0.10/0.11	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.10/0.12	% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.12/0.33	% Computer : n029.cluster.edu
0.12/0.33	% Model    : x86_64 x86_64
0.12/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory   : 8042.1875MB
0.12/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit : 1920
0.12/0.33	% WCLimit  : 240
0.12/0.33	% DateTime : Sat Sep  6 02:23:07 EDT 2025
0.12/0.33	% CPUTime  : 
0.18/0.48	%----Proving TH0
120.60/120.86	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
120.60/120.86	--- 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...
120.60/120.86	--- 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...
120.60/120.86	--- Run --ho-elim --full-saturate-quant at 14s...
120.60/120.86	% SZS status Theorem
120.60/120.86	% SZS output start Proof
120.60/120.86	(
120.60/120.86	(declare-type $$unsorted ())
120.60/120.86	(define @t1 () (@var "Xx" $$unsorted))
120.60/120.86	(define @t2 () (@var "S" (-> $$unsorted Bool)))
120.60/120.86	(define @t3 () (_ @t2 @t1))
120.60/120.86	(define @t4 () (@var "Xx0" $$unsorted))
120.60/120.86	(define @t5 () (@var "K" (-> (-> $$unsorted Bool) $$unsorted Bool)))
120.60/120.86	(define @t6 () (_ @t5 @t2))
120.60/120.86	(define @t7 () (_ @t6 @t4))
120.60/120.86	(define @t8 () (_ @t2 @t4))
120.60/120.86	(define @t9 () (@list @t4))
120.60/120.86	(define @t10 () (forall @t9 (=> @t8 @t7)))
120.60/120.86	(define @t11 () (and @t10 @t3))
120.60/120.86	(define @t12 () (@list @t2))
120.60/120.86	(define @t13 () (exists @t12 @t11))
120.60/120.86	(define @t14 () (@var "Xx1" $$unsorted))
120.60/120.86	(define @t15 () (_ @t6 @t14))
120.60/120.86	(define @t16 () (_ @t2 @t14))
120.60/120.86	(define @t17 () (@list @t14))
120.60/120.86	(define @t18 () (forall @t17 (=> @t16 @t15)))
120.60/120.86	(define @t19 () (and @t18 @t8))
120.60/120.86	(define @t20 () (exists @t12 @t19))
120.60/120.86	(define @t21 () (lambda @t9 @t20))
120.60/120.86	(define @t22 () (= (_ (_ @t5 @t21) @t1) @t13))
120.60/120.86	(define @t23 () (@list @t1))
120.60/120.86	(define @t24 () (forall @t23 @t22))
120.60/120.86	(define @t25 () (@var "Xy" (-> $$unsorted Bool)))
120.60/120.86	(define @t26 () (_ (_ @t5 @t25) @t4))
120.60/120.86	(define @t27 () (@var "Xx" (-> $$unsorted Bool)))
120.60/120.86	(define @t28 () (_ (_ @t5 @t27) @t4))
120.60/120.86	(define @t29 () (forall @t9 (=> @t28 @t26)))
120.60/120.86	(define @t30 () (_ @t25 @t4))
120.60/120.86	(define @t31 () (_ @t27 @t4))
120.60/120.86	(define @t32 () (forall @t9 (=> @t31 @t30)))
120.60/120.86	(define @t33 () (=> @t32 @t29))
120.60/120.86	(define @t34 () (@list @t27 @t25))
120.60/120.86	(define @t35 () (forall @t34 @t33))
120.60/120.86	(define @t36 () (=> @t35 @t24))
120.60/120.86	(define @t37 () (@list @t5))
120.60/120.86	(define @t38 () (forall @t37 @t36))
120.60/120.86	(define @t39 () (not @t38))
120.60/120.86	(define @t40 () (@var "BOUND_VARIABLE_7406" $$unsorted))
120.60/120.86	(define @t41 () (@var "BOUND_VARIABLE_7476" (@ho-elim-sort (-> $$unsorted Bool))))
120.60/120.86	(define @t42 () (@const 0 (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool)))
120.60/120.86	(define @t43 () (@var "BOUND_VARIABLE_7463" (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))))
120.60/120.86	(define @t44 () (@const 1 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool)) (@ho-elim-sort (-> $$unsorted Bool)) (@ho-elim-sort (-> $$unsorted Bool)))))
120.60/120.86	(define @t45 () (not (_ @t42 @t41 @t4)))
120.60/120.86	(define @t46 () (@list @t41))
120.60/120.86	(define @t47 () (not (forall @t46 (or (not (forall @t9 (or @t45 (_ @t42 (_ @t44 @t43 @t41) @t4)))) (not (_ @t42 @t41 @t40))))))
120.60/120.86	(define @t48 () (@const 2 (@ho-elim-sort (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool)) $$unsorted Bool))))
120.60/120.86	(define @t49 () (@const 3 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool)) $$unsorted Bool)) (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool)) (@ho-elim-sort (-> $$unsorted Bool)))))
120.60/120.86	(define @t50 () (_ @t42 (_ @t44 @t43 (_ @t49 @t48 @t43)) @t40))
120.60/120.86	(define @t51 () (@var "BOUND_VARIABLE_7339" $$unsorted))
120.60/120.86	(define @t52 () (@var "BOUND_VARIABLE_7492" (@ho-elim-sort (-> $$unsorted Bool))))
120.60/120.86	(define @t53 () (@var "BOUND_VARIABLE_7496" (@ho-elim-sort (-> $$unsorted Bool))))
120.60/120.86	(define @t54 () (not (forall @t9 (or (not (_ @t42 @t53 @t4)) (_ @t42 @t52 @t4)))))
120.60/120.86	(define @t55 () (@list @t53 @t52 @t51))
120.60/120.86	(define @t56 () (not (forall @t55 (or @t54 (not (_ @t42 (_ @t44 @t43 @t53) @t51)) (_ @t42 (_ @t44 @t43 @t52) @t51)))))
120.60/120.86	(define @t57 () (@list @t43 @t40))
120.60/120.86	(define @t58 () (forall @t57 (or @t56 (= @t50 @t47))))
120.60/120.86	(define @t59 () (@quantifiers_skolemize @t58 0))
120.60/120.86	(define @t60 () (_ @t49 @t48 @t59))
120.60/120.86	(define @t61 () (_ @t44 @t59 @t60))
120.60/120.86	(define @t62 () (_ @t42 @t61 @t4))
120.60/120.86	(define @t63 () (_ @t42 @t60 @t4))
120.60/120.86	(define @t64 () (forall @t9 (or (not @t63) @t62)))
120.60/120.86	(define @t65 () (@quantifiers_skolemize @t64 0))
120.60/120.86	(define @t66 () (_ @t42 @t60 @t65))
120.60/120.86	(define @t67 () (_ @t42 @t61 @t65))
120.60/120.86	(define @t68 () (not @t66))
120.60/120.86	(define @t69 () (or @t68 @t67))
120.60/120.86	(define @t70 () (@var "BOUND_VARIABLE_7441" $$unsorted))
120.60/120.86	(define @t71 () (@var "BOUND_VARIABLE_7523" (@ho-elim-sort (-> (@ho-elim-sort (-> $$unsorted Bool)) $$unsorted Bool))))
120.60/120.86	(define @t72 () (not (_ @t42 @t41 @t14)))
120.60/120.86	(define @t73 () (not (forall @t46 (or (not (forall @t17 (or @t72 (_ @t42 (_ @t44 @t71 @t41) @t14)))) (not (_ @t42 @t41 @t70))))))
120.60/120.86	(define @t74 () (_ @t42 (_ @t49 @t48 @t71) @t70))
120.60/120.86	(define @t75 () (forall (@list @t71 @t70) (= @t73 @t74)))
120.60/120.86	(define @t76 () (@var "BOUND_VARIABLE_7440" (-> (-> $$unsorted Bool) $$unsorted Bool)))
120.60/120.86	(define @t77 () (@const 4 (-> (-> (-> $$unsorted Bool) $$unsorted Bool) $$unsorted Bool)))
120.60/120.86	(define @t78 () (_ @t2 @t14))
120.60/120.86	(define @t79 () (not @t78))
120.60/120.86	(define @t80 () (forall (@list @t76 @t70) (= (not (forall @t12 (or (not (forall @t17 (or @t79 (_ @t76 @t2 @t14)))) (not (_ @t2 @t70))))) (_ @t77 @t76 @t70))))
120.60/120.86	(define @t81 () (_ @t44 @t59 @t41))
120.60/120.86	(define @t82 () (not (forall @t17 (or @t72 (_ @t42 @t81 @t14)))))
120.60/120.86	(define @t83 () (forall @t46 (or @t82 (not (_ @t42 @t41 @t65)))))
120.60/120.86	(define @t84 () (not @t83))
120.60/120.86	(define @t85 () (= @t66 @t84))
120.60/120.86	(define @t86 () (@quantifiers_skolemize @t83 0))
120.60/120.86	(define @t87 () (_ @t42 @t86 @t65))
120.60/120.86	(define @t88 () (not @t87))
120.60/120.86	(define @t89 () (_ @t44 @t59 @t86))
120.60/120.86	(define @t90 () (forall @t17 (or (not (_ @t42 @t86 @t14)) (_ @t42 @t89 @t14))))
120.60/120.86	(define @t91 () (not @t90))
120.60/120.86	(define @t92 () (or @t91 @t88))
120.60/120.86	(define @t93 () (not @t92))
120.60/120.86	(define @t94 () (_ @t42 @t89 @t65))
120.60/120.86	(define @t95 () (or @t88 @t94))
120.60/120.86	(define @t96 () (or @t56 (= @t47 @t50)))
120.60/120.86	(define @t97 () (forall @t57 @t96))
120.60/120.86	(define @t98 () (not @t97))
120.60/120.86	(define @t99 () (_ @t5 @t2 @t4))
120.60/120.86	(define @t100 () (_ @t2 @t4))
120.60/120.86	(define @t101 () (not @t100))
120.60/120.86	(define @t102 () (forall @t9 (or @t101 @t99)))
120.60/120.86	(define @t103 () (not @t102))
120.60/120.86	(define @t104 () (not (forall @t12 (or @t103 (not (_ @t2 @t40))))))
120.60/120.86	(define @t105 () (_ @t5 @t25 @t51))
120.60/120.86	(define @t106 () (not (_ @t5 @t27 @t51)))
120.60/120.86	(define @t107 () (_ @t25 @t4))
120.60/120.86	(define @t108 () (_ @t27 @t4))
120.60/120.86	(define @t109 () (forall @t9 (or (not @t108) @t107)))
120.60/120.86	(define @t110 () (not @t109))
120.60/120.86	(define @t111 () (or @t110 @t106 @t105))
120.60/120.86	(define @t112 () (@list @t27 @t25 @t51))
120.60/120.86	(define @t113 () (forall @t112 @t111))
120.60/120.86	(define @t114 () (not @t113))
120.60/120.86	(define @t115 () (@list @t5 @t40))
120.60/120.86	(define @t116 () (not (forall @t115 (or @t114 (= @t104 (_ @t5 (_ @t77 @t5) @t40))))))
120.60/120.86	(define @t117 () (_ @t5 @t2 @t14))
120.60/120.86	(define @t118 () (or @t79 @t117))
120.60/120.86	(define @t119 () (forall @t17 @t118))
120.60/120.86	(define @t120 () (not @t119))
120.60/120.86	(define @t121 () (or @t120 @t101))
120.60/120.86	(define @t122 () (forall @t12 @t121))
120.60/120.86	(define @t123 () (not @t122))
120.60/120.86	(define @t124 () (lambda @t9 @t123))
120.60/120.86	(define @t125 () (= @t104 (_ @t5 @t124 @t40)))
120.60/120.86	(define @t126 () (or @t114 @t125))
120.60/120.86	(define @t127 () (forall @t115 @t126))
120.60/120.86	(define @t128 () (@list @t40))
120.60/120.86	(define @t129 () (forall @t128 @t126))
120.60/120.86	(define @t130 () (forall @t128 @t125))
120.60/120.86	(define @t131 () (or @t114 @t130))
120.60/120.86	(define @t132 () (_ @t5 @t124 @t1))
120.60/120.86	(define @t133 () (_ @t2 @t1))
120.60/120.86	(define @t134 () (not (forall @t12 (or @t103 (not @t133)))))
120.60/120.86	(define @t135 () (forall @t23 (= @t134 @t132)))
120.60/120.86	(define @t136 () (not @t8))
120.60/120.86	(define @t137 () (not @t16))
120.60/120.86	(define @t138 () (or @t137 @t15))
120.60/120.86	(define @t139 () (forall @t17 @t138))
120.60/120.86	(define @t140 () (lambda @t9 (not (forall @t12 (or (not @t139) @t136)))))
120.60/120.86	(define @t141 () (_ (_ @t5 @t124) @t1))
120.60/120.86	(define @t142 () (= @t141 @t134))
120.60/120.86	(define @t143 () (not @t3))
120.60/120.86	(define @t144 () (or @t103 @t143))
120.60/120.86	(define @t145 () (and @t102 @t3))
120.60/120.86	(define @t146 () (forall @t12 (not @t145)))
120.60/120.86	(define @t147 () (not @t146))
120.60/120.86	(define @t148 () (or @t136 @t7))
120.60/120.86	(define @t149 () (or @t120 @t136))
120.60/120.86	(define @t150 () (and @t119 @t8))
120.60/120.86	(define @t151 () (forall @t12 (not @t150)))
120.60/120.86	(define @t152 () (not @t151))
120.60/120.86	(define @t153 () (or @t106 @t105))
120.60/120.86	(define @t154 () (or @t110 @t153))
120.60/120.86	(define @t155 () (forall @t112 @t154))
120.60/120.86	(define @t156 () (@list @t51))
120.60/120.86	(define @t157 () (forall @t156 @t154))
120.60/120.86	(define @t158 () (forall @t156 @t153))
120.60/120.86	(define @t159 () (or @t110 @t158))
120.60/120.86	(define @t160 () (_ @t5 @t25 @t4))
120.60/120.86	(define @t161 () (_ @t5 @t27 @t4))
120.60/120.86	(define @t162 () (forall @t9 (or (not @t161) @t160)))
120.60/120.86	(define @t163 () (not @t28))
120.60/120.86	(define @t164 () (or @t163 @t26))
120.60/120.86	(define @t165 () (not @t31))
120.60/120.86	(define @t166 () (or @t165 @t30))
120.60/120.86	(define @t167 () (forall @t55 (or @t54 (not (_ @t42 (_ @t44 @t59 @t53) @t51)) (_ @t42 (_ @t44 @t59 @t52) @t51))))
120.60/120.86	(define @t168 () (@quantifiers_skolemize @t58 1))
120.60/120.86	(define @t169 () (not (_ @t42 @t41 @t168)))
120.60/120.86	(define @t170 () (forall @t46 (or (not (forall @t9 (or @t45 (_ @t42 @t81 @t4)))) @t169)))
120.60/120.86	(define @t171 () (not @t170))
120.60/120.86	(define @t172 () (_ @t42 @t61 @t168))
120.60/120.86	(define @t173 () (= @t172 @t171))
120.60/120.86	(define @t174 () (not @t167))
120.60/120.86	(define @t175 () (or @t174 @t173))
120.60/120.86	(define @t176 () (@list true))
120.60/120.86	(define @t177 () (@list @t175))
120.60/120.86	(define @t178 () (not @t94))
120.60/120.86	(define @t179 () (forall @t9 (or (not (_ @t42 @t86 @t4)) @t63)))
120.60/120.86	(define @t180 () (not @t179))
120.60/120.86	(define @t181 () (or @t180 @t178 @t67))
120.60/120.86	(define @t182 () (@quantifiers_skolemize @t179 0))
120.60/120.86	(define @t183 () (_ @t42 @t60 @t182))
120.60/120.86	(define @t184 () (_ @t42 @t86 @t182))
120.60/120.86	(define @t185 () (not @t184))
120.60/120.86	(define @t186 () (or @t185 @t183))
120.60/120.86	(define @t187 () (not @t186))
120.60/120.86	(define @t188 () (or @t91 @t185))
120.60/120.86	(define @t189 () (forall @t46 (or @t82 (not (_ @t42 @t41 @t182)))))
120.60/120.86	(define @t190 () (not @t189))
120.60/120.86	(define @t191 () (= @t183 @t190))
120.60/120.86	(define @t192 () (not @t191))
120.60/120.86	(define @t193 () (@list false))
120.60/120.86	(define @t194 () (not @t69))
120.60/120.86	(define @t195 () (not @t64))
120.60/120.86	(define @t196 () (_ @t42 @t60 @t168))
120.60/120.86	(define @t197 () (not @t196))
120.60/120.86	(define @t198 () (or @t197 @t172))
120.60/120.86	(define @t199 () (not @t172))
120.60/120.86	(define @t200 () (_ @t44 @t59 @t61))
120.60/120.86	(define @t201 () (forall @t9 (or (not @t62) (_ @t42 @t200 @t4))))
120.60/120.86	(define @t202 () (@quantifiers_skolemize @t201 0))
120.60/120.86	(define @t203 () (_ @t42 @t61 @t202))
120.60/120.86	(define @t204 () (_ @t42 @t200 @t202))
120.60/120.86	(define @t205 () (not @t203))
120.60/120.86	(define @t206 () (or @t205 @t204))
120.60/120.86	(define @t207 () (or @t195 @t205 @t204))
120.60/120.86	(define @t208 () (not @t206))
120.60/120.86	(define @t209 () (not @t201))
120.60/120.86	(define @t210 () (or @t209 @t199))
120.60/120.86	(define @t211 () (@var "BOUND_VARIABLE_9583" (@ho-elim-sort (-> $$unsorted Bool))))
120.60/120.86	(define @t212 () (@var "BOUND_VARIABLE_9584" $$unsorted))
120.60/120.86	(define @t213 () (@list @t211 @t212))
120.60/120.86	(define @t214 () (forall @t46 (or @t82 @t169)))
120.60/120.86	(define @t215 () (not @t214))
120.60/120.86	(define @t216 () (= @t196 @t215))
120.60/120.86	(define @t217 () (not @t216))
120.60/120.86	(assume @p1 @t39)
120.60/120.86	(assume @p2 true)
120.60/120.86	(step @p3 :rule bool-double-not-elim :args (@t66))
120.60/120.86	(step @p4 :rule refl :args (@t69))
120.60/120.86	(step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t69 (not @t68))))
120.60/120.86	(step @p6 :rule cnf_or_neg :args (@t69 0))
120.60/120.86	(step @p7 :rule eq_resolve :premises (@p6 @p5))
120.60/120.86	(step @p8 :rule reordering :premises (@p7) :args ((or @t66 @t69)))
120.60/120.86	(step @p9 :rule cnf_or_neg :args (@t69 1))
120.60/120.86	(step @p10 :rule eq-symm :args (@t73 @t74))
120.60/120.86	(step @p11 :rule cong :premises (@p10) :args (@t75))
120.60/120.86	; WARNING: add trust step for TRUST
120.60/120.86	; trust TRUST PREPROCESS_HO_ELIM
120.60/120.86	(step @p12 :rule trust :premises () :args ((= @t80 @t75)))
120.60/120.86	(step @p13 :rule trans :premises (@p12 @p11))
120.60/120.86	; trust TRUST PREPROCESS_HO_ELIM_LEMMA
120.60/120.86	(step @p14 :rule trust :premises () :args (@t80))
120.60/120.86	(step @p15 :rule eq_resolve :premises (@p14 @p13))
120.60/120.86	(step @p16 :rule instantiate :premises (@p15) :args ((@list @t59 @t65)))
120.60/120.86	(step @p17 :rule cnf_equiv_pos1 :args (@t85))
120.60/120.86	(step @p18 :rule reordering :premises (@p17) :args ((or @t68 @t84 (not @t85))))
120.60/120.86	(step @p19 :rule refl :args (@t93))
120.60/120.86	(step @p20 :rule bool-double-not-elim :args (@t83))
120.60/120.86	(step @p21 :rule nary_cong :premises (@p20 @p19) :args ((or (not @t84) @t93)))
120.60/120.86	(assume-push @p345 @t84)
120.60/120.86	(step @p23 :rule skolemize :premises (@p345))
120.60/120.86	(step-pop @p345 :rule scope :premises (@p23))
120.60/120.86	(step @p24 :rule process_scope :premises (@p345) :args (@t93))
120.60/120.86	(step @p26 :rule implies_elim :premises (@p24))
120.60/120.86	(step @p27 :rule eq_resolve :premises (@p26 @p21))
120.60/120.86	(step @p28 :rule bool-double-not-elim :args (@t90))
120.60/120.86	(step @p29 :rule refl :args (@t92))
120.60/120.86	(step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t92 (not @t91))))
120.60/120.86	(step @p31 :rule cnf_or_neg :args (@t92 0))
120.60/120.86	(step @p32 :rule eq_resolve :premises (@p31 @p30))
120.60/120.86	(step @p33 :rule reordering :premises (@p32) :args ((or @t90 @t92)))
120.60/120.86	(step @p34 :rule bool-double-not-elim :args (@t87))
120.60/120.86	(step @p35 :rule nary_cong :premises (@p29 @p34) :args ((or @t92 (not @t88))))
120.60/120.86	(step @p36 :rule cnf_or_neg :args (@t92 1))
120.60/120.86	(step @p37 :rule eq_resolve :premises (@p36 @p35))
120.60/120.86	(step @p38 :rule reordering :premises (@p37) :args ((or @t87 @t92)))
120.60/120.86	(assume-push @p347 @t90)
120.60/120.86	(step @p40 :rule instantiate :premises (@p347) :args ((@list @t65)))
120.60/120.86	(step-pop @p347 :rule scope :premises (@p40))
120.60/120.86	(step @p41 :rule process_scope :premises (@p347) :args (@t95))
120.60/120.86	(step @p43 :rule implies_elim :premises (@p41))
120.60/120.86	(step @p44 :rule cnf_or_pos :args (@t95))
120.60/120.86	(step @p45 :rule reordering :premises (@p44) :args ((or @t88 @t94 (not @t95))))
120.60/120.86	(step @p46 :rule eq-symm :args (@t47 @t50))
120.60/120.86	(step @p47 :rule refl :args (@t56))
120.60/120.86	(step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t96))
120.60/120.86	(step @p49 :rule cong :premises (@p48) :args (@t97))
120.60/120.86	(step @p50 :rule cong :premises (@p49) :args (@t98))
120.60/120.86	; trust TRUST PREPROCESS_HO_ELIM
120.60/120.86	(step @p51 :rule trust :premises () :args ((= @t116 @t98)))
120.60/120.86	; trust TRUST PREPROCESS_HO_ELIM
120.60/120.86	(step @p52 :rule trust :premises () :args ((= (not @t127) @t116)))
120.60/120.86	(step @p53 :rule quant-merge-prenex :args ((= (forall @t37 @t129) @t127)))
120.60/120.86	(step @p54 :rule alpha_equiv :args (@t130 (@list @t40) (@list @t1)))
120.60/120.86	(step @p55 :rule refl :args (@t114))
120.60/120.86	(step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t131))
120.60/120.86	(step @p57 :rule quant-miniscope-or :args ((= @t129 @t131)))
120.60/120.86	(step @p58 :rule trans :premises (@p57 @p56))
120.60/120.86	(step @p59 :rule symm :premises (@p58))
120.60/120.86	(step @p60 :rule cong :premises (@p59) :args ((forall @t37 (or @t114 @t135))))
120.60/120.86	(step @p61 :rule trans :premises (@p60 @p53))
120.60/120.86	(step @p62 :rule bool-impl-elim :args (@t113 @t135))
120.60/120.86	(step @p63 :rule cong :premises (@p62) :args ((forall @t37 (=> @t113 @t135))))
120.60/120.86	(step @p64 :rule trans :premises (@p63 @p61))
120.60/120.86	(step @p65 :rule eq-symm :args (@t132 @t134))
120.60/120.86	(step @p66 :rule cong :premises (@p65) :args ((forall @t23 (= @t132 @t134))))
120.60/120.86	(step @p67 :rule refl :args (@t134))
120.60/120.86	(step @p68 :rule refl :args ((_ @t5 @t140 @t1)))
120.60/120.86	(step @p69 :rule refl :args (@t1))
120.60/120.86	(step @p70 :rule refl :args (@t100))
120.60/120.86	(step @p71 :rule cong :premises (@p70) :args (@t101))
120.60/120.86	(step @p72 :rule refl :args (@t117))
120.60/120.86	(step @p73 :rule refl :args (@t78))
120.60/120.86	(step @p74 :rule cong :premises (@p73) :args (@t79))
120.60/120.86	(step @p75 :rule nary_cong :premises (@p74 @p72) :args (@t118))
120.60/120.86	(step @p76 :rule cong :premises (@p75) :args (@t119))
120.60/120.86	(step @p77 :rule cong :premises (@p76) :args (@t120))
120.60/120.86	(step @p78 :rule nary_cong :premises (@p77 @p71) :args (@t121))
120.60/120.86	(step @p79 :rule cong :premises (@p78) :args (@t122))
120.60/120.86	(step @p80 :rule cong :premises (@p79) :args (@t123))
120.60/120.86	(step @p81 :rule cong :premises (@p80) :args (@t124))
120.60/120.86	(step @p82 :rule cong :premises (@p81 @p69) :args (@t132))
120.60/120.86	(step @p83 :rule trans :premises (@p82 @p68))
120.60/120.86	(step @p84 :rule refl :args (@t5))
120.60/120.86	(step @p85 :rule ho_cong :premises (@p84 @p81))
120.60/120.86	(step @p86 :rule ho_cong :premises (@p85 @p69))
120.60/120.86	(step @p87 :rule cong :premises (@p86 @p83) :args ((= @t141 @t132)))
120.60/120.86	(step @p88 :rule symm :premises (@p87))
120.60/120.86	(step @p89 :rule refl :args ((_ (_ @t5 @t140) @t1)))
120.60/120.86	(step @p90 :rule eq_resolve :premises (@p89 @p88))
120.60/120.86	(step @p91 :rule cong :premises (@p90 @p67) :args (@t142))
120.60/120.86	(step @p92 :rule cong :premises (@p91) :args ((forall @t23 @t142)))
120.60/120.86	(step @p93 :rule trans :premises (@p92 @p66))
120.60/120.86	(step @p94 :rule refl :args (@t133))
120.60/120.86	(step @p95 :rule refl :args (@t3))
120.60/120.86	(step @p96 :rule cong :premises (@p95 @p94) :args ((= @t3 @t133)))
120.60/120.86	(step @p97 :rule symm :premises (@p96))
120.60/120.86	(step @p98 :rule eq_resolve :premises (@p95 @p97))
120.60/120.86	(step @p99 :rule cong :premises (@p98) :args (@t143))
120.60/120.86	(step @p100 :rule refl :args (@t103))
120.60/120.86	(step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t144))
120.60/120.86	(step @p102 :rule cong :premises (@p101) :args ((forall @t12 @t144)))
120.60/120.86	(step @p103 :rule bool-and-de-morgan :args (@t102 @t3 true))
120.60/120.86	(step @p104 :rule cong :premises (@p103) :args (@t146))
120.60/120.86	(step @p105 :rule trans :premises (@p104 @p102))
120.60/120.86	(step @p106 :rule cong :premises (@p105) :args (@t147))
120.60/120.86	(step @p107 :rule exists-elim :args ((= (exists @t12 @t145) @t147)))
120.60/120.86	(step @p108 :rule trans :premises (@p107 @p106))
120.60/120.86	(step @p109 :rule refl :args (@t3))
120.60/120.86	(step @p110 :rule refl :args (@t99))
120.60/120.86	(step @p111 :rule refl :args (@t7))
120.60/120.86	(step @p112 :rule cong :premises (@p111 @p110) :args ((= @t7 @t99)))
120.60/120.86	(step @p113 :rule symm :premises (@p112))
120.60/120.86	(step @p114 :rule eq_resolve :premises (@p111 @p113))
120.60/120.86	(step @p115 :rule refl :args (@t8))
120.60/120.86	(step @p116 :rule cong :premises (@p115 @p70) :args ((= @t8 @t100)))
120.60/120.86	(step @p117 :rule symm :premises (@p116))
120.60/120.86	(step @p118 :rule eq_resolve :premises (@p115 @p117))
120.60/120.86	(step @p119 :rule cong :premises (@p118) :args (@t136))
120.60/120.86	(step @p120 :rule nary_cong :premises (@p119 @p114) :args (@t148))
120.60/120.86	(step @p121 :rule cong :premises (@p120) :args ((forall @t9 @t148)))
120.60/120.86	(step @p122 :rule bool-impl-elim :args (@t8 @t7))
120.60/120.86	(step @p123 :rule cong :premises (@p122) :args (@t10))
120.60/120.86	(step @p124 :rule trans :premises (@p123 @p121))
120.60/120.86	(step @p125 :rule nary_cong :premises (@p124 @p109) :args (@t11))
120.60/120.86	(step @p126 :rule cong :premises (@p125) :args (@t13))
120.60/120.86	(step @p127 :rule trans :premises (@p126 @p108))
120.60/120.86	(step @p128 :rule refl :args (@t1))
120.60/120.86	(step @p129 :rule refl :args (@t120))
120.60/120.86	(step @p130 :rule nary_cong :premises (@p129 @p119) :args (@t149))
120.60/120.86	(step @p131 :rule cong :premises (@p130) :args ((forall @t12 @t149)))
120.60/120.86	(step @p132 :rule bool-and-de-morgan :args (@t119 @t8 true))
120.60/120.86	(step @p133 :rule cong :premises (@p132) :args (@t151))
120.60/120.86	(step @p134 :rule trans :premises (@p133 @p131))
120.60/120.86	(step @p135 :rule cong :premises (@p134) :args (@t152))
120.60/120.86	(step @p136 :rule exists-elim :args ((= (exists @t12 @t150) @t152)))
120.60/120.86	(step @p137 :rule trans :premises (@p136 @p135))
120.60/120.86	(step @p138 :rule refl :args (@t8))
120.60/120.86	(step @p139 :rule refl :args (@t15))
120.60/120.86	(step @p140 :rule cong :premises (@p139 @p72) :args ((= @t15 @t117)))
120.60/120.86	(step @p141 :rule symm :premises (@p140))
120.60/120.86	(step @p142 :rule eq_resolve :premises (@p139 @p141))
120.60/120.86	(step @p143 :rule refl :args (@t16))
120.60/120.86	(step @p144 :rule cong :premises (@p143 @p73) :args ((= @t16 @t78)))
120.60/120.86	(step @p145 :rule symm :premises (@p144))
120.60/120.86	(step @p146 :rule eq_resolve :premises (@p143 @p145))
120.60/120.86	(step @p147 :rule cong :premises (@p146) :args (@t137))
120.60/120.86	(step @p148 :rule nary_cong :premises (@p147 @p142) :args (@t138))
120.60/120.86	(step @p149 :rule cong :premises (@p148) :args (@t139))
120.60/120.86	(step @p150 :rule bool-impl-elim :args (@t16 @t15))
120.60/120.86	(step @p151 :rule cong :premises (@p150) :args (@t18))
120.60/120.86	(step @p152 :rule trans :premises (@p151 @p149))
120.60/120.86	(step @p153 :rule nary_cong :premises (@p152 @p138) :args (@t19))
120.60/120.86	(step @p154 :rule cong :premises (@p153) :args (@t20))
120.60/120.86	(step @p155 :rule trans :premises (@p154 @p137))
120.60/120.86	(step @p156 :rule cong :premises (@p155) :args (@t21))
120.60/120.86	(step @p157 :rule refl :args (@t5))
120.60/120.86	(step @p158 :rule ho_cong :premises (@p157 @p156))
120.60/120.86	(step @p159 :rule ho_cong :premises (@p158 @p128))
120.60/120.86	(step @p160 :rule cong :premises (@p159 @p127) :args (@t22))
120.60/120.86	(step @p161 :rule cong :premises (@p160) :args (@t24))
120.60/120.86	(step @p162 :rule trans :premises (@p161 @p93))
120.60/120.86	(step @p163 :rule aci_norm :args ((= @t154 @t111)))
120.60/120.86	(step @p164 :rule cong :premises (@p163) :args (@t155))
120.60/120.86	(step @p165 :rule quant-merge-prenex :args ((= (forall @t34 @t157) @t155)))
120.60/120.86	(step @p166 :rule alpha_equiv :args (@t158 (@list @t51) (@list @t4)))
120.60/120.86	(step @p167 :rule refl :args (@t110))
120.60/120.86	(step @p168 :rule nary_cong :premises (@p167 @p166) :args (@t159))
120.60/120.86	(step @p169 :rule quant-miniscope-or :args ((= @t157 @t159)))
120.60/120.86	(step @p170 :rule trans :premises (@p169 @p168))
120.60/120.86	(step @p171 :rule symm :premises (@p170))
120.60/120.86	(step @p172 :rule cong :premises (@p171) :args ((forall @t34 (or @t110 @t162))))
120.60/120.86	(step @p173 :rule trans :premises (@p172 @p165))
120.60/120.86	(step @p174 :rule trans :premises (@p173 @p164))
120.60/120.86	(step @p175 :rule bool-impl-elim :args (@t109 @t162))
120.60/120.86	(step @p176 :rule cong :premises (@p175) :args ((forall @t34 (=> @t109 @t162))))
120.60/120.86	(step @p177 :rule trans :premises (@p176 @p174))
120.60/120.86	(step @p178 :rule refl :args (@t160))
120.60/120.86	(step @p179 :rule refl :args (@t26))
120.60/120.86	(step @p180 :rule cong :premises (@p179 @p178) :args ((= @t26 @t160)))
120.60/120.86	(step @p181 :rule symm :premises (@p180))
120.60/120.86	(step @p182 :rule eq_resolve :premises (@p179 @p181))
120.60/120.86	(step @p183 :rule refl :args (@t161))
120.60/120.86	(step @p184 :rule refl :args (@t28))
120.60/120.86	(step @p185 :rule cong :premises (@p184 @p183) :args ((= @t28 @t161)))
120.60/120.86	(step @p186 :rule symm :premises (@p185))
120.60/120.86	(step @p187 :rule eq_resolve :premises (@p184 @p186))
120.60/120.86	(step @p188 :rule cong :premises (@p187) :args (@t163))
120.60/120.86	(step @p189 :rule nary_cong :premises (@p188 @p182) :args (@t164))
120.60/120.86	(step @p190 :rule cong :premises (@p189) :args ((forall @t9 @t164)))
120.60/120.86	(step @p191 :rule bool-impl-elim :args (@t28 @t26))
120.60/120.86	(step @p192 :rule cong :premises (@p191) :args (@t29))
120.60/120.86	(step @p193 :rule trans :premises (@p192 @p190))
120.60/120.86	(step @p194 :rule refl :args (@t107))
120.60/120.86	(step @p195 :rule refl :args (@t30))
120.60/120.86	(step @p196 :rule cong :premises (@p195 @p194) :args ((= @t30 @t107)))
120.60/120.86	(step @p197 :rule symm :premises (@p196))
120.60/120.86	(step @p198 :rule eq_resolve :premises (@p195 @p197))
120.60/120.86	(step @p199 :rule refl :args (@t108))
120.60/120.86	(step @p200 :rule refl :args (@t31))
120.60/120.86	(step @p201 :rule cong :premises (@p200 @p199) :args ((= @t31 @t108)))
120.60/120.86	(step @p202 :rule symm :premises (@p201))
120.60/120.86	(step @p203 :rule eq_resolve :premises (@p200 @p202))
120.60/120.86	(step @p204 :rule cong :premises (@p203) :args (@t165))
120.60/120.86	(step @p205 :rule nary_cong :premises (@p204 @p198) :args (@t166))
120.60/120.86	(step @p206 :rule cong :premises (@p205) :args ((forall @t9 @t166)))
120.60/120.86	(step @p207 :rule bool-impl-elim :args (@t31 @t30))
120.60/120.86	(step @p208 :rule cong :premises (@p207) :args (@t32))
120.60/120.86	(step @p209 :rule trans :premises (@p208 @p206))
120.60/120.86	(step @p210 :rule cong :premises (@p209 @p193) :args (@t33))
120.60/120.86	(step @p211 :rule cong :premises (@p210) :args (@t35))
120.60/120.86	(step @p212 :rule trans :premises (@p211 @p177))
120.60/120.86	(step @p213 :rule cong :premises (@p212 @p162) :args (@t36))
120.60/120.86	(step @p214 :rule cong :premises (@p213) :args (@t38))
120.60/120.86	(step @p215 :rule trans :premises (@p214 @p64))
120.60/120.86	(step @p216 :rule cong :premises (@p215) :args (@t39))
120.60/120.86	(step @p217 :rule trans :premises (@p216 @p52 @p51 @p50))
120.60/120.86	(step @p218 :rule eq_resolve :premises (@p1 @p217))
120.60/120.86	(step @p219 :rule skolemize :premises (@p218))
120.60/120.86	(step @p220 :rule bool-double-not-elim :args (@t167))
120.60/120.86	(step @p221 :rule refl :args (@t175))
120.60/120.86	(step @p222 :rule nary_cong :premises (@p221 @p220) :args ((or @t175 (not @t174))))
120.60/120.86	(step @p223 :rule cnf_or_neg :args (@t175 0))
120.60/120.86	(step @p224 :rule eq_resolve :premises (@p223 @p222))
120.60/120.86	(step @p225 :rule reordering :premises (@p224) :args ((or @t167 @t175)))
120.60/120.86	(step @p226 :rule chain_resolution :premises (@p225 @p219) :args (@t176 @t177))
120.60/120.86	(step @p227 :rule instantiate :premises (@p226) :args ((@list @t86 @t60 @t65)))
120.60/120.86	(step @p228 :rule cnf_or_pos :args (@t181))
120.60/120.86	(step @p229 :rule reordering :premises (@p228) :args ((or @t67 @t178 @t180 (not @t181))))
120.60/120.86	(step @p230 :rule refl :args (@t187))
120.60/120.86	(step @p231 :rule bool-double-not-elim :args (@t179))
120.60/120.86	(step @p232 :rule nary_cong :premises (@p231 @p230) :args ((or (not @t180) @t187)))
120.60/120.86	(assume-push @p349 @t180)
120.60/120.86	(step @p234 :rule skolemize :premises (@p349))
120.60/120.86	(step-pop @p349 :rule scope :premises (@p234))
120.60/120.86	(step @p235 :rule process_scope :premises (@p349) :args (@t187))
120.60/120.86	(step @p237 :rule implies_elim :premises (@p235))
120.60/120.86	(step @p238 :rule eq_resolve :premises (@p237 @p232))
120.60/120.86	(step @p239 :rule bool-double-not-elim :args (@t184))
120.60/120.86	(step @p240 :rule refl :args (@t186))
120.60/120.86	(step @p241 :rule nary_cong :premises (@p240 @p239) :args ((or @t186 (not @t185))))
120.60/120.86	(step @p242 :rule cnf_or_neg :args (@t186 0))
120.60/120.86	(step @p243 :rule eq_resolve :premises (@p242 @p241))
120.60/120.86	(step @p244 :rule reordering :premises (@p243) :args ((or @t184 @t186)))
120.60/120.86	(step @p245 :rule cnf_or_neg :args (@t186 1))
120.60/120.86	(step @p246 :rule cnf_or_pos :args (@t188))
120.60/120.86	(step @p247 :rule reordering :premises (@p246) :args ((or @t91 @t185 (not @t188))))
120.60/120.86	(step @p248 :rule instantiate :premises (@p15) :args ((@list @t59 @t182)))
120.60/120.86	(step @p249 :rule bool-double-not-elim :args (@t189))
120.60/120.86	(step @p250 :rule refl :args (@t183))
120.60/120.86	(step @p251 :rule refl :args (@t192))
120.60/120.86	(step @p252 :rule nary_cong :premises (@p251 @p250 @p249) :args ((or @t192 @t183 (not @t190))))
120.60/120.86	(step @p253 :rule cnf_equiv_pos2 :args (@t191))
120.60/120.86	(step @p254 :rule eq_resolve :premises (@p253 @p252))
120.60/120.86	(step @p255 :rule reordering :premises (@p254) :args ((or @t183 @t189 @t192)))
120.60/120.86	(assume-push @p351 @t189)
120.60/120.86	(step @p257 :rule instantiate :premises (@p351) :args ((@list @t86)))
120.60/120.86	(step-pop @p351 :rule scope :premises (@p257))
120.60/120.86	(step @p258 :rule process_scope :premises (@p351) :args (@t188))
120.60/120.86	(step @p260 :rule implies_elim :premises (@p258))
120.60/120.86	(step @p261 :rule chain_resolution :premises (@p260 @p255 @p248 @p247 @p245 @p244) :args ((@list false false true true false) (@list @t189 @t191 @t188 @t183 @t184)))
120.60/120.86	(step @p262 :rule factoring :premises (@p261))
120.60/120.86	(step @p263 :rule chain_resolution :premises (@p262 @p238 @p229 @p227 @p45 @p43 @p38) :args ((@list true true false false false false) (@list @t186 @t179 @t181 @t94 @t95 @t87)))
120.60/120.86	(step @p264 :rule factoring :premises (@p263))
120.60/120.86	(step @p265 :rule chain_resolution :premises (@p264 @p33) :args (@t193 (@list @t90)))
120.60/120.86	(step @p266 :rule factoring :premises (@p265))
120.60/120.86	(step @p267 :rule chain_resolution :premises (@p266 @p27 @p18 @p16 @p9 @p8) :args ((@list true true false true false) (@list @t92 @t83 @t85 @t67 @t66)))
120.60/120.86	(step @p268 :rule factoring :premises (@p267))
120.60/120.86	(step @p269 :rule refl :args (@t194))
120.60/120.86	(step @p270 :rule bool-double-not-elim :args (@t64))
120.60/120.86	(step @p271 :rule nary_cong :premises (@p270 @p269) :args ((or (not @t195) @t194)))
120.60/120.86	(assume-push @p353 @t195)
120.60/120.86	(step @p273 :rule skolemize :premises (@p353))
120.60/120.86	(step-pop @p353 :rule scope :premises (@p273))
120.60/120.86	(step @p274 :rule process_scope :premises (@p353) :args (@t194))
120.60/120.86	(step @p276 :rule implies_elim :premises (@p274))
120.60/120.86	(step @p277 :rule eq_resolve :premises (@p276 @p271))
120.60/120.86	(step @p278 :rule chain_resolution :premises (@p277 @p268) :args (@t193 (@list @t69)))
120.60/120.86	(assume-push @p355 @t64)
120.60/120.86	(step @p280 :rule instantiate :premises (@p355) :args ((@list @t168)))
120.60/120.86	(step-pop @p355 :rule scope :premises (@p280))
120.60/120.86	(step @p281 :rule process_scope :premises (@p355) :args (@t198))
120.60/120.86	(step @p283 :rule implies_elim :premises (@p281))
120.60/120.86	(step @p284 :rule chain_resolution :premises (@p283 @p278) :args (@t193 (@list @t64)))
120.60/120.86	(step @p285 :rule cnf_or_neg :args (@t175 1))
120.60/120.86	(step @p286 :rule chain_resolution :premises (@p285 @p219) :args (@t176 @t177))
120.60/120.86	(step @p287 :rule bool-double-not-elim :args (@t170))
120.60/120.86	(step @p288 :rule refl :args (@t199))
120.60/120.86	(step @p289 :rule refl :args (@t173))
120.60/120.86	(step @p290 :rule nary_cong :premises (@p289 @p288 @p287) :args ((or @t173 @t199 (not @t171))))
120.60/120.86	(step @p291 :rule cnf_equiv_neg2 :args (@t173))
120.60/120.86	(step @p292 :rule eq_resolve :premises (@p291 @p290))
120.60/120.86	(step @p293 :rule reordering :premises (@p292) :args ((or @t170 @t173 @t199)))
120.60/120.86	(step @p294 :rule bool-double-not-elim :args (@t203))
120.60/120.86	(step @p295 :rule refl :args (@t206))
120.60/120.86	(step @p296 :rule nary_cong :premises (@p295 @p294) :args ((or @t206 (not @t205))))
120.60/120.86	(step @p297 :rule cnf_or_neg :args (@t206 0))
120.60/120.86	(step @p298 :rule eq_resolve :premises (@p297 @p296))
120.60/120.86	(step @p299 :rule reordering :premises (@p298) :args ((or @t203 @t206)))
120.60/120.86	(step @p300 :rule cnf_or_neg :args (@t206 1))
120.60/120.86	(step @p301 :rule instantiate :premises (@p226) :args ((@list @t60 @t61 @t202)))
120.60/120.86	(step @p302 :rule cnf_or_pos :args (@t207))
120.60/120.86	(step @p303 :rule reordering :premises (@p302) :args ((or @t205 @t204 @t195 (not @t207))))
120.60/120.86	(step @p304 :rule chain_resolution :premises (@p303 @p301 @p278 @p300 @p299) :args ((@list false false true false) (@list @t207 @t64 @t204 @t203)))
120.60/120.86	(step @p305 :rule factoring :premises (@p304))
120.60/120.86	(step @p306 :rule refl :args (@t208))
120.60/120.86	(step @p307 :rule bool-double-not-elim :args (@t201))
120.60/120.86	(step @p308 :rule nary_cong :premises (@p307 @p306) :args ((or (not @t209) @t208)))
120.60/120.86	(assume-push @p357 @t209)
120.60/120.86	(step @p310 :rule skolemize :premises (@p357))
120.60/120.86	(step-pop @p357 :rule scope :premises (@p310))
120.60/120.86	(step @p311 :rule process_scope :premises (@p357) :args (@t208))
120.60/120.86	(step @p313 :rule implies_elim :premises (@p311))
120.60/120.86	(step @p314 :rule eq_resolve :premises (@p313 @p308))
120.60/120.86	(step @p315 :rule chain_resolution :premises (@p314 @p305) :args (@t193 (@list @t206)))
120.60/120.86	(step @p316 :rule cnf_or_pos :args (@t210))
120.60/120.86	(step @p317 :rule reordering :premises (@p316) :args ((or @t199 @t209 (not @t210))))
120.60/120.86	(assume-push @p359 @t170)
120.60/120.86	(step @p319 :rule instantiate :premises (@p359) :args ((@list @t61)))
120.60/120.86	(step-pop @p359 :rule scope :premises (@p319))
120.60/120.86	(step @p320 :rule process_scope :premises (@p359) :args (@t210))
120.60/120.86	(step @p322 :rule implies_elim :premises (@p320))
120.60/120.86	(step @p323 :rule chain_resolution :premises (@p322 @p317 @p315 @p293 @p286) :args ((@list true false false true) (@list @t210 @t201 @t170 @t173)))
120.60/120.86	(step @p324 :rule factoring :premises (@p323))
120.60/120.86	(step @p325 :rule cnf_or_pos :args (@t198))
120.60/120.86	(step @p326 :rule reordering :premises (@p325) :args ((or @t172 @t197 (not @t198))))
120.60/120.86	(step @p327 :rule chain_resolution :premises (@p326 @p324 @p284) :args ((@list true false) (@list @t172 @t198)))
120.60/120.86	(step @p328 :rule cnf_equiv_neg1 :args (@t173))
120.60/120.86	(step @p329 :rule reordering :premises (@p328) :args ((or @t172 @t171 @t173)))
120.60/120.86	(step @p330 :rule chain_resolution :premises (@p329 @p324 @p286) :args ((@list true true) (@list @t172 @t173)))
120.60/120.86	(step @p331 :rule alpha_equiv :args ((forall (@list @t211) (or (not (forall (@list @t212) (or (not (_ @t42 @t211 @t212)) (_ @t42 (_ @t44 @t59 @t211) @t212)))) (not (_ @t42 @t211 @t168)))) @t213 (@list @t41 @t14)))
120.60/120.86	(step @p332 :rule alpha_equiv :args (@t170 (@list @t41 @t4) @t213))
120.60/120.86	(step @p333 :rule trans :premises (@p332 @p331))
120.60/120.86	(step @p334 :rule equiv_elim2 :premises (@p333))
120.60/120.86	(step @p335 :rule chain_resolution :premises (@p334 @p330) :args (@t176 (@list @t170)))
120.60/120.86	(step @p336 :rule instantiate :premises (@p15) :args ((@list @t59 @t168)))
120.60/120.86	(step @p337 :rule bool-double-not-elim :args (@t214))
120.60/120.86	(step @p338 :rule refl :args (@t196))
120.60/120.86	(step @p339 :rule refl :args (@t217))
120.60/120.86	(step @p340 :rule nary_cong :premises (@p339 @p338 @p337) :args ((or @t217 @t196 (not @t215))))
120.60/120.86	(step @p341 :rule cnf_equiv_pos2 :args (@t216))
120.60/120.86	(step @p342 :rule eq_resolve :premises (@p341 @p340))
120.60/120.86	(step @p343 :rule reordering :premises (@p342) :args ((or @t196 @t214 @t217)))
120.60/120.86	(step @p344 false :rule chain_resolution :premises (@p343 @p336 @p335 @p327) :args ((@list false true true) (@list @t216 @t214 @t196)))
120.60/120.86	)
120.60/120.86	% SZS output end Proof
120.60/120.86	% cvc5 exiting
120.60/120.87	EOF