0.03/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.13	% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.13/0.34	% Computer : n031.cluster.edu
0.13/0.34	% Model    : x86_64 x86_64
0.13/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory   : 8042.1875MB
0.13/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit : 1920
0.13/0.34	% WCLimit  : 240
0.13/0.34	% DateTime : Sat Sep  6 01:35:37 EDT 2025
0.13/0.34	% CPUTime  : 
0.19/0.49	%----Proving TH0
129.01/129.34	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
129.01/129.34	--- 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...
129.01/129.34	--- 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...
129.01/129.34	--- Run --ho-elim --full-saturate-quant at 14s...
129.01/129.34	% SZS status Theorem
129.01/129.34	% SZS output start Proof
129.01/129.34	(
129.01/129.34	(declare-type $$unsorted ())
129.01/129.34	(declare-const tptp.emptyset $$unsorted)
129.01/129.34	(declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted))
129.01/129.34	(declare-const tptp.in (-> $$unsorted $$unsorted Bool))
129.01/129.34	(declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted))
129.01/129.34	(declare-const tptp.eqinunit Bool)
129.01/129.34	(declare-const tptp.uniqinunit Bool)
129.01/129.34	(declare-const tptp.setext Bool)
129.01/129.34	(declare-const tptp.dsetconstrER Bool)
129.01/129.34	(declare-const tptp.dsetconstrEL Bool)
129.01/129.34	(declare-const tptp.dsetconstrI Bool)
129.01/129.34	(define tptp.singleton () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (lambda (@list _let_2) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_2) (= _let_2 (_ (_ tptp.setadjoin _let_1) tptp.emptyset))))))))
129.01/129.34	(define tptp.ex1 () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xphi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ tptp.singleton (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_1) (_ _let_2 _let_1)))))))))
129.01/129.34	(define @t1 () (@var "Xy" $$unsorted))
129.01/129.34	(define @t2 () (@var "Xphi" (-> $$unsorted Bool)))
129.01/129.34	(define @t3 () (_ @t2 @t1))
129.01/129.34	(define @t4 () (@list @t1))
129.01/129.34	(define @t5 () (lambda @t4 @t3))
129.01/129.34	(define @t6 () (@var "A" $$unsorted))
129.01/129.34	(define @t7 () (_ tptp.dsetconstr @t6))
129.01/129.34	(define @t8 () (_ @t7 @t5))
129.01/129.34	(define @t9 () (@var "Xx" $$unsorted))
129.01/129.34	(define @t10 () (_ tptp.in @t9))
129.01/129.34	(define @t11 () (_ @t10 @t8))
129.01/129.34	(define @t12 () (_ @t2 @t9))
129.01/129.34	(define @t13 () (=> @t12 @t11))
129.01/129.34	(define @t14 () (_ @t10 @t6))
129.01/129.34	(define @t15 () (@list @t6 @t2 @t9))
129.01/129.34	(define @t16 () (forall @t15 (=> @t14 @t13)))
129.01/129.34	(define @t17 () (= tptp.dsetconstrI @t16))
129.01/129.34	(define @t18 () (forall @t15 (=> @t11 @t14)))
129.01/129.34	(define @t19 () (= tptp.dsetconstrEL @t18))
129.01/129.34	(define @t20 () (forall @t15 (=> @t11 @t12)))
129.01/129.34	(define @t21 () (= tptp.dsetconstrER @t20))
129.01/129.34	(define @t22 () (@var "B" $$unsorted))
129.01/129.34	(define @t23 () (= @t6 @t22))
129.01/129.34	(define @t24 () (_ @t10 @t22))
129.01/129.34	(define @t25 () (@list @t9))
129.01/129.34	(define @t26 () (forall @t25 (=> @t24 @t14)))
129.01/129.34	(define @t27 () (=> @t26 @t23))
129.01/129.34	(define @t28 () (forall @t25 (=> @t14 @t24)))
129.01/129.34	(define @t29 () (=> @t28 @t27))
129.01/129.34	(define @t30 () (@list @t6 @t22))
129.01/129.34	(define @t31 () (forall @t30 @t29))
129.01/129.34	(define @t32 () (= tptp.setext @t31))
129.01/129.34	(define @t33 () (= @t9 @t1))
129.01/129.34	(define @t34 () (_ (_ tptp.setadjoin @t1) tptp.emptyset))
129.01/129.34	(define @t35 () (_ @t10 @t34))
129.01/129.34	(define @t36 () (@list @t9 @t1))
129.01/129.34	(define @t37 () (forall @t36 (=> @t35 @t33)))
129.01/129.34	(define @t38 () (= tptp.uniqinunit @t37))
129.01/129.34	(define @t39 () (forall @t36 (=> @t33 @t35)))
129.01/129.34	(define @t40 () (= tptp.eqinunit @t39))
129.01/129.34	(define @t41 () (=> @t3 (= @t1 @t9)))
129.01/129.34	(define @t42 () (_ (_ tptp.in @t1) @t6))
129.01/129.34	(define @t43 () (=> @t42 @t41))
129.01/129.34	(define @t44 () (forall @t4 @t43))
129.01/129.34	(define @t45 () (=> @t44 (_ (_ tptp.ex1 @t6) @t5)))
129.01/129.34	(define @t46 () (=> @t12 @t45))
129.01/129.34	(define @t47 () (=> @t14 @t46))
129.01/129.34	(define @t48 () (forall @t15 @t47))
129.01/129.34	(define @t49 () (=> tptp.eqinunit @t48))
129.01/129.34	(define @t50 () (=> tptp.uniqinunit @t49))
129.01/129.34	(define @t51 () (=> tptp.setext @t50))
129.01/129.34	(define @t52 () (=> tptp.dsetconstrER @t51))
129.01/129.34	(define @t53 () (=> tptp.dsetconstrEL @t52))
129.01/129.34	(define @t54 () (=> tptp.dsetconstrI @t53))
129.01/129.34	(define @t55 () (not @t54))
129.01/129.34	(define @t56 () (_ (_ tptp.setadjoin @t9) tptp.emptyset))
129.01/129.34	(define @t57 () (= @t6 @t56))
129.01/129.34	(define @t58 () (and @t14 @t57))
129.01/129.34	(define @t59 () (exists @t25 @t58))
129.01/129.34	(define @t60 () (@list @t6))
129.01/129.34	(define @t61 () (lambda @t60 @t59))
129.01/129.34	(define @t62 () (lambda @t25 @t12))
129.01/129.34	(define @t63 () (_ @t7 @t62))
129.01/129.34	(define @t64 () (@list @t6 @t2))
129.01/129.34	(define @t65 () (lambda @t64 (_ tptp.singleton @t63)))
129.01/129.34	(define @t66 () (@var "BOUND_VARIABLE_7677" (@ho-elim-sort (-> $$unsorted Bool))))
129.01/129.34	(define @t67 () (@const 0 (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted))))
129.01/129.34	(define @t68 () (@const 1 (-> (@ho-elim-sort (-> $$unsorted (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)) $$unsorted (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)))))
129.01/129.34	(define @t69 () (@const 2 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)) (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted)))
129.01/129.34	(define @t70 () (_ @t69 (_ @t68 @t67 @t6) @t66))
129.01/129.34	(define @t71 () (@var "BOUND_VARIABLE_7573" $$unsorted))
129.01/129.34	(define @t72 () (@const 3 (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted))))
129.01/129.34	(define @t73 () (@const 4 (-> (@ho-elim-sort (-> $$unsorted $$unsorted $$unsorted)) $$unsorted (@ho-elim-sort (-> $$unsorted $$unsorted)))))
129.01/129.34	(define @t74 () (@const 5 (-> (@ho-elim-sort (-> $$unsorted $$unsorted)) $$unsorted $$unsorted)))
129.01/129.34	(define @t75 () (_ @t74 (_ @t73 @t72 @t71) tptp.emptyset))
129.01/129.34	(define @t76 () (not (= @t70 @t75)))
129.01/129.34	(define @t77 () (@const 6 (@ho-elim-sort (-> $$unsorted $$unsorted Bool))))
129.01/129.34	(define @t78 () (@const 7 (-> (@ho-elim-sort (-> $$unsorted $$unsorted Bool)) $$unsorted (@ho-elim-sort (-> $$unsorted Bool)))))
129.01/129.34	(define @t79 () (_ @t78 @t77 @t71))
129.01/129.34	(define @t80 () (@const 8 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool)))
129.01/129.34	(define @t81 () (not (_ @t80 @t79 @t70)))
129.01/129.34	(define @t82 () (or @t81 @t76))
129.01/129.34	(define @t83 () (@list @t71))
129.01/129.34	(define @t84 () (forall @t83 @t82))
129.01/129.34	(define @t85 () (not @t84))
129.01/129.34	(define @t86 () (_ @t78 @t77 @t1))
129.01/129.34	(define @t87 () (not (forall @t4 (or (not (_ @t80 @t86 @t6)) (not (_ @t80 @t66 @t1)) @t33))))
129.01/129.34	(define @t88 () (_ @t80 @t66 @t9))
129.01/129.34	(define @t89 () (not @t88))
129.01/129.34	(define @t90 () (_ @t78 @t77 @t9))
129.01/129.34	(define @t91 () (_ @t80 @t90 @t6))
129.01/129.34	(define @t92 () (not @t91))
129.01/129.34	(define @t93 () (or @t92 @t89 @t87 @t85))
129.01/129.34	(define @t94 () (@list @t6 @t66 @t9))
129.01/129.34	(define @t95 () (forall @t94 @t93))
129.01/129.34	(define @t96 () (_ @t74 (_ @t73 @t72 @t1) tptp.emptyset))
129.01/129.34	(define @t97 () (forall @t4 (_ @t80 @t86 @t96)))
129.01/129.34	(define @t98 () (=> @t97 @t95))
129.01/129.34	(define @t99 () (forall @t36 (or (not (_ @t80 @t90 @t96)) @t33)))
129.01/129.34	(define @t100 () (=> @t99 @t98))
129.01/129.34	(define @t101 () (_ @t80 @t90 @t22))
129.01/129.34	(define @t102 () (forall @t30 (or (not (forall @t25 (or @t92 @t101))) (not (forall @t25 (or (not @t101) @t91))) @t23)))
129.01/129.34	(define @t103 () (=> @t102 @t100))
129.01/129.34	(define @t104 () (_ @t80 @t90 @t70))
129.01/129.34	(define @t105 () (not @t104))
129.01/129.34	(define @t106 () (forall @t94 (or @t105 @t88)))
129.01/129.34	(define @t107 () (=> @t106 @t103))
129.01/129.34	(define @t108 () (forall @t94 (or @t105 @t91)))
129.01/129.34	(define @t109 () (=> @t108 @t107))
129.01/129.34	(define @t110 () (forall @t94 (or @t92 @t89 @t104)))
129.01/129.34	(define @t111 () (=> @t110 @t109))
129.01/129.34	(define @t112 () (not @t111))
129.01/129.34	(define @t113 () (tptp.setadjoin @t71 tptp.emptyset))
129.01/129.34	(define @t114 () (tptp.dsetconstr @t6 @t2))
129.01/129.34	(define @t115 () (not (tptp.in @t71 @t114)))
129.01/129.34	(define @t116 () (_ @t2 @t1))
129.01/129.34	(define @t117 () (tptp.in @t1 @t6))
129.01/129.34	(define @t118 () (forall @t4 (or (not @t117) (not @t116) @t33)))
129.01/129.34	(define @t119 () (not @t118))
129.01/129.34	(define @t120 () (_ @t2 @t9))
129.01/129.34	(define @t121 () (not @t120))
129.01/129.34	(define @t122 () (tptp.in @t9 @t6))
129.01/129.34	(define @t123 () (not @t122))
129.01/129.34	(define @t124 () (forall @t15 (or @t123 @t121 @t119 (not (forall @t83 (or @t115 (not (= @t114 @t113))))))))
129.01/129.34	(define @t125 () (tptp.setadjoin @t1 tptp.emptyset))
129.01/129.34	(define @t126 () (tptp.in @t1 @t125))
129.01/129.34	(define @t127 () (tptp.in @t9 @t125))
129.01/129.34	(define @t128 () (tptp.in @t9 @t22))
129.01/129.34	(define @t129 () (forall @t25 (or (not @t128) @t122)))
129.01/129.34	(define @t130 () (not @t129))
129.01/129.34	(define @t131 () (forall @t25 (or @t123 @t128)))
129.01/129.34	(define @t132 () (not @t131))
129.01/129.34	(define @t133 () (or @t132 @t130 @t23))
129.01/129.34	(define @t134 () (tptp.in @t9 @t114))
129.01/129.34	(define @t135 () (not @t134))
129.01/129.34	(define @t136 () (not (= @t1 @t1)))
129.01/129.34	(define @t137 () (or @t136 @t126))
129.01/129.34	(define @t138 () (not @t33))
129.01/129.34	(define @t139 () (or @t138 @t138 @t127))
129.01/129.34	(define @t140 () (or @t138 @t127))
129.01/129.34	(define @t141 () (forall @t25 @t140))
129.01/129.34	(define @t142 () (forall @t4 @t141))
129.01/129.34	(define @t143 () (forall (@list @t1 @t9) @t140))
129.01/129.34	(define @t144 () (or @t138 @t35))
129.01/129.34	(define @t145 () (=> tptp.eqinunit @t124))
129.01/129.34	(define @t146 () (not @t35))
129.01/129.34	(define @t147 () (or @t146 @t33))
129.01/129.34	(define @t148 () (=> tptp.uniqinunit @t145))
129.01/129.34	(define @t149 () (=> @t129 @t23))
129.01/129.34	(define @t150 () (not @t24))
129.01/129.34	(define @t151 () (or @t150 @t14))
129.01/129.34	(define @t152 () (not @t14))
129.01/129.34	(define @t153 () (or @t152 @t24))
129.01/129.34	(define @t154 () (=> tptp.setext @t148))
129.01/129.34	(define @t155 () (lambda @t4 @t116))
129.01/129.34	(define @t156 () (tptp.dsetconstr @t6 @t155))
129.01/129.34	(define @t157 () (tptp.in @t9 @t156))
129.01/129.34	(define @t158 () (not @t157))
129.01/129.34	(define @t159 () (or @t158 @t120))
129.01/129.34	(define @t160 () (tptp.dsetconstr @t6 @t5))
129.01/129.34	(define @t161 () (not @t11))
129.01/129.34	(define @t162 () (or @t161 @t12))
129.01/129.34	(define @t163 () (=> tptp.dsetconstrER @t154))
129.01/129.34	(define @t164 () (or @t158 @t122))
129.01/129.34	(define @t165 () (or @t161 @t14))
129.01/129.34	(define @t166 () (=> tptp.dsetconstrEL @t163))
129.01/129.34	(define @t167 () (or @t123 @t121 @t157))
129.01/129.34	(define @t168 () (not @t12))
129.01/129.34	(define @t169 () (or @t152 @t168 @t11))
129.01/129.34	(define @t170 () (=> tptp.dsetconstrI @t166))
129.01/129.34	(define @t171 () (not (= @t113 @t114)))
129.01/129.34	(define @t172 () (or @t115 @t171))
129.01/129.34	(define @t173 () (forall @t83 @t172))
129.01/129.34	(define @t174 () (not @t173))
129.01/129.34	(define @t175 () (or @t123 @t121 @t119 @t174))
129.01/129.34	(define @t176 () (tptp.setadjoin @t9 tptp.emptyset))
129.01/129.34	(define @t177 () (forall @t25 (or @t135 (not (= @t176 @t114)))))
129.01/129.34	(define @t178 () (@list @t9))
129.01/129.34	(define @t179 () (not @t177))
129.01/129.34	(define @t180 () (or @t152 @t168 @t119 @t179))
129.01/129.34	(define @t181 () (or @t168 @t119 @t179))
129.01/129.34	(define @t182 () (=> @t118 @t179))
129.01/129.34	(define @t183 () (=> @t12 @t182))
129.01/129.34	(define @t184 () (= @t176 @t156))
129.01/129.34	(define @t185 () (not @t184))
129.01/129.34	(define @t186 () (or @t158 @t185))
129.01/129.34	(define @t187 () (= @t176 @t160))
129.01/129.34	(define @t188 () (not @t187))
129.01/129.34	(define @t189 () (tptp.in @t9 @t160))
129.01/129.34	(define @t190 () (not @t189))
129.01/129.34	(define @t191 () (or @t190 @t188))
129.01/129.34	(define @t192 () (forall @t25 @t191))
129.01/129.34	(define @t193 () (not @t192))
129.01/129.34	(define @t194 () (lambda (@list @t2) @t179))
129.01/129.34	(define @t195 () (_ (lambda @t64 @t179) @t6))
129.01/129.34	(define @t196 () (not @t3))
129.01/129.34	(define @t197 () (not @t42))
129.01/129.34	(define @t198 () (or @t197 @t196 @t33))
129.01/129.34	(define @t199 () (=> @t3 @t33))
129.01/129.34	(define @t200 () (=> @t44 (_ @t195 @t5)))
129.01/129.34	(define @t201 () (=> @t12 @t200))
129.01/129.34	(define @t202 () (=> @t14 @t201))
129.01/129.34	(define @t203 () (forall @t15 @t202))
129.01/129.34	(define @t204 () (=> tptp.eqinunit @t203))
129.01/129.34	(define @t205 () (=> tptp.uniqinunit @t204))
129.01/129.34	(define @t206 () (=> tptp.setext @t205))
129.01/129.34	(define @t207 () (=> tptp.dsetconstrER @t206))
129.01/129.34	(define @t208 () (=> tptp.dsetconstrEL @t207))
129.01/129.34	(define @t209 () (=> tptp.dsetconstrI @t208))
129.01/129.34	(define @t210 () (@var "BOUND_VARIABLE_7386" $$unsorted))
129.01/129.34	(define @t211 () (_ @t2 @t210))
129.01/129.34	(define @t212 () (@list @t210))
129.01/129.34	(define @t213 () (lambda @t212 @t211))
129.01/129.34	(define @t214 () (tptp.dsetconstr @t6 @t213))
129.01/129.34	(define @t215 () (= @t176 @t214))
129.01/129.34	(define @t216 () (not @t215))
129.01/129.34	(define @t217 () (tptp.in @t9 @t214))
129.01/129.34	(define @t218 () (not @t217))
129.01/129.34	(define @t219 () (or @t218 @t216))
129.01/129.34	(define @t220 () (lambda @t212 (_ @t2 @t210)))
129.01/129.34	(define @t221 () (= @t176 @t63))
129.01/129.34	(define @t222 () (not @t221))
129.01/129.34	(define @t223 () (tptp.in @t9 @t63))
129.01/129.34	(define @t224 () (not @t223))
129.01/129.34	(define @t225 () (or @t224 @t222))
129.01/129.34	(define @t226 () (not (= @t63 @t176)))
129.01/129.34	(define @t227 () (or @t224 @t226))
129.01/129.34	(define @t228 () (forall @t25 @t227))
129.01/129.34	(define @t229 () (not @t228))
129.01/129.34	(define @t230 () (not @t57))
129.01/129.34	(define @t231 () (or @t152 @t230))
129.01/129.34	(define @t232 () (forall @t25 (not @t58)))
129.01/129.34	(define @t233 () (not @t232))
129.01/129.34	(define @t234 () (forall @t94 (or @t92 @t89 @t87 (not (forall @t83 (or @t81 (not (= @t75 @t70))))))))
129.01/129.34	(define @t235 () (@quantifiers_skolemize @t234 2))
129.01/129.34	(define @t236 () (@quantifiers_skolemize @t234 1))
129.01/129.34	(define @t237 () (@quantifiers_skolemize @t234 0))
129.01/129.34	(define @t238 () (_ @t69 (_ @t68 @t67 @t237) @t236))
129.01/129.34	(define @t239 () (forall @t83 (or (not (_ @t80 @t79 @t238)) (not (= @t75 @t238)))))
129.01/129.34	(define @t240 () (not @t239))
129.01/129.34	(define @t241 () (not (_ @t80 @t236 @t1)))
129.01/129.34	(define @t242 () (not (_ @t80 @t86 @t237)))
129.01/129.34	(define @t243 () (forall @t4 (or @t242 @t241 (= @t1 @t235))))
129.01/129.34	(define @t244 () (not @t243))
129.01/129.34	(define @t245 () (_ @t80 @t236 @t235))
129.01/129.34	(define @t246 () (not @t245))
129.01/129.34	(define @t247 () (_ @t78 @t77 @t235))
129.01/129.34	(define @t248 () (_ @t80 @t247 @t237))
129.01/129.34	(define @t249 () (not @t248))
129.01/129.34	(define @t250 () (or @t249 @t246 @t244 @t240))
129.01/129.34	(define @t251 () (not @t250))
129.01/129.34	(define @t252 () (not @t234))
129.01/129.34	(define @t253 () (or @t242 @t241 (= @t235 @t1)))
129.01/129.34	(define @t254 () (forall @t4 @t253))
129.01/129.34	(define @t255 () (not @t254))
129.01/129.34	(define @t256 () (or @t249 @t246 @t255 @t240))
129.01/129.34	(define @t257 () (not @t256))
129.01/129.34	(define @t258 () (@list true))
129.01/129.34	(define @t259 () (@list @t250))
129.01/129.34	(define @t260 () (_ @t80 @t247 @t238))
129.01/129.34	(define @t261 () (or @t249 @t246 @t260))
129.01/129.34	(define @t262 () (_ @t74 (_ @t73 @t72 @t235) tptp.emptyset))
129.01/129.34	(define @t263 () (_ @t80 @t90 @t262))
129.01/129.34	(define @t264 () (_ @t80 @t90 @t238))
129.01/129.34	(define @t265 () (forall @t25 (or (not @t264) @t263)))
129.01/129.34	(define @t266 () (not @t265))
129.01/129.34	(define @t267 () (forall @t25 (or (not @t263) @t264)))
129.01/129.34	(define @t268 () (not @t267))
129.01/129.34	(define @t269 () (= @t262 @t238))
129.01/129.34	(define @t270 () (or @t268 @t266 @t269))
129.01/129.34	(define @t271 () (@list false))
129.01/129.34	(define @t272 () (@quantifiers_skolemize @t265 0))
129.01/129.34	(define @t273 () (_ @t78 @t77 @t272))
129.01/129.34	(define @t274 () (_ @t80 @t273 @t238))
129.01/129.34	(define @t275 () (_ @t80 @t273 @t262))
129.01/129.34	(define @t276 () (not @t274))
129.01/129.34	(define @t277 () (or @t276 @t275))
129.01/129.34	(define @t278 () (@list @t237 @t236 @t272))
129.01/129.34	(define @t279 () (_ @t80 @t236 @t272))
129.01/129.34	(define @t280 () (or @t276 @t279))
129.01/129.34	(define @t281 () (_ @t80 @t273 @t237))
129.01/129.34	(define @t282 () (or @t276 @t281))
129.01/129.34	(define @t283 () (not @t279))
129.01/129.34	(define @t284 () (not @t281))
129.01/129.34	(define @t285 () (or @t284 @t283 (= @t272 @t235)))
129.01/129.34	(define @t286 () (= @t235 @t272))
129.01/129.34	(define @t287 () (or @t284 @t283 @t286))
129.01/129.34	(define @t288 () (@list @t235))
129.01/129.34	(define @t289 () (not @t286))
129.01/129.34	(define @t290 () (_ @t80 @t247 @t262))
129.01/129.34	(define @t291 () (not @t290))
129.01/129.34	(define @t292 () (not @t275))
129.01/129.34	(define @t293 () (= false true))
129.01/129.34	(define @t294 () (and @t290 @t286 @t292))
129.01/129.34	(define @t295 () (not @t277))
129.01/129.34	(define @t296 () (not @t269))
129.01/129.34	(define @t297 () (not @t260))
129.01/129.34	(define @t298 () (or @t297 @t296))
129.01/129.34	(define @t299 () (= @t238 @t262))
129.01/129.34	(define @t300 () (not @t299))
129.01/129.34	(define @t301 () (or @t297 @t300))
129.01/129.34	(define @t302 () (@list false false))
129.01/129.34	(define @t303 () (or @t268 @t266 @t299))
129.01/129.34	(define @t304 () (@quantifiers_skolemize @t267 0))
129.01/129.34	(define @t305 () (_ @t78 @t77 @t304))
129.01/129.34	(define @t306 () (_ @t80 @t305 @t238))
129.01/129.34	(define @t307 () (_ @t80 @t305 @t262))
129.01/129.34	(define @t308 () (not @t307))
129.01/129.34	(define @t309 () (or @t308 @t306))
129.01/129.34	(define @t310 () (not @t309))
129.01/129.34	(define @t311 () (@list @t309))
129.01/129.34	(define @t312 () (or @t308 (= @t304 @t235)))
129.01/129.34	(define @t313 () (= @t235 @t304))
129.01/129.34	(define @t314 () (or @t308 @t313))
129.01/129.34	(define @t315 () (not @t313))
129.01/129.34	(define @t316 () (not @t306))
129.01/129.34	(define @t317 () (and @t260 @t313 @t316))
129.01/129.34	(assume @p1 @t17)
129.01/129.34	(assume @p2 @t19)
129.01/129.34	(assume @p3 @t21)
129.01/129.34	(assume @p4 @t32)
129.01/129.34	(assume @p5 @t38)
129.01/129.34	(assume @p6 @t40)
129.01/129.34	(assume @p7 @t55)
129.01/129.34	(assume @p8 true)
129.01/129.34	(step @p9 (= tptp.singleton @t61) :rule refl :args (@t61))
129.01/129.34	(step @p10 (= tptp.ex1 @t65) :rule refl :args (@t65))
129.01/129.34	(step @p11 :rule eq-symm :args (@t70 @t75))
129.01/129.34	(step @p12 :rule cong :premises (@p11) :args (@t76))
129.01/129.34	(step @p13 :rule refl :args (@t81))
129.01/129.34	(step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t82))
129.01/129.34	(step @p15 :rule cong :premises (@p14) :args (@t84))
129.01/129.34	(step @p16 :rule cong :premises (@p15) :args (@t85))
129.01/129.34	(step @p17 :rule refl :args (@t87))
129.01/129.34	(step @p18 :rule refl :args (@t89))
129.01/129.34	(step @p19 :rule refl :args (@t92))
129.01/129.34	(step @p20 :rule nary_cong :premises (@p19 @p18 @p17 @p16) :args (@t93))
129.01/129.34	(step @p21 :rule cong :premises (@p20) :args (@t95))
129.01/129.34	(step @p22 :rule refl :args (@t97))
129.01/129.34	(step @p23 :rule cong :premises (@p22 @p21) :args (@t98))
129.01/129.34	(step @p24 :rule refl :args (@t99))
129.01/129.34	(step @p25 :rule cong :premises (@p24 @p23) :args (@t100))
129.01/129.34	(step @p26 :rule refl :args (@t102))
129.01/129.34	(step @p27 :rule cong :premises (@p26 @p25) :args (@t103))
129.01/129.34	(step @p28 :rule refl :args (@t106))
129.01/129.34	(step @p29 :rule cong :premises (@p28 @p27) :args (@t107))
129.01/129.34	(step @p30 :rule refl :args (@t108))
129.01/129.34	(step @p31 :rule cong :premises (@p30 @p29) :args (@t109))
129.01/129.34	(step @p32 :rule refl :args (@t110))
129.01/129.34	(step @p33 :rule cong :premises (@p32 @p31) :args (@t111))
129.01/129.34	(step @p34 :rule cong :premises (@p33) :args (@t112))
129.01/129.34	; WARNING: add trust step for TRUST
129.01/129.34	; trust TRUST PREPROCESS_HO_ELIM
129.01/129.34	(step @p35 :rule trust :premises () :args ((= (not (=> (forall @t15 (or @t123 @t121 @t134)) (=> (forall @t15 (or @t135 @t122)) (=> (forall @t15 (or @t135 @t120)) (=> (forall @t30 @t133) (=> (forall @t36 (or (not @t127) @t33)) (=> (forall @t4 @t126) @t124))))))) @t112)))
129.01/129.34	(step @p36 :rule refl :args (@t124))
129.01/129.34	(step @p37 :rule aci_norm :args ((= (or false @t126) @t126)))
129.01/129.34	(step @p38 :rule refl :args (@t126))
129.01/129.34	(step @p39 :rule evaluate :args ((not true)))
129.01/129.34	(step @p40 :rule eq-refl :args (@t1))
129.01/129.34	(step @p41 :rule cong :premises (@p40) :args (@t136))
129.01/129.34	(step @p42 :rule trans :premises (@p41 @p39))
129.01/129.34	(step @p43 :rule nary_cong :premises (@p42 @p38) :args (@t137))
129.01/129.34	(step @p44 :rule trans :premises (@p43 @p37))
129.01/129.34	(step @p45 :rule cong :premises (@p44) :args ((forall @t4 @t137)))
129.01/129.34	(step @p46 :rule quant-var-elim-eq :args ((= (forall @t25 @t139) @t137)))
129.01/129.34	(step @p47 :rule aci_norm :args ((= @t140 @t139)))
129.01/129.34	(step @p48 :rule cong :premises (@p47) :args (@t141))
129.01/129.34	(step @p49 :rule trans :premises (@p48 @p46))
129.01/129.34	(step @p50 :rule cong :premises (@p49) :args (@t142))
129.01/129.34	(step @p51 :rule quant-merge-prenex :args ((= @t142 @t143)))
129.01/129.34	(step @p52 :rule symm :premises (@p51))
129.01/129.34	(step @p53 :rule quant_var_reordering :args ((= (forall @t36 @t140) @t143)))
129.01/129.34	(step @p54 :rule trans :premises (@p53 @p52 @p50))
129.01/129.34	(step @p55 :rule trans :premises (@p54 @p45))
129.01/129.34	(step @p56 :rule refl :args ((tptp.in @t9 @t34)))
129.01/129.34	(step @p57 :rule refl :args (@t125))
129.01/129.34	(step @p58 :rule refl :args (@t9))
129.01/129.34	(step @p59 :rule cong :premises (@p58 @p57) :args (@t127))
129.01/129.34	(step @p60 :rule trans :premises (@p59 @p56))
129.01/129.34	(step @p61 :rule refl :args (@t10))
129.01/129.34	(step @p62 :rule ho_cong :premises (@p61 @p57))
129.01/129.34	(step @p63 :rule cong :premises (@p62 @p60) :args ((= (_ @t10 @t125) @t127)))
129.01/129.34	(step @p64 :rule symm :premises (@p63))
129.01/129.34	(step @p65 :rule refl :args (@t35))
129.01/129.34	(step @p66 :rule eq_resolve :premises (@p65 @p64))
129.01/129.34	(step @p67 :rule refl :args (@t34))
129.01/129.34	(step @p68 :rule cong :premises (@p67 @p57) :args ((= @t34 @t125)))
129.01/129.34	(step @p69 :rule symm :premises (@p68))
129.01/129.34	(step @p70 :rule eq_resolve :premises (@p67 @p69))
129.01/129.34	(step @p71 :rule ho_cong :premises (@p61 @p70))
129.01/129.34	(step @p72 :rule trans :premises (@p71 @p66))
129.01/129.34	(step @p73 :rule refl :args (@t138))
129.01/129.34	(step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t144))
129.01/129.34	(step @p75 :rule cong :premises (@p74) :args ((forall @t36 @t144)))
129.01/129.34	(step @p76 :rule trans :premises (@p75 @p55))
129.01/129.34	(step @p77 :rule bool-impl-elim :args (@t33 @t35))
129.01/129.34	(step @p78 :rule cong :premises (@p77) :args (@t39))
129.01/129.34	(step @p79 :rule trans :premises (@p78 @p76))
129.01/129.34	(step @p80 :rule refl :args (tptp.eqinunit))
129.01/129.34	(step @p81 :rule cong :premises (@p80 @p79) :args (@t40))
129.01/129.34	(step @p82 :rule eq_resolve :premises (@p6 @p81))
129.01/129.34	(step @p83 :rule cong :premises (@p82 @p36) :args (@t145))
129.01/129.34	(step @p84 :rule refl :args (@t33))
129.01/129.34	(step @p85 :rule cong :premises (@p72) :args (@t146))
129.01/129.34	(step @p86 :rule nary_cong :premises (@p85 @p84) :args (@t147))
129.01/129.34	(step @p87 :rule cong :premises (@p86) :args ((forall @t36 @t147)))
129.01/129.34	(step @p88 :rule bool-impl-elim :args (@t35 @t33))
129.01/129.34	(step @p89 :rule cong :premises (@p88) :args (@t37))
129.01/129.34	(step @p90 :rule trans :premises (@p89 @p87))
129.01/129.34	(step @p91 :rule refl :args (tptp.uniqinunit))
129.01/129.34	(step @p92 :rule cong :premises (@p91 @p90) :args (@t38))
129.01/129.34	(step @p93 :rule eq_resolve :premises (@p5 @p92))
129.01/129.34	(step @p94 :rule cong :premises (@p93 @p83) :args (@t148))
129.01/129.34	(step @p95 :rule aci_norm :args ((= (or @t132 (or @t130 @t23)) @t133)))
129.01/129.34	(step @p96 :rule bool-impl-elim :args (@t129 @t23))
129.01/129.34	(step @p97 :rule refl :args (@t132))
129.01/129.34	(step @p98 :rule nary_cong :premises (@p97 @p96) :args ((or @t132 @t149)))
129.01/129.34	(step @p99 :rule trans :premises (@p98 @p95))
129.01/129.34	(step @p100 :rule bool-impl-elim :args (@t131 @t149))
129.01/129.34	(step @p101 :rule trans :premises (@p100 @p99))
129.01/129.34	(step @p102 :rule cong :premises (@p101) :args ((forall @t30 (=> @t131 @t149))))
129.01/129.34	(step @p103 :rule refl :args (@t23))
129.01/129.34	(step @p104 :rule refl :args (@t122))
129.01/129.34	(step @p105 :rule refl :args (@t14))
129.01/129.34	(step @p106 :rule cong :premises (@p105 @p104) :args ((= @t14 @t122)))
129.01/129.34	(step @p107 :rule symm :premises (@p106))
129.01/129.34	(step @p108 :rule eq_resolve :premises (@p105 @p107))
129.01/129.34	(step @p109 :rule refl :args (@t128))
129.01/129.34	(step @p110 :rule refl :args (@t24))
129.01/129.34	(step @p111 :rule cong :premises (@p110 @p109) :args ((= @t24 @t128)))
129.01/129.34	(step @p112 :rule symm :premises (@p111))
129.01/129.34	(step @p113 :rule eq_resolve :premises (@p110 @p112))
129.01/129.34	(step @p114 :rule cong :premises (@p113) :args (@t150))
129.01/129.34	(step @p115 :rule nary_cong :premises (@p114 @p108) :args (@t151))
129.01/129.34	(step @p116 :rule cong :premises (@p115) :args ((forall @t25 @t151)))
129.01/129.34	(step @p117 :rule bool-impl-elim :args (@t24 @t14))
129.01/129.34	(step @p118 :rule cong :premises (@p117) :args (@t26))
129.01/129.34	(step @p119 :rule trans :premises (@p118 @p116))
129.01/129.34	(step @p120 :rule cong :premises (@p119 @p103) :args (@t27))
129.01/129.34	(step @p121 :rule cong :premises (@p108) :args (@t152))
129.01/129.34	(step @p122 :rule nary_cong :premises (@p121 @p113) :args (@t153))
129.01/129.34	(step @p123 :rule cong :premises (@p122) :args ((forall @t25 @t153)))
129.01/129.34	(step @p124 :rule bool-impl-elim :args (@t14 @t24))
129.01/129.34	(step @p125 :rule cong :premises (@p124) :args (@t28))
129.01/129.34	(step @p126 :rule trans :premises (@p125 @p123))
129.01/129.34	(step @p127 :rule cong :premises (@p126 @p120) :args (@t29))
129.01/129.34	(step @p128 :rule cong :premises (@p127) :args (@t31))
129.01/129.34	(step @p129 :rule trans :premises (@p128 @p102))
129.01/129.34	(step @p130 :rule refl :args (tptp.setext))
129.01/129.34	(step @p131 :rule cong :premises (@p130 @p129) :args (@t32))
129.01/129.34	(step @p132 :rule eq_resolve :premises (@p4 @p131))
129.01/129.34	(step @p133 :rule cong :premises (@p132 @p94) :args (@t154))
129.01/129.34	(step @p134 :rule refl :args (@t120))
129.01/129.34	(step @p135 :rule lambda-elim :args ((= @t155 @t2)))
129.01/129.34	(step @p136 :rule refl :args (@t6))
129.01/129.34	(step @p137 :rule cong :premises (@p136 @p135) :args (@t156))
129.01/129.34	(step @p138 :rule refl :args (@t9))
129.01/129.34	(step @p139 :rule cong :premises (@p138 @p137) :args (@t157))
129.01/129.34	(step @p140 :rule cong :premises (@p139) :args (@t158))
129.01/129.34	(step @p141 :rule nary_cong :premises (@p140 @p134) :args (@t159))
129.01/129.34	(step @p142 :rule cong :premises (@p141) :args ((forall @t15 @t159)))
129.01/129.34	(step @p143 :rule refl :args (@t120))
129.01/129.34	(step @p144 :rule refl :args (@t12))
129.01/129.34	(step @p145 :rule cong :premises (@p144 @p143) :args ((= @t12 @t120)))
129.01/129.34	(step @p146 :rule symm :premises (@p145))
129.01/129.34	(step @p147 :rule eq_resolve :premises (@p144 @p146))
129.01/129.34	(step @p148 :rule refl :args ((tptp.in @t9 @t8)))
129.01/129.34	(step @p149 :rule refl :args (@t160))
129.01/129.34	(step @p150 :rule refl :args (@t116))
129.01/129.34	(step @p151 :rule cong :premises (@p150) :args (@t155))
129.01/129.34	(step @p152 :rule refl :args (@t6))
129.01/129.34	(step @p153 :rule cong :premises (@p152 @p151) :args (@t156))
129.01/129.34	(step @p154 :rule trans :premises (@p153 @p149))
129.01/129.34	(step @p155 :rule cong :premises (@p58 @p154) :args (@t157))
129.01/129.34	(step @p156 :rule trans :premises (@p155 @p148))
129.01/129.34	(step @p157 :rule ho_cong :premises (@p61 @p154))
129.01/129.34	(step @p158 :rule cong :premises (@p157 @p156) :args ((= (_ @t10 @t156) @t157)))
129.01/129.34	(step @p159 :rule symm :premises (@p158))
129.01/129.34	(step @p160 :rule refl :args (@t11))
129.01/129.34	(step @p161 :rule eq_resolve :premises (@p160 @p159))
129.01/129.34	(step @p162 :rule refl :args (@t7))
129.01/129.34	(step @p163 :rule ho_cong :premises (@p162 @p151))
129.01/129.34	(step @p164 :rule cong :premises (@p163 @p154) :args ((= (_ @t7 @t155) @t156)))
129.01/129.34	(step @p165 :rule symm :premises (@p164))
129.01/129.34	(step @p166 :rule refl :args (@t8))
129.01/129.34	(step @p167 :rule eq_resolve :premises (@p166 @p165))
129.01/129.34	(step @p168 :rule refl :args (@t3))
129.01/129.34	(step @p169 :rule cong :premises (@p168 @p150) :args ((= @t3 @t116)))
129.01/129.34	(step @p170 :rule symm :premises (@p169))
129.01/129.34	(step @p171 :rule eq_resolve :premises (@p168 @p170))
129.01/129.34	(step @p172 :rule cong :premises (@p171) :args (@t5))
129.01/129.34	(step @p173 :rule ho_cong :premises (@p162 @p172))
129.01/129.34	(step @p174 :rule trans :premises (@p173 @p167))
129.01/129.34	(step @p175 :rule ho_cong :premises (@p61 @p174))
129.01/129.34	(step @p176 :rule trans :premises (@p175 @p161))
129.01/129.34	(step @p177 :rule cong :premises (@p176) :args (@t161))
129.01/129.34	(step @p178 :rule nary_cong :premises (@p177 @p147) :args (@t162))
129.01/129.34	(step @p179 :rule cong :premises (@p178) :args ((forall @t15 @t162)))
129.01/129.34	(step @p180 :rule trans :premises (@p179 @p142))
129.01/129.34	(step @p181 :rule bool-impl-elim :args (@t11 @t12))
129.01/129.34	(step @p182 :rule cong :premises (@p181) :args (@t20))
129.01/129.34	(step @p183 :rule trans :premises (@p182 @p180))
129.01/129.34	(step @p184 :rule refl :args (tptp.dsetconstrER))
129.01/129.34	(step @p185 :rule cong :premises (@p184 @p183) :args (@t21))
129.01/129.34	(step @p186 :rule eq_resolve :premises (@p3 @p185))
129.01/129.34	(step @p187 :rule cong :premises (@p186 @p133) :args (@t163))
129.01/129.34	(step @p188 :rule refl :args (@t122))
129.01/129.34	(step @p189 :rule nary_cong :premises (@p140 @p188) :args (@t164))
129.01/129.34	(step @p190 :rule cong :premises (@p189) :args ((forall @t15 @t164)))
129.01/129.34	(step @p191 :rule nary_cong :premises (@p177 @p108) :args (@t165))
129.01/129.34	(step @p192 :rule cong :premises (@p191) :args ((forall @t15 @t165)))
129.01/129.34	(step @p193 :rule trans :premises (@p192 @p190))
129.01/129.34	(step @p194 :rule bool-impl-elim :args (@t11 @t14))
129.01/129.34	(step @p195 :rule cong :premises (@p194) :args (@t18))
129.01/129.34	(step @p196 :rule trans :premises (@p195 @p193))
129.01/129.34	(step @p197 :rule refl :args (tptp.dsetconstrEL))
129.01/129.34	(step @p198 :rule cong :premises (@p197 @p196) :args (@t19))
129.01/129.34	(step @p199 :rule eq_resolve :premises (@p2 @p198))
129.01/129.34	(step @p200 :rule cong :premises (@p199 @p187) :args (@t166))
129.01/129.34	(step @p201 :rule refl :args (@t121))
129.01/129.34	(step @p202 :rule refl :args (@t123))
129.01/129.34	(step @p203 :rule nary_cong :premises (@p202 @p201 @p139) :args (@t167))
129.01/129.34	(step @p204 :rule cong :premises (@p203) :args ((forall @t15 @t167)))
129.01/129.34	(step @p205 :rule cong :premises (@p147) :args (@t168))
129.01/129.34	(step @p206 :rule nary_cong :premises (@p121 @p205 @p176) :args (@t169))
129.01/129.34	(step @p207 :rule cong :premises (@p206) :args ((forall @t15 @t169)))
129.01/129.34	(step @p208 :rule trans :premises (@p207 @p204))
129.01/129.34	(step @p209 :rule aci_norm :args ((= (or @t152 (or @t168 @t11)) @t169)))
129.01/129.34	(step @p210 :rule bool-impl-elim :args (@t12 @t11))
129.01/129.34	(step @p211 :rule refl :args (@t152))
129.01/129.34	(step @p212 :rule nary_cong :premises (@p211 @p210) :args ((or @t152 @t13)))
129.01/129.34	(step @p213 :rule trans :premises (@p212 @p209))
129.01/129.34	(step @p214 :rule bool-impl-elim :args (@t14 @t13))
129.01/129.34	(step @p215 :rule trans :premises (@p214 @p213))
129.01/129.34	(step @p216 :rule cong :premises (@p215) :args (@t16))
129.01/129.34	(step @p217 :rule trans :premises (@p216 @p208))
129.01/129.34	(step @p218 :rule refl :args (tptp.dsetconstrI))
129.01/129.34	(step @p219 :rule cong :premises (@p218 @p217) :args (@t17))
129.01/129.34	(step @p220 :rule eq_resolve :premises (@p1 @p219))
129.01/129.34	(step @p221 :rule cong :premises (@p220 @p200) :args (@t170))
129.01/129.34	(step @p222 :rule cong :premises (@p221) :args ((not @t170)))
129.01/129.34	(step @p223 :rule eq-symm :args (@t113 @t114))
129.01/129.34	(step @p224 :rule cong :premises (@p223) :args (@t171))
129.01/129.34	(step @p225 :rule refl :args (@t115))
129.01/129.34	(step @p226 :rule nary_cong :premises (@p225 @p224) :args (@t172))
129.01/129.34	(step @p227 :rule cong :premises (@p226) :args (@t173))
129.01/129.34	(step @p228 :rule cong :premises (@p227) :args (@t174))
129.01/129.34	(step @p229 :rule refl :args (@t119))
129.01/129.34	(step @p230 :rule nary_cong :premises (@p202 @p201 @p229 @p228) :args (@t175))
129.01/129.34	(step @p231 :rule cong :premises (@p230) :args ((forall @t15 @t175)))
129.01/129.34	(step @p232 :rule alpha_equiv :args (@t177 @t178 (@list @t71)))
129.01/129.34	(step @p233 :rule cong :premises (@p232) :args (@t179))
129.01/129.34	(step @p234 :rule refl :args (@t119))
129.01/129.34	(step @p235 :rule nary_cong :premises (@p121 @p205 @p234 @p233) :args (@t180))
129.01/129.34	(step @p236 :rule cong :premises (@p235) :args ((forall @t15 @t180)))
129.01/129.34	(step @p237 :rule trans :premises (@p236 @p231))
129.01/129.34	(step @p238 :rule aci_norm :args ((= (or @t152 @t181) @t180)))
129.01/129.34	(step @p239 :rule aci_norm :args ((= (or @t168 (or @t119 @t179)) @t181)))
129.01/129.34	(step @p240 :rule bool-impl-elim :args (@t118 @t179))
129.01/129.34	(step @p241 :rule refl :args (@t168))
129.01/129.34	(step @p242 :rule nary_cong :premises (@p241 @p240) :args ((or @t168 @t182)))
129.01/129.34	(step @p243 :rule trans :premises (@p242 @p239))
129.01/129.34	(step @p244 :rule bool-impl-elim :args (@t12 @t182))
129.01/129.34	(step @p245 :rule trans :premises (@p244 @p243))
129.01/129.34	(step @p246 :rule nary_cong :premises (@p211 @p245) :args ((or @t152 @t183)))
129.01/129.34	(step @p247 :rule trans :premises (@p246 @p238))
129.01/129.34	(step @p248 :rule bool-impl-elim :args (@t14 @t183))
129.01/129.34	(step @p249 :rule trans :premises (@p248 @p247))
129.01/129.34	(step @p250 :rule cong :premises (@p249) :args ((forall @t15 (=> @t14 @t183))))
129.01/129.34	(step @p251 :rule trans :premises (@p250 @p237))
129.01/129.34	(step @p252 :rule refl :args (@t176))
129.01/129.34	(step @p253 :rule cong :premises (@p252 @p137) :args (@t184))
129.01/129.34	(step @p254 :rule cong :premises (@p253) :args (@t185))
129.01/129.34	(step @p255 :rule nary_cong :premises (@p140 @p254) :args (@t186))
129.01/129.34	(step @p256 :rule cong :premises (@p255) :args ((forall @t25 @t186)))
129.01/129.34	(step @p257 :rule cong :premises (@p152 @p172) :args (@t160))
129.01/129.34	(step @p258 :rule refl :args (@t176))
129.01/129.34	(step @p259 :rule cong :premises (@p258 @p257) :args (@t187))
129.01/129.34	(step @p260 :rule cong :premises (@p259) :args (@t188))
129.01/129.34	(step @p261 :rule cong :premises (@p58 @p257) :args (@t189))
129.01/129.34	(step @p262 :rule cong :premises (@p261) :args (@t190))
129.01/129.34	(step @p263 :rule nary_cong :premises (@p262 @p260) :args (@t191))
129.01/129.34	(step @p264 :rule cong :premises (@p263) :args (@t192))
129.01/129.34	(step @p265 :rule trans :premises (@p264 @p256))
129.01/129.34	(step @p266 :rule cong :premises (@p265) :args (@t193))
129.01/129.34	(step @p267 :rule beta-reduce :args ((= (_ @t194 @t5) @t193)))
129.01/129.34	(step @p268 :rule trans :premises (@p267 @p266))
129.01/129.34	(step @p269 :rule refl :args (@t5))
129.01/129.34	(step @p270 :rule beta-reduce :args ((= @t195 @t194)))
129.01/129.34	(step @p271 :rule ho_cong :premises (@p270 @p269))
129.01/129.34	(step @p272 :rule trans :premises (@p271 @p268))
129.01/129.34	(step @p273 :rule cong :premises (@p171) :args (@t196))
129.01/129.34	(step @p274 :rule refl :args (@t117))
129.01/129.34	(step @p275 :rule refl :args (@t42))
129.01/129.34	(step @p276 :rule cong :premises (@p275 @p274) :args ((= @t42 @t117)))
129.01/129.34	(step @p277 :rule symm :premises (@p276))
129.01/129.34	(step @p278 :rule eq_resolve :premises (@p275 @p277))
129.01/129.34	(step @p279 :rule cong :premises (@p278) :args (@t197))
129.01/129.34	(step @p280 :rule nary_cong :premises (@p279 @p273 @p84) :args (@t198))
129.01/129.34	(step @p281 :rule cong :premises (@p280) :args ((forall @t4 @t198)))
129.01/129.34	(step @p282 :rule aci_norm :args ((= (or @t197 (or @t196 @t33)) @t198)))
129.01/129.34	(step @p283 :rule bool-impl-elim :args (@t3 @t33))
129.01/129.34	(step @p284 :rule refl :args (@t197))
129.01/129.34	(step @p285 :rule nary_cong :premises (@p284 @p283) :args ((or @t197 @t199)))
129.01/129.34	(step @p286 :rule trans :premises (@p285 @p282))
129.01/129.34	(step @p287 :rule bool-impl-elim :args (@t42 @t199))
129.01/129.34	(step @p288 :rule trans :premises (@p287 @p286))
129.01/129.34	(step @p289 :rule cong :premises (@p288) :args ((forall @t4 (=> @t42 @t199))))
129.01/129.34	(step @p290 :rule trans :premises (@p289 @p281))
129.01/129.34	(step @p291 :rule eq-symm :args (@t1 @t9))
129.01/129.34	(step @p292 :rule refl :args (@t3))
129.01/129.34	(step @p293 :rule cong :premises (@p292 @p291) :args (@t41))
129.01/129.34	(step @p294 :rule refl :args (@t42))
129.01/129.34	(step @p295 :rule cong :premises (@p294 @p293) :args (@t43))
129.01/129.34	(step @p296 :rule cong :premises (@p295) :args (@t44))
129.01/129.34	(step @p297 :rule trans :premises (@p296 @p290))
129.01/129.34	(step @p298 :rule cong :premises (@p297 @p272) :args (@t200))
129.01/129.34	(step @p299 :rule refl :args (@t12))
129.01/129.34	(step @p300 :rule cong :premises (@p299 @p298) :args (@t201))
129.01/129.34	(step @p301 :rule refl :args (@t14))
129.01/129.34	(step @p302 :rule cong :premises (@p301 @p300) :args (@t202))
129.01/129.34	(step @p303 :rule cong :premises (@p302) :args (@t203))
129.01/129.34	(step @p304 :rule trans :premises (@p303 @p251))
129.01/129.34	(step @p305 :rule cong :premises (@p80 @p304) :args (@t204))
129.01/129.34	(step @p306 :rule cong :premises (@p91 @p305) :args (@t205))
129.01/129.34	(step @p307 :rule cong :premises (@p130 @p306) :args (@t206))
129.01/129.34	(step @p308 :rule cong :premises (@p184 @p307) :args (@t207))
129.01/129.34	(step @p309 :rule cong :premises (@p197 @p308) :args (@t208))
129.01/129.34	(step @p310 :rule cong :premises (@p218 @p309) :args (@t209))
129.01/129.34	(step @p311 :rule cong :premises (@p310) :args ((not @t209)))
129.01/129.34	(step @p312 :rule lambda-elim :args ((= @t213 @t2)))
129.01/129.34	(step @p313 :rule cong :premises (@p136 @p312) :args (@t214))
129.01/129.34	(step @p314 :rule cong :premises (@p252 @p313) :args (@t215))
129.01/129.34	(step @p315 :rule cong :premises (@p314) :args (@t216))
129.01/129.34	(step @p316 :rule cong :premises (@p138 @p313) :args (@t217))
129.01/129.34	(step @p317 :rule cong :premises (@p316) :args (@t218))
129.01/129.34	(step @p318 :rule nary_cong :premises (@p317 @p315) :args (@t219))
129.01/129.34	(step @p319 :rule cong :premises (@p318) :args ((forall @t25 @t219)))
129.01/129.34	(step @p320 :rule refl :args ((tptp.dsetconstr @t6 @t220)))
129.01/129.34	(step @p321 :rule refl :args (@t211))
129.01/129.34	(step @p322 :rule cong :premises (@p321) :args (@t213))
129.01/129.34	(step @p323 :rule cong :premises (@p152 @p322) :args (@t214))
129.01/129.34	(step @p324 :rule trans :premises (@p323 @p320))
129.01/129.34	(step @p325 :rule ho_cong :premises (@p162 @p322))
129.01/129.34	(step @p326 :rule cong :premises (@p325 @p324) :args ((= (_ @t7 @t213) @t214)))
129.01/129.34	(step @p327 :rule symm :premises (@p326))
129.01/129.34	(step @p328 :rule refl :args ((_ @t7 @t220)))
129.01/129.34	(step @p329 :rule eq_resolve :premises (@p328 @p327))
129.01/129.34	(step @p330 :rule alpha_equiv :args ((lambda @t25 @t120) @t178 (@list @t210)))
129.01/129.34	(step @p331 :rule cong :premises (@p147) :args (@t62))
129.01/129.34	(step @p332 :rule trans :premises (@p331 @p330))
129.01/129.34	(step @p333 :rule ho_cong :premises (@p162 @p332))
129.01/129.34	(step @p334 :rule trans :premises (@p333 @p329))
129.01/129.34	(step @p335 :rule cong :premises (@p258 @p334) :args (@t221))
129.01/129.34	(step @p336 :rule cong :premises (@p335) :args (@t222))
129.01/129.34	(step @p337 :rule cong :premises (@p58 @p334) :args (@t223))
129.01/129.34	(step @p338 :rule cong :premises (@p337) :args (@t224))
129.01/129.34	(step @p339 :rule nary_cong :premises (@p338 @p336) :args (@t225))
129.01/129.34	(step @p340 :rule cong :premises (@p339) :args ((forall @t25 @t225)))
129.01/129.34	(step @p341 :rule trans :premises (@p340 @p319))
129.01/129.34	(step @p342 :rule eq-symm :args (@t63 @t176))
129.01/129.34	(step @p343 :rule cong :premises (@p342) :args (@t226))
129.01/129.34	(step @p344 :rule refl :args (@t224))
129.01/129.34	(step @p345 :rule nary_cong :premises (@p344 @p343) :args (@t227))
129.01/129.34	(step @p346 :rule cong :premises (@p345) :args (@t228))
129.01/129.34	(step @p347 :rule trans :premises (@p346 @p341))
129.01/129.34	(step @p348 :rule cong :premises (@p347) :args (@t229))
129.01/129.34	(step @p349 :rule beta-reduce :args ((= (_ (lambda @t60 (not (forall @t25 (or @t123 (not (= @t6 @t176)))))) @t63) @t229)))
129.01/129.34	(step @p350 :rule trans :premises (@p349 @p348))
129.01/129.34	(step @p351 :rule refl :args (@t63))
129.01/129.34	(step @p352 :rule refl :args (@t176))
129.01/129.34	(step @p353 :rule refl :args (@t56))
129.01/129.34	(step @p354 :rule cong :premises (@p353 @p352) :args ((= @t56 @t176)))
129.01/129.34	(step @p355 :rule symm :premises (@p354))
129.01/129.34	(step @p356 :rule eq_resolve :premises (@p353 @p355))
129.01/129.34	(step @p357 :rule cong :premises (@p152 @p356) :args (@t57))
129.01/129.34	(step @p358 :rule cong :premises (@p357) :args (@t230))
129.01/129.34	(step @p359 :rule nary_cong :premises (@p121 @p358) :args (@t231))
129.01/129.34	(step @p360 :rule cong :premises (@p359) :args ((forall @t25 @t231)))
129.01/129.34	(step @p361 :rule bool-and-de-morgan :args (@t14 @t57 true))
129.01/129.34	(step @p362 :rule cong :premises (@p361) :args (@t232))
129.01/129.34	(step @p363 :rule trans :premises (@p362 @p360))
129.01/129.34	(step @p364 :rule cong :premises (@p363) :args (@t233))
129.01/129.34	(step @p365 :rule exists-elim :args ((= @t59 @t233)))
129.01/129.34	(step @p366 :rule trans :premises (@p365 @p364))
129.01/129.34	(step @p367 :rule cong :premises (@p366) :args (@t61))
129.01/129.34	(step @p368 :rule trans :premises (@p9 @p367))
129.01/129.34	(step @p369 :rule ho_cong :premises (@p368 @p351))
129.01/129.34	(step @p370 :rule trans :premises (@p369 @p350))
129.01/129.34	(step @p371 :rule cong :premises (@p370) :args (@t65))
129.01/129.34	(step @p372 :rule trans :premises (@p10 @p371))
129.01/129.34	(step @p373 :rule ho_cong :premises (@p372 @p136))
129.01/129.34	(step @p374 :rule ho_cong :premises (@p373 @p269))
129.01/129.34	(step @p375 :rule refl :args (@t44))
129.01/129.34	(step @p376 :rule cong :premises (@p375 @p374) :args (@t45))
129.01/129.34	(step @p377 :rule cong :premises (@p299 @p376) :args (@t46))
129.01/129.34	(step @p378 :rule cong :premises (@p301 @p377) :args (@t47))
129.01/129.34	(step @p379 :rule cong :premises (@p378) :args (@t48))
129.01/129.34	(step @p380 :rule cong :premises (@p80 @p379) :args (@t49))
129.01/129.34	(step @p381 :rule cong :premises (@p91 @p380) :args (@t50))
129.01/129.34	(step @p382 :rule cong :premises (@p130 @p381) :args (@t51))
129.01/129.34	(step @p383 :rule cong :premises (@p184 @p382) :args (@t52))
129.01/129.34	(step @p384 :rule cong :premises (@p197 @p383) :args (@t53))
129.01/129.34	(step @p385 :rule cong :premises (@p218 @p384) :args (@t54))
129.01/129.34	(step @p386 :rule cong :premises (@p385) :args (@t55))
129.01/129.34	(step @p387 :rule trans :premises (@p386 @p311))
129.01/129.34	(step @p388 :rule trans :premises (@p387 @p222 @p35 @p34))
129.01/129.34	(step @p389 :rule eq_resolve :premises (@p7 @p388))
129.01/129.34	(step @p390 :rule not_implies_elim1 :premises (@p389))
129.01/129.34	(step @p391 :rule instantiate :premises (@p390) :args ((@list @t237 @t236 @t235)))
129.01/129.34	(step @p392 :rule not_implies_elim2 :premises (@p389))
129.01/129.34	(step @p393 :rule not_implies_elim2 :premises (@p392))
129.01/129.34	(step @p394 :rule not_implies_elim2 :premises (@p393))
129.01/129.34	(step @p395 :rule not_implies_elim2 :premises (@p394))
129.01/129.34	(step @p396 :rule not_implies_elim2 :premises (@p395))
129.01/129.34	(step @p397 :rule not_implies_elim2 :premises (@p396))
129.01/129.34	(step @p398 :rule refl :args (@t251))
129.01/129.34	(step @p399 :rule bool-double-not-elim :args (@t234))
129.01/129.34	(step @p400 :rule nary_cong :premises (@p399 @p398) :args ((or (not @t252) @t251)))
129.01/129.34	(step @p401 :rule refl :args (@t240))
129.01/129.34	(step @p402 :rule eq-symm :args (@t235 @t1))
129.01/129.34	(step @p403 :rule refl :args (@t241))
129.01/129.34	(step @p404 :rule refl :args (@t242))
129.01/129.34	(step @p405 :rule nary_cong :premises (@p404 @p403 @p402) :args (@t253))
129.01/129.34	(step @p406 :rule cong :premises (@p405) :args (@t254))
129.01/129.34	(step @p407 :rule cong :premises (@p406) :args (@t255))
129.01/129.34	(step @p408 :rule refl :args (@t246))
129.01/129.34	(step @p409 :rule refl :args (@t249))
129.01/129.34	(step @p410 :rule nary_cong :premises (@p409 @p408 @p407 @p401) :args (@t256))
129.01/129.34	(step @p411 :rule cong :premises (@p410) :args (@t257))
129.01/129.34	(step @p412 :rule refl :args (@t252))
129.01/129.34	(step @p413 :rule cong :premises (@p412 @p411) :args ((=> @t252 @t257)))
129.01/129.34	(assume-push @p627 @t252)
129.01/129.34	(step @p415 :rule skolemize :premises (@p397))
129.01/129.34	(step-pop @p627 :rule scope :premises (@p415))
129.01/129.34	(step @p416 :rule process_scope :premises (@p627) :args (@t257))
129.01/129.34	(step @p418 :rule eq_resolve :premises (@p416 @p413))
129.01/129.34	(step @p419 :rule implies_elim :premises (@p418))
129.01/129.34	(step @p420 :rule eq_resolve :premises (@p419 @p400))
129.01/129.34	(step @p421 :rule chain_resolution :premises (@p420 @p397) :args (@t258 (@list @t234)))
129.01/129.34	(step @p422 :rule bool-double-not-elim :args (@t245))
129.01/129.34	(step @p423 :rule refl :args (@t250))
129.01/129.34	(step @p424 :rule nary_cong :premises (@p423 @p422) :args ((or @t250 (not @t246))))
129.01/129.34	(step @p425 :rule cnf_or_neg :args (@t250 1))
129.01/129.34	(step @p426 :rule eq_resolve :premises (@p425 @p424))
129.01/129.34	(step @p427 :rule reordering :premises (@p426) :args ((or @t245 @t250)))
129.01/129.34	(step @p428 :rule chain_resolution :premises (@p427 @p421) :args (@t258 @t259))
129.01/129.34	(step @p429 :rule bool-double-not-elim :args (@t248))
129.01/129.34	(step @p430 :rule nary_cong :premises (@p423 @p429) :args ((or @t250 (not @t249))))
129.01/129.34	(step @p431 :rule cnf_or_neg :args (@t250 0))
129.01/129.34	(step @p432 :rule eq_resolve :premises (@p431 @p430))
129.01/129.34	(step @p433 :rule reordering :premises (@p432) :args ((or @t248 @t250)))
129.01/129.34	(step @p434 :rule chain_resolution :premises (@p433 @p421) :args (@t258 @t259))
129.01/129.34	(step @p435 :rule cnf_or_pos :args (@t261))
129.01/129.34	(step @p436 :rule reordering :premises (@p435) :args ((or @t249 @t246 @t260 (not @t261))))
129.01/129.34	(step @p437 :rule chain_resolution :premises (@p436 @p434 @p428 @p391) :args ((@list false false false) (@list @t248 @t245 @t261)))
129.01/129.34	(step @p438 :rule not_implies_elim1 :premises (@p394))
129.01/129.34	(step @p439 :rule eq-symm :args (@t262 @t238))
129.01/129.34	(step @p440 :rule refl :args (@t266))
129.01/129.34	(step @p441 :rule refl :args (@t268))
129.01/129.34	(step @p442 :rule nary_cong :premises (@p441 @p440 @p439) :args (@t270))
129.01/129.34	(step @p443 :rule cong :premises (@p26 @p442) :args ((=> @t102 @t270)))
129.01/129.34	(assume-push @p629 @t102)
129.01/129.34	(step @p445 :rule instantiate :premises (@p438) :args ((@list @t262 @t238)))
129.01/129.34	(step-pop @p629 :rule scope :premises (@p445))
129.01/129.34	(step @p446 :rule process_scope :premises (@p629) :args (@t270))
129.01/129.34	(step @p448 :rule eq_resolve :premises (@p446 @p443))
129.01/129.34	(step @p449 :rule implies_elim :premises (@p448))
129.01/129.34	(step @p450 :rule chain_resolution :premises (@p449 @p438) :args (@t271 (@list @t102)))
129.01/129.34	(step @p451 :rule bool-double-not-elim :args (@t274))
129.01/129.34	(step @p452 :rule refl :args (@t277))
129.01/129.34	(step @p453 :rule nary_cong :premises (@p452 @p451) :args ((or @t277 (not @t276))))
129.01/129.34	(step @p454 :rule cnf_or_neg :args (@t277 0))
129.01/129.34	(step @p455 :rule eq_resolve :premises (@p454 @p453))
129.01/129.34	(step @p456 :rule reordering :premises (@p455) :args ((or @t274 @t277)))
129.01/129.34	(step @p457 :rule cnf_or_neg :args (@t277 1))
129.01/129.34	(step @p458 :rule not_implies_elim1 :premises (@p393))
129.01/129.34	(step @p459 :rule instantiate :premises (@p458) :args (@t278))
129.01/129.34	(step @p460 :rule cnf_or_pos :args (@t280))
129.01/129.34	(step @p461 :rule reordering :premises (@p460) :args ((or @t276 @t279 (not @t280))))
129.01/129.34	(step @p462 :rule not_implies_elim1 :premises (@p392))
129.01/129.34	(step @p463 :rule instantiate :premises (@p462) :args (@t278))
129.01/129.34	(step @p464 :rule cnf_or_pos :args (@t282))
129.01/129.34	(step @p465 :rule reordering :premises (@p464) :args ((or @t276 @t281 (not @t282))))
129.01/129.34	(step @p466 :rule bool-double-not-elim :args (@t243))
129.01/129.34	(step @p467 :rule nary_cong :premises (@p423 @p466) :args ((or @t250 (not @t244))))
129.01/129.34	(step @p468 :rule cnf_or_neg :args (@t250 2))
129.01/129.34	(step @p469 :rule eq_resolve :premises (@p468 @p467))
129.01/129.34	(step @p470 :rule reordering :premises (@p469) :args ((or @t243 @t250)))
129.01/129.34	(step @p471 :rule chain_resolution :premises (@p470 @p421) :args (@t258 @t259))
129.01/129.34	(step @p472 :rule eq-symm :args (@t272 @t235))
129.01/129.34	(step @p473 :rule refl :args (@t283))
129.01/129.34	(step @p474 :rule refl :args (@t284))
129.01/129.34	(step @p475 :rule nary_cong :premises (@p474 @p473 @p472) :args (@t285))
129.01/129.34	(step @p476 :rule refl :args (@t243))
129.01/129.34	(step @p477 :rule cong :premises (@p476 @p475) :args ((=> @t243 @t285)))
129.01/129.34	(assume-push @p631 @t243)
129.01/129.34	(step @p479 :rule instantiate :premises (@p471) :args ((@list @t272)))
129.01/129.34	(step-pop @p631 :rule scope :premises (@p479))
129.01/129.34	(step @p480 :rule process_scope :premises (@p631) :args (@t285))
129.01/129.34	(step @p482 :rule eq_resolve :premises (@p480 @p477))
129.01/129.34	(step @p483 :rule implies_elim :premises (@p482))
129.01/129.34	(step @p484 :rule chain_resolution :premises (@p483 @p471) :args (@t271 (@list @t243)))
129.01/129.34	(step @p485 :rule cnf_or_pos :args (@t287))
129.01/129.34	(step @p486 :rule reordering :premises (@p485) :args ((or @t284 @t283 @t286 (not @t287))))
129.01/129.34	(step @p487 :rule not_implies_elim1 :premises (@p396))
129.01/129.34	(step @p488 :rule instantiate :premises (@p487) :args (@t288))
129.01/129.34	(step @p489 :rule refl :args (@t289))
129.01/129.34	(step @p490 :rule bool-double-not-elim :args (@t275))
129.01/129.34	(step @p491 :rule refl :args (@t291))
129.01/129.34	(step @p492 :rule nary_cong :premises (@p491 @p490 @p489) :args ((or @t291 (not @t292) @t289)))
129.01/129.34	(assume-push @p633 @t290)
129.01/129.34	(assume-push @p634 @t286)
129.01/129.34	(assume-push @p635 @t292)
129.01/129.34	(step @p496 :rule evaluate :args (@t293))
129.01/129.34	(step @p497 :rule true_intro :premises (@p488))
129.01/129.34	(step @p498 :rule refl :args (@t262))
129.01/129.34	(step @p499 :rule symm :premises (@p634))
129.01/129.34	(step @p500 :rule refl :args (@t77))
129.01/129.34	(step @p501 :rule cong :premises (@p500 @p499) :args (@t273))
129.01/129.34	(step @p502 :rule cong :premises (@p501 @p498) :args (@t275))
129.01/129.34	(step @p503 :rule false_intro :premises (@p635))
129.01/129.34	(step @p504 :rule symm :premises (@p503))
129.01/129.34	(step @p505 :rule trans :premises (@p504 @p502 @p497))
129.01/129.34	(step @p506 false :rule eq_resolve :premises (@p505 @p496))
129.01/129.34	(step-pop @p635 :rule scope :premises (@p506))
129.01/129.34	(step-pop @p636 :rule scope :premises (@p635))
129.01/129.34	(step-pop @p637 :rule scope :premises (@p636))
129.01/129.34	(step @p507 :rule process_scope :premises (@p637) :args (false))
129.01/129.34	(assume-push @p639 @t290)
129.01/129.34	(assume-push @p640 @t292)
129.01/129.34	(assume-push @p641 @t286)
129.01/129.34	(step @p514 :rule and_intro :premises (@p488 @p641 @p640))
129.01/129.34	(step-pop @p641 :rule scope :premises (@p514))
129.01/129.34	(step-pop @p642 :rule scope :premises (@p641))
129.01/129.34	(step-pop @p643 :rule scope :premises (@p642))
129.01/129.34	(step @p515 :rule process_scope :premises (@p643) :args (@t294))
129.01/129.34	(step @p519 :rule implies_elim :premises (@p515))
129.01/129.34	(step @p520 :rule resolution :premises (@p519 @p507) :args (true @t294))
129.01/129.34	(step @p521 :rule not_and :premises (@p520))
129.01/129.34	(step @p522 :rule eq_resolve :premises (@p521 @p492))
129.01/129.34	(step @p523 :rule chain_resolution :premises (@p522 @p488 @p486 @p484 @p465 @p463 @p461 @p459 @p457) :args ((@list false false false false false false false true) (@list @t290 @t286 @t287 @t281 @t282 @t279 @t280 @t275)))
129.01/129.34	(step @p524 :rule factoring :premises (@p523))
129.01/129.34	(step @p525 :rule chain_resolution :premises (@p524 @p456) :args (@t271 (@list @t274)))
129.01/129.34	(step @p526 :rule factoring :premises (@p525))
129.01/129.34	(step @p527 :rule refl :args (@t295))
129.01/129.34	(step @p528 :rule bool-double-not-elim :args (@t265))
129.01/129.34	(step @p529 :rule nary_cong :premises (@p528 @p527) :args ((or (not @t266) @t295)))
129.01/129.34	(assume-push @p645 @t266)
129.01/129.34	(step @p531 :rule skolemize :premises (@p645))
129.01/129.34	(step-pop @p645 :rule scope :premises (@p531))
129.01/129.34	(step @p532 :rule process_scope :premises (@p645) :args (@t295))
129.01/129.34	(step @p534 :rule implies_elim :premises (@p532))
129.01/129.34	(step @p535 :rule eq_resolve :premises (@p534 @p529))
129.01/129.34	(step @p536 :rule chain_resolution :premises (@p535 @p526) :args (@t271 (@list @t277)))
129.01/129.34	(step @p537 :rule bool-double-not-elim :args (@t239))
129.01/129.34	(step @p538 :rule nary_cong :premises (@p423 @p537) :args ((or @t250 (not @t240))))
129.01/129.34	(step @p539 :rule cnf_or_neg :args (@t250 3))
129.01/129.34	(step @p540 :rule eq_resolve :premises (@p539 @p538))
129.01/129.34	(step @p541 :rule reordering :premises (@p540) :args ((or @t239 @t250)))
129.01/129.34	(step @p542 :rule chain_resolution :premises (@p541 @p421) :args (@t258 @t259))
129.01/129.34	(step @p543 :rule cong :premises (@p439) :args (@t296))
129.01/129.34	(step @p544 :rule refl :args (@t297))
129.01/129.34	(step @p545 :rule nary_cong :premises (@p544 @p543) :args (@t298))
129.01/129.34	(step @p546 :rule refl :args (@t239))
129.01/129.34	(step @p547 :rule cong :premises (@p546 @p545) :args ((=> @t239 @t298)))
129.01/129.34	(assume-push @p647 @t239)
129.01/129.34	(step @p549 :rule instantiate :premises (@p542) :args (@t288))
129.01/129.34	(step-pop @p647 :rule scope :premises (@p549))
129.01/129.34	(step @p550 :rule process_scope :premises (@p647) :args (@t298))
129.01/129.34	(step @p552 :rule eq_resolve :premises (@p550 @p547))
129.01/129.34	(step @p553 :rule implies_elim :premises (@p552))
129.01/129.34	(step @p554 :rule chain_resolution :premises (@p553 @p542) :args (@t271 (@list @t239)))
129.01/129.34	(step @p555 :rule cnf_or_pos :args (@t301))
129.01/129.34	(step @p556 :rule reordering :premises (@p555) :args ((or @t297 @t300 (not @t301))))
129.01/129.34	(step @p557 :rule chain_resolution :premises (@p556 @p437 @p554) :args (@t302 (@list @t260 @t301)))
129.01/129.34	(step @p558 :rule cnf_or_pos :args (@t303))
129.01/129.34	(step @p559 :rule reordering :premises (@p558) :args ((or @t299 @t268 @t266 (not @t303))))
129.01/129.34	(step @p560 :rule chain_resolution :premises (@p559 @p557 @p536 @p450) :args ((@list true false false) (@list @t299 @t265 @t303)))
129.01/129.34	(step @p561 :rule refl :args (@t310))
129.01/129.34	(step @p562 :rule bool-double-not-elim :args (@t267))
129.01/129.34	(step @p563 :rule nary_cong :premises (@p562 @p561) :args ((or (not @t268) @t310)))
129.01/129.34	(assume-push @p649 @t268)
129.01/129.34	(step @p565 :rule skolemize :premises (@p649))
129.01/129.34	(step-pop @p649 :rule scope :premises (@p565))
129.01/129.34	(step @p566 :rule process_scope :premises (@p649) :args (@t310))
129.01/129.34	(step @p568 :rule implies_elim :premises (@p566))
129.01/129.34	(step @p569 :rule eq_resolve :premises (@p568 @p563))
129.01/129.34	(step @p570 :rule chain_resolution :premises (@p569 @p560) :args (@t258 (@list @t267)))
129.01/129.34	(step @p571 :rule cnf_or_neg :args (@t309 1))
129.01/129.34	(step @p572 :rule chain_resolution :premises (@p571 @p570) :args (@t258 @t311))
129.01/129.34	(step @p573 :rule not_implies_elim1 :premises (@p395))
129.01/129.34	(step @p574 :rule eq-symm :args (@t304 @t235))
129.01/129.34	(step @p575 :rule refl :args (@t308))
129.01/129.34	(step @p576 :rule nary_cong :premises (@p575 @p574) :args (@t312))
129.01/129.34	(step @p577 :rule cong :premises (@p24 @p576) :args ((=> @t99 @t312)))
129.01/129.34	(assume-push @p651 @t99)
129.01/129.34	(step @p579 :rule instantiate :premises (@p573) :args ((@list @t304 @t235)))
129.01/129.34	(step-pop @p651 :rule scope :premises (@p579))
129.01/129.34	(step @p580 :rule process_scope :premises (@p651) :args (@t312))
129.01/129.34	(step @p582 :rule eq_resolve :premises (@p580 @p577))
129.01/129.34	(step @p583 :rule implies_elim :premises (@p582))
129.01/129.34	(step @p584 :rule chain_resolution :premises (@p583 @p573) :args (@t271 (@list @t99)))
129.01/129.34	(step @p585 :rule bool-double-not-elim :args (@t307))
129.01/129.34	(step @p586 :rule refl :args (@t309))
129.01/129.34	(step @p587 :rule nary_cong :premises (@p586 @p585) :args ((or @t309 (not @t308))))
129.01/129.34	(step @p588 :rule cnf_or_neg :args (@t309 0))
129.01/129.34	(step @p589 :rule eq_resolve :premises (@p588 @p587))
129.01/129.34	(step @p590 :rule reordering :premises (@p589) :args ((or @t307 @t309)))
129.01/129.34	(step @p591 :rule chain_resolution :premises (@p590 @p570) :args (@t258 @t311))
129.01/129.34	(step @p592 :rule cnf_or_pos :args (@t314))
129.01/129.34	(step @p593 :rule reordering :premises (@p592) :args ((or @t308 @t313 (not @t314))))
129.01/129.34	(step @p594 :rule chain_resolution :premises (@p593 @p591 @p584) :args (@t302 (@list @t307 @t314)))
129.01/129.34	(step @p595 :rule refl :args (@t315))
129.01/129.34	(step @p596 :rule bool-double-not-elim :args (@t306))
129.01/129.34	(step @p597 :rule nary_cong :premises (@p544 @p596 @p595) :args ((or @t297 (not @t316) @t315)))
129.01/129.34	(assume-push @p653 @t260)
129.01/129.34	(assume-push @p654 @t313)
129.01/129.34	(assume-push @p655 @t316)
129.01/129.34	(step @p496 :rule evaluate :args (@t293))
129.01/129.34	(step @p601 :rule true_intro :premises (@p437))
129.01/129.34	(step @p602 :rule refl :args (@t238))
129.01/129.34	(step @p603 :rule symm :premises (@p654))
129.01/129.34	(step @p500 :rule refl :args (@t77))
129.01/129.34	(step @p604 :rule cong :premises (@p500 @p603) :args (@t305))
129.01/129.34	(step @p605 :rule cong :premises (@p604 @p602) :args (@t306))
129.01/129.34	(step @p606 :rule false_intro :premises (@p655))
129.01/129.34	(step @p607 :rule symm :premises (@p606))
129.01/129.34	(step @p608 :rule trans :premises (@p607 @p605 @p601))
129.01/129.34	(step @p609 false :rule eq_resolve :premises (@p608 @p496))
129.01/129.34	(step-pop @p655 :rule scope :premises (@p609))
129.01/129.34	(step-pop @p656 :rule scope :premises (@p655))
129.01/129.34	(step-pop @p657 :rule scope :premises (@p656))
129.01/129.34	(step @p610 :rule process_scope :premises (@p657) :args (false))
129.01/129.34	(assume-push @p659 @t260)
129.01/129.34	(assume-push @p660 @t316)
129.01/129.34	(assume-push @p661 @t313)
129.01/129.34	(step @p617 :rule and_intro :premises (@p437 @p661 @p660))
129.01/129.34	(step-pop @p661 :rule scope :premises (@p617))
129.01/129.34	(step-pop @p662 :rule scope :premises (@p661))
129.01/129.34	(step-pop @p663 :rule scope :premises (@p662))
129.01/129.34	(step @p618 :rule process_scope :premises (@p663) :args (@t317))
129.01/129.34	(step @p622 :rule implies_elim :premises (@p618))
129.01/129.35	(step @p623 :rule resolution :premises (@p622 @p610) :args (true @t317))
129.01/129.35	(step @p624 :rule not_and :premises (@p623))
129.01/129.35	(step @p625 :rule eq_resolve :premises (@p624 @p597))
129.01/129.35	(step @p626 false :rule chain_resolution :premises (@p625 @p594 @p572 @p437) :args ((@list false true false) (@list @t313 @t306 @t260)))
129.01/129.35	)
129.01/129.35	% SZS output end Proof
129.01/129.35	% cvc5 exiting
129.01/129.35	EOF