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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWC309+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 : n028.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 08:58:49 AM UTC 2026

% Result   : Theorem 72.64s 72.87s
% Output   : Proof 72.64s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC309+1 : TPTP v9.2.1. Released v2.4.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.35  % Computer : n028.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Tue Jun  2 19:40:35 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.28/0.53  %----Proving TF0_NAR, FOF, or CNF
% 72.64/72.87  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 72.64/72.87  --- Run --no-e-matching --full-saturate-quant at 6...
% 72.64/72.87  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 72.64/72.87  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 72.64/72.87  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 72.64/72.87  --- Run --trigger-sel=max --full-saturate-quant at 15...
% 72.64/72.87  % SZS status Theorem
% 72.64/72.87  % SZS output start Proof
% 72.64/72.87  (
% 72.64/72.87  (declare-sort $$unsorted 0)
% 72.64/72.87  (declare-const tptp.tl (-> $$unsorted $$unsorted))
% 72.64/72.87  (declare-const tptp.hd (-> $$unsorted $$unsorted))
% 72.64/72.87  (declare-const tptp.duplicatefreeP (-> $$unsorted Bool))
% 72.64/72.87  (declare-const tptp.strictorderedP (-> $$unsorted Bool))
% 72.64/72.87  (declare-const tptp.geq (-> $$unsorted $$unsorted Bool))
% 72.64/72.87  (declare-const tptp.strictorderP (-> $$unsorted Bool))
% 72.64/72.87  (declare-const tptp.equalelemsP (-> $$unsorted Bool))
% 72.64/72.87  (declare-const tptp.totalorderP (-> $$unsorted Bool))
% 72.64/72.87  (declare-const tptp.neq (-> $$unsorted $$unsorted Bool))
% 72.64/72.87  (declare-const tptp.totalorderedP (-> $$unsorted Bool))
% 72.64/72.87  (declare-const tptp.singletonP (-> $$unsorted Bool))
% 72.64/72.87  (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted))
% 72.64/72.87  (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted))
% 72.64/72.87  (declare-const tptp.nil $$unsorted)
% 72.64/72.87  (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool))
% 72.64/72.87  (declare-const tptp.lt (-> $$unsorted $$unsorted Bool))
% 72.64/72.87  (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool))
% 72.64/72.87  (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool))
% 72.64/72.87  (declare-const tptp.gt (-> $$unsorted $$unsorted Bool))
% 72.64/72.87  (declare-const tptp.ssList (-> $$unsorted Bool))
% 72.64/72.87  (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool))
% 72.64/72.87  (declare-const tptp.cyclefreeP (-> $$unsorted Bool))
% 72.64/72.87  (declare-const tptp.ssItem (-> $$unsorted Bool))
% 72.64/72.87  (declare-const tptp.leq (-> $$unsorted $$unsorted Bool))
% 72.64/72.87  (define @t1 () (@var "V" $$unsorted))
% 72.64/72.87  (define @t2 () (@var "U" $$unsorted))
% 72.64/72.87  (define @t3 () (= @t2 @t1))
% 72.64/72.87  (define @t4 () (not @t3))
% 72.64/72.87  (define @t5 () (= (tptp.neq @t2 @t1) @t4))
% 72.64/72.87  (define @t6 () (tptp.ssItem @t1))
% 72.64/72.87  (define @t7 () (@list @t1))
% 72.64/72.87  (define @t8 () (tptp.ssItem @t2))
% 72.64/72.87  (define @t9 () (@list @t2))
% 72.64/72.87  (define @t10 () (@var "X" $$unsorted))
% 72.64/72.87  (define @t11 () (tptp.cons @t1 @t10))
% 72.64/72.87  (define @t12 () (@var "W" $$unsorted))
% 72.64/72.87  (define @t13 () (tptp.ssList @t10))
% 72.64/72.87  (define @t14 () (@list @t10))
% 72.64/72.87  (define @t15 () (tptp.ssList @t12))
% 72.64/72.87  (define @t16 () (@list @t12))
% 72.64/72.87  (define @t17 () (tptp.ssList @t2))
% 72.64/72.87  (define @t18 () (tptp.cons @t1 tptp.nil))
% 72.64/72.87  (define @t19 () (tptp.app @t1 @t12))
% 72.64/72.87  (define @t20 () (tptp.frontsegP @t2 @t1))
% 72.64/72.87  (define @t21 () (tptp.ssList @t1))
% 72.64/72.87  (define @t22 () (tptp.app @t12 @t1))
% 72.64/72.87  (define @t23 () (tptp.rearsegP @t2 @t1))
% 72.64/72.87  (define @t24 () (tptp.segmentP @t2 @t1))
% 72.64/72.87  (define @t25 () (tptp.leq @t12 @t1))
% 72.64/72.87  (define @t26 () (tptp.leq @t1 @t12))
% 72.64/72.87  (define @t27 () (@var "Z" $$unsorted))
% 72.64/72.87  (define @t28 () (@var "Y" $$unsorted))
% 72.64/72.87  (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2))
% 72.64/72.87  (define @t30 () (tptp.ssList @t27))
% 72.64/72.87  (define @t31 () (@list @t27))
% 72.64/72.87  (define @t32 () (tptp.ssList @t28))
% 72.64/72.87  (define @t33 () (@list @t28))
% 72.64/72.87  (define @t34 () (tptp.ssItem @t12))
% 72.64/72.87  (define @t35 () (tptp.lt @t1 @t12))
% 72.64/72.87  (define @t36 () (= @t1 @t12))
% 72.64/72.87  (define @t37 () (forall @t7 (=> @t21 @t5)))
% 72.64/72.87  (define @t38 () (=> @t17 @t37))
% 72.64/72.87  (define @t39 () (forall @t9 @t38))
% 72.64/72.87  (define @t40 () (tptp.cons @t1 @t2))
% 72.64/72.87  (define @t41 () (tptp.ssList tptp.nil))
% 72.64/72.87  (define @t42 () (= @t1 @t2))
% 72.64/72.87  (define @t43 () (tptp.cons @t12 @t1))
% 72.64/72.87  (define @t44 () (and @t34 (= @t43 @t2)))
% 72.64/72.87  (define @t45 () (exists @t16 @t44))
% 72.64/72.87  (define @t46 () (and @t21 @t45))
% 72.64/72.87  (define @t47 () (exists @t7 @t46))
% 72.64/72.87  (define @t48 () (= tptp.nil @t2))
% 72.64/72.87  (define @t49 () (or @t48 @t47))
% 72.64/72.87  (define @t50 () (=> @t17 @t49))
% 72.64/72.87  (define @t51 () (forall @t9 @t50))
% 72.64/72.87  (define @t52 () (tptp.hd @t2))
% 72.64/72.87  (define @t53 () (tptp.ssItem @t52))
% 72.64/72.87  (define @t54 () (not @t48))
% 72.64/72.87  (define @t55 () (=> @t54 @t53))
% 72.64/72.87  (define @t56 () (=> @t17 @t55))
% 72.64/72.87  (define @t57 () (forall @t9 @t56))
% 72.64/72.87  (define @t58 () (tptp.tl @t2))
% 72.64/72.87  (define @t59 () (tptp.tl @t40))
% 72.64/72.87  (define @t60 () (=> @t6 (= @t59 @t2)))
% 72.64/72.87  (define @t61 () (forall @t7 @t60))
% 72.64/72.87  (define @t62 () (=> @t17 @t61))
% 72.64/72.87  (define @t63 () (forall @t9 @t62))
% 72.64/72.87  (define @t64 () (tptp.app @t2 @t1))
% 72.64/72.87  (define @t65 () (tptp.app @t1 @t2))
% 72.64/72.87  (define @t66 () (tptp.leq @t1 @t2))
% 72.64/72.87  (define @t67 () (tptp.leq @t2 @t1))
% 72.64/72.87  (define @t68 () (tptp.geq @t2 @t1))
% 72.64/72.87  (define @t69 () (tptp.lt @t1 @t2))
% 72.64/72.87  (define @t70 () (tptp.lt @t2 @t1))
% 72.64/72.87  (define @t71 () (tptp.lt @t2 @t12))
% 72.64/72.87  (define @t72 () (tptp.gt @t2 @t1))
% 72.64/72.87  (define @t73 () (tptp.memberP @t12 @t2))
% 72.64/72.87  (define @t74 () (tptp.app @t12 @t2))
% 72.64/72.87  (define @t75 () (tptp.cons @t2 tptp.nil))
% 72.64/72.87  (define @t76 () (tptp.hd @t1))
% 72.64/72.87  (define @t77 () (= tptp.nil @t1))
% 72.64/72.87  (define @t78 () (not @t77))
% 72.64/72.87  (define @t79 () (tptp.cons @t2 @t1))
% 72.64/72.87  (define @t80 () (tptp.cons @t52 @t58))
% 72.64/72.87  (define @t81 () (=> @t54 (= @t80 @t2)))
% 72.64/72.87  (define @t82 () (=> @t17 @t81))
% 72.64/72.87  (define @t83 () (forall @t9 @t82))
% 72.64/72.87  (define @t84 () (= @t12 @t2))
% 72.64/72.87  (define @t85 () (= @t40 (tptp.app @t18 @t2)))
% 72.64/72.87  (define @t86 () (forall @t7 (=> @t6 @t85)))
% 72.64/72.87  (define @t87 () (=> @t17 @t86))
% 72.64/72.87  (define @t88 () (forall @t9 @t87))
% 72.64/72.87  (define @t89 () (not (= tptp.nil @t12)))
% 72.64/72.87  (define @t90 () (and @t89 (= tptp.nil @t10)))
% 72.64/72.87  (define @t91 () (@var "X2" $$unsorted))
% 72.64/72.87  (define @t92 () (@var "X1" $$unsorted))
% 72.64/72.87  (define @t93 () (tptp.cons @t92 tptp.nil))
% 72.64/72.87  (define @t94 () (tptp.app @t93 @t91))
% 72.64/72.87  (define @t95 () (tptp.app @t91 @t93))
% 72.64/72.87  (define @t96 () (not (= @t95 @t12)))
% 72.64/72.87  (define @t97 () (tptp.ssList @t91))
% 72.64/72.87  (define @t98 () (and @t97 @t96 (= @t94 @t10)))
% 72.64/72.87  (define @t99 () (@list @t91))
% 72.64/72.87  (define @t100 () (exists @t99 @t98))
% 72.64/72.87  (define @t101 () (tptp.ssItem @t92))
% 72.64/72.87  (define @t102 () (and @t101 @t100))
% 72.64/72.87  (define @t103 () (@list @t92))
% 72.64/72.87  (define @t104 () (exists @t103 @t102))
% 72.64/72.87  (define @t105 () (tptp.cons @t28 tptp.nil))
% 72.64/72.87  (define @t106 () (tptp.app @t27 @t105))
% 72.64/72.87  (define @t107 () (tptp.app @t105 @t27))
% 72.64/72.87  (define @t108 () (and @t30 (= @t107 @t1) (= @t106 @t2)))
% 72.64/72.87  (define @t109 () (exists @t31 @t108))
% 72.64/72.87  (define @t110 () (tptp.ssItem @t28))
% 72.64/72.87  (define @t111 () (and @t110 @t109))
% 72.64/72.87  (define @t112 () (exists @t33 @t111))
% 72.64/72.87  (define @t113 () (not (tptp.neq @t1 tptp.nil)))
% 72.64/72.87  (define @t114 () (not (= @t2 @t12)))
% 72.64/72.87  (define @t115 () (not (= @t1 @t10)))
% 72.64/72.87  (define @t116 () (or @t115 @t114 @t113 @t112 @t104 @t90))
% 72.64/72.87  (define @t117 () (=> @t13 @t116))
% 72.64/72.87  (define @t118 () (forall @t14 @t117))
% 72.64/72.87  (define @t119 () (=> @t15 @t118))
% 72.64/72.87  (define @t120 () (forall @t16 @t119))
% 72.64/72.87  (define @t121 () (=> @t21 @t120))
% 72.64/72.87  (define @t122 () (forall @t7 @t121))
% 72.64/72.87  (define @t123 () (=> @t17 @t122))
% 72.64/72.87  (define @t124 () (forall @t9 @t123))
% 72.64/72.87  (define @t125 () (not @t124))
% 72.64/72.87  (define @t126 () (= @t2 tptp.nil))
% 72.64/72.87  (define @t127 () (not @t17))
% 72.64/72.87  (define @t128 () (or @t127 @t126 @t53))
% 72.64/72.87  (define @t129 () (not @t126))
% 72.64/72.87  (define @t130 () (not @t129))
% 72.64/72.87  (define @t131 () (=> @t129 @t53))
% 72.64/72.87  (define @t132 () (@var "BOUND_VARIABLE_11068" $$unsorted))
% 72.64/72.87  (define @t133 () (@var "BOUND_VARIABLE_11000" $$unsorted))
% 72.64/72.87  (define @t134 () (tptp.app @t93 @t133))
% 72.64/72.87  (define @t135 () (tptp.app @t133 @t93))
% 72.64/72.87  (define @t136 () (= @t2 @t135))
% 72.64/72.87  (define @t137 () (not (tptp.ssList @t133)))
% 72.64/72.87  (define @t138 () (not @t101))
% 72.64/72.87  (define @t139 () (@list @t92 @t133))
% 72.64/72.87  (define @t140 () (@var "BOUND_VARIABLE_10962" $$unsorted))
% 72.64/72.87  (define @t141 () (tptp.app @t140 @t105))
% 72.64/72.87  (define @t142 () (not (= @t2 @t141)))
% 72.64/72.87  (define @t143 () (tptp.app @t105 @t140))
% 72.64/72.87  (define @t144 () (not (tptp.ssList @t140)))
% 72.64/72.87  (define @t145 () (not @t110))
% 72.64/72.87  (define @t146 () (@list @t28 @t140))
% 72.64/72.87  (define @t147 () (not (tptp.neq @t132 tptp.nil)))
% 72.64/72.87  (define @t148 () (not (tptp.ssList @t132)))
% 72.64/72.87  (define @t149 () (@list @t2 @t132))
% 72.64/72.87  (define @t150 () (forall @t149 (or @t127 @t148 @t147 (not (forall @t146 (or @t145 @t144 (not (= @t143 @t132)) @t142))) (not (forall @t139 (or @t138 @t137 @t136 (not (= @t134 @t132))))) (and @t129 (= tptp.nil @t132)))))
% 72.64/72.87  (define @t151 () (@quantifiers_skolemize @t150 1))
% 72.64/72.87  (define @t152 () (tptp.hd @t151))
% 72.64/72.87  (define @t153 () (tptp.ssItem @t152))
% 72.64/72.87  (define @t154 () (tptp.ssList @t151))
% 72.64/72.87  (define @t155 () (not @t154))
% 72.64/72.87  (define @t156 () (= @t151 tptp.nil))
% 72.64/72.87  (define @t157 () (or @t155 @t156 @t153))
% 72.64/72.87  (define @t158 () (forall @t9 @t128))
% 72.64/72.87  (define @t159 () (@list @t151))
% 72.64/72.87  (define @t160 () (= tptp.nil @t151))
% 72.64/72.87  (define @t161 () (or @t155 @t160 @t153))
% 72.64/72.87  (define @t162 () (@list false))
% 72.64/72.87  (define @t163 () (@var "BOUND_VARIABLE_9119" $$unsorted))
% 72.64/72.87  (define @t164 () (= (tptp.neq @t2 @t163) (not (= @t2 @t163))))
% 72.64/72.87  (define @t165 () (not (tptp.ssList @t163)))
% 72.64/72.87  (define @t166 () (or @t127 @t165 @t164))
% 72.64/72.87  (define @t167 () (or @t165 @t164))
% 72.64/72.87  (define @t168 () (or @t127 @t167))
% 72.64/72.87  (define @t169 () (@list @t2 @t163))
% 72.64/72.87  (define @t170 () (forall @t169 @t168))
% 72.64/72.87  (define @t171 () (@list @t163))
% 72.64/72.87  (define @t172 () (forall @t171 @t168))
% 72.64/72.87  (define @t173 () (forall @t171 @t167))
% 72.64/72.87  (define @t174 () (@list @t1))
% 72.64/72.87  (define @t175 () (or @t127 @t173))
% 72.64/72.87  (define @t176 () (not @t21))
% 72.64/72.87  (define @t177 () (forall @t7 (or @t176 @t5)))
% 72.64/72.87  (define @t178 () (not @t156))
% 72.64/72.87  (define @t179 () (tptp.neq @t151 tptp.nil))
% 72.64/72.87  (define @t180 () (= @t179 @t178))
% 72.64/72.87  (define @t181 () (not @t41))
% 72.64/72.87  (define @t182 () (or @t155 @t181 @t180))
% 72.64/72.87  (define @t183 () (forall @t169 @t166))
% 72.64/72.87  (define @t184 () (not @t160))
% 72.64/72.87  (define @t185 () (= @t179 @t184))
% 72.64/72.87  (define @t186 () (or @t155 @t181 @t185))
% 72.64/72.87  (define @t187 () (and @t129 (= @t132 tptp.nil)))
% 72.64/72.87  (define @t188 () (not (= @t132 @t134)))
% 72.64/72.87  (define @t189 () (or @t138 @t137 @t136 @t188))
% 72.64/72.87  (define @t190 () (forall @t139 @t189))
% 72.64/72.87  (define @t191 () (not @t190))
% 72.64/72.87  (define @t192 () (not (= @t132 @t143)))
% 72.64/72.87  (define @t193 () (or @t145 @t144 @t192 @t142))
% 72.64/72.87  (define @t194 () (forall @t146 @t193))
% 72.64/72.87  (define @t195 () (not @t194))
% 72.64/72.87  (define @t196 () (or @t127 @t148 @t147 @t195 @t191 @t187))
% 72.64/72.87  (define @t197 () (or @t148 @t147 @t195 @t191 @t187))
% 72.64/72.87  (define @t198 () (or @t127 @t197))
% 72.64/72.87  (define @t199 () (forall @t149 @t198))
% 72.64/72.87  (define @t200 () (@list @t132))
% 72.64/72.87  (define @t201 () (forall @t200 @t198))
% 72.64/72.87  (define @t202 () (forall @t200 @t197))
% 72.64/72.87  (define @t203 () (or @t127 @t202))
% 72.64/72.87  (define @t204 () (= @t1 tptp.nil))
% 72.64/72.87  (define @t205 () (and @t129 @t204))
% 72.64/72.87  (define @t206 () (not (= @t1 @t134)))
% 72.64/72.87  (define @t207 () (not (forall @t139 (or @t138 @t137 @t136 @t206))))
% 72.64/72.87  (define @t208 () (not (= @t1 @t143)))
% 72.64/72.87  (define @t209 () (or @t145 @t144 @t208 @t142))
% 72.64/72.87  (define @t210 () (not (forall @t146 @t209)))
% 72.64/72.87  (define @t211 () (or @t176 @t113 @t210 @t207 @t205))
% 72.64/72.87  (define @t212 () (or @t127 (forall @t7 @t211)))
% 72.64/72.87  (define @t213 () (or @t127 @t211))
% 72.64/72.87  (define @t214 () (or @t176 @t113 @t210 @t127 @t207 @t205))
% 72.64/72.87  (define @t215 () (or @t113 @t210 @t176 @t127 @t207 @t205))
% 72.64/72.87  (define @t216 () (or @t127 @t207 @t205))
% 72.64/72.87  (define @t217 () (not (= @t2 @t2)))
% 72.64/72.87  (define @t218 () (or @t127 @t217 @t207 @t205))
% 72.64/72.87  (define @t219 () (not (= @t12 tptp.nil)))
% 72.64/72.87  (define @t220 () (and @t219 @t204))
% 72.64/72.87  (define @t221 () (= @t12 @t135))
% 72.64/72.87  (define @t222 () (not (forall @t139 (or @t138 @t137 @t221 @t206))))
% 72.64/72.87  (define @t223 () (not @t15))
% 72.64/72.87  (define @t224 () (or @t114 @t223 @t114 @t222 @t220))
% 72.64/72.87  (define @t225 () (or @t223 @t114 @t222 @t220))
% 72.64/72.87  (define @t226 () (forall @t16 @t225))
% 72.64/72.87  (define @t227 () (or @t113 @t210 @t176 @t226))
% 72.64/72.87  (define @t228 () (or @t113 @t210 @t176 @t225))
% 72.64/72.87  (define @t229 () (or @t223 @t114 @t113 @t210 @t176 @t222 @t220))
% 72.64/72.87  (define @t230 () (or @t114 @t113 @t210 @t176 @t222 @t220))
% 72.64/72.87  (define @t231 () (or @t176 @t222 @t220))
% 72.64/72.87  (define @t232 () (not (= @t1 @t1)))
% 72.64/72.87  (define @t233 () (or @t176 @t232 @t222 @t220))
% 72.64/72.87  (define @t234 () (and @t219 (= @t10 tptp.nil)))
% 72.64/72.87  (define @t235 () (not (= @t10 @t134)))
% 72.64/72.87  (define @t236 () (or @t138 @t137 @t221 @t235))
% 72.64/72.87  (define @t237 () (not (forall @t139 @t236)))
% 72.64/72.87  (define @t238 () (not @t13))
% 72.64/72.87  (define @t239 () (or @t115 @t238 @t115 @t237 @t234))
% 72.64/72.87  (define @t240 () (or @t238 @t115 @t237 @t234))
% 72.64/72.87  (define @t241 () (forall @t14 @t240))
% 72.64/72.87  (define @t242 () (or @t114 @t113 @t210 @t241))
% 72.64/72.87  (define @t243 () (or @t114 @t113 @t210 @t240))
% 72.64/72.87  (define @t244 () (or @t238 @t115 @t114 @t113 @t210 @t237 @t234))
% 72.64/72.87  (define @t245 () (or @t115 @t114 @t113 @t210 @t237 @t234))
% 72.64/72.87  (define @t246 () (or @t137 @t221 @t235))
% 72.64/72.87  (define @t247 () (or @t138 @t246))
% 72.64/72.87  (define @t248 () (forall @t139 @t247))
% 72.64/72.87  (define @t249 () (@list @t133))
% 72.64/72.87  (define @t250 () (forall @t249 @t247))
% 72.64/72.87  (define @t251 () (forall @t249 @t246))
% 72.64/72.87  (define @t252 () (or @t138 @t251))
% 72.64/72.87  (define @t253 () (= @t10 @t94))
% 72.64/72.87  (define @t254 () (not @t253))
% 72.64/72.87  (define @t255 () (= @t12 @t95))
% 72.64/72.87  (define @t256 () (not @t97))
% 72.64/72.87  (define @t257 () (forall @t99 (or @t256 @t255 @t254)))
% 72.64/72.87  (define @t258 () (not @t257))
% 72.64/72.87  (define @t259 () (and @t101 @t258))
% 72.64/72.87  (define @t260 () (forall @t103 (not @t259)))
% 72.64/72.87  (define @t261 () (not @t260))
% 72.64/72.87  (define @t262 () (not @t255))
% 72.64/72.87  (define @t263 () (not @t262))
% 72.64/72.87  (define @t264 () (or @t256 @t263 @t254))
% 72.64/72.87  (define @t265 () (and @t97 @t262 @t253))
% 72.64/72.87  (define @t266 () (forall @t99 (not @t265)))
% 72.64/72.87  (define @t267 () (not @t266))
% 72.64/72.87  (define @t268 () (or @t144 @t208 @t142))
% 72.64/72.87  (define @t269 () (or @t145 @t268))
% 72.64/72.87  (define @t270 () (forall @t146 @t269))
% 72.64/72.87  (define @t271 () (@list @t140))
% 72.64/72.87  (define @t272 () (forall @t271 @t269))
% 72.64/72.87  (define @t273 () (forall @t271 @t268))
% 72.64/72.87  (define @t274 () (or @t145 @t273))
% 72.64/72.87  (define @t275 () (= @t2 @t106))
% 72.64/72.87  (define @t276 () (not @t275))
% 72.64/72.87  (define @t277 () (= @t1 @t107))
% 72.64/72.87  (define @t278 () (not @t277))
% 72.64/72.87  (define @t279 () (not @t30))
% 72.64/72.87  (define @t280 () (or @t279 @t278 @t276))
% 72.64/72.87  (define @t281 () (forall @t31 @t280))
% 72.64/72.87  (define @t282 () (not @t281))
% 72.64/72.87  (define @t283 () (and @t110 @t282))
% 72.64/72.87  (define @t284 () (forall @t33 (not @t283)))
% 72.64/72.87  (define @t285 () (not @t284))
% 72.64/72.87  (define @t286 () (and @t30 @t277 @t275))
% 72.64/72.87  (define @t287 () (forall @t31 (not @t286)))
% 72.64/72.87  (define @t288 () (not @t287))
% 72.64/72.87  (define @t289 () (@quantifiers_skolemize @t150 0))
% 72.64/72.87  (define @t290 () (not (= @t134 @t151)))
% 72.64/72.87  (define @t291 () (forall @t139 (or @t138 @t137 (= @t135 @t289) @t290)))
% 72.64/72.87  (define @t292 () (not @t291))
% 72.64/72.87  (define @t293 () (not (= @t143 @t151)))
% 72.64/72.87  (define @t294 () (forall @t146 (or @t145 @t144 @t293 (not (= @t141 @t289)))))
% 72.64/72.87  (define @t295 () (not @t294))
% 72.64/72.87  (define @t296 () (not @t179))
% 72.64/72.87  (define @t297 () (not (tptp.ssList @t289)))
% 72.64/72.87  (define @t298 () (or @t297 @t155 @t296 @t295 @t292 (and (not (= tptp.nil @t289)) @t160)))
% 72.64/72.87  (define @t299 () (not @t298))
% 72.64/72.87  (define @t300 () (not @t150))
% 72.64/72.87  (define @t301 () (not (= @t289 tptp.nil)))
% 72.64/72.87  (define @t302 () (and @t301 @t160))
% 72.64/72.87  (define @t303 () (or @t138 @t137 (= @t289 @t135) @t290))
% 72.64/72.87  (define @t304 () (forall @t139 @t303))
% 72.64/72.87  (define @t305 () (not @t304))
% 72.64/72.87  (define @t306 () (not (= @t289 @t141)))
% 72.64/72.87  (define @t307 () (or @t145 @t144 @t293 @t306))
% 72.64/72.87  (define @t308 () (forall @t146 @t307))
% 72.64/72.87  (define @t309 () (not @t308))
% 72.64/72.87  (define @t310 () (or @t297 @t155 @t296 @t309 @t305 @t302))
% 72.64/72.87  (define @t311 () (not @t310))
% 72.64/72.87  (define @t312 () (@list true))
% 72.64/72.87  (define @t313 () (@list @t298))
% 72.64/72.87  (define @t314 () (@list false false false))
% 72.64/72.87  (define @t315 () (@list false true false))
% 72.64/72.87  (define @t316 () (@var "BOUND_VARIABLE_9277" $$unsorted))
% 72.64/72.87  (define @t317 () (tptp.cons @t316 @t1))
% 72.64/72.87  (define @t318 () (not (= @t2 @t317)))
% 72.64/72.87  (define @t319 () (not (tptp.ssItem @t316)))
% 72.64/72.87  (define @t320 () (or @t176 @t319 @t318))
% 72.64/72.87  (define @t321 () (@list @t1 @t316))
% 72.64/72.87  (define @t322 () (not (forall @t321 @t320)))
% 72.64/72.87  (define @t323 () (or @t127 @t126 @t322))
% 72.64/72.87  (define @t324 () (or @t126 @t322))
% 72.64/72.87  (define @t325 () (or @t319 @t318))
% 72.64/72.87  (define @t326 () (or @t176 @t325))
% 72.64/72.87  (define @t327 () (forall @t321 @t326))
% 72.64/72.87  (define @t328 () (@list @t316))
% 72.64/72.87  (define @t329 () (forall @t328 @t326))
% 72.64/72.87  (define @t330 () (forall @t328 @t325))
% 72.64/72.87  (define @t331 () (or @t176 @t330))
% 72.64/72.87  (define @t332 () (= @t2 @t43))
% 72.64/72.87  (define @t333 () (forall @t16 (or (not @t34) (not @t332))))
% 72.64/72.87  (define @t334 () (not @t333))
% 72.64/72.87  (define @t335 () (and @t21 @t334))
% 72.64/72.87  (define @t336 () (forall @t7 (not @t335)))
% 72.64/72.87  (define @t337 () (not @t336))
% 72.64/72.87  (define @t338 () (and @t34 @t332))
% 72.64/72.87  (define @t339 () (forall @t16 (not @t338)))
% 72.64/72.87  (define @t340 () (not @t339))
% 72.64/72.87  (define @t341 () (not (= @t151 @t317)))
% 72.64/72.87  (define @t342 () (or @t176 @t319 @t341))
% 72.64/72.87  (define @t343 () (forall @t321 @t342))
% 72.64/72.87  (define @t344 () (not @t343))
% 72.64/72.87  (define @t345 () (or @t155 @t156 @t344))
% 72.64/72.87  (define @t346 () (forall @t9 @t323))
% 72.64/72.87  (define @t347 () (forall @t321 (or @t176 @t319 (not (= @t317 @t151)))))
% 72.64/72.87  (define @t348 () (not @t347))
% 72.64/72.87  (define @t349 () (or @t155 @t160 @t348))
% 72.64/72.87  (define @t350 () (@quantifiers_skolemize @t347 0))
% 72.64/72.87  (define @t351 () (@quantifiers_skolemize @t347 1))
% 72.64/72.87  (define @t352 () (tptp.cons @t351 @t350))
% 72.64/72.87  (define @t353 () (= @t151 @t352))
% 72.64/72.87  (define @t354 () (not @t353))
% 72.64/72.87  (define @t355 () (tptp.ssItem @t351))
% 72.64/72.87  (define @t356 () (not @t355))
% 72.64/72.87  (define @t357 () (tptp.ssList @t350))
% 72.64/72.87  (define @t358 () (not @t357))
% 72.64/72.87  (define @t359 () (or @t358 @t356 @t354))
% 72.64/72.87  (define @t360 () (not @t359))
% 72.64/72.87  (define @t361 () (not (= @t352 @t151)))
% 72.64/72.87  (define @t362 () (or @t358 @t356 @t361))
% 72.64/72.87  (define @t363 () (not @t362))
% 72.64/72.87  (define @t364 () (@list @t359))
% 72.64/72.87  (define @t365 () (@var "BOUND_VARIABLE_9364" $$unsorted))
% 72.64/72.87  (define @t366 () (= @t2 (tptp.tl (tptp.cons @t365 @t2))))
% 72.64/72.87  (define @t367 () (not (tptp.ssItem @t365)))
% 72.64/72.87  (define @t368 () (or @t367 @t366))
% 72.64/72.87  (define @t369 () (or @t127 @t368))
% 72.64/72.87  (define @t370 () (forall (@list @t2 @t365) @t369))
% 72.64/72.87  (define @t371 () (@list @t365))
% 72.64/72.87  (define @t372 () (forall @t371 @t369))
% 72.64/72.87  (define @t373 () (forall @t371 @t368))
% 72.64/72.87  (define @t374 () (or @t127 @t373))
% 72.64/72.87  (define @t375 () (= @t2 @t59))
% 72.64/72.87  (define @t376 () (not @t6))
% 72.64/72.87  (define @t377 () (forall @t7 (or @t376 @t375)))
% 72.64/72.87  (define @t378 () (= @t350 (tptp.tl @t352)))
% 72.64/72.87  (define @t379 () (or @t358 @t356 @t378))
% 72.64/72.87  (define @t380 () (tptp.tl @t151))
% 72.64/72.87  (define @t381 () (tptp.ssList @t380))
% 72.64/72.87  (define @t382 () (tptp.cons @t152 tptp.nil))
% 72.64/72.87  (define @t383 () (tptp.app @t382 @t380))
% 72.64/72.87  (define @t384 () (not (= @t383 @t151)))
% 72.64/72.87  (define @t385 () (tptp.app @t380 @t382))
% 72.64/72.87  (define @t386 () (not @t381))
% 72.64/72.87  (define @t387 () (not @t153))
% 72.64/72.87  (define @t388 () (= @t385 @t289))
% 72.64/72.87  (define @t389 () (or @t387 @t386 @t388 @t384))
% 72.64/72.87  (define @t390 () (@list @t152 @t380))
% 72.64/72.87  (define @t391 () (= @t151 @t383))
% 72.64/72.87  (define @t392 () (not @t391))
% 72.64/72.87  (define @t393 () (= @t289 @t385))
% 72.64/72.87  (define @t394 () (or @t387 @t386 @t393 @t392))
% 72.64/72.87  (define @t395 () (@var "BOUND_VARIABLE_10543" $$unsorted))
% 72.64/72.87  (define @t396 () (= (tptp.cons @t395 @t2) (tptp.app (tptp.cons @t395 tptp.nil) @t2)))
% 72.64/72.87  (define @t397 () (not (tptp.ssItem @t395)))
% 72.64/72.87  (define @t398 () (or @t397 @t396))
% 72.64/72.87  (define @t399 () (or @t127 @t398))
% 72.64/72.87  (define @t400 () (forall (@list @t2 @t395) @t399))
% 72.64/72.87  (define @t401 () (@list @t395))
% 72.64/72.87  (define @t402 () (forall @t401 @t399))
% 72.64/72.87  (define @t403 () (forall @t401 @t398))
% 72.64/72.87  (define @t404 () (or @t127 @t403))
% 72.64/72.87  (define @t405 () (forall @t7 (or @t376 @t85)))
% 72.64/72.87  (define @t406 () (tptp.cons @t152 @t380))
% 72.64/72.87  (define @t407 () (= @t406 @t383))
% 72.64/72.87  (define @t408 () (or @t386 @t387 @t407))
% 72.64/72.87  (define @t409 () (= @t2 @t80))
% 72.64/72.87  (define @t410 () (or @t127 @t126 @t409))
% 72.64/72.87  (define @t411 () (=> @t129 @t409))
% 72.64/72.87  (define @t412 () (= @t151 @t406))
% 72.64/72.87  (define @t413 () (or @t155 @t156 @t412))
% 72.64/72.87  (define @t414 () (forall @t9 @t410))
% 72.64/72.87  (define @t415 () (or @t155 @t160 @t412))
% 72.64/72.87  (define @t416 () (not @t388))
% 72.64/72.87  (define @t417 () (or @t387 @t386 @t384 @t416))
% 72.64/72.87  (define @t418 () (not @t393))
% 72.64/72.87  (define @t419 () (or @t387 @t386 @t392 @t418))
% 72.64/72.87  (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5)))))
% 72.64/72.87  (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4)))))
% 72.64/72.87  (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)))))))))))
% 72.64/72.87  (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2)))))))
% 72.64/72.87  (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2)))))))))
% 72.64/72.87  (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2)))))))))
% 72.64/72.87  (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2)))))))))))
% 72.64/72.87  (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)))))))))))))))))
% 72.64/72.87  (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))))))))))))))))
% 72.64/72.87  (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)))))))))))))))))
% 72.64/72.87  (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)))))))))))))))
% 72.64/72.87  (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)))))))))))))))
% 72.64/72.87  (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))))))))))))))))
% 72.64/72.87  (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)))))))))))))
% 72.64/72.87  (assume @p15 @t39)
% 72.64/72.87  (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t40))))))
% 72.64/72.87  (assume @p17 @t41)
% 72.64/72.87  (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2)))))))
% 72.64/72.87  (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) @t42)))))))))))
% 72.64/72.87  (assume @p20 @t51)
% 72.64/72.87  (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40)))))))
% 72.64/72.87  (assume @p22 @t57)
% 72.64/72.87  (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1))))))
% 72.64/72.87  (assume @p24 (forall @t9 (=> @t17 (=> @t54 (tptp.ssList @t58)))))
% 72.64/72.87  (assume @p25 @t63)
% 72.64/72.87  (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t64))))))
% 72.64/72.87  (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t65) (tptp.app @t43 @t2)))))))))
% 72.64/72.87  (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2))))
% 72.64/72.87  (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t67 @t66) @t3))))))
% 72.64/72.87  (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t67 @t26) (tptp.leq @t2 @t12)))))))))
% 72.64/72.87  (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2))))
% 72.64/72.87  (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t68 @t66))))))
% 72.64/72.87  (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t70 (not @t69)))))))
% 72.64/72.87  (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t70 @t35) @t71))))))))
% 72.64/72.87  (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t72 @t69))))))
% 72.64/72.87  (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t73)))))))))
% 72.64/72.87  (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t73)))))))))
% 72.64/72.87  (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2)))))
% 72.64/72.87  (assume @p39 (not (tptp.singletonP tptp.nil)))
% 72.64/72.87  (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12)))))))))
% 72.64/72.87  (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3))))))
% 72.64/72.87  (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2))))
% 72.64/72.87  (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1)))))))))
% 72.64/72.87  (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))))))))))))
% 72.64/72.87  (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil))))
% 72.64/72.87  (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t48))))
% 72.64/72.87  (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12)))))))))
% 72.64/72.87  (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3))))))
% 72.64/72.87  (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2))))
% 72.64/72.87  (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t74 @t1)))))))))
% 72.64/72.87  (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil))))
% 72.64/72.87  (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t48))))
% 72.64/72.87  (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12)))))))))
% 72.64/72.87  (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3))))))
% 72.64/72.87  (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2))))
% 72.64/72.87  (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t74 @t10) @t1)))))))))))
% 72.64/72.87  (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil))))
% 72.64/72.87  (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t48))))
% 72.64/72.87  (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t75))))
% 72.64/72.87  (assume @p60 (tptp.cyclefreeP tptp.nil))
% 72.64/72.87  (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t75))))
% 72.64/72.87  (assume @p62 (tptp.totalorderP tptp.nil))
% 72.64/72.87  (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t75))))
% 72.64/72.87  (assume @p64 (tptp.strictorderP tptp.nil))
% 72.64/72.87  (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t75))))
% 72.64/72.87  (assume @p66 (tptp.totalorderedP tptp.nil))
% 72.64/72.87  (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t79) (or @t77 (and @t78 (tptp.totalorderedP @t1) (tptp.leq @t2 @t76)))))))))
% 72.64/72.87  (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t75))))
% 72.64/72.87  (assume @p69 (tptp.strictorderedP tptp.nil))
% 72.64/72.87  (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t79) (or @t77 (and @t78 (tptp.strictorderedP @t1) (tptp.lt @t2 @t76)))))))))
% 72.64/72.87  (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t75))))
% 72.64/72.87  (assume @p72 (tptp.duplicatefreeP tptp.nil))
% 72.64/72.87  (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t75))))
% 72.64/72.87  (assume @p74 (tptp.equalelemsP tptp.nil))
% 72.64/72.87  (assume @p75 (forall @t9 (=> @t17 (=> @t54 (exists @t7 (and @t6 (= @t52 @t1)))))))
% 72.64/72.87  (assume @p76 (forall @t9 (=> @t17 (=> @t54 (exists @t7 (and @t21 (= @t58 @t1)))))))
% 72.64/72.87  (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t78 @t54 (= @t76 @t52) (= (tptp.tl @t1) @t58)) @t42))))))
% 72.64/72.87  (assume @p78 @t83)
% 72.64/72.87  (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t64) @t84))))))))
% 72.64/72.87  (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t65) @t84))))))))
% 72.64/72.87  (assume @p81 @t88)
% 72.64/72.87  (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t64 @t12) (tptp.app @t2 @t19)))))))))
% 72.64/72.87  (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t64) (and @t77 @t48)))))))
% 72.64/72.87  (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2))))
% 72.64/72.87  (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t54 (= (tptp.hd @t64) @t52)))))))
% 72.64/72.87  (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t54 (= (tptp.tl @t64) (tptp.app @t58 @t1))))))))
% 72.64/72.87  (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t68 (tptp.geq @t1 @t2)) @t3))))))
% 72.64/72.87  (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t68 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12)))))))))
% 72.64/72.87  (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2))))
% 72.64/72.87  (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2)))))
% 72.64/72.87  (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t67 @t35) @t71))))))))
% 72.64/72.87  (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t67 (or @t3 @t70)))))))
% 72.64/72.87  (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t70 (and @t4 @t67)))))))
% 72.64/72.87  (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t72 (not (tptp.gt @t1 @t2))))))))
% 72.64/72.87  (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t72 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12)))))))))
% 72.64/72.87  (assume @p96 @t125)
% 72.64/72.87  (assume @p97 true)
% 72.64/72.87  (step @p98 :rule aci_norm :args ((= (or @t127 (or @t126 @t53)) @t128)))
% 72.64/72.87  (step @p99 :rule refl :args (@t53))
% 72.64/72.87  (step @p100 :rule bool-double-not-elim :args (@t126))
% 72.64/72.87  (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t130 @t53)))
% 72.64/72.87  (step @p102 :rule bool-impl-elim :args (@t129 @t53))
% 72.64/72.87  (step @p103 :rule trans :premises (@p102 @p101))
% 72.64/72.87  (step @p104 :rule refl :args (@t127))
% 72.64/72.87  (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t127 @t131)))
% 72.64/72.87  (step @p106 :rule trans :premises (@p105 @p98))
% 72.64/72.87  (step @p107 :rule bool-impl-elim :args (@t17 @t131))
% 72.64/72.87  (step @p108 :rule trans :premises (@p107 @p106))
% 72.64/72.87  (step @p109 :rule cong :premises (@p108) :args ((forall @t9 (=> @t17 @t131))))
% 72.64/72.87  (step @p110 :rule refl :args (@t53))
% 72.64/72.87  (step @p111 :rule eq-symm :args (tptp.nil @t2))
% 72.64/72.87  (step @p112 :rule cong :premises (@p111) :args (@t54))
% 72.64/72.87  (step @p113 :rule cong :premises (@p112 @p110) :args (@t55))
% 72.64/72.87  (step @p114 :rule refl :args (@t17))
% 72.64/72.87  (step @p115 :rule cong :premises (@p114 @p113) :args (@t56))
% 72.64/72.87  (step @p116 :rule cong :premises (@p115) :args (@t57))
% 72.64/72.87  (step @p117 :rule trans :premises (@p116 @p109))
% 72.64/72.87  (step @p118 :rule eq_resolve :premises (@p22 @p117))
% 72.64/72.87  (step @p119 :rule refl :args (@t153))
% 72.64/72.87  (step @p120 :rule eq-symm :args (@t151 tptp.nil))
% 72.64/72.87  (step @p121 :rule refl :args (@t155))
% 72.64/72.87  (step @p122 :rule nary_cong :premises (@p121 @p120 @p119) :args (@t157))
% 72.64/72.87  (step @p123 :rule refl :args (@t158))
% 72.64/72.87  (step @p124 :rule cong :premises (@p123 @p122) :args ((=> @t158 @t157)))
% 72.64/72.87  (assume-push @p689 @t158)
% 72.64/72.87  (step @p126 :rule instantiate :premises (@p118) :args (@t159))
% 72.64/72.87  (step-pop @p690 :rule scope :premises (@p126))
% 72.64/72.87  (step @p127 :rule process_scope :premises (@p690) :args (@t157))
% 72.64/72.87  (step @p129 :rule eq_resolve :premises (@p127 @p124))
% 72.64/72.87  (step @p130 :rule implies_elim :premises (@p129))
% 72.64/72.87  (step @p131 :rule chain_m_resolution :premises (@p130 @p118) :args (@t161 @t162 (@list @t158)))
% 72.64/72.87  (step @p132 :rule aci_norm :args ((= @t168 @t166)))
% 72.64/72.87  (step @p133 :rule cong :premises (@p132) :args (@t170))
% 72.64/72.87  (step @p134 :rule quant-merge-prenex :args ((= (forall @t9 @t172) @t170)))
% 72.64/72.87  (step @p135 :rule alpha_equiv :args (@t173 (@list @t163) @t174))
% 72.64/72.87  (step @p136 :rule nary_cong :premises (@p104 @p135) :args (@t175))
% 72.64/72.87  (step @p137 :rule quant-miniscope-or :args ((= @t172 @t175)))
% 72.64/72.87  (step @p138 :rule trans :premises (@p137 @p136))
% 72.64/72.87  (step @p139 :rule symm :premises (@p138))
% 72.64/72.87  (step @p140 :rule cong :premises (@p139) :args ((forall @t9 (or @t127 @t177))))
% 72.64/72.87  (step @p141 :rule trans :premises (@p140 @p134))
% 72.64/72.87  (step @p142 :rule trans :premises (@p141 @p133))
% 72.64/72.87  (step @p143 :rule bool-impl-elim :args (@t17 @t177))
% 72.64/72.87  (step @p144 :rule cong :premises (@p143) :args ((forall @t9 (=> @t17 @t177))))
% 72.64/72.87  (step @p145 :rule trans :premises (@p144 @p142))
% 72.64/72.87  (step @p146 :rule bool-impl-elim :args (@t21 @t5))
% 72.64/72.87  (step @p147 :rule cong :premises (@p146) :args (@t37))
% 72.64/72.87  (step @p148 :rule cong :premises (@p114 @p147) :args (@t38))
% 72.64/72.87  (step @p149 :rule cong :premises (@p148) :args (@t39))
% 72.64/72.87  (step @p150 :rule trans :premises (@p149 @p145))
% 72.64/72.87  (step @p151 :rule eq_resolve :premises (@p15 @p150))
% 72.64/72.87  (step @p152 :rule cong :premises (@p120) :args (@t178))
% 72.64/72.87  (step @p153 :rule refl :args (@t179))
% 72.64/72.87  (step @p154 :rule cong :premises (@p153 @p152) :args (@t180))
% 72.64/72.87  (step @p155 :rule refl :args (@t181))
% 72.64/72.87  (step @p156 :rule nary_cong :premises (@p121 @p155 @p154) :args (@t182))
% 72.64/72.87  (step @p157 :rule refl :args (@t183))
% 72.64/72.87  (step @p158 :rule cong :premises (@p157 @p156) :args ((=> @t183 @t182)))
% 72.64/72.87  (assume-push @p691 @t183)
% 72.64/72.87  (step @p160 :rule instantiate :premises (@p151) :args ((@list @t151 tptp.nil)))
% 72.64/72.87  (step-pop @p692 :rule scope :premises (@p160))
% 72.64/72.87  (step @p161 :rule process_scope :premises (@p692) :args (@t182))
% 72.64/72.87  (step @p163 :rule eq_resolve :premises (@p161 @p158))
% 72.64/72.87  (step @p164 :rule implies_elim :premises (@p163))
% 72.64/72.87  (step @p165 :rule chain_m_resolution :premises (@p164 @p151) :args (@t186 @t162 (@list @t183)))
% 72.64/72.87  (step @p166 :rule eq-symm :args (@t132 tptp.nil))
% 72.64/72.87  (step @p167 :rule refl :args (@t129))
% 72.64/72.87  (step @p168 :rule nary_cong :premises (@p167 @p166) :args (@t187))
% 72.64/72.87  (step @p169 :rule eq-symm :args (@t132 @t134))
% 72.64/72.87  (step @p170 :rule cong :premises (@p169) :args (@t188))
% 72.64/72.87  (step @p171 :rule refl :args (@t136))
% 72.64/72.87  (step @p172 :rule refl :args (@t137))
% 72.64/72.87  (step @p173 :rule refl :args (@t138))
% 72.64/72.87  (step @p174 :rule nary_cong :premises (@p173 @p172 @p171 @p170) :args (@t189))
% 72.64/72.87  (step @p175 :rule cong :premises (@p174) :args (@t190))
% 72.64/72.87  (step @p176 :rule cong :premises (@p175) :args (@t191))
% 72.64/72.87  (step @p177 :rule refl :args (@t142))
% 72.64/72.87  (step @p178 :rule eq-symm :args (@t132 @t143))
% 72.64/72.87  (step @p179 :rule cong :premises (@p178) :args (@t192))
% 72.64/72.87  (step @p180 :rule refl :args (@t144))
% 72.64/72.87  (step @p181 :rule refl :args (@t145))
% 72.64/72.87  (step @p182 :rule nary_cong :premises (@p181 @p180 @p179 @p177) :args (@t193))
% 72.64/72.87  (step @p183 :rule cong :premises (@p182) :args (@t194))
% 72.64/72.87  (step @p184 :rule cong :premises (@p183) :args (@t195))
% 72.64/72.87  (step @p185 :rule refl :args (@t147))
% 72.64/72.87  (step @p186 :rule refl :args (@t148))
% 72.64/72.87  (step @p187 :rule refl :args (@t127))
% 72.64/72.87  (step @p188 :rule nary_cong :premises (@p187 @p186 @p185 @p184 @p176 @p168) :args (@t196))
% 72.64/72.87  (step @p189 :rule aci_norm :args ((= @t198 @t196)))
% 72.64/72.87  (step @p190 :rule trans :premises (@p189 @p188))
% 72.64/72.87  (step @p191 :rule cong :premises (@p190) :args (@t199))
% 72.64/72.87  (step @p192 :rule quant-merge-prenex :args ((= (forall @t9 @t201) @t199)))
% 72.64/72.87  (step @p193 :rule alpha_equiv :args (@t202 (@list @t132) @t174))
% 72.64/72.87  (step @p194 :rule nary_cong :premises (@p104 @p193) :args (@t203))
% 72.64/72.87  (step @p195 :rule quant-miniscope-or :args ((= @t201 @t203)))
% 72.64/72.87  (step @p196 :rule trans :premises (@p195 @p194))
% 72.64/72.87  (step @p197 :rule symm :premises (@p196))
% 72.64/72.87  (step @p198 :rule cong :premises (@p197) :args ((forall @t9 @t212)))
% 72.64/72.87  (step @p199 :rule trans :premises (@p198 @p192))
% 72.64/72.87  (step @p200 :rule trans :premises (@p199 @p191))
% 72.64/72.87  (step @p201 :rule aci_norm :args ((= (or @t127 @t212) @t212)))
% 72.64/72.87  (step @p202 :rule bool-impl-elim :args (@t17 @t212))
% 72.64/72.87  (step @p203 :rule trans :premises (@p202 @p201))
% 72.64/72.87  (step @p204 :rule cong :premises (@p203) :args ((forall @t9 (=> @t17 @t212))))
% 72.64/72.87  (step @p205 :rule trans :premises (@p204 @p200))
% 72.64/72.87  (step @p206 :rule quant-miniscope-or :args ((= (forall @t7 @t213) @t212)))
% 72.64/72.87  (step @p207 :rule aci_norm :args ((= @t214 @t213)))
% 72.64/72.87  (step @p208 :rule cong :premises (@p207) :args ((forall @t7 @t214)))
% 72.64/72.87  (step @p209 :rule trans :premises (@p208 @p206))
% 72.64/72.87  (step @p210 :rule aci_norm :args ((= (or @t176 @t215) @t214)))
% 72.64/72.87  (step @p211 :rule bool-impl-elim :args (@t21 @t215))
% 72.64/72.87  (step @p212 :rule trans :premises (@p211 @p210))
% 72.64/72.87  (step @p213 :rule cong :premises (@p212) :args ((forall @t7 (=> @t21 @t215))))
% 72.64/72.87  (step @p214 :rule trans :premises (@p213 @p209))
% 72.64/72.87  (step @p215 :rule aci_norm :args ((= (or @t113 @t210 @t176 @t216) @t215)))
% 72.64/72.87  (step @p216 :rule aci_norm :args ((= (or @t127 false @t207 @t205) @t216)))
% 72.64/72.87  (step @p217 :rule refl :args (@t205))
% 72.64/72.87  (step @p218 :rule refl :args (@t207))
% 72.64/72.87  (step @p219 :rule evaluate :args ((not true)))
% 72.64/72.87  (step @p220 :rule eq-refl :args (@t2))
% 72.64/72.87  (step @p221 :rule cong :premises (@p220) :args (@t217))
% 72.64/72.87  (step @p222 :rule trans :premises (@p221 @p219))
% 72.64/72.87  (step @p223 :rule nary_cong :premises (@p187 @p222 @p218 @p217) :args (@t218))
% 72.64/72.87  (step @p224 :rule trans :premises (@p223 @p216))
% 72.64/72.87  (step @p225 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t84) @t223 @t114 @t222 @t220)) @t218)))
% 72.64/72.87  (step @p226 :rule refl :args (@t220))
% 72.64/72.87  (step @p227 :rule refl :args (@t222))
% 72.64/72.87  (step @p228 :rule refl :args (@t114))
% 72.64/72.87  (step @p229 :rule refl :args (@t223))
% 72.64/72.87  (step @p230 :rule eq-symm :args (@t2 @t12))
% 72.64/72.87  (step @p231 :rule cong :premises (@p230) :args (@t114))
% 72.64/72.87  (step @p232 :rule nary_cong :premises (@p231 @p229 @p228 @p227 @p226) :args (@t224))
% 72.64/72.87  (step @p233 :rule aci_norm :args ((= @t225 @t224)))
% 72.64/72.87  (step @p234 :rule trans :premises (@p233 @p232))
% 72.64/72.87  (step @p235 :rule cong :premises (@p234) :args (@t226))
% 72.64/72.87  (step @p236 :rule trans :premises (@p235 @p225))
% 72.64/72.87  (step @p237 :rule trans :premises (@p236 @p224))
% 72.64/72.87  (step @p238 :rule refl :args (@t176))
% 72.64/72.87  (step @p239 :rule refl :args (@t210))
% 72.64/72.87  (step @p240 :rule refl :args (@t113))
% 72.64/72.87  (step @p241 :rule nary_cong :premises (@p240 @p239 @p238 @p237) :args (@t227))
% 72.64/72.87  (step @p242 :rule trans :premises (@p241 @p215))
% 72.64/72.87  (step @p243 :rule quant-miniscope-or :args ((= (forall @t16 @t228) @t227)))
% 72.64/72.87  (step @p244 :rule aci_norm :args ((= @t229 @t228)))
% 72.64/72.87  (step @p245 :rule cong :premises (@p244) :args ((forall @t16 @t229)))
% 72.64/72.87  (step @p246 :rule trans :premises (@p245 @p243))
% 72.64/72.87  (step @p247 :rule trans :premises (@p246 @p242))
% 72.64/72.87  (step @p248 :rule aci_norm :args ((= (or @t223 @t230) @t229)))
% 72.64/72.87  (step @p249 :rule bool-impl-elim :args (@t15 @t230))
% 72.64/72.87  (step @p250 :rule trans :premises (@p249 @p248))
% 72.64/72.87  (step @p251 :rule cong :premises (@p250) :args ((forall @t16 (=> @t15 @t230))))
% 72.64/72.87  (step @p252 :rule trans :premises (@p251 @p247))
% 72.64/72.87  (step @p253 :rule aci_norm :args ((= (or @t114 @t113 @t210 @t231) @t230)))
% 72.64/72.87  (step @p254 :rule aci_norm :args ((= (or @t176 false @t222 @t220) @t231)))
% 72.64/72.87  (step @p255 :rule refl :args (@t220))
% 72.64/72.87  (step @p256 :rule refl :args (@t222))
% 72.64/72.87  (step @p257 :rule eq-refl :args (@t1))
% 72.64/72.87  (step @p258 :rule cong :premises (@p257) :args (@t232))
% 72.64/72.87  (step @p259 :rule trans :premises (@p258 @p219))
% 72.64/72.87  (step @p260 :rule nary_cong :premises (@p238 @p259 @p256 @p255) :args (@t233))
% 72.64/72.87  (step @p261 :rule trans :premises (@p260 @p254))
% 72.64/72.87  (step @p262 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t238 @t115 @t237 @t234)) @t233)))
% 72.64/72.87  (step @p263 :rule refl :args (@t234))
% 72.64/72.87  (step @p264 :rule refl :args (@t237))
% 72.64/72.87  (step @p265 :rule refl :args (@t115))
% 72.64/72.87  (step @p266 :rule refl :args (@t238))
% 72.64/72.87  (step @p267 :rule eq-symm :args (@t1 @t10))
% 72.64/72.87  (step @p268 :rule cong :premises (@p267) :args (@t115))
% 72.64/72.87  (step @p269 :rule nary_cong :premises (@p268 @p266 @p265 @p264 @p263) :args (@t239))
% 72.64/72.87  (step @p270 :rule aci_norm :args ((= @t240 @t239)))
% 72.64/72.87  (step @p271 :rule trans :premises (@p270 @p269))
% 72.64/72.87  (step @p272 :rule cong :premises (@p271) :args (@t241))
% 72.64/72.87  (step @p273 :rule trans :premises (@p272 @p262))
% 72.64/72.87  (step @p274 :rule trans :premises (@p273 @p261))
% 72.64/72.87  (step @p275 :rule refl :args (@t114))
% 72.64/72.87  (step @p276 :rule nary_cong :premises (@p275 @p240 @p239 @p274) :args (@t242))
% 72.64/72.87  (step @p277 :rule trans :premises (@p276 @p253))
% 72.64/72.87  (step @p278 :rule quant-miniscope-or :args ((= (forall @t14 @t243) @t242)))
% 72.64/72.87  (step @p279 :rule aci_norm :args ((= @t244 @t243)))
% 72.64/72.87  (step @p280 :rule cong :premises (@p279) :args ((forall @t14 @t244)))
% 72.64/72.87  (step @p281 :rule trans :premises (@p280 @p278))
% 72.64/72.87  (step @p282 :rule trans :premises (@p281 @p277))
% 72.64/72.87  (step @p283 :rule aci_norm :args ((= (or @t238 @t245) @t244)))
% 72.64/72.87  (step @p284 :rule bool-impl-elim :args (@t13 @t245))
% 72.64/72.87  (step @p285 :rule trans :premises (@p284 @p283))
% 72.64/72.87  (step @p286 :rule cong :premises (@p285) :args ((forall @t14 (=> @t13 @t245))))
% 72.64/72.87  (step @p287 :rule trans :premises (@p286 @p282))
% 72.64/72.87  (step @p288 :rule eq-symm :args (tptp.nil @t10))
% 72.64/72.87  (step @p289 :rule eq-symm :args (tptp.nil @t12))
% 72.64/72.87  (step @p290 :rule cong :premises (@p289) :args (@t89))
% 72.64/72.87  (step @p291 :rule nary_cong :premises (@p290 @p288) :args (@t90))
% 72.64/72.87  (step @p292 :rule aci_norm :args ((= @t247 @t236)))
% 72.64/72.87  (step @p293 :rule cong :premises (@p292) :args (@t248))
% 72.64/72.87  (step @p294 :rule quant-merge-prenex :args ((= (forall @t103 @t250) @t248)))
% 72.64/72.87  (step @p295 :rule alpha_equiv :args (@t251 (@list @t133) (@list @t91)))
% 72.64/72.87  (step @p296 :rule refl :args (@t138))
% 72.64/72.87  (step @p297 :rule nary_cong :premises (@p296 @p295) :args (@t252))
% 72.64/72.87  (step @p298 :rule quant-miniscope-or :args ((= @t250 @t252)))
% 72.64/72.87  (step @p299 :rule trans :premises (@p298 @p297))
% 72.64/72.87  (step @p300 :rule symm :premises (@p299))
% 72.64/72.87  (step @p301 :rule cong :premises (@p300) :args ((forall @t103 (or @t138 @t257))))
% 72.64/72.87  (step @p302 :rule trans :premises (@p301 @p294))
% 72.64/72.87  (step @p303 :rule trans :premises (@p302 @p293))
% 72.64/72.87  (step @p304 :rule bool-double-not-elim :args (@t257))
% 72.64/72.87  (step @p305 :rule nary_cong :premises (@p296 @p304) :args ((or @t138 (not @t258))))
% 72.64/72.87  (step @p306 :rule bool-and-de-morgan :args (@t101 @t258 true))
% 72.64/72.87  (step @p307 :rule trans :premises (@p306 @p305))
% 72.64/72.87  (step @p308 :rule cong :premises (@p307) :args (@t260))
% 72.64/72.87  (step @p309 :rule trans :premises (@p308 @p303))
% 72.64/72.87  (step @p310 :rule cong :premises (@p309) :args (@t261))
% 72.64/72.87  (step @p311 :rule exists-elim :args ((= (exists @t103 @t259) @t261)))
% 72.64/72.87  (step @p312 :rule trans :premises (@p311 @p310))
% 72.64/72.87  (step @p313 :rule refl :args (@t254))
% 72.64/72.87  (step @p314 :rule bool-double-not-elim :args (@t255))
% 72.64/72.87  (step @p315 :rule refl :args (@t256))
% 72.64/72.87  (step @p316 :rule nary_cong :premises (@p315 @p314 @p313) :args (@t264))
% 72.64/72.87  (step @p317 :rule aci_norm :args ((= (or @t256 (or @t263 @t254)) @t264)))
% 72.64/72.87  (step @p318 :rule trans :premises (@p317 @p316))
% 72.64/72.87  (step @p319 :rule bool-and-de-morgan :args (@t262 @t253 true))
% 72.64/72.87  (step @p320 :rule nary_cong :premises (@p315 @p319) :args ((or @t256 (not (and @t262 @t253)))))
% 72.64/72.87  (step @p321 :rule bool-and-de-morgan :args (@t97 @t262 (and @t253)))
% 72.64/72.87  (step @p322 :rule trans :premises (@p321 @p320))
% 72.64/72.87  (step @p323 :rule trans :premises (@p322 @p318))
% 72.64/72.87  (step @p324 :rule cong :premises (@p323) :args (@t266))
% 72.64/72.87  (step @p325 :rule cong :premises (@p324) :args (@t267))
% 72.64/72.87  (step @p326 :rule exists-elim :args ((= (exists @t99 @t265) @t267)))
% 72.64/72.87  (step @p327 :rule trans :premises (@p326 @p325))
% 72.64/72.87  (step @p328 :rule eq-symm :args (@t94 @t10))
% 72.64/72.87  (step @p329 :rule eq-symm :args (@t95 @t12))
% 72.64/72.87  (step @p330 :rule cong :premises (@p329) :args (@t96))
% 72.64/72.87  (step @p331 :rule refl :args (@t97))
% 72.64/72.87  (step @p332 :rule nary_cong :premises (@p331 @p330 @p328) :args (@t98))
% 72.64/72.87  (step @p333 :rule cong :premises (@p332) :args (@t100))
% 72.64/72.87  (step @p334 :rule trans :premises (@p333 @p327))
% 72.64/72.87  (step @p335 :rule refl :args (@t101))
% 72.64/72.87  (step @p336 :rule nary_cong :premises (@p335 @p334) :args (@t102))
% 72.64/72.87  (step @p337 :rule cong :premises (@p336) :args (@t104))
% 72.64/72.87  (step @p338 :rule trans :premises (@p337 @p312))
% 72.64/72.87  (step @p339 :rule aci_norm :args ((= @t269 @t209)))
% 72.64/72.87  (step @p340 :rule cong :premises (@p339) :args (@t270))
% 72.64/72.87  (step @p341 :rule quant-merge-prenex :args ((= (forall @t33 @t272) @t270)))
% 72.64/72.87  (step @p342 :rule alpha_equiv :args (@t273 (@list @t140) (@list @t27)))
% 72.64/72.87  (step @p343 :rule refl :args (@t145))
% 72.64/72.87  (step @p344 :rule nary_cong :premises (@p343 @p342) :args (@t274))
% 72.64/72.87  (step @p345 :rule quant-miniscope-or :args ((= @t272 @t274)))
% 72.64/72.87  (step @p346 :rule trans :premises (@p345 @p344))
% 72.64/72.87  (step @p347 :rule symm :premises (@p346))
% 72.64/72.87  (step @p348 :rule cong :premises (@p347) :args ((forall @t33 (or @t145 @t281))))
% 72.64/72.87  (step @p349 :rule trans :premises (@p348 @p341))
% 72.64/72.87  (step @p350 :rule trans :premises (@p349 @p340))
% 72.64/72.87  (step @p351 :rule bool-double-not-elim :args (@t281))
% 72.64/72.87  (step @p352 :rule nary_cong :premises (@p343 @p351) :args ((or @t145 (not @t282))))
% 72.64/72.87  (step @p353 :rule bool-and-de-morgan :args (@t110 @t282 true))
% 72.64/72.87  (step @p354 :rule trans :premises (@p353 @p352))
% 72.64/72.87  (step @p355 :rule cong :premises (@p354) :args (@t284))
% 72.64/72.87  (step @p356 :rule trans :premises (@p355 @p350))
% 72.64/72.87  (step @p357 :rule cong :premises (@p356) :args (@t285))
% 72.64/72.87  (step @p358 :rule exists-elim :args ((= (exists @t33 @t283) @t285)))
% 72.64/72.87  (step @p359 :rule trans :premises (@p358 @p357))
% 72.64/72.87  (step @p360 :rule aci_norm :args ((= (or @t279 (or @t278 @t276)) @t280)))
% 72.64/72.87  (step @p361 :rule bool-and-de-morgan :args (@t277 @t275 true))
% 72.64/72.87  (step @p362 :rule refl :args (@t279))
% 72.64/72.87  (step @p363 :rule nary_cong :premises (@p362 @p361) :args ((or @t279 (not (and @t277 @t275)))))
% 72.64/72.87  (step @p364 :rule bool-and-de-morgan :args (@t30 @t277 (and @t275)))
% 72.64/72.87  (step @p365 :rule trans :premises (@p364 @p363))
% 72.64/72.87  (step @p366 :rule trans :premises (@p365 @p360))
% 72.64/72.87  (step @p367 :rule cong :premises (@p366) :args (@t287))
% 72.64/72.87  (step @p368 :rule cong :premises (@p367) :args (@t288))
% 72.64/72.87  (step @p369 :rule exists-elim :args ((= (exists @t31 @t286) @t288)))
% 72.64/72.87  (step @p370 :rule trans :premises (@p369 @p368))
% 72.64/72.87  (step @p371 :rule eq-symm :args (@t106 @t2))
% 72.64/72.87  (step @p372 :rule eq-symm :args (@t107 @t1))
% 72.64/72.87  (step @p373 :rule refl :args (@t30))
% 72.64/72.87  (step @p374 :rule nary_cong :premises (@p373 @p372 @p371) :args (@t108))
% 72.64/72.87  (step @p375 :rule cong :premises (@p374) :args (@t109))
% 72.64/72.87  (step @p376 :rule trans :premises (@p375 @p370))
% 72.64/72.87  (step @p377 :rule refl :args (@t110))
% 72.64/72.87  (step @p378 :rule nary_cong :premises (@p377 @p376) :args (@t111))
% 72.64/72.87  (step @p379 :rule cong :premises (@p378) :args (@t112))
% 72.64/72.87  (step @p380 :rule trans :premises (@p379 @p359))
% 72.64/72.87  (step @p381 :rule refl :args (@t115))
% 72.64/72.87  (step @p382 :rule nary_cong :premises (@p381 @p275 @p240 @p380 @p338 @p291) :args (@t116))
% 72.64/72.87  (step @p383 :rule refl :args (@t13))
% 72.64/72.87  (step @p384 :rule cong :premises (@p383 @p382) :args (@t117))
% 72.64/72.87  (step @p385 :rule cong :premises (@p384) :args (@t118))
% 72.64/72.87  (step @p386 :rule trans :premises (@p385 @p287))
% 72.64/72.87  (step @p387 :rule refl :args (@t15))
% 72.64/72.87  (step @p388 :rule cong :premises (@p387 @p386) :args (@t119))
% 72.64/72.87  (step @p389 :rule cong :premises (@p388) :args (@t120))
% 72.64/72.87  (step @p390 :rule trans :premises (@p389 @p252))
% 72.64/72.87  (step @p391 :rule refl :args (@t21))
% 72.64/72.87  (step @p392 :rule cong :premises (@p391 @p390) :args (@t121))
% 72.64/72.87  (step @p393 :rule cong :premises (@p392) :args (@t122))
% 72.64/72.87  (step @p394 :rule trans :premises (@p393 @p214))
% 72.64/72.87  (step @p395 :rule cong :premises (@p114 @p394) :args (@t123))
% 72.64/72.87  (step @p396 :rule cong :premises (@p395) :args (@t124))
% 72.64/72.87  (step @p397 :rule trans :premises (@p396 @p205))
% 72.64/72.87  (step @p398 :rule cong :premises (@p397) :args (@t125))
% 72.64/72.87  (step @p399 :rule eq_resolve :premises (@p96 @p398))
% 72.64/72.87  (step @p400 :rule refl :args (@t299))
% 72.64/72.87  (step @p401 :rule bool-double-not-elim :args (@t150))
% 72.64/72.87  (step @p402 :rule nary_cong :premises (@p401 @p400) :args ((or (not @t300) @t299)))
% 72.64/72.87  (step @p403 :rule refl :args (@t160))
% 72.64/72.87  (step @p404 :rule eq-symm :args (@t289 tptp.nil))
% 72.64/72.87  (step @p405 :rule cong :premises (@p404) :args (@t301))
% 72.64/72.87  (step @p406 :rule nary_cong :premises (@p405 @p403) :args (@t302))
% 72.64/72.87  (step @p407 :rule refl :args (@t290))
% 72.64/72.87  (step @p408 :rule eq-symm :args (@t289 @t135))
% 72.64/72.87  (step @p409 :rule nary_cong :premises (@p173 @p172 @p408 @p407) :args (@t303))
% 72.64/72.87  (step @p410 :rule cong :premises (@p409) :args (@t304))
% 72.64/72.87  (step @p411 :rule cong :premises (@p410) :args (@t305))
% 72.64/72.87  (step @p412 :rule eq-symm :args (@t289 @t141))
% 72.64/72.87  (step @p413 :rule cong :premises (@p412) :args (@t306))
% 72.64/72.87  (step @p414 :rule refl :args (@t293))
% 72.64/72.87  (step @p415 :rule nary_cong :premises (@p181 @p180 @p414 @p413) :args (@t307))
% 72.64/72.87  (step @p416 :rule cong :premises (@p415) :args (@t308))
% 72.64/72.87  (step @p417 :rule cong :premises (@p416) :args (@t309))
% 72.64/72.87  (step @p418 :rule refl :args (@t296))
% 72.64/72.87  (step @p419 :rule refl :args (@t297))
% 72.64/72.87  (step @p420 :rule nary_cong :premises (@p419 @p121 @p418 @p417 @p411 @p406) :args (@t310))
% 72.64/72.87  (step @p421 :rule cong :premises (@p420) :args (@t311))
% 72.64/72.87  (step @p422 :rule refl :args (@t300))
% 72.64/72.87  (step @p423 :rule cong :premises (@p422 @p421) :args ((=> @t300 @t311)))
% 72.64/72.87  (assume-push @p693 @t300)
% 72.64/72.87  (step @p425 :rule skolemize :premises (@p399))
% 72.64/72.87  (step-pop @p694 :rule scope :premises (@p425))
% 72.64/72.87  (step @p426 :rule process_scope :premises (@p694) :args (@t311))
% 72.64/72.87  (step @p428 :rule eq_resolve :premises (@p426 @p423))
% 72.64/72.87  (step @p429 :rule implies_elim :premises (@p428))
% 72.64/72.87  (step @p430 :rule eq_resolve :premises (@p429 @p402))
% 72.64/72.87  (step @p431 :rule chain_m_resolution :premises (@p430 @p399) :args (@t299 @t312 (@list @t150)))
% 72.64/72.87  (step @p432 :rule bool-double-not-elim :args (@t154))
% 72.64/72.87  (step @p433 :rule refl :args (@t298))
% 72.64/72.87  (step @p434 :rule nary_cong :premises (@p433 @p432) :args ((or @t298 (not @t155))))
% 72.64/72.87  (step @p435 :rule cnf_or_neg :args (@t298 1))
% 72.64/72.87  (step @p436 :rule eq_resolve :premises (@p435 @p434))
% 72.64/72.87  (step @p437 :rule reordering :premises (@p436) :args ((or @t154 @t298)))
% 72.64/72.87  (step @p438 :rule chain_m_resolution :premises (@p437 @p431) :args (@t154 @t312 @t313))
% 72.64/72.87  (step @p439 :rule cnf_or_pos :args (@t186))
% 72.64/72.87  (step @p440 :rule reordering :premises (@p439) :args ((or @t181 @t155 @t185 (not @t186))))
% 72.64/72.87  (step @p441 :rule chain_m_resolution :premises (@p440 @p17 @p438 @p165) :args (@t185 @t314 (@list @t41 @t154 @t186)))
% 72.64/72.87  (step @p442 :rule bool-double-not-elim :args (@t179))
% 72.64/72.87  (step @p443 :rule nary_cong :premises (@p433 @p442) :args ((or @t298 (not @t296))))
% 72.64/72.87  (step @p444 :rule cnf_or_neg :args (@t298 2))
% 72.64/72.87  (step @p445 :rule eq_resolve :premises (@p444 @p443))
% 72.64/72.87  (step @p446 :rule reordering :premises (@p445) :args ((or @t179 @t298)))
% 72.64/72.87  (step @p447 :rule chain_m_resolution :premises (@p446 @p431) :args (@t179 @t312 @t313))
% 72.64/72.87  (step @p448 :rule cnf_equiv_pos1 :args (@t185))
% 72.64/72.87  (step @p449 :rule reordering :premises (@p448) :args ((or @t296 @t184 (not @t185))))
% 72.64/72.87  (step @p450 :rule chain_m_resolution :premises (@p449 @p447 @p441) :args (@t184 (@list false false) (@list @t179 @t185)))
% 72.64/72.87  (step @p451 :rule cnf_or_pos :args (@t161))
% 72.64/72.87  (step @p452 :rule reordering :premises (@p451) :args ((or @t155 @t160 @t153 (not @t161))))
% 72.64/72.87  (step @p453 :rule chain_m_resolution :premises (@p452 @p438 @p450 @p131) :args (@t153 @t315 (@list @t154 @t160 @t161)))
% 72.64/72.87  (step @p454 :rule aci_norm :args ((= (or @t127 @t324) @t323)))
% 72.64/72.87  (step @p455 :rule bool-impl-elim :args (@t17 @t324))
% 72.64/72.87  (step @p456 :rule trans :premises (@p455 @p454))
% 72.64/72.87  (step @p457 :rule cong :premises (@p456) :args ((forall @t9 (=> @t17 @t324))))
% 72.64/72.87  (step @p458 :rule aci_norm :args ((= @t326 @t320)))
% 72.64/72.87  (step @p459 :rule cong :premises (@p458) :args (@t327))
% 72.64/72.87  (step @p460 :rule quant-merge-prenex :args ((= (forall @t7 @t329) @t327)))
% 72.64/72.87  (step @p461 :rule alpha_equiv :args (@t330 (@list @t316) (@list @t12)))
% 72.64/72.87  (step @p462 :rule refl :args (@t176))
% 72.64/72.87  (step @p463 :rule nary_cong :premises (@p462 @p461) :args (@t331))
% 72.64/72.87  (step @p464 :rule quant-miniscope-or :args ((= @t329 @t331)))
% 72.64/72.87  (step @p465 :rule trans :premises (@p464 @p463))
% 72.64/72.87  (step @p466 :rule symm :premises (@p465))
% 72.64/72.87  (step @p467 :rule cong :premises (@p466) :args ((forall @t7 (or @t176 @t333))))
% 72.64/72.87  (step @p468 :rule trans :premises (@p467 @p460))
% 72.64/72.87  (step @p469 :rule trans :premises (@p468 @p459))
% 72.64/72.87  (step @p470 :rule bool-double-not-elim :args (@t333))
% 72.64/72.87  (step @p471 :rule nary_cong :premises (@p462 @p470) :args ((or @t176 (not @t334))))
% 72.64/72.87  (step @p472 :rule bool-and-de-morgan :args (@t21 @t334 true))
% 72.64/72.87  (step @p473 :rule trans :premises (@p472 @p471))
% 72.64/72.87  (step @p474 :rule cong :premises (@p473) :args (@t336))
% 72.64/72.87  (step @p475 :rule trans :premises (@p474 @p469))
% 72.64/72.87  (step @p476 :rule cong :premises (@p475) :args (@t337))
% 72.64/72.87  (step @p477 :rule exists-elim :args ((= (exists @t7 @t335) @t337)))
% 72.64/72.87  (step @p478 :rule trans :premises (@p477 @p476))
% 72.64/72.87  (step @p479 :rule bool-and-de-morgan :args (@t34 @t332 true))
% 72.64/72.87  (step @p480 :rule cong :premises (@p479) :args (@t339))
% 72.64/72.87  (step @p481 :rule cong :premises (@p480) :args (@t340))
% 72.64/72.87  (step @p482 :rule exists-elim :args ((= (exists @t16 @t338) @t340)))
% 72.64/72.87  (step @p483 :rule trans :premises (@p482 @p481))
% 72.64/72.87  (step @p484 :rule eq-symm :args (@t43 @t2))
% 72.64/72.87  (step @p485 :rule refl :args (@t34))
% 72.64/72.87  (step @p486 :rule nary_cong :premises (@p485 @p484) :args (@t44))
% 72.64/72.87  (step @p487 :rule cong :premises (@p486) :args (@t45))
% 72.64/72.87  (step @p488 :rule trans :premises (@p487 @p483))
% 72.64/72.87  (step @p489 :rule nary_cong :premises (@p391 @p488) :args (@t46))
% 72.64/72.87  (step @p490 :rule cong :premises (@p489) :args (@t47))
% 72.64/72.87  (step @p491 :rule trans :premises (@p490 @p478))
% 72.64/72.87  (step @p492 :rule nary_cong :premises (@p111 @p491) :args (@t49))
% 72.64/72.87  (step @p493 :rule cong :premises (@p114 @p492) :args (@t50))
% 72.64/72.87  (step @p494 :rule cong :premises (@p493) :args (@t51))
% 72.64/72.87  (step @p495 :rule trans :premises (@p494 @p457))
% 72.64/72.87  (step @p496 :rule eq_resolve :premises (@p20 @p495))
% 72.64/72.87  (step @p497 :rule eq-symm :args (@t151 @t317))
% 72.64/72.87  (step @p498 :rule cong :premises (@p497) :args (@t341))
% 72.64/72.87  (step @p499 :rule refl :args (@t319))
% 72.64/72.87  (step @p500 :rule nary_cong :premises (@p238 @p499 @p498) :args (@t342))
% 72.64/72.87  (step @p501 :rule cong :premises (@p500) :args (@t343))
% 72.64/72.87  (step @p502 :rule cong :premises (@p501) :args (@t344))
% 72.64/72.87  (step @p503 :rule nary_cong :premises (@p121 @p120 @p502) :args (@t345))
% 72.64/72.87  (step @p504 :rule refl :args (@t346))
% 72.64/72.87  (step @p505 :rule cong :premises (@p504 @p503) :args ((=> @t346 @t345)))
% 72.64/72.87  (assume-push @p695 @t346)
% 72.64/72.87  (step @p507 :rule instantiate :premises (@p496) :args (@t159))
% 72.64/72.87  (step-pop @p696 :rule scope :premises (@p507))
% 72.64/72.87  (step @p508 :rule process_scope :premises (@p696) :args (@t345))
% 72.64/72.87  (step @p510 :rule eq_resolve :premises (@p508 @p505))
% 72.64/72.87  (step @p511 :rule implies_elim :premises (@p510))
% 72.64/72.87  (step @p512 :rule chain_m_resolution :premises (@p511 @p496) :args (@t349 @t162 (@list @t346)))
% 72.64/72.87  (step @p513 :rule cnf_or_pos :args (@t349))
% 72.64/72.87  (step @p514 :rule reordering :premises (@p513) :args ((or @t155 @t160 @t348 (not @t349))))
% 72.64/72.87  (step @p515 :rule chain_m_resolution :premises (@p514 @p438 @p450 @p512) :args (@t348 @t315 (@list @t154 @t160 @t349)))
% 72.64/72.87  (step @p516 :rule refl :args (@t360))
% 72.64/72.87  (step @p517 :rule bool-double-not-elim :args (@t347))
% 72.64/72.87  (step @p518 :rule nary_cong :premises (@p517 @p516) :args ((or (not @t348) @t360)))
% 72.64/72.87  (step @p519 :rule eq-symm :args (@t352 @t151))
% 72.64/72.87  (step @p520 :rule cong :premises (@p519) :args (@t361))
% 72.64/72.87  (step @p521 :rule refl :args (@t356))
% 72.64/72.87  (step @p522 :rule refl :args (@t358))
% 72.64/72.87  (step @p523 :rule nary_cong :premises (@p522 @p521 @p520) :args (@t362))
% 72.64/72.87  (step @p524 :rule cong :premises (@p523) :args (@t363))
% 72.64/72.87  (step @p525 :rule refl :args (@t348))
% 72.64/72.87  (step @p526 :rule cong :premises (@p525 @p524) :args ((=> @t348 @t363)))
% 72.64/72.87  (assume-push @p697 @t348)
% 72.64/72.87  (step @p528 :rule skolemize :premises (@p515))
% 72.64/72.87  (step-pop @p698 :rule scope :premises (@p528))
% 72.64/72.87  (step @p529 :rule process_scope :premises (@p698) :args (@t363))
% 72.64/72.87  (step @p531 :rule eq_resolve :premises (@p529 @p526))
% 72.64/72.87  (step @p532 :rule implies_elim :premises (@p531))
% 72.64/72.87  (step @p533 :rule eq_resolve :premises (@p532 @p518))
% 72.64/72.87  (step @p534 :rule chain_m_resolution :premises (@p533 @p515) :args (@t360 @t312 (@list @t347)))
% 72.64/72.87  (step @p535 :rule bool-double-not-elim :args (@t357))
% 72.64/72.87  (step @p536 :rule refl :args (@t359))
% 72.64/72.87  (step @p537 :rule nary_cong :premises (@p536 @p535) :args ((or @t359 (not @t358))))
% 72.64/72.87  (step @p538 :rule cnf_or_neg :args (@t359 0))
% 72.64/72.87  (step @p539 :rule eq_resolve :premises (@p538 @p537))
% 72.64/72.87  (step @p540 :rule reordering :premises (@p539) :args ((or @t357 @t359)))
% 72.64/72.87  (step @p541 :rule chain_m_resolution :premises (@p540 @p534) :args (@t357 @t312 @t364))
% 72.64/72.87  (step @p542 :rule true_intro :premises (@p541))
% 72.64/72.87  (step @p543 :rule aci_norm :args ((= @t369 (or @t127 @t367 @t366))))
% 72.64/72.87  (step @p544 :rule cong :premises (@p543) :args (@t370))
% 72.64/72.87  (step @p545 :rule quant-merge-prenex :args ((= (forall @t9 @t372) @t370)))
% 72.64/72.87  (step @p546 :rule alpha_equiv :args (@t373 (@list @t365) @t174))
% 72.64/72.87  (step @p547 :rule nary_cong :premises (@p104 @p546) :args (@t374))
% 72.64/72.87  (step @p548 :rule quant-miniscope-or :args ((= @t372 @t374)))
% 72.64/72.88  (step @p549 :rule trans :premises (@p548 @p547))
% 72.64/72.88  (step @p550 :rule symm :premises (@p549))
% 72.64/72.88  (step @p551 :rule cong :premises (@p550) :args ((forall @t9 (or @t127 @t377))))
% 72.64/72.88  (step @p552 :rule trans :premises (@p551 @p545))
% 72.64/72.88  (step @p553 :rule trans :premises (@p552 @p544))
% 72.64/72.88  (step @p554 :rule bool-impl-elim :args (@t17 @t377))
% 72.64/72.88  (step @p555 :rule cong :premises (@p554) :args ((forall @t9 (=> @t17 @t377))))
% 72.64/72.88  (step @p556 :rule trans :premises (@p555 @p553))
% 72.64/72.88  (step @p557 :rule bool-impl-elim :args (@t6 @t375))
% 72.64/72.88  (step @p558 :rule cong :premises (@p557) :args ((forall @t7 (=> @t6 @t375))))
% 72.64/72.88  (step @p559 :rule eq-symm :args (@t59 @t2))
% 72.64/72.88  (step @p560 :rule refl :args (@t6))
% 72.64/72.88  (step @p561 :rule cong :premises (@p560 @p559) :args (@t60))
% 72.64/72.88  (step @p562 :rule cong :premises (@p561) :args (@t61))
% 72.64/72.88  (step @p563 :rule trans :premises (@p562 @p558))
% 72.64/72.88  (step @p564 :rule cong :premises (@p114 @p563) :args (@t62))
% 72.64/72.88  (step @p565 :rule cong :premises (@p564) :args (@t63))
% 72.64/72.88  (step @p566 :rule trans :premises (@p565 @p556))
% 72.64/72.88  (step @p567 :rule eq_resolve :premises (@p25 @p566))
% 72.64/72.88  (step @p568 :rule instantiate :premises (@p567) :args ((@list @t350 @t351)))
% 72.64/72.88  (step @p569 :rule bool-double-not-elim :args (@t355))
% 72.64/72.88  (step @p570 :rule nary_cong :premises (@p536 @p569) :args ((or @t359 (not @t356))))
% 72.64/72.88  (step @p571 :rule cnf_or_neg :args (@t359 1))
% 72.64/72.88  (step @p572 :rule eq_resolve :premises (@p571 @p570))
% 72.64/72.88  (step @p573 :rule reordering :premises (@p572) :args ((or @t355 @t359)))
% 72.64/72.88  (step @p574 :rule chain_m_resolution :premises (@p573 @p534) :args (@t355 @t312 @t364))
% 72.64/72.88  (step @p575 :rule cnf_or_pos :args (@t379))
% 72.64/72.88  (step @p576 :rule reordering :premises (@p575) :args ((or @t358 @t356 @t378 (not @t379))))
% 72.64/72.88  (step @p577 :rule chain_m_resolution :premises (@p576 @p541 @p574 @p568) :args (@t378 @t314 (@list @t357 @t355 @t379)))
% 72.64/72.88  (step @p578 :rule symm :premises (@p577))
% 72.64/72.88  (step @p579 :rule bool-double-not-elim :args (@t353))
% 72.64/72.88  (step @p580 :rule nary_cong :premises (@p536 @p579) :args ((or @t359 (not @t354))))
% 72.64/72.88  (step @p581 :rule cnf_or_neg :args (@t359 2))
% 72.64/72.88  (step @p582 :rule eq_resolve :premises (@p581 @p580))
% 72.64/72.88  (step @p583 :rule reordering :premises (@p582) :args ((or @t353 @t359)))
% 72.64/72.88  (step @p584 :rule chain_m_resolution :premises (@p583 @p534) :args (@t353 @t312 @t364))
% 72.64/72.88  (step @p585 :rule cong :premises (@p584) :args (@t380))
% 72.64/72.88  (step @p586 :rule trans :premises (@p585 @p578))
% 72.64/72.88  (step @p587 :rule cong :premises (@p586) :args (@t381))
% 72.64/72.88  (step @p588 :rule trans :premises (@p587 @p542))
% 72.64/72.88  (step @p589 :rule true_elim :premises (@p588))
% 72.64/72.88  (step @p590 :rule bool-double-not-elim :args (@t291))
% 72.64/72.88  (step @p591 :rule nary_cong :premises (@p433 @p590) :args ((or @t298 (not @t292))))
% 72.64/72.88  (step @p592 :rule cnf_or_neg :args (@t298 4))
% 72.64/72.88  (step @p593 :rule eq_resolve :premises (@p592 @p591))
% 72.64/72.88  (step @p594 :rule reordering :premises (@p593) :args ((or @t291 @t298)))
% 72.64/72.88  (step @p595 :rule chain_m_resolution :premises (@p594 @p431) :args (@t291 @t312 @t313))
% 72.64/72.88  (step @p596 :rule eq-symm :args (@t383 @t151))
% 72.64/72.88  (step @p597 :rule cong :premises (@p596) :args (@t384))
% 72.64/72.88  (step @p598 :rule eq-symm :args (@t385 @t289))
% 72.64/72.88  (step @p599 :rule refl :args (@t386))
% 72.64/72.88  (step @p600 :rule refl :args (@t387))
% 72.64/72.88  (step @p601 :rule nary_cong :premises (@p600 @p599 @p598 @p597) :args (@t389))
% 72.64/72.88  (step @p602 :rule refl :args (@t291))
% 72.64/72.88  (step @p603 :rule cong :premises (@p602 @p601) :args ((=> @t291 @t389)))
% 72.64/72.88  (assume-push @p699 @t291)
% 72.64/72.88  (step @p605 :rule instantiate :premises (@p595) :args (@t390))
% 72.64/72.88  (step-pop @p700 :rule scope :premises (@p605))
% 72.64/72.88  (step @p606 :rule process_scope :premises (@p700) :args (@t389))
% 72.64/72.88  (step @p608 :rule eq_resolve :premises (@p606 @p603))
% 72.64/72.88  (step @p609 :rule implies_elim :premises (@p608))
% 72.64/72.88  (step @p610 :rule chain_m_resolution :premises (@p609 @p595) :args (@t394 @t162 (@list @t291)))
% 72.64/72.88  (step @p611 :rule aci_norm :args ((= @t399 (or @t127 @t397 @t396))))
% 72.64/72.88  (step @p612 :rule cong :premises (@p611) :args (@t400))
% 72.64/72.88  (step @p613 :rule quant-merge-prenex :args ((= (forall @t9 @t402) @t400)))
% 72.64/72.88  (step @p614 :rule alpha_equiv :args (@t403 (@list @t395) @t174))
% 72.64/72.88  (step @p615 :rule nary_cong :premises (@p104 @p614) :args (@t404))
% 72.64/72.88  (step @p616 :rule quant-miniscope-or :args ((= @t402 @t404)))
% 72.64/72.88  (step @p617 :rule trans :premises (@p616 @p615))
% 72.64/72.88  (step @p618 :rule symm :premises (@p617))
% 72.64/72.88  (step @p619 :rule cong :premises (@p618) :args ((forall @t9 (or @t127 @t405))))
% 72.64/72.88  (step @p620 :rule trans :premises (@p619 @p613))
% 72.64/72.88  (step @p621 :rule trans :premises (@p620 @p612))
% 72.64/72.88  (step @p622 :rule bool-impl-elim :args (@t17 @t405))
% 72.64/72.88  (step @p623 :rule cong :premises (@p622) :args ((forall @t9 (=> @t17 @t405))))
% 72.64/72.88  (step @p624 :rule trans :premises (@p623 @p621))
% 72.64/72.88  (step @p625 :rule bool-impl-elim :args (@t6 @t85))
% 72.64/72.88  (step @p626 :rule cong :premises (@p625) :args (@t86))
% 72.64/72.88  (step @p627 :rule cong :premises (@p114 @p626) :args (@t87))
% 72.64/72.88  (step @p628 :rule cong :premises (@p627) :args (@t88))
% 72.64/72.88  (step @p629 :rule trans :premises (@p628 @p624))
% 72.64/72.88  (step @p630 :rule eq_resolve :premises (@p81 @p629))
% 72.64/72.88  (step @p631 :rule instantiate :premises (@p630) :args ((@list @t380 @t152)))
% 72.64/72.88  (step @p632 :rule cnf_or_pos :args (@t408))
% 72.64/72.88  (step @p633 :rule reordering :premises (@p632) :args ((or @t387 @t386 @t407 (not @t408))))
% 72.64/72.88  (step @p634 :rule chain_m_resolution :premises (@p633 @p453 @p589 @p631) :args (@t407 @t314 (@list @t153 @t381 @t408)))
% 72.64/72.88  (step @p635 :rule aci_norm :args ((= (or @t127 (or @t126 @t409)) @t410)))
% 72.64/72.88  (step @p636 :rule refl :args (@t409))
% 72.64/72.88  (step @p637 :rule nary_cong :premises (@p100 @p636) :args ((or @t130 @t409)))
% 72.64/72.88  (step @p638 :rule bool-impl-elim :args (@t129 @t409))
% 72.64/72.88  (step @p639 :rule trans :premises (@p638 @p637))
% 72.64/72.88  (step @p640 :rule nary_cong :premises (@p104 @p639) :args ((or @t127 @t411)))
% 72.64/72.88  (step @p641 :rule trans :premises (@p640 @p635))
% 72.64/72.88  (step @p642 :rule bool-impl-elim :args (@t17 @t411))
% 72.64/72.88  (step @p643 :rule trans :premises (@p642 @p641))
% 72.64/72.88  (step @p644 :rule cong :premises (@p643) :args ((forall @t9 (=> @t17 @t411))))
% 72.64/72.88  (step @p645 :rule eq-symm :args (@t80 @t2))
% 72.64/72.88  (step @p646 :rule cong :premises (@p112 @p645) :args (@t81))
% 72.64/72.88  (step @p647 :rule cong :premises (@p114 @p646) :args (@t82))
% 72.64/72.88  (step @p648 :rule cong :premises (@p647) :args (@t83))
% 72.64/72.88  (step @p649 :rule trans :premises (@p648 @p644))
% 72.64/72.88  (step @p650 :rule eq_resolve :premises (@p78 @p649))
% 72.64/72.88  (step @p651 :rule refl :args (@t412))
% 72.64/72.88  (step @p652 :rule nary_cong :premises (@p121 @p120 @p651) :args (@t413))
% 72.64/72.88  (step @p653 :rule refl :args (@t414))
% 72.64/72.88  (step @p654 :rule cong :premises (@p653 @p652) :args ((=> @t414 @t413)))
% 72.64/72.88  (assume-push @p701 @t414)
% 72.64/72.88  (step @p656 :rule instantiate :premises (@p650) :args (@t159))
% 72.64/72.88  (step-pop @p702 :rule scope :premises (@p656))
% 72.64/72.88  (step @p657 :rule process_scope :premises (@p702) :args (@t413))
% 72.64/72.88  (step @p659 :rule eq_resolve :premises (@p657 @p654))
% 72.64/72.88  (step @p660 :rule implies_elim :premises (@p659))
% 72.64/72.88  (step @p661 :rule chain_m_resolution :premises (@p660 @p650) :args (@t415 @t162 (@list @t414)))
% 72.64/72.88  (step @p662 :rule cnf_or_pos :args (@t415))
% 72.64/72.88  (step @p663 :rule reordering :premises (@p662) :args ((or @t155 @t160 @t412 (not @t415))))
% 72.64/72.88  (step @p664 :rule chain_m_resolution :premises (@p663 @p438 @p450 @p661) :args (@t412 @t315 (@list @t154 @t160 @t415)))
% 72.64/72.88  (step @p665 :rule trans :premises (@p664 @p634))
% 72.64/72.88  (step @p666 :rule bool-double-not-elim :args (@t294))
% 72.64/72.88  (step @p667 :rule nary_cong :premises (@p433 @p666) :args ((or @t298 (not @t295))))
% 72.64/72.88  (step @p668 :rule cnf_or_neg :args (@t298 3))
% 72.64/72.88  (step @p669 :rule eq_resolve :premises (@p668 @p667))
% 72.64/72.88  (step @p670 :rule reordering :premises (@p669) :args ((or @t294 @t298)))
% 72.64/72.88  (step @p671 :rule chain_m_resolution :premises (@p670 @p431) :args (@t294 @t312 @t313))
% 72.64/72.88  (step @p672 :rule cong :premises (@p598) :args (@t416))
% 72.64/72.88  (step @p673 :rule nary_cong :premises (@p600 @p599 @p597 @p672) :args (@t417))
% 72.64/72.88  (step @p674 :rule refl :args (@t294))
% 72.64/72.88  (step @p675 :rule cong :premises (@p674 @p673) :args ((=> @t294 @t417)))
% 72.64/72.88  (assume-push @p703 @t294)
% 72.64/72.88  (step @p677 :rule instantiate :premises (@p671) :args (@t390))
% 72.64/72.88  (step-pop @p704 :rule scope :premises (@p677))
% 72.64/72.88  (step @p678 :rule process_scope :premises (@p704) :args (@t417))
% 72.64/72.88  (step @p680 :rule eq_resolve :premises (@p678 @p675))
% 72.64/72.88  (step @p681 :rule implies_elim :premises (@p680))
% 72.64/72.88  (step @p682 :rule chain_m_resolution :premises (@p681 @p671) :args (@t419 @t162 (@list @t294)))
% 72.64/72.88  (step @p683 :rule cnf_or_pos :args (@t419))
% 72.64/72.88  (step @p684 :rule reordering :premises (@p683) :args ((or @t387 @t386 @t392 @t418 (not @t419))))
% 72.64/72.88  (step @p685 :rule chain_m_resolution :premises (@p684 @p453 @p589 @p665 @p682) :args (@t418 (@list false false false false) (@list @t153 @t381 @t391 @t419)))
% 72.64/72.88  (step @p686 :rule cnf_or_pos :args (@t394))
% 72.64/72.88  (step @p687 :rule reordering :premises (@p686) :args ((or @t387 @t386 @t392 @t393 (not @t394))))
% 72.64/72.88  (step @p688 false :rule chain_m_resolution :premises (@p687 @p685 @p665 @p610 @p589 @p453) :args (false (@list true false false false false) (@list @t393 @t391 @t394 @t381 @t153)))
% 72.64/72.88  )
% 72.64/72.88  % SZS output end Proof
% 72.64/72.88  % cvc5 exiting
%------------------------------------------------------------------------------