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cvc5---1.3.4.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : LAT228-1 : TPTP v9.2.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 08:29:56 AM UTC 2026

% Result   : Unsatisfiable 19.02s 19.28s
% Output   : Proof 19.02s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT228-1 : TPTP v9.2.1. Released v3.1.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.33  % Computer : n015.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 06:04:19 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.31/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.31/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 15.71/15.98  --- Run --no-e-matching --full-saturate-quant at 6...
% 19.02/19.28  % SZS status Unsatisfiable
% 19.02/19.28  % SZS output start Proof
% 19.02/19.29  (
% 19.02/19.29  (declare-sort $$unsorted 0)
% 19.02/19.29  (declare-const tptp.a $$unsorted)
% 19.02/19.29  (declare-const tptp.complement (-> $$unsorted $$unsorted))
% 19.02/19.29  (declare-const tptp.b $$unsorted)
% 19.02/19.29  (declare-const tptp.one $$unsorted)
% 19.02/19.29  (declare-const tptp.zero $$unsorted)
% 19.02/19.29  (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted))
% 19.02/19.29  (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted))
% 19.02/19.29  (define @t1 () (@var "X" $$unsorted))
% 19.02/19.29  (define @t2 () (tptp.meet @t1 @t1))
% 19.02/19.29  (define @t3 () (@list @t1))
% 19.02/19.29  (define @t4 () (forall @t3 (= @t2 @t1)))
% 19.02/19.29  (define @t5 () (tptp.join @t1 @t1))
% 19.02/19.29  (define @t6 () (forall @t3 (= @t5 @t1)))
% 19.02/19.29  (define @t7 () (@var "Y" $$unsorted))
% 19.02/19.29  (define @t8 () (tptp.join @t1 @t7))
% 19.02/19.29  (define @t9 () (tptp.meet @t1 @t8))
% 19.02/19.29  (define @t10 () (@list @t1 @t7))
% 19.02/19.29  (define @t11 () (forall @t10 (= @t9 @t1)))
% 19.02/19.29  (define @t12 () (tptp.meet @t1 @t7))
% 19.02/19.29  (define @t13 () (tptp.join @t1 @t12))
% 19.02/19.29  (define @t14 () (forall @t10 (= @t13 @t1)))
% 19.02/19.29  (define @t15 () (forall @t10 (= @t12 (tptp.meet @t7 @t1))))
% 19.02/19.29  (define @t16 () (forall @t10 (= @t8 (tptp.join @t7 @t1))))
% 19.02/19.29  (define @t17 () (@var "Z" $$unsorted))
% 19.02/19.29  (define @t18 () (@list @t1 @t7 @t17))
% 19.02/19.29  (define @t19 () (tptp.complement @t1))
% 19.02/19.29  (define @t20 () (tptp.join @t1 @t19))
% 19.02/19.29  (define @t21 () (forall @t3 (= @t20 tptp.one)))
% 19.02/19.29  (define @t22 () (tptp.meet @t1 @t19))
% 19.02/19.29  (define @t23 () (forall @t3 (= @t22 tptp.zero)))
% 19.02/19.29  (define @t24 () (not (= @t8 tptp.one)))
% 19.02/19.29  (define @t25 () (not (= @t12 tptp.zero)))
% 19.02/19.29  (define @t26 () (or @t25 @t24 (= @t19 @t7)))
% 19.02/19.29  (define @t27 () (forall @t10 @t26))
% 19.02/19.29  (define @t28 () (tptp.meet tptp.b tptp.a))
% 19.02/19.29  (define @t29 () (tptp.complement tptp.a))
% 19.02/19.29  (define @t30 () (tptp.complement tptp.b))
% 19.02/19.29  (define @t31 () (tptp.join @t30 @t29))
% 19.02/19.29  (define @t32 () (@list tptp.b))
% 19.02/19.29  (define @t33 () (@list tptp.b @t29))
% 19.02/19.29  (define @t34 () (@list tptp.a))
% 19.02/19.29  (define @t35 () (@list tptp.a @t29))
% 19.02/19.29  (define @t36 () (@list tptp.b tptp.a @t29))
% 19.02/19.29  (define @t37 () (tptp.join tptp.b @t29))
% 19.02/19.29  (define @t38 () (tptp.meet tptp.b @t29))
% 19.02/19.29  (define @t39 () (@list @t38))
% 19.02/19.29  (define @t40 () (@list @t37 tptp.a))
% 19.02/19.29  (define @t41 () (tptp.join tptp.b tptp.a))
% 19.02/19.29  (define @t42 () (tptp.meet @t29 @t41))
% 19.02/19.29  (define @t43 () (tptp.join tptp.a @t42))
% 19.02/19.29  (define @t44 () (@list @t43))
% 19.02/19.29  (define @t45 () (@list @t37 @t38))
% 19.02/19.29  (define @t46 () (tptp.complement @t43))
% 19.02/19.29  (define @t47 () (@list @t46))
% 19.02/19.29  (define @t48 () (tptp.complement @t38))
% 19.02/19.29  (define @t49 () (tptp.meet @t29 @t43))
% 19.02/19.29  (define @t50 () (tptp.join @t28 @t49))
% 19.02/19.29  (define @t51 () (tptp.complement @t50))
% 19.02/19.29  (define @t52 () (@list tptp.a @t38))
% 19.02/19.29  (define @t53 () (@list tptp.b @t43))
% 19.02/19.29  (define @t54 () (tptp.join @t37 tptp.a))
% 19.02/19.29  (define @t55 () (tptp.meet @t38 @t54))
% 19.02/19.29  (define @t56 () (tptp.join tptp.a @t55))
% 19.02/19.29  (define @t57 () (@list @t37 @t46))
% 19.02/19.29  (define @t58 () (tptp.complement @t46))
% 19.02/19.29  (define @t59 () (tptp.meet tptp.a @t29))
% 19.02/19.29  (define @t60 () (@list @t38 @t46))
% 19.02/19.29  (define @t61 () (@list @t46 @t29))
% 19.02/19.29  (define @t62 () (tptp.join @t29 @t30))
% 19.02/19.29  (define @t63 () (= @t62 @t31))
% 19.02/19.29  (define @t64 () (@list @t29 @t30))
% 19.02/19.29  (define @t65 () (= @t31 @t62))
% 19.02/19.29  (define @t66 () (@list false))
% 19.02/19.29  (define @t67 () (tptp.join @t38 @t46))
% 19.02/19.29  (define @t68 () (tptp.join tptp.a @t67))
% 19.02/19.29  (define @t69 () (not (= @t68 tptp.one)))
% 19.02/19.29  (define @t70 () (tptp.meet tptp.a @t67))
% 19.02/19.29  (define @t71 () (not (= @t70 tptp.zero)))
% 19.02/19.29  (define @t72 () (or @t71 @t69 (= @t67 @t29)))
% 19.02/19.29  (define @t73 () (forall @t10 (or @t25 @t24 (= @t7 @t19))))
% 19.02/19.29  (define @t74 () (= @t29 @t67))
% 19.02/19.29  (define @t75 () (= tptp.one @t68))
% 19.02/19.29  (define @t76 () (not @t75))
% 19.02/19.29  (define @t77 () (= tptp.zero @t70))
% 19.02/19.29  (define @t78 () (not @t77))
% 19.02/19.29  (define @t79 () (or @t78 @t76 @t74))
% 19.02/19.29  (define @t80 () (@list @t73))
% 19.02/19.29  (define @t81 () (tptp.join tptp.b tptp.b))
% 19.02/19.29  (define @t82 () (tptp.meet @t29 @t81))
% 19.02/19.29  (define @t83 () (tptp.join tptp.a @t38))
% 19.02/19.29  (define @t84 () (tptp.join @t81 @t30))
% 19.02/19.29  (define @t85 () (tptp.join tptp.a @t29))
% 19.02/19.29  (define @t86 () (tptp.join tptp.b @t85))
% 19.02/19.29  (define @t87 () (tptp.meet @t46 @t37))
% 19.02/19.29  (define @t88 () (tptp.meet @t37 @t38))
% 19.02/19.29  (define @t89 () (tptp.meet @t37 @t37))
% 19.02/19.29  (define @t90 () (tptp.join @t89 @t88))
% 19.02/19.29  (define @t91 () (tptp.join @t37 @t37))
% 19.02/19.29  (define @t92 () (tptp.meet @t38 @t91))
% 19.02/19.29  (define @t93 () (tptp.join @t37 @t92))
% 19.02/19.29  (define @t94 () (tptp.meet @t38 @t93))
% 19.02/19.29  (define @t95 () (tptp.join @t89 @t94))
% 19.02/19.29  (define @t96 () (tptp.join @t38 @t48))
% 19.02/19.29  (define @t97 () (tptp.meet @t38 @t96))
% 19.02/19.29  (define @t98 () (tptp.join @t37 @t38))
% 19.02/19.29  (define @t99 () (tptp.complement @t29))
% 19.02/19.29  (define @t100 () (= tptp.a @t99))
% 19.02/19.29  (define @t101 () (tptp.join @t29 tptp.a))
% 19.02/19.29  (define @t102 () (not (= @t101 tptp.one)))
% 19.02/19.29  (define @t103 () (tptp.meet @t29 tptp.a))
% 19.02/19.29  (define @t104 () (not (= @t103 tptp.zero)))
% 19.02/19.29  (define @t105 () (or @t104 @t102 @t100))
% 19.02/19.29  (define @t106 () (= tptp.one @t101))
% 19.02/19.29  (define @t107 () (not @t106))
% 19.02/19.29  (define @t108 () (= tptp.zero @t103))
% 19.02/19.29  (define @t109 () (not @t108))
% 19.02/19.29  (define @t110 () (or @t109 @t107 @t100))
% 19.02/19.29  (define @t111 () (@list false false false))
% 19.02/19.29  (define @t112 () (@list @t43 @t29))
% 19.02/19.29  (define @t113 () (tptp.meet @t46 (tptp.join @t43 @t29)))
% 19.02/19.29  (define @t114 () (tptp.join @t29 @t113))
% 19.02/19.29  (define @t115 () (tptp.meet @t46 @t114))
% 19.02/19.29  (define @t116 () (tptp.meet tptp.a @t85))
% 19.02/19.29  (define @t117 () (tptp.meet tptp.a @t91))
% 19.02/19.29  (define @t118 () (tptp.meet @t38 @t56))
% 19.02/19.29  (define @t119 () (tptp.meet @t29 tptp.b))
% 19.02/19.29  (define @t120 () (tptp.meet @t119 @t56))
% 19.02/19.29  (define @t121 () (tptp.join @t28 @t38))
% 19.02/19.29  (define @t122 () (tptp.meet tptp.b @t43))
% 19.02/19.29  (define @t123 () (tptp.join @t41 @t38))
% 19.02/19.29  (define @t124 () (tptp.join tptp.b @t43))
% 19.02/19.29  (define @t125 () (tptp.join @t43 tptp.b))
% 19.02/19.29  (define @t126 () (tptp.meet @t43 @t125))
% 19.02/19.29  (define @t127 () (tptp.join (tptp.meet @t43 @t29) @t115))
% 19.02/19.29  (define @t128 () (tptp.meet @t38 @t38))
% 19.02/19.29  (define @t129 () (tptp.meet @t128 @t48))
% 19.02/19.29  (define @t130 () (tptp.meet @t38 @t59))
% 19.02/19.29  (define @t131 () (tptp.meet @t59 tptp.b))
% 19.02/19.29  (define @t132 () (tptp.meet tptp.b @t59))
% 19.02/19.29  (define @t133 () (= @t131 @t132))
% 19.02/19.29  (define @t134 () (tptp.join tptp.b @t46))
% 19.02/19.29  (define @t135 () (not (= @t134 tptp.one)))
% 19.02/19.29  (define @t136 () (tptp.meet tptp.b @t46))
% 19.02/19.29  (define @t137 () (not (= @t136 tptp.zero)))
% 19.02/19.29  (define @t138 () (or @t137 @t135 (= @t46 @t30)))
% 19.02/19.29  (define @t139 () (= @t30 @t46))
% 19.02/19.29  (define @t140 () (= tptp.one @t134))
% 19.02/19.29  (define @t141 () (not @t140))
% 19.02/19.29  (define @t142 () (= tptp.zero @t136))
% 19.02/19.29  (define @t143 () (not @t142))
% 19.02/19.29  (define @t144 () (or @t143 @t141 @t139))
% 19.02/19.29  (define @t145 () (tptp.meet @t46 @t46))
% 19.02/19.29  (define @t146 () (tptp.meet @t46 @t58))
% 19.02/19.29  (define @t147 () (tptp.meet @t46 @t146))
% 19.02/19.29  (define @t148 () (tptp.meet @t56 @t46))
% 19.02/19.29  (define @t149 () (tptp.meet @t38 @t148))
% 19.02/19.29  (define @t150 () (tptp.meet @t38 @t46))
% 19.02/19.29  (define @t151 () (tptp.meet @t46 @t38))
% 19.02/19.29  (define @t152 () (tptp.join @t87 @t151))
% 19.02/19.29  (define @t153 () (tptp.meet @t46 @t152))
% 19.02/19.29  (define @t154 () (tptp.meet @t37 @t46))
% 19.02/19.29  (define @t155 () (tptp.join @t89 @t154))
% 19.02/19.29  (define @t156 () (tptp.meet @t46 @t91))
% 19.02/19.29  (define @t157 () (tptp.join @t37 @t156))
% 19.02/19.29  (define @t158 () (tptp.meet @t46 @t157))
% 19.02/19.29  (define @t159 () (tptp.join @t46 @t38))
% 19.02/19.29  (define @t160 () (tptp.meet @t46 @t98))
% 19.02/19.29  (define @t161 () (tptp.join @t38 @t160))
% 19.02/19.29  (define @t162 () (tptp.meet @t46 @t29))
% 19.02/19.29  (define @t163 () (tptp.meet @t29 @t46))
% 19.02/19.29  (define @t164 () (= tptp.a @t28))
% 19.02/19.29  (define @t165 () (= tptp.b @t81))
% 19.02/19.29  (define @t166 () (tptp.join tptp.b @t30))
% 19.02/19.29  (define @t167 () (= tptp.one @t166))
% 19.02/19.29  (define @t168 () (= tptp.b (tptp.join tptp.b @t28)))
% 19.02/19.29  (define @t169 () (= @t38 @t119))
% 19.02/19.29  (define @t170 () (= tptp.one @t85))
% 19.02/19.29  (define @t171 () (= tptp.zero @t59))
% 19.02/19.29  (define @t172 () (= tptp.b (tptp.join tptp.b @t38)))
% 19.02/19.29  (define @t173 () (= tptp.a @t116))
% 19.02/19.29  (define @t174 () (= (tptp.join @t41 @t29) @t86))
% 19.02/19.29  (define @t175 () (= @t84 (tptp.join tptp.b @t166)))
% 19.02/19.29  (define @t176 () (= @t37 (tptp.join @t37 @t89)))
% 19.02/19.29  (define @t177 () (= @t37 @t89))
% 19.02/19.29  (define @t178 () (= @t38 @t128))
% 19.02/19.29  (define @t179 () (= tptp.one @t96))
% 19.02/19.29  (define @t180 () (tptp.meet @t38 @t48))
% 19.02/19.29  (define @t181 () (= tptp.zero @t180))
% 19.02/19.29  (define @t182 () (tptp.meet @t37 tptp.a))
% 19.02/19.29  (define @t183 () (= @t37 (tptp.join @t37 @t182)))
% 19.02/19.29  (define @t184 () (= @t182 (tptp.meet tptp.a @t37)))
% 19.02/19.29  (define @t185 () (= tptp.zero (tptp.meet @t43 @t46)))
% 19.02/19.29  (define @t186 () (= @t37 (tptp.join @t37 @t88)))
% 19.02/19.29  (define @t187 () (= @t46 @t145))
% 19.02/19.29  (define @t188 () (= @t88 (tptp.meet @t38 @t37)))
% 19.02/19.29  (define @t189 () (tptp.join @t46 @t58))
% 19.02/19.29  (define @t190 () (= tptp.one @t189))
% 19.02/19.29  (define @t191 () (= tptp.zero @t146))
% 19.02/19.29  (define @t192 () (= @t38 @t97))
% 19.02/19.29  (define @t193 () (= @t129 (tptp.meet @t38 @t180)))
% 19.02/19.29  (define @t194 () (= @t51 (tptp.meet @t51 @t51)))
% 19.02/19.29  (define @t195 () (tptp.join @t38 tptp.a))
% 19.02/19.29  (define @t196 () (= @t38 (tptp.meet @t38 @t195)))
% 19.02/19.29  (define @t197 () (= @t83 @t195))
% 19.02/19.29  (define @t198 () (= @t123 (tptp.join tptp.b @t83)))
% 19.02/19.29  (define @t199 () (= @t122 (tptp.meet @t43 tptp.b)))
% 19.02/19.29  (define @t200 () (= @t124 @t125))
% 19.02/19.29  (define @t201 () (= @t43 @t126))
% 19.02/19.29  (define @t202 () (= @t120 (tptp.meet @t29 (tptp.meet tptp.b @t56))))
% 19.02/19.29  (define @t203 () (= @t37 (tptp.join @t37 @t154)))
% 19.02/19.29  (define @t204 () (= @t154 @t87))
% 19.02/19.29  (define @t205 () (tptp.join @t46 @t37))
% 19.02/19.29  (define @t206 () (= (tptp.join @t37 @t46) @t205))
% 19.02/19.29  (define @t207 () (= @t46 (tptp.meet @t46 @t189)))
% 19.02/19.29  (define @t208 () (= (tptp.meet @t145 @t58) @t147))
% 19.02/19.29  (define @t209 () (= @t46 (tptp.join @t46 (tptp.meet @t46 @t59))))
% 19.02/19.29  (define @t210 () (= @t150 @t151))
% 19.02/19.29  (define @t211 () (= @t67 @t159))
% 19.02/19.29  (define @t212 () (= (tptp.meet @t118 @t46) @t149))
% 19.02/19.29  (define @t213 () (= @t153 (tptp.meet @t46 (tptp.join @t87 (tptp.meet @t38 (tptp.join @t37 (tptp.meet @t38 @t205)))))))
% 19.02/19.29  (define @t214 () (= @t162 @t163))
% 19.02/19.29  (define @t215 () (tptp.join @t29 @t163))
% 19.02/19.29  (define @t216 () (= @t29 @t215))
% 19.02/19.29  (define @t217 () (= @t29 @t31))
% 19.02/19.29  (define @t218 () (and @t164 @t165 @t167 @t168 @t169 @t170 @t171 @t172 @t173 @t174 @t175 @t176 @t177 @t178 @t179 @t181 @t183 @t184 @t185 @t186 @t187 @t188 @t190 @t191 @t192 @t193 @t194 @t196 @t197 @t198 @t199 @t200 @t201 @t202 @t203 @t204 @t206 @t207 @t208 @t209 @t139 @t210 @t211 @t212 @t213 @t214 @t216 @t65 @t74))
% 19.02/19.29  (assume @p1 @t4)
% 19.02/19.29  (assume @p2 @t6)
% 19.02/19.29  (assume @p3 @t11)
% 19.02/19.29  (assume @p4 @t14)
% 19.02/19.29  (assume @p5 @t15)
% 19.02/19.29  (assume @p6 @t16)
% 19.02/19.29  (assume @p7 (forall @t18 (= (tptp.meet @t12 @t17) (tptp.meet @t1 (tptp.meet @t7 @t17)))))
% 19.02/19.29  (assume @p8 (forall @t18 (= (tptp.join @t8 @t17) (tptp.join @t1 (tptp.join @t7 @t17)))))
% 19.02/19.29  (assume @p9 @t21)
% 19.02/19.29  (assume @p10 @t23)
% 19.02/19.29  (assume @p11 @t27)
% 19.02/19.29  (assume @p12 (forall @t18 (= (tptp.meet @t1 (tptp.join @t12 (tptp.meet @t1 @t17))) (tptp.meet @t1 (tptp.join @t12 (tptp.meet @t17 (tptp.join @t7 (tptp.meet @t17 @t8))))))))
% 19.02/19.29  (assume @p13 (= @t28 tptp.a))
% 19.02/19.29  (assume @p14 (not (= @t31 @t29)))
% 19.02/19.29  (step @p15 :rule symm :premises (@p13))
% 19.02/19.29  (step @p16 :rule symm :premises (@p14))
% 19.02/19.29  (step @p17 :rule eq-symm :args (@t5 @t1))
% 19.02/19.29  (step @p18 :rule cong :premises (@p17) :args (@t6))
% 19.02/19.29  (step @p19 :rule eq_resolve :premises (@p2 @p18))
% 19.02/19.29  (step @p20 :rule instantiate :premises (@p19) :args (@t32))
% 19.02/19.29  (step @p21 :rule eq-symm :args (@t20 tptp.one))
% 19.02/19.29  (step @p22 :rule cong :premises (@p21) :args (@t21))
% 19.02/19.29  (step @p23 :rule eq_resolve :premises (@p9 @p22))
% 19.02/19.29  (step @p24 :rule instantiate :premises (@p23) :args (@t32))
% 19.02/19.29  (step @p25 :rule eq-symm :args (@t13 @t1))
% 19.02/19.29  (step @p26 :rule cong :premises (@p25) :args (@t14))
% 19.02/19.29  (step @p27 :rule eq_resolve :premises (@p4 @p26))
% 19.02/19.29  (step @p28 :rule instantiate :premises (@p27) :args ((@list tptp.b tptp.a)))
% 19.02/19.29  (step @p29 :rule instantiate :premises (@p5) :args (@t33))
% 19.02/19.29  (step @p30 :rule instantiate :premises (@p23) :args (@t34))
% 19.02/19.29  (step @p31 :rule eq-symm :args (@t22 tptp.zero))
% 19.02/19.29  (step @p32 :rule cong :premises (@p31) :args (@t23))
% 19.02/19.29  (step @p33 :rule eq_resolve :premises (@p10 @p32))
% 19.02/19.29  (step @p34 :rule instantiate :premises (@p33) :args (@t34))
% 19.02/19.29  (step @p35 :rule instantiate :premises (@p27) :args (@t33))
% 19.02/19.29  (step @p36 :rule eq-symm :args (@t9 @t1))
% 19.02/19.29  (step @p37 :rule cong :premises (@p36) :args (@t11))
% 19.02/19.29  (step @p38 :rule eq_resolve :premises (@p3 @p37))
% 19.02/19.29  (step @p39 :rule instantiate :premises (@p38) :args (@t35))
% 19.02/19.29  (step @p40 :rule instantiate :premises (@p8) :args (@t36))
% 19.02/19.29  (step @p41 :rule instantiate :premises (@p8) :args ((@list tptp.b tptp.b @t30)))
% 19.02/19.29  (step @p42 :rule instantiate :premises (@p27) :args ((@list @t37 @t37)))
% 19.02/19.29  (step @p43 :rule eq-symm :args (@t2 @t1))
% 19.02/19.29  (step @p44 :rule cong :premises (@p43) :args (@t4))
% 19.02/19.29  (step @p45 :rule eq_resolve :premises (@p1 @p44))
% 19.02/19.29  (step @p46 :rule instantiate :premises (@p45) :args ((@list @t37)))
% 19.02/19.29  (step @p47 :rule instantiate :premises (@p45) :args (@t39))
% 19.02/19.29  (step @p48 :rule instantiate :premises (@p23) :args (@t39))
% 19.02/19.29  (step @p49 :rule instantiate :premises (@p33) :args (@t39))
% 19.02/19.29  (step @p50 :rule instantiate :premises (@p27) :args (@t40))
% 19.02/19.29  (step @p51 :rule instantiate :premises (@p5) :args (@t40))
% 19.02/19.29  (step @p52 :rule instantiate :premises (@p33) :args (@t44))
% 19.02/19.29  (step @p53 :rule instantiate :premises (@p27) :args (@t45))
% 19.02/19.29  (step @p54 :rule instantiate :premises (@p45) :args (@t47))
% 19.02/19.29  (step @p55 :rule instantiate :premises (@p5) :args (@t45))
% 19.02/19.29  (step @p56 :rule instantiate :premises (@p23) :args (@t47))
% 19.02/19.29  (step @p57 :rule instantiate :premises (@p33) :args (@t47))
% 19.02/19.29  (step @p58 :rule instantiate :premises (@p38) :args ((@list @t38 @t48)))
% 19.02/19.29  (step @p59 :rule instantiate :premises (@p7) :args ((@list @t38 @t38 @t48)))
% 19.02/19.29  (step @p60 :rule instantiate :premises (@p45) :args ((@list @t51)))
% 19.02/19.29  (step @p61 :rule instantiate :premises (@p38) :args ((@list @t38 tptp.a)))
% 19.02/19.29  (step @p62 :rule instantiate :premises (@p6) :args (@t52))
% 19.02/19.29  (step @p63 :rule instantiate :premises (@p8) :args ((@list tptp.b tptp.a @t38)))
% 19.02/19.29  (step @p64 :rule instantiate :premises (@p5) :args (@t53))
% 19.02/19.29  (step @p65 :rule instantiate :premises (@p6) :args (@t53))
% 19.02/19.29  (step @p66 :rule instantiate :premises (@p38) :args ((@list @t43 tptp.b)))
% 19.02/19.29  (step @p67 :rule instantiate :premises (@p7) :args ((@list @t29 tptp.b @t56)))
% 19.02/19.29  (step @p68 :rule instantiate :premises (@p27) :args (@t57))
% 19.02/19.29  (step @p69 :rule instantiate :premises (@p5) :args (@t57))
% 19.02/19.29  (step @p70 :rule instantiate :premises (@p6) :args (@t57))
% 19.02/19.29  (step @p71 :rule instantiate :premises (@p38) :args ((@list @t46 @t58)))
% 19.02/19.29  (step @p72 :rule instantiate :premises (@p7) :args ((@list @t46 @t46 @t58)))
% 19.02/19.29  (step @p73 :rule instantiate :premises (@p27) :args ((@list @t46 @t59)))
% 19.02/19.29  (step @p74 :rule instantiate :premises (@p5) :args (@t60))
% 19.02/19.29  (step @p75 :rule instantiate :premises (@p6) :args (@t60))
% 19.02/19.29  (step @p76 :rule instantiate :premises (@p7) :args ((@list @t38 @t56 @t46)))
% 19.02/19.29  (step @p77 :rule instantiate :premises (@p12) :args ((@list @t46 @t37 @t38)))
% 19.02/19.29  (step @p78 :rule instantiate :premises (@p5) :args (@t61))
% 19.02/19.29  (step @p79 :rule instantiate :premises (@p27) :args ((@list @t29 @t46)))
% 19.02/19.29  (step @p80 :rule eq-symm :args (@t62 @t31))
% 19.02/19.29  (step @p81 :rule refl :args (@t16))
% 19.02/19.29  (step @p82 :rule cong :premises (@p81 @p80) :args ((=> @t16 @t63)))
% 19.02/19.29  (assume-push @p529 @t16)
% 19.02/19.29  (step @p84 :rule instantiate :premises (@p6) :args (@t64))
% 19.02/19.29  (step-pop @p530 :rule scope :premises (@p84))
% 19.02/19.29  (step @p85 :rule process_scope :premises (@p530) :args (@t63))
% 19.02/19.29  (step @p87 :rule eq_resolve :premises (@p85 @p82))
% 19.02/19.29  (step @p88 :rule implies_elim :premises (@p87))
% 19.02/19.29  (step @p89 :rule chain_m_resolution :premises (@p88 @p6) :args (@t65 @t66 (@list @t16)))
% 19.02/19.29  (step @p90 :rule eq-symm :args (@t19 @t7))
% 19.02/19.29  (step @p91 :rule refl :args (@t24))
% 19.02/19.29  (step @p92 :rule refl :args (@t25))
% 19.02/19.29  (step @p93 :rule nary_cong :premises (@p92 @p91 @p90) :args (@t26))
% 19.02/19.29  (step @p94 :rule cong :premises (@p93) :args (@t27))
% 19.02/19.29  (step @p95 :rule eq_resolve :premises (@p11 @p94))
% 19.02/19.29  (step @p96 :rule eq-symm :args (@t67 @t29))
% 19.02/19.29  (step @p97 :rule eq-symm :args (@t68 tptp.one))
% 19.02/19.29  (step @p98 :rule cong :premises (@p97) :args (@t69))
% 19.02/19.29  (step @p99 :rule eq-symm :args (@t70 tptp.zero))
% 19.02/19.29  (step @p100 :rule cong :premises (@p99) :args (@t71))
% 19.02/19.29  (step @p101 :rule nary_cong :premises (@p100 @p98 @p96) :args (@t72))
% 19.02/19.29  (step @p102 :rule refl :args (@t73))
% 19.02/19.29  (step @p103 :rule cong :premises (@p102 @p101) :args ((=> @t73 @t72)))
% 19.02/19.29  (assume-push @p531 @t73)
% 19.02/19.29  (step @p105 :rule instantiate :premises (@p95) :args ((@list tptp.a @t67)))
% 19.02/19.29  (step-pop @p532 :rule scope :premises (@p105))
% 19.02/19.29  (step @p106 :rule process_scope :premises (@p532) :args (@t72))
% 19.02/19.29  (step @p108 :rule eq_resolve :premises (@p106 @p103))
% 19.02/19.29  (step @p109 :rule implies_elim :premises (@p108))
% 19.02/19.29  (step @p110 :rule chain_m_resolution :premises (@p109 @p95) :args (@t79 @t66 @t80))
% 19.02/19.29  (step @p111 :rule instantiate :premises (@p8) :args ((@list tptp.a @t38 @t46)))
% 19.02/19.29  (step @p112 :rule refl :args (@t46))
% 19.02/19.29  (step @p113 :rule symm :premises (@p29))
% 19.02/19.29  (step @p114 :rule symm :premises (@p20))
% 19.02/19.29  (step @p115 :rule refl :args (@t29))
% 19.02/19.29  (step @p116 :rule cong :premises (@p115 @p114) :args (@t82))
% 19.02/19.29  (step @p117 :rule symm :premises (@p28))
% 19.02/19.29  (step @p118 :rule refl :args (tptp.b))
% 19.02/19.29  (step @p119 :rule cong :premises (@p118 @p15) :args (@t41))
% 19.02/19.29  (step @p120 :rule trans :premises (@p119 @p117 @p20))
% 19.02/19.29  (step @p121 :rule cong :premises (@p115 @p120) :args (@t42))
% 19.02/19.29  (step @p122 :rule trans :premises (@p121 @p116 @p113))
% 19.02/19.29  (step @p123 :rule refl :args (tptp.a))
% 19.02/19.29  (step @p124 :rule cong :premises (@p123 @p122) :args (@t43))
% 19.02/19.29  (step @p125 :rule cong :premises (@p124 @p112) :args ((tptp.join @t43 @t46)))
% 19.02/19.29  (step @p126 :rule instantiate :premises (@p23) :args (@t44))
% 19.02/19.29  (step @p127 :rule trans :premises (@p126 @p125 @p111))
% 19.02/19.29  (step @p128 :rule refl :args (@t67))
% 19.02/19.29  (step @p129 :rule instantiate :premises (@p38) :args (@t52))
% 19.02/19.29  (step @p130 :rule symm :premises (@p129))
% 19.02/19.29  (step @p131 :rule cong :premises (@p130 @p128) :args ((tptp.meet (tptp.meet tptp.a @t83) @t67)))
% 19.02/19.29  (step @p132 :rule instantiate :premises (@p7) :args ((@list tptp.a @t83 @t67)))
% 19.02/19.29  (step @p133 :rule symm :premises (@p132))
% 19.02/19.29  (step @p134 :rule cong :premises (@p124 @p128) :args ((tptp.meet @t43 @t67)))
% 19.02/19.29  (step @p135 :rule instantiate :premises (@p38) :args (@t61))
% 19.02/19.29  (step @p136 :rule symm :premises (@p135))
% 19.02/19.29  (step @p137 :rule instantiate :premises (@p6) :args (@t61))
% 19.02/19.29  (step @p138 :rule symm :premises (@p137))
% 19.02/19.29  (step @p139 :rule symm :premises (@p71))
% 19.02/19.29  (step @p140 :rule symm :premises (@p24))
% 19.02/19.29  (step @p141 :rule refl :args (@t30))
% 19.02/19.29  (step @p142 :rule cong :premises (@p114 @p141) :args (@t84))
% 19.02/19.29  (step @p143 :rule symm :premises (@p41))
% 19.02/19.29  (step @p144 :rule symm :premises (@p30))
% 19.02/19.29  (step @p145 :rule trans :premises (@p144 @p24))
% 19.02/19.29  (step @p146 :rule cong :premises (@p118 @p145) :args (@t86))
% 19.02/19.29  (step @p147 :rule symm :premises (@p119))
% 19.02/19.29  (step @p148 :rule trans :premises (@p28 @p147))
% 19.02/19.29  (step @p149 :rule cong :premises (@p148 @p115) :args (@t37))
% 19.02/19.29  (step @p150 :rule trans :premises (@p149 @p40 @p146 @p143 @p142 @p140 @p56))
% 19.02/19.29  (step @p151 :rule cong :premises (@p112 @p150) :args (@t87))
% 19.02/19.29  (step @p152 :rule symm :premises (@p53))
% 19.02/19.29  (step @p153 :rule refl :args (@t88))
% 19.02/19.29  (step @p154 :rule symm :premises (@p46))
% 19.02/19.29  (step @p155 :rule cong :premises (@p154 @p153) :args (@t90))
% 19.02/19.29  (step @p156 :rule symm :premises (@p55))
% 19.02/19.29  (step @p157 :rule symm :premises (@p42))
% 19.02/19.29  (step @p158 :rule refl :args (@t37))
% 19.02/19.29  (step @p159 :rule cong :premises (@p158 @p46) :args (@t91))
% 19.02/19.29  (step @p160 :rule trans :premises (@p159 @p157))
% 19.02/19.29  (step @p161 :rule refl :args (@t38))
% 19.02/19.29  (step @p162 :rule cong :premises (@p161 @p160) :args (@t92))
% 19.02/19.29  (step @p163 :rule symm :premises (@p159))
% 19.02/19.29  (step @p164 :rule trans :premises (@p162 @p156))
% 19.02/19.29  (step @p165 :rule cong :premises (@p46 @p164) :args (@t93))
% 19.02/19.29  (step @p166 :rule trans :premises (@p165 @p155 @p152 @p42 @p163))
% 19.02/19.29  (step @p167 :rule cong :premises (@p161 @p166) :args (@t94))
% 19.02/19.29  (step @p168 :rule trans :premises (@p167 @p162 @p156))
% 19.02/19.29  (step @p169 :rule refl :args (@t89))
% 19.02/19.29  (step @p170 :rule cong :premises (@p169 @p168) :args (@t95))
% 19.02/19.29  (step @p171 :rule symm :premises (@p167))
% 19.02/19.29  (step @p172 :rule symm :premises (@p149))
% 19.02/19.29  (step @p173 :rule symm :premises (@p40))
% 19.02/19.29  (step @p174 :rule symm :premises (@p146))
% 19.02/19.29  (step @p175 :rule symm :premises (@p142))
% 19.02/19.29  (step @p176 :rule symm :premises (@p48))
% 19.02/19.29  (step @p177 :rule trans :premises (@p176 @p24 @p175 @p41 @p174 @p173 @p172 @p42 @p163))
% 19.02/19.29  (step @p178 :rule cong :premises (@p161 @p177) :args (@t97))
% 19.02/19.29  (step @p179 :rule trans :premises (@p58 @p178 @p171))
% 19.02/19.29  (step @p180 :rule cong :premises (@p46 @p179) :args (@t98))
% 19.02/19.29  (step @p181 :rule symm :premises (@p58))
% 19.02/19.29  (step @p182 :rule symm :premises (@p178))
% 19.02/19.29  (step @p183 :rule trans :premises (@p182 @p181))
% 19.02/19.29  (step @p184 :rule instantiate :premises (@p23) :args ((@list @t29)))
% 19.02/19.29  (step @p185 :rule symm :premises (@p184))
% 19.02/19.29  (step @p186 :rule trans :premises (@p185 @p24 @p175 @p41 @p174 @p173 @p172))
% 19.02/19.29  (step @p187 :rule cong :premises (@p186 @p183) :args ((tptp.join (tptp.join @t29 @t99) @t92)))
% 19.02/19.29  (step @p188 :rule instantiate :premises (@p8) :args ((@list @t29 @t99 @t92)))
% 19.02/19.29  (step @p189 :rule symm :premises (@p188))
% 19.02/19.29  (step @p190 :rule trans :premises (@p121 @p116 @p113 @p58 @p178))
% 19.02/19.29  (step @p191 :rule refl :args (@t100))
% 19.02/19.29  (step @p192 :rule eq-symm :args (@t101 tptp.one))
% 19.02/19.29  (step @p193 :rule cong :premises (@p192) :args (@t102))
% 19.02/19.29  (step @p194 :rule eq-symm :args (@t103 tptp.zero))
% 19.02/19.29  (step @p195 :rule cong :premises (@p194) :args (@t104))
% 19.02/19.29  (step @p196 :rule nary_cong :premises (@p195 @p193 @p191) :args (@t105))
% 19.02/19.29  (step @p197 :rule cong :premises (@p102 @p196) :args ((=> @t73 @t105)))
% 19.02/19.29  (assume-push @p533 @t73)
% 19.02/19.29  (step @p199 :rule instantiate :premises (@p95) :args ((@list @t29 tptp.a)))
% 19.02/19.29  (step-pop @p534 :rule scope :premises (@p199))
% 19.02/19.29  (step @p200 :rule process_scope :premises (@p534) :args (@t105))
% 19.02/19.29  (step @p202 :rule eq_resolve :premises (@p200 @p197))
% 19.02/19.29  (step @p203 :rule implies_elim :premises (@p202))
% 19.02/19.29  (step @p204 :rule chain_m_resolution :premises (@p203 @p95) :args (@t110 @t66 @t80))
% 19.02/19.29  (step @p205 :rule instantiate :premises (@p6) :args (@t35))
% 19.02/19.29  (step @p206 :rule trans :premises (@p30 @p205))
% 19.02/19.29  (step @p207 :rule instantiate :premises (@p5) :args (@t35))
% 19.02/19.29  (step @p208 :rule trans :premises (@p34 @p207))
% 19.02/19.29  (step @p209 :rule cnf_or_pos :args (@t110))
% 19.02/19.29  (step @p210 :rule reordering :premises (@p209) :args ((or @t100 @t109 @t107 (not @t110))))
% 19.02/19.29  (step @p211 :rule chain_m_resolution :premises (@p210 @p208 @p206 @p204) :args (@t100 @t111 (@list @t108 @t106 @t110)))
% 19.02/19.29  (step @p212 :rule cong :premises (@p211 @p190) :args (@t43))
% 19.02/19.29  (step @p213 :rule cong :premises (@p115 @p212) :args ((tptp.join @t29 @t43)))
% 19.02/19.29  (step @p214 :rule instantiate :premises (@p6) :args (@t112))
% 19.02/19.29  (step @p215 :rule trans :premises (@p214 @p213 @p189 @p187 @p180 @p170 @p155 @p152))
% 19.02/19.29  (step @p216 :rule cong :premises (@p112 @p215) :args (@t113))
% 19.02/19.29  (step @p217 :rule trans :premises (@p216 @p151 @p139))
% 19.02/19.29  (step @p218 :rule cong :premises (@p115 @p217) :args (@t114))
% 19.02/19.29  (step @p219 :rule trans :premises (@p218 @p138))
% 19.02/19.29  (step @p220 :rule cong :premises (@p112 @p219) :args (@t115))
% 19.02/19.29  (step @p221 :rule trans :premises (@p220 @p136))
% 19.02/19.29  (step @p222 :rule symm :premises (@p61))
% 19.02/19.29  (step @p223 :rule symm :premises (@p121))
% 19.02/19.29  (step @p224 :rule symm :premises (@p116))
% 19.02/19.29  (step @p225 :rule symm :premises (@p50))
% 19.02/19.29  (step @p226 :rule symm :premises (@p51))
% 19.02/19.29  (step @p227 :rule trans :premises (@p144 @p24 @p175 @p41 @p174 @p173 @p172))
% 19.02/19.29  (step @p228 :rule cong :premises (@p123 @p227) :args (@t116))
% 19.02/19.29  (step @p229 :rule trans :premises (@p159 @p157 @p149 @p40 @p146 @p143 @p142 @p140 @p30))
% 19.02/19.29  (step @p230 :rule cong :premises (@p123 @p229) :args (@t117))
% 19.02/19.29  (step @p231 :rule trans :premises (@p230 @p228 @p226))
% 19.02/19.29  (step @p232 :rule cong :premises (@p158 @p231) :args ((tptp.join @t37 @t117)))
% 19.02/19.29  (step @p233 :rule symm :premises (@p230))
% 19.02/19.29  (step @p234 :rule trans :premises (@p39 @p233))
% 19.02/19.29  (step @p235 :rule cong :premises (@p158 @p234) :args (@t54))
% 19.02/19.29  (step @p236 :rule trans :premises (@p235 @p232 @p225 @p42 @p163))
% 19.02/19.29  (step @p237 :rule cong :premises (@p161 @p236) :args (@t55))
% 19.02/19.29  (step @p238 :rule trans :premises (@p237 @p182 @p181 @p29 @p224 @p223))
% 19.02/19.29  (step @p239 :rule cong :premises (@p123 @p238) :args (@t56))
% 19.02/19.29  (step @p240 :rule trans :premises (@p239 @p124 @p62))
% 19.02/19.29  (step @p241 :rule cong :premises (@p161 @p240) :args (@t118))
% 19.02/19.29  (step @p242 :rule refl :args (@t56))
% 19.02/19.29  (step @p243 :rule cong :premises (@p113 @p242) :args (@t120))
% 19.02/19.29  (step @p244 :rule symm :premises (@p67))
% 19.02/19.29  (step @p245 :rule symm :premises (@p239))
% 19.02/19.29  (step @p246 :rule symm :premises (@p122))
% 19.02/19.29  (step @p247 :rule cong :premises (@p13 @p246) :args (@t121))
% 19.02/19.29  (step @p248 :rule trans :premises (@p247 @p245))
% 19.02/19.29  (step @p249 :rule cong :premises (@p118 @p248) :args ((tptp.meet tptp.b @t121)))
% 19.02/19.29  (step @p250 :rule symm :premises (@p247))
% 19.02/19.29  (step @p251 :rule cong :premises (@p118 @p250) :args (@t122))
% 19.02/19.29  (step @p252 :rule symm :premises (@p64))
% 19.02/19.29  (step @p253 :rule symm :premises (@p35))
% 19.02/19.29  (step @p254 :rule trans :premises (@p116 @p113))
% 19.02/19.29  (step @p255 :rule cong :premises (@p118 @p254) :args ((tptp.join tptp.b @t82)))
% 19.02/19.29  (step @p256 :rule symm :premises (@p254))
% 19.02/19.29  (step @p257 :rule symm :premises (@p148))
% 19.02/19.29  (step @p258 :rule cong :premises (@p257 @p256) :args (@t123))
% 19.02/19.29  (step @p259 :rule symm :premises (@p63))
% 19.02/19.29  (step @p260 :rule cong :premises (@p118 @p124) :args (@t124))
% 19.02/19.29  (step @p261 :rule symm :premises (@p65))
% 19.02/19.29  (step @p262 :rule trans :premises (@p261 @p260 @p259 @p258 @p255 @p253))
% 19.02/19.29  (step @p263 :rule refl :args (@t43))
% 19.02/19.29  (step @p264 :rule cong :premises (@p263 @p262) :args (@t126))
% 19.02/19.29  (step @p265 :rule trans :premises (@p66 @p264 @p252 @p251 @p249))
% 19.02/19.29  (step @p266 :rule cong :premises (@p115 @p265) :args (@t49))
% 19.02/19.29  (step @p267 :rule instantiate :premises (@p5) :args (@t112))
% 19.02/19.29  (step @p268 :rule trans :premises (@p267 @p266 @p244 @p243 @p241 @p222))
% 19.02/19.29  (step @p269 :rule cong :premises (@p268 @p221) :args (@t127))
% 19.02/19.29  (step @p270 :rule cong :premises (@p263 @p269) :args ((tptp.meet @t43 @t127)))
% 19.02/19.29  (step @p271 :rule instantiate :premises (@p12) :args ((@list @t43 @t29 @t46)))
% 19.02/19.29  (step @p272 :rule symm :premises (@p34))
% 19.02/19.29  (step @p273 :rule trans :premises (@p272 @p52))
% 19.02/19.29  (step @p274 :rule symm :premises (@p268))
% 19.02/19.29  (step @p275 :rule cong :premises (@p274 @p273) :args ((tptp.join @t38 @t59)))
% 19.02/19.29  (step @p276 :rule symm :premises (@p49))
% 19.02/19.29  (step @p277 :rule refl :args (@t48))
% 19.02/19.29  (step @p278 :rule symm :premises (@p47))
% 19.02/19.29  (step @p279 :rule cong :premises (@p278 @p277) :args (@t129))
% 19.02/19.29  (step @p280 :rule symm :premises (@p59))
% 19.02/19.29  (step @p281 :rule trans :premises (@p272 @p49))
% 19.02/19.29  (step @p282 :rule cong :premises (@p161 @p281) :args (@t130))
% 19.02/19.29  (step @p283 :rule trans :premises (@p282 @p280 @p279 @p276 @p34))
% 19.02/19.29  (step @p284 :rule cong :premises (@p161 @p283) :args ((tptp.join @t38 @t130)))
% 19.02/19.29  (step @p285 :rule instantiate :premises (@p27) :args ((@list @t38 @t59)))
% 19.02/19.29  (step @p286 :rule trans :premises (@p285 @p284 @p275))
% 19.02/19.29  (step @p287 :rule cong :premises (@p263 @p286) :args ((tptp.meet @t43 @t38)))
% 19.02/19.29  (step @p288 :rule instantiate :premises (@p5) :args ((@list @t38 @t43)))
% 19.02/19.29  (step @p289 :rule cong :premises (@p161 @p239) :args (@t118))
% 19.02/19.29  (step @p290 :rule symm :premises (@p241))
% 19.02/19.29  (step @p291 :rule trans :premises (@p61 @p290 @p289 @p288 @p287 @p271 @p270 @p134))
% 19.02/19.29  (step @p292 :rule cong :premises (@p123 @p291) :args ((tptp.meet tptp.a @t38)))
% 19.02/19.29  (step @p293 :rule cong :premises (@p123 @p113) :args ((tptp.meet tptp.a @t119)))
% 19.02/19.29  (step @p294 :rule instantiate :premises (@p7) :args ((@list tptp.a @t29 tptp.b)))
% 19.02/19.29  (step @p295 :rule eq-symm :args (@t131 @t132))
% 19.02/19.29  (step @p296 :rule refl :args (@t15))
% 19.02/19.29  (step @p297 :rule cong :premises (@p296 @p295) :args ((=> @t15 @t133)))
% 19.02/19.29  (assume-push @p535 @t15)
% 19.02/19.29  (step @p299 :rule instantiate :premises (@p5) :args ((@list @t59 tptp.b)))
% 19.02/19.29  (step-pop @p536 :rule scope :premises (@p299))
% 19.02/19.29  (step @p300 :rule process_scope :premises (@p536) :args (@t133))
% 19.02/19.29  (step @p302 :rule eq_resolve :premises (@p300 @p297))
% 19.02/19.29  (step @p303 :rule implies_elim :premises (@p302))
% 19.02/19.29  (step @p304 :rule chain_m_resolution :premises (@p303 @p5) :args ((= @t132 @t131) @t66 (@list @t15)))
% 19.02/19.29  (step @p305 :rule instantiate :premises (@p7) :args (@t36))
% 19.02/19.29  (step @p306 :rule cong :premises (@p15 @p115) :args (@t59))
% 19.02/19.29  (step @p307 :rule trans :premises (@p34 @p306 @p305 @p304 @p294 @p293 @p292 @p133 @p131))
% 19.02/19.29  (step @p308 :rule cnf_or_pos :args (@t79))
% 19.02/19.29  (step @p309 :rule reordering :premises (@p308) :args ((or @t78 @t76 @t74 (not @t79))))
% 19.02/19.29  (step @p310 :rule chain_m_resolution :premises (@p309 @p307 @p127 @p110) :args (@t74 @t111 (@list @t77 @t75 @t79)))
% 19.02/19.29  (step @p311 :rule eq-symm :args (@t46 @t30))
% 19.02/19.29  (step @p312 :rule eq-symm :args (@t134 tptp.one))
% 19.02/19.29  (step @p313 :rule cong :premises (@p312) :args (@t135))
% 19.02/19.29  (step @p314 :rule eq-symm :args (@t136 tptp.zero))
% 19.02/19.29  (step @p315 :rule cong :premises (@p314) :args (@t137))
% 19.02/19.29  (step @p316 :rule nary_cong :premises (@p315 @p313 @p311) :args (@t138))
% 19.02/19.29  (step @p317 :rule cong :premises (@p102 @p316) :args ((=> @t73 @t138)))
% 19.02/19.29  (assume-push @p537 @t73)
% 19.02/19.29  (step @p319 :rule instantiate :premises (@p95) :args ((@list tptp.b @t46)))
% 19.02/19.29  (step-pop @p538 :rule scope :premises (@p319))
% 19.02/19.29  (step @p320 :rule process_scope :premises (@p538) :args (@t138))
% 19.02/19.29  (step @p322 :rule eq_resolve :premises (@p320 @p317))
% 19.02/19.29  (step @p323 :rule implies_elim :premises (@p322))
% 19.02/19.29  (step @p324 :rule chain_m_resolution :premises (@p323 @p95) :args (@t144 @t66 @t80))
% 19.02/19.29  (step @p325 :rule trans :premises (@p260 @p259 @p258 @p255 @p253))
% 19.02/19.29  (step @p326 :rule cong :premises (@p325 @p112) :args ((tptp.join @t124 @t46)))
% 19.02/19.29  (step @p327 :rule instantiate :premises (@p8) :args ((@list tptp.b @t43 @t46)))
% 19.02/19.29  (step @p328 :rule symm :premises (@p327))
% 19.02/19.29  (step @p329 :rule trans :premises (@p144 @p126))
% 19.02/19.29  (step @p330 :rule cong :premises (@p118 @p329) :args (@t86))
% 19.02/19.29  (step @p331 :rule trans :premises (@p24 @p175 @p41 @p174 @p330 @p328 @p326))
% 19.02/19.29  (step @p332 :rule symm :premises (@p54))
% 19.02/19.29  (step @p333 :rule cong :premises (@p118 @p332) :args ((tptp.meet tptp.b @t145)))
% 19.02/19.29  (step @p334 :rule instantiate :premises (@p7) :args ((@list tptp.b @t46 @t46)))
% 19.02/19.29  (step @p335 :rule trans :premises (@p266 @p244 @p243 @p241 @p222 @p29 @p224 @p223))
% 19.02/19.29  (step @p336 :rule cong :premises (@p13 @p335) :args (@t50))
% 19.02/19.29  (step @p337 :rule cong :premises (@p336) :args (@t51))
% 19.02/19.29  (step @p338 :rule symm :premises (@p60))
% 19.02/19.29  (step @p339 :rule symm :premises (@p337))
% 19.02/19.29  (step @p340 :rule symm :premises (@p73))
% 19.02/19.29  (step @p341 :rule symm :premises (@p57))
% 19.02/19.29  (step @p342 :rule trans :premises (@p341 @p34))
% 19.02/19.29  (step @p343 :rule cong :premises (@p112 @p342) :args (@t147))
% 19.02/19.29  (step @p344 :rule refl :args (@t58))
% 19.02/19.29  (step @p345 :rule cong :premises (@p54 @p344) :args (@t146))
% 19.02/19.29  (step @p346 :rule trans :premises (@p272 @p57 @p345 @p72 @p343))
% 19.02/19.29  (step @p347 :rule cong :premises (@p112 @p346) :args ((tptp.join @t46 @t59)))
% 19.02/19.29  (step @p348 :rule symm :premises (@p52))
% 19.02/19.29  (step @p349 :rule cong :premises (@p239 @p112) :args (@t148))
% 19.02/19.29  (step @p350 :rule trans :premises (@p349 @p348 @p34))
% 19.02/19.29  (step @p351 :rule cong :premises (@p161 @p350) :args (@t149))
% 19.02/19.29  (step @p352 :rule trans :premises (@p61 @p290))
% 19.02/19.29  (step @p353 :rule cong :premises (@p352 @p112) :args (@t150))
% 19.02/19.29  (step @p354 :rule symm :premises (@p74))
% 19.02/19.29  (step @p355 :rule trans :premises (@p354 @p353 @p76 @p351 @p282 @p280 @p279 @p276 @p34))
% 19.02/19.29  (step @p356 :rule trans :premises (@p151 @p139))
% 19.02/19.29  (step @p357 :rule cong :premises (@p356 @p355) :args (@t152))
% 19.02/19.29  (step @p358 :rule trans :premises (@p357 @p347 @p340 @p339))
% 19.02/19.29  (step @p359 :rule cong :premises (@p339 @p358) :args (@t153))
% 19.02/19.29  (step @p360 :rule symm :premises (@p77))
% 19.02/19.29  (step @p361 :rule symm :premises (@p68))
% 19.02/19.29  (step @p362 :rule refl :args (@t154))
% 19.02/19.29  (step @p363 :rule cong :premises (@p154 @p362) :args (@t155))
% 19.02/19.29  (step @p364 :rule symm :premises (@p69))
% 19.02/19.29  (step @p365 :rule cong :premises (@p112 @p160) :args (@t156))
% 19.02/19.29  (step @p366 :rule trans :premises (@p365 @p364))
% 19.02/19.29  (step @p367 :rule cong :premises (@p46 @p366) :args (@t157))
% 19.02/19.29  (step @p368 :rule trans :premises (@p367 @p363 @p361))
% 19.02/19.29  (step @p369 :rule cong :premises (@p112 @p368) :args (@t158))
% 19.02/19.29  (step @p370 :rule trans :premises (@p369 @p151 @p139))
% 19.02/19.29  (step @p371 :rule cong :premises (@p154 @p370) :args ((tptp.join @t89 @t158)))
% 19.02/19.29  (step @p372 :rule symm :premises (@p369))
% 19.02/19.29  (step @p373 :rule trans :premises (@p69 @p372))
% 19.02/19.29  (step @p374 :rule cong :premises (@p169 @p373) :args (@t155))
% 19.02/19.29  (step @p375 :rule symm :premises (@p363))
% 19.02/19.29  (step @p376 :rule trans :premises (@p159 @p157 @p68 @p375 @p374 @p371 @p70))
% 19.02/19.29  (step @p377 :rule cong :premises (@p161 @p376) :args (@t92))
% 19.02/19.29  (step @p378 :rule trans :premises (@p58 @p178 @p377))
% 19.02/19.29  (step @p379 :rule cong :premises (@p158 @p378) :args (@t98))
% 19.02/19.29  (step @p380 :rule trans :premises (@p167 @p182 @p181))
% 19.02/19.29  (step @p381 :rule cong :premises (@p154 @p380) :args (@t95))
% 19.02/19.29  (step @p382 :rule symm :premises (@p162))
% 19.02/19.29  (step @p383 :rule trans :premises (@p55 @p382 @p171))
% 19.02/19.29  (step @p384 :rule cong :premises (@p169 @p383) :args (@t90))
% 19.02/19.29  (step @p385 :rule symm :premises (@p155))
% 19.02/19.29  (step @p386 :rule trans :premises (@p159 @p157 @p53 @p385 @p384 @p381 @p379))
% 19.02/19.29  (step @p387 :rule cong :premises (@p161 @p386) :args (@t92))
% 19.02/19.29  (step @p388 :rule trans :premises (@p58 @p178 @p387))
% 19.02/19.29  (step @p389 :rule symm :premises (@p356))
% 19.02/19.29  (step @p390 :rule cong :premises (@p389 @p388) :args (@t159))
% 19.02/19.29  (step @p391 :rule trans :premises (@p180 @p170 @p155 @p152))
% 19.02/19.29  (step @p392 :rule cong :premises (@p112 @p391) :args (@t160))
% 19.02/19.29  (step @p393 :rule trans :premises (@p392 @p151 @p139))
% 19.02/19.29  (step @p394 :rule cong :premises (@p161 @p393) :args (@t161))
% 19.02/19.29  (step @p395 :rule trans :premises (@p394 @p75 @p390))
% 19.02/19.29  (step @p396 :rule cong :premises (@p112 @p395) :args ((tptp.meet @t46 @t161)))
% 19.02/19.29  (step @p397 :rule symm :premises (@p394))
% 19.02/19.29  (step @p398 :rule trans :premises (@p310 @p397))
% 19.02/19.29  (step @p399 :rule cong :premises (@p112 @p398) :args (@t162))
% 19.02/19.29  (step @p400 :rule symm :premises (@p78))
% 19.02/19.29  (step @p401 :rule trans :premises (@p400 @p399 @p396 @p360 @p359 @p338 @p337))
% 19.02/19.29  (step @p402 :rule refl :args (@t136))
% 19.02/19.29  (step @p403 :rule cong :premises (@p402 @p401) :args ((tptp.meet @t136 @t163)))
% 19.02/19.29  (step @p404 :rule instantiate :premises (@p7) :args ((@list @t136 @t29 @t46)))
% 19.02/19.29  (step @p405 :rule instantiate :premises (@p5) :args ((@list @t29 @t136)))
% 19.02/19.29  (step @p406 :rule instantiate :premises (@p7) :args ((@list @t29 tptp.b @t46)))
% 19.02/19.29  (step @p407 :rule cong :premises (@p29 @p112) :args (@t150))
% 19.02/19.29  (step @p408 :rule symm :premises (@p353))
% 19.02/19.29  (step @p409 :rule symm :premises (@p76))
% 19.02/19.29  (step @p410 :rule symm :premises (@p351))
% 19.02/19.29  (step @p411 :rule symm :premises (@p282))
% 19.02/19.29  (step @p412 :rule symm :premises (@p279))
% 19.02/19.29  (step @p413 :rule trans :premises (@p272 @p49 @p412 @p59 @p411 @p410 @p409 @p408 @p407 @p406 @p405))
% 19.02/19.29  (step @p414 :rule cong :premises (@p413 @p112) :args ((tptp.meet @t59 @t46)))
% 19.02/19.29  (step @p415 :rule instantiate :premises (@p5) :args ((@list @t59 @t46)))
% 19.02/19.29  (step @p416 :rule symm :premises (@p415))
% 19.02/19.29  (step @p417 :rule trans :premises (@p57 @p345 @p72 @p343 @p416 @p414 @p404 @p403 @p334 @p333))
% 19.02/19.29  (step @p418 :rule cnf_or_pos :args (@t144))
% 19.02/19.29  (step @p419 :rule reordering :premises (@p418) :args ((or @t143 @t141 @t139 (not @t144))))
% 19.02/19.29  (step @p420 :rule chain_m_resolution :premises (@p419 @p417 @p331 @p324) :args (@t139 @t111 (@list @t142 @t140 @t144)))
% 19.02/19.29  (assume-push @p539 @t164)
% 19.02/19.29  (assume-push @p540 @t165)
% 19.02/19.29  (assume-push @p541 @t167)
% 19.02/19.29  (assume-push @p542 @t168)
% 19.02/19.29  (assume-push @p543 @t169)
% 19.02/19.29  (assume-push @p544 @t170)
% 19.02/19.29  (assume-push @p545 @t171)
% 19.02/19.29  (assume-push @p546 @t172)
% 19.02/19.29  (assume-push @p547 @t173)
% 19.02/19.29  (assume-push @p548 @t174)
% 19.02/19.29  (assume-push @p549 @t175)
% 19.02/19.29  (assume-push @p550 @t176)
% 19.02/19.29  (assume-push @p551 @t177)
% 19.02/19.29  (assume-push @p552 @t178)
% 19.02/19.29  (assume-push @p553 @t179)
% 19.02/19.29  (assume-push @p554 @t181)
% 19.02/19.29  (assume-push @p555 @t183)
% 19.02/19.29  (assume-push @p556 @t184)
% 19.02/19.29  (assume-push @p557 @t185)
% 19.02/19.29  (assume-push @p558 @t186)
% 19.02/19.29  (assume-push @p559 @t187)
% 19.02/19.29  (assume-push @p560 @t188)
% 19.02/19.29  (assume-push @p561 @t190)
% 19.02/19.29  (assume-push @p562 @t191)
% 19.02/19.29  (assume-push @p563 @t192)
% 19.02/19.29  (assume-push @p564 @t193)
% 19.02/19.29  (assume-push @p565 @t194)
% 19.02/19.29  (assume-push @p566 @t196)
% 19.02/19.29  (assume-push @p567 @t197)
% 19.02/19.29  (assume-push @p568 @t198)
% 19.02/19.29  (assume-push @p569 @t199)
% 19.02/19.29  (assume-push @p570 @t200)
% 19.02/19.29  (assume-push @p571 @t201)
% 19.02/19.29  (assume-push @p572 @t202)
% 19.02/19.29  (assume-push @p573 @t203)
% 19.02/19.29  (assume-push @p574 @t204)
% 19.02/19.29  (assume-push @p575 @t206)
% 19.02/19.29  (assume-push @p576 @t207)
% 19.02/19.29  (assume-push @p577 @t208)
% 19.02/19.29  (assume-push @p578 @t209)
% 19.02/19.29  (assume-push @p579 @t139)
% 19.02/19.29  (assume-push @p580 @t210)
% 19.02/19.29  (assume-push @p581 @t211)
% 19.02/19.29  (assume-push @p582 @t212)
% 19.02/19.29  (assume-push @p583 @t213)
% 19.02/19.29  (assume-push @p584 @t214)
% 19.02/19.29  (assume-push @p585 @t216)
% 19.02/19.29  (assume-push @p586 @t65)
% 19.02/19.29  (assume-push @p587 @t74)
% 19.02/19.29  (step @p84 :rule instantiate :premises (@p6) :args (@t64))
% 19.02/19.29  (step @p470 :rule symm :premises (@p420))
% 19.02/19.29  (step @p471 :rule cong :premises (@p115 @p470) :args ((tptp.join @t29 @t46)))
% 19.02/19.29  (step @p472 :rule cong :premises (@p115 @p401) :args (@t215))
% 19.02/19.29  (step @p473 :rule trans :premises (@p79 @p472 @p471 @p84))
% 19.02/19.29  (step-pop @p588 :rule scope :premises (@p473))
% 19.02/19.29  (step-pop @p589 :rule scope :premises (@p588))
% 19.02/19.29  (step-pop @p590 :rule scope :premises (@p589))
% 19.02/19.29  (step-pop @p591 :rule scope :premises (@p590))
% 19.02/19.29  (step-pop @p592 :rule scope :premises (@p591))
% 19.02/19.29  (step-pop @p593 :rule scope :premises (@p592))
% 19.02/19.29  (step-pop @p594 :rule scope :premises (@p593))
% 19.02/19.29  (step-pop @p595 :rule scope :premises (@p594))
% 19.02/19.29  (step-pop @p596 :rule scope :premises (@p595))
% 19.02/19.29  (step-pop @p597 :rule scope :premises (@p596))
% 19.02/19.29  (step-pop @p598 :rule scope :premises (@p597))
% 19.02/19.29  (step-pop @p599 :rule scope :premises (@p598))
% 19.02/19.29  (step-pop @p600 :rule scope :premises (@p599))
% 19.02/19.29  (step-pop @p601 :rule scope :premises (@p600))
% 19.02/19.29  (step-pop @p602 :rule scope :premises (@p601))
% 19.02/19.29  (step-pop @p603 :rule scope :premises (@p602))
% 19.02/19.29  (step-pop @p604 :rule scope :premises (@p603))
% 19.02/19.29  (step-pop @p605 :rule scope :premises (@p604))
% 19.02/19.29  (step-pop @p606 :rule scope :premises (@p605))
% 19.02/19.29  (step-pop @p607 :rule scope :premises (@p606))
% 19.02/19.29  (step-pop @p608 :rule scope :premises (@p607))
% 19.02/19.29  (step-pop @p609 :rule scope :premises (@p608))
% 19.02/19.29  (step-pop @p610 :rule scope :premises (@p609))
% 19.02/19.29  (step-pop @p611 :rule scope :premises (@p610))
% 19.02/19.29  (step-pop @p612 :rule scope :premises (@p611))
% 19.02/19.29  (step-pop @p613 :rule scope :premises (@p612))
% 19.02/19.29  (step-pop @p614 :rule scope :premises (@p613))
% 19.02/19.29  (step-pop @p615 :rule scope :premises (@p614))
% 19.02/19.29  (step-pop @p616 :rule scope :premises (@p615))
% 19.02/19.29  (step-pop @p617 :rule scope :premises (@p616))
% 19.02/19.29  (step-pop @p618 :rule scope :premises (@p617))
% 19.02/19.29  (step-pop @p619 :rule scope :premises (@p618))
% 19.02/19.29  (step-pop @p620 :rule scope :premises (@p619))
% 19.02/19.29  (step-pop @p621 :rule scope :premises (@p620))
% 19.02/19.29  (step-pop @p622 :rule scope :premises (@p621))
% 19.02/19.29  (step-pop @p623 :rule scope :premises (@p622))
% 19.02/19.29  (step-pop @p624 :rule scope :premises (@p623))
% 19.02/19.29  (step-pop @p625 :rule scope :premises (@p624))
% 19.02/19.29  (step-pop @p626 :rule scope :premises (@p625))
% 19.02/19.29  (step-pop @p627 :rule scope :premises (@p626))
% 19.02/19.29  (step-pop @p628 :rule scope :premises (@p627))
% 19.02/19.29  (step-pop @p629 :rule scope :premises (@p628))
% 19.02/19.29  (step-pop @p630 :rule scope :premises (@p629))
% 19.02/19.29  (step-pop @p631 :rule scope :premises (@p630))
% 19.02/19.29  (step-pop @p632 :rule scope :premises (@p631))
% 19.02/19.29  (step-pop @p633 :rule scope :premises (@p632))
% 19.02/19.29  (step-pop @p634 :rule scope :premises (@p633))
% 19.02/19.29  (step-pop @p635 :rule scope :premises (@p634))
% 19.02/19.29  (step-pop @p636 :rule scope :premises (@p635))
% 19.02/19.29  (step @p474 :rule process_scope :premises (@p636) :args (@t217))
% 19.02/19.29  (step @p524 :rule implies_elim :premises (@p474))
% 19.02/19.29  (step @p525 :rule cnf_and_neg :args (@t218))
% 19.02/19.29  (step @p526 :rule resolution :premises (@p525 @p524) :args (true @t218))
% 19.02/19.29  (step @p527 :rule reordering :premises (@p526) :args ((or @t217 (not @t164) (not @t165) (not @t167) (not @t168) (not @t169) (not @t170) (not @t171) (not @t172) (not @t173) (not @t174) (not @t175) (not @t176) (not @t177) (not @t178) (not @t179) (not @t181) (not @t183) (not @t184) (not @t185) (not @t186) (not @t187) (not @t188) (not @t190) (not @t191) (not @t192) (not @t193) (not @t194) (not @t196) (not @t197) (not @t198) (not @t199) (not @t200) (not @t201) (not @t202) (not @t203) (not @t204) (not @t206) (not @t207) (not @t208) (not @t209) (not @t139) (not @t210) (not @t211) (not @t212) (not @t213) (not @t214) (not @t216) (not @t65) (not @t74))))
% 19.02/19.29  (step @p528 false :rule chain_m_resolution :premises (@p527 @p420 @p310 @p89 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p42 @p41 @p40 @p39 @p35 @p34 @p30 @p29 @p28 @p24 @p20 @p16 @p15) :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 true false) (@list @t139 @t74 @t65 @t216 @t214 @t213 @t212 @t211 @t210 @t209 @t208 @t207 @t206 @t204 @t203 @t202 @t201 @t200 @t199 @t198 @t197 @t196 @t194 @t193 @t192 @t191 @t190 @t188 @t187 @t186 @t185 @t184 @t183 @t181 @t179 @t178 @t177 @t176 @t175 @t174 @t173 @t172 @t171 @t170 @t169 @t168 @t167 @t165 @t217 @t164)))
% 19.02/19.29  )
% 19.02/19.29  % SZS output end Proof
% 19.02/19.29  % cvc5 exiting
%------------------------------------------------------------------------------