cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : COM020+4 : 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 : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:10:26 AM UTC 2026

% Result   : Theorem 50.07s 50.33s
% Output   : Proof 50.07s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : COM020+4 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.06  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.25  % Computer : n024.cluster.edu
% 0.08/0.25  % Model    : x86_64 x86_64
% 0.08/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.25  % Memory   : 8042.1875MB
% 0.08/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.25  % CPULimit : 300
% 0.08/0.25  % WCLimit  : 300
% 0.08/0.25  % DateTime : Mon Jun  1 15:28:30 EDT 2026
% 0.08/0.25  % CPUTime  : 
% 0.14/0.34  %----Proving TF0_NAR, FOF, or CNF
% 50.07/50.33  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 50.07/50.33  --- Run --no-e-matching --full-saturate-quant at 6...
% 50.07/50.33  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 50.07/50.33  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 50.07/50.33  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 50.07/50.33  % SZS status Theorem
% 50.07/50.33  % SZS output start Proof
% 50.07/50.33  (
% 50.07/50.33  (declare-sort $$unsorted 0)
% 50.07/50.33  (declare-const tptp.xv $$unsorted)
% 50.07/50.33  (declare-const tptp.xu $$unsorted)
% 50.07/50.33  (declare-const tptp.xa $$unsorted)
% 50.07/50.33  (declare-const tptp.xw $$unsorted)
% 50.07/50.33  (declare-const tptp.aElement0 (-> $$unsorted Bool))
% 50.07/50.33  (declare-const tptp.aRewritingSystem0 (-> $$unsorted Bool))
% 50.07/50.33  (declare-const tptp.sdtmndtplgtdt0 (-> $$unsorted $$unsorted $$unsorted Bool))
% 50.07/50.33  (declare-const tptp.sdtmndtasgtdt0 (-> $$unsorted $$unsorted $$unsorted Bool))
% 50.07/50.33  (declare-const tptp.aReductOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool))
% 50.07/50.33  (declare-const tptp.isLocallyConfluent0 (-> $$unsorted Bool))
% 50.07/50.33  (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool))
% 50.07/50.33  (declare-const tptp.isConfluent0 (-> $$unsorted Bool))
% 50.07/50.33  (declare-const tptp.xR $$unsorted)
% 50.07/50.33  (declare-const tptp.isTerminating0 (-> $$unsorted Bool))
% 50.07/50.33  (declare-const tptp.aNormalFormOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool))
% 50.07/50.33  (declare-const tptp.xd $$unsorted)
% 50.07/50.33  (declare-const tptp.xc $$unsorted)
% 50.07/50.33  (declare-const tptp.xb $$unsorted)
% 50.07/50.33  (define @t1 () (@var "W0" $$unsorted))
% 50.07/50.33  (define @t2 () (tptp.aElement0 @t1))
% 50.07/50.33  (define @t3 () (@list @t1))
% 50.07/50.33  (define @t4 () (tptp.aRewritingSystem0 @t1))
% 50.07/50.33  (define @t5 () (@var "W2" $$unsorted))
% 50.07/50.33  (define @t6 () (tptp.aElement0 @t5))
% 50.07/50.33  (define @t7 () (@var "W1" $$unsorted))
% 50.07/50.33  (define @t8 () (tptp.aReductOfIn0 @t5 @t1 @t7))
% 50.07/50.33  (define @t9 () (@list @t5))
% 50.07/50.33  (define @t10 () (tptp.aRewritingSystem0 @t7))
% 50.07/50.33  (define @t11 () (and @t2 @t10))
% 50.07/50.33  (define @t12 () (@list @t1 @t7))
% 50.07/50.33  (define @t13 () (tptp.aElement0 @t7))
% 50.07/50.33  (define @t14 () (and @t2 @t13))
% 50.07/50.33  (define @t15 () (tptp.sdtmndtplgtdt0 @t1 @t7 @t5))
% 50.07/50.33  (define @t16 () (and @t2 @t10 @t6))
% 50.07/50.33  (define @t17 () (@list @t1 @t7 @t5))
% 50.07/50.33  (define @t18 () (@var "W3" $$unsorted))
% 50.07/50.33  (define @t19 () (tptp.aElement0 @t18))
% 50.07/50.33  (define @t20 () (@list @t18))
% 50.07/50.33  (define @t21 () (tptp.sdtmndtplgtdt0 @t1 @t7 @t18))
% 50.07/50.33  (define @t22 () (tptp.sdtmndtplgtdt0 @t5 @t7 @t18))
% 50.07/50.33  (define @t23 () (and @t15 @t22))
% 50.07/50.33  (define @t24 () (=> @t23 @t21))
% 50.07/50.33  (define @t25 () (and @t2 @t10 @t6 @t19))
% 50.07/50.33  (define @t26 () (@list @t1 @t7 @t5 @t18))
% 50.07/50.33  (define @t27 () (forall @t26 (=> @t25 @t24)))
% 50.07/50.33  (define @t28 () (= @t1 @t5))
% 50.07/50.33  (define @t29 () (tptp.sdtmndtasgtdt0 @t1 @t7 @t5))
% 50.07/50.33  (define @t30 () (@var "W4" $$unsorted))
% 50.07/50.33  (define @t31 () (tptp.aElement0 @t30))
% 50.07/50.33  (define @t32 () (@list @t30))
% 50.07/50.33  (define @t33 () (exists @t32 (and @t31 (tptp.sdtmndtasgtdt0 @t5 @t1 @t30) (tptp.sdtmndtasgtdt0 @t18 @t1 @t30))))
% 50.07/50.33  (define @t34 () (@list @t7 @t5 @t18))
% 50.07/50.33  (define @t35 () (tptp.isTerminating0 @t1))
% 50.07/50.33  (define @t36 () (@list @t7))
% 50.07/50.33  (define @t37 () (tptp.aRewritingSystem0 tptp.xR))
% 50.07/50.33  (define @t38 () (tptp.iLess0 @t7 @t1))
% 50.07/50.33  (define @t39 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR @t7))
% 50.07/50.33  (define @t40 () (tptp.sdtmndtplgtdt0 @t5 tptp.xR @t7))
% 50.07/50.33  (define @t41 () (tptp.aReductOfIn0 @t5 @t1 tptp.xR))
% 50.07/50.33  (define @t42 () (and @t6 @t41 @t40))
% 50.07/50.33  (define @t43 () (exists @t9 @t42))
% 50.07/50.33  (define @t44 () (tptp.aReductOfIn0 @t7 @t1 tptp.xR))
% 50.07/50.33  (define @t45 () (or @t44 @t43 @t39))
% 50.07/50.33  (define @t46 () (=> @t45 @t38))
% 50.07/50.33  (define @t47 () (=> @t14 @t46))
% 50.07/50.33  (define @t48 () (forall @t12 @t47))
% 50.07/50.33  (define @t49 () (tptp.sdtmndtasgtdt0 @t5 tptp.xR @t18))
% 50.07/50.33  (define @t50 () (tptp.sdtmndtplgtdt0 @t5 tptp.xR @t18))
% 50.07/50.33  (define @t51 () (tptp.sdtmndtplgtdt0 @t30 tptp.xR @t18))
% 50.07/50.33  (define @t52 () (tptp.aReductOfIn0 @t30 @t5 tptp.xR))
% 50.07/50.33  (define @t53 () (and @t31 @t52 @t51))
% 50.07/50.33  (define @t54 () (exists @t32 @t53))
% 50.07/50.33  (define @t55 () (tptp.aReductOfIn0 @t18 @t5 tptp.xR))
% 50.07/50.33  (define @t56 () (or @t55 @t54))
% 50.07/50.33  (define @t57 () (and @t56 @t50))
% 50.07/50.33  (define @t58 () (= @t5 @t18))
% 50.07/50.33  (define @t59 () (or @t58 @t57))
% 50.07/50.33  (define @t60 () (tptp.sdtmndtasgtdt0 @t7 tptp.xR @t18))
% 50.07/50.33  (define @t61 () (tptp.sdtmndtplgtdt0 @t7 tptp.xR @t18))
% 50.07/50.33  (define @t62 () (tptp.aReductOfIn0 @t30 @t7 tptp.xR))
% 50.07/50.33  (define @t63 () (and @t31 @t62 @t51))
% 50.07/50.33  (define @t64 () (exists @t32 @t63))
% 50.07/50.33  (define @t65 () (tptp.aReductOfIn0 @t18 @t7 tptp.xR))
% 50.07/50.33  (define @t66 () (or @t65 @t64))
% 50.07/50.33  (define @t67 () (and @t66 @t61))
% 50.07/50.33  (define @t68 () (= @t7 @t18))
% 50.07/50.33  (define @t69 () (or @t68 @t67))
% 50.07/50.33  (define @t70 () (and @t19 @t69 @t60 @t59 @t49))
% 50.07/50.33  (define @t71 () (exists @t20 @t70))
% 50.07/50.33  (define @t72 () (tptp.aElement0 tptp.xb))
% 50.07/50.33  (define @t73 () (tptp.aElement0 tptp.xa))
% 50.07/50.33  (define @t74 () (tptp.iLess0 @t1 tptp.xa))
% 50.07/50.33  (define @t75 () (=> @t74 @t71))
% 50.07/50.33  (define @t76 () (tptp.sdtmndtasgtdt0 @t1 tptp.xR @t5))
% 50.07/50.33  (define @t77 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR @t5))
% 50.07/50.33  (define @t78 () (tptp.sdtmndtplgtdt0 @t18 tptp.xR @t5))
% 50.07/50.33  (define @t79 () (tptp.aReductOfIn0 @t18 @t1 tptp.xR))
% 50.07/50.33  (define @t80 () (and @t19 @t79 @t78))
% 50.07/50.33  (define @t81 () (exists @t20 @t80))
% 50.07/50.33  (define @t82 () (or @t28 @t41 @t81 @t77 @t76))
% 50.07/50.33  (define @t83 () (tptp.sdtmndtasgtdt0 @t1 tptp.xR @t7))
% 50.07/50.33  (define @t84 () (tptp.sdtmndtplgtdt0 @t18 tptp.xR @t7))
% 50.07/50.33  (define @t85 () (and @t19 @t79 @t84))
% 50.07/50.33  (define @t86 () (exists @t20 @t85))
% 50.07/50.33  (define @t87 () (= @t1 @t7))
% 50.07/50.33  (define @t88 () (or @t87 @t44 @t86 @t39 @t83))
% 50.07/50.33  (define @t89 () (and @t2 @t13 @t6 @t88 @t82))
% 50.07/50.33  (define @t90 () (=> @t89 @t75))
% 50.07/50.33  (define @t91 () (forall @t17 @t90))
% 50.07/50.33  (define @t92 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR tptp.xc))
% 50.07/50.33  (define @t93 () (tptp.aReductOfIn0 @t1 tptp.xa tptp.xR))
% 50.07/50.33  (define @t94 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR tptp.xb))
% 50.07/50.33  (define @t95 () (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xb))
% 50.07/50.33  (define @t96 () (tptp.sdtmndtplgtdt0 tptp.xu tptp.xR tptp.xb))
% 50.07/50.33  (define @t97 () (tptp.aReductOfIn0 @t1 tptp.xu tptp.xR))
% 50.07/50.33  (define @t98 () (and @t2 @t97 @t94))
% 50.07/50.33  (define @t99 () (exists @t3 @t98))
% 50.07/50.33  (define @t100 () (tptp.aReductOfIn0 tptp.xb tptp.xu tptp.xR))
% 50.07/50.33  (define @t101 () (or @t100 @t99))
% 50.07/50.33  (define @t102 () (and @t101 @t96))
% 50.07/50.33  (define @t103 () (= tptp.xu tptp.xb))
% 50.07/50.33  (define @t104 () (or @t103 @t102))
% 50.07/50.33  (define @t105 () (tptp.aReductOfIn0 tptp.xu tptp.xa tptp.xR))
% 50.07/50.33  (define @t106 () (tptp.aElement0 tptp.xu))
% 50.07/50.33  (define @t107 () (tptp.aReductOfIn0 @t1 tptp.xv tptp.xR))
% 50.07/50.33  (define @t108 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR tptp.xw))
% 50.07/50.33  (define @t109 () (tptp.sdtmndtplgtdt0 tptp.xu tptp.xR tptp.xw))
% 50.07/50.33  (define @t110 () (and @t2 @t97 @t108))
% 50.07/50.33  (define @t111 () (exists @t3 @t110))
% 50.07/50.33  (define @t112 () (tptp.aReductOfIn0 tptp.xw tptp.xu tptp.xR))
% 50.07/50.33  (define @t113 () (or @t112 @t111))
% 50.07/50.33  (define @t114 () (and @t113 @t109))
% 50.07/50.33  (define @t115 () (= tptp.xu tptp.xw))
% 50.07/50.33  (define @t116 () (or @t115 @t114))
% 50.07/50.33  (define @t117 () (tptp.aElement0 tptp.xw))
% 50.07/50.33  (define @t118 () (tptp.aReductOfIn0 @t1 tptp.xd tptp.xR))
% 50.07/50.33  (define @t119 () (tptp.sdtmndtasgtdt0 tptp.xw tptp.xR tptp.xd))
% 50.07/50.33  (define @t120 () (tptp.sdtmndtplgtdt0 tptp.xw tptp.xR tptp.xd))
% 50.07/50.33  (define @t121 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR tptp.xd))
% 50.07/50.33  (define @t122 () (tptp.aReductOfIn0 @t1 tptp.xw tptp.xR))
% 50.07/50.33  (define @t123 () (and @t2 @t122 @t121))
% 50.07/50.33  (define @t124 () (exists @t3 @t123))
% 50.07/50.33  (define @t125 () (tptp.aReductOfIn0 tptp.xd tptp.xw tptp.xR))
% 50.07/50.33  (define @t126 () (or @t125 @t124))
% 50.07/50.33  (define @t127 () (and @t126 @t120))
% 50.07/50.33  (define @t128 () (= tptp.xw tptp.xd))
% 50.07/50.33  (define @t129 () (or @t128 @t127))
% 50.07/50.33  (define @t130 () (tptp.aElement0 tptp.xd))
% 50.07/50.33  (define @t131 () (tptp.sdtmndtasgtdt0 tptp.xd tptp.xR @t1))
% 50.07/50.33  (define @t132 () (tptp.sdtmndtplgtdt0 tptp.xd tptp.xR @t1))
% 50.07/50.33  (define @t133 () (tptp.sdtmndtplgtdt0 @t7 tptp.xR @t1))
% 50.07/50.33  (define @t134 () (tptp.aReductOfIn0 @t7 tptp.xd tptp.xR))
% 50.07/50.33  (define @t135 () (and @t13 @t134 @t133))
% 50.07/50.33  (define @t136 () (exists @t36 @t135))
% 50.07/50.33  (define @t137 () (or (= tptp.xd @t1) @t118 @t136 @t132 @t131))
% 50.07/50.33  (define @t138 () (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR @t1))
% 50.07/50.33  (define @t139 () (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR @t1))
% 50.07/50.33  (define @t140 () (tptp.aReductOfIn0 @t7 tptp.xb tptp.xR))
% 50.07/50.33  (define @t141 () (and @t13 @t140 @t133))
% 50.07/50.33  (define @t142 () (exists @t36 @t141))
% 50.07/50.33  (define @t143 () (tptp.aReductOfIn0 @t1 tptp.xb tptp.xR))
% 50.07/50.33  (define @t144 () (or (= tptp.xb @t1) @t143 @t142 @t139 @t138))
% 50.07/50.33  (define @t145 () (and @t2 @t144 @t137))
% 50.07/50.33  (define @t146 () (exists @t3 @t145))
% 50.07/50.33  (define @t147 () (not @t146))
% 50.07/50.33  (define @t148 () (not @t22))
% 50.07/50.33  (define @t149 () (not @t15))
% 50.07/50.33  (define @t150 () (not @t19))
% 50.07/50.33  (define @t151 () (not @t6))
% 50.07/50.33  (define @t152 () (not @t10))
% 50.07/50.33  (define @t153 () (not @t2))
% 50.07/50.33  (define @t154 () (or @t153 @t152 @t151 @t150 @t149 @t148 @t21))
% 50.07/50.33  (define @t155 () (or @t149 @t148 @t21))
% 50.07/50.33  (define @t156 () (or @t153 @t152 @t151 @t150))
% 50.07/50.33  (define @t157 () (not @t49))
% 50.07/50.33  (define @t158 () (not @t50))
% 50.07/50.33  (define @t159 () (@var "BOUND_VARIABLE_7944" $$unsorted))
% 50.07/50.33  (define @t160 () (not (tptp.sdtmndtplgtdt0 @t159 tptp.xR @t18)))
% 50.07/50.33  (define @t161 () (not (tptp.aElement0 @t159)))
% 50.07/50.33  (define @t162 () (or @t161 (not (tptp.aReductOfIn0 @t159 @t5 tptp.xR)) @t160))
% 50.07/50.33  (define @t163 () (not @t55))
% 50.07/50.33  (define @t164 () (and @t163 @t162))
% 50.07/50.33  (define @t165 () (or @t164 @t158))
% 50.07/50.33  (define @t166 () (not @t58))
% 50.07/50.33  (define @t167 () (and @t166 @t165))
% 50.07/50.33  (define @t168 () (not @t60))
% 50.07/50.33  (define @t169 () (not @t61))
% 50.07/50.33  (define @t170 () (@var "BOUND_VARIABLE_7932" $$unsorted))
% 50.07/50.33  (define @t171 () (not (tptp.sdtmndtplgtdt0 @t170 tptp.xR @t18)))
% 50.07/50.33  (define @t172 () (not (tptp.aElement0 @t170)))
% 50.07/50.33  (define @t173 () (or @t172 (not (tptp.aReductOfIn0 @t170 @t7 tptp.xR)) @t171))
% 50.07/50.33  (define @t174 () (not @t65))
% 50.07/50.33  (define @t175 () (and @t174 @t173))
% 50.07/50.33  (define @t176 () (or @t175 @t169))
% 50.07/50.33  (define @t177 () (not @t68))
% 50.07/50.33  (define @t178 () (and @t177 @t176))
% 50.07/50.33  (define @t179 () (or @t150 @t178 @t168 @t167 @t157))
% 50.07/50.33  (define @t180 () (@list @t18 @t170 @t159))
% 50.07/50.33  (define @t181 () (forall @t180 @t179))
% 50.07/50.33  (define @t182 () (not @t181))
% 50.07/50.33  (define @t183 () (not @t74))
% 50.07/50.33  (define @t184 () (not @t76))
% 50.07/50.33  (define @t185 () (not @t77))
% 50.07/50.33  (define @t186 () (@var "BOUND_VARIABLE_8048" $$unsorted))
% 50.07/50.33  (define @t187 () (or (not (tptp.aElement0 @t186)) (not (tptp.aReductOfIn0 @t186 @t1 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t186 tptp.xR @t5))))
% 50.07/50.33  (define @t188 () (not @t41))
% 50.07/50.33  (define @t189 () (not @t28))
% 50.07/50.33  (define @t190 () (and @t189 @t188 @t187 @t185 @t184))
% 50.07/50.33  (define @t191 () (not @t83))
% 50.07/50.33  (define @t192 () (not @t39))
% 50.07/50.33  (define @t193 () (@var "BOUND_VARIABLE_8038" $$unsorted))
% 50.07/50.33  (define @t194 () (or (not (tptp.aElement0 @t193)) (not (tptp.aReductOfIn0 @t193 @t1 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t193 tptp.xR @t7))))
% 50.07/50.33  (define @t195 () (not @t44))
% 50.07/50.33  (define @t196 () (not @t87))
% 50.07/50.33  (define @t197 () (and @t196 @t195 @t194 @t192 @t191))
% 50.07/50.33  (define @t198 () (not @t13))
% 50.07/50.33  (define @t199 () (or @t153 @t198 @t151 @t197 @t190 @t183 @t182))
% 50.07/50.33  (define @t200 () (forall (@list @t1 @t7 @t5 @t193 @t186) @t199))
% 50.07/50.33  (define @t201 () (forall (@list @t193 @t186) @t199))
% 50.07/50.33  (define @t202 () (@list @t186))
% 50.07/50.33  (define @t203 () (forall @t202 @t184))
% 50.07/50.33  (define @t204 () (forall @t202 @t185))
% 50.07/50.33  (define @t205 () (forall @t202 @t187))
% 50.07/50.33  (define @t206 () (@list @t18))
% 50.07/50.33  (define @t207 () (forall @t202 @t188))
% 50.07/50.33  (define @t208 () (forall @t202 @t189))
% 50.07/50.33  (define @t209 () (and @t208 @t207 @t205 @t204 @t203))
% 50.07/50.33  (define @t210 () (forall @t202 @t190))
% 50.07/50.33  (define @t211 () (@list @t193))
% 50.07/50.33  (define @t212 () (forall @t211 @t191))
% 50.07/50.33  (define @t213 () (forall @t211 @t192))
% 50.07/50.33  (define @t214 () (forall @t211 @t194))
% 50.07/50.33  (define @t215 () (forall @t211 @t195))
% 50.07/50.33  (define @t216 () (forall @t211 @t196))
% 50.07/50.33  (define @t217 () (and @t216 @t215 @t214 @t213 @t212))
% 50.07/50.33  (define @t218 () (forall @t211 @t197))
% 50.07/50.33  (define @t219 () (or @t153 @t198 @t151 @t218 @t210 @t183 @t182))
% 50.07/50.33  (define @t220 () (not @t78))
% 50.07/50.33  (define @t221 () (not @t79))
% 50.07/50.33  (define @t222 () (or @t150 @t221 @t220))
% 50.07/50.33  (define @t223 () (forall @t20 @t222))
% 50.07/50.33  (define @t224 () (and @t189 @t188 @t223 @t185 @t184))
% 50.07/50.33  (define @t225 () (not @t84))
% 50.07/50.33  (define @t226 () (or @t150 @t221 @t225))
% 50.07/50.33  (define @t227 () (forall @t20 @t226))
% 50.07/50.33  (define @t228 () (and @t196 @t195 @t227 @t192 @t191))
% 50.07/50.33  (define @t229 () (or @t153 @t198 @t151 @t228 @t224 @t183 @t182))
% 50.07/50.33  (define @t230 () (not @t223))
% 50.07/50.33  (define @t231 () (not @t230))
% 50.07/50.33  (define @t232 () (and @t189 @t188 @t231 @t185 @t184))
% 50.07/50.33  (define @t233 () (not @t227))
% 50.07/50.33  (define @t234 () (not @t233))
% 50.07/50.33  (define @t235 () (and @t196 @t195 @t234 @t192 @t191))
% 50.07/50.33  (define @t236 () (or @t28 @t41 @t230 @t77 @t76))
% 50.07/50.33  (define @t237 () (not @t236))
% 50.07/50.33  (define @t238 () (or @t87 @t44 @t233 @t39 @t83))
% 50.07/50.33  (define @t239 () (not @t238))
% 50.07/50.33  (define @t240 () (or @t153 @t198 @t151 @t239 @t237))
% 50.07/50.33  (define @t241 () (=> @t74 @t182))
% 50.07/50.33  (define @t242 () (and @t2 @t13 @t6 @t238 @t236))
% 50.07/50.33  (define @t243 () (forall (@list @t170 @t159) @t179))
% 50.07/50.33  (define @t244 () (@list @t159))
% 50.07/50.33  (define @t245 () (forall @t244 @t162))
% 50.07/50.33  (define @t246 () (@list @t30))
% 50.07/50.33  (define @t247 () (forall @t244 @t163))
% 50.07/50.33  (define @t248 () (and @t247 @t245))
% 50.07/50.33  (define @t249 () (forall @t244 @t164))
% 50.07/50.33  (define @t250 () (or @t249 @t158))
% 50.07/50.33  (define @t251 () (forall @t244 @t165))
% 50.07/50.33  (define @t252 () (forall @t244 @t166))
% 50.07/50.33  (define @t253 () (and @t252 @t251))
% 50.07/50.33  (define @t254 () (forall @t244 @t167))
% 50.07/50.33  (define @t255 () (@list @t170))
% 50.07/50.33  (define @t256 () (forall @t255 @t173))
% 50.07/50.33  (define @t257 () (forall @t255 @t174))
% 50.07/50.33  (define @t258 () (and @t257 @t256))
% 50.07/50.33  (define @t259 () (forall @t255 @t175))
% 50.07/50.33  (define @t260 () (or @t259 @t169))
% 50.07/50.33  (define @t261 () (forall @t255 @t176))
% 50.07/50.33  (define @t262 () (forall @t255 @t177))
% 50.07/50.33  (define @t263 () (and @t262 @t261))
% 50.07/50.33  (define @t264 () (forall @t255 @t178))
% 50.07/50.33  (define @t265 () (or @t150 @t264 @t168 @t254 @t157))
% 50.07/50.33  (define @t266 () (not @t51))
% 50.07/50.33  (define @t267 () (not @t52))
% 50.07/50.33  (define @t268 () (not @t31))
% 50.07/50.33  (define @t269 () (or @t268 @t267 @t266))
% 50.07/50.33  (define @t270 () (forall @t32 @t269))
% 50.07/50.33  (define @t271 () (not @t62))
% 50.07/50.33  (define @t272 () (or @t268 @t271 @t266))
% 50.07/50.33  (define @t273 () (forall @t32 @t272))
% 50.07/50.33  (define @t274 () (not @t270))
% 50.07/50.33  (define @t275 () (or @t55 @t274))
% 50.07/50.33  (define @t276 () (and @t275 @t50))
% 50.07/50.33  (define @t277 () (not @t273))
% 50.07/50.33  (define @t278 () (or @t65 @t277))
% 50.07/50.33  (define @t279 () (and @t278 @t61))
% 50.07/50.33  (define @t280 () (or @t58 @t276))
% 50.07/50.33  (define @t281 () (not @t280))
% 50.07/50.33  (define @t282 () (or @t68 @t279))
% 50.07/50.33  (define @t283 () (not @t282))
% 50.07/50.33  (define @t284 () (or @t150 @t283 @t168 @t281 @t157))
% 50.07/50.33  (define @t285 () (and @t19 @t282 @t60 @t280 @t49))
% 50.07/50.33  (define @t286 () (forall @t20 (not @t285)))
% 50.07/50.33  (define @t287 () (not @t286))
% 50.07/50.33  (define @t288 () (forall @t32 (not @t53)))
% 50.07/50.33  (define @t289 () (not @t288))
% 50.07/50.33  (define @t290 () (forall @t32 (not @t63)))
% 50.07/50.33  (define @t291 () (not @t290))
% 50.07/50.33  (define @t292 () (forall @t20 (not @t80)))
% 50.07/50.33  (define @t293 () (not @t292))
% 50.07/50.33  (define @t294 () (forall @t20 (not @t85)))
% 50.07/50.33  (define @t295 () (not @t294))
% 50.07/50.33  (define @t296 () (not (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR @t18)))
% 50.07/50.33  (define @t297 () (not (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR @t18)))
% 50.07/50.33  (define @t298 () (not (tptp.aReductOfIn0 @t18 tptp.xb tptp.xR)))
% 50.07/50.33  (define @t299 () (or (and @t298 (or @t161 (not (tptp.aReductOfIn0 @t159 tptp.xb tptp.xR)) @t160)) @t297))
% 50.07/50.33  (define @t300 () (not (= tptp.xb @t18)))
% 50.07/50.33  (define @t301 () (and @t300 @t299))
% 50.07/50.33  (define @t302 () (not (tptp.sdtmndtasgtdt0 tptp.xd tptp.xR @t18)))
% 50.07/50.33  (define @t303 () (not (tptp.sdtmndtplgtdt0 tptp.xd tptp.xR @t18)))
% 50.07/50.33  (define @t304 () (not (tptp.aReductOfIn0 @t18 tptp.xd tptp.xR)))
% 50.07/50.33  (define @t305 () (or (and @t304 (or @t172 (not (tptp.aReductOfIn0 @t170 tptp.xd tptp.xR)) @t171)) @t303))
% 50.07/50.33  (define @t306 () (not (= tptp.xd @t18)))
% 50.07/50.33  (define @t307 () (and @t306 @t305))
% 50.07/50.33  (define @t308 () (or @t150 @t307 @t302 @t301 @t296))
% 50.07/50.33  (define @t309 () (forall @t180 @t308))
% 50.07/50.33  (define @t310 () (not @t309))
% 50.07/50.33  (define @t311 () (tptp.iLess0 tptp.xu tptp.xa))
% 50.07/50.33  (define @t312 () (not @t311))
% 50.07/50.33  (define @t313 () (not @t95))
% 50.07/50.33  (define @t314 () (not @t96))
% 50.07/50.33  (define @t315 () (not @t100))
% 50.07/50.33  (define @t316 () (not @t72))
% 50.07/50.33  (define @t317 () (or @t316 @t315 (not (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR tptp.xb))))
% 50.07/50.33  (define @t318 () (not @t103))
% 50.07/50.33  (define @t319 () (and @t318 @t315 @t317 @t314 @t313))
% 50.07/50.33  (define @t320 () (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xd))
% 50.07/50.33  (define @t321 () (not @t320))
% 50.07/50.33  (define @t322 () (tptp.sdtmndtplgtdt0 tptp.xu tptp.xR tptp.xd))
% 50.07/50.33  (define @t323 () (not @t322))
% 50.07/50.33  (define @t324 () (not (tptp.sdtmndtplgtdt0 tptp.xR tptp.xR tptp.xd)))
% 50.07/50.33  (define @t325 () (not (tptp.aElement0 tptp.xR)))
% 50.07/50.33  (define @t326 () (and (not (= tptp.xu tptp.xd)) (not (tptp.aReductOfIn0 tptp.xd tptp.xu tptp.xR)) (or @t325 (not (tptp.aReductOfIn0 tptp.xR tptp.xu tptp.xR)) @t324) @t323 @t321))
% 50.07/50.33  (define @t327 () (not @t130))
% 50.07/50.33  (define @t328 () (not @t106))
% 50.07/50.33  (define @t329 () (or @t328 @t327 @t316 @t326 @t319 @t312 @t310))
% 50.07/50.33  (define @t330 () (not (= @t18 tptp.xb)))
% 50.07/50.33  (define @t331 () (and @t330 @t299))
% 50.07/50.33  (define @t332 () (not (= @t18 tptp.xd)))
% 50.07/50.33  (define @t333 () (and @t332 @t305))
% 50.07/50.33  (define @t334 () (or @t150 @t333 @t302 @t331 @t296))
% 50.07/50.33  (define @t335 () (forall @t180 @t334))
% 50.07/50.33  (define @t336 () (not @t335))
% 50.07/50.33  (define @t337 () (= tptp.xb tptp.xu))
% 50.07/50.33  (define @t338 () (not @t337))
% 50.07/50.33  (define @t339 () (and @t338 @t315 @t317 @t314 @t313))
% 50.07/50.33  (define @t340 () (or @t328 @t327 @t316 @t326 @t339 @t312 @t336))
% 50.07/50.33  (define @t341 () (@list false))
% 50.07/50.33  (define @t342 () (not @t131))
% 50.07/50.33  (define @t343 () (not @t132))
% 50.07/50.33  (define @t344 () (@var "BOUND_VARIABLE_8190" $$unsorted))
% 50.07/50.33  (define @t345 () (or (not (tptp.aElement0 @t344)) (not (tptp.aReductOfIn0 @t344 tptp.xd tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t344 tptp.xR @t1))))
% 50.07/50.33  (define @t346 () (not @t118))
% 50.07/50.33  (define @t347 () (= @t1 tptp.xd))
% 50.07/50.33  (define @t348 () (not @t347))
% 50.07/50.33  (define @t349 () (and @t348 @t346 @t345 @t343 @t342))
% 50.07/50.33  (define @t350 () (not @t138))
% 50.07/50.33  (define @t351 () (not @t139))
% 50.07/50.33  (define @t352 () (@var "BOUND_VARIABLE_8180" $$unsorted))
% 50.07/50.33  (define @t353 () (or (not (tptp.aElement0 @t352)) (not (tptp.aReductOfIn0 @t352 tptp.xb tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t352 tptp.xR @t1))))
% 50.07/50.33  (define @t354 () (not @t143))
% 50.07/50.33  (define @t355 () (= @t1 tptp.xb))
% 50.07/50.33  (define @t356 () (not @t355))
% 50.07/50.33  (define @t357 () (and @t356 @t354 @t353 @t351 @t350))
% 50.07/50.33  (define @t358 () (or @t153 @t357 @t349))
% 50.07/50.33  (define @t359 () (forall (@list @t1 @t352 @t344) @t358))
% 50.07/50.33  (define @t360 () (forall (@list @t352 @t344) @t358))
% 50.07/50.33  (define @t361 () (@list @t344))
% 50.07/50.33  (define @t362 () (forall @t361 @t342))
% 50.07/50.33  (define @t363 () (forall @t361 @t343))
% 50.07/50.33  (define @t364 () (forall @t361 @t345))
% 50.07/50.33  (define @t365 () (@list @t7))
% 50.07/50.33  (define @t366 () (forall @t361 @t346))
% 50.07/50.33  (define @t367 () (forall @t361 @t348))
% 50.07/50.33  (define @t368 () (and @t367 @t366 @t364 @t363 @t362))
% 50.07/50.33  (define @t369 () (forall @t361 @t349))
% 50.07/50.33  (define @t370 () (@list @t352))
% 50.07/50.33  (define @t371 () (forall @t370 @t350))
% 50.07/50.33  (define @t372 () (forall @t370 @t351))
% 50.07/50.33  (define @t373 () (forall @t370 @t353))
% 50.07/50.33  (define @t374 () (forall @t370 @t354))
% 50.07/50.33  (define @t375 () (forall @t370 @t356))
% 50.07/50.33  (define @t376 () (and @t375 @t374 @t373 @t372 @t371))
% 50.07/50.33  (define @t377 () (forall @t370 @t357))
% 50.07/50.33  (define @t378 () (or @t153 @t377 @t369))
% 50.07/50.33  (define @t379 () (not @t133))
% 50.07/50.33  (define @t380 () (not @t134))
% 50.07/50.33  (define @t381 () (or @t198 @t380 @t379))
% 50.07/50.33  (define @t382 () (forall @t36 @t381))
% 50.07/50.33  (define @t383 () (not @t140))
% 50.07/50.33  (define @t384 () (or @t198 @t383 @t379))
% 50.07/50.33  (define @t385 () (forall @t36 @t384))
% 50.07/50.33  (define @t386 () (not @t382))
% 50.07/50.33  (define @t387 () (not @t386))
% 50.07/50.33  (define @t388 () (and @t348 @t346 @t387 @t343 @t342))
% 50.07/50.33  (define @t389 () (not @t385))
% 50.07/50.33  (define @t390 () (not @t389))
% 50.07/50.33  (define @t391 () (and @t356 @t354 @t390 @t351 @t350))
% 50.07/50.33  (define @t392 () (or @t347 @t118 @t386 @t132 @t131))
% 50.07/50.33  (define @t393 () (not @t392))
% 50.07/50.33  (define @t394 () (or @t355 @t143 @t389 @t139 @t138))
% 50.07/50.33  (define @t395 () (not @t394))
% 50.07/50.33  (define @t396 () (or @t153 @t395 @t393))
% 50.07/50.33  (define @t397 () (and @t2 @t394 @t392))
% 50.07/50.33  (define @t398 () (forall @t3 (not @t397)))
% 50.07/50.33  (define @t399 () (not @t398))
% 50.07/50.33  (define @t400 () (forall @t36 (not @t135)))
% 50.07/50.33  (define @t401 () (not @t400))
% 50.07/50.33  (define @t402 () (forall @t36 (not @t141)))
% 50.07/50.33  (define @t403 () (not @t402))
% 50.07/50.33  (define @t404 () (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR tptp.xd))
% 50.07/50.33  (define @t405 () (not @t404))
% 50.07/50.33  (define @t406 () (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR tptp.xd))
% 50.07/50.33  (define @t407 () (not @t406))
% 50.07/50.33  (define @t408 () (not (tptp.aReductOfIn0 tptp.xR tptp.xb tptp.xR)))
% 50.07/50.33  (define @t409 () (or @t325 @t408 @t324))
% 50.07/50.33  (define @t410 () (not (tptp.aReductOfIn0 tptp.xd tptp.xb tptp.xR)))
% 50.07/50.33  (define @t411 () (and (not (= tptp.xb tptp.xd)) @t410 @t409 @t407 @t405))
% 50.07/50.33  (define @t412 () (or @t327 @t411))
% 50.07/50.33  (define @t413 () (not (tptp.sdtmndtasgtdt0 tptp.xd tptp.xR tptp.xd)))
% 50.07/50.33  (define @t414 () (not (tptp.sdtmndtplgtdt0 tptp.xd tptp.xR tptp.xd)))
% 50.07/50.33  (define @t415 () (not (tptp.aReductOfIn0 tptp.xR tptp.xd tptp.xR)))
% 50.07/50.33  (define @t416 () (or @t325 @t415 @t324))
% 50.07/50.33  (define @t417 () (not (tptp.aReductOfIn0 tptp.xd tptp.xd tptp.xR)))
% 50.07/50.33  (define @t418 () (not (= tptp.xd tptp.xd)))
% 50.07/50.33  (define @t419 () (and @t418 @t417 @t416 @t414 @t413))
% 50.07/50.33  (define @t420 () (not (= tptp.xd tptp.xb)))
% 50.07/50.33  (define @t421 () (and @t420 @t410 @t409 @t407 @t405))
% 50.07/50.33  (define @t422 () (or @t327 @t421 @t419))
% 50.07/50.33  (define @t423 () (@list @t359))
% 50.07/50.33  (define @t424 () (not @t411))
% 50.07/50.33  (define @t425 () (@list @t411))
% 50.07/50.33  (define @t426 () (not @t119))
% 50.07/50.33  (define @t427 () (not @t115))
% 50.07/50.33  (define @t428 () (and @t405 @t337 @t115 @t119))
% 50.07/50.33  (define @t429 () (not @t108))
% 50.07/50.33  (define @t430 () (not @t97))
% 50.07/50.33  (define @t431 () (or @t153 @t430 @t429))
% 50.07/50.33  (define @t432 () (forall @t3 (not @t110)))
% 50.07/50.33  (define @t433 () (not @t432))
% 50.07/50.33  (define @t434 () (and (or @t112 (not (forall @t3 @t431))) @t109))
% 50.07/50.33  (define @t435 () (not @t128))
% 50.07/50.33  (define @t436 () (not @t109))
% 50.07/50.33  (define @t437 () (= false true))
% 50.07/50.33  (define @t438 () (and @t109 @t337 @t128 @t407))
% 50.07/50.33  (define @t439 () (not @t121))
% 50.07/50.33  (define @t440 () (not @t122))
% 50.07/50.33  (define @t441 () (or @t153 @t440 @t439))
% 50.07/50.33  (define @t442 () (forall @t3 (not @t123)))
% 50.07/50.33  (define @t443 () (not @t442))
% 50.07/50.33  (define @t444 () (and (or @t125 (not (forall @t3 @t441))) @t120))
% 50.07/50.33  (define @t445 () (not @t120))
% 50.07/50.33  (define @t446 () (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR tptp.xw))
% 50.07/50.33  (define @t447 () (not @t446))
% 50.07/50.33  (define @t448 () (not @t117))
% 50.07/50.33  (define @t449 () (not @t37))
% 50.07/50.33  (define @t450 () (or @t316 @t449 @t448 @t327 @t447 @t445 @t406))
% 50.07/50.33  (define @t451 () (and @t109 @t337))
% 50.07/50.33  (define @t452 () (not @t94))
% 50.07/50.33  (define @t453 () (or @t153 @t430 @t452))
% 50.07/50.33  (define @t454 () (forall @t3 (not @t98)))
% 50.07/50.33  (define @t455 () (not @t454))
% 50.07/50.33  (define @t456 () (and (or @t100 (not (forall @t3 @t453))) @t96))
% 50.07/50.33  (define @t457 () (@list true))
% 50.07/50.33  (define @t458 () (not @t339))
% 50.07/50.33  (define @t459 () (forall @t180 (or @t150 (and @t330 (or (and @t298 (or @t172 (not (tptp.aReductOfIn0 @t170 tptp.xb tptp.xR)) @t171)) @t297)) @t296 (and @t332 (or (and @t304 (or @t161 (not (tptp.aReductOfIn0 @t159 tptp.xd tptp.xR)) @t160)) @t303)) @t302)))
% 50.07/50.33  (define @t460 () (@quantifiers_skolemize @t459 0))
% 50.07/50.33  (define @t461 () (tptp.aElement0 @t460))
% 50.07/50.33  (define @t462 () (tptp.sdtmndtasgtdt0 tptp.xd tptp.xR @t460))
% 50.07/50.33  (define @t463 () (not @t462))
% 50.07/50.33  (define @t464 () (not (tptp.sdtmndtplgtdt0 tptp.xd tptp.xR @t460)))
% 50.07/50.33  (define @t465 () (@quantifiers_skolemize @t459 2))
% 50.07/50.33  (define @t466 () (not (tptp.aReductOfIn0 @t460 tptp.xd tptp.xR)))
% 50.07/50.33  (define @t467 () (or (and @t466 (or (not (tptp.aElement0 @t465)) (not (tptp.aReductOfIn0 @t465 tptp.xd tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t465 tptp.xR @t460)))) @t464))
% 50.07/50.33  (define @t468 () (not (= tptp.xd @t460)))
% 50.07/50.33  (define @t469 () (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR @t460))
% 50.07/50.33  (define @t470 () (not @t469))
% 50.07/50.33  (define @t471 () (not (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR @t460)))
% 50.07/50.33  (define @t472 () (@quantifiers_skolemize @t459 1))
% 50.07/50.33  (define @t473 () (not (tptp.aReductOfIn0 @t460 tptp.xb tptp.xR)))
% 50.07/50.33  (define @t474 () (or (and @t473 (or (not (tptp.aElement0 @t472)) (not (tptp.aReductOfIn0 @t472 tptp.xb tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t472 tptp.xR @t460)))) @t471))
% 50.07/50.33  (define @t475 () (not (= tptp.xb @t460)))
% 50.07/50.33  (define @t476 () (not @t461))
% 50.07/50.33  (define @t477 () (or @t476 (and @t475 @t474) @t470 (and @t468 @t467) @t463))
% 50.07/50.33  (define @t478 () (not (tptp.sdtmndtplgtdt0 tptp.xR tptp.xR @t460)))
% 50.07/50.33  (define @t479 () (or @t325 @t408 @t478))
% 50.07/50.33  (define @t480 () (and @t475 @t473 @t479 @t471 @t470))
% 50.07/50.33  (define @t481 () (or @t325 @t415 @t478))
% 50.07/50.33  (define @t482 () (and @t468 @t466 @t481 @t464 @t463))
% 50.07/50.33  (define @t483 () (not (= @t460 tptp.xd)))
% 50.07/50.33  (define @t484 () (and @t483 @t466 @t481 @t464 @t463))
% 50.07/50.33  (define @t485 () (not (= @t460 tptp.xb)))
% 50.07/50.33  (define @t486 () (and @t485 @t473 @t479 @t471 @t470))
% 50.07/50.33  (define @t487 () (or @t476 @t486 @t484))
% 50.07/50.33  (define @t488 () (or @t476 @t480 @t482))
% 50.07/50.33  (define @t489 () (not @t477))
% 50.07/50.33  (define @t490 () (not @t459))
% 50.07/50.33  (define @t491 () (and @t483 @t467))
% 50.07/50.33  (define @t492 () (and @t485 @t474))
% 50.07/50.33  (define @t493 () (or @t476 @t492 @t470 @t491 @t463))
% 50.07/50.33  (define @t494 () (not @t493))
% 50.07/50.33  (define @t495 () (or @t150 @t331 @t296 @t333 @t302))
% 50.07/50.33  (define @t496 () (forall @t180 @t495))
% 50.07/50.33  (define @t497 () (@var "BOUND_VARIABLE_36397" $$unsorted))
% 50.07/50.33  (define @t498 () (@var "BOUND_VARIABLE_36398" $$unsorted))
% 50.07/50.33  (define @t499 () (@var "BOUND_VARIABLE_36399" $$unsorted))
% 50.07/50.33  (define @t500 () (@list @t497 @t498 @t499))
% 50.07/50.33  (define @t501 () (@var "BOUND_VARIABLE_7988" $$unsorted))
% 50.07/50.33  (define @t502 () (or (not (tptp.aElement0 @t501)) (not (tptp.aReductOfIn0 @t501 @t1 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t501 tptp.xR @t7))))
% 50.07/50.33  (define @t503 () (and @t195 @t502 @t192))
% 50.07/50.33  (define @t504 () (or @t153 @t198 @t503 @t38))
% 50.07/50.33  (define @t505 () (@list @t501))
% 50.07/50.33  (define @t506 () (forall @t505 @t504))
% 50.07/50.33  (define @t507 () (forall @t505 @t192))
% 50.07/50.33  (define @t508 () (forall @t505 @t502))
% 50.07/50.33  (define @t509 () (forall @t505 @t195))
% 50.07/50.33  (define @t510 () (and @t509 @t508 @t507))
% 50.07/50.33  (define @t511 () (forall @t505 @t503))
% 50.07/50.33  (define @t512 () (or @t153 @t198 @t511 @t38))
% 50.07/50.33  (define @t513 () (not @t40))
% 50.07/50.33  (define @t514 () (or @t151 @t188 @t513))
% 50.07/50.33  (define @t515 () (forall @t9 @t514))
% 50.07/50.33  (define @t516 () (and @t195 @t515 @t192))
% 50.07/50.33  (define @t517 () (or @t153 @t198 @t516 @t38))
% 50.07/50.33  (define @t518 () (not @t515))
% 50.07/50.33  (define @t519 () (not @t518))
% 50.07/50.33  (define @t520 () (and @t195 @t519 @t192))
% 50.07/50.33  (define @t521 () (or @t44 @t518 @t39))
% 50.07/50.33  (define @t522 () (=> @t521 @t38))
% 50.07/50.33  (define @t523 () (forall @t9 (not @t42)))
% 50.07/50.33  (define @t524 () (not @t523))
% 50.07/50.33  (define @t525 () (not @t105))
% 50.07/50.33  (define @t526 () (and @t525 (or @t325 (not (tptp.aReductOfIn0 tptp.xR tptp.xa tptp.xR)) (not (tptp.sdtmndtplgtdt0 tptp.xR tptp.xR tptp.xu))) (not (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xu))))
% 50.07/50.33  (define @t527 () (not @t526))
% 50.07/50.33  (define @t528 () (not @t73))
% 50.07/50.33  (define @t529 () (or @t528 @t328 @t526 @t311))
% 50.07/50.33  (define @t530 () (not @t326))
% 50.07/50.33  (define @t531 () (@list @t326))
% 50.07/50.33  (define @t532 () (and @t115 @t119))
% 50.07/50.33  (define @t533 () (@list true false))
% 50.07/50.33  (define @t534 () (or @t328 @t449 @t448 @t327 @t436 @t445 @t322))
% 50.07/50.33  (define @t535 () (not @t534))
% 50.07/50.33  (define @t536 () (forall @t26 @t154))
% 50.07/50.33  (assume @p1 (forall @t3 (=> @t2 true)))
% 50.07/50.33  (assume @p2 (forall @t3 (=> @t4 true)))
% 50.07/50.33  (assume @p3 (forall @t12 (=> @t11 (forall @t9 (=> @t8 @t6)))))
% 50.07/50.33  (assume @p4 (forall @t12 (=> @t14 (=> (tptp.iLess0 @t1 @t7) true))))
% 50.07/50.33  (assume @p5 (forall @t17 (=> @t16 (=> @t15 true))))
% 50.07/50.33  (assume @p6 (forall @t17 (=> @t16 (= @t15 (or @t8 (exists @t20 (and @t19 (tptp.aReductOfIn0 @t18 @t1 @t7) (tptp.sdtmndtplgtdt0 @t18 @t7 @t5))))))))
% 50.07/50.33  (assume @p7 @t27)
% 50.07/50.33  (assume @p8 (forall @t17 (=> @t16 (= @t29 (or @t28 @t15)))))
% 50.07/50.33  (assume @p9 (forall @t26 (=> @t25 (=> (and @t29 (tptp.sdtmndtasgtdt0 @t5 @t7 @t18)) (tptp.sdtmndtasgtdt0 @t1 @t7 @t18)))))
% 50.07/50.33  (assume @p10 (forall @t3 (=> @t4 (= (tptp.isConfluent0 @t1) (forall @t34 (=> (and @t13 @t6 @t19 (tptp.sdtmndtasgtdt0 @t7 @t1 @t5) (tptp.sdtmndtasgtdt0 @t7 @t1 @t18)) @t33))))))
% 50.07/50.33  (assume @p11 (forall @t3 (=> @t4 (= (tptp.isLocallyConfluent0 @t1) (forall @t34 (=> (and @t13 @t6 @t19 (tptp.aReductOfIn0 @t5 @t7 @t1) (tptp.aReductOfIn0 @t18 @t7 @t1)) @t33))))))
% 50.07/50.33  (assume @p12 (forall @t3 (=> @t4 (= @t35 (forall (@list @t7 @t5) (=> (and @t13 @t6) (=> (tptp.sdtmndtplgtdt0 @t7 @t1 @t5) (tptp.iLess0 @t5 @t7))))))))
% 50.07/50.33  (assume @p13 (forall @t12 (=> @t11 (forall @t9 (= (tptp.aNormalFormOfIn0 @t5 @t1 @t7) (and @t6 @t29 (not (exists @t20 (tptp.aReductOfIn0 @t18 @t5 @t7)))))))))
% 50.07/50.33  (assume @p14 (forall @t3 (=> (and @t4 @t35) (forall @t36 (=> @t13 (exists @t9 (tptp.aNormalFormOfIn0 @t5 @t7 @t1)))))))
% 50.07/50.33  (assume @p15 @t37)
% 50.07/50.33  (assume @p16 (and (forall @t17 (=> (and @t2 @t13 @t6 @t44 @t41) @t71)) (tptp.isLocallyConfluent0 tptp.xR) @t48 (tptp.isTerminating0 tptp.xR)))
% 50.07/50.33  (assume @p17 (and @t73 @t72 (tptp.aElement0 tptp.xc)))
% 50.07/50.33  (assume @p18 @t91)
% 50.07/50.33  (assume @p19 (and (or (tptp.aReductOfIn0 tptp.xb tptp.xa tptp.xR) (exists @t3 (and @t2 @t93 @t94))) (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xb) (or (tptp.aReductOfIn0 tptp.xc tptp.xa tptp.xR) (exists @t3 (and @t2 @t93 @t92))) (tptp.sdtmndtplgtdt0 tptp.xa tptp.xR tptp.xc)))
% 50.07/50.33  (assume @p20 (and @t106 @t105 @t104 @t95))
% 50.07/50.33  (assume @p21 (and (tptp.aElement0 tptp.xv) (tptp.aReductOfIn0 tptp.xv tptp.xa tptp.xR) (or (= tptp.xv tptp.xc) (and (or (tptp.aReductOfIn0 tptp.xc tptp.xv tptp.xR) (exists @t3 (and @t2 @t107 @t92))) (tptp.sdtmndtplgtdt0 tptp.xv tptp.xR tptp.xc))) (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR tptp.xc)))
% 50.07/50.33  (assume @p22 (and @t117 @t116 (tptp.sdtmndtasgtdt0 tptp.xu tptp.xR tptp.xw) (or (= tptp.xv tptp.xw) (and (or (tptp.aReductOfIn0 tptp.xw tptp.xv tptp.xR) (exists @t3 (and @t2 @t107 @t108))) (tptp.sdtmndtplgtdt0 tptp.xv tptp.xR tptp.xw))) (tptp.sdtmndtasgtdt0 tptp.xv tptp.xR tptp.xw)))
% 50.07/50.33  (assume @p23 (and @t130 @t129 @t119 (not (exists @t3 @t118)) (tptp.aNormalFormOfIn0 tptp.xd tptp.xw tptp.xR)))
% 50.07/50.33  (assume @p24 @t147)
% 50.07/50.33  (assume @p25 true)
% 50.07/50.33  (step @p26 :rule aci_norm :args ((= (or @t156 @t155) @t154)))
% 50.07/50.33  (step @p27 :rule aci_norm :args ((= (or (or @t149 @t148) @t21) @t155)))
% 50.07/50.33  (step @p28 :rule refl :args (@t21))
% 50.07/50.33  (step @p29 :rule bool-and-de-morgan :args (@t15 @t22 true))
% 50.07/50.33  (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or (not @t23) @t21)))
% 50.07/50.33  (step @p31 :rule trans :premises (@p30 @p27))
% 50.07/50.33  (step @p32 :rule bool-impl-elim :args (@t23 @t21))
% 50.07/50.33  (step @p33 :rule trans :premises (@p32 @p31))
% 50.07/50.33  (step @p34 :rule aci_norm :args ((= (or @t153 (or @t152 (or @t151 @t150))) @t156)))
% 50.07/50.33  (step @p35 :rule bool-and-de-morgan :args (@t6 @t19 true))
% 50.07/50.33  (step @p36 :rule refl :args (@t152))
% 50.07/50.33  (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t152 (not (and @t6 @t19)))))
% 50.07/50.33  (step @p38 :rule bool-and-de-morgan :args (@t10 @t6 (and @t19)))
% 50.07/50.33  (step @p39 :rule trans :premises (@p38 @p37))
% 50.07/50.33  (step @p40 :rule refl :args (@t153))
% 50.07/50.33  (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t153 (not (and @t10 @t6 @t19)))))
% 50.07/50.33  (step @p42 :rule bool-and-de-morgan :args (@t2 @t10 (and @t6 @t19)))
% 50.07/50.33  (step @p43 :rule trans :premises (@p42 @p41))
% 50.07/50.33  (step @p44 :rule trans :premises (@p43 @p34))
% 50.07/50.33  (step @p45 :rule nary_cong :premises (@p44 @p33) :args ((or (not @t25) @t24)))
% 50.07/50.33  (step @p46 :rule trans :premises (@p45 @p26))
% 50.07/50.33  (step @p47 :rule bool-impl-elim :args (@t25 @t24))
% 50.07/50.33  (step @p48 :rule trans :premises (@p47 @p46))
% 50.07/50.33  (step @p49 :rule cong :premises (@p48) :args (@t27))
% 50.07/50.33  (step @p50 :rule eq_resolve :premises (@p7 @p49))
% 50.07/50.33  (step @p51 :rule quant-merge-prenex :args ((= (forall @t17 @t201) @t200)))
% 50.07/50.33  (step @p52 :rule refl :args (@t182))
% 50.07/50.33  (step @p53 :rule refl :args (@t183))
% 50.07/50.33  (step @p54 :rule quant-unused-vars :args ((= @t203 @t184)))
% 50.07/50.33  (step @p55 :rule quant-unused-vars :args ((= @t204 @t185)))
% 50.07/50.33  (step @p56 :rule alpha_equiv :args (@t205 (@list @t186) @t206))
% 50.07/50.33  (step @p57 :rule quant-unused-vars :args ((= @t207 @t188)))
% 50.07/50.33  (step @p58 :rule quant-unused-vars :args ((= @t208 @t189)))
% 50.07/50.33  (step @p59 :rule nary_cong :premises (@p58 @p57 @p56 @p55 @p54) :args (@t209))
% 50.07/50.33  (step @p60 :rule quant-miniscope-and :args ((= @t210 @t209)))
% 50.07/50.33  (step @p61 :rule trans :premises (@p60 @p59))
% 50.07/50.33  (step @p62 :rule quant-unused-vars :args ((= @t212 @t191)))
% 50.07/50.33  (step @p63 :rule quant-unused-vars :args ((= @t213 @t192)))
% 50.07/50.33  (step @p64 :rule alpha_equiv :args (@t214 (@list @t193) @t206))
% 50.07/50.33  (step @p65 :rule quant-unused-vars :args ((= @t215 @t195)))
% 50.07/50.33  (step @p66 :rule quant-unused-vars :args ((= @t216 @t196)))
% 50.07/50.33  (step @p67 :rule nary_cong :premises (@p66 @p65 @p64 @p63 @p62) :args (@t217))
% 50.07/50.33  (step @p68 :rule quant-miniscope-and :args ((= @t218 @t217)))
% 50.07/50.33  (step @p69 :rule trans :premises (@p68 @p67))
% 50.07/50.33  (step @p70 :rule refl :args (@t151))
% 50.07/50.33  (step @p71 :rule refl :args (@t198))
% 50.07/50.33  (step @p72 :rule nary_cong :premises (@p40 @p71 @p70 @p69 @p61 @p53 @p52) :args (@t219))
% 50.07/50.33  (step @p73 :rule quant-miniscope-or :args ((= @t201 @t219)))
% 50.07/50.33  (step @p74 :rule trans :premises (@p73 @p72))
% 50.07/50.33  (step @p75 :rule symm :premises (@p74))
% 50.07/50.33  (step @p76 :rule cong :premises (@p75) :args ((forall @t17 @t229)))
% 50.07/50.33  (step @p77 :rule trans :premises (@p76 @p51))
% 50.07/50.33  (step @p78 :rule aci_norm :args ((= (or (or @t153 @t198 @t151 @t228 @t224) (or @t183 @t182)) @t229)))
% 50.07/50.33  (step @p79 :rule bool-impl-elim :args (@t74 @t182))
% 50.07/50.33  (step @p80 :rule refl :args (@t184))
% 50.07/50.33  (step @p81 :rule refl :args (@t185))
% 50.07/50.33  (step @p82 :rule bool-double-not-elim :args (@t223))
% 50.07/50.33  (step @p83 :rule refl :args (@t188))
% 50.07/50.33  (step @p84 :rule refl :args (@t189))
% 50.07/50.33  (step @p85 :rule nary_cong :premises (@p84 @p83 @p82 @p81 @p80) :args (@t232))
% 50.07/50.33  (step @p86 :rule aci_norm :args ((= (and @t189 (and @t188 (and @t231 (and @t185 @t184)))) @t232)))
% 50.07/50.33  (step @p87 :rule trans :premises (@p86 @p85))
% 50.07/50.33  (step @p88 :rule bool-or-de-morgan :args (@t77 @t76 false))
% 50.07/50.33  (step @p89 :rule refl :args (@t231))
% 50.07/50.33  (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((and @t231 (not (or @t77 @t76)))))
% 50.07/50.33  (step @p91 :rule bool-or-de-morgan :args (@t230 @t77 (or @t76)))
% 50.07/50.33  (step @p92 :rule trans :premises (@p91 @p90))
% 50.07/50.33  (step @p93 :rule nary_cong :premises (@p83 @p92) :args ((and @t188 (not (or @t230 @t77 @t76)))))
% 50.07/50.33  (step @p94 :rule bool-or-de-morgan :args (@t41 @t230 (or @t77 @t76)))
% 50.07/50.33  (step @p95 :rule trans :premises (@p94 @p93))
% 50.07/50.33  (step @p96 :rule nary_cong :premises (@p84 @p95) :args ((and @t189 (not (or @t41 @t230 @t77 @t76)))))
% 50.07/50.33  (step @p97 :rule bool-or-de-morgan :args (@t28 @t41 (or @t230 @t77 @t76)))
% 50.07/50.33  (step @p98 :rule trans :premises (@p97 @p96))
% 50.07/50.33  (step @p99 :rule trans :premises (@p98 @p87))
% 50.07/50.33  (step @p100 :rule refl :args (@t191))
% 50.07/50.33  (step @p101 :rule refl :args (@t192))
% 50.07/50.33  (step @p102 :rule bool-double-not-elim :args (@t227))
% 50.07/50.33  (step @p103 :rule refl :args (@t195))
% 50.07/50.33  (step @p104 :rule refl :args (@t196))
% 50.07/50.33  (step @p105 :rule nary_cong :premises (@p104 @p103 @p102 @p101 @p100) :args (@t235))
% 50.07/50.33  (step @p106 :rule aci_norm :args ((= (and @t196 (and @t195 (and @t234 (and @t192 @t191)))) @t235)))
% 50.07/50.33  (step @p107 :rule trans :premises (@p106 @p105))
% 50.07/50.33  (step @p108 :rule bool-or-de-morgan :args (@t39 @t83 false))
% 50.07/50.33  (step @p109 :rule refl :args (@t234))
% 50.07/50.33  (step @p110 :rule nary_cong :premises (@p109 @p108) :args ((and @t234 (not (or @t39 @t83)))))
% 50.07/50.33  (step @p111 :rule bool-or-de-morgan :args (@t233 @t39 (or @t83)))
% 50.07/50.33  (step @p112 :rule trans :premises (@p111 @p110))
% 50.07/50.33  (step @p113 :rule nary_cong :premises (@p103 @p112) :args ((and @t195 (not (or @t233 @t39 @t83)))))
% 50.07/50.33  (step @p114 :rule bool-or-de-morgan :args (@t44 @t233 (or @t39 @t83)))
% 50.07/50.33  (step @p115 :rule trans :premises (@p114 @p113))
% 50.07/50.33  (step @p116 :rule nary_cong :premises (@p104 @p115) :args ((and @t196 (not (or @t44 @t233 @t39 @t83)))))
% 50.07/50.33  (step @p117 :rule bool-or-de-morgan :args (@t87 @t44 (or @t233 @t39 @t83)))
% 50.07/50.33  (step @p118 :rule trans :premises (@p117 @p116))
% 50.07/50.33  (step @p119 :rule trans :premises (@p118 @p107))
% 50.07/50.33  (step @p120 :rule nary_cong :premises (@p40 @p71 @p70 @p119 @p99) :args (@t240))
% 50.07/50.33  (step @p121 :rule aci_norm :args ((= (or @t153 (or @t198 (or @t151 (or @t239 @t237)))) @t240)))
% 50.07/50.33  (step @p122 :rule bool-and-de-morgan :args (@t238 @t236 true))
% 50.07/50.33  (step @p123 :rule nary_cong :premises (@p70 @p122) :args ((or @t151 (not (and @t238 @t236)))))
% 50.07/50.33  (step @p124 :rule bool-and-de-morgan :args (@t6 @t238 (and @t236)))
% 50.07/50.33  (step @p125 :rule trans :premises (@p124 @p123))
% 50.07/50.33  (step @p126 :rule nary_cong :premises (@p71 @p125) :args ((or @t198 (not (and @t6 @t238 @t236)))))
% 50.07/50.33  (step @p127 :rule bool-and-de-morgan :args (@t13 @t6 (and @t238 @t236)))
% 50.07/50.33  (step @p128 :rule trans :premises (@p127 @p126))
% 50.07/50.33  (step @p129 :rule nary_cong :premises (@p40 @p128) :args ((or @t153 (not (and @t13 @t6 @t238 @t236)))))
% 50.07/50.33  (step @p130 :rule bool-and-de-morgan :args (@t2 @t13 (and @t6 @t238 @t236)))
% 50.07/50.33  (step @p131 :rule trans :premises (@p130 @p129))
% 50.07/50.33  (step @p132 :rule trans :premises (@p131 @p121))
% 50.07/50.33  (step @p133 :rule trans :premises (@p132 @p120))
% 50.07/50.33  (step @p134 :rule nary_cong :premises (@p133 @p79) :args ((or (not @t242) @t241)))
% 50.07/50.33  (step @p135 :rule trans :premises (@p134 @p78))
% 50.07/50.33  (step @p136 :rule bool-impl-elim :args (@t242 @t241))
% 50.07/50.33  (step @p137 :rule trans :premises (@p136 @p135))
% 50.07/50.33  (step @p138 :rule cong :premises (@p137) :args ((forall @t17 (=> @t242 @t241))))
% 50.07/50.33  (step @p139 :rule trans :premises (@p138 @p77))
% 50.07/50.33  (step @p140 :rule quant-merge-prenex :args ((= (forall @t20 @t243) @t181)))
% 50.07/50.33  (step @p141 :rule refl :args (@t157))
% 50.07/50.33  (step @p142 :rule refl :args (@t158))
% 50.07/50.33  (step @p143 :rule alpha_equiv :args (@t245 (@list @t159) @t246))
% 50.07/50.33  (step @p144 :rule quant-unused-vars :args ((= @t247 @t163)))
% 50.07/50.33  (step @p145 :rule nary_cong :premises (@p144 @p143) :args (@t248))
% 50.07/50.33  (step @p146 :rule quant-miniscope-and :args ((= @t249 @t248)))
% 50.07/50.33  (step @p147 :rule trans :premises (@p146 @p145))
% 50.07/50.33  (step @p148 :rule nary_cong :premises (@p147 @p142) :args (@t250))
% 50.07/50.33  (step @p149 :rule quant-miniscope-or :args ((= @t251 @t250)))
% 50.07/50.33  (step @p150 :rule trans :premises (@p149 @p148))
% 50.07/50.33  (step @p151 :rule quant-unused-vars :args ((= @t252 @t166)))
% 50.07/50.33  (step @p152 :rule nary_cong :premises (@p151 @p150) :args (@t253))
% 50.07/50.33  (step @p153 :rule quant-miniscope-and :args ((= @t254 @t253)))
% 50.07/50.33  (step @p154 :rule trans :premises (@p153 @p152))
% 50.07/50.33  (step @p155 :rule refl :args (@t168))
% 50.07/50.33  (step @p156 :rule refl :args (@t169))
% 50.07/50.33  (step @p157 :rule alpha_equiv :args (@t256 (@list @t170) @t246))
% 50.07/50.33  (step @p158 :rule quant-unused-vars :args ((= @t257 @t174)))
% 50.07/50.33  (step @p159 :rule nary_cong :premises (@p158 @p157) :args (@t258))
% 50.07/50.33  (step @p160 :rule quant-miniscope-and :args ((= @t259 @t258)))
% 50.07/50.33  (step @p161 :rule trans :premises (@p160 @p159))
% 50.07/50.33  (step @p162 :rule nary_cong :premises (@p161 @p156) :args (@t260))
% 50.07/50.33  (step @p163 :rule quant-miniscope-or :args ((= @t261 @t260)))
% 50.07/50.33  (step @p164 :rule trans :premises (@p163 @p162))
% 50.07/50.33  (step @p165 :rule quant-unused-vars :args ((= @t262 @t177)))
% 50.07/50.33  (step @p166 :rule nary_cong :premises (@p165 @p164) :args (@t263))
% 50.07/50.33  (step @p167 :rule quant-miniscope-and :args ((= @t264 @t263)))
% 50.07/50.33  (step @p168 :rule trans :premises (@p167 @p166))
% 50.07/50.33  (step @p169 :rule refl :args (@t150))
% 50.07/50.33  (step @p170 :rule nary_cong :premises (@p169 @p168 @p155 @p154 @p141) :args (@t265))
% 50.07/50.33  (step @p171 :rule quant-miniscope-or :args ((= @t243 @t265)))
% 50.07/50.33  (step @p172 :rule trans :premises (@p171 @p170))
% 50.07/50.33  (step @p173 :rule symm :premises (@p172))
% 50.07/50.33  (step @p174 :rule cong :premises (@p173) :args ((forall @t20 (or @t150 (and @t177 (or (and @t174 @t273) @t169)) @t168 (and @t166 (or (and @t163 @t270) @t158)) @t157))))
% 50.07/50.33  (step @p175 :rule trans :premises (@p174 @p140))
% 50.07/50.33  (step @p176 :rule bool-double-not-elim :args (@t270))
% 50.07/50.33  (step @p177 :rule refl :args (@t163))
% 50.07/50.33  (step @p178 :rule nary_cong :premises (@p177 @p176) :args ((and @t163 (not @t274))))
% 50.07/50.33  (step @p179 :rule bool-or-de-morgan :args (@t55 @t274 false))
% 50.07/50.33  (step @p180 :rule trans :premises (@p179 @p178))
% 50.07/50.33  (step @p181 :rule nary_cong :premises (@p180 @p142) :args ((or (not @t275) @t158)))
% 50.07/50.33  (step @p182 :rule bool-and-de-morgan :args (@t275 @t50 true))
% 50.07/50.33  (step @p183 :rule trans :premises (@p182 @p181))
% 50.07/50.33  (step @p184 :rule refl :args (@t166))
% 50.07/50.33  (step @p185 :rule nary_cong :premises (@p184 @p183) :args ((and @t166 (not @t276))))
% 50.07/50.33  (step @p186 :rule bool-or-de-morgan :args (@t58 @t276 false))
% 50.07/50.33  (step @p187 :rule trans :premises (@p186 @p185))
% 50.07/50.33  (step @p188 :rule bool-double-not-elim :args (@t273))
% 50.07/50.33  (step @p189 :rule refl :args (@t174))
% 50.07/50.33  (step @p190 :rule nary_cong :premises (@p189 @p188) :args ((and @t174 (not @t277))))
% 50.07/50.33  (step @p191 :rule bool-or-de-morgan :args (@t65 @t277 false))
% 50.07/50.33  (step @p192 :rule trans :premises (@p191 @p190))
% 50.07/50.33  (step @p193 :rule nary_cong :premises (@p192 @p156) :args ((or (not @t278) @t169)))
% 50.07/50.33  (step @p194 :rule bool-and-de-morgan :args (@t278 @t61 true))
% 50.07/50.33  (step @p195 :rule trans :premises (@p194 @p193))
% 50.07/50.33  (step @p196 :rule refl :args (@t177))
% 50.07/50.33  (step @p197 :rule nary_cong :premises (@p196 @p195) :args ((and @t177 (not @t279))))
% 50.07/50.33  (step @p198 :rule bool-or-de-morgan :args (@t68 @t279 false))
% 50.07/50.33  (step @p199 :rule trans :premises (@p198 @p197))
% 50.07/50.33  (step @p200 :rule nary_cong :premises (@p169 @p199 @p155 @p187 @p141) :args (@t284))
% 50.07/50.33  (step @p201 :rule aci_norm :args ((= (or @t150 (or @t283 (or @t168 (or @t281 @t157)))) @t284)))
% 50.07/50.33  (step @p202 :rule bool-and-de-morgan :args (@t280 @t49 true))
% 50.07/50.33  (step @p203 :rule nary_cong :premises (@p155 @p202) :args ((or @t168 (not (and @t280 @t49)))))
% 50.07/50.33  (step @p204 :rule bool-and-de-morgan :args (@t60 @t280 (and @t49)))
% 50.07/50.33  (step @p205 :rule trans :premises (@p204 @p203))
% 50.07/50.33  (step @p206 :rule refl :args (@t283))
% 50.07/50.33  (step @p207 :rule nary_cong :premises (@p206 @p205) :args ((or @t283 (not (and @t60 @t280 @t49)))))
% 50.07/50.33  (step @p208 :rule bool-and-de-morgan :args (@t282 @t60 (and @t280 @t49)))
% 50.07/50.33  (step @p209 :rule trans :premises (@p208 @p207))
% 50.07/50.33  (step @p210 :rule nary_cong :premises (@p169 @p209) :args ((or @t150 (not (and @t282 @t60 @t280 @t49)))))
% 50.07/50.33  (step @p211 :rule bool-and-de-morgan :args (@t19 @t282 (and @t60 @t280 @t49)))
% 50.07/50.33  (step @p212 :rule trans :premises (@p211 @p210))
% 50.07/50.33  (step @p213 :rule trans :premises (@p212 @p201))
% 50.07/50.33  (step @p214 :rule trans :premises (@p213 @p200))
% 50.07/50.33  (step @p215 :rule cong :premises (@p214) :args (@t286))
% 50.07/50.33  (step @p216 :rule trans :premises (@p215 @p175))
% 50.07/50.33  (step @p217 :rule cong :premises (@p216) :args (@t287))
% 50.07/50.33  (step @p218 :rule exists-elim :args ((= (exists @t20 @t285) @t287)))
% 50.07/50.33  (step @p219 :rule trans :premises (@p218 @p217))
% 50.07/50.33  (step @p220 :rule refl :args (@t49))
% 50.07/50.33  (step @p221 :rule refl :args (@t50))
% 50.07/50.33  (step @p222 :rule aci_norm :args ((= (or @t268 (or @t267 @t266)) @t269)))
% 50.07/50.33  (step @p223 :rule bool-and-de-morgan :args (@t52 @t51 true))
% 50.07/50.33  (step @p224 :rule refl :args (@t268))
% 50.07/50.33  (step @p225 :rule nary_cong :premises (@p224 @p223) :args ((or @t268 (not (and @t52 @t51)))))
% 50.07/50.33  (step @p226 :rule bool-and-de-morgan :args (@t31 @t52 (and @t51)))
% 50.07/50.33  (step @p227 :rule trans :premises (@p226 @p225))
% 50.07/50.33  (step @p228 :rule trans :premises (@p227 @p222))
% 50.07/50.33  (step @p229 :rule cong :premises (@p228) :args (@t288))
% 50.07/50.33  (step @p230 :rule cong :premises (@p229) :args (@t289))
% 50.07/50.33  (step @p231 :rule exists-elim :args ((= @t54 @t289)))
% 50.07/50.33  (step @p232 :rule trans :premises (@p231 @p230))
% 50.07/50.33  (step @p233 :rule refl :args (@t55))
% 50.07/50.33  (step @p234 :rule nary_cong :premises (@p233 @p232) :args (@t56))
% 50.07/50.33  (step @p235 :rule nary_cong :premises (@p234 @p221) :args (@t57))
% 50.07/50.33  (step @p236 :rule refl :args (@t58))
% 50.07/50.33  (step @p237 :rule nary_cong :premises (@p236 @p235) :args (@t59))
% 50.07/50.33  (step @p238 :rule refl :args (@t60))
% 50.07/50.33  (step @p239 :rule refl :args (@t61))
% 50.07/50.33  (step @p240 :rule aci_norm :args ((= (or @t268 (or @t271 @t266)) @t272)))
% 50.07/50.33  (step @p241 :rule bool-and-de-morgan :args (@t62 @t51 true))
% 50.07/50.33  (step @p242 :rule nary_cong :premises (@p224 @p241) :args ((or @t268 (not (and @t62 @t51)))))
% 50.07/50.33  (step @p243 :rule bool-and-de-morgan :args (@t31 @t62 (and @t51)))
% 50.07/50.33  (step @p244 :rule trans :premises (@p243 @p242))
% 50.07/50.33  (step @p245 :rule trans :premises (@p244 @p240))
% 50.07/50.33  (step @p246 :rule cong :premises (@p245) :args (@t290))
% 50.07/50.33  (step @p247 :rule cong :premises (@p246) :args (@t291))
% 50.07/50.33  (step @p248 :rule exists-elim :args ((= @t64 @t291)))
% 50.07/50.33  (step @p249 :rule trans :premises (@p248 @p247))
% 50.07/50.33  (step @p250 :rule refl :args (@t65))
% 50.07/50.33  (step @p251 :rule nary_cong :premises (@p250 @p249) :args (@t66))
% 50.07/50.33  (step @p252 :rule nary_cong :premises (@p251 @p239) :args (@t67))
% 50.07/50.33  (step @p253 :rule refl :args (@t68))
% 50.07/50.33  (step @p254 :rule nary_cong :premises (@p253 @p252) :args (@t69))
% 50.07/50.33  (step @p255 :rule refl :args (@t19))
% 50.07/50.33  (step @p256 :rule nary_cong :premises (@p255 @p254 @p238 @p237 @p220) :args (@t70))
% 50.07/50.33  (step @p257 :rule cong :premises (@p256) :args (@t71))
% 50.07/50.33  (step @p258 :rule trans :premises (@p257 @p219))
% 50.07/50.33  (step @p259 :rule refl :args (@t74))
% 50.07/50.33  (step @p260 :rule cong :premises (@p259 @p258) :args (@t75))
% 50.07/50.33  (step @p261 :rule refl :args (@t76))
% 50.07/50.33  (step @p262 :rule refl :args (@t77))
% 50.07/50.33  (step @p263 :rule aci_norm :args ((= (or @t150 (or @t221 @t220)) @t222)))
% 50.07/50.33  (step @p264 :rule bool-and-de-morgan :args (@t79 @t78 true))
% 50.07/50.33  (step @p265 :rule nary_cong :premises (@p169 @p264) :args ((or @t150 (not (and @t79 @t78)))))
% 50.07/50.33  (step @p266 :rule bool-and-de-morgan :args (@t19 @t79 (and @t78)))
% 50.07/50.33  (step @p267 :rule trans :premises (@p266 @p265))
% 50.07/50.33  (step @p268 :rule trans :premises (@p267 @p263))
% 50.07/50.33  (step @p269 :rule cong :premises (@p268) :args (@t292))
% 50.07/50.33  (step @p270 :rule cong :premises (@p269) :args (@t293))
% 50.07/50.33  (step @p271 :rule exists-elim :args ((= @t81 @t293)))
% 50.07/50.33  (step @p272 :rule trans :premises (@p271 @p270))
% 50.07/50.33  (step @p273 :rule refl :args (@t41))
% 50.07/50.33  (step @p274 :rule refl :args (@t28))
% 50.07/50.33  (step @p275 :rule nary_cong :premises (@p274 @p273 @p272 @p262 @p261) :args (@t82))
% 50.07/50.33  (step @p276 :rule refl :args (@t83))
% 50.07/50.33  (step @p277 :rule refl :args (@t39))
% 50.07/50.33  (step @p278 :rule aci_norm :args ((= (or @t150 (or @t221 @t225)) @t226)))
% 50.07/50.33  (step @p279 :rule bool-and-de-morgan :args (@t79 @t84 true))
% 50.07/50.33  (step @p280 :rule nary_cong :premises (@p169 @p279) :args ((or @t150 (not (and @t79 @t84)))))
% 50.07/50.33  (step @p281 :rule bool-and-de-morgan :args (@t19 @t79 (and @t84)))
% 50.07/50.33  (step @p282 :rule trans :premises (@p281 @p280))
% 50.07/50.33  (step @p283 :rule trans :premises (@p282 @p278))
% 50.07/50.33  (step @p284 :rule cong :premises (@p283) :args (@t294))
% 50.07/50.33  (step @p285 :rule cong :premises (@p284) :args (@t295))
% 50.07/50.33  (step @p286 :rule exists-elim :args ((= @t86 @t295)))
% 50.07/50.33  (step @p287 :rule trans :premises (@p286 @p285))
% 50.07/50.33  (step @p288 :rule refl :args (@t44))
% 50.07/50.33  (step @p289 :rule refl :args (@t87))
% 50.07/50.33  (step @p290 :rule nary_cong :premises (@p289 @p288 @p287 @p277 @p276) :args (@t88))
% 50.07/50.33  (step @p291 :rule refl :args (@t6))
% 50.07/50.33  (step @p292 :rule refl :args (@t13))
% 50.07/50.33  (step @p293 :rule refl :args (@t2))
% 50.07/50.33  (step @p294 :rule nary_cong :premises (@p293 @p292 @p291 @p290 @p275) :args (@t89))
% 50.07/50.33  (step @p295 :rule cong :premises (@p294 @p260) :args (@t90))
% 50.07/50.33  (step @p296 :rule cong :premises (@p295) :args (@t91))
% 50.07/50.33  (step @p297 :rule trans :premises (@p296 @p139))
% 50.07/50.33  (step @p298 :rule eq_resolve :premises (@p18 @p297))
% 50.07/50.33  (step @p299 :rule refl :args (@t296))
% 50.07/50.33  (step @p300 :rule refl :args (@t299))
% 50.07/50.33  (step @p301 :rule eq-symm :args (tptp.xb @t18))
% 50.07/50.33  (step @p302 :rule cong :premises (@p301) :args (@t300))
% 50.07/50.33  (step @p303 :rule nary_cong :premises (@p302 @p300) :args (@t301))
% 50.07/50.33  (step @p304 :rule refl :args (@t302))
% 50.07/50.33  (step @p305 :rule refl :args (@t305))
% 50.07/50.33  (step @p306 :rule eq-symm :args (tptp.xd @t18))
% 50.07/50.33  (step @p307 :rule cong :premises (@p306) :args (@t306))
% 50.07/50.33  (step @p308 :rule nary_cong :premises (@p307 @p305) :args (@t307))
% 50.07/50.33  (step @p309 :rule refl :args (@t150))
% 50.07/50.33  (step @p310 :rule nary_cong :premises (@p309 @p308 @p304 @p303 @p299) :args (@t308))
% 50.07/50.33  (step @p311 :rule cong :premises (@p310) :args (@t309))
% 50.07/50.33  (step @p312 :rule cong :premises (@p311) :args (@t310))
% 50.07/50.33  (step @p313 :rule refl :args (@t312))
% 50.07/50.33  (step @p314 :rule refl :args (@t313))
% 50.07/50.33  (step @p315 :rule refl :args (@t314))
% 50.07/50.33  (step @p316 :rule refl :args (@t317))
% 50.07/50.33  (step @p317 :rule refl :args (@t315))
% 50.07/50.33  (step @p318 :rule eq-symm :args (tptp.xu tptp.xb))
% 50.07/50.33  (step @p319 :rule cong :premises (@p318) :args (@t318))
% 50.07/50.33  (step @p320 :rule nary_cong :premises (@p319 @p317 @p316 @p315 @p314) :args (@t319))
% 50.07/50.33  (step @p321 :rule refl :args (@t326))
% 50.07/50.33  (step @p322 :rule refl :args (@t316))
% 50.07/50.33  (step @p323 :rule refl :args (@t327))
% 50.07/50.33  (step @p324 :rule refl :args (@t328))
% 50.07/50.33  (step @p325 :rule nary_cong :premises (@p324 @p323 @p322 @p321 @p320 @p313 @p312) :args (@t329))
% 50.07/50.33  (step @p326 :rule refl :args (@t200))
% 50.07/50.33  (step @p327 :rule cong :premises (@p326 @p325) :args ((=> @t200 @t329)))
% 50.07/50.33  (assume-push @p862 @t200)
% 50.07/50.33  (step @p329 :rule instantiate :premises (@p298) :args ((@list tptp.xu tptp.xd tptp.xb tptp.xR tptp.xb)))
% 50.07/50.33  (step-pop @p863 :rule scope :premises (@p329))
% 50.07/50.33  (step @p330 :rule process_scope :premises (@p863) :args (@t329))
% 50.07/50.33  (step @p332 :rule eq_resolve :premises (@p330 @p327))
% 50.07/50.33  (step @p333 :rule implies_elim :premises (@p332))
% 50.07/50.33  (step @p334 :rule chain_m_resolution :premises (@p333 @p298) :args (@t340 @t341 (@list @t200)))
% 50.07/50.33  (step @p335 :rule and_elim :premises (@p23) :args (2))
% 50.07/50.33  (step @p336 :rule bool-double-not-elim :args (@t359))
% 50.07/50.33  (step @p337 :rule quant-merge-prenex :args ((= (forall @t3 @t360) @t359)))
% 50.07/50.33  (step @p338 :rule quant-unused-vars :args ((= @t362 @t342)))
% 50.07/50.33  (step @p339 :rule quant-unused-vars :args ((= @t363 @t343)))
% 50.07/50.33  (step @p340 :rule alpha_equiv :args (@t364 (@list @t344) @t365))
% 50.07/50.33  (step @p341 :rule quant-unused-vars :args ((= @t366 @t346)))
% 50.07/50.33  (step @p342 :rule quant-unused-vars :args ((= @t367 @t348)))
% 50.07/50.33  (step @p343 :rule nary_cong :premises (@p342 @p341 @p340 @p339 @p338) :args (@t368))
% 50.07/50.33  (step @p344 :rule quant-miniscope-and :args ((= @t369 @t368)))
% 50.07/50.33  (step @p345 :rule trans :premises (@p344 @p343))
% 50.07/50.33  (step @p346 :rule quant-unused-vars :args ((= @t371 @t350)))
% 50.07/50.33  (step @p347 :rule quant-unused-vars :args ((= @t372 @t351)))
% 50.07/50.33  (step @p348 :rule alpha_equiv :args (@t373 (@list @t352) @t365))
% 50.07/50.33  (step @p349 :rule quant-unused-vars :args ((= @t374 @t354)))
% 50.07/50.33  (step @p350 :rule quant-unused-vars :args ((= @t375 @t356)))
% 50.07/50.33  (step @p351 :rule nary_cong :premises (@p350 @p349 @p348 @p347 @p346) :args (@t376))
% 50.07/50.33  (step @p352 :rule quant-miniscope-and :args ((= @t377 @t376)))
% 50.07/50.33  (step @p353 :rule trans :premises (@p352 @p351))
% 50.07/50.33  (step @p354 :rule nary_cong :premises (@p40 @p353 @p345) :args (@t378))
% 50.07/50.33  (step @p355 :rule quant-miniscope-or :args ((= @t360 @t378)))
% 50.07/50.33  (step @p356 :rule trans :premises (@p355 @p354))
% 50.07/50.33  (step @p357 :rule symm :premises (@p356))
% 50.07/50.33  (step @p358 :rule cong :premises (@p357) :args ((forall @t3 (or @t153 (and @t356 @t354 @t385 @t351 @t350) (and @t348 @t346 @t382 @t343 @t342)))))
% 50.07/50.33  (step @p359 :rule trans :premises (@p358 @p337))
% 50.07/50.33  (step @p360 :rule refl :args (@t342))
% 50.07/50.33  (step @p361 :rule refl :args (@t343))
% 50.07/50.33  (step @p362 :rule bool-double-not-elim :args (@t382))
% 50.07/50.33  (step @p363 :rule refl :args (@t346))
% 50.07/50.33  (step @p364 :rule refl :args (@t348))
% 50.07/50.33  (step @p365 :rule nary_cong :premises (@p364 @p363 @p362 @p361 @p360) :args (@t388))
% 50.07/50.33  (step @p366 :rule aci_norm :args ((= (and @t348 (and @t346 (and @t387 (and @t343 @t342)))) @t388)))
% 50.07/50.33  (step @p367 :rule trans :premises (@p366 @p365))
% 50.07/50.33  (step @p368 :rule bool-or-de-morgan :args (@t132 @t131 false))
% 50.07/50.33  (step @p369 :rule refl :args (@t387))
% 50.07/50.33  (step @p370 :rule nary_cong :premises (@p369 @p368) :args ((and @t387 (not (or @t132 @t131)))))
% 50.07/50.33  (step @p371 :rule bool-or-de-morgan :args (@t386 @t132 (or @t131)))
% 50.07/50.33  (step @p372 :rule trans :premises (@p371 @p370))
% 50.07/50.33  (step @p373 :rule nary_cong :premises (@p363 @p372) :args ((and @t346 (not (or @t386 @t132 @t131)))))
% 50.07/50.33  (step @p374 :rule bool-or-de-morgan :args (@t118 @t386 (or @t132 @t131)))
% 50.07/50.33  (step @p375 :rule trans :premises (@p374 @p373))
% 50.07/50.33  (step @p376 :rule nary_cong :premises (@p364 @p375) :args ((and @t348 (not (or @t118 @t386 @t132 @t131)))))
% 50.07/50.33  (step @p377 :rule bool-or-de-morgan :args (@t347 @t118 (or @t386 @t132 @t131)))
% 50.07/50.33  (step @p378 :rule trans :premises (@p377 @p376))
% 50.07/50.33  (step @p379 :rule trans :premises (@p378 @p367))
% 50.07/50.33  (step @p380 :rule refl :args (@t350))
% 50.07/50.33  (step @p381 :rule refl :args (@t351))
% 50.07/50.33  (step @p382 :rule bool-double-not-elim :args (@t385))
% 50.07/50.33  (step @p383 :rule refl :args (@t354))
% 50.07/50.33  (step @p384 :rule refl :args (@t356))
% 50.07/50.33  (step @p385 :rule nary_cong :premises (@p384 @p383 @p382 @p381 @p380) :args (@t391))
% 50.07/50.33  (step @p386 :rule aci_norm :args ((= (and @t356 (and @t354 (and @t390 (and @t351 @t350)))) @t391)))
% 50.07/50.33  (step @p387 :rule trans :premises (@p386 @p385))
% 50.07/50.33  (step @p388 :rule bool-or-de-morgan :args (@t139 @t138 false))
% 50.07/50.33  (step @p389 :rule refl :args (@t390))
% 50.07/50.33  (step @p390 :rule nary_cong :premises (@p389 @p388) :args ((and @t390 (not (or @t139 @t138)))))
% 50.07/50.33  (step @p391 :rule bool-or-de-morgan :args (@t389 @t139 (or @t138)))
% 50.07/50.33  (step @p392 :rule trans :premises (@p391 @p390))
% 50.07/50.33  (step @p393 :rule nary_cong :premises (@p383 @p392) :args ((and @t354 (not (or @t389 @t139 @t138)))))
% 50.07/50.33  (step @p394 :rule bool-or-de-morgan :args (@t143 @t389 (or @t139 @t138)))
% 50.07/50.33  (step @p395 :rule trans :premises (@p394 @p393))
% 50.07/50.33  (step @p396 :rule nary_cong :premises (@p384 @p395) :args ((and @t356 (not (or @t143 @t389 @t139 @t138)))))
% 50.07/50.33  (step @p397 :rule bool-or-de-morgan :args (@t355 @t143 (or @t389 @t139 @t138)))
% 50.07/50.33  (step @p398 :rule trans :premises (@p397 @p396))
% 50.07/50.33  (step @p399 :rule trans :premises (@p398 @p387))
% 50.07/50.33  (step @p400 :rule nary_cong :premises (@p40 @p399 @p379) :args (@t396))
% 50.07/50.33  (step @p401 :rule aci_norm :args ((= (or @t153 (or @t395 @t393)) @t396)))
% 50.07/50.33  (step @p402 :rule bool-and-de-morgan :args (@t394 @t392 true))
% 50.07/50.33  (step @p403 :rule nary_cong :premises (@p40 @p402) :args ((or @t153 (not (and @t394 @t392)))))
% 50.07/50.33  (step @p404 :rule bool-and-de-morgan :args (@t2 @t394 (and @t392)))
% 50.07/50.33  (step @p405 :rule trans :premises (@p404 @p403))
% 50.07/50.33  (step @p406 :rule trans :premises (@p405 @p401))
% 50.07/50.33  (step @p407 :rule trans :premises (@p406 @p400))
% 50.07/50.33  (step @p408 :rule cong :premises (@p407) :args (@t398))
% 50.07/50.33  (step @p409 :rule trans :premises (@p408 @p359))
% 50.07/50.33  (step @p410 :rule cong :premises (@p409) :args (@t399))
% 50.07/50.33  (step @p411 :rule exists-elim :args ((= (exists @t3 @t397) @t399)))
% 50.07/50.33  (step @p412 :rule trans :premises (@p411 @p410))
% 50.07/50.33  (step @p413 :rule refl :args (@t131))
% 50.07/50.33  (step @p414 :rule refl :args (@t132))
% 50.07/50.33  (step @p415 :rule aci_norm :args ((= (or @t198 (or @t380 @t379)) @t381)))
% 50.07/50.33  (step @p416 :rule bool-and-de-morgan :args (@t134 @t133 true))
% 50.07/50.33  (step @p417 :rule nary_cong :premises (@p71 @p416) :args ((or @t198 (not (and @t134 @t133)))))
% 50.07/50.33  (step @p418 :rule bool-and-de-morgan :args (@t13 @t134 (and @t133)))
% 50.07/50.33  (step @p419 :rule trans :premises (@p418 @p417))
% 50.07/50.33  (step @p420 :rule trans :premises (@p419 @p415))
% 50.07/50.33  (step @p421 :rule cong :premises (@p420) :args (@t400))
% 50.07/50.33  (step @p422 :rule cong :premises (@p421) :args (@t401))
% 50.07/50.33  (step @p423 :rule exists-elim :args ((= @t136 @t401)))
% 50.07/50.33  (step @p424 :rule trans :premises (@p423 @p422))
% 50.07/50.33  (step @p425 :rule refl :args (@t118))
% 50.07/50.33  (step @p426 :rule eq-symm :args (tptp.xd @t1))
% 50.07/50.33  (step @p427 :rule nary_cong :premises (@p426 @p425 @p424 @p414 @p413) :args (@t137))
% 50.07/50.33  (step @p428 :rule refl :args (@t138))
% 50.07/50.33  (step @p429 :rule refl :args (@t139))
% 50.07/50.33  (step @p430 :rule aci_norm :args ((= (or @t198 (or @t383 @t379)) @t384)))
% 50.07/50.33  (step @p431 :rule bool-and-de-morgan :args (@t140 @t133 true))
% 50.07/50.33  (step @p432 :rule nary_cong :premises (@p71 @p431) :args ((or @t198 (not (and @t140 @t133)))))
% 50.07/50.33  (step @p433 :rule bool-and-de-morgan :args (@t13 @t140 (and @t133)))
% 50.07/50.33  (step @p434 :rule trans :premises (@p433 @p432))
% 50.07/50.33  (step @p435 :rule trans :premises (@p434 @p430))
% 50.07/50.33  (step @p436 :rule cong :premises (@p435) :args (@t402))
% 50.07/50.33  (step @p437 :rule cong :premises (@p436) :args (@t403))
% 50.07/50.33  (step @p438 :rule exists-elim :args ((= @t142 @t403)))
% 50.07/50.33  (step @p439 :rule trans :premises (@p438 @p437))
% 50.07/50.33  (step @p440 :rule refl :args (@t143))
% 50.07/50.33  (step @p441 :rule eq-symm :args (tptp.xb @t1))
% 50.07/50.33  (step @p442 :rule nary_cong :premises (@p441 @p440 @p439 @p429 @p428) :args (@t144))
% 50.07/50.33  (step @p443 :rule nary_cong :premises (@p293 @p442 @p427) :args (@t145))
% 50.07/50.33  (step @p444 :rule cong :premises (@p443) :args (@t146))
% 50.07/50.33  (step @p445 :rule trans :premises (@p444 @p412))
% 50.07/50.33  (step @p446 :rule cong :premises (@p445) :args (@t147))
% 50.07/50.33  (step @p447 :rule trans :premises (@p446 @p336))
% 50.07/50.33  (step @p448 :rule eq_resolve :premises (@p24 @p447))
% 50.07/50.33  (step @p449 :rule aci_norm :args ((= (or @t327 @t411 false) @t412)))
% 50.07/50.33  (step @p450 :rule absorb :args ((= (and false @t417 @t416 @t414 @t413) false)))
% 50.07/50.33  (step @p451 :rule refl :args (@t413))
% 50.07/50.33  (step @p452 :rule refl :args (@t414))
% 50.07/50.33  (step @p453 :rule refl :args (@t416))
% 50.07/50.33  (step @p454 :rule refl :args (@t417))
% 50.07/50.33  (step @p455 :rule evaluate :args ((not true)))
% 50.07/50.33  (step @p456 :rule eq-refl :args (tptp.xd))
% 50.07/50.33  (step @p457 :rule cong :premises (@p456) :args (@t418))
% 50.07/50.33  (step @p458 :rule trans :premises (@p457 @p455))
% 50.07/50.33  (step @p459 :rule nary_cong :premises (@p458 @p454 @p453 @p452 @p451) :args (@t419))
% 50.07/50.33  (step @p460 :rule trans :premises (@p459 @p450))
% 50.07/50.33  (step @p461 :rule refl :args (@t405))
% 50.07/50.33  (step @p462 :rule refl :args (@t407))
% 50.07/50.33  (step @p463 :rule refl :args (@t409))
% 50.07/50.33  (step @p464 :rule refl :args (@t410))
% 50.07/50.33  (step @p465 :rule eq-symm :args (tptp.xd tptp.xb))
% 50.07/50.33  (step @p466 :rule cong :premises (@p465) :args (@t420))
% 50.07/50.33  (step @p467 :rule nary_cong :premises (@p466 @p464 @p463 @p462 @p461) :args (@t421))
% 50.07/50.33  (step @p468 :rule nary_cong :premises (@p323 @p467 @p460) :args (@t422))
% 50.07/50.33  (step @p469 :rule trans :premises (@p468 @p449))
% 50.07/50.33  (step @p470 :rule refl :args (@t359))
% 50.07/50.33  (step @p471 :rule cong :premises (@p470 @p469) :args ((=> @t359 @t422)))
% 50.07/50.33  (assume-push @p864 @t359)
% 50.07/50.33  (step @p473 :rule instantiate :premises (@p448) :args ((@list tptp.xd tptp.xR tptp.xR)))
% 50.07/50.33  (step-pop @p865 :rule scope :premises (@p473))
% 50.07/50.33  (step @p474 :rule process_scope :premises (@p865) :args (@t422))
% 50.07/50.33  (step @p476 :rule eq_resolve :premises (@p474 @p471))
% 50.07/50.33  (step @p477 :rule implies_elim :premises (@p476))
% 50.07/50.33  (step @p478 :rule chain_m_resolution :premises (@p477 @p448) :args (@t412 @t341 @t423))
% 50.07/50.33  (step @p479 :rule and_elim :premises (@p23) :args (0))
% 50.07/50.33  (step @p480 :rule cnf_or_pos :args (@t412))
% 50.07/50.33  (step @p481 :rule reordering :premises (@p480) :args ((or @t327 @t411 (not @t412))))
% 50.07/50.33  (step @p482 :rule chain_m_resolution :premises (@p481 @p479 @p478) :args (@t411 (@list false false) (@list @t130 @t412)))
% 50.07/50.33  (step @p483 :rule cnf_and_pos :args (@t411 4))
% 50.07/50.33  (step @p484 :rule reordering :premises (@p483) :args ((or @t405 @t424)))
% 50.07/50.33  (step @p485 :rule chain_m_resolution :premises (@p484 @p482) :args (@t405 @t341 @t425))
% 50.07/50.33  (step @p486 :rule bool-double-not-elim :args (@t404))
% 50.07/50.33  (step @p487 :rule refl :args (@t338))
% 50.07/50.33  (step @p488 :rule refl :args (@t426))
% 50.07/50.33  (step @p489 :rule refl :args (@t427))
% 50.07/50.33  (step @p490 :rule nary_cong :premises (@p489 @p488 @p487 @p486) :args ((or @t427 @t426 @t338 (not @t405))))
% 50.07/50.33  (assume-push @p866 @t405)
% 50.07/50.33  (assume-push @p867 @t337)
% 50.07/50.33  (assume-push @p868 @t115)
% 50.07/50.33  (assume-push @p869 @t119)
% 50.07/50.33  (step @p495 :rule evaluate :args ((= true false)))
% 50.07/50.33  (step @p496 :rule false_intro :premises (@p485))
% 50.07/50.33  (step @p497 :rule refl :args (tptp.xd))
% 50.07/50.33  (step @p498 :rule refl :args (tptp.xR))
% 50.07/50.33  (step @p499 :rule symm :premises (@p867))
% 50.07/50.33  (step @p500 :rule symm :premises (@p868))
% 50.07/50.33  (step @p501 :rule trans :premises (@p500 @p499))
% 50.07/50.33  (step @p502 :rule cong :premises (@p501 @p498 @p497) :args (@t119))
% 50.07/50.33  (step @p503 :rule true_intro :premises (@p335))
% 50.07/50.33  (step @p504 :rule symm :premises (@p503))
% 50.07/50.33  (step @p505 :rule trans :premises (@p504 @p502 @p496))
% 50.07/50.33  (step @p506 false :rule eq_resolve :premises (@p505 @p495))
% 50.07/50.33  (step-pop @p870 :rule scope :premises (@p506))
% 50.07/50.33  (step-pop @p871 :rule scope :premises (@p870))
% 50.07/50.33  (step-pop @p872 :rule scope :premises (@p871))
% 50.07/50.33  (step-pop @p873 :rule scope :premises (@p872))
% 50.07/50.33  (step @p507 :rule process_scope :premises (@p873) :args (false))
% 50.07/50.33  (assume-push @p874 @t115)
% 50.07/50.33  (assume-push @p875 @t119)
% 50.07/50.33  (assume-push @p876 @t337)
% 50.07/50.33  (assume-push @p877 @t405)
% 50.07/50.33  (step @p516 :rule and_intro :premises (@p485 @p876 @p874 @p335))
% 50.07/50.33  (step-pop @p878 :rule scope :premises (@p516))
% 50.07/50.33  (step-pop @p879 :rule scope :premises (@p878))
% 50.07/50.33  (step-pop @p880 :rule scope :premises (@p879))
% 50.07/50.33  (step-pop @p881 :rule scope :premises (@p880))
% 50.07/50.33  (step @p517 :rule process_scope :premises (@p881) :args (@t428))
% 50.07/50.33  (step @p522 :rule implies_elim :premises (@p517))
% 50.07/50.33  (step @p523 :rule resolution :premises (@p522 @p507) :args (true @t428))
% 50.07/50.33  (step @p524 :rule not_and :premises (@p523))
% 50.07/50.33  (step @p525 :rule eq_resolve :premises (@p524 @p490))
% 50.07/50.33  (step @p526 :rule reordering :premises (@p525) :args ((or @t338 @t427 @t426 @t404)))
% 50.07/50.33  (step @p527 :rule refl :args (@t109))
% 50.07/50.33  (step @p528 :rule aci_norm :args ((= (or @t153 (or @t430 @t429)) @t431)))
% 50.07/50.33  (step @p529 :rule bool-and-de-morgan :args (@t97 @t108 true))
% 50.07/50.33  (step @p530 :rule nary_cong :premises (@p40 @p529) :args ((or @t153 (not (and @t97 @t108)))))
% 50.07/50.33  (step @p531 :rule bool-and-de-morgan :args (@t2 @t97 (and @t108)))
% 50.07/50.33  (step @p532 :rule trans :premises (@p531 @p530))
% 50.07/50.33  (step @p533 :rule trans :premises (@p532 @p528))
% 50.07/50.33  (step @p534 :rule cong :premises (@p533) :args (@t432))
% 50.07/50.33  (step @p535 :rule cong :premises (@p534) :args (@t433))
% 50.07/50.33  (step @p536 :rule exists-elim :args ((= @t111 @t433)))
% 50.07/50.33  (step @p537 :rule trans :premises (@p536 @p535))
% 50.07/50.33  (step @p538 :rule refl :args (@t112))
% 50.07/50.33  (step @p539 :rule nary_cong :premises (@p538 @p537) :args (@t113))
% 50.07/50.33  (step @p540 :rule nary_cong :premises (@p539 @p527) :args (@t114))
% 50.07/50.33  (step @p541 :rule refl :args (@t115))
% 50.07/50.33  (step @p542 :rule nary_cong :premises (@p541 @p540) :args (@t116))
% 50.07/50.33  (step @p543 :rule and_elim :premises (@p22) :args (1))
% 50.07/50.33  (step @p544 :rule eq_resolve :premises (@p543 @p542))
% 50.07/50.33  (step @p545 :rule cnf_and_pos :args (@t434 1))
% 50.07/50.33  (step @p546 :rule reordering :premises (@p545) :args ((or @t109 (not @t434))))
% 50.07/50.33  (step @p547 :rule cnf_and_pos :args (@t411 3))
% 50.07/50.33  (step @p548 :rule reordering :premises (@p547) :args ((or @t407 @t424)))
% 50.07/50.33  (step @p549 :rule chain_m_resolution :premises (@p548 @p482) :args (@t407 @t341 @t425))
% 50.07/50.33  (step @p550 :rule bool-double-not-elim :args (@t406))
% 50.07/50.33  (step @p551 :rule refl :args (@t435))
% 50.07/50.33  (step @p552 :rule refl :args (@t436))
% 50.07/50.33  (step @p553 :rule nary_cong :premises (@p552 @p551 @p487 @p550) :args ((or @t436 @t435 @t338 (not @t407))))
% 50.07/50.33  (assume-push @p882 @t109)
% 50.07/50.33  (assume-push @p883 @t337)
% 50.07/50.33  (assume-push @p884 @t128)
% 50.07/50.33  (assume-push @p885 @t407)
% 50.07/50.33  (step @p558 :rule evaluate :args (@t437))
% 50.07/50.33  (step @p559 :rule true_intro :premises (@p882))
% 50.07/50.33  (step @p560 :rule symm :premises (@p884))
% 50.07/50.33  (step @p498 :rule refl :args (tptp.xR))
% 50.07/50.33  (step @p561 :rule cong :premises (@p883 @p498 @p560) :args (@t406))
% 50.07/50.33  (step @p562 :rule false_intro :premises (@p549))
% 50.07/50.33  (step @p563 :rule symm :premises (@p562))
% 50.07/50.33  (step @p564 :rule trans :premises (@p563 @p561 @p559))
% 50.07/50.33  (step @p565 false :rule eq_resolve :premises (@p564 @p558))
% 50.07/50.33  (step-pop @p886 :rule scope :premises (@p565))
% 50.07/50.33  (step-pop @p887 :rule scope :premises (@p886))
% 50.07/50.33  (step-pop @p888 :rule scope :premises (@p887))
% 50.07/50.33  (step-pop @p889 :rule scope :premises (@p888))
% 50.07/50.33  (step @p566 :rule process_scope :premises (@p889) :args (false))
% 50.07/50.33  (assume-push @p890 @t109)
% 50.07/50.33  (assume-push @p891 @t128)
% 50.07/50.33  (assume-push @p892 @t337)
% 50.07/50.33  (assume-push @p893 @t407)
% 50.07/50.33  (step @p575 :rule and_intro :premises (@p890 @p892 @p891 @p549))
% 50.07/50.33  (step-pop @p894 :rule scope :premises (@p575))
% 50.07/50.33  (step-pop @p895 :rule scope :premises (@p894))
% 50.07/50.33  (step-pop @p896 :rule scope :premises (@p895))
% 50.07/50.33  (step-pop @p897 :rule scope :premises (@p896))
% 50.07/50.33  (step @p576 :rule process_scope :premises (@p897) :args (@t438))
% 50.07/50.33  (step @p581 :rule implies_elim :premises (@p576))
% 50.07/50.33  (step @p582 :rule resolution :premises (@p581 @p566) :args (true @t438))
% 50.07/50.33  (step @p583 :rule not_and :premises (@p582))
% 50.07/50.33  (step @p584 :rule eq_resolve :premises (@p583 @p553))
% 50.07/50.33  (step @p585 :rule reordering :premises (@p584) :args ((or @t338 @t436 @t435 @t406)))
% 50.07/50.33  (step @p586 :rule refl :args (@t120))
% 50.07/50.33  (step @p587 :rule aci_norm :args ((= (or @t153 (or @t440 @t439)) @t441)))
% 50.07/50.33  (step @p588 :rule bool-and-de-morgan :args (@t122 @t121 true))
% 50.07/50.33  (step @p589 :rule nary_cong :premises (@p40 @p588) :args ((or @t153 (not (and @t122 @t121)))))
% 50.07/50.33  (step @p590 :rule bool-and-de-morgan :args (@t2 @t122 (and @t121)))
% 50.07/50.33  (step @p591 :rule trans :premises (@p590 @p589))
% 50.07/50.33  (step @p592 :rule trans :premises (@p591 @p587))
% 50.07/50.33  (step @p593 :rule cong :premises (@p592) :args (@t442))
% 50.07/50.33  (step @p594 :rule cong :premises (@p593) :args (@t443))
% 50.07/50.33  (step @p595 :rule exists-elim :args ((= @t124 @t443)))
% 50.07/50.33  (step @p596 :rule trans :premises (@p595 @p594))
% 50.07/50.33  (step @p597 :rule refl :args (@t125))
% 50.07/50.33  (step @p598 :rule nary_cong :premises (@p597 @p596) :args (@t126))
% 50.07/50.33  (step @p599 :rule nary_cong :premises (@p598 @p586) :args (@t127))
% 50.07/50.33  (step @p600 :rule refl :args (@t128))
% 50.07/50.33  (step @p601 :rule nary_cong :premises (@p600 @p599) :args (@t129))
% 50.07/50.33  (step @p602 :rule and_elim :premises (@p23) :args (1))
% 50.07/50.33  (step @p603 :rule eq_resolve :premises (@p602 @p601))
% 50.07/50.33  (step @p604 :rule cnf_and_pos :args (@t444 1))
% 50.07/50.33  (step @p605 :rule reordering :premises (@p604) :args ((or @t120 (not @t444))))
% 50.07/50.33  (step @p606 :rule and_elim :premises (@p17) :args (1))
% 50.07/50.33  (step @p607 :rule and_elim :premises (@p22) :args (0))
% 50.07/50.33  (step @p608 :rule instantiate :premises (@p50) :args ((@list tptp.xb tptp.xR tptp.xw tptp.xd)))
% 50.07/50.33  (step @p609 :rule cnf_or_pos :args (@t450))
% 50.07/50.33  (step @p610 :rule reordering :premises (@p609) :args ((or @t449 @t316 @t448 @t327 @t445 @t406 @t447 (not @t450))))
% 50.07/50.33  (assume-push @p898 @t109)
% 50.07/50.33  (assume-push @p899 @t337)
% 50.07/50.33  (assume-push @p900 @t109)
% 50.07/50.33  (assume-push @p901 @t337)
% 50.07/50.33  (step @p615 :rule true_intro :premises (@p898))
% 50.07/50.33  (step @p616 :rule refl :args (tptp.xw))
% 50.07/50.33  (step @p498 :rule refl :args (tptp.xR))
% 50.07/50.33  (step @p617 :rule cong :premises (@p899 @p498 @p616) :args (@t446))
% 50.07/50.33  (step @p618 :rule trans :premises (@p617 @p615))
% 50.07/50.33  (step @p619 :rule true_elim :premises (@p618))
% 50.07/50.33  (step-pop @p902 :rule scope :premises (@p619))
% 50.07/50.33  (step-pop @p903 :rule scope :premises (@p902))
% 50.07/50.33  (step @p620 :rule process_scope :premises (@p903) :args (@t446))
% 50.07/50.33  (step @p623 :rule and_intro :premises (@p898 @p899))
% 50.07/50.33  (step @p624 :rule modus_ponens :premises (@p623 @p620))
% 50.07/50.33  (step-pop @p904 :rule scope :premises (@p624))
% 50.07/50.33  (step-pop @p905 :rule scope :premises (@p904))
% 50.07/50.33  (step @p625 :rule process_scope :premises (@p905) :args (@t446))
% 50.07/50.33  (step @p628 :rule implies_elim :premises (@p625))
% 50.07/50.33  (step @p629 :rule cnf_and_neg :args (@t451))
% 50.07/50.33  (step @p630 :rule resolution :premises (@p629 @p628) :args (true @t451))
% 50.07/50.33  (step @p631 :rule reordering :premises (@p630) :args ((or @t338 @t436 @t446)))
% 50.07/50.33  (step @p632 :rule chain_m_resolution :premises (@p631 @p610 @p608 @p549 @p479 @p607 @p606 @p15 @p605 @p603 @p585 @p549 @p546 @p544 @p526 @p485 @p335) :args (@t338 (@list true false true false false false false false false true true false false true true false) (@list @t446 @t450 @t406 @t130 @t117 @t72 @t37 @t120 @t444 @t128 @t406 @t109 @t434 @t115 @t404 @t119)))
% 50.07/50.33  (step @p633 :rule refl :args (@t96))
% 50.07/50.33  (step @p634 :rule aci_norm :args ((= (or @t153 (or @t430 @t452)) @t453)))
% 50.07/50.33  (step @p635 :rule bool-and-de-morgan :args (@t97 @t94 true))
% 50.07/50.33  (step @p636 :rule nary_cong :premises (@p40 @p635) :args ((or @t153 (not (and @t97 @t94)))))
% 50.07/50.33  (step @p637 :rule bool-and-de-morgan :args (@t2 @t97 (and @t94)))
% 50.07/50.33  (step @p638 :rule trans :premises (@p637 @p636))
% 50.07/50.33  (step @p639 :rule trans :premises (@p638 @p634))
% 50.07/50.33  (step @p640 :rule cong :premises (@p639) :args (@t454))
% 50.07/50.33  (step @p641 :rule cong :premises (@p640) :args (@t455))
% 50.07/50.33  (step @p642 :rule exists-elim :args ((= @t99 @t455)))
% 50.07/50.33  (step @p643 :rule trans :premises (@p642 @p641))
% 50.07/50.33  (step @p644 :rule refl :args (@t100))
% 50.07/50.33  (step @p645 :rule nary_cong :premises (@p644 @p643) :args (@t101))
% 50.07/50.33  (step @p646 :rule nary_cong :premises (@p645 @p633) :args (@t102))
% 50.07/50.33  (step @p647 :rule nary_cong :premises (@p318 @p646) :args (@t104))
% 50.07/50.33  (step @p648 :rule and_elim :premises (@p20) :args (2))
% 50.07/50.33  (step @p649 :rule eq_resolve :premises (@p648 @p647))
% 50.07/50.33  (step @p650 :rule chain_m_resolution :premises (@p649 @p632) :args (@t456 @t457 (@list @t337)))
% 50.07/50.33  (step @p651 :rule cnf_and_pos :args (@t456 1))
% 50.07/50.33  (step @p652 :rule reordering :premises (@p651) :args ((or @t96 (not @t456))))
% 50.07/50.33  (step @p653 :rule chain_m_resolution :premises (@p652 @p650) :args (@t96 @t341 (@list @t456)))
% 50.07/50.33  (step @p654 :rule cnf_and_pos :args (@t339 3))
% 50.07/50.33  (step @p655 :rule reordering :premises (@p654) :args ((or @t314 @t458)))
% 50.07/50.33  (step @p656 :rule chain_m_resolution :premises (@p655 @p653) :args (@t458 @t341 (@list @t96)))
% 50.07/50.33  (step @p657 :rule bool-double-not-elim :args (@t461))
% 50.07/50.33  (step @p658 :rule refl :args (@t477))
% 50.07/50.33  (step @p659 :rule nary_cong :premises (@p658 @p657) :args ((or @t477 (not @t476))))
% 50.07/50.33  (step @p660 :rule cnf_or_neg :args (@t477 0))
% 50.07/50.33  (step @p661 :rule eq_resolve :premises (@p660 @p659))
% 50.07/50.33  (step @p662 :rule reordering :premises (@p661) :args ((or @t461 @t477)))
% 50.07/50.33  (step @p663 :rule bool-double-not-elim :args (@t469))
% 50.07/50.33  (step @p664 :rule nary_cong :premises (@p658 @p663) :args ((or @t477 (not @t470))))
% 50.07/50.33  (step @p665 :rule cnf_or_neg :args (@t477 2))
% 50.07/50.33  (step @p666 :rule eq_resolve :premises (@p665 @p664))
% 50.07/50.33  (step @p667 :rule reordering :premises (@p666) :args ((or @t469 @t477)))
% 50.07/50.33  (step @p668 :rule bool-double-not-elim :args (@t462))
% 50.07/50.33  (step @p669 :rule nary_cong :premises (@p658 @p668) :args ((or @t477 (not @t463))))
% 50.07/50.33  (step @p670 :rule cnf_or_neg :args (@t477 4))
% 50.07/50.33  (step @p671 :rule eq_resolve :premises (@p670 @p669))
% 50.07/50.33  (step @p672 :rule reordering :premises (@p671) :args ((or @t462 @t477)))
% 50.07/50.33  (step @p673 :rule cnf_and_pos :args (@t480 4))
% 50.07/50.33  (step @p674 :rule reordering :premises (@p673) :args ((or @t470 (not @t480))))
% 50.07/50.33  (step @p675 :rule cnf_and_pos :args (@t482 4))
% 50.07/50.33  (step @p676 :rule reordering :premises (@p675) :args ((or @t463 (not @t482))))
% 50.07/50.33  (step @p677 :rule refl :args (@t463))
% 50.07/50.33  (step @p678 :rule refl :args (@t464))
% 50.07/50.33  (step @p679 :rule refl :args (@t481))
% 50.07/50.33  (step @p680 :rule refl :args (@t466))
% 50.07/50.33  (step @p681 :rule eq-symm :args (@t460 tptp.xd))
% 50.07/50.33  (step @p682 :rule cong :premises (@p681) :args (@t483))
% 50.07/50.33  (step @p683 :rule nary_cong :premises (@p682 @p680 @p679 @p678 @p677) :args (@t484))
% 50.07/50.33  (step @p684 :rule refl :args (@t470))
% 50.07/50.33  (step @p685 :rule refl :args (@t471))
% 50.07/50.33  (step @p686 :rule refl :args (@t479))
% 50.07/50.33  (step @p687 :rule refl :args (@t473))
% 50.07/50.33  (step @p688 :rule eq-symm :args (@t460 tptp.xb))
% 50.07/50.33  (step @p689 :rule cong :premises (@p688) :args (@t485))
% 50.07/50.33  (step @p690 :rule nary_cong :premises (@p689 @p687 @p686 @p685 @p684) :args (@t486))
% 50.07/50.33  (step @p691 :rule refl :args (@t476))
% 50.07/50.33  (step @p692 :rule nary_cong :premises (@p691 @p690 @p683) :args (@t487))
% 50.07/50.33  (step @p693 :rule cong :premises (@p470 @p692) :args ((=> @t359 @t487)))
% 50.07/50.33  (assume-push @p906 @t359)
% 50.07/50.33  (step @p695 :rule instantiate :premises (@p448) :args ((@list @t460 tptp.xR tptp.xR)))
% 50.07/50.33  (step-pop @p907 :rule scope :premises (@p695))
% 50.07/50.33  (step @p696 :rule process_scope :premises (@p907) :args (@t487))
% 50.07/50.33  (step @p698 :rule eq_resolve :premises (@p696 @p693))
% 50.07/50.33  (step @p699 :rule implies_elim :premises (@p698))
% 50.07/50.33  (step @p700 :rule chain_m_resolution :premises (@p699 @p448) :args (@t488 @t341 @t423))
% 50.07/50.33  (step @p701 :rule cnf_or_pos :args (@t488))
% 50.07/50.33  (step @p702 :rule reordering :premises (@p701) :args ((or @t476 @t480 @t482 (not @t488))))
% 50.07/50.33  (step @p703 :rule chain_m_resolution :premises (@p702 @p700 @p676 @p674 @p672 @p667 @p662) :args (@t477 (@list false true true false false false) (@list @t488 @t482 @t480 @t462 @t469 @t461)))
% 50.07/50.33  (step @p704 :rule refl :args (@t489))
% 50.07/50.33  (step @p705 :rule bool-double-not-elim :args (@t459))
% 50.07/50.33  (step @p706 :rule nary_cong :premises (@p705 @p704) :args ((or (not @t490) @t489)))
% 50.07/50.33  (step @p707 :rule refl :args (@t467))
% 50.07/50.33  (step @p708 :rule nary_cong :premises (@p682 @p707) :args (@t491))
% 50.07/50.33  (step @p709 :rule refl :args (@t474))
% 50.07/50.33  (step @p710 :rule nary_cong :premises (@p689 @p709) :args (@t492))
% 50.07/50.33  (step @p711 :rule nary_cong :premises (@p691 @p710 @p684 @p708 @p677) :args (@t493))
% 50.07/50.33  (step @p712 :rule cong :premises (@p711) :args (@t494))
% 50.07/50.33  (step @p713 :rule refl :args (@t490))
% 50.07/50.33  (step @p714 :rule cong :premises (@p713 @p712) :args ((=> @t490 @t494)))
% 50.07/50.33  (assume-push @p908 @t490)
% 50.07/50.33  (step @p716 :rule skolemize :premises (@p908))
% 50.07/50.33  (step-pop @p909 :rule scope :premises (@p716))
% 50.07/50.33  (step @p717 :rule process_scope :premises (@p909) :args (@t494))
% 50.07/50.33  (step @p719 :rule eq_resolve :premises (@p717 @p714))
% 50.07/50.33  (step @p720 :rule implies_elim :premises (@p719))
% 50.07/50.33  (step @p721 :rule eq_resolve :premises (@p720 @p706))
% 50.07/50.33  (step @p722 :rule chain_m_resolution :premises (@p721 @p703) :args (@t459 @t341 (@list @t477)))
% 50.07/50.33  (step @p723 :rule aci_norm :args ((= @t334 @t495)))
% 50.07/50.33  (step @p724 :rule cong :premises (@p723) :args (@t335))
% 50.07/50.33  (step @p725 :rule symm :premises (@p724))
% 50.07/50.33  (step @p726 :rule true_intro :premises (@p725))
% 50.07/50.33  (step @p727 :rule eq-symm :args (@t335 @t496))
% 50.07/50.33  (step @p728 :rule trans :premises (@p727 @p726))
% 50.07/50.33  (step @p729 :rule cong :premises (@p725 @p724) :args ((= @t496 @t335)))
% 50.07/50.33  (step @p730 :rule trans :premises (@p729 @p728))
% 50.07/50.33  (step @p731 :rule true_elim :premises (@p730))
% 50.07/50.33  (step @p732 :rule quant_var_reordering :args ((= (forall (@list @t18 @t159 @t170) @t495) @t496)))
% 50.07/50.33  (step @p733 :rule alpha_equiv :args ((forall (@list @t497 @t499 @t498) (or (not (tptp.aElement0 @t497)) (and (not (= @t497 tptp.xb)) (or (and (not (tptp.aReductOfIn0 @t497 tptp.xb tptp.xR)) (or (not (tptp.aElement0 @t499)) (not (tptp.aReductOfIn0 @t499 tptp.xb tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t499 tptp.xR @t497)))) (not (tptp.sdtmndtplgtdt0 tptp.xb tptp.xR @t497)))) (not (tptp.sdtmndtasgtdt0 tptp.xb tptp.xR @t497)) (and (not (= @t497 tptp.xd)) (or (and (not (tptp.aReductOfIn0 @t497 tptp.xd tptp.xR)) (or (not (tptp.aElement0 @t498)) (not (tptp.aReductOfIn0 @t498 tptp.xd tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t498 tptp.xR @t497)))) (not (tptp.sdtmndtplgtdt0 tptp.xd tptp.xR @t497)))) (not (tptp.sdtmndtasgtdt0 tptp.xd tptp.xR @t497)))) @t500 (@list @t18 @t170 @t159)))
% 50.07/50.33  (step @p734 :rule alpha_equiv :args (@t459 (@list @t18 @t159 @t170) @t500))
% 50.07/50.33  (step @p735 :rule trans :premises (@p734 @p733 @p732 @p731))
% 50.07/50.33  (step @p736 :rule equiv_elim1 :premises (@p735))
% 50.07/50.33  (step @p737 :rule chain_m_resolution :premises (@p736 @p722) :args (@t335 @t341 (@list @t459)))
% 50.07/50.33  (step @p738 :rule quant-merge-prenex :args ((= (forall @t12 @t506) (forall (@list @t1 @t7 @t501) @t504))))
% 50.07/50.33  (step @p739 :rule refl :args (@t38))
% 50.07/50.33  (step @p740 :rule quant-unused-vars :args ((= @t507 @t192)))
% 50.07/50.33  (step @p741 :rule alpha_equiv :args (@t508 (@list @t501) (@list @t5)))
% 50.07/50.33  (step @p742 :rule quant-unused-vars :args ((= @t509 @t195)))
% 50.07/50.33  (step @p743 :rule nary_cong :premises (@p742 @p741 @p740) :args (@t510))
% 50.07/50.33  (step @p744 :rule quant-miniscope-and :args ((= @t511 @t510)))
% 50.07/50.33  (step @p745 :rule trans :premises (@p744 @p743))
% 50.07/50.33  (step @p746 :rule nary_cong :premises (@p40 @p71 @p745 @p739) :args (@t512))
% 50.07/50.33  (step @p747 :rule quant-miniscope-or :args ((= @t506 @t512)))
% 50.07/50.33  (step @p748 :rule trans :premises (@p747 @p746))
% 50.07/50.33  (step @p749 :rule symm :premises (@p748))
% 50.07/50.33  (step @p750 :rule cong :premises (@p749) :args ((forall @t12 @t517)))
% 50.07/50.33  (step @p751 :rule trans :premises (@p750 @p738))
% 50.07/50.33  (step @p752 :rule aci_norm :args ((= (or (or @t153 @t198) (or @t516 @t38)) @t517)))
% 50.07/50.33  (step @p753 :rule bool-double-not-elim :args (@t515))
% 50.07/50.33  (step @p754 :rule nary_cong :premises (@p103 @p753 @p101) :args (@t520))
% 50.07/50.33  (step @p755 :rule aci_norm :args ((= (and @t195 (and @t519 @t192)) @t520)))
% 50.07/50.33  (step @p756 :rule trans :premises (@p755 @p754))
% 50.07/50.33  (step @p757 :rule bool-or-de-morgan :args (@t518 @t39 false))
% 50.07/50.33  (step @p758 :rule nary_cong :premises (@p103 @p757) :args ((and @t195 (not (or @t518 @t39)))))
% 50.07/50.33  (step @p759 :rule bool-or-de-morgan :args (@t44 @t518 (or @t39)))
% 50.07/50.33  (step @p760 :rule trans :premises (@p759 @p758))
% 50.07/50.33  (step @p761 :rule trans :premises (@p760 @p756))
% 50.07/50.33  (step @p762 :rule nary_cong :premises (@p761 @p739) :args ((or (not @t521) @t38)))
% 50.07/50.33  (step @p763 :rule bool-impl-elim :args (@t521 @t38))
% 50.07/50.33  (step @p764 :rule trans :premises (@p763 @p762))
% 50.07/50.33  (step @p765 :rule bool-and-de-morgan :args (@t2 @t13 true))
% 50.07/50.33  (step @p766 :rule nary_cong :premises (@p765 @p764) :args ((or (not @t14) @t522)))
% 50.07/50.33  (step @p767 :rule trans :premises (@p766 @p752))
% 50.07/50.33  (step @p768 :rule bool-impl-elim :args (@t14 @t522))
% 50.07/50.33  (step @p769 :rule trans :premises (@p768 @p767))
% 50.07/50.33  (step @p770 :rule cong :premises (@p769) :args ((forall @t12 (=> @t14 @t522))))
% 50.07/50.33  (step @p771 :rule trans :premises (@p770 @p751))
% 50.07/50.33  (step @p772 :rule refl :args (@t38))
% 50.07/50.33  (step @p773 :rule aci_norm :args ((= (or @t151 (or @t188 @t513)) @t514)))
% 50.07/50.33  (step @p774 :rule bool-and-de-morgan :args (@t41 @t40 true))
% 50.07/50.33  (step @p775 :rule nary_cong :premises (@p70 @p774) :args ((or @t151 (not (and @t41 @t40)))))
% 50.07/50.33  (step @p776 :rule bool-and-de-morgan :args (@t6 @t41 (and @t40)))
% 50.07/50.33  (step @p777 :rule trans :premises (@p776 @p775))
% 50.07/50.33  (step @p778 :rule trans :premises (@p777 @p773))
% 50.07/50.33  (step @p779 :rule cong :premises (@p778) :args (@t523))
% 50.07/50.33  (step @p780 :rule cong :premises (@p779) :args (@t524))
% 50.07/50.33  (step @p781 :rule exists-elim :args ((= @t43 @t524)))
% 50.07/50.33  (step @p782 :rule trans :premises (@p781 @p780))
% 50.07/50.33  (step @p783 :rule nary_cong :premises (@p288 @p782 @p277) :args (@t45))
% 50.07/50.33  (step @p784 :rule cong :premises (@p783 @p772) :args (@t46))
% 50.07/50.33  (step @p785 :rule refl :args (@t14))
% 50.07/50.33  (step @p786 :rule cong :premises (@p785 @p784) :args (@t47))
% 50.07/50.33  (step @p787 :rule cong :premises (@p786) :args (@t48))
% 50.07/50.33  (step @p788 :rule trans :premises (@p787 @p771))
% 50.07/50.33  (step @p789 :rule and_elim :premises (@p16) :args (2))
% 50.07/50.33  (step @p790 :rule eq_resolve :premises (@p789 @p788))
% 50.07/50.33  (step @p791 :rule instantiate :premises (@p790) :args ((@list tptp.xa tptp.xu tptp.xR)))
% 50.07/50.33  (step @p792 :rule and_elim :premises (@p20) :args (1))
% 50.07/50.33  (step @p793 :rule cnf_and_pos :args (@t526 0))
% 50.07/50.33  (step @p794 :rule reordering :premises (@p793) :args ((or @t525 @t527)))
% 50.07/50.33  (step @p795 :rule chain_m_resolution :premises (@p794 @p792) :args (@t527 @t341 (@list @t105)))
% 50.07/50.33  (step @p796 :rule and_elim :premises (@p20) :args (0))
% 50.07/50.33  (step @p797 :rule and_elim :premises (@p17) :args (0))
% 50.07/50.33  (step @p798 :rule cnf_or_pos :args (@t529))
% 50.07/50.33  (step @p799 :rule reordering :premises (@p798) :args ((or @t528 @t328 @t311 @t526 (not @t529))))
% 50.07/50.33  (step @p800 :rule chain_m_resolution :premises (@p799 @p797 @p796 @p795 @p791) :args (@t311 (@list false false true false) (@list @t73 @t106 @t526 @t529)))
% 50.07/50.33  (step @p801 :rule cnf_or_pos :args (@t340))
% 50.07/50.33  (step @p802 :rule reordering :premises (@p801) :args ((or @t316 @t328 @t327 @t312 @t336 @t326 @t339 (not @t340))))
% 50.07/50.33  (step @p803 :rule chain_m_resolution :premises (@p802 @p606 @p796 @p479 @p800 @p737 @p656 @p334) :args (@t326 (@list false false false false false true false) (@list @t72 @t106 @t130 @t311 @t335 @t339 @t340)))
% 50.07/50.33  (step @p804 :rule cnf_and_pos :args (@t326 3))
% 50.07/50.33  (step @p805 :rule reordering :premises (@p804) :args ((or @t323 @t530)))
% 50.07/50.33  (step @p806 :rule chain_m_resolution :premises (@p805 @p803) :args (@t323 @t341 @t531))
% 50.07/50.33  (step @p807 :rule cnf_and_pos :args (@t326 4))
% 50.07/50.33  (step @p808 :rule reordering :premises (@p807) :args ((or @t321 @t530)))
% 50.07/50.33  (step @p809 :rule chain_m_resolution :premises (@p808 @p803) :args (@t321 @t341 @t531))
% 50.07/50.33  (assume-push @p910 @t115)
% 50.07/50.33  (assume-push @p911 @t119)
% 50.07/50.33  (assume-push @p912 @t119)
% 50.07/50.33  (assume-push @p913 @t115)
% 50.07/50.33  (step @p503 :rule true_intro :premises (@p335))
% 50.07/50.33  (step @p497 :rule refl :args (tptp.xd))
% 50.07/50.33  (step @p498 :rule refl :args (tptp.xR))
% 50.07/50.33  (step @p814 :rule cong :premises (@p910 @p498 @p497) :args (@t320))
% 50.07/50.33  (step @p815 :rule trans :premises (@p814 @p503))
% 50.07/50.33  (step @p816 :rule true_elim :premises (@p815))
% 50.07/50.33  (step-pop @p914 :rule scope :premises (@p816))
% 50.07/50.33  (step-pop @p915 :rule scope :premises (@p914))
% 50.07/50.33  (step @p817 :rule process_scope :premises (@p915) :args (@t320))
% 50.07/50.33  (step @p820 :rule and_intro :premises (@p335 @p910))
% 50.07/50.33  (step @p821 :rule modus_ponens :premises (@p820 @p817))
% 50.07/50.33  (step-pop @p916 :rule scope :premises (@p821))
% 50.07/50.33  (step-pop @p917 :rule scope :premises (@p916))
% 50.07/50.33  (step @p822 :rule process_scope :premises (@p917) :args (@t320))
% 50.07/50.33  (step @p825 :rule implies_elim :premises (@p822))
% 50.07/50.33  (step @p826 :rule cnf_and_neg :args (@t532))
% 50.07/50.33  (step @p827 :rule resolution :premises (@p826 @p825) :args (true @t532))
% 50.07/50.33  (step @p828 :rule chain_m_resolution :premises (@p827 @p809 @p335) :args (@t427 @t533 (@list @t320 @t119)))
% 50.07/50.33  (step @p829 :rule chain_m_resolution :premises (@p544 @p828) :args (@t434 @t457 (@list @t115)))
% 50.07/50.33  (step @p830 :rule chain_m_resolution :premises (@p546 @p829) :args (@t109 @t341 (@list @t434)))
% 50.07/50.33  (step @p831 :rule bool-double-not-elim :args (@t322))
% 50.07/50.33  (step @p832 :rule nary_cong :premises (@p552 @p551 @p831) :args ((or @t436 @t435 (not @t323))))
% 50.07/50.33  (assume-push @p918 @t109)
% 50.07/50.33  (assume-push @p919 @t128)
% 50.07/50.33  (assume-push @p920 @t323)
% 50.07/50.33  (step @p558 :rule evaluate :args (@t437))
% 50.07/50.33  (step @p836 :rule true_intro :premises (@p918))
% 50.07/50.33  (step @p837 :rule symm :premises (@p919))
% 50.07/50.33  (step @p498 :rule refl :args (tptp.xR))
% 50.07/50.33  (step @p838 :rule refl :args (tptp.xu))
% 50.07/50.33  (step @p839 :rule cong :premises (@p838 @p498 @p837) :args (@t322))
% 50.07/50.33  (step @p840 :rule false_intro :premises (@p920))
% 50.07/50.33  (step @p841 :rule symm :premises (@p840))
% 50.07/50.33  (step @p842 :rule trans :premises (@p841 @p839 @p836))
% 50.07/50.33  (step @p843 false :rule eq_resolve :premises (@p842 @p558))
% 50.07/50.33  (step-pop @p921 :rule scope :premises (@p843))
% 50.07/50.33  (step-pop @p922 :rule scope :premises (@p921))
% 50.07/50.33  (step-pop @p923 :rule scope :premises (@p922))
% 50.07/50.33  (step @p844 :rule process_scope :premises (@p923) :args (false))
% 50.07/50.33  (step @p848 :rule not_and :premises (@p844))
% 50.07/50.33  (step @p849 :rule eq_resolve :premises (@p848 @p832))
% 50.07/50.33  (step @p850 :rule chain_m_resolution :premises (@p849 @p830 @p806) :args (@t435 (@list false true) (@list @t109 @t322)))
% 50.07/50.34  (step @p851 :rule chain_m_resolution :premises (@p603 @p850) :args (@t444 @t457 (@list @t128)))
% 50.07/50.34  (step @p852 :rule chain_m_resolution :premises (@p605 @p851) :args (@t120 @t341 (@list @t444)))
% 50.07/50.34  (step @p853 :rule cnf_or_pos :args (@t534))
% 50.07/50.34  (step @p854 :rule reordering :premises (@p853) :args ((or @t449 @t328 @t448 @t436 @t327 @t445 @t322 @t535)))
% 50.07/50.34  (step @p855 :rule chain_m_resolution :premises (@p854 @p15 @p796 @p607 @p830 @p479 @p852 @p806) :args (@t535 (@list false false false false false false true) (@list @t37 @t106 @t117 @t109 @t130 @t120 @t322)))
% 50.07/50.34  (assume-push @p924 @t536)
% 50.07/50.34  (step @p857 :rule instantiate :premises (@p50) :args ((@list tptp.xu tptp.xR tptp.xw tptp.xd)))
% 50.07/50.34  (step-pop @p925 :rule scope :premises (@p857))
% 50.07/50.34  (step @p858 :rule process_scope :premises (@p925) :args (@t534))
% 50.07/50.34  (step @p860 :rule implies_elim :premises (@p858))
% 50.07/50.34  (step @p861 false :rule chain_m_resolution :premises (@p860 @p855 @p50) :args (false @t533 (@list @t534 @t536)))
% 50.07/50.34  )
% 50.07/50.34  % SZS output end Proof
% 50.07/50.34  % cvc5 exiting
%------------------------------------------------------------------------------