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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWC007+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:57:40 AM UTC 2026

% Result   : Theorem 15.81s 16.03s
% Output   : Proof 15.81s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : SWC007+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.07  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.25  % Computer : n012.cluster.edu
% 0.09/0.25  % Model    : x86_64 x86_64
% 0.09/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.25  % Memory   : 8042.1875MB
% 0.09/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.25  % CPULimit : 300
% 0.09/0.25  % WCLimit  : 300
% 0.09/0.25  % DateTime : Tue Jun  2 19:09:03 EDT 2026
% 0.09/0.26  % CPUTime  : 
% 0.14/0.35  %----Proving TF0_NAR, FOF, or CNF
% 15.81/16.03  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.81/16.03  --- Run --no-e-matching --full-saturate-quant at 6...
% 15.81/16.03  % SZS status Theorem
% 15.81/16.03  % SZS output start Proof
% 15.81/16.03  (
% 15.81/16.03  (declare-sort $$unsorted 0)
% 15.81/16.03  (declare-const tptp.tl (-> $$unsorted $$unsorted))
% 15.81/16.03  (declare-const tptp.hd (-> $$unsorted $$unsorted))
% 15.81/16.03  (declare-const tptp.duplicatefreeP (-> $$unsorted Bool))
% 15.81/16.03  (declare-const tptp.strictorderedP (-> $$unsorted Bool))
% 15.81/16.03  (declare-const tptp.geq (-> $$unsorted $$unsorted Bool))
% 15.81/16.03  (declare-const tptp.strictorderP (-> $$unsorted Bool))
% 15.81/16.03  (declare-const tptp.equalelemsP (-> $$unsorted Bool))
% 15.81/16.03  (declare-const tptp.totalorderP (-> $$unsorted Bool))
% 15.81/16.03  (declare-const tptp.neq (-> $$unsorted $$unsorted Bool))
% 15.81/16.03  (declare-const tptp.totalorderedP (-> $$unsorted Bool))
% 15.81/16.03  (declare-const tptp.singletonP (-> $$unsorted Bool))
% 15.81/16.03  (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted))
% 15.81/16.03  (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted))
% 15.81/16.03  (declare-const tptp.nil $$unsorted)
% 15.81/16.03  (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool))
% 15.81/16.03  (declare-const tptp.lt (-> $$unsorted $$unsorted Bool))
% 15.81/16.03  (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool))
% 15.81/16.03  (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool))
% 15.81/16.03  (declare-const tptp.gt (-> $$unsorted $$unsorted Bool))
% 15.81/16.03  (declare-const tptp.ssList (-> $$unsorted Bool))
% 15.81/16.03  (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool))
% 15.81/16.03  (declare-const tptp.cyclefreeP (-> $$unsorted Bool))
% 15.81/16.03  (declare-const tptp.ssItem (-> $$unsorted Bool))
% 15.81/16.03  (declare-const tptp.leq (-> $$unsorted $$unsorted Bool))
% 15.81/16.03  (define @t1 () (@var "V" $$unsorted))
% 15.81/16.03  (define @t2 () (@var "U" $$unsorted))
% 15.81/16.03  (define @t3 () (= @t2 @t1))
% 15.81/16.03  (define @t4 () (not @t3))
% 15.81/16.03  (define @t5 () (= (tptp.neq @t2 @t1) @t4))
% 15.81/16.03  (define @t6 () (tptp.ssItem @t1))
% 15.81/16.03  (define @t7 () (@list @t1))
% 15.81/16.03  (define @t8 () (tptp.ssItem @t2))
% 15.81/16.03  (define @t9 () (@list @t2))
% 15.81/16.03  (define @t10 () (@var "X" $$unsorted))
% 15.81/16.03  (define @t11 () (tptp.cons @t1 @t10))
% 15.81/16.03  (define @t12 () (@var "W" $$unsorted))
% 15.81/16.03  (define @t13 () (tptp.ssList @t10))
% 15.81/16.03  (define @t14 () (@list @t10))
% 15.81/16.03  (define @t15 () (tptp.ssList @t12))
% 15.81/16.03  (define @t16 () (@list @t12))
% 15.81/16.03  (define @t17 () (tptp.ssList @t2))
% 15.81/16.03  (define @t18 () (tptp.cons @t1 tptp.nil))
% 15.81/16.03  (define @t19 () (tptp.app @t1 @t12))
% 15.81/16.03  (define @t20 () (tptp.frontsegP @t2 @t1))
% 15.81/16.03  (define @t21 () (tptp.ssList @t1))
% 15.81/16.03  (define @t22 () (tptp.app @t12 @t1))
% 15.81/16.03  (define @t23 () (tptp.rearsegP @t2 @t1))
% 15.81/16.03  (define @t24 () (tptp.segmentP @t2 @t1))
% 15.81/16.03  (define @t25 () (tptp.leq @t12 @t1))
% 15.81/16.03  (define @t26 () (tptp.leq @t1 @t12))
% 15.81/16.03  (define @t27 () (@var "Z" $$unsorted))
% 15.81/16.03  (define @t28 () (@var "Y" $$unsorted))
% 15.81/16.03  (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2))
% 15.81/16.03  (define @t30 () (tptp.ssList @t27))
% 15.81/16.03  (define @t31 () (@list @t27))
% 15.81/16.03  (define @t32 () (tptp.ssList @t28))
% 15.81/16.03  (define @t33 () (@list @t28))
% 15.81/16.03  (define @t34 () (tptp.ssItem @t12))
% 15.81/16.03  (define @t35 () (tptp.lt @t1 @t12))
% 15.81/16.03  (define @t36 () (= @t1 @t12))
% 15.81/16.03  (define @t37 () (tptp.cons @t1 @t2))
% 15.81/16.03  (define @t38 () (tptp.ssList tptp.nil))
% 15.81/16.03  (define @t39 () (= @t1 @t2))
% 15.81/16.03  (define @t40 () (tptp.cons @t12 @t1))
% 15.81/16.03  (define @t41 () (= tptp.nil @t2))
% 15.81/16.03  (define @t42 () (tptp.hd @t2))
% 15.81/16.03  (define @t43 () (not @t41))
% 15.81/16.03  (define @t44 () (tptp.tl @t2))
% 15.81/16.03  (define @t45 () (tptp.app @t2 @t1))
% 15.81/16.03  (define @t46 () (tptp.app @t1 @t2))
% 15.81/16.03  (define @t47 () (tptp.app tptp.nil @t2))
% 15.81/16.03  (define @t48 () (=> @t17 (= @t47 @t2)))
% 15.81/16.03  (define @t49 () (forall @t9 @t48))
% 15.81/16.03  (define @t50 () (tptp.leq @t1 @t2))
% 15.81/16.03  (define @t51 () (tptp.leq @t2 @t1))
% 15.81/16.03  (define @t52 () (tptp.geq @t2 @t1))
% 15.81/16.03  (define @t53 () (tptp.lt @t1 @t2))
% 15.81/16.03  (define @t54 () (tptp.lt @t2 @t1))
% 15.81/16.03  (define @t55 () (tptp.lt @t2 @t12))
% 15.81/16.03  (define @t56 () (tptp.gt @t2 @t1))
% 15.81/16.03  (define @t57 () (tptp.memberP @t12 @t2))
% 15.81/16.03  (define @t58 () (tptp.app @t12 @t2))
% 15.81/16.03  (define @t59 () (tptp.cons @t2 tptp.nil))
% 15.81/16.03  (define @t60 () (tptp.hd @t1))
% 15.81/16.03  (define @t61 () (= tptp.nil @t1))
% 15.81/16.03  (define @t62 () (not @t61))
% 15.81/16.03  (define @t63 () (tptp.cons @t2 @t1))
% 15.81/16.03  (define @t64 () (= @t12 @t2))
% 15.81/16.03  (define @t65 () (tptp.app @t2 tptp.nil))
% 15.81/16.03  (define @t66 () (=> @t17 (= @t65 @t2)))
% 15.81/16.03  (define @t67 () (forall @t9 @t66))
% 15.81/16.03  (define @t68 () (@var "X1" $$unsorted))
% 15.81/16.03  (define @t69 () (tptp.app @t28 @t68))
% 15.81/16.03  (define @t70 () (tptp.app @t28 @t27))
% 15.81/16.03  (define @t71 () (tptp.app @t70 @t68))
% 15.81/16.03  (define @t72 () (tptp.ssList @t68))
% 15.81/16.03  (define @t73 () (and @t72 (= @t71 @t1) (= @t69 @t2)))
% 15.81/16.03  (define @t74 () (@list @t68))
% 15.81/16.03  (define @t75 () (exists @t74 @t73))
% 15.81/16.03  (define @t76 () (and @t30 @t75))
% 15.81/16.03  (define @t77 () (exists @t31 @t76))
% 15.81/16.03  (define @t78 () (and @t32 @t77))
% 15.81/16.03  (define @t79 () (exists @t33 @t78))
% 15.81/16.03  (define @t80 () (not (= @t2 @t12)))
% 15.81/16.03  (define @t81 () (not (= @t1 @t10)))
% 15.81/16.03  (define @t82 () (not (= tptp.nil @t12)))
% 15.81/16.03  (define @t83 () (or @t82 @t81 @t80 @t79))
% 15.81/16.03  (define @t84 () (=> @t13 @t83))
% 15.81/16.03  (define @t85 () (forall @t14 @t84))
% 15.81/16.03  (define @t86 () (=> @t15 @t85))
% 15.81/16.03  (define @t87 () (forall @t16 @t86))
% 15.81/16.03  (define @t88 () (=> @t21 @t87))
% 15.81/16.03  (define @t89 () (forall @t7 @t88))
% 15.81/16.03  (define @t90 () (=> @t17 @t89))
% 15.81/16.03  (define @t91 () (forall @t9 @t90))
% 15.81/16.03  (define @t92 () (not @t91))
% 15.81/16.03  (define @t93 () (= @t2 @t47))
% 15.81/16.03  (define @t94 () (@var "BOUND_VARIABLE_10974" $$unsorted))
% 15.81/16.03  (define @t95 () (tptp.app @t28 @t94))
% 15.81/16.03  (define @t96 () (not (= tptp.nil @t95)))
% 15.81/16.03  (define @t97 () (@var "BOUND_VARIABLE_11034" $$unsorted))
% 15.81/16.03  (define @t98 () (@var "BOUND_VARIABLE_10972" $$unsorted))
% 15.81/16.03  (define @t99 () (tptp.app (tptp.app @t28 @t98) @t94))
% 15.81/16.03  (define @t100 () (not (= @t99 @t97)))
% 15.81/16.03  (define @t101 () (not (tptp.ssList @t94)))
% 15.81/16.03  (define @t102 () (not (tptp.ssList @t98)))
% 15.81/16.03  (define @t103 () (not @t32))
% 15.81/16.03  (define @t104 () (@list @t28 @t98 @t94))
% 15.81/16.03  (define @t105 () (not (forall @t104 (or @t103 @t102 @t101 @t100 @t96))))
% 15.81/16.03  (define @t106 () (not (tptp.ssList @t97)))
% 15.81/16.03  (define @t107 () (or @t106 @t105))
% 15.81/16.03  (define @t108 () (@list @t97))
% 15.81/16.03  (define @t109 () (forall @t108 @t107))
% 15.81/16.03  (define @t110 () (@quantifiers_skolemize @t109 0))
% 15.81/16.03  (define @t111 () (@list @t110))
% 15.81/16.03  (define @t112 () (not @t38))
% 15.81/16.03  (define @t113 () (or @t112 @t109))
% 15.81/16.03  (define @t114 () (or @t112 @t107))
% 15.81/16.03  (define @t115 () (or @t112 @t106 @t105))
% 15.81/16.03  (define @t116 () (not (= tptp.nil tptp.nil)))
% 15.81/16.03  (define @t117 () (or @t112 @t116 @t106 @t105))
% 15.81/16.03  (define @t118 () (not (= @t2 @t95)))
% 15.81/16.03  (define @t119 () (not (forall @t104 (or @t103 @t102 @t101 @t100 @t118))))
% 15.81/16.03  (define @t120 () (not (= @t2 tptp.nil)))
% 15.81/16.03  (define @t121 () (not @t17))
% 15.81/16.03  (define @t122 () (or @t120 @t121 @t120 @t106 @t119))
% 15.81/16.03  (define @t123 () (or @t121 @t120 @t106 @t119))
% 15.81/16.03  (define @t124 () (forall @t9 @t123))
% 15.81/16.03  (define @t125 () (forall @t108 @t124))
% 15.81/16.03  (define @t126 () (forall (@list @t97 @t2) @t123))
% 15.81/16.03  (define @t127 () (@list @t2 @t97))
% 15.81/16.03  (define @t128 () (not (= @t97 @t99)))
% 15.81/16.03  (define @t129 () (or @t103 @t102 @t101 @t128 @t118))
% 15.81/16.03  (define @t130 () (forall @t104 @t129))
% 15.81/16.03  (define @t131 () (not @t130))
% 15.81/16.03  (define @t132 () (or @t121 @t120 @t106 @t131))
% 15.81/16.03  (define @t133 () (or @t106 @t131))
% 15.81/16.03  (define @t134 () (or @t121 @t120 @t133))
% 15.81/16.03  (define @t135 () (forall @t127 @t134))
% 15.81/16.03  (define @t136 () (forall @t108 @t134))
% 15.81/16.03  (define @t137 () (forall @t108 @t133))
% 15.81/16.03  (define @t138 () (or @t121 @t120 @t137))
% 15.81/16.03  (define @t139 () (not (= @t1 @t99)))
% 15.81/16.03  (define @t140 () (or @t103 @t102 @t101 @t139 @t118))
% 15.81/16.03  (define @t141 () (not (forall @t104 @t140)))
% 15.81/16.03  (define @t142 () (not @t21))
% 15.81/16.03  (define @t143 () (or @t142 @t141))
% 15.81/16.03  (define @t144 () (forall @t7 @t143))
% 15.81/16.03  (define @t145 () (or @t121 @t120 @t144))
% 15.81/16.03  (define @t146 () (forall @t9 @t145))
% 15.81/16.03  (define @t147 () (or @t112 @t146))
% 15.81/16.03  (define @t148 () (or @t112 @t145))
% 15.81/16.03  (define @t149 () (or @t121 @t112 @t120 @t144))
% 15.81/16.03  (define @t150 () (or @t112 @t120 @t144))
% 15.81/16.03  (define @t151 () (or @t112 @t120 @t143))
% 15.81/16.03  (define @t152 () (or @t142 @t141 @t112 @t120))
% 15.81/16.03  (define @t153 () (or @t141 @t142 @t112 @t120))
% 15.81/16.03  (define @t154 () (or @t112 @t120))
% 15.81/16.03  (define @t155 () (or @t112 @t116 @t120))
% 15.81/16.03  (define @t156 () (not (= @t12 tptp.nil)))
% 15.81/16.03  (define @t157 () (not @t15))
% 15.81/16.03  (define @t158 () (or @t156 @t157 @t156 @t80))
% 15.81/16.03  (define @t159 () (or @t157 @t156 @t80))
% 15.81/16.03  (define @t160 () (forall @t16 @t159))
% 15.81/16.03  (define @t161 () (or @t141 @t142 @t160))
% 15.81/16.03  (define @t162 () (or @t141 @t142 @t159))
% 15.81/16.03  (define @t163 () (or @t157 @t156 @t80 @t141 @t142))
% 15.81/16.03  (define @t164 () (or @t156 @t80 @t141 @t142))
% 15.81/16.03  (define @t165 () (not (= @t1 @t1)))
% 15.81/16.03  (define @t166 () (or @t142 @t165))
% 15.81/16.03  (define @t167 () (not @t13))
% 15.81/16.03  (define @t168 () (or @t81 @t167 @t81))
% 15.81/16.03  (define @t169 () (or @t167 @t81))
% 15.81/16.03  (define @t170 () (forall @t14 @t169))
% 15.81/16.03  (define @t171 () (or @t156 @t80 @t141 @t170))
% 15.81/16.03  (define @t172 () (or @t156 @t80 @t141 @t169))
% 15.81/16.03  (define @t173 () (or @t167 @t156 @t81 @t80 @t141))
% 15.81/16.03  (define @t174 () (or @t156 @t81 @t80 @t141))
% 15.81/16.03  (define @t175 () (or @t102 @t101 @t139 @t118))
% 15.81/16.03  (define @t176 () (or @t103 @t175))
% 15.81/16.03  (define @t177 () (forall @t104 @t176))
% 15.81/16.03  (define @t178 () (@list @t98 @t94))
% 15.81/16.03  (define @t179 () (forall @t178 @t176))
% 15.81/16.03  (define @t180 () (forall @t178 @t175))
% 15.81/16.03  (define @t181 () (@var "BOUND_VARIABLE_10948" $$unsorted))
% 15.81/16.03  (define @t182 () (or @t103 @t180))
% 15.81/16.03  (define @t183 () (not (= @t2 (tptp.app @t28 @t181))))
% 15.81/16.03  (define @t184 () (not (= @t1 (tptp.app @t70 @t181))))
% 15.81/16.03  (define @t185 () (not (tptp.ssList @t181)))
% 15.81/16.03  (define @t186 () (not @t30))
% 15.81/16.03  (define @t187 () (or @t186 @t185 @t184 @t183))
% 15.81/16.03  (define @t188 () (@list @t27 @t181))
% 15.81/16.03  (define @t189 () (forall @t188 @t187))
% 15.81/16.03  (define @t190 () (not @t189))
% 15.81/16.03  (define @t191 () (and @t32 @t190))
% 15.81/16.03  (define @t192 () (forall @t33 (not @t191)))
% 15.81/16.03  (define @t193 () (not @t192))
% 15.81/16.03  (define @t194 () (or @t185 @t184 @t183))
% 15.81/16.03  (define @t195 () (or @t186 @t194))
% 15.81/16.03  (define @t196 () (forall @t188 @t195))
% 15.81/16.03  (define @t197 () (@list @t181))
% 15.81/16.03  (define @t198 () (forall @t197 @t195))
% 15.81/16.03  (define @t199 () (forall @t197 @t194))
% 15.81/16.03  (define @t200 () (or @t186 @t199))
% 15.81/16.03  (define @t201 () (= @t2 @t69))
% 15.81/16.03  (define @t202 () (not @t201))
% 15.81/16.03  (define @t203 () (= @t1 @t71))
% 15.81/16.03  (define @t204 () (not @t203))
% 15.81/16.03  (define @t205 () (not @t72))
% 15.81/16.03  (define @t206 () (or @t205 @t204 @t202))
% 15.81/16.03  (define @t207 () (forall @t74 @t206))
% 15.81/16.03  (define @t208 () (not @t207))
% 15.81/16.03  (define @t209 () (and @t30 @t208))
% 15.81/16.03  (define @t210 () (forall @t31 (not @t209)))
% 15.81/16.03  (define @t211 () (not @t210))
% 15.81/16.03  (define @t212 () (and @t72 @t203 @t201))
% 15.81/16.03  (define @t213 () (forall @t74 (not @t212)))
% 15.81/16.03  (define @t214 () (not @t213))
% 15.81/16.03  (define @t215 () (tptp.ssList @t110))
% 15.81/16.03  (define @t216 () (forall @t104 (or @t103 @t102 @t101 (not (= @t99 @t110)) @t96)))
% 15.81/16.03  (define @t217 () (not @t216))
% 15.81/16.03  (define @t218 () (not @t215))
% 15.81/16.03  (define @t219 () (or @t218 @t217))
% 15.81/16.03  (define @t220 () (@list true))
% 15.81/16.03  (define @t221 () (@list @t219))
% 15.81/16.03  (define @t222 () (tptp.app tptp.nil @t110))
% 15.81/16.03  (define @t223 () (= @t110 @t222))
% 15.81/16.03  (define @t224 () (or @t218 @t223))
% 15.81/16.03  (define @t225 () (@list false false))
% 15.81/16.03  (define @t226 () (= @t2 @t65))
% 15.81/16.03  (define @t227 () (tptp.app @t110 tptp.nil))
% 15.81/16.03  (define @t228 () (= @t110 @t227))
% 15.81/16.03  (define @t229 () (or @t218 @t228))
% 15.81/16.03  (define @t230 () (@list @t215 @t229))
% 15.81/16.03  (define @t231 () (= tptp.nil (tptp.app tptp.nil tptp.nil)))
% 15.81/16.03  (define @t232 () (not @t231))
% 15.81/16.03  (define @t233 () (tptp.app @t222 tptp.nil))
% 15.81/16.03  (define @t234 () (not (= @t233 @t110)))
% 15.81/16.03  (define @t235 () (or @t112 @t218 @t112 @t234 @t232))
% 15.81/16.03  (define @t236 () (= @t110 @t233))
% 15.81/16.03  (define @t237 () (not @t236))
% 15.81/16.03  (define @t238 () (or @t112 @t218 @t112 @t237 @t232))
% 15.81/16.03  (define @t239 () (or @t112 @t231))
% 15.81/16.03  (define @t240 () (not @t228))
% 15.81/16.03  (define @t241 () (not @t223))
% 15.81/16.03  (define @t242 () (and @t237 @t236))
% 15.81/16.03  (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5)))))
% 15.81/16.03  (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4)))))
% 15.81/16.03  (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)))))))))))
% 15.81/16.03  (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2)))))))
% 15.81/16.03  (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2)))))))))
% 15.81/16.03  (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2)))))))))
% 15.81/16.03  (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2)))))))))))
% 15.81/16.03  (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)))))))))))))))))
% 15.81/16.03  (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))))))))))))))))
% 15.81/16.03  (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)))))))))))))))))
% 15.81/16.03  (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)))))))))))))))
% 15.81/16.03  (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)))))))))))))))
% 15.81/16.03  (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))))))))))))))))
% 15.81/16.03  (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)))))))))))))
% 15.81/16.03  (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5)))))
% 15.81/16.03  (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37))))))
% 15.81/16.03  (assume @p17 @t38)
% 15.81/16.03  (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2)))))))
% 15.81/16.03  (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) @t39)))))))))))
% 15.81/16.03  (assume @p20 (forall @t9 (=> @t17 (or @t41 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t40 @t2)))))))))
% 15.81/16.03  (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37)))))))
% 15.81/16.03  (assume @p22 (forall @t9 (=> @t17 (=> @t43 (tptp.ssItem @t42)))))
% 15.81/16.03  (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1))))))
% 15.81/16.03  (assume @p24 (forall @t9 (=> @t17 (=> @t43 (tptp.ssList @t44)))))
% 15.81/16.03  (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2))))))
% 15.81/16.03  (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t45))))))
% 15.81/16.03  (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t46) (tptp.app @t40 @t2)))))))))
% 15.81/16.03  (assume @p28 @t49)
% 15.81/16.03  (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t51 @t50) @t3))))))
% 15.81/16.03  (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t26) (tptp.leq @t2 @t12)))))))))
% 15.81/16.03  (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2))))
% 15.81/16.03  (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t50))))))
% 15.81/16.03  (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t54 (not @t53)))))))
% 15.81/16.03  (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t54 @t35) @t55))))))))
% 15.81/16.03  (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t56 @t53))))))
% 15.81/16.03  (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t57)))))))))
% 15.81/16.03  (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t57)))))))))
% 15.81/16.03  (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2)))))
% 15.81/16.03  (assume @p39 (not (tptp.singletonP tptp.nil)))
% 15.81/16.03  (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12)))))))))
% 15.81/16.03  (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3))))))
% 15.81/16.03  (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2))))
% 15.81/16.03  (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1)))))))))
% 15.81/16.03  (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))))))))))))
% 15.81/16.03  (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil))))
% 15.81/16.03  (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t41))))
% 15.81/16.03  (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12)))))))))
% 15.81/16.03  (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3))))))
% 15.81/16.03  (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2))))
% 15.81/16.03  (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t58 @t1)))))))))
% 15.81/16.03  (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil))))
% 15.81/16.03  (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t41))))
% 15.81/16.03  (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12)))))))))
% 15.81/16.03  (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3))))))
% 15.81/16.03  (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2))))
% 15.81/16.03  (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t58 @t10) @t1)))))))))))
% 15.81/16.03  (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil))))
% 15.81/16.03  (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t41))))
% 15.81/16.03  (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t59))))
% 15.81/16.03  (assume @p60 (tptp.cyclefreeP tptp.nil))
% 15.81/16.03  (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t59))))
% 15.81/16.03  (assume @p62 (tptp.totalorderP tptp.nil))
% 15.81/16.03  (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t59))))
% 15.81/16.03  (assume @p64 (tptp.strictorderP tptp.nil))
% 15.81/16.03  (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t59))))
% 15.81/16.03  (assume @p66 (tptp.totalorderedP tptp.nil))
% 15.81/16.03  (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t63) (or @t61 (and @t62 (tptp.totalorderedP @t1) (tptp.leq @t2 @t60)))))))))
% 15.81/16.03  (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t59))))
% 15.81/16.03  (assume @p69 (tptp.strictorderedP tptp.nil))
% 15.81/16.03  (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t63) (or @t61 (and @t62 (tptp.strictorderedP @t1) (tptp.lt @t2 @t60)))))))))
% 15.81/16.03  (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t59))))
% 15.81/16.03  (assume @p72 (tptp.duplicatefreeP tptp.nil))
% 15.81/16.03  (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t59))))
% 15.81/16.03  (assume @p74 (tptp.equalelemsP tptp.nil))
% 15.81/16.03  (assume @p75 (forall @t9 (=> @t17 (=> @t43 (exists @t7 (and @t6 (= @t42 @t1)))))))
% 15.81/16.03  (assume @p76 (forall @t9 (=> @t17 (=> @t43 (exists @t7 (and @t21 (= @t44 @t1)))))))
% 15.81/16.03  (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t62 @t43 (= @t60 @t42) (= (tptp.tl @t1) @t44)) @t39))))))
% 15.81/16.03  (assume @p78 (forall @t9 (=> @t17 (=> @t43 (= (tptp.cons @t42 @t44) @t2)))))
% 15.81/16.03  (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t45) @t64))))))))
% 15.81/16.03  (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t46) @t64))))))))
% 15.81/16.03  (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2)))))))
% 15.81/16.03  (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t45 @t12) (tptp.app @t2 @t19)))))))))
% 15.81/16.03  (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t45) (and @t61 @t41)))))))
% 15.81/16.03  (assume @p84 @t67)
% 15.81/16.03  (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t43 (= (tptp.hd @t45) @t42)))))))
% 15.81/16.03  (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t43 (= (tptp.tl @t45) (tptp.app @t44 @t1))))))))
% 15.81/16.03  (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t52 (tptp.geq @t1 @t2)) @t3))))))
% 15.81/16.03  (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12)))))))))
% 15.81/16.03  (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2))))
% 15.81/16.03  (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2)))))
% 15.81/16.03  (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t51 @t35) @t55))))))))
% 15.81/16.03  (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t51 (or @t3 @t54)))))))
% 15.81/16.03  (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t54 (and @t4 @t51)))))))
% 15.81/16.03  (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t56 (not (tptp.gt @t1 @t2))))))))
% 15.81/16.03  (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t56 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12)))))))))
% 15.81/16.03  (assume @p96 @t92)
% 15.81/16.03  (assume @p97 true)
% 15.81/16.03  (step @p98 :rule bool-impl-elim :args (@t17 @t93))
% 15.81/16.03  (step @p99 :rule cong :premises (@p98) :args ((forall @t9 (=> @t17 @t93))))
% 15.81/16.03  (step @p100 :rule eq-symm :args (@t47 @t2))
% 15.81/16.03  (step @p101 :rule refl :args (@t17))
% 15.81/16.03  (step @p102 :rule cong :premises (@p101 @p100) :args (@t48))
% 15.81/16.03  (step @p103 :rule cong :premises (@p102) :args (@t49))
% 15.81/16.03  (step @p104 :rule trans :premises (@p103 @p99))
% 15.81/16.03  (step @p105 :rule eq_resolve :premises (@p28 @p104))
% 15.81/16.03  (step @p106 :rule instantiate :premises (@p105) :args (@t111))
% 15.81/16.03  (step @p107 :rule aci_norm :args ((= (or @t112 @t113) @t113)))
% 15.81/16.03  (step @p108 :rule quant-miniscope-or :args ((= (forall @t108 @t114) @t113)))
% 15.81/16.03  (step @p109 :rule aci_norm :args ((= @t115 @t114)))
% 15.81/16.03  (step @p110 :rule cong :premises (@p109) :args ((forall @t108 @t115)))
% 15.81/16.03  (step @p111 :rule trans :premises (@p110 @p108))
% 15.81/16.03  (step @p112 :rule aci_norm :args ((= (or @t112 false @t106 @t105) @t115)))
% 15.81/16.03  (step @p113 :rule refl :args (@t105))
% 15.81/16.03  (step @p114 :rule refl :args (@t106))
% 15.81/16.03  (step @p115 :rule evaluate :args ((not true)))
% 15.81/16.03  (step @p116 :rule eq-refl :args (tptp.nil))
% 15.81/16.03  (step @p117 :rule cong :premises (@p116) :args (@t116))
% 15.81/16.03  (step @p118 :rule trans :premises (@p117 @p115))
% 15.81/16.03  (step @p119 :rule refl :args (@t112))
% 15.81/16.03  (step @p120 :rule nary_cong :premises (@p119 @p118 @p114 @p113) :args (@t117))
% 15.81/16.03  (step @p121 :rule trans :premises (@p120 @p112))
% 15.81/16.03  (step @p122 :rule cong :premises (@p121) :args ((forall @t108 @t117)))
% 15.81/16.03  (step @p123 :rule trans :premises (@p122 @p111))
% 15.81/16.03  (step @p124 :rule quant-var-elim-eq :args ((= (forall @t9 @t122) @t117)))
% 15.81/16.03  (step @p125 :rule aci_norm :args ((= @t123 @t122)))
% 15.81/16.03  (step @p126 :rule cong :premises (@p125) :args (@t124))
% 15.81/16.03  (step @p127 :rule trans :premises (@p126 @p124))
% 15.81/16.03  (step @p128 :rule cong :premises (@p127) :args (@t125))
% 15.81/16.03  (step @p129 :rule quant-merge-prenex :args ((= @t125 @t126)))
% 15.81/16.03  (step @p130 :rule symm :premises (@p129))
% 15.81/16.03  (step @p131 :rule quant_var_reordering :args ((= (forall @t127 @t123) @t126)))
% 15.81/16.03  (step @p132 :rule trans :premises (@p131 @p130 @p128))
% 15.81/16.03  (step @p133 :rule trans :premises (@p132 @p123))
% 15.81/16.03  (step @p134 :rule refl :args (@t118))
% 15.81/16.03  (step @p135 :rule eq-symm :args (@t97 @t99))
% 15.81/16.03  (step @p136 :rule cong :premises (@p135) :args (@t128))
% 15.81/16.03  (step @p137 :rule refl :args (@t101))
% 15.81/16.03  (step @p138 :rule refl :args (@t102))
% 15.81/16.03  (step @p139 :rule refl :args (@t103))
% 15.81/16.03  (step @p140 :rule nary_cong :premises (@p139 @p138 @p137 @p136 @p134) :args (@t129))
% 15.81/16.03  (step @p141 :rule cong :premises (@p140) :args (@t130))
% 15.81/16.03  (step @p142 :rule cong :premises (@p141) :args (@t131))
% 15.81/16.03  (step @p143 :rule refl :args (@t120))
% 15.81/16.03  (step @p144 :rule refl :args (@t121))
% 15.81/16.03  (step @p145 :rule nary_cong :premises (@p144 @p143 @p114 @p142) :args (@t132))
% 15.81/16.03  (step @p146 :rule aci_norm :args ((= @t134 @t132)))
% 15.81/16.03  (step @p147 :rule trans :premises (@p146 @p145))
% 15.81/16.03  (step @p148 :rule cong :premises (@p147) :args (@t135))
% 15.81/16.03  (step @p149 :rule trans :premises (@p148 @p133))
% 15.81/16.03  (step @p150 :rule quant-merge-prenex :args ((= (forall @t9 @t136) @t135)))
% 15.81/16.03  (step @p151 :rule alpha_equiv :args (@t137 (@list @t97) (@list @t1)))
% 15.81/16.03  (step @p152 :rule refl :args (@t120))
% 15.81/16.03  (step @p153 :rule refl :args (@t121))
% 15.81/16.03  (step @p154 :rule nary_cong :premises (@p153 @p152 @p151) :args (@t138))
% 15.81/16.03  (step @p155 :rule quant-miniscope-or :args ((= @t136 @t138)))
% 15.81/16.03  (step @p156 :rule trans :premises (@p155 @p154))
% 15.81/16.03  (step @p157 :rule symm :premises (@p156))
% 15.81/16.03  (step @p158 :rule cong :premises (@p157) :args (@t146))
% 15.81/16.03  (step @p159 :rule trans :premises (@p158 @p150))
% 15.81/16.03  (step @p160 :rule trans :premises (@p159 @p149))
% 15.81/16.03  (step @p161 :rule nary_cong :premises (@p119 @p160) :args (@t147))
% 15.81/16.03  (step @p162 :rule trans :premises (@p161 @p107))
% 15.81/16.03  (step @p163 :rule quant-miniscope-or :args ((= (forall @t9 @t148) @t147)))
% 15.81/16.03  (step @p164 :rule aci_norm :args ((= @t149 @t148)))
% 15.81/16.03  (step @p165 :rule cong :premises (@p164) :args ((forall @t9 @t149)))
% 15.81/16.03  (step @p166 :rule trans :premises (@p165 @p163))
% 15.81/16.03  (step @p167 :rule trans :premises (@p166 @p162))
% 15.81/16.03  (step @p168 :rule aci_norm :args ((= (or @t121 @t150) @t149)))
% 15.81/16.03  (step @p169 :rule bool-impl-elim :args (@t17 @t150))
% 15.81/16.03  (step @p170 :rule trans :premises (@p169 @p168))
% 15.81/16.03  (step @p171 :rule cong :premises (@p170) :args ((forall @t9 (=> @t17 @t150))))
% 15.81/16.03  (step @p172 :rule trans :premises (@p171 @p167))
% 15.81/16.03  (step @p173 :rule quant-miniscope-or :args ((= (forall @t7 @t151) @t150)))
% 15.81/16.03  (step @p174 :rule aci_norm :args ((= @t152 @t151)))
% 15.81/16.03  (step @p175 :rule cong :premises (@p174) :args ((forall @t7 @t152)))
% 15.81/16.03  (step @p176 :rule trans :premises (@p175 @p173))
% 15.81/16.03  (step @p177 :rule aci_norm :args ((= (or @t142 @t153) @t152)))
% 15.81/16.03  (step @p178 :rule bool-impl-elim :args (@t21 @t153))
% 15.81/16.03  (step @p179 :rule trans :premises (@p178 @p177))
% 15.81/16.03  (step @p180 :rule cong :premises (@p179) :args ((forall @t7 (=> @t21 @t153))))
% 15.81/16.03  (step @p181 :rule trans :premises (@p180 @p176))
% 15.81/16.03  (step @p182 :rule aci_norm :args ((= (or @t141 @t142 @t154) @t153)))
% 15.81/16.03  (step @p183 :rule aci_norm :args ((= (or @t112 false @t120) @t154)))
% 15.81/16.03  (step @p184 :rule nary_cong :premises (@p119 @p118 @p143) :args (@t155))
% 15.81/16.03  (step @p185 :rule trans :premises (@p184 @p183))
% 15.81/16.03  (step @p186 :rule quant-var-elim-eq :args ((= (forall @t16 @t158) @t155)))
% 15.81/16.03  (step @p187 :rule aci_norm :args ((= @t159 @t158)))
% 15.81/16.03  (step @p188 :rule cong :premises (@p187) :args (@t160))
% 15.81/16.03  (step @p189 :rule trans :premises (@p188 @p186))
% 15.81/16.03  (step @p190 :rule trans :premises (@p189 @p185))
% 15.81/16.03  (step @p191 :rule refl :args (@t142))
% 15.81/16.03  (step @p192 :rule refl :args (@t141))
% 15.81/16.03  (step @p193 :rule nary_cong :premises (@p192 @p191 @p190) :args (@t161))
% 15.81/16.03  (step @p194 :rule trans :premises (@p193 @p182))
% 15.81/16.03  (step @p195 :rule quant-miniscope-or :args ((= (forall @t16 @t162) @t161)))
% 15.81/16.03  (step @p196 :rule aci_norm :args ((= @t163 @t162)))
% 15.81/16.03  (step @p197 :rule cong :premises (@p196) :args ((forall @t16 @t163)))
% 15.81/16.03  (step @p198 :rule trans :premises (@p197 @p195))
% 15.81/16.03  (step @p199 :rule trans :premises (@p198 @p194))
% 15.81/16.03  (step @p200 :rule aci_norm :args ((= (or @t157 @t164) @t163)))
% 15.81/16.03  (step @p201 :rule bool-impl-elim :args (@t15 @t164))
% 15.81/16.03  (step @p202 :rule trans :premises (@p201 @p200))
% 15.81/16.03  (step @p203 :rule cong :premises (@p202) :args ((forall @t16 (=> @t15 @t164))))
% 15.81/16.03  (step @p204 :rule trans :premises (@p203 @p199))
% 15.81/16.03  (step @p205 :rule aci_norm :args ((= (or @t142 false) @t142)))
% 15.81/16.03  (step @p206 :rule eq-refl :args (@t1))
% 15.81/16.03  (step @p207 :rule cong :premises (@p206) :args (@t165))
% 15.81/16.03  (step @p208 :rule trans :premises (@p207 @p115))
% 15.81/16.03  (step @p209 :rule nary_cong :premises (@p191 @p208) :args (@t166))
% 15.81/16.03  (step @p210 :rule trans :premises (@p209 @p205))
% 15.81/16.03  (step @p211 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t167 @t81)) @t166)))
% 15.81/16.03  (step @p212 :rule refl :args (@t81))
% 15.81/16.03  (step @p213 :rule refl :args (@t167))
% 15.81/16.03  (step @p214 :rule eq-symm :args (@t1 @t10))
% 15.81/16.03  (step @p215 :rule cong :premises (@p214) :args (@t81))
% 15.81/16.03  (step @p216 :rule nary_cong :premises (@p215 @p213 @p212) :args (@t168))
% 15.81/16.03  (step @p217 :rule aci_norm :args ((= @t169 @t168)))
% 15.81/16.03  (step @p218 :rule trans :premises (@p217 @p216))
% 15.81/16.03  (step @p219 :rule cong :premises (@p218) :args (@t170))
% 15.81/16.03  (step @p220 :rule trans :premises (@p219 @p211))
% 15.81/16.03  (step @p221 :rule trans :premises (@p220 @p210))
% 15.81/16.03  (step @p222 :rule refl :args (@t80))
% 15.81/16.03  (step @p223 :rule refl :args (@t156))
% 15.81/16.03  (step @p224 :rule nary_cong :premises (@p223 @p222 @p192 @p221) :args (@t171))
% 15.81/16.03  (step @p225 :rule quant-miniscope-or :args ((= (forall @t14 @t172) @t171)))
% 15.81/16.03  (step @p226 :rule aci_norm :args ((= @t173 @t172)))
% 15.81/16.03  (step @p227 :rule cong :premises (@p226) :args ((forall @t14 @t173)))
% 15.81/16.03  (step @p228 :rule trans :premises (@p227 @p225))
% 15.81/16.03  (step @p229 :rule trans :premises (@p228 @p224))
% 15.81/16.03  (step @p230 :rule aci_norm :args ((= (or @t167 @t174) @t173)))
% 15.81/16.03  (step @p231 :rule bool-impl-elim :args (@t13 @t174))
% 15.81/16.03  (step @p232 :rule trans :premises (@p231 @p230))
% 15.81/16.03  (step @p233 :rule cong :premises (@p232) :args ((forall @t14 (=> @t13 @t174))))
% 15.81/16.03  (step @p234 :rule trans :premises (@p233 @p229))
% 15.81/16.03  (step @p235 :rule aci_norm :args ((= @t176 @t140)))
% 15.81/16.03  (step @p236 :rule cong :premises (@p235) :args (@t177))
% 15.81/16.03  (step @p237 :rule quant-merge-prenex :args ((= (forall @t33 @t179) @t177)))
% 15.81/16.03  (step @p238 :rule alpha_equiv :args (@t180 (@list @t98 @t94) (@list @t27 @t181)))
% 15.81/16.03  (step @p239 :rule refl :args (@t103))
% 15.81/16.03  (step @p240 :rule nary_cong :premises (@p239 @p238) :args (@t182))
% 15.81/16.03  (step @p241 :rule quant-miniscope-or :args ((= @t179 @t182)))
% 15.81/16.03  (step @p242 :rule trans :premises (@p241 @p240))
% 15.81/16.03  (step @p243 :rule symm :premises (@p242))
% 15.81/16.03  (step @p244 :rule cong :premises (@p243) :args ((forall @t33 (or @t103 @t189))))
% 15.81/16.03  (step @p245 :rule trans :premises (@p244 @p237))
% 15.81/16.03  (step @p246 :rule trans :premises (@p245 @p236))
% 15.81/16.03  (step @p247 :rule bool-double-not-elim :args (@t189))
% 15.81/16.03  (step @p248 :rule nary_cong :premises (@p239 @p247) :args ((or @t103 (not @t190))))
% 15.81/16.03  (step @p249 :rule bool-and-de-morgan :args (@t32 @t190 true))
% 15.81/16.03  (step @p250 :rule trans :premises (@p249 @p248))
% 15.81/16.03  (step @p251 :rule cong :premises (@p250) :args (@t192))
% 15.81/16.03  (step @p252 :rule trans :premises (@p251 @p246))
% 15.81/16.03  (step @p253 :rule cong :premises (@p252) :args (@t193))
% 15.81/16.03  (step @p254 :rule exists-elim :args ((= (exists @t33 @t191) @t193)))
% 15.81/16.03  (step @p255 :rule trans :premises (@p254 @p253))
% 15.81/16.03  (step @p256 :rule aci_norm :args ((= @t195 @t187)))
% 15.81/16.03  (step @p257 :rule cong :premises (@p256) :args (@t196))
% 15.81/16.03  (step @p258 :rule quant-merge-prenex :args ((= (forall @t31 @t198) @t196)))
% 15.81/16.03  (step @p259 :rule alpha_equiv :args (@t199 (@list @t181) (@list @t68)))
% 15.81/16.03  (step @p260 :rule refl :args (@t186))
% 15.81/16.03  (step @p261 :rule nary_cong :premises (@p260 @p259) :args (@t200))
% 15.81/16.03  (step @p262 :rule quant-miniscope-or :args ((= @t198 @t200)))
% 15.81/16.03  (step @p263 :rule trans :premises (@p262 @p261))
% 15.81/16.03  (step @p264 :rule symm :premises (@p263))
% 15.81/16.03  (step @p265 :rule cong :premises (@p264) :args ((forall @t31 (or @t186 @t207))))
% 15.81/16.03  (step @p266 :rule trans :premises (@p265 @p258))
% 15.81/16.03  (step @p267 :rule trans :premises (@p266 @p257))
% 15.81/16.03  (step @p268 :rule bool-double-not-elim :args (@t207))
% 15.81/16.03  (step @p269 :rule nary_cong :premises (@p260 @p268) :args ((or @t186 (not @t208))))
% 15.81/16.03  (step @p270 :rule bool-and-de-morgan :args (@t30 @t208 true))
% 15.81/16.03  (step @p271 :rule trans :premises (@p270 @p269))
% 15.81/16.03  (step @p272 :rule cong :premises (@p271) :args (@t210))
% 15.81/16.03  (step @p273 :rule trans :premises (@p272 @p267))
% 15.81/16.03  (step @p274 :rule cong :premises (@p273) :args (@t211))
% 15.81/16.03  (step @p275 :rule exists-elim :args ((= (exists @t31 @t209) @t211)))
% 15.81/16.03  (step @p276 :rule trans :premises (@p275 @p274))
% 15.81/16.03  (step @p277 :rule aci_norm :args ((= (or @t205 (or @t204 @t202)) @t206)))
% 15.81/16.03  (step @p278 :rule bool-and-de-morgan :args (@t203 @t201 true))
% 15.81/16.03  (step @p279 :rule refl :args (@t205))
% 15.81/16.03  (step @p280 :rule nary_cong :premises (@p279 @p278) :args ((or @t205 (not (and @t203 @t201)))))
% 15.81/16.03  (step @p281 :rule bool-and-de-morgan :args (@t72 @t203 (and @t201)))
% 15.81/16.03  (step @p282 :rule trans :premises (@p281 @p280))
% 15.81/16.03  (step @p283 :rule trans :premises (@p282 @p277))
% 15.81/16.03  (step @p284 :rule cong :premises (@p283) :args (@t213))
% 15.81/16.03  (step @p285 :rule cong :premises (@p284) :args (@t214))
% 15.81/16.03  (step @p286 :rule exists-elim :args ((= (exists @t74 @t212) @t214)))
% 15.81/16.03  (step @p287 :rule trans :premises (@p286 @p285))
% 15.81/16.03  (step @p288 :rule eq-symm :args (@t69 @t2))
% 15.81/16.03  (step @p289 :rule eq-symm :args (@t71 @t1))
% 15.81/16.03  (step @p290 :rule refl :args (@t72))
% 15.81/16.03  (step @p291 :rule nary_cong :premises (@p290 @p289 @p288) :args (@t73))
% 15.81/16.03  (step @p292 :rule cong :premises (@p291) :args (@t75))
% 15.81/16.03  (step @p293 :rule trans :premises (@p292 @p287))
% 15.81/16.03  (step @p294 :rule refl :args (@t30))
% 15.81/16.03  (step @p295 :rule nary_cong :premises (@p294 @p293) :args (@t76))
% 15.81/16.03  (step @p296 :rule cong :premises (@p295) :args (@t77))
% 15.81/16.03  (step @p297 :rule trans :premises (@p296 @p276))
% 15.81/16.03  (step @p298 :rule refl :args (@t32))
% 15.81/16.03  (step @p299 :rule nary_cong :premises (@p298 @p297) :args (@t78))
% 15.81/16.03  (step @p300 :rule cong :premises (@p299) :args (@t79))
% 15.81/16.03  (step @p301 :rule trans :premises (@p300 @p255))
% 15.81/16.03  (step @p302 :rule refl :args (@t81))
% 15.81/16.03  (step @p303 :rule eq-symm :args (tptp.nil @t12))
% 15.81/16.03  (step @p304 :rule cong :premises (@p303) :args (@t82))
% 15.81/16.03  (step @p305 :rule nary_cong :premises (@p304 @p302 @p222 @p301) :args (@t83))
% 15.81/16.03  (step @p306 :rule refl :args (@t13))
% 15.81/16.03  (step @p307 :rule cong :premises (@p306 @p305) :args (@t84))
% 15.81/16.03  (step @p308 :rule cong :premises (@p307) :args (@t85))
% 15.81/16.03  (step @p309 :rule trans :premises (@p308 @p234))
% 15.81/16.03  (step @p310 :rule refl :args (@t15))
% 15.81/16.03  (step @p311 :rule cong :premises (@p310 @p309) :args (@t86))
% 15.81/16.03  (step @p312 :rule cong :premises (@p311) :args (@t87))
% 15.81/16.03  (step @p313 :rule trans :premises (@p312 @p204))
% 15.81/16.03  (step @p314 :rule refl :args (@t21))
% 15.81/16.03  (step @p315 :rule cong :premises (@p314 @p313) :args (@t88))
% 15.81/16.03  (step @p316 :rule cong :premises (@p315) :args (@t89))
% 15.81/16.03  (step @p317 :rule trans :premises (@p316 @p181))
% 15.81/16.03  (step @p318 :rule cong :premises (@p101 @p317) :args (@t90))
% 15.81/16.03  (step @p319 :rule cong :premises (@p318) :args (@t91))
% 15.81/16.03  (step @p320 :rule trans :premises (@p319 @p172))
% 15.81/16.03  (step @p321 :rule cong :premises (@p320) :args (@t92))
% 15.81/16.03  (step @p322 :rule eq_resolve :premises (@p96 @p321))
% 15.81/16.03  (step @p323 :rule not_or_elim :premises (@p322) :args (1))
% 15.81/16.03  (step @p324 :rule skolemize :premises (@p323))
% 15.81/16.03  (step @p325 :rule bool-double-not-elim :args (@t215))
% 15.81/16.03  (step @p326 :rule refl :args (@t219))
% 15.81/16.03  (step @p327 :rule nary_cong :premises (@p326 @p325) :args ((or @t219 (not @t218))))
% 15.81/16.03  (step @p328 :rule cnf_or_neg :args (@t219 0))
% 15.81/16.03  (step @p329 :rule eq_resolve :premises (@p328 @p327))
% 15.81/16.03  (step @p330 :rule reordering :premises (@p329) :args ((or @t215 @t219)))
% 15.81/16.03  (step @p331 :rule chain_m_resolution :premises (@p330 @p324) :args (@t215 @t220 @t221))
% 15.81/16.03  (step @p332 :rule cnf_or_pos :args (@t224))
% 15.81/16.03  (step @p333 :rule reordering :premises (@p332) :args ((or @t218 @t223 (not @t224))))
% 15.81/16.03  (step @p334 :rule chain_m_resolution :premises (@p333 @p331 @p106) :args (@t223 @t225 (@list @t215 @t224)))
% 15.81/16.03  (step @p335 :rule bool-impl-elim :args (@t17 @t226))
% 15.81/16.03  (step @p336 :rule cong :premises (@p335) :args ((forall @t9 (=> @t17 @t226))))
% 15.81/16.03  (step @p337 :rule eq-symm :args (@t65 @t2))
% 15.81/16.03  (step @p338 :rule cong :premises (@p101 @p337) :args (@t66))
% 15.81/16.03  (step @p339 :rule cong :premises (@p338) :args (@t67))
% 15.81/16.03  (step @p340 :rule trans :premises (@p339 @p336))
% 15.81/16.03  (step @p341 :rule eq_resolve :premises (@p84 @p340))
% 15.81/16.03  (step @p342 :rule instantiate :premises (@p341) :args (@t111))
% 15.81/16.03  (step @p343 :rule cnf_or_pos :args (@t229))
% 15.81/16.03  (step @p344 :rule reordering :premises (@p343) :args ((or @t218 @t228 (not @t229))))
% 15.81/16.03  (step @p345 :rule chain_m_resolution :premises (@p344 @p331 @p342) :args (@t228 @t225 @t230))
% 15.81/16.03  (step @p346 :rule bool-double-not-elim :args (@t216))
% 15.81/16.03  (step @p347 :rule nary_cong :premises (@p326 @p346) :args ((or @t219 (not @t217))))
% 15.81/16.03  (step @p348 :rule cnf_or_neg :args (@t219 1))
% 15.81/16.03  (step @p349 :rule eq_resolve :premises (@p348 @p347))
% 15.81/16.03  (step @p350 :rule reordering :premises (@p349) :args ((or @t216 @t219)))
% 15.81/16.03  (step @p351 :rule chain_m_resolution :premises (@p350 @p324) :args (@t216 @t220 @t221))
% 15.81/16.03  (step @p352 :rule refl :args (@t232))
% 15.81/16.03  (step @p353 :rule eq-symm :args (@t233 @t110))
% 15.81/16.03  (step @p354 :rule cong :premises (@p353) :args (@t234))
% 15.81/16.03  (step @p355 :rule refl :args (@t218))
% 15.81/16.03  (step @p356 :rule nary_cong :premises (@p119 @p355 @p119 @p354 @p352) :args (@t235))
% 15.81/16.03  (step @p357 :rule refl :args (@t216))
% 15.81/16.03  (step @p358 :rule cong :premises (@p357 @p356) :args ((=> @t216 @t235)))
% 15.81/16.03  (assume-push @p409 @t216)
% 15.81/16.03  (step @p360 :rule instantiate :premises (@p351) :args ((@list tptp.nil @t110 tptp.nil)))
% 15.81/16.03  (step-pop @p410 :rule scope :premises (@p360))
% 15.81/16.03  (step @p361 :rule process_scope :premises (@p410) :args (@t235))
% 15.81/16.03  (step @p363 :rule eq_resolve :premises (@p361 @p358))
% 15.81/16.03  (step @p364 :rule implies_elim :premises (@p363))
% 15.81/16.03  (step @p365 :rule chain_m_resolution :premises (@p364 @p351) :args (@t238 (@list false) (@list @t216)))
% 15.81/16.03  (step @p366 :rule instantiate :premises (@p105) :args ((@list tptp.nil)))
% 15.81/16.03  (step @p367 :rule not_or_elim :premises (@p322) :args (0))
% 15.81/16.03  (step @p368 :rule not_not_elim :premises (@p367))
% 15.81/16.03  (step @p369 :rule cnf_or_pos :args (@t239))
% 15.81/16.03  (step @p370 :rule reordering :premises (@p369) :args ((or @t112 @t231 (not @t239))))
% 15.81/16.03  (step @p371 :rule chain_m_resolution :premises (@p370 @p368 @p366) :args (@t231 @t225 (@list @t38 @t239)))
% 15.81/16.03  (step @p372 :rule cnf_or_pos :args (@t238))
% 15.81/16.03  (step @p373 :rule factoring :premises (@p372))
% 15.81/16.03  (step @p374 :rule reordering :premises (@p373) :args ((or @t112 @t218 @t232 @t237 (not @t238))))
% 15.81/16.03  (step @p375 :rule chain_m_resolution :premises (@p374 @p368 @p331 @p371 @p365) :args (@t237 (@list false false false false) (@list @t38 @t215 @t231 @t238)))
% 15.81/16.03  (step @p376 :rule bool-double-not-elim :args (@t236))
% 15.81/16.03  (step @p377 :rule refl :args (@t240))
% 15.81/16.03  (step @p378 :rule refl :args (@t241))
% 15.81/16.03  (step @p379 :rule nary_cong :premises (@p378 @p377 @p376) :args ((or @t241 @t240 (not @t237))))
% 15.81/16.03  (assume-push @p411 @t237)
% 15.81/16.03  (assume-push @p412 @t236)
% 15.81/16.03  (step @p382 :rule evaluate :args ((= true false)))
% 15.81/16.03  (step @p383 :rule false_intro :premises (@p375))
% 15.81/16.03  (step @p384 :rule refl :args (tptp.nil))
% 15.81/16.03  (step @p385 :rule cong :premises (@p334 @p384) :args (@t227))
% 15.81/16.03  (step @p386 :rule chain_m_resolution :premises (@p344 @p331 @p342) :args (@t228 @t225 @t230))
% 15.81/16.03  (step @p387 :rule trans :premises (@p386 @p385))
% 15.81/16.03  (step @p388 :rule true_intro :premises (@p387))
% 15.81/16.03  (step @p389 :rule symm :premises (@p388))
% 15.81/16.03  (step @p390 :rule trans :premises (@p389 @p383))
% 15.81/16.03  (step @p391 false :rule eq_resolve :premises (@p390 @p382))
% 15.81/16.03  (step-pop @p413 :rule scope :premises (@p391))
% 15.81/16.03  (step-pop @p414 :rule scope :premises (@p413))
% 15.81/16.03  (step @p392 :rule process_scope :premises (@p414) :args (false))
% 15.81/16.03  (assume-push @p415 @t223)
% 15.81/16.03  (assume-push @p416 @t228)
% 15.81/16.03  (assume-push @p417 @t237)
% 15.81/16.03  (step @p384 :rule refl :args (tptp.nil))
% 15.81/16.03  (step @p385 :rule cong :premises (@p334 @p384) :args (@t227))
% 15.81/16.03  (step @p398 :rule trans :premises (@p345 @p385))
% 15.81/16.03  (step @p399 :rule and_intro :premises (@p375 @p398))
% 15.81/16.03  (step-pop @p418 :rule scope :premises (@p399))
% 15.81/16.03  (step-pop @p419 :rule scope :premises (@p418))
% 15.81/16.03  (step-pop @p420 :rule scope :premises (@p419))
% 15.81/16.03  (step @p400 :rule process_scope :premises (@p420) :args (@t242))
% 15.81/16.03  (step @p404 :rule implies_elim :premises (@p400))
% 15.81/16.03  (step @p405 :rule resolution :premises (@p404 @p392) :args (true @t242))
% 15.81/16.03  (step @p406 :rule not_and :premises (@p405))
% 15.81/16.03  (step @p407 :rule eq_resolve :premises (@p406 @p379))
% 15.81/16.03  (step @p408 false :rule chain_m_resolution :premises (@p407 @p375 @p345 @p334) :args (false (@list true false false) (@list @t236 @t228 @t223)))
% 15.81/16.03  )
% 15.81/16.03  % SZS output end Proof
% 15.81/16.03  % cvc5 exiting
%------------------------------------------------------------------------------