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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : REL002+1 : TPTP v9.2.1. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:44:51 AM UTC 2026

% Result   : Theorem 18.82s 19.05s
% Output   : Proof 18.82s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : REL002+1 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.07  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.26  % Computer : n012.cluster.edu
% 0.09/0.26  % Model    : x86_64 x86_64
% 0.09/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.26  % Memory   : 8042.1875MB
% 0.09/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.26  % CPULimit : 300
% 0.09/0.26  % WCLimit  : 300
% 0.09/0.26  % DateTime : Tue Jun  2 13:24:03 EDT 2026
% 0.09/0.26  % CPUTime  : 
% 0.15/0.34  %----Proving TF0_NAR, FOF, or CNF
% 18.82/19.05  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 18.82/19.05  --- Run --no-e-matching --full-saturate-quant at 6...
% 18.82/19.05  % SZS status Theorem
% 18.82/19.05  % SZS output start Proof
% 18.82/19.05  (
% 18.82/19.05  (declare-sort $$unsorted 0)
% 18.82/19.05  (declare-const tptp.top $$unsorted)
% 18.82/19.05  (declare-const tptp.converse (-> $$unsorted $$unsorted))
% 18.82/19.05  (declare-const tptp.one $$unsorted)
% 18.82/19.05  (declare-const tptp.composition (-> $$unsorted $$unsorted $$unsorted))
% 18.82/19.05  (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted))
% 18.82/19.05  (declare-const tptp.complement (-> $$unsorted $$unsorted))
% 18.82/19.05  (declare-const tptp.zero $$unsorted)
% 18.82/19.05  (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted))
% 18.82/19.05  (define @t1 () (@var "X0" $$unsorted))
% 18.82/19.05  (define @t2 () (@var "X1" $$unsorted))
% 18.82/19.05  (define @t3 () (tptp.join @t1 @t2))
% 18.82/19.05  (define @t4 () (@list @t1 @t2))
% 18.82/19.05  (define @t5 () (forall @t4 (= @t3 (tptp.join @t2 @t1))))
% 18.82/19.05  (define @t6 () (@var "X2" $$unsorted))
% 18.82/19.05  (define @t7 () (@list @t1 @t2 @t6))
% 18.82/19.05  (define @t8 () (forall @t7 (= (tptp.join @t1 (tptp.join @t2 @t6)) (tptp.join @t3 @t6))))
% 18.82/19.05  (define @t9 () (tptp.complement @t1))
% 18.82/19.05  (define @t10 () (tptp.complement @t2))
% 18.82/19.05  (define @t11 () (tptp.complement (tptp.join @t9 @t10)))
% 18.82/19.05  (define @t12 () (tptp.meet @t1 @t2))
% 18.82/19.05  (define @t13 () (forall @t4 (= @t12 @t11)))
% 18.82/19.05  (define @t14 () (tptp.composition @t1 @t2))
% 18.82/19.05  (define @t15 () (tptp.composition @t2 @t6))
% 18.82/19.05  (define @t16 () (tptp.composition @t1 tptp.one))
% 18.82/19.05  (define @t17 () (@list @t1))
% 18.82/19.05  (define @t18 () (forall @t17 (= @t16 @t1)))
% 18.82/19.05  (define @t19 () (tptp.converse @t1))
% 18.82/19.05  (define @t20 () (tptp.converse @t19))
% 18.82/19.05  (define @t21 () (forall @t17 (= @t20 @t1)))
% 18.82/19.05  (define @t22 () (tptp.converse @t2))
% 18.82/19.05  (define @t23 () (tptp.join (tptp.composition @t19 (tptp.complement @t14)) @t10))
% 18.82/19.05  (define @t24 () (forall @t4 (= @t23 @t10)))
% 18.82/19.05  (define @t25 () (tptp.join @t1 tptp.top))
% 18.82/19.05  (define @t26 () (forall @t17 (= @t25 tptp.top)))
% 18.82/19.05  (define @t27 () (not @t26))
% 18.82/19.05  (define @t28 () (@list tptp.one tptp.top))
% 18.82/19.05  (define @t29 () (@list tptp.one tptp.one))
% 18.82/19.05  (define @t30 () (@list tptp.one))
% 18.82/19.05  (define @t31 () (tptp.complement tptp.one))
% 18.82/19.05  (define @t32 () (tptp.join tptp.one @t31))
% 18.82/19.05  (define @t33 () (tptp.join @t31 tptp.one))
% 18.82/19.05  (define @t34 () (= @t32 @t33))
% 18.82/19.05  (define @t35 () (@list tptp.one @t31))
% 18.82/19.05  (define @t36 () (= @t33 @t32))
% 18.82/19.05  (define @t37 () (@list false))
% 18.82/19.05  (define @t38 () (@list @t5))
% 18.82/19.05  (define @t39 () (@quantifiers_skolemize (forall @t17 (= tptp.top @t25)) 0))
% 18.82/19.05  (define @t40 () (tptp.join tptp.top @t39))
% 18.82/19.05  (define @t41 () (tptp.join @t39 tptp.top))
% 18.82/19.05  (define @t42 () (= @t40 @t41))
% 18.82/19.05  (define @t43 () (@list tptp.top @t39))
% 18.82/19.05  (define @t44 () (= @t41 @t40))
% 18.82/19.05  (define @t45 () (@list @t39))
% 18.82/19.05  (define @t46 () (tptp.complement tptp.top))
% 18.82/19.05  (define @t47 () (tptp.join tptp.one tptp.top))
% 18.82/19.05  (define @t48 () (tptp.join tptp.top tptp.top))
% 18.82/19.05  (define @t49 () (tptp.join tptp.one @t48))
% 18.82/19.05  (define @t50 () (tptp.join @t47 tptp.top))
% 18.82/19.05  (define @t51 () (= @t49 @t50))
% 18.82/19.05  (define @t52 () (= @t50 @t49))
% 18.82/19.05  (define @t53 () (@list @t8))
% 18.82/19.05  (define @t54 () (tptp.join @t31 @t31))
% 18.82/19.05  (define @t55 () (@list tptp.one @t54))
% 18.82/19.05  (define @t56 () (tptp.converse tptp.one))
% 18.82/19.05  (define @t57 () (tptp.complement @t54))
% 18.82/19.05  (define @t58 () (tptp.join @t31 @t33))
% 18.82/19.05  (define @t59 () (tptp.join @t54 tptp.one))
% 18.82/19.05  (define @t60 () (= @t58 @t59))
% 18.82/19.05  (define @t61 () (@list @t31 @t31 tptp.one))
% 18.82/19.05  (define @t62 () (= @t59 @t58))
% 18.82/19.05  (define @t63 () (tptp.complement @t33))
% 18.82/19.05  (define @t64 () (tptp.converse @t39))
% 18.82/19.05  (define @t65 () (tptp.complement @t39))
% 18.82/19.05  (define @t66 () (tptp.join @t39 @t39))
% 18.82/19.05  (define @t67 () (tptp.join tptp.top @t66))
% 18.82/19.05  (define @t68 () (tptp.join @t40 @t39))
% 18.82/19.05  (define @t69 () (= @t67 @t68))
% 18.82/19.05  (define @t70 () (= @t68 @t67))
% 18.82/19.05  (define @t71 () (tptp.join @t31 @t46))
% 18.82/19.05  (define @t72 () (tptp.complement @t40))
% 18.82/19.05  (define @t73 () (@list tptp.one @t47))
% 18.82/19.05  (define @t74 () (tptp.join @t31 @t47))
% 18.82/19.05  (define @t75 () (tptp.complement @t74))
% 18.82/19.05  (define @t76 () (tptp.complement @t47))
% 18.82/19.05  (define @t77 () (tptp.join @t31 @t76))
% 18.82/19.05  (define @t78 () (tptp.complement @t77))
% 18.82/19.05  (define @t79 () (tptp.converse @t54))
% 18.82/19.05  (define @t80 () (tptp.composition tptp.one @t54))
% 18.82/19.05  (define @t81 () (tptp.join tptp.one tptp.one))
% 18.82/19.05  (define @t82 () (tptp.join tptp.one @t81))
% 18.82/19.05  (define @t83 () (tptp.join @t81 tptp.top))
% 18.82/19.05  (define @t84 () (tptp.join tptp.one @t83))
% 18.82/19.05  (define @t85 () (tptp.join @t82 tptp.top))
% 18.82/19.05  (define @t86 () (= @t84 @t85))
% 18.82/19.05  (define @t87 () (@list tptp.one @t81 tptp.top))
% 18.82/19.05  (define @t88 () (= @t85 @t84))
% 18.82/19.05  (define @t89 () (tptp.converse @t57))
% 18.82/19.05  (define @t90 () (tptp.complement @t80))
% 18.82/19.05  (define @t91 () (tptp.composition @t56 @t90))
% 18.82/19.05  (define @t92 () (tptp.complement @t82))
% 18.82/19.05  (define @t93 () (tptp.join tptp.top tptp.one))
% 18.82/19.05  (define @t94 () (= @t47 @t93))
% 18.82/19.05  (define @t95 () (tptp.join @t81 tptp.one))
% 18.82/19.05  (define @t96 () (= @t82 @t95))
% 18.82/19.05  (define @t97 () (tptp.join @t57 @t63))
% 18.82/19.05  (define @t98 () (= tptp.one @t97))
% 18.82/19.05  (define @t99 () (tptp.converse @t56))
% 18.82/19.05  (define @t100 () (= tptp.one @t99))
% 18.82/19.05  (define @t101 () (tptp.join @t56 @t56))
% 18.82/19.05  (define @t102 () (tptp.converse @t81))
% 18.82/19.05  (define @t103 () (= @t102 @t101))
% 18.82/19.05  (define @t104 () (= tptp.top @t32))
% 18.82/19.05  (define @t105 () (tptp.join tptp.one @t47))
% 18.82/19.05  (define @t106 () (= @t105 @t83))
% 18.82/19.05  (define @t107 () (tptp.meet tptp.one tptp.top))
% 18.82/19.05  (define @t108 () (= (tptp.complement @t71) @t107))
% 18.82/19.05  (define @t109 () (tptp.join tptp.top @t46))
% 18.82/19.05  (define @t110 () (= tptp.top @t109))
% 18.82/19.05  (define @t111 () (tptp.join @t46 tptp.one))
% 18.82/19.05  (define @t112 () (tptp.complement @t111))
% 18.82/19.05  (define @t113 () (tptp.join @t46 @t31))
% 18.82/19.05  (define @t114 () (tptp.complement @t113))
% 18.82/19.05  (define @t115 () (tptp.join @t114 @t112))
% 18.82/19.05  (define @t116 () (= tptp.top @t115))
% 18.82/19.05  (define @t117 () (tptp.converse @t64))
% 18.82/19.05  (define @t118 () (= @t39 @t117))
% 18.82/19.05  (define @t119 () (tptp.join @t39 @t65))
% 18.82/19.05  (define @t120 () (= tptp.top @t119))
% 18.82/19.05  (define @t121 () (= @t71 @t113))
% 18.82/19.05  (define @t122 () (tptp.join tptp.top @t47))
% 18.82/19.05  (define @t123 () (= @t122 @t50))
% 18.82/19.05  (define @t124 () (= tptp.top (tptp.join @t47 @t76)))
% 18.82/19.05  (define @t125 () (tptp.join @t46 tptp.top))
% 18.82/19.05  (define @t126 () (= @t109 @t125))
% 18.82/19.05  (define @t127 () (tptp.join @t54 @t57))
% 18.82/19.05  (define @t128 () (= tptp.top @t127))
% 18.82/19.05  (define @t129 () (tptp.join tptp.one @t54))
% 18.82/19.05  (define @t130 () (= @t129 @t59))
% 18.82/19.05  (define @t131 () (tptp.composition @t56 tptp.one))
% 18.82/19.05  (define @t132 () (= @t56 @t131))
% 18.82/19.05  (define @t133 () (tptp.converse @t89))
% 18.82/19.05  (define @t134 () (= @t57 @t133))
% 18.82/19.05  (define @t135 () (tptp.join @t127 @t63))
% 18.82/19.05  (define @t136 () (= (tptp.join @t54 @t97) @t135))
% 18.82/19.05  (define @t137 () (tptp.converse @t131))
% 18.82/19.05  (define @t138 () (= @t137 (tptp.composition @t56 @t99)))
% 18.82/19.05  (define @t139 () (tptp.join @t31 tptp.top))
% 18.82/19.05  (define @t140 () (tptp.join tptp.one @t139))
% 18.82/19.05  (define @t141 () (= @t140 (tptp.join @t32 tptp.top)))
% 18.82/19.05  (define @t142 () (= @t64 (tptp.composition @t64 tptp.one)))
% 18.82/19.05  (define @t143 () (tptp.composition @t64 @t56))
% 18.82/19.05  (define @t144 () (tptp.converse @t143))
% 18.82/19.05  (define @t145 () (= @t144 (tptp.composition @t99 @t117)))
% 18.82/19.05  (define @t146 () (tptp.join @t40 @t72))
% 18.82/19.05  (define @t147 () (= tptp.top @t146))
% 18.82/19.05  (define @t148 () (tptp.composition tptp.one @t39))
% 18.82/19.05  (define @t149 () (tptp.composition @t81 @t39))
% 18.82/19.05  (define @t150 () (= @t149 (tptp.join @t148 @t148)))
% 18.82/19.05  (define @t151 () (tptp.join @t31 (tptp.complement @t31)))
% 18.82/19.05  (define @t152 () (= tptp.top @t151))
% 18.82/19.05  (define @t153 () (tptp.join @t65 @t39))
% 18.82/19.05  (define @t154 () (= @t119 @t153))
% 18.82/19.05  (define @t155 () (tptp.join @t46 @t40))
% 18.82/19.05  (define @t156 () (tptp.complement @t155))
% 18.82/19.05  (define @t157 () (tptp.join @t46 @t72))
% 18.82/19.05  (define @t158 () (tptp.complement @t157))
% 18.82/19.05  (define @t159 () (tptp.join @t158 @t156))
% 18.82/19.05  (define @t160 () (= tptp.top @t159))
% 18.82/19.05  (define @t161 () (tptp.join @t125 @t39))
% 18.82/19.05  (define @t162 () (= @t155 @t161))
% 18.82/19.05  (define @t163 () (= @t71 (tptp.converse (tptp.converse @t71))))
% 18.82/19.05  (define @t164 () (tptp.join @t72 @t46))
% 18.82/19.05  (define @t165 () (= @t40 (tptp.join (tptp.complement @t164) (tptp.complement (tptp.join @t72 tptp.top)))))
% 18.82/19.05  (define @t166 () (= @t157 @t164))
% 18.82/19.05  (define @t167 () (tptp.join @t57 tptp.one))
% 18.82/19.05  (define @t168 () (= (tptp.join tptp.one @t57) @t167))
% 18.82/19.05  (define @t169 () (tptp.join @t57 tptp.top))
% 18.82/19.05  (define @t170 () (tptp.join tptp.top @t57))
% 18.82/19.05  (define @t171 () (= @t170 @t169))
% 18.82/19.05  (define @t172 () (tptp.join @t72 @t40))
% 18.82/19.05  (define @t173 () (= @t146 @t172))
% 18.82/19.05  (define @t174 () (tptp.join tptp.one @t127))
% 18.82/19.05  (define @t175 () (= @t174 (tptp.join @t129 @t57)))
% 18.82/19.05  (define @t176 () (= @t78 (tptp.meet tptp.one @t47)))
% 18.82/19.05  (define @t177 () (tptp.join @t78 @t75))
% 18.82/19.05  (define @t178 () (= tptp.one @t177))
% 18.82/19.05  (define @t179 () (tptp.join @t33 tptp.top))
% 18.82/19.05  (define @t180 () (= @t74 @t179))
% 18.82/19.05  (define @t181 () (= @t54 (tptp.join (tptp.complement @t97) (tptp.complement (tptp.join @t57 @t33)))))
% 18.82/19.05  (define @t182 () (tptp.join tptp.top @t78))
% 18.82/19.05  (define @t183 () (tptp.join @t182 @t75))
% 18.82/19.05  (define @t184 () (= (tptp.join tptp.top @t177) @t183))
% 18.82/19.05  (define @t185 () (tptp.composition @t79 @t56))
% 18.82/19.05  (define @t186 () (tptp.converse @t80))
% 18.82/19.05  (define @t187 () (= @t186 @t185))
% 18.82/19.05  (define @t188 () (tptp.join @t91 @t57))
% 18.82/19.05  (define @t189 () (= @t57 @t188))
% 18.82/19.05  (define @t190 () (= @t79 (tptp.composition @t79 tptp.one)))
% 18.82/19.05  (define @t191 () (tptp.converse @t186))
% 18.82/19.05  (define @t192 () (= @t80 @t191))
% 18.82/19.05  (define @t193 () (= tptp.one (tptp.join (tptp.complement @t151) @t57)))
% 18.82/19.05  (define @t194 () (tptp.join @t56 @t102))
% 18.82/19.05  (define @t195 () (= (tptp.converse @t82) @t194))
% 18.82/19.05  (define @t196 () (tptp.join @t82 @t92))
% 18.82/19.05  (define @t197 () (= tptp.top @t196))
% 18.82/19.05  (define @t198 () (tptp.composition @t82 @t39))
% 18.82/19.05  (define @t199 () (= @t198 (tptp.join @t148 @t149)))
% 18.82/19.05  (define @t200 () (tptp.composition @t89 tptp.one))
% 18.82/19.05  (define @t201 () (= @t89 @t200))
% 18.82/19.05  (define @t202 () (tptp.converse @t200))
% 18.82/19.05  (define @t203 () (= @t202 (tptp.composition @t56 @t133)))
% 18.82/19.05  (define @t204 () (tptp.join @t46 @t91))
% 18.82/19.05  (define @t205 () (tptp.join @t204 @t57))
% 18.82/19.05  (define @t206 () (= (tptp.join @t46 @t188) @t205))
% 18.82/19.05  (define @t207 () (tptp.join @t46 @t57))
% 18.82/19.05  (define @t208 () (tptp.join @t207 tptp.one))
% 18.82/19.05  (define @t209 () (= (tptp.join @t46 @t167) @t208))
% 18.82/19.05  (define @t210 () (tptp.join @t92 tptp.top))
% 18.82/19.05  (define @t211 () (tptp.complement @t210))
% 18.82/19.05  (define @t212 () (tptp.join @t92 @t46))
% 18.82/19.05  (define @t213 () (tptp.complement @t212))
% 18.82/19.05  (define @t214 () (tptp.join @t213 @t211))
% 18.82/19.05  (define @t215 () (= @t82 @t214))
% 18.82/19.05  (define @t216 () (tptp.join @t46 @t92))
% 18.82/19.05  (define @t217 () (= @t216 @t212))
% 18.82/19.05  (define @t218 () (tptp.join @t92 @t82))
% 18.82/19.05  (define @t219 () (= @t196 @t218))
% 18.82/19.05  (define @t220 () (tptp.join @t218 tptp.top))
% 18.82/19.05  (define @t221 () (= (tptp.join @t92 @t85) @t220))
% 18.82/19.05  (define @t222 () (tptp.join @t57 @t82))
% 18.82/19.05  (define @t223 () (tptp.join @t57 @t92))
% 18.82/19.05  (define @t224 () (= @t54 (tptp.join (tptp.complement @t223) (tptp.complement @t222))))
% 18.82/19.05  (define @t225 () (= @t222 (tptp.join @t167 @t81)))
% 18.82/19.05  (define @t226 () (tptp.join @t92 @t57))
% 18.82/19.05  (define @t227 () (= @t226 @t223))
% 18.82/19.05  (define @t228 () (tptp.join @t46 @t81))
% 18.82/19.05  (define @t229 () (tptp.complement @t228))
% 18.82/19.05  (define @t230 () (tptp.complement @t81))
% 18.82/19.05  (define @t231 () (tptp.join @t46 @t230))
% 18.82/19.05  (define @t232 () (tptp.complement @t231))
% 18.82/19.05  (define @t233 () (tptp.join @t232 @t229))
% 18.82/19.05  (define @t234 () (= tptp.top @t233))
% 18.82/19.05  (define @t235 () (tptp.join @t111 tptp.one))
% 18.82/19.05  (define @t236 () (= @t228 @t235))
% 18.82/19.05  (define @t237 () (tptp.join @t57 @t81))
% 18.82/19.05  (define @t238 () (= @t54 (tptp.join (tptp.complement (tptp.join @t57 @t230)) (tptp.complement @t237))))
% 18.82/19.05  (define @t239 () (= @t237 (tptp.join @t167 tptp.one)))
% 18.82/19.05  (define @t240 () (tptp.join @t39 @t66))
% 18.82/19.05  (define @t241 () (tptp.join @t65 @t240))
% 18.82/19.05  (define @t242 () (= @t241 (tptp.join @t153 @t66)))
% 18.82/19.05  (define @t243 () (tptp.join @t72 @t68))
% 18.82/19.05  (define @t244 () (= @t243 (tptp.join @t172 @t39)))
% 18.82/19.05  (define @t245 () (= tptp.top @t41))
% 18.82/19.05  (define @t246 () (and @t94 @t96 @t98 @t100 @t103 @t104 @t36 @t106 @t108 @t110 @t44 @t116 @t118 @t120 @t121 @t123 @t52 @t124 @t126 @t128 @t130 @t132 @t134 @t62 @t136 @t138 @t141 @t142 @t145 @t147 @t150 @t152 @t154 @t160 @t162 @t70 @t163 @t165 @t166 @t168 @t171 @t173 @t175 @t176 @t178 @t180 @t181 @t184 @t187 @t189 @t190 @t192 @t193 @t195 @t197 @t88 @t199 @t201 @t203 @t206 @t209 @t215 @t217 @t219 @t221 @t224 @t225 @t227 @t234 @t236 @t238 @t239 @t242 @t244))
% 18.82/19.05  (assume @p1 @t5)
% 18.82/19.05  (assume @p2 @t8)
% 18.82/19.05  (assume @p3 (forall @t4 (= @t1 (tptp.join @t11 (tptp.complement (tptp.join @t9 @t2))))))
% 18.82/19.05  (assume @p4 @t13)
% 18.82/19.05  (assume @p5 (forall @t7 (= (tptp.composition @t1 @t15) (tptp.composition @t14 @t6))))
% 18.82/19.05  (assume @p6 @t18)
% 18.82/19.05  (assume @p7 (forall @t7 (= (tptp.composition @t3 @t6) (tptp.join (tptp.composition @t1 @t6) @t15))))
% 18.82/19.05  (assume @p8 @t21)
% 18.82/19.05  (assume @p9 (forall @t4 (= (tptp.converse @t3) (tptp.join @t19 @t22))))
% 18.82/19.05  (assume @p10 (forall @t4 (= (tptp.converse @t14) (tptp.composition @t22 @t19))))
% 18.82/19.05  (assume @p11 @t24)
% 18.82/19.05  (assume @p12 (forall @t17 (= tptp.top (tptp.join @t1 @t9))))
% 18.82/19.05  (assume @p13 (forall @t17 (= tptp.zero (tptp.meet @t1 @t9))))
% 18.82/19.05  (assume @p14 @t27)
% 18.82/19.05  (assume @p15 true)
% 18.82/19.05  (step @p16 :rule eq-symm :args (@t25 tptp.top))
% 18.82/19.05  (step @p17 :rule cong :premises (@p16) :args (@t26))
% 18.82/19.05  (step @p18 :rule cong :premises (@p17) :args (@t27))
% 18.82/19.05  (step @p19 :rule eq_resolve :premises (@p14 @p18))
% 18.82/19.05  (step @p20 :rule skolemize :premises (@p19))
% 18.82/19.05  (step @p21 :rule instantiate :premises (@p1) :args (@t28))
% 18.82/19.05  (step @p22 :rule instantiate :premises (@p2) :args ((@list tptp.one tptp.one tptp.one)))
% 18.82/19.05  (step @p23 :rule instantiate :premises (@p3) :args (@t29))
% 18.82/19.05  (step @p24 :rule eq-symm :args (@t20 @t1))
% 18.82/19.05  (step @p25 :rule cong :premises (@p24) :args (@t21))
% 18.82/19.05  (step @p26 :rule eq_resolve :premises (@p8 @p25))
% 18.82/19.05  (step @p27 :rule instantiate :premises (@p26) :args (@t30))
% 18.82/19.05  (step @p28 :rule instantiate :premises (@p9) :args (@t29))
% 18.82/19.05  (step @p29 :rule instantiate :premises (@p12) :args (@t30))
% 18.82/19.05  (step @p30 :rule eq-symm :args (@t32 @t33))
% 18.82/19.05  (step @p31 :rule refl :args (@t5))
% 18.82/19.05  (step @p32 :rule cong :premises (@p31 @p30) :args ((=> @t5 @t34)))
% 18.82/19.05  (assume-push @p530 @t5)
% 18.82/19.05  (step @p34 :rule instantiate :premises (@p1) :args (@t35))
% 18.82/19.05  (step-pop @p531 :rule scope :premises (@p34))
% 18.82/19.05  (step @p35 :rule process_scope :premises (@p531) :args (@t34))
% 18.82/19.05  (step @p37 :rule eq_resolve :premises (@p35 @p32))
% 18.82/19.05  (step @p38 :rule implies_elim :premises (@p37))
% 18.82/19.05  (step @p39 :rule chain_m_resolution :premises (@p38 @p1) :args (@t36 @t37 @t38))
% 18.82/19.05  (step @p40 :rule instantiate :premises (@p2) :args ((@list tptp.one tptp.one tptp.top)))
% 18.82/19.05  (step @p41 :rule eq-symm :args (@t12 @t11))
% 18.82/19.05  (step @p42 :rule cong :premises (@p41) :args (@t13))
% 18.82/19.05  (step @p43 :rule eq_resolve :premises (@p4 @p42))
% 18.82/19.05  (step @p44 :rule instantiate :premises (@p43) :args (@t28))
% 18.82/19.05  (step @p45 :rule instantiate :premises (@p12) :args ((@list tptp.top)))
% 18.82/19.05  (step @p46 :rule eq-symm :args (@t40 @t41))
% 18.82/19.05  (step @p47 :rule cong :premises (@p31 @p46) :args ((=> @t5 @t42)))
% 18.82/19.05  (assume-push @p532 @t5)
% 18.82/19.05  (step @p49 :rule instantiate :premises (@p1) :args (@t43))
% 18.82/19.05  (step-pop @p533 :rule scope :premises (@p49))
% 18.82/19.05  (step @p50 :rule process_scope :premises (@p533) :args (@t42))
% 18.82/19.05  (step @p52 :rule eq_resolve :premises (@p50 @p47))
% 18.82/19.05  (step @p53 :rule implies_elim :premises (@p52))
% 18.82/19.05  (step @p54 :rule chain_m_resolution :premises (@p53 @p1) :args (@t44 @t37 @t38))
% 18.82/19.05  (step @p55 :rule instantiate :premises (@p3) :args ((@list tptp.top tptp.one)))
% 18.82/19.05  (step @p56 :rule instantiate :premises (@p26) :args (@t45))
% 18.82/19.05  (step @p57 :rule instantiate :premises (@p12) :args (@t45))
% 18.82/19.05  (step @p58 :rule instantiate :premises (@p1) :args ((@list @t31 @t46)))
% 18.82/19.05  (step @p59 :rule instantiate :premises (@p1) :args ((@list tptp.top @t47)))
% 18.82/19.05  (step @p60 :rule eq-symm :args (@t49 @t50))
% 18.82/19.05  (step @p61 :rule refl :args (@t8))
% 18.82/19.05  (step @p62 :rule cong :premises (@p61 @p60) :args ((=> @t8 @t51)))
% 18.82/19.05  (assume-push @p534 @t8)
% 18.82/19.05  (step @p64 :rule instantiate :premises (@p2) :args ((@list tptp.one tptp.top tptp.top)))
% 18.82/19.05  (step-pop @p535 :rule scope :premises (@p64))
% 18.82/19.05  (step @p65 :rule process_scope :premises (@p535) :args (@t51))
% 18.82/19.05  (step @p67 :rule eq_resolve :premises (@p65 @p62))
% 18.82/19.05  (step @p68 :rule implies_elim :premises (@p67))
% 18.82/19.05  (step @p69 :rule chain_m_resolution :premises (@p68 @p2) :args (@t52 @t37 @t53))
% 18.82/19.05  (step @p70 :rule instantiate :premises (@p12) :args ((@list @t47)))
% 18.82/19.05  (step @p71 :rule instantiate :premises (@p1) :args ((@list tptp.top @t46)))
% 18.82/19.05  (step @p72 :rule instantiate :premises (@p12) :args ((@list @t54)))
% 18.82/19.05  (step @p73 :rule instantiate :premises (@p1) :args (@t55))
% 18.82/19.05  (step @p74 :rule eq-symm :args (@t16 @t1))
% 18.82/19.05  (step @p75 :rule cong :premises (@p74) :args (@t18))
% 18.82/19.05  (step @p76 :rule eq_resolve :premises (@p6 @p75))
% 18.82/19.05  (step @p77 :rule instantiate :premises (@p76) :args ((@list @t56)))
% 18.82/19.05  (step @p78 :rule instantiate :premises (@p26) :args ((@list @t57)))
% 18.82/19.05  (step @p79 :rule eq-symm :args (@t58 @t59))
% 18.82/19.05  (step @p80 :rule cong :premises (@p61 @p79) :args ((=> @t8 @t60)))
% 18.82/19.05  (assume-push @p536 @t8)
% 18.82/19.05  (step @p82 :rule instantiate :premises (@p2) :args (@t61))
% 18.82/19.05  (step-pop @p537 :rule scope :premises (@p82))
% 18.82/19.05  (step @p83 :rule process_scope :premises (@p537) :args (@t60))
% 18.82/19.05  (step @p85 :rule eq_resolve :premises (@p83 @p80))
% 18.82/19.05  (step @p86 :rule implies_elim :premises (@p85))
% 18.82/19.05  (step @p87 :rule chain_m_resolution :premises (@p86 @p2) :args (@t62 @t37 @t53))
% 18.82/19.05  (step @p88 :rule instantiate :premises (@p2) :args ((@list @t54 @t57 @t63)))
% 18.82/19.05  (step @p89 :rule instantiate :premises (@p10) :args ((@list @t56 tptp.one)))
% 18.82/19.05  (step @p90 :rule instantiate :premises (@p2) :args ((@list tptp.one @t31 tptp.top)))
% 18.82/19.05  (step @p91 :rule instantiate :premises (@p76) :args ((@list @t64)))
% 18.82/19.05  (step @p92 :rule instantiate :premises (@p10) :args ((@list @t64 @t56)))
% 18.82/19.05  (step @p93 :rule instantiate :premises (@p12) :args ((@list @t40)))
% 18.82/19.05  (step @p94 :rule instantiate :premises (@p7) :args ((@list tptp.one tptp.one @t39)))
% 18.82/19.05  (step @p95 :rule instantiate :premises (@p12) :args ((@list @t31)))
% 18.82/19.05  (step @p96 :rule instantiate :premises (@p1) :args ((@list @t39 @t65)))
% 18.82/19.05  (step @p97 :rule instantiate :premises (@p3) :args ((@list tptp.top @t40)))
% 18.82/19.05  (step @p98 :rule instantiate :premises (@p2) :args ((@list @t46 tptp.top @t39)))
% 18.82/19.05  (step @p99 :rule eq-symm :args (@t67 @t68))
% 18.82/19.05  (step @p100 :rule cong :premises (@p61 @p99) :args ((=> @t8 @t69)))
% 18.82/19.05  (assume-push @p538 @t8)
% 18.82/19.05  (step @p102 :rule instantiate :premises (@p2) :args ((@list tptp.top @t39 @t39)))
% 18.82/19.05  (step-pop @p539 :rule scope :premises (@p102))
% 18.82/19.05  (step @p103 :rule process_scope :premises (@p539) :args (@t69))
% 18.82/19.05  (step @p105 :rule eq_resolve :premises (@p103 @p100))
% 18.82/19.05  (step @p106 :rule implies_elim :premises (@p105))
% 18.82/19.05  (step @p107 :rule chain_m_resolution :premises (@p106 @p2) :args (@t70 @t37 @t53))
% 18.82/19.05  (step @p108 :rule instantiate :premises (@p26) :args ((@list @t71)))
% 18.82/19.05  (step @p109 :rule instantiate :premises (@p3) :args ((@list @t40 tptp.top)))
% 18.82/19.05  (step @p110 :rule instantiate :premises (@p1) :args ((@list @t46 @t72)))
% 18.82/19.05  (step @p111 :rule instantiate :premises (@p1) :args ((@list tptp.one @t57)))
% 18.82/19.05  (step @p112 :rule instantiate :premises (@p1) :args ((@list tptp.top @t57)))
% 18.82/19.05  (step @p113 :rule instantiate :premises (@p1) :args ((@list @t40 @t72)))
% 18.82/19.05  (step @p114 :rule instantiate :premises (@p2) :args ((@list tptp.one @t54 @t57)))
% 18.82/19.05  (step @p115 :rule instantiate :premises (@p43) :args (@t73))
% 18.82/19.05  (step @p116 :rule instantiate :premises (@p3) :args (@t73))
% 18.82/19.05  (step @p117 :rule instantiate :premises (@p2) :args ((@list @t31 tptp.one tptp.top)))
% 18.82/19.05  (step @p118 :rule instantiate :premises (@p3) :args ((@list @t54 @t33)))
% 18.82/19.05  (step @p119 :rule instantiate :premises (@p2) :args ((@list tptp.top @t78 @t75)))
% 18.82/19.05  (step @p120 :rule instantiate :premises (@p10) :args (@t55))
% 18.82/19.05  (step @p121 :rule eq-symm :args (@t23 @t10))
% 18.82/19.05  (step @p122 :rule cong :premises (@p121) :args (@t24))
% 18.82/19.05  (step @p123 :rule eq_resolve :premises (@p11 @p122))
% 18.82/19.05  (step @p124 :rule instantiate :premises (@p123) :args (@t55))
% 18.82/19.05  (step @p125 :rule instantiate :premises (@p76) :args ((@list @t79)))
% 18.82/19.05  (step @p126 :rule instantiate :premises (@p26) :args ((@list @t80)))
% 18.82/19.05  (step @p127 :rule instantiate :premises (@p3) :args (@t35))
% 18.82/19.05  (step @p128 :rule instantiate :premises (@p9) :args ((@list tptp.one @t81)))
% 18.82/19.05  (step @p129 :rule instantiate :premises (@p12) :args ((@list @t82)))
% 18.82/19.05  (step @p130 :rule eq-symm :args (@t84 @t85))
% 18.82/19.05  (step @p131 :rule cong :premises (@p61 @p130) :args ((=> @t8 @t86)))
% 18.82/19.05  (assume-push @p540 @t8)
% 18.82/19.05  (step @p133 :rule instantiate :premises (@p2) :args (@t87))
% 18.82/19.05  (step-pop @p541 :rule scope :premises (@p133))
% 18.82/19.05  (step @p134 :rule process_scope :premises (@p541) :args (@t86))
% 18.82/19.05  (step @p136 :rule eq_resolve :premises (@p134 @p131))
% 18.82/19.05  (step @p137 :rule implies_elim :premises (@p136))
% 18.82/19.05  (step @p138 :rule chain_m_resolution :premises (@p137 @p2) :args (@t88 @t37 @t53))
% 18.82/19.05  (step @p139 :rule instantiate :premises (@p7) :args ((@list tptp.one @t81 @t39)))
% 18.82/19.05  (step @p140 :rule instantiate :premises (@p76) :args ((@list @t89)))
% 18.82/19.05  (step @p141 :rule instantiate :premises (@p10) :args ((@list @t89 tptp.one)))
% 18.82/19.05  (step @p142 :rule instantiate :premises (@p2) :args ((@list @t46 @t91 @t57)))
% 18.82/19.05  (step @p143 :rule instantiate :premises (@p2) :args ((@list @t46 @t57 tptp.one)))
% 18.82/19.05  (step @p144 :rule instantiate :premises (@p3) :args ((@list @t82 tptp.top)))
% 18.82/19.05  (step @p145 :rule instantiate :premises (@p1) :args ((@list @t46 @t92)))
% 18.82/19.05  (step @p146 :rule instantiate :premises (@p1) :args ((@list @t82 @t92)))
% 18.82/19.05  (step @p147 :rule instantiate :premises (@p2) :args ((@list @t92 @t82 tptp.top)))
% 18.82/19.05  (step @p148 :rule instantiate :premises (@p3) :args ((@list @t54 @t82)))
% 18.82/19.05  (step @p149 :rule instantiate :premises (@p2) :args ((@list @t57 tptp.one @t81)))
% 18.82/19.05  (step @p150 :rule instantiate :premises (@p1) :args ((@list @t92 @t57)))
% 18.82/19.05  (step @p151 :rule instantiate :premises (@p3) :args ((@list tptp.top @t81)))
% 18.82/19.05  (step @p152 :rule instantiate :premises (@p2) :args ((@list @t46 tptp.one tptp.one)))
% 18.82/19.05  (step @p153 :rule instantiate :premises (@p3) :args ((@list @t54 @t81)))
% 18.82/19.05  (step @p154 :rule instantiate :premises (@p2) :args ((@list @t57 tptp.one tptp.one)))
% 18.82/19.05  (step @p155 :rule instantiate :premises (@p2) :args ((@list @t65 @t39 @t66)))
% 18.82/19.05  (step @p156 :rule instantiate :premises (@p2) :args ((@list @t72 @t40 @t39)))
% 18.82/19.05  (assume-push @p542 @t94)
% 18.82/19.05  (assume-push @p543 @t96)
% 18.82/19.05  (assume-push @p544 @t98)
% 18.82/19.05  (assume-push @p545 @t100)
% 18.82/19.05  (assume-push @p546 @t103)
% 18.82/19.05  (assume-push @p547 @t104)
% 18.82/19.05  (assume-push @p548 @t36)
% 18.82/19.05  (assume-push @p549 @t106)
% 18.82/19.05  (assume-push @p550 @t108)
% 18.82/19.05  (assume-push @p551 @t110)
% 18.82/19.05  (assume-push @p552 @t44)
% 18.82/19.05  (assume-push @p553 @t116)
% 18.82/19.05  (assume-push @p554 @t118)
% 18.82/19.05  (assume-push @p555 @t120)
% 18.82/19.05  (assume-push @p556 @t121)
% 18.82/19.05  (assume-push @p557 @t123)
% 18.82/19.05  (assume-push @p558 @t52)
% 18.82/19.05  (assume-push @p559 @t124)
% 18.82/19.05  (assume-push @p560 @t126)
% 18.82/19.05  (assume-push @p561 @t128)
% 18.82/19.05  (assume-push @p562 @t130)
% 18.82/19.05  (assume-push @p563 @t132)
% 18.82/19.05  (assume-push @p564 @t134)
% 18.82/19.05  (assume-push @p565 @t62)
% 18.82/19.05  (assume-push @p566 @t136)
% 18.82/19.05  (assume-push @p567 @t138)
% 18.82/19.05  (assume-push @p568 @t141)
% 18.82/19.05  (assume-push @p569 @t142)
% 18.82/19.05  (assume-push @p570 @t145)
% 18.82/19.05  (assume-push @p571 @t147)
% 18.82/19.05  (assume-push @p572 @t150)
% 18.82/19.05  (assume-push @p573 @t152)
% 18.82/19.05  (assume-push @p574 @t154)
% 18.82/19.05  (assume-push @p575 @t160)
% 18.82/19.05  (assume-push @p576 @t162)
% 18.82/19.05  (assume-push @p577 @t70)
% 18.82/19.05  (assume-push @p578 @t163)
% 18.82/19.05  (assume-push @p579 @t165)
% 18.82/19.05  (assume-push @p580 @t166)
% 18.82/19.05  (assume-push @p581 @t168)
% 18.82/19.05  (assume-push @p582 @t171)
% 18.82/19.05  (assume-push @p583 @t173)
% 18.82/19.05  (assume-push @p584 @t175)
% 18.82/19.05  (assume-push @p585 @t176)
% 18.82/19.05  (assume-push @p586 @t178)
% 18.82/19.05  (assume-push @p587 @t180)
% 18.82/19.05  (assume-push @p588 @t181)
% 18.82/19.05  (assume-push @p589 @t184)
% 18.82/19.05  (assume-push @p590 @t187)
% 18.82/19.05  (assume-push @p591 @t189)
% 18.82/19.05  (assume-push @p592 @t190)
% 18.82/19.05  (assume-push @p593 @t192)
% 18.82/19.05  (assume-push @p594 @t193)
% 18.82/19.05  (assume-push @p595 @t195)
% 18.82/19.05  (assume-push @p596 @t197)
% 18.82/19.05  (assume-push @p597 @t88)
% 18.82/19.05  (assume-push @p598 @t199)
% 18.82/19.05  (assume-push @p599 @t201)
% 18.82/19.05  (assume-push @p600 @t203)
% 18.82/19.05  (assume-push @p601 @t206)
% 18.82/19.05  (assume-push @p602 @t209)
% 18.82/19.05  (assume-push @p603 @t215)
% 18.82/19.05  (assume-push @p604 @t217)
% 18.82/19.05  (assume-push @p605 @t219)
% 18.82/19.05  (assume-push @p606 @t221)
% 18.82/19.05  (assume-push @p607 @t224)
% 18.82/19.05  (assume-push @p608 @t225)
% 18.82/19.05  (assume-push @p609 @t227)
% 18.82/19.05  (assume-push @p610 @t234)
% 18.82/19.05  (assume-push @p611 @t236)
% 18.82/19.05  (assume-push @p612 @t238)
% 18.82/19.05  (assume-push @p613 @t239)
% 18.82/19.05  (assume-push @p614 @t242)
% 18.82/19.05  (assume-push @p615 @t244)
% 18.82/19.05  (step @p49 :rule instantiate :premises (@p1) :args (@t43))
% 18.82/19.05  (step @p231 :rule symm :premises (@p109))
% 18.82/19.05  (step @p232 :rule symm :premises (@p57))
% 18.82/19.05  (step @p233 :rule symm :premises (@p96))
% 18.82/19.05  (step @p234 :rule symm :premises (@p56))
% 18.82/19.05  (step @p235 :rule symm :premises (@p91))
% 18.82/19.05  (step @p236 :rule symm :premises (@p27))
% 18.82/19.05  (step @p237 :rule symm :premises (@p77))
% 18.82/19.05  (step @p238 :rule cong :premises (@p237) :args (@t137))
% 18.82/19.05  (step @p239 :rule symm :premises (@p89))
% 18.82/19.05  (step @p240 :rule refl :args (@t56))
% 18.82/19.05  (step @p241 :rule cong :premises (@p240 @p27) :args (@t131))
% 18.82/19.05  (step @p242 :rule trans :premises (@p77 @p241 @p239 @p238 @p236))
% 18.82/19.05  (step @p243 :rule refl :args (@t64))
% 18.82/19.05  (step @p244 :rule cong :premises (@p243 @p242) :args (@t143))
% 18.82/19.05  (step @p245 :rule trans :premises (@p244 @p235))
% 18.82/19.05  (step @p246 :rule cong :premises (@p245) :args (@t144))
% 18.82/19.05  (step @p247 :rule symm :premises (@p92))
% 18.82/19.05  (step @p248 :rule cong :premises (@p27 @p56) :args (@t148))
% 18.82/19.05  (step @p249 :rule refl :args (@t39))
% 18.82/19.05  (step @p250 :rule symm :premises (@p23))
% 18.82/19.05  (step @p34 :rule instantiate :premises (@p1) :args (@t35))
% 18.82/19.05  (step @p251 :rule trans :premises (@p29 @p34))
% 18.82/19.05  (step @p252 :rule cong :premises (@p251) :args (@t46))
% 18.82/19.05  (step @p253 :rule symm :premises (@p70))
% 18.82/19.05  (step @p254 :rule symm :premises (@p45))
% 18.82/19.05  (step @p255 :rule symm :premises (@p252))
% 18.82/19.05  (step @p256 :rule symm :premises (@p72))
% 18.82/19.05  (step @p257 :rule cong :premises (@p256 @p255) :args (@t135))
% 18.82/19.05  (step @p258 :rule refl :args (@t54))
% 18.82/19.05  (step @p259 :rule cong :premises (@p258 @p23) :args (@t59))
% 18.82/19.05  (step @p82 :rule instantiate :premises (@p2) :args (@t61))
% 18.82/19.05  (step @p260 :rule refl :args (@t31))
% 18.82/19.05  (step @p261 :rule cong :premises (@p260 @p251) :args (@t139))
% 18.82/19.05  (step @p262 :rule trans :premises (@p261 @p82 @p259 @p88 @p257 @p254))
% 18.82/19.05  (step @p263 :rule refl :args (tptp.one))
% 18.82/19.05  (step @p264 :rule cong :premises (@p263 @p262) :args (@t140))
% 18.82/19.05  (step @p265 :rule symm :premises (@p90))
% 18.82/19.05  (step @p266 :rule refl :args (tptp.top))
% 18.82/19.05  (step @p267 :rule cong :premises (@p29 @p266) :args (@t48))
% 18.82/19.05  (step @p268 :rule symm :premises (@p251))
% 18.82/19.05  (step @p269 :rule cong :premises (@p268 @p266) :args (@t179))
% 18.82/19.05  (step @p270 :rule trans :premises (@p117 @p269 @p267 @p265 @p264))
% 18.82/19.05  (step @p271 :rule cong :premises (@p270) :args (@t75))
% 18.82/19.05  (step @p272 :rule cong :premises (@p263 @p256) :args (@t174))
% 18.82/19.05  (step @p273 :rule symm :premises (@p114))
% 18.82/19.05  (step @p274 :rule refl :args (@t57))
% 18.82/19.05  (step @p275 :rule symm :premises (@p73))
% 18.82/19.05  (step @p276 :rule symm :premises (@p259))
% 18.82/19.05  (step @p277 :rule symm :premises (@p88))
% 18.82/19.05  (step @p278 :rule symm :premises (@p257))
% 18.82/19.05  (step @p279 :rule trans :premises (@p45 @p278 @p277 @p276 @p275))
% 18.82/19.05  (step @p280 :rule cong :premises (@p279 @p274) :args (@t170))
% 18.82/19.05  (step @p281 :rule symm :premises (@p118))
% 18.82/19.05  (step @p282 :rule cong :premises (@p274 @p251) :args (@t169))
% 18.82/19.05  (step @p283 :rule symm :premises (@p280))
% 18.82/19.05  (step @p284 :rule symm :premises (@p272))
% 18.82/19.05  (step @p285 :rule trans :premises (@p284 @p114 @p283 @p112 @p282))
% 18.82/19.05  (step @p286 :rule cong :premises (@p285) :args (@t76))
% 18.82/19.05  (step @p287 :rule cong :premises (@p23) :args (@t31))
% 18.82/19.05  (step @p288 :rule cong :premises (@p287 @p286) :args (@t77))
% 18.82/19.05  (step @p289 :rule trans :premises (@p288 @p281))
% 18.82/19.05  (step @p290 :rule cong :premises (@p289) :args (@t78))
% 18.82/19.05  (step @p291 :rule cong :premises (@p266 @p290) :args (@t182))
% 18.82/19.05  (step @p292 :rule trans :premises (@p291 @p280 @p273 @p272))
% 18.82/19.05  (step @p293 :rule cong :premises (@p292 @p271) :args (@t183))
% 18.82/19.05  (step @p294 :rule cong :premises (@p266 @p116) :args (@t93))
% 18.82/19.05  (step @p295 :rule trans :premises (@p21 @p294 @p119 @p293 @p253))
% 18.82/19.05  (step @p296 :rule cong :premises (@p295) :args (@t76))
% 18.82/19.05  (step @p297 :rule cong :premises (@p251 @p295) :args (@t122))
% 18.82/19.05  (step @p298 :rule symm :premises (@p295))
% 18.82/19.05  (step @p299 :rule symm :premises (@p21))
% 18.82/19.05  (step @p300 :rule symm :premises (@p294))
% 18.82/19.05  (step @p301 :rule symm :premises (@p119))
% 18.82/19.05  (step @p302 :rule symm :premises (@p293))
% 18.82/19.05  (step @p303 :rule symm :premises (@p129))
% 18.82/19.05  (step @p304 :rule symm :premises (@p146))
% 18.82/19.05  (step @p305 :rule trans :premises (@p304 @p303 @p70 @p302 @p301 @p300 @p299))
% 18.82/19.05  (step @p306 :rule trans :premises (@p305 @p295))
% 18.82/19.05  (step @p307 :rule cong :premises (@p306 @p298) :args (@t220))
% 18.82/19.05  (step @p133 :rule instantiate :premises (@p2) :args (@t87))
% 18.82/19.05  (step @p308 :rule trans :premises (@p267 @p265 @p264))
% 18.82/19.05  (step @p309 :rule cong :premises (@p263 @p308) :args (@t49))
% 18.82/19.05  (step @p310 :rule symm :premises (@p297))
% 18.82/19.05  (step @p311 :rule symm :premises (@p269))
% 18.82/19.05  (step @p312 :rule symm :premises (@p267))
% 18.82/19.05  (step @p313 :rule symm :premises (@p264))
% 18.82/19.05  (step @p314 :rule trans :premises (@p313 @p90 @p312 @p311 @p310 @p59 @p69 @p309 @p40))
% 18.82/19.05  (step @p315 :rule cong :premises (@p263 @p314) :args (@t105))
% 18.82/19.05  (step @p316 :rule trans :premises (@p70 @p302 @p301 @p300 @p299 @p313 @p90 @p312 @p311 @p310 @p59 @p69 @p309 @p315 @p133))
% 18.82/19.05  (step @p317 :rule refl :args (@t92))
% 18.82/19.05  (step @p318 :rule cong :premises (@p317 @p316) :args (@t210))
% 18.82/19.05  (step @p319 :rule trans :premises (@p318 @p147 @p307 @p297 @p269 @p267 @p265 @p264))
% 18.82/19.05  (step @p320 :rule cong :premises (@p319) :args (@t211))
% 18.82/19.05  (step @p321 :rule trans :premises (@p320 @p296 @p252))
% 18.82/19.05  (step @p322 :rule symm :premises (@p115))
% 18.82/19.05  (step @p323 :rule cong :premises (@p263 @p298) :args (@t107))
% 18.82/19.05  (step @p324 :rule symm :premises (@p58))
% 18.82/19.05  (step @p325 :rule cong :premises (@p324) :args (@t114))
% 18.82/19.05  (step @p326 :rule trans :premises (@p325 @p44 @p323 @p322 @p290))
% 18.82/19.05  (step @p327 :rule symm :premises (@p325))
% 18.82/19.05  (step @p328 :rule symm :premises (@p44))
% 18.82/19.05  (step @p329 :rule symm :premises (@p323))
% 18.82/19.05  (step @p330 :rule symm :premises (@p290))
% 18.82/19.05  (step @p331 :rule symm :premises (@p148))
% 18.82/19.05  (step @p332 :rule symm :premises (@p149))
% 18.82/19.05  (step @p333 :rule refl :args (@t81))
% 18.82/19.05  (step @p334 :rule symm :premises (@p127))
% 18.82/19.05  (step @p335 :rule trans :premises (@p21 @p294 @p119 @p293 @p253 @p95))
% 18.82/19.05  (step @p336 :rule cong :premises (@p335) :args (@t76))
% 18.82/19.05  (step @p337 :rule symm :premises (@p296))
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% 18.82/19.05  (step @p339 :rule cong :premises (@p338 @p274) :args (@t207))
% 18.82/19.05  (step @p340 :rule symm :premises (@p78))
% 18.82/19.05  (step @p341 :rule symm :premises (@p140))
% 18.82/19.05  (step @p342 :rule cong :premises (@p341) :args (@t202))
% 18.82/19.05  (step @p343 :rule symm :premises (@p141))
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% 18.82/19.05  (step @p345 :rule cong :premises (@p287 @p344) :args (@t71))
% 18.82/19.05  (step @p346 :rule symm :premises (@p108))
% 18.82/19.05  (step @p347 :rule symm :premises (@p345))
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% 18.82/19.05  (step @p349 :rule cong :premises (@p348) :args (@t79))
% 18.82/19.05  (step @p350 :rule symm :premises (@p125))
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% 18.82/19.05  (step @p352 :rule cong :premises (@p351 @p242) :args (@t185))
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% 18.82/19.05  (step @p354 :rule cong :premises (@p353) :args (@t191))
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% 18.82/19.05  (step @p356 :rule cong :premises (@p355) :args (@t90))
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% 18.82/19.05  (step @p358 :rule cong :premises (@p240 @p357) :args (@t91))
% 18.82/19.05  (step @p359 :rule trans :premises (@p358 @p343 @p342 @p340))
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% 18.82/19.05  (step @p361 :rule cong :premises (@p360 @p359) :args (@t204))
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% 18.82/19.05  (step @p363 :rule cong :premises (@p362 @p274) :args (@t205))
% 18.82/19.05  (step @p364 :rule cong :premises (@p360 @p124) :args (@t207))
% 18.82/19.05  (step @p365 :rule symm :premises (@p339))
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% 18.82/19.05  (step @p370 :rule cong :premises (@p150) :args ((tptp.complement @t226)))
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% 18.82/19.05  (step @p372 :rule symm :premises (@p22))
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% 18.82/19.05  (step @p374 :rule cong :premises (@p373 @p263) :args (@t208))
% 18.82/19.05  (step @p375 :rule cong :premises (@p360 @p366) :args (@t111))
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% 18.82/19.05  (step @p377 :rule cong :premises (@p376 @p263) :args (@t235))
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% 18.82/19.05  (step @p379 :rule cong :premises (@p378) :args (@t229))
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% 18.82/19.05  (step @p381 :rule symm :premises (@p154))
% 18.82/19.05  (step @p382 :rule cong :premises (@p366 @p263) :args (@t81))
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% 18.82/19.05  (step @p384 :rule cong :premises (@p383) :args (@t230))
% 18.82/19.05  (step @p385 :rule cong :premises (@p376) :args (@t112))
% 18.82/19.05  (step @p386 :rule cong :premises (@p326 @p385) :args (@t115))
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% 18.82/19.05  (step @p390 :rule cong :premises (@p389 @p384) :args (@t231))
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% 18.82/19.05  (step @p392 :rule cong :premises (@p391) :args (@t232))
% 18.82/19.05  (step @p393 :rule cong :premises (@p392 @p379) :args (@t233))
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% 18.82/19.05  (step @p395 :rule cong :premises (@p394) :args (@t76))
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% 18.82/19.05  (step @p397 :rule cong :premises (@p396 @p369) :args (@t216))
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% 18.82/19.05  (step @p400 :rule symm :premises (@p145))
% 18.82/19.05  (step @p401 :rule cong :premises (@p400) :args (@t213))
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% 18.82/19.05  (step @p403 :rule trans :premises (@p402 @p326))
% 18.82/19.05  (step @p404 :rule cong :premises (@p403 @p321) :args (@t214))
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% 18.82/19.05  (step @p406 :rule cong :premises (@p242 @p242) :args (@t101))
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% 18.82/19.05  (step @p408 :rule cong :premises (@p242 @p407) :args (@t194))
% 18.82/19.05  (step @p409 :rule trans :premises (@p128 @p408))
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% 18.82/19.05  (step @p411 :rule symm :premises (@p408))
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% 18.82/19.05  (step @p413 :rule trans :premises (@p412 @p409 @p405))
% 18.82/19.05  (step @p414 :rule cong :premises (@p413 @p249) :args ((tptp.composition @t95 @t39)))
% 18.82/19.05  (step @p415 :rule cong :premises (@p22 @p249) :args (@t198))
% 18.82/19.05  (step @p416 :rule symm :premises (@p139))
% 18.82/19.05  (step @p417 :rule symm :premises (@p94))
% 18.82/19.05  (step @p418 :rule symm :premises (@p248))
% 18.82/19.05  (step @p419 :rule symm :premises (@p246))
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% 18.82/19.05  (step @p421 :rule cong :premises (@p420 @p420) :args (@t66))
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% 18.82/19.05  (step @p423 :rule cong :premises (@p420 @p422) :args (@t240))
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% 18.82/19.05  (step @p425 :rule refl :args (@t65))
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% 18.82/19.05  (step @p427 :rule symm :premises (@p155))
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% 18.82/19.05  (step @p430 :rule trans :premises (@p298 @p429))
% 18.82/19.05  (step @p431 :rule cong :premises (@p430 @p428) :args (@t67))
% 18.82/19.05  (step @p432 :rule trans :premises (@p107 @p431 @p427 @p426 @p233 @p232))
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% 18.82/19.05  (step @p435 :rule symm :premises (@p156))
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% 18.82/19.05  (step @p437 :rule trans :premises (@p298 @p436))
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% 18.82/19.05  (step @p448 :rule cong :premises (@p447 @p446) :args (@t159))
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% 18.82/19.05  (step-pop @p616 :rule scope :premises (@p449))
% 18.82/19.05  (step-pop @p617 :rule scope :premises (@p616))
% 18.82/19.05  (step-pop @p618 :rule scope :premises (@p617))
% 18.82/19.05  (step-pop @p619 :rule scope :premises (@p618))
% 18.82/19.05  (step-pop @p620 :rule scope :premises (@p619))
% 18.82/19.05  (step-pop @p621 :rule scope :premises (@p620))
% 18.82/19.05  (step-pop @p622 :rule scope :premises (@p621))
% 18.82/19.05  (step-pop @p623 :rule scope :premises (@p622))
% 18.82/19.05  (step-pop @p624 :rule scope :premises (@p623))
% 18.82/19.05  (step-pop @p625 :rule scope :premises (@p624))
% 18.82/19.05  (step-pop @p626 :rule scope :premises (@p625))
% 18.82/19.05  (step-pop @p627 :rule scope :premises (@p626))
% 18.82/19.05  (step-pop @p628 :rule scope :premises (@p627))
% 18.82/19.05  (step-pop @p629 :rule scope :premises (@p628))
% 18.82/19.05  (step-pop @p630 :rule scope :premises (@p629))
% 18.82/19.05  (step-pop @p631 :rule scope :premises (@p630))
% 18.82/19.05  (step-pop @p632 :rule scope :premises (@p631))
% 18.82/19.05  (step-pop @p633 :rule scope :premises (@p632))
% 18.82/19.05  (step-pop @p634 :rule scope :premises (@p633))
% 18.82/19.05  (step-pop @p635 :rule scope :premises (@p634))
% 18.82/19.05  (step-pop @p636 :rule scope :premises (@p635))
% 18.82/19.05  (step-pop @p637 :rule scope :premises (@p636))
% 18.82/19.05  (step-pop @p638 :rule scope :premises (@p637))
% 18.82/19.05  (step-pop @p639 :rule scope :premises (@p638))
% 18.82/19.05  (step-pop @p640 :rule scope :premises (@p639))
% 18.82/19.05  (step-pop @p641 :rule scope :premises (@p640))
% 18.82/19.05  (step-pop @p642 :rule scope :premises (@p641))
% 18.82/19.05  (step-pop @p643 :rule scope :premises (@p642))
% 18.82/19.05  (step-pop @p644 :rule scope :premises (@p643))
% 18.82/19.05  (step-pop @p645 :rule scope :premises (@p644))
% 18.82/19.05  (step-pop @p646 :rule scope :premises (@p645))
% 18.82/19.05  (step-pop @p647 :rule scope :premises (@p646))
% 18.82/19.05  (step-pop @p648 :rule scope :premises (@p647))
% 18.82/19.05  (step-pop @p649 :rule scope :premises (@p648))
% 18.82/19.05  (step-pop @p650 :rule scope :premises (@p649))
% 18.82/19.05  (step-pop @p651 :rule scope :premises (@p650))
% 18.82/19.05  (step-pop @p652 :rule scope :premises (@p651))
% 18.82/19.05  (step-pop @p653 :rule scope :premises (@p652))
% 18.82/19.05  (step-pop @p654 :rule scope :premises (@p653))
% 18.82/19.05  (step-pop @p655 :rule scope :premises (@p654))
% 18.82/19.05  (step-pop @p656 :rule scope :premises (@p655))
% 18.82/19.05  (step-pop @p657 :rule scope :premises (@p656))
% 18.82/19.05  (step-pop @p658 :rule scope :premises (@p657))
% 18.82/19.05  (step-pop @p659 :rule scope :premises (@p658))
% 18.82/19.05  (step-pop @p660 :rule scope :premises (@p659))
% 18.82/19.05  (step-pop @p661 :rule scope :premises (@p660))
% 18.82/19.05  (step-pop @p662 :rule scope :premises (@p661))
% 18.82/19.05  (step-pop @p663 :rule scope :premises (@p662))
% 18.82/19.05  (step-pop @p664 :rule scope :premises (@p663))
% 18.82/19.05  (step-pop @p665 :rule scope :premises (@p664))
% 18.82/19.05  (step-pop @p666 :rule scope :premises (@p665))
% 18.82/19.05  (step-pop @p667 :rule scope :premises (@p666))
% 18.82/19.05  (step-pop @p668 :rule scope :premises (@p667))
% 18.82/19.05  (step-pop @p669 :rule scope :premises (@p668))
% 18.82/19.05  (step-pop @p670 :rule scope :premises (@p669))
% 18.82/19.05  (step-pop @p671 :rule scope :premises (@p670))
% 18.82/19.05  (step-pop @p672 :rule scope :premises (@p671))
% 18.82/19.05  (step-pop @p673 :rule scope :premises (@p672))
% 18.82/19.05  (step-pop @p674 :rule scope :premises (@p673))
% 18.82/19.05  (step-pop @p675 :rule scope :premises (@p674))
% 18.82/19.05  (step-pop @p676 :rule scope :premises (@p675))
% 18.82/19.05  (step-pop @p677 :rule scope :premises (@p676))
% 18.82/19.05  (step-pop @p678 :rule scope :premises (@p677))
% 18.82/19.05  (step-pop @p679 :rule scope :premises (@p678))
% 18.82/19.05  (step-pop @p680 :rule scope :premises (@p679))
% 18.82/19.05  (step-pop @p681 :rule scope :premises (@p680))
% 18.82/19.05  (step-pop @p682 :rule scope :premises (@p681))
% 18.82/19.05  (step-pop @p683 :rule scope :premises (@p682))
% 18.82/19.05  (step-pop @p684 :rule scope :premises (@p683))
% 18.82/19.05  (step-pop @p685 :rule scope :premises (@p684))
% 18.82/19.05  (step-pop @p686 :rule scope :premises (@p685))
% 18.82/19.05  (step-pop @p687 :rule scope :premises (@p686))
% 18.82/19.05  (step-pop @p688 :rule scope :premises (@p687))
% 18.82/19.05  (step-pop @p689 :rule scope :premises (@p688))
% 18.82/19.05  (step @p450 :rule process_scope :premises (@p689) :args (@t245))
% 18.82/19.05  (step @p525 :rule implies_elim :premises (@p450))
% 18.82/19.05  (step @p526 :rule cnf_and_neg :args (@t246))
% 18.82/19.05  (step @p527 :rule resolution :premises (@p526 @p525) :args (true @t246))
% 18.82/19.05  (step @p528 :rule reordering :premises (@p527) :args ((or @t245 (not @t94) (not @t96) (not @t98) (not @t100) (not @t103) (not @t104) (not @t36) (not @t106) (not @t108) (not @t110) (not @t44) (not @t116) (not @t118) (not @t120) (not @t121) (not @t123) (not @t52) (not @t124) (not @t126) (not @t128) (not @t130) (not @t132) (not @t134) (not @t62) (not @t136) (not @t138) (not @t141) (not @t142) (not @t145) (not @t147) (not @t150) (not @t152) (not @t154) (not @t160) (not @t162) (not @t70) (not @t163) (not @t165) (not @t166) (not @t168) (not @t171) (not @t173) (not @t175) (not @t176) (not @t178) (not @t180) (not @t181) (not @t184) (not @t187) (not @t189) (not @t190) (not @t192) (not @t193) (not @t195) (not @t197) (not @t88) (not @t199) (not @t201) (not @t203) (not @t206) (not @t209) (not @t215) (not @t217) (not @t219) (not @t221) (not @t224) (not @t225) (not @t227) (not @t234) (not @t236) (not @t238) (not @t239) (not @t242) (not @t244))))
% 18.82/19.05  (step @p529 false :rule chain_m_resolution :premises (@p528 @p156 @p155 @p154 @p153 @p152 @p151 @p150 @p149 @p148 @p147 @p146 @p145 @p144 @p143 @p142 @p141 @p140 @p139 @p138 @p129 @p128 @p127 @p126 @p125 @p124 @p120 @p119 @p118 @p117 @p116 @p115 @p114 @p113 @p112 @p111 @p110 @p109 @p108 @p107 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p78 @p77 @p73 @p72 @p71 @p70 @p69 @p59 @p58 @p57 @p56 @p55 @p54 @p45 @p44 @p40 @p39 @p29 @p28 @p27 @p23 @p22 @p21 @p20) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true) (@list @t244 @t242 @t239 @t238 @t236 @t234 @t227 @t225 @t224 @t221 @t219 @t217 @t215 @t209 @t206 @t203 @t201 @t199 @t88 @t197 @t195 @t193 @t192 @t190 @t189 @t187 @t184 @t181 @t180 @t178 @t176 @t175 @t173 @t171 @t168 @t166 @t165 @t163 @t70 @t162 @t160 @t154 @t152 @t150 @t147 @t145 @t142 @t141 @t138 @t136 @t62 @t134 @t132 @t130 @t128 @t126 @t124 @t52 @t123 @t121 @t120 @t118 @t116 @t44 @t110 @t108 @t106 @t36 @t104 @t103 @t100 @t98 @t96 @t94 @t245)))
% 18.82/19.05  )
% 18.82/19.05  % SZS output end Proof
% 18.82/19.05  % cvc5 exiting
%------------------------------------------------------------------------------