cvc5---1.3.4.THM-Prf.s

%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : COM023+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 : n014.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 08:10:27 AM UTC 2026

% Result   : Theorem 24.03s 24.20s
% Output   : Proof 24.03s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : COM023+4 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.33  % Computer : n014.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit : 300
% 0.15/0.33  % WCLimit  : 300
% 0.15/0.33  % DateTime : Mon Jun  1 20:28:58 EDT 2026
% 0.15/0.33  % CPUTime  : 
% 0.29/0.49  %----Proving TF0_NAR, FOF, or CNF
% 24.03/24.20  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 24.03/24.20  --- Run --no-e-matching --full-saturate-quant at 6...
% 24.03/24.20  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 24.03/24.20  % SZS status Theorem
% 24.03/24.20  % SZS output start Proof
% 24.03/24.20  (
% 24.03/24.20  (declare-sort $$unsorted 0)
% 24.03/24.20  (declare-const tptp.aNormalFormOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool))
% 24.03/24.20  (declare-const tptp.isTerminating0 (-> $$unsorted Bool))
% 24.03/24.20  (declare-const tptp.xR $$unsorted)
% 24.03/24.20  (declare-const tptp.iLess0 (-> $$unsorted $$unsorted Bool))
% 24.03/24.20  (declare-const tptp.isLocallyConfluent0 (-> $$unsorted Bool))
% 24.03/24.20  (declare-const tptp.aReductOfIn0 (-> $$unsorted $$unsorted $$unsorted Bool))
% 24.03/24.20  (declare-const tptp.isConfluent0 (-> $$unsorted Bool))
% 24.03/24.20  (declare-const tptp.sdtmndtasgtdt0 (-> $$unsorted $$unsorted $$unsorted Bool))
% 24.03/24.20  (declare-const tptp.sdtmndtplgtdt0 (-> $$unsorted $$unsorted $$unsorted Bool))
% 24.03/24.20  (declare-const tptp.aRewritingSystem0 (-> $$unsorted Bool))
% 24.03/24.20  (declare-const tptp.aElement0 (-> $$unsorted Bool))
% 24.03/24.20  (define @t1 () (@var "W0" $$unsorted))
% 24.03/24.20  (define @t2 () (tptp.aElement0 @t1))
% 24.03/24.20  (define @t3 () (@list @t1))
% 24.03/24.20  (define @t4 () (tptp.aRewritingSystem0 @t1))
% 24.03/24.20  (define @t5 () (@var "W2" $$unsorted))
% 24.03/24.20  (define @t6 () (tptp.aElement0 @t5))
% 24.03/24.20  (define @t7 () (@var "W1" $$unsorted))
% 24.03/24.20  (define @t8 () (tptp.aReductOfIn0 @t5 @t1 @t7))
% 24.03/24.20  (define @t9 () (@list @t5))
% 24.03/24.20  (define @t10 () (tptp.aRewritingSystem0 @t7))
% 24.03/24.20  (define @t11 () (and @t2 @t10))
% 24.03/24.20  (define @t12 () (@list @t1 @t7))
% 24.03/24.20  (define @t13 () (tptp.aElement0 @t7))
% 24.03/24.20  (define @t14 () (and @t2 @t13))
% 24.03/24.20  (define @t15 () (tptp.sdtmndtplgtdt0 @t1 @t7 @t5))
% 24.03/24.20  (define @t16 () (and @t2 @t10 @t6))
% 24.03/24.20  (define @t17 () (@list @t1 @t7 @t5))
% 24.03/24.20  (define @t18 () (@var "W3" $$unsorted))
% 24.03/24.20  (define @t19 () (tptp.aElement0 @t18))
% 24.03/24.20  (define @t20 () (@list @t18))
% 24.03/24.20  (define @t21 () (and @t2 @t10 @t6 @t19))
% 24.03/24.20  (define @t22 () (@list @t1 @t7 @t5 @t18))
% 24.03/24.20  (define @t23 () (= @t1 @t5))
% 24.03/24.20  (define @t24 () (tptp.sdtmndtasgtdt0 @t1 @t7 @t5))
% 24.03/24.20  (define @t25 () (@var "W4" $$unsorted))
% 24.03/24.20  (define @t26 () (tptp.aElement0 @t25))
% 24.03/24.20  (define @t27 () (@list @t25))
% 24.03/24.20  (define @t28 () (exists @t27 (and @t26 (tptp.sdtmndtasgtdt0 @t5 @t1 @t25) (tptp.sdtmndtasgtdt0 @t18 @t1 @t25))))
% 24.03/24.20  (define @t29 () (@list @t7 @t5 @t18))
% 24.03/24.20  (define @t30 () (tptp.isTerminating0 @t1))
% 24.03/24.20  (define @t31 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR @t7))
% 24.03/24.20  (define @t32 () (tptp.aReductOfIn0 @t5 @t1 tptp.xR))
% 24.03/24.20  (define @t33 () (tptp.aReductOfIn0 @t7 @t1 tptp.xR))
% 24.03/24.20  (define @t34 () (tptp.sdtmndtasgtdt0 @t5 tptp.xR @t18))
% 24.03/24.20  (define @t35 () (tptp.sdtmndtplgtdt0 @t5 tptp.xR @t18))
% 24.03/24.20  (define @t36 () (tptp.sdtmndtplgtdt0 @t25 tptp.xR @t18))
% 24.03/24.20  (define @t37 () (tptp.aReductOfIn0 @t25 @t5 tptp.xR))
% 24.03/24.20  (define @t38 () (and @t26 @t37 @t36))
% 24.03/24.20  (define @t39 () (exists @t27 @t38))
% 24.03/24.20  (define @t40 () (tptp.aReductOfIn0 @t18 @t5 tptp.xR))
% 24.03/24.20  (define @t41 () (or @t40 @t39))
% 24.03/24.20  (define @t42 () (and @t41 @t35))
% 24.03/24.20  (define @t43 () (= @t5 @t18))
% 24.03/24.20  (define @t44 () (or @t43 @t42))
% 24.03/24.20  (define @t45 () (tptp.sdtmndtasgtdt0 @t7 tptp.xR @t18))
% 24.03/24.20  (define @t46 () (tptp.sdtmndtplgtdt0 @t7 tptp.xR @t18))
% 24.03/24.20  (define @t47 () (tptp.aReductOfIn0 @t25 @t7 tptp.xR))
% 24.03/24.20  (define @t48 () (and @t26 @t47 @t36))
% 24.03/24.20  (define @t49 () (exists @t27 @t48))
% 24.03/24.20  (define @t50 () (tptp.aReductOfIn0 @t18 @t7 tptp.xR))
% 24.03/24.20  (define @t51 () (or @t50 @t49))
% 24.03/24.20  (define @t52 () (and @t51 @t46))
% 24.03/24.20  (define @t53 () (= @t7 @t18))
% 24.03/24.20  (define @t54 () (or @t53 @t52))
% 24.03/24.20  (define @t55 () (and @t19 @t54 @t45 @t44 @t34))
% 24.03/24.20  (define @t56 () (exists @t20 @t55))
% 24.03/24.20  (define @t57 () (tptp.sdtmndtasgtdt0 @t1 tptp.xR @t5))
% 24.03/24.20  (define @t58 () (tptp.sdtmndtplgtdt0 @t1 tptp.xR @t5))
% 24.03/24.20  (define @t59 () (tptp.sdtmndtplgtdt0 @t18 tptp.xR @t5))
% 24.03/24.20  (define @t60 () (tptp.aReductOfIn0 @t18 @t1 tptp.xR))
% 24.03/24.20  (define @t61 () (and @t19 @t60 @t59))
% 24.03/24.20  (define @t62 () (exists @t20 @t61))
% 24.03/24.20  (define @t63 () (or @t23 @t32 @t62 @t58 @t57))
% 24.03/24.20  (define @t64 () (tptp.sdtmndtasgtdt0 @t1 tptp.xR @t7))
% 24.03/24.20  (define @t65 () (tptp.sdtmndtplgtdt0 @t18 tptp.xR @t7))
% 24.03/24.20  (define @t66 () (and @t19 @t60 @t65))
% 24.03/24.20  (define @t67 () (exists @t20 @t66))
% 24.03/24.20  (define @t68 () (= @t1 @t7))
% 24.03/24.20  (define @t69 () (or @t68 @t33 @t67 @t31 @t64))
% 24.03/24.20  (define @t70 () (and @t2 @t13 @t6 @t69 @t63))
% 24.03/24.20  (define @t71 () (=> @t70 @t56))
% 24.03/24.20  (define @t72 () (forall @t17 @t71))
% 24.03/24.20  (define @t73 () (tptp.isConfluent0 tptp.xR))
% 24.03/24.20  (define @t74 () (or @t43 @t40 @t39 @t35 @t34))
% 24.03/24.20  (define @t75 () (or @t53 @t50 @t49 @t46 @t45))
% 24.03/24.20  (define @t76 () (and @t19 @t75 @t74))
% 24.03/24.20  (define @t77 () (exists @t20 @t76))
% 24.03/24.20  (define @t78 () (or @t32 @t62))
% 24.03/24.20  (define @t79 () (and @t78 @t58))
% 24.03/24.20  (define @t80 () (or @t23 @t79))
% 24.03/24.20  (define @t81 () (or @t33 @t67))
% 24.03/24.20  (define @t82 () (and @t81 @t31))
% 24.03/24.20  (define @t83 () (or @t68 @t82))
% 24.03/24.20  (define @t84 () (and @t2 @t13 @t6 @t83 @t64 @t80 @t57))
% 24.03/24.20  (define @t85 () (=> @t84 @t77))
% 24.03/24.20  (define @t86 () (forall @t17 @t85))
% 24.03/24.20  (define @t87 () (or @t86 @t73))
% 24.03/24.20  (define @t88 () (not @t87))
% 24.03/24.20  (define @t89 () (not @t34))
% 24.03/24.20  (define @t90 () (not @t35))
% 24.03/24.20  (define @t91 () (@var "BOUND_VARIABLE_7849" $$unsorted))
% 24.03/24.20  (define @t92 () (not (tptp.sdtmndtplgtdt0 @t91 tptp.xR @t18)))
% 24.03/24.20  (define @t93 () (not (tptp.aElement0 @t91)))
% 24.03/24.20  (define @t94 () (or @t93 (not (tptp.aReductOfIn0 @t91 @t5 tptp.xR)) @t92))
% 24.03/24.20  (define @t95 () (not @t40))
% 24.03/24.20  (define @t96 () (and @t95 @t94))
% 24.03/24.20  (define @t97 () (or @t96 @t90))
% 24.03/24.20  (define @t98 () (not @t43))
% 24.03/24.20  (define @t99 () (and @t98 @t97))
% 24.03/24.20  (define @t100 () (not @t45))
% 24.03/24.20  (define @t101 () (not @t46))
% 24.03/24.20  (define @t102 () (@var "BOUND_VARIABLE_7837" $$unsorted))
% 24.03/24.20  (define @t103 () (not (tptp.sdtmndtplgtdt0 @t102 tptp.xR @t18)))
% 24.03/24.20  (define @t104 () (not (tptp.aElement0 @t102)))
% 24.03/24.20  (define @t105 () (or @t104 (not (tptp.aReductOfIn0 @t102 @t7 tptp.xR)) @t103))
% 24.03/24.20  (define @t106 () (not @t50))
% 24.03/24.20  (define @t107 () (and @t106 @t105))
% 24.03/24.20  (define @t108 () (or @t107 @t101))
% 24.03/24.20  (define @t109 () (not @t53))
% 24.03/24.20  (define @t110 () (and @t109 @t108))
% 24.03/24.20  (define @t111 () (not @t19))
% 24.03/24.20  (define @t112 () (or @t111 @t110 @t100 @t99 @t89))
% 24.03/24.20  (define @t113 () (@list @t18 @t102 @t91))
% 24.03/24.20  (define @t114 () (forall @t113 @t112))
% 24.03/24.20  (define @t115 () (not @t114))
% 24.03/24.20  (define @t116 () (not @t57))
% 24.03/24.20  (define @t117 () (not @t58))
% 24.03/24.20  (define @t118 () (@var "BOUND_VARIABLE_7950" $$unsorted))
% 24.03/24.20  (define @t119 () (or (not (tptp.aElement0 @t118)) (not (tptp.aReductOfIn0 @t118 @t1 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t118 tptp.xR @t5))))
% 24.03/24.20  (define @t120 () (not @t32))
% 24.03/24.20  (define @t121 () (not @t23))
% 24.03/24.20  (define @t122 () (and @t121 @t120 @t119 @t117 @t116))
% 24.03/24.20  (define @t123 () (not @t64))
% 24.03/24.20  (define @t124 () (not @t31))
% 24.03/24.20  (define @t125 () (@var "BOUND_VARIABLE_7940" $$unsorted))
% 24.03/24.20  (define @t126 () (or (not (tptp.aElement0 @t125)) (not (tptp.aReductOfIn0 @t125 @t1 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t125 tptp.xR @t7))))
% 24.03/24.20  (define @t127 () (not @t33))
% 24.03/24.20  (define @t128 () (not @t68))
% 24.03/24.20  (define @t129 () (and @t128 @t127 @t126 @t124 @t123))
% 24.03/24.20  (define @t130 () (not @t6))
% 24.03/24.20  (define @t131 () (not @t13))
% 24.03/24.20  (define @t132 () (not @t2))
% 24.03/24.20  (define @t133 () (or @t132 @t131 @t130 @t129 @t122 @t115))
% 24.03/24.20  (define @t134 () (forall (@list @t1 @t7 @t5 @t125 @t118) @t133))
% 24.03/24.20  (define @t135 () (forall (@list @t125 @t118) @t133))
% 24.03/24.20  (define @t136 () (@list @t118))
% 24.03/24.20  (define @t137 () (forall @t136 @t116))
% 24.03/24.20  (define @t138 () (forall @t136 @t117))
% 24.03/24.20  (define @t139 () (forall @t136 @t119))
% 24.03/24.20  (define @t140 () (@list @t18))
% 24.03/24.20  (define @t141 () (forall @t136 @t120))
% 24.03/24.20  (define @t142 () (forall @t136 @t121))
% 24.03/24.20  (define @t143 () (and @t142 @t141 @t139 @t138 @t137))
% 24.03/24.20  (define @t144 () (forall @t136 @t122))
% 24.03/24.20  (define @t145 () (@list @t125))
% 24.03/24.20  (define @t146 () (forall @t145 @t123))
% 24.03/24.20  (define @t147 () (forall @t145 @t124))
% 24.03/24.20  (define @t148 () (forall @t145 @t126))
% 24.03/24.20  (define @t149 () (forall @t145 @t127))
% 24.03/24.20  (define @t150 () (forall @t145 @t128))
% 24.03/24.20  (define @t151 () (and @t150 @t149 @t148 @t147 @t146))
% 24.03/24.20  (define @t152 () (forall @t145 @t129))
% 24.03/24.20  (define @t153 () (or @t132 @t131 @t130 @t152 @t144 @t115))
% 24.03/24.20  (define @t154 () (not @t59))
% 24.03/24.20  (define @t155 () (not @t60))
% 24.03/24.20  (define @t156 () (or @t111 @t155 @t154))
% 24.03/24.20  (define @t157 () (forall @t20 @t156))
% 24.03/24.20  (define @t158 () (and @t121 @t120 @t157 @t117 @t116))
% 24.03/24.20  (define @t159 () (not @t65))
% 24.03/24.20  (define @t160 () (or @t111 @t155 @t159))
% 24.03/24.20  (define @t161 () (forall @t20 @t160))
% 24.03/24.20  (define @t162 () (and @t128 @t127 @t161 @t124 @t123))
% 24.03/24.20  (define @t163 () (or @t132 @t131 @t130 @t162 @t158 @t115))
% 24.03/24.20  (define @t164 () (not @t157))
% 24.03/24.20  (define @t165 () (not @t164))
% 24.03/24.20  (define @t166 () (and @t121 @t120 @t165 @t117 @t116))
% 24.03/24.20  (define @t167 () (not @t161))
% 24.03/24.20  (define @t168 () (not @t167))
% 24.03/24.20  (define @t169 () (and @t128 @t127 @t168 @t124 @t123))
% 24.03/24.20  (define @t170 () (or @t23 @t32 @t164 @t58 @t57))
% 24.03/24.20  (define @t171 () (not @t170))
% 24.03/24.20  (define @t172 () (or @t68 @t33 @t167 @t31 @t64))
% 24.03/24.20  (define @t173 () (not @t172))
% 24.03/24.20  (define @t174 () (or @t132 @t131 @t130 @t173 @t171))
% 24.03/24.20  (define @t175 () (and @t2 @t13 @t6 @t172 @t170))
% 24.03/24.20  (define @t176 () (forall (@list @t102 @t91) @t112))
% 24.03/24.20  (define @t177 () (@list @t91))
% 24.03/24.20  (define @t178 () (forall @t177 @t94))
% 24.03/24.20  (define @t179 () (@list @t25))
% 24.03/24.20  (define @t180 () (forall @t177 @t95))
% 24.03/24.20  (define @t181 () (and @t180 @t178))
% 24.03/24.20  (define @t182 () (forall @t177 @t96))
% 24.03/24.20  (define @t183 () (or @t182 @t90))
% 24.03/24.20  (define @t184 () (forall @t177 @t97))
% 24.03/24.20  (define @t185 () (forall @t177 @t98))
% 24.03/24.20  (define @t186 () (and @t185 @t184))
% 24.03/24.20  (define @t187 () (forall @t177 @t99))
% 24.03/24.20  (define @t188 () (@list @t102))
% 24.03/24.20  (define @t189 () (forall @t188 @t105))
% 24.03/24.20  (define @t190 () (forall @t188 @t106))
% 24.03/24.20  (define @t191 () (and @t190 @t189))
% 24.03/24.20  (define @t192 () (forall @t188 @t107))
% 24.03/24.20  (define @t193 () (or @t192 @t101))
% 24.03/24.20  (define @t194 () (forall @t188 @t108))
% 24.03/24.20  (define @t195 () (forall @t188 @t109))
% 24.03/24.20  (define @t196 () (and @t195 @t194))
% 24.03/24.20  (define @t197 () (forall @t188 @t110))
% 24.03/24.20  (define @t198 () (or @t111 @t197 @t100 @t187 @t89))
% 24.03/24.20  (define @t199 () (not @t36))
% 24.03/24.20  (define @t200 () (not @t37))
% 24.03/24.20  (define @t201 () (not @t26))
% 24.03/24.20  (define @t202 () (or @t201 @t200 @t199))
% 24.03/24.20  (define @t203 () (forall @t27 @t202))
% 24.03/24.20  (define @t204 () (not @t47))
% 24.03/24.20  (define @t205 () (or @t201 @t204 @t199))
% 24.03/24.20  (define @t206 () (forall @t27 @t205))
% 24.03/24.20  (define @t207 () (not @t203))
% 24.03/24.20  (define @t208 () (not @t207))
% 24.03/24.20  (define @t209 () (or @t40 @t207))
% 24.03/24.20  (define @t210 () (and @t209 @t35))
% 24.03/24.20  (define @t211 () (not @t206))
% 24.03/24.20  (define @t212 () (not @t211))
% 24.03/24.20  (define @t213 () (or @t50 @t211))
% 24.03/24.20  (define @t214 () (and @t213 @t46))
% 24.03/24.20  (define @t215 () (or @t43 @t210))
% 24.03/24.20  (define @t216 () (not @t215))
% 24.03/24.20  (define @t217 () (or @t53 @t214))
% 24.03/24.20  (define @t218 () (not @t217))
% 24.03/24.20  (define @t219 () (or @t111 @t218 @t100 @t216 @t89))
% 24.03/24.20  (define @t220 () (and @t19 @t217 @t45 @t215 @t34))
% 24.03/24.20  (define @t221 () (forall @t20 (not @t220)))
% 24.03/24.20  (define @t222 () (not @t221))
% 24.03/24.20  (define @t223 () (forall @t27 (not @t38)))
% 24.03/24.20  (define @t224 () (not @t223))
% 24.03/24.20  (define @t225 () (forall @t27 (not @t48)))
% 24.03/24.20  (define @t226 () (not @t225))
% 24.03/24.20  (define @t227 () (forall @t20 (not @t61)))
% 24.03/24.20  (define @t228 () (not @t227))
% 24.03/24.20  (define @t229 () (forall @t20 (not @t66)))
% 24.03/24.20  (define @t230 () (not @t229))
% 24.03/24.20  (define @t231 () (@var "BOUND_VARIABLE_7994" $$unsorted))
% 24.03/24.20  (define @t232 () (not (tptp.sdtmndtplgtdt0 @t231 tptp.xR @t18)))
% 24.03/24.20  (define @t233 () (not (tptp.aElement0 @t231)))
% 24.03/24.20  (define @t234 () (or @t233 (not (tptp.aReductOfIn0 @t231 @t5 tptp.xR)) @t232))
% 24.03/24.20  (define @t235 () (and @t98 @t95 @t234 @t90 @t89))
% 24.03/24.20  (define @t236 () (@var "BOUND_VARIABLE_7984" $$unsorted))
% 24.03/24.20  (define @t237 () (not (tptp.sdtmndtplgtdt0 @t236 tptp.xR @t18)))
% 24.03/24.20  (define @t238 () (not (tptp.aElement0 @t236)))
% 24.03/24.20  (define @t239 () (or @t238 (not (tptp.aReductOfIn0 @t236 @t7 tptp.xR)) @t237))
% 24.03/24.20  (define @t240 () (and @t109 @t106 @t239 @t101 @t100))
% 24.03/24.20  (define @t241 () (or @t111 @t240 @t235))
% 24.03/24.20  (define @t242 () (@list @t18 @t236 @t231))
% 24.03/24.20  (define @t243 () (forall @t242 @t241))
% 24.03/24.20  (define @t244 () (not @t243))
% 24.03/24.20  (define @t245 () (@var "BOUND_VARIABLE_8038" $$unsorted))
% 24.03/24.20  (define @t246 () (or (not (tptp.aElement0 @t245)) (not (tptp.aReductOfIn0 @t245 @t1 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t245 tptp.xR @t5))))
% 24.03/24.20  (define @t247 () (and @t120 @t246))
% 24.03/24.20  (define @t248 () (or @t247 @t117))
% 24.03/24.20  (define @t249 () (and @t121 @t248))
% 24.03/24.20  (define @t250 () (@var "BOUND_VARIABLE_8026" $$unsorted))
% 24.03/24.20  (define @t251 () (or (not (tptp.aElement0 @t250)) (not (tptp.aReductOfIn0 @t250 @t1 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t250 tptp.xR @t7))))
% 24.03/24.20  (define @t252 () (and @t127 @t251))
% 24.03/24.20  (define @t253 () (or @t252 @t124))
% 24.03/24.20  (define @t254 () (and @t128 @t253))
% 24.03/24.20  (define @t255 () (or @t132 @t131 @t130 @t254 @t123 @t249 @t116 @t244))
% 24.03/24.20  (define @t256 () (forall (@list @t1 @t7 @t5 @t250 @t245) @t255))
% 24.03/24.20  (define @t257 () (@quantifiers_skolemize @t256 2))
% 24.03/24.20  (define @t258 () (not (tptp.sdtmndtasgtdt0 @t257 tptp.xR @t18)))
% 24.03/24.20  (define @t259 () (not (tptp.sdtmndtplgtdt0 @t257 tptp.xR @t18)))
% 24.03/24.20  (define @t260 () (not (tptp.aReductOfIn0 @t18 @t257 tptp.xR)))
% 24.03/24.20  (define @t261 () (or (and @t260 (or @t93 (not (tptp.aReductOfIn0 @t91 @t257 tptp.xR)) @t92)) @t259))
% 24.03/24.20  (define @t262 () (not (= @t18 @t257)))
% 24.03/24.20  (define @t263 () (@quantifiers_skolemize @t256 1))
% 24.03/24.20  (define @t264 () (not (tptp.sdtmndtasgtdt0 @t263 tptp.xR @t18)))
% 24.03/24.20  (define @t265 () (not (tptp.sdtmndtplgtdt0 @t263 tptp.xR @t18)))
% 24.03/24.20  (define @t266 () (not (tptp.aReductOfIn0 @t18 @t263 tptp.xR)))
% 24.03/24.20  (define @t267 () (or (and @t266 (or @t104 (not (tptp.aReductOfIn0 @t102 @t263 tptp.xR)) @t103)) @t265))
% 24.03/24.20  (define @t268 () (not (= @t18 @t263)))
% 24.03/24.20  (define @t269 () (forall @t113 (or @t111 (and @t268 @t267) @t264 (and @t262 @t261) @t258)))
% 24.03/24.20  (define @t270 () (@quantifiers_skolemize @t269 0))
% 24.03/24.20  (define @t271 () (tptp.aElement0 @t270))
% 24.03/24.20  (define @t272 () (tptp.sdtmndtasgtdt0 @t257 tptp.xR @t270))
% 24.03/24.20  (define @t273 () (not @t272))
% 24.03/24.20  (define @t274 () (not (tptp.sdtmndtplgtdt0 @t257 tptp.xR @t270)))
% 24.03/24.20  (define @t275 () (@quantifiers_skolemize @t269 2))
% 24.03/24.20  (define @t276 () (not (tptp.aReductOfIn0 @t270 @t257 tptp.xR)))
% 24.03/24.20  (define @t277 () (or (and @t276 (or (not (tptp.aElement0 @t275)) (not (tptp.aReductOfIn0 @t275 @t257 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t275 tptp.xR @t270)))) @t274))
% 24.03/24.20  (define @t278 () (not (= @t257 @t270)))
% 24.03/24.20  (define @t279 () (tptp.sdtmndtasgtdt0 @t263 tptp.xR @t270))
% 24.03/24.20  (define @t280 () (not @t279))
% 24.03/24.20  (define @t281 () (not (tptp.sdtmndtplgtdt0 @t263 tptp.xR @t270)))
% 24.03/24.20  (define @t282 () (@quantifiers_skolemize @t269 1))
% 24.03/24.20  (define @t283 () (not (tptp.aReductOfIn0 @t270 @t263 tptp.xR)))
% 24.03/24.20  (define @t284 () (or (and @t283 (or (not (tptp.aElement0 @t282)) (not (tptp.aReductOfIn0 @t282 @t263 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t282 tptp.xR @t270)))) @t281))
% 24.03/24.20  (define @t285 () (not (= @t263 @t270)))
% 24.03/24.20  (define @t286 () (not @t271))
% 24.03/24.20  (define @t287 () (or @t286 (and @t285 @t284) @t280 (and @t278 @t277) @t273))
% 24.03/24.20  (define @t288 () (not (tptp.sdtmndtplgtdt0 tptp.xR tptp.xR @t270)))
% 24.03/24.20  (define @t289 () (not (tptp.aReductOfIn0 tptp.xR @t263 tptp.xR)))
% 24.03/24.20  (define @t290 () (not (tptp.aElement0 tptp.xR)))
% 24.03/24.20  (define @t291 () (or @t290 @t289 @t288))
% 24.03/24.20  (define @t292 () (and @t285 @t283 @t291 @t281 @t280))
% 24.03/24.20  (define @t293 () (not (tptp.aReductOfIn0 tptp.xR @t257 tptp.xR)))
% 24.03/24.20  (define @t294 () (or @t290 @t293 @t288))
% 24.03/24.20  (define @t295 () (and @t278 @t276 @t294 @t274 @t273))
% 24.03/24.20  (define @t296 () (forall (@list @t250 @t245) @t255))
% 24.03/24.20  (define @t297 () (@list @t245))
% 24.03/24.20  (define @t298 () (forall @t297 @t246))
% 24.03/24.20  (define @t299 () (forall @t297 @t120))
% 24.03/24.20  (define @t300 () (and @t299 @t298))
% 24.03/24.20  (define @t301 () (forall @t297 @t247))
% 24.03/24.20  (define @t302 () (or @t301 @t117))
% 24.03/24.20  (define @t303 () (forall @t297 @t248))
% 24.03/24.20  (define @t304 () (forall @t297 @t121))
% 24.03/24.20  (define @t305 () (and @t304 @t303))
% 24.03/24.20  (define @t306 () (forall @t297 @t249))
% 24.03/24.20  (define @t307 () (@list @t250))
% 24.03/24.20  (define @t308 () (forall @t307 @t251))
% 24.03/24.20  (define @t309 () (forall @t307 @t127))
% 24.03/24.20  (define @t310 () (and @t309 @t308))
% 24.03/24.20  (define @t311 () (forall @t307 @t252))
% 24.03/24.20  (define @t312 () (or @t311 @t124))
% 24.03/24.20  (define @t313 () (forall @t307 @t253))
% 24.03/24.20  (define @t314 () (forall @t307 @t128))
% 24.03/24.20  (define @t315 () (and @t314 @t313))
% 24.03/24.20  (define @t316 () (forall @t307 @t254))
% 24.03/24.20  (define @t317 () (or @t132 @t131 @t130 @t316 @t123 @t306 @t116 @t244))
% 24.03/24.20  (define @t318 () (and @t121 (or (and @t120 @t157) @t117)))
% 24.03/24.20  (define @t319 () (and @t128 (or (and @t127 @t161) @t124)))
% 24.03/24.20  (define @t320 () (or @t132 @t131 @t130 @t319 @t123 @t318 @t116 @t244))
% 24.03/24.20  (define @t321 () (or @t32 @t164))
% 24.03/24.20  (define @t322 () (and @t321 @t58))
% 24.03/24.20  (define @t323 () (or @t33 @t167))
% 24.03/24.20  (define @t324 () (and @t323 @t31))
% 24.03/24.20  (define @t325 () (or @t23 @t322))
% 24.03/24.20  (define @t326 () (not @t325))
% 24.03/24.20  (define @t327 () (or @t68 @t324))
% 24.03/24.20  (define @t328 () (not @t327))
% 24.03/24.20  (define @t329 () (or @t132 @t131 @t130 @t328 @t123 @t326 @t116))
% 24.03/24.20  (define @t330 () (and @t2 @t13 @t6 @t327 @t64 @t325 @t57))
% 24.03/24.20  (define @t331 () (forall (@list @t236 @t231) @t241))
% 24.03/24.20  (define @t332 () (@list @t231))
% 24.03/24.20  (define @t333 () (forall @t332 @t89))
% 24.03/24.20  (define @t334 () (forall @t332 @t90))
% 24.03/24.20  (define @t335 () (forall @t332 @t234))
% 24.03/24.20  (define @t336 () (forall @t332 @t95))
% 24.03/24.20  (define @t337 () (forall @t332 @t98))
% 24.03/24.20  (define @t338 () (and @t337 @t336 @t335 @t334 @t333))
% 24.03/24.20  (define @t339 () (forall @t332 @t235))
% 24.03/24.20  (define @t340 () (@list @t236))
% 24.03/24.20  (define @t341 () (forall @t340 @t100))
% 24.03/24.20  (define @t342 () (forall @t340 @t101))
% 24.03/24.20  (define @t343 () (forall @t340 @t239))
% 24.03/24.20  (define @t344 () (forall @t340 @t106))
% 24.03/24.20  (define @t345 () (forall @t340 @t109))
% 24.03/24.20  (define @t346 () (and @t345 @t344 @t343 @t342 @t341))
% 24.03/24.20  (define @t347 () (forall @t340 @t240))
% 24.03/24.20  (define @t348 () (or @t111 @t347 @t339))
% 24.03/24.20  (define @t349 () (and @t98 @t95 @t208 @t90 @t89))
% 24.03/24.20  (define @t350 () (and @t109 @t106 @t212 @t101 @t100))
% 24.03/24.20  (define @t351 () (or @t43 @t40 @t207 @t35 @t34))
% 24.03/24.20  (define @t352 () (not @t351))
% 24.03/24.20  (define @t353 () (or @t53 @t50 @t211 @t46 @t45))
% 24.03/24.20  (define @t354 () (not @t353))
% 24.03/24.20  (define @t355 () (or @t111 @t354 @t352))
% 24.03/24.20  (define @t356 () (and @t19 @t353 @t351))
% 24.03/24.20  (define @t357 () (forall @t20 (not @t356)))
% 24.03/24.20  (define @t358 () (not @t357))
% 24.03/24.20  (define @t359 () (or @t233 (not (tptp.aReductOfIn0 @t231 @t257 tptp.xR)) @t232))
% 24.03/24.20  (define @t360 () (or @t238 (not (tptp.aReductOfIn0 @t236 @t263 tptp.xR)) @t237))
% 24.03/24.20  (define @t361 () (forall @t242 (or @t111 (and @t268 @t266 @t360 @t265 @t264) (and @t262 @t260 @t359 @t259 @t258))))
% 24.03/24.20  (define @t362 () (not @t361))
% 24.03/24.20  (define @t363 () (@quantifiers_skolemize @t256 0))
% 24.03/24.20  (define @t364 () (tptp.sdtmndtasgtdt0 @t363 tptp.xR @t257))
% 24.03/24.20  (define @t365 () (not @t364))
% 24.03/24.20  (define @t366 () (tptp.sdtmndtplgtdt0 @t363 tptp.xR @t257))
% 24.03/24.20  (define @t367 () (not @t366))
% 24.03/24.20  (define @t368 () (@quantifiers_skolemize @t256 4))
% 24.03/24.20  (define @t369 () (not (tptp.aReductOfIn0 @t257 @t363 tptp.xR)))
% 24.03/24.20  (define @t370 () (or (and @t369 (or (not (tptp.aElement0 @t368)) (not (tptp.aReductOfIn0 @t368 @t363 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t368 tptp.xR @t257)))) @t367))
% 24.03/24.20  (define @t371 () (= @t363 @t257))
% 24.03/24.20  (define @t372 () (not @t371))
% 24.03/24.20  (define @t373 () (and @t372 @t370))
% 24.03/24.20  (define @t374 () (not (tptp.sdtmndtasgtdt0 @t363 tptp.xR @t263)))
% 24.03/24.20  (define @t375 () (tptp.sdtmndtplgtdt0 @t363 tptp.xR @t263))
% 24.03/24.20  (define @t376 () (not @t375))
% 24.03/24.20  (define @t377 () (@quantifiers_skolemize @t256 3))
% 24.03/24.20  (define @t378 () (not (tptp.aReductOfIn0 @t263 @t363 tptp.xR)))
% 24.03/24.20  (define @t379 () (or (and @t378 (or (not (tptp.aElement0 @t377)) (not (tptp.aReductOfIn0 @t377 @t363 tptp.xR)) (not (tptp.sdtmndtplgtdt0 @t377 tptp.xR @t263)))) @t376))
% 24.03/24.20  (define @t380 () (= @t363 @t263))
% 24.03/24.20  (define @t381 () (not @t380))
% 24.03/24.20  (define @t382 () (and @t381 @t379))
% 24.03/24.20  (define @t383 () (tptp.aElement0 @t257))
% 24.03/24.20  (define @t384 () (not @t383))
% 24.03/24.20  (define @t385 () (tptp.aElement0 @t263))
% 24.03/24.20  (define @t386 () (not @t385))
% 24.03/24.20  (define @t387 () (tptp.aElement0 @t363))
% 24.03/24.20  (define @t388 () (not @t387))
% 24.03/24.20  (define @t389 () (or @t388 @t386 @t384 @t382 @t374 @t373 @t365 @t362))
% 24.03/24.20  (define @t390 () (not @t389))
% 24.03/24.20  (define @t391 () (not @t256))
% 24.03/24.20  (define @t392 () (not (= @t257 @t18)))
% 24.03/24.20  (define @t393 () (and @t392 @t260 @t359 @t259 @t258))
% 24.03/24.20  (define @t394 () (not (= @t263 @t18)))
% 24.03/24.20  (define @t395 () (and @t394 @t266 @t360 @t265 @t264))
% 24.03/24.20  (define @t396 () (or @t111 @t395 @t393))
% 24.03/24.20  (define @t397 () (forall @t242 @t396))
% 24.03/24.20  (define @t398 () (not @t397))
% 24.03/24.20  (define @t399 () (or @t388 @t386 @t384 @t382 @t374 @t373 @t365 @t398))
% 24.03/24.20  (define @t400 () (not @t399))
% 24.03/24.20  (define @t401 () (@list true))
% 24.03/24.20  (define @t402 () (@list @t389))
% 24.03/24.20  (define @t403 () (not (= @t270 @t257)))
% 24.03/24.20  (define @t404 () (and @t403 @t276 @t294 @t274 @t273))
% 24.03/24.20  (define @t405 () (not (= @t270 @t263)))
% 24.03/24.20  (define @t406 () (and @t405 @t283 @t291 @t281 @t280))
% 24.03/24.20  (define @t407 () (or @t286 @t406 @t404))
% 24.03/24.20  (define @t408 () (or @t286 @t292 @t295))
% 24.03/24.20  (define @t409 () (@list false))
% 24.03/24.20  (define @t410 () (@list @t361))
% 24.03/24.20  (define @t411 () (not @t287))
% 24.03/24.20  (define @t412 () (not @t269))
% 24.03/24.20  (define @t413 () (and @t403 @t277))
% 24.03/24.20  (define @t414 () (and @t405 @t284))
% 24.03/24.20  (define @t415 () (or @t286 @t414 @t280 @t413 @t273))
% 24.03/24.20  (define @t416 () (not @t415))
% 24.03/24.20  (define @t417 () (not (tptp.sdtmndtplgtdt0 tptp.xR tptp.xR @t257)))
% 24.03/24.20  (define @t418 () (not (tptp.aReductOfIn0 tptp.xR @t363 tptp.xR)))
% 24.03/24.20  (define @t419 () (and @t372 @t369 (or @t290 @t418 @t417) @t367 @t365))
% 24.03/24.20  (define @t420 () (not @t419))
% 24.03/24.20  (define @t421 () (not (tptp.sdtmndtplgtdt0 tptp.xR tptp.xR @t363)))
% 24.03/24.20  (define @t422 () (and @t381 (not (tptp.aReductOfIn0 @t363 @t263 tptp.xR)) (or @t290 @t289 @t421) (not (tptp.sdtmndtplgtdt0 @t263 tptp.xR @t363)) (not (tptp.sdtmndtasgtdt0 @t263 tptp.xR @t363))))
% 24.03/24.20  (define @t423 () (and @t372 (not (tptp.aReductOfIn0 @t363 @t257 tptp.xR)) (or @t290 @t293 @t421) (not (tptp.sdtmndtplgtdt0 @t257 tptp.xR @t363)) (not (tptp.sdtmndtasgtdt0 @t257 tptp.xR @t363))))
% 24.03/24.20  (define @t424 () (or @t388 @t422 @t423))
% 24.03/24.20  (define @t425 () (not @t370))
% 24.03/24.20  (define @t426 () (not (tptp.sdtmndtasgtdt0 @t263 tptp.xR @t257)))
% 24.03/24.20  (define @t427 () (tptp.sdtmndtplgtdt0 @t263 tptp.xR @t257))
% 24.03/24.20  (define @t428 () (not @t427))
% 24.03/24.20  (define @t429 () (or @t290 @t289 @t417))
% 24.03/24.20  (define @t430 () (not (tptp.aReductOfIn0 @t257 @t263 tptp.xR)))
% 24.03/24.20  (define @t431 () (and (not (= @t263 @t257)) @t430 @t429 @t428 @t426))
% 24.03/24.20  (define @t432 () (or @t384 @t431))
% 24.03/24.20  (define @t433 () (not (tptp.sdtmndtasgtdt0 @t257 tptp.xR @t257)))
% 24.03/24.20  (define @t434 () (not (tptp.sdtmndtplgtdt0 @t257 tptp.xR @t257)))
% 24.03/24.20  (define @t435 () (or @t290 @t293 @t417))
% 24.03/24.20  (define @t436 () (not (tptp.aReductOfIn0 @t257 @t257 tptp.xR)))
% 24.03/24.20  (define @t437 () (not (= @t257 @t257)))
% 24.03/24.20  (define @t438 () (and @t437 @t436 @t435 @t434 @t433))
% 24.03/24.20  (define @t439 () (not (= @t257 @t263)))
% 24.03/24.20  (define @t440 () (and @t439 @t430 @t429 @t428 @t426))
% 24.03/24.20  (define @t441 () (or @t384 @t440 @t438))
% 24.03/24.20  (define @t442 () (and @t380 @t428))
% 24.03/24.20  (define @t443 () (not @t379))
% 24.03/24.20  (define @t444 () (and @t381 @t378 (or @t290 @t418 (not (tptp.sdtmndtplgtdt0 tptp.xR tptp.xR @t263))) @t376 @t374))
% 24.03/24.20  (define @t445 () (not @t444))
% 24.03/24.20  (define @t446 () (or @t388 @t386 @t384 @t444 @t419 @t412))
% 24.03/24.20  (define @t447 () (not @t446))
% 24.03/24.20  (define @t448 () (and @t392 @t261))
% 24.03/24.20  (define @t449 () (and @t394 @t267))
% 24.03/24.20  (define @t450 () (or @t111 @t449 @t264 @t448 @t258))
% 24.03/24.20  (define @t451 () (forall @t113 @t450))
% 24.03/24.20  (define @t452 () (not @t451))
% 24.03/24.20  (define @t453 () (or @t388 @t386 @t384 @t444 @t419 @t452))
% 24.03/24.20  (assume @p1 (forall @t3 (=> @t2 true)))
% 24.03/24.20  (assume @p2 (forall @t3 (=> @t4 true)))
% 24.03/24.20  (assume @p3 (forall @t12 (=> @t11 (forall @t9 (=> @t8 @t6)))))
% 24.03/24.20  (assume @p4 (forall @t12 (=> @t14 (=> (tptp.iLess0 @t1 @t7) true))))
% 24.03/24.20  (assume @p5 (forall @t17 (=> @t16 (=> @t15 true))))
% 24.03/24.20  (assume @p6 (forall @t17 (=> @t16 (= @t15 (or @t8 (exists @t20 (and @t19 (tptp.aReductOfIn0 @t18 @t1 @t7) (tptp.sdtmndtplgtdt0 @t18 @t7 @t5))))))))
% 24.03/24.20  (assume @p7 (forall @t22 (=> @t21 (=> (and @t15 (tptp.sdtmndtplgtdt0 @t5 @t7 @t18)) (tptp.sdtmndtplgtdt0 @t1 @t7 @t18)))))
% 24.03/24.20  (assume @p8 (forall @t17 (=> @t16 (= @t24 (or @t23 @t15)))))
% 24.03/24.20  (assume @p9 (forall @t22 (=> @t21 (=> (and @t24 (tptp.sdtmndtasgtdt0 @t5 @t7 @t18)) (tptp.sdtmndtasgtdt0 @t1 @t7 @t18)))))
% 24.03/24.20  (assume @p10 (forall @t3 (=> @t4 (= (tptp.isConfluent0 @t1) (forall @t29 (=> (and @t13 @t6 @t19 (tptp.sdtmndtasgtdt0 @t7 @t1 @t5) (tptp.sdtmndtasgtdt0 @t7 @t1 @t18)) @t28))))))
% 24.03/24.20  (assume @p11 (forall @t3 (=> @t4 (= (tptp.isLocallyConfluent0 @t1) (forall @t29 (=> (and @t13 @t6 @t19 (tptp.aReductOfIn0 @t5 @t7 @t1) (tptp.aReductOfIn0 @t18 @t7 @t1)) @t28))))))
% 24.03/24.20  (assume @p12 (forall @t3 (=> @t4 (= @t30 (forall (@list @t7 @t5) (=> (and @t13 @t6) (=> (tptp.sdtmndtplgtdt0 @t7 @t1 @t5) (tptp.iLess0 @t5 @t7))))))))
% 24.03/24.20  (assume @p13 (forall @t12 (=> @t11 (forall @t9 (= (tptp.aNormalFormOfIn0 @t5 @t1 @t7) (and @t6 @t24 (not (exists @t20 (tptp.aReductOfIn0 @t18 @t5 @t7)))))))))
% 24.03/24.20  (assume @p14 (forall @t3 (=> (and @t4 @t30) (forall (@list @t7) (=> @t13 (exists @t9 (tptp.aNormalFormOfIn0 @t5 @t7 @t1)))))))
% 24.03/24.20  (assume @p15 (tptp.aRewritingSystem0 tptp.xR))
% 24.03/24.20  (assume @p16 (and (forall @t17 (=> (and @t2 @t13 @t6 @t33 @t32) @t56)) (tptp.isLocallyConfluent0 tptp.xR) (forall @t12 (=> @t14 (=> (or @t33 (exists @t9 (and @t6 @t32 (tptp.sdtmndtplgtdt0 @t5 tptp.xR @t7))) @t31) (tptp.iLess0 @t7 @t1)))) (tptp.isTerminating0 tptp.xR)))
% 24.03/24.20  (assume @p17 @t72)
% 24.03/24.20  (assume @p18 @t88)
% 24.03/24.20  (assume @p19 true)
% 24.03/24.20  (step @p20 :rule quant-merge-prenex :args ((= (forall @t17 @t135) @t134)))
% 24.03/24.20  (step @p21 :rule refl :args (@t115))
% 24.03/24.20  (step @p22 :rule quant-unused-vars :args ((= @t137 @t116)))
% 24.03/24.20  (step @p23 :rule quant-unused-vars :args ((= @t138 @t117)))
% 24.03/24.20  (step @p24 :rule alpha_equiv :args (@t139 (@list @t118) @t140))
% 24.03/24.20  (step @p25 :rule quant-unused-vars :args ((= @t141 @t120)))
% 24.03/24.20  (step @p26 :rule quant-unused-vars :args ((= @t142 @t121)))
% 24.03/24.20  (step @p27 :rule nary_cong :premises (@p26 @p25 @p24 @p23 @p22) :args (@t143))
% 24.03/24.20  (step @p28 :rule quant-miniscope-and :args ((= @t144 @t143)))
% 24.03/24.20  (step @p29 :rule trans :premises (@p28 @p27))
% 24.03/24.20  (step @p30 :rule quant-unused-vars :args ((= @t146 @t123)))
% 24.03/24.20  (step @p31 :rule quant-unused-vars :args ((= @t147 @t124)))
% 24.03/24.20  (step @p32 :rule alpha_equiv :args (@t148 (@list @t125) @t140))
% 24.03/24.20  (step @p33 :rule quant-unused-vars :args ((= @t149 @t127)))
% 24.03/24.20  (step @p34 :rule quant-unused-vars :args ((= @t150 @t128)))
% 24.03/24.20  (step @p35 :rule nary_cong :premises (@p34 @p33 @p32 @p31 @p30) :args (@t151))
% 24.03/24.20  (step @p36 :rule quant-miniscope-and :args ((= @t152 @t151)))
% 24.03/24.20  (step @p37 :rule trans :premises (@p36 @p35))
% 24.03/24.20  (step @p38 :rule refl :args (@t130))
% 24.03/24.20  (step @p39 :rule refl :args (@t131))
% 24.03/24.20  (step @p40 :rule refl :args (@t132))
% 24.03/24.20  (step @p41 :rule nary_cong :premises (@p40 @p39 @p38 @p37 @p29 @p21) :args (@t153))
% 24.03/24.20  (step @p42 :rule quant-miniscope-or :args ((= @t135 @t153)))
% 24.03/24.20  (step @p43 :rule trans :premises (@p42 @p41))
% 24.03/24.20  (step @p44 :rule symm :premises (@p43))
% 24.03/24.20  (step @p45 :rule cong :premises (@p44) :args ((forall @t17 @t163)))
% 24.03/24.20  (step @p46 :rule trans :premises (@p45 @p20))
% 24.03/24.20  (step @p47 :rule aci_norm :args ((= (or (or @t132 @t131 @t130 @t162 @t158) @t115) @t163)))
% 24.03/24.20  (step @p48 :rule refl :args (@t116))
% 24.03/24.20  (step @p49 :rule refl :args (@t117))
% 24.03/24.20  (step @p50 :rule bool-double-not-elim :args (@t157))
% 24.03/24.20  (step @p51 :rule refl :args (@t120))
% 24.03/24.20  (step @p52 :rule refl :args (@t121))
% 24.03/24.20  (step @p53 :rule nary_cong :premises (@p52 @p51 @p50 @p49 @p48) :args (@t166))
% 24.03/24.20  (step @p54 :rule aci_norm :args ((= (and @t121 (and @t120 (and @t165 (and @t117 @t116)))) @t166)))
% 24.03/24.20  (step @p55 :rule trans :premises (@p54 @p53))
% 24.03/24.20  (step @p56 :rule bool-or-de-morgan :args (@t58 @t57 false))
% 24.03/24.20  (step @p57 :rule refl :args (@t165))
% 24.03/24.20  (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((and @t165 (not (or @t58 @t57)))))
% 24.03/24.20  (step @p59 :rule bool-or-de-morgan :args (@t164 @t58 (or @t57)))
% 24.03/24.20  (step @p60 :rule trans :premises (@p59 @p58))
% 24.03/24.20  (step @p61 :rule nary_cong :premises (@p51 @p60) :args ((and @t120 (not (or @t164 @t58 @t57)))))
% 24.03/24.20  (step @p62 :rule bool-or-de-morgan :args (@t32 @t164 (or @t58 @t57)))
% 24.03/24.20  (step @p63 :rule trans :premises (@p62 @p61))
% 24.03/24.20  (step @p64 :rule nary_cong :premises (@p52 @p63) :args ((and @t121 (not (or @t32 @t164 @t58 @t57)))))
% 24.03/24.20  (step @p65 :rule bool-or-de-morgan :args (@t23 @t32 (or @t164 @t58 @t57)))
% 24.03/24.20  (step @p66 :rule trans :premises (@p65 @p64))
% 24.03/24.20  (step @p67 :rule trans :premises (@p66 @p55))
% 24.03/24.20  (step @p68 :rule refl :args (@t123))
% 24.03/24.20  (step @p69 :rule refl :args (@t124))
% 24.03/24.20  (step @p70 :rule bool-double-not-elim :args (@t161))
% 24.03/24.20  (step @p71 :rule refl :args (@t127))
% 24.03/24.20  (step @p72 :rule refl :args (@t128))
% 24.03/24.20  (step @p73 :rule nary_cong :premises (@p72 @p71 @p70 @p69 @p68) :args (@t169))
% 24.03/24.20  (step @p74 :rule aci_norm :args ((= (and @t128 (and @t127 (and @t168 (and @t124 @t123)))) @t169)))
% 24.03/24.20  (step @p75 :rule trans :premises (@p74 @p73))
% 24.03/24.20  (step @p76 :rule bool-or-de-morgan :args (@t31 @t64 false))
% 24.03/24.20  (step @p77 :rule refl :args (@t168))
% 24.03/24.20  (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((and @t168 (not (or @t31 @t64)))))
% 24.03/24.20  (step @p79 :rule bool-or-de-morgan :args (@t167 @t31 (or @t64)))
% 24.03/24.20  (step @p80 :rule trans :premises (@p79 @p78))
% 24.03/24.20  (step @p81 :rule nary_cong :premises (@p71 @p80) :args ((and @t127 (not (or @t167 @t31 @t64)))))
% 24.03/24.20  (step @p82 :rule bool-or-de-morgan :args (@t33 @t167 (or @t31 @t64)))
% 24.03/24.20  (step @p83 :rule trans :premises (@p82 @p81))
% 24.03/24.20  (step @p84 :rule nary_cong :premises (@p72 @p83) :args ((and @t128 (not (or @t33 @t167 @t31 @t64)))))
% 24.03/24.20  (step @p85 :rule bool-or-de-morgan :args (@t68 @t33 (or @t167 @t31 @t64)))
% 24.03/24.20  (step @p86 :rule trans :premises (@p85 @p84))
% 24.03/24.20  (step @p87 :rule trans :premises (@p86 @p75))
% 24.03/24.20  (step @p88 :rule nary_cong :premises (@p40 @p39 @p38 @p87 @p67) :args (@t174))
% 24.03/24.20  (step @p89 :rule aci_norm :args ((= (or @t132 (or @t131 (or @t130 (or @t173 @t171)))) @t174)))
% 24.03/24.20  (step @p90 :rule bool-and-de-morgan :args (@t172 @t170 true))
% 24.03/24.20  (step @p91 :rule nary_cong :premises (@p38 @p90) :args ((or @t130 (not (and @t172 @t170)))))
% 24.03/24.20  (step @p92 :rule bool-and-de-morgan :args (@t6 @t172 (and @t170)))
% 24.03/24.20  (step @p93 :rule trans :premises (@p92 @p91))
% 24.03/24.20  (step @p94 :rule nary_cong :premises (@p39 @p93) :args ((or @t131 (not (and @t6 @t172 @t170)))))
% 24.03/24.20  (step @p95 :rule bool-and-de-morgan :args (@t13 @t6 (and @t172 @t170)))
% 24.03/24.20  (step @p96 :rule trans :premises (@p95 @p94))
% 24.03/24.20  (step @p97 :rule nary_cong :premises (@p40 @p96) :args ((or @t132 (not (and @t13 @t6 @t172 @t170)))))
% 24.03/24.20  (step @p98 :rule bool-and-de-morgan :args (@t2 @t13 (and @t6 @t172 @t170)))
% 24.03/24.20  (step @p99 :rule trans :premises (@p98 @p97))
% 24.03/24.20  (step @p100 :rule trans :premises (@p99 @p89))
% 24.03/24.20  (step @p101 :rule trans :premises (@p100 @p88))
% 24.03/24.20  (step @p102 :rule nary_cong :premises (@p101 @p21) :args ((or (not @t175) @t115)))
% 24.03/24.20  (step @p103 :rule trans :premises (@p102 @p47))
% 24.03/24.20  (step @p104 :rule bool-impl-elim :args (@t175 @t115))
% 24.03/24.20  (step @p105 :rule trans :premises (@p104 @p103))
% 24.03/24.20  (step @p106 :rule cong :premises (@p105) :args ((forall @t17 (=> @t175 @t115))))
% 24.03/24.20  (step @p107 :rule trans :premises (@p106 @p46))
% 24.03/24.20  (step @p108 :rule quant-merge-prenex :args ((= (forall @t20 @t176) @t114)))
% 24.03/24.20  (step @p109 :rule refl :args (@t89))
% 24.03/24.20  (step @p110 :rule refl :args (@t90))
% 24.03/24.20  (step @p111 :rule alpha_equiv :args (@t178 (@list @t91) @t179))
% 24.03/24.20  (step @p112 :rule quant-unused-vars :args ((= @t180 @t95)))
% 24.03/24.20  (step @p113 :rule nary_cong :premises (@p112 @p111) :args (@t181))
% 24.03/24.20  (step @p114 :rule quant-miniscope-and :args ((= @t182 @t181)))
% 24.03/24.20  (step @p115 :rule trans :premises (@p114 @p113))
% 24.03/24.20  (step @p116 :rule nary_cong :premises (@p115 @p110) :args (@t183))
% 24.03/24.20  (step @p117 :rule quant-miniscope-or :args ((= @t184 @t183)))
% 24.03/24.20  (step @p118 :rule trans :premises (@p117 @p116))
% 24.03/24.20  (step @p119 :rule quant-unused-vars :args ((= @t185 @t98)))
% 24.03/24.20  (step @p120 :rule nary_cong :premises (@p119 @p118) :args (@t186))
% 24.03/24.20  (step @p121 :rule quant-miniscope-and :args ((= @t187 @t186)))
% 24.03/24.20  (step @p122 :rule trans :premises (@p121 @p120))
% 24.03/24.20  (step @p123 :rule refl :args (@t100))
% 24.03/24.20  (step @p124 :rule refl :args (@t101))
% 24.03/24.20  (step @p125 :rule alpha_equiv :args (@t189 (@list @t102) @t179))
% 24.03/24.20  (step @p126 :rule quant-unused-vars :args ((= @t190 @t106)))
% 24.03/24.20  (step @p127 :rule nary_cong :premises (@p126 @p125) :args (@t191))
% 24.03/24.20  (step @p128 :rule quant-miniscope-and :args ((= @t192 @t191)))
% 24.03/24.20  (step @p129 :rule trans :premises (@p128 @p127))
% 24.03/24.20  (step @p130 :rule nary_cong :premises (@p129 @p124) :args (@t193))
% 24.03/24.20  (step @p131 :rule quant-miniscope-or :args ((= @t194 @t193)))
% 24.03/24.20  (step @p132 :rule trans :premises (@p131 @p130))
% 24.03/24.20  (step @p133 :rule quant-unused-vars :args ((= @t195 @t109)))
% 24.03/24.20  (step @p134 :rule nary_cong :premises (@p133 @p132) :args (@t196))
% 24.03/24.20  (step @p135 :rule quant-miniscope-and :args ((= @t197 @t196)))
% 24.03/24.20  (step @p136 :rule trans :premises (@p135 @p134))
% 24.03/24.20  (step @p137 :rule refl :args (@t111))
% 24.03/24.20  (step @p138 :rule nary_cong :premises (@p137 @p136 @p123 @p122 @p109) :args (@t198))
% 24.03/24.20  (step @p139 :rule quant-miniscope-or :args ((= @t176 @t198)))
% 24.03/24.20  (step @p140 :rule trans :premises (@p139 @p138))
% 24.03/24.20  (step @p141 :rule symm :premises (@p140))
% 24.03/24.20  (step @p142 :rule cong :premises (@p141) :args ((forall @t20 (or @t111 (and @t109 (or (and @t106 @t206) @t101)) @t100 (and @t98 (or (and @t95 @t203) @t90)) @t89))))
% 24.03/24.20  (step @p143 :rule trans :premises (@p142 @p108))
% 24.03/24.20  (step @p144 :rule bool-double-not-elim :args (@t203))
% 24.03/24.20  (step @p145 :rule refl :args (@t95))
% 24.03/24.20  (step @p146 :rule nary_cong :premises (@p145 @p144) :args ((and @t95 @t208)))
% 24.03/24.20  (step @p147 :rule bool-or-de-morgan :args (@t40 @t207 false))
% 24.03/24.20  (step @p148 :rule trans :premises (@p147 @p146))
% 24.03/24.20  (step @p149 :rule nary_cong :premises (@p148 @p110) :args ((or (not @t209) @t90)))
% 24.03/24.20  (step @p150 :rule bool-and-de-morgan :args (@t209 @t35 true))
% 24.03/24.20  (step @p151 :rule trans :premises (@p150 @p149))
% 24.03/24.20  (step @p152 :rule refl :args (@t98))
% 24.03/24.20  (step @p153 :rule nary_cong :premises (@p152 @p151) :args ((and @t98 (not @t210))))
% 24.03/24.20  (step @p154 :rule bool-or-de-morgan :args (@t43 @t210 false))
% 24.03/24.20  (step @p155 :rule trans :premises (@p154 @p153))
% 24.03/24.20  (step @p156 :rule bool-double-not-elim :args (@t206))
% 24.03/24.20  (step @p157 :rule refl :args (@t106))
% 24.03/24.20  (step @p158 :rule nary_cong :premises (@p157 @p156) :args ((and @t106 @t212)))
% 24.03/24.20  (step @p159 :rule bool-or-de-morgan :args (@t50 @t211 false))
% 24.03/24.20  (step @p160 :rule trans :premises (@p159 @p158))
% 24.03/24.20  (step @p161 :rule nary_cong :premises (@p160 @p124) :args ((or (not @t213) @t101)))
% 24.03/24.20  (step @p162 :rule bool-and-de-morgan :args (@t213 @t46 true))
% 24.03/24.20  (step @p163 :rule trans :premises (@p162 @p161))
% 24.03/24.20  (step @p164 :rule refl :args (@t109))
% 24.03/24.20  (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((and @t109 (not @t214))))
% 24.03/24.20  (step @p166 :rule bool-or-de-morgan :args (@t53 @t214 false))
% 24.03/24.20  (step @p167 :rule trans :premises (@p166 @p165))
% 24.03/24.20  (step @p168 :rule nary_cong :premises (@p137 @p167 @p123 @p155 @p109) :args (@t219))
% 24.03/24.20  (step @p169 :rule aci_norm :args ((= (or @t111 (or @t218 (or @t100 (or @t216 @t89)))) @t219)))
% 24.03/24.20  (step @p170 :rule bool-and-de-morgan :args (@t215 @t34 true))
% 24.03/24.20  (step @p171 :rule nary_cong :premises (@p123 @p170) :args ((or @t100 (not (and @t215 @t34)))))
% 24.03/24.20  (step @p172 :rule bool-and-de-morgan :args (@t45 @t215 (and @t34)))
% 24.03/24.20  (step @p173 :rule trans :premises (@p172 @p171))
% 24.03/24.20  (step @p174 :rule refl :args (@t218))
% 24.03/24.20  (step @p175 :rule nary_cong :premises (@p174 @p173) :args ((or @t218 (not (and @t45 @t215 @t34)))))
% 24.03/24.20  (step @p176 :rule bool-and-de-morgan :args (@t217 @t45 (and @t215 @t34)))
% 24.03/24.20  (step @p177 :rule trans :premises (@p176 @p175))
% 24.03/24.20  (step @p178 :rule nary_cong :premises (@p137 @p177) :args ((or @t111 (not (and @t217 @t45 @t215 @t34)))))
% 24.03/24.20  (step @p179 :rule bool-and-de-morgan :args (@t19 @t217 (and @t45 @t215 @t34)))
% 24.03/24.20  (step @p180 :rule trans :premises (@p179 @p178))
% 24.03/24.20  (step @p181 :rule trans :premises (@p180 @p169))
% 24.03/24.20  (step @p182 :rule trans :premises (@p181 @p168))
% 24.03/24.20  (step @p183 :rule cong :premises (@p182) :args (@t221))
% 24.03/24.20  (step @p184 :rule trans :premises (@p183 @p143))
% 24.03/24.20  (step @p185 :rule cong :premises (@p184) :args (@t222))
% 24.03/24.20  (step @p186 :rule exists-elim :args ((= (exists @t20 @t220) @t222)))
% 24.03/24.20  (step @p187 :rule trans :premises (@p186 @p185))
% 24.03/24.20  (step @p188 :rule refl :args (@t34))
% 24.03/24.20  (step @p189 :rule refl :args (@t35))
% 24.03/24.20  (step @p190 :rule aci_norm :args ((= (or @t201 (or @t200 @t199)) @t202)))
% 24.03/24.20  (step @p191 :rule bool-and-de-morgan :args (@t37 @t36 true))
% 24.03/24.20  (step @p192 :rule refl :args (@t201))
% 24.03/24.20  (step @p193 :rule nary_cong :premises (@p192 @p191) :args ((or @t201 (not (and @t37 @t36)))))
% 24.03/24.20  (step @p194 :rule bool-and-de-morgan :args (@t26 @t37 (and @t36)))
% 24.03/24.20  (step @p195 :rule trans :premises (@p194 @p193))
% 24.03/24.20  (step @p196 :rule trans :premises (@p195 @p190))
% 24.03/24.20  (step @p197 :rule cong :premises (@p196) :args (@t223))
% 24.03/24.20  (step @p198 :rule cong :premises (@p197) :args (@t224))
% 24.03/24.20  (step @p199 :rule exists-elim :args ((= @t39 @t224)))
% 24.03/24.20  (step @p200 :rule trans :premises (@p199 @p198))
% 24.03/24.20  (step @p201 :rule refl :args (@t40))
% 24.03/24.20  (step @p202 :rule nary_cong :premises (@p201 @p200) :args (@t41))
% 24.03/24.20  (step @p203 :rule nary_cong :premises (@p202 @p189) :args (@t42))
% 24.03/24.20  (step @p204 :rule refl :args (@t43))
% 24.03/24.20  (step @p205 :rule nary_cong :premises (@p204 @p203) :args (@t44))
% 24.03/24.20  (step @p206 :rule refl :args (@t45))
% 24.03/24.20  (step @p207 :rule refl :args (@t46))
% 24.03/24.20  (step @p208 :rule aci_norm :args ((= (or @t201 (or @t204 @t199)) @t205)))
% 24.03/24.20  (step @p209 :rule bool-and-de-morgan :args (@t47 @t36 true))
% 24.03/24.20  (step @p210 :rule nary_cong :premises (@p192 @p209) :args ((or @t201 (not (and @t47 @t36)))))
% 24.03/24.20  (step @p211 :rule bool-and-de-morgan :args (@t26 @t47 (and @t36)))
% 24.03/24.20  (step @p212 :rule trans :premises (@p211 @p210))
% 24.03/24.20  (step @p213 :rule trans :premises (@p212 @p208))
% 24.03/24.20  (step @p214 :rule cong :premises (@p213) :args (@t225))
% 24.03/24.20  (step @p215 :rule cong :premises (@p214) :args (@t226))
% 24.03/24.20  (step @p216 :rule exists-elim :args ((= @t49 @t226)))
% 24.03/24.20  (step @p217 :rule trans :premises (@p216 @p215))
% 24.03/24.20  (step @p218 :rule refl :args (@t50))
% 24.03/24.20  (step @p219 :rule nary_cong :premises (@p218 @p217) :args (@t51))
% 24.03/24.20  (step @p220 :rule nary_cong :premises (@p219 @p207) :args (@t52))
% 24.03/24.20  (step @p221 :rule refl :args (@t53))
% 24.03/24.20  (step @p222 :rule nary_cong :premises (@p221 @p220) :args (@t54))
% 24.03/24.20  (step @p223 :rule refl :args (@t19))
% 24.03/24.20  (step @p224 :rule nary_cong :premises (@p223 @p222 @p206 @p205 @p188) :args (@t55))
% 24.03/24.20  (step @p225 :rule cong :premises (@p224) :args (@t56))
% 24.03/24.20  (step @p226 :rule trans :premises (@p225 @p187))
% 24.03/24.20  (step @p227 :rule refl :args (@t57))
% 24.03/24.20  (step @p228 :rule refl :args (@t58))
% 24.03/24.20  (step @p229 :rule aci_norm :args ((= (or @t111 (or @t155 @t154)) @t156)))
% 24.03/24.20  (step @p230 :rule bool-and-de-morgan :args (@t60 @t59 true))
% 24.03/24.20  (step @p231 :rule nary_cong :premises (@p137 @p230) :args ((or @t111 (not (and @t60 @t59)))))
% 24.03/24.20  (step @p232 :rule bool-and-de-morgan :args (@t19 @t60 (and @t59)))
% 24.03/24.20  (step @p233 :rule trans :premises (@p232 @p231))
% 24.03/24.20  (step @p234 :rule trans :premises (@p233 @p229))
% 24.03/24.20  (step @p235 :rule cong :premises (@p234) :args (@t227))
% 24.03/24.20  (step @p236 :rule cong :premises (@p235) :args (@t228))
% 24.03/24.20  (step @p237 :rule exists-elim :args ((= @t62 @t228)))
% 24.03/24.20  (step @p238 :rule trans :premises (@p237 @p236))
% 24.03/24.20  (step @p239 :rule refl :args (@t32))
% 24.03/24.20  (step @p240 :rule refl :args (@t23))
% 24.03/24.20  (step @p241 :rule nary_cong :premises (@p240 @p239 @p238 @p228 @p227) :args (@t63))
% 24.03/24.20  (step @p242 :rule refl :args (@t64))
% 24.03/24.20  (step @p243 :rule refl :args (@t31))
% 24.03/24.20  (step @p244 :rule aci_norm :args ((= (or @t111 (or @t155 @t159)) @t160)))
% 24.03/24.20  (step @p245 :rule bool-and-de-morgan :args (@t60 @t65 true))
% 24.03/24.20  (step @p246 :rule nary_cong :premises (@p137 @p245) :args ((or @t111 (not (and @t60 @t65)))))
% 24.03/24.20  (step @p247 :rule bool-and-de-morgan :args (@t19 @t60 (and @t65)))
% 24.03/24.20  (step @p248 :rule trans :premises (@p247 @p246))
% 24.03/24.20  (step @p249 :rule trans :premises (@p248 @p244))
% 24.03/24.20  (step @p250 :rule cong :premises (@p249) :args (@t229))
% 24.03/24.20  (step @p251 :rule cong :premises (@p250) :args (@t230))
% 24.03/24.20  (step @p252 :rule exists-elim :args ((= @t67 @t230)))
% 24.03/24.20  (step @p253 :rule trans :premises (@p252 @p251))
% 24.03/24.20  (step @p254 :rule refl :args (@t33))
% 24.03/24.20  (step @p255 :rule refl :args (@t68))
% 24.03/24.20  (step @p256 :rule nary_cong :premises (@p255 @p254 @p253 @p243 @p242) :args (@t69))
% 24.03/24.20  (step @p257 :rule refl :args (@t6))
% 24.03/24.20  (step @p258 :rule refl :args (@t13))
% 24.03/24.20  (step @p259 :rule refl :args (@t2))
% 24.03/24.20  (step @p260 :rule nary_cong :premises (@p259 @p258 @p257 @p256 @p241) :args (@t70))
% 24.03/24.20  (step @p261 :rule cong :premises (@p260 @p226) :args (@t71))
% 24.03/24.20  (step @p262 :rule cong :premises (@p261) :args (@t72))
% 24.03/24.20  (step @p263 :rule trans :premises (@p262 @p107))
% 24.03/24.20  (step @p264 :rule eq_resolve :premises (@p17 @p263))
% 24.03/24.20  (step @p265 :rule bool-double-not-elim :args (@t271))
% 24.03/24.20  (step @p266 :rule refl :args (@t287))
% 24.03/24.20  (step @p267 :rule nary_cong :premises (@p266 @p265) :args ((or @t287 (not @t286))))
% 24.03/24.20  (step @p268 :rule cnf_or_neg :args (@t287 0))
% 24.03/24.20  (step @p269 :rule eq_resolve :premises (@p268 @p267))
% 24.03/24.20  (step @p270 :rule reordering :premises (@p269) :args ((or @t271 @t287)))
% 24.03/24.20  (step @p271 :rule bool-double-not-elim :args (@t279))
% 24.03/24.20  (step @p272 :rule nary_cong :premises (@p266 @p271) :args ((or @t287 (not @t280))))
% 24.03/24.20  (step @p273 :rule cnf_or_neg :args (@t287 2))
% 24.03/24.20  (step @p274 :rule eq_resolve :premises (@p273 @p272))
% 24.03/24.20  (step @p275 :rule reordering :premises (@p274) :args ((or @t279 @t287)))
% 24.03/24.20  (step @p276 :rule bool-double-not-elim :args (@t272))
% 24.03/24.20  (step @p277 :rule nary_cong :premises (@p266 @p276) :args ((or @t287 (not @t273))))
% 24.03/24.20  (step @p278 :rule cnf_or_neg :args (@t287 4))
% 24.03/24.20  (step @p279 :rule eq_resolve :premises (@p278 @p277))
% 24.03/24.20  (step @p280 :rule reordering :premises (@p279) :args ((or @t272 @t287)))
% 24.03/24.20  (step @p281 :rule cnf_and_pos :args (@t292 4))
% 24.03/24.20  (step @p282 :rule reordering :premises (@p281) :args ((or @t280 (not @t292))))
% 24.03/24.20  (step @p283 :rule cnf_and_pos :args (@t295 4))
% 24.03/24.20  (step @p284 :rule reordering :premises (@p283) :args ((or @t273 (not @t295))))
% 24.03/24.20  (step @p285 :rule refl :args (@t73))
% 24.03/24.20  (step @p286 :rule quant-merge-prenex :args ((= (forall @t17 @t296) @t256)))
% 24.03/24.20  (step @p287 :rule refl :args (@t244))
% 24.03/24.20  (step @p288 :rule alpha_equiv :args (@t298 (@list @t245) @t140))
% 24.03/24.20  (step @p289 :rule quant-unused-vars :args ((= @t299 @t120)))
% 24.03/24.20  (step @p290 :rule nary_cong :premises (@p289 @p288) :args (@t300))
% 24.03/24.20  (step @p291 :rule quant-miniscope-and :args ((= @t301 @t300)))
% 24.03/24.20  (step @p292 :rule trans :premises (@p291 @p290))
% 24.03/24.20  (step @p293 :rule nary_cong :premises (@p292 @p49) :args (@t302))
% 24.03/24.20  (step @p294 :rule quant-miniscope-or :args ((= @t303 @t302)))
% 24.03/24.20  (step @p295 :rule trans :premises (@p294 @p293))
% 24.03/24.20  (step @p296 :rule quant-unused-vars :args ((= @t304 @t121)))
% 24.03/24.20  (step @p297 :rule nary_cong :premises (@p296 @p295) :args (@t305))
% 24.03/24.20  (step @p298 :rule quant-miniscope-and :args ((= @t306 @t305)))
% 24.03/24.20  (step @p299 :rule trans :premises (@p298 @p297))
% 24.03/24.20  (step @p300 :rule alpha_equiv :args (@t308 (@list @t250) @t140))
% 24.03/24.20  (step @p301 :rule quant-unused-vars :args ((= @t309 @t127)))
% 24.03/24.20  (step @p302 :rule nary_cong :premises (@p301 @p300) :args (@t310))
% 24.03/24.20  (step @p303 :rule quant-miniscope-and :args ((= @t311 @t310)))
% 24.03/24.20  (step @p304 :rule trans :premises (@p303 @p302))
% 24.03/24.20  (step @p305 :rule nary_cong :premises (@p304 @p69) :args (@t312))
% 24.03/24.20  (step @p306 :rule quant-miniscope-or :args ((= @t313 @t312)))
% 24.03/24.20  (step @p307 :rule trans :premises (@p306 @p305))
% 24.03/24.20  (step @p308 :rule quant-unused-vars :args ((= @t314 @t128)))
% 24.03/24.20  (step @p309 :rule nary_cong :premises (@p308 @p307) :args (@t315))
% 24.03/24.20  (step @p310 :rule quant-miniscope-and :args ((= @t316 @t315)))
% 24.03/24.20  (step @p311 :rule trans :premises (@p310 @p309))
% 24.03/24.20  (step @p312 :rule nary_cong :premises (@p40 @p39 @p38 @p311 @p68 @p299 @p48 @p287) :args (@t317))
% 24.03/24.20  (step @p313 :rule quant-miniscope-or :args ((= @t296 @t317)))
% 24.03/24.20  (step @p314 :rule trans :premises (@p313 @p312))
% 24.03/24.20  (step @p315 :rule symm :premises (@p314))
% 24.03/24.20  (step @p316 :rule cong :premises (@p315) :args ((forall @t17 @t320)))
% 24.03/24.20  (step @p317 :rule trans :premises (@p316 @p286))
% 24.03/24.20  (step @p318 :rule aci_norm :args ((= (or (or @t132 @t131 @t130 @t319 @t123 @t318 @t116) @t244) @t320)))
% 24.03/24.20  (step @p319 :rule nary_cong :premises (@p51 @p50) :args ((and @t120 @t165)))
% 24.03/24.20  (step @p320 :rule bool-or-de-morgan :args (@t32 @t164 false))
% 24.03/24.20  (step @p321 :rule trans :premises (@p320 @p319))
% 24.03/24.20  (step @p322 :rule nary_cong :premises (@p321 @p49) :args ((or (not @t321) @t117)))
% 24.03/24.20  (step @p323 :rule bool-and-de-morgan :args (@t321 @t58 true))
% 24.03/24.20  (step @p324 :rule trans :premises (@p323 @p322))
% 24.03/24.20  (step @p325 :rule nary_cong :premises (@p52 @p324) :args ((and @t121 (not @t322))))
% 24.03/24.20  (step @p326 :rule bool-or-de-morgan :args (@t23 @t322 false))
% 24.03/24.20  (step @p327 :rule trans :premises (@p326 @p325))
% 24.03/24.20  (step @p328 :rule nary_cong :premises (@p71 @p70) :args ((and @t127 @t168)))
% 24.03/24.20  (step @p329 :rule bool-or-de-morgan :args (@t33 @t167 false))
% 24.03/24.20  (step @p330 :rule trans :premises (@p329 @p328))
% 24.03/24.20  (step @p331 :rule nary_cong :premises (@p330 @p69) :args ((or (not @t323) @t124)))
% 24.03/24.20  (step @p332 :rule bool-and-de-morgan :args (@t323 @t31 true))
% 24.03/24.20  (step @p333 :rule trans :premises (@p332 @p331))
% 24.03/24.20  (step @p334 :rule nary_cong :premises (@p72 @p333) :args ((and @t128 (not @t324))))
% 24.03/24.20  (step @p335 :rule bool-or-de-morgan :args (@t68 @t324 false))
% 24.03/24.20  (step @p336 :rule trans :premises (@p335 @p334))
% 24.03/24.20  (step @p337 :rule nary_cong :premises (@p40 @p39 @p38 @p336 @p68 @p327 @p48) :args (@t329))
% 24.03/24.20  (step @p338 :rule aci_norm :args ((= (or @t132 (or @t131 (or @t130 (or @t328 (or @t123 (or @t326 @t116)))))) @t329)))
% 24.03/24.20  (step @p339 :rule bool-and-de-morgan :args (@t325 @t57 true))
% 24.03/24.20  (step @p340 :rule nary_cong :premises (@p68 @p339) :args ((or @t123 (not (and @t325 @t57)))))
% 24.03/24.20  (step @p341 :rule bool-and-de-morgan :args (@t64 @t325 (and @t57)))
% 24.03/24.20  (step @p342 :rule trans :premises (@p341 @p340))
% 24.03/24.20  (step @p343 :rule refl :args (@t328))
% 24.03/24.20  (step @p344 :rule nary_cong :premises (@p343 @p342) :args ((or @t328 (not (and @t64 @t325 @t57)))))
% 24.03/24.20  (step @p345 :rule bool-and-de-morgan :args (@t327 @t64 (and @t325 @t57)))
% 24.03/24.20  (step @p346 :rule trans :premises (@p345 @p344))
% 24.03/24.20  (step @p347 :rule nary_cong :premises (@p38 @p346) :args ((or @t130 (not (and @t327 @t64 @t325 @t57)))))
% 24.03/24.20  (step @p348 :rule bool-and-de-morgan :args (@t6 @t327 (and @t64 @t325 @t57)))
% 24.03/24.20  (step @p349 :rule trans :premises (@p348 @p347))
% 24.03/24.20  (step @p350 :rule nary_cong :premises (@p39 @p349) :args ((or @t131 (not (and @t6 @t327 @t64 @t325 @t57)))))
% 24.03/24.20  (step @p351 :rule bool-and-de-morgan :args (@t13 @t6 (and @t327 @t64 @t325 @t57)))
% 24.03/24.20  (step @p352 :rule trans :premises (@p351 @p350))
% 24.03/24.20  (step @p353 :rule nary_cong :premises (@p40 @p352) :args ((or @t132 (not (and @t13 @t6 @t327 @t64 @t325 @t57)))))
% 24.03/24.20  (step @p354 :rule bool-and-de-morgan :args (@t2 @t13 (and @t6 @t327 @t64 @t325 @t57)))
% 24.03/24.20  (step @p355 :rule trans :premises (@p354 @p353))
% 24.03/24.20  (step @p356 :rule trans :premises (@p355 @p338))
% 24.03/24.20  (step @p357 :rule trans :premises (@p356 @p337))
% 24.03/24.20  (step @p358 :rule nary_cong :premises (@p357 @p287) :args ((or (not @t330) @t244)))
% 24.03/24.20  (step @p359 :rule trans :premises (@p358 @p318))
% 24.03/24.20  (step @p360 :rule bool-impl-elim :args (@t330 @t244))
% 24.03/24.20  (step @p361 :rule trans :premises (@p360 @p359))
% 24.03/24.20  (step @p362 :rule cong :premises (@p361) :args ((forall @t17 (=> @t330 @t244))))
% 24.03/24.20  (step @p363 :rule trans :premises (@p362 @p317))
% 24.03/24.20  (step @p364 :rule quant-merge-prenex :args ((= (forall @t20 @t331) @t243)))
% 24.03/24.20  (step @p365 :rule quant-unused-vars :args ((= @t333 @t89)))
% 24.03/24.20  (step @p366 :rule quant-unused-vars :args ((= @t334 @t90)))
% 24.03/24.20  (step @p367 :rule alpha_equiv :args (@t335 (@list @t231) @t179))
% 24.03/24.20  (step @p368 :rule quant-unused-vars :args ((= @t336 @t95)))
% 24.03/24.20  (step @p369 :rule quant-unused-vars :args ((= @t337 @t98)))
% 24.03/24.20  (step @p370 :rule nary_cong :premises (@p369 @p368 @p367 @p366 @p365) :args (@t338))
% 24.03/24.20  (step @p371 :rule quant-miniscope-and :args ((= @t339 @t338)))
% 24.03/24.20  (step @p372 :rule trans :premises (@p371 @p370))
% 24.03/24.20  (step @p373 :rule quant-unused-vars :args ((= @t341 @t100)))
% 24.03/24.20  (step @p374 :rule quant-unused-vars :args ((= @t342 @t101)))
% 24.03/24.20  (step @p375 :rule alpha_equiv :args (@t343 (@list @t236) @t179))
% 24.03/24.20  (step @p376 :rule quant-unused-vars :args ((= @t344 @t106)))
% 24.03/24.20  (step @p377 :rule quant-unused-vars :args ((= @t345 @t109)))
% 24.03/24.20  (step @p378 :rule nary_cong :premises (@p377 @p376 @p375 @p374 @p373) :args (@t346))
% 24.03/24.20  (step @p379 :rule quant-miniscope-and :args ((= @t347 @t346)))
% 24.03/24.20  (step @p380 :rule trans :premises (@p379 @p378))
% 24.03/24.20  (step @p381 :rule nary_cong :premises (@p137 @p380 @p372) :args (@t348))
% 24.03/24.20  (step @p382 :rule quant-miniscope-or :args ((= @t331 @t348)))
% 24.03/24.20  (step @p383 :rule trans :premises (@p382 @p381))
% 24.03/24.20  (step @p384 :rule symm :premises (@p383))
% 24.03/24.20  (step @p385 :rule cong :premises (@p384) :args ((forall @t20 (or @t111 (and @t109 @t106 @t206 @t101 @t100) (and @t98 @t95 @t203 @t90 @t89)))))
% 24.03/24.20  (step @p386 :rule trans :premises (@p385 @p364))
% 24.03/24.20  (step @p387 :rule nary_cong :premises (@p152 @p145 @p144 @p110 @p109) :args (@t349))
% 24.03/24.20  (step @p388 :rule aci_norm :args ((= (and @t98 (and @t95 (and @t208 (and @t90 @t89)))) @t349)))
% 24.03/24.20  (step @p389 :rule trans :premises (@p388 @p387))
% 24.03/24.20  (step @p390 :rule bool-or-de-morgan :args (@t35 @t34 false))
% 24.03/24.20  (step @p391 :rule refl :args (@t208))
% 24.03/24.20  (step @p392 :rule nary_cong :premises (@p391 @p390) :args ((and @t208 (not (or @t35 @t34)))))
% 24.03/24.20  (step @p393 :rule bool-or-de-morgan :args (@t207 @t35 (or @t34)))
% 24.03/24.20  (step @p394 :rule trans :premises (@p393 @p392))
% 24.03/24.20  (step @p395 :rule nary_cong :premises (@p145 @p394) :args ((and @t95 (not (or @t207 @t35 @t34)))))
% 24.03/24.20  (step @p396 :rule bool-or-de-morgan :args (@t40 @t207 (or @t35 @t34)))
% 24.03/24.20  (step @p397 :rule trans :premises (@p396 @p395))
% 24.03/24.20  (step @p398 :rule nary_cong :premises (@p152 @p397) :args ((and @t98 (not (or @t40 @t207 @t35 @t34)))))
% 24.03/24.20  (step @p399 :rule bool-or-de-morgan :args (@t43 @t40 (or @t207 @t35 @t34)))
% 24.03/24.20  (step @p400 :rule trans :premises (@p399 @p398))
% 24.03/24.20  (step @p401 :rule trans :premises (@p400 @p389))
% 24.03/24.20  (step @p402 :rule nary_cong :premises (@p164 @p157 @p156 @p124 @p123) :args (@t350))
% 24.03/24.20  (step @p403 :rule aci_norm :args ((= (and @t109 (and @t106 (and @t212 (and @t101 @t100)))) @t350)))
% 24.03/24.20  (step @p404 :rule trans :premises (@p403 @p402))
% 24.03/24.20  (step @p405 :rule bool-or-de-morgan :args (@t46 @t45 false))
% 24.03/24.20  (step @p406 :rule refl :args (@t212))
% 24.03/24.20  (step @p407 :rule nary_cong :premises (@p406 @p405) :args ((and @t212 (not (or @t46 @t45)))))
% 24.03/24.20  (step @p408 :rule bool-or-de-morgan :args (@t211 @t46 (or @t45)))
% 24.03/24.20  (step @p409 :rule trans :premises (@p408 @p407))
% 24.03/24.20  (step @p410 :rule nary_cong :premises (@p157 @p409) :args ((and @t106 (not (or @t211 @t46 @t45)))))
% 24.03/24.20  (step @p411 :rule bool-or-de-morgan :args (@t50 @t211 (or @t46 @t45)))
% 24.03/24.20  (step @p412 :rule trans :premises (@p411 @p410))
% 24.03/24.20  (step @p413 :rule nary_cong :premises (@p164 @p412) :args ((and @t109 (not (or @t50 @t211 @t46 @t45)))))
% 24.03/24.20  (step @p414 :rule bool-or-de-morgan :args (@t53 @t50 (or @t211 @t46 @t45)))
% 24.03/24.20  (step @p415 :rule trans :premises (@p414 @p413))
% 24.03/24.20  (step @p416 :rule trans :premises (@p415 @p404))
% 24.03/24.20  (step @p417 :rule nary_cong :premises (@p137 @p416 @p401) :args (@t355))
% 24.03/24.20  (step @p418 :rule aci_norm :args ((= (or @t111 (or @t354 @t352)) @t355)))
% 24.03/24.20  (step @p419 :rule bool-and-de-morgan :args (@t353 @t351 true))
% 24.03/24.20  (step @p420 :rule nary_cong :premises (@p137 @p419) :args ((or @t111 (not (and @t353 @t351)))))
% 24.03/24.20  (step @p421 :rule bool-and-de-morgan :args (@t19 @t353 (and @t351)))
% 24.03/24.20  (step @p422 :rule trans :premises (@p421 @p420))
% 24.03/24.20  (step @p423 :rule trans :premises (@p422 @p418))
% 24.03/24.20  (step @p424 :rule trans :premises (@p423 @p417))
% 24.03/24.20  (step @p425 :rule cong :premises (@p424) :args (@t357))
% 24.03/24.20  (step @p426 :rule trans :premises (@p425 @p386))
% 24.03/24.20  (step @p427 :rule cong :premises (@p426) :args (@t358))
% 24.03/24.20  (step @p428 :rule exists-elim :args ((= (exists @t20 @t356) @t358)))
% 24.03/24.20  (step @p429 :rule trans :premises (@p428 @p427))
% 24.03/24.20  (step @p430 :rule nary_cong :premises (@p204 @p201 @p200 @p189 @p188) :args (@t74))
% 24.03/24.20  (step @p431 :rule nary_cong :premises (@p221 @p218 @p217 @p207 @p206) :args (@t75))
% 24.03/24.20  (step @p432 :rule nary_cong :premises (@p223 @p431 @p430) :args (@t76))
% 24.03/24.20  (step @p433 :rule cong :premises (@p432) :args (@t77))
% 24.03/24.20  (step @p434 :rule trans :premises (@p433 @p429))
% 24.03/24.20  (step @p435 :rule nary_cong :premises (@p239 @p238) :args (@t78))
% 24.03/24.20  (step @p436 :rule nary_cong :premises (@p435 @p228) :args (@t79))
% 24.03/24.20  (step @p437 :rule nary_cong :premises (@p240 @p436) :args (@t80))
% 24.03/24.20  (step @p438 :rule nary_cong :premises (@p254 @p253) :args (@t81))
% 24.03/24.20  (step @p439 :rule nary_cong :premises (@p438 @p243) :args (@t82))
% 24.03/24.20  (step @p440 :rule nary_cong :premises (@p255 @p439) :args (@t83))
% 24.03/24.20  (step @p441 :rule nary_cong :premises (@p259 @p258 @p257 @p440 @p242 @p437 @p227) :args (@t84))
% 24.03/24.20  (step @p442 :rule cong :premises (@p441 @p434) :args (@t85))
% 24.03/24.20  (step @p443 :rule cong :premises (@p442) :args (@t86))
% 24.03/24.20  (step @p444 :rule trans :premises (@p443 @p363))
% 24.03/24.20  (step @p445 :rule nary_cong :premises (@p444 @p285) :args (@t87))
% 24.03/24.20  (step @p446 :rule cong :premises (@p445) :args (@t88))
% 24.03/24.20  (step @p447 :rule eq_resolve :premises (@p18 @p446))
% 24.03/24.20  (step @p448 :rule not_or_elim :premises (@p447) :args (0))
% 24.03/24.20  (step @p449 :rule refl :args (@t390))
% 24.03/24.20  (step @p450 :rule bool-double-not-elim :args (@t256))
% 24.03/24.20  (step @p451 :rule nary_cong :premises (@p450 @p449) :args ((or (not @t391) @t390)))
% 24.03/24.20  (step @p452 :rule refl :args (@t258))
% 24.03/24.20  (step @p453 :rule refl :args (@t259))
% 24.03/24.20  (step @p454 :rule refl :args (@t359))
% 24.03/24.20  (step @p455 :rule refl :args (@t260))
% 24.03/24.20  (step @p456 :rule eq-symm :args (@t257 @t18))
% 24.03/24.20  (step @p457 :rule cong :premises (@p456) :args (@t392))
% 24.03/24.20  (step @p458 :rule nary_cong :premises (@p457 @p455 @p454 @p453 @p452) :args (@t393))
% 24.03/24.20  (step @p459 :rule refl :args (@t264))
% 24.03/24.20  (step @p460 :rule refl :args (@t265))
% 24.03/24.20  (step @p461 :rule refl :args (@t360))
% 24.03/24.20  (step @p462 :rule refl :args (@t266))
% 24.03/24.20  (step @p463 :rule eq-symm :args (@t263 @t18))
% 24.03/24.20  (step @p464 :rule cong :premises (@p463) :args (@t394))
% 24.03/24.20  (step @p465 :rule nary_cong :premises (@p464 @p462 @p461 @p460 @p459) :args (@t395))
% 24.03/24.20  (step @p466 :rule refl :args (@t111))
% 24.03/24.20  (step @p467 :rule nary_cong :premises (@p466 @p465 @p458) :args (@t396))
% 24.03/24.20  (step @p468 :rule cong :premises (@p467) :args (@t397))
% 24.03/24.20  (step @p469 :rule cong :premises (@p468) :args (@t398))
% 24.03/24.20  (step @p470 :rule refl :args (@t365))
% 24.03/24.20  (step @p471 :rule refl :args (@t373))
% 24.03/24.20  (step @p472 :rule refl :args (@t374))
% 24.03/24.20  (step @p473 :rule refl :args (@t382))
% 24.03/24.20  (step @p474 :rule refl :args (@t384))
% 24.03/24.20  (step @p475 :rule refl :args (@t386))
% 24.03/24.20  (step @p476 :rule refl :args (@t388))
% 24.03/24.20  (step @p477 :rule nary_cong :premises (@p476 @p475 @p474 @p473 @p472 @p471 @p470 @p469) :args (@t399))
% 24.03/24.20  (step @p478 :rule cong :premises (@p477) :args (@t400))
% 24.03/24.20  (step @p479 :rule refl :args (@t391))
% 24.03/24.20  (step @p480 :rule cong :premises (@p479 @p478) :args ((=> @t391 @t400)))
% 24.03/24.20  (assume-push @p695 @t391)
% 24.03/24.20  (step @p482 :rule skolemize :premises (@p448))
% 24.03/24.20  (step-pop @p696 :rule scope :premises (@p482))
% 24.03/24.20  (step @p483 :rule process_scope :premises (@p696) :args (@t400))
% 24.03/24.20  (step @p485 :rule eq_resolve :premises (@p483 @p480))
% 24.03/24.20  (step @p486 :rule implies_elim :premises (@p485))
% 24.03/24.20  (step @p487 :rule eq_resolve :premises (@p486 @p451))
% 24.03/24.20  (step @p488 :rule chain_m_resolution :premises (@p487 @p448) :args (@t390 @t401 (@list @t256)))
% 24.03/24.20  (step @p489 :rule bool-double-not-elim :args (@t361))
% 24.03/24.20  (step @p490 :rule refl :args (@t389))
% 24.03/24.20  (step @p491 :rule nary_cong :premises (@p490 @p489) :args ((or @t389 (not @t362))))
% 24.03/24.20  (step @p492 :rule cnf_or_neg :args (@t389 7))
% 24.03/24.20  (step @p493 :rule eq_resolve :premises (@p492 @p491))
% 24.03/24.20  (step @p494 :rule reordering :premises (@p493) :args ((or @t361 @t389)))
% 24.03/24.20  (step @p495 :rule chain_m_resolution :premises (@p494 @p488) :args (@t361 @t401 @t402))
% 24.03/24.20  (step @p496 :rule refl :args (@t273))
% 24.03/24.20  (step @p497 :rule refl :args (@t274))
% 24.03/24.20  (step @p498 :rule refl :args (@t294))
% 24.03/24.20  (step @p499 :rule refl :args (@t276))
% 24.03/24.20  (step @p500 :rule eq-symm :args (@t270 @t257))
% 24.03/24.20  (step @p501 :rule cong :premises (@p500) :args (@t403))
% 24.03/24.20  (step @p502 :rule nary_cong :premises (@p501 @p499 @p498 @p497 @p496) :args (@t404))
% 24.03/24.20  (step @p503 :rule refl :args (@t280))
% 24.03/24.20  (step @p504 :rule refl :args (@t281))
% 24.03/24.20  (step @p505 :rule refl :args (@t291))
% 24.03/24.20  (step @p506 :rule refl :args (@t283))
% 24.03/24.20  (step @p507 :rule eq-symm :args (@t270 @t263))
% 24.03/24.20  (step @p508 :rule cong :premises (@p507) :args (@t405))
% 24.03/24.20  (step @p509 :rule nary_cong :premises (@p508 @p506 @p505 @p504 @p503) :args (@t406))
% 24.03/24.20  (step @p510 :rule refl :args (@t286))
% 24.03/24.20  (step @p511 :rule nary_cong :premises (@p510 @p509 @p502) :args (@t407))
% 24.03/24.20  (step @p512 :rule refl :args (@t361))
% 24.03/24.20  (step @p513 :rule cong :premises (@p512 @p511) :args ((=> @t361 @t407)))
% 24.03/24.20  (assume-push @p697 @t361)
% 24.03/24.20  (step @p515 :rule instantiate :premises (@p495) :args ((@list @t270 tptp.xR tptp.xR)))
% 24.03/24.20  (step-pop @p698 :rule scope :premises (@p515))
% 24.03/24.20  (step @p516 :rule process_scope :premises (@p698) :args (@t407))
% 24.03/24.20  (step @p518 :rule eq_resolve :premises (@p516 @p513))
% 24.03/24.20  (step @p519 :rule implies_elim :premises (@p518))
% 24.03/24.20  (step @p520 :rule chain_m_resolution :premises (@p519 @p495) :args (@t408 @t409 @t410))
% 24.03/24.20  (step @p521 :rule cnf_or_pos :args (@t408))
% 24.03/24.20  (step @p522 :rule reordering :premises (@p521) :args ((or @t286 @t292 @t295 (not @t408))))
% 24.03/24.20  (step @p523 :rule chain_m_resolution :premises (@p522 @p520 @p284 @p282 @p280 @p275 @p270) :args (@t287 (@list false true true false false false) (@list @t408 @t295 @t292 @t272 @t279 @t271)))
% 24.03/24.20  (step @p524 :rule refl :args (@t411))
% 24.03/24.20  (step @p525 :rule bool-double-not-elim :args (@t269))
% 24.03/24.20  (step @p526 :rule nary_cong :premises (@p525 @p524) :args ((or (not @t412) @t411)))
% 24.03/24.20  (step @p527 :rule refl :args (@t277))
% 24.03/24.20  (step @p528 :rule nary_cong :premises (@p501 @p527) :args (@t413))
% 24.03/24.20  (step @p529 :rule refl :args (@t284))
% 24.03/24.20  (step @p530 :rule nary_cong :premises (@p508 @p529) :args (@t414))
% 24.03/24.20  (step @p531 :rule nary_cong :premises (@p510 @p530 @p503 @p528 @p496) :args (@t415))
% 24.03/24.20  (step @p532 :rule cong :premises (@p531) :args (@t416))
% 24.03/24.20  (step @p533 :rule refl :args (@t412))
% 24.03/24.20  (step @p534 :rule cong :premises (@p533 @p532) :args ((=> @t412 @t416)))
% 24.03/24.20  (assume-push @p699 @t412)
% 24.03/24.20  (step @p536 :rule skolemize :premises (@p699))
% 24.03/24.20  (step-pop @p700 :rule scope :premises (@p536))
% 24.03/24.20  (step @p537 :rule process_scope :premises (@p700) :args (@t416))
% 24.03/24.20  (step @p539 :rule eq_resolve :premises (@p537 @p534))
% 24.03/24.20  (step @p540 :rule implies_elim :premises (@p539))
% 24.03/24.20  (step @p541 :rule eq_resolve :premises (@p540 @p526))
% 24.03/24.20  (step @p542 :rule chain_m_resolution :premises (@p541 @p523) :args (@t269 @t409 (@list @t287)))
% 24.03/24.20  (step @p543 :rule bool-double-not-elim :args (@t364))
% 24.03/24.20  (step @p544 :rule nary_cong :premises (@p490 @p543) :args ((or @t389 (not @t365))))
% 24.03/24.20  (step @p545 :rule cnf_or_neg :args (@t389 6))
% 24.03/24.20  (step @p546 :rule eq_resolve :premises (@p545 @p544))
% 24.03/24.20  (step @p547 :rule reordering :premises (@p546) :args ((or @t364 @t389)))
% 24.03/24.20  (step @p548 :rule chain_m_resolution :premises (@p547 @p488) :args (@t364 @t401 @t402))
% 24.03/24.20  (step @p549 :rule cnf_and_pos :args (@t419 4))
% 24.03/24.20  (step @p550 :rule reordering :premises (@p549) :args ((or @t365 @t420)))
% 24.03/24.20  (step @p551 :rule chain_m_resolution :premises (@p550 @p548) :args (@t420 @t409 (@list @t364)))
% 24.03/24.20  (step @p552 :rule cnf_or_neg :args (@t389 3))
% 24.03/24.20  (step @p553 :rule chain_m_resolution :premises (@p552 @p488) :args ((not @t382) @t401 @t402))
% 24.03/24.20  (step @p554 :rule cnf_and_pos :args (@t422 0))
% 24.03/24.20  (step @p555 :rule reordering :premises (@p554) :args ((or @t381 (not @t422))))
% 24.03/24.20  (step @p556 :rule bool-double-not-elim :args (@t387))
% 24.03/24.20  (step @p557 :rule nary_cong :premises (@p490 @p556) :args ((or @t389 (not @t388))))
% 24.03/24.20  (step @p558 :rule cnf_or_neg :args (@t389 0))
% 24.03/24.20  (step @p559 :rule eq_resolve :premises (@p558 @p557))
% 24.03/24.20  (step @p560 :rule reordering :premises (@p559) :args ((or @t387 @t389)))
% 24.03/24.20  (step @p561 :rule chain_m_resolution :premises (@p560 @p488) :args (@t387 @t401 @t402))
% 24.03/24.20  (step @p562 :rule instantiate :premises (@p495) :args ((@list @t363 tptp.xR tptp.xR)))
% 24.03/24.20  (step @p563 :rule cnf_or_pos :args (@t424))
% 24.03/24.20  (step @p564 :rule reordering :premises (@p563) :args ((or @t388 @t422 @t423 (not @t424))))
% 24.03/24.20  (step @p565 :rule cnf_and_pos :args (@t423 0))
% 24.03/24.20  (step @p566 :rule reordering :premises (@p565) :args ((or @t372 (not @t423))))
% 24.03/24.20  (step @p567 :rule cnf_or_neg :args (@t389 5))
% 24.03/24.20  (step @p568 :rule chain_m_resolution :premises (@p567 @p488) :args ((not @t373) @t401 @t402))
% 24.03/24.20  (step @p569 :rule refl :args (@t425))
% 24.03/24.20  (step @p570 :rule bool-double-not-elim :args (@t371))
% 24.03/24.20  (step @p571 :rule nary_cong :premises (@p471 @p570 @p569) :args ((or @t373 (not @t372) @t425)))
% 24.03/24.20  (step @p572 :rule cnf_and_neg :args (@t373))
% 24.03/24.20  (step @p573 :rule eq_resolve :premises (@p572 @p571))
% 24.03/24.20  (step @p574 :rule reordering :premises (@p573) :args ((or @t371 @t373 @t425)))
% 24.03/24.20  (step @p575 :rule bool-double-not-elim :args (@t366))
% 24.03/24.20  (step @p576 :rule refl :args (@t370))
% 24.03/24.20  (step @p577 :rule nary_cong :premises (@p576 @p575) :args ((or @t370 (not @t367))))
% 24.03/24.20  (step @p578 :rule cnf_or_neg :args (@t370 1))
% 24.03/24.20  (step @p579 :rule eq_resolve :premises (@p578 @p577))
% 24.03/24.20  (step @p580 :rule reordering :premises (@p579) :args ((or @t366 @t370)))
% 24.03/24.20  (step @p581 :rule aci_norm :args ((= (or @t384 @t431 false) @t432)))
% 24.03/24.20  (step @p582 :rule absorb :args ((= (and false @t436 @t435 @t434 @t433) false)))
% 24.03/24.20  (step @p583 :rule refl :args (@t433))
% 24.03/24.20  (step @p584 :rule refl :args (@t434))
% 24.03/24.20  (step @p585 :rule refl :args (@t435))
% 24.03/24.20  (step @p586 :rule refl :args (@t436))
% 24.03/24.20  (step @p587 :rule evaluate :args ((not true)))
% 24.03/24.20  (step @p588 :rule eq-refl :args (@t257))
% 24.03/24.20  (step @p589 :rule cong :premises (@p588) :args (@t437))
% 24.03/24.20  (step @p590 :rule trans :premises (@p589 @p587))
% 24.03/24.20  (step @p591 :rule nary_cong :premises (@p590 @p586 @p585 @p584 @p583) :args (@t438))
% 24.03/24.20  (step @p592 :rule trans :premises (@p591 @p582))
% 24.03/24.20  (step @p593 :rule refl :args (@t426))
% 24.03/24.20  (step @p594 :rule refl :args (@t428))
% 24.03/24.20  (step @p595 :rule refl :args (@t429))
% 24.03/24.20  (step @p596 :rule refl :args (@t430))
% 24.03/24.20  (step @p597 :rule eq-symm :args (@t257 @t263))
% 24.03/24.20  (step @p598 :rule cong :premises (@p597) :args (@t439))
% 24.03/24.20  (step @p599 :rule nary_cong :premises (@p598 @p596 @p595 @p594 @p593) :args (@t440))
% 24.03/24.20  (step @p600 :rule nary_cong :premises (@p474 @p599 @p592) :args (@t441))
% 24.03/24.20  (step @p601 :rule trans :premises (@p600 @p581))
% 24.03/24.20  (step @p602 :rule cong :premises (@p512 @p601) :args ((=> @t361 @t441)))
% 24.03/24.20  (assume-push @p701 @t361)
% 24.03/24.20  (step @p604 :rule instantiate :premises (@p495) :args ((@list @t257 tptp.xR tptp.xR)))
% 24.03/24.20  (step-pop @p702 :rule scope :premises (@p604))
% 24.03/24.20  (step @p605 :rule process_scope :premises (@p702) :args (@t441))
% 24.03/24.20  (step @p607 :rule eq_resolve :premises (@p605 @p602))
% 24.03/24.20  (step @p608 :rule implies_elim :premises (@p607))
% 24.03/24.20  (step @p609 :rule chain_m_resolution :premises (@p608 @p495) :args (@t432 @t409 @t410))
% 24.03/24.20  (step @p610 :rule bool-double-not-elim :args (@t383))
% 24.03/24.20  (step @p611 :rule nary_cong :premises (@p490 @p610) :args ((or @t389 (not @t384))))
% 24.03/24.20  (step @p612 :rule cnf_or_neg :args (@t389 2))
% 24.03/24.20  (step @p613 :rule eq_resolve :premises (@p612 @p611))
% 24.03/24.20  (step @p614 :rule reordering :premises (@p613) :args ((or @t383 @t389)))
% 24.03/24.20  (step @p615 :rule chain_m_resolution :premises (@p614 @p488) :args (@t383 @t401 @t402))
% 24.03/24.20  (step @p616 :rule cnf_or_pos :args (@t432))
% 24.03/24.20  (step @p617 :rule reordering :premises (@p616) :args ((or @t384 @t431 (not @t432))))
% 24.03/24.20  (step @p618 :rule chain_m_resolution :premises (@p617 @p615 @p609) :args (@t431 (@list false false) (@list @t383 @t432)))
% 24.03/24.20  (step @p619 :rule cnf_and_pos :args (@t431 3))
% 24.03/24.20  (step @p620 :rule reordering :premises (@p619) :args ((or @t428 (not @t431))))
% 24.03/24.20  (step @p621 :rule chain_m_resolution :premises (@p620 @p618) :args (@t428 @t409 (@list @t431)))
% 24.03/24.20  (step @p622 :rule refl :args (@t367))
% 24.03/24.20  (step @p623 :rule bool-double-not-elim :args (@t427))
% 24.03/24.20  (step @p624 :rule refl :args (@t381))
% 24.03/24.20  (step @p625 :rule nary_cong :premises (@p624 @p623 @p622) :args ((or @t381 (not @t428) @t367)))
% 24.03/24.20  (assume-push @p703 @t380)
% 24.03/24.20  (assume-push @p704 @t428)
% 24.03/24.20  (assume-push @p705 @t428)
% 24.03/24.20  (assume-push @p706 @t380)
% 24.03/24.20  (step @p630 :rule false_intro :premises (@p621))
% 24.03/24.20  (step @p631 :rule refl :args (@t257))
% 24.03/24.20  (step @p632 :rule refl :args (tptp.xR))
% 24.03/24.20  (step @p633 :rule cong :premises (@p703 @p632 @p631) :args (@t366))
% 24.03/24.20  (step @p634 :rule trans :premises (@p633 @p630))
% 24.03/24.20  (step @p635 :rule false_elim :premises (@p634))
% 24.03/24.20  (step-pop @p707 :rule scope :premises (@p635))
% 24.03/24.20  (step-pop @p708 :rule scope :premises (@p707))
% 24.03/24.20  (step @p636 :rule process_scope :premises (@p708) :args (@t367))
% 24.03/24.20  (step @p639 :rule and_intro :premises (@p621 @p703))
% 24.03/24.20  (step @p640 :rule modus_ponens :premises (@p639 @p636))
% 24.03/24.20  (step-pop @p709 :rule scope :premises (@p640))
% 24.03/24.20  (step-pop @p710 :rule scope :premises (@p709))
% 24.03/24.20  (step @p641 :rule process_scope :premises (@p710) :args (@t367))
% 24.03/24.20  (step @p644 :rule implies_elim :premises (@p641))
% 24.03/24.20  (step @p645 :rule cnf_and_neg :args (@t442))
% 24.03/24.20  (step @p646 :rule resolution :premises (@p645 @p644) :args (true @t442))
% 24.03/24.20  (step @p647 :rule eq_resolve :premises (@p646 @p625))
% 24.03/24.20  (step @p648 :rule reordering :premises (@p647) :args ((or @t381 @t367 @t427)))
% 24.03/24.20  (step @p649 :rule chain_m_resolution :premises (@p648 @p621 @p580 @p574 @p568 @p566 @p564 @p562 @p561 @p555) :args (@t381 (@list true false true true true false false false true) (@list @t427 @t366 @t370 @t373 @t371 @t423 @t424 @t387 @t422)))
% 24.03/24.20  (step @p650 :rule refl :args (@t443))
% 24.03/24.20  (step @p651 :rule bool-double-not-elim :args (@t380))
% 24.03/24.20  (step @p652 :rule nary_cong :premises (@p473 @p651 @p650) :args ((or @t382 (not @t381) @t443)))
% 24.03/24.20  (step @p653 :rule cnf_and_neg :args (@t382))
% 24.03/24.20  (step @p654 :rule eq_resolve :premises (@p653 @p652))
% 24.03/24.20  (step @p655 :rule reordering :premises (@p654) :args ((or @t380 @t382 @t443)))
% 24.03/24.20  (step @p656 :rule chain_m_resolution :premises (@p655 @p649 @p553) :args (@t443 (@list true true) (@list @t380 @t382)))
% 24.03/24.20  (step @p657 :rule bool-double-not-elim :args (@t375))
% 24.03/24.20  (step @p658 :rule refl :args (@t379))
% 24.03/24.20  (step @p659 :rule nary_cong :premises (@p658 @p657) :args ((or @t379 (not @t376))))
% 24.03/24.20  (step @p660 :rule cnf_or_neg :args (@t379 1))
% 24.03/24.20  (step @p661 :rule eq_resolve :premises (@p660 @p659))
% 24.03/24.20  (step @p662 :rule reordering :premises (@p661) :args ((or @t375 @t379)))
% 24.03/24.20  (step @p663 :rule chain_m_resolution :premises (@p662 @p656) :args (@t375 @t401 (@list @t379)))
% 24.03/24.20  (step @p664 :rule cnf_and_pos :args (@t444 3))
% 24.03/24.20  (step @p665 :rule reordering :premises (@p664) :args ((or @t376 @t445)))
% 24.03/24.20  (step @p666 :rule chain_m_resolution :premises (@p665 @p663) :args (@t445 @t409 (@list @t375)))
% 24.03/24.20  (step @p667 :rule bool-double-not-elim :args (@t385))
% 24.03/24.20  (step @p668 :rule nary_cong :premises (@p490 @p667) :args ((or @t389 (not @t386))))
% 24.03/24.20  (step @p669 :rule cnf_or_neg :args (@t389 1))
% 24.03/24.20  (step @p670 :rule eq_resolve :premises (@p669 @p668))
% 24.03/24.20  (step @p671 :rule reordering :premises (@p670) :args ((or @t385 @t389)))
% 24.03/24.20  (step @p672 :rule chain_m_resolution :premises (@p671 @p488) :args (@t385 @t401 @t402))
% 24.03/24.20  (step @p673 :rule cnf_or_pos :args (@t446))
% 24.03/24.20  (step @p674 :rule reordering :premises (@p673) :args ((or @t388 @t386 @t384 @t444 @t419 @t412 @t447)))
% 24.03/24.20  (step @p675 :rule chain_m_resolution :premises (@p674 @p561 @p672 @p615 @p666 @p551 @p542) :args (@t447 (@list false false false true true false) (@list @t387 @t385 @t383 @t444 @t419 @t269)))
% 24.03/24.20  (step @p676 :rule refl :args (@t261))
% 24.03/24.20  (step @p677 :rule nary_cong :premises (@p457 @p676) :args (@t448))
% 24.03/24.20  (step @p678 :rule refl :args (@t267))
% 24.03/24.20  (step @p679 :rule nary_cong :premises (@p464 @p678) :args (@t449))
% 24.03/24.20  (step @p680 :rule nary_cong :premises (@p466 @p679 @p459 @p677 @p452) :args (@t450))
% 24.03/24.20  (step @p681 :rule cong :premises (@p680) :args (@t451))
% 24.03/24.20  (step @p682 :rule cong :premises (@p681) :args (@t452))
% 24.03/24.20  (step @p683 :rule refl :args (@t419))
% 24.03/24.20  (step @p684 :rule refl :args (@t444))
% 24.03/24.20  (step @p685 :rule nary_cong :premises (@p476 @p475 @p474 @p684 @p683 @p682) :args (@t453))
% 24.03/24.20  (step @p686 :rule refl :args (@t134))
% 24.03/24.20  (step @p687 :rule cong :premises (@p686 @p685) :args ((=> @t134 @t453)))
% 24.03/24.20  (assume-push @p711 @t134)
% 24.03/24.20  (step @p689 :rule instantiate :premises (@p264) :args ((@list @t363 @t263 @t257 tptp.xR tptp.xR)))
% 24.03/24.20  (step-pop @p712 :rule scope :premises (@p689))
% 24.03/24.20  (step @p690 :rule process_scope :premises (@p712) :args (@t453))
% 24.03/24.20  (step @p692 :rule eq_resolve :premises (@p690 @p687))
% 24.03/24.20  (step @p693 :rule implies_elim :premises (@p692))
% 24.03/24.20  (step @p694 false :rule chain_m_resolution :premises (@p693 @p675 @p264) :args (false (@list true false) (@list @t446 @t134)))
% 24.03/24.20  )
% 24.03/24.20  % SZS output end Proof
% 24.03/24.20  % cvc5 exiting
%------------------------------------------------------------------------------