cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWC253+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 : n015.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 08:58:37 AM UTC 2026

% Result   : Theorem 34.34s 35.00s
% Output   : Proof 34.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC253+1 : TPTP v9.2.1. Released v2.4.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n015.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Tue Jun  2 19:33:49 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.27/0.53  %----Proving TF0_NAR, FOF, or CNF
% 34.34/35.00  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 34.34/35.00  --- Run --no-e-matching --full-saturate-quant at 6...
% 34.34/35.00  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 34.34/35.00  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 34.34/35.00  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 34.34/35.00  % SZS status Theorem
% 34.34/35.00  % SZS output start Proof
% 34.34/35.00  (
% 34.34/35.00  (declare-sort $$unsorted 0)
% 34.34/35.00  (declare-const tptp.tl (-> $$unsorted $$unsorted))
% 34.34/35.00  (declare-const tptp.hd (-> $$unsorted $$unsorted))
% 34.34/35.00  (declare-const tptp.duplicatefreeP (-> $$unsorted Bool))
% 34.34/35.00  (declare-const tptp.strictorderedP (-> $$unsorted Bool))
% 34.34/35.00  (declare-const tptp.geq (-> $$unsorted $$unsorted Bool))
% 34.34/35.00  (declare-const tptp.strictorderP (-> $$unsorted Bool))
% 34.34/35.00  (declare-const tptp.equalelemsP (-> $$unsorted Bool))
% 34.34/35.00  (declare-const tptp.totalorderP (-> $$unsorted Bool))
% 34.34/35.00  (declare-const tptp.neq (-> $$unsorted $$unsorted Bool))
% 34.34/35.00  (declare-const tptp.totalorderedP (-> $$unsorted Bool))
% 34.34/35.00  (declare-const tptp.singletonP (-> $$unsorted Bool))
% 34.34/35.00  (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted))
% 34.34/35.00  (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted))
% 34.34/35.00  (declare-const tptp.nil $$unsorted)
% 34.34/35.00  (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool))
% 34.34/35.00  (declare-const tptp.lt (-> $$unsorted $$unsorted Bool))
% 34.34/35.00  (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool))
% 34.34/35.00  (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool))
% 34.34/35.00  (declare-const tptp.gt (-> $$unsorted $$unsorted Bool))
% 34.34/35.00  (declare-const tptp.ssList (-> $$unsorted Bool))
% 34.34/35.00  (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool))
% 34.34/35.00  (declare-const tptp.cyclefreeP (-> $$unsorted Bool))
% 34.34/35.00  (declare-const tptp.ssItem (-> $$unsorted Bool))
% 34.34/35.00  (declare-const tptp.leq (-> $$unsorted $$unsorted Bool))
% 34.34/35.00  (define @t1 () (@var "V" $$unsorted))
% 34.34/35.00  (define @t2 () (@var "U" $$unsorted))
% 34.34/35.00  (define @t3 () (= @t2 @t1))
% 34.34/35.00  (define @t4 () (not @t3))
% 34.34/35.00  (define @t5 () (= (tptp.neq @t2 @t1) @t4))
% 34.34/35.00  (define @t6 () (tptp.ssItem @t1))
% 34.34/35.00  (define @t7 () (@list @t1))
% 34.34/35.00  (define @t8 () (tptp.ssItem @t2))
% 34.34/35.00  (define @t9 () (@list @t2))
% 34.34/35.00  (define @t10 () (@var "X" $$unsorted))
% 34.34/35.00  (define @t11 () (tptp.cons @t1 @t10))
% 34.34/35.00  (define @t12 () (@var "W" $$unsorted))
% 34.34/35.00  (define @t13 () (tptp.ssList @t10))
% 34.34/35.00  (define @t14 () (@list @t10))
% 34.34/35.00  (define @t15 () (tptp.ssList @t12))
% 34.34/35.00  (define @t16 () (@list @t12))
% 34.34/35.00  (define @t17 () (tptp.ssList @t2))
% 34.34/35.00  (define @t18 () (tptp.cons @t1 tptp.nil))
% 34.34/35.00  (define @t19 () (and @t6 (= @t18 @t2)))
% 34.34/35.00  (define @t20 () (exists @t7 @t19))
% 34.34/35.00  (define @t21 () (tptp.singletonP @t2))
% 34.34/35.00  (define @t22 () (= @t21 @t20))
% 34.34/35.00  (define @t23 () (=> @t17 @t22))
% 34.34/35.00  (define @t24 () (forall @t9 @t23))
% 34.34/35.00  (define @t25 () (tptp.app @t1 @t12))
% 34.34/35.00  (define @t26 () (tptp.frontsegP @t2 @t1))
% 34.34/35.00  (define @t27 () (tptp.ssList @t1))
% 34.34/35.00  (define @t28 () (tptp.app @t12 @t1))
% 34.34/35.00  (define @t29 () (tptp.rearsegP @t2 @t1))
% 34.34/35.00  (define @t30 () (tptp.segmentP @t2 @t1))
% 34.34/35.00  (define @t31 () (tptp.leq @t12 @t1))
% 34.34/35.00  (define @t32 () (tptp.leq @t1 @t12))
% 34.34/35.00  (define @t33 () (@var "Z" $$unsorted))
% 34.34/35.00  (define @t34 () (@var "Y" $$unsorted))
% 34.34/35.00  (define @t35 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t34)) (tptp.cons @t12 @t33)) @t2))
% 34.34/35.00  (define @t36 () (tptp.ssList @t33))
% 34.34/35.00  (define @t37 () (@list @t33))
% 34.34/35.00  (define @t38 () (tptp.ssList @t34))
% 34.34/35.00  (define @t39 () (@list @t34))
% 34.34/35.00  (define @t40 () (tptp.ssItem @t12))
% 34.34/35.00  (define @t41 () (tptp.lt @t1 @t12))
% 34.34/35.00  (define @t42 () (= @t1 @t12))
% 34.34/35.00  (define @t43 () (forall @t7 (=> @t27 @t5)))
% 34.34/35.00  (define @t44 () (=> @t17 @t43))
% 34.34/35.00  (define @t45 () (forall @t9 @t44))
% 34.34/35.00  (define @t46 () (tptp.cons @t1 @t2))
% 34.34/35.00  (define @t47 () (tptp.ssList tptp.nil))
% 34.34/35.00  (define @t48 () (not (= @t46 @t2)))
% 34.34/35.00  (define @t49 () (=> @t6 @t48))
% 34.34/35.00  (define @t50 () (forall @t7 @t49))
% 34.34/35.00  (define @t51 () (=> @t17 @t50))
% 34.34/35.00  (define @t52 () (forall @t9 @t51))
% 34.34/35.00  (define @t53 () (= @t1 @t2))
% 34.34/35.00  (define @t54 () (tptp.cons @t12 @t1))
% 34.34/35.00  (define @t55 () (and @t40 (= @t54 @t2)))
% 34.34/35.00  (define @t56 () (exists @t16 @t55))
% 34.34/35.00  (define @t57 () (and @t27 @t56))
% 34.34/35.00  (define @t58 () (exists @t7 @t57))
% 34.34/35.00  (define @t59 () (= tptp.nil @t2))
% 34.34/35.00  (define @t60 () (or @t59 @t58))
% 34.34/35.00  (define @t61 () (=> @t17 @t60))
% 34.34/35.00  (define @t62 () (forall @t9 @t61))
% 34.34/35.00  (define @t63 () (tptp.hd @t2))
% 34.34/35.00  (define @t64 () (tptp.ssItem @t63))
% 34.34/35.00  (define @t65 () (not @t59))
% 34.34/35.00  (define @t66 () (=> @t65 @t64))
% 34.34/35.00  (define @t67 () (=> @t17 @t66))
% 34.34/35.00  (define @t68 () (forall @t9 @t67))
% 34.34/35.00  (define @t69 () (tptp.hd @t46))
% 34.34/35.00  (define @t70 () (=> @t6 (= @t69 @t1)))
% 34.34/35.00  (define @t71 () (forall @t7 @t70))
% 34.34/35.00  (define @t72 () (=> @t17 @t71))
% 34.34/35.00  (define @t73 () (forall @t9 @t72))
% 34.34/35.00  (define @t74 () (tptp.tl @t2))
% 34.34/35.00  (define @t75 () (tptp.ssList @t74))
% 34.34/35.00  (define @t76 () (=> @t65 @t75))
% 34.34/35.00  (define @t77 () (=> @t17 @t76))
% 34.34/35.00  (define @t78 () (forall @t9 @t77))
% 34.34/35.00  (define @t79 () (tptp.tl @t46))
% 34.34/35.00  (define @t80 () (=> @t6 (= @t79 @t2)))
% 34.34/35.00  (define @t81 () (forall @t7 @t80))
% 34.34/35.00  (define @t82 () (=> @t17 @t81))
% 34.34/35.00  (define @t83 () (forall @t9 @t82))
% 34.34/35.00  (define @t84 () (tptp.app @t2 @t1))
% 34.34/35.00  (define @t85 () (tptp.ssList @t84))
% 34.34/35.00  (define @t86 () (forall @t7 (=> @t27 @t85)))
% 34.34/35.00  (define @t87 () (=> @t17 @t86))
% 34.34/35.00  (define @t88 () (forall @t9 @t87))
% 34.34/35.00  (define @t89 () (tptp.app @t1 @t2))
% 34.34/35.00  (define @t90 () (tptp.app tptp.nil @t2))
% 34.34/35.00  (define @t91 () (=> @t17 (= @t90 @t2)))
% 34.34/35.00  (define @t92 () (forall @t9 @t91))
% 34.34/35.00  (define @t93 () (tptp.leq @t1 @t2))
% 34.34/35.00  (define @t94 () (tptp.leq @t2 @t1))
% 34.34/35.00  (define @t95 () (tptp.geq @t2 @t1))
% 34.34/35.00  (define @t96 () (tptp.lt @t1 @t2))
% 34.34/35.00  (define @t97 () (tptp.lt @t2 @t1))
% 34.34/35.00  (define @t98 () (tptp.lt @t2 @t12))
% 34.34/35.00  (define @t99 () (tptp.gt @t2 @t1))
% 34.34/35.00  (define @t100 () (tptp.memberP @t12 @t2))
% 34.34/35.00  (define @t101 () (tptp.app @t12 @t2))
% 34.34/35.00  (define @t102 () (tptp.cons @t2 tptp.nil))
% 34.34/35.00  (define @t103 () (tptp.hd @t1))
% 34.34/35.00  (define @t104 () (= tptp.nil @t1))
% 34.34/35.00  (define @t105 () (not @t104))
% 34.34/35.00  (define @t106 () (tptp.cons @t2 @t1))
% 34.34/35.00  (define @t107 () (tptp.tl @t1))
% 34.34/35.00  (define @t108 () (tptp.cons @t63 @t74))
% 34.34/35.00  (define @t109 () (=> @t65 (= @t108 @t2)))
% 34.34/35.00  (define @t110 () (=> @t17 @t109))
% 34.34/35.00  (define @t111 () (forall @t9 @t110))
% 34.34/35.00  (define @t112 () (= @t12 @t2))
% 34.34/35.00  (define @t113 () (= @t28 @t84))
% 34.34/35.00  (define @t114 () (=> @t113 @t112))
% 34.34/35.00  (define @t115 () (=> @t15 @t114))
% 34.34/35.00  (define @t116 () (forall @t16 @t115))
% 34.34/35.00  (define @t117 () (=> @t27 @t116))
% 34.34/35.00  (define @t118 () (forall @t7 @t117))
% 34.34/35.00  (define @t119 () (=> @t17 @t118))
% 34.34/35.00  (define @t120 () (forall @t9 @t119))
% 34.34/35.00  (define @t121 () (and @t104 @t59))
% 34.34/35.00  (define @t122 () (= tptp.nil @t84))
% 34.34/35.00  (define @t123 () (= @t122 @t121))
% 34.34/35.00  (define @t124 () (=> @t27 @t123))
% 34.34/35.00  (define @t125 () (forall @t7 @t124))
% 34.34/35.00  (define @t126 () (=> @t17 @t125))
% 34.34/35.00  (define @t127 () (forall @t9 @t126))
% 34.34/35.00  (define @t128 () (tptp.hd @t84))
% 34.34/35.00  (define @t129 () (=> @t65 (= @t128 @t63)))
% 34.34/35.00  (define @t130 () (=> @t27 @t129))
% 34.34/35.00  (define @t131 () (forall @t7 @t130))
% 34.34/35.00  (define @t132 () (=> @t17 @t131))
% 34.34/35.00  (define @t133 () (forall @t9 @t132))
% 34.34/35.00  (define @t134 () (= (tptp.tl @t84) (tptp.app @t74 @t1)))
% 34.34/35.00  (define @t135 () (=> @t65 @t134))
% 34.34/35.00  (define @t136 () (=> @t27 @t135))
% 34.34/35.00  (define @t137 () (forall @t7 @t136))
% 34.34/35.00  (define @t138 () (=> @t17 @t137))
% 34.34/35.00  (define @t139 () (forall @t9 @t138))
% 34.34/35.00  (define @t140 () (tptp.neq @t1 tptp.nil))
% 34.34/35.00  (define @t141 () (not @t140))
% 34.34/35.00  (define @t142 () (or @t141 (tptp.neq @t10 tptp.nil)))
% 34.34/35.00  (define @t143 () (tptp.neq tptp.nil @t10))
% 34.34/35.00  (define @t144 () (tptp.app @t12 @t33))
% 34.34/35.00  (define @t145 () (tptp.tl @t10))
% 34.34/35.00  (define @t146 () (and @t36 (= @t145 @t33) (= @t144 @t34) @t143))
% 34.34/35.00  (define @t147 () (exists @t37 @t146))
% 34.34/35.00  (define @t148 () (= @t10 @t34))
% 34.34/35.00  (define @t149 () (not @t148))
% 34.34/35.00  (define @t150 () (and @t38 @t149 @t147))
% 34.34/35.00  (define @t151 () (exists @t39 @t150))
% 34.34/35.00  (define @t152 () (or @t141 @t151 @t21))
% 34.34/35.00  (define @t153 () (and @t152 @t142))
% 34.34/35.00  (define @t154 () (= @t2 @t12))
% 34.34/35.00  (define @t155 () (not @t154))
% 34.34/35.00  (define @t156 () (not (= @t1 @t10)))
% 34.34/35.00  (define @t157 () (or @t156 @t155 @t153))
% 34.34/35.00  (define @t158 () (=> @t13 @t157))
% 34.34/35.00  (define @t159 () (forall @t14 @t158))
% 34.34/35.00  (define @t160 () (=> @t15 @t159))
% 34.34/35.00  (define @t161 () (forall @t16 @t160))
% 34.34/35.00  (define @t162 () (=> @t27 @t161))
% 34.34/35.00  (define @t163 () (forall @t7 @t162))
% 34.34/35.00  (define @t164 () (=> @t17 @t163))
% 34.34/35.00  (define @t165 () (forall @t9 @t164))
% 34.34/35.00  (define @t166 () (not @t165))
% 34.34/35.00  (define @t167 () (@var "BOUND_VARIABLE_9369" $$unsorted))
% 34.34/35.00  (define @t168 () (tptp.ssList (tptp.app @t2 @t167)))
% 34.34/35.00  (define @t169 () (not (tptp.ssList @t167)))
% 34.34/35.00  (define @t170 () (not @t17))
% 34.34/35.00  (define @t171 () (or @t169 @t168))
% 34.34/35.00  (define @t172 () (or @t170 @t171))
% 34.34/35.00  (define @t173 () (forall (@list @t2 @t167) @t172))
% 34.34/35.00  (define @t174 () (@list @t167))
% 34.34/35.00  (define @t175 () (forall @t174 @t172))
% 34.34/35.00  (define @t176 () (forall @t174 @t171))
% 34.34/35.00  (define @t177 () (@list @t1))
% 34.34/35.00  (define @t178 () (or @t170 @t176))
% 34.34/35.00  (define @t179 () (not @t27))
% 34.34/35.00  (define @t180 () (forall @t7 (or @t179 @t85)))
% 34.34/35.00  (define @t181 () (@var "BOUND_VARIABLE_11040" $$unsorted))
% 34.34/35.00  (define @t182 () (tptp.tl @t181))
% 34.34/35.00  (define @t183 () (tptp.app @t2 @t182))
% 34.34/35.00  (define @t184 () (and (tptp.neq tptp.nil @t181) (tptp.ssList @t182) (tptp.ssList @t183) (not (= @t181 @t183))))
% 34.34/35.00  (define @t185 () (not (tptp.neq @t181 tptp.nil)))
% 34.34/35.00  (define @t186 () (not (tptp.ssList @t181)))
% 34.34/35.00  (define @t187 () (or @t170 @t21 @t186 @t185 @t184))
% 34.34/35.00  (define @t188 () (@list @t2 @t181))
% 34.34/35.00  (define @t189 () (forall @t188 @t187))
% 34.34/35.00  (define @t190 () (@quantifiers_skolemize @t189 1))
% 34.34/35.00  (define @t191 () (tptp.tl @t190))
% 34.34/35.00  (define @t192 () (@quantifiers_skolemize @t189 0))
% 34.34/35.00  (define @t193 () (@list @t192 @t191))
% 34.34/35.00  (define @t194 () (= @t2 tptp.nil))
% 34.34/35.00  (define @t195 () (or @t170 @t194 @t75))
% 34.34/35.00  (define @t196 () (not @t194))
% 34.34/35.00  (define @t197 () (not @t196))
% 34.34/35.00  (define @t198 () (=> @t196 @t75))
% 34.34/35.00  (define @t199 () (tptp.ssList @t191))
% 34.34/35.00  (define @t200 () (tptp.ssList @t190))
% 34.34/35.00  (define @t201 () (not @t200))
% 34.34/35.00  (define @t202 () (= @t190 tptp.nil))
% 34.34/35.00  (define @t203 () (or @t201 @t202 @t199))
% 34.34/35.00  (define @t204 () (forall @t9 @t195))
% 34.34/35.00  (define @t205 () (@list @t190))
% 34.34/35.00  (define @t206 () (= tptp.nil @t190))
% 34.34/35.00  (define @t207 () (or @t201 @t206 @t199))
% 34.34/35.00  (define @t208 () (@list false))
% 34.34/35.00  (define @t209 () (@var "BOUND_VARIABLE_9104" $$unsorted))
% 34.34/35.00  (define @t210 () (= (tptp.neq @t2 @t209) (not (= @t2 @t209))))
% 34.34/35.00  (define @t211 () (not (tptp.ssList @t209)))
% 34.34/35.00  (define @t212 () (or @t170 @t211 @t210))
% 34.34/35.00  (define @t213 () (or @t211 @t210))
% 34.34/35.00  (define @t214 () (or @t170 @t213))
% 34.34/35.00  (define @t215 () (@list @t2 @t209))
% 34.34/35.00  (define @t216 () (forall @t215 @t214))
% 34.34/35.00  (define @t217 () (@list @t209))
% 34.34/35.00  (define @t218 () (forall @t217 @t214))
% 34.34/35.00  (define @t219 () (forall @t217 @t213))
% 34.34/35.00  (define @t220 () (or @t170 @t219))
% 34.34/35.00  (define @t221 () (forall @t7 (or @t179 @t5)))
% 34.34/35.00  (define @t222 () (not @t202))
% 34.34/35.00  (define @t223 () (tptp.neq @t190 tptp.nil))
% 34.34/35.00  (define @t224 () (= @t223 @t222))
% 34.34/35.00  (define @t225 () (not @t47))
% 34.34/35.00  (define @t226 () (or @t201 @t225 @t224))
% 34.34/35.00  (define @t227 () (forall @t215 @t212))
% 34.34/35.00  (define @t228 () (not @t206))
% 34.34/35.00  (define @t229 () (= @t223 @t228))
% 34.34/35.00  (define @t230 () (or @t201 @t225 @t229))
% 34.34/35.00  (define @t231 () (or @t186 @t185 @t184))
% 34.34/35.00  (define @t232 () (or @t170 @t21 @t231))
% 34.34/35.00  (define @t233 () (forall @t188 @t232))
% 34.34/35.00  (define @t234 () (@list @t181))
% 34.34/35.00  (define @t235 () (forall @t234 @t232))
% 34.34/35.00  (define @t236 () (forall @t234 @t231))
% 34.34/35.00  (define @t237 () (or @t170 @t21 @t236))
% 34.34/35.00  (define @t238 () (tptp.app @t2 @t107))
% 34.34/35.00  (define @t239 () (tptp.ssList @t107))
% 34.34/35.00  (define @t240 () (tptp.neq tptp.nil @t1))
% 34.34/35.00  (define @t241 () (and @t240 @t239 (tptp.ssList @t238) (not (= @t1 @t238))))
% 34.34/35.00  (define @t242 () (or @t179 @t141 @t241))
% 34.34/35.00  (define @t243 () (forall @t7 @t242))
% 34.34/35.00  (define @t244 () (or @t170 @t21 @t243))
% 34.34/35.00  (define @t245 () (or @t21 @t170 @t243))
% 34.34/35.00  (define @t246 () (or @t21 @t170 @t242))
% 34.34/35.00  (define @t247 () (or @t179 @t141 @t21 @t170 @t241))
% 34.34/35.00  (define @t248 () (or @t170 @t241))
% 34.34/35.00  (define @t249 () (not (= @t2 @t2)))
% 34.34/35.00  (define @t250 () (or @t170 @t249 @t241))
% 34.34/35.00  (define @t251 () (tptp.app @t12 @t107))
% 34.34/35.00  (define @t252 () (and @t240 @t239 (tptp.ssList @t251) (not (= @t1 @t251))))
% 34.34/35.00  (define @t253 () (not @t15))
% 34.34/35.00  (define @t254 () (or @t155 @t253 @t155 @t252))
% 34.34/35.00  (define @t255 () (or @t253 @t155 @t252))
% 34.34/35.00  (define @t256 () (forall @t16 @t255))
% 34.34/35.00  (define @t257 () (or @t179 @t141 @t21 @t256))
% 34.34/35.00  (define @t258 () (or @t179 @t141 @t21 @t255))
% 34.34/35.00  (define @t259 () (or @t253 @t155 @t179 @t141 @t252 @t21))
% 34.34/35.00  (define @t260 () (or @t141 @t252 @t21))
% 34.34/35.00  (define @t261 () (and @t260 true))
% 34.34/35.00  (define @t262 () (or @t253 @t155 @t179 @t261))
% 34.34/35.00  (define @t263 () (and @t260 (or @t141 @t140)))
% 34.34/35.00  (define @t264 () (or @t155 @t179 @t263))
% 34.34/35.00  (define @t265 () (or @t179 @t263))
% 34.34/35.00  (define @t266 () (not (= @t1 @t1)))
% 34.34/35.00  (define @t267 () (or @t179 @t266 @t263))
% 34.34/35.00  (define @t268 () (tptp.app @t12 @t145))
% 34.34/35.00  (define @t269 () (= @t10 @t268))
% 34.34/35.00  (define @t270 () (not @t269))
% 34.34/35.00  (define @t271 () (tptp.ssList @t268))
% 34.34/35.00  (define @t272 () (tptp.ssList @t145))
% 34.34/35.00  (define @t273 () (and (or @t141 (and @t143 @t272 @t271 @t270) @t21) @t142))
% 34.34/35.00  (define @t274 () (not @t13))
% 34.34/35.00  (define @t275 () (or @t156 @t274 @t156 @t273))
% 34.34/35.00  (define @t276 () (or @t274 @t156 @t273))
% 34.34/35.00  (define @t277 () (forall @t14 @t276))
% 34.34/35.00  (define @t278 () (or @t155 @t277))
% 34.34/35.00  (define @t279 () (or @t155 @t276))
% 34.34/35.00  (define @t280 () (or @t274 @t156 @t155 @t273))
% 34.34/35.00  (define @t281 () (not @t271))
% 34.34/35.00  (define @t282 () (not @t281))
% 34.34/35.00  (define @t283 () (not @t272))
% 34.34/35.00  (define @t284 () (not @t283))
% 34.34/35.00  (define @t285 () (not @t143))
% 34.34/35.00  (define @t286 () (not @t285))
% 34.34/35.00  (define @t287 () (and @t286 @t284 @t282 @t270))
% 34.34/35.00  (define @t288 () (or @t281 @t269))
% 34.34/35.00  (define @t289 () (or @t285 @t283 @t281 @t269))
% 34.34/35.00  (define @t290 () (or @t141 (not @t289) @t21))
% 34.34/35.00  (define @t291 () (and @t290 @t142))
% 34.34/35.00  (define @t292 () (or @t156 @t155 @t291))
% 34.34/35.00  (define @t293 () (not (= @t268 @t268)))
% 34.34/35.00  (define @t294 () (or @t281 @t269 @t293))
% 34.34/35.00  (define @t295 () (not (= @t34 @t268)))
% 34.34/35.00  (define @t296 () (not @t38))
% 34.34/35.00  (define @t297 () (or @t295 @t296 @t148 @t295))
% 34.34/35.00  (define @t298 () (or @t296 @t148 @t295))
% 34.34/35.00  (define @t299 () (forall @t39 @t298))
% 34.34/35.00  (define @t300 () (or @t285 @t283 @t299))
% 34.34/35.00  (define @t301 () (or @t285 @t283 @t298))
% 34.34/35.00  (define @t302 () (or @t296 @t148 @t285 @t283 @t295))
% 34.34/35.00  (define @t303 () (or @t285 @t283 @t295))
% 34.34/35.00  (define @t304 () (not @t303))
% 34.34/35.00  (define @t305 () (not @t304))
% 34.34/35.00  (define @t306 () (not @t149))
% 34.34/35.00  (define @t307 () (or @t296 @t306 @t305))
% 34.34/35.00  (define @t308 () (and @t38 @t149 @t304))
% 34.34/35.00  (define @t309 () (forall @t39 (not @t308)))
% 34.34/35.00  (define @t310 () (not @t309))
% 34.34/35.00  (define @t311 () (or @t283 @t295))
% 34.34/35.00  (define @t312 () (not (= @t145 @t145)))
% 34.34/35.00  (define @t313 () (or @t283 @t312 @t295))
% 34.34/35.00  (define @t314 () (= @t34 @t144))
% 34.34/35.00  (define @t315 () (not @t314))
% 34.34/35.00  (define @t316 () (= @t33 @t145))
% 34.34/35.00  (define @t317 () (not @t316))
% 34.34/35.00  (define @t318 () (not @t36))
% 34.34/35.00  (define @t319 () (or @t317 @t318 @t317 @t315))
% 34.34/35.00  (define @t320 () (or @t318 @t317 @t315))
% 34.34/35.00  (define @t321 () (forall @t37 @t320))
% 34.34/35.00  (define @t322 () (or @t285 @t321))
% 34.34/35.00  (define @t323 () (or @t285 @t320))
% 34.34/35.00  (define @t324 () (or @t318 @t317 @t315 @t285))
% 34.34/35.00  (define @t325 () (and @t36 @t316 @t314 @t143))
% 34.34/35.00  (define @t326 () (forall @t37 (not @t325)))
% 34.34/35.00  (define @t327 () (not @t326))
% 34.34/35.00  (define @t328 () (tptp.app @t192 @t191))
% 34.34/35.00  (define @t329 () (= @t190 @t328))
% 34.34/35.00  (define @t330 () (not @t329))
% 34.34/35.00  (define @t331 () (tptp.ssList @t328))
% 34.34/35.00  (define @t332 () (tptp.neq tptp.nil @t190))
% 34.34/35.00  (define @t333 () (and @t332 @t199 @t331 @t330))
% 34.34/35.00  (define @t334 () (not @t223))
% 34.34/35.00  (define @t335 () (tptp.singletonP @t192))
% 34.34/35.00  (define @t336 () (tptp.ssList @t192))
% 34.34/35.00  (define @t337 () (not @t336))
% 34.34/35.00  (define @t338 () (or @t337 @t335 @t201 @t334 @t333))
% 34.34/35.00  (define @t339 () (@list true))
% 34.34/35.00  (define @t340 () (@list @t338))
% 34.34/35.00  (define @t341 () (@list false false false))
% 34.34/35.00  (define @t342 () (@list false false))
% 34.34/35.00  (define @t343 () (@list false true false))
% 34.34/35.00  (define @t344 () (not @t199))
% 34.34/35.00  (define @t345 () (or @t337 @t344 @t331))
% 34.34/35.00  (define @t346 () (= @t332 @t228))
% 34.34/35.00  (define @t347 () (or @t225 @t201 @t346))
% 34.34/35.00  (define @t348 () (not @t346))
% 34.34/35.00  (define @t349 () (@list true false))
% 34.34/35.00  (define @t350 () (not @t331))
% 34.34/35.00  (define @t351 () (not @t332))
% 34.34/35.00  (define @t352 () (= @t2 @t90))
% 34.34/35.00  (define @t353 () (@list @t191))
% 34.34/35.00  (define @t354 () (tptp.app tptp.nil @t191))
% 34.34/35.00  (define @t355 () (= @t191 @t354))
% 34.34/35.00  (define @t356 () (or @t344 @t355))
% 34.34/35.00  (define @t357 () (@var "BOUND_VARIABLE_9262" $$unsorted))
% 34.34/35.00  (define @t358 () (tptp.cons @t357 @t1))
% 34.34/35.00  (define @t359 () (not (= @t2 @t358)))
% 34.34/35.00  (define @t360 () (not (tptp.ssItem @t357)))
% 34.34/35.00  (define @t361 () (or @t179 @t360 @t359))
% 34.34/35.00  (define @t362 () (@list @t1 @t357))
% 34.34/35.00  (define @t363 () (not (forall @t362 @t361)))
% 34.34/35.00  (define @t364 () (or @t170 @t194 @t363))
% 34.34/35.00  (define @t365 () (or @t194 @t363))
% 34.34/35.00  (define @t366 () (or @t360 @t359))
% 34.34/35.00  (define @t367 () (or @t179 @t366))
% 34.34/35.00  (define @t368 () (forall @t362 @t367))
% 34.34/35.00  (define @t369 () (@list @t357))
% 34.34/35.00  (define @t370 () (forall @t369 @t367))
% 34.34/35.00  (define @t371 () (forall @t369 @t366))
% 34.34/35.00  (define @t372 () (@list @t12))
% 34.34/35.00  (define @t373 () (or @t179 @t371))
% 34.34/35.00  (define @t374 () (= @t2 @t54))
% 34.34/35.00  (define @t375 () (forall @t16 (or (not @t40) (not @t374))))
% 34.34/35.00  (define @t376 () (not @t375))
% 34.34/35.00  (define @t377 () (and @t27 @t376))
% 34.34/35.00  (define @t378 () (forall @t7 (not @t377)))
% 34.34/35.00  (define @t379 () (not @t378))
% 34.34/35.00  (define @t380 () (and @t40 @t374))
% 34.34/35.00  (define @t381 () (forall @t16 (not @t380)))
% 34.34/35.00  (define @t382 () (not @t381))
% 34.34/35.00  (define @t383 () (not (= @t192 @t358)))
% 34.34/35.00  (define @t384 () (or @t179 @t360 @t383))
% 34.34/35.00  (define @t385 () (forall @t362 @t384))
% 34.34/35.00  (define @t386 () (not @t385))
% 34.34/35.00  (define @t387 () (= @t192 tptp.nil))
% 34.34/35.00  (define @t388 () (or @t337 @t387 @t386))
% 34.34/35.00  (define @t389 () (forall @t9 @t364))
% 34.34/35.00  (define @t390 () (@list @t192))
% 34.34/35.00  (define @t391 () (forall @t362 (or @t179 @t360 (not (= @t358 @t192)))))
% 34.34/35.00  (define @t392 () (not @t391))
% 34.34/35.00  (define @t393 () (= tptp.nil @t192))
% 34.34/35.00  (define @t394 () (or @t337 @t393 @t392))
% 34.34/35.00  (define @t395 () (@var "BOUND_VARIABLE_10637" $$unsorted))
% 34.34/35.00  (define @t396 () (= @t63 (tptp.hd (tptp.app @t2 @t395))))
% 34.34/35.00  (define @t397 () (not (tptp.ssList @t395)))
% 34.34/35.00  (define @t398 () (or @t170 @t194 @t397 @t396))
% 34.34/35.00  (define @t399 () (or @t397 @t396))
% 34.34/35.00  (define @t400 () (or @t170 @t194 @t399))
% 34.34/35.00  (define @t401 () (@list @t2 @t395))
% 34.34/35.00  (define @t402 () (forall @t401 @t400))
% 34.34/35.00  (define @t403 () (@list @t395))
% 34.34/35.00  (define @t404 () (forall @t403 @t400))
% 34.34/35.00  (define @t405 () (forall @t403 @t399))
% 34.34/35.00  (define @t406 () (or @t170 @t194 @t405))
% 34.34/35.00  (define @t407 () (= @t63 @t128))
% 34.34/35.00  (define @t408 () (or @t179 @t407))
% 34.34/35.00  (define @t409 () (forall @t7 @t408))
% 34.34/35.00  (define @t410 () (or @t170 @t194 @t409))
% 34.34/35.00  (define @t411 () (or @t194 @t409))
% 34.34/35.00  (define @t412 () (or @t194 @t408))
% 34.34/35.00  (define @t413 () (or @t179 @t194 @t407))
% 34.34/35.00  (define @t414 () (=> @t196 @t407))
% 34.34/35.00  (define @t415 () (tptp.hd @t328))
% 34.34/35.00  (define @t416 () (= (tptp.hd @t192) @t415))
% 34.34/35.00  (define @t417 () (or @t337 @t387 @t344 @t416))
% 34.34/35.00  (define @t418 () (forall @t401 @t398))
% 34.34/35.00  (define @t419 () (or @t337 @t393 @t344 @t416))
% 34.34/35.00  (define @t420 () (@var "BOUND_VARIABLE_10664" $$unsorted))
% 34.34/35.00  (define @t421 () (= (tptp.tl (tptp.app @t2 @t420)) (tptp.app @t74 @t420)))
% 34.34/35.00  (define @t422 () (not (tptp.ssList @t420)))
% 34.34/35.00  (define @t423 () (or @t170 @t194 @t422 @t421))
% 34.34/35.00  (define @t424 () (or @t422 @t421))
% 34.34/35.00  (define @t425 () (or @t170 @t194 @t424))
% 34.34/35.00  (define @t426 () (@list @t2 @t420))
% 34.34/35.00  (define @t427 () (forall @t426 @t425))
% 34.34/35.00  (define @t428 () (@list @t420))
% 34.34/35.00  (define @t429 () (forall @t428 @t425))
% 34.34/35.00  (define @t430 () (forall @t428 @t424))
% 34.34/35.00  (define @t431 () (or @t170 @t194 @t430))
% 34.34/35.00  (define @t432 () (or @t179 @t134))
% 34.34/35.00  (define @t433 () (forall @t7 @t432))
% 34.34/35.00  (define @t434 () (or @t170 @t194 @t433))
% 34.34/35.00  (define @t435 () (or @t194 @t433))
% 34.34/35.00  (define @t436 () (or @t194 @t432))
% 34.34/35.00  (define @t437 () (or @t179 @t194 @t134))
% 34.34/35.00  (define @t438 () (=> @t196 @t134))
% 34.34/35.00  (define @t439 () (tptp.tl @t192))
% 34.34/35.00  (define @t440 () (tptp.app @t439 @t191))
% 34.34/35.00  (define @t441 () (= (tptp.tl @t328) @t440))
% 34.34/35.00  (define @t442 () (or @t337 @t387 @t344 @t441))
% 34.34/35.00  (define @t443 () (forall @t426 @t423))
% 34.34/35.00  (define @t444 () (or @t337 @t393 @t344 @t441))
% 34.34/35.00  (define @t445 () (@quantifiers_skolemize @t391 0))
% 34.34/35.00  (define @t446 () (@quantifiers_skolemize @t391 1))
% 34.34/35.00  (define @t447 () (tptp.cons @t446 @t445))
% 34.34/35.00  (define @t448 () (= @t192 @t447))
% 34.34/35.00  (define @t449 () (not @t448))
% 34.34/35.00  (define @t450 () (tptp.ssItem @t446))
% 34.34/35.00  (define @t451 () (not @t450))
% 34.34/35.00  (define @t452 () (tptp.ssList @t445))
% 34.34/35.00  (define @t453 () (not @t452))
% 34.34/35.00  (define @t454 () (or @t453 @t451 @t449))
% 34.34/35.00  (define @t455 () (not @t454))
% 34.34/35.00  (define @t456 () (not (= @t447 @t192)))
% 34.34/35.00  (define @t457 () (or @t453 @t451 @t456))
% 34.34/35.00  (define @t458 () (not @t457))
% 34.34/35.00  (define @t459 () (@var "BOUND_VARIABLE_9319" $$unsorted))
% 34.34/35.00  (define @t460 () (= @t459 (tptp.hd (tptp.cons @t459 @t2))))
% 34.34/35.00  (define @t461 () (not (tptp.ssItem @t459)))
% 34.34/35.00  (define @t462 () (or @t461 @t460))
% 34.34/35.00  (define @t463 () (or @t170 @t462))
% 34.34/35.00  (define @t464 () (forall (@list @t2 @t459) @t463))
% 34.34/35.00  (define @t465 () (@list @t459))
% 34.34/35.00  (define @t466 () (forall @t465 @t463))
% 34.34/35.00  (define @t467 () (forall @t465 @t462))
% 34.34/35.00  (define @t468 () (or @t170 @t467))
% 34.34/35.00  (define @t469 () (= @t1 @t69))
% 34.34/35.00  (define @t470 () (not @t6))
% 34.34/35.00  (define @t471 () (forall @t7 (or @t470 @t469)))
% 34.34/35.00  (define @t472 () (@list @t445 @t446))
% 34.34/35.00  (define @t473 () (tptp.hd @t447))
% 34.34/35.00  (define @t474 () (= @t446 @t473))
% 34.34/35.00  (define @t475 () (or @t453 @t451 @t474))
% 34.34/35.00  (define @t476 () (@var "BOUND_VARIABLE_9349" $$unsorted))
% 34.34/35.00  (define @t477 () (= @t2 (tptp.tl (tptp.cons @t476 @t2))))
% 34.34/35.00  (define @t478 () (not (tptp.ssItem @t476)))
% 34.34/35.00  (define @t479 () (or @t478 @t477))
% 34.34/35.00  (define @t480 () (or @t170 @t479))
% 34.34/35.00  (define @t481 () (forall (@list @t2 @t476) @t480))
% 34.34/35.00  (define @t482 () (@list @t476))
% 34.34/35.00  (define @t483 () (forall @t482 @t480))
% 34.34/35.00  (define @t484 () (forall @t482 @t479))
% 34.34/35.00  (define @t485 () (or @t170 @t484))
% 34.34/35.00  (define @t486 () (= @t2 @t79))
% 34.34/35.00  (define @t487 () (forall @t7 (or @t470 @t486)))
% 34.34/35.00  (define @t488 () (= @t445 (tptp.tl @t447)))
% 34.34/35.00  (define @t489 () (or @t453 @t451 @t488))
% 34.34/35.00  (define @t490 () (= @t354 (tptp.app @t445 @t191)))
% 34.34/35.00  (define @t491 () (and @t329 @t355 @t441 @t448 @t488))
% 34.34/35.00  (define @t492 () (@var "BOUND_VARIABLE_10452" $$unsorted))
% 34.34/35.00  (define @t493 () (= @t2 @t492))
% 34.34/35.00  (define @t494 () (@var "BOUND_VARIABLE_10450" $$unsorted))
% 34.34/35.00  (define @t495 () (not (= (tptp.app @t2 @t494) (tptp.app @t492 @t494))))
% 34.34/35.00  (define @t496 () (not (tptp.ssList @t492)))
% 34.34/35.00  (define @t497 () (not (tptp.ssList @t494)))
% 34.34/35.00  (define @t498 () (or @t497 @t496 @t495 @t493))
% 34.34/35.00  (define @t499 () (or @t170 @t498))
% 34.34/35.00  (define @t500 () (forall (@list @t2 @t494 @t492) @t499))
% 34.34/35.00  (define @t501 () (@list @t494 @t492))
% 34.34/35.00  (define @t502 () (forall @t501 @t499))
% 34.34/35.00  (define @t503 () (forall @t501 @t498))
% 34.34/35.00  (define @t504 () (@var "BOUND_VARIABLE_10429" $$unsorted))
% 34.34/35.00  (define @t505 () (or @t170 @t503))
% 34.34/35.00  (define @t506 () (= @t2 @t504))
% 34.34/35.00  (define @t507 () (tptp.app @t504 @t1))
% 34.34/35.00  (define @t508 () (not (tptp.ssList @t504)))
% 34.34/35.00  (define @t509 () (@list @t1 @t504))
% 34.34/35.00  (define @t510 () (forall @t509 (or @t179 @t508 (not (= @t84 @t507)) @t506)))
% 34.34/35.00  (define @t511 () (not (= @t507 @t84)))
% 34.34/35.00  (define @t512 () (or @t179 @t508 @t511 @t506))
% 34.34/35.00  (define @t513 () (or @t508 @t511 @t506))
% 34.34/35.00  (define @t514 () (or @t179 @t513))
% 34.34/35.00  (define @t515 () (forall @t509 @t514))
% 34.34/35.00  (define @t516 () (@list @t504))
% 34.34/35.00  (define @t517 () (forall @t516 @t514))
% 34.34/35.00  (define @t518 () (forall @t516 @t513))
% 34.34/35.00  (define @t519 () (or @t179 @t518))
% 34.34/35.00  (define @t520 () (not @t113))
% 34.34/35.00  (define @t521 () (or @t253 @t520 @t154))
% 34.34/35.00  (define @t522 () (forall @t16 @t521))
% 34.34/35.00  (define @t523 () (=> @t113 @t154))
% 34.34/35.00  (define @t524 () (= tptp.nil @t445))
% 34.34/35.00  (define @t525 () (not @t490))
% 34.34/35.00  (define @t526 () (or @t225 @t344 @t453 @t525 @t524))
% 34.34/35.00  (define @t527 () (= @t2 @t18))
% 34.34/35.00  (define @t528 () (= @t21 (not (forall @t7 (or @t470 (not @t527))))))
% 34.34/35.00  (define @t529 () (and @t6 @t527))
% 34.34/35.00  (define @t530 () (forall @t7 (not @t529)))
% 34.34/35.00  (define @t531 () (not @t530))
% 34.34/35.00  (define @t532 () (not (= @t192 @t18)))
% 34.34/35.00  (define @t533 () (or @t470 @t532))
% 34.34/35.00  (define @t534 () (forall @t7 @t533))
% 34.34/35.00  (define @t535 () (not @t534))
% 34.34/35.00  (define @t536 () (= @t335 @t535))
% 34.34/35.00  (define @t537 () (or @t337 @t536))
% 34.34/35.00  (define @t538 () (forall @t9 (or @t170 @t528)))
% 34.34/35.00  (define @t539 () (forall @t7 (or @t470 (not (= @t18 @t192)))))
% 34.34/35.00  (define @t540 () (not @t539))
% 34.34/35.00  (define @t541 () (= @t335 @t540))
% 34.34/35.00  (define @t542 () (or @t337 @t541))
% 34.34/35.00  (define @t543 () (not @t541))
% 34.34/35.00  (define @t544 () (tptp.hd @t190))
% 34.34/35.00  (define @t545 () (tptp.cons @t544 tptp.nil))
% 34.34/35.00  (define @t546 () (not (= @t545 @t192)))
% 34.34/35.00  (define @t547 () (tptp.ssItem @t544))
% 34.34/35.00  (define @t548 () (not @t547))
% 34.34/35.00  (define @t549 () (or @t548 @t546))
% 34.34/35.00  (define @t550 () (= @t192 @t545))
% 34.34/35.00  (define @t551 () (not @t550))
% 34.34/35.00  (define @t552 () (or @t548 @t551))
% 34.34/35.00  (define @t553 () (or @t170 @t194 @t64))
% 34.34/35.00  (define @t554 () (=> @t196 @t64))
% 34.34/35.00  (define @t555 () (or @t201 @t202 @t547))
% 34.34/35.00  (define @t556 () (forall @t9 @t553))
% 34.34/35.00  (define @t557 () (or @t201 @t206 @t547))
% 34.34/35.00  (define @t558 () (@list @t556))
% 34.34/35.00  (define @t559 () (and @t329 @t416 @t448 @t474 @t524))
% 34.34/35.00  (define @t560 () (= @t2 @t108))
% 34.34/35.00  (define @t561 () (or @t170 @t194 @t560))
% 34.34/35.00  (define @t562 () (=> @t196 @t560))
% 34.34/35.00  (define @t563 () (tptp.tl @t191))
% 34.34/35.00  (define @t564 () (tptp.hd @t191))
% 34.34/35.00  (define @t565 () (tptp.cons @t564 @t563))
% 34.34/35.00  (define @t566 () (= @t191 @t565))
% 34.34/35.00  (define @t567 () (= @t191 tptp.nil))
% 34.34/35.00  (define @t568 () (or @t344 @t567 @t566))
% 34.34/35.00  (define @t569 () (forall @t9 @t561))
% 34.34/35.00  (define @t570 () (= tptp.nil @t191))
% 34.34/35.00  (define @t571 () (or @t344 @t570 @t566))
% 34.34/35.00  (define @t572 () (@var "BOUND_VARIABLE_10597" $$unsorted))
% 34.34/35.00  (define @t573 () (and (= @t572 tptp.nil) @t194))
% 34.34/35.00  (define @t574 () (= tptp.nil (tptp.app @t2 @t572)))
% 34.34/35.00  (define @t575 () (= @t574 @t573))
% 34.34/35.00  (define @t576 () (not (tptp.ssList @t572)))
% 34.34/35.00  (define @t577 () (or @t170 @t576 @t575))
% 34.34/35.00  (define @t578 () (or @t576 @t575))
% 34.34/35.00  (define @t579 () (or @t170 @t578))
% 34.34/35.00  (define @t580 () (@list @t2 @t572))
% 34.34/35.00  (define @t581 () (forall @t580 @t579))
% 34.34/35.00  (define @t582 () (@list @t572))
% 34.34/35.00  (define @t583 () (forall @t582 @t579))
% 34.34/35.00  (define @t584 () (forall @t582 @t578))
% 34.34/35.00  (define @t585 () (or @t170 @t584))
% 34.34/35.00  (define @t586 () (= @t122 (and (= @t1 tptp.nil) @t194)))
% 34.34/35.00  (define @t587 () (forall @t7 (or @t179 @t586)))
% 34.34/35.00  (define @t588 () (and @t570 @t387))
% 34.34/35.00  (define @t589 () (= tptp.nil @t328))
% 34.34/35.00  (define @t590 () (= @t589 @t588))
% 34.34/35.00  (define @t591 () (or @t337 @t344 @t590))
% 34.34/35.00  (define @t592 () (forall @t580 (or @t170 @t576 (= @t574 (and (= tptp.nil @t572) @t194)))))
% 34.34/35.00  (define @t593 () (and @t570 @t393))
% 34.34/35.00  (define @t594 () (= @t589 @t593))
% 34.34/35.00  (define @t595 () (or @t337 @t344 @t594))
% 34.34/35.00  (define @t596 () (not @t593))
% 34.34/35.00  (define @t597 () (@var "BOUND_VARIABLE_9148" $$unsorted))
% 34.34/35.00  (define @t598 () (not (= @t2 (tptp.cons @t597 @t2))))
% 34.34/35.00  (define @t599 () (not (tptp.ssItem @t597)))
% 34.34/35.00  (define @t600 () (or @t599 @t598))
% 34.34/35.00  (define @t601 () (or @t170 @t600))
% 34.34/35.00  (define @t602 () (forall (@list @t2 @t597) @t601))
% 34.34/35.00  (define @t603 () (@list @t597))
% 34.34/35.00  (define @t604 () (forall @t603 @t601))
% 34.34/35.00  (define @t605 () (forall @t603 @t600))
% 34.34/35.00  (define @t606 () (or @t170 @t605))
% 34.34/35.00  (define @t607 () (not (= @t2 @t46)))
% 34.34/35.00  (define @t608 () (forall @t7 (or @t470 @t607)))
% 34.34/35.00  (define @t609 () (tptp.ssItem @t564))
% 34.34/35.00  (define @t610 () (or @t344 @t567 @t609))
% 34.34/35.00  (define @t611 () (or @t344 @t570 @t609))
% 34.34/35.00  (define @t612 () (= @t190 (tptp.cons @t564 @t190)))
% 34.34/35.00  (define @t613 () (not @t612))
% 34.34/35.00  (define @t614 () (not @t609))
% 34.34/35.00  (define @t615 () (or @t201 @t614 @t613))
% 34.34/35.00  (define @t616 () (and @t329 @t393 @t355 @t566))
% 34.34/35.00  (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5)))))
% 34.34/35.00  (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4)))))
% 34.34/35.00  (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)))))))))))
% 34.34/35.00  (assume @p4 @t24)
% 34.34/35.00  (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t26 (exists @t16 (and @t15 (= @t25 @t2)))))))))
% 34.34/35.00  (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t29 (exists @t16 (and @t15 (= @t28 @t2)))))))))
% 34.34/35.00  (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t30 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t28 @t10) @t2)))))))))))
% 34.34/35.00  (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (not (and @t32 @t31)))))))))))))))))
% 34.34/35.00  (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (or @t32 @t31))))))))))))))))
% 34.34/35.00  (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (or @t41 (tptp.lt @t12 @t1)))))))))))))))))
% 34.34/35.00  (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 @t32)))))))))))))))
% 34.34/35.00  (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 @t41)))))))))))))))
% 34.34/35.00  (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (not @t42))))))))))))))))
% 34.34/35.00  (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t34))) @t2) @t42)))))))))))))
% 34.34/35.00  (assume @p15 @t45)
% 34.34/35.00  (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t46))))))
% 34.34/35.00  (assume @p17 @t47)
% 34.34/35.00  (assume @p18 @t52)
% 34.34/35.00  (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t40 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t53)))))))))))
% 34.34/35.00  (assume @p20 @t62)
% 34.34/35.00  (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t46)))))))
% 34.34/35.00  (assume @p22 @t68)
% 34.34/35.00  (assume @p23 @t73)
% 34.34/35.00  (assume @p24 @t78)
% 34.34/35.00  (assume @p25 @t83)
% 34.34/35.00  (assume @p26 @t88)
% 34.34/35.00  (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t40 (= (tptp.cons @t12 @t89) (tptp.app @t54 @t2)))))))))
% 34.34/35.00  (assume @p28 @t92)
% 34.34/35.00  (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t94 @t93) @t3))))))
% 34.34/35.00  (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t94 @t32) (tptp.leq @t2 @t12)))))))))
% 34.34/35.00  (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2))))
% 34.34/35.00  (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t95 @t93))))))
% 34.34/35.00  (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t97 (not @t96)))))))
% 34.34/35.00  (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t97 @t41) @t98))))))))
% 34.34/35.00  (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t99 @t96))))))
% 34.34/35.00  (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.memberP @t25 @t2) (or (tptp.memberP @t1 @t2) @t100)))))))))
% 34.34/35.00  (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t100)))))))))
% 34.34/35.00  (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2)))))
% 34.34/35.00  (assume @p39 (not (tptp.singletonP tptp.nil)))
% 34.34/35.00  (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t26 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12)))))))))
% 34.34/35.00  (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t26 (tptp.frontsegP @t1 @t2)) @t3))))))
% 34.34/35.00  (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2))))
% 34.34/35.00  (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t26 (tptp.frontsegP (tptp.app @t2 @t12) @t1)))))))))
% 34.34/35.00  (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))))))))))))
% 34.34/35.00  (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil))))
% 34.34/35.00  (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t59))))
% 34.34/35.00  (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t29 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12)))))))))
% 34.34/35.00  (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t29 (tptp.rearsegP @t1 @t2)) @t3))))))
% 34.34/35.00  (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2))))
% 34.34/35.00  (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t29 (tptp.rearsegP @t101 @t1)))))))))
% 34.34/35.00  (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil))))
% 34.34/35.00  (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t59))))
% 34.34/35.00  (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t30 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12)))))))))
% 34.34/35.00  (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t30 (tptp.segmentP @t1 @t2)) @t3))))))
% 34.34/35.00  (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2))))
% 34.34/35.00  (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t30 (tptp.segmentP (tptp.app @t101 @t10) @t1)))))))))))
% 34.34/35.00  (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil))))
% 34.34/35.00  (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t59))))
% 34.34/35.00  (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t102))))
% 34.34/35.00  (assume @p60 (tptp.cyclefreeP tptp.nil))
% 34.34/35.00  (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t102))))
% 34.34/35.00  (assume @p62 (tptp.totalorderP tptp.nil))
% 34.34/35.00  (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t102))))
% 34.34/35.00  (assume @p64 (tptp.strictorderP tptp.nil))
% 34.34/35.00  (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t102))))
% 34.34/35.00  (assume @p66 (tptp.totalorderedP tptp.nil))
% 34.34/35.00  (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.totalorderedP @t106) (or @t104 (and @t105 (tptp.totalorderedP @t1) (tptp.leq @t2 @t103)))))))))
% 34.34/35.00  (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t102))))
% 34.34/35.00  (assume @p69 (tptp.strictorderedP tptp.nil))
% 34.34/35.00  (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.strictorderedP @t106) (or @t104 (and @t105 (tptp.strictorderedP @t1) (tptp.lt @t2 @t103)))))))))
% 34.34/35.00  (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t102))))
% 34.34/35.00  (assume @p72 (tptp.duplicatefreeP tptp.nil))
% 34.34/35.00  (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t102))))
% 34.34/35.00  (assume @p74 (tptp.equalelemsP tptp.nil))
% 34.34/35.00  (assume @p75 (forall @t9 (=> @t17 (=> @t65 (exists @t7 (and @t6 (= @t63 @t1)))))))
% 34.34/35.00  (assume @p76 (forall @t9 (=> @t17 (=> @t65 (exists @t7 (and @t27 (= @t74 @t1)))))))
% 34.34/35.00  (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t105 @t65 (= @t103 @t63) (= @t107 @t74)) @t53))))))
% 34.34/35.00  (assume @p78 @t111)
% 34.34/35.00  (assume @p79 @t120)
% 34.34/35.00  (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t25 @t89) @t112))))))))
% 34.34/35.00  (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t46 (tptp.app @t18 @t2)))))))
% 34.34/35.00  (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.app @t84 @t12) (tptp.app @t2 @t25)))))))))
% 34.34/35.00  (assume @p83 @t127)
% 34.34/35.00  (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2))))
% 34.34/35.00  (assume @p85 @t133)
% 34.34/35.00  (assume @p86 @t139)
% 34.34/35.00  (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t95 (tptp.geq @t1 @t2)) @t3))))))
% 34.34/35.00  (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t95 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12)))))))))
% 34.34/35.00  (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2))))
% 34.34/35.00  (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2)))))
% 34.34/35.00  (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t94 @t41) @t98))))))))
% 34.34/35.00  (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t94 (or @t3 @t97)))))))
% 34.34/35.00  (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t97 (and @t4 @t94)))))))
% 34.34/35.00  (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t99 (not (tptp.gt @t1 @t2))))))))
% 34.34/35.00  (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t99 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12)))))))))
% 34.34/35.00  (assume @p96 @t166)
% 34.34/35.00  (assume @p97 true)
% 34.34/35.00  (step @p98 :rule aci_norm :args ((= @t172 (or @t170 @t169 @t168))))
% 34.34/35.00  (step @p99 :rule cong :premises (@p98) :args (@t173))
% 34.34/35.00  (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t175) @t173)))
% 34.34/35.00  (step @p101 :rule alpha_equiv :args (@t176 (@list @t167) @t177))
% 34.34/35.00  (step @p102 :rule refl :args (@t170))
% 34.34/35.00  (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t178))
% 34.34/35.00  (step @p104 :rule quant-miniscope-or :args ((= @t175 @t178)))
% 34.34/35.00  (step @p105 :rule trans :premises (@p104 @p103))
% 34.34/35.00  (step @p106 :rule symm :premises (@p105))
% 34.34/35.00  (step @p107 :rule cong :premises (@p106) :args ((forall @t9 (or @t170 @t180))))
% 34.34/35.00  (step @p108 :rule trans :premises (@p107 @p100))
% 34.34/35.00  (step @p109 :rule trans :premises (@p108 @p99))
% 34.34/35.00  (step @p110 :rule bool-impl-elim :args (@t17 @t180))
% 34.34/35.00  (step @p111 :rule cong :premises (@p110) :args ((forall @t9 (=> @t17 @t180))))
% 34.34/35.00  (step @p112 :rule trans :premises (@p111 @p109))
% 34.34/35.00  (step @p113 :rule bool-impl-elim :args (@t27 @t85))
% 34.34/35.00  (step @p114 :rule cong :premises (@p113) :args (@t86))
% 34.34/35.00  (step @p115 :rule refl :args (@t17))
% 34.34/35.00  (step @p116 :rule cong :premises (@p115 @p114) :args (@t87))
% 34.34/35.00  (step @p117 :rule cong :premises (@p116) :args (@t88))
% 34.34/35.00  (step @p118 :rule trans :premises (@p117 @p112))
% 34.34/35.00  (step @p119 :rule eq_resolve :premises (@p26 @p118))
% 34.34/35.00  (step @p120 :rule instantiate :premises (@p119) :args (@t193))
% 34.34/35.00  (step @p121 :rule aci_norm :args ((= (or @t170 (or @t194 @t75)) @t195)))
% 34.34/35.00  (step @p122 :rule refl :args (@t75))
% 34.34/35.00  (step @p123 :rule bool-double-not-elim :args (@t194))
% 34.34/35.00  (step @p124 :rule nary_cong :premises (@p123 @p122) :args ((or @t197 @t75)))
% 34.34/35.00  (step @p125 :rule bool-impl-elim :args (@t196 @t75))
% 34.34/35.00  (step @p126 :rule trans :premises (@p125 @p124))
% 34.34/35.00  (step @p127 :rule nary_cong :premises (@p102 @p126) :args ((or @t170 @t198)))
% 34.34/35.00  (step @p128 :rule trans :premises (@p127 @p121))
% 34.34/35.00  (step @p129 :rule bool-impl-elim :args (@t17 @t198))
% 34.34/35.00  (step @p130 :rule trans :premises (@p129 @p128))
% 34.34/35.00  (step @p131 :rule cong :premises (@p130) :args ((forall @t9 (=> @t17 @t198))))
% 34.34/35.00  (step @p132 :rule refl :args (@t75))
% 34.34/35.00  (step @p133 :rule eq-symm :args (tptp.nil @t2))
% 34.34/35.00  (step @p134 :rule cong :premises (@p133) :args (@t65))
% 34.34/35.00  (step @p135 :rule cong :premises (@p134 @p132) :args (@t76))
% 34.34/35.00  (step @p136 :rule cong :premises (@p115 @p135) :args (@t77))
% 34.34/35.00  (step @p137 :rule cong :premises (@p136) :args (@t78))
% 34.34/35.00  (step @p138 :rule trans :premises (@p137 @p131))
% 34.34/35.00  (step @p139 :rule eq_resolve :premises (@p24 @p138))
% 34.34/35.00  (step @p140 :rule refl :args (@t199))
% 34.34/35.00  (step @p141 :rule eq-symm :args (@t190 tptp.nil))
% 34.34/35.00  (step @p142 :rule refl :args (@t201))
% 34.34/35.00  (step @p143 :rule nary_cong :premises (@p142 @p141 @p140) :args (@t203))
% 34.34/35.00  (step @p144 :rule refl :args (@t204))
% 34.34/35.00  (step @p145 :rule cong :premises (@p144 @p143) :args ((=> @t204 @t203)))
% 34.34/35.00  (assume-push @p1144 @t204)
% 34.34/35.00  (step @p147 :rule instantiate :premises (@p139) :args (@t205))
% 34.34/35.00  (step-pop @p1145 :rule scope :premises (@p147))
% 34.34/35.00  (step @p148 :rule process_scope :premises (@p1145) :args (@t203))
% 34.34/35.00  (step @p150 :rule eq_resolve :premises (@p148 @p145))
% 34.34/35.00  (step @p151 :rule implies_elim :premises (@p150))
% 34.34/35.00  (step @p152 :rule chain_m_resolution :premises (@p151 @p139) :args (@t207 @t208 (@list @t204)))
% 34.34/35.00  (step @p153 :rule aci_norm :args ((= @t214 @t212)))
% 34.34/35.00  (step @p154 :rule cong :premises (@p153) :args (@t216))
% 34.34/35.00  (step @p155 :rule quant-merge-prenex :args ((= (forall @t9 @t218) @t216)))
% 34.34/35.00  (step @p156 :rule alpha_equiv :args (@t219 (@list @t209) @t177))
% 34.34/35.00  (step @p157 :rule nary_cong :premises (@p102 @p156) :args (@t220))
% 34.34/35.00  (step @p158 :rule quant-miniscope-or :args ((= @t218 @t220)))
% 34.34/35.00  (step @p159 :rule trans :premises (@p158 @p157))
% 34.34/35.00  (step @p160 :rule symm :premises (@p159))
% 34.34/35.00  (step @p161 :rule cong :premises (@p160) :args ((forall @t9 (or @t170 @t221))))
% 34.34/35.00  (step @p162 :rule trans :premises (@p161 @p155))
% 34.34/35.00  (step @p163 :rule trans :premises (@p162 @p154))
% 34.34/35.00  (step @p164 :rule bool-impl-elim :args (@t17 @t221))
% 34.34/35.00  (step @p165 :rule cong :premises (@p164) :args ((forall @t9 (=> @t17 @t221))))
% 34.34/35.00  (step @p166 :rule trans :premises (@p165 @p163))
% 34.34/35.00  (step @p167 :rule bool-impl-elim :args (@t27 @t5))
% 34.34/35.00  (step @p168 :rule cong :premises (@p167) :args (@t43))
% 34.34/35.00  (step @p169 :rule cong :premises (@p115 @p168) :args (@t44))
% 34.34/35.00  (step @p170 :rule cong :premises (@p169) :args (@t45))
% 34.34/35.00  (step @p171 :rule trans :premises (@p170 @p166))
% 34.34/35.00  (step @p172 :rule eq_resolve :premises (@p15 @p171))
% 34.34/35.00  (step @p173 :rule cong :premises (@p141) :args (@t222))
% 34.34/35.00  (step @p174 :rule refl :args (@t223))
% 34.34/35.00  (step @p175 :rule cong :premises (@p174 @p173) :args (@t224))
% 34.34/35.00  (step @p176 :rule refl :args (@t225))
% 34.34/35.00  (step @p177 :rule nary_cong :premises (@p142 @p176 @p175) :args (@t226))
% 34.34/35.00  (step @p178 :rule refl :args (@t227))
% 34.34/35.00  (step @p179 :rule cong :premises (@p178 @p177) :args ((=> @t227 @t226)))
% 34.34/35.00  (assume-push @p1146 @t227)
% 34.34/35.00  (step @p181 :rule instantiate :premises (@p172) :args ((@list @t190 tptp.nil)))
% 34.34/35.00  (step-pop @p1147 :rule scope :premises (@p181))
% 34.34/35.00  (step @p182 :rule process_scope :premises (@p1147) :args (@t226))
% 34.34/35.00  (step @p184 :rule eq_resolve :premises (@p182 @p179))
% 34.34/35.00  (step @p185 :rule implies_elim :premises (@p184))
% 34.34/35.00  (step @p186 :rule chain_m_resolution :premises (@p185 @p172) :args (@t230 @t208 (@list @t227)))
% 34.34/35.00  (step @p187 :rule aci_norm :args ((= @t232 @t187)))
% 34.34/35.00  (step @p188 :rule cong :premises (@p187) :args (@t233))
% 34.34/35.00  (step @p189 :rule quant-merge-prenex :args ((= (forall @t9 @t235) @t233)))
% 34.34/35.00  (step @p190 :rule alpha_equiv :args (@t236 (@list @t181) @t177))
% 34.34/35.00  (step @p191 :rule refl :args (@t21))
% 34.34/35.00  (step @p192 :rule nary_cong :premises (@p102 @p191 @p190) :args (@t237))
% 34.34/35.00  (step @p193 :rule quant-miniscope-or :args ((= @t235 @t237)))
% 34.34/35.00  (step @p194 :rule trans :premises (@p193 @p192))
% 34.34/35.00  (step @p195 :rule symm :premises (@p194))
% 34.34/35.00  (step @p196 :rule cong :premises (@p195) :args ((forall @t9 @t244)))
% 34.34/35.00  (step @p197 :rule trans :premises (@p196 @p189))
% 34.34/35.00  (step @p198 :rule trans :premises (@p197 @p188))
% 34.34/35.00  (step @p199 :rule aci_norm :args ((= (or @t170 @t245) @t244)))
% 34.34/35.00  (step @p200 :rule bool-impl-elim :args (@t17 @t245))
% 34.34/35.00  (step @p201 :rule trans :premises (@p200 @p199))
% 34.34/35.00  (step @p202 :rule cong :premises (@p201) :args ((forall @t9 (=> @t17 @t245))))
% 34.34/35.00  (step @p203 :rule trans :premises (@p202 @p198))
% 34.34/35.00  (step @p204 :rule quant-miniscope-or :args ((= (forall @t7 @t246) @t245)))
% 34.34/35.00  (step @p205 :rule aci_norm :args ((= @t247 @t246)))
% 34.34/35.00  (step @p206 :rule cong :premises (@p205) :args ((forall @t7 @t247)))
% 34.34/35.00  (step @p207 :rule trans :premises (@p206 @p204))
% 34.34/35.00  (step @p208 :rule aci_norm :args ((= (or @t179 @t247) @t247)))
% 34.34/35.00  (step @p209 :rule bool-impl-elim :args (@t27 @t247))
% 34.34/35.00  (step @p210 :rule trans :premises (@p209 @p208))
% 34.34/35.00  (step @p211 :rule cong :premises (@p210) :args ((forall @t7 (=> @t27 @t247))))
% 34.34/35.00  (step @p212 :rule trans :premises (@p211 @p207))
% 34.34/35.00  (step @p213 :rule aci_norm :args ((= (or @t179 @t141 @t21 @t248) @t247)))
% 34.34/35.00  (step @p214 :rule aci_norm :args ((= (or @t170 false @t241) @t248)))
% 34.34/35.00  (step @p215 :rule refl :args (@t241))
% 34.34/35.00  (step @p216 :rule evaluate :args ((not true)))
% 34.34/35.00  (step @p217 :rule eq-refl :args (@t2))
% 34.34/35.00  (step @p218 :rule cong :premises (@p217) :args (@t249))
% 34.34/35.00  (step @p219 :rule trans :premises (@p218 @p216))
% 34.34/35.00  (step @p220 :rule refl :args (@t170))
% 34.34/35.00  (step @p221 :rule nary_cong :premises (@p220 @p219 @p215) :args (@t250))
% 34.34/35.00  (step @p222 :rule trans :premises (@p221 @p214))
% 34.34/35.00  (step @p223 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t112) @t253 @t155 @t252)) @t250)))
% 34.34/35.00  (step @p224 :rule refl :args (@t252))
% 34.34/35.00  (step @p225 :rule refl :args (@t155))
% 34.34/35.00  (step @p226 :rule refl :args (@t253))
% 34.34/35.00  (step @p227 :rule eq-symm :args (@t2 @t12))
% 34.34/35.00  (step @p228 :rule cong :premises (@p227) :args (@t155))
% 34.34/35.00  (step @p229 :rule nary_cong :premises (@p228 @p226 @p225 @p224) :args (@t254))
% 34.34/35.00  (step @p230 :rule aci_norm :args ((= @t255 @t254)))
% 34.34/35.00  (step @p231 :rule trans :premises (@p230 @p229))
% 34.34/35.00  (step @p232 :rule cong :premises (@p231) :args (@t256))
% 34.34/35.00  (step @p233 :rule trans :premises (@p232 @p223))
% 34.34/35.00  (step @p234 :rule trans :premises (@p233 @p222))
% 34.34/35.00  (step @p235 :rule refl :args (@t21))
% 34.34/35.00  (step @p236 :rule refl :args (@t141))
% 34.34/35.00  (step @p237 :rule refl :args (@t179))
% 34.34/35.00  (step @p238 :rule nary_cong :premises (@p237 @p236 @p235 @p234) :args (@t257))
% 34.34/35.00  (step @p239 :rule trans :premises (@p238 @p213))
% 34.34/35.00  (step @p240 :rule quant-miniscope-or :args ((= (forall @t16 @t258) @t257)))
% 34.34/35.00  (step @p241 :rule aci_norm :args ((= @t259 @t258)))
% 34.34/35.00  (step @p242 :rule cong :premises (@p241) :args ((forall @t16 @t259)))
% 34.34/35.00  (step @p243 :rule trans :premises (@p242 @p240))
% 34.34/35.00  (step @p244 :rule trans :premises (@p243 @p239))
% 34.34/35.00  (step @p245 :rule aci_norm :args ((= (or @t253 @t155 @t179 @t260) @t259)))
% 34.34/35.00  (step @p246 :rule aci_norm :args ((= @t261 @t260)))
% 34.34/35.00  (step @p247 :rule refl :args (@t155))
% 34.34/35.00  (step @p248 :rule refl :args (@t253))
% 34.34/35.00  (step @p249 :rule nary_cong :premises (@p248 @p247 @p237 @p246) :args (@t262))
% 34.34/35.00  (step @p250 :rule trans :premises (@p249 @p245))
% 34.34/35.00  (step @p251 :rule cong :premises (@p250) :args ((forall @t16 @t262)))
% 34.34/35.00  (step @p252 :rule trans :premises (@p251 @p244))
% 34.34/35.00  (step @p253 :rule aci_norm :args ((= (or @t253 (or @t155 @t179 @t261)) @t262)))
% 34.34/35.00  (step @p254 :rule bool-or-taut2 :args (false @t140 false false))
% 34.34/35.00  (step @p255 :rule refl :args (@t260))
% 34.34/35.00  (step @p256 :rule nary_cong :premises (@p255 @p254) :args (@t263))
% 34.34/35.00  (step @p257 :rule refl :args (@t179))
% 34.34/35.00  (step @p258 :rule nary_cong :premises (@p225 @p257 @p256) :args (@t264))
% 34.34/35.00  (step @p259 :rule nary_cong :premises (@p226 @p258) :args ((or @t253 @t264)))
% 34.34/35.00  (step @p260 :rule trans :premises (@p259 @p253))
% 34.34/35.00  (step @p261 :rule bool-impl-elim :args (@t15 @t264))
% 34.34/35.00  (step @p262 :rule trans :premises (@p261 @p260))
% 34.34/35.00  (step @p263 :rule cong :premises (@p262) :args ((forall @t16 (=> @t15 @t264))))
% 34.34/35.00  (step @p264 :rule trans :premises (@p263 @p252))
% 34.34/35.00  (step @p265 :rule aci_norm :args ((= (or @t155 @t265) @t264)))
% 34.34/35.00  (step @p266 :rule aci_norm :args ((= (or @t179 false @t263) @t265)))
% 34.34/35.00  (step @p267 :rule refl :args (@t263))
% 34.34/35.00  (step @p268 :rule eq-refl :args (@t1))
% 34.34/35.00  (step @p269 :rule cong :premises (@p268) :args (@t266))
% 34.34/35.00  (step @p270 :rule trans :premises (@p269 @p216))
% 34.34/35.00  (step @p271 :rule nary_cong :premises (@p237 @p270 @p267) :args (@t267))
% 34.34/35.00  (step @p272 :rule trans :premises (@p271 @p266))
% 34.34/35.00  (step @p273 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t274 @t156 @t273)) @t267)))
% 34.34/35.00  (step @p274 :rule refl :args (@t273))
% 34.34/35.00  (step @p275 :rule refl :args (@t156))
% 34.34/35.00  (step @p276 :rule refl :args (@t274))
% 34.34/35.00  (step @p277 :rule eq-symm :args (@t1 @t10))
% 34.34/35.00  (step @p278 :rule cong :premises (@p277) :args (@t156))
% 34.34/35.00  (step @p279 :rule nary_cong :premises (@p278 @p276 @p275 @p274) :args (@t275))
% 34.34/35.00  (step @p280 :rule aci_norm :args ((= @t276 @t275)))
% 34.34/35.00  (step @p281 :rule trans :premises (@p280 @p279))
% 34.34/35.00  (step @p282 :rule cong :premises (@p281) :args (@t277))
% 34.34/35.00  (step @p283 :rule trans :premises (@p282 @p273))
% 34.34/35.00  (step @p284 :rule trans :premises (@p283 @p272))
% 34.34/35.00  (step @p285 :rule nary_cong :premises (@p247 @p284) :args (@t278))
% 34.34/35.00  (step @p286 :rule trans :premises (@p285 @p265))
% 34.34/35.00  (step @p287 :rule quant-miniscope-or :args ((= (forall @t14 @t279) @t278)))
% 34.34/35.00  (step @p288 :rule aci_norm :args ((= @t280 @t279)))
% 34.34/35.00  (step @p289 :rule cong :premises (@p288) :args ((forall @t14 @t280)))
% 34.34/35.00  (step @p290 :rule trans :premises (@p289 @p287))
% 34.34/35.00  (step @p291 :rule trans :premises (@p290 @p286))
% 34.34/35.00  (step @p292 :rule aci_norm :args ((= (or @t274 (or @t156 @t155 @t273)) @t280)))
% 34.34/35.00  (step @p293 :rule refl :args (@t142))
% 34.34/35.00  (step @p294 :rule refl :args (@t270))
% 34.34/35.00  (step @p295 :rule bool-double-not-elim :args (@t271))
% 34.34/35.00  (step @p296 :rule bool-double-not-elim :args (@t272))
% 34.34/35.00  (step @p297 :rule bool-double-not-elim :args (@t143))
% 34.34/35.00  (step @p298 :rule nary_cong :premises (@p297 @p296 @p295 @p294) :args (@t287))
% 34.34/35.00  (step @p299 :rule aci_norm :args ((= (and @t286 (and @t284 (and @t282 @t270))) @t287)))
% 34.34/35.00  (step @p300 :rule trans :premises (@p299 @p298))
% 34.34/35.00  (step @p301 :rule bool-or-de-morgan :args (@t281 @t269 false))
% 34.34/35.00  (step @p302 :rule refl :args (@t284))
% 34.34/35.00  (step @p303 :rule nary_cong :premises (@p302 @p301) :args ((and @t284 (not @t288))))
% 34.34/35.00  (step @p304 :rule bool-or-de-morgan :args (@t283 @t281 (or @t269)))
% 34.34/35.00  (step @p305 :rule trans :premises (@p304 @p303))
% 34.34/35.00  (step @p306 :rule refl :args (@t286))
% 34.34/35.00  (step @p307 :rule nary_cong :premises (@p306 @p305) :args ((and @t286 (not (or @t283 @t281 @t269)))))
% 34.34/35.00  (step @p308 :rule bool-or-de-morgan :args (@t285 @t283 (or @t281 @t269)))
% 34.34/35.00  (step @p309 :rule trans :premises (@p308 @p307))
% 34.34/35.00  (step @p310 :rule trans :premises (@p309 @p300))
% 34.34/35.00  (step @p311 :rule refl :args (@t141))
% 34.34/35.00  (step @p312 :rule nary_cong :premises (@p311 @p310 @p191) :args (@t290))
% 34.34/35.00  (step @p313 :rule nary_cong :premises (@p312 @p293) :args (@t291))
% 34.34/35.00  (step @p314 :rule nary_cong :premises (@p275 @p225 @p313) :args (@t292))
% 34.34/35.00  (step @p315 :rule nary_cong :premises (@p276 @p314) :args ((or @t274 @t292)))
% 34.34/35.00  (step @p316 :rule trans :premises (@p315 @p292))
% 34.34/35.00  (step @p317 :rule bool-impl-elim :args (@t13 @t292))
% 34.34/35.00  (step @p318 :rule trans :premises (@p317 @p316))
% 34.34/35.00  (step @p319 :rule cong :premises (@p318) :args ((forall @t14 (=> @t13 @t292))))
% 34.34/35.00  (step @p320 :rule trans :premises (@p319 @p291))
% 34.34/35.00  (step @p321 :rule refl :args (@t142))
% 34.34/35.00  (step @p322 :rule aci_norm :args ((= (or @t285 @t283 @t288) @t289)))
% 34.34/35.00  (step @p323 :rule aci_norm :args ((= (or @t281 @t269 false) @t288)))
% 34.34/35.00  (step @p324 :rule eq-refl :args (@t268))
% 34.34/35.00  (step @p325 :rule cong :premises (@p324) :args (@t293))
% 34.34/35.00  (step @p326 :rule trans :premises (@p325 @p216))
% 34.34/35.00  (step @p327 :rule refl :args (@t269))
% 34.34/35.00  (step @p328 :rule refl :args (@t281))
% 34.34/35.00  (step @p329 :rule nary_cong :premises (@p328 @p327 @p326) :args (@t294))
% 34.34/35.00  (step @p330 :rule trans :premises (@p329 @p323))
% 34.34/35.00  (step @p331 :rule quant-var-elim-eq :args ((= (forall @t39 @t297) @t294)))
% 34.34/35.00  (step @p332 :rule aci_norm :args ((= @t298 @t297)))
% 34.34/35.00  (step @p333 :rule cong :premises (@p332) :args (@t299))
% 34.34/35.00  (step @p334 :rule trans :premises (@p333 @p331))
% 34.34/35.00  (step @p335 :rule trans :premises (@p334 @p330))
% 34.34/35.00  (step @p336 :rule refl :args (@t283))
% 34.34/35.00  (step @p337 :rule refl :args (@t285))
% 34.34/35.00  (step @p338 :rule nary_cong :premises (@p337 @p336 @p335) :args (@t300))
% 34.34/35.00  (step @p339 :rule trans :premises (@p338 @p322))
% 34.34/35.00  (step @p340 :rule quant-miniscope-or :args ((= (forall @t39 @t301) @t300)))
% 34.34/35.00  (step @p341 :rule aci_norm :args ((= @t302 @t301)))
% 34.34/35.00  (step @p342 :rule cong :premises (@p341) :args ((forall @t39 @t302)))
% 34.34/35.00  (step @p343 :rule trans :premises (@p342 @p340))
% 34.34/35.00  (step @p344 :rule trans :premises (@p343 @p339))
% 34.34/35.00  (step @p345 :rule aci_norm :args ((= (or @t296 @t148 @t303) @t302)))
% 34.34/35.00  (step @p346 :rule bool-double-not-elim :args (@t303))
% 34.34/35.00  (step @p347 :rule bool-double-not-elim :args (@t148))
% 34.34/35.00  (step @p348 :rule refl :args (@t296))
% 34.34/35.00  (step @p349 :rule nary_cong :premises (@p348 @p347 @p346) :args (@t307))
% 34.34/35.00  (step @p350 :rule aci_norm :args ((= (or @t296 (or @t306 @t305)) @t307)))
% 34.34/35.00  (step @p351 :rule trans :premises (@p350 @p349))
% 34.34/35.00  (step @p352 :rule bool-and-de-morgan :args (@t149 @t304 true))
% 34.34/35.00  (step @p353 :rule nary_cong :premises (@p348 @p352) :args ((or @t296 (not (and @t149 @t304)))))
% 34.34/35.00  (step @p354 :rule bool-and-de-morgan :args (@t38 @t149 (and @t304)))
% 34.34/35.00  (step @p355 :rule trans :premises (@p354 @p353))
% 34.34/35.00  (step @p356 :rule trans :premises (@p355 @p351))
% 34.34/35.00  (step @p357 :rule trans :premises (@p356 @p345))
% 34.34/35.00  (step @p358 :rule cong :premises (@p357) :args (@t309))
% 34.34/35.00  (step @p359 :rule trans :premises (@p358 @p344))
% 34.34/35.00  (step @p360 :rule cong :premises (@p359) :args (@t310))
% 34.34/35.00  (step @p361 :rule exists-elim :args ((= (exists @t39 @t308) @t310)))
% 34.34/35.00  (step @p362 :rule trans :premises (@p361 @p360))
% 34.34/35.00  (step @p363 :rule aci_norm :args ((= (or @t285 @t311) @t303)))
% 34.34/35.00  (step @p364 :rule aci_norm :args ((= (or @t283 false @t295) @t311)))
% 34.34/35.00  (step @p365 :rule refl :args (@t295))
% 34.34/35.00  (step @p366 :rule eq-refl :args (@t145))
% 34.34/35.00  (step @p367 :rule cong :premises (@p366) :args (@t312))
% 34.34/35.00  (step @p368 :rule trans :premises (@p367 @p216))
% 34.34/35.00  (step @p369 :rule nary_cong :premises (@p336 @p368 @p365) :args (@t313))
% 34.34/35.00  (step @p370 :rule trans :premises (@p369 @p364))
% 34.34/35.00  (step @p371 :rule quant-var-elim-eq :args ((= (forall @t37 @t319) @t313)))
% 34.34/35.00  (step @p372 :rule aci_norm :args ((= @t320 @t319)))
% 34.34/35.00  (step @p373 :rule cong :premises (@p372) :args (@t321))
% 34.34/35.00  (step @p374 :rule trans :premises (@p373 @p371))
% 34.34/35.00  (step @p375 :rule trans :premises (@p374 @p370))
% 34.34/35.00  (step @p376 :rule nary_cong :premises (@p337 @p375) :args (@t322))
% 34.34/35.00  (step @p377 :rule trans :premises (@p376 @p363))
% 34.34/35.00  (step @p378 :rule quant-miniscope-or :args ((= (forall @t37 @t323) @t322)))
% 34.34/35.00  (step @p379 :rule aci_norm :args ((= @t324 @t323)))
% 34.34/35.00  (step @p380 :rule cong :premises (@p379) :args ((forall @t37 @t324)))
% 34.34/35.00  (step @p381 :rule trans :premises (@p380 @p378))
% 34.34/35.00  (step @p382 :rule trans :premises (@p381 @p377))
% 34.34/35.00  (step @p383 :rule aci_norm :args ((= (or @t318 (or @t317 (or @t315 @t285))) @t324)))
% 34.34/35.00  (step @p384 :rule bool-and-de-morgan :args (@t314 @t143 true))
% 34.34/35.00  (step @p385 :rule refl :args (@t317))
% 34.34/35.00  (step @p386 :rule nary_cong :premises (@p385 @p384) :args ((or @t317 (not (and @t314 @t143)))))
% 34.34/35.00  (step @p387 :rule bool-and-de-morgan :args (@t316 @t314 (and @t143)))
% 34.34/35.00  (step @p388 :rule trans :premises (@p387 @p386))
% 34.34/35.00  (step @p389 :rule refl :args (@t318))
% 34.34/35.00  (step @p390 :rule nary_cong :premises (@p389 @p388) :args ((or @t318 (not (and @t316 @t314 @t143)))))
% 34.34/35.00  (step @p391 :rule bool-and-de-morgan :args (@t36 @t316 (and @t314 @t143)))
% 34.34/35.00  (step @p392 :rule trans :premises (@p391 @p390))
% 34.34/35.00  (step @p393 :rule trans :premises (@p392 @p383))
% 34.34/35.00  (step @p394 :rule cong :premises (@p393) :args (@t326))
% 34.34/35.00  (step @p395 :rule trans :premises (@p394 @p382))
% 34.34/35.00  (step @p396 :rule cong :premises (@p395) :args (@t327))
% 34.34/35.00  (step @p397 :rule exists-elim :args ((= (exists @t37 @t325) @t327)))
% 34.34/35.00  (step @p398 :rule trans :premises (@p397 @p396))
% 34.34/35.00  (step @p399 :rule refl :args (@t143))
% 34.34/35.00  (step @p400 :rule eq-symm :args (@t144 @t34))
% 34.34/35.00  (step @p401 :rule eq-symm :args (@t145 @t33))
% 34.34/35.00  (step @p402 :rule refl :args (@t36))
% 34.34/35.00  (step @p403 :rule nary_cong :premises (@p402 @p401 @p400 @p399) :args (@t146))
% 34.34/35.00  (step @p404 :rule cong :premises (@p403) :args (@t147))
% 34.34/35.00  (step @p405 :rule trans :premises (@p404 @p398))
% 34.34/35.00  (step @p406 :rule refl :args (@t149))
% 34.34/35.00  (step @p407 :rule refl :args (@t38))
% 34.34/35.00  (step @p408 :rule nary_cong :premises (@p407 @p406 @p405) :args (@t150))
% 34.34/35.00  (step @p409 :rule cong :premises (@p408) :args (@t151))
% 34.34/35.00  (step @p410 :rule trans :premises (@p409 @p362))
% 34.34/35.00  (step @p411 :rule nary_cong :premises (@p236 @p410 @p235) :args (@t152))
% 34.34/35.00  (step @p412 :rule nary_cong :premises (@p411 @p321) :args (@t153))
% 34.34/35.00  (step @p413 :rule refl :args (@t156))
% 34.34/35.00  (step @p414 :rule nary_cong :premises (@p413 @p247 @p412) :args (@t157))
% 34.34/35.00  (step @p415 :rule refl :args (@t13))
% 34.34/35.00  (step @p416 :rule cong :premises (@p415 @p414) :args (@t158))
% 34.34/35.00  (step @p417 :rule cong :premises (@p416) :args (@t159))
% 34.34/35.00  (step @p418 :rule trans :premises (@p417 @p320))
% 34.34/35.00  (step @p419 :rule refl :args (@t15))
% 34.34/35.00  (step @p420 :rule cong :premises (@p419 @p418) :args (@t160))
% 34.34/35.00  (step @p421 :rule cong :premises (@p420) :args (@t161))
% 34.34/35.00  (step @p422 :rule trans :premises (@p421 @p264))
% 34.34/35.00  (step @p423 :rule refl :args (@t27))
% 34.34/35.00  (step @p424 :rule cong :premises (@p423 @p422) :args (@t162))
% 34.34/35.00  (step @p425 :rule cong :premises (@p424) :args (@t163))
% 34.34/35.00  (step @p426 :rule trans :premises (@p425 @p212))
% 34.34/35.00  (step @p427 :rule cong :premises (@p115 @p426) :args (@t164))
% 34.34/35.00  (step @p428 :rule cong :premises (@p427) :args (@t165))
% 34.34/35.00  (step @p429 :rule trans :premises (@p428 @p203))
% 34.34/35.00  (step @p430 :rule cong :premises (@p429) :args (@t166))
% 34.34/35.00  (step @p431 :rule eq_resolve :premises (@p96 @p430))
% 34.34/35.00  (step @p432 :rule skolemize :premises (@p431))
% 34.34/35.00  (step @p433 :rule bool-double-not-elim :args (@t200))
% 34.34/35.00  (step @p434 :rule refl :args (@t338))
% 34.34/35.00  (step @p435 :rule nary_cong :premises (@p434 @p433) :args ((or @t338 (not @t201))))
% 34.34/35.00  (step @p436 :rule cnf_or_neg :args (@t338 2))
% 34.34/35.00  (step @p437 :rule eq_resolve :premises (@p436 @p435))
% 34.34/35.00  (step @p438 :rule reordering :premises (@p437) :args ((or @t200 @t338)))
% 34.34/35.00  (step @p439 :rule chain_m_resolution :premises (@p438 @p432) :args (@t200 @t339 @t340))
% 34.34/35.00  (step @p440 :rule cnf_or_pos :args (@t230))
% 34.34/35.00  (step @p441 :rule reordering :premises (@p440) :args ((or @t225 @t201 @t229 (not @t230))))
% 34.34/35.00  (step @p442 :rule chain_m_resolution :premises (@p441 @p17 @p439 @p186) :args (@t229 @t341 (@list @t47 @t200 @t230)))
% 34.34/35.00  (step @p443 :rule bool-double-not-elim :args (@t223))
% 34.34/35.00  (step @p444 :rule nary_cong :premises (@p434 @p443) :args ((or @t338 (not @t334))))
% 34.34/35.00  (step @p445 :rule cnf_or_neg :args (@t338 3))
% 34.34/35.00  (step @p446 :rule eq_resolve :premises (@p445 @p444))
% 34.34/35.00  (step @p447 :rule reordering :premises (@p446) :args ((or @t223 @t338)))
% 34.34/35.00  (step @p448 :rule chain_m_resolution :premises (@p447 @p432) :args (@t223 @t339 @t340))
% 34.34/35.00  (step @p449 :rule cnf_equiv_pos1 :args (@t229))
% 34.34/35.00  (step @p450 :rule reordering :premises (@p449) :args ((or @t334 @t228 (not @t229))))
% 34.34/35.00  (step @p451 :rule chain_m_resolution :premises (@p450 @p448 @p442) :args (@t228 @t342 (@list @t223 @t229)))
% 34.34/35.00  (step @p452 :rule cnf_or_pos :args (@t207))
% 34.34/35.00  (step @p453 :rule reordering :premises (@p452) :args ((or @t201 @t199 @t206 (not @t207))))
% 34.34/35.00  (step @p454 :rule chain_m_resolution :premises (@p453 @p439 @p451 @p152) :args (@t199 @t343 (@list @t200 @t206 @t207)))
% 34.34/35.00  (step @p455 :rule bool-double-not-elim :args (@t336))
% 34.34/35.00  (step @p456 :rule nary_cong :premises (@p434 @p455) :args ((or @t338 (not @t337))))
% 34.34/35.00  (step @p457 :rule cnf_or_neg :args (@t338 0))
% 34.34/35.00  (step @p458 :rule eq_resolve :premises (@p457 @p456))
% 34.34/35.00  (step @p459 :rule reordering :premises (@p458) :args ((or @t336 @t338)))
% 34.34/35.00  (step @p460 :rule chain_m_resolution :premises (@p459 @p432) :args (@t336 @t339 @t340))
% 34.34/35.00  (step @p461 :rule cnf_or_pos :args (@t345))
% 34.34/35.00  (step @p462 :rule reordering :premises (@p461) :args ((or @t337 @t331 @t344 (not @t345))))
% 34.34/35.00  (step @p463 :rule chain_m_resolution :premises (@p462 @p460 @p454 @p120) :args (@t331 @t341 (@list @t336 @t199 @t345)))
% 34.34/35.00  (step @p464 :rule instantiate :premises (@p172) :args ((@list tptp.nil @t190)))
% 34.34/35.00  (step @p465 :rule cnf_or_pos :args (@t347))
% 34.34/35.00  (step @p466 :rule reordering :premises (@p465) :args ((or @t225 @t201 @t346 (not @t347))))
% 34.34/35.00  (step @p467 :rule chain_m_resolution :premises (@p466 @p17 @p439 @p464) :args (@t346 @t341 (@list @t47 @t200 @t347)))
% 34.34/35.00  (step @p468 :rule bool-double-not-elim :args (@t206))
% 34.34/35.00  (step @p469 :rule refl :args (@t332))
% 34.34/35.00  (step @p470 :rule refl :args (@t348))
% 34.34/35.00  (step @p471 :rule nary_cong :premises (@p470 @p469 @p468) :args ((or @t348 @t332 (not @t228))))
% 34.34/35.00  (step @p472 :rule cnf_equiv_pos2 :args (@t346))
% 34.34/35.00  (step @p473 :rule eq_resolve :premises (@p472 @p471))
% 34.34/35.00  (step @p474 :rule reordering :premises (@p473) :args ((or @t332 @t206 @t348)))
% 34.34/35.00  (step @p475 :rule chain_m_resolution :premises (@p474 @p451 @p467) :args (@t332 @t349 (@list @t206 @t346)))
% 34.34/35.00  (step @p476 :rule cnf_or_neg :args (@t338 4))
% 34.34/35.00  (step @p477 :rule chain_m_resolution :premises (@p476 @p432) :args ((not @t333) @t339 @t340))
% 34.34/35.00  (step @p478 :rule bool-double-not-elim :args (@t329))
% 34.34/35.00  (step @p479 :rule refl :args (@t350))
% 34.34/35.00  (step @p480 :rule refl :args (@t344))
% 34.34/35.00  (step @p481 :rule refl :args (@t351))
% 34.34/35.00  (step @p482 :rule refl :args (@t333))
% 34.34/35.00  (step @p483 :rule nary_cong :premises (@p482 @p481 @p480 @p479 @p478) :args ((or @t333 @t351 @t344 @t350 (not @t330))))
% 34.34/35.00  (step @p484 :rule cnf_and_neg :args (@t333))
% 34.34/35.00  (step @p485 :rule eq_resolve :premises (@p484 @p483))
% 34.34/35.00  (step @p486 :rule reordering :premises (@p485) :args ((or @t329 @t333 @t351 @t344 @t350)))
% 34.34/35.00  (step @p487 :rule chain_m_resolution :premises (@p486 @p477 @p475 @p454 @p463) :args (@t329 (@list true false false false) (@list @t333 @t332 @t199 @t331)))
% 34.34/35.00  (step @p488 :rule bool-impl-elim :args (@t17 @t352))
% 34.34/35.00  (step @p489 :rule cong :premises (@p488) :args ((forall @t9 (=> @t17 @t352))))
% 34.34/35.00  (step @p490 :rule eq-symm :args (@t90 @t2))
% 34.34/35.00  (step @p491 :rule cong :premises (@p115 @p490) :args (@t91))
% 34.34/35.00  (step @p492 :rule cong :premises (@p491) :args (@t92))
% 34.34/35.00  (step @p493 :rule trans :premises (@p492 @p489))
% 34.34/35.00  (step @p494 :rule eq_resolve :premises (@p28 @p493))
% 34.34/35.00  (step @p495 :rule instantiate :premises (@p494) :args (@t353))
% 34.34/35.00  (step @p496 :rule cnf_or_pos :args (@t356))
% 34.34/35.00  (step @p497 :rule reordering :premises (@p496) :args ((or @t344 @t355 (not @t356))))
% 34.34/35.00  (step @p498 :rule chain_m_resolution :premises (@p497 @p454 @p495) :args (@t355 @t342 (@list @t199 @t356)))
% 34.34/35.00  (step @p499 :rule aci_norm :args ((= (or @t170 @t365) @t364)))
% 34.34/35.00  (step @p500 :rule bool-impl-elim :args (@t17 @t365))
% 34.34/35.00  (step @p501 :rule trans :premises (@p500 @p499))
% 34.34/35.00  (step @p502 :rule cong :premises (@p501) :args ((forall @t9 (=> @t17 @t365))))
% 34.34/35.00  (step @p503 :rule aci_norm :args ((= @t367 @t361)))
% 34.34/35.00  (step @p504 :rule cong :premises (@p503) :args (@t368))
% 34.34/35.00  (step @p505 :rule quant-merge-prenex :args ((= (forall @t7 @t370) @t368)))
% 34.34/35.00  (step @p506 :rule alpha_equiv :args (@t371 (@list @t357) @t372))
% 34.34/35.00  (step @p507 :rule nary_cong :premises (@p257 @p506) :args (@t373))
% 34.34/35.00  (step @p508 :rule quant-miniscope-or :args ((= @t370 @t373)))
% 34.34/35.00  (step @p509 :rule trans :premises (@p508 @p507))
% 34.34/35.00  (step @p510 :rule symm :premises (@p509))
% 34.34/35.00  (step @p511 :rule cong :premises (@p510) :args ((forall @t7 (or @t179 @t375))))
% 34.34/35.00  (step @p512 :rule trans :premises (@p511 @p505))
% 34.34/35.00  (step @p513 :rule trans :premises (@p512 @p504))
% 34.34/35.00  (step @p514 :rule bool-double-not-elim :args (@t375))
% 34.34/35.00  (step @p515 :rule nary_cong :premises (@p257 @p514) :args ((or @t179 (not @t376))))
% 34.34/35.00  (step @p516 :rule bool-and-de-morgan :args (@t27 @t376 true))
% 34.34/35.00  (step @p517 :rule trans :premises (@p516 @p515))
% 34.34/35.00  (step @p518 :rule cong :premises (@p517) :args (@t378))
% 34.34/35.00  (step @p519 :rule trans :premises (@p518 @p513))
% 34.34/35.00  (step @p520 :rule cong :premises (@p519) :args (@t379))
% 34.34/35.00  (step @p521 :rule exists-elim :args ((= (exists @t7 @t377) @t379)))
% 34.34/35.00  (step @p522 :rule trans :premises (@p521 @p520))
% 34.34/35.00  (step @p523 :rule bool-and-de-morgan :args (@t40 @t374 true))
% 34.34/35.00  (step @p524 :rule cong :premises (@p523) :args (@t381))
% 34.34/35.00  (step @p525 :rule cong :premises (@p524) :args (@t382))
% 34.34/35.00  (step @p526 :rule exists-elim :args ((= (exists @t16 @t380) @t382)))
% 34.34/35.00  (step @p527 :rule trans :premises (@p526 @p525))
% 34.34/35.00  (step @p528 :rule eq-symm :args (@t54 @t2))
% 34.34/35.00  (step @p529 :rule refl :args (@t40))
% 34.34/35.00  (step @p530 :rule nary_cong :premises (@p529 @p528) :args (@t55))
% 34.34/35.00  (step @p531 :rule cong :premises (@p530) :args (@t56))
% 34.34/35.00  (step @p532 :rule trans :premises (@p531 @p527))
% 34.34/35.00  (step @p533 :rule nary_cong :premises (@p423 @p532) :args (@t57))
% 34.34/35.00  (step @p534 :rule cong :premises (@p533) :args (@t58))
% 34.34/35.00  (step @p535 :rule trans :premises (@p534 @p522))
% 34.34/35.00  (step @p536 :rule nary_cong :premises (@p133 @p535) :args (@t60))
% 34.34/35.00  (step @p537 :rule cong :premises (@p115 @p536) :args (@t61))
% 34.34/35.00  (step @p538 :rule cong :premises (@p537) :args (@t62))
% 34.34/35.00  (step @p539 :rule trans :premises (@p538 @p502))
% 34.34/35.00  (step @p540 :rule eq_resolve :premises (@p20 @p539))
% 34.34/35.00  (step @p541 :rule eq-symm :args (@t192 @t358))
% 34.34/35.00  (step @p542 :rule cong :premises (@p541) :args (@t383))
% 34.34/35.00  (step @p543 :rule refl :args (@t360))
% 34.34/35.00  (step @p544 :rule nary_cong :premises (@p237 @p543 @p542) :args (@t384))
% 34.34/35.00  (step @p545 :rule cong :premises (@p544) :args (@t385))
% 34.34/35.00  (step @p546 :rule cong :premises (@p545) :args (@t386))
% 34.34/35.00  (step @p547 :rule eq-symm :args (@t192 tptp.nil))
% 34.34/35.00  (step @p548 :rule refl :args (@t337))
% 34.34/35.00  (step @p549 :rule nary_cong :premises (@p548 @p547 @p546) :args (@t388))
% 34.34/35.00  (step @p550 :rule refl :args (@t389))
% 34.34/35.00  (step @p551 :rule cong :premises (@p550 @p549) :args ((=> @t389 @t388)))
% 34.34/35.00  (assume-push @p1148 @t389)
% 34.34/35.00  (step @p553 :rule instantiate :premises (@p540) :args (@t390))
% 34.34/35.00  (step-pop @p1149 :rule scope :premises (@p553))
% 34.34/35.00  (step @p554 :rule process_scope :premises (@p1149) :args (@t388))
% 34.34/35.00  (step @p556 :rule eq_resolve :premises (@p554 @p551))
% 34.34/35.00  (step @p557 :rule implies_elim :premises (@p556))
% 34.34/35.00  (step @p558 :rule chain_m_resolution :premises (@p557 @p540) :args (@t394 @t208 (@list @t389)))
% 34.34/35.00  (step @p559 :rule cnf_or_pos :args (@t394))
% 34.34/35.00  (step @p560 :rule reordering :premises (@p559) :args ((or @t337 @t393 @t392 (not @t394))))
% 34.34/35.00  (step @p561 :rule aci_norm :args ((= @t400 @t398)))
% 34.34/35.00  (step @p562 :rule cong :premises (@p561) :args (@t402))
% 34.34/35.00  (step @p563 :rule quant-merge-prenex :args ((= (forall @t9 @t404) @t402)))
% 34.34/35.00  (step @p564 :rule alpha_equiv :args (@t405 (@list @t395) @t177))
% 34.34/35.00  (step @p565 :rule refl :args (@t194))
% 34.34/35.00  (step @p566 :rule nary_cong :premises (@p102 @p565 @p564) :args (@t406))
% 34.34/35.00  (step @p567 :rule quant-miniscope-or :args ((= @t404 @t406)))
% 34.34/35.00  (step @p568 :rule trans :premises (@p567 @p566))
% 34.34/35.00  (step @p569 :rule symm :premises (@p568))
% 34.34/35.00  (step @p570 :rule cong :premises (@p569) :args ((forall @t9 @t410)))
% 34.34/35.00  (step @p571 :rule trans :premises (@p570 @p563))
% 34.34/35.00  (step @p572 :rule trans :premises (@p571 @p562))
% 34.34/35.00  (step @p573 :rule aci_norm :args ((= (or @t170 @t411) @t410)))
% 34.34/35.00  (step @p574 :rule bool-impl-elim :args (@t17 @t411))
% 34.34/35.00  (step @p575 :rule trans :premises (@p574 @p573))
% 34.34/35.00  (step @p576 :rule cong :premises (@p575) :args ((forall @t9 (=> @t17 @t411))))
% 34.34/35.00  (step @p577 :rule trans :premises (@p576 @p572))
% 34.34/35.00  (step @p578 :rule quant-miniscope-or :args ((= (forall @t7 @t412) @t411)))
% 34.34/35.00  (step @p579 :rule aci_norm :args ((= @t413 @t412)))
% 34.34/35.00  (step @p580 :rule cong :premises (@p579) :args ((forall @t7 @t413)))
% 34.34/35.00  (step @p581 :rule trans :premises (@p580 @p578))
% 34.34/35.00  (step @p582 :rule aci_norm :args ((= (or @t179 (or @t194 @t407)) @t413)))
% 34.34/35.00  (step @p583 :rule refl :args (@t407))
% 34.34/35.00  (step @p584 :rule nary_cong :premises (@p123 @p583) :args ((or @t197 @t407)))
% 34.34/35.00  (step @p585 :rule bool-impl-elim :args (@t196 @t407))
% 34.34/35.00  (step @p586 :rule trans :premises (@p585 @p584))
% 34.34/35.00  (step @p587 :rule nary_cong :premises (@p257 @p586) :args ((or @t179 @t414)))
% 34.34/35.00  (step @p588 :rule trans :premises (@p587 @p582))
% 34.34/35.00  (step @p589 :rule bool-impl-elim :args (@t27 @t414))
% 34.34/35.00  (step @p590 :rule trans :premises (@p589 @p588))
% 34.34/35.00  (step @p591 :rule cong :premises (@p590) :args ((forall @t7 (=> @t27 @t414))))
% 34.34/35.00  (step @p592 :rule trans :premises (@p591 @p581))
% 34.34/35.00  (step @p593 :rule eq-symm :args (@t128 @t63))
% 34.34/35.00  (step @p594 :rule cong :premises (@p134 @p593) :args (@t129))
% 34.34/35.00  (step @p595 :rule cong :premises (@p423 @p594) :args (@t130))
% 34.34/35.00  (step @p596 :rule cong :premises (@p595) :args (@t131))
% 34.34/35.00  (step @p597 :rule trans :premises (@p596 @p592))
% 34.34/35.00  (step @p598 :rule cong :premises (@p115 @p597) :args (@t132))
% 34.34/35.00  (step @p599 :rule cong :premises (@p598) :args (@t133))
% 34.34/35.00  (step @p600 :rule trans :premises (@p599 @p577))
% 34.34/35.00  (step @p601 :rule eq_resolve :premises (@p85 @p600))
% 34.34/35.00  (step @p602 :rule refl :args (@t416))
% 34.34/35.00  (step @p603 :rule nary_cong :premises (@p548 @p547 @p480 @p602) :args (@t417))
% 34.34/35.00  (step @p604 :rule refl :args (@t418))
% 34.34/35.00  (step @p605 :rule cong :premises (@p604 @p603) :args ((=> @t418 @t417)))
% 34.34/35.00  (assume-push @p1150 @t418)
% 34.34/35.00  (step @p607 :rule instantiate :premises (@p601) :args (@t193))
% 34.34/35.00  (step-pop @p1151 :rule scope :premises (@p607))
% 34.34/35.00  (step @p608 :rule process_scope :premises (@p1151) :args (@t417))
% 34.34/35.00  (step @p610 :rule eq_resolve :premises (@p608 @p605))
% 34.34/35.00  (step @p611 :rule implies_elim :premises (@p610))
% 34.34/35.00  (step @p612 :rule chain_m_resolution :premises (@p611 @p601) :args (@t419 @t208 (@list @t418)))
% 34.34/35.00  (step @p613 :rule cnf_or_pos :args (@t419))
% 34.34/35.00  (step @p614 :rule reordering :premises (@p613) :args ((or @t337 @t344 @t393 @t416 (not @t419))))
% 34.34/35.00  (step @p615 :rule aci_norm :args ((= @t425 @t423)))
% 34.34/35.00  (step @p616 :rule cong :premises (@p615) :args (@t427))
% 34.34/35.00  (step @p617 :rule quant-merge-prenex :args ((= (forall @t9 @t429) @t427)))
% 34.34/35.00  (step @p618 :rule alpha_equiv :args (@t430 (@list @t420) @t177))
% 34.34/35.00  (step @p619 :rule nary_cong :premises (@p102 @p565 @p618) :args (@t431))
% 34.34/35.00  (step @p620 :rule quant-miniscope-or :args ((= @t429 @t431)))
% 34.34/35.00  (step @p621 :rule trans :premises (@p620 @p619))
% 34.34/35.00  (step @p622 :rule symm :premises (@p621))
% 34.34/35.00  (step @p623 :rule cong :premises (@p622) :args ((forall @t9 @t434)))
% 34.34/35.00  (step @p624 :rule trans :premises (@p623 @p617))
% 34.34/35.00  (step @p625 :rule trans :premises (@p624 @p616))
% 34.34/35.00  (step @p626 :rule aci_norm :args ((= (or @t170 @t435) @t434)))
% 34.34/35.00  (step @p627 :rule bool-impl-elim :args (@t17 @t435))
% 34.34/35.00  (step @p628 :rule trans :premises (@p627 @p626))
% 34.34/35.00  (step @p629 :rule cong :premises (@p628) :args ((forall @t9 (=> @t17 @t435))))
% 34.34/35.00  (step @p630 :rule trans :premises (@p629 @p625))
% 34.34/35.00  (step @p631 :rule quant-miniscope-or :args ((= (forall @t7 @t436) @t435)))
% 34.34/35.00  (step @p632 :rule aci_norm :args ((= @t437 @t436)))
% 34.34/35.00  (step @p633 :rule cong :premises (@p632) :args ((forall @t7 @t437)))
% 34.34/35.00  (step @p634 :rule trans :premises (@p633 @p631))
% 34.34/35.00  (step @p635 :rule aci_norm :args ((= (or @t179 (or @t194 @t134)) @t437)))
% 34.34/35.00  (step @p636 :rule refl :args (@t134))
% 34.34/35.00  (step @p637 :rule nary_cong :premises (@p123 @p636) :args ((or @t197 @t134)))
% 34.34/35.00  (step @p638 :rule bool-impl-elim :args (@t196 @t134))
% 34.34/35.00  (step @p639 :rule trans :premises (@p638 @p637))
% 34.34/35.00  (step @p640 :rule nary_cong :premises (@p257 @p639) :args ((or @t179 @t438)))
% 34.34/35.00  (step @p641 :rule trans :premises (@p640 @p635))
% 34.34/35.00  (step @p642 :rule bool-impl-elim :args (@t27 @t438))
% 34.34/35.00  (step @p643 :rule trans :premises (@p642 @p641))
% 34.34/35.00  (step @p644 :rule cong :premises (@p643) :args ((forall @t7 (=> @t27 @t438))))
% 34.34/35.00  (step @p645 :rule trans :premises (@p644 @p634))
% 34.34/35.00  (step @p646 :rule refl :args (@t134))
% 34.34/35.00  (step @p647 :rule cong :premises (@p134 @p646) :args (@t135))
% 34.34/35.00  (step @p648 :rule cong :premises (@p423 @p647) :args (@t136))
% 34.34/35.00  (step @p649 :rule cong :premises (@p648) :args (@t137))
% 34.34/35.00  (step @p650 :rule trans :premises (@p649 @p645))
% 34.34/35.00  (step @p651 :rule cong :premises (@p115 @p650) :args (@t138))
% 34.34/35.00  (step @p652 :rule cong :premises (@p651) :args (@t139))
% 34.34/35.00  (step @p653 :rule trans :premises (@p652 @p630))
% 34.34/35.00  (step @p654 :rule eq_resolve :premises (@p86 @p653))
% 34.34/35.00  (step @p655 :rule refl :args (@t441))
% 34.34/35.00  (step @p656 :rule nary_cong :premises (@p548 @p547 @p480 @p655) :args (@t442))
% 34.34/35.00  (step @p657 :rule refl :args (@t443))
% 34.34/35.00  (step @p658 :rule cong :premises (@p657 @p656) :args ((=> @t443 @t442)))
% 34.34/35.00  (assume-push @p1152 @t443)
% 34.34/35.00  (step @p660 :rule instantiate :premises (@p654) :args (@t193))
% 34.34/35.00  (step-pop @p1153 :rule scope :premises (@p660))
% 34.34/35.00  (step @p661 :rule process_scope :premises (@p1153) :args (@t442))
% 34.34/35.00  (step @p663 :rule eq_resolve :premises (@p661 @p658))
% 34.34/35.00  (step @p664 :rule implies_elim :premises (@p663))
% 34.34/35.00  (step @p665 :rule chain_m_resolution :premises (@p664 @p654) :args (@t444 @t208 (@list @t443)))
% 34.34/35.00  (step @p666 :rule cnf_or_pos :args (@t444))
% 34.34/35.00  (step @p667 :rule reordering :premises (@p666) :args ((or @t337 @t344 @t393 @t441 (not @t444))))
% 34.34/35.00  (step @p668 :rule refl :args (@t455))
% 34.34/35.00  (step @p669 :rule bool-double-not-elim :args (@t391))
% 34.34/35.00  (step @p670 :rule nary_cong :premises (@p669 @p668) :args ((or (not @t392) @t455)))
% 34.34/35.00  (step @p671 :rule eq-symm :args (@t447 @t192))
% 34.34/35.00  (step @p672 :rule cong :premises (@p671) :args (@t456))
% 34.34/35.00  (step @p673 :rule refl :args (@t451))
% 34.34/35.00  (step @p674 :rule refl :args (@t453))
% 34.34/35.00  (step @p675 :rule nary_cong :premises (@p674 @p673 @p672) :args (@t457))
% 34.34/35.00  (step @p676 :rule cong :premises (@p675) :args (@t458))
% 34.34/35.00  (step @p677 :rule refl :args (@t392))
% 34.34/35.00  (step @p678 :rule cong :premises (@p677 @p676) :args ((=> @t392 @t458)))
% 34.34/35.00  (assume-push @p1154 @t392)
% 34.34/35.00  (step @p680 :rule skolemize :premises (@p1154))
% 34.34/35.00  (step-pop @p1155 :rule scope :premises (@p680))
% 34.34/35.00  (step @p681 :rule process_scope :premises (@p1155) :args (@t458))
% 34.34/35.00  (step @p683 :rule eq_resolve :premises (@p681 @p678))
% 34.34/35.00  (step @p684 :rule implies_elim :premises (@p683))
% 34.34/35.00  (step @p685 :rule eq_resolve :premises (@p684 @p670))
% 34.34/35.00  (step @p686 :rule bool-double-not-elim :args (@t452))
% 34.34/35.00  (step @p687 :rule refl :args (@t454))
% 34.34/35.00  (step @p688 :rule nary_cong :premises (@p687 @p686) :args ((or @t454 (not @t453))))
% 34.34/35.00  (step @p689 :rule cnf_or_neg :args (@t454 0))
% 34.34/35.00  (step @p690 :rule eq_resolve :premises (@p689 @p688))
% 34.34/35.00  (step @p691 :rule reordering :premises (@p690) :args ((or @t452 @t454)))
% 34.34/35.00  (step @p692 :rule bool-double-not-elim :args (@t450))
% 34.34/35.00  (step @p693 :rule nary_cong :premises (@p687 @p692) :args ((or @t454 (not @t451))))
% 34.34/35.00  (step @p694 :rule cnf_or_neg :args (@t454 1))
% 34.34/35.00  (step @p695 :rule eq_resolve :premises (@p694 @p693))
% 34.34/35.00  (step @p696 :rule reordering :premises (@p695) :args ((or @t450 @t454)))
% 34.34/35.00  (step @p697 :rule bool-double-not-elim :args (@t448))
% 34.34/35.00  (step @p698 :rule nary_cong :premises (@p687 @p697) :args ((or @t454 (not @t449))))
% 34.34/35.00  (step @p699 :rule cnf_or_neg :args (@t454 2))
% 34.34/35.00  (step @p700 :rule eq_resolve :premises (@p699 @p698))
% 34.34/35.00  (step @p701 :rule reordering :premises (@p700) :args ((or @t448 @t454)))
% 34.34/35.00  (step @p702 :rule aci_norm :args ((= @t463 (or @t170 @t461 @t460))))
% 34.34/35.00  (step @p703 :rule cong :premises (@p702) :args (@t464))
% 34.34/35.00  (step @p704 :rule quant-merge-prenex :args ((= (forall @t9 @t466) @t464)))
% 34.34/35.00  (step @p705 :rule alpha_equiv :args (@t467 (@list @t459) @t177))
% 34.34/35.00  (step @p706 :rule nary_cong :premises (@p102 @p705) :args (@t468))
% 34.34/35.00  (step @p707 :rule quant-miniscope-or :args ((= @t466 @t468)))
% 34.34/35.00  (step @p708 :rule trans :premises (@p707 @p706))
% 34.34/35.00  (step @p709 :rule symm :premises (@p708))
% 34.34/35.00  (step @p710 :rule cong :premises (@p709) :args ((forall @t9 (or @t170 @t471))))
% 34.34/35.00  (step @p711 :rule trans :premises (@p710 @p704))
% 34.34/35.00  (step @p712 :rule trans :premises (@p711 @p703))
% 34.34/35.00  (step @p713 :rule bool-impl-elim :args (@t17 @t471))
% 34.34/35.00  (step @p714 :rule cong :premises (@p713) :args ((forall @t9 (=> @t17 @t471))))
% 34.34/35.00  (step @p715 :rule trans :premises (@p714 @p712))
% 34.34/35.00  (step @p716 :rule bool-impl-elim :args (@t6 @t469))
% 34.34/35.00  (step @p717 :rule cong :premises (@p716) :args ((forall @t7 (=> @t6 @t469))))
% 34.34/35.00  (step @p718 :rule eq-symm :args (@t69 @t1))
% 34.34/35.00  (step @p719 :rule refl :args (@t6))
% 34.34/35.00  (step @p720 :rule cong :premises (@p719 @p718) :args (@t70))
% 34.34/35.00  (step @p721 :rule cong :premises (@p720) :args (@t71))
% 34.34/35.00  (step @p722 :rule trans :premises (@p721 @p717))
% 34.34/35.00  (step @p723 :rule cong :premises (@p115 @p722) :args (@t72))
% 34.34/35.00  (step @p724 :rule cong :premises (@p723) :args (@t73))
% 34.34/35.00  (step @p725 :rule trans :premises (@p724 @p715))
% 34.34/35.00  (step @p726 :rule eq_resolve :premises (@p23 @p725))
% 34.34/35.00  (step @p727 :rule instantiate :premises (@p726) :args (@t472))
% 34.34/35.00  (step @p728 :rule cnf_or_pos :args (@t475))
% 34.34/35.00  (step @p729 :rule reordering :premises (@p728) :args ((or @t453 @t451 @t474 (not @t475))))
% 34.34/35.00  (step @p730 :rule aci_norm :args ((= @t480 (or @t170 @t478 @t477))))
% 34.34/35.00  (step @p731 :rule cong :premises (@p730) :args (@t481))
% 34.34/35.00  (step @p732 :rule quant-merge-prenex :args ((= (forall @t9 @t483) @t481)))
% 34.34/35.00  (step @p733 :rule alpha_equiv :args (@t484 (@list @t476) @t177))
% 34.34/35.00  (step @p734 :rule nary_cong :premises (@p102 @p733) :args (@t485))
% 34.34/35.00  (step @p735 :rule quant-miniscope-or :args ((= @t483 @t485)))
% 34.34/35.00  (step @p736 :rule trans :premises (@p735 @p734))
% 34.34/35.00  (step @p737 :rule symm :premises (@p736))
% 34.34/35.00  (step @p738 :rule cong :premises (@p737) :args ((forall @t9 (or @t170 @t487))))
% 34.34/35.00  (step @p739 :rule trans :premises (@p738 @p732))
% 34.34/35.00  (step @p740 :rule trans :premises (@p739 @p731))
% 34.34/35.00  (step @p741 :rule bool-impl-elim :args (@t17 @t487))
% 34.34/35.00  (step @p742 :rule cong :premises (@p741) :args ((forall @t9 (=> @t17 @t487))))
% 34.34/35.00  (step @p743 :rule trans :premises (@p742 @p740))
% 34.34/35.00  (step @p744 :rule bool-impl-elim :args (@t6 @t486))
% 34.34/35.00  (step @p745 :rule cong :premises (@p744) :args ((forall @t7 (=> @t6 @t486))))
% 34.34/35.00  (step @p746 :rule eq-symm :args (@t79 @t2))
% 34.34/35.00  (step @p747 :rule cong :premises (@p719 @p746) :args (@t80))
% 34.34/35.00  (step @p748 :rule cong :premises (@p747) :args (@t81))
% 34.34/35.00  (step @p749 :rule trans :premises (@p748 @p745))
% 34.34/35.00  (step @p750 :rule cong :premises (@p115 @p749) :args (@t82))
% 34.34/35.00  (step @p751 :rule cong :premises (@p750) :args (@t83))
% 34.34/35.00  (step @p752 :rule trans :premises (@p751 @p743))
% 34.34/35.00  (step @p753 :rule eq_resolve :premises (@p25 @p752))
% 34.34/35.00  (step @p754 :rule instantiate :premises (@p753) :args (@t472))
% 34.34/35.00  (step @p755 :rule cnf_or_pos :args (@t489))
% 34.34/35.00  (step @p756 :rule reordering :premises (@p755) :args ((or @t453 @t451 @t488 (not @t489))))
% 34.34/35.00  (assume-push @p1156 @t329)
% 34.34/35.00  (assume-push @p1157 @t355)
% 34.34/35.00  (assume-push @p1158 @t441)
% 34.34/35.00  (assume-push @p1159 @t448)
% 34.34/35.00  (assume-push @p1160 @t488)
% 34.34/35.00  (assume-push @p1161 @t488)
% 34.34/35.00  (assume-push @p1162 @t448)
% 34.34/35.00  (assume-push @p1163 @t441)
% 34.34/35.00  (assume-push @p1164 @t329)
% 34.34/35.00  (assume-push @p1165 @t355)
% 34.34/35.00  (step @p767 :rule refl :args (@t191))
% 34.34/35.00  (step @p768 :rule symm :premises (@p1160))
% 34.34/35.00  (step @p769 :rule cong :premises (@p1159) :args (@t439))
% 34.34/35.00  (step @p770 :rule trans :premises (@p769 @p768))
% 34.34/35.00  (step @p771 :rule cong :premises (@p770 @p767) :args (@t440))
% 34.34/35.00  (step @p772 :rule cong :premises (@p487) :args (@t191))
% 34.34/35.00  (step @p773 :rule symm :premises (@p498))
% 34.34/35.00  (step @p774 :rule trans :premises (@p773 @p772 @p1158 @p771))
% 34.34/35.00  (step-pop @p1166 :rule scope :premises (@p774))
% 34.34/35.00  (step-pop @p1167 :rule scope :premises (@p1166))
% 34.34/35.00  (step-pop @p1168 :rule scope :premises (@p1167))
% 34.34/35.00  (step-pop @p1169 :rule scope :premises (@p1168))
% 34.34/35.00  (step-pop @p1170 :rule scope :premises (@p1169))
% 34.34/35.00  (step @p775 :rule process_scope :premises (@p1170) :args (@t490))
% 34.34/35.00  (step @p781 :rule and_intro :premises (@p1160 @p1159 @p1158 @p487 @p498))
% 34.34/35.00  (step @p782 :rule modus_ponens :premises (@p781 @p775))
% 34.34/35.00  (step-pop @p1171 :rule scope :premises (@p782))
% 34.34/35.00  (step-pop @p1172 :rule scope :premises (@p1171))
% 34.34/35.00  (step-pop @p1173 :rule scope :premises (@p1172))
% 34.34/35.00  (step-pop @p1174 :rule scope :premises (@p1173))
% 34.34/35.00  (step-pop @p1175 :rule scope :premises (@p1174))
% 34.34/35.00  (step @p783 :rule process_scope :premises (@p1175) :args (@t490))
% 34.34/35.00  (step @p789 :rule implies_elim :premises (@p783))
% 34.34/35.00  (step @p790 :rule cnf_and_neg :args (@t491))
% 34.34/35.00  (step @p791 :rule resolution :premises (@p790 @p789) :args (true @t491))
% 34.34/35.00  (step @p792 :rule aci_norm :args ((= @t499 (or @t170 @t497 @t496 @t495 @t493))))
% 34.34/35.00  (step @p793 :rule cong :premises (@p792) :args (@t500))
% 34.34/35.00  (step @p794 :rule quant-merge-prenex :args ((= (forall @t9 @t502) @t500)))
% 34.34/35.00  (step @p795 :rule alpha_equiv :args (@t503 (@list @t494 @t492) (@list @t1 @t504)))
% 34.34/35.00  (step @p796 :rule nary_cong :premises (@p102 @p795) :args (@t505))
% 34.34/35.00  (step @p797 :rule quant-miniscope-or :args ((= @t502 @t505)))
% 34.34/35.00  (step @p798 :rule trans :premises (@p797 @p796))
% 34.34/35.00  (step @p799 :rule symm :premises (@p798))
% 34.34/35.00  (step @p800 :rule cong :premises (@p799) :args ((forall @t9 (or @t170 @t510))))
% 34.34/35.00  (step @p801 :rule trans :premises (@p800 @p794))
% 34.34/35.00  (step @p802 :rule trans :premises (@p801 @p793))
% 34.34/35.00  (step @p803 :rule bool-impl-elim :args (@t17 @t510))
% 34.34/35.00  (step @p804 :rule cong :premises (@p803) :args ((forall @t9 (=> @t17 @t510))))
% 34.34/35.00  (step @p805 :rule trans :premises (@p804 @p802))
% 34.34/35.00  (step @p806 :rule refl :args (@t506))
% 34.34/35.00  (step @p807 :rule eq-symm :args (@t507 @t84))
% 34.34/35.00  (step @p808 :rule cong :premises (@p807) :args (@t511))
% 34.34/35.00  (step @p809 :rule refl :args (@t508))
% 34.34/35.00  (step @p810 :rule nary_cong :premises (@p237 @p809 @p808 @p806) :args (@t512))
% 34.34/35.00  (step @p811 :rule aci_norm :args ((= @t514 @t512)))
% 34.34/35.00  (step @p812 :rule trans :premises (@p811 @p810))
% 34.34/35.00  (step @p813 :rule cong :premises (@p812) :args (@t515))
% 34.34/35.00  (step @p814 :rule quant-merge-prenex :args ((= (forall @t7 @t517) @t515)))
% 34.34/35.00  (step @p815 :rule alpha_equiv :args (@t518 (@list @t504) @t372))
% 34.34/35.00  (step @p816 :rule nary_cong :premises (@p257 @p815) :args (@t519))
% 34.34/35.00  (step @p817 :rule quant-miniscope-or :args ((= @t517 @t519)))
% 34.34/35.00  (step @p818 :rule trans :premises (@p817 @p816))
% 34.34/35.00  (step @p819 :rule symm :premises (@p818))
% 34.34/35.00  (step @p820 :rule cong :premises (@p819) :args ((forall @t7 (or @t179 @t522))))
% 34.34/35.00  (step @p821 :rule trans :premises (@p820 @p814))
% 34.34/35.00  (step @p822 :rule trans :premises (@p821 @p813))
% 34.34/35.00  (step @p823 :rule bool-impl-elim :args (@t27 @t522))
% 34.34/35.00  (step @p824 :rule cong :premises (@p823) :args ((forall @t7 (=> @t27 @t522))))
% 34.34/35.00  (step @p825 :rule trans :premises (@p824 @p822))
% 34.34/35.00  (step @p826 :rule aci_norm :args ((= (or @t253 (or @t520 @t154)) @t521)))
% 34.34/35.00  (step @p827 :rule bool-impl-elim :args (@t113 @t154))
% 34.34/35.00  (step @p828 :rule nary_cong :premises (@p226 @p827) :args ((or @t253 @t523)))
% 34.34/35.00  (step @p829 :rule trans :premises (@p828 @p826))
% 34.34/35.00  (step @p830 :rule bool-impl-elim :args (@t15 @t523))
% 34.34/35.00  (step @p831 :rule trans :premises (@p830 @p829))
% 34.34/35.00  (step @p832 :rule cong :premises (@p831) :args ((forall @t16 (=> @t15 @t523))))
% 34.34/35.00  (step @p833 :rule eq-symm :args (@t12 @t2))
% 34.34/35.00  (step @p834 :rule refl :args (@t113))
% 34.34/35.00  (step @p835 :rule cong :premises (@p834 @p833) :args (@t114))
% 34.34/35.00  (step @p836 :rule cong :premises (@p419 @p835) :args (@t115))
% 34.34/35.00  (step @p837 :rule cong :premises (@p836) :args (@t116))
% 34.34/35.00  (step @p838 :rule trans :premises (@p837 @p832))
% 34.34/35.00  (step @p839 :rule cong :premises (@p423 @p838) :args (@t117))
% 34.34/35.00  (step @p840 :rule cong :premises (@p839) :args (@t118))
% 34.34/35.00  (step @p841 :rule trans :premises (@p840 @p825))
% 34.34/35.00  (step @p842 :rule cong :premises (@p115 @p841) :args (@t119))
% 34.34/35.00  (step @p843 :rule cong :premises (@p842) :args (@t120))
% 34.34/35.00  (step @p844 :rule trans :premises (@p843 @p805))
% 34.34/35.00  (step @p845 :rule eq_resolve :premises (@p79 @p844))
% 34.34/35.00  (step @p846 :rule instantiate :premises (@p845) :args ((@list tptp.nil @t191 @t445)))
% 34.34/35.00  (step @p847 :rule cnf_or_pos :args (@t526))
% 34.34/35.00  (step @p848 :rule reordering :premises (@p847) :args ((or @t225 @t344 @t453 @t525 @t524 (not @t526))))
% 34.34/35.00  (step @p849 :rule bool-impl-elim :args (@t17 @t528))
% 34.34/35.00  (step @p850 :rule cong :premises (@p849) :args ((forall @t9 (=> @t17 @t528))))
% 34.34/35.00  (step @p851 :rule bool-and-de-morgan :args (@t6 @t527 true))
% 34.34/35.00  (step @p852 :rule cong :premises (@p851) :args (@t530))
% 34.34/35.00  (step @p853 :rule cong :premises (@p852) :args (@t531))
% 34.34/35.00  (step @p854 :rule exists-elim :args ((= (exists @t7 @t529) @t531)))
% 34.34/35.00  (step @p855 :rule trans :premises (@p854 @p853))
% 34.34/35.00  (step @p856 :rule eq-symm :args (@t18 @t2))
% 34.34/35.00  (step @p857 :rule nary_cong :premises (@p719 @p856) :args (@t19))
% 34.34/35.00  (step @p858 :rule cong :premises (@p857) :args (@t20))
% 34.34/35.00  (step @p859 :rule trans :premises (@p858 @p855))
% 34.34/35.00  (step @p860 :rule cong :premises (@p235 @p859) :args (@t22))
% 34.34/35.00  (step @p861 :rule cong :premises (@p115 @p860) :args (@t23))
% 34.34/35.00  (step @p862 :rule cong :premises (@p861) :args (@t24))
% 34.34/35.00  (step @p863 :rule trans :premises (@p862 @p850))
% 34.34/35.00  (step @p864 :rule eq_resolve :premises (@p4 @p863))
% 34.34/35.00  (step @p865 :rule eq-symm :args (@t192 @t18))
% 34.34/35.00  (step @p866 :rule cong :premises (@p865) :args (@t532))
% 34.34/35.00  (step @p867 :rule refl :args (@t470))
% 34.34/35.00  (step @p868 :rule nary_cong :premises (@p867 @p866) :args (@t533))
% 34.34/35.00  (step @p869 :rule cong :premises (@p868) :args (@t534))
% 34.34/35.00  (step @p870 :rule cong :premises (@p869) :args (@t535))
% 34.34/35.00  (step @p871 :rule refl :args (@t335))
% 34.34/35.00  (step @p872 :rule cong :premises (@p871 @p870) :args (@t536))
% 34.34/35.00  (step @p873 :rule nary_cong :premises (@p548 @p872) :args (@t537))
% 34.34/35.00  (step @p874 :rule refl :args (@t538))
% 34.34/35.00  (step @p875 :rule cong :premises (@p874 @p873) :args ((=> @t538 @t537)))
% 34.34/35.00  (assume-push @p1176 @t538)
% 34.34/35.00  (step @p877 :rule instantiate :premises (@p864) :args (@t390))
% 34.34/35.00  (step-pop @p1177 :rule scope :premises (@p877))
% 34.34/35.00  (step @p878 :rule process_scope :premises (@p1177) :args (@t537))
% 34.34/35.00  (step @p880 :rule eq_resolve :premises (@p878 @p875))
% 34.34/35.00  (step @p881 :rule implies_elim :premises (@p880))
% 34.34/35.00  (step @p882 :rule chain_m_resolution :premises (@p881 @p864) :args (@t542 @t208 (@list @t538)))
% 34.34/35.00  (step @p883 :rule cnf_or_pos :args (@t542))
% 34.34/35.00  (step @p884 :rule reordering :premises (@p883) :args ((or @t337 @t541 (not @t542))))
% 34.34/35.00  (step @p885 :rule chain_m_resolution :premises (@p884 @p460 @p882) :args (@t541 @t342 (@list @t336 @t542)))
% 34.34/35.00  (step @p886 :rule cnf_or_neg :args (@t338 1))
% 34.34/35.00  (step @p887 :rule chain_m_resolution :premises (@p886 @p432) :args ((not @t335) @t339 @t340))
% 34.34/35.00  (step @p888 :rule bool-double-not-elim :args (@t539))
% 34.34/35.00  (step @p889 :rule refl :args (@t543))
% 34.34/35.00  (step @p890 :rule nary_cong :premises (@p889 @p871 @p888) :args ((or @t543 @t335 (not @t540))))
% 34.34/35.00  (step @p891 :rule cnf_equiv_pos2 :args (@t541))
% 34.34/35.00  (step @p892 :rule eq_resolve :premises (@p891 @p890))
% 34.34/35.00  (step @p893 :rule reordering :premises (@p892) :args ((or @t335 @t539 @t543)))
% 34.34/35.00  (step @p894 :rule chain_m_resolution :premises (@p893 @p887 @p885) :args (@t539 @t349 (@list @t335 @t541)))
% 34.34/35.00  (step @p895 :rule eq-symm :args (@t545 @t192))
% 34.34/35.00  (step @p896 :rule cong :premises (@p895) :args (@t546))
% 34.34/35.00  (step @p897 :rule refl :args (@t548))
% 34.34/35.00  (step @p898 :rule nary_cong :premises (@p897 @p896) :args (@t549))
% 34.34/35.00  (step @p899 :rule refl :args (@t539))
% 34.34/35.00  (step @p900 :rule cong :premises (@p899 @p898) :args ((=> @t539 @t549)))
% 34.34/35.00  (assume-push @p1178 @t539)
% 34.34/35.00  (step @p902 :rule instantiate :premises (@p894) :args ((@list @t544)))
% 34.34/35.00  (step-pop @p1179 :rule scope :premises (@p902))
% 34.34/35.00  (step @p903 :rule process_scope :premises (@p1179) :args (@t549))
% 34.34/35.00  (step @p905 :rule eq_resolve :premises (@p903 @p900))
% 34.34/35.00  (step @p906 :rule implies_elim :premises (@p905))
% 34.34/35.00  (step @p907 :rule chain_m_resolution :premises (@p906 @p894) :args (@t552 @t208 (@list @t539)))
% 34.34/35.00  (step @p908 :rule aci_norm :args ((= (or @t170 (or @t194 @t64)) @t553)))
% 34.34/35.00  (step @p909 :rule refl :args (@t64))
% 34.34/35.00  (step @p910 :rule nary_cong :premises (@p123 @p909) :args ((or @t197 @t64)))
% 34.34/35.00  (step @p911 :rule bool-impl-elim :args (@t196 @t64))
% 34.34/35.00  (step @p912 :rule trans :premises (@p911 @p910))
% 34.34/35.00  (step @p913 :rule nary_cong :premises (@p102 @p912) :args ((or @t170 @t554)))
% 34.34/35.00  (step @p914 :rule trans :premises (@p913 @p908))
% 34.34/35.00  (step @p915 :rule bool-impl-elim :args (@t17 @t554))
% 34.34/35.00  (step @p916 :rule trans :premises (@p915 @p914))
% 34.34/35.00  (step @p917 :rule cong :premises (@p916) :args ((forall @t9 (=> @t17 @t554))))
% 34.34/35.00  (step @p918 :rule refl :args (@t64))
% 34.34/35.00  (step @p919 :rule cong :premises (@p134 @p918) :args (@t66))
% 34.34/35.00  (step @p920 :rule cong :premises (@p115 @p919) :args (@t67))
% 34.34/35.00  (step @p921 :rule cong :premises (@p920) :args (@t68))
% 34.34/35.00  (step @p922 :rule trans :premises (@p921 @p917))
% 34.34/35.00  (step @p923 :rule eq_resolve :premises (@p22 @p922))
% 34.34/35.00  (step @p924 :rule refl :args (@t547))
% 34.34/35.00  (step @p925 :rule nary_cong :premises (@p142 @p141 @p924) :args (@t555))
% 34.34/35.00  (step @p926 :rule refl :args (@t556))
% 34.34/35.00  (step @p927 :rule cong :premises (@p926 @p925) :args ((=> @t556 @t555)))
% 34.34/35.00  (assume-push @p1180 @t556)
% 34.34/35.00  (step @p929 :rule instantiate :premises (@p923) :args (@t205))
% 34.34/35.00  (step-pop @p1181 :rule scope :premises (@p929))
% 34.34/35.00  (step @p930 :rule process_scope :premises (@p1181) :args (@t555))
% 34.34/35.00  (step @p932 :rule eq_resolve :premises (@p930 @p927))
% 34.34/35.00  (step @p933 :rule implies_elim :premises (@p932))
% 34.34/35.00  (step @p934 :rule chain_m_resolution :premises (@p933 @p923) :args (@t557 @t208 @t558))
% 34.34/35.00  (step @p935 :rule cnf_or_pos :args (@t557))
% 34.34/35.00  (step @p936 :rule reordering :premises (@p935) :args ((or @t201 @t206 @t547 (not @t557))))
% 34.34/35.00  (step @p937 :rule chain_m_resolution :premises (@p936 @p439 @p451 @p934) :args (@t547 @t343 (@list @t200 @t206 @t557)))
% 34.34/35.00  (step @p938 :rule cnf_or_pos :args (@t552))
% 34.34/35.00  (step @p939 :rule reordering :premises (@p938) :args ((or @t548 @t551 (not @t552))))
% 34.34/35.00  (step @p940 :rule chain_m_resolution :premises (@p939 @p937 @p907) :args (@t551 @t342 (@list @t547 @t552)))
% 34.34/35.00  (assume-push @p1182 @t329)
% 34.34/35.00  (assume-push @p1183 @t416)
% 34.34/35.00  (assume-push @p1184 @t448)
% 34.34/35.00  (assume-push @p1185 @t474)
% 34.34/35.00  (assume-push @p1186 @t524)
% 34.34/35.00  (assume-push @p1187 @t329)
% 34.34/35.00  (assume-push @p1188 @t416)
% 34.34/35.00  (assume-push @p1189 @t448)
% 34.34/35.00  (assume-push @p1190 @t474)
% 34.34/35.00  (assume-push @p1191 @t524)
% 34.34/35.00  (step @p951 :rule symm :premises (@p1186))
% 34.34/35.00  (step @p952 :rule symm :premises (@p487))
% 34.34/35.00  (step @p953 :rule cong :premises (@p952) :args (@t415))
% 34.34/35.00  (step @p954 :rule symm :premises (@p1184))
% 34.34/35.00  (step @p955 :rule cong :premises (@p954) :args (@t473))
% 34.34/35.00  (step @p956 :rule trans :premises (@p1185 @p955 @p1183 @p953))
% 34.34/35.00  (step @p957 :rule cong :premises (@p956 @p951) :args (@t447))
% 34.34/35.00  (step @p958 :rule trans :premises (@p1184 @p957))
% 34.34/35.00  (step-pop @p1192 :rule scope :premises (@p958))
% 34.34/35.00  (step-pop @p1193 :rule scope :premises (@p1192))
% 34.34/35.00  (step-pop @p1194 :rule scope :premises (@p1193))
% 34.34/35.00  (step-pop @p1195 :rule scope :premises (@p1194))
% 34.34/35.00  (step-pop @p1196 :rule scope :premises (@p1195))
% 34.34/35.00  (step @p959 :rule process_scope :premises (@p1196) :args (@t550))
% 34.34/35.00  (step @p965 :rule and_intro :premises (@p487 @p1183 @p1184 @p1185 @p1186))
% 34.34/35.00  (step @p966 :rule modus_ponens :premises (@p965 @p959))
% 34.34/35.00  (step-pop @p1197 :rule scope :premises (@p966))
% 34.34/35.00  (step-pop @p1198 :rule scope :premises (@p1197))
% 34.34/35.00  (step-pop @p1199 :rule scope :premises (@p1198))
% 34.34/35.00  (step-pop @p1200 :rule scope :premises (@p1199))
% 34.34/35.00  (step-pop @p1201 :rule scope :premises (@p1200))
% 34.34/35.00  (step @p967 :rule process_scope :premises (@p1201) :args (@t550))
% 34.34/35.00  (step @p973 :rule implies_elim :premises (@p967))
% 34.34/35.00  (step @p974 :rule cnf_and_neg :args (@t559))
% 34.34/35.00  (step @p975 :rule resolution :premises (@p974 @p973) :args (true @t559))
% 34.34/35.00  (step @p976 :rule chain_m_resolution :premises (@p975 @p940 @p487 @p848 @p846 @p454 @p17 @p791 @p498 @p487 @p756 @p754 @p729 @p727 @p701 @p696 @p691 @p685 @p667 @p665 @p454 @p460 @p614 @p612 @p454 @p460 @p560 @p558 @p460) :args (@t393 (@list true false false false false false false false false false false false false false false false true false false false false false false false false true false false) (@list @t550 @t329 @t524 @t526 @t199 @t47 @t490 @t355 @t329 @t488 @t489 @t474 @t475 @t448 @t450 @t452 @t454 @t441 @t444 @t199 @t336 @t416 @t419 @t199 @t336 @t391 @t394 @t336)))
% 34.34/35.00  (step @p977 :rule aci_norm :args ((= (or @t170 (or @t194 @t560)) @t561)))
% 34.34/35.00  (step @p978 :rule refl :args (@t560))
% 34.34/35.00  (step @p979 :rule nary_cong :premises (@p123 @p978) :args ((or @t197 @t560)))
% 34.34/35.00  (step @p980 :rule bool-impl-elim :args (@t196 @t560))
% 34.34/35.00  (step @p981 :rule trans :premises (@p980 @p979))
% 34.34/35.00  (step @p982 :rule nary_cong :premises (@p102 @p981) :args ((or @t170 @t562)))
% 34.34/35.00  (step @p983 :rule trans :premises (@p982 @p977))
% 34.34/35.00  (step @p984 :rule bool-impl-elim :args (@t17 @t562))
% 34.34/35.00  (step @p985 :rule trans :premises (@p984 @p983))
% 34.34/35.00  (step @p986 :rule cong :premises (@p985) :args ((forall @t9 (=> @t17 @t562))))
% 34.34/35.00  (step @p987 :rule eq-symm :args (@t108 @t2))
% 34.34/35.00  (step @p988 :rule cong :premises (@p134 @p987) :args (@t109))
% 34.34/35.00  (step @p989 :rule cong :premises (@p115 @p988) :args (@t110))
% 34.34/35.00  (step @p990 :rule cong :premises (@p989) :args (@t111))
% 34.34/35.00  (step @p991 :rule trans :premises (@p990 @p986))
% 34.34/35.00  (step @p992 :rule eq_resolve :premises (@p78 @p991))
% 34.34/35.00  (step @p993 :rule refl :args (@t566))
% 34.34/35.00  (step @p994 :rule eq-symm :args (@t191 tptp.nil))
% 34.34/35.00  (step @p995 :rule nary_cong :premises (@p480 @p994 @p993) :args (@t568))
% 34.34/35.00  (step @p996 :rule refl :args (@t569))
% 34.34/35.00  (step @p997 :rule cong :premises (@p996 @p995) :args ((=> @t569 @t568)))
% 34.34/35.00  (assume-push @p1202 @t569)
% 34.34/35.00  (step @p999 :rule instantiate :premises (@p992) :args (@t353))
% 34.34/35.00  (step-pop @p1203 :rule scope :premises (@p999))
% 34.34/35.00  (step @p1000 :rule process_scope :premises (@p1203) :args (@t568))
% 34.34/35.00  (step @p1002 :rule eq_resolve :premises (@p1000 @p997))
% 34.34/35.00  (step @p1003 :rule implies_elim :premises (@p1002))
% 34.34/35.00  (step @p1004 :rule chain_m_resolution :premises (@p1003 @p992) :args (@t571 @t208 (@list @t569)))
% 34.34/35.00  (step @p1005 :rule refl :args (@t194))
% 34.34/35.00  (step @p1006 :rule eq-symm :args (@t572 tptp.nil))
% 34.34/35.00  (step @p1007 :rule nary_cong :premises (@p1006 @p1005) :args (@t573))
% 34.34/35.00  (step @p1008 :rule refl :args (@t574))
% 34.34/35.00  (step @p1009 :rule cong :premises (@p1008 @p1007) :args (@t575))
% 34.34/35.00  (step @p1010 :rule refl :args (@t576))
% 34.34/35.00  (step @p1011 :rule nary_cong :premises (@p220 @p1010 @p1009) :args (@t577))
% 34.34/35.00  (step @p1012 :rule aci_norm :args ((= @t579 @t577)))
% 34.34/35.00  (step @p1013 :rule trans :premises (@p1012 @p1011))
% 34.34/35.00  (step @p1014 :rule cong :premises (@p1013) :args (@t581))
% 34.34/35.00  (step @p1015 :rule quant-merge-prenex :args ((= (forall @t9 @t583) @t581)))
% 34.34/35.00  (step @p1016 :rule alpha_equiv :args (@t584 (@list @t572) @t177))
% 34.34/35.00  (step @p1017 :rule nary_cong :premises (@p102 @p1016) :args (@t585))
% 34.34/35.00  (step @p1018 :rule quant-miniscope-or :args ((= @t583 @t585)))
% 34.34/35.00  (step @p1019 :rule trans :premises (@p1018 @p1017))
% 34.34/35.00  (step @p1020 :rule symm :premises (@p1019))
% 34.34/35.00  (step @p1021 :rule cong :premises (@p1020) :args ((forall @t9 (or @t170 @t587))))
% 34.34/35.00  (step @p1022 :rule trans :premises (@p1021 @p1015))
% 34.34/35.00  (step @p1023 :rule trans :premises (@p1022 @p1014))
% 34.34/35.00  (step @p1024 :rule bool-impl-elim :args (@t17 @t587))
% 34.34/35.00  (step @p1025 :rule cong :premises (@p1024) :args ((forall @t9 (=> @t17 @t587))))
% 34.34/35.00  (step @p1026 :rule trans :premises (@p1025 @p1023))
% 34.34/35.00  (step @p1027 :rule bool-impl-elim :args (@t27 @t586))
% 34.34/35.00  (step @p1028 :rule cong :premises (@p1027) :args ((forall @t7 (=> @t27 @t586))))
% 34.34/35.00  (step @p1029 :rule eq-symm :args (tptp.nil @t1))
% 34.34/35.00  (step @p1030 :rule nary_cong :premises (@p1029 @p133) :args (@t121))
% 34.34/35.00  (step @p1031 :rule refl :args (@t122))
% 34.34/35.00  (step @p1032 :rule cong :premises (@p1031 @p1030) :args (@t123))
% 34.34/35.00  (step @p1033 :rule cong :premises (@p423 @p1032) :args (@t124))
% 34.34/35.00  (step @p1034 :rule cong :premises (@p1033) :args (@t125))
% 34.34/35.00  (step @p1035 :rule trans :premises (@p1034 @p1028))
% 34.34/35.00  (step @p1036 :rule cong :premises (@p115 @p1035) :args (@t126))
% 34.34/35.00  (step @p1037 :rule cong :premises (@p1036) :args (@t127))
% 34.34/35.00  (step @p1038 :rule trans :premises (@p1037 @p1026))
% 34.34/35.00  (step @p1039 :rule eq_resolve :premises (@p83 @p1038))
% 34.34/35.00  (step @p1040 :rule refl :args (@t570))
% 34.34/35.00  (step @p1041 :rule nary_cong :premises (@p1040 @p547) :args (@t588))
% 34.34/35.00  (step @p1042 :rule refl :args (@t589))
% 34.34/35.00  (step @p1043 :rule cong :premises (@p1042 @p1041) :args (@t590))
% 34.34/35.00  (step @p1044 :rule nary_cong :premises (@p548 @p480 @p1043) :args (@t591))
% 34.34/35.00  (step @p1045 :rule refl :args (@t592))
% 34.34/35.00  (step @p1046 :rule cong :premises (@p1045 @p1044) :args ((=> @t592 @t591)))
% 34.34/35.00  (assume-push @p1204 @t592)
% 34.34/35.00  (step @p1048 :rule instantiate :premises (@p1039) :args (@t193))
% 34.34/35.00  (step-pop @p1205 :rule scope :premises (@p1048))
% 34.34/35.00  (step @p1049 :rule process_scope :premises (@p1205) :args (@t591))
% 34.34/35.00  (step @p1051 :rule eq_resolve :premises (@p1049 @p1046))
% 34.34/35.00  (step @p1052 :rule implies_elim :premises (@p1051))
% 34.34/35.00  (step @p1053 :rule chain_m_resolution :premises (@p1052 @p1039) :args (@t595 @t208 (@list @t592)))
% 34.34/35.00  (step @p1054 :rule cnf_or_pos :args (@t595))
% 34.34/35.00  (step @p1055 :rule reordering :premises (@p1054) :args ((or @t337 @t344 @t594 (not @t595))))
% 34.34/35.00  (step @p1056 :rule chain_m_resolution :premises (@p1055 @p460 @p454 @p1053) :args (@t594 @t341 (@list @t336 @t199 @t595)))
% 34.34/35.00  (step @p1057 :rule false_intro :premises (@p451))
% 34.34/35.00  (step @p952 :rule symm :premises (@p487))
% 34.34/35.00  (step @p1058 :rule refl :args (tptp.nil))
% 34.34/35.00  (step @p1059 :rule cong :premises (@p1058 @p952) :args (@t589))
% 34.34/35.00  (step @p1060 :rule trans :premises (@p1059 @p1057))
% 34.34/35.00  (step @p1061 :rule false_elim :premises (@p1060))
% 34.34/35.00  (step @p1062 :rule cnf_equiv_pos2 :args (@t594))
% 34.34/35.00  (step @p1063 :rule reordering :premises (@p1062) :args ((or @t589 @t596 (not @t594))))
% 34.34/35.00  (step @p1064 :rule chain_m_resolution :premises (@p1063 @p1061 @p1056) :args (@t596 @t349 (@list @t589 @t594)))
% 34.34/35.00  (step @p1065 :rule cnf_and_neg :args (@t593))
% 34.34/35.00  (step @p1066 :rule chain_m_resolution :premises (@p1065 @p1064 @p976) :args ((not @t570) @t349 (@list @t593 @t393)))
% 34.34/35.00  (step @p1067 :rule cnf_or_pos :args (@t571))
% 34.34/35.00  (step @p1068 :rule reordering :premises (@p1067) :args ((or @t344 @t570 @t566 (not @t571))))
% 34.34/35.00  (step @p1069 :rule chain_m_resolution :premises (@p1068 @p454 @p1066 @p1004) :args (@t566 @t343 (@list @t199 @t570 @t571)))
% 34.34/35.00  (step @p1070 :rule aci_norm :args ((= @t601 (or @t170 @t599 @t598))))
% 34.34/35.00  (step @p1071 :rule cong :premises (@p1070) :args (@t602))
% 34.34/35.00  (step @p1072 :rule quant-merge-prenex :args ((= (forall @t9 @t604) @t602)))
% 34.34/35.00  (step @p1073 :rule alpha_equiv :args (@t605 (@list @t597) @t177))
% 34.34/35.00  (step @p1074 :rule nary_cong :premises (@p102 @p1073) :args (@t606))
% 34.34/35.00  (step @p1075 :rule quant-miniscope-or :args ((= @t604 @t606)))
% 34.34/35.00  (step @p1076 :rule trans :premises (@p1075 @p1074))
% 34.34/35.00  (step @p1077 :rule symm :premises (@p1076))
% 34.34/35.00  (step @p1078 :rule cong :premises (@p1077) :args ((forall @t9 (or @t170 @t608))))
% 34.34/35.00  (step @p1079 :rule trans :premises (@p1078 @p1072))
% 34.34/35.00  (step @p1080 :rule trans :premises (@p1079 @p1071))
% 34.34/35.00  (step @p1081 :rule bool-impl-elim :args (@t17 @t608))
% 34.34/35.00  (step @p1082 :rule cong :premises (@p1081) :args ((forall @t9 (=> @t17 @t608))))
% 34.34/35.00  (step @p1083 :rule trans :premises (@p1082 @p1080))
% 34.34/35.00  (step @p1084 :rule bool-impl-elim :args (@t6 @t607))
% 34.34/35.00  (step @p1085 :rule cong :premises (@p1084) :args ((forall @t7 (=> @t6 @t607))))
% 34.34/35.00  (step @p1086 :rule eq-symm :args (@t46 @t2))
% 34.34/35.00  (step @p1087 :rule cong :premises (@p1086) :args (@t48))
% 34.34/35.00  (step @p1088 :rule cong :premises (@p719 @p1087) :args (@t49))
% 34.34/35.00  (step @p1089 :rule cong :premises (@p1088) :args (@t50))
% 34.34/35.00  (step @p1090 :rule trans :premises (@p1089 @p1085))
% 34.34/35.00  (step @p1091 :rule cong :premises (@p115 @p1090) :args (@t51))
% 34.34/35.00  (step @p1092 :rule cong :premises (@p1091) :args (@t52))
% 34.34/35.00  (step @p1093 :rule trans :premises (@p1092 @p1083))
% 34.34/35.00  (step @p1094 :rule eq_resolve :premises (@p18 @p1093))
% 34.34/35.00  (step @p1095 :rule instantiate :premises (@p1094) :args ((@list @t190 @t564)))
% 34.34/35.00  (step @p1096 :rule refl :args (@t609))
% 34.34/35.00  (step @p1097 :rule nary_cong :premises (@p480 @p994 @p1096) :args (@t610))
% 34.34/35.00  (step @p1098 :rule cong :premises (@p926 @p1097) :args ((=> @t556 @t610)))
% 34.34/35.00  (assume-push @p1206 @t556)
% 34.34/35.00  (step @p1100 :rule instantiate :premises (@p923) :args (@t353))
% 34.34/35.00  (step-pop @p1207 :rule scope :premises (@p1100))
% 34.34/35.00  (step @p1101 :rule process_scope :premises (@p1207) :args (@t610))
% 34.34/35.00  (step @p1103 :rule eq_resolve :premises (@p1101 @p1098))
% 34.34/35.00  (step @p1104 :rule implies_elim :premises (@p1103))
% 34.34/35.00  (step @p1105 :rule chain_m_resolution :premises (@p1104 @p923) :args (@t611 @t208 @t558))
% 34.34/35.00  (step @p1106 :rule cnf_or_pos :args (@t611))
% 34.34/35.00  (step @p1107 :rule reordering :premises (@p1106) :args ((or @t344 @t570 @t609 (not @t611))))
% 34.34/35.00  (step @p1108 :rule chain_m_resolution :premises (@p1107 @p454 @p1066 @p1105) :args (@t609 @t343 (@list @t199 @t570 @t611)))
% 34.34/35.00  (step @p1109 :rule cnf_or_pos :args (@t615))
% 34.34/35.00  (step @p1110 :rule reordering :premises (@p1109) :args ((or @t201 @t614 @t613 (not @t615))))
% 34.34/35.00  (step @p1111 :rule chain_m_resolution :premises (@p1110 @p439 @p1108 @p1095) :args (@t613 @t341 (@list @t200 @t609 @t615)))
% 34.34/35.00  (assume-push @p1208 @t329)
% 34.34/35.00  (assume-push @p1209 @t393)
% 34.34/35.00  (assume-push @p1210 @t355)
% 34.34/35.00  (assume-push @p1211 @t566)
% 34.34/35.00  (assume-push @p1212 @t329)
% 34.34/35.00  (assume-push @p1213 @t393)
% 34.34/35.00  (assume-push @p1214 @t355)
% 34.34/35.00  (assume-push @p1215 @t566)
% 34.34/35.00  (step @p767 :rule refl :args (@t191))
% 34.34/35.00  (step @p1120 :rule cong :premises (@p1209 @p767) :args (@t354))
% 34.34/35.00  (step @p1121 :rule trans :premises (@p498 @p1120 @p952))
% 34.34/35.00  (step @p1122 :rule cong :premises (@p1121) :args (@t563))
% 34.34/35.00  (step @p1123 :rule trans :premises (@p1122 @p498 @p1120 @p952))
% 34.34/35.00  (step @p1124 :rule refl :args (@t564))
% 34.34/35.00  (step @p1125 :rule cong :premises (@p1124 @p1123) :args (@t565))
% 34.34/35.00  (step @p773 :rule symm :premises (@p498))
% 34.34/35.00  (step @p1126 :rule symm :premises (@p1120))
% 34.34/35.00  (step @p1127 :rule trans :premises (@p487 @p1126 @p773 @p1211 @p1125))
% 34.34/35.00  (step-pop @p1216 :rule scope :premises (@p1127))
% 34.34/35.00  (step-pop @p1217 :rule scope :premises (@p1216))
% 34.34/35.00  (step-pop @p1218 :rule scope :premises (@p1217))
% 34.34/35.00  (step-pop @p1219 :rule scope :premises (@p1218))
% 34.34/35.00  (step @p1128 :rule process_scope :premises (@p1219) :args (@t612))
% 34.34/35.00  (step @p1133 :rule and_intro :premises (@p487 @p1209 @p498 @p1211))
% 34.34/35.00  (step @p1134 :rule modus_ponens :premises (@p1133 @p1128))
% 34.34/35.00  (step-pop @p1220 :rule scope :premises (@p1134))
% 34.34/35.00  (step-pop @p1221 :rule scope :premises (@p1220))
% 34.34/35.00  (step-pop @p1222 :rule scope :premises (@p1221))
% 34.34/35.00  (step-pop @p1223 :rule scope :premises (@p1222))
% 34.34/35.00  (step @p1135 :rule process_scope :premises (@p1223) :args (@t612))
% 34.34/35.00  (step @p1140 :rule implies_elim :premises (@p1135))
% 34.34/35.00  (step @p1141 :rule cnf_and_neg :args (@t616))
% 34.34/35.00  (step @p1142 :rule resolution :premises (@p1141 @p1140) :args (true @t616))
% 34.34/35.00  (step @p1143 false :rule chain_m_resolution :premises (@p1142 @p1111 @p1069 @p976 @p498 @p487) :args (false (@list true false false false false) (@list @t612 @t566 @t393 @t355 @t329)))
% 34.34/35.00  )
% 34.34/35.00  % SZS output end Proof
% 34.34/35.00  % cvc5 exiting
%------------------------------------------------------------------------------