0.00/0.11	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.12	% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM
0.11/0.32	% Computer : n029.cluster.edu
0.11/0.32	% Model    : x86_64 x86_64
0.11/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.32	% Memory   : 8042.1875MB
0.11/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.11/0.32	% CPULimit : 1920
0.11/0.32	% WCLimit  : 240
0.11/0.32	% DateTime : Fri Sep  5 21:43:07 EDT 2025
0.11/0.33	% CPUTime  : 
0.17/0.47	%----Proving TH0
120.52/120.93	--- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s...
120.52/120.93	--- 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...
120.52/120.93	--- 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...
120.52/120.93	--- Run --ho-elim --full-saturate-quant at 14s...
120.52/120.93	% SZS status Theorem
120.52/120.93	% SZS output start Proof
120.52/120.93	(
120.52/120.93	(declare-type tptp.a ())
120.52/120.93	(declare-const tptp.cA (-> (-> tptp.a Bool) Bool))
120.52/120.93	(declare-const tptp.t tptp.a)
120.52/120.93	(define @t1 () (@var "Xe" (-> tptp.a Bool)))
120.52/120.93	(define @t2 () (@var "X" (-> (-> tptp.a Bool) Bool)))
120.52/120.93	(define @t3 () (_ @t2 @t1))
120.52/120.93	(define @t4 () (@var "Xy" tptp.a))
120.52/120.93	(define @t5 () (lambda (@list @t4) false))
120.52/120.93	(define @t6 () (@var "Xz" tptp.a))
120.52/120.93	(define @t7 () (@var "Xt0" tptp.a))
120.52/120.93	(define @t8 () (= @t7 @t6))
120.52/120.93	(define @t9 () (@var "Xx0" (-> tptp.a Bool)))
120.52/120.93	(define @t10 () (_ @t9 @t6))
120.52/120.93	(define @t11 () (or @t10 @t8))
120.52/120.93	(define @t12 () (@list @t6))
120.52/120.93	(define @t13 () (lambda @t12 @t11))
120.52/120.93	(define @t14 () (_ @t2 @t13))
120.52/120.93	(define @t15 () (_ @t1 @t7))
120.52/120.93	(define @t16 () (@list @t7))
120.52/120.93	(define @t17 () (forall @t16 (=> @t15 @t14)))
120.52/120.93	(define @t18 () (_ @t2 @t9))
120.52/120.93	(define @t19 () (=> @t18 @t17))
120.52/120.93	(define @t20 () (@list @t9))
120.52/120.93	(define @t21 () (forall @t20 @t19))
120.52/120.93	(define @t22 () (and @t21 (_ @t2 @t5)))
120.52/120.93	(define @t23 () (=> @t22 @t3))
120.52/120.93	(define @t24 () (@list @t2))
120.52/120.93	(define @t25 () (forall @t24 @t23))
120.52/120.93	(define @t26 () (@var "Xy" (-> tptp.a Bool)))
120.52/120.93	(define @t27 () (_ @t26 tptp.t))
120.52/120.93	(define @t28 () (_ tptp.cA @t26))
120.52/120.93	(define @t29 () (and @t28 @t27))
120.52/120.93	(define @t30 () (@var "Xx0" tptp.a))
120.52/120.93	(define @t31 () (_ @t26 @t30))
120.52/120.93	(define @t32 () (_ @t1 @t30))
120.52/120.93	(define @t33 () (@list @t30))
120.52/120.93	(define @t34 () (forall @t33 (=> @t32 @t31)))
120.52/120.93	(define @t35 () (and @t28 @t34))
120.52/120.93	(define @t36 () (=> @t35 @t29))
120.52/120.93	(define @t37 () (@list @t26))
120.52/120.93	(define @t38 () (forall @t37 @t36))
120.52/120.93	(define @t39 () (@var "Xx" (-> tptp.a Bool)))
120.52/120.93	(define @t40 () (_ @t39 @t30))
120.52/120.93	(define @t41 () (forall @t33 (=> @t32 @t40)))
120.52/120.93	(define @t42 () (and @t41 @t38 @t25))
120.52/120.93	(define @t43 () (@list @t1))
120.52/120.93	(define @t44 () (exists @t43 @t42))
120.52/120.93	(define @t45 () (_ tptp.cA @t39))
120.52/120.93	(define @t46 () (_ @t39 tptp.t))
120.52/120.93	(define @t47 () (and @t46 @t45))
120.52/120.93	(define @t48 () (=> @t47 @t44))
120.52/120.93	(define @t49 () (@list @t39))
120.52/120.93	(define @t50 () (forall @t49 @t48))
120.52/120.93	(define @t51 () (forall @t49 (=> @t47 @t45)))
120.52/120.93	(define @t52 () (and @t51 @t50))
120.52/120.93	(define @t53 () (not @t52))
120.52/120.93	(define @t54 () (@var "BOUND_VARIABLE_7507" (@ho-elim-sort (-> tptp.a Bool))))
120.52/120.93	(define @t55 () (@var "BOUND_VARIABLE_7512" (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) Bool))))
120.52/120.93	(define @t56 () (@const 0 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) Bool)) (@ho-elim-sort (-> tptp.a Bool)) Bool)))
120.52/120.93	(define @t57 () (@const 1 (@ho-elim-sort (-> tptp.a Bool))))
120.52/120.93	(define @t58 () (not (_ @t56 @t55 @t57)))
120.52/120.93	(define @t59 () (@var "BOUND_VARIABLE_7387" tptp.a))
120.52/120.93	(define @t60 () (@var "BOUND_VARIABLE_7521" (@ho-elim-sort (-> tptp.a Bool))))
120.52/120.93	(define @t61 () (@const 2 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a tptp.a Bool))))
120.52/120.93	(define @t62 () (@const 3 (-> (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a tptp.a Bool)) (@ho-elim-sort (-> tptp.a Bool)) (@ho-elim-sort (-> tptp.a tptp.a Bool)))))
120.52/120.93	(define @t63 () (@const 4 (-> (@ho-elim-sort (-> tptp.a tptp.a Bool)) tptp.a (@ho-elim-sort (-> tptp.a Bool)))))
120.52/120.93	(define @t64 () (_ @t63 (_ @t62 @t61 @t60) @t59))
120.52/120.93	(define @t65 () (_ @t56 @t55 @t64))
120.52/120.93	(define @t66 () (@const 5 (-> (@ho-elim-sort (-> tptp.a Bool)) tptp.a Bool)))
120.52/120.93	(define @t67 () (not (_ @t56 @t55 @t60)))
120.52/120.93	(define @t68 () (@list @t60 @t59))
120.52/120.93	(define @t69 () (@list @t55))
120.52/120.93	(define @t70 () (not (forall @t69 (or (not (forall @t68 (or @t67 (not (_ @t66 @t54 @t59)) @t65))) @t58 (_ @t56 @t55 @t54)))))
120.52/120.93	(define @t71 () (@var "BOUND_VARIABLE_7546" (@ho-elim-sort (-> tptp.a Bool))))
120.52/120.93	(define @t72 () (@const 6 (@ho-elim-sort (-> (@ho-elim-sort (-> tptp.a Bool)) Bool))))
120.52/120.93	(define @t73 () (_ @t56 @t72 @t71))
120.52/120.93	(define @t74 () (and @t73 (_ @t66 @t71 tptp.t)))
120.52/120.93	(define @t75 () (_ @t66 @t71 @t30))
120.52/120.93	(define @t76 () (not (_ @t66 @t54 @t30)))
120.52/120.93	(define @t77 () (not @t73))
120.52/120.93	(define @t78 () (@list @t71))
120.52/120.93	(define @t79 () (not (forall @t78 (or @t77 (not (forall @t33 (or @t76 @t75))) @t74))))
120.52/120.93	(define @t80 () (@var "BOUND_VARIABLE_7562" (@ho-elim-sort (-> tptp.a Bool))))
120.52/120.93	(define @t81 () (@list @t54))
120.52/120.93	(define @t82 () (forall (@list @t80) (or (not (_ @t66 @t80 tptp.t)) (not (_ @t56 @t72 @t80)) (not (forall @t81 (or (not (forall @t33 (or @t76 (_ @t66 @t80 @t30)))) @t79 @t70))))))
120.52/120.93	(define @t83 () (_ @t2 @t1))
120.52/120.93	(define @t84 () (@const 7 (-> tptp.a Bool)))
120.52/120.93	(define @t85 () (@const 8 (-> (-> tptp.a Bool) tptp.a tptp.a Bool)))
120.52/120.93	(define @t86 () (not (_ @t1 @t59)))
120.52/120.93	(define @t87 () (_ @t2 @t9))
120.52/120.93	(define @t88 () (not @t87))
120.52/120.93	(define @t89 () (@list @t9 @t59))
120.52/120.93	(define @t90 () (_ @t26 tptp.t))
120.52/120.93	(define @t91 () (tptp.cA @t26))
120.52/120.93	(define @t92 () (_ @t26 @t30))
120.52/120.93	(define @t93 () (_ @t1 @t30))
120.52/120.93	(define @t94 () (not @t93))
120.52/120.93	(define @t95 () (forall @t33 (or @t94 @t92)))
120.52/120.93	(define @t96 () (not @t95))
120.52/120.93	(define @t97 () (forall @t37 (or (not @t91) @t96 (and @t91 @t90))))
120.52/120.93	(define @t98 () (not @t97))
120.52/120.93	(define @t99 () (_ @t39 @t30))
120.52/120.93	(define @t100 () (forall @t33 (or @t94 @t99)))
120.52/120.93	(define @t101 () (not @t100))
120.52/120.93	(define @t102 () (tptp.cA @t39))
120.52/120.93	(define @t103 () (not @t102))
120.52/120.93	(define @t104 () (_ @t39 tptp.t))
120.52/120.93	(define @t105 () (not @t104))
120.52/120.93	(define @t106 () (not (forall @t49 (or @t105 @t103 (not (forall @t43 (or @t101 @t98 (not (forall @t24 (or (not (forall @t89 (or @t88 @t86 (_ @t2 (_ (_ @t85 @t9) @t59))))) (not (_ @t2 @t84)) @t83))))))))))
120.52/120.93	(define @t107 () (@var "BOUND_VARIABLE_7448" tptp.a))
120.52/120.93	(define @t108 () (lambda (@list @t107) false))
120.52/120.93	(define @t109 () (_ @t2 @t108))
120.52/120.93	(define @t110 () (_ @t9 @t6))
120.52/120.93	(define @t111 () (forall @t89 (or @t88 @t86 (_ @t2 (lambda @t12 (or @t110 (= @t6 @t59)))))))
120.52/120.93	(define @t112 () (not @t111))
120.52/120.93	(define @t113 () (forall @t24 (or @t112 (not @t109) @t83)))
120.52/120.93	(define @t114 () (not @t113))
120.52/120.93	(define @t115 () (or @t101 @t98 @t114))
120.52/120.93	(define @t116 () (not (forall @t43 @t115)))
120.52/120.93	(define @t117 () (forall @t49 (or @t105 @t103 @t116)))
120.52/120.93	(define @t118 () (not @t45))
120.52/120.93	(define @t119 () (not @t46))
120.52/120.93	(define @t120 () (or @t119 @t118 @t116))
120.52/120.93	(define @t121 () (or @t119 @t118))
120.52/120.93	(define @t122 () (not @t47))
120.52/120.93	(define @t123 () (and @t100 @t97 @t113))
120.52/120.93	(define @t124 () (forall @t43 (not @t123)))
120.52/120.93	(define @t125 () (not @t124))
120.52/120.93	(define @t126 () (_ @t2 @t108))
120.52/120.93	(define @t127 () (not @t126))
120.52/120.93	(define @t128 () (or @t112 @t127 @t3))
120.52/120.93	(define @t129 () (and @t111 @t126))
120.52/120.93	(define @t130 () (or @t110 (= @t59 @t6)))
120.52/120.93	(define @t131 () (lambda @t12 @t130))
120.52/120.93	(define @t132 () (_ @t2 @t131))
120.52/120.93	(define @t133 () (or @t88 @t86 @t132))
120.52/120.93	(define @t134 () (or @t86 @t132))
120.52/120.93	(define @t135 () (or @t88 @t134))
120.52/120.93	(define @t136 () (forall @t89 @t135))
120.52/120.93	(define @t137 () (@list @t59))
120.52/120.93	(define @t138 () (forall @t137 @t135))
120.52/120.93	(define @t139 () (forall @t137 @t134))
120.52/120.93	(define @t140 () (or @t88 @t139))
120.52/120.93	(define @t141 () (or @t110 @t8))
120.52/120.93	(define @t142 () (lambda @t12 @t141))
120.52/120.93	(define @t143 () (_ @t2 @t142))
120.52/120.93	(define @t144 () (_ @t1 @t7))
120.52/120.93	(define @t145 () (forall @t16 (or (not @t144) @t143)))
120.52/120.93	(define @t146 () (not @t18))
120.52/120.93	(define @t147 () (or @t146 @t145))
120.52/120.93	(define @t148 () (not @t15))
120.52/120.93	(define @t149 () (or @t148 @t14))
120.52/120.93	(define @t150 () (not @t28))
120.52/120.93	(define @t151 () (or @t150 @t96 @t29))
120.52/120.93	(define @t152 () (and @t28 @t95))
120.52/120.93	(define @t153 () (not @t32))
120.52/120.93	(define @t154 () (or @t153 @t31))
120.52/120.93	(define @t155 () (or @t153 @t40))
120.52/120.93	(define @t156 () (@quantifiers_skolemize @t82 0))
120.52/120.93	(define @t157 () (_ @t66 @t156 @t30))
120.52/120.93	(define @t158 () (forall @t81 (or (not (forall @t33 (or @t76 @t157))) @t79 @t70)))
120.52/120.93	(define @t159 () (not @t158))
120.52/120.93	(define @t160 () (_ @t66 @t156 tptp.t))
120.52/120.93	(define @t161 () (not @t160))
120.52/120.93	(define @t162 () (or @t161 (not (_ @t56 @t72 @t156)) @t159))
120.52/120.93	(define @t163 () (@list true))
120.52/120.93	(define @t164 () (@list @t162))
120.52/120.93	(define @t165 () (_ @t63 (_ @t62 @t61 @t57) tptp.t))
120.52/120.93	(define @t166 () (not (_ @t66 @t165 @t30)))
120.52/120.93	(define @t167 () (forall @t78 (or @t77 (not (forall @t33 (or @t166 @t75))) @t74)))
120.52/120.93	(define @t168 () (@quantifiers_skolemize @t167 0))
120.52/120.93	(define @t169 () (_ @t56 @t72 @t168))
120.52/120.93	(define @t170 () (_ @t66 @t168 tptp.t))
120.52/120.93	(define @t171 () (and @t169 @t170))
120.52/120.93	(define @t172 () (forall @t33 (or @t166 (_ @t66 @t168 @t30))))
120.52/120.93	(define @t173 () (not @t172))
120.52/120.93	(define @t174 () (not @t169))
120.52/120.93	(define @t175 () (or @t174 @t173 @t171))
120.52/120.93	(define @t176 () (@var "BOUND_VARIABLE_7489" tptp.a))
120.52/120.93	(define @t177 () (@var "BOUND_VARIABLE_7488" tptp.a))
120.52/120.93	(define @t178 () (@var "BOUND_VARIABLE_7588" (@ho-elim-sort (-> tptp.a Bool))))
120.52/120.93	(define @t179 () (_ @t66 (_ @t63 (_ @t62 @t61 @t178) @t177) @t176))
120.52/120.93	(define @t180 () (= @t177 @t176))
120.52/120.93	(define @t181 () (or (_ @t66 @t178 @t176) @t180))
120.52/120.93	(define @t182 () (@list @t178 @t177 @t176))
120.52/120.93	(define @t183 () (forall @t182 (= @t179 @t181)))
120.52/120.93	(define @t184 () (@var "BOUND_VARIABLE_7487" (-> tptp.a Bool)))
120.52/120.93	(define @t185 () (forall (@list @t184 @t177 @t176) (= (_ @t85 @t184 @t177 @t176) (or (_ @t184 @t176) @t180))))
120.52/120.93	(define @t186 () (_ @t66 @t165 tptp.t))
120.52/120.93	(define @t187 () (_ @t66 @t57 tptp.t))
120.52/120.93	(define @t188 () (or @t187 (= tptp.t tptp.t)))
120.52/120.93	(define @t189 () (= @t188 @t186))
120.52/120.93	(define @t190 () (forall @t182 (= @t181 @t179)))
120.52/120.93	(define @t191 () (@list false))
120.52/120.93	(define @t192 () (@list @t190))
120.52/120.93	(define @t193 () (not @t186))
120.52/120.93	(define @t194 () (or @t193 @t170))
120.52/120.93	(define @t195 () (not @t175))
120.52/120.93	(define @t196 () (not @t167))
120.52/120.93	(define @t197 () (forall @t33 (or @t166 @t157)))
120.52/120.93	(define @t198 () (@quantifiers_skolemize @t197 0))
120.52/120.93	(define @t199 () (_ @t66 @t156 @t198))
120.52/120.93	(define @t200 () (_ @t66 @t165 @t198))
120.52/120.93	(define @t201 () (not @t200))
120.52/120.93	(define @t202 () (or @t201 @t199))
120.52/120.93	(define @t203 () (= tptp.t @t198))
120.52/120.93	(define @t204 () (_ @t66 @t57 @t198))
120.52/120.93	(define @t205 () (or @t204 @t203))
120.52/120.93	(define @t206 () (= @t205 @t200))
120.52/120.93	(define @t207 () (= @t200 @t205))
120.52/120.93	(define @t208 () (@var "BOUND_VARIABLE_7482" tptp.a))
120.52/120.93	(define @t209 () (@list @t208))
120.52/120.93	(define @t210 () (forall @t209 (not (_ @t84 @t208))))
120.52/120.93	(define @t211 () (forall @t33 (or (not (_ @t66 @t57 @t30)) @t157)))
120.52/120.93	(define @t212 () (@quantifiers_skolemize @t211 0))
120.52/120.93	(define @t213 () (_ @t66 @t57 @t212))
120.52/120.93	(define @t214 () (not @t213))
120.52/120.93	(define @t215 () (or @t214 (_ @t66 @t156 @t212)))
120.52/120.93	(define @t216 () (not @t215))
120.52/120.93	(define @t217 () (not @t211))
120.52/120.93	(define @t218 () (not @t204))
120.52/120.93	(define @t219 () (or @t218 @t199))
120.52/120.93	(define @t220 () (not @t203))
120.52/120.93	(define @t221 () (not @t199))
120.52/120.93	(define @t222 () (and @t160 @t203 @t221))
120.52/120.93	(define @t223 () (not @t202))
120.52/120.93	(define @t224 () (not @t197))
120.52/120.93	(define @t225 () (not (_ @t66 @t165 @t59)))
120.52/120.93	(define @t226 () (forall @t69 (or (not (forall @t68 (or @t67 @t225 @t65))) @t58 (_ @t56 @t55 @t165))))
120.52/120.93	(define @t227 () (not @t226))
120.52/120.93	(define @t228 () (or @t224 @t196 @t227))
120.52/120.93	(define @t229 () (@quantifiers_skolemize @t226 0))
120.52/120.93	(define @t230 () (_ @t56 @t229 @t165))
120.52/120.93	(define @t231 () (_ @t56 @t229 @t57))
120.52/120.93	(define @t232 () (not @t231))
120.52/120.93	(define @t233 () (forall @t68 (or (not (_ @t56 @t229 @t60)) @t225 (_ @t56 @t229 @t64))))
120.52/120.93	(define @t234 () (not @t233))
120.52/120.93	(define @t235 () (or @t234 @t232 @t230))
120.52/120.93	(define @t236 () (not @t235))
120.52/120.93	(define @t237 () (@list @t235))
120.52/120.93	(define @t238 () (or @t232 @t193 @t230))
120.52/120.93	(assume @p1 @t53)
120.52/120.93	(assume @p2 true)
120.52/120.93	; WARNING: add trust step for TRUST
120.52/120.93	; trust TRUST PREPROCESS_HO_ELIM
120.52/120.93	(step @p3 :rule trust :premises () :args ((= @t106 (not @t82))))
120.52/120.93	; trust TRUST PREPROCESS_HO_ELIM
120.52/120.93	(step @p4 :rule trust :premises () :args ((= (not @t117) @t106)))
120.52/120.93	(step @p5 :rule aci_norm :args ((= (and true @t117) @t117)))
120.52/120.93	(step @p6 :rule refl :args (@t116))
120.52/120.93	(step @p7 :rule refl :args (@t102))
120.52/120.93	(step @p8 :rule refl :args (@t45))
120.52/120.93	(step @p9 :rule cong :premises (@p8 @p7) :args ((= @t45 @t102)))
120.52/120.93	(step @p10 :rule symm :premises (@p9))
120.52/120.93	(step @p11 :rule eq_resolve :premises (@p8 @p10))
120.52/120.93	(step @p12 :rule cong :premises (@p11) :args (@t118))
120.52/120.93	(step @p13 :rule refl :args (@t104))
120.52/120.93	(step @p14 :rule refl :args (@t46))
120.52/120.93	(step @p15 :rule cong :premises (@p14 @p13) :args ((= @t46 @t104)))
120.52/120.93	(step @p16 :rule symm :premises (@p15))
120.52/120.93	(step @p17 :rule eq_resolve :premises (@p14 @p16))
120.52/120.93	(step @p18 :rule cong :premises (@p17) :args (@t119))
120.52/120.93	(step @p19 :rule nary_cong :premises (@p18 @p12 @p6) :args (@t120))
120.52/120.93	(step @p20 :rule cong :premises (@p19) :args ((forall @t49 @t120)))
120.52/120.93	(step @p21 :rule aci_norm :args ((= (or @t121 @t116) @t120)))
120.52/120.93	(step @p22 :rule bool-and-de-morgan :args (@t46 @t45 true))
120.52/120.93	(step @p23 :rule nary_cong :premises (@p22 @p6) :args ((or @t122 @t116)))
120.52/120.93	(step @p24 :rule trans :premises (@p23 @p21))
120.52/120.93	(step @p25 :rule bool-impl-elim :args (@t47 @t116))
120.52/120.93	(step @p26 :rule trans :premises (@p25 @p24))
120.52/120.93	(step @p27 :rule cong :premises (@p26) :args ((forall @t49 (=> @t47 @t116))))
120.52/120.93	(step @p28 :rule trans :premises (@p27 @p20))
120.52/120.93	(step @p29 :rule aci_norm :args ((= (or @t101 (or @t98 @t114)) @t115)))
120.52/120.93	(step @p30 :rule bool-and-de-morgan :args (@t97 @t113 true))
120.52/120.93	(step @p31 :rule refl :args (@t101))
120.52/120.93	(step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or @t101 (not (and @t97 @t113)))))
120.52/120.93	(step @p33 :rule bool-and-de-morgan :args (@t100 @t97 (and @t113)))
120.52/120.93	(step @p34 :rule trans :premises (@p33 @p32))
120.52/120.93	(step @p35 :rule trans :premises (@p34 @p29))
120.52/120.93	(step @p36 :rule cong :premises (@p35) :args (@t124))
120.52/120.93	(step @p37 :rule cong :premises (@p36) :args (@t125))
120.52/120.93	(step @p38 :rule exists-elim :args ((= (exists @t43 @t123) @t125)))
120.52/120.93	(step @p39 :rule trans :premises (@p38 @p37))
120.52/120.93	(step @p40 :rule refl :args (@t83))
120.52/120.93	(step @p41 :rule refl :args (@t3))
120.52/120.93	(step @p42 :rule cong :premises (@p41 @p40) :args ((= @t3 @t83)))
120.52/120.93	(step @p43 :rule symm :premises (@p42))
120.52/120.93	(step @p44 :rule eq_resolve :premises (@p41 @p43))
120.52/120.93	(step @p45 :rule refl :args ((_ @t2 @t108)))
120.52/120.93	(step @p46 :rule refl :args (@t108))
120.52/120.93	(step @p47 :rule cong :premises (@p46) :args (@t109))
120.52/120.93	(step @p48 :rule trans :premises (@p47 @p45))
120.52/120.93	(step @p49 :rule refl :args (@t2))
120.52/120.93	(step @p50 :rule ho_cong :premises (@p49 @p46))
120.52/120.93	(step @p51 :rule cong :premises (@p50 @p48) :args ((= @t126 @t109)))
120.52/120.93	(step @p52 :rule symm :premises (@p51))
120.52/120.93	(step @p53 :rule refl :args ((_ @t2 @t108)))
120.52/120.93	(step @p54 :rule eq_resolve :premises (@p53 @p52))
120.52/120.93	(step @p55 :rule cong :premises (@p54) :args (@t127))
120.52/120.93	(step @p56 :rule refl :args (@t112))
120.52/120.93	(step @p57 :rule nary_cong :premises (@p56 @p55 @p44) :args (@t128))
120.52/120.93	(step @p58 :rule cong :premises (@p57) :args ((forall @t24 @t128)))
120.52/120.93	(step @p59 :rule aci_norm :args ((= (or (or @t112 @t127) @t3) @t128)))
120.52/120.93	(step @p60 :rule bool-and-de-morgan :args (@t111 @t126 true))
120.52/120.93	(step @p61 :rule nary_cong :premises (@p60 @p41) :args ((or (not @t129) @t3)))
120.52/120.93	(step @p62 :rule trans :premises (@p61 @p59))
120.52/120.93	(step @p63 :rule bool-impl-elim :args (@t129 @t3))
120.52/120.93	(step @p64 :rule trans :premises (@p63 @p62))
120.52/120.93	(step @p65 :rule cong :premises (@p64) :args ((forall @t24 (=> @t129 @t3))))
120.52/120.93	(step @p66 :rule trans :premises (@p65 @p58))
120.52/120.93	(step @p67 :rule refl :args (@t3))
120.52/120.93	(step @p68 :rule symm :premises (@p46))
120.52/120.93	(step @p69 :rule alpha_equiv :args (@t5 (@list @t4) (@list @t107)))
120.52/120.93	(step @p70 :rule trans :premises (@p69 @p68))
120.52/120.93	(step @p71 :rule refl :args (@t2))
120.52/120.93	(step @p72 :rule ho_cong :premises (@p71 @p70))
120.52/120.93	(step @p73 :rule eq-symm :args (@t59 @t6))
120.52/120.93	(step @p74 :rule refl :args (@t110))
120.52/120.93	(step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t130))
120.52/120.93	(step @p76 :rule cong :premises (@p75) :args (@t131))
120.52/120.93	(step @p77 :rule cong :premises (@p76) :args (@t132))
120.52/120.93	(step @p78 :rule refl :args (@t86))
120.52/120.93	(step @p79 :rule refl :args (@t88))
120.52/120.93	(step @p80 :rule nary_cong :premises (@p79 @p78 @p77) :args (@t133))
120.52/120.93	(step @p81 :rule aci_norm :args ((= @t135 @t133)))
120.52/120.93	(step @p82 :rule trans :premises (@p81 @p80))
120.52/120.93	(step @p83 :rule cong :premises (@p82) :args (@t136))
120.52/120.93	(step @p84 :rule quant-merge-prenex :args ((= (forall @t20 @t138) @t136)))
120.52/120.93	(step @p85 :rule alpha_equiv :args (@t139 (@list @t59) (@list @t7)))
120.52/120.93	(step @p86 :rule refl :args (@t88))
120.52/120.93	(step @p87 :rule nary_cong :premises (@p86 @p85) :args (@t140))
120.52/120.93	(step @p88 :rule quant-miniscope-or :args ((= @t138 @t140)))
120.52/120.93	(step @p89 :rule trans :premises (@p88 @p87))
120.52/120.93	(step @p90 :rule symm :premises (@p89))
120.52/120.93	(step @p91 :rule cong :premises (@p90) :args ((forall @t20 (or @t88 @t145))))
120.52/120.93	(step @p92 :rule trans :premises (@p91 @p84))
120.52/120.93	(step @p93 :rule trans :premises (@p92 @p83))
120.52/120.93	(step @p94 :rule refl :args (@t145))
120.52/120.93	(step @p95 :rule refl :args (@t87))
120.52/120.93	(step @p96 :rule refl :args (@t18))
120.52/120.93	(step @p97 :rule cong :premises (@p96 @p95) :args ((= @t18 @t87)))
120.52/120.93	(step @p98 :rule symm :premises (@p97))
120.52/120.93	(step @p99 :rule eq_resolve :premises (@p96 @p98))
120.52/120.93	(step @p100 :rule cong :premises (@p99) :args (@t146))
120.52/120.93	(step @p101 :rule nary_cong :premises (@p100 @p94) :args (@t147))
120.52/120.93	(step @p102 :rule cong :premises (@p101) :args ((forall @t20 @t147)))
120.52/120.93	(step @p103 :rule trans :premises (@p102 @p93))
120.52/120.93	(step @p104 :rule bool-impl-elim :args (@t18 @t145))
120.52/120.93	(step @p105 :rule cong :premises (@p104) :args ((forall @t20 (=> @t18 @t145))))
120.52/120.93	(step @p106 :rule trans :premises (@p105 @p103))
120.52/120.93	(step @p107 :rule refl :args ((_ @t2 @t13)))
120.52/120.93	(step @p108 :rule refl :args (@t8))
120.52/120.93	(step @p109 :rule refl :args (@t110))
120.52/120.93	(step @p110 :rule nary_cong :premises (@p109 @p108) :args (@t141))
120.52/120.93	(step @p111 :rule cong :premises (@p110) :args (@t142))
120.52/120.93	(step @p112 :rule cong :premises (@p111) :args (@t143))
120.52/120.93	(step @p113 :rule trans :premises (@p112 @p107))
120.52/120.93	(step @p114 :rule ho_cong :premises (@p49 @p111))
120.52/120.93	(step @p115 :rule cong :premises (@p114 @p113) :args ((= (_ @t2 @t142) @t143)))
120.52/120.93	(step @p116 :rule symm :premises (@p115))
120.52/120.93	(step @p117 :rule refl :args (@t14))
120.52/120.93	(step @p118 :rule eq_resolve :premises (@p117 @p116))
120.52/120.93	(step @p119 :rule refl :args (@t10))
120.52/120.93	(step @p120 :rule cong :premises (@p119 @p109) :args ((= @t10 @t110)))
120.52/120.93	(step @p121 :rule symm :premises (@p120))
120.52/120.93	(step @p122 :rule eq_resolve :premises (@p119 @p121))
120.52/120.93	(step @p123 :rule nary_cong :premises (@p122 @p108) :args (@t11))
120.52/120.93	(step @p124 :rule cong :premises (@p123) :args (@t13))
120.52/120.93	(step @p125 :rule ho_cong :premises (@p49 @p124))
120.52/120.93	(step @p126 :rule trans :premises (@p125 @p118))
120.52/120.93	(step @p127 :rule refl :args (@t144))
120.52/120.93	(step @p128 :rule refl :args (@t15))
120.52/120.93	(step @p129 :rule cong :premises (@p128 @p127) :args ((= @t15 @t144)))
120.52/120.93	(step @p130 :rule symm :premises (@p129))
120.52/120.93	(step @p131 :rule eq_resolve :premises (@p128 @p130))
120.52/120.93	(step @p132 :rule cong :premises (@p131) :args (@t148))
120.52/120.93	(step @p133 :rule nary_cong :premises (@p132 @p126) :args (@t149))
120.52/120.93	(step @p134 :rule cong :premises (@p133) :args ((forall @t16 @t149)))
120.52/120.93	(step @p135 :rule bool-impl-elim :args (@t15 @t14))
120.52/120.93	(step @p136 :rule cong :premises (@p135) :args (@t17))
120.52/120.93	(step @p137 :rule trans :premises (@p136 @p134))
120.52/120.93	(step @p138 :rule refl :args (@t18))
120.52/120.93	(step @p139 :rule cong :premises (@p138 @p137) :args (@t19))
120.52/120.93	(step @p140 :rule cong :premises (@p139) :args (@t21))
120.52/120.93	(step @p141 :rule trans :premises (@p140 @p106))
120.52/120.93	(step @p142 :rule nary_cong :premises (@p141 @p72) :args (@t22))
120.52/120.93	(step @p143 :rule cong :premises (@p142 @p67) :args (@t23))
120.52/120.93	(step @p144 :rule cong :premises (@p143) :args (@t25))
120.52/120.93	(step @p145 :rule trans :premises (@p144 @p66))
120.52/120.93	(step @p146 :rule refl :args (@t90))
120.52/120.93	(step @p147 :rule refl :args (@t27))
120.52/120.93	(step @p148 :rule cong :premises (@p147 @p146) :args ((= @t27 @t90)))
120.52/120.93	(step @p149 :rule symm :premises (@p148))
120.52/120.93	(step @p150 :rule eq_resolve :premises (@p147 @p149))
120.52/120.93	(step @p151 :rule refl :args (@t91))
120.52/120.93	(step @p152 :rule refl :args (@t28))
120.52/120.93	(step @p153 :rule cong :premises (@p152 @p151) :args ((= @t28 @t91)))
120.52/120.93	(step @p154 :rule symm :premises (@p153))
120.52/120.93	(step @p155 :rule eq_resolve :premises (@p152 @p154))
120.52/120.93	(step @p156 :rule nary_cong :premises (@p155 @p150) :args (@t29))
120.52/120.93	(step @p157 :rule refl :args (@t96))
120.52/120.93	(step @p158 :rule cong :premises (@p155) :args (@t150))
120.52/120.93	(step @p159 :rule nary_cong :premises (@p158 @p157 @p156) :args (@t151))
120.52/120.93	(step @p160 :rule cong :premises (@p159) :args ((forall @t37 @t151)))
120.52/120.93	(step @p161 :rule aci_norm :args ((= (or (or @t150 @t96) @t29) @t151)))
120.52/120.93	(step @p162 :rule refl :args (@t29))
120.52/120.93	(step @p163 :rule bool-and-de-morgan :args (@t28 @t95 true))
120.52/120.93	(step @p164 :rule nary_cong :premises (@p163 @p162) :args ((or (not @t152) @t29)))
120.52/120.93	(step @p165 :rule trans :premises (@p164 @p161))
120.52/120.93	(step @p166 :rule bool-impl-elim :args (@t152 @t29))
120.52/120.93	(step @p167 :rule trans :premises (@p166 @p165))
120.52/120.93	(step @p168 :rule cong :premises (@p167) :args ((forall @t37 (=> @t152 @t29))))
120.52/120.93	(step @p169 :rule trans :premises (@p168 @p160))
120.52/120.93	(step @p170 :rule refl :args (@t29))
120.52/120.93	(step @p171 :rule refl :args (@t92))
120.52/120.93	(step @p172 :rule refl :args (@t31))
120.52/120.93	(step @p173 :rule cong :premises (@p172 @p171) :args ((= @t31 @t92)))
120.52/120.93	(step @p174 :rule symm :premises (@p173))
120.52/120.93	(step @p175 :rule eq_resolve :premises (@p172 @p174))
120.52/120.93	(step @p176 :rule refl :args (@t93))
120.52/120.93	(step @p177 :rule refl :args (@t32))
120.52/120.93	(step @p178 :rule cong :premises (@p177 @p176) :args ((= @t32 @t93)))
120.52/120.93	(step @p179 :rule symm :premises (@p178))
120.52/120.93	(step @p180 :rule eq_resolve :premises (@p177 @p179))
120.52/120.93	(step @p181 :rule cong :premises (@p180) :args (@t153))
120.52/120.93	(step @p182 :rule nary_cong :premises (@p181 @p175) :args (@t154))
120.52/120.93	(step @p183 :rule cong :premises (@p182) :args ((forall @t33 @t154)))
120.52/120.93	(step @p184 :rule bool-impl-elim :args (@t32 @t31))
120.52/120.93	(step @p185 :rule cong :premises (@p184) :args (@t34))
120.52/120.93	(step @p186 :rule trans :premises (@p185 @p183))
120.52/120.93	(step @p187 :rule refl :args (@t28))
120.52/120.93	(step @p188 :rule nary_cong :premises (@p187 @p186) :args (@t35))
120.52/120.93	(step @p189 :rule cong :premises (@p188 @p170) :args (@t36))
120.52/120.93	(step @p190 :rule cong :premises (@p189) :args (@t38))
120.52/120.93	(step @p191 :rule trans :premises (@p190 @p169))
120.52/120.93	(step @p192 :rule refl :args (@t99))
120.52/120.93	(step @p193 :rule refl :args (@t40))
120.52/120.93	(step @p194 :rule cong :premises (@p193 @p192) :args ((= @t40 @t99)))
120.52/120.93	(step @p195 :rule symm :premises (@p194))
120.52/120.93	(step @p196 :rule eq_resolve :premises (@p193 @p195))
120.52/120.93	(step @p197 :rule nary_cong :premises (@p181 @p196) :args (@t155))
120.52/120.93	(step @p198 :rule cong :premises (@p197) :args ((forall @t33 @t155)))
120.52/120.93	(step @p199 :rule bool-impl-elim :args (@t32 @t40))
120.52/120.93	(step @p200 :rule cong :premises (@p199) :args (@t41))
120.52/120.93	(step @p201 :rule trans :premises (@p200 @p198))
120.52/120.93	(step @p202 :rule nary_cong :premises (@p201 @p191 @p145) :args (@t42))
120.52/120.93	(step @p203 :rule cong :premises (@p202) :args (@t44))
120.52/120.93	(step @p204 :rule trans :premises (@p203 @p39))
120.52/120.93	(step @p205 :rule refl :args (@t47))
120.52/120.93	(step @p206 :rule cong :premises (@p205 @p204) :args (@t48))
120.52/120.93	(step @p207 :rule cong :premises (@p206) :args (@t50))
120.52/120.93	(step @p208 :rule trans :premises (@p207 @p28))
120.52/120.93	(step @p209 :rule quant-unused-vars :args ((= (forall @t49 true) true)))
120.52/120.93	(step @p210 :rule bool-or-taut2 :args ((or @t119) @t45 false false))
120.52/120.93	(step @p211 :rule aci_norm :args ((= (or @t121 @t45) (or @t119 @t118 @t45))))
120.52/120.93	(step @p212 :rule trans :premises (@p211 @p210))
120.52/120.93	(step @p213 :rule nary_cong :premises (@p22 @p8) :args ((or @t122 @t45)))
120.52/120.93	(step @p214 :rule trans :premises (@p213 @p212))
120.52/120.93	(step @p215 :rule bool-impl-elim :args (@t47 @t45))
120.52/120.93	(step @p216 :rule trans :premises (@p215 @p214))
120.52/120.93	(step @p217 :rule cong :premises (@p216) :args (@t51))
120.52/120.93	(step @p218 :rule trans :premises (@p217 @p209))
120.52/120.93	(step @p219 :rule nary_cong :premises (@p218 @p208) :args (@t52))
120.52/120.93	(step @p220 :rule trans :premises (@p219 @p5))
120.52/120.93	(step @p221 :rule cong :premises (@p220) :args (@t53))
120.52/120.93	(step @p222 :rule trans :premises (@p221 @p4 @p3))
120.52/120.93	(step @p223 :rule eq_resolve :premises (@p1 @p222))
120.52/120.93	(step @p224 :rule skolemize :premises (@p223))
120.52/120.93	(step @p225 :rule bool-double-not-elim :args (@t158))
120.52/120.93	(step @p226 :rule refl :args (@t162))
120.52/120.93	(step @p227 :rule nary_cong :premises (@p226 @p225) :args ((or @t162 (not @t159))))
120.52/120.93	(step @p228 :rule cnf_or_neg :args (@t162 2))
120.52/120.93	(step @p229 :rule eq_resolve :premises (@p228 @p227))
120.52/120.93	(step @p230 :rule reordering :premises (@p229) :args ((or @t158 @t162)))
120.52/120.93	(step @p231 :rule chain_resolution :premises (@p230 @p224) :args (@t163 @t164))
120.52/120.93	(step @p232 :rule instantiate :premises (@p231) :args ((@list @t165)))
120.52/120.93	(step @p233 :rule bool-double-not-elim :args (@t169))
120.52/120.93	(step @p234 :rule refl :args (@t175))
120.52/120.93	(step @p235 :rule nary_cong :premises (@p234 @p233) :args ((or @t175 (not @t174))))
120.52/120.93	(step @p236 :rule cnf_or_neg :args (@t175 0))
120.52/120.93	(step @p237 :rule eq_resolve :premises (@p236 @p235))
120.52/120.93	(step @p238 :rule reordering :premises (@p237) :args ((or @t169 @t175)))
120.52/120.93	(step @p239 :rule bool-double-not-elim :args (@t172))
120.52/120.93	(step @p240 :rule nary_cong :premises (@p234 @p239) :args ((or @t175 (not @t173))))
120.52/120.93	(step @p241 :rule cnf_or_neg :args (@t175 1))
120.52/120.93	(step @p242 :rule eq_resolve :premises (@p241 @p240))
120.52/120.93	(step @p243 :rule reordering :premises (@p242) :args ((or @t172 @t175)))
120.52/120.93	(step @p244 :rule cnf_or_neg :args (@t175 2))
120.52/120.93	(step @p245 :rule cnf_and_neg :args (@t171))
120.52/120.93	(step @p246 :rule reordering :premises (@p245) :args ((or @t174 @t171 (not @t170))))
120.52/120.93	(step @p247 :rule eq-symm :args (@t179 @t181))
120.52/120.93	(step @p248 :rule cong :premises (@p247) :args (@t183))
120.52/120.93	; trust TRUST PREPROCESS_HO_ELIM
120.52/120.93	(step @p249 :rule trust :premises () :args ((= @t185 @t183)))
120.52/120.93	(step @p250 :rule trans :premises (@p249 @p248))
120.52/120.93	; trust TRUST PREPROCESS_HO_ELIM_LEMMA
120.52/120.93	(step @p251 :rule trust :premises () :args (@t185))
120.52/120.93	(step @p252 :rule eq_resolve :premises (@p251 @p250))
120.52/120.93	(step @p253 :rule bool-eq-true :args (@t186))
120.52/120.93	(step @p254 :rule eq-symm :args (true @t186))
120.52/120.93	(step @p255 :rule trans :premises (@p254 @p253))
120.52/120.93	(step @p256 :rule refl :args (@t186))
120.52/120.93	(step @p257 :rule absorb :args ((= (or @t187 true) true)))
120.52/120.93	(step @p258 :rule eq-refl :args (tptp.t))
120.52/120.93	(step @p259 :rule refl :args (@t187))
120.52/120.93	(step @p260 :rule nary_cong :premises (@p259 @p258) :args (@t188))
120.52/120.93	(step @p261 :rule trans :premises (@p260 @p257))
120.52/120.93	(step @p262 :rule cong :premises (@p261 @p256) :args (@t189))
120.52/120.93	(step @p263 :rule trans :premises (@p262 @p255))
120.52/120.93	(step @p264 :rule refl :args (@t190))
120.52/120.93	(step @p265 :rule cong :premises (@p264 @p263) :args ((=> @t190 @t189)))
120.52/120.93	(assume-push @p430 @t190)
120.52/120.93	(step @p267 :rule instantiate :premises (@p252) :args ((@list @t57 tptp.t tptp.t)))
120.52/120.93	(step-pop @p430 :rule scope :premises (@p267))
120.52/120.93	(step @p268 :rule process_scope :premises (@p430) :args (@t189))
120.52/120.93	(step @p270 :rule eq_resolve :premises (@p268 @p265))
120.52/120.93	(step @p271 :rule implies_elim :premises (@p270))
120.52/120.93	(step @p272 :rule chain_resolution :premises (@p271 @p252) :args (@t191 @t192))
120.52/120.93	(step @p273 :rule cnf_or_pos :args (@t194))
120.52/120.93	(step @p274 :rule reordering :premises (@p273) :args ((or @t193 @t170 (not @t194))))
120.52/120.93	(assume-push @p432 @t172)
120.52/120.93	(step @p276 :rule instantiate :premises (@p432) :args ((@list tptp.t)))
120.52/120.93	(step-pop @p432 :rule scope :premises (@p276))
120.52/120.93	(step @p277 :rule process_scope :premises (@p432) :args (@t194))
120.52/120.93	(step @p279 :rule implies_elim :premises (@p277))
120.52/120.93	(step @p280 :rule chain_resolution :premises (@p279 @p274 @p272 @p246 @p244 @p243 @p238) :args ((@list true false true true false false) (@list @t194 @t186 @t170 @t171 @t172 @t169)))
120.52/120.93	(step @p281 :rule factoring :premises (@p280))
120.52/120.93	(step @p282 :rule refl :args (@t195))
120.52/120.93	(step @p283 :rule bool-double-not-elim :args (@t167))
120.52/120.93	(step @p284 :rule nary_cong :premises (@p283 @p282) :args ((or (not @t196) @t195)))
120.52/120.93	(assume-push @p434 @t196)
120.52/120.93	(step @p286 :rule skolemize :premises (@p434))
120.52/120.93	(step-pop @p434 :rule scope :premises (@p286))
120.52/120.93	(step @p287 :rule process_scope :premises (@p434) :args (@t195))
120.52/120.93	(step @p289 :rule implies_elim :premises (@p287))
120.52/120.93	(step @p290 :rule eq_resolve :premises (@p289 @p284))
120.52/120.93	(step @p291 :rule chain_resolution :premises (@p290 @p281) :args (@t191 (@list @t175)))
120.52/120.93	(step @p292 :rule cnf_or_neg :args (@t202 1))
120.52/120.93	(step @p293 :rule bool-double-not-elim :args (@t200))
120.52/120.93	(step @p294 :rule refl :args (@t202))
120.52/120.93	(step @p295 :rule nary_cong :premises (@p294 @p293) :args ((or @t202 (not @t201))))
120.52/120.93	(step @p296 :rule cnf_or_neg :args (@t202 0))
120.52/120.93	(step @p297 :rule eq_resolve :premises (@p296 @p295))
120.52/120.93	(step @p298 :rule reordering :premises (@p297) :args ((or @t200 @t202)))
120.52/120.93	(step @p299 :rule eq-symm :args (@t205 @t200))
120.52/120.93	(step @p300 :rule cong :premises (@p264 @p299) :args ((=> @t190 @t206)))
120.52/120.93	(assume-push @p436 @t190)
120.52/120.93	(step @p302 :rule instantiate :premises (@p252) :args ((@list @t57 tptp.t @t198)))
120.52/120.93	(step-pop @p436 :rule scope :premises (@p302))
120.52/120.93	(step @p303 :rule process_scope :premises (@p436) :args (@t206))
120.52/120.93	(step @p305 :rule eq_resolve :premises (@p303 @p300))
120.52/120.93	(step @p306 :rule implies_elim :premises (@p305))
120.52/120.93	(step @p307 :rule chain_resolution :premises (@p306 @p252) :args (@t191 @t192))
120.52/120.93	(step @p308 :rule cnf_equiv_pos1 :args (@t207))
120.52/120.93	(step @p309 :rule reordering :premises (@p308) :args ((or @t201 @t205 (not @t207))))
120.52/120.93	; trust TRUST PREPROCESS_HO_ELIM
120.52/120.93	(step @p310 :rule trust :premises () :args ((= @t210 (forall @t209 (not (_ @t66 @t57 @t208))))))
120.52/120.93	; trust TRUST PREPROCESS_HO_ELIM_LEMMA
120.52/120.93	(step @p311 :rule trust :premises () :args (@t210))
120.52/120.93	(step @p312 :rule eq_resolve :premises (@p311 @p310))
120.52/120.93	(step @p313 :rule instantiate :premises (@p312) :args ((@list @t212)))
120.52/120.93	(step @p314 :rule bool-double-not-elim :args (@t213))
120.52/120.93	(step @p315 :rule refl :args (@t215))
120.52/120.93	(step @p316 :rule nary_cong :premises (@p315 @p314) :args ((or @t215 (not @t214))))
120.52/120.93	(step @p317 :rule cnf_or_neg :args (@t215 0))
120.52/120.93	(step @p318 :rule eq_resolve :premises (@p317 @p316))
120.52/120.93	(step @p319 :rule reordering :premises (@p318) :args ((or @t213 @t215)))
120.52/120.93	(step @p320 :rule chain_resolution :premises (@p319 @p313) :args (@t163 (@list @t213)))
120.52/120.93	(step @p321 :rule refl :args (@t216))
120.52/120.93	(step @p322 :rule bool-double-not-elim :args (@t211))
120.52/120.93	(step @p323 :rule nary_cong :premises (@p322 @p321) :args ((or (not @t217) @t216)))
120.52/120.93	(assume-push @p438 @t217)
120.52/120.93	(step @p325 :rule skolemize :premises (@p438))
120.52/120.93	(step-pop @p438 :rule scope :premises (@p325))
120.52/120.93	(step @p326 :rule process_scope :premises (@p438) :args (@t216))
120.52/120.93	(step @p328 :rule implies_elim :premises (@p326))
120.52/120.93	(step @p329 :rule eq_resolve :premises (@p328 @p323))
120.52/120.93	(step @p330 :rule chain_resolution :premises (@p329 @p320) :args (@t191 (@list @t215)))
120.52/120.93	(assume-push @p440 @t211)
120.52/120.93	(step @p332 :rule instantiate :premises (@p440) :args ((@list @t198)))
120.52/120.93	(step-pop @p440 :rule scope :premises (@p332))
120.52/120.93	(step @p333 :rule process_scope :premises (@p440) :args (@t219))
120.52/120.93	(step @p335 :rule implies_elim :premises (@p333))
120.52/120.93	(step @p336 :rule chain_resolution :premises (@p335 @p330) :args (@t191 (@list @t211)))
120.52/120.93	(step @p337 :rule cnf_or_pos :args (@t219))
120.52/120.93	(step @p338 :rule reordering :premises (@p337) :args ((or @t199 @t218 (not @t219))))
120.52/120.93	(step @p339 :rule cnf_or_pos :args (@t205))
120.52/120.93	(step @p340 :rule reordering :premises (@p339) :args ((or @t204 @t203 (not @t205))))
120.52/120.93	(step @p341 :rule bool-double-not-elim :args (@t160))
120.52/120.93	(step @p342 :rule nary_cong :premises (@p226 @p341) :args ((or @t162 (not @t161))))
120.52/120.93	(step @p343 :rule cnf_or_neg :args (@t162 0))
120.52/120.93	(step @p344 :rule eq_resolve :premises (@p343 @p342))
120.52/120.93	(step @p345 :rule reordering :premises (@p344) :args ((or @t160 @t162)))
120.52/120.93	(step @p346 :rule chain_resolution :premises (@p345 @p224) :args (@t163 @t164))
120.52/120.93	(step @p347 :rule refl :args (@t220))
120.52/120.93	(step @p348 :rule bool-double-not-elim :args (@t199))
120.52/120.93	(step @p349 :rule refl :args (@t161))
120.52/120.93	(step @p350 :rule nary_cong :premises (@p349 @p348 @p347) :args ((or @t161 (not @t221) @t220)))
120.52/120.93	(assume-push @p442 @t160)
120.52/120.93	(assume-push @p443 @t203)
120.52/120.93	(assume-push @p444 @t221)
120.52/120.93	(step @p354 :rule evaluate :args ((= false true)))
120.52/120.93	(step @p355 :rule true_intro :premises (@p346))
120.52/120.93	(step @p356 :rule symm :premises (@p443))
120.52/120.93	(step @p357 :rule refl :args (@t156))
120.52/120.93	(step @p358 :rule cong :premises (@p357 @p356) :args (@t199))
120.52/120.93	(step @p359 :rule false_intro :premises (@p444))
120.52/120.93	(step @p360 :rule symm :premises (@p359))
120.52/120.93	(step @p361 :rule trans :premises (@p360 @p358 @p355))
120.52/120.93	(step @p362 false :rule eq_resolve :premises (@p361 @p354))
120.52/120.93	(step-pop @p444 :rule scope :premises (@p362))
120.52/120.93	(step-pop @p445 :rule scope :premises (@p444))
120.52/120.93	(step-pop @p446 :rule scope :premises (@p445))
120.52/120.93	(step @p363 :rule process_scope :premises (@p446) :args (false))
120.52/120.93	(assume-push @p448 @t160)
120.52/120.93	(assume-push @p449 @t221)
120.52/120.93	(assume-push @p450 @t203)
120.52/120.93	(step @p370 :rule and_intro :premises (@p346 @p450 @p449))
120.52/120.93	(step-pop @p450 :rule scope :premises (@p370))
120.52/120.93	(step-pop @p451 :rule scope :premises (@p450))
120.52/120.93	(step-pop @p452 :rule scope :premises (@p451))
120.52/120.93	(step @p371 :rule process_scope :premises (@p452) :args (@t222))
120.52/120.93	(step @p375 :rule implies_elim :premises (@p371))
120.52/120.93	(step @p376 :rule resolution :premises (@p375 @p363) :args (true @t222))
120.52/120.93	(step @p377 :rule not_and :premises (@p376))
120.52/120.93	(step @p378 :rule eq_resolve :premises (@p377 @p350))
120.52/120.93	(step @p379 :rule chain_resolution :premises (@p378 @p346 @p340 @p338 @p336 @p309 @p307 @p298) :args ((@list false false true false false false false) (@list @t160 @t203 @t204 @t219 @t205 @t207 @t200)))
120.52/120.93	(step @p380 :rule factoring :premises (@p379))
120.52/120.93	(step @p381 :rule chain_resolution :premises (@p380 @p292) :args (@t163 (@list @t199)))
120.52/120.93	(step @p382 :rule factoring :premises (@p381))
120.52/120.93	(step @p383 :rule refl :args (@t223))
120.52/120.93	(step @p384 :rule bool-double-not-elim :args (@t197))
120.52/120.93	(step @p385 :rule nary_cong :premises (@p384 @p383) :args ((or (not @t224) @t223)))
120.52/120.93	(assume-push @p454 @t224)
120.52/120.93	(step @p387 :rule skolemize :premises (@p454))
120.52/120.93	(step-pop @p454 :rule scope :premises (@p387))
120.52/120.93	(step @p388 :rule process_scope :premises (@p454) :args (@t223))
120.52/120.93	(step @p390 :rule implies_elim :premises (@p388))
120.52/120.93	(step @p391 :rule eq_resolve :premises (@p390 @p385))
120.52/120.93	(step @p392 :rule chain_resolution :premises (@p391 @p382) :args (@t191 (@list @t202)))
120.52/120.93	(step @p393 :rule cnf_or_pos :args (@t228))
120.52/120.93	(step @p394 :rule reordering :premises (@p393) :args ((or @t224 @t196 @t227 (not @t228))))
120.52/120.93	(step @p395 :rule chain_resolution :premises (@p394 @p392 @p291 @p232) :args ((@list false false false) (@list @t197 @t167 @t228)))
120.52/120.93	(step @p396 :rule refl :args (@t236))
120.52/120.93	(step @p397 :rule bool-double-not-elim :args (@t226))
120.52/120.93	(step @p398 :rule nary_cong :premises (@p397 @p396) :args ((or (not @t227) @t236)))
120.52/120.93	(assume-push @p456 @t227)
120.52/120.93	(step @p400 :rule skolemize :premises (@p456))
120.52/120.93	(step-pop @p456 :rule scope :premises (@p400))
120.52/120.93	(step @p401 :rule process_scope :premises (@p456) :args (@t236))
120.52/120.93	(step @p403 :rule implies_elim :premises (@p401))
120.52/120.93	(step @p404 :rule eq_resolve :premises (@p403 @p398))
120.52/120.93	(step @p405 :rule chain_resolution :premises (@p404 @p395) :args (@t163 (@list @t226)))
120.52/120.93	(step @p406 :rule bool-double-not-elim :args (@t233))
120.52/120.93	(step @p407 :rule refl :args (@t235))
120.52/120.93	(step @p408 :rule nary_cong :premises (@p407 @p406) :args ((or @t235 (not @t234))))
120.52/120.93	(step @p409 :rule cnf_or_neg :args (@t235 0))
120.52/120.93	(step @p410 :rule eq_resolve :premises (@p409 @p408))
120.52/120.93	(step @p411 :rule reordering :premises (@p410) :args ((or @t233 @t235)))
120.52/120.93	(step @p412 :rule chain_resolution :premises (@p411 @p405) :args (@t163 @t237))
120.52/120.93	(step @p413 :rule cnf_or_neg :args (@t235 2))
120.52/120.93	(step @p414 :rule chain_resolution :premises (@p413 @p405) :args (@t163 @t237))
120.52/120.93	(step @p415 :rule bool-double-not-elim :args (@t231))
120.52/120.93	(step @p416 :rule nary_cong :premises (@p407 @p415) :args ((or @t235 (not @t232))))
120.52/120.93	(step @p417 :rule cnf_or_neg :args (@t235 1))
120.52/120.93	(step @p418 :rule eq_resolve :premises (@p417 @p416))
120.52/120.93	(step @p419 :rule reordering :premises (@p418) :args ((or @t231 @t235)))
120.52/120.93	(step @p420 :rule chain_resolution :premises (@p419 @p405) :args (@t163 @t237))
120.52/120.93	(step @p421 :rule cnf_or_pos :args (@t238))
120.52/120.93	(step @p422 :rule reordering :premises (@p421) :args ((or @t193 @t232 @t230 (not @t238))))
120.52/120.93	(step @p423 :rule chain_resolution :premises (@p422 @p272 @p420 @p414) :args ((@list false false true) (@list @t186 @t231 @t230)))
120.52/120.93	(assume-push @p458 @t233)
120.52/120.93	(step @p425 :rule instantiate :premises (@p458) :args ((@list @t57 tptp.t)))
120.52/120.93	(step-pop @p458 :rule scope :premises (@p425))
120.52/120.93	(step @p426 :rule process_scope :premises (@p458) :args (@t238))
120.52/120.93	(step @p428 :rule implies_elim :premises (@p426))
120.52/120.93	(step @p429 false :rule chain_resolution :premises (@p428 @p423 @p412) :args ((@list true false) (@list @t238 @t233)))
120.52/120.93	)
120.52/120.93	% SZS output end Proof
120.52/120.93	% cvc5 exiting
120.52/120.93	EOF