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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : NUN086+2 : TPTP v9.2.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:42:56 AM UTC 2026

% Result   : Theorem 0.38s 0.62s
% Output   : Proof 0.47s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUN086+2 : TPTP v9.2.1. Released v7.3.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.33  % Computer : n009.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit : 300
% 0.15/0.33  % WCLimit  : 300
% 0.15/0.33  % DateTime : Tue Jun  2 12:42:14 EDT 2026
% 0.15/0.34  % CPUTime  : 
% 0.30/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.38/0.62  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.38/0.62  % SZS status Theorem
% 0.38/0.62  % SZS output start Proof
% 0.38/0.62  (
% 0.38/0.62  (declare-sort $$unsorted 0)
% 0.38/0.62  (declare-const tptp.r4 (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.38/0.62  (declare-const tptp.r3 (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.38/0.62  (declare-const tptp.r2 (-> $$unsorted $$unsorted Bool))
% 0.38/0.62  (declare-const tptp.r1 (-> $$unsorted Bool))
% 0.38/0.62  (define @t1 () (@var "Y24" $$unsorted))
% 0.38/0.62  (define @t2 () (@var "X19" $$unsorted))
% 0.38/0.62  (define @t3 () (= @t2 @t1))
% 0.38/0.62  (define @t4 () (tptp.r1 @t2))
% 0.38/0.62  (define @t5 () (and @t4 @t3))
% 0.38/0.62  (define @t6 () (not @t3))
% 0.38/0.62  (define @t7 () (not @t4))
% 0.38/0.62  (define @t8 () (and @t7 @t6))
% 0.38/0.62  (define @t9 () (or @t8 @t5))
% 0.38/0.62  (define @t10 () (@list @t2))
% 0.38/0.62  (define @t11 () (forall @t10 @t9))
% 0.38/0.62  (define @t12 () (@list @t1))
% 0.38/0.62  (define @t13 () (exists @t12 @t11))
% 0.38/0.62  (define @t14 () (@var "Y21" $$unsorted))
% 0.38/0.62  (define @t15 () (@var "X12" $$unsorted))
% 0.38/0.62  (define @t16 () (= @t15 @t14))
% 0.38/0.62  (define @t17 () (@var "X11" $$unsorted))
% 0.38/0.62  (define @t18 () (tptp.r2 @t17 @t15))
% 0.38/0.62  (define @t19 () (@var "Y22" $$unsorted))
% 0.38/0.62  (define @t20 () (@var "X15" $$unsorted))
% 0.38/0.62  (define @t21 () (= @t20 @t19))
% 0.38/0.62  (define @t22 () (@var "X14" $$unsorted))
% 0.38/0.62  (define @t23 () (@var "X13" $$unsorted))
% 0.38/0.62  (define @t24 () (tptp.r3 @t23 @t22 @t20))
% 0.38/0.62  (define @t25 () (and @t24 @t21))
% 0.38/0.62  (define @t26 () (not @t21))
% 0.38/0.62  (define @t27 () (not @t24))
% 0.38/0.62  (define @t28 () (and @t27 @t26))
% 0.38/0.62  (define @t29 () (or @t28 @t25))
% 0.38/0.62  (define @t30 () (@list @t20))
% 0.38/0.62  (define @t31 () (forall @t30 @t29))
% 0.38/0.62  (define @t32 () (@list @t19))
% 0.38/0.62  (define @t33 () (exists @t32 @t31))
% 0.38/0.62  (define @t34 () (forall (@list @t23 @t22) @t33))
% 0.38/0.62  (define @t35 () (@var "Y23" $$unsorted))
% 0.38/0.62  (define @t36 () (@var "X18" $$unsorted))
% 0.38/0.62  (define @t37 () (= @t36 @t35))
% 0.38/0.62  (define @t38 () (@var "X17" $$unsorted))
% 0.38/0.62  (define @t39 () (@var "X16" $$unsorted))
% 0.38/0.62  (define @t40 () (tptp.r4 @t39 @t38 @t36))
% 0.38/0.62  (define @t41 () (and @t40 @t37))
% 0.38/0.62  (define @t42 () (not @t37))
% 0.38/0.62  (define @t43 () (not @t40))
% 0.38/0.62  (define @t44 () (and @t43 @t42))
% 0.38/0.62  (define @t45 () (or @t44 @t41))
% 0.38/0.62  (define @t46 () (@list @t36))
% 0.38/0.62  (define @t47 () (forall @t46 @t45))
% 0.38/0.62  (define @t48 () (@list @t35))
% 0.38/0.62  (define @t49 () (exists @t48 @t47))
% 0.38/0.62  (define @t50 () (forall (@list @t39 @t38) @t49))
% 0.38/0.62  (define @t51 () (@var "Y7" $$unsorted))
% 0.38/0.62  (define @t52 () (@var "X8" $$unsorted))
% 0.38/0.62  (define @t53 () (@var "X1" $$unsorted))
% 0.38/0.62  (define @t54 () (@var "Y4" $$unsorted))
% 0.38/0.62  (define @t55 () (@var "Y5" $$unsorted))
% 0.38/0.62  (define @t56 () (@var "Y15" $$unsorted))
% 0.38/0.62  (define @t57 () (@list @t55))
% 0.38/0.62  (define @t58 () (@list @t54))
% 0.38/0.62  (define @t59 () (@var "Y6" $$unsorted))
% 0.38/0.62  (define @t60 () (@var "X9" $$unsorted))
% 0.38/0.62  (define @t61 () (@var "X2" $$unsorted))
% 0.38/0.62  (define @t62 () (tptp.r4 @t61 @t60 @t59))
% 0.38/0.62  (define @t63 () (@var "Y2" $$unsorted))
% 0.38/0.62  (define @t64 () (tptp.r3 @t59 @t61 @t63))
% 0.38/0.62  (define @t65 () (and @t64 @t62))
% 0.38/0.62  (define @t66 () (@list @t59))
% 0.38/0.62  (define @t67 () (exists @t66 @t65))
% 0.38/0.62  (define @t68 () (@var "Y3" $$unsorted))
% 0.38/0.62  (define @t69 () (= @t68 @t63))
% 0.38/0.62  (define @t70 () (@var "Y14" $$unsorted))
% 0.38/0.62  (define @t71 () (tptp.r4 @t61 @t70 @t68))
% 0.38/0.62  (define @t72 () (tptp.r2 @t60 @t70))
% 0.38/0.62  (define @t73 () (and @t72 @t71))
% 0.38/0.62  (define @t74 () (@list @t70))
% 0.38/0.62  (define @t75 () (exists @t74 @t73))
% 0.38/0.62  (define @t76 () (and @t75 @t69))
% 0.38/0.62  (define @t77 () (@list @t68))
% 0.38/0.62  (define @t78 () (exists @t77 @t76))
% 0.38/0.62  (define @t79 () (and @t78 @t67))
% 0.38/0.62  (define @t80 () (@list @t63))
% 0.38/0.62  (define @t81 () (exists @t80 @t79))
% 0.38/0.62  (define @t82 () (forall (@list @t61 @t60) @t81))
% 0.38/0.62  (define @t83 () (@var "X10" $$unsorted))
% 0.38/0.62  (define @t84 () (@var "X3" $$unsorted))
% 0.38/0.62  (define @t85 () (@var "Y12" $$unsorted))
% 0.38/0.62  (define @t86 () (@var "Y13" $$unsorted))
% 0.38/0.62  (define @t87 () (@var "X4" $$unsorted))
% 0.38/0.62  (define @t88 () (@var "Y9" $$unsorted))
% 0.38/0.62  (define @t89 () (= @t88 @t87))
% 0.38/0.62  (define @t90 () (@var "Y16" $$unsorted))
% 0.38/0.62  (define @t91 () (tptp.r3 @t87 @t90 @t88))
% 0.38/0.62  (define @t92 () (tptp.r1 @t90))
% 0.38/0.62  (define @t93 () (and @t92 @t91))
% 0.38/0.62  (define @t94 () (@list @t90))
% 0.38/0.62  (define @t95 () (exists @t94 @t93))
% 0.38/0.62  (define @t96 () (and @t95 @t89))
% 0.38/0.62  (define @t97 () (@list @t88))
% 0.38/0.62  (define @t98 () (exists @t97 @t96))
% 0.38/0.62  (define @t99 () (forall (@list @t87) @t98))
% 0.38/0.62  (define @t100 () (@var "Y18" $$unsorted))
% 0.38/0.62  (define @t101 () (@var "Y8" $$unsorted))
% 0.38/0.62  (define @t102 () (= @t101 @t100))
% 0.38/0.62  (define @t103 () (tptp.r1 @t100))
% 0.38/0.62  (define @t104 () (and @t103 @t102))
% 0.38/0.62  (define @t105 () (@list @t100))
% 0.38/0.62  (define @t106 () (exists @t105 @t104))
% 0.38/0.62  (define @t107 () (@var "Y17" $$unsorted))
% 0.38/0.62  (define @t108 () (@var "X5" $$unsorted))
% 0.38/0.62  (define @t109 () (tptp.r4 @t108 @t107 @t101))
% 0.38/0.62  (define @t110 () (tptp.r1 @t107))
% 0.38/0.62  (define @t111 () (and @t110 @t109))
% 0.38/0.62  (define @t112 () (@list @t107))
% 0.38/0.62  (define @t113 () (exists @t112 @t111))
% 0.38/0.62  (define @t114 () (and @t113 @t106))
% 0.38/0.62  (define @t115 () (@list @t101))
% 0.38/0.62  (define @t116 () (exists @t115 @t114))
% 0.38/0.62  (define @t117 () (forall (@list @t108) @t116))
% 0.38/0.62  (define @t118 () (@var "Y11" $$unsorted))
% 0.38/0.62  (define @t119 () (@var "X6" $$unsorted))
% 0.38/0.62  (define @t120 () (@var "Y1" $$unsorted))
% 0.38/0.62  (define @t121 () (@var "Y19" $$unsorted))
% 0.38/0.62  (define @t122 () (@var "Y10" $$unsorted))
% 0.38/0.62  (define @t123 () (@var "X7" $$unsorted))
% 0.38/0.62  (define @t124 () (@var "Y20" $$unsorted))
% 0.38/0.62  (define @t125 () (tptp.r1 @t55))
% 0.38/0.62  (define @t126 () (and @t125 (= @t120 @t55)))
% 0.38/0.62  (define @t127 () (exists @t57 @t126))
% 0.38/0.62  (define @t128 () (tptp.r4 @t54 @t63 @t120))
% 0.38/0.62  (define @t129 () (tptp.r1 @t54))
% 0.38/0.62  (define @t130 () (and @t129 @t128))
% 0.38/0.62  (define @t131 () (exists @t58 @t130))
% 0.38/0.62  (define @t132 () (tptp.r2 @t68 @t63))
% 0.38/0.62  (define @t133 () (tptp.r1 @t68))
% 0.38/0.62  (define @t134 () (and @t133 @t132))
% 0.38/0.62  (define @t135 () (exists @t77 @t134))
% 0.38/0.62  (define @t136 () (and @t135 @t131))
% 0.38/0.62  (define @t137 () (exists @t80 @t136))
% 0.38/0.62  (define @t138 () (and @t137 @t127))
% 0.38/0.62  (define @t139 () (@list @t120))
% 0.38/0.62  (define @t140 () (exists @t139 @t138))
% 0.38/0.62  (define @t141 () (not @t140))
% 0.38/0.62  (define @t142 () (@var "BOUND_VARIABLE_7640" $$unsorted))
% 0.38/0.62  (define @t143 () (tptp.r1 @t142))
% 0.38/0.62  (define @t144 () (not @t143))
% 0.38/0.62  (define @t145 () (@list @t142))
% 0.38/0.62  (define @t146 () (forall @t145 (or @t144 (and @t143 (= @t1 @t142)))))
% 0.38/0.62  (define @t147 () (tptp.r1 @t1))
% 0.38/0.62  (define @t148 () (and @t146 @t147))
% 0.38/0.62  (define @t149 () (forall @t12 (not @t148)))
% 0.38/0.62  (define @t150 () (not @t149))
% 0.38/0.62  (define @t151 () (= @t1 @t1))
% 0.38/0.62  (define @t152 () (and @t147 @t151))
% 0.38/0.62  (define @t153 () (not @t151))
% 0.38/0.62  (define @t154 () (or @t153 @t152))
% 0.38/0.62  (define @t155 () (@var "BOUND_VARIABLE_7649" $$unsorted))
% 0.38/0.62  (define @t156 () (= @t1 @t155))
% 0.38/0.62  (define @t157 () (and (tptp.r1 @t155) @t156))
% 0.38/0.62  (define @t158 () (not @t156))
% 0.38/0.62  (define @t159 () (@list @t155))
% 0.38/0.62  (define @t160 () (or @t158 @t158 @t157))
% 0.38/0.62  (define @t161 () (or @t158 @t157))
% 0.38/0.62  (define @t162 () (forall @t159 @t161))
% 0.38/0.62  (define @t163 () (= @t1 @t2))
% 0.38/0.62  (define @t164 () (and @t4 @t163))
% 0.38/0.62  (define @t165 () (not @t163))
% 0.38/0.62  (define @t166 () (or @t165 @t164))
% 0.38/0.62  (define @t167 () (forall @t10 @t166))
% 0.38/0.62  (define @t168 () (@list @t2))
% 0.38/0.62  (define @t169 () (or @t7 @t164))
% 0.38/0.62  (define @t170 () (forall @t10 @t169))
% 0.38/0.62  (define @t171 () (and @t170 @t167))
% 0.38/0.62  (define @t172 () (forall @t12 (or (not @t146) (not @t147))))
% 0.38/0.62  (define @t173 () (@quantifiers_skolemize @t172 0))
% 0.38/0.62  (define @t174 () (tptp.r1 @t173))
% 0.38/0.62  (define @t175 () (not @t174))
% 0.38/0.62  (define @t176 () (forall @t145 (or @t144 (and @t143 (= @t142 @t173)))))
% 0.38/0.62  (define @t177 () (not @t176))
% 0.38/0.62  (define @t178 () (or @t177 @t175))
% 0.38/0.62  (define @t179 () (not @t178))
% 0.38/0.62  (define @t180 () (not @t172))
% 0.38/0.62  (define @t181 () (and @t143 (= @t173 @t142)))
% 0.38/0.62  (define @t182 () (or @t144 @t181))
% 0.38/0.62  (define @t183 () (forall @t145 @t182))
% 0.38/0.62  (define @t184 () (not @t183))
% 0.38/0.62  (define @t185 () (or @t184 @t175))
% 0.38/0.62  (define @t186 () (not @t185))
% 0.38/0.62  (define @t187 () (@list true))
% 0.38/0.62  (define @t188 () (@list @t178))
% 0.38/0.62  (define @t189 () (@var "BOUND_VARIABLE_7735" $$unsorted))
% 0.38/0.62  (define @t190 () (= @t19 @t189))
% 0.38/0.62  (define @t191 () (tptp.r3 @t23 @t22 @t189))
% 0.38/0.62  (define @t192 () (@list @t189))
% 0.38/0.62  (define @t193 () (forall @t192 (or (not @t191) (and @t191 @t190))))
% 0.38/0.62  (define @t194 () (tptp.r3 @t23 @t22 @t19))
% 0.38/0.62  (define @t195 () (and @t193 @t194))
% 0.38/0.62  (define @t196 () (forall @t32 (not @t195)))
% 0.38/0.62  (define @t197 () (not @t196))
% 0.38/0.62  (define @t198 () (= @t19 @t19))
% 0.38/0.62  (define @t199 () (and @t194 @t198))
% 0.38/0.62  (define @t200 () (not @t198))
% 0.38/0.62  (define @t201 () (or @t200 @t199))
% 0.38/0.62  (define @t202 () (@var "BOUND_VARIABLE_7744" $$unsorted))
% 0.38/0.62  (define @t203 () (= @t19 @t202))
% 0.38/0.62  (define @t204 () (and (tptp.r3 @t23 @t22 @t202) @t203))
% 0.38/0.62  (define @t205 () (not @t203))
% 0.38/0.62  (define @t206 () (@list @t202))
% 0.38/0.62  (define @t207 () (or @t205 @t205 @t204))
% 0.38/0.62  (define @t208 () (or @t205 @t204))
% 0.38/0.62  (define @t209 () (forall @t206 @t208))
% 0.38/0.62  (define @t210 () (= @t19 @t20))
% 0.38/0.62  (define @t211 () (and @t24 @t210))
% 0.38/0.62  (define @t212 () (not @t210))
% 0.38/0.62  (define @t213 () (or @t212 @t211))
% 0.38/0.62  (define @t214 () (forall @t30 @t213))
% 0.38/0.62  (define @t215 () (@list @t20))
% 0.38/0.62  (define @t216 () (or @t27 @t211))
% 0.38/0.62  (define @t217 () (forall @t30 @t216))
% 0.38/0.62  (define @t218 () (and @t217 @t214))
% 0.38/0.62  (define @t219 () (@list @t173 @t173))
% 0.38/0.62  (define @t220 () (tptp.r3 @t173 @t173 @t189))
% 0.38/0.62  (define @t221 () (not @t220))
% 0.38/0.62  (define @t222 () (forall @t32 (or (not (forall @t192 (or @t221 (and @t220 @t190)))) (not (tptp.r3 @t173 @t173 @t19)))))
% 0.38/0.62  (define @t223 () (@quantifiers_skolemize @t222 0))
% 0.38/0.62  (define @t224 () (not (tptp.r3 @t173 @t173 @t223)))
% 0.38/0.62  (define @t225 () (forall @t192 (or @t221 (and @t220 (= @t189 @t223)))))
% 0.38/0.62  (define @t226 () (not @t225))
% 0.38/0.62  (define @t227 () (or @t226 @t224))
% 0.38/0.62  (define @t228 () (not @t227))
% 0.38/0.62  (define @t229 () (not @t222))
% 0.38/0.62  (define @t230 () (and @t220 (= @t223 @t189)))
% 0.38/0.62  (define @t231 () (or @t221 @t230))
% 0.38/0.62  (define @t232 () (forall @t192 @t231))
% 0.38/0.62  (define @t233 () (not @t232))
% 0.38/0.62  (define @t234 () (or @t233 @t224))
% 0.38/0.62  (define @t235 () (not @t234))
% 0.38/0.62  (define @t236 () (@list @t173))
% 0.38/0.62  (define @t237 () (@var "BOUND_VARIABLE_8019" $$unsorted))
% 0.38/0.62  (define @t238 () (not (tptp.r3 @t87 @t237 @t87)))
% 0.38/0.62  (define @t239 () (not (tptp.r1 @t237)))
% 0.38/0.62  (define @t240 () (not (= @t87 @t87)))
% 0.38/0.62  (define @t241 () (or @t240 @t239 @t238))
% 0.38/0.62  (define @t242 () (@list @t237))
% 0.38/0.62  (define @t243 () (not (tptp.r3 @t87 @t237 @t88)))
% 0.38/0.62  (define @t244 () (= @t87 @t88))
% 0.38/0.62  (define @t245 () (not @t244))
% 0.38/0.62  (define @t246 () (or @t245 @t245 @t239 @t243))
% 0.38/0.62  (define @t247 () (or @t245 @t239 @t243))
% 0.38/0.62  (define @t248 () (forall @t97 @t247))
% 0.38/0.62  (define @t249 () (forall @t242 @t248))
% 0.38/0.62  (define @t250 () (forall (@list @t237 @t88) @t247))
% 0.38/0.62  (define @t251 () (@list @t88 @t237))
% 0.38/0.62  (define @t252 () (or @t239 @t243))
% 0.38/0.62  (define @t253 () (or @t252 @t245))
% 0.38/0.62  (define @t254 () (forall @t251 @t253))
% 0.38/0.62  (define @t255 () (forall @t242 @t253))
% 0.38/0.62  (define @t256 () (forall @t242 @t252))
% 0.38/0.62  (define @t257 () (or @t256 @t245))
% 0.38/0.62  (define @t258 () (forall @t94 (or (not @t92) (not @t91))))
% 0.38/0.62  (define @t259 () (not @t258))
% 0.38/0.62  (define @t260 () (and @t259 @t244))
% 0.38/0.62  (define @t261 () (forall @t97 (not @t260)))
% 0.38/0.62  (define @t262 () (not @t261))
% 0.38/0.62  (define @t263 () (forall @t94 (not @t93)))
% 0.38/0.62  (define @t264 () (not @t263))
% 0.38/0.62  (define @t265 () (@quantifiers_skolemize (forall @t242 (or @t239 (not (tptp.r3 @t173 @t237 @t173)))) 0))
% 0.38/0.62  (define @t266 () (tptp.r3 @t173 @t265 @t173))
% 0.38/0.62  (define @t267 () (not @t266))
% 0.38/0.62  (define @t268 () (tptp.r1 @t265))
% 0.38/0.62  (define @t269 () (not @t268))
% 0.38/0.62  (define @t270 () (or @t269 @t267))
% 0.38/0.62  (define @t271 () (@list @t270))
% 0.38/0.62  (define @t272 () (and @t268 (= @t265 @t173)))
% 0.38/0.62  (define @t273 () (or @t269 @t272))
% 0.38/0.62  (define @t274 () (= @t173 @t265))
% 0.38/0.62  (define @t275 () (and @t268 @t274))
% 0.38/0.62  (define @t276 () (or @t269 @t275))
% 0.38/0.62  (define @t277 () (@list false))
% 0.38/0.62  (define @t278 () (@list @t176))
% 0.38/0.62  (define @t279 () (@list false false))
% 0.38/0.62  (define @t280 () (tptp.r3 @t173 @t173 @t173))
% 0.38/0.62  (define @t281 () (= @t173 @t223))
% 0.38/0.62  (define @t282 () (and @t280 @t281))
% 0.38/0.62  (define @t283 () (not @t280))
% 0.38/0.62  (define @t284 () (or @t283 @t282))
% 0.38/0.62  (define @t285 () (@var "BOUND_VARIABLE_7960" $$unsorted))
% 0.38/0.62  (define @t286 () (@var "BOUND_VARIABLE_7953" $$unsorted))
% 0.38/0.62  (define @t287 () (@list @t63 @t286 @t285))
% 0.38/0.62  (define @t288 () (forall @t287 (or (not (tptp.r2 @t173 @t286)) (not (tptp.r4 @t173 @t286 @t63)) (not (tptp.r3 @t285 @t173 @t63)) (not (tptp.r4 @t173 @t173 @t285)))))
% 0.38/0.62  (define @t289 () (@quantifiers_skolemize @t288 0))
% 0.38/0.62  (define @t290 () (tptp.r3 @t173 @t173 @t289))
% 0.38/0.62  (define @t291 () (and @t290 (= @t289 @t223)))
% 0.38/0.62  (define @t292 () (not @t290))
% 0.38/0.62  (define @t293 () (or @t292 @t291))
% 0.38/0.62  (define @t294 () (= @t223 @t289))
% 0.38/0.62  (define @t295 () (and @t290 @t294))
% 0.38/0.62  (define @t296 () (or @t292 @t295))
% 0.38/0.62  (define @t297 () (not (tptp.r4 @t61 @t60 @t285)))
% 0.38/0.62  (define @t298 () (not (tptp.r3 @t285 @t61 @t63)))
% 0.38/0.62  (define @t299 () (not (tptp.r4 @t61 @t286 @t63)))
% 0.38/0.62  (define @t300 () (not (tptp.r2 @t60 @t286)))
% 0.38/0.62  (define @t301 () (or @t298 @t297))
% 0.38/0.62  (define @t302 () (or @t300 @t299))
% 0.38/0.62  (define @t303 () (or @t302 @t301))
% 0.38/0.62  (define @t304 () (forall @t287 @t303))
% 0.38/0.62  (define @t305 () (forall (@list @t286 @t285) @t303))
% 0.38/0.62  (define @t306 () (forall (@list @t285) @t301))
% 0.38/0.62  (define @t307 () (forall (@list @t286) @t302))
% 0.38/0.62  (define @t308 () (@var "BOUND_VARIABLE_7915" $$unsorted))
% 0.38/0.62  (define @t309 () (@list @t308))
% 0.38/0.62  (define @t310 () (or @t307 @t306))
% 0.38/0.62  (define @t311 () (forall @t66 (or (not @t64) (not @t62))))
% 0.38/0.62  (define @t312 () (not (tptp.r4 @t61 @t308 @t63)))
% 0.38/0.62  (define @t313 () (not (tptp.r2 @t60 @t308)))
% 0.38/0.62  (define @t314 () (or @t313 @t312))
% 0.38/0.62  (define @t315 () (@list @t308))
% 0.38/0.62  (define @t316 () (forall @t315 @t314))
% 0.38/0.62  (define @t317 () (not @t311))
% 0.38/0.62  (define @t318 () (not @t316))
% 0.38/0.62  (define @t319 () (and @t318 @t317))
% 0.38/0.62  (define @t320 () (forall @t80 (not @t319)))
% 0.38/0.62  (define @t321 () (not @t320))
% 0.38/0.62  (define @t322 () (forall @t66 (not @t65)))
% 0.38/0.62  (define @t323 () (not @t322))
% 0.38/0.62  (define @t324 () (not (= @t63 @t63)))
% 0.38/0.62  (define @t325 () (or @t324 @t313 @t312))
% 0.38/0.62  (define @t326 () (not (tptp.r4 @t61 @t308 @t68)))
% 0.38/0.62  (define @t327 () (= @t63 @t68))
% 0.38/0.62  (define @t328 () (not @t327))
% 0.38/0.62  (define @t329 () (or @t328 @t328 @t313 @t326))
% 0.38/0.62  (define @t330 () (or @t328 @t313 @t326))
% 0.38/0.62  (define @t331 () (forall @t77 @t330))
% 0.38/0.62  (define @t332 () (forall @t315 @t331))
% 0.38/0.62  (define @t333 () (forall (@list @t308 @t68) @t330))
% 0.38/0.62  (define @t334 () (@list @t68 @t308))
% 0.38/0.62  (define @t335 () (or @t313 @t326))
% 0.38/0.62  (define @t336 () (or @t335 @t328))
% 0.38/0.62  (define @t337 () (forall @t334 @t336))
% 0.38/0.62  (define @t338 () (forall @t315 @t336))
% 0.38/0.62  (define @t339 () (forall @t315 @t335))
% 0.38/0.62  (define @t340 () (or @t339 @t328))
% 0.38/0.62  (define @t341 () (forall @t74 (or (not @t72) (not @t71))))
% 0.38/0.62  (define @t342 () (not @t341))
% 0.38/0.62  (define @t343 () (and @t342 @t327))
% 0.38/0.62  (define @t344 () (forall @t77 (not @t343)))
% 0.38/0.62  (define @t345 () (not @t344))
% 0.38/0.62  (define @t346 () (forall @t74 (not @t73)))
% 0.38/0.62  (define @t347 () (not @t346))
% 0.38/0.62  (define @t348 () (@quantifiers_skolemize @t288 2))
% 0.38/0.62  (define @t349 () (tptp.r3 @t348 @t173 @t289))
% 0.38/0.62  (define @t350 () (tptp.r4 @t173 @t173 @t348))
% 0.38/0.62  (define @t351 () (not @t350))
% 0.38/0.62  (define @t352 () (not @t349))
% 0.38/0.62  (define @t353 () (@quantifiers_skolemize @t288 1))
% 0.38/0.62  (define @t354 () (tptp.r4 @t173 @t353 @t289))
% 0.38/0.62  (define @t355 () (not @t354))
% 0.38/0.62  (define @t356 () (tptp.r2 @t173 @t353))
% 0.38/0.62  (define @t357 () (not @t356))
% 0.38/0.62  (define @t358 () (or @t357 @t355 @t352 @t351))
% 0.38/0.62  (define @t359 () (@list @t358))
% 0.38/0.62  (define @t360 () (@var "BOUND_VARIABLE_7783" $$unsorted))
% 0.38/0.62  (define @t361 () (= @t35 @t360))
% 0.38/0.62  (define @t362 () (tptp.r4 @t39 @t38 @t360))
% 0.38/0.62  (define @t363 () (@list @t360))
% 0.38/0.62  (define @t364 () (forall @t363 (or (not @t362) (and @t362 @t361))))
% 0.38/0.62  (define @t365 () (tptp.r4 @t39 @t38 @t35))
% 0.38/0.62  (define @t366 () (and @t364 @t365))
% 0.38/0.62  (define @t367 () (forall @t48 (not @t366)))
% 0.38/0.62  (define @t368 () (not @t367))
% 0.38/0.62  (define @t369 () (= @t35 @t35))
% 0.38/0.62  (define @t370 () (and @t365 @t369))
% 0.38/0.62  (define @t371 () (not @t369))
% 0.38/0.62  (define @t372 () (or @t371 @t370))
% 0.38/0.62  (define @t373 () (@var "BOUND_VARIABLE_7792" $$unsorted))
% 0.38/0.62  (define @t374 () (= @t35 @t373))
% 0.38/0.62  (define @t375 () (and (tptp.r4 @t39 @t38 @t373) @t374))
% 0.38/0.62  (define @t376 () (not @t374))
% 0.38/0.62  (define @t377 () (@list @t373))
% 0.38/0.62  (define @t378 () (or @t376 @t376 @t375))
% 0.38/0.62  (define @t379 () (or @t376 @t375))
% 0.38/0.62  (define @t380 () (forall @t377 @t379))
% 0.38/0.62  (define @t381 () (= @t35 @t36))
% 0.38/0.62  (define @t382 () (and @t40 @t381))
% 0.38/0.62  (define @t383 () (not @t381))
% 0.38/0.62  (define @t384 () (or @t383 @t382))
% 0.38/0.62  (define @t385 () (forall @t46 @t384))
% 0.38/0.62  (define @t386 () (@list @t36))
% 0.38/0.62  (define @t387 () (or @t43 @t382))
% 0.38/0.62  (define @t388 () (forall @t46 @t387))
% 0.38/0.62  (define @t389 () (and @t388 @t385))
% 0.38/0.62  (define @t390 () (tptp.r4 @t173 @t173 @t360))
% 0.38/0.62  (define @t391 () (not @t390))
% 0.38/0.62  (define @t392 () (forall @t48 (or (not (forall @t363 (or @t391 (and @t390 @t361)))) (not (tptp.r4 @t173 @t173 @t35)))))
% 0.38/0.62  (define @t393 () (@quantifiers_skolemize @t392 0))
% 0.38/0.62  (define @t394 () (not (tptp.r4 @t173 @t173 @t393)))
% 0.38/0.62  (define @t395 () (forall @t363 (or @t391 (and @t390 (= @t360 @t393)))))
% 0.38/0.62  (define @t396 () (not @t395))
% 0.38/0.62  (define @t397 () (or @t396 @t394))
% 0.38/0.62  (define @t398 () (not @t397))
% 0.38/0.62  (define @t399 () (not @t392))
% 0.38/0.62  (define @t400 () (and @t390 (= @t393 @t360)))
% 0.38/0.62  (define @t401 () (or @t391 @t400))
% 0.38/0.62  (define @t402 () (forall @t363 @t401))
% 0.38/0.62  (define @t403 () (not @t402))
% 0.38/0.62  (define @t404 () (or @t403 @t394))
% 0.38/0.62  (define @t405 () (not @t404))
% 0.38/0.62  (define @t406 () (and @t350 (= @t348 @t393)))
% 0.38/0.62  (define @t407 () (or @t351 @t406))
% 0.38/0.62  (define @t408 () (= @t393 @t348))
% 0.38/0.62  (define @t409 () (and @t350 @t408))
% 0.38/0.62  (define @t410 () (or @t351 @t409))
% 0.38/0.62  (define @t411 () (@var "BOUND_VARIABLE_8073" $$unsorted))
% 0.38/0.62  (define @t412 () (not (tptp.r4 @t108 @t411 @t101)))
% 0.38/0.62  (define @t413 () (not (tptp.r1 @t411)))
% 0.38/0.62  (define @t414 () (tptp.r1 @t101))
% 0.38/0.62  (define @t415 () (not @t414))
% 0.38/0.62  (define @t416 () (or @t413 @t412))
% 0.38/0.62  (define @t417 () (or @t416 @t415))
% 0.38/0.62  (define @t418 () (@list @t101 @t411))
% 0.38/0.62  (define @t419 () (forall @t418 @t417))
% 0.38/0.62  (define @t420 () (@list @t411))
% 0.38/0.62  (define @t421 () (forall @t420 @t417))
% 0.38/0.62  (define @t422 () (forall @t420 @t416))
% 0.38/0.62  (define @t423 () (or @t422 @t415))
% 0.38/0.62  (define @t424 () (forall @t112 (or (not @t110) (not @t109))))
% 0.38/0.62  (define @t425 () (not @t424))
% 0.38/0.62  (define @t426 () (and @t425 @t414))
% 0.38/0.62  (define @t427 () (forall @t115 (not @t426)))
% 0.38/0.62  (define @t428 () (not @t427))
% 0.38/0.62  (define @t429 () (not (= @t101 @t101)))
% 0.38/0.62  (define @t430 () (or @t415 @t429))
% 0.38/0.62  (define @t431 () (not @t102))
% 0.38/0.62  (define @t432 () (not @t103))
% 0.38/0.62  (define @t433 () (or @t431 @t432 @t431))
% 0.38/0.62  (define @t434 () (or @t432 @t431))
% 0.38/0.62  (define @t435 () (forall @t105 (not @t104)))
% 0.38/0.62  (define @t436 () (not @t435))
% 0.38/0.62  (define @t437 () (forall @t112 (not @t111)))
% 0.38/0.62  (define @t438 () (not @t437))
% 0.38/0.62  (define @t439 () (forall @t418 (or @t415 @t413 (not (tptp.r4 @t173 @t411 @t101)))))
% 0.38/0.62  (define @t440 () (@quantifiers_skolemize @t439 0))
% 0.38/0.62  (define @t441 () (@quantifiers_skolemize @t439 1))
% 0.38/0.62  (define @t442 () (tptp.r4 @t173 @t441 @t440))
% 0.38/0.62  (define @t443 () (not @t442))
% 0.38/0.62  (define @t444 () (tptp.r1 @t441))
% 0.38/0.62  (define @t445 () (not @t444))
% 0.38/0.62  (define @t446 () (tptp.r1 @t440))
% 0.38/0.62  (define @t447 () (not @t446))
% 0.38/0.62  (define @t448 () (or @t447 @t445 @t443))
% 0.38/0.62  (define @t449 () (@list @t448))
% 0.38/0.62  (define @t450 () (and @t446 (= @t440 @t173)))
% 0.38/0.62  (define @t451 () (or @t447 @t450))
% 0.38/0.62  (define @t452 () (= @t173 @t440))
% 0.38/0.62  (define @t453 () (and @t446 @t452))
% 0.38/0.62  (define @t454 () (or @t447 @t453))
% 0.38/0.62  (define @t455 () (and @t444 (= @t441 @t173)))
% 0.38/0.62  (define @t456 () (or @t445 @t455))
% 0.38/0.62  (define @t457 () (= @t173 @t441))
% 0.38/0.62  (define @t458 () (and @t444 @t457))
% 0.38/0.62  (define @t459 () (or @t445 @t458))
% 0.38/0.62  (define @t460 () (tptp.r4 @t173 @t173 @t173))
% 0.38/0.62  (define @t461 () (= @t173 @t393))
% 0.38/0.62  (define @t462 () (and @t460 @t461))
% 0.38/0.62  (define @t463 () (not @t460))
% 0.38/0.62  (define @t464 () (or @t463 @t462))
% 0.38/0.62  (define @t465 () (tptp.r1 @t289))
% 0.38/0.62  (define @t466 () (@var "BOUND_VARIABLE_8199" $$unsorted))
% 0.38/0.62  (define @t467 () (@var "BOUND_VARIABLE_8203" $$unsorted))
% 0.38/0.62  (define @t468 () (not (tptp.r4 @t467 @t466 @t120)))
% 0.38/0.62  (define @t469 () (not (tptp.r1 @t467)))
% 0.38/0.62  (define @t470 () (@var "BOUND_VARIABLE_8201" $$unsorted))
% 0.38/0.62  (define @t471 () (not (tptp.r2 @t470 @t466)))
% 0.38/0.62  (define @t472 () (not (tptp.r1 @t470)))
% 0.38/0.62  (define @t473 () (tptp.r1 @t120))
% 0.38/0.62  (define @t474 () (not @t473))
% 0.38/0.62  (define @t475 () (or @t474 @t472 @t471 @t469 @t468))
% 0.38/0.62  (define @t476 () (@list @t120 @t466 @t470 @t467))
% 0.38/0.62  (define @t477 () (or @t472 @t471 @t469 @t468))
% 0.38/0.62  (define @t478 () (or @t477 @t474))
% 0.38/0.62  (define @t479 () (forall @t476 @t478))
% 0.38/0.62  (define @t480 () (@list @t466 @t470 @t467))
% 0.38/0.62  (define @t481 () (forall @t480 @t478))
% 0.38/0.62  (define @t482 () (forall @t480 @t477))
% 0.38/0.62  (define @t483 () (@var "BOUND_VARIABLE_8162" $$unsorted))
% 0.38/0.62  (define @t484 () (@var "BOUND_VARIABLE_8155" $$unsorted))
% 0.38/0.62  (define @t485 () (or @t482 @t474))
% 0.38/0.62  (define @t486 () (not (tptp.r4 @t483 @t63 @t120)))
% 0.38/0.62  (define @t487 () (not (tptp.r1 @t483)))
% 0.38/0.62  (define @t488 () (not (tptp.r2 @t484 @t63)))
% 0.38/0.62  (define @t489 () (not (tptp.r1 @t484)))
% 0.38/0.62  (define @t490 () (or @t489 @t488 @t487 @t486))
% 0.38/0.62  (define @t491 () (@list @t63 @t484 @t483))
% 0.38/0.62  (define @t492 () (forall @t491 @t490))
% 0.38/0.62  (define @t493 () (not @t492))
% 0.38/0.62  (define @t494 () (and @t493 @t473))
% 0.38/0.62  (define @t495 () (forall @t139 (not @t494)))
% 0.38/0.62  (define @t496 () (not @t495))
% 0.38/0.62  (define @t497 () (not (= @t120 @t120)))
% 0.38/0.62  (define @t498 () (or @t474 @t497))
% 0.38/0.62  (define @t499 () (= @t55 @t120))
% 0.38/0.62  (define @t500 () (not @t499))
% 0.38/0.62  (define @t501 () (not @t125))
% 0.38/0.62  (define @t502 () (or @t500 @t501 @t500))
% 0.38/0.62  (define @t503 () (or @t501 @t500))
% 0.38/0.62  (define @t504 () (and @t125 @t499))
% 0.38/0.62  (define @t505 () (forall @t57 (not @t504)))
% 0.38/0.62  (define @t506 () (not @t505))
% 0.38/0.62  (define @t507 () (or @t487 @t486))
% 0.38/0.62  (define @t508 () (or @t489 @t488))
% 0.38/0.62  (define @t509 () (or @t508 @t507))
% 0.38/0.62  (define @t510 () (forall @t491 @t509))
% 0.38/0.62  (define @t511 () (forall (@list @t484 @t483) @t509))
% 0.38/0.62  (define @t512 () (forall (@list @t483) @t507))
% 0.38/0.62  (define @t513 () (forall (@list @t484) @t508))
% 0.38/0.62  (define @t514 () (or @t513 @t512))
% 0.38/0.62  (define @t515 () (forall @t58 (or (not @t129) (not @t128))))
% 0.38/0.62  (define @t516 () (forall @t77 (or (not @t133) (not @t132))))
% 0.38/0.62  (define @t517 () (not @t515))
% 0.38/0.62  (define @t518 () (not @t516))
% 0.38/0.62  (define @t519 () (and @t518 @t517))
% 0.38/0.62  (define @t520 () (forall @t80 (not @t519)))
% 0.38/0.62  (define @t521 () (not @t520))
% 0.38/0.62  (define @t522 () (forall @t58 (not @t130)))
% 0.38/0.62  (define @t523 () (not @t522))
% 0.38/0.62  (define @t524 () (forall @t77 (not @t134)))
% 0.38/0.62  (define @t525 () (not @t524))
% 0.38/0.62  (define @t526 () (not @t465))
% 0.38/0.62  (define @t527 () (or @t526 @t175 @t357 @t175 @t355))
% 0.38/0.62  (assume @p1 @t13)
% 0.38/0.62  (assume @p2 (forall (@list @t17) (exists (@list @t14) (forall (@list @t15) (or (and (not @t18) (not @t16)) (and @t18 @t16))))))
% 0.38/0.62  (assume @p3 @t34)
% 0.38/0.62  (assume @p4 @t50)
% 0.38/0.62  (assume @p5 (forall (@list @t53 @t52) (exists @t58 (and (exists @t57 (and (exists (@list @t56) (and (tptp.r2 @t52 @t56) (tptp.r3 @t53 @t56 @t55))) (= @t55 @t54))) (exists (@list @t51) (and (tptp.r2 @t51 @t54) (tptp.r3 @t53 @t52 @t51)))))))
% 0.38/0.62  (assume @p6 @t82)
% 0.38/0.62  (assume @p7 (forall (@list @t84 @t83) (or (forall (@list @t85) (or (forall (@list @t86) (or (not (tptp.r2 @t84 @t86)) (not (= @t86 @t85)))) (not (tptp.r2 @t83 @t85)))) (= @t84 @t83))))
% 0.38/0.62  (assume @p8 @t99)
% 0.38/0.62  (assume @p9 @t117)
% 0.38/0.62  (assume @p10 (forall (@list @t119) (or (exists (@list @t121) (and (tptp.r1 @t121) (= @t119 @t121))) (exists (@list @t120 @t118) (and (tptp.r2 @t120 @t118) (= @t119 @t118))))))
% 0.38/0.62  (assume @p11 (forall (@list @t123 @t122) (or (forall (@list @t124) (or (not (tptp.r1 @t124)) (not (= @t124 @t122)))) (not (tptp.r2 @t123 @t122)))))
% 0.38/0.62  (assume @p12 @t141)
% 0.38/0.62  (assume @p13 true)
% 0.38/0.62  (step @p14 :rule evaluate :args ((= false true)))
% 0.38/0.62  (step @p15 :rule bool-and-de-morgan :args (@t146 @t147 true))
% 0.38/0.62  (step @p16 :rule cong :premises (@p15) :args (@t149))
% 0.38/0.62  (step @p17 :rule cong :premises (@p16) :args (@t150))
% 0.38/0.62  (step @p18 :rule exists-elim :args ((= (exists @t12 @t148) @t150)))
% 0.38/0.62  (step @p19 :rule trans :premises (@p18 @p17))
% 0.38/0.62  (step @p20 :rule aci_norm :args ((= (or false @t147) @t147)))
% 0.38/0.62  (step @p21 :rule aci_norm :args ((= (and @t147 true) @t147)))
% 0.38/0.62  (step @p22 :rule eq-refl :args (@t1))
% 0.38/0.62  (step @p23 :rule refl :args (@t147))
% 0.38/0.62  (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t152))
% 0.38/0.62  (step @p25 :rule trans :premises (@p24 @p21))
% 0.38/0.62  (step @p26 :rule evaluate :args ((not true)))
% 0.38/0.62  (step @p27 :rule cong :premises (@p22) :args (@t153))
% 0.38/0.62  (step @p28 :rule trans :premises (@p27 @p26))
% 0.38/0.62  (step @p29 :rule nary_cong :premises (@p28 @p25) :args (@t154))
% 0.38/0.62  (step @p30 :rule trans :premises (@p29 @p20))
% 0.38/0.62  (step @p31 :rule quant-var-elim-eq :args ((= (forall @t159 (or (not (= @t155 @t1)) @t158 @t157)) @t154)))
% 0.38/0.62  (step @p32 :rule refl :args (@t157))
% 0.38/0.62  (step @p33 :rule refl :args (@t158))
% 0.38/0.62  (step @p34 :rule eq-symm :args (@t1 @t155))
% 0.38/0.62  (step @p35 :rule cong :premises (@p34) :args (@t158))
% 0.38/0.62  (step @p36 :rule nary_cong :premises (@p35 @p33 @p32) :args (@t160))
% 0.38/0.62  (step @p37 :rule aci_norm :args ((= @t161 @t160)))
% 0.38/0.62  (step @p38 :rule trans :premises (@p37 @p36))
% 0.38/0.62  (step @p39 :rule cong :premises (@p38) :args (@t162))
% 0.38/0.62  (step @p40 :rule trans :premises (@p39 @p31))
% 0.38/0.62  (step @p41 :rule trans :premises (@p40 @p30))
% 0.38/0.62  (step @p42 :rule refl :args (@t146))
% 0.38/0.62  (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((and @t146 @t162)))
% 0.38/0.62  (step @p44 :rule alpha_equiv :args (@t167 @t168 (@list @t155)))
% 0.38/0.62  (step @p45 :rule alpha_equiv :args (@t170 @t168 (@list @t142)))
% 0.38/0.62  (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t171))
% 0.38/0.62  (step @p47 :rule quant-miniscope-and :args ((= (forall @t10 (and @t169 @t166)) @t171)))
% 0.38/0.62  (step @p48 :rule trans :premises (@p47 @p46))
% 0.38/0.62  (step @p49 :rule trans :premises (@p48 @p43))
% 0.38/0.62  (step @p50 :rule bool-or-and-distrib :args (@t7 @t165 true @t164 false))
% 0.38/0.62  (step @p51 :rule cong :premises (@p50) :args ((forall @t10 (or (and @t7 @t165) @t164))))
% 0.38/0.62  (step @p52 :rule trans :premises (@p51 @p49))
% 0.38/0.62  (step @p53 :rule eq-symm :args (@t2 @t1))
% 0.38/0.62  (step @p54 :rule refl :args (@t4))
% 0.38/0.62  (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t5))
% 0.38/0.62  (step @p56 :rule cong :premises (@p53) :args (@t6))
% 0.38/0.62  (step @p57 :rule refl :args (@t7))
% 0.38/0.62  (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t8))
% 0.38/0.62  (step @p59 :rule nary_cong :premises (@p58 @p55) :args (@t9))
% 0.38/0.62  (step @p60 :rule cong :premises (@p59) :args (@t11))
% 0.38/0.62  (step @p61 :rule trans :premises (@p60 @p52))
% 0.38/0.62  (step @p62 :rule cong :premises (@p61) :args (@t13))
% 0.38/0.62  (step @p63 :rule trans :premises (@p62 @p19))
% 0.38/0.62  (step @p64 :rule eq_resolve :premises (@p1 @p63))
% 0.38/0.62  (step @p65 :rule refl :args (@t179))
% 0.38/0.62  (step @p66 :rule bool-double-not-elim :args (@t172))
% 0.38/0.62  (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or (not @t180) @t179)))
% 0.38/0.62  (step @p68 :rule refl :args (@t175))
% 0.38/0.62  (step @p69 :rule eq-symm :args (@t173 @t142))
% 0.38/0.62  (step @p70 :rule refl :args (@t143))
% 0.38/0.62  (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t181))
% 0.38/0.62  (step @p72 :rule refl :args (@t144))
% 0.38/0.62  (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t182))
% 0.38/0.62  (step @p74 :rule cong :premises (@p73) :args (@t183))
% 0.38/0.62  (step @p75 :rule cong :premises (@p74) :args (@t184))
% 0.38/0.62  (step @p76 :rule nary_cong :premises (@p75 @p68) :args (@t185))
% 0.38/0.62  (step @p77 :rule cong :premises (@p76) :args (@t186))
% 0.38/0.62  (step @p78 :rule refl :args (@t180))
% 0.47/0.62  (step @p79 :rule cong :premises (@p78 @p77) :args ((=> @t180 @t186)))
% 0.47/0.62  (assume-push @p758 @t180)
% 0.47/0.62  (step @p81 :rule skolemize :premises (@p64))
% 0.47/0.62  (step-pop @p759 :rule scope :premises (@p81))
% 0.47/0.62  (step @p82 :rule process_scope :premises (@p759) :args (@t186))
% 0.47/0.62  (step @p84 :rule eq_resolve :premises (@p82 @p79))
% 0.47/0.62  (step @p85 :rule implies_elim :premises (@p84))
% 0.47/0.62  (step @p86 :rule eq_resolve :premises (@p85 @p67))
% 0.47/0.62  (step @p87 :rule chain_m_resolution :premises (@p86 @p64) :args (@t179 @t187 (@list @t172)))
% 0.47/0.62  (step @p88 :rule bool-double-not-elim :args (@t174))
% 0.47/0.62  (step @p89 :rule refl :args (@t178))
% 0.47/0.62  (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or @t178 (not @t175))))
% 0.47/0.62  (step @p91 :rule cnf_or_neg :args (@t178 1))
% 0.47/0.62  (step @p92 :rule eq_resolve :premises (@p91 @p90))
% 0.47/0.62  (step @p93 :rule reordering :premises (@p92) :args ((or @t174 @t178)))
% 0.47/0.62  (step @p94 :rule chain_m_resolution :premises (@p93 @p87) :args (@t174 @t187 @t188))
% 0.47/0.62  (step @p95 :rule true_intro :premises (@p94))
% 0.47/0.62  (step @p96 :rule bool-and-de-morgan :args (@t193 @t194 true))
% 0.47/0.62  (step @p97 :rule cong :premises (@p96) :args (@t196))
% 0.47/0.62  (step @p98 :rule cong :premises (@p97) :args (@t197))
% 0.47/0.62  (step @p99 :rule exists-elim :args ((= (exists @t32 @t195) @t197)))
% 0.47/0.62  (step @p100 :rule trans :premises (@p99 @p98))
% 0.47/0.62  (step @p101 :rule aci_norm :args ((= (or false @t194) @t194)))
% 0.47/0.62  (step @p102 :rule aci_norm :args ((= (and @t194 true) @t194)))
% 0.47/0.62  (step @p103 :rule eq-refl :args (@t19))
% 0.47/0.62  (step @p104 :rule refl :args (@t194))
% 0.47/0.62  (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t199))
% 0.47/0.62  (step @p106 :rule trans :premises (@p105 @p102))
% 0.47/0.62  (step @p107 :rule cong :premises (@p103) :args (@t200))
% 0.47/0.62  (step @p108 :rule trans :premises (@p107 @p26))
% 0.47/0.62  (step @p109 :rule nary_cong :premises (@p108 @p106) :args (@t201))
% 0.47/0.62  (step @p110 :rule trans :premises (@p109 @p101))
% 0.47/0.62  (step @p111 :rule quant-var-elim-eq :args ((= (forall @t206 (or (not (= @t202 @t19)) @t205 @t204)) @t201)))
% 0.47/0.62  (step @p112 :rule refl :args (@t204))
% 0.47/0.62  (step @p113 :rule refl :args (@t205))
% 0.47/0.62  (step @p114 :rule eq-symm :args (@t19 @t202))
% 0.47/0.62  (step @p115 :rule cong :premises (@p114) :args (@t205))
% 0.47/0.62  (step @p116 :rule nary_cong :premises (@p115 @p113 @p112) :args (@t207))
% 0.47/0.62  (step @p117 :rule aci_norm :args ((= @t208 @t207)))
% 0.47/0.62  (step @p118 :rule trans :premises (@p117 @p116))
% 0.47/0.62  (step @p119 :rule cong :premises (@p118) :args (@t209))
% 0.47/0.62  (step @p120 :rule trans :premises (@p119 @p111))
% 0.47/0.62  (step @p121 :rule trans :premises (@p120 @p110))
% 0.47/0.62  (step @p122 :rule refl :args (@t193))
% 0.47/0.62  (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((and @t193 @t209)))
% 0.47/0.62  (step @p124 :rule alpha_equiv :args (@t214 @t215 (@list @t202)))
% 0.47/0.62  (step @p125 :rule alpha_equiv :args (@t217 @t215 (@list @t189)))
% 0.47/0.62  (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t218))
% 0.47/0.62  (step @p127 :rule quant-miniscope-and :args ((= (forall @t30 (and @t216 @t213)) @t218)))
% 0.47/0.62  (step @p128 :rule trans :premises (@p127 @p126))
% 0.47/0.62  (step @p129 :rule trans :premises (@p128 @p123))
% 0.47/0.62  (step @p130 :rule bool-or-and-distrib :args (@t27 @t212 true @t211 false))
% 0.47/0.62  (step @p131 :rule cong :premises (@p130) :args ((forall @t30 (or (and @t27 @t212) @t211))))
% 0.47/0.62  (step @p132 :rule trans :premises (@p131 @p129))
% 0.47/0.62  (step @p133 :rule eq-symm :args (@t20 @t19))
% 0.47/0.62  (step @p134 :rule refl :args (@t24))
% 0.47/0.62  (step @p135 :rule nary_cong :premises (@p134 @p133) :args (@t25))
% 0.47/0.62  (step @p136 :rule cong :premises (@p133) :args (@t26))
% 0.47/0.62  (step @p137 :rule refl :args (@t27))
% 0.47/0.62  (step @p138 :rule nary_cong :premises (@p137 @p136) :args (@t28))
% 0.47/0.62  (step @p139 :rule nary_cong :premises (@p138 @p135) :args (@t29))
% 0.47/0.62  (step @p140 :rule cong :premises (@p139) :args (@t31))
% 0.47/0.62  (step @p141 :rule trans :premises (@p140 @p132))
% 0.47/0.62  (step @p142 :rule cong :premises (@p141) :args (@t33))
% 0.47/0.62  (step @p143 :rule trans :premises (@p142 @p100))
% 0.47/0.62  (step @p144 :rule cong :premises (@p143) :args (@t34))
% 0.47/0.62  (step @p145 :rule eq_resolve :premises (@p3 @p144))
% 0.47/0.62  (step @p146 :rule instantiate :premises (@p145) :args (@t219))
% 0.47/0.62  (step @p147 :rule refl :args (@t228))
% 0.47/0.62  (step @p148 :rule bool-double-not-elim :args (@t222))
% 0.47/0.62  (step @p149 :rule nary_cong :premises (@p148 @p147) :args ((or (not @t229) @t228)))
% 0.47/0.62  (step @p150 :rule refl :args (@t224))
% 0.47/0.62  (step @p151 :rule eq-symm :args (@t223 @t189))
% 0.47/0.62  (step @p152 :rule refl :args (@t220))
% 0.47/0.62  (step @p153 :rule nary_cong :premises (@p152 @p151) :args (@t230))
% 0.47/0.62  (step @p154 :rule refl :args (@t221))
% 0.47/0.62  (step @p155 :rule nary_cong :premises (@p154 @p153) :args (@t231))
% 0.47/0.62  (step @p156 :rule cong :premises (@p155) :args (@t232))
% 0.47/0.62  (step @p157 :rule cong :premises (@p156) :args (@t233))
% 0.47/0.62  (step @p158 :rule nary_cong :premises (@p157 @p150) :args (@t234))
% 0.47/0.62  (step @p159 :rule cong :premises (@p158) :args (@t235))
% 0.47/0.62  (step @p160 :rule refl :args (@t229))
% 0.47/0.62  (step @p161 :rule cong :premises (@p160 @p159) :args ((=> @t229 @t235)))
% 0.47/0.62  (assume-push @p760 @t229)
% 0.47/0.62  (step @p163 :rule skolemize :premises (@p146))
% 0.47/0.62  (step-pop @p761 :rule scope :premises (@p163))
% 0.47/0.62  (step @p164 :rule process_scope :premises (@p761) :args (@t235))
% 0.47/0.62  (step @p166 :rule eq_resolve :premises (@p164 @p161))
% 0.47/0.62  (step @p167 :rule implies_elim :premises (@p166))
% 0.47/0.62  (step @p168 :rule eq_resolve :premises (@p167 @p149))
% 0.47/0.62  (step @p169 :rule chain_m_resolution :premises (@p168 @p146) :args (@t228 @t187 (@list @t222)))
% 0.47/0.62  (step @p170 :rule bool-double-not-elim :args (@t225))
% 0.47/0.62  (step @p171 :rule refl :args (@t227))
% 0.47/0.62  (step @p172 :rule nary_cong :premises (@p171 @p170) :args ((or @t227 (not @t226))))
% 0.47/0.62  (step @p173 :rule cnf_or_neg :args (@t227 0))
% 0.47/0.62  (step @p174 :rule eq_resolve :premises (@p173 @p172))
% 0.47/0.62  (step @p175 :rule reordering :premises (@p174) :args ((or @t225 @t227)))
% 0.47/0.62  (step @p176 :rule chain_m_resolution :premises (@p175 @p169) :args (@t225 @t187 (@list @t227)))
% 0.47/0.62  (step @p177 :rule instantiate :premises (@p176) :args (@t236))
% 0.47/0.62  (step @p178 :rule aci_norm :args ((= (or false @t239 @t238) (or @t239 @t238))))
% 0.47/0.62  (step @p179 :rule refl :args (@t238))
% 0.47/0.62  (step @p180 :rule refl :args (@t239))
% 0.47/0.62  (step @p181 :rule eq-refl :args (@t87))
% 0.47/0.62  (step @p182 :rule cong :premises (@p181) :args (@t240))
% 0.47/0.62  (step @p183 :rule trans :premises (@p182 @p26))
% 0.47/0.62  (step @p184 :rule nary_cong :premises (@p183 @p180 @p179) :args (@t241))
% 0.47/0.62  (step @p185 :rule trans :premises (@p184 @p178))
% 0.47/0.62  (step @p186 :rule cong :premises (@p185) :args ((forall @t242 @t241)))
% 0.47/0.62  (step @p187 :rule quant-var-elim-eq :args ((= (forall @t97 (or (not @t89) @t245 @t239 @t243)) @t241)))
% 0.47/0.62  (step @p188 :rule refl :args (@t243))
% 0.47/0.62  (step @p189 :rule refl :args (@t239))
% 0.47/0.62  (step @p190 :rule refl :args (@t245))
% 0.47/0.62  (step @p191 :rule eq-symm :args (@t87 @t88))
% 0.47/0.62  (step @p192 :rule cong :premises (@p191) :args (@t245))
% 0.47/0.62  (step @p193 :rule nary_cong :premises (@p192 @p190 @p189 @p188) :args (@t246))
% 0.47/0.62  (step @p194 :rule aci_norm :args ((= @t247 @t246)))
% 0.47/0.62  (step @p195 :rule trans :premises (@p194 @p193))
% 0.47/0.62  (step @p196 :rule cong :premises (@p195) :args (@t248))
% 0.47/0.62  (step @p197 :rule trans :premises (@p196 @p187))
% 0.47/0.62  (step @p198 :rule cong :premises (@p197) :args (@t249))
% 0.47/0.62  (step @p199 :rule quant-merge-prenex :args ((= @t249 @t250)))
% 0.47/0.62  (step @p200 :rule symm :premises (@p199))
% 0.47/0.62  (step @p201 :rule quant_var_reordering :args ((= (forall @t251 @t247) @t250)))
% 0.47/0.62  (step @p202 :rule trans :premises (@p201 @p200 @p198))
% 0.47/0.62  (step @p203 :rule trans :premises (@p202 @p186))
% 0.47/0.62  (step @p204 :rule aci_norm :args ((= @t253 @t247)))
% 0.47/0.62  (step @p205 :rule cong :premises (@p204) :args (@t254))
% 0.47/0.62  (step @p206 :rule trans :premises (@p205 @p203))
% 0.47/0.62  (step @p207 :rule quant-merge-prenex :args ((= (forall @t97 @t255) @t254)))
% 0.47/0.62  (step @p208 :rule alpha_equiv :args (@t256 (@list @t237) (@list @t90)))
% 0.47/0.62  (step @p209 :rule nary_cong :premises (@p208 @p190) :args (@t257))
% 0.47/0.62  (step @p210 :rule quant-miniscope-or :args ((= @t255 @t257)))
% 0.47/0.62  (step @p211 :rule trans :premises (@p210 @p209))
% 0.47/0.62  (step @p212 :rule symm :premises (@p211))
% 0.47/0.62  (step @p213 :rule cong :premises (@p212) :args ((forall @t97 (or @t258 @t245))))
% 0.47/0.62  (step @p214 :rule trans :premises (@p213 @p207))
% 0.47/0.62  (step @p215 :rule trans :premises (@p214 @p206))
% 0.47/0.62  (step @p216 :rule bool-double-not-elim :args (@t258))
% 0.47/0.62  (step @p217 :rule nary_cong :premises (@p216 @p190) :args ((or (not @t259) @t245)))
% 0.47/0.62  (step @p218 :rule bool-and-de-morgan :args (@t259 @t244 true))
% 0.47/0.62  (step @p219 :rule trans :premises (@p218 @p217))
% 0.47/0.62  (step @p220 :rule cong :premises (@p219) :args (@t261))
% 0.47/0.62  (step @p221 :rule trans :premises (@p220 @p215))
% 0.47/0.62  (step @p222 :rule cong :premises (@p221) :args (@t262))
% 0.47/0.62  (step @p223 :rule exists-elim :args ((= (exists @t97 @t260) @t262)))
% 0.47/0.62  (step @p224 :rule trans :premises (@p223 @p222))
% 0.47/0.62  (step @p225 :rule eq-symm :args (@t88 @t87))
% 0.47/0.62  (step @p226 :rule bool-and-de-morgan :args (@t92 @t91 true))
% 0.47/0.62  (step @p227 :rule cong :premises (@p226) :args (@t263))
% 0.47/0.62  (step @p228 :rule cong :premises (@p227) :args (@t264))
% 0.47/0.62  (step @p229 :rule exists-elim :args ((= @t95 @t264)))
% 0.47/0.62  (step @p230 :rule trans :premises (@p229 @p228))
% 0.47/0.62  (step @p231 :rule nary_cong :premises (@p230 @p225) :args (@t96))
% 0.47/0.62  (step @p232 :rule cong :premises (@p231) :args (@t98))
% 0.47/0.62  (step @p233 :rule trans :premises (@p232 @p224))
% 0.47/0.62  (step @p234 :rule cong :premises (@p233) :args (@t99))
% 0.47/0.62  (step @p235 :rule eq_resolve :premises (@p8 @p234))
% 0.47/0.62  (step @p236 :rule instantiate :premises (@p235) :args (@t236))
% 0.47/0.62  (step @p237 :rule skolemize :premises (@p236))
% 0.47/0.62  (step @p238 :rule bool-double-not-elim :args (@t266))
% 0.47/0.62  (step @p239 :rule refl :args (@t270))
% 0.47/0.62  (step @p240 :rule nary_cong :premises (@p239 @p238) :args ((or @t270 (not @t267))))
% 0.47/0.62  (step @p241 :rule cnf_or_neg :args (@t270 1))
% 0.47/0.62  (step @p242 :rule eq_resolve :premises (@p241 @p240))
% 0.47/0.62  (step @p243 :rule reordering :premises (@p242) :args ((or @t266 @t270)))
% 0.47/0.62  (step @p244 :rule chain_m_resolution :premises (@p243 @p237) :args (@t266 @t187 @t271))
% 0.47/0.62  (step @p245 :rule true_intro :premises (@p244))
% 0.47/0.62  (step @p246 :rule refl :args (@t173))
% 0.47/0.62  (step @p247 :rule bool-double-not-elim :args (@t176))
% 0.47/0.62  (step @p248 :rule nary_cong :premises (@p89 @p247) :args ((or @t178 (not @t177))))
% 0.47/0.62  (step @p249 :rule cnf_or_neg :args (@t178 0))
% 0.47/0.62  (step @p250 :rule eq_resolve :premises (@p249 @p248))
% 0.47/0.62  (step @p251 :rule reordering :premises (@p250) :args ((or @t176 @t178)))
% 0.47/0.62  (step @p252 :rule chain_m_resolution :premises (@p251 @p87) :args (@t176 @t187 @t188))
% 0.47/0.62  (step @p253 :rule eq-symm :args (@t265 @t173))
% 0.47/0.62  (step @p254 :rule refl :args (@t268))
% 0.47/0.62  (step @p255 :rule nary_cong :premises (@p254 @p253) :args (@t272))
% 0.47/0.62  (step @p256 :rule refl :args (@t269))
% 0.47/0.62  (step @p257 :rule nary_cong :premises (@p256 @p255) :args (@t273))
% 0.47/0.62  (step @p258 :rule refl :args (@t176))
% 0.47/0.62  (step @p259 :rule cong :premises (@p258 @p257) :args ((=> @t176 @t273)))
% 0.47/0.62  (assume-push @p762 @t176)
% 0.47/0.62  (step @p261 :rule instantiate :premises (@p252) :args ((@list @t265)))
% 0.47/0.62  (step-pop @p763 :rule scope :premises (@p261))
% 0.47/0.62  (step @p262 :rule process_scope :premises (@p763) :args (@t273))
% 0.47/0.62  (step @p264 :rule eq_resolve :premises (@p262 @p259))
% 0.47/0.62  (step @p265 :rule implies_elim :premises (@p264))
% 0.47/0.62  (step @p266 :rule chain_m_resolution :premises (@p265 @p252) :args (@t276 @t277 @t278))
% 0.47/0.62  (step @p267 :rule bool-double-not-elim :args (@t268))
% 0.47/0.62  (step @p268 :rule nary_cong :premises (@p239 @p267) :args ((or @t270 (not @t269))))
% 0.47/0.62  (step @p269 :rule cnf_or_neg :args (@t270 0))
% 0.47/0.62  (step @p270 :rule eq_resolve :premises (@p269 @p268))
% 0.47/0.62  (step @p271 :rule reordering :premises (@p270) :args ((or @t268 @t270)))
% 0.47/0.62  (step @p272 :rule chain_m_resolution :premises (@p271 @p237) :args (@t268 @t187 @t271))
% 0.47/0.62  (step @p273 :rule cnf_or_pos :args (@t276))
% 0.47/0.62  (step @p274 :rule reordering :premises (@p273) :args ((or @t269 @t275 (not @t276))))
% 0.47/0.62  (step @p275 :rule chain_m_resolution :premises (@p274 @p272 @p266) :args (@t275 @t279 (@list @t268 @t276)))
% 0.47/0.62  (step @p276 :rule cnf_and_pos :args (@t275 1))
% 0.47/0.62  (step @p277 :rule reordering :premises (@p276) :args ((or @t274 (not @t275))))
% 0.47/0.62  (step @p278 :rule chain_m_resolution :premises (@p277 @p275) :args (@t274 @t277 (@list @t275)))
% 0.47/0.62  (step @p279 :rule cong :premises (@p246 @p278 @p246) :args (@t280))
% 0.47/0.62  (step @p280 :rule trans :premises (@p279 @p245))
% 0.47/0.62  (step @p281 :rule true_elim :premises (@p280))
% 0.47/0.62  (step @p282 :rule cnf_or_pos :args (@t284))
% 0.47/0.62  (step @p283 :rule reordering :premises (@p282) :args ((or @t283 @t282 (not @t284))))
% 0.47/0.62  (step @p284 :rule chain_m_resolution :premises (@p283 @p281 @p177) :args (@t282 @t279 (@list @t280 @t284)))
% 0.47/0.62  (step @p285 :rule cnf_and_pos :args (@t282 1))
% 0.47/0.62  (step @p286 :rule reordering :premises (@p285) :args ((or @t281 (not @t282))))
% 0.47/0.62  (step @p287 :rule chain_m_resolution :premises (@p286 @p284) :args (@t281 @t277 (@list @t282)))
% 0.47/0.62  (step @p288 :rule symm :premises (@p287))
% 0.47/0.62  (step @p289 :rule eq-symm :args (@t289 @t223))
% 0.47/0.62  (step @p290 :rule refl :args (@t290))
% 0.47/0.62  (step @p291 :rule nary_cong :premises (@p290 @p289) :args (@t291))
% 0.47/0.62  (step @p292 :rule refl :args (@t292))
% 0.47/0.62  (step @p293 :rule nary_cong :premises (@p292 @p291) :args (@t293))
% 0.47/0.62  (step @p294 :rule refl :args (@t225))
% 0.47/0.62  (step @p295 :rule cong :premises (@p294 @p293) :args ((=> @t225 @t293)))
% 0.47/0.62  (assume-push @p764 @t225)
% 0.47/0.62  (step @p297 :rule instantiate :premises (@p176) :args ((@list @t289)))
% 0.47/0.62  (step-pop @p765 :rule scope :premises (@p297))
% 0.47/0.62  (step @p298 :rule process_scope :premises (@p765) :args (@t293))
% 0.47/0.62  (step @p300 :rule eq_resolve :premises (@p298 @p295))
% 0.47/0.62  (step @p301 :rule implies_elim :premises (@p300))
% 0.47/0.62  (step @p302 :rule chain_m_resolution :premises (@p301 @p176) :args (@t296 @t277 (@list @t225)))
% 0.47/0.62  (step @p303 :rule aci_norm :args ((= @t303 (or @t300 @t299 @t298 @t297))))
% 0.47/0.62  (step @p304 :rule cong :premises (@p303) :args (@t304))
% 0.47/0.62  (step @p305 :rule quant-merge-prenex :args ((= (forall @t80 @t305) @t304)))
% 0.47/0.62  (step @p306 :rule alpha_equiv :args (@t306 (@list @t285) (@list @t59)))
% 0.47/0.62  (step @p307 :rule alpha_equiv :args (@t307 (@list @t286) @t309))
% 0.47/0.63  (step @p308 :rule nary_cong :premises (@p307 @p306) :args (@t310))
% 0.47/0.63  (step @p309 :rule quant-miniscope-or :args ((= @t305 @t310)))
% 0.47/0.63  (step @p310 :rule trans :premises (@p309 @p308))
% 0.47/0.63  (step @p311 :rule symm :premises (@p310))
% 0.47/0.63  (step @p312 :rule cong :premises (@p311) :args ((forall @t80 (or @t316 @t311))))
% 0.47/0.63  (step @p313 :rule trans :premises (@p312 @p305))
% 0.47/0.63  (step @p314 :rule trans :premises (@p313 @p304))
% 0.47/0.63  (step @p315 :rule bool-double-not-elim :args (@t311))
% 0.47/0.63  (step @p316 :rule bool-double-not-elim :args (@t316))
% 0.47/0.63  (step @p317 :rule nary_cong :premises (@p316 @p315) :args ((or (not @t318) (not @t317))))
% 0.47/0.63  (step @p318 :rule bool-and-de-morgan :args (@t318 @t317 true))
% 0.47/0.63  (step @p319 :rule trans :premises (@p318 @p317))
% 0.47/0.63  (step @p320 :rule cong :premises (@p319) :args (@t320))
% 0.47/0.63  (step @p321 :rule trans :premises (@p320 @p314))
% 0.47/0.63  (step @p322 :rule cong :premises (@p321) :args (@t321))
% 0.47/0.63  (step @p323 :rule exists-elim :args ((= (exists @t80 @t319) @t321)))
% 0.47/0.63  (step @p324 :rule trans :premises (@p323 @p322))
% 0.47/0.63  (step @p325 :rule bool-and-de-morgan :args (@t64 @t62 true))
% 0.47/0.63  (step @p326 :rule cong :premises (@p325) :args (@t322))
% 0.47/0.63  (step @p327 :rule cong :premises (@p326) :args (@t323))
% 0.47/0.63  (step @p328 :rule exists-elim :args ((= @t67 @t323)))
% 0.47/0.63  (step @p329 :rule trans :premises (@p328 @p327))
% 0.47/0.63  (step @p330 :rule aci_norm :args ((= (or false @t313 @t312) @t314)))
% 0.47/0.63  (step @p331 :rule refl :args (@t312))
% 0.47/0.63  (step @p332 :rule refl :args (@t313))
% 0.47/0.63  (step @p333 :rule eq-refl :args (@t63))
% 0.47/0.63  (step @p334 :rule cong :premises (@p333) :args (@t324))
% 0.47/0.63  (step @p335 :rule trans :premises (@p334 @p26))
% 0.47/0.63  (step @p336 :rule nary_cong :premises (@p335 @p332 @p331) :args (@t325))
% 0.47/0.63  (step @p337 :rule trans :premises (@p336 @p330))
% 0.47/0.63  (step @p338 :rule cong :premises (@p337) :args ((forall @t315 @t325)))
% 0.47/0.63  (step @p339 :rule quant-var-elim-eq :args ((= (forall @t77 (or (not @t69) @t328 @t313 @t326)) @t325)))
% 0.47/0.63  (step @p340 :rule refl :args (@t326))
% 0.47/0.63  (step @p341 :rule refl :args (@t313))
% 0.47/0.63  (step @p342 :rule refl :args (@t328))
% 0.47/0.63  (step @p343 :rule eq-symm :args (@t63 @t68))
% 0.47/0.63  (step @p344 :rule cong :premises (@p343) :args (@t328))
% 0.47/0.63  (step @p345 :rule nary_cong :premises (@p344 @p342 @p341 @p340) :args (@t329))
% 0.47/0.63  (step @p346 :rule aci_norm :args ((= @t330 @t329)))
% 0.47/0.63  (step @p347 :rule trans :premises (@p346 @p345))
% 0.47/0.63  (step @p348 :rule cong :premises (@p347) :args (@t331))
% 0.47/0.63  (step @p349 :rule trans :premises (@p348 @p339))
% 0.47/0.63  (step @p350 :rule cong :premises (@p349) :args (@t332))
% 0.47/0.63  (step @p351 :rule quant-merge-prenex :args ((= @t332 @t333)))
% 0.47/0.63  (step @p352 :rule symm :premises (@p351))
% 0.47/0.63  (step @p353 :rule quant_var_reordering :args ((= (forall @t334 @t330) @t333)))
% 0.47/0.63  (step @p354 :rule trans :premises (@p353 @p352 @p350))
% 0.47/0.63  (step @p355 :rule trans :premises (@p354 @p338))
% 0.47/0.63  (step @p356 :rule aci_norm :args ((= @t336 @t330)))
% 0.47/0.63  (step @p357 :rule cong :premises (@p356) :args (@t337))
% 0.47/0.63  (step @p358 :rule trans :premises (@p357 @p355))
% 0.47/0.63  (step @p359 :rule quant-merge-prenex :args ((= (forall @t77 @t338) @t337)))
% 0.47/0.63  (step @p360 :rule alpha_equiv :args (@t339 @t309 (@list @t70)))
% 0.47/0.63  (step @p361 :rule nary_cong :premises (@p360 @p342) :args (@t340))
% 0.47/0.63  (step @p362 :rule quant-miniscope-or :args ((= @t338 @t340)))
% 0.47/0.63  (step @p363 :rule trans :premises (@p362 @p361))
% 0.47/0.63  (step @p364 :rule symm :premises (@p363))
% 0.47/0.63  (step @p365 :rule cong :premises (@p364) :args ((forall @t77 (or @t341 @t328))))
% 0.47/0.63  (step @p366 :rule trans :premises (@p365 @p359))
% 0.47/0.63  (step @p367 :rule trans :premises (@p366 @p358))
% 0.47/0.63  (step @p368 :rule bool-double-not-elim :args (@t341))
% 0.47/0.63  (step @p369 :rule nary_cong :premises (@p368 @p342) :args ((or (not @t342) @t328)))
% 0.47/0.63  (step @p370 :rule bool-and-de-morgan :args (@t342 @t327 true))
% 0.47/0.63  (step @p371 :rule trans :premises (@p370 @p369))
% 0.47/0.63  (step @p372 :rule cong :premises (@p371) :args (@t344))
% 0.47/0.63  (step @p373 :rule trans :premises (@p372 @p367))
% 0.47/0.63  (step @p374 :rule cong :premises (@p373) :args (@t345))
% 0.47/0.63  (step @p375 :rule exists-elim :args ((= (exists @t77 @t343) @t345)))
% 0.47/0.63  (step @p376 :rule trans :premises (@p375 @p374))
% 0.47/0.63  (step @p377 :rule eq-symm :args (@t68 @t63))
% 0.47/0.63  (step @p378 :rule bool-and-de-morgan :args (@t72 @t71 true))
% 0.47/0.63  (step @p379 :rule cong :premises (@p378) :args (@t346))
% 0.47/0.63  (step @p380 :rule cong :premises (@p379) :args (@t347))
% 0.47/0.63  (step @p381 :rule exists-elim :args ((= @t75 @t347)))
% 0.47/0.63  (step @p382 :rule trans :premises (@p381 @p380))
% 0.47/0.63  (step @p383 :rule nary_cong :premises (@p382 @p377) :args (@t76))
% 0.47/0.63  (step @p384 :rule cong :premises (@p383) :args (@t78))
% 0.47/0.63  (step @p385 :rule trans :premises (@p384 @p376))
% 0.47/0.63  (step @p386 :rule nary_cong :premises (@p385 @p329) :args (@t79))
% 0.47/0.63  (step @p387 :rule cong :premises (@p386) :args (@t81))
% 0.47/0.63  (step @p388 :rule trans :premises (@p387 @p324))
% 0.47/0.63  (step @p389 :rule cong :premises (@p388) :args (@t82))
% 0.47/0.63  (step @p390 :rule eq_resolve :premises (@p6 @p389))
% 0.47/0.63  (step @p391 :rule instantiate :premises (@p390) :args (@t219))
% 0.47/0.63  (step @p392 :rule skolemize :premises (@p391))
% 0.47/0.63  (step @p393 :rule bool-double-not-elim :args (@t349))
% 0.47/0.63  (step @p394 :rule refl :args (@t358))
% 0.47/0.63  (step @p395 :rule nary_cong :premises (@p394 @p393) :args ((or @t358 (not @t352))))
% 0.47/0.63  (step @p396 :rule cnf_or_neg :args (@t358 2))
% 0.47/0.63  (step @p397 :rule eq_resolve :premises (@p396 @p395))
% 0.47/0.63  (step @p398 :rule reordering :premises (@p397) :args ((or @t349 @t358)))
% 0.47/0.63  (step @p399 :rule chain_m_resolution :premises (@p398 @p392) :args (@t349 @t187 @t359))
% 0.47/0.63  (step @p400 :rule true_intro :premises (@p399))
% 0.47/0.63  (step @p401 :rule refl :args (@t289))
% 0.47/0.63  (step @p402 :rule bool-and-de-morgan :args (@t364 @t365 true))
% 0.47/0.63  (step @p403 :rule cong :premises (@p402) :args (@t367))
% 0.47/0.63  (step @p404 :rule cong :premises (@p403) :args (@t368))
% 0.47/0.63  (step @p405 :rule exists-elim :args ((= (exists @t48 @t366) @t368)))
% 0.47/0.63  (step @p406 :rule trans :premises (@p405 @p404))
% 0.47/0.63  (step @p407 :rule aci_norm :args ((= (or false @t365) @t365)))
% 0.47/0.63  (step @p408 :rule aci_norm :args ((= (and @t365 true) @t365)))
% 0.47/0.63  (step @p409 :rule eq-refl :args (@t35))
% 0.47/0.63  (step @p410 :rule refl :args (@t365))
% 0.47/0.63  (step @p411 :rule nary_cong :premises (@p410 @p409) :args (@t370))
% 0.47/0.63  (step @p412 :rule trans :premises (@p411 @p408))
% 0.47/0.63  (step @p413 :rule cong :premises (@p409) :args (@t371))
% 0.47/0.63  (step @p414 :rule trans :premises (@p413 @p26))
% 0.47/0.63  (step @p415 :rule nary_cong :premises (@p414 @p412) :args (@t372))
% 0.47/0.63  (step @p416 :rule trans :premises (@p415 @p407))
% 0.47/0.63  (step @p417 :rule quant-var-elim-eq :args ((= (forall @t377 (or (not (= @t373 @t35)) @t376 @t375)) @t372)))
% 0.47/0.63  (step @p418 :rule refl :args (@t375))
% 0.47/0.63  (step @p419 :rule refl :args (@t376))
% 0.47/0.63  (step @p420 :rule eq-symm :args (@t35 @t373))
% 0.47/0.63  (step @p421 :rule cong :premises (@p420) :args (@t376))
% 0.47/0.63  (step @p422 :rule nary_cong :premises (@p421 @p419 @p418) :args (@t378))
% 0.47/0.63  (step @p423 :rule aci_norm :args ((= @t379 @t378)))
% 0.47/0.63  (step @p424 :rule trans :premises (@p423 @p422))
% 0.47/0.63  (step @p425 :rule cong :premises (@p424) :args (@t380))
% 0.47/0.63  (step @p426 :rule trans :premises (@p425 @p417))
% 0.47/0.63  (step @p427 :rule trans :premises (@p426 @p416))
% 0.47/0.63  (step @p428 :rule refl :args (@t364))
% 0.47/0.63  (step @p429 :rule nary_cong :premises (@p428 @p427) :args ((and @t364 @t380)))
% 0.47/0.63  (step @p430 :rule alpha_equiv :args (@t385 @t386 (@list @t373)))
% 0.47/0.63  (step @p431 :rule alpha_equiv :args (@t388 @t386 (@list @t360)))
% 0.47/0.63  (step @p432 :rule nary_cong :premises (@p431 @p430) :args (@t389))
% 0.47/0.63  (step @p433 :rule quant-miniscope-and :args ((= (forall @t46 (and @t387 @t384)) @t389)))
% 0.47/0.63  (step @p434 :rule trans :premises (@p433 @p432))
% 0.47/0.63  (step @p435 :rule trans :premises (@p434 @p429))
% 0.47/0.63  (step @p436 :rule bool-or-and-distrib :args (@t43 @t383 true @t382 false))
% 0.47/0.63  (step @p437 :rule cong :premises (@p436) :args ((forall @t46 (or (and @t43 @t383) @t382))))
% 0.47/0.63  (step @p438 :rule trans :premises (@p437 @p435))
% 0.47/0.63  (step @p439 :rule eq-symm :args (@t36 @t35))
% 0.47/0.63  (step @p440 :rule refl :args (@t40))
% 0.47/0.63  (step @p441 :rule nary_cong :premises (@p440 @p439) :args (@t41))
% 0.47/0.63  (step @p442 :rule cong :premises (@p439) :args (@t42))
% 0.47/0.63  (step @p443 :rule refl :args (@t43))
% 0.47/0.63  (step @p444 :rule nary_cong :premises (@p443 @p442) :args (@t44))
% 0.47/0.63  (step @p445 :rule nary_cong :premises (@p444 @p441) :args (@t45))
% 0.47/0.63  (step @p446 :rule cong :premises (@p445) :args (@t47))
% 0.47/0.63  (step @p447 :rule trans :premises (@p446 @p438))
% 0.47/0.63  (step @p448 :rule cong :premises (@p447) :args (@t49))
% 0.47/0.63  (step @p449 :rule trans :premises (@p448 @p406))
% 0.47/0.63  (step @p450 :rule cong :premises (@p449) :args (@t50))
% 0.47/0.63  (step @p451 :rule eq_resolve :premises (@p4 @p450))
% 0.47/0.63  (step @p452 :rule instantiate :premises (@p451) :args (@t219))
% 0.47/0.63  (step @p453 :rule refl :args (@t398))
% 0.47/0.63  (step @p454 :rule bool-double-not-elim :args (@t392))
% 0.47/0.63  (step @p455 :rule nary_cong :premises (@p454 @p453) :args ((or (not @t399) @t398)))
% 0.47/0.63  (step @p456 :rule refl :args (@t394))
% 0.47/0.63  (step @p457 :rule eq-symm :args (@t393 @t360))
% 0.47/0.63  (step @p458 :rule refl :args (@t390))
% 0.47/0.63  (step @p459 :rule nary_cong :premises (@p458 @p457) :args (@t400))
% 0.47/0.63  (step @p460 :rule refl :args (@t391))
% 0.47/0.63  (step @p461 :rule nary_cong :premises (@p460 @p459) :args (@t401))
% 0.47/0.63  (step @p462 :rule cong :premises (@p461) :args (@t402))
% 0.47/0.63  (step @p463 :rule cong :premises (@p462) :args (@t403))
% 0.47/0.63  (step @p464 :rule nary_cong :premises (@p463 @p456) :args (@t404))
% 0.47/0.63  (step @p465 :rule cong :premises (@p464) :args (@t405))
% 0.47/0.63  (step @p466 :rule refl :args (@t399))
% 0.47/0.63  (step @p467 :rule cong :premises (@p466 @p465) :args ((=> @t399 @t405)))
% 0.47/0.63  (assume-push @p766 @t399)
% 0.47/0.63  (step @p469 :rule skolemize :premises (@p452))
% 0.47/0.63  (step-pop @p767 :rule scope :premises (@p469))
% 0.47/0.63  (step @p470 :rule process_scope :premises (@p767) :args (@t405))
% 0.47/0.63  (step @p472 :rule eq_resolve :premises (@p470 @p467))
% 0.47/0.63  (step @p473 :rule implies_elim :premises (@p472))
% 0.47/0.63  (step @p474 :rule eq_resolve :premises (@p473 @p455))
% 0.47/0.63  (step @p475 :rule chain_m_resolution :premises (@p474 @p452) :args (@t398 @t187 (@list @t392)))
% 0.47/0.63  (step @p476 :rule bool-double-not-elim :args (@t395))
% 0.47/0.63  (step @p477 :rule refl :args (@t397))
% 0.47/0.63  (step @p478 :rule nary_cong :premises (@p477 @p476) :args ((or @t397 (not @t396))))
% 0.47/0.63  (step @p479 :rule cnf_or_neg :args (@t397 0))
% 0.47/0.63  (step @p480 :rule eq_resolve :premises (@p479 @p478))
% 0.47/0.63  (step @p481 :rule reordering :premises (@p480) :args ((or @t395 @t397)))
% 0.47/0.63  (step @p482 :rule chain_m_resolution :premises (@p481 @p475) :args (@t395 @t187 (@list @t397)))
% 0.47/0.63  (step @p483 :rule eq-symm :args (@t348 @t393))
% 0.47/0.63  (step @p484 :rule refl :args (@t350))
% 0.47/0.63  (step @p485 :rule nary_cong :premises (@p484 @p483) :args (@t406))
% 0.47/0.63  (step @p486 :rule refl :args (@t351))
% 0.47/0.63  (step @p487 :rule nary_cong :premises (@p486 @p485) :args (@t407))
% 0.47/0.63  (step @p488 :rule refl :args (@t395))
% 0.47/0.63  (step @p489 :rule cong :premises (@p488 @p487) :args ((=> @t395 @t407)))
% 0.47/0.63  (assume-push @p768 @t395)
% 0.47/0.63  (step @p491 :rule instantiate :premises (@p482) :args ((@list @t348)))
% 0.47/0.63  (step-pop @p769 :rule scope :premises (@p491))
% 0.47/0.63  (step @p492 :rule process_scope :premises (@p769) :args (@t407))
% 0.47/0.63  (step @p494 :rule eq_resolve :premises (@p492 @p489))
% 0.47/0.63  (step @p495 :rule implies_elim :premises (@p494))
% 0.47/0.63  (step @p496 :rule chain_m_resolution :premises (@p495 @p482) :args (@t410 @t277 (@list @t395)))
% 0.47/0.63  (step @p497 :rule bool-double-not-elim :args (@t350))
% 0.47/0.63  (step @p498 :rule nary_cong :premises (@p394 @p497) :args ((or @t358 (not @t351))))
% 0.47/0.63  (step @p499 :rule cnf_or_neg :args (@t358 3))
% 0.47/0.63  (step @p500 :rule eq_resolve :premises (@p499 @p498))
% 0.47/0.63  (step @p501 :rule reordering :premises (@p500) :args ((or @t350 @t358)))
% 0.47/0.63  (step @p502 :rule chain_m_resolution :premises (@p501 @p392) :args (@t350 @t187 @t359))
% 0.47/0.63  (step @p503 :rule cnf_or_pos :args (@t410))
% 0.47/0.63  (step @p504 :rule reordering :premises (@p503) :args ((or @t351 @t409 (not @t410))))
% 0.47/0.63  (step @p505 :rule chain_m_resolution :premises (@p504 @p502 @p496) :args (@t409 @t279 (@list @t350 @t410)))
% 0.47/0.63  (step @p506 :rule cnf_and_pos :args (@t409 1))
% 0.47/0.63  (step @p507 :rule reordering :premises (@p506) :args ((or @t408 (not @t409))))
% 0.47/0.63  (step @p508 :rule chain_m_resolution :premises (@p507 @p505) :args (@t408 @t277 (@list @t409)))
% 0.47/0.63  (step @p509 :rule instantiate :premises (@p482) :args (@t236))
% 0.47/0.63  (step @p510 :rule aci_norm :args ((= @t417 (or @t415 @t413 @t412))))
% 0.47/0.63  (step @p511 :rule cong :premises (@p510) :args (@t419))
% 0.47/0.63  (step @p512 :rule quant-merge-prenex :args ((= (forall @t115 @t421) @t419)))
% 0.47/0.63  (step @p513 :rule refl :args (@t415))
% 0.47/0.63  (step @p514 :rule alpha_equiv :args (@t422 (@list @t411) (@list @t107)))
% 0.47/0.63  (step @p515 :rule nary_cong :premises (@p514 @p513) :args (@t423))
% 0.47/0.63  (step @p516 :rule quant-miniscope-or :args ((= @t421 @t423)))
% 0.47/0.63  (step @p517 :rule trans :premises (@p516 @p515))
% 0.47/0.63  (step @p518 :rule symm :premises (@p517))
% 0.47/0.63  (step @p519 :rule cong :premises (@p518) :args ((forall @t115 (or @t424 @t415))))
% 0.47/0.63  (step @p520 :rule trans :premises (@p519 @p512))
% 0.47/0.63  (step @p521 :rule trans :premises (@p520 @p511))
% 0.47/0.63  (step @p522 :rule bool-double-not-elim :args (@t424))
% 0.47/0.63  (step @p523 :rule nary_cong :premises (@p522 @p513) :args ((or (not @t425) @t415)))
% 0.47/0.63  (step @p524 :rule bool-and-de-morgan :args (@t425 @t414 true))
% 0.47/0.63  (step @p525 :rule trans :premises (@p524 @p523))
% 0.47/0.63  (step @p526 :rule cong :premises (@p525) :args (@t427))
% 0.47/0.63  (step @p527 :rule trans :premises (@p526 @p521))
% 0.47/0.63  (step @p528 :rule cong :premises (@p527) :args (@t428))
% 0.47/0.63  (step @p529 :rule exists-elim :args ((= (exists @t115 @t426) @t428)))
% 0.47/0.63  (step @p530 :rule trans :premises (@p529 @p528))
% 0.47/0.63  (step @p531 :rule bool-double-not-elim :args (@t414))
% 0.47/0.63  (step @p532 :rule aci_norm :args ((= (or @t415 false) @t415)))
% 0.47/0.63  (step @p533 :rule eq-refl :args (@t101))
% 0.47/0.63  (step @p534 :rule cong :premises (@p533) :args (@t429))
% 0.47/0.63  (step @p535 :rule trans :premises (@p534 @p26))
% 0.47/0.63  (step @p536 :rule refl :args (@t415))
% 0.47/0.63  (step @p537 :rule nary_cong :premises (@p536 @p535) :args (@t430))
% 0.47/0.63  (step @p538 :rule trans :premises (@p537 @p532))
% 0.47/0.63  (step @p539 :rule quant-var-elim-eq :args ((= (forall @t105 (or (not (= @t100 @t101)) @t432 @t431)) @t430)))
% 0.47/0.63  (step @p540 :rule refl :args (@t431))
% 0.47/0.63  (step @p541 :rule refl :args (@t432))
% 0.47/0.63  (step @p542 :rule eq-symm :args (@t101 @t100))
% 0.47/0.63  (step @p543 :rule cong :premises (@p542) :args (@t431))
% 0.47/0.63  (step @p544 :rule nary_cong :premises (@p543 @p541 @p540) :args (@t433))
% 0.47/0.63  (step @p545 :rule aci_norm :args ((= @t434 @t433)))
% 0.47/0.63  (step @p546 :rule trans :premises (@p545 @p544))
% 0.47/0.63  (step @p547 :rule cong :premises (@p546) :args ((forall @t105 @t434)))
% 0.47/0.63  (step @p548 :rule trans :premises (@p547 @p539))
% 0.47/0.63  (step @p549 :rule trans :premises (@p548 @p538))
% 0.47/0.63  (step @p550 :rule bool-and-de-morgan :args (@t103 @t102 true))
% 0.47/0.63  (step @p551 :rule cong :premises (@p550) :args (@t435))
% 0.47/0.63  (step @p552 :rule trans :premises (@p551 @p549))
% 0.47/0.63  (step @p553 :rule cong :premises (@p552) :args (@t436))
% 0.47/0.63  (step @p554 :rule trans :premises (@p553 @p531))
% 0.47/0.63  (step @p555 :rule exists-elim :args ((= @t106 @t436)))
% 0.47/0.63  (step @p556 :rule trans :premises (@p555 @p554))
% 0.47/0.63  (step @p557 :rule bool-and-de-morgan :args (@t110 @t109 true))
% 0.47/0.63  (step @p558 :rule cong :premises (@p557) :args (@t437))
% 0.47/0.63  (step @p559 :rule cong :premises (@p558) :args (@t438))
% 0.47/0.63  (step @p560 :rule exists-elim :args ((= @t113 @t438)))
% 0.47/0.63  (step @p561 :rule trans :premises (@p560 @p559))
% 0.47/0.63  (step @p562 :rule nary_cong :premises (@p561 @p556) :args (@t114))
% 0.47/0.63  (step @p563 :rule cong :premises (@p562) :args (@t116))
% 0.47/0.63  (step @p564 :rule trans :premises (@p563 @p530))
% 0.47/0.63  (step @p565 :rule cong :premises (@p564) :args (@t117))
% 0.47/0.63  (step @p566 :rule eq_resolve :premises (@p9 @p565))
% 0.47/0.63  (step @p567 :rule instantiate :premises (@p566) :args (@t236))
% 0.47/0.63  (step @p568 :rule skolemize :premises (@p567))
% 0.47/0.63  (step @p569 :rule bool-double-not-elim :args (@t442))
% 0.47/0.63  (step @p570 :rule refl :args (@t448))
% 0.47/0.63  (step @p571 :rule nary_cong :premises (@p570 @p569) :args ((or @t448 (not @t443))))
% 0.47/0.63  (step @p572 :rule cnf_or_neg :args (@t448 2))
% 0.47/0.63  (step @p573 :rule eq_resolve :premises (@p572 @p571))
% 0.47/0.63  (step @p574 :rule reordering :premises (@p573) :args ((or @t442 @t448)))
% 0.47/0.63  (step @p575 :rule chain_m_resolution :premises (@p574 @p568) :args (@t442 @t187 @t449))
% 0.47/0.63  (step @p576 :rule true_intro :premises (@p575))
% 0.47/0.63  (step @p577 :rule eq-symm :args (@t440 @t173))
% 0.47/0.63  (step @p578 :rule refl :args (@t446))
% 0.47/0.63  (step @p579 :rule nary_cong :premises (@p578 @p577) :args (@t450))
% 0.47/0.63  (step @p580 :rule refl :args (@t447))
% 0.47/0.63  (step @p581 :rule nary_cong :premises (@p580 @p579) :args (@t451))
% 0.47/0.63  (step @p582 :rule cong :premises (@p258 @p581) :args ((=> @t176 @t451)))
% 0.47/0.63  (assume-push @p770 @t176)
% 0.47/0.63  (step @p584 :rule instantiate :premises (@p252) :args ((@list @t440)))
% 0.47/0.63  (step-pop @p771 :rule scope :premises (@p584))
% 0.47/0.63  (step @p585 :rule process_scope :premises (@p771) :args (@t451))
% 0.47/0.63  (step @p587 :rule eq_resolve :premises (@p585 @p582))
% 0.47/0.63  (step @p588 :rule implies_elim :premises (@p587))
% 0.47/0.63  (step @p589 :rule chain_m_resolution :premises (@p588 @p252) :args (@t454 @t277 @t278))
% 0.47/0.63  (step @p590 :rule bool-double-not-elim :args (@t446))
% 0.47/0.63  (step @p591 :rule nary_cong :premises (@p570 @p590) :args ((or @t448 (not @t447))))
% 0.47/0.63  (step @p592 :rule cnf_or_neg :args (@t448 0))
% 0.47/0.63  (step @p593 :rule eq_resolve :premises (@p592 @p591))
% 0.47/0.63  (step @p594 :rule reordering :premises (@p593) :args ((or @t446 @t448)))
% 0.47/0.63  (step @p595 :rule chain_m_resolution :premises (@p594 @p568) :args (@t446 @t187 @t449))
% 0.47/0.63  (step @p596 :rule cnf_or_pos :args (@t454))
% 0.47/0.63  (step @p597 :rule reordering :premises (@p596) :args ((or @t447 @t453 (not @t454))))
% 0.47/0.63  (step @p598 :rule chain_m_resolution :premises (@p597 @p595 @p589) :args (@t453 @t279 (@list @t446 @t454)))
% 0.47/0.63  (step @p599 :rule cnf_and_pos :args (@t453 1))
% 0.47/0.63  (step @p600 :rule reordering :premises (@p599) :args ((or @t452 (not @t453))))
% 0.47/0.63  (step @p601 :rule chain_m_resolution :premises (@p600 @p598) :args (@t452 @t277 (@list @t453)))
% 0.47/0.63  (step @p602 :rule eq-symm :args (@t441 @t173))
% 0.47/0.63  (step @p603 :rule refl :args (@t444))
% 0.47/0.63  (step @p604 :rule nary_cong :premises (@p603 @p602) :args (@t455))
% 0.47/0.63  (step @p605 :rule refl :args (@t445))
% 0.47/0.63  (step @p606 :rule nary_cong :premises (@p605 @p604) :args (@t456))
% 0.47/0.63  (step @p607 :rule cong :premises (@p258 @p606) :args ((=> @t176 @t456)))
% 0.47/0.63  (assume-push @p772 @t176)
% 0.47/0.63  (step @p609 :rule instantiate :premises (@p252) :args ((@list @t441)))
% 0.47/0.63  (step-pop @p773 :rule scope :premises (@p609))
% 0.47/0.63  (step @p610 :rule process_scope :premises (@p773) :args (@t456))
% 0.47/0.63  (step @p612 :rule eq_resolve :premises (@p610 @p607))
% 0.47/0.63  (step @p613 :rule implies_elim :premises (@p612))
% 0.47/0.63  (step @p614 :rule chain_m_resolution :premises (@p613 @p252) :args (@t459 @t277 @t278))
% 0.47/0.63  (step @p615 :rule bool-double-not-elim :args (@t444))
% 0.47/0.63  (step @p616 :rule nary_cong :premises (@p570 @p615) :args ((or @t448 (not @t445))))
% 0.47/0.63  (step @p617 :rule cnf_or_neg :args (@t448 1))
% 0.47/0.63  (step @p618 :rule eq_resolve :premises (@p617 @p616))
% 0.47/0.63  (step @p619 :rule reordering :premises (@p618) :args ((or @t444 @t448)))
% 0.47/0.63  (step @p620 :rule chain_m_resolution :premises (@p619 @p568) :args (@t444 @t187 @t449))
% 0.47/0.63  (step @p621 :rule cnf_or_pos :args (@t459))
% 0.47/0.63  (step @p622 :rule reordering :premises (@p621) :args ((or @t445 @t458 (not @t459))))
% 0.47/0.63  (step @p623 :rule chain_m_resolution :premises (@p622 @p620 @p614) :args (@t458 @t279 (@list @t444 @t459)))
% 0.47/0.63  (step @p624 :rule cnf_and_pos :args (@t458 1))
% 0.47/0.63  (step @p625 :rule reordering :premises (@p624) :args ((or @t457 (not @t458))))
% 0.47/0.63  (step @p626 :rule chain_m_resolution :premises (@p625 @p623) :args (@t457 @t277 (@list @t458)))
% 0.47/0.63  (step @p627 :rule cong :premises (@p246 @p626 @p601) :args (@t460))
% 0.47/0.63  (step @p628 :rule trans :premises (@p627 @p576))
% 0.47/0.63  (step @p629 :rule true_elim :premises (@p628))
% 0.47/0.63  (step @p630 :rule cnf_or_pos :args (@t464))
% 0.47/0.63  (step @p631 :rule reordering :premises (@p630) :args ((or @t463 @t462 (not @t464))))
% 0.47/0.63  (step @p632 :rule chain_m_resolution :premises (@p631 @p629 @p509) :args (@t462 @t279 (@list @t460 @t464)))
% 0.47/0.63  (step @p633 :rule cnf_and_pos :args (@t462 1))
% 0.47/0.63  (step @p634 :rule reordering :premises (@p633) :args ((or @t461 (not @t462))))
% 0.47/0.63  (step @p635 :rule chain_m_resolution :premises (@p634 @p632) :args (@t461 @t277 (@list @t462)))
% 0.47/0.63  (step @p636 :rule trans :premises (@p635 @p508))
% 0.47/0.63  (step @p637 :rule cong :premises (@p636 @p246 @p401) :args (@t290))
% 0.47/0.63  (step @p638 :rule trans :premises (@p637 @p400))
% 0.47/0.63  (step @p639 :rule true_elim :premises (@p638))
% 0.47/0.63  (step @p640 :rule cnf_or_pos :args (@t296))
% 0.47/0.63  (step @p641 :rule reordering :premises (@p640) :args ((or @t292 @t295 (not @t296))))
% 0.47/0.63  (step @p642 :rule chain_m_resolution :premises (@p641 @p639 @p302) :args (@t295 @t279 (@list @t290 @t296)))
% 0.47/0.63  (step @p643 :rule cnf_and_pos :args (@t295 1))
% 0.47/0.63  (step @p644 :rule reordering :premises (@p643) :args ((or @t294 (not @t295))))
% 0.47/0.63  (step @p645 :rule chain_m_resolution :premises (@p644 @p642) :args (@t294 @t277 (@list @t295)))
% 0.47/0.63  (step @p646 :rule symm :premises (@p645))
% 0.47/0.63  (step @p647 :rule trans :premises (@p646 @p288))
% 0.47/0.63  (step @p648 :rule cong :premises (@p647) :args (@t465))
% 0.47/0.63  (step @p649 :rule bool-double-not-elim :args ((forall @t476 @t475)))
% 0.47/0.63  (step @p650 :rule aci_norm :args ((= @t478 @t475)))
% 0.47/0.63  (step @p651 :rule cong :premises (@p650) :args (@t479))
% 0.47/0.63  (step @p652 :rule quant-merge-prenex :args ((= (forall @t139 @t481) @t479)))
% 0.47/0.63  (step @p653 :rule refl :args (@t474))
% 0.47/0.63  (step @p654 :rule alpha_equiv :args (@t482 (@list @t466 @t470 @t467) (@list @t63 @t484 @t483)))
% 0.47/0.63  (step @p655 :rule nary_cong :premises (@p654 @p653) :args (@t485))
% 0.47/0.63  (step @p656 :rule quant-miniscope-or :args ((= @t481 @t485)))
% 0.47/0.63  (step @p657 :rule trans :premises (@p656 @p655))
% 0.47/0.63  (step @p658 :rule symm :premises (@p657))
% 0.47/0.63  (step @p659 :rule cong :premises (@p658) :args ((forall @t139 (or @t492 @t474))))
% 0.47/0.63  (step @p660 :rule trans :premises (@p659 @p652))
% 0.47/0.63  (step @p661 :rule trans :premises (@p660 @p651))
% 0.47/0.63  (step @p662 :rule bool-double-not-elim :args (@t492))
% 0.47/0.63  (step @p663 :rule nary_cong :premises (@p662 @p653) :args ((or (not @t493) @t474)))
% 0.47/0.63  (step @p664 :rule bool-and-de-morgan :args (@t493 @t473 true))
% 0.47/0.63  (step @p665 :rule trans :premises (@p664 @p663))
% 0.47/0.63  (step @p666 :rule cong :premises (@p665) :args (@t495))
% 0.47/0.63  (step @p667 :rule trans :premises (@p666 @p661))
% 0.47/0.63  (step @p668 :rule cong :premises (@p667) :args (@t496))
% 0.47/0.63  (step @p669 :rule exists-elim :args ((= (exists @t139 @t494) @t496)))
% 0.47/0.63  (step @p670 :rule trans :premises (@p669 @p668))
% 0.47/0.63  (step @p671 :rule bool-double-not-elim :args (@t473))
% 0.47/0.63  (step @p672 :rule aci_norm :args ((= (or @t474 false) @t474)))
% 0.47/0.63  (step @p673 :rule eq-refl :args (@t120))
% 0.47/0.63  (step @p674 :rule cong :premises (@p673) :args (@t497))
% 0.47/0.63  (step @p675 :rule trans :premises (@p674 @p26))
% 0.47/0.63  (step @p676 :rule refl :args (@t474))
% 0.47/0.63  (step @p677 :rule nary_cong :premises (@p676 @p675) :args (@t498))
% 0.47/0.63  (step @p678 :rule trans :premises (@p677 @p672))
% 0.47/0.63  (step @p679 :rule quant-var-elim-eq :args ((= (forall @t57 @t502) @t498)))
% 0.47/0.63  (step @p680 :rule aci_norm :args ((= @t503 @t502)))
% 0.47/0.63  (step @p681 :rule cong :premises (@p680) :args ((forall @t57 @t503)))
% 0.47/0.63  (step @p682 :rule trans :premises (@p681 @p679))
% 0.47/0.63  (step @p683 :rule trans :premises (@p682 @p678))
% 0.47/0.63  (step @p684 :rule bool-and-de-morgan :args (@t125 @t499 true))
% 0.47/0.63  (step @p685 :rule cong :premises (@p684) :args (@t505))
% 0.47/0.63  (step @p686 :rule trans :premises (@p685 @p683))
% 0.47/0.63  (step @p687 :rule cong :premises (@p686) :args (@t506))
% 0.47/0.63  (step @p688 :rule trans :premises (@p687 @p671))
% 0.47/0.63  (step @p689 :rule exists-elim :args ((= (exists @t57 @t504) @t506)))
% 0.47/0.63  (step @p690 :rule trans :premises (@p689 @p688))
% 0.47/0.63  (step @p691 :rule eq-symm :args (@t120 @t55))
% 0.47/0.63  (step @p692 :rule refl :args (@t125))
% 0.47/0.63  (step @p693 :rule nary_cong :premises (@p692 @p691) :args (@t126))
% 0.47/0.63  (step @p694 :rule cong :premises (@p693) :args (@t127))
% 0.47/0.63  (step @p695 :rule trans :premises (@p694 @p690))
% 0.47/0.63  (step @p696 :rule aci_norm :args ((= @t509 @t490)))
% 0.47/0.63  (step @p697 :rule cong :premises (@p696) :args (@t510))
% 0.47/0.63  (step @p698 :rule quant-merge-prenex :args ((= (forall @t80 @t511) @t510)))
% 0.47/0.63  (step @p699 :rule alpha_equiv :args (@t512 (@list @t483) (@list @t54)))
% 0.47/0.63  (step @p700 :rule alpha_equiv :args (@t513 (@list @t484) (@list @t68)))
% 0.47/0.63  (step @p701 :rule nary_cong :premises (@p700 @p699) :args (@t514))
% 0.47/0.63  (step @p702 :rule quant-miniscope-or :args ((= @t511 @t514)))
% 0.47/0.63  (step @p703 :rule trans :premises (@p702 @p701))
% 0.47/0.63  (step @p704 :rule symm :premises (@p703))
% 0.47/0.63  (step @p705 :rule cong :premises (@p704) :args ((forall @t80 (or @t516 @t515))))
% 0.47/0.63  (step @p706 :rule trans :premises (@p705 @p698))
% 0.47/0.63  (step @p707 :rule trans :premises (@p706 @p697))
% 0.47/0.63  (step @p708 :rule bool-double-not-elim :args (@t515))
% 0.47/0.63  (step @p709 :rule bool-double-not-elim :args (@t516))
% 0.47/0.63  (step @p710 :rule nary_cong :premises (@p709 @p708) :args ((or (not @t518) (not @t517))))
% 0.47/0.63  (step @p711 :rule bool-and-de-morgan :args (@t518 @t517 true))
% 0.47/0.63  (step @p712 :rule trans :premises (@p711 @p710))
% 0.47/0.63  (step @p713 :rule cong :premises (@p712) :args (@t520))
% 0.47/0.63  (step @p714 :rule trans :premises (@p713 @p707))
% 0.47/0.63  (step @p715 :rule cong :premises (@p714) :args (@t521))
% 0.47/0.63  (step @p716 :rule exists-elim :args ((= (exists @t80 @t519) @t521)))
% 0.47/0.63  (step @p717 :rule trans :premises (@p716 @p715))
% 0.47/0.63  (step @p718 :rule bool-and-de-morgan :args (@t129 @t128 true))
% 0.47/0.63  (step @p719 :rule cong :premises (@p718) :args (@t522))
% 0.47/0.63  (step @p720 :rule cong :premises (@p719) :args (@t523))
% 0.47/0.63  (step @p721 :rule exists-elim :args ((= @t131 @t523)))
% 0.47/0.63  (step @p722 :rule trans :premises (@p721 @p720))
% 0.47/0.63  (step @p723 :rule bool-and-de-morgan :args (@t133 @t132 true))
% 0.47/0.63  (step @p724 :rule cong :premises (@p723) :args (@t524))
% 0.47/0.63  (step @p725 :rule cong :premises (@p724) :args (@t525))
% 0.47/0.63  (step @p726 :rule exists-elim :args ((= @t135 @t525)))
% 0.47/0.63  (step @p727 :rule trans :premises (@p726 @p725))
% 0.47/0.63  (step @p728 :rule nary_cong :premises (@p727 @p722) :args (@t136))
% 0.47/0.63  (step @p729 :rule cong :premises (@p728) :args (@t137))
% 0.47/0.63  (step @p730 :rule trans :premises (@p729 @p717))
% 0.47/0.63  (step @p731 :rule nary_cong :premises (@p730 @p695) :args (@t138))
% 0.47/0.63  (step @p732 :rule cong :premises (@p731) :args (@t140))
% 0.47/0.63  (step @p733 :rule trans :premises (@p732 @p670))
% 0.47/0.63  (step @p734 :rule cong :premises (@p733) :args (@t141))
% 0.47/0.63  (step @p735 :rule trans :premises (@p734 @p649))
% 0.47/0.63  (step @p736 :rule eq_resolve :premises (@p12 @p735))
% 0.47/0.63  (step @p737 :rule instantiate :premises (@p736) :args ((@list @t289 @t353 @t173 @t173)))
% 0.47/0.63  (step @p738 :rule bool-double-not-elim :args (@t354))
% 0.47/0.63  (step @p739 :rule nary_cong :premises (@p394 @p738) :args ((or @t358 (not @t355))))
% 0.47/0.63  (step @p740 :rule cnf_or_neg :args (@t358 1))
% 0.47/0.63  (step @p741 :rule eq_resolve :premises (@p740 @p739))
% 0.47/0.63  (step @p742 :rule reordering :premises (@p741) :args ((or @t354 @t358)))
% 0.47/0.63  (step @p743 :rule chain_m_resolution :premises (@p742 @p392) :args (@t354 @t187 @t359))
% 0.47/0.63  (step @p744 :rule bool-double-not-elim :args (@t356))
% 0.47/0.63  (step @p745 :rule nary_cong :premises (@p394 @p744) :args ((or @t358 (not @t357))))
% 0.47/0.63  (step @p746 :rule cnf_or_neg :args (@t358 0))
% 0.47/0.63  (step @p747 :rule eq_resolve :premises (@p746 @p745))
% 0.47/0.63  (step @p748 :rule reordering :premises (@p747) :args ((or @t356 @t358)))
% 0.47/0.63  (step @p749 :rule chain_m_resolution :premises (@p748 @p392) :args (@t356 @t187 @t359))
% 0.47/0.63  (step @p750 :rule cnf_or_pos :args (@t527))
% 0.47/0.63  (step @p751 :rule factoring :premises (@p750))
% 0.47/0.63  (step @p752 :rule reordering :premises (@p751) :args ((or @t175 @t357 @t355 @t526 (not @t527))))
% 0.47/0.63  (step @p753 :rule chain_m_resolution :premises (@p752 @p94 @p749 @p743 @p737) :args (@t526 (@list false false false false) (@list @t174 @t356 @t354 @t527)))
% 0.47/0.63  (step @p754 :rule false_intro :premises (@p753))
% 0.47/0.63  (step @p755 :rule symm :premises (@p754))
% 0.47/0.63  (step @p756 :rule trans :premises (@p755 @p648 @p95))
% 0.47/0.63  (step @p757 false :rule eq_resolve :premises (@p756 @p14))
% 0.47/0.63  )
% 0.47/0.63  % SZS output end Proof
% 0.47/0.63  % cvc5 exiting
%------------------------------------------------------------------------------