cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : NUM579+3 : 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 : n022.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 08:39:54 AM UTC 2026

% Result   : Theorem 4.52s 4.71s
% Output   : Proof 4.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM579+3 : TPTP v9.2.1. Released v4.0.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n022.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 11:32:23 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.30/0.52  %----Proving TF0_NAR, FOF, or CNF
% 4.52/4.71  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 4.52/4.71  % SZS status Theorem
% 4.52/4.71  % SZS output start Proof
% 4.52/4.71  (
% 4.52/4.71  (declare-sort $$unsorted 0)
% 4.52/4.71  (declare-const tptp.xN $$unsorted)
% 4.52/4.71  (declare-const tptp.sz00 $$unsorted)
% 4.52/4.71  (declare-const tptp.aFunction0 (-> $$unsorted Bool))
% 4.52/4.71  (declare-const tptp.szNzAzT0 $$unsorted)
% 4.52/4.71  (declare-const tptp.xk $$unsorted)
% 4.52/4.71  (declare-const tptp.aElementOf0 (-> $$unsorted $$unsorted Bool))
% 4.52/4.71  (declare-const tptp.sdtmndt0 (-> $$unsorted $$unsorted $$unsorted))
% 4.52/4.71  (declare-const tptp.sdtexdt0 (-> $$unsorted $$unsorted $$unsorted))
% 4.52/4.71  (declare-const tptp.sdtlseqdt0 (-> $$unsorted $$unsorted Bool))
% 4.52/4.71  (declare-const tptp.sdtpldt0 (-> $$unsorted $$unsorted $$unsorted))
% 4.52/4.71  (declare-const tptp.isCountable0 (-> $$unsorted Bool))
% 4.52/4.71  (declare-const tptp.isFinite0 (-> $$unsorted Bool))
% 4.52/4.71  (declare-const tptp.aElement0 (-> $$unsorted Bool))
% 4.52/4.71  (declare-const tptp.aSet0 (-> $$unsorted Bool))
% 4.52/4.71  (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool))
% 4.52/4.71  (declare-const tptp.sbrdtbr0 (-> $$unsorted $$unsorted))
% 4.52/4.71  (declare-const tptp.szmzizndt0 (-> $$unsorted $$unsorted))
% 4.52/4.71  (declare-const tptp.sdtlpdtrp0 (-> $$unsorted $$unsorted $$unsorted))
% 4.52/4.71  (declare-const tptp.szszuzczcdt0 (-> $$unsorted $$unsorted))
% 4.52/4.71  (declare-const tptp.aSubsetOf0 (-> $$unsorted $$unsorted Bool))
% 4.52/4.71  (declare-const tptp.szDzizrdt0 (-> $$unsorted $$unsorted))
% 4.52/4.71  (declare-const tptp.xK $$unsorted)
% 4.52/4.71  (declare-const tptp.szmzazxdt0 (-> $$unsorted $$unsorted))
% 4.52/4.71  (declare-const tptp.xT $$unsorted)
% 4.52/4.71  (declare-const tptp.slbdtrb0 (-> $$unsorted $$unsorted))
% 4.52/4.71  (declare-const tptp.slbdtsldtrb0 (-> $$unsorted $$unsorted $$unsorted))
% 4.52/4.71  (declare-const tptp.xS $$unsorted)
% 4.52/4.71  (declare-const tptp.xc $$unsorted)
% 4.52/4.71  (declare-const tptp.szDzozmdt0 (-> $$unsorted $$unsorted))
% 4.52/4.71  (declare-const tptp.slcrc0 $$unsorted)
% 4.52/4.71  (declare-const tptp.sdtlbdtrb0 (-> $$unsorted $$unsorted $$unsorted))
% 4.52/4.71  (declare-const tptp.sdtlcdtrc0 (-> $$unsorted $$unsorted $$unsorted))
% 4.52/4.71  (define @t1 () (@var "W0" $$unsorted))
% 4.52/4.71  (define @t2 () (tptp.aSet0 @t1))
% 4.52/4.71  (define @t3 () (@list @t1))
% 4.52/4.71  (define @t4 () (tptp.aElement0 @t1))
% 4.52/4.71  (define @t5 () (@var "W1" $$unsorted))
% 4.52/4.71  (define @t6 () (tptp.aElement0 @t5))
% 4.52/4.71  (define @t7 () (tptp.aElementOf0 @t5 @t1))
% 4.52/4.71  (define @t8 () (@list @t5))
% 4.52/4.71  (define @t9 () (forall @t8 (=> @t7 @t6)))
% 4.52/4.71  (define @t10 () (=> @t2 @t9))
% 4.52/4.71  (define @t11 () (forall @t3 @t10))
% 4.52/4.71  (define @t12 () (tptp.isFinite0 @t1))
% 4.52/4.71  (define @t13 () (= @t1 tptp.slcrc0))
% 4.52/4.71  (define @t14 () (tptp.isCountable0 @t1))
% 4.52/4.71  (define @t15 () (not @t12))
% 4.52/4.71  (define @t16 () (and @t2 @t14))
% 4.52/4.71  (define @t17 () (not @t13))
% 4.52/4.71  (define @t18 () (@var "W2" $$unsorted))
% 4.52/4.71  (define @t19 () (tptp.aElementOf0 @t18 @t1))
% 4.52/4.71  (define @t20 () (tptp.aElementOf0 @t18 @t5))
% 4.52/4.71  (define @t21 () (@list @t18))
% 4.52/4.71  (define @t22 () (forall @t21 (=> @t20 @t19)))
% 4.52/4.71  (define @t23 () (tptp.aSet0 @t5))
% 4.52/4.71  (define @t24 () (and @t23 @t22))
% 4.52/4.71  (define @t25 () (tptp.aSubsetOf0 @t5 @t1))
% 4.52/4.71  (define @t26 () (= @t25 @t24))
% 4.52/4.71  (define @t27 () (forall @t8 @t26))
% 4.52/4.71  (define @t28 () (=> @t2 @t27))
% 4.52/4.71  (define @t29 () (forall @t3 @t28))
% 4.52/4.71  (define @t30 () (tptp.isFinite0 @t5))
% 4.52/4.71  (define @t31 () (and @t2 @t12))
% 4.52/4.71  (define @t32 () (= @t1 @t5))
% 4.52/4.71  (define @t33 () (tptp.aSubsetOf0 @t1 @t5))
% 4.52/4.71  (define @t34 () (@list @t1 @t5))
% 4.52/4.71  (define @t35 () (tptp.aSubsetOf0 @t5 @t18))
% 4.52/4.71  (define @t36 () (tptp.aSet0 @t18))
% 4.52/4.71  (define @t37 () (@list @t1 @t5 @t18))
% 4.52/4.71  (define @t38 () (@var "W3" $$unsorted))
% 4.52/4.71  (define @t39 () (= @t38 @t5))
% 4.52/4.71  (define @t40 () (tptp.aElementOf0 @t38 @t1))
% 4.52/4.71  (define @t41 () (tptp.aElement0 @t38))
% 4.52/4.71  (define @t42 () (tptp.aElementOf0 @t38 @t18))
% 4.52/4.71  (define @t43 () (@list @t38))
% 4.52/4.71  (define @t44 () (tptp.sdtpldt0 @t1 @t5))
% 4.52/4.71  (define @t45 () (and @t2 @t6))
% 4.52/4.71  (define @t46 () (tptp.sdtmndt0 @t1 @t5))
% 4.52/4.71  (define @t47 () (tptp.sdtpldt0 @t5 @t1))
% 4.52/4.71  (define @t48 () (tptp.isCountable0 @t5))
% 4.52/4.71  (define @t49 () (and @t23 @t48))
% 4.52/4.71  (define @t50 () (tptp.sdtmndt0 @t5 @t1))
% 4.52/4.71  (define @t51 () (and @t23 @t30))
% 4.52/4.71  (define @t52 () (tptp.aElementOf0 tptp.sz00 tptp.szNzAzT0))
% 4.52/4.71  (define @t53 () (tptp.szszuzczcdt0 @t1))
% 4.52/4.71  (define @t54 () (tptp.aElementOf0 @t1 tptp.szNzAzT0))
% 4.52/4.71  (define @t55 () (tptp.szszuzczcdt0 @t5))
% 4.52/4.71  (define @t56 () (tptp.aElementOf0 @t5 tptp.szNzAzT0))
% 4.52/4.71  (define @t57 () (and @t54 @t56))
% 4.52/4.71  (define @t58 () (= @t1 tptp.sz00))
% 4.52/4.71  (define @t59 () (tptp.sdtlseqdt0 @t1 @t5))
% 4.52/4.71  (define @t60 () (tptp.sdtlseqdt0 tptp.sz00 @t1))
% 4.52/4.71  (define @t61 () (forall @t3 (=> @t54 @t60)))
% 4.52/4.71  (define @t62 () (tptp.sdtlseqdt0 @t5 @t1))
% 4.52/4.71  (define @t63 () (tptp.sdtlseqdt0 @t5 @t18))
% 4.52/4.71  (define @t64 () (tptp.aElementOf0 @t18 tptp.szNzAzT0))
% 4.52/4.71  (define @t65 () (tptp.sbrdtbr0 @t1))
% 4.52/4.71  (define @t66 () (tptp.aElementOf0 @t65 tptp.szNzAzT0))
% 4.52/4.71  (define @t67 () (=> @t2 (= @t66 @t12)))
% 4.52/4.71  (define @t68 () (forall @t3 @t67))
% 4.52/4.71  (define @t69 () (tptp.szszuzczcdt0 @t65))
% 4.52/4.71  (define @t70 () (= (tptp.sbrdtbr0 @t44) @t69))
% 4.52/4.71  (define @t71 () (not @t7))
% 4.52/4.71  (define @t72 () (=> @t71 @t70))
% 4.52/4.71  (define @t73 () (forall @t8 (=> @t6 @t72)))
% 4.52/4.71  (define @t74 () (=> @t31 @t73))
% 4.52/4.71  (define @t75 () (forall @t3 @t74))
% 4.52/4.71  (define @t76 () (tptp.sbrdtbr0 @t5))
% 4.52/4.71  (define @t77 () (and @t2 @t56))
% 4.52/4.71  (define @t78 () (tptp.szmzizndt0 @t1))
% 4.52/4.71  (define @t79 () (tptp.aSubsetOf0 @t1 tptp.szNzAzT0))
% 4.52/4.71  (define @t80 () (tptp.szmzizndt0 @t5))
% 4.52/4.71  (define @t81 () (tptp.aSubsetOf0 @t5 tptp.szNzAzT0))
% 4.52/4.71  (define @t82 () (tptp.slbdtrb0 @t1))
% 4.52/4.71  (define @t83 () (tptp.slbdtrb0 @t5))
% 4.52/4.71  (define @t84 () (tptp.sbrdtbr0 @t38))
% 4.52/4.71  (define @t85 () (tptp.aSubsetOf0 @t38 @t1))
% 4.52/4.71  (define @t86 () (tptp.slbdtsldtrb0 @t1 @t5))
% 4.52/4.71  (define @t87 () (tptp.slbdtsldtrb0 @t5 @t1))
% 4.52/4.71  (define @t88 () (tptp.aFunction0 @t1))
% 4.52/4.71  (define @t89 () (tptp.szDzozmdt0 @t1))
% 4.52/4.71  (define @t90 () (tptp.sdtlpdtrp0 @t1 @t5))
% 4.52/4.71  (define @t91 () (tptp.aElementOf0 @t5 @t89))
% 4.52/4.71  (define @t92 () (tptp.sdtlpdtrp0 @t1 @t38))
% 4.52/4.71  (define @t93 () (tptp.aElementOf0 @t38 @t89))
% 4.52/4.71  (define @t94 () (tptp.sdtlbdtrb0 @t1 @t5))
% 4.52/4.71  (define @t95 () (and @t88 @t6))
% 4.52/4.71  (define @t96 () (@var "W4" $$unsorted))
% 4.52/4.71  (define @t97 () (tptp.aElementOf0 @t96 @t5))
% 4.52/4.71  (define @t98 () (@list @t96))
% 4.52/4.71  (define @t99 () (tptp.sdtlcdtrc0 @t1 @t5))
% 4.52/4.71  (define @t100 () (tptp.aSubsetOf0 @t5 @t89))
% 4.52/4.71  (define @t101 () (tptp.sdtlcdtrc0 @t1 @t89))
% 4.52/4.71  (define @t102 () (tptp.szDzozmdt0 @t18))
% 4.52/4.71  (define @t103 () (tptp.aFunction0 @t18))
% 4.52/4.71  (define @t104 () (tptp.szDzizrdt0 @t1))
% 4.52/4.71  (define @t105 () (tptp.aSet0 tptp.xS))
% 4.52/4.71  (define @t106 () (tptp.szDzozmdt0 tptp.xc))
% 4.52/4.71  (define @t107 () (tptp.sdtlcdtrc0 tptp.xc @t106))
% 4.52/4.71  (define @t108 () (tptp.aElementOf0 @t1 @t107))
% 4.52/4.71  (define @t109 () (tptp.slbdtsldtrb0 tptp.xS tptp.xK))
% 4.52/4.71  (define @t110 () (tptp.aElementOf0 @t1 @t106))
% 4.52/4.71  (define @t111 () (= @t65 tptp.xK))
% 4.52/4.71  (define @t112 () (tptp.aSubsetOf0 @t1 tptp.xS))
% 4.52/4.71  (define @t113 () (forall @t8 (=> @t7 (tptp.aElementOf0 @t5 tptp.xS))))
% 4.52/4.71  (define @t114 () (@var "W5" $$unsorted))
% 4.52/4.71  (define @t115 () (@var "W6" $$unsorted))
% 4.52/4.71  (define @t116 () (@list @t114))
% 4.52/4.71  (define @t117 () (tptp.aElementOf0 @t38 tptp.xT))
% 4.52/4.71  (define @t118 () (tptp.sdtlcdtrc0 @t18 @t102))
% 4.52/4.71  (define @t119 () (tptp.aElementOf0 @t38 @t118))
% 4.52/4.71  (define @t120 () (tptp.aElementOf0 @t38 @t102))
% 4.52/4.71  (define @t121 () (= @t84 @t1))
% 4.52/4.71  (define @t122 () (tptp.aSubsetOf0 @t38 @t5))
% 4.52/4.71  (define @t123 () (forall @t98 (=> (tptp.aElementOf0 @t96 @t38) @t97)))
% 4.52/4.71  (define @t124 () (tptp.aSet0 @t38))
% 4.52/4.71  (define @t125 () (tptp.szszuzczcdt0 tptp.xk))
% 4.52/4.71  (define @t126 () (tptp.sdtlpdtrp0 tptp.xN @t53))
% 4.52/4.71  (define @t127 () (tptp.sdtlpdtrp0 tptp.xN @t1))
% 4.52/4.71  (define @t128 () (tptp.szmzizndt0 @t127))
% 4.52/4.71  (define @t129 () (tptp.sdtmndt0 @t127 @t128))
% 4.52/4.71  (define @t130 () (tptp.aElementOf0 @t5 @t129))
% 4.52/4.71  (define @t131 () (tptp.aElementOf0 @t5 @t127))
% 4.52/4.71  (define @t132 () (tptp.aSet0 @t129))
% 4.52/4.71  (define @t133 () (tptp.aElementOf0 @t128 @t127))
% 4.52/4.71  (define @t134 () (tptp.isCountable0 @t127))
% 4.52/4.71  (define @t135 () (tptp.aSubsetOf0 @t127 tptp.szNzAzT0))
% 4.52/4.71  (define @t136 () (forall @t8 (=> @t131 @t56)))
% 4.52/4.71  (define @t137 () (tptp.aSet0 @t127))
% 4.52/4.71  (define @t138 () (tptp.sdtlpdtrp0 tptp.xN tptp.sz00))
% 4.52/4.71  (define @t139 () (and @t137 @t136 @t135 @t134))
% 4.52/4.71  (define @t140 () (=> @t54 @t139))
% 4.52/4.71  (define @t141 () (forall @t3 @t140))
% 4.52/4.71  (define @t142 () (tptp.sdtlpdtrp0 tptp.xN @t5))
% 4.52/4.71  (define @t143 () (tptp.aSubsetOf0 @t127 @t142))
% 4.52/4.71  (define @t144 () (tptp.aElementOf0 @t18 @t142))
% 4.52/4.71  (define @t145 () (tptp.aElementOf0 @t18 @t127))
% 4.52/4.71  (define @t146 () (forall @t21 (=> @t145 @t144)))
% 4.52/4.71  (define @t147 () (and @t146 @t143))
% 4.52/4.71  (define @t148 () (=> @t62 @t147))
% 4.52/4.71  (define @t149 () (=> @t57 @t148))
% 4.52/4.71  (define @t150 () (forall @t34 @t149))
% 4.52/4.71  (define @t151 () (tptp.sdtlseqdt0 @t128 @t18))
% 4.52/4.71  (define @t152 () (forall @t21 (=> @t145 @t151)))
% 4.52/4.71  (define @t153 () (and @t133 @t152))
% 4.52/4.71  (define @t154 () (tptp.sdtpldt0 @t5 @t128))
% 4.52/4.71  (define @t155 () (tptp.aElementOf0 @t154 @t109))
% 4.52/4.71  (define @t156 () (tptp.sbrdtbr0 @t154))
% 4.52/4.71  (define @t157 () (tptp.aSubsetOf0 @t154 tptp.xS))
% 4.52/4.71  (define @t158 () (tptp.aElementOf0 @t18 tptp.xS))
% 4.52/4.71  (define @t159 () (tptp.aElementOf0 @t18 @t154))
% 4.52/4.71  (define @t160 () (forall @t21 (=> @t159 @t158)))
% 4.52/4.71  (define @t161 () (or @t160 @t157))
% 4.52/4.71  (define @t162 () (and @t161 (= @t156 tptp.xK)))
% 4.52/4.71  (define @t163 () (or @t162 @t155))
% 4.52/4.71  (define @t164 () (= @t18 @t128))
% 4.52/4.71  (define @t165 () (tptp.aElement0 @t18))
% 4.52/4.71  (define @t166 () (forall @t21 (= @t159 (and @t165 (or @t20 @t164)))))
% 4.52/4.71  (define @t167 () (tptp.aSet0 @t154))
% 4.52/4.71  (define @t168 () (and @t167 @t166))
% 4.52/4.71  (define @t169 () (=> @t168 @t163))
% 4.52/4.71  (define @t170 () (=> @t153 @t169))
% 4.52/4.71  (define @t171 () (tptp.slbdtsldtrb0 @t129 tptp.xk))
% 4.52/4.71  (define @t172 () (tptp.aElementOf0 @t5 @t171))
% 4.52/4.71  (define @t173 () (= @t76 tptp.xk))
% 4.52/4.71  (define @t174 () (tptp.aSubsetOf0 @t5 @t129))
% 4.52/4.71  (define @t175 () (tptp.aElementOf0 @t18 @t129))
% 4.52/4.71  (define @t176 () (forall @t21 (=> @t20 @t175)))
% 4.52/4.71  (define @t177 () (forall @t21 (= @t175 (and @t165 @t145 (not @t164)))))
% 4.52/4.71  (define @t178 () (and @t23 @t133 @t152 @t132 @t177 @t176 @t174 @t173 @t172))
% 4.52/4.71  (define @t179 () (=> @t178 @t170))
% 4.52/4.71  (define @t180 () (forall @t8 @t179))
% 4.52/4.71  (define @t181 () (=> @t54 @t180))
% 4.52/4.71  (define @t182 () (forall @t3 @t181))
% 4.52/4.71  (define @t183 () (not @t182))
% 4.52/4.71  (define @t184 () (@var "BOUND_VARIABLE_8250" $$unsorted))
% 4.52/4.71  (define @t185 () (= (tptp.aSubsetOf0 @t184 @t1) (and (tptp.aSet0 @t184) (forall @t21 (or (not (tptp.aElementOf0 @t18 @t184)) @t19)))))
% 4.52/4.71  (define @t186 () (not @t2))
% 4.52/4.71  (define @t187 () (or @t186 @t185))
% 4.52/4.71  (define @t188 () (@list @t184))
% 4.52/4.71  (define @t189 () (forall @t188 @t187))
% 4.52/4.71  (define @t190 () (forall @t188 @t185))
% 4.52/4.71  (define @t191 () (@list @t5))
% 4.52/4.71  (define @t192 () (or @t186 @t190))
% 4.52/4.71  (define @t193 () (not @t20))
% 4.52/4.71  (define @t194 () (forall @t8 (= @t25 (and @t23 (forall @t21 (or @t193 @t19))))))
% 4.52/4.71  (define @t195 () (@var "BOUND_VARIABLE_9974" $$unsorted))
% 4.52/4.71  (define @t196 () (tptp.sdtpldt0 @t195 @t128))
% 4.52/4.71  (define @t197 () (tptp.aElementOf0 @t196 @t109))
% 4.52/4.71  (define @t198 () (@var "BOUND_VARIABLE_9976" $$unsorted))
% 4.52/4.71  (define @t199 () (and (or (tptp.aSubsetOf0 @t196 tptp.xS) (not (tptp.aElementOf0 @t198 @t196)) (tptp.aElementOf0 @t198 tptp.xS)) (= tptp.xK (tptp.sbrdtbr0 @t196))))
% 4.52/4.71  (define @t200 () (tptp.aElementOf0 @t18 @t195))
% 4.52/4.71  (define @t201 () (not (forall @t21 (= (tptp.aElementOf0 @t18 @t196) (and @t165 (or @t200 @t164))))))
% 4.52/4.71  (define @t202 () (not (tptp.aSet0 @t196)))
% 4.52/4.71  (define @t203 () (not (tptp.aElementOf0 @t195 @t171)))
% 4.52/4.71  (define @t204 () (tptp.sbrdtbr0 @t195))
% 4.52/4.71  (define @t205 () (not (tptp.aSubsetOf0 @t195 @t129)))
% 4.52/4.71  (define @t206 () (not (forall @t21 (or (not @t200) @t175))))
% 4.52/4.71  (define @t207 () (not (tptp.aSet0 @t195)))
% 4.52/4.71  (define @t208 () (not @t177))
% 4.52/4.71  (define @t209 () (not @t132))
% 4.52/4.71  (define @t210 () (not @t145))
% 4.52/4.71  (define @t211 () (forall @t21 (or @t210 @t151)))
% 4.52/4.71  (define @t212 () (not @t211))
% 4.52/4.71  (define @t213 () (not @t133))
% 4.52/4.71  (define @t214 () (not @t54))
% 4.52/4.71  (define @t215 () (@list @t1 @t195 @t198))
% 4.52/4.71  (define @t216 () (forall @t215 (or @t214 @t213 @t212 @t209 @t208 @t207 @t206 @t205 (not (= tptp.xk @t204)) @t203 @t202 @t201 @t199 @t197)))
% 4.52/4.71  (define @t217 () (@quantifiers_skolemize @t216 0))
% 4.52/4.71  (define @t218 () (tptp.sdtlpdtrp0 tptp.xN @t217))
% 4.52/4.71  (define @t219 () (@var "BOUND_VARIABLE_9850" $$unsorted))
% 4.52/4.71  (define @t220 () (or (not (tptp.aElementOf0 @t219 @t127)) (tptp.aElementOf0 @t219 tptp.szNzAzT0)))
% 4.52/4.71  (define @t221 () (and @t137 @t220 @t135 @t134))
% 4.52/4.71  (define @t222 () (or @t214 @t221))
% 4.52/4.71  (define @t223 () (@list @t219))
% 4.52/4.71  (define @t224 () (forall @t223 @t222))
% 4.52/4.71  (define @t225 () (forall @t223 @t134))
% 4.52/4.71  (define @t226 () (forall @t223 @t135))
% 4.52/4.71  (define @t227 () (forall @t223 @t220))
% 4.52/4.71  (define @t228 () (forall @t223 @t137))
% 4.52/4.71  (define @t229 () (and @t228 @t227 @t226 @t225))
% 4.52/4.71  (define @t230 () (forall @t223 @t221))
% 4.52/4.71  (define @t231 () (or @t214 @t230))
% 4.52/4.71  (define @t232 () (and @t137 (forall @t8 (or (not @t131) @t56)) @t135 @t134))
% 4.52/4.71  (define @t233 () (tptp.szmzizndt0 @t138))
% 4.52/4.71  (define @t234 () (tptp.aSet0 @t138))
% 4.52/4.71  (define @t235 () (and @t234 (or (not (tptp.aElementOf0 @t233 @t138)) (tptp.aElementOf0 @t233 tptp.szNzAzT0)) (tptp.aSubsetOf0 @t138 tptp.szNzAzT0) (tptp.isCountable0 @t138)))
% 4.52/4.71  (define @t236 () (not @t52))
% 4.52/4.71  (define @t237 () (or @t236 @t235))
% 4.52/4.71  (define @t238 () (@list false false))
% 4.52/4.71  (define @t239 () (@list false))
% 4.52/4.71  (define @t240 () (tptp.aElementOf0 @t18 @t218))
% 4.52/4.71  (define @t241 () (not @t240))
% 4.52/4.71  (define @t242 () (forall @t21 (or @t241 (tptp.aElementOf0 @t18 @t138))))
% 4.52/4.71  (define @t243 () (tptp.aSet0 @t218))
% 4.52/4.71  (define @t244 () (and @t243 @t242))
% 4.52/4.71  (define @t245 () (tptp.aSubsetOf0 @t218 @t138))
% 4.52/4.71  (define @t246 () (= @t245 @t244))
% 4.52/4.71  (define @t247 () (not @t234))
% 4.52/4.71  (define @t248 () (or @t247 @t246))
% 4.52/4.71  (define @t249 () (@var "BOUND_VARIABLE_9871" $$unsorted))
% 4.52/4.71  (define @t250 () (or (not (tptp.aElementOf0 @t249 @t127)) (tptp.aElementOf0 @t249 @t142)))
% 4.52/4.71  (define @t251 () (and @t250 @t143))
% 4.52/4.71  (define @t252 () (not @t62))
% 4.52/4.71  (define @t253 () (not @t56))
% 4.52/4.71  (define @t254 () (or @t214 @t253 @t252 @t251))
% 4.52/4.71  (define @t255 () (@list @t249))
% 4.52/4.71  (define @t256 () (forall @t255 @t254))
% 4.52/4.71  (define @t257 () (forall @t255 @t143))
% 4.52/4.71  (define @t258 () (forall @t255 @t250))
% 4.52/4.71  (define @t259 () (@list @t18))
% 4.52/4.71  (define @t260 () (and @t258 @t257))
% 4.52/4.71  (define @t261 () (forall @t255 @t251))
% 4.52/4.71  (define @t262 () (or @t214 @t253 @t252 @t261))
% 4.52/4.71  (define @t263 () (and (forall @t21 (or @t210 @t144)) @t143))
% 4.52/4.71  (define @t264 () (or @t214 @t253 @t252 @t263))
% 4.52/4.71  (define @t265 () (=> @t62 @t263))
% 4.52/4.71  (define @t266 () (tptp.szmzizndt0 @t218))
% 4.52/4.71  (define @t267 () (not (= @t204 tptp.xk)))
% 4.52/4.71  (define @t268 () (or @t214 @t213 @t212 @t209 @t208 @t207 @t206 @t205 @t267 @t203 @t202 @t201 @t199 @t197))
% 4.52/4.71  (define @t269 () (or @t207 @t206 @t205 @t267 @t203 @t202 @t201 @t199 @t197))
% 4.52/4.71  (define @t270 () (or @t214 @t213 @t212 @t209 @t208 @t269))
% 4.52/4.71  (define @t271 () (forall @t215 @t270))
% 4.52/4.71  (define @t272 () (@list @t195 @t198))
% 4.52/4.71  (define @t273 () (forall @t272 @t270))
% 4.52/4.71  (define @t274 () (forall @t272 @t269))
% 4.52/4.71  (define @t275 () (@var "BOUND_VARIABLE_9954" $$unsorted))
% 4.52/4.71  (define @t276 () (or @t214 @t213 @t212 @t209 @t208 @t274))
% 4.52/4.71  (define @t277 () (= tptp.xK @t156))
% 4.52/4.71  (define @t278 () (tptp.aElementOf0 @t275 tptp.xS))
% 4.52/4.71  (define @t279 () (not (tptp.aElementOf0 @t275 @t154)))
% 4.52/4.71  (define @t280 () (or @t157 @t279 @t278))
% 4.52/4.71  (define @t281 () (not @t166))
% 4.52/4.71  (define @t282 () (not @t167))
% 4.52/4.71  (define @t283 () (not @t172))
% 4.52/4.71  (define @t284 () (not @t173))
% 4.52/4.71  (define @t285 () (not @t174))
% 4.52/4.71  (define @t286 () (forall @t21 (or @t193 @t175)))
% 4.52/4.71  (define @t287 () (not @t286))
% 4.52/4.71  (define @t288 () (not @t23))
% 4.52/4.71  (define @t289 () (@list @t5 @t275))
% 4.52/4.71  (define @t290 () (forall @t289 (or @t288 @t287 @t285 @t284 @t283 @t282 @t281 (and @t280 @t277) @t155)))
% 4.52/4.71  (define @t291 () (or @t214 @t213 @t212 @t209 @t208 @t290))
% 4.52/4.71  (define @t292 () (or @t213 @t212 @t209 @t208 @t290))
% 4.52/4.71  (define @t293 () (or @t279 @t278))
% 4.52/4.71  (define @t294 () (or @t293 @t157))
% 4.52/4.71  (define @t295 () (and @t294 @t277))
% 4.52/4.71  (define @t296 () (or @t288 @t287 @t285 @t284 @t283 @t282 @t281 @t295 @t155))
% 4.52/4.71  (define @t297 () (forall @t289 @t296))
% 4.52/4.71  (define @t298 () (@list @t275))
% 4.52/4.71  (define @t299 () (forall @t298 @t296))
% 4.52/4.71  (define @t300 () (forall @t298 @t277))
% 4.52/4.71  (define @t301 () (forall @t298 @t293))
% 4.52/4.71  (define @t302 () (or @t301 @t157))
% 4.52/4.71  (define @t303 () (forall @t298 @t294))
% 4.52/4.71  (define @t304 () (and @t303 @t300))
% 4.52/4.71  (define @t305 () (forall @t298 @t295))
% 4.52/4.71  (define @t306 () (or @t288 @t287 @t285 @t284 @t283 @t282 @t281 @t305 @t155))
% 4.52/4.71  (define @t307 () (and (or (forall @t21 (or (not @t159) @t158)) @t157) @t277))
% 4.52/4.71  (define @t308 () (or @t288 @t287 @t285 @t284 @t283 @t282 @t281 @t307 @t155))
% 4.52/4.71  (define @t309 () (forall @t8 @t308))
% 4.52/4.71  (define @t310 () (or @t213 @t212 @t209 @t208 @t309))
% 4.52/4.71  (define @t311 () (or @t213 @t212 @t209 @t208 @t308))
% 4.52/4.71  (define @t312 () (or @t288 @t213 @t212 @t209 @t208 @t287 @t285 @t284 @t283 @t282 @t281 @t307 @t155))
% 4.52/4.71  (define @t313 () (or @t213 @t212 @t282 @t281 @t307 @t155))
% 4.52/4.71  (define @t314 () (or @t288 @t213 @t212 @t209 @t208 @t287 @t285 @t284 @t283))
% 4.52/4.71  (define @t315 () (or @t282 @t281 @t307 @t155))
% 4.52/4.71  (define @t316 () (or @t307 @t155))
% 4.52/4.71  (define @t317 () (=> @t168 @t316))
% 4.52/4.71  (define @t318 () (and @t133 @t211))
% 4.52/4.71  (define @t319 () (=> @t318 @t317))
% 4.52/4.71  (define @t320 () (and @t23 @t133 @t211 @t132 @t177 @t286 @t174 @t173 @t172))
% 4.52/4.71  (define @t321 () (tptp.aElementOf0 @t217 tptp.szNzAzT0))
% 4.52/4.71  (define @t322 () (@quantifiers_skolemize @t216 1))
% 4.52/4.71  (define @t323 () (tptp.sdtpldt0 @t322 @t266))
% 4.52/4.71  (define @t324 () (tptp.sbrdtbr0 @t323))
% 4.52/4.71  (define @t325 () (= tptp.xK @t324))
% 4.52/4.71  (define @t326 () (@quantifiers_skolemize @t216 2))
% 4.52/4.71  (define @t327 () (tptp.aSubsetOf0 @t323 tptp.xS))
% 4.52/4.71  (define @t328 () (or @t327 (not (tptp.aElementOf0 @t326 @t323)) (tptp.aElementOf0 @t326 tptp.xS)))
% 4.52/4.71  (define @t329 () (and @t328 @t325))
% 4.52/4.71  (define @t330 () (= @t18 @t266))
% 4.52/4.71  (define @t331 () (tptp.aElementOf0 @t18 @t322))
% 4.52/4.71  (define @t332 () (tptp.aElementOf0 @t18 @t323))
% 4.52/4.71  (define @t333 () (forall @t21 (= @t332 (and @t165 (or @t331 @t330)))))
% 4.52/4.71  (define @t334 () (not @t333))
% 4.52/4.71  (define @t335 () (tptp.aSet0 @t323))
% 4.52/4.71  (define @t336 () (not @t335))
% 4.52/4.71  (define @t337 () (tptp.sdtmndt0 @t218 @t266))
% 4.52/4.71  (define @t338 () (tptp.sbrdtbr0 @t322))
% 4.52/4.71  (define @t339 () (= tptp.xk @t338))
% 4.52/4.71  (define @t340 () (not @t339))
% 4.52/4.71  (define @t341 () (tptp.aElementOf0 @t18 @t337))
% 4.52/4.71  (define @t342 () (forall @t21 (or (not @t331) @t341)))
% 4.52/4.71  (define @t343 () (not @t342))
% 4.52/4.71  (define @t344 () (tptp.aSet0 @t322))
% 4.52/4.71  (define @t345 () (not @t344))
% 4.52/4.71  (define @t346 () (forall @t21 (= @t341 (and @t165 @t240 (not @t330)))))
% 4.52/4.71  (define @t347 () (not @t346))
% 4.52/4.71  (define @t348 () (tptp.aElementOf0 @t266 @t218))
% 4.52/4.71  (define @t349 () (not @t348))
% 4.52/4.71  (define @t350 () (not @t321))
% 4.52/4.71  (define @t351 () (or @t350 @t349 (not (forall @t21 (or @t241 (tptp.sdtlseqdt0 @t266 @t18)))) (not (tptp.aSet0 @t337)) @t347 @t345 @t343 (not (tptp.aSubsetOf0 @t322 @t337)) @t340 (not (tptp.aElementOf0 @t322 (tptp.slbdtsldtrb0 @t337 tptp.xk))) @t336 @t334 @t329 (tptp.aElementOf0 @t323 @t109)))
% 4.52/4.71  (define @t352 () (@list true))
% 4.52/4.71  (define @t353 () (@list @t351))
% 4.52/4.71  (define @t354 () (tptp.sdtlseqdt0 tptp.sz00 @t217))
% 4.52/4.71  (define @t355 () (or @t350 @t354))
% 4.52/4.71  (define @t356 () (tptp.aElementOf0 @t266 @t138))
% 4.52/4.71  (define @t357 () (or @t349 @t356))
% 4.52/4.71  (define @t358 () (and @t357 @t245))
% 4.52/4.71  (define @t359 () (not @t354))
% 4.52/4.71  (define @t360 () (or @t350 @t236 @t359 @t358))
% 4.52/4.71  (define @t361 () (not @t358))
% 4.52/4.71  (define @t362 () (@list @t358))
% 4.52/4.71  (define @t363 () (forall @t21 (or (not @t332) @t158)))
% 4.52/4.71  (define @t364 () (@quantifiers_skolemize @t363 0))
% 4.52/4.71  (define @t365 () (@list @t364))
% 4.52/4.71  (define @t366 () (and @t335 @t363))
% 4.52/4.71  (define @t367 () (= @t327 @t366))
% 4.52/4.71  (define @t368 () (not @t105))
% 4.52/4.71  (define @t369 () (or @t368 @t367))
% 4.52/4.71  (define @t370 () (@var "BOUND_VARIABLE_8598" $$unsorted))
% 4.52/4.71  (define @t371 () (tptp.sbrdtbr0 (tptp.sdtpldt0 @t1 @t370)))
% 4.52/4.71  (define @t372 () (tptp.aElementOf0 @t370 @t1))
% 4.52/4.71  (define @t373 () (not (tptp.aElement0 @t370)))
% 4.52/4.71  (define @t374 () (= @t371 @t69))
% 4.52/4.71  (define @t375 () (or @t186 @t15 @t373 @t372 @t374))
% 4.52/4.71  (define @t376 () (or @t373 @t372 @t374))
% 4.52/4.71  (define @t377 () (or @t186 @t15 @t376))
% 4.52/4.71  (define @t378 () (@list @t1 @t370))
% 4.52/4.71  (define @t379 () (forall @t378 @t377))
% 4.52/4.71  (define @t380 () (@list @t370))
% 4.52/4.71  (define @t381 () (forall @t380 @t377))
% 4.52/4.71  (define @t382 () (forall @t380 @t376))
% 4.52/4.71  (define @t383 () (or @t186 @t15 @t382))
% 4.52/4.71  (define @t384 () (not @t6))
% 4.52/4.71  (define @t385 () (or @t384 @t7 @t70))
% 4.52/4.71  (define @t386 () (forall @t8 @t385))
% 4.52/4.71  (define @t387 () (or @t186 @t15 @t386))
% 4.52/4.71  (define @t388 () (tptp.szszuzczcdt0 @t338))
% 4.52/4.71  (define @t389 () (tptp.aElementOf0 @t266 @t322))
% 4.52/4.71  (define @t390 () (tptp.aElement0 @t266))
% 4.52/4.71  (define @t391 () (not @t390))
% 4.52/4.71  (define @t392 () (tptp.isFinite0 @t322))
% 4.52/4.71  (define @t393 () (not @t392))
% 4.52/4.71  (define @t394 () (or @t345 @t393 @t391 @t389 (= @t388 @t324)))
% 4.52/4.71  (define @t395 () (forall @t378 (or @t186 @t15 @t373 @t372 (= @t69 @t371))))
% 4.52/4.71  (define @t396 () (= @t324 @t388))
% 4.52/4.71  (define @t397 () (or @t345 @t393 @t391 @t389 @t396))
% 4.52/4.71  (define @t398 () (@list @t266))
% 4.52/4.71  (define @t399 () (tptp.aElementOf0 @t266 @t337))
% 4.52/4.71  (define @t400 () (not (= @t266 @t266)))
% 4.52/4.71  (define @t401 () (and @t390 @t348 @t400))
% 4.52/4.71  (define @t402 () (= @t399 @t401))
% 4.52/4.71  (define @t403 () (@list @t346))
% 4.52/4.71  (define @t404 () (not @t389))
% 4.52/4.71  (define @t405 () (or @t404 @t399))
% 4.52/4.71  (define @t406 () (@list true false))
% 4.52/4.71  (define @t407 () (@var "BOUND_VARIABLE_8201" $$unsorted))
% 4.52/4.71  (define @t408 () (tptp.aElement0 @t407))
% 4.52/4.71  (define @t409 () (not (tptp.aElementOf0 @t407 @t1)))
% 4.52/4.71  (define @t410 () (or @t409 @t408))
% 4.52/4.71  (define @t411 () (or @t186 @t410))
% 4.52/4.71  (define @t412 () (forall (@list @t1 @t407) @t411))
% 4.52/4.71  (define @t413 () (@list @t407))
% 4.52/4.71  (define @t414 () (forall @t413 @t411))
% 4.52/4.71  (define @t415 () (forall @t413 @t410))
% 4.52/4.71  (define @t416 () (or @t186 @t415))
% 4.52/4.71  (define @t417 () (forall @t8 (or @t71 @t6)))
% 4.52/4.71  (define @t418 () (and @t243 (or @t349 (tptp.aElementOf0 @t266 tptp.szNzAzT0)) (tptp.aSubsetOf0 @t218 tptp.szNzAzT0) (tptp.isCountable0 @t218)))
% 4.52/4.71  (define @t419 () (or @t350 @t418))
% 4.52/4.71  (define @t420 () (not @t243))
% 4.52/4.71  (define @t421 () (or @t420 @t349 @t390))
% 4.52/4.71  (define @t422 () (= @t12 @t66))
% 4.52/4.71  (define @t423 () (tptp.aElementOf0 @t338 tptp.szNzAzT0))
% 4.52/4.71  (define @t424 () (= @t392 @t423))
% 4.52/4.71  (define @t425 () (or @t345 @t424))
% 4.52/4.71  (define @t426 () (not @t366))
% 4.52/4.71  (define @t427 () (not @t363))
% 4.52/4.71  (define @t428 () (@list false true))
% 4.52/4.71  (define @t429 () (tptp.aElementOf0 @t364 tptp.xS))
% 4.52/4.71  (define @t430 () (tptp.aElementOf0 @t364 @t323))
% 4.52/4.71  (define @t431 () (not @t430))
% 4.52/4.71  (define @t432 () (or @t431 @t429))
% 4.52/4.71  (define @t433 () (not @t429))
% 4.52/4.71  (define @t434 () (@list @t432))
% 4.52/4.71  (define @t435 () (tptp.aElementOf0 @t364 @t138))
% 4.52/4.71  (define @t436 () (tptp.aElementOf0 @t364 @t218))
% 4.52/4.71  (define @t437 () (not @t436))
% 4.52/4.71  (define @t438 () (or @t437 @t435))
% 4.52/4.71  (define @t439 () (= @t364 @t266))
% 4.52/4.71  (define @t440 () (not @t439))
% 4.52/4.71  (define @t441 () (tptp.aElement0 @t364))
% 4.52/4.71  (define @t442 () (and @t441 @t436 @t440))
% 4.52/4.71  (define @t443 () (tptp.aElementOf0 @t364 @t337))
% 4.52/4.71  (define @t444 () (= @t443 @t442))
% 4.52/4.71  (define @t445 () (= @t266 @t364))
% 4.52/4.71  (define @t446 () (not @t445))
% 4.52/4.71  (define @t447 () (and @t441 @t436 @t446))
% 4.52/4.71  (define @t448 () (= @t443 @t447))
% 4.52/4.71  (define @t449 () (tptp.aElementOf0 @t364 @t322))
% 4.52/4.71  (define @t450 () (or @t449 @t439))
% 4.52/4.71  (define @t451 () (and @t441 @t450))
% 4.52/4.71  (define @t452 () (= @t430 @t451))
% 4.52/4.71  (define @t453 () (or @t449 @t445))
% 4.52/4.71  (define @t454 () (and @t441 @t453))
% 4.52/4.71  (define @t455 () (= @t430 @t454))
% 4.52/4.71  (define @t456 () (not @t356))
% 4.52/4.71  (define @t457 () (= tptp.xS @t138))
% 4.52/4.71  (define @t458 () (not @t457))
% 4.52/4.71  (define @t459 () (and @t356 @t445 @t457 @t433))
% 4.52/4.71  (define @t460 () (not @t449))
% 4.52/4.71  (define @t461 () (or @t460 @t443))
% 4.52/4.71  (assume @p1 (forall @t3 (=> @t2 true)))
% 4.52/4.71  (assume @p2 (forall @t3 (=> @t4 true)))
% 4.52/4.71  (assume @p3 @t11)
% 4.52/4.71  (assume @p4 (forall @t3 (=> @t2 (=> @t12 true))))
% 4.52/4.71  (assume @p5 (forall @t3 (= @t13 (and @t2 (not (exists @t8 @t7))))))
% 4.52/4.71  (assume @p6 (tptp.isFinite0 tptp.slcrc0))
% 4.52/4.71  (assume @p7 (forall @t3 (=> @t2 (=> @t14 true))))
% 4.52/4.71  (assume @p8 (forall @t3 (=> @t16 @t15)))
% 4.52/4.71  (assume @p9 (forall @t3 (=> @t16 @t17)))
% 4.52/4.71  (assume @p10 @t29)
% 4.52/4.71  (assume @p11 (forall @t3 (=> @t31 (forall @t8 (=> @t25 @t30)))))
% 4.52/4.71  (assume @p12 (forall @t3 (=> @t2 (tptp.aSubsetOf0 @t1 @t1))))
% 4.52/4.71  (assume @p13 (forall @t34 (=> (and @t2 @t23) (=> (and @t33 @t25) @t32))))
% 4.52/4.71  (assume @p14 (forall @t37 (=> (and @t2 @t23 @t36) (=> (and @t33 @t35) (tptp.aSubsetOf0 @t1 @t18)))))
% 4.52/4.71  (assume @p15 (forall @t34 (=> @t45 (forall @t21 (= (= @t18 @t44) (and @t36 (forall @t43 (= @t42 (and @t41 (or @t40 @t39))))))))))
% 4.52/4.71  (assume @p16 (forall @t34 (=> @t45 (forall @t21 (= (= @t18 @t46) (and @t36 (forall @t43 (= @t42 (and @t41 @t40 (not @t39))))))))))
% 4.52/4.71  (assume @p17 (forall @t3 (=> @t2 (forall @t8 (=> @t7 (= (tptp.sdtpldt0 @t46 @t5) @t1))))))
% 4.52/4.71  (assume @p18 (forall @t34 (=> (and @t4 @t23) (=> (not (tptp.aElementOf0 @t1 @t5)) (= (tptp.sdtmndt0 @t47 @t1) @t5)))))
% 4.52/4.71  (assume @p19 (forall @t3 (=> @t4 (forall @t8 (=> @t49 (tptp.isCountable0 @t47))))))
% 4.52/4.71  (assume @p20 (forall @t3 (=> @t4 (forall @t8 (=> @t49 (tptp.isCountable0 @t50))))))
% 4.52/4.71  (assume @p21 (forall @t3 (=> @t4 (forall @t8 (=> @t51 (tptp.isFinite0 @t47))))))
% 4.52/4.71  (assume @p22 (forall @t3 (=> @t4 (forall @t8 (=> @t51 (tptp.isFinite0 @t50))))))
% 4.52/4.71  (assume @p23 (and (tptp.aSet0 tptp.szNzAzT0) (tptp.isCountable0 tptp.szNzAzT0)))
% 4.52/4.71  (assume @p24 @t52)
% 4.52/4.71  (assume @p25 (forall @t3 (=> @t54 (and (tptp.aElementOf0 @t53 tptp.szNzAzT0) (not (= @t53 tptp.sz00))))))
% 4.52/4.71  (assume @p26 (forall @t34 (=> @t57 (=> (= @t53 @t55) @t32))))
% 4.52/4.71  (assume @p27 (forall @t3 (=> @t54 (or @t58 (exists @t8 (and @t56 (= @t1 @t55)))))))
% 4.52/4.71  (assume @p28 (forall @t3 (=> @t54 (not (= @t1 @t53)))))
% 4.52/4.71  (assume @p29 (forall @t34 (=> @t57 (=> @t59 true))))
% 4.52/4.71  (assume @p30 @t61)
% 4.52/4.71  (assume @p31 (forall @t3 (=> @t54 (not (tptp.sdtlseqdt0 @t53 tptp.sz00)))))
% 4.52/4.71  (assume @p32 (forall @t34 (=> @t57 (= @t59 (tptp.sdtlseqdt0 @t53 @t55)))))
% 4.52/4.71  (assume @p33 (forall @t3 (=> @t54 (tptp.sdtlseqdt0 @t1 @t53))))
% 4.52/4.71  (assume @p34 (forall @t3 (=> @t54 (tptp.sdtlseqdt0 @t1 @t1))))
% 4.52/4.71  (assume @p35 (forall @t34 (=> @t57 (=> (and @t59 @t62) @t32))))
% 4.52/4.71  (assume @p36 (forall @t37 (=> (and @t54 @t56 @t64) (=> (and @t59 @t63) (tptp.sdtlseqdt0 @t1 @t18)))))
% 4.52/4.71  (assume @p37 (forall @t34 (=> @t57 (or @t59 (tptp.sdtlseqdt0 @t55 @t1)))))
% 4.52/4.71  (assume @p38 (forall @t34 (=> @t57 (=> (tptp.iLess0 @t1 @t5) true))))
% 4.52/4.71  (assume @p39 (forall @t3 (=> @t54 (tptp.iLess0 @t1 @t53))))
% 4.52/4.71  (assume @p40 (forall @t3 (=> @t2 (tptp.aElement0 @t65))))
% 4.52/4.71  (assume @p41 @t68)
% 4.52/4.71  (assume @p42 (forall @t3 (=> @t2 (= (= @t65 tptp.sz00) @t13))))
% 4.52/4.71  (assume @p43 @t75)
% 4.52/4.71  (assume @p44 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t7) (= (tptp.szszuzczcdt0 (tptp.sbrdtbr0 @t46)) @t65))))))
% 4.52/4.71  (assume @p45 (forall @t3 (=> @t2 (forall @t8 (=> (and @t12 @t25) (tptp.sdtlseqdt0 @t76 @t65))))))
% 4.52/4.71  (assume @p46 (forall @t34 (=> @t77 (=> (and @t12 (tptp.sdtlseqdt0 @t5 @t65)) (exists @t21 (and (tptp.aSubsetOf0 @t18 @t1) (= (tptp.sbrdtbr0 @t18) @t5)))))))
% 4.52/4.71  (assume @p47 (forall @t3 (=> (and @t79 @t17) (forall @t8 (= (= @t5 @t78) (and @t7 (forall @t21 (=> @t19 @t63))))))))
% 4.52/4.71  (assume @p48 (forall @t3 (=> (and @t79 @t12 @t17) (forall @t8 (= (= @t5 (tptp.szmzazxdt0 @t1)) (and @t7 (forall @t21 (=> @t19 (tptp.sdtlseqdt0 @t18 @t5)))))))))
% 4.52/4.71  (assume @p49 (forall @t34 (=> (and @t79 @t81 @t17 (not (= @t5 tptp.slcrc0))) (=> (and (tptp.aElementOf0 @t78 @t5) (tptp.aElementOf0 @t80 @t1)) (= @t78 @t80)))))
% 4.52/4.71  (assume @p50 (forall @t3 (=> @t54 (forall @t8 (= (= @t5 @t82) (and @t23 (forall @t21 (= @t20 (and @t64 (tptp.sdtlseqdt0 (tptp.szszuzczcdt0 @t18) @t1))))))))))
% 4.52/4.71  (assume @p51 (forall @t3 (=> @t54 (tptp.isFinite0 @t82))))
% 4.52/4.71  (assume @p52 (= (tptp.slbdtrb0 tptp.sz00) tptp.slcrc0))
% 4.52/4.71  (assume @p53 (forall @t34 (=> @t57 (= (tptp.aElementOf0 @t1 (tptp.slbdtrb0 @t55)) (or (tptp.aElementOf0 @t1 @t83) @t32)))))
% 4.52/4.71  (assume @p54 (forall @t34 (=> @t57 (= @t59 (tptp.aSubsetOf0 @t82 @t83)))))
% 4.52/4.71  (assume @p55 (forall @t3 (=> (and @t79 @t12) (exists @t8 (and @t56 (tptp.aSubsetOf0 @t1 @t83))))))
% 4.52/4.71  (assume @p56 (forall @t3 (=> @t54 (= (tptp.sbrdtbr0 @t82) @t1))))
% 4.52/4.71  (assume @p57 (forall @t34 (=> @t77 (forall @t21 (= (= @t18 @t86) (and @t36 (forall @t43 (= @t42 (and @t85 (= @t84 @t5))))))))))
% 4.52/4.71  (assume @p58 (forall @t3 (=> @t31 (forall @t8 (=> @t56 (tptp.isFinite0 @t86))))))
% 4.52/4.71  (assume @p59 (forall @t3 (=> (and @t2 @t15) (forall @t8 (=> @t56 (not (= @t86 tptp.slcrc0)))))))
% 4.52/4.71  (assume @p60 (forall @t3 (=> @t16 (forall @t8 (=> (and @t56 (not (= @t5 tptp.sz00))) (tptp.isCountable0 @t86))))))
% 4.52/4.71  (assume @p61 (forall @t3 (=> @t54 (forall (@list @t5 @t18) (=> (and @t23 @t36 (not @t58)) (=> (and (tptp.aSubsetOf0 @t87 (tptp.slbdtsldtrb0 @t18 @t1)) (not (= @t87 tptp.slcrc0))) @t35))))))
% 4.52/4.71  (assume @p62 (forall @t34 (=> @t77 (forall @t21 (=> (and (tptp.aSubsetOf0 @t18 @t86) (tptp.isFinite0 @t18)) (exists @t43 (and @t85 (tptp.isFinite0 @t38) (tptp.aSubsetOf0 @t18 (tptp.slbdtsldtrb0 @t38 @t5)))))))))
% 4.52/4.71  (assume @p63 (forall @t3 (=> @t88 true)))
% 4.52/4.71  (assume @p64 (forall @t3 (=> @t88 (tptp.aSet0 @t89))))
% 4.52/4.71  (assume @p65 (forall @t3 (=> @t88 (forall @t8 (=> @t91 (tptp.aElement0 @t90))))))
% 4.52/4.71  (assume @p66 (forall @t34 (=> @t95 (forall @t21 (= (= @t18 @t94) (and @t36 (forall @t43 (= @t42 (and @t93 (= @t92 @t5))))))))))
% 4.52/4.71  (assume @p67 (forall @t34 (=> @t95 (tptp.aSubsetOf0 @t94 @t89))))
% 4.52/4.71  (assume @p68 (forall @t3 (=> @t88 (forall @t8 (=> @t100 (forall @t21 (= (= @t18 @t99) (and @t36 (forall @t43 (= @t42 (exists @t98 (and @t97 (= (tptp.sdtlpdtrp0 @t1 @t96) @t38)))))))))))))
% 4.52/4.71  (assume @p69 (forall @t3 (=> @t88 (forall @t8 (=> @t91 (tptp.aElementOf0 @t90 @t101))))))
% 4.52/4.71  (assume @p70 (forall @t3 (=> @t88 (forall @t8 (=> @t100 (forall @t21 (= (= @t18 (tptp.sdtexdt0 @t1 @t5)) (and @t103 (= @t102 @t5) (forall @t43 (=> (tptp.aElementOf0 @t38 @t5) (= (tptp.sdtlpdtrp0 @t18 @t38) @t92)))))))))))
% 4.52/4.71  (assume @p71 (forall @t3 (=> @t88 (forall @t8 (=> (and @t100 @t48) (=> (forall (@list @t18 @t38) (=> (and (tptp.aElementOf0 @t18 @t89) @t93 (not (= @t18 @t38))) (not (= (tptp.sdtlpdtrp0 @t1 @t18) @t92)))) (tptp.isCountable0 @t99)))))))
% 4.52/4.71  (assume @p72 (forall @t3 (=> @t88 (=> (and (tptp.isCountable0 @t89) (tptp.isFinite0 @t101)) (and (tptp.aElement0 @t104) (tptp.isCountable0 (tptp.sdtlbdtrb0 @t1 @t104)))))))
% 4.52/4.71  (assume @p73 (and (tptp.aSet0 tptp.xT) (tptp.isFinite0 tptp.xT)))
% 4.52/4.71  (assume @p74 (tptp.aElementOf0 tptp.xK tptp.szNzAzT0))
% 4.52/4.71  (assume @p75 (and @t105 (forall @t3 (=> (tptp.aElementOf0 @t1 tptp.xS) @t54)) (tptp.aSubsetOf0 tptp.xS tptp.szNzAzT0) (tptp.isCountable0 tptp.xS)))
% 4.52/4.71  (assume @p76 (and (tptp.aFunction0 tptp.xc) (forall @t3 (and (=> @t110 (and @t2 @t113 @t112 @t111)) (=> (and (or (and @t2 @t113) @t112) @t111) @t110))) (= @t106 @t109) (tptp.aSet0 @t107) (forall @t3 (= @t108 (exists @t8 (and (tptp.aElementOf0 @t5 @t106) (= (tptp.sdtlpdtrp0 tptp.xc @t5) @t1))))) (forall @t3 (=> @t108 (tptp.aElementOf0 @t1 tptp.xT))) (tptp.aSubsetOf0 @t107 tptp.xT)))
% 4.52/4.71  (assume @p77 (forall @t3 (=> @t54 (forall @t8 (=> (and (or (and @t23 (forall @t21 (=> @t20 @t64))) @t81) @t48) (forall @t21 (=> (and @t103 (or (forall @t43 (and (=> @t120 (and (or (and @t124 @t123) @t122) @t121)) (=> (and @t124 @t123 @t122 @t121) @t120))) (= @t102 @t87)) (=> (and (tptp.aSet0 @t118) (forall @t43 (= @t119 (exists @t98 (and (tptp.aElementOf0 @t96 @t102) (= (tptp.sdtlpdtrp0 @t18 @t96) @t38)))))) (or (forall @t43 (=> @t119 @t117)) (tptp.aSubsetOf0 @t118 tptp.xT)))) (=> (tptp.iLess0 @t1 tptp.xK) (exists @t43 (and @t117 (exists @t98 (and (tptp.aSet0 @t96) (forall @t116 (=> (tptp.aElementOf0 @t114 @t96) (tptp.aElementOf0 @t114 @t5))) (tptp.aSubsetOf0 @t96 @t5) (tptp.isCountable0 @t96) (forall @t116 (=> (or (and (or (and (tptp.aSet0 @t114) (forall (@list @t115) (=> (tptp.aElementOf0 @t115 @t114) (tptp.aElementOf0 @t115 @t96)))) (tptp.aSubsetOf0 @t114 @t96)) (= (tptp.sbrdtbr0 @t114) @t1)) (tptp.aElementOf0 @t114 (tptp.slbdtsldtrb0 @t96 @t1))) (= (tptp.sdtlpdtrp0 @t18 @t114) @t38)))))))))))))))
% 4.52/4.71  (assume @p78 (not (= tptp.xK tptp.sz00)))
% 4.52/4.71  (assume @p79 (and (tptp.aElementOf0 tptp.xk tptp.szNzAzT0) (= @t125 tptp.xK)))
% 4.52/4.71  (assume @p80 (and (tptp.aFunction0 tptp.xN) (= (tptp.szDzozmdt0 tptp.xN) tptp.szNzAzT0) (= @t138 tptp.xS) (forall @t3 (=> @t54 (=> (and (or (and @t137 @t136) @t135) @t134) (and @t133 (forall @t8 (=> @t131 (tptp.sdtlseqdt0 @t128 @t5))) @t132 (forall @t8 (= @t130 (and @t6 @t131 (not (= @t5 @t128))))) (tptp.aSet0 @t126) (forall @t8 (=> (tptp.aElementOf0 @t5 @t126) @t130)) (tptp.aSubsetOf0 @t126 @t129) (tptp.isCountable0 @t126)))))))
% 4.52/4.71  (assume @p81 @t141)
% 4.52/4.71  (assume @p82 @t150)
% 4.52/4.71  (assume @p83 (forall @t34 (=> (and @t54 @t56 (not @t32)) (not (=> @t153 (or (and (tptp.aElementOf0 @t128 @t142) (forall @t21 (=> @t144 @t151))) (= @t128 (tptp.szmzizndt0 @t142))))))))
% 4.52/4.71  (assume @p84 @t183)
% 4.52/4.71  (assume @p85 true)
% 4.52/4.71  (step @p86 :rule quant-merge-prenex :args ((= (forall @t3 @t189) (forall (@list @t1 @t184) @t187))))
% 4.52/4.71  (step @p87 :rule alpha_equiv :args (@t190 (@list @t184) @t191))
% 4.52/4.71  (step @p88 :rule refl :args (@t186))
% 4.52/4.71  (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t192))
% 4.52/4.71  (step @p90 :rule quant-miniscope-or :args ((= @t189 @t192)))
% 4.52/4.71  (step @p91 :rule trans :premises (@p90 @p89))
% 4.52/4.71  (step @p92 :rule symm :premises (@p91))
% 4.52/4.71  (step @p93 :rule cong :premises (@p92) :args ((forall @t3 (or @t186 @t194))))
% 4.52/4.71  (step @p94 :rule trans :premises (@p93 @p86))
% 4.52/4.71  (step @p95 :rule bool-impl-elim :args (@t2 @t194))
% 4.52/4.71  (step @p96 :rule cong :premises (@p95) :args ((forall @t3 (=> @t2 @t194))))
% 4.52/4.71  (step @p97 :rule trans :premises (@p96 @p94))
% 4.52/4.71  (step @p98 :rule bool-impl-elim :args (@t20 @t19))
% 4.52/4.71  (step @p99 :rule cong :premises (@p98) :args (@t22))
% 4.52/4.71  (step @p100 :rule refl :args (@t23))
% 4.52/4.71  (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t24))
% 4.52/4.71  (step @p102 :rule refl :args (@t25))
% 4.52/4.71  (step @p103 :rule cong :premises (@p102 @p101) :args (@t26))
% 4.52/4.71  (step @p104 :rule cong :premises (@p103) :args (@t27))
% 4.52/4.71  (step @p105 :rule refl :args (@t2))
% 4.52/4.71  (step @p106 :rule cong :premises (@p105 @p104) :args (@t28))
% 4.52/4.71  (step @p107 :rule cong :premises (@p106) :args (@t29))
% 4.52/4.71  (step @p108 :rule trans :premises (@p107 @p97))
% 4.52/4.71  (step @p109 :rule eq_resolve :premises (@p10 @p108))
% 4.52/4.71  (step @p110 :rule instantiate :premises (@p109) :args ((@list @t138 @t218)))
% 4.52/4.71  (step @p111 :rule quant-merge-prenex :args ((= (forall @t3 @t224) (forall (@list @t1 @t219) @t222))))
% 4.52/4.71  (step @p112 :rule quant-unused-vars :args ((= @t225 @t134)))
% 4.52/4.71  (step @p113 :rule quant-unused-vars :args ((= @t226 @t135)))
% 4.52/4.71  (step @p114 :rule alpha_equiv :args (@t227 (@list @t219) @t191))
% 4.52/4.71  (step @p115 :rule quant-unused-vars :args ((= @t228 @t137)))
% 4.52/4.71  (step @p116 :rule nary_cong :premises (@p115 @p114 @p113 @p112) :args (@t229))
% 4.52/4.71  (step @p117 :rule quant-miniscope-and :args ((= @t230 @t229)))
% 4.52/4.71  (step @p118 :rule trans :premises (@p117 @p116))
% 4.52/4.71  (step @p119 :rule refl :args (@t214))
% 4.52/4.71  (step @p120 :rule nary_cong :premises (@p119 @p118) :args (@t231))
% 4.52/4.71  (step @p121 :rule quant-miniscope-or :args ((= @t224 @t231)))
% 4.52/4.71  (step @p122 :rule trans :premises (@p121 @p120))
% 4.52/4.71  (step @p123 :rule symm :premises (@p122))
% 4.52/4.71  (step @p124 :rule cong :premises (@p123) :args ((forall @t3 (or @t214 @t232))))
% 4.52/4.71  (step @p125 :rule trans :premises (@p124 @p111))
% 4.52/4.71  (step @p126 :rule bool-impl-elim :args (@t54 @t232))
% 4.52/4.71  (step @p127 :rule cong :premises (@p126) :args ((forall @t3 (=> @t54 @t232))))
% 4.52/4.71  (step @p128 :rule trans :premises (@p127 @p125))
% 4.52/4.71  (step @p129 :rule refl :args (@t134))
% 4.52/4.71  (step @p130 :rule refl :args (@t135))
% 4.52/4.71  (step @p131 :rule bool-impl-elim :args (@t131 @t56))
% 4.52/4.71  (step @p132 :rule cong :premises (@p131) :args (@t136))
% 4.52/4.71  (step @p133 :rule refl :args (@t137))
% 4.52/4.71  (step @p134 :rule nary_cong :premises (@p133 @p132 @p130 @p129) :args (@t139))
% 4.52/4.71  (step @p135 :rule refl :args (@t54))
% 4.52/4.71  (step @p136 :rule cong :premises (@p135 @p134) :args (@t140))
% 4.52/4.71  (step @p137 :rule cong :premises (@p136) :args (@t141))
% 4.52/4.71  (step @p138 :rule trans :premises (@p137 @p128))
% 4.52/4.71  (step @p139 :rule eq_resolve :premises (@p81 @p138))
% 4.52/4.71  (step @p140 :rule instantiate :premises (@p139) :args ((@list tptp.sz00 @t233)))
% 4.52/4.71  (step @p141 :rule cnf_or_pos :args (@t237))
% 4.52/4.71  (step @p142 :rule reordering :premises (@p141) :args ((or @t236 @t235 (not @t237))))
% 4.52/4.71  (step @p143 :rule chain_m_resolution :premises (@p142 @p24 @p140) :args (@t235 @t238 (@list @t52 @t237)))
% 4.52/4.71  (step @p144 :rule cnf_and_pos :args (@t235 0))
% 4.52/4.71  (step @p145 :rule reordering :premises (@p144) :args ((or @t234 (not @t235))))
% 4.52/4.71  (step @p146 :rule chain_m_resolution :premises (@p145 @p143) :args (@t234 @t239 (@list @t235)))
% 4.52/4.71  (step @p147 :rule cnf_or_pos :args (@t248))
% 4.52/4.71  (step @p148 :rule reordering :premises (@p147) :args ((or @t247 @t246 (not @t248))))
% 4.52/4.71  (step @p149 :rule chain_m_resolution :premises (@p148 @p146 @p110) :args (@t246 @t238 (@list @t234 @t248)))
% 4.52/4.71  (step @p150 :rule quant-merge-prenex :args ((= (forall @t34 @t256) (forall (@list @t1 @t5 @t249) @t254))))
% 4.52/4.71  (step @p151 :rule quant-unused-vars :args ((= @t257 @t143)))
% 4.52/4.71  (step @p152 :rule alpha_equiv :args (@t258 (@list @t249) @t259))
% 4.52/4.71  (step @p153 :rule nary_cong :premises (@p152 @p151) :args (@t260))
% 4.52/4.71  (step @p154 :rule quant-miniscope-and :args ((= @t261 @t260)))
% 4.52/4.71  (step @p155 :rule trans :premises (@p154 @p153))
% 4.52/4.71  (step @p156 :rule refl :args (@t252))
% 4.52/4.71  (step @p157 :rule refl :args (@t253))
% 4.52/4.71  (step @p158 :rule nary_cong :premises (@p119 @p157 @p156 @p155) :args (@t262))
% 4.52/4.71  (step @p159 :rule quant-miniscope-or :args ((= @t256 @t262)))
% 4.52/4.71  (step @p160 :rule trans :premises (@p159 @p158))
% 4.52/4.71  (step @p161 :rule symm :premises (@p160))
% 4.52/4.71  (step @p162 :rule cong :premises (@p161) :args ((forall @t34 @t264)))
% 4.52/4.71  (step @p163 :rule trans :premises (@p162 @p150))
% 4.52/4.71  (step @p164 :rule aci_norm :args ((= (or (or @t214 @t253) (or @t252 @t263)) @t264)))
% 4.52/4.71  (step @p165 :rule bool-impl-elim :args (@t62 @t263))
% 4.52/4.71  (step @p166 :rule bool-and-de-morgan :args (@t54 @t56 true))
% 4.52/4.71  (step @p167 :rule nary_cong :premises (@p166 @p165) :args ((or (not @t57) @t265)))
% 4.52/4.71  (step @p168 :rule trans :premises (@p167 @p164))
% 4.52/4.71  (step @p169 :rule bool-impl-elim :args (@t57 @t265))
% 4.52/4.71  (step @p170 :rule trans :premises (@p169 @p168))
% 4.52/4.71  (step @p171 :rule cong :premises (@p170) :args ((forall @t34 (=> @t57 @t265))))
% 4.52/4.71  (step @p172 :rule trans :premises (@p171 @p163))
% 4.52/4.71  (step @p173 :rule refl :args (@t143))
% 4.52/4.71  (step @p174 :rule bool-impl-elim :args (@t145 @t144))
% 4.52/4.71  (step @p175 :rule cong :premises (@p174) :args (@t146))
% 4.52/4.71  (step @p176 :rule nary_cong :premises (@p175 @p173) :args (@t147))
% 4.52/4.71  (step @p177 :rule refl :args (@t62))
% 4.52/4.71  (step @p178 :rule cong :premises (@p177 @p176) :args (@t148))
% 4.52/4.71  (step @p179 :rule refl :args (@t57))
% 4.52/4.71  (step @p180 :rule cong :premises (@p179 @p178) :args (@t149))
% 4.52/4.71  (step @p181 :rule cong :premises (@p180) :args (@t150))
% 4.52/4.71  (step @p182 :rule trans :premises (@p181 @p172))
% 4.52/4.71  (step @p183 :rule eq_resolve :premises (@p82 @p182))
% 4.52/4.71  (step @p184 :rule instantiate :premises (@p183) :args ((@list @t217 tptp.sz00 @t266)))
% 4.52/4.71  (step @p185 :rule bool-impl-elim :args (@t54 @t60))
% 4.52/4.71  (step @p186 :rule cong :premises (@p185) :args (@t61))
% 4.52/4.71  (step @p187 :rule eq_resolve :premises (@p30 @p186))
% 4.52/4.71  (step @p188 :rule instantiate :premises (@p187) :args ((@list @t217)))
% 4.52/4.71  (step @p189 :rule refl :args (@t197))
% 4.52/4.71  (step @p190 :rule refl :args (@t199))
% 4.52/4.71  (step @p191 :rule refl :args (@t201))
% 4.52/4.71  (step @p192 :rule refl :args (@t202))
% 4.52/4.71  (step @p193 :rule refl :args (@t203))
% 4.52/4.71  (step @p194 :rule eq-symm :args (@t204 tptp.xk))
% 4.52/4.71  (step @p195 :rule cong :premises (@p194) :args (@t267))
% 4.52/4.71  (step @p196 :rule refl :args (@t205))
% 4.52/4.71  (step @p197 :rule refl :args (@t206))
% 4.52/4.71  (step @p198 :rule refl :args (@t207))
% 4.52/4.71  (step @p199 :rule refl :args (@t208))
% 4.52/4.71  (step @p200 :rule refl :args (@t209))
% 4.52/4.71  (step @p201 :rule refl :args (@t212))
% 4.52/4.71  (step @p202 :rule refl :args (@t213))
% 4.52/4.71  (step @p203 :rule refl :args (@t214))
% 4.52/4.71  (step @p204 :rule nary_cong :premises (@p203 @p202 @p201 @p200 @p199 @p198 @p197 @p196 @p195 @p193 @p192 @p191 @p190 @p189) :args (@t268))
% 4.52/4.71  (step @p205 :rule aci_norm :args ((= @t270 @t268)))
% 4.52/4.71  (step @p206 :rule trans :premises (@p205 @p204))
% 4.52/4.71  (step @p207 :rule cong :premises (@p206) :args (@t271))
% 4.52/4.71  (step @p208 :rule quant-merge-prenex :args ((= (forall @t3 @t273) @t271)))
% 4.52/4.71  (step @p209 :rule alpha_equiv :args (@t274 (@list @t195 @t198) (@list @t5 @t275)))
% 4.52/4.71  (step @p210 :rule refl :args (@t208))
% 4.52/4.71  (step @p211 :rule refl :args (@t209))
% 4.52/4.71  (step @p212 :rule refl :args (@t212))
% 4.52/4.71  (step @p213 :rule refl :args (@t213))
% 4.52/4.71  (step @p214 :rule nary_cong :premises (@p119 @p213 @p212 @p211 @p210 @p209) :args (@t276))
% 4.52/4.71  (step @p215 :rule quant-miniscope-or :args ((= @t273 @t276)))
% 4.52/4.71  (step @p216 :rule trans :premises (@p215 @p214))
% 4.52/4.71  (step @p217 :rule symm :premises (@p216))
% 4.52/4.71  (step @p218 :rule cong :premises (@p217) :args ((forall @t3 @t291)))
% 4.52/4.71  (step @p219 :rule trans :premises (@p218 @p208))
% 4.52/4.71  (step @p220 :rule trans :premises (@p219 @p207))
% 4.52/4.71  (step @p221 :rule aci_norm :args ((= (or @t214 @t292) @t291)))
% 4.52/4.71  (step @p222 :rule bool-impl-elim :args (@t54 @t292))
% 4.52/4.71  (step @p223 :rule trans :premises (@p222 @p221))
% 4.52/4.71  (step @p224 :rule cong :premises (@p223) :args ((forall @t3 (=> @t54 @t292))))
% 4.52/4.71  (step @p225 :rule trans :premises (@p224 @p220))
% 4.52/4.71  (step @p226 :rule refl :args (@t155))
% 4.52/4.71  (step @p227 :rule refl :args (@t277))
% 4.52/4.71  (step @p228 :rule aci_norm :args ((= @t294 @t280)))
% 4.52/4.71  (step @p229 :rule nary_cong :premises (@p228 @p227) :args (@t295))
% 4.52/4.71  (step @p230 :rule refl :args (@t281))
% 4.52/4.71  (step @p231 :rule refl :args (@t282))
% 4.52/4.71  (step @p232 :rule refl :args (@t283))
% 4.52/4.71  (step @p233 :rule refl :args (@t284))
% 4.52/4.71  (step @p234 :rule refl :args (@t285))
% 4.52/4.71  (step @p235 :rule refl :args (@t287))
% 4.52/4.71  (step @p236 :rule refl :args (@t288))
% 4.52/4.71  (step @p237 :rule nary_cong :premises (@p236 @p235 @p234 @p233 @p232 @p231 @p230 @p229 @p226) :args (@t296))
% 4.52/4.71  (step @p238 :rule cong :premises (@p237) :args (@t297))
% 4.52/4.71  (step @p239 :rule quant-merge-prenex :args ((= (forall @t8 @t299) @t297)))
% 4.52/4.71  (step @p240 :rule refl :args (@t155))
% 4.52/4.71  (step @p241 :rule quant-unused-vars :args ((= @t300 @t277)))
% 4.52/4.71  (step @p242 :rule refl :args (@t157))
% 4.52/4.71  (step @p243 :rule alpha_equiv :args (@t301 (@list @t275) @t259))
% 4.52/4.71  (step @p244 :rule nary_cong :premises (@p243 @p242) :args (@t302))
% 4.52/4.71  (step @p245 :rule quant-miniscope-or :args ((= @t303 @t302)))
% 4.52/4.71  (step @p246 :rule trans :premises (@p245 @p244))
% 4.52/4.71  (step @p247 :rule nary_cong :premises (@p246 @p241) :args (@t304))
% 4.52/4.71  (step @p248 :rule quant-miniscope-and :args ((= @t305 @t304)))
% 4.52/4.71  (step @p249 :rule trans :premises (@p248 @p247))
% 4.52/4.71  (step @p250 :rule refl :args (@t281))
% 4.52/4.71  (step @p251 :rule refl :args (@t282))
% 4.52/4.71  (step @p252 :rule refl :args (@t283))
% 4.52/4.71  (step @p253 :rule refl :args (@t284))
% 4.52/4.71  (step @p254 :rule refl :args (@t285))
% 4.52/4.71  (step @p255 :rule refl :args (@t287))
% 4.52/4.71  (step @p256 :rule refl :args (@t288))
% 4.52/4.71  (step @p257 :rule nary_cong :premises (@p256 @p255 @p254 @p253 @p252 @p251 @p250 @p249 @p240) :args (@t306))
% 4.52/4.71  (step @p258 :rule quant-miniscope-or :args ((= @t299 @t306)))
% 4.52/4.71  (step @p259 :rule trans :premises (@p258 @p257))
% 4.52/4.71  (step @p260 :rule symm :premises (@p259))
% 4.52/4.71  (step @p261 :rule cong :premises (@p260) :args (@t309))
% 4.52/4.71  (step @p262 :rule trans :premises (@p261 @p239))
% 4.52/4.71  (step @p263 :rule trans :premises (@p262 @p238))
% 4.52/4.71  (step @p264 :rule nary_cong :premises (@p202 @p201 @p200 @p199 @p263) :args (@t310))
% 4.52/4.71  (step @p265 :rule quant-miniscope-or :args ((= (forall @t8 @t311) @t310)))
% 4.52/4.71  (step @p266 :rule aci_norm :args ((= @t312 @t311)))
% 4.52/4.71  (step @p267 :rule cong :premises (@p266) :args ((forall @t8 @t312)))
% 4.52/4.71  (step @p268 :rule trans :premises (@p267 @p265))
% 4.52/4.71  (step @p269 :rule trans :premises (@p268 @p264))
% 4.52/4.71  (step @p270 :rule aci_norm :args ((= (or @t314 @t313) @t312)))
% 4.52/4.71  (step @p271 :rule aci_norm :args ((= (or (or @t213 @t212) @t315) @t313)))
% 4.52/4.71  (step @p272 :rule aci_norm :args ((= (or (or @t282 @t281) @t316) @t315)))
% 4.52/4.71  (step @p273 :rule refl :args (@t316))
% 4.52/4.71  (step @p274 :rule bool-and-de-morgan :args (@t167 @t166 true))
% 4.52/4.71  (step @p275 :rule nary_cong :premises (@p274 @p273) :args ((or (not @t168) @t316)))
% 4.52/4.71  (step @p276 :rule trans :premises (@p275 @p272))
% 4.52/4.71  (step @p277 :rule bool-impl-elim :args (@t168 @t316))
% 4.52/4.71  (step @p278 :rule trans :premises (@p277 @p276))
% 4.52/4.71  (step @p279 :rule bool-and-de-morgan :args (@t133 @t211 true))
% 4.52/4.71  (step @p280 :rule nary_cong :premises (@p279 @p278) :args ((or (not @t318) @t317)))
% 4.52/4.71  (step @p281 :rule trans :premises (@p280 @p271))
% 4.52/4.71  (step @p282 :rule bool-impl-elim :args (@t318 @t317))
% 4.52/4.71  (step @p283 :rule trans :premises (@p282 @p281))
% 4.52/4.71  (step @p284 :rule aci_norm :args ((= (or @t288 (or @t213 (or @t212 (or @t209 (or @t208 (or @t287 (or @t285 (or @t284 @t283)))))))) @t314)))
% 4.52/4.71  (step @p285 :rule bool-and-de-morgan :args (@t173 @t172 true))
% 4.52/4.71  (step @p286 :rule nary_cong :premises (@p254 @p285) :args ((or @t285 (not (and @t173 @t172)))))
% 4.52/4.71  (step @p287 :rule bool-and-de-morgan :args (@t174 @t173 (and @t172)))
% 4.52/4.71  (step @p288 :rule trans :premises (@p287 @p286))
% 4.52/4.71  (step @p289 :rule nary_cong :premises (@p255 @p288) :args ((or @t287 (not (and @t174 @t173 @t172)))))
% 4.52/4.71  (step @p290 :rule bool-and-de-morgan :args (@t286 @t174 (and @t173 @t172)))
% 4.52/4.71  (step @p291 :rule trans :premises (@p290 @p289))
% 4.52/4.71  (step @p292 :rule nary_cong :premises (@p210 @p291) :args ((or @t208 (not (and @t286 @t174 @t173 @t172)))))
% 4.52/4.71  (step @p293 :rule bool-and-de-morgan :args (@t177 @t286 (and @t174 @t173 @t172)))
% 4.52/4.71  (step @p294 :rule trans :premises (@p293 @p292))
% 4.52/4.71  (step @p295 :rule nary_cong :premises (@p211 @p294) :args ((or @t209 (not (and @t177 @t286 @t174 @t173 @t172)))))
% 4.52/4.71  (step @p296 :rule bool-and-de-morgan :args (@t132 @t177 (and @t286 @t174 @t173 @t172)))
% 4.52/4.71  (step @p297 :rule trans :premises (@p296 @p295))
% 4.52/4.71  (step @p298 :rule nary_cong :premises (@p212 @p297) :args ((or @t212 (not (and @t132 @t177 @t286 @t174 @t173 @t172)))))
% 4.52/4.71  (step @p299 :rule bool-and-de-morgan :args (@t211 @t132 (and @t177 @t286 @t174 @t173 @t172)))
% 4.52/4.71  (step @p300 :rule trans :premises (@p299 @p298))
% 4.52/4.71  (step @p301 :rule nary_cong :premises (@p213 @p300) :args ((or @t213 (not (and @t211 @t132 @t177 @t286 @t174 @t173 @t172)))))
% 4.52/4.71  (step @p302 :rule bool-and-de-morgan :args (@t133 @t211 (and @t132 @t177 @t286 @t174 @t173 @t172)))
% 4.52/4.71  (step @p303 :rule trans :premises (@p302 @p301))
% 4.52/4.71  (step @p304 :rule nary_cong :premises (@p256 @p303) :args ((or @t288 (not (and @t133 @t211 @t132 @t177 @t286 @t174 @t173 @t172)))))
% 4.52/4.71  (step @p305 :rule bool-and-de-morgan :args (@t23 @t133 (and @t211 @t132 @t177 @t286 @t174 @t173 @t172)))
% 4.52/4.71  (step @p306 :rule trans :premises (@p305 @p304))
% 4.52/4.71  (step @p307 :rule trans :premises (@p306 @p284))
% 4.52/4.71  (step @p308 :rule nary_cong :premises (@p307 @p283) :args ((or (not @t320) @t319)))
% 4.52/4.71  (step @p309 :rule trans :premises (@p308 @p270))
% 4.52/4.71  (step @p310 :rule bool-impl-elim :args (@t320 @t319))
% 4.52/4.71  (step @p311 :rule trans :premises (@p310 @p309))
% 4.52/4.71  (step @p312 :rule cong :premises (@p311) :args ((forall @t8 (=> @t320 @t319))))
% 4.52/4.71  (step @p313 :rule trans :premises (@p312 @p269))
% 4.52/4.71  (step @p314 :rule eq-symm :args (@t156 tptp.xK))
% 4.52/4.71  (step @p315 :rule refl :args (@t157))
% 4.52/4.71  (step @p316 :rule bool-impl-elim :args (@t159 @t158))
% 4.52/4.71  (step @p317 :rule cong :premises (@p316) :args (@t160))
% 4.52/4.71  (step @p318 :rule nary_cong :premises (@p317 @p315) :args (@t161))
% 4.52/4.71  (step @p319 :rule nary_cong :premises (@p318 @p314) :args (@t162))
% 4.52/4.71  (step @p320 :rule nary_cong :premises (@p319 @p226) :args (@t163))
% 4.52/4.71  (step @p321 :rule refl :args (@t168))
% 4.52/4.71  (step @p322 :rule cong :premises (@p321 @p320) :args (@t169))
% 4.52/4.71  (step @p323 :rule bool-impl-elim :args (@t145 @t151))
% 4.52/4.71  (step @p324 :rule cong :premises (@p323) :args (@t152))
% 4.52/4.71  (step @p325 :rule refl :args (@t133))
% 4.52/4.71  (step @p326 :rule nary_cong :premises (@p325 @p324) :args (@t153))
% 4.52/4.71  (step @p327 :rule cong :premises (@p326 @p322) :args (@t170))
% 4.52/4.71  (step @p328 :rule refl :args (@t172))
% 4.52/4.71  (step @p329 :rule refl :args (@t173))
% 4.52/4.71  (step @p330 :rule refl :args (@t174))
% 4.52/4.71  (step @p331 :rule bool-impl-elim :args (@t20 @t175))
% 4.52/4.71  (step @p332 :rule cong :premises (@p331) :args (@t176))
% 4.52/4.71  (step @p333 :rule refl :args (@t177))
% 4.52/4.71  (step @p334 :rule refl :args (@t132))
% 4.52/4.71  (step @p335 :rule nary_cong :premises (@p100 @p325 @p324 @p334 @p333 @p332 @p330 @p329 @p328) :args (@t178))
% 4.52/4.71  (step @p336 :rule cong :premises (@p335 @p327) :args (@t179))
% 4.52/4.71  (step @p337 :rule cong :premises (@p336) :args (@t180))
% 4.52/4.71  (step @p338 :rule trans :premises (@p337 @p313))
% 4.52/4.71  (step @p339 :rule cong :premises (@p135 @p338) :args (@t181))
% 4.52/4.71  (step @p340 :rule cong :premises (@p339) :args (@t182))
% 4.52/4.71  (step @p341 :rule trans :premises (@p340 @p225))
% 4.52/4.71  (step @p342 :rule cong :premises (@p341) :args (@t183))
% 4.52/4.71  (step @p343 :rule eq_resolve :premises (@p84 @p342))
% 4.52/4.71  (step @p344 :rule skolemize :premises (@p343))
% 4.52/4.71  (step @p345 :rule bool-double-not-elim :args (@t321))
% 4.52/4.71  (step @p346 :rule refl :args (@t351))
% 4.52/4.71  (step @p347 :rule nary_cong :premises (@p346 @p345) :args ((or @t351 (not @t350))))
% 4.52/4.71  (step @p348 :rule cnf_or_neg :args (@t351 0))
% 4.52/4.71  (step @p349 :rule eq_resolve :premises (@p348 @p347))
% 4.52/4.71  (step @p350 :rule reordering :premises (@p349) :args ((or @t321 @t351)))
% 4.52/4.71  (step @p351 :rule chain_m_resolution :premises (@p350 @p344) :args (@t321 @t352 @t353))
% 4.52/4.71  (step @p352 :rule cnf_or_pos :args (@t355))
% 4.52/4.71  (step @p353 :rule reordering :premises (@p352) :args ((or @t350 @t354 (not @t355))))
% 4.52/4.71  (step @p354 :rule chain_m_resolution :premises (@p353 @p351 @p188) :args (@t354 @t238 (@list @t321 @t355)))
% 4.52/4.71  (step @p355 :rule cnf_or_pos :args (@t360))
% 4.52/4.71  (step @p356 :rule reordering :premises (@p355) :args ((or @t236 @t350 @t359 @t358 (not @t360))))
% 4.52/4.71  (step @p357 :rule chain_m_resolution :premises (@p356 @p24 @p351 @p354 @p184) :args (@t358 (@list false false false false) (@list @t52 @t321 @t354 @t360)))
% 4.52/4.71  (step @p358 :rule cnf_and_pos :args (@t358 1))
% 4.52/4.71  (step @p359 :rule reordering :premises (@p358) :args ((or @t245 @t361)))
% 4.52/4.71  (step @p360 :rule chain_m_resolution :premises (@p359 @p357) :args (@t245 @t239 @t362))
% 4.52/4.71  (step @p361 :rule cnf_equiv_pos1 :args (@t246))
% 4.52/4.71  (step @p362 :rule reordering :premises (@p361) :args ((or (not @t245) @t244 (not @t246))))
% 4.52/4.71  (step @p363 :rule chain_m_resolution :premises (@p362 @p360 @p149) :args (@t244 @t238 (@list @t245 @t246)))
% 4.52/4.71  (step @p364 :rule cnf_and_pos :args (@t244 1))
% 4.52/4.71  (step @p365 :rule reordering :premises (@p364) :args ((or @t242 (not @t244))))
% 4.52/4.71  (step @p366 :rule chain_m_resolution :premises (@p365 @p363) :args (@t242 @t239 (@list @t244)))
% 4.52/4.71  (step @p367 :rule instantiate :premises (@p366) :args (@t365))
% 4.52/4.71  (step @p368 :rule instantiate :premises (@p109) :args ((@list tptp.xS @t323)))
% 4.52/4.72  (step @p369 :rule and_elim :premises (@p75) :args (0))
% 4.52/4.72  (step @p370 :rule cnf_or_pos :args (@t369))
% 4.52/4.72  (step @p371 :rule reordering :premises (@p370) :args ((or @t368 @t367 (not @t369))))
% 4.52/4.72  (step @p372 :rule chain_m_resolution :premises (@p371 @p369 @p368) :args (@t367 @t238 (@list @t105 @t369)))
% 4.52/4.72  (step @p373 :rule eq-symm :args (@t371 @t69))
% 4.52/4.72  (step @p374 :rule refl :args (@t372))
% 4.52/4.72  (step @p375 :rule refl :args (@t373))
% 4.52/4.72  (step @p376 :rule refl :args (@t15))
% 4.52/4.72  (step @p377 :rule refl :args (@t186))
% 4.52/4.72  (step @p378 :rule nary_cong :premises (@p377 @p376 @p375 @p374 @p373) :args (@t375))
% 4.52/4.72  (step @p379 :rule aci_norm :args ((= @t377 @t375)))
% 4.52/4.72  (step @p380 :rule trans :premises (@p379 @p378))
% 4.52/4.72  (step @p381 :rule cong :premises (@p380) :args (@t379))
% 4.52/4.72  (step @p382 :rule quant-merge-prenex :args ((= (forall @t3 @t381) @t379)))
% 4.52/4.72  (step @p383 :rule alpha_equiv :args (@t382 (@list @t370) @t191))
% 4.52/4.72  (step @p384 :rule refl :args (@t15))
% 4.52/4.72  (step @p385 :rule nary_cong :premises (@p88 @p384 @p383) :args (@t383))
% 4.52/4.72  (step @p386 :rule quant-miniscope-or :args ((= @t381 @t383)))
% 4.52/4.72  (step @p387 :rule trans :premises (@p386 @p385))
% 4.52/4.72  (step @p388 :rule symm :premises (@p387))
% 4.52/4.72  (step @p389 :rule cong :premises (@p388) :args ((forall @t3 @t387)))
% 4.52/4.72  (step @p390 :rule trans :premises (@p389 @p382))
% 4.52/4.72  (step @p391 :rule trans :premises (@p390 @p381))
% 4.52/4.72  (step @p392 :rule aci_norm :args ((= (or (or @t186 @t15) @t386) @t387)))
% 4.52/4.72  (step @p393 :rule refl :args (@t386))
% 4.52/4.72  (step @p394 :rule bool-and-de-morgan :args (@t2 @t12 true))
% 4.52/4.72  (step @p395 :rule nary_cong :premises (@p394 @p393) :args ((or (not @t31) @t386)))
% 4.52/4.72  (step @p396 :rule trans :premises (@p395 @p392))
% 4.52/4.72  (step @p397 :rule bool-impl-elim :args (@t31 @t386))
% 4.52/4.72  (step @p398 :rule trans :premises (@p397 @p396))
% 4.52/4.72  (step @p399 :rule cong :premises (@p398) :args ((forall @t3 (=> @t31 @t386))))
% 4.52/4.72  (step @p400 :rule trans :premises (@p399 @p391))
% 4.52/4.72  (step @p401 :rule aci_norm :args ((= (or @t384 (or @t7 @t70)) @t385)))
% 4.52/4.72  (step @p402 :rule refl :args (@t70))
% 4.52/4.72  (step @p403 :rule bool-double-not-elim :args (@t7))
% 4.52/4.72  (step @p404 :rule nary_cong :premises (@p403 @p402) :args ((or (not @t71) @t70)))
% 4.52/4.72  (step @p405 :rule bool-impl-elim :args (@t71 @t70))
% 4.52/4.72  (step @p406 :rule trans :premises (@p405 @p404))
% 4.52/4.72  (step @p407 :rule refl :args (@t384))
% 4.52/4.72  (step @p408 :rule nary_cong :premises (@p407 @p406) :args ((or @t384 @t72)))
% 4.52/4.72  (step @p409 :rule trans :premises (@p408 @p401))
% 4.52/4.72  (step @p410 :rule bool-impl-elim :args (@t6 @t72))
% 4.52/4.72  (step @p411 :rule trans :premises (@p410 @p409))
% 4.52/4.72  (step @p412 :rule cong :premises (@p411) :args (@t73))
% 4.52/4.72  (step @p413 :rule refl :args (@t31))
% 4.52/4.72  (step @p414 :rule cong :premises (@p413 @p412) :args (@t74))
% 4.52/4.72  (step @p415 :rule cong :premises (@p414) :args (@t75))
% 4.52/4.72  (step @p416 :rule trans :premises (@p415 @p400))
% 4.52/4.72  (step @p417 :rule eq_resolve :premises (@p43 @p416))
% 4.52/4.72  (step @p418 :rule eq-symm :args (@t388 @t324))
% 4.52/4.72  (step @p419 :rule refl :args (@t389))
% 4.52/4.72  (step @p420 :rule refl :args (@t391))
% 4.52/4.72  (step @p421 :rule refl :args (@t393))
% 4.52/4.72  (step @p422 :rule refl :args (@t345))
% 4.52/4.72  (step @p423 :rule nary_cong :premises (@p422 @p421 @p420 @p419 @p418) :args (@t394))
% 4.52/4.72  (step @p424 :rule refl :args (@t395))
% 4.52/4.72  (step @p425 :rule cong :premises (@p424 @p423) :args ((=> @t395 @t394)))
% 4.52/4.72  (assume-push @p685 @t395)
% 4.52/4.72  (step @p427 :rule instantiate :premises (@p417) :args ((@list @t322 @t266)))
% 4.52/4.72  (step-pop @p686 :rule scope :premises (@p427))
% 4.52/4.72  (step @p428 :rule process_scope :premises (@p686) :args (@t394))
% 4.52/4.72  (step @p430 :rule eq_resolve :premises (@p428 @p425))
% 4.52/4.72  (step @p431 :rule implies_elim :premises (@p430))
% 4.52/4.72  (step @p432 :rule chain_m_resolution :premises (@p431 @p417) :args (@t397 @t239 (@list @t395)))
% 4.52/4.72  (step @p433 :rule bool-double-not-elim :args (@t342))
% 4.52/4.72  (step @p434 :rule nary_cong :premises (@p346 @p433) :args ((or @t351 (not @t343))))
% 4.52/4.72  (step @p435 :rule cnf_or_neg :args (@t351 6))
% 4.52/4.72  (step @p436 :rule eq_resolve :premises (@p435 @p434))
% 4.52/4.72  (step @p437 :rule reordering :premises (@p436) :args ((or @t342 @t351)))
% 4.52/4.72  (step @p438 :rule chain_m_resolution :premises (@p437 @p344) :args (@t342 @t352 @t353))
% 4.52/4.72  (step @p439 :rule instantiate :premises (@p438) :args (@t398))
% 4.52/4.72  (step @p440 :rule bool-double-not-elim :args (@t346))
% 4.52/4.72  (step @p441 :rule nary_cong :premises (@p346 @p440) :args ((or @t351 (not @t347))))
% 4.52/4.72  (step @p442 :rule cnf_or_neg :args (@t351 4))
% 4.52/4.72  (step @p443 :rule eq_resolve :premises (@p442 @p441))
% 4.52/4.72  (step @p444 :rule reordering :premises (@p443) :args ((or @t346 @t351)))
% 4.52/4.72  (step @p445 :rule chain_m_resolution :premises (@p444 @p344) :args (@t346 @t352 @t353))
% 4.52/4.72  (step @p446 :rule bool-eq-false :args (@t399))
% 4.52/4.72  (step @p447 :rule absorb :args ((= (and @t390 @t348 false) false)))
% 4.52/4.72  (step @p448 :rule evaluate :args ((not true)))
% 4.52/4.72  (step @p449 :rule eq-refl :args (@t266))
% 4.52/4.72  (step @p450 :rule cong :premises (@p449) :args (@t400))
% 4.52/4.72  (step @p451 :rule trans :premises (@p450 @p448))
% 4.52/4.72  (step @p452 :rule refl :args (@t348))
% 4.52/4.72  (step @p453 :rule refl :args (@t390))
% 4.52/4.72  (step @p454 :rule nary_cong :premises (@p453 @p452 @p451) :args (@t401))
% 4.52/4.72  (step @p455 :rule trans :premises (@p454 @p447))
% 4.52/4.72  (step @p456 :rule refl :args (@t399))
% 4.52/4.72  (step @p457 :rule cong :premises (@p456 @p455) :args (@t402))
% 4.52/4.72  (step @p458 :rule trans :premises (@p457 @p446))
% 4.52/4.72  (step @p459 :rule refl :args (@t346))
% 4.52/4.72  (step @p460 :rule cong :premises (@p459 @p458) :args ((=> @t346 @t402)))
% 4.52/4.72  (assume-push @p687 @t346)
% 4.52/4.72  (step @p462 :rule instantiate :premises (@p445) :args (@t398))
% 4.52/4.72  (step-pop @p688 :rule scope :premises (@p462))
% 4.52/4.72  (step @p463 :rule process_scope :premises (@p688) :args (@t402))
% 4.52/4.72  (step @p465 :rule eq_resolve :premises (@p463 @p460))
% 4.52/4.72  (step @p466 :rule implies_elim :premises (@p465))
% 4.52/4.72  (step @p467 :rule chain_m_resolution :premises (@p466 @p445) :args ((not @t399) @t239 @t403))
% 4.52/4.72  (step @p468 :rule cnf_or_pos :args (@t405))
% 4.52/4.72  (step @p469 :rule reordering :premises (@p468) :args ((or @t399 @t404 (not @t405))))
% 4.52/4.72  (step @p470 :rule chain_m_resolution :premises (@p469 @p467 @p439) :args (@t404 @t406 (@list @t399 @t405)))
% 4.52/4.72  (step @p471 :rule aci_norm :args ((= @t411 (or @t186 @t409 @t408))))
% 4.52/4.72  (step @p472 :rule cong :premises (@p471) :args (@t412))
% 4.52/4.72  (step @p473 :rule quant-merge-prenex :args ((= (forall @t3 @t414) @t412)))
% 4.52/4.72  (step @p474 :rule alpha_equiv :args (@t415 (@list @t407) @t191))
% 4.52/4.72  (step @p475 :rule nary_cong :premises (@p88 @p474) :args (@t416))
% 4.52/4.72  (step @p476 :rule quant-miniscope-or :args ((= @t414 @t416)))
% 4.52/4.72  (step @p477 :rule trans :premises (@p476 @p475))
% 4.52/4.72  (step @p478 :rule symm :premises (@p477))
% 4.52/4.72  (step @p479 :rule cong :premises (@p478) :args ((forall @t3 (or @t186 @t417))))
% 4.52/4.72  (step @p480 :rule trans :premises (@p479 @p473))
% 4.52/4.72  (step @p481 :rule trans :premises (@p480 @p472))
% 4.52/4.72  (step @p482 :rule bool-impl-elim :args (@t2 @t417))
% 4.52/4.72  (step @p483 :rule cong :premises (@p482) :args ((forall @t3 (=> @t2 @t417))))
% 4.52/4.72  (step @p484 :rule trans :premises (@p483 @p481))
% 4.52/4.72  (step @p485 :rule bool-impl-elim :args (@t7 @t6))
% 4.52/4.72  (step @p486 :rule cong :premises (@p485) :args (@t9))
% 4.52/4.72  (step @p487 :rule cong :premises (@p105 @p486) :args (@t10))
% 4.52/4.72  (step @p488 :rule cong :premises (@p487) :args (@t11))
% 4.52/4.72  (step @p489 :rule trans :premises (@p488 @p484))
% 4.52/4.72  (step @p490 :rule eq_resolve :premises (@p3 @p489))
% 4.52/4.72  (step @p491 :rule instantiate :premises (@p490) :args ((@list @t218 @t266)))
% 4.52/4.72  (step @p492 :rule instantiate :premises (@p139) :args ((@list @t217 @t266)))
% 4.52/4.72  (step @p493 :rule cnf_or_pos :args (@t419))
% 4.52/4.72  (step @p494 :rule reordering :premises (@p493) :args ((or @t350 @t418 (not @t419))))
% 4.52/4.72  (step @p495 :rule chain_m_resolution :premises (@p494 @p351 @p492) :args (@t418 @t238 (@list @t321 @t419)))
% 4.52/4.72  (step @p496 :rule cnf_and_pos :args (@t418 0))
% 4.52/4.72  (step @p497 :rule reordering :premises (@p496) :args ((or @t243 (not @t418))))
% 4.52/4.72  (step @p498 :rule chain_m_resolution :premises (@p497 @p495) :args (@t243 @t239 (@list @t418)))
% 4.52/4.72  (step @p499 :rule bool-double-not-elim :args (@t348))
% 4.52/4.72  (step @p500 :rule nary_cong :premises (@p346 @p499) :args ((or @t351 (not @t349))))
% 4.52/4.72  (step @p501 :rule cnf_or_neg :args (@t351 1))
% 4.52/4.72  (step @p502 :rule eq_resolve :premises (@p501 @p500))
% 4.52/4.72  (step @p503 :rule reordering :premises (@p502) :args ((or @t348 @t351)))
% 4.52/4.72  (step @p504 :rule chain_m_resolution :premises (@p503 @p344) :args (@t348 @t352 @t353))
% 4.52/4.72  (step @p505 :rule cnf_or_pos :args (@t421))
% 4.52/4.72  (step @p506 :rule reordering :premises (@p505) :args ((or @t349 @t420 @t390 (not @t421))))
% 4.52/4.72  (step @p507 :rule chain_m_resolution :premises (@p506 @p504 @p498 @p491) :args (@t390 (@list false false false) (@list @t348 @t243 @t421)))
% 4.52/4.72  (step @p508 :rule bool-impl-elim :args (@t2 @t422))
% 4.52/4.72  (step @p509 :rule cong :premises (@p508) :args ((forall @t3 (=> @t2 @t422))))
% 4.52/4.72  (step @p510 :rule eq-symm :args (@t66 @t12))
% 4.52/4.72  (step @p511 :rule cong :premises (@p105 @p510) :args (@t67))
% 4.52/4.72  (step @p512 :rule cong :premises (@p511) :args (@t68))
% 4.52/4.72  (step @p513 :rule trans :premises (@p512 @p509))
% 4.52/4.72  (step @p514 :rule eq_resolve :premises (@p41 @p513))
% 4.52/4.72  (step @p515 :rule instantiate :premises (@p514) :args ((@list @t322)))
% 4.52/4.72  (step @p516 :rule bool-double-not-elim :args (@t344))
% 4.52/4.72  (step @p517 :rule nary_cong :premises (@p346 @p516) :args ((or @t351 (not @t345))))
% 4.52/4.72  (step @p518 :rule cnf_or_neg :args (@t351 5))
% 4.52/4.72  (step @p519 :rule eq_resolve :premises (@p518 @p517))
% 4.52/4.72  (step @p520 :rule reordering :premises (@p519) :args ((or @t344 @t351)))
% 4.52/4.72  (step @p521 :rule chain_m_resolution :premises (@p520 @p344) :args (@t344 @t352 @t353))
% 4.52/4.72  (step @p522 :rule cnf_or_pos :args (@t425))
% 4.52/4.72  (step @p523 :rule reordering :premises (@p522) :args ((or @t345 @t424 (not @t425))))
% 4.52/4.72  (step @p524 :rule chain_m_resolution :premises (@p523 @p521 @p515) :args (@t424 @t238 (@list @t344 @t425)))
% 4.52/4.72  (step @p525 :rule and_elim :premises (@p79) :args (0))
% 4.52/4.72  (step @p526 :rule true_intro :premises (@p525))
% 4.52/4.72  (step @p527 :rule refl :args (tptp.szNzAzT0))
% 4.52/4.72  (step @p528 :rule bool-double-not-elim :args (@t339))
% 4.52/4.72  (step @p529 :rule nary_cong :premises (@p346 @p528) :args ((or @t351 (not @t340))))
% 4.52/4.72  (step @p530 :rule cnf_or_neg :args (@t351 8))
% 4.52/4.72  (step @p531 :rule eq_resolve :premises (@p530 @p529))
% 4.52/4.72  (step @p532 :rule reordering :premises (@p531) :args ((or @t339 @t351)))
% 4.52/4.72  (step @p533 :rule chain_m_resolution :premises (@p532 @p344) :args (@t339 @t352 @t353))
% 4.52/4.72  (step @p534 :rule symm :premises (@p533))
% 4.52/4.72  (step @p535 :rule cong :premises (@p534 @p527) :args (@t423))
% 4.52/4.72  (step @p536 :rule trans :premises (@p535 @p526))
% 4.52/4.72  (step @p537 :rule true_elim :premises (@p536))
% 4.52/4.72  (step @p538 :rule cnf_equiv_pos2 :args (@t424))
% 4.52/4.72  (step @p539 :rule reordering :premises (@p538) :args ((or @t392 (not @t423) (not @t424))))
% 4.52/4.72  (step @p540 :rule chain_m_resolution :premises (@p539 @p537 @p524) :args (@t392 @t238 (@list @t423 @t424)))
% 4.52/4.72  (step @p541 :rule cnf_or_pos :args (@t397))
% 4.52/4.72  (step @p542 :rule reordering :premises (@p541) :args ((or @t345 @t393 @t391 @t389 @t396 (not @t397))))
% 4.52/4.72  (step @p543 :rule chain_m_resolution :premises (@p542 @p521 @p540 @p507 @p470 @p432) :args (@t396 (@list false false false true false) (@list @t344 @t392 @t390 @t389 @t397)))
% 4.52/4.72  (step @p544 :rule symm :premises (@p543))
% 4.52/4.72  (step @p545 :rule cong :premises (@p533) :args (@t125))
% 4.52/4.72  (step @p546 :rule and_elim :premises (@p79) :args (1))
% 4.52/4.72  (step @p547 :rule symm :premises (@p546))
% 4.52/4.72  (step @p548 :rule trans :premises (@p547 @p545 @p544))
% 4.52/4.72  (step @p549 :rule cnf_or_neg :args (@t351 12))
% 4.52/4.72  (step @p550 :rule chain_m_resolution :premises (@p549 @p344) :args ((not @t329) @t352 @t353))
% 4.52/4.72  (step @p551 :rule cnf_and_neg :args (@t329))
% 4.52/4.72  (step @p552 :rule chain_m_resolution :premises (@p551 @p550 @p548) :args ((not @t328) @t406 (@list @t329 @t325)))
% 4.52/4.72  (step @p553 :rule cnf_or_neg :args (@t328 0))
% 4.52/4.72  (step @p554 :rule chain_m_resolution :premises (@p553 @p552) :args ((not @t327) @t352 (@list @t328)))
% 4.52/4.72  (step @p555 :rule cnf_equiv_pos2 :args (@t367))
% 4.52/4.72  (step @p556 :rule reordering :premises (@p555) :args ((or @t327 @t426 (not @t367))))
% 4.52/4.72  (step @p557 :rule chain_m_resolution :premises (@p556 @p554 @p372) :args (@t426 @t406 (@list @t327 @t367)))
% 4.52/4.72  (step @p558 :rule bool-double-not-elim :args (@t335))
% 4.52/4.72  (step @p559 :rule nary_cong :premises (@p346 @p558) :args ((or @t351 (not @t336))))
% 4.52/4.72  (step @p560 :rule cnf_or_neg :args (@t351 10))
% 4.52/4.72  (step @p561 :rule eq_resolve :premises (@p560 @p559))
% 4.52/4.72  (step @p562 :rule reordering :premises (@p561) :args ((or @t335 @t351)))
% 4.52/4.72  (step @p563 :rule chain_m_resolution :premises (@p562 @p344) :args (@t335 @t352 @t353))
% 4.52/4.72  (step @p564 :rule cnf_and_neg :args (@t366))
% 4.52/4.72  (step @p565 :rule reordering :premises (@p564) :args ((or @t336 @t366 @t427)))
% 4.52/4.72  (step @p566 :rule chain_m_resolution :premises (@p565 @p563 @p557) :args (@t427 @t428 (@list @t335 @t366)))
% 4.52/4.72  (step @p567 :rule skolemize :premises (@p566))
% 4.52/4.72  (step @p568 :rule cnf_or_neg :args (@t432 1))
% 4.52/4.72  (step @p569 :rule chain_m_resolution :premises (@p568 @p567) :args (@t433 @t352 @t434))
% 4.52/4.72  (step @p570 :rule false_intro :premises (@p569))
% 4.52/4.72  (step @p571 :rule and_elim :premises (@p80) :args (2))
% 4.52/4.72  (step @p572 :rule refl :args (@t364))
% 4.52/4.72  (step @p573 :rule cong :premises (@p572 @p571) :args (@t435))
% 4.52/4.72  (step @p574 :rule trans :premises (@p573 @p570))
% 4.52/4.72  (step @p575 :rule false_elim :premises (@p574))
% 4.52/4.72  (step @p576 :rule cnf_or_pos :args (@t438))
% 4.52/4.72  (step @p577 :rule reordering :premises (@p576) :args ((or @t435 @t437 (not @t438))))
% 4.52/4.72  (step @p578 :rule chain_m_resolution :premises (@p577 @p575 @p367) :args (@t437 @t406 (@list @t435 @t438)))
% 4.52/4.72  (step @p579 :rule eq-symm :args (@t364 @t266))
% 4.52/4.72  (step @p580 :rule cong :premises (@p579) :args (@t440))
% 4.52/4.72  (step @p581 :rule refl :args (@t436))
% 4.52/4.72  (step @p582 :rule refl :args (@t441))
% 4.52/4.72  (step @p583 :rule nary_cong :premises (@p582 @p581 @p580) :args (@t442))
% 4.52/4.72  (step @p584 :rule refl :args (@t443))
% 4.52/4.72  (step @p585 :rule cong :premises (@p584 @p583) :args (@t444))
% 4.52/4.72  (step @p586 :rule cong :premises (@p459 @p585) :args ((=> @t346 @t444)))
% 4.52/4.72  (assume-push @p689 @t346)
% 4.52/4.72  (step @p588 :rule instantiate :premises (@p445) :args (@t365))
% 4.52/4.72  (step-pop @p690 :rule scope :premises (@p588))
% 4.52/4.72  (step @p589 :rule process_scope :premises (@p690) :args (@t444))
% 4.52/4.72  (step @p591 :rule eq_resolve :premises (@p589 @p586))
% 4.52/4.72  (step @p592 :rule implies_elim :premises (@p591))
% 4.52/4.72  (step @p593 :rule chain_m_resolution :premises (@p592 @p445) :args (@t448 @t239 @t403))
% 4.52/4.72  (step @p594 :rule instantiate :premises (@p438) :args (@t365))
% 4.52/4.72  (step @p595 :rule bool-double-not-elim :args (@t333))
% 4.52/4.72  (step @p596 :rule nary_cong :premises (@p346 @p595) :args ((or @t351 (not @t334))))
% 4.52/4.72  (step @p597 :rule cnf_or_neg :args (@t351 11))
% 4.52/4.72  (step @p598 :rule eq_resolve :premises (@p597 @p596))
% 4.52/4.72  (step @p599 :rule reordering :premises (@p598) :args ((or @t333 @t351)))
% 4.52/4.72  (step @p600 :rule chain_m_resolution :premises (@p599 @p344) :args (@t333 @t352 @t353))
% 4.52/4.72  (step @p601 :rule refl :args (@t449))
% 4.52/4.72  (step @p602 :rule nary_cong :premises (@p601 @p579) :args (@t450))
% 4.52/4.72  (step @p603 :rule nary_cong :premises (@p582 @p602) :args (@t451))
% 4.52/4.72  (step @p604 :rule refl :args (@t430))
% 4.52/4.72  (step @p605 :rule cong :premises (@p604 @p603) :args (@t452))
% 4.52/4.72  (step @p606 :rule refl :args (@t333))
% 4.52/4.72  (step @p607 :rule cong :premises (@p606 @p605) :args ((=> @t333 @t452)))
% 4.52/4.72  (assume-push @p691 @t333)
% 4.52/4.72  (step @p609 :rule instantiate :premises (@p600) :args (@t365))
% 4.52/4.72  (step-pop @p692 :rule scope :premises (@p609))
% 4.52/4.72  (step @p610 :rule process_scope :premises (@p692) :args (@t452))
% 4.52/4.72  (step @p612 :rule eq_resolve :premises (@p610 @p607))
% 4.52/4.72  (step @p613 :rule implies_elim :premises (@p612))
% 4.52/4.72  (step @p614 :rule chain_m_resolution :premises (@p613 @p600) :args (@t455 @t239 (@list @t333)))
% 4.52/4.72  (step @p615 :rule bool-double-not-elim :args (@t430))
% 4.52/4.72  (step @p616 :rule refl :args (@t432))
% 4.52/4.72  (step @p617 :rule nary_cong :premises (@p616 @p615) :args ((or @t432 (not @t431))))
% 4.52/4.72  (step @p618 :rule cnf_or_neg :args (@t432 0))
% 4.52/4.72  (step @p619 :rule eq_resolve :premises (@p618 @p617))
% 4.52/4.72  (step @p620 :rule reordering :premises (@p619) :args ((or @t430 @t432)))
% 4.52/4.72  (step @p621 :rule chain_m_resolution :premises (@p620 @p567) :args (@t430 @t352 @t434))
% 4.52/4.72  (step @p622 :rule cnf_equiv_pos1 :args (@t455))
% 4.52/4.72  (step @p623 :rule reordering :premises (@p622) :args ((or @t431 @t454 (not @t455))))
% 4.52/4.72  (step @p624 :rule chain_m_resolution :premises (@p623 @p621 @p614) :args (@t454 @t238 (@list @t430 @t455)))
% 4.52/4.72  (step @p625 :rule cnf_and_pos :args (@t454 1))
% 4.52/4.72  (step @p626 :rule reordering :premises (@p625) :args ((or @t453 (not @t454))))
% 4.52/4.72  (step @p627 :rule chain_m_resolution :premises (@p626 @p624) :args (@t453 @t239 (@list @t454)))
% 4.52/4.72  (step @p628 :rule cnf_and_pos :args (@t358 0))
% 4.52/4.72  (step @p629 :rule reordering :premises (@p628) :args ((or @t357 @t361)))
% 4.52/4.72  (step @p630 :rule chain_m_resolution :premises (@p629 @p357) :args (@t357 @t239 @t362))
% 4.52/4.72  (step @p631 :rule cnf_or_pos :args (@t357))
% 4.52/4.72  (step @p632 :rule reordering :premises (@p631) :args ((or @t349 @t356 (not @t357))))
% 4.52/4.72  (step @p633 :rule chain_m_resolution :premises (@p632 @p504 @p630) :args (@t356 @t238 (@list @t348 @t357)))
% 4.52/4.72  (step @p634 :rule symm :premises (@p571))
% 4.52/4.72  (step @p635 :rule refl :args (@t446))
% 4.52/4.72  (step @p636 :rule bool-double-not-elim :args (@t429))
% 4.52/4.72  (step @p637 :rule refl :args (@t456))
% 4.52/4.72  (step @p638 :rule refl :args (@t458))
% 4.52/4.72  (step @p639 :rule nary_cong :premises (@p638 @p637 @p636 @p635) :args ((or @t458 @t456 (not @t433) @t446)))
% 4.52/4.72  (assume-push @p693 @t356)
% 4.52/4.72  (assume-push @p694 @t445)
% 4.52/4.72  (assume-push @p695 @t457)
% 4.52/4.72  (assume-push @p696 @t433)
% 4.52/4.72  (step @p644 :rule evaluate :args ((= false true)))
% 4.52/4.72  (step @p645 :rule true_intro :premises (@p633))
% 4.52/4.72  (step @p646 :rule refl :args (@t138))
% 4.52/4.72  (step @p647 :rule symm :premises (@p694))
% 4.52/4.72  (step @p648 :rule cong :premises (@p647 @p646) :args (@t435))
% 4.52/4.72  (step @p649 :rule cong :premises (@p572 @p634) :args (@t429))
% 4.52/4.72  (step @p650 :rule symm :premises (@p570))
% 4.52/4.72  (step @p651 :rule trans :premises (@p650 @p649 @p648 @p645))
% 4.52/4.72  (step @p652 false :rule eq_resolve :premises (@p651 @p644))
% 4.52/4.72  (step-pop @p697 :rule scope :premises (@p652))
% 4.52/4.72  (step-pop @p698 :rule scope :premises (@p697))
% 4.52/4.73  (step-pop @p699 :rule scope :premises (@p698))
% 4.52/4.73  (step-pop @p700 :rule scope :premises (@p699))
% 4.52/4.73  (step @p653 :rule process_scope :premises (@p700) :args (false))
% 4.52/4.73  (assume-push @p701 @t457)
% 4.52/4.73  (assume-push @p702 @t356)
% 4.52/4.73  (assume-push @p703 @t433)
% 4.52/4.73  (assume-push @p704 @t445)
% 4.52/4.73  (step @p662 :rule and_intro :premises (@p633 @p704 @p634 @p569))
% 4.52/4.73  (step-pop @p705 :rule scope :premises (@p662))
% 4.52/4.73  (step-pop @p706 :rule scope :premises (@p705))
% 4.52/4.73  (step-pop @p707 :rule scope :premises (@p706))
% 4.52/4.73  (step-pop @p708 :rule scope :premises (@p707))
% 4.52/4.73  (step @p663 :rule process_scope :premises (@p708) :args (@t459))
% 4.52/4.73  (step @p668 :rule implies_elim :premises (@p663))
% 4.52/4.73  (step @p669 :rule resolution :premises (@p668 @p653) :args (true @t459))
% 4.52/4.73  (step @p670 :rule not_and :premises (@p669))
% 4.52/4.73  (step @p671 :rule eq_resolve :premises (@p670 @p639))
% 4.52/4.73  (step @p672 :rule chain_m_resolution :premises (@p671 @p634 @p633 @p569) :args (@t446 (@list false false true) (@list @t457 @t356 @t429)))
% 4.52/4.73  (step @p673 :rule cnf_or_pos :args (@t453))
% 4.52/4.73  (step @p674 :rule reordering :premises (@p673) :args ((or @t449 @t445 (not @t453))))
% 4.52/4.73  (step @p675 :rule chain_m_resolution :premises (@p674 @p672 @p627) :args (@t449 @t406 (@list @t445 @t453)))
% 4.52/4.73  (step @p676 :rule cnf_or_pos :args (@t461))
% 4.52/4.73  (step @p677 :rule reordering :premises (@p676) :args ((or @t443 @t460 (not @t461))))
% 4.52/4.73  (step @p678 :rule chain_m_resolution :premises (@p677 @p675 @p594) :args (@t443 @t238 (@list @t449 @t461)))
% 4.52/4.73  (step @p679 :rule cnf_equiv_pos1 :args (@t448))
% 4.52/4.73  (step @p680 :rule reordering :premises (@p679) :args ((or (not @t443) @t447 (not @t448))))
% 4.52/4.73  (step @p681 :rule chain_m_resolution :premises (@p680 @p678 @p593) :args (@t447 @t238 (@list @t443 @t448)))
% 4.52/4.73  (step @p682 :rule cnf_and_pos :args (@t447 1))
% 4.52/4.73  (step @p683 :rule reordering :premises (@p682) :args ((or @t436 (not @t447))))
% 4.52/4.73  (step @p684 false :rule chain_m_resolution :premises (@p683 @p681 @p578) :args (false @t428 (@list @t447 @t436)))
% 4.52/4.73  )
% 4.52/4.73  % SZS output end Proof
% 4.52/4.73  % cvc5 exiting
%------------------------------------------------------------------------------