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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU030+1 : TPTP v9.2.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n003.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 08:50:28 AM UTC 2026

% Result   : Theorem 16.63s 16.90s
% Output   : Proof 16.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU030+1 : TPTP v9.2.1. Released v3.2.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n003.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Tue Jun  2 16:23:29 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.27/0.51  %----Proving TF0_NAR, FOF, or CNF
% 16.63/16.90  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 16.63/16.90  --- Run --no-e-matching --full-saturate-quant at 6...
% 16.63/16.90  % SZS status Theorem
% 16.63/16.90  % SZS output start Proof
% 16.63/16.90  (
% 16.63/16.90  (declare-sort $$unsorted 0)
% 16.63/16.90  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 16.63/16.90  (declare-const tptp.identity_relation (-> $$unsorted $$unsorted))
% 16.63/16.90  (declare-const tptp.subset (-> $$unsorted $$unsorted Bool))
% 16.63/16.90  (declare-const tptp.function (-> $$unsorted Bool))
% 16.63/16.90  (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted))
% 16.63/16.90  (declare-const tptp.empty (-> $$unsorted Bool))
% 16.63/16.90  (declare-const tptp.relation (-> $$unsorted Bool))
% 16.63/16.90  (declare-const tptp.one_to_one (-> $$unsorted Bool))
% 16.63/16.90  (declare-const tptp.relation_rng (-> $$unsorted $$unsorted))
% 16.63/16.90  (declare-const tptp.empty_set $$unsorted)
% 16.63/16.90  (declare-const tptp.function_inverse (-> $$unsorted $$unsorted))
% 16.63/16.90  (declare-const tptp.element (-> $$unsorted $$unsorted Bool))
% 16.63/16.90  (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool))
% 16.63/16.90  (declare-const tptp.powerset (-> $$unsorted $$unsorted))
% 16.63/16.90  (declare-const tptp.relation_dom (-> $$unsorted $$unsorted))
% 16.63/16.90  (define @t1 () (@var "A" $$unsorted))
% 16.63/16.90  (define @t2 () (@var "B" $$unsorted))
% 16.63/16.90  (define @t3 () (tptp.in @t1 @t2))
% 16.63/16.90  (define @t4 () (@list @t1 @t2))
% 16.63/16.90  (define @t5 () (tptp.function @t1))
% 16.63/16.90  (define @t6 () (tptp.empty @t1))
% 16.63/16.90  (define @t7 () (@list @t1))
% 16.63/16.90  (define @t8 () (tptp.relation @t1))
% 16.63/16.90  (define @t9 () (tptp.one_to_one @t1))
% 16.63/16.90  (define @t10 () (and @t8 @t5 @t9))
% 16.63/16.90  (define @t11 () (and @t8 @t6 @t5))
% 16.63/16.90  (define @t12 () (tptp.function_inverse @t1))
% 16.63/16.90  (define @t13 () (and (tptp.relation @t12) (tptp.function @t12)))
% 16.63/16.90  (define @t14 () (and @t8 @t5))
% 16.63/16.90  (define @t15 () (forall @t7 (=> @t14 @t13)))
% 16.63/16.90  (define @t16 () (tptp.relation_composition @t1 @t2))
% 16.63/16.90  (define @t17 () (tptp.relation @t16))
% 16.63/16.90  (define @t18 () (tptp.relation @t2))
% 16.63/16.90  (define @t19 () (tptp.identity_relation @t1))
% 16.63/16.90  (define @t20 () (tptp.relation @t19))
% 16.63/16.90  (define @t21 () (@list @t2))
% 16.63/16.90  (define @t22 () (tptp.relation_composition @t2 @t1))
% 16.63/16.90  (define @t23 () (and @t6 @t18))
% 16.63/16.90  (define @t24 () (tptp.relation tptp.empty_set))
% 16.63/16.90  (define @t25 () (tptp.empty tptp.empty_set))
% 16.63/16.90  (define @t26 () (tptp.function @t2))
% 16.63/16.90  (define @t27 () (tptp.powerset @t1))
% 16.63/16.90  (define @t28 () (tptp.relation_dom @t1))
% 16.63/16.90  (define @t29 () (tptp.empty @t28))
% 16.63/16.90  (define @t30 () (not @t6))
% 16.63/16.90  (define @t31 () (and @t30 @t8))
% 16.63/16.90  (define @t32 () (tptp.relation_rng @t1))
% 16.63/16.90  (define @t33 () (tptp.empty @t32))
% 16.63/16.90  (define @t34 () (@var "D" $$unsorted))
% 16.63/16.90  (define @t35 () (@var "C" $$unsorted))
% 16.63/16.90  (define @t36 () (tptp.relation_composition @t35 @t34))
% 16.63/16.90  (define @t37 () (tptp.relation_composition @t2 @t35))
% 16.63/16.90  (define @t38 () (= @t37 (tptp.identity_relation (tptp.relation_dom @t34))))
% 16.63/16.90  (define @t39 () (tptp.relation_rng @t2))
% 16.63/16.90  (define @t40 () (and (= @t39 @t1) @t38 (= @t36 @t19)))
% 16.63/16.90  (define @t41 () (=> @t40 (= @t34 @t2)))
% 16.63/16.90  (define @t42 () (tptp.function @t34))
% 16.63/16.90  (define @t43 () (tptp.relation @t34))
% 16.63/16.90  (define @t44 () (and @t43 @t42))
% 16.63/16.90  (define @t45 () (=> @t44 @t41))
% 16.63/16.90  (define @t46 () (@list @t34))
% 16.63/16.90  (define @t47 () (forall @t46 @t45))
% 16.63/16.90  (define @t48 () (tptp.function @t35))
% 16.63/16.90  (define @t49 () (tptp.relation @t35))
% 16.63/16.90  (define @t50 () (and @t49 @t48))
% 16.63/16.90  (define @t51 () (=> @t50 @t47))
% 16.63/16.90  (define @t52 () (@list @t35))
% 16.63/16.90  (define @t53 () (forall @t52 @t51))
% 16.63/16.90  (define @t54 () (and @t18 @t26))
% 16.63/16.90  (define @t55 () (=> @t54 @t53))
% 16.63/16.90  (define @t56 () (forall @t4 @t55))
% 16.63/16.90  (define @t57 () (tptp.empty @t2))
% 16.63/16.90  (define @t58 () (tptp.element @t2 @t27))
% 16.63/16.90  (define @t59 () (tptp.element @t1 @t2))
% 16.63/16.90  (define @t60 () (tptp.element @t2 (tptp.powerset @t35)))
% 16.63/16.90  (define @t61 () (@list @t1 @t2 @t35))
% 16.63/16.90  (define @t62 () (and (= @t32 (tptp.relation_dom @t12)) (= @t28 (tptp.relation_rng @t12))))
% 16.63/16.90  (define @t63 () (=> @t9 @t62))
% 16.63/16.90  (define @t64 () (forall @t7 (=> @t14 @t63)))
% 16.63/16.90  (define @t65 () (tptp.identity_relation @t28))
% 16.63/16.90  (define @t66 () (and (= (tptp.relation_composition @t1 @t12) @t65) (= (tptp.relation_composition @t12 @t1) (tptp.identity_relation @t32))))
% 16.63/16.90  (define @t67 () (=> @t9 @t66))
% 16.63/16.90  (define @t68 () (forall @t7 (=> @t14 @t67)))
% 16.63/16.90  (define @t69 () (= @t2 @t12))
% 16.63/16.90  (define @t70 () (= @t16 @t65))
% 16.63/16.90  (define @t71 () (= @t32 (tptp.relation_dom @t2)))
% 16.63/16.90  (define @t72 () (and @t9 @t71 @t70))
% 16.63/16.90  (define @t73 () (=> @t72 @t69))
% 16.63/16.90  (define @t74 () (forall @t21 (=> @t54 @t73)))
% 16.63/16.90  (define @t75 () (=> @t14 @t74))
% 16.63/16.90  (define @t76 () (forall @t7 @t75))
% 16.63/16.90  (define @t77 () (not @t76))
% 16.63/16.90  (define @t78 () (@var "BOUND_VARIABLE_7913" $$unsorted))
% 16.63/16.90  (define @t79 () (tptp.relation_composition @t1 @t78))
% 16.63/16.90  (define @t80 () (not (= @t79 @t65)))
% 16.63/16.90  (define @t81 () (not (= @t32 (tptp.relation_dom @t78))))
% 16.63/16.90  (define @t82 () (not (tptp.function @t78)))
% 16.63/16.90  (define @t83 () (not (tptp.relation @t78)))
% 16.63/16.90  (define @t84 () (not @t9))
% 16.63/16.90  (define @t85 () (not @t5))
% 16.63/16.90  (define @t86 () (not @t8))
% 16.63/16.90  (define @t87 () (= @t78 @t12))
% 16.63/16.90  (define @t88 () (or @t86 @t85 @t84 @t83 @t82 @t81 @t80 @t87))
% 16.63/16.90  (define @t89 () (or @t83 @t82 @t81 @t80 @t87))
% 16.63/16.90  (define @t90 () (or @t86 @t85 @t84 @t89))
% 16.63/16.90  (define @t91 () (@list @t1 @t78))
% 16.63/16.90  (define @t92 () (forall @t91 @t90))
% 16.63/16.90  (define @t93 () (@list @t78))
% 16.63/16.90  (define @t94 () (forall @t93 @t90))
% 16.63/16.90  (define @t95 () (forall @t93 @t89))
% 16.63/16.90  (define @t96 () (or @t86 @t85 @t84 @t95))
% 16.63/16.90  (define @t97 () (not @t70))
% 16.63/16.90  (define @t98 () (not @t71))
% 16.63/16.90  (define @t99 () (not @t26))
% 16.63/16.90  (define @t100 () (not @t18))
% 16.63/16.90  (define @t101 () (or @t100 @t99 @t98 @t97 @t69))
% 16.63/16.90  (define @t102 () (forall @t21 @t101))
% 16.63/16.90  (define @t103 () (or @t86 @t85 @t84 @t102))
% 16.63/16.90  (define @t104 () (or @t84 @t102))
% 16.63/16.90  (define @t105 () (or @t86 @t85))
% 16.63/16.90  (define @t106 () (not @t14))
% 16.63/16.90  (define @t107 () (or @t84 @t101))
% 16.63/16.90  (define @t108 () (or @t100 @t99 @t84 @t98 @t97 @t69))
% 16.63/16.90  (define @t109 () (or @t84 @t98 @t97 @t69))
% 16.63/16.90  (define @t110 () (or @t100 @t99))
% 16.63/16.90  (define @t111 () (or @t84 @t98 @t97))
% 16.63/16.90  (define @t112 () (not @t54))
% 16.63/16.90  (define @t113 () (forall @t91 (or @t86 @t85 @t84 @t83 @t82 @t81 (not (= @t65 @t79)) (= @t12 @t78))))
% 16.63/16.90  (define @t114 () (@quantifiers_skolemize @t113 0))
% 16.63/16.90  (define @t115 () (tptp.function_inverse @t114))
% 16.63/16.90  (define @t116 () (@quantifiers_skolemize @t113 1))
% 16.63/16.90  (define @t117 () (= @t116 @t115))
% 16.63/16.90  (define @t118 () (tptp.relation_composition @t114 @t116))
% 16.63/16.90  (define @t119 () (tptp.relation_dom @t114))
% 16.63/16.90  (define @t120 () (tptp.identity_relation @t119))
% 16.63/16.90  (define @t121 () (= @t120 @t118))
% 16.63/16.90  (define @t122 () (not @t121))
% 16.63/16.90  (define @t123 () (tptp.relation_dom @t116))
% 16.63/16.90  (define @t124 () (tptp.relation_rng @t114))
% 16.63/16.90  (define @t125 () (= @t124 @t123))
% 16.63/16.90  (define @t126 () (not @t125))
% 16.63/16.90  (define @t127 () (tptp.function @t116))
% 16.63/16.90  (define @t128 () (not @t127))
% 16.63/16.90  (define @t129 () (tptp.relation @t116))
% 16.63/16.90  (define @t130 () (not @t129))
% 16.63/16.90  (define @t131 () (tptp.one_to_one @t114))
% 16.63/16.90  (define @t132 () (not @t131))
% 16.63/16.90  (define @t133 () (tptp.function @t114))
% 16.63/16.90  (define @t134 () (not @t133))
% 16.63/16.90  (define @t135 () (tptp.relation @t114))
% 16.63/16.90  (define @t136 () (not @t135))
% 16.63/16.90  (define @t137 () (or @t136 @t134 @t132 @t130 @t128 @t126 @t122 @t117))
% 16.63/16.90  (define @t138 () (not @t137))
% 16.63/16.90  (define @t139 () (not @t113))
% 16.63/16.90  (define @t140 () (= @t115 @t116))
% 16.63/16.90  (define @t141 () (or @t136 @t134 @t132 @t130 @t128 @t126 @t122 @t140))
% 16.63/16.90  (define @t142 () (not @t141))
% 16.63/16.90  (define @t143 () (@list true))
% 16.63/16.90  (define @t144 () (@list @t137))
% 16.63/16.90  (define @t145 () (@list @t114))
% 16.63/16.90  (define @t146 () (tptp.function @t115))
% 16.63/16.90  (define @t147 () (tptp.relation @t115))
% 16.63/16.90  (define @t148 () (and @t147 @t146))
% 16.63/16.90  (define @t149 () (or @t136 @t134 @t148))
% 16.63/16.90  (define @t150 () (not @t148))
% 16.63/16.90  (define @t151 () (@list false))
% 16.63/16.90  (define @t152 () (@list @t148))
% 16.63/16.90  (define @t153 () (@var "BOUND_VARIABLE_7766" $$unsorted))
% 16.63/16.90  (define @t154 () (= @t2 @t153))
% 16.63/16.90  (define @t155 () (tptp.identity_relation @t39))
% 16.63/16.90  (define @t156 () (@var "BOUND_VARIABLE_7764" $$unsorted))
% 16.63/16.90  (define @t157 () (tptp.relation_composition @t156 @t153))
% 16.63/16.90  (define @t158 () (not (= @t157 @t155)))
% 16.63/16.90  (define @t159 () (not (= (tptp.relation_composition @t2 @t156) (tptp.identity_relation (tptp.relation_dom @t153)))))
% 16.63/16.90  (define @t160 () (not (tptp.function @t153)))
% 16.63/16.90  (define @t161 () (not (tptp.relation @t153)))
% 16.63/16.90  (define @t162 () (not (tptp.function @t156)))
% 16.63/16.90  (define @t163 () (not (tptp.relation @t156)))
% 16.63/16.90  (define @t164 () (or @t100 @t99 @t163 @t162 @t161 @t160 @t159 @t158 @t154))
% 16.63/16.90  (define @t165 () (not (= @t155 @t157)))
% 16.63/16.90  (define @t166 () (not (= @t39 @t39)))
% 16.63/16.90  (define @t167 () (or @t100 @t99 @t166 @t163 @t162 @t161 @t160 @t159 @t165 @t154))
% 16.63/16.90  (define @t168 () (@list @t2 @t156 @t153))
% 16.63/16.90  (define @t169 () (not (= @t19 @t157)))
% 16.63/16.90  (define @t170 () (= @t1 @t39))
% 16.63/16.90  (define @t171 () (not @t170))
% 16.63/16.90  (define @t172 () (or @t171 @t100 @t99 @t171 @t163 @t162 @t161 @t160 @t159 @t169 @t154))
% 16.63/16.90  (define @t173 () (or @t100 @t99 @t171 @t163 @t162 @t161 @t160 @t159 @t169 @t154))
% 16.63/16.90  (define @t174 () (forall @t7 @t173))
% 16.63/16.90  (define @t175 () (forall @t168 @t174))
% 16.63/16.90  (define @t176 () (forall (@list @t2 @t156 @t153 @t1) @t173))
% 16.63/16.90  (define @t177 () (@list @t1 @t2 @t156 @t153))
% 16.63/16.90  (define @t178 () (or @t163 @t162 @t161 @t160 @t159 @t169 @t154))
% 16.63/16.90  (define @t179 () (or @t100 @t99 @t171 @t178))
% 16.63/16.90  (define @t180 () (forall @t177 @t179))
% 16.63/16.90  (define @t181 () (@list @t156 @t153))
% 16.63/16.90  (define @t182 () (forall @t181 @t179))
% 16.63/16.90  (define @t183 () (forall @t181 @t178))
% 16.63/16.90  (define @t184 () (@var "BOUND_VARIABLE_7737" $$unsorted))
% 16.63/16.90  (define @t185 () (or @t100 @t99 @t171 @t183))
% 16.63/16.90  (define @t186 () (= @t2 @t184))
% 16.63/16.90  (define @t187 () (not (= @t19 (tptp.relation_composition @t35 @t184))))
% 16.63/16.90  (define @t188 () (not (= @t37 (tptp.identity_relation (tptp.relation_dom @t184)))))
% 16.63/16.90  (define @t189 () (not (tptp.function @t184)))
% 16.63/16.90  (define @t190 () (not (tptp.relation @t184)))
% 16.63/16.90  (define @t191 () (not @t48))
% 16.63/16.90  (define @t192 () (not @t49))
% 16.63/16.90  (define @t193 () (or @t192 @t191 @t190 @t189 @t188 @t187 @t186))
% 16.63/16.90  (define @t194 () (@list @t35 @t184))
% 16.63/16.90  (define @t195 () (forall @t194 @t193))
% 16.63/16.90  (define @t196 () (or @t100 @t99 @t171 @t195))
% 16.63/16.90  (define @t197 () (or @t171 @t195))
% 16.63/16.90  (define @t198 () (or @t190 @t189 @t188 @t187 @t186))
% 16.63/16.90  (define @t199 () (or @t192 @t191 @t198))
% 16.63/16.90  (define @t200 () (forall @t194 @t199))
% 16.63/16.90  (define @t201 () (@list @t184))
% 16.63/16.90  (define @t202 () (forall @t201 @t199))
% 16.63/16.90  (define @t203 () (forall @t201 @t198))
% 16.63/16.90  (define @t204 () (or @t192 @t191 @t203))
% 16.63/16.90  (define @t205 () (= @t2 @t34))
% 16.63/16.90  (define @t206 () (= @t19 @t36))
% 16.63/16.90  (define @t207 () (not @t206))
% 16.63/16.90  (define @t208 () (not @t38))
% 16.63/16.90  (define @t209 () (not @t42))
% 16.63/16.90  (define @t210 () (not @t43))
% 16.63/16.90  (define @t211 () (or @t210 @t209 @t208 @t207 @t205))
% 16.63/16.90  (define @t212 () (forall @t46 @t211))
% 16.63/16.90  (define @t213 () (or @t192 @t191 @t212))
% 16.63/16.90  (define @t214 () (forall @t52 @t213))
% 16.63/16.90  (define @t215 () (or @t171 @t214))
% 16.63/16.90  (define @t216 () (or @t171 @t213))
% 16.63/16.90  (define @t217 () (or @t192 @t191 @t171 @t212))
% 16.63/16.90  (define @t218 () (or @t171 @t212))
% 16.63/16.90  (define @t219 () (or @t171 @t211))
% 16.63/16.90  (define @t220 () (or @t210 @t209 @t171 @t208 @t207 @t205))
% 16.63/16.90  (define @t221 () (or @t171 @t208 @t207 @t205))
% 16.63/16.90  (define @t222 () (or @t171 @t208 @t207))
% 16.63/16.90  (define @t223 () (and @t170 @t38 @t206))
% 16.63/16.90  (define @t224 () (=> @t223 @t205))
% 16.63/16.90  (define @t225 () (tptp.relation_rng @t115))
% 16.63/16.90  (define @t226 () (= @t118 (tptp.identity_relation @t225)))
% 16.63/16.90  (define @t227 () (not @t226))
% 16.63/16.90  (define @t228 () (tptp.relation_composition @t115 @t114))
% 16.63/16.90  (define @t229 () (= @t228 (tptp.identity_relation @t123)))
% 16.63/16.90  (define @t230 () (not @t229))
% 16.63/16.90  (define @t231 () (not @t146))
% 16.63/16.90  (define @t232 () (not @t147))
% 16.63/16.90  (define @t233 () (or @t232 @t231 @t136 @t134 @t130 @t128 @t230 @t227 @t140))
% 16.63/16.90  (define @t234 () (forall @t168 @t164))
% 16.63/16.90  (define @t235 () (or @t232 @t231 @t136 @t134 @t130 @t128 @t230 @t227 @t117))
% 16.63/16.90  (define @t236 () (= @t119 @t225))
% 16.63/16.90  (define @t237 () (and (= @t124 (tptp.relation_dom @t115)) @t236))
% 16.63/16.90  (define @t238 () (or @t136 @t134 @t132 @t237))
% 16.63/16.90  (define @t239 () (@list false false false false))
% 16.63/16.90  (define @t240 () (tptp.identity_relation @t124))
% 16.63/16.90  (define @t241 () (or @t86 @t85 @t84 @t66))
% 16.63/16.90  (define @t242 () (= @t228 @t240))
% 16.63/16.90  (define @t243 () (tptp.relation_composition @t114 @t115))
% 16.63/16.90  (define @t244 () (and (= @t243 @t120) @t242))
% 16.63/16.90  (define @t245 () (or @t136 @t134 @t132 @t244))
% 16.63/16.90  (define @t246 () (forall @t7 @t241))
% 16.63/16.90  (define @t247 () (and (= @t120 @t243) @t242))
% 16.63/16.90  (define @t248 () (or @t136 @t134 @t132 @t247))
% 16.63/16.90  (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1)))))
% 16.63/16.90  (assume @p2 (forall @t7 (=> @t6 @t5)))
% 16.63/16.90  (assume @p3 (forall @t7 (=> @t6 @t8)))
% 16.63/16.90  (assume @p4 (forall @t7 (=> @t11 @t10)))
% 16.63/16.90  (assume @p5 @t15)
% 16.63/16.90  (assume @p6 (forall @t4 (=> (and @t8 @t18) @t17)))
% 16.63/16.90  (assume @p7 (forall @t7 @t20))
% 16.63/16.90  (assume @p8 (forall @t7 (exists @t21 (tptp.element @t2 @t1))))
% 16.63/16.90  (assume @p9 (forall @t4 (=> @t23 (and (tptp.empty @t22) (tptp.relation @t22)))))
% 16.63/16.90  (assume @p10 (and @t25 @t24 (tptp.relation_empty_yielding tptp.empty_set)))
% 16.63/16.90  (assume @p11 (forall @t4 (=> (and @t8 @t5 @t18 @t26) (and @t17 (tptp.function @t16)))))
% 16.63/16.90  (assume @p12 (forall @t7 (not (tptp.empty @t27))))
% 16.63/16.90  (assume @p13 @t25)
% 16.63/16.90  (assume @p14 (forall @t7 (and @t20 (tptp.function @t19))))
% 16.63/16.90  (assume @p15 (and @t25 @t24))
% 16.63/16.90  (assume @p16 (forall @t7 (=> @t31 (not @t29))))
% 16.63/16.90  (assume @p17 (forall @t7 (=> @t31 (not @t33))))
% 16.63/16.90  (assume @p18 (forall @t7 (=> @t6 (and @t29 (tptp.relation @t28)))))
% 16.63/16.90  (assume @p19 (forall @t7 (=> @t6 (and @t33 (tptp.relation @t32)))))
% 16.63/16.90  (assume @p20 (forall @t4 (=> @t23 (and (tptp.empty @t16) @t17))))
% 16.63/16.90  (assume @p21 @t56)
% 16.63/16.90  (assume @p22 (exists @t7 @t14))
% 16.63/16.90  (assume @p23 (exists @t7 (and @t6 @t8)))
% 16.63/16.90  (assume @p24 (forall @t7 (=> @t30 (exists @t21 (and @t58 (not @t57))))))
% 16.63/16.90  (assume @p25 (exists @t7 @t6))
% 16.63/16.90  (assume @p26 (exists @t7 @t11))
% 16.63/16.90  (assume @p27 (exists @t7 @t31))
% 16.63/16.90  (assume @p28 (forall @t7 (exists @t21 (and @t58 @t57))))
% 16.63/16.90  (assume @p29 (exists @t7 @t30))
% 16.63/16.90  (assume @p30 (exists @t7 @t10))
% 16.63/16.90  (assume @p31 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1))))
% 16.63/16.90  (assume @p32 (forall @t4 (tptp.subset @t1 @t1)))
% 16.63/16.90  (assume @p33 (forall @t4 (=> @t3 @t59)))
% 16.63/16.90  (assume @p34 (forall @t4 (=> @t59 (or @t57 @t3))))
% 16.63/16.90  (assume @p35 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2))))
% 16.63/16.90  (assume @p36 (forall @t61 (=> (and @t3 @t60) (tptp.element @t1 @t35))))
% 16.63/16.90  (assume @p37 @t64)
% 16.63/16.90  (assume @p38 (forall @t61 (not (and @t3 @t60 (tptp.empty @t35)))))
% 16.63/16.90  (assume @p39 @t68)
% 16.63/16.90  (assume @p40 @t77)
% 16.63/16.90  (assume @p41 (forall @t7 (=> @t6 (= @t1 tptp.empty_set))))
% 16.63/16.90  (assume @p42 (forall @t4 (not (and @t3 @t57))))
% 16.63/16.90  (assume @p43 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t57))))
% 16.63/16.90  (assume @p44 true)
% 16.63/16.90  (step @p45 :rule eq-symm :args (@t78 @t12))
% 16.63/16.90  (step @p46 :rule eq-symm :args (@t79 @t65))
% 16.63/16.90  (step @p47 :rule cong :premises (@p46) :args (@t80))
% 16.63/16.90  (step @p48 :rule refl :args (@t81))
% 16.63/16.90  (step @p49 :rule refl :args (@t82))
% 16.63/16.90  (step @p50 :rule refl :args (@t83))
% 16.63/16.90  (step @p51 :rule refl :args (@t84))
% 16.63/16.90  (step @p52 :rule refl :args (@t85))
% 16.63/16.90  (step @p53 :rule refl :args (@t86))
% 16.63/16.90  (step @p54 :rule nary_cong :premises (@p53 @p52 @p51 @p50 @p49 @p48 @p47 @p45) :args (@t88))
% 16.63/16.90  (step @p55 :rule aci_norm :args ((= @t90 @t88)))
% 16.63/16.90  (step @p56 :rule trans :premises (@p55 @p54))
% 16.63/16.90  (step @p57 :rule cong :premises (@p56) :args (@t92))
% 16.63/16.90  (step @p58 :rule quant-merge-prenex :args ((= (forall @t7 @t94) @t92)))
% 16.63/16.90  (step @p59 :rule alpha_equiv :args (@t95 (@list @t78) (@list @t2)))
% 16.63/16.90  (step @p60 :rule refl :args (@t84))
% 16.63/16.90  (step @p61 :rule refl :args (@t85))
% 16.63/16.90  (step @p62 :rule refl :args (@t86))
% 16.63/16.90  (step @p63 :rule nary_cong :premises (@p62 @p61 @p60 @p59) :args (@t96))
% 16.63/16.90  (step @p64 :rule quant-miniscope-or :args ((= @t94 @t96)))
% 16.63/16.90  (step @p65 :rule trans :premises (@p64 @p63))
% 16.63/16.90  (step @p66 :rule symm :premises (@p65))
% 16.63/16.90  (step @p67 :rule cong :premises (@p66) :args ((forall @t7 @t103)))
% 16.63/16.90  (step @p68 :rule trans :premises (@p67 @p58))
% 16.63/16.90  (step @p69 :rule trans :premises (@p68 @p57))
% 16.63/16.90  (step @p70 :rule aci_norm :args ((= (or @t105 @t104) @t103)))
% 16.63/16.90  (step @p71 :rule refl :args (@t104))
% 16.63/16.90  (step @p72 :rule bool-and-de-morgan :args (@t8 @t5 true))
% 16.63/16.90  (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t106 @t104)))
% 16.63/16.90  (step @p74 :rule trans :premises (@p73 @p70))
% 16.63/16.90  (step @p75 :rule bool-impl-elim :args (@t14 @t104))
% 16.63/16.90  (step @p76 :rule trans :premises (@p75 @p74))
% 16.63/16.90  (step @p77 :rule cong :premises (@p76) :args ((forall @t7 (=> @t14 @t104))))
% 16.63/16.90  (step @p78 :rule trans :premises (@p77 @p69))
% 16.63/16.90  (step @p79 :rule quant-miniscope-or :args ((= (forall @t21 @t107) @t104)))
% 16.63/16.90  (step @p80 :rule aci_norm :args ((= @t108 @t107)))
% 16.63/16.90  (step @p81 :rule cong :premises (@p80) :args ((forall @t21 @t108)))
% 16.63/16.90  (step @p82 :rule trans :premises (@p81 @p79))
% 16.63/16.90  (step @p83 :rule aci_norm :args ((= (or @t110 @t109) @t108)))
% 16.63/16.90  (step @p84 :rule aci_norm :args ((= (or @t111 @t69) @t109)))
% 16.63/16.90  (step @p85 :rule refl :args (@t69))
% 16.63/16.90  (step @p86 :rule aci_norm :args ((= (or @t84 (or @t98 @t97)) @t111)))
% 16.63/16.90  (step @p87 :rule bool-and-de-morgan :args (@t71 @t70 true))
% 16.63/16.90  (step @p88 :rule nary_cong :premises (@p60 @p87) :args ((or @t84 (not (and @t71 @t70)))))
% 16.63/16.90  (step @p89 :rule bool-and-de-morgan :args (@t9 @t71 (and @t70)))
% 16.63/16.90  (step @p90 :rule trans :premises (@p89 @p88))
% 16.63/16.90  (step @p91 :rule trans :premises (@p90 @p86))
% 16.63/16.90  (step @p92 :rule nary_cong :premises (@p91 @p85) :args ((or (not @t72) @t69)))
% 16.63/16.90  (step @p93 :rule trans :premises (@p92 @p84))
% 16.63/16.90  (step @p94 :rule bool-impl-elim :args (@t72 @t69))
% 16.63/16.90  (step @p95 :rule trans :premises (@p94 @p93))
% 16.63/16.90  (step @p96 :rule bool-and-de-morgan :args (@t18 @t26 true))
% 16.63/16.90  (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t112 @t73)))
% 16.63/16.90  (step @p98 :rule trans :premises (@p97 @p83))
% 16.63/16.90  (step @p99 :rule bool-impl-elim :args (@t54 @t73))
% 16.63/16.90  (step @p100 :rule trans :premises (@p99 @p98))
% 16.63/16.90  (step @p101 :rule cong :premises (@p100) :args (@t74))
% 16.63/16.90  (step @p102 :rule trans :premises (@p101 @p82))
% 16.63/16.90  (step @p103 :rule refl :args (@t14))
% 16.63/16.90  (step @p104 :rule cong :premises (@p103 @p102) :args (@t75))
% 16.63/16.90  (step @p105 :rule cong :premises (@p104) :args (@t76))
% 16.63/16.90  (step @p106 :rule trans :premises (@p105 @p78))
% 16.63/16.90  (step @p107 :rule cong :premises (@p106) :args (@t77))
% 16.63/16.90  (step @p108 :rule eq_resolve :premises (@p40 @p107))
% 16.63/16.90  (step @p109 :rule refl :args (@t138))
% 16.63/16.90  (step @p110 :rule bool-double-not-elim :args (@t113))
% 16.63/16.90  (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or (not @t139) @t138)))
% 16.63/16.90  (step @p112 :rule eq-symm :args (@t115 @t116))
% 16.63/16.90  (step @p113 :rule refl :args (@t122))
% 16.63/16.90  (step @p114 :rule refl :args (@t126))
% 16.63/16.90  (step @p115 :rule refl :args (@t128))
% 16.63/16.90  (step @p116 :rule refl :args (@t130))
% 16.63/16.90  (step @p117 :rule refl :args (@t132))
% 16.63/16.90  (step @p118 :rule refl :args (@t134))
% 16.63/16.90  (step @p119 :rule refl :args (@t136))
% 16.63/16.90  (step @p120 :rule nary_cong :premises (@p119 @p118 @p117 @p116 @p115 @p114 @p113 @p112) :args (@t141))
% 16.63/16.90  (step @p121 :rule cong :premises (@p120) :args (@t142))
% 16.63/16.90  (step @p122 :rule refl :args (@t139))
% 16.63/16.90  (step @p123 :rule cong :premises (@p122 @p121) :args ((=> @t139 @t142)))
% 16.63/16.90  (assume-push @p382 @t139)
% 16.63/16.90  (step @p125 :rule skolemize :premises (@p108))
% 16.63/16.90  (step-pop @p383 :rule scope :premises (@p125))
% 16.63/16.90  (step @p126 :rule process_scope :premises (@p383) :args (@t142))
% 16.63/16.90  (step @p128 :rule eq_resolve :premises (@p126 @p123))
% 16.63/16.90  (step @p129 :rule implies_elim :premises (@p128))
% 16.63/16.90  (step @p130 :rule eq_resolve :premises (@p129 @p111))
% 16.63/16.90  (step @p131 :rule chain_m_resolution :premises (@p130 @p108) :args (@t138 @t143 (@list @t113)))
% 16.63/16.90  (step @p132 :rule bool-double-not-elim :args (@t135))
% 16.63/16.90  (step @p133 :rule refl :args (@t137))
% 16.63/16.90  (step @p134 :rule nary_cong :premises (@p133 @p132) :args ((or @t137 (not @t136))))
% 16.63/16.90  (step @p135 :rule cnf_or_neg :args (@t137 0))
% 16.63/16.90  (step @p136 :rule eq_resolve :premises (@p135 @p134))
% 16.63/16.90  (step @p137 :rule reordering :premises (@p136) :args ((or @t135 @t137)))
% 16.63/16.90  (step @p138 :rule chain_m_resolution :premises (@p137 @p131) :args (@t135 @t143 @t144))
% 16.63/16.90  (step @p139 :rule bool-double-not-elim :args (@t133))
% 16.63/16.90  (step @p140 :rule nary_cong :premises (@p133 @p139) :args ((or @t137 (not @t134))))
% 16.63/16.90  (step @p141 :rule cnf_or_neg :args (@t137 1))
% 16.63/16.90  (step @p142 :rule eq_resolve :premises (@p141 @p140))
% 16.63/16.90  (step @p143 :rule reordering :premises (@p142) :args ((or @t133 @t137)))
% 16.63/16.90  (step @p144 :rule chain_m_resolution :premises (@p143 @p131) :args (@t133 @t143 @t144))
% 16.63/16.90  (step @p145 :rule bool-double-not-elim :args (@t129))
% 16.63/16.90  (step @p146 :rule nary_cong :premises (@p133 @p145) :args ((or @t137 (not @t130))))
% 16.63/16.90  (step @p147 :rule cnf_or_neg :args (@t137 3))
% 16.63/16.90  (step @p148 :rule eq_resolve :premises (@p147 @p146))
% 16.63/16.90  (step @p149 :rule reordering :premises (@p148) :args ((or @t129 @t137)))
% 16.63/16.90  (step @p150 :rule chain_m_resolution :premises (@p149 @p131) :args (@t129 @t143 @t144))
% 16.63/16.90  (step @p151 :rule bool-double-not-elim :args (@t127))
% 16.63/16.90  (step @p152 :rule nary_cong :premises (@p133 @p151) :args ((or @t137 (not @t128))))
% 16.63/16.90  (step @p153 :rule cnf_or_neg :args (@t137 4))
% 16.63/16.90  (step @p154 :rule eq_resolve :premises (@p153 @p152))
% 16.63/16.90  (step @p155 :rule reordering :premises (@p154) :args ((or @t127 @t137)))
% 16.63/16.90  (step @p156 :rule chain_m_resolution :premises (@p155 @p131) :args (@t127 @t143 @t144))
% 16.63/16.90  (step @p157 :rule cnf_or_neg :args (@t137 7))
% 16.63/16.90  (step @p158 :rule chain_m_resolution :premises (@p157 @p131) :args ((not @t117) @t143 @t144))
% 16.63/16.90  (step @p159 :rule aci_norm :args ((= (or @t105 @t13) (or @t86 @t85 @t13))))
% 16.63/16.90  (step @p160 :rule refl :args (@t13))
% 16.63/16.90  (step @p161 :rule nary_cong :premises (@p72 @p160) :args ((or @t106 @t13)))
% 16.63/16.90  (step @p162 :rule trans :premises (@p161 @p159))
% 16.63/16.90  (step @p163 :rule bool-impl-elim :args (@t14 @t13))
% 16.63/16.90  (step @p164 :rule trans :premises (@p163 @p162))
% 16.63/16.90  (step @p165 :rule cong :premises (@p164) :args (@t15))
% 16.63/16.90  (step @p166 :rule eq_resolve :premises (@p5 @p165))
% 16.63/16.90  (step @p167 :rule instantiate :premises (@p166) :args (@t145))
% 16.63/16.90  (step @p168 :rule cnf_or_pos :args (@t149))
% 16.63/16.90  (step @p169 :rule reordering :premises (@p168) :args ((or @t136 @t134 @t148 (not @t149))))
% 16.63/16.90  (step @p170 :rule chain_m_resolution :premises (@p169 @p138 @p144 @p167) :args (@t148 (@list false false false) (@list @t135 @t133 @t149)))
% 16.63/16.90  (step @p171 :rule cnf_and_pos :args (@t148 0))
% 16.63/16.90  (step @p172 :rule reordering :premises (@p171) :args ((or @t147 @t150)))
% 16.63/16.90  (step @p173 :rule chain_m_resolution :premises (@p172 @p170) :args (@t147 @t151 @t152))
% 16.63/16.90  (step @p174 :rule cnf_and_pos :args (@t148 1))
% 16.63/16.90  (step @p175 :rule reordering :premises (@p174) :args ((or @t146 @t150)))
% 16.63/16.90  (step @p176 :rule chain_m_resolution :premises (@p175 @p170) :args (@t146 @t151 @t152))
% 16.63/16.90  (step @p177 :rule aci_norm :args ((= (or @t100 @t99 false @t163 @t162 @t161 @t160 @t159 @t158 @t154) @t164)))
% 16.63/16.90  (step @p178 :rule refl :args (@t154))
% 16.63/16.90  (step @p179 :rule eq-symm :args (@t155 @t157))
% 16.63/16.90  (step @p180 :rule cong :premises (@p179) :args (@t165))
% 16.63/16.90  (step @p181 :rule refl :args (@t159))
% 16.63/16.90  (step @p182 :rule refl :args (@t160))
% 16.63/16.90  (step @p183 :rule refl :args (@t161))
% 16.63/16.90  (step @p184 :rule refl :args (@t162))
% 16.63/16.90  (step @p185 :rule refl :args (@t163))
% 16.63/16.90  (step @p186 :rule evaluate :args ((not true)))
% 16.63/16.90  (step @p187 :rule eq-refl :args (@t39))
% 16.63/16.90  (step @p188 :rule cong :premises (@p187) :args (@t166))
% 16.63/16.90  (step @p189 :rule trans :premises (@p188 @p186))
% 16.63/16.90  (step @p190 :rule refl :args (@t99))
% 16.63/16.90  (step @p191 :rule refl :args (@t100))
% 16.63/16.90  (step @p192 :rule nary_cong :premises (@p191 @p190 @p189 @p185 @p184 @p183 @p182 @p181 @p180 @p178) :args (@t167))
% 16.63/16.90  (step @p193 :rule trans :premises (@p192 @p177))
% 16.63/16.90  (step @p194 :rule cong :premises (@p193) :args ((forall @t168 @t167)))
% 16.63/16.90  (step @p195 :rule quant-var-elim-eq :args ((= (forall @t7 @t172) @t167)))
% 16.63/16.90  (step @p196 :rule aci_norm :args ((= @t173 @t172)))
% 16.63/16.90  (step @p197 :rule cong :premises (@p196) :args (@t174))
% 16.63/16.90  (step @p198 :rule trans :premises (@p197 @p195))
% 16.63/16.90  (step @p199 :rule cong :premises (@p198) :args (@t175))
% 16.63/16.90  (step @p200 :rule quant-merge-prenex :args ((= @t175 @t176)))
% 16.63/16.90  (step @p201 :rule symm :premises (@p200))
% 16.63/16.90  (step @p202 :rule quant_var_reordering :args ((= (forall @t177 @t173) @t176)))
% 16.63/16.90  (step @p203 :rule trans :premises (@p202 @p201 @p199))
% 16.63/16.90  (step @p204 :rule trans :premises (@p203 @p194))
% 16.63/16.90  (step @p205 :rule aci_norm :args ((= @t179 @t173)))
% 16.63/16.90  (step @p206 :rule cong :premises (@p205) :args (@t180))
% 16.63/16.90  (step @p207 :rule trans :premises (@p206 @p204))
% 16.63/16.90  (step @p208 :rule quant-merge-prenex :args ((= (forall @t4 @t182) @t180)))
% 16.63/16.90  (step @p209 :rule alpha_equiv :args (@t183 (@list @t156 @t153) (@list @t35 @t184)))
% 16.63/16.90  (step @p210 :rule refl :args (@t171))
% 16.63/16.90  (step @p211 :rule refl :args (@t99))
% 16.63/16.90  (step @p212 :rule refl :args (@t100))
% 16.63/16.90  (step @p213 :rule nary_cong :premises (@p212 @p211 @p210 @p209) :args (@t185))
% 16.63/16.90  (step @p214 :rule quant-miniscope-or :args ((= @t182 @t185)))
% 16.63/16.90  (step @p215 :rule trans :premises (@p214 @p213))
% 16.63/16.90  (step @p216 :rule symm :premises (@p215))
% 16.63/16.90  (step @p217 :rule cong :premises (@p216) :args ((forall @t4 @t196)))
% 16.63/16.90  (step @p218 :rule trans :premises (@p217 @p208))
% 16.63/16.90  (step @p219 :rule trans :premises (@p218 @p207))
% 16.63/16.90  (step @p220 :rule aci_norm :args ((= (or @t110 @t197) @t196)))
% 16.63/16.90  (step @p221 :rule refl :args (@t197))
% 16.63/16.90  (step @p222 :rule nary_cong :premises (@p96 @p221) :args ((or @t112 @t197)))
% 16.63/16.90  (step @p223 :rule trans :premises (@p222 @p220))
% 16.63/16.90  (step @p224 :rule bool-impl-elim :args (@t54 @t197))
% 16.63/16.90  (step @p225 :rule trans :premises (@p224 @p223))
% 16.63/16.90  (step @p226 :rule cong :premises (@p225) :args ((forall @t4 (=> @t54 @t197))))
% 16.63/16.90  (step @p227 :rule trans :premises (@p226 @p219))
% 16.63/16.90  (step @p228 :rule aci_norm :args ((= @t199 @t193)))
% 16.63/16.90  (step @p229 :rule cong :premises (@p228) :args (@t200))
% 16.63/16.90  (step @p230 :rule quant-merge-prenex :args ((= (forall @t52 @t202) @t200)))
% 16.63/16.90  (step @p231 :rule alpha_equiv :args (@t203 (@list @t184) (@list @t34)))
% 16.63/16.90  (step @p232 :rule refl :args (@t191))
% 16.63/16.90  (step @p233 :rule refl :args (@t192))
% 16.63/16.90  (step @p234 :rule nary_cong :premises (@p233 @p232 @p231) :args (@t204))
% 16.63/16.90  (step @p235 :rule quant-miniscope-or :args ((= @t202 @t204)))
% 16.63/16.90  (step @p236 :rule trans :premises (@p235 @p234))
% 16.63/16.90  (step @p237 :rule symm :premises (@p236))
% 16.63/16.90  (step @p238 :rule cong :premises (@p237) :args (@t214))
% 16.63/16.90  (step @p239 :rule trans :premises (@p238 @p230))
% 16.63/16.90  (step @p240 :rule trans :premises (@p239 @p229))
% 16.63/16.90  (step @p241 :rule refl :args (@t171))
% 16.63/16.90  (step @p242 :rule nary_cong :premises (@p241 @p240) :args (@t215))
% 16.63/16.90  (step @p243 :rule quant-miniscope-or :args ((= (forall @t52 @t216) @t215)))
% 16.63/16.90  (step @p244 :rule aci_norm :args ((= @t217 @t216)))
% 16.63/16.90  (step @p245 :rule cong :premises (@p244) :args ((forall @t52 @t217)))
% 16.63/16.90  (step @p246 :rule trans :premises (@p245 @p243))
% 16.63/16.90  (step @p247 :rule trans :premises (@p246 @p242))
% 16.63/16.90  (step @p248 :rule aci_norm :args ((= (or (or @t192 @t191) @t218) @t217)))
% 16.63/16.90  (step @p249 :rule refl :args (@t218))
% 16.63/16.90  (step @p250 :rule bool-and-de-morgan :args (@t49 @t48 true))
% 16.63/16.90  (step @p251 :rule nary_cong :premises (@p250 @p249) :args ((or (not @t50) @t218)))
% 16.63/16.90  (step @p252 :rule trans :premises (@p251 @p248))
% 16.63/16.90  (step @p253 :rule bool-impl-elim :args (@t50 @t218))
% 16.63/16.90  (step @p254 :rule trans :premises (@p253 @p252))
% 16.63/16.90  (step @p255 :rule cong :premises (@p254) :args ((forall @t52 (=> @t50 @t218))))
% 16.63/16.90  (step @p256 :rule trans :premises (@p255 @p247))
% 16.63/16.90  (step @p257 :rule quant-miniscope-or :args ((= (forall @t46 @t219) @t218)))
% 16.63/16.90  (step @p258 :rule aci_norm :args ((= @t220 @t219)))
% 16.63/16.90  (step @p259 :rule cong :premises (@p258) :args ((forall @t46 @t220)))
% 16.63/16.90  (step @p260 :rule trans :premises (@p259 @p257))
% 16.63/16.90  (step @p261 :rule aci_norm :args ((= (or (or @t210 @t209) @t221) @t220)))
% 16.63/16.90  (step @p262 :rule aci_norm :args ((= (or @t222 @t205) @t221)))
% 16.63/16.90  (step @p263 :rule refl :args (@t205))
% 16.63/16.90  (step @p264 :rule aci_norm :args ((= (or @t171 (or @t208 @t207)) @t222)))
% 16.63/16.90  (step @p265 :rule bool-and-de-morgan :args (@t38 @t206 true))
% 16.63/16.90  (step @p266 :rule nary_cong :premises (@p210 @p265) :args ((or @t171 (not (and @t38 @t206)))))
% 16.63/16.90  (step @p267 :rule bool-and-de-morgan :args (@t170 @t38 (and @t206)))
% 16.63/16.90  (step @p268 :rule trans :premises (@p267 @p266))
% 16.63/16.90  (step @p269 :rule trans :premises (@p268 @p264))
% 16.63/16.90  (step @p270 :rule nary_cong :premises (@p269 @p263) :args ((or (not @t223) @t205)))
% 16.63/16.90  (step @p271 :rule trans :premises (@p270 @p262))
% 16.63/16.90  (step @p272 :rule bool-impl-elim :args (@t223 @t205))
% 16.63/16.90  (step @p273 :rule trans :premises (@p272 @p271))
% 16.63/16.90  (step @p274 :rule bool-and-de-morgan :args (@t43 @t42 true))
% 16.63/16.90  (step @p275 :rule nary_cong :premises (@p274 @p273) :args ((or (not @t44) @t224)))
% 16.63/16.90  (step @p276 :rule trans :premises (@p275 @p261))
% 16.63/16.90  (step @p277 :rule bool-impl-elim :args (@t44 @t224))
% 16.63/16.90  (step @p278 :rule trans :premises (@p277 @p276))
% 16.63/16.90  (step @p279 :rule cong :premises (@p278) :args ((forall @t46 (=> @t44 @t224))))
% 16.63/16.90  (step @p280 :rule trans :premises (@p279 @p260))
% 16.63/16.90  (step @p281 :rule eq-symm :args (@t34 @t2))
% 16.63/16.90  (step @p282 :rule eq-symm :args (@t36 @t19))
% 16.63/16.90  (step @p283 :rule refl :args (@t38))
% 16.63/16.90  (step @p284 :rule eq-symm :args (@t39 @t1))
% 16.63/16.90  (step @p285 :rule nary_cong :premises (@p284 @p283 @p282) :args (@t40))
% 16.63/16.90  (step @p286 :rule cong :premises (@p285 @p281) :args (@t41))
% 16.63/16.90  (step @p287 :rule refl :args (@t44))
% 16.63/16.90  (step @p288 :rule cong :premises (@p287 @p286) :args (@t45))
% 16.63/16.90  (step @p289 :rule cong :premises (@p288) :args (@t47))
% 16.63/16.90  (step @p290 :rule trans :premises (@p289 @p280))
% 16.63/16.90  (step @p291 :rule refl :args (@t50))
% 16.63/16.90  (step @p292 :rule cong :premises (@p291 @p290) :args (@t51))
% 16.63/16.90  (step @p293 :rule cong :premises (@p292) :args (@t53))
% 16.63/16.90  (step @p294 :rule trans :premises (@p293 @p256))
% 16.63/16.90  (step @p295 :rule refl :args (@t54))
% 16.63/16.90  (step @p296 :rule cong :premises (@p295 @p294) :args (@t55))
% 16.63/16.90  (step @p297 :rule cong :premises (@p296) :args (@t56))
% 16.63/16.90  (step @p298 :rule trans :premises (@p297 @p227))
% 16.63/16.90  (step @p299 :rule eq_resolve :premises (@p21 @p298))
% 16.63/16.90  (step @p300 :rule refl :args (@t227))
% 16.63/16.90  (step @p301 :rule refl :args (@t230))
% 16.63/16.90  (step @p302 :rule refl :args (@t231))
% 16.63/16.90  (step @p303 :rule refl :args (@t232))
% 16.63/16.90  (step @p304 :rule nary_cong :premises (@p303 @p302 @p119 @p118 @p116 @p115 @p301 @p300 @p112) :args (@t233))
% 16.63/16.90  (step @p305 :rule refl :args (@t234))
% 16.63/16.90  (step @p306 :rule cong :premises (@p305 @p304) :args ((=> @t234 @t233)))
% 16.63/16.90  (assume-push @p384 @t234)
% 16.63/16.90  (step @p308 :rule instantiate :premises (@p299) :args ((@list @t115 @t114 @t116)))
% 16.63/16.90  (step-pop @p385 :rule scope :premises (@p308))
% 16.63/16.90  (step @p309 :rule process_scope :premises (@p385) :args (@t233))
% 16.63/16.90  (step @p311 :rule eq_resolve :premises (@p309 @p306))
% 16.63/16.90  (step @p312 :rule implies_elim :premises (@p311))
% 16.63/16.90  (step @p313 :rule chain_m_resolution :premises (@p312 @p299) :args (@t235 @t151 (@list @t234)))
% 16.63/16.90  (step @p314 :rule aci_norm :args ((= (or @t105 (or @t84 @t62)) (or @t86 @t85 @t84 @t62))))
% 16.63/16.90  (step @p315 :rule bool-impl-elim :args (@t9 @t62))
% 16.63/16.90  (step @p316 :rule nary_cong :premises (@p72 @p315) :args ((or @t106 @t63)))
% 16.63/16.90  (step @p317 :rule trans :premises (@p316 @p314))
% 16.63/16.90  (step @p318 :rule bool-impl-elim :args (@t14 @t63))
% 16.63/16.90  (step @p319 :rule trans :premises (@p318 @p317))
% 16.63/16.90  (step @p320 :rule cong :premises (@p319) :args (@t64))
% 16.63/16.90  (step @p321 :rule eq_resolve :premises (@p37 @p320))
% 16.63/16.90  (step @p322 :rule instantiate :premises (@p321) :args (@t145))
% 16.63/16.90  (step @p323 :rule bool-double-not-elim :args (@t131))
% 16.63/16.90  (step @p324 :rule nary_cong :premises (@p133 @p323) :args ((or @t137 (not @t132))))
% 16.63/16.90  (step @p325 :rule cnf_or_neg :args (@t137 2))
% 16.63/16.90  (step @p326 :rule eq_resolve :premises (@p325 @p324))
% 16.63/16.90  (step @p327 :rule reordering :premises (@p326) :args ((or @t131 @t137)))
% 16.63/16.90  (step @p328 :rule chain_m_resolution :premises (@p327 @p131) :args (@t131 @t143 @t144))
% 16.63/16.90  (step @p329 :rule cnf_or_pos :args (@t238))
% 16.63/16.90  (step @p330 :rule reordering :premises (@p329) :args ((or @t136 @t134 @t132 @t237 (not @t238))))
% 16.63/16.90  (step @p331 :rule chain_m_resolution :premises (@p330 @p138 @p144 @p328 @p322) :args (@t237 @t239 (@list @t135 @t133 @t131 @t238)))
% 16.63/16.90  (step @p332 :rule cnf_and_pos :args (@t237 1))
% 16.63/16.90  (step @p333 :rule reordering :premises (@p332) :args ((or @t236 (not @t237))))
% 16.63/16.90  (step @p334 :rule chain_m_resolution :premises (@p333 @p331) :args (@t236 @t151 (@list @t237)))
% 16.63/16.90  (step @p335 :rule cong :premises (@p334) :args (@t120))
% 16.63/16.90  (step @p336 :rule bool-double-not-elim :args (@t121))
% 16.63/16.90  (step @p337 :rule nary_cong :premises (@p133 @p336) :args ((or @t137 (not @t122))))
% 16.63/16.90  (step @p338 :rule cnf_or_neg :args (@t137 6))
% 16.63/16.90  (step @p339 :rule eq_resolve :premises (@p338 @p337))
% 16.63/16.90  (step @p340 :rule reordering :premises (@p339) :args ((or @t121 @t137)))
% 16.63/16.90  (step @p341 :rule chain_m_resolution :premises (@p340 @p131) :args (@t121 @t143 @t144))
% 16.63/16.90  (step @p342 :rule symm :premises (@p341))
% 16.63/16.90  (step @p343 :rule trans :premises (@p342 @p335))
% 16.63/16.90  (step @p344 :rule bool-double-not-elim :args (@t125))
% 16.63/16.90  (step @p345 :rule nary_cong :premises (@p133 @p344) :args ((or @t137 (not @t126))))
% 16.63/16.90  (step @p346 :rule cnf_or_neg :args (@t137 5))
% 16.63/16.90  (step @p347 :rule eq_resolve :premises (@p346 @p345))
% 16.63/16.90  (step @p348 :rule reordering :premises (@p347) :args ((or @t125 @t137)))
% 16.63/16.90  (step @p349 :rule chain_m_resolution :premises (@p348 @p131) :args (@t125 @t143 @t144))
% 16.63/16.90  (step @p350 :rule cong :premises (@p349) :args (@t240))
% 16.63/16.90  (step @p351 :rule aci_norm :args ((= (or @t105 (or @t84 @t66)) @t241)))
% 16.63/16.90  (step @p352 :rule bool-impl-elim :args (@t9 @t66))
% 16.63/16.90  (step @p353 :rule nary_cong :premises (@p72 @p352) :args ((or @t106 @t67)))
% 16.63/16.90  (step @p354 :rule trans :premises (@p353 @p351))
% 16.63/16.90  (step @p355 :rule bool-impl-elim :args (@t14 @t67))
% 16.63/16.90  (step @p356 :rule trans :premises (@p355 @p354))
% 16.63/16.90  (step @p357 :rule cong :premises (@p356) :args (@t68))
% 16.63/16.90  (step @p358 :rule eq_resolve :premises (@p39 @p357))
% 16.63/16.90  (step @p359 :rule refl :args (@t242))
% 16.63/16.90  (step @p360 :rule eq-symm :args (@t243 @t120))
% 16.63/16.90  (step @p361 :rule nary_cong :premises (@p360 @p359) :args (@t244))
% 16.63/16.90  (step @p362 :rule nary_cong :premises (@p119 @p118 @p117 @p361) :args (@t245))
% 16.63/16.90  (step @p363 :rule refl :args (@t246))
% 16.63/16.90  (step @p364 :rule cong :premises (@p363 @p362) :args ((=> @t246 @t245)))
% 16.63/16.90  (assume-push @p386 @t246)
% 16.63/16.90  (step @p366 :rule instantiate :premises (@p358) :args (@t145))
% 16.63/16.90  (step-pop @p387 :rule scope :premises (@p366))
% 16.63/16.90  (step @p367 :rule process_scope :premises (@p387) :args (@t245))
% 16.63/16.90  (step @p369 :rule eq_resolve :premises (@p367 @p364))
% 16.63/16.90  (step @p370 :rule implies_elim :premises (@p369))
% 16.63/16.90  (step @p371 :rule chain_m_resolution :premises (@p370 @p358) :args (@t248 @t151 (@list @t246)))
% 16.63/16.90  (step @p372 :rule cnf_or_pos :args (@t248))
% 16.63/16.90  (step @p373 :rule reordering :premises (@p372) :args ((or @t136 @t134 @t132 @t247 (not @t248))))
% 16.63/16.90  (step @p374 :rule chain_m_resolution :premises (@p373 @p138 @p144 @p328 @p371) :args (@t247 @t239 (@list @t135 @t133 @t131 @t248)))
% 16.63/16.90  (step @p375 :rule cnf_and_pos :args (@t247 1))
% 16.63/16.90  (step @p376 :rule reordering :premises (@p375) :args ((or @t242 (not @t247))))
% 16.63/16.90  (step @p377 :rule chain_m_resolution :premises (@p376 @p374) :args (@t242 @t151 (@list @t247)))
% 16.63/16.90  (step @p378 :rule trans :premises (@p377 @p350))
% 16.63/16.90  (step @p379 :rule cnf_or_pos :args (@t235))
% 16.63/16.90  (step @p380 :rule reordering :premises (@p379) :args ((or @t136 @t134 @t130 @t128 @t117 @t232 @t231 @t230 @t227 (not @t235))))
% 16.63/16.90  (step @p381 false :rule chain_m_resolution :premises (@p380 @p378 @p343 @p313 @p176 @p173 @p158 @p156 @p150 @p144 @p138) :args (false (@list false false false false false true false false false false) (@list @t229 @t226 @t235 @t146 @t147 @t117 @t127 @t129 @t133 @t135)))
% 16.63/16.90  )
% 16.63/16.90  % SZS output end Proof
% 16.63/16.90  % cvc5 exiting
%------------------------------------------------------------------------------