cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWC389+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 : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:59:08 AM UTC 2026

% Result   : Theorem 1.03s 1.25s
% Output   : Proof 1.03s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC389+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
% 0.14/0.33  % Computer : n028.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 300
% 0.14/0.33  % DateTime : Tue Jun  2 19:45:35 EDT 2026
% 0.14/0.34  % CPUTime  : 
% 0.29/0.50  %----Proving TF0_NAR, FOF, or CNF
% 1.03/1.25  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 1.03/1.25  % SZS status Theorem
% 1.03/1.25  % SZS output start Proof
% 1.03/1.25  (
% 1.03/1.25  (declare-sort $$unsorted 0)
% 1.03/1.25  (declare-const tptp.tl (-> $$unsorted $$unsorted))
% 1.03/1.25  (declare-const tptp.hd (-> $$unsorted $$unsorted))
% 1.03/1.25  (declare-const tptp.duplicatefreeP (-> $$unsorted Bool))
% 1.03/1.25  (declare-const tptp.strictorderedP (-> $$unsorted Bool))
% 1.03/1.25  (declare-const tptp.geq (-> $$unsorted $$unsorted Bool))
% 1.03/1.25  (declare-const tptp.strictorderP (-> $$unsorted Bool))
% 1.03/1.25  (declare-const tptp.equalelemsP (-> $$unsorted Bool))
% 1.03/1.25  (declare-const tptp.totalorderP (-> $$unsorted Bool))
% 1.03/1.25  (declare-const tptp.neq (-> $$unsorted $$unsorted Bool))
% 1.03/1.25  (declare-const tptp.totalorderedP (-> $$unsorted Bool))
% 1.03/1.25  (declare-const tptp.singletonP (-> $$unsorted Bool))
% 1.03/1.25  (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted))
% 1.03/1.25  (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted))
% 1.03/1.25  (declare-const tptp.nil $$unsorted)
% 1.03/1.25  (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool))
% 1.03/1.25  (declare-const tptp.lt (-> $$unsorted $$unsorted Bool))
% 1.03/1.25  (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool))
% 1.03/1.25  (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool))
% 1.03/1.25  (declare-const tptp.gt (-> $$unsorted $$unsorted Bool))
% 1.03/1.25  (declare-const tptp.ssList (-> $$unsorted Bool))
% 1.03/1.25  (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool))
% 1.03/1.25  (declare-const tptp.cyclefreeP (-> $$unsorted Bool))
% 1.03/1.25  (declare-const tptp.ssItem (-> $$unsorted Bool))
% 1.03/1.25  (declare-const tptp.leq (-> $$unsorted $$unsorted Bool))
% 1.03/1.25  (define @t1 () (@var "V" $$unsorted))
% 1.03/1.25  (define @t2 () (@var "U" $$unsorted))
% 1.03/1.25  (define @t3 () (= @t2 @t1))
% 1.03/1.25  (define @t4 () (not @t3))
% 1.03/1.25  (define @t5 () (= (tptp.neq @t2 @t1) @t4))
% 1.03/1.25  (define @t6 () (tptp.ssItem @t1))
% 1.03/1.25  (define @t7 () (@list @t1))
% 1.03/1.25  (define @t8 () (tptp.ssItem @t2))
% 1.03/1.25  (define @t9 () (@list @t2))
% 1.03/1.25  (define @t10 () (@var "X" $$unsorted))
% 1.03/1.25  (define @t11 () (tptp.cons @t1 @t10))
% 1.03/1.25  (define @t12 () (@var "W" $$unsorted))
% 1.03/1.25  (define @t13 () (tptp.ssList @t10))
% 1.03/1.25  (define @t14 () (@list @t10))
% 1.03/1.25  (define @t15 () (tptp.ssList @t12))
% 1.03/1.25  (define @t16 () (@list @t12))
% 1.03/1.25  (define @t17 () (tptp.ssList @t2))
% 1.03/1.25  (define @t18 () (tptp.cons @t1 tptp.nil))
% 1.03/1.25  (define @t19 () (and @t6 (= @t18 @t2)))
% 1.03/1.25  (define @t20 () (exists @t7 @t19))
% 1.03/1.25  (define @t21 () (tptp.singletonP @t2))
% 1.03/1.25  (define @t22 () (= @t21 @t20))
% 1.03/1.25  (define @t23 () (=> @t17 @t22))
% 1.03/1.25  (define @t24 () (forall @t9 @t23))
% 1.03/1.25  (define @t25 () (tptp.app @t1 @t12))
% 1.03/1.25  (define @t26 () (tptp.frontsegP @t2 @t1))
% 1.03/1.25  (define @t27 () (tptp.ssList @t1))
% 1.03/1.25  (define @t28 () (tptp.app @t12 @t1))
% 1.03/1.25  (define @t29 () (tptp.rearsegP @t2 @t1))
% 1.03/1.25  (define @t30 () (tptp.app @t28 @t10))
% 1.03/1.25  (define @t31 () (and @t13 (= @t30 @t2)))
% 1.03/1.25  (define @t32 () (exists @t14 @t31))
% 1.03/1.25  (define @t33 () (and @t15 @t32))
% 1.03/1.25  (define @t34 () (exists @t16 @t33))
% 1.03/1.25  (define @t35 () (tptp.segmentP @t2 @t1))
% 1.03/1.25  (define @t36 () (= @t35 @t34))
% 1.03/1.25  (define @t37 () (=> @t27 @t36))
% 1.03/1.25  (define @t38 () (forall @t7 @t37))
% 1.03/1.25  (define @t39 () (=> @t17 @t38))
% 1.03/1.25  (define @t40 () (forall @t9 @t39))
% 1.03/1.25  (define @t41 () (tptp.leq @t12 @t1))
% 1.03/1.25  (define @t42 () (tptp.leq @t1 @t12))
% 1.03/1.25  (define @t43 () (@var "Z" $$unsorted))
% 1.03/1.25  (define @t44 () (@var "Y" $$unsorted))
% 1.03/1.25  (define @t45 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t44)) (tptp.cons @t12 @t43)) @t2))
% 1.03/1.25  (define @t46 () (tptp.ssList @t43))
% 1.03/1.25  (define @t47 () (@list @t43))
% 1.03/1.25  (define @t48 () (tptp.ssList @t44))
% 1.03/1.25  (define @t49 () (@list @t44))
% 1.03/1.25  (define @t50 () (tptp.ssItem @t12))
% 1.03/1.25  (define @t51 () (tptp.lt @t1 @t12))
% 1.03/1.25  (define @t52 () (= @t1 @t12))
% 1.03/1.25  (define @t53 () (forall @t7 (=> @t27 @t5)))
% 1.03/1.25  (define @t54 () (=> @t17 @t53))
% 1.03/1.25  (define @t55 () (forall @t9 @t54))
% 1.03/1.25  (define @t56 () (tptp.cons @t1 @t2))
% 1.03/1.25  (define @t57 () (tptp.ssList tptp.nil))
% 1.03/1.25  (define @t58 () (= @t1 @t2))
% 1.03/1.25  (define @t59 () (tptp.cons @t12 @t1))
% 1.03/1.25  (define @t60 () (= tptp.nil @t2))
% 1.03/1.25  (define @t61 () (tptp.hd @t2))
% 1.03/1.25  (define @t62 () (not @t60))
% 1.03/1.25  (define @t63 () (tptp.tl @t2))
% 1.03/1.25  (define @t64 () (tptp.app @t2 @t1))
% 1.03/1.25  (define @t65 () (tptp.app @t1 @t2))
% 1.03/1.25  (define @t66 () (tptp.leq @t1 @t2))
% 1.03/1.25  (define @t67 () (tptp.leq @t2 @t1))
% 1.03/1.25  (define @t68 () (tptp.geq @t2 @t1))
% 1.03/1.25  (define @t69 () (tptp.lt @t1 @t2))
% 1.03/1.25  (define @t70 () (tptp.lt @t2 @t1))
% 1.03/1.25  (define @t71 () (tptp.lt @t2 @t12))
% 1.03/1.25  (define @t72 () (tptp.gt @t2 @t1))
% 1.03/1.25  (define @t73 () (tptp.memberP @t12 @t2))
% 1.03/1.25  (define @t74 () (tptp.app @t12 @t2))
% 1.03/1.25  (define @t75 () (tptp.segmentP @t1 @t2))
% 1.03/1.25  (define @t76 () (tptp.segmentP @t2 @t2))
% 1.03/1.25  (define @t77 () (forall @t9 (=> @t17 @t76)))
% 1.03/1.25  (define @t78 () (tptp.cons @t2 tptp.nil))
% 1.03/1.25  (define @t79 () (tptp.hd @t1))
% 1.03/1.25  (define @t80 () (= tptp.nil @t1))
% 1.03/1.25  (define @t81 () (not @t80))
% 1.03/1.25  (define @t82 () (tptp.cons @t2 @t1))
% 1.03/1.25  (define @t83 () (= @t12 @t2))
% 1.03/1.25  (define @t84 () (and @t75 (or (not (tptp.neq @t1 tptp.nil)) @t21)))
% 1.03/1.25  (define @t85 () (not (= tptp.nil @t12)))
% 1.03/1.25  (define @t86 () (not (= tptp.nil @t10)))
% 1.03/1.25  (define @t87 () (or @t86 @t85))
% 1.03/1.25  (define @t88 () (@var "X3" $$unsorted))
% 1.03/1.25  (define @t89 () (tptp.lt @t88 @t44))
% 1.03/1.25  (define @t90 () (@var "X1" $$unsorted))
% 1.03/1.25  (define @t91 () (tptp.memberP @t90 @t88))
% 1.03/1.25  (define @t92 () (tptp.ssItem @t88))
% 1.03/1.25  (define @t93 () (and @t92 @t91 @t89))
% 1.03/1.25  (define @t94 () (@list @t88))
% 1.03/1.25  (define @t95 () (exists @t94 @t93))
% 1.03/1.25  (define @t96 () (@var "X2" $$unsorted))
% 1.03/1.25  (define @t97 () (tptp.lt @t44 @t96))
% 1.03/1.25  (define @t98 () (tptp.memberP @t43 @t96))
% 1.03/1.25  (define @t99 () (tptp.ssItem @t96))
% 1.03/1.25  (define @t100 () (and @t99 @t98 @t97))
% 1.03/1.25  (define @t101 () (@list @t96))
% 1.03/1.25  (define @t102 () (exists @t101 @t100))
% 1.03/1.25  (define @t103 () (tptp.app @t43 @t12))
% 1.03/1.25  (define @t104 () (tptp.app @t103 @t90))
% 1.03/1.25  (define @t105 () (not (= @t104 @t10)))
% 1.03/1.25  (define @t106 () (tptp.cons @t44 tptp.nil))
% 1.03/1.25  (define @t107 () (not (= @t106 @t12)))
% 1.03/1.25  (define @t108 () (not (tptp.ssList @t90)))
% 1.03/1.25  (define @t109 () (or @t108 @t107 @t105 @t102 @t95))
% 1.03/1.25  (define @t110 () (@list @t90))
% 1.03/1.25  (define @t111 () (forall @t110 @t109))
% 1.03/1.25  (define @t112 () (=> @t46 @t111))
% 1.03/1.25  (define @t113 () (forall @t47 @t112))
% 1.03/1.25  (define @t114 () (tptp.ssItem @t44))
% 1.03/1.25  (define @t115 () (=> @t114 @t113))
% 1.03/1.25  (define @t116 () (forall @t49 @t115))
% 1.03/1.25  (define @t117 () (and @t116 @t87))
% 1.03/1.25  (define @t118 () (not (= @t2 @t12)))
% 1.03/1.25  (define @t119 () (not (= @t1 @t10)))
% 1.03/1.25  (define @t120 () (not @t13))
% 1.03/1.25  (define @t121 () (or @t120 @t119 @t118 @t117 @t84))
% 1.03/1.25  (define @t122 () (forall @t14 @t121))
% 1.03/1.25  (define @t123 () (=> @t15 @t122))
% 1.03/1.25  (define @t124 () (forall @t16 @t123))
% 1.03/1.25  (define @t125 () (=> @t27 @t124))
% 1.03/1.25  (define @t126 () (forall @t7 @t125))
% 1.03/1.25  (define @t127 () (=> @t17 @t126))
% 1.03/1.25  (define @t128 () (forall @t9 @t127))
% 1.03/1.25  (define @t129 () (not @t128))
% 1.03/1.25  (define @t130 () (= @t2 @t18))
% 1.03/1.25  (define @t131 () (not @t6))
% 1.03/1.25  (define @t132 () (= @t21 (not (forall @t7 (or @t131 (not @t130))))))
% 1.03/1.25  (define @t133 () (and @t6 @t130))
% 1.03/1.25  (define @t134 () (forall @t7 (not @t133)))
% 1.03/1.25  (define @t135 () (not @t134))
% 1.03/1.25  (define @t136 () (not (= @t2 tptp.nil)))
% 1.03/1.25  (define @t137 () (@var "BOUND_VARIABLE_11304" $$unsorted))
% 1.03/1.25  (define @t138 () (@var "BOUND_VARIABLE_11306" $$unsorted))
% 1.03/1.25  (define @t139 () (@var "BOUND_VARIABLE_11310" $$unsorted))
% 1.03/1.25  (define @t140 () (not @t92))
% 1.03/1.25  (define @t141 () (@var "BOUND_VARIABLE_11308" $$unsorted))
% 1.03/1.25  (define @t142 () (not @t99))
% 1.03/1.25  (define @t143 () (or (not (tptp.ssItem @t138)) (not (= @t2 (tptp.cons @t138 tptp.nil))) (not (tptp.ssList @t141)) (not (forall @t101 (or @t142 (not (tptp.memberP @t141 @t96)) (not (tptp.lt @t138 @t96))))) (not (tptp.ssList @t139)) (not (= @t137 (tptp.app (tptp.app @t141 @t2) @t139))) (not (forall @t94 (or @t140 (not (tptp.memberP @t139 @t88)) (not (tptp.lt @t88 @t138)))))))
% 1.03/1.25  (define @t144 () (and (tptp.segmentP @t137 @t2) (or (not (tptp.neq @t137 tptp.nil)) @t21)))
% 1.03/1.25  (define @t145 () (not (tptp.ssList @t137)))
% 1.03/1.25  (define @t146 () (not @t17))
% 1.03/1.25  (define @t147 () (@list @t2 @t137 @t138 @t141 @t139))
% 1.03/1.25  (define @t148 () (forall @t147 (or @t146 @t145 @t144 (and @t143 (or (not (= tptp.nil @t137)) @t136)))))
% 1.03/1.25  (define @t149 () (@quantifiers_skolemize @t148 0))
% 1.03/1.25  (define @t150 () (not (= @t149 @t18)))
% 1.03/1.25  (define @t151 () (or @t131 @t150))
% 1.03/1.25  (define @t152 () (forall @t7 @t151))
% 1.03/1.25  (define @t153 () (not @t152))
% 1.03/1.25  (define @t154 () (tptp.singletonP @t149))
% 1.03/1.25  (define @t155 () (= @t154 @t153))
% 1.03/1.25  (define @t156 () (tptp.ssList @t149))
% 1.03/1.25  (define @t157 () (not @t156))
% 1.03/1.25  (define @t158 () (or @t157 @t155))
% 1.03/1.25  (define @t159 () (forall @t9 (or @t146 @t132)))
% 1.03/1.25  (define @t160 () (forall @t7 (or @t131 (not (= @t18 @t149)))))
% 1.03/1.25  (define @t161 () (not @t160))
% 1.03/1.25  (define @t162 () (= @t154 @t161))
% 1.03/1.25  (define @t163 () (or @t157 @t162))
% 1.03/1.25  (define @t164 () (@list false))
% 1.03/1.25  (define @t165 () (not (= @t137 tptp.nil)))
% 1.03/1.25  (define @t166 () (or @t165 @t136))
% 1.03/1.25  (define @t167 () (and @t143 @t166))
% 1.03/1.25  (define @t168 () (or @t146 @t145 @t144 @t167))
% 1.03/1.25  (define @t169 () (or @t145 @t144 @t167))
% 1.03/1.25  (define @t170 () (or @t146 @t169))
% 1.03/1.25  (define @t171 () (forall @t147 @t170))
% 1.03/1.25  (define @t172 () (@list @t137 @t138 @t141 @t139))
% 1.03/1.25  (define @t173 () (forall @t172 @t170))
% 1.03/1.25  (define @t174 () (forall @t172 @t169))
% 1.03/1.25  (define @t175 () (@var "BOUND_VARIABLE_11266" $$unsorted))
% 1.03/1.25  (define @t176 () (@var "BOUND_VARIABLE_11264" $$unsorted))
% 1.03/1.25  (define @t177 () (@var "BOUND_VARIABLE_11262" $$unsorted))
% 1.03/1.25  (define @t178 () (or @t146 @t174))
% 1.03/1.25  (define @t179 () (not (= @t1 tptp.nil)))
% 1.03/1.25  (define @t180 () (or @t179 @t136))
% 1.03/1.25  (define @t181 () (or (not (tptp.ssItem @t177)) (not (= @t2 (tptp.cons @t177 tptp.nil))) (not (tptp.ssList @t176)) (not (forall @t101 (or @t142 (not (tptp.memberP @t176 @t96)) (not (tptp.lt @t177 @t96))))) (not (tptp.ssList @t175)) (not (= @t1 (tptp.app (tptp.app @t176 @t2) @t175))) (not (forall @t94 (or @t140 (not (tptp.memberP @t175 @t88)) (not (tptp.lt @t88 @t177)))))))
% 1.03/1.25  (define @t182 () (and @t181 @t180))
% 1.03/1.25  (define @t183 () (not @t27))
% 1.03/1.25  (define @t184 () (or @t183 @t84 @t182))
% 1.03/1.25  (define @t185 () (forall (@list @t1 @t177 @t176 @t175) @t184))
% 1.03/1.25  (define @t186 () (or @t146 @t185))
% 1.03/1.25  (define @t187 () (@list @t177 @t176 @t175))
% 1.03/1.25  (define @t188 () (forall @t187 @t184))
% 1.03/1.25  (define @t189 () (forall @t187 @t180))
% 1.03/1.25  (define @t190 () (forall @t187 @t181))
% 1.03/1.25  (define @t191 () (@var "BOUND_VARIABLE_11213" $$unsorted))
% 1.03/1.25  (define @t192 () (@var "BOUND_VARIABLE_11211" $$unsorted))
% 1.03/1.25  (define @t193 () (@var "BOUND_VARIABLE_11209" $$unsorted))
% 1.03/1.25  (define @t194 () (@list @t193 @t192 @t191))
% 1.03/1.25  (define @t195 () (and @t190 @t189))
% 1.03/1.25  (define @t196 () (forall @t187 @t182))
% 1.03/1.25  (define @t197 () (or @t183 @t84 @t196))
% 1.03/1.25  (define @t198 () (and (forall (@list @t193 @t192 @t191) (or (not (tptp.ssItem @t193)) (not (= @t2 (tptp.cons @t193 tptp.nil))) (not (tptp.ssList @t192)) (not (forall @t101 (or @t142 (not (tptp.memberP @t192 @t96)) (not (tptp.lt @t193 @t96))))) (not (tptp.ssList @t191)) (not (= @t1 (tptp.app (tptp.app @t192 @t2) @t191))) (not (forall @t94 (or @t140 (not (tptp.memberP @t191 @t88)) (not (tptp.lt @t88 @t193))))))) @t180))
% 1.03/1.25  (define @t199 () (or @t183 @t84 @t198))
% 1.03/1.25  (define @t200 () (forall @t7 @t199))
% 1.03/1.25  (define @t201 () (or @t146 @t200))
% 1.03/1.25  (define @t202 () (or @t146 @t199))
% 1.03/1.25  (define @t203 () (or @t183 @t84 @t146 @t198))
% 1.03/1.25  (define @t204 () (or @t84 @t183 @t146 @t198))
% 1.03/1.25  (define @t205 () (@var "BOUND_VARIABLE_11156" $$unsorted))
% 1.03/1.25  (define @t206 () (@var "BOUND_VARIABLE_11154" $$unsorted))
% 1.03/1.25  (define @t207 () (@var "BOUND_VARIABLE_11152" $$unsorted))
% 1.03/1.25  (define @t208 () (@list @t207 @t206 @t205))
% 1.03/1.25  (define @t209 () (forall @t208 @t180))
% 1.03/1.25  (define @t210 () (not (forall @t94 (or @t140 (not (tptp.memberP @t205 @t88)) (not (tptp.lt @t88 @t207))))))
% 1.03/1.25  (define @t211 () (not (tptp.ssList @t205)))
% 1.03/1.25  (define @t212 () (not (forall @t101 (or @t142 (not (tptp.memberP @t206 @t96)) (not (tptp.lt @t207 @t96))))))
% 1.03/1.25  (define @t213 () (not (tptp.ssList @t206)))
% 1.03/1.25  (define @t214 () (tptp.cons @t207 tptp.nil))
% 1.03/1.25  (define @t215 () (not (tptp.ssItem @t207)))
% 1.03/1.25  (define @t216 () (or @t215 (not (= @t2 @t214)) @t213 @t212 @t211 (not (= @t1 (tptp.app (tptp.app @t206 @t2) @t205))) @t210))
% 1.03/1.26  (define @t217 () (forall @t208 @t216))
% 1.03/1.26  (define @t218 () (@list @t207 @t206 @t205))
% 1.03/1.26  (define @t219 () (and @t217 @t209))
% 1.03/1.26  (define @t220 () (and @t216 @t180))
% 1.03/1.26  (define @t221 () (forall @t208 @t220))
% 1.03/1.26  (define @t222 () (or @t146 @t221))
% 1.03/1.26  (define @t223 () (or @t146 @t220))
% 1.03/1.26  (define @t224 () (not (= @t2 @t2)))
% 1.03/1.26  (define @t225 () (or @t146 @t224 @t220))
% 1.03/1.26  (define @t226 () (not (= @t12 tptp.nil)))
% 1.03/1.26  (define @t227 () (or @t179 @t226))
% 1.03/1.26  (define @t228 () (or @t215 (not (= @t12 @t214)) @t213 @t212 @t211 (not (= @t1 (tptp.app (tptp.app @t206 @t12) @t205))) @t210))
% 1.03/1.26  (define @t229 () (and @t228 @t227))
% 1.03/1.26  (define @t230 () (not @t15))
% 1.03/1.26  (define @t231 () (or @t118 @t230 @t118 @t229))
% 1.03/1.26  (define @t232 () (or @t230 @t118 @t229))
% 1.03/1.26  (define @t233 () (forall @t16 @t232))
% 1.03/1.26  (define @t234 () (forall @t208 @t233))
% 1.03/1.26  (define @t235 () (forall (@list @t207 @t206 @t205 @t12) @t232))
% 1.03/1.26  (define @t236 () (forall (@list @t12 @t207 @t206 @t205) @t232))
% 1.03/1.26  (define @t237 () (forall @t208 @t232))
% 1.03/1.26  (define @t238 () (forall @t208 @t227))
% 1.03/1.26  (define @t239 () (forall @t208 @t228))
% 1.03/1.26  (define @t240 () (@var "BOUND_VARIABLE_11103" $$unsorted))
% 1.03/1.26  (define @t241 () (@var "BOUND_VARIABLE_11101" $$unsorted))
% 1.03/1.26  (define @t242 () (@var "BOUND_VARIABLE_11099" $$unsorted))
% 1.03/1.26  (define @t243 () (@list @t242 @t241 @t240))
% 1.03/1.26  (define @t244 () (and @t239 @t238))
% 1.03/1.26  (define @t245 () (forall @t208 @t229))
% 1.03/1.26  (define @t246 () (or @t230 @t118 @t245))
% 1.03/1.26  (define @t247 () (and (forall (@list @t242 @t241 @t240) (or (not (tptp.ssItem @t242)) (not (= @t12 (tptp.cons @t242 tptp.nil))) (not (tptp.ssList @t241)) (not (forall @t101 (or @t142 (not (tptp.memberP @t241 @t96)) (not (tptp.lt @t242 @t96))))) (not (tptp.ssList @t240)) (not (= @t1 (tptp.app (tptp.app @t241 @t12) @t240))) (not (forall @t94 (or @t140 (not (tptp.memberP @t240 @t88)) (not (tptp.lt @t88 @t242))))))) @t227))
% 1.03/1.26  (define @t248 () (or @t230 @t118 @t247))
% 1.03/1.26  (define @t249 () (forall @t16 @t248))
% 1.03/1.26  (define @t250 () (or @t84 @t183 @t249))
% 1.03/1.26  (define @t251 () (or @t84 @t183 @t248))
% 1.03/1.26  (define @t252 () (or @t230 @t118 @t84 @t183 @t247))
% 1.03/1.26  (define @t253 () (or @t118 @t84 @t183 @t247))
% 1.03/1.26  (define @t254 () (@var "BOUND_VARIABLE_11052" $$unsorted))
% 1.03/1.26  (define @t255 () (@var "BOUND_VARIABLE_11050" $$unsorted))
% 1.03/1.26  (define @t256 () (@var "BOUND_VARIABLE_11048" $$unsorted))
% 1.03/1.26  (define @t257 () (@list @t256 @t255 @t254))
% 1.03/1.26  (define @t258 () (forall @t257 @t227))
% 1.03/1.26  (define @t259 () (not (forall @t94 (or @t140 (not (tptp.memberP @t254 @t88)) (not (tptp.lt @t88 @t256))))))
% 1.03/1.26  (define @t260 () (tptp.app (tptp.app @t255 @t12) @t254))
% 1.03/1.26  (define @t261 () (not (tptp.ssList @t254)))
% 1.03/1.26  (define @t262 () (not (forall @t101 (or @t142 (not (tptp.memberP @t255 @t96)) (not (tptp.lt @t256 @t96))))))
% 1.03/1.26  (define @t263 () (not (tptp.ssList @t255)))
% 1.03/1.26  (define @t264 () (not (= @t12 (tptp.cons @t256 tptp.nil))))
% 1.03/1.26  (define @t265 () (not (tptp.ssItem @t256)))
% 1.03/1.26  (define @t266 () (or @t265 @t264 @t263 @t262 @t261 (not (= @t1 @t260)) @t259))
% 1.03/1.26  (define @t267 () (forall @t257 @t266))
% 1.03/1.26  (define @t268 () (@list @t256 @t255 @t254))
% 1.03/1.26  (define @t269 () (and @t267 @t258))
% 1.03/1.26  (define @t270 () (and @t266 @t227))
% 1.03/1.26  (define @t271 () (forall @t257 @t270))
% 1.03/1.26  (define @t272 () (or @t183 @t271))
% 1.03/1.26  (define @t273 () (or @t183 @t270))
% 1.03/1.26  (define @t274 () (not (= @t1 @t1)))
% 1.03/1.26  (define @t275 () (or @t183 @t274 @t270))
% 1.03/1.26  (define @t276 () (or (not (= @t10 tptp.nil)) @t226))
% 1.03/1.26  (define @t277 () (or @t265 @t264 @t263 @t262 @t261 (not (= @t10 @t260)) @t259))
% 1.03/1.26  (define @t278 () (and @t277 @t276))
% 1.03/1.26  (define @t279 () (or @t119 @t120 @t119 @t278))
% 1.03/1.26  (define @t280 () (or @t120 @t119 @t278))
% 1.03/1.26  (define @t281 () (forall @t14 @t280))
% 1.03/1.26  (define @t282 () (forall @t257 @t281))
% 1.03/1.26  (define @t283 () (forall (@list @t256 @t255 @t254 @t10) @t280))
% 1.03/1.26  (define @t284 () (forall (@list @t10 @t256 @t255 @t254) @t280))
% 1.03/1.26  (define @t285 () (forall @t257 @t280))
% 1.03/1.26  (define @t286 () (forall @t257 @t276))
% 1.03/1.26  (define @t287 () (forall @t257 @t277))
% 1.03/1.26  (define @t288 () (@var "BOUND_VARIABLE_11011" $$unsorted))
% 1.03/1.26  (define @t289 () (@var "BOUND_VARIABLE_11009" $$unsorted))
% 1.03/1.26  (define @t290 () (and @t287 @t286))
% 1.03/1.26  (define @t291 () (forall @t257 @t278))
% 1.03/1.26  (define @t292 () (or @t120 @t119 @t291))
% 1.03/1.26  (define @t293 () (not @t89))
% 1.03/1.26  (define @t294 () (not (forall @t94 (or @t140 (not (tptp.memberP @t288 @t88)) @t293))))
% 1.03/1.26  (define @t295 () (not (= @t10 (tptp.app (tptp.app @t289 @t12) @t288))))
% 1.03/1.26  (define @t296 () (not (tptp.ssList @t288)))
% 1.03/1.26  (define @t297 () (not @t97))
% 1.03/1.26  (define @t298 () (not (forall @t101 (or @t142 (not (tptp.memberP @t289 @t96)) @t297))))
% 1.03/1.26  (define @t299 () (not (tptp.ssList @t289)))
% 1.03/1.26  (define @t300 () (not (= @t12 @t106)))
% 1.03/1.26  (define @t301 () (not @t114))
% 1.03/1.26  (define @t302 () (or @t301 @t300 @t299 @t298 @t296 @t295 @t294))
% 1.03/1.26  (define @t303 () (@list @t44 @t289 @t288))
% 1.03/1.26  (define @t304 () (and (forall @t303 @t302) @t276))
% 1.03/1.26  (define @t305 () (or @t120 @t119 @t304))
% 1.03/1.26  (define @t306 () (forall @t14 @t305))
% 1.03/1.26  (define @t307 () (or @t118 @t84 @t306))
% 1.03/1.26  (define @t308 () (or @t118 @t84 @t305))
% 1.03/1.26  (define @t309 () (or @t120 @t119 @t118 @t304 @t84))
% 1.03/1.26  (define @t310 () (or @t299 @t298 @t296 @t295 @t294))
% 1.03/1.26  (define @t311 () (or @t301 @t300 @t310))
% 1.03/1.26  (define @t312 () (forall @t303 @t311))
% 1.03/1.26  (define @t313 () (@list @t289 @t288))
% 1.03/1.26  (define @t314 () (forall @t313 @t311))
% 1.03/1.26  (define @t315 () (forall @t313 @t310))
% 1.03/1.26  (define @t316 () (@var "BOUND_VARIABLE_10985" $$unsorted))
% 1.03/1.26  (define @t317 () (or @t301 @t300 @t315))
% 1.03/1.26  (define @t318 () (not (forall @t94 (or @t140 (not (tptp.memberP @t316 @t88)) @t293))))
% 1.03/1.26  (define @t319 () (not (= @t10 (tptp.app @t103 @t316))))
% 1.03/1.26  (define @t320 () (not (tptp.ssList @t316)))
% 1.03/1.26  (define @t321 () (not @t98))
% 1.03/1.26  (define @t322 () (or @t142 @t321 @t297))
% 1.03/1.26  (define @t323 () (not (forall @t101 @t322)))
% 1.03/1.26  (define @t324 () (not @t46))
% 1.03/1.26  (define @t325 () (or @t324 @t323 @t320 @t319 @t318))
% 1.03/1.26  (define @t326 () (@list @t43 @t316))
% 1.03/1.26  (define @t327 () (forall @t326 @t325))
% 1.03/1.26  (define @t328 () (or @t301 @t300 @t327))
% 1.03/1.26  (define @t329 () (or @t300 @t327))
% 1.03/1.26  (define @t330 () (or @t320 @t319 @t318))
% 1.03/1.26  (define @t331 () (or @t324 @t323 @t330))
% 1.03/1.26  (define @t332 () (forall @t326 @t331))
% 1.03/1.26  (define @t333 () (@list @t316))
% 1.03/1.26  (define @t334 () (forall @t333 @t331))
% 1.03/1.26  (define @t335 () (forall @t333 @t330))
% 1.03/1.26  (define @t336 () (or @t324 @t323 @t335))
% 1.03/1.26  (define @t337 () (not @t91))
% 1.03/1.26  (define @t338 () (or @t140 @t337 @t293))
% 1.03/1.26  (define @t339 () (not (forall @t94 @t338)))
% 1.03/1.26  (define @t340 () (not (= @t10 @t104)))
% 1.03/1.26  (define @t341 () (or @t108 @t340 @t339))
% 1.03/1.26  (define @t342 () (forall @t110 @t341))
% 1.03/1.26  (define @t343 () (or @t324 @t323 @t342))
% 1.03/1.26  (define @t344 () (forall @t47 @t343))
% 1.03/1.26  (define @t345 () (or @t300 @t344))
% 1.03/1.26  (define @t346 () (or @t300 @t343))
% 1.03/1.26  (define @t347 () (or @t324 @t300 @t323 @t342))
% 1.03/1.26  (define @t348 () (or @t300 @t323 @t342))
% 1.03/1.26  (define @t349 () (or @t300 @t323 @t341))
% 1.03/1.26  (define @t350 () (or @t108 @t300 @t340 @t323 @t339))
% 1.03/1.26  (define @t351 () (forall @t94 (not @t93)))
% 1.03/1.26  (define @t352 () (not @t351))
% 1.03/1.26  (define @t353 () (forall @t101 (not @t100)))
% 1.03/1.26  (define @t354 () (not @t353))
% 1.03/1.26  (define @t355 () (= tptp.nil @t149))
% 1.03/1.26  (define @t356 () (not @t355))
% 1.03/1.26  (define @t357 () (@quantifiers_skolemize @t148 1))
% 1.03/1.26  (define @t358 () (= tptp.nil @t357))
% 1.03/1.26  (define @t359 () (not @t358))
% 1.03/1.26  (define @t360 () (or @t359 @t356))
% 1.03/1.26  (define @t361 () (@quantifiers_skolemize @t148 2))
% 1.03/1.26  (define @t362 () (@quantifiers_skolemize @t148 4))
% 1.03/1.26  (define @t363 () (@quantifiers_skolemize @t148 3))
% 1.03/1.26  (define @t364 () (= @t357 (tptp.app (tptp.app @t363 @t149) @t362)))
% 1.03/1.26  (define @t365 () (not @t364))
% 1.03/1.26  (define @t366 () (tptp.ssList @t362))
% 1.03/1.26  (define @t367 () (not @t366))
% 1.03/1.26  (define @t368 () (tptp.ssList @t363))
% 1.03/1.26  (define @t369 () (not @t368))
% 1.03/1.26  (define @t370 () (tptp.cons @t361 tptp.nil))
% 1.03/1.26  (define @t371 () (= @t149 @t370))
% 1.03/1.26  (define @t372 () (not @t371))
% 1.03/1.26  (define @t373 () (tptp.ssItem @t361))
% 1.03/1.26  (define @t374 () (not @t373))
% 1.03/1.26  (define @t375 () (or @t374 @t372 @t369 (not (forall @t101 (or @t142 (not (tptp.memberP @t363 @t96)) (not (tptp.lt @t361 @t96))))) @t367 @t365 (not (forall @t94 (or @t140 (not (tptp.memberP @t362 @t88)) (not (tptp.lt @t88 @t361)))))))
% 1.03/1.26  (define @t376 () (and @t375 @t360))
% 1.03/1.26  (define @t377 () (tptp.neq @t357 tptp.nil))
% 1.03/1.26  (define @t378 () (not @t377))
% 1.03/1.26  (define @t379 () (or @t378 @t154))
% 1.03/1.26  (define @t380 () (tptp.segmentP @t357 @t149))
% 1.03/1.26  (define @t381 () (and @t380 @t379))
% 1.03/1.26  (define @t382 () (tptp.ssList @t357))
% 1.03/1.26  (define @t383 () (not @t382))
% 1.03/1.26  (define @t384 () (or @t157 @t383 @t381 @t376))
% 1.03/1.26  (define @t385 () (not @t384))
% 1.03/1.26  (define @t386 () (not @t148))
% 1.03/1.26  (define @t387 () (not (= @t149 tptp.nil)))
% 1.03/1.26  (define @t388 () (or @t359 @t387))
% 1.03/1.26  (define @t389 () (and @t375 @t388))
% 1.03/1.26  (define @t390 () (or @t157 @t383 @t381 @t389))
% 1.03/1.26  (define @t391 () (not @t390))
% 1.03/1.26  (define @t392 () (@list true))
% 1.03/1.26  (define @t393 () (@list @t384))
% 1.03/1.26  (define @t394 () (@list false false))
% 1.03/1.26  (define @t395 () (@var "BOUND_VARIABLE_8410" $$unsorted))
% 1.03/1.26  (define @t396 () (@var "BOUND_VARIABLE_8433" $$unsorted))
% 1.03/1.26  (define @t397 () (not (tptp.ssList @t395)))
% 1.03/1.26  (define @t398 () (@list @t12 @t395))
% 1.03/1.26  (define @t399 () (= (tptp.segmentP @t2 @t396) (not (forall @t398 (or @t230 @t397 (not (= @t2 (tptp.app (tptp.app @t12 @t396) @t395))))))))
% 1.03/1.26  (define @t400 () (not (tptp.ssList @t396)))
% 1.03/1.26  (define @t401 () (or @t400 @t399))
% 1.03/1.26  (define @t402 () (or @t146 @t401))
% 1.03/1.26  (define @t403 () (forall (@list @t2 @t396) @t402))
% 1.03/1.26  (define @t404 () (@list @t396))
% 1.03/1.26  (define @t405 () (forall @t404 @t402))
% 1.03/1.26  (define @t406 () (forall @t404 @t401))
% 1.03/1.26  (define @t407 () (@list @t1))
% 1.03/1.26  (define @t408 () (or @t146 @t406))
% 1.03/1.26  (define @t409 () (not (= @t2 (tptp.app @t28 @t395))))
% 1.03/1.26  (define @t410 () (or @t230 @t397 @t409))
% 1.03/1.26  (define @t411 () (= @t35 (not (forall @t398 @t410))))
% 1.03/1.26  (define @t412 () (forall @t7 (or @t183 @t411)))
% 1.03/1.26  (define @t413 () (or @t397 @t409))
% 1.03/1.26  (define @t414 () (or @t230 @t413))
% 1.03/1.26  (define @t415 () (forall @t398 @t414))
% 1.03/1.26  (define @t416 () (@list @t395))
% 1.03/1.26  (define @t417 () (forall @t416 @t414))
% 1.03/1.26  (define @t418 () (forall @t416 @t413))
% 1.03/1.26  (define @t419 () (or @t230 @t418))
% 1.03/1.26  (define @t420 () (= @t2 @t30))
% 1.03/1.26  (define @t421 () (forall @t14 (or @t120 (not @t420))))
% 1.03/1.26  (define @t422 () (not @t421))
% 1.03/1.26  (define @t423 () (and @t15 @t422))
% 1.03/1.26  (define @t424 () (forall @t16 (not @t423)))
% 1.03/1.26  (define @t425 () (not @t424))
% 1.03/1.26  (define @t426 () (and @t13 @t420))
% 1.03/1.26  (define @t427 () (forall @t14 (not @t426)))
% 1.03/1.26  (define @t428 () (not @t427))
% 1.03/1.26  (define @t429 () (forall @t398 (or @t230 @t397 (not (= @t357 (tptp.app (tptp.app @t12 @t149) @t395))))))
% 1.03/1.26  (define @t430 () (not @t429))
% 1.03/1.26  (define @t431 () (= @t380 @t430))
% 1.03/1.26  (define @t432 () (or @t383 @t157 @t431))
% 1.03/1.26  (define @t433 () (@list false false false))
% 1.03/1.26  (define @t434 () (@var "BOUND_VARIABLE_9128" $$unsorted))
% 1.03/1.26  (define @t435 () (= (tptp.neq @t2 @t434) (not (= @t2 @t434))))
% 1.03/1.26  (define @t436 () (not (tptp.ssList @t434)))
% 1.03/1.26  (define @t437 () (or @t146 @t436 @t435))
% 1.03/1.26  (define @t438 () (or @t436 @t435))
% 1.03/1.26  (define @t439 () (or @t146 @t438))
% 1.03/1.26  (define @t440 () (@list @t2 @t434))
% 1.03/1.26  (define @t441 () (forall @t440 @t439))
% 1.03/1.26  (define @t442 () (@list @t434))
% 1.03/1.26  (define @t443 () (forall @t442 @t439))
% 1.03/1.26  (define @t444 () (forall @t442 @t438))
% 1.03/1.26  (define @t445 () (or @t146 @t444))
% 1.03/1.26  (define @t446 () (forall @t7 (or @t183 @t5)))
% 1.03/1.26  (define @t447 () (not (= @t357 tptp.nil)))
% 1.03/1.26  (define @t448 () (= @t377 @t447))
% 1.03/1.26  (define @t449 () (not @t57))
% 1.03/1.26  (define @t450 () (or @t383 @t449 @t448))
% 1.03/1.26  (define @t451 () (forall @t440 @t437))
% 1.03/1.26  (define @t452 () (= @t377 @t359))
% 1.03/1.26  (define @t453 () (or @t383 @t449 @t452))
% 1.03/1.26  (define @t454 () (tptp.segmentP tptp.nil tptp.nil))
% 1.03/1.26  (define @t455 () (or @t449 @t454))
% 1.03/1.26  (define @t456 () (and @t358 @t355 @t454))
% 1.03/1.26  (define @t457 () (@list true false))
% 1.03/1.26  (define @t458 () (@list @t375))
% 1.03/1.26  (define @t459 () (or @t369 @t367 @t365))
% 1.03/1.26  (define @t460 () (not @t459))
% 1.03/1.26  (define @t461 () (not @t431))
% 1.03/1.26  (define @t462 () (not @t162))
% 1.03/1.26  (define @t463 () (or @t374 @t372))
% 1.03/1.26  (define @t464 () (not @t463))
% 1.03/1.26  (define @t465 () (not (= @t370 @t149)))
% 1.03/1.26  (define @t466 () (or @t374 @t465))
% 1.03/1.26  (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5)))))
% 1.03/1.26  (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4)))))
% 1.03/1.26  (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)))))))))))
% 1.03/1.26  (assume @p4 @t24)
% 1.03/1.26  (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t26 (exists @t16 (and @t15 (= @t25 @t2)))))))))
% 1.03/1.26  (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t29 (exists @t16 (and @t15 (= @t28 @t2)))))))))
% 1.03/1.26  (assume @p7 @t40)
% 1.03/1.26  (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t50 (forall @t14 (=> @t13 (forall @t49 (=> @t48 (forall @t47 (=> @t46 (=> @t45 (not (and @t42 @t41)))))))))))))))))
% 1.03/1.26  (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t50 (forall @t14 (=> @t13 (forall @t49 (=> @t48 (forall @t47 (=> @t46 (=> @t45 (or @t42 @t41))))))))))))))))
% 1.03/1.26  (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t50 (forall @t14 (=> @t13 (forall @t49 (=> @t48 (forall @t47 (=> @t46 (=> @t45 (or @t51 (tptp.lt @t12 @t1)))))))))))))))))
% 1.03/1.26  (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t50 (forall @t14 (=> @t13 (forall @t49 (=> @t48 (forall @t47 (=> @t46 (=> @t45 @t42)))))))))))))))
% 1.03/1.26  (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t50 (forall @t14 (=> @t13 (forall @t49 (=> @t48 (forall @t47 (=> @t46 (=> @t45 @t51)))))))))))))))
% 1.03/1.26  (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t50 (forall @t14 (=> @t13 (forall @t49 (=> @t48 (forall @t47 (=> @t46 (=> @t45 (not @t52))))))))))))))))
% 1.03/1.26  (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t50 (forall @t14 (=> @t13 (forall @t49 (=> @t48 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t44))) @t2) @t52)))))))))))))
% 1.03/1.26  (assume @p15 @t55)
% 1.03/1.26  (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t56))))))
% 1.03/1.26  (assume @p17 @t57)
% 1.03/1.26  (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t56 @t2)))))))
% 1.03/1.26  (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t50 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t58)))))))))))
% 1.03/1.26  (assume @p20 (forall @t9 (=> @t17 (or @t60 (exists @t7 (and @t27 (exists @t16 (and @t50 (= @t59 @t2)))))))))
% 1.03/1.26  (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t56)))))))
% 1.03/1.26  (assume @p22 (forall @t9 (=> @t17 (=> @t62 (tptp.ssItem @t61)))))
% 1.03/1.26  (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t56) @t1))))))
% 1.03/1.26  (assume @p24 (forall @t9 (=> @t17 (=> @t62 (tptp.ssList @t63)))))
% 1.03/1.26  (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t56) @t2))))))
% 1.03/1.26  (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (tptp.ssList @t64))))))
% 1.03/1.26  (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t50 (= (tptp.cons @t12 @t65) (tptp.app @t59 @t2)))))))))
% 1.03/1.26  (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2))))
% 1.03/1.26  (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t67 @t66) @t3))))))
% 1.03/1.26  (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t50 (=> (and @t67 @t42) (tptp.leq @t2 @t12)))))))))
% 1.03/1.26  (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2))))
% 1.03/1.26  (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t68 @t66))))))
% 1.03/1.26  (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t70 (not @t69)))))))
% 1.03/1.26  (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t50 (=> (and @t70 @t51) @t71))))))))
% 1.03/1.26  (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t72 @t69))))))
% 1.03/1.26  (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.memberP @t25 @t2) (or (tptp.memberP @t1 @t2) @t73)))))))))
% 1.03/1.26  (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t73)))))))))
% 1.03/1.26  (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2)))))
% 1.03/1.26  (assume @p39 (not (tptp.singletonP tptp.nil)))
% 1.03/1.26  (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t26 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12)))))))))
% 1.03/1.26  (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t26 (tptp.frontsegP @t1 @t2)) @t3))))))
% 1.03/1.26  (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2))))
% 1.03/1.26  (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t26 (tptp.frontsegP (tptp.app @t2 @t12) @t1)))))))))
% 1.03/1.26  (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))))))))))))
% 1.03/1.26  (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil))))
% 1.03/1.26  (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t60))))
% 1.03/1.26  (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t29 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12)))))))))
% 1.03/1.26  (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t29 (tptp.rearsegP @t1 @t2)) @t3))))))
% 1.03/1.26  (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2))))
% 1.03/1.26  (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t29 (tptp.rearsegP @t74 @t1)))))))))
% 1.03/1.26  (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil))))
% 1.03/1.26  (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t60))))
% 1.03/1.26  (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t35 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12)))))))))
% 1.03/1.26  (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t35 @t75) @t3))))))
% 1.03/1.26  (assume @p55 @t77)
% 1.03/1.26  (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t35 (tptp.segmentP (tptp.app @t74 @t10) @t1)))))))))))
% 1.03/1.26  (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil))))
% 1.03/1.26  (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t60))))
% 1.03/1.26  (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t78))))
% 1.03/1.26  (assume @p60 (tptp.cyclefreeP tptp.nil))
% 1.03/1.26  (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t78))))
% 1.03/1.26  (assume @p62 (tptp.totalorderP tptp.nil))
% 1.03/1.26  (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t78))))
% 1.03/1.26  (assume @p64 (tptp.strictorderP tptp.nil))
% 1.03/1.26  (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t78))))
% 1.03/1.26  (assume @p66 (tptp.totalorderedP tptp.nil))
% 1.03/1.26  (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.totalorderedP @t82) (or @t80 (and @t81 (tptp.totalorderedP @t1) (tptp.leq @t2 @t79)))))))))
% 1.03/1.26  (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t78))))
% 1.03/1.26  (assume @p69 (tptp.strictorderedP tptp.nil))
% 1.03/1.26  (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.strictorderedP @t82) (or @t80 (and @t81 (tptp.strictorderedP @t1) (tptp.lt @t2 @t79)))))))))
% 1.03/1.26  (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t78))))
% 1.03/1.26  (assume @p72 (tptp.duplicatefreeP tptp.nil))
% 1.03/1.26  (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t78))))
% 1.03/1.26  (assume @p74 (tptp.equalelemsP tptp.nil))
% 1.03/1.26  (assume @p75 (forall @t9 (=> @t17 (=> @t62 (exists @t7 (and @t6 (= @t61 @t1)))))))
% 1.03/1.26  (assume @p76 (forall @t9 (=> @t17 (=> @t62 (exists @t7 (and @t27 (= @t63 @t1)))))))
% 1.03/1.26  (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t81 @t62 (= @t79 @t61) (= (tptp.tl @t1) @t63)) @t58))))))
% 1.03/1.26  (assume @p78 (forall @t9 (=> @t17 (=> @t62 (= (tptp.cons @t61 @t63) @t2)))))
% 1.03/1.26  (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t28 @t64) @t83))))))))
% 1.03/1.26  (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t25 @t65) @t83))))))))
% 1.03/1.26  (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t56 (tptp.app @t18 @t2)))))))
% 1.03/1.26  (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.app @t64 @t12) (tptp.app @t2 @t25)))))))))
% 1.03/1.26  (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= (= tptp.nil @t64) (and @t80 @t60)))))))
% 1.03/1.26  (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2))))
% 1.03/1.26  (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t62 (= (tptp.hd @t64) @t61)))))))
% 1.03/1.26  (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t62 (= (tptp.tl @t64) (tptp.app @t63 @t1))))))))
% 1.03/1.26  (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t68 (tptp.geq @t1 @t2)) @t3))))))
% 1.03/1.26  (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t50 (=> (and @t68 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12)))))))))
% 1.03/1.26  (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2))))
% 1.03/1.26  (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2)))))
% 1.03/1.26  (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t50 (=> (and @t67 @t51) @t71))))))))
% 1.03/1.26  (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t67 (or @t3 @t70)))))))
% 1.03/1.26  (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t70 (and @t4 @t67)))))))
% 1.03/1.26  (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t72 (not (tptp.gt @t1 @t2))))))))
% 1.03/1.26  (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t50 (=> (and @t72 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12)))))))))
% 1.03/1.26  (assume @p96 @t129)
% 1.03/1.26  (assume @p97 true)
% 1.03/1.26  (step @p98 :rule bool-impl-elim :args (@t17 @t132))
% 1.03/1.26  (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t132))))
% 1.03/1.26  (step @p100 :rule bool-and-de-morgan :args (@t6 @t130 true))
% 1.03/1.26  (step @p101 :rule cong :premises (@p100) :args (@t134))
% 1.03/1.26  (step @p102 :rule cong :premises (@p101) :args (@t135))
% 1.03/1.26  (step @p103 :rule exists-elim :args ((= (exists @t7 @t133) @t135)))
% 1.03/1.26  (step @p104 :rule trans :premises (@p103 @p102))
% 1.03/1.26  (step @p105 :rule eq-symm :args (@t18 @t2))
% 1.03/1.26  (step @p106 :rule refl :args (@t6))
% 1.03/1.26  (step @p107 :rule nary_cong :premises (@p106 @p105) :args (@t19))
% 1.03/1.26  (step @p108 :rule cong :premises (@p107) :args (@t20))
% 1.03/1.26  (step @p109 :rule trans :premises (@p108 @p104))
% 1.03/1.26  (step @p110 :rule refl :args (@t21))
% 1.03/1.26  (step @p111 :rule cong :premises (@p110 @p109) :args (@t22))
% 1.03/1.26  (step @p112 :rule refl :args (@t17))
% 1.03/1.26  (step @p113 :rule cong :premises (@p112 @p111) :args (@t23))
% 1.03/1.26  (step @p114 :rule cong :premises (@p113) :args (@t24))
% 1.03/1.26  (step @p115 :rule trans :premises (@p114 @p99))
% 1.03/1.26  (step @p116 :rule eq_resolve :premises (@p4 @p115))
% 1.03/1.26  (step @p117 :rule eq-symm :args (@t149 @t18))
% 1.03/1.26  (step @p118 :rule cong :premises (@p117) :args (@t150))
% 1.03/1.26  (step @p119 :rule refl :args (@t131))
% 1.03/1.26  (step @p120 :rule nary_cong :premises (@p119 @p118) :args (@t151))
% 1.03/1.26  (step @p121 :rule cong :premises (@p120) :args (@t152))
% 1.03/1.26  (step @p122 :rule cong :premises (@p121) :args (@t153))
% 1.03/1.26  (step @p123 :rule refl :args (@t154))
% 1.03/1.26  (step @p124 :rule cong :premises (@p123 @p122) :args (@t155))
% 1.03/1.26  (step @p125 :rule refl :args (@t157))
% 1.03/1.26  (step @p126 :rule nary_cong :premises (@p125 @p124) :args (@t158))
% 1.03/1.26  (step @p127 :rule refl :args (@t159))
% 1.03/1.26  (step @p128 :rule cong :premises (@p127 @p126) :args ((=> @t159 @t158)))
% 1.03/1.26  (assume-push @p692 @t159)
% 1.03/1.26  (step @p130 :rule instantiate :premises (@p116) :args ((@list @t149)))
% 1.03/1.26  (step-pop @p693 :rule scope :premises (@p130))
% 1.03/1.26  (step @p131 :rule process_scope :premises (@p693) :args (@t158))
% 1.03/1.26  (step @p133 :rule eq_resolve :premises (@p131 @p128))
% 1.03/1.26  (step @p134 :rule implies_elim :premises (@p133))
% 1.03/1.26  (step @p135 :rule chain_m_resolution :premises (@p134 @p116) :args (@t163 @t164 (@list @t159)))
% 1.03/1.26  (step @p136 :rule refl :args (@t136))
% 1.03/1.26  (step @p137 :rule eq-symm :args (@t137 tptp.nil))
% 1.03/1.26  (step @p138 :rule cong :premises (@p137) :args (@t165))
% 1.03/1.26  (step @p139 :rule nary_cong :premises (@p138 @p136) :args (@t166))
% 1.03/1.26  (step @p140 :rule refl :args (@t143))
% 1.03/1.26  (step @p141 :rule nary_cong :premises (@p140 @p139) :args (@t167))
% 1.03/1.26  (step @p142 :rule refl :args (@t144))
% 1.03/1.26  (step @p143 :rule refl :args (@t145))
% 1.03/1.26  (step @p144 :rule refl :args (@t146))
% 1.03/1.26  (step @p145 :rule nary_cong :premises (@p144 @p143 @p142 @p141) :args (@t168))
% 1.03/1.26  (step @p146 :rule aci_norm :args ((= @t170 @t168)))
% 1.03/1.26  (step @p147 :rule trans :premises (@p146 @p145))
% 1.03/1.26  (step @p148 :rule cong :premises (@p147) :args (@t171))
% 1.03/1.26  (step @p149 :rule quant-merge-prenex :args ((= (forall @t9 @t173) @t171)))
% 1.03/1.26  (step @p150 :rule alpha_equiv :args (@t174 (@list @t137 @t138 @t141 @t139) (@list @t1 @t177 @t176 @t175)))
% 1.03/1.26  (step @p151 :rule refl :args (@t146))
% 1.03/1.26  (step @p152 :rule nary_cong :premises (@p151 @p150) :args (@t178))
% 1.03/1.26  (step @p153 :rule quant-miniscope-or :args ((= @t173 @t178)))
% 1.03/1.26  (step @p154 :rule trans :premises (@p153 @p152))
% 1.03/1.26  (step @p155 :rule symm :premises (@p154))
% 1.03/1.26  (step @p156 :rule cong :premises (@p155) :args ((forall @t9 @t186)))
% 1.03/1.26  (step @p157 :rule trans :premises (@p156 @p149))
% 1.03/1.26  (step @p158 :rule trans :premises (@p157 @p148))
% 1.03/1.26  (step @p159 :rule aci_norm :args ((= (or @t146 @t186) @t186)))
% 1.03/1.26  (step @p160 :rule bool-impl-elim :args (@t17 @t186))
% 1.03/1.26  (step @p161 :rule trans :premises (@p160 @p159))
% 1.03/1.26  (step @p162 :rule cong :premises (@p161) :args ((forall @t9 (=> @t17 @t186))))
% 1.03/1.26  (step @p163 :rule trans :premises (@p162 @p158))
% 1.03/1.26  (step @p164 :rule quant-merge-prenex :args ((= (forall @t7 @t188) @t185)))
% 1.03/1.26  (step @p165 :rule quant-unused-vars :args ((= @t189 @t180)))
% 1.03/1.26  (step @p166 :rule alpha_equiv :args (@t190 (@list @t177 @t176 @t175) @t194))
% 1.03/1.26  (step @p167 :rule nary_cong :premises (@p166 @p165) :args (@t195))
% 1.03/1.26  (step @p168 :rule quant-miniscope-and :args ((= @t196 @t195)))
% 1.03/1.26  (step @p169 :rule trans :premises (@p168 @p167))
% 1.03/1.26  (step @p170 :rule refl :args (@t84))
% 1.03/1.26  (step @p171 :rule refl :args (@t183))
% 1.03/1.26  (step @p172 :rule nary_cong :premises (@p171 @p170 @p169) :args (@t197))
% 1.03/1.26  (step @p173 :rule quant-miniscope-or :args ((= @t188 @t197)))
% 1.03/1.26  (step @p174 :rule trans :premises (@p173 @p172))
% 1.03/1.26  (step @p175 :rule symm :premises (@p174))
% 1.03/1.26  (step @p176 :rule cong :premises (@p175) :args (@t200))
% 1.03/1.26  (step @p177 :rule trans :premises (@p176 @p164))
% 1.03/1.26  (step @p178 :rule nary_cong :premises (@p144 @p177) :args (@t201))
% 1.03/1.26  (step @p179 :rule quant-miniscope-or :args ((= (forall @t7 @t202) @t201)))
% 1.03/1.26  (step @p180 :rule aci_norm :args ((= @t203 @t202)))
% 1.03/1.26  (step @p181 :rule cong :premises (@p180) :args ((forall @t7 @t203)))
% 1.03/1.26  (step @p182 :rule trans :premises (@p181 @p179))
% 1.03/1.26  (step @p183 :rule trans :premises (@p182 @p178))
% 1.03/1.26  (step @p184 :rule aci_norm :args ((= (or @t183 @t204) @t203)))
% 1.03/1.26  (step @p185 :rule bool-impl-elim :args (@t27 @t204))
% 1.03/1.26  (step @p186 :rule trans :premises (@p185 @p184))
% 1.03/1.26  (step @p187 :rule cong :premises (@p186) :args ((forall @t7 (=> @t27 @t204))))
% 1.03/1.26  (step @p188 :rule trans :premises (@p187 @p183))
% 1.03/1.26  (step @p189 :rule aci_norm :args ((= (or @t84 @t183 (or @t146 @t198)) @t204)))
% 1.03/1.26  (step @p190 :rule quant-unused-vars :args ((= @t209 @t180)))
% 1.03/1.26  (step @p191 :rule alpha_equiv :args (@t217 @t218 @t194))
% 1.03/1.26  (step @p192 :rule nary_cong :premises (@p191 @p190) :args (@t219))
% 1.03/1.26  (step @p193 :rule quant-miniscope-and :args ((= @t221 @t219)))
% 1.03/1.26  (step @p194 :rule trans :premises (@p193 @p192))
% 1.03/1.26  (step @p195 :rule nary_cong :premises (@p144 @p194) :args (@t222))
% 1.03/1.26  (step @p196 :rule quant-miniscope-or :args ((= (forall @t208 @t223) @t222)))
% 1.03/1.26  (step @p197 :rule trans :premises (@p196 @p195))
% 1.03/1.26  (step @p198 :rule aci_norm :args ((= (or @t146 false @t220) @t223)))
% 1.03/1.26  (step @p199 :rule refl :args (@t220))
% 1.03/1.26  (step @p200 :rule evaluate :args ((not true)))
% 1.03/1.26  (step @p201 :rule eq-refl :args (@t2))
% 1.03/1.26  (step @p202 :rule cong :premises (@p201) :args (@t224))
% 1.03/1.26  (step @p203 :rule trans :premises (@p202 @p200))
% 1.03/1.26  (step @p204 :rule nary_cong :premises (@p144 @p203 @p199) :args (@t225))
% 1.03/1.26  (step @p205 :rule trans :premises (@p204 @p198))
% 1.03/1.26  (step @p206 :rule cong :premises (@p205) :args ((forall @t208 @t225)))
% 1.03/1.26  (step @p207 :rule trans :premises (@p206 @p197))
% 1.03/1.26  (step @p208 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t83) @t230 @t118 @t229)) @t225)))
% 1.03/1.26  (step @p209 :rule refl :args (@t229))
% 1.03/1.26  (step @p210 :rule refl :args (@t118))
% 1.03/1.26  (step @p211 :rule refl :args (@t230))
% 1.03/1.26  (step @p212 :rule eq-symm :args (@t2 @t12))
% 1.03/1.26  (step @p213 :rule cong :premises (@p212) :args (@t118))
% 1.03/1.26  (step @p214 :rule nary_cong :premises (@p213 @p211 @p210 @p209) :args (@t231))
% 1.03/1.26  (step @p215 :rule aci_norm :args ((= @t232 @t231)))
% 1.03/1.26  (step @p216 :rule trans :premises (@p215 @p214))
% 1.03/1.26  (step @p217 :rule cong :premises (@p216) :args (@t233))
% 1.03/1.26  (step @p218 :rule trans :premises (@p217 @p208))
% 1.03/1.26  (step @p219 :rule cong :premises (@p218) :args (@t234))
% 1.03/1.26  (step @p220 :rule quant-merge-prenex :args ((= @t234 @t235)))
% 1.03/1.26  (step @p221 :rule symm :premises (@p220))
% 1.03/1.26  (step @p222 :rule quant_var_reordering :args ((= @t236 @t235)))
% 1.03/1.26  (step @p223 :rule trans :premises (@p222 @p221 @p219))
% 1.03/1.26  (step @p224 :rule trans :premises (@p223 @p207))
% 1.03/1.26  (step @p225 :rule quant-merge-prenex :args ((= (forall @t16 @t237) @t236)))
% 1.03/1.26  (step @p226 :rule quant-unused-vars :args ((= @t238 @t227)))
% 1.03/1.26  (step @p227 :rule alpha_equiv :args (@t239 @t218 @t243))
% 1.03/1.26  (step @p228 :rule nary_cong :premises (@p227 @p226) :args (@t244))
% 1.03/1.26  (step @p229 :rule quant-miniscope-and :args ((= @t245 @t244)))
% 1.03/1.26  (step @p230 :rule trans :premises (@p229 @p228))
% 1.03/1.26  (step @p231 :rule nary_cong :premises (@p211 @p210 @p230) :args (@t246))
% 1.03/1.26  (step @p232 :rule quant-miniscope-or :args ((= @t237 @t246)))
% 1.03/1.26  (step @p233 :rule trans :premises (@p232 @p231))
% 1.03/1.26  (step @p234 :rule symm :premises (@p233))
% 1.03/1.26  (step @p235 :rule cong :premises (@p234) :args (@t249))
% 1.03/1.26  (step @p236 :rule trans :premises (@p235 @p225))
% 1.03/1.26  (step @p237 :rule trans :premises (@p236 @p224))
% 1.03/1.26  (step @p238 :rule refl :args (@t183))
% 1.03/1.26  (step @p239 :rule refl :args (@t84))
% 1.03/1.26  (step @p240 :rule nary_cong :premises (@p239 @p238 @p237) :args (@t250))
% 1.03/1.26  (step @p241 :rule trans :premises (@p240 @p189))
% 1.03/1.26  (step @p242 :rule quant-miniscope-or :args ((= (forall @t16 @t251) @t250)))
% 1.03/1.26  (step @p243 :rule aci_norm :args ((= @t252 @t251)))
% 1.03/1.26  (step @p244 :rule cong :premises (@p243) :args ((forall @t16 @t252)))
% 1.03/1.26  (step @p245 :rule trans :premises (@p244 @p242))
% 1.03/1.26  (step @p246 :rule trans :premises (@p245 @p241))
% 1.03/1.26  (step @p247 :rule aci_norm :args ((= (or @t230 @t253) @t252)))
% 1.03/1.26  (step @p248 :rule bool-impl-elim :args (@t15 @t253))
% 1.03/1.26  (step @p249 :rule trans :premises (@p248 @p247))
% 1.03/1.26  (step @p250 :rule cong :premises (@p249) :args ((forall @t16 (=> @t15 @t253))))
% 1.03/1.26  (step @p251 :rule trans :premises (@p250 @p246))
% 1.03/1.26  (step @p252 :rule aci_norm :args ((= (or @t118 @t84 (or @t183 @t247)) @t253)))
% 1.03/1.26  (step @p253 :rule quant-unused-vars :args ((= @t258 @t227)))
% 1.03/1.26  (step @p254 :rule alpha_equiv :args (@t267 @t268 @t243))
% 1.03/1.26  (step @p255 :rule nary_cong :premises (@p254 @p253) :args (@t269))
% 1.03/1.26  (step @p256 :rule quant-miniscope-and :args ((= @t271 @t269)))
% 1.03/1.26  (step @p257 :rule trans :premises (@p256 @p255))
% 1.03/1.26  (step @p258 :rule nary_cong :premises (@p238 @p257) :args (@t272))
% 1.03/1.26  (step @p259 :rule quant-miniscope-or :args ((= (forall @t257 @t273) @t272)))
% 1.03/1.26  (step @p260 :rule trans :premises (@p259 @p258))
% 1.03/1.26  (step @p261 :rule aci_norm :args ((= (or @t183 false @t270) @t273)))
% 1.03/1.26  (step @p262 :rule refl :args (@t270))
% 1.03/1.26  (step @p263 :rule eq-refl :args (@t1))
% 1.03/1.26  (step @p264 :rule cong :premises (@p263) :args (@t274))
% 1.03/1.26  (step @p265 :rule trans :premises (@p264 @p200))
% 1.03/1.26  (step @p266 :rule nary_cong :premises (@p238 @p265 @p262) :args (@t275))
% 1.03/1.26  (step @p267 :rule trans :premises (@p266 @p261))
% 1.03/1.26  (step @p268 :rule cong :premises (@p267) :args ((forall @t257 @t275)))
% 1.03/1.26  (step @p269 :rule trans :premises (@p268 @p260))
% 1.03/1.26  (step @p270 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t120 @t119 @t278)) @t275)))
% 1.03/1.26  (step @p271 :rule refl :args (@t278))
% 1.03/1.26  (step @p272 :rule refl :args (@t119))
% 1.03/1.26  (step @p273 :rule refl :args (@t120))
% 1.03/1.26  (step @p274 :rule eq-symm :args (@t1 @t10))
% 1.03/1.26  (step @p275 :rule cong :premises (@p274) :args (@t119))
% 1.03/1.26  (step @p276 :rule nary_cong :premises (@p275 @p273 @p272 @p271) :args (@t279))
% 1.03/1.26  (step @p277 :rule aci_norm :args ((= @t280 @t279)))
% 1.03/1.26  (step @p278 :rule trans :premises (@p277 @p276))
% 1.03/1.26  (step @p279 :rule cong :premises (@p278) :args (@t281))
% 1.03/1.26  (step @p280 :rule trans :premises (@p279 @p270))
% 1.03/1.26  (step @p281 :rule cong :premises (@p280) :args (@t282))
% 1.03/1.26  (step @p282 :rule quant-merge-prenex :args ((= @t282 @t283)))
% 1.03/1.26  (step @p283 :rule symm :premises (@p282))
% 1.03/1.26  (step @p284 :rule quant_var_reordering :args ((= @t284 @t283)))
% 1.03/1.26  (step @p285 :rule trans :premises (@p284 @p283 @p281))
% 1.03/1.26  (step @p286 :rule trans :premises (@p285 @p269))
% 1.03/1.26  (step @p287 :rule quant-merge-prenex :args ((= (forall @t14 @t285) @t284)))
% 1.03/1.26  (step @p288 :rule quant-unused-vars :args ((= @t286 @t276)))
% 1.03/1.26  (step @p289 :rule alpha_equiv :args (@t287 @t268 (@list @t44 @t289 @t288)))
% 1.03/1.26  (step @p290 :rule nary_cong :premises (@p289 @p288) :args (@t290))
% 1.03/1.26  (step @p291 :rule quant-miniscope-and :args ((= @t291 @t290)))
% 1.03/1.26  (step @p292 :rule trans :premises (@p291 @p290))
% 1.03/1.26  (step @p293 :rule nary_cong :premises (@p273 @p272 @p292) :args (@t292))
% 1.03/1.26  (step @p294 :rule quant-miniscope-or :args ((= @t285 @t292)))
% 1.03/1.26  (step @p295 :rule trans :premises (@p294 @p293))
% 1.03/1.26  (step @p296 :rule symm :premises (@p295))
% 1.03/1.26  (step @p297 :rule cong :premises (@p296) :args (@t306))
% 1.03/1.26  (step @p298 :rule trans :premises (@p297 @p287))
% 1.03/1.26  (step @p299 :rule trans :premises (@p298 @p286))
% 1.03/1.26  (step @p300 :rule refl :args (@t118))
% 1.03/1.26  (step @p301 :rule nary_cong :premises (@p300 @p239 @p299) :args (@t307))
% 1.03/1.26  (step @p302 :rule trans :premises (@p301 @p252))
% 1.03/1.26  (step @p303 :rule quant-miniscope-or :args ((= (forall @t14 @t308) @t307)))
% 1.03/1.26  (step @p304 :rule aci_norm :args ((= @t309 @t308)))
% 1.03/1.26  (step @p305 :rule cong :premises (@p304) :args ((forall @t14 @t309)))
% 1.03/1.26  (step @p306 :rule trans :premises (@p305 @p303))
% 1.03/1.26  (step @p307 :rule trans :premises (@p306 @p302))
% 1.03/1.26  (step @p308 :rule eq-symm :args (tptp.nil @t12))
% 1.03/1.26  (step @p309 :rule cong :premises (@p308) :args (@t85))
% 1.03/1.26  (step @p310 :rule eq-symm :args (tptp.nil @t10))
% 1.03/1.26  (step @p311 :rule cong :premises (@p310) :args (@t86))
% 1.03/1.26  (step @p312 :rule nary_cong :premises (@p311 @p309) :args (@t87))
% 1.03/1.26  (step @p313 :rule aci_norm :args ((= @t311 @t302)))
% 1.03/1.26  (step @p314 :rule cong :premises (@p313) :args (@t312))
% 1.03/1.26  (step @p315 :rule quant-merge-prenex :args ((= (forall @t49 @t314) @t312)))
% 1.03/1.26  (step @p316 :rule alpha_equiv :args (@t315 (@list @t289 @t288) (@list @t43 @t316)))
% 1.03/1.26  (step @p317 :rule refl :args (@t300))
% 1.03/1.26  (step @p318 :rule refl :args (@t301))
% 1.03/1.26  (step @p319 :rule nary_cong :premises (@p318 @p317 @p316) :args (@t317))
% 1.03/1.26  (step @p320 :rule quant-miniscope-or :args ((= @t314 @t317)))
% 1.03/1.26  (step @p321 :rule trans :premises (@p320 @p319))
% 1.03/1.26  (step @p322 :rule symm :premises (@p321))
% 1.03/1.26  (step @p323 :rule cong :premises (@p322) :args ((forall @t49 @t328)))
% 1.03/1.26  (step @p324 :rule trans :premises (@p323 @p315))
% 1.03/1.26  (step @p325 :rule trans :premises (@p324 @p314))
% 1.03/1.26  (step @p326 :rule aci_norm :args ((= (or @t301 @t329) @t328)))
% 1.03/1.26  (step @p327 :rule bool-impl-elim :args (@t114 @t329))
% 1.03/1.26  (step @p328 :rule trans :premises (@p327 @p326))
% 1.03/1.26  (step @p329 :rule cong :premises (@p328) :args ((forall @t49 (=> @t114 @t329))))
% 1.03/1.26  (step @p330 :rule trans :premises (@p329 @p325))
% 1.03/1.26  (step @p331 :rule aci_norm :args ((= @t331 @t325)))
% 1.03/1.26  (step @p332 :rule cong :premises (@p331) :args (@t332))
% 1.03/1.26  (step @p333 :rule quant-merge-prenex :args ((= (forall @t47 @t334) @t332)))
% 1.03/1.26  (step @p334 :rule alpha_equiv :args (@t335 (@list @t316) (@list @t90)))
% 1.03/1.26  (step @p335 :rule refl :args (@t323))
% 1.03/1.26  (step @p336 :rule refl :args (@t324))
% 1.03/1.26  (step @p337 :rule nary_cong :premises (@p336 @p335 @p334) :args (@t336))
% 1.03/1.26  (step @p338 :rule quant-miniscope-or :args ((= @t334 @t336)))
% 1.03/1.26  (step @p339 :rule trans :premises (@p338 @p337))
% 1.03/1.26  (step @p340 :rule symm :premises (@p339))
% 1.03/1.26  (step @p341 :rule cong :premises (@p340) :args (@t344))
% 1.03/1.26  (step @p342 :rule trans :premises (@p341 @p333))
% 1.03/1.26  (step @p343 :rule trans :premises (@p342 @p332))
% 1.03/1.26  (step @p344 :rule refl :args (@t300))
% 1.03/1.26  (step @p345 :rule nary_cong :premises (@p344 @p343) :args (@t345))
% 1.03/1.26  (step @p346 :rule quant-miniscope-or :args ((= (forall @t47 @t346) @t345)))
% 1.03/1.26  (step @p347 :rule aci_norm :args ((= @t347 @t346)))
% 1.03/1.26  (step @p348 :rule cong :premises (@p347) :args ((forall @t47 @t347)))
% 1.03/1.26  (step @p349 :rule trans :premises (@p348 @p346))
% 1.03/1.26  (step @p350 :rule trans :premises (@p349 @p345))
% 1.03/1.26  (step @p351 :rule aci_norm :args ((= (or @t324 @t348) @t347)))
% 1.03/1.26  (step @p352 :rule bool-impl-elim :args (@t46 @t348))
% 1.03/1.26  (step @p353 :rule trans :premises (@p352 @p351))
% 1.03/1.26  (step @p354 :rule cong :premises (@p353) :args ((forall @t47 (=> @t46 @t348))))
% 1.03/1.26  (step @p355 :rule trans :premises (@p354 @p350))
% 1.03/1.26  (step @p356 :rule quant-miniscope-or :args ((= (forall @t110 @t349) @t348)))
% 1.03/1.26  (step @p357 :rule aci_norm :args ((= @t350 @t349)))
% 1.03/1.26  (step @p358 :rule cong :premises (@p357) :args ((forall @t110 @t350)))
% 1.03/1.26  (step @p359 :rule trans :premises (@p358 @p356))
% 1.03/1.26  (step @p360 :rule aci_norm :args ((= (or @t140 (or @t337 @t293)) @t338)))
% 1.03/1.26  (step @p361 :rule bool-and-de-morgan :args (@t91 @t89 true))
% 1.03/1.26  (step @p362 :rule refl :args (@t140))
% 1.03/1.26  (step @p363 :rule nary_cong :premises (@p362 @p361) :args ((or @t140 (not (and @t91 @t89)))))
% 1.03/1.26  (step @p364 :rule bool-and-de-morgan :args (@t92 @t91 (and @t89)))
% 1.03/1.26  (step @p365 :rule trans :premises (@p364 @p363))
% 1.03/1.26  (step @p366 :rule trans :premises (@p365 @p360))
% 1.03/1.26  (step @p367 :rule cong :premises (@p366) :args (@t351))
% 1.03/1.26  (step @p368 :rule cong :premises (@p367) :args (@t352))
% 1.03/1.26  (step @p369 :rule exists-elim :args ((= @t95 @t352)))
% 1.03/1.26  (step @p370 :rule trans :premises (@p369 @p368))
% 1.03/1.26  (step @p371 :rule aci_norm :args ((= (or @t142 (or @t321 @t297)) @t322)))
% 1.03/1.26  (step @p372 :rule bool-and-de-morgan :args (@t98 @t97 true))
% 1.03/1.26  (step @p373 :rule refl :args (@t142))
% 1.03/1.26  (step @p374 :rule nary_cong :premises (@p373 @p372) :args ((or @t142 (not (and @t98 @t97)))))
% 1.03/1.26  (step @p375 :rule bool-and-de-morgan :args (@t99 @t98 (and @t97)))
% 1.03/1.26  (step @p376 :rule trans :premises (@p375 @p374))
% 1.03/1.26  (step @p377 :rule trans :premises (@p376 @p371))
% 1.03/1.26  (step @p378 :rule cong :premises (@p377) :args (@t353))
% 1.03/1.26  (step @p379 :rule cong :premises (@p378) :args (@t354))
% 1.03/1.26  (step @p380 :rule exists-elim :args ((= @t102 @t354)))
% 1.03/1.26  (step @p381 :rule trans :premises (@p380 @p379))
% 1.03/1.26  (step @p382 :rule eq-symm :args (@t104 @t10))
% 1.03/1.26  (step @p383 :rule cong :premises (@p382) :args (@t105))
% 1.03/1.26  (step @p384 :rule eq-symm :args (@t106 @t12))
% 1.03/1.26  (step @p385 :rule cong :premises (@p384) :args (@t107))
% 1.03/1.26  (step @p386 :rule refl :args (@t108))
% 1.03/1.26  (step @p387 :rule nary_cong :premises (@p386 @p385 @p383 @p381 @p370) :args (@t109))
% 1.03/1.26  (step @p388 :rule cong :premises (@p387) :args (@t111))
% 1.03/1.26  (step @p389 :rule trans :premises (@p388 @p359))
% 1.03/1.26  (step @p390 :rule refl :args (@t46))
% 1.03/1.26  (step @p391 :rule cong :premises (@p390 @p389) :args (@t112))
% 1.03/1.26  (step @p392 :rule cong :premises (@p391) :args (@t113))
% 1.03/1.26  (step @p393 :rule trans :premises (@p392 @p355))
% 1.03/1.26  (step @p394 :rule refl :args (@t114))
% 1.03/1.26  (step @p395 :rule cong :premises (@p394 @p393) :args (@t115))
% 1.03/1.26  (step @p396 :rule cong :premises (@p395) :args (@t116))
% 1.03/1.26  (step @p397 :rule trans :premises (@p396 @p330))
% 1.03/1.26  (step @p398 :rule nary_cong :premises (@p397 @p312) :args (@t117))
% 1.03/1.26  (step @p399 :rule refl :args (@t119))
% 1.03/1.26  (step @p400 :rule refl :args (@t120))
% 1.03/1.26  (step @p401 :rule nary_cong :premises (@p400 @p399 @p300 @p398 @p239) :args (@t121))
% 1.03/1.26  (step @p402 :rule cong :premises (@p401) :args (@t122))
% 1.03/1.26  (step @p403 :rule trans :premises (@p402 @p307))
% 1.03/1.26  (step @p404 :rule refl :args (@t15))
% 1.03/1.26  (step @p405 :rule cong :premises (@p404 @p403) :args (@t123))
% 1.03/1.26  (step @p406 :rule cong :premises (@p405) :args (@t124))
% 1.03/1.26  (step @p407 :rule trans :premises (@p406 @p251))
% 1.03/1.26  (step @p408 :rule refl :args (@t27))
% 1.03/1.26  (step @p409 :rule cong :premises (@p408 @p407) :args (@t125))
% 1.03/1.26  (step @p410 :rule cong :premises (@p409) :args (@t126))
% 1.03/1.26  (step @p411 :rule trans :premises (@p410 @p188))
% 1.03/1.26  (step @p412 :rule cong :premises (@p112 @p411) :args (@t127))
% 1.03/1.26  (step @p413 :rule cong :premises (@p412) :args (@t128))
% 1.03/1.26  (step @p414 :rule trans :premises (@p413 @p163))
% 1.03/1.26  (step @p415 :rule cong :premises (@p414) :args (@t129))
% 1.03/1.26  (step @p416 :rule eq_resolve :premises (@p96 @p415))
% 1.03/1.26  (step @p417 :rule refl :args (@t385))
% 1.03/1.26  (step @p418 :rule bool-double-not-elim :args (@t148))
% 1.03/1.26  (step @p419 :rule nary_cong :premises (@p418 @p417) :args ((or (not @t386) @t385)))
% 1.03/1.26  (step @p420 :rule eq-symm :args (@t149 tptp.nil))
% 1.03/1.26  (step @p421 :rule cong :premises (@p420) :args (@t387))
% 1.03/1.26  (step @p422 :rule refl :args (@t359))
% 1.03/1.26  (step @p423 :rule nary_cong :premises (@p422 @p421) :args (@t388))
% 1.03/1.26  (step @p424 :rule refl :args (@t375))
% 1.03/1.26  (step @p425 :rule nary_cong :premises (@p424 @p423) :args (@t389))
% 1.03/1.26  (step @p426 :rule refl :args (@t381))
% 1.03/1.26  (step @p427 :rule refl :args (@t383))
% 1.03/1.26  (step @p428 :rule nary_cong :premises (@p125 @p427 @p426 @p425) :args (@t390))
% 1.03/1.26  (step @p429 :rule cong :premises (@p428) :args (@t391))
% 1.03/1.26  (step @p430 :rule refl :args (@t386))
% 1.03/1.26  (step @p431 :rule cong :premises (@p430 @p429) :args ((=> @t386 @t391)))
% 1.03/1.26  (assume-push @p694 @t386)
% 1.03/1.26  (step @p433 :rule skolemize :premises (@p416))
% 1.03/1.26  (step-pop @p695 :rule scope :premises (@p433))
% 1.03/1.26  (step @p434 :rule process_scope :premises (@p695) :args (@t391))
% 1.03/1.26  (step @p436 :rule eq_resolve :premises (@p434 @p431))
% 1.03/1.26  (step @p437 :rule implies_elim :premises (@p436))
% 1.03/1.26  (step @p438 :rule eq_resolve :premises (@p437 @p419))
% 1.03/1.26  (step @p439 :rule chain_m_resolution :premises (@p438 @p416) :args (@t385 @t392 (@list @t148)))
% 1.03/1.26  (step @p440 :rule bool-double-not-elim :args (@t156))
% 1.03/1.26  (step @p441 :rule refl :args (@t384))
% 1.03/1.26  (step @p442 :rule nary_cong :premises (@p441 @p440) :args ((or @t384 (not @t157))))
% 1.03/1.26  (step @p443 :rule cnf_or_neg :args (@t384 0))
% 1.03/1.26  (step @p444 :rule eq_resolve :premises (@p443 @p442))
% 1.03/1.26  (step @p445 :rule reordering :premises (@p444) :args ((or @t156 @t384)))
% 1.03/1.26  (step @p446 :rule chain_m_resolution :premises (@p445 @p439) :args (@t156 @t392 @t393))
% 1.03/1.26  (step @p447 :rule cnf_or_pos :args (@t163))
% 1.03/1.26  (step @p448 :rule reordering :premises (@p447) :args ((or @t157 @t162 (not @t163))))
% 1.03/1.26  (step @p449 :rule chain_m_resolution :premises (@p448 @p446 @p135) :args (@t162 @t394 (@list @t156 @t163)))
% 1.03/1.26  (step @p450 :rule aci_norm :args ((= @t402 (or @t146 @t400 @t399))))
% 1.03/1.26  (step @p451 :rule cong :premises (@p450) :args (@t403))
% 1.03/1.26  (step @p452 :rule quant-merge-prenex :args ((= (forall @t9 @t405) @t403)))
% 1.03/1.26  (step @p453 :rule alpha_equiv :args (@t406 (@list @t396) @t407))
% 1.03/1.26  (step @p454 :rule nary_cong :premises (@p151 @p453) :args (@t408))
% 1.03/1.26  (step @p455 :rule quant-miniscope-or :args ((= @t405 @t408)))
% 1.03/1.26  (step @p456 :rule trans :premises (@p455 @p454))
% 1.03/1.26  (step @p457 :rule symm :premises (@p456))
% 1.03/1.26  (step @p458 :rule cong :premises (@p457) :args ((forall @t9 (or @t146 @t412))))
% 1.03/1.26  (step @p459 :rule trans :premises (@p458 @p452))
% 1.03/1.26  (step @p460 :rule trans :premises (@p459 @p451))
% 1.03/1.26  (step @p461 :rule bool-impl-elim :args (@t17 @t412))
% 1.03/1.26  (step @p462 :rule cong :premises (@p461) :args ((forall @t9 (=> @t17 @t412))))
% 1.03/1.26  (step @p463 :rule trans :premises (@p462 @p460))
% 1.03/1.26  (step @p464 :rule bool-impl-elim :args (@t27 @t411))
% 1.03/1.26  (step @p465 :rule cong :premises (@p464) :args ((forall @t7 (=> @t27 @t411))))
% 1.03/1.26  (step @p466 :rule aci_norm :args ((= @t414 @t410)))
% 1.03/1.26  (step @p467 :rule cong :premises (@p466) :args (@t415))
% 1.03/1.26  (step @p468 :rule quant-merge-prenex :args ((= (forall @t16 @t417) @t415)))
% 1.03/1.26  (step @p469 :rule alpha_equiv :args (@t418 (@list @t395) (@list @t10)))
% 1.03/1.26  (step @p470 :rule nary_cong :premises (@p211 @p469) :args (@t419))
% 1.03/1.26  (step @p471 :rule quant-miniscope-or :args ((= @t417 @t419)))
% 1.03/1.26  (step @p472 :rule trans :premises (@p471 @p470))
% 1.03/1.26  (step @p473 :rule symm :premises (@p472))
% 1.03/1.26  (step @p474 :rule cong :premises (@p473) :args ((forall @t16 (or @t230 @t421))))
% 1.03/1.26  (step @p475 :rule trans :premises (@p474 @p468))
% 1.03/1.26  (step @p476 :rule trans :premises (@p475 @p467))
% 1.03/1.26  (step @p477 :rule bool-double-not-elim :args (@t421))
% 1.03/1.26  (step @p478 :rule nary_cong :premises (@p211 @p477) :args ((or @t230 (not @t422))))
% 1.03/1.26  (step @p479 :rule bool-and-de-morgan :args (@t15 @t422 true))
% 1.03/1.26  (step @p480 :rule trans :premises (@p479 @p478))
% 1.03/1.26  (step @p481 :rule cong :premises (@p480) :args (@t424))
% 1.03/1.26  (step @p482 :rule trans :premises (@p481 @p476))
% 1.03/1.26  (step @p483 :rule cong :premises (@p482) :args (@t425))
% 1.03/1.26  (step @p484 :rule exists-elim :args ((= (exists @t16 @t423) @t425)))
% 1.03/1.26  (step @p485 :rule trans :premises (@p484 @p483))
% 1.03/1.26  (step @p486 :rule bool-and-de-morgan :args (@t13 @t420 true))
% 1.03/1.26  (step @p487 :rule cong :premises (@p486) :args (@t427))
% 1.03/1.26  (step @p488 :rule cong :premises (@p487) :args (@t428))
% 1.03/1.26  (step @p489 :rule exists-elim :args ((= (exists @t14 @t426) @t428)))
% 1.03/1.26  (step @p490 :rule trans :premises (@p489 @p488))
% 1.03/1.26  (step @p491 :rule eq-symm :args (@t30 @t2))
% 1.03/1.26  (step @p492 :rule refl :args (@t13))
% 1.03/1.26  (step @p493 :rule nary_cong :premises (@p492 @p491) :args (@t31))
% 1.03/1.26  (step @p494 :rule cong :premises (@p493) :args (@t32))
% 1.03/1.26  (step @p495 :rule trans :premises (@p494 @p490))
% 1.03/1.26  (step @p496 :rule nary_cong :premises (@p404 @p495) :args (@t33))
% 1.03/1.26  (step @p497 :rule cong :premises (@p496) :args (@t34))
% 1.03/1.26  (step @p498 :rule trans :premises (@p497 @p485))
% 1.03/1.26  (step @p499 :rule refl :args (@t35))
% 1.03/1.26  (step @p500 :rule cong :premises (@p499 @p498) :args (@t36))
% 1.03/1.26  (step @p501 :rule cong :premises (@p408 @p500) :args (@t37))
% 1.03/1.26  (step @p502 :rule cong :premises (@p501) :args (@t38))
% 1.03/1.26  (step @p503 :rule trans :premises (@p502 @p465))
% 1.03/1.26  (step @p504 :rule cong :premises (@p112 @p503) :args (@t39))
% 1.03/1.26  (step @p505 :rule cong :premises (@p504) :args (@t40))
% 1.03/1.26  (step @p506 :rule trans :premises (@p505 @p463))
% 1.03/1.26  (step @p507 :rule eq_resolve :premises (@p7 @p506))
% 1.03/1.26  (step @p508 :rule instantiate :premises (@p507) :args ((@list @t357 @t149)))
% 1.03/1.26  (step @p509 :rule bool-double-not-elim :args (@t382))
% 1.03/1.26  (step @p510 :rule nary_cong :premises (@p441 @p509) :args ((or @t384 (not @t383))))
% 1.03/1.26  (step @p511 :rule cnf_or_neg :args (@t384 1))
% 1.03/1.26  (step @p512 :rule eq_resolve :premises (@p511 @p510))
% 1.03/1.26  (step @p513 :rule reordering :premises (@p512) :args ((or @t382 @t384)))
% 1.03/1.26  (step @p514 :rule chain_m_resolution :premises (@p513 @p439) :args (@t382 @t392 @t393))
% 1.03/1.26  (step @p515 :rule cnf_or_pos :args (@t432))
% 1.03/1.26  (step @p516 :rule reordering :premises (@p515) :args ((or @t157 @t383 @t431 (not @t432))))
% 1.03/1.26  (step @p517 :rule chain_m_resolution :premises (@p516 @p446 @p514 @p508) :args (@t431 @t433 (@list @t156 @t382 @t432)))
% 1.03/1.26  (step @p518 :rule bool-double-not-elim :args (@t358))
% 1.03/1.26  (step @p519 :rule refl :args (@t360))
% 1.03/1.26  (step @p520 :rule nary_cong :premises (@p519 @p518) :args ((or @t360 (not @t359))))
% 1.03/1.26  (step @p521 :rule cnf_or_neg :args (@t360 0))
% 1.03/1.26  (step @p522 :rule eq_resolve :premises (@p521 @p520))
% 1.03/1.26  (step @p523 :rule reordering :premises (@p522) :args ((or @t358 @t360)))
% 1.03/1.26  (step @p524 :rule bool-double-not-elim :args (@t355))
% 1.03/1.26  (step @p525 :rule nary_cong :premises (@p519 @p524) :args ((or @t360 (not @t356))))
% 1.03/1.26  (step @p526 :rule cnf_or_neg :args (@t360 1))
% 1.03/1.26  (step @p527 :rule eq_resolve :premises (@p526 @p525))
% 1.03/1.26  (step @p528 :rule reordering :premises (@p527) :args ((or @t355 @t360)))
% 1.03/1.26  (step @p529 :rule aci_norm :args ((= @t439 @t437)))
% 1.03/1.26  (step @p530 :rule cong :premises (@p529) :args (@t441))
% 1.03/1.26  (step @p531 :rule quant-merge-prenex :args ((= (forall @t9 @t443) @t441)))
% 1.03/1.26  (step @p532 :rule alpha_equiv :args (@t444 (@list @t434) @t407))
% 1.03/1.26  (step @p533 :rule nary_cong :premises (@p151 @p532) :args (@t445))
% 1.03/1.26  (step @p534 :rule quant-miniscope-or :args ((= @t443 @t445)))
% 1.03/1.26  (step @p535 :rule trans :premises (@p534 @p533))
% 1.03/1.26  (step @p536 :rule symm :premises (@p535))
% 1.03/1.26  (step @p537 :rule cong :premises (@p536) :args ((forall @t9 (or @t146 @t446))))
% 1.03/1.26  (step @p538 :rule trans :premises (@p537 @p531))
% 1.03/1.26  (step @p539 :rule trans :premises (@p538 @p530))
% 1.03/1.26  (step @p540 :rule bool-impl-elim :args (@t17 @t446))
% 1.03/1.26  (step @p541 :rule cong :premises (@p540) :args ((forall @t9 (=> @t17 @t446))))
% 1.03/1.26  (step @p542 :rule trans :premises (@p541 @p539))
% 1.03/1.26  (step @p543 :rule bool-impl-elim :args (@t27 @t5))
% 1.03/1.26  (step @p544 :rule cong :premises (@p543) :args (@t53))
% 1.03/1.26  (step @p545 :rule cong :premises (@p112 @p544) :args (@t54))
% 1.03/1.26  (step @p546 :rule cong :premises (@p545) :args (@t55))
% 1.03/1.26  (step @p547 :rule trans :premises (@p546 @p542))
% 1.03/1.26  (step @p548 :rule eq_resolve :premises (@p15 @p547))
% 1.03/1.26  (step @p549 :rule eq-symm :args (@t357 tptp.nil))
% 1.03/1.26  (step @p550 :rule cong :premises (@p549) :args (@t447))
% 1.03/1.26  (step @p551 :rule refl :args (@t377))
% 1.03/1.26  (step @p552 :rule cong :premises (@p551 @p550) :args (@t448))
% 1.03/1.26  (step @p553 :rule refl :args (@t449))
% 1.03/1.26  (step @p554 :rule nary_cong :premises (@p427 @p553 @p552) :args (@t450))
% 1.03/1.26  (step @p555 :rule refl :args (@t451))
% 1.03/1.26  (step @p556 :rule cong :premises (@p555 @p554) :args ((=> @t451 @t450)))
% 1.03/1.26  (assume-push @p696 @t451)
% 1.03/1.26  (step @p558 :rule instantiate :premises (@p548) :args ((@list @t357 tptp.nil)))
% 1.03/1.26  (step-pop @p697 :rule scope :premises (@p558))
% 1.03/1.26  (step @p559 :rule process_scope :premises (@p697) :args (@t450))
% 1.03/1.26  (step @p561 :rule eq_resolve :premises (@p559 @p556))
% 1.03/1.26  (step @p562 :rule implies_elim :premises (@p561))
% 1.03/1.26  (step @p563 :rule chain_m_resolution :premises (@p562 @p548) :args (@t453 @t164 (@list @t451)))
% 1.03/1.26  (step @p564 :rule cnf_or_pos :args (@t453))
% 1.03/1.26  (step @p565 :rule reordering :premises (@p564) :args ((or @t449 @t383 @t452 (not @t453))))
% 1.03/1.26  (step @p566 :rule chain_m_resolution :premises (@p565 @p17 @p514 @p563) :args (@t452 @t433 (@list @t57 @t382 @t453)))
% 1.03/1.26  (step @p567 :rule cnf_equiv_pos1 :args (@t452))
% 1.03/1.26  (step @p568 :rule reordering :premises (@p567) :args ((or @t378 @t359 (not @t452))))
% 1.03/1.26  (step @p569 :rule bool-double-not-elim :args (@t377))
% 1.03/1.26  (step @p570 :rule refl :args (@t379))
% 1.03/1.26  (step @p571 :rule nary_cong :premises (@p570 @p569) :args ((or @t379 (not @t378))))
% 1.03/1.26  (step @p572 :rule cnf_or_neg :args (@t379 0))
% 1.03/1.26  (step @p573 :rule eq_resolve :premises (@p572 @p571))
% 1.03/1.26  (step @p574 :rule reordering :premises (@p573) :args ((or @t377 @t379)))
% 1.03/1.26  (step @p575 :rule cnf_or_neg :args (@t384 2))
% 1.03/1.26  (step @p576 :rule chain_m_resolution :premises (@p575 @p439) :args ((not @t381) @t392 @t393))
% 1.03/1.26  (step @p577 :rule cnf_and_neg :args (@t381))
% 1.03/1.26  (step @p578 :rule bool-impl-elim :args (@t17 @t76))
% 1.03/1.26  (step @p579 :rule cong :premises (@p578) :args (@t77))
% 1.03/1.26  (step @p580 :rule eq_resolve :premises (@p55 @p579))
% 1.03/1.26  (step @p581 :rule instantiate :premises (@p580) :args ((@list tptp.nil)))
% 1.03/1.26  (step @p582 :rule cnf_or_pos :args (@t455))
% 1.03/1.26  (step @p583 :rule reordering :premises (@p582) :args ((or @t449 @t454 (not @t455))))
% 1.03/1.26  (step @p584 :rule chain_m_resolution :premises (@p583 @p17 @p581) :args (@t454 @t394 (@list @t57 @t455)))
% 1.03/1.26  (assume-push @p698 @t358)
% 1.03/1.26  (assume-push @p699 @t355)
% 1.03/1.26  (assume-push @p700 @t454)
% 1.03/1.26  (assume-push @p701 @t454)
% 1.03/1.26  (assume-push @p702 @t355)
% 1.03/1.26  (assume-push @p703 @t358)
% 1.03/1.26  (step @p591 :rule true_intro :premises (@p584))
% 1.03/1.26  (step @p592 :rule symm :premises (@p699))
% 1.03/1.26  (step @p593 :rule refl :args (tptp.nil))
% 1.03/1.26  (step @p594 :rule cong :premises (@p593 @p592) :args ((tptp.segmentP tptp.nil @t149)))
% 1.03/1.26  (step @p595 :rule refl :args (@t149))
% 1.03/1.26  (step @p596 :rule symm :premises (@p698))
% 1.03/1.26  (step @p597 :rule cong :premises (@p596 @p595) :args (@t380))
% 1.03/1.26  (step @p598 :rule trans :premises (@p597 @p594 @p591))
% 1.03/1.26  (step @p599 :rule true_elim :premises (@p598))
% 1.03/1.26  (step-pop @p704 :rule scope :premises (@p599))
% 1.03/1.26  (step-pop @p705 :rule scope :premises (@p704))
% 1.03/1.26  (step-pop @p706 :rule scope :premises (@p705))
% 1.03/1.26  (step @p600 :rule process_scope :premises (@p706) :args (@t380))
% 1.03/1.26  (step @p604 :rule and_intro :premises (@p584 @p699 @p698))
% 1.03/1.26  (step @p605 :rule modus_ponens :premises (@p604 @p600))
% 1.03/1.26  (step-pop @p707 :rule scope :premises (@p605))
% 1.03/1.26  (step-pop @p708 :rule scope :premises (@p707))
% 1.03/1.26  (step-pop @p709 :rule scope :premises (@p708))
% 1.03/1.26  (step @p606 :rule process_scope :premises (@p709) :args (@t380))
% 1.03/1.26  (step @p610 :rule implies_elim :premises (@p606))
% 1.03/1.26  (step @p611 :rule cnf_and_neg :args (@t456))
% 1.03/1.26  (step @p612 :rule resolution :premises (@p611 @p610) :args (true @t456))
% 1.03/1.26  (step @p613 :rule reordering :premises (@p612) :args ((or @t380 @t359 @t356 (not @t454))))
% 1.03/1.26  (step @p614 :rule chain_m_resolution :premises (@p613 @p584 @p577 @p576 @p574 @p568 @p566 @p528 @p523) :args (@t360 (@list false true true false true false false false) (@list @t454 @t380 @t381 @t379 @t377 @t452 @t355 @t358)))
% 1.03/1.26  (step @p615 :rule cnf_or_neg :args (@t384 3))
% 1.03/1.26  (step @p616 :rule chain_m_resolution :premises (@p615 @p439) :args ((not @t376) @t392 @t393))
% 1.03/1.26  (step @p617 :rule cnf_and_neg :args (@t376))
% 1.03/1.26  (step @p618 :rule chain_m_resolution :premises (@p617 @p616 @p614) :args ((not @t375) @t457 (@list @t376 @t360)))
% 1.03/1.26  (step @p619 :rule bool-double-not-elim :args (@t364))
% 1.03/1.26  (step @p620 :rule nary_cong :premises (@p424 @p619) :args ((or @t375 (not @t365))))
% 1.03/1.26  (step @p621 :rule cnf_or_neg :args (@t375 5))
% 1.03/1.26  (step @p622 :rule eq_resolve :premises (@p621 @p620))
% 1.03/1.26  (step @p623 :rule reordering :premises (@p622) :args ((or @t364 @t375)))
% 1.03/1.26  (step @p624 :rule chain_m_resolution :premises (@p623 @p618) :args (@t364 @t392 @t458))
% 1.03/1.26  (step @p625 :rule bool-double-not-elim :args (@t366))
% 1.03/1.26  (step @p626 :rule nary_cong :premises (@p424 @p625) :args ((or @t375 (not @t367))))
% 1.03/1.26  (step @p627 :rule cnf_or_neg :args (@t375 4))
% 1.03/1.26  (step @p628 :rule eq_resolve :premises (@p627 @p626))
% 1.03/1.26  (step @p629 :rule reordering :premises (@p628) :args ((or @t366 @t375)))
% 1.03/1.26  (step @p630 :rule chain_m_resolution :premises (@p629 @p618) :args (@t366 @t392 @t458))
% 1.03/1.26  (step @p631 :rule bool-double-not-elim :args (@t368))
% 1.03/1.26  (step @p632 :rule nary_cong :premises (@p424 @p631) :args ((or @t375 (not @t369))))
% 1.03/1.26  (step @p633 :rule cnf_or_neg :args (@t375 2))
% 1.03/1.26  (step @p634 :rule eq_resolve :premises (@p633 @p632))
% 1.03/1.26  (step @p635 :rule reordering :premises (@p634) :args ((or @t368 @t375)))
% 1.03/1.26  (step @p636 :rule chain_m_resolution :premises (@p635 @p618) :args (@t368 @t392 @t458))
% 1.03/1.26  (step @p637 :rule cnf_or_pos :args (@t459))
% 1.03/1.26  (step @p638 :rule reordering :premises (@p637) :args ((or @t369 @t367 @t365 @t460)))
% 1.03/1.26  (step @p639 :rule chain_m_resolution :premises (@p638 @p636 @p630 @p624) :args (@t460 @t433 (@list @t368 @t366 @t364)))
% 1.03/1.26  (assume-push @p710 @t429)
% 1.03/1.26  (step @p641 :rule instantiate :premises (@p710) :args ((@list @t363 @t362)))
% 1.03/1.26  (step-pop @p711 :rule scope :premises (@p641))
% 1.03/1.26  (step @p642 :rule process_scope :premises (@p711) :args (@t459))
% 1.03/1.26  (step @p644 :rule implies_elim :premises (@p642))
% 1.03/1.26  (step @p645 :rule chain_m_resolution :premises (@p644 @p639) :args (@t430 @t392 (@list @t459)))
% 1.03/1.26  (step @p646 :rule bool-double-not-elim :args (@t429))
% 1.03/1.26  (step @p647 :rule refl :args (@t380))
% 1.03/1.26  (step @p648 :rule refl :args (@t461))
% 1.03/1.26  (step @p649 :rule nary_cong :premises (@p648 @p647 @p646) :args ((or @t461 @t380 (not @t430))))
% 1.03/1.26  (step @p650 :rule cnf_equiv_pos2 :args (@t431))
% 1.03/1.26  (step @p651 :rule eq_resolve :premises (@p650 @p649))
% 1.03/1.26  (step @p652 :rule reordering :premises (@p651) :args ((or @t380 @t429 @t461)))
% 1.03/1.26  (step @p653 :rule chain_m_resolution :premises (@p652 @p645 @p517) :args (@t380 @t457 (@list @t429 @t431)))
% 1.03/1.26  (step @p654 :rule chain_m_resolution :premises (@p577 @p576 @p653) :args ((not @t379) @t457 (@list @t381 @t380)))
% 1.03/1.26  (step @p655 :rule cnf_or_neg :args (@t379 1))
% 1.03/1.26  (step @p656 :rule chain_m_resolution :premises (@p655 @p654) :args ((not @t154) @t392 (@list @t379)))
% 1.03/1.26  (step @p657 :rule bool-double-not-elim :args (@t160))
% 1.03/1.26  (step @p658 :rule refl :args (@t462))
% 1.03/1.26  (step @p659 :rule nary_cong :premises (@p658 @p123 @p657) :args ((or @t462 @t154 (not @t161))))
% 1.03/1.26  (step @p660 :rule cnf_equiv_pos2 :args (@t162))
% 1.03/1.26  (step @p661 :rule eq_resolve :premises (@p660 @p659))
% 1.03/1.26  (step @p662 :rule reordering :premises (@p661) :args ((or @t154 @t160 @t462)))
% 1.03/1.26  (step @p663 :rule chain_m_resolution :premises (@p662 @p656 @p449) :args (@t160 @t457 (@list @t154 @t162)))
% 1.03/1.26  (step @p664 :rule bool-double-not-elim :args (@t371))
% 1.03/1.26  (step @p665 :rule nary_cong :premises (@p424 @p664) :args ((or @t375 (not @t372))))
% 1.03/1.26  (step @p666 :rule cnf_or_neg :args (@t375 1))
% 1.03/1.26  (step @p667 :rule eq_resolve :premises (@p666 @p665))
% 1.03/1.26  (step @p668 :rule reordering :premises (@p667) :args ((or @t371 @t375)))
% 1.03/1.26  (step @p669 :rule chain_m_resolution :premises (@p668 @p618) :args (@t371 @t392 @t458))
% 1.03/1.26  (step @p670 :rule bool-double-not-elim :args (@t373))
% 1.03/1.26  (step @p671 :rule nary_cong :premises (@p424 @p670) :args ((or @t375 (not @t374))))
% 1.03/1.26  (step @p672 :rule cnf_or_neg :args (@t375 0))
% 1.03/1.26  (step @p673 :rule eq_resolve :premises (@p672 @p671))
% 1.03/1.26  (step @p674 :rule reordering :premises (@p673) :args ((or @t373 @t375)))
% 1.03/1.26  (step @p675 :rule chain_m_resolution :premises (@p674 @p618) :args (@t373 @t392 @t458))
% 1.03/1.26  (step @p676 :rule cnf_or_pos :args (@t463))
% 1.03/1.26  (step @p677 :rule reordering :premises (@p676) :args ((or @t374 @t372 @t464)))
% 1.03/1.26  (step @p678 :rule chain_m_resolution :premises (@p677 @p675 @p669) :args (@t464 @t394 (@list @t373 @t371)))
% 1.03/1.26  (step @p679 :rule eq-symm :args (@t370 @t149))
% 1.03/1.26  (step @p680 :rule cong :premises (@p679) :args (@t465))
% 1.03/1.26  (step @p681 :rule refl :args (@t374))
% 1.03/1.26  (step @p682 :rule nary_cong :premises (@p681 @p680) :args (@t466))
% 1.03/1.26  (step @p683 :rule refl :args (@t160))
% 1.03/1.26  (step @p684 :rule cong :premises (@p683 @p682) :args ((=> @t160 @t466)))
% 1.03/1.26  (assume-push @p712 @t160)
% 1.03/1.26  (step @p686 :rule instantiate :premises (@p712) :args ((@list @t361)))
% 1.03/1.26  (step-pop @p713 :rule scope :premises (@p686))
% 1.03/1.26  (step @p687 :rule process_scope :premises (@p713) :args (@t466))
% 1.03/1.26  (step @p689 :rule eq_resolve :premises (@p687 @p684))
% 1.03/1.26  (step @p690 :rule implies_elim :premises (@p689))
% 1.03/1.26  (step @p691 false :rule chain_m_resolution :premises (@p690 @p678 @p663) :args (false @t457 (@list @t463 @t160)))
% 1.03/1.26  )
% 1.03/1.26  % SZS output end Proof
% 1.03/1.26  % cvc5 exiting
%------------------------------------------------------------------------------