cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWC313+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 : n003.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 08:58:50 AM UTC 2026

% Result   : Theorem 72.42s 72.66s
% Output   : Proof 72.42s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC313+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
% 0.16/0.34  % Computer : n003.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 19:40:29 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.30/0.51  %----Proving TF0_NAR, FOF, or CNF
% 72.42/72.66  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 72.42/72.66  --- Run --no-e-matching --full-saturate-quant at 6...
% 72.42/72.66  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 72.42/72.66  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 72.42/72.66  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 72.42/72.66  --- Run --trigger-sel=max --full-saturate-quant at 15...
% 72.42/72.66  % SZS status Theorem
% 72.42/72.66  % SZS output start Proof
% 72.42/72.66  (
% 72.42/72.66  (declare-sort $$unsorted 0)
% 72.42/72.66  (declare-const tptp.tl (-> $$unsorted $$unsorted))
% 72.42/72.66  (declare-const tptp.hd (-> $$unsorted $$unsorted))
% 72.42/72.66  (declare-const tptp.duplicatefreeP (-> $$unsorted Bool))
% 72.42/72.66  (declare-const tptp.strictorderedP (-> $$unsorted Bool))
% 72.42/72.66  (declare-const tptp.geq (-> $$unsorted $$unsorted Bool))
% 72.42/72.66  (declare-const tptp.strictorderP (-> $$unsorted Bool))
% 72.42/72.66  (declare-const tptp.equalelemsP (-> $$unsorted Bool))
% 72.42/72.66  (declare-const tptp.totalorderP (-> $$unsorted Bool))
% 72.42/72.66  (declare-const tptp.neq (-> $$unsorted $$unsorted Bool))
% 72.42/72.66  (declare-const tptp.totalorderedP (-> $$unsorted Bool))
% 72.42/72.66  (declare-const tptp.singletonP (-> $$unsorted Bool))
% 72.42/72.66  (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted))
% 72.42/72.66  (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted))
% 72.42/72.66  (declare-const tptp.nil $$unsorted)
% 72.42/72.66  (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool))
% 72.42/72.66  (declare-const tptp.lt (-> $$unsorted $$unsorted Bool))
% 72.42/72.66  (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool))
% 72.42/72.66  (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool))
% 72.42/72.66  (declare-const tptp.gt (-> $$unsorted $$unsorted Bool))
% 72.42/72.66  (declare-const tptp.ssList (-> $$unsorted Bool))
% 72.42/72.66  (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool))
% 72.42/72.66  (declare-const tptp.cyclefreeP (-> $$unsorted Bool))
% 72.42/72.66  (declare-const tptp.ssItem (-> $$unsorted Bool))
% 72.42/72.66  (declare-const tptp.leq (-> $$unsorted $$unsorted Bool))
% 72.42/72.66  (define @t1 () (@var "V" $$unsorted))
% 72.42/72.66  (define @t2 () (@var "U" $$unsorted))
% 72.42/72.66  (define @t3 () (= @t2 @t1))
% 72.42/72.66  (define @t4 () (not @t3))
% 72.42/72.66  (define @t5 () (= (tptp.neq @t2 @t1) @t4))
% 72.42/72.66  (define @t6 () (tptp.ssItem @t1))
% 72.42/72.66  (define @t7 () (@list @t1))
% 72.42/72.66  (define @t8 () (tptp.ssItem @t2))
% 72.42/72.66  (define @t9 () (@list @t2))
% 72.42/72.66  (define @t10 () (@var "X" $$unsorted))
% 72.42/72.66  (define @t11 () (tptp.cons @t1 @t10))
% 72.42/72.66  (define @t12 () (@var "W" $$unsorted))
% 72.42/72.66  (define @t13 () (tptp.ssList @t10))
% 72.42/72.66  (define @t14 () (@list @t10))
% 72.42/72.66  (define @t15 () (tptp.ssList @t12))
% 72.42/72.66  (define @t16 () (@list @t12))
% 72.42/72.66  (define @t17 () (tptp.ssList @t2))
% 72.42/72.66  (define @t18 () (tptp.cons @t1 tptp.nil))
% 72.42/72.66  (define @t19 () (tptp.app @t1 @t12))
% 72.42/72.66  (define @t20 () (tptp.frontsegP @t2 @t1))
% 72.42/72.66  (define @t21 () (tptp.ssList @t1))
% 72.42/72.66  (define @t22 () (tptp.app @t12 @t1))
% 72.42/72.66  (define @t23 () (tptp.rearsegP @t2 @t1))
% 72.42/72.66  (define @t24 () (tptp.segmentP @t2 @t1))
% 72.42/72.66  (define @t25 () (tptp.leq @t12 @t1))
% 72.42/72.66  (define @t26 () (tptp.leq @t1 @t12))
% 72.42/72.66  (define @t27 () (@var "Z" $$unsorted))
% 72.42/72.66  (define @t28 () (@var "Y" $$unsorted))
% 72.42/72.66  (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2))
% 72.42/72.66  (define @t30 () (tptp.ssList @t27))
% 72.42/72.66  (define @t31 () (@list @t27))
% 72.42/72.66  (define @t32 () (tptp.ssList @t28))
% 72.42/72.66  (define @t33 () (@list @t28))
% 72.42/72.66  (define @t34 () (tptp.ssItem @t12))
% 72.42/72.66  (define @t35 () (tptp.lt @t1 @t12))
% 72.42/72.66  (define @t36 () (= @t1 @t12))
% 72.42/72.66  (define @t37 () (forall @t7 (=> @t21 @t5)))
% 72.42/72.66  (define @t38 () (=> @t17 @t37))
% 72.42/72.66  (define @t39 () (forall @t9 @t38))
% 72.42/72.66  (define @t40 () (tptp.cons @t1 @t2))
% 72.42/72.66  (define @t41 () (tptp.ssList tptp.nil))
% 72.42/72.66  (define @t42 () (= @t1 @t2))
% 72.42/72.66  (define @t43 () (tptp.cons @t12 @t1))
% 72.42/72.66  (define @t44 () (and @t34 (= @t43 @t2)))
% 72.42/72.66  (define @t45 () (exists @t16 @t44))
% 72.42/72.66  (define @t46 () (and @t21 @t45))
% 72.42/72.66  (define @t47 () (exists @t7 @t46))
% 72.42/72.66  (define @t48 () (= tptp.nil @t2))
% 72.42/72.66  (define @t49 () (or @t48 @t47))
% 72.42/72.66  (define @t50 () (=> @t17 @t49))
% 72.42/72.66  (define @t51 () (forall @t9 @t50))
% 72.42/72.66  (define @t52 () (tptp.hd @t2))
% 72.42/72.66  (define @t53 () (tptp.ssItem @t52))
% 72.42/72.66  (define @t54 () (not @t48))
% 72.42/72.66  (define @t55 () (=> @t54 @t53))
% 72.42/72.66  (define @t56 () (=> @t17 @t55))
% 72.42/72.66  (define @t57 () (forall @t9 @t56))
% 72.42/72.66  (define @t58 () (tptp.tl @t2))
% 72.42/72.66  (define @t59 () (tptp.tl @t40))
% 72.42/72.66  (define @t60 () (=> @t6 (= @t59 @t2)))
% 72.42/72.66  (define @t61 () (forall @t7 @t60))
% 72.42/72.66  (define @t62 () (=> @t17 @t61))
% 72.42/72.66  (define @t63 () (forall @t9 @t62))
% 72.42/72.66  (define @t64 () (tptp.app @t2 @t1))
% 72.42/72.66  (define @t65 () (tptp.app @t1 @t2))
% 72.42/72.66  (define @t66 () (tptp.leq @t1 @t2))
% 72.42/72.66  (define @t67 () (tptp.leq @t2 @t1))
% 72.42/72.66  (define @t68 () (tptp.geq @t2 @t1))
% 72.42/72.66  (define @t69 () (tptp.lt @t1 @t2))
% 72.42/72.66  (define @t70 () (tptp.lt @t2 @t1))
% 72.42/72.66  (define @t71 () (tptp.lt @t2 @t12))
% 72.42/72.66  (define @t72 () (tptp.gt @t2 @t1))
% 72.42/72.66  (define @t73 () (tptp.memberP @t12 @t2))
% 72.42/72.66  (define @t74 () (tptp.app @t12 @t2))
% 72.42/72.66  (define @t75 () (tptp.cons @t2 tptp.nil))
% 72.42/72.66  (define @t76 () (tptp.hd @t1))
% 72.42/72.66  (define @t77 () (= tptp.nil @t1))
% 72.42/72.66  (define @t78 () (not @t77))
% 72.42/72.66  (define @t79 () (tptp.cons @t2 @t1))
% 72.42/72.66  (define @t80 () (tptp.cons @t52 @t58))
% 72.42/72.66  (define @t81 () (=> @t54 (= @t80 @t2)))
% 72.42/72.66  (define @t82 () (=> @t17 @t81))
% 72.42/72.66  (define @t83 () (forall @t9 @t82))
% 72.42/72.66  (define @t84 () (= @t12 @t2))
% 72.42/72.66  (define @t85 () (= @t40 (tptp.app @t18 @t2)))
% 72.42/72.66  (define @t86 () (forall @t7 (=> @t6 @t85)))
% 72.42/72.66  (define @t87 () (=> @t17 @t86))
% 72.42/72.66  (define @t88 () (forall @t9 @t87))
% 72.42/72.66  (define @t89 () (@var "X1" $$unsorted))
% 72.42/72.66  (define @t90 () (tptp.cons @t89 tptp.nil))
% 72.42/72.66  (define @t91 () (@var "X2" $$unsorted))
% 72.42/72.66  (define @t92 () (tptp.app @t91 @t90))
% 72.42/72.66  (define @t93 () (tptp.app @t90 @t91))
% 72.42/72.66  (define @t94 () (tptp.ssList @t91))
% 72.42/72.66  (define @t95 () (and @t94 (= @t93 @t1) (= @t92 @t2)))
% 72.42/72.66  (define @t96 () (@list @t91))
% 72.42/72.66  (define @t97 () (exists @t96 @t95))
% 72.42/72.66  (define @t98 () (tptp.ssItem @t89))
% 72.42/72.66  (define @t99 () (and @t98 @t97))
% 72.42/72.66  (define @t100 () (@list @t89))
% 72.42/72.66  (define @t101 () (exists @t100 @t99))
% 72.42/72.66  (define @t102 () (not (tptp.neq @t1 tptp.nil)))
% 72.42/72.66  (define @t103 () (or @t102 @t101))
% 72.42/72.66  (define @t104 () (or @t78 @t48))
% 72.42/72.66  (define @t105 () (and @t104 @t103))
% 72.42/72.66  (define @t106 () (not (= tptp.nil @t12)))
% 72.42/72.66  (define @t107 () (and @t106 (= tptp.nil @t10)))
% 72.42/72.66  (define @t108 () (tptp.cons @t28 tptp.nil))
% 72.42/72.66  (define @t109 () (tptp.app @t108 @t27))
% 72.42/72.66  (define @t110 () (tptp.app @t27 @t108))
% 72.42/72.66  (define @t111 () (not (= @t110 @t12)))
% 72.42/72.66  (define @t112 () (and @t30 @t111 (= @t109 @t10)))
% 72.42/72.66  (define @t113 () (exists @t31 @t112))
% 72.42/72.66  (define @t114 () (tptp.ssItem @t28))
% 72.42/72.66  (define @t115 () (and @t114 @t113))
% 72.42/72.66  (define @t116 () (exists @t33 @t115))
% 72.42/72.66  (define @t117 () (not (= @t2 @t12)))
% 72.42/72.66  (define @t118 () (not (= @t1 @t10)))
% 72.42/72.66  (define @t119 () (or @t118 @t117 @t116 @t107 @t105))
% 72.42/72.66  (define @t120 () (=> @t13 @t119))
% 72.42/72.66  (define @t121 () (forall @t14 @t120))
% 72.42/72.66  (define @t122 () (=> @t15 @t121))
% 72.42/72.66  (define @t123 () (forall @t16 @t122))
% 72.42/72.66  (define @t124 () (=> @t21 @t123))
% 72.42/72.66  (define @t125 () (forall @t7 @t124))
% 72.42/72.66  (define @t126 () (=> @t17 @t125))
% 72.42/72.66  (define @t127 () (forall @t9 @t126))
% 72.42/72.66  (define @t128 () (not @t127))
% 72.42/72.66  (define @t129 () (= @t2 tptp.nil))
% 72.42/72.66  (define @t130 () (not @t17))
% 72.42/72.66  (define @t131 () (or @t130 @t129 @t53))
% 72.42/72.66  (define @t132 () (not @t129))
% 72.42/72.66  (define @t133 () (not @t132))
% 72.42/72.66  (define @t134 () (=> @t132 @t53))
% 72.42/72.66  (define @t135 () (@var "BOUND_VARIABLE_11074" $$unsorted))
% 72.42/72.66  (define @t136 () (= tptp.nil @t135))
% 72.42/72.66  (define @t137 () (@var "BOUND_VARIABLE_10965" $$unsorted))
% 72.42/72.66  (define @t138 () (tptp.app @t108 @t137))
% 72.42/72.66  (define @t139 () (tptp.app @t137 @t108))
% 72.42/72.66  (define @t140 () (= @t2 @t139))
% 72.42/72.66  (define @t141 () (not (tptp.ssList @t137)))
% 72.42/72.66  (define @t142 () (not @t114))
% 72.42/72.66  (define @t143 () (@list @t28 @t137))
% 72.42/72.66  (define @t144 () (@var "BOUND_VARIABLE_11007" $$unsorted))
% 72.42/72.66  (define @t145 () (tptp.app @t144 @t90))
% 72.42/72.66  (define @t146 () (not (= @t2 @t145)))
% 72.42/72.66  (define @t147 () (tptp.app @t90 @t144))
% 72.42/72.66  (define @t148 () (not (tptp.ssList @t144)))
% 72.42/72.66  (define @t149 () (not @t98))
% 72.42/72.66  (define @t150 () (@list @t89 @t144))
% 72.42/72.66  (define @t151 () (not (tptp.neq @t135 tptp.nil)))
% 72.42/72.66  (define @t152 () (not (tptp.ssList @t135)))
% 72.42/72.66  (define @t153 () (@list @t2 @t135))
% 72.42/72.66  (define @t154 () (forall @t153 (or @t130 @t152 (and (or (not @t136) @t129) (or @t151 (not (forall @t150 (or @t149 @t148 (not (= @t147 @t135)) @t146))))) (not (forall @t143 (or @t142 @t141 @t140 (not (= @t138 @t135))))) (and @t132 @t136))))
% 72.42/72.66  (define @t155 () (@quantifiers_skolemize @t154 1))
% 72.42/72.66  (define @t156 () (tptp.hd @t155))
% 72.42/72.66  (define @t157 () (tptp.ssItem @t156))
% 72.42/72.66  (define @t158 () (tptp.ssList @t155))
% 72.42/72.66  (define @t159 () (not @t158))
% 72.42/72.66  (define @t160 () (= @t155 tptp.nil))
% 72.42/72.66  (define @t161 () (or @t159 @t160 @t157))
% 72.42/72.66  (define @t162 () (forall @t9 @t131))
% 72.42/72.66  (define @t163 () (@list @t155))
% 72.42/72.66  (define @t164 () (= tptp.nil @t155))
% 72.42/72.66  (define @t165 () (or @t159 @t164 @t157))
% 72.42/72.66  (define @t166 () (@list false))
% 72.42/72.66  (define @t167 () (= @t135 tptp.nil))
% 72.42/72.66  (define @t168 () (and @t132 @t167))
% 72.42/72.66  (define @t169 () (not (= @t135 @t138)))
% 72.42/72.66  (define @t170 () (or @t142 @t141 @t140 @t169))
% 72.42/72.66  (define @t171 () (forall @t143 @t170))
% 72.42/72.66  (define @t172 () (not @t171))
% 72.42/72.66  (define @t173 () (not (= @t135 @t147)))
% 72.42/72.66  (define @t174 () (or @t149 @t148 @t173 @t146))
% 72.42/72.66  (define @t175 () (forall @t150 @t174))
% 72.42/72.66  (define @t176 () (not @t175))
% 72.42/72.66  (define @t177 () (or @t151 @t176))
% 72.42/72.66  (define @t178 () (not @t167))
% 72.42/72.66  (define @t179 () (or @t178 @t129))
% 72.42/72.66  (define @t180 () (and @t179 @t177))
% 72.42/72.66  (define @t181 () (or @t130 @t152 @t180 @t172 @t168))
% 72.42/72.66  (define @t182 () (or @t152 @t180 @t172 @t168))
% 72.42/72.66  (define @t183 () (or @t130 @t182))
% 72.42/72.66  (define @t184 () (forall @t153 @t183))
% 72.42/72.66  (define @t185 () (@list @t135))
% 72.42/72.66  (define @t186 () (forall @t185 @t183))
% 72.42/72.66  (define @t187 () (forall @t185 @t182))
% 72.42/72.66  (define @t188 () (@list @t1))
% 72.42/72.66  (define @t189 () (or @t130 @t187))
% 72.42/72.66  (define @t190 () (= @t1 tptp.nil))
% 72.42/72.66  (define @t191 () (and @t132 @t190))
% 72.42/72.66  (define @t192 () (not (= @t1 @t138)))
% 72.42/72.66  (define @t193 () (not (forall @t143 (or @t142 @t141 @t140 @t192))))
% 72.42/72.66  (define @t194 () (not (= @t1 @t147)))
% 72.42/72.66  (define @t195 () (or @t149 @t148 @t194 @t146))
% 72.42/72.66  (define @t196 () (and (or (not @t190) @t129) (or @t102 (not (forall @t150 @t195)))))
% 72.42/72.66  (define @t197 () (not @t21))
% 72.42/72.66  (define @t198 () (or @t197 @t196 @t193 @t191))
% 72.42/72.66  (define @t199 () (or @t130 (forall @t7 @t198)))
% 72.42/72.66  (define @t200 () (or @t130 @t198))
% 72.42/72.66  (define @t201 () (or @t197 @t196 @t130 @t193 @t191))
% 72.42/72.66  (define @t202 () (or @t196 @t197 @t130 @t193 @t191))
% 72.42/72.66  (define @t203 () (or @t130 @t193 @t191))
% 72.42/72.66  (define @t204 () (not (= @t2 @t2)))
% 72.42/72.66  (define @t205 () (or @t130 @t204 @t193 @t191))
% 72.42/72.66  (define @t206 () (not (= @t12 tptp.nil)))
% 72.42/72.66  (define @t207 () (and @t206 @t190))
% 72.42/72.66  (define @t208 () (= @t12 @t139))
% 72.42/72.66  (define @t209 () (not (forall @t143 (or @t142 @t141 @t208 @t192))))
% 72.42/72.66  (define @t210 () (not @t15))
% 72.42/72.66  (define @t211 () (or @t117 @t210 @t117 @t209 @t207))
% 72.42/72.66  (define @t212 () (or @t210 @t117 @t209 @t207))
% 72.42/72.66  (define @t213 () (forall @t16 @t212))
% 72.42/72.66  (define @t214 () (or @t196 @t197 @t213))
% 72.42/72.66  (define @t215 () (or @t196 @t197 @t212))
% 72.42/72.66  (define @t216 () (or @t210 @t117 @t196 @t197 @t209 @t207))
% 72.42/72.66  (define @t217 () (or @t117 @t196 @t197 @t209 @t207))
% 72.42/72.66  (define @t218 () (or @t197 @t209 @t207))
% 72.42/72.66  (define @t219 () (not (= @t1 @t1)))
% 72.42/72.66  (define @t220 () (or @t197 @t219 @t209 @t207))
% 72.42/72.66  (define @t221 () (and @t206 (= @t10 tptp.nil)))
% 72.42/72.66  (define @t222 () (not (= @t10 @t138)))
% 72.42/72.66  (define @t223 () (or @t142 @t141 @t208 @t222))
% 72.42/72.66  (define @t224 () (not (forall @t143 @t223)))
% 72.42/72.66  (define @t225 () (not @t13))
% 72.42/72.66  (define @t226 () (or @t118 @t225 @t118 @t224 @t221))
% 72.42/72.66  (define @t227 () (or @t225 @t118 @t224 @t221))
% 72.42/72.66  (define @t228 () (forall @t14 @t227))
% 72.42/72.66  (define @t229 () (or @t117 @t196 @t228))
% 72.42/72.66  (define @t230 () (or @t117 @t196 @t227))
% 72.42/72.66  (define @t231 () (or @t225 @t118 @t117 @t224 @t221 @t196))
% 72.42/72.66  (define @t232 () (or @t118 @t117 @t224 @t221 @t196))
% 72.42/72.66  (define @t233 () (or @t148 @t194 @t146))
% 72.42/72.66  (define @t234 () (or @t149 @t233))
% 72.42/72.66  (define @t235 () (forall @t150 @t234))
% 72.42/72.66  (define @t236 () (@list @t144))
% 72.42/72.66  (define @t237 () (forall @t236 @t234))
% 72.42/72.66  (define @t238 () (forall @t236 @t233))
% 72.42/72.66  (define @t239 () (or @t149 @t238))
% 72.42/72.66  (define @t240 () (= @t2 @t92))
% 72.42/72.66  (define @t241 () (not @t240))
% 72.42/72.66  (define @t242 () (= @t1 @t93))
% 72.42/72.66  (define @t243 () (not @t242))
% 72.42/72.66  (define @t244 () (not @t94))
% 72.42/72.66  (define @t245 () (or @t244 @t243 @t241))
% 72.42/72.66  (define @t246 () (forall @t96 @t245))
% 72.42/72.66  (define @t247 () (not @t246))
% 72.42/72.66  (define @t248 () (and @t98 @t247))
% 72.42/72.66  (define @t249 () (forall @t100 (not @t248)))
% 72.42/72.66  (define @t250 () (not @t249))
% 72.42/72.66  (define @t251 () (and @t94 @t242 @t240))
% 72.42/72.66  (define @t252 () (forall @t96 (not @t251)))
% 72.42/72.66  (define @t253 () (not @t252))
% 72.42/72.66  (define @t254 () (or @t141 @t208 @t222))
% 72.42/72.66  (define @t255 () (or @t142 @t254))
% 72.42/72.66  (define @t256 () (forall @t143 @t255))
% 72.42/72.66  (define @t257 () (@list @t137))
% 72.42/72.66  (define @t258 () (forall @t257 @t255))
% 72.42/72.66  (define @t259 () (forall @t257 @t254))
% 72.42/72.66  (define @t260 () (or @t142 @t259))
% 72.42/72.66  (define @t261 () (= @t10 @t109))
% 72.42/72.66  (define @t262 () (not @t261))
% 72.42/72.66  (define @t263 () (= @t12 @t110))
% 72.42/72.66  (define @t264 () (not @t30))
% 72.42/72.66  (define @t265 () (forall @t31 (or @t264 @t263 @t262)))
% 72.42/72.66  (define @t266 () (not @t265))
% 72.42/72.66  (define @t267 () (and @t114 @t266))
% 72.42/72.66  (define @t268 () (forall @t33 (not @t267)))
% 72.42/72.66  (define @t269 () (not @t268))
% 72.42/72.66  (define @t270 () (not @t263))
% 72.42/72.66  (define @t271 () (not @t270))
% 72.42/72.66  (define @t272 () (or @t264 @t271 @t262))
% 72.42/72.66  (define @t273 () (and @t30 @t270 @t261))
% 72.42/72.66  (define @t274 () (forall @t31 (not @t273)))
% 72.42/72.66  (define @t275 () (not @t274))
% 72.42/72.66  (define @t276 () (@quantifiers_skolemize @t154 0))
% 72.42/72.66  (define @t277 () (= tptp.nil @t276))
% 72.42/72.66  (define @t278 () (not @t277))
% 72.42/72.66  (define @t279 () (and @t278 @t164))
% 72.42/72.66  (define @t280 () (not (= @t138 @t155)))
% 72.42/72.66  (define @t281 () (forall @t143 (or @t142 @t141 (= @t139 @t276) @t280)))
% 72.42/72.66  (define @t282 () (not @t281))
% 72.42/72.66  (define @t283 () (not (= @t147 @t155)))
% 72.42/72.66  (define @t284 () (forall @t150 (or @t149 @t148 @t283 (not (= @t145 @t276)))))
% 72.42/72.66  (define @t285 () (not @t284))
% 72.42/72.66  (define @t286 () (tptp.neq @t155 tptp.nil))
% 72.42/72.66  (define @t287 () (not @t286))
% 72.42/72.66  (define @t288 () (or @t287 @t285))
% 72.42/72.66  (define @t289 () (not @t164))
% 72.42/72.66  (define @t290 () (or @t289 @t277))
% 72.42/72.66  (define @t291 () (and @t290 @t288))
% 72.42/72.66  (define @t292 () (not (tptp.ssList @t276)))
% 72.42/72.66  (define @t293 () (or @t292 @t159 @t291 @t282 @t279))
% 72.42/72.66  (define @t294 () (not @t293))
% 72.42/72.66  (define @t295 () (not @t154))
% 72.42/72.66  (define @t296 () (= @t276 tptp.nil))
% 72.42/72.66  (define @t297 () (not @t296))
% 72.42/72.66  (define @t298 () (and @t297 @t164))
% 72.42/72.66  (define @t299 () (or @t142 @t141 (= @t276 @t139) @t280))
% 72.42/72.66  (define @t300 () (forall @t143 @t299))
% 72.42/72.66  (define @t301 () (not @t300))
% 72.42/72.66  (define @t302 () (not (= @t276 @t145)))
% 72.42/72.66  (define @t303 () (or @t149 @t148 @t283 @t302))
% 72.42/72.66  (define @t304 () (forall @t150 @t303))
% 72.42/72.66  (define @t305 () (not @t304))
% 72.42/72.66  (define @t306 () (or @t287 @t305))
% 72.42/72.66  (define @t307 () (or @t289 @t296))
% 72.42/72.66  (define @t308 () (and @t307 @t306))
% 72.42/72.66  (define @t309 () (or @t292 @t159 @t308 @t301 @t298))
% 72.42/72.66  (define @t310 () (not @t309))
% 72.42/72.66  (define @t311 () (@list true))
% 72.42/72.66  (define @t312 () (@list @t293))
% 72.42/72.66  (define @t313 () (@var "BOUND_VARIABLE_9122" $$unsorted))
% 72.42/72.66  (define @t314 () (= (tptp.neq @t2 @t313) (not (= @t2 @t313))))
% 72.42/72.66  (define @t315 () (not (tptp.ssList @t313)))
% 72.42/72.66  (define @t316 () (or @t130 @t315 @t314))
% 72.42/72.66  (define @t317 () (or @t315 @t314))
% 72.42/72.66  (define @t318 () (or @t130 @t317))
% 72.42/72.66  (define @t319 () (@list @t2 @t313))
% 72.42/72.66  (define @t320 () (forall @t319 @t318))
% 72.42/72.66  (define @t321 () (@list @t313))
% 72.42/72.66  (define @t322 () (forall @t321 @t318))
% 72.42/72.66  (define @t323 () (forall @t321 @t317))
% 72.42/72.66  (define @t324 () (or @t130 @t323))
% 72.42/72.66  (define @t325 () (forall @t7 (or @t197 @t5)))
% 72.42/72.66  (define @t326 () (tptp.neq tptp.nil tptp.nil))
% 72.42/72.66  (define @t327 () (not (= tptp.nil tptp.nil)))
% 72.42/72.66  (define @t328 () (= @t326 @t327))
% 72.42/72.66  (define @t329 () (not @t41))
% 72.42/72.66  (define @t330 () (or @t329 @t329 @t328))
% 72.42/72.66  (define @t331 () (forall @t319 @t316))
% 72.42/72.66  (define @t332 () (not @t326))
% 72.42/72.66  (define @t333 () (or @t329 @t329 @t332))
% 72.42/72.66  (define @t334 () (@list false false))
% 72.42/72.66  (define @t335 () (and @t164 @t332))
% 72.42/72.66  (define @t336 () (@list false true false))
% 72.42/72.66  (define @t337 () (@var "BOUND_VARIABLE_9367" $$unsorted))
% 72.42/72.66  (define @t338 () (= @t2 (tptp.tl (tptp.cons @t337 @t2))))
% 72.42/72.66  (define @t339 () (not (tptp.ssItem @t337)))
% 72.42/72.66  (define @t340 () (or @t339 @t338))
% 72.42/72.66  (define @t341 () (or @t130 @t340))
% 72.42/72.66  (define @t342 () (forall (@list @t2 @t337) @t341))
% 72.42/72.66  (define @t343 () (@list @t337))
% 72.42/72.66  (define @t344 () (forall @t343 @t341))
% 72.42/72.66  (define @t345 () (forall @t343 @t340))
% 72.42/72.66  (define @t346 () (or @t130 @t345))
% 72.42/72.66  (define @t347 () (= @t2 @t59))
% 72.42/72.66  (define @t348 () (not @t6))
% 72.42/72.66  (define @t349 () (forall @t7 (or @t348 @t347)))
% 72.42/72.66  (define @t350 () (@var "BOUND_VARIABLE_9280" $$unsorted))
% 72.42/72.66  (define @t351 () (tptp.cons @t350 @t1))
% 72.42/72.66  (define @t352 () (not (tptp.ssItem @t350)))
% 72.42/72.66  (define @t353 () (@list @t1 @t350))
% 72.42/72.66  (define @t354 () (forall @t353 (or @t197 @t352 (not (= @t351 @t155)))))
% 72.42/72.66  (define @t355 () (@quantifiers_skolemize @t354 1))
% 72.42/72.66  (define @t356 () (@quantifiers_skolemize @t354 0))
% 72.42/72.66  (define @t357 () (not (= @t2 @t351)))
% 72.42/72.66  (define @t358 () (or @t197 @t352 @t357))
% 72.42/72.66  (define @t359 () (not (forall @t353 @t358)))
% 72.42/72.66  (define @t360 () (or @t130 @t129 @t359))
% 72.42/72.66  (define @t361 () (or @t129 @t359))
% 72.42/72.66  (define @t362 () (or @t352 @t357))
% 72.42/72.66  (define @t363 () (or @t197 @t362))
% 72.42/72.66  (define @t364 () (forall @t353 @t363))
% 72.42/72.66  (define @t365 () (@list @t350))
% 72.42/72.66  (define @t366 () (forall @t365 @t363))
% 72.42/72.66  (define @t367 () (forall @t365 @t362))
% 72.42/72.66  (define @t368 () (or @t197 @t367))
% 72.42/72.66  (define @t369 () (= @t2 @t43))
% 72.42/72.66  (define @t370 () (forall @t16 (or (not @t34) (not @t369))))
% 72.42/72.66  (define @t371 () (not @t370))
% 72.42/72.66  (define @t372 () (and @t21 @t371))
% 72.42/72.66  (define @t373 () (forall @t7 (not @t372)))
% 72.42/72.66  (define @t374 () (not @t373))
% 72.42/72.66  (define @t375 () (and @t34 @t369))
% 72.42/72.66  (define @t376 () (forall @t16 (not @t375)))
% 72.42/72.66  (define @t377 () (not @t376))
% 72.42/72.66  (define @t378 () (not (= @t155 @t351)))
% 72.42/72.66  (define @t379 () (or @t197 @t352 @t378))
% 72.42/72.66  (define @t380 () (forall @t353 @t379))
% 72.42/72.66  (define @t381 () (not @t380))
% 72.42/72.66  (define @t382 () (or @t159 @t160 @t381))
% 72.42/72.66  (define @t383 () (forall @t9 @t360))
% 72.42/72.66  (define @t384 () (not @t354))
% 72.42/72.66  (define @t385 () (or @t159 @t164 @t384))
% 72.42/72.66  (define @t386 () (tptp.cons @t355 @t356))
% 72.42/72.66  (define @t387 () (= @t155 @t386))
% 72.42/72.66  (define @t388 () (not @t387))
% 72.42/72.66  (define @t389 () (tptp.ssItem @t355))
% 72.42/72.66  (define @t390 () (not @t389))
% 72.42/72.66  (define @t391 () (tptp.ssList @t356))
% 72.42/72.66  (define @t392 () (not @t391))
% 72.42/72.66  (define @t393 () (or @t392 @t390 @t388))
% 72.42/72.66  (define @t394 () (not @t393))
% 72.42/72.66  (define @t395 () (not (= @t386 @t155)))
% 72.42/72.66  (define @t396 () (or @t392 @t390 @t395))
% 72.42/72.66  (define @t397 () (not @t396))
% 72.42/72.66  (define @t398 () (@list @t393))
% 72.42/72.66  (define @t399 () (= @t356 (tptp.tl @t386)))
% 72.42/72.66  (define @t400 () (or @t392 @t390 @t399))
% 72.42/72.66  (define @t401 () (@list false false false))
% 72.42/72.66  (define @t402 () (tptp.tl @t155))
% 72.42/72.66  (define @t403 () (tptp.ssList @t402))
% 72.42/72.66  (define @t404 () (and @t391 @t387 @t399))
% 72.42/72.66  (define @t405 () (tptp.cons @t156 tptp.nil))
% 72.42/72.66  (define @t406 () (tptp.app @t402 @t405))
% 72.42/72.66  (define @t407 () (= @t406 @t276))
% 72.42/72.66  (define @t408 () (not @t407))
% 72.42/72.66  (define @t409 () (tptp.app @t405 @t402))
% 72.42/72.66  (define @t410 () (not (= @t409 @t155)))
% 72.42/72.66  (define @t411 () (not @t403))
% 72.42/72.66  (define @t412 () (not @t157))
% 72.42/72.66  (define @t413 () (or @t412 @t411 @t410 @t408))
% 72.42/72.66  (define @t414 () (@list @t156 @t402))
% 72.42/72.66  (define @t415 () (= @t276 @t406))
% 72.42/72.66  (define @t416 () (not @t415))
% 72.42/72.66  (define @t417 () (= @t155 @t409))
% 72.42/72.66  (define @t418 () (not @t417))
% 72.42/72.66  (define @t419 () (or @t412 @t411 @t418 @t416))
% 72.42/72.66  (define @t420 () (@var "BOUND_VARIABLE_10546" $$unsorted))
% 72.42/72.66  (define @t421 () (= (tptp.cons @t420 @t2) (tptp.app (tptp.cons @t420 tptp.nil) @t2)))
% 72.42/72.66  (define @t422 () (not (tptp.ssItem @t420)))
% 72.42/72.66  (define @t423 () (or @t422 @t421))
% 72.42/72.66  (define @t424 () (or @t130 @t423))
% 72.42/72.66  (define @t425 () (forall (@list @t2 @t420) @t424))
% 72.42/72.66  (define @t426 () (@list @t420))
% 72.42/72.66  (define @t427 () (forall @t426 @t424))
% 72.42/72.66  (define @t428 () (forall @t426 @t423))
% 72.42/72.66  (define @t429 () (or @t130 @t428))
% 72.42/72.66  (define @t430 () (forall @t7 (or @t348 @t85)))
% 72.42/72.66  (define @t431 () (tptp.cons @t156 @t402))
% 72.42/72.66  (define @t432 () (= @t431 @t409))
% 72.42/72.66  (define @t433 () (or @t411 @t412 @t432))
% 72.42/72.66  (define @t434 () (= @t2 @t80))
% 72.42/72.66  (define @t435 () (or @t130 @t129 @t434))
% 72.42/72.66  (define @t436 () (=> @t132 @t434))
% 72.42/72.66  (define @t437 () (= @t155 @t431))
% 72.42/72.66  (define @t438 () (or @t159 @t160 @t437))
% 72.42/72.66  (define @t439 () (forall @t9 @t435))
% 72.42/72.66  (define @t440 () (or @t159 @t164 @t437))
% 72.42/72.66  (define @t441 () (and @t437 @t432))
% 72.42/72.66  (define @t442 () (or @t412 @t411 @t407 @t410))
% 72.42/72.66  (define @t443 () (or @t412 @t411 @t415 @t418))
% 72.42/72.66  (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5)))))
% 72.42/72.66  (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4)))))
% 72.42/72.66  (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)))))))))))
% 72.42/72.66  (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2)))))))
% 72.42/72.66  (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2)))))))))
% 72.42/72.66  (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2)))))))))
% 72.42/72.66  (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2)))))))))))
% 72.42/72.66  (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)))))))))))))))))
% 72.42/72.66  (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))))))))))))))))
% 72.42/72.66  (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)))))))))))))))))
% 72.42/72.66  (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)))))))))))))))
% 72.42/72.66  (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)))))))))))))))
% 72.42/72.66  (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))))))))))))))))
% 72.42/72.66  (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)))))))))))))
% 72.42/72.66  (assume @p15 @t39)
% 72.42/72.66  (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t40))))))
% 72.42/72.66  (assume @p17 @t41)
% 72.42/72.66  (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2)))))))
% 72.42/72.66  (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)))))))))))
% 72.42/72.66  (assume @p20 @t51)
% 72.42/72.66  (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40)))))))
% 72.42/72.66  (assume @p22 @t57)
% 72.42/72.66  (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1))))))
% 72.42/72.66  (assume @p24 (forall @t9 (=> @t17 (=> @t54 (tptp.ssList @t58)))))
% 72.42/72.66  (assume @p25 @t63)
% 72.42/72.66  (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t64))))))
% 72.42/72.66  (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t65) (tptp.app @t43 @t2)))))))))
% 72.42/72.66  (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2))))
% 72.42/72.66  (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t67 @t66) @t3))))))
% 72.42/72.66  (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t67 @t26) (tptp.leq @t2 @t12)))))))))
% 72.42/72.66  (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2))))
% 72.42/72.66  (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t68 @t66))))))
% 72.42/72.66  (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t70 (not @t69)))))))
% 72.42/72.66  (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t70 @t35) @t71))))))))
% 72.42/72.66  (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t72 @t69))))))
% 72.42/72.66  (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t73)))))))))
% 72.42/72.66  (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t73)))))))))
% 72.42/72.66  (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2)))))
% 72.42/72.66  (assume @p39 (not (tptp.singletonP tptp.nil)))
% 72.42/72.66  (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12)))))))))
% 72.42/72.66  (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3))))))
% 72.42/72.66  (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2))))
% 72.42/72.66  (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1)))))))))
% 72.42/72.66  (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))))))))))))
% 72.42/72.66  (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil))))
% 72.42/72.66  (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t48))))
% 72.42/72.66  (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12)))))))))
% 72.42/72.66  (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3))))))
% 72.42/72.66  (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2))))
% 72.42/72.66  (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t74 @t1)))))))))
% 72.42/72.66  (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil))))
% 72.42/72.66  (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t48))))
% 72.42/72.66  (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12)))))))))
% 72.42/72.66  (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3))))))
% 72.42/72.66  (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2))))
% 72.42/72.66  (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t74 @t10) @t1)))))))))))
% 72.42/72.66  (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil))))
% 72.42/72.66  (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t48))))
% 72.42/72.66  (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t75))))
% 72.42/72.66  (assume @p60 (tptp.cyclefreeP tptp.nil))
% 72.42/72.66  (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t75))))
% 72.42/72.66  (assume @p62 (tptp.totalorderP tptp.nil))
% 72.42/72.66  (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t75))))
% 72.42/72.66  (assume @p64 (tptp.strictorderP tptp.nil))
% 72.42/72.66  (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t75))))
% 72.42/72.66  (assume @p66 (tptp.totalorderedP tptp.nil))
% 72.42/72.66  (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t79) (or @t77 (and @t78 (tptp.totalorderedP @t1) (tptp.leq @t2 @t76)))))))))
% 72.42/72.66  (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t75))))
% 72.42/72.66  (assume @p69 (tptp.strictorderedP tptp.nil))
% 72.42/72.66  (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t79) (or @t77 (and @t78 (tptp.strictorderedP @t1) (tptp.lt @t2 @t76)))))))))
% 72.42/72.66  (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t75))))
% 72.42/72.66  (assume @p72 (tptp.duplicatefreeP tptp.nil))
% 72.42/72.66  (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t75))))
% 72.42/72.66  (assume @p74 (tptp.equalelemsP tptp.nil))
% 72.42/72.66  (assume @p75 (forall @t9 (=> @t17 (=> @t54 (exists @t7 (and @t6 (= @t52 @t1)))))))
% 72.42/72.66  (assume @p76 (forall @t9 (=> @t17 (=> @t54 (exists @t7 (and @t21 (= @t58 @t1)))))))
% 72.42/72.66  (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t78 @t54 (= @t76 @t52) (= (tptp.tl @t1) @t58)) @t42))))))
% 72.42/72.66  (assume @p78 @t83)
% 72.42/72.66  (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t64) @t84))))))))
% 72.42/72.66  (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t65) @t84))))))))
% 72.42/72.66  (assume @p81 @t88)
% 72.42/72.66  (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t64 @t12) (tptp.app @t2 @t19)))))))))
% 72.42/72.66  (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t64) (and @t77 @t48)))))))
% 72.42/72.66  (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2))))
% 72.42/72.66  (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t54 (= (tptp.hd @t64) @t52)))))))
% 72.42/72.66  (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t54 (= (tptp.tl @t64) (tptp.app @t58 @t1))))))))
% 72.42/72.66  (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t68 (tptp.geq @t1 @t2)) @t3))))))
% 72.42/72.66  (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t68 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12)))))))))
% 72.42/72.66  (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2))))
% 72.42/72.66  (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2)))))
% 72.42/72.66  (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t67 @t35) @t71))))))))
% 72.42/72.66  (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t67 (or @t3 @t70)))))))
% 72.42/72.66  (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t70 (and @t4 @t67)))))))
% 72.42/72.66  (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t72 (not (tptp.gt @t1 @t2))))))))
% 72.42/72.66  (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t72 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12)))))))))
% 72.42/72.66  (assume @p96 @t128)
% 72.42/72.66  (assume @p97 true)
% 72.42/72.66  (step @p98 :rule aci_norm :args ((= (or @t130 (or @t129 @t53)) @t131)))
% 72.42/72.66  (step @p99 :rule refl :args (@t53))
% 72.42/72.66  (step @p100 :rule bool-double-not-elim :args (@t129))
% 72.42/72.66  (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t133 @t53)))
% 72.42/72.66  (step @p102 :rule bool-impl-elim :args (@t132 @t53))
% 72.42/72.66  (step @p103 :rule trans :premises (@p102 @p101))
% 72.42/72.66  (step @p104 :rule refl :args (@t130))
% 72.42/72.66  (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t130 @t134)))
% 72.42/72.66  (step @p106 :rule trans :premises (@p105 @p98))
% 72.42/72.66  (step @p107 :rule bool-impl-elim :args (@t17 @t134))
% 72.42/72.66  (step @p108 :rule trans :premises (@p107 @p106))
% 72.42/72.66  (step @p109 :rule cong :premises (@p108) :args ((forall @t9 (=> @t17 @t134))))
% 72.42/72.66  (step @p110 :rule refl :args (@t53))
% 72.42/72.66  (step @p111 :rule eq-symm :args (tptp.nil @t2))
% 72.42/72.66  (step @p112 :rule cong :premises (@p111) :args (@t54))
% 72.42/72.66  (step @p113 :rule cong :premises (@p112 @p110) :args (@t55))
% 72.42/72.66  (step @p114 :rule refl :args (@t17))
% 72.42/72.66  (step @p115 :rule cong :premises (@p114 @p113) :args (@t56))
% 72.42/72.66  (step @p116 :rule cong :premises (@p115) :args (@t57))
% 72.42/72.66  (step @p117 :rule trans :premises (@p116 @p109))
% 72.42/72.66  (step @p118 :rule eq_resolve :premises (@p22 @p117))
% 72.42/72.66  (step @p119 :rule refl :args (@t157))
% 72.42/72.66  (step @p120 :rule eq-symm :args (@t155 tptp.nil))
% 72.42/72.66  (step @p121 :rule refl :args (@t159))
% 72.42/72.66  (step @p122 :rule nary_cong :premises (@p121 @p120 @p119) :args (@t161))
% 72.42/72.66  (step @p123 :rule refl :args (@t162))
% 72.42/72.66  (step @p124 :rule cong :premises (@p123 @p122) :args ((=> @t162 @t161)))
% 72.42/72.66  (assume-push @p787 @t162)
% 72.42/72.66  (step @p126 :rule instantiate :premises (@p118) :args (@t163))
% 72.42/72.66  (step-pop @p788 :rule scope :premises (@p126))
% 72.42/72.66  (step @p127 :rule process_scope :premises (@p788) :args (@t161))
% 72.42/72.66  (step @p129 :rule eq_resolve :premises (@p127 @p124))
% 72.42/72.66  (step @p130 :rule implies_elim :premises (@p129))
% 72.42/72.66  (step @p131 :rule chain_m_resolution :premises (@p130 @p118) :args (@t165 @t166 (@list @t162)))
% 72.42/72.66  (step @p132 :rule eq-symm :args (@t135 tptp.nil))
% 72.42/72.66  (step @p133 :rule refl :args (@t132))
% 72.42/72.66  (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t168))
% 72.42/72.66  (step @p135 :rule eq-symm :args (@t135 @t138))
% 72.42/72.66  (step @p136 :rule cong :premises (@p135) :args (@t169))
% 72.42/72.66  (step @p137 :rule refl :args (@t140))
% 72.42/72.66  (step @p138 :rule refl :args (@t141))
% 72.42/72.66  (step @p139 :rule refl :args (@t142))
% 72.42/72.66  (step @p140 :rule nary_cong :premises (@p139 @p138 @p137 @p136) :args (@t170))
% 72.42/72.66  (step @p141 :rule cong :premises (@p140) :args (@t171))
% 72.42/72.66  (step @p142 :rule cong :premises (@p141) :args (@t172))
% 72.42/72.66  (step @p143 :rule refl :args (@t146))
% 72.42/72.66  (step @p144 :rule eq-symm :args (@t135 @t147))
% 72.42/72.66  (step @p145 :rule cong :premises (@p144) :args (@t173))
% 72.42/72.66  (step @p146 :rule refl :args (@t148))
% 72.42/72.66  (step @p147 :rule refl :args (@t149))
% 72.42/72.66  (step @p148 :rule nary_cong :premises (@p147 @p146 @p145 @p143) :args (@t174))
% 72.42/72.66  (step @p149 :rule cong :premises (@p148) :args (@t175))
% 72.42/72.66  (step @p150 :rule cong :premises (@p149) :args (@t176))
% 72.42/72.66  (step @p151 :rule refl :args (@t151))
% 72.42/72.66  (step @p152 :rule nary_cong :premises (@p151 @p150) :args (@t177))
% 72.42/72.66  (step @p153 :rule refl :args (@t129))
% 72.42/72.66  (step @p154 :rule cong :premises (@p132) :args (@t178))
% 72.42/72.66  (step @p155 :rule nary_cong :premises (@p154 @p153) :args (@t179))
% 72.42/72.66  (step @p156 :rule nary_cong :premises (@p155 @p152) :args (@t180))
% 72.42/72.66  (step @p157 :rule refl :args (@t152))
% 72.42/72.66  (step @p158 :rule refl :args (@t130))
% 72.42/72.66  (step @p159 :rule nary_cong :premises (@p158 @p157 @p156 @p142 @p134) :args (@t181))
% 72.42/72.66  (step @p160 :rule aci_norm :args ((= @t183 @t181)))
% 72.42/72.66  (step @p161 :rule trans :premises (@p160 @p159))
% 72.42/72.66  (step @p162 :rule cong :premises (@p161) :args (@t184))
% 72.42/72.66  (step @p163 :rule quant-merge-prenex :args ((= (forall @t9 @t186) @t184)))
% 72.42/72.66  (step @p164 :rule alpha_equiv :args (@t187 (@list @t135) @t188))
% 72.42/72.66  (step @p165 :rule nary_cong :premises (@p104 @p164) :args (@t189))
% 72.42/72.66  (step @p166 :rule quant-miniscope-or :args ((= @t186 @t189)))
% 72.42/72.66  (step @p167 :rule trans :premises (@p166 @p165))
% 72.42/72.66  (step @p168 :rule symm :premises (@p167))
% 72.42/72.66  (step @p169 :rule cong :premises (@p168) :args ((forall @t9 @t199)))
% 72.42/72.66  (step @p170 :rule trans :premises (@p169 @p163))
% 72.42/72.66  (step @p171 :rule trans :premises (@p170 @p162))
% 72.42/72.66  (step @p172 :rule aci_norm :args ((= (or @t130 @t199) @t199)))
% 72.42/72.66  (step @p173 :rule bool-impl-elim :args (@t17 @t199))
% 72.42/72.66  (step @p174 :rule trans :premises (@p173 @p172))
% 72.42/72.66  (step @p175 :rule cong :premises (@p174) :args ((forall @t9 (=> @t17 @t199))))
% 72.42/72.66  (step @p176 :rule trans :premises (@p175 @p171))
% 72.42/72.66  (step @p177 :rule quant-miniscope-or :args ((= (forall @t7 @t200) @t199)))
% 72.42/72.66  (step @p178 :rule aci_norm :args ((= @t201 @t200)))
% 72.42/72.66  (step @p179 :rule cong :premises (@p178) :args ((forall @t7 @t201)))
% 72.42/72.66  (step @p180 :rule trans :premises (@p179 @p177))
% 72.42/72.66  (step @p181 :rule aci_norm :args ((= (or @t197 @t202) @t201)))
% 72.42/72.66  (step @p182 :rule bool-impl-elim :args (@t21 @t202))
% 72.42/72.66  (step @p183 :rule trans :premises (@p182 @p181))
% 72.42/72.66  (step @p184 :rule cong :premises (@p183) :args ((forall @t7 (=> @t21 @t202))))
% 72.42/72.66  (step @p185 :rule trans :premises (@p184 @p180))
% 72.42/72.66  (step @p186 :rule aci_norm :args ((= (or @t196 @t197 @t203) @t202)))
% 72.42/72.66  (step @p187 :rule aci_norm :args ((= (or @t130 false @t193 @t191) @t203)))
% 72.42/72.66  (step @p188 :rule refl :args (@t191))
% 72.42/72.66  (step @p189 :rule refl :args (@t193))
% 72.42/72.66  (step @p190 :rule evaluate :args ((not true)))
% 72.42/72.66  (step @p191 :rule eq-refl :args (@t2))
% 72.42/72.66  (step @p192 :rule cong :premises (@p191) :args (@t204))
% 72.42/72.66  (step @p193 :rule trans :premises (@p192 @p190))
% 72.42/72.66  (step @p194 :rule nary_cong :premises (@p158 @p193 @p189 @p188) :args (@t205))
% 72.42/72.66  (step @p195 :rule trans :premises (@p194 @p187))
% 72.42/72.66  (step @p196 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t84) @t210 @t117 @t209 @t207)) @t205)))
% 72.42/72.66  (step @p197 :rule refl :args (@t207))
% 72.42/72.66  (step @p198 :rule refl :args (@t209))
% 72.42/72.66  (step @p199 :rule refl :args (@t117))
% 72.42/72.66  (step @p200 :rule refl :args (@t210))
% 72.42/72.66  (step @p201 :rule eq-symm :args (@t2 @t12))
% 72.42/72.66  (step @p202 :rule cong :premises (@p201) :args (@t117))
% 72.42/72.66  (step @p203 :rule nary_cong :premises (@p202 @p200 @p199 @p198 @p197) :args (@t211))
% 72.42/72.66  (step @p204 :rule aci_norm :args ((= @t212 @t211)))
% 72.42/72.66  (step @p205 :rule trans :premises (@p204 @p203))
% 72.42/72.66  (step @p206 :rule cong :premises (@p205) :args (@t213))
% 72.42/72.66  (step @p207 :rule trans :premises (@p206 @p196))
% 72.42/72.66  (step @p208 :rule trans :premises (@p207 @p195))
% 72.42/72.66  (step @p209 :rule refl :args (@t197))
% 72.42/72.66  (step @p210 :rule refl :args (@t196))
% 72.42/72.66  (step @p211 :rule nary_cong :premises (@p210 @p209 @p208) :args (@t214))
% 72.42/72.66  (step @p212 :rule trans :premises (@p211 @p186))
% 72.42/72.66  (step @p213 :rule quant-miniscope-or :args ((= (forall @t16 @t215) @t214)))
% 72.42/72.66  (step @p214 :rule aci_norm :args ((= @t216 @t215)))
% 72.42/72.66  (step @p215 :rule cong :premises (@p214) :args ((forall @t16 @t216)))
% 72.42/72.66  (step @p216 :rule trans :premises (@p215 @p213))
% 72.42/72.66  (step @p217 :rule trans :premises (@p216 @p212))
% 72.42/72.66  (step @p218 :rule aci_norm :args ((= (or @t210 @t217) @t216)))
% 72.42/72.66  (step @p219 :rule bool-impl-elim :args (@t15 @t217))
% 72.42/72.66  (step @p220 :rule trans :premises (@p219 @p218))
% 72.42/72.66  (step @p221 :rule cong :premises (@p220) :args ((forall @t16 (=> @t15 @t217))))
% 72.42/72.66  (step @p222 :rule trans :premises (@p221 @p217))
% 72.42/72.66  (step @p223 :rule aci_norm :args ((= (or @t117 @t196 @t218) @t217)))
% 72.42/72.66  (step @p224 :rule aci_norm :args ((= (or @t197 false @t209 @t207) @t218)))
% 72.42/72.66  (step @p225 :rule refl :args (@t207))
% 72.42/72.66  (step @p226 :rule refl :args (@t209))
% 72.42/72.66  (step @p227 :rule eq-refl :args (@t1))
% 72.42/72.66  (step @p228 :rule cong :premises (@p227) :args (@t219))
% 72.42/72.66  (step @p229 :rule trans :premises (@p228 @p190))
% 72.42/72.66  (step @p230 :rule nary_cong :premises (@p209 @p229 @p226 @p225) :args (@t220))
% 72.42/72.66  (step @p231 :rule trans :premises (@p230 @p224))
% 72.42/72.66  (step @p232 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t225 @t118 @t224 @t221)) @t220)))
% 72.42/72.66  (step @p233 :rule refl :args (@t221))
% 72.42/72.66  (step @p234 :rule refl :args (@t224))
% 72.42/72.66  (step @p235 :rule refl :args (@t118))
% 72.42/72.66  (step @p236 :rule refl :args (@t225))
% 72.42/72.66  (step @p237 :rule eq-symm :args (@t1 @t10))
% 72.42/72.66  (step @p238 :rule cong :premises (@p237) :args (@t118))
% 72.42/72.66  (step @p239 :rule nary_cong :premises (@p238 @p236 @p235 @p234 @p233) :args (@t226))
% 72.42/72.66  (step @p240 :rule aci_norm :args ((= @t227 @t226)))
% 72.42/72.66  (step @p241 :rule trans :premises (@p240 @p239))
% 72.42/72.66  (step @p242 :rule cong :premises (@p241) :args (@t228))
% 72.42/72.66  (step @p243 :rule trans :premises (@p242 @p232))
% 72.42/72.66  (step @p244 :rule trans :premises (@p243 @p231))
% 72.42/72.66  (step @p245 :rule refl :args (@t117))
% 72.42/72.66  (step @p246 :rule nary_cong :premises (@p245 @p210 @p244) :args (@t229))
% 72.42/72.66  (step @p247 :rule trans :premises (@p246 @p223))
% 72.42/72.66  (step @p248 :rule quant-miniscope-or :args ((= (forall @t14 @t230) @t229)))
% 72.42/72.66  (step @p249 :rule aci_norm :args ((= @t231 @t230)))
% 72.42/72.66  (step @p250 :rule cong :premises (@p249) :args ((forall @t14 @t231)))
% 72.42/72.66  (step @p251 :rule trans :premises (@p250 @p248))
% 72.42/72.66  (step @p252 :rule trans :premises (@p251 @p247))
% 72.42/72.66  (step @p253 :rule aci_norm :args ((= (or @t225 @t232) @t231)))
% 72.42/72.66  (step @p254 :rule bool-impl-elim :args (@t13 @t232))
% 72.42/72.66  (step @p255 :rule trans :premises (@p254 @p253))
% 72.42/72.66  (step @p256 :rule cong :premises (@p255) :args ((forall @t14 (=> @t13 @t232))))
% 72.42/72.66  (step @p257 :rule trans :premises (@p256 @p252))
% 72.42/72.66  (step @p258 :rule aci_norm :args ((= @t234 @t195)))
% 72.42/72.66  (step @p259 :rule cong :premises (@p258) :args (@t235))
% 72.42/72.66  (step @p260 :rule quant-merge-prenex :args ((= (forall @t100 @t237) @t235)))
% 72.42/72.66  (step @p261 :rule alpha_equiv :args (@t238 (@list @t144) (@list @t91)))
% 72.42/72.66  (step @p262 :rule refl :args (@t149))
% 72.42/72.66  (step @p263 :rule nary_cong :premises (@p262 @p261) :args (@t239))
% 72.42/72.66  (step @p264 :rule quant-miniscope-or :args ((= @t237 @t239)))
% 72.42/72.66  (step @p265 :rule trans :premises (@p264 @p263))
% 72.42/72.66  (step @p266 :rule symm :premises (@p265))
% 72.42/72.66  (step @p267 :rule cong :premises (@p266) :args ((forall @t100 (or @t149 @t246))))
% 72.42/72.66  (step @p268 :rule trans :premises (@p267 @p260))
% 72.42/72.66  (step @p269 :rule trans :premises (@p268 @p259))
% 72.42/72.66  (step @p270 :rule bool-double-not-elim :args (@t246))
% 72.42/72.66  (step @p271 :rule nary_cong :premises (@p262 @p270) :args ((or @t149 (not @t247))))
% 72.42/72.66  (step @p272 :rule bool-and-de-morgan :args (@t98 @t247 true))
% 72.42/72.66  (step @p273 :rule trans :premises (@p272 @p271))
% 72.42/72.66  (step @p274 :rule cong :premises (@p273) :args (@t249))
% 72.42/72.66  (step @p275 :rule trans :premises (@p274 @p269))
% 72.42/72.66  (step @p276 :rule cong :premises (@p275) :args (@t250))
% 72.42/72.66  (step @p277 :rule exists-elim :args ((= (exists @t100 @t248) @t250)))
% 72.42/72.66  (step @p278 :rule trans :premises (@p277 @p276))
% 72.42/72.66  (step @p279 :rule aci_norm :args ((= (or @t244 (or @t243 @t241)) @t245)))
% 72.42/72.66  (step @p280 :rule bool-and-de-morgan :args (@t242 @t240 true))
% 72.42/72.66  (step @p281 :rule refl :args (@t244))
% 72.42/72.66  (step @p282 :rule nary_cong :premises (@p281 @p280) :args ((or @t244 (not (and @t242 @t240)))))
% 72.42/72.66  (step @p283 :rule bool-and-de-morgan :args (@t94 @t242 (and @t240)))
% 72.42/72.66  (step @p284 :rule trans :premises (@p283 @p282))
% 72.42/72.66  (step @p285 :rule trans :premises (@p284 @p279))
% 72.42/72.66  (step @p286 :rule cong :premises (@p285) :args (@t252))
% 72.42/72.66  (step @p287 :rule cong :premises (@p286) :args (@t253))
% 72.42/72.66  (step @p288 :rule exists-elim :args ((= (exists @t96 @t251) @t253)))
% 72.42/72.66  (step @p289 :rule trans :premises (@p288 @p287))
% 72.42/72.66  (step @p290 :rule eq-symm :args (@t92 @t2))
% 72.42/72.66  (step @p291 :rule eq-symm :args (@t93 @t1))
% 72.42/72.66  (step @p292 :rule refl :args (@t94))
% 72.42/72.66  (step @p293 :rule nary_cong :premises (@p292 @p291 @p290) :args (@t95))
% 72.42/72.66  (step @p294 :rule cong :premises (@p293) :args (@t97))
% 72.42/72.66  (step @p295 :rule trans :premises (@p294 @p289))
% 72.42/72.66  (step @p296 :rule refl :args (@t98))
% 72.42/72.66  (step @p297 :rule nary_cong :premises (@p296 @p295) :args (@t99))
% 72.42/72.66  (step @p298 :rule cong :premises (@p297) :args (@t101))
% 72.42/72.66  (step @p299 :rule trans :premises (@p298 @p278))
% 72.42/72.66  (step @p300 :rule refl :args (@t102))
% 72.42/72.66  (step @p301 :rule nary_cong :premises (@p300 @p299) :args (@t103))
% 72.42/72.66  (step @p302 :rule eq-symm :args (tptp.nil @t1))
% 72.42/72.66  (step @p303 :rule cong :premises (@p302) :args (@t78))
% 72.42/72.66  (step @p304 :rule nary_cong :premises (@p303 @p111) :args (@t104))
% 72.42/72.66  (step @p305 :rule nary_cong :premises (@p304 @p301) :args (@t105))
% 72.42/72.66  (step @p306 :rule eq-symm :args (tptp.nil @t10))
% 72.42/72.66  (step @p307 :rule eq-symm :args (tptp.nil @t12))
% 72.42/72.66  (step @p308 :rule cong :premises (@p307) :args (@t106))
% 72.42/72.66  (step @p309 :rule nary_cong :premises (@p308 @p306) :args (@t107))
% 72.42/72.66  (step @p310 :rule aci_norm :args ((= @t255 @t223)))
% 72.42/72.66  (step @p311 :rule cong :premises (@p310) :args (@t256))
% 72.42/72.66  (step @p312 :rule quant-merge-prenex :args ((= (forall @t33 @t258) @t256)))
% 72.42/72.66  (step @p313 :rule alpha_equiv :args (@t259 (@list @t137) (@list @t27)))
% 72.42/72.66  (step @p314 :rule refl :args (@t142))
% 72.42/72.66  (step @p315 :rule nary_cong :premises (@p314 @p313) :args (@t260))
% 72.42/72.66  (step @p316 :rule quant-miniscope-or :args ((= @t258 @t260)))
% 72.42/72.66  (step @p317 :rule trans :premises (@p316 @p315))
% 72.42/72.66  (step @p318 :rule symm :premises (@p317))
% 72.42/72.66  (step @p319 :rule cong :premises (@p318) :args ((forall @t33 (or @t142 @t265))))
% 72.42/72.66  (step @p320 :rule trans :premises (@p319 @p312))
% 72.42/72.66  (step @p321 :rule trans :premises (@p320 @p311))
% 72.42/72.66  (step @p322 :rule bool-double-not-elim :args (@t265))
% 72.42/72.66  (step @p323 :rule nary_cong :premises (@p314 @p322) :args ((or @t142 (not @t266))))
% 72.42/72.66  (step @p324 :rule bool-and-de-morgan :args (@t114 @t266 true))
% 72.42/72.66  (step @p325 :rule trans :premises (@p324 @p323))
% 72.42/72.66  (step @p326 :rule cong :premises (@p325) :args (@t268))
% 72.42/72.66  (step @p327 :rule trans :premises (@p326 @p321))
% 72.42/72.66  (step @p328 :rule cong :premises (@p327) :args (@t269))
% 72.42/72.66  (step @p329 :rule exists-elim :args ((= (exists @t33 @t267) @t269)))
% 72.42/72.66  (step @p330 :rule trans :premises (@p329 @p328))
% 72.42/72.66  (step @p331 :rule refl :args (@t262))
% 72.42/72.66  (step @p332 :rule bool-double-not-elim :args (@t263))
% 72.42/72.66  (step @p333 :rule refl :args (@t264))
% 72.42/72.66  (step @p334 :rule nary_cong :premises (@p333 @p332 @p331) :args (@t272))
% 72.42/72.66  (step @p335 :rule aci_norm :args ((= (or @t264 (or @t271 @t262)) @t272)))
% 72.42/72.66  (step @p336 :rule trans :premises (@p335 @p334))
% 72.42/72.66  (step @p337 :rule bool-and-de-morgan :args (@t270 @t261 true))
% 72.42/72.66  (step @p338 :rule nary_cong :premises (@p333 @p337) :args ((or @t264 (not (and @t270 @t261)))))
% 72.42/72.66  (step @p339 :rule bool-and-de-morgan :args (@t30 @t270 (and @t261)))
% 72.42/72.66  (step @p340 :rule trans :premises (@p339 @p338))
% 72.42/72.66  (step @p341 :rule trans :premises (@p340 @p336))
% 72.42/72.66  (step @p342 :rule cong :premises (@p341) :args (@t274))
% 72.42/72.66  (step @p343 :rule cong :premises (@p342) :args (@t275))
% 72.42/72.66  (step @p344 :rule exists-elim :args ((= (exists @t31 @t273) @t275)))
% 72.42/72.66  (step @p345 :rule trans :premises (@p344 @p343))
% 72.42/72.66  (step @p346 :rule eq-symm :args (@t109 @t10))
% 72.42/72.66  (step @p347 :rule eq-symm :args (@t110 @t12))
% 72.42/72.66  (step @p348 :rule cong :premises (@p347) :args (@t111))
% 72.42/72.66  (step @p349 :rule refl :args (@t30))
% 72.42/72.66  (step @p350 :rule nary_cong :premises (@p349 @p348 @p346) :args (@t112))
% 72.42/72.66  (step @p351 :rule cong :premises (@p350) :args (@t113))
% 72.42/72.66  (step @p352 :rule trans :premises (@p351 @p345))
% 72.42/72.66  (step @p353 :rule refl :args (@t114))
% 72.42/72.66  (step @p354 :rule nary_cong :premises (@p353 @p352) :args (@t115))
% 72.42/72.66  (step @p355 :rule cong :premises (@p354) :args (@t116))
% 72.42/72.66  (step @p356 :rule trans :premises (@p355 @p330))
% 72.42/72.66  (step @p357 :rule refl :args (@t118))
% 72.42/72.66  (step @p358 :rule nary_cong :premises (@p357 @p245 @p356 @p309 @p305) :args (@t119))
% 72.42/72.66  (step @p359 :rule refl :args (@t13))
% 72.42/72.66  (step @p360 :rule cong :premises (@p359 @p358) :args (@t120))
% 72.42/72.66  (step @p361 :rule cong :premises (@p360) :args (@t121))
% 72.42/72.66  (step @p362 :rule trans :premises (@p361 @p257))
% 72.42/72.66  (step @p363 :rule refl :args (@t15))
% 72.42/72.66  (step @p364 :rule cong :premises (@p363 @p362) :args (@t122))
% 72.42/72.66  (step @p365 :rule cong :premises (@p364) :args (@t123))
% 72.42/72.66  (step @p366 :rule trans :premises (@p365 @p222))
% 72.42/72.66  (step @p367 :rule refl :args (@t21))
% 72.42/72.66  (step @p368 :rule cong :premises (@p367 @p366) :args (@t124))
% 72.42/72.66  (step @p369 :rule cong :premises (@p368) :args (@t125))
% 72.42/72.66  (step @p370 :rule trans :premises (@p369 @p185))
% 72.42/72.66  (step @p371 :rule cong :premises (@p114 @p370) :args (@t126))
% 72.42/72.66  (step @p372 :rule cong :premises (@p371) :args (@t127))
% 72.42/72.66  (step @p373 :rule trans :premises (@p372 @p176))
% 72.42/72.66  (step @p374 :rule cong :premises (@p373) :args (@t128))
% 72.42/72.66  (step @p375 :rule eq_resolve :premises (@p96 @p374))
% 72.42/72.66  (step @p376 :rule refl :args (@t294))
% 72.42/72.66  (step @p377 :rule bool-double-not-elim :args (@t154))
% 72.42/72.66  (step @p378 :rule nary_cong :premises (@p377 @p376) :args ((or (not @t295) @t294)))
% 72.42/72.66  (step @p379 :rule refl :args (@t164))
% 72.42/72.66  (step @p380 :rule eq-symm :args (@t276 tptp.nil))
% 72.42/72.66  (step @p381 :rule cong :premises (@p380) :args (@t297))
% 72.42/72.66  (step @p382 :rule nary_cong :premises (@p381 @p379) :args (@t298))
% 72.42/72.66  (step @p383 :rule refl :args (@t280))
% 72.42/72.66  (step @p384 :rule eq-symm :args (@t276 @t139))
% 72.42/72.66  (step @p385 :rule nary_cong :premises (@p139 @p138 @p384 @p383) :args (@t299))
% 72.42/72.66  (step @p386 :rule cong :premises (@p385) :args (@t300))
% 72.42/72.66  (step @p387 :rule cong :premises (@p386) :args (@t301))
% 72.42/72.66  (step @p388 :rule eq-symm :args (@t276 @t145))
% 72.42/72.66  (step @p389 :rule cong :premises (@p388) :args (@t302))
% 72.42/72.66  (step @p390 :rule refl :args (@t283))
% 72.42/72.66  (step @p391 :rule nary_cong :premises (@p147 @p146 @p390 @p389) :args (@t303))
% 72.42/72.66  (step @p392 :rule cong :premises (@p391) :args (@t304))
% 72.42/72.66  (step @p393 :rule cong :premises (@p392) :args (@t305))
% 72.42/72.66  (step @p394 :rule refl :args (@t287))
% 72.42/72.66  (step @p395 :rule nary_cong :premises (@p394 @p393) :args (@t306))
% 72.42/72.66  (step @p396 :rule refl :args (@t289))
% 72.42/72.66  (step @p397 :rule nary_cong :premises (@p396 @p380) :args (@t307))
% 72.42/72.66  (step @p398 :rule nary_cong :premises (@p397 @p395) :args (@t308))
% 72.42/72.66  (step @p399 :rule refl :args (@t292))
% 72.42/72.66  (step @p400 :rule nary_cong :premises (@p399 @p121 @p398 @p387 @p382) :args (@t309))
% 72.42/72.66  (step @p401 :rule cong :premises (@p400) :args (@t310))
% 72.42/72.66  (step @p402 :rule refl :args (@t295))
% 72.42/72.66  (step @p403 :rule cong :premises (@p402 @p401) :args ((=> @t295 @t310)))
% 72.42/72.66  (assume-push @p789 @t295)
% 72.42/72.66  (step @p405 :rule skolemize :premises (@p375))
% 72.42/72.66  (step-pop @p790 :rule scope :premises (@p405))
% 72.42/72.66  (step @p406 :rule process_scope :premises (@p790) :args (@t310))
% 72.42/72.66  (step @p408 :rule eq_resolve :premises (@p406 @p403))
% 72.42/72.66  (step @p409 :rule implies_elim :premises (@p408))
% 72.42/72.66  (step @p410 :rule eq_resolve :premises (@p409 @p378))
% 72.42/72.66  (step @p411 :rule chain_m_resolution :premises (@p410 @p375) :args (@t294 @t311 (@list @t154)))
% 72.42/72.66  (step @p412 :rule cnf_or_neg :args (@t293 4))
% 72.42/72.66  (step @p413 :rule chain_m_resolution :premises (@p412 @p411) :args ((not @t279) @t311 @t312))
% 72.42/72.66  (step @p414 :rule bool-double-not-elim :args (@t277))
% 72.42/72.66  (step @p415 :rule refl :args (@t279))
% 72.42/72.66  (step @p416 :rule nary_cong :premises (@p415 @p414 @p396) :args ((or @t279 (not @t278) @t289)))
% 72.42/72.66  (step @p417 :rule cnf_and_neg :args (@t279))
% 72.42/72.66  (step @p418 :rule eq_resolve :premises (@p417 @p416))
% 72.42/72.66  (step @p419 :rule reordering :premises (@p418) :args ((or @t289 @t277 @t279)))
% 72.42/72.66  (step @p420 :rule cnf_or_neg :args (@t290 1))
% 72.42/72.66  (step @p421 :rule cnf_or_neg :args (@t293 2))
% 72.42/72.66  (step @p422 :rule chain_m_resolution :premises (@p421 @p411) :args ((not @t291) @t311 @t312))
% 72.42/72.66  (step @p423 :rule cnf_and_neg :args (@t291))
% 72.42/72.66  (step @p424 :rule bool-double-not-elim :args (@t286))
% 72.42/72.66  (step @p425 :rule refl :args (@t288))
% 72.42/72.66  (step @p426 :rule nary_cong :premises (@p425 @p424) :args ((or @t288 (not @t287))))
% 72.42/72.66  (step @p427 :rule cnf_or_neg :args (@t288 0))
% 72.42/72.66  (step @p428 :rule eq_resolve :premises (@p427 @p426))
% 72.42/72.66  (step @p429 :rule reordering :premises (@p428) :args ((or @t286 @t288)))
% 72.42/72.66  (step @p430 :rule aci_norm :args ((= @t318 @t316)))
% 72.42/72.66  (step @p431 :rule cong :premises (@p430) :args (@t320))
% 72.42/72.66  (step @p432 :rule quant-merge-prenex :args ((= (forall @t9 @t322) @t320)))
% 72.42/72.66  (step @p433 :rule alpha_equiv :args (@t323 (@list @t313) @t188))
% 72.42/72.66  (step @p434 :rule nary_cong :premises (@p104 @p433) :args (@t324))
% 72.42/72.66  (step @p435 :rule quant-miniscope-or :args ((= @t322 @t324)))
% 72.42/72.66  (step @p436 :rule trans :premises (@p435 @p434))
% 72.42/72.66  (step @p437 :rule symm :premises (@p436))
% 72.42/72.66  (step @p438 :rule cong :premises (@p437) :args ((forall @t9 (or @t130 @t325))))
% 72.42/72.66  (step @p439 :rule trans :premises (@p438 @p432))
% 72.42/72.66  (step @p440 :rule trans :premises (@p439 @p431))
% 72.42/72.66  (step @p441 :rule bool-impl-elim :args (@t17 @t325))
% 72.42/72.66  (step @p442 :rule cong :premises (@p441) :args ((forall @t9 (=> @t17 @t325))))
% 72.42/72.66  (step @p443 :rule trans :premises (@p442 @p440))
% 72.42/72.66  (step @p444 :rule bool-impl-elim :args (@t21 @t5))
% 72.42/72.66  (step @p445 :rule cong :premises (@p444) :args (@t37))
% 72.42/72.66  (step @p446 :rule cong :premises (@p114 @p445) :args (@t38))
% 72.42/72.66  (step @p447 :rule cong :premises (@p446) :args (@t39))
% 72.42/72.66  (step @p448 :rule trans :premises (@p447 @p443))
% 72.42/72.66  (step @p449 :rule eq_resolve :premises (@p15 @p448))
% 72.42/72.66  (step @p450 :rule bool-eq-false :args (@t326))
% 72.42/72.66  (step @p451 :rule eq-refl :args (tptp.nil))
% 72.42/72.66  (step @p452 :rule cong :premises (@p451) :args (@t327))
% 72.42/72.66  (step @p453 :rule trans :premises (@p452 @p190))
% 72.42/72.66  (step @p454 :rule refl :args (@t326))
% 72.42/72.66  (step @p455 :rule cong :premises (@p454 @p453) :args (@t328))
% 72.42/72.66  (step @p456 :rule trans :premises (@p455 @p450))
% 72.42/72.66  (step @p457 :rule refl :args (@t329))
% 72.42/72.66  (step @p458 :rule nary_cong :premises (@p457 @p457 @p456) :args (@t330))
% 72.42/72.66  (step @p459 :rule refl :args (@t331))
% 72.42/72.66  (step @p460 :rule cong :premises (@p459 @p458) :args ((=> @t331 @t330)))
% 72.42/72.66  (assume-push @p791 @t331)
% 72.42/72.66  (step @p462 :rule instantiate :premises (@p449) :args ((@list tptp.nil tptp.nil)))
% 72.42/72.66  (step-pop @p792 :rule scope :premises (@p462))
% 72.42/72.66  (step @p463 :rule process_scope :premises (@p792) :args (@t330))
% 72.42/72.66  (step @p465 :rule eq_resolve :premises (@p463 @p460))
% 72.42/72.66  (step @p466 :rule implies_elim :premises (@p465))
% 72.42/72.66  (step @p467 :rule chain_m_resolution :premises (@p466 @p449) :args (@t333 @t166 (@list @t331)))
% 72.42/72.66  (step @p468 :rule cnf_or_pos :args (@t333))
% 72.42/72.66  (step @p469 :rule factoring :premises (@p468))
% 72.42/72.66  (step @p470 :rule reordering :premises (@p469) :args ((or @t329 @t332 (not @t333))))
% 72.42/72.67  (step @p471 :rule chain_m_resolution :premises (@p470 @p17 @p467) :args (@t332 @t334 (@list @t41 @t333)))
% 72.42/72.67  (step @p472 :rule bool-double-not-elim :args (@t326))
% 72.42/72.67  (step @p473 :rule nary_cong :premises (@p396 @p472 @p394) :args ((or @t289 (not @t332) @t287)))
% 72.42/72.67  (assume-push @p793 @t164)
% 72.42/72.67  (assume-push @p794 @t332)
% 72.42/72.67  (assume-push @p795 @t332)
% 72.42/72.67  (assume-push @p796 @t164)
% 72.42/72.67  (step @p478 :rule false_intro :premises (@p471))
% 72.42/72.67  (step @p479 :rule refl :args (tptp.nil))
% 72.42/72.67  (step @p480 :rule symm :premises (@p793))
% 72.42/72.67  (step @p481 :rule cong :premises (@p480 @p479) :args (@t286))
% 72.42/72.67  (step @p482 :rule trans :premises (@p481 @p478))
% 72.42/72.67  (step @p483 :rule false_elim :premises (@p482))
% 72.42/72.67  (step-pop @p797 :rule scope :premises (@p483))
% 72.42/72.67  (step-pop @p798 :rule scope :premises (@p797))
% 72.42/72.67  (step @p484 :rule process_scope :premises (@p798) :args (@t287))
% 72.42/72.67  (step @p487 :rule and_intro :premises (@p471 @p793))
% 72.42/72.67  (step @p488 :rule modus_ponens :premises (@p487 @p484))
% 72.42/72.67  (step-pop @p799 :rule scope :premises (@p488))
% 72.42/72.67  (step-pop @p800 :rule scope :premises (@p799))
% 72.42/72.67  (step @p489 :rule process_scope :premises (@p800) :args (@t287))
% 72.42/72.67  (step @p492 :rule implies_elim :premises (@p489))
% 72.42/72.67  (step @p493 :rule cnf_and_neg :args (@t335))
% 72.42/72.67  (step @p494 :rule resolution :premises (@p493 @p492) :args (true @t335))
% 72.42/72.67  (step @p495 :rule eq_resolve :premises (@p494 @p473))
% 72.42/72.67  (step @p496 :rule reordering :premises (@p495) :args ((or @t289 @t287 @t326)))
% 72.42/72.67  (step @p497 :rule chain_m_resolution :premises (@p496 @p471 @p429 @p423 @p422 @p420 @p419 @p413) :args (@t289 (@list true false true true false false true) (@list @t326 @t286 @t288 @t291 @t290 @t277 @t279)))
% 72.42/72.67  (step @p498 :rule bool-double-not-elim :args (@t158))
% 72.42/72.67  (step @p499 :rule refl :args (@t293))
% 72.42/72.67  (step @p500 :rule nary_cong :premises (@p499 @p498) :args ((or @t293 (not @t159))))
% 72.42/72.67  (step @p501 :rule cnf_or_neg :args (@t293 1))
% 72.42/72.67  (step @p502 :rule eq_resolve :premises (@p501 @p500))
% 72.42/72.67  (step @p503 :rule reordering :premises (@p502) :args ((or @t158 @t293)))
% 72.42/72.67  (step @p504 :rule chain_m_resolution :premises (@p503 @p411) :args (@t158 @t311 @t312))
% 72.42/72.67  (step @p505 :rule cnf_or_pos :args (@t165))
% 72.42/72.67  (step @p506 :rule reordering :premises (@p505) :args ((or @t159 @t164 @t157 (not @t165))))
% 72.42/72.67  (step @p507 :rule chain_m_resolution :premises (@p506 @p504 @p497 @p131) :args (@t157 @t336 (@list @t158 @t164 @t165)))
% 72.42/72.67  (step @p508 :rule aci_norm :args ((= @t341 (or @t130 @t339 @t338))))
% 72.42/72.67  (step @p509 :rule cong :premises (@p508) :args (@t342))
% 72.42/72.67  (step @p510 :rule quant-merge-prenex :args ((= (forall @t9 @t344) @t342)))
% 72.42/72.67  (step @p511 :rule alpha_equiv :args (@t345 (@list @t337) @t188))
% 72.42/72.67  (step @p512 :rule nary_cong :premises (@p104 @p511) :args (@t346))
% 72.42/72.67  (step @p513 :rule quant-miniscope-or :args ((= @t344 @t346)))
% 72.42/72.67  (step @p514 :rule trans :premises (@p513 @p512))
% 72.42/72.67  (step @p515 :rule symm :premises (@p514))
% 72.42/72.67  (step @p516 :rule cong :premises (@p515) :args ((forall @t9 (or @t130 @t349))))
% 72.42/72.67  (step @p517 :rule trans :premises (@p516 @p510))
% 72.42/72.67  (step @p518 :rule trans :premises (@p517 @p509))
% 72.42/72.67  (step @p519 :rule bool-impl-elim :args (@t17 @t349))
% 72.42/72.67  (step @p520 :rule cong :premises (@p519) :args ((forall @t9 (=> @t17 @t349))))
% 72.42/72.67  (step @p521 :rule trans :premises (@p520 @p518))
% 72.42/72.67  (step @p522 :rule bool-impl-elim :args (@t6 @t347))
% 72.42/72.67  (step @p523 :rule cong :premises (@p522) :args ((forall @t7 (=> @t6 @t347))))
% 72.42/72.67  (step @p524 :rule eq-symm :args (@t59 @t2))
% 72.42/72.67  (step @p525 :rule refl :args (@t6))
% 72.42/72.67  (step @p526 :rule cong :premises (@p525 @p524) :args (@t60))
% 72.42/72.67  (step @p527 :rule cong :premises (@p526) :args (@t61))
% 72.42/72.67  (step @p528 :rule trans :premises (@p527 @p523))
% 72.42/72.67  (step @p529 :rule cong :premises (@p114 @p528) :args (@t62))
% 72.42/72.67  (step @p530 :rule cong :premises (@p529) :args (@t63))
% 72.42/72.67  (step @p531 :rule trans :premises (@p530 @p521))
% 72.42/72.67  (step @p532 :rule eq_resolve :premises (@p25 @p531))
% 72.42/72.67  (step @p533 :rule instantiate :premises (@p532) :args ((@list @t356 @t355)))
% 72.42/72.67  (step @p534 :rule aci_norm :args ((= (or @t130 @t361) @t360)))
% 72.42/72.67  (step @p535 :rule bool-impl-elim :args (@t17 @t361))
% 72.42/72.67  (step @p536 :rule trans :premises (@p535 @p534))
% 72.42/72.67  (step @p537 :rule cong :premises (@p536) :args ((forall @t9 (=> @t17 @t361))))
% 72.42/72.67  (step @p538 :rule aci_norm :args ((= @t363 @t358)))
% 72.42/72.67  (step @p539 :rule cong :premises (@p538) :args (@t364))
% 72.42/72.67  (step @p540 :rule quant-merge-prenex :args ((= (forall @t7 @t366) @t364)))
% 72.42/72.67  (step @p541 :rule alpha_equiv :args (@t367 (@list @t350) (@list @t12)))
% 72.42/72.67  (step @p542 :rule refl :args (@t197))
% 72.42/72.67  (step @p543 :rule nary_cong :premises (@p542 @p541) :args (@t368))
% 72.42/72.67  (step @p544 :rule quant-miniscope-or :args ((= @t366 @t368)))
% 72.42/72.67  (step @p545 :rule trans :premises (@p544 @p543))
% 72.42/72.67  (step @p546 :rule symm :premises (@p545))
% 72.42/72.67  (step @p547 :rule cong :premises (@p546) :args ((forall @t7 (or @t197 @t370))))
% 72.42/72.67  (step @p548 :rule trans :premises (@p547 @p540))
% 72.42/72.67  (step @p549 :rule trans :premises (@p548 @p539))
% 72.42/72.67  (step @p550 :rule bool-double-not-elim :args (@t370))
% 72.42/72.67  (step @p551 :rule nary_cong :premises (@p542 @p550) :args ((or @t197 (not @t371))))
% 72.42/72.67  (step @p552 :rule bool-and-de-morgan :args (@t21 @t371 true))
% 72.42/72.67  (step @p553 :rule trans :premises (@p552 @p551))
% 72.42/72.67  (step @p554 :rule cong :premises (@p553) :args (@t373))
% 72.42/72.67  (step @p555 :rule trans :premises (@p554 @p549))
% 72.42/72.67  (step @p556 :rule cong :premises (@p555) :args (@t374))
% 72.42/72.67  (step @p557 :rule exists-elim :args ((= (exists @t7 @t372) @t374)))
% 72.42/72.67  (step @p558 :rule trans :premises (@p557 @p556))
% 72.42/72.67  (step @p559 :rule bool-and-de-morgan :args (@t34 @t369 true))
% 72.42/72.67  (step @p560 :rule cong :premises (@p559) :args (@t376))
% 72.42/72.67  (step @p561 :rule cong :premises (@p560) :args (@t377))
% 72.42/72.67  (step @p562 :rule exists-elim :args ((= (exists @t16 @t375) @t377)))
% 72.42/72.67  (step @p563 :rule trans :premises (@p562 @p561))
% 72.42/72.67  (step @p564 :rule eq-symm :args (@t43 @t2))
% 72.42/72.67  (step @p565 :rule refl :args (@t34))
% 72.42/72.67  (step @p566 :rule nary_cong :premises (@p565 @p564) :args (@t44))
% 72.42/72.67  (step @p567 :rule cong :premises (@p566) :args (@t45))
% 72.42/72.67  (step @p568 :rule trans :premises (@p567 @p563))
% 72.42/72.67  (step @p569 :rule nary_cong :premises (@p367 @p568) :args (@t46))
% 72.42/72.67  (step @p570 :rule cong :premises (@p569) :args (@t47))
% 72.42/72.67  (step @p571 :rule trans :premises (@p570 @p558))
% 72.42/72.67  (step @p572 :rule nary_cong :premises (@p111 @p571) :args (@t49))
% 72.42/72.67  (step @p573 :rule cong :premises (@p114 @p572) :args (@t50))
% 72.42/72.67  (step @p574 :rule cong :premises (@p573) :args (@t51))
% 72.42/72.67  (step @p575 :rule trans :premises (@p574 @p537))
% 72.42/72.67  (step @p576 :rule eq_resolve :premises (@p20 @p575))
% 72.42/72.67  (step @p577 :rule eq-symm :args (@t155 @t351))
% 72.42/72.67  (step @p578 :rule cong :premises (@p577) :args (@t378))
% 72.42/72.67  (step @p579 :rule refl :args (@t352))
% 72.42/72.67  (step @p580 :rule nary_cong :premises (@p209 @p579 @p578) :args (@t379))
% 72.42/72.67  (step @p581 :rule cong :premises (@p580) :args (@t380))
% 72.42/72.67  (step @p582 :rule cong :premises (@p581) :args (@t381))
% 72.42/72.67  (step @p583 :rule nary_cong :premises (@p121 @p120 @p582) :args (@t382))
% 72.42/72.67  (step @p584 :rule refl :args (@t383))
% 72.42/72.67  (step @p585 :rule cong :premises (@p584 @p583) :args ((=> @t383 @t382)))
% 72.42/72.67  (assume-push @p801 @t383)
% 72.42/72.67  (step @p587 :rule instantiate :premises (@p576) :args (@t163))
% 72.42/72.67  (step-pop @p802 :rule scope :premises (@p587))
% 72.42/72.67  (step @p588 :rule process_scope :premises (@p802) :args (@t382))
% 72.42/72.67  (step @p590 :rule eq_resolve :premises (@p588 @p585))
% 72.42/72.67  (step @p591 :rule implies_elim :premises (@p590))
% 72.42/72.67  (step @p592 :rule chain_m_resolution :premises (@p591 @p576) :args (@t385 @t166 (@list @t383)))
% 72.42/72.67  (step @p593 :rule cnf_or_pos :args (@t385))
% 72.42/72.67  (step @p594 :rule reordering :premises (@p593) :args ((or @t159 @t164 @t384 (not @t385))))
% 72.42/72.67  (step @p595 :rule chain_m_resolution :premises (@p594 @p504 @p497 @p592) :args (@t384 @t336 (@list @t158 @t164 @t385)))
% 72.42/72.67  (step @p596 :rule refl :args (@t394))
% 72.42/72.67  (step @p597 :rule bool-double-not-elim :args (@t354))
% 72.42/72.67  (step @p598 :rule nary_cong :premises (@p597 @p596) :args ((or (not @t384) @t394)))
% 72.42/72.67  (step @p599 :rule eq-symm :args (@t386 @t155))
% 72.42/72.67  (step @p600 :rule cong :premises (@p599) :args (@t395))
% 72.42/72.67  (step @p601 :rule refl :args (@t390))
% 72.42/72.67  (step @p602 :rule refl :args (@t392))
% 72.42/72.67  (step @p603 :rule nary_cong :premises (@p602 @p601 @p600) :args (@t396))
% 72.42/72.67  (step @p604 :rule cong :premises (@p603) :args (@t397))
% 72.42/72.67  (step @p605 :rule refl :args (@t384))
% 72.42/72.67  (step @p606 :rule cong :premises (@p605 @p604) :args ((=> @t384 @t397)))
% 72.42/72.67  (assume-push @p803 @t384)
% 72.42/72.67  (step @p608 :rule skolemize :premises (@p803))
% 72.42/72.67  (step-pop @p804 :rule scope :premises (@p608))
% 72.42/72.67  (step @p609 :rule process_scope :premises (@p804) :args (@t397))
% 72.42/72.67  (step @p611 :rule eq_resolve :premises (@p609 @p606))
% 72.42/72.67  (step @p612 :rule implies_elim :premises (@p611))
% 72.42/72.67  (step @p613 :rule eq_resolve :premises (@p612 @p598))
% 72.42/72.67  (step @p614 :rule chain_m_resolution :premises (@p613 @p595) :args (@t394 @t311 (@list @t354)))
% 72.42/72.67  (step @p615 :rule bool-double-not-elim :args (@t389))
% 72.42/72.67  (step @p616 :rule refl :args (@t393))
% 72.42/72.67  (step @p617 :rule nary_cong :premises (@p616 @p615) :args ((or @t393 (not @t390))))
% 72.42/72.67  (step @p618 :rule cnf_or_neg :args (@t393 1))
% 72.42/72.67  (step @p619 :rule eq_resolve :premises (@p618 @p617))
% 72.42/72.67  (step @p620 :rule reordering :premises (@p619) :args ((or @t389 @t393)))
% 72.42/72.67  (step @p621 :rule chain_m_resolution :premises (@p620 @p614) :args (@t389 @t311 @t398))
% 72.42/72.67  (step @p622 :rule bool-double-not-elim :args (@t391))
% 72.42/72.67  (step @p623 :rule nary_cong :premises (@p616 @p622) :args ((or @t393 (not @t392))))
% 72.42/72.67  (step @p624 :rule cnf_or_neg :args (@t393 0))
% 72.42/72.67  (step @p625 :rule eq_resolve :premises (@p624 @p623))
% 72.42/72.67  (step @p626 :rule reordering :premises (@p625) :args ((or @t391 @t393)))
% 72.42/72.67  (step @p627 :rule chain_m_resolution :premises (@p626 @p614) :args (@t391 @t311 @t398))
% 72.42/72.67  (step @p628 :rule cnf_or_pos :args (@t400))
% 72.42/72.67  (step @p629 :rule reordering :premises (@p628) :args ((or @t392 @t390 @t399 (not @t400))))
% 72.42/72.67  (step @p630 :rule chain_m_resolution :premises (@p629 @p627 @p621 @p533) :args (@t399 @t401 (@list @t391 @t389 @t400)))
% 72.42/72.67  (step @p631 :rule bool-double-not-elim :args (@t387))
% 72.42/72.67  (step @p632 :rule nary_cong :premises (@p616 @p631) :args ((or @t393 (not @t388))))
% 72.42/72.67  (step @p633 :rule cnf_or_neg :args (@t393 2))
% 72.42/72.67  (step @p634 :rule eq_resolve :premises (@p633 @p632))
% 72.42/72.67  (step @p635 :rule reordering :premises (@p634) :args ((or @t387 @t393)))
% 72.42/72.67  (step @p636 :rule chain_m_resolution :premises (@p635 @p614) :args (@t387 @t311 @t398))
% 72.42/72.67  (assume-push @p805 @t391)
% 72.42/72.67  (assume-push @p806 @t387)
% 72.42/72.67  (assume-push @p807 @t399)
% 72.42/72.67  (assume-push @p808 @t391)
% 72.42/72.67  (assume-push @p809 @t399)
% 72.42/72.67  (assume-push @p810 @t387)
% 72.42/72.67  (step @p643 :rule true_intro :premises (@p805))
% 72.42/72.67  (step @p644 :rule symm :premises (@p807))
% 72.42/72.67  (step @p645 :rule cong :premises (@p806) :args (@t402))
% 72.42/72.67  (step @p646 :rule trans :premises (@p645 @p644))
% 72.42/72.67  (step @p647 :rule cong :premises (@p646) :args (@t403))
% 72.42/72.67  (step @p648 :rule trans :premises (@p647 @p643))
% 72.42/72.67  (step @p649 :rule true_elim :premises (@p648))
% 72.42/72.67  (step-pop @p811 :rule scope :premises (@p649))
% 72.42/72.67  (step-pop @p812 :rule scope :premises (@p811))
% 72.42/72.67  (step-pop @p813 :rule scope :premises (@p812))
% 72.42/72.67  (step @p650 :rule process_scope :premises (@p813) :args (@t403))
% 72.42/72.67  (step @p654 :rule and_intro :premises (@p805 @p807 @p806))
% 72.42/72.67  (step @p655 :rule modus_ponens :premises (@p654 @p650))
% 72.42/72.67  (step-pop @p814 :rule scope :premises (@p655))
% 72.42/72.67  (step-pop @p815 :rule scope :premises (@p814))
% 72.42/72.67  (step-pop @p816 :rule scope :premises (@p815))
% 72.42/72.67  (step @p656 :rule process_scope :premises (@p816) :args (@t403))
% 72.42/72.67  (step @p660 :rule implies_elim :premises (@p656))
% 72.42/72.67  (step @p661 :rule cnf_and_neg :args (@t404))
% 72.42/72.67  (step @p662 :rule resolution :premises (@p661 @p660) :args (true @t404))
% 72.42/72.67  (step @p663 :rule chain_m_resolution :premises (@p662 @p627 @p636 @p630) :args (@t403 @t401 (@list @t391 @t387 @t399)))
% 72.42/72.67  (step @p664 :rule bool-double-not-elim :args (@t164))
% 72.42/72.67  (step @p665 :rule refl :args (@t290))
% 72.42/72.67  (step @p666 :rule nary_cong :premises (@p665 @p664) :args ((or @t290 (not @t289))))
% 72.42/72.67  (step @p667 :rule cnf_or_neg :args (@t290 0))
% 72.42/72.67  (step @p668 :rule eq_resolve :premises (@p667 @p666))
% 72.42/72.67  (step @p669 :rule reordering :premises (@p668) :args ((or @t164 @t290)))
% 72.42/72.67  (step @p670 :rule chain_m_resolution :premises (@p669 @p497) :args (@t290 @t311 (@list @t164)))
% 72.42/72.67  (step @p671 :rule chain_m_resolution :premises (@p423 @p422 @p670) :args ((not @t288) (@list true false) (@list @t291 @t290)))
% 72.42/72.67  (step @p672 :rule bool-double-not-elim :args (@t284))
% 72.42/72.67  (step @p673 :rule nary_cong :premises (@p425 @p672) :args ((or @t288 (not @t285))))
% 72.42/72.67  (step @p674 :rule cnf_or_neg :args (@t288 1))
% 72.42/72.67  (step @p675 :rule eq_resolve :premises (@p674 @p673))
% 72.42/72.67  (step @p676 :rule reordering :premises (@p675) :args ((or @t284 @t288)))
% 72.42/72.67  (step @p677 :rule chain_m_resolution :premises (@p676 @p671) :args (@t284 @t311 (@list @t288)))
% 72.42/72.67  (step @p678 :rule eq-symm :args (@t406 @t276))
% 72.42/72.67  (step @p679 :rule cong :premises (@p678) :args (@t408))
% 72.42/72.67  (step @p680 :rule eq-symm :args (@t409 @t155))
% 72.42/72.67  (step @p681 :rule cong :premises (@p680) :args (@t410))
% 72.42/72.67  (step @p682 :rule refl :args (@t411))
% 72.42/72.67  (step @p683 :rule refl :args (@t412))
% 72.42/72.67  (step @p684 :rule nary_cong :premises (@p683 @p682 @p681 @p679) :args (@t413))
% 72.42/72.67  (step @p685 :rule refl :args (@t284))
% 72.42/72.67  (step @p686 :rule cong :premises (@p685 @p684) :args ((=> @t284 @t413)))
% 72.42/72.67  (assume-push @p817 @t284)
% 72.42/72.67  (step @p688 :rule instantiate :premises (@p817) :args (@t414))
% 72.42/72.67  (step-pop @p818 :rule scope :premises (@p688))
% 72.42/72.67  (step @p689 :rule process_scope :premises (@p818) :args (@t413))
% 72.42/72.67  (step @p691 :rule eq_resolve :premises (@p689 @p686))
% 72.42/72.67  (step @p692 :rule implies_elim :premises (@p691))
% 72.42/72.67  (step @p693 :rule chain_m_resolution :premises (@p692 @p677) :args (@t419 @t166 (@list @t284)))
% 72.42/72.67  (step @p694 :rule aci_norm :args ((= @t424 (or @t130 @t422 @t421))))
% 72.42/72.67  (step @p695 :rule cong :premises (@p694) :args (@t425))
% 72.42/72.67  (step @p696 :rule quant-merge-prenex :args ((= (forall @t9 @t427) @t425)))
% 72.42/72.67  (step @p697 :rule alpha_equiv :args (@t428 (@list @t420) @t188))
% 72.42/72.67  (step @p698 :rule nary_cong :premises (@p104 @p697) :args (@t429))
% 72.42/72.67  (step @p699 :rule quant-miniscope-or :args ((= @t427 @t429)))
% 72.42/72.67  (step @p700 :rule trans :premises (@p699 @p698))
% 72.42/72.67  (step @p701 :rule symm :premises (@p700))
% 72.42/72.67  (step @p702 :rule cong :premises (@p701) :args ((forall @t9 (or @t130 @t430))))
% 72.42/72.67  (step @p703 :rule trans :premises (@p702 @p696))
% 72.42/72.67  (step @p704 :rule trans :premises (@p703 @p695))
% 72.42/72.67  (step @p705 :rule bool-impl-elim :args (@t17 @t430))
% 72.42/72.67  (step @p706 :rule cong :premises (@p705) :args ((forall @t9 (=> @t17 @t430))))
% 72.42/72.67  (step @p707 :rule trans :premises (@p706 @p704))
% 72.42/72.67  (step @p708 :rule bool-impl-elim :args (@t6 @t85))
% 72.42/72.67  (step @p709 :rule cong :premises (@p708) :args (@t86))
% 72.42/72.67  (step @p710 :rule cong :premises (@p114 @p709) :args (@t87))
% 72.42/72.67  (step @p711 :rule cong :premises (@p710) :args (@t88))
% 72.42/72.67  (step @p712 :rule trans :premises (@p711 @p707))
% 72.42/72.67  (step @p713 :rule eq_resolve :premises (@p81 @p712))
% 72.42/72.67  (step @p714 :rule instantiate :premises (@p713) :args ((@list @t402 @t156)))
% 72.42/72.67  (step @p715 :rule cnf_or_pos :args (@t433))
% 72.42/72.67  (step @p716 :rule reordering :premises (@p715) :args ((or @t412 @t411 @t432 (not @t433))))
% 72.42/72.67  (step @p717 :rule chain_m_resolution :premises (@p716 @p507 @p663 @p714) :args (@t432 @t401 (@list @t157 @t403 @t433)))
% 72.42/72.67  (step @p718 :rule aci_norm :args ((= (or @t130 (or @t129 @t434)) @t435)))
% 72.42/72.67  (step @p719 :rule refl :args (@t434))
% 72.42/72.67  (step @p720 :rule nary_cong :premises (@p100 @p719) :args ((or @t133 @t434)))
% 72.42/72.67  (step @p721 :rule bool-impl-elim :args (@t132 @t434))
% 72.42/72.67  (step @p722 :rule trans :premises (@p721 @p720))
% 72.42/72.67  (step @p723 :rule nary_cong :premises (@p104 @p722) :args ((or @t130 @t436)))
% 72.42/72.67  (step @p724 :rule trans :premises (@p723 @p718))
% 72.42/72.67  (step @p725 :rule bool-impl-elim :args (@t17 @t436))
% 72.42/72.67  (step @p726 :rule trans :premises (@p725 @p724))
% 72.42/72.67  (step @p727 :rule cong :premises (@p726) :args ((forall @t9 (=> @t17 @t436))))
% 72.42/72.67  (step @p728 :rule eq-symm :args (@t80 @t2))
% 72.42/72.67  (step @p729 :rule cong :premises (@p112 @p728) :args (@t81))
% 72.42/72.67  (step @p730 :rule cong :premises (@p114 @p729) :args (@t82))
% 72.42/72.67  (step @p731 :rule cong :premises (@p730) :args (@t83))
% 72.42/72.67  (step @p732 :rule trans :premises (@p731 @p727))
% 72.42/72.67  (step @p733 :rule eq_resolve :premises (@p78 @p732))
% 72.42/72.67  (step @p734 :rule refl :args (@t437))
% 72.42/72.67  (step @p735 :rule nary_cong :premises (@p121 @p120 @p734) :args (@t438))
% 72.42/72.67  (step @p736 :rule refl :args (@t439))
% 72.42/72.67  (step @p737 :rule cong :premises (@p736 @p735) :args ((=> @t439 @t438)))
% 72.42/72.67  (assume-push @p819 @t439)
% 72.42/72.67  (step @p739 :rule instantiate :premises (@p733) :args (@t163))
% 72.42/72.67  (step-pop @p820 :rule scope :premises (@p739))
% 72.42/72.67  (step @p740 :rule process_scope :premises (@p820) :args (@t438))
% 72.42/72.67  (step @p742 :rule eq_resolve :premises (@p740 @p737))
% 72.42/72.67  (step @p743 :rule implies_elim :premises (@p742))
% 72.42/72.67  (step @p744 :rule chain_m_resolution :premises (@p743 @p733) :args (@t440 @t166 (@list @t439)))
% 72.42/72.67  (step @p745 :rule cnf_or_pos :args (@t440))
% 72.42/72.67  (step @p746 :rule reordering :premises (@p745) :args ((or @t159 @t164 @t437 (not @t440))))
% 72.42/72.67  (step @p747 :rule chain_m_resolution :premises (@p746 @p504 @p497 @p744) :args (@t437 @t336 (@list @t158 @t164 @t440)))
% 72.42/72.67  (assume-push @p821 @t437)
% 72.42/72.67  (assume-push @p822 @t432)
% 72.42/72.67  (assume-push @p823 @t432)
% 72.42/72.67  (assume-push @p824 @t437)
% 72.42/72.67  (step @p752 :rule trans :premises (@p821 @p822))
% 72.42/72.67  (step-pop @p825 :rule scope :premises (@p752))
% 72.42/72.67  (step-pop @p826 :rule scope :premises (@p825))
% 72.42/72.67  (step @p753 :rule process_scope :premises (@p826) :args (@t417))
% 72.42/72.67  (step @p756 :rule and_intro :premises (@p822 @p821))
% 72.42/72.67  (step @p757 :rule modus_ponens :premises (@p756 @p753))
% 72.42/72.67  (step-pop @p827 :rule scope :premises (@p757))
% 72.42/72.67  (step-pop @p828 :rule scope :premises (@p827))
% 72.42/72.67  (step @p758 :rule process_scope :premises (@p828) :args (@t417))
% 72.42/72.67  (step @p761 :rule implies_elim :premises (@p758))
% 72.42/72.67  (step @p762 :rule cnf_and_neg :args (@t441))
% 72.42/72.67  (step @p763 :rule resolution :premises (@p762 @p761) :args (true @t441))
% 72.42/72.67  (step @p764 :rule chain_m_resolution :premises (@p763 @p747 @p717) :args (@t417 @t334 (@list @t437 @t432)))
% 72.42/72.67  (step @p765 :rule bool-double-not-elim :args (@t281))
% 72.42/72.67  (step @p766 :rule nary_cong :premises (@p499 @p765) :args ((or @t293 (not @t282))))
% 72.42/72.67  (step @p767 :rule cnf_or_neg :args (@t293 3))
% 72.42/72.67  (step @p768 :rule eq_resolve :premises (@p767 @p766))
% 72.42/72.67  (step @p769 :rule reordering :premises (@p768) :args ((or @t281 @t293)))
% 72.42/72.67  (step @p770 :rule chain_m_resolution :premises (@p769 @p411) :args (@t281 @t311 @t312))
% 72.42/72.67  (step @p771 :rule nary_cong :premises (@p683 @p682 @p678 @p681) :args (@t442))
% 72.42/72.67  (step @p772 :rule refl :args (@t281))
% 72.42/72.67  (step @p773 :rule cong :premises (@p772 @p771) :args ((=> @t281 @t442)))
% 72.42/72.67  (assume-push @p829 @t281)
% 72.42/72.67  (step @p775 :rule instantiate :premises (@p770) :args (@t414))
% 72.42/72.67  (step-pop @p830 :rule scope :premises (@p775))
% 72.42/72.67  (step @p776 :rule process_scope :premises (@p830) :args (@t442))
% 72.42/72.67  (step @p778 :rule eq_resolve :premises (@p776 @p773))
% 72.42/72.67  (step @p779 :rule implies_elim :premises (@p778))
% 72.42/72.67  (step @p780 :rule chain_m_resolution :premises (@p779 @p770) :args (@t443 @t166 (@list @t281)))
% 72.42/72.67  (step @p781 :rule cnf_or_pos :args (@t443))
% 72.42/72.67  (step @p782 :rule reordering :premises (@p781) :args ((or @t412 @t411 @t415 @t418 (not @t443))))
% 72.42/72.67  (step @p783 :rule chain_m_resolution :premises (@p782 @p507 @p663 @p764 @p780) :args (@t415 (@list false false false false) (@list @t157 @t403 @t417 @t443)))
% 72.42/72.67  (step @p784 :rule cnf_or_pos :args (@t419))
% 72.42/72.67  (step @p785 :rule reordering :premises (@p784) :args ((or @t412 @t411 @t418 @t416 (not @t419))))
% 72.42/72.67  (step @p786 false :rule chain_m_resolution :premises (@p785 @p783 @p764 @p693 @p663 @p507) :args (false (@list false false false false false) (@list @t415 @t417 @t419 @t403 @t157)))
% 72.42/72.67  )
% 72.42/72.67  % SZS output end Proof
% 72.42/72.67  % cvc5 exiting
%------------------------------------------------------------------------------