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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWC085+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:57:59 AM UTC 2026

% Result   : Theorem 34.30s 34.62s
% Output   : Proof 34.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC085+1 : TPTP v9.2.1. Released v2.4.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.33  % Computer : n014.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 19:13:58 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.29/0.50  %----Proving TF0_NAR, FOF, or CNF
% 34.30/34.62  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 34.30/34.62  --- Run --no-e-matching --full-saturate-quant at 6...
% 34.30/34.62  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 34.30/34.62  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 34.30/34.62  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 34.30/34.62  % SZS status Theorem
% 34.30/34.62  % SZS output start Proof
% 34.30/34.62  (
% 34.30/34.62  (declare-sort $$unsorted 0)
% 34.30/34.62  (declare-const tptp.tl (-> $$unsorted $$unsorted))
% 34.30/34.62  (declare-const tptp.hd (-> $$unsorted $$unsorted))
% 34.30/34.62  (declare-const tptp.duplicatefreeP (-> $$unsorted Bool))
% 34.30/34.62  (declare-const tptp.strictorderedP (-> $$unsorted Bool))
% 34.30/34.62  (declare-const tptp.geq (-> $$unsorted $$unsorted Bool))
% 34.30/34.62  (declare-const tptp.strictorderP (-> $$unsorted Bool))
% 34.30/34.62  (declare-const tptp.equalelemsP (-> $$unsorted Bool))
% 34.30/34.62  (declare-const tptp.totalorderP (-> $$unsorted Bool))
% 34.30/34.62  (declare-const tptp.neq (-> $$unsorted $$unsorted Bool))
% 34.30/34.62  (declare-const tptp.totalorderedP (-> $$unsorted Bool))
% 34.30/34.62  (declare-const tptp.singletonP (-> $$unsorted Bool))
% 34.30/34.62  (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted))
% 34.30/34.62  (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted))
% 34.30/34.62  (declare-const tptp.nil $$unsorted)
% 34.30/34.62  (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool))
% 34.30/34.62  (declare-const tptp.lt (-> $$unsorted $$unsorted Bool))
% 34.30/34.62  (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool))
% 34.30/34.62  (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool))
% 34.30/34.62  (declare-const tptp.gt (-> $$unsorted $$unsorted Bool))
% 34.30/34.62  (declare-const tptp.ssList (-> $$unsorted Bool))
% 34.30/34.62  (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool))
% 34.30/34.62  (declare-const tptp.cyclefreeP (-> $$unsorted Bool))
% 34.30/34.62  (declare-const tptp.ssItem (-> $$unsorted Bool))
% 34.30/34.62  (declare-const tptp.leq (-> $$unsorted $$unsorted Bool))
% 34.30/34.62  (define @t1 () (@var "V" $$unsorted))
% 34.30/34.62  (define @t2 () (@var "U" $$unsorted))
% 34.30/34.62  (define @t3 () (= @t2 @t1))
% 34.30/34.62  (define @t4 () (not @t3))
% 34.30/34.62  (define @t5 () (= (tptp.neq @t2 @t1) @t4))
% 34.30/34.62  (define @t6 () (tptp.ssItem @t1))
% 34.30/34.62  (define @t7 () (@list @t1))
% 34.30/34.62  (define @t8 () (tptp.ssItem @t2))
% 34.30/34.62  (define @t9 () (@list @t2))
% 34.30/34.62  (define @t10 () (@var "X" $$unsorted))
% 34.30/34.62  (define @t11 () (tptp.cons @t1 @t10))
% 34.30/34.62  (define @t12 () (@var "W" $$unsorted))
% 34.30/34.62  (define @t13 () (tptp.ssList @t10))
% 34.30/34.62  (define @t14 () (@list @t10))
% 34.30/34.62  (define @t15 () (tptp.ssList @t12))
% 34.30/34.62  (define @t16 () (@list @t12))
% 34.30/34.62  (define @t17 () (tptp.ssList @t2))
% 34.30/34.62  (define @t18 () (tptp.cons @t1 tptp.nil))
% 34.30/34.62  (define @t19 () (tptp.app @t1 @t12))
% 34.30/34.62  (define @t20 () (and @t15 (= @t19 @t2)))
% 34.30/34.62  (define @t21 () (exists @t16 @t20))
% 34.30/34.62  (define @t22 () (tptp.frontsegP @t2 @t1))
% 34.30/34.62  (define @t23 () (= @t22 @t21))
% 34.30/34.62  (define @t24 () (tptp.ssList @t1))
% 34.30/34.62  (define @t25 () (=> @t24 @t23))
% 34.30/34.62  (define @t26 () (forall @t7 @t25))
% 34.30/34.62  (define @t27 () (=> @t17 @t26))
% 34.30/34.62  (define @t28 () (forall @t9 @t27))
% 34.30/34.62  (define @t29 () (tptp.app @t12 @t1))
% 34.30/34.62  (define @t30 () (tptp.rearsegP @t2 @t1))
% 34.30/34.62  (define @t31 () (tptp.segmentP @t2 @t1))
% 34.30/34.62  (define @t32 () (tptp.leq @t12 @t1))
% 34.30/34.62  (define @t33 () (tptp.leq @t1 @t12))
% 34.30/34.62  (define @t34 () (@var "Z" $$unsorted))
% 34.30/34.62  (define @t35 () (@var "Y" $$unsorted))
% 34.30/34.62  (define @t36 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t35)) (tptp.cons @t12 @t34)) @t2))
% 34.30/34.62  (define @t37 () (tptp.ssList @t34))
% 34.30/34.62  (define @t38 () (@list @t34))
% 34.30/34.62  (define @t39 () (tptp.ssList @t35))
% 34.30/34.62  (define @t40 () (@list @t35))
% 34.30/34.62  (define @t41 () (tptp.ssItem @t12))
% 34.30/34.62  (define @t42 () (tptp.lt @t1 @t12))
% 34.30/34.62  (define @t43 () (= @t1 @t12))
% 34.30/34.62  (define @t44 () (forall @t7 (=> @t24 @t5)))
% 34.30/34.62  (define @t45 () (=> @t17 @t44))
% 34.30/34.62  (define @t46 () (forall @t9 @t45))
% 34.30/34.62  (define @t47 () (tptp.cons @t1 @t2))
% 34.30/34.62  (define @t48 () (tptp.ssList tptp.nil))
% 34.30/34.62  (define @t49 () (= @t1 @t2))
% 34.30/34.62  (define @t50 () (tptp.cons @t12 @t1))
% 34.30/34.62  (define @t51 () (= tptp.nil @t2))
% 34.30/34.62  (define @t52 () (tptp.hd @t2))
% 34.30/34.62  (define @t53 () (not @t51))
% 34.30/34.62  (define @t54 () (tptp.tl @t2))
% 34.30/34.62  (define @t55 () (tptp.app @t2 @t1))
% 34.30/34.62  (define @t56 () (tptp.app @t1 @t2))
% 34.30/34.62  (define @t57 () (tptp.app tptp.nil @t2))
% 34.30/34.62  (define @t58 () (=> @t17 (= @t57 @t2)))
% 34.30/34.62  (define @t59 () (forall @t9 @t58))
% 34.30/34.62  (define @t60 () (tptp.leq @t1 @t2))
% 34.30/34.62  (define @t61 () (tptp.leq @t2 @t1))
% 34.30/34.62  (define @t62 () (tptp.geq @t2 @t1))
% 34.30/34.62  (define @t63 () (tptp.lt @t1 @t2))
% 34.30/34.62  (define @t64 () (tptp.lt @t2 @t1))
% 34.30/34.62  (define @t65 () (tptp.lt @t2 @t12))
% 34.30/34.62  (define @t66 () (tptp.gt @t2 @t1))
% 34.30/34.62  (define @t67 () (tptp.memberP @t12 @t2))
% 34.30/34.62  (define @t68 () (tptp.frontsegP @t1 @t12))
% 34.30/34.62  (define @t69 () (tptp.frontsegP @t1 @t2))
% 34.30/34.62  (define @t70 () (tptp.app @t12 @t2))
% 34.30/34.62  (define @t71 () (tptp.segmentP @t2 @t2))
% 34.30/34.62  (define @t72 () (forall @t9 (=> @t17 @t71)))
% 34.30/34.62  (define @t73 () (tptp.segmentP (tptp.app @t70 @t10) @t1))
% 34.30/34.62  (define @t74 () (=> @t31 @t73))
% 34.30/34.62  (define @t75 () (forall @t14 (=> @t13 @t74)))
% 34.30/34.62  (define @t76 () (=> @t15 @t75))
% 34.30/34.62  (define @t77 () (forall @t16 @t76))
% 34.30/34.62  (define @t78 () (=> @t24 @t77))
% 34.30/34.62  (define @t79 () (forall @t7 @t78))
% 34.30/34.62  (define @t80 () (=> @t17 @t79))
% 34.30/34.62  (define @t81 () (forall @t9 @t80))
% 34.30/34.62  (define @t82 () (tptp.cons @t2 tptp.nil))
% 34.30/34.62  (define @t83 () (tptp.hd @t1))
% 34.30/34.62  (define @t84 () (= tptp.nil @t1))
% 34.30/34.62  (define @t85 () (not @t84))
% 34.30/34.62  (define @t86 () (tptp.cons @t2 @t1))
% 34.30/34.62  (define @t87 () (= @t12 @t2))
% 34.30/34.62  (define @t88 () (not (tptp.neq @t12 tptp.nil)))
% 34.30/34.62  (define @t89 () (or @t88 (not (tptp.frontsegP @t10 @t12))))
% 34.30/34.62  (define @t90 () (not (= tptp.nil @t12)))
% 34.30/34.62  (define @t91 () (not (= tptp.nil @t10)))
% 34.30/34.62  (define @t92 () (or @t91 @t90))
% 34.30/34.62  (define @t93 () (and @t92 @t89))
% 34.30/34.62  (define @t94 () (tptp.segmentP @t2 @t35))
% 34.30/34.62  (define @t95 () (tptp.segmentP @t1 @t35))
% 34.30/34.62  (define @t96 () (tptp.neq @t35 tptp.nil))
% 34.30/34.62  (define @t97 () (and @t39 @t96 @t95 @t94))
% 34.30/34.62  (define @t98 () (exists @t40 @t97))
% 34.30/34.62  (define @t99 () (not (tptp.neq @t1 tptp.nil)))
% 34.30/34.62  (define @t100 () (not (= @t2 @t12)))
% 34.30/34.62  (define @t101 () (not (= @t1 @t10)))
% 34.30/34.62  (define @t102 () (or @t101 @t100 @t99 @t98 @t93))
% 34.30/34.62  (define @t103 () (=> @t13 @t102))
% 34.30/34.62  (define @t104 () (forall @t14 @t103))
% 34.30/34.62  (define @t105 () (=> @t15 @t104))
% 34.30/34.62  (define @t106 () (forall @t16 @t105))
% 34.30/34.62  (define @t107 () (=> @t24 @t106))
% 34.30/34.62  (define @t108 () (forall @t7 @t107))
% 34.30/34.62  (define @t109 () (=> @t17 @t108))
% 34.30/34.62  (define @t110 () (forall @t9 @t109))
% 34.30/34.62  (define @t111 () (not @t110))
% 34.30/34.62  (define @t112 () (= @t2 @t57))
% 34.30/34.62  (define @t113 () (@var "BOUND_VARIABLE_10988" $$unsorted))
% 34.30/34.62  (define @t114 () (not (tptp.neq @t2 tptp.nil)))
% 34.30/34.62  (define @t115 () (or @t114 (not (tptp.frontsegP @t113 @t2))))
% 34.30/34.62  (define @t116 () (not (= @t2 tptp.nil)))
% 34.30/34.62  (define @t117 () (not @t94))
% 34.30/34.62  (define @t118 () (not @t96))
% 34.30/34.62  (define @t119 () (not @t39))
% 34.30/34.62  (define @t120 () (not (forall @t40 (or @t119 @t118 (not (tptp.segmentP @t113 @t35)) @t117))))
% 34.30/34.62  (define @t121 () (not (tptp.neq @t113 tptp.nil)))
% 34.30/34.62  (define @t122 () (not (tptp.ssList @t113)))
% 34.30/34.62  (define @t123 () (not @t17))
% 34.30/34.62  (define @t124 () (@list @t2 @t113))
% 34.30/34.62  (define @t125 () (forall @t124 (or @t123 @t122 @t121 @t120 (and (or (not (= tptp.nil @t113)) @t116) @t115))))
% 34.30/34.62  (define @t126 () (@quantifiers_skolemize @t125 0))
% 34.30/34.62  (define @t127 () (@list @t126))
% 34.30/34.62  (define @t128 () (not (= @t113 tptp.nil)))
% 34.30/34.62  (define @t129 () (or @t128 @t116))
% 34.30/34.62  (define @t130 () (and @t129 @t115))
% 34.30/34.62  (define @t131 () (or @t123 @t122 @t121 @t120 @t130))
% 34.30/34.62  (define @t132 () (or @t122 @t121 @t120 @t130))
% 34.30/34.62  (define @t133 () (or @t123 @t132))
% 34.30/34.62  (define @t134 () (forall @t124 @t133))
% 34.30/34.62  (define @t135 () (@list @t113))
% 34.30/34.62  (define @t136 () (forall @t135 @t133))
% 34.30/34.62  (define @t137 () (forall @t135 @t132))
% 34.30/34.62  (define @t138 () (@list @t1))
% 34.30/34.62  (define @t139 () (or @t123 @t137))
% 34.30/34.62  (define @t140 () (not (= @t1 tptp.nil)))
% 34.30/34.62  (define @t141 () (and (or @t140 @t116) (or @t114 (not @t69))))
% 34.30/34.62  (define @t142 () (not @t95))
% 34.30/34.62  (define @t143 () (or @t119 @t118 @t142 @t117))
% 34.30/34.62  (define @t144 () (not (forall @t40 @t143)))
% 34.30/34.62  (define @t145 () (not @t24))
% 34.30/34.62  (define @t146 () (or @t145 @t99 @t144 @t141))
% 34.30/34.62  (define @t147 () (or @t123 (forall @t7 @t146)))
% 34.30/34.62  (define @t148 () (or @t123 @t146))
% 34.30/34.62  (define @t149 () (or @t145 @t99 @t144 @t123 @t141))
% 34.30/34.62  (define @t150 () (or @t99 @t144 @t145 @t123 @t141))
% 34.30/34.62  (define @t151 () (or @t123 @t141))
% 34.30/34.62  (define @t152 () (not (= @t2 @t2)))
% 34.30/34.62  (define @t153 () (or @t123 @t152 @t141))
% 34.30/34.62  (define @t154 () (not (= @t12 tptp.nil)))
% 34.30/34.62  (define @t155 () (and (or @t140 @t154) (or @t88 (not @t68))))
% 34.30/34.62  (define @t156 () (not @t15))
% 34.30/34.62  (define @t157 () (or @t100 @t156 @t100 @t155))
% 34.30/34.62  (define @t158 () (or @t156 @t100 @t155))
% 34.30/34.62  (define @t159 () (forall @t16 @t158))
% 34.30/34.62  (define @t160 () (or @t99 @t144 @t145 @t159))
% 34.30/34.62  (define @t161 () (or @t99 @t144 @t145 @t158))
% 34.30/34.62  (define @t162 () (or @t156 @t100 @t99 @t144 @t145 @t155))
% 34.30/34.62  (define @t163 () (or @t100 @t99 @t144 @t145 @t155))
% 34.30/34.62  (define @t164 () (or @t145 @t155))
% 34.30/34.62  (define @t165 () (not (= @t1 @t1)))
% 34.30/34.62  (define @t166 () (or @t145 @t165 @t155))
% 34.30/34.62  (define @t167 () (and (or (not (= @t10 tptp.nil)) @t154) @t89))
% 34.30/34.62  (define @t168 () (not @t13))
% 34.30/34.62  (define @t169 () (or @t101 @t168 @t101 @t167))
% 34.30/34.62  (define @t170 () (or @t168 @t101 @t167))
% 34.30/34.62  (define @t171 () (forall @t14 @t170))
% 34.30/34.62  (define @t172 () (or @t100 @t99 @t144 @t171))
% 34.30/34.62  (define @t173 () (or @t100 @t99 @t144 @t170))
% 34.30/34.62  (define @t174 () (or @t168 @t101 @t100 @t99 @t144 @t167))
% 34.30/34.62  (define @t175 () (or @t101 @t100 @t99 @t144 @t167))
% 34.30/34.62  (define @t176 () (forall @t40 (not @t97)))
% 34.30/34.62  (define @t177 () (not @t176))
% 34.30/34.62  (define @t178 () (@quantifiers_skolemize @t125 1))
% 34.30/34.62  (define @t179 () (tptp.frontsegP @t178 @t126))
% 34.30/34.62  (define @t180 () (not @t179))
% 34.30/34.62  (define @t181 () (tptp.neq @t126 tptp.nil))
% 34.30/34.62  (define @t182 () (not @t181))
% 34.30/34.62  (define @t183 () (or @t182 @t180))
% 34.30/34.62  (define @t184 () (= tptp.nil @t178))
% 34.30/34.62  (define @t185 () (not @t184))
% 34.30/34.62  (define @t186 () (or @t185 (not (= tptp.nil @t126))))
% 34.30/34.62  (define @t187 () (and @t186 @t183))
% 34.30/34.62  (define @t188 () (forall @t40 (or @t119 @t118 (not (tptp.segmentP @t178 @t35)) (not (tptp.segmentP @t126 @t35)))))
% 34.30/34.62  (define @t189 () (not @t188))
% 34.30/34.62  (define @t190 () (tptp.neq @t178 tptp.nil))
% 34.30/34.62  (define @t191 () (not @t190))
% 34.30/34.62  (define @t192 () (tptp.ssList @t178))
% 34.30/34.62  (define @t193 () (not @t192))
% 34.30/34.62  (define @t194 () (tptp.ssList @t126))
% 34.30/34.62  (define @t195 () (not @t194))
% 34.30/34.62  (define @t196 () (or @t195 @t193 @t191 @t189 @t187))
% 34.30/34.62  (define @t197 () (not @t196))
% 34.30/34.62  (define @t198 () (not @t125))
% 34.30/34.62  (define @t199 () (not (= @t126 tptp.nil)))
% 34.30/34.62  (define @t200 () (or @t185 @t199))
% 34.30/34.62  (define @t201 () (and @t200 @t183))
% 34.30/34.62  (define @t202 () (or @t195 @t193 @t191 @t189 @t201))
% 34.30/34.62  (define @t203 () (not @t202))
% 34.30/34.62  (define @t204 () (@list true))
% 34.30/34.62  (define @t205 () (@list @t196))
% 34.30/34.62  (define @t206 () (tptp.app tptp.nil @t126))
% 34.30/34.62  (define @t207 () (= @t126 @t206))
% 34.30/34.62  (define @t208 () (or @t195 @t207))
% 34.30/34.62  (define @t209 () (@list false false))
% 34.30/34.62  (define @t210 () (tptp.segmentP @t126 @t126))
% 34.30/34.62  (define @t211 () (or @t195 @t210))
% 34.30/34.62  (define @t212 () (@var "BOUND_VARIABLE_9105" $$unsorted))
% 34.30/34.62  (define @t213 () (= (tptp.neq @t2 @t212) (not (= @t2 @t212))))
% 34.30/34.62  (define @t214 () (not (tptp.ssList @t212)))
% 34.30/34.62  (define @t215 () (or @t123 @t214 @t213))
% 34.30/34.62  (define @t216 () (or @t214 @t213))
% 34.30/34.62  (define @t217 () (or @t123 @t216))
% 34.30/34.62  (define @t218 () (@list @t2 @t212))
% 34.30/34.62  (define @t219 () (forall @t218 @t217))
% 34.30/34.62  (define @t220 () (@list @t212))
% 34.30/34.62  (define @t221 () (forall @t220 @t217))
% 34.30/34.62  (define @t222 () (forall @t220 @t216))
% 34.30/34.62  (define @t223 () (or @t123 @t222))
% 34.30/34.62  (define @t224 () (forall @t7 (or @t145 @t5)))
% 34.30/34.62  (define @t225 () (tptp.neq tptp.nil tptp.nil))
% 34.30/34.62  (define @t226 () (not (= tptp.nil tptp.nil)))
% 34.30/34.62  (define @t227 () (= @t225 @t226))
% 34.30/34.62  (define @t228 () (not @t48))
% 34.30/34.62  (define @t229 () (or @t228 @t228 @t227))
% 34.30/34.62  (define @t230 () (forall @t218 @t215))
% 34.30/34.62  (define @t231 () (not @t225))
% 34.30/34.62  (define @t232 () (or @t228 @t228 @t231))
% 34.30/34.62  (define @t233 () (= false true))
% 34.30/34.62  (define @t234 () (@list @t183))
% 34.30/34.62  (define @t235 () (not @t210))
% 34.30/34.62  (define @t236 () (tptp.segmentP @t178 @t126))
% 34.30/34.62  (define @t237 () (not @t236))
% 34.30/34.62  (define @t238 () (or @t195 @t182 @t237 @t235))
% 34.30/34.62  (define @t239 () (@var "BOUND_VARIABLE_8313" $$unsorted))
% 34.30/34.62  (define @t240 () (= (tptp.frontsegP @t2 @t239) (not (forall @t16 (or @t156 (not (= @t2 (tptp.app @t239 @t12))))))))
% 34.30/34.62  (define @t241 () (not (tptp.ssList @t239)))
% 34.30/34.62  (define @t242 () (or @t241 @t240))
% 34.30/34.62  (define @t243 () (or @t123 @t242))
% 34.30/34.62  (define @t244 () (forall (@list @t2 @t239) @t243))
% 34.30/34.62  (define @t245 () (@list @t239))
% 34.30/34.62  (define @t246 () (forall @t245 @t243))
% 34.30/34.62  (define @t247 () (forall @t245 @t242))
% 34.30/34.62  (define @t248 () (or @t123 @t247))
% 34.30/34.62  (define @t249 () (= @t2 @t19))
% 34.30/34.62  (define @t250 () (= @t22 (not (forall @t16 (or @t156 (not @t249))))))
% 34.30/34.62  (define @t251 () (forall @t7 (or @t145 @t250)))
% 34.30/34.62  (define @t252 () (and @t15 @t249))
% 34.30/34.62  (define @t253 () (forall @t16 (not @t252)))
% 34.30/34.62  (define @t254 () (not @t253))
% 34.30/34.62  (define @t255 () (forall @t16 (or @t156 (not (= @t178 (tptp.app @t126 @t12))))))
% 34.30/34.62  (define @t256 () (not @t255))
% 34.30/34.62  (define @t257 () (= @t179 @t256))
% 34.30/34.62  (define @t258 () (or @t193 @t195 @t257))
% 34.30/34.62  (define @t259 () (@quantifiers_skolemize @t255 0))
% 34.30/34.62  (define @t260 () (tptp.app @t126 @t259))
% 34.30/34.62  (define @t261 () (= @t178 @t260))
% 34.30/34.62  (define @t262 () (not @t261))
% 34.30/34.62  (define @t263 () (tptp.ssList @t259))
% 34.30/34.62  (define @t264 () (not @t263))
% 34.30/34.62  (define @t265 () (or @t264 @t262))
% 34.30/34.62  (define @t266 () (not @t265))
% 34.30/34.62  (define @t267 () (@list @t265))
% 34.30/34.62  (define @t268 () (@var "BOUND_VARIABLE_10204" $$unsorted))
% 34.30/34.62  (define @t269 () (@var "BOUND_VARIABLE_10208" $$unsorted))
% 34.30/34.62  (define @t270 () (@var "BOUND_VARIABLE_10206" $$unsorted))
% 34.30/34.62  (define @t271 () (tptp.segmentP (tptp.app (tptp.app @t270 @t2) @t269) @t268))
% 34.30/34.62  (define @t272 () (not (tptp.ssList @t269)))
% 34.30/34.62  (define @t273 () (not (tptp.ssList @t270)))
% 34.30/34.62  (define @t274 () (not (tptp.segmentP @t2 @t268)))
% 34.30/34.62  (define @t275 () (not (tptp.ssList @t268)))
% 34.30/34.62  (define @t276 () (or @t275 @t274 @t273 @t272 @t271))
% 34.30/34.62  (define @t277 () (or @t123 @t276))
% 34.30/34.62  (define @t278 () (forall (@list @t2 @t268 @t270 @t269) @t277))
% 34.30/34.62  (define @t279 () (@list @t268 @t270 @t269))
% 34.30/34.62  (define @t280 () (forall @t279 @t277))
% 34.30/34.62  (define @t281 () (forall @t279 @t276))
% 34.30/34.62  (define @t282 () (@var "BOUND_VARIABLE_10185" $$unsorted))
% 34.30/34.62  (define @t283 () (@var "BOUND_VARIABLE_10183" $$unsorted))
% 34.30/34.62  (define @t284 () (or @t123 @t281))
% 34.30/34.62  (define @t285 () (tptp.segmentP (tptp.app (tptp.app @t283 @t2) @t282) @t1))
% 34.30/34.62  (define @t286 () (not (tptp.ssList @t282)))
% 34.30/34.62  (define @t287 () (not (tptp.ssList @t283)))
% 34.30/34.62  (define @t288 () (not @t31))
% 34.30/34.62  (define @t289 () (or @t145 @t288 @t287 @t286 @t285))
% 34.30/34.62  (define @t290 () (@list @t1 @t283 @t282))
% 34.30/34.62  (define @t291 () (forall @t290 @t289))
% 34.30/34.62  (define @t292 () (or @t287 @t286 @t285))
% 34.30/34.62  (define @t293 () (or @t145 @t288 @t292))
% 34.30/34.62  (define @t294 () (forall @t290 @t293))
% 34.30/34.62  (define @t295 () (@list @t283 @t282))
% 34.30/34.62  (define @t296 () (forall @t295 @t293))
% 34.30/34.62  (define @t297 () (forall @t295 @t292))
% 34.30/34.62  (define @t298 () (@var "BOUND_VARIABLE_10166" $$unsorted))
% 34.30/34.62  (define @t299 () (or @t145 @t288 @t297))
% 34.30/34.62  (define @t300 () (tptp.segmentP (tptp.app @t70 @t298) @t1))
% 34.30/34.62  (define @t301 () (not (tptp.ssList @t298)))
% 34.30/34.62  (define @t302 () (or @t156 @t301 @t300))
% 34.30/34.62  (define @t303 () (@list @t12 @t298))
% 34.30/34.62  (define @t304 () (forall @t303 @t302))
% 34.30/34.62  (define @t305 () (or @t145 @t288 @t304))
% 34.30/34.62  (define @t306 () (or @t288 @t304))
% 34.30/34.62  (define @t307 () (or @t301 @t300))
% 34.30/34.62  (define @t308 () (or @t156 @t307))
% 34.30/34.62  (define @t309 () (forall @t303 @t308))
% 34.30/34.62  (define @t310 () (@list @t298))
% 34.30/34.62  (define @t311 () (forall @t310 @t308))
% 34.30/34.62  (define @t312 () (forall @t310 @t307))
% 34.30/34.62  (define @t313 () (or @t156 @t312))
% 34.30/34.62  (define @t314 () (or @t168 @t73))
% 34.30/34.62  (define @t315 () (forall @t14 @t314))
% 34.30/34.62  (define @t316 () (or @t156 @t315))
% 34.30/34.62  (define @t317 () (forall @t16 @t316))
% 34.30/34.62  (define @t318 () (or @t288 @t317))
% 34.30/34.62  (define @t319 () (or @t288 @t316))
% 34.30/34.62  (define @t320 () (or @t156 @t288 @t315))
% 34.30/34.62  (define @t321 () (or @t288 @t315))
% 34.30/34.62  (define @t322 () (or @t288 @t314))
% 34.30/34.62  (define @t323 () (or @t168 @t288 @t73))
% 34.30/34.62  (define @t324 () (tptp.segmentP (tptp.app @t206 @t259) @t126))
% 34.30/34.62  (define @t325 () (or @t195 @t195 @t235 @t228 @t264 @t324))
% 34.30/34.62  (define @t326 () (not @t324))
% 34.30/34.62  (define @t327 () (not @t207))
% 34.30/34.62  (define @t328 () (and @t324 @t207 @t261 @t237))
% 34.30/34.62  (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5)))))
% 34.30/34.62  (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4)))))
% 34.30/34.62  (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)))))))))))
% 34.30/34.62  (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2)))))))
% 34.30/34.62  (assume @p5 @t28)
% 34.30/34.62  (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= @t30 (exists @t16 (and @t15 (= @t29 @t2)))))))))
% 34.30/34.62  (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= @t31 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t29 @t10) @t2)))))))))))
% 34.30/34.62  (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (not (and @t33 @t32)))))))))))))))))
% 34.30/34.62  (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (or @t33 @t32))))))))))))))))
% 34.30/34.62  (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (or @t42 (tptp.lt @t12 @t1)))))))))))))))))
% 34.30/34.62  (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 @t33)))))))))))))))
% 34.30/34.62  (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 @t42)))))))))))))))
% 34.30/34.62  (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (not @t43))))))))))))))))
% 34.30/34.62  (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t35))) @t2) @t43)))))))))))))
% 34.30/34.62  (assume @p15 @t46)
% 34.30/34.62  (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t47))))))
% 34.30/34.62  (assume @p17 @t48)
% 34.30/34.62  (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t47 @t2)))))))
% 34.30/34.62  (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t41 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t49)))))))))))
% 34.30/34.62  (assume @p20 (forall @t9 (=> @t17 (or @t51 (exists @t7 (and @t24 (exists @t16 (and @t41 (= @t50 @t2)))))))))
% 34.30/34.62  (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t47)))))))
% 34.30/34.62  (assume @p22 (forall @t9 (=> @t17 (=> @t53 (tptp.ssItem @t52)))))
% 34.30/34.62  (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t47) @t1))))))
% 34.30/34.62  (assume @p24 (forall @t9 (=> @t17 (=> @t53 (tptp.ssList @t54)))))
% 34.30/34.62  (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t47) @t2))))))
% 34.30/34.62  (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (tptp.ssList @t55))))))
% 34.30/34.62  (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t41 (= (tptp.cons @t12 @t56) (tptp.app @t50 @t2)))))))))
% 34.30/34.62  (assume @p28 @t59)
% 34.30/34.62  (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t61 @t60) @t3))))))
% 34.30/34.62  (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t61 @t33) (tptp.leq @t2 @t12)))))))))
% 34.30/34.62  (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2))))
% 34.30/34.62  (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t62 @t60))))))
% 34.30/34.62  (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t64 (not @t63)))))))
% 34.30/34.62  (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t64 @t42) @t65))))))))
% 34.30/34.62  (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t66 @t63))))))
% 34.30/34.62  (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t67)))))))))
% 34.30/34.62  (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t67)))))))))
% 34.30/34.62  (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2)))))
% 34.30/34.62  (assume @p39 (not (tptp.singletonP tptp.nil)))
% 34.30/34.62  (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t22 @t68) (tptp.frontsegP @t2 @t12)))))))))
% 34.30/34.62  (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t22 @t69) @t3))))))
% 34.30/34.62  (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2))))
% 34.30/34.62  (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> @t22 (tptp.frontsegP (tptp.app @t2 @t12) @t1)))))))))
% 34.30/34.62  (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))))))))))))
% 34.30/34.62  (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil))))
% 34.30/34.62  (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t51))))
% 34.30/34.62  (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t30 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12)))))))))
% 34.30/34.62  (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t30 (tptp.rearsegP @t1 @t2)) @t3))))))
% 34.30/34.62  (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2))))
% 34.30/34.62  (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> @t30 (tptp.rearsegP @t70 @t1)))))))))
% 34.30/34.62  (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil))))
% 34.30/34.62  (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t51))))
% 34.30/34.62  (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (and @t31 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12)))))))))
% 34.30/34.62  (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t31 (tptp.segmentP @t1 @t2)) @t3))))))
% 34.30/34.62  (assume @p55 @t72)
% 34.30/34.62  (assume @p56 @t81)
% 34.30/34.62  (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil))))
% 34.30/34.62  (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t51))))
% 34.30/34.62  (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t82))))
% 34.30/34.62  (assume @p60 (tptp.cyclefreeP tptp.nil))
% 34.30/34.62  (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t82))))
% 34.30/34.62  (assume @p62 (tptp.totalorderP tptp.nil))
% 34.30/34.62  (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t82))))
% 34.30/34.62  (assume @p64 (tptp.strictorderP tptp.nil))
% 34.30/34.62  (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t82))))
% 34.30/34.62  (assume @p66 (tptp.totalorderedP tptp.nil))
% 34.30/34.62  (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (= (tptp.totalorderedP @t86) (or @t84 (and @t85 (tptp.totalorderedP @t1) (tptp.leq @t2 @t83)))))))))
% 34.30/34.62  (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t82))))
% 34.30/34.62  (assume @p69 (tptp.strictorderedP tptp.nil))
% 34.30/34.62  (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t24 (= (tptp.strictorderedP @t86) (or @t84 (and @t85 (tptp.strictorderedP @t1) (tptp.lt @t2 @t83)))))))))
% 34.30/34.62  (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t82))))
% 34.30/34.62  (assume @p72 (tptp.duplicatefreeP tptp.nil))
% 34.30/34.62  (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t82))))
% 34.30/34.62  (assume @p74 (tptp.equalelemsP tptp.nil))
% 34.30/34.62  (assume @p75 (forall @t9 (=> @t17 (=> @t53 (exists @t7 (and @t6 (= @t52 @t1)))))))
% 34.30/34.62  (assume @p76 (forall @t9 (=> @t17 (=> @t53 (exists @t7 (and @t24 (= @t54 @t1)))))))
% 34.30/34.62  (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> (and @t85 @t53 (= @t83 @t52) (= (tptp.tl @t1) @t54)) @t49))))))
% 34.30/34.62  (assume @p78 (forall @t9 (=> @t17 (=> @t53 (= (tptp.cons @t52 @t54) @t2)))))
% 34.30/34.62  (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (= @t29 @t55) @t87))))))))
% 34.30/34.62  (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (=> (= @t19 @t56) @t87))))))))
% 34.30/34.62  (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t47 (tptp.app @t18 @t2)))))))
% 34.30/34.62  (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (forall @t16 (=> @t15 (= (tptp.app @t55 @t12) (tptp.app @t2 @t19)))))))))
% 34.30/34.62  (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (= (= tptp.nil @t55) (and @t84 @t51)))))))
% 34.30/34.62  (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2))))
% 34.30/34.62  (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> @t53 (= (tptp.hd @t55) @t52)))))))
% 34.30/34.62  (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t24 (=> @t53 (= (tptp.tl @t55) (tptp.app @t54 @t1))))))))
% 34.30/34.62  (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t62 (tptp.geq @t1 @t2)) @t3))))))
% 34.30/34.62  (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t62 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12)))))))))
% 34.30/34.62  (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2))))
% 34.30/34.62  (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2)))))
% 34.30/34.62  (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t61 @t42) @t65))))))))
% 34.30/34.62  (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t61 (or @t3 @t64)))))))
% 34.30/34.62  (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t64 (and @t4 @t61)))))))
% 34.30/34.62  (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t66 (not (tptp.gt @t1 @t2))))))))
% 34.30/34.62  (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t66 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12)))))))))
% 34.30/34.62  (assume @p96 @t111)
% 34.30/34.62  (assume @p97 true)
% 34.30/34.62  (step @p98 :rule bool-impl-elim :args (@t17 @t112))
% 34.30/34.62  (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t112))))
% 34.30/34.62  (step @p100 :rule eq-symm :args (@t57 @t2))
% 34.30/34.62  (step @p101 :rule refl :args (@t17))
% 34.30/34.62  (step @p102 :rule cong :premises (@p101 @p100) :args (@t58))
% 34.30/34.62  (step @p103 :rule cong :premises (@p102) :args (@t59))
% 34.30/34.62  (step @p104 :rule trans :premises (@p103 @p99))
% 34.30/34.62  (step @p105 :rule eq_resolve :premises (@p28 @p104))
% 34.30/34.62  (step @p106 :rule instantiate :premises (@p105) :args (@t127))
% 34.30/34.62  (step @p107 :rule refl :args (@t115))
% 34.30/34.62  (step @p108 :rule refl :args (@t116))
% 34.30/34.62  (step @p109 :rule eq-symm :args (@t113 tptp.nil))
% 34.30/34.62  (step @p110 :rule cong :premises (@p109) :args (@t128))
% 34.30/34.62  (step @p111 :rule nary_cong :premises (@p110 @p108) :args (@t129))
% 34.30/34.62  (step @p112 :rule nary_cong :premises (@p111 @p107) :args (@t130))
% 34.30/34.62  (step @p113 :rule refl :args (@t120))
% 34.30/34.62  (step @p114 :rule refl :args (@t121))
% 34.30/34.62  (step @p115 :rule refl :args (@t122))
% 34.30/34.62  (step @p116 :rule refl :args (@t123))
% 34.30/34.62  (step @p117 :rule nary_cong :premises (@p116 @p115 @p114 @p113 @p112) :args (@t131))
% 34.30/34.62  (step @p118 :rule aci_norm :args ((= @t133 @t131)))
% 34.30/34.62  (step @p119 :rule trans :premises (@p118 @p117))
% 34.30/34.62  (step @p120 :rule cong :premises (@p119) :args (@t134))
% 34.30/34.62  (step @p121 :rule quant-merge-prenex :args ((= (forall @t9 @t136) @t134)))
% 34.30/34.62  (step @p122 :rule alpha_equiv :args (@t137 (@list @t113) @t138))
% 34.30/34.62  (step @p123 :rule refl :args (@t123))
% 34.30/34.62  (step @p124 :rule nary_cong :premises (@p123 @p122) :args (@t139))
% 34.30/34.62  (step @p125 :rule quant-miniscope-or :args ((= @t136 @t139)))
% 34.30/34.62  (step @p126 :rule trans :premises (@p125 @p124))
% 34.30/34.62  (step @p127 :rule symm :premises (@p126))
% 34.30/34.62  (step @p128 :rule cong :premises (@p127) :args ((forall @t9 @t147)))
% 34.30/34.62  (step @p129 :rule trans :premises (@p128 @p121))
% 34.30/34.62  (step @p130 :rule trans :premises (@p129 @p120))
% 34.30/34.62  (step @p131 :rule aci_norm :args ((= (or @t123 @t147) @t147)))
% 34.30/34.62  (step @p132 :rule bool-impl-elim :args (@t17 @t147))
% 34.30/34.62  (step @p133 :rule trans :premises (@p132 @p131))
% 34.30/34.62  (step @p134 :rule cong :premises (@p133) :args ((forall @t9 (=> @t17 @t147))))
% 34.30/34.62  (step @p135 :rule trans :premises (@p134 @p130))
% 34.30/34.62  (step @p136 :rule quant-miniscope-or :args ((= (forall @t7 @t148) @t147)))
% 34.30/34.62  (step @p137 :rule aci_norm :args ((= @t149 @t148)))
% 34.30/34.62  (step @p138 :rule cong :premises (@p137) :args ((forall @t7 @t149)))
% 34.30/34.62  (step @p139 :rule trans :premises (@p138 @p136))
% 34.30/34.62  (step @p140 :rule aci_norm :args ((= (or @t145 @t150) @t149)))
% 34.30/34.62  (step @p141 :rule bool-impl-elim :args (@t24 @t150))
% 34.30/34.62  (step @p142 :rule trans :premises (@p141 @p140))
% 34.30/34.62  (step @p143 :rule cong :premises (@p142) :args ((forall @t7 (=> @t24 @t150))))
% 34.30/34.62  (step @p144 :rule trans :premises (@p143 @p139))
% 34.30/34.62  (step @p145 :rule aci_norm :args ((= (or @t99 @t144 @t145 @t151) @t150)))
% 34.30/34.62  (step @p146 :rule aci_norm :args ((= (or @t123 false @t141) @t151)))
% 34.30/34.62  (step @p147 :rule refl :args (@t141))
% 34.30/34.62  (step @p148 :rule evaluate :args ((not true)))
% 34.30/34.62  (step @p149 :rule eq-refl :args (@t2))
% 34.30/34.62  (step @p150 :rule cong :premises (@p149) :args (@t152))
% 34.30/34.62  (step @p151 :rule trans :premises (@p150 @p148))
% 34.30/34.62  (step @p152 :rule nary_cong :premises (@p116 @p151 @p147) :args (@t153))
% 34.30/34.62  (step @p153 :rule trans :premises (@p152 @p146))
% 34.30/34.62  (step @p154 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t87) @t156 @t100 @t155)) @t153)))
% 34.30/34.62  (step @p155 :rule refl :args (@t155))
% 34.30/34.62  (step @p156 :rule refl :args (@t100))
% 34.30/34.62  (step @p157 :rule refl :args (@t156))
% 34.30/34.62  (step @p158 :rule eq-symm :args (@t2 @t12))
% 34.30/34.62  (step @p159 :rule cong :premises (@p158) :args (@t100))
% 34.30/34.62  (step @p160 :rule nary_cong :premises (@p159 @p157 @p156 @p155) :args (@t157))
% 34.30/34.62  (step @p161 :rule aci_norm :args ((= @t158 @t157)))
% 34.30/34.62  (step @p162 :rule trans :premises (@p161 @p160))
% 34.30/34.62  (step @p163 :rule cong :premises (@p162) :args (@t159))
% 34.30/34.62  (step @p164 :rule trans :premises (@p163 @p154))
% 34.30/34.62  (step @p165 :rule trans :premises (@p164 @p153))
% 34.30/34.62  (step @p166 :rule refl :args (@t145))
% 34.30/34.62  (step @p167 :rule refl :args (@t144))
% 34.30/34.62  (step @p168 :rule refl :args (@t99))
% 34.30/34.62  (step @p169 :rule nary_cong :premises (@p168 @p167 @p166 @p165) :args (@t160))
% 34.30/34.62  (step @p170 :rule trans :premises (@p169 @p145))
% 34.30/34.62  (step @p171 :rule quant-miniscope-or :args ((= (forall @t16 @t161) @t160)))
% 34.30/34.62  (step @p172 :rule aci_norm :args ((= @t162 @t161)))
% 34.30/34.62  (step @p173 :rule cong :premises (@p172) :args ((forall @t16 @t162)))
% 34.30/34.62  (step @p174 :rule trans :premises (@p173 @p171))
% 34.30/34.62  (step @p175 :rule trans :premises (@p174 @p170))
% 34.30/34.62  (step @p176 :rule aci_norm :args ((= (or @t156 @t163) @t162)))
% 34.30/34.62  (step @p177 :rule bool-impl-elim :args (@t15 @t163))
% 34.30/34.62  (step @p178 :rule trans :premises (@p177 @p176))
% 34.30/34.62  (step @p179 :rule cong :premises (@p178) :args ((forall @t16 (=> @t15 @t163))))
% 34.30/34.62  (step @p180 :rule trans :premises (@p179 @p175))
% 34.30/34.62  (step @p181 :rule aci_norm :args ((= (or @t100 @t99 @t144 @t164) @t163)))
% 34.30/34.62  (step @p182 :rule aci_norm :args ((= (or @t145 false @t155) @t164)))
% 34.30/34.62  (step @p183 :rule refl :args (@t155))
% 34.30/34.62  (step @p184 :rule eq-refl :args (@t1))
% 34.30/34.62  (step @p185 :rule cong :premises (@p184) :args (@t165))
% 34.30/34.62  (step @p186 :rule trans :premises (@p185 @p148))
% 34.30/34.62  (step @p187 :rule nary_cong :premises (@p166 @p186 @p183) :args (@t166))
% 34.30/34.62  (step @p188 :rule trans :premises (@p187 @p182))
% 34.30/34.62  (step @p189 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t168 @t101 @t167)) @t166)))
% 34.30/34.62  (step @p190 :rule refl :args (@t167))
% 34.30/34.62  (step @p191 :rule refl :args (@t101))
% 34.30/34.62  (step @p192 :rule refl :args (@t168))
% 34.30/34.62  (step @p193 :rule eq-symm :args (@t1 @t10))
% 34.30/34.62  (step @p194 :rule cong :premises (@p193) :args (@t101))
% 34.30/34.62  (step @p195 :rule nary_cong :premises (@p194 @p192 @p191 @p190) :args (@t169))
% 34.30/34.62  (step @p196 :rule aci_norm :args ((= @t170 @t169)))
% 34.30/34.62  (step @p197 :rule trans :premises (@p196 @p195))
% 34.30/34.62  (step @p198 :rule cong :premises (@p197) :args (@t171))
% 34.30/34.62  (step @p199 :rule trans :premises (@p198 @p189))
% 34.30/34.62  (step @p200 :rule trans :premises (@p199 @p188))
% 34.30/34.62  (step @p201 :rule refl :args (@t100))
% 34.30/34.62  (step @p202 :rule nary_cong :premises (@p201 @p168 @p167 @p200) :args (@t172))
% 34.30/34.62  (step @p203 :rule trans :premises (@p202 @p181))
% 34.30/34.62  (step @p204 :rule quant-miniscope-or :args ((= (forall @t14 @t173) @t172)))
% 34.30/34.62  (step @p205 :rule aci_norm :args ((= @t174 @t173)))
% 34.30/34.62  (step @p206 :rule cong :premises (@p205) :args ((forall @t14 @t174)))
% 34.30/34.62  (step @p207 :rule trans :premises (@p206 @p204))
% 34.30/34.62  (step @p208 :rule trans :premises (@p207 @p203))
% 34.30/34.62  (step @p209 :rule aci_norm :args ((= (or @t168 @t175) @t174)))
% 34.30/34.62  (step @p210 :rule bool-impl-elim :args (@t13 @t175))
% 34.30/34.62  (step @p211 :rule trans :premises (@p210 @p209))
% 34.30/34.62  (step @p212 :rule cong :premises (@p211) :args ((forall @t14 (=> @t13 @t175))))
% 34.30/34.62  (step @p213 :rule trans :premises (@p212 @p208))
% 34.30/34.62  (step @p214 :rule refl :args (@t89))
% 34.30/34.62  (step @p215 :rule eq-symm :args (tptp.nil @t12))
% 34.30/34.62  (step @p216 :rule cong :premises (@p215) :args (@t90))
% 34.30/34.62  (step @p217 :rule eq-symm :args (tptp.nil @t10))
% 34.30/34.62  (step @p218 :rule cong :premises (@p217) :args (@t91))
% 34.30/34.62  (step @p219 :rule nary_cong :premises (@p218 @p216) :args (@t92))
% 34.30/34.62  (step @p220 :rule nary_cong :premises (@p219 @p214) :args (@t93))
% 34.30/34.62  (step @p221 :rule aci_norm :args ((= (or @t119 (or @t118 (or @t142 @t117))) @t143)))
% 34.30/34.62  (step @p222 :rule bool-and-de-morgan :args (@t95 @t94 true))
% 34.30/34.62  (step @p223 :rule refl :args (@t118))
% 34.30/34.62  (step @p224 :rule nary_cong :premises (@p223 @p222) :args ((or @t118 (not (and @t95 @t94)))))
% 34.30/34.62  (step @p225 :rule bool-and-de-morgan :args (@t96 @t95 (and @t94)))
% 34.30/34.62  (step @p226 :rule trans :premises (@p225 @p224))
% 34.30/34.62  (step @p227 :rule refl :args (@t119))
% 34.30/34.62  (step @p228 :rule nary_cong :premises (@p227 @p226) :args ((or @t119 (not (and @t96 @t95 @t94)))))
% 34.30/34.62  (step @p229 :rule bool-and-de-morgan :args (@t39 @t96 (and @t95 @t94)))
% 34.30/34.62  (step @p230 :rule trans :premises (@p229 @p228))
% 34.30/34.62  (step @p231 :rule trans :premises (@p230 @p221))
% 34.30/34.62  (step @p232 :rule cong :premises (@p231) :args (@t176))
% 34.30/34.62  (step @p233 :rule cong :premises (@p232) :args (@t177))
% 34.30/34.62  (step @p234 :rule exists-elim :args ((= @t98 @t177)))
% 34.30/34.62  (step @p235 :rule trans :premises (@p234 @p233))
% 34.30/34.62  (step @p236 :rule refl :args (@t101))
% 34.30/34.62  (step @p237 :rule nary_cong :premises (@p236 @p201 @p168 @p235 @p220) :args (@t102))
% 34.30/34.62  (step @p238 :rule refl :args (@t13))
% 34.30/34.62  (step @p239 :rule cong :premises (@p238 @p237) :args (@t103))
% 34.30/34.62  (step @p240 :rule cong :premises (@p239) :args (@t104))
% 34.30/34.62  (step @p241 :rule trans :premises (@p240 @p213))
% 34.30/34.62  (step @p242 :rule refl :args (@t15))
% 34.30/34.62  (step @p243 :rule cong :premises (@p242 @p241) :args (@t105))
% 34.30/34.62  (step @p244 :rule cong :premises (@p243) :args (@t106))
% 34.30/34.62  (step @p245 :rule trans :premises (@p244 @p180))
% 34.30/34.62  (step @p246 :rule refl :args (@t24))
% 34.30/34.62  (step @p247 :rule cong :premises (@p246 @p245) :args (@t107))
% 34.30/34.62  (step @p248 :rule cong :premises (@p247) :args (@t108))
% 34.30/34.62  (step @p249 :rule trans :premises (@p248 @p144))
% 34.30/34.62  (step @p250 :rule cong :premises (@p101 @p249) :args (@t109))
% 34.30/34.62  (step @p251 :rule cong :premises (@p250) :args (@t110))
% 34.30/34.62  (step @p252 :rule trans :premises (@p251 @p135))
% 34.30/34.62  (step @p253 :rule cong :premises (@p252) :args (@t111))
% 34.30/34.62  (step @p254 :rule eq_resolve :premises (@p96 @p253))
% 34.30/34.62  (step @p255 :rule refl :args (@t197))
% 34.30/34.62  (step @p256 :rule bool-double-not-elim :args (@t125))
% 34.30/34.62  (step @p257 :rule nary_cong :premises (@p256 @p255) :args ((or (not @t198) @t197)))
% 34.30/34.62  (step @p258 :rule refl :args (@t183))
% 34.30/34.62  (step @p259 :rule eq-symm :args (@t126 tptp.nil))
% 34.30/34.62  (step @p260 :rule cong :premises (@p259) :args (@t199))
% 34.30/34.62  (step @p261 :rule refl :args (@t185))
% 34.30/34.62  (step @p262 :rule nary_cong :premises (@p261 @p260) :args (@t200))
% 34.30/34.62  (step @p263 :rule nary_cong :premises (@p262 @p258) :args (@t201))
% 34.30/34.62  (step @p264 :rule refl :args (@t189))
% 34.30/34.62  (step @p265 :rule refl :args (@t191))
% 34.30/34.62  (step @p266 :rule refl :args (@t193))
% 34.30/34.62  (step @p267 :rule refl :args (@t195))
% 34.30/34.62  (step @p268 :rule nary_cong :premises (@p267 @p266 @p265 @p264 @p263) :args (@t202))
% 34.30/34.62  (step @p269 :rule cong :premises (@p268) :args (@t203))
% 34.30/34.62  (step @p270 :rule refl :args (@t198))
% 34.30/34.62  (step @p271 :rule cong :premises (@p270 @p269) :args ((=> @t198 @t203)))
% 34.30/34.62  (assume-push @p590 @t198)
% 34.30/34.62  (step @p273 :rule skolemize :premises (@p254))
% 34.30/34.62  (step-pop @p591 :rule scope :premises (@p273))
% 34.30/34.62  (step @p274 :rule process_scope :premises (@p591) :args (@t203))
% 34.30/34.62  (step @p276 :rule eq_resolve :premises (@p274 @p271))
% 34.30/34.62  (step @p277 :rule implies_elim :premises (@p276))
% 34.30/34.62  (step @p278 :rule eq_resolve :premises (@p277 @p257))
% 34.30/34.62  (step @p279 :rule chain_m_resolution :premises (@p278 @p254) :args (@t197 @t204 (@list @t125)))
% 34.30/34.62  (step @p280 :rule bool-double-not-elim :args (@t194))
% 34.30/34.62  (step @p281 :rule refl :args (@t196))
% 34.30/34.62  (step @p282 :rule nary_cong :premises (@p281 @p280) :args ((or @t196 (not @t195))))
% 34.30/34.62  (step @p283 :rule cnf_or_neg :args (@t196 0))
% 34.30/34.62  (step @p284 :rule eq_resolve :premises (@p283 @p282))
% 34.30/34.62  (step @p285 :rule reordering :premises (@p284) :args ((or @t194 @t196)))
% 34.30/34.62  (step @p286 :rule chain_m_resolution :premises (@p285 @p279) :args (@t194 @t204 @t205))
% 34.30/34.62  (step @p287 :rule cnf_or_pos :args (@t208))
% 34.30/34.62  (step @p288 :rule reordering :premises (@p287) :args ((or @t195 @t207 (not @t208))))
% 34.30/34.62  (step @p289 :rule chain_m_resolution :premises (@p288 @p286 @p106) :args (@t207 @t209 (@list @t194 @t208)))
% 34.30/34.62  (step @p290 :rule bool-double-not-elim :args (@t188))
% 34.30/34.62  (step @p291 :rule nary_cong :premises (@p281 @p290) :args ((or @t196 (not @t189))))
% 34.30/34.62  (step @p292 :rule cnf_or_neg :args (@t196 3))
% 34.30/34.62  (step @p293 :rule eq_resolve :premises (@p292 @p291))
% 34.30/34.62  (step @p294 :rule reordering :premises (@p293) :args ((or @t188 @t196)))
% 34.30/34.62  (step @p295 :rule chain_m_resolution :premises (@p294 @p279) :args (@t188 @t204 @t205))
% 34.30/34.62  (step @p296 :rule instantiate :premises (@p295) :args (@t127))
% 34.30/34.62  (step @p297 :rule bool-impl-elim :args (@t17 @t71))
% 34.30/34.62  (step @p298 :rule cong :premises (@p297) :args (@t72))
% 34.30/34.62  (step @p299 :rule eq_resolve :premises (@p55 @p298))
% 34.30/34.62  (step @p300 :rule instantiate :premises (@p299) :args (@t127))
% 34.30/34.62  (step @p301 :rule cnf_or_pos :args (@t211))
% 34.30/34.62  (step @p302 :rule reordering :premises (@p301) :args ((or @t195 @t210 (not @t211))))
% 34.30/34.62  (step @p303 :rule chain_m_resolution :premises (@p302 @p286 @p300) :args (@t210 @t209 (@list @t194 @t211)))
% 34.30/34.62  (step @p304 :rule aci_norm :args ((= @t217 @t215)))
% 34.30/34.62  (step @p305 :rule cong :premises (@p304) :args (@t219))
% 34.30/34.62  (step @p306 :rule quant-merge-prenex :args ((= (forall @t9 @t221) @t219)))
% 34.30/34.62  (step @p307 :rule alpha_equiv :args (@t222 (@list @t212) @t138))
% 34.30/34.62  (step @p308 :rule nary_cong :premises (@p123 @p307) :args (@t223))
% 34.30/34.62  (step @p309 :rule quant-miniscope-or :args ((= @t221 @t223)))
% 34.30/34.62  (step @p310 :rule trans :premises (@p309 @p308))
% 34.30/34.62  (step @p311 :rule symm :premises (@p310))
% 34.30/34.62  (step @p312 :rule cong :premises (@p311) :args ((forall @t9 (or @t123 @t224))))
% 34.30/34.62  (step @p313 :rule trans :premises (@p312 @p306))
% 34.30/34.62  (step @p314 :rule trans :premises (@p313 @p305))
% 34.30/34.62  (step @p315 :rule bool-impl-elim :args (@t17 @t224))
% 34.30/34.62  (step @p316 :rule cong :premises (@p315) :args ((forall @t9 (=> @t17 @t224))))
% 34.30/34.62  (step @p317 :rule trans :premises (@p316 @p314))
% 34.30/34.62  (step @p318 :rule bool-impl-elim :args (@t24 @t5))
% 34.30/34.62  (step @p319 :rule cong :premises (@p318) :args (@t44))
% 34.30/34.62  (step @p320 :rule cong :premises (@p101 @p319) :args (@t45))
% 34.30/34.62  (step @p321 :rule cong :premises (@p320) :args (@t46))
% 34.30/34.62  (step @p322 :rule trans :premises (@p321 @p317))
% 34.30/34.62  (step @p323 :rule eq_resolve :premises (@p15 @p322))
% 34.30/34.62  (step @p324 :rule bool-eq-false :args (@t225))
% 34.30/34.62  (step @p325 :rule eq-refl :args (tptp.nil))
% 34.30/34.62  (step @p326 :rule cong :premises (@p325) :args (@t226))
% 34.30/34.62  (step @p327 :rule trans :premises (@p326 @p148))
% 34.30/34.62  (step @p328 :rule refl :args (@t225))
% 34.30/34.62  (step @p329 :rule cong :premises (@p328 @p327) :args (@t227))
% 34.30/34.62  (step @p330 :rule trans :premises (@p329 @p324))
% 34.30/34.62  (step @p331 :rule refl :args (@t228))
% 34.30/34.62  (step @p332 :rule nary_cong :premises (@p331 @p331 @p330) :args (@t229))
% 34.30/34.62  (step @p333 :rule refl :args (@t230))
% 34.30/34.62  (step @p334 :rule cong :premises (@p333 @p332) :args ((=> @t230 @t229)))
% 34.30/34.62  (assume-push @p592 @t230)
% 34.30/34.62  (step @p336 :rule instantiate :premises (@p323) :args ((@list tptp.nil tptp.nil)))
% 34.30/34.62  (step-pop @p593 :rule scope :premises (@p336))
% 34.30/34.62  (step @p337 :rule process_scope :premises (@p593) :args (@t229))
% 34.30/34.62  (step @p339 :rule eq_resolve :premises (@p337 @p334))
% 34.30/34.62  (step @p340 :rule implies_elim :premises (@p339))
% 34.30/34.62  (step @p341 :rule chain_m_resolution :premises (@p340 @p323) :args (@t232 (@list false) (@list @t230)))
% 34.30/34.62  (step @p342 :rule cnf_or_pos :args (@t232))
% 34.30/34.62  (step @p343 :rule factoring :premises (@p342))
% 34.30/34.62  (step @p344 :rule reordering :premises (@p343) :args ((or @t228 @t231 (not @t232))))
% 34.30/34.62  (step @p345 :rule chain_m_resolution :premises (@p344 @p17 @p341) :args (@t231 @t209 (@list @t48 @t232)))
% 34.30/34.62  (step @p346 :rule bool-double-not-elim :args (@t190))
% 34.30/34.62  (step @p347 :rule nary_cong :premises (@p281 @p346) :args ((or @t196 (not @t191))))
% 34.30/34.62  (step @p348 :rule cnf_or_neg :args (@t196 2))
% 34.30/34.62  (step @p349 :rule eq_resolve :premises (@p348 @p347))
% 34.30/34.62  (step @p350 :rule reordering :premises (@p349) :args ((or @t190 @t196)))
% 34.30/34.62  (step @p351 :rule chain_m_resolution :premises (@p350 @p279) :args (@t190 @t204 @t205))
% 34.30/34.62  (step @p352 :rule bool-double-not-elim :args (@t225))
% 34.30/34.62  (step @p353 :rule nary_cong :premises (@p265 @p261 @p352) :args ((or @t191 @t185 (not @t231))))
% 34.30/34.62  (assume-push @p594 @t190)
% 34.30/34.62  (assume-push @p595 @t184)
% 34.30/34.62  (assume-push @p596 @t231)
% 34.30/34.62  (step @p357 :rule evaluate :args (@t233))
% 34.30/34.62  (step @p358 :rule true_intro :premises (@p351))
% 34.30/34.62  (step @p359 :rule refl :args (tptp.nil))
% 34.30/34.62  (step @p360 :rule cong :premises (@p595 @p359) :args (@t225))
% 34.30/34.62  (step @p361 :rule false_intro :premises (@p345))
% 34.30/34.62  (step @p362 :rule symm :premises (@p361))
% 34.30/34.62  (step @p363 :rule trans :premises (@p362 @p360 @p358))
% 34.30/34.62  (step @p364 false :rule eq_resolve :premises (@p363 @p357))
% 34.30/34.62  (step-pop @p597 :rule scope :premises (@p364))
% 34.30/34.62  (step-pop @p598 :rule scope :premises (@p597))
% 34.30/34.62  (step-pop @p599 :rule scope :premises (@p598))
% 34.30/34.62  (step @p365 :rule process_scope :premises (@p599) :args (false))
% 34.30/34.62  (step @p369 :rule not_and :premises (@p365))
% 34.30/34.62  (step @p370 :rule eq_resolve :premises (@p369 @p353))
% 34.30/34.62  (step @p371 :rule chain_m_resolution :premises (@p370 @p351 @p345) :args (@t185 (@list false true) (@list @t190 @t225)))
% 34.30/34.62  (step @p372 :rule bool-double-not-elim :args (@t184))
% 34.30/34.62  (step @p373 :rule refl :args (@t186))
% 34.30/34.62  (step @p374 :rule nary_cong :premises (@p373 @p372) :args ((or @t186 (not @t185))))
% 34.30/34.62  (step @p375 :rule cnf_or_neg :args (@t186 0))
% 34.30/34.62  (step @p376 :rule eq_resolve :premises (@p375 @p374))
% 34.30/34.62  (step @p377 :rule reordering :premises (@p376) :args ((or @t184 @t186)))
% 34.30/34.62  (step @p378 :rule chain_m_resolution :premises (@p377 @p371) :args (@t186 @t204 (@list @t184)))
% 34.30/34.62  (step @p379 :rule cnf_or_neg :args (@t196 4))
% 34.30/34.62  (step @p380 :rule chain_m_resolution :premises (@p379 @p279) :args ((not @t187) @t204 @t205))
% 34.30/34.62  (step @p381 :rule cnf_and_neg :args (@t187))
% 34.30/34.62  (step @p382 :rule chain_m_resolution :premises (@p381 @p380 @p378) :args ((not @t183) (@list true false) (@list @t187 @t186)))
% 34.30/34.62  (step @p383 :rule bool-double-not-elim :args (@t181))
% 34.30/34.62  (step @p384 :rule nary_cong :premises (@p258 @p383) :args ((or @t183 (not @t182))))
% 34.30/34.62  (step @p385 :rule cnf_or_neg :args (@t183 0))
% 34.30/34.62  (step @p386 :rule eq_resolve :premises (@p385 @p384))
% 34.30/34.62  (step @p387 :rule reordering :premises (@p386) :args ((or @t181 @t183)))
% 34.30/34.62  (step @p388 :rule chain_m_resolution :premises (@p387 @p382) :args (@t181 @t204 @t234))
% 34.30/34.62  (step @p389 :rule cnf_or_pos :args (@t238))
% 34.30/34.62  (step @p390 :rule reordering :premises (@p389) :args ((or @t195 @t182 @t235 @t237 (not @t238))))
% 34.30/34.62  (step @p391 :rule chain_m_resolution :premises (@p390 @p286 @p388 @p303 @p296) :args (@t237 (@list false false false false) (@list @t194 @t181 @t210 @t238)))
% 34.30/34.62  (step @p392 :rule aci_norm :args ((= @t243 (or @t123 @t241 @t240))))
% 34.30/34.62  (step @p393 :rule cong :premises (@p392) :args (@t244))
% 34.30/34.62  (step @p394 :rule quant-merge-prenex :args ((= (forall @t9 @t246) @t244)))
% 34.30/34.62  (step @p395 :rule alpha_equiv :args (@t247 (@list @t239) @t138))
% 34.30/34.62  (step @p396 :rule nary_cong :premises (@p123 @p395) :args (@t248))
% 34.30/34.62  (step @p397 :rule quant-miniscope-or :args ((= @t246 @t248)))
% 34.30/34.62  (step @p398 :rule trans :premises (@p397 @p396))
% 34.30/34.62  (step @p399 :rule symm :premises (@p398))
% 34.30/34.62  (step @p400 :rule cong :premises (@p399) :args ((forall @t9 (or @t123 @t251))))
% 34.30/34.62  (step @p401 :rule trans :premises (@p400 @p394))
% 34.30/34.62  (step @p402 :rule trans :premises (@p401 @p393))
% 34.30/34.62  (step @p403 :rule bool-impl-elim :args (@t17 @t251))
% 34.30/34.62  (step @p404 :rule cong :premises (@p403) :args ((forall @t9 (=> @t17 @t251))))
% 34.30/34.62  (step @p405 :rule trans :premises (@p404 @p402))
% 34.30/34.62  (step @p406 :rule bool-impl-elim :args (@t24 @t250))
% 34.30/34.62  (step @p407 :rule cong :premises (@p406) :args ((forall @t7 (=> @t24 @t250))))
% 34.30/34.62  (step @p408 :rule bool-and-de-morgan :args (@t15 @t249 true))
% 34.30/34.62  (step @p409 :rule cong :premises (@p408) :args (@t253))
% 34.30/34.62  (step @p410 :rule cong :premises (@p409) :args (@t254))
% 34.30/34.62  (step @p411 :rule exists-elim :args ((= (exists @t16 @t252) @t254)))
% 34.30/34.62  (step @p412 :rule trans :premises (@p411 @p410))
% 34.30/34.62  (step @p413 :rule eq-symm :args (@t19 @t2))
% 34.30/34.62  (step @p414 :rule nary_cong :premises (@p242 @p413) :args (@t20))
% 34.30/34.62  (step @p415 :rule cong :premises (@p414) :args (@t21))
% 34.30/34.62  (step @p416 :rule trans :premises (@p415 @p412))
% 34.30/34.62  (step @p417 :rule refl :args (@t22))
% 34.30/34.62  (step @p418 :rule cong :premises (@p417 @p416) :args (@t23))
% 34.30/34.62  (step @p419 :rule cong :premises (@p246 @p418) :args (@t25))
% 34.30/34.62  (step @p420 :rule cong :premises (@p419) :args (@t26))
% 34.30/34.62  (step @p421 :rule trans :premises (@p420 @p407))
% 34.30/34.62  (step @p422 :rule cong :premises (@p101 @p421) :args (@t27))
% 34.30/34.62  (step @p423 :rule cong :premises (@p422) :args (@t28))
% 34.30/34.62  (step @p424 :rule trans :premises (@p423 @p405))
% 34.30/34.62  (step @p425 :rule eq_resolve :premises (@p5 @p424))
% 34.30/34.62  (step @p426 :rule instantiate :premises (@p425) :args ((@list @t178 @t126)))
% 34.30/34.62  (step @p427 :rule bool-double-not-elim :args (@t192))
% 34.30/34.62  (step @p428 :rule nary_cong :premises (@p281 @p427) :args ((or @t196 (not @t193))))
% 34.30/34.62  (step @p429 :rule cnf_or_neg :args (@t196 1))
% 34.30/34.62  (step @p430 :rule eq_resolve :premises (@p429 @p428))
% 34.30/34.62  (step @p431 :rule reordering :premises (@p430) :args ((or @t192 @t196)))
% 34.30/34.62  (step @p432 :rule chain_m_resolution :premises (@p431 @p279) :args (@t192 @t204 @t205))
% 34.30/34.62  (step @p433 :rule cnf_or_pos :args (@t258))
% 34.30/34.62  (step @p434 :rule reordering :premises (@p433) :args ((or @t195 @t193 @t257 (not @t258))))
% 34.30/34.62  (step @p435 :rule chain_m_resolution :premises (@p434 @p286 @p432 @p426) :args (@t257 (@list false false false) (@list @t194 @t192 @t258)))
% 34.30/34.62  (step @p436 :rule bool-double-not-elim :args (@t179))
% 34.30/34.62  (step @p437 :rule nary_cong :premises (@p258 @p436) :args ((or @t183 (not @t180))))
% 34.30/34.62  (step @p438 :rule cnf_or_neg :args (@t183 1))
% 34.30/34.62  (step @p439 :rule eq_resolve :premises (@p438 @p437))
% 34.30/34.62  (step @p440 :rule reordering :premises (@p439) :args ((or @t179 @t183)))
% 34.30/34.62  (step @p441 :rule chain_m_resolution :premises (@p440 @p382) :args (@t179 @t204 @t234))
% 34.30/34.62  (step @p442 :rule cnf_equiv_pos1 :args (@t257))
% 34.30/34.62  (step @p443 :rule reordering :premises (@p442) :args ((or @t180 @t256 (not @t257))))
% 34.30/34.62  (step @p444 :rule chain_m_resolution :premises (@p443 @p441 @p435) :args (@t256 @t209 (@list @t179 @t257)))
% 34.30/34.62  (step @p445 :rule refl :args (@t266))
% 34.30/34.62  (step @p446 :rule bool-double-not-elim :args (@t255))
% 34.30/34.62  (step @p447 :rule nary_cong :premises (@p446 @p445) :args ((or (not @t256) @t266)))
% 34.30/34.62  (assume-push @p600 @t256)
% 34.30/34.62  (step @p449 :rule skolemize :premises (@p600))
% 34.30/34.62  (step-pop @p601 :rule scope :premises (@p449))
% 34.30/34.62  (step @p450 :rule process_scope :premises (@p601) :args (@t266))
% 34.30/34.62  (step @p452 :rule implies_elim :premises (@p450))
% 34.30/34.62  (step @p453 :rule eq_resolve :premises (@p452 @p447))
% 34.30/34.62  (step @p454 :rule chain_m_resolution :premises (@p453 @p444) :args (@t266 @t204 (@list @t255)))
% 34.30/34.62  (step @p455 :rule bool-double-not-elim :args (@t261))
% 34.30/34.62  (step @p456 :rule refl :args (@t265))
% 34.30/34.62  (step @p457 :rule nary_cong :premises (@p456 @p455) :args ((or @t265 (not @t262))))
% 34.30/34.62  (step @p458 :rule cnf_or_neg :args (@t265 1))
% 34.30/34.62  (step @p459 :rule eq_resolve :premises (@p458 @p457))
% 34.30/34.62  (step @p460 :rule reordering :premises (@p459) :args ((or @t261 @t265)))
% 34.30/34.62  (step @p461 :rule chain_m_resolution :premises (@p460 @p454) :args (@t261 @t204 @t267))
% 34.30/34.62  (step @p462 :rule aci_norm :args ((= @t277 (or @t123 @t275 @t274 @t273 @t272 @t271))))
% 34.30/34.62  (step @p463 :rule cong :premises (@p462) :args (@t278))
% 34.30/34.62  (step @p464 :rule quant-merge-prenex :args ((= (forall @t9 @t280) @t278)))
% 34.30/34.62  (step @p465 :rule alpha_equiv :args (@t281 (@list @t268 @t270 @t269) (@list @t1 @t283 @t282)))
% 34.30/34.62  (step @p466 :rule nary_cong :premises (@p123 @p465) :args (@t284))
% 34.30/34.62  (step @p467 :rule quant-miniscope-or :args ((= @t280 @t284)))
% 34.30/34.62  (step @p468 :rule trans :premises (@p467 @p466))
% 34.30/34.62  (step @p469 :rule symm :premises (@p468))
% 34.30/34.62  (step @p470 :rule cong :premises (@p469) :args ((forall @t9 (or @t123 @t291))))
% 34.30/34.62  (step @p471 :rule trans :premises (@p470 @p464))
% 34.30/34.62  (step @p472 :rule trans :premises (@p471 @p463))
% 34.30/34.62  (step @p473 :rule bool-impl-elim :args (@t17 @t291))
% 34.30/34.62  (step @p474 :rule cong :premises (@p473) :args ((forall @t9 (=> @t17 @t291))))
% 34.30/34.62  (step @p475 :rule trans :premises (@p474 @p472))
% 34.30/34.62  (step @p476 :rule aci_norm :args ((= @t293 @t289)))
% 34.30/34.62  (step @p477 :rule cong :premises (@p476) :args (@t294))
% 34.30/34.62  (step @p478 :rule quant-merge-prenex :args ((= (forall @t7 @t296) @t294)))
% 34.30/34.62  (step @p479 :rule alpha_equiv :args (@t297 (@list @t283 @t282) (@list @t12 @t298)))
% 34.30/34.62  (step @p480 :rule refl :args (@t288))
% 34.30/34.62  (step @p481 :rule refl :args (@t145))
% 34.30/34.62  (step @p482 :rule nary_cong :premises (@p481 @p480 @p479) :args (@t299))
% 34.30/34.62  (step @p483 :rule quant-miniscope-or :args ((= @t296 @t299)))
% 34.30/34.62  (step @p484 :rule trans :premises (@p483 @p482))
% 34.30/34.62  (step @p485 :rule symm :premises (@p484))
% 34.30/34.62  (step @p486 :rule cong :premises (@p485) :args ((forall @t7 @t305)))
% 34.30/34.62  (step @p487 :rule trans :premises (@p486 @p478))
% 34.30/34.62  (step @p488 :rule trans :premises (@p487 @p477))
% 34.30/34.62  (step @p489 :rule aci_norm :args ((= (or @t145 @t306) @t305)))
% 34.30/34.62  (step @p490 :rule bool-impl-elim :args (@t24 @t306))
% 34.30/34.62  (step @p491 :rule trans :premises (@p490 @p489))
% 34.30/34.62  (step @p492 :rule cong :premises (@p491) :args ((forall @t7 (=> @t24 @t306))))
% 34.30/34.62  (step @p493 :rule trans :premises (@p492 @p488))
% 34.30/34.62  (step @p494 :rule aci_norm :args ((= @t308 @t302)))
% 34.30/34.62  (step @p495 :rule cong :premises (@p494) :args (@t309))
% 34.30/34.62  (step @p496 :rule quant-merge-prenex :args ((= (forall @t16 @t311) @t309)))
% 34.30/34.62  (step @p497 :rule alpha_equiv :args (@t312 (@list @t298) (@list @t10)))
% 34.30/34.62  (step @p498 :rule nary_cong :premises (@p157 @p497) :args (@t313))
% 34.30/34.62  (step @p499 :rule quant-miniscope-or :args ((= @t311 @t313)))
% 34.30/34.62  (step @p500 :rule trans :premises (@p499 @p498))
% 34.30/34.62  (step @p501 :rule symm :premises (@p500))
% 34.30/34.62  (step @p502 :rule cong :premises (@p501) :args (@t317))
% 34.30/34.62  (step @p503 :rule trans :premises (@p502 @p496))
% 34.30/34.62  (step @p504 :rule trans :premises (@p503 @p495))
% 34.30/34.62  (step @p505 :rule refl :args (@t288))
% 34.30/34.62  (step @p506 :rule nary_cong :premises (@p505 @p504) :args (@t318))
% 34.30/34.62  (step @p507 :rule quant-miniscope-or :args ((= (forall @t16 @t319) @t318)))
% 34.30/34.62  (step @p508 :rule aci_norm :args ((= @t320 @t319)))
% 34.30/34.62  (step @p509 :rule cong :premises (@p508) :args ((forall @t16 @t320)))
% 34.30/34.62  (step @p510 :rule trans :premises (@p509 @p507))
% 34.30/34.62  (step @p511 :rule trans :premises (@p510 @p506))
% 34.30/34.62  (step @p512 :rule aci_norm :args ((= (or @t156 @t321) @t320)))
% 34.30/34.62  (step @p513 :rule bool-impl-elim :args (@t15 @t321))
% 34.30/34.62  (step @p514 :rule trans :premises (@p513 @p512))
% 34.30/34.62  (step @p515 :rule cong :premises (@p514) :args ((forall @t16 (=> @t15 @t321))))
% 34.30/34.62  (step @p516 :rule trans :premises (@p515 @p511))
% 34.30/34.62  (step @p517 :rule quant-miniscope-or :args ((= (forall @t14 @t322) @t321)))
% 34.30/34.62  (step @p518 :rule aci_norm :args ((= @t323 @t322)))
% 34.30/34.62  (step @p519 :rule cong :premises (@p518) :args ((forall @t14 @t323)))
% 34.30/34.62  (step @p520 :rule trans :premises (@p519 @p517))
% 34.30/34.62  (step @p521 :rule aci_norm :args ((= (or @t168 (or @t288 @t73)) @t323)))
% 34.30/34.62  (step @p522 :rule bool-impl-elim :args (@t31 @t73))
% 34.30/34.62  (step @p523 :rule nary_cong :premises (@p192 @p522) :args ((or @t168 @t74)))
% 34.30/34.62  (step @p524 :rule trans :premises (@p523 @p521))
% 34.30/34.62  (step @p525 :rule bool-impl-elim :args (@t13 @t74))
% 34.30/34.62  (step @p526 :rule trans :premises (@p525 @p524))
% 34.30/34.62  (step @p527 :rule cong :premises (@p526) :args (@t75))
% 34.30/34.62  (step @p528 :rule trans :premises (@p527 @p520))
% 34.30/34.62  (step @p529 :rule cong :premises (@p242 @p528) :args (@t76))
% 34.30/34.62  (step @p530 :rule cong :premises (@p529) :args (@t77))
% 34.30/34.62  (step @p531 :rule trans :premises (@p530 @p516))
% 34.30/34.62  (step @p532 :rule cong :premises (@p246 @p531) :args (@t78))
% 34.30/34.62  (step @p533 :rule cong :premises (@p532) :args (@t79))
% 34.30/34.62  (step @p534 :rule trans :premises (@p533 @p493))
% 34.30/34.62  (step @p535 :rule cong :premises (@p101 @p534) :args (@t80))
% 34.30/34.62  (step @p536 :rule cong :premises (@p535) :args (@t81))
% 34.30/34.62  (step @p537 :rule trans :premises (@p536 @p475))
% 34.30/34.62  (step @p538 :rule eq_resolve :premises (@p56 @p537))
% 34.30/34.62  (step @p539 :rule instantiate :premises (@p538) :args ((@list @t126 @t126 tptp.nil @t259)))
% 34.30/34.62  (step @p540 :rule bool-double-not-elim :args (@t263))
% 34.30/34.62  (step @p541 :rule nary_cong :premises (@p456 @p540) :args ((or @t265 (not @t264))))
% 34.30/34.62  (step @p542 :rule cnf_or_neg :args (@t265 0))
% 34.30/34.62  (step @p543 :rule eq_resolve :premises (@p542 @p541))
% 34.30/34.62  (step @p544 :rule reordering :premises (@p543) :args ((or @t263 @t265)))
% 34.30/34.62  (step @p545 :rule chain_m_resolution :premises (@p544 @p454) :args (@t263 @t204 @t267))
% 34.30/34.62  (step @p546 :rule cnf_or_pos :args (@t325))
% 34.30/34.62  (step @p547 :rule factoring :premises (@p546))
% 34.30/34.62  (step @p548 :rule reordering :premises (@p547) :args ((or @t228 @t195 @t235 @t264 @t324 (not @t325))))
% 34.30/34.62  (step @p549 :rule chain_m_resolution :premises (@p548 @p17 @p286 @p303 @p545 @p539) :args (@t324 (@list false false false false false) (@list @t48 @t194 @t210 @t263 @t325)))
% 34.30/34.62  (step @p550 :rule refl :args (@t326))
% 34.30/34.62  (step @p551 :rule refl :args (@t262))
% 34.30/34.62  (step @p552 :rule bool-double-not-elim :args (@t236))
% 34.30/34.62  (step @p553 :rule refl :args (@t327))
% 34.30/34.62  (step @p554 :rule nary_cong :premises (@p553 @p552 @p551 @p550) :args ((or @t327 (not @t237) @t262 @t326)))
% 34.30/34.62  (assume-push @p602 @t324)
% 34.30/34.62  (assume-push @p603 @t207)
% 34.30/34.62  (assume-push @p604 @t261)
% 34.30/34.62  (assume-push @p605 @t237)
% 34.30/34.62  (step @p357 :rule evaluate :args (@t233))
% 34.30/34.62  (step @p559 :rule true_intro :premises (@p602))
% 34.30/34.62  (step @p560 :rule refl :args (@t126))
% 34.30/34.62  (step @p561 :rule refl :args (@t259))
% 34.30/34.62  (step @p562 :rule cong :premises (@p289 @p561) :args (@t260))
% 34.30/34.62  (step @p563 :rule trans :premises (@p604 @p562))
% 34.30/34.62  (step @p564 :rule cong :premises (@p563 @p560) :args (@t236))
% 34.30/34.62  (step @p565 :rule false_intro :premises (@p605))
% 34.30/34.62  (step @p566 :rule symm :premises (@p565))
% 34.30/34.62  (step @p567 :rule trans :premises (@p566 @p564 @p559))
% 34.30/34.62  (step @p568 false :rule eq_resolve :premises (@p567 @p357))
% 34.30/34.62  (step-pop @p606 :rule scope :premises (@p568))
% 34.30/34.62  (step-pop @p607 :rule scope :premises (@p606))
% 34.30/34.62  (step-pop @p608 :rule scope :premises (@p607))
% 34.30/34.62  (step-pop @p609 :rule scope :premises (@p608))
% 34.30/34.62  (step @p569 :rule process_scope :premises (@p609) :args (false))
% 34.30/34.62  (assume-push @p610 @t207)
% 34.30/34.62  (assume-push @p611 @t237)
% 34.30/34.62  (assume-push @p612 @t261)
% 34.30/34.62  (assume-push @p613 @t324)
% 34.30/34.62  (step @p578 :rule and_intro :premises (@p613 @p289 @p612 @p611))
% 34.30/34.62  (step-pop @p614 :rule scope :premises (@p578))
% 34.30/34.62  (step-pop @p615 :rule scope :premises (@p614))
% 34.30/34.62  (step-pop @p616 :rule scope :premises (@p615))
% 34.30/34.62  (step-pop @p617 :rule scope :premises (@p616))
% 34.30/34.62  (step @p579 :rule process_scope :premises (@p617) :args (@t328))
% 34.30/34.62  (step @p584 :rule implies_elim :premises (@p579))
% 34.30/34.62  (step @p585 :rule resolution :premises (@p584 @p569) :args (true @t328))
% 34.30/34.62  (step @p586 :rule not_and :premises (@p585))
% 34.30/34.62  (step @p587 :rule eq_resolve :premises (@p586 @p554))
% 34.30/34.62  (step @p588 :rule reordering :premises (@p587) :args ((or @t236 @t327 @t262 @t326)))
% 34.30/34.62  (step @p589 false :rule chain_m_resolution :premises (@p588 @p549 @p461 @p391 @p289) :args (false (@list false false true false) (@list @t324 @t261 @t236 @t207)))
% 34.30/34.62  )
% 34.30/34.62  % SZS output end Proof
% 34.30/34.62  % cvc5 exiting
%------------------------------------------------------------------------------