0.00/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.13	% 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 : Fri Sep  5 19:31:37 EDT 2025
0.13/0.35	% CPUTime  : 
0.42/0.59	%----Proving TH0
2.33/2.58	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
2.33/2.58	% SZS status Theorem
2.33/2.58	% SZS output start Proof
2.33/2.58	(
2.33/2.58	(declare-type tptp.set_set_nat ())
2.33/2.58	(declare-type tptp.set_nat ())
2.33/2.58	(declare-type tptp.nat ())
2.33/2.58	(declare-const tptp.one_one_nat tptp.nat)
2.33/2.58	(declare-const tptp.collect_nat (-> (-> tptp.nat Bool) tptp.set_nat))
2.33/2.58	(declare-const tptp.ord_less_nat (-> tptp.nat tptp.nat Bool))
2.33/2.58	(declare-const tptp.zero_zero_nat tptp.nat)
2.33/2.58	(declare-const tptp.times_times_nat (-> tptp.nat tptp.nat tptp.nat))
2.33/2.58	(declare-const tptp.groups1842438620at_nat (-> (-> tptp.nat tptp.nat) tptp.set_nat tptp.nat))
2.33/2.58	(declare-const tptp.ord_less_set_nat (-> tptp.set_nat tptp.set_nat Bool))
2.33/2.58	(declare-const tptp.collect_set_nat (-> (-> tptp.set_nat Bool) tptp.set_set_nat))
2.33/2.58	(declare-const tptp.ord_le1613022364et_nat (-> tptp.set_set_nat tptp.set_set_nat Bool))
2.33/2.58	(declare-const tptp.member_set_nat (-> tptp.set_nat tptp.set_set_nat Bool))
2.33/2.58	(declare-const tptp.ord_less_eq_nat_o (-> (-> tptp.nat Bool) (-> tptp.nat Bool) Bool))
2.33/2.58	(declare-const tptp.p (-> tptp.nat tptp.nat))
2.33/2.58	(declare-const tptp.member_nat (-> tptp.nat tptp.set_nat Bool))
2.33/2.58	(define tptp.ord_less_eq_nat () (let ((_let_1 (@var "N2" tptp.nat))) (let ((_let_2 (@var "M4" tptp.nat))) (lambda (@list _let_2 _let_1) (or (_ (_ tptp.ord_less_nat _let_2) _let_1) (= _let_2 _let_1))))))
2.33/2.58	(define tptp.set_ord_atMost_nat () (let ((_let_1 (@var "U" tptp.nat))) (let ((_let_2 (@var "X4" tptp.nat))) (lambda (@list _let_1) (_ tptp.collect_nat (lambda (@list _let_2) (_ (_ tptp.ord_less_eq_nat _let_2) _let_1)))))))
2.33/2.58	(define tptp.number1551313001itions () (let ((_let_1 (@var "I2" tptp.nat))) (let ((_let_2 (@var "N2" tptp.nat))) (let ((_let_3 (@var "P2" (-> tptp.nat tptp.nat)))) (let ((_let_4 (_ _let_3 _let_1))) (let ((_let_5 (@list _let_1))) (lambda (@list _let_3 _let_2) (and (= (_ (_ tptp.groups1842438620at_nat (lambda _let_5 (_ (_ tptp.times_times_nat _let_4) _let_1))) (_ tptp.set_ord_atMost_nat _let_2)) _let_2) (forall _let_5 (=> (not (= _let_4 tptp.zero_zero_nat)) (and (_ (_ tptp.ord_less_eq_nat _let_1) _let_2) (_ (_ tptp.ord_less_eq_nat tptp.one_one_nat) _let_1))))))))))))
2.33/2.58	(define tptp.ord_less_eq_set_nat () (let ((_let_1 (@var "B5" tptp.set_nat))) (let ((_let_2 (@var "A5" tptp.set_nat))) (lambda (@list _let_2 _let_1) (or (_ (_ tptp.ord_less_set_nat _let_2) _let_1) (= _let_2 _let_1))))))
2.33/2.58	(define tptp.set_or1086813439et_nat () (let ((_let_1 (@var "U" tptp.set_nat))) (let ((_let_2 (@var "X4" tptp.set_nat))) (lambda (@list _let_1) (_ tptp.collect_set_nat (lambda (@list _let_2) (_ (_ tptp.ord_less_eq_set_nat _let_2) _let_1)))))))
2.33/2.58	(define @t1 () (@var "A2" tptp.nat))
2.33/2.58	(define @t2 () (_ tptp.times_times_nat tptp.one_one_nat))
2.33/2.58	(define @t3 () (@list @t1))
2.33/2.58	(define @t4 () (@var "N" tptp.nat))
2.33/2.58	(define @t5 () (@var "P" (-> tptp.nat tptp.nat)))
2.33/2.58	(define @t6 () (_ (_ tptp.number1551313001itions @t5) @t4))
2.33/2.58	(define @t7 () (@var "I2" tptp.nat))
2.33/2.58	(define @t8 () (@list @t7))
2.33/2.58	(define @t9 () (= (_ (_ tptp.groups1842438620at_nat (lambda @t8 (_ (_ tptp.times_times_nat (_ @t5 @t7)) @t7))) (_ tptp.set_ord_atMost_nat @t4)) @t4))
2.33/2.58	(define @t10 () (@var "I3" tptp.nat))
2.33/2.58	(define @t11 () (_ tptp.ord_less_eq_nat tptp.one_one_nat))
2.33/2.58	(define @t12 () (@list @t10))
2.33/2.58	(define @t13 () (@list @t5 @t4))
2.33/2.58	(define @t14 () (@var "B" tptp.nat))
2.33/2.58	(define @t15 () (= @t1 @t14))
2.33/2.58	(define @t16 () (_ tptp.ord_less_eq_nat @t1))
2.33/2.58	(define @t17 () (_ @t16 @t14))
2.33/2.58	(define @t18 () (_ tptp.ord_less_eq_nat @t14))
2.33/2.58	(define @t19 () (_ @t18 @t1))
2.33/2.58	(define @t20 () (@list @t14 @t1))
2.33/2.58	(define @t21 () (@var "C" tptp.nat))
2.33/2.58	(define @t22 () (_ tptp.ord_less_nat @t21))
2.33/2.58	(define @t23 () (_ @t22 @t1))
2.33/2.58	(define @t24 () (_ tptp.ord_less_eq_nat @t21))
2.33/2.58	(define @t25 () (_ @t24 @t14))
2.33/2.58	(define @t26 () (=> @t25 @t23))
2.33/2.58	(define @t27 () (_ tptp.ord_less_nat @t14))
2.33/2.58	(define @t28 () (_ @t27 @t1))
2.33/2.58	(define @t29 () (=> @t28 @t26))
2.33/2.58	(define @t30 () (@list @t14 @t1 @t21))
2.33/2.58	(define @t31 () (forall @t30 @t29))
2.33/2.58	(define @t32 () (@var "P3" (-> tptp.nat Bool)))
2.33/2.58	(define @t33 () (_ @t32 @t1))
2.33/2.58	(define @t34 () (_ tptp.collect_nat @t32))
2.33/2.58	(define @t35 () (@var "Z2" tptp.nat))
2.33/2.58	(define @t36 () (@var "X" tptp.nat))
2.33/2.58	(define @t37 () (_ tptp.ord_less_eq_nat @t36))
2.33/2.58	(define @t38 () (_ @t37 @t35))
2.33/2.58	(define @t39 () (@var "Y" tptp.nat))
2.33/2.58	(define @t40 () (_ tptp.ord_less_eq_nat @t39))
2.33/2.58	(define @t41 () (_ @t40 @t35))
2.33/2.58	(define @t42 () (_ @t37 @t39))
2.33/2.58	(define @t43 () (@list @t36 @t39 @t35))
2.33/2.58	(define @t44 () (@var "C" tptp.set_nat))
2.33/2.58	(define @t45 () (@var "A2" tptp.set_nat))
2.33/2.58	(define @t46 () (_ tptp.ord_less_set_nat @t45))
2.33/2.58	(define @t47 () (_ @t46 @t44))
2.33/2.58	(define @t48 () (@var "B" tptp.set_nat))
2.33/2.58	(define @t49 () (_ tptp.ord_less_set_nat @t48))
2.33/2.58	(define @t50 () (_ tptp.ord_less_eq_set_nat @t45))
2.33/2.58	(define @t51 () (_ @t50 @t48))
2.33/2.58	(define @t52 () (@list @t45 @t48 @t44))
2.33/2.58	(define @t53 () (lambda @t8 tptp.zero_zero_nat))
2.33/2.58	(define @t54 () (= tptp.p @t53))
2.33/2.58	(define @t55 () (_ tptp.ord_less_eq_nat @t7))
2.33/2.58	(define @t56 () (_ @t11 @t7))
2.33/2.58	(define @t57 () (and @t56 (_ @t55 tptp.zero_zero_nat)))
2.33/2.58	(define @t58 () (_ tptp.p @t7))
2.33/2.58	(define @t59 () (not (= @t58 tptp.zero_zero_nat)))
2.33/2.58	(define @t60 () (=> @t59 @t57))
2.33/2.58	(define @t61 () (forall @t8 @t60))
2.33/2.58	(define @t62 () (_ (_ tptp.times_times_nat @t58) @t7))
2.33/2.58	(define @t63 () (lambda @t8 @t62))
2.33/2.58	(define @t64 () (_ tptp.groups1842438620at_nat @t63))
2.33/2.58	(define @t65 () (= (_ @t64 (_ tptp.set_ord_atMost_nat tptp.zero_zero_nat)) tptp.zero_zero_nat))
2.33/2.58	(define @t66 () (and @t65 @t61))
2.33/2.58	(define @t67 () (= @t66 @t54))
2.33/2.58	(define @t68 () (not @t67))
2.33/2.58	(define @t69 () (_ tptp.times_times_nat @t21))
2.33/2.58	(define @t70 () (_ @t69 @t14))
2.33/2.58	(define @t71 () (_ @t69 @t1))
2.33/2.58	(define @t72 () (_ tptp.ord_less_eq_nat tptp.zero_zero_nat))
2.33/2.58	(define @t73 () (_ @t72 @t21))
2.33/2.58	(define @t74 () (@list @t1 @t14 @t21))
2.33/2.58	(define @t75 () (= @t1 tptp.zero_zero_nat))
2.33/2.58	(define @t76 () (_ @t16 tptp.zero_zero_nat))
2.33/2.58	(define @t77 () (@var "S" tptp.set_nat))
2.33/2.58	(define @t78 () (@var "R2" tptp.set_nat))
2.33/2.58	(define @t79 () (@var "X4" tptp.nat))
2.33/2.58	(define @t80 () (_ tptp.member_nat @t79))
2.33/2.58	(define @t81 () (@list @t79))
2.33/2.58	(define @t82 () (@var "K" tptp.set_nat))
2.33/2.58	(define @t83 () (@var "I4" tptp.set_nat))
2.33/2.58	(define @t84 () (_ tptp.set_ord_atMost_nat @t39))
2.33/2.58	(define @t85 () (_ tptp.set_ord_atMost_nat @t36))
2.33/2.58	(define @t86 () (@list @t36 @t39))
2.33/2.58	(define @t87 () (= @t14 tptp.zero_zero_nat))
2.33/2.58	(define @t88 () (_ tptp.times_times_nat @t1))
2.33/2.58	(define @t89 () (_ @t88 @t14))
2.33/2.58	(define @t90 () (= @t89 tptp.zero_zero_nat))
2.33/2.58	(define @t91 () (@list @t1 @t14))
2.33/2.58	(define @t92 () (_ tptp.ord_less_nat tptp.one_one_nat))
2.33/2.58	(define @t93 () (@var "A" tptp.set_nat))
2.33/2.58	(define @t94 () (@var "F" (-> tptp.nat tptp.nat)))
2.33/2.58	(define @t95 () (_ tptp.groups1842438620at_nat @t94))
2.33/2.58	(define @t96 () (_ @t95 @t93))
2.33/2.58	(define @t97 () (@var "X2" tptp.nat))
2.33/2.58	(define @t98 () (_ @t94 @t97))
2.33/2.58	(define @t99 () (_ tptp.ord_less_eq_nat @t98))
2.33/2.58	(define @t100 () (_ tptp.member_nat @t97))
2.33/2.58	(define @t101 () (_ @t100 @t93))
2.33/2.58	(define @t102 () (=> @t101 (_ @t99 tptp.zero_zero_nat)))
2.33/2.58	(define @t103 () (@list @t97))
2.33/2.58	(define @t104 () (forall @t103 @t102))
2.33/2.58	(define @t105 () (=> @t104 (_ (_ tptp.ord_less_eq_nat @t96) tptp.zero_zero_nat)))
2.33/2.58	(define @t106 () (@list @t93 @t94))
2.33/2.58	(define @t107 () (forall @t106 @t105))
2.33/2.58	(define @t108 () (@var "A4" tptp.set_nat))
2.33/2.58	(define @t109 () (@var "B4" tptp.set_nat))
2.33/2.58	(define @t110 () (_ (_ tptp.ord_less_eq_set_nat @t109) @t108))
2.33/2.58	(define @t111 () (_ (_ tptp.ord_less_eq_set_nat @t108) @t109))
2.33/2.58	(define @t112 () (@list @t108 @t109))
2.33/2.58	(define @t113 () (@var "Z" tptp.set_nat))
2.33/2.58	(define @t114 () (@var "Y4" tptp.set_nat))
2.33/2.58	(define @t115 () (lambda (@list @t114 @t113) (= @t114 @t113)))
2.33/2.58	(define @t116 () (@var "A3" tptp.nat))
2.33/2.58	(define @t117 () (@var "G" (-> tptp.nat tptp.nat)))
2.33/2.58	(define @t118 () (_ @t117 @t116))
2.33/2.58	(define @t119 () (_ tptp.member_nat @t116))
2.33/2.58	(define @t120 () (@list @t116))
2.33/2.58	(define @t121 () (_ tptp.groups1842438620at_nat @t117))
2.33/2.58	(define @t122 () (_ @t121 @t93))
2.33/2.58	(define @t123 () (= @t122 tptp.zero_zero_nat))
2.33/2.58	(define @t124 () (_ @t94 @t21))
2.33/2.58	(define @t125 () (@var "Y2" tptp.nat))
2.33/2.58	(define @t126 () (_ @t94 @t125))
2.33/2.58	(define @t127 () (_ tptp.ord_less_eq_nat @t97))
2.33/2.58	(define @t128 () (_ @t127 @t125))
2.33/2.58	(define @t129 () (@list @t97 @t125))
2.33/2.58	(define @t130 () (forall @t129 (=> @t128 (_ @t99 @t126))))
2.33/2.58	(define @t131 () (_ @t18 @t21))
2.33/2.58	(define @t132 () (=> @t131 (=> @t130 (_ @t16 @t124))))
2.33/2.58	(define @t133 () (_ @t94 @t14))
2.33/2.58	(define @t134 () (@list @t1 @t94 @t14 @t21))
2.33/2.58	(define @t135 () (_ tptp.ord_less_nat @t4))
2.33/2.58	(define @t136 () (_ @t135 tptp.zero_zero_nat))
2.33/2.58	(define @t137 () (not @t136))
2.33/2.58	(define @t138 () (@list @t4))
2.33/2.58	(define @t139 () (forall @t138 @t137))
2.33/2.58	(define @t140 () (_ tptp.times_times_nat @t4))
2.33/2.58	(define @t141 () (@var "F" (-> tptp.set_nat tptp.set_nat)))
2.33/2.58	(define @t142 () (@var "Y2" tptp.set_nat))
2.33/2.58	(define @t143 () (@var "X2" tptp.set_nat))
2.33/2.58	(define @t144 () (_ (_ tptp.ord_less_eq_set_nat @t143) @t142))
2.33/2.58	(define @t145 () (@list @t143 @t142))
2.33/2.58	(define @t146 () (forall @t145 (=> @t144 (_ (_ tptp.ord_less_eq_set_nat (_ @t141 @t143)) (_ @t141 @t142)))))
2.33/2.58	(define @t147 () (_ tptp.ord_less_eq_set_nat @t48))
2.33/2.58	(define @t148 () (_ @t147 @t44))
2.33/2.58	(define @t149 () (=> @t148 (=> @t146 (_ @t50 (_ @t141 @t44)))))
2.33/2.58	(define @t150 () (_ @t141 @t48))
2.33/2.58	(define @t151 () (@list @t45 @t141 @t48 @t44))
2.33/2.58	(define @t152 () (_ @t147 @t45))
2.33/2.58	(define @t153 () (_ @t49 @t45))
2.33/2.58	(define @t154 () (@list @t48 @t45))
2.33/2.58	(define @t155 () (@var "F" (-> tptp.nat tptp.set_nat)))
2.33/2.58	(define @t156 () (forall @t129 (=> @t128 (_ (_ tptp.ord_less_eq_set_nat (_ @t155 @t97)) (_ @t155 @t125)))))
2.33/2.58	(define @t157 () (=> @t131 (=> @t156 (_ @t50 (_ @t155 @t21)))))
2.33/2.58	(define @t158 () (_ @t155 @t14))
2.33/2.58	(define @t159 () (@list @t45 @t155 @t14 @t21))
2.33/2.58	(define @t160 () (@var "M" tptp.nat))
2.33/2.58	(define @t161 () (_ tptp.times_times_nat @t160))
2.33/2.58	(define @t162 () (@list @t160))
2.33/2.58	(define @t163 () (= @t45 @t48))
2.33/2.58	(define @t164 () (@var "B3" tptp.set_nat))
2.33/2.58	(define @t165 () (_ tptp.ord_less_eq_set_nat @t164))
2.33/2.58	(define @t166 () (_ @t165 @t93))
2.33/2.58	(define @t167 () (= @t93 @t164))
2.33/2.58	(define @t168 () (@list @t93 @t164))
2.33/2.58	(define @t169 () (= @t36 @t39))
2.33/2.58	(define @t170 () (_ @t40 @t36))
2.33/2.58	(define @t171 () (_ tptp.member_nat @t36))
2.33/2.58	(define @t172 () (_ tptp.ord_less_eq_set_nat @t93))
2.33/2.58	(define @t173 () (_ @t172 @t164))
2.33/2.58	(define @t174 () (_ @t94 @t1))
2.33/2.58	(define @t175 () (=> @t130 (_ (_ tptp.ord_less_eq_nat @t174) @t21)))
2.33/2.58	(define @t176 () (@list @t1 @t14 @t94 @t21))
2.33/2.58	(define @t177 () (@var "J2" tptp.nat))
2.33/2.58	(define @t178 () (@var "G" (-> tptp.nat tptp.nat tptp.nat)))
2.33/2.58	(define @t179 () (_ @t178 @t7))
2.33/2.58	(define @t180 () (@list @t177))
2.33/2.58	(define @t181 () (@var "J" tptp.nat))
2.33/2.58	(define @t182 () (@var "I4" tptp.nat))
2.33/2.58	(define @t183 () (_ tptp.ord_less_eq_nat @t182))
2.33/2.58	(define @t184 () (_ @t183 @t181))
2.33/2.58	(define @t185 () (@var "J3" tptp.nat))
2.33/2.58	(define @t186 () (_ @t94 @t10))
2.33/2.58	(define @t187 () (_ tptp.times_times_nat tptp.zero_zero_nat))
2.33/2.58	(define @t188 () (_ tptp.ord_less_nat tptp.zero_zero_nat))
2.33/2.58	(define @t189 () (_ @t188 @t4))
2.33/2.58	(define @t190 () (= @t4 tptp.zero_zero_nat))
2.33/2.58	(define @t191 () (not @t190))
2.33/2.58	(define @t192 () (@list @t36))
2.33/2.58	(define @t193 () (_ tptp.ord_less_nat @t1))
2.33/2.58	(define @t194 () (_ @t193 @t21))
2.33/2.58	(define @t195 () (_ @t27 @t21))
2.33/2.58	(define @t196 () (=> @t195 @t194))
2.33/2.58	(define @t197 () (_ tptp.ord_less_eq_nat @t4))
2.33/2.58	(define @t198 () (_ @t161 @t4))
2.33/2.58	(define @t199 () (@list @t160 @t4))
2.33/2.58	(define @t200 () (_ tptp.ord_less_nat @t39))
2.33/2.58	(define @t201 () (_ @t200 @t36))
2.33/2.58	(define @t202 () (_ tptp.ord_less_nat @t36))
2.33/2.58	(define @t203 () (_ @t202 @t39))
2.33/2.58	(define @t204 () (not @t203))
2.33/2.58	(define @t205 () (not @t169))
2.33/2.58	(define @t206 () (_ tptp.ord_less_set_nat @t93))
2.33/2.58	(define @t207 () (_ @t206 @t164))
2.33/2.58	(define @t208 () (@var "F" (-> tptp.set_nat tptp.nat)))
2.33/2.58	(define @t209 () (forall @t145 (=> @t144 (_ (_ tptp.ord_less_eq_nat (_ @t208 @t143)) (_ @t208 @t142)))))
2.33/2.58	(define @t210 () (=> @t209 (_ (_ tptp.ord_less_eq_nat (_ @t208 @t45)) @t21)))
2.33/2.58	(define @t211 () (_ @t208 @t48))
2.33/2.58	(define @t212 () (@list @t45 @t48 @t208 @t21))
2.33/2.58	(define @t213 () (_ @t16 @t21))
2.33/2.58	(define @t214 () (=> @t131 @t213))
2.33/2.58	(define @t215 () (not @t15))
2.33/2.58	(define @t216 () (=> @t156 (_ (_ tptp.ord_less_eq_set_nat (_ @t155 @t1)) @t44)))
2.33/2.58	(define @t217 () (@list @t1 @t14 @t155 @t44))
2.33/2.58	(define @t218 () (@var "R" tptp.nat))
2.33/2.58	(define @t219 () (@var "N2" tptp.nat))
2.33/2.58	(define @t220 () (_ @t94 @t219))
2.33/2.58	(define @t221 () (@list @t219))
2.33/2.58	(define @t222 () (_ tptp.times_times_nat @t96))
2.33/2.58	(define @t223 () (@var "A4" tptp.nat))
2.33/2.58	(define @t224 () (@var "B4" tptp.nat))
2.33/2.58	(define @t225 () (_ (_ tptp.ord_less_eq_nat @t224) @t223))
2.33/2.58	(define @t226 () (_ (_ tptp.ord_less_eq_nat @t223) @t224))
2.33/2.58	(define @t227 () (@list @t223 @t224))
2.33/2.58	(define @t228 () (@var "Z" tptp.nat))
2.33/2.58	(define @t229 () (@var "Y4" tptp.nat))
2.33/2.58	(define @t230 () (lambda (@list @t229 @t228) (= @t229 @t228)))
2.33/2.58	(define @t231 () (_ tptp.ord_less_eq_nat @t160))
2.33/2.58	(define @t232 () (_ @t231 @t4))
2.33/2.58	(define @t233 () (_ @t197 @t160))
2.33/2.58	(define @t234 () (@var "M4" tptp.nat))
2.33/2.58	(define @t235 () (= @t234 @t219))
2.33/2.58	(define @t236 () (@list @t234 @t219))
2.33/2.58	(define @t237 () (_ @t32 @t36))
2.33/2.58	(define @t238 () (@var "X5" tptp.set_nat))
2.33/2.58	(define @t239 () (_ @t32 @t79))
2.33/2.58	(define @t240 () (_ tptp.collect_nat (lambda @t81 (and @t239 (_ @t80 @t238)))))
2.33/2.58	(define @t241 () (@var "Z3" tptp.set_nat))
2.33/2.58	(define @t242 () (_ tptp.ord_less_nat @t98))
2.33/2.58	(define @t243 () (forall @t129 (=> (_ (_ tptp.ord_less_nat @t97) @t125) (_ @t242 @t126))))
2.33/2.58	(define @t244 () (=> @t243 (_ (_ tptp.ord_less_nat @t174) @t21)))
2.33/2.58	(define @t245 () (_ @t193 @t14))
2.33/2.58	(define @t246 () (@var "X" tptp.set_nat))
2.33/2.58	(define @t247 () (_ tptp.ord_less_eq_set_nat @t246))
2.33/2.58	(define @t248 () (_ @t117 @t97))
2.33/2.58	(define @t249 () (_ @t100 @t164))
2.33/2.58	(define @t250 () (@var "K" tptp.nat))
2.33/2.58	(define @t251 () (_ @t188 @t250))
2.33/2.58	(define @t252 () (=> @t251 @t232))
2.33/2.58	(define @t253 () (_ tptp.times_times_nat @t250))
2.33/2.58	(define @t254 () (_ @t253 @t4))
2.33/2.58	(define @t255 () (_ @t253 @t160))
2.33/2.58	(define @t256 () (@list @t250 @t160 @t4))
2.33/2.58	(define @t257 () (_ (_ tptp.ord_less_nat @t160) @t4))
2.33/2.58	(define @t258 () (= @t160 @t4))
2.33/2.58	(define @t259 () (@var "C2" tptp.set_nat))
2.33/2.58	(define @t260 () (_ @t206 @t259))
2.33/2.58	(define @t261 () (_ @t165 @t259))
2.33/2.58	(define @t262 () (@list @t93 @t164 @t259))
2.33/2.58	(define @t263 () (_ tptp.times_times_nat @t14))
2.33/2.58	(define @t264 () (_ @t263 @t21))
2.33/2.58	(define @t265 () (_ @t88 @t264))
2.33/2.58	(define @t266 () (@var "B5" tptp.set_nat))
2.33/2.58	(define @t267 () (@var "A5" tptp.set_nat))
2.33/2.58	(define @t268 () (= @t267 @t266))
2.33/2.58	(define @t269 () (_ (_ tptp.ord_less_eq_set_nat @t267) @t266))
2.33/2.58	(define @t270 () (@list @t267 @t266))
2.33/2.58	(define @t271 () (_ tptp.ord_less_set_nat @t44))
2.33/2.58	(define @t272 () (_ @t271 @t45))
2.33/2.58	(define @t273 () (_ tptp.ord_less_eq_set_nat @t44))
2.33/2.58	(define @t274 () (_ @t273 @t48))
2.33/2.58	(define @t275 () (@list @t48 @t45 @t44))
2.33/2.58	(define @t276 () (= @t14 @t21))
2.33/2.58	(define @t277 () (_ @t161 @t160))
2.33/2.58	(define @t278 () (not @t75))
2.33/2.58	(define @t279 () (@var "Y" tptp.set_nat))
2.33/2.58	(define @t280 () (_ @t247 @t279))
2.33/2.58	(define @t281 () (@list @t246 @t279))
2.33/2.58	(define @t282 () (_ tptp.member_nat @t21))
2.33/2.58	(define @t283 () (= @t160 tptp.zero_zero_nat))
2.33/2.58	(define @t284 () (not @t201))
2.33/2.58	(define @t285 () (@list @t39 @t36))
2.33/2.58	(define @t286 () (_ @t80 @t266))
2.33/2.58	(define @t287 () (_ @t80 @t267))
2.33/2.58	(define @t288 () (= @t250 tptp.zero_zero_nat))
2.33/2.58	(define @t289 () (@var "Z2" tptp.set_nat))
2.33/2.58	(define @t290 () (_ tptp.ord_less_eq_set_nat @t279))
2.33/2.58	(define @t291 () (@list @t45 @t48))
2.33/2.58	(define @t292 () (_ @t88 @t21))
2.33/2.58	(define @t293 () (_ tptp.ord_less_eq_nat @t292))
2.33/2.58	(define @t294 () (_ @t72 @t1))
2.33/2.58	(define @t295 () (= @t21 tptp.zero_zero_nat))
2.33/2.58	(define @t296 () (= @t71 @t70))
2.33/2.58	(define @t297 () (@list @t21 @t1 @t14))
2.33/2.58	(define @t298 () (@var "P3" (-> tptp.nat tptp.nat Bool)))
2.33/2.58	(define @t299 () (@var "B2" tptp.nat))
2.33/2.58	(define @t300 () (_ @t298 @t116))
2.33/2.58	(define @t301 () (_ @t300 @t299))
2.33/2.58	(define @t302 () (@list @t116 @t299))
2.33/2.58	(define @t303 () (=> (forall @t302 (=> (_ (_ @t298 @t299) @t116) @t301)) (_ (_ @t298 @t1) @t14)))
2.33/2.58	(define @t304 () (@list @t298 @t1 @t14))
2.33/2.58	(define @t305 () (=> @t146 (_ (_ tptp.ord_less_eq_set_nat (_ @t141 @t45)) @t44)))
2.33/2.58	(define @t306 () (@list @t45 @t48 @t141 @t44))
2.33/2.58	(define @t307 () (_ (_ tptp.ord_less_eq_set_nat @t266) @t267))
2.33/2.58	(define @t308 () (_ @t50 @t44))
2.33/2.58	(define @t309 () (= @t223 @t224))
2.33/2.58	(define @t310 () (= @t292 @t264))
2.33/2.58	(define @t311 () (_ @t46 @t48))
2.33/2.58	(define @t312 () (_ @t32 @t97))
2.33/2.58	(define @t313 () (@var "Y3" tptp.nat))
2.33/2.58	(define @t314 () (_ @t32 @t313))
2.33/2.58	(define @t315 () (@list @t313))
2.33/2.58	(define @t316 () (=> @t148 @t308))
2.33/2.58	(define @t317 () (= @t1 @t133))
2.33/2.58	(define @t318 () (not @t42))
2.33/2.58	(define @t319 () (_ tptp.ord_less_eq_nat @t35))
2.33/2.58	(define @t320 () (_ @t319 @t36))
2.33/2.58	(define @t321 () (_ @t319 @t39))
2.33/2.58	(define @t322 () (not @t295))
2.33/2.58	(define @t323 () (= @t246 @t279))
2.33/2.58	(define @t324 () (= @t133 @t21))
2.33/2.58	(define @t325 () (lambda (@list (@var "H2" tptp.nat)) tptp.zero_zero_nat))
2.33/2.58	(define @t326 () (_ @t18 tptp.zero_zero_nat))
2.33/2.58	(define @t327 () (@var "Q" (-> tptp.nat Bool)))
2.33/2.58	(define @t328 () (_ tptp.collect_nat @t327))
2.33/2.58	(define @t329 () (_ (_ tptp.ord_less_eq_set_nat @t34) @t328))
2.33/2.58	(define @t330 () (_ @t327 @t97))
2.33/2.58	(define @t331 () (@list @t32 @t327))
2.33/2.58	(define @t332 () (= @t108 @t109))
2.33/2.58	(define @t333 () (not @t332))
2.33/2.58	(define @t334 () (@list @t109 @t108))
2.33/2.58	(define @t335 () (not @t309))
2.33/2.58	(define @t336 () (_ @t22 @t14))
2.33/2.58	(define @t337 () (=> @t336 @t23))
2.33/2.58	(define @t338 () (@var "M5" tptp.nat))
2.33/2.58	(define @t339 () (@var "N3" tptp.nat))
2.33/2.58	(define @t340 () (and @t257 @t251))
2.33/2.58	(define @t341 () (_ tptp.times_times_nat @t218))
2.33/2.58	(define @t342 () (_ @t290 @t246))
2.33/2.58	(define @t343 () (not @t28))
2.33/2.58	(define @t344 () (_ @t140 @t250))
2.33/2.58	(define @t345 () (_ @t161 @t250))
2.33/2.58	(define @t346 () (@list @t160 @t250 @t4))
2.33/2.58	(define @t347 () (@list @t93))
2.33/2.58	(define @t348 () (@var "D" tptp.nat))
2.33/2.58	(define @t349 () (=> @t73 (_ @t293 (_ @t263 @t348))))
2.33/2.58	(define @t350 () (_ @t24 @t348))
2.33/2.58	(define @t351 () (@list @t1 @t14 @t21 @t348))
2.33/2.58	(define @t352 () (@var "Gamma" (-> tptp.nat tptp.nat)))
2.33/2.58	(define @t353 () (@var "Phi" (-> tptp.nat tptp.nat)))
2.33/2.58	(define @t354 () (= (_ (_ tptp.groups1842438620at_nat @t353) @t93) (_ (_ tptp.groups1842438620at_nat @t352) @t164)))
2.33/2.58	(define @t355 () (@var "H" (-> tptp.nat tptp.nat)))
2.33/2.58	(define @t356 () (_ @t355 @t97))
2.33/2.58	(define @t357 () (_ (_ tptp.member_nat @t356) @t164))
2.33/2.58	(define @t358 () (= (_ @t352 @t356) (_ @t353 @t97)))
2.33/2.58	(define @t359 () (@var "X3" tptp.nat))
2.33/2.58	(define @t360 () (@var "Ya" tptp.nat))
2.33/2.58	(define @t361 () (@list @t359))
2.33/2.58	(define @t362 () (_ (_ tptp.member_nat @t125) @t164))
2.33/2.58	(define @t363 () (@list @t125))
2.33/2.58	(define @t364 () (not @t87))
2.33/2.58	(define @t365 () (not @t90))
2.33/2.58	(define @t366 () (_ @t72 @t14))
2.33/2.58	(define @t367 () (_ tptp.times_times_nat @t181))
2.33/2.58	(define @t368 () (_ tptp.ord_less_eq_nat (_ (_ tptp.times_times_nat @t182) @t250)))
2.33/2.58	(define @t369 () (@list @t182 @t181 @t250))
2.33/2.58	(define @t370 () (@var "L" tptp.nat))
2.33/2.58	(define @t371 () (_ @t80 @t93))
2.33/2.58	(define @t372 () (_ tptp.groups1842438620at_nat @t355))
2.33/2.58	(define @t373 () (@var "X_1" tptp.nat))
2.33/2.58	(define @t374 () (_ @t183 @t250))
2.33/2.58	(define @t375 () (@var "I" tptp.nat))
2.33/2.58	(define @t376 () (@var "K" (-> tptp.nat tptp.nat)))
2.33/2.58	(define @t377 () (_ @t376 @t125))
2.33/2.58	(define @t378 () (=> @t148 (=> @t209 (_ @t16 (_ @t208 @t44)))))
2.33/2.58	(define @t379 () (@list @t1 @t208 @t48 @t44))
2.33/2.58	(define @t380 () (= @t160 tptp.one_one_nat))
2.33/2.58	(define @t381 () (= @t4 tptp.one_one_nat))
2.33/2.58	(define @t382 () (@var "Y5" tptp.set_nat))
2.33/2.58	(define @t383 () (@var "X4" tptp.set_nat))
2.33/2.58	(define @t384 () (_ tptp.ord_less_eq_set_nat @t383))
2.33/2.58	(define @t385 () (@var "M3" tptp.nat))
2.33/2.58	(define @t386 () (@var "M2" tptp.nat))
2.33/2.58	(define @t387 () (@var "K2" tptp.set_nat))
2.33/2.58	(define @t388 () (@list @t224 @t223))
2.33/2.58	(define @t389 () (_ @t80 @t164))
2.33/2.58	(define @t390 () (_ tptp.collect_nat (lambda @t81 (and @t239 @t371))))
2.33/2.58	(define @t391 () (=> @t195 (=> @t243 (_ @t193 @t124))))
2.33/2.58	(define @t392 () (_ @t327 @t79))
2.33/2.58	(define @t393 () (@var "P3" Bool))
2.33/2.58	(define @t394 () (_ tptp.ord_less_eq_nat @t89))
2.33/2.58	(define @t395 () (_ @t394 tptp.zero_zero_nat))
2.33/2.58	(define @t396 () (not (_ @t11 tptp.zero_zero_nat)))
2.33/2.58	(define @t397 () (@var "T" tptp.set_nat))
2.33/2.58	(define @t398 () (@var "J" (-> tptp.nat tptp.nat)))
2.33/2.58	(define @t399 () (_ @t398 @t116))
2.33/2.58	(define @t400 () (_ @t119 @t77))
2.33/2.58	(define @t401 () (@var "I4" (-> tptp.nat tptp.nat)))
2.33/2.58	(define @t402 () (_ @t401 @t299))
2.33/2.58	(define @t403 () (_ (_ tptp.member_nat @t299) @t397))
2.33/2.58	(define @t404 () (@list @t299))
2.33/2.58	(define @t405 () (@var "P5" (-> tptp.nat Bool)))
2.33/2.58	(define @t406 () (_ (_ tptp.ord_less_nat @t234) @t219))
2.33/2.58	(define @t407 () (@var "X6" tptp.nat))
2.33/2.58	(define @t408 () (@var "P4" (-> tptp.nat Bool)))
2.33/2.58	(define @t409 () (@var "T2" tptp.nat))
2.33/2.58	(define @t410 () (_ tptp.member_nat @t409))
2.33/2.58	(define @t411 () (@var "Y5" tptp.nat))
2.33/2.58	(define @t412 () (_ tptp.ord_less_eq_nat @t79))
2.33/2.58	(define @t413 () (@var "P2" (-> tptp.nat tptp.nat)))
2.33/2.58	(define @t414 () (_ @t413 @t7))
2.33/2.58	(define @t415 () (lambda (@list @t413 @t219) (and (= (_ (_ tptp.groups1842438620at_nat (lambda @t8 (_ (_ tptp.times_times_nat @t414) @t7))) (_ tptp.set_ord_atMost_nat @t219)) @t219) (forall @t8 (=> (not (= @t414 tptp.zero_zero_nat)) (and (_ @t55 @t219) @t56))))))
2.33/2.58	(define @t416 () (lambda @t270 (or (_ (_ tptp.ord_less_set_nat @t267) @t266) @t268)))
2.33/2.58	(define @t417 () (or @t406 @t235))
2.33/2.58	(define @t418 () (lambda @t236 @t417))
2.33/2.58	(define @t419 () (@var "U" tptp.set_nat))
2.33/2.58	(define @t420 () (lambda (@list @t419) (_ tptp.collect_set_nat (lambda (@list @t383) (_ @t384 @t419)))))
2.33/2.58	(define @t421 () (@var "U" tptp.nat))
2.33/2.58	(define @t422 () (lambda @t81 (_ @t412 @t421)))
2.33/2.58	(define @t423 () (@list @t421))
2.33/2.58	(define @t424 () (lambda @t423 (_ tptp.collect_nat @t422)))
2.33/2.58	(define @t425 () (@purify @t63))
2.33/2.58	(define @t426 () (_ @t425 @t97))
2.33/2.58	(define @t427 () (_ tptp.ord_less_nat @t79))
2.33/2.58	(define @t428 () (_ @t427 tptp.zero_zero_nat))
2.33/2.58	(define @t429 () (lambda @t81 (or @t428 (= tptp.zero_zero_nat @t79))))
2.33/2.58	(define @t430 () (@purify @t429))
2.33/2.58	(define @t431 () (tptp.collect_nat @t430))
2.33/2.58	(define @t432 () (forall @t103 (or (not (tptp.member_nat @t97 @t431)) (tptp.ord_less_nat @t426 tptp.zero_zero_nat) (= tptp.zero_zero_nat @t426))))
2.33/2.58	(define @t433 () (@quantifiers_skolemize @t432 0))
2.33/2.58	(define @t434 () (tptp.p @t433))
2.33/2.58	(define @t435 () (_ tptp.times_times_nat @t434))
2.33/2.58	(define @t436 () (@purify @t435))
2.33/2.58	(define @t437 () (_ @t436 @t433))
2.33/2.58	(define @t438 () (_ tptp.p @t433))
2.33/2.58	(define @t439 () (tptp.times_times_nat @t434 @t433))
2.33/2.58	(define @t440 () (_ @t435 @t433))
2.33/2.58	(define @t441 () (_ tptp.times_times_nat @t438))
2.33/2.58	(define @t442 () (= @t440 @t437))
2.33/2.58	(define @t443 () (= @t435 @t436))
2.33/2.58	(define @t444 () (and @t443 @t442))
2.33/2.58	(define @t445 () (_ @t435 @t433))
2.33/2.58	(define @t446 () (= @t445 @t440))
2.33/2.58	(define @t447 () (= @t440 @t445))
2.33/2.58	(define @t448 () (tptp.p @t7))
2.33/2.58	(define @t449 () (tptp.times_times_nat @t448 @t7))
2.33/2.58	(define @t450 () (_ @t425 @t7))
2.33/2.58	(define @t451 () (= @t62 @t450))
2.33/2.58	(define @t452 () (_ @t63 @t7))
2.33/2.58	(define @t453 () (= @t450 @t452))
2.33/2.58	(define @t454 () (forall @t8 @t453))
2.33/2.58	(define @t455 () (tptp.groups1842438620at_nat @t94 @t93))
2.33/2.58	(define @t456 () (= tptp.zero_zero_nat @t96))
2.33/2.58	(define @t457 () (tptp.ord_less_nat @t455 tptp.zero_zero_nat))
2.33/2.58	(define @t458 () (_ tptp.ord_less_nat @t96))
2.33/2.58	(define @t459 () (_ @t458 tptp.zero_zero_nat))
2.33/2.58	(define @t460 () (_ @t94 @t97))
2.33/2.58	(define @t461 () (tptp.ord_less_nat @t460 tptp.zero_zero_nat))
2.33/2.58	(define @t462 () (tptp.member_nat @t97 @t93))
2.33/2.58	(define @t463 () (forall @t103 (or (not @t462) @t461 (= tptp.zero_zero_nat @t460))))
2.33/2.58	(define @t464 () (not @t463))
2.33/2.58	(define @t465 () (or @t464 @t459 @t456))
2.33/2.58	(define @t466 () (or @t459 @t456))
2.33/2.58	(define @t467 () (lambda @t221 (or (_ @t458 @t219) (= @t219 @t96))))
2.33/2.58	(define @t468 () (lambda @t236 (or @t406 (= @t219 @t234))))
2.33/2.58	(define @t469 () (_ @t468 @t96))
2.33/2.58	(define @t470 () (= tptp.zero_zero_nat @t98))
2.33/2.58	(define @t471 () (_ @t242 tptp.zero_zero_nat))
2.33/2.58	(define @t472 () (not @t101))
2.33/2.58	(define @t473 () (or @t472 @t471 @t470))
2.33/2.58	(define @t474 () (or @t471 @t470))
2.33/2.58	(define @t475 () (lambda @t221 (or (_ @t242 @t219) (= @t219 @t98))))
2.33/2.58	(define @t476 () (_ @t468 @t98))
2.33/2.58	(define @t477 () (=> @t101 (_ @t476 tptp.zero_zero_nat)))
2.33/2.58	(define @t478 () (forall @t103 @t477))
2.33/2.58	(define @t479 () (=> @t478 (_ @t469 tptp.zero_zero_nat)))
2.33/2.58	(define @t480 () (tptp.ord_less_nat @t4 tptp.zero_zero_nat))
2.33/2.58	(define @t481 () (tptp.groups1842438620at_nat @t425 @t431))
2.33/2.58	(define @t482 () (= tptp.zero_zero_nat @t7))
2.33/2.58	(define @t483 () (tptp.ord_less_nat @t7 tptp.zero_zero_nat))
2.33/2.58	(define @t484 () (= tptp.one_one_nat @t7))
2.33/2.58	(define @t485 () (tptp.ord_less_nat tptp.one_one_nat @t7))
2.33/2.58	(define @t486 () (forall @t8 (or (= tptp.zero_zero_nat @t448) (and (or @t485 @t484) (or @t483 @t482)))))
2.33/2.58	(define @t487 () (= tptp.zero_zero_nat @t481))
2.33/2.58	(define @t488 () (and @t487 @t486))
2.33/2.58	(define @t489 () (not @t488))
2.33/2.58	(define @t490 () (@quantifiers_skolemize @t486 0))
2.33/2.58	(define @t491 () (tptp.p @t490))
2.33/2.58	(define @t492 () (= tptp.zero_zero_nat @t491))
2.33/2.58	(define @t493 () (or @t492 (and (or (tptp.ord_less_nat tptp.one_one_nat @t490) (= tptp.one_one_nat @t490)) (or (tptp.ord_less_nat @t490 tptp.zero_zero_nat) (= tptp.zero_zero_nat @t490)))))
2.33/2.58	(define @t494 () (not @t493))
2.33/2.58	(define @t495 () (not @t486))
2.33/2.58	(define @t496 () (@purify @t53))
2.33/2.58	(define @t497 () (= tptp.p @t496))
2.33/2.58	(define @t498 () (_ tptp.collect_nat @t430))
2.33/2.58	(define @t499 () (_ tptp.groups1842438620at_nat @t425))
2.33/2.58	(define @t500 () (_ @t499 @t431))
2.33/2.58	(define @t501 () (_ tptp.collect_nat @t429))
2.33/2.58	(define @t502 () (_ @t64 @t501))
2.33/2.58	(define @t503 () (= tptp.zero_zero_nat @t502))
2.33/2.58	(define @t504 () (and @t503 @t486))
2.33/2.58	(define @t505 () (= @t54 @t504))
2.33/2.58	(define @t506 () (_ tptp.ord_less_nat @t7))
2.33/2.58	(define @t507 () (_ @t506 tptp.zero_zero_nat))
2.33/2.58	(define @t508 () (or @t507 @t482))
2.33/2.58	(define @t509 () (_ @t92 @t7))
2.33/2.58	(define @t510 () (or @t509 @t484))
2.33/2.58	(define @t511 () (and @t510 @t508))
2.33/2.58	(define @t512 () (= tptp.zero_zero_nat @t58))
2.33/2.58	(define @t513 () (or @t512 @t511))
2.33/2.58	(define @t514 () (not @t512))
2.33/2.58	(define @t515 () (or @t507 (= @t7 tptp.zero_zero_nat)))
2.33/2.58	(define @t516 () (_ @t506 @t219))
2.33/2.58	(define @t517 () (or @t516 (= @t219 @t7)))
2.33/2.58	(define @t518 () (lambda @t221 @t517))
2.33/2.58	(define @t519 () (_ @t468 @t7))
2.33/2.58	(define @t520 () (_ @t92 @t219))
2.33/2.58	(define @t521 () (lambda @t221 (or @t520 (= tptp.one_one_nat @t219))))
2.33/2.58	(define @t522 () (or @t520 (= @t219 tptp.one_one_nat)))
2.33/2.58	(define @t523 () (lambda @t221 @t522))
2.33/2.58	(define @t524 () (_ @t468 tptp.one_one_nat))
2.33/2.58	(define @t525 () (and (_ @t524 @t7) (_ @t519 tptp.zero_zero_nat)))
2.33/2.58	(define @t526 () (=> @t59 @t525))
2.33/2.58	(define @t527 () (forall @t8 @t526))
2.33/2.58	(define @t528 () (or @t428 (= @t79 tptp.zero_zero_nat)))
2.33/2.58	(define @t529 () (lambda @t81 @t528))
2.33/2.58	(define @t530 () (or (_ @t427 @t421) (= @t79 @t421)))
2.33/2.58	(define @t531 () (_ (lambda @t423 (_ tptp.collect_nat (lambda @t81 @t530))) tptp.zero_zero_nat))
2.33/2.58	(define @t532 () (= (_ @t64 @t531) tptp.zero_zero_nat))
2.33/2.58	(define @t533 () (and @t532 @t527))
2.33/2.58	(define @t534 () (_ @t427 @t219))
2.33/2.58	(define @t535 () (or @t534 (= @t219 @t79)))
2.33/2.58	(define @t536 () (lambda @t221 @t535))
2.33/2.58	(define @t537 () (_ @t468 @t79))
2.33/2.58	(define @t538 () (=> @t497 (= @t491 tptp.zero_zero_nat)))
2.33/2.58	(define @t539 () (@const 0 tptp.nat))
2.33/2.58	(define @t540 () (= tptp.zero_zero_nat @t539))
2.33/2.58	(define @t541 () (tptp.ord_less_nat @t539 tptp.zero_zero_nat))
2.33/2.58	(define @t542 () (or @t541 @t540))
2.33/2.58	(define @t543 () (= tptp.one_one_nat @t539))
2.33/2.58	(define @t544 () (tptp.ord_less_nat tptp.one_one_nat @t539))
2.33/2.58	(define @t545 () (or @t544 @t543))
2.33/2.58	(define @t546 () (and @t545 @t542))
2.33/2.58	(define @t547 () (not @t546))
2.33/2.58	(define @t548 () (not @t543))
2.33/2.58	(define @t549 () (not @t544))
2.33/2.58	(define @t550 () (and @t549 @t548))
2.33/2.58	(define @t551 () (not @t550))
2.33/2.58	(define @t552 () (= tptp.one_one_nat tptp.zero_zero_nat))
2.33/2.58	(define @t553 () (tptp.ord_less_nat tptp.one_one_nat tptp.zero_zero_nat))
2.33/2.58	(define @t554 () (_ @t92 tptp.zero_zero_nat))
2.33/2.58	(define @t555 () (or @t554 @t552))
2.33/2.58	(define @t556 () (tptp.ord_less_nat @t21 @t1))
2.33/2.58	(define @t557 () (not @t276))
2.33/2.58	(define @t558 () (tptp.ord_less_nat @t21 @t14))
2.33/2.58	(define @t559 () (not @t336))
2.33/2.58	(define @t560 () (and @t559 @t557))
2.33/2.58	(define @t561 () (tptp.ord_less_nat @t14 @t1))
2.33/2.58	(define @t562 () (or @t343 @t560 @t23))
2.33/2.58	(define @t563 () (or @t336 @t276))
2.33/2.58	(define @t564 () (=> @t563 @t23))
2.33/2.58	(define @t565 () (or @t336 (= @t21 @t14)))
2.33/2.58	(define @t566 () (_ @t22 @t219))
2.33/2.58	(define @t567 () (or @t566 (= @t219 @t21)))
2.33/2.58	(define @t568 () (lambda @t221 @t567))
2.33/2.58	(define @t569 () (_ @t468 @t21))
2.33/2.58	(define @t570 () (=> (_ @t569 @t14) @t23))
2.33/2.58	(define @t571 () (=> @t28 @t570))
2.33/2.58	(define @t572 () (not (= @t539 tptp.one_one_nat)))
2.33/2.58	(define @t573 () (and @t549 @t572))
2.33/2.58	(define @t574 () (not @t541))
2.33/2.58	(define @t575 () (or @t574 @t573 @t553))
2.33/2.58	(define @t576 () (forall @t30 (or (not @t561) (and (not @t558) @t557) @t556)))
2.33/2.58	(define @t577 () (@list false))
2.33/2.58	(define @t578 () (or @t574 @t550 @t553))
2.33/2.58	(define @t579 () (not @t540))
2.33/2.58	(define @t580 () (not @t553))
2.33/2.58	(define @t581 () (and @t580 @t540 @t544))
2.33/2.58	(define @t582 () (@purify @t499))
2.33/2.58	(define @t583 () (_ @t582 @t431))
2.33/2.58	(define @t584 () (= @t500 @t583))
2.33/2.58	(define @t585 () (= @t499 @t582))
2.33/2.58	(define @t586 () (and @t585 @t584))
2.33/2.58	(define @t587 () (tptp.collect_nat @t429))
2.33/2.58	(define @t588 () (_ @t64 @t587))
2.33/2.58	(define @t589 () (_ @t64 @t587))
2.33/2.58	(define @t590 () (= @t588 @t589))
2.33/2.58	(define @t591 () (= @t481 @t583))
2.33/2.58	(define @t592 () (not @t591))
2.33/2.58	(define @t593 () (not @t487))
2.33/2.58	(define @t594 () (not @t552))
2.33/2.58	(define @t595 () (and @t591 @t487 @t540 @t543 @t594))
2.33/2.58	(define @t596 () (tptp.p @t539))
2.33/2.58	(define @t597 () (= tptp.zero_zero_nat @t596))
2.33/2.58	(define @t598 () (or @t597 @t546))
2.33/2.58	(define @t599 () (_ @t53 @t539))
2.33/2.58	(define @t600 () (_ @t496 @t539))
2.33/2.58	(define @t601 () (= @t596 @t600))
2.33/2.58	(define @t602 () (not @t601))
2.33/2.58	(define @t603 () (or @t497 @t602))
2.33/2.58	(define @t604 () (tptp.ord_less_nat @t481 tptp.zero_zero_nat))
2.33/2.58	(define @t605 () (not @t432))
2.33/2.58	(define @t606 () (or @t605 @t604 @t487))
2.33/2.58	(define @t607 () (_ @t425 @t433))
2.33/2.58	(define @t608 () (= tptp.zero_zero_nat @t607))
2.33/2.58	(define @t609 () (or (not (tptp.member_nat @t433 @t431)) (tptp.ord_less_nat @t607 tptp.zero_zero_nat) @t608))
2.33/2.58	(define @t610 () (not @t609))
2.33/2.58	(define @t611 () (@list true))
2.33/2.58	(define @t612 () (= tptp.zero_zero_nat @t437))
2.33/2.58	(define @t613 () (not @t612))
2.33/2.58	(define @t614 () (= @t439 @t437))
2.33/2.58	(define @t615 () (not @t614))
2.33/2.58	(define @t616 () (= @t607 @t439))
2.33/2.58	(define @t617 () (not @t616))
2.33/2.58	(define @t618 () (not @t608))
2.33/2.58	(define @t619 () (and @t618 @t616 @t614))
2.33/2.58	(define @t620 () (=> @t497 (= @t434 tptp.zero_zero_nat)))
2.33/2.58	(define @t621 () (@purify @t325))
2.33/2.58	(define @t622 () (= @t187 @t621))
2.33/2.58	(define @t623 () (= tptp.zero_zero_nat @t434))
2.33/2.58	(define @t624 () (= @t621 @t436))
2.33/2.58	(define @t625 () (and @t622 @t443 @t623))
2.33/2.58	(define @t626 () (_ @t436 @t433))
2.33/2.58	(define @t627 () (= tptp.zero_zero_nat @t626))
2.33/2.58	(define @t628 () (=> (= @t436 @t621) (= @t626 tptp.zero_zero_nat)))
2.33/2.58	(assume @p1 (forall @t3 (= (_ @t2 @t1) @t1)))
2.33/2.58	(assume @p2 (forall @t13 (=> (forall @t12 (=> (not (= (_ @t5 @t10) tptp.zero_zero_nat)) (and (_ (_ tptp.ord_less_eq_nat @t10) @t4) (_ @t11 @t10)))) (=> @t9 @t6))))
2.33/2.58	(assume @p3 (forall @t20 (=> @t19 (=> @t17 @t15))))
2.33/2.58	(assume @p4 @t31)
2.33/2.58	(assume @p5 (forall (@list @t1 @t32) (= (_ (_ tptp.member_nat @t1) @t34) @t33)))
2.33/2.58	(assume @p6 (forall @t43 (=> @t42 (=> @t41 @t38))))
2.33/2.58	(assume @p7 (forall @t52 (=> @t51 (=> (_ @t49 @t44) @t47))))
2.33/2.58	(assume @p8 @t68)
2.33/2.58	(assume @p9 (forall @t74 (=> @t17 (=> @t73 (_ (_ tptp.ord_less_eq_nat @t71) @t70)))))
2.33/2.58	(assume @p10 (forall @t3 (= @t76 @t75)))
2.33/2.58	(assume @p11 (forall (@list @t78 @t77) (= (_ (_ tptp.ord_less_eq_nat_o (lambda @t81 (_ @t80 @t78))) (lambda @t81 (_ @t80 @t77))) (_ (_ tptp.ord_less_eq_set_nat @t78) @t77))))
2.33/2.58	(assume @p12 (forall (@list @t83 @t82) (= (_ (_ tptp.member_set_nat @t83) (_ tptp.set_or1086813439et_nat @t82)) (_ (_ tptp.ord_less_eq_set_nat @t83) @t82))))
2.33/2.58	(assume @p13 (forall @t86 (= (_ (_ tptp.ord_less_eq_set_nat @t85) @t84) @t42)))
2.33/2.58	(assume @p14 (forall @t91 (= @t90 (or @t87 @t75))))
2.33/2.58	(assume @p15 (not (_ @t92 tptp.one_one_nat)))
2.33/2.58	(assume @p16 @t107)
2.33/2.58	(assume @p17 (= @t115 (lambda @t112 (and @t111 @t110))))
2.33/2.58	(assume @p18 (forall (@list @t117 @t93) (=> (not @t123) (not (forall @t120 (=> (_ @t119 @t93) (= @t118 tptp.zero_zero_nat)))))))
2.33/2.58	(assume @p19 (forall @t134 (=> (_ @t16 @t133) @t132)))
2.33/2.58	(assume @p20 @t139)
2.33/2.58	(assume @p21 (forall @t138 (= (_ @t140 tptp.one_one_nat) @t4)))
2.33/2.58	(assume @p22 (forall @t151 (=> (_ @t50 @t150) @t149)))
2.33/2.58	(assume @p23 (forall @t154 (=> @t153 @t152)))
2.33/2.58	(assume @p24 (forall @t159 (=> (= @t45 @t158) @t157)))
2.33/2.58	(assume @p25 (forall @t162 (= (_ @t161 tptp.zero_zero_nat) tptp.zero_zero_nat)))
2.33/2.58	(assume @p26 (forall @t154 (=> @t152 (=> @t51 @t163))))
2.33/2.58	(assume @p27 (forall @t30 (=> @t19 (=> @t25 (_ @t24 @t1)))))
2.33/2.58	(assume @p28 (forall @t168 (=> @t167 @t166)))
2.33/2.58	(assume @p29 (forall @t86 (=> @t42 (=> @t170 @t169))))
2.33/2.58	(assume @p30 (forall (@list @t93 @t164 @t36) (=> @t173 (=> (_ @t171 @t93) (_ @t171 @t164)))))
2.33/2.58	(assume @p31 (forall @t176 (=> @t17 (=> (_ (_ tptp.ord_less_eq_nat @t133) @t21) @t175))))
2.33/2.58	(assume @p32 (forall @t138 (_ @t72 @t4)))
2.33/2.58	(assume @p33 (forall (@list @t178 @t164 @t93) (= (_ (_ tptp.groups1842438620at_nat (lambda @t8 (_ (_ tptp.groups1842438620at_nat @t179) @t164))) @t93) (_ (_ tptp.groups1842438620at_nat (lambda @t180 (_ (_ tptp.groups1842438620at_nat (lambda @t8 (_ @t179 @t177))) @t93))) @t164))))
2.33/2.58	(assume @p34 (forall (@list @t94 @t182 @t181) (=> (forall (@list @t10 @t185) (=> (_ (_ tptp.ord_less_nat @t10) @t185) (_ (_ tptp.ord_less_nat @t186) (_ @t94 @t185)))) (=> @t184 (_ (_ tptp.ord_less_eq_nat (_ @t94 @t182)) (_ @t94 @t181))))))
2.33/2.58	(assume @p35 (forall @t138 (= (_ @t187 @t4) tptp.zero_zero_nat)))
2.33/2.58	(assume @p36 (forall @t159 (=> (_ @t50 @t158) @t157)))
2.33/2.58	(assume @p37 (forall @t138 (=> @t191 @t189)))
2.33/2.58	(assume @p38 (not (_ @t188 tptp.zero_zero_nat)))
2.33/2.58	(assume @p39 (forall @t192 (_ @t72 @t36)))
2.33/2.58	(assume @p40 (= @t115 (lambda @t112 (and @t110 @t111))))
2.33/2.58	(assume @p41 (forall @t74 (=> @t15 @t196)))
2.33/2.58	(assume @p42 (forall @t138 (= (_ @t197 tptp.zero_zero_nat) @t190)))
2.33/2.58	(assume @p43 (forall @t199 (= (_ @t188 @t198) (and @t189 (_ @t188 @t160)))))
2.33/2.58	(assume @p44 (forall @t86 (=> @t205 (=> @t204 @t201))))
2.33/2.58	(assume @p45 (forall @t168 (=> @t207 @t173)))
2.33/2.58	(assume @p46 (forall @t86 (= @t205 (or @t201 @t203))))
2.33/2.58	(assume @p47 (forall @t212 (=> @t51 (=> (_ (_ tptp.ord_less_eq_nat @t211) @t21) @t210))))
2.33/2.58	(assume @p48 (forall @t74 (=> @t17 @t214)))
2.33/2.58	(assume @p49 (forall @t138 (_ @t197 @t4)))
2.33/2.58	(assume @p50 (forall @t86 (=> @t169 @t42)))
2.33/2.58	(assume @p51 (_ @t72 tptp.one_one_nat))
2.33/2.58	(assume @p52 (forall @t20 (=> @t28 @t215)))
2.33/2.58	(assume @p53 (forall @t217 (=> @t17 (=> (= @t158 @t44) @t216))))
2.33/2.58	(assume @p54 (forall (@list @t94 @t93 @t218) (= (_ @t222 @t218) (_ (_ tptp.groups1842438620at_nat (lambda @t221 (_ (_ tptp.times_times_nat @t220) @t218))) @t93))))
2.33/2.58	(assume @p55 (forall @t138 (= (not @t189) @t190)))
2.33/2.58	(assume @p56 (= @t230 (lambda @t227 (and @t226 @t225))))
2.33/2.58	(assume @p57 (forall @t199 (or @t233 @t232)))
2.33/2.58	(assume @p58 (= tptp.ord_less_nat (lambda @t236 (and (not @t235) (_ (_ tptp.ord_less_eq_nat @t234) @t219)))))
2.33/2.58	(assume @p59 (forall @t91 (=> @t90 (or @t75 @t87))))
2.33/2.58	(assume @p60 (forall (@list @t36 @t241 @t238 @t32) (=> (_ @t171 @t241) (=> (_ (_ tptp.ord_less_eq_set_nat @t241) @t240) @t237))))
2.33/2.58	(assume @p61 (forall @t176 (=> @t245 (=> (_ (_ tptp.ord_less_nat @t133) @t21) @t244))))
2.33/2.58	(assume @p62 (forall (@list @t246) (_ @t247 @t246)))
2.33/2.58	(assume @p63 (forall (@list @t93 @t117) (=> (forall @t103 (=> @t101 (= @t248 tptp.zero_zero_nat))) @t123)))
2.33/2.58	(assume @p64 (forall @t168 (=> (forall @t103 (=> @t101 @t249)) @t173)))
2.33/2.58	(assume @p65 (forall @t256 (= (_ (_ tptp.ord_less_eq_nat @t255) @t254) @t252)))
2.33/2.58	(assume @p66 (_ @t11 tptp.one_one_nat))
2.33/2.58	(assume @p67 (forall @t199 (=> @t232 (=> (not @t258) @t257))))
2.33/2.58	(assume @p68 (forall @t151 (=> (= @t45 @t150) @t149)))
2.33/2.58	(assume @p69 (forall @t262 (=> @t207 (=> @t261 @t260))))
2.33/2.58	(assume @p70 (forall @t74 (= (_ (_ tptp.times_times_nat @t89) @t21) @t265)))
2.33/2.58	(assume @p71 (= tptp.ord_less_set_nat (lambda @t270 (and @t269 (not @t268)))))
2.33/2.58	(assume @p72 (forall @t86 (=> @t203 (not (= @t39 @t36)))))
2.33/2.58	(assume @p73 (forall @t275 (=> @t153 (=> @t274 @t272))))
2.33/2.58	(assume @p74 (forall @t74 (=> @t245 (=> @t276 @t194))))
2.33/2.58	(assume @p75 (forall @t138 (= @t191 @t189)))
2.33/2.58	(assume @p76 (forall @t162 (_ @t231 @t277)))
2.33/2.58	(assume @p77 (forall @t3 (= @t278 (_ @t188 @t1))))
2.33/2.58	(assume @p78 (forall @t91 (=> @t215 (=> @t17 @t245))))
2.33/2.58	(assume @p79 (forall @t281 (= (_ (_ tptp.ord_le1613022364et_nat (_ tptp.set_or1086813439et_nat @t246)) (_ tptp.set_or1086813439et_nat @t279)) @t280)))
2.33/2.58	(assume @p80 (forall (@list @t93 @t164 @t21) (=> @t173 (=> (_ @t282 @t93) (_ @t282 @t164)))))
2.33/2.58	(assume @p81 (forall @t199 (= (= @t198 tptp.zero_zero_nat) (or @t190 @t283))))
2.33/2.58	(assume @p82 (forall @t285 (=> @t284 (= @t204 @t169))))
2.33/2.58	(assume @p83 (not (= tptp.zero_zero_nat tptp.one_one_nat)))
2.33/2.58	(assume @p84 (= tptp.ord_less_eq_set_nat (lambda @t270 (forall @t81 (=> @t287 @t286)))))
2.33/2.58	(assume @p85 (forall (@list @t94 @t93 @t117 @t164) (= (_ @t222 (_ @t121 @t164)) (_ (_ tptp.groups1842438620at_nat (lambda @t8 (_ (_ tptp.groups1842438620at_nat (lambda @t180 (_ (_ tptp.times_times_nat (_ @t94 @t7)) (_ @t117 @t177)))) @t164))) @t93))))
2.33/2.58	(assume @p86 (forall @t74 (=> @t17 (=> @t276 @t213))))
2.33/2.58	(assume @p87 (forall @t285 (=> @t170 (= @t42 @t169))))
2.33/2.58	(assume @p88 (forall @t256 (= (= @t255 @t254) (or @t288 @t258))))
2.33/2.58	(assume @p89 (forall @t199 (=> @t232 (=> @t233 @t258))))
2.33/2.58	(assume @p90 (= tptp.ord_less_eq_set_nat (lambda @t270 (_ (_ tptp.ord_less_eq_nat_o (lambda @t81 @t287)) (lambda @t81 @t286)))))
2.33/2.58	(assume @p91 (forall (@list @t246 @t279 @t289) (=> @t280 (=> (_ @t290 @t289) (_ @t247 @t289)))))
2.33/2.58	(assume @p92 (forall @t291 (=> @t51 (=> @t152 @t163))))
2.33/2.58	(assume @p93 (forall (@list @t21 @t1) (=> (_ @t24 tptp.one_one_nat) (=> @t294 (_ @t293 @t1)))))
2.33/2.58	(assume @p94 (forall @t138 (= @t189 @t191)))
2.33/2.58	(assume @p95 (forall @t86 (or @t42 @t170)))
2.33/2.58	(assume @p96 (forall @t297 (= @t296 (or @t295 @t15))))
2.33/2.58	(assume @p97 (forall @t304 (=> (forall @t302 (=> (_ (_ tptp.ord_less_eq_nat @t116) @t299) @t301)) @t303)))
2.33/2.58	(assume @p98 (forall @t306 (=> @t51 (=> (_ (_ tptp.ord_less_eq_set_nat @t150) @t44) @t305))))
2.33/2.58	(assume @p99 (= @t115 (lambda @t270 (and @t307 @t269))))
2.33/2.58	(assume @p100 (forall @t52 (=> @t51 (=> (= @t48 @t44) @t308))))
2.33/2.58	(assume @p101 (= tptp.ord_less_eq_nat (lambda @t227 (or (_ (_ tptp.ord_less_nat @t223) @t224) @t309))))
2.33/2.58	(assume @p102 (forall (@list @t1 @t21 @t14) (= @t310 (or @t15 @t295))))
2.33/2.58	(assume @p103 (forall @t52 (=> @t311 (=> @t148 @t47))))
2.33/2.58	(assume @p104 (forall @t74 (=> @t17 @t196)))
2.33/2.58	(assume @p105 (forall (@list @t32 @t1) (=> (forall @t103 (=> (forall @t315 (=> (_ (_ tptp.ord_less_nat @t313) @t97) @t314)) @t312)) @t33)))
2.33/2.58	(assume @p106 (forall @t52 (=> @t51 @t316)))
2.33/2.58	(assume @p107 (forall @t134 (=> @t317 @t132)))
2.33/2.58	(assume @p108 (forall @t291 (=> (not @t163) (=> @t51 @t311))))
2.33/2.58	(assume @p109 (forall @t43 (=> (=> @t42 (not @t41)) (=> (=> @t170 (not @t38)) (=> (=> @t38 (not @t321)) (=> (=> @t321 (not @t170)) (=> (=> @t41 (not @t320)) (not (=> @t320 @t318)))))))))
2.33/2.58	(assume @p110 (forall @t297 (=> @t322 (= @t296 @t15))))
2.33/2.58	(assume @p111 (forall @t281 (=> @t323 @t280)))
2.33/2.58	(assume @p112 (forall @t176 (=> @t245 (=> @t324 @t244))))
2.33/2.58	(assume @p113 (forall @t192 (= (= tptp.one_one_nat @t36) (= @t36 tptp.one_one_nat))))
2.33/2.58	(assume @p114 (forall @t275 (=> @t152 (=> @t274 (_ @t273 @t45)))))
2.33/2.58	(assume @p115 (forall @t20 (=> @t28 @t19)))
2.33/2.58	(assume @p116 (= @t325 @t187))
2.33/2.58	(assume @p117 (forall @t91 (=> @t294 (=> @t326 (_ (_ tptp.ord_less_eq_nat (_ @t263 @t1)) tptp.zero_zero_nat)))))
2.33/2.58	(assume @p118 (forall @t86 (=> @t203 @t284)))
2.33/2.58	(assume @p119 (forall @t20 (=> @t28 (not @t245))))
2.33/2.58	(assume @p120 (forall @t331 (=> (forall @t103 (=> @t312 @t330)) @t329)))
2.33/2.58	(assume @p121 (= tptp.ord_less_set_nat (lambda @t334 (and @t333 @t110))))
2.33/2.58	(assume @p122 (forall @t262 (=> @t173 (=> @t261 (_ @t172 @t259)))))
2.33/2.58	(assume @p123 (forall @t43 (=> @t203 (=> (_ @t200 @t35) (_ @t202 @t35)))))
2.33/2.58	(assume @p124 (= tptp.ord_less_nat (lambda @t227 (and @t226 @t335))))
2.33/2.58	(assume @p125 (forall @t30 (=> @t28 @t337)))
2.33/2.58	(assume @p126 (forall @t199 (=> @t257 @t232)))
2.33/2.58	(assume @p127 (forall (@list @t32 @t4) (=> (_ @t32 tptp.zero_zero_nat) (=> (forall (@list @t339) (=> (_ @t188 @t339) (=> (not (_ @t32 @t339)) (exists (@list @t338) (and (_ (_ tptp.ord_less_nat @t338) @t339) (not (_ @t32 @t338))))))) (_ @t32 @t4)))))
2.33/2.58	(assume @p128 (forall @t199 (=> @t257 @t191)))
2.33/2.58	(assume @p129 (forall @t3 (= (_ @t88 tptp.one_one_nat) @t1)))
2.33/2.58	(assume @p130 (forall @t30 (=> @t19 @t337)))
2.33/2.58	(assume @p131 (= tptp.ord_less_set_nat (lambda @t112 (and @t333 @t111))))
2.33/2.58	(assume @p132 (forall @t256 (= (_ (_ tptp.ord_less_nat @t255) @t254) @t340)))
2.33/2.58	(assume @p133 (forall @t168 (=> @t207 (not (=> @t173 @t166)))))
2.33/2.58	(assume @p134 (forall (@list @t238 @t32) (_ (_ tptp.ord_less_eq_set_nat @t240) @t238)))
2.33/2.58	(assume @p135 (forall (@list @t218 @t94 @t93) (= (_ @t341 @t96) (_ (_ tptp.groups1842438620at_nat (lambda @t221 (_ @t341 @t220))) @t93))))
2.33/2.58	(assume @p136 (forall @t3 (= (_ @t187 @t1) tptp.zero_zero_nat)))
2.33/2.58	(assume @p137 (forall @t3 (= (_ @t88 tptp.zero_zero_nat) tptp.zero_zero_nat)))
2.33/2.58	(assume @p138 (forall (@list @t279 @t246) (=> @t342 (= @t280 @t323))))
2.33/2.58	(assume @p139 (forall @t74 (=> @t245 @t196)))
2.33/2.58	(assume @p140 (forall @t192 (_ @t37 @t36)))
2.33/2.58	(assume @p141 (forall @t91 (=> @t245 @t343)))
2.33/2.58	(assume @p142 (forall @t30 (= (_ @t263 @t292) @t265)))
2.33/2.58	(assume @p143 (forall @t346 (= (_ (_ tptp.ord_less_eq_nat @t345) @t344) @t252)))
2.33/2.58	(assume @p144 (forall @t347 (_ @t172 @t93)))
2.33/2.58	(assume @p145 (forall @t351 (=> @t17 (=> @t350 (=> @t294 @t349)))))
2.33/2.58	(assume @p146 (forall @t304 (=> (forall @t302 (=> (_ (_ tptp.ord_less_nat @t116) @t299) @t301)) (=> (forall @t120 (_ @t300 @t116)) @t303))))
2.33/2.58	(assume @p147 (forall @t74 (=> @t17 (=> @t73 (_ @t293 @t264)))))
2.33/2.58	(assume @p148 (forall (@list @t164 @t93 @t355 @t352 @t353) (=> (forall @t363 (=> @t362 (exists @t361 (and (_ (_ tptp.member_nat @t359) @t93) (forall (@list @t360) (=> (and (= (_ @t355 @t360) @t125) (_ (_ tptp.member_nat @t360) @t93)) (= @t360 @t359))) (= (_ @t355 @t359) @t125))))) (=> (forall @t103 (=> @t101 (and @t358 @t357))) @t354))))
2.33/2.58	(assume @p149 (forall @t306 (=> @t51 (=> (= @t150 @t44) @t305))))
2.33/2.58	(assume @p150 (forall @t91 (=> @t365 (and @t278 @t364))))
2.33/2.58	(assume @p151 (forall @t74 (=> @t245 (=> @t131 @t194))))
2.33/2.58	(assume @p152 (forall @t217 (=> @t17 (=> (_ (_ tptp.ord_less_eq_set_nat @t158) @t44) @t216))))
2.33/2.58	(assume @p153 (forall @t91 (=> @t294 (=> @t366 (_ @t72 @t89)))))
2.33/2.58	(assume @p154 (forall @t86 (= (= @t85 @t84) @t169)))
2.33/2.58	(assume @p155 (forall @t176 (=> @t17 (=> @t324 @t175))))
2.33/2.58	(assume @p156 (forall @t192 (not (_ @t202 @t36))))
2.33/2.58	(assume @p157 (forall @t369 (=> @t184 (_ @t368 (_ @t367 @t250)))))
2.33/2.58	(assume @p158 (forall @t3 @t294))
2.33/2.58	(assume @p159 (forall @t106 (=> (forall @t103 (=> @t101 (_ @t72 @t98))) (_ @t72 @t96))))
2.33/2.58	(assume @p160 (forall (@list @t182 @t181 @t250 @t370) (=> @t184 (=> (_ (_ tptp.ord_less_eq_nat @t250) @t370) (_ @t368 (_ @t367 @t370))))))
2.33/2.58	(assume @p161 (forall @t347 (= (_ tptp.collect_nat (lambda @t81 @t371)) @t93)))
2.33/2.58	(assume @p162 (forall (@list @t93 @t164 @t117 @t355) (=> @t167 (=> (forall @t103 (=> @t249 (= @t248 @t356))) (= @t122 (_ @t372 @t164))))))
2.33/2.58	(assume @p163 (forall (@list @t45) (_ @t50 @t45)))
2.33/2.58	(assume @p164 (= tptp.ord_less_eq_set_nat (lambda @t112 (or @t332 (_ (_ tptp.ord_less_set_nat @t108) @t109)))))
2.33/2.58	(assume @p165 (forall @t192 (exists (@list @t373) (_ @t202 @t373))))
2.33/2.58	(assume @p166 (forall @t86 (or @t169 @t201 @t203)))
2.33/2.58	(assume @p167 (forall @t369 (=> @t184 (_ (_ tptp.ord_less_eq_nat (_ @t253 @t182)) (_ @t253 @t181)))))
2.33/2.58	(assume @p168 (forall @t86 (= @t204 (or @t201 @t169))))
2.33/2.58	(assume @p169 (forall @t74 (=> @t15 @t214)))
2.33/2.58	(assume @p170 (forall @t3 (not (_ @t193 tptp.zero_zero_nat))))
2.33/2.58	(assume @p171 (forall @t91 (=> @t278 (=> @t364 @t365))))
2.33/2.58	(assume @p172 (forall @t369 (=> @t184 (=> (_ (_ tptp.ord_less_eq_nat @t181) @t250) @t374))))
2.33/2.58	(assume @p173 (forall @t86 (=> @t318 @t170)))
2.33/2.58	(assume @p174 (forall @t168 (=> @t167 @t173)))
2.33/2.58	(assume @p175 (forall @t13 (=> @t6 (not (=> (forall (@list @t375) (=> (not (= (_ @t5 @t375) tptp.zero_zero_nat)) (and (_ (_ tptp.ord_less_eq_nat @t375) @t4) (_ @t11 @t375)))) (not @t9))))))
2.33/2.58	(assume @p176 (forall @t86 (=> @t203 @t205)))
2.33/2.58	(assume @p177 (forall @t91 (=> @t245 @t215)))
2.33/2.58	(assume @p178 (forall @t275 (=> @t152 (=> (_ @t271 @t48) @t272))))
2.33/2.58	(assume @p179 (forall (@list @t182 @t250) (= (_ (_ tptp.member_nat @t182) (_ tptp.set_ord_atMost_nat @t250)) @t374)))
2.33/2.58	(assume @p180 (forall @t199 (=> @t258 @t232)))
2.33/2.58	(assume @p181 (forall @t297 (=> @t322 (= @t310 @t15))))
2.33/2.58	(assume @p182 (forall (@list @t164 @t376 @t93 @t355 @t352 @t353) (=> (forall @t363 (=> @t362 (and (_ (_ tptp.member_nat @t377) @t93) (= (_ @t355 @t377) @t125)))) (=> (forall @t103 (=> @t101 (and @t357 (= (_ @t376 @t356) @t97) @t358))) @t354))))
2.33/2.58	(assume @p183 (forall @t379 (=> (_ @t16 @t211) @t378)))
2.33/2.58	(assume @p184 (forall @t168 (=> @t173 (=> @t166 @t167))))
2.33/2.58	(assume @p185 (= tptp.ord_less_set_nat (lambda @t270 (and (not @t307) @t269))))
2.33/2.58	(assume @p186 (forall @t199 (= (= @t198 tptp.one_one_nat) (and @t381 @t380))))
2.33/2.58	(assume @p187 (forall @t162 (_ @t231 (_ @t161 @t277))))
2.33/2.58	(assume @p188 (forall @t192 (= (= tptp.zero_zero_nat @t36) (= @t36 tptp.zero_zero_nat))))
2.33/2.58	(assume @p189 (= @t115 (lambda (@list @t383 @t382) (and (_ (_ tptp.ord_less_eq_set_nat @t382) @t383) (_ @t384 @t382)))))
2.33/2.58	(assume @p190 (forall @t52 (=> @t163 @t316)))
2.33/2.58	(assume @p191 (forall @t91 (=> @t17 (=> @t19 @t15))))
2.33/2.58	(assume @p192 (forall @t168 (=> @t173 (=> (not @t167) @t207))))
2.33/2.58	(assume @p193 (forall @t347 (= (_ (_ tptp.groups1842438620at_nat (lambda (@list (@var "Uu" tptp.nat)) tptp.zero_zero_nat)) @t93) tptp.zero_zero_nat)))
2.33/2.58	(assume @p194 (forall (@list @t32 @t250 @t14) (=> (_ @t32 @t250) (=> (forall @t363 (=> (_ @t32 @t125) (_ (_ tptp.ord_less_eq_nat @t125) @t14))) (exists @t103 (and @t312 (forall @t315 (=> @t314 (_ (_ tptp.ord_less_eq_nat @t313) @t97)))))))))
2.33/2.58	(assume @p195 (forall (@list @t32 @t36 @t386) (=> @t237 (=> (forall @t103 (=> @t312 (_ @t127 @t386))) (not (forall (@list @t385) (=> (_ @t32 @t385) (not (forall @t361 (=> (_ @t32 @t359) (_ (_ tptp.ord_less_eq_nat @t359) @t385)))))))))))
2.33/2.58	(assume @p196 (forall @t212 (=> @t51 (=> (= @t211 @t21) @t210))))
2.33/2.58	(assume @p197 (forall @t199 (= (= tptp.one_one_nat @t198) (and @t380 @t381))))
2.33/2.58	(assume @p198 (forall @t346 (= (= @t345 @t344) (or @t258 @t288))))
2.33/2.58	(assume @p199 (forall (@list @t387 @t94 @t117) (=> (forall @t12 (=> (_ (_ tptp.member_nat @t10) @t387) (_ (_ tptp.ord_less_eq_nat @t186) (_ @t117 @t10)))) (_ (_ tptp.ord_less_eq_nat (_ @t95 @t387)) (_ @t121 @t387)))))
2.33/2.58	(assume @p200 (forall @t3 (_ @t16 @t1)))
2.33/2.58	(assume @p201 (= (lambda @t81 @t79) @t2))
2.33/2.58	(assume @p202 (forall @t91 (=> @t245 @t17)))
2.33/2.58	(assume @p203 (= tptp.ord_less_nat (lambda @t388 (and @t335 @t225))))
2.33/2.58	(assume @p204 (forall (@list @t164 @t93 @t32) (=> @t166 (= (_ @t165 @t390) (forall @t81 (=> @t389 @t239))))))
2.33/2.58	(assume @p205 (forall @t168 (=> @t167 (not (=> @t173 (not @t166))))))
2.33/2.58	(assume @p206 (forall @t331 (=> (forall @t103 (= @t312 @t330)) (= @t34 @t328))))
2.33/2.58	(assume @p207 (forall @t134 (=> (_ @t193 @t133) @t391)))
2.33/2.58	(assume @p208 (forall @t351 (=> @t17 (=> @t350 (=> @t366 @t349)))))
2.33/2.58	(assume @p209 (forall (@list @t164 @t93 @t327 @t32) (=> @t166 (=> (forall @t103 (=> @t249 (=> @t330 @t312))) (_ (_ tptp.ord_less_eq_set_nat (_ tptp.collect_nat (lambda @t81 (and @t392 @t389)))) (_ tptp.collect_nat (lambda @t81 (and @t371 @t239))))))))
2.33/2.58	(assume @p210 (forall (@list @t36 @t39 @t393) (=> @t203 (=> @t201 @t393))))
2.33/2.58	(assume @p211 (forall @t91 (=> @t294 (=> @t326 @t395))))
2.33/2.58	(assume @p212 @t396)
2.33/2.58	(assume @p213 (forall @t291 (=> @t311 @t51)))
2.33/2.58	(assume @p214 (forall @t199 (=> (or @t257 @t258) @t232)))
2.33/2.58	(assume @p215 (forall @t91 (=> (_ @t16 tptp.one_one_nat) (=> @t366 (=> (_ @t18 tptp.one_one_nat) (_ @t394 tptp.one_one_nat))))))
2.33/2.58	(assume @p216 (forall (@list @t77 @t401 @t398 @t397 @t355 @t117) (=> (forall @t120 (=> @t400 (= (_ @t401 @t399) @t116))) (=> (forall @t120 (=> @t400 (_ (_ tptp.member_nat @t399) @t397))) (=> (forall @t404 (=> @t403 (= (_ @t398 @t402) @t299))) (=> (forall @t404 (=> @t403 (_ (_ tptp.member_nat @t402) @t77))) (=> (forall @t120 (=> @t400 (= (_ @t355 @t399) @t118))) (= (_ @t121 @t77) (_ @t372 @t397)))))))))
2.33/2.58	(assume @p217 (forall @t281 (=> @t280 (=> @t342 @t323))))
2.33/2.58	(assume @p218 (= tptp.ord_less_eq_nat (lambda @t388 (or @t309 (_ (_ tptp.ord_less_nat @t224) @t223)))))
2.33/2.58	(assume @p219 (forall @t91 (=> (or (and @t366 @t76) (and @t326 @t294)) @t395)))
2.33/2.58	(assume @p220 (= (lambda (@list @t408) (exists (@list @t407) (_ @t408 @t407))) (lambda (@list @t405) (exists @t221 (and (forall (@list @t234) (=> @t406 (not (_ @t405 @t234)))) (_ @t405 @t219))))))
2.33/2.58	(assume @p221 (= tptp.ord_less_eq_set_nat (lambda @t334 (or (_ (_ tptp.ord_less_set_nat @t109) @t108) @t332))))
2.33/2.58	(assume @p222 (forall @t86 (=> @t204 (=> @t205 @t201))))
2.33/2.58	(assume @p223 (forall @t91 (=> @t76 (=> @t366 @t395))))
2.33/2.58	(assume @p224 (forall @t346 (= (_ (_ tptp.ord_less_nat @t345) @t344) @t340)))
2.33/2.58	(assume @p225 (forall @t262 (=> @t173 (=> (_ (_ tptp.ord_less_set_nat @t164) @t259) @t260))))
2.33/2.58	(assume @p226 (forall @t134 (=> @t317 @t391)))
2.33/2.58	(assume @p227 (forall @t379 (=> (= @t1 @t211) @t378)))
2.33/2.58	(assume @p228 (forall (@list @t93 @t32) (_ (_ tptp.ord_less_eq_set_nat @t390) @t93)))
2.33/2.58	(assume @p229 (= tptp.times_times_nat (lambda @t227 (_ (_ tptp.times_times_nat @t224) @t223))))
2.33/2.58	(assume @p230 (forall @t138 (= (_ @t135 tptp.one_one_nat) @t190)))
2.33/2.58	(assume @p231 (forall @t3 (=> @t76 @t75)))
2.33/2.58	(assume @p232 (forall (@list @t93 @t32 @t327) (= (_ @t172 (_ tptp.collect_nat (lambda @t81 (and @t392 @t239)))) (and (_ @t172 @t34) (_ @t172 @t328)))))
2.33/2.58	(assume @p233 (forall @t199 (=> (= @t160 @t198) (or @t381 @t283))))
2.33/2.58	(assume @p234 (_ @t72 tptp.zero_zero_nat))
2.33/2.58	(assume @p235 (forall @t3 (not (_ @t193 @t1))))
2.33/2.58	(assume @p236 (forall @t331 (= @t329 (forall @t81 (=> @t239 @t392)))))
2.33/2.58	(assume @p237 (forall @t138 (= (_ @t2 @t4) @t4)))
2.33/2.58	(assume @p238 (= tptp.ord_less_eq_set_nat (lambda @t270 (forall (@list @t409) (=> (_ @t410 @t267) (_ @t410 @t266))))))
2.33/2.58	(assume @p239 (= @t230 (lambda (@list @t79 @t411) (and (_ (_ tptp.ord_less_eq_nat @t411) @t79) (_ @t412 @t411)))))
2.33/2.58	(assume @p240 true)
2.33/2.58	(step @p241 (= tptp.number1551313001itions @t415) :rule refl :args (@t415))
2.33/2.58	(step @p242 (= tptp.ord_less_eq_set_nat @t416) :rule refl :args (@t416))
2.33/2.58	(step @p243 (= tptp.ord_less_eq_nat @t418) :rule refl :args (@t418))
2.33/2.58	(step @p244 (= tptp.set_or1086813439et_nat @t420) :rule refl :args (@t420))
2.33/2.58	(step @p245 (= tptp.set_ord_atMost_nat @t424) :rule refl :args (@t424))
2.33/2.58	(step @p246 :rule refl :args (@t437))
2.33/2.58	(step @p247 :rule refl :args ((tptp.times_times_nat @t438 @t433)))
2.33/2.58	(step @p248 :rule refl :args (@t433))
2.33/2.58	(step @p249 :rule refl :args (@t434))
2.33/2.58	(step @p250 :rule cong :premises (@p249 @p248) :args (@t439))
2.33/2.58	(step @p251 :rule trans :premises (@p250 @p247))
2.33/2.58	(step @p252 :rule refl :args (tptp.times_times_nat))
2.33/2.58	(step @p253 :rule ho_cong :premises (@p252 @p249))
2.33/2.58	(step @p254 :rule ho_cong :premises (@p253 @p248))
2.33/2.58	(step @p255 :rule cong :premises (@p254 @p251) :args ((= @t440 @t439)))
2.33/2.58	(step @p256 :rule symm :premises (@p255))
2.33/2.58	(step @p257 :rule refl :args ((_ @t441 @t433)))
2.33/2.58	(step @p258 :rule eq_resolve :premises (@p257 @p256))
2.33/2.58	(step @p259 :rule cong :premises (@p258 @p246) :args (@t442))
2.33/2.58	(step @p260 :rule refl :args (@t443))
2.33/2.58	(step @p261 :rule nary_cong :premises (@p260 @p259) :args (@t444))
2.33/2.58	(step @p262 :rule eq-symm :args (@t437 @t440))
2.33/2.58	(step @p263 :rule eq-symm :args (@t436 @t435))
2.33/2.58	(step @p264 :rule nary_cong :premises (@p263 @p262) :args ((and (= @t436 @t435) (= @t437 @t440))))
2.33/2.58	(step @p265 :rule trans :premises (@p264 @p261))
2.33/2.58	(step @p266 :rule evaluate :args ((and true true)))
2.33/2.58	(step @p267 :rule eq-refl :args (@t440))
2.33/2.58	(step @p268 :rule refl :args ((_ @t441 @t433)))
2.33/2.58	(step @p269 :rule ho_cong :premises (@p253 @p248))
2.33/2.58	(step @p270 :rule trans :premises (@p269 @p268))
2.33/2.58	(step @p271 :rule cong :premises (@p270 @p254) :args (@t446))
2.33/2.58	(step @p272 :rule symm :premises (@p271))
2.33/2.58	(step @p273 :rule eq_resolve :premises (@p257 @p272))
2.33/2.58	(step @p274 :rule refl :args (@t440))
2.33/2.58	(step @p275 :rule cong :premises (@p274 @p273) :args (@t447))
2.33/2.58	(step @p276 :rule trans :premises (@p275 @p267))
2.33/2.58	(step @p277 :rule eq-refl :args (@t435))
2.33/2.58	(step @p278 :rule nary_cong :premises (@p277 @p276) :args ((and (= @t435 @t435) @t447)))
2.33/2.58	(step @p279 :rule trans :premises (@p278 @p266))
2.33/2.58	(step @p280 :rule refl :args (@t433))
2.33/2.58	(step @p281 :rule skolem_intro :args (@t436))
2.33/2.58	(step @p282 :rule ho_cong :premises (@p281 @p280))
2.33/2.58	(step @p283 :rule cong :premises (@p274 @p282) :args (@t442))
2.33/2.58	(step @p284 :rule refl :args (@t435))
2.33/2.58	(step @p285 :rule cong :premises (@p284 @p281) :args (@t443))
2.33/2.58	(step @p286 :rule nary_cong :premises (@p285 @p283) :args (@t444))
2.33/2.58	(step @p287 :rule trans :premises (@p264 @p286 @p279))
2.33/2.58	(step @p288 :rule true_elim :premises (@p287))
2.33/2.58	(step @p289 :rule eq_resolve :premises (@p288 @p265))
2.33/2.58	(step @p290 :rule and_elim :premises (@p289) :args (1))
2.33/2.58	(step @p291 :rule eq-symm :args (@t449 @t450))
2.33/2.58	(step @p292 :rule cong :premises (@p291) :args ((forall @t8 (= @t449 @t450))))
2.33/2.58	(step @p293 :rule refl :args (@t450))
2.33/2.58	(step @p294 :rule refl :args ((tptp.times_times_nat @t58 @t7)))
2.33/2.58	(step @p295 :rule refl :args (@t7))
2.33/2.58	(step @p296 :rule refl :args (@t448))
2.33/2.58	(step @p297 :rule cong :premises (@p296 @p295) :args (@t449))
2.33/2.58	(step @p298 :rule trans :premises (@p297 @p294))
2.33/2.58	(step @p299 :rule ho_cong :premises (@p252 @p296))
2.33/2.58	(step @p300 :rule ho_cong :premises (@p299 @p295))
2.33/2.58	(step @p301 :rule cong :premises (@p300 @p298) :args ((= (_ (_ tptp.times_times_nat @t448) @t7) @t449)))
2.33/2.58	(step @p302 :rule symm :premises (@p301))
2.33/2.58	(step @p303 :rule refl :args (@t62))
2.33/2.58	(step @p304 :rule eq_resolve :premises (@p303 @p302))
2.33/2.58	(step @p305 :rule refl :args (@t58))
2.33/2.58	(step @p306 :rule cong :premises (@p305 @p296) :args ((= @t58 @t448)))
2.33/2.58	(step @p307 :rule symm :premises (@p306))
2.33/2.58	(step @p308 :rule eq_resolve :premises (@p305 @p307))
2.33/2.58	(step @p309 :rule ho_cong :premises (@p252 @p308))
2.33/2.58	(step @p310 :rule ho_cong :premises (@p309 @p295))
2.33/2.58	(step @p311 :rule trans :premises (@p310 @p304))
2.33/2.58	(step @p312 :rule cong :premises (@p311 @p293) :args (@t451))
2.33/2.58	(step @p313 :rule cong :premises (@p312) :args ((forall @t8 @t451)))
2.33/2.58	(step @p314 :rule trans :premises (@p313 @p292))
2.33/2.58	(step @p315 :rule eq-symm :args (@t450 @t62))
2.33/2.58	(step @p316 :rule beta-reduce :args ((= @t452 @t62)))
2.33/2.58	(step @p317 :rule refl :args (@t450))
2.33/2.58	(step @p318 :rule cong :premises (@p317 @p316) :args (@t453))
2.33/2.58	(step @p319 :rule trans :premises (@p318 @p315))
2.33/2.58	(step @p320 :rule cong :premises (@p319) :args (@t454))
2.33/2.58	(step @p321 :rule trans :premises (@p320 @p314))
2.33/2.58	(step @p322 :rule quant-unused-vars :args ((= (forall @t8 true) true)))
2.33/2.58	(step @p323 :rule eq-refl :args (@t452))
2.33/2.58	(step @p324 :rule cong :premises (@p323) :args ((forall @t8 (= @t452 @t452))))
2.33/2.58	(step @p325 :rule trans :premises (@p324 @p322))
2.33/2.58	(step @p326 :rule refl :args (@t452))
2.33/2.58	(step @p327 :rule refl :args (@t7))
2.33/2.58	(step @p328 :rule skolem_intro :args (@t425))
2.33/2.58	(step @p329 :rule ho_cong :premises (@p328 @p327))
2.33/2.58	(step @p330 :rule cong :premises (@p329 @p326) :args (@t453))
2.33/2.58	(step @p331 :rule cong :premises (@p330) :args (@t454))
2.33/2.58	(step @p332 :rule trans :premises (@p331 @p325))
2.33/2.58	(step @p333 :rule true_elim :premises (@p332))
2.33/2.58	(step @p334 :rule eq_resolve :premises (@p333 @p321))
2.33/2.58	(step @p335 :rule instantiate :premises (@p334) :args ((@list @t433)))
2.33/2.58	(step @p336 :rule refl :args (@t455))
2.33/2.58	(step @p337 :rule refl :args (@t96))
2.33/2.58	(step @p338 :rule cong :premises (@p337 @p336) :args ((= @t96 @t455)))
2.33/2.58	(step @p339 :rule symm :premises (@p338))
2.33/2.58	(step @p340 :rule eq_resolve :premises (@p337 @p339))
2.33/2.58	(step @p341 :rule refl :args (tptp.zero_zero_nat))
2.33/2.58	(step @p342 :rule cong :premises (@p341 @p340) :args (@t456))
2.33/2.58	(step @p343 :rule refl :args ((tptp.ord_less_nat @t96 tptp.zero_zero_nat)))
2.33/2.58	(step @p344 :rule cong :premises (@p336 @p341) :args (@t457))
2.33/2.58	(step @p345 :rule trans :premises (@p344 @p343))
2.33/2.58	(step @p346 :rule refl :args (tptp.ord_less_nat))
2.33/2.58	(step @p347 :rule ho_cong :premises (@p346 @p336))
2.33/2.58	(step @p348 :rule ho_cong :premises (@p347 @p341))
2.33/2.58	(step @p349 :rule cong :premises (@p348 @p345) :args ((= (_ (_ tptp.ord_less_nat @t455) tptp.zero_zero_nat) @t457)))
2.33/2.58	(step @p350 :rule symm :premises (@p349))
2.33/2.58	(step @p351 :rule refl :args (@t459))
2.33/2.58	(step @p352 :rule eq_resolve :premises (@p351 @p350))
2.33/2.58	(step @p353 :rule ho_cong :premises (@p346 @p340))
2.33/2.58	(step @p354 :rule ho_cong :premises (@p353 @p341))
2.33/2.58	(step @p355 :rule trans :premises (@p354 @p352))
2.33/2.58	(step @p356 :rule refl :args (@t464))
2.33/2.58	(step @p357 :rule nary_cong :premises (@p356 @p355 @p342) :args (@t465))
2.33/2.58	(step @p358 :rule cong :premises (@p357) :args ((forall @t106 @t465)))
2.33/2.58	(step @p359 :rule aci_norm :args ((= (or @t464 @t466) @t465)))
2.33/2.58	(step @p360 :rule bool-impl-elim :args (@t463 @t466))
2.33/2.58	(step @p361 :rule trans :premises (@p360 @p359))
2.33/2.58	(step @p362 :rule cong :premises (@p361) :args ((forall @t106 (=> @t463 @t466))))
2.33/2.58	(step @p363 :rule trans :premises (@p362 @p358))
2.33/2.58	(step @p364 :rule beta-reduce :args ((= (_ @t467 tptp.zero_zero_nat) @t466)))
2.33/2.58	(step @p365 :rule refl :args (tptp.zero_zero_nat))
2.33/2.58	(step @p366 :rule beta-reduce :args ((= @t469 @t467)))
2.33/2.58	(step @p367 :rule ho_cong :premises (@p366 @p365))
2.33/2.58	(step @p368 :rule trans :premises (@p367 @p364))
2.33/2.58	(step @p369 :rule refl :args (@t460))
2.33/2.58	(step @p370 :rule refl :args (@t98))
2.33/2.58	(step @p371 :rule cong :premises (@p370 @p369) :args ((= @t98 @t460)))
2.33/2.58	(step @p372 :rule symm :premises (@p371))
2.33/2.58	(step @p373 :rule eq_resolve :premises (@p370 @p372))
2.33/2.58	(step @p374 :rule cong :premises (@p341 @p373) :args (@t470))
2.33/2.58	(step @p375 :rule refl :args ((tptp.ord_less_nat @t98 tptp.zero_zero_nat)))
2.33/2.58	(step @p376 :rule cong :premises (@p369 @p341) :args (@t461))
2.33/2.58	(step @p377 :rule trans :premises (@p376 @p375))
2.33/2.58	(step @p378 :rule ho_cong :premises (@p346 @p369))
2.33/2.58	(step @p379 :rule ho_cong :premises (@p378 @p341))
2.33/2.58	(step @p380 :rule cong :premises (@p379 @p377) :args ((= (_ (_ tptp.ord_less_nat @t460) tptp.zero_zero_nat) @t461)))
2.33/2.58	(step @p381 :rule symm :premises (@p380))
2.33/2.58	(step @p382 :rule refl :args (@t471))
2.33/2.58	(step @p383 :rule eq_resolve :premises (@p382 @p381))
2.33/2.58	(step @p384 :rule ho_cong :premises (@p346 @p373))
2.33/2.58	(step @p385 :rule ho_cong :premises (@p384 @p341))
2.33/2.58	(step @p386 :rule trans :premises (@p385 @p383))
2.33/2.58	(step @p387 :rule refl :args (@t462))
2.33/2.58	(step @p388 :rule refl :args (@t101))
2.33/2.58	(step @p389 :rule cong :premises (@p388 @p387) :args ((= @t101 @t462)))
2.33/2.58	(step @p390 :rule symm :premises (@p389))
2.33/2.58	(step @p391 :rule eq_resolve :premises (@p388 @p390))
2.33/2.58	(step @p392 :rule cong :premises (@p391) :args (@t472))
2.33/2.58	(step @p393 :rule nary_cong :premises (@p392 @p386 @p374) :args (@t473))
2.33/2.58	(step @p394 :rule cong :premises (@p393) :args ((forall @t103 @t473)))
2.33/2.58	(step @p395 :rule aci_norm :args ((= (or @t472 @t474) @t473)))
2.33/2.58	(step @p396 :rule bool-impl-elim :args (@t101 @t474))
2.33/2.58	(step @p397 :rule trans :premises (@p396 @p395))
2.33/2.58	(step @p398 :rule cong :premises (@p397) :args ((forall @t103 (=> @t101 @t474))))
2.33/2.58	(step @p399 :rule trans :premises (@p398 @p394))
2.33/2.58	(step @p400 :rule beta-reduce :args ((= (_ @t475 tptp.zero_zero_nat) @t474)))
2.33/2.58	(step @p401 :rule beta-reduce :args ((= @t476 @t475)))
2.33/2.58	(step @p402 :rule ho_cong :premises (@p401 @p365))
2.33/2.58	(step @p403 :rule trans :premises (@p402 @p400))
2.33/2.58	(step @p404 :rule refl :args (@t101))
2.33/2.58	(step @p405 :rule cong :premises (@p404 @p403) :args (@t477))
2.33/2.58	(step @p406 :rule cong :premises (@p405) :args (@t478))
2.33/2.58	(step @p407 :rule trans :premises (@p406 @p399))
2.33/2.58	(step @p408 :rule cong :premises (@p407 @p368) :args (@t479))
2.33/2.58	(step @p409 :rule cong :premises (@p408) :args ((forall @t106 @t479)))
2.33/2.58	(step @p410 :rule trans :premises (@p409 @p363))
2.33/2.58	(step @p411 :rule refl :args (@t96))
2.33/2.58	(step @p412 :rule eq-symm :args (@t234 @t219))
2.33/2.58	(step @p413 :rule refl :args (@t406))
2.33/2.58	(step @p414 :rule nary_cong :premises (@p413 @p412) :args (@t417))
2.33/2.58	(step @p415 :rule cong :premises (@p414) :args (@t418))
2.33/2.58	(step @p416 :rule trans :premises (@p243 @p415))
2.33/2.58	(step @p417 :rule ho_cong :premises (@p416 @p411))
2.33/2.58	(step @p418 :rule ho_cong :premises (@p417 @p365))
2.33/2.58	(step @p419 :rule refl :args (@t98))
2.33/2.58	(step @p420 :rule ho_cong :premises (@p416 @p419))
2.33/2.58	(step @p421 :rule ho_cong :premises (@p420 @p365))
2.33/2.58	(step @p422 :rule cong :premises (@p404 @p421) :args (@t102))
2.33/2.58	(step @p423 :rule cong :premises (@p422) :args (@t104))
2.33/2.58	(step @p424 :rule cong :premises (@p423 @p418) :args (@t105))
2.33/2.58	(step @p425 :rule cong :premises (@p424) :args (@t107))
2.33/2.58	(step @p426 :rule trans :premises (@p425 @p410))
2.33/2.58	(step @p427 :rule eq_resolve :premises (@p16 @p426))
2.33/2.58	(step @p428 :rule instantiate :premises (@p427) :args ((@list @t431 @t425)))
2.33/2.58	(step @p429 :rule refl :args (@t480))
2.33/2.58	(step @p430 :rule refl :args (@t136))
2.33/2.58	(step @p431 :rule cong :premises (@p430 @p429) :args ((= @t136 @t480)))
2.33/2.58	(step @p432 :rule symm :premises (@p431))
2.33/2.58	(step @p433 :rule eq_resolve :premises (@p430 @p432))
2.33/2.58	(step @p434 :rule cong :premises (@p433) :args (@t137))
2.33/2.58	(step @p435 :rule cong :premises (@p434) :args (@t139))
2.33/2.58	(step @p436 :rule eq_resolve :premises (@p20 @p435))
2.33/2.58	(step @p437 :rule instantiate :premises (@p436) :args ((@list @t481)))
2.33/2.58	(step @p438 :rule cnf_and_pos :args (@t488 1))
2.33/2.58	(step @p439 :rule reordering :premises (@p438) :args ((or @t486 @t489)))
2.33/2.58	(step @p440 :rule refl :args (@t494))
2.33/2.58	(step @p441 :rule bool-double-not-elim :args (@t486))
2.33/2.58	(step @p442 :rule nary_cong :premises (@p441 @p440) :args ((or (not @t495) @t494)))
2.33/2.58	(assume-push @p990 @t495)
2.33/2.58	(step @p444 :rule skolemize :premises (@p990))
2.33/2.58	(step-pop @p990 :rule scope :premises (@p444))
2.33/2.58	(step @p445 :rule process_scope :premises (@p990) :args (@t494))
2.33/2.58	(step @p447 :rule implies_elim :premises (@p445))
2.33/2.58	(step @p448 :rule eq_resolve :premises (@p447 @p442))
2.33/2.58	(step @p449 :rule eq-symm :args (@t497 @t488))
2.33/2.58	(step @p450 :rule refl :args (@t486))
2.33/2.58	(step @p451 :rule refl :args ((tptp.groups1842438620at_nat @t425 @t498)))
2.33/2.58	(step @p452 :rule refl :args (@t431))
2.33/2.58	(step @p453 :rule refl :args (@t425))
2.33/2.58	(step @p454 :rule cong :premises (@p453 @p452) :args (@t481))
2.33/2.58	(step @p455 :rule trans :premises (@p454 @p451))
2.33/2.58	(step @p456 :rule refl :args (@t499))
2.33/2.58	(step @p457 :rule ho_cong :premises (@p456 @p452))
2.33/2.58	(step @p458 :rule cong :premises (@p457 @p455) :args ((= @t500 @t481)))
2.33/2.58	(step @p459 :rule symm :premises (@p458))
2.33/2.58	(step @p460 :rule refl :args ((_ @t499 @t498)))
2.33/2.58	(step @p461 :rule eq_resolve :premises (@p460 @p459))
2.33/2.58	(step @p462 :rule refl :args (@t498))
2.33/2.58	(step @p463 :rule cong :premises (@p462 @p452) :args ((= @t498 @t431)))
2.33/2.58	(step @p464 :rule symm :premises (@p463))
2.33/2.58	(step @p465 :rule eq_resolve :premises (@p462 @p464))
2.33/2.58	(step @p466 :rule eq-refl :args (@t429))
2.33/2.58	(step @p467 :rule skolem_intro :args (@t430))
2.33/2.58	(step @p468 :rule refl :args (@t429))
2.33/2.58	(step @p469 :rule cong :premises (@p468 @p467) :args ((= @t429 @t430)))
2.33/2.58	(step @p470 :rule trans :premises (@p469 @p466))
2.33/2.58	(step @p471 :rule true_elim :premises (@p470))
2.33/2.58	(step @p472 :rule refl :args (tptp.collect_nat))
2.33/2.58	(step @p473 :rule ho_cong :premises (@p472 @p471))
2.33/2.58	(step @p474 :rule trans :premises (@p473 @p465))
2.33/2.58	(step @p475 :rule eq-refl :args (@t63))
2.33/2.58	(step @p476 :rule refl :args (@t63))
2.33/2.58	(step @p477 :rule cong :premises (@p476 @p328) :args ((= @t63 @t425)))
2.33/2.58	(step @p478 :rule trans :premises (@p477 @p475))
2.33/2.58	(step @p479 :rule true_elim :premises (@p478))
2.33/2.58	(step @p480 :rule refl :args (tptp.groups1842438620at_nat))
2.33/2.58	(step @p481 :rule ho_cong :premises (@p480 @p479))
2.33/2.58	(step @p482 :rule ho_cong :premises (@p481 @p474))
2.33/2.58	(step @p483 :rule trans :premises (@p482 @p461))
2.33/2.58	(step @p484 :rule cong :premises (@p365 @p483) :args (@t503))
2.33/2.58	(step @p485 :rule nary_cong :premises (@p484 @p450) :args (@t504))
2.33/2.58	(step @p486 :rule eq-refl :args (@t53))
2.33/2.58	(step @p487 :rule skolem_intro :args (@t496))
2.33/2.58	(step @p488 :rule refl :args (@t53))
2.33/2.58	(step @p489 :rule cong :premises (@p488 @p487) :args ((= @t53 @t496)))
2.33/2.58	(step @p490 :rule trans :premises (@p489 @p486))
2.33/2.58	(step @p491 :rule true_elim :premises (@p490))
2.33/2.58	(step @p492 :rule refl :args (tptp.p))
2.33/2.58	(step @p493 :rule cong :premises (@p492 @p491) :args (@t54))
2.33/2.58	(step @p494 :rule cong :premises (@p493 @p485) :args (@t505))
2.33/2.58	(step @p495 :rule trans :premises (@p494 @p449))
2.33/2.58	(step @p496 :rule cong :premises (@p495) :args ((not @t505)))
2.33/2.58	(step @p497 :rule refl :args (@t482))
2.33/2.58	(step @p498 :rule refl :args (@t483))
2.33/2.58	(step @p499 :rule refl :args (@t507))
2.33/2.58	(step @p500 :rule cong :premises (@p499 @p498) :args ((= @t507 @t483)))
2.33/2.58	(step @p501 :rule symm :premises (@p500))
2.33/2.58	(step @p502 :rule eq_resolve :premises (@p499 @p501))
2.33/2.58	(step @p503 :rule nary_cong :premises (@p502 @p497) :args (@t508))
2.33/2.58	(step @p504 :rule refl :args (@t484))
2.33/2.58	(step @p505 :rule refl :args (@t485))
2.33/2.58	(step @p506 :rule refl :args (@t509))
2.33/2.58	(step @p507 :rule cong :premises (@p506 @p505) :args ((= @t509 @t485)))
2.33/2.58	(step @p508 :rule symm :premises (@p507))
2.33/2.58	(step @p509 :rule eq_resolve :premises (@p506 @p508))
2.33/2.58	(step @p510 :rule nary_cong :premises (@p509 @p504) :args (@t510))
2.33/2.58	(step @p511 :rule nary_cong :premises (@p510 @p503) :args (@t511))
2.33/2.58	(step @p512 :rule cong :premises (@p341 @p308) :args (@t512))
2.33/2.58	(step @p513 :rule nary_cong :premises (@p512 @p511) :args (@t513))
2.33/2.58	(step @p514 :rule cong :premises (@p513) :args ((forall @t8 @t513)))
2.33/2.58	(step @p515 :rule refl :args (@t511))
2.33/2.58	(step @p516 :rule bool-double-not-elim :args (@t512))
2.33/2.58	(step @p517 :rule nary_cong :premises (@p516 @p515) :args ((or (not @t514) @t511)))
2.33/2.58	(step @p518 :rule bool-impl-elim :args (@t514 @t511))
2.33/2.58	(step @p519 :rule trans :premises (@p518 @p517))
2.33/2.58	(step @p520 :rule cong :premises (@p519) :args ((forall @t8 (=> @t514 @t511))))
2.33/2.58	(step @p521 :rule trans :premises (@p520 @p514))
2.33/2.58	(step @p522 :rule eq-symm :args (@t7 tptp.zero_zero_nat))
2.33/2.58	(step @p523 :rule refl :args (@t507))
2.33/2.58	(step @p524 :rule nary_cong :premises (@p523 @p522) :args (@t515))
2.33/2.58	(step @p525 :rule beta-reduce :args ((= (_ (lambda @t221 (or @t516 (= @t7 @t219))) tptp.zero_zero_nat) @t515)))
2.33/2.58	(step @p526 :rule trans :premises (@p525 @p524))
2.33/2.58	(step @p527 :rule eq-symm :args (@t219 @t7))
2.33/2.58	(step @p528 :rule refl :args (@t516))
2.33/2.58	(step @p529 :rule nary_cong :premises (@p528 @p527) :args (@t517))
2.33/2.58	(step @p530 :rule cong :premises (@p529) :args (@t518))
2.33/2.58	(step @p531 :rule beta-reduce :args ((= @t519 @t518)))
2.33/2.58	(step @p532 :rule trans :premises (@p531 @p530))
2.33/2.58	(step @p533 :rule ho_cong :premises (@p532 @p365))
2.33/2.58	(step @p534 :rule trans :premises (@p533 @p526))
2.33/2.58	(step @p535 :rule beta-reduce :args ((= (_ @t521 @t7) @t510)))
2.33/2.58	(step @p536 :rule eq-symm :args (@t219 tptp.one_one_nat))
2.33/2.58	(step @p537 :rule refl :args (@t520))
2.33/2.58	(step @p538 :rule nary_cong :premises (@p537 @p536) :args (@t522))
2.33/2.58	(step @p539 :rule cong :premises (@p538) :args (@t523))
2.33/2.58	(step @p540 :rule beta-reduce :args ((= @t524 @t523)))
2.33/2.58	(step @p541 :rule trans :premises (@p540 @p539))
2.33/2.58	(step @p542 :rule ho_cong :premises (@p541 @p327))
2.33/2.58	(step @p543 :rule trans :premises (@p542 @p535))
2.33/2.58	(step @p544 :rule nary_cong :premises (@p543 @p534) :args (@t525))
2.33/2.58	(step @p545 :rule eq-symm :args (@t58 tptp.zero_zero_nat))
2.33/2.58	(step @p546 :rule cong :premises (@p545) :args (@t59))
2.33/2.58	(step @p547 :rule cong :premises (@p546 @p544) :args (@t526))
2.33/2.58	(step @p548 :rule cong :premises (@p547) :args (@t527))
2.33/2.58	(step @p549 :rule trans :premises (@p548 @p521))
2.33/2.58	(step @p550 :rule eq-symm :args (@t502 tptp.zero_zero_nat))
2.33/2.58	(step @p551 :rule eq-symm :args (@t79 tptp.zero_zero_nat))
2.33/2.58	(step @p552 :rule refl :args (@t428))
2.33/2.58	(step @p553 :rule nary_cong :premises (@p552 @p551) :args (@t528))
2.33/2.58	(step @p554 :rule cong :premises (@p553) :args (@t529))
2.33/2.58	(step @p555 :rule ho_cong :premises (@p472 @p554))
2.33/2.58	(step @p556 :rule beta-reduce :args ((= @t531 (_ tptp.collect_nat @t529))))
2.33/2.58	(step @p557 :rule trans :premises (@p556 @p555))
2.33/2.58	(step @p558 :rule refl :args (@t64))
2.33/2.58	(step @p559 :rule ho_cong :premises (@p558 @p557))
2.33/2.58	(step @p560 :rule cong :premises (@p559 @p365) :args (@t532))
2.33/2.58	(step @p561 :rule trans :premises (@p560 @p550))
2.33/2.58	(step @p562 :rule nary_cong :premises (@p561 @p549) :args (@t533))
2.33/2.58	(step @p563 :rule refl :args (@t54))
2.33/2.58	(step @p564 :rule cong :premises (@p563 @p562) :args ((= @t54 @t533)))
2.33/2.58	(step @p565 :rule eq-symm :args (@t533 @t54))
2.33/2.58	(step @p566 :rule trans :premises (@p565 @p564))
2.33/2.58	(step @p567 :rule cong :premises (@p566) :args ((not (= @t533 @t54))))
2.33/2.58	(step @p568 :rule ho_cong :premises (@p416 @p327))
2.33/2.58	(step @p569 :rule ho_cong :premises (@p568 @p365))
2.33/2.58	(step @p570 :rule refl :args (tptp.one_one_nat))
2.33/2.58	(step @p571 :rule ho_cong :premises (@p416 @p570))
2.33/2.58	(step @p572 :rule ho_cong :premises (@p571 @p327))
2.33/2.58	(step @p573 :rule nary_cong :premises (@p572 @p569) :args (@t57))
2.33/2.58	(step @p574 :rule refl :args (@t59))
2.33/2.58	(step @p575 :rule cong :premises (@p574 @p573) :args (@t60))
2.33/2.58	(step @p576 :rule cong :premises (@p575) :args (@t61))
2.33/2.58	(step @p577 :rule beta-reduce :args ((= (_ (lambda @t221 (or @t534 (= @t79 @t219))) @t421) @t530)))
2.33/2.58	(step @p578 :rule refl :args (@t421))
2.33/2.58	(step @p579 :rule eq-symm :args (@t219 @t79))
2.33/2.58	(step @p580 :rule refl :args (@t534))
2.33/2.58	(step @p581 :rule nary_cong :premises (@p580 @p579) :args (@t535))
2.33/2.58	(step @p582 :rule cong :premises (@p581) :args (@t536))
2.33/2.58	(step @p583 :rule beta-reduce :args ((= @t537 @t536)))
2.33/2.58	(step @p584 :rule trans :premises (@p583 @p582))
2.33/2.58	(step @p585 :rule ho_cong :premises (@p584 @p578))
2.33/2.58	(step @p586 :rule trans :premises (@p585 @p577))
2.33/2.58	(step @p587 :rule cong :premises (@p586) :args ((lambda @t81 (_ @t537 @t421))))
2.33/2.58	(step @p588 :rule ho_cong :premises (@p472 @p587))
2.33/2.58	(step @p589 :rule refl :args (@t79))
2.33/2.58	(step @p590 :rule ho_cong :premises (@p416 @p589))
2.33/2.58	(step @p591 :rule ho_cong :premises (@p590 @p578))
2.33/2.58	(step @p592 :rule cong :premises (@p591) :args (@t422))
2.33/2.58	(step @p593 :rule ho_cong :premises (@p472 @p592))
2.33/2.58	(step @p594 :rule trans :premises (@p593 @p588))
2.33/2.58	(step @p595 :rule cong :premises (@p594) :args (@t424))
2.33/2.58	(step @p596 :rule trans :premises (@p245 @p595))
2.33/2.58	(step @p597 :rule ho_cong :premises (@p596 @p365))
2.33/2.58	(step @p598 :rule ho_cong :premises (@p558 @p597))
2.33/2.58	(step @p599 :rule cong :premises (@p598 @p365) :args (@t65))
2.33/2.58	(step @p600 :rule nary_cong :premises (@p599 @p576) :args (@t66))
2.33/2.58	(step @p601 :rule cong :premises (@p600 @p563) :args (@t67))
2.33/2.58	(step @p602 :rule cong :premises (@p601) :args (@t68))
2.33/2.58	(step @p603 :rule trans :premises (@p602 @p567))
2.33/2.58	(step @p604 :rule trans :premises (@p603 @p496))
2.33/2.58	(step @p605 :rule eq_resolve :premises (@p8 @p604))
2.33/2.58	(step @p606 :rule not_equiv_elim1 :premises (@p605))
2.33/2.58	(step @p607 :rule cnf_or_neg :args (@t493 0))
2.33/2.58	(step @p608 :rule eq-symm :args (@t491 tptp.zero_zero_nat))
2.33/2.58	(step @p609 :rule refl :args (@t497))
2.33/2.58	(step @p610 :rule cong :premises (@p609 @p608) :args (@t538))
2.33/2.58	; WARNING: add trust step for TRUST
2.33/2.58	; trust TRUST THEORY_LEMMA
2.33/2.58	(step @p611 :rule trust :premises () :args (@t538))
2.33/2.58	(step @p612 :rule eq_resolve :premises (@p611 @p610))
2.33/2.58	(step @p613 :rule implies_elim :premises (@p612))
2.33/2.58	(step @p614 :rule chain_resolution :premises (@p613 @p607 @p606 @p448 @p439) :args ((@list true false true true) (@list @t492 @t497 @t493 @t488)))
2.33/2.58	(step @p615 :rule factoring :premises (@p614))
2.33/2.58	(step @p616 :rule cnf_and_pos :args (@t546 1))
2.33/2.58	(step @p617 :rule reordering :premises (@p616) :args ((or @t542 @t547)))
2.33/2.58	(step @p618 :rule cnf_and_pos :args (@t546 0))
2.33/2.58	(step @p619 :rule reordering :premises (@p618) :args ((or @t545 @t547)))
2.33/2.58	(step @p620 :rule cnf_and_pos :args (@t550 0))
2.33/2.58	(step @p621 :rule reordering :premises (@p620) :args ((or @t549 @t551)))
2.33/2.58	(step @p622 :rule refl :args (@t552))
2.33/2.58	(step @p623 :rule refl :args (@t553))
2.33/2.58	(step @p624 :rule refl :args (@t554))
2.33/2.58	(step @p625 :rule cong :premises (@p624 @p623) :args ((= @t554 @t553)))
2.33/2.58	(step @p626 :rule symm :premises (@p625))
2.33/2.58	(step @p627 :rule eq_resolve :premises (@p624 @p626))
2.33/2.58	(step @p628 :rule nary_cong :premises (@p627 @p622) :args (@t555))
2.33/2.58	(step @p629 :rule cong :premises (@p628) :args ((not @t555)))
2.33/2.58	(step @p630 :rule beta-reduce :args ((= (_ @t521 tptp.zero_zero_nat) @t555)))
2.33/2.58	(step @p631 :rule ho_cong :premises (@p541 @p365))
2.33/2.58	(step @p632 :rule trans :premises (@p631 @p630))
2.33/2.58	(step @p633 :rule cong :premises (@p632) :args ((not (_ @t524 tptp.zero_zero_nat))))
2.33/2.58	(step @p634 :rule ho_cong :premises (@p571 @p365))
2.33/2.58	(step @p635 :rule cong :premises (@p634) :args (@t396))
2.33/2.58	(step @p636 :rule trans :premises (@p635 @p633))
2.33/2.58	(step @p637 :rule trans :premises (@p636 @p629))
2.33/2.58	(step @p638 :rule eq_resolve :premises (@p212 @p637))
2.33/2.58	(step @p639 :rule not_or_elim :premises (@p638) :args (0))
2.33/2.58	(step @p640 :rule refl :args (@t556))
2.33/2.58	(step @p641 :rule refl :args (@t23))
2.33/2.58	(step @p642 :rule cong :premises (@p641 @p640) :args ((= @t23 @t556)))
2.33/2.58	(step @p643 :rule symm :premises (@p642))
2.33/2.58	(step @p644 :rule eq_resolve :premises (@p641 @p643))
2.33/2.58	(step @p645 :rule refl :args (@t557))
2.33/2.58	(step @p646 :rule refl :args (@t558))
2.33/2.58	(step @p647 :rule refl :args (@t336))
2.33/2.58	(step @p648 :rule cong :premises (@p647 @p646) :args ((= @t336 @t558)))
2.33/2.58	(step @p649 :rule symm :premises (@p648))
2.33/2.58	(step @p650 :rule eq_resolve :premises (@p647 @p649))
2.33/2.58	(step @p651 :rule cong :premises (@p650) :args (@t559))
2.33/2.58	(step @p652 :rule nary_cong :premises (@p651 @p645) :args (@t560))
2.33/2.58	(step @p653 :rule refl :args (@t561))
2.33/2.58	(step @p654 :rule refl :args (@t28))
2.33/2.58	(step @p655 :rule cong :premises (@p654 @p653) :args ((= @t28 @t561)))
2.33/2.58	(step @p656 :rule symm :premises (@p655))
2.33/2.58	(step @p657 :rule eq_resolve :premises (@p654 @p656))
2.33/2.58	(step @p658 :rule cong :premises (@p657) :args (@t343))
2.33/2.58	(step @p659 :rule nary_cong :premises (@p658 @p652 @p644) :args (@t562))
2.33/2.58	(step @p660 :rule cong :premises (@p659) :args ((forall @t30 @t562)))
2.33/2.58	(step @p661 :rule aci_norm :args ((= (or @t343 (or @t560 @t23)) @t562)))
2.33/2.58	(step @p662 :rule bool-or-de-morgan :args (@t336 @t276 false))
2.33/2.58	(step @p663 :rule nary_cong :premises (@p662 @p641) :args ((or (not @t563) @t23)))
2.33/2.58	(step @p664 :rule bool-impl-elim :args (@t563 @t23))
2.33/2.58	(step @p665 :rule trans :premises (@p664 @p663))
2.33/2.58	(step @p666 :rule refl :args (@t343))
2.33/2.58	(step @p667 :rule nary_cong :premises (@p666 @p665) :args ((or @t343 @t564)))
2.33/2.58	(step @p668 :rule trans :premises (@p667 @p661))
2.33/2.58	(step @p669 :rule bool-impl-elim :args (@t28 @t564))
2.33/2.58	(step @p670 :rule trans :premises (@p669 @p668))
2.33/2.58	(step @p671 :rule cong :premises (@p670) :args ((forall @t30 (=> @t28 @t564))))
2.33/2.58	(step @p672 :rule trans :premises (@p671 @p660))
2.33/2.58	(step @p673 :rule refl :args (@t23))
2.33/2.58	(step @p674 :rule eq-symm :args (@t21 @t14))
2.33/2.58	(step @p675 :rule refl :args (@t336))
2.33/2.58	(step @p676 :rule nary_cong :premises (@p675 @p674) :args (@t565))
2.33/2.58	(step @p677 :rule beta-reduce :args ((= (_ (lambda @t221 (or @t566 (= @t21 @t219))) @t14) @t565)))
2.33/2.58	(step @p678 :rule trans :premises (@p677 @p676))
2.33/2.58	(step @p679 :rule refl :args (@t14))
2.33/2.58	(step @p680 :rule eq-symm :args (@t219 @t21))
2.33/2.58	(step @p681 :rule refl :args (@t566))
2.33/2.58	(step @p682 :rule nary_cong :premises (@p681 @p680) :args (@t567))
2.33/2.58	(step @p683 :rule cong :premises (@p682) :args (@t568))
2.33/2.58	(step @p684 :rule beta-reduce :args ((= @t569 @t568)))
2.33/2.58	(step @p685 :rule trans :premises (@p684 @p683))
2.33/2.58	(step @p686 :rule ho_cong :premises (@p685 @p679))
2.33/2.58	(step @p687 :rule trans :premises (@p686 @p678))
2.33/2.58	(step @p688 :rule cong :premises (@p687 @p673) :args (@t570))
2.33/2.58	(step @p689 :rule refl :args (@t28))
2.33/2.58	(step @p690 :rule cong :premises (@p689 @p688) :args (@t571))
2.33/2.58	(step @p691 :rule cong :premises (@p690) :args ((forall @t30 @t571)))
2.33/2.58	(step @p692 :rule trans :premises (@p691 @p672))
2.33/2.58	(step @p693 :rule refl :args (@t21))
2.33/2.58	(step @p694 :rule ho_cong :premises (@p416 @p693))
2.33/2.58	(step @p695 :rule ho_cong :premises (@p694 @p679))
2.33/2.58	(step @p696 :rule cong :premises (@p695 @p673) :args (@t26))
2.33/2.58	(step @p697 :rule cong :premises (@p689 @p696) :args (@t29))
2.33/2.58	(step @p698 :rule cong :premises (@p697) :args (@t31))
2.33/2.58	(step @p699 :rule trans :premises (@p698 @p692))
2.33/2.58	(step @p700 :rule eq_resolve :premises (@p4 @p699))
2.33/2.58	(step @p701 :rule refl :args (@t553))
2.33/2.58	(step @p702 :rule eq-symm :args (@t539 tptp.one_one_nat))
2.33/2.58	(step @p703 :rule cong :premises (@p702) :args (@t572))
2.33/2.58	(step @p704 :rule refl :args (@t549))
2.33/2.58	(step @p705 :rule nary_cong :premises (@p704 @p703) :args (@t573))
2.33/2.58	(step @p706 :rule refl :args (@t574))
2.33/2.58	(step @p707 :rule nary_cong :premises (@p706 @p705 @p701) :args (@t575))
2.33/2.58	(step @p708 :rule refl :args (@t576))
2.33/2.58	(step @p709 :rule cong :premises (@p708 @p707) :args ((=> @t576 @t575)))
2.33/2.58	(assume-push @p992 @t576)
2.33/2.58	(step @p711 :rule instantiate :premises (@p700) :args ((@list @t539 tptp.zero_zero_nat tptp.one_one_nat)))
2.33/2.58	(step-pop @p992 :rule scope :premises (@p711))
2.33/2.58	(step @p712 :rule process_scope :premises (@p992) :args (@t575))
2.33/2.58	(step @p714 :rule eq_resolve :premises (@p712 @p709))
2.33/2.58	(step @p715 :rule implies_elim :premises (@p714))
2.33/2.58	(step @p716 :rule chain_resolution :premises (@p715 @p700) :args (@t577 (@list @t576)))
2.33/2.58	(step @p717 :rule cnf_or_pos :args (@t578))
2.33/2.58	(step @p718 :rule reordering :premises (@p717) :args ((or @t553 @t574 @t550 (not @t578))))
2.33/2.58	(step @p719 :rule cnf_or_pos :args (@t542))
2.33/2.58	(step @p720 :rule reordering :premises (@p719) :args ((or @t541 @t540 (not @t542))))
2.33/2.58	(step @p721 :rule refl :args (@t579))
2.33/2.58	(step @p722 :rule bool-double-not-elim :args (@t553))
2.33/2.58	(step @p723 :rule nary_cong :premises (@p722 @p704 @p721) :args ((or (not @t580) @t549 @t579)))
2.33/2.58	(assume-push @p994 @t580)
2.33/2.58	(assume-push @p995 @t540)
2.33/2.58	(assume-push @p996 @t544)
2.33/2.58	(step @p727 :rule evaluate :args ((= true false)))
2.33/2.58	(step @p728 :rule false_intro :premises (@p639))
2.33/2.58	(step @p729 :rule symm :premises (@p995))
2.33/2.58	(step @p730 :rule cong :premises (@p570 @p729) :args (@t544))
2.33/2.58	(step @p731 :rule true_intro :premises (@p996))
2.33/2.58	(step @p732 :rule symm :premises (@p731))
2.33/2.58	(step @p733 :rule trans :premises (@p732 @p730 @p728))
2.33/2.58	(step @p734 false :rule eq_resolve :premises (@p733 @p727))
2.33/2.58	(step-pop @p996 :rule scope :premises (@p734))
2.33/2.58	(step-pop @p997 :rule scope :premises (@p996))
2.33/2.58	(step-pop @p998 :rule scope :premises (@p997))
2.33/2.58	(step @p735 :rule process_scope :premises (@p998) :args (false))
2.33/2.58	(assume-push @p1000 @t580)
2.33/2.58	(assume-push @p1001 @t544)
2.33/2.58	(assume-push @p1002 @t540)
2.33/2.58	(step @p742 :rule and_intro :premises (@p639 @p1002 @p1001))
2.33/2.58	(step-pop @p1002 :rule scope :premises (@p742))
2.33/2.58	(step-pop @p1003 :rule scope :premises (@p1002))
2.33/2.58	(step-pop @p1004 :rule scope :premises (@p1003))
2.33/2.58	(step @p743 :rule process_scope :premises (@p1004) :args (@t581))
2.33/2.58	(step @p747 :rule implies_elim :premises (@p743))
2.33/2.58	(step @p748 :rule resolution :premises (@p747 @p735) :args (true @t581))
2.33/2.58	(step @p749 :rule not_and :premises (@p748))
2.33/2.58	(step @p750 :rule eq_resolve :premises (@p749 @p723))
2.33/2.58	(step @p751 :rule chain_resolution :premises (@p750 @p639 @p720 @p718 @p716 @p639 @p621) :args ((@list true false true false true true) (@list @t553 @t540 @t541 @t578 @t553 @t550)))
2.33/2.58	(step @p752 :rule factoring :premises (@p751))
2.33/2.58	(step @p753 :rule cnf_or_pos :args (@t545))
2.33/2.58	(step @p754 :rule reordering :premises (@p753) :args ((or @t544 @t543 (not @t545))))
2.33/2.58	(step @p755 :rule cnf_and_pos :args (@t550 1))
2.33/2.58	(step @p756 :rule reordering :premises (@p755) :args ((or @t548 @t551)))
2.33/2.58	(step @p757 :rule not_or_elim :premises (@p638) :args (1))
2.33/2.58	(step @p758 :rule refl :args (@t583))
2.33/2.58	(step @p759 :rule cong :premises (@p461 @p758) :args (@t584))
2.33/2.58	(step @p760 :rule refl :args (@t585))
2.33/2.58	(step @p761 :rule nary_cong :premises (@p760 @p759) :args (@t586))
2.33/2.58	(step @p762 :rule eq-symm :args (@t583 @t500))
2.33/2.58	(step @p763 :rule eq-symm :args (@t582 @t499))
2.33/2.58	(step @p764 :rule nary_cong :premises (@p763 @p762) :args ((and (= @t582 @t499) (= @t583 @t500))))
2.33/2.58	(step @p765 :rule trans :premises (@p764 @p761))
2.33/2.58	(step @p766 :rule eq-refl :args (@t588))
2.33/2.58	(step @p767 :rule refl :args (@t587))
2.33/2.58	(step @p768 :rule refl :args (@t64))
2.33/2.58	(step @p769 :rule ho_cong :premises (@p768 @p767))
2.33/2.58	(step @p770 :rule refl :args ((_ @t64 @t501)))
2.33/2.58	(step @p771 :rule cong :premises (@p767) :args (@t589))
2.33/2.58	(step @p772 :rule trans :premises (@p771 @p770))
2.33/2.58	(step @p773 :rule cong :premises (@p772 @p769) :args ((= @t589 @t588)))
2.33/2.58	(step @p774 :rule symm :premises (@p773))
2.33/2.58	(step @p775 :rule refl :args (@t502))
2.33/2.58	(step @p776 :rule eq_resolve :premises (@p775 @p774))
2.33/2.58	(step @p777 :rule refl :args (@t588))
2.33/2.58	(step @p778 :rule cong :premises (@p777 @p776) :args (@t590))
2.33/2.58	(step @p779 :rule trans :premises (@p778 @p766))
2.33/2.58	(step @p780 :rule eq-refl :args (@t64))
2.33/2.58	(step @p781 :rule nary_cong :premises (@p780 @p779) :args ((and (= @t64 @t64) @t590)))
2.33/2.58	(step @p782 :rule trans :premises (@p781 @p266))
2.33/2.58	(step @p783 :rule cong :premises (@p467) :args (@t431))
2.33/2.58	(step @p784 :rule ho_cong :premises (@p480 @p328))
2.33/2.58	(step @p785 :rule skolem_intro :args (@t582))
2.33/2.58	(step @p786 :rule trans :premises (@p785 @p784))
2.33/2.58	(step @p787 :rule ho_cong :premises (@p786 @p783))
2.33/2.58	(step @p788 :rule ho_cong :premises (@p784 @p783))
2.33/2.58	(step @p789 :rule cong :premises (@p788 @p787) :args (@t584))
2.33/2.58	(step @p790 :rule cong :premises (@p784 @p786) :args (@t585))
2.33/2.58	(step @p791 :rule nary_cong :premises (@p790 @p789) :args (@t586))
2.33/2.58	(step @p792 :rule trans :premises (@p764 @p791 @p782))
2.33/2.58	(step @p793 :rule true_elim :premises (@p792))
2.33/2.58	(step @p794 :rule eq_resolve :premises (@p793 @p765))
2.33/2.58	(step @p795 :rule and_elim :premises (@p794) :args (1))
2.33/2.58	(step @p796 :rule refl :args (@t592))
2.33/2.58	(step @p797 :rule refl :args (@t548))
2.33/2.58	(step @p798 :rule refl :args (@t593))
2.33/2.58	(step @p799 :rule bool-double-not-elim :args (@t552))
2.33/2.58	(step @p800 :rule nary_cong :premises (@p799 @p798 @p797 @p721 @p796) :args ((or (not @t594) @t593 @t548 @t579 @t592)))
2.33/2.58	(assume-push @p1006 @t591)
2.33/2.58	(assume-push @p1007 @t487)
2.33/2.58	(assume-push @p1008 @t540)
2.33/2.58	(assume-push @p1009 @t543)
2.33/2.58	(assume-push @p1010 @t594)
2.33/2.58	(step @p806 :rule evaluate :args ((= false true)))
2.33/2.58	(step @p807 :rule trans :premises (@p1007 @p795))
2.33/2.58	(step @p808 :rule symm :premises (@p807))
2.33/2.58	(step @p809 :rule symm :premises (@p1008))
2.33/2.58	(step @p810 :rule trans :premises (@p1009 @p809 @p1007))
2.33/2.58	(step @p811 :rule trans :premises (@p810 @p795 @p808))
2.33/2.58	(step @p812 :rule true_intro :premises (@p811))
2.33/2.58	(step @p813 :rule false_intro :premises (@p757))
2.33/2.58	(step @p814 :rule symm :premises (@p813))
2.33/2.58	(step @p815 :rule trans :premises (@p814 @p812))
2.33/2.58	(step @p816 false :rule eq_resolve :premises (@p815 @p806))
2.33/2.58	(step-pop @p1010 :rule scope :premises (@p816))
2.33/2.58	(step-pop @p1011 :rule scope :premises (@p1010))
2.33/2.58	(step-pop @p1012 :rule scope :premises (@p1011))
2.33/2.58	(step-pop @p1013 :rule scope :premises (@p1012))
2.33/2.58	(step-pop @p1014 :rule scope :premises (@p1013))
2.33/2.58	(step @p817 :rule process_scope :premises (@p1014) :args (false))
2.33/2.58	(assume-push @p1016 @t594)
2.33/2.58	(assume-push @p1017 @t487)
2.33/2.58	(assume-push @p1018 @t543)
2.33/2.58	(assume-push @p1019 @t540)
2.33/2.58	(assume-push @p1020 @t591)
2.33/2.58	(step @p828 :rule and_intro :premises (@p795 @p1017 @p1019 @p1018 @p757))
2.33/2.58	(step-pop @p1020 :rule scope :premises (@p828))
2.33/2.58	(step-pop @p1021 :rule scope :premises (@p1020))
2.33/2.58	(step-pop @p1022 :rule scope :premises (@p1021))
2.33/2.58	(step-pop @p1023 :rule scope :premises (@p1022))
2.33/2.58	(step-pop @p1024 :rule scope :premises (@p1023))
2.33/2.58	(step @p829 :rule process_scope :premises (@p1024) :args (@t595))
2.33/2.58	(step @p835 :rule implies_elim :premises (@p829))
2.33/2.58	(step @p836 :rule resolution :premises (@p835 @p817) :args (true @t595))
2.33/2.58	(step @p837 :rule not_and :premises (@p836))
2.33/2.58	(step @p838 :rule eq_resolve :premises (@p837 @p800))
2.33/2.58	(step @p839 :rule chain_resolution :premises (@p838 @p795 @p757 @p720 @p718 @p716 @p639 @p756) :args ((@list false true false true false true true) (@list @t591 @t552 @t540 @t541 @t578 @t553 @t550)))
2.33/2.58	(step @p840 :rule factoring :premises (@p839))
2.33/2.58	(step @p841 :rule chain_resolution :premises (@p840 @p754 @p752 @p619) :args ((@list false true false) (@list @t543 @t544 @t545)))
2.33/2.58	(step @p842 :rule factoring :premises (@p841))
2.33/2.58	(step @p843 :rule chain_resolution :premises (@p842 @p617) :args (@t577 (@list @t542)))
2.33/2.58	(step @p844 :rule factoring :premises (@p843))
2.33/2.58	(step @p845 :rule cnf_and_neg :args (@t488))
2.33/2.58	(assume-push @p1026 @t486)
2.33/2.58	(step @p847 :rule instantiate :premises (@p1026) :args ((@list @t539)))
2.33/2.58	(step-pop @p1026 :rule scope :premises (@p847))
2.33/2.58	(step @p848 :rule process_scope :premises (@p1026) :args (@t598))
2.33/2.58	(step @p850 :rule implies_elim :premises (@p848))
2.33/2.58	(step @p851 :rule not_equiv_elim2 :premises (@p605))
2.33/2.58	(step @p852 :rule cnf_or_pos :args (@t598))
2.33/2.58	(step @p853 :rule reordering :premises (@p852) :args ((or @t597 @t546 (not @t598))))
2.33/2.58	(step @p854 :rule eq-symm :args (@t596 tptp.zero_zero_nat))
2.33/2.58	(step @p855 :rule eq-refl :args (tptp.zero_zero_nat))
2.33/2.58	(step @p856 :rule beta-reduce :args ((= @t599 tptp.zero_zero_nat)))
2.33/2.58	(step @p857 :rule cong :premises (@p365 @p856) :args ((= tptp.zero_zero_nat @t599)))
2.33/2.58	(step @p858 :rule trans :premises (@p857 @p855))
2.33/2.58	(step @p859 :rule refl :args (@t539))
2.33/2.58	(step @p860 :rule ho_cong :premises (@p487 @p859))
2.33/2.58	(step @p861 :rule cong :premises (@p365 @p860) :args ((= tptp.zero_zero_nat @t600)))
2.33/2.58	(step @p862 :rule eq-symm :args (@t600 tptp.zero_zero_nat))
2.33/2.58	(step @p863 :rule trans :premises (@p862 @p861 @p858))
2.33/2.58	(step @p864 :rule true_elim :premises (@p863))
2.33/2.58	(step @p865 :rule refl :args (@t596))
2.33/2.58	(step @p866 :rule cong :premises (@p865 @p864) :args (@t601))
2.33/2.58	(step @p867 :rule trans :premises (@p866 @p854))
2.33/2.58	(step @p868 :rule cong :premises (@p867) :args (@t602))
2.33/2.58	(step @p869 :rule nary_cong :premises (@p609 @p868) :args (@t603))
2.33/2.58	; trust TRUST THEORY_LEMMA
2.33/2.58	(step @p870 :rule trust :premises () :args (@t603))
2.33/2.58	(step @p871 :rule eq_resolve :premises (@p870 @p869))
2.33/2.58	(step @p872 :rule chain_resolution :premises (@p871 @p853 @p851 @p850 @p845 @p844) :args ((@list false true false false true) (@list @t597 @t497 @t598 @t488 @t546)))
2.33/2.58	(step @p873 :rule factoring :premises (@p872))
2.33/2.58	(step @p874 :rule reordering :premises (@p873) :args ((or @t593 @t495)))
2.33/2.58	(step @p875 :rule chain_resolution :premises (@p874 @p615) :args (@t577 (@list @t486)))
2.33/2.58	(step @p876 :rule cnf_or_pos :args (@t606))
2.33/2.58	(step @p877 :rule reordering :premises (@p876) :args ((or @t487 @t605 @t604 (not @t606))))
2.33/2.58	(step @p878 :rule chain_resolution :premises (@p877 @p875 @p437 @p428) :args ((@list true true false) (@list @t487 @t604 @t606)))
2.33/2.58	(step @p879 :rule refl :args (@t610))
2.33/2.58	(step @p880 :rule bool-double-not-elim :args (@t432))
2.33/2.58	(step @p881 :rule nary_cong :premises (@p880 @p879) :args ((or (not @t605) @t610)))
2.33/2.58	(assume-push @p1028 @t605)
2.33/2.58	(step @p883 :rule skolemize :premises (@p1028))
2.33/2.58	(step-pop @p1028 :rule scope :premises (@p883))
2.33/2.58	(step @p884 :rule process_scope :premises (@p1028) :args (@t610))
2.33/2.58	(step @p886 :rule implies_elim :premises (@p884))
2.33/2.58	(step @p887 :rule eq_resolve :premises (@p886 @p881))
2.33/2.58	(step @p888 :rule chain_resolution :premises (@p887 @p878) :args (@t611 (@list @t432)))
2.33/2.58	(step @p889 :rule cnf_or_neg :args (@t609 2))
2.33/2.58	(step @p890 :rule chain_resolution :premises (@p889 @p888) :args (@t611 (@list @t609)))
2.33/2.58	(step @p891 :rule refl :args (@t613))
2.33/2.58	(step @p892 :rule refl :args (@t615))
2.33/2.58	(step @p893 :rule refl :args (@t617))
2.33/2.58	(step @p894 :rule bool-double-not-elim :args (@t608))
2.33/2.58	(step @p895 :rule nary_cong :premises (@p894 @p893 @p892 @p891) :args ((or (not @t618) @t617 @t615 @t613)))
2.33/2.58	(assume-push @p1030 @t618)
2.33/2.58	(assume-push @p1031 @t616)
2.33/2.58	(assume-push @p1032 @t614)
2.33/2.58	(assume-push @p1033 @t618)
2.33/2.58	(assume-push @p1034 @t616)
2.33/2.58	(assume-push @p1035 @t614)
2.33/2.58	(step @p902 :rule false_intro :premises (@p1030))
2.33/2.58	(step @p903 :rule symm :premises (@p335))
2.33/2.58	(step @p904 :rule symm :premises (@p290))
2.33/2.58	(step @p905 :rule trans :premises (@p904 @p903))
2.33/2.58	(step @p906 :rule cong :premises (@p365 @p905) :args (@t612))
2.33/2.58	(step @p907 :rule trans :premises (@p906 @p902))
2.33/2.58	(step @p908 :rule false_elim :premises (@p907))
2.33/2.58	(step-pop @p1035 :rule scope :premises (@p908))
2.33/2.58	(step-pop @p1036 :rule scope :premises (@p1035))
2.33/2.58	(step-pop @p1037 :rule scope :premises (@p1036))
2.33/2.58	(step @p909 :rule process_scope :premises (@p1037) :args (@t613))
2.33/2.58	(step @p913 :rule and_intro :premises (@p1030 @p335 @p290))
2.33/2.58	(step @p914 :rule modus_ponens :premises (@p913 @p909))
2.33/2.58	(step-pop @p1038 :rule scope :premises (@p914))
2.33/2.58	(step-pop @p1039 :rule scope :premises (@p1038))
2.33/2.58	(step-pop @p1040 :rule scope :premises (@p1039))
2.33/2.58	(step @p915 :rule process_scope :premises (@p1040) :args (@t613))
2.33/2.58	(step @p919 :rule implies_elim :premises (@p915))
2.33/2.58	(step @p920 :rule cnf_and_neg :args (@t619))
2.33/2.58	(step @p921 :rule resolution :premises (@p920 @p919) :args (true @t619))
2.33/2.58	(step @p922 :rule eq_resolve :premises (@p921 @p895))
2.33/2.58	(step @p923 :rule chain_resolution :premises (@p922 @p890 @p335 @p290) :args ((@list true false false) (@list @t608 @t616 @t614)))
2.33/2.58	(step @p924 :rule and_elim :premises (@p289) :args (0))
2.33/2.58	(step @p925 :rule cnf_and_pos :args (@t488 0))
2.33/2.58	(step @p926 :rule reordering :premises (@p925) :args ((or @t487 @t489)))
2.33/2.58	(step @p927 :rule chain_resolution :premises (@p926 @p875) :args (@t611 (@list @t487)))
2.33/2.58	(step @p928 :rule chain_resolution :premises (@p606 @p927) :args (@t611 (@list @t488)))
2.33/2.58	(step @p929 :rule eq-symm :args (@t434 tptp.zero_zero_nat))
2.33/2.58	(step @p930 :rule cong :premises (@p609 @p929) :args (@t620))
2.33/2.58	; trust TRUST THEORY_LEMMA
2.33/2.58	(step @p931 :rule trust :premises () :args (@t620))
2.33/2.58	(step @p932 :rule eq_resolve :premises (@p931 @p930))
2.33/2.58	(step @p933 :rule implies_elim :premises (@p932))
2.33/2.58	(step @p934 :rule chain_resolution :premises (@p933 @p928) :args (@t577 (@list @t497)))
2.33/2.58	(step @p935 :rule eq-refl :args (@t325))
2.33/2.58	(step @p936 :rule skolem_intro :args (@t621))
2.33/2.58	(step @p937 :rule refl :args (@t325))
2.33/2.58	(step @p938 :rule cong :premises (@p937 @p936) :args ((= @t325 @t621)))
2.33/2.58	(step @p939 :rule trans :premises (@p938 @p935))
2.33/2.58	(step @p940 :rule true_elim :premises (@p939))
2.33/2.58	(step @p941 :rule refl :args (@t187))
2.33/2.58	(step @p942 :rule cong :premises (@p941 @p940) :args ((= @t187 @t325)))
2.33/2.58	(step @p943 :rule eq-symm :args (@t325 @t187))
2.33/2.58	(step @p944 :rule trans :premises (@p943 @p942))
2.33/2.58	(step @p945 :rule eq_resolve :premises (@p116 @p944))
2.33/2.58	(assume-push @p1042 @t622)
2.33/2.58	(assume-push @p1043 @t443)
2.33/2.58	(assume-push @p1044 @t623)
2.33/2.58	(assume-push @p1045 @t443)
2.33/2.58	(assume-push @p1046 @t623)
2.33/2.58	(assume-push @p1047 @t622)
2.33/2.58	(step @p952 :rule refl :args (tptp.times_times_nat))
2.33/2.58	(step @p953 :rule ho_cong :premises (@p952 @p1044))
2.33/2.58	(step @p954 :rule symm :premises (@p945))
2.33/2.58	(step @p955 :rule trans :premises (@p954 @p953 @p924))
2.33/2.58	(step-pop @p1047 :rule scope :premises (@p955))
2.33/2.58	(step-pop @p1048 :rule scope :premises (@p1047))
2.33/2.58	(step-pop @p1049 :rule scope :premises (@p1048))
2.33/2.58	(step @p956 :rule process_scope :premises (@p1049) :args (@t624))
2.33/2.58	(step @p960 :rule and_intro :premises (@p924 @p1044 @p945))
2.33/2.58	(step @p961 :rule modus_ponens :premises (@p960 @p956))
2.33/2.58	(step-pop @p1050 :rule scope :premises (@p961))
2.33/2.58	(step-pop @p1051 :rule scope :premises (@p1050))
2.33/2.58	(step-pop @p1052 :rule scope :premises (@p1051))
2.33/2.58	(step @p962 :rule process_scope :premises (@p1052) :args (@t624))
2.33/2.58	(step @p966 :rule implies_elim :premises (@p962))
2.33/2.58	(step @p967 :rule cnf_and_neg :args (@t625))
2.33/2.58	(step @p968 :rule resolution :premises (@p967 @p966) :args (true @t625))
2.33/2.58	(step @p969 :rule reordering :premises (@p968) :args ((or (not @t622) (not @t623) (not @t443) @t624)))
2.33/2.58	(step @p970 :rule chain_resolution :premises (@p969 @p945 @p934 @p924) :args ((@list false false false) (@list @t622 @t623 @t443)))
2.33/2.58	(step @p971 :rule cong :premises (@p273 @p274) :args (@t446))
2.33/2.58	(step @p972 :rule trans :premises (@p971 @p267))
2.33/2.58	(step @p973 :rule ho_cong :premises (@p281 @p280))
2.33/2.58	(step @p974 :rule cong :premises (@p282 @p973) :args ((= @t437 @t626)))
2.33/2.58	(step @p975 :rule eq-symm :args (@t626 @t437))
2.33/2.58	(step @p976 :rule trans :premises (@p975 @p974 @p972))
2.33/2.58	(step @p977 :rule true_elim :premises (@p976))
2.33/2.58	(step @p978 :rule cong :premises (@p365 @p977) :args (@t627))
2.33/2.58	(step @p979 :rule refl :args (@t624))
2.33/2.58	(step @p980 :rule cong :premises (@p979 @p978) :args ((=> @t624 @t627)))
2.33/2.58	(step @p981 :rule eq-symm :args (@t626 tptp.zero_zero_nat))
2.33/2.58	(step @p982 :rule eq-symm :args (@t436 @t621))
2.33/2.58	(step @p983 :rule cong :premises (@p982 @p981) :args (@t628))
2.33/2.58	(step @p984 :rule trans :premises (@p983 @p980))
2.33/2.58	; trust TRUST THEORY_LEMMA
2.33/2.58	(step @p985 :rule trust :premises () :args (@t628))
2.33/2.58	(step @p986 :rule eq_resolve :premises (@p985 @p984))
2.33/2.58	(step @p987 :rule implies_elim :premises (@p986))
2.33/2.58	(step @p988 :rule reordering :premises (@p987) :args ((or @t612 (not @t624))))
2.33/2.58	(step @p989 false :rule chain_resolution :premises (@p988 @p970 @p923) :args ((@list false true) (@list @t624 @t612)))
2.33/2.59	)
2.33/2.59	% SZS output end Proof
2.33/2.59	% cvc5 exiting
2.33/2.59	EOF