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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : NUM629+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n017.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 08:40:04 AM UTC 2026

% Result   : Theorem 163.18s 163.49s
% Output   : Proof 163.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM629+1 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.33  % Computer : n017.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit : 300
% 0.15/0.33  % WCLimit  : 300
% 0.15/0.33  % DateTime : Tue Jun  2 11:36:46 EDT 2026
% 0.15/0.34  % CPUTime  : 
% 0.30/0.51  %----Proving TF0_NAR, FOF, or CNF
% 163.18/163.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 163.18/163.49  --- Run --no-e-matching --full-saturate-quant at 6...
% 163.18/163.49  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 163.18/163.49  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 163.18/163.49  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 163.18/163.49  --- Run --trigger-sel=max --full-saturate-quant at 15...
% 163.18/163.49  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33...
% 163.18/163.49  --- Run --multi-trigger-cache --full-saturate-quant at 15...
% 163.18/163.49  --- Run --prenex-quant=none --full-saturate-quant at 30...
% 163.18/163.49  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15...
% 163.18/163.49  % SZS status Theorem
% 163.18/163.49  % SZS output start Proof
% 163.18/163.49  (
% 163.18/163.49  (declare-sort $$unsorted 0)
% 163.18/163.49  (declare-const tptp.xD $$unsorted)
% 163.18/163.49  (declare-const tptp.xn $$unsorted)
% 163.18/163.49  (declare-const tptp.xp $$unsorted)
% 163.18/163.49  (declare-const tptp.xQ $$unsorted)
% 163.18/163.49  (declare-const tptp.xe $$unsorted)
% 163.18/163.49  (declare-const tptp.xP $$unsorted)
% 163.18/163.49  (declare-const tptp.xC $$unsorted)
% 163.18/163.49  (declare-const tptp.xN $$unsorted)
% 163.18/163.49  (declare-const tptp.sz00 $$unsorted)
% 163.18/163.49  (declare-const tptp.xc $$unsorted)
% 163.18/163.49  (declare-const tptp.aFunction0 (-> $$unsorted Bool))
% 163.18/163.49  (declare-const tptp.szNzAzT0 $$unsorted)
% 163.18/163.49  (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool))
% 163.18/163.49  (declare-const tptp.xd $$unsorted)
% 163.18/163.49  (declare-const tptp.xk $$unsorted)
% 163.18/163.49  (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted))
% 163.18/163.49  (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted))
% 163.18/163.49  (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool))
% 163.18/163.49  (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted))
% 163.18/163.49  (declare-const tptp.isCountable0 (-> $$unsorted Bool))
% 163.18/163.49  (declare-const tptp.isFinite0 (-> $$unsorted Bool))
% 163.18/163.49  (declare-const tptp.aElement0 (-> $$unsorted Bool))
% 163.18/163.49  (declare-const tptp.aSet0 (-> $$unsorted Bool))
% 163.18/163.49  (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool))
% 163.18/163.49  (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted))
% 163.18/163.49  (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted))
% 163.18/163.49  (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted))
% 163.18/163.49  (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted))
% 163.18/163.49  (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool))
% 163.18/163.49  (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted))
% 163.18/163.49  (declare-const tptp.xK $$unsorted)
% 163.18/163.49  (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted))
% 163.18/163.49  (declare-const tptp.xT $$unsorted)
% 163.18/163.49  (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted))
% 163.18/163.49  (declare-const tptp.xO $$unsorted)
% 163.18/163.49  (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted))
% 163.18/163.49  (declare-const tptp.xS $$unsorted)
% 163.18/163.49  (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted))
% 163.18/163.49  (declare-const tptp.slcrc0 $$unsorted)
% 163.18/163.49  (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted))
% 163.18/163.49  (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted))
% 163.18/163.49  (define @t1 () (@var "W0" $$unsorted))
% 163.18/163.49  (define @t2 () (tptp.aSet0 @t1))
% 163.18/163.49  (define @t3 () (@list @t1))
% 163.18/163.49  (define @t4 () (tptp.aElement0 @t1))
% 163.18/163.49  (define @t5 () (@var "W1" $$unsorted))
% 163.18/163.49  (define @t6 () (tptp.aElement0 @t5))
% 163.18/163.49  (define @t7 () (tptp.aElementOf0 @t5 @t1))
% 163.18/163.49  (define @t8 () (@list @t5))
% 163.18/163.49  (define @t9 () (forall @t8 (=> @t7 @t6)))
% 163.18/163.49  (define @t10 () (=> @t2 @t9))
% 163.18/163.49  (define @t11 () (forall @t3 @t10))
% 163.18/163.49  (define @t12 () (tptp.isFinite0 @t1))
% 163.18/163.49  (define @t13 () (= @t1 tptp.slcrc0))
% 163.18/163.49  (define @t14 () (tptp.isCountable0 @t1))
% 163.18/163.49  (define @t15 () (not @t12))
% 163.18/163.49  (define @t16 () (and @t2 @t14))
% 163.18/163.49  (define @t17 () (not @t13))
% 163.18/163.49  (define @t18 () (@var "W2" $$unsorted))
% 163.18/163.49  (define @t19 () (tptp.aElementOf0 @t18 @t1))
% 163.18/163.49  (define @t20 () (tptp.aElementOf0 @t18 @t5))
% 163.18/163.49  (define @t21 () (@list @t18))
% 163.18/163.49  (define @t22 () (forall @t21 (=> @t20 @t19)))
% 163.18/163.49  (define @t23 () (tptp.aSet0 @t5))
% 163.18/163.49  (define @t24 () (and @t23 @t22))
% 163.18/163.49  (define @t25 () (tptp.aSubsetOf0 @t5 @t1))
% 163.18/163.49  (define @t26 () (= @t25 @t24))
% 163.18/163.49  (define @t27 () (forall @t8 @t26))
% 163.18/163.49  (define @t28 () (=> @t2 @t27))
% 163.18/163.49  (define @t29 () (forall @t3 @t28))
% 163.18/163.49  (define @t30 () (tptp.isFinite0 @t5))
% 163.18/163.49  (define @t31 () (and @t2 @t12))
% 163.18/163.49  (define @t32 () (= @t1 @t5))
% 163.18/163.49  (define @t33 () (tptp.aSubsetOf0 @t1 @t5))
% 163.18/163.49  (define @t34 () (@list @t1 @t5))
% 163.18/163.49  (define @t35 () (tptp.aSubsetOf0 @t1 @t18))
% 163.18/163.49  (define @t36 () (tptp.aSubsetOf0 @t5 @t18))
% 163.18/163.49  (define @t37 () (and @t33 @t36))
% 163.18/163.49  (define @t38 () (=> @t37 @t35))
% 163.18/163.49  (define @t39 () (tptp.aSet0 @t18))
% 163.18/163.49  (define @t40 () (and @t2 @t23 @t39))
% 163.18/163.49  (define @t41 () (@list @t1 @t5 @t18))
% 163.18/163.49  (define @t42 () (forall @t41 (=> @t40 @t38)))
% 163.18/163.49  (define @t43 () (@var "W3" $$unsorted))
% 163.18/163.49  (define @t44 () (= @t43 @t5))
% 163.18/163.49  (define @t45 () (tptp.aElementOf0 @t43 @t1))
% 163.18/163.49  (define @t46 () (tptp.aElement0 @t43))
% 163.18/163.49  (define @t47 () (tptp.aElementOf0 @t43 @t18))
% 163.18/163.49  (define @t48 () (@list @t43))
% 163.18/163.49  (define @t49 () (tptp.sdtpldt0 @t1 @t5))
% 163.18/163.49  (define @t50 () (and @t2 @t6))
% 163.18/163.49  (define @t51 () (not @t44))
% 163.18/163.49  (define @t52 () (and @t46 @t45 @t51))
% 163.18/163.49  (define @t53 () (= @t47 @t52))
% 163.18/163.49  (define @t54 () (forall @t48 @t53))
% 163.18/163.49  (define @t55 () (and @t39 @t54))
% 163.18/163.49  (define @t56 () (tptp.sdtmndt0 @t1 @t5))
% 163.18/163.49  (define @t57 () (= @t18 @t56))
% 163.18/163.49  (define @t58 () (= @t57 @t55))
% 163.18/163.49  (define @t59 () (forall @t21 @t58))
% 163.18/163.49  (define @t60 () (=> @t50 @t59))
% 163.18/163.49  (define @t61 () (forall @t34 @t60))
% 163.18/163.49  (define @t62 () (tptp.sdtpldt0 @t5 @t1))
% 163.18/163.49  (define @t63 () (tptp.isCountable0 @t5))
% 163.18/163.49  (define @t64 () (and @t23 @t63))
% 163.18/163.49  (define @t65 () (tptp.sdtmndt0 @t5 @t1))
% 163.18/163.49  (define @t66 () (and @t23 @t30))
% 163.18/163.49  (define @t67 () (tptp.aSet0 tptp.szNzAzT0))
% 163.18/163.49  (define @t68 () (tptp.szszuzczcdt0 @t1))
% 163.18/163.49  (define @t69 () (not (= @t68 tptp.sz00)))
% 163.18/163.49  (define @t70 () (tptp.aElementOf0 @t68 tptp.szNzAzT0))
% 163.18/163.49  (define @t71 () (and @t70 @t69))
% 163.18/163.49  (define @t72 () (tptp.aElementOf0 @t1 tptp.szNzAzT0))
% 163.18/163.49  (define @t73 () (=> @t72 @t71))
% 163.18/163.49  (define @t74 () (forall @t3 @t73))
% 163.18/163.49  (define @t75 () (tptp.szszuzczcdt0 @t5))
% 163.18/163.49  (define @t76 () (tptp.aElementOf0 @t5 tptp.szNzAzT0))
% 163.18/163.49  (define @t77 () (and @t72 @t76))
% 163.18/163.49  (define @t78 () (= @t1 tptp.sz00))
% 163.18/163.49  (define @t79 () (tptp.sdtlseqdt0 @t1 @t5))
% 163.18/163.49  (define @t80 () (tptp.sdtlseqdt0 @t5 @t1))
% 163.18/163.49  (define @t81 () (tptp.sdtlseqdt0 @t5 @t18))
% 163.18/163.49  (define @t82 () (tptp.aElementOf0 @t18 tptp.szNzAzT0))
% 163.18/163.49  (define @t83 () (tptp.sbrdtbr0 @t1))
% 163.18/163.49  (define @t84 () (not @t7))
% 163.18/163.49  (define @t85 () (and @t2 @t76))
% 163.18/163.49  (define @t86 () (tptp.szmzizndt0 @t1))
% 163.18/163.49  (define @t87 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0))
% 163.18/163.49  (define @t88 () (tptp.szmzizndt0 @t5))
% 163.18/163.49  (define @t89 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0))
% 163.18/163.49  (define @t90 () (tptp.slbdtrb0 @t1))
% 163.18/163.49  (define @t91 () (tptp.slbdtrb0 @t5))
% 163.18/163.49  (define @t92 () (tptp.sbrdtbr0 @t43))
% 163.18/163.49  (define @t93 () (tptp.aSubsetOf0 @t43 @t1))
% 163.18/163.49  (define @t94 () (and @t93 (= @t92 @t5)))
% 163.18/163.49  (define @t95 () (= @t47 @t94))
% 163.18/163.49  (define @t96 () (forall @t48 @t95))
% 163.18/163.49  (define @t97 () (and @t39 @t96))
% 163.18/163.49  (define @t98 () (tptp.slbdtsldtrb0 @t1 @t5))
% 163.18/163.49  (define @t99 () (= @t18 @t98))
% 163.18/163.49  (define @t100 () (= @t99 @t97))
% 163.18/163.49  (define @t101 () (forall @t21 @t100))
% 163.18/163.49  (define @t102 () (=> @t85 @t101))
% 163.18/163.49  (define @t103 () (forall @t34 @t102))
% 163.18/163.49  (define @t104 () (tptp.slbdtsldtrb0 @t5 @t1))
% 163.18/163.49  (define @t105 () (tptp.aFunction0 @t1))
% 163.18/163.49  (define @t106 () (tptp.szDzozmdt0 @t1))
% 163.18/163.49  (define @t107 () (tptp.sdtlpdtrp0 @t1 @t5))
% 163.18/163.49  (define @t108 () (tptp.aElementOf0 @t5 @t106))
% 163.18/163.49  (define @t109 () (tptp.sdtlpdtrp0 @t1 @t43))
% 163.18/163.49  (define @t110 () (tptp.aElementOf0 @t43 @t106))
% 163.18/163.49  (define @t111 () (tptp.sdtlbdtrb0 @t1 @t5))
% 163.18/163.49  (define @t112 () (and @t105 @t6))
% 163.18/163.49  (define @t113 () (@var "W4" $$unsorted))
% 163.18/163.49  (define @t114 () (@list @t113))
% 163.18/163.49  (define @t115 () (tptp.sdtlcdtrc0 @t1 @t5))
% 163.18/163.49  (define @t116 () (tptp.aSubsetOf0 @t5 @t106))
% 163.18/163.49  (define @t117 () (tptp.sdtlcdtrc0 @t1 @t106))
% 163.18/163.49  (define @t118 () (tptp.szDzozmdt0 @t18))
% 163.18/163.49  (define @t119 () (tptp.aFunction0 @t18))
% 163.18/163.49  (define @t120 () (tptp.szDzizrdt0 @t1))
% 163.18/163.49  (define @t121 () (tptp.szDzozmdt0 tptp.xc))
% 163.18/163.49  (define @t122 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK))
% 163.18/163.49  (define @t123 () (@var "W5" $$unsorted))
% 163.18/163.49  (define @t124 () (tptp.aElementOf0 tptp.xk tptp.szNzAzT0))
% 163.18/163.49  (define @t125 () (tptp.sdtlpdtrp0 tptp.xN @t68))
% 163.18/163.49  (define @t126 () (tptp.sdtlpdtrp0 tptp.xN @t1))
% 163.18/163.49  (define @t127 () (tptp.szmzizndt0 @t126))
% 163.18/163.49  (define @t128 () (tptp.sdtmndt0 @t126 @t127))
% 163.18/163.49  (define @t129 () (and (tptp.aSubsetOf0 @t125 @t128) (tptp.isCountable0 @t125)))
% 163.18/163.49  (define @t130 () (tptp.isCountable0 @t126))
% 163.18/163.49  (define @t131 () (tptp.aSubsetOf0 @t126 tptp.szNzAzT0))
% 163.18/163.49  (define @t132 () (and @t131 @t130))
% 163.18/163.49  (define @t133 () (=> @t132 @t129))
% 163.18/163.49  (define @t134 () (forall @t3 (=> @t72 @t133)))
% 163.18/163.49  (define @t135 () (tptp.szDzozmdt0 tptp.xN))
% 163.18/163.49  (define @t136 () (forall @t3 (=> @t72 @t132)))
% 163.18/163.49  (define @t137 () (tptp.sdtlpdtrp0 tptp.xN @t5))
% 163.18/163.49  (define @t138 () (tptp.sdtpldt0 @t5 @t127))
% 163.18/163.49  (define @t139 () (tptp.slbdtsldtrb0 @t128 tptp.xk))
% 163.18/163.49  (define @t140 () (and @t23 (tptp.aElementOf0 @t5 @t139)))
% 163.18/163.49  (define @t141 () (tptp.sdtlpdtrp0 tptp.xC @t1))
% 163.18/163.49  (define @t142 () (tptp.sdtlpdtrp0 @t141 @t5))
% 163.18/163.49  (define @t143 () (tptp.szDzozmdt0 @t141))
% 163.18/163.49  (define @t144 () (tptp.aElementOf0 @t5 tptp.xT))
% 163.18/163.49  (define @t145 () (tptp.slbdtsldtrb0 @t125 tptp.xk))
% 163.18/163.49  (define @t146 () (tptp.sdtlpdtrp0 tptp.xe @t1))
% 163.18/163.49  (define @t147 () (=> @t72 (= @t146 @t127)))
% 163.18/163.49  (define @t148 () (forall @t3 @t147))
% 163.18/163.49  (define @t149 () (tptp.szDzozmdt0 tptp.xd))
% 163.18/163.49  (define @t150 () (tptp.szDzizrdt0 tptp.xd))
% 163.18/163.49  (define @t151 () (tptp.sdtlbdtrb0 tptp.xd @t150))
% 163.18/163.49  (define @t152 () (tptp.sdtlcdtrc0 tptp.xe @t151))
% 163.18/163.49  (define @t153 () (tptp.aSet0 tptp.xO))
% 163.18/163.49  (define @t154 () (tptp.szmzizndt0 tptp.xQ))
% 163.18/163.49  (define @t155 () (tptp.sdtmndt0 tptp.xQ @t154))
% 163.18/163.49  (define @t156 () (tptp.aSet0 tptp.xP))
% 163.18/163.49  (define @t157 () (tptp.aElementOf0 tptp.xp tptp.xO))
% 163.18/163.49  (define @t158 () (tptp.sbrdtbr0 tptp.xP))
% 163.18/163.49  (define @t159 () (tptp.sdtlpdtrp0 tptp.xe tptp.xn))
% 163.18/163.49  (define @t160 () (tptp.aElementOf0 tptp.xn tptp.szNzAzT0))
% 163.18/163.49  (define @t161 () (tptp.szszuzczcdt0 tptp.xn))
% 163.18/163.49  (define @t162 () (tptp.sdtlpdtrp0 tptp.xN @t161))
% 163.18/163.49  (define @t163 () (tptp.aSubsetOf0 tptp.xP @t162))
% 163.18/163.49  (define @t164 () (tptp.sdtlpdtrp0 tptp.xN tptp.xn))
% 163.18/163.49  (define @t165 () (tptp.szmzizndt0 @t164))
% 163.18/163.49  (define @t166 () (tptp.sdtmndt0 @t164 @t165))
% 163.18/163.49  (define @t167 () (tptp.slbdtsldtrb0 tptp.xD tptp.xk))
% 163.18/163.49  (define @t168 () (tptp.aElementOf0 tptp.xP @t167))
% 163.18/163.49  (define @t169 () (not @t168))
% 163.18/163.49  (define @t170 () (not @t36))
% 163.18/163.49  (define @t171 () (not @t33))
% 163.18/163.49  (define @t172 () (not @t39))
% 163.18/163.49  (define @t173 () (not @t23))
% 163.18/163.49  (define @t174 () (not @t2))
% 163.18/163.49  (define @t175 () (or @t174 @t173 @t172 @t171 @t170 @t35))
% 163.18/163.49  (define @t176 () (or @t171 @t170 @t35))
% 163.18/163.49  (define @t177 () (or @t174 @t173 @t172))
% 163.18/163.49  (define @t178 () (@var "BOUND_VARIABLE_8831" $$unsorted))
% 163.18/163.49  (define @t179 () (tptp.aElementOf0 @t43 @t178))
% 163.18/163.49  (define @t180 () (and @t93 (= @t5 @t92)))
% 163.18/163.49  (define @t181 () (tptp.aSet0 @t178))
% 163.18/163.49  (define @t182 () (= (= @t98 @t178) (and @t181 (forall @t48 (= @t180 @t179)))))
% 163.18/163.49  (define @t183 () (not @t76))
% 163.18/163.49  (define @t184 () (or @t174 @t183 @t182))
% 163.18/163.49  (define @t185 () (@list @t1 @t5 @t178))
% 163.18/163.49  (define @t186 () (forall @t48 (= @t179 @t180)))
% 163.18/163.49  (define @t187 () (and @t181 @t186))
% 163.18/163.49  (define @t188 () (= (= @t178 @t98) @t187))
% 163.18/163.49  (define @t189 () (or @t174 @t183 @t188))
% 163.18/163.49  (define @t190 () (forall @t185 @t189))
% 163.18/163.49  (define @t191 () (@list @t178))
% 163.18/163.49  (define @t192 () (forall @t191 @t189))
% 163.18/163.49  (define @t193 () (forall @t191 @t188))
% 163.18/163.49  (define @t194 () (@list @t18))
% 163.18/163.49  (define @t195 () (or @t174 @t183 @t193))
% 163.18/163.49  (define @t196 () (forall @t21 (= @t99 (and @t39 (forall @t48 (= @t47 @t180))))))
% 163.18/163.49  (define @t197 () (or @t174 @t183 @t196))
% 163.18/163.49  (define @t198 () (tptp.sbrdtbr0 @t155))
% 163.18/163.49  (define @t199 () (tptp.aSubsetOf0 @t43 @t166))
% 163.18/163.49  (define @t200 () (and @t199 (= @t92 @t198)))
% 163.18/163.49  (define @t201 () (tptp.slbdtsldtrb0 @t166 @t198))
% 163.18/163.49  (define @t202 () (tptp.aElementOf0 @t43 @t201))
% 163.18/163.49  (define @t203 () (forall @t48 (= @t202 @t200)))
% 163.18/163.49  (define @t204 () (tptp.aSet0 @t201))
% 163.18/163.49  (define @t205 () (and @t204 @t203))
% 163.18/163.49  (define @t206 () (and @t199 (= @t198 @t92)))
% 163.18/163.49  (define @t207 () (= @t206 @t202))
% 163.18/163.49  (define @t208 () (forall @t48 @t207))
% 163.18/163.49  (define @t209 () (and @t204 @t208))
% 163.18/163.49  (define @t210 () (= (= @t201 @t201) @t209))
% 163.18/163.49  (define @t211 () (tptp.aElementOf0 @t198 @t135))
% 163.18/163.49  (define @t212 () (not @t211))
% 163.18/163.49  (define @t213 () (tptp.aSet0 @t166))
% 163.18/163.49  (define @t214 () (not @t213))
% 163.18/163.49  (define @t215 () (or @t214 @t212 @t210))
% 163.18/163.49  (define @t216 () (forall @t185 (or @t174 (not (tptp.aElementOf0 @t5 @t135)) @t182)))
% 163.18/163.49  (define @t217 () (or @t214 @t212 @t205))
% 163.18/163.49  (define @t218 () (@list false))
% 163.18/163.49  (define @t219 () (@var "BOUND_VARIABLE_8359" $$unsorted))
% 163.18/163.49  (define @t220 () (tptp.aElementOf0 @t43 @t219))
% 163.18/163.49  (define @t221 () (and @t46 @t45 (not (= @t5 @t43))))
% 163.18/163.49  (define @t222 () (forall @t48 (= @t220 @t221)))
% 163.18/163.49  (define @t223 () (tptp.aSet0 @t219))
% 163.18/163.49  (define @t224 () (and @t223 @t222))
% 163.18/163.49  (define @t225 () (= (= @t219 @t56) @t224))
% 163.18/163.49  (define @t226 () (not @t6))
% 163.18/163.49  (define @t227 () (or @t174 @t226 @t225))
% 163.18/163.49  (define @t228 () (@list @t1 @t5 @t219))
% 163.18/163.49  (define @t229 () (forall @t228 @t227))
% 163.18/163.49  (define @t230 () (@list @t219))
% 163.18/163.49  (define @t231 () (forall @t230 @t227))
% 163.18/163.49  (define @t232 () (forall @t230 @t225))
% 163.18/163.49  (define @t233 () (or @t174 @t226 @t232))
% 163.18/163.49  (define @t234 () (forall @t21 (= @t57 (and @t39 (forall @t48 (= @t47 @t221))))))
% 163.18/163.49  (define @t235 () (or @t174 @t226 @t234))
% 163.18/163.49  (define @t236 () (tptp.aElementOf0 @t43 @t164))
% 163.18/163.49  (define @t237 () (and @t46 @t236 (not (= @t43 @t159))))
% 163.18/163.49  (define @t238 () (tptp.aElementOf0 @t43 @t166))
% 163.18/163.49  (define @t239 () (not (= @t159 @t43)))
% 163.18/163.49  (define @t240 () (and @t46 @t236 @t239))
% 163.18/163.49  (define @t241 () (= @t240 @t238))
% 163.18/163.49  (define @t242 () (forall @t48 @t241))
% 163.18/163.49  (define @t243 () (and @t213 @t242))
% 163.18/163.49  (define @t244 () (tptp.sdtmndt0 @t164 @t159))
% 163.18/163.49  (define @t245 () (= (= @t244 @t166) @t243))
% 163.18/163.49  (define @t246 () (tptp.aElement0 @t159))
% 163.18/163.49  (define @t247 () (not @t246))
% 163.18/163.49  (define @t248 () (tptp.aSet0 @t164))
% 163.18/163.49  (define @t249 () (not @t248))
% 163.18/163.49  (define @t250 () (or @t249 @t247 @t245))
% 163.18/163.49  (define @t251 () (forall @t228 (or @t174 @t226 (= (= @t56 @t219) (and @t223 (forall @t48 (= @t221 @t220)))))))
% 163.18/163.49  (define @t252 () (and @t213 (forall @t48 (= @t238 @t237))))
% 163.18/163.49  (define @t253 () (= @t166 @t244))
% 163.18/163.49  (define @t254 () (= @t253 @t252))
% 163.18/163.49  (define @t255 () (or @t249 @t247 @t254))
% 163.18/163.49  (define @t256 () (@var "BOUND_VARIABLE_8206" $$unsorted))
% 163.18/163.49  (define @t257 () (tptp.aElement0 @t256))
% 163.18/163.49  (define @t258 () (not (tptp.aElementOf0 @t256 @t1)))
% 163.18/163.49  (define @t259 () (or @t258 @t257))
% 163.18/163.49  (define @t260 () (or @t174 @t259))
% 163.18/163.49  (define @t261 () (forall (@list @t1 @t256) @t260))
% 163.18/163.49  (define @t262 () (@list @t256))
% 163.18/163.49  (define @t263 () (forall @t262 @t260))
% 163.18/163.49  (define @t264 () (forall @t262 @t259))
% 163.18/163.49  (define @t265 () (@list @t5))
% 163.18/163.49  (define @t266 () (or @t174 @t264))
% 163.18/163.49  (define @t267 () (forall @t8 (or @t84 @t6)))
% 163.18/163.49  (define @t268 () (tptp.aElement0 @t154))
% 163.18/163.49  (define @t269 () (tptp.aElementOf0 @t154 @t152))
% 163.18/163.49  (define @t270 () (not @t269))
% 163.18/163.49  (define @t271 () (tptp.aSet0 @t152))
% 163.18/163.49  (define @t272 () (not @t271))
% 163.18/163.49  (define @t273 () (or @t272 @t270 @t268))
% 163.18/163.49  (define @t274 () (@list false false false))
% 163.18/163.49  (define @t275 () (@var "BOUND_VARIABLE_8255" $$unsorted))
% 163.18/163.49  (define @t276 () (= (tptp.aSubsetOf0 @t275 @t1) (and (tptp.aSet0 @t275) (forall @t21 (or (not (tptp.aElementOf0 @t18 @t275)) @t19)))))
% 163.18/163.49  (define @t277 () (or @t174 @t276))
% 163.18/163.49  (define @t278 () (@list @t275))
% 163.18/163.49  (define @t279 () (forall @t278 @t277))
% 163.18/163.49  (define @t280 () (forall @t278 @t276))
% 163.18/163.49  (define @t281 () (or @t174 @t280))
% 163.18/163.49  (define @t282 () (forall @t8 (= @t25 (and @t23 (forall @t21 (or (not @t20) @t19))))))
% 163.18/163.49  (define @t283 () (tptp.aElementOf0 @t18 @t135))
% 163.18/163.49  (define @t284 () (and @t248 (forall @t21 (or (not (tptp.aElementOf0 @t18 @t164)) @t283))))
% 163.18/163.49  (define @t285 () (tptp.aSubsetOf0 @t164 @t135))
% 163.18/163.49  (define @t286 () (= @t285 @t284))
% 163.18/163.49  (define @t287 () (tptp.aSet0 @t135))
% 163.18/163.49  (define @t288 () (not @t287))
% 163.18/163.49  (define @t289 () (or @t288 @t286))
% 163.18/163.49  (define @t290 () (@list false false))
% 163.18/163.49  (define @t291 () (not @t72))
% 163.18/163.49  (define @t292 () (or @t291 @t132))
% 163.18/163.49  (define @t293 () (@list tptp.xn))
% 163.18/163.49  (define @t294 () (tptp.isCountable0 @t164))
% 163.18/163.49  (define @t295 () (and @t285 @t294))
% 163.18/163.49  (define @t296 () (tptp.aElementOf0 tptp.xn @t135))
% 163.18/163.49  (define @t297 () (not @t296))
% 163.18/163.49  (define @t298 () (or @t297 @t295))
% 163.18/163.49  (define @t299 () (not @t295))
% 163.18/163.49  (define @t300 () (@list @t295))
% 163.18/163.49  (define @t301 () (not @t285))
% 163.18/163.49  (define @t302 () (= @t127 @t146))
% 163.18/163.49  (define @t303 () (or @t291 @t302))
% 163.18/163.49  (define @t304 () (or @t297 (= @t165 @t159)))
% 163.18/163.49  (define @t305 () (forall @t3 (or (not (tptp.aElementOf0 @t1 @t135)) @t302)))
% 163.18/163.49  (define @t306 () (= @t159 @t165))
% 163.18/163.49  (define @t307 () (or @t297 @t306))
% 163.18/163.49  (define @t308 () (tptp.aSubsetOf0 @t155 @t166))
% 163.18/163.49  (define @t309 () (and @t308 (= @t198 @t198)))
% 163.18/163.49  (define @t310 () (tptp.aElementOf0 @t155 @t201))
% 163.18/163.49  (define @t311 () (= @t310 @t309))
% 163.18/163.49  (define @t312 () (= @t310 @t308))
% 163.18/163.49  (define @t313 () (not @t308))
% 163.18/163.49  (define @t314 () (@list true false))
% 163.18/163.49  (define @t315 () (not @t130))
% 163.18/163.49  (define @t316 () (not @t131))
% 163.18/163.49  (define @t317 () (or @t291 @t316 @t315 @t129))
% 163.18/163.49  (define @t318 () (or @t316 @t315 @t129))
% 163.18/163.49  (define @t319 () (tptp.isCountable0 @t162))
% 163.18/163.49  (define @t320 () (tptp.aSubsetOf0 @t162 @t166))
% 163.18/163.49  (define @t321 () (and @t320 @t319))
% 163.18/163.49  (define @t322 () (not @t294))
% 163.18/163.49  (define @t323 () (or @t297 @t301 @t322 @t321))
% 163.18/163.49  (define @t324 () (tptp.aSet0 @t162))
% 163.18/163.49  (define @t325 () (and @t324 (forall @t21 (or (not (tptp.aElementOf0 @t18 @t162)) @t283))))
% 163.18/163.49  (define @t326 () (tptp.aSubsetOf0 @t162 @t135))
% 163.18/163.49  (define @t327 () (= @t326 @t325))
% 163.18/163.49  (define @t328 () (or @t288 @t327))
% 163.18/163.49  (define @t329 () (not (= tptp.sz00 @t68)))
% 163.18/163.49  (define @t330 () (and @t70 @t329))
% 163.18/163.49  (define @t331 () (or @t291 @t330))
% 163.18/163.49  (define @t332 () (tptp.aElementOf0 @t161 @t135))
% 163.18/163.49  (define @t333 () (and @t332 (not (= tptp.sz00 @t161))))
% 163.18/163.49  (define @t334 () (or @t297 @t333))
% 163.18/163.49  (define @t335 () (and @t326 @t319))
% 163.18/163.49  (define @t336 () (not @t332))
% 163.18/163.49  (define @t337 () (or @t336 @t335))
% 163.18/163.49  (define @t338 () (not @t320))
% 163.18/163.49  (define @t339 () (tptp.aSubsetOf0 @t155 @t162))
% 163.18/163.49  (define @t340 () (not @t339))
% 163.18/163.49  (define @t341 () (not @t324))
% 163.18/163.49  (define @t342 () (tptp.aSet0 @t155))
% 163.18/163.49  (define @t343 () (not @t342))
% 163.18/163.49  (define @t344 () (or @t343 @t341 @t214 @t340 @t338 @t308))
% 163.18/163.49  (define @t345 () (not @t344))
% 163.18/163.49  (define @t346 () (forall @t41 @t175))
% 163.18/163.49  (assume @p1 (forall @t3 (=> @t2 true)))
% 163.18/163.49  (assume @p2 (forall @t3 (=> @t4 true)))
% 163.18/163.49  (assume @p3 @t11)
% 163.18/163.49  (assume @p4 (forall @t3 (=> @t2 (=> @t12 true))))
% 163.18/163.49  (assume @p5 (forall @t3 (= @t13 (and @t2 (not (exists @t8 @t7))))))
% 163.18/163.49  (assume @p6 (tptp.isFinite0 tptp.slcrc0))
% 163.18/163.49  (assume @p7 (forall @t3 (=> @t2 (=> @t14 true))))
% 163.18/163.49  (assume @p8 (forall @t3 (=> @t16 @t15)))
% 163.18/163.49  (assume @p9 (forall @t3 (=> @t16 @t17)))
% 163.18/163.49  (assume @p10 @t29)
% 163.18/163.49  (assume @p11 (forall @t3 (=> @t31 (forall @t8 (=> @t25 @t30)))))
% 163.18/163.49  (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1))))
% 163.18/163.49  (assume @p13 (forall @t34 (=> (and @t2 @t23) (=> (and @t33 @t25) @t32))))
% 163.18/163.49  (assume @p14 @t42)
% 163.18/163.49  (assume @p15 (forall @t34 (=> @t50 (forall @t21 (= (= @t18 @t49) (and @t39 (forall @t48 (= @t47 (and @t46 (or @t45 @t44))))))))))
% 163.18/163.49  (assume @p16 @t61)
% 163.18/163.49  (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t56 @t5) @t1))))))
% 163.18/163.49  (assume @p18 (forall @t34 (=> (and @t4 @t23) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t62 @t1) @t5)))))
% 163.18/163.49  (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t64 (tptp.isCountable0 @t62))))))
% 163.18/163.49  (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t64 (tptp.isCountable0 @t65))))))
% 163.18/163.49  (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t66 (tptp.isFinite0 @t62))))))
% 163.18/163.49  (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t66 (tptp.isFinite0 @t65))))))
% 163.18/163.49  (assume @p23 (and @t67 (tptp.isCountable0 tptp.szNzAzT0)))
% 163.18/163.49  (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0))
% 163.18/163.49  (assume @p25 @t74)
% 163.18/163.49  (assume @p26 (forall @t34 (=> @t77 (=> (= @t68 @t75) @t32))))
% 163.18/163.49  (assume @p27 (forall @t3 (=> @t72 (or @t78 (exists @t8 (and @t76 (= @t1 @t75)))))))
% 163.18/163.49  (assume @p28 (forall @t3 (=> @t72 (not (= @t1 @t68)))))
% 163.18/163.49  (assume @p29 (forall @t34 (=> @t77 (=> @t79 true))))
% 163.18/163.49  (assume @p30 (forall @t3 (=> @t72 (tptp.sdtlseqdt0 tptp.sz00 @t1))))
% 163.18/163.49  (assume @p31 (forall @t3 (=> @t72 (not (tptp.sdtlseqdt0 @t68 tptp.sz00)))))
% 163.18/163.49  (assume @p32 (forall @t34 (=> @t77 (= @t79 (tptp.sdtlseqdt0 @t68 @t75)))))
% 163.18/163.49  (assume @p33 (forall @t3 (=> @t72 (tptp.sdtlseqdt0 @t1 @t68))))
% 163.18/163.49  (assume @p34 (forall @t3 (=> @t72 (tptp.sdtlseqdt0 @t1 @t1))))
% 163.18/163.49  (assume @p35 (forall @t34 (=> @t77 (=> (and @t79 @t80) @t32))))
% 163.18/163.49  (assume @p36 (forall @t41 (=> (and @t72 @t76 @t82) (=> (and @t79 @t81) (tptp.sdtlseqdt0 @t1 @t18)))))
% 163.18/163.49  (assume @p37 (forall @t34 (=> @t77 (or @t79 (tptp.sdtlseqdt0 @t75 @t1)))))
% 163.18/163.49  (assume @p38 (forall @t34 (=> @t77 (=> (tptp.iLess0 @t1 @t5) true))))
% 163.18/163.49  (assume @p39 (forall @t3 (=> @t72 (tptp.iLess0 @t1 @t68))))
% 163.18/163.49  (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t83))))
% 163.18/163.49  (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t83 tptp.szNzAzT0) @t12))))
% 163.18/163.49  (assume @p42 (forall @t3 (=> @t2 (= (= @t83 tptp.sz00) @t13))))
% 163.18/163.49  (assume @p43 (forall @t3 (=> @t31 (forall @t8 (=> @t6 (=> @t84 (= (tptp.sbrdtbr0 @t49) (tptp.szszuzczcdt0 @t83))))))))
% 163.18/163.49  (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t56)) @t83))))))
% 163.18/163.49  (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t25) (tptp.sdtlseqdt0 (tptp.sbrdtbr0 @t5) @t83))))))
% 163.18/163.49  (assume @p46 (forall @t34 (=> @t85 (=> (and @t12 (tptp.sdtlseqdt0 @t5 @t83)) (exists @t21 (and (tptp.aSubsetOf0 @t18 @t1) (= (tptp.sbrdtbr0 @t18) @t5)))))))
% 163.18/163.49  (assume @p47 (forall @t3 (=> (and @t87 @t17) (forall @t8 (= (= @t5 @t86) (and @t7 (forall @t21 (=> @t19 @t81))))))))
% 163.18/163.49  (assume @p48 (forall @t3 (=> (and @t87 @t12 @t17) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t21 (=> @t19 (tptp.sdtlseqdt0 @t18 @t5)))))))))
% 163.18/163.49  (assume @p49 (forall @t34 (=> (and @t87 @t89 @t17 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t86 @t5) (tptp.aElementOf0 @t88 @t1)) (= @t86 @t88)))))
% 163.18/163.49  (assume @p50 (forall @t3 (=> @t72 (forall @t8 (= (= @t5 @t90) (and @t23 (forall @t21 (= @t20 (and @t82 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t18) @t1))))))))))
% 163.18/163.49  (assume @p51 (forall @t3 (=> @t72 (tptp.isFinite0 @t90))))
% 163.18/163.49  (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0))
% 163.18/163.49  (assume @p53 (forall @t34 (=> @t77 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t75)) (or (tptp.aElementOf0 @t1 @t91) @t32)))))
% 163.18/163.49  (assume @p54 (forall @t34 (=> @t77 (= @t79 (tptp.aSubsetOf0 @t90 @t91)))))
% 163.18/163.49  (assume @p55 (forall @t3 (=> (and @t87 @t12) (exists @t8 (and @t76 (tptp.aSubsetOf0 @t1 @t91))))))
% 163.18/163.49  (assume @p56 (forall @t3 (=> @t72 (= (tptp.sbrdtbr0 @t90) @t1))))
% 163.18/163.49  (assume @p57 @t103)
% 163.18/163.49  (assume @p58 (forall @t3 (=> @t31 (forall @t8 (=> @t76 (tptp.isFinite0 @t98))))))
% 163.18/163.49  (assume @p59 (forall @t3 (=> (and @t2 @t15) (forall @t8 (=> @t76 (not (= @t98 tptp.slcrc0)))))))
% 163.18/163.49  (assume @p60 (forall @t3 (=> @t16 (forall @t8 (=> (and @t76 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t98))))))
% 163.18/163.49  (assume @p61 (forall @t3 (=> @t72 (forall (@list @t5 @t18) (=> (and @t23 @t39 (not @t78)) (=> (and (tptp.aSubsetOf0 @t104 (tptp.slbdtsldtrb0 @t18 @t1)) (not (= @t104 tptp.slcrc0))) @t36))))))
% 163.18/163.49  (assume @p62 (forall @t34 (=> @t85 (forall @t21 (=> (and (tptp.aSubsetOf0 @t18 @t98) (tptp.isFinite0 @t18)) (exists @t48 (and @t93 (tptp.isFinite0 @t43) (tptp.aSubsetOf0 @t18 (tptp.slbdtsldtrb0 @t43 @t5)))))))))
% 163.18/163.49  (assume @p63 (forall @t3 (=> @t105 true)))
% 163.18/163.49  (assume @p64 (forall @t3 (=> @t105 (tptp.aSet0 @t106))))
% 163.18/163.49  (assume @p65 (forall @t3 (=> @t105 (forall @t8 (=> @t108 (tptp.aElement0 @t107))))))
% 163.18/163.49  (assume @p66 (forall @t34 (=> @t112 (forall @t21 (= (= @t18 @t111) (and @t39 (forall @t48 (= @t47 (and @t110 (= @t109 @t5))))))))))
% 163.18/163.49  (assume @p67 (forall @t34 (=> @t112 (tptp.aSubsetOf0 @t111 @t106))))
% 163.18/163.49  (assume @p68 (forall @t3 (=> @t105 (forall @t8 (=> @t116 (forall @t21 (= (= @t18 @t115) (and @t39 (forall @t48 (= @t47 (exists @t114 (and (tptp.aElementOf0 @t113 @t5) (= (tptp.sdtlpdtrp0 @t1 @t113) @t43)))))))))))))
% 163.18/163.49  (assume @p69 (forall @t3 (=> @t105 (forall @t8 (=> @t108 (tptp.aElementOf0 @t107 @t117))))))
% 163.18/163.49  (assume @p70 (forall @t3 (=> @t105 (forall @t8 (=> @t116 (forall @t21 (= (= @t18 (tptp.sdtexdt0 @t1 @t5)) (and @t119 (= @t118 @t5) (forall @t48 (=> (tptp.aElementOf0 @t43 @t5) (= (tptp.sdtlpdtrp0 @t18 @t43) @t109)))))))))))
% 163.18/163.49  (assume @p71 (forall @t3 (=> @t105 (forall @t8 (=> (and @t116 @t63) (=> (forall (@list @t18 @t43) (=> (and (tptp.aElementOf0 @t18 @t106) @t110 (not (= @t18 @t43))) (not (= (tptp.sdtlpdtrp0 @t1 @t18) @t109)))) (tptp.isCountable0 @t115)))))))
% 163.18/163.49  (assume @p72 (forall @t3 (=> @t105 (=> (and (tptp.isCountable0 @t106) (tptp.isFinite0 @t117)) (and (tptp.aElement0 @t120) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t120)))))))
% 163.18/163.49  (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT)))
% 163.18/163.49  (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0))
% 163.18/163.49  (assume @p75 (and (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS)))
% 163.18/163.49  (assume @p76 (and (tptp.aFunction0 tptp.xc) (= @t121 @t122) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xc @t121) tptp.xT)))
% 163.18/163.49  (assume @p77 (forall @t3 (=> @t72 (forall @t8 (=> (and @t89 @t63) (forall @t21 (=> (and @t119 (= @t118 @t104) (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t18 @t118) tptp.xT)) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t48 (and (tptp.aElementOf0 @t43 tptp.xT) (exists @t114 (and (tptp.aSubsetOf0 @t113 @t5) (tptp.isCountable0 @t113) (forall (@list @t123) (=> (tptp.aElementOf0 @t123 (tptp.slbdtsldtrb0 @t113 @t1)) (= (tptp.sdtlpdtrp0 @t18 @t123) @t43)))))))))))))))
% 163.18/163.49  (assume @p78 (not (= tptp.xK tptp.sz00)))
% 163.18/163.49  (assume @p79 (and @t124 (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK)))
% 163.18/163.49  (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t135 tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) @t134))
% 163.18/163.49  (assume @p81 @t136)
% 163.18/163.49  (assume @p82 (forall @t34 (=> @t77 (=> @t80 (tptp.aSubsetOf0 @t126 @t137)))))
% 163.18/163.49  (assume @p83 (forall @t34 (=> (and @t72 @t76 (not @t32)) (not (= @t127 (tptp.szmzizndt0 @t137))))))
% 163.18/163.49  (assume @p84 (forall @t3 (=> @t72 (forall @t8 (=> @t140 (tptp.aElementOf0 @t138 @t122))))))
% 163.18/163.49  (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) (forall @t3 (=> @t72 (and (tptp.aFunction0 @t141) (= @t143 @t139) (forall @t8 (=> @t140 (= @t142 (tptp.sdtlpdtrp0 tptp.xc @t138)))))))))
% 163.18/163.49  (assume @p86 (forall @t3 (=> @t72 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 @t141 @t143) tptp.xT))))
% 163.18/163.49  (assume @p87 (forall @t3 (=> @t72 (forall @t8 (=> (and (tptp.aSubsetOf0 @t5 @t128) @t63) (forall @t21 (=> (and @t39 (tptp.aElementOf0 @t18 (tptp.slbdtsldtrb0 @t5 tptp.xk))) (tptp.aElementOf0 @t18 @t139))))))))
% 163.18/163.49  (assume @p88 (forall @t3 (=> @t72 (exists @t8 (and @t144 (exists @t21 (and (tptp.aSubsetOf0 @t18 @t128) (tptp.isCountable0 @t18) (forall @t48 (=> (and (tptp.aSet0 @t43) (tptp.aElementOf0 @t43 (tptp.slbdtsldtrb0 @t18 tptp.xk))) (= (tptp.sdtlpdtrp0 @t141 @t43) @t5))))))))))
% 163.18/163.49  (assume @p89 (forall @t3 (=> @t72 (exists @t8 (and @t144 (forall @t21 (=> (and @t39 (tptp.aElementOf0 @t18 @t145)) (= (tptp.sdtlpdtrp0 @t141 @t18) @t5))))))))
% 163.18/163.49  (assume @p90 (and (tptp.aFunction0 tptp.xe) (= (tptp.szDzozmdt0 tptp.xe) tptp.szNzAzT0) @t148))
% 163.18/163.49  (assume @p91 (and (tptp.aFunction0 tptp.xd) (= @t149 tptp.szNzAzT0) (forall @t3 (=> @t72 (forall @t8 (=> (and @t23 (tptp.aElementOf0 @t5 @t145)) (= (tptp.sdtlpdtrp0 tptp.xd @t1) @t142)))))))
% 163.18/163.49  (assume @p92 (tptp.aSubsetOf0 (tptp.sdtlcdtrc0 tptp.xd @t149) tptp.xT))
% 163.18/163.49  (assume @p93 (and (tptp.aElementOf0 @t150 tptp.xT) (tptp.isCountable0 @t151)))
% 163.18/163.49  (assume @p94 (and @t153 (= tptp.xO @t152)))
% 163.18/163.49  (assume @p95 (and @t153 (tptp.isCountable0 tptp.xO)))
% 163.18/163.49  (assume @p96 (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xO) (exists @t8 (and @t76 (tptp.aElementOf0 @t5 @t151) (= (tptp.sdtlpdtrp0 tptp.xe @t5) @t1))))))
% 163.18/163.49  (assume @p97 (tptp.aSubsetOf0 tptp.xO tptp.xS))
% 163.18/163.49  (assume @p98 (tptp.aElementOf0 tptp.xQ (tptp.slbdtsldtrb0 tptp.xO tptp.xK)))
% 163.18/163.49  (assume @p99 (and (tptp.aSubsetOf0 tptp.xQ tptp.xO) (not (= tptp.xQ tptp.slcrc0))))
% 163.18/163.49  (assume @p100 (tptp.aSubsetOf0 tptp.xQ tptp.szNzAzT0))
% 163.18/163.49  (assume @p101 (tptp.aElementOf0 tptp.xQ @t121))
% 163.18/163.49  (assume @p102 (= tptp.xp @t154))
% 163.18/163.49  (assume @p103 (and @t156 (= tptp.xP @t155)))
% 163.18/163.49  (assume @p104 (tptp.aElementOf0 tptp.xp tptp.xQ))
% 163.18/163.49  (assume @p105 @t157)
% 163.18/163.49  (assume @p106 (tptp.aSubsetOf0 tptp.xP tptp.xQ))
% 163.18/163.49  (assume @p107 (tptp.aSubsetOf0 tptp.xP tptp.xO))
% 163.18/163.49  (assume @p108 (= @t158 tptp.xk))
% 163.18/163.49  (assume @p109 (tptp.aElementOf0 tptp.xP (tptp.slbdtsldtrb0 tptp.xO tptp.xk)))
% 163.18/163.49  (assume @p110 (and (tptp.aElementOf0 tptp.xn @t151) @t160 (= @t159 tptp.xp)))
% 163.18/163.49  (assume @p111 (= (tptp.sdtlpdtrp0 tptp.xd tptp.xn) @t150))
% 163.18/163.49  (assume @p112 @t163)
% 163.18/163.49  (assume @p113 (= tptp.xD @t166))
% 163.18/163.49  (assume @p114 @t169)
% 163.18/163.49  (assume @p115 true)
% 163.18/163.49  (step @p116 :rule aci_norm :args ((= (or @t177 @t176) @t175)))
% 163.18/163.49  (step @p117 :rule aci_norm :args ((= (or (or @t171 @t170) @t35) @t176)))
% 163.18/163.49  (step @p118 :rule refl :args (@t35))
% 163.18/163.49  (step @p119 :rule bool-and-de-morgan :args (@t33 @t36 true))
% 163.18/163.49  (step @p120 :rule nary_cong :premises (@p119 @p118) :args ((or (not @t37) @t35)))
% 163.18/163.49  (step @p121 :rule trans :premises (@p120 @p117))
% 163.18/163.49  (step @p122 :rule bool-impl-elim :args (@t37 @t35))
% 163.18/163.49  (step @p123 :rule trans :premises (@p122 @p121))
% 163.18/163.49  (step @p124 :rule aci_norm :args ((= (or @t174 (or @t173 @t172)) @t177)))
% 163.18/163.49  (step @p125 :rule bool-and-de-morgan :args (@t23 @t39 true))
% 163.18/163.49  (step @p126 :rule refl :args (@t174))
% 163.18/163.49  (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or @t174 (not (and @t23 @t39)))))
% 163.18/163.49  (step @p128 :rule bool-and-de-morgan :args (@t2 @t23 (and @t39)))
% 163.18/163.49  (step @p129 :rule trans :premises (@p128 @p127))
% 163.18/163.49  (step @p130 :rule trans :premises (@p129 @p124))
% 163.18/163.49  (step @p131 :rule nary_cong :premises (@p130 @p123) :args ((or (not @t40) @t38)))
% 163.18/163.49  (step @p132 :rule trans :premises (@p131 @p116))
% 163.18/163.49  (step @p133 :rule bool-impl-elim :args (@t40 @t38))
% 163.18/163.49  (step @p134 :rule trans :premises (@p133 @p132))
% 163.18/163.49  (step @p135 :rule cong :premises (@p134) :args (@t42))
% 163.18/163.49  (step @p136 :rule eq_resolve :premises (@p14 @p135))
% 163.18/163.49  (step @p137 :rule refl :args (@t182))
% 163.18/163.49  (step @p138 :rule and_elim :premises (@p80) :args (1))
% 163.18/163.49  (step @p139 :rule symm :premises (@p138))
% 163.18/163.49  (step @p140 :rule refl :args (@t5))
% 163.18/163.49  (step @p141 :rule cong :premises (@p140 @p139) :args (@t76))
% 163.18/163.49  (step @p142 :rule cong :premises (@p141) :args (@t183))
% 163.18/163.49  (step @p143 :rule refl :args (@t174))
% 163.18/163.49  (step @p144 :rule nary_cong :premises (@p143 @p142 @p137) :args (@t184))
% 163.18/163.49  (step @p145 :rule cong :premises (@p144) :args ((forall @t185 @t184)))
% 163.18/163.49  (step @p146 :rule eq-symm :args (@t179 @t180))
% 163.18/163.49  (step @p147 :rule cong :premises (@p146) :args (@t186))
% 163.18/163.49  (step @p148 :rule refl :args (@t181))
% 163.18/163.49  (step @p149 :rule nary_cong :premises (@p148 @p147) :args (@t187))
% 163.18/163.49  (step @p150 :rule eq-symm :args (@t178 @t98))
% 163.18/163.49  (step @p151 :rule cong :premises (@p150 @p149) :args (@t188))
% 163.18/163.49  (step @p152 :rule refl :args (@t183))
% 163.18/163.49  (step @p153 :rule nary_cong :premises (@p143 @p152 @p151) :args (@t189))
% 163.18/163.49  (step @p154 :rule cong :premises (@p153) :args (@t190))
% 163.18/163.49  (step @p155 :rule quant-merge-prenex :args ((= (forall @t34 @t192) @t190)))
% 163.18/163.49  (step @p156 :rule alpha_equiv :args (@t193 (@list @t178) @t194))
% 163.18/163.49  (step @p157 :rule refl :args (@t183))
% 163.18/163.49  (step @p158 :rule nary_cong :premises (@p126 @p157 @p156) :args (@t195))
% 163.18/163.49  (step @p159 :rule quant-miniscope-or :args ((= @t192 @t195)))
% 163.18/163.49  (step @p160 :rule trans :premises (@p159 @p158))
% 163.18/163.49  (step @p161 :rule symm :premises (@p160))
% 163.18/163.49  (step @p162 :rule cong :premises (@p161) :args ((forall @t34 @t197)))
% 163.18/163.49  (step @p163 :rule trans :premises (@p162 @p155))
% 163.18/163.49  (step @p164 :rule trans :premises (@p163 @p154))
% 163.18/163.49  (step @p165 :rule aci_norm :args ((= (or (or @t174 @t183) @t196) @t197)))
% 163.18/163.49  (step @p166 :rule refl :args (@t196))
% 163.18/163.49  (step @p167 :rule bool-and-de-morgan :args (@t2 @t76 true))
% 163.18/163.49  (step @p168 :rule nary_cong :premises (@p167 @p166) :args ((or (not @t85) @t196)))
% 163.18/163.49  (step @p169 :rule trans :premises (@p168 @p165))
% 163.18/163.49  (step @p170 :rule bool-impl-elim :args (@t85 @t196))
% 163.18/163.49  (step @p171 :rule trans :premises (@p170 @p169))
% 163.18/163.49  (step @p172 :rule cong :premises (@p171) :args ((forall @t34 (=> @t85 @t196))))
% 163.18/163.49  (step @p173 :rule trans :premises (@p172 @p164))
% 163.18/163.49  (step @p174 :rule eq-symm :args (@t92 @t5))
% 163.18/163.49  (step @p175 :rule refl :args (@t93))
% 163.18/163.49  (step @p176 :rule nary_cong :premises (@p175 @p174) :args (@t94))
% 163.18/163.49  (step @p177 :rule refl :args (@t47))
% 163.18/163.49  (step @p178 :rule cong :premises (@p177 @p176) :args (@t95))
% 163.18/163.49  (step @p179 :rule cong :premises (@p178) :args (@t96))
% 163.18/163.49  (step @p180 :rule refl :args (@t39))
% 163.18/163.49  (step @p181 :rule nary_cong :premises (@p180 @p179) :args (@t97))
% 163.18/163.49  (step @p182 :rule refl :args (@t99))
% 163.18/163.49  (step @p183 :rule cong :premises (@p182 @p181) :args (@t100))
% 163.18/163.49  (step @p184 :rule cong :premises (@p183) :args (@t101))
% 163.18/163.49  (step @p185 :rule refl :args (@t85))
% 163.18/163.49  (step @p186 :rule cong :premises (@p185 @p184) :args (@t102))
% 163.18/163.49  (step @p187 :rule cong :premises (@p186) :args (@t103))
% 163.18/163.49  (step @p188 :rule trans :premises (@p187 @p173))
% 163.18/163.49  (step @p189 :rule trans :premises (@p188 @p145))
% 163.18/163.49  (step @p190 :rule eq_resolve :premises (@p57 @p189))
% 163.18/163.49  (step @p191 :rule bool-eq-true :args (@t205))
% 163.18/163.49  (step @p192 :rule eq-symm :args (true @t205))
% 163.18/163.49  (step @p193 :rule trans :premises (@p192 @p191))
% 163.18/163.49  (step @p194 :rule eq-symm :args (@t200 @t202))
% 163.18/163.49  (step @p195 :rule refl :args (@t202))
% 163.18/163.49  (step @p196 :rule eq-symm :args (@t198 @t92))
% 163.18/163.49  (step @p197 :rule refl :args (@t199))
% 163.18/163.49  (step @p198 :rule nary_cong :premises (@p197 @p196) :args (@t206))
% 163.18/163.49  (step @p199 :rule cong :premises (@p198 @p195) :args (@t207))
% 163.18/163.49  (step @p200 :rule trans :premises (@p199 @p194))
% 163.18/163.49  (step @p201 :rule cong :premises (@p200) :args (@t208))
% 163.18/163.49  (step @p202 :rule refl :args (@t204))
% 163.18/163.49  (step @p203 :rule nary_cong :premises (@p202 @p201) :args (@t209))
% 163.18/163.49  (step @p204 :rule eq-refl :args (@t201))
% 163.18/163.49  (step @p205 :rule cong :premises (@p204 @p203) :args (@t210))
% 163.18/163.49  (step @p206 :rule trans :premises (@p205 @p193))
% 163.18/163.49  (step @p207 :rule refl :args (@t212))
% 163.18/163.49  (step @p208 :rule refl :args (@t214))
% 163.18/163.49  (step @p209 :rule nary_cong :premises (@p208 @p207 @p206) :args (@t215))
% 163.18/163.49  (step @p210 :rule refl :args (@t216))
% 163.18/163.49  (step @p211 :rule cong :premises (@p210 @p209) :args ((=> @t216 @t215)))
% 163.18/163.49  (assume-push @p555 @t216)
% 163.18/163.49  (step @p213 :rule instantiate :premises (@p190) :args ((@list @t166 @t198 @t201)))
% 163.18/163.49  (step-pop @p556 :rule scope :premises (@p213))
% 163.18/163.49  (step @p214 :rule process_scope :premises (@p556) :args (@t215))
% 163.18/163.49  (step @p216 :rule eq_resolve :premises (@p214 @p211))
% 163.18/163.49  (step @p217 :rule implies_elim :premises (@p216))
% 163.18/163.49  (step @p218 :rule chain_m_resolution :premises (@p217 @p190) :args (@t217 @t218 (@list @t216)))
% 163.18/163.49  (step @p219 :rule eq-symm :args (@t220 @t221))
% 163.18/163.49  (step @p220 :rule cong :premises (@p219) :args (@t222))
% 163.18/163.49  (step @p221 :rule refl :args (@t223))
% 163.18/163.49  (step @p222 :rule nary_cong :premises (@p221 @p220) :args (@t224))
% 163.18/163.49  (step @p223 :rule eq-symm :args (@t219 @t56))
% 163.18/163.49  (step @p224 :rule cong :premises (@p223 @p222) :args (@t225))
% 163.18/163.49  (step @p225 :rule refl :args (@t226))
% 163.18/163.49  (step @p226 :rule nary_cong :premises (@p143 @p225 @p224) :args (@t227))
% 163.18/163.49  (step @p227 :rule cong :premises (@p226) :args (@t229))
% 163.18/163.49  (step @p228 :rule quant-merge-prenex :args ((= (forall @t34 @t231) @t229)))
% 163.18/163.49  (step @p229 :rule alpha_equiv :args (@t232 (@list @t219) @t194))
% 163.18/163.49  (step @p230 :rule refl :args (@t226))
% 163.18/163.49  (step @p231 :rule nary_cong :premises (@p126 @p230 @p229) :args (@t233))
% 163.18/163.49  (step @p232 :rule quant-miniscope-or :args ((= @t231 @t233)))
% 163.18/163.49  (step @p233 :rule trans :premises (@p232 @p231))
% 163.18/163.49  (step @p234 :rule symm :premises (@p233))
% 163.18/163.49  (step @p235 :rule cong :premises (@p234) :args ((forall @t34 @t235)))
% 163.18/163.49  (step @p236 :rule trans :premises (@p235 @p228))
% 163.18/163.49  (step @p237 :rule trans :premises (@p236 @p227))
% 163.18/163.49  (step @p238 :rule aci_norm :args ((= (or (or @t174 @t226) @t234) @t235)))
% 163.18/163.49  (step @p239 :rule refl :args (@t234))
% 163.18/163.49  (step @p240 :rule bool-and-de-morgan :args (@t2 @t6 true))
% 163.18/163.49  (step @p241 :rule nary_cong :premises (@p240 @p239) :args ((or (not @t50) @t234)))
% 163.18/163.49  (step @p242 :rule trans :premises (@p241 @p238))
% 163.18/163.49  (step @p243 :rule bool-impl-elim :args (@t50 @t234))
% 163.18/163.49  (step @p244 :rule trans :premises (@p243 @p242))
% 163.18/163.49  (step @p245 :rule cong :premises (@p244) :args ((forall @t34 (=> @t50 @t234))))
% 163.18/163.49  (step @p246 :rule trans :premises (@p245 @p237))
% 163.18/163.49  (step @p247 :rule eq-symm :args (@t43 @t5))
% 163.18/163.49  (step @p248 :rule cong :premises (@p247) :args (@t51))
% 163.18/163.49  (step @p249 :rule refl :args (@t45))
% 163.18/163.49  (step @p250 :rule refl :args (@t46))
% 163.18/163.49  (step @p251 :rule nary_cong :premises (@p250 @p249 @p248) :args (@t52))
% 163.18/163.49  (step @p252 :rule cong :premises (@p177 @p251) :args (@t53))
% 163.18/163.49  (step @p253 :rule cong :premises (@p252) :args (@t54))
% 163.18/163.49  (step @p254 :rule nary_cong :premises (@p180 @p253) :args (@t55))
% 163.18/163.49  (step @p255 :rule refl :args (@t57))
% 163.18/163.49  (step @p256 :rule cong :premises (@p255 @p254) :args (@t58))
% 163.18/163.49  (step @p257 :rule cong :premises (@p256) :args (@t59))
% 163.18/163.49  (step @p258 :rule refl :args (@t50))
% 163.18/163.49  (step @p259 :rule cong :premises (@p258 @p257) :args (@t60))
% 163.18/163.49  (step @p260 :rule cong :premises (@p259) :args (@t61))
% 163.18/163.49  (step @p261 :rule trans :premises (@p260 @p246))
% 163.18/163.49  (step @p262 :rule eq_resolve :premises (@p16 @p261))
% 163.18/163.49  (step @p263 :rule eq-symm :args (@t237 @t238))
% 163.18/163.49  (step @p264 :rule refl :args (@t238))
% 163.18/163.49  (step @p265 :rule eq-symm :args (@t159 @t43))
% 163.18/163.49  (step @p266 :rule cong :premises (@p265) :args (@t239))
% 163.18/163.49  (step @p267 :rule refl :args (@t236))
% 163.18/163.49  (step @p268 :rule nary_cong :premises (@p250 @p267 @p266) :args (@t240))
% 163.18/163.49  (step @p269 :rule cong :premises (@p268 @p264) :args (@t241))
% 163.18/163.49  (step @p270 :rule trans :premises (@p269 @p263))
% 163.18/163.49  (step @p271 :rule cong :premises (@p270) :args (@t242))
% 163.18/163.49  (step @p272 :rule refl :args (@t213))
% 163.18/163.49  (step @p273 :rule nary_cong :premises (@p272 @p271) :args (@t243))
% 163.18/163.49  (step @p274 :rule eq-symm :args (@t244 @t166))
% 163.18/163.49  (step @p275 :rule cong :premises (@p274 @p273) :args (@t245))
% 163.18/163.49  (step @p276 :rule refl :args (@t247))
% 163.18/163.49  (step @p277 :rule refl :args (@t249))
% 163.18/163.49  (step @p278 :rule nary_cong :premises (@p277 @p276 @p275) :args (@t250))
% 163.18/163.49  (step @p279 :rule refl :args (@t251))
% 163.18/163.49  (step @p280 :rule cong :premises (@p279 @p278) :args ((=> @t251 @t250)))
% 163.18/163.49  (assume-push @p557 @t251)
% 163.18/163.49  (step @p282 :rule instantiate :premises (@p262) :args ((@list @t164 @t159 @t166)))
% 163.18/163.49  (step-pop @p558 :rule scope :premises (@p282))
% 163.18/163.49  (step @p283 :rule process_scope :premises (@p558) :args (@t250))
% 163.18/163.49  (step @p285 :rule eq_resolve :premises (@p283 @p280))
% 163.18/163.49  (step @p286 :rule implies_elim :premises (@p285))
% 163.18/163.49  (step @p287 :rule chain_m_resolution :premises (@p286 @p262) :args (@t255 @t218 (@list @t251)))
% 163.18/163.49  (step @p288 :rule aci_norm :args ((= @t260 (or @t174 @t258 @t257))))
% 163.18/163.49  (step @p289 :rule cong :premises (@p288) :args (@t261))
% 163.18/163.49  (step @p290 :rule quant-merge-prenex :args ((= (forall @t3 @t263) @t261)))
% 163.18/163.49  (step @p291 :rule alpha_equiv :args (@t264 (@list @t256) @t265))
% 163.18/163.49  (step @p292 :rule nary_cong :premises (@p126 @p291) :args (@t266))
% 163.18/163.49  (step @p293 :rule quant-miniscope-or :args ((= @t263 @t266)))
% 163.18/163.49  (step @p294 :rule trans :premises (@p293 @p292))
% 163.18/163.49  (step @p295 :rule symm :premises (@p294))
% 163.18/163.49  (step @p296 :rule cong :premises (@p295) :args ((forall @t3 (or @t174 @t267))))
% 163.18/163.49  (step @p297 :rule trans :premises (@p296 @p290))
% 163.18/163.49  (step @p298 :rule trans :premises (@p297 @p289))
% 163.18/163.49  (step @p299 :rule bool-impl-elim :args (@t2 @t267))
% 163.18/163.49  (step @p300 :rule cong :premises (@p299) :args ((forall @t3 (=> @t2 @t267))))
% 163.18/163.49  (step @p301 :rule trans :premises (@p300 @p298))
% 163.18/163.49  (step @p302 :rule bool-impl-elim :args (@t7 @t6))
% 163.18/163.49  (step @p303 :rule cong :premises (@p302) :args (@t9))
% 163.18/163.49  (step @p304 :rule refl :args (@t2))
% 163.18/163.49  (step @p305 :rule cong :premises (@p304 @p303) :args (@t10))
% 163.18/163.49  (step @p306 :rule cong :premises (@p305) :args (@t11))
% 163.18/163.49  (step @p307 :rule trans :premises (@p306 @p301))
% 163.18/163.49  (step @p308 :rule eq_resolve :premises (@p3 @p307))
% 163.18/163.49  (step @p309 :rule instantiate :premises (@p308) :args ((@list @t152 @t154)))
% 163.18/163.49  (step @p310 :rule and_elim :premises (@p94) :args (1))
% 163.18/163.49  (step @p311 :rule cong :premises (@p102 @p310) :args (@t157))
% 163.18/163.49  (step @p312 :rule eq_resolve :premises (@p105 @p311))
% 163.18/163.49  (step @p313 :rule cong :premises (@p310) :args (@t153))
% 163.18/163.49  (step @p314 :rule and_elim :premises (@p94) :args (0))
% 163.18/163.49  (step @p315 :rule eq_resolve :premises (@p314 @p313))
% 163.18/163.49  (step @p316 :rule cnf_or_pos :args (@t273))
% 163.18/163.49  (step @p317 :rule reordering :premises (@p316) :args ((or @t272 @t270 @t268 (not @t273))))
% 163.18/163.49  (step @p318 :rule chain_m_resolution :premises (@p317 @p315 @p312 @p309) :args (@t268 @t274 (@list @t271 @t269 @t273)))
% 163.18/163.49  (step @p319 :rule true_intro :premises (@p318))
% 163.18/163.49  (step @p320 :rule refl :args (@t159))
% 163.18/163.49  (step @p321 :rule cong :premises (@p102 @p320) :args ((= tptp.xp @t159)))
% 163.18/163.49  (step @p322 :rule eq-symm :args (@t159 tptp.xp))
% 163.18/163.49  (step @p323 :rule trans :premises (@p322 @p321))
% 163.18/163.49  (step @p324 :rule and_elim :premises (@p110) :args (2))
% 163.18/163.49  (step @p325 :rule eq_resolve :premises (@p324 @p323))
% 163.18/163.49  (step @p326 :rule symm :premises (@p325))
% 163.18/163.49  (step @p327 :rule cong :premises (@p326) :args (@t246))
% 163.18/163.49  (step @p328 :rule trans :premises (@p327 @p319))
% 163.18/163.49  (step @p329 :rule true_elim :premises (@p328))
% 163.18/163.49  (step @p330 :rule quant-merge-prenex :args ((= (forall @t3 @t279) (forall (@list @t1 @t275) @t277))))
% 163.18/163.49  (step @p331 :rule alpha_equiv :args (@t280 (@list @t275) @t265))
% 163.18/163.49  (step @p332 :rule nary_cong :premises (@p126 @p331) :args (@t281))
% 163.18/163.49  (step @p333 :rule quant-miniscope-or :args ((= @t279 @t281)))
% 163.18/163.49  (step @p334 :rule trans :premises (@p333 @p332))
% 163.18/163.49  (step @p335 :rule symm :premises (@p334))
% 163.18/163.49  (step @p336 :rule cong :premises (@p335) :args ((forall @t3 (or @t174 @t282))))
% 163.18/163.49  (step @p337 :rule trans :premises (@p336 @p330))
% 163.18/163.49  (step @p338 :rule bool-impl-elim :args (@t2 @t282))
% 163.18/163.49  (step @p339 :rule cong :premises (@p338) :args ((forall @t3 (=> @t2 @t282))))
% 163.18/163.49  (step @p340 :rule trans :premises (@p339 @p337))
% 163.18/163.49  (step @p341 :rule bool-impl-elim :args (@t20 @t19))
% 163.18/163.49  (step @p342 :rule cong :premises (@p341) :args (@t22))
% 163.18/163.49  (step @p343 :rule refl :args (@t23))
% 163.18/163.49  (step @p344 :rule nary_cong :premises (@p343 @p342) :args (@t24))
% 163.18/163.49  (step @p345 :rule refl :args (@t25))
% 163.18/163.49  (step @p346 :rule cong :premises (@p345 @p344) :args (@t26))
% 163.18/163.49  (step @p347 :rule cong :premises (@p346) :args (@t27))
% 163.18/163.49  (step @p348 :rule cong :premises (@p304 @p347) :args (@t28))
% 163.18/163.49  (step @p349 :rule cong :premises (@p348) :args (@t29))
% 163.18/163.49  (step @p350 :rule trans :premises (@p349 @p340))
% 163.18/163.49  (step @p351 :rule eq_resolve :premises (@p10 @p350))
% 163.18/163.49  (step @p352 :rule instantiate :premises (@p351) :args ((@list @t135 @t164)))
% 163.18/163.49  (step @p353 :rule cong :premises (@p139) :args (@t67))
% 163.18/163.49  (step @p354 :rule and_elim :premises (@p23) :args (0))
% 163.18/163.49  (step @p355 :rule eq_resolve :premises (@p354 @p353))
% 163.18/163.49  (step @p356 :rule cnf_or_pos :args (@t289))
% 163.18/163.49  (step @p357 :rule reordering :premises (@p356) :args ((or @t288 @t286 (not @t289))))
% 163.18/163.49  (step @p358 :rule chain_m_resolution :premises (@p357 @p355 @p352) :args (@t286 @t290 (@list @t287 @t289)))
% 163.18/163.49  (step @p359 :rule refl :args (@t130))
% 163.18/163.49  (step @p360 :rule refl :args (@t126))
% 163.18/163.49  (step @p361 :rule cong :premises (@p360 @p139) :args (@t131))
% 163.18/163.49  (step @p362 :rule nary_cong :premises (@p361 @p359) :args (@t132))
% 163.18/163.49  (step @p363 :rule refl :args (@t1))
% 163.18/163.49  (step @p364 :rule cong :premises (@p363 @p139) :args (@t72))
% 163.18/163.49  (step @p365 :rule cong :premises (@p364) :args (@t291))
% 163.18/163.49  (step @p366 :rule nary_cong :premises (@p365 @p362) :args (@t292))
% 163.18/163.49  (step @p367 :rule cong :premises (@p366) :args ((forall @t3 @t292)))
% 163.18/163.49  (step @p368 :rule bool-impl-elim :args (@t72 @t132))
% 163.18/163.49  (step @p369 :rule cong :premises (@p368) :args (@t136))
% 163.18/163.49  (step @p370 :rule trans :premises (@p369 @p367))
% 163.18/163.49  (step @p371 :rule eq_resolve :premises (@p81 @p370))
% 163.18/163.49  (step @p372 :rule instantiate :premises (@p371) :args (@t293))
% 163.18/163.49  (step @p373 :rule refl :args (tptp.xn))
% 163.18/163.49  (step @p374 :rule cong :premises (@p373 @p139) :args (@t160))
% 163.18/163.49  (step @p375 :rule and_elim :premises (@p110) :args (1))
% 163.18/163.49  (step @p376 :rule eq_resolve :premises (@p375 @p374))
% 163.18/163.49  (step @p377 :rule cnf_or_pos :args (@t298))
% 163.18/163.49  (step @p378 :rule reordering :premises (@p377) :args ((or @t297 @t295 (not @t298))))
% 163.18/163.49  (step @p379 :rule chain_m_resolution :premises (@p378 @p376 @p372) :args (@t295 @t290 (@list @t296 @t298)))
% 163.18/163.49  (step @p380 :rule cnf_and_pos :args (@t295 0))
% 163.18/163.49  (step @p381 :rule reordering :premises (@p380) :args ((or @t285 @t299)))
% 163.18/163.49  (step @p382 :rule chain_m_resolution :premises (@p381 @p379) :args (@t285 @t218 @t300))
% 163.18/163.49  (step @p383 :rule cnf_equiv_pos1 :args (@t286))
% 163.18/163.49  (step @p384 :rule reordering :premises (@p383) :args ((or @t301 @t284 (not @t286))))
% 163.18/163.49  (step @p385 :rule chain_m_resolution :premises (@p384 @p382 @p358) :args (@t284 @t290 (@list @t285 @t286)))
% 163.18/163.49  (step @p386 :rule cnf_and_pos :args (@t284 0))
% 163.18/163.49  (step @p387 :rule reordering :premises (@p386) :args ((or @t248 (not @t284))))
% 163.18/163.49  (step @p388 :rule chain_m_resolution :premises (@p387 @p385) :args (@t248 @t218 (@list @t284)))
% 163.18/163.49  (step @p389 :rule cnf_or_pos :args (@t255))
% 163.18/163.49  (step @p390 :rule reordering :premises (@p389) :args ((or @t249 @t247 @t254 (not @t255))))
% 163.18/163.49  (step @p391 :rule chain_m_resolution :premises (@p390 @p388 @p329 @p287) :args (@t254 @t274 (@list @t248 @t246 @t255)))
% 163.18/163.49  (step @p392 :rule refl :args (@t302))
% 163.18/163.49  (step @p393 :rule nary_cong :premises (@p365 @p392) :args (@t303))
% 163.18/163.49  (step @p394 :rule cong :premises (@p393) :args ((forall @t3 @t303)))
% 163.18/163.49  (step @p395 :rule bool-impl-elim :args (@t72 @t302))
% 163.18/163.49  (step @p396 :rule cong :premises (@p395) :args ((forall @t3 (=> @t72 @t302))))
% 163.18/163.49  (step @p397 :rule eq-symm :args (@t146 @t127))
% 163.18/163.49  (step @p398 :rule refl :args (@t72))
% 163.18/163.49  (step @p399 :rule cong :premises (@p398 @p397) :args (@t147))
% 163.18/163.49  (step @p400 :rule cong :premises (@p399) :args (@t148))
% 163.18/163.49  (step @p401 :rule trans :premises (@p400 @p396))
% 163.18/163.49  (step @p402 :rule trans :premises (@p401 @p394))
% 163.18/163.49  (step @p403 :rule and_elim :premises (@p90) :args (2))
% 163.18/163.49  (step @p404 :rule eq_resolve :premises (@p403 @p402))
% 163.18/163.49  (step @p405 :rule eq-symm :args (@t165 @t159))
% 163.18/163.49  (step @p406 :rule refl :args (@t297))
% 163.18/163.49  (step @p407 :rule nary_cong :premises (@p406 @p405) :args (@t304))
% 163.18/163.49  (step @p408 :rule refl :args (@t305))
% 163.18/163.49  (step @p409 :rule cong :premises (@p408 @p407) :args ((=> @t305 @t304)))
% 163.18/163.49  (assume-push @p559 @t305)
% 163.18/163.49  (step @p411 :rule instantiate :premises (@p404) :args (@t293))
% 163.18/163.49  (step-pop @p560 :rule scope :premises (@p411))
% 163.18/163.49  (step @p412 :rule process_scope :premises (@p560) :args (@t304))
% 163.18/163.49  (step @p414 :rule eq_resolve :premises (@p412 @p409))
% 163.18/163.49  (step @p415 :rule implies_elim :premises (@p414))
% 163.18/163.49  (step @p416 :rule chain_m_resolution :premises (@p415 @p404) :args (@t307 @t218 (@list @t305)))
% 163.18/163.49  (step @p417 :rule cnf_or_pos :args (@t307))
% 163.18/163.49  (step @p418 :rule reordering :premises (@p417) :args ((or @t297 @t306 (not @t307))))
% 163.18/163.49  (step @p419 :rule chain_m_resolution :premises (@p418 @p376 @p416) :args (@t306 @t290 (@list @t296 @t307)))
% 163.18/163.49  (step @p420 :rule symm :premises (@p419))
% 163.18/163.49  (step @p421 :rule refl :args (@t164))
% 163.18/163.49  (step @p422 :rule cong :premises (@p421 @p420) :args (@t166))
% 163.18/163.49  (step @p423 :rule cnf_equiv_pos1 :args (@t254))
% 163.18/163.49  (step @p424 :rule reordering :premises (@p423) :args ((or @t252 (not @t253) (not @t254))))
% 163.18/163.49  (step @p425 :rule chain_m_resolution :premises (@p424 @p422 @p391) :args (@t252 @t290 (@list @t253 @t254)))
% 163.18/163.49  (step @p426 :rule cnf_and_pos :args (@t252 0))
% 163.18/163.49  (step @p427 :rule reordering :premises (@p426) :args ((or @t213 (not @t252))))
% 163.18/163.49  (step @p428 :rule chain_m_resolution :premises (@p427 @p425) :args (@t213 @t218 (@list @t252)))
% 163.18/163.49  (step @p429 :rule and_elim :premises (@p103) :args (1))
% 163.18/163.49  (step @p430 :rule cong :premises (@p429) :args (@t158))
% 163.18/163.49  (step @p431 :rule refl :args (tptp.xk))
% 163.18/163.49  (step @p432 :rule cong :premises (@p431 @p430) :args ((= tptp.xk @t158)))
% 163.18/163.49  (step @p433 :rule symm :premises (@p108))
% 163.18/163.49  (step @p434 :rule eq_resolve :premises (@p433 @p432))
% 163.18/163.49  (step @p435 :rule cong :premises (@p434 @p139) :args (@t124))
% 163.18/163.49  (step @p436 :rule and_elim :premises (@p79) :args (0))
% 163.18/163.49  (step @p437 :rule eq_resolve :premises (@p436 @p435))
% 163.18/163.49  (step @p438 :rule cnf_or_pos :args (@t217))
% 163.18/163.49  (step @p439 :rule reordering :premises (@p438) :args ((or @t212 @t214 @t205 (not @t217))))
% 163.18/163.49  (step @p440 :rule chain_m_resolution :premises (@p439 @p437 @p428 @p218) :args (@t205 @t274 (@list @t211 @t213 @t217)))
% 163.18/163.49  (step @p441 :rule cnf_and_pos :args (@t205 1))
% 163.18/163.49  (step @p442 :rule reordering :premises (@p441) :args ((or @t203 (not @t205))))
% 163.18/163.49  (step @p443 :rule chain_m_resolution :premises (@p442 @p440) :args (@t203 @t218 (@list @t205)))
% 163.18/163.49  (step @p444 :rule aci_norm :args ((= (and @t308 true) @t308)))
% 163.18/163.49  (step @p445 :rule eq-refl :args (@t198))
% 163.18/163.49  (step @p446 :rule refl :args (@t308))
% 163.18/163.49  (step @p447 :rule nary_cong :premises (@p446 @p445) :args (@t309))
% 163.18/163.49  (step @p448 :rule trans :premises (@p447 @p444))
% 163.18/163.49  (step @p449 :rule refl :args (@t310))
% 163.18/163.49  (step @p450 :rule cong :premises (@p449 @p448) :args (@t311))
% 163.18/163.49  (step @p451 :rule refl :args (@t203))
% 163.18/163.49  (step @p452 :rule cong :premises (@p451 @p450) :args ((=> @t203 @t311)))
% 163.18/163.49  (assume-push @p561 @t203)
% 163.18/163.49  (step @p454 :rule instantiate :premises (@p443) :args ((@list @t155)))
% 163.18/163.49  (step-pop @p562 :rule scope :premises (@p454))
% 163.18/163.49  (step @p455 :rule process_scope :premises (@p562) :args (@t311))
% 163.18/163.49  (step @p457 :rule eq_resolve :premises (@p455 @p452))
% 163.18/163.49  (step @p458 :rule implies_elim :premises (@p457))
% 163.18/163.49  (step @p459 :rule chain_m_resolution :premises (@p458 @p443) :args (@t312 @t218 (@list @t203)))
% 163.18/163.49  (step @p460 :rule cong :premises (@p113 @p434) :args (@t167))
% 163.18/163.49  (step @p461 :rule cong :premises (@p429 @p460) :args (@t168))
% 163.18/163.49  (step @p462 :rule cong :premises (@p461) :args (@t169))
% 163.18/163.49  (step @p463 :rule eq_resolve :premises (@p114 @p462))
% 163.18/163.49  (step @p464 :rule cnf_equiv_pos2 :args (@t312))
% 163.18/163.49  (step @p465 :rule reordering :premises (@p464) :args ((or @t310 @t313 (not @t312))))
% 163.18/163.49  (step @p466 :rule chain_m_resolution :premises (@p465 @p463 @p459) :args (@t313 @t314 (@list @t310 @t312)))
% 163.18/163.49  (step @p467 :rule refl :args (@t129))
% 163.18/163.49  (step @p468 :rule refl :args (@t315))
% 163.18/163.49  (step @p469 :rule cong :premises (@p361) :args (@t316))
% 163.18/163.49  (step @p470 :rule nary_cong :premises (@p365 @p469 @p468 @p467) :args (@t317))
% 163.18/163.49  (step @p471 :rule cong :premises (@p470) :args ((forall @t3 @t317)))
% 163.18/163.49  (step @p472 :rule aci_norm :args ((= (or @t291 @t318) @t317)))
% 163.18/163.49  (step @p473 :rule aci_norm :args ((= (or (or @t316 @t315) @t129) @t318)))
% 163.18/163.49  (step @p474 :rule refl :args (@t129))
% 163.18/163.49  (step @p475 :rule bool-and-de-morgan :args (@t131 @t130 true))
% 163.18/163.49  (step @p476 :rule nary_cong :premises (@p475 @p474) :args ((or (not @t132) @t129)))
% 163.18/163.49  (step @p477 :rule trans :premises (@p476 @p473))
% 163.18/163.49  (step @p478 :rule bool-impl-elim :args (@t132 @t129))
% 163.18/163.49  (step @p479 :rule trans :premises (@p478 @p477))
% 163.18/163.49  (step @p480 :rule refl :args (@t291))
% 163.18/163.49  (step @p481 :rule nary_cong :premises (@p480 @p479) :args ((or @t291 @t133)))
% 163.18/163.49  (step @p482 :rule trans :premises (@p481 @p472))
% 163.18/163.49  (step @p483 :rule bool-impl-elim :args (@t72 @t133))
% 163.18/163.49  (step @p484 :rule trans :premises (@p483 @p482))
% 163.18/163.49  (step @p485 :rule cong :premises (@p484) :args (@t134))
% 163.18/163.49  (step @p486 :rule trans :premises (@p485 @p471))
% 163.18/163.49  (step @p487 :rule and_elim :premises (@p80) :args (3))
% 163.18/163.49  (step @p488 :rule eq_resolve :premises (@p487 @p486))
% 163.18/163.49  (step @p489 :rule instantiate :premises (@p488) :args (@t293))
% 163.18/163.49  (step @p490 :rule cnf_and_pos :args (@t295 1))
% 163.18/163.49  (step @p491 :rule reordering :premises (@p490) :args ((or @t294 @t299)))
% 163.18/163.49  (step @p492 :rule chain_m_resolution :premises (@p491 @p379) :args (@t294 @t218 @t300))
% 163.18/163.49  (step @p493 :rule cnf_or_pos :args (@t323))
% 163.18/163.49  (step @p494 :rule reordering :premises (@p493) :args ((or @t297 @t322 @t301 @t321 (not @t323))))
% 163.18/163.49  (step @p495 :rule chain_m_resolution :premises (@p494 @p376 @p492 @p382 @p489) :args (@t321 (@list false false false false) (@list @t296 @t294 @t285 @t323)))
% 163.18/163.49  (step @p496 :rule cnf_and_pos :args (@t321 0))
% 163.18/163.49  (step @p497 :rule reordering :premises (@p496) :args ((or @t320 (not @t321))))
% 163.18/163.49  (step @p498 :rule chain_m_resolution :premises (@p497 @p495) :args (@t320 @t218 (@list @t321)))
% 163.18/163.49  (step @p499 :rule instantiate :premises (@p351) :args ((@list @t135 @t162)))
% 163.18/163.49  (step @p500 :rule cnf_or_pos :args (@t328))
% 163.18/163.49  (step @p501 :rule reordering :premises (@p500) :args ((or @t288 @t327 (not @t328))))
% 163.18/163.49  (step @p502 :rule chain_m_resolution :premises (@p501 @p355 @p499) :args (@t327 @t290 (@list @t287 @t328)))
% 163.18/163.49  (step @p503 :rule instantiate :premises (@p371) :args ((@list @t161)))
% 163.18/163.49  (step @p504 :rule refl :args (@t329))
% 163.18/163.49  (step @p505 :rule refl :args (@t68))
% 163.18/163.49  (step @p506 :rule cong :premises (@p505 @p139) :args (@t70))
% 163.18/163.49  (step @p507 :rule nary_cong :premises (@p506 @p504) :args (@t330))
% 163.18/163.49  (step @p508 :rule nary_cong :premises (@p365 @p507) :args (@t331))
% 163.18/163.49  (step @p509 :rule cong :premises (@p508) :args ((forall @t3 @t331)))
% 163.18/163.49  (step @p510 :rule bool-impl-elim :args (@t72 @t330))
% 163.18/163.49  (step @p511 :rule cong :premises (@p510) :args ((forall @t3 (=> @t72 @t330))))
% 163.18/163.49  (step @p512 :rule eq-symm :args (@t68 tptp.sz00))
% 163.18/163.49  (step @p513 :rule cong :premises (@p512) :args (@t69))
% 163.18/163.49  (step @p514 :rule refl :args (@t70))
% 163.18/163.49  (step @p515 :rule nary_cong :premises (@p514 @p513) :args (@t71))
% 163.18/163.49  (step @p516 :rule cong :premises (@p398 @p515) :args (@t73))
% 163.18/163.49  (step @p517 :rule cong :premises (@p516) :args (@t74))
% 163.18/163.49  (step @p518 :rule trans :premises (@p517 @p511))
% 163.18/163.49  (step @p519 :rule trans :premises (@p518 @p509))
% 163.18/163.49  (step @p520 :rule eq_resolve :premises (@p25 @p519))
% 163.18/163.49  (step @p521 :rule instantiate :premises (@p520) :args (@t293))
% 163.18/163.49  (step @p522 :rule cnf_or_pos :args (@t334))
% 163.18/163.49  (step @p523 :rule reordering :premises (@p522) :args ((or @t297 @t333 (not @t334))))
% 163.18/163.49  (step @p524 :rule chain_m_resolution :premises (@p523 @p376 @p521) :args (@t333 @t290 (@list @t296 @t334)))
% 163.18/163.49  (step @p525 :rule cnf_and_pos :args (@t333 0))
% 163.18/163.49  (step @p526 :rule reordering :premises (@p525) :args ((or @t332 (not @t333))))
% 163.18/163.49  (step @p527 :rule chain_m_resolution :premises (@p526 @p524) :args (@t332 @t218 (@list @t333)))
% 163.18/163.49  (step @p528 :rule cnf_or_pos :args (@t337))
% 163.18/163.49  (step @p529 :rule reordering :premises (@p528) :args ((or @t336 @t335 (not @t337))))
% 163.18/163.49  (step @p530 :rule chain_m_resolution :premises (@p529 @p527 @p503) :args (@t335 @t290 (@list @t332 @t337)))
% 163.18/163.49  (step @p531 :rule cnf_and_pos :args (@t335 0))
% 163.18/163.49  (step @p532 :rule reordering :premises (@p531) :args ((or @t326 (not @t335))))
% 163.18/163.49  (step @p533 :rule chain_m_resolution :premises (@p532 @p530) :args (@t326 @t218 (@list @t335)))
% 163.18/163.49  (step @p534 :rule cnf_equiv_pos1 :args (@t327))
% 163.18/163.49  (step @p535 :rule reordering :premises (@p534) :args ((or (not @t326) @t325 (not @t327))))
% 163.18/163.49  (step @p536 :rule chain_m_resolution :premises (@p535 @p533 @p502) :args (@t325 @t290 (@list @t326 @t327)))
% 163.18/163.49  (step @p537 :rule cnf_and_pos :args (@t325 0))
% 163.18/163.49  (step @p538 :rule reordering :premises (@p537) :args ((or @t324 (not @t325))))
% 163.18/163.49  (step @p539 :rule chain_m_resolution :premises (@p538 @p536) :args (@t324 @t218 (@list @t325)))
% 163.18/163.49  (step @p540 :rule refl :args (@t162))
% 163.18/163.49  (step @p541 :rule cong :premises (@p429 @p540) :args (@t163))
% 163.18/163.49  (step @p542 :rule eq_resolve :premises (@p112 @p541))
% 163.18/163.49  (step @p543 :rule cong :premises (@p429) :args (@t156))
% 163.18/163.49  (step @p544 :rule and_elim :premises (@p103) :args (0))
% 163.18/163.49  (step @p545 :rule eq_resolve :premises (@p544 @p543))
% 163.18/163.49  (step @p546 :rule cnf_or_pos :args (@t344))
% 163.18/163.49  (step @p547 :rule reordering :premises (@p546) :args ((or @t343 @t340 @t341 @t214 @t338 @t308 @t345)))
% 163.18/163.49  (step @p548 :rule chain_m_resolution :premises (@p547 @p545 @p542 @p539 @p428 @p498 @p466) :args (@t345 (@list false false false false false true) (@list @t342 @t339 @t324 @t213 @t320 @t308)))
% 163.18/163.49  (assume-push @p563 @t346)
% 163.18/163.49  (step @p550 :rule instantiate :premises (@p136) :args ((@list @t155 @t162 @t166)))
% 163.18/163.49  (step-pop @p564 :rule scope :premises (@p550))
% 163.18/163.49  (step @p551 :rule process_scope :premises (@p564) :args (@t344))
% 163.18/163.49  (step @p553 :rule implies_elim :premises (@p551))
% 163.18/163.49  (step @p554 false :rule chain_m_resolution :premises (@p553 @p548 @p136) :args (false @t314 (@list @t344 @t346)))
% 163.18/163.49  )
% 163.18/163.49  % SZS output end Proof
% 163.18/163.49  % cvc5 exiting
%------------------------------------------------------------------------------