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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWC230+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:58:32 AM UTC 2026

% Result   : Theorem 239.06s 239.33s
% Output   : Proof 239.06s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC230+1 : TPTP v9.2.1. Released v2.4.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.34  % Computer : n005.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit : 300
% 0.15/0.34  % WCLimit  : 300
% 0.15/0.34  % DateTime : Tue Jun  2 19:27:33 EDT 2026
% 0.15/0.34  % CPUTime  : 
% 0.29/0.51  %----Proving TF0_NAR, FOF, or CNF
% 239.06/239.33  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 239.06/239.33  --- Run --no-e-matching --full-saturate-quant at 6...
% 239.06/239.33  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 239.06/239.33  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 239.06/239.33  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 239.06/239.33  --- Run --trigger-sel=max --full-saturate-quant at 15...
% 239.06/239.33  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33...
% 239.06/239.33  --- Run --multi-trigger-cache --full-saturate-quant at 15...
% 239.06/239.33  --- Run --prenex-quant=none --full-saturate-quant at 30...
% 239.06/239.33  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15...
% 239.06/239.33  --- Run --relevant-triggers --full-saturate-quant at 30...
% 239.06/239.33  --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 15...
% 239.06/239.33  --- Run --pre-skolem-quant=on --full-saturate-quant at 15...
% 239.06/239.33  --- Run --cbqi-vo-exp --full-saturate-quant at 36...
% 239.06/239.33  % SZS status Theorem
% 239.06/239.33  % SZS output start Proof
% 239.06/239.33  (
% 239.06/239.33  (declare-sort $$unsorted 0)
% 239.06/239.33  (declare-const tptp.tl (-> $$unsorted $$unsorted))
% 239.06/239.33  (declare-const tptp.hd (-> $$unsorted $$unsorted))
% 239.06/239.33  (declare-const tptp.duplicatefreeP (-> $$unsorted Bool))
% 239.06/239.33  (declare-const tptp.strictorderedP (-> $$unsorted Bool))
% 239.06/239.33  (declare-const tptp.geq (-> $$unsorted $$unsorted Bool))
% 239.06/239.33  (declare-const tptp.strictorderP (-> $$unsorted Bool))
% 239.06/239.33  (declare-const tptp.equalelemsP (-> $$unsorted Bool))
% 239.06/239.33  (declare-const tptp.totalorderP (-> $$unsorted Bool))
% 239.06/239.33  (declare-const tptp.neq (-> $$unsorted $$unsorted Bool))
% 239.06/239.33  (declare-const tptp.totalorderedP (-> $$unsorted Bool))
% 239.06/239.33  (declare-const tptp.singletonP (-> $$unsorted Bool))
% 239.06/239.33  (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted))
% 239.06/239.33  (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted))
% 239.06/239.33  (declare-const tptp.nil $$unsorted)
% 239.06/239.33  (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool))
% 239.06/239.33  (declare-const tptp.lt (-> $$unsorted $$unsorted Bool))
% 239.06/239.33  (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool))
% 239.06/239.33  (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool))
% 239.06/239.33  (declare-const tptp.gt (-> $$unsorted $$unsorted Bool))
% 239.06/239.33  (declare-const tptp.ssList (-> $$unsorted Bool))
% 239.06/239.33  (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool))
% 239.06/239.33  (declare-const tptp.cyclefreeP (-> $$unsorted Bool))
% 239.06/239.33  (declare-const tptp.ssItem (-> $$unsorted Bool))
% 239.06/239.33  (declare-const tptp.leq (-> $$unsorted $$unsorted Bool))
% 239.06/239.33  (define @t1 () (@var "V" $$unsorted))
% 239.06/239.33  (define @t2 () (@var "U" $$unsorted))
% 239.06/239.33  (define @t3 () (= @t2 @t1))
% 239.06/239.33  (define @t4 () (not @t3))
% 239.06/239.33  (define @t5 () (= (tptp.neq @t2 @t1) @t4))
% 239.06/239.33  (define @t6 () (tptp.ssItem @t1))
% 239.06/239.33  (define @t7 () (@list @t1))
% 239.06/239.33  (define @t8 () (tptp.ssItem @t2))
% 239.06/239.33  (define @t9 () (@list @t2))
% 239.06/239.33  (define @t10 () (@var "X" $$unsorted))
% 239.06/239.33  (define @t11 () (tptp.cons @t1 @t10))
% 239.06/239.33  (define @t12 () (@var "W" $$unsorted))
% 239.06/239.33  (define @t13 () (tptp.ssList @t10))
% 239.06/239.33  (define @t14 () (@list @t10))
% 239.06/239.33  (define @t15 () (tptp.ssList @t12))
% 239.06/239.33  (define @t16 () (@list @t12))
% 239.06/239.33  (define @t17 () (tptp.ssList @t2))
% 239.06/239.33  (define @t18 () (tptp.cons @t1 tptp.nil))
% 239.06/239.33  (define @t19 () (tptp.app @t1 @t12))
% 239.06/239.33  (define @t20 () (tptp.frontsegP @t2 @t1))
% 239.06/239.33  (define @t21 () (tptp.ssList @t1))
% 239.06/239.33  (define @t22 () (tptp.app @t12 @t1))
% 239.06/239.33  (define @t23 () (tptp.rearsegP @t2 @t1))
% 239.06/239.33  (define @t24 () (tptp.segmentP @t2 @t1))
% 239.06/239.33  (define @t25 () (tptp.leq @t12 @t1))
% 239.06/239.33  (define @t26 () (tptp.leq @t1 @t12))
% 239.06/239.33  (define @t27 () (@var "Z" $$unsorted))
% 239.06/239.33  (define @t28 () (@var "Y" $$unsorted))
% 239.06/239.33  (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2))
% 239.06/239.33  (define @t30 () (tptp.ssList @t27))
% 239.06/239.33  (define @t31 () (@list @t27))
% 239.06/239.33  (define @t32 () (tptp.ssList @t28))
% 239.06/239.33  (define @t33 () (@list @t28))
% 239.06/239.33  (define @t34 () (tptp.ssItem @t12))
% 239.06/239.33  (define @t35 () (tptp.lt @t1 @t12))
% 239.06/239.33  (define @t36 () (= @t1 @t12))
% 239.06/239.33  (define @t37 () (tptp.cons @t1 @t2))
% 239.06/239.33  (define @t38 () (tptp.ssList @t37))
% 239.06/239.33  (define @t39 () (forall @t7 (=> @t6 @t38)))
% 239.06/239.33  (define @t40 () (=> @t17 @t39))
% 239.06/239.33  (define @t41 () (forall @t9 @t40))
% 239.06/239.33  (define @t42 () (tptp.ssList tptp.nil))
% 239.06/239.33  (define @t43 () (= @t1 @t2))
% 239.06/239.33  (define @t44 () (tptp.cons @t12 @t1))
% 239.06/239.33  (define @t45 () (and @t34 (= @t44 @t2)))
% 239.06/239.33  (define @t46 () (exists @t16 @t45))
% 239.06/239.33  (define @t47 () (and @t21 @t46))
% 239.06/239.33  (define @t48 () (exists @t7 @t47))
% 239.06/239.33  (define @t49 () (= tptp.nil @t2))
% 239.06/239.33  (define @t50 () (or @t49 @t48))
% 239.06/239.33  (define @t51 () (=> @t17 @t50))
% 239.06/239.33  (define @t52 () (forall @t9 @t51))
% 239.06/239.33  (define @t53 () (tptp.hd @t2))
% 239.06/239.33  (define @t54 () (tptp.ssItem @t53))
% 239.06/239.33  (define @t55 () (not @t49))
% 239.06/239.33  (define @t56 () (=> @t55 @t54))
% 239.06/239.33  (define @t57 () (=> @t17 @t56))
% 239.06/239.33  (define @t58 () (forall @t9 @t57))
% 239.06/239.33  (define @t59 () (tptp.tl @t2))
% 239.06/239.33  (define @t60 () (tptp.tl @t37))
% 239.06/239.33  (define @t61 () (=> @t6 (= @t60 @t2)))
% 239.06/239.33  (define @t62 () (forall @t7 @t61))
% 239.06/239.33  (define @t63 () (=> @t17 @t62))
% 239.06/239.33  (define @t64 () (forall @t9 @t63))
% 239.06/239.33  (define @t65 () (tptp.app @t2 @t1))
% 239.06/239.33  (define @t66 () (tptp.app @t1 @t2))
% 239.06/239.33  (define @t67 () (tptp.app tptp.nil @t2))
% 239.06/239.33  (define @t68 () (=> @t17 (= @t67 @t2)))
% 239.06/239.33  (define @t69 () (forall @t9 @t68))
% 239.06/239.33  (define @t70 () (tptp.leq @t1 @t2))
% 239.06/239.33  (define @t71 () (tptp.leq @t2 @t1))
% 239.06/239.33  (define @t72 () (tptp.geq @t2 @t1))
% 239.06/239.33  (define @t73 () (tptp.lt @t1 @t2))
% 239.06/239.33  (define @t74 () (tptp.lt @t2 @t1))
% 239.06/239.33  (define @t75 () (tptp.lt @t2 @t12))
% 239.06/239.33  (define @t76 () (tptp.gt @t2 @t1))
% 239.06/239.33  (define @t77 () (tptp.memberP @t12 @t2))
% 239.06/239.33  (define @t78 () (not (tptp.memberP tptp.nil @t2)))
% 239.06/239.33  (define @t79 () (forall @t9 (=> @t8 @t78)))
% 239.06/239.33  (define @t80 () (tptp.app @t12 @t2))
% 239.06/239.33  (define @t81 () (tptp.cons @t2 tptp.nil))
% 239.06/239.33  (define @t82 () (tptp.hd @t1))
% 239.06/239.33  (define @t83 () (= tptp.nil @t1))
% 239.06/239.33  (define @t84 () (not @t83))
% 239.06/239.33  (define @t85 () (tptp.cons @t2 @t1))
% 239.06/239.33  (define @t86 () (tptp.cons @t53 @t59))
% 239.06/239.33  (define @t87 () (=> @t55 (= @t86 @t2)))
% 239.06/239.33  (define @t88 () (=> @t17 @t87))
% 239.06/239.33  (define @t89 () (forall @t9 @t88))
% 239.06/239.33  (define @t90 () (= @t12 @t2))
% 239.06/239.33  (define @t91 () (= @t37 (tptp.app @t18 @t2)))
% 239.06/239.33  (define @t92 () (forall @t7 (=> @t6 @t91)))
% 239.06/239.33  (define @t93 () (=> @t17 @t92))
% 239.06/239.33  (define @t94 () (forall @t9 @t93))
% 239.06/239.33  (define @t95 () (@var "X6" $$unsorted))
% 239.06/239.33  (define @t96 () (@var "X4" $$unsorted))
% 239.06/239.33  (define @t97 () (tptp.cons @t96 tptp.nil))
% 239.06/239.33  (define @t98 () (@var "X3" $$unsorted))
% 239.06/239.33  (define @t99 () (tptp.cons @t98 tptp.nil))
% 239.06/239.33  (define @t100 () (@var "X5" $$unsorted))
% 239.06/239.33  (define @t101 () (tptp.app (tptp.app @t100 @t99) @t97))
% 239.06/239.33  (define @t102 () (tptp.app @t101 @t95))
% 239.06/239.33  (define @t103 () (= @t98 @t96))
% 239.06/239.33  (define @t104 () (not @t103))
% 239.06/239.33  (define @t105 () (tptp.ssList @t95))
% 239.06/239.33  (define @t106 () (and @t105 @t104 (= @t102 @t12)))
% 239.06/239.33  (define @t107 () (@list @t95))
% 239.06/239.33  (define @t108 () (exists @t107 @t106))
% 239.06/239.33  (define @t109 () (tptp.ssList @t100))
% 239.06/239.33  (define @t110 () (and @t109 @t108))
% 239.06/239.33  (define @t111 () (@list @t100))
% 239.06/239.33  (define @t112 () (exists @t111 @t110))
% 239.06/239.33  (define @t113 () (tptp.ssItem @t96))
% 239.06/239.33  (define @t114 () (and @t113 @t112))
% 239.06/239.33  (define @t115 () (@list @t96))
% 239.06/239.33  (define @t116 () (exists @t115 @t114))
% 239.06/239.33  (define @t117 () (tptp.ssItem @t98))
% 239.06/239.33  (define @t118 () (and @t117 @t116))
% 239.06/239.33  (define @t119 () (@list @t98))
% 239.06/239.33  (define @t120 () (exists @t119 @t118))
% 239.06/239.33  (define @t121 () (@var "X2" $$unsorted))
% 239.06/239.33  (define @t122 () (tptp.lt @t28 @t121))
% 239.06/239.33  (define @t123 () (not (tptp.leq @t28 @t121)))
% 239.06/239.33  (define @t124 () (@var "X1" $$unsorted))
% 239.06/239.33  (define @t125 () (not (tptp.memberP @t124 @t121)))
% 239.06/239.33  (define @t126 () (not (tptp.memberP @t27 @t121)))
% 239.06/239.33  (define @t127 () (or @t126 @t125 @t123 @t122))
% 239.06/239.33  (define @t128 () (tptp.ssItem @t121))
% 239.06/239.33  (define @t129 () (@list @t121))
% 239.06/239.33  (define @t130 () (forall @t129 (=> @t128 @t127)))
% 239.06/239.33  (define @t131 () (tptp.cons @t28 tptp.nil))
% 239.06/239.33  (define @t132 () (tptp.app @t27 @t131))
% 239.06/239.33  (define @t133 () (tptp.app @t132 @t124))
% 239.06/239.33  (define @t134 () (tptp.ssList @t124))
% 239.06/239.33  (define @t135 () (and @t134 (= @t133 @t2) @t130))
% 239.06/239.33  (define @t136 () (@list @t124))
% 239.06/239.33  (define @t137 () (exists @t136 @t135))
% 239.06/239.33  (define @t138 () (and @t30 @t137))
% 239.06/239.33  (define @t139 () (exists @t31 @t138))
% 239.06/239.33  (define @t140 () (tptp.ssItem @t28))
% 239.06/239.33  (define @t141 () (and @t140 @t139))
% 239.06/239.33  (define @t142 () (exists @t33 @t141))
% 239.06/239.33  (define @t143 () (not (= @t2 @t12)))
% 239.06/239.33  (define @t144 () (not (= @t1 @t10)))
% 239.06/239.33  (define @t145 () (or @t144 @t143 @t49 @t142 @t120))
% 239.06/239.33  (define @t146 () (=> @t13 @t145))
% 239.06/239.33  (define @t147 () (forall @t14 @t146))
% 239.06/239.33  (define @t148 () (=> @t15 @t147))
% 239.06/239.33  (define @t149 () (forall @t16 @t148))
% 239.06/239.33  (define @t150 () (=> @t21 @t149))
% 239.06/239.33  (define @t151 () (forall @t7 @t150))
% 239.06/239.33  (define @t152 () (=> @t17 @t151))
% 239.06/239.33  (define @t153 () (forall @t9 @t152))
% 239.06/239.33  (define @t154 () (not @t153))
% 239.06/239.33  (define @t155 () (@var "BOUND_VARIABLE_11120" $$unsorted))
% 239.06/239.33  (define @t156 () (@var "BOUND_VARIABLE_11116" $$unsorted))
% 239.06/239.33  (define @t157 () (@var "BOUND_VARIABLE_11118" $$unsorted))
% 239.06/239.33  (define @t158 () (tptp.app (tptp.app (tptp.app @t157 @t99) (tptp.cons @t156 tptp.nil)) @t155))
% 239.06/239.33  (define @t159 () (not (tptp.ssList @t155)))
% 239.06/239.33  (define @t160 () (not (tptp.ssList @t157)))
% 239.06/239.33  (define @t161 () (= @t98 @t156))
% 239.06/239.33  (define @t162 () (not (tptp.ssItem @t156)))
% 239.06/239.33  (define @t163 () (not @t117))
% 239.06/239.33  (define @t164 () (@list @t98 @t156 @t157 @t155))
% 239.06/239.33  (define @t165 () (not (forall @t164 (or @t163 @t162 @t161 @t160 @t159 (not (= @t2 @t158))))))
% 239.06/239.33  (define @t166 () (@var "BOUND_VARIABLE_11016" $$unsorted))
% 239.06/239.33  (define @t167 () (@var "BOUND_VARIABLE_11014" $$unsorted))
% 239.06/239.33  (define @t168 () (not @t128))
% 239.06/239.33  (define @t169 () (not (forall @t129 (or @t168 (not (tptp.memberP @t167 @t121)) (not (tptp.memberP @t166 @t121)) @t123 @t122))))
% 239.06/239.33  (define @t170 () (tptp.app (tptp.app @t167 @t131) @t166))
% 239.06/239.33  (define @t171 () (not (= @t2 @t170)))
% 239.06/239.33  (define @t172 () (not (tptp.ssList @t166)))
% 239.06/239.33  (define @t173 () (not (tptp.ssList @t167)))
% 239.06/239.33  (define @t174 () (not @t140))
% 239.06/239.33  (define @t175 () (or @t174 @t173 @t172 @t171 @t169))
% 239.06/239.33  (define @t176 () (@list @t28 @t167 @t166))
% 239.06/239.33  (define @t177 () (not (forall @t176 @t175)))
% 239.06/239.33  (define @t178 () (= @t2 tptp.nil))
% 239.06/239.33  (define @t179 () (not @t17))
% 239.06/239.33  (define @t180 () (or @t179 @t178 @t177 @t165))
% 239.06/239.33  (define @t181 () (forall @t9 @t180))
% 239.06/239.33  (define @t182 () (not @t21))
% 239.06/239.33  (define @t183 () (forall @t7 @t182))
% 239.06/239.33  (define @t184 () (or @t183 @t180))
% 239.06/239.33  (define @t185 () (or @t179 @t178 @t177 @t165 @t183))
% 239.06/239.33  (define @t186 () (or @t178 @t177 @t179 @t165 @t183))
% 239.06/239.33  (define @t187 () (or @t178 @t177 @t179 @t165 @t182))
% 239.06/239.33  (define @t188 () (or @t182 @t178 @t177 @t179 @t165))
% 239.06/239.33  (define @t189 () (or @t178 @t177 @t182 @t179 @t165))
% 239.06/239.33  (define @t190 () (or @t179 @t165))
% 239.06/239.33  (define @t191 () (not (= @t2 @t2)))
% 239.06/239.33  (define @t192 () (or @t179 @t191 @t165))
% 239.06/239.33  (define @t193 () (not (= @t12 @t158)))
% 239.06/239.33  (define @t194 () (or @t163 @t162 @t161 @t160 @t159 @t193))
% 239.06/239.33  (define @t195 () (not (forall @t164 @t194)))
% 239.06/239.33  (define @t196 () (not @t15))
% 239.06/239.33  (define @t197 () (or @t143 @t196 @t143 @t195))
% 239.06/239.33  (define @t198 () (or @t196 @t143 @t195))
% 239.06/239.33  (define @t199 () (forall @t16 @t198))
% 239.06/239.33  (define @t200 () (or @t178 @t177 @t182 @t199))
% 239.06/239.33  (define @t201 () (or @t178 @t177 @t182 @t198))
% 239.06/239.33  (define @t202 () (or @t196 @t143 @t178 @t177 @t195 @t182))
% 239.06/239.33  (define @t203 () (or @t143 @t178 @t177 @t195 @t182))
% 239.06/239.33  (define @t204 () (not (= @t1 @t1)))
% 239.06/239.33  (define @t205 () (or @t182 @t204))
% 239.06/239.33  (define @t206 () (not @t13))
% 239.06/239.33  (define @t207 () (or @t144 @t206 @t144))
% 239.06/239.33  (define @t208 () (or @t206 @t144))
% 239.06/239.33  (define @t209 () (forall @t14 @t208))
% 239.06/239.33  (define @t210 () (or @t143 @t178 @t177 @t195 @t209))
% 239.06/239.33  (define @t211 () (or @t143 @t178 @t177 @t195 @t208))
% 239.06/239.33  (define @t212 () (or @t206 @t144 @t143 @t178 @t177 @t195))
% 239.06/239.33  (define @t213 () (or @t144 @t143 @t178 @t177 @t195))
% 239.06/239.33  (define @t214 () (or @t162 @t161 @t160 @t159 @t193))
% 239.06/239.33  (define @t215 () (or @t163 @t214))
% 239.06/239.33  (define @t216 () (forall @t164 @t215))
% 239.06/239.33  (define @t217 () (@list @t156 @t157 @t155))
% 239.06/239.33  (define @t218 () (forall @t217 @t215))
% 239.06/239.33  (define @t219 () (forall @t217 @t214))
% 239.06/239.33  (define @t220 () (@var "BOUND_VARIABLE_11090" $$unsorted))
% 239.06/239.33  (define @t221 () (@var "BOUND_VARIABLE_11088" $$unsorted))
% 239.06/239.33  (define @t222 () (or @t163 @t219))
% 239.06/239.33  (define @t223 () (not (= @t12 (tptp.app (tptp.app (tptp.app @t221 @t99) @t97) @t220))))
% 239.06/239.33  (define @t224 () (not (tptp.ssList @t220)))
% 239.06/239.33  (define @t225 () (not (tptp.ssList @t221)))
% 239.06/239.33  (define @t226 () (not @t113))
% 239.06/239.33  (define @t227 () (or @t226 @t103 @t225 @t224 @t223))
% 239.06/239.33  (define @t228 () (@list @t96 @t221 @t220))
% 239.06/239.33  (define @t229 () (forall @t228 @t227))
% 239.06/239.33  (define @t230 () (not @t229))
% 239.06/239.33  (define @t231 () (and @t117 @t230))
% 239.06/239.33  (define @t232 () (forall @t119 (not @t231)))
% 239.06/239.33  (define @t233 () (not @t232))
% 239.06/239.33  (define @t234 () (or @t225 @t224 @t223))
% 239.06/239.33  (define @t235 () (or @t226 @t103 @t234))
% 239.06/239.33  (define @t236 () (forall @t228 @t235))
% 239.06/239.33  (define @t237 () (@list @t221 @t220))
% 239.06/239.33  (define @t238 () (forall @t237 @t235))
% 239.06/239.33  (define @t239 () (forall @t237 @t234))
% 239.06/239.33  (define @t240 () (@var "BOUND_VARIABLE_11065" $$unsorted))
% 239.06/239.33  (define @t241 () (or @t226 @t103 @t239))
% 239.06/239.33  (define @t242 () (not (= @t12 (tptp.app @t101 @t240))))
% 239.06/239.33  (define @t243 () (not (tptp.ssList @t240)))
% 239.06/239.33  (define @t244 () (not @t109))
% 239.06/239.33  (define @t245 () (or @t244 @t243 @t242))
% 239.06/239.33  (define @t246 () (@list @t100 @t240))
% 239.06/239.33  (define @t247 () (forall @t246 @t245))
% 239.06/239.33  (define @t248 () (or @t226 @t103 @t247))
% 239.06/239.33  (define @t249 () (or @t103 @t247))
% 239.06/239.33  (define @t250 () (not @t249))
% 239.06/239.33  (define @t251 () (and @t113 @t250))
% 239.06/239.33  (define @t252 () (forall @t115 (not @t251)))
% 239.06/239.33  (define @t253 () (not @t252))
% 239.06/239.33  (define @t254 () (or @t243 @t242))
% 239.06/239.33  (define @t255 () (or @t244 @t254))
% 239.06/239.33  (define @t256 () (forall @t246 @t255))
% 239.06/239.33  (define @t257 () (@list @t240))
% 239.06/239.33  (define @t258 () (forall @t257 @t255))
% 239.06/239.33  (define @t259 () (forall @t257 @t254))
% 239.06/239.33  (define @t260 () (or @t244 @t259))
% 239.06/239.33  (define @t261 () (= @t12 @t102))
% 239.06/239.33  (define @t262 () (not @t261))
% 239.06/239.33  (define @t263 () (not @t105))
% 239.06/239.33  (define @t264 () (or @t263 @t262))
% 239.06/239.33  (define @t265 () (forall @t107 @t264))
% 239.06/239.33  (define @t266 () (or @t244 @t265))
% 239.06/239.33  (define @t267 () (forall @t111 @t266))
% 239.06/239.33  (define @t268 () (or @t103 @t267))
% 239.06/239.33  (define @t269 () (or @t103 @t266))
% 239.06/239.33  (define @t270 () (or @t244 @t103 @t265))
% 239.06/239.33  (define @t271 () (or @t103 @t265))
% 239.06/239.33  (define @t272 () (not @t271))
% 239.06/239.33  (define @t273 () (and @t109 @t272))
% 239.06/239.33  (define @t274 () (forall @t111 (not @t273)))
% 239.06/239.33  (define @t275 () (not @t274))
% 239.06/239.33  (define @t276 () (or @t103 @t264))
% 239.06/239.33  (define @t277 () (or @t263 @t103 @t262))
% 239.06/239.33  (define @t278 () (not @t104))
% 239.06/239.33  (define @t279 () (or @t263 @t278 @t262))
% 239.06/239.33  (define @t280 () (and @t105 @t104 @t261))
% 239.06/239.33  (define @t281 () (forall @t107 (not @t280)))
% 239.06/239.33  (define @t282 () (not @t281))
% 239.06/239.33  (define @t283 () (or @t173 @t172 @t171 @t169))
% 239.06/239.33  (define @t284 () (or @t174 @t283))
% 239.06/239.33  (define @t285 () (forall @t176 @t284))
% 239.06/239.33  (define @t286 () (@list @t167 @t166))
% 239.06/239.33  (define @t287 () (forall @t286 @t284))
% 239.06/239.33  (define @t288 () (forall @t286 @t283))
% 239.06/239.33  (define @t289 () (@var "BOUND_VARIABLE_10987" $$unsorted))
% 239.06/239.33  (define @t290 () (or @t174 @t288))
% 239.06/239.33  (define @t291 () (not (forall @t129 (or @t168 @t126 (not (tptp.memberP @t289 @t121)) @t123 @t122))))
% 239.06/239.33  (define @t292 () (not (= @t2 (tptp.app @t132 @t289))))
% 239.06/239.33  (define @t293 () (not (tptp.ssList @t289)))
% 239.06/239.33  (define @t294 () (not @t30))
% 239.06/239.33  (define @t295 () (or @t294 @t293 @t292 @t291))
% 239.06/239.33  (define @t296 () (@list @t27 @t289))
% 239.06/239.33  (define @t297 () (forall @t296 @t295))
% 239.06/239.33  (define @t298 () (not @t297))
% 239.06/239.33  (define @t299 () (and @t140 @t298))
% 239.06/239.33  (define @t300 () (forall @t33 (not @t299)))
% 239.06/239.33  (define @t301 () (not @t300))
% 239.06/239.33  (define @t302 () (or @t293 @t292 @t291))
% 239.06/239.33  (define @t303 () (or @t294 @t302))
% 239.06/239.33  (define @t304 () (forall @t296 @t303))
% 239.06/239.33  (define @t305 () (@list @t289))
% 239.06/239.33  (define @t306 () (forall @t305 @t303))
% 239.06/239.33  (define @t307 () (forall @t305 @t302))
% 239.06/239.33  (define @t308 () (or @t294 @t307))
% 239.06/239.33  (define @t309 () (or @t168 @t126 @t125 @t123 @t122))
% 239.06/239.33  (define @t310 () (forall @t129 @t309))
% 239.06/239.33  (define @t311 () (not @t310))
% 239.06/239.33  (define @t312 () (= @t2 @t133))
% 239.06/239.33  (define @t313 () (not @t312))
% 239.06/239.33  (define @t314 () (not @t134))
% 239.06/239.33  (define @t315 () (or @t314 @t313 @t311))
% 239.06/239.33  (define @t316 () (forall @t136 @t315))
% 239.06/239.33  (define @t317 () (not @t316))
% 239.06/239.33  (define @t318 () (and @t30 @t317))
% 239.06/239.33  (define @t319 () (forall @t31 (not @t318)))
% 239.06/239.33  (define @t320 () (not @t319))
% 239.06/239.33  (define @t321 () (and @t134 @t312 @t310))
% 239.06/239.33  (define @t322 () (forall @t136 (not @t321)))
% 239.06/239.33  (define @t323 () (not @t322))
% 239.06/239.33  (define @t324 () (@quantifiers_skolemize @t181 0))
% 239.06/239.33  (define @t325 () (forall @t176 (or @t174 @t173 @t172 (not (= @t170 @t324)) @t169)))
% 239.06/239.33  (define @t326 () (not @t325))
% 239.06/239.33  (define @t327 () (= tptp.nil @t324))
% 239.06/239.33  (define @t328 () (tptp.ssList @t324))
% 239.06/239.33  (define @t329 () (not @t328))
% 239.06/239.33  (define @t330 () (or @t329 @t327 @t326 (not (forall @t164 (or @t163 @t162 @t161 @t160 @t159 (not (= @t158 @t324)))))))
% 239.06/239.33  (define @t331 () (not @t330))
% 239.06/239.33  (define @t332 () (not @t181))
% 239.06/239.33  (define @t333 () (not (= @t324 @t158)))
% 239.06/239.33  (define @t334 () (or @t163 @t162 @t161 @t160 @t159 @t333))
% 239.06/239.33  (define @t335 () (forall @t164 @t334))
% 239.06/239.33  (define @t336 () (not @t335))
% 239.06/239.33  (define @t337 () (not (= @t324 @t170)))
% 239.06/239.33  (define @t338 () (or @t174 @t173 @t172 @t337 @t169))
% 239.06/239.33  (define @t339 () (forall @t176 @t338))
% 239.06/239.33  (define @t340 () (not @t339))
% 239.06/239.33  (define @t341 () (= @t324 tptp.nil))
% 239.06/239.33  (define @t342 () (or @t329 @t341 @t340 @t336))
% 239.06/239.33  (define @t343 () (not @t342))
% 239.06/239.33  (define @t344 () (@list true))
% 239.06/239.33  (define @t345 () (@list @t330))
% 239.06/239.33  (define @t346 () (tptp.hd @t324))
% 239.06/239.33  (define @t347 () (@var "BOUND_VARIABLE_9300" $$unsorted))
% 239.06/239.33  (define @t348 () (tptp.cons @t347 @t1))
% 239.06/239.33  (define @t349 () (not (tptp.ssItem @t347)))
% 239.06/239.33  (define @t350 () (@list @t1 @t347))
% 239.06/239.33  (define @t351 () (forall @t350 (or @t182 @t349 (not (= @t348 @t324)))))
% 239.06/239.33  (define @t352 () (@quantifiers_skolemize @t351 0))
% 239.06/239.33  (define @t353 () (forall @t129 (or @t168 (not (tptp.memberP tptp.nil @t121)) (not (tptp.memberP @t352 @t121)) (not (tptp.leq @t346 @t121)) (tptp.lt @t346 @t121))))
% 239.06/239.33  (define @t354 () (not @t353))
% 239.06/239.33  (define @t355 () (tptp.cons @t346 tptp.nil))
% 239.06/239.33  (define @t356 () (tptp.app tptp.nil @t355))
% 239.06/239.33  (define @t357 () (tptp.app @t356 @t352))
% 239.06/239.33  (define @t358 () (not (= @t357 @t324)))
% 239.06/239.33  (define @t359 () (tptp.ssList @t352))
% 239.06/239.33  (define @t360 () (not @t359))
% 239.06/239.33  (define @t361 () (not @t42))
% 239.06/239.33  (define @t362 () (tptp.ssItem @t346))
% 239.06/239.33  (define @t363 () (not @t362))
% 239.06/239.33  (define @t364 () (or @t363 @t361 @t360 @t358 @t354))
% 239.06/239.33  (define @t365 () (= @t324 @t357))
% 239.06/239.33  (define @t366 () (not @t365))
% 239.06/239.33  (define @t367 () (or @t363 @t361 @t360 @t366 @t354))
% 239.06/239.33  (define @t368 () (@list false))
% 239.06/239.33  (define @t369 () (@var "BOUND_VARIABLE_9387" $$unsorted))
% 239.06/239.33  (define @t370 () (= @t2 (tptp.tl (tptp.cons @t369 @t2))))
% 239.06/239.33  (define @t371 () (not (tptp.ssItem @t369)))
% 239.06/239.33  (define @t372 () (or @t371 @t370))
% 239.06/239.33  (define @t373 () (or @t179 @t372))
% 239.06/239.33  (define @t374 () (forall (@list @t2 @t369) @t373))
% 239.06/239.33  (define @t375 () (@list @t369))
% 239.06/239.33  (define @t376 () (forall @t375 @t373))
% 239.06/239.33  (define @t377 () (forall @t375 @t372))
% 239.06/239.33  (define @t378 () (@list @t1))
% 239.06/239.33  (define @t379 () (or @t179 @t377))
% 239.06/239.33  (define @t380 () (= @t2 @t60))
% 239.06/239.33  (define @t381 () (not @t6))
% 239.06/239.33  (define @t382 () (forall @t7 (or @t381 @t380)))
% 239.06/239.33  (define @t383 () (@quantifiers_skolemize @t351 1))
% 239.06/239.33  (define @t384 () (not (= @t2 @t348)))
% 239.06/239.33  (define @t385 () (or @t182 @t349 @t384))
% 239.06/239.33  (define @t386 () (not (forall @t350 @t385)))
% 239.06/239.33  (define @t387 () (or @t179 @t178 @t386))
% 239.06/239.33  (define @t388 () (or @t178 @t386))
% 239.06/239.33  (define @t389 () (or @t349 @t384))
% 239.06/239.33  (define @t390 () (or @t182 @t389))
% 239.06/239.33  (define @t391 () (forall @t350 @t390))
% 239.06/239.33  (define @t392 () (@list @t347))
% 239.06/239.33  (define @t393 () (forall @t392 @t390))
% 239.06/239.33  (define @t394 () (forall @t392 @t389))
% 239.06/239.33  (define @t395 () (or @t182 @t394))
% 239.06/239.33  (define @t396 () (= @t2 @t44))
% 239.06/239.33  (define @t397 () (forall @t16 (or (not @t34) (not @t396))))
% 239.06/239.33  (define @t398 () (not @t397))
% 239.06/239.33  (define @t399 () (and @t21 @t398))
% 239.06/239.33  (define @t400 () (forall @t7 (not @t399)))
% 239.06/239.33  (define @t401 () (not @t400))
% 239.06/239.33  (define @t402 () (and @t34 @t396))
% 239.06/239.33  (define @t403 () (forall @t16 (not @t402)))
% 239.06/239.33  (define @t404 () (not @t403))
% 239.06/239.33  (define @t405 () (not (= @t324 @t348)))
% 239.06/239.33  (define @t406 () (or @t182 @t349 @t405))
% 239.06/239.33  (define @t407 () (forall @t350 @t406))
% 239.06/239.33  (define @t408 () (not @t407))
% 239.06/239.33  (define @t409 () (or @t329 @t341 @t408))
% 239.06/239.33  (define @t410 () (forall @t9 @t387))
% 239.06/239.33  (define @t411 () (@list @t324))
% 239.06/239.33  (define @t412 () (not @t351))
% 239.06/239.33  (define @t413 () (or @t329 @t327 @t412))
% 239.06/239.33  (define @t414 () (@list false true false))
% 239.06/239.33  (define @t415 () (tptp.cons @t383 @t352))
% 239.06/239.33  (define @t416 () (= @t324 @t415))
% 239.06/239.33  (define @t417 () (not @t416))
% 239.06/239.33  (define @t418 () (tptp.ssItem @t383))
% 239.06/239.33  (define @t419 () (not @t418))
% 239.06/239.33  (define @t420 () (or @t360 @t419 @t417))
% 239.06/239.33  (define @t421 () (not @t420))
% 239.06/239.33  (define @t422 () (not (= @t415 @t324)))
% 239.06/239.33  (define @t423 () (or @t360 @t419 @t422))
% 239.06/239.33  (define @t424 () (not @t423))
% 239.06/239.33  (define @t425 () (@list @t420))
% 239.06/239.33  (define @t426 () (= @t352 (tptp.tl @t415)))
% 239.06/239.33  (define @t427 () (or @t360 @t419 @t426))
% 239.06/239.33  (define @t428 () (@list false false false))
% 239.06/239.33  (define @t429 () (tptp.tl @t324))
% 239.06/239.33  (define @t430 () (= @t2 @t67))
% 239.06/239.33  (define @t431 () (@var "BOUND_VARIABLE_9163" $$unsorted))
% 239.06/239.33  (define @t432 () (tptp.ssList (tptp.cons @t431 @t2)))
% 239.06/239.33  (define @t433 () (not (tptp.ssItem @t431)))
% 239.06/239.33  (define @t434 () (or @t433 @t432))
% 239.06/239.33  (define @t435 () (or @t179 @t434))
% 239.06/239.33  (define @t436 () (forall (@list @t2 @t431) @t435))
% 239.06/239.33  (define @t437 () (@list @t431))
% 239.06/239.33  (define @t438 () (forall @t437 @t435))
% 239.06/239.33  (define @t439 () (forall @t437 @t434))
% 239.06/239.33  (define @t440 () (or @t179 @t439))
% 239.06/239.33  (define @t441 () (forall @t7 (or @t381 @t38)))
% 239.06/239.33  (define @t442 () (or @t179 @t178 @t54))
% 239.06/239.33  (define @t443 () (not @t178))
% 239.06/239.33  (define @t444 () (not @t443))
% 239.06/239.33  (define @t445 () (=> @t443 @t54))
% 239.06/239.33  (define @t446 () (or @t329 @t341 @t362))
% 239.06/239.33  (define @t447 () (forall @t9 @t442))
% 239.06/239.33  (define @t448 () (or @t329 @t327 @t362))
% 239.06/239.33  (define @t449 () (tptp.ssList @t355))
% 239.06/239.33  (define @t450 () (or @t361 @t363 @t449))
% 239.06/239.33  (define @t451 () (= @t355 @t356))
% 239.06/239.33  (define @t452 () (not @t449))
% 239.06/239.33  (define @t453 () (or @t452 @t451))
% 239.06/239.33  (define @t454 () (@list false false))
% 239.06/239.33  (define @t455 () (tptp.app @t355 @t429))
% 239.06/239.33  (define @t456 () (@var "BOUND_VARIABLE_10566" $$unsorted))
% 239.06/239.33  (define @t457 () (= (tptp.cons @t456 @t2) (tptp.app (tptp.cons @t456 tptp.nil) @t2)))
% 239.06/239.33  (define @t458 () (not (tptp.ssItem @t456)))
% 239.06/239.33  (define @t459 () (or @t458 @t457))
% 239.06/239.33  (define @t460 () (or @t179 @t459))
% 239.06/239.33  (define @t461 () (forall (@list @t2 @t456) @t460))
% 239.06/239.33  (define @t462 () (@list @t456))
% 239.06/239.33  (define @t463 () (forall @t462 @t460))
% 239.06/239.33  (define @t464 () (forall @t462 @t459))
% 239.06/239.33  (define @t465 () (or @t179 @t464))
% 239.06/239.33  (define @t466 () (forall @t7 (or @t381 @t91)))
% 239.06/239.33  (define @t467 () (tptp.ssList @t429))
% 239.06/239.33  (define @t468 () (tptp.cons @t346 @t429))
% 239.06/239.33  (define @t469 () (= @t468 @t455))
% 239.06/239.33  (define @t470 () (not @t467))
% 239.06/239.33  (define @t471 () (or @t470 @t363 @t469))
% 239.06/239.33  (define @t472 () (= @t2 @t86))
% 239.06/239.33  (define @t473 () (or @t179 @t178 @t472))
% 239.06/239.33  (define @t474 () (=> @t443 @t472))
% 239.06/239.33  (define @t475 () (= @t324 @t468))
% 239.06/239.33  (define @t476 () (or @t329 @t341 @t475))
% 239.06/239.33  (define @t477 () (forall @t9 @t473))
% 239.06/239.33  (define @t478 () (or @t329 @t327 @t475))
% 239.06/239.33  (define @t479 () (@quantifiers_skolemize @t353 0))
% 239.06/239.33  (define @t480 () (tptp.memberP tptp.nil @t479))
% 239.06/239.33  (define @t481 () (not @t480))
% 239.06/239.33  (define @t482 () (tptp.ssItem @t479))
% 239.06/239.33  (define @t483 () (not @t482))
% 239.06/239.33  (define @t484 () (or @t483 @t481 (not (tptp.memberP @t352 @t479)) (not (tptp.leq @t346 @t479)) (tptp.lt @t346 @t479)))
% 239.06/239.33  (define @t485 () (@list @t484))
% 239.06/239.33  (define @t486 () (or @t483 @t481))
% 239.06/239.33  (define @t487 () (not @t486))
% 239.06/239.33  (define @t488 () (forall @t9 (or (not @t8) @t78)))
% 239.06/239.33  (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5)))))
% 239.06/239.33  (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4)))))
% 239.06/239.33  (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)))))))))))
% 239.06/239.33  (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2)))))))
% 239.06/239.33  (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2)))))))))
% 239.06/239.33  (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2)))))))))
% 239.06/239.33  (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2)))))))))))
% 239.06/239.33  (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)))))))))))))))))
% 239.06/239.33  (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))))))))))))))))
% 239.06/239.33  (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)))))))))))))))))
% 239.06/239.33  (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)))))))))))))))
% 239.06/239.33  (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)))))))))))))))
% 239.06/239.33  (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))))))))))))))))
% 239.06/239.33  (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)))))))))))))
% 239.06/239.33  (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5)))))
% 239.06/239.33  (assume @p16 @t41)
% 239.06/239.33  (assume @p17 @t42)
% 239.06/239.33  (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2)))))))
% 239.06/239.33  (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) @t43)))))))))))
% 239.06/239.33  (assume @p20 @t52)
% 239.06/239.33  (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37)))))))
% 239.06/239.33  (assume @p22 @t58)
% 239.06/239.33  (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1))))))
% 239.06/239.33  (assume @p24 (forall @t9 (=> @t17 (=> @t55 (tptp.ssList @t59)))))
% 239.06/239.33  (assume @p25 @t64)
% 239.06/239.33  (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t65))))))
% 239.06/239.33  (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t66) (tptp.app @t44 @t2)))))))))
% 239.06/239.33  (assume @p28 @t69)
% 239.06/239.33  (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t71 @t70) @t3))))))
% 239.06/239.33  (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t71 @t26) (tptp.leq @t2 @t12)))))))))
% 239.06/239.33  (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2))))
% 239.06/239.33  (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t72 @t70))))))
% 239.06/239.33  (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t74 (not @t73)))))))
% 239.06/239.33  (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t74 @t35) @t75))))))))
% 239.06/239.33  (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t76 @t73))))))
% 239.06/239.33  (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t77)))))))))
% 239.06/239.33  (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t77)))))))))
% 239.06/239.33  (assume @p38 @t79)
% 239.06/239.33  (assume @p39 (not (tptp.singletonP tptp.nil)))
% 239.06/239.33  (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12)))))))))
% 239.06/239.33  (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3))))))
% 239.06/239.33  (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2))))
% 239.06/239.33  (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1)))))))))
% 239.06/239.33  (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))))))))))))
% 239.06/239.33  (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil))))
% 239.06/239.33  (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t49))))
% 239.06/239.33  (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12)))))))))
% 239.06/239.33  (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3))))))
% 239.06/239.33  (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2))))
% 239.06/239.33  (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t80 @t1)))))))))
% 239.06/239.33  (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil))))
% 239.06/239.33  (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t49))))
% 239.06/239.33  (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12)))))))))
% 239.06/239.33  (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3))))))
% 239.06/239.33  (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2))))
% 239.06/239.33  (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t80 @t10) @t1)))))))))))
% 239.06/239.33  (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil))))
% 239.06/239.33  (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t49))))
% 239.06/239.33  (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t81))))
% 239.06/239.33  (assume @p60 (tptp.cyclefreeP tptp.nil))
% 239.06/239.33  (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t81))))
% 239.06/239.33  (assume @p62 (tptp.totalorderP tptp.nil))
% 239.06/239.33  (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t81))))
% 239.06/239.33  (assume @p64 (tptp.strictorderP tptp.nil))
% 239.06/239.33  (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t81))))
% 239.06/239.33  (assume @p66 (tptp.totalorderedP tptp.nil))
% 239.06/239.33  (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t85) (or @t83 (and @t84 (tptp.totalorderedP @t1) (tptp.leq @t2 @t82)))))))))
% 239.06/239.33  (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t81))))
% 239.06/239.33  (assume @p69 (tptp.strictorderedP tptp.nil))
% 239.06/239.33  (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t85) (or @t83 (and @t84 (tptp.strictorderedP @t1) (tptp.lt @t2 @t82)))))))))
% 239.06/239.33  (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t81))))
% 239.06/239.33  (assume @p72 (tptp.duplicatefreeP tptp.nil))
% 239.06/239.33  (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t81))))
% 239.06/239.33  (assume @p74 (tptp.equalelemsP tptp.nil))
% 239.06/239.33  (assume @p75 (forall @t9 (=> @t17 (=> @t55 (exists @t7 (and @t6 (= @t53 @t1)))))))
% 239.06/239.33  (assume @p76 (forall @t9 (=> @t17 (=> @t55 (exists @t7 (and @t21 (= @t59 @t1)))))))
% 239.06/239.33  (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t84 @t55 (= @t82 @t53) (= (tptp.tl @t1) @t59)) @t43))))))
% 239.06/239.33  (assume @p78 @t89)
% 239.06/239.33  (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t65) @t90))))))))
% 239.06/239.33  (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t66) @t90))))))))
% 239.06/239.33  (assume @p81 @t94)
% 239.06/239.33  (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t65 @t12) (tptp.app @t2 @t19)))))))))
% 239.06/239.33  (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t65) (and @t83 @t49)))))))
% 239.06/239.33  (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2))))
% 239.06/239.33  (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t55 (= (tptp.hd @t65) @t53)))))))
% 239.06/239.33  (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t55 (= (tptp.tl @t65) (tptp.app @t59 @t1))))))))
% 239.06/239.33  (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t72 (tptp.geq @t1 @t2)) @t3))))))
% 239.06/239.33  (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t72 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12)))))))))
% 239.06/239.33  (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2))))
% 239.06/239.33  (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2)))))
% 239.06/239.33  (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t71 @t35) @t75))))))))
% 239.06/239.33  (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t71 (or @t3 @t74)))))))
% 239.06/239.33  (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t74 (and @t4 @t71)))))))
% 239.06/239.33  (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t76 (not (tptp.gt @t1 @t2))))))))
% 239.06/239.33  (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t76 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12)))))))))
% 239.06/239.33  (assume @p96 @t154)
% 239.06/239.33  (assume @p97 true)
% 239.06/239.33  (step @p98 :rule bool-impl-elim :args (@t8 @t78))
% 239.06/239.33  (step @p99 :rule cong :premises (@p98) :args (@t79))
% 239.06/239.33  (step @p100 :rule eq_resolve :premises (@p38 @p99))
% 239.06/239.33  (step @p101 :rule quant-miniscope-or :args ((= (forall @t9 @t184) (or @t183 @t181))))
% 239.06/239.33  (step @p102 :rule aci_norm :args ((= @t185 @t184)))
% 239.06/239.33  (step @p103 :rule cong :premises (@p102) :args ((forall @t9 @t185)))
% 239.06/239.33  (step @p104 :rule trans :premises (@p103 @p101))
% 239.06/239.33  (step @p105 :rule aci_norm :args ((= (or @t179 @t186) @t185)))
% 239.06/239.33  (step @p106 :rule bool-impl-elim :args (@t17 @t186))
% 239.06/239.33  (step @p107 :rule trans :premises (@p106 @p105))
% 239.06/239.33  (step @p108 :rule cong :premises (@p107) :args ((forall @t9 (=> @t17 @t186))))
% 239.06/239.33  (step @p109 :rule trans :premises (@p108 @p104))
% 239.06/239.33  (step @p110 :rule quant-miniscope-or :args ((= (forall @t7 @t187) @t186)))
% 239.06/239.33  (step @p111 :rule aci_norm :args ((= @t188 @t187)))
% 239.06/239.33  (step @p112 :rule cong :premises (@p111) :args ((forall @t7 @t188)))
% 239.06/239.33  (step @p113 :rule trans :premises (@p112 @p110))
% 239.06/239.33  (step @p114 :rule aci_norm :args ((= (or @t182 @t189) @t188)))
% 239.06/239.33  (step @p115 :rule bool-impl-elim :args (@t21 @t189))
% 239.06/239.33  (step @p116 :rule trans :premises (@p115 @p114))
% 239.06/239.33  (step @p117 :rule cong :premises (@p116) :args ((forall @t7 (=> @t21 @t189))))
% 239.06/239.33  (step @p118 :rule trans :premises (@p117 @p113))
% 239.06/239.33  (step @p119 :rule aci_norm :args ((= (or @t178 @t177 @t182 @t190) @t189)))
% 239.06/239.33  (step @p120 :rule aci_norm :args ((= (or @t179 false @t165) @t190)))
% 239.06/239.33  (step @p121 :rule refl :args (@t165))
% 239.06/239.33  (step @p122 :rule evaluate :args ((not true)))
% 239.06/239.33  (step @p123 :rule eq-refl :args (@t2))
% 239.06/239.33  (step @p124 :rule cong :premises (@p123) :args (@t191))
% 239.06/239.33  (step @p125 :rule trans :premises (@p124 @p122))
% 239.06/239.33  (step @p126 :rule refl :args (@t179))
% 239.06/239.33  (step @p127 :rule nary_cong :premises (@p126 @p125 @p121) :args (@t192))
% 239.06/239.33  (step @p128 :rule trans :premises (@p127 @p120))
% 239.06/239.33  (step @p129 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t90) @t196 @t143 @t195)) @t192)))
% 239.06/239.33  (step @p130 :rule refl :args (@t195))
% 239.06/239.33  (step @p131 :rule refl :args (@t143))
% 239.06/239.33  (step @p132 :rule refl :args (@t196))
% 239.06/239.33  (step @p133 :rule eq-symm :args (@t2 @t12))
% 239.06/239.33  (step @p134 :rule cong :premises (@p133) :args (@t143))
% 239.06/239.33  (step @p135 :rule nary_cong :premises (@p134 @p132 @p131 @p130) :args (@t197))
% 239.06/239.33  (step @p136 :rule aci_norm :args ((= @t198 @t197)))
% 239.06/239.33  (step @p137 :rule trans :premises (@p136 @p135))
% 239.06/239.33  (step @p138 :rule cong :premises (@p137) :args (@t199))
% 239.06/239.33  (step @p139 :rule trans :premises (@p138 @p129))
% 239.06/239.33  (step @p140 :rule trans :premises (@p139 @p128))
% 239.06/239.33  (step @p141 :rule refl :args (@t182))
% 239.06/239.33  (step @p142 :rule refl :args (@t177))
% 239.06/239.33  (step @p143 :rule refl :args (@t178))
% 239.06/239.33  (step @p144 :rule nary_cong :premises (@p143 @p142 @p141 @p140) :args (@t200))
% 239.06/239.33  (step @p145 :rule trans :premises (@p144 @p119))
% 239.06/239.33  (step @p146 :rule quant-miniscope-or :args ((= (forall @t16 @t201) @t200)))
% 239.06/239.33  (step @p147 :rule aci_norm :args ((= @t202 @t201)))
% 239.06/239.33  (step @p148 :rule cong :premises (@p147) :args ((forall @t16 @t202)))
% 239.06/239.33  (step @p149 :rule trans :premises (@p148 @p146))
% 239.06/239.33  (step @p150 :rule trans :premises (@p149 @p145))
% 239.06/239.33  (step @p151 :rule aci_norm :args ((= (or @t196 @t203) @t202)))
% 239.06/239.33  (step @p152 :rule bool-impl-elim :args (@t15 @t203))
% 239.06/239.33  (step @p153 :rule trans :premises (@p152 @p151))
% 239.06/239.33  (step @p154 :rule cong :premises (@p153) :args ((forall @t16 (=> @t15 @t203))))
% 239.06/239.33  (step @p155 :rule trans :premises (@p154 @p150))
% 239.06/239.33  (step @p156 :rule aci_norm :args ((= (or @t182 false) @t182)))
% 239.06/239.33  (step @p157 :rule eq-refl :args (@t1))
% 239.06/239.33  (step @p158 :rule cong :premises (@p157) :args (@t204))
% 239.06/239.33  (step @p159 :rule trans :premises (@p158 @p122))
% 239.06/239.33  (step @p160 :rule nary_cong :premises (@p141 @p159) :args (@t205))
% 239.06/239.33  (step @p161 :rule trans :premises (@p160 @p156))
% 239.06/239.33  (step @p162 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t206 @t144)) @t205)))
% 239.06/239.33  (step @p163 :rule refl :args (@t144))
% 239.06/239.33  (step @p164 :rule refl :args (@t206))
% 239.06/239.33  (step @p165 :rule eq-symm :args (@t1 @t10))
% 239.06/239.33  (step @p166 :rule cong :premises (@p165) :args (@t144))
% 239.06/239.33  (step @p167 :rule nary_cong :premises (@p166 @p164 @p163) :args (@t207))
% 239.06/239.33  (step @p168 :rule aci_norm :args ((= @t208 @t207)))
% 239.06/239.33  (step @p169 :rule trans :premises (@p168 @p167))
% 239.06/239.33  (step @p170 :rule cong :premises (@p169) :args (@t209))
% 239.06/239.33  (step @p171 :rule trans :premises (@p170 @p162))
% 239.06/239.33  (step @p172 :rule trans :premises (@p171 @p161))
% 239.06/239.33  (step @p173 :rule refl :args (@t195))
% 239.06/239.33  (step @p174 :rule refl :args (@t143))
% 239.06/239.33  (step @p175 :rule nary_cong :premises (@p174 @p143 @p142 @p173 @p172) :args (@t210))
% 239.06/239.33  (step @p176 :rule quant-miniscope-or :args ((= (forall @t14 @t211) @t210)))
% 239.06/239.33  (step @p177 :rule aci_norm :args ((= @t212 @t211)))
% 239.06/239.33  (step @p178 :rule cong :premises (@p177) :args ((forall @t14 @t212)))
% 239.06/239.33  (step @p179 :rule trans :premises (@p178 @p176))
% 239.06/239.33  (step @p180 :rule trans :premises (@p179 @p175))
% 239.06/239.33  (step @p181 :rule aci_norm :args ((= (or @t206 @t213) @t212)))
% 239.06/239.33  (step @p182 :rule bool-impl-elim :args (@t13 @t213))
% 239.06/239.33  (step @p183 :rule trans :premises (@p182 @p181))
% 239.06/239.33  (step @p184 :rule cong :premises (@p183) :args ((forall @t14 (=> @t13 @t213))))
% 239.06/239.33  (step @p185 :rule trans :premises (@p184 @p180))
% 239.06/239.33  (step @p186 :rule aci_norm :args ((= @t215 @t194)))
% 239.06/239.33  (step @p187 :rule cong :premises (@p186) :args (@t216))
% 239.06/239.33  (step @p188 :rule quant-merge-prenex :args ((= (forall @t119 @t218) @t216)))
% 239.06/239.33  (step @p189 :rule alpha_equiv :args (@t219 (@list @t156 @t157 @t155) (@list @t96 @t221 @t220)))
% 239.06/239.33  (step @p190 :rule refl :args (@t163))
% 239.06/239.33  (step @p191 :rule nary_cong :premises (@p190 @p189) :args (@t222))
% 239.06/239.33  (step @p192 :rule quant-miniscope-or :args ((= @t218 @t222)))
% 239.06/239.33  (step @p193 :rule trans :premises (@p192 @p191))
% 239.06/239.33  (step @p194 :rule symm :premises (@p193))
% 239.06/239.33  (step @p195 :rule cong :premises (@p194) :args ((forall @t119 (or @t163 @t229))))
% 239.06/239.33  (step @p196 :rule trans :premises (@p195 @p188))
% 239.06/239.33  (step @p197 :rule trans :premises (@p196 @p187))
% 239.06/239.33  (step @p198 :rule bool-double-not-elim :args (@t229))
% 239.06/239.33  (step @p199 :rule nary_cong :premises (@p190 @p198) :args ((or @t163 (not @t230))))
% 239.06/239.33  (step @p200 :rule bool-and-de-morgan :args (@t117 @t230 true))
% 239.06/239.33  (step @p201 :rule trans :premises (@p200 @p199))
% 239.06/239.33  (step @p202 :rule cong :premises (@p201) :args (@t232))
% 239.06/239.33  (step @p203 :rule trans :premises (@p202 @p197))
% 239.06/239.33  (step @p204 :rule cong :premises (@p203) :args (@t233))
% 239.06/239.33  (step @p205 :rule exists-elim :args ((= (exists @t119 @t231) @t233)))
% 239.06/239.33  (step @p206 :rule trans :premises (@p205 @p204))
% 239.06/239.33  (step @p207 :rule aci_norm :args ((= @t235 @t227)))
% 239.06/239.33  (step @p208 :rule cong :premises (@p207) :args (@t236))
% 239.06/239.33  (step @p209 :rule quant-merge-prenex :args ((= (forall @t115 @t238) @t236)))
% 239.06/239.33  (step @p210 :rule alpha_equiv :args (@t239 (@list @t221 @t220) (@list @t100 @t240)))
% 239.06/239.33  (step @p211 :rule refl :args (@t103))
% 239.06/239.33  (step @p212 :rule refl :args (@t226))
% 239.06/239.33  (step @p213 :rule nary_cong :premises (@p212 @p211 @p210) :args (@t241))
% 239.06/239.33  (step @p214 :rule quant-miniscope-or :args ((= @t238 @t241)))
% 239.06/239.33  (step @p215 :rule trans :premises (@p214 @p213))
% 239.06/239.33  (step @p216 :rule symm :premises (@p215))
% 239.06/239.33  (step @p217 :rule cong :premises (@p216) :args ((forall @t115 @t248)))
% 239.06/239.33  (step @p218 :rule trans :premises (@p217 @p209))
% 239.06/239.33  (step @p219 :rule trans :premises (@p218 @p208))
% 239.06/239.33  (step @p220 :rule aci_norm :args ((= (or @t226 @t249) @t248)))
% 239.06/239.33  (step @p221 :rule bool-double-not-elim :args (@t249))
% 239.06/239.33  (step @p222 :rule nary_cong :premises (@p212 @p221) :args ((or @t226 (not @t250))))
% 239.06/239.33  (step @p223 :rule bool-and-de-morgan :args (@t113 @t250 true))
% 239.06/239.33  (step @p224 :rule trans :premises (@p223 @p222))
% 239.06/239.33  (step @p225 :rule trans :premises (@p224 @p220))
% 239.06/239.33  (step @p226 :rule cong :premises (@p225) :args (@t252))
% 239.06/239.33  (step @p227 :rule trans :premises (@p226 @p219))
% 239.06/239.33  (step @p228 :rule cong :premises (@p227) :args (@t253))
% 239.06/239.33  (step @p229 :rule exists-elim :args ((= (exists @t115 @t251) @t253)))
% 239.06/239.33  (step @p230 :rule trans :premises (@p229 @p228))
% 239.06/239.33  (step @p231 :rule aci_norm :args ((= @t255 @t245)))
% 239.06/239.33  (step @p232 :rule cong :premises (@p231) :args (@t256))
% 239.06/239.33  (step @p233 :rule quant-merge-prenex :args ((= (forall @t111 @t258) @t256)))
% 239.06/239.33  (step @p234 :rule alpha_equiv :args (@t259 (@list @t240) (@list @t95)))
% 239.06/239.33  (step @p235 :rule refl :args (@t244))
% 239.06/239.33  (step @p236 :rule nary_cong :premises (@p235 @p234) :args (@t260))
% 239.06/239.33  (step @p237 :rule quant-miniscope-or :args ((= @t258 @t260)))
% 239.06/239.33  (step @p238 :rule trans :premises (@p237 @p236))
% 239.06/239.33  (step @p239 :rule symm :premises (@p238))
% 239.06/239.33  (step @p240 :rule cong :premises (@p239) :args (@t267))
% 239.06/239.33  (step @p241 :rule trans :premises (@p240 @p233))
% 239.06/239.33  (step @p242 :rule trans :premises (@p241 @p232))
% 239.06/239.33  (step @p243 :rule refl :args (@t103))
% 239.06/239.33  (step @p244 :rule nary_cong :premises (@p243 @p242) :args (@t268))
% 239.06/239.33  (step @p245 :rule quant-miniscope-or :args ((= (forall @t111 @t269) @t268)))
% 239.06/239.33  (step @p246 :rule aci_norm :args ((= @t270 @t269)))
% 239.06/239.33  (step @p247 :rule cong :premises (@p246) :args ((forall @t111 @t270)))
% 239.06/239.33  (step @p248 :rule trans :premises (@p247 @p245))
% 239.06/239.33  (step @p249 :rule trans :premises (@p248 @p244))
% 239.06/239.33  (step @p250 :rule aci_norm :args ((= (or @t244 @t271) @t270)))
% 239.06/239.33  (step @p251 :rule bool-double-not-elim :args (@t271))
% 239.06/239.33  (step @p252 :rule nary_cong :premises (@p235 @p251) :args ((or @t244 (not @t272))))
% 239.06/239.33  (step @p253 :rule bool-and-de-morgan :args (@t109 @t272 true))
% 239.06/239.33  (step @p254 :rule trans :premises (@p253 @p252))
% 239.06/239.33  (step @p255 :rule trans :premises (@p254 @p250))
% 239.06/239.33  (step @p256 :rule cong :premises (@p255) :args (@t274))
% 239.06/239.33  (step @p257 :rule trans :premises (@p256 @p249))
% 239.06/239.33  (step @p258 :rule cong :premises (@p257) :args (@t275))
% 239.06/239.33  (step @p259 :rule exists-elim :args ((= (exists @t111 @t273) @t275)))
% 239.06/239.33  (step @p260 :rule trans :premises (@p259 @p258))
% 239.06/239.33  (step @p261 :rule quant-miniscope-or :args ((= (forall @t107 @t276) @t271)))
% 239.06/239.33  (step @p262 :rule aci_norm :args ((= @t277 @t276)))
% 239.06/239.33  (step @p263 :rule cong :premises (@p262) :args ((forall @t107 @t277)))
% 239.06/239.33  (step @p264 :rule trans :premises (@p263 @p261))
% 239.06/239.33  (step @p265 :rule refl :args (@t262))
% 239.06/239.33  (step @p266 :rule bool-double-not-elim :args (@t103))
% 239.06/239.33  (step @p267 :rule refl :args (@t263))
% 239.06/239.33  (step @p268 :rule nary_cong :premises (@p267 @p266 @p265) :args (@t279))
% 239.06/239.33  (step @p269 :rule aci_norm :args ((= (or @t263 (or @t278 @t262)) @t279)))
% 239.06/239.33  (step @p270 :rule trans :premises (@p269 @p268))
% 239.06/239.33  (step @p271 :rule bool-and-de-morgan :args (@t104 @t261 true))
% 239.06/239.33  (step @p272 :rule nary_cong :premises (@p267 @p271) :args ((or @t263 (not (and @t104 @t261)))))
% 239.06/239.33  (step @p273 :rule bool-and-de-morgan :args (@t105 @t104 (and @t261)))
% 239.06/239.33  (step @p274 :rule trans :premises (@p273 @p272))
% 239.06/239.33  (step @p275 :rule trans :premises (@p274 @p270))
% 239.06/239.33  (step @p276 :rule cong :premises (@p275) :args (@t281))
% 239.06/239.33  (step @p277 :rule trans :premises (@p276 @p264))
% 239.06/239.33  (step @p278 :rule cong :premises (@p277) :args (@t282))
% 239.06/239.33  (step @p279 :rule exists-elim :args ((= (exists @t107 @t280) @t282)))
% 239.06/239.33  (step @p280 :rule trans :premises (@p279 @p278))
% 239.06/239.33  (step @p281 :rule eq-symm :args (@t102 @t12))
% 239.06/239.33  (step @p282 :rule refl :args (@t104))
% 239.06/239.33  (step @p283 :rule refl :args (@t105))
% 239.06/239.33  (step @p284 :rule nary_cong :premises (@p283 @p282 @p281) :args (@t106))
% 239.06/239.33  (step @p285 :rule cong :premises (@p284) :args (@t108))
% 239.06/239.33  (step @p286 :rule trans :premises (@p285 @p280))
% 239.06/239.33  (step @p287 :rule refl :args (@t109))
% 239.06/239.33  (step @p288 :rule nary_cong :premises (@p287 @p286) :args (@t110))
% 239.06/239.33  (step @p289 :rule cong :premises (@p288) :args (@t112))
% 239.06/239.33  (step @p290 :rule trans :premises (@p289 @p260))
% 239.06/239.33  (step @p291 :rule refl :args (@t113))
% 239.06/239.33  (step @p292 :rule nary_cong :premises (@p291 @p290) :args (@t114))
% 239.06/239.33  (step @p293 :rule cong :premises (@p292) :args (@t116))
% 239.06/239.33  (step @p294 :rule trans :premises (@p293 @p230))
% 239.06/239.33  (step @p295 :rule refl :args (@t117))
% 239.06/239.33  (step @p296 :rule nary_cong :premises (@p295 @p294) :args (@t118))
% 239.06/239.33  (step @p297 :rule cong :premises (@p296) :args (@t120))
% 239.06/239.33  (step @p298 :rule trans :premises (@p297 @p206))
% 239.06/239.33  (step @p299 :rule aci_norm :args ((= @t284 @t175)))
% 239.06/239.33  (step @p300 :rule cong :premises (@p299) :args (@t285))
% 239.06/239.33  (step @p301 :rule quant-merge-prenex :args ((= (forall @t33 @t287) @t285)))
% 239.06/239.33  (step @p302 :rule alpha_equiv :args (@t288 (@list @t167 @t166) (@list @t27 @t289)))
% 239.06/239.33  (step @p303 :rule refl :args (@t174))
% 239.06/239.33  (step @p304 :rule nary_cong :premises (@p303 @p302) :args (@t290))
% 239.06/239.33  (step @p305 :rule quant-miniscope-or :args ((= @t287 @t290)))
% 239.06/239.33  (step @p306 :rule trans :premises (@p305 @p304))
% 239.06/239.33  (step @p307 :rule symm :premises (@p306))
% 239.06/239.33  (step @p308 :rule cong :premises (@p307) :args ((forall @t33 (or @t174 @t297))))
% 239.06/239.33  (step @p309 :rule trans :premises (@p308 @p301))
% 239.06/239.33  (step @p310 :rule trans :premises (@p309 @p300))
% 239.06/239.33  (step @p311 :rule bool-double-not-elim :args (@t297))
% 239.06/239.33  (step @p312 :rule nary_cong :premises (@p303 @p311) :args ((or @t174 (not @t298))))
% 239.06/239.33  (step @p313 :rule bool-and-de-morgan :args (@t140 @t298 true))
% 239.06/239.33  (step @p314 :rule trans :premises (@p313 @p312))
% 239.06/239.33  (step @p315 :rule cong :premises (@p314) :args (@t300))
% 239.06/239.33  (step @p316 :rule trans :premises (@p315 @p310))
% 239.06/239.33  (step @p317 :rule cong :premises (@p316) :args (@t301))
% 239.06/239.33  (step @p318 :rule exists-elim :args ((= (exists @t33 @t299) @t301)))
% 239.06/239.33  (step @p319 :rule trans :premises (@p318 @p317))
% 239.06/239.33  (step @p320 :rule aci_norm :args ((= @t303 @t295)))
% 239.06/239.33  (step @p321 :rule cong :premises (@p320) :args (@t304))
% 239.06/239.33  (step @p322 :rule quant-merge-prenex :args ((= (forall @t31 @t306) @t304)))
% 239.06/239.33  (step @p323 :rule alpha_equiv :args (@t307 (@list @t289) (@list @t124)))
% 239.06/239.33  (step @p324 :rule refl :args (@t294))
% 239.06/239.33  (step @p325 :rule nary_cong :premises (@p324 @p323) :args (@t308))
% 239.06/239.33  (step @p326 :rule quant-miniscope-or :args ((= @t306 @t308)))
% 239.06/239.33  (step @p327 :rule trans :premises (@p326 @p325))
% 239.06/239.33  (step @p328 :rule symm :premises (@p327))
% 239.06/239.33  (step @p329 :rule cong :premises (@p328) :args ((forall @t31 (or @t294 @t316))))
% 239.06/239.33  (step @p330 :rule trans :premises (@p329 @p322))
% 239.06/239.33  (step @p331 :rule trans :premises (@p330 @p321))
% 239.06/239.33  (step @p332 :rule bool-double-not-elim :args (@t316))
% 239.06/239.33  (step @p333 :rule nary_cong :premises (@p324 @p332) :args ((or @t294 (not @t317))))
% 239.06/239.33  (step @p334 :rule bool-and-de-morgan :args (@t30 @t317 true))
% 239.06/239.33  (step @p335 :rule trans :premises (@p334 @p333))
% 239.06/239.33  (step @p336 :rule cong :premises (@p335) :args (@t319))
% 239.06/239.33  (step @p337 :rule trans :premises (@p336 @p331))
% 239.06/239.33  (step @p338 :rule cong :premises (@p337) :args (@t320))
% 239.06/239.33  (step @p339 :rule exists-elim :args ((= (exists @t31 @t318) @t320)))
% 239.06/239.33  (step @p340 :rule trans :premises (@p339 @p338))
% 239.06/239.33  (step @p341 :rule aci_norm :args ((= (or @t314 (or @t313 @t311)) @t315)))
% 239.06/239.33  (step @p342 :rule bool-and-de-morgan :args (@t312 @t310 true))
% 239.06/239.33  (step @p343 :rule refl :args (@t314))
% 239.06/239.33  (step @p344 :rule nary_cong :premises (@p343 @p342) :args ((or @t314 (not (and @t312 @t310)))))
% 239.06/239.33  (step @p345 :rule bool-and-de-morgan :args (@t134 @t312 (and @t310)))
% 239.06/239.33  (step @p346 :rule trans :premises (@p345 @p344))
% 239.06/239.33  (step @p347 :rule trans :premises (@p346 @p341))
% 239.06/239.33  (step @p348 :rule cong :premises (@p347) :args (@t322))
% 239.06/239.33  (step @p349 :rule cong :premises (@p348) :args (@t323))
% 239.06/239.33  (step @p350 :rule exists-elim :args ((= (exists @t136 @t321) @t323)))
% 239.06/239.33  (step @p351 :rule trans :premises (@p350 @p349))
% 239.06/239.33  (step @p352 :rule aci_norm :args ((= (or @t168 @t127) @t309)))
% 239.06/239.33  (step @p353 :rule bool-impl-elim :args (@t128 @t127))
% 239.06/239.33  (step @p354 :rule trans :premises (@p353 @p352))
% 239.06/239.33  (step @p355 :rule cong :premises (@p354) :args (@t130))
% 239.06/239.33  (step @p356 :rule eq-symm :args (@t133 @t2))
% 239.06/239.33  (step @p357 :rule refl :args (@t134))
% 239.06/239.33  (step @p358 :rule nary_cong :premises (@p357 @p356 @p355) :args (@t135))
% 239.06/239.33  (step @p359 :rule cong :premises (@p358) :args (@t137))
% 239.06/239.33  (step @p360 :rule trans :premises (@p359 @p351))
% 239.06/239.33  (step @p361 :rule refl :args (@t30))
% 239.06/239.33  (step @p362 :rule nary_cong :premises (@p361 @p360) :args (@t138))
% 239.06/239.33  (step @p363 :rule cong :premises (@p362) :args (@t139))
% 239.06/239.33  (step @p364 :rule trans :premises (@p363 @p340))
% 239.06/239.33  (step @p365 :rule refl :args (@t140))
% 239.06/239.33  (step @p366 :rule nary_cong :premises (@p365 @p364) :args (@t141))
% 239.06/239.33  (step @p367 :rule cong :premises (@p366) :args (@t142))
% 239.06/239.33  (step @p368 :rule trans :premises (@p367 @p319))
% 239.06/239.33  (step @p369 :rule eq-symm :args (tptp.nil @t2))
% 239.06/239.33  (step @p370 :rule refl :args (@t144))
% 239.06/239.33  (step @p371 :rule nary_cong :premises (@p370 @p174 @p369 @p368 @p298) :args (@t145))
% 239.06/239.33  (step @p372 :rule refl :args (@t13))
% 239.06/239.33  (step @p373 :rule cong :premises (@p372 @p371) :args (@t146))
% 239.06/239.33  (step @p374 :rule cong :premises (@p373) :args (@t147))
% 239.06/239.33  (step @p375 :rule trans :premises (@p374 @p185))
% 239.06/239.33  (step @p376 :rule refl :args (@t15))
% 239.06/239.33  (step @p377 :rule cong :premises (@p376 @p375) :args (@t148))
% 239.06/239.33  (step @p378 :rule cong :premises (@p377) :args (@t149))
% 239.06/239.33  (step @p379 :rule trans :premises (@p378 @p155))
% 239.06/239.33  (step @p380 :rule refl :args (@t21))
% 239.06/239.33  (step @p381 :rule cong :premises (@p380 @p379) :args (@t150))
% 239.06/239.33  (step @p382 :rule cong :premises (@p381) :args (@t151))
% 239.06/239.33  (step @p383 :rule trans :premises (@p382 @p118))
% 239.06/239.33  (step @p384 :rule refl :args (@t17))
% 239.06/239.33  (step @p385 :rule cong :premises (@p384 @p383) :args (@t152))
% 239.06/239.33  (step @p386 :rule cong :premises (@p385) :args (@t153))
% 239.06/239.33  (step @p387 :rule trans :premises (@p386 @p109))
% 239.06/239.33  (step @p388 :rule cong :premises (@p387) :args (@t154))
% 239.06/239.33  (step @p389 :rule eq_resolve :premises (@p96 @p388))
% 239.06/239.33  (step @p390 :rule not_or_elim :premises (@p389) :args (1))
% 239.06/239.33  (step @p391 :rule refl :args (@t331))
% 239.06/239.33  (step @p392 :rule bool-double-not-elim :args (@t181))
% 239.06/239.33  (step @p393 :rule nary_cong :premises (@p392 @p391) :args ((or (not @t332) @t331)))
% 239.06/239.33  (step @p394 :rule eq-symm :args (@t324 @t158))
% 239.06/239.33  (step @p395 :rule cong :premises (@p394) :args (@t333))
% 239.06/239.33  (step @p396 :rule refl :args (@t159))
% 239.06/239.33  (step @p397 :rule refl :args (@t160))
% 239.06/239.33  (step @p398 :rule refl :args (@t161))
% 239.06/239.33  (step @p399 :rule refl :args (@t162))
% 239.06/239.33  (step @p400 :rule refl :args (@t163))
% 239.06/239.33  (step @p401 :rule nary_cong :premises (@p400 @p399 @p398 @p397 @p396 @p395) :args (@t334))
% 239.06/239.33  (step @p402 :rule cong :premises (@p401) :args (@t335))
% 239.06/239.33  (step @p403 :rule cong :premises (@p402) :args (@t336))
% 239.06/239.33  (step @p404 :rule refl :args (@t169))
% 239.06/239.33  (step @p405 :rule eq-symm :args (@t324 @t170))
% 239.06/239.33  (step @p406 :rule cong :premises (@p405) :args (@t337))
% 239.06/239.33  (step @p407 :rule refl :args (@t172))
% 239.06/239.33  (step @p408 :rule refl :args (@t173))
% 239.06/239.33  (step @p409 :rule refl :args (@t174))
% 239.06/239.33  (step @p410 :rule nary_cong :premises (@p409 @p408 @p407 @p406 @p404) :args (@t338))
% 239.06/239.33  (step @p411 :rule cong :premises (@p410) :args (@t339))
% 239.06/239.33  (step @p412 :rule cong :premises (@p411) :args (@t340))
% 239.06/239.33  (step @p413 :rule eq-symm :args (@t324 tptp.nil))
% 239.06/239.33  (step @p414 :rule refl :args (@t329))
% 239.06/239.33  (step @p415 :rule nary_cong :premises (@p414 @p413 @p412 @p403) :args (@t342))
% 239.06/239.33  (step @p416 :rule cong :premises (@p415) :args (@t343))
% 239.06/239.33  (step @p417 :rule refl :args (@t332))
% 239.06/239.33  (step @p418 :rule cong :premises (@p417 @p416) :args ((=> @t332 @t343)))
% 239.06/239.33  (assume-push @p743 @t332)
% 239.06/239.33  (step @p420 :rule skolemize :premises (@p390))
% 239.06/239.33  (step-pop @p744 :rule scope :premises (@p420))
% 239.06/239.33  (step @p421 :rule process_scope :premises (@p744) :args (@t343))
% 239.06/239.33  (step @p423 :rule eq_resolve :premises (@p421 @p418))
% 239.06/239.33  (step @p424 :rule implies_elim :premises (@p423))
% 239.06/239.33  (step @p425 :rule eq_resolve :premises (@p424 @p393))
% 239.06/239.33  (step @p426 :rule chain_m_resolution :premises (@p425 @p390) :args (@t331 @t344 (@list @t181)))
% 239.06/239.33  (step @p427 :rule bool-double-not-elim :args (@t325))
% 239.06/239.33  (step @p428 :rule refl :args (@t330))
% 239.06/239.33  (step @p429 :rule nary_cong :premises (@p428 @p427) :args ((or @t330 (not @t326))))
% 239.06/239.33  (step @p430 :rule cnf_or_neg :args (@t330 2))
% 239.06/239.33  (step @p431 :rule eq_resolve :premises (@p430 @p429))
% 239.06/239.33  (step @p432 :rule reordering :premises (@p431) :args ((or @t325 @t330)))
% 239.06/239.33  (step @p433 :rule chain_m_resolution :premises (@p432 @p426) :args (@t325 @t344 @t345))
% 239.06/239.33  (step @p434 :rule refl :args (@t354))
% 239.06/239.33  (step @p435 :rule eq-symm :args (@t357 @t324))
% 239.06/239.33  (step @p436 :rule cong :premises (@p435) :args (@t358))
% 239.06/239.33  (step @p437 :rule refl :args (@t360))
% 239.06/239.33  (step @p438 :rule refl :args (@t361))
% 239.06/239.33  (step @p439 :rule refl :args (@t363))
% 239.06/239.33  (step @p440 :rule nary_cong :premises (@p439 @p438 @p437 @p436 @p434) :args (@t364))
% 239.06/239.33  (step @p441 :rule refl :args (@t325))
% 239.06/239.33  (step @p442 :rule cong :premises (@p441 @p440) :args ((=> @t325 @t364)))
% 239.06/239.33  (assume-push @p745 @t325)
% 239.06/239.33  (step @p444 :rule instantiate :premises (@p433) :args ((@list @t346 tptp.nil @t352)))
% 239.06/239.33  (step-pop @p746 :rule scope :premises (@p444))
% 239.06/239.33  (step @p445 :rule process_scope :premises (@p746) :args (@t364))
% 239.06/239.33  (step @p447 :rule eq_resolve :premises (@p445 @p442))
% 239.06/239.33  (step @p448 :rule implies_elim :premises (@p447))
% 239.06/239.33  (step @p449 :rule chain_m_resolution :premises (@p448 @p433) :args (@t367 @t368 (@list @t325)))
% 239.06/239.33  (step @p450 :rule aci_norm :args ((= @t373 (or @t179 @t371 @t370))))
% 239.06/239.33  (step @p451 :rule cong :premises (@p450) :args (@t374))
% 239.06/239.33  (step @p452 :rule quant-merge-prenex :args ((= (forall @t9 @t376) @t374)))
% 239.06/239.33  (step @p453 :rule alpha_equiv :args (@t377 (@list @t369) @t378))
% 239.06/239.33  (step @p454 :rule refl :args (@t179))
% 239.06/239.33  (step @p455 :rule nary_cong :premises (@p454 @p453) :args (@t379))
% 239.06/239.33  (step @p456 :rule quant-miniscope-or :args ((= @t376 @t379)))
% 239.06/239.33  (step @p457 :rule trans :premises (@p456 @p455))
% 239.06/239.33  (step @p458 :rule symm :premises (@p457))
% 239.06/239.33  (step @p459 :rule cong :premises (@p458) :args ((forall @t9 (or @t179 @t382))))
% 239.06/239.33  (step @p460 :rule trans :premises (@p459 @p452))
% 239.06/239.33  (step @p461 :rule trans :premises (@p460 @p451))
% 239.06/239.33  (step @p462 :rule bool-impl-elim :args (@t17 @t382))
% 239.06/239.33  (step @p463 :rule cong :premises (@p462) :args ((forall @t9 (=> @t17 @t382))))
% 239.06/239.33  (step @p464 :rule trans :premises (@p463 @p461))
% 239.06/239.33  (step @p465 :rule bool-impl-elim :args (@t6 @t380))
% 239.06/239.33  (step @p466 :rule cong :premises (@p465) :args ((forall @t7 (=> @t6 @t380))))
% 239.06/239.33  (step @p467 :rule eq-symm :args (@t60 @t2))
% 239.06/239.33  (step @p468 :rule refl :args (@t6))
% 239.06/239.33  (step @p469 :rule cong :premises (@p468 @p467) :args (@t61))
% 239.06/239.33  (step @p470 :rule cong :premises (@p469) :args (@t62))
% 239.06/239.33  (step @p471 :rule trans :premises (@p470 @p466))
% 239.06/239.33  (step @p472 :rule cong :premises (@p384 @p471) :args (@t63))
% 239.06/239.33  (step @p473 :rule cong :premises (@p472) :args (@t64))
% 239.06/239.33  (step @p474 :rule trans :premises (@p473 @p464))
% 239.06/239.33  (step @p475 :rule eq_resolve :premises (@p25 @p474))
% 239.06/239.33  (step @p476 :rule instantiate :premises (@p475) :args ((@list @t352 @t383)))
% 239.06/239.33  (step @p477 :rule aci_norm :args ((= (or @t179 @t388) @t387)))
% 239.06/239.33  (step @p478 :rule bool-impl-elim :args (@t17 @t388))
% 239.06/239.33  (step @p479 :rule trans :premises (@p478 @p477))
% 239.06/239.33  (step @p480 :rule cong :premises (@p479) :args ((forall @t9 (=> @t17 @t388))))
% 239.06/239.33  (step @p481 :rule aci_norm :args ((= @t390 @t385)))
% 239.06/239.33  (step @p482 :rule cong :premises (@p481) :args (@t391))
% 239.06/239.33  (step @p483 :rule quant-merge-prenex :args ((= (forall @t7 @t393) @t391)))
% 239.06/239.33  (step @p484 :rule alpha_equiv :args (@t394 (@list @t347) (@list @t12)))
% 239.06/239.33  (step @p485 :rule refl :args (@t182))
% 239.06/239.33  (step @p486 :rule nary_cong :premises (@p485 @p484) :args (@t395))
% 239.06/239.33  (step @p487 :rule quant-miniscope-or :args ((= @t393 @t395)))
% 239.06/239.33  (step @p488 :rule trans :premises (@p487 @p486))
% 239.06/239.33  (step @p489 :rule symm :premises (@p488))
% 239.06/239.33  (step @p490 :rule cong :premises (@p489) :args ((forall @t7 (or @t182 @t397))))
% 239.06/239.33  (step @p491 :rule trans :premises (@p490 @p483))
% 239.06/239.33  (step @p492 :rule trans :premises (@p491 @p482))
% 239.06/239.33  (step @p493 :rule bool-double-not-elim :args (@t397))
% 239.06/239.33  (step @p494 :rule nary_cong :premises (@p485 @p493) :args ((or @t182 (not @t398))))
% 239.06/239.33  (step @p495 :rule bool-and-de-morgan :args (@t21 @t398 true))
% 239.06/239.33  (step @p496 :rule trans :premises (@p495 @p494))
% 239.06/239.33  (step @p497 :rule cong :premises (@p496) :args (@t400))
% 239.06/239.33  (step @p498 :rule trans :premises (@p497 @p492))
% 239.06/239.33  (step @p499 :rule cong :premises (@p498) :args (@t401))
% 239.06/239.33  (step @p500 :rule exists-elim :args ((= (exists @t7 @t399) @t401)))
% 239.06/239.33  (step @p501 :rule trans :premises (@p500 @p499))
% 239.06/239.33  (step @p502 :rule bool-and-de-morgan :args (@t34 @t396 true))
% 239.06/239.33  (step @p503 :rule cong :premises (@p502) :args (@t403))
% 239.06/239.33  (step @p504 :rule cong :premises (@p503) :args (@t404))
% 239.06/239.33  (step @p505 :rule exists-elim :args ((= (exists @t16 @t402) @t404)))
% 239.06/239.33  (step @p506 :rule trans :premises (@p505 @p504))
% 239.06/239.33  (step @p507 :rule eq-symm :args (@t44 @t2))
% 239.06/239.33  (step @p508 :rule refl :args (@t34))
% 239.06/239.33  (step @p509 :rule nary_cong :premises (@p508 @p507) :args (@t45))
% 239.06/239.33  (step @p510 :rule cong :premises (@p509) :args (@t46))
% 239.06/239.33  (step @p511 :rule trans :premises (@p510 @p506))
% 239.06/239.33  (step @p512 :rule nary_cong :premises (@p380 @p511) :args (@t47))
% 239.06/239.33  (step @p513 :rule cong :premises (@p512) :args (@t48))
% 239.06/239.33  (step @p514 :rule trans :premises (@p513 @p501))
% 239.06/239.33  (step @p515 :rule nary_cong :premises (@p369 @p514) :args (@t50))
% 239.06/239.33  (step @p516 :rule cong :premises (@p384 @p515) :args (@t51))
% 239.06/239.33  (step @p517 :rule cong :premises (@p516) :args (@t52))
% 239.06/239.33  (step @p518 :rule trans :premises (@p517 @p480))
% 239.06/239.33  (step @p519 :rule eq_resolve :premises (@p20 @p518))
% 239.06/239.33  (step @p520 :rule eq-symm :args (@t324 @t348))
% 239.06/239.33  (step @p521 :rule cong :premises (@p520) :args (@t405))
% 239.06/239.33  (step @p522 :rule refl :args (@t349))
% 239.06/239.33  (step @p523 :rule nary_cong :premises (@p141 @p522 @p521) :args (@t406))
% 239.06/239.33  (step @p524 :rule cong :premises (@p523) :args (@t407))
% 239.06/239.33  (step @p525 :rule cong :premises (@p524) :args (@t408))
% 239.06/239.33  (step @p526 :rule nary_cong :premises (@p414 @p413 @p525) :args (@t409))
% 239.06/239.33  (step @p527 :rule refl :args (@t410))
% 239.06/239.33  (step @p528 :rule cong :premises (@p527 @p526) :args ((=> @t410 @t409)))
% 239.06/239.33  (assume-push @p747 @t410)
% 239.06/239.33  (step @p530 :rule instantiate :premises (@p519) :args (@t411))
% 239.06/239.33  (step-pop @p748 :rule scope :premises (@p530))
% 239.06/239.33  (step @p531 :rule process_scope :premises (@p748) :args (@t409))
% 239.06/239.33  (step @p533 :rule eq_resolve :premises (@p531 @p528))
% 239.06/239.33  (step @p534 :rule implies_elim :premises (@p533))
% 239.06/239.33  (step @p535 :rule chain_m_resolution :premises (@p534 @p519) :args (@t413 @t368 (@list @t410)))
% 239.06/239.33  (step @p536 :rule cnf_or_neg :args (@t330 1))
% 239.06/239.33  (step @p537 :rule chain_m_resolution :premises (@p536 @p426) :args ((not @t327) @t344 @t345))
% 239.06/239.33  (step @p538 :rule bool-double-not-elim :args (@t328))
% 239.06/239.33  (step @p539 :rule nary_cong :premises (@p428 @p538) :args ((or @t330 (not @t329))))
% 239.06/239.33  (step @p540 :rule cnf_or_neg :args (@t330 0))
% 239.06/239.33  (step @p541 :rule eq_resolve :premises (@p540 @p539))
% 239.06/239.33  (step @p542 :rule reordering :premises (@p541) :args ((or @t328 @t330)))
% 239.06/239.33  (step @p543 :rule chain_m_resolution :premises (@p542 @p426) :args (@t328 @t344 @t345))
% 239.06/239.33  (step @p544 :rule cnf_or_pos :args (@t413))
% 239.06/239.33  (step @p545 :rule reordering :premises (@p544) :args ((or @t329 @t327 @t412 (not @t413))))
% 239.06/239.33  (step @p546 :rule chain_m_resolution :premises (@p545 @p543 @p537 @p535) :args (@t412 @t414 (@list @t328 @t327 @t413)))
% 239.06/239.33  (step @p547 :rule refl :args (@t421))
% 239.06/239.33  (step @p548 :rule bool-double-not-elim :args (@t351))
% 239.06/239.33  (step @p549 :rule nary_cong :premises (@p548 @p547) :args ((or (not @t412) @t421)))
% 239.06/239.33  (step @p550 :rule eq-symm :args (@t415 @t324))
% 239.06/239.33  (step @p551 :rule cong :premises (@p550) :args (@t422))
% 239.06/239.33  (step @p552 :rule refl :args (@t419))
% 239.06/239.33  (step @p553 :rule nary_cong :premises (@p437 @p552 @p551) :args (@t423))
% 239.06/239.33  (step @p554 :rule cong :premises (@p553) :args (@t424))
% 239.06/239.33  (step @p555 :rule refl :args (@t412))
% 239.06/239.33  (step @p556 :rule cong :premises (@p555 @p554) :args ((=> @t412 @t424)))
% 239.06/239.33  (assume-push @p749 @t412)
% 239.06/239.33  (step @p558 :rule skolemize :premises (@p546))
% 239.06/239.33  (step-pop @p750 :rule scope :premises (@p558))
% 239.06/239.33  (step @p559 :rule process_scope :premises (@p750) :args (@t424))
% 239.06/239.33  (step @p561 :rule eq_resolve :premises (@p559 @p556))
% 239.06/239.33  (step @p562 :rule implies_elim :premises (@p561))
% 239.06/239.33  (step @p563 :rule eq_resolve :premises (@p562 @p549))
% 239.06/239.33  (step @p564 :rule chain_m_resolution :premises (@p563 @p546) :args (@t421 @t344 (@list @t351)))
% 239.06/239.33  (step @p565 :rule bool-double-not-elim :args (@t418))
% 239.06/239.33  (step @p566 :rule refl :args (@t420))
% 239.06/239.33  (step @p567 :rule nary_cong :premises (@p566 @p565) :args ((or @t420 (not @t419))))
% 239.06/239.33  (step @p568 :rule cnf_or_neg :args (@t420 1))
% 239.06/239.33  (step @p569 :rule eq_resolve :premises (@p568 @p567))
% 239.06/239.33  (step @p570 :rule reordering :premises (@p569) :args ((or @t418 @t420)))
% 239.06/239.33  (step @p571 :rule chain_m_resolution :premises (@p570 @p564) :args (@t418 @t344 @t425))
% 239.06/239.33  (step @p572 :rule bool-double-not-elim :args (@t359))
% 239.06/239.33  (step @p573 :rule nary_cong :premises (@p566 @p572) :args ((or @t420 (not @t360))))
% 239.06/239.33  (step @p574 :rule cnf_or_neg :args (@t420 0))
% 239.06/239.33  (step @p575 :rule eq_resolve :premises (@p574 @p573))
% 239.06/239.33  (step @p576 :rule reordering :premises (@p575) :args ((or @t359 @t420)))
% 239.06/239.33  (step @p577 :rule chain_m_resolution :premises (@p576 @p564) :args (@t359 @t344 @t425))
% 239.06/239.33  (step @p578 :rule cnf_or_pos :args (@t427))
% 239.06/239.33  (step @p579 :rule reordering :premises (@p578) :args ((or @t360 @t419 @t426 (not @t427))))
% 239.06/239.33  (step @p580 :rule chain_m_resolution :premises (@p579 @p577 @p571 @p476) :args (@t426 @t428 (@list @t359 @t418 @t427)))
% 239.06/239.33  (step @p581 :rule symm :premises (@p580))
% 239.06/239.33  (step @p582 :rule bool-double-not-elim :args (@t416))
% 239.06/239.33  (step @p583 :rule nary_cong :premises (@p566 @p582) :args ((or @t420 (not @t417))))
% 239.06/239.33  (step @p584 :rule cnf_or_neg :args (@t420 2))
% 239.06/239.33  (step @p585 :rule eq_resolve :premises (@p584 @p583))
% 239.06/239.33  (step @p586 :rule reordering :premises (@p585) :args ((or @t416 @t420)))
% 239.06/239.33  (step @p587 :rule chain_m_resolution :premises (@p586 @p564) :args (@t416 @t344 @t425))
% 239.06/239.33  (step @p588 :rule cong :premises (@p587) :args (@t429))
% 239.06/239.33  (step @p589 :rule trans :premises (@p588 @p581))
% 239.06/239.33  (step @p590 :rule bool-impl-elim :args (@t17 @t430))
% 239.06/239.33  (step @p591 :rule cong :premises (@p590) :args ((forall @t9 (=> @t17 @t430))))
% 239.06/239.33  (step @p592 :rule eq-symm :args (@t67 @t2))
% 239.06/239.33  (step @p593 :rule cong :premises (@p384 @p592) :args (@t68))
% 239.06/239.33  (step @p594 :rule cong :premises (@p593) :args (@t69))
% 239.06/239.33  (step @p595 :rule trans :premises (@p594 @p591))
% 239.06/239.33  (step @p596 :rule eq_resolve :premises (@p28 @p595))
% 239.06/239.33  (step @p597 :rule instantiate :premises (@p596) :args ((@list @t355)))
% 239.06/239.33  (step @p598 :rule aci_norm :args ((= @t435 (or @t179 @t433 @t432))))
% 239.06/239.33  (step @p599 :rule cong :premises (@p598) :args (@t436))
% 239.06/239.33  (step @p600 :rule quant-merge-prenex :args ((= (forall @t9 @t438) @t436)))
% 239.06/239.33  (step @p601 :rule alpha_equiv :args (@t439 (@list @t431) @t378))
% 239.06/239.33  (step @p602 :rule nary_cong :premises (@p454 @p601) :args (@t440))
% 239.06/239.33  (step @p603 :rule quant-miniscope-or :args ((= @t438 @t440)))
% 239.06/239.33  (step @p604 :rule trans :premises (@p603 @p602))
% 239.06/239.33  (step @p605 :rule symm :premises (@p604))
% 239.06/239.33  (step @p606 :rule cong :premises (@p605) :args ((forall @t9 (or @t179 @t441))))
% 239.06/239.33  (step @p607 :rule trans :premises (@p606 @p600))
% 239.06/239.33  (step @p608 :rule trans :premises (@p607 @p599))
% 239.06/239.33  (step @p609 :rule bool-impl-elim :args (@t17 @t441))
% 239.06/239.33  (step @p610 :rule cong :premises (@p609) :args ((forall @t9 (=> @t17 @t441))))
% 239.06/239.33  (step @p611 :rule trans :premises (@p610 @p608))
% 239.06/239.33  (step @p612 :rule bool-impl-elim :args (@t6 @t38))
% 239.06/239.33  (step @p613 :rule cong :premises (@p612) :args (@t39))
% 239.06/239.33  (step @p614 :rule cong :premises (@p384 @p613) :args (@t40))
% 239.06/239.33  (step @p615 :rule cong :premises (@p614) :args (@t41))
% 239.06/239.33  (step @p616 :rule trans :premises (@p615 @p611))
% 239.06/239.33  (step @p617 :rule eq_resolve :premises (@p16 @p616))
% 239.06/239.33  (step @p618 :rule instantiate :premises (@p617) :args ((@list tptp.nil @t346)))
% 239.06/239.33  (step @p619 :rule aci_norm :args ((= (or @t179 (or @t178 @t54)) @t442)))
% 239.06/239.33  (step @p620 :rule refl :args (@t54))
% 239.06/239.33  (step @p621 :rule bool-double-not-elim :args (@t178))
% 239.06/239.33  (step @p622 :rule nary_cong :premises (@p621 @p620) :args ((or @t444 @t54)))
% 239.06/239.33  (step @p623 :rule bool-impl-elim :args (@t443 @t54))
% 239.06/239.33  (step @p624 :rule trans :premises (@p623 @p622))
% 239.06/239.33  (step @p625 :rule nary_cong :premises (@p454 @p624) :args ((or @t179 @t445)))
% 239.06/239.33  (step @p626 :rule trans :premises (@p625 @p619))
% 239.06/239.33  (step @p627 :rule bool-impl-elim :args (@t17 @t445))
% 239.06/239.33  (step @p628 :rule trans :premises (@p627 @p626))
% 239.06/239.33  (step @p629 :rule cong :premises (@p628) :args ((forall @t9 (=> @t17 @t445))))
% 239.06/239.33  (step @p630 :rule refl :args (@t54))
% 239.06/239.33  (step @p631 :rule cong :premises (@p369) :args (@t55))
% 239.06/239.33  (step @p632 :rule cong :premises (@p631 @p630) :args (@t56))
% 239.06/239.33  (step @p633 :rule cong :premises (@p384 @p632) :args (@t57))
% 239.06/239.33  (step @p634 :rule cong :premises (@p633) :args (@t58))
% 239.06/239.33  (step @p635 :rule trans :premises (@p634 @p629))
% 239.06/239.33  (step @p636 :rule eq_resolve :premises (@p22 @p635))
% 239.06/239.33  (step @p637 :rule refl :args (@t362))
% 239.06/239.33  (step @p638 :rule nary_cong :premises (@p414 @p413 @p637) :args (@t446))
% 239.06/239.33  (step @p639 :rule refl :args (@t447))
% 239.06/239.33  (step @p640 :rule cong :premises (@p639 @p638) :args ((=> @t447 @t446)))
% 239.06/239.33  (assume-push @p751 @t447)
% 239.06/239.33  (step @p642 :rule instantiate :premises (@p636) :args (@t411))
% 239.06/239.33  (step-pop @p752 :rule scope :premises (@p642))
% 239.06/239.33  (step @p643 :rule process_scope :premises (@p752) :args (@t446))
% 239.06/239.33  (step @p645 :rule eq_resolve :premises (@p643 @p640))
% 239.06/239.33  (step @p646 :rule implies_elim :premises (@p645))
% 239.06/239.33  (step @p647 :rule chain_m_resolution :premises (@p646 @p636) :args (@t448 @t368 (@list @t447)))
% 239.06/239.33  (step @p648 :rule cnf_or_pos :args (@t448))
% 239.06/239.33  (step @p649 :rule reordering :premises (@p648) :args ((or @t329 @t327 @t362 (not @t448))))
% 239.06/239.33  (step @p650 :rule chain_m_resolution :premises (@p649 @p543 @p537 @p647) :args (@t362 @t414 (@list @t328 @t327 @t448)))
% 239.06/239.33  (step @p651 :rule cnf_or_pos :args (@t450))
% 239.06/239.33  (step @p652 :rule reordering :premises (@p651) :args ((or @t361 @t363 @t449 (not @t450))))
% 239.06/239.33  (step @p653 :rule chain_m_resolution :premises (@p652 @p17 @p650 @p618) :args (@t449 @t428 (@list @t42 @t362 @t450)))
% 239.06/239.33  (step @p654 :rule cnf_or_pos :args (@t453))
% 239.06/239.33  (step @p655 :rule reordering :premises (@p654) :args ((or @t452 @t451 (not @t453))))
% 239.06/239.33  (step @p656 :rule chain_m_resolution :premises (@p655 @p653 @p597) :args (@t451 @t454 (@list @t449 @t453)))
% 239.06/239.33  (step @p657 :rule cong :premises (@p656 @p589) :args (@t455))
% 239.06/239.33  (step @p658 :rule aci_norm :args ((= @t460 (or @t179 @t458 @t457))))
% 239.06/239.33  (step @p659 :rule cong :premises (@p658) :args (@t461))
% 239.06/239.33  (step @p660 :rule quant-merge-prenex :args ((= (forall @t9 @t463) @t461)))
% 239.06/239.33  (step @p661 :rule alpha_equiv :args (@t464 (@list @t456) @t378))
% 239.06/239.33  (step @p662 :rule nary_cong :premises (@p454 @p661) :args (@t465))
% 239.06/239.33  (step @p663 :rule quant-miniscope-or :args ((= @t463 @t465)))
% 239.06/239.33  (step @p664 :rule trans :premises (@p663 @p662))
% 239.06/239.33  (step @p665 :rule symm :premises (@p664))
% 239.06/239.33  (step @p666 :rule cong :premises (@p665) :args ((forall @t9 (or @t179 @t466))))
% 239.06/239.33  (step @p667 :rule trans :premises (@p666 @p660))
% 239.06/239.33  (step @p668 :rule trans :premises (@p667 @p659))
% 239.06/239.33  (step @p669 :rule bool-impl-elim :args (@t17 @t466))
% 239.06/239.33  (step @p670 :rule cong :premises (@p669) :args ((forall @t9 (=> @t17 @t466))))
% 239.06/239.33  (step @p671 :rule trans :premises (@p670 @p668))
% 239.06/239.33  (step @p672 :rule bool-impl-elim :args (@t6 @t91))
% 239.06/239.33  (step @p673 :rule cong :premises (@p672) :args (@t92))
% 239.06/239.33  (step @p674 :rule cong :premises (@p384 @p673) :args (@t93))
% 239.06/239.33  (step @p675 :rule cong :premises (@p674) :args (@t94))
% 239.06/239.33  (step @p676 :rule trans :premises (@p675 @p671))
% 239.06/239.33  (step @p677 :rule eq_resolve :premises (@p81 @p676))
% 239.06/239.33  (step @p678 :rule instantiate :premises (@p677) :args ((@list @t429 @t346)))
% 239.06/239.33  (step @p679 :rule true_intro :premises (@p577))
% 239.06/239.33  (step @p680 :rule cong :premises (@p589) :args (@t467))
% 239.06/239.33  (step @p681 :rule trans :premises (@p680 @p679))
% 239.06/239.33  (step @p682 :rule true_elim :premises (@p681))
% 239.06/239.33  (step @p683 :rule cnf_or_pos :args (@t471))
% 239.06/239.33  (step @p684 :rule reordering :premises (@p683) :args ((or @t363 @t470 @t469 (not @t471))))
% 239.06/239.33  (step @p685 :rule chain_m_resolution :premises (@p684 @p650 @p682 @p678) :args (@t469 @t428 (@list @t362 @t467 @t471)))
% 239.06/239.33  (step @p686 :rule aci_norm :args ((= (or @t179 (or @t178 @t472)) @t473)))
% 239.06/239.33  (step @p687 :rule refl :args (@t472))
% 239.06/239.33  (step @p688 :rule nary_cong :premises (@p621 @p687) :args ((or @t444 @t472)))
% 239.06/239.33  (step @p689 :rule bool-impl-elim :args (@t443 @t472))
% 239.06/239.33  (step @p690 :rule trans :premises (@p689 @p688))
% 239.06/239.33  (step @p691 :rule nary_cong :premises (@p454 @p690) :args ((or @t179 @t474)))
% 239.06/239.33  (step @p692 :rule trans :premises (@p691 @p686))
% 239.06/239.33  (step @p693 :rule bool-impl-elim :args (@t17 @t474))
% 239.06/239.34  (step @p694 :rule trans :premises (@p693 @p692))
% 239.06/239.34  (step @p695 :rule cong :premises (@p694) :args ((forall @t9 (=> @t17 @t474))))
% 239.06/239.34  (step @p696 :rule eq-symm :args (@t86 @t2))
% 239.06/239.34  (step @p697 :rule cong :premises (@p631 @p696) :args (@t87))
% 239.06/239.34  (step @p698 :rule cong :premises (@p384 @p697) :args (@t88))
% 239.06/239.34  (step @p699 :rule cong :premises (@p698) :args (@t89))
% 239.06/239.34  (step @p700 :rule trans :premises (@p699 @p695))
% 239.06/239.34  (step @p701 :rule eq_resolve :premises (@p78 @p700))
% 239.06/239.34  (step @p702 :rule refl :args (@t475))
% 239.06/239.34  (step @p703 :rule nary_cong :premises (@p414 @p413 @p702) :args (@t476))
% 239.06/239.34  (step @p704 :rule refl :args (@t477))
% 239.06/239.34  (step @p705 :rule cong :premises (@p704 @p703) :args ((=> @t477 @t476)))
% 239.06/239.34  (assume-push @p753 @t477)
% 239.06/239.34  (step @p707 :rule instantiate :premises (@p701) :args (@t411))
% 239.06/239.34  (step-pop @p754 :rule scope :premises (@p707))
% 239.06/239.34  (step @p708 :rule process_scope :premises (@p754) :args (@t476))
% 239.06/239.34  (step @p710 :rule eq_resolve :premises (@p708 @p705))
% 239.06/239.34  (step @p711 :rule implies_elim :premises (@p710))
% 239.06/239.34  (step @p712 :rule chain_m_resolution :premises (@p711 @p701) :args (@t478 @t368 (@list @t477)))
% 239.06/239.34  (step @p713 :rule cnf_or_pos :args (@t478))
% 239.06/239.34  (step @p714 :rule reordering :premises (@p713) :args ((or @t329 @t327 @t475 (not @t478))))
% 239.06/239.34  (step @p715 :rule chain_m_resolution :premises (@p714 @p543 @p537 @p712) :args (@t475 @t414 (@list @t328 @t327 @t478)))
% 239.06/239.34  (step @p716 :rule trans :premises (@p715 @p685 @p657))
% 239.06/239.34  (step @p717 :rule cnf_or_pos :args (@t367))
% 239.06/239.34  (step @p718 :rule reordering :premises (@p717) :args ((or @t361 @t363 @t360 @t354 @t366 (not @t367))))
% 239.06/239.34  (step @p719 :rule chain_m_resolution :premises (@p718 @p17 @p650 @p577 @p716 @p449) :args (@t354 (@list false false false false false) (@list @t42 @t362 @t359 @t365 @t367)))
% 239.06/239.34  (step @p720 :rule skolemize :premises (@p719))
% 239.06/239.34  (step @p721 :rule bool-double-not-elim :args (@t480))
% 239.06/239.34  (step @p722 :rule refl :args (@t484))
% 239.06/239.34  (step @p723 :rule nary_cong :premises (@p722 @p721) :args ((or @t484 (not @t481))))
% 239.06/239.34  (step @p724 :rule cnf_or_neg :args (@t484 1))
% 239.06/239.34  (step @p725 :rule eq_resolve :premises (@p724 @p723))
% 239.06/239.34  (step @p726 :rule reordering :premises (@p725) :args ((or @t480 @t484)))
% 239.06/239.34  (step @p727 :rule chain_m_resolution :premises (@p726 @p720) :args (@t480 @t344 @t485))
% 239.06/239.34  (step @p728 :rule bool-double-not-elim :args (@t482))
% 239.06/239.34  (step @p729 :rule nary_cong :premises (@p722 @p728) :args ((or @t484 (not @t483))))
% 239.06/239.34  (step @p730 :rule cnf_or_neg :args (@t484 0))
% 239.06/239.34  (step @p731 :rule eq_resolve :premises (@p730 @p729))
% 239.06/239.34  (step @p732 :rule reordering :premises (@p731) :args ((or @t482 @t484)))
% 239.06/239.34  (step @p733 :rule chain_m_resolution :premises (@p732 @p720) :args (@t482 @t344 @t485))
% 239.06/239.34  (step @p734 :rule cnf_or_pos :args (@t486))
% 239.06/239.34  (step @p735 :rule reordering :premises (@p734) :args ((or @t483 @t481 @t487)))
% 239.06/239.34  (step @p736 :rule chain_m_resolution :premises (@p735 @p733 @p727) :args (@t487 @t454 (@list @t482 @t480)))
% 239.06/239.34  (assume-push @p755 @t488)
% 239.06/239.34  (step @p738 :rule instantiate :premises (@p100) :args ((@list @t479)))
% 239.06/239.34  (step-pop @p756 :rule scope :premises (@p738))
% 239.06/239.34  (step @p739 :rule process_scope :premises (@p756) :args (@t486))
% 239.06/239.34  (step @p741 :rule implies_elim :premises (@p739))
% 239.06/239.34  (step @p742 false :rule chain_m_resolution :premises (@p741 @p736 @p100) :args (false (@list true false) (@list @t486 @t488)))
% 239.06/239.34  )
% 239.06/239.34  % SZS output end Proof
% 239.06/239.34  % cvc5 exiting
%------------------------------------------------------------------------------