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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWC030+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 08:57:46 AM UTC 2026

% Result   : Theorem 0.53s 0.71s
% Output   : Proof 0.53s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC030+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n002.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 19:10:33 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.31/0.52  %----Proving TF0_NAR, FOF, or CNF
% 0.53/0.71  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.53/0.71  % SZS status Theorem
% 0.53/0.71  % SZS output start Proof
% 0.53/0.71  (
% 0.53/0.71  (declare-sort $$unsorted 0)
% 0.53/0.71  (declare-const tptp.tl (-> $$unsorted $$unsorted))
% 0.53/0.71  (declare-const tptp.hd (-> $$unsorted $$unsorted))
% 0.53/0.71  (declare-const tptp.duplicatefreeP (-> $$unsorted Bool))
% 0.53/0.71  (declare-const tptp.strictorderedP (-> $$unsorted Bool))
% 0.53/0.71  (declare-const tptp.geq (-> $$unsorted $$unsorted Bool))
% 0.53/0.71  (declare-const tptp.strictorderP (-> $$unsorted Bool))
% 0.53/0.71  (declare-const tptp.equalelemsP (-> $$unsorted Bool))
% 0.53/0.71  (declare-const tptp.totalorderP (-> $$unsorted Bool))
% 0.53/0.71  (declare-const tptp.neq (-> $$unsorted $$unsorted Bool))
% 0.53/0.71  (declare-const tptp.totalorderedP (-> $$unsorted Bool))
% 0.53/0.71  (declare-const tptp.singletonP (-> $$unsorted Bool))
% 0.53/0.71  (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted))
% 0.53/0.71  (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted))
% 0.53/0.71  (declare-const tptp.nil $$unsorted)
% 0.53/0.71  (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool))
% 0.53/0.71  (declare-const tptp.lt (-> $$unsorted $$unsorted Bool))
% 0.53/0.71  (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool))
% 0.53/0.71  (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool))
% 0.53/0.71  (declare-const tptp.gt (-> $$unsorted $$unsorted Bool))
% 0.53/0.71  (declare-const tptp.ssList (-> $$unsorted Bool))
% 0.53/0.71  (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool))
% 0.53/0.71  (declare-const tptp.cyclefreeP (-> $$unsorted Bool))
% 0.53/0.71  (declare-const tptp.ssItem (-> $$unsorted Bool))
% 0.53/0.71  (declare-const tptp.leq (-> $$unsorted $$unsorted Bool))
% 0.53/0.71  (define @t1 () (@var "V" $$unsorted))
% 0.53/0.71  (define @t2 () (@var "U" $$unsorted))
% 0.53/0.71  (define @t3 () (= @t2 @t1))
% 0.53/0.71  (define @t4 () (not @t3))
% 0.53/0.71  (define @t5 () (= (tptp.neq @t2 @t1) @t4))
% 0.53/0.71  (define @t6 () (tptp.ssItem @t1))
% 0.53/0.71  (define @t7 () (@list @t1))
% 0.53/0.71  (define @t8 () (tptp.ssItem @t2))
% 0.53/0.71  (define @t9 () (@list @t2))
% 0.53/0.71  (define @t10 () (@var "X" $$unsorted))
% 0.53/0.71  (define @t11 () (tptp.cons @t1 @t10))
% 0.53/0.71  (define @t12 () (@var "W" $$unsorted))
% 0.53/0.71  (define @t13 () (tptp.ssList @t10))
% 0.53/0.71  (define @t14 () (@list @t10))
% 0.53/0.71  (define @t15 () (tptp.ssList @t12))
% 0.53/0.71  (define @t16 () (@list @t12))
% 0.53/0.71  (define @t17 () (tptp.ssList @t2))
% 0.53/0.71  (define @t18 () (tptp.cons @t1 tptp.nil))
% 0.53/0.71  (define @t19 () (tptp.app @t1 @t12))
% 0.53/0.71  (define @t20 () (tptp.frontsegP @t2 @t1))
% 0.53/0.71  (define @t21 () (tptp.ssList @t1))
% 0.53/0.71  (define @t22 () (tptp.app @t12 @t1))
% 0.53/0.71  (define @t23 () (tptp.rearsegP @t2 @t1))
% 0.53/0.71  (define @t24 () (tptp.segmentP @t2 @t1))
% 0.53/0.71  (define @t25 () (tptp.leq @t12 @t1))
% 0.53/0.71  (define @t26 () (tptp.leq @t1 @t12))
% 0.53/0.71  (define @t27 () (@var "Z" $$unsorted))
% 0.53/0.71  (define @t28 () (@var "Y" $$unsorted))
% 0.53/0.71  (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2))
% 0.53/0.71  (define @t30 () (tptp.ssList @t27))
% 0.53/0.71  (define @t31 () (@list @t27))
% 0.53/0.71  (define @t32 () (tptp.ssList @t28))
% 0.53/0.71  (define @t33 () (@list @t28))
% 0.53/0.71  (define @t34 () (tptp.ssItem @t12))
% 0.53/0.71  (define @t35 () (tptp.lt @t1 @t12))
% 0.53/0.71  (define @t36 () (= @t1 @t12))
% 0.53/0.71  (define @t37 () (tptp.cons @t1 @t2))
% 0.53/0.71  (define @t38 () (= @t1 @t2))
% 0.53/0.71  (define @t39 () (tptp.cons @t12 @t1))
% 0.53/0.71  (define @t40 () (= tptp.nil @t2))
% 0.53/0.71  (define @t41 () (tptp.hd @t2))
% 0.53/0.71  (define @t42 () (not @t40))
% 0.53/0.71  (define @t43 () (tptp.tl @t2))
% 0.53/0.71  (define @t44 () (tptp.app @t2 @t1))
% 0.53/0.71  (define @t45 () (tptp.app @t1 @t2))
% 0.53/0.71  (define @t46 () (tptp.leq @t1 @t2))
% 0.53/0.71  (define @t47 () (tptp.leq @t2 @t1))
% 0.53/0.71  (define @t48 () (tptp.geq @t2 @t1))
% 0.53/0.71  (define @t49 () (tptp.lt @t1 @t2))
% 0.53/0.71  (define @t50 () (tptp.lt @t2 @t1))
% 0.53/0.71  (define @t51 () (tptp.lt @t2 @t12))
% 0.53/0.71  (define @t52 () (tptp.gt @t2 @t1))
% 0.53/0.71  (define @t53 () (tptp.memberP @t12 @t2))
% 0.53/0.71  (define @t54 () (tptp.app @t12 @t2))
% 0.53/0.71  (define @t55 () (tptp.cons @t2 tptp.nil))
% 0.53/0.71  (define @t56 () (tptp.hd @t1))
% 0.53/0.71  (define @t57 () (= tptp.nil @t1))
% 0.53/0.71  (define @t58 () (not @t57))
% 0.53/0.71  (define @t59 () (tptp.cons @t2 @t1))
% 0.53/0.71  (define @t60 () (= @t12 @t2))
% 0.53/0.71  (define @t61 () (and @t57 @t40))
% 0.53/0.71  (define @t62 () (= tptp.nil @t44))
% 0.53/0.71  (define @t63 () (= @t62 @t61))
% 0.53/0.71  (define @t64 () (=> @t21 @t63))
% 0.53/0.71  (define @t65 () (forall @t7 @t64))
% 0.53/0.71  (define @t66 () (=> @t17 @t65))
% 0.53/0.71  (define @t67 () (forall @t9 @t66))
% 0.53/0.71  (define @t68 () (or @t42 @t57))
% 0.53/0.71  (define @t69 () (or @t58 @t40))
% 0.53/0.71  (define @t70 () (and @t69 @t68))
% 0.53/0.71  (define @t71 () (tptp.app @t27 @t28))
% 0.53/0.71  (define @t72 () (not (= @t71 @t12)))
% 0.53/0.71  (define @t73 () (tptp.app @t28 @t27))
% 0.53/0.71  (define @t74 () (not (= @t73 @t10)))
% 0.53/0.71  (define @t75 () (or @t74 @t72))
% 0.53/0.71  (define @t76 () (=> @t30 @t75))
% 0.53/0.71  (define @t77 () (forall @t31 @t76))
% 0.53/0.71  (define @t78 () (=> @t32 @t77))
% 0.53/0.71  (define @t79 () (forall @t33 @t78))
% 0.53/0.71  (define @t80 () (not (= @t2 @t12)))
% 0.53/0.71  (define @t81 () (not (= @t1 @t10)))
% 0.53/0.71  (define @t82 () (or @t81 @t80 @t79 @t70))
% 0.53/0.71  (define @t83 () (=> @t13 @t82))
% 0.53/0.71  (define @t84 () (forall @t14 @t83))
% 0.53/0.71  (define @t85 () (=> @t15 @t84))
% 0.53/0.71  (define @t86 () (forall @t16 @t85))
% 0.53/0.71  (define @t87 () (=> @t21 @t86))
% 0.53/0.71  (define @t88 () (forall @t7 @t87))
% 0.53/0.71  (define @t89 () (=> @t17 @t88))
% 0.53/0.71  (define @t90 () (forall @t9 @t89))
% 0.53/0.71  (define @t91 () (not @t90))
% 0.53/0.71  (define @t92 () (= @t2 tptp.nil))
% 0.53/0.71  (define @t93 () (@var "BOUND_VARIABLE_10594" $$unsorted))
% 0.53/0.71  (define @t94 () (and (= @t93 tptp.nil) @t92))
% 0.53/0.71  (define @t95 () (= tptp.nil (tptp.app @t2 @t93)))
% 0.53/0.71  (define @t96 () (= @t95 @t94))
% 0.53/0.71  (define @t97 () (not (tptp.ssList @t93)))
% 0.53/0.71  (define @t98 () (not @t17))
% 0.53/0.71  (define @t99 () (or @t98 @t97 @t96))
% 0.53/0.71  (define @t100 () (or @t97 @t96))
% 0.53/0.71  (define @t101 () (or @t98 @t100))
% 0.53/0.71  (define @t102 () (@list @t2 @t93))
% 0.53/0.71  (define @t103 () (forall @t102 @t101))
% 0.53/0.71  (define @t104 () (@list @t93))
% 0.53/0.71  (define @t105 () (forall @t104 @t101))
% 0.53/0.71  (define @t106 () (forall @t104 @t100))
% 0.53/0.71  (define @t107 () (or @t98 @t106))
% 0.53/0.71  (define @t108 () (= @t1 tptp.nil))
% 0.53/0.71  (define @t109 () (= @t62 (and @t108 @t92)))
% 0.53/0.71  (define @t110 () (not @t21))
% 0.53/0.71  (define @t111 () (forall @t7 (or @t110 @t109)))
% 0.53/0.71  (define @t112 () (@var "BOUND_VARIABLE_11092" $$unsorted))
% 0.53/0.71  (define @t113 () (not (tptp.ssList @t112)))
% 0.53/0.71  (define @t114 () (@var "BOUND_VARIABLE_11090" $$unsorted))
% 0.53/0.71  (define @t115 () (not (tptp.ssList @t114)))
% 0.53/0.71  (define @t116 () (tptp.app @t114 @t112))
% 0.53/0.71  (define @t117 () (= tptp.nil @t116))
% 0.53/0.71  (define @t118 () (tptp.app @t112 @t114))
% 0.53/0.71  (define @t119 () (= tptp.nil @t118))
% 0.53/0.71  (define @t120 () (not @t117))
% 0.53/0.71  (define @t121 () (and (or @t120 @t119) (or (not @t119) @t117)))
% 0.53/0.71  (define @t122 () (not (tptp.ssList @t116)))
% 0.53/0.71  (define @t123 () (not (tptp.ssList @t118)))
% 0.53/0.71  (define @t124 () (or @t123 @t122 @t121 @t115 @t113))
% 0.53/0.71  (define @t125 () (@list @t114 @t112))
% 0.53/0.71  (define @t126 () (forall @t125 @t124))
% 0.53/0.71  (define @t127 () (@quantifiers_skolemize @t126 1))
% 0.53/0.71  (define @t128 () (@quantifiers_skolemize @t126 0))
% 0.53/0.71  (define @t129 () (= tptp.nil @t128))
% 0.53/0.71  (define @t130 () (and @t129 (= @t127 tptp.nil)))
% 0.53/0.71  (define @t131 () (tptp.app @t127 @t128))
% 0.53/0.71  (define @t132 () (= tptp.nil @t131))
% 0.53/0.71  (define @t133 () (= @t132 @t130))
% 0.53/0.71  (define @t134 () (tptp.ssList @t128))
% 0.53/0.71  (define @t135 () (not @t134))
% 0.53/0.71  (define @t136 () (tptp.ssList @t127))
% 0.53/0.71  (define @t137 () (not @t136))
% 0.53/0.71  (define @t138 () (or @t137 @t135 @t133))
% 0.53/0.71  (define @t139 () (forall @t102 (or @t98 @t97 (= @t95 (and (= tptp.nil @t93) @t92)))))
% 0.53/0.71  (define @t140 () (= tptp.nil @t127))
% 0.53/0.71  (define @t141 () (and @t129 @t140))
% 0.53/0.71  (define @t142 () (= @t132 @t141))
% 0.53/0.71  (define @t143 () (or @t137 @t135 @t142))
% 0.53/0.71  (define @t144 () (@list false))
% 0.53/0.71  (define @t145 () (@list @t139))
% 0.53/0.71  (define @t146 () (not (= @t118 @t118)))
% 0.53/0.71  (define @t147 () (= @t118 tptp.nil))
% 0.53/0.71  (define @t148 () (not @t147))
% 0.53/0.71  (define @t149 () (or @t148 @t117))
% 0.53/0.71  (define @t150 () (or @t120 @t147))
% 0.53/0.71  (define @t151 () (and @t150 @t149))
% 0.53/0.71  (define @t152 () (or @t123 @t122 @t151 @t115 @t113 @t146))
% 0.53/0.71  (define @t153 () (not (= @t2 @t118)))
% 0.53/0.71  (define @t154 () (not @t92))
% 0.53/0.71  (define @t155 () (and (or @t120 @t92) (or @t154 @t117)))
% 0.53/0.71  (define @t156 () (or @t153 @t98 @t122 @t155 @t115 @t113 @t153))
% 0.53/0.71  (define @t157 () (or @t98 @t122 @t155 @t115 @t113 @t153))
% 0.53/0.71  (define @t158 () (forall @t9 @t157))
% 0.53/0.71  (define @t159 () (forall @t125 @t158))
% 0.53/0.71  (define @t160 () (forall (@list @t114 @t112 @t2) @t157))
% 0.53/0.71  (define @t161 () (@list @t2 @t114 @t112))
% 0.53/0.71  (define @t162 () (or @t122 @t155 @t115 @t113 @t153))
% 0.53/0.71  (define @t163 () (or @t98 @t162))
% 0.53/0.71  (define @t164 () (forall @t161 @t163))
% 0.53/0.71  (define @t165 () (forall @t125 @t163))
% 0.53/0.71  (define @t166 () (forall @t125 @t162))
% 0.53/0.71  (define @t167 () (@var "BOUND_VARIABLE_11048" $$unsorted))
% 0.53/0.71  (define @t168 () (@var "BOUND_VARIABLE_11046" $$unsorted))
% 0.53/0.71  (define @t169 () (@list @t168 @t167))
% 0.53/0.71  (define @t170 () (or @t98 @t166))
% 0.53/0.71  (define @t171 () (not (= @t2 (tptp.app @t167 @t168))))
% 0.53/0.71  (define @t172 () (not (tptp.ssList @t167)))
% 0.53/0.71  (define @t173 () (not (tptp.ssList @t168)))
% 0.53/0.71  (define @t174 () (tptp.app @t168 @t167))
% 0.53/0.71  (define @t175 () (= tptp.nil @t174))
% 0.53/0.71  (define @t176 () (and (or (not @t175) @t92) (or @t154 @t175)))
% 0.53/0.71  (define @t177 () (not (tptp.ssList @t174)))
% 0.53/0.71  (define @t178 () (or @t177 @t176 @t173 @t172 @t171))
% 0.53/0.71  (define @t179 () (@list @t168 @t167))
% 0.53/0.71  (define @t180 () (or @t98 (forall @t179 @t178)))
% 0.53/0.71  (define @t181 () (not (= @t174 @t174)))
% 0.53/0.71  (define @t182 () (= @t174 tptp.nil))
% 0.53/0.71  (define @t183 () (or @t154 @t182))
% 0.53/0.71  (define @t184 () (not @t182))
% 0.53/0.71  (define @t185 () (or @t184 @t92))
% 0.53/0.71  (define @t186 () (and @t185 @t183))
% 0.53/0.71  (define @t187 () (or @t177 @t186 @t173 @t172 @t181 @t171))
% 0.53/0.71  (define @t188 () (not (= @t1 @t174)))
% 0.53/0.71  (define @t189 () (and (or (not @t108) @t92) (or @t154 @t108)))
% 0.53/0.71  (define @t190 () (or @t188 @t110 @t189 @t173 @t172 @t188 @t171))
% 0.53/0.71  (define @t191 () (or @t110 @t189 @t173 @t172 @t188 @t171))
% 0.53/0.71  (define @t192 () (forall @t7 @t191))
% 0.53/0.71  (define @t193 () (forall @t179 @t192))
% 0.53/0.71  (define @t194 () (forall (@list @t168 @t167 @t1) @t191))
% 0.53/0.71  (define @t195 () (@list @t1 @t168 @t167))
% 0.53/0.71  (define @t196 () (or @t173 @t172 @t188 @t171))
% 0.53/0.71  (define @t197 () (or @t110 @t189 @t196))
% 0.53/0.71  (define @t198 () (forall @t195 @t197))
% 0.53/0.71  (define @t199 () (forall @t179 @t197))
% 0.53/0.71  (define @t200 () (forall @t179 @t196))
% 0.53/0.71  (define @t201 () (@var "BOUND_VARIABLE_11006" $$unsorted))
% 0.53/0.71  (define @t202 () (@var "BOUND_VARIABLE_11004" $$unsorted))
% 0.53/0.71  (define @t203 () (@list @t202 @t201))
% 0.53/0.71  (define @t204 () (or @t110 @t189 @t200))
% 0.53/0.71  (define @t205 () (tptp.app @t201 @t202))
% 0.53/0.71  (define @t206 () (not (= @t2 @t205)))
% 0.53/0.71  (define @t207 () (not (= @t1 (tptp.app @t202 @t201))))
% 0.53/0.71  (define @t208 () (not (tptp.ssList @t201)))
% 0.53/0.71  (define @t209 () (not (tptp.ssList @t202)))
% 0.53/0.71  (define @t210 () (or @t209 @t208 @t207 @t206))
% 0.53/0.71  (define @t211 () (@list @t202 @t201))
% 0.53/0.71  (define @t212 () (forall @t211 @t210))
% 0.53/0.71  (define @t213 () (or @t110 @t189 @t212))
% 0.53/0.71  (define @t214 () (forall @t7 @t213))
% 0.53/0.71  (define @t215 () (or @t98 @t214))
% 0.53/0.71  (define @t216 () (or @t98 @t213))
% 0.53/0.71  (define @t217 () (or @t110 @t189 @t98 @t212))
% 0.53/0.71  (define @t218 () (or @t189 @t110 @t98 @t212))
% 0.53/0.71  (define @t219 () (or @t98 @t212))
% 0.53/0.71  (define @t220 () (or @t98 @t210))
% 0.53/0.71  (define @t221 () (or @t98 @t209 @t208 @t207 @t206))
% 0.53/0.71  (define @t222 () (not (= @t2 @t2)))
% 0.53/0.71  (define @t223 () (or @t98 @t222 @t209 @t208 @t207 @t206))
% 0.53/0.71  (define @t224 () (not (= @t12 @t205)))
% 0.53/0.71  (define @t225 () (not @t15))
% 0.53/0.71  (define @t226 () (or @t80 @t225 @t80 @t209 @t208 @t207 @t224))
% 0.53/0.71  (define @t227 () (or @t225 @t80 @t209 @t208 @t207 @t224))
% 0.53/0.71  (define @t228 () (forall @t16 @t227))
% 0.53/0.71  (define @t229 () (forall @t211 @t228))
% 0.53/0.71  (define @t230 () (forall (@list @t202 @t201 @t12) @t227))
% 0.53/0.71  (define @t231 () (@list @t12 @t202 @t201))
% 0.53/0.71  (define @t232 () (or @t209 @t208 @t207 @t224))
% 0.53/0.71  (define @t233 () (or @t225 @t80 @t232))
% 0.53/0.71  (define @t234 () (forall @t231 @t233))
% 0.53/0.71  (define @t235 () (forall @t211 @t233))
% 0.53/0.71  (define @t236 () (forall @t211 @t232))
% 0.53/0.71  (define @t237 () (@var "BOUND_VARIABLE_10966" $$unsorted))
% 0.53/0.71  (define @t238 () (@var "BOUND_VARIABLE_10964" $$unsorted))
% 0.53/0.71  (define @t239 () (@list @t238 @t237))
% 0.53/0.71  (define @t240 () (or @t225 @t80 @t236))
% 0.53/0.71  (define @t241 () (not (= @t12 (tptp.app @t237 @t238))))
% 0.53/0.71  (define @t242 () (tptp.app @t238 @t237))
% 0.53/0.71  (define @t243 () (not (= @t1 @t242)))
% 0.53/0.71  (define @t244 () (not (tptp.ssList @t237)))
% 0.53/0.71  (define @t245 () (not (tptp.ssList @t238)))
% 0.53/0.71  (define @t246 () (or @t245 @t244 @t243 @t241))
% 0.53/0.71  (define @t247 () (@list @t238 @t237))
% 0.53/0.71  (define @t248 () (forall @t247 @t246))
% 0.53/0.71  (define @t249 () (or @t225 @t80 @t248))
% 0.53/0.71  (define @t250 () (forall @t16 @t249))
% 0.53/0.71  (define @t251 () (or @t189 @t110 @t250))
% 0.53/0.71  (define @t252 () (or @t189 @t110 @t249))
% 0.53/0.71  (define @t253 () (or @t225 @t80 @t189 @t110 @t248))
% 0.53/0.71  (define @t254 () (or @t80 @t189 @t110 @t248))
% 0.53/0.71  (define @t255 () (or @t110 @t248))
% 0.53/0.71  (define @t256 () (or @t110 @t246))
% 0.53/0.71  (define @t257 () (or @t110 @t245 @t244 @t243 @t241))
% 0.53/0.71  (define @t258 () (not (= @t1 @t1)))
% 0.53/0.71  (define @t259 () (or @t110 @t258 @t245 @t244 @t243 @t241))
% 0.53/0.71  (define @t260 () (not (= @t10 @t242)))
% 0.53/0.71  (define @t261 () (not @t13))
% 0.53/0.71  (define @t262 () (or @t81 @t261 @t81 @t245 @t244 @t260 @t241))
% 0.53/0.71  (define @t263 () (or @t261 @t81 @t245 @t244 @t260 @t241))
% 0.53/0.71  (define @t264 () (forall @t14 @t263))
% 0.53/0.71  (define @t265 () (forall @t247 @t264))
% 0.53/0.71  (define @t266 () (forall (@list @t238 @t237 @t10) @t263))
% 0.53/0.71  (define @t267 () (@list @t10 @t238 @t237))
% 0.53/0.71  (define @t268 () (or @t245 @t244 @t260 @t241))
% 0.53/0.71  (define @t269 () (or @t261 @t81 @t268))
% 0.53/0.71  (define @t270 () (forall @t267 @t269))
% 0.53/0.71  (define @t271 () (forall @t247 @t269))
% 0.53/0.71  (define @t272 () (forall @t247 @t268))
% 0.53/0.71  (define @t273 () (@var "BOUND_VARIABLE_10937" $$unsorted))
% 0.53/0.71  (define @t274 () (or @t261 @t81 @t272))
% 0.53/0.71  (define @t275 () (not (= @t12 (tptp.app @t273 @t28))))
% 0.53/0.71  (define @t276 () (not (= @t10 (tptp.app @t28 @t273))))
% 0.53/0.71  (define @t277 () (not (tptp.ssList @t273)))
% 0.53/0.71  (define @t278 () (not @t32))
% 0.53/0.71  (define @t279 () (or @t278 @t277 @t276 @t275))
% 0.53/0.71  (define @t280 () (@list @t28 @t273))
% 0.53/0.71  (define @t281 () (forall @t280 @t279))
% 0.53/0.71  (define @t282 () (or @t261 @t81 @t281))
% 0.53/0.71  (define @t283 () (forall @t14 @t282))
% 0.53/0.71  (define @t284 () (or @t80 @t189 @t283))
% 0.53/0.71  (define @t285 () (or @t80 @t189 @t282))
% 0.53/0.71  (define @t286 () (or @t261 @t81 @t80 @t281 @t189))
% 0.53/0.71  (define @t287 () (or @t81 @t80 @t281 @t189))
% 0.53/0.71  (define @t288 () (or @t277 @t276 @t275))
% 0.53/0.71  (define @t289 () (or @t278 @t288))
% 0.53/0.71  (define @t290 () (forall @t280 @t289))
% 0.53/0.71  (define @t291 () (@list @t273))
% 0.53/0.71  (define @t292 () (forall @t291 @t289))
% 0.53/0.71  (define @t293 () (forall @t291 @t288))
% 0.53/0.71  (define @t294 () (or @t278 @t293))
% 0.53/0.71  (define @t295 () (not (= @t12 @t71)))
% 0.53/0.71  (define @t296 () (not (= @t10 @t73)))
% 0.53/0.71  (define @t297 () (not @t30))
% 0.53/0.71  (define @t298 () (or @t297 @t296 @t295))
% 0.53/0.71  (define @t299 () (forall @t31 @t298))
% 0.53/0.71  (define @t300 () (or @t296 @t295))
% 0.53/0.71  (define @t301 () (tptp.app @t128 @t127))
% 0.53/0.71  (define @t302 () (= tptp.nil @t301))
% 0.53/0.71  (define @t303 () (not @t132))
% 0.53/0.71  (define @t304 () (or @t303 @t302))
% 0.53/0.71  (define @t305 () (not @t302))
% 0.53/0.71  (define @t306 () (or @t305 @t132))
% 0.53/0.71  (define @t307 () (and @t306 @t304))
% 0.53/0.71  (define @t308 () (or (not (tptp.ssList @t131)) (not (tptp.ssList @t301)) @t307 @t135 @t137))
% 0.53/0.71  (define @t309 () (@list true))
% 0.53/0.71  (define @t310 () (@list @t308))
% 0.53/0.71  (define @t311 () (@list false false false))
% 0.53/0.71  (define @t312 () (and @t140 (= @t128 tptp.nil)))
% 0.53/0.71  (define @t313 () (= @t302 @t312))
% 0.53/0.71  (define @t314 () (or @t135 @t137 @t313))
% 0.53/0.71  (define @t315 () (and @t140 @t129))
% 0.53/0.71  (define @t316 () (= @t302 @t315))
% 0.53/0.71  (define @t317 () (or @t135 @t137 @t316))
% 0.53/0.71  (define @t318 () (not @t316))
% 0.53/0.71  (define @t319 () (not @t315))
% 0.53/0.71  (define @t320 () (not @t142))
% 0.53/0.71  (define @t321 () (not @t141))
% 0.53/0.71  (define @t322 () (@list false false))
% 0.53/0.71  (define @t323 () (@list @t315))
% 0.53/0.71  (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5)))))
% 0.53/0.71  (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4)))))
% 0.53/0.71  (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)))))))))))
% 0.53/0.71  (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2)))))))
% 0.53/0.71  (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2)))))))))
% 0.53/0.71  (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2)))))))))
% 0.53/0.71  (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2)))))))))))
% 0.53/0.71  (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25)))))))))))))))))
% 0.53/0.71  (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25))))))))))))))))
% 0.53/0.71  (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1)))))))))))))))))
% 0.53/0.71  (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26)))))))))))))))
% 0.53/0.71  (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35)))))))))))))))
% 0.53/0.71  (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36))))))))))))))))
% 0.53/0.71  (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36)))))))))))))
% 0.53/0.71  (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5)))))
% 0.53/0.71  (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37))))))
% 0.53/0.71  (assume @p17 (tptp.ssList tptp.nil))
% 0.53/0.71  (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2)))))))
% 0.53/0.71  (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t38)))))))))))
% 0.53/0.71  (assume @p20 (forall @t9 (=> @t17 (or @t40 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t39 @t2)))))))))
% 0.53/0.71  (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37)))))))
% 0.53/0.71  (assume @p22 (forall @t9 (=> @t17 (=> @t42 (tptp.ssItem @t41)))))
% 0.53/0.71  (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1))))))
% 0.53/0.71  (assume @p24 (forall @t9 (=> @t17 (=> @t42 (tptp.ssList @t43)))))
% 0.53/0.71  (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2))))))
% 0.53/0.71  (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t44))))))
% 0.53/0.71  (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t45) (tptp.app @t39 @t2)))))))))
% 0.53/0.71  (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2))))
% 0.53/0.71  (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t47 @t46) @t3))))))
% 0.53/0.71  (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t26) (tptp.leq @t2 @t12)))))))))
% 0.53/0.71  (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2))))
% 0.53/0.71  (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t48 @t46))))))
% 0.53/0.71  (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t50 (not @t49)))))))
% 0.53/0.71  (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t35) @t51))))))))
% 0.53/0.71  (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t49))))))
% 0.53/0.71  (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t53)))))))))
% 0.53/0.71  (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t53)))))))))
% 0.53/0.71  (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2)))))
% 0.53/0.71  (assume @p39 (not (tptp.singletonP tptp.nil)))
% 0.53/0.71  (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12)))))))))
% 0.53/0.71  (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3))))))
% 0.53/0.71  (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2))))
% 0.53/0.71  (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1)))))))))
% 0.53/0.71  (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))))))))))))
% 0.53/0.71  (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil))))
% 0.53/0.71  (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t40))))
% 0.53/0.71  (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12)))))))))
% 0.53/0.71  (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3))))))
% 0.53/0.71  (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2))))
% 0.53/0.71  (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t54 @t1)))))))))
% 0.53/0.71  (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil))))
% 0.53/0.71  (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t40))))
% 0.53/0.71  (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12)))))))))
% 0.53/0.71  (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3))))))
% 0.53/0.71  (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2))))
% 0.53/0.71  (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t54 @t10) @t1)))))))))))
% 0.53/0.71  (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil))))
% 0.53/0.71  (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t40))))
% 0.53/0.71  (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t55))))
% 0.53/0.71  (assume @p60 (tptp.cyclefreeP tptp.nil))
% 0.53/0.71  (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t55))))
% 0.53/0.71  (assume @p62 (tptp.totalorderP tptp.nil))
% 0.53/0.71  (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t55))))
% 0.53/0.71  (assume @p64 (tptp.strictorderP tptp.nil))
% 0.53/0.71  (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t55))))
% 0.53/0.71  (assume @p66 (tptp.totalorderedP tptp.nil))
% 0.53/0.71  (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t59) (or @t57 (and @t58 (tptp.totalorderedP @t1) (tptp.leq @t2 @t56)))))))))
% 0.53/0.71  (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t55))))
% 0.53/0.71  (assume @p69 (tptp.strictorderedP tptp.nil))
% 0.53/0.71  (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t59) (or @t57 (and @t58 (tptp.strictorderedP @t1) (tptp.lt @t2 @t56)))))))))
% 0.53/0.71  (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t55))))
% 0.53/0.71  (assume @p72 (tptp.duplicatefreeP tptp.nil))
% 0.53/0.71  (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t55))))
% 0.53/0.71  (assume @p74 (tptp.equalelemsP tptp.nil))
% 0.53/0.71  (assume @p75 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t6 (= @t41 @t1)))))))
% 0.53/0.71  (assume @p76 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t21 (= @t43 @t1)))))))
% 0.53/0.71  (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t58 @t42 (= @t56 @t41) (= (tptp.tl @t1) @t43)) @t38))))))
% 0.53/0.71  (assume @p78 (forall @t9 (=> @t17 (=> @t42 (= (tptp.cons @t41 @t43) @t2)))))
% 0.53/0.71  (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t44) @t60))))))))
% 0.53/0.71  (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t45) @t60))))))))
% 0.53/0.71  (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2)))))))
% 0.53/0.71  (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t44 @t12) (tptp.app @t2 @t19)))))))))
% 0.53/0.71  (assume @p83 @t67)
% 0.53/0.71  (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2))))
% 0.53/0.71  (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.hd @t44) @t41)))))))
% 0.53/0.71  (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.tl @t44) (tptp.app @t43 @t1))))))))
% 0.53/0.71  (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 (tptp.geq @t1 @t2)) @t3))))))
% 0.53/0.71  (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12)))))))))
% 0.53/0.71  (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2))))
% 0.53/0.71  (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2)))))
% 0.53/0.71  (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t35) @t51))))))))
% 0.53/0.71  (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t47 (or @t3 @t50)))))))
% 0.53/0.71  (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t50 (and @t4 @t47)))))))
% 0.53/0.71  (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (not (tptp.gt @t1 @t2))))))))
% 0.53/0.71  (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12)))))))))
% 0.53/0.71  (assume @p96 @t91)
% 0.53/0.71  (assume @p97 true)
% 0.53/0.71  (step @p98 :rule refl :args (@t92))
% 0.53/0.71  (step @p99 :rule eq-symm :args (@t93 tptp.nil))
% 0.53/0.71  (step @p100 :rule nary_cong :premises (@p99 @p98) :args (@t94))
% 0.53/0.71  (step @p101 :rule refl :args (@t95))
% 0.53/0.71  (step @p102 :rule cong :premises (@p101 @p100) :args (@t96))
% 0.53/0.71  (step @p103 :rule refl :args (@t97))
% 0.53/0.71  (step @p104 :rule refl :args (@t98))
% 0.53/0.71  (step @p105 :rule nary_cong :premises (@p104 @p103 @p102) :args (@t99))
% 0.53/0.71  (step @p106 :rule aci_norm :args ((= @t101 @t99)))
% 0.53/0.71  (step @p107 :rule trans :premises (@p106 @p105))
% 0.53/0.71  (step @p108 :rule cong :premises (@p107) :args (@t103))
% 0.53/0.71  (step @p109 :rule quant-merge-prenex :args ((= (forall @t9 @t105) @t103)))
% 0.53/0.71  (step @p110 :rule alpha_equiv :args (@t106 (@list @t93) (@list @t1)))
% 0.53/0.71  (step @p111 :rule refl :args (@t98))
% 0.53/0.71  (step @p112 :rule nary_cong :premises (@p111 @p110) :args (@t107))
% 0.53/0.71  (step @p113 :rule quant-miniscope-or :args ((= @t105 @t107)))
% 0.53/0.71  (step @p114 :rule trans :premises (@p113 @p112))
% 0.53/0.71  (step @p115 :rule symm :premises (@p114))
% 0.53/0.71  (step @p116 :rule cong :premises (@p115) :args ((forall @t9 (or @t98 @t111))))
% 0.53/0.71  (step @p117 :rule trans :premises (@p116 @p109))
% 0.53/0.71  (step @p118 :rule trans :premises (@p117 @p108))
% 0.53/0.71  (step @p119 :rule bool-impl-elim :args (@t17 @t111))
% 0.53/0.71  (step @p120 :rule cong :premises (@p119) :args ((forall @t9 (=> @t17 @t111))))
% 0.53/0.71  (step @p121 :rule trans :premises (@p120 @p118))
% 0.53/0.71  (step @p122 :rule bool-impl-elim :args (@t21 @t109))
% 0.53/0.71  (step @p123 :rule cong :premises (@p122) :args ((forall @t7 (=> @t21 @t109))))
% 0.53/0.71  (step @p124 :rule eq-symm :args (tptp.nil @t2))
% 0.53/0.71  (step @p125 :rule eq-symm :args (tptp.nil @t1))
% 0.53/0.71  (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t61))
% 0.53/0.71  (step @p127 :rule refl :args (@t62))
% 0.53/0.71  (step @p128 :rule cong :premises (@p127 @p126) :args (@t63))
% 0.53/0.71  (step @p129 :rule refl :args (@t21))
% 0.53/0.71  (step @p130 :rule cong :premises (@p129 @p128) :args (@t64))
% 0.53/0.71  (step @p131 :rule cong :premises (@p130) :args (@t65))
% 0.53/0.71  (step @p132 :rule trans :premises (@p131 @p123))
% 0.53/0.71  (step @p133 :rule refl :args (@t17))
% 0.53/0.71  (step @p134 :rule cong :premises (@p133 @p132) :args (@t66))
% 0.53/0.71  (step @p135 :rule cong :premises (@p134) :args (@t67))
% 0.53/0.71  (step @p136 :rule trans :premises (@p135 @p121))
% 0.53/0.71  (step @p137 :rule eq_resolve :premises (@p83 @p136))
% 0.53/0.71  (step @p138 :rule eq-symm :args (@t127 tptp.nil))
% 0.53/0.71  (step @p139 :rule refl :args (@t129))
% 0.53/0.71  (step @p140 :rule nary_cong :premises (@p139 @p138) :args (@t130))
% 0.53/0.71  (step @p141 :rule refl :args (@t132))
% 0.53/0.71  (step @p142 :rule cong :premises (@p141 @p140) :args (@t133))
% 0.53/0.71  (step @p143 :rule refl :args (@t135))
% 0.53/0.71  (step @p144 :rule refl :args (@t137))
% 0.53/0.71  (step @p145 :rule nary_cong :premises (@p144 @p143 @p142) :args (@t138))
% 0.53/0.71  (step @p146 :rule refl :args (@t139))
% 0.53/0.71  (step @p147 :rule cong :premises (@p146 @p145) :args ((=> @t139 @t138)))
% 0.53/0.71  (assume-push @p513 @t139)
% 0.53/0.71  (step @p149 :rule instantiate :premises (@p137) :args ((@list @t127 @t128)))
% 0.53/0.71  (step-pop @p514 :rule scope :premises (@p149))
% 0.53/0.71  (step @p150 :rule process_scope :premises (@p514) :args (@t138))
% 0.53/0.71  (step @p152 :rule eq_resolve :premises (@p150 @p147))
% 0.53/0.71  (step @p153 :rule implies_elim :premises (@p152))
% 0.53/0.71  (step @p154 :rule chain_m_resolution :premises (@p153 @p137) :args (@t143 @t144 @t145))
% 0.53/0.71  (step @p155 :rule aci_norm :args ((= (or @t123 @t122 @t121 @t115 @t113 false) @t124)))
% 0.53/0.71  (step @p156 :rule evaluate :args ((not true)))
% 0.53/0.71  (step @p157 :rule eq-refl :args (@t118))
% 0.53/0.71  (step @p158 :rule cong :premises (@p157) :args (@t146))
% 0.53/0.71  (step @p159 :rule trans :premises (@p158 @p156))
% 0.53/0.71  (step @p160 :rule refl :args (@t113))
% 0.53/0.71  (step @p161 :rule refl :args (@t115))
% 0.53/0.71  (step @p162 :rule refl :args (@t117))
% 0.53/0.71  (step @p163 :rule eq-symm :args (@t118 tptp.nil))
% 0.53/0.71  (step @p164 :rule cong :premises (@p163) :args (@t148))
% 0.53/0.71  (step @p165 :rule nary_cong :premises (@p164 @p162) :args (@t149))
% 0.53/0.71  (step @p166 :rule refl :args (@t120))
% 0.53/0.71  (step @p167 :rule nary_cong :premises (@p166 @p163) :args (@t150))
% 0.53/0.71  (step @p168 :rule nary_cong :premises (@p167 @p165) :args (@t151))
% 0.53/0.71  (step @p169 :rule refl :args (@t122))
% 0.53/0.71  (step @p170 :rule refl :args (@t123))
% 0.53/0.71  (step @p171 :rule nary_cong :premises (@p170 @p169 @p168 @p161 @p160 @p159) :args (@t152))
% 0.53/0.71  (step @p172 :rule trans :premises (@p171 @p155))
% 0.53/0.71  (step @p173 :rule cong :premises (@p172) :args ((forall @t125 @t152)))
% 0.53/0.71  (step @p174 :rule quant-var-elim-eq :args ((= (forall @t9 @t156) @t152)))
% 0.53/0.71  (step @p175 :rule aci_norm :args ((= @t157 @t156)))
% 0.53/0.71  (step @p176 :rule cong :premises (@p175) :args (@t158))
% 0.53/0.71  (step @p177 :rule trans :premises (@p176 @p174))
% 0.53/0.71  (step @p178 :rule cong :premises (@p177) :args (@t159))
% 0.53/0.71  (step @p179 :rule quant-merge-prenex :args ((= @t159 @t160)))
% 0.53/0.71  (step @p180 :rule symm :premises (@p179))
% 0.53/0.71  (step @p181 :rule quant_var_reordering :args ((= (forall @t161 @t157) @t160)))
% 0.53/0.71  (step @p182 :rule trans :premises (@p181 @p180 @p178))
% 0.53/0.71  (step @p183 :rule trans :premises (@p182 @p173))
% 0.53/0.71  (step @p184 :rule aci_norm :args ((= @t163 @t157)))
% 0.53/0.71  (step @p185 :rule cong :premises (@p184) :args (@t164))
% 0.53/0.71  (step @p186 :rule trans :premises (@p185 @p183))
% 0.53/0.71  (step @p187 :rule quant-merge-prenex :args ((= (forall @t9 @t165) @t164)))
% 0.53/0.71  (step @p188 :rule alpha_equiv :args (@t166 (@list @t114 @t112) @t169))
% 0.53/0.71  (step @p189 :rule nary_cong :premises (@p111 @p188) :args (@t170))
% 0.53/0.71  (step @p190 :rule quant-miniscope-or :args ((= @t165 @t170)))
% 0.53/0.71  (step @p191 :rule trans :premises (@p190 @p189))
% 0.53/0.71  (step @p192 :rule symm :premises (@p191))
% 0.53/0.71  (step @p193 :rule cong :premises (@p192) :args ((forall @t9 @t180)))
% 0.53/0.71  (step @p194 :rule trans :premises (@p193 @p187))
% 0.53/0.71  (step @p195 :rule trans :premises (@p194 @p186))
% 0.53/0.71  (step @p196 :rule aci_norm :args ((= (or @t98 @t180) @t180)))
% 0.53/0.71  (step @p197 :rule bool-impl-elim :args (@t17 @t180))
% 0.53/0.71  (step @p198 :rule trans :premises (@p197 @p196))
% 0.53/0.71  (step @p199 :rule cong :premises (@p198) :args ((forall @t9 (=> @t17 @t180))))
% 0.53/0.71  (step @p200 :rule trans :premises (@p199 @p195))
% 0.53/0.71  (step @p201 :rule aci_norm :args ((= (or @t177 @t176 @t173 @t172 false @t171) @t178)))
% 0.53/0.71  (step @p202 :rule refl :args (@t171))
% 0.53/0.71  (step @p203 :rule eq-refl :args (@t174))
% 0.53/0.71  (step @p204 :rule cong :premises (@p203) :args (@t181))
% 0.53/0.71  (step @p205 :rule trans :premises (@p204 @p156))
% 0.53/0.71  (step @p206 :rule refl :args (@t172))
% 0.53/0.71  (step @p207 :rule refl :args (@t173))
% 0.53/0.71  (step @p208 :rule eq-symm :args (@t174 tptp.nil))
% 0.53/0.71  (step @p209 :rule refl :args (@t154))
% 0.53/0.71  (step @p210 :rule nary_cong :premises (@p209 @p208) :args (@t183))
% 0.53/0.71  (step @p211 :rule cong :premises (@p208) :args (@t184))
% 0.53/0.71  (step @p212 :rule nary_cong :premises (@p211 @p98) :args (@t185))
% 0.53/0.71  (step @p213 :rule nary_cong :premises (@p212 @p210) :args (@t186))
% 0.53/0.71  (step @p214 :rule refl :args (@t177))
% 0.53/0.71  (step @p215 :rule nary_cong :premises (@p214 @p213 @p207 @p206 @p205 @p202) :args (@t187))
% 0.53/0.71  (step @p216 :rule trans :premises (@p215 @p201))
% 0.53/0.71  (step @p217 :rule cong :premises (@p216) :args ((forall @t179 @t187)))
% 0.53/0.71  (step @p218 :rule quant-var-elim-eq :args ((= (forall @t7 @t190) @t187)))
% 0.53/0.71  (step @p219 :rule aci_norm :args ((= @t191 @t190)))
% 0.53/0.71  (step @p220 :rule cong :premises (@p219) :args (@t192))
% 0.53/0.71  (step @p221 :rule trans :premises (@p220 @p218))
% 0.53/0.71  (step @p222 :rule cong :premises (@p221) :args (@t193))
% 0.53/0.71  (step @p223 :rule quant-merge-prenex :args ((= @t193 @t194)))
% 0.53/0.71  (step @p224 :rule symm :premises (@p223))
% 0.53/0.71  (step @p225 :rule quant_var_reordering :args ((= (forall @t195 @t191) @t194)))
% 0.53/0.71  (step @p226 :rule trans :premises (@p225 @p224 @p222))
% 0.53/0.71  (step @p227 :rule trans :premises (@p226 @p217))
% 0.53/0.71  (step @p228 :rule aci_norm :args ((= @t197 @t191)))
% 0.53/0.71  (step @p229 :rule cong :premises (@p228) :args (@t198))
% 0.53/0.71  (step @p230 :rule trans :premises (@p229 @p227))
% 0.53/0.71  (step @p231 :rule quant-merge-prenex :args ((= (forall @t7 @t199) @t198)))
% 0.53/0.71  (step @p232 :rule alpha_equiv :args (@t200 @t169 @t203))
% 0.53/0.71  (step @p233 :rule refl :args (@t189))
% 0.53/0.71  (step @p234 :rule refl :args (@t110))
% 0.53/0.71  (step @p235 :rule nary_cong :premises (@p234 @p233 @p232) :args (@t204))
% 0.53/0.71  (step @p236 :rule quant-miniscope-or :args ((= @t199 @t204)))
% 0.53/0.71  (step @p237 :rule trans :premises (@p236 @p235))
% 0.53/0.71  (step @p238 :rule symm :premises (@p237))
% 0.53/0.71  (step @p239 :rule cong :premises (@p238) :args (@t214))
% 0.53/0.71  (step @p240 :rule trans :premises (@p239 @p231))
% 0.53/0.71  (step @p241 :rule trans :premises (@p240 @p230))
% 0.53/0.71  (step @p242 :rule nary_cong :premises (@p104 @p241) :args (@t215))
% 0.53/0.71  (step @p243 :rule quant-miniscope-or :args ((= (forall @t7 @t216) @t215)))
% 0.53/0.71  (step @p244 :rule aci_norm :args ((= @t217 @t216)))
% 0.53/0.71  (step @p245 :rule cong :premises (@p244) :args ((forall @t7 @t217)))
% 0.53/0.71  (step @p246 :rule trans :premises (@p245 @p243))
% 0.53/0.71  (step @p247 :rule trans :premises (@p246 @p242))
% 0.53/0.71  (step @p248 :rule aci_norm :args ((= (or @t110 @t218) @t217)))
% 0.53/0.71  (step @p249 :rule bool-impl-elim :args (@t21 @t218))
% 0.53/0.71  (step @p250 :rule trans :premises (@p249 @p248))
% 0.53/0.71  (step @p251 :rule cong :premises (@p250) :args ((forall @t7 (=> @t21 @t218))))
% 0.53/0.71  (step @p252 :rule trans :premises (@p251 @p247))
% 0.53/0.71  (step @p253 :rule aci_norm :args ((= (or @t189 @t110 @t219) @t218)))
% 0.53/0.71  (step @p254 :rule quant-miniscope-or :args ((= (forall @t211 @t220) @t219)))
% 0.53/0.71  (step @p255 :rule aci_norm :args ((= @t221 @t220)))
% 0.53/0.71  (step @p256 :rule cong :premises (@p255) :args ((forall @t211 @t221)))
% 0.53/0.71  (step @p257 :rule trans :premises (@p256 @p254))
% 0.53/0.71  (step @p258 :rule aci_norm :args ((= (or @t98 false @t209 @t208 @t207 @t206) @t221)))
% 0.53/0.71  (step @p259 :rule refl :args (@t206))
% 0.53/0.71  (step @p260 :rule refl :args (@t207))
% 0.53/0.71  (step @p261 :rule refl :args (@t208))
% 0.53/0.71  (step @p262 :rule refl :args (@t209))
% 0.53/0.71  (step @p263 :rule eq-refl :args (@t2))
% 0.53/0.71  (step @p264 :rule cong :premises (@p263) :args (@t222))
% 0.53/0.71  (step @p265 :rule trans :premises (@p264 @p156))
% 0.53/0.71  (step @p266 :rule nary_cong :premises (@p104 @p265 @p262 @p261 @p260 @p259) :args (@t223))
% 0.53/0.71  (step @p267 :rule trans :premises (@p266 @p258))
% 0.53/0.71  (step @p268 :rule cong :premises (@p267) :args ((forall @t211 @t223)))
% 0.53/0.71  (step @p269 :rule trans :premises (@p268 @p257))
% 0.53/0.71  (step @p270 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t60) @t225 @t80 @t209 @t208 @t207 @t224)) @t223)))
% 0.53/0.71  (step @p271 :rule refl :args (@t224))
% 0.53/0.71  (step @p272 :rule refl :args (@t207))
% 0.53/0.71  (step @p273 :rule refl :args (@t208))
% 0.53/0.71  (step @p274 :rule refl :args (@t209))
% 0.53/0.71  (step @p275 :rule refl :args (@t80))
% 0.53/0.71  (step @p276 :rule refl :args (@t225))
% 0.53/0.71  (step @p277 :rule eq-symm :args (@t2 @t12))
% 0.53/0.71  (step @p278 :rule cong :premises (@p277) :args (@t80))
% 0.53/0.71  (step @p279 :rule nary_cong :premises (@p278 @p276 @p275 @p274 @p273 @p272 @p271) :args (@t226))
% 0.53/0.71  (step @p280 :rule aci_norm :args ((= @t227 @t226)))
% 0.53/0.71  (step @p281 :rule trans :premises (@p280 @p279))
% 0.53/0.71  (step @p282 :rule cong :premises (@p281) :args (@t228))
% 0.53/0.71  (step @p283 :rule trans :premises (@p282 @p270))
% 0.53/0.71  (step @p284 :rule cong :premises (@p283) :args (@t229))
% 0.53/0.71  (step @p285 :rule quant-merge-prenex :args ((= @t229 @t230)))
% 0.53/0.71  (step @p286 :rule symm :premises (@p285))
% 0.53/0.71  (step @p287 :rule quant_var_reordering :args ((= (forall @t231 @t227) @t230)))
% 0.53/0.71  (step @p288 :rule trans :premises (@p287 @p286 @p284))
% 0.53/0.71  (step @p289 :rule trans :premises (@p288 @p269))
% 0.53/0.71  (step @p290 :rule aci_norm :args ((= @t233 @t227)))
% 0.53/0.71  (step @p291 :rule cong :premises (@p290) :args (@t234))
% 0.53/0.71  (step @p292 :rule trans :premises (@p291 @p289))
% 0.53/0.71  (step @p293 :rule quant-merge-prenex :args ((= (forall @t16 @t235) @t234)))
% 0.53/0.71  (step @p294 :rule alpha_equiv :args (@t236 @t203 @t239))
% 0.53/0.71  (step @p295 :rule nary_cong :premises (@p276 @p275 @p294) :args (@t240))
% 0.53/0.71  (step @p296 :rule quant-miniscope-or :args ((= @t235 @t240)))
% 0.53/0.71  (step @p297 :rule trans :premises (@p296 @p295))
% 0.53/0.71  (step @p298 :rule symm :premises (@p297))
% 0.53/0.71  (step @p299 :rule cong :premises (@p298) :args (@t250))
% 0.53/0.71  (step @p300 :rule trans :premises (@p299 @p293))
% 0.53/0.71  (step @p301 :rule trans :premises (@p300 @p292))
% 0.53/0.71  (step @p302 :rule refl :args (@t110))
% 0.53/0.71  (step @p303 :rule refl :args (@t189))
% 0.53/0.71  (step @p304 :rule nary_cong :premises (@p303 @p302 @p301) :args (@t251))
% 0.53/0.71  (step @p305 :rule trans :premises (@p304 @p253))
% 0.53/0.71  (step @p306 :rule quant-miniscope-or :args ((= (forall @t16 @t252) @t251)))
% 0.53/0.71  (step @p307 :rule aci_norm :args ((= @t253 @t252)))
% 0.53/0.71  (step @p308 :rule cong :premises (@p307) :args ((forall @t16 @t253)))
% 0.53/0.71  (step @p309 :rule trans :premises (@p308 @p306))
% 0.53/0.71  (step @p310 :rule trans :premises (@p309 @p305))
% 0.53/0.71  (step @p311 :rule aci_norm :args ((= (or @t225 @t254) @t253)))
% 0.53/0.71  (step @p312 :rule bool-impl-elim :args (@t15 @t254))
% 0.53/0.71  (step @p313 :rule trans :premises (@p312 @p311))
% 0.53/0.71  (step @p314 :rule cong :premises (@p313) :args ((forall @t16 (=> @t15 @t254))))
% 0.53/0.71  (step @p315 :rule trans :premises (@p314 @p310))
% 0.53/0.71  (step @p316 :rule aci_norm :args ((= (or @t80 @t189 @t255) @t254)))
% 0.53/0.71  (step @p317 :rule quant-miniscope-or :args ((= (forall @t247 @t256) @t255)))
% 0.53/0.71  (step @p318 :rule aci_norm :args ((= @t257 @t256)))
% 0.53/0.71  (step @p319 :rule cong :premises (@p318) :args ((forall @t247 @t257)))
% 0.53/0.71  (step @p320 :rule trans :premises (@p319 @p317))
% 0.53/0.71  (step @p321 :rule aci_norm :args ((= (or @t110 false @t245 @t244 @t243 @t241) @t257)))
% 0.53/0.71  (step @p322 :rule refl :args (@t241))
% 0.53/0.71  (step @p323 :rule refl :args (@t243))
% 0.53/0.71  (step @p324 :rule refl :args (@t244))
% 0.53/0.71  (step @p325 :rule refl :args (@t245))
% 0.53/0.71  (step @p326 :rule eq-refl :args (@t1))
% 0.53/0.71  (step @p327 :rule cong :premises (@p326) :args (@t258))
% 0.53/0.71  (step @p328 :rule trans :premises (@p327 @p156))
% 0.53/0.71  (step @p329 :rule nary_cong :premises (@p302 @p328 @p325 @p324 @p323 @p322) :args (@t259))
% 0.53/0.71  (step @p330 :rule trans :premises (@p329 @p321))
% 0.53/0.71  (step @p331 :rule cong :premises (@p330) :args ((forall @t247 @t259)))
% 0.53/0.71  (step @p332 :rule trans :premises (@p331 @p320))
% 0.53/0.71  (step @p333 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t261 @t81 @t245 @t244 @t260 @t241)) @t259)))
% 0.53/0.71  (step @p334 :rule refl :args (@t241))
% 0.53/0.71  (step @p335 :rule refl :args (@t260))
% 0.53/0.71  (step @p336 :rule refl :args (@t244))
% 0.53/0.71  (step @p337 :rule refl :args (@t245))
% 0.53/0.71  (step @p338 :rule refl :args (@t81))
% 0.53/0.71  (step @p339 :rule refl :args (@t261))
% 0.53/0.71  (step @p340 :rule eq-symm :args (@t1 @t10))
% 0.53/0.71  (step @p341 :rule cong :premises (@p340) :args (@t81))
% 0.53/0.71  (step @p342 :rule nary_cong :premises (@p341 @p339 @p338 @p337 @p336 @p335 @p334) :args (@t262))
% 0.53/0.71  (step @p343 :rule aci_norm :args ((= @t263 @t262)))
% 0.53/0.71  (step @p344 :rule trans :premises (@p343 @p342))
% 0.53/0.71  (step @p345 :rule cong :premises (@p344) :args (@t264))
% 0.53/0.71  (step @p346 :rule trans :premises (@p345 @p333))
% 0.53/0.71  (step @p347 :rule cong :premises (@p346) :args (@t265))
% 0.53/0.71  (step @p348 :rule quant-merge-prenex :args ((= @t265 @t266)))
% 0.53/0.71  (step @p349 :rule symm :premises (@p348))
% 0.53/0.71  (step @p350 :rule quant_var_reordering :args ((= (forall @t267 @t263) @t266)))
% 0.53/0.71  (step @p351 :rule trans :premises (@p350 @p349 @p347))
% 0.53/0.71  (step @p352 :rule trans :premises (@p351 @p332))
% 0.53/0.71  (step @p353 :rule aci_norm :args ((= @t269 @t263)))
% 0.53/0.71  (step @p354 :rule cong :premises (@p353) :args (@t270))
% 0.53/0.71  (step @p355 :rule trans :premises (@p354 @p352))
% 0.53/0.71  (step @p356 :rule quant-merge-prenex :args ((= (forall @t14 @t271) @t270)))
% 0.53/0.71  (step @p357 :rule alpha_equiv :args (@t272 @t239 (@list @t28 @t273)))
% 0.53/0.71  (step @p358 :rule nary_cong :premises (@p339 @p338 @p357) :args (@t274))
% 0.53/0.71  (step @p359 :rule quant-miniscope-or :args ((= @t271 @t274)))
% 0.53/0.71  (step @p360 :rule trans :premises (@p359 @p358))
% 0.53/0.71  (step @p361 :rule symm :premises (@p360))
% 0.53/0.71  (step @p362 :rule cong :premises (@p361) :args (@t283))
% 0.53/0.71  (step @p363 :rule trans :premises (@p362 @p356))
% 0.53/0.71  (step @p364 :rule trans :premises (@p363 @p355))
% 0.53/0.71  (step @p365 :rule refl :args (@t80))
% 0.53/0.71  (step @p366 :rule nary_cong :premises (@p365 @p303 @p364) :args (@t284))
% 0.53/0.71  (step @p367 :rule trans :premises (@p366 @p316))
% 0.53/0.71  (step @p368 :rule quant-miniscope-or :args ((= (forall @t14 @t285) @t284)))
% 0.53/0.71  (step @p369 :rule aci_norm :args ((= @t286 @t285)))
% 0.53/0.71  (step @p370 :rule cong :premises (@p369) :args ((forall @t14 @t286)))
% 0.53/0.71  (step @p371 :rule trans :premises (@p370 @p368))
% 0.53/0.71  (step @p372 :rule trans :premises (@p371 @p367))
% 0.53/0.71  (step @p373 :rule aci_norm :args ((= (or @t261 @t287) @t286)))
% 0.53/0.71  (step @p374 :rule bool-impl-elim :args (@t13 @t287))
% 0.53/0.71  (step @p375 :rule trans :premises (@p374 @p373))
% 0.53/0.71  (step @p376 :rule cong :premises (@p375) :args ((forall @t14 (=> @t13 @t287))))
% 0.53/0.71  (step @p377 :rule trans :premises (@p376 @p372))
% 0.53/0.71  (step @p378 :rule cong :premises (@p124) :args (@t42))
% 0.53/0.71  (step @p379 :rule nary_cong :premises (@p378 @p125) :args (@t68))
% 0.53/0.71  (step @p380 :rule cong :premises (@p125) :args (@t58))
% 0.53/0.71  (step @p381 :rule nary_cong :premises (@p380 @p124) :args (@t69))
% 0.53/0.71  (step @p382 :rule nary_cong :premises (@p381 @p379) :args (@t70))
% 0.53/0.71  (step @p383 :rule aci_norm :args ((= @t289 @t279)))
% 0.53/0.71  (step @p384 :rule cong :premises (@p383) :args (@t290))
% 0.53/0.71  (step @p385 :rule quant-merge-prenex :args ((= (forall @t33 @t292) @t290)))
% 0.53/0.71  (step @p386 :rule alpha_equiv :args (@t293 (@list @t273) (@list @t27)))
% 0.53/0.71  (step @p387 :rule refl :args (@t278))
% 0.53/0.71  (step @p388 :rule nary_cong :premises (@p387 @p386) :args (@t294))
% 0.53/0.71  (step @p389 :rule quant-miniscope-or :args ((= @t292 @t294)))
% 0.53/0.71  (step @p390 :rule trans :premises (@p389 @p388))
% 0.53/0.71  (step @p391 :rule symm :premises (@p390))
% 0.53/0.71  (step @p392 :rule cong :premises (@p391) :args ((forall @t33 (or @t278 @t299))))
% 0.53/0.71  (step @p393 :rule trans :premises (@p392 @p385))
% 0.53/0.71  (step @p394 :rule trans :premises (@p393 @p384))
% 0.53/0.71  (step @p395 :rule bool-impl-elim :args (@t32 @t299))
% 0.53/0.71  (step @p396 :rule cong :premises (@p395) :args ((forall @t33 (=> @t32 @t299))))
% 0.53/0.71  (step @p397 :rule trans :premises (@p396 @p394))
% 0.53/0.71  (step @p398 :rule aci_norm :args ((= (or @t297 @t300) @t298)))
% 0.53/0.71  (step @p399 :rule bool-impl-elim :args (@t30 @t300))
% 0.53/0.71  (step @p400 :rule trans :premises (@p399 @p398))
% 0.53/0.71  (step @p401 :rule cong :premises (@p400) :args ((forall @t31 (=> @t30 @t300))))
% 0.53/0.71  (step @p402 :rule eq-symm :args (@t71 @t12))
% 0.53/0.71  (step @p403 :rule cong :premises (@p402) :args (@t72))
% 0.53/0.71  (step @p404 :rule eq-symm :args (@t73 @t10))
% 0.53/0.71  (step @p405 :rule cong :premises (@p404) :args (@t74))
% 0.53/0.71  (step @p406 :rule nary_cong :premises (@p405 @p403) :args (@t75))
% 0.53/0.71  (step @p407 :rule refl :args (@t30))
% 0.53/0.71  (step @p408 :rule cong :premises (@p407 @p406) :args (@t76))
% 0.53/0.71  (step @p409 :rule cong :premises (@p408) :args (@t77))
% 0.53/0.71  (step @p410 :rule trans :premises (@p409 @p401))
% 0.53/0.71  (step @p411 :rule refl :args (@t32))
% 0.53/0.71  (step @p412 :rule cong :premises (@p411 @p410) :args (@t78))
% 0.53/0.71  (step @p413 :rule cong :premises (@p412) :args (@t79))
% 0.53/0.71  (step @p414 :rule trans :premises (@p413 @p397))
% 0.53/0.71  (step @p415 :rule refl :args (@t81))
% 0.53/0.71  (step @p416 :rule nary_cong :premises (@p415 @p365 @p414 @p382) :args (@t82))
% 0.53/0.71  (step @p417 :rule refl :args (@t13))
% 0.53/0.71  (step @p418 :rule cong :premises (@p417 @p416) :args (@t83))
% 0.53/0.71  (step @p419 :rule cong :premises (@p418) :args (@t84))
% 0.53/0.71  (step @p420 :rule trans :premises (@p419 @p377))
% 0.53/0.71  (step @p421 :rule refl :args (@t15))
% 0.53/0.71  (step @p422 :rule cong :premises (@p421 @p420) :args (@t85))
% 0.53/0.71  (step @p423 :rule cong :premises (@p422) :args (@t86))
% 0.53/0.71  (step @p424 :rule trans :premises (@p423 @p315))
% 0.53/0.71  (step @p425 :rule cong :premises (@p129 @p424) :args (@t87))
% 0.53/0.71  (step @p426 :rule cong :premises (@p425) :args (@t88))
% 0.53/0.71  (step @p427 :rule trans :premises (@p426 @p252))
% 0.53/0.71  (step @p428 :rule cong :premises (@p133 @p427) :args (@t89))
% 0.53/0.71  (step @p429 :rule cong :premises (@p428) :args (@t90))
% 0.53/0.71  (step @p430 :rule trans :premises (@p429 @p200))
% 0.53/0.71  (step @p431 :rule cong :premises (@p430) :args (@t91))
% 0.53/0.71  (step @p432 :rule eq_resolve :premises (@p96 @p431))
% 0.53/0.71  (step @p433 :rule skolemize :premises (@p432))
% 0.53/0.71  (step @p434 :rule bool-double-not-elim :args (@t136))
% 0.53/0.71  (step @p435 :rule refl :args (@t308))
% 0.53/0.71  (step @p436 :rule nary_cong :premises (@p435 @p434) :args ((or @t308 (not @t137))))
% 0.53/0.71  (step @p437 :rule cnf_or_neg :args (@t308 4))
% 0.53/0.71  (step @p438 :rule eq_resolve :premises (@p437 @p436))
% 0.53/0.71  (step @p439 :rule reordering :premises (@p438) :args ((or @t136 @t308)))
% 0.53/0.71  (step @p440 :rule chain_m_resolution :premises (@p439 @p433) :args (@t136 @t309 @t310))
% 0.53/0.71  (step @p441 :rule bool-double-not-elim :args (@t134))
% 0.53/0.71  (step @p442 :rule nary_cong :premises (@p435 @p441) :args ((or @t308 (not @t135))))
% 0.53/0.71  (step @p443 :rule cnf_or_neg :args (@t308 3))
% 0.53/0.71  (step @p444 :rule eq_resolve :premises (@p443 @p442))
% 0.53/0.71  (step @p445 :rule reordering :premises (@p444) :args ((or @t134 @t308)))
% 0.53/0.71  (step @p446 :rule chain_m_resolution :premises (@p445 @p433) :args (@t134 @t309 @t310))
% 0.53/0.71  (step @p447 :rule cnf_or_pos :args (@t143))
% 0.53/0.71  (step @p448 :rule reordering :premises (@p447) :args ((or @t135 @t137 @t142 (not @t143))))
% 0.53/0.71  (step @p449 :rule chain_m_resolution :premises (@p448 @p446 @p440 @p154) :args (@t142 @t311 (@list @t134 @t136 @t143)))
% 0.53/0.71  (step @p450 :rule bool-double-not-elim :args (@t302))
% 0.53/0.71  (step @p451 :rule refl :args (@t306))
% 0.53/0.71  (step @p452 :rule nary_cong :premises (@p451 @p450) :args ((or @t306 (not @t305))))
% 0.53/0.71  (step @p453 :rule cnf_or_neg :args (@t306 0))
% 0.53/0.71  (step @p454 :rule eq_resolve :premises (@p453 @p452))
% 0.53/0.71  (step @p455 :rule reordering :premises (@p454) :args ((or @t302 @t306)))
% 0.53/0.71  (step @p456 :rule eq-symm :args (@t128 tptp.nil))
% 0.53/0.71  (step @p457 :rule refl :args (@t140))
% 0.53/0.71  (step @p458 :rule nary_cong :premises (@p457 @p456) :args (@t312))
% 0.53/0.71  (step @p459 :rule refl :args (@t302))
% 0.53/0.71  (step @p460 :rule cong :premises (@p459 @p458) :args (@t313))
% 0.53/0.71  (step @p461 :rule nary_cong :premises (@p143 @p144 @p460) :args (@t314))
% 0.53/0.71  (step @p462 :rule cong :premises (@p146 @p461) :args ((=> @t139 @t314)))
% 0.53/0.71  (assume-push @p515 @t139)
% 0.53/0.71  (step @p464 :rule instantiate :premises (@p137) :args ((@list @t128 @t127)))
% 0.53/0.71  (step-pop @p516 :rule scope :premises (@p464))
% 0.53/0.71  (step @p465 :rule process_scope :premises (@p516) :args (@t314))
% 0.53/0.71  (step @p467 :rule eq_resolve :premises (@p465 @p462))
% 0.53/0.71  (step @p468 :rule implies_elim :premises (@p467))
% 0.53/0.71  (step @p469 :rule chain_m_resolution :premises (@p468 @p137) :args (@t317 @t144 @t145))
% 0.53/0.71  (step @p470 :rule cnf_or_pos :args (@t317))
% 0.53/0.71  (step @p471 :rule reordering :premises (@p470) :args ((or @t135 @t137 @t316 (not @t317))))
% 0.53/0.71  (step @p472 :rule chain_m_resolution :premises (@p471 @p446 @p440 @p469) :args (@t316 @t311 (@list @t134 @t136 @t317)))
% 0.53/0.71  (step @p473 :rule cnf_equiv_pos2 :args (@t316))
% 0.53/0.71  (step @p474 :rule reordering :premises (@p473) :args ((or @t302 @t319 @t318)))
% 0.53/0.71  (step @p475 :rule cnf_or_neg :args (@t308 2))
% 0.53/0.71  (step @p476 :rule chain_m_resolution :premises (@p475 @p433) :args ((not @t307) @t309 @t310))
% 0.53/0.71  (step @p477 :rule cnf_and_neg :args (@t307))
% 0.53/0.71  (step @p478 :rule bool-double-not-elim :args (@t132))
% 0.53/0.71  (step @p479 :rule refl :args (@t304))
% 0.53/0.71  (step @p480 :rule nary_cong :premises (@p479 @p478) :args ((or @t304 (not @t303))))
% 0.53/0.71  (step @p481 :rule cnf_or_neg :args (@t304 0))
% 0.53/0.71  (step @p482 :rule eq_resolve :premises (@p481 @p480))
% 0.53/0.71  (step @p483 :rule reordering :premises (@p482) :args ((or @t132 @t304)))
% 0.53/0.71  (step @p484 :rule cnf_equiv_pos1 :args (@t142))
% 0.53/0.71  (step @p485 :rule reordering :premises (@p484) :args ((or @t303 @t141 @t320)))
% 0.53/0.71  (step @p486 :rule cnf_and_pos :args (@t141 0))
% 0.53/0.71  (step @p487 :rule reordering :premises (@p486) :args ((or @t129 @t321)))
% 0.53/0.71  (step @p488 :rule cnf_and_pos :args (@t141 1))
% 0.53/0.71  (step @p489 :rule reordering :premises (@p488) :args ((or @t140 @t321)))
% 0.53/0.71  (step @p490 :rule cnf_and_neg :args (@t315))
% 0.53/0.71  (step @p491 :rule reordering :premises (@p490) :args ((or @t315 (not @t129) (not @t140))))
% 0.53/0.71  (step @p492 :rule chain_m_resolution :premises (@p491 @p489 @p487 @p485 @p449 @p483 @p477 @p476 @p474 @p472 @p455) :args (@t302 (@list false false false false false true true true false false) (@list @t140 @t129 @t141 @t142 @t132 @t304 @t307 @t315 @t316 @t306)))
% 0.53/0.71  (step @p493 :rule cnf_or_neg :args (@t304 1))
% 0.53/0.71  (step @p494 :rule reordering :premises (@p493) :args ((or @t305 @t304)))
% 0.53/0.71  (step @p495 :rule chain_m_resolution :premises (@p494 @p492) :args (@t304 @t144 (@list @t302)))
% 0.53/0.71  (step @p496 :rule chain_m_resolution :premises (@p477 @p476 @p495) :args ((not @t306) (@list true false) (@list @t307 @t304)))
% 0.53/0.71  (step @p497 :rule cnf_or_neg :args (@t306 1))
% 0.53/0.71  (step @p498 :rule chain_m_resolution :premises (@p497 @p496) :args (@t303 @t309 (@list @t306)))
% 0.53/0.71  (step @p499 :rule cnf_equiv_pos1 :args (@t316))
% 0.53/0.71  (step @p500 :rule reordering :premises (@p499) :args ((or @t305 @t315 @t318)))
% 0.53/0.71  (step @p501 :rule chain_m_resolution :premises (@p500 @p492 @p472) :args (@t315 @t322 (@list @t302 @t316)))
% 0.53/0.71  (step @p502 :rule cnf_and_pos :args (@t315 0))
% 0.53/0.71  (step @p503 :rule reordering :premises (@p502) :args ((or @t140 @t319)))
% 0.53/0.71  (step @p504 :rule chain_m_resolution :premises (@p503 @p501) :args (@t140 @t144 @t323))
% 0.53/0.71  (step @p505 :rule cnf_and_pos :args (@t315 1))
% 0.53/0.71  (step @p506 :rule reordering :premises (@p505) :args ((or @t129 @t319)))
% 0.53/0.71  (step @p507 :rule chain_m_resolution :premises (@p506 @p501) :args (@t129 @t144 @t323))
% 0.53/0.71  (step @p508 :rule cnf_and_neg :args (@t141))
% 0.53/0.71  (step @p509 :rule chain_m_resolution :premises (@p508 @p507 @p504) :args (@t141 @t322 (@list @t129 @t140)))
% 0.53/0.71  (step @p510 :rule cnf_equiv_pos2 :args (@t142))
% 0.53/0.71  (step @p511 :rule reordering :premises (@p510) :args ((or @t132 @t321 @t320)))
% 0.53/0.71  (step @p512 false :rule chain_m_resolution :premises (@p511 @p509 @p498 @p449) :args (false (@list false true false) (@list @t141 @t132 @t142)))
% 0.53/0.71  )
% 0.53/0.71  % SZS output end Proof
% 0.53/0.71  % cvc5 exiting
%------------------------------------------------------------------------------