0.06/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.13	% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.12/0.33	% Computer : n029.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
0.12/0.34	% CPULimit : 1920
0.12/0.34	% WCLimit  : 240
0.12/0.34	% DateTime : Sat Sep  6 02:32:37 EDT 2025
0.12/0.34	% CPUTime  : 
0.18/0.48	%----Proving TH0
155.18/155.39	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
155.18/155.39	--- 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...
155.18/155.39	--- 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...
155.18/155.39	--- Run --ho-elim --full-saturate-quant at 14s...
155.18/155.39	--- Run --ho-elim --no-e-matching --full-saturate-quant at 9s...
155.18/155.39	--- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 9s...
155.18/155.39	--- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 7s...
155.18/155.39	% SZS status Theorem
155.18/155.39	% SZS output start Proof
155.18/155.39	(
155.18/155.39	(declare-type $$unsorted ())
155.18/155.39	(declare-const tptp.cQ_5 (-> $$unsorted $$unsorted $$unsorted Bool))
155.18/155.39	(declare-const tptp.c $$unsorted)
155.18/155.39	(declare-const tptp.b $$unsorted)
155.18/155.39	(declare-const tptp.a $$unsorted)
155.18/155.39	(declare-const tptp.cQ_1 (-> $$unsorted $$unsorted $$unsorted Bool))
155.18/155.39	(declare-const tptp.f (-> $$unsorted $$unsorted))
155.18/155.39	(declare-const tptp.cP_1 (-> $$unsorted $$unsorted Bool))
155.18/155.39	(declare-const tptp.d $$unsorted)
155.18/155.39	(declare-const tptp.cQ_2 (-> $$unsorted $$unsorted $$unsorted Bool))
155.18/155.39	(declare-const tptp.cP_2 (-> $$unsorted $$unsorted Bool))
155.18/155.39	(declare-const tptp.cQ_3 (-> $$unsorted $$unsorted $$unsorted Bool))
155.18/155.39	(declare-const tptp.cP_3 (-> $$unsorted $$unsorted Bool))
155.18/155.39	(declare-const tptp.cQ_4 (-> $$unsorted $$unsorted $$unsorted Bool))
155.18/155.39	(declare-const tptp.cP_4 (-> $$unsorted $$unsorted Bool))
155.18/155.39	(define @t1 () (_ (_ (_ tptp.cQ_1 tptp.a) tptp.b) tptp.c))
155.18/155.39	(define @t2 () (_ (_ tptp.cP_1 tptp.a) tptp.a))
155.18/155.39	(define @t3 () (_ (_ tptp.cP_1 tptp.c) tptp.c))
155.18/155.39	(define @t4 () (@var "Xx" $$unsorted))
155.18/155.39	(define @t5 () (_ (_ tptp.cP_1 tptp.d) @t4))
155.18/155.39	(define @t6 () (@list @t4))
155.18/155.39	(define @t7 () (forall @t6 @t5))
155.18/155.39	(define @t8 () (@var "Xz" $$unsorted))
155.18/155.39	(define @t9 () (@var "Xy" $$unsorted))
155.18/155.39	(define @t10 () (_ (_ (_ tptp.cQ_1 @t4) @t9) @t8))
155.18/155.39	(define @t11 () (not @t10))
155.18/155.39	(define @t12 () (@var "Xu" $$unsorted))
155.18/155.39	(define @t13 () (_ tptp.f @t4))
155.18/155.39	(define @t14 () (_ tptp.cP_1 @t13))
155.18/155.39	(define @t15 () (_ @t14 @t12))
155.18/155.39	(define @t16 () (not @t15))
155.18/155.39	(define @t17 () (@var "Xv" $$unsorted))
155.18/155.39	(define @t18 () (_ tptp.f @t9))
155.18/155.39	(define @t19 () (_ (_ tptp.cP_1 @t18) @t17))
155.18/155.39	(define @t20 () (not @t19))
155.18/155.39	(define @t21 () (@var "Xw" $$unsorted))
155.18/155.39	(define @t22 () (_ (_ (_ tptp.cQ_2 @t12) @t17) @t21))
155.18/155.39	(define @t23 () (_ tptp.f @t8))
155.18/155.39	(define @t24 () (_ (_ tptp.cP_1 @t23) @t21))
155.18/155.39	(define @t25 () (not @t24))
155.18/155.39	(define @t26 () (or @t25 @t22 @t20 @t16 @t11))
155.18/155.39	(define @t27 () (@list @t4 @t9 @t8 @t12 @t17 @t21))
155.18/155.39	(define @t28 () (forall @t27 @t26))
155.18/155.39	(define @t29 () (_ (_ tptp.cP_2 tptp.a) tptp.a))
155.18/155.39	(define @t30 () (_ (_ tptp.cP_2 @t4) @t9))
155.18/155.39	(define @t31 () (not @t30))
155.18/155.39	(define @t32 () (_ tptp.cP_2 @t13))
155.18/155.39	(define @t33 () (_ @t32 @t9))
155.18/155.39	(define @t34 () (or @t33 @t31))
155.18/155.39	(define @t35 () (@list @t4 @t9))
155.18/155.39	(define @t36 () (forall @t35 @t34))
155.18/155.39	(define @t37 () (_ (_ tptp.cP_2 @t18) @t17))
155.18/155.39	(define @t38 () (not @t37))
155.18/155.39	(define @t39 () (_ (_ (_ tptp.cQ_3 @t12) @t17) @t21))
155.18/155.39	(define @t40 () (_ (_ tptp.cP_2 @t23) @t21))
155.18/155.39	(define @t41 () (not @t40))
155.18/155.39	(define @t42 () (_ @t32 @t12))
155.18/155.39	(define @t43 () (not @t42))
155.18/155.39	(define @t44 () (_ (_ (_ tptp.cQ_2 @t4) @t9) @t8))
155.18/155.39	(define @t45 () (not @t44))
155.18/155.39	(define @t46 () (or @t45 @t43 @t41 @t39 @t38))
155.18/155.39	(define @t47 () (forall @t27 @t46))
155.18/155.39	(define @t48 () (_ (_ tptp.cP_3 tptp.a) tptp.a))
155.18/155.39	(define @t49 () (_ (_ tptp.cP_3 tptp.c) tptp.c))
155.18/155.39	(define @t50 () (_ (_ tptp.cP_3 tptp.d) @t4))
155.18/155.39	(define @t51 () (forall @t6 @t50))
155.18/155.39	(define @t52 () (_ (_ (_ tptp.cQ_4 @t12) @t17) @t21))
155.18/155.39	(define @t53 () (_ (_ tptp.cP_3 @t23) @t21))
155.18/155.39	(define @t54 () (not @t53))
155.18/155.39	(define @t55 () (_ (_ tptp.cP_3 @t18) @t17))
155.18/155.39	(define @t56 () (not @t55))
155.18/155.39	(define @t57 () (_ tptp.cP_3 @t13))
155.18/155.39	(define @t58 () (_ @t57 @t12))
155.18/155.39	(define @t59 () (not @t58))
155.18/155.39	(define @t60 () (_ (_ (_ tptp.cQ_3 @t4) @t9) @t8))
155.18/155.39	(define @t61 () (not @t60))
155.18/155.39	(define @t62 () (or @t61 @t59 @t56 @t54 @t52))
155.18/155.39	(define @t63 () (forall @t27 @t62))
155.18/155.39	(define @t64 () (_ (_ tptp.cP_4 tptp.b) tptp.b))
155.18/155.39	(define @t65 () (_ (_ tptp.cP_4 tptp.c) tptp.c))
155.18/155.39	(define @t66 () (_ (_ tptp.cP_4 tptp.d) @t4))
155.18/155.39	(define @t67 () (forall @t6 @t66))
155.18/155.39	(define @t68 () (_ (_ (_ tptp.cQ_5 @t4) @t9) @t8))
155.18/155.39	(define @t69 () (not @t68))
155.18/155.39	(define @t70 () (@list @t4 @t9 @t8))
155.18/155.39	(define @t71 () (forall @t70 @t69))
155.18/155.39	(define @t72 () (_ tptp.cP_4 @t13))
155.18/155.39	(define @t73 () (_ @t72 @t12))
155.18/155.39	(define @t74 () (not @t73))
155.18/155.39	(define @t75 () (_ (_ tptp.cP_4 @t23) @t21))
155.18/155.39	(define @t76 () (not @t75))
155.18/155.39	(define @t77 () (_ (_ (_ tptp.cQ_5 @t12) @t17) @t21))
155.18/155.39	(define @t78 () (_ (_ tptp.cP_4 @t18) @t17))
155.18/155.39	(define @t79 () (not @t78))
155.18/155.39	(define @t80 () (_ (_ (_ tptp.cQ_4 @t4) @t9) @t8))
155.18/155.39	(define @t81 () (not @t80))
155.18/155.39	(define @t82 () (or @t81 @t79 @t77 @t76 @t74))
155.18/155.39	(define @t83 () (forall @t27 @t82))
155.18/155.39	(define @t84 () (_ @t72 @t9))
155.18/155.39	(define @t85 () (_ (_ tptp.cP_4 @t4) @t9))
155.18/155.39	(define @t86 () (not @t85))
155.18/155.39	(define @t87 () (or @t86 @t84))
155.18/155.39	(define @t88 () (forall @t35 @t87))
155.18/155.39	(define @t89 () (_ (_ tptp.cP_4 tptp.a) tptp.a))
155.18/155.39	(define @t90 () (_ @t57 @t9))
155.18/155.39	(define @t91 () (_ (_ tptp.cP_3 @t4) @t9))
155.18/155.39	(define @t92 () (not @t91))
155.18/155.39	(define @t93 () (or @t92 @t90))
155.18/155.39	(define @t94 () (forall @t35 @t93))
155.18/155.39	(define @t95 () (_ (_ tptp.cP_3 tptp.b) tptp.b))
155.18/155.39	(define @t96 () (_ (_ tptp.cP_2 tptp.d) @t4))
155.18/155.39	(define @t97 () (forall @t6 @t96))
155.18/155.39	(define @t98 () (_ (_ tptp.cP_2 tptp.c) tptp.c))
155.18/155.39	(define @t99 () (_ (_ tptp.cP_2 tptp.b) tptp.b))
155.18/155.39	(define @t100 () (_ @t14 @t9))
155.18/155.39	(define @t101 () (_ (_ tptp.cP_1 @t4) @t9))
155.18/155.39	(define @t102 () (not @t101))
155.18/155.39	(define @t103 () (or @t102 @t100))
155.18/155.39	(define @t104 () (forall @t35 @t103))
155.18/155.39	(define @t105 () (_ (_ tptp.cP_1 tptp.b) tptp.b))
155.18/155.39	(define @t106 () (and @t105 @t104 @t99 @t98 @t97 @t95 @t94 @t89 @t88 @t83 @t71 @t67 @t65 @t64 @t63 @t51 @t49 @t48 @t47 @t36 @t29 @t28 @t7 @t3 @t2 @t1))
155.18/155.39	(define @t107 () (@const 0 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool))))
155.18/155.39	(define @t108 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted Bool)))))
155.18/155.39	(define @t109 () (@const 2 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool)))))
155.18/155.39	(define @t110 () (@const 3 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool)))
155.18/155.39	(define @t111 () (_ @t110 (_ @t109 (_ @t108 @t107 tptp.a) tptp.b) tptp.c))
155.18/155.39	(define @t112 () (@const 4 (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
155.18/155.39	(define @t113 () (_ @t110 (_ @t109 @t112 tptp.a) tptp.a))
155.18/155.39	(define @t114 () (_ @t110 (_ @t109 @t112 tptp.c) tptp.c))
155.18/155.39	(define @t115 () (@const 5 (@ho-elim-sort (-> $$unsorted $$unsorted))))
155.18/155.39	(define @t116 () (@const 6 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted)))
155.18/155.39	(define @t117 () (_ @t116 @t115 @t4))
155.18/155.39	(define @t118 () (_ @t109 @t112 @t117))
155.18/155.39	(define @t119 () (_ @t116 @t115 @t9))
155.18/155.39	(define @t120 () (@const 7 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool))))
155.18/155.39	(define @t121 () (_ @t116 @t115 @t8))
155.18/155.39	(define @t122 () (forall @t27 (or (not (_ @t110 (_ @t109 @t112 @t121) @t21)) (_ @t110 (_ @t109 (_ @t108 @t120 @t12) @t17) @t21) (not (_ @t110 (_ @t109 @t112 @t119) @t17)) (not (_ @t110 @t118 @t12)) (not (_ @t110 (_ @t109 (_ @t108 @t107 @t4) @t9) @t8)))))
155.18/155.39	(define @t123 () (@const 8 (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
155.18/155.39	(define @t124 () (_ @t110 (_ @t109 @t123 tptp.a) tptp.a))
155.18/155.39	(define @t125 () (_ @t109 @t123 @t117))
155.18/155.39	(define @t126 () (@const 9 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool))))
155.18/155.39	(define @t127 () (@const 10 (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
155.18/155.39	(define @t128 () (_ @t110 (_ @t109 @t127 tptp.a) tptp.a))
155.18/155.39	(define @t129 () (_ @t110 (_ @t109 @t127 tptp.c) tptp.c))
155.18/155.39	(define @t130 () (@const 11 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool))))
155.18/155.39	(define @t131 () (_ @t109 @t127 @t117))
155.18/155.39	(define @t132 () (@const 12 (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
155.18/155.39	(define @t133 () (_ @t110 (_ @t109 @t132 tptp.b) tptp.b))
155.18/155.39	(define @t134 () (_ @t110 (_ @t109 @t132 tptp.c) tptp.c))
155.18/155.39	(define @t135 () (@const 13 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted Bool))))
155.18/155.39	(define @t136 () (_ @t109 @t132 @t117))
155.18/155.39	(define @t137 () (_ @t110 (_ @t109 @t132 tptp.a) tptp.a))
155.18/155.39	(define @t138 () (_ @t110 (_ @t109 @t127 tptp.b) tptp.b))
155.18/155.39	(define @t139 () (_ @t110 (_ @t109 @t123 tptp.c) tptp.c))
155.18/155.39	(define @t140 () (_ @t110 (_ @t109 @t123 tptp.b) tptp.b))
155.18/155.39	(define @t141 () (_ @t110 (_ @t109 @t112 tptp.b) tptp.b))
155.18/155.39	(define @t142 () (tptp.cP_1 tptp.d @t4))
155.18/155.39	(define @t143 () (tptp.cQ_1 @t4 @t9 @t8))
155.18/155.39	(define @t144 () (tptp.f @t4))
155.18/155.39	(define @t145 () (tptp.cP_1 @t144 @t12))
155.18/155.39	(define @t146 () (tptp.f @t9))
155.18/155.39	(define @t147 () (tptp.cP_1 @t146 @t17))
155.18/155.39	(define @t148 () (tptp.cQ_2 @t12 @t17 @t21))
155.18/155.39	(define @t149 () (tptp.f @t8))
155.18/155.39	(define @t150 () (tptp.cP_1 @t149 @t21))
155.18/155.39	(define @t151 () (tptp.cP_2 @t4 @t9))
155.18/155.39	(define @t152 () (tptp.cP_2 @t144 @t9))
155.18/155.39	(define @t153 () (tptp.cP_2 @t146 @t17))
155.18/155.39	(define @t154 () (tptp.cQ_3 @t12 @t17 @t21))
155.18/155.39	(define @t155 () (tptp.cP_2 @t149 @t21))
155.18/155.39	(define @t156 () (tptp.cP_2 @t144 @t12))
155.18/155.39	(define @t157 () (tptp.cQ_2 @t4 @t9 @t8))
155.18/155.39	(define @t158 () (tptp.cP_3 tptp.d @t4))
155.18/155.39	(define @t159 () (tptp.cQ_4 @t12 @t17 @t21))
155.18/155.39	(define @t160 () (tptp.cP_3 @t149 @t21))
155.18/155.39	(define @t161 () (tptp.cP_3 @t146 @t17))
155.18/155.39	(define @t162 () (tptp.cP_3 @t144 @t12))
155.18/155.39	(define @t163 () (tptp.cQ_3 @t4 @t9 @t8))
155.18/155.39	(define @t164 () (tptp.cP_4 tptp.d @t4))
155.18/155.39	(define @t165 () (tptp.cQ_5 @t4 @t9 @t8))
155.18/155.39	(define @t166 () (tptp.cP_4 @t144 @t12))
155.18/155.39	(define @t167 () (tptp.cP_4 @t149 @t21))
155.18/155.39	(define @t168 () (tptp.cQ_5 @t12 @t17 @t21))
155.18/155.39	(define @t169 () (tptp.cP_4 @t146 @t17))
155.18/155.39	(define @t170 () (tptp.cQ_4 @t4 @t9 @t8))
155.18/155.39	(define @t171 () (tptp.cP_4 @t144 @t9))
155.18/155.39	(define @t172 () (tptp.cP_4 @t4 @t9))
155.18/155.39	(define @t173 () (tptp.cP_3 @t144 @t9))
155.18/155.39	(define @t174 () (tptp.cP_3 @t4 @t9))
155.18/155.39	(define @t175 () (tptp.cP_2 tptp.d @t4))
155.18/155.39	(define @t176 () (tptp.cP_1 @t144 @t9))
155.18/155.39	(define @t177 () (tptp.cP_1 @t4 @t9))
155.18/155.39	(define @t178 () (_ tptp.cP_1 @t144))
155.18/155.39	(define @t179 () (_ tptp.cP_2 @t144))
155.18/155.39	(define @t180 () (_ tptp.cP_3 @t144))
155.18/155.39	(define @t181 () (_ tptp.cP_4 @t144))
155.18/155.39	(define @t182 () (@list tptp.a tptp.b tptp.c tptp.a tptp.b tptp.c))
155.18/155.39	(define @t183 () (@list tptp.b tptp.b))
155.18/155.39	(define @t184 () (_ @t116 @t115 tptp.b))
155.18/155.39	(define @t185 () (_ @t110 (_ @t109 @t132 @t184) tptp.b))
155.18/155.39	(define @t186 () (not @t133))
155.18/155.39	(define @t187 () (or @t186 @t185))
155.18/155.39	(define @t188 () (@list false false))
155.18/155.39	(define @t189 () (@list tptp.a tptp.a))
155.18/155.39	(define @t190 () (_ @t116 @t115 tptp.a))
155.18/155.39	(define @t191 () (_ @t110 (_ @t109 @t132 @t190) tptp.a))
155.18/155.39	(define @t192 () (not @t137))
155.18/155.39	(define @t193 () (or @t192 @t191))
155.18/155.39	(define @t194 () (@list tptp.c tptp.c))
155.18/155.39	(define @t195 () (_ @t116 @t115 tptp.c))
155.18/155.39	(define @t196 () (_ @t110 (_ @t109 @t132 @t195) tptp.c))
155.18/155.39	(define @t197 () (not @t134))
155.18/155.39	(define @t198 () (or @t197 @t196))
155.18/155.39	(define @t199 () (not @t191))
155.18/155.39	(define @t200 () (not @t196))
155.18/155.39	(define @t201 () (_ @t110 (_ @t109 (_ @t108 @t135 tptp.a) tptp.b) tptp.c))
155.18/155.39	(define @t202 () (not @t185))
155.18/155.39	(define @t203 () (_ @t110 (_ @t109 (_ @t108 @t130 tptp.a) tptp.b) tptp.c))
155.18/155.39	(define @t204 () (not @t203))
155.18/155.39	(define @t205 () (or @t204 @t202 @t201 @t200 @t199))
155.18/155.39	(define @t206 () (@list false false false true false))
155.18/155.39	(define @t207 () (_ @t110 (_ @t109 @t127 @t184) tptp.b))
155.18/155.39	(define @t208 () (not @t138))
155.18/155.39	(define @t209 () (or @t208 @t207))
155.18/155.39	(define @t210 () (_ @t110 (_ @t109 @t127 @t190) tptp.a))
155.18/155.39	(define @t211 () (not @t128))
155.18/155.39	(define @t212 () (or @t211 @t210))
155.18/155.39	(define @t213 () (_ @t110 (_ @t109 @t127 @t195) tptp.c))
155.18/155.39	(define @t214 () (not @t129))
155.18/155.39	(define @t215 () (or @t214 @t213))
155.18/155.39	(define @t216 () (not @t213))
155.18/155.39	(define @t217 () (not @t207))
155.18/155.39	(define @t218 () (not @t210))
155.18/155.39	(define @t219 () (_ @t110 (_ @t109 (_ @t108 @t126 tptp.a) tptp.b) tptp.c))
155.18/155.39	(define @t220 () (not @t219))
155.18/155.39	(define @t221 () (or @t220 @t218 @t217 @t216 @t203))
155.18/155.39	(define @t222 () (not @t140))
155.18/155.39	(define @t223 () (_ @t110 (_ @t109 @t123 @t184) tptp.b))
155.18/155.39	(define @t224 () (or @t223 @t222))
155.18/155.39	(define @t225 () (not @t124))
155.18/155.39	(define @t226 () (_ @t110 (_ @t109 @t123 @t190) tptp.a))
155.18/155.39	(define @t227 () (or @t226 @t225))
155.18/155.39	(define @t228 () (not @t139))
155.18/155.39	(define @t229 () (_ @t110 (_ @t109 @t123 @t195) tptp.c))
155.18/155.39	(define @t230 () (or @t229 @t228))
155.18/155.39	(define @t231 () (not @t223))
155.18/155.39	(define @t232 () (not @t229))
155.18/155.39	(define @t233 () (not @t226))
155.18/155.39	(define @t234 () (_ @t110 (_ @t109 (_ @t108 @t120 tptp.a) tptp.b) tptp.c))
155.18/155.39	(define @t235 () (not @t234))
155.18/155.39	(define @t236 () (or @t235 @t233 @t232 @t219 @t231))
155.18/155.39	(define @t237 () (_ @t110 (_ @t109 @t112 @t184) tptp.b))
155.18/155.39	(define @t238 () (not @t141))
155.18/155.39	(define @t239 () (or @t238 @t237))
155.18/155.39	(define @t240 () (_ @t110 (_ @t109 @t112 @t190) tptp.a))
155.18/155.39	(define @t241 () (not @t113))
155.18/155.39	(define @t242 () (or @t241 @t240))
155.18/155.39	(define @t243 () (_ @t110 (_ @t109 @t112 @t195) tptp.c))
155.18/155.39	(define @t244 () (not @t114))
155.18/155.39	(define @t245 () (or @t244 @t243))
155.18/155.39	(define @t246 () (not @t111))
155.18/155.39	(define @t247 () (not @t240))
155.18/155.39	(define @t248 () (not @t237))
155.18/155.39	(define @t249 () (not @t243))
155.18/155.39	(define @t250 () (or @t249 @t234 @t248 @t247 @t246))
155.18/155.39	(assume @p1 (not (not @t106)))
155.18/155.39	(assume @p2 true)
155.18/155.39	; WARNING: add trust step for TRUST
155.18/155.39	; trust TRUST PREPROCESS_HO_ELIM
155.18/155.39	(step @p3 :rule trust :premises () :args ((= (and @t105 (forall @t35 (or (not @t177) @t176)) @t99 @t98 (forall @t6 @t175) @t95 (forall @t35 (or (not @t174) @t173)) @t89 (forall @t35 (or (not @t172) @t171)) (forall @t27 (or (not @t170) (not @t169) @t168 (not @t167) (not @t166))) (forall @t70 (not @t165)) (forall @t6 @t164) @t65 @t64 (forall @t27 (or (not @t163) (not @t162) (not @t161) (not @t160) @t159)) (forall @t6 @t158) @t49 @t48 (forall @t27 (or (not @t157) (not @t156) (not @t155) @t154 (not @t153))) (forall @t35 (or @t152 (not @t151))) @t29 (forall @t27 (or (not @t150) @t148 (not @t147) (not @t145) (not @t143))) (forall @t6 @t142) @t3 @t2 @t1) (and @t141 (forall @t35 (or (not (_ @t110 (_ @t109 @t112 @t4) @t9)) (_ @t110 @t118 @t9))) @t140 @t139 (forall @t6 (_ @t110 (_ @t109 @t123 tptp.d) @t4)) @t138 (forall @t35 (or (not (_ @t110 (_ @t109 @t127 @t4) @t9)) (_ @t110 @t131 @t9))) @t137 (forall @t35 (or (not (_ @t110 (_ @t109 @t132 @t4) @t9)) (_ @t110 @t136 @t9))) (forall @t27 (or (not (_ @t110 (_ @t109 (_ @t108 @t130 @t4) @t9) @t8)) (not (_ @t110 (_ @t109 @t132 @t119) @t17)) (_ @t110 (_ @t109 (_ @t108 @t135 @t12) @t17) @t21) (not (_ @t110 (_ @t109 @t132 @t121) @t21)) (not (_ @t110 @t136 @t12)))) (forall @t70 (not (_ @t110 (_ @t109 (_ @t108 @t135 @t4) @t9) @t8))) (forall @t6 (_ @t110 (_ @t109 @t132 tptp.d) @t4)) @t134 @t133 (forall @t27 (or (not (_ @t110 (_ @t109 (_ @t108 @t126 @t4) @t9) @t8)) (not (_ @t110 @t131 @t12)) (not (_ @t110 (_ @t109 @t127 @t119) @t17)) (not (_ @t110 (_ @t109 @t127 @t121) @t21)) (_ @t110 (_ @t109 (_ @t108 @t130 @t12) @t17) @t21))) (forall @t6 (_ @t110 (_ @t109 @t127 tptp.d) @t4)) @t129 @t128 (forall @t27 (or (not (_ @t110 (_ @t109 (_ @t108 @t120 @t4) @t9) @t8)) (not (_ @t110 @t125 @t12)) (not (_ @t110 (_ @t109 @t123 @t121) @t21)) (_ @t110 (_ @t109 (_ @t108 @t126 @t12) @t17) @t21) (not (_ @t110 (_ @t109 @t123 @t119) @t17)))) (forall @t35 (or (_ @t110 @t125 @t9) (not (_ @t110 (_ @t109 @t123 @t4) @t9)))) @t124 @t122 (forall @t6 (_ @t110 (_ @t109 @t112 tptp.d) @t4)) @t114 @t113 @t111))))
155.18/155.39	(step @p4 :rule refl :args (@t1))
155.18/155.39	(step @p5 :rule refl :args (@t2))
155.18/155.39	(step @p6 :rule refl :args (@t3))
155.18/155.39	(step @p7 :rule refl :args (@t142))
155.18/155.39	(step @p8 :rule refl :args (@t5))
155.18/155.39	(step @p9 :rule cong :premises (@p8 @p7) :args ((= @t5 @t142)))
155.18/155.39	(step @p10 :rule symm :premises (@p9))
155.18/155.39	(step @p11 :rule eq_resolve :premises (@p8 @p10))
155.18/155.39	(step @p12 :rule cong :premises (@p11) :args (@t7))
155.18/155.39	(step @p13 :rule refl :args (@t143))
155.18/155.39	(step @p14 :rule refl :args (@t10))
155.18/155.39	(step @p15 :rule cong :premises (@p14 @p13) :args ((= @t10 @t143)))
155.18/155.39	(step @p16 :rule symm :premises (@p15))
155.18/155.39	(step @p17 :rule eq_resolve :premises (@p14 @p16))
155.18/155.39	(step @p18 :rule cong :premises (@p17) :args (@t11))
155.18/155.39	(step @p19 :rule refl :args ((tptp.cP_1 @t13 @t12)))
155.18/155.39	(step @p20 :rule refl :args (@t12))
155.18/155.39	(step @p21 :rule refl :args (@t144))
155.18/155.39	(step @p22 :rule cong :premises (@p21 @p20) :args (@t145))
155.18/155.39	(step @p23 :rule trans :premises (@p22 @p19))
155.18/155.39	(step @p24 :rule refl :args (tptp.cP_1))
155.18/155.39	(step @p25 :rule ho_cong :premises (@p24 @p21))
155.18/155.39	(step @p26 :rule ho_cong :premises (@p25 @p20))
155.18/155.39	(step @p27 :rule cong :premises (@p26 @p23) :args ((= (_ @t178 @t12) @t145)))
155.18/155.39	(step @p28 :rule symm :premises (@p27))
155.18/155.39	(step @p29 :rule refl :args (@t15))
155.18/155.39	(step @p30 :rule eq_resolve :premises (@p29 @p28))
155.18/155.39	(step @p31 :rule refl :args (@t13))
155.18/155.39	(step @p32 :rule cong :premises (@p31 @p21) :args ((= @t13 @t144)))
155.18/155.39	(step @p33 :rule symm :premises (@p32))
155.18/155.39	(step @p34 :rule eq_resolve :premises (@p31 @p33))
155.18/155.39	(step @p35 :rule ho_cong :premises (@p24 @p34))
155.18/155.39	(step @p36 :rule ho_cong :premises (@p35 @p20))
155.18/155.39	(step @p37 :rule trans :premises (@p36 @p30))
155.18/155.39	(step @p38 :rule cong :premises (@p37) :args (@t16))
155.18/155.39	(step @p39 :rule refl :args ((tptp.cP_1 @t18 @t17)))
155.18/155.39	(step @p40 :rule refl :args (@t17))
155.18/155.39	(step @p41 :rule refl :args (@t146))
155.18/155.39	(step @p42 :rule cong :premises (@p41 @p40) :args (@t147))
155.18/155.39	(step @p43 :rule trans :premises (@p42 @p39))
155.18/155.39	(step @p44 :rule ho_cong :premises (@p24 @p41))
155.18/155.39	(step @p45 :rule ho_cong :premises (@p44 @p40))
155.18/155.39	(step @p46 :rule cong :premises (@p45 @p43) :args ((= (_ (_ tptp.cP_1 @t146) @t17) @t147)))
155.18/155.39	(step @p47 :rule symm :premises (@p46))
155.18/155.39	(step @p48 :rule refl :args (@t19))
155.18/155.39	(step @p49 :rule eq_resolve :premises (@p48 @p47))
155.18/155.39	(step @p50 :rule refl :args (@t18))
155.18/155.39	(step @p51 :rule cong :premises (@p50 @p41) :args ((= @t18 @t146)))
155.18/155.39	(step @p52 :rule symm :premises (@p51))
155.18/155.39	(step @p53 :rule eq_resolve :premises (@p50 @p52))
155.18/155.39	(step @p54 :rule ho_cong :premises (@p24 @p53))
155.18/155.39	(step @p55 :rule ho_cong :premises (@p54 @p40))
155.18/155.39	(step @p56 :rule trans :premises (@p55 @p49))
155.18/155.39	(step @p57 :rule cong :premises (@p56) :args (@t20))
155.18/155.39	(step @p58 :rule refl :args (@t148))
155.18/155.39	(step @p59 :rule refl :args (@t22))
155.18/155.39	(step @p60 :rule cong :premises (@p59 @p58) :args ((= @t22 @t148)))
155.18/155.39	(step @p61 :rule symm :premises (@p60))
155.18/155.39	(step @p62 :rule eq_resolve :premises (@p59 @p61))
155.18/155.39	(step @p63 :rule refl :args ((tptp.cP_1 @t23 @t21)))
155.18/155.39	(step @p64 :rule refl :args (@t21))
155.18/155.39	(step @p65 :rule refl :args (@t149))
155.18/155.39	(step @p66 :rule cong :premises (@p65 @p64) :args (@t150))
155.18/155.39	(step @p67 :rule trans :premises (@p66 @p63))
155.18/155.39	(step @p68 :rule ho_cong :premises (@p24 @p65))
155.18/155.39	(step @p69 :rule ho_cong :premises (@p68 @p64))
155.18/155.39	(step @p70 :rule cong :premises (@p69 @p67) :args ((= (_ (_ tptp.cP_1 @t149) @t21) @t150)))
155.18/155.39	(step @p71 :rule symm :premises (@p70))
155.18/155.39	(step @p72 :rule refl :args (@t24))
155.18/155.39	(step @p73 :rule eq_resolve :premises (@p72 @p71))
155.18/155.39	(step @p74 :rule refl :args (@t23))
155.18/155.39	(step @p75 :rule cong :premises (@p74 @p65) :args ((= @t23 @t149)))
155.18/155.39	(step @p76 :rule symm :premises (@p75))
155.18/155.39	(step @p77 :rule eq_resolve :premises (@p74 @p76))
155.18/155.39	(step @p78 :rule ho_cong :premises (@p24 @p77))
155.18/155.39	(step @p79 :rule ho_cong :premises (@p78 @p64))
155.18/155.39	(step @p80 :rule trans :premises (@p79 @p73))
155.18/155.39	(step @p81 :rule cong :premises (@p80) :args (@t25))
155.18/155.39	(step @p82 :rule nary_cong :premises (@p81 @p62 @p57 @p38 @p18) :args (@t26))
155.18/155.39	(step @p83 :rule cong :premises (@p82) :args (@t28))
155.18/155.39	(step @p84 :rule refl :args (@t29))
155.18/155.39	(step @p85 :rule refl :args (@t151))
155.18/155.39	(step @p86 :rule refl :args (@t30))
155.18/155.39	(step @p87 :rule cong :premises (@p86 @p85) :args ((= @t30 @t151)))
155.18/155.39	(step @p88 :rule symm :premises (@p87))
155.18/155.39	(step @p89 :rule eq_resolve :premises (@p86 @p88))
155.18/155.39	(step @p90 :rule cong :premises (@p89) :args (@t31))
155.18/155.39	(step @p91 :rule refl :args ((tptp.cP_2 @t13 @t9)))
155.18/155.39	(step @p92 :rule refl :args (@t9))
155.18/155.39	(step @p93 :rule cong :premises (@p21 @p92) :args (@t152))
155.18/155.39	(step @p94 :rule trans :premises (@p93 @p91))
155.18/155.39	(step @p95 :rule refl :args (tptp.cP_2))
155.18/155.39	(step @p96 :rule ho_cong :premises (@p95 @p21))
155.18/155.39	(step @p97 :rule ho_cong :premises (@p96 @p92))
155.18/155.39	(step @p98 :rule cong :premises (@p97 @p94) :args ((= (_ @t179 @t9) @t152)))
155.18/155.39	(step @p99 :rule symm :premises (@p98))
155.18/155.39	(step @p100 :rule refl :args (@t33))
155.18/155.39	(step @p101 :rule eq_resolve :premises (@p100 @p99))
155.18/155.39	(step @p102 :rule ho_cong :premises (@p95 @p34))
155.18/155.39	(step @p103 :rule ho_cong :premises (@p102 @p92))
155.18/155.39	(step @p104 :rule trans :premises (@p103 @p101))
155.18/155.39	(step @p105 :rule nary_cong :premises (@p104 @p90) :args (@t34))
155.18/155.39	(step @p106 :rule cong :premises (@p105) :args (@t36))
155.18/155.39	(step @p107 :rule refl :args ((tptp.cP_2 @t18 @t17)))
155.18/155.39	(step @p108 :rule cong :premises (@p41 @p40) :args (@t153))
155.18/155.39	(step @p109 :rule trans :premises (@p108 @p107))
155.18/155.39	(step @p110 :rule ho_cong :premises (@p95 @p41))
155.18/155.39	(step @p111 :rule ho_cong :premises (@p110 @p40))
155.18/155.39	(step @p112 :rule cong :premises (@p111 @p109) :args ((= (_ (_ tptp.cP_2 @t146) @t17) @t153)))
155.18/155.39	(step @p113 :rule symm :premises (@p112))
155.18/155.39	(step @p114 :rule refl :args (@t37))
155.18/155.39	(step @p115 :rule eq_resolve :premises (@p114 @p113))
155.18/155.39	(step @p116 :rule ho_cong :premises (@p95 @p53))
155.18/155.39	(step @p117 :rule ho_cong :premises (@p116 @p40))
155.18/155.39	(step @p118 :rule trans :premises (@p117 @p115))
155.18/155.39	(step @p119 :rule cong :premises (@p118) :args (@t38))
155.18/155.39	(step @p120 :rule refl :args (@t154))
155.18/155.39	(step @p121 :rule refl :args (@t39))
155.18/155.39	(step @p122 :rule cong :premises (@p121 @p120) :args ((= @t39 @t154)))
155.18/155.39	(step @p123 :rule symm :premises (@p122))
155.18/155.39	(step @p124 :rule eq_resolve :premises (@p121 @p123))
155.18/155.39	(step @p125 :rule refl :args ((tptp.cP_2 @t23 @t21)))
155.18/155.39	(step @p126 :rule cong :premises (@p65 @p64) :args (@t155))
155.18/155.39	(step @p127 :rule trans :premises (@p126 @p125))
155.18/155.39	(step @p128 :rule ho_cong :premises (@p95 @p65))
155.18/155.39	(step @p129 :rule ho_cong :premises (@p128 @p64))
155.18/155.39	(step @p130 :rule cong :premises (@p129 @p127) :args ((= (_ (_ tptp.cP_2 @t149) @t21) @t155)))
155.18/155.39	(step @p131 :rule symm :premises (@p130))
155.18/155.39	(step @p132 :rule refl :args (@t40))
155.18/155.39	(step @p133 :rule eq_resolve :premises (@p132 @p131))
155.18/155.39	(step @p134 :rule ho_cong :premises (@p95 @p77))
155.18/155.39	(step @p135 :rule ho_cong :premises (@p134 @p64))
155.18/155.39	(step @p136 :rule trans :premises (@p135 @p133))
155.18/155.39	(step @p137 :rule cong :premises (@p136) :args (@t41))
155.18/155.39	(step @p138 :rule refl :args ((tptp.cP_2 @t13 @t12)))
155.18/155.39	(step @p139 :rule cong :premises (@p21 @p20) :args (@t156))
155.18/155.39	(step @p140 :rule trans :premises (@p139 @p138))
155.18/155.39	(step @p141 :rule ho_cong :premises (@p96 @p20))
155.18/155.39	(step @p142 :rule cong :premises (@p141 @p140) :args ((= (_ @t179 @t12) @t156)))
155.18/155.39	(step @p143 :rule symm :premises (@p142))
155.18/155.39	(step @p144 :rule refl :args (@t42))
155.18/155.39	(step @p145 :rule eq_resolve :premises (@p144 @p143))
155.18/155.39	(step @p146 :rule ho_cong :premises (@p102 @p20))
155.18/155.39	(step @p147 :rule trans :premises (@p146 @p145))
155.18/155.39	(step @p148 :rule cong :premises (@p147) :args (@t43))
155.18/155.39	(step @p149 :rule refl :args (@t157))
155.18/155.39	(step @p150 :rule refl :args (@t44))
155.18/155.39	(step @p151 :rule cong :premises (@p150 @p149) :args ((= @t44 @t157)))
155.18/155.39	(step @p152 :rule symm :premises (@p151))
155.18/155.39	(step @p153 :rule eq_resolve :premises (@p150 @p152))
155.18/155.39	(step @p154 :rule cong :premises (@p153) :args (@t45))
155.18/155.39	(step @p155 :rule nary_cong :premises (@p154 @p148 @p137 @p124 @p119) :args (@t46))
155.18/155.39	(step @p156 :rule cong :premises (@p155) :args (@t47))
155.18/155.39	(step @p157 :rule refl :args (@t48))
155.18/155.39	(step @p158 :rule refl :args (@t49))
155.18/155.39	(step @p159 :rule refl :args (@t158))
155.18/155.39	(step @p160 :rule refl :args (@t50))
155.18/155.39	(step @p161 :rule cong :premises (@p160 @p159) :args ((= @t50 @t158)))
155.18/155.39	(step @p162 :rule symm :premises (@p161))
155.18/155.39	(step @p163 :rule eq_resolve :premises (@p160 @p162))
155.18/155.39	(step @p164 :rule cong :premises (@p163) :args (@t51))
155.18/155.39	(step @p165 :rule refl :args (@t159))
155.18/155.39	(step @p166 :rule refl :args (@t52))
155.18/155.39	(step @p167 :rule cong :premises (@p166 @p165) :args ((= @t52 @t159)))
155.18/155.39	(step @p168 :rule symm :premises (@p167))
155.18/155.39	(step @p169 :rule eq_resolve :premises (@p166 @p168))
155.18/155.39	(step @p170 :rule refl :args ((tptp.cP_3 @t23 @t21)))
155.18/155.39	(step @p171 :rule cong :premises (@p65 @p64) :args (@t160))
155.18/155.39	(step @p172 :rule trans :premises (@p171 @p170))
155.18/155.39	(step @p173 :rule refl :args (tptp.cP_3))
155.18/155.39	(step @p174 :rule ho_cong :premises (@p173 @p65))
155.18/155.39	(step @p175 :rule ho_cong :premises (@p174 @p64))
155.18/155.39	(step @p176 :rule cong :premises (@p175 @p172) :args ((= (_ (_ tptp.cP_3 @t149) @t21) @t160)))
155.18/155.39	(step @p177 :rule symm :premises (@p176))
155.18/155.39	(step @p178 :rule refl :args (@t53))
155.18/155.39	(step @p179 :rule eq_resolve :premises (@p178 @p177))
155.18/155.39	(step @p180 :rule ho_cong :premises (@p173 @p77))
155.18/155.39	(step @p181 :rule ho_cong :premises (@p180 @p64))
155.18/155.39	(step @p182 :rule trans :premises (@p181 @p179))
155.18/155.39	(step @p183 :rule cong :premises (@p182) :args (@t54))
155.18/155.39	(step @p184 :rule refl :args ((tptp.cP_3 @t18 @t17)))
155.18/155.39	(step @p185 :rule cong :premises (@p41 @p40) :args (@t161))
155.18/155.39	(step @p186 :rule trans :premises (@p185 @p184))
155.18/155.39	(step @p187 :rule ho_cong :premises (@p173 @p41))
155.18/155.39	(step @p188 :rule ho_cong :premises (@p187 @p40))
155.18/155.39	(step @p189 :rule cong :premises (@p188 @p186) :args ((= (_ (_ tptp.cP_3 @t146) @t17) @t161)))
155.18/155.39	(step @p190 :rule symm :premises (@p189))
155.18/155.39	(step @p191 :rule refl :args (@t55))
155.18/155.39	(step @p192 :rule eq_resolve :premises (@p191 @p190))
155.18/155.39	(step @p193 :rule ho_cong :premises (@p173 @p53))
155.18/155.39	(step @p194 :rule ho_cong :premises (@p193 @p40))
155.18/155.39	(step @p195 :rule trans :premises (@p194 @p192))
155.18/155.39	(step @p196 :rule cong :premises (@p195) :args (@t56))
155.18/155.39	(step @p197 :rule refl :args ((tptp.cP_3 @t13 @t12)))
155.18/155.39	(step @p198 :rule cong :premises (@p21 @p20) :args (@t162))
155.18/155.39	(step @p199 :rule trans :premises (@p198 @p197))
155.18/155.39	(step @p200 :rule ho_cong :premises (@p173 @p21))
155.18/155.39	(step @p201 :rule ho_cong :premises (@p200 @p20))
155.18/155.39	(step @p202 :rule cong :premises (@p201 @p199) :args ((= (_ @t180 @t12) @t162)))
155.18/155.39	(step @p203 :rule symm :premises (@p202))
155.18/155.39	(step @p204 :rule refl :args (@t58))
155.18/155.39	(step @p205 :rule eq_resolve :premises (@p204 @p203))
155.18/155.39	(step @p206 :rule ho_cong :premises (@p173 @p34))
155.18/155.39	(step @p207 :rule ho_cong :premises (@p206 @p20))
155.18/155.39	(step @p208 :rule trans :premises (@p207 @p205))
155.18/155.39	(step @p209 :rule cong :premises (@p208) :args (@t59))
155.18/155.39	(step @p210 :rule refl :args (@t163))
155.18/155.39	(step @p211 :rule refl :args (@t60))
155.18/155.39	(step @p212 :rule cong :premises (@p211 @p210) :args ((= @t60 @t163)))
155.18/155.39	(step @p213 :rule symm :premises (@p212))
155.18/155.39	(step @p214 :rule eq_resolve :premises (@p211 @p213))
155.18/155.39	(step @p215 :rule cong :premises (@p214) :args (@t61))
155.18/155.39	(step @p216 :rule nary_cong :premises (@p215 @p209 @p196 @p183 @p169) :args (@t62))
155.18/155.39	(step @p217 :rule cong :premises (@p216) :args (@t63))
155.18/155.39	(step @p218 :rule refl :args (@t64))
155.18/155.39	(step @p219 :rule refl :args (@t65))
155.18/155.39	(step @p220 :rule refl :args (@t164))
155.18/155.39	(step @p221 :rule refl :args (@t66))
155.18/155.39	(step @p222 :rule cong :premises (@p221 @p220) :args ((= @t66 @t164)))
155.18/155.39	(step @p223 :rule symm :premises (@p222))
155.18/155.39	(step @p224 :rule eq_resolve :premises (@p221 @p223))
155.18/155.39	(step @p225 :rule cong :premises (@p224) :args (@t67))
155.18/155.39	(step @p226 :rule refl :args (@t165))
155.18/155.39	(step @p227 :rule refl :args (@t68))
155.18/155.39	(step @p228 :rule cong :premises (@p227 @p226) :args ((= @t68 @t165)))
155.18/155.39	(step @p229 :rule symm :premises (@p228))
155.18/155.39	(step @p230 :rule eq_resolve :premises (@p227 @p229))
155.18/155.39	(step @p231 :rule cong :premises (@p230) :args (@t69))
155.18/155.39	(step @p232 :rule cong :premises (@p231) :args (@t71))
155.18/155.39	(step @p233 :rule refl :args ((tptp.cP_4 @t13 @t12)))
155.18/155.39	(step @p234 :rule cong :premises (@p21 @p20) :args (@t166))
155.18/155.39	(step @p235 :rule trans :premises (@p234 @p233))
155.18/155.39	(step @p236 :rule refl :args (tptp.cP_4))
155.18/155.39	(step @p237 :rule ho_cong :premises (@p236 @p21))
155.18/155.39	(step @p238 :rule ho_cong :premises (@p237 @p20))
155.18/155.39	(step @p239 :rule cong :premises (@p238 @p235) :args ((= (_ @t181 @t12) @t166)))
155.18/155.39	(step @p240 :rule symm :premises (@p239))
155.18/155.39	(step @p241 :rule refl :args (@t73))
155.18/155.39	(step @p242 :rule eq_resolve :premises (@p241 @p240))
155.18/155.39	(step @p243 :rule ho_cong :premises (@p236 @p34))
155.18/155.39	(step @p244 :rule ho_cong :premises (@p243 @p20))
155.18/155.39	(step @p245 :rule trans :premises (@p244 @p242))
155.18/155.39	(step @p246 :rule cong :premises (@p245) :args (@t74))
155.18/155.39	(step @p247 :rule refl :args ((tptp.cP_4 @t23 @t21)))
155.18/155.39	(step @p248 :rule cong :premises (@p65 @p64) :args (@t167))
155.18/155.39	(step @p249 :rule trans :premises (@p248 @p247))
155.18/155.39	(step @p250 :rule ho_cong :premises (@p236 @p65))
155.18/155.39	(step @p251 :rule ho_cong :premises (@p250 @p64))
155.18/155.39	(step @p252 :rule cong :premises (@p251 @p249) :args ((= (_ (_ tptp.cP_4 @t149) @t21) @t167)))
155.18/155.39	(step @p253 :rule symm :premises (@p252))
155.18/155.39	(step @p254 :rule refl :args (@t75))
155.18/155.39	(step @p255 :rule eq_resolve :premises (@p254 @p253))
155.18/155.39	(step @p256 :rule ho_cong :premises (@p236 @p77))
155.18/155.39	(step @p257 :rule ho_cong :premises (@p256 @p64))
155.18/155.39	(step @p258 :rule trans :premises (@p257 @p255))
155.18/155.39	(step @p259 :rule cong :premises (@p258) :args (@t76))
155.18/155.39	(step @p260 :rule refl :args (@t168))
155.18/155.39	(step @p261 :rule refl :args (@t77))
155.18/155.39	(step @p262 :rule cong :premises (@p261 @p260) :args ((= @t77 @t168)))
155.18/155.39	(step @p263 :rule symm :premises (@p262))
155.18/155.39	(step @p264 :rule eq_resolve :premises (@p261 @p263))
155.18/155.39	(step @p265 :rule refl :args ((tptp.cP_4 @t18 @t17)))
155.18/155.39	(step @p266 :rule cong :premises (@p41 @p40) :args (@t169))
155.18/155.39	(step @p267 :rule trans :premises (@p266 @p265))
155.18/155.39	(step @p268 :rule ho_cong :premises (@p236 @p41))
155.18/155.39	(step @p269 :rule ho_cong :premises (@p268 @p40))
155.18/155.39	(step @p270 :rule cong :premises (@p269 @p267) :args ((= (_ (_ tptp.cP_4 @t146) @t17) @t169)))
155.18/155.39	(step @p271 :rule symm :premises (@p270))
155.18/155.39	(step @p272 :rule refl :args (@t78))
155.18/155.39	(step @p273 :rule eq_resolve :premises (@p272 @p271))
155.18/155.39	(step @p274 :rule ho_cong :premises (@p236 @p53))
155.18/155.39	(step @p275 :rule ho_cong :premises (@p274 @p40))
155.18/155.39	(step @p276 :rule trans :premises (@p275 @p273))
155.18/155.39	(step @p277 :rule cong :premises (@p276) :args (@t79))
155.18/155.39	(step @p278 :rule refl :args (@t170))
155.18/155.39	(step @p279 :rule refl :args (@t80))
155.18/155.39	(step @p280 :rule cong :premises (@p279 @p278) :args ((= @t80 @t170)))
155.18/155.39	(step @p281 :rule symm :premises (@p280))
155.18/155.39	(step @p282 :rule eq_resolve :premises (@p279 @p281))
155.18/155.39	(step @p283 :rule cong :premises (@p282) :args (@t81))
155.18/155.39	(step @p284 :rule nary_cong :premises (@p283 @p277 @p264 @p259 @p246) :args (@t82))
155.18/155.39	(step @p285 :rule cong :premises (@p284) :args (@t83))
155.18/155.39	(step @p286 :rule refl :args ((tptp.cP_4 @t13 @t9)))
155.18/155.39	(step @p287 :rule cong :premises (@p21 @p92) :args (@t171))
155.18/155.39	(step @p288 :rule trans :premises (@p287 @p286))
155.18/155.39	(step @p289 :rule ho_cong :premises (@p237 @p92))
155.18/155.39	(step @p290 :rule cong :premises (@p289 @p288) :args ((= (_ @t181 @t9) @t171)))
155.18/155.39	(step @p291 :rule symm :premises (@p290))
155.18/155.39	(step @p292 :rule refl :args (@t84))
155.18/155.39	(step @p293 :rule eq_resolve :premises (@p292 @p291))
155.18/155.39	(step @p294 :rule ho_cong :premises (@p243 @p92))
155.18/155.39	(step @p295 :rule trans :premises (@p294 @p293))
155.18/155.39	(step @p296 :rule refl :args (@t172))
155.18/155.39	(step @p297 :rule refl :args (@t85))
155.18/155.39	(step @p298 :rule cong :premises (@p297 @p296) :args ((= @t85 @t172)))
155.18/155.39	(step @p299 :rule symm :premises (@p298))
155.18/155.39	(step @p300 :rule eq_resolve :premises (@p297 @p299))
155.18/155.39	(step @p301 :rule cong :premises (@p300) :args (@t86))
155.18/155.39	(step @p302 :rule nary_cong :premises (@p301 @p295) :args (@t87))
155.18/155.39	(step @p303 :rule cong :premises (@p302) :args (@t88))
155.18/155.39	(step @p304 :rule refl :args (@t89))
155.18/155.39	(step @p305 :rule refl :args ((tptp.cP_3 @t13 @t9)))
155.18/155.39	(step @p306 :rule cong :premises (@p21 @p92) :args (@t173))
155.18/155.39	(step @p307 :rule trans :premises (@p306 @p305))
155.18/155.39	(step @p308 :rule ho_cong :premises (@p200 @p92))
155.18/155.39	(step @p309 :rule cong :premises (@p308 @p307) :args ((= (_ @t180 @t9) @t173)))
155.18/155.39	(step @p310 :rule symm :premises (@p309))
155.18/155.39	(step @p311 :rule refl :args (@t90))
155.18/155.39	(step @p312 :rule eq_resolve :premises (@p311 @p310))
155.18/155.39	(step @p313 :rule ho_cong :premises (@p206 @p92))
155.18/155.39	(step @p314 :rule trans :premises (@p313 @p312))
155.18/155.39	(step @p315 :rule refl :args (@t174))
155.18/155.39	(step @p316 :rule refl :args (@t91))
155.18/155.39	(step @p317 :rule cong :premises (@p316 @p315) :args ((= @t91 @t174)))
155.18/155.39	(step @p318 :rule symm :premises (@p317))
155.18/155.39	(step @p319 :rule eq_resolve :premises (@p316 @p318))
155.18/155.39	(step @p320 :rule cong :premises (@p319) :args (@t92))
155.18/155.39	(step @p321 :rule nary_cong :premises (@p320 @p314) :args (@t93))
155.18/155.39	(step @p322 :rule cong :premises (@p321) :args (@t94))
155.18/155.39	(step @p323 :rule refl :args (@t95))
155.18/155.39	(step @p324 :rule refl :args (@t175))
155.18/155.39	(step @p325 :rule refl :args (@t96))
155.18/155.39	(step @p326 :rule cong :premises (@p325 @p324) :args ((= @t96 @t175)))
155.18/155.39	(step @p327 :rule symm :premises (@p326))
155.18/155.39	(step @p328 :rule eq_resolve :premises (@p325 @p327))
155.18/155.39	(step @p329 :rule cong :premises (@p328) :args (@t97))
155.18/155.39	(step @p330 :rule refl :args (@t98))
155.18/155.39	(step @p331 :rule refl :args (@t99))
155.18/155.39	(step @p332 :rule refl :args ((tptp.cP_1 @t13 @t9)))
155.18/155.39	(step @p333 :rule cong :premises (@p21 @p92) :args (@t176))
155.18/155.39	(step @p334 :rule trans :premises (@p333 @p332))
155.18/155.39	(step @p335 :rule ho_cong :premises (@p25 @p92))
155.18/155.39	(step @p336 :rule cong :premises (@p335 @p334) :args ((= (_ @t178 @t9) @t176)))
155.18/155.39	(step @p337 :rule symm :premises (@p336))
155.18/155.39	(step @p338 :rule refl :args (@t100))
155.18/155.39	(step @p339 :rule eq_resolve :premises (@p338 @p337))
155.18/155.39	(step @p340 :rule ho_cong :premises (@p35 @p92))
155.18/155.39	(step @p341 :rule trans :premises (@p340 @p339))
155.18/155.39	(step @p342 :rule refl :args (@t177))
155.18/155.39	(step @p343 :rule refl :args (@t101))
155.18/155.39	(step @p344 :rule cong :premises (@p343 @p342) :args ((= @t101 @t177)))
155.18/155.39	(step @p345 :rule symm :premises (@p344))
155.18/155.39	(step @p346 :rule eq_resolve :premises (@p343 @p345))
155.18/155.39	(step @p347 :rule cong :premises (@p346) :args (@t102))
155.18/155.39	(step @p348 :rule nary_cong :premises (@p347 @p341) :args (@t103))
155.18/155.39	(step @p349 :rule cong :premises (@p348) :args (@t104))
155.18/155.39	(step @p350 :rule refl :args (@t105))
155.18/155.39	(step @p351 :rule nary_cong :premises (@p350 @p349 @p331 @p330 @p329 @p323 @p322 @p304 @p303 @p285 @p232 @p225 @p219 @p218 @p217 @p164 @p158 @p157 @p156 @p106 @p84 @p83 @p12 @p6 @p5 @p4) :args (@t106))
155.18/155.39	(step @p352 :rule bool-double-not-elim :args (@t106))
155.18/155.39	(step @p353 :rule trans :premises (@p352 @p351))
155.18/155.39	(step @p354 :rule trans :premises (@p353 @p3))
155.18/155.39	(step @p355 :rule eq_resolve :premises (@p1 @p354))
155.18/155.39	(step @p356 :rule and_elim :premises (@p355) :args (21))
155.18/155.39	(step @p357 :rule and_elim :premises (@p355) :args (18))
155.18/155.39	(step @p358 :rule instantiate :premises (@p357) :args (@t182))
155.18/155.39	(step @p359 :rule and_elim :premises (@p355) :args (14))
155.18/155.39	(step @p360 :rule instantiate :premises (@p359) :args (@t182))
155.18/155.39	(step @p361 :rule and_elim :premises (@p355) :args (9))
155.18/155.39	(step @p362 :rule instantiate :premises (@p361) :args (@t182))
155.18/155.39	(step @p363 :rule and_elim :premises (@p355) :args (10))
155.18/155.39	(step @p364 :rule instantiate :premises (@p363) :args ((@list tptp.a tptp.b tptp.c)))
155.18/155.39	(step @p365 :rule and_elim :premises (@p355) :args (8))
155.18/155.39	(step @p366 :rule instantiate :premises (@p365) :args (@t183))
155.18/155.39	(step @p367 :rule and_elim :premises (@p355) :args (13))
155.18/155.39	(step @p368 :rule cnf_or_pos :args (@t187))
155.18/155.39	(step @p369 :rule reordering :premises (@p368) :args ((or @t186 @t185 (not @t187))))
155.18/155.39	(step @p370 :rule chain_resolution :premises (@p369 @p367 @p366) :args (@t188 (@list @t133 @t187)))
155.18/155.39	(step @p371 :rule instantiate :premises (@p365) :args (@t189))
155.18/155.39	(step @p372 :rule and_elim :premises (@p355) :args (7))
155.18/155.39	(step @p373 :rule cnf_or_pos :args (@t193))
155.18/155.39	(step @p374 :rule reordering :premises (@p373) :args ((or @t192 @t191 (not @t193))))
155.18/155.39	(step @p375 :rule chain_resolution :premises (@p374 @p372 @p371) :args (@t188 (@list @t137 @t193)))
155.18/155.39	(step @p376 :rule instantiate :premises (@p365) :args (@t194))
155.18/155.39	(step @p377 :rule and_elim :premises (@p355) :args (12))
155.18/155.39	(step @p378 :rule cnf_or_pos :args (@t198))
155.18/155.39	(step @p379 :rule reordering :premises (@p378) :args ((or @t197 @t196 (not @t198))))
155.18/155.39	(step @p380 :rule chain_resolution :premises (@p379 @p377 @p376) :args (@t188 (@list @t134 @t198)))
155.18/155.39	(step @p381 :rule cnf_or_pos :args (@t205))
155.18/155.39	(step @p382 :rule reordering :premises (@p381) :args ((or @t200 @t199 @t202 @t201 @t204 (not @t205))))
155.18/155.39	(step @p383 :rule chain_resolution :premises (@p382 @p380 @p375 @p370 @p364 @p362) :args (@t206 (@list @t196 @t191 @t185 @t201 @t205)))
155.18/155.39	(step @p384 :rule and_elim :premises (@p355) :args (6))
155.18/155.39	(step @p385 :rule instantiate :premises (@p384) :args (@t183))
155.18/155.39	(step @p386 :rule and_elim :premises (@p355) :args (5))
155.18/155.39	(step @p387 :rule cnf_or_pos :args (@t209))
155.18/155.39	(step @p388 :rule reordering :premises (@p387) :args ((or @t208 @t207 (not @t209))))
155.18/155.39	(step @p389 :rule chain_resolution :premises (@p388 @p386 @p385) :args (@t188 (@list @t138 @t209)))
155.18/155.39	(step @p390 :rule instantiate :premises (@p384) :args (@t189))
155.18/155.39	(step @p391 :rule and_elim :premises (@p355) :args (17))
155.18/155.39	(step @p392 :rule cnf_or_pos :args (@t212))
155.18/155.39	(step @p393 :rule reordering :premises (@p392) :args ((or @t211 @t210 (not @t212))))
155.18/155.39	(step @p394 :rule chain_resolution :premises (@p393 @p391 @p390) :args (@t188 (@list @t128 @t212)))
155.18/155.39	(step @p395 :rule instantiate :premises (@p384) :args (@t194))
155.18/155.39	(step @p396 :rule and_elim :premises (@p355) :args (16))
155.18/155.39	(step @p397 :rule cnf_or_pos :args (@t215))
155.18/155.39	(step @p398 :rule reordering :premises (@p397) :args ((or @t214 @t213 (not @t215))))
155.18/155.39	(step @p399 :rule chain_resolution :premises (@p398 @p396 @p395) :args (@t188 (@list @t129 @t215)))
155.18/155.39	(step @p400 :rule cnf_or_pos :args (@t221))
155.18/155.39	(step @p401 :rule reordering :premises (@p400) :args ((or @t216 @t218 @t217 @t203 @t220 (not @t221))))
155.18/155.39	(step @p402 :rule chain_resolution :premises (@p401 @p399 @p394 @p389 @p383 @p360) :args (@t206 (@list @t213 @t210 @t207 @t203 @t221)))
155.18/155.39	(step @p403 :rule and_elim :premises (@p355) :args (19))
155.18/155.39	(step @p404 :rule instantiate :premises (@p403) :args (@t183))
155.18/155.39	(step @p405 :rule and_elim :premises (@p355) :args (2))
155.18/155.39	(step @p406 :rule cnf_or_pos :args (@t224))
155.18/155.39	(step @p407 :rule reordering :premises (@p406) :args ((or @t222 @t223 (not @t224))))
155.18/155.39	(step @p408 :rule chain_resolution :premises (@p407 @p405 @p404) :args (@t188 (@list @t140 @t224)))
155.18/155.39	(step @p409 :rule instantiate :premises (@p403) :args (@t189))
155.18/155.39	(step @p410 :rule and_elim :premises (@p355) :args (20))
155.18/155.39	(step @p411 :rule cnf_or_pos :args (@t227))
155.18/155.39	(step @p412 :rule reordering :premises (@p411) :args ((or @t225 @t226 (not @t227))))
155.18/155.39	(step @p413 :rule chain_resolution :premises (@p412 @p410 @p409) :args (@t188 (@list @t124 @t227)))
155.18/155.39	(step @p414 :rule instantiate :premises (@p403) :args (@t194))
155.18/155.39	(step @p415 :rule and_elim :premises (@p355) :args (3))
155.18/155.39	(step @p416 :rule cnf_or_pos :args (@t230))
155.18/155.39	(step @p417 :rule reordering :premises (@p416) :args ((or @t228 @t229 (not @t230))))
155.18/155.39	(step @p418 :rule chain_resolution :premises (@p417 @p415 @p414) :args (@t188 (@list @t139 @t230)))
155.18/155.39	(step @p419 :rule cnf_or_pos :args (@t236))
155.18/155.39	(step @p420 :rule reordering :premises (@p419) :args ((or @t232 @t233 @t231 @t235 @t219 (not @t236))))
155.18/155.39	(step @p421 :rule chain_resolution :premises (@p420 @p418 @p413 @p408 @p402 @p358) :args (@t206 (@list @t229 @t226 @t223 @t219 @t236)))
155.18/155.39	(step @p422 :rule and_elim :premises (@p355) :args (1))
155.18/155.39	(step @p423 :rule instantiate :premises (@p422) :args (@t183))
155.18/155.39	(step @p424 :rule and_elim :premises (@p355) :args (0))
155.18/155.39	(step @p425 :rule cnf_or_pos :args (@t239))
155.18/155.39	(step @p426 :rule reordering :premises (@p425) :args ((or @t238 @t237 (not @t239))))
155.18/155.39	(step @p427 :rule chain_resolution :premises (@p426 @p424 @p423) :args (@t188 (@list @t141 @t239)))
155.18/155.39	(step @p428 :rule instantiate :premises (@p422) :args (@t189))
155.18/155.39	(step @p429 :rule and_elim :premises (@p355) :args (24))
155.18/155.39	(step @p430 :rule cnf_or_pos :args (@t242))
155.18/155.39	(step @p431 :rule reordering :premises (@p430) :args ((or @t241 @t240 (not @t242))))
155.18/155.39	(step @p432 :rule chain_resolution :premises (@p431 @p429 @p428) :args (@t188 (@list @t113 @t242)))
155.18/155.39	(step @p433 :rule instantiate :premises (@p422) :args (@t194))
155.18/155.39	(step @p434 :rule and_elim :premises (@p355) :args (23))
155.18/155.39	(step @p435 :rule cnf_or_pos :args (@t245))
155.18/155.39	(step @p436 :rule reordering :premises (@p435) :args ((or @t244 @t243 (not @t245))))
155.18/155.39	(step @p437 :rule chain_resolution :premises (@p436 @p434 @p433) :args (@t188 (@list @t114 @t245)))
155.18/155.39	(step @p438 :rule and_elim :premises (@p355) :args (25))
155.18/155.39	(step @p439 :rule cnf_or_pos :args (@t250))
155.18/155.39	(step @p440 :rule reordering :premises (@p439) :args ((or @t246 @t249 @t247 @t248 @t234 (not @t250))))
155.18/155.39	(step @p441 :rule chain_resolution :premises (@p440 @p438 @p437 @p432 @p427 @p421) :args ((@list false false false false true) (@list @t111 @t243 @t240 @t237 @t234)))
155.18/155.39	(assume-push @p448 @t122)
155.18/155.39	(step @p443 :rule instantiate :premises (@p356) :args (@t182))
155.18/155.39	(step-pop @p448 :rule scope :premises (@p443))
155.18/155.39	(step @p444 :rule process_scope :premises (@p448) :args (@t250))
155.18/155.39	(step @p446 :rule implies_elim :premises (@p444))
155.18/155.39	(step @p447 false :rule chain_resolution :premises (@p446 @p441 @p356) :args ((@list true false) (@list @t250 @t122)))
155.18/155.39	)
155.18/155.39	% SZS output end Proof
155.18/155.39	% cvc5 exiting
155.18/155.40	EOF