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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : NUM402+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 : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:39:19 AM UTC 2026

% Result   : Theorem 37.73s 37.96s
% Output   : Proof 37.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM402+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
% 0.16/0.34  % Computer : n014.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % 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 11:16:58 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.31/0.50  %----Proving TF0_NAR, FOF, or CNF
% 37.73/37.96  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 37.73/37.96  --- Run --no-e-matching --full-saturate-quant at 6...
% 37.73/37.96  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 37.73/37.96  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 37.73/37.96  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 37.73/37.96  % SZS status Theorem
% 37.73/37.96  % SZS output start Proof
% 37.73/37.96  (
% 37.73/37.96  (declare-sort $$unsorted 0)
% 37.73/37.96  (declare-const tptp.powerset (-> $$unsorted $$unsorted))
% 37.73/37.96  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 37.73/37.96  (declare-const tptp.epsilon_transitive (-> $$unsorted Bool))
% 37.73/37.96  (declare-const tptp.function (-> $$unsorted Bool))
% 37.73/37.96  (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool))
% 37.73/37.96  (declare-const tptp.empty (-> $$unsorted Bool))
% 37.73/37.96  (declare-const tptp.epsilon_connected (-> $$unsorted Bool))
% 37.73/37.96  (declare-const tptp.union (-> $$unsorted $$unsorted))
% 37.73/37.96  (declare-const tptp.ordinal (-> $$unsorted Bool))
% 37.73/37.96  (declare-const tptp.empty_set $$unsorted)
% 37.73/37.96  (declare-const tptp.one_to_one (-> $$unsorted Bool))
% 37.73/37.96  (declare-const tptp.element (-> $$unsorted $$unsorted Bool))
% 37.73/37.96  (declare-const tptp.relation (-> $$unsorted Bool))
% 37.73/37.96  (declare-const tptp.relation_non_empty (-> $$unsorted Bool))
% 37.73/37.96  (declare-const tptp.subset (-> $$unsorted $$unsorted Bool))
% 37.73/37.96  (define @t1 () (@var "A" $$unsorted))
% 37.73/37.96  (define @t2 () (@var "B" $$unsorted))
% 37.73/37.96  (define @t3 () (tptp.in @t2 @t1))
% 37.73/37.96  (define @t4 () (not @t3))
% 37.73/37.96  (define @t5 () (tptp.in @t1 @t2))
% 37.73/37.96  (define @t6 () (@list @t1 @t2))
% 37.73/37.96  (define @t7 () (forall @t6 (=> @t5 @t4)))
% 37.73/37.96  (define @t8 () (tptp.function @t1))
% 37.73/37.96  (define @t9 () (tptp.empty @t1))
% 37.73/37.96  (define @t10 () (@list @t1))
% 37.73/37.96  (define @t11 () (tptp.epsilon_connected @t1))
% 37.73/37.96  (define @t12 () (tptp.epsilon_transitive @t1))
% 37.73/37.96  (define @t13 () (and @t12 @t11))
% 37.73/37.96  (define @t14 () (tptp.ordinal @t1))
% 37.73/37.96  (define @t15 () (tptp.relation @t1))
% 37.73/37.96  (define @t16 () (tptp.one_to_one @t1))
% 37.73/37.96  (define @t17 () (and @t15 @t8 @t16))
% 37.73/37.96  (define @t18 () (and @t15 @t9 @t8))
% 37.73/37.96  (define @t19 () (forall @t10 (=> @t13 @t14)))
% 37.73/37.96  (define @t20 () (and @t12 @t11 @t14))
% 37.73/37.96  (define @t21 () (tptp.subset @t2 @t1))
% 37.73/37.96  (define @t22 () (@list @t2))
% 37.73/37.96  (define @t23 () (forall @t22 (=> @t3 @t21)))
% 37.73/37.96  (define @t24 () (= @t12 @t23))
% 37.73/37.96  (define @t25 () (forall @t10 @t24))
% 37.73/37.96  (define @t26 () (@var "C" $$unsorted))
% 37.73/37.96  (define @t27 () (tptp.in @t26 @t2))
% 37.73/37.96  (define @t28 () (not @t27))
% 37.73/37.96  (define @t29 () (= @t2 @t26))
% 37.73/37.96  (define @t30 () (not @t29))
% 37.73/37.96  (define @t31 () (tptp.in @t2 @t26))
% 37.73/37.96  (define @t32 () (not @t31))
% 37.73/37.96  (define @t33 () (tptp.in @t26 @t1))
% 37.73/37.96  (define @t34 () (@list @t2 @t26))
% 37.73/37.96  (define @t35 () (forall @t34 (not (and @t3 @t33 @t32 @t30 @t28))))
% 37.73/37.96  (define @t36 () (= @t11 @t35))
% 37.73/37.96  (define @t37 () (forall @t10 @t36))
% 37.73/37.96  (define @t38 () (@list @t26))
% 37.73/37.96  (define @t39 () (forall @t38 (=> @t33 @t27)))
% 37.73/37.96  (define @t40 () (tptp.subset @t1 @t2))
% 37.73/37.96  (define @t41 () (= @t40 @t39))
% 37.73/37.96  (define @t42 () (forall @t6 @t41))
% 37.73/37.96  (define @t43 () (@var "D" $$unsorted))
% 37.73/37.96  (define @t44 () (tptp.in @t43 @t1))
% 37.73/37.96  (define @t45 () (tptp.in @t26 @t43))
% 37.73/37.96  (define @t46 () (and @t45 @t44))
% 37.73/37.96  (define @t47 () (@list @t43))
% 37.73/37.96  (define @t48 () (exists @t47 @t46))
% 37.73/37.96  (define @t49 () (= @t27 @t48))
% 37.73/37.96  (define @t50 () (forall @t38 @t49))
% 37.73/37.96  (define @t51 () (tptp.union @t1))
% 37.73/37.96  (define @t52 () (= @t2 @t51))
% 37.73/37.96  (define @t53 () (= @t52 @t50))
% 37.73/37.96  (define @t54 () (forall @t6 @t53))
% 37.73/37.96  (define @t55 () (tptp.relation_empty_yielding tptp.empty_set))
% 37.73/37.96  (define @t56 () (tptp.relation tptp.empty_set))
% 37.73/37.96  (define @t57 () (tptp.empty tptp.empty_set))
% 37.73/37.96  (define @t58 () (tptp.ordinal @t51))
% 37.73/37.96  (define @t59 () (not @t9))
% 37.73/37.96  (define @t60 () (tptp.relation_empty_yielding @t1))
% 37.73/37.96  (define @t61 () (tptp.element @t1 @t2))
% 37.73/37.96  (define @t62 () (=> @t5 @t14))
% 37.73/37.96  (define @t63 () (tptp.ordinal @t2))
% 37.73/37.96  (define @t64 () (forall @t6 (=> @t63 @t62)))
% 37.73/37.96  (define @t65 () (= @t1 @t2))
% 37.73/37.96  (define @t66 () (not @t65))
% 37.73/37.96  (define @t67 () (not @t5))
% 37.73/37.96  (define @t68 () (not (and @t67 @t66 @t4)))
% 37.73/37.96  (define @t69 () (forall @t22 (=> @t63 @t68)))
% 37.73/37.96  (define @t70 () (=> @t14 @t69))
% 37.73/37.96  (define @t71 () (forall @t10 @t70))
% 37.73/37.96  (define @t72 () (tptp.empty @t2))
% 37.73/37.96  (define @t73 () (or @t72 @t5))
% 37.73/37.96  (define @t74 () (forall @t6 (=> @t61 @t73)))
% 37.73/37.96  (define @t75 () (forall @t22 (=> @t3 @t63)))
% 37.73/37.96  (define @t76 () (=> @t75 @t58))
% 37.73/37.96  (define @t77 () (forall @t10 @t76))
% 37.73/37.96  (define @t78 () (not @t77))
% 37.73/37.96  (define @t79 () (tptp.element @t1 (tptp.powerset @t2)))
% 37.73/37.96  (define @t80 () (forall @t6 (= @t79 @t40)))
% 37.73/37.96  (define @t81 () (tptp.element @t1 @t26))
% 37.73/37.96  (define @t82 () (tptp.element @t2 (tptp.powerset @t26)))
% 37.73/37.96  (define @t83 () (and @t5 @t82))
% 37.73/37.96  (define @t84 () (@list @t1 @t2 @t26))
% 37.73/37.96  (define @t85 () (forall @t84 (=> @t83 @t81)))
% 37.73/37.96  (define @t86 () (forall @t6 (not (and @t5 @t72))))
% 37.73/37.96  (define @t87 () (not @t33))
% 37.73/37.96  (define @t88 () (not @t28))
% 37.73/37.96  (define @t89 () (not @t30))
% 37.73/37.96  (define @t90 () (not @t32))
% 37.73/37.96  (define @t91 () (or @t4 @t87 @t90 @t89 @t88))
% 37.73/37.96  (define @t92 () (forall @t22 (or @t4 @t63)))
% 37.73/37.96  (define @t93 () (@quantifiers_skolemize (forall @t10 (or (not @t92) @t58)) 0))
% 37.73/37.96  (define @t94 () (tptp.union @t93))
% 37.73/37.96  (define @t95 () (@list @t94))
% 37.73/37.96  (define @t96 () (not @t11))
% 37.73/37.96  (define @t97 () (not @t12))
% 37.73/37.96  (define @t98 () (not (tptp.in @t2 @t94)))
% 37.73/37.96  (define @t99 () (forall @t22 (or @t98 (tptp.subset @t2 @t94))))
% 37.73/37.96  (define @t100 () (@quantifiers_skolemize @t99 0))
% 37.73/37.96  (define @t101 () (tptp.in @t100 @t94))
% 37.73/37.96  (define @t102 () (tptp.subset @t100 @t94))
% 37.73/37.96  (define @t103 () (not @t101))
% 37.73/37.96  (define @t104 () (or @t103 @t102))
% 37.73/37.96  (define @t105 () (forall @t47 (not @t46)))
% 37.73/37.96  (define @t106 () (not @t105))
% 37.73/37.96  (define @t107 () (not (tptp.in @t43 @t93)))
% 37.73/37.96  (define @t108 () (not @t45))
% 37.73/37.96  (define @t109 () (tptp.in @t26 @t94))
% 37.73/37.96  (define @t110 () (forall @t38 (= @t109 (not (forall @t47 (or @t108 @t107))))))
% 37.73/37.96  (define @t111 () (= (= @t94 @t94) @t110))
% 37.73/37.96  (define @t112 () (forall @t6 (= @t52 (forall @t38 (= @t27 (not (forall @t47 (or @t108 (not @t44)))))))))
% 37.73/37.96  (define @t113 () (@list false))
% 37.73/37.96  (define @t114 () (@list @t100))
% 37.73/37.96  (define @t115 () (forall @t47 (or (not (tptp.in @t100 @t43)) @t107)))
% 37.73/37.96  (define @t116 () (not @t115))
% 37.73/37.96  (define @t117 () (= @t101 @t116))
% 37.73/37.96  (define @t118 () (forall @t38 (or (not (tptp.in @t26 @t100)) @t109)))
% 37.73/37.96  (define @t119 () (= @t102 @t118))
% 37.73/37.96  (define @t120 () (not @t118))
% 37.73/37.96  (define @t121 () (@quantifiers_skolemize @t115 0))
% 37.73/37.96  (define @t122 () (tptp.in @t121 @t93))
% 37.73/37.96  (define @t123 () (not @t122))
% 37.73/37.96  (define @t124 () (tptp.in @t100 @t121))
% 37.73/37.96  (define @t125 () (not @t124))
% 37.73/37.96  (define @t126 () (or @t125 @t123))
% 37.73/37.96  (define @t127 () (not @t126))
% 37.73/37.96  (define @t128 () (@quantifiers_skolemize @t118 0))
% 37.73/37.96  (define @t129 () (tptp.in @t128 @t94))
% 37.73/37.96  (define @t130 () (tptp.in @t128 @t100))
% 37.73/37.96  (define @t131 () (not @t130))
% 37.73/37.96  (define @t132 () (or @t131 @t129))
% 37.73/37.96  (define @t133 () (not @t132))
% 37.73/37.96  (define @t134 () (@list @t100 @t121))
% 37.73/37.96  (define @t135 () (tptp.in @t121 @t100))
% 37.73/37.96  (define @t136 () (not @t135))
% 37.73/37.96  (define @t137 () (or @t125 @t136))
% 37.73/37.96  (define @t138 () (forall @t22 (or (not (tptp.in @t2 @t93)) @t63)))
% 37.73/37.96  (define @t139 () (tptp.ordinal @t94))
% 37.73/37.96  (define @t140 () (not @t138))
% 37.73/37.96  (define @t141 () (or @t140 @t139))
% 37.73/37.96  (define @t142 () (@list true))
% 37.73/37.96  (define @t143 () (@list @t141))
% 37.73/37.96  (define @t144 () (@list @t121))
% 37.73/37.96  (define @t145 () (tptp.ordinal @t121))
% 37.73/37.96  (define @t146 () (or @t123 @t145))
% 37.73/37.96  (define @t147 () (@list @t128 @t100))
% 37.73/37.96  (define @t148 () (tptp.in @t100 @t128))
% 37.73/37.96  (define @t149 () (not @t148))
% 37.73/37.96  (define @t150 () (or @t131 @t149))
% 37.73/37.96  (define @t151 () (tptp.empty @t100))
% 37.73/37.96  (define @t152 () (not @t151))
% 37.73/37.96  (define @t153 () (or @t131 @t152))
% 37.73/37.96  (define @t154 () (@list @t128))
% 37.73/37.96  (define @t155 () (forall @t47 (or (not (tptp.in @t128 @t43)) @t107)))
% 37.73/37.96  (define @t156 () (not @t155))
% 37.73/37.96  (define @t157 () (= @t129 @t156))
% 37.73/37.96  (define @t158 () (not @t157))
% 37.73/37.96  (define @t159 () (not @t63))
% 37.73/37.96  (define @t160 () (tptp.ordinal @t100))
% 37.73/37.96  (define @t161 () (not @t145))
% 37.73/37.96  (define @t162 () (or @t161 @t125 @t160))
% 37.73/37.96  (define @t163 () (not @t61))
% 37.73/37.96  (define @t164 () (tptp.element @t121 @t100))
% 37.73/37.96  (define @t165 () (not @t164))
% 37.73/37.96  (define @t166 () (or @t165 @t151 @t135))
% 37.73/37.96  (define @t167 () (tptp.in @t128 @t121))
% 37.73/37.96  (define @t168 () (not @t167))
% 37.73/37.96  (define @t169 () (or @t168 @t123))
% 37.73/37.96  (define @t170 () (tptp.ordinal @t128))
% 37.73/37.96  (define @t171 () (not @t160))
% 37.73/37.96  (define @t172 () (or @t171 @t131 @t170))
% 37.73/37.96  (define @t173 () (tptp.epsilon_transitive @t100))
% 37.73/37.96  (define @t174 () (and @t173 (tptp.epsilon_connected @t100)))
% 37.73/37.96  (define @t175 () (= @t160 @t174))
% 37.73/37.96  (define @t176 () (forall @t22 (or (not (tptp.in @t2 @t100)) (tptp.subset @t2 @t100))))
% 37.73/37.96  (define @t177 () (= @t173 @t176))
% 37.73/37.96  (define @t178 () (tptp.subset @t128 @t100))
% 37.73/37.96  (define @t179 () (or @t131 @t178))
% 37.73/37.96  (define @t180 () (tptp.element @t128 (tptp.powerset @t100)))
% 37.73/37.96  (define @t181 () (= @t178 @t180))
% 37.73/37.96  (define @t182 () (not @t82))
% 37.73/37.96  (define @t183 () (not @t180))
% 37.73/37.96  (define @t184 () (tptp.in @t121 @t128))
% 37.73/37.96  (define @t185 () (not @t184))
% 37.73/37.96  (define @t186 () (or @t185 @t183 @t164))
% 37.73/37.96  (define @t187 () (@var "BOUND_VARIABLE_7767" $$unsorted))
% 37.73/37.96  (define @t188 () (tptp.in @t187 @t1))
% 37.73/37.96  (define @t189 () (= @t1 @t187))
% 37.73/37.96  (define @t190 () (tptp.in @t1 @t187))
% 37.73/37.96  (define @t191 () (not (tptp.ordinal @t187)))
% 37.73/37.96  (define @t192 () (not @t14))
% 37.73/37.96  (define @t193 () (or @t191 @t190 @t189 @t188))
% 37.73/37.96  (define @t194 () (or @t192 @t193))
% 37.73/37.96  (define @t195 () (forall (@list @t1 @t187) @t194))
% 37.73/37.96  (define @t196 () (@list @t187))
% 37.73/37.96  (define @t197 () (forall @t196 @t194))
% 37.73/37.96  (define @t198 () (forall @t196 @t193))
% 37.73/37.96  (define @t199 () (or @t192 @t198))
% 37.73/37.96  (define @t200 () (or @t159 @t5 @t65 @t3))
% 37.73/37.96  (define @t201 () (forall @t22 @t200))
% 37.73/37.96  (define @t202 () (not @t4))
% 37.73/37.96  (define @t203 () (not @t66))
% 37.73/37.96  (define @t204 () (not @t67))
% 37.73/37.96  (define @t205 () (or @t204 @t203 @t202))
% 37.73/37.96  (define @t206 () (= @t128 @t121))
% 37.73/37.96  (define @t207 () (not @t170))
% 37.73/37.96  (define @t208 () (or @t207 @t161 @t167 @t206 @t184))
% 37.73/37.96  (define @t209 () (not @t206))
% 37.73/37.96  (define @t210 () (and @t149 @t206 @t124))
% 37.73/37.96  (define @t211 () (not @t104))
% 37.73/37.96  (define @t212 () (not @t99))
% 37.73/37.96  (define @t213 () (tptp.epsilon_transitive @t94))
% 37.73/37.96  (define @t214 () (= @t213 @t99))
% 37.73/37.96  (define @t215 () (@list false false))
% 37.73/37.96  (define @t216 () (tptp.epsilon_connected @t94))
% 37.73/37.96  (define @t217 () (not @t216))
% 37.73/37.96  (define @t218 () (not @t213))
% 37.73/37.96  (define @t219 () (or @t218 @t217 @t139))
% 37.73/37.96  (define @t220 () (forall @t34 (or @t98 (not @t109) @t31 @t29 @t27)))
% 37.73/37.96  (define @t221 () (= @t216 @t220))
% 37.73/37.96  (define @t222 () (not @t220))
% 37.73/37.96  (define @t223 () (@quantifiers_skolemize @t220 0))
% 37.73/37.96  (define @t224 () (@quantifiers_skolemize @t220 1))
% 37.73/37.96  (define @t225 () (tptp.in @t224 @t223))
% 37.73/37.96  (define @t226 () (= @t223 @t224))
% 37.73/37.96  (define @t227 () (tptp.in @t223 @t224))
% 37.73/37.96  (define @t228 () (tptp.in @t224 @t94))
% 37.73/37.96  (define @t229 () (not @t228))
% 37.73/37.96  (define @t230 () (tptp.in @t223 @t94))
% 37.73/37.96  (define @t231 () (not @t230))
% 37.73/37.96  (define @t232 () (or @t231 @t229 @t227 @t226 @t225))
% 37.73/37.96  (define @t233 () (not @t232))
% 37.73/37.96  (define @t234 () (@list @t232))
% 37.73/37.96  (define @t235 () (forall @t47 (or (not (tptp.in @t223 @t43)) @t107)))
% 37.73/37.96  (define @t236 () (@quantifiers_skolemize @t235 0))
% 37.73/37.96  (define @t237 () (not @t235))
% 37.73/37.96  (define @t238 () (= @t230 @t237))
% 37.73/37.96  (define @t239 () (tptp.in @t236 @t93))
% 37.73/37.96  (define @t240 () (not @t239))
% 37.73/37.96  (define @t241 () (tptp.in @t223 @t236))
% 37.73/37.96  (define @t242 () (not @t241))
% 37.73/37.96  (define @t243 () (or @t242 @t240))
% 37.73/37.96  (define @t244 () (not @t243))
% 37.73/37.96  (define @t245 () (@list @t243))
% 37.73/37.96  (define @t246 () (tptp.ordinal @t236))
% 37.73/37.96  (define @t247 () (or @t240 @t246))
% 37.73/37.96  (define @t248 () (tptp.ordinal @t223))
% 37.73/37.96  (define @t249 () (not @t246))
% 37.73/37.96  (define @t250 () (or @t249 @t242 @t248))
% 37.73/37.96  (define @t251 () (@list false false false))
% 37.73/37.96  (define @t252 () (forall @t47 (or (not (tptp.in @t224 @t43)) @t107)))
% 37.73/37.96  (define @t253 () (@quantifiers_skolemize @t252 0))
% 37.73/37.96  (define @t254 () (not @t252))
% 37.73/37.96  (define @t255 () (= @t228 @t254))
% 37.73/37.96  (define @t256 () (tptp.in @t253 @t93))
% 37.73/37.96  (define @t257 () (not @t256))
% 37.73/37.96  (define @t258 () (tptp.in @t224 @t253))
% 37.73/37.96  (define @t259 () (not @t258))
% 37.73/37.96  (define @t260 () (or @t259 @t257))
% 37.73/37.96  (define @t261 () (not @t260))
% 37.73/37.96  (define @t262 () (@list @t260))
% 37.73/37.96  (define @t263 () (tptp.ordinal @t253))
% 37.73/37.96  (define @t264 () (or @t257 @t263))
% 37.73/37.96  (define @t265 () (tptp.ordinal @t224))
% 37.73/37.96  (define @t266 () (not @t263))
% 37.73/37.96  (define @t267 () (or @t266 @t259 @t265))
% 37.73/37.96  (define @t268 () (not @t265))
% 37.73/37.96  (define @t269 () (not @t248))
% 37.73/37.96  (define @t270 () (or @t269 @t268 @t227 @t226 @t225))
% 37.73/37.96  (assume @p1 @t7)
% 37.73/37.96  (assume @p2 (forall @t10 (=> @t9 @t8)))
% 37.73/37.96  (assume @p3 (forall @t10 (=> @t14 @t13)))
% 37.73/37.96  (assume @p4 (forall @t10 (=> @t9 @t15)))
% 37.73/37.96  (assume @p5 (forall @t10 (=> @t18 @t17)))
% 37.73/37.96  (assume @p6 @t19)
% 37.73/37.96  (assume @p7 (forall @t10 (=> @t9 @t20)))
% 37.73/37.96  (assume @p8 @t25)
% 37.73/37.96  (assume @p9 @t37)
% 37.73/37.96  (assume @p10 @t42)
% 37.73/37.96  (assume @p11 (forall @t10 (= @t14 @t13)))
% 37.73/37.96  (assume @p12 @t54)
% 37.73/37.96  (assume @p13 (forall @t10 (exists @t22 (tptp.element @t2 @t1))))
% 37.73/37.96  (assume @p14 (and @t57 @t56 @t55))
% 37.73/37.96  (assume @p15 @t57)
% 37.73/37.96  (assume @p16 (and @t56 @t55 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t57 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set)))
% 37.73/37.96  (assume @p17 (forall @t10 (=> @t14 (and (tptp.epsilon_transitive @t51) (tptp.epsilon_connected @t51) @t58))))
% 37.73/37.96  (assume @p18 (and @t57 @t56))
% 37.73/37.96  (assume @p19 (exists @t10 (and @t15 @t8)))
% 37.73/37.96  (assume @p20 (exists @t10 @t20))
% 37.73/37.96  (assume @p21 (exists @t10 (and @t9 @t15)))
% 37.73/37.96  (assume @p22 (exists @t10 @t9))
% 37.73/37.96  (assume @p23 (exists @t10 @t18))
% 37.73/37.96  (assume @p24 (exists @t10 (and @t15 @t8 @t16 @t9 @t12 @t11 @t14)))
% 37.73/37.96  (assume @p25 (exists @t10 (and @t59 @t15)))
% 37.73/37.96  (assume @p26 (exists @t10 @t59))
% 37.73/37.96  (assume @p27 (exists @t10 @t17))
% 37.73/37.96  (assume @p28 (exists @t10 (and @t59 @t12 @t11 @t14)))
% 37.73/37.96  (assume @p29 (exists @t10 (and @t15 @t60)))
% 37.73/37.96  (assume @p30 (exists @t10 (and @t15 @t60 @t8)))
% 37.73/37.96  (assume @p31 (exists @t10 (and @t15 (tptp.relation_non_empty @t1) @t8)))
% 37.73/37.96  (assume @p32 (forall @t6 (tptp.subset @t1 @t1)))
% 37.73/37.96  (assume @p33 (forall @t6 (=> @t5 @t61)))
% 37.73/37.96  (assume @p34 @t64)
% 37.73/37.96  (assume @p35 @t71)
% 37.73/37.96  (assume @p36 @t74)
% 37.73/37.96  (assume @p37 @t78)
% 37.73/37.96  (assume @p38 @t80)
% 37.73/37.96  (assume @p39 @t85)
% 37.73/37.96  (assume @p40 (forall @t84 (not (and @t5 @t82 (tptp.empty @t26)))))
% 37.73/37.96  (assume @p41 (forall @t10 (=> @t9 (= @t1 tptp.empty_set))))
% 37.73/37.96  (assume @p42 @t86)
% 37.73/37.96  (assume @p43 (forall @t6 (not (and @t9 @t66 @t72))))
% 37.73/37.96  (assume @p44 true)
% 37.73/37.96  (step @p45 :rule bool-double-not-elim :args (@t27))
% 37.73/37.96  (step @p46 :rule bool-double-not-elim :args (@t29))
% 37.73/37.96  (step @p47 :rule bool-double-not-elim :args (@t31))
% 37.73/37.96  (step @p48 :rule refl :args (@t87))
% 37.73/37.96  (step @p49 :rule refl :args (@t4))
% 37.73/37.96  (step @p50 :rule nary_cong :premises (@p49 @p48 @p47 @p46 @p45) :args (@t91))
% 37.73/37.96  (step @p51 :rule aci_norm :args ((= (or @t4 (or @t87 (or @t90 (or @t89 @t88)))) @t91)))
% 37.73/37.96  (step @p52 :rule trans :premises (@p51 @p50))
% 37.73/37.96  (step @p53 :rule bool-and-de-morgan :args (@t30 @t28 true))
% 37.73/37.96  (step @p54 :rule refl :args (@t90))
% 37.73/37.96  (step @p55 :rule nary_cong :premises (@p54 @p53) :args ((or @t90 (not (and @t30 @t28)))))
% 37.73/37.96  (step @p56 :rule bool-and-de-morgan :args (@t32 @t30 (and @t28)))
% 37.73/37.96  (step @p57 :rule trans :premises (@p56 @p55))
% 37.73/37.96  (step @p58 :rule nary_cong :premises (@p48 @p57) :args ((or @t87 (not (and @t32 @t30 @t28)))))
% 37.73/37.96  (step @p59 :rule bool-and-de-morgan :args (@t33 @t32 (and @t30 @t28)))
% 37.73/37.96  (step @p60 :rule trans :premises (@p59 @p58))
% 37.73/37.96  (step @p61 :rule nary_cong :premises (@p49 @p60) :args ((or @t4 (not (and @t33 @t32 @t30 @t28)))))
% 37.73/37.96  (step @p62 :rule bool-and-de-morgan :args (@t3 @t33 (and @t32 @t30 @t28)))
% 37.73/37.96  (step @p63 :rule trans :premises (@p62 @p61))
% 37.73/37.96  (step @p64 :rule trans :premises (@p63 @p52))
% 37.73/37.96  (step @p65 :rule cong :premises (@p64) :args (@t35))
% 37.73/37.96  (step @p66 :rule refl :args (@t11))
% 37.73/37.96  (step @p67 :rule cong :premises (@p66 @p65) :args (@t36))
% 37.73/37.96  (step @p68 :rule cong :premises (@p67) :args (@t37))
% 37.73/37.96  (step @p69 :rule eq_resolve :premises (@p9 @p68))
% 37.73/37.96  (step @p70 :rule instantiate :premises (@p69) :args (@t95))
% 37.73/37.96  (step @p71 :rule aci_norm :args ((= (or (or @t97 @t96) @t14) (or @t97 @t96 @t14))))
% 37.73/37.96  (step @p72 :rule refl :args (@t14))
% 37.73/37.96  (step @p73 :rule bool-and-de-morgan :args (@t12 @t11 true))
% 37.73/37.96  (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or (not @t13) @t14)))
% 37.73/37.96  (step @p75 :rule trans :premises (@p74 @p71))
% 37.73/37.96  (step @p76 :rule bool-impl-elim :args (@t13 @t14))
% 37.73/37.96  (step @p77 :rule trans :premises (@p76 @p75))
% 37.73/37.96  (step @p78 :rule cong :premises (@p77) :args (@t19))
% 37.73/37.96  (step @p79 :rule eq_resolve :premises (@p6 @p78))
% 37.73/37.96  (step @p80 :rule instantiate :premises (@p79) :args (@t95))
% 37.73/37.96  (step @p81 :rule bool-impl-elim :args (@t3 @t21))
% 37.73/37.96  (step @p82 :rule cong :premises (@p81) :args (@t23))
% 37.73/37.96  (step @p83 :rule refl :args (@t12))
% 37.73/37.96  (step @p84 :rule cong :premises (@p83 @p82) :args (@t24))
% 37.73/37.96  (step @p85 :rule cong :premises (@p84) :args (@t25))
% 37.73/37.96  (step @p86 :rule eq_resolve :premises (@p8 @p85))
% 37.73/37.96  (step @p87 :rule instantiate :premises (@p86) :args (@t95))
% 37.73/37.96  (step @p88 :rule bool-double-not-elim :args (@t101))
% 37.73/37.96  (step @p89 :rule refl :args (@t104))
% 37.73/37.96  (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or @t104 (not @t103))))
% 37.73/37.96  (step @p91 :rule cnf_or_neg :args (@t104 0))
% 37.73/37.96  (step @p92 :rule eq_resolve :premises (@p91 @p90))
% 37.73/37.96  (step @p93 :rule reordering :premises (@p92) :args ((or @t101 @t104)))
% 37.73/37.96  (step @p94 :rule cnf_or_neg :args (@t104 1))
% 37.73/37.96  (step @p95 :rule bool-and-de-morgan :args (@t45 @t44 true))
% 37.73/37.96  (step @p96 :rule cong :premises (@p95) :args (@t105))
% 37.73/37.96  (step @p97 :rule cong :premises (@p96) :args (@t106))
% 37.73/37.96  (step @p98 :rule exists-elim :args ((= @t48 @t106)))
% 37.73/37.96  (step @p99 :rule trans :premises (@p98 @p97))
% 37.73/37.96  (step @p100 :rule refl :args (@t27))
% 37.73/37.96  (step @p101 :rule cong :premises (@p100 @p99) :args (@t49))
% 37.73/37.96  (step @p102 :rule cong :premises (@p101) :args (@t50))
% 37.73/37.96  (step @p103 :rule refl :args (@t52))
% 37.73/37.96  (step @p104 :rule cong :premises (@p103 @p102) :args (@t53))
% 37.73/37.96  (step @p105 :rule cong :premises (@p104) :args (@t54))
% 37.73/37.96  (step @p106 :rule eq_resolve :premises (@p12 @p105))
% 37.73/37.96  (step @p107 :rule bool-eq-true :args (@t110))
% 37.73/37.96  (step @p108 :rule eq-symm :args (true @t110))
% 37.73/37.96  (step @p109 :rule trans :premises (@p108 @p107))
% 37.73/37.96  (step @p110 :rule refl :args (@t110))
% 37.73/37.96  (step @p111 :rule eq-refl :args (@t94))
% 37.73/37.96  (step @p112 :rule cong :premises (@p111 @p110) :args (@t111))
% 37.73/37.96  (step @p113 :rule trans :premises (@p112 @p109))
% 37.73/37.96  (step @p114 :rule refl :args (@t112))
% 37.73/37.96  (step @p115 :rule cong :premises (@p114 @p113) :args ((=> @t112 @t111)))
% 37.73/37.96  (assume-push @p476 @t112)
% 37.73/37.96  (step @p117 :rule instantiate :premises (@p106) :args ((@list @t93 @t94)))
% 37.73/37.96  (step-pop @p477 :rule scope :premises (@p117))
% 37.73/37.96  (step @p118 :rule process_scope :premises (@p477) :args (@t111))
% 37.73/37.96  (step @p120 :rule eq_resolve :premises (@p118 @p115))
% 37.73/37.96  (step @p121 :rule implies_elim :premises (@p120))
% 37.73/37.96  (step @p122 :rule chain_m_resolution :premises (@p121 @p106) :args (@t110 @t113 (@list @t112)))
% 37.73/37.96  (step @p123 :rule instantiate :premises (@p122) :args (@t114))
% 37.73/37.96  (step @p124 :rule cnf_equiv_pos1 :args (@t117))
% 37.73/37.96  (step @p125 :rule reordering :premises (@p124) :args ((or @t103 @t116 (not @t117))))
% 37.73/37.96  (step @p126 :rule bool-impl-elim :args (@t33 @t27))
% 37.73/37.96  (step @p127 :rule cong :premises (@p126) :args (@t39))
% 37.73/37.96  (step @p128 :rule refl :args (@t40))
% 37.73/37.96  (step @p129 :rule cong :premises (@p128 @p127) :args (@t41))
% 37.73/37.96  (step @p130 :rule cong :premises (@p129) :args (@t42))
% 37.73/37.96  (step @p131 :rule eq_resolve :premises (@p10 @p130))
% 37.73/37.96  (step @p132 :rule instantiate :premises (@p131) :args ((@list @t100 @t94)))
% 37.73/37.96  (step @p133 :rule cnf_equiv_pos2 :args (@t119))
% 37.73/37.96  (step @p134 :rule reordering :premises (@p133) :args ((or @t102 @t120 (not @t119))))
% 37.73/37.96  (step @p135 :rule refl :args (@t127))
% 37.73/37.96  (step @p136 :rule bool-double-not-elim :args (@t115))
% 37.73/37.96  (step @p137 :rule nary_cong :premises (@p136 @p135) :args ((or (not @t116) @t127)))
% 37.73/37.96  (assume-push @p478 @t116)
% 37.73/37.96  (step @p139 :rule skolemize :premises (@p478))
% 37.73/37.96  (step-pop @p479 :rule scope :premises (@p139))
% 37.73/37.96  (step @p140 :rule process_scope :premises (@p479) :args (@t127))
% 37.73/37.96  (step @p142 :rule implies_elim :premises (@p140))
% 37.73/37.96  (step @p143 :rule eq_resolve :premises (@p142 @p137))
% 37.73/37.96  (step @p144 :rule refl :args (@t133))
% 37.73/37.96  (step @p145 :rule bool-double-not-elim :args (@t118))
% 37.73/37.96  (step @p146 :rule nary_cong :premises (@p145 @p144) :args ((or (not @t120) @t133)))
% 37.73/37.96  (assume-push @p480 @t120)
% 37.73/37.96  (step @p148 :rule skolemize :premises (@p480))
% 37.73/37.96  (step-pop @p481 :rule scope :premises (@p148))
% 37.73/37.96  (step @p149 :rule process_scope :premises (@p481) :args (@t133))
% 37.73/37.96  (step @p151 :rule implies_elim :premises (@p149))
% 37.73/37.96  (step @p152 :rule eq_resolve :premises (@p151 @p146))
% 37.73/37.96  (step @p153 :rule bool-double-not-elim :args (@t124))
% 37.73/37.96  (step @p154 :rule refl :args (@t126))
% 37.73/37.96  (step @p155 :rule nary_cong :premises (@p154 @p153) :args ((or @t126 (not @t125))))
% 37.73/37.96  (step @p156 :rule cnf_or_neg :args (@t126 0))
% 37.73/37.96  (step @p157 :rule eq_resolve :premises (@p156 @p155))
% 37.73/37.96  (step @p158 :rule reordering :premises (@p157) :args ((or @t124 @t126)))
% 37.73/37.96  (step @p159 :rule bool-double-not-elim :args (@t122))
% 37.73/37.96  (step @p160 :rule nary_cong :premises (@p154 @p159) :args ((or @t126 (not @t123))))
% 37.73/37.96  (step @p161 :rule cnf_or_neg :args (@t126 1))
% 37.73/37.96  (step @p162 :rule eq_resolve :premises (@p161 @p160))
% 37.73/37.96  (step @p163 :rule reordering :premises (@p162) :args ((or @t122 @t126)))
% 37.73/37.96  (step @p164 :rule bool-double-not-elim :args (@t130))
% 37.73/37.96  (step @p165 :rule refl :args (@t132))
% 37.73/37.96  (step @p166 :rule nary_cong :premises (@p165 @p164) :args ((or @t132 (not @t131))))
% 37.73/37.96  (step @p167 :rule cnf_or_neg :args (@t132 0))
% 37.73/37.96  (step @p168 :rule eq_resolve :premises (@p167 @p166))
% 37.73/37.96  (step @p169 :rule reordering :premises (@p168) :args ((or @t130 @t132)))
% 37.73/37.96  (step @p170 :rule cnf_or_neg :args (@t132 1))
% 37.73/37.96  (step @p171 :rule bool-impl-elim :args (@t5 @t4))
% 37.73/37.96  (step @p172 :rule cong :premises (@p171) :args (@t7))
% 37.73/37.96  (step @p173 :rule eq_resolve :premises (@p1 @p172))
% 37.73/37.96  (step @p174 :rule instantiate :premises (@p173) :args (@t134))
% 37.73/37.96  (step @p175 :rule cnf_or_pos :args (@t137))
% 37.73/37.96  (step @p176 :rule reordering :premises (@p175) :args ((or @t125 @t136 (not @t137))))
% 37.73/37.96  (step @p177 :rule bool-impl-elim :args (@t92 @t58))
% 37.73/37.96  (step @p178 :rule cong :premises (@p177) :args ((forall @t10 (=> @t92 @t58))))
% 37.73/37.96  (step @p179 :rule refl :args (@t58))
% 37.73/37.96  (step @p180 :rule bool-impl-elim :args (@t3 @t63))
% 37.73/37.96  (step @p181 :rule cong :premises (@p180) :args (@t75))
% 37.73/37.96  (step @p182 :rule cong :premises (@p181 @p179) :args (@t76))
% 37.73/37.96  (step @p183 :rule cong :premises (@p182) :args (@t77))
% 37.73/37.96  (step @p184 :rule trans :premises (@p183 @p178))
% 37.73/37.96  (step @p185 :rule cong :premises (@p184) :args (@t78))
% 37.73/37.96  (step @p186 :rule eq_resolve :premises (@p37 @p185))
% 37.73/37.96  (step @p187 :rule skolemize :premises (@p186))
% 37.73/37.96  (step @p188 :rule bool-double-not-elim :args (@t138))
% 37.73/37.96  (step @p189 :rule refl :args (@t141))
% 37.73/37.96  (step @p190 :rule nary_cong :premises (@p189 @p188) :args ((or @t141 (not @t140))))
% 37.73/37.96  (step @p191 :rule cnf_or_neg :args (@t141 0))
% 37.73/37.96  (step @p192 :rule eq_resolve :premises (@p191 @p190))
% 37.73/37.96  (step @p193 :rule reordering :premises (@p192) :args ((or @t138 @t141)))
% 37.73/37.96  (step @p194 :rule chain_m_resolution :premises (@p193 @p187) :args (@t138 @t142 @t143))
% 37.73/37.96  (step @p195 :rule instantiate :premises (@p194) :args (@t144))
% 37.73/37.96  (step @p196 :rule cnf_or_pos :args (@t146))
% 37.73/37.96  (step @p197 :rule reordering :premises (@p196) :args ((or @t123 @t145 (not @t146))))
% 37.73/37.96  (step @p198 :rule instantiate :premises (@p173) :args (@t147))
% 37.73/37.96  (step @p199 :rule cnf_or_pos :args (@t150))
% 37.73/37.96  (step @p200 :rule reordering :premises (@p199) :args ((or @t131 @t149 (not @t150))))
% 37.73/37.96  (step @p201 :rule bool-and-de-morgan :args (@t5 @t72 true))
% 37.73/37.96  (step @p202 :rule cong :premises (@p201) :args (@t86))
% 37.73/37.96  (step @p203 :rule eq_resolve :premises (@p42 @p202))
% 37.73/37.96  (step @p204 :rule instantiate :premises (@p203) :args (@t147))
% 37.73/37.96  (step @p205 :rule cnf_or_pos :args (@t153))
% 37.73/37.96  (step @p206 :rule reordering :premises (@p205) :args ((or @t131 @t152 (not @t153))))
% 37.73/37.96  (step @p207 :rule instantiate :premises (@p122) :args (@t154))
% 37.73/37.96  (step @p208 :rule bool-double-not-elim :args (@t155))
% 37.73/37.96  (step @p209 :rule refl :args (@t129))
% 37.73/37.96  (step @p210 :rule refl :args (@t158))
% 37.73/37.96  (step @p211 :rule nary_cong :premises (@p210 @p209 @p208) :args ((or @t158 @t129 (not @t156))))
% 37.73/37.96  (step @p212 :rule cnf_equiv_pos2 :args (@t157))
% 37.73/37.96  (step @p213 :rule eq_resolve :premises (@p212 @p211))
% 37.73/37.96  (step @p214 :rule reordering :premises (@p213) :args ((or @t129 @t155 @t158)))
% 37.73/37.96  (step @p215 :rule aci_norm :args ((= (or @t159 (or @t67 @t14)) (or @t159 @t67 @t14))))
% 37.73/37.96  (step @p216 :rule bool-impl-elim :args (@t5 @t14))
% 37.73/37.96  (step @p217 :rule refl :args (@t159))
% 37.73/37.96  (step @p218 :rule nary_cong :premises (@p217 @p216) :args ((or @t159 @t62)))
% 37.73/37.96  (step @p219 :rule trans :premises (@p218 @p215))
% 37.73/37.96  (step @p220 :rule bool-impl-elim :args (@t63 @t62))
% 37.73/37.96  (step @p221 :rule trans :premises (@p220 @p219))
% 37.73/37.96  (step @p222 :rule cong :premises (@p221) :args (@t64))
% 37.73/37.96  (step @p223 :rule eq_resolve :premises (@p34 @p222))
% 37.73/37.96  (step @p224 :rule instantiate :premises (@p223) :args (@t134))
% 37.73/37.96  (step @p225 :rule cnf_or_pos :args (@t162))
% 37.73/37.96  (step @p226 :rule reordering :premises (@p225) :args ((or @t160 @t125 @t161 (not @t162))))
% 37.73/37.96  (step @p227 :rule aci_norm :args ((= (or @t163 @t73) (or @t163 @t72 @t5))))
% 37.73/37.96  (step @p228 :rule bool-impl-elim :args (@t61 @t73))
% 37.73/37.96  (step @p229 :rule trans :premises (@p228 @p227))
% 37.73/37.96  (step @p230 :rule cong :premises (@p229) :args (@t74))
% 37.73/37.96  (step @p231 :rule eq_resolve :premises (@p36 @p230))
% 37.73/37.96  (step @p232 :rule instantiate :premises (@p231) :args ((@list @t121 @t100)))
% 37.73/37.96  (step @p233 :rule cnf_or_pos :args (@t166))
% 37.73/37.96  (step @p234 :rule reordering :premises (@p233) :args ((or @t151 @t135 @t165 (not @t166))))
% 37.73/37.96  (assume-push @p482 @t155)
% 37.73/37.96  (step @p236 :rule instantiate :premises (@p482) :args (@t144))
% 37.73/37.96  (step-pop @p483 :rule scope :premises (@p236))
% 37.73/37.96  (step @p237 :rule process_scope :premises (@p483) :args (@t169))
% 37.73/37.96  (step @p239 :rule implies_elim :premises (@p237))
% 37.73/37.96  (step @p240 :rule instantiate :premises (@p223) :args (@t147))
% 37.73/37.96  (step @p241 :rule cnf_or_pos :args (@t172))
% 37.73/37.96  (step @p242 :rule reordering :premises (@p241) :args ((or @t131 @t171 @t170 (not @t172))))
% 37.73/37.96  (step @p243 :rule instantiate :premises (@p11) :args (@t114))
% 37.73/37.96  (step @p244 :rule cnf_equiv_pos1 :args (@t175))
% 37.73/37.96  (step @p245 :rule reordering :premises (@p244) :args ((or @t171 @t174 (not @t175))))
% 37.73/37.96  (step @p246 :rule cnf_or_pos :args (@t169))
% 37.73/37.96  (step @p247 :rule reordering :premises (@p246) :args ((or @t123 @t168 (not @t169))))
% 37.73/37.96  (step @p248 :rule cnf_and_pos :args (@t174 0))
% 37.73/37.96  (step @p249 :rule reordering :premises (@p248) :args ((or @t173 (not @t174))))
% 37.73/37.96  (step @p250 :rule instantiate :premises (@p86) :args (@t114))
% 37.73/37.96  (step @p251 :rule cnf_equiv_pos1 :args (@t177))
% 37.73/37.96  (step @p252 :rule reordering :premises (@p251) :args ((or (not @t173) @t176 (not @t177))))
% 37.73/37.96  (assume-push @p484 @t176)
% 37.73/37.96  (step @p254 :rule instantiate :premises (@p484) :args (@t154))
% 37.73/37.96  (step-pop @p485 :rule scope :premises (@p254))
% 37.73/37.96  (step @p255 :rule process_scope :premises (@p485) :args (@t179))
% 37.73/37.96  (step @p257 :rule implies_elim :premises (@p255))
% 37.73/37.96  (step @p258 :rule cnf_or_pos :args (@t179))
% 37.73/37.96  (step @p259 :rule reordering :premises (@p258) :args ((or @t131 @t178 (not @t179))))
% 37.73/37.96  (step @p260 :rule eq-symm :args (@t79 @t40))
% 37.73/37.96  (step @p261 :rule cong :premises (@p260) :args (@t80))
% 37.73/37.96  (step @p262 :rule eq_resolve :premises (@p38 @p261))
% 37.73/37.96  (step @p263 :rule instantiate :premises (@p262) :args (@t147))
% 37.73/37.96  (step @p264 :rule cnf_equiv_pos1 :args (@t181))
% 37.73/37.96  (step @p265 :rule reordering :premises (@p264) :args ((or (not @t178) @t180 (not @t181))))
% 37.73/37.96  (step @p266 :rule aci_norm :args ((= (or (or @t67 @t182) @t81) (or @t67 @t182 @t81))))
% 37.73/37.96  (step @p267 :rule refl :args (@t81))
% 37.73/37.96  (step @p268 :rule bool-and-de-morgan :args (@t5 @t82 true))
% 37.73/37.96  (step @p269 :rule nary_cong :premises (@p268 @p267) :args ((or (not @t83) @t81)))
% 37.73/37.96  (step @p270 :rule trans :premises (@p269 @p266))
% 37.73/37.96  (step @p271 :rule bool-impl-elim :args (@t83 @t81))
% 37.73/37.96  (step @p272 :rule trans :premises (@p271 @p270))
% 37.73/37.96  (step @p273 :rule cong :premises (@p272) :args (@t85))
% 37.73/37.96  (step @p274 :rule eq_resolve :premises (@p39 @p273))
% 37.73/37.96  (step @p275 :rule instantiate :premises (@p274) :args ((@list @t121 @t128 @t100)))
% 37.73/37.96  (step @p276 :rule cnf_or_pos :args (@t186))
% 37.73/37.96  (step @p277 :rule reordering :premises (@p276) :args ((or @t164 @t185 @t183 (not @t186))))
% 37.73/37.96  (step @p278 :rule aci_norm :args ((= @t194 (or @t192 @t191 @t190 @t189 @t188))))
% 37.73/37.96  (step @p279 :rule cong :premises (@p278) :args (@t195))
% 37.73/37.96  (step @p280 :rule quant-merge-prenex :args ((= (forall @t10 @t197) @t195)))
% 37.73/37.96  (step @p281 :rule alpha_equiv :args (@t198 (@list @t187) (@list @t2)))
% 37.73/37.96  (step @p282 :rule refl :args (@t192))
% 37.73/37.96  (step @p283 :rule nary_cong :premises (@p282 @p281) :args (@t199))
% 37.73/37.96  (step @p284 :rule quant-miniscope-or :args ((= @t197 @t199)))
% 37.73/37.96  (step @p285 :rule trans :premises (@p284 @p283))
% 37.73/37.96  (step @p286 :rule symm :premises (@p285))
% 37.73/37.96  (step @p287 :rule cong :premises (@p286) :args ((forall @t10 (or @t192 @t201))))
% 37.73/37.96  (step @p288 :rule trans :premises (@p287 @p280))
% 37.73/37.96  (step @p289 :rule trans :premises (@p288 @p279))
% 37.73/37.96  (step @p290 :rule bool-impl-elim :args (@t14 @t201))
% 37.73/37.96  (step @p291 :rule cong :premises (@p290) :args ((forall @t10 (=> @t14 @t201))))
% 37.73/37.96  (step @p292 :rule trans :premises (@p291 @p289))
% 37.73/37.96  (step @p293 :rule aci_norm :args ((= (or @t159 (or @t5 @t65 @t3)) @t200)))
% 37.73/37.96  (step @p294 :rule bool-double-not-elim :args (@t3))
% 37.73/37.96  (step @p295 :rule bool-double-not-elim :args (@t65))
% 37.73/37.96  (step @p296 :rule bool-double-not-elim :args (@t5))
% 37.73/37.96  (step @p297 :rule nary_cong :premises (@p296 @p295 @p294) :args (@t205))
% 37.73/37.96  (step @p298 :rule aci_norm :args ((= (or @t204 (or @t203 @t202)) @t205)))
% 37.73/37.96  (step @p299 :rule trans :premises (@p298 @p297))
% 37.73/37.96  (step @p300 :rule bool-and-de-morgan :args (@t66 @t4 true))
% 37.73/37.96  (step @p301 :rule refl :args (@t204))
% 37.73/37.96  (step @p302 :rule nary_cong :premises (@p301 @p300) :args ((or @t204 (not (and @t66 @t4)))))
% 37.73/37.96  (step @p303 :rule bool-and-de-morgan :args (@t67 @t66 (and @t4)))
% 37.73/37.96  (step @p304 :rule trans :premises (@p303 @p302))
% 37.73/37.96  (step @p305 :rule trans :premises (@p304 @p299))
% 37.73/37.96  (step @p306 :rule nary_cong :premises (@p217 @p305) :args ((or @t159 @t68)))
% 37.73/37.96  (step @p307 :rule trans :premises (@p306 @p293))
% 37.73/37.96  (step @p308 :rule bool-impl-elim :args (@t63 @t68))
% 37.73/37.96  (step @p309 :rule trans :premises (@p308 @p307))
% 37.73/37.96  (step @p310 :rule cong :premises (@p309) :args (@t69))
% 37.73/37.96  (step @p311 :rule refl :args (@t14))
% 37.73/37.96  (step @p312 :rule cong :premises (@p311 @p310) :args (@t70))
% 37.73/37.96  (step @p313 :rule cong :premises (@p312) :args (@t71))
% 37.73/37.96  (step @p314 :rule trans :premises (@p313 @p292))
% 37.73/37.96  (step @p315 :rule eq_resolve :premises (@p35 @p314))
% 37.73/37.96  (step @p316 :rule instantiate :premises (@p315) :args ((@list @t128 @t121)))
% 37.73/37.96  (step @p317 :rule cnf_or_pos :args (@t208))
% 37.73/37.96  (step @p318 :rule reordering :premises (@p317) :args ((or @t207 @t161 @t167 @t206 @t184 (not @t208))))
% 37.73/37.96  (step @p319 :rule refl :args (@t209))
% 37.73/37.96  (step @p320 :rule refl :args (@t125))
% 37.73/37.96  (step @p321 :rule bool-double-not-elim :args (@t148))
% 37.73/37.96  (step @p322 :rule nary_cong :premises (@p321 @p320 @p319) :args ((or (not @t149) @t125 @t209)))
% 37.73/37.96  (assume-push @p486 @t149)
% 37.73/37.96  (assume-push @p487 @t206)
% 37.73/37.96  (assume-push @p488 @t124)
% 37.73/37.96  (step @p326 :rule evaluate :args ((= true false)))
% 37.73/37.96  (step @p327 :rule false_intro :premises (@p486))
% 37.73/37.96  (step @p328 :rule symm :premises (@p487))
% 37.73/37.96  (step @p329 :rule refl :args (@t100))
% 37.73/37.96  (step @p330 :rule cong :premises (@p329 @p328) :args (@t124))
% 37.73/37.96  (step @p331 :rule true_intro :premises (@p488))
% 37.73/37.96  (step @p332 :rule symm :premises (@p331))
% 37.73/37.96  (step @p333 :rule trans :premises (@p332 @p330 @p327))
% 37.73/37.96  (step @p334 false :rule eq_resolve :premises (@p333 @p326))
% 37.73/37.96  (step-pop @p489 :rule scope :premises (@p334))
% 37.73/37.96  (step-pop @p490 :rule scope :premises (@p489))
% 37.73/37.96  (step-pop @p491 :rule scope :premises (@p490))
% 37.73/37.96  (step @p335 :rule process_scope :premises (@p491) :args (false))
% 37.73/37.96  (assume-push @p492 @t149)
% 37.73/37.96  (assume-push @p493 @t124)
% 37.73/37.96  (assume-push @p494 @t206)
% 37.73/37.96  (step @p342 :rule and_intro :premises (@p492 @p494 @p493))
% 37.73/37.96  (step-pop @p495 :rule scope :premises (@p342))
% 37.73/37.96  (step-pop @p496 :rule scope :premises (@p495))
% 37.73/37.96  (step-pop @p497 :rule scope :premises (@p496))
% 37.73/37.96  (step @p343 :rule process_scope :premises (@p497) :args (@t210))
% 37.73/37.96  (step @p347 :rule implies_elim :premises (@p343))
% 37.73/37.96  (step @p348 :rule resolution :premises (@p347 @p335) :args (true @t210))
% 37.73/37.96  (step @p349 :rule not_and :premises (@p348))
% 37.73/37.96  (step @p350 :rule eq_resolve :premises (@p349 @p322))
% 37.73/37.96  (step @p351 :rule chain_m_resolution :premises (@p350 @p318 @p316 @p277 @p275 @p265 @p263 @p259 @p257 @p252 @p250 @p249 @p247 @p245 @p243 @p242 @p240 @p239 @p234 @p232 @p226 @p224 @p214 @p207 @p206 @p204 @p200 @p198 @p197 @p195 @p176 @p174 @p170 @p169 @p163 @p158 @p152 @p143 @p134 @p132 @p125 @p123 @p94 @p93) :args (@t104 (@list false false true false false false false false false false false true false false false false false true false false false false false true false true false false false true false true false false false true true true false true false true false) (@list @t206 @t208 @t184 @t186 @t180 @t181 @t178 @t179 @t176 @t177 @t173 @t167 @t174 @t175 @t170 @t172 @t169 @t164 @t166 @t160 @t162 @t155 @t157 @t151 @t153 @t148 @t150 @t145 @t146 @t135 @t137 @t129 @t130 @t122 @t124 @t132 @t126 @t118 @t119 @t115 @t117 @t102 @t101)))
% 37.73/37.96  (step @p352 :rule refl :args (@t211))
% 37.73/37.96  (step @p353 :rule bool-double-not-elim :args (@t99))
% 37.73/37.96  (step @p354 :rule nary_cong :premises (@p353 @p352) :args ((or (not @t212) @t211)))
% 37.73/37.96  (assume-push @p498 @t212)
% 37.73/37.96  (step @p356 :rule skolemize :premises (@p498))
% 37.73/37.96  (step-pop @p499 :rule scope :premises (@p356))
% 37.73/37.96  (step @p357 :rule process_scope :premises (@p499) :args (@t211))
% 37.73/37.96  (step @p359 :rule implies_elim :premises (@p357))
% 37.73/37.96  (step @p360 :rule eq_resolve :premises (@p359 @p354))
% 37.73/37.96  (step @p361 :rule chain_m_resolution :premises (@p360 @p351) :args (@t99 @t113 (@list @t104)))
% 37.73/37.96  (step @p362 :rule cnf_equiv_pos2 :args (@t214))
% 37.73/37.96  (step @p363 :rule reordering :premises (@p362) :args ((or @t213 @t212 (not @t214))))
% 37.73/37.96  (step @p364 :rule chain_m_resolution :premises (@p363 @p361 @p87) :args (@t213 @t215 (@list @t99 @t214)))
% 37.73/37.96  (step @p365 :rule cnf_or_neg :args (@t141 1))
% 37.73/37.96  (step @p366 :rule chain_m_resolution :premises (@p365 @p187) :args ((not @t139) @t142 @t143))
% 37.73/37.96  (step @p367 :rule cnf_or_pos :args (@t219))
% 37.73/37.96  (step @p368 :rule reordering :premises (@p367) :args ((or @t139 @t218 @t217 (not @t219))))
% 37.73/37.96  (step @p369 :rule chain_m_resolution :premises (@p368 @p366 @p364 @p80) :args (@t217 (@list true false false) (@list @t139 @t213 @t219)))
% 37.73/37.96  (step @p370 :rule cnf_equiv_pos2 :args (@t221))
% 37.73/37.96  (step @p371 :rule reordering :premises (@p370) :args ((or @t216 @t222 (not @t221))))
% 37.73/37.96  (step @p372 :rule chain_m_resolution :premises (@p371 @p369 @p70) :args (@t222 (@list true false) (@list @t216 @t221)))
% 37.73/37.96  (step @p373 :rule refl :args (@t233))
% 37.73/37.96  (step @p374 :rule bool-double-not-elim :args (@t220))
% 37.73/37.96  (step @p375 :rule nary_cong :premises (@p374 @p373) :args ((or (not @t222) @t233)))
% 37.73/37.96  (assume-push @p500 @t222)
% 37.73/37.96  (step @p377 :rule skolemize :premises (@p500))
% 37.73/37.96  (step-pop @p501 :rule scope :premises (@p377))
% 37.73/37.96  (step @p378 :rule process_scope :premises (@p501) :args (@t233))
% 37.73/37.96  (step @p380 :rule implies_elim :premises (@p378))
% 37.73/37.96  (step @p381 :rule eq_resolve :premises (@p380 @p375))
% 37.73/37.96  (step @p382 :rule chain_m_resolution :premises (@p381 @p372) :args (@t233 @t142 (@list @t220)))
% 37.73/37.96  (step @p383 :rule cnf_or_neg :args (@t232 2))
% 37.73/37.96  (step @p384 :rule chain_m_resolution :premises (@p383 @p382) :args ((not @t227) @t142 @t234))
% 37.73/37.96  (step @p385 :rule cnf_or_neg :args (@t232 3))
% 37.73/37.96  (step @p386 :rule chain_m_resolution :premises (@p385 @p382) :args ((not @t226) @t142 @t234))
% 37.73/37.96  (step @p387 :rule cnf_or_neg :args (@t232 4))
% 37.73/37.96  (step @p388 :rule chain_m_resolution :premises (@p387 @p382) :args ((not @t225) @t142 @t234))
% 37.73/37.96  (step @p389 :rule instantiate :premises (@p315) :args ((@list @t223 @t224)))
% 37.73/37.96  (step @p390 :rule instantiate :premises (@p223) :args ((@list @t223 @t236)))
% 37.73/37.96  (step @p391 :rule instantiate :premises (@p194) :args ((@list @t236)))
% 37.73/37.96  (step @p392 :rule instantiate :premises (@p122) :args ((@list @t223)))
% 37.73/37.96  (step @p393 :rule bool-double-not-elim :args (@t230))
% 37.73/37.96  (step @p394 :rule refl :args (@t232))
% 37.73/37.96  (step @p395 :rule nary_cong :premises (@p394 @p393) :args ((or @t232 (not @t231))))
% 37.73/37.96  (step @p396 :rule cnf_or_neg :args (@t232 0))
% 37.73/37.96  (step @p397 :rule eq_resolve :premises (@p396 @p395))
% 37.73/37.96  (step @p398 :rule reordering :premises (@p397) :args ((or @t230 @t232)))
% 37.73/37.96  (step @p399 :rule chain_m_resolution :premises (@p398 @p382) :args (@t230 @t142 @t234))
% 37.73/37.96  (step @p400 :rule cnf_equiv_pos1 :args (@t238))
% 37.73/37.96  (step @p401 :rule reordering :premises (@p400) :args ((or @t231 @t237 (not @t238))))
% 37.73/37.96  (step @p402 :rule chain_m_resolution :premises (@p401 @p399 @p392) :args (@t237 @t215 (@list @t230 @t238)))
% 37.73/37.96  (step @p403 :rule refl :args (@t244))
% 37.73/37.96  (step @p404 :rule bool-double-not-elim :args (@t235))
% 37.73/37.96  (step @p405 :rule nary_cong :premises (@p404 @p403) :args ((or (not @t237) @t244)))
% 37.73/37.96  (assume-push @p502 @t237)
% 37.73/37.96  (step @p407 :rule skolemize :premises (@p502))
% 37.73/37.96  (step-pop @p503 :rule scope :premises (@p407))
% 37.73/37.96  (step @p408 :rule process_scope :premises (@p503) :args (@t244))
% 37.73/37.96  (step @p410 :rule implies_elim :premises (@p408))
% 37.73/37.96  (step @p411 :rule eq_resolve :premises (@p410 @p405))
% 37.73/37.96  (step @p412 :rule chain_m_resolution :premises (@p411 @p402) :args (@t244 @t142 (@list @t235)))
% 37.73/37.96  (step @p413 :rule bool-double-not-elim :args (@t239))
% 37.73/37.96  (step @p414 :rule refl :args (@t243))
% 37.73/37.96  (step @p415 :rule nary_cong :premises (@p414 @p413) :args ((or @t243 (not @t240))))
% 37.73/37.96  (step @p416 :rule cnf_or_neg :args (@t243 1))
% 37.73/37.96  (step @p417 :rule eq_resolve :premises (@p416 @p415))
% 37.73/37.96  (step @p418 :rule reordering :premises (@p417) :args ((or @t239 @t243)))
% 37.73/37.96  (step @p419 :rule chain_m_resolution :premises (@p418 @p412) :args (@t239 @t142 @t245))
% 37.73/37.96  (step @p420 :rule cnf_or_pos :args (@t247))
% 37.73/37.96  (step @p421 :rule reordering :premises (@p420) :args ((or @t240 @t246 (not @t247))))
% 37.73/37.96  (step @p422 :rule chain_m_resolution :premises (@p421 @p419 @p391) :args (@t246 @t215 (@list @t239 @t247)))
% 37.73/37.96  (step @p423 :rule bool-double-not-elim :args (@t241))
% 37.73/37.96  (step @p424 :rule nary_cong :premises (@p414 @p423) :args ((or @t243 (not @t242))))
% 37.73/37.96  (step @p425 :rule cnf_or_neg :args (@t243 0))
% 37.73/37.96  (step @p426 :rule eq_resolve :premises (@p425 @p424))
% 37.73/37.96  (step @p427 :rule reordering :premises (@p426) :args ((or @t241 @t243)))
% 37.73/37.96  (step @p428 :rule chain_m_resolution :premises (@p427 @p412) :args (@t241 @t142 @t245))
% 37.73/37.96  (step @p429 :rule cnf_or_pos :args (@t250))
% 37.73/37.96  (step @p430 :rule reordering :premises (@p429) :args ((or @t248 @t242 @t249 (not @t250))))
% 37.73/37.97  (step @p431 :rule chain_m_resolution :premises (@p430 @p428 @p422 @p390) :args (@t248 @t251 (@list @t241 @t246 @t250)))
% 37.73/37.97  (step @p432 :rule instantiate :premises (@p223) :args ((@list @t224 @t253)))
% 37.73/37.97  (step @p433 :rule instantiate :premises (@p194) :args ((@list @t253)))
% 37.73/37.97  (step @p434 :rule instantiate :premises (@p122) :args ((@list @t224)))
% 37.73/37.97  (step @p435 :rule bool-double-not-elim :args (@t228))
% 37.73/37.97  (step @p436 :rule nary_cong :premises (@p394 @p435) :args ((or @t232 (not @t229))))
% 37.73/37.97  (step @p437 :rule cnf_or_neg :args (@t232 1))
% 37.73/37.97  (step @p438 :rule eq_resolve :premises (@p437 @p436))
% 37.73/37.97  (step @p439 :rule reordering :premises (@p438) :args ((or @t228 @t232)))
% 37.73/37.97  (step @p440 :rule chain_m_resolution :premises (@p439 @p382) :args (@t228 @t142 @t234))
% 37.73/37.97  (step @p441 :rule cnf_equiv_pos1 :args (@t255))
% 37.73/37.97  (step @p442 :rule reordering :premises (@p441) :args ((or @t229 @t254 (not @t255))))
% 37.73/37.97  (step @p443 :rule chain_m_resolution :premises (@p442 @p440 @p434) :args (@t254 @t215 (@list @t228 @t255)))
% 37.73/37.97  (step @p444 :rule refl :args (@t261))
% 37.73/37.97  (step @p445 :rule bool-double-not-elim :args (@t252))
% 37.73/37.97  (step @p446 :rule nary_cong :premises (@p445 @p444) :args ((or (not @t254) @t261)))
% 37.73/37.97  (assume-push @p504 @t254)
% 37.73/37.97  (step @p448 :rule skolemize :premises (@p504))
% 37.73/37.97  (step-pop @p505 :rule scope :premises (@p448))
% 37.73/37.97  (step @p449 :rule process_scope :premises (@p505) :args (@t261))
% 37.73/37.97  (step @p451 :rule implies_elim :premises (@p449))
% 37.73/37.97  (step @p452 :rule eq_resolve :premises (@p451 @p446))
% 37.73/37.97  (step @p453 :rule chain_m_resolution :premises (@p452 @p443) :args (@t261 @t142 (@list @t252)))
% 37.73/37.97  (step @p454 :rule bool-double-not-elim :args (@t256))
% 37.73/37.97  (step @p455 :rule refl :args (@t260))
% 37.73/37.97  (step @p456 :rule nary_cong :premises (@p455 @p454) :args ((or @t260 (not @t257))))
% 37.73/37.97  (step @p457 :rule cnf_or_neg :args (@t260 1))
% 37.73/37.97  (step @p458 :rule eq_resolve :premises (@p457 @p456))
% 37.73/37.97  (step @p459 :rule reordering :premises (@p458) :args ((or @t256 @t260)))
% 37.73/37.97  (step @p460 :rule chain_m_resolution :premises (@p459 @p453) :args (@t256 @t142 @t262))
% 37.73/37.97  (step @p461 :rule cnf_or_pos :args (@t264))
% 37.73/37.97  (step @p462 :rule reordering :premises (@p461) :args ((or @t257 @t263 (not @t264))))
% 37.73/37.97  (step @p463 :rule chain_m_resolution :premises (@p462 @p460 @p433) :args (@t263 @t215 (@list @t256 @t264)))
% 37.73/37.97  (step @p464 :rule bool-double-not-elim :args (@t258))
% 37.73/37.97  (step @p465 :rule nary_cong :premises (@p455 @p464) :args ((or @t260 (not @t259))))
% 37.73/37.97  (step @p466 :rule cnf_or_neg :args (@t260 0))
% 37.73/37.97  (step @p467 :rule eq_resolve :premises (@p466 @p465))
% 37.73/37.97  (step @p468 :rule reordering :premises (@p467) :args ((or @t258 @t260)))
% 37.73/37.97  (step @p469 :rule chain_m_resolution :premises (@p468 @p453) :args (@t258 @t142 @t262))
% 37.73/37.97  (step @p470 :rule cnf_or_pos :args (@t267))
% 37.73/37.97  (step @p471 :rule reordering :premises (@p470) :args ((or @t265 @t259 @t266 (not @t267))))
% 37.73/37.97  (step @p472 :rule chain_m_resolution :premises (@p471 @p469 @p463 @p432) :args (@t265 @t251 (@list @t258 @t263 @t267)))
% 37.73/37.97  (step @p473 :rule cnf_or_pos :args (@t270))
% 37.73/37.97  (step @p474 :rule reordering :premises (@p473) :args ((or @t227 @t226 @t225 @t269 @t268 (not @t270))))
% 37.73/37.97  (step @p475 false :rule chain_m_resolution :premises (@p474 @p472 @p431 @p389 @p388 @p386 @p384) :args (false (@list false false false true true true) (@list @t265 @t248 @t270 @t225 @t226 @t227)))
% 37.73/37.97  )
% 37.73/37.97  % SZS output end Proof
% 37.73/37.97  % cvc5 exiting
%------------------------------------------------------------------------------