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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWC054+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 : n024.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 08:57:52 AM UTC 2026

% Result   : Theorem 0.24s 0.45s
% Output   : Proof 0.24s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : SWC054+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.07  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.25  % Computer : n024.cluster.edu
% 0.07/0.25  % Model    : x86_64 x86_64
% 0.07/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25  % Memory   : 8042.1875MB
% 0.07/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25  % CPULimit : 300
% 0.07/0.25  % WCLimit  : 300
% 0.07/0.25  % DateTime : Tue Jun  2 14:11:30 EDT 2026
% 0.07/0.25  % CPUTime  : 
% 0.16/0.34  %----Proving TF0_NAR, FOF, or CNF
% 0.24/0.45  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.24/0.45  % SZS status Theorem
% 0.24/0.45  % SZS output start Proof
% 0.24/0.45  (
% 0.24/0.45  (declare-sort $$unsorted 0)
% 0.24/0.45  (declare-const tptp.tl (-> $$unsorted $$unsorted))
% 0.24/0.45  (declare-const tptp.hd (-> $$unsorted $$unsorted))
% 0.24/0.45  (declare-const tptp.duplicatefreeP (-> $$unsorted Bool))
% 0.24/0.45  (declare-const tptp.strictorderedP (-> $$unsorted Bool))
% 0.24/0.45  (declare-const tptp.geq (-> $$unsorted $$unsorted Bool))
% 0.24/0.45  (declare-const tptp.strictorderP (-> $$unsorted Bool))
% 0.24/0.45  (declare-const tptp.equalelemsP (-> $$unsorted Bool))
% 0.24/0.45  (declare-const tptp.totalorderP (-> $$unsorted Bool))
% 0.24/0.45  (declare-const tptp.neq (-> $$unsorted $$unsorted Bool))
% 0.24/0.45  (declare-const tptp.totalorderedP (-> $$unsorted Bool))
% 0.24/0.45  (declare-const tptp.singletonP (-> $$unsorted Bool))
% 0.24/0.45  (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted))
% 0.24/0.45  (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted))
% 0.24/0.45  (declare-const tptp.nil $$unsorted)
% 0.24/0.45  (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool))
% 0.24/0.45  (declare-const tptp.lt (-> $$unsorted $$unsorted Bool))
% 0.24/0.45  (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool))
% 0.24/0.45  (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool))
% 0.24/0.45  (declare-const tptp.gt (-> $$unsorted $$unsorted Bool))
% 0.24/0.45  (declare-const tptp.ssList (-> $$unsorted Bool))
% 0.24/0.45  (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool))
% 0.24/0.45  (declare-const tptp.cyclefreeP (-> $$unsorted Bool))
% 0.24/0.45  (declare-const tptp.ssItem (-> $$unsorted Bool))
% 0.24/0.45  (declare-const tptp.leq (-> $$unsorted $$unsorted Bool))
% 0.24/0.45  (define @t1 () (@var "V" $$unsorted))
% 0.24/0.45  (define @t2 () (@var "U" $$unsorted))
% 0.24/0.45  (define @t3 () (= @t2 @t1))
% 0.24/0.45  (define @t4 () (not @t3))
% 0.24/0.45  (define @t5 () (= (tptp.neq @t2 @t1) @t4))
% 0.24/0.45  (define @t6 () (tptp.ssItem @t1))
% 0.24/0.45  (define @t7 () (@list @t1))
% 0.24/0.45  (define @t8 () (tptp.ssItem @t2))
% 0.24/0.45  (define @t9 () (@list @t2))
% 0.24/0.45  (define @t10 () (@var "X" $$unsorted))
% 0.24/0.45  (define @t11 () (tptp.cons @t1 @t10))
% 0.24/0.45  (define @t12 () (@var "W" $$unsorted))
% 0.24/0.45  (define @t13 () (tptp.ssList @t10))
% 0.24/0.45  (define @t14 () (@list @t10))
% 0.24/0.45  (define @t15 () (tptp.ssList @t12))
% 0.24/0.45  (define @t16 () (@list @t12))
% 0.24/0.45  (define @t17 () (tptp.ssList @t2))
% 0.24/0.45  (define @t18 () (tptp.cons @t1 tptp.nil))
% 0.24/0.45  (define @t19 () (tptp.app @t1 @t12))
% 0.24/0.45  (define @t20 () (tptp.frontsegP @t2 @t1))
% 0.24/0.45  (define @t21 () (tptp.ssList @t1))
% 0.24/0.45  (define @t22 () (tptp.app @t12 @t1))
% 0.24/0.45  (define @t23 () (tptp.rearsegP @t2 @t1))
% 0.24/0.45  (define @t24 () (tptp.segmentP @t2 @t1))
% 0.24/0.45  (define @t25 () (tptp.leq @t12 @t1))
% 0.24/0.45  (define @t26 () (tptp.leq @t1 @t12))
% 0.24/0.45  (define @t27 () (@var "Z" $$unsorted))
% 0.24/0.45  (define @t28 () (@var "Y" $$unsorted))
% 0.24/0.45  (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2))
% 0.24/0.45  (define @t30 () (tptp.ssList @t27))
% 0.24/0.45  (define @t31 () (@list @t27))
% 0.24/0.45  (define @t32 () (tptp.ssList @t28))
% 0.24/0.45  (define @t33 () (@list @t28))
% 0.24/0.45  (define @t34 () (tptp.ssItem @t12))
% 0.24/0.45  (define @t35 () (tptp.lt @t1 @t12))
% 0.24/0.45  (define @t36 () (= @t1 @t12))
% 0.24/0.45  (define @t37 () (tptp.cons @t1 @t2))
% 0.24/0.45  (define @t38 () (= @t1 @t2))
% 0.24/0.45  (define @t39 () (tptp.cons @t12 @t1))
% 0.24/0.45  (define @t40 () (= tptp.nil @t2))
% 0.24/0.45  (define @t41 () (tptp.hd @t2))
% 0.24/0.45  (define @t42 () (not @t40))
% 0.24/0.45  (define @t43 () (tptp.tl @t2))
% 0.24/0.45  (define @t44 () (tptp.app @t2 @t1))
% 0.24/0.45  (define @t45 () (tptp.app @t1 @t2))
% 0.24/0.45  (define @t46 () (tptp.leq @t1 @t2))
% 0.24/0.45  (define @t47 () (tptp.leq @t2 @t1))
% 0.24/0.45  (define @t48 () (tptp.geq @t2 @t1))
% 0.24/0.45  (define @t49 () (tptp.lt @t1 @t2))
% 0.24/0.45  (define @t50 () (tptp.lt @t2 @t1))
% 0.24/0.45  (define @t51 () (tptp.lt @t2 @t12))
% 0.24/0.45  (define @t52 () (tptp.gt @t2 @t1))
% 0.24/0.45  (define @t53 () (tptp.memberP @t12 @t2))
% 0.24/0.45  (define @t54 () (tptp.app @t12 @t2))
% 0.24/0.45  (define @t55 () (tptp.cons @t2 tptp.nil))
% 0.24/0.45  (define @t56 () (tptp.hd @t1))
% 0.24/0.45  (define @t57 () (= tptp.nil @t1))
% 0.24/0.45  (define @t58 () (not @t57))
% 0.24/0.45  (define @t59 () (tptp.cons @t2 @t1))
% 0.24/0.45  (define @t60 () (= @t12 @t2))
% 0.24/0.45  (define @t61 () (tptp.segmentP @t2 @t27))
% 0.24/0.45  (define @t62 () (tptp.segmentP @t1 @t27))
% 0.24/0.45  (define @t63 () (tptp.neq @t27 tptp.nil))
% 0.24/0.45  (define @t64 () (and @t30 @t63 @t62 @t61))
% 0.24/0.45  (define @t65 () (exists @t31 @t64))
% 0.24/0.45  (define @t66 () (tptp.neq @t1 tptp.nil))
% 0.24/0.45  (define @t67 () (not @t66))
% 0.24/0.45  (define @t68 () (or @t67 @t65))
% 0.24/0.45  (define @t69 () (or @t58 @t40))
% 0.24/0.45  (define @t70 () (and @t69 @t68))
% 0.24/0.45  (define @t71 () (tptp.neq @t10 tptp.nil))
% 0.24/0.45  (define @t72 () (and (forall @t33 (or (not @t32) (not (tptp.neq @t28 tptp.nil)) (not (tptp.segmentP @t10 @t28)) (not (tptp.segmentP @t12 @t28)))) @t71))
% 0.24/0.45  (define @t73 () (not (= tptp.nil @t12)))
% 0.24/0.45  (define @t74 () (and @t73 (= tptp.nil @t10)))
% 0.24/0.45  (define @t75 () (not (= @t2 @t12)))
% 0.24/0.45  (define @t76 () (not (= @t1 @t10)))
% 0.24/0.45  (define @t77 () (not @t13))
% 0.24/0.45  (define @t78 () (or @t77 @t76 @t75 @t74 @t72 @t70))
% 0.24/0.45  (define @t79 () (forall @t14 @t78))
% 0.24/0.45  (define @t80 () (=> @t15 @t79))
% 0.24/0.45  (define @t81 () (forall @t16 @t80))
% 0.24/0.45  (define @t82 () (=> @t21 @t81))
% 0.24/0.45  (define @t83 () (forall @t7 @t82))
% 0.24/0.45  (define @t84 () (=> @t17 @t83))
% 0.24/0.45  (define @t85 () (forall @t9 @t84))
% 0.24/0.45  (define @t86 () (not @t85))
% 0.24/0.45  (define @t87 () (@var "BOUND_VARIABLE_11083" $$unsorted))
% 0.24/0.45  (define @t88 () (tptp.neq @t87 tptp.nil))
% 0.24/0.45  (define @t89 () (@var "BOUND_VARIABLE_11085" $$unsorted))
% 0.24/0.45  (define @t90 () (and (or (not (tptp.ssList @t89)) (not (tptp.neq @t89 tptp.nil)) (not (tptp.segmentP @t87 @t89)) (not (tptp.segmentP @t2 @t89))) @t88))
% 0.24/0.45  (define @t91 () (= @t2 tptp.nil))
% 0.24/0.45  (define @t92 () (not @t91))
% 0.24/0.45  (define @t93 () (= @t87 tptp.nil))
% 0.24/0.45  (define @t94 () (and @t92 @t93))
% 0.24/0.45  (define @t95 () (not @t61))
% 0.24/0.45  (define @t96 () (not @t63))
% 0.24/0.45  (define @t97 () (not @t30))
% 0.24/0.45  (define @t98 () (or (not @t88) (not (forall @t31 (or @t97 @t96 (not (tptp.segmentP @t87 @t27)) @t95)))))
% 0.24/0.45  (define @t99 () (not @t93))
% 0.24/0.45  (define @t100 () (or @t99 @t91))
% 0.24/0.45  (define @t101 () (and @t100 @t98))
% 0.24/0.45  (define @t102 () (not (tptp.ssList @t87)))
% 0.24/0.45  (define @t103 () (not @t17))
% 0.24/0.45  (define @t104 () (or @t103 @t102 @t101 @t94 @t90))
% 0.24/0.45  (define @t105 () (or @t102 @t101 @t94 @t90))
% 0.24/0.45  (define @t106 () (or @t103 @t105))
% 0.24/0.45  (define @t107 () (@list @t2 @t87 @t89))
% 0.24/0.45  (define @t108 () (forall @t107 @t106))
% 0.24/0.45  (define @t109 () (@list @t87 @t89))
% 0.24/0.45  (define @t110 () (forall @t109 @t106))
% 0.24/0.45  (define @t111 () (forall @t109 @t105))
% 0.24/0.45  (define @t112 () (@var "BOUND_VARIABLE_11064" $$unsorted))
% 0.24/0.45  (define @t113 () (or @t103 @t111))
% 0.24/0.45  (define @t114 () (or (not (tptp.ssList @t112)) (not (tptp.neq @t112 tptp.nil)) (not (tptp.segmentP @t1 @t112)) (not (tptp.segmentP @t2 @t112))))
% 0.24/0.45  (define @t115 () (and @t114 @t66))
% 0.24/0.45  (define @t116 () (= @t1 tptp.nil))
% 0.24/0.45  (define @t117 () (and @t92 @t116))
% 0.24/0.45  (define @t118 () (not @t62))
% 0.24/0.45  (define @t119 () (or @t97 @t96 @t118 @t95))
% 0.24/0.45  (define @t120 () (and (or (not @t116) @t91) (or @t67 (not (forall @t31 @t119)))))
% 0.24/0.45  (define @t121 () (not @t21))
% 0.24/0.45  (define @t122 () (or @t121 @t120 @t117 @t115))
% 0.24/0.45  (define @t123 () (forall (@list @t1 @t112) @t122))
% 0.24/0.45  (define @t124 () (or @t103 @t123))
% 0.24/0.45  (define @t125 () (@list @t112))
% 0.24/0.45  (define @t126 () (forall @t125 @t122))
% 0.24/0.45  (define @t127 () (forall @t125 @t66))
% 0.24/0.45  (define @t128 () (forall @t125 @t114))
% 0.24/0.45  (define @t129 () (@var "BOUND_VARIABLE_11038" $$unsorted))
% 0.24/0.45  (define @t130 () (@list @t129))
% 0.24/0.45  (define @t131 () (and @t128 @t127))
% 0.24/0.45  (define @t132 () (forall @t125 @t115))
% 0.24/0.45  (define @t133 () (or @t121 @t120 @t117 @t132))
% 0.24/0.45  (define @t134 () (and (forall (@list @t129) (or (not (tptp.ssList @t129)) (not (tptp.neq @t129 tptp.nil)) (not (tptp.segmentP @t1 @t129)) (not (tptp.segmentP @t2 @t129)))) @t66))
% 0.24/0.45  (define @t135 () (or @t121 @t120 @t117 @t134))
% 0.24/0.45  (define @t136 () (forall @t7 @t135))
% 0.24/0.45  (define @t137 () (or @t103 @t136))
% 0.24/0.45  (define @t138 () (or @t103 @t135))
% 0.24/0.45  (define @t139 () (or @t121 @t120 @t103 @t117 @t134))
% 0.24/0.45  (define @t140 () (or @t120 @t121 @t103 @t117 @t134))
% 0.24/0.45  (define @t141 () (@var "BOUND_VARIABLE_11008" $$unsorted))
% 0.24/0.45  (define @t142 () (@list @t141))
% 0.24/0.45  (define @t143 () (forall @t142 @t66))
% 0.24/0.45  (define @t144 () (not (tptp.segmentP @t1 @t141)))
% 0.24/0.45  (define @t145 () (not (tptp.neq @t141 tptp.nil)))
% 0.24/0.45  (define @t146 () (not (tptp.ssList @t141)))
% 0.24/0.45  (define @t147 () (or @t146 @t145 @t144 (not (tptp.segmentP @t2 @t141))))
% 0.24/0.45  (define @t148 () (forall @t142 @t147))
% 0.24/0.45  (define @t149 () (@list @t141))
% 0.24/0.45  (define @t150 () (and @t148 @t143))
% 0.24/0.45  (define @t151 () (and @t147 @t66))
% 0.24/0.45  (define @t152 () (forall @t142 @t151))
% 0.24/0.45  (define @t153 () (or @t103 @t117 @t152))
% 0.24/0.45  (define @t154 () (or @t103 @t117 @t151))
% 0.24/0.45  (define @t155 () (not (= @t2 @t2)))
% 0.24/0.45  (define @t156 () (or @t103 @t155 @t117 @t151))
% 0.24/0.45  (define @t157 () (or @t146 @t145 @t144 (not (tptp.segmentP @t12 @t141))))
% 0.24/0.45  (define @t158 () (and @t157 @t66))
% 0.24/0.45  (define @t159 () (not (= @t12 tptp.nil)))
% 0.24/0.45  (define @t160 () (and @t159 @t116))
% 0.24/0.45  (define @t161 () (not @t15))
% 0.24/0.45  (define @t162 () (or @t75 @t161 @t75 @t160 @t158))
% 0.24/0.45  (define @t163 () (or @t161 @t75 @t160 @t158))
% 0.24/0.45  (define @t164 () (forall @t16 @t163))
% 0.24/0.45  (define @t165 () (forall @t142 @t164))
% 0.24/0.45  (define @t166 () (forall (@list @t141 @t12) @t163))
% 0.24/0.45  (define @t167 () (forall (@list @t12 @t141) @t163))
% 0.24/0.45  (define @t168 () (forall @t142 @t163))
% 0.24/0.45  (define @t169 () (forall @t142 @t157))
% 0.24/0.45  (define @t170 () (@var "BOUND_VARIABLE_10982" $$unsorted))
% 0.24/0.45  (define @t171 () (@list @t170))
% 0.24/0.45  (define @t172 () (and @t169 @t143))
% 0.24/0.45  (define @t173 () (forall @t142 @t158))
% 0.24/0.45  (define @t174 () (or @t161 @t75 @t160 @t173))
% 0.24/0.45  (define @t175 () (and (forall (@list @t170) (or (not (tptp.ssList @t170)) (not (tptp.neq @t170 tptp.nil)) (not (tptp.segmentP @t1 @t170)) (not (tptp.segmentP @t12 @t170)))) @t66))
% 0.24/0.45  (define @t176 () (or @t161 @t75 @t160 @t175))
% 0.24/0.45  (define @t177 () (forall @t16 @t176))
% 0.24/0.45  (define @t178 () (or @t120 @t121 @t177))
% 0.24/0.45  (define @t179 () (or @t120 @t121 @t176))
% 0.24/0.45  (define @t180 () (or @t161 @t75 @t120 @t121 @t160 @t175))
% 0.24/0.45  (define @t181 () (or @t75 @t120 @t121 @t160 @t175))
% 0.24/0.45  (define @t182 () (@var "BOUND_VARIABLE_10954" $$unsorted))
% 0.24/0.45  (define @t183 () (@list @t182))
% 0.24/0.45  (define @t184 () (forall @t183 @t66))
% 0.24/0.45  (define @t185 () (not (tptp.segmentP @t12 @t182)))
% 0.24/0.45  (define @t186 () (not (tptp.neq @t182 tptp.nil)))
% 0.24/0.45  (define @t187 () (not (tptp.ssList @t182)))
% 0.24/0.45  (define @t188 () (or @t187 @t186 (not (tptp.segmentP @t1 @t182)) @t185))
% 0.24/0.45  (define @t189 () (forall @t183 @t188))
% 0.24/0.45  (define @t190 () (@list @t182))
% 0.24/0.45  (define @t191 () (and @t189 @t184))
% 0.24/0.45  (define @t192 () (and @t188 @t66))
% 0.24/0.45  (define @t193 () (forall @t183 @t192))
% 0.24/0.45  (define @t194 () (or @t121 @t160 @t193))
% 0.24/0.45  (define @t195 () (or @t121 @t160 @t192))
% 0.24/0.45  (define @t196 () (not (= @t1 @t1)))
% 0.24/0.45  (define @t197 () (or @t121 @t196 @t160 @t192))
% 0.24/0.45  (define @t198 () (or @t187 @t186 (not (tptp.segmentP @t10 @t182)) @t185))
% 0.24/0.45  (define @t199 () (and @t198 @t71))
% 0.24/0.45  (define @t200 () (and @t159 (= @t10 tptp.nil)))
% 0.24/0.45  (define @t201 () (or @t76 @t77 @t76 @t200 @t199))
% 0.24/0.45  (define @t202 () (or @t77 @t76 @t200 @t199))
% 0.24/0.45  (define @t203 () (forall @t14 @t202))
% 0.24/0.45  (define @t204 () (forall @t183 @t203))
% 0.24/0.45  (define @t205 () (forall (@list @t182 @t10) @t202))
% 0.24/0.45  (define @t206 () (forall (@list @t10 @t182) @t202))
% 0.24/0.45  (define @t207 () (forall @t183 @t202))
% 0.24/0.45  (define @t208 () (forall @t183 @t71))
% 0.24/0.45  (define @t209 () (forall @t183 @t198))
% 0.24/0.45  (define @t210 () (and @t209 @t208))
% 0.24/0.45  (define @t211 () (forall @t183 @t199))
% 0.24/0.45  (define @t212 () (or @t77 @t76 @t200 @t211))
% 0.24/0.45  (define @t213 () (or @t77 @t76 @t200 @t72))
% 0.24/0.45  (define @t214 () (forall @t14 @t213))
% 0.24/0.45  (define @t215 () (or @t75 @t120 @t214))
% 0.24/0.45  (define @t216 () (or @t75 @t120 @t213))
% 0.24/0.45  (define @t217 () (or @t77 @t76 @t75 @t200 @t72 @t120))
% 0.24/0.45  (define @t218 () (forall @t31 (not @t64)))
% 0.24/0.45  (define @t219 () (not @t218))
% 0.24/0.45  (define @t220 () (= tptp.nil @t87))
% 0.24/0.45  (define @t221 () (forall @t107 (or @t103 @t102 (and (or (not @t220) @t91) @t98) (and @t92 @t220) @t90)))
% 0.24/0.45  (define @t222 () (@quantifiers_skolemize @t221 1))
% 0.24/0.45  (define @t223 () (tptp.neq @t222 tptp.nil))
% 0.24/0.45  (define @t224 () (@quantifiers_skolemize @t221 2))
% 0.24/0.45  (define @t225 () (@quantifiers_skolemize @t221 0))
% 0.24/0.45  (define @t226 () (or (not (tptp.ssList @t224)) (not (tptp.neq @t224 tptp.nil)) (not (tptp.segmentP @t222 @t224)) (not (tptp.segmentP @t225 @t224))))
% 0.24/0.45  (define @t227 () (and @t226 @t223))
% 0.24/0.45  (define @t228 () (= tptp.nil @t222))
% 0.24/0.45  (define @t229 () (= tptp.nil @t225))
% 0.24/0.45  (define @t230 () (not @t229))
% 0.24/0.45  (define @t231 () (and @t230 @t228))
% 0.24/0.45  (define @t232 () (forall @t31 (or @t97 @t96 (not (tptp.segmentP @t222 @t27)) (not (tptp.segmentP @t225 @t27)))))
% 0.24/0.45  (define @t233 () (not @t232))
% 0.24/0.45  (define @t234 () (not @t223))
% 0.24/0.45  (define @t235 () (or @t234 @t233))
% 0.24/0.45  (define @t236 () (not @t228))
% 0.24/0.45  (define @t237 () (or @t236 @t229))
% 0.24/0.45  (define @t238 () (and @t237 @t235))
% 0.24/0.45  (define @t239 () (not (tptp.ssList @t222)))
% 0.24/0.45  (define @t240 () (not (tptp.ssList @t225)))
% 0.24/0.45  (define @t241 () (or @t240 @t239 @t238 @t231 @t227))
% 0.24/0.45  (define @t242 () (not @t241))
% 0.24/0.45  (define @t243 () (not @t221))
% 0.24/0.45  (define @t244 () (= @t225 tptp.nil))
% 0.24/0.45  (define @t245 () (not @t244))
% 0.24/0.45  (define @t246 () (and @t245 @t228))
% 0.24/0.45  (define @t247 () (or @t236 @t244))
% 0.24/0.45  (define @t248 () (and @t247 @t235))
% 0.24/0.45  (define @t249 () (or @t240 @t239 @t248 @t246 @t227))
% 0.24/0.45  (define @t250 () (not @t249))
% 0.24/0.45  (define @t251 () (@list true))
% 0.24/0.45  (define @t252 () (@list @t241))
% 0.24/0.45  (define @t253 () (@list @t237))
% 0.24/0.45  (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5)))))
% 0.24/0.45  (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4)))))
% 0.24/0.45  (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)))))))))))
% 0.24/0.45  (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2)))))))
% 0.24/0.45  (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2)))))))))
% 0.24/0.45  (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2)))))))))
% 0.24/0.45  (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2)))))))))))
% 0.24/0.45  (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)))))))))))))))))
% 0.24/0.45  (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))))))))))))))))
% 0.24/0.45  (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)))))))))))))))))
% 0.24/0.45  (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)))))))))))))))
% 0.24/0.45  (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)))))))))))))))
% 0.24/0.45  (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))))))))))))))))
% 0.24/0.45  (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)))))))))))))
% 0.24/0.45  (assume @p15 (forall @t9 (=> @t17 (forall @t7 (=> @t21 @t5)))))
% 0.24/0.45  (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t37))))))
% 0.24/0.45  (assume @p17 (tptp.ssList tptp.nil))
% 0.24/0.45  (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t37 @t2)))))))
% 0.24/0.45  (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) @t38)))))))))))
% 0.24/0.45  (assume @p20 (forall @t9 (=> @t17 (or @t40 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t39 @t2)))))))))
% 0.24/0.45  (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t37)))))))
% 0.24/0.45  (assume @p22 (forall @t9 (=> @t17 (=> @t42 (tptp.ssItem @t41)))))
% 0.24/0.45  (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t37) @t1))))))
% 0.24/0.45  (assume @p24 (forall @t9 (=> @t17 (=> @t42 (tptp.ssList @t43)))))
% 0.24/0.45  (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t37) @t2))))))
% 0.24/0.45  (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t44))))))
% 0.24/0.45  (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t45) (tptp.app @t39 @t2)))))))))
% 0.24/0.45  (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2))))
% 0.24/0.45  (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t47 @t46) @t3))))))
% 0.24/0.45  (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t26) (tptp.leq @t2 @t12)))))))))
% 0.24/0.45  (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2))))
% 0.24/0.45  (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t48 @t46))))))
% 0.24/0.45  (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t50 (not @t49)))))))
% 0.24/0.45  (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t50 @t35) @t51))))))))
% 0.24/0.45  (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t52 @t49))))))
% 0.24/0.45  (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t53)))))))))
% 0.24/0.45  (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t53)))))))))
% 0.24/0.45  (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2)))))
% 0.24/0.45  (assume @p39 (not (tptp.singletonP tptp.nil)))
% 0.24/0.45  (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12)))))))))
% 0.24/0.45  (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3))))))
% 0.24/0.45  (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2))))
% 0.24/0.45  (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1)))))))))
% 0.24/0.45  (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))))))))))))
% 0.24/0.45  (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil))))
% 0.24/0.45  (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t40))))
% 0.24/0.45  (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12)))))))))
% 0.24/0.45  (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3))))))
% 0.24/0.45  (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2))))
% 0.24/0.45  (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t54 @t1)))))))))
% 0.24/0.45  (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil))))
% 0.24/0.45  (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t40))))
% 0.24/0.45  (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12)))))))))
% 0.24/0.45  (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3))))))
% 0.24/0.45  (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2))))
% 0.24/0.45  (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t54 @t10) @t1)))))))))))
% 0.24/0.45  (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil))))
% 0.24/0.45  (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t40))))
% 0.24/0.45  (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t55))))
% 0.24/0.45  (assume @p60 (tptp.cyclefreeP tptp.nil))
% 0.24/0.45  (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t55))))
% 0.24/0.45  (assume @p62 (tptp.totalorderP tptp.nil))
% 0.24/0.45  (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t55))))
% 0.24/0.45  (assume @p64 (tptp.strictorderP tptp.nil))
% 0.24/0.45  (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t55))))
% 0.24/0.45  (assume @p66 (tptp.totalorderedP tptp.nil))
% 0.24/0.45  (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t59) (or @t57 (and @t58 (tptp.totalorderedP @t1) (tptp.leq @t2 @t56)))))))))
% 0.24/0.45  (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t55))))
% 0.24/0.45  (assume @p69 (tptp.strictorderedP tptp.nil))
% 0.24/0.45  (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t59) (or @t57 (and @t58 (tptp.strictorderedP @t1) (tptp.lt @t2 @t56)))))))))
% 0.24/0.45  (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t55))))
% 0.24/0.45  (assume @p72 (tptp.duplicatefreeP tptp.nil))
% 0.24/0.45  (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t55))))
% 0.24/0.45  (assume @p74 (tptp.equalelemsP tptp.nil))
% 0.24/0.45  (assume @p75 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t6 (= @t41 @t1)))))))
% 0.24/0.45  (assume @p76 (forall @t9 (=> @t17 (=> @t42 (exists @t7 (and @t21 (= @t43 @t1)))))))
% 0.24/0.45  (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t58 @t42 (= @t56 @t41) (= (tptp.tl @t1) @t43)) @t38))))))
% 0.24/0.45  (assume @p78 (forall @t9 (=> @t17 (=> @t42 (= (tptp.cons @t41 @t43) @t2)))))
% 0.24/0.45  (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t44) @t60))))))))
% 0.24/0.45  (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t45) @t60))))))))
% 0.24/0.45  (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t37 (tptp.app @t18 @t2)))))))
% 0.24/0.45  (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t44 @t12) (tptp.app @t2 @t19)))))))))
% 0.24/0.45  (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t44) (and @t57 @t40)))))))
% 0.24/0.45  (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2))))
% 0.24/0.45  (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.hd @t44) @t41)))))))
% 0.24/0.45  (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t42 (= (tptp.tl @t44) (tptp.app @t43 @t1))))))))
% 0.24/0.45  (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t48 (tptp.geq @t1 @t2)) @t3))))))
% 0.24/0.45  (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t48 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12)))))))))
% 0.24/0.45  (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2))))
% 0.24/0.45  (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2)))))
% 0.24/0.45  (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t47 @t35) @t51))))))))
% 0.24/0.45  (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t47 (or @t3 @t50)))))))
% 0.24/0.45  (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t50 (and @t4 @t47)))))))
% 0.24/0.45  (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (not (tptp.gt @t1 @t2))))))))
% 0.24/0.45  (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12)))))))))
% 0.24/0.45  (assume @p96 @t86)
% 0.24/0.45  (assume @p97 true)
% 0.24/0.45  (step @p98 :rule refl :args (@t90))
% 0.24/0.45  (step @p99 :rule eq-symm :args (@t87 tptp.nil))
% 0.24/0.45  (step @p100 :rule refl :args (@t92))
% 0.24/0.45  (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t94))
% 0.24/0.45  (step @p102 :rule refl :args (@t98))
% 0.24/0.45  (step @p103 :rule refl :args (@t91))
% 0.24/0.45  (step @p104 :rule cong :premises (@p99) :args (@t99))
% 0.24/0.45  (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t100))
% 0.24/0.45  (step @p106 :rule nary_cong :premises (@p105 @p102) :args (@t101))
% 0.24/0.45  (step @p107 :rule refl :args (@t102))
% 0.24/0.45  (step @p108 :rule refl :args (@t103))
% 0.24/0.45  (step @p109 :rule nary_cong :premises (@p108 @p107 @p106 @p101 @p98) :args (@t104))
% 0.24/0.45  (step @p110 :rule aci_norm :args ((= @t106 @t104)))
% 0.24/0.45  (step @p111 :rule trans :premises (@p110 @p109))
% 0.24/0.45  (step @p112 :rule cong :premises (@p111) :args (@t108))
% 0.24/0.45  (step @p113 :rule quant-merge-prenex :args ((= (forall @t9 @t110) @t108)))
% 0.24/0.45  (step @p114 :rule alpha_equiv :args (@t111 (@list @t87 @t89) (@list @t1 @t112)))
% 0.24/0.45  (step @p115 :rule refl :args (@t103))
% 0.24/0.45  (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t113))
% 0.24/0.45  (step @p117 :rule quant-miniscope-or :args ((= @t110 @t113)))
% 0.24/0.45  (step @p118 :rule trans :premises (@p117 @p116))
% 0.24/0.45  (step @p119 :rule symm :premises (@p118))
% 0.24/0.45  (step @p120 :rule cong :premises (@p119) :args ((forall @t9 @t124)))
% 0.24/0.45  (step @p121 :rule trans :premises (@p120 @p113))
% 0.24/0.45  (step @p122 :rule trans :premises (@p121 @p112))
% 0.24/0.45  (step @p123 :rule aci_norm :args ((= (or @t103 @t124) @t124)))
% 0.24/0.45  (step @p124 :rule bool-impl-elim :args (@t17 @t124))
% 0.24/0.45  (step @p125 :rule trans :premises (@p124 @p123))
% 0.24/0.45  (step @p126 :rule cong :premises (@p125) :args ((forall @t9 (=> @t17 @t124))))
% 0.24/0.45  (step @p127 :rule trans :premises (@p126 @p122))
% 0.24/0.45  (step @p128 :rule quant-merge-prenex :args ((= (forall @t7 @t126) @t123)))
% 0.24/0.45  (step @p129 :rule quant-unused-vars :args ((= @t127 @t66)))
% 0.24/0.45  (step @p130 :rule alpha_equiv :args (@t128 (@list @t112) @t130))
% 0.24/0.45  (step @p131 :rule nary_cong :premises (@p130 @p129) :args (@t131))
% 0.24/0.45  (step @p132 :rule quant-miniscope-and :args ((= @t132 @t131)))
% 0.24/0.45  (step @p133 :rule trans :premises (@p132 @p131))
% 0.24/0.45  (step @p134 :rule refl :args (@t117))
% 0.24/0.45  (step @p135 :rule refl :args (@t120))
% 0.24/0.45  (step @p136 :rule refl :args (@t121))
% 0.24/0.45  (step @p137 :rule nary_cong :premises (@p136 @p135 @p134 @p133) :args (@t133))
% 0.24/0.45  (step @p138 :rule quant-miniscope-or :args ((= @t126 @t133)))
% 0.24/0.45  (step @p139 :rule trans :premises (@p138 @p137))
% 0.24/0.45  (step @p140 :rule symm :premises (@p139))
% 0.24/0.45  (step @p141 :rule cong :premises (@p140) :args (@t136))
% 0.24/0.45  (step @p142 :rule trans :premises (@p141 @p128))
% 0.24/0.45  (step @p143 :rule nary_cong :premises (@p108 @p142) :args (@t137))
% 0.24/0.45  (step @p144 :rule quant-miniscope-or :args ((= (forall @t7 @t138) @t137)))
% 0.24/0.45  (step @p145 :rule aci_norm :args ((= @t139 @t138)))
% 0.24/0.45  (step @p146 :rule cong :premises (@p145) :args ((forall @t7 @t139)))
% 0.24/0.45  (step @p147 :rule trans :premises (@p146 @p144))
% 0.24/0.45  (step @p148 :rule trans :premises (@p147 @p143))
% 0.24/0.45  (step @p149 :rule aci_norm :args ((= (or @t121 @t140) @t139)))
% 0.24/0.45  (step @p150 :rule bool-impl-elim :args (@t21 @t140))
% 0.24/0.45  (step @p151 :rule trans :premises (@p150 @p149))
% 0.24/0.45  (step @p152 :rule cong :premises (@p151) :args ((forall @t7 (=> @t21 @t140))))
% 0.24/0.45  (step @p153 :rule trans :premises (@p152 @p148))
% 0.24/0.45  (step @p154 :rule aci_norm :args ((= (or @t120 @t121 (or @t103 @t117 @t134)) @t140)))
% 0.24/0.45  (step @p155 :rule quant-unused-vars :args ((= @t143 @t66)))
% 0.24/0.45  (step @p156 :rule alpha_equiv :args (@t148 @t149 @t130))
% 0.24/0.45  (step @p157 :rule nary_cong :premises (@p156 @p155) :args (@t150))
% 0.24/0.45  (step @p158 :rule quant-miniscope-and :args ((= @t152 @t150)))
% 0.24/0.45  (step @p159 :rule trans :premises (@p158 @p157))
% 0.24/0.45  (step @p160 :rule refl :args (@t117))
% 0.24/0.45  (step @p161 :rule nary_cong :premises (@p108 @p160 @p159) :args (@t153))
% 0.24/0.45  (step @p162 :rule quant-miniscope-or :args ((= (forall @t142 @t154) @t153)))
% 0.24/0.45  (step @p163 :rule trans :premises (@p162 @p161))
% 0.24/0.45  (step @p164 :rule aci_norm :args ((= (or @t103 false @t117 @t151) @t154)))
% 0.24/0.45  (step @p165 :rule refl :args (@t151))
% 0.24/0.45  (step @p166 :rule evaluate :args ((not true)))
% 0.24/0.45  (step @p167 :rule eq-refl :args (@t2))
% 0.24/0.45  (step @p168 :rule cong :premises (@p167) :args (@t155))
% 0.24/0.45  (step @p169 :rule trans :premises (@p168 @p166))
% 0.24/0.45  (step @p170 :rule nary_cong :premises (@p108 @p169 @p160 @p165) :args (@t156))
% 0.24/0.45  (step @p171 :rule trans :premises (@p170 @p164))
% 0.24/0.45  (step @p172 :rule cong :premises (@p171) :args ((forall @t142 @t156)))
% 0.24/0.45  (step @p173 :rule trans :premises (@p172 @p163))
% 0.24/0.45  (step @p174 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t60) @t161 @t75 @t160 @t158)) @t156)))
% 0.24/0.45  (step @p175 :rule refl :args (@t158))
% 0.24/0.45  (step @p176 :rule refl :args (@t160))
% 0.24/0.45  (step @p177 :rule refl :args (@t75))
% 0.24/0.45  (step @p178 :rule refl :args (@t161))
% 0.24/0.45  (step @p179 :rule eq-symm :args (@t2 @t12))
% 0.24/0.45  (step @p180 :rule cong :premises (@p179) :args (@t75))
% 0.24/0.45  (step @p181 :rule nary_cong :premises (@p180 @p178 @p177 @p176 @p175) :args (@t162))
% 0.24/0.45  (step @p182 :rule aci_norm :args ((= @t163 @t162)))
% 0.24/0.45  (step @p183 :rule trans :premises (@p182 @p181))
% 0.24/0.45  (step @p184 :rule cong :premises (@p183) :args (@t164))
% 0.24/0.45  (step @p185 :rule trans :premises (@p184 @p174))
% 0.24/0.45  (step @p186 :rule cong :premises (@p185) :args (@t165))
% 0.24/0.45  (step @p187 :rule quant-merge-prenex :args ((= @t165 @t166)))
% 0.24/0.45  (step @p188 :rule symm :premises (@p187))
% 0.24/0.45  (step @p189 :rule quant_var_reordering :args ((= @t167 @t166)))
% 0.24/0.45  (step @p190 :rule trans :premises (@p189 @p188 @p186))
% 0.24/0.45  (step @p191 :rule trans :premises (@p190 @p173))
% 0.24/0.45  (step @p192 :rule quant-merge-prenex :args ((= (forall @t16 @t168) @t167)))
% 0.24/0.45  (step @p193 :rule alpha_equiv :args (@t169 @t149 @t171))
% 0.24/0.45  (step @p194 :rule nary_cong :premises (@p193 @p155) :args (@t172))
% 0.24/0.45  (step @p195 :rule quant-miniscope-and :args ((= @t173 @t172)))
% 0.24/0.45  (step @p196 :rule trans :premises (@p195 @p194))
% 0.24/0.45  (step @p197 :rule nary_cong :premises (@p178 @p177 @p176 @p196) :args (@t174))
% 0.24/0.45  (step @p198 :rule quant-miniscope-or :args ((= @t168 @t174)))
% 0.24/0.45  (step @p199 :rule trans :premises (@p198 @p197))
% 0.24/0.45  (step @p200 :rule symm :premises (@p199))
% 0.24/0.45  (step @p201 :rule cong :premises (@p200) :args (@t177))
% 0.24/0.45  (step @p202 :rule trans :premises (@p201 @p192))
% 0.24/0.45  (step @p203 :rule trans :premises (@p202 @p191))
% 0.24/0.45  (step @p204 :rule refl :args (@t121))
% 0.24/0.45  (step @p205 :rule refl :args (@t120))
% 0.24/0.45  (step @p206 :rule nary_cong :premises (@p205 @p204 @p203) :args (@t178))
% 0.24/0.45  (step @p207 :rule trans :premises (@p206 @p154))
% 0.24/0.45  (step @p208 :rule quant-miniscope-or :args ((= (forall @t16 @t179) @t178)))
% 0.24/0.45  (step @p209 :rule aci_norm :args ((= @t180 @t179)))
% 0.24/0.45  (step @p210 :rule cong :premises (@p209) :args ((forall @t16 @t180)))
% 0.24/0.45  (step @p211 :rule trans :premises (@p210 @p208))
% 0.24/0.45  (step @p212 :rule trans :premises (@p211 @p207))
% 0.24/0.45  (step @p213 :rule aci_norm :args ((= (or @t161 @t181) @t180)))
% 0.24/0.45  (step @p214 :rule bool-impl-elim :args (@t15 @t181))
% 0.24/0.45  (step @p215 :rule trans :premises (@p214 @p213))
% 0.24/0.45  (step @p216 :rule cong :premises (@p215) :args ((forall @t16 (=> @t15 @t181))))
% 0.24/0.45  (step @p217 :rule trans :premises (@p216 @p212))
% 0.24/0.45  (step @p218 :rule aci_norm :args ((= (or @t75 @t120 (or @t121 @t160 @t175)) @t181)))
% 0.24/0.45  (step @p219 :rule quant-unused-vars :args ((= @t184 @t66)))
% 0.24/0.45  (step @p220 :rule alpha_equiv :args (@t189 @t190 @t171))
% 0.24/0.45  (step @p221 :rule nary_cong :premises (@p220 @p219) :args (@t191))
% 0.24/0.45  (step @p222 :rule quant-miniscope-and :args ((= @t193 @t191)))
% 0.24/0.45  (step @p223 :rule trans :premises (@p222 @p221))
% 0.24/0.45  (step @p224 :rule refl :args (@t160))
% 0.24/0.45  (step @p225 :rule nary_cong :premises (@p204 @p224 @p223) :args (@t194))
% 0.24/0.45  (step @p226 :rule quant-miniscope-or :args ((= (forall @t183 @t195) @t194)))
% 0.24/0.45  (step @p227 :rule trans :premises (@p226 @p225))
% 0.24/0.45  (step @p228 :rule aci_norm :args ((= (or @t121 false @t160 @t192) @t195)))
% 0.24/0.45  (step @p229 :rule refl :args (@t192))
% 0.24/0.45  (step @p230 :rule eq-refl :args (@t1))
% 0.24/0.45  (step @p231 :rule cong :premises (@p230) :args (@t196))
% 0.24/0.45  (step @p232 :rule trans :premises (@p231 @p166))
% 0.24/0.45  (step @p233 :rule nary_cong :premises (@p204 @p232 @p224 @p229) :args (@t197))
% 0.24/0.45  (step @p234 :rule trans :premises (@p233 @p228))
% 0.24/0.45  (step @p235 :rule cong :premises (@p234) :args ((forall @t183 @t197)))
% 0.24/0.45  (step @p236 :rule trans :premises (@p235 @p227))
% 0.24/0.45  (step @p237 :rule quant-var-elim-eq :args ((= (forall @t14 (or (not (= @t10 @t1)) @t77 @t76 @t200 @t199)) @t197)))
% 0.24/0.45  (step @p238 :rule refl :args (@t199))
% 0.24/0.45  (step @p239 :rule refl :args (@t200))
% 0.24/0.45  (step @p240 :rule refl :args (@t76))
% 0.24/0.45  (step @p241 :rule refl :args (@t77))
% 0.24/0.45  (step @p242 :rule eq-symm :args (@t1 @t10))
% 0.24/0.45  (step @p243 :rule cong :premises (@p242) :args (@t76))
% 0.24/0.45  (step @p244 :rule nary_cong :premises (@p243 @p241 @p240 @p239 @p238) :args (@t201))
% 0.24/0.45  (step @p245 :rule aci_norm :args ((= @t202 @t201)))
% 0.24/0.45  (step @p246 :rule trans :premises (@p245 @p244))
% 0.24/0.45  (step @p247 :rule cong :premises (@p246) :args (@t203))
% 0.24/0.45  (step @p248 :rule trans :premises (@p247 @p237))
% 0.24/0.45  (step @p249 :rule cong :premises (@p248) :args (@t204))
% 0.24/0.45  (step @p250 :rule quant-merge-prenex :args ((= @t204 @t205)))
% 0.24/0.45  (step @p251 :rule symm :premises (@p250))
% 0.24/0.45  (step @p252 :rule quant_var_reordering :args ((= @t206 @t205)))
% 0.24/0.45  (step @p253 :rule trans :premises (@p252 @p251 @p249))
% 0.24/0.45  (step @p254 :rule trans :premises (@p253 @p236))
% 0.24/0.45  (step @p255 :rule quant-merge-prenex :args ((= (forall @t14 @t207) @t206)))
% 0.24/0.45  (step @p256 :rule quant-unused-vars :args ((= @t208 @t71)))
% 0.24/0.45  (step @p257 :rule alpha_equiv :args (@t209 @t190 (@list @t28)))
% 0.24/0.45  (step @p258 :rule nary_cong :premises (@p257 @p256) :args (@t210))
% 0.24/0.45  (step @p259 :rule quant-miniscope-and :args ((= @t211 @t210)))
% 0.24/0.45  (step @p260 :rule trans :premises (@p259 @p258))
% 0.24/0.45  (step @p261 :rule nary_cong :premises (@p241 @p240 @p239 @p260) :args (@t212))
% 0.24/0.45  (step @p262 :rule quant-miniscope-or :args ((= @t207 @t212)))
% 0.24/0.45  (step @p263 :rule trans :premises (@p262 @p261))
% 0.24/0.45  (step @p264 :rule symm :premises (@p263))
% 0.24/0.45  (step @p265 :rule cong :premises (@p264) :args (@t214))
% 0.24/0.45  (step @p266 :rule trans :premises (@p265 @p255))
% 0.24/0.45  (step @p267 :rule trans :premises (@p266 @p254))
% 0.24/0.45  (step @p268 :rule refl :args (@t75))
% 0.24/0.45  (step @p269 :rule nary_cong :premises (@p268 @p205 @p267) :args (@t215))
% 0.24/0.45  (step @p270 :rule trans :premises (@p269 @p218))
% 0.24/0.45  (step @p271 :rule quant-miniscope-or :args ((= (forall @t14 @t216) @t215)))
% 0.24/0.45  (step @p272 :rule aci_norm :args ((= @t217 @t216)))
% 0.24/0.45  (step @p273 :rule cong :premises (@p272) :args ((forall @t14 @t217)))
% 0.24/0.45  (step @p274 :rule trans :premises (@p273 @p271))
% 0.24/0.45  (step @p275 :rule trans :premises (@p274 @p270))
% 0.24/0.45  (step @p276 :rule aci_norm :args ((= (or @t97 (or @t96 (or @t118 @t95))) @t119)))
% 0.24/0.45  (step @p277 :rule bool-and-de-morgan :args (@t62 @t61 true))
% 0.24/0.45  (step @p278 :rule refl :args (@t96))
% 0.24/0.45  (step @p279 :rule nary_cong :premises (@p278 @p277) :args ((or @t96 (not (and @t62 @t61)))))
% 0.24/0.45  (step @p280 :rule bool-and-de-morgan :args (@t63 @t62 (and @t61)))
% 0.24/0.45  (step @p281 :rule trans :premises (@p280 @p279))
% 0.24/0.45  (step @p282 :rule refl :args (@t97))
% 0.24/0.45  (step @p283 :rule nary_cong :premises (@p282 @p281) :args ((or @t97 (not (and @t63 @t62 @t61)))))
% 0.24/0.45  (step @p284 :rule bool-and-de-morgan :args (@t30 @t63 (and @t62 @t61)))
% 0.24/0.45  (step @p285 :rule trans :premises (@p284 @p283))
% 0.24/0.45  (step @p286 :rule trans :premises (@p285 @p276))
% 0.24/0.45  (step @p287 :rule cong :premises (@p286) :args (@t218))
% 0.24/0.45  (step @p288 :rule cong :premises (@p287) :args (@t219))
% 0.24/0.45  (step @p289 :rule exists-elim :args ((= @t65 @t219)))
% 0.24/0.45  (step @p290 :rule trans :premises (@p289 @p288))
% 0.24/0.45  (step @p291 :rule refl :args (@t67))
% 0.24/0.45  (step @p292 :rule nary_cong :premises (@p291 @p290) :args (@t68))
% 0.24/0.45  (step @p293 :rule eq-symm :args (tptp.nil @t2))
% 0.24/0.45  (step @p294 :rule eq-symm :args (tptp.nil @t1))
% 0.24/0.45  (step @p295 :rule cong :premises (@p294) :args (@t58))
% 0.24/0.45  (step @p296 :rule nary_cong :premises (@p295 @p293) :args (@t69))
% 0.24/0.45  (step @p297 :rule nary_cong :premises (@p296 @p292) :args (@t70))
% 0.24/0.45  (step @p298 :rule refl :args (@t72))
% 0.24/0.45  (step @p299 :rule eq-symm :args (tptp.nil @t10))
% 0.24/0.45  (step @p300 :rule eq-symm :args (tptp.nil @t12))
% 0.24/0.45  (step @p301 :rule cong :premises (@p300) :args (@t73))
% 0.24/0.45  (step @p302 :rule nary_cong :premises (@p301 @p299) :args (@t74))
% 0.24/0.45  (step @p303 :rule refl :args (@t76))
% 0.24/0.45  (step @p304 :rule refl :args (@t77))
% 0.24/0.45  (step @p305 :rule nary_cong :premises (@p304 @p303 @p268 @p302 @p298 @p297) :args (@t78))
% 0.24/0.45  (step @p306 :rule cong :premises (@p305) :args (@t79))
% 0.24/0.45  (step @p307 :rule trans :premises (@p306 @p275))
% 0.24/0.45  (step @p308 :rule refl :args (@t15))
% 0.24/0.45  (step @p309 :rule cong :premises (@p308 @p307) :args (@t80))
% 0.24/0.45  (step @p310 :rule cong :premises (@p309) :args (@t81))
% 0.24/0.45  (step @p311 :rule trans :premises (@p310 @p217))
% 0.24/0.45  (step @p312 :rule refl :args (@t21))
% 0.24/0.45  (step @p313 :rule cong :premises (@p312 @p311) :args (@t82))
% 0.24/0.45  (step @p314 :rule cong :premises (@p313) :args (@t83))
% 0.24/0.45  (step @p315 :rule trans :premises (@p314 @p153))
% 0.24/0.45  (step @p316 :rule refl :args (@t17))
% 0.24/0.45  (step @p317 :rule cong :premises (@p316 @p315) :args (@t84))
% 0.24/0.45  (step @p318 :rule cong :premises (@p317) :args (@t85))
% 0.24/0.45  (step @p319 :rule trans :premises (@p318 @p127))
% 0.24/0.45  (step @p320 :rule cong :premises (@p319) :args (@t86))
% 0.24/0.45  (step @p321 :rule eq_resolve :premises (@p96 @p320))
% 0.24/0.45  (step @p322 :rule refl :args (@t242))
% 0.24/0.45  (step @p323 :rule bool-double-not-elim :args (@t221))
% 0.24/0.45  (step @p324 :rule nary_cong :premises (@p323 @p322) :args ((or (not @t243) @t242)))
% 0.24/0.45  (step @p325 :rule refl :args (@t227))
% 0.24/0.45  (step @p326 :rule refl :args (@t228))
% 0.24/0.45  (step @p327 :rule eq-symm :args (@t225 tptp.nil))
% 0.24/0.45  (step @p328 :rule cong :premises (@p327) :args (@t245))
% 0.24/0.45  (step @p329 :rule nary_cong :premises (@p328 @p326) :args (@t246))
% 0.24/0.45  (step @p330 :rule refl :args (@t235))
% 0.24/0.45  (step @p331 :rule refl :args (@t236))
% 0.24/0.45  (step @p332 :rule nary_cong :premises (@p331 @p327) :args (@t247))
% 0.24/0.45  (step @p333 :rule nary_cong :premises (@p332 @p330) :args (@t248))
% 0.24/0.45  (step @p334 :rule refl :args (@t239))
% 0.24/0.45  (step @p335 :rule refl :args (@t240))
% 0.24/0.45  (step @p336 :rule nary_cong :premises (@p335 @p334 @p333 @p329 @p325) :args (@t249))
% 0.24/0.45  (step @p337 :rule cong :premises (@p336) :args (@t250))
% 0.24/0.45  (step @p338 :rule refl :args (@t243))
% 0.24/0.45  (step @p339 :rule cong :premises (@p338 @p337) :args ((=> @t243 @t250)))
% 0.24/0.45  (assume-push @p390 @t243)
% 0.24/0.45  (step @p341 :rule skolemize :premises (@p321))
% 0.24/0.45  (step-pop @p391 :rule scope :premises (@p341))
% 0.24/0.45  (step @p342 :rule process_scope :premises (@p391) :args (@t250))
% 0.24/0.45  (step @p344 :rule eq_resolve :premises (@p342 @p339))
% 0.24/0.45  (step @p345 :rule implies_elim :premises (@p344))
% 0.24/0.45  (step @p346 :rule eq_resolve :premises (@p345 @p324))
% 0.24/0.45  (step @p347 :rule chain_m_resolution :premises (@p346 @p321) :args (@t242 @t251 (@list @t221)))
% 0.24/0.45  (step @p348 :rule cnf_or_neg :args (@t241 3))
% 0.24/0.45  (step @p349 :rule chain_m_resolution :premises (@p348 @p347) :args ((not @t231) @t251 @t252))
% 0.24/0.45  (step @p350 :rule bool-double-not-elim :args (@t223))
% 0.24/0.45  (step @p351 :rule nary_cong :premises (@p330 @p350) :args ((or @t235 (not @t234))))
% 0.24/0.45  (step @p352 :rule cnf_or_neg :args (@t235 0))
% 0.24/0.45  (step @p353 :rule eq_resolve :premises (@p352 @p351))
% 0.24/0.45  (step @p354 :rule reordering :premises (@p353) :args ((or @t223 @t235)))
% 0.24/0.45  (step @p355 :rule bool-double-not-elim :args (@t232))
% 0.24/0.45  (step @p356 :rule nary_cong :premises (@p330 @p355) :args ((or @t235 (not @t233))))
% 0.24/0.45  (step @p357 :rule cnf_or_neg :args (@t235 1))
% 0.24/0.45  (step @p358 :rule eq_resolve :premises (@p357 @p356))
% 0.24/0.45  (step @p359 :rule reordering :premises (@p358) :args ((or @t232 @t235)))
% 0.24/0.45  (step @p360 :rule cnf_or_neg :args (@t241 4))
% 0.24/0.45  (step @p361 :rule chain_m_resolution :premises (@p360 @p347) :args ((not @t227) @t251 @t252))
% 0.24/0.46  (step @p362 :rule cnf_and_neg :args (@t227))
% 0.24/0.46  (step @p363 :rule reordering :premises (@p362) :args ((or @t234 @t227 (not @t226))))
% 0.24/0.46  (assume-push @p392 @t232)
% 0.24/0.46  (step @p365 :rule instantiate :premises (@p392) :args ((@list @t224)))
% 0.24/0.46  (step-pop @p393 :rule scope :premises (@p365))
% 0.24/0.46  (step @p366 :rule process_scope :premises (@p393) :args (@t226))
% 0.24/0.46  (step @p368 :rule implies_elim :premises (@p366))
% 0.24/0.46  (step @p369 :rule chain_m_resolution :premises (@p368 @p363 @p361 @p359 @p354) :args (@t235 (@list true true false false) (@list @t226 @t227 @t232 @t223)))
% 0.24/0.46  (step @p370 :rule cnf_or_neg :args (@t241 2))
% 0.24/0.46  (step @p371 :rule chain_m_resolution :premises (@p370 @p347) :args ((not @t238) @t251 @t252))
% 0.24/0.46  (step @p372 :rule cnf_and_neg :args (@t238))
% 0.24/0.46  (step @p373 :rule chain_m_resolution :premises (@p372 @p371 @p369) :args ((not @t237) (@list true false) (@list @t238 @t235)))
% 0.24/0.46  (step @p374 :rule bool-double-not-elim :args (@t228))
% 0.24/0.46  (step @p375 :rule refl :args (@t237))
% 0.24/0.46  (step @p376 :rule nary_cong :premises (@p375 @p374) :args ((or @t237 (not @t236))))
% 0.24/0.46  (step @p377 :rule cnf_or_neg :args (@t237 0))
% 0.24/0.46  (step @p378 :rule eq_resolve :premises (@p377 @p376))
% 0.24/0.46  (step @p379 :rule reordering :premises (@p378) :args ((or @t228 @t237)))
% 0.24/0.46  (step @p380 :rule chain_m_resolution :premises (@p379 @p373) :args (@t228 @t251 @t253))
% 0.24/0.46  (step @p381 :rule cnf_or_neg :args (@t237 1))
% 0.24/0.46  (step @p382 :rule chain_m_resolution :premises (@p381 @p373) :args (@t230 @t251 @t253))
% 0.24/0.46  (step @p383 :rule bool-double-not-elim :args (@t229))
% 0.24/0.46  (step @p384 :rule refl :args (@t231))
% 0.24/0.46  (step @p385 :rule nary_cong :premises (@p384 @p383 @p331) :args ((or @t231 (not @t230) @t236)))
% 0.24/0.46  (step @p386 :rule cnf_and_neg :args (@t231))
% 0.24/0.46  (step @p387 :rule eq_resolve :premises (@p386 @p385))
% 0.24/0.46  (step @p388 :rule reordering :premises (@p387) :args ((or @t236 @t229 @t231)))
% 0.24/0.46  (step @p389 false :rule chain_m_resolution :premises (@p388 @p382 @p380 @p349) :args (false (@list true false true) (@list @t229 @t228 @t231)))
% 0.24/0.46  )
% 0.24/0.46  % SZS output end Proof
% 0.24/0.46  % cvc5 exiting
%------------------------------------------------------------------------------