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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : NUM587+3 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:39:56 AM UTC 2026

% Result   : Theorem 126.39s 126.83s
% Output   : Proof 126.39s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : NUM587+3 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.07  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.26  % Computer : n012.cluster.edu
% 0.08/0.26  % Model    : x86_64 x86_64
% 0.08/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26  % Memory   : 8042.1875MB
% 0.08/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26  % CPULimit : 300
% 0.08/0.26  % WCLimit  : 300
% 0.08/0.26  % DateTime : Tue Jun  2 11:33:48 EDT 2026
% 0.08/0.26  % CPUTime  : 
% 0.17/0.36  %----Proving TF0_NAR, FOF, or CNF
% 126.39/126.83  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 126.39/126.83  --- Run --no-e-matching --full-saturate-quant at 6...
% 126.39/126.83  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 126.39/126.83  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 126.39/126.83  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 126.39/126.83  --- Run --trigger-sel=max --full-saturate-quant at 15...
% 126.39/126.83  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33...
% 126.39/126.83  --- Run --multi-trigger-cache --full-saturate-quant at 15...
% 126.39/126.83  --- Run --prenex-quant=none --full-saturate-quant at 30...
% 126.39/126.83  % SZS status Theorem
% 126.39/126.83  % SZS output start Proof
% 126.39/126.83  (
% 126.39/126.83  (declare-sort $$unsorted 0)
% 126.39/126.83  (declare-const tptp.xQ $$unsorted)
% 126.39/126.83  (declare-const tptp.xx $$unsorted)
% 126.39/126.83  (declare-const tptp.xi $$unsorted)
% 126.39/126.83  (declare-const tptp.xN $$unsorted)
% 126.39/126.83  (declare-const tptp.sz00 $$unsorted)
% 126.39/126.83  (declare-const tptp.xC $$unsorted)
% 126.39/126.83  (declare-const tptp.aFunction0 (-> $$unsorted Bool))
% 126.39/126.83  (declare-const tptp.szNzAzT0 $$unsorted)
% 126.39/126.83  (declare-const tptp.xk $$unsorted)
% 126.39/126.83  (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool))
% 126.39/126.83  (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted))
% 126.39/126.83  (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted))
% 126.39/126.83  (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool))
% 126.39/126.83  (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted))
% 126.39/126.83  (declare-const tptp.isCountable0 (-> $$unsorted Bool))
% 126.39/126.83  (declare-const tptp.isFinite0 (-> $$unsorted Bool))
% 126.39/126.83  (declare-const tptp.aElement0 (-> $$unsorted Bool))
% 126.39/126.83  (declare-const tptp.aSet0 (-> $$unsorted Bool))
% 126.39/126.83  (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool))
% 126.39/126.83  (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted))
% 126.39/126.83  (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted))
% 126.39/126.83  (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted))
% 126.39/126.83  (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted))
% 126.39/126.83  (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool))
% 126.39/126.83  (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted))
% 126.39/126.83  (declare-const tptp.xK $$unsorted)
% 126.39/126.83  (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted))
% 126.39/126.83  (declare-const tptp.xT $$unsorted)
% 126.39/126.83  (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted))
% 126.39/126.83  (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted))
% 126.39/126.83  (declare-const tptp.xS $$unsorted)
% 126.39/126.83  (declare-const tptp.xc $$unsorted)
% 126.39/126.83  (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted))
% 126.39/126.83  (declare-const tptp.slcrc0 $$unsorted)
% 126.39/126.83  (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted))
% 126.39/126.83  (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted))
% 126.39/126.83  (define @t1 () (@var "W0" $$unsorted))
% 126.39/126.83  (define @t2 () (tptp.aSet0 @t1))
% 126.39/126.83  (define @t3 () (@list @t1))
% 126.39/126.83  (define @t4 () (tptp.aElement0 @t1))
% 126.39/126.83  (define @t5 () (@var "W1" $$unsorted))
% 126.39/126.83  (define @t6 () (tptp.aElement0 @t5))
% 126.39/126.83  (define @t7 () (tptp.aElementOf0 @t5 @t1))
% 126.39/126.83  (define @t8 () (@list @t5))
% 126.39/126.83  (define @t9 () (tptp.isFinite0 @t1))
% 126.39/126.83  (define @t10 () (= @t1 tptp.slcrc0))
% 126.39/126.83  (define @t11 () (tptp.isCountable0 @t1))
% 126.39/126.83  (define @t12 () (not @t9))
% 126.39/126.83  (define @t13 () (and @t2 @t11))
% 126.39/126.83  (define @t14 () (not @t10))
% 126.39/126.83  (define @t15 () (@var "W2" $$unsorted))
% 126.39/126.83  (define @t16 () (tptp.aElementOf0 @t15 @t1))
% 126.39/126.83  (define @t17 () (tptp.aElementOf0 @t15 @t5))
% 126.39/126.83  (define @t18 () (@list @t15))
% 126.39/126.83  (define @t19 () (tptp.aSet0 @t5))
% 126.39/126.83  (define @t20 () (tptp.aSubsetOf0 @t5 @t1))
% 126.39/126.83  (define @t21 () (tptp.isFinite0 @t5))
% 126.39/126.83  (define @t22 () (and @t2 @t9))
% 126.39/126.83  (define @t23 () (= @t1 @t5))
% 126.39/126.83  (define @t24 () (tptp.aSubsetOf0 @t1 @t5))
% 126.39/126.83  (define @t25 () (@list @t1 @t5))
% 126.39/126.83  (define @t26 () (tptp.aSubsetOf0 @t5 @t15))
% 126.39/126.83  (define @t27 () (tptp.aSet0 @t15))
% 126.39/126.83  (define @t28 () (@list @t1 @t5 @t15))
% 126.39/126.83  (define @t29 () (@var "W3" $$unsorted))
% 126.39/126.83  (define @t30 () (= @t29 @t5))
% 126.39/126.83  (define @t31 () (tptp.aElementOf0 @t29 @t1))
% 126.39/126.83  (define @t32 () (tptp.aElement0 @t29))
% 126.39/126.83  (define @t33 () (tptp.aElementOf0 @t29 @t15))
% 126.39/126.83  (define @t34 () (@list @t29))
% 126.39/126.83  (define @t35 () (tptp.sdtpldt0 @t1 @t5))
% 126.39/126.83  (define @t36 () (and @t2 @t6))
% 126.39/126.83  (define @t37 () (tptp.sdtmndt0 @t1 @t5))
% 126.39/126.83  (define @t38 () (tptp.sdtpldt0 @t5 @t1))
% 126.39/126.83  (define @t39 () (tptp.isCountable0 @t5))
% 126.39/126.83  (define @t40 () (and @t19 @t39))
% 126.39/126.83  (define @t41 () (tptp.sdtmndt0 @t5 @t1))
% 126.39/126.83  (define @t42 () (and @t19 @t21))
% 126.39/126.83  (define @t43 () (tptp.szszuzczcdt0 @t1))
% 126.39/126.83  (define @t44 () (tptp.aElementOf0 @t1 tptp.szNzAzT0))
% 126.39/126.83  (define @t45 () (tptp.szszuzczcdt0 @t5))
% 126.39/126.83  (define @t46 () (tptp.aElementOf0 @t5 tptp.szNzAzT0))
% 126.39/126.83  (define @t47 () (and @t44 @t46))
% 126.39/126.83  (define @t48 () (= @t1 tptp.sz00))
% 126.39/126.83  (define @t49 () (tptp.sdtlseqdt0 @t1 @t5))
% 126.39/126.83  (define @t50 () (tptp.sdtlseqdt0 @t5 @t1))
% 126.39/126.83  (define @t51 () (tptp.sdtlseqdt0 @t5 @t15))
% 126.39/126.83  (define @t52 () (tptp.aElementOf0 @t15 tptp.szNzAzT0))
% 126.39/126.83  (define @t53 () (tptp.sbrdtbr0 @t1))
% 126.39/126.83  (define @t54 () (tptp.sbrdtbr0 @t5))
% 126.39/126.83  (define @t55 () (and @t2 @t46))
% 126.39/126.83  (define @t56 () (tptp.szmzizndt0 @t1))
% 126.39/126.83  (define @t57 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0))
% 126.39/126.83  (define @t58 () (tptp.szmzizndt0 @t5))
% 126.39/126.83  (define @t59 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0))
% 126.39/126.83  (define @t60 () (tptp.slbdtrb0 @t1))
% 126.39/126.83  (define @t61 () (tptp.slbdtrb0 @t5))
% 126.39/126.83  (define @t62 () (tptp.sbrdtbr0 @t29))
% 126.39/126.83  (define @t63 () (tptp.aSubsetOf0 @t29 @t1))
% 126.39/126.83  (define @t64 () (tptp.slbdtsldtrb0 @t1 @t5))
% 126.39/126.83  (define @t65 () (tptp.slbdtsldtrb0 @t5 @t1))
% 126.39/126.83  (define @t66 () (tptp.aFunction0 @t1))
% 126.39/126.83  (define @t67 () (tptp.szDzozmdt0 @t1))
% 126.39/126.83  (define @t68 () (tptp.sdtlpdtrp0 @t1 @t5))
% 126.39/126.83  (define @t69 () (tptp.aElementOf0 @t5 @t67))
% 126.39/126.83  (define @t70 () (tptp.sdtlpdtrp0 @t1 @t29))
% 126.39/126.83  (define @t71 () (tptp.aElementOf0 @t29 @t67))
% 126.39/126.83  (define @t72 () (tptp.sdtlbdtrb0 @t1 @t5))
% 126.39/126.83  (define @t73 () (and @t66 @t6))
% 126.39/126.83  (define @t74 () (@var "W4" $$unsorted))
% 126.39/126.83  (define @t75 () (tptp.aElementOf0 @t74 @t5))
% 126.39/126.83  (define @t76 () (@list @t74))
% 126.39/126.83  (define @t77 () (tptp.sdtlcdtrc0 @t1 @t5))
% 126.39/126.83  (define @t78 () (tptp.aSubsetOf0 @t5 @t67))
% 126.39/126.83  (define @t79 () (tptp.sdtlcdtrc0 @t1 @t67))
% 126.39/126.83  (define @t80 () (tptp.szDzozmdt0 @t15))
% 126.39/126.83  (define @t81 () (tptp.aFunction0 @t15))
% 126.39/126.83  (define @t82 () (tptp.szDzizrdt0 @t1))
% 126.39/126.83  (define @t83 () (tptp.szDzozmdt0 tptp.xc))
% 126.39/126.83  (define @t84 () (tptp.sdtlcdtrc0 tptp.xc @t83))
% 126.39/126.83  (define @t85 () (tptp.aElementOf0 @t1 tptp.xT))
% 126.39/126.83  (define @t86 () (tptp.aElementOf0 @t1 @t84))
% 126.39/126.83  (define @t87 () (forall @t3 (=> @t86 @t85)))
% 126.39/126.83  (define @t88 () (tptp.sdtlpdtrp0 tptp.xc @t5))
% 126.39/126.83  (define @t89 () (tptp.aElementOf0 @t5 @t83))
% 126.39/126.83  (define @t90 () (and @t89 (= @t88 @t1)))
% 126.39/126.83  (define @t91 () (exists @t8 @t90))
% 126.39/126.83  (define @t92 () (= @t86 @t91))
% 126.39/126.83  (define @t93 () (forall @t3 @t92))
% 126.39/126.83  (define @t94 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK))
% 126.39/126.83  (define @t95 () (tptp.aElementOf0 @t1 @t83))
% 126.39/126.83  (define @t96 () (= @t53 tptp.xK))
% 126.39/126.83  (define @t97 () (tptp.aSubsetOf0 @t1 tptp.xS))
% 126.39/126.83  (define @t98 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS))))
% 126.39/126.83  (define @t99 () (@var "W5" $$unsorted))
% 126.39/126.83  (define @t100 () (@var "W6" $$unsorted))
% 126.39/126.83  (define @t101 () (@list @t99))
% 126.39/126.83  (define @t102 () (tptp.aElementOf0 @t29 tptp.xT))
% 126.39/126.83  (define @t103 () (tptp.sdtlcdtrc0 @t15 @t80))
% 126.39/126.83  (define @t104 () (tptp.aElementOf0 @t29 @t103))
% 126.39/126.83  (define @t105 () (tptp.aElementOf0 @t29 @t80))
% 126.39/126.83  (define @t106 () (= @t62 @t1))
% 126.39/126.83  (define @t107 () (tptp.aSubsetOf0 @t29 @t5))
% 126.39/126.83  (define @t108 () (forall @t76 (=> (tptp.aElementOf0 @t74 @t29) @t75)))
% 126.39/126.83  (define @t109 () (tptp.aSet0 @t29))
% 126.39/126.83  (define @t110 () (tptp.sdtlpdtrp0 tptp.xN @t43))
% 126.39/126.83  (define @t111 () (tptp.sdtlpdtrp0 tptp.xN @t1))
% 126.39/126.83  (define @t112 () (tptp.szmzizndt0 @t111))
% 126.39/126.83  (define @t113 () (tptp.sdtmndt0 @t111 @t112))
% 126.39/126.83  (define @t114 () (tptp.aElementOf0 @t5 @t113))
% 126.39/126.83  (define @t115 () (tptp.aElementOf0 @t5 @t111))
% 126.39/126.83  (define @t116 () (forall @t8 (= @t114 (and @t6 @t115 (not (= @t5 @t112))))))
% 126.39/126.83  (define @t117 () (tptp.aSet0 @t113))
% 126.39/126.83  (define @t118 () (tptp.sdtlseqdt0 @t112 @t5))
% 126.39/126.83  (define @t119 () (forall @t8 (=> @t115 @t118)))
% 126.39/126.83  (define @t120 () (tptp.aElementOf0 @t112 @t111))
% 126.39/126.83  (define @t121 () (tptp.isCountable0 @t111))
% 126.39/126.83  (define @t122 () (tptp.aSubsetOf0 @t111 tptp.szNzAzT0))
% 126.39/126.83  (define @t123 () (forall @t8 (=> @t115 @t46)))
% 126.39/126.83  (define @t124 () (tptp.aSet0 @t111))
% 126.39/126.83  (define @t125 () (tptp.szDzozmdt0 tptp.xN))
% 126.39/126.83  (define @t126 () (tptp.sdtlpdtrp0 tptp.xN @t5))
% 126.39/126.83  (define @t127 () (tptp.aElementOf0 @t15 @t126))
% 126.39/126.83  (define @t128 () (tptp.aElementOf0 @t15 @t111))
% 126.39/126.83  (define @t129 () (tptp.sdtlseqdt0 @t112 @t15))
% 126.39/126.83  (define @t130 () (forall @t18 (=> @t128 @t129)))
% 126.39/126.83  (define @t131 () (and @t120 @t130))
% 126.39/126.83  (define @t132 () (tptp.sdtpldt0 @t5 @t112))
% 126.39/126.83  (define @t133 () (tptp.aElementOf0 @t15 @t132))
% 126.39/126.83  (define @t134 () (= @t15 @t112))
% 126.39/126.83  (define @t135 () (tptp.aElement0 @t15))
% 126.39/126.83  (define @t136 () (forall @t18 (= @t133 (and @t135 (or @t17 @t134)))))
% 126.39/126.83  (define @t137 () (tptp.slbdtsldtrb0 @t113 tptp.xk))
% 126.39/126.83  (define @t138 () (tptp.aElementOf0 @t5 @t137))
% 126.39/126.83  (define @t139 () (= @t54 tptp.xk))
% 126.39/126.83  (define @t140 () (tptp.aSubsetOf0 @t5 @t113))
% 126.39/126.83  (define @t141 () (tptp.aElementOf0 @t15 @t113))
% 126.39/126.83  (define @t142 () (forall @t18 (=> @t17 @t141)))
% 126.39/126.83  (define @t143 () (or @t142 @t140))
% 126.39/126.83  (define @t144 () (and @t143 @t139))
% 126.39/126.83  (define @t145 () (or @t144 @t138))
% 126.39/126.83  (define @t146 () (forall @t18 (= @t141 (and @t135 @t128 (not @t134)))))
% 126.39/126.83  (define @t147 () (and @t117 @t146))
% 126.39/126.83  (define @t148 () (=> @t147 @t145))
% 126.39/126.83  (define @t149 () (=> @t131 @t148))
% 126.39/126.83  (define @t150 () (and @t19 @t149))
% 126.39/126.83  (define @t151 () (tptp.sdtlpdtrp0 tptp.xC @t1))
% 126.39/126.83  (define @t152 () (= (tptp.sdtlpdtrp0 @t151 @t5) (tptp.sdtlpdtrp0 tptp.xc @t132)))
% 126.39/126.83  (define @t153 () (and @t120 @t130 @t136 @t152))
% 126.39/126.83  (define @t154 () (=> @t150 @t153))
% 126.39/126.83  (define @t155 () (forall @t8 @t154))
% 126.39/126.83  (define @t156 () (tptp.szDzozmdt0 @t151))
% 126.39/126.83  (define @t157 () (tptp.aElementOf0 @t5 @t156))
% 126.39/126.83  (define @t158 () (and @t19 @t142))
% 126.39/126.83  (define @t159 () (or @t158 @t140))
% 126.39/126.83  (define @t160 () (and @t159 @t139))
% 126.39/126.83  (define @t161 () (=> @t160 @t157))
% 126.39/126.83  (define @t162 () (and @t19 @t142 @t140 @t139))
% 126.39/126.83  (define @t163 () (=> @t157 @t162))
% 126.39/126.83  (define @t164 () (and @t163 @t161))
% 126.39/126.83  (define @t165 () (forall @t8 @t164))
% 126.39/126.83  (define @t166 () (tptp.aFunction0 @t151))
% 126.39/126.83  (define @t167 () (and @t166 @t120 @t119 @t117 @t116 @t165 (= @t156 @t137) @t155))
% 126.39/126.83  (define @t168 () (=> @t44 @t167))
% 126.39/126.83  (define @t169 () (forall @t3 @t168))
% 126.39/126.83  (define @t170 () (tptp.aElementOf0 tptp.xi tptp.szNzAzT0))
% 126.39/126.83  (define @t171 () (tptp.sdtlpdtrp0 tptp.xC tptp.xi))
% 126.39/126.83  (define @t172 () (tptp.szDzozmdt0 @t171))
% 126.39/126.83  (define @t173 () (tptp.sdtlpdtrp0 @t171 @t1))
% 126.39/126.83  (define @t174 () (tptp.aElementOf0 @t1 @t172))
% 126.39/126.83  (define @t175 () (and @t174 (= @t173 tptp.xx)))
% 126.39/126.83  (define @t176 () (exists @t3 @t175))
% 126.39/126.83  (define @t177 () (tptp.sdtlpdtrp0 @t171 tptp.xQ))
% 126.39/126.83  (define @t178 () (tptp.sdtlpdtrp0 tptp.xN tptp.xi))
% 126.39/126.83  (define @t179 () (tptp.szmzizndt0 @t178))
% 126.39/126.83  (define @t180 () (tptp.sdtmndt0 @t178 @t179))
% 126.39/126.83  (define @t181 () (tptp.slbdtsldtrb0 @t180 tptp.xk))
% 126.39/126.83  (define @t182 () (tptp.aElementOf0 tptp.xQ @t181))
% 126.39/126.83  (define @t183 () (tptp.sbrdtbr0 tptp.xQ))
% 126.39/126.83  (define @t184 () (tptp.aSubsetOf0 tptp.xQ @t180))
% 126.39/126.83  (define @t185 () (tptp.aElementOf0 @t1 @t180))
% 126.39/126.83  (define @t186 () (tptp.aElementOf0 @t1 tptp.xQ))
% 126.39/126.83  (define @t187 () (tptp.aSet0 tptp.xQ))
% 126.39/126.83  (define @t188 () (= @t1 @t179))
% 126.39/126.83  (define @t189 () (tptp.aElementOf0 @t1 @t178))
% 126.39/126.83  (define @t190 () (tptp.aSet0 @t180))
% 126.39/126.83  (define @t191 () (forall @t3 (=> @t189 (tptp.sdtlseqdt0 @t179 @t1))))
% 126.39/126.83  (define @t192 () (tptp.aElementOf0 @t179 @t178))
% 126.39/126.83  (define @t193 () (tptp.sdtpldt0 tptp.xQ @t179))
% 126.39/126.83  (define @t194 () (tptp.sdtlpdtrp0 tptp.xc @t193))
% 126.39/126.83  (define @t195 () (= (tptp.sdtlpdtrp0 tptp.xc @t1) @t194))
% 126.39/126.83  (define @t196 () (and @t95 @t195))
% 126.39/126.83  (define @t197 () (exists @t3 @t196))
% 126.39/126.83  (define @t198 () (forall @t3 (= (tptp.aElementOf0 @t1 @t193) (and @t4 (or @t186 @t188)))))
% 126.39/126.83  (define @t199 () (tptp.aSet0 @t193))
% 126.39/126.83  (define @t200 () (tptp.aElementOf0 tptp.xx tptp.xT))
% 126.39/126.83  (define @t201 () (not @t200))
% 126.39/126.83  (define @t202 () (not (= @t177 @t173)))
% 126.39/126.83  (define @t203 () (not @t174))
% 126.39/126.83  (define @t204 () (or @t203 @t202))
% 126.39/126.83  (define @t205 () (forall @t3 @t204))
% 126.39/126.83  (define @t206 () (= tptp.xx @t173))
% 126.39/126.83  (define @t207 () (not @t206))
% 126.39/126.83  (define @t208 () (or @t203 @t207))
% 126.39/126.83  (define @t209 () (forall @t3 @t208))
% 126.39/126.83  (define @t210 () (and @t174 @t206))
% 126.39/126.83  (define @t211 () (forall @t3 (not @t210)))
% 126.39/126.83  (define @t212 () (not @t211))
% 126.39/126.83  (define @t213 () (forall @t3 (or @t203 (not (= @t173 @t177)))))
% 126.39/126.83  (define @t214 () (@quantifiers_skolemize @t213 0))
% 126.39/126.83  (define @t215 () (tptp.sdtlpdtrp0 @t171 @t214))
% 126.39/126.83  (define @t216 () (= @t177 @t215))
% 126.39/126.83  (define @t217 () (not @t216))
% 126.39/126.83  (define @t218 () (not (tptp.aElementOf0 @t214 @t172)))
% 126.39/126.83  (define @t219 () (or @t218 @t217))
% 126.39/126.83  (define @t220 () (not @t219))
% 126.39/126.83  (define @t221 () (not @t213))
% 126.39/126.83  (define @t222 () (not (= @t215 @t177)))
% 126.39/126.83  (define @t223 () (or @t218 @t222))
% 126.39/126.83  (define @t224 () (not @t223))
% 126.39/126.83  (define @t225 () (@list true))
% 126.39/126.83  (define @t226 () (@var "BOUND_VARIABLE_9294" $$unsorted))
% 126.39/126.83  (define @t227 () (tptp.aElementOf0 @t226 @t156))
% 126.39/126.83  (define @t228 () (tptp.sbrdtbr0 @t226))
% 126.39/126.83  (define @t229 () (not (= @t183 @t228)))
% 126.39/126.83  (define @t230 () (not (tptp.aElementOf0 @t15 @t226)))
% 126.39/126.83  (define @t231 () (not (tptp.aSet0 @t226)))
% 126.39/126.83  (define @t232 () (and (or @t231 (not (forall @t18 (or @t230 @t141)))) (not (tptp.aSubsetOf0 @t226 @t113))))
% 126.39/126.83  (define @t233 () (@list @t226))
% 126.39/126.83  (define @t234 () (forall @t233 (or @t232 @t229 @t227)))
% 126.39/126.83  (define @t235 () (@var "BOUND_VARIABLE_9278" $$unsorted))
% 126.39/126.83  (define @t236 () (tptp.sbrdtbr0 @t235))
% 126.39/126.83  (define @t237 () (= @t183 @t236))
% 126.39/126.83  (define @t238 () (tptp.aSubsetOf0 @t235 @t113))
% 126.39/126.83  (define @t239 () (not (tptp.aElementOf0 @t15 @t235)))
% 126.39/126.83  (define @t240 () (forall @t18 (or @t239 @t141)))
% 126.39/126.83  (define @t241 () (tptp.aSet0 @t235))
% 126.39/126.83  (define @t242 () (not (tptp.aElementOf0 @t235 @t156)))
% 126.39/126.83  (define @t243 () (@list @t235))
% 126.39/126.83  (define @t244 () (forall @t243 (or @t242 (and @t241 @t240 @t238 @t237))))
% 126.39/126.83  (define @t245 () (forall @t18 (or (not @t128) @t129)))
% 126.39/126.83  (define @t246 () (and @t120 @t245 @t136 @t152))
% 126.39/126.83  (define @t247 () (tptp.slbdtsldtrb0 @t113 @t183))
% 126.39/126.83  (define @t248 () (not (= @t54 @t183)))
% 126.39/126.83  (define @t249 () (not @t140))
% 126.39/126.83  (define @t250 () (not @t17))
% 126.39/126.83  (define @t251 () (forall @t18 (or @t250 @t141)))
% 126.39/126.83  (define @t252 () (not @t251))
% 126.39/126.83  (define @t253 () (and @t252 @t249))
% 126.39/126.83  (define @t254 () (not @t19))
% 126.39/126.83  (define @t255 () (forall @t8 (or @t254 (and @t120 @t245 @t117 @t146 (or @t253 @t248) (not (tptp.aElementOf0 @t5 @t247))) @t246)))
% 126.39/126.83  (define @t256 () (forall @t8 (or (not @t115) @t118)))
% 126.39/126.83  (define @t257 () (and @t166 @t120 @t256 @t117 @t116 (= @t247 @t156) @t255 @t244 @t234))
% 126.39/126.83  (define @t258 () (not (tptp.aElementOf0 @t1 @t125)))
% 126.39/126.83  (define @t259 () (or @t258 @t257))
% 126.39/126.83  (define @t260 () (= tptp.xk @t228))
% 126.39/126.83  (define @t261 () (not @t260))
% 126.39/126.83  (define @t262 () (or @t232 @t261 @t227))
% 126.39/126.83  (define @t263 () (forall @t233 @t262))
% 126.39/126.83  (define @t264 () (= tptp.xk @t236))
% 126.39/126.83  (define @t265 () (and @t241 @t240 @t238 @t264))
% 126.39/126.83  (define @t266 () (or @t242 @t265))
% 126.39/126.83  (define @t267 () (forall @t243 @t266))
% 126.39/126.83  (define @t268 () (not @t138))
% 126.39/126.83  (define @t269 () (not @t139))
% 126.39/126.83  (define @t270 () (or @t253 @t269))
% 126.39/126.83  (define @t271 () (and @t120 @t245 @t117 @t146 @t270 @t268))
% 126.39/126.83  (define @t272 () (or @t254 @t271 @t246))
% 126.39/126.83  (define @t273 () (forall @t8 @t272))
% 126.39/126.83  (define @t274 () (= @t137 @t156))
% 126.39/126.83  (define @t275 () (and @t166 @t120 @t256 @t117 @t116 @t274 @t273 @t267 @t263))
% 126.39/126.83  (define @t276 () (not @t44))
% 126.39/126.83  (define @t277 () (or @t276 @t275))
% 126.39/126.83  (define @t278 () (and @t117 @t146 @t270 @t268))
% 126.39/126.83  (define @t279 () (and @t120 @t245))
% 126.39/126.83  (define @t280 () (or @t251 @t140))
% 126.39/126.83  (define @t281 () (and @t280 @t139))
% 126.39/126.83  (define @t282 () (or @t281 @t138))
% 126.39/126.83  (define @t283 () (=> @t147 @t282))
% 126.39/126.83  (define @t284 () (=> @t279 @t283))
% 126.39/126.83  (define @t285 () (and @t19 @t284))
% 126.39/126.83  (define @t286 () (not (= @t228 tptp.xk)))
% 126.39/126.83  (define @t287 () (or @t232 @t286 @t227))
% 126.39/126.83  (define @t288 () (forall @t233 @t287))
% 126.39/126.83  (define @t289 () (and @t241 @t240 @t238 (= @t236 tptp.xk)))
% 126.39/126.83  (define @t290 () (or @t242 @t289))
% 126.39/126.83  (define @t291 () (forall @t243 @t290))
% 126.39/126.83  (define @t292 () (and (or @t254 @t252) @t249))
% 126.39/126.83  (define @t293 () (or @t292 @t269 @t157))
% 126.39/126.83  (define @t294 () (forall @t8 @t293))
% 126.39/126.83  (define @t295 () (@list @t5))
% 126.39/126.83  (define @t296 () (and @t19 @t251 @t140 @t139))
% 126.39/126.83  (define @t297 () (or (not @t157) @t296))
% 126.39/126.83  (define @t298 () (forall @t8 @t297))
% 126.39/126.83  (define @t299 () (and @t298 @t294))
% 126.39/126.83  (define @t300 () (and @t19 @t251))
% 126.39/126.83  (define @t301 () (or @t300 @t140))
% 126.39/126.83  (define @t302 () (and @t301 @t139))
% 126.39/126.83  (define @t303 () (and (=> @t157 @t296) (=> @t302 @t157)))
% 126.39/126.83  (define @t304 () (tptp.aElementOf0 @t15 @t180))
% 126.39/126.83  (define @t305 () (tptp.sdtpldt0 @t5 @t179))
% 126.39/126.83  (define @t306 () (= @t15 @t179))
% 126.39/126.83  (define @t307 () (tptp.aElementOf0 @t15 @t178))
% 126.39/126.83  (define @t308 () (forall @t18 (or (not @t307) (tptp.sdtlseqdt0 @t179 @t15))))
% 126.39/126.83  (define @t309 () (tptp.slbdtsldtrb0 @t180 @t183))
% 126.39/126.83  (define @t310 () (forall @t18 (= @t304 (and @t135 @t307 (not @t306)))))
% 126.39/126.83  (define @t311 () (forall @t8 (or @t254 (and @t192 @t308 @t190 @t310 (or (and (not (forall @t18 (or @t250 @t304))) (not (tptp.aSubsetOf0 @t5 @t180))) @t248) (not (tptp.aElementOf0 @t5 @t309))) (and @t192 @t308 (forall @t18 (= (tptp.aElementOf0 @t15 @t305) (and @t135 (or @t17 @t306)))) (= (tptp.sdtlpdtrp0 @t171 @t5) (tptp.sdtlpdtrp0 tptp.xc @t305))))))
% 126.39/126.83  (define @t312 () (tptp.aElementOf0 @t5 @t178))
% 126.39/126.83  (define @t313 () (and (tptp.aFunction0 @t171) @t192 (forall @t8 (or (not @t312) (tptp.sdtlseqdt0 @t179 @t5))) @t190 (forall @t8 (= (tptp.aElementOf0 @t5 @t180) (and @t6 @t312 (not (= @t5 @t179))))) (= @t172 @t309) @t311 (forall @t243 (or (not (tptp.aElementOf0 @t235 @t172)) (and @t241 (forall @t18 (or @t239 @t304)) (tptp.aSubsetOf0 @t235 @t180) @t237))) (forall @t233 (or (and (or @t231 (not (forall @t18 (or @t230 @t304)))) (not (tptp.aSubsetOf0 @t226 @t180))) @t229 (tptp.aElementOf0 @t226 @t172)))))
% 126.39/126.83  (define @t314 () (tptp.aElementOf0 tptp.xi @t125))
% 126.39/126.83  (define @t315 () (not @t314))
% 126.39/126.83  (define @t316 () (or @t315 @t313))
% 126.39/126.83  (define @t317 () (@list false false))
% 126.39/126.83  (define @t318 () (@list false))
% 126.39/126.83  (define @t319 () (= @t177 @t194))
% 126.39/126.83  (define @t320 () (tptp.aElementOf0 @t15 tptp.xQ))
% 126.39/126.83  (define @t321 () (and @t192 @t308 (forall @t18 (= (tptp.aElementOf0 @t15 @t193) (and @t135 (or @t320 @t306)))) @t319))
% 126.39/126.83  (define @t322 () (not @t184))
% 126.39/126.83  (define @t323 () (not (forall @t18 (or (not @t320) @t304))))
% 126.39/126.83  (define @t324 () (tptp.aElementOf0 tptp.xQ @t309))
% 126.39/126.83  (define @t325 () (not @t324))
% 126.39/126.83  (define @t326 () (and @t192 @t308 @t190 @t310 @t325 @t323 @t322))
% 126.39/126.83  (define @t327 () (and @t323 @t322))
% 126.39/126.83  (define @t328 () (not (= @t183 @t183)))
% 126.39/126.83  (define @t329 () (or @t327 @t328))
% 126.39/126.83  (define @t330 () (and @t192 @t308 @t190 @t310 @t329 @t325))
% 126.39/126.83  (define @t331 () (not @t187))
% 126.39/126.83  (define @t332 () (or @t331 @t330 @t321))
% 126.39/126.83  (define @t333 () (or @t331 @t326 @t321))
% 126.39/126.83  (define @t334 () (not @t326))
% 126.39/126.83  (define @t335 () (forall @t3 (not @t196)))
% 126.39/126.83  (define @t336 () (not @t335))
% 126.39/126.83  (define @t337 () (forall @t3 (or (not @t95) (not @t195))))
% 126.39/126.83  (define @t338 () (@quantifiers_skolemize @t337 0))
% 126.39/126.83  (define @t339 () (tptp.sdtlpdtrp0 tptp.xc @t338))
% 126.39/126.83  (define @t340 () (= @t194 @t339))
% 126.39/126.83  (define @t341 () (not @t340))
% 126.39/126.83  (define @t342 () (tptp.aElementOf0 @t338 @t83))
% 126.39/126.83  (define @t343 () (not @t342))
% 126.39/126.83  (define @t344 () (or @t343 @t341))
% 126.39/126.83  (define @t345 () (not @t344))
% 126.39/126.83  (define @t346 () (not @t337))
% 126.39/126.83  (define @t347 () (not (= @t339 @t194)))
% 126.39/126.83  (define @t348 () (or @t343 @t347))
% 126.39/126.83  (define @t349 () (not @t348))
% 126.39/126.83  (define @t350 () (@list @t344))
% 126.39/126.83  (define @t351 () (= @t1 @t88))
% 126.39/126.83  (define @t352 () (and @t89 @t351))
% 126.39/126.83  (define @t353 () (forall @t8 (not @t352)))
% 126.39/126.83  (define @t354 () (not @t353))
% 126.39/126.83  (define @t355 () (not (= @t177 @t88)))
% 126.39/126.83  (define @t356 () (not @t89))
% 126.39/126.83  (define @t357 () (or @t356 @t355))
% 126.39/126.83  (define @t358 () (forall @t8 @t357))
% 126.39/126.83  (define @t359 () (not @t358))
% 126.39/126.83  (define @t360 () (tptp.aElementOf0 @t177 @t84))
% 126.39/126.83  (define @t361 () (= @t360 @t359))
% 126.39/126.83  (define @t362 () (forall @t3 (= @t86 (not (forall @t8 (or @t356 (not @t351)))))))
% 126.39/126.83  (define @t363 () (@list @t177))
% 126.39/126.83  (define @t364 () (forall @t8 (or @t356 (not (= @t88 @t177)))))
% 126.39/126.83  (define @t365 () (not @t364))
% 126.39/126.83  (define @t366 () (= @t360 @t365))
% 126.39/126.83  (define @t367 () (tptp.aElementOf0 @t177 tptp.xT))
% 126.39/126.83  (define @t368 () (not @t360))
% 126.39/126.83  (define @t369 () (or @t368 @t367))
% 126.39/126.83  (define @t370 () (@list true false))
% 126.39/126.83  (define @t371 () (not @t366))
% 126.39/126.83  (define @t372 () (not (= @t339 @t177)))
% 126.39/126.83  (define @t373 () (or @t343 @t372))
% 126.39/126.83  (define @t374 () (not (= @t177 @t339)))
% 126.39/126.83  (define @t375 () (or @t343 @t374))
% 126.39/126.83  (assume @p1 (forall @t3 (=> @t2 true)))
% 126.39/126.83  (assume @p2 (forall @t3 (=> @t4 true)))
% 126.39/126.83  (assume @p3 (forall @t3 (=> @t2 (forall @t8 (=> @t7 @t6)))))
% 126.39/126.83  (assume @p4 (forall @t3 (=> @t2 (=> @t9 true))))
% 126.39/126.83  (assume @p5 (forall @t3 (= @t10 (and @t2 (not (exists @t8 @t7))))))
% 126.39/126.83  (assume @p6 (tptp.isFinite0 tptp.slcrc0))
% 126.39/126.83  (assume @p7 (forall @t3 (=> @t2 (=> @t11 true))))
% 126.39/126.83  (assume @p8 (forall @t3 (=> @t13 @t12)))
% 126.39/126.83  (assume @p9 (forall @t3 (=> @t13 @t14)))
% 126.39/126.83  (assume @p10 (forall @t3 (=> @t2 (forall @t8 (= @t20 (and @t19 (forall @t18 (=> @t17 @t16))))))))
% 126.39/126.83  (assume @p11 (forall @t3 (=> @t22 (forall @t8 (=> @t20 @t21)))))
% 126.39/126.83  (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1))))
% 126.39/126.83  (assume @p13 (forall @t25 (=> (and @t2 @t19) (=> (and @t24 @t20) @t23))))
% 126.39/126.83  (assume @p14 (forall @t28 (=> (and @t2 @t19 @t27) (=> (and @t24 @t26) (tptp.aSubsetOf0 @t1 @t15)))))
% 126.39/126.83  (assume @p15 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t35) (and @t27 (forall @t34 (= @t33 (and @t32 (or @t31 @t30))))))))))
% 126.39/126.83  (assume @p16 (forall @t25 (=> @t36 (forall @t18 (= (= @t15 @t37) (and @t27 (forall @t34 (= @t33 (and @t32 @t31 (not @t30))))))))))
% 126.39/126.83  (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t37 @t5) @t1))))))
% 126.39/126.83  (assume @p18 (forall @t25 (=> (and @t4 @t19) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t38 @t1) @t5)))))
% 126.39/126.83  (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t38))))))
% 126.39/126.83  (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t40 (tptp.isCountable0 @t41))))))
% 126.39/126.83  (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t38))))))
% 126.39/126.83  (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t42 (tptp.isFinite0 @t41))))))
% 126.39/126.83  (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0)))
% 126.39/126.83  (assume @p24 (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0))
% 126.39/126.83  (assume @p25 (forall @t3 (=> @t44 (and (tptp.aElementOf0 @t43 tptp.szNzAzT0) (not (= @t43 tptp.sz00))))))
% 126.39/126.83  (assume @p26 (forall @t25 (=> @t47 (=> (= @t43 @t45) @t23))))
% 126.39/126.83  (assume @p27 (forall @t3 (=> @t44 (or @t48 (exists @t8 (and @t46 (= @t1 @t45)))))))
% 126.39/126.83  (assume @p28 (forall @t3 (=> @t44 (not (= @t1 @t43)))))
% 126.39/126.83  (assume @p29 (forall @t25 (=> @t47 (=> @t49 true))))
% 126.39/126.83  (assume @p30 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 tptp.sz00 @t1))))
% 126.39/126.83  (assume @p31 (forall @t3 (=> @t44 (not (tptp.sdtlseqdt0 @t43 tptp.sz00)))))
% 126.39/126.83  (assume @p32 (forall @t25 (=> @t47 (= @t49 (tptp.sdtlseqdt0 @t43 @t45)))))
% 126.39/126.83  (assume @p33 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t43))))
% 126.39/126.83  (assume @p34 (forall @t3 (=> @t44 (tptp.sdtlseqdt0 @t1 @t1))))
% 126.39/126.83  (assume @p35 (forall @t25 (=> @t47 (=> (and @t49 @t50) @t23))))
% 126.39/126.83  (assume @p36 (forall @t28 (=> (and @t44 @t46 @t52) (=> (and @t49 @t51) (tptp.sdtlseqdt0 @t1 @t15)))))
% 126.39/126.83  (assume @p37 (forall @t25 (=> @t47 (or @t49 (tptp.sdtlseqdt0 @t45 @t1)))))
% 126.39/126.83  (assume @p38 (forall @t25 (=> @t47 (=> (tptp.iLess0 @t1 @t5) true))))
% 126.39/126.83  (assume @p39 (forall @t3 (=> @t44 (tptp.iLess0 @t1 @t43))))
% 126.39/126.83  (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t53))))
% 126.39/126.83  (assume @p41 (forall @t3 (=> @t2 (= (tptp.aElementOf0 @t53 tptp.szNzAzT0) @t9))))
% 126.39/126.83  (assume @p42 (forall @t3 (=> @t2 (= (= @t53 tptp.sz00) @t10))))
% 126.39/126.83  (assume @p43 (forall @t3 (=> @t22 (forall @t8 (=> @t6 (=> (not @t7) (= (tptp.sbrdtbr0 @t35) (tptp.szszuzczcdt0 @t53))))))))
% 126.39/126.83  (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t37)) @t53))))))
% 126.39/126.83  (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t9 @t20) (tptp.sdtlseqdt0 @t54 @t53))))))
% 126.39/126.83  (assume @p46 (forall @t25 (=> @t55 (=> (and @t9 (tptp.sdtlseqdt0 @t5 @t53)) (exists @t18 (and (tptp.aSubsetOf0 @t15 @t1) (= (tptp.sbrdtbr0 @t15) @t5)))))))
% 126.39/126.83  (assume @p47 (forall @t3 (=> (and @t57 @t14) (forall @t8 (= (= @t5 @t56) (and @t7 (forall @t18 (=> @t16 @t51))))))))
% 126.39/126.83  (assume @p48 (forall @t3 (=> (and @t57 @t9 @t14) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t18 (=> @t16 (tptp.sdtlseqdt0 @t15 @t5)))))))))
% 126.39/126.83  (assume @p49 (forall @t25 (=> (and @t57 @t59 @t14 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t56 @t5) (tptp.aElementOf0 @t58 @t1)) (= @t56 @t58)))))
% 126.39/126.83  (assume @p50 (forall @t3 (=> @t44 (forall @t8 (= (= @t5 @t60) (and @t19 (forall @t18 (= @t17 (and @t52 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t15) @t1))))))))))
% 126.39/126.83  (assume @p51 (forall @t3 (=> @t44 (tptp.isFinite0 @t60))))
% 126.39/126.83  (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0))
% 126.39/126.83  (assume @p53 (forall @t25 (=> @t47 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t45)) (or (tptp.aElementOf0 @t1 @t61) @t23)))))
% 126.39/126.83  (assume @p54 (forall @t25 (=> @t47 (= @t49 (tptp.aSubsetOf0 @t60 @t61)))))
% 126.39/126.83  (assume @p55 (forall @t3 (=> (and @t57 @t9) (exists @t8 (and @t46 (tptp.aSubsetOf0 @t1 @t61))))))
% 126.39/126.83  (assume @p56 (forall @t3 (=> @t44 (= (tptp.sbrdtbr0 @t60) @t1))))
% 126.39/126.83  (assume @p57 (forall @t25 (=> @t55 (forall @t18 (= (= @t15 @t64) (and @t27 (forall @t34 (= @t33 (and @t63 (= @t62 @t5))))))))))
% 126.39/126.83  (assume @p58 (forall @t3 (=> @t22 (forall @t8 (=> @t46 (tptp.isFinite0 @t64))))))
% 126.39/126.83  (assume @p59 (forall @t3 (=> (and @t2 @t12) (forall @t8 (=> @t46 (not (= @t64 tptp.slcrc0)))))))
% 126.39/126.83  (assume @p60 (forall @t3 (=> @t13 (forall @t8 (=> (and @t46 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t64))))))
% 126.39/126.83  (assume @p61 (forall @t3 (=> @t44 (forall (@list @t5 @t15) (=> (and @t19 @t27 (not @t48)) (=> (and (tptp.aSubsetOf0 @t65 (tptp.slbdtsldtrb0 @t15 @t1)) (not (= @t65 tptp.slcrc0))) @t26))))))
% 126.39/126.83  (assume @p62 (forall @t25 (=> @t55 (forall @t18 (=> (and (tptp.aSubsetOf0 @t15 @t64) (tptp.isFinite0 @t15)) (exists @t34 (and @t63 (tptp.isFinite0 @t29) (tptp.aSubsetOf0 @t15 (tptp.slbdtsldtrb0 @t29 @t5)))))))))
% 126.39/126.83  (assume @p63 (forall @t3 (=> @t66 true)))
% 126.39/126.83  (assume @p64 (forall @t3 (=> @t66 (tptp.aSet0 @t67))))
% 126.39/126.83  (assume @p65 (forall @t3 (=> @t66 (forall @t8 (=> @t69 (tptp.aElement0 @t68))))))
% 126.39/126.83  (assume @p66 (forall @t25 (=> @t73 (forall @t18 (= (= @t15 @t72) (and @t27 (forall @t34 (= @t33 (and @t71 (= @t70 @t5))))))))))
% 126.39/126.83  (assume @p67 (forall @t25 (=> @t73 (tptp.aSubsetOf0 @t72 @t67))))
% 126.39/126.83  (assume @p68 (forall @t3 (=> @t66 (forall @t8 (=> @t78 (forall @t18 (= (= @t15 @t77) (and @t27 (forall @t34 (= @t33 (exists @t76 (and @t75 (= (tptp.sdtlpdtrp0 @t1 @t74) @t29)))))))))))))
% 126.39/126.83  (assume @p69 (forall @t3 (=> @t66 (forall @t8 (=> @t69 (tptp.aElementOf0 @t68 @t79))))))
% 126.39/126.83  (assume @p70 (forall @t3 (=> @t66 (forall @t8 (=> @t78 (forall @t18 (= (= @t15 (tptp.sdtexdt0 @t1 @t5)) (and @t81 (= @t80 @t5) (forall @t34 (=> (tptp.aElementOf0 @t29 @t5) (= (tptp.sdtlpdtrp0 @t15 @t29) @t70)))))))))))
% 126.39/126.83  (assume @p71 (forall @t3 (=> @t66 (forall @t8 (=> (and @t78 @t39) (=> (forall (@list @t15 @t29) (=> (and (tptp.aElementOf0 @t15 @t67) @t71 (not (= @t15 @t29))) (not (= (tptp.sdtlpdtrp0 @t1 @t15) @t70)))) (tptp.isCountable0 @t77)))))))
% 126.39/126.83  (assume @p72 (forall @t3 (=> @t66 (=> (and (tptp.isCountable0 @t67) (tptp.isFinite0 @t79)) (and (tptp.aElement0 @t82) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t82)))))))
% 126.39/126.83  (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT)))
% 126.39/126.83  (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0))
% 126.39/126.83  (assume @p75 (and (tptp.aSet0 tptp.xS) (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xS) @t44)) (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS)))
% 126.39/126.83  (assume @p76 (and (tptp.aFunction0 tptp.xc) (forall @t3 (and (=> @t95 (and @t2 @t98 @t97 @t96)) (=> (and (or (and @t2 @t98) @t97) @t96) @t95))) (= @t83 @t94) (tptp.aSet0 @t84) @t93 @t87 (tptp.aSubsetOf0 @t84 tptp.xT)))
% 126.39/126.83  (assume @p77 (forall @t3 (=> @t44 (forall @t8 (=> (and (or (and @t19 (forall @t18 (=> @t17 @t52))) @t59) @t39) (forall @t18 (=> (and @t81 (or (forall @t34 (and (=> @t105 (and (or (and @t109 @t108) @t107) @t106)) (=> (and @t109 @t108 @t107 @t106) @t105))) (= @t80 @t65)) (=> (and (tptp.aSet0 @t103) (forall @t34 (= @t104 (exists @t76 (and (tptp.aElementOf0 @t74 @t80) (= (tptp.sdtlpdtrp0 @t15 @t74) @t29)))))) (or (forall @t34 (=> @t104 @t102)) (tptp.aSubsetOf0 @t103 tptp.xT)))) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t34 (and @t102 (exists @t76 (and (tptp.aSet0 @t74) (forall @t101 (=> (tptp.aElementOf0 @t99 @t74) (tptp.aElementOf0 @t99 @t5))) (tptp.aSubsetOf0 @t74 @t5) (tptp.isCountable0 @t74) (forall @t101 (=> (or (and (or (and (tptp.aSet0 @t99) (forall (@list @t100) (=> (tptp.aElementOf0 @t100 @t99) (tptp.aElementOf0 @t100 @t74)))) (tptp.aSubsetOf0 @t99 @t74)) (= (tptp.sbrdtbr0 @t99) @t1)) (tptp.aElementOf0 @t99 (tptp.slbdtsldtrb0 @t74 @t1))) (= (tptp.sdtlpdtrp0 @t15 @t99) @t29)))))))))))))))
% 126.39/126.83  (assume @p78 (not (= tptp.xK tptp.sz00)))
% 126.39/126.83  (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= (tptp.szszuzczcdt0 tptp.xk) tptp.xK)))
% 126.39/126.83  (assume @p80 (and (tptp.aFunction0 tptp.xN) (= @t125 tptp.szNzAzT0) (= (tptp.sdtlpdtrp0 tptp.xN tptp.sz00) tptp.xS) (forall @t3 (=> @t44 (=> (and (or (and @t124 @t123) @t122) @t121) (and @t120 @t119 @t117 @t116 (tptp.aSet0 @t110) (forall @t8 (=> (tptp.aElementOf0 @t5 @t110) @t114)) (tptp.aSubsetOf0 @t110 @t113) (tptp.isCountable0 @t110)))))))
% 126.39/126.83  (assume @p81 (forall @t3 (=> @t44 (and @t124 @t123 @t122 @t121))))
% 126.39/126.83  (assume @p82 (forall @t25 (=> @t47 (=> @t50 (and (forall @t18 (=> @t128 @t127)) (tptp.aSubsetOf0 @t111 @t126))))))
% 126.39/126.83  (assume @p83 (forall @t25 (=> (and @t44 @t46 (not @t23)) (not (=> @t131 (or (and (tptp.aElementOf0 @t112 @t126) (forall @t18 (=> @t127 @t129))) (= @t112 (tptp.szmzizndt0 @t126))))))))
% 126.39/126.83  (assume @p84 (forall @t3 (=> @t44 (forall @t8 (=> @t150 (and @t120 @t130 (tptp.aSet0 @t132) @t136 (forall @t18 (=> @t133 (tptp.aElementOf0 @t15 tptp.xS))) (tptp.aSubsetOf0 @t132 tptp.xS) (= (tptp.sbrdtbr0 @t132) tptp.xK) (tptp.aElementOf0 @t132 @t94)))))))
% 126.39/126.83  (assume @p85 (and (tptp.aFunction0 tptp.xC) (= (tptp.szDzozmdt0 tptp.xC) tptp.szNzAzT0) @t169))
% 126.39/126.83  (assume @p86 @t170)
% 126.39/126.83  (assume @p87 (and @t176 (tptp.aElementOf0 tptp.xx (tptp.sdtlcdtrc0 @t171 @t172))))
% 126.39/126.83  (assume @p88 (and @t192 @t191 @t190 (forall @t3 (= @t185 (and @t4 @t189 (not @t188)))) @t187 (forall @t3 (=> @t186 @t185)) @t184 (= @t183 tptp.xk) @t182 (= @t177 tptp.xx)))
% 126.39/126.83  (assume @p89 (and @t192 @t191 @t199 @t198 @t192 @t191 @t199 @t198 @t197))
% 126.39/126.83  (assume @p90 @t201)
% 126.39/126.83  (assume @p91 true)
% 126.39/126.83  (step @p92 :rule evaluate :args ((= false true)))
% 126.39/126.83  (step @p93 :rule eq-symm :args (@t177 @t173))
% 126.39/126.83  (step @p94 :rule cong :premises (@p93) :args (@t202))
% 126.39/126.83  (step @p95 :rule refl :args (@t203))
% 126.39/126.83  (step @p96 :rule nary_cong :premises (@p95 @p94) :args (@t204))
% 126.39/126.83  (step @p97 :rule cong :premises (@p96) :args (@t205))
% 126.39/126.83  (step @p98 :rule cong :premises (@p97) :args ((not @t205)))
% 126.39/126.83  (step @p99 :rule refl :args (@t173))
% 126.39/126.83  (step @p100 :rule and_elim :premises (@p88) :args (9))
% 126.39/126.83  (step @p101 :rule symm :premises (@p100))
% 126.39/126.83  (step @p102 :rule cong :premises (@p101 @p99) :args (@t206))
% 126.39/126.83  (step @p103 :rule cong :premises (@p102) :args (@t207))
% 126.39/126.83  (step @p104 :rule nary_cong :premises (@p95 @p103) :args (@t208))
% 126.39/126.83  (step @p105 :rule cong :premises (@p104) :args (@t209))
% 126.39/126.83  (step @p106 :rule cong :premises (@p105) :args ((not @t209)))
% 126.39/126.83  (step @p107 :rule trans :premises (@p106 @p98))
% 126.39/126.83  (step @p108 :rule bool-and-de-morgan :args (@t174 @t206 true))
% 126.39/126.83  (step @p109 :rule cong :premises (@p108) :args (@t211))
% 126.39/126.83  (step @p110 :rule cong :premises (@p109) :args (@t212))
% 126.39/126.83  (step @p111 :rule exists-elim :args ((= (exists @t3 @t210) @t212)))
% 126.39/126.83  (step @p112 :rule trans :premises (@p111 @p110))
% 126.39/126.83  (step @p113 :rule eq-symm :args (@t173 tptp.xx))
% 126.39/126.83  (step @p114 :rule refl :args (@t174))
% 126.39/126.83  (step @p115 :rule nary_cong :premises (@p114 @p113) :args (@t175))
% 126.39/126.83  (step @p116 :rule cong :premises (@p115) :args (@t176))
% 126.39/126.83  (step @p117 :rule trans :premises (@p116 @p112))
% 126.39/126.83  (step @p118 :rule trans :premises (@p117 @p107))
% 126.39/126.83  (step @p119 :rule and_elim :premises (@p87) :args (0))
% 126.39/126.83  (step @p120 :rule eq_resolve :premises (@p119 @p118))
% 126.39/126.83  (step @p121 :rule refl :args (@t220))
% 126.39/126.83  (step @p122 :rule bool-double-not-elim :args (@t213))
% 126.39/126.83  (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((or (not @t221) @t220)))
% 126.39/126.83  (step @p124 :rule eq-symm :args (@t215 @t177))
% 126.39/126.83  (step @p125 :rule cong :premises (@p124) :args (@t222))
% 126.39/126.83  (step @p126 :rule refl :args (@t218))
% 126.39/126.83  (step @p127 :rule nary_cong :premises (@p126 @p125) :args (@t223))
% 126.39/126.83  (step @p128 :rule cong :premises (@p127) :args (@t224))
% 126.39/126.83  (step @p129 :rule refl :args (@t221))
% 126.39/126.83  (step @p130 :rule cong :premises (@p129 @p128) :args ((=> @t221 @t224)))
% 126.39/126.83  (assume-push @p485 @t221)
% 126.39/126.83  (step @p132 :rule skolemize :premises (@p120))
% 126.39/126.83  (step-pop @p486 :rule scope :premises (@p132))
% 126.39/126.83  (step @p133 :rule process_scope :premises (@p486) :args (@t224))
% 126.39/126.83  (step @p135 :rule eq_resolve :premises (@p133 @p130))
% 126.39/126.83  (step @p136 :rule implies_elim :premises (@p135))
% 126.39/126.83  (step @p137 :rule eq_resolve :premises (@p136 @p123))
% 126.39/126.83  (step @p138 :rule chain_m_resolution :premises (@p137 @p120) :args (@t220 @t225 (@list @t213)))
% 126.39/126.83  (step @p139 :rule bool-double-not-elim :args (@t216))
% 126.39/126.83  (step @p140 :rule refl :args (@t219))
% 126.39/126.83  (step @p141 :rule nary_cong :premises (@p140 @p139) :args ((or @t219 (not @t217))))
% 126.39/126.83  (step @p142 :rule cnf_or_neg :args (@t219 1))
% 126.39/126.83  (step @p143 :rule eq_resolve :premises (@p142 @p141))
% 126.39/126.83  (step @p144 :rule reordering :premises (@p143) :args ((or @t216 @t219)))
% 126.39/126.83  (step @p145 :rule chain_m_resolution :premises (@p144 @p138) :args (@t216 @t225 (@list @t219)))
% 126.39/126.83  (step @p146 :rule refl :args (@t234))
% 126.39/126.83  (step @p147 :rule refl :args (@t244))
% 126.39/126.83  (step @p148 :rule refl :args (@t255))
% 126.39/126.83  (step @p149 :rule eq-symm :args (@t247 @t156))
% 126.39/126.83  (step @p150 :rule refl :args (@t116))
% 126.39/126.83  (step @p151 :rule refl :args (@t117))
% 126.39/126.83  (step @p152 :rule refl :args (@t256))
% 126.39/126.83  (step @p153 :rule refl :args (@t120))
% 126.39/126.83  (step @p154 :rule refl :args (@t166))
% 126.39/126.83  (step @p155 :rule nary_cong :premises (@p154 @p153 @p152 @p151 @p150 @p149 @p148 @p147 @p146) :args (@t257))
% 126.39/126.83  (step @p156 :rule refl :args (@t258))
% 126.39/126.83  (step @p157 :rule nary_cong :premises (@p156 @p155) :args (@t259))
% 126.39/126.83  (step @p158 :rule cong :premises (@p157) :args ((forall @t3 @t259)))
% 126.39/126.83  (step @p159 :rule refl :args (@t227))
% 126.39/126.83  (step @p160 :rule refl :args (@t228))
% 126.39/126.83  (step @p161 :rule and_elim :premises (@p88) :args (7))
% 126.39/126.83  (step @p162 :rule symm :premises (@p161))
% 126.39/126.83  (step @p163 :rule cong :premises (@p162 @p160) :args (@t260))
% 126.39/126.83  (step @p164 :rule cong :premises (@p163) :args (@t261))
% 126.39/126.83  (step @p165 :rule refl :args (@t232))
% 126.39/126.83  (step @p166 :rule nary_cong :premises (@p165 @p164 @p159) :args (@t262))
% 126.39/126.83  (step @p167 :rule cong :premises (@p166) :args (@t263))
% 126.39/126.83  (step @p168 :rule refl :args (@t236))
% 126.39/126.83  (step @p169 :rule cong :premises (@p162 @p168) :args (@t264))
% 126.39/126.83  (step @p170 :rule refl :args (@t238))
% 126.39/126.83  (step @p171 :rule refl :args (@t240))
% 126.39/126.83  (step @p172 :rule refl :args (@t241))
% 126.39/126.83  (step @p173 :rule nary_cong :premises (@p172 @p171 @p170 @p169) :args (@t265))
% 126.39/126.83  (step @p174 :rule refl :args (@t242))
% 126.39/126.83  (step @p175 :rule nary_cong :premises (@p174 @p173) :args (@t266))
% 126.39/126.83  (step @p176 :rule cong :premises (@p175) :args (@t267))
% 126.39/126.83  (step @p177 :rule refl :args (@t246))
% 126.39/126.83  (step @p178 :rule refl :args (@t113))
% 126.39/126.83  (step @p179 :rule cong :premises (@p178 @p162) :args (@t137))
% 126.39/126.83  (step @p180 :rule refl :args (@t5))
% 126.39/126.83  (step @p181 :rule cong :premises (@p180 @p179) :args (@t138))
% 126.39/126.83  (step @p182 :rule cong :premises (@p181) :args (@t268))
% 126.39/126.83  (step @p183 :rule refl :args (@t54))
% 126.39/126.83  (step @p184 :rule cong :premises (@p183 @p162) :args (@t139))
% 126.39/126.83  (step @p185 :rule cong :premises (@p184) :args (@t269))
% 126.39/126.83  (step @p186 :rule refl :args (@t253))
% 126.39/126.83  (step @p187 :rule nary_cong :premises (@p186 @p185) :args (@t270))
% 126.39/126.83  (step @p188 :rule refl :args (@t146))
% 126.39/126.83  (step @p189 :rule refl :args (@t245))
% 126.39/126.83  (step @p190 :rule nary_cong :premises (@p153 @p189 @p151 @p188 @p187 @p182) :args (@t271))
% 126.39/126.83  (step @p191 :rule refl :args (@t254))
% 126.39/126.83  (step @p192 :rule nary_cong :premises (@p191 @p190 @p177) :args (@t272))
% 126.39/126.83  (step @p193 :rule cong :premises (@p192) :args (@t273))
% 126.39/126.83  (step @p194 :rule refl :args (@t156))
% 126.39/126.83  (step @p195 :rule cong :premises (@p179 @p194) :args (@t274))
% 126.39/126.83  (step @p196 :rule nary_cong :premises (@p154 @p153 @p152 @p151 @p150 @p195 @p193 @p176 @p167) :args (@t275))
% 126.39/126.83  (step @p197 :rule and_elim :premises (@p80) :args (1))
% 126.39/126.83  (step @p198 :rule symm :premises (@p197))
% 126.39/126.83  (step @p199 :rule refl :args (@t1))
% 126.39/126.83  (step @p200 :rule cong :premises (@p199 @p198) :args (@t44))
% 126.39/126.83  (step @p201 :rule cong :premises (@p200) :args (@t276))
% 126.39/126.83  (step @p202 :rule nary_cong :premises (@p201 @p196) :args (@t277))
% 126.39/126.83  (step @p203 :rule cong :premises (@p202) :args ((forall @t3 @t277)))
% 126.39/126.83  (step @p204 :rule trans :premises (@p203 @p158))
% 126.39/126.83  (step @p205 :rule bool-impl-elim :args (@t44 @t275))
% 126.39/126.83  (step @p206 :rule cong :premises (@p205) :args ((forall @t3 (=> @t44 @t275))))
% 126.39/126.83  (step @p207 :rule aci_norm :args ((= (and @t166 @t120 @t256 @t117 @t116 (and @t267 @t263) @t274 @t273) @t275)))
% 126.39/126.83  (step @p208 :rule aci_norm :args ((= (or (or @t254 @t271) @t246) @t272)))
% 126.39/126.83  (step @p209 :rule refl :args (@t246))
% 126.39/126.83  (step @p210 :rule aci_norm :args ((= (and @t279 @t278) @t271)))
% 126.39/126.83  (step @p211 :rule aci_norm :args ((= (and @t147 (and @t270 @t268)) @t278)))
% 126.39/126.83  (step @p212 :rule refl :args (@t268))
% 126.39/126.83  (step @p213 :rule refl :args (@t269))
% 126.39/126.83  (step @p214 :rule bool-or-de-morgan :args (@t251 @t140 false))
% 126.39/126.83  (step @p215 :rule nary_cong :premises (@p214 @p213) :args ((or (not @t280) @t269)))
% 126.39/126.83  (step @p216 :rule bool-and-de-morgan :args (@t280 @t139 true))
% 126.39/126.83  (step @p217 :rule trans :premises (@p216 @p215))
% 126.39/126.83  (step @p218 :rule nary_cong :premises (@p217 @p212) :args ((and (not @t281) @t268)))
% 126.39/126.83  (step @p219 :rule bool-or-de-morgan :args (@t281 @t138 false))
% 126.39/126.83  (step @p220 :rule trans :premises (@p219 @p218))
% 126.39/126.83  (step @p221 :rule refl :args (@t147))
% 126.39/126.83  (step @p222 :rule nary_cong :premises (@p221 @p220) :args ((and @t147 (not @t282))))
% 126.39/126.83  (step @p223 :rule trans :premises (@p222 @p211))
% 126.39/126.83  (step @p224 :rule bool-implies-de-morgan :args (@t147 @t282))
% 126.39/126.83  (step @p225 :rule trans :premises (@p224 @p223))
% 126.39/126.83  (step @p226 :rule refl :args (@t279))
% 126.39/126.83  (step @p227 :rule nary_cong :premises (@p226 @p225) :args ((and @t279 (not @t283))))
% 126.39/126.83  (step @p228 :rule trans :premises (@p227 @p210))
% 126.39/126.83  (step @p229 :rule bool-implies-de-morgan :args (@t279 @t283))
% 126.39/126.83  (step @p230 :rule trans :premises (@p229 @p228))
% 126.39/126.83  (step @p231 :rule refl :args (@t254))
% 126.39/126.83  (step @p232 :rule nary_cong :premises (@p231 @p230) :args ((or @t254 (not @t284))))
% 126.39/126.83  (step @p233 :rule bool-and-de-morgan :args (@t19 @t284 true))
% 126.39/126.83  (step @p234 :rule trans :premises (@p233 @p232))
% 126.39/126.83  (step @p235 :rule nary_cong :premises (@p234 @p209) :args ((or (not @t285) @t246)))
% 126.39/126.83  (step @p236 :rule trans :premises (@p235 @p208))
% 126.39/126.83  (step @p237 :rule bool-impl-elim :args (@t285 @t246))
% 126.39/126.83  (step @p238 :rule trans :premises (@p237 @p236))
% 126.39/126.83  (step @p239 :rule cong :premises (@p238) :args ((forall @t8 (=> @t285 @t246))))
% 126.39/126.83  (step @p240 :rule refl :args (@t152))
% 126.39/126.83  (step @p241 :rule refl :args (@t136))
% 126.39/126.83  (step @p242 :rule bool-impl-elim :args (@t128 @t129))
% 126.39/126.83  (step @p243 :rule cong :premises (@p242) :args (@t130))
% 126.39/126.83  (step @p244 :rule nary_cong :premises (@p153 @p243 @p241 @p240) :args (@t153))
% 126.39/126.83  (step @p245 :rule refl :args (@t138))
% 126.39/126.83  (step @p246 :rule refl :args (@t139))
% 126.39/126.83  (step @p247 :rule refl :args (@t140))
% 126.39/126.83  (step @p248 :rule bool-impl-elim :args (@t17 @t141))
% 126.39/126.83  (step @p249 :rule cong :premises (@p248) :args (@t142))
% 126.39/126.83  (step @p250 :rule nary_cong :premises (@p249 @p247) :args (@t143))
% 126.39/126.83  (step @p251 :rule nary_cong :premises (@p250 @p246) :args (@t144))
% 126.39/126.83  (step @p252 :rule nary_cong :premises (@p251 @p245) :args (@t145))
% 126.39/126.83  (step @p253 :rule refl :args (@t147))
% 126.39/126.83  (step @p254 :rule cong :premises (@p253 @p252) :args (@t148))
% 126.39/126.83  (step @p255 :rule nary_cong :premises (@p153 @p243) :args (@t131))
% 126.39/126.83  (step @p256 :rule cong :premises (@p255 @p254) :args (@t149))
% 126.39/126.83  (step @p257 :rule refl :args (@t19))
% 126.39/126.83  (step @p258 :rule nary_cong :premises (@p257 @p256) :args (@t150))
% 126.39/126.83  (step @p259 :rule cong :premises (@p258 @p244) :args (@t154))
% 126.39/126.83  (step @p260 :rule cong :premises (@p259) :args (@t155))
% 126.39/126.83  (step @p261 :rule trans :premises (@p260 @p239))
% 126.39/126.83  (step @p262 :rule eq-symm :args (@t156 @t137))
% 126.39/126.83  (step @p263 :rule eq-symm :args (@t228 tptp.xk))
% 126.39/126.83  (step @p264 :rule cong :premises (@p263) :args (@t286))
% 126.39/126.83  (step @p265 :rule nary_cong :premises (@p165 @p264 @p159) :args (@t287))
% 126.39/126.83  (step @p266 :rule cong :premises (@p265) :args (@t288))
% 126.39/126.83  (step @p267 :rule eq-symm :args (@t236 tptp.xk))
% 126.39/126.83  (step @p268 :rule nary_cong :premises (@p172 @p171 @p170 @p267) :args (@t289))
% 126.39/126.83  (step @p269 :rule nary_cong :premises (@p174 @p268) :args (@t290))
% 126.39/126.83  (step @p270 :rule cong :premises (@p269) :args (@t291))
% 126.39/126.83  (step @p271 :rule nary_cong :premises (@p270 @p266) :args ((and @t291 @t288)))
% 126.39/126.83  (step @p272 :rule alpha_equiv :args (@t294 @t295 (@list @t226)))
% 126.39/126.83  (step @p273 :rule alpha_equiv :args (@t298 @t295 (@list @t235)))
% 126.39/126.83  (step @p274 :rule nary_cong :premises (@p273 @p272) :args (@t299))
% 126.39/126.83  (step @p275 :rule quant-miniscope-and :args ((= (forall @t8 (and @t297 @t293)) @t299)))
% 126.39/126.83  (step @p276 :rule trans :premises (@p275 @p274))
% 126.39/126.83  (step @p277 :rule trans :premises (@p276 @p271))
% 126.39/126.83  (step @p278 :rule aci_norm :args ((= (or (or @t292 @t269) @t157) @t293)))
% 126.39/126.83  (step @p279 :rule refl :args (@t157))
% 126.39/126.83  (step @p280 :rule refl :args (@t249))
% 126.39/126.83  (step @p281 :rule bool-and-de-morgan :args (@t19 @t251 true))
% 126.39/126.83  (step @p282 :rule nary_cong :premises (@p281 @p280) :args ((and (not @t300) @t249)))
% 126.39/126.83  (step @p283 :rule bool-or-de-morgan :args (@t300 @t140 false))
% 126.39/126.83  (step @p284 :rule trans :premises (@p283 @p282))
% 126.39/126.83  (step @p285 :rule nary_cong :premises (@p284 @p213) :args ((or (not @t301) @t269)))
% 126.39/126.83  (step @p286 :rule bool-and-de-morgan :args (@t301 @t139 true))
% 126.39/126.83  (step @p287 :rule trans :premises (@p286 @p285))
% 126.39/126.83  (step @p288 :rule nary_cong :premises (@p287 @p279) :args ((or (not @t302) @t157)))
% 126.39/126.83  (step @p289 :rule trans :premises (@p288 @p278))
% 126.39/126.83  (step @p290 :rule bool-impl-elim :args (@t302 @t157))
% 126.39/126.83  (step @p291 :rule trans :premises (@p290 @p289))
% 126.39/126.83  (step @p292 :rule bool-impl-elim :args (@t157 @t296))
% 126.39/126.83  (step @p293 :rule nary_cong :premises (@p292 @p291) :args (@t303))
% 126.39/126.83  (step @p294 :rule cong :premises (@p293) :args ((forall @t8 @t303)))
% 126.39/126.83  (step @p295 :rule trans :premises (@p294 @p277))
% 126.39/126.83  (step @p296 :rule refl :args (@t157))
% 126.39/126.83  (step @p297 :rule nary_cong :premises (@p257 @p249) :args (@t158))
% 126.39/126.83  (step @p298 :rule nary_cong :premises (@p297 @p247) :args (@t159))
% 126.39/126.83  (step @p299 :rule nary_cong :premises (@p298 @p246) :args (@t160))
% 126.39/126.83  (step @p300 :rule cong :premises (@p299 @p296) :args (@t161))
% 126.39/126.83  (step @p301 :rule nary_cong :premises (@p257 @p249 @p247 @p246) :args (@t162))
% 126.39/126.83  (step @p302 :rule cong :premises (@p296 @p301) :args (@t163))
% 126.39/126.83  (step @p303 :rule nary_cong :premises (@p302 @p300) :args (@t164))
% 126.39/126.83  (step @p304 :rule cong :premises (@p303) :args (@t165))
% 126.39/126.83  (step @p305 :rule trans :premises (@p304 @p295))
% 126.39/126.83  (step @p306 :rule bool-impl-elim :args (@t115 @t118))
% 126.39/126.83  (step @p307 :rule cong :premises (@p306) :args (@t119))
% 126.39/126.83  (step @p308 :rule nary_cong :premises (@p154 @p153 @p307 @p151 @p150 @p305 @p262 @p261) :args (@t167))
% 126.39/126.83  (step @p309 :rule trans :premises (@p308 @p207))
% 126.39/126.83  (step @p310 :rule refl :args (@t44))
% 126.39/126.83  (step @p311 :rule cong :premises (@p310 @p309) :args (@t168))
% 126.39/126.83  (step @p312 :rule cong :premises (@p311) :args (@t169))
% 126.39/126.83  (step @p313 :rule trans :premises (@p312 @p206))
% 126.39/126.83  (step @p314 :rule trans :premises (@p313 @p204))
% 126.39/126.83  (step @p315 :rule and_elim :premises (@p85) :args (2))
% 126.39/126.83  (step @p316 :rule eq_resolve :premises (@p315 @p314))
% 126.39/126.83  (step @p317 :rule instantiate :premises (@p316) :args ((@list tptp.xi)))
% 126.39/126.83  (step @p318 :rule refl :args (tptp.xi))
% 126.39/126.83  (step @p319 :rule cong :premises (@p318 @p198) :args (@t170))
% 126.39/126.83  (step @p320 :rule eq_resolve :premises (@p86 @p319))
% 126.39/126.83  (step @p321 :rule cnf_or_pos :args (@t316))
% 126.39/126.83  (step @p322 :rule reordering :premises (@p321) :args ((or @t315 @t313 (not @t316))))
% 126.39/126.83  (step @p323 :rule chain_m_resolution :premises (@p322 @p320 @p317) :args (@t313 @t317 (@list @t314 @t316)))
% 126.39/126.83  (step @p324 :rule cnf_and_pos :args (@t313 6))
% 126.39/126.83  (step @p325 :rule reordering :premises (@p324) :args ((or @t311 (not @t313))))
% 126.39/126.83  (step @p326 :rule chain_m_resolution :premises (@p325 @p323) :args (@t311 @t318 (@list @t313)))
% 126.39/126.83  (step @p327 :rule refl :args (@t321))
% 126.39/126.83  (step @p328 :rule aci_norm :args ((= (and @t192 @t308 @t190 @t310 @t327 @t325) @t326)))
% 126.39/126.83  (step @p329 :rule refl :args (@t325))
% 126.39/126.83  (step @p330 :rule aci_norm :args ((= (or @t327 false) @t327)))
% 126.39/126.83  (step @p331 :rule evaluate :args ((not true)))
% 126.39/126.83  (step @p332 :rule eq-refl :args (@t183))
% 126.39/126.83  (step @p333 :rule cong :premises (@p332) :args (@t328))
% 126.39/126.83  (step @p334 :rule trans :premises (@p333 @p331))
% 126.39/126.83  (step @p335 :rule refl :args (@t327))
% 126.39/126.83  (step @p336 :rule nary_cong :premises (@p335 @p334) :args (@t329))
% 126.39/126.83  (step @p337 :rule trans :premises (@p336 @p330))
% 126.39/126.83  (step @p338 :rule refl :args (@t310))
% 126.39/126.83  (step @p339 :rule refl :args (@t190))
% 126.39/126.83  (step @p340 :rule refl :args (@t308))
% 126.39/126.83  (step @p341 :rule refl :args (@t192))
% 126.39/126.83  (step @p342 :rule nary_cong :premises (@p341 @p340 @p339 @p338 @p337 @p329) :args (@t330))
% 126.39/126.83  (step @p343 :rule trans :premises (@p342 @p328))
% 126.39/126.83  (step @p344 :rule refl :args (@t331))
% 126.39/126.83  (step @p345 :rule nary_cong :premises (@p344 @p343 @p327) :args (@t332))
% 126.39/126.83  (step @p346 :rule refl :args (@t311))
% 126.39/126.83  (step @p347 :rule cong :premises (@p346 @p345) :args ((=> @t311 @t332)))
% 126.39/126.83  (assume-push @p487 @t311)
% 126.39/126.83  (step @p349 :rule instantiate :premises (@p326) :args ((@list tptp.xQ)))
% 126.39/126.83  (step-pop @p488 :rule scope :premises (@p349))
% 126.39/126.83  (step @p350 :rule process_scope :premises (@p488) :args (@t332))
% 126.39/126.83  (step @p352 :rule eq_resolve :premises (@p350 @p347))
% 126.39/126.83  (step @p353 :rule implies_elim :premises (@p352))
% 126.39/126.83  (step @p354 :rule chain_m_resolution :premises (@p353 @p326) :args (@t333 @t318 (@list @t311)))
% 126.39/126.83  (step @p355 :rule refl :args (@t180))
% 126.39/126.83  (step @p356 :rule cong :premises (@p355 @p162) :args (@t181))
% 126.39/126.83  (step @p357 :rule refl :args (tptp.xQ))
% 126.39/126.83  (step @p358 :rule cong :premises (@p357 @p356) :args (@t182))
% 126.39/126.83  (step @p359 :rule and_elim :premises (@p88) :args (8))
% 126.39/126.83  (step @p360 :rule eq_resolve :premises (@p359 @p358))
% 126.39/126.83  (step @p361 :rule cnf_and_pos :args (@t326 4))
% 126.39/126.83  (step @p362 :rule reordering :premises (@p361) :args ((or @t325 @t334)))
% 126.39/126.83  (step @p363 :rule chain_m_resolution :premises (@p362 @p360) :args (@t334 @t318 (@list @t324)))
% 126.39/126.83  (step @p364 :rule and_elim :premises (@p88) :args (4))
% 126.39/126.83  (step @p365 :rule cnf_or_pos :args (@t333))
% 126.39/126.83  (step @p366 :rule reordering :premises (@p365) :args ((or @t331 @t326 @t321 (not @t333))))
% 126.39/126.83  (step @p367 :rule chain_m_resolution :premises (@p366 @p364 @p363 @p354) :args (@t321 (@list false true false) (@list @t187 @t326 @t333)))
% 126.39/126.83  (step @p368 :rule cnf_and_pos :args (@t321 3))
% 126.39/126.83  (step @p369 :rule reordering :premises (@p368) :args ((or @t319 (not @t321))))
% 126.39/126.83  (step @p370 :rule chain_m_resolution :premises (@p369 @p367) :args (@t319 @t318 (@list @t321)))
% 126.39/126.83  (step @p371 :rule symm :premises (@p370))
% 126.39/126.83  (step @p372 :rule bool-and-de-morgan :args (@t95 @t195 true))
% 126.39/126.83  (step @p373 :rule cong :premises (@p372) :args (@t335))
% 126.39/126.83  (step @p374 :rule cong :premises (@p373) :args (@t336))
% 126.39/126.83  (step @p375 :rule exists-elim :args ((= @t197 @t336)))
% 126.39/126.83  (step @p376 :rule trans :premises (@p375 @p374))
% 126.39/126.83  (step @p377 :rule and_elim :premises (@p89) :args (8))
% 126.39/126.83  (step @p378 :rule eq_resolve :premises (@p377 @p376))
% 126.39/126.83  (step @p379 :rule refl :args (@t345))
% 126.39/126.83  (step @p380 :rule bool-double-not-elim :args (@t337))
% 126.39/126.83  (step @p381 :rule nary_cong :premises (@p380 @p379) :args ((or (not @t346) @t345)))
% 126.39/126.83  (step @p382 :rule eq-symm :args (@t339 @t194))
% 126.39/126.83  (step @p383 :rule cong :premises (@p382) :args (@t347))
% 126.39/126.83  (step @p384 :rule refl :args (@t343))
% 126.39/126.83  (step @p385 :rule nary_cong :premises (@p384 @p383) :args (@t348))
% 126.39/126.83  (step @p386 :rule cong :premises (@p385) :args (@t349))
% 126.39/126.83  (step @p387 :rule refl :args (@t346))
% 126.39/126.83  (step @p388 :rule cong :premises (@p387 @p386) :args ((=> @t346 @t349)))
% 126.39/126.83  (assume-push @p489 @t346)
% 126.39/126.83  (step @p390 :rule skolemize :premises (@p378))
% 126.39/126.83  (step-pop @p490 :rule scope :premises (@p390))
% 126.39/126.83  (step @p391 :rule process_scope :premises (@p490) :args (@t349))
% 126.39/126.83  (step @p393 :rule eq_resolve :premises (@p391 @p388))
% 126.39/126.83  (step @p394 :rule implies_elim :premises (@p393))
% 126.39/126.83  (step @p395 :rule eq_resolve :premises (@p394 @p381))
% 126.39/126.83  (step @p396 :rule chain_m_resolution :premises (@p395 @p378) :args (@t345 @t225 (@list @t337)))
% 126.39/126.83  (step @p397 :rule bool-double-not-elim :args (@t340))
% 126.39/126.83  (step @p398 :rule refl :args (@t344))
% 126.39/126.83  (step @p399 :rule nary_cong :premises (@p398 @p397) :args ((or @t344 (not @t341))))
% 126.39/126.83  (step @p400 :rule cnf_or_neg :args (@t344 1))
% 126.39/126.83  (step @p401 :rule eq_resolve :premises (@p400 @p399))
% 126.39/126.83  (step @p402 :rule reordering :premises (@p401) :args ((or @t340 @t344)))
% 126.39/126.83  (step @p403 :rule chain_m_resolution :premises (@p402 @p396) :args (@t340 @t225 @t350))
% 126.39/126.83  (step @p404 :rule symm :premises (@p403))
% 126.39/126.83  (step @p405 :rule trans :premises (@p404 @p371 @p145))
% 126.39/126.83  (step @p406 :rule symm :premises (@p405))
% 126.39/126.83  (step @p407 :rule trans :premises (@p145 @p406))
% 126.39/126.83  (step @p408 :rule true_intro :premises (@p407))
% 126.39/126.83  (step @p409 :rule bool-and-de-morgan :args (@t89 @t351 true))
% 126.39/126.83  (step @p410 :rule cong :premises (@p409) :args (@t353))
% 126.39/126.83  (step @p411 :rule cong :premises (@p410) :args (@t354))
% 126.39/126.83  (step @p412 :rule exists-elim :args ((= (exists @t8 @t352) @t354)))
% 126.39/126.83  (step @p413 :rule trans :premises (@p412 @p411))
% 126.39/126.83  (step @p414 :rule eq-symm :args (@t88 @t1))
% 126.39/126.83  (step @p415 :rule refl :args (@t89))
% 126.39/126.83  (step @p416 :rule nary_cong :premises (@p415 @p414) :args (@t90))
% 126.39/126.83  (step @p417 :rule cong :premises (@p416) :args (@t91))
% 126.39/126.83  (step @p418 :rule trans :premises (@p417 @p413))
% 126.39/126.83  (step @p419 :rule refl :args (@t86))
% 126.39/126.83  (step @p420 :rule cong :premises (@p419 @p418) :args (@t92))
% 126.39/126.83  (step @p421 :rule cong :premises (@p420) :args (@t93))
% 126.39/126.83  (step @p422 :rule and_elim :premises (@p76) :args (4))
% 126.39/126.83  (step @p423 :rule eq_resolve :premises (@p422 @p421))
% 126.39/126.83  (step @p424 :rule eq-symm :args (@t177 @t88))
% 126.39/126.83  (step @p425 :rule cong :premises (@p424) :args (@t355))
% 126.39/126.83  (step @p426 :rule refl :args (@t356))
% 126.39/126.83  (step @p427 :rule nary_cong :premises (@p426 @p425) :args (@t357))
% 126.39/126.83  (step @p428 :rule cong :premises (@p427) :args (@t358))
% 126.39/126.83  (step @p429 :rule cong :premises (@p428) :args (@t359))
% 126.39/126.83  (step @p430 :rule refl :args (@t360))
% 126.39/126.83  (step @p431 :rule cong :premises (@p430 @p429) :args (@t361))
% 126.39/126.83  (step @p432 :rule refl :args (@t362))
% 126.39/126.83  (step @p433 :rule cong :premises (@p432 @p431) :args ((=> @t362 @t361)))
% 126.39/126.83  (assume-push @p491 @t362)
% 126.39/126.83  (step @p435 :rule instantiate :premises (@p423) :args (@t363))
% 126.39/126.83  (step-pop @p492 :rule scope :premises (@p435))
% 126.39/126.83  (step @p436 :rule process_scope :premises (@p492) :args (@t361))
% 126.39/126.83  (step @p438 :rule eq_resolve :premises (@p436 @p433))
% 126.39/126.83  (step @p439 :rule implies_elim :premises (@p438))
% 126.39/126.83  (step @p440 :rule chain_m_resolution :premises (@p439 @p423) :args (@t366 @t318 (@list @t362)))
% 126.39/126.83  (step @p441 :rule bool-impl-elim :args (@t86 @t85))
% 126.39/126.83  (step @p442 :rule cong :premises (@p441) :args (@t87))
% 126.39/126.83  (step @p443 :rule and_elim :premises (@p76) :args (5))
% 126.39/126.83  (step @p444 :rule eq_resolve :premises (@p443 @p442))
% 126.39/126.83  (step @p445 :rule instantiate :premises (@p444) :args (@t363))
% 126.39/126.83  (step @p446 :rule refl :args (tptp.xT))
% 126.39/126.83  (step @p447 :rule cong :premises (@p101 @p446) :args (@t200))
% 126.39/126.83  (step @p448 :rule cong :premises (@p447) :args (@t201))
% 126.39/126.83  (step @p449 :rule eq_resolve :premises (@p90 @p448))
% 126.39/126.83  (step @p450 :rule cnf_or_pos :args (@t369))
% 126.39/126.83  (step @p451 :rule reordering :premises (@p450) :args ((or @t367 @t368 (not @t369))))
% 126.39/126.83  (step @p452 :rule chain_m_resolution :premises (@p451 @p449 @p445) :args (@t368 @t370 (@list @t367 @t369)))
% 126.39/126.83  (step @p453 :rule bool-double-not-elim :args (@t364))
% 126.39/126.83  (step @p454 :rule refl :args (@t371))
% 126.39/126.83  (step @p455 :rule nary_cong :premises (@p454 @p430 @p453) :args ((or @t371 @t360 (not @t365))))
% 126.39/126.83  (step @p456 :rule cnf_equiv_pos2 :args (@t366))
% 126.39/126.83  (step @p457 :rule eq_resolve :premises (@p456 @p455))
% 126.39/126.83  (step @p458 :rule reordering :premises (@p457) :args ((or @t360 @t364 @t371)))
% 126.39/126.83  (step @p459 :rule chain_m_resolution :premises (@p458 @p452 @p440) :args (@t364 @t370 (@list @t360 @t366)))
% 126.39/126.83  (step @p460 :rule eq-symm :args (@t339 @t177))
% 126.39/126.83  (step @p461 :rule cong :premises (@p460) :args (@t372))
% 126.39/126.83  (step @p462 :rule nary_cong :premises (@p384 @p461) :args (@t373))
% 126.39/126.83  (step @p463 :rule refl :args (@t364))
% 126.39/126.83  (step @p464 :rule cong :premises (@p463 @p462) :args ((=> @t364 @t373)))
% 126.39/126.83  (assume-push @p493 @t364)
% 126.39/126.83  (step @p466 :rule instantiate :premises (@p459) :args ((@list @t338)))
% 126.39/126.83  (step-pop @p494 :rule scope :premises (@p466))
% 126.39/126.83  (step @p467 :rule process_scope :premises (@p494) :args (@t373))
% 126.39/126.83  (step @p469 :rule eq_resolve :premises (@p467 @p464))
% 126.39/126.83  (step @p470 :rule implies_elim :premises (@p469))
% 126.39/126.83  (step @p471 :rule chain_m_resolution :premises (@p470 @p459) :args (@t375 @t318 (@list @t364)))
% 126.39/126.83  (step @p472 :rule bool-double-not-elim :args (@t342))
% 126.39/126.83  (step @p473 :rule nary_cong :premises (@p398 @p472) :args ((or @t344 (not @t343))))
% 126.39/126.83  (step @p474 :rule cnf_or_neg :args (@t344 0))
% 126.39/126.83  (step @p475 :rule eq_resolve :premises (@p474 @p473))
% 126.39/126.83  (step @p476 :rule reordering :premises (@p475) :args ((or @t342 @t344)))
% 126.39/126.83  (step @p477 :rule chain_m_resolution :premises (@p476 @p396) :args (@t342 @t225 @t350))
% 126.39/126.83  (step @p478 :rule cnf_or_pos :args (@t375))
% 126.39/126.83  (step @p479 :rule reordering :premises (@p478) :args ((or @t343 @t374 (not @t375))))
% 126.39/126.83  (step @p480 :rule chain_m_resolution :premises (@p479 @p477 @p471) :args (@t374 @t317 (@list @t342 @t375)))
% 126.39/126.83  (step @p481 :rule false_intro :premises (@p480))
% 126.39/126.83  (step @p482 :rule symm :premises (@p481))
% 126.39/126.83  (step @p483 :rule trans :premises (@p482 @p408))
% 126.39/126.83  (step @p484 false :rule eq_resolve :premises (@p483 @p92))
% 126.39/126.83  )
% 126.39/126.83  % SZS output end Proof
% 126.39/126.83  % cvc5 exiting
%------------------------------------------------------------------------------