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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : NUN085+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 : n001.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 0.45s 0.65s
% Output   : Proof 0.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUN085+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
% 0.16/0.34  % Computer : n001.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 12:42:50 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.31/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.45/0.65  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.45/0.65  % SZS status Theorem
% 0.45/0.65  % SZS output start Proof
% 0.45/0.65  (
% 0.45/0.65  (declare-sort $$unsorted 0)
% 0.45/0.65  (declare-const tptp.r4 (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.45/0.65  (declare-const tptp.r3 (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.45/0.65  (declare-const tptp.r2 (-> $$unsorted $$unsorted Bool))
% 0.45/0.65  (declare-const tptp.r1 (-> $$unsorted Bool))
% 0.45/0.65  (define @t1 () (@var "Y24" $$unsorted))
% 0.45/0.65  (define @t2 () (@var "X19" $$unsorted))
% 0.45/0.65  (define @t3 () (= @t2 @t1))
% 0.45/0.65  (define @t4 () (tptp.r1 @t2))
% 0.45/0.65  (define @t5 () (and @t4 @t3))
% 0.45/0.65  (define @t6 () (not @t3))
% 0.45/0.65  (define @t7 () (not @t4))
% 0.45/0.65  (define @t8 () (and @t7 @t6))
% 0.45/0.65  (define @t9 () (or @t8 @t5))
% 0.45/0.65  (define @t10 () (@list @t2))
% 0.45/0.65  (define @t11 () (forall @t10 @t9))
% 0.45/0.65  (define @t12 () (@list @t1))
% 0.45/0.65  (define @t13 () (exists @t12 @t11))
% 0.45/0.65  (define @t14 () (@var "Y21" $$unsorted))
% 0.45/0.65  (define @t15 () (@var "X12" $$unsorted))
% 0.45/0.65  (define @t16 () (= @t15 @t14))
% 0.45/0.65  (define @t17 () (@var "X11" $$unsorted))
% 0.45/0.65  (define @t18 () (tptp.r2 @t17 @t15))
% 0.45/0.65  (define @t19 () (and @t18 @t16))
% 0.45/0.65  (define @t20 () (not @t16))
% 0.45/0.65  (define @t21 () (not @t18))
% 0.45/0.65  (define @t22 () (and @t21 @t20))
% 0.45/0.65  (define @t23 () (or @t22 @t19))
% 0.45/0.65  (define @t24 () (@list @t15))
% 0.45/0.65  (define @t25 () (forall @t24 @t23))
% 0.45/0.65  (define @t26 () (@list @t14))
% 0.45/0.65  (define @t27 () (exists @t26 @t25))
% 0.45/0.65  (define @t28 () (forall (@list @t17) @t27))
% 0.45/0.65  (define @t29 () (@var "Y22" $$unsorted))
% 0.45/0.65  (define @t30 () (@var "X15" $$unsorted))
% 0.45/0.65  (define @t31 () (= @t30 @t29))
% 0.45/0.65  (define @t32 () (@var "X14" $$unsorted))
% 0.45/0.65  (define @t33 () (@var "X13" $$unsorted))
% 0.45/0.65  (define @t34 () (tptp.r3 @t33 @t32 @t30))
% 0.45/0.65  (define @t35 () (and @t34 @t31))
% 0.45/0.65  (define @t36 () (not @t31))
% 0.45/0.65  (define @t37 () (not @t34))
% 0.45/0.65  (define @t38 () (and @t37 @t36))
% 0.45/0.65  (define @t39 () (or @t38 @t35))
% 0.45/0.65  (define @t40 () (@list @t30))
% 0.45/0.65  (define @t41 () (forall @t40 @t39))
% 0.45/0.65  (define @t42 () (@list @t29))
% 0.45/0.65  (define @t43 () (exists @t42 @t41))
% 0.45/0.65  (define @t44 () (forall (@list @t33 @t32) @t43))
% 0.45/0.65  (define @t45 () (@var "Y23" $$unsorted))
% 0.45/0.65  (define @t46 () (@var "X18" $$unsorted))
% 0.45/0.65  (define @t47 () (= @t46 @t45))
% 0.45/0.65  (define @t48 () (@var "X17" $$unsorted))
% 0.45/0.65  (define @t49 () (@var "X16" $$unsorted))
% 0.45/0.65  (define @t50 () (tptp.r4 @t49 @t48 @t46))
% 0.45/0.65  (define @t51 () (@var "Y7" $$unsorted))
% 0.45/0.65  (define @t52 () (@var "X8" $$unsorted))
% 0.45/0.65  (define @t53 () (@var "X1" $$unsorted))
% 0.45/0.65  (define @t54 () (tptp.r3 @t53 @t52 @t51))
% 0.45/0.65  (define @t55 () (@var "Y4" $$unsorted))
% 0.45/0.65  (define @t56 () (tptp.r2 @t51 @t55))
% 0.45/0.65  (define @t57 () (and @t56 @t54))
% 0.45/0.65  (define @t58 () (@list @t51))
% 0.45/0.65  (define @t59 () (exists @t58 @t57))
% 0.45/0.65  (define @t60 () (@var "Y5" $$unsorted))
% 0.45/0.65  (define @t61 () (= @t60 @t55))
% 0.45/0.65  (define @t62 () (@var "Y15" $$unsorted))
% 0.45/0.65  (define @t63 () (tptp.r3 @t53 @t62 @t60))
% 0.45/0.65  (define @t64 () (tptp.r2 @t52 @t62))
% 0.45/0.65  (define @t65 () (and @t64 @t63))
% 0.45/0.65  (define @t66 () (@list @t62))
% 0.45/0.65  (define @t67 () (exists @t66 @t65))
% 0.45/0.65  (define @t68 () (and @t67 @t61))
% 0.45/0.65  (define @t69 () (@list @t60))
% 0.45/0.65  (define @t70 () (exists @t69 @t68))
% 0.45/0.65  (define @t71 () (and @t70 @t59))
% 0.45/0.65  (define @t72 () (@list @t55))
% 0.45/0.65  (define @t73 () (exists @t72 @t71))
% 0.45/0.65  (define @t74 () (forall (@list @t53 @t52) @t73))
% 0.45/0.65  (define @t75 () (@var "Y6" $$unsorted))
% 0.45/0.65  (define @t76 () (@var "X9" $$unsorted))
% 0.45/0.65  (define @t77 () (@var "X2" $$unsorted))
% 0.45/0.65  (define @t78 () (@var "Y2" $$unsorted))
% 0.45/0.65  (define @t79 () (@var "Y3" $$unsorted))
% 0.45/0.65  (define @t80 () (@var "Y14" $$unsorted))
% 0.45/0.65  (define @t81 () (@list @t79))
% 0.45/0.65  (define @t82 () (@list @t78))
% 0.45/0.65  (define @t83 () (@var "X10" $$unsorted))
% 0.45/0.65  (define @t84 () (@var "X3" $$unsorted))
% 0.45/0.65  (define @t85 () (= @t84 @t83))
% 0.45/0.65  (define @t86 () (@var "Y12" $$unsorted))
% 0.45/0.65  (define @t87 () (not (tptp.r2 @t83 @t86)))
% 0.45/0.65  (define @t88 () (@var "Y13" $$unsorted))
% 0.45/0.65  (define @t89 () (not (= @t88 @t86)))
% 0.45/0.65  (define @t90 () (not (tptp.r2 @t84 @t88)))
% 0.45/0.65  (define @t91 () (or @t90 @t89))
% 0.45/0.65  (define @t92 () (@list @t88))
% 0.45/0.65  (define @t93 () (forall @t92 @t91))
% 0.45/0.65  (define @t94 () (or @t93 @t87))
% 0.45/0.65  (define @t95 () (@list @t86))
% 0.45/0.65  (define @t96 () (forall @t95 @t94))
% 0.45/0.65  (define @t97 () (or @t96 @t85))
% 0.45/0.65  (define @t98 () (@list @t84 @t83))
% 0.45/0.65  (define @t99 () (forall @t98 @t97))
% 0.45/0.65  (define @t100 () (@var "X4" $$unsorted))
% 0.45/0.65  (define @t101 () (@var "Y9" $$unsorted))
% 0.45/0.65  (define @t102 () (= @t101 @t100))
% 0.45/0.65  (define @t103 () (@var "Y16" $$unsorted))
% 0.45/0.65  (define @t104 () (tptp.r3 @t100 @t103 @t101))
% 0.45/0.65  (define @t105 () (tptp.r1 @t103))
% 0.45/0.65  (define @t106 () (and @t105 @t104))
% 0.45/0.65  (define @t107 () (@list @t103))
% 0.45/0.65  (define @t108 () (exists @t107 @t106))
% 0.45/0.65  (define @t109 () (and @t108 @t102))
% 0.45/0.65  (define @t110 () (@list @t101))
% 0.45/0.65  (define @t111 () (exists @t110 @t109))
% 0.45/0.65  (define @t112 () (forall (@list @t100) @t111))
% 0.45/0.65  (define @t113 () (@var "Y18" $$unsorted))
% 0.45/0.65  (define @t114 () (@var "Y8" $$unsorted))
% 0.45/0.65  (define @t115 () (@var "Y17" $$unsorted))
% 0.45/0.65  (define @t116 () (@var "X5" $$unsorted))
% 0.45/0.65  (define @t117 () (@var "Y11" $$unsorted))
% 0.45/0.65  (define @t118 () (@var "X6" $$unsorted))
% 0.45/0.65  (define @t119 () (= @t118 @t117))
% 0.45/0.65  (define @t120 () (@var "Y1" $$unsorted))
% 0.45/0.65  (define @t121 () (tptp.r2 @t120 @t117))
% 0.45/0.65  (define @t122 () (and @t121 @t119))
% 0.45/0.65  (define @t123 () (@list @t120 @t117))
% 0.45/0.65  (define @t124 () (exists @t123 @t122))
% 0.45/0.65  (define @t125 () (@var "Y19" $$unsorted))
% 0.45/0.65  (define @t126 () (= @t118 @t125))
% 0.45/0.65  (define @t127 () (tptp.r1 @t125))
% 0.45/0.65  (define @t128 () (and @t127 @t126))
% 0.45/0.65  (define @t129 () (@list @t125))
% 0.45/0.65  (define @t130 () (exists @t129 @t128))
% 0.45/0.65  (define @t131 () (or @t130 @t124))
% 0.45/0.65  (define @t132 () (forall (@list @t118) @t131))
% 0.45/0.65  (define @t133 () (@var "Y10" $$unsorted))
% 0.45/0.65  (define @t134 () (@var "X7" $$unsorted))
% 0.45/0.65  (define @t135 () (not (tptp.r2 @t134 @t133)))
% 0.45/0.65  (define @t136 () (@var "Y20" $$unsorted))
% 0.45/0.65  (define @t137 () (not (= @t136 @t133)))
% 0.45/0.65  (define @t138 () (not (tptp.r1 @t136)))
% 0.45/0.65  (define @t139 () (or @t138 @t137))
% 0.45/0.65  (define @t140 () (@list @t136))
% 0.45/0.65  (define @t141 () (forall @t140 @t139))
% 0.45/0.65  (define @t142 () (or @t141 @t135))
% 0.45/0.65  (define @t143 () (forall (@list @t134 @t133) @t142))
% 0.45/0.65  (define @t144 () (not (tptp.r1 @t60)))
% 0.45/0.65  (define @t145 () (not (= @t120 @t60)))
% 0.45/0.65  (define @t146 () (or @t145 @t144))
% 0.45/0.65  (define @t147 () (forall @t69 @t146))
% 0.45/0.65  (define @t148 () (forall @t82 (or (forall @t81 (or (not (tptp.r1 @t79)) (not (tptp.r3 @t79 @t78 @t120)))) (forall @t72 (or (not (tptp.r1 @t55)) (not (tptp.r2 @t55 @t78)))))))
% 0.45/0.65  (define @t149 () (or @t148 @t147))
% 0.45/0.65  (define @t150 () (@list @t120))
% 0.45/0.65  (define @t151 () (forall @t150 @t149))
% 0.45/0.65  (define @t152 () (not @t151))
% 0.45/0.65  (define @t153 () (@var "BOUND_VARIABLE_7646" $$unsorted))
% 0.45/0.65  (define @t154 () (tptp.r1 @t153))
% 0.45/0.65  (define @t155 () (not @t154))
% 0.45/0.65  (define @t156 () (@list @t153))
% 0.45/0.65  (define @t157 () (forall @t156 (or @t155 (and @t154 (= @t1 @t153)))))
% 0.45/0.65  (define @t158 () (tptp.r1 @t1))
% 0.45/0.65  (define @t159 () (and @t157 @t158))
% 0.45/0.65  (define @t160 () (forall @t12 (not @t159)))
% 0.45/0.65  (define @t161 () (not @t160))
% 0.45/0.65  (define @t162 () (= @t1 @t1))
% 0.45/0.65  (define @t163 () (and @t158 @t162))
% 0.45/0.65  (define @t164 () (not @t162))
% 0.45/0.65  (define @t165 () (or @t164 @t163))
% 0.45/0.65  (define @t166 () (@var "BOUND_VARIABLE_7655" $$unsorted))
% 0.45/0.65  (define @t167 () (= @t1 @t166))
% 0.45/0.65  (define @t168 () (and (tptp.r1 @t166) @t167))
% 0.45/0.65  (define @t169 () (not @t167))
% 0.45/0.65  (define @t170 () (@list @t166))
% 0.45/0.65  (define @t171 () (or @t169 @t169 @t168))
% 0.45/0.65  (define @t172 () (or @t169 @t168))
% 0.45/0.65  (define @t173 () (forall @t170 @t172))
% 0.45/0.65  (define @t174 () (= @t1 @t2))
% 0.45/0.65  (define @t175 () (and @t4 @t174))
% 0.45/0.65  (define @t176 () (not @t174))
% 0.45/0.65  (define @t177 () (or @t176 @t175))
% 0.45/0.65  (define @t178 () (forall @t10 @t177))
% 0.45/0.65  (define @t179 () (@list @t2))
% 0.45/0.65  (define @t180 () (or @t7 @t175))
% 0.45/0.65  (define @t181 () (forall @t10 @t180))
% 0.45/0.65  (define @t182 () (and @t181 @t178))
% 0.45/0.65  (define @t183 () (forall @t12 (or (not @t157) (not @t158))))
% 0.45/0.65  (define @t184 () (@quantifiers_skolemize @t183 0))
% 0.45/0.65  (define @t185 () (tptp.r1 @t184))
% 0.45/0.65  (define @t186 () (not @t185))
% 0.45/0.65  (define @t187 () (forall @t156 (or @t155 (and @t154 (= @t153 @t184)))))
% 0.45/0.65  (define @t188 () (not @t187))
% 0.45/0.65  (define @t189 () (or @t188 @t186))
% 0.45/0.65  (define @t190 () (not @t189))
% 0.45/0.65  (define @t191 () (not @t183))
% 0.45/0.65  (define @t192 () (and @t154 (= @t184 @t153)))
% 0.45/0.65  (define @t193 () (or @t155 @t192))
% 0.45/0.65  (define @t194 () (forall @t156 @t193))
% 0.45/0.65  (define @t195 () (not @t194))
% 0.45/0.65  (define @t196 () (or @t195 @t186))
% 0.45/0.65  (define @t197 () (not @t196))
% 0.45/0.65  (define @t198 () (@list true))
% 0.45/0.65  (define @t199 () (@list @t189))
% 0.45/0.65  (define @t200 () (@var "BOUND_VARIABLE_8169" $$unsorted))
% 0.45/0.65  (define @t201 () (@var "BOUND_VARIABLE_8173" $$unsorted))
% 0.45/0.65  (define @t202 () (not (tptp.r2 @t201 @t200)))
% 0.45/0.65  (define @t203 () (not (tptp.r1 @t201)))
% 0.45/0.65  (define @t204 () (@var "BOUND_VARIABLE_8171" $$unsorted))
% 0.45/0.65  (define @t205 () (not (tptp.r3 @t204 @t200 @t120)))
% 0.45/0.65  (define @t206 () (not (tptp.r1 @t204)))
% 0.45/0.65  (define @t207 () (not (tptp.r1 @t120)))
% 0.45/0.65  (define @t208 () (or @t207 @t206 @t205 @t203 @t202))
% 0.45/0.65  (define @t209 () (@list @t120 @t200 @t204 @t201))
% 0.45/0.65  (define @t210 () (forall @t209 @t208))
% 0.45/0.65  (define @t211 () (@quantifiers_skolemize @t210 0))
% 0.45/0.65  (define @t212 () (tptp.r1 @t211))
% 0.45/0.65  (define @t213 () (and @t212 (= @t211 @t184)))
% 0.45/0.65  (define @t214 () (not @t212))
% 0.45/0.65  (define @t215 () (or @t214 @t213))
% 0.45/0.65  (define @t216 () (@list @t211))
% 0.45/0.65  (define @t217 () (= @t184 @t211))
% 0.45/0.65  (define @t218 () (and @t212 @t217))
% 0.45/0.65  (define @t219 () (or @t214 @t218))
% 0.45/0.65  (define @t220 () (@list false))
% 0.45/0.65  (define @t221 () (@list @t187))
% 0.45/0.65  (define @t222 () (or @t206 @t205 @t203 @t202))
% 0.45/0.65  (define @t223 () (or @t222 @t207))
% 0.45/0.65  (define @t224 () (forall @t209 @t223))
% 0.45/0.65  (define @t225 () (@list @t200 @t204 @t201))
% 0.45/0.65  (define @t226 () (forall @t225 @t223))
% 0.45/0.65  (define @t227 () (forall @t225 @t222))
% 0.45/0.65  (define @t228 () (@var "BOUND_VARIABLE_8145" $$unsorted))
% 0.45/0.65  (define @t229 () (@var "BOUND_VARIABLE_8138" $$unsorted))
% 0.45/0.65  (define @t230 () (or @t227 @t207))
% 0.45/0.65  (define @t231 () (not (tptp.r2 @t228 @t78)))
% 0.45/0.65  (define @t232 () (not (tptp.r1 @t228)))
% 0.45/0.65  (define @t233 () (not (tptp.r3 @t229 @t78 @t120)))
% 0.45/0.65  (define @t234 () (not (tptp.r1 @t229)))
% 0.45/0.65  (define @t235 () (or @t234 @t233 @t232 @t231))
% 0.45/0.65  (define @t236 () (@list @t78 @t229 @t228))
% 0.45/0.65  (define @t237 () (not (= @t120 @t120)))
% 0.45/0.65  (define @t238 () (or @t237 @t207))
% 0.45/0.65  (define @t239 () (not (= @t60 @t120)))
% 0.45/0.65  (define @t240 () (or @t239 @t239 @t144))
% 0.45/0.65  (define @t241 () (or @t239 @t144))
% 0.45/0.65  (define @t242 () (or @t232 @t231))
% 0.45/0.65  (define @t243 () (or @t234 @t233))
% 0.45/0.65  (define @t244 () (or @t243 @t242))
% 0.45/0.65  (define @t245 () (forall @t236 @t244))
% 0.45/0.65  (define @t246 () (forall (@list @t229 @t228) @t244))
% 0.45/0.65  (define @t247 () (forall (@list @t228) @t242))
% 0.45/0.65  (define @t248 () (forall (@list @t229) @t243))
% 0.45/0.65  (define @t249 () (or @t248 @t247))
% 0.45/0.65  (define @t250 () (@quantifiers_skolemize @t210 1))
% 0.45/0.65  (define @t251 () (@quantifiers_skolemize @t210 3))
% 0.45/0.65  (define @t252 () (tptp.r2 @t251 @t250))
% 0.45/0.65  (define @t253 () (not @t252))
% 0.45/0.65  (define @t254 () (tptp.r1 @t251))
% 0.45/0.65  (define @t255 () (not @t254))
% 0.45/0.65  (define @t256 () (@quantifiers_skolemize @t210 2))
% 0.45/0.65  (define @t257 () (tptp.r3 @t256 @t250 @t211))
% 0.45/0.65  (define @t258 () (not @t257))
% 0.45/0.65  (define @t259 () (tptp.r1 @t256))
% 0.45/0.65  (define @t260 () (not @t259))
% 0.45/0.65  (define @t261 () (or @t214 @t260 @t258 @t255 @t253))
% 0.45/0.65  (define @t262 () (@list @t261))
% 0.45/0.65  (define @t263 () (@list false false))
% 0.45/0.65  (define @t264 () (@var "BOUND_VARIABLE_7741" $$unsorted))
% 0.45/0.65  (define @t265 () (= @t29 @t264))
% 0.45/0.65  (define @t266 () (tptp.r3 @t33 @t32 @t264))
% 0.45/0.65  (define @t267 () (@list @t264))
% 0.45/0.65  (define @t268 () (forall @t267 (or (not @t266) (and @t266 @t265))))
% 0.45/0.65  (define @t269 () (tptp.r3 @t33 @t32 @t29))
% 0.45/0.65  (define @t270 () (and @t268 @t269))
% 0.45/0.65  (define @t271 () (forall @t42 (not @t270)))
% 0.45/0.65  (define @t272 () (not @t271))
% 0.45/0.65  (define @t273 () (= @t29 @t29))
% 0.45/0.65  (define @t274 () (and @t269 @t273))
% 0.45/0.65  (define @t275 () (not @t273))
% 0.45/0.65  (define @t276 () (or @t275 @t274))
% 0.45/0.65  (define @t277 () (@var "BOUND_VARIABLE_7750" $$unsorted))
% 0.45/0.65  (define @t278 () (= @t29 @t277))
% 0.45/0.65  (define @t279 () (and (tptp.r3 @t33 @t32 @t277) @t278))
% 0.45/0.65  (define @t280 () (not @t278))
% 0.45/0.65  (define @t281 () (@list @t277))
% 0.45/0.65  (define @t282 () (or @t280 @t280 @t279))
% 0.45/0.65  (define @t283 () (or @t280 @t279))
% 0.45/0.65  (define @t284 () (forall @t281 @t283))
% 0.45/0.65  (define @t285 () (= @t29 @t30))
% 0.45/0.65  (define @t286 () (and @t34 @t285))
% 0.45/0.65  (define @t287 () (not @t285))
% 0.45/0.65  (define @t288 () (or @t287 @t286))
% 0.45/0.65  (define @t289 () (forall @t40 @t288))
% 0.45/0.65  (define @t290 () (@list @t30))
% 0.45/0.65  (define @t291 () (or @t37 @t286))
% 0.45/0.65  (define @t292 () (forall @t40 @t291))
% 0.45/0.65  (define @t293 () (and @t292 @t289))
% 0.45/0.65  (define @t294 () (tptp.r3 @t184 @t250 @t264))
% 0.45/0.65  (define @t295 () (not @t294))
% 0.45/0.65  (define @t296 () (forall @t42 (or (not (forall @t267 (or @t295 (and @t294 @t265)))) (not (tptp.r3 @t184 @t250 @t29)))))
% 0.45/0.65  (define @t297 () (@quantifiers_skolemize @t296 0))
% 0.45/0.65  (define @t298 () (not (tptp.r3 @t184 @t250 @t297)))
% 0.45/0.65  (define @t299 () (forall @t267 (or @t295 (and @t294 (= @t264 @t297)))))
% 0.45/0.65  (define @t300 () (not @t299))
% 0.45/0.65  (define @t301 () (or @t300 @t298))
% 0.45/0.65  (define @t302 () (not @t301))
% 0.45/0.65  (define @t303 () (not @t296))
% 0.45/0.65  (define @t304 () (and @t294 (= @t297 @t264)))
% 0.45/0.65  (define @t305 () (or @t295 @t304))
% 0.45/0.65  (define @t306 () (forall @t267 @t305))
% 0.45/0.65  (define @t307 () (not @t306))
% 0.45/0.65  (define @t308 () (or @t307 @t298))
% 0.45/0.65  (define @t309 () (not @t308))
% 0.45/0.65  (define @t310 () (and @t259 (= @t256 @t184)))
% 0.45/0.65  (define @t311 () (or @t260 @t310))
% 0.45/0.65  (define @t312 () (= @t184 @t256))
% 0.45/0.65  (define @t313 () (and @t259 @t312))
% 0.45/0.65  (define @t314 () (or @t260 @t313))
% 0.45/0.65  (define @t315 () (tptp.r3 @t184 @t250 @t211))
% 0.45/0.65  (define @t316 () (= @t211 @t297))
% 0.45/0.65  (define @t317 () (and @t315 @t316))
% 0.45/0.65  (define @t318 () (not @t315))
% 0.45/0.65  (define @t319 () (or @t318 @t317))
% 0.45/0.65  (define @t320 () (@var "BOUND_VARIABLE_7889" $$unsorted))
% 0.45/0.65  (define @t321 () (not (tptp.r2 @t320 @t55)))
% 0.45/0.65  (define @t322 () (@var "BOUND_VARIABLE_7882" $$unsorted))
% 0.45/0.65  (define @t323 () (@list @t55 @t322 @t320))
% 0.45/0.65  (define @t324 () (forall @t323 (or (not (tptp.r2 @t184 @t322)) (not (tptp.r3 @t184 @t322 @t55)) @t321 (not (tptp.r3 @t184 @t184 @t320)))))
% 0.45/0.65  (define @t325 () (@quantifiers_skolemize @t324 0))
% 0.45/0.65  (define @t326 () (@list @t325))
% 0.45/0.65  (define @t327 () (not (tptp.r3 @t53 @t52 @t320)))
% 0.45/0.65  (define @t328 () (not (tptp.r3 @t53 @t322 @t55)))
% 0.45/0.65  (define @t329 () (not (tptp.r2 @t52 @t322)))
% 0.45/0.65  (define @t330 () (or @t321 @t327))
% 0.45/0.65  (define @t331 () (or @t329 @t328))
% 0.45/0.65  (define @t332 () (or @t331 @t330))
% 0.45/0.65  (define @t333 () (forall @t323 @t332))
% 0.45/0.65  (define @t334 () (forall (@list @t322 @t320) @t332))
% 0.45/0.65  (define @t335 () (forall (@list @t320) @t330))
% 0.45/0.65  (define @t336 () (forall (@list @t322) @t331))
% 0.45/0.65  (define @t337 () (@var "BOUND_VARIABLE_7844" $$unsorted))
% 0.45/0.65  (define @t338 () (@list @t337))
% 0.45/0.65  (define @t339 () (or @t336 @t335))
% 0.45/0.65  (define @t340 () (forall @t58 (or (not @t56) (not @t54))))
% 0.45/0.65  (define @t341 () (not (tptp.r3 @t53 @t337 @t55)))
% 0.45/0.65  (define @t342 () (not (tptp.r2 @t52 @t337)))
% 0.45/0.65  (define @t343 () (or @t342 @t341))
% 0.45/0.65  (define @t344 () (@list @t337))
% 0.45/0.65  (define @t345 () (forall @t344 @t343))
% 0.45/0.65  (define @t346 () (not @t340))
% 0.45/0.65  (define @t347 () (not @t345))
% 0.45/0.65  (define @t348 () (and @t347 @t346))
% 0.45/0.65  (define @t349 () (forall @t72 (not @t348)))
% 0.45/0.65  (define @t350 () (not @t349))
% 0.45/0.65  (define @t351 () (forall @t58 (not @t57)))
% 0.45/0.65  (define @t352 () (not @t351))
% 0.45/0.65  (define @t353 () (not (= @t55 @t55)))
% 0.45/0.65  (define @t354 () (or @t353 @t342 @t341))
% 0.45/0.65  (define @t355 () (not (tptp.r3 @t53 @t337 @t60)))
% 0.45/0.65  (define @t356 () (= @t55 @t60))
% 0.45/0.65  (define @t357 () (not @t356))
% 0.45/0.65  (define @t358 () (or @t357 @t357 @t342 @t355))
% 0.45/0.65  (define @t359 () (or @t357 @t342 @t355))
% 0.45/0.65  (define @t360 () (forall @t69 @t359))
% 0.45/0.65  (define @t361 () (forall @t344 @t360))
% 0.45/0.65  (define @t362 () (forall (@list @t337 @t60) @t359))
% 0.45/0.65  (define @t363 () (@list @t60 @t337))
% 0.45/0.65  (define @t364 () (or @t342 @t355))
% 0.45/0.65  (define @t365 () (or @t364 @t357))
% 0.45/0.65  (define @t366 () (forall @t363 @t365))
% 0.45/0.65  (define @t367 () (forall @t344 @t365))
% 0.45/0.65  (define @t368 () (forall @t344 @t364))
% 0.45/0.65  (define @t369 () (or @t368 @t357))
% 0.45/0.65  (define @t370 () (forall @t66 (or (not @t64) (not @t63))))
% 0.45/0.65  (define @t371 () (not @t370))
% 0.45/0.65  (define @t372 () (and @t371 @t356))
% 0.45/0.65  (define @t373 () (forall @t69 (not @t372)))
% 0.45/0.65  (define @t374 () (not @t373))
% 0.45/0.65  (define @t375 () (forall @t66 (not @t65)))
% 0.45/0.65  (define @t376 () (not @t375))
% 0.45/0.65  (define @t377 () (@list @t184 @t184))
% 0.45/0.65  (define @t378 () (@quantifiers_skolemize @t324 1))
% 0.45/0.65  (define @t379 () (tptp.r3 @t184 @t378 @t325))
% 0.45/0.65  (define @t380 () (@quantifiers_skolemize @t324 2))
% 0.45/0.65  (define @t381 () (tptp.r3 @t184 @t184 @t380))
% 0.45/0.65  (define @t382 () (not @t381))
% 0.45/0.65  (define @t383 () (tptp.r2 @t380 @t325))
% 0.45/0.65  (define @t384 () (not @t383))
% 0.45/0.65  (define @t385 () (not @t379))
% 0.45/0.65  (define @t386 () (tptp.r2 @t184 @t378))
% 0.45/0.65  (define @t387 () (not @t386))
% 0.45/0.65  (define @t388 () (or @t387 @t385 @t384 @t382))
% 0.45/0.65  (define @t389 () (@list @t388))
% 0.45/0.65  (define @t390 () (@var "BOUND_VARIABLE_7693" $$unsorted))
% 0.45/0.65  (define @t391 () (= @t14 @t390))
% 0.45/0.65  (define @t392 () (tptp.r2 @t17 @t390))
% 0.45/0.65  (define @t393 () (@list @t390))
% 0.45/0.65  (define @t394 () (forall @t393 (or (not @t392) (and @t392 @t391))))
% 0.45/0.65  (define @t395 () (tptp.r2 @t17 @t14))
% 0.45/0.65  (define @t396 () (and @t394 @t395))
% 0.45/0.65  (define @t397 () (forall @t26 (not @t396)))
% 0.45/0.65  (define @t398 () (not @t397))
% 0.45/0.65  (define @t399 () (= @t14 @t14))
% 0.45/0.65  (define @t400 () (and @t395 @t399))
% 0.45/0.65  (define @t401 () (not @t399))
% 0.45/0.65  (define @t402 () (or @t401 @t400))
% 0.45/0.65  (define @t403 () (@var "BOUND_VARIABLE_7702" $$unsorted))
% 0.45/0.65  (define @t404 () (= @t14 @t403))
% 0.45/0.65  (define @t405 () (and (tptp.r2 @t17 @t403) @t404))
% 0.45/0.65  (define @t406 () (not @t404))
% 0.45/0.65  (define @t407 () (@list @t403))
% 0.45/0.65  (define @t408 () (or @t406 @t406 @t405))
% 0.45/0.65  (define @t409 () (or @t406 @t405))
% 0.45/0.65  (define @t410 () (forall @t407 @t409))
% 0.45/0.65  (define @t411 () (= @t14 @t15))
% 0.45/0.65  (define @t412 () (and @t18 @t411))
% 0.45/0.65  (define @t413 () (not @t411))
% 0.45/0.65  (define @t414 () (or @t413 @t412))
% 0.45/0.65  (define @t415 () (forall @t24 @t414))
% 0.45/0.65  (define @t416 () (@list @t15))
% 0.45/0.65  (define @t417 () (or @t21 @t412))
% 0.45/0.65  (define @t418 () (forall @t24 @t417))
% 0.45/0.65  (define @t419 () (and @t418 @t415))
% 0.45/0.65  (define @t420 () (@list @t184))
% 0.45/0.65  (define @t421 () (tptp.r2 @t184 @t390))
% 0.45/0.65  (define @t422 () (not @t421))
% 0.45/0.65  (define @t423 () (forall @t26 (or (not (forall @t393 (or @t422 (and @t421 @t391)))) (not (tptp.r2 @t184 @t14)))))
% 0.45/0.65  (define @t424 () (@quantifiers_skolemize @t423 0))
% 0.45/0.65  (define @t425 () (tptp.r2 @t184 @t424))
% 0.45/0.65  (define @t426 () (not @t425))
% 0.45/0.65  (define @t427 () (forall @t393 (or @t422 (and @t421 (= @t390 @t424)))))
% 0.45/0.65  (define @t428 () (not @t427))
% 0.45/0.65  (define @t429 () (or @t428 @t426))
% 0.45/0.65  (define @t430 () (not @t429))
% 0.45/0.65  (define @t431 () (not @t423))
% 0.45/0.65  (define @t432 () (and @t421 (= @t424 @t390)))
% 0.45/0.65  (define @t433 () (or @t422 @t432))
% 0.45/0.65  (define @t434 () (forall @t393 @t433))
% 0.45/0.65  (define @t435 () (not @t434))
% 0.45/0.65  (define @t436 () (or @t435 @t426))
% 0.45/0.65  (define @t437 () (not @t436))
% 0.45/0.65  (define @t438 () (@list @t429))
% 0.45/0.65  (define @t439 () (and @t386 (= @t378 @t424)))
% 0.45/0.65  (define @t440 () (or @t387 @t439))
% 0.45/0.65  (define @t441 () (= @t424 @t378))
% 0.45/0.65  (define @t442 () (and @t386 @t441))
% 0.45/0.65  (define @t443 () (or @t387 @t442))
% 0.45/0.65  (define @t444 () (@list @t427))
% 0.45/0.65  (define @t445 () (@list @t250))
% 0.45/0.65  (define @t446 () (not (tptp.r2 @t120 @t118)))
% 0.45/0.65  (define @t447 () (not (= @t118 @t118)))
% 0.45/0.65  (define @t448 () (or @t446 @t447))
% 0.45/0.65  (define @t449 () (not @t119))
% 0.45/0.65  (define @t450 () (not @t121))
% 0.45/0.65  (define @t451 () (@list @t117))
% 0.45/0.65  (define @t452 () (or @t449 @t450 @t449))
% 0.45/0.65  (define @t453 () (or @t450 @t449))
% 0.45/0.65  (define @t454 () (forall @t451 @t453))
% 0.45/0.65  (define @t455 () (forall @t150 @t454))
% 0.45/0.65  (define @t456 () (forall @t123 (not @t122)))
% 0.45/0.65  (define @t457 () (not @t456))
% 0.45/0.65  (define @t458 () (tptp.r1 @t118))
% 0.45/0.65  (define @t459 () (not @t458))
% 0.45/0.65  (define @t460 () (or @t459 @t447))
% 0.45/0.65  (define @t461 () (not @t126))
% 0.45/0.65  (define @t462 () (not @t127))
% 0.45/0.65  (define @t463 () (or @t461 @t462 @t461))
% 0.45/0.65  (define @t464 () (or @t462 @t461))
% 0.45/0.65  (define @t465 () (forall @t129 (not @t128)))
% 0.45/0.65  (define @t466 () (not @t465))
% 0.45/0.65  (define @t467 () (not (tptp.r1 @t133)))
% 0.45/0.65  (define @t468 () (not (= @t133 @t133)))
% 0.45/0.65  (define @t469 () (or @t467 @t468))
% 0.45/0.65  (define @t470 () (not (= @t133 @t136)))
% 0.45/0.65  (define @t471 () (or @t470 @t138 @t470))
% 0.45/0.65  (define @t472 () (or @t138 @t470))
% 0.45/0.65  (define @t473 () (tptp.r1 @t250))
% 0.45/0.65  (define @t474 () (not @t473))
% 0.45/0.65  (define @t475 () (or @t474 @t253))
% 0.45/0.65  (define @t476 () (forall @t150 (not (tptp.r2 @t120 @t250))))
% 0.45/0.65  (define @t477 () (not @t476))
% 0.45/0.65  (define @t478 () (or @t473 @t477))
% 0.45/0.65  (define @t479 () (@quantifiers_skolemize @t476 0))
% 0.45/0.65  (define @t480 () (tptp.r2 @t479 @t250))
% 0.45/0.65  (define @t481 () (not @t480))
% 0.45/0.65  (define @t482 () (not @t481))
% 0.45/0.65  (define @t483 () (@var "BOUND_VARIABLE_7995" $$unsorted))
% 0.45/0.65  (define @t484 () (not (tptp.r2 @t83 @t483)))
% 0.45/0.65  (define @t485 () (not (tptp.r2 @t84 @t483)))
% 0.45/0.65  (define @t486 () (or @t485 @t484))
% 0.45/0.65  (define @t487 () (or @t486 @t85))
% 0.45/0.65  (define @t488 () (forall (@list @t84 @t83 @t483) @t487))
% 0.45/0.65  (define @t489 () (@list @t483))
% 0.45/0.65  (define @t490 () (forall @t489 @t487))
% 0.45/0.65  (define @t491 () (forall @t489 @t486))
% 0.45/0.65  (define @t492 () (or @t491 @t85))
% 0.45/0.65  (define @t493 () (not (tptp.r2 @t84 @t86)))
% 0.45/0.65  (define @t494 () (not (= @t86 @t86)))
% 0.45/0.65  (define @t495 () (or @t493 @t494))
% 0.45/0.65  (define @t496 () (not (= @t86 @t88)))
% 0.45/0.65  (define @t497 () (or @t496 @t90 @t496))
% 0.45/0.65  (define @t498 () (or @t90 @t496))
% 0.45/0.65  (define @t499 () (= @t251 @t479))
% 0.45/0.65  (define @t500 () (or @t499 @t253 @t481))
% 0.45/0.65  (define @t501 () (and @t254 (= @t251 @t184)))
% 0.45/0.65  (define @t502 () (or @t255 @t501))
% 0.45/0.65  (define @t503 () (= @t184 @t251))
% 0.45/0.65  (define @t504 () (and @t254 @t503))
% 0.45/0.65  (define @t505 () (or @t255 @t504))
% 0.45/0.65  (define @t506 () (tptp.r2 @t184 @t250))
% 0.45/0.65  (define @t507 () (= @t250 @t424))
% 0.45/0.65  (define @t508 () (and @t506 @t507))
% 0.45/0.65  (define @t509 () (not @t506))
% 0.45/0.65  (define @t510 () (or @t509 @t508))
% 0.45/0.65  (define @t511 () (tptp.r3 @t184 @t250 @t325))
% 0.45/0.65  (define @t512 () (= @t325 @t297))
% 0.45/0.65  (define @t513 () (and @t511 @t512))
% 0.45/0.65  (define @t514 () (not @t511))
% 0.45/0.65  (define @t515 () (or @t514 @t513))
% 0.45/0.65  (define @t516 () (tptp.r2 @t184 @t325))
% 0.45/0.65  (define @t517 () (and @t516 (= @t325 @t424)))
% 0.45/0.65  (define @t518 () (not @t516))
% 0.45/0.65  (define @t519 () (or @t518 @t517))
% 0.45/0.65  (define @t520 () (= @t424 @t325))
% 0.45/0.65  (define @t521 () (and @t516 @t520))
% 0.45/0.65  (define @t522 () (or @t518 @t521))
% 0.45/0.65  (define @t523 () (tptp.r3 @t184 @t184 @t264))
% 0.45/0.65  (define @t524 () (not @t523))
% 0.45/0.65  (define @t525 () (forall @t42 (or (not (forall @t267 (or @t524 (and @t523 @t265)))) (not (tptp.r3 @t184 @t184 @t29)))))
% 0.45/0.65  (define @t526 () (@quantifiers_skolemize @t525 0))
% 0.45/0.65  (define @t527 () (not (tptp.r3 @t184 @t184 @t526)))
% 0.45/0.65  (define @t528 () (forall @t267 (or @t524 (and @t523 (= @t264 @t526)))))
% 0.45/0.65  (define @t529 () (not @t528))
% 0.45/0.65  (define @t530 () (or @t529 @t527))
% 0.45/0.65  (define @t531 () (not @t530))
% 0.45/0.65  (define @t532 () (not @t525))
% 0.45/0.65  (define @t533 () (and @t523 (= @t526 @t264)))
% 0.45/0.65  (define @t534 () (or @t524 @t533))
% 0.45/0.65  (define @t535 () (forall @t267 @t534))
% 0.45/0.65  (define @t536 () (not @t535))
% 0.45/0.65  (define @t537 () (or @t536 @t527))
% 0.45/0.65  (define @t538 () (not @t537))
% 0.45/0.65  (define @t539 () (and @t381 (= @t380 @t526)))
% 0.45/0.65  (define @t540 () (or @t382 @t539))
% 0.45/0.65  (define @t541 () (= @t526 @t380))
% 0.45/0.65  (define @t542 () (and @t381 @t541))
% 0.45/0.65  (define @t543 () (or @t382 @t542))
% 0.45/0.65  (define @t544 () (@var "BOUND_VARIABLE_8025" $$unsorted))
% 0.45/0.65  (define @t545 () (not (tptp.r3 @t100 @t544 @t100)))
% 0.45/0.65  (define @t546 () (not (tptp.r1 @t544)))
% 0.45/0.65  (define @t547 () (not (= @t100 @t100)))
% 0.45/0.65  (define @t548 () (or @t547 @t546 @t545))
% 0.45/0.65  (define @t549 () (@list @t544))
% 0.45/0.65  (define @t550 () (not (tptp.r3 @t100 @t544 @t101)))
% 0.45/0.65  (define @t551 () (= @t100 @t101))
% 0.45/0.65  (define @t552 () (not @t551))
% 0.45/0.65  (define @t553 () (or @t552 @t552 @t546 @t550))
% 0.45/0.65  (define @t554 () (or @t552 @t546 @t550))
% 0.45/0.65  (define @t555 () (forall @t110 @t554))
% 0.45/0.65  (define @t556 () (forall @t549 @t555))
% 0.45/0.65  (define @t557 () (forall (@list @t544 @t101) @t554))
% 0.45/0.65  (define @t558 () (@list @t101 @t544))
% 0.45/0.65  (define @t559 () (or @t546 @t550))
% 0.45/0.65  (define @t560 () (or @t559 @t552))
% 0.45/0.65  (define @t561 () (forall @t558 @t560))
% 0.45/0.65  (define @t562 () (forall @t549 @t560))
% 0.45/0.65  (define @t563 () (forall @t549 @t559))
% 0.45/0.65  (define @t564 () (or @t563 @t552))
% 0.45/0.65  (define @t565 () (forall @t107 (or (not @t105) (not @t104))))
% 0.45/0.65  (define @t566 () (not @t565))
% 0.45/0.65  (define @t567 () (and @t566 @t551))
% 0.45/0.65  (define @t568 () (forall @t110 (not @t567)))
% 0.45/0.65  (define @t569 () (not @t568))
% 0.45/0.65  (define @t570 () (forall @t107 (not @t106)))
% 0.45/0.65  (define @t571 () (not @t570))
% 0.45/0.65  (define @t572 () (@quantifiers_skolemize (forall @t549 (or @t546 (not (tptp.r3 @t184 @t544 @t184)))) 0))
% 0.45/0.65  (define @t573 () (tptp.r3 @t184 @t572 @t184))
% 0.45/0.65  (define @t574 () (not @t573))
% 0.45/0.65  (define @t575 () (tptp.r1 @t572))
% 0.45/0.65  (define @t576 () (not @t575))
% 0.45/0.65  (define @t577 () (or @t576 @t574))
% 0.45/0.65  (define @t578 () (@list @t577))
% 0.45/0.65  (define @t579 () (and @t575 (= @t572 @t184)))
% 0.45/0.65  (define @t580 () (or @t576 @t579))
% 0.45/0.65  (define @t581 () (= @t184 @t572))
% 0.45/0.65  (define @t582 () (and @t575 @t581))
% 0.45/0.65  (define @t583 () (or @t576 @t582))
% 0.45/0.65  (define @t584 () (tptp.r3 @t184 @t184 @t184))
% 0.45/0.65  (define @t585 () (= @t184 @t526))
% 0.45/0.65  (define @t586 () (and @t584 @t585))
% 0.45/0.65  (define @t587 () (not @t584))
% 0.45/0.65  (define @t588 () (or @t587 @t586))
% 0.45/0.65  (define @t589 () (tptp.r1 @t424))
% 0.45/0.65  (define @t590 () (not @t589))
% 0.45/0.65  (define @t591 () (or @t590 @t426))
% 0.45/0.65  (assume @p1 @t13)
% 0.45/0.65  (assume @p2 @t28)
% 0.45/0.65  (assume @p3 @t44)
% 0.45/0.65  (assume @p4 (forall (@list @t49 @t48) (exists (@list @t45) (forall (@list @t46) (or (and (not @t50) (not @t47)) (and @t50 @t47))))))
% 0.45/0.65  (assume @p5 @t74)
% 0.45/0.65  (assume @p6 (forall (@list @t77 @t76) (exists @t82 (and (exists @t81 (and (exists (@list @t80) (and (tptp.r2 @t76 @t80) (tptp.r4 @t77 @t80 @t79))) (= @t79 @t78))) (exists (@list @t75) (and (tptp.r3 @t75 @t77 @t78) (tptp.r4 @t77 @t76 @t75)))))))
% 0.45/0.65  (assume @p7 @t99)
% 0.45/0.65  (assume @p8 @t112)
% 0.45/0.65  (assume @p9 (forall (@list @t116) (exists (@list @t114) (and (exists (@list @t115) (and (tptp.r1 @t115) (tptp.r4 @t116 @t115 @t114))) (exists (@list @t113) (and (tptp.r1 @t113) (= @t114 @t113)))))))
% 0.45/0.65  (assume @p10 @t132)
% 0.45/0.65  (assume @p11 @t143)
% 0.45/0.65  (assume @p12 @t152)
% 0.45/0.65  (assume @p13 true)
% 0.45/0.65  (step @p14 :rule evaluate :args ((= false true)))
% 0.45/0.65  (step @p15 :rule bool-and-de-morgan :args (@t157 @t158 true))
% 0.45/0.65  (step @p16 :rule cong :premises (@p15) :args (@t160))
% 0.45/0.65  (step @p17 :rule cong :premises (@p16) :args (@t161))
% 0.45/0.65  (step @p18 :rule exists-elim :args ((= (exists @t12 @t159) @t161)))
% 0.45/0.65  (step @p19 :rule trans :premises (@p18 @p17))
% 0.45/0.65  (step @p20 :rule aci_norm :args ((= (or false @t158) @t158)))
% 0.45/0.65  (step @p21 :rule aci_norm :args ((= (and @t158 true) @t158)))
% 0.45/0.65  (step @p22 :rule eq-refl :args (@t1))
% 0.45/0.65  (step @p23 :rule refl :args (@t158))
% 0.45/0.65  (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t163))
% 0.45/0.65  (step @p25 :rule trans :premises (@p24 @p21))
% 0.45/0.65  (step @p26 :rule evaluate :args ((not true)))
% 0.45/0.65  (step @p27 :rule cong :premises (@p22) :args (@t164))
% 0.45/0.65  (step @p28 :rule trans :premises (@p27 @p26))
% 0.45/0.65  (step @p29 :rule nary_cong :premises (@p28 @p25) :args (@t165))
% 0.45/0.65  (step @p30 :rule trans :premises (@p29 @p20))
% 0.45/0.65  (step @p31 :rule quant-var-elim-eq :args ((= (forall @t170 (or (not (= @t166 @t1)) @t169 @t168)) @t165)))
% 0.45/0.65  (step @p32 :rule refl :args (@t168))
% 0.45/0.65  (step @p33 :rule refl :args (@t169))
% 0.45/0.65  (step @p34 :rule eq-symm :args (@t1 @t166))
% 0.45/0.65  (step @p35 :rule cong :premises (@p34) :args (@t169))
% 0.45/0.65  (step @p36 :rule nary_cong :premises (@p35 @p33 @p32) :args (@t171))
% 0.45/0.65  (step @p37 :rule aci_norm :args ((= @t172 @t171)))
% 0.45/0.65  (step @p38 :rule trans :premises (@p37 @p36))
% 0.45/0.65  (step @p39 :rule cong :premises (@p38) :args (@t173))
% 0.45/0.65  (step @p40 :rule trans :premises (@p39 @p31))
% 0.45/0.65  (step @p41 :rule trans :premises (@p40 @p30))
% 0.45/0.65  (step @p42 :rule refl :args (@t157))
% 0.45/0.65  (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((and @t157 @t173)))
% 0.45/0.65  (step @p44 :rule alpha_equiv :args (@t178 @t179 (@list @t166)))
% 0.45/0.65  (step @p45 :rule alpha_equiv :args (@t181 @t179 (@list @t153)))
% 0.45/0.65  (step @p46 :rule nary_cong :premises (@p45 @p44) :args (@t182))
% 0.45/0.65  (step @p47 :rule quant-miniscope-and :args ((= (forall @t10 (and @t180 @t177)) @t182)))
% 0.45/0.65  (step @p48 :rule trans :premises (@p47 @p46))
% 0.45/0.65  (step @p49 :rule trans :premises (@p48 @p43))
% 0.45/0.65  (step @p50 :rule bool-or-and-distrib :args (@t7 @t176 true @t175 false))
% 0.45/0.65  (step @p51 :rule cong :premises (@p50) :args ((forall @t10 (or (and @t7 @t176) @t175))))
% 0.45/0.65  (step @p52 :rule trans :premises (@p51 @p49))
% 0.45/0.65  (step @p53 :rule eq-symm :args (@t2 @t1))
% 0.45/0.65  (step @p54 :rule refl :args (@t4))
% 0.45/0.65  (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t5))
% 0.45/0.65  (step @p56 :rule cong :premises (@p53) :args (@t6))
% 0.45/0.65  (step @p57 :rule refl :args (@t7))
% 0.45/0.65  (step @p58 :rule nary_cong :premises (@p57 @p56) :args (@t8))
% 0.45/0.65  (step @p59 :rule nary_cong :premises (@p58 @p55) :args (@t9))
% 0.45/0.65  (step @p60 :rule cong :premises (@p59) :args (@t11))
% 0.45/0.65  (step @p61 :rule trans :premises (@p60 @p52))
% 0.45/0.65  (step @p62 :rule cong :premises (@p61) :args (@t13))
% 0.45/0.65  (step @p63 :rule trans :premises (@p62 @p19))
% 0.45/0.65  (step @p64 :rule eq_resolve :premises (@p1 @p63))
% 0.45/0.65  (step @p65 :rule refl :args (@t190))
% 0.45/0.65  (step @p66 :rule bool-double-not-elim :args (@t183))
% 0.45/0.65  (step @p67 :rule nary_cong :premises (@p66 @p65) :args ((or (not @t191) @t190)))
% 0.45/0.65  (step @p68 :rule refl :args (@t186))
% 0.45/0.65  (step @p69 :rule eq-symm :args (@t184 @t153))
% 0.45/0.65  (step @p70 :rule refl :args (@t154))
% 0.45/0.65  (step @p71 :rule nary_cong :premises (@p70 @p69) :args (@t192))
% 0.45/0.65  (step @p72 :rule refl :args (@t155))
% 0.45/0.65  (step @p73 :rule nary_cong :premises (@p72 @p71) :args (@t193))
% 0.45/0.65  (step @p74 :rule cong :premises (@p73) :args (@t194))
% 0.45/0.65  (step @p75 :rule cong :premises (@p74) :args (@t195))
% 0.45/0.65  (step @p76 :rule nary_cong :premises (@p75 @p68) :args (@t196))
% 0.45/0.65  (step @p77 :rule cong :premises (@p76) :args (@t197))
% 0.45/0.65  (step @p78 :rule refl :args (@t191))
% 0.45/0.65  (step @p79 :rule cong :premises (@p78 @p77) :args ((=> @t191 @t197)))
% 0.45/0.65  (assume-push @p926 @t191)
% 0.45/0.65  (step @p81 :rule skolemize :premises (@p64))
% 0.45/0.65  (step-pop @p927 :rule scope :premises (@p81))
% 0.45/0.65  (step @p82 :rule process_scope :premises (@p927) :args (@t197))
% 0.45/0.65  (step @p84 :rule eq_resolve :premises (@p82 @p79))
% 0.45/0.65  (step @p85 :rule implies_elim :premises (@p84))
% 0.45/0.65  (step @p86 :rule eq_resolve :premises (@p85 @p67))
% 0.45/0.65  (step @p87 :rule chain_m_resolution :premises (@p86 @p64) :args (@t190 @t198 (@list @t183)))
% 0.45/0.65  (step @p88 :rule bool-double-not-elim :args (@t185))
% 0.45/0.65  (step @p89 :rule refl :args (@t189))
% 0.45/0.65  (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or @t189 (not @t186))))
% 0.45/0.65  (step @p91 :rule cnf_or_neg :args (@t189 1))
% 0.45/0.65  (step @p92 :rule eq_resolve :premises (@p91 @p90))
% 0.45/0.65  (step @p93 :rule reordering :premises (@p92) :args ((or @t185 @t189)))
% 0.45/0.65  (step @p94 :rule chain_m_resolution :premises (@p93 @p87) :args (@t185 @t198 @t199))
% 0.45/0.65  (step @p95 :rule true_intro :premises (@p94))
% 0.45/0.65  (step @p96 :rule bool-double-not-elim :args (@t187))
% 0.45/0.65  (step @p97 :rule nary_cong :premises (@p89 @p96) :args ((or @t189 (not @t188))))
% 0.45/0.65  (step @p98 :rule cnf_or_neg :args (@t189 0))
% 0.45/0.65  (step @p99 :rule eq_resolve :premises (@p98 @p97))
% 0.45/0.65  (step @p100 :rule reordering :premises (@p99) :args ((or @t187 @t189)))
% 0.45/0.65  (step @p101 :rule chain_m_resolution :premises (@p100 @p87) :args (@t187 @t198 @t199))
% 0.45/0.65  (step @p102 :rule eq-symm :args (@t211 @t184))
% 0.45/0.65  (step @p103 :rule refl :args (@t212))
% 0.45/0.65  (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t213))
% 0.45/0.65  (step @p105 :rule refl :args (@t214))
% 0.45/0.65  (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t215))
% 0.45/0.65  (step @p107 :rule refl :args (@t187))
% 0.45/0.65  (step @p108 :rule cong :premises (@p107 @p106) :args ((=> @t187 @t215)))
% 0.45/0.65  (assume-push @p928 @t187)
% 0.45/0.65  (step @p110 :rule instantiate :premises (@p101) :args (@t216))
% 0.45/0.65  (step-pop @p929 :rule scope :premises (@p110))
% 0.45/0.65  (step @p111 :rule process_scope :premises (@p929) :args (@t215))
% 0.45/0.65  (step @p113 :rule eq_resolve :premises (@p111 @p108))
% 0.45/0.65  (step @p114 :rule implies_elim :premises (@p113))
% 0.45/0.65  (step @p115 :rule chain_m_resolution :premises (@p114 @p101) :args (@t219 @t220 @t221))
% 0.45/0.65  (step @p116 :rule aci_norm :args ((= @t223 @t208)))
% 0.45/0.65  (step @p117 :rule cong :premises (@p116) :args (@t224))
% 0.45/0.65  (step @p118 :rule quant-merge-prenex :args ((= (forall @t150 @t226) @t224)))
% 0.45/0.65  (step @p119 :rule refl :args (@t207))
% 0.45/0.65  (step @p120 :rule alpha_equiv :args (@t227 (@list @t200 @t204 @t201) (@list @t78 @t229 @t228)))
% 0.45/0.65  (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t230))
% 0.45/0.65  (step @p122 :rule quant-miniscope-or :args ((= @t226 @t230)))
% 0.45/0.65  (step @p123 :rule trans :premises (@p122 @p121))
% 0.45/0.65  (step @p124 :rule symm :premises (@p123))
% 0.45/0.65  (step @p125 :rule cong :premises (@p124) :args ((forall @t150 (or (forall @t236 @t235) @t207))))
% 0.45/0.65  (step @p126 :rule trans :premises (@p125 @p118))
% 0.45/0.65  (step @p127 :rule trans :premises (@p126 @p117))
% 0.45/0.65  (step @p128 :rule aci_norm :args ((= (or false @t207) @t207)))
% 0.45/0.65  (step @p129 :rule refl :args (@t207))
% 0.45/0.65  (step @p130 :rule eq-refl :args (@t120))
% 0.45/0.65  (step @p131 :rule cong :premises (@p130) :args (@t237))
% 0.45/0.65  (step @p132 :rule trans :premises (@p131 @p26))
% 0.45/0.65  (step @p133 :rule nary_cong :premises (@p132 @p129) :args (@t238))
% 0.45/0.65  (step @p134 :rule trans :premises (@p133 @p128))
% 0.45/0.65  (step @p135 :rule quant-var-elim-eq :args ((= (forall @t69 @t240) @t238)))
% 0.45/0.65  (step @p136 :rule aci_norm :args ((= @t241 @t240)))
% 0.45/0.65  (step @p137 :rule cong :premises (@p136) :args ((forall @t69 @t241)))
% 0.45/0.65  (step @p138 :rule trans :premises (@p137 @p135))
% 0.45/0.65  (step @p139 :rule trans :premises (@p138 @p134))
% 0.45/0.65  (step @p140 :rule refl :args (@t144))
% 0.45/0.65  (step @p141 :rule eq-symm :args (@t120 @t60))
% 0.45/0.65  (step @p142 :rule cong :premises (@p141) :args (@t145))
% 0.45/0.65  (step @p143 :rule nary_cong :premises (@p142 @p140) :args (@t146))
% 0.45/0.65  (step @p144 :rule cong :premises (@p143) :args (@t147))
% 0.45/0.65  (step @p145 :rule trans :premises (@p144 @p139))
% 0.45/0.65  (step @p146 :rule aci_norm :args ((= @t244 @t235)))
% 0.45/0.65  (step @p147 :rule cong :premises (@p146) :args (@t245))
% 0.45/0.65  (step @p148 :rule quant-merge-prenex :args ((= (forall @t82 @t246) @t245)))
% 0.45/0.65  (step @p149 :rule alpha_equiv :args (@t247 (@list @t228) (@list @t55)))
% 0.45/0.65  (step @p150 :rule alpha_equiv :args (@t248 (@list @t229) (@list @t79)))
% 0.45/0.65  (step @p151 :rule nary_cong :premises (@p150 @p149) :args (@t249))
% 0.45/0.65  (step @p152 :rule quant-miniscope-or :args ((= @t246 @t249)))
% 0.45/0.65  (step @p153 :rule trans :premises (@p152 @p151))
% 0.45/0.65  (step @p154 :rule symm :premises (@p153))
% 0.45/0.65  (step @p155 :rule cong :premises (@p154) :args (@t148))
% 0.45/0.65  (step @p156 :rule trans :premises (@p155 @p148))
% 0.45/0.65  (step @p157 :rule trans :premises (@p156 @p147))
% 0.45/0.65  (step @p158 :rule nary_cong :premises (@p157 @p145) :args (@t149))
% 0.45/0.65  (step @p159 :rule cong :premises (@p158) :args (@t151))
% 0.45/0.65  (step @p160 :rule trans :premises (@p159 @p127))
% 0.45/0.65  (step @p161 :rule cong :premises (@p160) :args (@t152))
% 0.45/0.65  (step @p162 :rule eq_resolve :premises (@p12 @p161))
% 0.45/0.65  (step @p163 :rule skolemize :premises (@p162))
% 0.45/0.65  (step @p164 :rule bool-double-not-elim :args (@t212))
% 0.45/0.65  (step @p165 :rule refl :args (@t261))
% 0.45/0.65  (step @p166 :rule nary_cong :premises (@p165 @p164) :args ((or @t261 (not @t214))))
% 0.45/0.65  (step @p167 :rule cnf_or_neg :args (@t261 0))
% 0.45/0.65  (step @p168 :rule eq_resolve :premises (@p167 @p166))
% 0.45/0.65  (step @p169 :rule reordering :premises (@p168) :args ((or @t212 @t261)))
% 0.45/0.65  (step @p170 :rule chain_m_resolution :premises (@p169 @p163) :args (@t212 @t198 @t262))
% 0.45/0.65  (step @p171 :rule cnf_or_pos :args (@t219))
% 0.45/0.65  (step @p172 :rule reordering :premises (@p171) :args ((or @t214 @t218 (not @t219))))
% 0.45/0.65  (step @p173 :rule chain_m_resolution :premises (@p172 @p170 @p115) :args (@t218 @t263 (@list @t212 @t219)))
% 0.45/0.65  (step @p174 :rule cnf_and_pos :args (@t218 1))
% 0.45/0.65  (step @p175 :rule reordering :premises (@p174) :args ((or @t217 (not @t218))))
% 0.45/0.65  (step @p176 :rule chain_m_resolution :premises (@p175 @p173) :args (@t217 @t220 (@list @t218)))
% 0.45/0.65  (step @p177 :rule symm :premises (@p176))
% 0.45/0.65  (step @p178 :rule bool-and-de-morgan :args (@t268 @t269 true))
% 0.45/0.65  (step @p179 :rule cong :premises (@p178) :args (@t271))
% 0.45/0.65  (step @p180 :rule cong :premises (@p179) :args (@t272))
% 0.45/0.65  (step @p181 :rule exists-elim :args ((= (exists @t42 @t270) @t272)))
% 0.45/0.65  (step @p182 :rule trans :premises (@p181 @p180))
% 0.45/0.65  (step @p183 :rule aci_norm :args ((= (or false @t269) @t269)))
% 0.45/0.65  (step @p184 :rule aci_norm :args ((= (and @t269 true) @t269)))
% 0.45/0.65  (step @p185 :rule eq-refl :args (@t29))
% 0.45/0.65  (step @p186 :rule refl :args (@t269))
% 0.45/0.65  (step @p187 :rule nary_cong :premises (@p186 @p185) :args (@t274))
% 0.45/0.65  (step @p188 :rule trans :premises (@p187 @p184))
% 0.45/0.65  (step @p189 :rule cong :premises (@p185) :args (@t275))
% 0.45/0.65  (step @p190 :rule trans :premises (@p189 @p26))
% 0.45/0.65  (step @p191 :rule nary_cong :premises (@p190 @p188) :args (@t276))
% 0.45/0.65  (step @p192 :rule trans :premises (@p191 @p183))
% 0.45/0.65  (step @p193 :rule quant-var-elim-eq :args ((= (forall @t281 (or (not (= @t277 @t29)) @t280 @t279)) @t276)))
% 0.45/0.65  (step @p194 :rule refl :args (@t279))
% 0.45/0.65  (step @p195 :rule refl :args (@t280))
% 0.45/0.65  (step @p196 :rule eq-symm :args (@t29 @t277))
% 0.45/0.65  (step @p197 :rule cong :premises (@p196) :args (@t280))
% 0.45/0.65  (step @p198 :rule nary_cong :premises (@p197 @p195 @p194) :args (@t282))
% 0.45/0.65  (step @p199 :rule aci_norm :args ((= @t283 @t282)))
% 0.45/0.65  (step @p200 :rule trans :premises (@p199 @p198))
% 0.45/0.65  (step @p201 :rule cong :premises (@p200) :args (@t284))
% 0.45/0.65  (step @p202 :rule trans :premises (@p201 @p193))
% 0.45/0.65  (step @p203 :rule trans :premises (@p202 @p192))
% 0.45/0.65  (step @p204 :rule refl :args (@t268))
% 0.45/0.65  (step @p205 :rule nary_cong :premises (@p204 @p203) :args ((and @t268 @t284)))
% 0.45/0.65  (step @p206 :rule alpha_equiv :args (@t289 @t290 (@list @t277)))
% 0.45/0.65  (step @p207 :rule alpha_equiv :args (@t292 @t290 (@list @t264)))
% 0.45/0.65  (step @p208 :rule nary_cong :premises (@p207 @p206) :args (@t293))
% 0.45/0.65  (step @p209 :rule quant-miniscope-and :args ((= (forall @t40 (and @t291 @t288)) @t293)))
% 0.45/0.65  (step @p210 :rule trans :premises (@p209 @p208))
% 0.45/0.65  (step @p211 :rule trans :premises (@p210 @p205))
% 0.45/0.65  (step @p212 :rule bool-or-and-distrib :args (@t37 @t287 true @t286 false))
% 0.45/0.65  (step @p213 :rule cong :premises (@p212) :args ((forall @t40 (or (and @t37 @t287) @t286))))
% 0.45/0.65  (step @p214 :rule trans :premises (@p213 @p211))
% 0.45/0.65  (step @p215 :rule eq-symm :args (@t30 @t29))
% 0.45/0.65  (step @p216 :rule refl :args (@t34))
% 0.45/0.65  (step @p217 :rule nary_cong :premises (@p216 @p215) :args (@t35))
% 0.45/0.65  (step @p218 :rule cong :premises (@p215) :args (@t36))
% 0.45/0.65  (step @p219 :rule refl :args (@t37))
% 0.45/0.65  (step @p220 :rule nary_cong :premises (@p219 @p218) :args (@t38))
% 0.45/0.65  (step @p221 :rule nary_cong :premises (@p220 @p217) :args (@t39))
% 0.45/0.65  (step @p222 :rule cong :premises (@p221) :args (@t41))
% 0.45/0.65  (step @p223 :rule trans :premises (@p222 @p214))
% 0.45/0.65  (step @p224 :rule cong :premises (@p223) :args (@t43))
% 0.45/0.65  (step @p225 :rule trans :premises (@p224 @p182))
% 0.45/0.65  (step @p226 :rule cong :premises (@p225) :args (@t44))
% 0.45/0.65  (step @p227 :rule eq_resolve :premises (@p3 @p226))
% 0.45/0.65  (step @p228 :rule instantiate :premises (@p227) :args ((@list @t184 @t250)))
% 0.45/0.65  (step @p229 :rule refl :args (@t302))
% 0.45/0.65  (step @p230 :rule bool-double-not-elim :args (@t296))
% 0.45/0.65  (step @p231 :rule nary_cong :premises (@p230 @p229) :args ((or (not @t303) @t302)))
% 0.45/0.65  (step @p232 :rule refl :args (@t298))
% 0.45/0.65  (step @p233 :rule eq-symm :args (@t297 @t264))
% 0.45/0.65  (step @p234 :rule refl :args (@t294))
% 0.45/0.65  (step @p235 :rule nary_cong :premises (@p234 @p233) :args (@t304))
% 0.45/0.65  (step @p236 :rule refl :args (@t295))
% 0.45/0.65  (step @p237 :rule nary_cong :premises (@p236 @p235) :args (@t305))
% 0.45/0.65  (step @p238 :rule cong :premises (@p237) :args (@t306))
% 0.45/0.65  (step @p239 :rule cong :premises (@p238) :args (@t307))
% 0.45/0.65  (step @p240 :rule nary_cong :premises (@p239 @p232) :args (@t308))
% 0.45/0.65  (step @p241 :rule cong :premises (@p240) :args (@t309))
% 0.45/0.65  (step @p242 :rule refl :args (@t303))
% 0.45/0.65  (step @p243 :rule cong :premises (@p242 @p241) :args ((=> @t303 @t309)))
% 0.45/0.65  (assume-push @p930 @t303)
% 0.45/0.65  (step @p245 :rule skolemize :premises (@p228))
% 0.45/0.65  (step-pop @p931 :rule scope :premises (@p245))
% 0.45/0.65  (step @p246 :rule process_scope :premises (@p931) :args (@t309))
% 0.45/0.65  (step @p248 :rule eq_resolve :premises (@p246 @p243))
% 0.45/0.65  (step @p249 :rule implies_elim :premises (@p248))
% 0.45/0.65  (step @p250 :rule eq_resolve :premises (@p249 @p231))
% 0.45/0.65  (step @p251 :rule chain_m_resolution :premises (@p250 @p228) :args (@t302 @t198 (@list @t296)))
% 0.45/0.65  (step @p252 :rule bool-double-not-elim :args (@t299))
% 0.45/0.65  (step @p253 :rule refl :args (@t301))
% 0.45/0.65  (step @p254 :rule nary_cong :premises (@p253 @p252) :args ((or @t301 (not @t300))))
% 0.45/0.65  (step @p255 :rule cnf_or_neg :args (@t301 0))
% 0.45/0.65  (step @p256 :rule eq_resolve :premises (@p255 @p254))
% 0.45/0.65  (step @p257 :rule reordering :premises (@p256) :args ((or @t299 @t301)))
% 0.45/0.65  (step @p258 :rule chain_m_resolution :premises (@p257 @p251) :args (@t299 @t198 (@list @t301)))
% 0.45/0.65  (step @p259 :rule instantiate :premises (@p258) :args (@t216))
% 0.45/0.65  (step @p260 :rule bool-double-not-elim :args (@t257))
% 0.45/0.65  (step @p261 :rule nary_cong :premises (@p165 @p260) :args ((or @t261 (not @t258))))
% 0.45/0.65  (step @p262 :rule cnf_or_neg :args (@t261 2))
% 0.45/0.65  (step @p263 :rule eq_resolve :premises (@p262 @p261))
% 0.45/0.65  (step @p264 :rule reordering :premises (@p263) :args ((or @t257 @t261)))
% 0.45/0.65  (step @p265 :rule chain_m_resolution :premises (@p264 @p163) :args (@t257 @t198 @t262))
% 0.45/0.65  (step @p266 :rule true_intro :premises (@p265))
% 0.45/0.65  (step @p267 :rule refl :args (@t211))
% 0.45/0.65  (step @p268 :rule refl :args (@t250))
% 0.45/0.65  (step @p269 :rule eq-symm :args (@t256 @t184))
% 0.45/0.65  (step @p270 :rule refl :args (@t259))
% 0.45/0.65  (step @p271 :rule nary_cong :premises (@p270 @p269) :args (@t310))
% 0.45/0.65  (step @p272 :rule refl :args (@t260))
% 0.45/0.65  (step @p273 :rule nary_cong :premises (@p272 @p271) :args (@t311))
% 0.45/0.65  (step @p274 :rule cong :premises (@p107 @p273) :args ((=> @t187 @t311)))
% 0.45/0.65  (assume-push @p932 @t187)
% 0.45/0.65  (step @p276 :rule instantiate :premises (@p101) :args ((@list @t256)))
% 0.45/0.65  (step-pop @p933 :rule scope :premises (@p276))
% 0.45/0.65  (step @p277 :rule process_scope :premises (@p933) :args (@t311))
% 0.45/0.65  (step @p279 :rule eq_resolve :premises (@p277 @p274))
% 0.45/0.65  (step @p280 :rule implies_elim :premises (@p279))
% 0.45/0.65  (step @p281 :rule chain_m_resolution :premises (@p280 @p101) :args (@t314 @t220 @t221))
% 0.45/0.65  (step @p282 :rule bool-double-not-elim :args (@t259))
% 0.45/0.65  (step @p283 :rule nary_cong :premises (@p165 @p282) :args ((or @t261 (not @t260))))
% 0.45/0.65  (step @p284 :rule cnf_or_neg :args (@t261 1))
% 0.45/0.65  (step @p285 :rule eq_resolve :premises (@p284 @p283))
% 0.45/0.65  (step @p286 :rule reordering :premises (@p285) :args ((or @t259 @t261)))
% 0.45/0.65  (step @p287 :rule chain_m_resolution :premises (@p286 @p163) :args (@t259 @t198 @t262))
% 0.45/0.65  (step @p288 :rule cnf_or_pos :args (@t314))
% 0.45/0.65  (step @p289 :rule reordering :premises (@p288) :args ((or @t260 @t313 (not @t314))))
% 0.45/0.65  (step @p290 :rule chain_m_resolution :premises (@p289 @p287 @p281) :args (@t313 @t263 (@list @t259 @t314)))
% 0.45/0.65  (step @p291 :rule cnf_and_pos :args (@t313 1))
% 0.45/0.65  (step @p292 :rule reordering :premises (@p291) :args ((or @t312 (not @t313))))
% 0.45/0.65  (step @p293 :rule chain_m_resolution :premises (@p292 @p290) :args (@t312 @t220 (@list @t313)))
% 0.45/0.65  (step @p294 :rule cong :premises (@p293 @p268 @p267) :args (@t315))
% 0.45/0.65  (step @p295 :rule trans :premises (@p294 @p266))
% 0.45/0.65  (step @p296 :rule true_elim :premises (@p295))
% 0.45/0.65  (step @p297 :rule cnf_or_pos :args (@t319))
% 0.45/0.65  (step @p298 :rule reordering :premises (@p297) :args ((or @t318 @t317 (not @t319))))
% 0.45/0.65  (step @p299 :rule chain_m_resolution :premises (@p298 @p296 @p259) :args (@t317 @t263 (@list @t315 @t319)))
% 0.45/0.65  (step @p300 :rule cnf_and_pos :args (@t317 1))
% 0.45/0.65  (step @p301 :rule reordering :premises (@p300) :args ((or @t316 (not @t317))))
% 0.45/0.65  (step @p302 :rule chain_m_resolution :premises (@p301 @p299) :args (@t316 @t220 (@list @t317)))
% 0.45/0.65  (step @p303 :rule symm :premises (@p302))
% 0.45/0.65  (step @p304 :rule instantiate :premises (@p258) :args (@t326))
% 0.45/0.65  (step @p305 :rule aci_norm :args ((= @t332 (or @t329 @t328 @t321 @t327))))
% 0.45/0.65  (step @p306 :rule cong :premises (@p305) :args (@t333))
% 0.45/0.65  (step @p307 :rule quant-merge-prenex :args ((= (forall @t72 @t334) @t333)))
% 0.45/0.65  (step @p308 :rule alpha_equiv :args (@t335 (@list @t320) (@list @t51)))
% 0.45/0.65  (step @p309 :rule alpha_equiv :args (@t336 (@list @t322) @t338))
% 0.45/0.65  (step @p310 :rule nary_cong :premises (@p309 @p308) :args (@t339))
% 0.45/0.65  (step @p311 :rule quant-miniscope-or :args ((= @t334 @t339)))
% 0.45/0.65  (step @p312 :rule trans :premises (@p311 @p310))
% 0.45/0.65  (step @p313 :rule symm :premises (@p312))
% 0.45/0.65  (step @p314 :rule cong :premises (@p313) :args ((forall @t72 (or @t345 @t340))))
% 0.45/0.65  (step @p315 :rule trans :premises (@p314 @p307))
% 0.45/0.65  (step @p316 :rule trans :premises (@p315 @p306))
% 0.45/0.65  (step @p317 :rule bool-double-not-elim :args (@t340))
% 0.45/0.65  (step @p318 :rule bool-double-not-elim :args (@t345))
% 0.45/0.65  (step @p319 :rule nary_cong :premises (@p318 @p317) :args ((or (not @t347) (not @t346))))
% 0.45/0.65  (step @p320 :rule bool-and-de-morgan :args (@t347 @t346 true))
% 0.45/0.65  (step @p321 :rule trans :premises (@p320 @p319))
% 0.45/0.65  (step @p322 :rule cong :premises (@p321) :args (@t349))
% 0.45/0.65  (step @p323 :rule trans :premises (@p322 @p316))
% 0.45/0.65  (step @p324 :rule cong :premises (@p323) :args (@t350))
% 0.45/0.65  (step @p325 :rule exists-elim :args ((= (exists @t72 @t348) @t350)))
% 0.45/0.65  (step @p326 :rule trans :premises (@p325 @p324))
% 0.45/0.65  (step @p327 :rule bool-and-de-morgan :args (@t56 @t54 true))
% 0.45/0.65  (step @p328 :rule cong :premises (@p327) :args (@t351))
% 0.45/0.65  (step @p329 :rule cong :premises (@p328) :args (@t352))
% 0.45/0.65  (step @p330 :rule exists-elim :args ((= @t59 @t352)))
% 0.45/0.65  (step @p331 :rule trans :premises (@p330 @p329))
% 0.45/0.65  (step @p332 :rule aci_norm :args ((= (or false @t342 @t341) @t343)))
% 0.45/0.65  (step @p333 :rule refl :args (@t341))
% 0.45/0.65  (step @p334 :rule refl :args (@t342))
% 0.45/0.65  (step @p335 :rule eq-refl :args (@t55))
% 0.45/0.65  (step @p336 :rule cong :premises (@p335) :args (@t353))
% 0.45/0.65  (step @p337 :rule trans :premises (@p336 @p26))
% 0.45/0.65  (step @p338 :rule nary_cong :premises (@p337 @p334 @p333) :args (@t354))
% 0.45/0.65  (step @p339 :rule trans :premises (@p338 @p332))
% 0.45/0.65  (step @p340 :rule cong :premises (@p339) :args ((forall @t344 @t354)))
% 0.45/0.65  (step @p341 :rule quant-var-elim-eq :args ((= (forall @t69 (or (not @t61) @t357 @t342 @t355)) @t354)))
% 0.45/0.65  (step @p342 :rule refl :args (@t355))
% 0.45/0.65  (step @p343 :rule refl :args (@t342))
% 0.45/0.65  (step @p344 :rule refl :args (@t357))
% 0.45/0.65  (step @p345 :rule eq-symm :args (@t55 @t60))
% 0.45/0.65  (step @p346 :rule cong :premises (@p345) :args (@t357))
% 0.45/0.65  (step @p347 :rule nary_cong :premises (@p346 @p344 @p343 @p342) :args (@t358))
% 0.45/0.65  (step @p348 :rule aci_norm :args ((= @t359 @t358)))
% 0.45/0.65  (step @p349 :rule trans :premises (@p348 @p347))
% 0.45/0.65  (step @p350 :rule cong :premises (@p349) :args (@t360))
% 0.45/0.65  (step @p351 :rule trans :premises (@p350 @p341))
% 0.45/0.65  (step @p352 :rule cong :premises (@p351) :args (@t361))
% 0.45/0.65  (step @p353 :rule quant-merge-prenex :args ((= @t361 @t362)))
% 0.45/0.65  (step @p354 :rule symm :premises (@p353))
% 0.45/0.65  (step @p355 :rule quant_var_reordering :args ((= (forall @t363 @t359) @t362)))
% 0.45/0.65  (step @p356 :rule trans :premises (@p355 @p354 @p352))
% 0.45/0.65  (step @p357 :rule trans :premises (@p356 @p340))
% 0.45/0.65  (step @p358 :rule aci_norm :args ((= @t365 @t359)))
% 0.45/0.65  (step @p359 :rule cong :premises (@p358) :args (@t366))
% 0.45/0.65  (step @p360 :rule trans :premises (@p359 @p357))
% 0.45/0.65  (step @p361 :rule quant-merge-prenex :args ((= (forall @t69 @t367) @t366)))
% 0.45/0.65  (step @p362 :rule alpha_equiv :args (@t368 @t338 (@list @t62)))
% 0.45/0.65  (step @p363 :rule nary_cong :premises (@p362 @p344) :args (@t369))
% 0.45/0.65  (step @p364 :rule quant-miniscope-or :args ((= @t367 @t369)))
% 0.45/0.65  (step @p365 :rule trans :premises (@p364 @p363))
% 0.45/0.65  (step @p366 :rule symm :premises (@p365))
% 0.45/0.65  (step @p367 :rule cong :premises (@p366) :args ((forall @t69 (or @t370 @t357))))
% 0.45/0.65  (step @p368 :rule trans :premises (@p367 @p361))
% 0.45/0.65  (step @p369 :rule trans :premises (@p368 @p360))
% 0.45/0.65  (step @p370 :rule bool-double-not-elim :args (@t370))
% 0.45/0.65  (step @p371 :rule nary_cong :premises (@p370 @p344) :args ((or (not @t371) @t357)))
% 0.45/0.65  (step @p372 :rule bool-and-de-morgan :args (@t371 @t356 true))
% 0.45/0.65  (step @p373 :rule trans :premises (@p372 @p371))
% 0.45/0.65  (step @p374 :rule cong :premises (@p373) :args (@t373))
% 0.45/0.65  (step @p375 :rule trans :premises (@p374 @p369))
% 0.45/0.65  (step @p376 :rule cong :premises (@p375) :args (@t374))
% 0.45/0.65  (step @p377 :rule exists-elim :args ((= (exists @t69 @t372) @t374)))
% 0.45/0.65  (step @p378 :rule trans :premises (@p377 @p376))
% 0.45/0.65  (step @p379 :rule eq-symm :args (@t60 @t55))
% 0.45/0.65  (step @p380 :rule bool-and-de-morgan :args (@t64 @t63 true))
% 0.45/0.65  (step @p381 :rule cong :premises (@p380) :args (@t375))
% 0.45/0.65  (step @p382 :rule cong :premises (@p381) :args (@t376))
% 0.45/0.65  (step @p383 :rule exists-elim :args ((= @t67 @t376)))
% 0.45/0.65  (step @p384 :rule trans :premises (@p383 @p382))
% 0.45/0.65  (step @p385 :rule nary_cong :premises (@p384 @p379) :args (@t68))
% 0.45/0.65  (step @p386 :rule cong :premises (@p385) :args (@t70))
% 0.45/0.65  (step @p387 :rule trans :premises (@p386 @p378))
% 0.45/0.65  (step @p388 :rule nary_cong :premises (@p387 @p331) :args (@t71))
% 0.45/0.65  (step @p389 :rule cong :premises (@p388) :args (@t73))
% 0.45/0.65  (step @p390 :rule trans :premises (@p389 @p326))
% 0.45/0.65  (step @p391 :rule cong :premises (@p390) :args (@t74))
% 0.45/0.65  (step @p392 :rule eq_resolve :premises (@p5 @p391))
% 0.45/0.65  (step @p393 :rule instantiate :premises (@p392) :args (@t377))
% 0.45/0.65  (step @p394 :rule skolemize :premises (@p393))
% 0.45/0.65  (step @p395 :rule bool-double-not-elim :args (@t379))
% 0.45/0.65  (step @p396 :rule refl :args (@t388))
% 0.45/0.65  (step @p397 :rule nary_cong :premises (@p396 @p395) :args ((or @t388 (not @t385))))
% 0.45/0.65  (step @p398 :rule cnf_or_neg :args (@t388 1))
% 0.45/0.65  (step @p399 :rule eq_resolve :premises (@p398 @p397))
% 0.45/0.65  (step @p400 :rule reordering :premises (@p399) :args ((or @t379 @t388)))
% 0.45/0.65  (step @p401 :rule chain_m_resolution :premises (@p400 @p394) :args (@t379 @t198 @t389))
% 0.45/0.65  (step @p402 :rule true_intro :premises (@p401))
% 0.45/0.65  (step @p403 :rule refl :args (@t325))
% 0.45/0.65  (step @p404 :rule bool-and-de-morgan :args (@t394 @t395 true))
% 0.45/0.65  (step @p405 :rule cong :premises (@p404) :args (@t397))
% 0.45/0.65  (step @p406 :rule cong :premises (@p405) :args (@t398))
% 0.45/0.65  (step @p407 :rule exists-elim :args ((= (exists @t26 @t396) @t398)))
% 0.45/0.65  (step @p408 :rule trans :premises (@p407 @p406))
% 0.45/0.65  (step @p409 :rule aci_norm :args ((= (or false @t395) @t395)))
% 0.45/0.65  (step @p410 :rule aci_norm :args ((= (and @t395 true) @t395)))
% 0.45/0.65  (step @p411 :rule eq-refl :args (@t14))
% 0.45/0.65  (step @p412 :rule refl :args (@t395))
% 0.45/0.65  (step @p413 :rule nary_cong :premises (@p412 @p411) :args (@t400))
% 0.45/0.65  (step @p414 :rule trans :premises (@p413 @p410))
% 0.45/0.65  (step @p415 :rule cong :premises (@p411) :args (@t401))
% 0.45/0.65  (step @p416 :rule trans :premises (@p415 @p26))
% 0.45/0.65  (step @p417 :rule nary_cong :premises (@p416 @p414) :args (@t402))
% 0.45/0.65  (step @p418 :rule trans :premises (@p417 @p409))
% 0.45/0.65  (step @p419 :rule quant-var-elim-eq :args ((= (forall @t407 (or (not (= @t403 @t14)) @t406 @t405)) @t402)))
% 0.45/0.65  (step @p420 :rule refl :args (@t405))
% 0.45/0.65  (step @p421 :rule refl :args (@t406))
% 0.45/0.65  (step @p422 :rule eq-symm :args (@t14 @t403))
% 0.45/0.65  (step @p423 :rule cong :premises (@p422) :args (@t406))
% 0.45/0.65  (step @p424 :rule nary_cong :premises (@p423 @p421 @p420) :args (@t408))
% 0.45/0.65  (step @p425 :rule aci_norm :args ((= @t409 @t408)))
% 0.45/0.65  (step @p426 :rule trans :premises (@p425 @p424))
% 0.45/0.65  (step @p427 :rule cong :premises (@p426) :args (@t410))
% 0.45/0.65  (step @p428 :rule trans :premises (@p427 @p419))
% 0.45/0.65  (step @p429 :rule trans :premises (@p428 @p418))
% 0.45/0.65  (step @p430 :rule refl :args (@t394))
% 0.45/0.65  (step @p431 :rule nary_cong :premises (@p430 @p429) :args ((and @t394 @t410)))
% 0.45/0.65  (step @p432 :rule alpha_equiv :args (@t415 @t416 (@list @t403)))
% 0.45/0.65  (step @p433 :rule alpha_equiv :args (@t418 @t416 (@list @t390)))
% 0.45/0.65  (step @p434 :rule nary_cong :premises (@p433 @p432) :args (@t419))
% 0.45/0.65  (step @p435 :rule quant-miniscope-and :args ((= (forall @t24 (and @t417 @t414)) @t419)))
% 0.45/0.65  (step @p436 :rule trans :premises (@p435 @p434))
% 0.45/0.65  (step @p437 :rule trans :premises (@p436 @p431))
% 0.45/0.65  (step @p438 :rule bool-or-and-distrib :args (@t21 @t413 true @t412 false))
% 0.45/0.65  (step @p439 :rule cong :premises (@p438) :args ((forall @t24 (or (and @t21 @t413) @t412))))
% 0.45/0.65  (step @p440 :rule trans :premises (@p439 @p437))
% 0.45/0.65  (step @p441 :rule eq-symm :args (@t15 @t14))
% 0.45/0.65  (step @p442 :rule refl :args (@t18))
% 0.45/0.65  (step @p443 :rule nary_cong :premises (@p442 @p441) :args (@t19))
% 0.45/0.65  (step @p444 :rule cong :premises (@p441) :args (@t20))
% 0.45/0.65  (step @p445 :rule refl :args (@t21))
% 0.45/0.65  (step @p446 :rule nary_cong :premises (@p445 @p444) :args (@t22))
% 0.45/0.65  (step @p447 :rule nary_cong :premises (@p446 @p443) :args (@t23))
% 0.45/0.65  (step @p448 :rule cong :premises (@p447) :args (@t25))
% 0.45/0.65  (step @p449 :rule trans :premises (@p448 @p440))
% 0.45/0.65  (step @p450 :rule cong :premises (@p449) :args (@t27))
% 0.45/0.65  (step @p451 :rule trans :premises (@p450 @p408))
% 0.45/0.65  (step @p452 :rule cong :premises (@p451) :args (@t28))
% 0.45/0.65  (step @p453 :rule eq_resolve :premises (@p2 @p452))
% 0.45/0.65  (step @p454 :rule instantiate :premises (@p453) :args (@t420))
% 0.45/0.65  (step @p455 :rule refl :args (@t430))
% 0.45/0.65  (step @p456 :rule bool-double-not-elim :args (@t423))
% 0.45/0.65  (step @p457 :rule nary_cong :premises (@p456 @p455) :args ((or (not @t431) @t430)))
% 0.45/0.65  (step @p458 :rule refl :args (@t426))
% 0.45/0.65  (step @p459 :rule eq-symm :args (@t424 @t390))
% 0.45/0.65  (step @p460 :rule refl :args (@t421))
% 0.45/0.65  (step @p461 :rule nary_cong :premises (@p460 @p459) :args (@t432))
% 0.45/0.65  (step @p462 :rule refl :args (@t422))
% 0.45/0.65  (step @p463 :rule nary_cong :premises (@p462 @p461) :args (@t433))
% 0.45/0.65  (step @p464 :rule cong :premises (@p463) :args (@t434))
% 0.45/0.65  (step @p465 :rule cong :premises (@p464) :args (@t435))
% 0.45/0.65  (step @p466 :rule nary_cong :premises (@p465 @p458) :args (@t436))
% 0.45/0.65  (step @p467 :rule cong :premises (@p466) :args (@t437))
% 0.45/0.65  (step @p468 :rule refl :args (@t431))
% 0.45/0.65  (step @p469 :rule cong :premises (@p468 @p467) :args ((=> @t431 @t437)))
% 0.45/0.65  (assume-push @p934 @t431)
% 0.45/0.65  (step @p471 :rule skolemize :premises (@p454))
% 0.45/0.65  (step-pop @p935 :rule scope :premises (@p471))
% 0.45/0.65  (step @p472 :rule process_scope :premises (@p935) :args (@t437))
% 0.45/0.65  (step @p474 :rule eq_resolve :premises (@p472 @p469))
% 0.45/0.65  (step @p475 :rule implies_elim :premises (@p474))
% 0.45/0.65  (step @p476 :rule eq_resolve :premises (@p475 @p457))
% 0.45/0.65  (step @p477 :rule chain_m_resolution :premises (@p476 @p454) :args (@t430 @t198 (@list @t423)))
% 0.45/0.65  (step @p478 :rule bool-double-not-elim :args (@t427))
% 0.45/0.65  (step @p479 :rule refl :args (@t429))
% 0.45/0.65  (step @p480 :rule nary_cong :premises (@p479 @p478) :args ((or @t429 (not @t428))))
% 0.45/0.65  (step @p481 :rule cnf_or_neg :args (@t429 0))
% 0.45/0.65  (step @p482 :rule eq_resolve :premises (@p481 @p480))
% 0.45/0.65  (step @p483 :rule reordering :premises (@p482) :args ((or @t427 @t429)))
% 0.45/0.65  (step @p484 :rule chain_m_resolution :premises (@p483 @p477) :args (@t427 @t198 @t438))
% 0.45/0.65  (step @p485 :rule eq-symm :args (@t378 @t424))
% 0.45/0.65  (step @p486 :rule refl :args (@t386))
% 0.45/0.65  (step @p487 :rule nary_cong :premises (@p486 @p485) :args (@t439))
% 0.45/0.65  (step @p488 :rule refl :args (@t387))
% 0.45/0.65  (step @p489 :rule nary_cong :premises (@p488 @p487) :args (@t440))
% 0.45/0.65  (step @p490 :rule refl :args (@t427))
% 0.45/0.65  (step @p491 :rule cong :premises (@p490 @p489) :args ((=> @t427 @t440)))
% 0.45/0.65  (assume-push @p936 @t427)
% 0.45/0.65  (step @p493 :rule instantiate :premises (@p484) :args ((@list @t378)))
% 0.45/0.65  (step-pop @p937 :rule scope :premises (@p493))
% 0.45/0.65  (step @p494 :rule process_scope :premises (@p937) :args (@t440))
% 0.45/0.65  (step @p496 :rule eq_resolve :premises (@p494 @p491))
% 0.45/0.65  (step @p497 :rule implies_elim :premises (@p496))
% 0.45/0.65  (step @p498 :rule chain_m_resolution :premises (@p497 @p484) :args (@t443 @t220 @t444))
% 0.45/0.65  (step @p499 :rule bool-double-not-elim :args (@t386))
% 0.45/0.65  (step @p500 :rule nary_cong :premises (@p396 @p499) :args ((or @t388 (not @t387))))
% 0.45/0.65  (step @p501 :rule cnf_or_neg :args (@t388 0))
% 0.45/0.65  (step @p502 :rule eq_resolve :premises (@p501 @p500))
% 0.45/0.65  (step @p503 :rule reordering :premises (@p502) :args ((or @t386 @t388)))
% 0.45/0.65  (step @p504 :rule chain_m_resolution :premises (@p503 @p394) :args (@t386 @t198 @t389))
% 0.45/0.65  (step @p505 :rule cnf_or_pos :args (@t443))
% 0.45/0.65  (step @p506 :rule reordering :premises (@p505) :args ((or @t387 @t442 (not @t443))))
% 0.45/0.65  (step @p507 :rule chain_m_resolution :premises (@p506 @p504 @p498) :args (@t442 @t263 (@list @t386 @t443)))
% 0.45/0.65  (step @p508 :rule cnf_and_pos :args (@t442 1))
% 0.45/0.65  (step @p509 :rule reordering :premises (@p508) :args ((or @t441 (not @t442))))
% 0.45/0.65  (step @p510 :rule chain_m_resolution :premises (@p509 @p507) :args (@t441 @t220 (@list @t442)))
% 0.45/0.65  (step @p511 :rule instantiate :premises (@p484) :args (@t445))
% 0.45/0.65  (step @p512 :rule aci_norm :args ((= (or @t446 false) @t446)))
% 0.45/0.65  (step @p513 :rule eq-refl :args (@t118))
% 0.45/0.65  (step @p514 :rule cong :premises (@p513) :args (@t447))
% 0.45/0.65  (step @p515 :rule trans :premises (@p514 @p26))
% 0.45/0.65  (step @p516 :rule refl :args (@t446))
% 0.45/0.65  (step @p517 :rule nary_cong :premises (@p516 @p515) :args (@t448))
% 0.45/0.65  (step @p518 :rule trans :premises (@p517 @p512))
% 0.45/0.65  (step @p519 :rule cong :premises (@p518) :args ((forall @t150 @t448)))
% 0.45/0.65  (step @p520 :rule quant-var-elim-eq :args ((= (forall @t451 (or (not (= @t117 @t118)) @t450 @t449)) @t448)))
% 0.45/0.65  (step @p521 :rule refl :args (@t449))
% 0.45/0.65  (step @p522 :rule refl :args (@t450))
% 0.45/0.65  (step @p523 :rule eq-symm :args (@t118 @t117))
% 0.45/0.65  (step @p524 :rule cong :premises (@p523) :args (@t449))
% 0.45/0.65  (step @p525 :rule nary_cong :premises (@p524 @p522 @p521) :args (@t452))
% 0.45/0.65  (step @p526 :rule aci_norm :args ((= @t453 @t452)))
% 0.45/0.65  (step @p527 :rule trans :premises (@p526 @p525))
% 0.45/0.65  (step @p528 :rule cong :premises (@p527) :args (@t454))
% 0.45/0.65  (step @p529 :rule trans :premises (@p528 @p520))
% 0.45/0.65  (step @p530 :rule cong :premises (@p529) :args (@t455))
% 0.45/0.65  (step @p531 :rule quant-merge-prenex :args ((= @t455 (forall @t123 @t453))))
% 0.45/0.65  (step @p532 :rule symm :premises (@p531))
% 0.45/0.65  (step @p533 :rule trans :premises (@p532 @p530))
% 0.45/0.65  (step @p534 :rule trans :premises (@p533 @p519))
% 0.45/0.65  (step @p535 :rule bool-and-de-morgan :args (@t121 @t119 true))
% 0.45/0.65  (step @p536 :rule cong :premises (@p535) :args (@t456))
% 0.45/0.65  (step @p537 :rule trans :premises (@p536 @p534))
% 0.45/0.65  (step @p538 :rule cong :premises (@p537) :args (@t457))
% 0.45/0.65  (step @p539 :rule exists-elim :args ((= @t124 @t457)))
% 0.45/0.65  (step @p540 :rule trans :premises (@p539 @p538))
% 0.45/0.65  (step @p541 :rule bool-double-not-elim :args (@t458))
% 0.45/0.65  (step @p542 :rule aci_norm :args ((= (or @t459 false) @t459)))
% 0.45/0.65  (step @p543 :rule refl :args (@t459))
% 0.45/0.65  (step @p544 :rule nary_cong :premises (@p543 @p515) :args (@t460))
% 0.45/0.65  (step @p545 :rule trans :premises (@p544 @p542))
% 0.45/0.65  (step @p546 :rule quant-var-elim-eq :args ((= (forall @t129 (or (not (= @t125 @t118)) @t462 @t461)) @t460)))
% 0.45/0.65  (step @p547 :rule refl :args (@t461))
% 0.45/0.65  (step @p548 :rule refl :args (@t462))
% 0.45/0.65  (step @p549 :rule eq-symm :args (@t118 @t125))
% 0.45/0.65  (step @p550 :rule cong :premises (@p549) :args (@t461))
% 0.45/0.65  (step @p551 :rule nary_cong :premises (@p550 @p548 @p547) :args (@t463))
% 0.45/0.65  (step @p552 :rule aci_norm :args ((= @t464 @t463)))
% 0.45/0.65  (step @p553 :rule trans :premises (@p552 @p551))
% 0.45/0.65  (step @p554 :rule cong :premises (@p553) :args ((forall @t129 @t464)))
% 0.45/0.65  (step @p555 :rule trans :premises (@p554 @p546))
% 0.45/0.65  (step @p556 :rule trans :premises (@p555 @p545))
% 0.45/0.65  (step @p557 :rule bool-and-de-morgan :args (@t127 @t126 true))
% 0.45/0.65  (step @p558 :rule cong :premises (@p557) :args (@t465))
% 0.45/0.65  (step @p559 :rule trans :premises (@p558 @p556))
% 0.45/0.65  (step @p560 :rule cong :premises (@p559) :args (@t466))
% 0.45/0.65  (step @p561 :rule trans :premises (@p560 @p541))
% 0.45/0.65  (step @p562 :rule exists-elim :args ((= @t130 @t466)))
% 0.45/0.65  (step @p563 :rule trans :premises (@p562 @p561))
% 0.45/0.65  (step @p564 :rule nary_cong :premises (@p563 @p540) :args (@t131))
% 0.45/0.65  (step @p565 :rule cong :premises (@p564) :args (@t132))
% 0.45/0.65  (step @p566 :rule eq_resolve :premises (@p10 @p565))
% 0.45/0.65  (step @p567 :rule instantiate :premises (@p566) :args (@t445))
% 0.45/0.65  (step @p568 :rule refl :args (@t135))
% 0.45/0.65  (step @p569 :rule aci_norm :args ((= (or @t467 false) @t467)))
% 0.45/0.65  (step @p570 :rule eq-refl :args (@t133))
% 0.45/0.65  (step @p571 :rule cong :premises (@p570) :args (@t468))
% 0.45/0.65  (step @p572 :rule trans :premises (@p571 @p26))
% 0.45/0.65  (step @p573 :rule refl :args (@t467))
% 0.45/0.65  (step @p574 :rule nary_cong :premises (@p573 @p572) :args (@t469))
% 0.45/0.65  (step @p575 :rule trans :premises (@p574 @p569))
% 0.45/0.65  (step @p576 :rule quant-var-elim-eq :args ((= (forall @t140 (or @t137 @t138 @t470)) @t469)))
% 0.45/0.65  (step @p577 :rule refl :args (@t470))
% 0.45/0.65  (step @p578 :rule refl :args (@t138))
% 0.45/0.65  (step @p579 :rule eq-symm :args (@t133 @t136))
% 0.45/0.65  (step @p580 :rule cong :premises (@p579) :args (@t470))
% 0.45/0.65  (step @p581 :rule nary_cong :premises (@p580 @p578 @p577) :args (@t471))
% 0.45/0.65  (step @p582 :rule aci_norm :args ((= @t472 @t471)))
% 0.45/0.65  (step @p583 :rule trans :premises (@p582 @p581))
% 0.45/0.65  (step @p584 :rule cong :premises (@p583) :args ((forall @t140 @t472)))
% 0.45/0.65  (step @p585 :rule trans :premises (@p584 @p576))
% 0.45/0.65  (step @p586 :rule trans :premises (@p585 @p575))
% 0.45/0.65  (step @p587 :rule eq-symm :args (@t136 @t133))
% 0.45/0.65  (step @p588 :rule cong :premises (@p587) :args (@t137))
% 0.45/0.65  (step @p589 :rule refl :args (@t138))
% 0.45/0.65  (step @p590 :rule nary_cong :premises (@p589 @p588) :args (@t139))
% 0.45/0.65  (step @p591 :rule cong :premises (@p590) :args (@t141))
% 0.45/0.65  (step @p592 :rule trans :premises (@p591 @p586))
% 0.45/0.65  (step @p593 :rule nary_cong :premises (@p592 @p568) :args (@t142))
% 0.45/0.65  (step @p594 :rule cong :premises (@p593) :args (@t143))
% 0.45/0.65  (step @p595 :rule eq_resolve :premises (@p11 @p594))
% 0.45/0.65  (step @p596 :rule instantiate :premises (@p595) :args ((@list @t251 @t250)))
% 0.45/0.65  (step @p597 :rule bool-double-not-elim :args (@t252))
% 0.45/0.65  (step @p598 :rule nary_cong :premises (@p165 @p597) :args ((or @t261 (not @t253))))
% 0.45/0.65  (step @p599 :rule cnf_or_neg :args (@t261 4))
% 0.45/0.65  (step @p600 :rule eq_resolve :premises (@p599 @p598))
% 0.45/0.65  (step @p601 :rule reordering :premises (@p600) :args ((or @t252 @t261)))
% 0.45/0.65  (step @p602 :rule chain_m_resolution :premises (@p601 @p163) :args (@t252 @t198 @t262))
% 0.45/0.65  (step @p603 :rule cnf_or_pos :args (@t475))
% 0.45/0.65  (step @p604 :rule reordering :premises (@p603) :args ((or @t253 @t474 (not @t475))))
% 0.45/0.65  (step @p605 :rule chain_m_resolution :premises (@p604 @p602 @p596) :args (@t474 @t263 (@list @t252 @t475)))
% 0.45/0.65  (step @p606 :rule cnf_or_pos :args (@t478))
% 0.45/0.65  (step @p607 :rule reordering :premises (@p606) :args ((or @t473 @t477 (not @t478))))
% 0.45/0.65  (step @p608 :rule chain_m_resolution :premises (@p607 @p605 @p567) :args (@t477 (@list true false) (@list @t473 @t478)))
% 0.45/0.65  (step @p609 :rule refl :args (@t480))
% 0.45/0.65  (step @p610 :rule bool-double-not-elim :args (@t476))
% 0.45/0.65  (step @p611 :rule nary_cong :premises (@p610 @p609) :args ((or (not @t477) @t480)))
% 0.45/0.65  (step @p612 :rule bool-double-not-elim :args (@t480))
% 0.45/0.65  (step @p613 :rule refl :args (@t477))
% 0.45/0.65  (step @p614 :rule cong :premises (@p613 @p612) :args ((=> @t477 @t482)))
% 0.45/0.65  (assume-push @p938 @t477)
% 0.45/0.65  (step @p616 :rule skolemize :premises (@p608))
% 0.45/0.65  (step-pop @p939 :rule scope :premises (@p616))
% 0.45/0.65  (step @p617 :rule process_scope :premises (@p939) :args (@t482))
% 0.45/0.65  (step @p619 :rule eq_resolve :premises (@p617 @p614))
% 0.45/0.65  (step @p620 :rule implies_elim :premises (@p619))
% 0.45/0.65  (step @p621 :rule eq_resolve :premises (@p620 @p611))
% 0.45/0.66  (step @p622 :rule chain_m_resolution :premises (@p621 @p608) :args (@t480 @t198 (@list @t476)))
% 0.45/0.66  (step @p623 :rule true_intro :premises (@p622))
% 0.45/0.66  (step @p624 :rule aci_norm :args ((= @t487 (or @t85 @t485 @t484))))
% 0.45/0.66  (step @p625 :rule cong :premises (@p624) :args (@t488))
% 0.45/0.66  (step @p626 :rule quant-merge-prenex :args ((= (forall @t98 @t490) @t488)))
% 0.45/0.66  (step @p627 :rule refl :args (@t85))
% 0.45/0.66  (step @p628 :rule alpha_equiv :args (@t491 (@list @t483) (@list @t86)))
% 0.45/0.66  (step @p629 :rule nary_cong :premises (@p628 @p627) :args (@t492))
% 0.45/0.66  (step @p630 :rule quant-miniscope-or :args ((= @t490 @t492)))
% 0.45/0.66  (step @p631 :rule trans :premises (@p630 @p629))
% 0.45/0.66  (step @p632 :rule symm :premises (@p631))
% 0.45/0.66  (step @p633 :rule cong :premises (@p632) :args ((forall @t98 (or (forall @t95 (or @t493 @t87)) @t85))))
% 0.45/0.66  (step @p634 :rule trans :premises (@p633 @p626))
% 0.45/0.66  (step @p635 :rule trans :premises (@p634 @p625))
% 0.45/0.66  (step @p636 :rule refl :args (@t85))
% 0.45/0.66  (step @p637 :rule refl :args (@t87))
% 0.45/0.66  (step @p638 :rule aci_norm :args ((= (or @t493 false) @t493)))
% 0.45/0.66  (step @p639 :rule eq-refl :args (@t86))
% 0.45/0.66  (step @p640 :rule cong :premises (@p639) :args (@t494))
% 0.45/0.66  (step @p641 :rule trans :premises (@p640 @p26))
% 0.45/0.66  (step @p642 :rule refl :args (@t493))
% 0.45/0.66  (step @p643 :rule nary_cong :premises (@p642 @p641) :args (@t495))
% 0.45/0.66  (step @p644 :rule trans :premises (@p643 @p638))
% 0.45/0.66  (step @p645 :rule quant-var-elim-eq :args ((= (forall @t92 (or @t89 @t90 @t496)) @t495)))
% 0.45/0.66  (step @p646 :rule refl :args (@t496))
% 0.45/0.66  (step @p647 :rule refl :args (@t90))
% 0.45/0.66  (step @p648 :rule eq-symm :args (@t86 @t88))
% 0.45/0.66  (step @p649 :rule cong :premises (@p648) :args (@t496))
% 0.45/0.66  (step @p650 :rule nary_cong :premises (@p649 @p647 @p646) :args (@t497))
% 0.45/0.66  (step @p651 :rule aci_norm :args ((= @t498 @t497)))
% 0.45/0.66  (step @p652 :rule trans :premises (@p651 @p650))
% 0.45/0.66  (step @p653 :rule cong :premises (@p652) :args ((forall @t92 @t498)))
% 0.45/0.66  (step @p654 :rule trans :premises (@p653 @p645))
% 0.45/0.66  (step @p655 :rule trans :premises (@p654 @p644))
% 0.45/0.66  (step @p656 :rule eq-symm :args (@t88 @t86))
% 0.45/0.66  (step @p657 :rule cong :premises (@p656) :args (@t89))
% 0.45/0.66  (step @p658 :rule refl :args (@t90))
% 0.45/0.66  (step @p659 :rule nary_cong :premises (@p658 @p657) :args (@t91))
% 0.45/0.66  (step @p660 :rule cong :premises (@p659) :args (@t93))
% 0.45/0.66  (step @p661 :rule trans :premises (@p660 @p655))
% 0.45/0.66  (step @p662 :rule nary_cong :premises (@p661 @p637) :args (@t94))
% 0.45/0.66  (step @p663 :rule cong :premises (@p662) :args (@t96))
% 0.45/0.66  (step @p664 :rule nary_cong :premises (@p663 @p636) :args (@t97))
% 0.45/0.66  (step @p665 :rule cong :premises (@p664) :args (@t99))
% 0.45/0.66  (step @p666 :rule trans :premises (@p665 @p635))
% 0.45/0.66  (step @p667 :rule eq_resolve :premises (@p7 @p666))
% 0.45/0.66  (step @p668 :rule instantiate :premises (@p667) :args ((@list @t251 @t479 @t250)))
% 0.45/0.66  (step @p669 :rule cnf_or_pos :args (@t500))
% 0.45/0.66  (step @p670 :rule reordering :premises (@p669) :args ((or @t253 @t481 @t499 (not @t500))))
% 0.45/0.66  (step @p671 :rule chain_m_resolution :premises (@p670 @p602 @p622 @p668) :args (@t499 (@list false false false) (@list @t252 @t480 @t500)))
% 0.45/0.66  (step @p672 :rule eq-symm :args (@t251 @t184))
% 0.45/0.66  (step @p673 :rule refl :args (@t254))
% 0.45/0.66  (step @p674 :rule nary_cong :premises (@p673 @p672) :args (@t501))
% 0.45/0.66  (step @p675 :rule refl :args (@t255))
% 0.45/0.66  (step @p676 :rule nary_cong :premises (@p675 @p674) :args (@t502))
% 0.45/0.66  (step @p677 :rule cong :premises (@p107 @p676) :args ((=> @t187 @t502)))
% 0.45/0.66  (assume-push @p940 @t187)
% 0.45/0.66  (step @p679 :rule instantiate :premises (@p101) :args ((@list @t251)))
% 0.45/0.66  (step-pop @p941 :rule scope :premises (@p679))
% 0.45/0.66  (step @p680 :rule process_scope :premises (@p941) :args (@t502))
% 0.45/0.66  (step @p682 :rule eq_resolve :premises (@p680 @p677))
% 0.45/0.66  (step @p683 :rule implies_elim :premises (@p682))
% 0.45/0.66  (step @p684 :rule chain_m_resolution :premises (@p683 @p101) :args (@t505 @t220 @t221))
% 0.45/0.66  (step @p685 :rule bool-double-not-elim :args (@t254))
% 0.45/0.66  (step @p686 :rule nary_cong :premises (@p165 @p685) :args ((or @t261 (not @t255))))
% 0.45/0.66  (step @p687 :rule cnf_or_neg :args (@t261 3))
% 0.45/0.66  (step @p688 :rule eq_resolve :premises (@p687 @p686))
% 0.45/0.66  (step @p689 :rule reordering :premises (@p688) :args ((or @t254 @t261)))
% 0.45/0.66  (step @p690 :rule chain_m_resolution :premises (@p689 @p163) :args (@t254 @t198 @t262))
% 0.45/0.66  (step @p691 :rule cnf_or_pos :args (@t505))
% 0.45/0.66  (step @p692 :rule reordering :premises (@p691) :args ((or @t255 @t504 (not @t505))))
% 0.45/0.66  (step @p693 :rule chain_m_resolution :premises (@p692 @p690 @p684) :args (@t504 @t263 (@list @t254 @t505)))
% 0.45/0.66  (step @p694 :rule cnf_and_pos :args (@t504 1))
% 0.45/0.66  (step @p695 :rule reordering :premises (@p694) :args ((or @t503 (not @t504))))
% 0.45/0.66  (step @p696 :rule chain_m_resolution :premises (@p695 @p693) :args (@t503 @t220 (@list @t504)))
% 0.45/0.66  (step @p697 :rule trans :premises (@p696 @p671))
% 0.45/0.66  (step @p698 :rule cong :premises (@p697 @p268) :args (@t506))
% 0.45/0.66  (step @p699 :rule trans :premises (@p698 @p623))
% 0.45/0.66  (step @p700 :rule true_elim :premises (@p699))
% 0.45/0.66  (step @p701 :rule cnf_or_pos :args (@t510))
% 0.45/0.66  (step @p702 :rule reordering :premises (@p701) :args ((or @t509 @t508 (not @t510))))
% 0.45/0.66  (step @p703 :rule chain_m_resolution :premises (@p702 @p700 @p511) :args (@t508 @t263 (@list @t506 @t510)))
% 0.45/0.66  (step @p704 :rule cnf_and_pos :args (@t508 1))
% 0.45/0.66  (step @p705 :rule reordering :premises (@p704) :args ((or @t507 (not @t508))))
% 0.45/0.66  (step @p706 :rule chain_m_resolution :premises (@p705 @p703) :args (@t507 @t220 (@list @t508)))
% 0.45/0.66  (step @p707 :rule trans :premises (@p706 @p510))
% 0.45/0.66  (step @p708 :rule refl :args (@t184))
% 0.45/0.66  (step @p709 :rule cong :premises (@p708 @p707 @p403) :args (@t511))
% 0.45/0.66  (step @p710 :rule trans :premises (@p709 @p402))
% 0.45/0.66  (step @p711 :rule true_elim :premises (@p710))
% 0.45/0.66  (step @p712 :rule cnf_or_pos :args (@t515))
% 0.45/0.66  (step @p713 :rule reordering :premises (@p712) :args ((or @t514 @t513 (not @t515))))
% 0.45/0.66  (step @p714 :rule chain_m_resolution :premises (@p713 @p711 @p304) :args (@t513 @t263 (@list @t511 @t515)))
% 0.45/0.66  (step @p715 :rule cnf_and_pos :args (@t513 1))
% 0.45/0.66  (step @p716 :rule reordering :premises (@p715) :args ((or @t512 (not @t513))))
% 0.45/0.66  (step @p717 :rule chain_m_resolution :premises (@p716 @p714) :args (@t512 @t220 (@list @t513)))
% 0.45/0.66  (step @p718 :rule eq-symm :args (@t325 @t424))
% 0.45/0.66  (step @p719 :rule refl :args (@t516))
% 0.45/0.66  (step @p720 :rule nary_cong :premises (@p719 @p718) :args (@t517))
% 0.45/0.66  (step @p721 :rule refl :args (@t518))
% 0.45/0.66  (step @p722 :rule nary_cong :premises (@p721 @p720) :args (@t519))
% 0.45/0.66  (step @p723 :rule cong :premises (@p490 @p722) :args ((=> @t427 @t519)))
% 0.45/0.66  (assume-push @p942 @t427)
% 0.45/0.66  (step @p725 :rule instantiate :premises (@p484) :args (@t326))
% 0.45/0.66  (step-pop @p943 :rule scope :premises (@p725))
% 0.45/0.66  (step @p726 :rule process_scope :premises (@p943) :args (@t519))
% 0.45/0.66  (step @p728 :rule eq_resolve :premises (@p726 @p723))
% 0.45/0.66  (step @p729 :rule implies_elim :premises (@p728))
% 0.45/0.66  (step @p730 :rule chain_m_resolution :premises (@p729 @p484) :args (@t522 @t220 @t444))
% 0.45/0.66  (step @p731 :rule bool-double-not-elim :args (@t383))
% 0.45/0.66  (step @p732 :rule nary_cong :premises (@p396 @p731) :args ((or @t388 (not @t384))))
% 0.45/0.66  (step @p733 :rule cnf_or_neg :args (@t388 2))
% 0.45/0.66  (step @p734 :rule eq_resolve :premises (@p733 @p732))
% 0.45/0.66  (step @p735 :rule reordering :premises (@p734) :args ((or @t383 @t388)))
% 0.45/0.66  (step @p736 :rule chain_m_resolution :premises (@p735 @p394) :args (@t383 @t198 @t389))
% 0.45/0.66  (step @p737 :rule true_intro :premises (@p736))
% 0.45/0.66  (step @p738 :rule instantiate :premises (@p227) :args (@t377))
% 0.45/0.66  (step @p739 :rule refl :args (@t531))
% 0.45/0.66  (step @p740 :rule bool-double-not-elim :args (@t525))
% 0.45/0.66  (step @p741 :rule nary_cong :premises (@p740 @p739) :args ((or (not @t532) @t531)))
% 0.45/0.66  (step @p742 :rule refl :args (@t527))
% 0.45/0.66  (step @p743 :rule eq-symm :args (@t526 @t264))
% 0.45/0.66  (step @p744 :rule refl :args (@t523))
% 0.45/0.66  (step @p745 :rule nary_cong :premises (@p744 @p743) :args (@t533))
% 0.45/0.66  (step @p746 :rule refl :args (@t524))
% 0.45/0.66  (step @p747 :rule nary_cong :premises (@p746 @p745) :args (@t534))
% 0.45/0.66  (step @p748 :rule cong :premises (@p747) :args (@t535))
% 0.45/0.66  (step @p749 :rule cong :premises (@p748) :args (@t536))
% 0.45/0.66  (step @p750 :rule nary_cong :premises (@p749 @p742) :args (@t537))
% 0.45/0.66  (step @p751 :rule cong :premises (@p750) :args (@t538))
% 0.45/0.66  (step @p752 :rule refl :args (@t532))
% 0.45/0.66  (step @p753 :rule cong :premises (@p752 @p751) :args ((=> @t532 @t538)))
% 0.45/0.66  (assume-push @p944 @t532)
% 0.45/0.66  (step @p755 :rule skolemize :premises (@p738))
% 0.45/0.66  (step-pop @p945 :rule scope :premises (@p755))
% 0.45/0.66  (step @p756 :rule process_scope :premises (@p945) :args (@t538))
% 0.45/0.66  (step @p758 :rule eq_resolve :premises (@p756 @p753))
% 0.45/0.66  (step @p759 :rule implies_elim :premises (@p758))
% 0.45/0.66  (step @p760 :rule eq_resolve :premises (@p759 @p741))
% 0.45/0.66  (step @p761 :rule chain_m_resolution :premises (@p760 @p738) :args (@t531 @t198 (@list @t525)))
% 0.45/0.66  (step @p762 :rule bool-double-not-elim :args (@t528))
% 0.45/0.66  (step @p763 :rule refl :args (@t530))
% 0.45/0.66  (step @p764 :rule nary_cong :premises (@p763 @p762) :args ((or @t530 (not @t529))))
% 0.45/0.66  (step @p765 :rule cnf_or_neg :args (@t530 0))
% 0.45/0.66  (step @p766 :rule eq_resolve :premises (@p765 @p764))
% 0.45/0.66  (step @p767 :rule reordering :premises (@p766) :args ((or @t528 @t530)))
% 0.45/0.66  (step @p768 :rule chain_m_resolution :premises (@p767 @p761) :args (@t528 @t198 (@list @t530)))
% 0.45/0.66  (step @p769 :rule eq-symm :args (@t380 @t526))
% 0.45/0.66  (step @p770 :rule refl :args (@t381))
% 0.45/0.66  (step @p771 :rule nary_cong :premises (@p770 @p769) :args (@t539))
% 0.45/0.66  (step @p772 :rule refl :args (@t382))
% 0.45/0.66  (step @p773 :rule nary_cong :premises (@p772 @p771) :args (@t540))
% 0.45/0.66  (step @p774 :rule refl :args (@t528))
% 0.45/0.66  (step @p775 :rule cong :premises (@p774 @p773) :args ((=> @t528 @t540)))
% 0.45/0.66  (assume-push @p946 @t528)
% 0.45/0.66  (step @p777 :rule instantiate :premises (@p768) :args ((@list @t380)))
% 0.45/0.66  (step-pop @p947 :rule scope :premises (@p777))
% 0.45/0.66  (step @p778 :rule process_scope :premises (@p947) :args (@t540))
% 0.45/0.66  (step @p780 :rule eq_resolve :premises (@p778 @p775))
% 0.45/0.66  (step @p781 :rule implies_elim :premises (@p780))
% 0.45/0.66  (step @p782 :rule chain_m_resolution :premises (@p781 @p768) :args (@t543 @t220 (@list @t528)))
% 0.45/0.66  (step @p783 :rule bool-double-not-elim :args (@t381))
% 0.45/0.66  (step @p784 :rule nary_cong :premises (@p396 @p783) :args ((or @t388 (not @t382))))
% 0.45/0.66  (step @p785 :rule cnf_or_neg :args (@t388 3))
% 0.45/0.66  (step @p786 :rule eq_resolve :premises (@p785 @p784))
% 0.45/0.66  (step @p787 :rule reordering :premises (@p786) :args ((or @t381 @t388)))
% 0.45/0.66  (step @p788 :rule chain_m_resolution :premises (@p787 @p394) :args (@t381 @t198 @t389))
% 0.45/0.66  (step @p789 :rule cnf_or_pos :args (@t543))
% 0.45/0.66  (step @p790 :rule reordering :premises (@p789) :args ((or @t382 @t542 (not @t543))))
% 0.45/0.66  (step @p791 :rule chain_m_resolution :premises (@p790 @p788 @p782) :args (@t542 @t263 (@list @t381 @t543)))
% 0.45/0.66  (step @p792 :rule cnf_and_pos :args (@t542 1))
% 0.45/0.66  (step @p793 :rule reordering :premises (@p792) :args ((or @t541 (not @t542))))
% 0.45/0.66  (step @p794 :rule chain_m_resolution :premises (@p793 @p791) :args (@t541 @t220 (@list @t542)))
% 0.45/0.66  (step @p795 :rule instantiate :premises (@p768) :args (@t420))
% 0.45/0.66  (step @p796 :rule aci_norm :args ((= (or false @t546 @t545) (or @t546 @t545))))
% 0.45/0.66  (step @p797 :rule refl :args (@t545))
% 0.45/0.66  (step @p798 :rule refl :args (@t546))
% 0.45/0.66  (step @p799 :rule eq-refl :args (@t100))
% 0.45/0.66  (step @p800 :rule cong :premises (@p799) :args (@t547))
% 0.45/0.66  (step @p801 :rule trans :premises (@p800 @p26))
% 0.45/0.66  (step @p802 :rule nary_cong :premises (@p801 @p798 @p797) :args (@t548))
% 0.45/0.66  (step @p803 :rule trans :premises (@p802 @p796))
% 0.45/0.66  (step @p804 :rule cong :premises (@p803) :args ((forall @t549 @t548)))
% 0.45/0.66  (step @p805 :rule quant-var-elim-eq :args ((= (forall @t110 (or (not @t102) @t552 @t546 @t550)) @t548)))
% 0.45/0.66  (step @p806 :rule refl :args (@t550))
% 0.45/0.66  (step @p807 :rule refl :args (@t546))
% 0.45/0.66  (step @p808 :rule refl :args (@t552))
% 0.45/0.66  (step @p809 :rule eq-symm :args (@t100 @t101))
% 0.45/0.66  (step @p810 :rule cong :premises (@p809) :args (@t552))
% 0.45/0.66  (step @p811 :rule nary_cong :premises (@p810 @p808 @p807 @p806) :args (@t553))
% 0.45/0.66  (step @p812 :rule aci_norm :args ((= @t554 @t553)))
% 0.45/0.66  (step @p813 :rule trans :premises (@p812 @p811))
% 0.45/0.66  (step @p814 :rule cong :premises (@p813) :args (@t555))
% 0.45/0.66  (step @p815 :rule trans :premises (@p814 @p805))
% 0.45/0.66  (step @p816 :rule cong :premises (@p815) :args (@t556))
% 0.45/0.66  (step @p817 :rule quant-merge-prenex :args ((= @t556 @t557)))
% 0.45/0.66  (step @p818 :rule symm :premises (@p817))
% 0.45/0.66  (step @p819 :rule quant_var_reordering :args ((= (forall @t558 @t554) @t557)))
% 0.45/0.66  (step @p820 :rule trans :premises (@p819 @p818 @p816))
% 0.45/0.66  (step @p821 :rule trans :premises (@p820 @p804))
% 0.45/0.66  (step @p822 :rule aci_norm :args ((= @t560 @t554)))
% 0.45/0.66  (step @p823 :rule cong :premises (@p822) :args (@t561))
% 0.45/0.66  (step @p824 :rule trans :premises (@p823 @p821))
% 0.45/0.66  (step @p825 :rule quant-merge-prenex :args ((= (forall @t110 @t562) @t561)))
% 0.45/0.66  (step @p826 :rule alpha_equiv :args (@t563 (@list @t544) (@list @t103)))
% 0.45/0.66  (step @p827 :rule nary_cong :premises (@p826 @p808) :args (@t564))
% 0.45/0.66  (step @p828 :rule quant-miniscope-or :args ((= @t562 @t564)))
% 0.45/0.66  (step @p829 :rule trans :premises (@p828 @p827))
% 0.45/0.66  (step @p830 :rule symm :premises (@p829))
% 0.45/0.66  (step @p831 :rule cong :premises (@p830) :args ((forall @t110 (or @t565 @t552))))
% 0.45/0.66  (step @p832 :rule trans :premises (@p831 @p825))
% 0.45/0.66  (step @p833 :rule trans :premises (@p832 @p824))
% 0.45/0.66  (step @p834 :rule bool-double-not-elim :args (@t565))
% 0.45/0.66  (step @p835 :rule nary_cong :premises (@p834 @p808) :args ((or (not @t566) @t552)))
% 0.45/0.66  (step @p836 :rule bool-and-de-morgan :args (@t566 @t551 true))
% 0.45/0.66  (step @p837 :rule trans :premises (@p836 @p835))
% 0.45/0.66  (step @p838 :rule cong :premises (@p837) :args (@t568))
% 0.45/0.66  (step @p839 :rule trans :premises (@p838 @p833))
% 0.45/0.66  (step @p840 :rule cong :premises (@p839) :args (@t569))
% 0.45/0.66  (step @p841 :rule exists-elim :args ((= (exists @t110 @t567) @t569)))
% 0.45/0.66  (step @p842 :rule trans :premises (@p841 @p840))
% 0.45/0.66  (step @p843 :rule eq-symm :args (@t101 @t100))
% 0.45/0.66  (step @p844 :rule bool-and-de-morgan :args (@t105 @t104 true))
% 0.45/0.66  (step @p845 :rule cong :premises (@p844) :args (@t570))
% 0.45/0.66  (step @p846 :rule cong :premises (@p845) :args (@t571))
% 0.45/0.66  (step @p847 :rule exists-elim :args ((= @t108 @t571)))
% 0.45/0.66  (step @p848 :rule trans :premises (@p847 @p846))
% 0.45/0.66  (step @p849 :rule nary_cong :premises (@p848 @p843) :args (@t109))
% 0.45/0.66  (step @p850 :rule cong :premises (@p849) :args (@t111))
% 0.45/0.66  (step @p851 :rule trans :premises (@p850 @p842))
% 0.45/0.66  (step @p852 :rule cong :premises (@p851) :args (@t112))
% 0.45/0.66  (step @p853 :rule eq_resolve :premises (@p8 @p852))
% 0.45/0.66  (step @p854 :rule instantiate :premises (@p853) :args (@t420))
% 0.45/0.66  (step @p855 :rule skolemize :premises (@p854))
% 0.45/0.66  (step @p856 :rule bool-double-not-elim :args (@t573))
% 0.45/0.66  (step @p857 :rule refl :args (@t577))
% 0.45/0.66  (step @p858 :rule nary_cong :premises (@p857 @p856) :args ((or @t577 (not @t574))))
% 0.45/0.66  (step @p859 :rule cnf_or_neg :args (@t577 1))
% 0.45/0.66  (step @p860 :rule eq_resolve :premises (@p859 @p858))
% 0.45/0.66  (step @p861 :rule reordering :premises (@p860) :args ((or @t573 @t577)))
% 0.45/0.66  (step @p862 :rule chain_m_resolution :premises (@p861 @p855) :args (@t573 @t198 @t578))
% 0.45/0.66  (step @p863 :rule true_intro :premises (@p862))
% 0.45/0.66  (step @p864 :rule eq-symm :args (@t572 @t184))
% 0.45/0.66  (step @p865 :rule refl :args (@t575))
% 0.45/0.66  (step @p866 :rule nary_cong :premises (@p865 @p864) :args (@t579))
% 0.45/0.66  (step @p867 :rule refl :args (@t576))
% 0.45/0.66  (step @p868 :rule nary_cong :premises (@p867 @p866) :args (@t580))
% 0.45/0.66  (step @p869 :rule cong :premises (@p107 @p868) :args ((=> @t187 @t580)))
% 0.45/0.66  (assume-push @p948 @t187)
% 0.45/0.66  (step @p871 :rule instantiate :premises (@p101) :args ((@list @t572)))
% 0.45/0.66  (step-pop @p949 :rule scope :premises (@p871))
% 0.45/0.66  (step @p872 :rule process_scope :premises (@p949) :args (@t580))
% 0.45/0.66  (step @p874 :rule eq_resolve :premises (@p872 @p869))
% 0.45/0.66  (step @p875 :rule implies_elim :premises (@p874))
% 0.45/0.66  (step @p876 :rule chain_m_resolution :premises (@p875 @p101) :args (@t583 @t220 @t221))
% 0.45/0.66  (step @p877 :rule bool-double-not-elim :args (@t575))
% 0.45/0.66  (step @p878 :rule nary_cong :premises (@p857 @p877) :args ((or @t577 (not @t576))))
% 0.45/0.66  (step @p879 :rule cnf_or_neg :args (@t577 0))
% 0.45/0.66  (step @p880 :rule eq_resolve :premises (@p879 @p878))
% 0.45/0.66  (step @p881 :rule reordering :premises (@p880) :args ((or @t575 @t577)))
% 0.45/0.66  (step @p882 :rule chain_m_resolution :premises (@p881 @p855) :args (@t575 @t198 @t578))
% 0.45/0.66  (step @p883 :rule cnf_or_pos :args (@t583))
% 0.45/0.66  (step @p884 :rule reordering :premises (@p883) :args ((or @t576 @t582 (not @t583))))
% 0.45/0.66  (step @p885 :rule chain_m_resolution :premises (@p884 @p882 @p876) :args (@t582 @t263 (@list @t575 @t583)))
% 0.45/0.66  (step @p886 :rule cnf_and_pos :args (@t582 1))
% 0.45/0.66  (step @p887 :rule reordering :premises (@p886) :args ((or @t581 (not @t582))))
% 0.45/0.66  (step @p888 :rule chain_m_resolution :premises (@p887 @p885) :args (@t581 @t220 (@list @t582)))
% 0.45/0.66  (step @p889 :rule cong :premises (@p708 @p888 @p708) :args (@t584))
% 0.45/0.66  (step @p890 :rule trans :premises (@p889 @p863))
% 0.45/0.66  (step @p891 :rule true_elim :premises (@p890))
% 0.45/0.66  (step @p892 :rule cnf_or_pos :args (@t588))
% 0.45/0.66  (step @p893 :rule reordering :premises (@p892) :args ((or @t587 @t586 (not @t588))))
% 0.45/0.66  (step @p894 :rule chain_m_resolution :premises (@p893 @p891 @p795) :args (@t586 @t263 (@list @t584 @t588)))
% 0.45/0.66  (step @p895 :rule cnf_and_pos :args (@t586 1))
% 0.45/0.66  (step @p896 :rule reordering :premises (@p895) :args ((or @t585 (not @t586))))
% 0.45/0.66  (step @p897 :rule chain_m_resolution :premises (@p896 @p894) :args (@t585 @t220 (@list @t586)))
% 0.45/0.66  (step @p898 :rule symm :premises (@p696))
% 0.45/0.66  (step @p899 :rule trans :premises (@p898 @p897 @p794))
% 0.45/0.66  (step @p900 :rule trans :premises (@p696 @p899))
% 0.45/0.66  (step @p901 :rule cong :premises (@p900 @p403) :args (@t516))
% 0.45/0.66  (step @p902 :rule trans :premises (@p901 @p737))
% 0.45/0.66  (step @p903 :rule true_elim :premises (@p902))
% 0.45/0.66  (step @p904 :rule cnf_or_pos :args (@t522))
% 0.45/0.66  (step @p905 :rule reordering :premises (@p904) :args ((or @t518 @t521 (not @t522))))
% 0.45/0.66  (step @p906 :rule chain_m_resolution :premises (@p905 @p903 @p730) :args (@t521 @t263 (@list @t516 @t522)))
% 0.45/0.66  (step @p907 :rule cnf_and_pos :args (@t521 1))
% 0.45/0.66  (step @p908 :rule reordering :premises (@p907) :args ((or @t520 (not @t521))))
% 0.45/0.66  (step @p909 :rule chain_m_resolution :premises (@p908 @p906) :args (@t520 @t220 (@list @t521)))
% 0.45/0.66  (step @p910 :rule trans :premises (@p909 @p717 @p303 @p177))
% 0.45/0.66  (step @p911 :rule cong :premises (@p910) :args (@t589))
% 0.45/0.66  (step @p912 :rule instantiate :premises (@p595) :args ((@list @t184 @t424)))
% 0.45/0.66  (step @p913 :rule bool-double-not-elim :args (@t425))
% 0.45/0.66  (step @p914 :rule nary_cong :premises (@p479 @p913) :args ((or @t429 (not @t426))))
% 0.45/0.66  (step @p915 :rule cnf_or_neg :args (@t429 1))
% 0.45/0.66  (step @p916 :rule eq_resolve :premises (@p915 @p914))
% 0.45/0.66  (step @p917 :rule reordering :premises (@p916) :args ((or @t425 @t429)))
% 0.45/0.66  (step @p918 :rule chain_m_resolution :premises (@p917 @p477) :args (@t425 @t198 @t438))
% 0.45/0.66  (step @p919 :rule cnf_or_pos :args (@t591))
% 0.45/0.66  (step @p920 :rule reordering :premises (@p919) :args ((or @t426 @t590 (not @t591))))
% 0.45/0.66  (step @p921 :rule chain_m_resolution :premises (@p920 @p918 @p912) :args (@t590 @t263 (@list @t425 @t591)))
% 0.45/0.66  (step @p922 :rule false_intro :premises (@p921))
% 0.45/0.66  (step @p923 :rule symm :premises (@p922))
% 0.45/0.66  (step @p924 :rule trans :premises (@p923 @p911 @p95))
% 0.45/0.66  (step @p925 false :rule eq_resolve :premises (@p924 @p14))
% 0.45/0.66  )
% 0.45/0.66  % SZS output end Proof
% 0.45/0.66  % cvc5 exiting
%------------------------------------------------------------------------------