @p594 :rule cnf_or_pos :args (@t317))
155.73/156.06	(step @p595 :rule reordering :premises (@p594) :args ((or @t315 @t316 (not @t317))))
155.73/156.06	(step @p596 :rule chain_resolution :premises (@p595 @p593 @p592) :args (@t262 (@list @t169 @t317)))
155.73/156.06	(step @p597 :rule instantiate :premises (@p521) :args (@t274))
155.73/156.06	(step @p598 :rule and_elim :premises (@p515) :args (8))
155.73/156.06	(step @p599 :rule cnf_or_pos :args (@t320))
155.73/156.06	(step @p600 :rule reordering :premises (@p599) :args ((or @t318 @t319 (not @t320))))
155.73/156.06	(step @p601 :rule chain_resolution :premises (@p600 @p598 @p597) :args (@t262 (@list @t191 @t320)))
155.73/156.06	(step @p602 :rule cnf_or_pos :args (@t326))
155.73/156.06	(step @p603 :rule reordering :premises (@p602) :args ((or @t323 @t324 @t311 @t325 @t322 (not @t326))))
155.73/156.06	(step @p604 :rule chain_resolution :premises (@p603 @p601 @p596 @p591 @p526 @p520) :args (@t314 (@list @t319 @t316 @t311 @t260 @t326)))
155.73/156.06	(step @p605 :rule and_elim :premises (@p515) :args (5))
155.73/156.06	(step @p606 :rule instantiate :premises (@p605) :args (@t257))
155.73/156.06	(step @p607 :rule and_elim :premises (@p515) :args (33))
155.73/156.06	(step @p608 :rule cnf_or_pos :args (@t329))
155.73/156.06	(step @p609 :rule reordering :premises (@p608) :args ((or @t328 @t327 (not @t329))))
155.73/156.06	(step @p610 :rule chain_resolution :premises (@p609 @p607 @p606) :args (@t262 (@list @t166 @t329)))
155.73/156.06	(step @p611 :rule instantiate :premises (@p605) :args (@t269))
155.73/156.06	(step @p612 :rule and_elim :premises (@p515) :args (32))
155.73/156.06	(step @p613 :rule cnf_or_pos :args (@t332))
155.73/156.06	(step @p614 :rule reordering :premises (@p613) :args ((or @t331 @t330 (not @t332))))
155.73/156.06	(step @p615 :rule chain_resolution :premises (@p614 @p612 @p611) :args (@t262 (@list @t167 @t332)))
155.73/156.06	(step @p616 :rule instantiate :premises (@p605) :args (@t274))
155.73/156.06	(step @p617 :rule and_elim :premises (@p515) :args (3))
155.73/156.06	(step @p618 :rule cnf_or_pos :args (@t335))
155.73/156.06	(step @p619 :rule reordering :premises (@p618) :args ((or @t334 @t333 (not @t335))))
155.73/156.06	(step @p620 :rule chain_resolution :premises (@p619 @p617 @p616) :args (@t262 (@list @t194 @t335)))
155.73/156.06	(step @p621 :rule cnf_or_pos :args (@t341))
155.73/156.06	(step @p622 :rule reordering :premises (@p621) :args ((or @t340 @t339 @t338 @t337 @t321 (not @t341))))
155.73/156.06	(step @p623 :rule chain_resolution :premises (@p622 @p620 @p615 @p610 @p604 @p518) :args (@t301 (@list @t333 @t330 @t327 @t321 @t341)))
155.73/156.06	(step @p624 :rule and_elim :premises (@p515) :args (35))
155.73/156.06	(step @p625 :rule instantiate :premises (@p624) :args (@t257))
155.73/156.06	(step @p626 :rule and_elim :premises (@p515) :args (0))
155.73/156.06	(step @p627 :rule cnf_or_pos :args (@t344))
155.73/156.06	(step @p628 :rule reordering :premises (@p627) :args ((or @t342 @t343 (not @t344))))
155.73/156.06	(step @p629 :rule chain_resolution :premises (@p628 @p626 @p625) :args (@t262 (@list @t197 @t344)))
155.73/156.06	(step @p630 :rule instantiate :premises (@p624) :args (@t269))
155.73/156.06	(step @p631 :rule and_elim :premises (@p515) :args (2))
155.73/156.06	(step @p632 :rule cnf_or_pos :args (@t347))
155.73/156.06	(step @p633 :rule reordering :premises (@p632) :args ((or @t345 @t346 (not @t347))))
155.73/156.06	(step @p634 :rule chain_resolution :premises (@p633 @p631 @p630) :args (@t262 (@list @t195 @t347)))
155.73/156.06	(step @p635 :rule instantiate :premises (@p624) :args (@t274))
155.73/156.06	(step @p636 :rule and_elim :premises (@p515) :args (1))
155.73/156.06	(step @p637 :rule cnf_or_pos :args (@t350))
155.73/156.06	(step @p638 :rule reordering :premises (@p637) :args ((or @t348 @t349 (not @t350))))
155.73/156.06	(step @p639 :rule chain_resolution :premises (@p638 @p636 @p635) :args (@t262 (@list @t196 @t350)))
155.73/156.06	(step @p640 :rule and_elim :premises (@p515) :args (37))
155.73/156.06	(step @p641 :rule cnf_or_pos :args (@t355))
155.73/156.06	(step @p642 :rule reordering :premises (@p641) :args ((or @t354 @t352 @t353 @t351 @t336 (not @t355))))
155.73/156.06	(step @p643 :rule chain_resolution :premises (@p642 @p640 @p639 @p634 @p629 @p623) :args ((@list false false false false true) (@list @t155 @t349 @t346 @t343 @t336)))
155.73/156.06	(assume-push @p650 @t164)
155.73/156.06	(step @p645 :rule instantiate :premises (@p516) :args (@t256))
155.73/156.06	(step-pop @p650 :rule scope :premises (@p645))
155.73/156.06	(step @p646 :rule process_scope :premises (@p650) :args (@t355))
155.73/156.06	(step @p648 :rule implies_elim :premises (@p646))
155.73/156.06	(step @p649 false :rule chain_resolution :premises (@p648 @p643 @p516) :args ((@list true false) (@list @t355 @t164)))
155.73/156.06	)
155.73/156.06	% SZS output end Proof
155.73/156.06	% cvc5 exiting
155.73/156.07	EOF