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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : NUM494+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.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 08:39:36 AM UTC 2026

% Result   : Theorem 27.73s 27.98s
% Output   : Proof 27.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM494+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n019.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 11:24:04 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.31/0.50  %----Proving TF0_NAR, FOF, or CNF
% 27.73/27.98  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 27.73/27.98  --- Run --no-e-matching --full-saturate-quant at 6...
% 27.73/27.98  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 27.73/27.98  % SZS status Theorem
% 27.73/27.98  % SZS output start Proof
% 27.73/27.98  (
% 27.73/27.98  (declare-sort $$unsorted 0)
% 27.73/27.98  (declare-const tptp.doDivides0 (-> $$unsorted $$unsorted Bool))
% 27.73/27.98  (declare-const tptp.xm $$unsorted)
% 27.73/27.98  (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted))
% 27.73/27.98  (declare-const tptp.xr $$unsorted)
% 27.73/27.98  (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool))
% 27.73/27.98  (declare-const tptp.xn $$unsorted)
% 27.73/27.98  (declare-const tptp.aNaturalNumber0 (-> $$unsorted Bool))
% 27.73/27.98  (declare-const tptp.sz00 $$unsorted)
% 27.73/27.98  (declare-const tptp.sdtsldt0 (-> $$unsorted $$unsorted $$unsorted))
% 27.73/27.98  (declare-const tptp.sdtasdt0 (-> $$unsorted $$unsorted $$unsorted))
% 27.73/27.98  (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted))
% 27.73/27.98  (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool))
% 27.73/27.98  (declare-const tptp.isPrime0 (-> $$unsorted Bool))
% 27.73/27.98  (declare-const tptp.sz10 $$unsorted)
% 27.73/27.98  (declare-const tptp.xp $$unsorted)
% 27.73/27.98  (define @t1 () (@var "W0" $$unsorted))
% 27.73/27.98  (define @t2 () (tptp.aNaturalNumber0 @t1))
% 27.73/27.98  (define @t3 () (@list @t1))
% 27.73/27.98  (define @t4 () (tptp.aNaturalNumber0 tptp.sz00))
% 27.73/27.98  (define @t5 () (tptp.aNaturalNumber0 tptp.sz10))
% 27.73/27.98  (define @t6 () (@var "W1" $$unsorted))
% 27.73/27.98  (define @t7 () (tptp.sdtpldt0 @t1 @t6))
% 27.73/27.98  (define @t8 () (tptp.aNaturalNumber0 @t7))
% 27.73/27.98  (define @t9 () (tptp.aNaturalNumber0 @t6))
% 27.73/27.98  (define @t10 () (and @t2 @t9))
% 27.73/27.98  (define @t11 () (@list @t1 @t6))
% 27.73/27.98  (define @t12 () (forall @t11 (=> @t10 @t8)))
% 27.73/27.98  (define @t13 () (tptp.sdtasdt0 @t1 @t6))
% 27.73/27.98  (define @t14 () (tptp.aNaturalNumber0 @t13))
% 27.73/27.98  (define @t15 () (forall @t11 (=> @t10 @t14)))
% 27.73/27.98  (define @t16 () (tptp.sdtpldt0 @t6 @t1))
% 27.73/27.98  (define @t17 () (= @t7 @t16))
% 27.73/27.98  (define @t18 () (forall @t11 (=> @t10 @t17)))
% 27.73/27.98  (define @t19 () (@var "W2" $$unsorted))
% 27.73/27.98  (define @t20 () (tptp.sdtpldt0 @t6 @t19))
% 27.73/27.98  (define @t21 () (tptp.sdtpldt0 @t7 @t19))
% 27.73/27.98  (define @t22 () (= @t21 (tptp.sdtpldt0 @t1 @t20)))
% 27.73/27.98  (define @t23 () (tptp.aNaturalNumber0 @t19))
% 27.73/27.98  (define @t24 () (and @t2 @t9 @t23))
% 27.73/27.98  (define @t25 () (@list @t1 @t6 @t19))
% 27.73/27.98  (define @t26 () (forall @t25 (=> @t24 @t22)))
% 27.73/27.98  (define @t27 () (= @t1 (tptp.sdtpldt0 tptp.sz00 @t1)))
% 27.73/27.98  (define @t28 () (tptp.sdtpldt0 @t1 tptp.sz00))
% 27.73/27.98  (define @t29 () (and (= @t28 @t1) @t27))
% 27.73/27.98  (define @t30 () (=> @t2 @t29))
% 27.73/27.98  (define @t31 () (forall @t3 @t30))
% 27.73/27.98  (define @t32 () (tptp.sdtasdt0 @t6 @t1))
% 27.73/27.98  (define @t33 () (= @t13 @t32))
% 27.73/27.98  (define @t34 () (forall @t11 (=> @t10 @t33)))
% 27.73/27.98  (define @t35 () (= @t1 (tptp.sdtasdt0 tptp.sz10 @t1)))
% 27.73/27.98  (define @t36 () (tptp.sdtasdt0 @t1 tptp.sz10))
% 27.73/27.98  (define @t37 () (and (= @t36 @t1) @t35))
% 27.73/27.98  (define @t38 () (=> @t2 @t37))
% 27.73/27.98  (define @t39 () (forall @t3 @t38))
% 27.73/27.98  (define @t40 () (tptp.sdtasdt0 @t19 @t1))
% 27.73/27.98  (define @t41 () (tptp.sdtasdt0 @t1 @t19))
% 27.73/27.98  (define @t42 () (= @t6 @t19))
% 27.73/27.98  (define @t43 () (tptp.sdtpldt0 @t19 @t1))
% 27.73/27.98  (define @t44 () (= @t16 @t43))
% 27.73/27.98  (define @t45 () (tptp.sdtpldt0 @t1 @t19))
% 27.73/27.98  (define @t46 () (= @t7 @t45))
% 27.73/27.98  (define @t47 () (or @t46 @t44))
% 27.73/27.98  (define @t48 () (=> @t47 @t42))
% 27.73/27.98  (define @t49 () (forall @t25 (=> @t24 @t48)))
% 27.73/27.98  (define @t50 () (= @t32 @t40))
% 27.73/27.98  (define @t51 () (= @t13 @t41))
% 27.73/27.98  (define @t52 () (and @t9 @t23))
% 27.73/27.98  (define @t53 () (= @t1 tptp.sz00))
% 27.73/27.98  (define @t54 () (not @t53))
% 27.73/27.98  (define @t55 () (= @t6 tptp.sz00))
% 27.73/27.98  (define @t56 () (and @t23 (= @t45 @t6)))
% 27.73/27.98  (define @t57 () (@list @t19))
% 27.73/27.98  (define @t58 () (exists @t57 @t56))
% 27.73/27.98  (define @t59 () (tptp.sdtlseqdt0 @t1 @t6))
% 27.73/27.98  (define @t60 () (= @t59 @t58))
% 27.73/27.98  (define @t61 () (=> @t10 @t60))
% 27.73/27.98  (define @t62 () (forall @t11 @t61))
% 27.73/27.98  (define @t63 () (tptp.sdtmndt0 @t6 @t1))
% 27.73/27.98  (define @t64 () (= @t19 @t63))
% 27.73/27.98  (define @t65 () (forall @t57 (= @t64 @t56)))
% 27.73/27.98  (define @t66 () (=> @t59 @t65))
% 27.73/27.98  (define @t67 () (=> @t10 @t66))
% 27.73/27.98  (define @t68 () (forall @t11 @t67))
% 27.73/27.98  (define @t69 () (= @t1 @t6))
% 27.73/27.98  (define @t70 () (tptp.sdtlseqdt0 @t6 @t1))
% 27.73/27.98  (define @t71 () (and @t59 @t70))
% 27.73/27.98  (define @t72 () (=> @t71 @t69))
% 27.73/27.98  (define @t73 () (forall @t11 (=> @t10 @t72)))
% 27.73/27.98  (define @t74 () (tptp.sdtlseqdt0 @t1 @t19))
% 27.73/27.98  (define @t75 () (tptp.sdtlseqdt0 @t6 @t19))
% 27.73/27.98  (define @t76 () (and @t59 @t75))
% 27.73/27.98  (define @t77 () (=> @t76 @t74))
% 27.73/27.98  (define @t78 () (forall @t25 (=> @t24 @t77)))
% 27.73/27.98  (define @t79 () (= @t6 @t1))
% 27.73/27.98  (define @t80 () (not @t79))
% 27.73/27.98  (define @t81 () (and @t80 @t70))
% 27.73/27.98  (define @t82 () (or @t59 @t81))
% 27.73/27.98  (define @t83 () (=> @t10 @t82))
% 27.73/27.98  (define @t84 () (forall @t11 @t83))
% 27.73/27.98  (define @t85 () (tptp.sdtlseqdt0 @t45 @t20))
% 27.73/27.98  (define @t86 () (not (= @t45 @t20)))
% 27.73/27.98  (define @t87 () (tptp.sdtpldt0 @t19 @t6))
% 27.73/27.98  (define @t88 () (tptp.sdtlseqdt0 @t43 @t87))
% 27.73/27.98  (define @t89 () (not (= @t43 @t87)))
% 27.73/27.98  (define @t90 () (and @t89 @t88 @t86 @t85))
% 27.73/27.98  (define @t91 () (=> @t23 @t90))
% 27.73/27.98  (define @t92 () (forall @t57 @t91))
% 27.73/27.98  (define @t93 () (not @t69))
% 27.73/27.98  (define @t94 () (and @t93 @t59))
% 27.73/27.98  (define @t95 () (=> @t94 @t92))
% 27.73/27.98  (define @t96 () (=> @t10 @t95))
% 27.73/27.98  (define @t97 () (forall @t11 @t96))
% 27.73/27.98  (define @t98 () (tptp.sdtlseqdt0 tptp.sz10 @t1))
% 27.73/27.98  (define @t99 () (not (= tptp.sz10 @t1)))
% 27.73/27.98  (define @t100 () (and @t99 @t98))
% 27.73/27.98  (define @t101 () (= @t1 tptp.sz10))
% 27.73/27.98  (define @t102 () (or @t53 @t101 @t100))
% 27.73/27.98  (define @t103 () (=> @t2 @t102))
% 27.73/27.98  (define @t104 () (forall @t3 @t103))
% 27.73/27.98  (define @t105 () (tptp.iLess0 @t1 @t6))
% 27.73/27.98  (define @t106 () (and @t23 (= @t6 @t41)))
% 27.73/27.98  (define @t107 () (tptp.doDivides0 @t1 @t6))
% 27.73/27.98  (define @t108 () (tptp.sdtsldt0 @t6 @t1))
% 27.73/27.98  (define @t109 () (and @t54 @t107))
% 27.73/27.98  (define @t110 () (tptp.doDivides0 @t1 @t19))
% 27.73/27.98  (define @t111 () (tptp.doDivides0 @t1 @t20))
% 27.73/27.98  (define @t112 () (or (= @t6 tptp.sz10) @t79))
% 27.73/27.98  (define @t113 () (tptp.doDivides0 @t6 @t1))
% 27.73/27.98  (define @t114 () (and @t9 @t113))
% 27.73/27.98  (define @t115 () (=> @t114 @t112))
% 27.73/27.98  (define @t116 () (@list @t6))
% 27.73/27.98  (define @t117 () (forall @t116 @t115))
% 27.73/27.98  (define @t118 () (not @t101))
% 27.73/27.98  (define @t119 () (and @t54 @t118 @t117))
% 27.73/27.98  (define @t120 () (tptp.isPrime0 @t1))
% 27.73/27.98  (define @t121 () (= @t120 @t119))
% 27.73/27.98  (define @t122 () (=> @t2 @t121))
% 27.73/27.98  (define @t123 () (forall @t3 @t122))
% 27.73/27.98  (define @t124 () (tptp.aNaturalNumber0 tptp.xp))
% 27.73/27.98  (define @t125 () (tptp.aNaturalNumber0 tptp.xm))
% 27.73/27.98  (define @t126 () (tptp.aNaturalNumber0 tptp.xn))
% 27.73/27.98  (define @t127 () (tptp.sdtpldt0 tptp.xn tptp.xm))
% 27.73/27.98  (define @t128 () (tptp.sdtpldt0 @t127 tptp.xp))
% 27.73/27.98  (define @t129 () (tptp.isPrime0 tptp.xp))
% 27.73/27.98  (define @t130 () (tptp.sdtlseqdt0 tptp.xp tptp.xn))
% 27.73/27.98  (define @t131 () (tptp.sdtmndt0 tptp.xn tptp.xp))
% 27.73/27.98  (define @t132 () (tptp.sdtpldt0 tptp.xr tptp.xm))
% 27.73/27.98  (define @t133 () (tptp.sdtpldt0 @t132 tptp.xp))
% 27.73/27.98  (define @t134 () (tptp.sdtlseqdt0 @t133 @t128))
% 27.73/27.98  (define @t135 () (not (= @t133 @t128)))
% 27.73/27.98  (define @t136 () (and @t135 @t134))
% 27.73/27.98  (define @t137 () (not @t136))
% 27.73/27.98  (define @t138 () (not @t9))
% 27.73/27.98  (define @t139 () (not @t2))
% 27.73/27.98  (define @t140 () (or @t139 @t138))
% 27.73/27.98  (define @t141 () (not @t10))
% 27.73/27.98  (define @t142 () (@list tptp.sz10 @t127))
% 27.73/27.98  (define @t143 () (tptp.aNaturalNumber0 @t127))
% 27.73/27.98  (define @t144 () (not @t125))
% 27.73/27.98  (define @t145 () (not @t126))
% 27.73/27.98  (define @t146 () (or @t145 @t144 @t143))
% 27.73/27.98  (define @t147 () (@list false false false))
% 27.73/27.98  (define @t148 () (tptp.sdtasdt0 @t127 tptp.sz10))
% 27.73/27.98  (define @t149 () (tptp.sdtasdt0 tptp.sz10 @t127))
% 27.73/27.98  (define @t150 () (= @t149 @t148))
% 27.73/27.98  (define @t151 () (not @t143))
% 27.73/27.98  (define @t152 () (not @t5))
% 27.73/27.98  (define @t153 () (or @t152 @t151 @t150))
% 27.73/27.98  (define @t154 () (and (= @t1 @t36) @t35))
% 27.73/27.98  (define @t155 () (@list @t127))
% 27.73/27.98  (define @t156 () (= @t127 @t148))
% 27.73/27.98  (define @t157 () (and @t156 (= @t127 @t149)))
% 27.73/27.98  (define @t158 () (or @t151 @t157))
% 27.73/27.98  (define @t159 () (@list false false))
% 27.73/27.98  (define @t160 () (@list false))
% 27.73/27.98  (define @t161 () (and (= @t1 @t28) @t27))
% 27.73/27.98  (define @t162 () (= @t127 (tptp.sdtpldt0 tptp.sz00 @t127)))
% 27.73/27.98  (define @t163 () (tptp.sdtpldt0 @t127 tptp.sz00))
% 27.73/27.98  (define @t164 () (= @t127 @t163))
% 27.73/27.98  (define @t165 () (and @t164 @t162))
% 27.73/27.98  (define @t166 () (or @t151 @t165))
% 27.73/27.98  (define @t167 () (not @t165))
% 27.73/27.98  (define @t168 () (@list @t165))
% 27.73/27.98  (define @t169 () (@var "BOUND_VARIABLE_7866" $$unsorted))
% 27.73/27.98  (define @t170 () (= @t63 @t169))
% 27.73/27.98  (define @t171 () (and (tptp.aNaturalNumber0 @t169) (= @t6 (tptp.sdtpldt0 @t1 @t169))))
% 27.73/27.98  (define @t172 () (= (= @t169 @t63) @t171))
% 27.73/27.98  (define @t173 () (not @t59))
% 27.73/27.98  (define @t174 () (or @t139 @t138 @t173 @t172))
% 27.73/27.98  (define @t175 () (@list @t1 @t6 @t169))
% 27.73/27.98  (define @t176 () (forall @t175 @t174))
% 27.73/27.98  (define @t177 () (@list @t169))
% 27.73/27.98  (define @t178 () (forall @t177 @t174))
% 27.73/27.98  (define @t179 () (forall @t177 @t172))
% 27.73/27.98  (define @t180 () (@list @t19))
% 27.73/27.98  (define @t181 () (or @t139 @t138 @t173 @t179))
% 27.73/27.98  (define @t182 () (= @t6 @t45))
% 27.73/27.98  (define @t183 () (and @t23 @t182))
% 27.73/27.98  (define @t184 () (forall @t57 (= @t64 @t183)))
% 27.73/27.98  (define @t185 () (or @t139 @t138 @t173 @t184))
% 27.73/27.98  (define @t186 () (=> @t59 @t184))
% 27.73/27.98  (define @t187 () (tptp.sdtpldt0 tptp.xp @t131))
% 27.73/27.98  (define @t188 () (= tptp.xn @t187))
% 27.73/27.98  (define @t189 () (tptp.aNaturalNumber0 @t131))
% 27.73/27.98  (define @t190 () (and @t189 @t188))
% 27.73/27.98  (define @t191 () (= @t131 @t131))
% 27.73/27.98  (define @t192 () (not @t130))
% 27.73/27.98  (define @t193 () (not @t124))
% 27.73/27.98  (define @t194 () (or @t193 @t145 @t192 (= @t190 @t191)))
% 27.73/27.98  (define @t195 () (forall @t175 (or @t139 @t138 @t173 (= @t171 @t170))))
% 27.73/27.98  (define @t196 () (or @t193 @t145 @t192 @t190))
% 27.73/27.98  (define @t197 () (@list false false false false))
% 27.73/27.98  (define @t198 () (not @t190))
% 27.73/27.98  (define @t199 () (@list @t190))
% 27.73/27.98  (define @t200 () (@list tptp.sz10 @t131))
% 27.73/27.98  (define @t201 () (tptp.sdtasdt0 @t131 tptp.sz10))
% 27.73/27.98  (define @t202 () (tptp.sdtasdt0 tptp.sz10 @t131))
% 27.73/27.98  (define @t203 () (= @t202 @t201))
% 27.73/27.98  (define @t204 () (not @t189))
% 27.73/27.98  (define @t205 () (or @t152 @t204 @t203))
% 27.73/27.98  (define @t206 () (= @t131 @t201))
% 27.73/27.98  (define @t207 () (and @t206 (= @t131 @t202)))
% 27.73/27.98  (define @t208 () (or @t204 @t207))
% 27.73/27.98  (define @t209 () (tptp.sdtpldt0 @t131 tptp.xm))
% 27.73/27.98  (define @t210 () (@list tptp.sz10 @t209))
% 27.73/27.98  (define @t211 () (tptp.aNaturalNumber0 @t202))
% 27.73/27.98  (define @t212 () (or @t152 @t204 @t211))
% 27.73/27.98  (define @t213 () (tptp.sdtpldt0 @t202 tptp.xm))
% 27.73/27.98  (define @t214 () (tptp.aNaturalNumber0 @t213))
% 27.73/27.98  (define @t215 () (not @t211))
% 27.73/27.98  (define @t216 () (or @t215 @t144 @t214))
% 27.73/27.98  (define @t217 () (tptp.aNaturalNumber0 @t209))
% 27.73/27.98  (define @t218 () (tptp.sdtasdt0 @t209 tptp.sz10))
% 27.73/27.98  (define @t219 () (tptp.sdtasdt0 tptp.sz10 @t209))
% 27.73/27.98  (define @t220 () (= @t219 @t218))
% 27.73/27.98  (define @t221 () (not @t217))
% 27.73/27.98  (define @t222 () (or @t152 @t221 @t220))
% 27.73/27.98  (define @t223 () (= @t209 @t218))
% 27.73/27.98  (define @t224 () (and @t223 (= @t209 @t219)))
% 27.73/27.98  (define @t225 () (or @t221 @t224))
% 27.73/27.98  (define @t226 () (not @t23))
% 27.73/27.98  (define @t227 () (or @t139 @t138 @t226))
% 27.73/27.98  (define @t228 () (not @t24))
% 27.73/27.98  (define @t229 () (tptp.sdtpldt0 tptp.xp @t213))
% 27.73/27.98  (define @t230 () (tptp.sdtpldt0 tptp.xp @t202))
% 27.73/27.98  (define @t231 () (tptp.sdtpldt0 @t230 tptp.xm))
% 27.73/27.98  (define @t232 () (= @t231 @t229))
% 27.73/27.98  (define @t233 () (or @t193 @t215 @t144 @t232))
% 27.73/27.98  (define @t234 () (and (not @t46) (not @t44)))
% 27.73/27.98  (define @t235 () (or @t139 @t138 @t226 @t234 @t42))
% 27.73/27.98  (define @t236 () (= tptp.sz00 tptp.xp))
% 27.73/27.98  (define @t237 () (tptp.sdtpldt0 tptp.xp @t149))
% 27.73/27.98  (define @t238 () (tptp.sdtpldt0 tptp.sz00 @t149))
% 27.73/27.98  (define @t239 () (= @t238 @t237))
% 27.73/27.98  (define @t240 () (not @t239))
% 27.73/27.98  (define @t241 () (tptp.sdtpldt0 @t149 tptp.sz00))
% 27.73/27.98  (define @t242 () (tptp.sdtpldt0 @t149 tptp.xp))
% 27.73/27.98  (define @t243 () (not (= @t241 @t242)))
% 27.73/27.98  (define @t244 () (and @t243 @t240))
% 27.73/27.98  (define @t245 () (not @t4))
% 27.73/27.98  (define @t246 () (tptp.aNaturalNumber0 @t149))
% 27.73/27.98  (define @t247 () (not @t246))
% 27.73/27.98  (define @t248 () (or @t247 @t245 @t193 @t244 @t236))
% 27.73/27.98  (define @t249 () (forall @t25 @t235))
% 27.73/27.98  (define @t250 () (not (= @t242 @t241)))
% 27.73/27.98  (define @t251 () (and @t250 @t240))
% 27.73/27.98  (define @t252 () (or @t247 @t245 @t193 @t251 @t236))
% 27.73/27.98  (define @t253 () (or @t152 @t151 @t246))
% 27.73/27.98  (define @t254 () (= tptp.sz10 @t6))
% 27.73/27.98  (define @t255 () (not @t113))
% 27.73/27.98  (define @t256 () (or @t138 @t255 @t254 @t69))
% 27.73/27.98  (define @t257 () (= @t120 (and @t54 @t118 (forall @t116 @t256))))
% 27.73/27.98  (define @t258 () (or @t254 @t69))
% 27.73/27.98  (define @t259 () (not (tptp.doDivides0 @t6 tptp.xp)))
% 27.73/27.98  (define @t260 () (or @t138 @t259 @t254 (= tptp.xp @t6)))
% 27.73/27.98  (define @t261 () (forall @t116 @t260))
% 27.73/27.98  (define @t262 () (= tptp.xp tptp.sz10))
% 27.73/27.98  (define @t263 () (not @t262))
% 27.73/27.98  (define @t264 () (= tptp.xp tptp.sz00))
% 27.73/27.98  (define @t265 () (not @t264))
% 27.73/27.98  (define @t266 () (and @t265 @t263 @t261))
% 27.73/27.98  (define @t267 () (= @t129 @t266))
% 27.73/27.98  (define @t268 () (or @t193 @t267))
% 27.73/27.98  (define @t269 () (forall @t3 (or @t139 @t257)))
% 27.73/27.98  (define @t270 () (@list tptp.xp))
% 27.73/27.98  (define @t271 () (= tptp.sz10 tptp.xp))
% 27.73/27.98  (define @t272 () (not @t271))
% 27.73/27.98  (define @t273 () (not @t236))
% 27.73/27.98  (define @t274 () (and @t273 @t272 (forall @t116 (or @t138 @t259 @t254 (= @t6 tptp.xp)))))
% 27.73/27.98  (define @t275 () (= @t129 @t274))
% 27.73/27.98  (define @t276 () (or @t193 @t275))
% 27.73/27.98  (define @t277 () (not @t274))
% 27.73/27.98  (define @t278 () (@list @t274))
% 27.73/27.98  (define @t279 () (= @t149 @t219))
% 27.73/27.98  (define @t280 () (and @t156 @t162 @t150 @t220 @t223 @t203 @t206 @t188 @t232 @t279))
% 27.73/27.98  (define @t281 () (tptp.aNaturalNumber0 @t219))
% 27.73/27.98  (define @t282 () (or @t152 @t221 @t281))
% 27.73/27.98  (define @t283 () (tptp.sdtpldt0 @t219 tptp.xp))
% 27.73/27.98  (define @t284 () (= @t242 @t283))
% 27.73/27.98  (define @t285 () (not @t284))
% 27.73/27.98  (define @t286 () (tptp.sdtpldt0 tptp.xp @t219))
% 27.73/27.98  (define @t287 () (and (not (= @t237 @t286)) @t285))
% 27.73/27.98  (define @t288 () (not @t281))
% 27.73/27.98  (define @t289 () (or @t193 @t247 @t288 @t287 @t279))
% 27.73/27.98  (define @t290 () (tptp.sdtpldt0 @t209 tptp.xp))
% 27.73/27.98  (define @t291 () (= @t128 @t290))
% 27.73/27.98  (define @t292 () (and @t291 @t156 @t150 @t220 @t223))
% 27.73/27.98  (define @t293 () (not @t291))
% 27.73/27.98  (define @t294 () (@list true false false false false))
% 27.73/27.98  (define @t295 () (tptp.sdtlseqdt0 @t290 @t128))
% 27.73/27.98  (define @t296 () (not @t295))
% 27.73/27.98  (define @t297 () (= @t128 @t133))
% 27.73/27.98  (define @t298 () (not @t297))
% 27.73/27.98  (define @t299 () (and @t298 @t134))
% 27.73/27.98  (define @t300 () (@list true))
% 27.73/27.98  (define @t301 () (@var "BOUND_VARIABLE_7922" $$unsorted))
% 27.73/27.98  (define @t302 () (tptp.sdtpldt0 @t6 @t301))
% 27.73/27.98  (define @t303 () (tptp.sdtpldt0 @t1 @t301))
% 27.73/27.98  (define @t304 () (tptp.sdtpldt0 @t301 @t6))
% 27.73/27.98  (define @t305 () (tptp.sdtpldt0 @t301 @t1))
% 27.73/27.98  (define @t306 () (and (not (= @t305 @t304)) (tptp.sdtlseqdt0 @t305 @t304) (not (= @t302 @t303)) (tptp.sdtlseqdt0 @t303 @t302)))
% 27.73/27.98  (define @t307 () (not (tptp.aNaturalNumber0 @t301)))
% 27.73/27.98  (define @t308 () (or @t139 @t138 @t69 @t173 @t307 @t306))
% 27.73/27.98  (define @t309 () (or @t307 @t306))
% 27.73/27.98  (define @t310 () (or @t139 @t138 @t69 @t173 @t309))
% 27.73/27.98  (define @t311 () (@list @t1 @t6 @t301))
% 27.73/27.98  (define @t312 () (forall @t311 @t310))
% 27.73/27.98  (define @t313 () (@list @t301))
% 27.73/27.98  (define @t314 () (forall @t313 @t310))
% 27.73/27.98  (define @t315 () (forall @t313 @t309))
% 27.73/27.98  (define @t316 () (or @t139 @t138 @t69 @t173 @t315))
% 27.73/27.98  (define @t317 () (and @t89 @t88 (not (= @t20 @t45)) @t85))
% 27.73/27.98  (define @t318 () (forall @t57 (or @t226 @t317)))
% 27.73/27.98  (define @t319 () (or @t139 @t138 @t69 @t173 @t318))
% 27.73/27.98  (define @t320 () (or @t69 @t173 @t318))
% 27.73/27.98  (define @t321 () (=> @t94 @t318))
% 27.73/27.98  (define @t322 () (tptp.sdtlseqdt0 @t238 @t237))
% 27.73/27.98  (define @t323 () (not (= @t237 @t238)))
% 27.73/27.98  (define @t324 () (tptp.sdtlseqdt0 @t241 @t242))
% 27.73/27.98  (define @t325 () (and @t243 @t324 @t323 @t322))
% 27.73/27.98  (define @t326 () (tptp.sdtlseqdt0 tptp.sz00 tptp.xp))
% 27.73/27.98  (define @t327 () (not @t326))
% 27.73/27.98  (define @t328 () (or @t245 @t193 @t236 @t327 @t247 @t325))
% 27.73/27.98  (define @t329 () (forall @t311 @t308))
% 27.73/27.98  (define @t330 () (and @t250 @t324 @t240 @t322))
% 27.73/27.98  (define @t331 () (or @t245 @t193 @t236 @t327 @t247 @t330))
% 27.73/27.98  (define @t332 () (and @t93 @t70))
% 27.73/27.98  (define @t333 () (or @t59 @t332))
% 27.73/27.98  (define @t334 () (not @t75))
% 27.73/27.98  (define @t335 () (or @t173 @t334 @t74))
% 27.73/27.98  (define @t336 () (and @t118 @t98))
% 27.73/27.98  (define @t337 () (or @t139 @t53 @t101 @t336))
% 27.73/27.98  (define @t338 () (or @t53 @t101 @t336))
% 27.73/27.98  (define @t339 () (tptp.sdtlseqdt0 tptp.sz10 tptp.xp))
% 27.73/27.98  (define @t340 () (and @t263 @t339))
% 27.73/27.98  (define @t341 () (or @t193 @t264 @t262 @t340))
% 27.73/27.98  (define @t342 () (forall @t3 @t337))
% 27.73/27.98  (define @t343 () (and @t272 @t339))
% 27.73/27.98  (define @t344 () (or @t193 @t236 @t271 @t343))
% 27.73/27.98  (define @t345 () (not @t70))
% 27.73/27.98  (define @t346 () (or @t173 @t345 @t69))
% 27.73/27.98  (define @t347 () (@list tptp.sz00 tptp.sz10))
% 27.73/27.98  (define @t348 () (= @t59 (not (forall @t57 (or @t226 (not @t182))))))
% 27.73/27.98  (define @t349 () (forall @t57 (not @t183)))
% 27.73/27.98  (define @t350 () (not @t349))
% 27.73/27.98  (define @t351 () (forall @t57 (or @t226 (not (= tptp.sz10 (tptp.sdtpldt0 tptp.sz00 @t19))))))
% 27.73/27.98  (define @t352 () (not @t351))
% 27.73/27.98  (define @t353 () (tptp.sdtlseqdt0 tptp.sz00 tptp.sz10))
% 27.73/27.98  (define @t354 () (= @t353 @t352))
% 27.73/27.98  (define @t355 () (or @t245 @t152 @t354))
% 27.73/27.98  (define @t356 () (@list tptp.sz10))
% 27.73/27.98  (define @t357 () (= tptp.sz10 (tptp.sdtpldt0 tptp.sz00 tptp.sz10)))
% 27.73/27.98  (define @t358 () (and (= tptp.sz10 (tptp.sdtpldt0 tptp.sz10 tptp.sz00)) @t357))
% 27.73/27.98  (define @t359 () (or @t152 @t358))
% 27.73/27.98  (define @t360 () (not @t357))
% 27.73/27.98  (define @t361 () (or @t152 @t360))
% 27.73/27.98  (define @t362 () (not @t361))
% 27.73/27.98  (define @t363 () (not @t354))
% 27.73/27.98  (define @t364 () (= tptp.sz00 tptp.sz10))
% 27.73/27.98  (define @t365 () (tptp.sdtlseqdt0 tptp.sz10 tptp.sz00))
% 27.73/27.98  (define @t366 () (not @t365))
% 27.73/27.98  (define @t367 () (not @t353))
% 27.73/27.98  (define @t368 () (or @t245 @t152 @t367 @t366 @t364))
% 27.73/27.98  (define @t369 () (tptp.sdtlseqdt0 tptp.xp tptp.sz00))
% 27.73/27.98  (define @t370 () (not @t369))
% 27.73/27.98  (define @t371 () (not @t339))
% 27.73/27.98  (define @t372 () (or @t152 @t193 @t245 @t371 @t370 @t365))
% 27.73/27.98  (define @t373 () (and @t273 @t369))
% 27.73/27.98  (define @t374 () (not @t373))
% 27.73/27.98  (define @t375 () (or @t245 @t193 @t326 @t373))
% 27.73/27.98  (define @t376 () (= @t286 @t283))
% 27.73/27.98  (define @t377 () (or @t193 @t288 @t376))
% 27.73/27.98  (define @t378 () (not @t376))
% 27.73/27.98  (define @t379 () (not @t324))
% 27.73/27.98  (define @t380 () (not @t232))
% 27.73/27.98  (define @t381 () (not @t188))
% 27.73/27.98  (define @t382 () (not @t206))
% 27.73/27.98  (define @t383 () (not @t203))
% 27.73/27.98  (define @t384 () (not @t223))
% 27.73/27.98  (define @t385 () (not @t220))
% 27.73/27.98  (define @t386 () (not @t150))
% 27.73/27.98  (define @t387 () (not @t164))
% 27.73/27.98  (define @t388 () (not @t156))
% 27.73/27.98  (define @t389 () (and @t324 @t150 @t156 @t164 @t188 @t206 @t203 @t232 @t223 @t220 @t376 @t296))
% 27.73/27.98  (assume @p1 (forall @t3 (=> @t2 true)))
% 27.73/27.98  (assume @p2 @t4)
% 27.73/27.98  (assume @p3 (and @t5 (not (= tptp.sz10 tptp.sz00))))
% 27.73/27.98  (assume @p4 @t12)
% 27.73/27.98  (assume @p5 @t15)
% 27.73/27.98  (assume @p6 @t18)
% 27.73/27.98  (assume @p7 @t26)
% 27.73/27.98  (assume @p8 @t31)
% 27.73/27.98  (assume @p9 @t34)
% 27.73/27.98  (assume @p10 (forall @t25 (=> @t24 (= (tptp.sdtasdt0 @t13 @t19) (tptp.sdtasdt0 @t1 (tptp.sdtasdt0 @t6 @t19))))))
% 27.73/27.98  (assume @p11 @t39)
% 27.73/27.98  (assume @p12 (forall @t3 (=> @t2 (and (= (tptp.sdtasdt0 @t1 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 @t1))))))
% 27.73/27.98  (assume @p13 (forall @t25 (=> @t24 (and (= (tptp.sdtasdt0 @t1 @t20) (tptp.sdtpldt0 @t13 @t41)) (= (tptp.sdtasdt0 @t20 @t1) (tptp.sdtpldt0 @t32 @t40))))))
% 27.73/27.98  (assume @p14 @t49)
% 27.73/27.98  (assume @p15 (forall @t3 (=> @t2 (=> @t54 (forall (@list @t6 @t19) (=> @t52 (=> (or @t51 @t50) @t42)))))))
% 27.73/27.98  (assume @p16 (forall @t11 (=> @t10 (=> (= @t7 tptp.sz00) (and @t53 @t55)))))
% 27.73/27.98  (assume @p17 (forall @t11 (=> @t10 (=> (= @t13 tptp.sz00) (or @t53 @t55)))))
% 27.73/27.98  (assume @p18 @t62)
% 27.73/27.98  (assume @p19 @t68)
% 27.73/27.98  (assume @p20 (forall @t3 (=> @t2 (tptp.sdtlseqdt0 @t1 @t1))))
% 27.73/27.98  (assume @p21 @t73)
% 27.73/27.98  (assume @p22 @t78)
% 27.73/27.98  (assume @p23 @t84)
% 27.73/27.98  (assume @p24 @t97)
% 27.73/27.98  (assume @p25 (forall @t25 (=> @t24 (=> (and @t54 (not @t42) @t75) (and (not @t51) (tptp.sdtlseqdt0 @t13 @t41) (not @t50) (tptp.sdtlseqdt0 @t32 @t40))))))
% 27.73/27.98  (assume @p26 @t104)
% 27.73/27.98  (assume @p27 (forall @t11 (=> @t10 (=> @t54 (tptp.sdtlseqdt0 @t6 @t32)))))
% 27.73/27.98  (assume @p28 (forall @t11 (=> @t10 (=> @t105 true))))
% 27.73/27.98  (assume @p29 (forall @t11 (=> @t10 (=> @t94 @t105))))
% 27.73/27.98  (assume @p30 (forall @t11 (=> @t10 (= @t107 (exists @t57 @t106)))))
% 27.73/27.98  (assume @p31 (forall @t11 (=> @t10 (=> @t109 (forall @t57 (= (= @t19 @t108) @t106))))))
% 27.73/27.98  (assume @p32 (forall @t25 (=> @t24 (=> (and @t107 (tptp.doDivides0 @t6 @t19)) @t110))))
% 27.73/27.98  (assume @p33 (forall @t25 (=> @t24 (=> (and @t107 @t110) @t111))))
% 27.73/27.98  (assume @p34 (forall @t25 (=> @t24 (=> (and @t107 @t111) @t110))))
% 27.73/27.98  (assume @p35 (forall @t11 (=> @t10 (=> (and @t107 (not @t55)) @t59))))
% 27.73/27.98  (assume @p36 (forall @t11 (=> @t10 (=> @t109 (forall @t57 (=> @t23 (= (tptp.sdtasdt0 @t19 @t108) (tptp.sdtsldt0 (tptp.sdtasdt0 @t19 @t6) @t1))))))))
% 27.73/27.98  (assume @p37 @t123)
% 27.73/27.98  (assume @p38 (forall @t3 (=> (and @t2 @t54 @t118) (exists @t116 (and @t9 @t113 (tptp.isPrime0 @t6))))))
% 27.73/27.98  (assume @p39 (and @t126 @t125 @t124))
% 27.73/27.98  (assume @p40 (forall @t25 (=> @t24 (=> (and (tptp.isPrime0 @t19) (tptp.doDivides0 @t19 @t13)) (=> (tptp.iLess0 @t21 @t128) (or (tptp.doDivides0 @t19 @t1) (tptp.doDivides0 @t19 @t6)))))))
% 27.73/27.98  (assume @p41 (and @t129 (tptp.doDivides0 tptp.xp (tptp.sdtasdt0 tptp.xn tptp.xm))))
% 27.73/27.98  (assume @p42 @t130)
% 27.73/27.98  (assume @p43 (= tptp.xr @t131))
% 27.73/27.98  (assume @p44 (and (not (= tptp.xr tptp.xn)) (tptp.sdtlseqdt0 tptp.xr tptp.xn)))
% 27.73/27.98  (assume @p45 (tptp.doDivides0 tptp.xp (tptp.sdtasdt0 tptp.xr tptp.xm)))
% 27.73/27.98  (assume @p46 @t137)
% 27.73/27.98  (assume @p47 true)
% 27.73/27.98  (step @p48 :rule aci_norm :args ((= (or @t140 @t33) (or @t139 @t138 @t33))))
% 27.73/27.98  (step @p49 :rule refl :args (@t33))
% 27.73/27.98  (step @p50 :rule bool-and-de-morgan :args (@t2 @t9 true))
% 27.73/27.98  (step @p51 :rule nary_cong :premises (@p50 @p49) :args ((or @t141 @t33)))
% 27.73/27.98  (step @p52 :rule trans :premises (@p51 @p48))
% 27.73/27.98  (step @p53 :rule bool-impl-elim :args (@t10 @t33))
% 27.73/27.98  (step @p54 :rule trans :premises (@p53 @p52))
% 27.73/27.98  (step @p55 :rule cong :premises (@p54) :args (@t34))
% 27.73/27.98  (step @p56 :rule eq_resolve :premises (@p9 @p55))
% 27.73/27.98  (step @p57 :rule instantiate :premises (@p56) :args (@t142))
% 27.73/27.98  (step @p58 :rule aci_norm :args ((= (or @t140 @t8) (or @t139 @t138 @t8))))
% 27.73/27.98  (step @p59 :rule refl :args (@t8))
% 27.73/27.98  (step @p60 :rule nary_cong :premises (@p50 @p59) :args ((or @t141 @t8)))
% 27.73/27.98  (step @p61 :rule trans :premises (@p60 @p58))
% 27.73/27.98  (step @p62 :rule bool-impl-elim :args (@t10 @t8))
% 27.73/27.98  (step @p63 :rule trans :premises (@p62 @p61))
% 27.73/27.98  (step @p64 :rule cong :premises (@p63) :args (@t12))
% 27.73/27.98  (step @p65 :rule eq_resolve :premises (@p4 @p64))
% 27.73/27.98  (step @p66 :rule instantiate :premises (@p65) :args ((@list tptp.xn tptp.xm)))
% 27.73/27.98  (step @p67 :rule and_elim :premises (@p39) :args (1))
% 27.73/27.98  (step @p68 :rule and_elim :premises (@p39) :args (0))
% 27.73/27.98  (step @p69 :rule cnf_or_pos :args (@t146))
% 27.73/27.98  (step @p70 :rule reordering :premises (@p69) :args ((or @t145 @t144 @t143 (not @t146))))
% 27.73/27.98  (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p67 @p66) :args (@t143 @t147 (@list @t126 @t125 @t146)))
% 27.73/27.98  (step @p72 :rule and_elim :premises (@p3) :args (0))
% 27.73/27.98  (step @p73 :rule cnf_or_pos :args (@t153))
% 27.73/27.98  (step @p74 :rule reordering :premises (@p73) :args ((or @t152 @t151 @t150 (not @t153))))
% 27.73/27.98  (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p71 @p57) :args (@t150 @t147 (@list @t5 @t143 @t153)))
% 27.73/27.98  (step @p76 :rule bool-impl-elim :args (@t2 @t154))
% 27.73/27.98  (step @p77 :rule cong :premises (@p76) :args ((forall @t3 (=> @t2 @t154))))
% 27.73/27.98  (step @p78 :rule refl :args (@t35))
% 27.73/27.98  (step @p79 :rule eq-symm :args (@t36 @t1))
% 27.73/27.98  (step @p80 :rule nary_cong :premises (@p79 @p78) :args (@t37))
% 27.73/27.98  (step @p81 :rule refl :args (@t2))
% 27.73/27.98  (step @p82 :rule cong :premises (@p81 @p80) :args (@t38))
% 27.73/27.98  (step @p83 :rule cong :premises (@p82) :args (@t39))
% 27.73/27.98  (step @p84 :rule trans :premises (@p83 @p77))
% 27.73/27.98  (step @p85 :rule eq_resolve :premises (@p11 @p84))
% 27.73/27.98  (step @p86 :rule instantiate :premises (@p85) :args (@t155))
% 27.73/27.98  (step @p87 :rule cnf_or_pos :args (@t158))
% 27.73/27.98  (step @p88 :rule reordering :premises (@p87) :args ((or @t151 @t157 (not @t158))))
% 27.73/27.98  (step @p89 :rule chain_m_resolution :premises (@p88 @p71 @p86) :args (@t157 @t159 (@list @t143 @t158)))
% 27.73/27.98  (step @p90 :rule cnf_and_pos :args (@t157 0))
% 27.73/27.98  (step @p91 :rule reordering :premises (@p90) :args ((or @t156 (not @t157))))
% 27.73/27.98  (step @p92 :rule chain_m_resolution :premises (@p91 @p89) :args (@t156 @t160 (@list @t157)))
% 27.73/27.98  (step @p93 :rule bool-impl-elim :args (@t2 @t161))
% 27.73/27.98  (step @p94 :rule cong :premises (@p93) :args ((forall @t3 (=> @t2 @t161))))
% 27.73/27.98  (step @p95 :rule refl :args (@t27))
% 27.73/27.98  (step @p96 :rule eq-symm :args (@t28 @t1))
% 27.73/27.98  (step @p97 :rule nary_cong :premises (@p96 @p95) :args (@t29))
% 27.73/27.98  (step @p98 :rule cong :premises (@p81 @p97) :args (@t30))
% 27.73/27.98  (step @p99 :rule cong :premises (@p98) :args (@t31))
% 27.73/27.98  (step @p100 :rule trans :premises (@p99 @p94))
% 27.73/27.98  (step @p101 :rule eq_resolve :premises (@p8 @p100))
% 27.73/27.98  (step @p102 :rule instantiate :premises (@p101) :args (@t155))
% 27.73/27.98  (step @p103 :rule cnf_or_pos :args (@t166))
% 27.73/27.98  (step @p104 :rule reordering :premises (@p103) :args ((or @t151 @t165 (not @t166))))
% 27.73/27.98  (step @p105 :rule chain_m_resolution :premises (@p104 @p71 @p102) :args (@t165 @t159 (@list @t143 @t166)))
% 27.73/27.98  (step @p106 :rule cnf_and_pos :args (@t165 0))
% 27.73/27.98  (step @p107 :rule reordering :premises (@p106) :args ((or @t164 @t167)))
% 27.73/27.98  (step @p108 :rule chain_m_resolution :premises (@p107 @p105) :args (@t164 @t160 @t168))
% 27.73/27.98  (step @p109 :rule eq-symm :args (@t170 @t171))
% 27.73/27.98  (step @p110 :rule refl :args (@t171))
% 27.73/27.98  (step @p111 :rule eq-symm :args (@t169 @t63))
% 27.73/27.98  (step @p112 :rule cong :premises (@p111 @p110) :args (@t172))
% 27.73/27.98  (step @p113 :rule trans :premises (@p112 @p109))
% 27.73/27.98  (step @p114 :rule refl :args (@t173))
% 27.73/27.98  (step @p115 :rule refl :args (@t138))
% 27.73/27.98  (step @p116 :rule refl :args (@t139))
% 27.73/27.98  (step @p117 :rule nary_cong :premises (@p116 @p115 @p114 @p113) :args (@t174))
% 27.73/27.98  (step @p118 :rule cong :premises (@p117) :args (@t176))
% 27.73/27.98  (step @p119 :rule quant-merge-prenex :args ((= (forall @t11 @t178) @t176)))
% 27.73/27.98  (step @p120 :rule alpha_equiv :args (@t179 (@list @t169) @t180))
% 27.73/27.98  (step @p121 :rule refl :args (@t173))
% 27.73/27.98  (step @p122 :rule refl :args (@t138))
% 27.73/27.98  (step @p123 :rule refl :args (@t139))
% 27.73/27.98  (step @p124 :rule nary_cong :premises (@p123 @p122 @p121 @p120) :args (@t181))
% 27.73/27.98  (step @p125 :rule quant-miniscope-or :args ((= @t178 @t181)))
% 27.73/27.98  (step @p126 :rule trans :premises (@p125 @p124))
% 27.73/27.98  (step @p127 :rule symm :premises (@p126))
% 27.73/27.98  (step @p128 :rule cong :premises (@p127) :args ((forall @t11 @t185)))
% 27.73/27.98  (step @p129 :rule trans :premises (@p128 @p119))
% 27.73/27.98  (step @p130 :rule trans :premises (@p129 @p118))
% 27.73/27.98  (step @p131 :rule aci_norm :args ((= (or @t140 (or @t173 @t184)) @t185)))
% 27.73/27.98  (step @p132 :rule bool-impl-elim :args (@t59 @t184))
% 27.73/27.98  (step @p133 :rule nary_cong :premises (@p50 @p132) :args ((or @t141 @t186)))
% 27.73/27.98  (step @p134 :rule trans :premises (@p133 @p131))
% 27.73/27.98  (step @p135 :rule bool-impl-elim :args (@t10 @t186))
% 27.73/27.98  (step @p136 :rule trans :premises (@p135 @p134))
% 27.73/27.98  (step @p137 :rule cong :premises (@p136) :args ((forall @t11 (=> @t10 @t186))))
% 27.73/27.98  (step @p138 :rule trans :premises (@p137 @p130))
% 27.73/27.98  (step @p139 :rule eq-symm :args (@t183 @t64))
% 27.73/27.98  (step @p140 :rule refl :args (@t64))
% 27.73/27.98  (step @p141 :rule eq-symm :args (@t45 @t6))
% 27.73/27.98  (step @p142 :rule refl :args (@t23))
% 27.73/27.98  (step @p143 :rule nary_cong :premises (@p142 @p141) :args (@t56))
% 27.73/27.98  (step @p144 :rule cong :premises (@p143 @p140) :args ((= @t56 @t64)))
% 27.73/27.98  (step @p145 :rule trans :premises (@p144 @p139))
% 27.73/27.98  (step @p146 :rule eq-symm :args (@t64 @t56))
% 27.73/27.98  (step @p147 :rule trans :premises (@p146 @p145))
% 27.73/27.98  (step @p148 :rule cong :premises (@p147) :args (@t65))
% 27.73/27.98  (step @p149 :rule refl :args (@t59))
% 27.73/27.98  (step @p150 :rule cong :premises (@p149 @p148) :args (@t66))
% 27.73/27.98  (step @p151 :rule refl :args (@t10))
% 27.73/27.98  (step @p152 :rule cong :premises (@p151 @p150) :args (@t67))
% 27.73/27.98  (step @p153 :rule cong :premises (@p152) :args (@t68))
% 27.73/27.98  (step @p154 :rule trans :premises (@p153 @p138))
% 27.73/27.98  (step @p155 :rule eq_resolve :premises (@p19 @p154))
% 27.73/27.98  (step @p156 :rule bool-eq-true :args (@t190))
% 27.73/27.98  (step @p157 :rule eq-symm :args (true @t190))
% 27.73/27.98  (step @p158 :rule trans :premises (@p157 @p156))
% 27.73/27.98  (step @p159 :rule refl :args (@t190))
% 27.73/27.98  (step @p160 :rule eq-refl :args (@t131))
% 27.73/27.98  (step @p161 :rule cong :premises (@p160 @p159) :args ((= @t191 @t190)))
% 27.73/27.98  (step @p162 :rule trans :premises (@p161 @p158))
% 27.73/27.98  (step @p163 :rule eq-symm :args (@t190 @t191))
% 27.73/27.98  (step @p164 :rule trans :premises (@p163 @p162))
% 27.73/27.98  (step @p165 :rule refl :args (@t192))
% 27.73/27.98  (step @p166 :rule refl :args (@t145))
% 27.73/27.98  (step @p167 :rule refl :args (@t193))
% 27.73/27.98  (step @p168 :rule nary_cong :premises (@p167 @p166 @p165 @p164) :args (@t194))
% 27.73/27.98  (step @p169 :rule refl :args (@t195))
% 27.73/27.98  (step @p170 :rule cong :premises (@p169 @p168) :args ((=> @t195 @t194)))
% 27.73/27.98  (assume-push @p795 @t195)
% 27.73/27.98  (step @p172 :rule instantiate :premises (@p155) :args ((@list tptp.xp tptp.xn @t131)))
% 27.73/27.98  (step-pop @p796 :rule scope :premises (@p172))
% 27.73/27.98  (step @p173 :rule process_scope :premises (@p796) :args (@t194))
% 27.73/27.98  (step @p175 :rule eq_resolve :premises (@p173 @p170))
% 27.73/27.98  (step @p176 :rule implies_elim :premises (@p175))
% 27.73/27.98  (step @p177 :rule chain_m_resolution :premises (@p176 @p155) :args (@t196 @t160 (@list @t195)))
% 27.73/27.98  (step @p178 :rule and_elim :premises (@p39) :args (2))
% 27.73/27.98  (step @p179 :rule cnf_or_pos :args (@t196))
% 27.73/27.98  (step @p180 :rule reordering :premises (@p179) :args ((or @t145 @t193 @t192 @t190 (not @t196))))
% 27.73/27.98  (step @p181 :rule chain_m_resolution :premises (@p180 @p68 @p178 @p42 @p177) :args (@t190 @t197 (@list @t126 @t124 @t130 @t196)))
% 27.73/27.98  (step @p182 :rule cnf_and_pos :args (@t190 1))
% 27.73/27.98  (step @p183 :rule reordering :premises (@p182) :args ((or @t188 @t198)))
% 27.73/27.98  (step @p184 :rule chain_m_resolution :premises (@p183 @p181) :args (@t188 @t160 @t199))
% 27.73/27.98  (step @p185 :rule instantiate :premises (@p56) :args (@t200))
% 27.73/27.98  (step @p186 :rule cnf_and_pos :args (@t190 0))
% 27.73/27.98  (step @p187 :rule reordering :premises (@p186) :args ((or @t189 @t198)))
% 27.73/27.98  (step @p188 :rule chain_m_resolution :premises (@p187 @p181) :args (@t189 @t160 @t199))
% 27.73/27.98  (step @p189 :rule cnf_or_pos :args (@t205))
% 27.73/27.98  (step @p190 :rule reordering :premises (@p189) :args ((or @t152 @t204 @t203 (not @t205))))
% 27.73/27.98  (step @p191 :rule chain_m_resolution :premises (@p190 @p72 @p188 @p185) :args (@t203 @t147 (@list @t5 @t189 @t205)))
% 27.73/27.98  (step @p192 :rule instantiate :premises (@p85) :args ((@list @t131)))
% 27.73/27.98  (step @p193 :rule cnf_or_pos :args (@t208))
% 27.73/27.98  (step @p194 :rule reordering :premises (@p193) :args ((or @t204 @t207 (not @t208))))
% 27.73/27.98  (step @p195 :rule chain_m_resolution :premises (@p194 @p188 @p192) :args (@t207 @t159 (@list @t189 @t208)))
% 27.73/27.98  (step @p196 :rule cnf_and_pos :args (@t207 0))
% 27.73/27.98  (step @p197 :rule reordering :premises (@p196) :args ((or @t206 (not @t207))))
% 27.73/27.98  (step @p198 :rule chain_m_resolution :premises (@p197 @p195) :args (@t206 @t160 (@list @t207)))
% 27.73/27.98  (step @p199 :rule instantiate :premises (@p56) :args (@t210))
% 27.73/27.98  (step @p200 :rule instantiate :premises (@p65) :args ((@list @t202 tptp.xm)))
% 27.73/27.98  (step @p201 :rule aci_norm :args ((= (or @t140 @t14) (or @t139 @t138 @t14))))
% 27.73/27.98  (step @p202 :rule refl :args (@t14))
% 27.73/27.98  (step @p203 :rule nary_cong :premises (@p50 @p202) :args ((or @t141 @t14)))
% 27.73/27.98  (step @p204 :rule trans :premises (@p203 @p201))
% 27.73/27.98  (step @p205 :rule bool-impl-elim :args (@t10 @t14))
% 27.73/27.98  (step @p206 :rule trans :premises (@p205 @p204))
% 27.73/27.98  (step @p207 :rule cong :premises (@p206) :args (@t15))
% 27.73/27.98  (step @p208 :rule eq_resolve :premises (@p5 @p207))
% 27.73/27.98  (step @p209 :rule instantiate :premises (@p208) :args (@t200))
% 27.73/27.98  (step @p210 :rule cnf_or_pos :args (@t212))
% 27.73/27.98  (step @p211 :rule reordering :premises (@p210) :args ((or @t152 @t204 @t211 (not @t212))))
% 27.73/27.98  (step @p212 :rule chain_m_resolution :premises (@p211 @p72 @p188 @p209) :args (@t211 @t147 (@list @t5 @t189 @t212)))
% 27.73/27.98  (step @p213 :rule cnf_or_pos :args (@t216))
% 27.73/27.98  (step @p214 :rule reordering :premises (@p213) :args ((or @t144 @t215 @t214 (not @t216))))
% 27.73/27.98  (step @p215 :rule chain_m_resolution :premises (@p214 @p67 @p212 @p200) :args (@t214 @t147 (@list @t125 @t211 @t216)))
% 27.73/27.98  (step @p216 :rule true_intro :premises (@p215))
% 27.73/27.98  (step @p217 :rule refl :args (tptp.xm))
% 27.73/27.98  (step @p218 :rule symm :premises (@p191))
% 27.73/27.98  (step @p219 :rule trans :premises (@p198 @p218))
% 27.73/27.98  (step @p220 :rule cong :premises (@p219 @p217) :args (@t209))
% 27.73/27.98  (step @p221 :rule cong :premises (@p220) :args (@t217))
% 27.73/27.98  (step @p222 :rule trans :premises (@p221 @p216))
% 27.73/27.98  (step @p223 :rule true_elim :premises (@p222))
% 27.73/27.98  (step @p224 :rule cnf_or_pos :args (@t222))
% 27.73/27.98  (step @p225 :rule reordering :premises (@p224) :args ((or @t152 @t221 @t220 (not @t222))))
% 27.73/27.98  (step @p226 :rule chain_m_resolution :premises (@p225 @p72 @p223 @p199) :args (@t220 @t147 (@list @t5 @t217 @t222)))
% 27.73/27.98  (step @p227 :rule instantiate :premises (@p85) :args ((@list @t209)))
% 27.73/27.98  (step @p228 :rule cnf_or_pos :args (@t225))
% 27.73/27.98  (step @p229 :rule reordering :premises (@p228) :args ((or @t221 @t224 (not @t225))))
% 27.73/27.98  (step @p230 :rule chain_m_resolution :premises (@p229 @p223 @p227) :args (@t224 @t159 (@list @t217 @t225)))
% 27.73/27.98  (step @p231 :rule cnf_and_pos :args (@t224 0))
% 27.73/27.98  (step @p232 :rule reordering :premises (@p231) :args ((or @t223 (not @t224))))
% 27.73/27.98  (step @p233 :rule chain_m_resolution :premises (@p232 @p230) :args (@t223 @t160 (@list @t224)))
% 27.73/27.98  (step @p234 :rule aci_norm :args ((= (or @t227 @t22) (or @t139 @t138 @t226 @t22))))
% 27.73/27.98  (step @p235 :rule refl :args (@t22))
% 27.73/27.98  (step @p236 :rule aci_norm :args ((= (or @t139 (or @t138 @t226)) @t227)))
% 27.73/27.98  (step @p237 :rule bool-and-de-morgan :args (@t9 @t23 true))
% 27.73/27.98  (step @p238 :rule nary_cong :premises (@p123 @p237) :args ((or @t139 (not @t52))))
% 27.73/27.98  (step @p239 :rule bool-and-de-morgan :args (@t2 @t9 (and @t23)))
% 27.73/27.98  (step @p240 :rule trans :premises (@p239 @p238))
% 27.73/27.98  (step @p241 :rule trans :premises (@p240 @p236))
% 27.73/27.98  (step @p242 :rule nary_cong :premises (@p241 @p235) :args ((or @t228 @t22)))
% 27.73/27.98  (step @p243 :rule trans :premises (@p242 @p234))
% 27.73/27.98  (step @p244 :rule bool-impl-elim :args (@t24 @t22))
% 27.73/27.98  (step @p245 :rule trans :premises (@p244 @p243))
% 27.73/27.98  (step @p246 :rule cong :premises (@p245) :args (@t26))
% 27.73/27.98  (step @p247 :rule eq_resolve :premises (@p7 @p246))
% 27.73/27.98  (step @p248 :rule instantiate :premises (@p247) :args ((@list tptp.xp @t202 tptp.xm)))
% 27.73/27.98  (step @p249 :rule cnf_or_pos :args (@t233))
% 27.73/27.98  (step @p250 :rule reordering :premises (@p249) :args ((or @t144 @t193 @t215 @t232 (not @t233))))
% 27.73/27.98  (step @p251 :rule chain_m_resolution :premises (@p250 @p67 @p178 @p212 @p248) :args (@t232 @t197 (@list @t125 @t124 @t211 @t233)))
% 27.73/27.98  (step @p252 :rule aci_norm :args ((= (or @t227 (or @t234 @t42)) @t235)))
% 27.73/27.98  (step @p253 :rule refl :args (@t42))
% 27.73/27.98  (step @p254 :rule bool-or-de-morgan :args (@t46 @t44 false))
% 27.73/27.98  (step @p255 :rule nary_cong :premises (@p254 @p253) :args ((or (not @t47) @t42)))
% 27.73/27.98  (step @p256 :rule bool-impl-elim :args (@t47 @t42))
% 27.73/27.98  (step @p257 :rule trans :premises (@p256 @p255))
% 27.73/27.98  (step @p258 :rule nary_cong :premises (@p241 @p257) :args ((or @t228 @t48)))
% 27.73/27.98  (step @p259 :rule trans :premises (@p258 @p252))
% 27.73/27.98  (step @p260 :rule bool-impl-elim :args (@t24 @t48))
% 27.73/27.98  (step @p261 :rule trans :premises (@p260 @p259))
% 27.73/27.98  (step @p262 :rule cong :premises (@p261) :args (@t49))
% 27.73/27.98  (step @p263 :rule eq_resolve :premises (@p14 @p262))
% 27.73/27.98  (step @p264 :rule instantiate :premises (@p263) :args ((@list tptp.xp @t149 @t219)))
% 27.73/27.98  (step @p265 :rule cnf_and_pos :args (@t165 1))
% 27.73/27.98  (step @p266 :rule reordering :premises (@p265) :args ((or @t162 @t167)))
% 27.73/27.98  (step @p267 :rule chain_m_resolution :premises (@p266 @p105) :args (@t162 @t160 @t168))
% 27.73/27.98  (step @p268 :rule refl :args (@t236))
% 27.73/27.98  (step @p269 :rule refl :args (@t240))
% 27.73/27.98  (step @p270 :rule eq-symm :args (@t241 @t242))
% 27.73/27.98  (step @p271 :rule cong :premises (@p270) :args (@t243))
% 27.73/27.98  (step @p272 :rule nary_cong :premises (@p271 @p269) :args (@t244))
% 27.73/27.98  (step @p273 :rule refl :args (@t245))
% 27.73/27.98  (step @p274 :rule refl :args (@t247))
% 27.73/27.98  (step @p275 :rule nary_cong :premises (@p274 @p273 @p167 @p272 @p268) :args (@t248))
% 27.73/27.98  (step @p276 :rule refl :args (@t249))
% 27.73/27.98  (step @p277 :rule cong :premises (@p276 @p275) :args ((=> @t249 @t248)))
% 27.73/27.98  (assume-push @p797 @t249)
% 27.73/27.98  (step @p279 :rule instantiate :premises (@p263) :args ((@list @t149 tptp.sz00 tptp.xp)))
% 27.73/27.98  (step-pop @p798 :rule scope :premises (@p279))
% 27.73/27.98  (step @p280 :rule process_scope :premises (@p798) :args (@t248))
% 27.73/27.98  (step @p282 :rule eq_resolve :premises (@p280 @p277))
% 27.73/27.98  (step @p283 :rule implies_elim :premises (@p282))
% 27.73/27.98  (step @p284 :rule chain_m_resolution :premises (@p283 @p263) :args (@t252 @t160 (@list @t249)))
% 27.73/27.98  (step @p285 :rule instantiate :premises (@p208) :args (@t142))
% 27.73/27.98  (step @p286 :rule cnf_or_pos :args (@t253))
% 27.73/27.98  (step @p287 :rule reordering :premises (@p286) :args ((or @t152 @t151 @t246 (not @t253))))
% 27.73/27.98  (step @p288 :rule chain_m_resolution :premises (@p287 @p72 @p71 @p285) :args (@t246 @t147 (@list @t5 @t143 @t253)))
% 27.73/27.98  (step @p289 :rule bool-impl-elim :args (@t2 @t257))
% 27.73/27.98  (step @p290 :rule cong :premises (@p289) :args ((forall @t3 (=> @t2 @t257))))
% 27.73/27.98  (step @p291 :rule aci_norm :args ((= (or (or @t138 @t255) @t258) @t256)))
% 27.73/27.98  (step @p292 :rule refl :args (@t258))
% 27.73/27.98  (step @p293 :rule bool-and-de-morgan :args (@t9 @t113 true))
% 27.73/27.98  (step @p294 :rule nary_cong :premises (@p293 @p292) :args ((or (not @t114) @t258)))
% 27.73/27.98  (step @p295 :rule trans :premises (@p294 @p291))
% 27.73/27.98  (step @p296 :rule bool-impl-elim :args (@t114 @t258))
% 27.73/27.98  (step @p297 :rule trans :premises (@p296 @p295))
% 27.73/27.98  (step @p298 :rule cong :premises (@p297) :args ((forall @t116 (=> @t114 @t258))))
% 27.73/27.98  (step @p299 :rule eq-symm :args (@t6 @t1))
% 27.73/27.98  (step @p300 :rule eq-symm :args (@t6 tptp.sz10))
% 27.73/27.98  (step @p301 :rule nary_cong :premises (@p300 @p299) :args (@t112))
% 27.73/27.98  (step @p302 :rule refl :args (@t114))
% 27.73/27.98  (step @p303 :rule cong :premises (@p302 @p301) :args (@t115))
% 27.73/27.98  (step @p304 :rule cong :premises (@p303) :args (@t117))
% 27.73/27.98  (step @p305 :rule trans :premises (@p304 @p298))
% 27.73/27.98  (step @p306 :rule refl :args (@t118))
% 27.73/27.98  (step @p307 :rule refl :args (@t54))
% 27.73/27.98  (step @p308 :rule nary_cong :premises (@p307 @p306 @p305) :args (@t119))
% 27.73/27.98  (step @p309 :rule refl :args (@t120))
% 27.73/27.98  (step @p310 :rule cong :premises (@p309 @p308) :args (@t121))
% 27.73/27.98  (step @p311 :rule cong :premises (@p81 @p310) :args (@t122))
% 27.73/27.98  (step @p312 :rule cong :premises (@p311) :args (@t123))
% 27.73/27.98  (step @p313 :rule trans :premises (@p312 @p290))
% 27.73/27.98  (step @p314 :rule eq_resolve :premises (@p37 @p313))
% 27.73/27.98  (step @p315 :rule eq-symm :args (tptp.xp @t6))
% 27.73/27.98  (step @p316 :rule refl :args (@t254))
% 27.73/27.98  (step @p317 :rule refl :args (@t259))
% 27.73/27.98  (step @p318 :rule nary_cong :premises (@p115 @p317 @p316 @p315) :args (@t260))
% 27.73/27.98  (step @p319 :rule cong :premises (@p318) :args (@t261))
% 27.73/27.98  (step @p320 :rule eq-symm :args (tptp.xp tptp.sz10))
% 27.73/27.98  (step @p321 :rule cong :premises (@p320) :args (@t263))
% 27.73/27.98  (step @p322 :rule eq-symm :args (tptp.xp tptp.sz00))
% 27.73/27.98  (step @p323 :rule cong :premises (@p322) :args (@t265))
% 27.73/27.98  (step @p324 :rule nary_cong :premises (@p323 @p321 @p319) :args (@t266))
% 27.73/27.98  (step @p325 :rule refl :args (@t129))
% 27.73/27.98  (step @p326 :rule cong :premises (@p325 @p324) :args (@t267))
% 27.73/27.98  (step @p327 :rule nary_cong :premises (@p167 @p326) :args (@t268))
% 27.73/27.98  (step @p328 :rule refl :args (@t269))
% 27.73/27.98  (step @p329 :rule cong :premises (@p328 @p327) :args ((=> @t269 @t268)))
% 27.73/27.98  (assume-push @p799 @t269)
% 27.73/27.98  (step @p331 :rule instantiate :premises (@p314) :args (@t270))
% 27.73/27.98  (step-pop @p800 :rule scope :premises (@p331))
% 27.73/27.98  (step @p332 :rule process_scope :premises (@p800) :args (@t268))
% 27.73/27.98  (step @p334 :rule eq_resolve :premises (@p332 @p329))
% 27.73/27.98  (step @p335 :rule implies_elim :premises (@p334))
% 27.73/27.98  (step @p336 :rule chain_m_resolution :premises (@p335 @p314) :args (@t276 @t160 (@list @t269)))
% 27.73/27.98  (step @p337 :rule cnf_or_pos :args (@t276))
% 27.73/27.98  (step @p338 :rule reordering :premises (@p337) :args ((or @t193 @t275 (not @t276))))
% 27.73/27.98  (step @p339 :rule chain_m_resolution :premises (@p338 @p178 @p336) :args (@t275 @t159 (@list @t124 @t276)))
% 27.73/27.98  (step @p340 :rule and_elim :premises (@p41) :args (0))
% 27.73/27.98  (step @p341 :rule cnf_equiv_pos1 :args (@t275))
% 27.73/27.98  (step @p342 :rule reordering :premises (@p341) :args ((or (not @t129) @t274 (not @t275))))
% 27.73/27.98  (step @p343 :rule chain_m_resolution :premises (@p342 @p340 @p339) :args (@t274 @t159 (@list @t129 @t275)))
% 27.73/27.98  (step @p344 :rule cnf_and_pos :args (@t274 0))
% 27.73/27.98  (step @p345 :rule reordering :premises (@p344) :args ((or @t273 @t277)))
% 27.73/27.98  (step @p346 :rule chain_m_resolution :premises (@p345 @p343) :args (@t273 @t160 @t278))
% 27.73/27.98  (step @p347 :rule cnf_or_pos :args (@t252))
% 27.73/27.98  (step @p348 :rule reordering :premises (@p347) :args ((or @t245 @t193 @t236 @t247 @t251 (not @t252))))
% 27.73/27.98  (step @p349 :rule chain_m_resolution :premises (@p348 @p2 @p178 @p346 @p288 @p284) :args (@t251 (@list false false true false false) (@list @t4 @t124 @t236 @t246 @t252)))
% 27.73/27.98  (step @p350 :rule cnf_and_pos :args (@t251 1))
% 27.73/27.98  (step @p351 :rule reordering :premises (@p350) :args ((or @t240 (not @t251))))
% 27.73/27.98  (step @p352 :rule chain_m_resolution :premises (@p351 @p349) :args (@t240 @t160 (@list @t251)))
% 27.73/27.98  (assume-push @p801 @t156)
% 27.73/27.98  (assume-push @p802 @t162)
% 27.73/27.98  (assume-push @p803 @t150)
% 27.73/27.98  (assume-push @p804 @t220)
% 27.73/27.98  (assume-push @p805 @t223)
% 27.73/27.98  (assume-push @p806 @t203)
% 27.73/27.98  (assume-push @p807 @t206)
% 27.73/27.98  (assume-push @p808 @t188)
% 27.73/27.98  (assume-push @p809 @t232)
% 27.73/27.98  (assume-push @p810 @t279)
% 27.73/27.98  (assume-push @p811 @t279)
% 27.73/27.98  (assume-push @p812 @t220)
% 27.73/27.98  (assume-push @p813 @t223)
% 27.73/27.98  (assume-push @p814 @t206)
% 27.73/27.98  (assume-push @p815 @t203)
% 27.73/27.98  (assume-push @p816 @t232)
% 27.73/27.98  (assume-push @p817 @t188)
% 27.73/27.98  (assume-push @p818 @t162)
% 27.73/27.98  (assume-push @p819 @t156)
% 27.73/27.98  (assume-push @p820 @t150)
% 27.73/27.98  (step @p373 :rule symm :premises (@p810))
% 27.73/27.98  (step @p374 :rule symm :premises (@p226))
% 27.73/27.98  (step @p375 :rule symm :premises (@p198))
% 27.73/27.98  (step @p376 :rule trans :premises (@p191 @p375))
% 27.73/27.98  (step @p377 :rule cong :premises (@p376 @p217) :args (@t213))
% 27.73/27.98  (step @p378 :rule trans :premises (@p377 @p233 @p374 @p373))
% 27.73/27.98  (step @p379 :rule refl :args (tptp.xp))
% 27.73/27.98  (step @p380 :rule cong :premises (@p379 @p378) :args (@t229))
% 27.73/27.98  (step @p381 :rule cong :premises (@p379 @p219) :args (@t187))
% 27.73/27.98  (step @p382 :rule trans :premises (@p184 @p381))
% 27.73/27.98  (step @p383 :rule cong :premises (@p382 @p217) :args (@t127))
% 27.73/27.98  (step @p384 :rule symm :premises (@p267))
% 27.73/27.98  (step @p385 :rule symm :premises (@p92))
% 27.73/27.98  (step @p386 :rule trans :premises (@p75 @p385))
% 27.73/27.98  (step @p387 :rule refl :args (tptp.sz00))
% 27.73/27.98  (step @p388 :rule cong :premises (@p387 @p386) :args (@t238))
% 27.73/27.98  (step @p389 :rule trans :premises (@p388 @p384 @p383 @p251 @p380))
% 27.73/27.98  (step-pop @p821 :rule scope :premises (@p389))
% 27.73/27.98  (step-pop @p822 :rule scope :premises (@p821))
% 27.73/27.98  (step-pop @p823 :rule scope :premises (@p822))
% 27.73/27.98  (step-pop @p824 :rule scope :premises (@p823))
% 27.73/27.98  (step-pop @p825 :rule scope :premises (@p824))
% 27.73/27.98  (step-pop @p826 :rule scope :premises (@p825))
% 27.73/27.98  (step-pop @p827 :rule scope :premises (@p826))
% 27.73/27.98  (step-pop @p828 :rule scope :premises (@p827))
% 27.73/27.98  (step-pop @p829 :rule scope :premises (@p828))
% 27.73/27.98  (step-pop @p830 :rule scope :premises (@p829))
% 27.73/27.98  (step @p390 :rule process_scope :premises (@p830) :args (@t239))
% 27.73/27.98  (step @p401 :rule and_intro :premises (@p810 @p226 @p233 @p198 @p191 @p251 @p184 @p267 @p92 @p75))
% 27.73/27.98  (step @p402 :rule modus_ponens :premises (@p401 @p390))
% 27.73/27.98  (step-pop @p831 :rule scope :premises (@p402))
% 27.73/27.98  (step-pop @p832 :rule scope :premises (@p831))
% 27.73/27.98  (step-pop @p833 :rule scope :premises (@p832))
% 27.73/27.98  (step-pop @p834 :rule scope :premises (@p833))
% 27.73/27.98  (step-pop @p835 :rule scope :premises (@p834))
% 27.73/27.98  (step-pop @p836 :rule scope :premises (@p835))
% 27.73/27.98  (step-pop @p837 :rule scope :premises (@p836))
% 27.73/27.98  (step-pop @p838 :rule scope :premises (@p837))
% 27.73/27.98  (step-pop @p839 :rule scope :premises (@p838))
% 27.73/27.98  (step-pop @p840 :rule scope :premises (@p839))
% 27.73/27.98  (step @p403 :rule process_scope :premises (@p840) :args (@t239))
% 27.73/27.98  (step @p414 :rule implies_elim :premises (@p403))
% 27.73/27.98  (step @p415 :rule cnf_and_neg :args (@t280))
% 27.73/27.98  (step @p416 :rule resolution :premises (@p415 @p414) :args (true @t280))
% 27.73/27.98  (step @p417 :rule chain_m_resolution :premises (@p416 @p352 @p251 @p233 @p226 @p198 @p191 @p184 @p267 @p92 @p75) :args ((not @t279) (@list true false false false false false false false false false) (@list @t239 @t232 @t223 @t220 @t206 @t203 @t188 @t162 @t156 @t150)))
% 27.73/27.98  (step @p418 :rule instantiate :premises (@p208) :args (@t210))
% 27.73/27.98  (step @p419 :rule cnf_or_pos :args (@t282))
% 27.73/27.98  (step @p420 :rule reordering :premises (@p419) :args ((or @t152 @t221 @t281 (not @t282))))
% 27.73/27.98  (step @p421 :rule chain_m_resolution :premises (@p420 @p72 @p223 @p418) :args (@t281 @t147 (@list @t5 @t217 @t282)))
% 27.73/27.98  (step @p422 :rule cnf_or_pos :args (@t289))
% 27.73/27.98  (step @p423 :rule reordering :premises (@p422) :args ((or @t193 @t247 @t288 @t287 @t279 (not @t289))))
% 27.73/27.98  (step @p424 :rule chain_m_resolution :premises (@p423 @p178 @p288 @p421 @p417 @p264) :args (@t287 (@list false false false true false) (@list @t124 @t246 @t281 @t279 @t289)))
% 27.73/27.98  (step @p425 :rule cnf_and_pos :args (@t287 1))
% 27.73/27.98  (step @p426 :rule reordering :premises (@p425) :args ((or @t285 (not @t287))))
% 27.73/27.98  (step @p427 :rule chain_m_resolution :premises (@p426 @p424) :args (@t285 @t160 (@list @t287)))
% 27.73/27.98  (assume-push @p841 @t291)
% 27.73/27.98  (assume-push @p842 @t156)
% 27.73/27.98  (assume-push @p843 @t150)
% 27.73/27.98  (assume-push @p844 @t220)
% 27.73/27.98  (assume-push @p845 @t223)
% 27.73/27.98  (assume-push @p846 @t220)
% 27.73/27.98  (assume-push @p847 @t223)
% 27.73/27.98  (assume-push @p848 @t291)
% 27.73/27.98  (assume-push @p849 @t156)
% 27.73/27.98  (assume-push @p850 @t150)
% 27.73/27.98  (step @p379 :rule refl :args (tptp.xp))
% 27.73/27.98  (step @p374 :rule symm :premises (@p226))
% 27.73/27.98  (step @p438 :rule trans :premises (@p233 @p374))
% 27.73/27.98  (step @p439 :rule cong :premises (@p438 @p379) :args (@t290))
% 27.73/27.98  (step @p385 :rule symm :premises (@p92))
% 27.73/27.98  (step @p386 :rule trans :premises (@p75 @p385))
% 27.73/27.98  (step @p440 :rule cong :premises (@p386 @p379) :args (@t242))
% 27.73/27.98  (step @p441 :rule trans :premises (@p440 @p841 @p439))
% 27.73/27.98  (step-pop @p851 :rule scope :premises (@p441))
% 27.73/27.98  (step-pop @p852 :rule scope :premises (@p851))
% 27.73/27.98  (step-pop @p853 :rule scope :premises (@p852))
% 27.73/27.98  (step-pop @p854 :rule scope :premises (@p853))
% 27.73/27.98  (step-pop @p855 :rule scope :premises (@p854))
% 27.73/27.98  (step @p442 :rule process_scope :premises (@p855) :args (@t284))
% 27.73/27.98  (step @p448 :rule and_intro :premises (@p226 @p233 @p841 @p92 @p75))
% 27.73/27.98  (step @p449 :rule modus_ponens :premises (@p448 @p442))
% 27.73/27.98  (step-pop @p856 :rule scope :premises (@p449))
% 27.73/27.98  (step-pop @p857 :rule scope :premises (@p856))
% 27.73/27.98  (step-pop @p858 :rule scope :premises (@p857))
% 27.73/27.98  (step-pop @p859 :rule scope :premises (@p858))
% 27.73/27.98  (step-pop @p860 :rule scope :premises (@p859))
% 27.73/27.98  (step @p450 :rule process_scope :premises (@p860) :args (@t284))
% 27.73/27.98  (step @p456 :rule implies_elim :premises (@p450))
% 27.73/27.98  (step @p457 :rule cnf_and_neg :args (@t292))
% 27.73/27.98  (step @p458 :rule resolution :premises (@p457 @p456) :args (true @t292))
% 27.73/27.98  (step @p459 :rule chain_m_resolution :premises (@p458 @p427 @p233 @p226 @p92 @p75) :args (@t293 @t294 (@list @t284 @t223 @t220 @t156 @t150)))
% 27.73/27.98  (step @p460 :rule refl :args (@t296))
% 27.73/27.98  (step @p461 :rule bool-double-not-elim :args (@t291))
% 27.73/27.98  (step @p462 :rule nary_cong :premises (@p461 @p460) :args ((or (not @t293) @t296)))
% 27.73/27.98  (step @p463 :rule refl :args (@t128))
% 27.73/27.98  (step @p379 :rule refl :args (tptp.xp))
% 27.73/27.98  (step @p464 :rule cong :premises (@p43 @p217) :args (@t132))
% 27.73/27.98  (step @p465 :rule cong :premises (@p464 @p379) :args (@t133))
% 27.73/27.98  (step @p466 :rule cong :premises (@p465 @p463) :args (@t134))
% 27.73/27.98  (step @p467 :rule cong :premises (@p463 @p465) :args (@t297))
% 27.73/27.98  (step @p468 :rule cong :premises (@p467) :args (@t298))
% 27.73/27.98  (step @p469 :rule nary_cong :premises (@p468 @p466) :args (@t299))
% 27.73/27.98  (step @p470 :rule cong :premises (@p469) :args ((not @t299)))
% 27.73/27.98  (step @p471 :rule refl :args (@t134))
% 27.73/27.98  (step @p472 :rule eq-symm :args (@t133 @t128))
% 27.73/27.98  (step @p473 :rule cong :premises (@p472) :args (@t135))
% 27.73/27.98  (step @p474 :rule nary_cong :premises (@p473 @p471) :args (@t136))
% 27.73/27.98  (step @p475 :rule cong :premises (@p474) :args (@t137))
% 27.73/27.98  (step @p476 :rule trans :premises (@p475 @p470))
% 27.73/27.98  (step @p477 :rule eq_resolve :premises (@p46 @p476))
% 27.73/27.98  (step @p478 :rule not_and :premises (@p477))
% 27.73/27.98  (step @p479 :rule eq_resolve :premises (@p478 @p462))
% 27.73/27.98  (step @p480 :rule chain_m_resolution :premises (@p479 @p459) :args (@t296 @t300 (@list @t291)))
% 27.73/27.98  (step @p481 :rule aci_norm :args ((= @t310 @t308)))
% 27.73/27.98  (step @p482 :rule cong :premises (@p481) :args (@t312))
% 27.73/27.98  (step @p483 :rule quant-merge-prenex :args ((= (forall @t11 @t314) @t312)))
% 27.73/27.98  (step @p484 :rule alpha_equiv :args (@t315 (@list @t301) @t180))
% 27.73/27.98  (step @p485 :rule refl :args (@t69))
% 27.73/27.98  (step @p486 :rule nary_cong :premises (@p123 @p122 @p485 @p121 @p484) :args (@t316))
% 27.73/27.98  (step @p487 :rule quant-miniscope-or :args ((= @t314 @t316)))
% 27.73/27.98  (step @p488 :rule trans :premises (@p487 @p486))
% 27.73/27.98  (step @p489 :rule symm :premises (@p488))
% 27.73/27.98  (step @p490 :rule cong :premises (@p489) :args ((forall @t11 @t319)))
% 27.73/27.98  (step @p491 :rule trans :premises (@p490 @p483))
% 27.73/27.98  (step @p492 :rule trans :premises (@p491 @p482))
% 27.73/27.98  (step @p493 :rule aci_norm :args ((= (or @t140 @t320) @t319)))
% 27.73/27.98  (step @p494 :rule aci_norm :args ((= (or (or @t69 @t173) @t318) @t320)))
% 27.73/27.98  (step @p495 :rule refl :args (@t318))
% 27.73/27.98  (step @p496 :rule bool-double-not-elim :args (@t69))
% 27.73/27.98  (step @p497 :rule nary_cong :premises (@p496 @p121) :args ((or (not @t93) @t173)))
% 27.73/27.98  (step @p498 :rule bool-and-de-morgan :args (@t93 @t59 true))
% 27.73/27.98  (step @p499 :rule trans :premises (@p498 @p497))
% 27.73/27.98  (step @p500 :rule nary_cong :premises (@p499 @p495) :args ((or (not @t94) @t318)))
% 27.73/27.98  (step @p501 :rule trans :premises (@p500 @p494))
% 27.73/27.98  (step @p502 :rule bool-impl-elim :args (@t94 @t318))
% 27.73/27.98  (step @p503 :rule trans :premises (@p502 @p501))
% 27.73/27.98  (step @p504 :rule nary_cong :premises (@p50 @p503) :args ((or @t141 @t321)))
% 27.73/27.98  (step @p505 :rule trans :premises (@p504 @p493))
% 27.73/27.98  (step @p506 :rule bool-impl-elim :args (@t10 @t321))
% 27.73/27.98  (step @p507 :rule trans :premises (@p506 @p505))
% 27.73/27.98  (step @p508 :rule cong :premises (@p507) :args ((forall @t11 (=> @t10 @t321))))
% 27.73/27.98  (step @p509 :rule trans :premises (@p508 @p492))
% 27.73/27.98  (step @p510 :rule bool-impl-elim :args (@t23 @t317))
% 27.73/27.98  (step @p511 :rule cong :premises (@p510) :args ((forall @t57 (=> @t23 @t317))))
% 27.73/27.98  (step @p512 :rule refl :args (@t85))
% 27.73/27.98  (step @p513 :rule eq-symm :args (@t45 @t20))
% 27.73/27.98  (step @p514 :rule cong :premises (@p513) :args (@t86))
% 27.73/27.98  (step @p515 :rule refl :args (@t88))
% 27.73/27.98  (step @p516 :rule refl :args (@t89))
% 27.73/27.98  (step @p517 :rule nary_cong :premises (@p516 @p515 @p514 @p512) :args (@t90))
% 27.73/27.98  (step @p518 :rule cong :premises (@p142 @p517) :args (@t91))
% 27.73/27.98  (step @p519 :rule cong :premises (@p518) :args (@t92))
% 27.73/27.98  (step @p520 :rule trans :premises (@p519 @p511))
% 27.73/27.98  (step @p521 :rule refl :args (@t94))
% 27.73/27.98  (step @p522 :rule cong :premises (@p521 @p520) :args (@t95))
% 27.73/27.98  (step @p523 :rule cong :premises (@p151 @p522) :args (@t96))
% 27.73/27.98  (step @p524 :rule cong :premises (@p523) :args (@t97))
% 27.73/27.98  (step @p525 :rule trans :premises (@p524 @p509))
% 27.73/27.98  (step @p526 :rule eq_resolve :premises (@p24 @p525))
% 27.73/27.98  (step @p527 :rule refl :args (@t322))
% 27.73/27.98  (step @p528 :rule eq-symm :args (@t237 @t238))
% 27.73/27.98  (step @p529 :rule cong :premises (@p528) :args (@t323))
% 27.73/27.98  (step @p530 :rule refl :args (@t324))
% 27.73/27.98  (step @p531 :rule nary_cong :premises (@p271 @p530 @p529 @p527) :args (@t325))
% 27.73/27.98  (step @p532 :rule refl :args (@t327))
% 27.73/27.98  (step @p533 :rule nary_cong :premises (@p273 @p167 @p268 @p532 @p274 @p531) :args (@t328))
% 27.73/27.98  (step @p534 :rule refl :args (@t329))
% 27.73/27.98  (step @p535 :rule cong :premises (@p534 @p533) :args ((=> @t329 @t328)))
% 27.73/27.98  (assume-push @p861 @t329)
% 27.73/27.98  (step @p537 :rule instantiate :premises (@p526) :args ((@list tptp.sz00 tptp.xp @t149)))
% 27.73/27.98  (step-pop @p862 :rule scope :premises (@p537))
% 27.73/27.98  (step @p538 :rule process_scope :premises (@p862) :args (@t328))
% 27.73/27.98  (step @p540 :rule eq_resolve :premises (@p538 @p535))
% 27.73/27.98  (step @p541 :rule implies_elim :premises (@p540))
% 27.73/27.98  (step @p542 :rule chain_m_resolution :premises (@p541 @p526) :args (@t331 @t160 (@list @t329)))
% 27.73/27.98  (step @p543 :rule aci_norm :args ((= (or @t140 @t333) (or @t139 @t138 @t59 @t332))))
% 27.73/27.98  (step @p544 :rule refl :args (@t333))
% 27.73/27.98  (step @p545 :rule nary_cong :premises (@p50 @p544) :args ((or @t141 @t333)))
% 27.73/27.98  (step @p546 :rule trans :premises (@p545 @p543))
% 27.73/27.98  (step @p547 :rule bool-impl-elim :args (@t10 @t333))
% 27.73/27.98  (step @p548 :rule trans :premises (@p547 @p546))
% 27.73/27.98  (step @p549 :rule cong :premises (@p548) :args ((forall @t11 (=> @t10 @t333))))
% 27.73/27.98  (step @p550 :rule refl :args (@t70))
% 27.73/27.98  (step @p551 :rule cong :premises (@p299) :args (@t80))
% 27.73/27.98  (step @p552 :rule nary_cong :premises (@p551 @p550) :args (@t81))
% 27.73/27.98  (step @p553 :rule nary_cong :premises (@p149 @p552) :args (@t82))
% 27.73/27.98  (step @p554 :rule cong :premises (@p151 @p553) :args (@t83))
% 27.73/27.98  (step @p555 :rule cong :premises (@p554) :args (@t84))
% 27.73/27.98  (step @p556 :rule trans :premises (@p555 @p549))
% 27.73/27.98  (step @p557 :rule eq_resolve :premises (@p23 @p556))
% 27.73/27.98  (step @p558 :rule instantiate :premises (@p557) :args ((@list tptp.sz00 tptp.xp)))
% 27.73/27.98  (step @p559 :rule aci_norm :args ((= (or @t227 @t335) (or @t139 @t138 @t226 @t173 @t334 @t74))))
% 27.73/27.98  (step @p560 :rule aci_norm :args ((= (or (or @t173 @t334) @t74) @t335)))
% 27.73/27.98  (step @p561 :rule refl :args (@t74))
% 27.73/27.98  (step @p562 :rule bool-and-de-morgan :args (@t59 @t75 true))
% 27.73/27.98  (step @p563 :rule nary_cong :premises (@p562 @p561) :args ((or (not @t76) @t74)))
% 27.73/27.98  (step @p564 :rule trans :premises (@p563 @p560))
% 27.73/27.98  (step @p565 :rule bool-impl-elim :args (@t76 @t74))
% 27.73/27.98  (step @p566 :rule trans :premises (@p565 @p564))
% 27.73/27.98  (step @p567 :rule nary_cong :premises (@p241 @p566) :args ((or @t228 @t77)))
% 27.73/27.98  (step @p568 :rule trans :premises (@p567 @p559))
% 27.73/27.98  (step @p569 :rule bool-impl-elim :args (@t24 @t77))
% 27.73/27.98  (step @p570 :rule trans :premises (@p569 @p568))
% 27.73/27.98  (step @p571 :rule cong :premises (@p570) :args (@t78))
% 27.73/27.98  (step @p572 :rule eq_resolve :premises (@p22 @p571))
% 27.73/27.98  (step @p573 :rule instantiate :premises (@p572) :args ((@list tptp.sz10 tptp.xp tptp.sz00)))
% 27.73/27.98  (step @p574 :rule aci_norm :args ((= (or @t139 @t338) @t337)))
% 27.73/27.98  (step @p575 :rule bool-impl-elim :args (@t2 @t338))
% 27.73/27.98  (step @p576 :rule trans :premises (@p575 @p574))
% 27.73/27.98  (step @p577 :rule cong :premises (@p576) :args ((forall @t3 (=> @t2 @t338))))
% 27.73/27.98  (step @p578 :rule refl :args (@t98))
% 27.73/27.98  (step @p579 :rule eq-symm :args (tptp.sz10 @t1))
% 27.73/27.98  (step @p580 :rule cong :premises (@p579) :args (@t99))
% 27.73/27.98  (step @p581 :rule nary_cong :premises (@p580 @p578) :args (@t100))
% 27.73/27.98  (step @p582 :rule refl :args (@t101))
% 27.73/27.98  (step @p583 :rule refl :args (@t53))
% 27.73/27.98  (step @p584 :rule nary_cong :premises (@p583 @p582 @p581) :args (@t102))
% 27.73/27.98  (step @p585 :rule cong :premises (@p81 @p584) :args (@t103))
% 27.73/27.98  (step @p586 :rule cong :premises (@p585) :args (@t104))
% 27.73/27.98  (step @p587 :rule trans :premises (@p586 @p577))
% 27.73/27.98  (step @p588 :rule eq_resolve :premises (@p26 @p587))
% 27.73/27.98  (step @p589 :rule refl :args (@t339))
% 27.73/27.98  (step @p590 :rule nary_cong :premises (@p321 @p589) :args (@t340))
% 27.73/27.98  (step @p591 :rule nary_cong :premises (@p167 @p322 @p320 @p590) :args (@t341))
% 27.73/27.98  (step @p592 :rule refl :args (@t342))
% 27.73/27.98  (step @p593 :rule cong :premises (@p592 @p591) :args ((=> @t342 @t341)))
% 27.73/27.98  (assume-push @p863 @t342)
% 27.73/27.98  (step @p595 :rule instantiate :premises (@p588) :args (@t270))
% 27.73/27.98  (step-pop @p864 :rule scope :premises (@p595))
% 27.73/27.98  (step @p596 :rule process_scope :premises (@p864) :args (@t341))
% 27.73/27.98  (step @p598 :rule eq_resolve :premises (@p596 @p593))
% 27.73/27.98  (step @p599 :rule implies_elim :premises (@p598))
% 27.73/27.98  (step @p600 :rule chain_m_resolution :premises (@p599 @p588) :args (@t344 @t160 (@list @t342)))
% 27.73/27.98  (step @p601 :rule cnf_and_pos :args (@t274 1))
% 27.73/27.98  (step @p602 :rule reordering :premises (@p601) :args ((or @t272 @t277)))
% 27.73/27.98  (step @p603 :rule chain_m_resolution :premises (@p602 @p343) :args (@t272 @t160 @t278))
% 27.73/27.98  (step @p604 :rule cnf_or_pos :args (@t344))
% 27.73/27.98  (step @p605 :rule reordering :premises (@p604) :args ((or @t193 @t236 @t271 @t343 (not @t344))))
% 27.73/27.98  (step @p606 :rule chain_m_resolution :premises (@p605 @p178 @p346 @p603 @p600) :args (@t343 (@list false true true false) (@list @t124 @t236 @t271 @t344)))
% 27.73/27.98  (step @p607 :rule cnf_and_pos :args (@t343 1))
% 27.73/27.98  (step @p608 :rule reordering :premises (@p607) :args ((or @t339 (not @t343))))
% 27.73/27.98  (step @p609 :rule chain_m_resolution :premises (@p608 @p606) :args (@t339 @t160 (@list @t343)))
% 27.73/27.98  (step @p610 :rule aci_norm :args ((= (or @t140 @t346) (or @t139 @t138 @t173 @t345 @t69))))
% 27.73/27.98  (step @p611 :rule aci_norm :args ((= (or (or @t173 @t345) @t69) @t346)))
% 27.73/27.98  (step @p612 :rule bool-and-de-morgan :args (@t59 @t70 true))
% 27.73/27.98  (step @p613 :rule nary_cong :premises (@p612 @p485) :args ((or (not @t71) @t69)))
% 27.73/27.98  (step @p614 :rule trans :premises (@p613 @p611))
% 27.73/27.98  (step @p615 :rule bool-impl-elim :args (@t71 @t69))
% 27.73/27.98  (step @p616 :rule trans :premises (@p615 @p614))
% 27.73/27.98  (step @p617 :rule nary_cong :premises (@p50 @p616) :args ((or @t141 @t72)))
% 27.73/27.98  (step @p618 :rule trans :premises (@p617 @p610))
% 27.73/27.98  (step @p619 :rule bool-impl-elim :args (@t10 @t72))
% 27.73/27.98  (step @p620 :rule trans :premises (@p619 @p618))
% 27.73/27.98  (step @p621 :rule cong :premises (@p620) :args (@t73))
% 27.73/27.98  (step @p622 :rule eq_resolve :premises (@p21 @p621))
% 27.73/27.98  (step @p623 :rule instantiate :premises (@p622) :args (@t347))
% 27.73/27.98  (step @p624 :rule aci_norm :args ((= (or @t140 @t348) (or @t139 @t138 @t348))))
% 27.73/27.98  (step @p625 :rule refl :args (@t348))
% 27.73/27.98  (step @p626 :rule nary_cong :premises (@p50 @p625) :args ((or @t141 @t348)))
% 27.73/27.98  (step @p627 :rule trans :premises (@p626 @p624))
% 27.73/27.98  (step @p628 :rule bool-impl-elim :args (@t10 @t348))
% 27.73/27.98  (step @p629 :rule trans :premises (@p628 @p627))
% 27.73/27.98  (step @p630 :rule cong :premises (@p629) :args ((forall @t11 (=> @t10 @t348))))
% 27.73/27.98  (step @p631 :rule bool-and-de-morgan :args (@t23 @t182 true))
% 27.73/27.98  (step @p632 :rule cong :premises (@p631) :args (@t349))
% 27.73/27.98  (step @p633 :rule cong :premises (@p632) :args (@t350))
% 27.73/27.98  (step @p634 :rule exists-elim :args ((= (exists @t57 @t183) @t350)))
% 27.73/27.98  (step @p635 :rule trans :premises (@p634 @p633))
% 27.73/27.98  (step @p636 :rule cong :premises (@p143) :args (@t58))
% 27.73/27.98  (step @p637 :rule trans :premises (@p636 @p635))
% 27.73/27.98  (step @p638 :rule cong :premises (@p149 @p637) :args (@t60))
% 27.73/27.98  (step @p639 :rule cong :premises (@p151 @p638) :args (@t61))
% 27.73/27.98  (step @p640 :rule cong :premises (@p639) :args (@t62))
% 27.73/27.98  (step @p641 :rule trans :premises (@p640 @p630))
% 27.73/27.98  (step @p642 :rule eq_resolve :premises (@p18 @p641))
% 27.73/27.98  (step @p643 :rule instantiate :premises (@p642) :args (@t347))
% 27.73/27.98  (step @p644 :rule cnf_or_pos :args (@t355))
% 27.73/27.98  (step @p645 :rule reordering :premises (@p644) :args ((or @t245 @t152 @t354 (not @t355))))
% 27.73/27.98  (step @p646 :rule chain_m_resolution :premises (@p645 @p2 @p72 @p643) :args (@t354 @t147 (@list @t4 @t5 @t355)))
% 27.73/27.98  (step @p647 :rule instantiate :premises (@p101) :args (@t356))
% 27.73/27.98  (step @p648 :rule cnf_or_pos :args (@t359))
% 27.73/27.98  (step @p649 :rule reordering :premises (@p648) :args ((or @t152 @t358 (not @t359))))
% 27.73/27.98  (step @p650 :rule chain_m_resolution :premises (@p649 @p72 @p647) :args (@t358 @t159 (@list @t5 @t359)))
% 27.73/27.98  (step @p651 :rule cnf_and_pos :args (@t358 1))
% 27.73/27.98  (step @p652 :rule reordering :premises (@p651) :args ((or @t357 (not @t358))))
% 27.73/27.98  (step @p653 :rule chain_m_resolution :premises (@p652 @p650) :args (@t357 @t160 (@list @t358)))
% 27.73/27.98  (step @p654 :rule cnf_or_pos :args (@t361))
% 27.73/27.98  (step @p655 :rule reordering :premises (@p654) :args ((or @t152 @t360 @t362)))
% 27.73/27.98  (step @p656 :rule chain_m_resolution :premises (@p655 @p72 @p653) :args (@t362 @t159 (@list @t5 @t357)))
% 27.73/27.98  (assume-push @p865 @t351)
% 27.73/27.98  (step @p658 :rule instantiate :premises (@p865) :args (@t356))
% 27.73/27.98  (step-pop @p866 :rule scope :premises (@p658))
% 27.73/27.98  (step @p659 :rule process_scope :premises (@p866) :args (@t361))
% 27.73/27.98  (step @p661 :rule implies_elim :premises (@p659))
% 27.73/27.98  (step @p662 :rule chain_m_resolution :premises (@p661 @p656) :args (@t352 @t300 (@list @t361)))
% 27.73/27.98  (step @p663 :rule bool-double-not-elim :args (@t351))
% 27.73/27.98  (step @p664 :rule refl :args (@t353))
% 27.73/27.98  (step @p665 :rule refl :args (@t363))
% 27.73/27.98  (step @p666 :rule nary_cong :premises (@p665 @p664 @p663) :args ((or @t363 @t353 (not @t352))))
% 27.73/27.98  (step @p667 :rule cnf_equiv_pos2 :args (@t354))
% 27.73/27.98  (step @p668 :rule eq_resolve :premises (@p667 @p666))
% 27.73/27.98  (step @p669 :rule reordering :premises (@p668) :args ((or @t353 @t351 @t363)))
% 27.73/27.98  (step @p670 :rule chain_m_resolution :premises (@p669 @p662 @p646) :args (@t353 (@list true false) (@list @t351 @t354)))
% 27.73/27.98  (step @p671 :rule and_elim :premises (@p3) :args (1))
% 27.73/27.98  (step @p672 :rule symm :premises (@p671))
% 27.73/27.98  (step @p673 :rule cnf_or_pos :args (@t368))
% 27.73/27.98  (step @p674 :rule reordering :premises (@p673) :args ((or @t364 @t245 @t152 @t367 @t366 (not @t368))))
% 27.73/27.98  (step @p675 :rule chain_m_resolution :premises (@p674 @p672 @p2 @p72 @p670 @p623) :args (@t366 @t294 (@list @t364 @t4 @t5 @t353 @t368)))
% 27.73/27.98  (step @p676 :rule cnf_or_pos :args (@t372))
% 27.73/27.98  (step @p677 :rule reordering :premises (@p676) :args ((or @t245 @t152 @t193 @t365 @t371 @t370 (not @t372))))
% 27.73/27.98  (step @p678 :rule chain_m_resolution :premises (@p677 @p2 @p72 @p178 @p675 @p609 @p573) :args (@t370 (@list false false false true false false) (@list @t4 @t5 @t124 @t365 @t339 @t372)))
% 27.73/27.98  (step @p679 :rule cnf_and_pos :args (@t373 1))
% 27.73/27.98  (step @p680 :rule reordering :premises (@p679) :args ((or @t369 @t374)))
% 27.73/27.98  (step @p681 :rule chain_m_resolution :premises (@p680 @p678) :args (@t374 @t300 (@list @t369)))
% 27.73/27.98  (step @p682 :rule cnf_or_pos :args (@t375))
% 27.73/27.98  (step @p683 :rule reordering :premises (@p682) :args ((or @t245 @t193 @t326 @t373 (not @t375))))
% 27.73/27.98  (step @p684 :rule chain_m_resolution :premises (@p683 @p2 @p178 @p681 @p558) :args (@t326 (@list false false true false) (@list @t4 @t124 @t373 @t375)))
% 27.73/27.98  (step @p685 :rule cnf_or_pos :args (@t331))
% 27.73/27.98  (step @p686 :rule reordering :premises (@p685) :args ((or @t245 @t193 @t236 @t247 @t327 @t330 (not @t331))))
% 27.73/27.98  (step @p687 :rule chain_m_resolution :premises (@p686 @p2 @p178 @p346 @p288 @p684 @p542) :args (@t330 (@list false false true false false false) (@list @t4 @t124 @t236 @t246 @t326 @t331)))
% 27.73/27.98  (step @p688 :rule cnf_and_pos :args (@t330 1))
% 27.73/27.98  (step @p689 :rule reordering :premises (@p688) :args ((or @t324 (not @t330))))
% 27.73/27.98  (step @p690 :rule chain_m_resolution :premises (@p689 @p687) :args (@t324 @t160 (@list @t330)))
% 27.73/27.98  (step @p691 :rule aci_norm :args ((= (or @t140 @t17) (or @t139 @t138 @t17))))
% 27.73/27.98  (step @p692 :rule refl :args (@t17))
% 27.73/27.98  (step @p693 :rule nary_cong :premises (@p50 @p692) :args ((or @t141 @t17)))
% 27.73/27.98  (step @p694 :rule trans :premises (@p693 @p691))
% 27.73/27.98  (step @p695 :rule bool-impl-elim :args (@t10 @t17))
% 27.73/27.98  (step @p696 :rule trans :premises (@p695 @p694))
% 27.73/27.98  (step @p697 :rule cong :premises (@p696) :args (@t18))
% 27.73/27.98  (step @p698 :rule eq_resolve :premises (@p6 @p697))
% 27.73/27.98  (step @p699 :rule instantiate :premises (@p698) :args ((@list tptp.xp @t219)))
% 27.73/27.98  (step @p700 :rule cnf_or_pos :args (@t377))
% 27.73/27.98  (step @p701 :rule reordering :premises (@p700) :args ((or @t193 @t288 @t376 (not @t377))))
% 27.73/27.98  (step @p702 :rule chain_m_resolution :premises (@p701 @p178 @p421 @p699) :args (@t376 @t147 (@list @t124 @t281 @t377)))
% 27.73/27.98  (step @p703 :rule refl :args (@t378))
% 27.73/27.98  (step @p704 :rule refl :args (@t379))
% 27.73/27.98  (step @p705 :rule refl :args (@t380))
% 27.73/27.98  (step @p706 :rule refl :args (@t381))
% 27.73/27.98  (step @p707 :rule refl :args (@t382))
% 27.73/27.98  (step @p708 :rule refl :args (@t383))
% 27.73/27.98  (step @p709 :rule refl :args (@t384))
% 27.73/27.98  (step @p710 :rule refl :args (@t385))
% 27.73/27.98  (step @p711 :rule refl :args (@t386))
% 27.73/27.98  (step @p712 :rule refl :args (@t387))
% 27.73/27.98  (step @p713 :rule refl :args (@t388))
% 27.73/27.98  (step @p714 :rule bool-double-not-elim :args (@t295))
% 27.73/27.98  (step @p715 :rule nary_cong :premises (@p714 @p713 @p712 @p711 @p710 @p709 @p708 @p707 @p706 @p705 @p704 @p703) :args ((or (not @t296) @t388 @t387 @t386 @t385 @t384 @t383 @t382 @t381 @t380 @t379 @t378)))
% 27.73/27.98  (assume-push @p867 @t324)
% 27.73/27.98  (assume-push @p868 @t150)
% 27.73/27.98  (assume-push @p869 @t156)
% 27.73/27.98  (assume-push @p870 @t164)
% 27.73/27.98  (assume-push @p871 @t188)
% 27.73/27.98  (assume-push @p872 @t206)
% 27.73/27.98  (assume-push @p873 @t203)
% 27.73/27.98  (assume-push @p874 @t232)
% 27.73/27.98  (assume-push @p875 @t223)
% 27.73/27.98  (assume-push @p876 @t220)
% 27.73/27.98  (assume-push @p877 @t376)
% 27.73/27.98  (assume-push @p878 @t296)
% 27.73/27.98  (step @p728 :rule evaluate :args ((= false true)))
% 27.73/27.98  (step @p729 :rule true_intro :premises (@p867))
% 27.73/27.98  (step @p730 :rule symm :premises (@p75))
% 27.73/27.98  (step @p731 :rule trans :premises (@p92 @p730))
% 27.73/27.98  (step @p732 :rule cong :premises (@p731 @p379) :args (@t128))
% 27.73/27.98  (step @p387 :rule refl :args (tptp.sz00))
% 27.73/27.98  (step @p733 :rule cong :premises (@p731 @p387) :args (@t163))
% 27.73/27.98  (step @p734 :rule trans :premises (@p108 @p733))
% 27.73/27.98  (step @p735 :rule symm :premises (@p184))
% 27.73/27.98  (step @p375 :rule symm :premises (@p198))
% 27.73/27.98  (step @p376 :rule trans :premises (@p191 @p375))
% 27.73/27.98  (step @p736 :rule cong :premises (@p379 @p376) :args (@t230))
% 27.73/27.98  (step @p737 :rule trans :premises (@p736 @p735))
% 27.73/27.98  (step @p738 :rule cong :premises (@p737 @p217) :args (@t231))
% 27.73/27.98  (step @p739 :rule symm :premises (@p251))
% 27.73/27.98  (step @p740 :rule symm :premises (@p233))
% 27.73/27.98  (step @p741 :rule trans :premises (@p226 @p740 @p220))
% 27.73/27.98  (step @p742 :rule cong :premises (@p379 @p741) :args (@t286))
% 27.73/27.98  (step @p743 :rule symm :premises (@p702))
% 27.73/27.98  (step @p374 :rule symm :premises (@p226))
% 27.73/27.98  (step @p438 :rule trans :premises (@p233 @p374))
% 27.73/27.98  (step @p439 :rule cong :premises (@p438 @p379) :args (@t290))
% 27.73/27.98  (step @p744 :rule trans :premises (@p439 @p743 @p742 @p739 @p738))
% 27.73/27.98  (step @p745 :rule trans :premises (@p744 @p734))
% 27.73/27.98  (step @p746 :rule cong :premises (@p745 @p732) :args (@t295))
% 27.73/27.98  (step @p747 :rule false_intro :premises (@p878))
% 27.73/27.98  (step @p748 :rule symm :premises (@p747))
% 27.73/27.98  (step @p749 :rule trans :premises (@p748 @p746 @p729))
% 27.73/27.98  (step @p750 false :rule eq_resolve :premises (@p749 @p728))
% 27.73/27.98  (step-pop @p879 :rule scope :premises (@p750))
% 27.73/27.98  (step-pop @p880 :rule scope :premises (@p879))
% 27.73/27.98  (step-pop @p881 :rule scope :premises (@p880))
% 27.73/27.98  (step-pop @p882 :rule scope :premises (@p881))
% 27.73/27.98  (step-pop @p883 :rule scope :premises (@p882))
% 27.73/27.98  (step-pop @p884 :rule scope :premises (@p883))
% 27.73/27.98  (step-pop @p885 :rule scope :premises (@p884))
% 27.73/27.98  (step-pop @p886 :rule scope :premises (@p885))
% 27.73/27.98  (step-pop @p887 :rule scope :premises (@p886))
% 27.73/27.98  (step-pop @p888 :rule scope :premises (@p887))
% 27.73/27.98  (step-pop @p889 :rule scope :premises (@p888))
% 27.73/27.98  (step-pop @p890 :rule scope :premises (@p889))
% 27.73/27.98  (step @p751 :rule process_scope :premises (@p890) :args (false))
% 27.73/27.98  (assume-push @p891 @t296)
% 27.73/27.98  (assume-push @p892 @t156)
% 27.73/27.98  (assume-push @p893 @t164)
% 27.73/27.98  (assume-push @p894 @t150)
% 27.73/27.98  (assume-push @p895 @t220)
% 27.73/27.98  (assume-push @p896 @t223)
% 27.73/27.98  (assume-push @p897 @t203)
% 27.73/27.98  (assume-push @p898 @t206)
% 27.73/27.98  (assume-push @p899 @t188)
% 27.73/27.98  (assume-push @p900 @t232)
% 27.73/27.98  (assume-push @p901 @t324)
% 27.73/27.98  (assume-push @p902 @t376)
% 27.73/27.98  (step @p776 :rule and_intro :premises (@p901 @p75 @p92 @p108 @p184 @p198 @p191 @p251 @p233 @p226 @p702 @p891))
% 27.73/27.98  (step-pop @p903 :rule scope :premises (@p776))
% 27.73/27.98  (step-pop @p904 :rule scope :premises (@p903))
% 27.73/27.98  (step-pop @p905 :rule scope :premises (@p904))
% 27.73/27.98  (step-pop @p906 :rule scope :premises (@p905))
% 27.73/27.98  (step-pop @p907 :rule scope :premises (@p906))
% 27.73/27.98  (step-pop @p908 :rule scope :premises (@p907))
% 27.73/27.98  (step-pop @p909 :rule scope :premises (@p908))
% 27.73/27.98  (step-pop @p910 :rule scope :premises (@p909))
% 27.73/27.98  (step-pop @p911 :rule scope :premises (@p910))
% 27.73/27.98  (step-pop @p912 :rule scope :premises (@p911))
% 27.73/27.98  (step-pop @p913 :rule scope :premises (@p912))
% 27.73/27.98  (step-pop @p914 :rule scope :premises (@p913))
% 27.73/27.98  (step @p777 :rule process_scope :premises (@p914) :args (@t389))
% 27.73/27.98  (step @p790 :rule implies_elim :premises (@p777))
% 27.73/27.98  (step @p791 :rule resolution :premises (@p790 @p751) :args (true @t389))
% 27.73/27.98  (step @p792 :rule not_and :premises (@p791))
% 27.73/27.98  (step @p793 :rule eq_resolve :premises (@p792 @p715))
% 27.73/27.98  (step @p794 false :rule chain_m_resolution :premises (@p793 @p702 @p690 @p480 @p251 @p233 @p226 @p198 @p191 @p184 @p108 @p92 @p75) :args (false (@list false false true false false false false false false false false false) (@list @t376 @t324 @t295 @t232 @t223 @t220 @t206 @t203 @t188 @t164 @t156 @t150)))
% 27.73/27.98  )
% 27.73/27.98  % SZS output end Proof
% 27.73/27.99  % cvc5 exiting
%------------------------------------------------------------------------------