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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWC211+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 08:58:28 AM UTC 2026

% Result   : Theorem 33.95s 34.57s
% Output   : Proof 33.95s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC211+1 : TPTP v9.2.1. Released v2.4.0.
% 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 : n014.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 19:24:58 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.30/0.50  %----Proving TF0_NAR, FOF, or CNF
% 33.95/34.57  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 33.95/34.57  --- Run --no-e-matching --full-saturate-quant at 6...
% 33.95/34.57  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 33.95/34.57  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 33.95/34.57  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 33.95/34.57  % SZS status Theorem
% 33.95/34.57  % SZS output start Proof
% 33.95/34.57  (
% 33.95/34.57  (declare-sort $$unsorted 0)
% 33.95/34.57  (declare-const tptp.tl (-> $$unsorted $$unsorted))
% 33.95/34.57  (declare-const tptp.hd (-> $$unsorted $$unsorted))
% 33.95/34.57  (declare-const tptp.duplicatefreeP (-> $$unsorted Bool))
% 33.95/34.57  (declare-const tptp.strictorderedP (-> $$unsorted Bool))
% 33.95/34.57  (declare-const tptp.geq (-> $$unsorted $$unsorted Bool))
% 33.95/34.57  (declare-const tptp.strictorderP (-> $$unsorted Bool))
% 33.95/34.57  (declare-const tptp.equalelemsP (-> $$unsorted Bool))
% 33.95/34.57  (declare-const tptp.totalorderP (-> $$unsorted Bool))
% 33.95/34.57  (declare-const tptp.neq (-> $$unsorted $$unsorted Bool))
% 33.95/34.57  (declare-const tptp.totalorderedP (-> $$unsorted Bool))
% 33.95/34.57  (declare-const tptp.singletonP (-> $$unsorted Bool))
% 33.95/34.57  (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted))
% 33.95/34.57  (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted))
% 33.95/34.57  (declare-const tptp.nil $$unsorted)
% 33.95/34.57  (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool))
% 33.95/34.57  (declare-const tptp.lt (-> $$unsorted $$unsorted Bool))
% 33.95/34.57  (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool))
% 33.95/34.57  (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool))
% 33.95/34.57  (declare-const tptp.gt (-> $$unsorted $$unsorted Bool))
% 33.95/34.57  (declare-const tptp.ssList (-> $$unsorted Bool))
% 33.95/34.57  (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool))
% 33.95/34.57  (declare-const tptp.cyclefreeP (-> $$unsorted Bool))
% 33.95/34.57  (declare-const tptp.ssItem (-> $$unsorted Bool))
% 33.95/34.57  (declare-const tptp.leq (-> $$unsorted $$unsorted Bool))
% 33.95/34.57  (define @t1 () (@var "V" $$unsorted))
% 33.95/34.57  (define @t2 () (@var "U" $$unsorted))
% 33.95/34.57  (define @t3 () (= @t2 @t1))
% 33.95/34.57  (define @t4 () (not @t3))
% 33.95/34.57  (define @t5 () (= (tptp.neq @t2 @t1) @t4))
% 33.95/34.57  (define @t6 () (tptp.ssItem @t1))
% 33.95/34.57  (define @t7 () (@list @t1))
% 33.95/34.57  (define @t8 () (tptp.ssItem @t2))
% 33.95/34.57  (define @t9 () (@list @t2))
% 33.95/34.57  (define @t10 () (@var "X" $$unsorted))
% 33.95/34.57  (define @t11 () (tptp.cons @t1 @t10))
% 33.95/34.57  (define @t12 () (@var "W" $$unsorted))
% 33.95/34.57  (define @t13 () (tptp.ssList @t10))
% 33.95/34.57  (define @t14 () (@list @t10))
% 33.95/34.57  (define @t15 () (tptp.ssList @t12))
% 33.95/34.57  (define @t16 () (@list @t12))
% 33.95/34.57  (define @t17 () (tptp.ssList @t2))
% 33.95/34.57  (define @t18 () (tptp.cons @t1 tptp.nil))
% 33.95/34.57  (define @t19 () (tptp.app @t1 @t12))
% 33.95/34.57  (define @t20 () (tptp.frontsegP @t2 @t1))
% 33.95/34.57  (define @t21 () (tptp.ssList @t1))
% 33.95/34.57  (define @t22 () (tptp.app @t12 @t1))
% 33.95/34.57  (define @t23 () (tptp.rearsegP @t2 @t1))
% 33.95/34.57  (define @t24 () (tptp.segmentP @t2 @t1))
% 33.95/34.57  (define @t25 () (tptp.leq @t12 @t1))
% 33.95/34.57  (define @t26 () (tptp.leq @t1 @t12))
% 33.95/34.57  (define @t27 () (@var "Z" $$unsorted))
% 33.95/34.57  (define @t28 () (@var "Y" $$unsorted))
% 33.95/34.57  (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2))
% 33.95/34.57  (define @t30 () (tptp.ssList @t27))
% 33.95/34.57  (define @t31 () (@list @t27))
% 33.95/34.57  (define @t32 () (tptp.ssList @t28))
% 33.95/34.57  (define @t33 () (@list @t28))
% 33.95/34.57  (define @t34 () (tptp.ssItem @t12))
% 33.95/34.57  (define @t35 () (tptp.lt @t1 @t12))
% 33.95/34.57  (define @t36 () (= @t1 @t12))
% 33.95/34.57  (define @t37 () (forall @t7 (=> @t21 @t5)))
% 33.95/34.57  (define @t38 () (=> @t17 @t37))
% 33.95/34.57  (define @t39 () (forall @t9 @t38))
% 33.95/34.57  (define @t40 () (tptp.cons @t1 @t2))
% 33.95/34.57  (define @t41 () (tptp.ssList @t40))
% 33.95/34.57  (define @t42 () (forall @t7 (=> @t6 @t41)))
% 33.95/34.57  (define @t43 () (=> @t17 @t42))
% 33.95/34.57  (define @t44 () (forall @t9 @t43))
% 33.95/34.57  (define @t45 () (tptp.ssList tptp.nil))
% 33.95/34.57  (define @t46 () (= @t1 @t2))
% 33.95/34.57  (define @t47 () (tptp.cons @t12 @t1))
% 33.95/34.57  (define @t48 () (and @t34 (= @t47 @t2)))
% 33.95/34.57  (define @t49 () (exists @t16 @t48))
% 33.95/34.57  (define @t50 () (and @t21 @t49))
% 33.95/34.57  (define @t51 () (exists @t7 @t50))
% 33.95/34.57  (define @t52 () (= tptp.nil @t2))
% 33.95/34.57  (define @t53 () (or @t52 @t51))
% 33.95/34.57  (define @t54 () (=> @t17 @t53))
% 33.95/34.57  (define @t55 () (forall @t9 @t54))
% 33.95/34.57  (define @t56 () (not (= tptp.nil @t40)))
% 33.95/34.57  (define @t57 () (forall @t7 (=> @t6 @t56)))
% 33.95/34.57  (define @t58 () (=> @t17 @t57))
% 33.95/34.57  (define @t59 () (forall @t9 @t58))
% 33.95/34.57  (define @t60 () (tptp.hd @t2))
% 33.95/34.57  (define @t61 () (tptp.ssItem @t60))
% 33.95/34.57  (define @t62 () (not @t52))
% 33.95/34.57  (define @t63 () (=> @t62 @t61))
% 33.95/34.57  (define @t64 () (=> @t17 @t63))
% 33.95/34.57  (define @t65 () (forall @t9 @t64))
% 33.95/34.57  (define @t66 () (tptp.tl @t2))
% 33.95/34.57  (define @t67 () (tptp.tl @t40))
% 33.95/34.57  (define @t68 () (=> @t6 (= @t67 @t2)))
% 33.95/34.57  (define @t69 () (forall @t7 @t68))
% 33.95/34.57  (define @t70 () (=> @t17 @t69))
% 33.95/34.57  (define @t71 () (forall @t9 @t70))
% 33.95/34.57  (define @t72 () (tptp.app @t2 @t1))
% 33.95/34.57  (define @t73 () (tptp.app @t1 @t2))
% 33.95/34.57  (define @t74 () (tptp.leq @t1 @t2))
% 33.95/34.57  (define @t75 () (tptp.leq @t2 @t1))
% 33.95/34.57  (define @t76 () (tptp.geq @t2 @t1))
% 33.95/34.57  (define @t77 () (tptp.lt @t1 @t2))
% 33.95/34.57  (define @t78 () (tptp.lt @t2 @t1))
% 33.95/34.57  (define @t79 () (tptp.lt @t2 @t12))
% 33.95/34.57  (define @t80 () (tptp.gt @t2 @t1))
% 33.95/34.57  (define @t81 () (tptp.memberP @t12 @t2))
% 33.95/34.57  (define @t82 () (tptp.app @t12 @t2))
% 33.95/34.57  (define @t83 () (tptp.cons @t2 tptp.nil))
% 33.95/34.57  (define @t84 () (tptp.hd @t1))
% 33.95/34.57  (define @t85 () (= tptp.nil @t1))
% 33.95/34.57  (define @t86 () (not @t85))
% 33.95/34.57  (define @t87 () (tptp.cons @t2 @t1))
% 33.95/34.57  (define @t88 () (tptp.cons @t60 @t66))
% 33.95/34.57  (define @t89 () (=> @t62 (= @t88 @t2)))
% 33.95/34.57  (define @t90 () (=> @t17 @t89))
% 33.95/34.57  (define @t91 () (forall @t9 @t90))
% 33.95/34.57  (define @t92 () (= @t12 @t2))
% 33.95/34.57  (define @t93 () (= @t40 (tptp.app @t18 @t2)))
% 33.95/34.57  (define @t94 () (forall @t7 (=> @t6 @t93)))
% 33.95/34.57  (define @t95 () (=> @t17 @t94))
% 33.95/34.57  (define @t96 () (forall @t9 @t95))
% 33.95/34.57  (define @t97 () (and @t85 @t52))
% 33.95/34.57  (define @t98 () (= tptp.nil @t72))
% 33.95/34.57  (define @t99 () (= @t98 @t97))
% 33.95/34.57  (define @t100 () (=> @t21 @t99))
% 33.95/34.57  (define @t101 () (forall @t7 @t100))
% 33.95/34.57  (define @t102 () (=> @t17 @t101))
% 33.95/34.57  (define @t103 () (forall @t9 @t102))
% 33.95/34.57  (define @t104 () (not (= tptp.nil @t12)))
% 33.95/34.57  (define @t105 () (and @t104 (= tptp.nil @t10)))
% 33.95/34.57  (define @t106 () (tptp.neq @t2 tptp.nil))
% 33.95/34.57  (define @t107 () (tptp.cons @t28 tptp.nil))
% 33.95/34.57  (define @t108 () (tptp.app @t107 @t27))
% 33.95/34.57  (define @t109 () (tptp.app @t27 @t107))
% 33.95/34.57  (define @t110 () (not (= @t109 @t12)))
% 33.95/34.57  (define @t111 () (and @t30 @t110 (= @t108 @t10)))
% 33.95/34.57  (define @t112 () (exists @t31 @t111))
% 33.95/34.57  (define @t113 () (tptp.ssItem @t28))
% 33.95/34.57  (define @t114 () (and @t113 @t112))
% 33.95/34.57  (define @t115 () (exists @t33 @t114))
% 33.95/34.57  (define @t116 () (not (tptp.neq @t1 tptp.nil)))
% 33.95/34.57  (define @t117 () (not (= @t2 @t12)))
% 33.95/34.57  (define @t118 () (not (= @t1 @t10)))
% 33.95/34.57  (define @t119 () (or @t118 @t117 @t116 @t115 @t106 @t105))
% 33.95/34.57  (define @t120 () (=> @t13 @t119))
% 33.95/34.57  (define @t121 () (forall @t14 @t120))
% 33.95/34.57  (define @t122 () (=> @t15 @t121))
% 33.95/34.57  (define @t123 () (forall @t16 @t122))
% 33.95/34.57  (define @t124 () (=> @t21 @t123))
% 33.95/34.57  (define @t125 () (forall @t7 @t124))
% 33.95/34.57  (define @t126 () (=> @t17 @t125))
% 33.95/34.57  (define @t127 () (forall @t9 @t126))
% 33.95/34.57  (define @t128 () (not @t127))
% 33.95/34.57  (define @t129 () (= @t2 tptp.nil))
% 33.95/34.57  (define @t130 () (@var "BOUND_VARIABLE_10598" $$unsorted))
% 33.95/34.57  (define @t131 () (and (= @t130 tptp.nil) @t129))
% 33.95/34.57  (define @t132 () (= tptp.nil (tptp.app @t2 @t130)))
% 33.95/34.57  (define @t133 () (= @t132 @t131))
% 33.95/34.57  (define @t134 () (not (tptp.ssList @t130)))
% 33.95/34.57  (define @t135 () (not @t17))
% 33.95/34.57  (define @t136 () (or @t135 @t134 @t133))
% 33.95/34.57  (define @t137 () (or @t134 @t133))
% 33.95/34.57  (define @t138 () (or @t135 @t137))
% 33.95/34.57  (define @t139 () (@list @t2 @t130))
% 33.95/34.57  (define @t140 () (forall @t139 @t138))
% 33.95/34.57  (define @t141 () (@list @t130))
% 33.95/34.57  (define @t142 () (forall @t141 @t138))
% 33.95/34.57  (define @t143 () (forall @t141 @t137))
% 33.95/34.57  (define @t144 () (@list @t1))
% 33.95/34.57  (define @t145 () (or @t135 @t143))
% 33.95/34.57  (define @t146 () (= @t1 tptp.nil))
% 33.95/34.57  (define @t147 () (= @t98 (and @t146 @t129)))
% 33.95/34.57  (define @t148 () (not @t21))
% 33.95/34.57  (define @t149 () (forall @t7 (or @t148 @t147)))
% 33.95/34.57  (define @t150 () (@var "BOUND_VARIABLE_11017" $$unsorted))
% 33.95/34.57  (define @t151 () (not @t129))
% 33.95/34.57  (define @t152 () (@var "BOUND_VARIABLE_10948" $$unsorted))
% 33.95/34.57  (define @t153 () (tptp.app @t107 @t152))
% 33.95/34.57  (define @t154 () (tptp.app @t152 @t107))
% 33.95/34.57  (define @t155 () (= @t2 @t154))
% 33.95/34.57  (define @t156 () (not (tptp.ssList @t152)))
% 33.95/34.57  (define @t157 () (not @t113))
% 33.95/34.57  (define @t158 () (@list @t28 @t152))
% 33.95/34.57  (define @t159 () (not (tptp.neq @t150 tptp.nil)))
% 33.95/34.57  (define @t160 () (not (tptp.ssList @t150)))
% 33.95/34.57  (define @t161 () (@list @t2 @t150))
% 33.95/34.57  (define @t162 () (forall @t161 (or @t135 @t106 @t160 @t159 (not (forall @t158 (or @t157 @t156 @t155 (not (= @t153 @t150))))) (and @t151 (= tptp.nil @t150)))))
% 33.95/34.57  (define @t163 () (@quantifiers_skolemize @t162 1))
% 33.95/34.57  (define @t164 () (@var "BOUND_VARIABLE_9263" $$unsorted))
% 33.95/34.57  (define @t165 () (tptp.cons @t164 @t1))
% 33.95/34.57  (define @t166 () (not (tptp.ssItem @t164)))
% 33.95/34.57  (define @t167 () (@list @t1 @t164))
% 33.95/34.57  (define @t168 () (forall @t167 (or @t148 @t166 (not (= @t165 @t163)))))
% 33.95/34.57  (define @t169 () (@quantifiers_skolemize @t168 0))
% 33.95/34.57  (define @t170 () (tptp.hd @t163))
% 33.95/34.57  (define @t171 () (tptp.cons @t170 tptp.nil))
% 33.95/34.57  (define @t172 () (= tptp.nil @t171))
% 33.95/34.57  (define @t173 () (and @t172 (= @t169 tptp.nil)))
% 33.95/34.57  (define @t174 () (tptp.app @t169 @t171))
% 33.95/34.57  (define @t175 () (= tptp.nil @t174))
% 33.95/34.57  (define @t176 () (= @t175 @t173))
% 33.95/34.57  (define @t177 () (tptp.ssList @t171))
% 33.95/34.57  (define @t178 () (not @t177))
% 33.95/34.57  (define @t179 () (tptp.ssList @t169))
% 33.95/34.57  (define @t180 () (not @t179))
% 33.95/34.57  (define @t181 () (or @t180 @t178 @t176))
% 33.95/34.57  (define @t182 () (forall @t139 (or @t135 @t134 (= @t132 (and (= tptp.nil @t130) @t129)))))
% 33.95/34.57  (define @t183 () (and @t172 (= tptp.nil @t169)))
% 33.95/34.57  (define @t184 () (= @t175 @t183))
% 33.95/34.57  (define @t185 () (or @t180 @t178 @t184))
% 33.95/34.57  (define @t186 () (@list false))
% 33.95/34.57  (define @t187 () (@var "BOUND_VARIABLE_9126" $$unsorted))
% 33.95/34.57  (define @t188 () (tptp.ssList (tptp.cons @t187 @t2)))
% 33.95/34.57  (define @t189 () (not (tptp.ssItem @t187)))
% 33.95/34.57  (define @t190 () (or @t189 @t188))
% 33.95/34.57  (define @t191 () (or @t135 @t190))
% 33.95/34.57  (define @t192 () (forall (@list @t2 @t187) @t191))
% 33.95/34.57  (define @t193 () (@list @t187))
% 33.95/34.57  (define @t194 () (forall @t193 @t191))
% 33.95/34.57  (define @t195 () (forall @t193 @t190))
% 33.95/34.57  (define @t196 () (or @t135 @t195))
% 33.95/34.57  (define @t197 () (not @t6))
% 33.95/34.57  (define @t198 () (forall @t7 (or @t197 @t41)))
% 33.95/34.57  (define @t199 () (@list tptp.nil @t170))
% 33.95/34.57  (define @t200 () (or @t135 @t129 @t61))
% 33.95/34.57  (define @t201 () (not @t151))
% 33.95/34.57  (define @t202 () (=> @t151 @t61))
% 33.95/34.57  (define @t203 () (tptp.ssItem @t170))
% 33.95/34.57  (define @t204 () (tptp.ssList @t163))
% 33.95/34.57  (define @t205 () (not @t204))
% 33.95/34.57  (define @t206 () (= @t163 tptp.nil))
% 33.95/34.57  (define @t207 () (or @t205 @t206 @t203))
% 33.95/34.57  (define @t208 () (forall @t9 @t200))
% 33.95/34.57  (define @t209 () (@list @t163))
% 33.95/34.57  (define @t210 () (= tptp.nil @t163))
% 33.95/34.57  (define @t211 () (or @t205 @t210 @t203))
% 33.95/34.57  (define @t212 () (@var "BOUND_VARIABLE_9105" $$unsorted))
% 33.95/34.57  (define @t213 () (= (tptp.neq @t2 @t212) (not (= @t2 @t212))))
% 33.95/34.57  (define @t214 () (not (tptp.ssList @t212)))
% 33.95/34.57  (define @t215 () (or @t135 @t214 @t213))
% 33.95/34.57  (define @t216 () (or @t214 @t213))
% 33.95/34.57  (define @t217 () (or @t135 @t216))
% 33.95/34.57  (define @t218 () (@list @t2 @t212))
% 33.95/34.57  (define @t219 () (forall @t218 @t217))
% 33.95/34.57  (define @t220 () (@list @t212))
% 33.95/34.57  (define @t221 () (forall @t220 @t217))
% 33.95/34.57  (define @t222 () (forall @t220 @t216))
% 33.95/34.57  (define @t223 () (or @t135 @t222))
% 33.95/34.57  (define @t224 () (forall @t7 (or @t148 @t5)))
% 33.95/34.57  (define @t225 () (not @t206))
% 33.95/34.57  (define @t226 () (tptp.neq @t163 tptp.nil))
% 33.95/34.57  (define @t227 () (= @t226 @t225))
% 33.95/34.57  (define @t228 () (not @t45))
% 33.95/34.57  (define @t229 () (or @t205 @t228 @t227))
% 33.95/34.57  (define @t230 () (forall @t218 @t215))
% 33.95/34.57  (define @t231 () (not @t210))
% 33.95/34.57  (define @t232 () (= @t226 @t231))
% 33.95/34.57  (define @t233 () (or @t205 @t228 @t232))
% 33.95/34.57  (define @t234 () (@list @t230))
% 33.95/34.57  (define @t235 () (and @t151 (= @t150 tptp.nil)))
% 33.95/34.57  (define @t236 () (not (= @t150 @t153)))
% 33.95/34.57  (define @t237 () (or @t157 @t156 @t155 @t236))
% 33.95/34.57  (define @t238 () (forall @t158 @t237))
% 33.95/34.57  (define @t239 () (not @t238))
% 33.95/34.57  (define @t240 () (or @t135 @t106 @t160 @t159 @t239 @t235))
% 33.95/34.57  (define @t241 () (or @t160 @t159 @t239 @t235))
% 33.95/34.57  (define @t242 () (or @t135 @t106 @t241))
% 33.95/34.57  (define @t243 () (forall @t161 @t242))
% 33.95/34.57  (define @t244 () (@list @t150))
% 33.95/34.57  (define @t245 () (forall @t244 @t242))
% 33.95/34.57  (define @t246 () (forall @t244 @t241))
% 33.95/34.57  (define @t247 () (or @t135 @t106 @t246))
% 33.95/34.57  (define @t248 () (and @t151 @t146))
% 33.95/34.57  (define @t249 () (not (= @t1 @t153)))
% 33.95/34.57  (define @t250 () (not (forall @t158 (or @t157 @t156 @t155 @t249))))
% 33.95/34.57  (define @t251 () (or @t148 @t116 @t250 @t248))
% 33.95/34.57  (define @t252 () (forall @t7 @t251))
% 33.95/34.57  (define @t253 () (or @t135 @t106 @t252))
% 33.95/34.57  (define @t254 () (or @t106 @t135 @t252))
% 33.95/34.57  (define @t255 () (or @t106 @t135 @t251))
% 33.95/34.57  (define @t256 () (or @t148 @t116 @t106 @t135 @t250 @t248))
% 33.95/34.57  (define @t257 () (or @t116 @t106 @t148 @t135 @t250 @t248))
% 33.95/34.57  (define @t258 () (or @t135 @t250 @t248))
% 33.95/34.57  (define @t259 () (not (= @t2 @t2)))
% 33.95/34.57  (define @t260 () (or @t135 @t259 @t250 @t248))
% 33.95/34.57  (define @t261 () (not (= @t12 tptp.nil)))
% 33.95/34.57  (define @t262 () (and @t261 @t146))
% 33.95/34.57  (define @t263 () (= @t12 @t154))
% 33.95/34.57  (define @t264 () (not (forall @t158 (or @t157 @t156 @t263 @t249))))
% 33.95/34.57  (define @t265 () (not @t15))
% 33.95/34.57  (define @t266 () (or @t117 @t265 @t117 @t264 @t262))
% 33.95/34.57  (define @t267 () (or @t265 @t117 @t264 @t262))
% 33.95/34.57  (define @t268 () (forall @t16 @t267))
% 33.95/34.57  (define @t269 () (or @t116 @t106 @t148 @t268))
% 33.95/34.57  (define @t270 () (or @t116 @t106 @t148 @t267))
% 33.95/34.57  (define @t271 () (or @t265 @t117 @t116 @t106 @t148 @t264 @t262))
% 33.95/34.57  (define @t272 () (or @t117 @t116 @t106 @t148 @t264 @t262))
% 33.95/34.57  (define @t273 () (or @t148 @t264 @t262))
% 33.95/34.57  (define @t274 () (not (= @t1 @t1)))
% 33.95/34.57  (define @t275 () (or @t148 @t274 @t264 @t262))
% 33.95/34.57  (define @t276 () (and @t261 (= @t10 tptp.nil)))
% 33.95/34.57  (define @t277 () (not (= @t10 @t153)))
% 33.95/34.57  (define @t278 () (or @t157 @t156 @t263 @t277))
% 33.95/34.57  (define @t279 () (not (forall @t158 @t278)))
% 33.95/34.57  (define @t280 () (not @t13))
% 33.95/34.57  (define @t281 () (or @t118 @t280 @t118 @t279 @t276))
% 33.95/34.57  (define @t282 () (or @t280 @t118 @t279 @t276))
% 33.95/34.57  (define @t283 () (forall @t14 @t282))
% 33.95/34.57  (define @t284 () (or @t117 @t116 @t106 @t283))
% 33.95/34.57  (define @t285 () (or @t117 @t116 @t106 @t282))
% 33.95/34.57  (define @t286 () (or @t280 @t118 @t117 @t116 @t279 @t106 @t276))
% 33.95/34.57  (define @t287 () (or @t118 @t117 @t116 @t279 @t106 @t276))
% 33.95/34.57  (define @t288 () (or @t156 @t263 @t277))
% 33.95/34.57  (define @t289 () (or @t157 @t288))
% 33.95/34.57  (define @t290 () (forall @t158 @t289))
% 33.95/34.57  (define @t291 () (@list @t152))
% 33.95/34.57  (define @t292 () (forall @t291 @t289))
% 33.95/34.57  (define @t293 () (forall @t291 @t288))
% 33.95/34.57  (define @t294 () (or @t157 @t293))
% 33.95/34.57  (define @t295 () (= @t10 @t108))
% 33.95/34.57  (define @t296 () (not @t295))
% 33.95/34.57  (define @t297 () (= @t12 @t109))
% 33.95/34.57  (define @t298 () (not @t30))
% 33.95/34.57  (define @t299 () (forall @t31 (or @t298 @t297 @t296)))
% 33.95/34.57  (define @t300 () (not @t299))
% 33.95/34.57  (define @t301 () (and @t113 @t300))
% 33.95/34.57  (define @t302 () (forall @t33 (not @t301)))
% 33.95/34.57  (define @t303 () (not @t302))
% 33.95/34.57  (define @t304 () (not @t297))
% 33.95/34.57  (define @t305 () (not @t304))
% 33.95/34.57  (define @t306 () (or @t298 @t305 @t296))
% 33.95/34.57  (define @t307 () (and @t30 @t304 @t295))
% 33.95/34.57  (define @t308 () (forall @t31 (not @t307)))
% 33.95/34.57  (define @t309 () (not @t308))
% 33.95/34.57  (define @t310 () (@quantifiers_skolemize @t162 0))
% 33.95/34.57  (define @t311 () (= tptp.nil @t310))
% 33.95/34.57  (define @t312 () (not @t311))
% 33.95/34.57  (define @t313 () (not (= @t153 @t163)))
% 33.95/34.57  (define @t314 () (forall @t158 (or @t157 @t156 (= @t154 @t310) @t313)))
% 33.95/34.57  (define @t315 () (not @t314))
% 33.95/34.57  (define @t316 () (not @t226))
% 33.95/34.57  (define @t317 () (tptp.neq @t310 tptp.nil))
% 33.95/34.57  (define @t318 () (tptp.ssList @t310))
% 33.95/34.57  (define @t319 () (not @t318))
% 33.95/34.57  (define @t320 () (or @t319 @t317 @t205 @t316 @t315 (and @t312 @t210)))
% 33.95/34.57  (define @t321 () (not @t320))
% 33.95/34.57  (define @t322 () (not @t162))
% 33.95/34.57  (define @t323 () (not (= @t310 tptp.nil)))
% 33.95/34.57  (define @t324 () (and @t323 @t210))
% 33.95/34.57  (define @t325 () (or @t157 @t156 (= @t310 @t154) @t313))
% 33.95/34.57  (define @t326 () (forall @t158 @t325))
% 33.95/34.57  (define @t327 () (not @t326))
% 33.95/34.57  (define @t328 () (or @t319 @t317 @t205 @t316 @t327 @t324))
% 33.95/34.57  (define @t329 () (not @t328))
% 33.95/34.57  (define @t330 () (@list true))
% 33.95/34.57  (define @t331 () (@list @t320))
% 33.95/34.57  (define @t332 () (@list false false false))
% 33.95/34.57  (define @t333 () (@list false true false))
% 33.95/34.57  (define @t334 () (not @t203))
% 33.95/34.57  (define @t335 () (or @t228 @t334 @t177))
% 33.95/34.57  (define @t336 () (not (= @t2 @t165)))
% 33.95/34.57  (define @t337 () (or @t148 @t166 @t336))
% 33.95/34.57  (define @t338 () (not (forall @t167 @t337)))
% 33.95/34.57  (define @t339 () (or @t135 @t129 @t338))
% 33.95/34.57  (define @t340 () (or @t129 @t338))
% 33.95/34.57  (define @t341 () (or @t166 @t336))
% 33.95/34.57  (define @t342 () (or @t148 @t341))
% 33.95/34.57  (define @t343 () (forall @t167 @t342))
% 33.95/34.57  (define @t344 () (@list @t164))
% 33.95/34.57  (define @t345 () (forall @t344 @t342))
% 33.95/34.57  (define @t346 () (forall @t344 @t341))
% 33.95/34.57  (define @t347 () (or @t148 @t346))
% 33.95/34.57  (define @t348 () (= @t2 @t47))
% 33.95/34.57  (define @t349 () (forall @t16 (or (not @t34) (not @t348))))
% 33.95/34.57  (define @t350 () (not @t349))
% 33.95/34.57  (define @t351 () (and @t21 @t350))
% 33.95/34.57  (define @t352 () (forall @t7 (not @t351)))
% 33.95/34.57  (define @t353 () (not @t352))
% 33.95/34.57  (define @t354 () (and @t34 @t348))
% 33.95/34.57  (define @t355 () (forall @t16 (not @t354)))
% 33.95/34.57  (define @t356 () (not @t355))
% 33.95/34.57  (define @t357 () (not (= @t163 @t165)))
% 33.95/34.57  (define @t358 () (or @t148 @t166 @t357))
% 33.95/34.57  (define @t359 () (forall @t167 @t358))
% 33.95/34.57  (define @t360 () (not @t359))
% 33.95/34.57  (define @t361 () (or @t205 @t206 @t360))
% 33.95/34.57  (define @t362 () (forall @t9 @t339))
% 33.95/34.57  (define @t363 () (not @t168))
% 33.95/34.57  (define @t364 () (or @t205 @t210 @t363))
% 33.95/34.57  (define @t365 () (@quantifiers_skolemize @t168 1))
% 33.95/34.57  (define @t366 () (tptp.cons @t365 @t169))
% 33.95/34.57  (define @t367 () (= @t163 @t366))
% 33.95/34.57  (define @t368 () (not @t367))
% 33.95/34.57  (define @t369 () (tptp.ssItem @t365))
% 33.95/34.57  (define @t370 () (not @t369))
% 33.95/34.57  (define @t371 () (or @t180 @t370 @t368))
% 33.95/34.57  (define @t372 () (not @t371))
% 33.95/34.57  (define @t373 () (not (= @t366 @t163)))
% 33.95/34.57  (define @t374 () (or @t180 @t370 @t373))
% 33.95/34.57  (define @t375 () (not @t374))
% 33.95/34.57  (define @t376 () (@list @t371))
% 33.95/34.57  (define @t377 () (@var "BOUND_VARIABLE_9289" $$unsorted))
% 33.95/34.57  (define @t378 () (not (= tptp.nil (tptp.cons @t377 @t2))))
% 33.95/34.57  (define @t379 () (not (tptp.ssItem @t377)))
% 33.95/34.57  (define @t380 () (or @t379 @t378))
% 33.95/34.57  (define @t381 () (or @t135 @t380))
% 33.95/34.57  (define @t382 () (forall (@list @t2 @t377) @t381))
% 33.95/34.57  (define @t383 () (@list @t377))
% 33.95/34.57  (define @t384 () (forall @t383 @t381))
% 33.95/34.57  (define @t385 () (forall @t383 @t380))
% 33.95/34.57  (define @t386 () (or @t135 @t385))
% 33.95/34.57  (define @t387 () (forall @t7 (or @t197 @t56)))
% 33.95/34.57  (define @t388 () (not @t172))
% 33.95/34.57  (define @t389 () (or @t228 @t334 @t388))
% 33.95/34.57  (define @t390 () (not @t183))
% 33.95/34.57  (define @t391 () (not @t175))
% 33.95/34.57  (define @t392 () (@list true false))
% 33.95/34.57  (define @t393 () (tptp.app @t171 @t169))
% 33.95/34.57  (define @t394 () (not (= @t393 @t163)))
% 33.95/34.57  (define @t395 () (or @t334 @t180 (= @t174 @t310) @t394))
% 33.95/34.57  (define @t396 () (= @t163 @t393))
% 33.95/34.57  (define @t397 () (not @t396))
% 33.95/34.57  (define @t398 () (= @t310 @t174))
% 33.95/34.57  (define @t399 () (or @t334 @t180 @t398 @t397))
% 33.95/34.57  (define @t400 () (@var "BOUND_VARIABLE_9350" $$unsorted))
% 33.95/34.57  (define @t401 () (= @t2 (tptp.tl (tptp.cons @t400 @t2))))
% 33.95/34.57  (define @t402 () (not (tptp.ssItem @t400)))
% 33.95/34.57  (define @t403 () (or @t402 @t401))
% 33.95/34.57  (define @t404 () (or @t135 @t403))
% 33.95/34.57  (define @t405 () (forall (@list @t2 @t400) @t404))
% 33.95/34.57  (define @t406 () (@list @t400))
% 33.95/34.57  (define @t407 () (forall @t406 @t404))
% 33.95/34.57  (define @t408 () (forall @t406 @t403))
% 33.95/34.57  (define @t409 () (or @t135 @t408))
% 33.95/34.57  (define @t410 () (= @t2 @t67))
% 33.95/34.57  (define @t411 () (forall @t7 (or @t197 @t410)))
% 33.95/34.57  (define @t412 () (= @t169 (tptp.tl @t366)))
% 33.95/34.57  (define @t413 () (or @t180 @t370 @t412))
% 33.95/34.57  (define @t414 () (tptp.tl @t163))
% 33.95/34.57  (define @t415 () (tptp.app @t171 @t414))
% 33.95/34.57  (define @t416 () (@var "BOUND_VARIABLE_10529" $$unsorted))
% 33.95/34.57  (define @t417 () (= (tptp.cons @t416 @t2) (tptp.app (tptp.cons @t416 tptp.nil) @t2)))
% 33.95/34.57  (define @t418 () (not (tptp.ssItem @t416)))
% 33.95/34.57  (define @t419 () (or @t418 @t417))
% 33.95/34.57  (define @t420 () (or @t135 @t419))
% 33.95/34.57  (define @t421 () (forall (@list @t2 @t416) @t420))
% 33.95/34.57  (define @t422 () (@list @t416))
% 33.95/34.57  (define @t423 () (forall @t422 @t420))
% 33.95/34.57  (define @t424 () (forall @t422 @t419))
% 33.95/34.57  (define @t425 () (or @t135 @t424))
% 33.95/34.57  (define @t426 () (forall @t7 (or @t197 @t93)))
% 33.95/34.57  (define @t427 () (tptp.ssList @t414))
% 33.95/34.57  (define @t428 () (tptp.cons @t170 @t414))
% 33.95/34.57  (define @t429 () (= @t428 @t415))
% 33.95/34.57  (define @t430 () (not @t427))
% 33.95/34.57  (define @t431 () (or @t430 @t334 @t429))
% 33.95/34.57  (define @t432 () (= @t2 @t88))
% 33.95/34.57  (define @t433 () (or @t135 @t129 @t432))
% 33.95/34.57  (define @t434 () (=> @t151 @t432))
% 33.95/34.57  (define @t435 () (= @t163 @t428))
% 33.95/34.57  (define @t436 () (or @t205 @t206 @t435))
% 33.95/34.57  (define @t437 () (forall @t9 @t433))
% 33.95/34.57  (define @t438 () (or @t205 @t210 @t435))
% 33.95/34.57  (define @t439 () (= @t317 @t323))
% 33.95/34.57  (define @t440 () (or @t319 @t228 @t439))
% 33.95/34.57  (define @t441 () (= @t317 @t312))
% 33.95/34.57  (define @t442 () (or @t319 @t228 @t441))
% 33.95/34.57  (define @t443 () (not @t441))
% 33.95/34.57  (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5)))))
% 33.95/34.57  (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4)))))
% 33.95/34.57  (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2)))))))))))
% 33.95/34.57  (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2)))))))
% 33.95/34.57  (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2)))))))))
% 33.95/34.57  (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2)))))))))
% 33.95/34.57  (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2)))))))))))
% 33.95/34.57  (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25)))))))))))))))))
% 33.95/34.57  (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25))))))))))))))))
% 33.95/34.57  (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1)))))))))))))))))
% 33.95/34.57  (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26)))))))))))))))
% 33.95/34.57  (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35)))))))))))))))
% 33.95/34.57  (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36))))))))))))))))
% 33.95/34.57  (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36)))))))))))))
% 33.95/34.57  (assume @p15 @t39)
% 33.95/34.57  (assume @p16 @t44)
% 33.95/34.57  (assume @p17 @t45)
% 33.95/34.57  (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2)))))))
% 33.95/34.57  (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t46)))))))))))
% 33.95/34.57  (assume @p20 @t55)
% 33.95/34.57  (assume @p21 @t59)
% 33.95/34.57  (assume @p22 @t65)
% 33.95/34.57  (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1))))))
% 33.95/34.57  (assume @p24 (forall @t9 (=> @t17 (=> @t62 (tptp.ssList @t66)))))
% 33.95/34.57  (assume @p25 @t71)
% 33.95/34.57  (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t72))))))
% 33.95/34.57  (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t73) (tptp.app @t47 @t2)))))))))
% 33.95/34.57  (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2))))
% 33.95/34.57  (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t75 @t74) @t3))))))
% 33.95/34.57  (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t75 @t26) (tptp.leq @t2 @t12)))))))))
% 33.95/34.57  (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2))))
% 33.95/34.57  (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t76 @t74))))))
% 33.95/34.57  (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t78 (not @t77)))))))
% 33.95/34.57  (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t78 @t35) @t79))))))))
% 33.95/34.57  (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t80 @t77))))))
% 33.95/34.57  (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t81)))))))))
% 33.95/34.57  (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t81)))))))))
% 33.95/34.57  (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2)))))
% 33.95/34.57  (assume @p39 (not (tptp.singletonP tptp.nil)))
% 33.95/34.57  (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12)))))))))
% 33.95/34.57  (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3))))))
% 33.95/34.57  (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2))))
% 33.95/34.57  (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1)))))))))
% 33.95/34.57  (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10))))))))))))
% 33.95/34.57  (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil))))
% 33.95/34.57  (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t52))))
% 33.95/34.57  (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12)))))))))
% 33.95/34.57  (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3))))))
% 33.95/34.57  (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2))))
% 33.95/34.57  (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t82 @t1)))))))))
% 33.95/34.57  (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil))))
% 33.95/34.57  (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t52))))
% 33.95/34.57  (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12)))))))))
% 33.95/34.57  (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3))))))
% 33.95/34.57  (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2))))
% 33.95/34.57  (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t82 @t10) @t1)))))))))))
% 33.95/34.57  (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil))))
% 33.95/34.57  (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t52))))
% 33.95/34.57  (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t83))))
% 33.95/34.57  (assume @p60 (tptp.cyclefreeP tptp.nil))
% 33.95/34.57  (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t83))))
% 33.95/34.57  (assume @p62 (tptp.totalorderP tptp.nil))
% 33.95/34.57  (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t83))))
% 33.95/34.57  (assume @p64 (tptp.strictorderP tptp.nil))
% 33.95/34.57  (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t83))))
% 33.95/34.57  (assume @p66 (tptp.totalorderedP tptp.nil))
% 33.95/34.57  (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t87) (or @t85 (and @t86 (tptp.totalorderedP @t1) (tptp.leq @t2 @t84)))))))))
% 33.95/34.57  (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t83))))
% 33.95/34.57  (assume @p69 (tptp.strictorderedP tptp.nil))
% 33.95/34.57  (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t87) (or @t85 (and @t86 (tptp.strictorderedP @t1) (tptp.lt @t2 @t84)))))))))
% 33.95/34.57  (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t83))))
% 33.95/34.57  (assume @p72 (tptp.duplicatefreeP tptp.nil))
% 33.95/34.57  (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t83))))
% 33.95/34.57  (assume @p74 (tptp.equalelemsP tptp.nil))
% 33.95/34.57  (assume @p75 (forall @t9 (=> @t17 (=> @t62 (exists @t7 (and @t6 (= @t60 @t1)))))))
% 33.95/34.57  (assume @p76 (forall @t9 (=> @t17 (=> @t62 (exists @t7 (and @t21 (= @t66 @t1)))))))
% 33.95/34.57  (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t86 @t62 (= @t84 @t60) (= (tptp.tl @t1) @t66)) @t46))))))
% 33.95/34.57  (assume @p78 @t91)
% 33.95/34.57  (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t72) @t92))))))))
% 33.95/34.57  (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t73) @t92))))))))
% 33.95/34.57  (assume @p81 @t96)
% 33.95/34.57  (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t72 @t12) (tptp.app @t2 @t19)))))))))
% 33.95/34.57  (assume @p83 @t103)
% 33.95/34.57  (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2))))
% 33.95/34.57  (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t62 (= (tptp.hd @t72) @t60)))))))
% 33.95/34.57  (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t62 (= (tptp.tl @t72) (tptp.app @t66 @t1))))))))
% 33.95/34.57  (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t76 (tptp.geq @t1 @t2)) @t3))))))
% 33.95/34.57  (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t76 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12)))))))))
% 33.95/34.57  (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2))))
% 33.95/34.57  (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2)))))
% 33.95/34.57  (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t75 @t35) @t79))))))))
% 33.95/34.57  (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t75 (or @t3 @t78)))))))
% 33.95/34.57  (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t78 (and @t4 @t75)))))))
% 33.95/34.57  (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t80 (not (tptp.gt @t1 @t2))))))))
% 33.95/34.57  (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t80 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12)))))))))
% 33.95/34.57  (assume @p96 @t128)
% 33.95/34.57  (assume @p97 true)
% 33.95/34.57  (step @p98 :rule evaluate :args ((= true false)))
% 33.95/34.57  (step @p99 :rule refl :args (@t129))
% 33.95/34.57  (step @p100 :rule eq-symm :args (@t130 tptp.nil))
% 33.95/34.57  (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t131))
% 33.95/34.57  (step @p102 :rule refl :args (@t132))
% 33.95/34.57  (step @p103 :rule cong :premises (@p102 @p101) :args (@t133))
% 33.95/34.57  (step @p104 :rule refl :args (@t134))
% 33.95/34.57  (step @p105 :rule refl :args (@t135))
% 33.95/34.57  (step @p106 :rule nary_cong :premises (@p105 @p104 @p103) :args (@t136))
% 33.95/34.57  (step @p107 :rule aci_norm :args ((= @t138 @t136)))
% 33.95/34.57  (step @p108 :rule trans :premises (@p107 @p106))
% 33.95/34.57  (step @p109 :rule cong :premises (@p108) :args (@t140))
% 33.95/34.57  (step @p110 :rule quant-merge-prenex :args ((= (forall @t9 @t142) @t140)))
% 33.95/34.57  (step @p111 :rule alpha_equiv :args (@t143 (@list @t130) @t144))
% 33.95/34.57  (step @p112 :rule refl :args (@t135))
% 33.95/34.57  (step @p113 :rule nary_cong :premises (@p112 @p111) :args (@t145))
% 33.95/34.57  (step @p114 :rule quant-miniscope-or :args ((= @t142 @t145)))
% 33.95/34.57  (step @p115 :rule trans :premises (@p114 @p113))
% 33.95/34.57  (step @p116 :rule symm :premises (@p115))
% 33.95/34.57  (step @p117 :rule cong :premises (@p116) :args ((forall @t9 (or @t135 @t149))))
% 33.95/34.57  (step @p118 :rule trans :premises (@p117 @p110))
% 33.95/34.57  (step @p119 :rule trans :premises (@p118 @p109))
% 33.95/34.57  (step @p120 :rule bool-impl-elim :args (@t17 @t149))
% 33.95/34.57  (step @p121 :rule cong :premises (@p120) :args ((forall @t9 (=> @t17 @t149))))
% 33.95/34.57  (step @p122 :rule trans :premises (@p121 @p119))
% 33.95/34.57  (step @p123 :rule bool-impl-elim :args (@t21 @t147))
% 33.95/34.57  (step @p124 :rule cong :premises (@p123) :args ((forall @t7 (=> @t21 @t147))))
% 33.95/34.57  (step @p125 :rule eq-symm :args (tptp.nil @t2))
% 33.95/34.57  (step @p126 :rule eq-symm :args (tptp.nil @t1))
% 33.95/34.57  (step @p127 :rule nary_cong :premises (@p126 @p125) :args (@t97))
% 33.95/34.57  (step @p128 :rule refl :args (@t98))
% 33.95/34.57  (step @p129 :rule cong :premises (@p128 @p127) :args (@t99))
% 33.95/34.57  (step @p130 :rule refl :args (@t21))
% 33.95/34.57  (step @p131 :rule cong :premises (@p130 @p129) :args (@t100))
% 33.95/34.57  (step @p132 :rule cong :premises (@p131) :args (@t101))
% 33.95/34.57  (step @p133 :rule trans :premises (@p132 @p124))
% 33.95/34.57  (step @p134 :rule refl :args (@t17))
% 33.95/34.57  (step @p135 :rule cong :premises (@p134 @p133) :args (@t102))
% 33.95/34.57  (step @p136 :rule cong :premises (@p135) :args (@t103))
% 33.95/34.57  (step @p137 :rule trans :premises (@p136 @p122))
% 33.95/34.57  (step @p138 :rule eq_resolve :premises (@p83 @p137))
% 33.95/34.57  (step @p139 :rule eq-symm :args (@t169 tptp.nil))
% 33.95/34.57  (step @p140 :rule refl :args (@t172))
% 33.95/34.57  (step @p141 :rule nary_cong :premises (@p140 @p139) :args (@t173))
% 33.95/34.57  (step @p142 :rule refl :args (@t175))
% 33.95/34.57  (step @p143 :rule cong :premises (@p142 @p141) :args (@t176))
% 33.95/34.57  (step @p144 :rule refl :args (@t178))
% 33.95/34.57  (step @p145 :rule refl :args (@t180))
% 33.95/34.57  (step @p146 :rule nary_cong :premises (@p145 @p144 @p143) :args (@t181))
% 33.95/34.57  (step @p147 :rule refl :args (@t182))
% 33.95/34.57  (step @p148 :rule cong :premises (@p147 @p146) :args ((=> @t182 @t181)))
% 33.95/34.57  (assume-push @p759 @t182)
% 33.95/34.57  (step @p150 :rule instantiate :premises (@p138) :args ((@list @t169 @t171)))
% 33.95/34.57  (step-pop @p760 :rule scope :premises (@p150))
% 33.95/34.57  (step @p151 :rule process_scope :premises (@p760) :args (@t181))
% 33.95/34.57  (step @p153 :rule eq_resolve :premises (@p151 @p148))
% 33.95/34.57  (step @p154 :rule implies_elim :premises (@p153))
% 33.95/34.57  (step @p155 :rule chain_m_resolution :premises (@p154 @p138) :args (@t185 @t186 (@list @t182)))
% 33.95/34.57  (step @p156 :rule aci_norm :args ((= @t191 (or @t135 @t189 @t188))))
% 33.95/34.57  (step @p157 :rule cong :premises (@p156) :args (@t192))
% 33.95/34.57  (step @p158 :rule quant-merge-prenex :args ((= (forall @t9 @t194) @t192)))
% 33.95/34.57  (step @p159 :rule alpha_equiv :args (@t195 (@list @t187) @t144))
% 33.95/34.57  (step @p160 :rule nary_cong :premises (@p112 @p159) :args (@t196))
% 33.95/34.57  (step @p161 :rule quant-miniscope-or :args ((= @t194 @t196)))
% 33.95/34.57  (step @p162 :rule trans :premises (@p161 @p160))
% 33.95/34.57  (step @p163 :rule symm :premises (@p162))
% 33.95/34.57  (step @p164 :rule cong :premises (@p163) :args ((forall @t9 (or @t135 @t198))))
% 33.95/34.57  (step @p165 :rule trans :premises (@p164 @p158))
% 33.95/34.57  (step @p166 :rule trans :premises (@p165 @p157))
% 33.95/34.57  (step @p167 :rule bool-impl-elim :args (@t17 @t198))
% 33.95/34.57  (step @p168 :rule cong :premises (@p167) :args ((forall @t9 (=> @t17 @t198))))
% 33.95/34.57  (step @p169 :rule trans :premises (@p168 @p166))
% 33.95/34.57  (step @p170 :rule bool-impl-elim :args (@t6 @t41))
% 33.95/34.57  (step @p171 :rule cong :premises (@p170) :args (@t42))
% 33.95/34.57  (step @p172 :rule cong :premises (@p134 @p171) :args (@t43))
% 33.95/34.57  (step @p173 :rule cong :premises (@p172) :args (@t44))
% 33.95/34.57  (step @p174 :rule trans :premises (@p173 @p169))
% 33.95/34.57  (step @p175 :rule eq_resolve :premises (@p16 @p174))
% 33.95/34.57  (step @p176 :rule instantiate :premises (@p175) :args (@t199))
% 33.95/34.57  (step @p177 :rule aci_norm :args ((= (or @t135 (or @t129 @t61)) @t200)))
% 33.95/34.57  (step @p178 :rule refl :args (@t61))
% 33.95/34.57  (step @p179 :rule bool-double-not-elim :args (@t129))
% 33.95/34.57  (step @p180 :rule nary_cong :premises (@p179 @p178) :args ((or @t201 @t61)))
% 33.95/34.57  (step @p181 :rule bool-impl-elim :args (@t151 @t61))
% 33.95/34.57  (step @p182 :rule trans :premises (@p181 @p180))
% 33.95/34.57  (step @p183 :rule nary_cong :premises (@p112 @p182) :args ((or @t135 @t202)))
% 33.95/34.57  (step @p184 :rule trans :premises (@p183 @p177))
% 33.95/34.57  (step @p185 :rule bool-impl-elim :args (@t17 @t202))
% 33.95/34.57  (step @p186 :rule trans :premises (@p185 @p184))
% 33.95/34.57  (step @p187 :rule cong :premises (@p186) :args ((forall @t9 (=> @t17 @t202))))
% 33.95/34.57  (step @p188 :rule refl :args (@t61))
% 33.95/34.57  (step @p189 :rule cong :premises (@p125) :args (@t62))
% 33.95/34.57  (step @p190 :rule cong :premises (@p189 @p188) :args (@t63))
% 33.95/34.57  (step @p191 :rule cong :premises (@p134 @p190) :args (@t64))
% 33.95/34.57  (step @p192 :rule cong :premises (@p191) :args (@t65))
% 33.95/34.57  (step @p193 :rule trans :premises (@p192 @p187))
% 33.95/34.57  (step @p194 :rule eq_resolve :premises (@p22 @p193))
% 33.95/34.57  (step @p195 :rule refl :args (@t203))
% 33.95/34.57  (step @p196 :rule eq-symm :args (@t163 tptp.nil))
% 33.95/34.57  (step @p197 :rule refl :args (@t205))
% 33.95/34.57  (step @p198 :rule nary_cong :premises (@p197 @p196 @p195) :args (@t207))
% 33.95/34.57  (step @p199 :rule refl :args (@t208))
% 33.95/34.57  (step @p200 :rule cong :premises (@p199 @p198) :args ((=> @t208 @t207)))
% 33.95/34.57  (assume-push @p761 @t208)
% 33.95/34.57  (step @p202 :rule instantiate :premises (@p194) :args (@t209))
% 33.95/34.57  (step-pop @p762 :rule scope :premises (@p202))
% 33.95/34.57  (step @p203 :rule process_scope :premises (@p762) :args (@t207))
% 33.95/34.57  (step @p205 :rule eq_resolve :premises (@p203 @p200))
% 33.95/34.57  (step @p206 :rule implies_elim :premises (@p205))
% 33.95/34.57  (step @p207 :rule chain_m_resolution :premises (@p206 @p194) :args (@t211 @t186 (@list @t208)))
% 33.95/34.57  (step @p208 :rule aci_norm :args ((= @t217 @t215)))
% 33.95/34.57  (step @p209 :rule cong :premises (@p208) :args (@t219))
% 33.95/34.57  (step @p210 :rule quant-merge-prenex :args ((= (forall @t9 @t221) @t219)))
% 33.95/34.57  (step @p211 :rule alpha_equiv :args (@t222 (@list @t212) @t144))
% 33.95/34.57  (step @p212 :rule nary_cong :premises (@p112 @p211) :args (@t223))
% 33.95/34.57  (step @p213 :rule quant-miniscope-or :args ((= @t221 @t223)))
% 33.95/34.57  (step @p214 :rule trans :premises (@p213 @p212))
% 33.95/34.57  (step @p215 :rule symm :premises (@p214))
% 33.95/34.57  (step @p216 :rule cong :premises (@p215) :args ((forall @t9 (or @t135 @t224))))
% 33.95/34.57  (step @p217 :rule trans :premises (@p216 @p210))
% 33.95/34.57  (step @p218 :rule trans :premises (@p217 @p209))
% 33.95/34.57  (step @p219 :rule bool-impl-elim :args (@t17 @t224))
% 33.95/34.57  (step @p220 :rule cong :premises (@p219) :args ((forall @t9 (=> @t17 @t224))))
% 33.95/34.57  (step @p221 :rule trans :premises (@p220 @p218))
% 33.95/34.57  (step @p222 :rule bool-impl-elim :args (@t21 @t5))
% 33.95/34.57  (step @p223 :rule cong :premises (@p222) :args (@t37))
% 33.95/34.57  (step @p224 :rule cong :premises (@p134 @p223) :args (@t38))
% 33.95/34.57  (step @p225 :rule cong :premises (@p224) :args (@t39))
% 33.95/34.57  (step @p226 :rule trans :premises (@p225 @p221))
% 33.95/34.57  (step @p227 :rule eq_resolve :premises (@p15 @p226))
% 33.95/34.57  (step @p228 :rule cong :premises (@p196) :args (@t225))
% 33.95/34.57  (step @p229 :rule refl :args (@t226))
% 33.95/34.57  (step @p230 :rule cong :premises (@p229 @p228) :args (@t227))
% 33.95/34.57  (step @p231 :rule refl :args (@t228))
% 33.95/34.57  (step @p232 :rule nary_cong :premises (@p197 @p231 @p230) :args (@t229))
% 33.95/34.57  (step @p233 :rule refl :args (@t230))
% 33.95/34.57  (step @p234 :rule cong :premises (@p233 @p232) :args ((=> @t230 @t229)))
% 33.95/34.57  (assume-push @p763 @t230)
% 33.95/34.57  (step @p236 :rule instantiate :premises (@p227) :args ((@list @t163 tptp.nil)))
% 33.95/34.57  (step-pop @p764 :rule scope :premises (@p236))
% 33.95/34.57  (step @p237 :rule process_scope :premises (@p764) :args (@t229))
% 33.95/34.57  (step @p239 :rule eq_resolve :premises (@p237 @p234))
% 33.95/34.57  (step @p240 :rule implies_elim :premises (@p239))
% 33.95/34.57  (step @p241 :rule chain_m_resolution :premises (@p240 @p227) :args (@t233 @t186 @t234))
% 33.95/34.57  (step @p242 :rule eq-symm :args (@t150 tptp.nil))
% 33.95/34.57  (step @p243 :rule refl :args (@t151))
% 33.95/34.57  (step @p244 :rule nary_cong :premises (@p243 @p242) :args (@t235))
% 33.95/34.57  (step @p245 :rule eq-symm :args (@t150 @t153))
% 33.95/34.57  (step @p246 :rule cong :premises (@p245) :args (@t236))
% 33.95/34.57  (step @p247 :rule refl :args (@t155))
% 33.95/34.57  (step @p248 :rule refl :args (@t156))
% 33.95/34.57  (step @p249 :rule refl :args (@t157))
% 33.95/34.57  (step @p250 :rule nary_cong :premises (@p249 @p248 @p247 @p246) :args (@t237))
% 33.95/34.57  (step @p251 :rule cong :premises (@p250) :args (@t238))
% 33.95/34.57  (step @p252 :rule cong :premises (@p251) :args (@t239))
% 33.95/34.57  (step @p253 :rule refl :args (@t159))
% 33.95/34.57  (step @p254 :rule refl :args (@t160))
% 33.95/34.57  (step @p255 :rule refl :args (@t106))
% 33.95/34.57  (step @p256 :rule nary_cong :premises (@p105 @p255 @p254 @p253 @p252 @p244) :args (@t240))
% 33.95/34.57  (step @p257 :rule aci_norm :args ((= @t242 @t240)))
% 33.95/34.57  (step @p258 :rule trans :premises (@p257 @p256))
% 33.95/34.57  (step @p259 :rule cong :premises (@p258) :args (@t243))
% 33.95/34.57  (step @p260 :rule quant-merge-prenex :args ((= (forall @t9 @t245) @t243)))
% 33.95/34.57  (step @p261 :rule alpha_equiv :args (@t246 (@list @t150) @t144))
% 33.95/34.57  (step @p262 :rule refl :args (@t106))
% 33.95/34.57  (step @p263 :rule nary_cong :premises (@p112 @p262 @p261) :args (@t247))
% 33.95/34.57  (step @p264 :rule quant-miniscope-or :args ((= @t245 @t247)))
% 33.95/34.57  (step @p265 :rule trans :premises (@p264 @p263))
% 33.95/34.57  (step @p266 :rule symm :premises (@p265))
% 33.95/34.57  (step @p267 :rule cong :premises (@p266) :args ((forall @t9 @t253)))
% 33.95/34.57  (step @p268 :rule trans :premises (@p267 @p260))
% 33.95/34.57  (step @p269 :rule trans :premises (@p268 @p259))
% 33.95/34.57  (step @p270 :rule aci_norm :args ((= (or @t135 @t254) @t253)))
% 33.95/34.57  (step @p271 :rule bool-impl-elim :args (@t17 @t254))
% 33.95/34.57  (step @p272 :rule trans :premises (@p271 @p270))
% 33.95/34.57  (step @p273 :rule cong :premises (@p272) :args ((forall @t9 (=> @t17 @t254))))
% 33.95/34.57  (step @p274 :rule trans :premises (@p273 @p269))
% 33.95/34.57  (step @p275 :rule quant-miniscope-or :args ((= (forall @t7 @t255) @t254)))
% 33.95/34.57  (step @p276 :rule aci_norm :args ((= @t256 @t255)))
% 33.95/34.57  (step @p277 :rule cong :premises (@p276) :args ((forall @t7 @t256)))
% 33.95/34.57  (step @p278 :rule trans :premises (@p277 @p275))
% 33.95/34.57  (step @p279 :rule aci_norm :args ((= (or @t148 @t257) @t256)))
% 33.95/34.57  (step @p280 :rule bool-impl-elim :args (@t21 @t257))
% 33.95/34.57  (step @p281 :rule trans :premises (@p280 @p279))
% 33.95/34.57  (step @p282 :rule cong :premises (@p281) :args ((forall @t7 (=> @t21 @t257))))
% 33.95/34.57  (step @p283 :rule trans :premises (@p282 @p278))
% 33.95/34.57  (step @p284 :rule aci_norm :args ((= (or @t116 @t106 @t148 @t258) @t257)))
% 33.95/34.57  (step @p285 :rule aci_norm :args ((= (or @t135 false @t250 @t248) @t258)))
% 33.95/34.57  (step @p286 :rule refl :args (@t248))
% 33.95/34.57  (step @p287 :rule refl :args (@t250))
% 33.95/34.57  (step @p288 :rule evaluate :args ((not true)))
% 33.95/34.57  (step @p289 :rule eq-refl :args (@t2))
% 33.95/34.57  (step @p290 :rule cong :premises (@p289) :args (@t259))
% 33.95/34.57  (step @p291 :rule trans :premises (@p290 @p288))
% 33.95/34.57  (step @p292 :rule nary_cong :premises (@p105 @p291 @p287 @p286) :args (@t260))
% 33.95/34.57  (step @p293 :rule trans :premises (@p292 @p285))
% 33.95/34.57  (step @p294 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t92) @t265 @t117 @t264 @t262)) @t260)))
% 33.95/34.57  (step @p295 :rule refl :args (@t262))
% 33.95/34.57  (step @p296 :rule refl :args (@t264))
% 33.95/34.57  (step @p297 :rule refl :args (@t117))
% 33.95/34.57  (step @p298 :rule refl :args (@t265))
% 33.95/34.57  (step @p299 :rule eq-symm :args (@t2 @t12))
% 33.95/34.57  (step @p300 :rule cong :premises (@p299) :args (@t117))
% 33.95/34.57  (step @p301 :rule nary_cong :premises (@p300 @p298 @p297 @p296 @p295) :args (@t266))
% 33.95/34.57  (step @p302 :rule aci_norm :args ((= @t267 @t266)))
% 33.95/34.57  (step @p303 :rule trans :premises (@p302 @p301))
% 33.95/34.57  (step @p304 :rule cong :premises (@p303) :args (@t268))
% 33.95/34.57  (step @p305 :rule trans :premises (@p304 @p294))
% 33.95/34.57  (step @p306 :rule trans :premises (@p305 @p293))
% 33.95/34.57  (step @p307 :rule refl :args (@t148))
% 33.95/34.57  (step @p308 :rule refl :args (@t116))
% 33.95/34.57  (step @p309 :rule nary_cong :premises (@p308 @p255 @p307 @p306) :args (@t269))
% 33.95/34.57  (step @p310 :rule trans :premises (@p309 @p284))
% 33.95/34.57  (step @p311 :rule quant-miniscope-or :args ((= (forall @t16 @t270) @t269)))
% 33.95/34.57  (step @p312 :rule aci_norm :args ((= @t271 @t270)))
% 33.95/34.57  (step @p313 :rule cong :premises (@p312) :args ((forall @t16 @t271)))
% 33.95/34.57  (step @p314 :rule trans :premises (@p313 @p311))
% 33.95/34.57  (step @p315 :rule trans :premises (@p314 @p310))
% 33.95/34.57  (step @p316 :rule aci_norm :args ((= (or @t265 @t272) @t271)))
% 33.95/34.57  (step @p317 :rule bool-impl-elim :args (@t15 @t272))
% 33.95/34.57  (step @p318 :rule trans :premises (@p317 @p316))
% 33.95/34.57  (step @p319 :rule cong :premises (@p318) :args ((forall @t16 (=> @t15 @t272))))
% 33.95/34.57  (step @p320 :rule trans :premises (@p319 @p315))
% 33.95/34.57  (step @p321 :rule aci_norm :args ((= (or @t117 @t116 @t106 @t273) @t272)))
% 33.95/34.57  (step @p322 :rule aci_norm :args ((= (or @t148 false @t264 @t262) @t273)))
% 33.95/34.57  (step @p323 :rule refl :args (@t262))
% 33.95/34.57  (step @p324 :rule refl :args (@t264))
% 33.95/34.57  (step @p325 :rule eq-refl :args (@t1))
% 33.95/34.57  (step @p326 :rule cong :premises (@p325) :args (@t274))
% 33.95/34.57  (step @p327 :rule trans :premises (@p326 @p288))
% 33.95/34.57  (step @p328 :rule nary_cong :premises (@p307 @p327 @p324 @p323) :args (@t275))
% 33.95/34.57  (step @p329 :rule trans :premises (@p328 @p322))
% 33.95/34.57  (step @p330 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t280 @t118 @t279 @t276)) @t275)))
% 33.95/34.57  (step @p331 :rule refl :args (@t276))
% 33.95/34.57  (step @p332 :rule refl :args (@t279))
% 33.95/34.57  (step @p333 :rule refl :args (@t118))
% 33.95/34.57  (step @p334 :rule refl :args (@t280))
% 33.95/34.57  (step @p335 :rule eq-symm :args (@t1 @t10))
% 33.95/34.57  (step @p336 :rule cong :premises (@p335) :args (@t118))
% 33.95/34.57  (step @p337 :rule nary_cong :premises (@p336 @p334 @p333 @p332 @p331) :args (@t281))
% 33.95/34.57  (step @p338 :rule aci_norm :args ((= @t282 @t281)))
% 33.95/34.57  (step @p339 :rule trans :premises (@p338 @p337))
% 33.95/34.57  (step @p340 :rule cong :premises (@p339) :args (@t283))
% 33.95/34.57  (step @p341 :rule trans :premises (@p340 @p330))
% 33.95/34.57  (step @p342 :rule trans :premises (@p341 @p329))
% 33.95/34.57  (step @p343 :rule refl :args (@t117))
% 33.95/34.57  (step @p344 :rule nary_cong :premises (@p343 @p308 @p255 @p342) :args (@t284))
% 33.95/34.57  (step @p345 :rule trans :premises (@p344 @p321))
% 33.95/34.57  (step @p346 :rule quant-miniscope-or :args ((= (forall @t14 @t285) @t284)))
% 33.95/34.57  (step @p347 :rule aci_norm :args ((= @t286 @t285)))
% 33.95/34.57  (step @p348 :rule cong :premises (@p347) :args ((forall @t14 @t286)))
% 33.95/34.57  (step @p349 :rule trans :premises (@p348 @p346))
% 33.95/34.57  (step @p350 :rule trans :premises (@p349 @p345))
% 33.95/34.57  (step @p351 :rule aci_norm :args ((= (or @t280 @t287) @t286)))
% 33.95/34.57  (step @p352 :rule bool-impl-elim :args (@t13 @t287))
% 33.95/34.57  (step @p353 :rule trans :premises (@p352 @p351))
% 33.95/34.57  (step @p354 :rule cong :premises (@p353) :args ((forall @t14 (=> @t13 @t287))))
% 33.95/34.57  (step @p355 :rule trans :premises (@p354 @p350))
% 33.95/34.57  (step @p356 :rule eq-symm :args (tptp.nil @t10))
% 33.95/34.57  (step @p357 :rule eq-symm :args (tptp.nil @t12))
% 33.95/34.57  (step @p358 :rule cong :premises (@p357) :args (@t104))
% 33.95/34.57  (step @p359 :rule nary_cong :premises (@p358 @p356) :args (@t105))
% 33.95/34.57  (step @p360 :rule aci_norm :args ((= @t289 @t278)))
% 33.95/34.57  (step @p361 :rule cong :premises (@p360) :args (@t290))
% 33.95/34.57  (step @p362 :rule quant-merge-prenex :args ((= (forall @t33 @t292) @t290)))
% 33.95/34.57  (step @p363 :rule alpha_equiv :args (@t293 (@list @t152) (@list @t27)))
% 33.95/34.57  (step @p364 :rule refl :args (@t157))
% 33.95/34.57  (step @p365 :rule nary_cong :premises (@p364 @p363) :args (@t294))
% 33.95/34.57  (step @p366 :rule quant-miniscope-or :args ((= @t292 @t294)))
% 33.95/34.57  (step @p367 :rule trans :premises (@p366 @p365))
% 33.95/34.57  (step @p368 :rule symm :premises (@p367))
% 33.95/34.57  (step @p369 :rule cong :premises (@p368) :args ((forall @t33 (or @t157 @t299))))
% 33.95/34.57  (step @p370 :rule trans :premises (@p369 @p362))
% 33.95/34.57  (step @p371 :rule trans :premises (@p370 @p361))
% 33.95/34.57  (step @p372 :rule bool-double-not-elim :args (@t299))
% 33.95/34.57  (step @p373 :rule nary_cong :premises (@p364 @p372) :args ((or @t157 (not @t300))))
% 33.95/34.57  (step @p374 :rule bool-and-de-morgan :args (@t113 @t300 true))
% 33.95/34.57  (step @p375 :rule trans :premises (@p374 @p373))
% 33.95/34.57  (step @p376 :rule cong :premises (@p375) :args (@t302))
% 33.95/34.57  (step @p377 :rule trans :premises (@p376 @p371))
% 33.95/34.57  (step @p378 :rule cong :premises (@p377) :args (@t303))
% 33.95/34.57  (step @p379 :rule exists-elim :args ((= (exists @t33 @t301) @t303)))
% 33.95/34.57  (step @p380 :rule trans :premises (@p379 @p378))
% 33.95/34.57  (step @p381 :rule refl :args (@t296))
% 33.95/34.57  (step @p382 :rule bool-double-not-elim :args (@t297))
% 33.95/34.57  (step @p383 :rule refl :args (@t298))
% 33.95/34.57  (step @p384 :rule nary_cong :premises (@p383 @p382 @p381) :args (@t306))
% 33.95/34.57  (step @p385 :rule aci_norm :args ((= (or @t298 (or @t305 @t296)) @t306)))
% 33.95/34.57  (step @p386 :rule trans :premises (@p385 @p384))
% 33.95/34.57  (step @p387 :rule bool-and-de-morgan :args (@t304 @t295 true))
% 33.95/34.57  (step @p388 :rule nary_cong :premises (@p383 @p387) :args ((or @t298 (not (and @t304 @t295)))))
% 33.95/34.57  (step @p389 :rule bool-and-de-morgan :args (@t30 @t304 (and @t295)))
% 33.95/34.57  (step @p390 :rule trans :premises (@p389 @p388))
% 33.95/34.57  (step @p391 :rule trans :premises (@p390 @p386))
% 33.95/34.57  (step @p392 :rule cong :premises (@p391) :args (@t308))
% 33.95/34.57  (step @p393 :rule cong :premises (@p392) :args (@t309))
% 33.95/34.57  (step @p394 :rule exists-elim :args ((= (exists @t31 @t307) @t309)))
% 33.95/34.57  (step @p395 :rule trans :premises (@p394 @p393))
% 33.95/34.57  (step @p396 :rule eq-symm :args (@t108 @t10))
% 33.95/34.57  (step @p397 :rule eq-symm :args (@t109 @t12))
% 33.95/34.57  (step @p398 :rule cong :premises (@p397) :args (@t110))
% 33.95/34.57  (step @p399 :rule refl :args (@t30))
% 33.95/34.57  (step @p400 :rule nary_cong :premises (@p399 @p398 @p396) :args (@t111))
% 33.95/34.57  (step @p401 :rule cong :premises (@p400) :args (@t112))
% 33.95/34.57  (step @p402 :rule trans :premises (@p401 @p395))
% 33.95/34.57  (step @p403 :rule refl :args (@t113))
% 33.95/34.57  (step @p404 :rule nary_cong :premises (@p403 @p402) :args (@t114))
% 33.95/34.57  (step @p405 :rule cong :premises (@p404) :args (@t115))
% 33.95/34.57  (step @p406 :rule trans :premises (@p405 @p380))
% 33.95/34.57  (step @p407 :rule refl :args (@t118))
% 33.95/34.57  (step @p408 :rule nary_cong :premises (@p407 @p343 @p308 @p406 @p255 @p359) :args (@t119))
% 33.95/34.57  (step @p409 :rule refl :args (@t13))
% 33.95/34.57  (step @p410 :rule cong :premises (@p409 @p408) :args (@t120))
% 33.95/34.57  (step @p411 :rule cong :premises (@p410) :args (@t121))
% 33.95/34.57  (step @p412 :rule trans :premises (@p411 @p355))
% 33.95/34.57  (step @p413 :rule refl :args (@t15))
% 33.95/34.57  (step @p414 :rule cong :premises (@p413 @p412) :args (@t122))
% 33.95/34.57  (step @p415 :rule cong :premises (@p414) :args (@t123))
% 33.95/34.57  (step @p416 :rule trans :premises (@p415 @p320))
% 33.95/34.57  (step @p417 :rule cong :premises (@p130 @p416) :args (@t124))
% 33.95/34.57  (step @p418 :rule cong :premises (@p417) :args (@t125))
% 33.95/34.57  (step @p419 :rule trans :premises (@p418 @p283))
% 33.95/34.57  (step @p420 :rule cong :premises (@p134 @p419) :args (@t126))
% 33.95/34.57  (step @p421 :rule cong :premises (@p420) :args (@t127))
% 33.95/34.57  (step @p422 :rule trans :premises (@p421 @p274))
% 33.95/34.57  (step @p423 :rule cong :premises (@p422) :args (@t128))
% 33.95/34.57  (step @p424 :rule eq_resolve :premises (@p96 @p423))
% 33.95/34.57  (step @p425 :rule refl :args (@t321))
% 33.95/34.57  (step @p426 :rule bool-double-not-elim :args (@t162))
% 33.95/34.57  (step @p427 :rule nary_cong :premises (@p426 @p425) :args ((or (not @t322) @t321)))
% 33.95/34.57  (step @p428 :rule refl :args (@t210))
% 33.95/34.57  (step @p429 :rule eq-symm :args (@t310 tptp.nil))
% 33.95/34.57  (step @p430 :rule cong :premises (@p429) :args (@t323))
% 33.95/34.57  (step @p431 :rule nary_cong :premises (@p430 @p428) :args (@t324))
% 33.95/34.57  (step @p432 :rule refl :args (@t313))
% 33.95/34.57  (step @p433 :rule eq-symm :args (@t310 @t154))
% 33.95/34.57  (step @p434 :rule nary_cong :premises (@p249 @p248 @p433 @p432) :args (@t325))
% 33.95/34.57  (step @p435 :rule cong :premises (@p434) :args (@t326))
% 33.95/34.57  (step @p436 :rule cong :premises (@p435) :args (@t327))
% 33.95/34.57  (step @p437 :rule refl :args (@t316))
% 33.95/34.57  (step @p438 :rule refl :args (@t317))
% 33.95/34.57  (step @p439 :rule refl :args (@t319))
% 33.95/34.57  (step @p440 :rule nary_cong :premises (@p439 @p438 @p197 @p437 @p436 @p431) :args (@t328))
% 33.95/34.57  (step @p441 :rule cong :premises (@p440) :args (@t329))
% 33.95/34.57  (step @p442 :rule refl :args (@t322))
% 33.95/34.57  (step @p443 :rule cong :premises (@p442 @p441) :args ((=> @t322 @t329)))
% 33.95/34.57  (assume-push @p765 @t322)
% 33.95/34.57  (step @p445 :rule skolemize :premises (@p424))
% 33.95/34.57  (step-pop @p766 :rule scope :premises (@p445))
% 33.95/34.57  (step @p446 :rule process_scope :premises (@p766) :args (@t329))
% 33.95/34.57  (step @p448 :rule eq_resolve :premises (@p446 @p443))
% 33.95/34.57  (step @p449 :rule implies_elim :premises (@p448))
% 33.95/34.57  (step @p450 :rule eq_resolve :premises (@p449 @p427))
% 33.95/34.57  (step @p451 :rule chain_m_resolution :premises (@p450 @p424) :args (@t321 @t330 (@list @t162)))
% 33.95/34.57  (step @p452 :rule bool-double-not-elim :args (@t204))
% 33.95/34.57  (step @p453 :rule refl :args (@t320))
% 33.95/34.57  (step @p454 :rule nary_cong :premises (@p453 @p452) :args ((or @t320 (not @t205))))
% 33.95/34.57  (step @p455 :rule cnf_or_neg :args (@t320 2))
% 33.95/34.57  (step @p456 :rule eq_resolve :premises (@p455 @p454))
% 33.95/34.57  (step @p457 :rule reordering :premises (@p456) :args ((or @t204 @t320)))
% 33.95/34.57  (step @p458 :rule chain_m_resolution :premises (@p457 @p451) :args (@t204 @t330 @t331))
% 33.95/34.57  (step @p459 :rule cnf_or_pos :args (@t233))
% 33.95/34.57  (step @p460 :rule reordering :premises (@p459) :args ((or @t228 @t205 @t232 (not @t233))))
% 33.95/34.57  (step @p461 :rule chain_m_resolution :premises (@p460 @p17 @p458 @p241) :args (@t232 @t332 (@list @t45 @t204 @t233)))
% 33.95/34.57  (step @p462 :rule bool-double-not-elim :args (@t226))
% 33.95/34.57  (step @p463 :rule nary_cong :premises (@p453 @p462) :args ((or @t320 (not @t316))))
% 33.95/34.57  (step @p464 :rule cnf_or_neg :args (@t320 3))
% 33.95/34.57  (step @p465 :rule eq_resolve :premises (@p464 @p463))
% 33.95/34.57  (step @p466 :rule reordering :premises (@p465) :args ((or @t226 @t320)))
% 33.95/34.57  (step @p467 :rule chain_m_resolution :premises (@p466 @p451) :args (@t226 @t330 @t331))
% 33.95/34.57  (step @p468 :rule cnf_equiv_pos1 :args (@t232))
% 33.95/34.57  (step @p469 :rule reordering :premises (@p468) :args ((or @t316 @t231 (not @t232))))
% 33.95/34.57  (step @p470 :rule chain_m_resolution :premises (@p469 @p467 @p461) :args (@t231 (@list false false) (@list @t226 @t232)))
% 33.95/34.57  (step @p471 :rule cnf_or_pos :args (@t211))
% 33.95/34.57  (step @p472 :rule reordering :premises (@p471) :args ((or @t205 @t210 @t203 (not @t211))))
% 33.95/34.57  (step @p473 :rule chain_m_resolution :premises (@p472 @p458 @p470 @p207) :args (@t203 @t333 (@list @t204 @t210 @t211)))
% 33.95/34.57  (step @p474 :rule cnf_or_pos :args (@t335))
% 33.95/34.57  (step @p475 :rule reordering :premises (@p474) :args ((or @t228 @t334 @t177 (not @t335))))
% 33.95/34.57  (step @p476 :rule chain_m_resolution :premises (@p475 @p17 @p473 @p176) :args (@t177 @t332 (@list @t45 @t203 @t335)))
% 33.95/34.57  (step @p477 :rule aci_norm :args ((= (or @t135 @t340) @t339)))
% 33.95/34.57  (step @p478 :rule bool-impl-elim :args (@t17 @t340))
% 33.95/34.57  (step @p479 :rule trans :premises (@p478 @p477))
% 33.95/34.57  (step @p480 :rule cong :premises (@p479) :args ((forall @t9 (=> @t17 @t340))))
% 33.95/34.57  (step @p481 :rule aci_norm :args ((= @t342 @t337)))
% 33.95/34.57  (step @p482 :rule cong :premises (@p481) :args (@t343))
% 33.95/34.57  (step @p483 :rule quant-merge-prenex :args ((= (forall @t7 @t345) @t343)))
% 33.95/34.57  (step @p484 :rule alpha_equiv :args (@t346 (@list @t164) (@list @t12)))
% 33.95/34.57  (step @p485 :rule refl :args (@t148))
% 33.95/34.57  (step @p486 :rule nary_cong :premises (@p485 @p484) :args (@t347))
% 33.95/34.57  (step @p487 :rule quant-miniscope-or :args ((= @t345 @t347)))
% 33.95/34.57  (step @p488 :rule trans :premises (@p487 @p486))
% 33.95/34.57  (step @p489 :rule symm :premises (@p488))
% 33.95/34.57  (step @p490 :rule cong :premises (@p489) :args ((forall @t7 (or @t148 @t349))))
% 33.95/34.57  (step @p491 :rule trans :premises (@p490 @p483))
% 33.95/34.57  (step @p492 :rule trans :premises (@p491 @p482))
% 33.95/34.57  (step @p493 :rule bool-double-not-elim :args (@t349))
% 33.95/34.57  (step @p494 :rule nary_cong :premises (@p485 @p493) :args ((or @t148 (not @t350))))
% 33.95/34.57  (step @p495 :rule bool-and-de-morgan :args (@t21 @t350 true))
% 33.95/34.57  (step @p496 :rule trans :premises (@p495 @p494))
% 33.95/34.57  (step @p497 :rule cong :premises (@p496) :args (@t352))
% 33.95/34.57  (step @p498 :rule trans :premises (@p497 @p492))
% 33.95/34.57  (step @p499 :rule cong :premises (@p498) :args (@t353))
% 33.95/34.57  (step @p500 :rule exists-elim :args ((= (exists @t7 @t351) @t353)))
% 33.95/34.57  (step @p501 :rule trans :premises (@p500 @p499))
% 33.95/34.57  (step @p502 :rule bool-and-de-morgan :args (@t34 @t348 true))
% 33.95/34.57  (step @p503 :rule cong :premises (@p502) :args (@t355))
% 33.95/34.57  (step @p504 :rule cong :premises (@p503) :args (@t356))
% 33.95/34.57  (step @p505 :rule exists-elim :args ((= (exists @t16 @t354) @t356)))
% 33.95/34.57  (step @p506 :rule trans :premises (@p505 @p504))
% 33.95/34.57  (step @p507 :rule eq-symm :args (@t47 @t2))
% 33.95/34.57  (step @p508 :rule refl :args (@t34))
% 33.95/34.57  (step @p509 :rule nary_cong :premises (@p508 @p507) :args (@t48))
% 33.95/34.57  (step @p510 :rule cong :premises (@p509) :args (@t49))
% 33.95/34.57  (step @p511 :rule trans :premises (@p510 @p506))
% 33.95/34.57  (step @p512 :rule nary_cong :premises (@p130 @p511) :args (@t50))
% 33.95/34.57  (step @p513 :rule cong :premises (@p512) :args (@t51))
% 33.95/34.57  (step @p514 :rule trans :premises (@p513 @p501))
% 33.95/34.57  (step @p515 :rule nary_cong :premises (@p125 @p514) :args (@t53))
% 33.95/34.57  (step @p516 :rule cong :premises (@p134 @p515) :args (@t54))
% 33.95/34.57  (step @p517 :rule cong :premises (@p516) :args (@t55))
% 33.95/34.57  (step @p518 :rule trans :premises (@p517 @p480))
% 33.95/34.57  (step @p519 :rule eq_resolve :premises (@p20 @p518))
% 33.95/34.57  (step @p520 :rule eq-symm :args (@t163 @t165))
% 33.95/34.57  (step @p521 :rule cong :premises (@p520) :args (@t357))
% 33.95/34.57  (step @p522 :rule refl :args (@t166))
% 33.95/34.57  (step @p523 :rule nary_cong :premises (@p307 @p522 @p521) :args (@t358))
% 33.95/34.57  (step @p524 :rule cong :premises (@p523) :args (@t359))
% 33.95/34.57  (step @p525 :rule cong :premises (@p524) :args (@t360))
% 33.95/34.57  (step @p526 :rule nary_cong :premises (@p197 @p196 @p525) :args (@t361))
% 33.95/34.57  (step @p527 :rule refl :args (@t362))
% 33.95/34.57  (step @p528 :rule cong :premises (@p527 @p526) :args ((=> @t362 @t361)))
% 33.95/34.57  (assume-push @p767 @t362)
% 33.95/34.57  (step @p530 :rule instantiate :premises (@p519) :args (@t209))
% 33.95/34.57  (step-pop @p768 :rule scope :premises (@p530))
% 33.95/34.57  (step @p531 :rule process_scope :premises (@p768) :args (@t361))
% 33.95/34.57  (step @p533 :rule eq_resolve :premises (@p531 @p528))
% 33.95/34.57  (step @p534 :rule implies_elim :premises (@p533))
% 33.95/34.57  (step @p535 :rule chain_m_resolution :premises (@p534 @p519) :args (@t364 @t186 (@list @t362)))
% 33.95/34.57  (step @p536 :rule cnf_or_pos :args (@t364))
% 33.95/34.57  (step @p537 :rule reordering :premises (@p536) :args ((or @t205 @t210 @t363 (not @t364))))
% 33.95/34.57  (step @p538 :rule chain_m_resolution :premises (@p537 @p458 @p470 @p535) :args (@t363 @t333 (@list @t204 @t210 @t364)))
% 33.95/34.57  (step @p539 :rule refl :args (@t372))
% 33.95/34.57  (step @p540 :rule bool-double-not-elim :args (@t168))
% 33.95/34.57  (step @p541 :rule nary_cong :premises (@p540 @p539) :args ((or (not @t363) @t372)))
% 33.95/34.57  (step @p542 :rule eq-symm :args (@t366 @t163))
% 33.95/34.57  (step @p543 :rule cong :premises (@p542) :args (@t373))
% 33.95/34.57  (step @p544 :rule refl :args (@t370))
% 33.95/34.57  (step @p545 :rule nary_cong :premises (@p145 @p544 @p543) :args (@t374))
% 33.95/34.57  (step @p546 :rule cong :premises (@p545) :args (@t375))
% 33.95/34.57  (step @p547 :rule refl :args (@t363))
% 33.95/34.57  (step @p548 :rule cong :premises (@p547 @p546) :args ((=> @t363 @t375)))
% 33.95/34.57  (assume-push @p769 @t363)
% 33.95/34.57  (step @p550 :rule skolemize :premises (@p538))
% 33.95/34.57  (step-pop @p770 :rule scope :premises (@p550))
% 33.95/34.57  (step @p551 :rule process_scope :premises (@p770) :args (@t375))
% 33.95/34.57  (step @p553 :rule eq_resolve :premises (@p551 @p548))
% 33.95/34.57  (step @p554 :rule implies_elim :premises (@p553))
% 33.95/34.57  (step @p555 :rule eq_resolve :premises (@p554 @p541))
% 33.95/34.57  (step @p556 :rule chain_m_resolution :premises (@p555 @p538) :args (@t372 @t330 (@list @t168)))
% 33.95/34.57  (step @p557 :rule bool-double-not-elim :args (@t179))
% 33.95/34.57  (step @p558 :rule refl :args (@t371))
% 33.95/34.57  (step @p559 :rule nary_cong :premises (@p558 @p557) :args ((or @t371 (not @t180))))
% 33.95/34.57  (step @p560 :rule cnf_or_neg :args (@t371 0))
% 33.95/34.57  (step @p561 :rule eq_resolve :premises (@p560 @p559))
% 33.95/34.57  (step @p562 :rule reordering :premises (@p561) :args ((or @t179 @t371)))
% 33.95/34.57  (step @p563 :rule chain_m_resolution :premises (@p562 @p556) :args (@t179 @t330 @t376))
% 33.95/34.57  (step @p564 :rule cnf_or_pos :args (@t185))
% 33.95/34.57  (step @p565 :rule reordering :premises (@p564) :args ((or @t180 @t178 @t184 (not @t185))))
% 33.95/34.57  (step @p566 :rule chain_m_resolution :premises (@p565 @p563 @p476 @p155) :args (@t184 @t332 (@list @t179 @t177 @t185)))
% 33.95/34.57  (step @p567 :rule aci_norm :args ((= @t381 (or @t135 @t379 @t378))))
% 33.95/34.57  (step @p568 :rule cong :premises (@p567) :args (@t382))
% 33.95/34.57  (step @p569 :rule quant-merge-prenex :args ((= (forall @t9 @t384) @t382)))
% 33.95/34.57  (step @p570 :rule alpha_equiv :args (@t385 (@list @t377) @t144))
% 33.95/34.57  (step @p571 :rule nary_cong :premises (@p112 @p570) :args (@t386))
% 33.95/34.57  (step @p572 :rule quant-miniscope-or :args ((= @t384 @t386)))
% 33.95/34.57  (step @p573 :rule trans :premises (@p572 @p571))
% 33.95/34.57  (step @p574 :rule symm :premises (@p573))
% 33.95/34.57  (step @p575 :rule cong :premises (@p574) :args ((forall @t9 (or @t135 @t387))))
% 33.95/34.57  (step @p576 :rule trans :premises (@p575 @p569))
% 33.95/34.57  (step @p577 :rule trans :premises (@p576 @p568))
% 33.95/34.57  (step @p578 :rule bool-impl-elim :args (@t17 @t387))
% 33.95/34.57  (step @p579 :rule cong :premises (@p578) :args ((forall @t9 (=> @t17 @t387))))
% 33.95/34.57  (step @p580 :rule trans :premises (@p579 @p577))
% 33.95/34.57  (step @p581 :rule bool-impl-elim :args (@t6 @t56))
% 33.95/34.57  (step @p582 :rule cong :premises (@p581) :args (@t57))
% 33.95/34.57  (step @p583 :rule cong :premises (@p134 @p582) :args (@t58))
% 33.95/34.57  (step @p584 :rule cong :premises (@p583) :args (@t59))
% 33.95/34.57  (step @p585 :rule trans :premises (@p584 @p580))
% 33.95/34.57  (step @p586 :rule eq_resolve :premises (@p21 @p585))
% 33.95/34.58  (step @p587 :rule instantiate :premises (@p586) :args (@t199))
% 33.95/34.58  (step @p588 :rule cnf_or_pos :args (@t389))
% 33.95/34.58  (step @p589 :rule reordering :premises (@p588) :args ((or @t228 @t334 @t388 (not @t389))))
% 33.95/34.58  (step @p590 :rule chain_m_resolution :premises (@p589 @p17 @p473 @p587) :args (@t388 @t332 (@list @t45 @t203 @t389)))
% 33.95/34.58  (step @p591 :rule cnf_and_pos :args (@t183 0))
% 33.95/34.58  (step @p592 :rule reordering :premises (@p591) :args ((or @t172 @t390)))
% 33.95/34.58  (step @p593 :rule chain_m_resolution :premises (@p592 @p590) :args (@t390 @t330 (@list @t172)))
% 33.95/34.58  (step @p594 :rule cnf_equiv_pos1 :args (@t184))
% 33.95/34.58  (step @p595 :rule reordering :premises (@p594) :args ((or @t183 @t391 (not @t184))))
% 33.95/34.58  (step @p596 :rule chain_m_resolution :premises (@p595 @p593 @p566) :args (@t391 @t392 (@list @t183 @t184)))
% 33.95/34.58  (step @p597 :rule false_intro :premises (@p596))
% 33.95/34.58  (step @p598 :rule bool-double-not-elim :args (@t314))
% 33.95/34.58  (step @p599 :rule nary_cong :premises (@p453 @p598) :args ((or @t320 (not @t315))))
% 33.95/34.58  (step @p600 :rule cnf_or_neg :args (@t320 4))
% 33.95/34.58  (step @p601 :rule eq_resolve :premises (@p600 @p599))
% 33.95/34.58  (step @p602 :rule reordering :premises (@p601) :args ((or @t314 @t320)))
% 33.95/34.58  (step @p603 :rule chain_m_resolution :premises (@p602 @p451) :args (@t314 @t330 @t331))
% 33.95/34.58  (step @p604 :rule eq-symm :args (@t393 @t163))
% 33.95/34.58  (step @p605 :rule cong :premises (@p604) :args (@t394))
% 33.95/34.58  (step @p606 :rule eq-symm :args (@t174 @t310))
% 33.95/34.58  (step @p607 :rule refl :args (@t334))
% 33.95/34.58  (step @p608 :rule nary_cong :premises (@p607 @p145 @p606 @p605) :args (@t395))
% 33.95/34.58  (step @p609 :rule refl :args (@t314))
% 33.95/34.58  (step @p610 :rule cong :premises (@p609 @p608) :args ((=> @t314 @t395)))
% 33.95/34.58  (assume-push @p771 @t314)
% 33.95/34.58  (step @p612 :rule instantiate :premises (@p603) :args ((@list @t170 @t169)))
% 33.95/34.58  (step-pop @p772 :rule scope :premises (@p612))
% 33.95/34.58  (step @p613 :rule process_scope :premises (@p772) :args (@t395))
% 33.95/34.58  (step @p615 :rule eq_resolve :premises (@p613 @p610))
% 33.95/34.58  (step @p616 :rule implies_elim :premises (@p615))
% 33.95/34.58  (step @p617 :rule chain_m_resolution :premises (@p616 @p603) :args (@t399 @t186 (@list @t314)))
% 33.95/34.58  (step @p618 :rule aci_norm :args ((= @t404 (or @t135 @t402 @t401))))
% 33.95/34.58  (step @p619 :rule cong :premises (@p618) :args (@t405))
% 33.95/34.58  (step @p620 :rule quant-merge-prenex :args ((= (forall @t9 @t407) @t405)))
% 33.95/34.58  (step @p621 :rule alpha_equiv :args (@t408 (@list @t400) @t144))
% 33.95/34.58  (step @p622 :rule nary_cong :premises (@p112 @p621) :args (@t409))
% 33.95/34.58  (step @p623 :rule quant-miniscope-or :args ((= @t407 @t409)))
% 33.95/34.58  (step @p624 :rule trans :premises (@p623 @p622))
% 33.95/34.58  (step @p625 :rule symm :premises (@p624))
% 33.95/34.58  (step @p626 :rule cong :premises (@p625) :args ((forall @t9 (or @t135 @t411))))
% 33.95/34.58  (step @p627 :rule trans :premises (@p626 @p620))
% 33.95/34.58  (step @p628 :rule trans :premises (@p627 @p619))
% 33.95/34.58  (step @p629 :rule bool-impl-elim :args (@t17 @t411))
% 33.95/34.58  (step @p630 :rule cong :premises (@p629) :args ((forall @t9 (=> @t17 @t411))))
% 33.95/34.58  (step @p631 :rule trans :premises (@p630 @p628))
% 33.95/34.58  (step @p632 :rule bool-impl-elim :args (@t6 @t410))
% 33.95/34.58  (step @p633 :rule cong :premises (@p632) :args ((forall @t7 (=> @t6 @t410))))
% 33.95/34.58  (step @p634 :rule eq-symm :args (@t67 @t2))
% 33.95/34.58  (step @p635 :rule refl :args (@t6))
% 33.95/34.58  (step @p636 :rule cong :premises (@p635 @p634) :args (@t68))
% 33.95/34.58  (step @p637 :rule cong :premises (@p636) :args (@t69))
% 33.95/34.58  (step @p638 :rule trans :premises (@p637 @p633))
% 33.95/34.58  (step @p639 :rule cong :premises (@p134 @p638) :args (@t70))
% 33.95/34.58  (step @p640 :rule cong :premises (@p639) :args (@t71))
% 33.95/34.58  (step @p641 :rule trans :premises (@p640 @p631))
% 33.95/34.58  (step @p642 :rule eq_resolve :premises (@p25 @p641))
% 33.95/34.58  (step @p643 :rule instantiate :premises (@p642) :args ((@list @t169 @t365)))
% 33.95/34.58  (step @p644 :rule bool-double-not-elim :args (@t369))
% 33.95/34.58  (step @p645 :rule nary_cong :premises (@p558 @p644) :args ((or @t371 (not @t370))))
% 33.95/34.58  (step @p646 :rule cnf_or_neg :args (@t371 1))
% 33.95/34.58  (step @p647 :rule eq_resolve :premises (@p646 @p645))
% 33.95/34.58  (step @p648 :rule reordering :premises (@p647) :args ((or @t369 @t371)))
% 33.95/34.58  (step @p649 :rule chain_m_resolution :premises (@p648 @p556) :args (@t369 @t330 @t376))
% 33.95/34.58  (step @p650 :rule cnf_or_pos :args (@t413))
% 33.95/34.58  (step @p651 :rule reordering :premises (@p650) :args ((or @t180 @t370 @t412 (not @t413))))
% 33.95/34.58  (step @p652 :rule chain_m_resolution :premises (@p651 @p563 @p649 @p643) :args (@t412 @t332 (@list @t179 @t369 @t413)))
% 33.95/34.58  (step @p653 :rule symm :premises (@p652))
% 33.95/34.58  (step @p654 :rule bool-double-not-elim :args (@t367))
% 33.95/34.58  (step @p655 :rule nary_cong :premises (@p558 @p654) :args ((or @t371 (not @t368))))
% 33.95/34.58  (step @p656 :rule cnf_or_neg :args (@t371 2))
% 33.95/34.58  (step @p657 :rule eq_resolve :premises (@p656 @p655))
% 33.95/34.58  (step @p658 :rule reordering :premises (@p657) :args ((or @t367 @t371)))
% 33.95/34.58  (step @p659 :rule chain_m_resolution :premises (@p658 @p556) :args (@t367 @t330 @t376))
% 33.95/34.58  (step @p660 :rule cong :premises (@p659) :args (@t414))
% 33.95/34.58  (step @p661 :rule trans :premises (@p660 @p653))
% 33.95/34.58  (step @p662 :rule refl :args (@t171))
% 33.95/34.58  (step @p663 :rule cong :premises (@p662 @p661) :args (@t415))
% 33.95/34.58  (step @p664 :rule aci_norm :args ((= @t420 (or @t135 @t418 @t417))))
% 33.95/34.58  (step @p665 :rule cong :premises (@p664) :args (@t421))
% 33.95/34.58  (step @p666 :rule quant-merge-prenex :args ((= (forall @t9 @t423) @t421)))
% 33.95/34.58  (step @p667 :rule alpha_equiv :args (@t424 (@list @t416) @t144))
% 33.95/34.58  (step @p668 :rule nary_cong :premises (@p112 @p667) :args (@t425))
% 33.95/34.58  (step @p669 :rule quant-miniscope-or :args ((= @t423 @t425)))
% 33.95/34.58  (step @p670 :rule trans :premises (@p669 @p668))
% 33.95/34.58  (step @p671 :rule symm :premises (@p670))
% 33.95/34.58  (step @p672 :rule cong :premises (@p671) :args ((forall @t9 (or @t135 @t426))))
% 33.95/34.58  (step @p673 :rule trans :premises (@p672 @p666))
% 33.95/34.58  (step @p674 :rule trans :premises (@p673 @p665))
% 33.95/34.58  (step @p675 :rule bool-impl-elim :args (@t17 @t426))
% 33.95/34.58  (step @p676 :rule cong :premises (@p675) :args ((forall @t9 (=> @t17 @t426))))
% 33.95/34.58  (step @p677 :rule trans :premises (@p676 @p674))
% 33.95/34.58  (step @p678 :rule bool-impl-elim :args (@t6 @t93))
% 33.95/34.58  (step @p679 :rule cong :premises (@p678) :args (@t94))
% 33.95/34.58  (step @p680 :rule cong :premises (@p134 @p679) :args (@t95))
% 33.95/34.58  (step @p681 :rule cong :premises (@p680) :args (@t96))
% 33.95/34.58  (step @p682 :rule trans :premises (@p681 @p677))
% 33.95/34.58  (step @p683 :rule eq_resolve :premises (@p81 @p682))
% 33.95/34.58  (step @p684 :rule instantiate :premises (@p683) :args ((@list @t414 @t170)))
% 33.95/34.58  (step @p685 :rule true_intro :premises (@p563))
% 33.95/34.58  (step @p686 :rule cong :premises (@p661) :args (@t427))
% 33.95/34.58  (step @p687 :rule trans :premises (@p686 @p685))
% 33.95/34.58  (step @p688 :rule true_elim :premises (@p687))
% 33.95/34.58  (step @p689 :rule cnf_or_pos :args (@t431))
% 33.95/34.58  (step @p690 :rule reordering :premises (@p689) :args ((or @t334 @t430 @t429 (not @t431))))
% 33.95/34.58  (step @p691 :rule chain_m_resolution :premises (@p690 @p473 @p688 @p684) :args (@t429 @t332 (@list @t203 @t427 @t431)))
% 33.95/34.58  (step @p692 :rule aci_norm :args ((= (or @t135 (or @t129 @t432)) @t433)))
% 33.95/34.58  (step @p693 :rule refl :args (@t432))
% 33.95/34.58  (step @p694 :rule nary_cong :premises (@p179 @p693) :args ((or @t201 @t432)))
% 33.95/34.58  (step @p695 :rule bool-impl-elim :args (@t151 @t432))
% 33.95/34.58  (step @p696 :rule trans :premises (@p695 @p694))
% 33.95/34.58  (step @p697 :rule nary_cong :premises (@p112 @p696) :args ((or @t135 @t434)))
% 33.95/34.58  (step @p698 :rule trans :premises (@p697 @p692))
% 33.95/34.58  (step @p699 :rule bool-impl-elim :args (@t17 @t434))
% 33.95/34.58  (step @p700 :rule trans :premises (@p699 @p698))
% 33.95/34.58  (step @p701 :rule cong :premises (@p700) :args ((forall @t9 (=> @t17 @t434))))
% 33.95/34.58  (step @p702 :rule eq-symm :args (@t88 @t2))
% 33.95/34.58  (step @p703 :rule cong :premises (@p189 @p702) :args (@t89))
% 33.95/34.58  (step @p704 :rule cong :premises (@p134 @p703) :args (@t90))
% 33.95/34.58  (step @p705 :rule cong :premises (@p704) :args (@t91))
% 33.95/34.58  (step @p706 :rule trans :premises (@p705 @p701))
% 33.95/34.58  (step @p707 :rule eq_resolve :premises (@p78 @p706))
% 33.95/34.58  (step @p708 :rule refl :args (@t435))
% 33.95/34.58  (step @p709 :rule nary_cong :premises (@p197 @p196 @p708) :args (@t436))
% 33.95/34.58  (step @p710 :rule refl :args (@t437))
% 33.95/34.58  (step @p711 :rule cong :premises (@p710 @p709) :args ((=> @t437 @t436)))
% 33.95/34.58  (assume-push @p773 @t437)
% 33.95/34.58  (step @p713 :rule instantiate :premises (@p707) :args (@t209))
% 33.95/34.58  (step-pop @p774 :rule scope :premises (@p713))
% 33.95/34.58  (step @p714 :rule process_scope :premises (@p774) :args (@t436))
% 33.95/34.58  (step @p716 :rule eq_resolve :premises (@p714 @p711))
% 33.95/34.58  (step @p717 :rule implies_elim :premises (@p716))
% 33.95/34.58  (step @p718 :rule chain_m_resolution :premises (@p717 @p707) :args (@t438 @t186 (@list @t437)))
% 33.95/34.58  (step @p719 :rule cnf_or_pos :args (@t438))
% 33.95/34.58  (step @p720 :rule reordering :premises (@p719) :args ((or @t205 @t210 @t435 (not @t438))))
% 33.95/34.58  (step @p721 :rule chain_m_resolution :premises (@p720 @p458 @p470 @p718) :args (@t435 @t333 (@list @t204 @t210 @t438)))
% 33.95/34.58  (step @p722 :rule trans :premises (@p721 @p691 @p663))
% 33.95/34.58  (step @p723 :rule cnf_or_pos :args (@t399))
% 33.95/34.58  (step @p724 :rule reordering :premises (@p723) :args ((or @t334 @t180 @t398 @t397 (not @t399))))
% 33.95/34.58  (step @p725 :rule chain_m_resolution :premises (@p724 @p473 @p563 @p722 @p617) :args (@t398 (@list false false false false) (@list @t203 @t179 @t396 @t399)))
% 33.95/34.58  (step @p726 :rule cong :premises (@p438 @p430) :args (@t439))
% 33.95/34.58  (step @p727 :rule nary_cong :premises (@p439 @p231 @p726) :args (@t440))
% 33.95/34.58  (step @p728 :rule cong :premises (@p233 @p727) :args ((=> @t230 @t440)))
% 33.95/34.58  (assume-push @p775 @t230)
% 33.95/34.58  (step @p730 :rule instantiate :premises (@p227) :args ((@list @t310 tptp.nil)))
% 33.95/34.58  (step-pop @p776 :rule scope :premises (@p730))
% 33.95/34.58  (step @p731 :rule process_scope :premises (@p776) :args (@t440))
% 33.95/34.58  (step @p733 :rule eq_resolve :premises (@p731 @p728))
% 33.95/34.58  (step @p734 :rule implies_elim :premises (@p733))
% 33.95/34.58  (step @p735 :rule chain_m_resolution :premises (@p734 @p227) :args (@t442 @t186 @t234))
% 33.95/34.58  (step @p736 :rule bool-double-not-elim :args (@t318))
% 33.95/34.58  (step @p737 :rule nary_cong :premises (@p453 @p736) :args ((or @t320 (not @t319))))
% 33.95/34.58  (step @p738 :rule cnf_or_neg :args (@t320 0))
% 33.95/34.58  (step @p739 :rule eq_resolve :premises (@p738 @p737))
% 33.95/34.58  (step @p740 :rule reordering :premises (@p739) :args ((or @t318 @t320)))
% 33.95/34.58  (step @p741 :rule chain_m_resolution :premises (@p740 @p451) :args (@t318 @t330 @t331))
% 33.95/34.58  (step @p742 :rule cnf_or_pos :args (@t442))
% 33.95/34.58  (step @p743 :rule reordering :premises (@p742) :args ((or @t228 @t319 @t441 (not @t442))))
% 33.95/34.58  (step @p744 :rule chain_m_resolution :premises (@p743 @p17 @p741 @p735) :args (@t441 @t332 (@list @t45 @t318 @t442)))
% 33.95/34.58  (step @p745 :rule cnf_or_neg :args (@t320 1))
% 33.95/34.58  (step @p746 :rule chain_m_resolution :premises (@p745 @p451) :args ((not @t317) @t330 @t331))
% 33.95/34.58  (step @p747 :rule bool-double-not-elim :args (@t311))
% 33.95/34.58  (step @p748 :rule refl :args (@t443))
% 33.95/34.58  (step @p749 :rule nary_cong :premises (@p748 @p438 @p747) :args ((or @t443 @t317 (not @t312))))
% 33.95/34.58  (step @p750 :rule cnf_equiv_pos2 :args (@t441))
% 33.95/34.58  (step @p751 :rule eq_resolve :premises (@p750 @p749))
% 33.95/34.58  (step @p752 :rule reordering :premises (@p751) :args ((or @t317 @t311 @t443)))
% 33.95/34.58  (step @p753 :rule chain_m_resolution :premises (@p752 @p746 @p744) :args (@t311 @t392 (@list @t317 @t441)))
% 33.95/34.58  (step @p754 :rule trans :premises (@p753 @p725))
% 33.95/34.58  (step @p755 :rule true_intro :premises (@p754))
% 33.95/34.58  (step @p756 :rule symm :premises (@p755))
% 33.95/34.58  (step @p757 :rule trans :premises (@p756 @p597))
% 33.95/34.58  (step @p758 false :rule eq_resolve :premises (@p757 @p98))
% 33.95/34.58  )
% 33.95/34.58  % SZS output end Proof
% 33.95/34.58  % cvc5 exiting
%------------------------------------------------------------------------------