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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWC418+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 : n011.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 08:59:15 AM UTC 2026

% Result   : Theorem 113.02s 113.25s
% Output   : Proof 113.02s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC418+1 : TPTP v9.2.1. Released v2.4.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n011.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 19:46:20 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.30/0.51  %----Proving TF0_NAR, FOF, or CNF
% 113.02/113.25  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 113.02/113.25  --- Run --no-e-matching --full-saturate-quant at 6...
% 113.02/113.25  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 113.02/113.25  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 113.02/113.25  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 113.02/113.25  --- Run --trigger-sel=max --full-saturate-quant at 15...
% 113.02/113.25  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33...
% 113.02/113.25  --- Run --multi-trigger-cache --full-saturate-quant at 15...
% 113.02/113.25  % SZS status Theorem
% 113.02/113.25  % SZS output start Proof
% 113.02/113.25  (
% 113.02/113.25  (declare-sort $$unsorted 0)
% 113.02/113.25  (declare-const tptp.tl (-> $$unsorted $$unsorted))
% 113.02/113.25  (declare-const tptp.hd (-> $$unsorted $$unsorted))
% 113.02/113.25  (declare-const tptp.duplicatefreeP (-> $$unsorted Bool))
% 113.02/113.25  (declare-const tptp.strictorderedP (-> $$unsorted Bool))
% 113.02/113.25  (declare-const tptp.geq (-> $$unsorted $$unsorted Bool))
% 113.02/113.25  (declare-const tptp.strictorderP (-> $$unsorted Bool))
% 113.02/113.25  (declare-const tptp.equalelemsP (-> $$unsorted Bool))
% 113.02/113.25  (declare-const tptp.totalorderP (-> $$unsorted Bool))
% 113.02/113.25  (declare-const tptp.neq (-> $$unsorted $$unsorted Bool))
% 113.02/113.25  (declare-const tptp.totalorderedP (-> $$unsorted Bool))
% 113.02/113.25  (declare-const tptp.singletonP (-> $$unsorted Bool))
% 113.02/113.25  (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted))
% 113.02/113.25  (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted))
% 113.02/113.25  (declare-const tptp.nil $$unsorted)
% 113.02/113.25  (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool))
% 113.02/113.25  (declare-const tptp.lt (-> $$unsorted $$unsorted Bool))
% 113.02/113.25  (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool))
% 113.02/113.25  (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool))
% 113.02/113.25  (declare-const tptp.gt (-> $$unsorted $$unsorted Bool))
% 113.02/113.25  (declare-const tptp.ssList (-> $$unsorted Bool))
% 113.02/113.25  (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool))
% 113.02/113.25  (declare-const tptp.cyclefreeP (-> $$unsorted Bool))
% 113.02/113.25  (declare-const tptp.ssItem (-> $$unsorted Bool))
% 113.02/113.25  (declare-const tptp.leq (-> $$unsorted $$unsorted Bool))
% 113.02/113.25  (define @t1 () (@var "V" $$unsorted))
% 113.02/113.25  (define @t2 () (@var "U" $$unsorted))
% 113.02/113.25  (define @t3 () (= @t2 @t1))
% 113.02/113.25  (define @t4 () (not @t3))
% 113.02/113.25  (define @t5 () (= (tptp.neq @t2 @t1) @t4))
% 113.02/113.25  (define @t6 () (tptp.ssItem @t1))
% 113.02/113.25  (define @t7 () (@list @t1))
% 113.02/113.25  (define @t8 () (tptp.ssItem @t2))
% 113.02/113.25  (define @t9 () (@list @t2))
% 113.02/113.25  (define @t10 () (@var "X" $$unsorted))
% 113.02/113.25  (define @t11 () (tptp.cons @t1 @t10))
% 113.02/113.25  (define @t12 () (@var "W" $$unsorted))
% 113.02/113.25  (define @t13 () (tptp.ssList @t10))
% 113.02/113.25  (define @t14 () (@list @t10))
% 113.02/113.25  (define @t15 () (tptp.ssList @t12))
% 113.02/113.25  (define @t16 () (@list @t12))
% 113.02/113.25  (define @t17 () (tptp.ssList @t2))
% 113.02/113.25  (define @t18 () (tptp.cons @t1 tptp.nil))
% 113.02/113.25  (define @t19 () (tptp.app @t1 @t12))
% 113.02/113.25  (define @t20 () (tptp.frontsegP @t2 @t1))
% 113.02/113.25  (define @t21 () (tptp.ssList @t1))
% 113.02/113.25  (define @t22 () (tptp.app @t12 @t1))
% 113.02/113.25  (define @t23 () (tptp.rearsegP @t2 @t1))
% 113.02/113.25  (define @t24 () (tptp.segmentP @t2 @t1))
% 113.02/113.25  (define @t25 () (tptp.leq @t12 @t1))
% 113.02/113.25  (define @t26 () (tptp.leq @t1 @t12))
% 113.02/113.25  (define @t27 () (@var "Z" $$unsorted))
% 113.02/113.25  (define @t28 () (@var "Y" $$unsorted))
% 113.02/113.25  (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2))
% 113.02/113.25  (define @t30 () (tptp.ssList @t27))
% 113.02/113.25  (define @t31 () (@list @t27))
% 113.02/113.25  (define @t32 () (tptp.ssList @t28))
% 113.02/113.25  (define @t33 () (@list @t28))
% 113.02/113.25  (define @t34 () (tptp.ssItem @t12))
% 113.02/113.25  (define @t35 () (tptp.lt @t1 @t12))
% 113.02/113.25  (define @t36 () (= @t1 @t12))
% 113.02/113.25  (define @t37 () (forall @t7 (=> @t21 @t5)))
% 113.02/113.25  (define @t38 () (=> @t17 @t37))
% 113.02/113.25  (define @t39 () (forall @t9 @t38))
% 113.02/113.25  (define @t40 () (tptp.cons @t1 @t2))
% 113.02/113.25  (define @t41 () (tptp.ssList @t40))
% 113.02/113.25  (define @t42 () (forall @t7 (=> @t6 @t41)))
% 113.02/113.25  (define @t43 () (=> @t17 @t42))
% 113.02/113.25  (define @t44 () (forall @t9 @t43))
% 113.02/113.25  (define @t45 () (tptp.ssList tptp.nil))
% 113.02/113.25  (define @t46 () (= @t1 @t2))
% 113.02/113.25  (define @t47 () (tptp.cons @t12 @t1))
% 113.02/113.25  (define @t48 () (= tptp.nil @t2))
% 113.02/113.25  (define @t49 () (tptp.hd @t2))
% 113.02/113.25  (define @t50 () (tptp.ssItem @t49))
% 113.02/113.25  (define @t51 () (not @t48))
% 113.02/113.25  (define @t52 () (=> @t51 @t50))
% 113.02/113.25  (define @t53 () (=> @t17 @t52))
% 113.02/113.25  (define @t54 () (forall @t9 @t53))
% 113.02/113.25  (define @t55 () (tptp.tl @t2))
% 113.02/113.25  (define @t56 () (tptp.ssList @t55))
% 113.02/113.25  (define @t57 () (=> @t51 @t56))
% 113.02/113.25  (define @t58 () (=> @t17 @t57))
% 113.02/113.25  (define @t59 () (forall @t9 @t58))
% 113.02/113.25  (define @t60 () (tptp.app @t2 @t1))
% 113.02/113.25  (define @t61 () (tptp.ssList @t60))
% 113.02/113.25  (define @t62 () (forall @t7 (=> @t21 @t61)))
% 113.02/113.25  (define @t63 () (=> @t17 @t62))
% 113.02/113.25  (define @t64 () (forall @t9 @t63))
% 113.02/113.25  (define @t65 () (tptp.app @t1 @t2))
% 113.02/113.25  (define @t66 () (= (tptp.cons @t12 @t65) (tptp.app @t47 @t2)))
% 113.02/113.25  (define @t67 () (forall @t16 (=> @t34 @t66)))
% 113.02/113.25  (define @t68 () (=> @t21 @t67))
% 113.02/113.25  (define @t69 () (forall @t7 @t68))
% 113.02/113.25  (define @t70 () (=> @t17 @t69))
% 113.02/113.25  (define @t71 () (forall @t9 @t70))
% 113.02/113.25  (define @t72 () (tptp.app tptp.nil @t2))
% 113.02/113.25  (define @t73 () (=> @t17 (= @t72 @t2)))
% 113.02/113.25  (define @t74 () (forall @t9 @t73))
% 113.02/113.25  (define @t75 () (tptp.leq @t1 @t2))
% 113.02/113.25  (define @t76 () (tptp.leq @t2 @t1))
% 113.02/113.25  (define @t77 () (tptp.geq @t2 @t1))
% 113.02/113.25  (define @t78 () (tptp.lt @t1 @t2))
% 113.02/113.25  (define @t79 () (tptp.lt @t2 @t1))
% 113.02/113.25  (define @t80 () (tptp.lt @t2 @t12))
% 113.02/113.25  (define @t81 () (tptp.gt @t2 @t1))
% 113.02/113.25  (define @t82 () (tptp.memberP @t12 @t2))
% 113.02/113.25  (define @t83 () (tptp.app @t12 @t2))
% 113.02/113.25  (define @t84 () (tptp.cons @t2 tptp.nil))
% 113.02/113.25  (define @t85 () (tptp.hd @t1))
% 113.02/113.25  (define @t86 () (= tptp.nil @t1))
% 113.02/113.25  (define @t87 () (not @t86))
% 113.02/113.25  (define @t88 () (tptp.cons @t2 @t1))
% 113.02/113.25  (define @t89 () (tptp.tl @t1))
% 113.02/113.25  (define @t90 () (tptp.cons @t49 @t55))
% 113.02/113.25  (define @t91 () (=> @t51 (= @t90 @t2)))
% 113.02/113.25  (define @t92 () (=> @t17 @t91))
% 113.02/113.25  (define @t93 () (forall @t9 @t92))
% 113.02/113.25  (define @t94 () (= @t12 @t2))
% 113.02/113.25  (define @t95 () (tptp.app @t2 tptp.nil))
% 113.02/113.25  (define @t96 () (=> @t17 (= @t95 @t2)))
% 113.02/113.25  (define @t97 () (forall @t9 @t96))
% 113.02/113.25  (define @t98 () (tptp.neq @t10 tptp.nil))
% 113.02/113.25  (define @t99 () (tptp.neq tptp.nil @t10))
% 113.02/113.25  (define @t100 () (@var "X5" $$unsorted))
% 113.02/113.25  (define @t101 () (tptp.hd @t10))
% 113.02/113.25  (define @t102 () (@var "X4" $$unsorted))
% 113.02/113.25  (define @t103 () (tptp.cons @t100 tptp.nil))
% 113.02/113.25  (define @t104 () (tptp.ssItem @t100))
% 113.02/113.25  (define @t105 () (and @t104 (= @t103 @t102) (= @t101 @t100) @t99))
% 113.02/113.25  (define @t106 () (@list @t100))
% 113.02/113.25  (define @t107 () (exists @t106 @t105))
% 113.02/113.25  (define @t108 () (@var "X2" $$unsorted))
% 113.02/113.25  (define @t109 () (@var "X3" $$unsorted))
% 113.02/113.25  (define @t110 () (tptp.app @t109 @t102))
% 113.02/113.25  (define @t111 () (tptp.tl @t10))
% 113.02/113.25  (define @t112 () (tptp.ssList @t102))
% 113.02/113.25  (define @t113 () (and @t112 (= @t111 @t109) (= @t110 @t108) @t107 @t99))
% 113.02/113.25  (define @t114 () (@list @t102))
% 113.02/113.25  (define @t115 () (exists @t114 @t113))
% 113.02/113.25  (define @t116 () (tptp.ssList @t109))
% 113.02/113.25  (define @t117 () (and @t116 @t115))
% 113.02/113.25  (define @t118 () (@list @t109))
% 113.02/113.25  (define @t119 () (exists @t118 @t117))
% 113.02/113.25  (define @t120 () (= @t12 @t108))
% 113.02/113.25  (define @t121 () (not @t120))
% 113.02/113.25  (define @t122 () (tptp.ssList @t108))
% 113.02/113.25  (define @t123 () (and @t122 @t121 @t119))
% 113.02/113.25  (define @t124 () (@list @t108))
% 113.02/113.25  (define @t125 () (exists @t124 @t123))
% 113.02/113.25  (define @t126 () (and @t125 @t98))
% 113.02/113.25  (define @t127 () (not (= tptp.nil @t12)))
% 113.02/113.25  (define @t128 () (and @t127 (= tptp.nil @t10)))
% 113.02/113.25  (define @t129 () (tptp.cons @t28 tptp.nil))
% 113.02/113.25  (define @t130 () (@var "X1" $$unsorted))
% 113.02/113.25  (define @t131 () (tptp.app (tptp.app @t130 @t129) @t27))
% 113.02/113.25  (define @t132 () (tptp.app @t27 @t129))
% 113.02/113.25  (define @t133 () (tptp.app @t132 @t130))
% 113.02/113.25  (define @t134 () (tptp.ssList @t130))
% 113.02/113.25  (define @t135 () (and @t134 (= @t133 @t1) (= @t131 @t2)))
% 113.02/113.25  (define @t136 () (@list @t130))
% 113.02/113.25  (define @t137 () (exists @t136 @t135))
% 113.02/113.25  (define @t138 () (and @t30 @t137))
% 113.02/113.25  (define @t139 () (exists @t31 @t138))
% 113.02/113.25  (define @t140 () (tptp.ssItem @t28))
% 113.02/113.25  (define @t141 () (and @t140 @t139))
% 113.02/113.25  (define @t142 () (exists @t33 @t141))
% 113.02/113.25  (define @t143 () (tptp.neq @t1 tptp.nil))
% 113.02/113.25  (define @t144 () (not @t143))
% 113.02/113.25  (define @t145 () (not (= @t2 @t12)))
% 113.02/113.25  (define @t146 () (not (= @t1 @t10)))
% 113.02/113.25  (define @t147 () (or @t146 @t145 @t144 @t142 @t128 @t126))
% 113.02/113.25  (define @t148 () (=> @t13 @t147))
% 113.02/113.25  (define @t149 () (forall @t14 @t148))
% 113.02/113.25  (define @t150 () (=> @t15 @t149))
% 113.02/113.25  (define @t151 () (forall @t16 @t150))
% 113.02/113.25  (define @t152 () (=> @t21 @t151))
% 113.02/113.25  (define @t153 () (forall @t7 @t152))
% 113.02/113.25  (define @t154 () (=> @t17 @t153))
% 113.02/113.25  (define @t155 () (forall @t9 @t154))
% 113.02/113.25  (define @t156 () (not @t155))
% 113.02/113.25  (define @t157 () (= @t2 tptp.nil))
% 113.02/113.25  (define @t158 () (not @t17))
% 113.02/113.25  (define @t159 () (or @t158 @t157 @t50))
% 113.02/113.25  (define @t160 () (not @t157))
% 113.02/113.25  (define @t161 () (not @t160))
% 113.02/113.25  (define @t162 () (=> @t160 @t50))
% 113.02/113.25  (define @t163 () (@var "BOUND_VARIABLE_11199" $$unsorted))
% 113.02/113.25  (define @t164 () (tptp.neq @t163 tptp.nil))
% 113.02/113.25  (define @t165 () (tptp.hd @t163))
% 113.02/113.25  (define @t166 () (tptp.cons @t165 tptp.nil))
% 113.02/113.25  (define @t167 () (tptp.tl @t163))
% 113.02/113.25  (define @t168 () (tptp.app @t167 @t166))
% 113.02/113.25  (define @t169 () (and (tptp.neq tptp.nil @t163) (tptp.ssItem @t165) (tptp.ssList @t166) (tptp.ssList @t167) (tptp.ssList @t168) (not (= @t2 @t168)) @t164))
% 113.02/113.25  (define @t170 () (@var "BOUND_VARIABLE_11012" $$unsorted))
% 113.02/113.25  (define @t171 () (@var "BOUND_VARIABLE_11014" $$unsorted))
% 113.02/113.25  (define @t172 () (tptp.app (tptp.app @t171 @t129) @t170))
% 113.02/113.25  (define @t173 () (not (= @t2 @t172)))
% 113.02/113.25  (define @t174 () (tptp.app (tptp.app @t170 @t129) @t171))
% 113.02/113.25  (define @t175 () (not (tptp.ssList @t171)))
% 113.02/113.25  (define @t176 () (not (tptp.ssList @t170)))
% 113.02/113.25  (define @t177 () (not @t140))
% 113.02/113.25  (define @t178 () (@list @t28 @t170 @t171))
% 113.02/113.25  (define @t179 () (not @t164))
% 113.02/113.25  (define @t180 () (not (tptp.ssList @t163)))
% 113.02/113.25  (define @t181 () (@list @t2 @t163))
% 113.02/113.25  (define @t182 () (forall @t181 (or @t158 @t180 @t179 (not (forall @t178 (or @t177 @t176 @t175 (not (= @t174 @t163)) @t173))) (and @t160 (= tptp.nil @t163)) @t169)))
% 113.02/113.25  (define @t183 () (@quantifiers_skolemize @t182 1))
% 113.02/113.25  (define @t184 () (tptp.hd @t183))
% 113.02/113.25  (define @t185 () (tptp.ssItem @t184))
% 113.02/113.25  (define @t186 () (tptp.ssList @t183))
% 113.02/113.25  (define @t187 () (not @t186))
% 113.02/113.25  (define @t188 () (= @t183 tptp.nil))
% 113.02/113.25  (define @t189 () (or @t187 @t188 @t185))
% 113.02/113.25  (define @t190 () (forall @t9 @t159))
% 113.02/113.25  (define @t191 () (@list @t183))
% 113.02/113.25  (define @t192 () (= tptp.nil @t183))
% 113.02/113.25  (define @t193 () (or @t187 @t192 @t185))
% 113.02/113.25  (define @t194 () (@list false))
% 113.02/113.25  (define @t195 () (@var "BOUND_VARIABLE_9143" $$unsorted))
% 113.02/113.25  (define @t196 () (= (tptp.neq @t2 @t195) (not (= @t2 @t195))))
% 113.02/113.25  (define @t197 () (not (tptp.ssList @t195)))
% 113.02/113.25  (define @t198 () (or @t158 @t197 @t196))
% 113.02/113.25  (define @t199 () (or @t197 @t196))
% 113.02/113.25  (define @t200 () (or @t158 @t199))
% 113.02/113.25  (define @t201 () (@list @t2 @t195))
% 113.02/113.25  (define @t202 () (forall @t201 @t200))
% 113.02/113.25  (define @t203 () (@list @t195))
% 113.02/113.25  (define @t204 () (forall @t203 @t200))
% 113.02/113.25  (define @t205 () (forall @t203 @t199))
% 113.02/113.25  (define @t206 () (@list @t1))
% 113.02/113.25  (define @t207 () (or @t158 @t205))
% 113.02/113.25  (define @t208 () (not @t21))
% 113.02/113.25  (define @t209 () (forall @t7 (or @t208 @t5)))
% 113.02/113.25  (define @t210 () (not @t188))
% 113.02/113.25  (define @t211 () (tptp.neq @t183 tptp.nil))
% 113.02/113.25  (define @t212 () (= @t211 @t210))
% 113.02/113.25  (define @t213 () (not @t45))
% 113.02/113.25  (define @t214 () (or @t187 @t213 @t212))
% 113.02/113.25  (define @t215 () (forall @t201 @t198))
% 113.02/113.25  (define @t216 () (not @t192))
% 113.02/113.25  (define @t217 () (= @t211 @t216))
% 113.02/113.25  (define @t218 () (or @t187 @t213 @t217))
% 113.02/113.25  (define @t219 () (and @t160 (= @t163 tptp.nil)))
% 113.02/113.25  (define @t220 () (not (= @t163 @t174)))
% 113.02/113.25  (define @t221 () (or @t177 @t176 @t175 @t220 @t173))
% 113.02/113.25  (define @t222 () (forall @t178 @t221))
% 113.02/113.25  (define @t223 () (not @t222))
% 113.02/113.25  (define @t224 () (or @t158 @t180 @t179 @t223 @t219 @t169))
% 113.02/113.25  (define @t225 () (or @t180 @t179 @t223 @t219 @t169))
% 113.02/113.25  (define @t226 () (or @t158 @t225))
% 113.02/113.25  (define @t227 () (forall @t181 @t226))
% 113.02/113.25  (define @t228 () (@list @t163))
% 113.02/113.25  (define @t229 () (forall @t228 @t226))
% 113.02/113.25  (define @t230 () (forall @t228 @t225))
% 113.02/113.25  (define @t231 () (or @t158 @t230))
% 113.02/113.25  (define @t232 () (tptp.cons @t85 tptp.nil))
% 113.02/113.25  (define @t233 () (tptp.app @t89 @t232))
% 113.02/113.25  (define @t234 () (tptp.ssList @t233))
% 113.02/113.25  (define @t235 () (tptp.ssList @t89))
% 113.02/113.25  (define @t236 () (tptp.ssList @t232))
% 113.02/113.25  (define @t237 () (tptp.ssItem @t85))
% 113.02/113.25  (define @t238 () (tptp.neq tptp.nil @t1))
% 113.02/113.25  (define @t239 () (and @t238 @t237 @t236 @t235 @t234 (not (= @t2 @t233)) @t143))
% 113.02/113.25  (define @t240 () (= @t1 tptp.nil))
% 113.02/113.25  (define @t241 () (and @t160 @t240))
% 113.02/113.25  (define @t242 () (not (= @t1 @t174)))
% 113.02/113.25  (define @t243 () (or @t177 @t176 @t175 @t242 @t173))
% 113.02/113.25  (define @t244 () (not (forall @t178 @t243)))
% 113.02/113.25  (define @t245 () (or @t208 @t144 @t244 @t241 @t239))
% 113.02/113.25  (define @t246 () (or @t158 (forall @t7 @t245)))
% 113.02/113.25  (define @t247 () (or @t158 @t245))
% 113.02/113.25  (define @t248 () (or @t208 @t144 @t244 @t158 @t241 @t239))
% 113.02/113.25  (define @t249 () (or @t144 @t244 @t208 @t158 @t241 @t239))
% 113.02/113.25  (define @t250 () (or @t158 @t241 @t239))
% 113.02/113.25  (define @t251 () (not (= @t2 @t2)))
% 113.02/113.25  (define @t252 () (or @t158 @t251 @t241 @t239))
% 113.02/113.25  (define @t253 () (and @t238 @t237 @t236 @t235 @t234 (not (= @t12 @t233)) @t143))
% 113.02/113.25  (define @t254 () (not (= @t12 tptp.nil)))
% 113.02/113.25  (define @t255 () (and @t254 @t240))
% 113.02/113.25  (define @t256 () (not @t15))
% 113.02/113.25  (define @t257 () (or @t145 @t256 @t145 @t255 @t253))
% 113.02/113.25  (define @t258 () (or @t256 @t145 @t255 @t253))
% 113.02/113.25  (define @t259 () (forall @t16 @t258))
% 113.02/113.25  (define @t260 () (or @t144 @t244 @t208 @t259))
% 113.02/113.25  (define @t261 () (or @t144 @t244 @t208 @t258))
% 113.02/113.25  (define @t262 () (or @t256 @t145 @t144 @t244 @t208 @t255 @t253))
% 113.02/113.25  (define @t263 () (or @t145 @t144 @t244 @t208 @t255 @t253))
% 113.02/113.25  (define @t264 () (or @t208 @t255 @t253))
% 113.02/113.25  (define @t265 () (not (= @t1 @t1)))
% 113.02/113.25  (define @t266 () (or @t208 @t265 @t255 @t253))
% 113.02/113.25  (define @t267 () (tptp.cons @t101 tptp.nil))
% 113.02/113.25  (define @t268 () (tptp.app @t111 @t267))
% 113.02/113.25  (define @t269 () (= @t12 @t268))
% 113.02/113.25  (define @t270 () (not @t269))
% 113.02/113.25  (define @t271 () (tptp.ssList @t268))
% 113.02/113.25  (define @t272 () (tptp.ssList @t111))
% 113.02/113.25  (define @t273 () (tptp.ssList @t267))
% 113.02/113.25  (define @t274 () (tptp.ssItem @t101))
% 113.02/113.25  (define @t275 () (and @t99 @t274 @t273 @t272 @t271 @t270 @t98))
% 113.02/113.25  (define @t276 () (and @t254 (= @t10 tptp.nil)))
% 113.02/113.25  (define @t277 () (not @t13))
% 113.02/113.25  (define @t278 () (or @t146 @t277 @t146 @t276 @t275))
% 113.02/113.25  (define @t279 () (or @t277 @t146 @t276 @t275))
% 113.02/113.25  (define @t280 () (forall @t14 @t279))
% 113.02/113.25  (define @t281 () (or @t145 @t144 @t244 @t280))
% 113.02/113.25  (define @t282 () (or @t145 @t144 @t244 @t279))
% 113.02/113.25  (define @t283 () (or @t277 @t146 @t145 @t144 @t244 @t276 @t275))
% 113.02/113.25  (define @t284 () (not @t271))
% 113.02/113.25  (define @t285 () (not @t284))
% 113.02/113.25  (define @t286 () (not @t272))
% 113.02/113.25  (define @t287 () (not @t286))
% 113.02/113.25  (define @t288 () (not @t273))
% 113.02/113.25  (define @t289 () (not @t288))
% 113.02/113.25  (define @t290 () (not @t274))
% 113.02/113.25  (define @t291 () (not @t290))
% 113.02/113.25  (define @t292 () (not @t99))
% 113.02/113.25  (define @t293 () (not @t292))
% 113.02/113.25  (define @t294 () (and @t293 @t291 @t289 @t287 @t285 @t270))
% 113.02/113.25  (define @t295 () (or @t284 @t269))
% 113.02/113.25  (define @t296 () (or @t292 @t290 @t288 @t286 @t284 @t269))
% 113.02/113.25  (define @t297 () (and (not @t296) @t98))
% 113.02/113.25  (define @t298 () (or @t146 @t145 @t144 @t244 @t276 @t297))
% 113.02/113.25  (define @t299 () (not (= @t268 @t268)))
% 113.02/113.25  (define @t300 () (or @t284 @t269 @t299))
% 113.02/113.25  (define @t301 () (not (= @t108 @t268)))
% 113.02/113.25  (define @t302 () (not @t122))
% 113.02/113.25  (define @t303 () (or @t301 @t302 @t120 @t301))
% 113.02/113.25  (define @t304 () (or @t302 @t120 @t301))
% 113.02/113.25  (define @t305 () (forall @t124 @t304))
% 113.02/113.25  (define @t306 () (or @t292 @t290 @t288 @t286 @t305))
% 113.02/113.25  (define @t307 () (or @t292 @t290 @t288 @t286 @t304))
% 113.02/113.25  (define @t308 () (or @t302 @t120 @t292 @t290 @t288 @t286 @t301))
% 113.02/113.25  (define @t309 () (or @t292 @t290 @t288 @t286 @t301))
% 113.02/113.25  (define @t310 () (not @t309))
% 113.02/113.25  (define @t311 () (not @t310))
% 113.02/113.25  (define @t312 () (not @t121))
% 113.02/113.25  (define @t313 () (or @t302 @t312 @t311))
% 113.02/113.25  (define @t314 () (and @t122 @t121 @t310))
% 113.02/113.25  (define @t315 () (forall @t124 (not @t314)))
% 113.02/113.25  (define @t316 () (not @t315))
% 113.02/113.25  (define @t317 () (or @t286 @t301))
% 113.02/113.25  (define @t318 () (not (= @t111 @t111)))
% 113.02/113.25  (define @t319 () (or @t286 @t318 @t301))
% 113.02/113.25  (define @t320 () (not (= @t108 (tptp.app @t109 @t267))))
% 113.02/113.25  (define @t321 () (= @t109 @t111))
% 113.02/113.25  (define @t322 () (not @t321))
% 113.02/113.25  (define @t323 () (not @t116))
% 113.02/113.25  (define @t324 () (or @t322 @t323 @t322 @t320))
% 113.02/113.25  (define @t325 () (or @t323 @t322 @t320))
% 113.02/113.25  (define @t326 () (forall @t118 @t325))
% 113.02/113.25  (define @t327 () (or @t292 @t290 @t288 @t326))
% 113.02/113.25  (define @t328 () (or @t292 @t290 @t288 @t325))
% 113.02/113.25  (define @t329 () (or @t323 @t322 @t292 @t290 @t288 @t320))
% 113.02/113.25  (define @t330 () (or @t322 @t292 @t290 @t288 @t320))
% 113.02/113.25  (define @t331 () (not @t330))
% 113.02/113.25  (define @t332 () (and @t116 @t331))
% 113.02/113.25  (define @t333 () (forall @t118 (not @t332)))
% 113.02/113.25  (define @t334 () (not @t333))
% 113.02/113.25  (define @t335 () (or @t288 @t320))
% 113.02/113.25  (define @t336 () (not (= @t267 @t267)))
% 113.02/113.25  (define @t337 () (or @t288 @t320 @t336))
% 113.02/113.25  (define @t338 () (not (= @t102 @t267)))
% 113.02/113.25  (define @t339 () (= @t108 @t110))
% 113.02/113.25  (define @t340 () (not @t339))
% 113.02/113.25  (define @t341 () (not @t112))
% 113.02/113.25  (define @t342 () (or @t338 @t341 @t340 @t338))
% 113.02/113.25  (define @t343 () (or @t341 @t340 @t338))
% 113.02/113.25  (define @t344 () (forall @t114 @t343))
% 113.02/113.25  (define @t345 () (or @t322 @t292 @t290 @t344))
% 113.02/113.25  (define @t346 () (or @t322 @t292 @t290 @t343))
% 113.02/113.25  (define @t347 () (or @t341 @t322 @t340 @t292 @t290 @t338))
% 113.02/113.25  (define @t348 () (or @t292 @t290 @t338))
% 113.02/113.25  (define @t349 () (not @t348))
% 113.02/113.25  (define @t350 () (not @t349))
% 113.02/113.25  (define @t351 () (or @t341 @t322 @t340 @t350 @t292))
% 113.02/113.25  (define @t352 () (and @t112 @t321 @t339 @t349 @t99))
% 113.02/113.25  (define @t353 () (forall @t114 (not @t352)))
% 113.02/113.25  (define @t354 () (not @t353))
% 113.02/113.25  (define @t355 () (or @t290 @t338))
% 113.02/113.25  (define @t356 () (not (= @t101 @t101)))
% 113.02/113.25  (define @t357 () (or @t290 @t338 @t356))
% 113.02/113.25  (define @t358 () (= @t100 @t101))
% 113.02/113.25  (define @t359 () (not @t358))
% 113.02/113.25  (define @t360 () (= @t102 @t103))
% 113.02/113.25  (define @t361 () (not @t360))
% 113.02/113.25  (define @t362 () (not @t104))
% 113.02/113.25  (define @t363 () (or @t359 @t362 @t361 @t359))
% 113.02/113.25  (define @t364 () (or @t362 @t361 @t359))
% 113.02/113.25  (define @t365 () (forall @t106 @t364))
% 113.02/113.25  (define @t366 () (or @t292 @t365))
% 113.02/113.25  (define @t367 () (or @t292 @t364))
% 113.02/113.25  (define @t368 () (or @t362 @t361 @t359 @t292))
% 113.02/113.25  (define @t369 () (and @t104 @t360 @t358 @t99))
% 113.02/113.25  (define @t370 () (forall @t106 (not @t369)))
% 113.02/113.25  (define @t371 () (not @t370))
% 113.02/113.25  (define @t372 () (or @t176 @t175 @t242 @t173))
% 113.02/113.25  (define @t373 () (or @t177 @t372))
% 113.02/113.25  (define @t374 () (forall @t178 @t373))
% 113.02/113.25  (define @t375 () (@list @t170 @t171))
% 113.02/113.25  (define @t376 () (forall @t375 @t373))
% 113.02/113.25  (define @t377 () (forall @t375 @t372))
% 113.02/113.25  (define @t378 () (@var "BOUND_VARIABLE_10986" $$unsorted))
% 113.02/113.25  (define @t379 () (or @t177 @t377))
% 113.02/113.25  (define @t380 () (not (= @t2 (tptp.app (tptp.app @t378 @t129) @t27))))
% 113.02/113.25  (define @t381 () (not (= @t1 (tptp.app @t132 @t378))))
% 113.02/113.25  (define @t382 () (not (tptp.ssList @t378)))
% 113.02/113.25  (define @t383 () (not @t30))
% 113.02/113.25  (define @t384 () (or @t383 @t382 @t381 @t380))
% 113.02/113.25  (define @t385 () (@list @t27 @t378))
% 113.02/113.25  (define @t386 () (forall @t385 @t384))
% 113.02/113.25  (define @t387 () (not @t386))
% 113.02/113.25  (define @t388 () (and @t140 @t387))
% 113.02/113.25  (define @t389 () (forall @t33 (not @t388)))
% 113.02/113.25  (define @t390 () (not @t389))
% 113.02/113.25  (define @t391 () (or @t382 @t381 @t380))
% 113.02/113.25  (define @t392 () (or @t383 @t391))
% 113.02/113.25  (define @t393 () (forall @t385 @t392))
% 113.02/113.25  (define @t394 () (@list @t378))
% 113.02/113.25  (define @t395 () (forall @t394 @t392))
% 113.02/113.25  (define @t396 () (forall @t394 @t391))
% 113.02/113.25  (define @t397 () (or @t383 @t396))
% 113.02/113.25  (define @t398 () (= @t2 @t131))
% 113.02/113.25  (define @t399 () (not @t398))
% 113.02/113.25  (define @t400 () (= @t1 @t133))
% 113.02/113.25  (define @t401 () (not @t400))
% 113.02/113.25  (define @t402 () (not @t134))
% 113.02/113.25  (define @t403 () (or @t402 @t401 @t399))
% 113.02/113.25  (define @t404 () (forall @t136 @t403))
% 113.02/113.25  (define @t405 () (not @t404))
% 113.02/113.25  (define @t406 () (and @t30 @t405))
% 113.02/113.25  (define @t407 () (forall @t31 (not @t406)))
% 113.02/113.25  (define @t408 () (not @t407))
% 113.02/113.25  (define @t409 () (and @t134 @t400 @t398))
% 113.02/113.25  (define @t410 () (forall @t136 (not @t409)))
% 113.02/113.25  (define @t411 () (not @t410))
% 113.02/113.25  (define @t412 () (tptp.cons @t184 tptp.nil))
% 113.02/113.25  (define @t413 () (tptp.tl @t183))
% 113.02/113.25  (define @t414 () (tptp.app @t413 @t412))
% 113.02/113.25  (define @t415 () (@quantifiers_skolemize @t182 0))
% 113.02/113.25  (define @t416 () (= @t415 @t414))
% 113.02/113.25  (define @t417 () (not @t416))
% 113.02/113.25  (define @t418 () (tptp.ssList @t414))
% 113.02/113.25  (define @t419 () (tptp.ssList @t413))
% 113.02/113.25  (define @t420 () (tptp.ssList @t412))
% 113.02/113.25  (define @t421 () (tptp.neq tptp.nil @t183))
% 113.02/113.25  (define @t422 () (and @t421 @t185 @t420 @t419 @t418 @t417 @t211))
% 113.02/113.25  (define @t423 () (not (= @t174 @t183)))
% 113.02/113.25  (define @t424 () (forall @t178 (or @t177 @t176 @t175 @t423 (not (= @t172 @t415)))))
% 113.02/113.25  (define @t425 () (not @t424))
% 113.02/113.25  (define @t426 () (not @t211))
% 113.02/113.25  (define @t427 () (tptp.ssList @t415))
% 113.02/113.25  (define @t428 () (not @t427))
% 113.02/113.25  (define @t429 () (or @t428 @t187 @t426 @t425 (and (not (= tptp.nil @t415)) @t192) @t422))
% 113.02/113.25  (define @t430 () (not @t429))
% 113.02/113.25  (define @t431 () (not @t182))
% 113.02/113.25  (define @t432 () (not (= @t415 tptp.nil)))
% 113.02/113.25  (define @t433 () (and @t432 @t192))
% 113.02/113.25  (define @t434 () (not (= @t415 @t172)))
% 113.02/113.25  (define @t435 () (or @t177 @t176 @t175 @t423 @t434))
% 113.02/113.25  (define @t436 () (forall @t178 @t435))
% 113.02/113.25  (define @t437 () (not @t436))
% 113.02/113.25  (define @t438 () (or @t428 @t187 @t426 @t437 @t433 @t422))
% 113.02/113.25  (define @t439 () (not @t438))
% 113.02/113.25  (define @t440 () (@list true))
% 113.02/113.25  (define @t441 () (@list @t429))
% 113.02/113.25  (define @t442 () (@list false false false))
% 113.02/113.25  (define @t443 () (@list false false))
% 113.02/113.25  (define @t444 () (@list false true false))
% 113.02/113.25  (define @t445 () (or @t158 @t157 @t56))
% 113.02/113.25  (define @t446 () (=> @t160 @t56))
% 113.02/113.25  (define @t447 () (or @t187 @t188 @t419))
% 113.02/113.25  (define @t448 () (forall @t9 @t445))
% 113.02/113.25  (define @t449 () (or @t187 @t192 @t419))
% 113.02/113.25  (define @t450 () (tptp.app @t414 tptp.nil))
% 113.02/113.25  (define @t451 () (not (= @t450 @t415)))
% 113.02/113.25  (define @t452 () (tptp.app tptp.nil @t412))
% 113.02/113.25  (define @t453 () (tptp.app @t452 @t413))
% 113.02/113.25  (define @t454 () (not (= @t453 @t183)))
% 113.02/113.25  (define @t455 () (not @t419))
% 113.02/113.25  (define @t456 () (not @t185))
% 113.02/113.25  (define @t457 () (or @t456 @t213 @t455 @t454 @t451))
% 113.02/113.25  (define @t458 () (= @t415 @t450))
% 113.02/113.25  (define @t459 () (not @t458))
% 113.02/113.25  (define @t460 () (= @t183 @t453))
% 113.02/113.25  (define @t461 () (not @t460))
% 113.02/113.25  (define @t462 () (or @t456 @t213 @t455 @t461 @t459))
% 113.02/113.25  (define @t463 () (@var "BOUND_VARIABLE_9408" $$unsorted))
% 113.02/113.25  (define @t464 () (tptp.ssList (tptp.app @t2 @t463)))
% 113.02/113.25  (define @t465 () (not (tptp.ssList @t463)))
% 113.02/113.25  (define @t466 () (or @t465 @t464))
% 113.02/113.25  (define @t467 () (or @t158 @t466))
% 113.02/113.25  (define @t468 () (forall (@list @t2 @t463) @t467))
% 113.02/113.25  (define @t469 () (@list @t463))
% 113.02/113.25  (define @t470 () (forall @t469 @t467))
% 113.02/113.25  (define @t471 () (forall @t469 @t466))
% 113.02/113.25  (define @t472 () (or @t158 @t471))
% 113.02/113.25  (define @t473 () (forall @t7 (or @t208 @t61)))
% 113.02/113.25  (define @t474 () (@var "BOUND_VARIABLE_9164" $$unsorted))
% 113.02/113.25  (define @t475 () (tptp.ssList (tptp.cons @t474 @t2)))
% 113.02/113.25  (define @t476 () (not (tptp.ssItem @t474)))
% 113.02/113.25  (define @t477 () (or @t476 @t475))
% 113.02/113.25  (define @t478 () (or @t158 @t477))
% 113.02/113.25  (define @t479 () (forall (@list @t2 @t474) @t478))
% 113.02/113.25  (define @t480 () (@list @t474))
% 113.02/113.25  (define @t481 () (forall @t480 @t478))
% 113.02/113.25  (define @t482 () (forall @t480 @t477))
% 113.02/113.25  (define @t483 () (or @t158 @t482))
% 113.02/113.25  (define @t484 () (forall @t7 (or (not @t6) @t41)))
% 113.02/113.25  (define @t485 () (or @t213 @t456 @t420))
% 113.02/113.25  (define @t486 () (not @t420))
% 113.02/113.25  (define @t487 () (or @t455 @t486 @t418))
% 113.02/113.25  (define @t488 () (= @t421 @t216))
% 113.02/113.25  (define @t489 () (or @t213 @t187 @t488))
% 113.02/113.25  (define @t490 () (not @t488))
% 113.02/113.25  (define @t491 () (not @t418))
% 113.02/113.25  (define @t492 () (not @t421))
% 113.02/113.25  (define @t493 () (tptp.app @t415 tptp.nil))
% 113.02/113.25  (define @t494 () (= @t2 @t95))
% 113.02/113.25  (define @t495 () (= @t415 @t493))
% 113.02/113.25  (define @t496 () (or @t428 @t495))
% 113.02/113.25  (define @t497 () (= @t2 @t72))
% 113.02/113.25  (define @t498 () (= @t412 @t452))
% 113.02/113.25  (define @t499 () (or @t486 @t498))
% 113.02/113.25  (define @t500 () (tptp.app @t412 @t413))
% 113.02/113.25  (define @t501 () (@var "BOUND_VARIABLE_9445" $$unsorted))
% 113.02/113.25  (define @t502 () (@var "BOUND_VARIABLE_9447" $$unsorted))
% 113.02/113.25  (define @t503 () (= (tptp.cons @t502 (tptp.app @t501 @t2)) (tptp.app (tptp.cons @t502 @t501) @t2)))
% 113.02/113.25  (define @t504 () (not (tptp.ssItem @t502)))
% 113.02/113.25  (define @t505 () (not (tptp.ssList @t501)))
% 113.02/113.25  (define @t506 () (or @t158 @t505 @t504 @t503))
% 113.02/113.25  (define @t507 () (or @t505 @t504 @t503))
% 113.02/113.25  (define @t508 () (or @t158 @t507))
% 113.02/113.25  (define @t509 () (@list @t2 @t501 @t502))
% 113.02/113.25  (define @t510 () (forall @t509 @t508))
% 113.02/113.25  (define @t511 () (@list @t501 @t502))
% 113.02/113.25  (define @t512 () (forall @t511 @t508))
% 113.02/113.25  (define @t513 () (forall @t511 @t507))
% 113.02/113.25  (define @t514 () (@var "BOUND_VARIABLE_9427" $$unsorted))
% 113.02/113.25  (define @t515 () (or @t158 @t513))
% 113.02/113.25  (define @t516 () (= (tptp.cons @t514 @t65) (tptp.app (tptp.cons @t514 @t1) @t2)))
% 113.02/113.25  (define @t517 () (not (tptp.ssItem @t514)))
% 113.02/113.25  (define @t518 () (or @t208 @t517 @t516))
% 113.02/113.25  (define @t519 () (@list @t1 @t514))
% 113.02/113.25  (define @t520 () (forall @t519 @t518))
% 113.02/113.25  (define @t521 () (or @t517 @t516))
% 113.02/113.25  (define @t522 () (or @t208 @t521))
% 113.02/113.25  (define @t523 () (forall @t519 @t522))
% 113.02/113.25  (define @t524 () (@list @t514))
% 113.02/113.25  (define @t525 () (forall @t524 @t522))
% 113.02/113.25  (define @t526 () (forall @t524 @t521))
% 113.02/113.25  (define @t527 () (or @t208 @t526))
% 113.02/113.25  (define @t528 () (forall @t16 (or (not @t34) @t66)))
% 113.02/113.25  (define @t529 () (tptp.app tptp.nil @t413))
% 113.02/113.25  (define @t530 () (tptp.cons @t184 @t529))
% 113.02/113.25  (define @t531 () (or @t455 @t213 @t456 (= @t530 @t500)))
% 113.02/113.25  (define @t532 () (forall @t509 @t506))
% 113.02/113.25  (define @t533 () (= @t500 @t530))
% 113.02/113.25  (define @t534 () (or @t455 @t213 @t456 @t533))
% 113.02/113.25  (define @t535 () (= @t413 @t529))
% 113.02/113.25  (define @t536 () (or @t455 @t535))
% 113.02/113.25  (define @t537 () (tptp.cons @t184 @t413))
% 113.02/113.25  (define @t538 () (= @t2 @t90))
% 113.02/113.25  (define @t539 () (or @t158 @t157 @t538))
% 113.02/113.25  (define @t540 () (=> @t160 @t538))
% 113.02/113.25  (define @t541 () (= @t183 @t537))
% 113.02/113.25  (define @t542 () (or @t187 @t188 @t541))
% 113.02/113.25  (define @t543 () (forall @t9 @t539))
% 113.02/113.25  (define @t544 () (or @t187 @t192 @t541))
% 113.02/113.25  (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5)))))
% 113.02/113.25  (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4)))))
% 113.02/113.25  (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)))))))))))
% 113.02/113.25  (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2)))))))
% 113.02/113.25  (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2)))))))))
% 113.02/113.25  (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2)))))))))
% 113.02/113.25  (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2)))))))))))
% 113.02/113.25  (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)))))))))))))))))
% 113.02/113.25  (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))))))))))))))))
% 113.02/113.25  (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)))))))))))))))))
% 113.02/113.25  (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)))))))))))))))
% 113.02/113.25  (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)))))))))))))))
% 113.02/113.25  (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))))))))))))))))
% 113.02/113.25  (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)))))))))))))
% 113.02/113.25  (assume @p15 @t39)
% 113.02/113.25  (assume @p16 @t44)
% 113.02/113.25  (assume @p17 @t45)
% 113.02/113.25  (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2)))))))
% 113.02/113.25  (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) @t46)))))))))))
% 113.02/113.25  (assume @p20 (forall @t9 (=> @t17 (or @t48 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t47 @t2)))))))))
% 113.02/113.25  (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40)))))))
% 113.02/113.25  (assume @p22 @t54)
% 113.02/113.25  (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1))))))
% 113.02/113.25  (assume @p24 @t59)
% 113.02/113.25  (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2))))))
% 113.02/113.25  (assume @p26 @t64)
% 113.02/113.25  (assume @p27 @t71)
% 113.02/113.25  (assume @p28 @t74)
% 113.02/113.25  (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t76 @t75) @t3))))))
% 113.02/113.25  (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t76 @t26) (tptp.leq @t2 @t12)))))))))
% 113.02/113.25  (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2))))
% 113.02/113.25  (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t77 @t75))))))
% 113.02/113.25  (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t79 (not @t78)))))))
% 113.02/113.25  (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t79 @t35) @t80))))))))
% 113.02/113.25  (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t81 @t78))))))
% 113.02/113.25  (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t82)))))))))
% 113.02/113.25  (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t82)))))))))
% 113.02/113.25  (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2)))))
% 113.02/113.25  (assume @p39 (not (tptp.singletonP tptp.nil)))
% 113.02/113.25  (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12)))))))))
% 113.02/113.25  (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3))))))
% 113.02/113.25  (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2))))
% 113.02/113.25  (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1)))))))))
% 113.02/113.25  (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))))))))))))
% 113.02/113.25  (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil))))
% 113.02/113.25  (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t48))))
% 113.02/113.25  (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12)))))))))
% 113.02/113.25  (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3))))))
% 113.02/113.25  (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2))))
% 113.02/113.25  (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t83 @t1)))))))))
% 113.02/113.25  (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil))))
% 113.02/113.25  (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t48))))
% 113.02/113.25  (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12)))))))))
% 113.02/113.25  (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3))))))
% 113.02/113.25  (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2))))
% 113.02/113.25  (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t83 @t10) @t1)))))))))))
% 113.02/113.25  (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil))))
% 113.02/113.25  (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t48))))
% 113.02/113.25  (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t84))))
% 113.02/113.25  (assume @p60 (tptp.cyclefreeP tptp.nil))
% 113.02/113.25  (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t84))))
% 113.02/113.25  (assume @p62 (tptp.totalorderP tptp.nil))
% 113.02/113.25  (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t84))))
% 113.02/113.25  (assume @p64 (tptp.strictorderP tptp.nil))
% 113.02/113.25  (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t84))))
% 113.02/113.25  (assume @p66 (tptp.totalorderedP tptp.nil))
% 113.02/113.25  (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t88) (or @t86 (and @t87 (tptp.totalorderedP @t1) (tptp.leq @t2 @t85)))))))))
% 113.02/113.25  (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t84))))
% 113.02/113.25  (assume @p69 (tptp.strictorderedP tptp.nil))
% 113.02/113.25  (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t88) (or @t86 (and @t87 (tptp.strictorderedP @t1) (tptp.lt @t2 @t85)))))))))
% 113.02/113.25  (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t84))))
% 113.02/113.25  (assume @p72 (tptp.duplicatefreeP tptp.nil))
% 113.02/113.25  (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t84))))
% 113.02/113.25  (assume @p74 (tptp.equalelemsP tptp.nil))
% 113.02/113.25  (assume @p75 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t6 (= @t49 @t1)))))))
% 113.02/113.25  (assume @p76 (forall @t9 (=> @t17 (=> @t51 (exists @t7 (and @t21 (= @t55 @t1)))))))
% 113.02/113.25  (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t87 @t51 (= @t85 @t49) (= @t89 @t55)) @t46))))))
% 113.02/113.25  (assume @p78 @t93)
% 113.02/113.25  (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t60) @t94))))))))
% 113.02/113.25  (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t65) @t94))))))))
% 113.02/113.25  (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2)))))))
% 113.02/113.25  (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t60 @t12) (tptp.app @t2 @t19)))))))))
% 113.02/113.25  (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t60) (and @t86 @t48)))))))
% 113.02/113.25  (assume @p84 @t97)
% 113.02/113.25  (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.hd @t60) @t49)))))))
% 113.02/113.25  (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t51 (= (tptp.tl @t60) (tptp.app @t55 @t1))))))))
% 113.02/113.25  (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t77 (tptp.geq @t1 @t2)) @t3))))))
% 113.02/113.25  (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t77 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12)))))))))
% 113.02/113.25  (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2))))
% 113.02/113.25  (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2)))))
% 113.02/113.25  (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t76 @t35) @t80))))))))
% 113.02/113.25  (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t76 (or @t3 @t79)))))))
% 113.02/113.25  (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t79 (and @t4 @t76)))))))
% 113.02/113.25  (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t81 (not (tptp.gt @t1 @t2))))))))
% 113.02/113.25  (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t81 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12)))))))))
% 113.02/113.25  (assume @p96 @t156)
% 113.02/113.25  (assume @p97 true)
% 113.02/113.25  (step @p98 :rule aci_norm :args ((= (or @t158 (or @t157 @t50)) @t159)))
% 113.02/113.25  (step @p99 :rule refl :args (@t50))
% 113.02/113.25  (step @p100 :rule bool-double-not-elim :args (@t157))
% 113.02/113.25  (step @p101 :rule nary_cong :premises (@p100 @p99) :args ((or @t161 @t50)))
% 113.02/113.25  (step @p102 :rule bool-impl-elim :args (@t160 @t50))
% 113.02/113.25  (step @p103 :rule trans :premises (@p102 @p101))
% 113.02/113.25  (step @p104 :rule refl :args (@t158))
% 113.02/113.25  (step @p105 :rule nary_cong :premises (@p104 @p103) :args ((or @t158 @t162)))
% 113.02/113.25  (step @p106 :rule trans :premises (@p105 @p98))
% 113.02/113.25  (step @p107 :rule bool-impl-elim :args (@t17 @t162))
% 113.02/113.25  (step @p108 :rule trans :premises (@p107 @p106))
% 113.02/113.25  (step @p109 :rule cong :premises (@p108) :args ((forall @t9 (=> @t17 @t162))))
% 113.02/113.25  (step @p110 :rule refl :args (@t50))
% 113.02/113.25  (step @p111 :rule eq-symm :args (tptp.nil @t2))
% 113.02/113.25  (step @p112 :rule cong :premises (@p111) :args (@t51))
% 113.02/113.25  (step @p113 :rule cong :premises (@p112 @p110) :args (@t52))
% 113.02/113.25  (step @p114 :rule refl :args (@t17))
% 113.02/113.25  (step @p115 :rule cong :premises (@p114 @p113) :args (@t53))
% 113.02/113.25  (step @p116 :rule cong :premises (@p115) :args (@t54))
% 113.02/113.25  (step @p117 :rule trans :premises (@p116 @p109))
% 113.02/113.25  (step @p118 :rule eq_resolve :premises (@p22 @p117))
% 113.02/113.25  (step @p119 :rule refl :args (@t185))
% 113.02/113.25  (step @p120 :rule eq-symm :args (@t183 tptp.nil))
% 113.02/113.25  (step @p121 :rule refl :args (@t187))
% 113.02/113.25  (step @p122 :rule nary_cong :premises (@p121 @p120 @p119) :args (@t189))
% 113.02/113.25  (step @p123 :rule refl :args (@t190))
% 113.02/113.25  (step @p124 :rule cong :premises (@p123 @p122) :args ((=> @t190 @t189)))
% 113.02/113.25  (assume-push @p889 @t190)
% 113.02/113.25  (step @p126 :rule instantiate :premises (@p118) :args (@t191))
% 113.02/113.25  (step-pop @p890 :rule scope :premises (@p126))
% 113.02/113.25  (step @p127 :rule process_scope :premises (@p890) :args (@t189))
% 113.02/113.25  (step @p129 :rule eq_resolve :premises (@p127 @p124))
% 113.02/113.25  (step @p130 :rule implies_elim :premises (@p129))
% 113.02/113.25  (step @p131 :rule chain_m_resolution :premises (@p130 @p118) :args (@t193 @t194 (@list @t190)))
% 113.02/113.25  (step @p132 :rule aci_norm :args ((= @t200 @t198)))
% 113.02/113.25  (step @p133 :rule cong :premises (@p132) :args (@t202))
% 113.02/113.25  (step @p134 :rule quant-merge-prenex :args ((= (forall @t9 @t204) @t202)))
% 113.02/113.25  (step @p135 :rule alpha_equiv :args (@t205 (@list @t195) @t206))
% 113.02/113.25  (step @p136 :rule nary_cong :premises (@p104 @p135) :args (@t207))
% 113.02/113.25  (step @p137 :rule quant-miniscope-or :args ((= @t204 @t207)))
% 113.02/113.25  (step @p138 :rule trans :premises (@p137 @p136))
% 113.02/113.25  (step @p139 :rule symm :premises (@p138))
% 113.02/113.25  (step @p140 :rule cong :premises (@p139) :args ((forall @t9 (or @t158 @t209))))
% 113.02/113.25  (step @p141 :rule trans :premises (@p140 @p134))
% 113.02/113.25  (step @p142 :rule trans :premises (@p141 @p133))
% 113.02/113.25  (step @p143 :rule bool-impl-elim :args (@t17 @t209))
% 113.02/113.25  (step @p144 :rule cong :premises (@p143) :args ((forall @t9 (=> @t17 @t209))))
% 113.02/113.25  (step @p145 :rule trans :premises (@p144 @p142))
% 113.02/113.25  (step @p146 :rule bool-impl-elim :args (@t21 @t5))
% 113.02/113.25  (step @p147 :rule cong :premises (@p146) :args (@t37))
% 113.02/113.25  (step @p148 :rule cong :premises (@p114 @p147) :args (@t38))
% 113.02/113.25  (step @p149 :rule cong :premises (@p148) :args (@t39))
% 113.02/113.25  (step @p150 :rule trans :premises (@p149 @p145))
% 113.02/113.25  (step @p151 :rule eq_resolve :premises (@p15 @p150))
% 113.02/113.25  (step @p152 :rule cong :premises (@p120) :args (@t210))
% 113.02/113.25  (step @p153 :rule refl :args (@t211))
% 113.02/113.25  (step @p154 :rule cong :premises (@p153 @p152) :args (@t212))
% 113.02/113.25  (step @p155 :rule refl :args (@t213))
% 113.02/113.25  (step @p156 :rule nary_cong :premises (@p121 @p155 @p154) :args (@t214))
% 113.02/113.25  (step @p157 :rule refl :args (@t215))
% 113.02/113.25  (step @p158 :rule cong :premises (@p157 @p156) :args ((=> @t215 @t214)))
% 113.02/113.25  (assume-push @p891 @t215)
% 113.02/113.25  (step @p160 :rule instantiate :premises (@p151) :args ((@list @t183 tptp.nil)))
% 113.02/113.25  (step-pop @p892 :rule scope :premises (@p160))
% 113.02/113.25  (step @p161 :rule process_scope :premises (@p892) :args (@t214))
% 113.02/113.25  (step @p163 :rule eq_resolve :premises (@p161 @p158))
% 113.02/113.25  (step @p164 :rule implies_elim :premises (@p163))
% 113.02/113.25  (step @p165 :rule chain_m_resolution :premises (@p164 @p151) :args (@t218 @t194 (@list @t215)))
% 113.02/113.25  (step @p166 :rule refl :args (@t169))
% 113.02/113.25  (step @p167 :rule eq-symm :args (@t163 tptp.nil))
% 113.02/113.25  (step @p168 :rule refl :args (@t160))
% 113.02/113.25  (step @p169 :rule nary_cong :premises (@p168 @p167) :args (@t219))
% 113.02/113.25  (step @p170 :rule refl :args (@t173))
% 113.02/113.25  (step @p171 :rule eq-symm :args (@t163 @t174))
% 113.02/113.25  (step @p172 :rule cong :premises (@p171) :args (@t220))
% 113.02/113.25  (step @p173 :rule refl :args (@t175))
% 113.02/113.25  (step @p174 :rule refl :args (@t176))
% 113.02/113.25  (step @p175 :rule refl :args (@t177))
% 113.02/113.25  (step @p176 :rule nary_cong :premises (@p175 @p174 @p173 @p172 @p170) :args (@t221))
% 113.02/113.25  (step @p177 :rule cong :premises (@p176) :args (@t222))
% 113.02/113.25  (step @p178 :rule cong :premises (@p177) :args (@t223))
% 113.02/113.25  (step @p179 :rule refl :args (@t179))
% 113.02/113.25  (step @p180 :rule refl :args (@t180))
% 113.02/113.25  (step @p181 :rule refl :args (@t158))
% 113.02/113.25  (step @p182 :rule nary_cong :premises (@p181 @p180 @p179 @p178 @p169 @p166) :args (@t224))
% 113.02/113.25  (step @p183 :rule aci_norm :args ((= @t226 @t224)))
% 113.02/113.25  (step @p184 :rule trans :premises (@p183 @p182))
% 113.02/113.25  (step @p185 :rule cong :premises (@p184) :args (@t227))
% 113.02/113.25  (step @p186 :rule quant-merge-prenex :args ((= (forall @t9 @t229) @t227)))
% 113.02/113.25  (step @p187 :rule alpha_equiv :args (@t230 (@list @t163) @t206))
% 113.02/113.25  (step @p188 :rule nary_cong :premises (@p104 @p187) :args (@t231))
% 113.02/113.25  (step @p189 :rule quant-miniscope-or :args ((= @t229 @t231)))
% 113.02/113.25  (step @p190 :rule trans :premises (@p189 @p188))
% 113.02/113.25  (step @p191 :rule symm :premises (@p190))
% 113.02/113.25  (step @p192 :rule cong :premises (@p191) :args ((forall @t9 @t246)))
% 113.02/113.25  (step @p193 :rule trans :premises (@p192 @p186))
% 113.02/113.25  (step @p194 :rule trans :premises (@p193 @p185))
% 113.02/113.25  (step @p195 :rule aci_norm :args ((= (or @t158 @t246) @t246)))
% 113.02/113.25  (step @p196 :rule bool-impl-elim :args (@t17 @t246))
% 113.02/113.25  (step @p197 :rule trans :premises (@p196 @p195))
% 113.02/113.25  (step @p198 :rule cong :premises (@p197) :args ((forall @t9 (=> @t17 @t246))))
% 113.02/113.25  (step @p199 :rule trans :premises (@p198 @p194))
% 113.02/113.25  (step @p200 :rule quant-miniscope-or :args ((= (forall @t7 @t247) @t246)))
% 113.02/113.25  (step @p201 :rule aci_norm :args ((= @t248 @t247)))
% 113.02/113.25  (step @p202 :rule cong :premises (@p201) :args ((forall @t7 @t248)))
% 113.02/113.25  (step @p203 :rule trans :premises (@p202 @p200))
% 113.02/113.25  (step @p204 :rule aci_norm :args ((= (or @t208 @t249) @t248)))
% 113.02/113.25  (step @p205 :rule bool-impl-elim :args (@t21 @t249))
% 113.02/113.25  (step @p206 :rule trans :premises (@p205 @p204))
% 113.02/113.25  (step @p207 :rule cong :premises (@p206) :args ((forall @t7 (=> @t21 @t249))))
% 113.02/113.25  (step @p208 :rule trans :premises (@p207 @p203))
% 113.02/113.25  (step @p209 :rule aci_norm :args ((= (or @t144 @t244 @t208 @t250) @t249)))
% 113.02/113.25  (step @p210 :rule aci_norm :args ((= (or @t158 false @t241 @t239) @t250)))
% 113.02/113.25  (step @p211 :rule refl :args (@t239))
% 113.02/113.25  (step @p212 :rule refl :args (@t241))
% 113.02/113.25  (step @p213 :rule evaluate :args ((not true)))
% 113.02/113.25  (step @p214 :rule eq-refl :args (@t2))
% 113.02/113.25  (step @p215 :rule cong :premises (@p214) :args (@t251))
% 113.02/113.25  (step @p216 :rule trans :premises (@p215 @p213))
% 113.02/113.25  (step @p217 :rule nary_cong :premises (@p181 @p216 @p212 @p211) :args (@t252))
% 113.02/113.25  (step @p218 :rule trans :premises (@p217 @p210))
% 113.02/113.25  (step @p219 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t94) @t256 @t145 @t255 @t253)) @t252)))
% 113.02/113.25  (step @p220 :rule refl :args (@t253))
% 113.02/113.25  (step @p221 :rule refl :args (@t255))
% 113.02/113.25  (step @p222 :rule refl :args (@t145))
% 113.02/113.25  (step @p223 :rule refl :args (@t256))
% 113.02/113.25  (step @p224 :rule eq-symm :args (@t2 @t12))
% 113.02/113.25  (step @p225 :rule cong :premises (@p224) :args (@t145))
% 113.02/113.25  (step @p226 :rule nary_cong :premises (@p225 @p223 @p222 @p221 @p220) :args (@t257))
% 113.02/113.25  (step @p227 :rule aci_norm :args ((= @t258 @t257)))
% 113.02/113.25  (step @p228 :rule trans :premises (@p227 @p226))
% 113.02/113.25  (step @p229 :rule cong :premises (@p228) :args (@t259))
% 113.02/113.25  (step @p230 :rule trans :premises (@p229 @p219))
% 113.02/113.25  (step @p231 :rule trans :premises (@p230 @p218))
% 113.02/113.25  (step @p232 :rule refl :args (@t208))
% 113.02/113.25  (step @p233 :rule refl :args (@t244))
% 113.02/113.25  (step @p234 :rule refl :args (@t144))
% 113.02/113.25  (step @p235 :rule nary_cong :premises (@p234 @p233 @p232 @p231) :args (@t260))
% 113.02/113.25  (step @p236 :rule trans :premises (@p235 @p209))
% 113.02/113.25  (step @p237 :rule quant-miniscope-or :args ((= (forall @t16 @t261) @t260)))
% 113.02/113.25  (step @p238 :rule aci_norm :args ((= @t262 @t261)))
% 113.02/113.25  (step @p239 :rule cong :premises (@p238) :args ((forall @t16 @t262)))
% 113.02/113.25  (step @p240 :rule trans :premises (@p239 @p237))
% 113.02/113.25  (step @p241 :rule trans :premises (@p240 @p236))
% 113.02/113.25  (step @p242 :rule aci_norm :args ((= (or @t256 @t263) @t262)))
% 113.02/113.25  (step @p243 :rule bool-impl-elim :args (@t15 @t263))
% 113.02/113.25  (step @p244 :rule trans :premises (@p243 @p242))
% 113.02/113.25  (step @p245 :rule cong :premises (@p244) :args ((forall @t16 (=> @t15 @t263))))
% 113.02/113.25  (step @p246 :rule trans :premises (@p245 @p241))
% 113.02/113.25  (step @p247 :rule aci_norm :args ((= (or @t145 @t144 @t244 @t264) @t263)))
% 113.02/113.25  (step @p248 :rule aci_norm :args ((= (or @t208 false @t255 @t253) @t264)))
% 113.02/113.25  (step @p249 :rule refl :args (@t253))
% 113.02/113.25  (step @p250 :rule refl :args (@t255))
% 113.02/113.25  (step @p251 :rule eq-refl :args (@t1))
% 113.02/113.25  (step @p252 :rule cong :premises (@p251) :args (@t265))
% 113.02/113.25  (step @p253 :rule trans :premises (@p252 @p213))
% 113.02/113.25  (step @p254 :rule nary_cong :premises (@p232 @p253 @p250 @p249) :args (@t266))
% 113.02/113.25  (step @p255 :rule trans :premises (@p254 @p248))
% 113.02/113.25  (step @p256 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t277 @t146 @t276 @t275)) @t266)))
% 113.02/113.25  (step @p257 :rule refl :args (@t275))
% 113.02/113.25  (step @p258 :rule refl :args (@t276))
% 113.02/113.25  (step @p259 :rule refl :args (@t146))
% 113.02/113.25  (step @p260 :rule refl :args (@t277))
% 113.02/113.25  (step @p261 :rule eq-symm :args (@t1 @t10))
% 113.02/113.25  (step @p262 :rule cong :premises (@p261) :args (@t146))
% 113.02/113.25  (step @p263 :rule nary_cong :premises (@p262 @p260 @p259 @p258 @p257) :args (@t278))
% 113.02/113.25  (step @p264 :rule aci_norm :args ((= @t279 @t278)))
% 113.02/113.25  (step @p265 :rule trans :premises (@p264 @p263))
% 113.02/113.25  (step @p266 :rule cong :premises (@p265) :args (@t280))
% 113.02/113.25  (step @p267 :rule trans :premises (@p266 @p256))
% 113.02/113.25  (step @p268 :rule trans :premises (@p267 @p255))
% 113.02/113.25  (step @p269 :rule refl :args (@t145))
% 113.02/113.25  (step @p270 :rule nary_cong :premises (@p269 @p234 @p233 @p268) :args (@t281))
% 113.02/113.25  (step @p271 :rule trans :premises (@p270 @p247))
% 113.02/113.25  (step @p272 :rule quant-miniscope-or :args ((= (forall @t14 @t282) @t281)))
% 113.02/113.25  (step @p273 :rule aci_norm :args ((= @t283 @t282)))
% 113.02/113.25  (step @p274 :rule cong :premises (@p273) :args ((forall @t14 @t283)))
% 113.02/113.25  (step @p275 :rule trans :premises (@p274 @p272))
% 113.02/113.25  (step @p276 :rule trans :premises (@p275 @p271))
% 113.02/113.25  (step @p277 :rule aci_norm :args ((= (or @t277 (or @t146 @t145 @t144 @t244 @t276 @t275)) @t283)))
% 113.02/113.25  (step @p278 :rule aci_norm :args ((= (and (and @t99 @t274 @t273 @t272 @t271 @t270) @t98) @t275)))
% 113.02/113.25  (step @p279 :rule refl :args (@t98))
% 113.02/113.25  (step @p280 :rule refl :args (@t270))
% 113.02/113.25  (step @p281 :rule bool-double-not-elim :args (@t271))
% 113.02/113.25  (step @p282 :rule bool-double-not-elim :args (@t272))
% 113.02/113.25  (step @p283 :rule bool-double-not-elim :args (@t273))
% 113.02/113.25  (step @p284 :rule bool-double-not-elim :args (@t274))
% 113.02/113.25  (step @p285 :rule bool-double-not-elim :args (@t99))
% 113.02/113.25  (step @p286 :rule nary_cong :premises (@p285 @p284 @p283 @p282 @p281 @p280) :args (@t294))
% 113.02/113.25  (step @p287 :rule aci_norm :args ((= (and @t293 (and @t291 (and @t289 (and @t287 (and @t285 @t270))))) @t294)))
% 113.02/113.25  (step @p288 :rule trans :premises (@p287 @p286))
% 113.02/113.25  (step @p289 :rule bool-or-de-morgan :args (@t284 @t269 false))
% 113.02/113.25  (step @p290 :rule refl :args (@t287))
% 113.02/113.25  (step @p291 :rule nary_cong :premises (@p290 @p289) :args ((and @t287 (not @t295))))
% 113.02/113.25  (step @p292 :rule bool-or-de-morgan :args (@t286 @t284 (or @t269)))
% 113.02/113.25  (step @p293 :rule trans :premises (@p292 @p291))
% 113.02/113.25  (step @p294 :rule refl :args (@t289))
% 113.02/113.25  (step @p295 :rule nary_cong :premises (@p294 @p293) :args ((and @t289 (not (or @t286 @t284 @t269)))))
% 113.02/113.25  (step @p296 :rule bool-or-de-morgan :args (@t288 @t286 (or @t284 @t269)))
% 113.02/113.25  (step @p297 :rule trans :premises (@p296 @p295))
% 113.02/113.25  (step @p298 :rule refl :args (@t291))
% 113.02/113.25  (step @p299 :rule nary_cong :premises (@p298 @p297) :args ((and @t291 (not (or @t288 @t286 @t284 @t269)))))
% 113.02/113.25  (step @p300 :rule bool-or-de-morgan :args (@t290 @t288 (or @t286 @t284 @t269)))
% 113.02/113.25  (step @p301 :rule trans :premises (@p300 @p299))
% 113.02/113.25  (step @p302 :rule refl :args (@t293))
% 113.02/113.25  (step @p303 :rule nary_cong :premises (@p302 @p301) :args ((and @t293 (not (or @t290 @t288 @t286 @t284 @t269)))))
% 113.02/113.25  (step @p304 :rule bool-or-de-morgan :args (@t292 @t290 (or @t288 @t286 @t284 @t269)))
% 113.02/113.25  (step @p305 :rule trans :premises (@p304 @p303))
% 113.02/113.25  (step @p306 :rule trans :premises (@p305 @p288))
% 113.02/113.25  (step @p307 :rule nary_cong :premises (@p306 @p279) :args (@t297))
% 113.02/113.25  (step @p308 :rule trans :premises (@p307 @p278))
% 113.02/113.25  (step @p309 :rule refl :args (@t244))
% 113.02/113.25  (step @p310 :rule refl :args (@t144))
% 113.02/113.25  (step @p311 :rule nary_cong :premises (@p259 @p222 @p310 @p309 @p258 @p308) :args (@t298))
% 113.02/113.25  (step @p312 :rule nary_cong :premises (@p260 @p311) :args ((or @t277 @t298)))
% 113.02/113.25  (step @p313 :rule trans :premises (@p312 @p277))
% 113.02/113.25  (step @p314 :rule bool-impl-elim :args (@t13 @t298))
% 113.02/113.25  (step @p315 :rule trans :premises (@p314 @p313))
% 113.02/113.25  (step @p316 :rule cong :premises (@p315) :args ((forall @t14 (=> @t13 @t298))))
% 113.02/113.25  (step @p317 :rule trans :premises (@p316 @p276))
% 113.02/113.25  (step @p318 :rule refl :args (@t98))
% 113.02/113.25  (step @p319 :rule aci_norm :args ((= (or @t292 @t290 @t288 @t286 @t295) @t296)))
% 113.02/113.25  (step @p320 :rule aci_norm :args ((= (or @t284 @t269 false) @t295)))
% 113.02/113.25  (step @p321 :rule eq-refl :args (@t268))
% 113.02/113.25  (step @p322 :rule cong :premises (@p321) :args (@t299))
% 113.02/113.25  (step @p323 :rule trans :premises (@p322 @p213))
% 113.02/113.25  (step @p324 :rule refl :args (@t269))
% 113.02/113.25  (step @p325 :rule refl :args (@t284))
% 113.02/113.25  (step @p326 :rule nary_cong :premises (@p325 @p324 @p323) :args (@t300))
% 113.02/113.25  (step @p327 :rule trans :premises (@p326 @p320))
% 113.02/113.25  (step @p328 :rule quant-var-elim-eq :args ((= (forall @t124 @t303) @t300)))
% 113.02/113.25  (step @p329 :rule aci_norm :args ((= @t304 @t303)))
% 113.02/113.25  (step @p330 :rule cong :premises (@p329) :args (@t305))
% 113.02/113.25  (step @p331 :rule trans :premises (@p330 @p328))
% 113.02/113.25  (step @p332 :rule trans :premises (@p331 @p327))
% 113.02/113.25  (step @p333 :rule refl :args (@t286))
% 113.02/113.25  (step @p334 :rule refl :args (@t288))
% 113.02/113.25  (step @p335 :rule refl :args (@t290))
% 113.02/113.25  (step @p336 :rule refl :args (@t292))
% 113.02/113.25  (step @p337 :rule nary_cong :premises (@p336 @p335 @p334 @p333 @p332) :args (@t306))
% 113.02/113.25  (step @p338 :rule trans :premises (@p337 @p319))
% 113.02/113.25  (step @p339 :rule quant-miniscope-or :args ((= (forall @t124 @t307) @t306)))
% 113.02/113.25  (step @p340 :rule aci_norm :args ((= @t308 @t307)))
% 113.02/113.25  (step @p341 :rule cong :premises (@p340) :args ((forall @t124 @t308)))
% 113.02/113.25  (step @p342 :rule trans :premises (@p341 @p339))
% 113.02/113.25  (step @p343 :rule trans :premises (@p342 @p338))
% 113.02/113.25  (step @p344 :rule aci_norm :args ((= (or @t302 @t120 @t309) @t308)))
% 113.02/113.25  (step @p345 :rule bool-double-not-elim :args (@t309))
% 113.02/113.25  (step @p346 :rule bool-double-not-elim :args (@t120))
% 113.02/113.25  (step @p347 :rule refl :args (@t302))
% 113.02/113.25  (step @p348 :rule nary_cong :premises (@p347 @p346 @p345) :args (@t313))
% 113.02/113.25  (step @p349 :rule aci_norm :args ((= (or @t302 (or @t312 @t311)) @t313)))
% 113.02/113.25  (step @p350 :rule trans :premises (@p349 @p348))
% 113.02/113.25  (step @p351 :rule bool-and-de-morgan :args (@t121 @t310 true))
% 113.02/113.25  (step @p352 :rule nary_cong :premises (@p347 @p351) :args ((or @t302 (not (and @t121 @t310)))))
% 113.02/113.25  (step @p353 :rule bool-and-de-morgan :args (@t122 @t121 (and @t310)))
% 113.02/113.25  (step @p354 :rule trans :premises (@p353 @p352))
% 113.02/113.25  (step @p355 :rule trans :premises (@p354 @p350))
% 113.02/113.25  (step @p356 :rule trans :premises (@p355 @p344))
% 113.02/113.25  (step @p357 :rule cong :premises (@p356) :args (@t315))
% 113.02/113.25  (step @p358 :rule trans :premises (@p357 @p343))
% 113.02/113.25  (step @p359 :rule cong :premises (@p358) :args (@t316))
% 113.02/113.25  (step @p360 :rule exists-elim :args ((= (exists @t124 @t314) @t316)))
% 113.02/113.25  (step @p361 :rule trans :premises (@p360 @p359))
% 113.02/113.25  (step @p362 :rule aci_norm :args ((= (or @t292 @t290 @t288 @t317) @t309)))
% 113.02/113.25  (step @p363 :rule aci_norm :args ((= (or @t286 false @t301) @t317)))
% 113.02/113.25  (step @p364 :rule refl :args (@t301))
% 113.02/113.25  (step @p365 :rule eq-refl :args (@t111))
% 113.02/113.25  (step @p366 :rule cong :premises (@p365) :args (@t318))
% 113.02/113.25  (step @p367 :rule trans :premises (@p366 @p213))
% 113.02/113.25  (step @p368 :rule nary_cong :premises (@p333 @p367 @p364) :args (@t319))
% 113.02/113.25  (step @p369 :rule trans :premises (@p368 @p363))
% 113.02/113.25  (step @p370 :rule quant-var-elim-eq :args ((= (forall @t118 @t324) @t319)))
% 113.02/113.25  (step @p371 :rule aci_norm :args ((= @t325 @t324)))
% 113.02/113.25  (step @p372 :rule cong :premises (@p371) :args (@t326))
% 113.02/113.25  (step @p373 :rule trans :premises (@p372 @p370))
% 113.02/113.25  (step @p374 :rule trans :premises (@p373 @p369))
% 113.02/113.25  (step @p375 :rule nary_cong :premises (@p336 @p335 @p334 @p374) :args (@t327))
% 113.02/113.25  (step @p376 :rule trans :premises (@p375 @p362))
% 113.02/113.25  (step @p377 :rule quant-miniscope-or :args ((= (forall @t118 @t328) @t327)))
% 113.02/113.25  (step @p378 :rule aci_norm :args ((= @t329 @t328)))
% 113.02/113.25  (step @p379 :rule cong :premises (@p378) :args ((forall @t118 @t329)))
% 113.02/113.25  (step @p380 :rule trans :premises (@p379 @p377))
% 113.02/113.25  (step @p381 :rule trans :premises (@p380 @p376))
% 113.02/113.25  (step @p382 :rule aci_norm :args ((= (or @t323 @t330) @t329)))
% 113.02/113.25  (step @p383 :rule bool-double-not-elim :args (@t330))
% 113.02/113.25  (step @p384 :rule refl :args (@t323))
% 113.02/113.25  (step @p385 :rule nary_cong :premises (@p384 @p383) :args ((or @t323 (not @t331))))
% 113.02/113.25  (step @p386 :rule bool-and-de-morgan :args (@t116 @t331 true))
% 113.02/113.25  (step @p387 :rule trans :premises (@p386 @p385))
% 113.02/113.25  (step @p388 :rule trans :premises (@p387 @p382))
% 113.02/113.25  (step @p389 :rule cong :premises (@p388) :args (@t333))
% 113.02/113.25  (step @p390 :rule trans :premises (@p389 @p381))
% 113.02/113.25  (step @p391 :rule cong :premises (@p390) :args (@t334))
% 113.02/113.25  (step @p392 :rule exists-elim :args ((= (exists @t118 @t332) @t334)))
% 113.02/113.25  (step @p393 :rule trans :premises (@p392 @p391))
% 113.02/113.25  (step @p394 :rule aci_norm :args ((= (or @t322 @t292 @t290 @t335) @t330)))
% 113.02/113.25  (step @p395 :rule aci_norm :args ((= (or @t288 @t320 false) @t335)))
% 113.02/113.25  (step @p396 :rule eq-refl :args (@t267))
% 113.02/113.25  (step @p397 :rule cong :premises (@p396) :args (@t336))
% 113.02/113.25  (step @p398 :rule trans :premises (@p397 @p213))
% 113.02/113.25  (step @p399 :rule refl :args (@t320))
% 113.02/113.25  (step @p400 :rule nary_cong :premises (@p334 @p399 @p398) :args (@t337))
% 113.02/113.25  (step @p401 :rule trans :premises (@p400 @p395))
% 113.02/113.25  (step @p402 :rule quant-var-elim-eq :args ((= (forall @t114 @t342) @t337)))
% 113.02/113.25  (step @p403 :rule aci_norm :args ((= @t343 @t342)))
% 113.02/113.25  (step @p404 :rule cong :premises (@p403) :args (@t344))
% 113.02/113.25  (step @p405 :rule trans :premises (@p404 @p402))
% 113.02/113.25  (step @p406 :rule trans :premises (@p405 @p401))
% 113.02/113.25  (step @p407 :rule refl :args (@t322))
% 113.02/113.25  (step @p408 :rule nary_cong :premises (@p407 @p336 @p335 @p406) :args (@t345))
% 113.02/113.25  (step @p409 :rule trans :premises (@p408 @p394))
% 113.02/113.25  (step @p410 :rule quant-miniscope-or :args ((= (forall @t114 @t346) @t345)))
% 113.02/113.25  (step @p411 :rule aci_norm :args ((= @t347 @t346)))
% 113.02/113.25  (step @p412 :rule cong :premises (@p411) :args ((forall @t114 @t347)))
% 113.02/113.25  (step @p413 :rule trans :premises (@p412 @p410))
% 113.02/113.25  (step @p414 :rule trans :premises (@p413 @p409))
% 113.02/113.25  (step @p415 :rule aci_norm :args ((= (or @t341 @t322 @t340 @t348 @t292) @t347)))
% 113.02/113.25  (step @p416 :rule refl :args (@t292))
% 113.02/113.25  (step @p417 :rule bool-double-not-elim :args (@t348))
% 113.02/113.25  (step @p418 :rule refl :args (@t340))
% 113.02/113.25  (step @p419 :rule refl :args (@t322))
% 113.02/113.25  (step @p420 :rule refl :args (@t341))
% 113.02/113.25  (step @p421 :rule nary_cong :premises (@p420 @p419 @p418 @p417 @p416) :args (@t351))
% 113.02/113.25  (step @p422 :rule aci_norm :args ((= (or @t341 (or @t322 (or @t340 (or @t350 @t292)))) @t351)))
% 113.02/113.25  (step @p423 :rule trans :premises (@p422 @p421))
% 113.02/113.25  (step @p424 :rule bool-and-de-morgan :args (@t349 @t99 true))
% 113.02/113.25  (step @p425 :rule nary_cong :premises (@p418 @p424) :args ((or @t340 (not (and @t349 @t99)))))
% 113.02/113.25  (step @p426 :rule bool-and-de-morgan :args (@t339 @t349 (and @t99)))
% 113.02/113.25  (step @p427 :rule trans :premises (@p426 @p425))
% 113.02/113.25  (step @p428 :rule nary_cong :premises (@p419 @p427) :args ((or @t322 (not (and @t339 @t349 @t99)))))
% 113.02/113.25  (step @p429 :rule bool-and-de-morgan :args (@t321 @t339 (and @t349 @t99)))
% 113.02/113.25  (step @p430 :rule trans :premises (@p429 @p428))
% 113.02/113.25  (step @p431 :rule nary_cong :premises (@p420 @p430) :args ((or @t341 (not (and @t321 @t339 @t349 @t99)))))
% 113.02/113.25  (step @p432 :rule bool-and-de-morgan :args (@t112 @t321 (and @t339 @t349 @t99)))
% 113.02/113.25  (step @p433 :rule trans :premises (@p432 @p431))
% 113.02/113.25  (step @p434 :rule trans :premises (@p433 @p423))
% 113.02/113.25  (step @p435 :rule trans :premises (@p434 @p415))
% 113.02/113.25  (step @p436 :rule cong :premises (@p435) :args (@t353))
% 113.02/113.25  (step @p437 :rule trans :premises (@p436 @p414))
% 113.02/113.25  (step @p438 :rule cong :premises (@p437) :args (@t354))
% 113.02/113.25  (step @p439 :rule exists-elim :args ((= (exists @t114 @t352) @t354)))
% 113.02/113.25  (step @p440 :rule trans :premises (@p439 @p438))
% 113.02/113.25  (step @p441 :rule refl :args (@t99))
% 113.02/113.25  (step @p442 :rule aci_norm :args ((= (or @t292 @t355) @t348)))
% 113.02/113.25  (step @p443 :rule aci_norm :args ((= (or @t290 @t338 false) @t355)))
% 113.02/113.25  (step @p444 :rule eq-refl :args (@t101))
% 113.02/113.25  (step @p445 :rule cong :premises (@p444) :args (@t356))
% 113.02/113.25  (step @p446 :rule trans :premises (@p445 @p213))
% 113.02/113.25  (step @p447 :rule refl :args (@t338))
% 113.02/113.25  (step @p448 :rule nary_cong :premises (@p335 @p447 @p446) :args (@t357))
% 113.02/113.25  (step @p449 :rule trans :premises (@p448 @p443))
% 113.02/113.25  (step @p450 :rule quant-var-elim-eq :args ((= (forall @t106 @t363) @t357)))
% 113.02/113.25  (step @p451 :rule aci_norm :args ((= @t364 @t363)))
% 113.02/113.25  (step @p452 :rule cong :premises (@p451) :args (@t365))
% 113.02/113.25  (step @p453 :rule trans :premises (@p452 @p450))
% 113.02/113.25  (step @p454 :rule trans :premises (@p453 @p449))
% 113.02/113.25  (step @p455 :rule nary_cong :premises (@p336 @p454) :args (@t366))
% 113.02/113.25  (step @p456 :rule trans :premises (@p455 @p442))
% 113.02/113.25  (step @p457 :rule quant-miniscope-or :args ((= (forall @t106 @t367) @t366)))
% 113.02/113.25  (step @p458 :rule aci_norm :args ((= @t368 @t367)))
% 113.02/113.25  (step @p459 :rule cong :premises (@p458) :args ((forall @t106 @t368)))
% 113.02/113.25  (step @p460 :rule trans :premises (@p459 @p457))
% 113.02/113.25  (step @p461 :rule trans :premises (@p460 @p456))
% 113.02/113.25  (step @p462 :rule aci_norm :args ((= (or @t362 (or @t361 (or @t359 @t292))) @t368)))
% 113.02/113.25  (step @p463 :rule bool-and-de-morgan :args (@t358 @t99 true))
% 113.02/113.25  (step @p464 :rule refl :args (@t361))
% 113.02/113.25  (step @p465 :rule nary_cong :premises (@p464 @p463) :args ((or @t361 (not (and @t358 @t99)))))
% 113.02/113.25  (step @p466 :rule bool-and-de-morgan :args (@t360 @t358 (and @t99)))
% 113.02/113.25  (step @p467 :rule trans :premises (@p466 @p465))
% 113.02/113.25  (step @p468 :rule refl :args (@t362))
% 113.02/113.25  (step @p469 :rule nary_cong :premises (@p468 @p467) :args ((or @t362 (not (and @t360 @t358 @t99)))))
% 113.02/113.25  (step @p470 :rule bool-and-de-morgan :args (@t104 @t360 (and @t358 @t99)))
% 113.02/113.25  (step @p471 :rule trans :premises (@p470 @p469))
% 113.02/113.25  (step @p472 :rule trans :premises (@p471 @p462))
% 113.02/113.25  (step @p473 :rule cong :premises (@p472) :args (@t370))
% 113.02/113.25  (step @p474 :rule trans :premises (@p473 @p461))
% 113.02/113.25  (step @p475 :rule cong :premises (@p474) :args (@t371))
% 113.02/113.25  (step @p476 :rule exists-elim :args ((= (exists @t106 @t369) @t371)))
% 113.02/113.25  (step @p477 :rule trans :premises (@p476 @p475))
% 113.02/113.25  (step @p478 :rule eq-symm :args (@t101 @t100))
% 113.02/113.25  (step @p479 :rule eq-symm :args (@t103 @t102))
% 113.02/113.25  (step @p480 :rule refl :args (@t104))
% 113.02/113.25  (step @p481 :rule nary_cong :premises (@p480 @p479 @p478 @p441) :args (@t105))
% 113.02/113.25  (step @p482 :rule cong :premises (@p481) :args (@t107))
% 113.02/113.25  (step @p483 :rule trans :premises (@p482 @p477))
% 113.02/113.25  (step @p484 :rule eq-symm :args (@t110 @t108))
% 113.02/113.25  (step @p485 :rule eq-symm :args (@t111 @t109))
% 113.02/113.25  (step @p486 :rule refl :args (@t112))
% 113.02/113.25  (step @p487 :rule nary_cong :premises (@p486 @p485 @p484 @p483 @p441) :args (@t113))
% 113.02/113.25  (step @p488 :rule cong :premises (@p487) :args (@t115))
% 113.02/113.25  (step @p489 :rule trans :premises (@p488 @p440))
% 113.02/113.25  (step @p490 :rule refl :args (@t116))
% 113.02/113.25  (step @p491 :rule nary_cong :premises (@p490 @p489) :args (@t117))
% 113.02/113.25  (step @p492 :rule cong :premises (@p491) :args (@t119))
% 113.02/113.25  (step @p493 :rule trans :premises (@p492 @p393))
% 113.02/113.25  (step @p494 :rule refl :args (@t121))
% 113.02/113.25  (step @p495 :rule refl :args (@t122))
% 113.02/113.25  (step @p496 :rule nary_cong :premises (@p495 @p494 @p493) :args (@t123))
% 113.02/113.25  (step @p497 :rule cong :premises (@p496) :args (@t125))
% 113.02/113.25  (step @p498 :rule trans :premises (@p497 @p361))
% 113.02/113.25  (step @p499 :rule nary_cong :premises (@p498 @p318) :args (@t126))
% 113.02/113.25  (step @p500 :rule eq-symm :args (tptp.nil @t10))
% 113.02/113.25  (step @p501 :rule eq-symm :args (tptp.nil @t12))
% 113.02/113.25  (step @p502 :rule cong :premises (@p501) :args (@t127))
% 113.02/113.25  (step @p503 :rule nary_cong :premises (@p502 @p500) :args (@t128))
% 113.02/113.25  (step @p504 :rule aci_norm :args ((= @t373 @t243)))
% 113.02/113.25  (step @p505 :rule cong :premises (@p504) :args (@t374))
% 113.02/113.25  (step @p506 :rule quant-merge-prenex :args ((= (forall @t33 @t376) @t374)))
% 113.02/113.25  (step @p507 :rule alpha_equiv :args (@t377 (@list @t170 @t171) (@list @t27 @t378)))
% 113.02/113.25  (step @p508 :rule refl :args (@t177))
% 113.02/113.25  (step @p509 :rule nary_cong :premises (@p508 @p507) :args (@t379))
% 113.02/113.25  (step @p510 :rule quant-miniscope-or :args ((= @t376 @t379)))
% 113.02/113.25  (step @p511 :rule trans :premises (@p510 @p509))
% 113.02/113.25  (step @p512 :rule symm :premises (@p511))
% 113.02/113.25  (step @p513 :rule cong :premises (@p512) :args ((forall @t33 (or @t177 @t386))))
% 113.02/113.25  (step @p514 :rule trans :premises (@p513 @p506))
% 113.02/113.25  (step @p515 :rule trans :premises (@p514 @p505))
% 113.02/113.25  (step @p516 :rule bool-double-not-elim :args (@t386))
% 113.02/113.25  (step @p517 :rule nary_cong :premises (@p508 @p516) :args ((or @t177 (not @t387))))
% 113.02/113.25  (step @p518 :rule bool-and-de-morgan :args (@t140 @t387 true))
% 113.02/113.25  (step @p519 :rule trans :premises (@p518 @p517))
% 113.02/113.25  (step @p520 :rule cong :premises (@p519) :args (@t389))
% 113.02/113.25  (step @p521 :rule trans :premises (@p520 @p515))
% 113.02/113.25  (step @p522 :rule cong :premises (@p521) :args (@t390))
% 113.02/113.25  (step @p523 :rule exists-elim :args ((= (exists @t33 @t388) @t390)))
% 113.02/113.25  (step @p524 :rule trans :premises (@p523 @p522))
% 113.02/113.25  (step @p525 :rule aci_norm :args ((= @t392 @t384)))
% 113.02/113.25  (step @p526 :rule cong :premises (@p525) :args (@t393))
% 113.02/113.25  (step @p527 :rule quant-merge-prenex :args ((= (forall @t31 @t395) @t393)))
% 113.02/113.25  (step @p528 :rule alpha_equiv :args (@t396 (@list @t378) (@list @t130)))
% 113.02/113.25  (step @p529 :rule refl :args (@t383))
% 113.02/113.25  (step @p530 :rule nary_cong :premises (@p529 @p528) :args (@t397))
% 113.02/113.25  (step @p531 :rule quant-miniscope-or :args ((= @t395 @t397)))
% 113.02/113.25  (step @p532 :rule trans :premises (@p531 @p530))
% 113.02/113.25  (step @p533 :rule symm :premises (@p532))
% 113.02/113.25  (step @p534 :rule cong :premises (@p533) :args ((forall @t31 (or @t383 @t404))))
% 113.02/113.25  (step @p535 :rule trans :premises (@p534 @p527))
% 113.02/113.25  (step @p536 :rule trans :premises (@p535 @p526))
% 113.02/113.25  (step @p537 :rule bool-double-not-elim :args (@t404))
% 113.02/113.25  (step @p538 :rule nary_cong :premises (@p529 @p537) :args ((or @t383 (not @t405))))
% 113.02/113.25  (step @p539 :rule bool-and-de-morgan :args (@t30 @t405 true))
% 113.02/113.25  (step @p540 :rule trans :premises (@p539 @p538))
% 113.02/113.25  (step @p541 :rule cong :premises (@p540) :args (@t407))
% 113.02/113.25  (step @p542 :rule trans :premises (@p541 @p536))
% 113.02/113.25  (step @p543 :rule cong :premises (@p542) :args (@t408))
% 113.02/113.25  (step @p544 :rule exists-elim :args ((= (exists @t31 @t406) @t408)))
% 113.02/113.25  (step @p545 :rule trans :premises (@p544 @p543))
% 113.02/113.25  (step @p546 :rule aci_norm :args ((= (or @t402 (or @t401 @t399)) @t403)))
% 113.02/113.25  (step @p547 :rule bool-and-de-morgan :args (@t400 @t398 true))
% 113.02/113.25  (step @p548 :rule refl :args (@t402))
% 113.02/113.25  (step @p549 :rule nary_cong :premises (@p548 @p547) :args ((or @t402 (not (and @t400 @t398)))))
% 113.02/113.25  (step @p550 :rule bool-and-de-morgan :args (@t134 @t400 (and @t398)))
% 113.02/113.25  (step @p551 :rule trans :premises (@p550 @p549))
% 113.02/113.25  (step @p552 :rule trans :premises (@p551 @p546))
% 113.02/113.25  (step @p553 :rule cong :premises (@p552) :args (@t410))
% 113.02/113.25  (step @p554 :rule cong :premises (@p553) :args (@t411))
% 113.02/113.25  (step @p555 :rule exists-elim :args ((= (exists @t136 @t409) @t411)))
% 113.02/113.25  (step @p556 :rule trans :premises (@p555 @p554))
% 113.02/113.25  (step @p557 :rule eq-symm :args (@t131 @t2))
% 113.02/113.25  (step @p558 :rule eq-symm :args (@t133 @t1))
% 113.02/113.25  (step @p559 :rule refl :args (@t134))
% 113.02/113.25  (step @p560 :rule nary_cong :premises (@p559 @p558 @p557) :args (@t135))
% 113.02/113.25  (step @p561 :rule cong :premises (@p560) :args (@t137))
% 113.02/113.25  (step @p562 :rule trans :premises (@p561 @p556))
% 113.02/113.25  (step @p563 :rule refl :args (@t30))
% 113.02/113.25  (step @p564 :rule nary_cong :premises (@p563 @p562) :args (@t138))
% 113.02/113.25  (step @p565 :rule cong :premises (@p564) :args (@t139))
% 113.02/113.25  (step @p566 :rule trans :premises (@p565 @p545))
% 113.02/113.25  (step @p567 :rule refl :args (@t140))
% 113.02/113.25  (step @p568 :rule nary_cong :premises (@p567 @p566) :args (@t141))
% 113.02/113.25  (step @p569 :rule cong :premises (@p568) :args (@t142))
% 113.02/113.25  (step @p570 :rule trans :premises (@p569 @p524))
% 113.02/113.25  (step @p571 :rule refl :args (@t146))
% 113.02/113.25  (step @p572 :rule nary_cong :premises (@p571 @p269 @p234 @p570 @p503 @p499) :args (@t147))
% 113.02/113.25  (step @p573 :rule refl :args (@t13))
% 113.02/113.25  (step @p574 :rule cong :premises (@p573 @p572) :args (@t148))
% 113.02/113.25  (step @p575 :rule cong :premises (@p574) :args (@t149))
% 113.02/113.25  (step @p576 :rule trans :premises (@p575 @p317))
% 113.02/113.25  (step @p577 :rule refl :args (@t15))
% 113.02/113.25  (step @p578 :rule cong :premises (@p577 @p576) :args (@t150))
% 113.02/113.25  (step @p579 :rule cong :premises (@p578) :args (@t151))
% 113.02/113.25  (step @p580 :rule trans :premises (@p579 @p246))
% 113.02/113.25  (step @p581 :rule refl :args (@t21))
% 113.02/113.25  (step @p582 :rule cong :premises (@p581 @p580) :args (@t152))
% 113.02/113.25  (step @p583 :rule cong :premises (@p582) :args (@t153))
% 113.02/113.25  (step @p584 :rule trans :premises (@p583 @p208))
% 113.02/113.25  (step @p585 :rule cong :premises (@p114 @p584) :args (@t154))
% 113.02/113.25  (step @p586 :rule cong :premises (@p585) :args (@t155))
% 113.02/113.25  (step @p587 :rule trans :premises (@p586 @p199))
% 113.02/113.25  (step @p588 :rule cong :premises (@p587) :args (@t156))
% 113.02/113.25  (step @p589 :rule eq_resolve :premises (@p96 @p588))
% 113.02/113.25  (step @p590 :rule refl :args (@t430))
% 113.02/113.25  (step @p591 :rule bool-double-not-elim :args (@t182))
% 113.02/113.25  (step @p592 :rule nary_cong :premises (@p591 @p590) :args ((or (not @t431) @t430)))
% 113.02/113.25  (step @p593 :rule refl :args (@t422))
% 113.02/113.25  (step @p594 :rule refl :args (@t192))
% 113.02/113.25  (step @p595 :rule eq-symm :args (@t415 tptp.nil))
% 113.02/113.25  (step @p596 :rule cong :premises (@p595) :args (@t432))
% 113.02/113.25  (step @p597 :rule nary_cong :premises (@p596 @p594) :args (@t433))
% 113.02/113.25  (step @p598 :rule eq-symm :args (@t415 @t172))
% 113.02/113.25  (step @p599 :rule cong :premises (@p598) :args (@t434))
% 113.02/113.25  (step @p600 :rule refl :args (@t423))
% 113.02/113.25  (step @p601 :rule nary_cong :premises (@p175 @p174 @p173 @p600 @p599) :args (@t435))
% 113.02/113.25  (step @p602 :rule cong :premises (@p601) :args (@t436))
% 113.02/113.25  (step @p603 :rule cong :premises (@p602) :args (@t437))
% 113.02/113.25  (step @p604 :rule refl :args (@t426))
% 113.02/113.25  (step @p605 :rule refl :args (@t428))
% 113.02/113.25  (step @p606 :rule nary_cong :premises (@p605 @p121 @p604 @p603 @p597 @p593) :args (@t438))
% 113.02/113.25  (step @p607 :rule cong :premises (@p606) :args (@t439))
% 113.02/113.25  (step @p608 :rule refl :args (@t431))
% 113.02/113.25  (step @p609 :rule cong :premises (@p608 @p607) :args ((=> @t431 @t439)))
% 113.02/113.25  (assume-push @p893 @t431)
% 113.02/113.25  (step @p611 :rule skolemize :premises (@p589))
% 113.02/113.25  (step-pop @p894 :rule scope :premises (@p611))
% 113.02/113.25  (step @p612 :rule process_scope :premises (@p894) :args (@t439))
% 113.02/113.25  (step @p614 :rule eq_resolve :premises (@p612 @p609))
% 113.02/113.25  (step @p615 :rule implies_elim :premises (@p614))
% 113.02/113.25  (step @p616 :rule eq_resolve :premises (@p615 @p592))
% 113.02/113.25  (step @p617 :rule chain_m_resolution :premises (@p616 @p589) :args (@t430 @t440 (@list @t182)))
% 113.02/113.25  (step @p618 :rule bool-double-not-elim :args (@t186))
% 113.02/113.25  (step @p619 :rule refl :args (@t429))
% 113.02/113.25  (step @p620 :rule nary_cong :premises (@p619 @p618) :args ((or @t429 (not @t187))))
% 113.02/113.25  (step @p621 :rule cnf_or_neg :args (@t429 1))
% 113.02/113.25  (step @p622 :rule eq_resolve :premises (@p621 @p620))
% 113.02/113.25  (step @p623 :rule reordering :premises (@p622) :args ((or @t186 @t429)))
% 113.02/113.25  (step @p624 :rule chain_m_resolution :premises (@p623 @p617) :args (@t186 @t440 @t441))
% 113.02/113.25  (step @p625 :rule cnf_or_pos :args (@t218))
% 113.02/113.25  (step @p626 :rule reordering :premises (@p625) :args ((or @t213 @t187 @t217 (not @t218))))
% 113.02/113.25  (step @p627 :rule chain_m_resolution :premises (@p626 @p17 @p624 @p165) :args (@t217 @t442 (@list @t45 @t186 @t218)))
% 113.02/113.25  (step @p628 :rule bool-double-not-elim :args (@t211))
% 113.02/113.25  (step @p629 :rule nary_cong :premises (@p619 @p628) :args ((or @t429 (not @t426))))
% 113.02/113.25  (step @p630 :rule cnf_or_neg :args (@t429 2))
% 113.02/113.25  (step @p631 :rule eq_resolve :premises (@p630 @p629))
% 113.02/113.25  (step @p632 :rule reordering :premises (@p631) :args ((or @t211 @t429)))
% 113.02/113.25  (step @p633 :rule chain_m_resolution :premises (@p632 @p617) :args (@t211 @t440 @t441))
% 113.02/113.25  (step @p634 :rule cnf_equiv_pos1 :args (@t217))
% 113.02/113.25  (step @p635 :rule reordering :premises (@p634) :args ((or @t426 @t216 (not @t217))))
% 113.02/113.25  (step @p636 :rule chain_m_resolution :premises (@p635 @p633 @p627) :args (@t216 @t443 (@list @t211 @t217)))
% 113.02/113.25  (step @p637 :rule cnf_or_pos :args (@t193))
% 113.02/113.25  (step @p638 :rule reordering :premises (@p637) :args ((or @t187 @t192 @t185 (not @t193))))
% 113.02/113.25  (step @p639 :rule chain_m_resolution :premises (@p638 @p624 @p636 @p131) :args (@t185 @t444 (@list @t186 @t192 @t193)))
% 113.02/113.25  (step @p640 :rule aci_norm :args ((= (or @t158 (or @t157 @t56)) @t445)))
% 113.02/113.25  (step @p641 :rule refl :args (@t56))
% 113.02/113.25  (step @p642 :rule nary_cong :premises (@p100 @p641) :args ((or @t161 @t56)))
% 113.02/113.25  (step @p643 :rule bool-impl-elim :args (@t160 @t56))
% 113.02/113.25  (step @p644 :rule trans :premises (@p643 @p642))
% 113.02/113.25  (step @p645 :rule nary_cong :premises (@p104 @p644) :args ((or @t158 @t446)))
% 113.02/113.25  (step @p646 :rule trans :premises (@p645 @p640))
% 113.02/113.25  (step @p647 :rule bool-impl-elim :args (@t17 @t446))
% 113.02/113.25  (step @p648 :rule trans :premises (@p647 @p646))
% 113.02/113.25  (step @p649 :rule cong :premises (@p648) :args ((forall @t9 (=> @t17 @t446))))
% 113.02/113.25  (step @p650 :rule refl :args (@t56))
% 113.02/113.25  (step @p651 :rule cong :premises (@p112 @p650) :args (@t57))
% 113.02/113.25  (step @p652 :rule cong :premises (@p114 @p651) :args (@t58))
% 113.02/113.25  (step @p653 :rule cong :premises (@p652) :args (@t59))
% 113.02/113.25  (step @p654 :rule trans :premises (@p653 @p649))
% 113.02/113.25  (step @p655 :rule eq_resolve :premises (@p24 @p654))
% 113.02/113.25  (step @p656 :rule refl :args (@t419))
% 113.02/113.25  (step @p657 :rule nary_cong :premises (@p121 @p120 @p656) :args (@t447))
% 113.02/113.25  (step @p658 :rule refl :args (@t448))
% 113.02/113.25  (step @p659 :rule cong :premises (@p658 @p657) :args ((=> @t448 @t447)))
% 113.02/113.25  (assume-push @p895 @t448)
% 113.02/113.25  (step @p661 :rule instantiate :premises (@p655) :args (@t191))
% 113.02/113.25  (step-pop @p896 :rule scope :premises (@p661))
% 113.02/113.25  (step @p662 :rule process_scope :premises (@p896) :args (@t447))
% 113.02/113.25  (step @p664 :rule eq_resolve :premises (@p662 @p659))
% 113.02/113.25  (step @p665 :rule implies_elim :premises (@p664))
% 113.02/113.25  (step @p666 :rule chain_m_resolution :premises (@p665 @p655) :args (@t449 @t194 (@list @t448)))
% 113.02/113.25  (step @p667 :rule cnf_or_pos :args (@t449))
% 113.02/113.25  (step @p668 :rule reordering :premises (@p667) :args ((or @t187 @t192 @t419 (not @t449))))
% 113.02/113.25  (step @p669 :rule chain_m_resolution :premises (@p668 @p624 @p636 @p666) :args (@t419 @t444 (@list @t186 @t192 @t449)))
% 113.02/113.25  (step @p670 :rule bool-double-not-elim :args (@t424))
% 113.02/113.25  (step @p671 :rule nary_cong :premises (@p619 @p670) :args ((or @t429 (not @t425))))
% 113.02/113.25  (step @p672 :rule cnf_or_neg :args (@t429 3))
% 113.02/113.25  (step @p673 :rule eq_resolve :premises (@p672 @p671))
% 113.02/113.25  (step @p674 :rule reordering :premises (@p673) :args ((or @t424 @t429)))
% 113.02/113.25  (step @p675 :rule chain_m_resolution :premises (@p674 @p617) :args (@t424 @t440 @t441))
% 113.02/113.25  (step @p676 :rule eq-symm :args (@t450 @t415))
% 113.02/113.25  (step @p677 :rule cong :premises (@p676) :args (@t451))
% 113.02/113.25  (step @p678 :rule eq-symm :args (@t453 @t183))
% 113.02/113.25  (step @p679 :rule cong :premises (@p678) :args (@t454))
% 113.02/113.25  (step @p680 :rule refl :args (@t455))
% 113.02/113.25  (step @p681 :rule refl :args (@t456))
% 113.02/113.25  (step @p682 :rule nary_cong :premises (@p681 @p155 @p680 @p679 @p677) :args (@t457))
% 113.02/113.25  (step @p683 :rule refl :args (@t424))
% 113.02/113.25  (step @p684 :rule cong :premises (@p683 @p682) :args ((=> @t424 @t457)))
% 113.02/113.25  (assume-push @p897 @t424)
% 113.02/113.25  (step @p686 :rule instantiate :premises (@p675) :args ((@list @t184 tptp.nil @t413)))
% 113.02/113.25  (step-pop @p898 :rule scope :premises (@p686))
% 113.02/113.25  (step @p687 :rule process_scope :premises (@p898) :args (@t457))
% 113.02/113.25  (step @p689 :rule eq_resolve :premises (@p687 @p684))
% 113.02/113.25  (step @p690 :rule implies_elim :premises (@p689))
% 113.02/113.25  (step @p691 :rule chain_m_resolution :premises (@p690 @p675) :args (@t462 @t194 (@list @t424)))
% 113.02/113.25  (step @p692 :rule refl :args (tptp.nil))
% 113.02/113.25  (step @p693 :rule aci_norm :args ((= @t467 (or @t158 @t465 @t464))))
% 113.02/113.25  (step @p694 :rule cong :premises (@p693) :args (@t468))
% 113.02/113.25  (step @p695 :rule quant-merge-prenex :args ((= (forall @t9 @t470) @t468)))
% 113.02/113.25  (step @p696 :rule alpha_equiv :args (@t471 (@list @t463) @t206))
% 113.02/113.25  (step @p697 :rule nary_cong :premises (@p104 @p696) :args (@t472))
% 113.02/113.25  (step @p698 :rule quant-miniscope-or :args ((= @t470 @t472)))
% 113.02/113.25  (step @p699 :rule trans :premises (@p698 @p697))
% 113.02/113.25  (step @p700 :rule symm :premises (@p699))
% 113.02/113.25  (step @p701 :rule cong :premises (@p700) :args ((forall @t9 (or @t158 @t473))))
% 113.02/113.25  (step @p702 :rule trans :premises (@p701 @p695))
% 113.02/113.25  (step @p703 :rule trans :premises (@p702 @p694))
% 113.02/113.25  (step @p704 :rule bool-impl-elim :args (@t17 @t473))
% 113.02/113.25  (step @p705 :rule cong :premises (@p704) :args ((forall @t9 (=> @t17 @t473))))
% 113.02/113.25  (step @p706 :rule trans :premises (@p705 @p703))
% 113.02/113.25  (step @p707 :rule bool-impl-elim :args (@t21 @t61))
% 113.02/113.25  (step @p708 :rule cong :premises (@p707) :args (@t62))
% 113.02/113.25  (step @p709 :rule cong :premises (@p114 @p708) :args (@t63))
% 113.02/113.25  (step @p710 :rule cong :premises (@p709) :args (@t64))
% 113.02/113.25  (step @p711 :rule trans :premises (@p710 @p706))
% 113.02/113.25  (step @p712 :rule eq_resolve :premises (@p26 @p711))
% 113.02/113.25  (step @p713 :rule instantiate :premises (@p712) :args ((@list @t413 @t412)))
% 113.02/113.25  (step @p714 :rule aci_norm :args ((= @t478 (or @t158 @t476 @t475))))
% 113.02/113.25  (step @p715 :rule cong :premises (@p714) :args (@t479))
% 113.02/113.25  (step @p716 :rule quant-merge-prenex :args ((= (forall @t9 @t481) @t479)))
% 113.02/113.25  (step @p717 :rule alpha_equiv :args (@t482 (@list @t474) @t206))
% 113.02/113.25  (step @p718 :rule nary_cong :premises (@p104 @p717) :args (@t483))
% 113.02/113.25  (step @p719 :rule quant-miniscope-or :args ((= @t481 @t483)))
% 113.02/113.25  (step @p720 :rule trans :premises (@p719 @p718))
% 113.02/113.25  (step @p721 :rule symm :premises (@p720))
% 113.02/113.25  (step @p722 :rule cong :premises (@p721) :args ((forall @t9 (or @t158 @t484))))
% 113.02/113.25  (step @p723 :rule trans :premises (@p722 @p716))
% 113.02/113.25  (step @p724 :rule trans :premises (@p723 @p715))
% 113.02/113.25  (step @p725 :rule bool-impl-elim :args (@t17 @t484))
% 113.02/113.25  (step @p726 :rule cong :premises (@p725) :args ((forall @t9 (=> @t17 @t484))))
% 113.02/113.25  (step @p727 :rule trans :premises (@p726 @p724))
% 113.02/113.25  (step @p728 :rule bool-impl-elim :args (@t6 @t41))
% 113.02/113.25  (step @p729 :rule cong :premises (@p728) :args (@t42))
% 113.02/113.25  (step @p730 :rule cong :premises (@p114 @p729) :args (@t43))
% 113.02/113.25  (step @p731 :rule cong :premises (@p730) :args (@t44))
% 113.02/113.25  (step @p732 :rule trans :premises (@p731 @p727))
% 113.02/113.25  (step @p733 :rule eq_resolve :premises (@p16 @p732))
% 113.02/113.25  (step @p734 :rule instantiate :premises (@p733) :args ((@list tptp.nil @t184)))
% 113.02/113.25  (step @p735 :rule cnf_or_pos :args (@t485))
% 113.02/113.25  (step @p736 :rule reordering :premises (@p735) :args ((or @t213 @t420 @t456 (not @t485))))
% 113.02/113.25  (step @p737 :rule chain_m_resolution :premises (@p736 @p17 @p639 @p734) :args (@t420 @t442 (@list @t45 @t185 @t485)))
% 113.02/113.25  (step @p738 :rule cnf_or_pos :args (@t487))
% 113.02/113.25  (step @p739 :rule reordering :premises (@p738) :args ((or @t418 @t486 @t455 (not @t487))))
% 113.02/113.25  (step @p740 :rule chain_m_resolution :premises (@p739 @p737 @p669 @p713) :args (@t418 @t442 (@list @t420 @t419 @t487)))
% 113.02/113.25  (step @p741 :rule instantiate :premises (@p151) :args ((@list tptp.nil @t183)))
% 113.02/113.25  (step @p742 :rule cnf_or_pos :args (@t489))
% 113.02/113.25  (step @p743 :rule reordering :premises (@p742) :args ((or @t213 @t187 @t488 (not @t489))))
% 113.02/113.25  (step @p744 :rule chain_m_resolution :premises (@p743 @p17 @p624 @p741) :args (@t488 @t442 (@list @t45 @t186 @t489)))
% 113.02/113.25  (step @p745 :rule bool-double-not-elim :args (@t192))
% 113.02/113.25  (step @p746 :rule refl :args (@t421))
% 113.02/113.25  (step @p747 :rule refl :args (@t490))
% 113.02/113.25  (step @p748 :rule nary_cong :premises (@p747 @p746 @p745) :args ((or @t490 @t421 (not @t216))))
% 113.02/113.25  (step @p749 :rule cnf_equiv_pos2 :args (@t488))
% 113.02/113.25  (step @p750 :rule eq_resolve :premises (@p749 @p748))
% 113.02/113.25  (step @p751 :rule reordering :premises (@p750) :args ((or @t192 @t421 @t490)))
% 113.02/113.25  (step @p752 :rule chain_m_resolution :premises (@p751 @p636 @p744) :args (@t421 (@list true false) (@list @t192 @t488)))
% 113.02/113.25  (step @p753 :rule cnf_or_neg :args (@t429 5))
% 113.02/113.25  (step @p754 :rule chain_m_resolution :premises (@p753 @p617) :args ((not @t422) @t440 @t441))
% 113.02/113.25  (step @p755 :rule bool-double-not-elim :args (@t416))
% 113.02/113.25  (step @p756 :rule refl :args (@t491))
% 113.02/113.25  (step @p757 :rule refl :args (@t486))
% 113.02/113.25  (step @p758 :rule refl :args (@t492))
% 113.02/113.25  (step @p759 :rule nary_cong :premises (@p593 @p758 @p681 @p757 @p680 @p756 @p755 @p604) :args ((or @t422 @t492 @t456 @t486 @t455 @t491 (not @t417) @t426)))
% 113.02/113.25  (step @p760 :rule cnf_and_neg :args (@t422))
% 113.02/113.25  (step @p761 :rule eq_resolve :premises (@p760 @p759))
% 113.02/113.25  (step @p762 :rule reordering :premises (@p761) :args ((or @t426 @t416 @t422 @t492 @t456 @t486 @t455 @t491)))
% 113.02/113.25  (step @p763 :rule chain_m_resolution :premises (@p762 @p633 @p754 @p752 @p639 @p737 @p669 @p740) :args (@t416 (@list false true false false false false false) (@list @t211 @t422 @t421 @t185 @t420 @t419 @t418)))
% 113.02/113.25  (step @p764 :rule cong :premises (@p763 @p692) :args (@t493))
% 113.02/113.25  (step @p765 :rule bool-impl-elim :args (@t17 @t494))
% 113.02/113.25  (step @p766 :rule cong :premises (@p765) :args ((forall @t9 (=> @t17 @t494))))
% 113.02/113.25  (step @p767 :rule eq-symm :args (@t95 @t2))
% 113.02/113.25  (step @p768 :rule cong :premises (@p114 @p767) :args (@t96))
% 113.02/113.25  (step @p769 :rule cong :premises (@p768) :args (@t97))
% 113.02/113.25  (step @p770 :rule trans :premises (@p769 @p766))
% 113.02/113.25  (step @p771 :rule eq_resolve :premises (@p84 @p770))
% 113.02/113.25  (step @p772 :rule instantiate :premises (@p771) :args ((@list @t415)))
% 113.02/113.25  (step @p773 :rule bool-double-not-elim :args (@t427))
% 113.02/113.25  (step @p774 :rule nary_cong :premises (@p619 @p773) :args ((or @t429 (not @t428))))
% 113.02/113.25  (step @p775 :rule cnf_or_neg :args (@t429 0))
% 113.02/113.25  (step @p776 :rule eq_resolve :premises (@p775 @p774))
% 113.02/113.25  (step @p777 :rule reordering :premises (@p776) :args ((or @t427 @t429)))
% 113.02/113.25  (step @p778 :rule chain_m_resolution :premises (@p777 @p617) :args (@t427 @t440 @t441))
% 113.02/113.25  (step @p779 :rule cnf_or_pos :args (@t496))
% 113.02/113.25  (step @p780 :rule reordering :premises (@p779) :args ((or @t428 @t495 (not @t496))))
% 113.02/113.25  (step @p781 :rule chain_m_resolution :premises (@p780 @p778 @p772) :args (@t495 @t443 (@list @t427 @t496)))
% 113.02/113.25  (step @p782 :rule trans :premises (@p781 @p764))
% 113.02/113.25  (step @p783 :rule refl :args (@t413))
% 113.02/113.25  (step @p784 :rule bool-impl-elim :args (@t17 @t497))
% 113.02/113.25  (step @p785 :rule cong :premises (@p784) :args ((forall @t9 (=> @t17 @t497))))
% 113.02/113.25  (step @p786 :rule eq-symm :args (@t72 @t2))
% 113.02/113.25  (step @p787 :rule cong :premises (@p114 @p786) :args (@t73))
% 113.02/113.25  (step @p788 :rule cong :premises (@p787) :args (@t74))
% 113.02/113.25  (step @p789 :rule trans :premises (@p788 @p785))
% 113.02/113.25  (step @p790 :rule eq_resolve :premises (@p28 @p789))
% 113.02/113.25  (step @p791 :rule instantiate :premises (@p790) :args ((@list @t412)))
% 113.02/113.25  (step @p792 :rule cnf_or_pos :args (@t499))
% 113.02/113.25  (step @p793 :rule reordering :premises (@p792) :args ((or @t486 @t498 (not @t499))))
% 113.02/113.25  (step @p794 :rule chain_m_resolution :premises (@p793 @p737 @p791) :args (@t498 @t443 (@list @t420 @t499)))
% 113.02/113.25  (step @p795 :rule cong :premises (@p794 @p783) :args (@t500))
% 113.02/113.25  (step @p796 :rule aci_norm :args ((= @t508 @t506)))
% 113.02/113.25  (step @p797 :rule cong :premises (@p796) :args (@t510))
% 113.02/113.25  (step @p798 :rule quant-merge-prenex :args ((= (forall @t9 @t512) @t510)))
% 113.02/113.25  (step @p799 :rule alpha_equiv :args (@t513 (@list @t501 @t502) (@list @t1 @t514)))
% 113.02/113.25  (step @p800 :rule nary_cong :premises (@p104 @p799) :args (@t515))
% 113.02/113.25  (step @p801 :rule quant-miniscope-or :args ((= @t512 @t515)))
% 113.02/113.25  (step @p802 :rule trans :premises (@p801 @p800))
% 113.02/113.25  (step @p803 :rule symm :premises (@p802))
% 113.02/113.25  (step @p804 :rule cong :premises (@p803) :args ((forall @t9 (or @t158 @t520))))
% 113.02/113.25  (step @p805 :rule trans :premises (@p804 @p798))
% 113.02/113.25  (step @p806 :rule trans :premises (@p805 @p797))
% 113.02/113.25  (step @p807 :rule bool-impl-elim :args (@t17 @t520))
% 113.02/113.25  (step @p808 :rule cong :premises (@p807) :args ((forall @t9 (=> @t17 @t520))))
% 113.02/113.25  (step @p809 :rule trans :premises (@p808 @p806))
% 113.02/113.25  (step @p810 :rule aci_norm :args ((= @t522 @t518)))
% 113.02/113.25  (step @p811 :rule cong :premises (@p810) :args (@t523))
% 113.02/113.25  (step @p812 :rule quant-merge-prenex :args ((= (forall @t7 @t525) @t523)))
% 113.02/113.25  (step @p813 :rule alpha_equiv :args (@t526 (@list @t514) (@list @t12)))
% 113.02/113.25  (step @p814 :rule refl :args (@t208))
% 113.02/113.25  (step @p815 :rule nary_cong :premises (@p814 @p813) :args (@t527))
% 113.02/113.25  (step @p816 :rule quant-miniscope-or :args ((= @t525 @t527)))
% 113.02/113.25  (step @p817 :rule trans :premises (@p816 @p815))
% 113.02/113.25  (step @p818 :rule symm :premises (@p817))
% 113.02/113.25  (step @p819 :rule cong :premises (@p818) :args ((forall @t7 (or @t208 @t528))))
% 113.02/113.25  (step @p820 :rule trans :premises (@p819 @p812))
% 113.02/113.25  (step @p821 :rule trans :premises (@p820 @p811))
% 113.02/113.25  (step @p822 :rule bool-impl-elim :args (@t21 @t528))
% 113.02/113.25  (step @p823 :rule cong :premises (@p822) :args ((forall @t7 (=> @t21 @t528))))
% 113.02/113.25  (step @p824 :rule trans :premises (@p823 @p821))
% 113.02/113.25  (step @p825 :rule bool-impl-elim :args (@t34 @t66))
% 113.02/113.25  (step @p826 :rule cong :premises (@p825) :args (@t67))
% 113.02/113.25  (step @p827 :rule cong :premises (@p581 @p826) :args (@t68))
% 113.02/113.25  (step @p828 :rule cong :premises (@p827) :args (@t69))
% 113.02/113.25  (step @p829 :rule trans :premises (@p828 @p824))
% 113.02/113.25  (step @p830 :rule cong :premises (@p114 @p829) :args (@t70))
% 113.02/113.25  (step @p831 :rule cong :premises (@p830) :args (@t71))
% 113.02/113.25  (step @p832 :rule trans :premises (@p831 @p809))
% 113.02/113.25  (step @p833 :rule eq_resolve :premises (@p27 @p832))
% 113.02/113.25  (step @p834 :rule eq-symm :args (@t530 @t500))
% 113.02/113.25  (step @p835 :rule nary_cong :premises (@p680 @p155 @p681 @p834) :args (@t531))
% 113.02/113.25  (step @p836 :rule refl :args (@t532))
% 113.02/113.25  (step @p837 :rule cong :premises (@p836 @p835) :args ((=> @t532 @t531)))
% 113.02/113.25  (assume-push @p899 @t532)
% 113.02/113.25  (step @p839 :rule instantiate :premises (@p833) :args ((@list @t413 tptp.nil @t184)))
% 113.02/113.25  (step-pop @p900 :rule scope :premises (@p839))
% 113.02/113.25  (step @p840 :rule process_scope :premises (@p900) :args (@t531))
% 113.02/113.25  (step @p842 :rule eq_resolve :premises (@p840 @p837))
% 113.02/113.25  (step @p843 :rule implies_elim :premises (@p842))
% 113.02/113.25  (step @p844 :rule chain_m_resolution :premises (@p843 @p833) :args (@t534 @t194 (@list @t532)))
% 113.02/113.25  (step @p845 :rule cnf_or_pos :args (@t534))
% 113.02/113.25  (step @p846 :rule reordering :premises (@p845) :args ((or @t213 @t456 @t455 @t533 (not @t534))))
% 113.02/113.25  (step @p847 :rule chain_m_resolution :premises (@p846 @p17 @p639 @p669 @p844) :args (@t533 (@list false false false false) (@list @t45 @t185 @t419 @t534)))
% 113.02/113.25  (step @p848 :rule symm :premises (@p847))
% 113.02/113.25  (step @p849 :rule instantiate :premises (@p790) :args ((@list @t413)))
% 113.02/113.25  (step @p850 :rule cnf_or_pos :args (@t536))
% 113.02/113.25  (step @p851 :rule reordering :premises (@p850) :args ((or @t455 @t535 (not @t536))))
% 113.02/113.25  (step @p852 :rule chain_m_resolution :premises (@p851 @p669 @p849) :args (@t535 @t443 (@list @t419 @t536)))
% 113.02/113.25  (step @p853 :rule refl :args (@t184))
% 113.02/113.25  (step @p854 :rule cong :premises (@p853 @p852) :args (@t537))
% 113.02/113.25  (step @p855 :rule aci_norm :args ((= (or @t158 (or @t157 @t538)) @t539)))
% 113.02/113.25  (step @p856 :rule refl :args (@t538))
% 113.02/113.25  (step @p857 :rule nary_cong :premises (@p100 @p856) :args ((or @t161 @t538)))
% 113.02/113.25  (step @p858 :rule bool-impl-elim :args (@t160 @t538))
% 113.02/113.25  (step @p859 :rule trans :premises (@p858 @p857))
% 113.02/113.25  (step @p860 :rule nary_cong :premises (@p104 @p859) :args ((or @t158 @t540)))
% 113.02/113.25  (step @p861 :rule trans :premises (@p860 @p855))
% 113.02/113.25  (step @p862 :rule bool-impl-elim :args (@t17 @t540))
% 113.02/113.25  (step @p863 :rule trans :premises (@p862 @p861))
% 113.02/113.25  (step @p864 :rule cong :premises (@p863) :args ((forall @t9 (=> @t17 @t540))))
% 113.02/113.25  (step @p865 :rule eq-symm :args (@t90 @t2))
% 113.02/113.25  (step @p866 :rule cong :premises (@p112 @p865) :args (@t91))
% 113.02/113.25  (step @p867 :rule cong :premises (@p114 @p866) :args (@t92))
% 113.02/113.25  (step @p868 :rule cong :premises (@p867) :args (@t93))
% 113.02/113.25  (step @p869 :rule trans :premises (@p868 @p864))
% 113.02/113.25  (step @p870 :rule eq_resolve :premises (@p78 @p869))
% 113.02/113.25  (step @p871 :rule refl :args (@t541))
% 113.02/113.25  (step @p872 :rule nary_cong :premises (@p121 @p120 @p871) :args (@t542))
% 113.02/113.25  (step @p873 :rule refl :args (@t543))
% 113.02/113.25  (step @p874 :rule cong :premises (@p873 @p872) :args ((=> @t543 @t542)))
% 113.02/113.25  (assume-push @p901 @t543)
% 113.02/113.25  (step @p876 :rule instantiate :premises (@p870) :args (@t191))
% 113.02/113.25  (step-pop @p902 :rule scope :premises (@p876))
% 113.02/113.25  (step @p877 :rule process_scope :premises (@p902) :args (@t542))
% 113.02/113.25  (step @p879 :rule eq_resolve :premises (@p877 @p874))
% 113.02/113.25  (step @p880 :rule implies_elim :premises (@p879))
% 113.02/113.25  (step @p881 :rule chain_m_resolution :premises (@p880 @p870) :args (@t544 @t194 (@list @t543)))
% 113.02/113.25  (step @p882 :rule cnf_or_pos :args (@t544))
% 113.02/113.25  (step @p883 :rule reordering :premises (@p882) :args ((or @t187 @t192 @t541 (not @t544))))
% 113.02/113.25  (step @p884 :rule chain_m_resolution :premises (@p883 @p624 @p636 @p881) :args (@t541 @t444 (@list @t186 @t192 @t544)))
% 113.02/113.25  (step @p885 :rule trans :premises (@p884 @p854 @p848 @p795))
% 113.02/113.25  (step @p886 :rule cnf_or_pos :args (@t462))
% 113.02/113.25  (step @p887 :rule reordering :premises (@p886) :args ((or @t213 @t456 @t455 @t461 @t459 (not @t462))))
% 113.02/113.25  (step @p888 false :rule chain_m_resolution :premises (@p887 @p885 @p782 @p691 @p669 @p639 @p17) :args (false (@list false false false false false false) (@list @t460 @t458 @t462 @t419 @t185 @t45)))
% 113.02/113.25  )
% 113.02/113.25  % SZS output end Proof
% 113.02/113.25  % cvc5 exiting
%------------------------------------------------------------------------------