0.03/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.13	% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 240 THM
0.13/0.33	% Computer : n031.cluster.edu
0.13/0.33	% Model    : x86_64 x86_64
0.13/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.33	% Memory   : 8042.1875MB
0.13/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.33	% CPULimit : 1920
0.13/0.33	% WCLimit  : 240
0.13/0.33	% DateTime : Fri Sep  5 20:12:52 EDT 2025
0.13/0.34	% CPUTime  : 
0.40/0.57	%----Proving TH0
121.73/122.02	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
121.73/122.02	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 24s...
121.73/122.02	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 24s...
121.73/122.02	--- Run --ho-elim --full-saturate-quant at 14s...
121.73/122.02	% SZS status Theorem
121.73/122.02	% SZS output start Proof
121.73/122.02	(
121.73/122.02	(declare-type tptp.a ())
121.73/122.02	(declare-type tptp.set_a ())
121.73/122.02	(declare-const tptp.member_a (-> tptp.a tptp.set_a Bool))
121.73/122.02	(declare-const tptp.if_a (-> Bool tptp.a tptp.a tptp.a))
121.73/122.02	(declare-const tptp.finite40241356em_a_a (-> (-> tptp.a tptp.a tptp.a) Bool))
121.73/122.02	(declare-const tptp.sup_sup_set_a (-> tptp.set_a tptp.set_a tptp.set_a))
121.73/122.02	(declare-const tptp.c tptp.a)
121.73/122.02	(declare-const tptp.modula1144073633_aux_a (-> (-> tptp.a tptp.a tptp.a) (-> tptp.a tptp.a tptp.a) tptp.a tptp.a tptp.a tptp.a))
121.73/122.02	(declare-const tptp.collect_a (-> (-> tptp.a Bool) tptp.set_a))
121.73/122.02	(declare-const tptp.antimono_a_set_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a tptp.set_a) Bool))
121.73/122.02	(declare-const tptp.finite_finite_a (-> tptp.set_a Bool))
121.73/122.02	(declare-const tptp.semilattice_a (-> (-> tptp.a tptp.a tptp.a) Bool))
121.73/122.02	(declare-const tptp.b tptp.a)
121.73/122.02	(declare-const tptp.least_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a Bool) tptp.a))
121.73/122.02	(declare-const tptp.less_eq (-> tptp.a tptp.a Bool))
121.73/122.02	(declare-const tptp.modula1936294176_aux_a (-> (-> tptp.a tptp.a tptp.a) (-> tptp.a tptp.a tptp.a) tptp.a tptp.a tptp.a tptp.a))
121.73/122.02	(declare-const tptp.abel_semigroup_a (-> (-> tptp.a tptp.a tptp.a) Bool))
121.73/122.02	(declare-const tptp.mono_a_set_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a tptp.set_a) Bool))
121.73/122.02	(declare-const tptp.sup (-> tptp.a tptp.a tptp.a))
121.73/122.02	(declare-const tptp.modula17988509_aux_a (-> (-> tptp.a tptp.a tptp.a) (-> tptp.a tptp.a tptp.a) tptp.a tptp.a tptp.a tptp.a))
121.73/122.02	(declare-const tptp.modula1373251614_aux_a (-> (-> tptp.a tptp.a tptp.a) (-> tptp.a tptp.a tptp.a) tptp.a tptp.a tptp.a tptp.a))
121.73/122.02	(declare-const tptp.inf (-> tptp.a tptp.a tptp.a))
121.73/122.02	(declare-const tptp.lattic1885654924_set_a (-> (-> tptp.a tptp.a tptp.a) Bool))
121.73/122.02	(declare-const tptp.modula581031071_aux_a (-> (-> tptp.a tptp.a tptp.a) (-> tptp.a tptp.a tptp.a) tptp.a tptp.a tptp.a tptp.a))
121.73/122.02	(declare-const tptp.inf_inf_set_a (-> tptp.set_a tptp.set_a tptp.set_a))
121.73/122.02	(declare-const tptp.a2 tptp.a)
121.73/122.02	(declare-const tptp.condit1627435690bove_a (-> (-> tptp.a tptp.a Bool) tptp.set_a Bool))
121.73/122.02	(declare-const tptp.condit1001553558elow_a (-> (-> tptp.a tptp.a Bool) tptp.set_a Bool))
121.73/122.02	(declare-const tptp.modula1727524044comp_a (-> (-> tptp.a tptp.a Bool) tptp.a tptp.a Bool))
121.73/122.02	(declare-const tptp.greatest_a (-> (-> tptp.a tptp.a Bool) (-> tptp.a Bool) tptp.a))
121.73/122.02	(define tptp.ord_less_eq_set_a () (let ((_let_1 (@var "B5" tptp.set_a))) (let ((_let_2 (@var "X2" tptp.a))) (let ((_let_3 (_ tptp.member_a _let_2))) (let ((_let_4 (@var "A5" tptp.set_a))) (lambda (@list _let_4 _let_1) (forall (@list _let_2) (=> (_ _let_3 _let_4) (_ _let_3 _let_1)))))))))
121.73/122.02	(define tptp.semigroup_a () (let ((_let_1 (@var "C3" tptp.a))) (let ((_let_2 (@var "B2" tptp.a))) (let ((_let_3 (@var "F2" (-> tptp.a tptp.a tptp.a)))) (let ((_let_4 (@var "A2" tptp.a))) (let ((_let_5 (_ _let_3 _let_4))) (lambda (@list _let_3) (forall (@list _let_4 _let_2 _let_1) (= (_ (_ _let_3 (_ _let_5 _let_2)) _let_1) (_ _let_5 (_ (_ _let_3 _let_2) _let_1)))))))))))
121.73/122.02	(define tptp.min_a () (let ((_let_1 (@var "B2" tptp.a))) (let ((_let_2 (@var "A2" tptp.a))) (let ((_let_3 (@var "Less_eq" (-> tptp.a tptp.a Bool)))) (lambda (@list _let_3 _let_2 _let_1) (_ (_ (_ tptp.if_a (_ (_ _let_3 _let_2) _let_1)) _let_2) _let_1))))))
121.73/122.02	(define tptp.max_a () (let ((_let_1 (@var "A2" tptp.a))) (let ((_let_2 (@var "B2" tptp.a))) (let ((_let_3 (@var "Less_eq" (-> tptp.a tptp.a Bool)))) (lambda (@list _let_3 _let_1 _let_2) (_ (_ (_ tptp.if_a (_ (_ _let_3 _let_1) _let_2)) _let_2) _let_1))))))
121.73/122.02	(define @t1 () (@var "Y" tptp.set_a))
121.73/122.02	(define @t2 () (@var "X" tptp.set_a))
121.73/122.02	(define @t3 () (_ tptp.ord_less_eq_set_a @t2))
121.73/122.02	(define @t4 () (_ @t3 @t1))
121.73/122.02	(define @t5 () (= @t2 @t1))
121.73/122.02	(define @t6 () (@list @t2 @t1))
121.73/122.02	(define @t7 () (@var "C" tptp.a))
121.73/122.02	(define @t8 () (@var "B" tptp.a))
121.73/122.02	(define @t9 () (_ tptp.sup @t8))
121.73/122.02	(define @t10 () (_ @t9 @t7))
121.73/122.02	(define @t11 () (@var "A" tptp.a))
121.73/122.02	(define @t12 () (_ tptp.sup @t11))
121.73/122.02	(define @t13 () (_ @t12 @t10))
121.73/122.02	(define @t14 () (@list @t8 @t11 @t7))
121.73/122.02	(define @t15 () (@var "Z2" tptp.a))
121.73/122.02	(define @t16 () (@var "X" tptp.a))
121.73/122.02	(define @t17 () (_ tptp.sup @t16))
121.73/122.02	(define @t18 () (_ @t17 @t15))
121.73/122.02	(define @t19 () (@var "Y" tptp.a))
121.73/122.02	(define @t20 () (_ @t17 @t19))
121.73/122.02	(define @t21 () (_ (_ tptp.inf @t20) @t18))
121.73/122.02	(define @t22 () (_ tptp.inf @t19))
121.73/122.02	(define @t23 () (_ @t22 @t15))
121.73/122.02	(define @t24 () (_ @t17 @t23))
121.73/122.02	(define @t25 () (@list @t16 @t19 @t15))
121.73/122.02	(define @t26 () (@var "F" (-> tptp.a tptp.set_a)))
121.73/122.02	(define @t27 () (_ @t26 @t16))
121.73/122.02	(define @t28 () (_ @t26 @t19))
121.73/122.02	(define @t29 () (_ tptp.less_eq @t16))
121.73/122.02	(define @t30 () (_ @t29 @t19))
121.73/122.02	(define @t31 () (_ (_ tptp.antimono_a_set_a tptp.less_eq) @t26))
121.73/122.02	(define @t32 () (@list @t26 @t16 @t19))
121.73/122.02	(define @t33 () (@var "A3" tptp.set_a))
121.73/122.02	(define @t34 () (@var "X2" tptp.a))
121.73/122.02	(define @t35 () (_ tptp.member_a @t34))
121.73/122.02	(define @t36 () (_ @t35 @t33))
121.73/122.02	(define @t37 () (@list @t34))
121.73/122.02	(define @t38 () (@list @t33))
121.73/122.02	(define @t39 () (_ @t12 @t8))
121.73/122.02	(define @t40 () (_ tptp.inf @t7))
121.73/122.02	(define @t41 () (_ (_ tptp.modula1144073633_aux_a tptp.inf) tptp.sup))
121.73/122.02	(define @t42 () (_ (_ (_ @t41 @t11) @t8) @t7))
121.73/122.02	(define @t43 () (_ @t40 @t42))
121.73/122.02	(define @t44 () (@list @t7 @t11 @t8))
121.73/122.02	(define @t45 () (@var "F" (-> tptp.a tptp.a tptp.a)))
121.73/122.02	(define @t46 () (_ @t45 @t11))
121.73/122.02	(define @t47 () (_ @t46 @t8))
121.73/122.02	(define @t48 () (_ @t45 @t47))
121.73/122.02	(define @t49 () (_ tptp.semilattice_a @t45))
121.73/122.02	(define @t50 () (@list @t45 @t11 @t8))
121.73/122.02	(define @t51 () (_ tptp.abel_semigroup_a @t45))
121.73/122.02	(define @t52 () (@list @t45))
121.73/122.02	(define @t53 () (_ tptp.sup @t39))
121.73/122.02	(define @t54 () (@list @t11 @t8 @t7))
121.73/122.02	(define @t55 () (@var "Z2" tptp.set_a))
121.73/122.02	(define @t56 () (_ tptp.ord_less_eq_set_a @t1))
121.73/122.02	(define @t57 () (_ @t56 @t55))
121.73/122.02	(define @t58 () (_ @t3 @t55))
121.73/122.02	(define @t59 () (_ tptp.sup_sup_set_a @t2))
121.73/122.02	(define @t60 () (_ @t59 @t1))
121.73/122.02	(define @t61 () (@list @t2 @t1 @t55))
121.73/122.02	(define @t62 () (_ (_ tptp.modula1936294176_aux_a tptp.inf) tptp.sup))
121.73/122.02	(define @t63 () (_ (_ (_ @t62 @t11) @t8) @t7))
121.73/122.02	(define @t64 () (_ (_ tptp.sup @t43) @t63))
121.73/122.02	(define @t65 () (_ (_ tptp.modula581031071_aux_a tptp.inf) tptp.sup))
121.73/122.02	(define @t66 () (_ (_ (_ @t65 @t11) @t8) @t7))
121.73/122.02	(define @t67 () (= @t66 @t64))
121.73/122.02	(define @t68 () (forall @t54 @t67))
121.73/122.02	(define @t69 () (@var "A" tptp.set_a))
121.73/122.02	(define @t70 () (@var "C" tptp.set_a))
121.73/122.02	(define @t71 () (_ tptp.ord_less_eq_set_a @t70))
121.73/122.02	(define @t72 () (_ @t71 @t69))
121.73/122.02	(define @t73 () (@var "B" tptp.set_a))
121.73/122.02	(define @t74 () (_ tptp.ord_less_eq_set_a @t73))
121.73/122.02	(define @t75 () (_ @t74 @t69))
121.73/122.02	(define @t76 () (_ tptp.inf @t16))
121.73/122.02	(define @t77 () (_ @t76 @t19))
121.73/122.02	(define @t78 () (= @t77 @t16))
121.73/122.02	(define @t79 () (@list @t16 @t19))
121.73/122.02	(define @t80 () (@var "A5" tptp.set_a))
121.73/122.02	(define @t81 () (@var "B5" tptp.set_a))
121.73/122.02	(define @t82 () (@list @t80 @t81))
121.73/122.02	(define @t83 () (@var "Z" tptp.set_a))
121.73/122.02	(define @t84 () (@var "Y2" tptp.set_a))
121.73/122.02	(define @t85 () (lambda (@list @t84 @t83) (= @t84 @t83)))
121.73/122.02	(define @t86 () (_ tptp.sup @t19))
121.73/122.02	(define @t87 () (_ @t86 @t15))
121.73/122.02	(define @t88 () (_ @t17 @t87))
121.73/122.02	(define @t89 () (_ tptp.inf_inf_set_a @t2))
121.73/122.02	(define @t90 () (_ @t89 @t1))
121.73/122.02	(define @t91 () (_ tptp.less_eq @t11))
121.73/122.02	(define @t92 () (_ @t91 @t8))
121.73/122.02	(define @t93 () (_ @t91 @t7))
121.73/122.02	(define @t94 () (_ tptp.inf @t8))
121.73/122.02	(define @t95 () (_ @t94 @t7))
121.73/122.02	(define @t96 () (_ @t91 @t95))
121.73/122.02	(define @t97 () (@var "Q" (-> tptp.a Bool)))
121.73/122.02	(define @t98 () (_ tptp.collect_a @t97))
121.73/122.02	(define @t99 () (@var "P" (-> tptp.a Bool)))
121.73/122.02	(define @t100 () (_ tptp.collect_a @t99))
121.73/122.02	(define @t101 () (@var "X3" tptp.a))
121.73/122.02	(define @t102 () (_ @t97 @t101))
121.73/122.02	(define @t103 () (_ @t99 @t101))
121.73/122.02	(define @t104 () (@list @t101))
121.73/122.02	(define @t105 () (@list @t99 @t97))
121.73/122.02	(define @t106 () (_ tptp.less_eq @t77))
121.73/122.02	(define @t107 () (_ (_ (_ @t62 tptp.a2) tptp.b) tptp.c))
121.73/122.02	(define @t108 () (_ (_ tptp.modula17988509_aux_a tptp.inf) tptp.sup))
121.73/122.02	(define @t109 () (not (= (_ (_ tptp.inf (_ (_ (_ @t108 tptp.b) tptp.c) tptp.a2)) (_ (_ (_ @t65 tptp.a2) tptp.b) tptp.c)) @t107)))
121.73/122.02	(define @t110 () (_ tptp.less_eq @t19))
121.73/122.02	(define @t111 () (_ @t110 @t15))
121.73/122.02	(define @t112 () (_ @t29 @t15))
121.73/122.02	(define @t113 () (_ tptp.condit1627435690bove_a tptp.less_eq))
121.73/122.02	(define @t114 () (_ @t113 @t33))
121.73/122.02	(define @t115 () (_ tptp.finite_finite_a @t33))
121.73/122.02	(define @t116 () (_ @t29 @t23))
121.73/122.02	(define @t117 () (@var "D" tptp.a))
121.73/122.02	(define @t118 () (_ tptp.sup @t7))
121.73/122.02	(define @t119 () (_ @t118 @t117))
121.73/122.02	(define @t120 () (_ tptp.less_eq @t7))
121.73/122.02	(define @t121 () (_ @t120 @t11))
121.73/122.02	(define @t122 () (_ @t56 @t2))
121.73/122.02	(define @t123 () (= @t69 @t73))
121.73/122.02	(define @t124 () (_ tptp.ord_less_eq_set_a @t69))
121.73/122.02	(define @t125 () (_ @t124 @t73))
121.73/122.02	(define @t126 () (_ @t76 @t87))
121.73/122.02	(define @t127 () (_ @t76 @t15))
121.73/122.02	(define @t128 () (_ (_ tptp.sup @t77) @t127))
121.73/122.02	(define @t129 () (_ tptp.inf_inf_set_a @t69))
121.73/122.02	(define @t130 () (@list @t69))
121.73/122.02	(define @t131 () (_ tptp.inf @t11))
121.73/122.02	(define @t132 () (_ @t131 @t8))
121.73/122.02	(define @t133 () (= @t132 @t11))
121.73/122.02	(define @t134 () (@list @t11 @t8))
121.73/122.02	(define @t135 () (= @t11 @t8))
121.73/122.02	(define @t136 () (_ tptp.less_eq @t8))
121.73/122.02	(define @t137 () (_ @t136 @t11))
121.73/122.02	(define @t138 () (@list @t8 @t11))
121.73/122.02	(define @t139 () (_ @t118 @t11))
121.73/122.02	(define @t140 () (_ @t124 @t70))
121.73/122.02	(define @t141 () (_ @t74 @t70))
121.73/122.02	(define @t142 () (=> @t141 @t140))
121.73/122.02	(define @t143 () (@list @t69 @t73 @t70))
121.73/122.02	(define @t144 () (_ @t29 @t39))
121.73/122.02	(define @t145 () (_ @t29 @t11))
121.73/122.02	(define @t146 () (@list @t16 @t11 @t8))
121.73/122.02	(define @t147 () (= @t11 @t132))
121.73/122.02	(define @t148 () (_ tptp.less_eq @t132))
121.73/122.02	(define @t149 () (@list @t11))
121.73/122.02	(define @t150 () (@var "M2" tptp.a))
121.73/122.02	(define @t151 () (_ tptp.condit1001553558elow_a tptp.less_eq))
121.73/122.02	(define @t152 () (_ @t151 @t33))
121.73/122.02	(define @t153 () (_ @t29 @t8))
121.73/122.02	(define @t154 () (_ @t29 @t132))
121.73/122.02	(define @t155 () (_ @t129 @t73))
121.73/122.02	(define @t156 () (@list @t69 @t73))
121.73/122.02	(define @t157 () (@var "B2" tptp.a))
121.73/122.02	(define @t158 () (@var "A2" tptp.a))
121.73/122.02	(define @t159 () (@var "Z" tptp.a))
121.73/122.02	(define @t160 () (@var "Y2" tptp.a))
121.73/122.02	(define @t161 () (lambda (@list @t160 @t159) (= @t160 @t159)))
121.73/122.02	(define @t162 () (_ (_ tptp.least_a tptp.less_eq) @t99))
121.73/122.02	(define @t163 () (@var "X4" tptp.a))
121.73/122.02	(define @t164 () (@var "Y4" tptp.a))
121.73/122.02	(define @t165 () (= @t164 @t163))
121.73/122.02	(define @t166 () (@var "Ya" tptp.a))
121.73/122.02	(define @t167 () (_ tptp.less_eq @t164))
121.73/122.02	(define @t168 () (forall (@list @t166) (=> (_ @t99 @t166) (_ @t167 @t166))))
121.73/122.02	(define @t169 () (_ @t99 @t164))
121.73/122.02	(define @t170 () (@list @t164))
121.73/122.02	(define @t171 () (forall @t170 (=> @t169 (_ (_ tptp.less_eq @t163) @t164))))
121.73/122.02	(define @t172 () (_ @t99 @t163))
121.73/122.02	(define @t173 () (@list @t163))
121.73/122.02	(define @t174 () (@var "B4" tptp.set_a))
121.73/122.02	(define @t175 () (@var "C4" tptp.set_a))
121.73/122.02	(define @t176 () (_ tptp.ord_less_eq_set_a @t175))
121.73/122.02	(define @t177 () (_ (_ tptp.inf_inf_set_a @t33) @t174))
121.73/122.02	(define @t178 () (_ (_ tptp.less_eq @t107) (_ (_ (_ @t41 tptp.a2) tptp.b) tptp.c)))
121.73/122.02	(define @t179 () (_ tptp.member_a @t11))
121.73/122.02	(define @t180 () (_ @t110 @t16))
121.73/122.02	(define @t181 () (@list @t19 @t16))
121.73/122.02	(define @t182 () (_ @t40 @t11))
121.73/122.02	(define @t183 () (_ tptp.sup @t132))
121.73/122.02	(define @t184 () (_ @t76 @t23))
121.73/122.02	(define @t185 () (_ tptp.less_eq @t101))
121.73/122.02	(define @t186 () (@var "Xa" tptp.a))
121.73/122.02	(define @t187 () (= @t101 @t186))
121.73/122.02	(define @t188 () (_ (_ tptp.member_a @t186) @t33))
121.73/122.02	(define @t189 () (@list @t186))
121.73/122.02	(define @t190 () (_ tptp.member_a @t101))
121.73/122.02	(define @t191 () (_ @t190 @t33))
121.73/122.02	(define @t192 () (_ @t179 @t33))
121.73/122.02	(define @t193 () (@list @t33 @t11))
121.73/122.02	(define @t194 () (_ @t131 @t42))
121.73/122.02	(define @t195 () (_ @t131 @t95))
121.73/122.02	(define @t196 () (= @t16 @t19))
121.73/122.02	(define @t197 () (_ tptp.inf @t77))
121.73/122.02	(define @t198 () (_ @t45 @t8))
121.73/122.02	(define @t199 () (_ tptp.ord_less_eq_set_a @t174))
121.73/122.02	(define @t200 () (_ @t199 @t33))
121.73/122.02	(define @t201 () (_ tptp.ord_less_eq_set_a @t33))
121.73/122.02	(define @t202 () (_ @t201 @t174))
121.73/122.02	(define @t203 () (= @t33 @t174))
121.73/122.02	(define @t204 () (@list @t33 @t174))
121.73/122.02	(define @t205 () (_ (_ tptp.less_eq @t10) @t11))
121.73/122.02	(define @t206 () (@list @t8 @t7 @t11))
121.73/122.02	(define @t207 () (@var "Y3" tptp.a))
121.73/122.02	(define @t208 () (_ tptp.less_eq @t34))
121.73/122.02	(define @t209 () (_ @t208 @t207))
121.73/122.02	(define @t210 () (@list @t34 @t207))
121.73/122.02	(define @t211 () (_ @t120 @t39))
121.73/122.02	(define @t212 () (_ @t120 @t8))
121.73/122.02	(define @t213 () (@list @t16))
121.73/122.02	(define @t214 () (_ @t26 @t34))
121.73/122.02	(define @t215 () (_ @t26 @t207))
121.73/122.02	(define @t216 () (@list @t26))
121.73/122.02	(define @t217 () (_ (_ @t45 @t16) @t19))
121.73/122.02	(define @t218 () (@var "Z3" tptp.a))
121.73/122.02	(define @t219 () (_ (_ @t45 @t164) @t218))
121.73/122.02	(define @t220 () (@list @t101 @t164 @t218))
121.73/122.02	(define @t221 () (_ (_ @t45 @t101) @t164))
121.73/122.02	(define @t222 () (@list @t101 @t164))
121.73/122.02	(define @t223 () (@list @t45 @t16 @t19))
121.73/122.02	(define @t224 () (_ tptp.lattic1885654924_set_a @t45))
121.73/122.02	(define @t225 () (_ (_ (_ tptp.min_a tptp.less_eq) @t11) @t8))
121.73/122.02	(define @t226 () (not @t92))
121.73/122.02	(define @t227 () (_ (_ (_ tptp.max_a tptp.less_eq) @t11) @t8))
121.73/122.02	(define @t228 () (= @t132 @t8))
121.73/122.02	(define @t229 () (_ @t185 @t164))
121.73/122.02	(define @t230 () (_ tptp.less_eq @t221))
121.73/122.02	(define @t231 () (_ tptp.inf @t101))
121.73/122.02	(define @t232 () (@var "Y3" tptp.set_a))
121.73/122.02	(define @t233 () (@var "X2" tptp.set_a))
121.73/122.02	(define @t234 () (@var "F" (-> tptp.set_a tptp.set_a)))
121.73/122.02	(define @t235 () (@var "Y4" tptp.set_a))
121.73/122.02	(define @t236 () (@var "X3" tptp.set_a))
121.73/122.02	(define @t237 () (forall (@list @t236 @t235) (=> (_ (_ tptp.ord_less_eq_set_a @t236) @t235) (_ (_ tptp.ord_less_eq_set_a (_ @t234 @t236)) (_ @t234 @t235)))))
121.73/122.02	(define @t238 () (=> @t237 (_ (_ tptp.ord_less_eq_set_a (_ @t234 @t69)) @t70)))
121.73/122.02	(define @t239 () (_ @t234 @t73))
121.73/122.02	(define @t240 () (@list @t69 @t73 @t234 @t70))
121.73/122.02	(define @t241 () (_ tptp.sup_sup_set_a @t69))
121.73/122.02	(define @t242 () (_ @t241 @t73))
121.73/122.02	(define @t243 () (_ @t148 @t7))
121.73/122.02	(define @t244 () (_ @t136 @t16))
121.73/122.02	(define @t245 () (_ @t91 @t16))
121.73/122.02	(define @t246 () (_ tptp.less_eq @t39))
121.73/122.02	(define @t247 () (_ @t246 @t16))
121.73/122.02	(define @t248 () (_ (_ (_ @t41 @t7) @t11) @t8))
121.73/122.02	(define @t249 () (forall @t44 (= @t248 @t42)))
121.73/122.02	(define @t250 () (_ @t151 @t174))
121.73/122.02	(define @t251 () (@list @t174 @t33))
121.73/122.02	(define @t252 () (_ @t113 @t177))
121.73/122.02	(define @t253 () (_ @t94 @t42))
121.73/122.02	(define @t254 () (_ (_ (_ @t62 @t7) @t11) @t8))
121.73/122.02	(define @t255 () (forall @t44 (= @t254 @t63)))
121.73/122.02	(define @t256 () (@var "P" Bool))
121.73/122.02	(define @t257 () (_ @t201 @t175))
121.73/122.02	(define @t258 () (_ @t199 @t175))
121.73/122.02	(define @t259 () (@list @t33 @t174 @t175))
121.73/122.02	(define @t260 () (_ @t148 @t16))
121.73/122.02	(define @t261 () (_ @t26 @t101))
121.73/122.02	(define @t262 () (_ @t26 @t164))
121.73/122.02	(define @t263 () (_ @t151 @t177))
121.73/122.02	(define @t264 () (_ tptp.inf @t132))
121.73/122.02	(define @t265 () (_ @t46 (_ @t198 @t7)))
121.73/122.02	(define @t266 () (_ (_ tptp.mono_a_set_a tptp.less_eq) @t26))
121.73/122.02	(define @t267 () (_ tptp.sup @t101))
121.73/122.02	(define @t268 () (@var "M3" tptp.a))
121.73/122.02	(define @t269 () (@var "M" tptp.a))
121.73/122.02	(define @t270 () (_ tptp.member_a @t16))
121.73/122.02	(define @t271 () (_ @t136 @t7))
121.73/122.02	(define @t272 () (=> @t271 @t93))
121.73/122.02	(define @t273 () (_ @t136 @t117))
121.73/122.02	(define @t274 () (@list @t11 @t7 @t8 @t117))
121.73/122.02	(define @t275 () (@var "T" tptp.a))
121.73/122.02	(define @t276 () (_ tptp.member_a @t275))
121.73/122.02	(define @t277 () (= @t39 @t8))
121.73/122.02	(define @t278 () (@list @t2))
121.73/122.02	(define @t279 () (@list @t11 @t16 @t8))
121.73/122.02	(define @t280 () (@var "M4" tptp.a))
121.73/122.02	(define @t281 () (@var "A2" tptp.set_a))
121.73/122.02	(define @t282 () (@var "B2" tptp.set_a))
121.73/122.02	(define @t283 () (_ (_ tptp.ord_less_eq_set_a @t100) @t98))
121.73/122.02	(define @t284 () (_ tptp.semigroup_a @t45))
121.73/122.02	(define @t285 () (_ (_ (_ (_ (_ tptp.modula1373251614_aux_a tptp.inf) tptp.sup) @t11) @t8) @t7))
121.73/122.02	(define @t286 () (_ (_ (_ @t108 @t11) @t8) @t7))
121.73/122.02	(define @t287 () (_ (_ tptp.inf @t286) @t285))
121.73/122.02	(define @t288 () (_ (_ tptp.less_eq @t63) @t42))
121.73/122.02	(define @t289 () (=> @t288 (= @t287 @t63)))
121.73/122.02	(define @t290 () (forall @t54 @t289))
121.73/122.02	(define @t291 () (= @t39 @t11))
121.73/122.02	(define @t292 () (= @t20 @t19))
121.73/122.02	(define @t293 () (_ (_ tptp.greatest_a tptp.less_eq) @t99))
121.73/122.02	(define @t294 () (@var "Y5" tptp.a))
121.73/122.02	(define @t295 () (_ @t99 @t294))
121.73/122.02	(define @t296 () (@list @t294))
121.73/122.02	(define @t297 () (forall @t170 (=> @t169 (_ @t167 @t16))))
121.73/122.02	(define @t298 () (_ @t99 @t16))
121.73/122.02	(define @t299 () (@list @t99 @t16 @t97))
121.73/122.02	(define @t300 () (@var "B4" tptp.a))
121.73/122.02	(define @t301 () (@var "A3" tptp.a))
121.73/122.02	(define @t302 () (_ @t26 @t300))
121.73/122.02	(define @t303 () (_ @t26 @t301))
121.73/122.02	(define @t304 () (@list @t26 @t301 @t300))
121.73/122.02	(define @t305 () (=> @t141 (=> @t237 (_ @t124 (_ @t234 @t70)))))
121.73/122.02	(define @t306 () (@list @t69 @t234 @t73 @t70))
121.73/122.02	(define @t307 () (= @t11 @t39))
121.73/122.02	(define @t308 () (_ tptp.member_a @t7))
121.73/122.02	(define @t309 () (_ @t113 @t174))
121.73/122.02	(define @t310 () (@list @t99 @t16))
121.73/122.02	(define @t311 () (_ (_ tptp.sup @t253) @t63))
121.73/122.02	(define @t312 () (= @t285 @t311))
121.73/122.02	(define @t313 () (forall @t54 @t312))
121.73/122.02	(define @t314 () (@var "C2" tptp.a))
121.73/122.02	(define @t315 () (@var "B3" tptp.a))
121.73/122.02	(define @t316 () (@var "A4" tptp.a))
121.73/122.02	(define @t317 () (_ @t45 @t316))
121.73/122.02	(define @t318 () (forall @t170 (=> @t169 (_ @t29 @t164))))
121.73/122.02	(define @t319 () (lambda @t82 (forall @t37 (=> (_ @t35 @t80) (_ @t35 @t81)))))
121.73/122.02	(define @t320 () (@var "C3" tptp.a))
121.73/122.02	(define @t321 () (@var "F2" (-> tptp.a tptp.a tptp.a)))
121.73/122.02	(define @t322 () (_ @t321 @t158))
121.73/122.02	(define @t323 () (lambda (@list @t321) (forall (@list @t158 @t157 @t320) (= (_ (_ @t321 (_ @t322 @t157)) @t320) (_ @t322 (_ (_ @t321 @t157) @t320))))))
121.73/122.02	(define @t324 () (@var "Less_eq" (-> tptp.a tptp.a Bool)))
121.73/122.02	(define @t325 () (_ tptp.if_a (_ (_ @t324 @t158) @t157)))
121.73/122.02	(define @t326 () (@list @t324 @t158 @t157))
121.73/122.02	(define @t327 () (lambda @t326 (_ (_ @t325 @t158) @t157)))
121.73/122.02	(define @t328 () (lambda @t326 (_ (_ @t325 @t157) @t158)))
121.73/122.02	(define @t329 () (@const 0 (@ho-elim-sort (-> tptp.a tptp.a tptp.a))))
121.73/122.02	(define @t330 () (@const 1 (@ho-elim-sort (-> tptp.a tptp.a tptp.a))))
121.73/122.02	(define @t331 () (@const 3 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) tptp.a tptp.a tptp.a tptp.a)) (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) tptp.a tptp.a tptp.a tptp.a)))))
121.73/122.02	(define @t332 () (@const 4 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) tptp.a tptp.a tptp.a tptp.a)) (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) (@ho-elim-sort (-> tptp.a tptp.a tptp.a tptp.a)))))
121.73/122.02	(define @t333 () (_ @t332 (_ @t331 (@const 2 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) tptp.a tptp.a tptp.a tptp.a))) @t330) @t329))
121.73/122.02	(define @t334 () (@const 5 (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a tptp.a)) tptp.a (@ho-elim-sort (-> tptp.a tptp.a tptp.a)))))
121.73/122.02	(define @t335 () (@const 6 (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) tptp.a (@ho-elim-sort (-> tptp.a tptp.a)))))
121.73/122.02	(define @t336 () (@const 7 (-> (@ho-elim-sort (-> tptp.a tptp.a)) tptp.a tptp.a)))
121.73/122.02	(define @t337 () (_ @t336 (_ @t335 (_ @t334 @t333 tptp.a2) tptp.b) tptp.c))
121.73/122.02	(define @t338 () (_ @t332 (_ @t331 (@const 8 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) tptp.a tptp.a tptp.a tptp.a))) @t330) @t329))
121.73/122.02	(define @t339 () (_ @t335 @t330 (_ @t336 (_ @t335 (_ @t334 @t338 tptp.b) tptp.c) tptp.a2)))
121.73/122.02	(define @t340 () (_ @t336 @t339 @t337))
121.73/122.02	(define @t341 () (_ @t332 (_ @t331 (@const 9 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) tptp.a tptp.a tptp.a tptp.a))) @t330) @t329))
121.73/122.02	(define @t342 () (_ @t336 (_ @t335 (_ @t334 @t341 tptp.a2) tptp.b) tptp.c))
121.73/122.02	(define @t343 () (not (= @t340 @t342)))
121.73/122.02	(define @t344 () (_ @t336 (_ @t335 (_ @t334 @t333 @t11) @t8) @t7))
121.73/122.02	(define @t345 () (_ @t336 (_ @t335 (_ @t334 @t341 @t11) @t8) @t7))
121.73/122.02	(define @t346 () (_ @t332 (_ @t331 (@const 10 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) tptp.a tptp.a tptp.a tptp.a))) @t330) @t329))
121.73/122.02	(define @t347 () (_ @t336 (_ @t335 (_ @t334 @t346 @t11) @t8) @t7))
121.73/122.02	(define @t348 () (_ @t336 (_ @t335 @t329 (_ @t336 (_ @t335 @t330 @t7) @t347)) @t345))
121.73/122.02	(define @t349 () (forall @t54 (= @t344 @t348)))
121.73/122.02	(define @t350 () (tptp.modula1936294176_aux_a tptp.inf tptp.sup @t11 @t8 @t7))
121.73/122.02	(define @t351 () (tptp.modula1144073633_aux_a tptp.inf tptp.sup @t11 @t8 @t7))
121.73/122.02	(define @t352 () (tptp.inf @t7 @t351))
121.73/122.02	(define @t353 () (tptp.sup @t352 @t350))
121.73/122.02	(define @t354 () (tptp.modula581031071_aux_a tptp.inf tptp.sup @t11 @t8 @t7))
121.73/122.02	(define @t355 () (_ @t336 (_ @t335 (_ @t334 @t346 tptp.a2) tptp.b) tptp.c))
121.73/122.02	(define @t356 () (_ @t335 @t330 tptp.c))
121.73/122.02	(define @t357 () (_ @t336 (_ @t335 @t329 (_ @t336 @t356 @t355)) @t342))
121.73/122.02	(define @t358 () (forall @t54 (= @t348 @t344)))
121.73/122.02	(define @t359 () (= @t357 @t337))
121.73/122.02	(define @t360 () (@list tptp.a2 tptp.b tptp.c))
121.73/122.02	(define @t361 () (@list false))
121.73/122.02	(define @t362 () (forall @t44 (= @t347 (_ @t336 (_ @t335 (_ @t334 @t346 @t7) @t11) @t8))))
121.73/122.02	(define @t363 () (tptp.modula1144073633_aux_a tptp.inf tptp.sup @t7 @t11 @t8))
121.73/122.02	(define @t364 () (= @t42 @t248))
121.73/122.02	(define @t365 () (_ @t336 (_ @t335 (_ @t334 @t346 tptp.b) tptp.c) tptp.a2))
121.73/122.02	(define @t366 () (= @t365 @t355))
121.73/122.02	(define @t367 () (forall @t44 (= @t345 (_ @t336 (_ @t335 (_ @t334 @t341 @t7) @t11) @t8))))
121.73/122.02	(define @t368 () (tptp.modula1936294176_aux_a tptp.inf tptp.sup @t7 @t11 @t8))
121.73/122.02	(define @t369 () (= @t63 @t254))
121.73/122.02	(define @t370 () (_ @t336 (_ @t335 (_ @t334 @t341 tptp.b) tptp.c) tptp.a2))
121.73/122.02	(define @t371 () (= @t370 @t342))
121.73/122.02	(define @t372 () (_ @t332 (_ @t331 (@const 11 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) (@ho-elim-sort (-> tptp.a tptp.a tptp.a)) tptp.a tptp.a tptp.a tptp.a))) @t330) @t329))
121.73/122.02	(define @t373 () (_ @t336 (_ @t335 (_ @t334 @t372 @t11) @t8) @t7))
121.73/122.02	(define @t374 () (@const 12 (@ho-elim-sort (-> tptp.a tptp.a Bool))))
121.73/122.02	(define @t375 () (@const 13 (-> (@ho-elim-sort (-> tptp.a tptp.a Bool)) tptp.a (@ho-elim-sort (-> tptp.a Bool)))))
121.73/122.02	(define @t376 () (@const 14 (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a Bool)))
121.73/122.02	(define @t377 () (tptp.modula1373251614_aux_a tptp.inf tptp.sup @t11 @t8 @t7))
121.73/122.02	(define @t378 () (tptp.modula17988509_aux_a tptp.inf tptp.sup @t11 @t8 @t7))
121.73/122.02	(define @t379 () (tptp.inf @t378 @t377))
121.73/122.02	(define @t380 () (tptp.less_eq @t350 @t351))
121.73/122.02	(define @t381 () (= @t63 @t287))
121.73/122.02	(define @t382 () (not @t288))
121.73/122.02	(define @t383 () (or @t382 @t381))
121.73/122.02	(define @t384 () (@list tptp.b tptp.c tptp.a2))
121.73/122.02	(define @t385 () (_ @t375 @t374 @t370))
121.73/122.02	(define @t386 () (_ @t376 @t385 @t365))
121.73/122.02	(define @t387 () (_ @t336 (_ @t335 (_ @t334 @t372 tptp.b) tptp.c) tptp.a2))
121.73/122.02	(define @t388 () (_ @t336 @t339 @t387))
121.73/122.02	(define @t389 () (= @t370 @t388))
121.73/122.02	(define @t390 () (not @t386))
121.73/122.02	(define @t391 () (or @t390 @t389))
121.73/122.02	(define @t392 () (tptp.inf @t8 @t351))
121.73/122.02	(define @t393 () (tptp.sup @t392 @t350))
121.73/122.02	(define @t394 () (= @t337 @t357))
121.73/122.02	(define @t395 () (= @t355 @t365))
121.73/122.02	(define @t396 () (= @t342 @t370))
121.73/122.02	(define @t397 () (_ @t336 @t356 @t365))
121.73/122.02	(define @t398 () (_ @t335 @t329 @t397))
121.73/122.02	(define @t399 () (_ @t336 @t398 @t370))
121.73/122.02	(define @t400 () (= @t387 @t399))
121.73/122.02	(define @t401 () (= @t342 @t340))
121.73/122.02	(define @t402 () (and @t394 @t395 @t396 @t389 @t400))
121.73/122.02	(assume @p1 (forall @t6 (=> @t5 @t4)))
121.73/122.02	(assume @p2 (forall @t14 (= (_ @t9 (_ @t12 @t7)) @t13)))
121.73/122.02	(assume @p3 (forall @t25 (_ (_ tptp.less_eq @t24) @t21)))
121.73/122.02	(assume @p4 (= tptp.least_a tptp.least_a))
121.73/122.02	(assume @p5 (= tptp.modula1373251614_aux_a tptp.modula1373251614_aux_a))
121.73/122.02	(assume @p6 (forall @t32 (=> @t31 (=> @t30 (_ (_ tptp.ord_less_eq_set_a @t28) @t27)))))
121.73/122.02	(assume @p7 (forall @t38 (= (_ tptp.collect_a (lambda @t37 @t36)) @t33)))
121.73/122.02	(assume @p8 (forall @t44 (= @t43 (_ @t40 @t39))))
121.73/122.02	(assume @p9 (forall @t50 (=> @t49 (= (_ @t48 @t8) @t47))))
121.73/122.02	(assume @p10 (forall @t52 (=> @t49 @t51)))
121.73/122.02	(assume @p11 (forall @t54 (= (_ @t53 @t7) @t13)))
121.73/122.02	(assume @p12 (forall @t61 (= (_ (_ tptp.ord_less_eq_set_a @t60) @t55) (and @t58 @t57))))
121.73/122.02	(assume @p13 @t68)
121.73/122.02	(assume @p14 (forall (@list @t73 @t69 @t70) (=> @t75 (=> (_ @t71 @t73) @t72))))
121.73/122.02	(assume @p15 (forall @t79 (= @t30 @t78)))
121.73/122.02	(assume @p16 (= @t85 (lambda @t82 (and (_ (_ tptp.ord_less_eq_set_a @t80) @t81) (_ (_ tptp.ord_less_eq_set_a @t81) @t80)))))
121.73/122.02	(assume @p17 (forall @t25 (= @t88 (_ @t86 @t18))))
121.73/122.02	(assume @p18 (forall @t6 (= (_ (_ tptp.inf_inf_set_a @t90) @t1) @t90)))
121.73/122.02	(assume @p19 (forall @t54 (= @t96 (and @t93 @t92))))
121.73/122.02	(assume @p20 (_ tptp.abel_semigroup_a tptp.inf))
121.73/122.02	(assume @p21 (forall @t105 (=> (forall @t104 (= @t103 @t102)) (= @t100 @t98))))
121.73/122.02	(assume @p22 (forall @t54 (= (_ @t12 @t63) (_ @t12 @t95))))
121.73/122.02	(assume @p23 (forall @t79 (_ @t106 @t16)))
121.73/122.02	(assume @p24 @t109)
121.73/122.02	(assume @p25 (forall @t25 (= (_ (_ tptp.less_eq @t20) @t15) (and @t112 @t111))))
121.73/122.02	(assume @p26 (forall @t79 (= @t20 (_ @t86 @t16))))
121.73/122.02	(assume @p27 (forall @t38 (=> @t115 @t114)))
121.73/122.02	(assume @p28 (forall (@list @t45 @t11) (=> @t49 (= (_ @t46 @t11) @t11))))
121.73/122.02	(assume @p29 (forall @t25 (=> @t30 (=> @t112 @t116))))
121.73/122.02	(assume @p30 (forall (@list @t7 @t11 @t117 @t8) (=> @t121 (=> (_ (_ tptp.less_eq @t117) @t8) (_ (_ tptp.less_eq @t119) @t39)))))
121.73/122.02	(assume @p31 (_ tptp.semigroup_a tptp.sup))
121.73/122.02	(assume @p32 (forall (@list @t1 @t2) (=> @t122 (= @t4 @t5))))
121.73/122.02	(assume @p33 (forall (@list @t73 @t69) (=> @t75 (=> @t125 @t123))))
121.73/122.02	(assume @p34 (forall @t25 (_ (_ tptp.less_eq @t128) @t126)))
121.73/122.02	(assume @p35 (forall @t130 (= (_ @t129 @t69) @t69)))
121.73/122.02	(assume @p36 (forall @t134 (=> @t92 @t133)))
121.73/122.02	(assume @p37 (forall @t138 (=> @t137 (=> @t92 @t135))))
121.73/122.02	(assume @p38 (forall @t14 (= (_ @t94 @t63) (_ (_ tptp.sup @t95) @t132))))
121.73/122.02	(assume @p39 (forall @t54 (= @t42 (_ (_ tptp.inf (_ (_ tptp.inf @t39) @t10)) @t139))))
121.73/122.02	(assume @p40 (forall @t54 (=> @t92 (=> (= @t8 @t7) @t93))))
121.73/122.02	(assume @p41 (forall @t143 (=> @t123 @t142)))
121.73/122.02	(assume @p42 (forall @t146 (=> @t145 @t144)))
121.73/122.02	(assume @p43 (_ tptp.semilattice_a tptp.sup))
121.73/122.02	(assume @p44 (forall @t134 (=> @t92 @t147)))
121.73/122.02	(assume @p45 (forall @t134 (_ @t148 @t8)))
121.73/122.02	(assume @p46 (forall @t134 (=> @t147 @t92)))
121.73/122.02	(assume @p47 (forall @t149 (_ @t91 @t11)))
121.73/122.02	(assume @p48 (forall @t6 (= (_ @t89 @t90) @t90)))
121.73/122.02	(assume @p49 (forall @t38 (= @t152 (exists (@list @t150) (forall @t37 (=> @t36 (_ (_ tptp.less_eq @t150) @t34)))))))
121.73/122.02	(assume @p50 (forall @t25 (= @t116 (and @t112 @t30))))
121.73/122.02	(assume @p51 (forall @t134 (= (_ @t131 @t132) @t132)))
121.73/122.02	(assume @p52 (forall @t134 (= (_ @t12 @t39) @t39)))
121.73/122.02	(assume @p53 (forall @t146 (=> @t154 (not (=> @t145 (not @t153))))))
121.73/122.02	(assume @p54 (forall @t50 (=> @t49 (= (_ @t46 @t47) @t47))))
121.73/122.02	(assume @p55 (forall @t156 (= (_ (_ tptp.inf_inf_set_a @t155) @t73) @t155)))
121.73/122.02	(assume @p56 (= @t161 (lambda (@list @t158 @t157) (and (_ (_ tptp.less_eq @t157) @t158) (_ (_ tptp.less_eq @t158) @t157)))))
121.73/122.02	(assume @p57 (forall (@list @t99 @t15) (=> (exists @t173 (and @t172 @t171 (forall @t170 (=> (and @t169 @t168) @t165)))) (=> (_ @t99 @t15) (_ (_ tptp.less_eq @t162) @t15)))))
121.73/122.02	(assume @p58 (forall (@list @t175 @t33 @t174) (= (_ @t176 @t177) (and (_ @t176 @t33) (_ @t176 @t174)))))
121.73/122.02	(assume @p59 @t178)
121.73/122.02	(assume @p60 (forall @t6 (= (_ @t59 @t90) @t2)))
121.73/122.02	(assume @p61 (_ tptp.abel_semigroup_a tptp.sup))
121.73/122.02	(assume @p62 (forall (@list @t11 @t99) (= (_ @t179 @t100) (_ @t99 @t11))))
121.73/122.02	(assume @p63 (forall @t181 (=> @t180 (= @t77 @t19))))
121.73/122.02	(assume @p64 (forall @t54 (= (_ @t131 @t63) (_ @t183 @t182))))
121.73/122.02	(assume @p65 (forall @t25 (= @t184 (_ @t22 @t127))))
121.73/122.02	(assume @p66 (forall @t193 (=> @t115 (=> @t192 (exists @t104 (and @t191 (forall @t189 (=> @t188 (=> (_ (_ tptp.less_eq @t186) @t101) @t187))) (_ @t185 @t11)))))))
121.73/122.02	(assume @p67 (forall @t54 (= @t194 (_ @t131 @t10))))
121.73/122.02	(assume @p68 (_ tptp.lattic1885654924_set_a tptp.inf))
121.73/122.02	(assume @p69 (forall @t14 (= (_ @t94 (_ @t131 @t7)) @t195)))
121.73/122.02	(assume @p70 (forall @t138 (_ @t136 @t39)))
121.73/122.02	(assume @p71 (forall @t134 (=> @t92 (=> @t137 @t135))))
121.73/122.02	(assume @p72 (forall @t79 (=> @t196 @t30)))
121.73/122.02	(assume @p73 (forall @t79 (= (_ @t197 @t19) @t77)))
121.73/122.02	(assume @p74 (forall @t50 (=> @t51 (= @t47 (_ @t198 @t11)))))
121.73/122.02	(assume @p75 (forall @t149 (= (_ @t131 @t11) @t11)))
121.73/122.02	(assume @p76 (= tptp.lattic1885654924_set_a tptp.semilattice_a))
121.73/122.02	(assume @p77 (forall @t130 (_ @t124 @t69)))
121.73/122.02	(assume @p78 (forall @t79 (= (_ @t17 @t20) @t20)))
121.73/122.02	(assume @p79 (forall @t204 (=> @t203 (not (=> @t202 (not @t200))))))
121.73/122.02	(assume @p80 (forall @t206 (= @t205 (and @t137 @t121))))
121.73/122.02	(assume @p81 (= @t161 (lambda @t210 (and (_ (_ tptp.less_eq @t207) @t34) @t209))))
121.73/122.02	(assume @p82 (forall @t79 (= (_ (_ (_ tptp.modula1727524044comp_a tptp.less_eq) @t16) @t19) (and (not @t30) (not @t180)))))
121.73/122.02	(assume @p83 (forall (@list @t7 @t8 @t11) (=> @t212 @t211)))
121.73/122.02	(assume @p84 (forall @t213 (= (_ @t17 @t16) @t16)))
121.73/122.02	(assume @p85 (forall @t216 (= @t31 (forall @t210 (=> @t209 (_ (_ tptp.ord_less_eq_set_a @t215) @t214))))))
121.73/122.02	(assume @p86 (forall @t223 (=> (forall @t222 (_ @t185 @t221)) (=> (forall @t222 (_ @t167 @t221)) (=> (forall @t220 (=> (_ @t167 @t101) (=> (_ (_ tptp.less_eq @t218) @t101) (_ (_ tptp.less_eq @t219) @t101)))) (= @t20 @t217))))))
121.73/122.02	(assume @p87 (forall @t204 (=> @t202 (=> @t200 @t203))))
121.73/122.02	(assume @p88 (forall @t25 (=> @t30 (=> @t111 @t112))))
121.73/122.02	(assume @p89 (_ tptp.lattic1885654924_set_a tptp.sup))
121.73/122.02	(assume @p90 (forall @t52 (=> @t49 @t224)))
121.73/122.02	(assume @p91 (forall @t134 (and (=> @t92 (= @t225 @t11)) (=> @t226 (= @t225 @t8)))))
121.73/122.02	(assume @p92 (= tptp.mono_a_set_a tptp.mono_a_set_a))
121.73/122.02	(assume @p93 (forall (@list @t99) (=> (exists @t173 (and (forall @t170 (=> (and @t168 @t169) @t165)) @t171 @t172)) (_ @t99 @t162))))
121.73/122.02	(assume @p94 (forall @t79 (= (_ @t76 @t20) @t16)))
121.73/122.02	(assume @p95 (forall @t79 (_ @t106 @t19)))
121.73/122.02	(assume @p96 (forall @t134 (and (=> @t226 (= @t227 @t11)) (=> @t92 (= @t227 @t8)))))
121.73/122.02	(assume @p97 (forall @t138 (=> @t137 @t228)))
121.73/122.02	(assume @p98 (forall @t25 (= (_ @t197 @t15) @t184)))
121.73/122.02	(assume @p99 (forall @t223 (=> (forall @t222 (_ @t230 @t101)) (=> (forall @t222 (_ @t230 @t164)) (=> (forall @t220 (=> @t229 (=> (_ @t185 @t218) (_ @t185 @t219)))) (= @t77 @t217))))))
121.73/122.02	(assume @p100 (forall @t134 (= @t92 @t147)))
121.73/122.02	(assume @p101 (forall @t138 (= @t137 @t228)))
121.73/122.02	(assume @p102 (forall @t25 (=> (forall @t220 (= (_ @t231 (_ (_ tptp.sup @t164) @t218)) (_ (_ tptp.sup (_ @t231 @t164)) (_ @t231 @t218)))) (= @t24 @t21))))
121.73/122.02	(assume @p103 (_ tptp.semigroup_a tptp.inf))
121.73/122.02	(assume @p104 (= @t85 (lambda (@list @t233 @t232) (and (_ (_ tptp.ord_less_eq_set_a @t232) @t233) (_ (_ tptp.ord_less_eq_set_a @t233) @t232)))))
121.73/122.02	(assume @p105 (forall @t14 (=> @t137 (=> @t121 @t205))))
121.73/122.02	(assume @p106 (forall @t134 (= @t39 (_ @t9 @t11))))
121.73/122.02	(assume @p107 (forall @t61 (=> @t4 (=> @t57 @t58))))
121.73/122.02	(assume @p108 (forall @t240 (=> @t125 (=> (_ (_ tptp.ord_less_eq_set_a @t239) @t70) @t238))))
121.73/122.02	(assume @p109 (forall @t156 (= (_ @t241 @t242) @t242)))
121.73/122.02	(assume @p110 (forall @t146 (=> @t145 (=> @t153 @t154))))
121.73/122.02	(assume @p111 (forall (@list @t11 @t7 @t8) (=> @t93 @t243)))
121.73/122.02	(assume @p112 (forall (@list @t11 @t8 @t16) (=> @t247 (not (=> @t245 (not @t244))))))
121.73/122.02	(assume @p113 @t249)
121.73/122.02	(assume @p114 (forall @t251 (=> @t250 (=> @t202 @t152))))
121.73/122.02	(assume @p115 (forall @t204 (=> @t114 @t252)))
121.73/122.02	(assume @p116 (= tptp.modula1936294176_aux_a tptp.modula1936294176_aux_a))
121.73/122.02	(assume @p117 (forall @t79 (= (_ (_ (_ tptp.if_a false) @t16) @t19) @t19)))
121.73/122.02	(assume @p118 (forall @t25 (=> @t30 (= @t24 (_ @t22 @t18)))))
121.73/122.02	(assume @p119 (forall @t14 (= @t253 (_ @t94 @t139))))
121.73/122.02	(assume @p120 (forall @t204 (=> (forall @t104 (=> @t191 (_ @t190 @t174))) @t202)))
121.73/122.02	(assume @p121 (forall (@list @t16 @t8 @t11) (=> @t153 @t144)))
121.73/122.02	(assume @p122 @t255)
121.73/122.02	(assume @p123 (forall (@list @t256) (or (= @t256 true) (= @t256 false))))
121.73/122.02	(assume @p124 (forall @t134 (= @t132 (_ @t94 @t11))))
121.73/122.02	(assume @p125 (forall @t38 (=> @t115 @t152)))
121.73/122.02	(assume @p126 (forall @t259 (= (_ (_ tptp.ord_less_eq_set_a (_ (_ tptp.sup_sup_set_a @t33) @t174)) @t175) (and @t258 @t257))))
121.73/122.02	(assume @p127 (forall @t79 (= @t77 (_ @t22 @t16))))
121.73/122.02	(assume @p128 (forall (@list @t8 @t16 @t11) (=> @t244 @t260)))
121.73/122.02	(assume @p129 (_ tptp.semilattice_a tptp.inf))
121.73/122.02	(assume @p130 (forall @t193 (=> @t115 (=> @t192 (exists @t104 (and (_ @t91 @t101) (forall @t189 (=> @t188 (=> (_ @t185 @t186) @t187))) @t191))))))
121.73/122.02	(assume @p131 (forall @t143 (=> @t125 (=> (= @t73 @t70) @t140))))
121.73/122.02	(assume @p132 (forall @t216 (=> (forall @t222 (=> @t229 (_ (_ tptp.ord_less_eq_set_a @t262) @t261))) @t31)))
121.73/122.02	(assume @p133 (forall @t251 (=> @t250 @t263)))
121.73/122.02	(assume @p134 (forall @t54 (= (_ @t264 @t7) @t195)))
121.73/122.02	(assume @p135 (forall (@list @t45 @t8 @t11 @t7) (=> @t51 (= (_ @t198 (_ @t46 @t7)) @t265))))
121.73/122.02	(assume @p136 (= tptp.modula17988509_aux_a tptp.modula17988509_aux_a))
121.73/122.02	(assume @p137 (forall @t181 (=> @t180 (= @t30 @t196))))
121.73/122.02	(assume @p138 (forall @t32 (=> @t266 (=> @t30 (_ (_ tptp.ord_less_eq_set_a @t27) @t28)))))
121.73/122.02	(assume @p139 (forall @t25 (=> (forall @t220 (= (_ @t267 (_ (_ tptp.inf @t164) @t218)) (_ (_ tptp.inf (_ @t267 @t164)) (_ @t267 @t218)))) (= @t126 @t128))))
121.73/122.02	(assume @p140 (forall @t25 (= (_ (_ tptp.sup @t20) @t15) @t88)))
121.73/122.02	(assume @p141 (forall (@list @t33 @t268) (=> (forall @t104 (=> @t191 (_ (_ tptp.less_eq @t268) @t101))) @t152)))
121.73/122.02	(assume @p142 (forall @t79 (=> @t30 @t78)))
121.73/122.02	(assume @p143 (forall @t38 (= @t114 (exists (@list @t269) (forall @t37 (=> @t36 (_ @t208 @t269)))))))
121.73/122.02	(assume @p144 (forall (@list @t33 @t174 @t16) (=> @t202 (=> (_ @t270 @t33) (_ @t270 @t174)))))
121.73/122.02	(assume @p145 (= tptp.modula1144073633_aux_a tptp.modula1144073633_aux_a))
121.73/122.02	(assume @p146 (forall @t213 (_ @t29 @t16)))
121.73/122.02	(assume @p147 (forall @t6 (= (_ @t59 @t60) @t60)))
121.73/122.02	(assume @p148 (forall @t130 (= (_ @t241 @t69) @t69)))
121.73/122.02	(assume @p149 (forall @t54 (=> @t92 @t272)))
121.73/122.02	(assume @p150 (= tptp.max_a tptp.max_a))
121.73/122.02	(assume @p151 (forall @t54 (=> @t92 (=> @t93 @t96))))
121.73/122.02	(assume @p152 (forall @t79 (_ @t29 @t20)))
121.73/122.02	(assume @p153 (forall @t274 (=> @t93 (=> @t273 (_ @t246 @t119)))))
121.73/122.02	(assume @p154 (= tptp.min_a tptp.min_a))
121.73/122.02	(assume @p155 (= tptp.ord_less_eq_set_a (lambda @t82 (forall (@list @t275) (=> (_ @t276 @t80) (_ @t276 @t81))))))
121.73/122.02	(assume @p156 (forall @t204 (=> @t203 @t200)))
121.73/122.02	(assume @p157 (forall @t134 (_ @t148 @t11)))
121.73/122.02	(assume @p158 (= tptp.greatest_a tptp.greatest_a))
121.73/122.02	(assume @p159 (_ tptp.finite40241356em_a_a tptp.inf))
121.73/122.02	(assume @p160 (forall @t181 (=> @t180 (= @t20 @t16))))
121.73/122.02	(assume @p161 (forall @t134 (= @t92 @t277)))
121.73/122.02	(assume @p162 (forall @t204 (=> @t203 @t202)))
121.73/122.02	(assume @p163 (forall @t278 (= (_ @t89 @t2) @t2)))
121.73/122.02	(assume @p164 (forall (@list @t73 @t70 @t69) (= (_ (_ tptp.ord_less_eq_set_a (_ (_ tptp.sup_sup_set_a @t73) @t70)) @t69) (and @t72 @t75))))
121.73/122.02	(assume @p165 (forall @t134 (= (_ @t53 @t8) @t39)))
121.73/122.02	(assume @p166 (forall (@list @t19 @t16 @t15) (=> @t180 (=> (_ (_ tptp.less_eq @t15) @t16) (_ (_ tptp.less_eq @t87) @t16)))))
121.73/122.02	(assume @p167 (forall @t240 (=> @t125 (=> (= @t239 @t70) @t238))))
121.73/122.02	(assume @p168 (forall @t279 (=> @t245 @t260)))
121.73/122.02	(assume @p169 (forall @t54 (=> @t96 (not (=> @t92 (not @t93))))))
121.73/122.02	(assume @p170 (forall @t204 (=> @t152 @t263)))
121.73/122.02	(assume @p171 (forall @t6 (=> @t4 (=> @t122 @t5))))
121.73/122.02	(assume @p172 (forall @t143 (=> @t125 @t142)))
121.73/122.02	(assume @p173 (= tptp.modula581031071_aux_a tptp.modula581031071_aux_a))
121.73/122.02	(assume @p174 (forall @t6 (= (_ @t89 @t60) @t2)))
121.73/122.02	(assume @p175 (forall @t14 (=> @t137 (=> @t212 @t121))))
121.73/122.02	(assume @p176 (forall @t156 (= (_ @t129 @t155) @t155)))
121.73/122.02	(assume @p177 (forall (@list @t33 @t280) (=> (forall @t104 (=> @t191 (_ @t185 @t280))) @t114)))
121.73/122.02	(assume @p178 (forall @t134 (= @t92 @t133)))
121.73/122.02	(assume @p179 (= @t85 (lambda (@list @t281 @t282) (and (_ (_ tptp.ord_less_eq_set_a @t281) @t282) (_ (_ tptp.ord_less_eq_set_a @t282) @t281)))))
121.73/122.02	(assume @p180 (forall @t156 (=> @t125 (=> @t75 @t123))))
121.73/122.02	(assume @p181 (forall @t134 (= (_ @t264 @t8) @t132)))
121.73/122.02	(assume @p182 (forall @t105 (= @t283 (forall @t37 (=> (_ @t99 @t34) (_ @t97 @t34))))))
121.73/122.02	(assume @p183 (forall @t54 (= @t66 (_ (_ (_ @t108 @t7) @t11) @t8))))
121.73/122.02	(assume @p184 (forall @t52 (=> @t51 @t284)))
121.73/122.02	(assume @p185 @t290)
121.73/122.02	(assume @p186 (forall @t279 (=> @t245 (=> @t244 @t247))))
121.73/122.02	(assume @p187 (forall @t54 (= @t63 (_ (_ tptp.sup (_ @t183 @t95)) @t182))))
121.73/122.02	(assume @p188 (forall @t79 (= (_ @t17 @t77) @t16)))
121.73/122.02	(assume @p189 (forall @t181 (_ @t110 @t20)))
121.73/122.02	(assume @p190 (forall @t54 (= @t286 (_ (_ tptp.sup @t194) @t63))))
121.73/122.02	(assume @p191 (forall @t44 (=> @t121 @t211)))
121.73/122.02	(assume @p192 (forall @t143 (= (_ @t124 (_ (_ tptp.inf_inf_set_a @t73) @t70)) (and @t125 @t140))))
121.73/122.02	(assume @p193 (forall @t206 (= (_ (_ (_ @t62 @t8) @t7) @t11) @t63)))
121.73/122.02	(assume @p194 (forall @t149 (= (_ @t12 @t11) @t11)))
121.73/122.02	(assume @p195 (forall @t278 (= (_ @t59 @t2) @t2)))
121.73/122.02	(assume @p196 (forall @t216 (= @t266 (forall @t210 (=> @t209 (_ (_ tptp.ord_less_eq_set_a @t214) @t215))))))
121.73/122.02	(assume @p197 (forall @t216 (=> (forall @t222 (=> @t229 (_ (_ tptp.ord_less_eq_set_a @t261) @t262))) @t266)))
121.73/122.02	(assume @p198 (forall @t138 (=> @t137 @t291)))
121.73/122.02	(assume @p199 (forall @t79 (=> @t30 @t292)))
121.73/122.02	(assume @p200 (forall @t134 (=> @t92 @t277)))
121.73/122.02	(assume @p201 (forall @t299 (=> @t298 (=> @t297 (=> (forall @t104 (=> @t103 (=> (forall @t296 (=> @t295 (_ (_ tptp.less_eq @t294) @t101))) @t102))) (_ @t97 @t293))))))
121.73/122.02	(assume @p202 (forall @t61 (= (_ @t3 (_ (_ tptp.inf_inf_set_a @t1) @t55)) (and @t58 @t4))))
121.73/122.02	(assume @p203 (forall @t206 (=> @t271 @t243)))
121.73/122.02	(assume @p204 (forall @t38 (_ @t201 @t33)))
121.73/122.02	(assume @p205 (forall @t105 (=> (forall @t104 (=> @t103 @t102)) @t283)))
121.73/122.02	(assume @p206 (forall @t304 (=> @t266 (_ (_ tptp.ord_less_eq_set_a (_ (_ tptp.sup_sup_set_a @t303) @t302)) (_ @t26 (_ (_ tptp.sup @t301) @t300))))))
121.73/122.02	(assume @p207 (forall @t213 (= (_ @t76 @t16) @t16)))
121.73/122.02	(assume @p208 (forall @t274 (=> @t93 (=> @t273 (_ @t148 (_ @t40 @t117))))))
121.73/122.02	(assume @p209 (forall @t306 (=> (_ @t124 @t239) @t305)))
121.73/122.02	(assume @p210 (forall @t138 (= @t137 @t307)))
121.73/122.02	(assume @p211 (forall @t306 (=> (= @t69 @t239) @t305)))
121.73/122.02	(assume @p212 (forall @t14 (= (_ @t9 @t63) (_ @t9 @t182))))
121.73/122.02	(assume @p213 (forall (@list @t33 @t174 @t7) (=> @t202 (=> (_ @t308 @t33) (_ @t308 @t174)))))
121.73/122.02	(assume @p214 (forall @t79 (= (_ @t76 @t77) @t77)))
121.73/122.02	(assume @p215 (forall @t251 (=> @t309 (=> @t202 @t114))))
121.73/122.02	(assume @p216 (forall @t79 (=> @t30 (=> @t180 @t196))))
121.73/122.02	(assume @p217 (= tptp.antimono_a_set_a tptp.antimono_a_set_a))
121.73/122.02	(assume @p218 (forall @t206 (=> @t205 (not (=> @t137 (not @t121))))))
121.73/122.02	(assume @p219 (forall @t138 (= @t137 @t291)))
121.73/122.02	(assume @p220 (forall @t79 (= @t30 @t292)))
121.73/122.02	(assume @p221 (forall @t134 (=> @t307 @t137)))
121.73/122.02	(assume @p222 (forall @t251 (=> @t309 @t252)))
121.73/122.02	(assume @p223 (forall @t310 (=> @t298 (=> @t297 (= @t293 @t16)))))
121.73/122.02	(assume @p224 (= tptp.modula1727524044comp_a tptp.modula1727524044comp_a))
121.73/122.02	(assume @p225 @t313)
121.73/122.02	(assume @p226 (forall @t156 (= (_ (_ tptp.sup_sup_set_a @t242) @t73) @t242)))
121.73/122.02	(assume @p227 (forall @t79 (= (_ (_ (_ tptp.if_a true) @t16) @t19) @t16)))
121.73/122.02	(assume @p228 (forall @t52 (=> @t224 @t49)))
121.73/122.02	(assume @p229 (forall @t54 (= @t285 (_ (_ (_ @t108 @t8) @t7) @t11))))
121.73/122.02	(assume @p230 (forall @t278 (_ @t3 @t2)))
121.73/122.02	(assume @p231 (forall @t52 (=> (forall (@list @t316 @t315 @t314) (= (_ (_ @t45 (_ @t317 @t315)) @t314) (_ @t317 (_ (_ @t45 @t315) @t314)))) @t284)))
121.73/122.02	(assume @p232 (forall @t259 (=> @t202 (=> @t258 @t257))))
121.73/122.02	(assume @p233 (forall @t134 (_ @t91 @t39)))
121.73/122.02	(assume @p234 (forall @t54 (=> @t135 @t272)))
121.73/122.02	(assume @p235 (forall @t304 (=> @t266 (_ (_ tptp.ord_less_eq_set_a (_ @t26 (_ (_ tptp.inf @t301) @t300))) (_ (_ tptp.inf_inf_set_a @t303) @t302)))))
121.73/122.02	(assume @p236 (forall @t299 (=> @t298 (=> @t318 (=> (forall @t104 (=> @t103 (=> (forall @t296 (=> @t295 (_ @t185 @t294))) @t102))) (_ @t97 @t162))))))
121.73/122.02	(assume @p237 (forall @t138 (=> @t137 @t307)))
121.73/122.02	(assume @p238 (forall (@list @t45 @t11 @t8 @t7) (=> @t284 (= (_ @t48 @t7) @t265))))
121.73/122.02	(assume @p239 (forall @t206 (= (_ (_ (_ @t41 @t8) @t7) @t11) @t42)))
121.73/122.02	(assume @p240 (forall @t310 (=> @t298 (=> @t318 (= @t162 @t16)))))
121.73/122.02	(assume @p241 (_ tptp.finite40241356em_a_a tptp.sup))
121.73/122.02	(assume @p242 (forall @t44 (= (_ @t40 @t63) (_ (_ tptp.sup @t182) @t95))))
121.73/122.02	(assume @p243 true)
121.73/122.02	(step @p244 (= tptp.ord_less_eq_set_a @t319) :rule refl :args (@t319))
121.73/122.02	(step @p245 (= tptp.semigroup_a @t323) :rule refl :args (@t323))
121.73/122.02	(step @p246 (= tptp.min_a @t327) :rule refl :args (@t327))
121.73/122.02	(step @p247 (= tptp.max_a @t328) :rule refl :args (@t328))
121.73/122.02	(step @p248 :rule eq-symm :args (@t340 @t342))
121.73/122.02	(step @p249 :rule cong :premises (@p248) :args (@t343))
121.73/122.02	; WARNING: add trust step for TRUST
121.73/122.02	; trust TRUST PREPROCESS_HO_ELIM
121.73/122.02	(step @p250 :rule trust :premises () :args ((= @t109 @t343)))
121.73/122.02	(step @p251 :rule trans :premises (@p250 @p249))
121.73/122.02	(step @p252 :rule eq_resolve :premises (@p24 @p251))
121.73/122.02	(step @p253 :rule eq-symm :args (@t344 @t348))
121.73/122.02	(step @p254 :rule cong :premises (@p253) :args (@t349))
121.73/122.02	; trust TRUST PREPROCESS_HO_ELIM
121.73/122.02	(step @p255 :rule trust :premises () :args ((= (forall @t54 (= @t354 @t353)) @t349)))
121.73/122.02	(step @p256 :rule refl :args ((tptp.sup @t43 @t63)))
121.73/122.02	(step @p257 :rule refl :args (@t350))
121.73/122.02	(step @p258 :rule refl :args ((tptp.inf @t7 @t42)))
121.73/122.02	(step @p259 :rule refl :args (@t351))
121.73/122.02	(step @p260 :rule refl :args (@t7))
121.73/122.02	(step @p261 :rule cong :premises (@p260 @p259) :args (@t352))
121.73/122.02	(step @p262 :rule trans :premises (@p261 @p258))
121.73/122.02	(step @p263 :rule cong :premises (@p262 @p257) :args (@t353))
121.73/122.02	(step @p264 :rule trans :premises (@p263 @p256))
121.73/122.02	(step @p265 :rule refl :args (tptp.sup))
121.73/122.02	(step @p266 :rule ho_cong :premises (@p265 @p262))
121.73/122.02	(step @p267 :rule ho_cong :premises (@p266 @p257))
121.73/122.02	(step @p268 :rule cong :premises (@p267 @p264) :args ((= (_ (_ tptp.sup @t352) @t350) @t353)))
121.73/122.02	(step @p269 :rule symm :premises (@p268))
121.73/122.02	(step @p270 :rule refl :args (@t64))
121.73/122.02	(step @p271 :rule eq_resolve :premises (@p270 @p269))
121.73/122.02	(step @p272 :rule refl :args (@t63))
121.73/122.02	(step @p273 :rule cong :premises (@p272 @p257) :args ((= @t63 @t350)))
121.73/122.02	(step @p274 :rule symm :premises (@p273))
121.73/122.02	(step @p275 :rule eq_resolve :premises (@p272 @p274))
121.73/122.02	(step @p276 :rule refl :args (@t40))
121.73/122.02	(step @p277 :rule ho_cong :premises (@p276 @p259))
121.73/122.02	(step @p278 :rule cong :premises (@p277 @p262) :args ((= (_ @t40 @t351) @t352)))
121.73/122.02	(step @p279 :rule symm :premises (@p278))
121.73/122.02	(step @p280 :rule refl :args (@t43))
121.73/122.02	(step @p281 :rule eq_resolve :premises (@p280 @p279))
121.73/122.02	(step @p282 :rule refl :args (@t42))
121.73/122.02	(step @p283 :rule cong :premises (@p282 @p259) :args ((= @t42 @t351)))
121.73/122.02	(step @p284 :rule symm :premises (@p283))
121.73/122.02	(step @p285 :rule eq_resolve :premises (@p282 @p284))
121.73/122.02	(step @p286 :rule ho_cong :premises (@p276 @p285))
121.73/122.02	(step @p287 :rule trans :premises (@p286 @p281))
121.73/122.02	(step @p288 :rule ho_cong :premises (@p265 @p287))
121.73/122.02	(step @p289 :rule ho_cong :premises (@p288 @p275))
121.73/122.02	(step @p290 :rule trans :premises (@p289 @p271))
121.73/122.02	(step @p291 :rule refl :args (@t354))
121.73/122.02	(step @p292 :rule refl :args (@t66))
121.73/122.02	(step @p293 :rule cong :premises (@p292 @p291) :args ((= @t66 @t354)))
121.73/122.02	(step @p294 :rule symm :premises (@p293))
121.73/122.02	(step @p295 :rule eq_resolve :premises (@p292 @p294))
121.73/122.02	(step @p296 :rule cong :premises (@p295 @p290) :args (@t67))
121.73/122.02	(step @p297 :rule cong :premises (@p296) :args (@t68))
121.73/122.02	(step @p298 :rule trans :premises (@p297 @p255 @p254))
121.73/122.02	(step @p299 :rule eq_resolve :premises (@p13 @p298))
121.73/122.02	(step @p300 :rule eq-symm :args (@t357 @t337))
121.73/122.02	(step @p301 :rule refl :args (@t358))
121.73/122.02	(step @p302 :rule cong :premises (@p301 @p300) :args ((=> @t358 @t359)))
121.73/122.02	(assume-push @p474 @t358)
121.73/122.02	(step @p304 :rule instantiate :premises (@p299) :args (@t360))
121.73/122.02	(step-pop @p474 :rule scope :premises (@p304))
121.73/122.02	(step @p305 :rule process_scope :premises (@p474) :args (@t359))
121.73/122.02	(step @p307 :rule eq_resolve :premises (@p305 @p302))
121.73/122.02	(step @p308 :rule implies_elim :premises (@p307))
121.73/122.02	(step @p309 :rule chain_resolution :premises (@p308 @p299) :args (@t361 (@list @t358)))
121.73/122.02	; trust TRUST PREPROCESS_HO_ELIM
121.73/122.02	(step @p310 :rule trust :premises () :args ((= (forall @t44 (= @t351 @t363)) @t362)))
121.73/122.02	(step @p311 :rule refl :args (@t363))
121.73/122.02	(step @p312 :rule refl :args (@t248))
121.73/122.02	(step @p313 :rule cong :premises (@p312 @p311) :args ((= @t248 @t363)))
121.73/122.02	(step @p314 :rule symm :premises (@p313))
121.73/122.02	(step @p315 :rule eq_resolve :premises (@p312 @p314))
121.73/122.02	(step @p316 :rule cong :premises (@p285 @p315) :args (@t364))
121.73/122.02	(step @p317 :rule cong :premises (@p316) :args ((forall @t44 @t364)))
121.73/122.02	(step @p318 :rule eq-symm :args (@t248 @t42))
121.73/122.02	(step @p319 :rule cong :premises (@p318) :args (@t249))
121.73/122.02	(step @p320 :rule trans :premises (@p319 @p317))
121.73/122.02	(step @p321 :rule trans :premises (@p320 @p310))
121.73/122.02	(step @p322 :rule eq_resolve :premises (@p113 @p321))
121.73/122.02	(step @p323 :rule eq-symm :args (@t365 @t355))
121.73/122.02	(step @p324 :rule refl :args (@t362))
121.73/122.02	(step @p325 :rule cong :premises (@p324 @p323) :args ((=> @t362 @t366)))
121.73/122.02	(assume-push @p476 @t362)
121.73/122.02	(step @p327 :rule instantiate :premises (@p322) :args (@t360))
121.73/122.02	(step-pop @p476 :rule scope :premises (@p327))
121.73/122.02	(step @p328 :rule process_scope :premises (@p476) :args (@t366))
121.73/122.02	(step @p330 :rule eq_resolve :premises (@p328 @p325))
121.73/122.02	(step @p331 :rule implies_elim :premises (@p330))
121.73/122.02	(step @p332 :rule chain_resolution :premises (@p331 @p322) :args (@t361 (@list @t362)))
121.73/122.02	; trust TRUST PREPROCESS_HO_ELIM
121.73/122.02	(step @p333 :rule trust :premises () :args ((= (forall @t44 (= @t350 @t368)) @t367)))
121.73/122.02	(step @p334 :rule refl :args (@t368))
121.73/122.02	(step @p335 :rule refl :args (@t254))
121.73/122.02	(step @p336 :rule cong :premises (@p335 @p334) :args ((= @t254 @t368)))
121.73/122.02	(step @p337 :rule symm :premises (@p336))
121.73/122.02	(step @p338 :rule eq_resolve :premises (@p335 @p337))
121.73/122.02	(step @p339 :rule cong :premises (@p275 @p338) :args (@t369))
121.73/122.02	(step @p340 :rule cong :premises (@p339) :args ((forall @t44 @t369)))
121.73/122.02	(step @p341 :rule eq-symm :args (@t254 @t63))
121.73/122.02	(step @p342 :rule cong :premises (@p341) :args (@t255))
121.73/122.02	(step @p343 :rule trans :premises (@p342 @p340))
121.73/122.02	(step @p344 :rule trans :premises (@p343 @p333))
121.73/122.02	(step @p345 :rule eq_resolve :premises (@p122 @p344))
121.73/122.02	(step @p346 :rule eq-symm :args (@t370 @t342))
121.73/122.02	(step @p347 :rule refl :args (@t367))
121.73/122.02	(step @p348 :rule cong :premises (@p347 @p346) :args ((=> @t367 @t371)))
121.73/122.02	(assume-push @p478 @t367)
121.73/122.02	(step @p350 :rule instantiate :premises (@p345) :args (@t360))
121.73/122.02	(step-pop @p478 :rule scope :premises (@p350))
121.73/122.02	(step @p351 :rule process_scope :premises (@p478) :args (@t371))
121.73/122.02	(step @p353 :rule eq_resolve :premises (@p351 @p348))
121.73/122.02	(step @p354 :rule implies_elim :premises (@p353))
121.73/122.02	(step @p355 :rule chain_resolution :premises (@p354 @p345) :args (@t361 (@list @t367)))
121.73/122.02	; trust TRUST PREPROCESS_HO_ELIM
121.73/122.02	(step @p356 :rule trust :premises () :args ((= (forall @t54 (or (not @t380) (= @t350 @t379))) (forall @t54 (or (not (_ @t376 (_ @t375 @t374 @t345) @t347)) (= @t345 (_ @t336 (_ @t335 @t330 (_ @t336 (_ @t335 (_ @t334 @t338 @t11) @t8) @t7)) @t373)))))))
121.73/122.02	(step @p357 :rule refl :args ((tptp.inf @t286 @t285)))
121.73/122.02	(step @p358 :rule refl :args (@t377))
121.73/122.02	(step @p359 :rule refl :args (@t378))
121.73/122.02	(step @p360 :rule cong :premises (@p359 @p358) :args (@t379))
121.73/122.02	(step @p361 :rule trans :premises (@p360 @p357))
121.73/122.02	(step @p362 :rule refl :args (tptp.inf))
121.73/122.02	(step @p363 :rule ho_cong :premises (@p362 @p359))
121.73/122.02	(step @p364 :rule ho_cong :premises (@p363 @p358))
121.73/122.02	(step @p365 :rule cong :premises (@p364 @p361) :args ((= (_ (_ tptp.inf @t378) @t377) @t379)))
121.73/122.02	(step @p366 :rule symm :premises (@p365))
121.73/122.02	(step @p367 :rule refl :args (@t287))
121.73/122.02	(step @p368 :rule eq_resolve :premises (@p367 @p366))
121.73/122.02	(step @p369 :rule refl :args (@t285))
121.73/122.02	(step @p370 :rule cong :premises (@p369 @p358) :args ((= @t285 @t377)))
121.73/122.02	(step @p371 :rule symm :premises (@p370))
121.73/122.02	(step @p372 :rule eq_resolve :premises (@p369 @p371))
121.73/122.02	(step @p373 :rule refl :args (@t286))
121.73/122.02	(step @p374 :rule cong :premises (@p373 @p359) :args ((= @t286 @t378)))
121.73/122.02	(step @p375 :rule symm :premises (@p374))
121.73/122.02	(step @p376 :rule eq_resolve :premises (@p373 @p375))
121.73/122.02	(step @p377 :rule ho_cong :premises (@p362 @p376))
121.73/122.02	(step @p378 :rule ho_cong :premises (@p377 @p372))
121.73/122.02	(step @p379 :rule trans :premises (@p378 @p368))
121.73/122.02	(step @p380 :rule cong :premises (@p275 @p379) :args (@t381))
121.73/122.02	(step @p381 :rule refl :args ((tptp.less_eq @t63 @t42)))
121.73/122.02	(step @p382 :rule cong :premises (@p257 @p259) :args (@t380))
121.73/122.02	(step @p383 :rule trans :premises (@p382 @p381))
121.73/122.02	(step @p384 :rule refl :args (tptp.less_eq))
121.73/122.02	(step @p385 :rule ho_cong :premises (@p384 @p257))
121.73/122.02	(step @p386 :rule ho_cong :premises (@p385 @p259))
121.73/122.02	(step @p387 :rule cong :premises (@p386 @p383) :args ((= (_ (_ tptp.less_eq @t350) @t351) @t380)))
121.73/122.02	(step @p388 :rule symm :premises (@p387))
121.73/122.02	(step @p389 :rule refl :args (@t288))
121.73/122.02	(step @p390 :rule eq_resolve :premises (@p389 @p388))
121.73/122.02	(step @p391 :rule ho_cong :premises (@p384 @p275))
121.73/122.02	(step @p392 :rule ho_cong :premises (@p391 @p285))
121.73/122.02	(step @p393 :rule trans :premises (@p392 @p390))
121.73/122.02	(step @p394 :rule cong :premises (@p393) :args (@t382))
121.73/122.02	(step @p395 :rule nary_cong :premises (@p394 @p380) :args (@t383))
121.73/122.02	(step @p396 :rule cong :premises (@p395) :args ((forall @t54 @t383)))
121.73/122.02	(step @p397 :rule bool-impl-elim :args (@t288 @t381))
121.73/122.02	(step @p398 :rule cong :premises (@p397) :args ((forall @t54 (=> @t288 @t381))))
121.73/122.02	(step @p399 :rule trans :premises (@p398 @p396))
121.73/122.02	(step @p400 :rule eq-symm :args (@t287 @t63))
121.73/122.02	(step @p401 :rule refl :args (@t288))
121.73/122.02	(step @p402 :rule cong :premises (@p401 @p400) :args (@t289))
121.73/122.02	(step @p403 :rule cong :premises (@p402) :args (@t290))
121.73/122.02	(step @p404 :rule trans :premises (@p403 @p399))
121.73/122.02	(step @p405 :rule trans :premises (@p404 @p356))
121.73/122.02	(step @p406 :rule eq_resolve :premises (@p185 @p405))
121.73/122.02	(step @p407 :rule instantiate :premises (@p406) :args (@t384))
121.73/122.02	; trust TRUST PREPROCESS_HO_ELIM
121.73/122.02	(step @p408 :rule trust :premises () :args ((= @t178 (_ @t376 (_ @t375 @t374 @t342) @t355))))
121.73/122.02	(step @p409 :rule eq_resolve :premises (@p59 @p408))
121.73/122.02	(step @p410 :rule true_intro :premises (@p409))
121.73/122.02	(step @p327 :rule instantiate :premises (@p322) :args (@t360))
121.73/122.02	(step @p350 :rule instantiate :premises (@p345) :args (@t360))
121.73/122.02	(step @p411 :rule refl :args (@t374))
121.73/122.02	(step @p412 :rule cong :premises (@p411 @p350) :args (@t385))
121.73/122.02	(step @p413 :rule cong :premises (@p412 @p327) :args (@t386))
121.73/122.02	(step @p414 :rule trans :premises (@p413 @p410))
121.73/122.02	(step @p415 :rule true_elim :premises (@p414))
121.73/122.02	(step @p416 :rule cnf_or_pos :args (@t391))
121.73/122.02	(step @p417 :rule reordering :premises (@p416) :args ((or @t390 @t389 (not @t391))))
121.73/122.02	(step @p418 :rule chain_resolution :premises (@p417 @p415 @p407) :args ((@list false false) (@list @t386 @t391)))
121.73/122.02	; trust TRUST PREPROCESS_HO_ELIM
121.73/122.03	(step @p419 :rule trust :premises () :args ((= (forall @t54 (= @t377 @t393)) (forall @t54 (= @t373 (_ @t336 (_ @t335 @t329 (_ @t336 (_ @t335 @t330 @t8) @t347)) @t345))))))
121.73/122.03	(step @p420 :rule refl :args ((tptp.sup @t253 @t63)))
121.73/122.03	(step @p421 :rule refl :args ((tptp.inf @t8 @t42)))
121.73/122.03	(step @p422 :rule refl :args (@t8))
121.73/122.03	(step @p423 :rule cong :premises (@p422 @p259) :args (@t392))
121.73/122.03	(step @p424 :rule trans :premises (@p423 @p421))
121.73/122.03	(step @p425 :rule cong :premises (@p424 @p257) :args (@t393))
121.73/122.03	(step @p426 :rule trans :premises (@p425 @p420))
121.73/122.03	(step @p427 :rule ho_cong :premises (@p265 @p424))
121.73/122.03	(step @p428 :rule ho_cong :premises (@p427 @p257))
121.73/122.03	(step @p429 :rule cong :premises (@p428 @p426) :args ((= (_ (_ tptp.sup @t392) @t350) @t393)))
121.73/122.03	(step @p430 :rule symm :premises (@p429))
121.73/122.03	(step @p431 :rule refl :args (@t311))
121.73/122.03	(step @p432 :rule eq_resolve :premises (@p431 @p430))
121.73/122.03	(step @p433 :rule refl :args (@t94))
121.73/122.03	(step @p434 :rule ho_cong :premises (@p433 @p259))
121.73/122.03	(step @p435 :rule cong :premises (@p434 @p424) :args ((= (_ @t94 @t351) @t392)))
121.73/122.03	(step @p436 :rule symm :premises (@p435))
121.73/122.03	(step @p437 :rule refl :args (@t253))
121.73/122.03	(step @p438 :rule eq_resolve :premises (@p437 @p436))
121.73/122.03	(step @p439 :rule ho_cong :premises (@p433 @p285))
121.73/122.03	(step @p440 :rule trans :premises (@p439 @p438))
121.73/122.03	(step @p441 :rule ho_cong :premises (@p265 @p440))
121.73/122.03	(step @p442 :rule ho_cong :premises (@p441 @p275))
121.73/122.03	(step @p443 :rule trans :premises (@p442 @p432))
121.73/122.03	(step @p444 :rule cong :premises (@p372 @p443) :args (@t312))
121.73/122.03	(step @p445 :rule cong :premises (@p444) :args (@t313))
121.73/122.03	(step @p446 :rule trans :premises (@p445 @p419))
121.73/122.03	(step @p447 :rule eq_resolve :premises (@p225 @p446))
121.73/122.03	(step @p448 :rule instantiate :premises (@p447) :args (@t384))
121.73/122.03	(assume-push @p480 @t394)
121.73/122.03	(assume-push @p481 @t395)
121.73/122.03	(assume-push @p482 @t396)
121.73/122.03	(assume-push @p483 @t389)
121.73/122.03	(assume-push @p484 @t400)
121.73/122.03	(step @p304 :rule instantiate :premises (@p299) :args (@t360))
121.73/122.03	(step @p454 :rule refl :args (@t356))
121.73/122.03	(step @p455 :rule cong :premises (@p454 @p327) :args (@t397))
121.73/122.03	(step @p456 :rule refl :args (@t329))
121.73/122.03	(step @p457 :rule cong :premises (@p456 @p455) :args (@t398))
121.73/122.03	(step @p458 :rule cong :premises (@p457 @p350) :args (@t399))
121.73/122.03	(step @p459 :rule trans :premises (@p448 @p458 @p304))
121.73/122.03	(step @p460 :rule refl :args (@t339))
121.73/122.03	(step @p461 :rule cong :premises (@p460 @p459) :args (@t388))
121.73/122.03	(step @p462 :rule trans :premises (@p355 @p418 @p461))
121.73/122.03	(step-pop @p484 :rule scope :premises (@p462))
121.73/122.03	(step-pop @p485 :rule scope :premises (@p484))
121.73/122.03	(step-pop @p486 :rule scope :premises (@p485))
121.73/122.03	(step-pop @p487 :rule scope :premises (@p486))
121.73/122.03	(step-pop @p488 :rule scope :premises (@p487))
121.73/122.03	(step @p463 :rule process_scope :premises (@p488) :args (@t401))
121.73/122.03	(step @p469 :rule implies_elim :premises (@p463))
121.73/122.03	(step @p470 :rule cnf_and_neg :args (@t402))
121.73/122.03	(step @p471 :rule resolution :premises (@p470 @p469) :args (true @t402))
121.73/122.03	(step @p472 :rule reordering :premises (@p471) :args ((or @t401 (not @t394) (not @t395) (not @t396) (not @t389) (not @t400))))
121.73/122.03	(step @p473 false :rule chain_resolution :premises (@p472 @p448 @p418 @p355 @p332 @p309 @p252) :args ((@list false false false false false true) (@list @t400 @t389 @t396 @t395 @t394 @t401)))
121.73/122.03	)
121.73/122.03	% SZS output end Proof
121.73/122.03	% cvc5 exiting
121.73/122.03	EOF