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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU216+2 : TPTP v9.2.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n018.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 08:50:59 AM UTC 2026

% Result   : Theorem 34.40s 35.02s
% Output   : Proof 34.40s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SEU216+2 : TPTP v9.2.1. Released v3.3.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n018.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 16:41:20 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.32/0.55  %----Proving TF0_NAR, FOF, or CNF
% 34.40/35.02  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 34.40/35.02  --- Run --no-e-matching --full-saturate-quant at 6...
% 34.40/35.02  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 34.40/35.02  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 34.40/35.02  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 34.40/35.02  % SZS status Theorem
% 34.40/35.02  % SZS output start Proof
% 34.40/35.02  (
% 34.40/35.02  (declare-sort $$unsorted 0)
% 34.40/35.02  (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool))
% 34.40/35.02  (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted))
% 34.40/35.02  (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool))
% 34.40/35.02  (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted))
% 34.40/35.02  (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted))
% 34.40/35.02  (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 34.40/35.02  (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted))
% 34.40/35.02  (declare-const tptp.empty (-> $$unsorted Bool))
% 34.40/35.02  (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted))
% 34.40/35.02  (declare-const tptp.subset (-> $$unsorted $$unsorted Bool))
% 34.40/35.02  (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted))
% 34.40/35.02  (declare-const tptp.relation_rng_restriction (-> $$unsorted $$unsorted $$unsorted))
% 34.40/35.02  (declare-const tptp.relation_rng (-> $$unsorted $$unsorted))
% 34.40/35.02  (declare-const tptp.relation (-> $$unsorted Bool))
% 34.40/35.02  (declare-const tptp.empty_set $$unsorted)
% 34.40/35.02  (declare-const tptp.relation_field (-> $$unsorted $$unsorted))
% 34.40/35.02  (declare-const tptp.relation_dom_restriction (-> $$unsorted $$unsorted $$unsorted))
% 34.40/35.02  (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted))
% 34.40/35.02  (declare-const tptp.function (-> $$unsorted Bool))
% 34.40/35.02  (declare-const tptp.identity_relation (-> $$unsorted $$unsorted))
% 34.40/35.02  (declare-const tptp.relation_image (-> $$unsorted $$unsorted $$unsorted))
% 34.40/35.02  (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted))
% 34.40/35.02  (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted))
% 34.40/35.02  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 34.40/35.02  (declare-const tptp.relation_inverse_image (-> $$unsorted $$unsorted $$unsorted))
% 34.40/35.02  (declare-const tptp.set_meet (-> $$unsorted $$unsorted))
% 34.40/35.02  (declare-const tptp.singleton (-> $$unsorted $$unsorted))
% 34.40/35.02  (declare-const tptp.powerset (-> $$unsorted $$unsorted))
% 34.40/35.02  (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool))
% 34.40/35.02  (declare-const tptp.element (-> $$unsorted $$unsorted Bool))
% 34.40/35.02  (declare-const tptp.union (-> $$unsorted $$unsorted))
% 34.40/35.02  (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool))
% 34.40/35.02  (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted))
% 34.40/35.02  (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted))
% 34.40/35.02  (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted))
% 34.40/35.02  (declare-const tptp.relation_dom (-> $$unsorted $$unsorted))
% 34.40/35.02  (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted))
% 34.40/35.02  (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted))
% 34.40/35.02  (define @t1 () (@var "A" $$unsorted))
% 34.40/35.02  (define @t2 () (@var "B" $$unsorted))
% 34.40/35.02  (define @t3 () (tptp.in @t2 @t1))
% 34.40/35.02  (define @t4 () (not @t3))
% 34.40/35.02  (define @t5 () (tptp.in @t1 @t2))
% 34.40/35.02  (define @t6 () (@list @t1 @t2))
% 34.40/35.02  (define @t7 () (tptp.proper_subset @t2 @t1))
% 34.40/35.02  (define @t8 () (tptp.proper_subset @t1 @t2))
% 34.40/35.02  (define @t9 () (tptp.function @t1))
% 34.40/35.02  (define @t10 () (tptp.empty @t1))
% 34.40/35.02  (define @t11 () (@list @t1))
% 34.40/35.02  (define @t12 () (tptp.relation @t1))
% 34.40/35.02  (define @t13 () (tptp.unordered_pair @t1 @t2))
% 34.40/35.02  (define @t14 () (tptp.set_union2 @t2 @t1))
% 34.40/35.02  (define @t15 () (tptp.set_union2 @t1 @t2))
% 34.40/35.02  (define @t16 () (tptp.set_intersection2 @t1 @t2))
% 34.40/35.02  (define @t17 () (@var "D" $$unsorted))
% 34.40/35.02  (define @t18 () (@var "C" $$unsorted))
% 34.40/35.02  (define @t19 () (= @t18 @t17))
% 34.40/35.02  (define @t20 () (tptp.in @t18 @t1))
% 34.40/35.02  (define @t21 () (tptp.ordered_pair @t18 @t17))
% 34.40/35.02  (define @t22 () (tptp.in @t21 @t2))
% 34.40/35.02  (define @t23 () (@list @t18 @t17))
% 34.40/35.02  (define @t24 () (tptp.identity_relation @t1))
% 34.40/35.02  (define @t25 () (= @t2 @t24))
% 34.40/35.02  (define @t26 () (= @t25 (forall @t23 (= @t22 (and @t20 @t19)))))
% 34.40/35.02  (define @t27 () (tptp.relation @t2))
% 34.40/35.02  (define @t28 () (forall @t6 (=> @t27 @t26)))
% 34.40/35.02  (define @t29 () (tptp.subset @t1 @t2))
% 34.40/35.02  (define @t30 () (= @t1 @t2))
% 34.40/35.02  (define @t31 () (@var "E" $$unsorted))
% 34.40/35.02  (define @t32 () (tptp.ordered_pair @t17 @t31))
% 34.40/35.02  (define @t33 () (tptp.in @t32 @t1))
% 34.40/35.02  (define @t34 () (tptp.in @t17 @t2))
% 34.40/35.02  (define @t35 () (tptp.in @t32 @t18))
% 34.40/35.02  (define @t36 () (@list @t17 @t31))
% 34.40/35.02  (define @t37 () (tptp.relation_dom_restriction @t1 @t2))
% 34.40/35.02  (define @t38 () (tptp.relation @t18))
% 34.40/35.02  (define @t39 () (@list @t2 @t18))
% 34.40/35.02  (define @t40 () (tptp.in @t31 @t1))
% 34.40/35.02  (define @t41 () (tptp.relation_rng_restriction @t1 @t2))
% 34.40/35.02  (define @t42 () (@list @t18))
% 34.40/35.02  (define @t43 () (tptp.in @t31 @t2))
% 34.40/35.02  (define @t44 () (@list @t31))
% 34.40/35.02  (define @t45 () (tptp.in @t17 @t18))
% 34.40/35.02  (define @t46 () (@list @t17))
% 34.40/35.02  (define @t47 () (@list @t2))
% 34.40/35.02  (define @t48 () (= @t2 tptp.empty_set))
% 34.40/35.02  (define @t49 () (= @t2 (tptp.set_meet @t1)))
% 34.40/35.02  (define @t50 () (= @t1 tptp.empty_set))
% 34.40/35.02  (define @t51 () (tptp.in @t18 @t17))
% 34.40/35.02  (define @t52 () (tptp.in @t17 @t1))
% 34.40/35.02  (define @t53 () (tptp.in @t18 @t2))
% 34.40/35.02  (define @t54 () (not @t50))
% 34.40/35.02  (define @t55 () (tptp.singleton @t1))
% 34.40/35.02  (define @t56 () (tptp.powerset @t1))
% 34.40/35.02  (define @t57 () (tptp.in @t21 @t1))
% 34.40/35.02  (define @t58 () (tptp.empty @t2))
% 34.40/35.02  (define @t59 () (tptp.element @t2 @t1))
% 34.40/35.02  (define @t60 () (not @t10))
% 34.40/35.02  (define @t61 () (@list @t1 @t2 @t18))
% 34.40/35.02  (define @t62 () (@var "F" $$unsorted))
% 34.40/35.02  (define @t63 () (tptp.cartesian_product2 @t1 @t2))
% 34.40/35.02  (define @t64 () (forall @t42 (=> @t20 @t53)))
% 34.40/35.02  (define @t65 () (= @t18 (tptp.apply @t1 @t2)))
% 34.40/35.02  (define @t66 () (tptp.relation_dom @t1))
% 34.40/35.02  (define @t67 () (tptp.in @t2 @t66))
% 34.40/35.02  (define @t68 () (tptp.in (tptp.ordered_pair @t2 @t18) @t1))
% 34.40/35.02  (define @t69 () (and @t12 @t9))
% 34.40/35.02  (define @t70 () (tptp.cast_to_subset @t1))
% 34.40/35.02  (define @t71 () (not @t34))
% 34.40/35.02  (define @t72 () (tptp.set_difference @t1 @t2))
% 34.40/35.02  (define @t73 () (tptp.in (tptp.ordered_pair @t17 @t18) @t1))
% 34.40/35.02  (define @t74 () (tptp.relation_rng @t1))
% 34.40/35.02  (define @t75 () (tptp.subset_complement @t1 @t2))
% 34.40/35.02  (define @t76 () (tptp.element @t2 @t56))
% 34.40/35.02  (define @t77 () (tptp.ordered_pair @t1 @t2))
% 34.40/35.02  (define @t78 () (tptp.relation_inverse @t1))
% 34.40/35.02  (define @t79 () (tptp.disjoint @t1 @t2))
% 34.40/35.02  (define @t80 () (tptp.relation_composition @t1 @t2))
% 34.40/35.02  (define @t81 () (tptp.complements_of_subsets @t1 @t2))
% 34.40/35.02  (define @t82 () (tptp.powerset @t56))
% 34.40/35.02  (define @t83 () (tptp.element @t2 @t82))
% 34.40/35.02  (define @t84 () (not @t30))
% 34.40/35.02  (define @t85 () (tptp.relation @t80))
% 34.40/35.02  (define @t86 () (and @t12 @t27))
% 34.40/35.02  (define @t87 () (tptp.union_of_subsets @t1 @t2))
% 34.40/35.02  (define @t88 () (tptp.relation @t24))
% 34.40/35.02  (define @t89 () (tptp.meet_of_subsets @t1 @t2))
% 34.40/35.02  (define @t90 () (tptp.subset_difference @t1 @t2 @t18))
% 34.40/35.02  (define @t91 () (tptp.element @t18 @t56))
% 34.40/35.02  (define @t92 () (and @t76 @t91))
% 34.40/35.02  (define @t93 () (tptp.relation_composition @t2 @t1))
% 34.40/35.02  (define @t94 () (and @t10 @t27))
% 34.40/35.02  (define @t95 () (tptp.relation tptp.empty_set))
% 34.40/35.02  (define @t96 () (tptp.empty tptp.empty_set))
% 34.40/35.02  (define @t97 () (tptp.function @t2))
% 34.40/35.02  (define @t98 () (not @t58))
% 34.40/35.02  (define @t99 () (tptp.empty @t66))
% 34.40/35.02  (define @t100 () (and @t60 @t12))
% 34.40/35.02  (define @t101 () (tptp.empty @t74))
% 34.40/35.02  (define @t102 () (tptp.disjoint @t55 @t2))
% 34.40/35.02  (define @t103 () (tptp.singleton @t2))
% 34.40/35.02  (define @t104 () (tptp.union @t2))
% 34.40/35.02  (define @t105 () (tptp.in @t1 @t18))
% 34.40/35.02  (define @t106 () (@list @t1 @t2 @t18 @t17))
% 34.40/35.02  (define @t107 () (tptp.element @t1 (tptp.powerset @t2)))
% 34.40/35.02  (define @t108 () (tptp.set_difference @t2 @t18))
% 34.40/35.02  (define @t109 () (= @t1 @t18))
% 34.40/35.02  (define @t110 () (tptp.relation_rng @t18))
% 34.40/35.02  (define @t111 () (tptp.relation_rng @t41))
% 34.40/35.02  (define @t112 () (tptp.relation_rng @t2))
% 34.40/35.02  (define @t113 () (tptp.cartesian_product2 @t1 @t18))
% 34.40/35.02  (define @t114 () (not @t53))
% 34.40/35.02  (define @t115 () (tptp.subset @t18 @t2))
% 34.40/35.02  (define @t116 () (forall @t42 (not (and @t115 (not (tptp.are_equipotent @t18 @t2)) @t114))))
% 34.40/35.02  (define @t117 () (tptp.powerset @t18))
% 34.40/35.02  (define @t118 () (forall @t23 (=> (and @t53 (tptp.subset @t17 @t18)) @t34)))
% 34.40/35.02  (define @t119 () (tptp.relation_dom_restriction @t18 @t2))
% 34.40/35.02  (define @t120 () (tptp.in (tptp.ordered_pair @t17 @t1) @t18))
% 34.40/35.02  (define @t121 () (tptp.relation_dom @t18))
% 34.40/35.02  (define @t122 () (tptp.in @t17 @t121))
% 34.40/35.02  (define @t123 () (and @t122 @t120 @t34))
% 34.40/35.02  (define @t124 () (exists @t46 @t123))
% 34.40/35.02  (define @t125 () (tptp.in @t1 (tptp.relation_image @t18 @t2)))
% 34.40/35.02  (define @t126 () (= @t125 @t124))
% 34.40/35.02  (define @t127 () (=> @t38 @t126))
% 34.40/35.02  (define @t128 () (forall @t61 @t127))
% 34.40/35.02  (define @t129 () (tptp.relation_image @t2 @t1))
% 34.40/35.02  (define @t130 () (tptp.relation_dom @t2))
% 34.40/35.02  (define @t131 () (tptp.set_intersection2 @t130 @t1))
% 34.40/35.02  (define @t132 () (tptp.relation_image @t1 @t66))
% 34.40/35.02  (define @t133 () (=> @t12 (= @t132 @t74)))
% 34.40/35.02  (define @t134 () (forall @t11 @t133))
% 34.40/35.02  (define @t135 () (tptp.relation_rng @t80))
% 34.40/35.02  (define @t136 () (tptp.relation_inverse_image @t18 @t2))
% 34.40/35.02  (define @t137 () (tptp.relation_inverse_image @t2 @t1))
% 34.40/35.02  (define @t138 () (tptp.set_intersection2 @t2 @t18))
% 34.40/35.02  (define @t139 () (tptp.subset @t1 @t18))
% 34.40/35.02  (define @t140 () (tptp.element @t1 @t2))
% 34.40/35.02  (define @t141 () (tptp.in @t1 @t121))
% 34.40/35.02  (define @t142 () (tptp.in @t77 @t18))
% 34.40/35.02  (define @t143 () (tptp.apply @t18 @t1))
% 34.40/35.02  (define @t144 () (tptp.relation_composition @t18 @t2))
% 34.40/35.02  (define @t145 () (tptp.in @t1 (tptp.relation_dom @t144)))
% 34.40/35.02  (define @t146 () (tptp.function @t18))
% 34.40/35.02  (define @t147 () (and @t38 @t146))
% 34.40/35.02  (define @t148 () (and @t27 @t97))
% 34.40/35.02  (define @t149 () (tptp.relation_field @t18))
% 34.40/35.02  (define @t150 () (tptp.apply @t2 @t18))
% 34.40/35.02  (define @t151 () (=> @t20 (= @t150 @t18)))
% 34.40/35.02  (define @t152 () (forall @t42 @t151))
% 34.40/35.02  (define @t153 () (and (= @t130 @t1) @t152))
% 34.40/35.02  (define @t154 () (= @t25 @t153))
% 34.40/35.02  (define @t155 () (=> @t148 @t154))
% 34.40/35.02  (define @t156 () (forall @t6 @t155))
% 34.40/35.02  (define @t157 () (not @t156))
% 34.40/35.02  (define @t158 () (tptp.in @t2 @t18))
% 34.40/35.02  (define @t159 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1)))
% 34.40/35.02  (define @t160 () (and @t20 @t53))
% 34.40/35.02  (define @t161 () (not @t79))
% 34.40/35.02  (define @t162 () (tptp.subset_complement @t1 @t18))
% 34.40/35.02  (define @t163 () (tptp.disjoint @t2 @t18))
% 34.40/35.02  (define @t164 () (tptp.relation_dom @t80))
% 34.40/35.02  (define @t165 () (not @t48))
% 34.40/35.02  (define @t166 () (tptp.element @t2 @t117))
% 34.40/35.02  (define @t167 () (tptp.in @t18 @t16))
% 34.40/35.02  (define @t168 () (= @t74 tptp.empty_set))
% 34.40/35.02  (define @t169 () (= @t66 tptp.empty_set))
% 34.40/35.02  (define @t170 () (tptp.relation_rng @t24))
% 34.40/35.02  (define @t171 () (tptp.relation_dom @t24))
% 34.40/35.02  (define @t172 () (and (= @t171 @t1) (= @t170 @t1)))
% 34.40/35.02  (define @t173 () (forall @t11 @t172))
% 34.40/35.02  (define @t174 () (tptp.relation_dom_restriction @t2 @t1))
% 34.40/35.02  (define @t175 () (= @t142 (and @t141 (= @t2 @t143))))
% 34.40/35.02  (define @t176 () (forall @t61 (=> @t147 @t175)))
% 34.40/35.02  (define @t177 () (= @t55 (tptp.unordered_pair @t2 @t18)))
% 34.40/35.02  (define @t178 () (not @t146))
% 34.40/35.02  (define @t179 () (not @t38))
% 34.40/35.02  (define @t180 () (= @t18 @t150))
% 34.40/35.02  (define @t181 () (= @t25 (and (= @t1 @t130) (forall @t42 (or (not @t20) @t180)))))
% 34.40/35.02  (define @t182 () (not @t97))
% 34.40/35.02  (define @t183 () (not @t27))
% 34.40/35.02  (define @t184 () (or @t183 @t182 @t181))
% 34.40/35.02  (define @t185 () (forall @t6 @t184))
% 34.40/35.02  (define @t186 () (@quantifiers_skolemize @t185 1))
% 34.40/35.02  (define @t187 () (@quantifiers_skolemize @t185 0))
% 34.40/35.02  (define @t188 () (tptp.in @t18 @t187))
% 34.40/35.02  (define @t189 () (forall @t23 (= (tptp.in @t21 @t186) (and @t188 @t19))))
% 34.40/35.02  (define @t190 () (@quantifiers_skolemize @t189 1))
% 34.40/35.02  (define @t191 () (@quantifiers_skolemize @t189 0))
% 34.40/35.02  (define @t192 () (tptp.function @t186))
% 34.40/35.02  (define @t193 () (forall @t42 (or (not @t188) (= @t18 (tptp.apply @t186 @t18)))))
% 34.40/35.02  (define @t194 () (tptp.relation_dom @t186))
% 34.40/35.02  (define @t195 () (= @t187 @t194))
% 34.40/35.02  (define @t196 () (and @t195 @t193))
% 34.40/35.02  (define @t197 () (tptp.identity_relation @t187))
% 34.40/35.02  (define @t198 () (= @t186 @t197))
% 34.40/35.02  (define @t199 () (= @t198 @t196))
% 34.40/35.02  (define @t200 () (not @t192))
% 34.40/35.02  (define @t201 () (tptp.relation @t186))
% 34.40/35.02  (define @t202 () (not @t201))
% 34.40/35.02  (define @t203 () (or @t202 @t200 @t199))
% 34.40/35.02  (define @t204 () (@list true))
% 34.40/35.02  (define @t205 () (@list @t203))
% 34.40/35.02  (define @t206 () (tptp.apply @t186 @t191))
% 34.40/35.02  (define @t207 () (= @t190 @t206))
% 34.40/35.02  (define @t208 () (tptp.in @t191 @t194))
% 34.40/35.02  (define @t209 () (and @t208 @t207))
% 34.40/35.02  (define @t210 () (tptp.in (tptp.ordered_pair @t191 @t190) @t186))
% 34.40/35.02  (define @t211 () (= @t210 @t209))
% 34.40/35.02  (define @t212 () (or @t202 @t200 @t211))
% 34.40/35.02  (define @t213 () (@list false false false))
% 34.40/35.02  (define @t214 () (= @t198 @t189))
% 34.40/35.02  (define @t215 () (or @t202 @t214))
% 34.40/35.02  (define @t216 () (@list false false))
% 34.40/35.02  (define @t217 () (not @t214))
% 34.40/35.02  (define @t218 () (not @t198))
% 34.40/35.02  (define @t219 () (= @t1 @t170))
% 34.40/35.02  (define @t220 () (forall @t11 @t219))
% 34.40/35.02  (define @t221 () (@list @t1))
% 34.40/35.02  (define @t222 () (= @t1 @t171))
% 34.40/35.02  (define @t223 () (forall @t11 @t222))
% 34.40/35.02  (define @t224 () (and @t223 @t220))
% 34.40/35.02  (define @t225 () (@list @t187))
% 34.40/35.02  (define @t226 () (tptp.relation_dom @t197))
% 34.40/35.02  (define @t227 () (= @t187 @t226))
% 34.40/35.02  (define @t228 () (and @t198 @t227))
% 34.40/35.02  (define @t229 () (tptp.relation_rng @t186))
% 34.40/35.02  (define @t230 () (@quantifiers_skolemize @t193 0))
% 34.40/35.02  (define @t231 () (forall @t46 (or (not (tptp.in @t17 @t194)) (not (tptp.in (tptp.ordered_pair @t17 @t230) @t186)) (not (tptp.in @t17 @t229)))))
% 34.40/35.02  (define @t232 () (@quantifiers_skolemize @t231 0))
% 34.40/35.02  (define @t233 () (tptp.in @t232 @t187))
% 34.40/35.02  (define @t234 () (and @t233 (= @t232 @t230)))
% 34.40/35.02  (define @t235 () (tptp.in (tptp.ordered_pair @t232 @t230) @t186))
% 34.40/35.02  (define @t236 () (= @t235 @t234))
% 34.40/35.02  (define @t237 () (= @t230 (tptp.apply @t186 @t230)))
% 34.40/35.02  (define @t238 () (tptp.in @t230 @t187))
% 34.40/35.02  (define @t239 () (not @t238))
% 34.40/35.02  (define @t240 () (or @t239 @t237))
% 34.40/35.02  (define @t241 () (not @t240))
% 34.40/35.02  (define @t242 () (not @t193))
% 34.40/35.02  (define @t243 () (= @t74 @t132))
% 34.40/35.02  (define @t244 () (= @t229 (tptp.relation_image @t186 @t194)))
% 34.40/35.02  (define @t245 () (or @t202 @t244))
% 34.40/35.02  (define @t246 () (= @t187 (tptp.relation_rng @t197)))
% 34.40/35.02  (define @t247 () (tptp.relation_image @t186 @t229))
% 34.40/35.02  (define @t248 () (tptp.in @t230 @t247))
% 34.40/35.02  (define @t249 () (and @t198 @t227 @t238 @t244 @t246))
% 34.40/35.02  (define @t250 () (not @t120))
% 34.40/35.02  (define @t251 () (not @t122))
% 34.40/35.02  (define @t252 () (or @t251 @t250 @t71))
% 34.40/35.02  (define @t253 () (= @t125 (not (forall @t46 @t252))))
% 34.40/35.02  (define @t254 () (forall @t46 (not @t123)))
% 34.40/35.02  (define @t255 () (not @t254))
% 34.40/35.02  (define @t256 () (not @t231))
% 34.40/35.02  (define @t257 () (= @t248 @t256))
% 34.40/35.02  (define @t258 () (or @t202 @t257))
% 34.40/35.02  (define @t259 () (not @t235))
% 34.40/35.02  (define @t260 () (tptp.in @t232 @t194))
% 34.40/35.02  (define @t261 () (or (not @t260) @t259 (not (tptp.in @t232 @t229))))
% 34.40/35.02  (define @t262 () (not @t261))
% 34.40/35.02  (define @t263 () (= @t230 @t232))
% 34.40/35.02  (define @t264 () (and @t233 @t263))
% 34.40/35.02  (define @t265 () (= @t235 @t264))
% 34.40/35.02  (define @t266 () (tptp.apply @t186 @t232))
% 34.40/35.02  (define @t267 () (= @t230 @t266))
% 34.40/35.02  (define @t268 () (and @t260 @t267))
% 34.40/35.02  (define @t269 () (= @t235 @t268))
% 34.40/35.02  (define @t270 () (or @t202 @t200 @t269))
% 34.40/35.02  (define @t271 () (not @t267))
% 34.40/35.02  (define @t272 () (not @t263))
% 34.40/35.02  (define @t273 () (not @t237))
% 34.40/35.02  (define @t274 () (and @t273 @t263))
% 34.40/35.02  (define @t275 () (not @t189))
% 34.40/35.02  (define @t276 () (@list true false))
% 34.40/35.02  (define @t277 () (= @t191 @t190))
% 34.40/35.02  (define @t278 () (tptp.in @t191 @t187))
% 34.40/35.02  (define @t279 () (and @t278 @t277))
% 34.40/35.02  (define @t280 () (= @t210 @t279))
% 34.40/35.02  (define @t281 () (not @t280))
% 34.40/35.02  (define @t282 () (not @t211))
% 34.40/35.02  (define @t283 () (not @t210))
% 34.40/35.02  (define @t284 () (not @t209))
% 34.40/35.02  (define @t285 () (@list true true))
% 34.40/35.02  (define @t286 () (not @t196))
% 34.40/35.02  (define @t287 () (@list false))
% 34.40/35.02  (define @t288 () (@list @t196))
% 34.40/35.02  (define @t289 () (and @t195 @t208))
% 34.40/35.02  (define @t290 () (= @t191 @t206))
% 34.40/35.02  (define @t291 () (not @t278))
% 34.40/35.02  (define @t292 () (or @t291 @t290))
% 34.40/35.02  (define @t293 () (not @t290))
% 34.40/35.02  (define @t294 () (not @t207))
% 34.40/35.02  (define @t295 () (not @t277))
% 34.40/35.02  (define @t296 () (and @t295 @t207))
% 34.40/35.02  (define @t297 () (not @t279))
% 34.40/35.02  (define @t298 () (@list @t279))
% 34.40/35.02  (define @t299 () (and @t277 @t290))
% 34.40/35.02  (define @t300 () (and @t195 @t278))
% 34.40/35.02  (assume @p1 (forall @t6 (=> @t5 @t4)))
% 34.40/35.02  (assume @p2 (forall @t6 (=> @t8 (not @t7))))
% 34.40/35.02  (assume @p3 (forall @t11 (=> @t10 @t9)))
% 34.40/35.02  (assume @p4 (forall @t11 (=> @t10 @t12)))
% 34.40/35.02  (assume @p5 (forall @t6 (= @t13 (tptp.unordered_pair @t2 @t1))))
% 34.40/35.02  (assume @p6 (forall @t6 (= @t15 @t14)))
% 34.40/35.02  (assume @p7 (forall @t6 (= @t16 (tptp.set_intersection2 @t2 @t1))))
% 34.40/35.02  (assume @p8 @t28)
% 34.40/35.02  (assume @p9 (forall @t6 (= @t30 (and @t29 (tptp.subset @t2 @t1)))))
% 34.40/35.02  (assume @p10 (forall @t11 (=> @t12 (forall @t39 (=> @t38 (= (= @t18 @t37) (forall @t36 (= @t35 (and @t34 @t33)))))))))
% 34.40/35.02  (assume @p11 (forall @t6 (=> @t27 (forall @t42 (=> @t38 (= (= @t18 @t41) (forall @t36 (= @t35 (and @t40 (tptp.in @t32 @t2))))))))))
% 34.40/35.02  (assume @p12 (forall @t11 (=> @t12 (forall @t39 (= (= @t18 (tptp.relation_image @t1 @t2)) (forall @t46 (= @t45 (exists @t44 (and (tptp.in (tptp.ordered_pair @t31 @t17) @t1) @t43)))))))))
% 34.40/35.02  (assume @p13 (forall @t11 (=> @t12 (forall @t39 (= (= @t18 (tptp.relation_inverse_image @t1 @t2)) (forall @t46 (= @t45 (exists @t44 (and @t33 @t43)))))))))
% 34.40/35.02  (assume @p14 (forall @t11 (= @t12 (forall @t47 (not (and @t3 (forall @t23 (not (= @t2 @t21)))))))))
% 34.40/35.02  (assume @p15 (forall @t6 (and (=> @t54 (= @t49 (forall @t42 (= @t53 (forall @t46 (=> @t52 @t51)))))) (=> @t50 (= @t49 @t48)))))
% 34.40/35.02  (assume @p16 (forall @t6 (= (= @t2 @t55) (forall @t42 (= @t53 (= @t18 @t1))))))
% 34.40/35.02  (assume @p17 (forall @t11 (= @t50 (forall @t47 @t4))))
% 34.40/35.02  (assume @p18 (forall @t6 (= (= @t2 @t56) (forall @t42 (= @t53 (tptp.subset @t18 @t1))))))
% 34.40/35.02  (assume @p19 (forall @t11 (=> @t12 (forall @t47 (=> @t27 (= @t30 (forall @t23 (= @t57 @t22))))))))
% 34.40/35.02  (assume @p20 (forall @t6 (and (=> @t60 (= @t59 @t3)) (=> @t10 (= @t59 @t58)))))
% 34.40/35.02  (assume @p21 (forall @t61 (= (= @t18 @t13) (forall @t46 (= @t45 (or (= @t17 @t1) (= @t17 @t2)))))))
% 34.40/35.02  (assume @p22 (forall @t61 (= (= @t18 @t15) (forall @t46 (= @t45 (or @t52 @t34))))))
% 34.40/35.02  (assume @p23 (forall @t61 (= (= @t18 @t63) (forall @t46 (= @t45 (exists (@list @t31 @t62) (and @t40 (tptp.in @t62 @t2) (= @t17 (tptp.ordered_pair @t31 @t62)))))))))
% 34.40/35.02  (assume @p24 (forall @t11 (=> @t12 (forall @t47 (=> @t27 (= @t29 (forall @t23 (=> @t57 @t22))))))))
% 34.40/35.02  (assume @p25 (forall @t6 (= @t29 @t64)))
% 34.40/35.02  (assume @p26 (forall @t61 (= (= @t18 @t16) (forall @t46 (= @t45 (and @t52 @t34))))))
% 34.40/35.02  (assume @p27 (forall @t11 (=> @t69 (forall @t39 (and (=> @t67 (= @t65 @t68)) (=> (not @t67) (= @t65 (= @t18 tptp.empty_set))))))))
% 34.40/35.02  (assume @p28 (forall @t11 (=> @t12 (forall @t47 (= (= @t2 @t66) (forall @t42 (= @t53 (exists @t46 @t57))))))))
% 34.40/35.02  (assume @p29 (forall @t11 (= @t70 @t1)))
% 34.40/35.02  (assume @p30 (forall @t6 (= (= @t2 (tptp.union @t1)) (forall @t42 (= @t53 (exists @t46 (and @t51 @t52)))))))
% 34.40/35.02  (assume @p31 (forall @t61 (= (= @t18 @t72) (forall @t46 (= @t45 (and @t52 @t71))))))
% 34.40/35.02  (assume @p32 (forall @t11 (=> @t12 (forall @t47 (= (= @t2 @t74) (forall @t42 (= @t53 (exists @t46 @t73))))))))
% 34.40/35.02  (assume @p33 (forall @t6 (=> @t76 (= @t75 @t72))))
% 34.40/35.02  (assume @p34 (forall @t6 (= @t77 (tptp.unordered_pair @t13 @t55))))
% 34.40/35.02  (assume @p35 (forall @t11 (=> @t12 (= (tptp.relation_field @t1) (tptp.set_union2 @t66 @t74)))))
% 34.40/35.02  (assume @p36 (forall @t11 (=> @t12 (forall @t47 (=> @t27 (= (= @t2 @t78) (forall @t23 (= @t22 @t73))))))))
% 34.40/35.02  (assume @p37 (forall @t6 (= @t79 (= @t16 tptp.empty_set))))
% 34.40/35.02  (assume @p38 (forall @t11 (=> @t12 (forall @t47 (=> @t27 (forall @t42 (=> @t38 (= (= @t18 @t80) (forall @t36 (= @t35 (exists (@list @t62) (and (tptp.in (tptp.ordered_pair @t17 @t62) @t1) (tptp.in (tptp.ordered_pair @t62 @t31) @t2)))))))))))))
% 34.40/35.02  (assume @p39 (forall @t6 (=> @t83 (forall @t42 (=> (tptp.element @t18 @t82) (= (= @t18 @t81) (forall @t46 (=> (tptp.element @t17 @t56) (= @t45 (tptp.in (tptp.subset_complement @t1 @t17) @t2))))))))))
% 34.40/35.02  (assume @p40 (forall @t6 (= @t8 (and @t29 @t84))))
% 34.40/35.02  (assume @p41 true)
% 34.40/35.02  (assume @p42 (forall @t11 (tptp.element @t70 @t56)))
% 34.40/35.02  (assume @p43 (forall @t6 (=> @t76 (tptp.element @t75 @t56))))
% 34.40/35.02  (assume @p44 (forall @t11 (=> @t12 (tptp.relation @t78))))
% 34.40/35.02  (assume @p45 (forall @t6 (=> @t86 @t85)))
% 34.40/35.02  (assume @p46 (forall @t6 (=> @t83 (tptp.element @t87 @t56))))
% 34.40/35.02  (assume @p47 (forall @t11 @t88))
% 34.40/35.02  (assume @p48 (forall @t6 (=> @t83 (tptp.element @t89 @t56))))
% 34.40/35.02  (assume @p49 (forall @t61 (=> @t92 (tptp.element @t90 @t56))))
% 34.40/35.02  (assume @p50 (forall @t6 (=> @t12 (tptp.relation @t37))))
% 34.40/35.02  (assume @p51 (forall @t6 (=> @t83 (tptp.element @t81 @t82))))
% 34.40/35.02  (assume @p52 (forall @t6 (=> @t27 (tptp.relation @t41))))
% 34.40/35.02  (assume @p53 (forall @t11 (exists @t47 @t59)))
% 34.40/35.02  (assume @p54 (forall @t6 (=> @t94 (and (tptp.empty @t93) (tptp.relation @t93)))))
% 34.40/35.02  (assume @p55 (and @t96 @t95 (tptp.relation_empty_yielding tptp.empty_set)))
% 34.40/35.02  (assume @p56 (forall @t6 (=> (and @t12 @t9 @t27 @t97) (and @t85 (tptp.function @t80)))))
% 34.40/35.02  (assume @p57 (forall @t6 (=> @t86 (tptp.relation @t16))))
% 34.40/35.02  (assume @p58 (forall @t11 (not (tptp.empty @t56))))
% 34.40/35.02  (assume @p59 @t96)
% 34.40/35.02  (assume @p60 (forall @t6 (not (tptp.empty @t77))))
% 34.40/35.02  (assume @p61 (forall @t11 (and @t88 (tptp.function @t24))))
% 34.40/35.02  (assume @p62 (forall @t6 (=> @t86 (tptp.relation @t15))))
% 34.40/35.02  (assume @p63 (forall @t11 (not (tptp.empty @t55))))
% 34.40/35.02  (assume @p64 (forall @t6 (=> @t60 (not (tptp.empty @t15)))))
% 34.40/35.02  (assume @p65 (forall @t6 (not (tptp.empty @t13))))
% 34.40/35.02  (assume @p66 (forall @t6 (=> @t60 (not (tptp.empty @t14)))))
% 34.40/35.02  (assume @p67 (and @t96 @t95))
% 34.40/35.02  (assume @p68 (forall @t6 (=> (and @t60 @t98) (not (tptp.empty @t63)))))
% 34.40/35.02  (assume @p69 (forall @t11 (=> @t100 (not @t99))))
% 34.40/35.02  (assume @p70 (forall @t11 (=> @t100 (not @t101))))
% 34.40/35.02  (assume @p71 (forall @t11 (=> @t10 (and @t99 (tptp.relation @t66)))))
% 34.40/35.02  (assume @p72 (forall @t11 (=> @t10 (and @t101 (tptp.relation @t74)))))
% 34.40/35.02  (assume @p73 (forall @t6 (=> @t94 (and (tptp.empty @t80) @t85))))
% 34.40/35.02  (assume @p74 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1)))
% 34.40/35.02  (assume @p75 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1)))
% 34.40/35.02  (assume @p76 (forall @t6 (=> @t76 (= (tptp.subset_complement @t1 @t75) @t2))))
% 34.40/35.02  (assume @p77 (forall @t11 (=> @t12 (= (tptp.relation_inverse @t78) @t1))))
% 34.40/35.02  (assume @p78 (forall @t6 (=> @t83 (= (tptp.complements_of_subsets @t1 @t81) @t2))))
% 34.40/35.02  (assume @p79 (forall @t6 (not (tptp.proper_subset @t1 @t1))))
% 34.40/35.02  (assume @p80 (forall @t11 (not (= @t55 tptp.empty_set))))
% 34.40/35.02  (assume @p81 (forall @t6 (=> @t5 (= (tptp.set_union2 @t55 @t2) @t2))))
% 34.40/35.02  (assume @p82 (forall @t6 (not (and @t102 @t5))))
% 34.40/35.02  (assume @p83 (forall @t6 (=> (not @t5) @t102)))
% 34.40/35.02  (assume @p84 (forall @t6 (= (tptp.subset @t55 @t2) @t5)))
% 34.40/35.02  (assume @p85 (forall @t6 (= (= @t72 tptp.empty_set) @t29)))
% 34.40/35.02  (assume @p86 (forall @t6 (=> @t76 (forall @t42 (=> @t53 @t20)))))
% 34.40/35.02  (assume @p87 (forall @t61 (=> @t29 (or @t20 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t18)))))))
% 34.40/35.02  (assume @p88 (forall @t6 (= (tptp.subset @t1 @t103) (or @t50 (= @t1 @t103)))))
% 34.40/35.02  (assume @p89 (forall @t6 (=> @t5 (tptp.subset @t1 @t104))))
% 34.40/35.02  (assume @p90 (forall @t106 (= (tptp.in @t77 (tptp.cartesian_product2 @t18 @t17)) (and @t105 (tptp.in @t2 @t17)))))
% 34.40/35.02  (assume @p91 (forall @t6 (=> @t64 @t107)))
% 34.40/35.02  (assume @p92 (exists @t11 @t69))
% 34.40/35.02  (assume @p93 (exists @t11 (and @t10 @t12)))
% 34.40/35.02  (assume @p94 (forall @t11 (=> @t60 (exists @t47 (and @t76 @t98)))))
% 34.40/35.02  (assume @p95 (exists @t11 @t10))
% 34.40/35.02  (assume @p96 (exists @t11 @t100))
% 34.40/35.02  (assume @p97 (forall @t11 (exists @t47 (and @t76 @t58))))
% 34.40/35.02  (assume @p98 (exists @t11 @t60))
% 34.40/35.02  (assume @p99 (exists @t11 (and @t12 (tptp.relation_empty_yielding @t1))))
% 34.40/35.02  (assume @p100 (forall @t6 (=> @t83 (= @t87 @t104))))
% 34.40/35.02  (assume @p101 (forall @t6 (=> @t83 (= @t89 (tptp.set_meet @t2)))))
% 34.40/35.02  (assume @p102 (forall @t61 (=> @t92 (= @t90 @t108))))
% 34.40/35.02  (assume @p103 (forall @t6 (tptp.subset @t1 @t1)))
% 34.40/35.02  (assume @p104 (forall @t6 (=> @t79 (tptp.disjoint @t2 @t1))))
% 34.40/35.02  (assume @p105 (forall @t106 (not (and (= @t13 (tptp.unordered_pair @t18 @t17)) (not @t109) (not (= @t1 @t17))))))
% 34.40/35.02  (assume @p106 (forall @t61 (=> @t38 (= (tptp.in @t1 (tptp.relation_rng (tptp.relation_rng_restriction @t2 @t18))) (and @t5 (tptp.in @t1 @t110))))))
% 34.40/35.02  (assume @p107 (forall @t6 (=> @t27 (tptp.subset @t111 @t1))))
% 34.40/35.02  (assume @p108 (forall @t6 (=> @t27 (tptp.subset @t41 @t2))))
% 34.40/35.02  (assume @p109 (forall @t6 (=> @t27 (tptp.subset @t111 @t112))))
% 34.40/35.02  (assume @p110 (forall @t61 (=> @t29 (and (tptp.subset @t113 (tptp.cartesian_product2 @t2 @t18)) (tptp.subset (tptp.cartesian_product2 @t18 @t1) (tptp.cartesian_product2 @t18 @t2))))))
% 34.40/35.02  (assume @p111 (forall @t6 (=> @t27 (= @t111 (tptp.set_intersection2 @t112 @t1)))))
% 34.40/35.02  (assume @p112 (forall @t106 (=> (and @t29 (tptp.subset @t18 @t17)) (tptp.subset @t113 (tptp.cartesian_product2 @t2 @t17)))))
% 34.40/35.02  (assume @p113 (forall @t6 (=> @t29 (= @t15 @t2))))
% 34.40/35.02  (assume @p114 (forall @t11 (exists @t47 (and @t5 @t118 (forall @t42 (=> @t53 (tptp.in @t117 @t2))) @t116))))
% 34.40/35.02  (assume @p115 (forall @t61 (=> @t38 (= (tptp.relation_dom_restriction (tptp.relation_rng_restriction @t1 @t18) @t2) (tptp.relation_rng_restriction @t1 @t119)))))
% 34.40/35.02  (assume @p116 @t128)
% 34.40/35.02  (assume @p117 (forall @t6 (=> @t27 (tptp.subset @t129 @t112))))
% 34.40/35.02  (assume @p118 (forall @t6 (=> @t27 (= @t129 (tptp.relation_image @t2 @t131)))))
% 34.40/35.02  (assume @p119 @t134)
% 34.40/35.02  (assume @p120 (forall @t11 (=> @t12 (forall @t47 (=> @t27 (= @t135 (tptp.relation_image @t2 @t74)))))))
% 34.40/35.02  (assume @p121 (forall @t61 (=> @t38 (= (tptp.in @t1 @t136) (exists @t46 (and (tptp.in @t17 @t110) (tptp.in (tptp.ordered_pair @t1 @t17) @t18) @t34))))))
% 34.40/35.02  (assume @p122 (forall @t6 (=> @t27 (tptp.subset @t137 @t130))))
% 34.40/35.02  (assume @p123 (forall @t6 (=> @t27 (not (and @t54 (tptp.subset @t1 @t112) (= @t137 tptp.empty_set))))))
% 34.40/35.02  (assume @p124 (forall @t61 (=> @t38 (=> @t29 (tptp.subset (tptp.relation_inverse_image @t18 @t1) @t136)))))
% 34.40/35.02  (assume @p125 (forall @t6 (tptp.subset @t16 @t1)))
% 34.40/35.02  (assume @p126 (forall @t61 (=> (and @t29 @t139) (tptp.subset @t1 @t138))))
% 34.40/35.02  (assume @p127 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1)))
% 34.40/35.02  (assume @p128 (forall @t6 (=> @t5 @t140)))
% 34.40/35.02  (assume @p129 (forall @t61 (=> (and @t29 (tptp.subset @t2 @t18)) @t139)))
% 34.40/35.02  (assume @p130 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set)))
% 34.40/35.02  (assume @p131 (forall @t61 (=> @t38 (=> @t142 (and @t141 (tptp.in @t2 @t110))))))
% 34.40/35.02  (assume @p132 (forall @t6 (=> @t148 (forall @t42 (=> @t147 (= @t145 (and @t141 (tptp.in @t143 @t130))))))))
% 34.40/35.02  (assume @p133 (forall @t11 (=> @t12 (tptp.subset @t1 (tptp.cartesian_product2 @t66 @t74)))))
% 34.40/35.02  (assume @p134 (forall @t6 (=> @t148 (forall @t42 (=> @t147 (=> @t145 (= (tptp.apply @t144 @t1) (tptp.apply @t2 @t143))))))))
% 34.40/35.02  (assume @p135 (forall @t6 (=> @t148 (forall @t42 (=> @t147 (=> (tptp.in @t1 @t130) (= (tptp.apply (tptp.relation_composition @t2 @t18) @t1) (tptp.apply @t18 (tptp.apply @t2 @t1)))))))))
% 34.40/35.02  (assume @p136 (forall @t11 (=> @t12 (forall @t47 (=> @t27 (=> @t29 (and (tptp.subset @t66 @t130) (tptp.subset @t74 @t112))))))))
% 34.40/35.02  (assume @p137 (forall @t61 (=> @t29 (tptp.subset (tptp.set_intersection2 @t1 @t18) @t138))))
% 34.40/35.02  (assume @p138 (forall @t6 (=> @t29 (= @t16 @t1))))
% 34.40/35.02  (assume @p139 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set)))
% 34.40/35.02  (assume @p140 (forall @t6 (=> @t140 (or @t58 @t5))))
% 34.40/35.02  (assume @p141 (forall @t6 (=> (forall @t42 (= @t20 @t53)) @t30)))
% 34.40/35.02  (assume @p142 (forall @t11 (tptp.subset tptp.empty_set @t1)))
% 34.40/35.02  (assume @p143 (forall @t61 (=> @t38 (=> @t142 (and (tptp.in @t1 @t149) (tptp.in @t2 @t149))))))
% 34.40/35.02  (assume @p144 (forall @t61 (=> @t29 (tptp.subset (tptp.set_difference @t1 @t18) @t108))))
% 34.40/35.02  (assume @p145 (forall @t106 (=> (= @t77 @t21) (and @t109 (= @t2 @t17)))))
% 34.40/35.02  (assume @p146 @t157)
% 34.40/35.02  (assume @p147 (forall @t6 (tptp.subset @t72 @t1)))
% 34.40/35.02  (assume @p148 (forall @t11 (=> @t12 (and (= @t74 (tptp.relation_dom @t78)) (= @t66 (tptp.relation_rng @t78))))))
% 34.40/35.02  (assume @p149 (forall @t61 (= (tptp.subset @t13 @t18) (and @t105 @t158))))
% 34.40/35.02  (assume @p150 (forall @t6 (= @t159 @t15)))
% 34.40/35.02  (assume @p151 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1)))
% 34.40/35.02  (assume @p152 (forall @t6 (= @t107 @t29)))
% 34.40/35.02  (assume @p153 (forall @t6 (and (not (and @t161 (forall @t42 (not @t160)))) (not (and (exists @t42 @t160) @t79)))))
% 34.40/35.02  (assume @p154 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t50)))
% 34.40/35.02  (assume @p155 (forall @t6 (= (tptp.set_difference @t15 @t2) @t72)))
% 34.40/35.02  (assume @p156 (forall @t6 (=> @t76 (forall @t42 (=> @t91 (= @t163 (tptp.subset @t2 @t162)))))))
% 34.40/35.02  (assume @p157 (forall @t11 (=> @t12 (forall @t47 (=> @t27 (tptp.subset @t164 @t66))))))
% 34.40/35.02  (assume @p158 (forall @t11 (=> @t12 (forall @t47 (=> @t27 (tptp.subset @t135 @t112))))))
% 34.40/35.02  (assume @p159 (forall @t6 (=> @t29 (= @t2 @t159))))
% 34.40/35.02  (assume @p160 (forall @t11 (=> @t12 (forall @t47 (=> @t27 (=> (tptp.subset @t74 @t130) (= @t164 @t66)))))))
% 34.40/35.02  (assume @p161 (forall @t6 (=> @t83 (not (and @t165 (= @t81 tptp.empty_set))))))
% 34.40/35.02  (assume @p162 (forall @t11 (=> @t12 (forall @t47 (=> @t27 (=> (tptp.subset @t66 @t112) (= (tptp.relation_rng @t93) @t74)))))))
% 34.40/35.02  (assume @p163 (forall @t6 (=> @t83 (=> @t165 (= (tptp.subset_difference @t1 @t70 @t87) (tptp.meet_of_subsets @t1 @t81))))))
% 34.40/35.02  (assume @p164 (forall @t6 (=> @t83 (=> @t165 (= (tptp.union_of_subsets @t1 @t81) (tptp.subset_difference @t1 @t70 @t89))))))
% 34.40/35.02  (assume @p165 (forall @t6 (= (tptp.set_difference @t1 @t72) @t16)))
% 34.40/35.02  (assume @p166 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set)))
% 34.40/35.02  (assume @p167 (forall @t61 (=> (and @t5 @t166) (tptp.element @t1 @t18))))
% 34.40/35.02  (assume @p168 (forall @t6 (and (not (and @t161 (forall @t42 (not @t167)))) (not (and (exists @t42 @t167) @t79)))))
% 34.40/35.02  (assume @p169 (forall @t11 (=> @t54 (forall @t47 (=> @t76 (forall @t42 (=> (tptp.element @t18 @t1) (=> @t114 (tptp.in @t18 @t75)))))))))
% 34.40/35.02  (assume @p170 (forall @t61 (=> @t91 (not (and (tptp.in @t2 @t162) @t158)))))
% 34.40/35.02  (assume @p171 (forall @t11 (=> @t12 (=> (forall @t39 (not @t68)) @t50))))
% 34.40/35.02  (assume @p172 (forall @t61 (not (and @t5 @t166 (tptp.empty @t18)))))
% 34.40/35.02  (assume @p173 (and (= (tptp.relation_dom tptp.empty_set) tptp.empty_set) (= (tptp.relation_rng tptp.empty_set) tptp.empty_set)))
% 34.40/35.02  (assume @p174 (forall @t6 (not (and @t29 @t7))))
% 34.40/35.02  (assume @p175 (forall @t61 (=> (and @t29 @t163) (tptp.disjoint @t1 @t18))))
% 34.40/35.02  (assume @p176 (forall @t11 (=> @t12 (=> (or @t169 @t168) @t50))))
% 34.40/35.02  (assume @p177 (forall @t11 (=> @t12 (= @t169 @t168))))
% 34.40/35.02  (assume @p178 (forall @t6 (= (= (tptp.set_difference @t1 @t103) @t1) @t4)))
% 34.40/35.02  (assume @p179 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t55)))
% 34.40/35.02  (assume @p180 (forall @t11 (=> @t10 @t50)))
% 34.40/35.02  (assume @p181 (forall @t6 (=> (tptp.subset @t55 @t103) @t30)))
% 34.40/35.02  (assume @p182 @t173)
% 34.40/35.02  (assume @p183 (forall @t106 (=> (tptp.relation @t17) (= (tptp.in @t77 (tptp.relation_composition (tptp.identity_relation @t18) @t17)) (and @t105 (tptp.in @t77 @t17))))))
% 34.40/35.02  (assume @p184 (forall @t6 (not (and @t5 @t58))))
% 34.40/35.02  (assume @p185 (forall @t6 (tptp.subset @t1 @t15)))
% 34.40/35.02  (assume @p186 (forall @t6 (= @t79 (= @t72 @t1))))
% 34.40/35.02  (assume @p187 (forall @t61 (=> @t38 (= (tptp.in @t1 (tptp.relation_dom @t119)) (and @t5 @t141)))))
% 34.40/35.02  (assume @p188 (forall @t6 (=> @t27 (tptp.subset @t174 @t2))))
% 34.40/35.02  (assume @p189 (forall @t6 (not (and @t10 @t84 @t58))))
% 34.40/35.02  (assume @p190 @t176)
% 34.40/35.02  (assume @p191 (forall @t61 (=> (and @t29 @t115) (tptp.subset (tptp.set_union2 @t1 @t18) @t2))))
% 34.40/35.02  (assume @p192 (forall @t61 (=> @t177 @t30)))
% 34.40/35.02  (assume @p193 (forall @t6 (=> @t27 (= (tptp.relation_dom @t174) @t131))))
% 34.40/35.02  (assume @p194 (forall @t6 (=> @t27 (= @t174 (tptp.relation_composition @t24 @t2)))))
% 34.40/35.02  (assume @p195 (forall @t6 (=> @t27 (tptp.subset (tptp.relation_rng @t174) @t112))))
% 34.40/35.02  (assume @p196 (forall @t11 (= (tptp.union @t56) @t1)))
% 34.40/35.02  (assume @p197 (forall @t11 (exists @t47 (and @t5 @t118 (forall @t42 (not (and @t53 (forall @t46 (not (and @t34 (forall @t44 (=> (tptp.subset @t31 @t18) (tptp.in @t31 @t17))))))))) @t116))))
% 34.40/35.02  (assume @p198 (forall @t61 (=> @t177 (= @t2 @t18))))
% 34.40/35.02  (step @p199 :rule aci_norm :args ((= (or (or @t179 @t178) @t175) (or @t179 @t178 @t175))))
% 34.40/35.02  (step @p200 :rule refl :args (@t175))
% 34.40/35.02  (step @p201 :rule bool-and-de-morgan :args (@t38 @t146 true))
% 34.40/35.02  (step @p202 :rule nary_cong :premises (@p201 @p200) :args ((or (not @t147) @t175)))
% 34.40/35.02  (step @p203 :rule trans :premises (@p202 @p199))
% 34.40/35.02  (step @p204 :rule bool-impl-elim :args (@t147 @t175))
% 34.40/35.02  (step @p205 :rule trans :premises (@p204 @p203))
% 34.40/35.02  (step @p206 :rule cong :premises (@p205) :args (@t176))
% 34.40/35.02  (step @p207 :rule eq_resolve :premises (@p190 @p206))
% 34.40/35.02  (step @p208 :rule instantiate :premises (@p207) :args ((@list @t191 @t190 @t186)))
% 34.40/35.02  (step @p209 :rule aci_norm :args ((= (or (or @t183 @t182) @t181) @t184)))
% 34.40/35.02  (step @p210 :rule refl :args (@t181))
% 34.40/35.02  (step @p211 :rule bool-and-de-morgan :args (@t27 @t97 true))
% 34.40/35.02  (step @p212 :rule nary_cong :premises (@p211 @p210) :args ((or (not @t148) @t181)))
% 34.40/35.02  (step @p213 :rule trans :premises (@p212 @p209))
% 34.40/35.02  (step @p214 :rule bool-impl-elim :args (@t148 @t181))
% 34.40/35.02  (step @p215 :rule trans :premises (@p214 @p213))
% 34.40/35.02  (step @p216 :rule cong :premises (@p215) :args ((forall @t6 (=> @t148 @t181))))
% 34.40/35.02  (step @p217 :rule bool-impl-elim :args (@t20 @t180))
% 34.40/35.02  (step @p218 :rule cong :premises (@p217) :args ((forall @t42 (=> @t20 @t180))))
% 34.40/35.02  (step @p219 :rule eq-symm :args (@t150 @t18))
% 34.40/35.02  (step @p220 :rule refl :args (@t20))
% 34.40/35.02  (step @p221 :rule cong :premises (@p220 @p219) :args (@t151))
% 34.40/35.02  (step @p222 :rule cong :premises (@p221) :args (@t152))
% 34.40/35.02  (step @p223 :rule trans :premises (@p222 @p218))
% 34.40/35.02  (step @p224 :rule eq-symm :args (@t130 @t1))
% 34.40/35.02  (step @p225 :rule nary_cong :premises (@p224 @p223) :args (@t153))
% 34.40/35.02  (step @p226 :rule refl :args (@t25))
% 34.40/35.02  (step @p227 :rule cong :premises (@p226 @p225) :args (@t154))
% 34.40/35.02  (step @p228 :rule refl :args (@t148))
% 34.40/35.02  (step @p229 :rule cong :premises (@p228 @p227) :args (@t155))
% 34.40/35.02  (step @p230 :rule cong :premises (@p229) :args (@t156))
% 34.40/35.02  (step @p231 :rule trans :premises (@p230 @p216))
% 34.40/35.02  (step @p232 :rule cong :premises (@p231) :args (@t157))
% 34.40/35.02  (step @p233 :rule eq_resolve :premises (@p146 @p232))
% 34.40/35.02  (step @p234 :rule skolemize :premises (@p233))
% 34.40/35.02  (step @p235 :rule bool-double-not-elim :args (@t192))
% 34.40/35.02  (step @p236 :rule refl :args (@t203))
% 34.40/35.02  (step @p237 :rule nary_cong :premises (@p236 @p235) :args ((or @t203 (not @t200))))
% 34.40/35.02  (step @p238 :rule cnf_or_neg :args (@t203 1))
% 34.40/35.02  (step @p239 :rule eq_resolve :premises (@p238 @p237))
% 34.40/35.02  (step @p240 :rule reordering :premises (@p239) :args ((or @t192 @t203)))
% 34.40/35.02  (step @p241 :rule chain_m_resolution :premises (@p240 @p234) :args (@t192 @t204 @t205))
% 34.40/35.02  (step @p242 :rule bool-double-not-elim :args (@t201))
% 34.40/35.02  (step @p243 :rule nary_cong :premises (@p236 @p242) :args ((or @t203 (not @t202))))
% 34.40/35.02  (step @p244 :rule cnf_or_neg :args (@t203 0))
% 34.40/35.02  (step @p245 :rule eq_resolve :premises (@p244 @p243))
% 34.40/35.02  (step @p246 :rule reordering :premises (@p245) :args ((or @t201 @t203)))
% 34.40/35.02  (step @p247 :rule chain_m_resolution :premises (@p246 @p234) :args (@t201 @t204 @t205))
% 34.40/35.02  (step @p248 :rule cnf_or_pos :args (@t212))
% 34.40/35.02  (step @p249 :rule reordering :premises (@p248) :args ((or @t202 @t200 @t211 (not @t212))))
% 34.40/35.02  (step @p250 :rule chain_m_resolution :premises (@p249 @p247 @p241 @p208) :args (@t211 @t213 (@list @t201 @t192 @t212)))
% 34.40/35.02  (step @p251 :rule bool-impl-elim :args (@t27 @t26))
% 34.40/35.02  (step @p252 :rule cong :premises (@p251) :args (@t28))
% 34.40/35.02  (step @p253 :rule eq_resolve :premises (@p8 @p252))
% 34.40/35.02  (step @p254 :rule instantiate :premises (@p253) :args ((@list @t187 @t186)))
% 34.40/35.02  (step @p255 :rule cnf_or_pos :args (@t215))
% 34.40/35.02  (step @p256 :rule reordering :premises (@p255) :args ((or @t202 @t214 (not @t215))))
% 34.40/35.02  (step @p257 :rule chain_m_resolution :premises (@p256 @p247 @p254) :args (@t214 @t216 (@list @t201 @t215)))
% 34.40/35.02  (step @p258 :rule cnf_or_neg :args (@t203 2))
% 34.40/35.02  (step @p259 :rule chain_m_resolution :premises (@p258 @p234) :args ((not @t199) @t204 @t205))
% 34.40/35.02  (step @p260 :rule cnf_equiv_neg2 :args (@t199))
% 34.40/35.02  (step @p261 :rule cnf_equiv_pos1 :args (@t214))
% 34.40/35.02  (step @p262 :rule reordering :premises (@p261) :args ((or @t218 @t189 @t217)))
% 34.40/35.02  (step @p263 :rule alpha_equiv :args (@t220 @t221 (@list (@var "BOUND_VARIABLE_10113" $$unsorted))))
% 34.40/35.02  (step @p264 :rule alpha_equiv :args (@t223 @t221 (@list (@var "BOUND_VARIABLE_10106" $$unsorted))))
% 34.40/35.02  (step @p265 :rule nary_cong :premises (@p264 @p263) :args (@t224))
% 34.40/35.02  (step @p266 :rule quant-miniscope-and :args ((= (forall @t11 (and @t222 @t219)) @t224)))
% 34.40/35.02  (step @p267 :rule trans :premises (@p266 @p265))
% 34.40/35.02  (step @p268 :rule eq-symm :args (@t170 @t1))
% 34.40/35.02  (step @p269 :rule eq-symm :args (@t171 @t1))
% 34.40/35.02  (step @p270 :rule nary_cong :premises (@p269 @p268) :args (@t172))
% 34.40/35.02  (step @p271 :rule cong :premises (@p270) :args (@t173))
% 34.40/35.02  (step @p272 :rule trans :premises (@p271 @p267))
% 34.40/35.02  (step @p273 :rule eq_resolve :premises (@p182 @p272))
% 34.40/35.02  (step @p274 :rule and_elim :premises (@p273) :args (0))
% 34.40/35.02  (step @p275 :rule instantiate :premises (@p274) :args (@t225))
% 34.40/35.02  (assume-push @p600 @t198)
% 34.40/35.02  (assume-push @p601 @t227)
% 34.40/35.02  (assume-push @p602 @t198)
% 34.40/35.02  (assume-push @p603 @t227)
% 34.40/35.02  (step @p280 :rule symm :premises (@p600))
% 34.40/35.02  (step @p281 :rule cong :premises (@p280) :args (@t226))
% 34.40/35.02  (step @p282 :rule trans :premises (@p275 @p281))
% 34.40/35.02  (step-pop @p604 :rule scope :premises (@p282))
% 34.40/35.02  (step-pop @p605 :rule scope :premises (@p604))
% 34.40/35.02  (step @p283 :rule process_scope :premises (@p605) :args (@t195))
% 34.40/35.02  (step @p286 :rule and_intro :premises (@p600 @p275))
% 34.40/35.02  (step @p287 :rule modus_ponens :premises (@p286 @p283))
% 34.40/35.02  (step-pop @p606 :rule scope :premises (@p287))
% 34.40/35.02  (step-pop @p607 :rule scope :premises (@p606))
% 34.40/35.02  (step @p288 :rule process_scope :premises (@p607) :args (@t195))
% 34.40/35.02  (step @p291 :rule implies_elim :premises (@p288))
% 34.40/35.02  (step @p292 :rule cnf_and_neg :args (@t228))
% 34.40/35.02  (step @p293 :rule resolution :premises (@p292 @p291) :args (true @t228))
% 34.40/35.02  (step @p294 :rule reordering :premises (@p293) :args ((or @t195 @t218 (not @t227))))
% 34.40/35.02  (step @p295 :rule eq-symm :args (@t232 @t230))
% 34.40/35.02  (step @p296 :rule refl :args (@t233))
% 34.40/35.02  (step @p297 :rule nary_cong :premises (@p296 @p295) :args (@t234))
% 34.40/35.02  (step @p298 :rule refl :args (@t235))
% 34.40/35.02  (step @p299 :rule cong :premises (@p298 @p297) :args (@t236))
% 34.40/35.02  (step @p300 :rule refl :args (@t189))
% 34.40/35.02  (step @p301 :rule cong :premises (@p300 @p299) :args ((=> @t189 @t236)))
% 34.40/35.02  (assume-push @p608 @t189)
% 34.40/35.02  (step @p303 :rule instantiate :premises (@p608) :args ((@list @t232 @t230)))
% 34.40/35.02  (step-pop @p609 :rule scope :premises (@p303))
% 34.40/35.02  (step @p304 :rule process_scope :premises (@p609) :args (@t236))
% 34.40/35.02  (step @p306 :rule eq_resolve :premises (@p304 @p301))
% 34.40/35.02  (step @p307 :rule implies_elim :premises (@p306))
% 34.40/35.02  (step @p308 :rule cnf_and_neg :args (@t196))
% 34.40/35.02  (step @p309 :rule refl :args (@t241))
% 34.40/35.02  (step @p310 :rule bool-double-not-elim :args (@t193))
% 34.40/35.02  (step @p311 :rule nary_cong :premises (@p310 @p309) :args ((or (not @t242) @t241)))
% 34.40/35.02  (assume-push @p610 @t242)
% 34.40/35.02  (step @p313 :rule skolemize :premises (@p610))
% 34.40/35.02  (step-pop @p611 :rule scope :premises (@p313))
% 34.40/35.02  (step @p314 :rule process_scope :premises (@p611) :args (@t241))
% 34.40/35.02  (step @p316 :rule implies_elim :premises (@p314))
% 34.40/35.02  (step @p317 :rule eq_resolve :premises (@p316 @p311))
% 34.40/35.02  (step @p318 :rule bool-double-not-elim :args (@t238))
% 34.40/35.02  (step @p319 :rule refl :args (@t240))
% 34.40/35.02  (step @p320 :rule nary_cong :premises (@p319 @p318) :args ((or @t240 (not @t239))))
% 34.40/35.02  (step @p321 :rule cnf_or_neg :args (@t240 0))
% 34.40/35.02  (step @p322 :rule eq_resolve :premises (@p321 @p320))
% 34.40/35.02  (step @p323 :rule reordering :premises (@p322) :args ((or @t238 @t240)))
% 34.40/35.02  (step @p324 :rule cnf_or_neg :args (@t240 1))
% 34.40/35.02  (step @p325 :rule and_elim :premises (@p273) :args (1))
% 34.40/35.02  (step @p326 :rule instantiate :premises (@p325) :args (@t225))
% 34.40/35.02  (step @p327 :rule bool-impl-elim :args (@t12 @t243))
% 34.40/35.02  (step @p328 :rule cong :premises (@p327) :args ((forall @t11 (=> @t12 @t243))))
% 34.40/35.02  (step @p329 :rule eq-symm :args (@t132 @t74))
% 34.40/35.02  (step @p330 :rule refl :args (@t12))
% 34.40/35.02  (step @p331 :rule cong :premises (@p330 @p329) :args (@t133))
% 34.40/35.02  (step @p332 :rule cong :premises (@p331) :args (@t134))
% 34.40/35.02  (step @p333 :rule trans :premises (@p332 @p328))
% 34.40/35.02  (step @p334 :rule eq_resolve :premises (@p119 @p333))
% 34.40/35.02  (step @p335 :rule instantiate :premises (@p334) :args ((@list @t186)))
% 34.40/35.02  (step @p336 :rule cnf_or_pos :args (@t245))
% 34.40/35.02  (step @p337 :rule reordering :premises (@p336) :args ((or @t202 @t244 (not @t245))))
% 34.40/35.02  (step @p338 :rule chain_m_resolution :premises (@p337 @p247 @p335) :args (@t244 @t216 (@list @t201 @t245)))
% 34.40/35.02  (assume-push @p612 @t198)
% 34.40/35.02  (assume-push @p613 @t227)
% 34.40/35.02  (assume-push @p614 @t238)
% 34.40/35.02  (assume-push @p615 @t244)
% 34.40/35.02  (assume-push @p616 @t246)
% 34.40/35.02  (assume-push @p617 @t238)
% 34.40/35.02  (assume-push @p618 @t246)
% 34.40/35.02  (assume-push @p619 @t198)
% 34.40/35.02  (assume-push @p620 @t244)
% 34.40/35.02  (assume-push @p621 @t227)
% 34.40/35.02  (step @p349 :rule true_intro :premises (@p614))
% 34.40/35.02  (step @p350 :rule symm :premises (@p326))
% 34.40/35.02  (step @p351 :rule cong :premises (@p612) :args (@t229))
% 34.40/35.02  (step @p352 :rule symm :premises (@p338))
% 34.40/35.02  (step @p353 :rule symm :premises (@p612))
% 34.40/35.02  (step @p354 :rule cong :premises (@p353) :args (@t226))
% 34.40/35.02  (step @p355 :rule trans :premises (@p351 @p350 @p275 @p354))
% 34.40/35.02  (step @p356 :rule refl :args (@t186))
% 34.40/35.02  (step @p357 :rule cong :premises (@p356 @p355) :args (@t247))
% 34.40/35.02  (step @p358 :rule trans :premises (@p357 @p352 @p351 @p350))
% 34.40/35.02  (step @p359 :rule refl :args (@t230))
% 34.40/35.02  (step @p360 :rule cong :premises (@p359 @p358) :args (@t248))
% 34.40/35.02  (step @p361 :rule trans :premises (@p360 @p349))
% 34.40/35.02  (step @p362 :rule true_elim :premises (@p361))
% 34.40/35.02  (step-pop @p622 :rule scope :premises (@p362))
% 34.40/35.02  (step-pop @p623 :rule scope :premises (@p622))
% 34.40/35.02  (step-pop @p624 :rule scope :premises (@p623))
% 34.40/35.02  (step-pop @p625 :rule scope :premises (@p624))
% 34.40/35.02  (step-pop @p626 :rule scope :premises (@p625))
% 34.40/35.02  (step @p363 :rule process_scope :premises (@p626) :args (@t248))
% 34.40/35.02  (step @p369 :rule and_intro :premises (@p614 @p326 @p612 @p338 @p275))
% 34.40/35.02  (step @p370 :rule modus_ponens :premises (@p369 @p363))
% 34.40/35.02  (step-pop @p627 :rule scope :premises (@p370))
% 34.40/35.02  (step-pop @p628 :rule scope :premises (@p627))
% 34.40/35.02  (step-pop @p629 :rule scope :premises (@p628))
% 34.40/35.02  (step-pop @p630 :rule scope :premises (@p629))
% 34.40/35.02  (step-pop @p631 :rule scope :premises (@p630))
% 34.40/35.02  (step @p371 :rule process_scope :premises (@p631) :args (@t248))
% 34.40/35.02  (step @p377 :rule implies_elim :premises (@p371))
% 34.40/35.02  (step @p378 :rule cnf_and_neg :args (@t249))
% 34.40/35.02  (step @p379 :rule resolution :premises (@p378 @p377) :args (true @t249))
% 34.40/35.02  (step @p380 :rule bool-impl-elim :args (@t38 @t253))
% 34.40/35.02  (step @p381 :rule cong :premises (@p380) :args ((forall @t61 (=> @t38 @t253))))
% 34.40/35.02  (step @p382 :rule aci_norm :args ((= (or @t251 (or @t250 @t71)) @t252)))
% 34.40/35.02  (step @p383 :rule bool-and-de-morgan :args (@t120 @t34 true))
% 34.40/35.02  (step @p384 :rule refl :args (@t251))
% 34.40/35.02  (step @p385 :rule nary_cong :premises (@p384 @p383) :args ((or @t251 (not (and @t120 @t34)))))
% 34.40/35.02  (step @p386 :rule bool-and-de-morgan :args (@t122 @t120 (and @t34)))
% 34.40/35.02  (step @p387 :rule trans :premises (@p386 @p385))
% 34.40/35.02  (step @p388 :rule trans :premises (@p387 @p382))
% 34.40/35.02  (step @p389 :rule cong :premises (@p388) :args (@t254))
% 34.40/35.02  (step @p390 :rule cong :premises (@p389) :args (@t255))
% 34.40/35.02  (step @p391 :rule exists-elim :args ((= @t124 @t255)))
% 34.40/35.02  (step @p392 :rule trans :premises (@p391 @p390))
% 34.40/35.02  (step @p393 :rule refl :args (@t125))
% 34.40/35.02  (step @p394 :rule cong :premises (@p393 @p392) :args (@t126))
% 34.40/35.02  (step @p395 :rule refl :args (@t38))
% 34.40/35.02  (step @p396 :rule cong :premises (@p395 @p394) :args (@t127))
% 34.40/35.02  (step @p397 :rule cong :premises (@p396) :args (@t128))
% 34.40/35.02  (step @p398 :rule trans :premises (@p397 @p381))
% 34.40/35.02  (step @p399 :rule eq_resolve :premises (@p116 @p398))
% 34.40/35.02  (step @p400 :rule instantiate :premises (@p399) :args ((@list @t230 @t229 @t186)))
% 34.40/35.02  (step @p401 :rule cnf_or_pos :args (@t258))
% 34.40/35.02  (step @p402 :rule reordering :premises (@p401) :args ((or @t202 @t257 (not @t258))))
% 34.40/35.02  (step @p403 :rule chain_m_resolution :premises (@p402 @p247 @p400) :args (@t257 @t216 (@list @t201 @t258)))
% 34.40/35.02  (step @p404 :rule cnf_equiv_pos1 :args (@t257))
% 34.40/35.02  (step @p405 :rule reordering :premises (@p404) :args ((or @t256 (not @t248) (not @t257))))
% 34.40/35.02  (step @p406 :rule refl :args (@t262))
% 34.40/35.02  (step @p407 :rule bool-double-not-elim :args (@t231))
% 34.40/35.02  (step @p408 :rule nary_cong :premises (@p407 @p406) :args ((or (not @t256) @t262)))
% 34.40/35.02  (assume-push @p632 @t256)
% 34.40/35.02  (step @p410 :rule skolemize :premises (@p632))
% 34.40/35.02  (step-pop @p633 :rule scope :premises (@p410))
% 34.40/35.02  (step @p411 :rule process_scope :premises (@p633) :args (@t262))
% 34.40/35.02  (step @p413 :rule implies_elim :premises (@p411))
% 34.40/35.02  (step @p414 :rule eq_resolve :premises (@p413 @p408))
% 34.40/35.02  (step @p415 :rule bool-double-not-elim :args (@t235))
% 34.40/35.02  (step @p416 :rule refl :args (@t261))
% 34.40/35.02  (step @p417 :rule nary_cong :premises (@p416 @p415) :args ((or @t261 (not @t259))))
% 34.40/35.02  (step @p418 :rule cnf_or_neg :args (@t261 1))
% 34.40/35.02  (step @p419 :rule eq_resolve :premises (@p418 @p417))
% 34.40/35.02  (step @p420 :rule reordering :premises (@p419) :args ((or @t235 @t261)))
% 34.40/35.02  (step @p421 :rule cnf_equiv_pos1 :args (@t265))
% 34.40/35.02  (step @p422 :rule reordering :premises (@p421) :args ((or @t259 @t264 (not @t265))))
% 34.40/35.02  (step @p423 :rule instantiate :premises (@p207) :args ((@list @t232 @t230 @t186)))
% 34.40/35.02  (step @p424 :rule cnf_or_pos :args (@t270))
% 34.40/35.02  (step @p425 :rule reordering :premises (@p424) :args ((or @t202 @t200 @t269 (not @t270))))
% 34.40/35.02  (step @p426 :rule chain_m_resolution :premises (@p425 @p247 @p241 @p423) :args (@t269 @t213 (@list @t201 @t192 @t270)))
% 34.40/35.02  (step @p427 :rule cnf_equiv_pos1 :args (@t269))
% 34.40/35.02  (step @p428 :rule reordering :premises (@p427) :args ((or @t259 @t268 (not @t269))))
% 34.40/35.02  (step @p429 :rule cnf_and_pos :args (@t264 1))
% 34.40/35.02  (step @p430 :rule reordering :premises (@p429) :args ((or @t263 (not @t264))))
% 34.40/35.02  (step @p431 :rule cnf_and_pos :args (@t268 1))
% 34.40/35.02  (step @p432 :rule reordering :premises (@p431) :args ((or @t267 (not @t268))))
% 34.40/35.02  (step @p433 :rule refl :args (@t271))
% 34.40/35.02  (step @p434 :rule refl :args (@t272))
% 34.40/35.02  (step @p435 :rule bool-double-not-elim :args (@t237))
% 34.40/35.02  (step @p436 :rule nary_cong :premises (@p435 @p434 @p433) :args ((or (not @t273) @t272 @t271)))
% 34.40/35.02  (assume-push @p634 @t273)
% 34.40/35.02  (assume-push @p635 @t263)
% 34.40/35.02  (assume-push @p636 @t273)
% 34.40/35.02  (assume-push @p637 @t263)
% 34.40/35.02  (step @p441 :rule false_intro :premises (@p634))
% 34.40/35.02  (step @p442 :rule symm :premises (@p635))
% 34.40/35.02  (step @p356 :rule refl :args (@t186))
% 34.40/35.02  (step @p443 :rule cong :premises (@p356 @p442) :args (@t266))
% 34.40/35.02  (step @p359 :rule refl :args (@t230))
% 34.40/35.02  (step @p444 :rule cong :premises (@p359 @p443) :args (@t267))
% 34.40/35.02  (step @p445 :rule trans :premises (@p444 @p441))
% 34.40/35.02  (step @p446 :rule false_elim :premises (@p445))
% 34.40/35.02  (step-pop @p638 :rule scope :premises (@p446))
% 34.40/35.02  (step-pop @p639 :rule scope :premises (@p638))
% 34.40/35.02  (step @p447 :rule process_scope :premises (@p639) :args (@t271))
% 34.40/35.02  (step @p450 :rule and_intro :premises (@p634 @p635))
% 34.40/35.02  (step @p451 :rule modus_ponens :premises (@p450 @p447))
% 34.40/35.02  (step-pop @p640 :rule scope :premises (@p451))
% 34.40/35.02  (step-pop @p641 :rule scope :premises (@p640))
% 34.40/35.02  (step @p452 :rule process_scope :premises (@p641) :args (@t271))
% 34.40/35.02  (step @p455 :rule implies_elim :premises (@p452))
% 34.40/35.02  (step @p456 :rule cnf_and_neg :args (@t274))
% 34.40/35.02  (step @p457 :rule resolution :premises (@p456 @p455) :args (true @t274))
% 34.40/35.02  (step @p458 :rule eq_resolve :premises (@p457 @p436))
% 34.40/35.02  (step @p459 :rule chain_m_resolution :premises (@p458 @p432 @p430 @p428 @p426 @p422 @p420 @p414 @p405 @p403 @p379 @p338 @p326 @p275 @p324 @p323 @p317 @p308 @p307 @p294 @p275 @p262 @p257 @p260 @p259) :args (@t218 (@list false false false false false false true true false false false false false true false true true false false false false false true true) (@list @t267 @t263 @t268 @t269 @t264 @t235 @t261 @t231 @t257 @t248 @t244 @t246 @t227 @t237 @t238 @t240 @t193 @t265 @t195 @t227 @t189 @t214 @t196 @t199)))
% 34.40/35.02  (step @p460 :rule cnf_equiv_pos2 :args (@t214))
% 34.40/35.02  (step @p461 :rule reordering :premises (@p460) :args ((or @t198 @t275 @t217)))
% 34.40/35.02  (step @p462 :rule chain_m_resolution :premises (@p461 @p459 @p257) :args (@t275 @t276 (@list @t198 @t214)))
% 34.40/35.02  (step @p463 :rule refl :args (@t281))
% 34.40/35.02  (step @p464 :rule bool-double-not-elim :args (@t189))
% 34.40/35.02  (step @p465 :rule nary_cong :premises (@p464 @p463) :args ((or (not @t275) @t281)))
% 34.40/35.02  (assume-push @p642 @t275)
% 34.40/35.02  (step @p467 :rule skolemize :premises (@p642))
% 34.40/35.02  (step-pop @p643 :rule scope :premises (@p467))
% 34.40/35.02  (step @p468 :rule process_scope :premises (@p643) :args (@t281))
% 34.40/35.02  (step @p470 :rule implies_elim :premises (@p468))
% 34.40/35.02  (step @p471 :rule eq_resolve :premises (@p470 @p465))
% 34.40/35.02  (step @p472 :rule chain_m_resolution :premises (@p471 @p462) :args (@t281 @t204 (@list @t189)))
% 34.40/35.02  (step @p473 :rule cnf_equiv_neg2 :args (@t280))
% 34.40/35.02  (step @p474 :rule cnf_equiv_pos1 :args (@t211))
% 34.40/35.02  (step @p475 :rule reordering :premises (@p474) :args ((or @t283 @t209 @t282)))
% 34.40/35.02  (step @p476 :rule cnf_and_pos :args (@t209 0))
% 34.40/35.02  (step @p477 :rule reordering :premises (@p476) :args ((or @t208 @t284)))
% 34.40/35.02  (step @p478 :rule cnf_and_pos :args (@t209 1))
% 34.40/35.02  (step @p479 :rule reordering :premises (@p478) :args ((or @t207 @t284)))
% 34.40/35.02  (step @p480 :rule cnf_equiv_neg1 :args (@t199))
% 34.40/35.02  (step @p481 :rule reordering :premises (@p480) :args ((or @t198 @t196 @t199)))
% 34.40/35.02  (step @p482 :rule chain_m_resolution :premises (@p481 @p459 @p259) :args (@t196 @t285 (@list @t198 @t199)))
% 34.40/35.02  (step @p483 :rule cnf_and_pos :args (@t196 0))
% 34.40/35.02  (step @p484 :rule reordering :premises (@p483) :args ((or @t195 @t286)))
% 34.40/35.02  (step @p485 :rule chain_m_resolution :premises (@p484 @p482) :args (@t195 @t287 @t288))
% 34.40/35.02  (assume-push @p644 @t195)
% 34.40/35.02  (assume-push @p645 @t208)
% 34.40/35.02  (assume-push @p646 @t208)
% 34.40/35.02  (assume-push @p647 @t195)
% 34.40/35.02  (step @p490 :rule true_intro :premises (@p645))
% 34.40/35.02  (step @p491 :rule refl :args (@t191))
% 34.40/35.02  (step @p492 :rule cong :premises (@p491 @p644) :args (@t278))
% 34.40/35.02  (step @p493 :rule trans :premises (@p492 @p490))
% 34.40/35.02  (step @p494 :rule true_elim :premises (@p493))
% 34.40/35.02  (step-pop @p648 :rule scope :premises (@p494))
% 34.40/35.02  (step-pop @p649 :rule scope :premises (@p648))
% 34.40/35.02  (step @p495 :rule process_scope :premises (@p649) :args (@t278))
% 34.40/35.02  (step @p498 :rule and_intro :premises (@p645 @p644))
% 34.40/35.02  (step @p499 :rule modus_ponens :premises (@p498 @p495))
% 34.40/35.02  (step-pop @p650 :rule scope :premises (@p499))
% 34.40/35.02  (step-pop @p651 :rule scope :premises (@p650))
% 34.40/35.02  (step @p500 :rule process_scope :premises (@p651) :args (@t278))
% 34.40/35.02  (step @p503 :rule implies_elim :premises (@p500))
% 34.40/35.02  (step @p504 :rule cnf_and_neg :args (@t289))
% 34.40/35.02  (step @p505 :rule resolution :premises (@p504 @p503) :args (true @t289))
% 34.40/35.02  (step @p506 :rule reordering :premises (@p505) :args ((or (not @t195) @t278 (not @t208))))
% 34.40/35.02  (step @p507 :rule cnf_and_neg :args (@t279))
% 34.40/35.02  (step @p508 :rule cnf_and_pos :args (@t196 1))
% 34.40/35.02  (step @p509 :rule reordering :premises (@p508) :args ((or @t193 @t286)))
% 34.40/35.02  (step @p510 :rule chain_m_resolution :premises (@p509 @p482) :args (@t193 @t287 @t288))
% 34.40/35.02  (assume-push @p652 @t193)
% 34.40/35.02  (step @p512 :rule instantiate :premises (@p652) :args ((@list @t191)))
% 34.40/35.02  (step-pop @p653 :rule scope :premises (@p512))
% 34.40/35.02  (step @p513 :rule process_scope :premises (@p653) :args (@t292))
% 34.40/35.02  (step @p515 :rule implies_elim :premises (@p513))
% 34.40/35.02  (step @p516 :rule chain_m_resolution :premises (@p515 @p510) :args (@t292 @t287 (@list @t193)))
% 34.40/35.02  (step @p517 :rule cnf_or_pos :args (@t292))
% 34.40/35.02  (step @p518 :rule reordering :premises (@p517) :args ((or @t291 @t290 (not @t292))))
% 34.40/35.02  (step @p519 :rule refl :args (@t293))
% 34.40/35.02  (step @p520 :rule refl :args (@t294))
% 34.40/35.02  (step @p521 :rule bool-double-not-elim :args (@t277))
% 34.40/35.02  (step @p522 :rule nary_cong :premises (@p521 @p520 @p519) :args ((or (not @t295) @t294 @t293)))
% 34.40/35.02  (assume-push @p654 @t295)
% 34.40/35.02  (assume-push @p655 @t207)
% 34.40/35.02  (assume-push @p656 @t295)
% 34.40/35.02  (assume-push @p657 @t207)
% 34.40/35.02  (step @p527 :rule false_intro :premises (@p654))
% 34.40/35.02  (step @p528 :rule symm :premises (@p655))
% 34.40/35.02  (step @p491 :rule refl :args (@t191))
% 34.40/35.02  (step @p529 :rule cong :premises (@p491 @p528) :args (@t290))
% 34.40/35.02  (step @p530 :rule trans :premises (@p529 @p527))
% 34.40/35.02  (step @p531 :rule false_elim :premises (@p530))
% 34.40/35.02  (step-pop @p658 :rule scope :premises (@p531))
% 34.40/35.02  (step-pop @p659 :rule scope :premises (@p658))
% 34.40/35.02  (step @p532 :rule process_scope :premises (@p659) :args (@t293))
% 34.40/35.02  (step @p535 :rule and_intro :premises (@p654 @p655))
% 34.40/35.02  (step @p536 :rule modus_ponens :premises (@p535 @p532))
% 34.40/35.02  (step-pop @p660 :rule scope :premises (@p536))
% 34.40/35.02  (step-pop @p661 :rule scope :premises (@p660))
% 34.40/35.02  (step @p537 :rule process_scope :premises (@p661) :args (@t293))
% 34.40/35.02  (step @p540 :rule implies_elim :premises (@p537))
% 34.40/35.02  (step @p541 :rule cnf_and_neg :args (@t296))
% 34.40/35.02  (step @p542 :rule resolution :premises (@p541 @p540) :args (true @t296))
% 34.40/35.02  (step @p543 :rule eq_resolve :premises (@p542 @p522))
% 34.40/35.02  (step @p544 :rule chain_m_resolution :premises (@p543 @p518 @p516 @p507 @p506 @p485 @p479 @p477 @p475 @p250 @p473 @p472) :args (@t283 (@list false false true false false false false false false true true) (@list @t290 @t292 @t277 @t278 @t195 @t207 @t208 @t209 @t211 @t279 @t280)))
% 34.40/35.02  (step @p545 :rule cnf_equiv_pos2 :args (@t211))
% 34.40/35.02  (step @p546 :rule reordering :premises (@p545) :args ((or @t210 @t284 @t282)))
% 34.40/35.02  (step @p547 :rule chain_m_resolution :premises (@p546 @p544 @p250) :args (@t284 @t276 (@list @t210 @t211)))
% 34.40/35.02  (step @p548 :rule cnf_equiv_neg1 :args (@t280))
% 34.40/35.02  (step @p549 :rule reordering :premises (@p548) :args ((or @t210 @t279 @t280)))
% 34.40/35.02  (step @p550 :rule chain_m_resolution :premises (@p549 @p544 @p472) :args (@t279 @t285 (@list @t210 @t280)))
% 34.40/35.02  (step @p551 :rule cnf_and_pos :args (@t279 0))
% 34.40/35.02  (step @p552 :rule reordering :premises (@p551) :args ((or @t278 @t297)))
% 34.40/35.02  (step @p553 :rule chain_m_resolution :premises (@p552 @p550) :args (@t278 @t287 @t298))
% 34.40/35.02  (step @p554 :rule chain_m_resolution :premises (@p518 @p553 @p516) :args (@t290 @t216 (@list @t278 @t292)))
% 34.40/35.02  (step @p555 :rule cnf_and_pos :args (@t279 1))
% 34.40/35.02  (step @p556 :rule reordering :premises (@p555) :args ((or @t277 @t297)))
% 34.40/35.02  (step @p557 :rule chain_m_resolution :premises (@p556 @p550) :args (@t277 @t287 @t298))
% 34.40/35.02  (assume-push @p662 @t277)
% 34.40/35.02  (assume-push @p663 @t290)
% 34.40/35.02  (assume-push @p664 @t290)
% 34.40/35.02  (assume-push @p665 @t277)
% 34.40/35.02  (step @p562 :rule symm :premises (@p662))
% 34.40/35.02  (step @p563 :rule trans :premises (@p562 @p663))
% 34.40/35.02  (step-pop @p666 :rule scope :premises (@p563))
% 34.40/35.02  (step-pop @p667 :rule scope :premises (@p666))
% 34.40/35.02  (step @p564 :rule process_scope :premises (@p667) :args (@t207))
% 34.40/35.02  (step @p567 :rule and_intro :premises (@p663 @p662))
% 34.40/35.02  (step @p568 :rule modus_ponens :premises (@p567 @p564))
% 34.40/35.02  (step-pop @p668 :rule scope :premises (@p568))
% 34.40/35.02  (step-pop @p669 :rule scope :premises (@p668))
% 34.40/35.02  (step @p569 :rule process_scope :premises (@p669) :args (@t207))
% 34.40/35.02  (step @p572 :rule implies_elim :premises (@p569))
% 34.40/35.02  (step @p573 :rule cnf_and_neg :args (@t299))
% 34.40/35.02  (step @p574 :rule resolution :premises (@p573 @p572) :args (true @t299))
% 34.40/35.02  (step @p575 :rule reordering :premises (@p574) :args ((or @t295 @t207 @t293)))
% 34.40/35.02  (step @p576 :rule chain_m_resolution :premises (@p575 @p557 @p554) :args (@t207 @t216 (@list @t277 @t290)))
% 34.40/35.02  (assume-push @p670 @t195)
% 34.40/35.02  (assume-push @p671 @t278)
% 34.40/35.02  (assume-push @p672 @t278)
% 34.40/35.02  (assume-push @p673 @t195)
% 34.40/35.02  (step @p581 :rule true_intro :premises (@p671))
% 34.40/35.02  (step @p582 :rule symm :premises (@p670))
% 34.40/35.02  (step @p491 :rule refl :args (@t191))
% 34.40/35.02  (step @p583 :rule cong :premises (@p491 @p582) :args (@t208))
% 34.40/35.02  (step @p584 :rule trans :premises (@p583 @p581))
% 34.40/35.02  (step @p585 :rule true_elim :premises (@p584))
% 34.40/35.02  (step-pop @p674 :rule scope :premises (@p585))
% 34.40/35.02  (step-pop @p675 :rule scope :premises (@p674))
% 34.40/35.02  (step @p586 :rule process_scope :premises (@p675) :args (@t208))
% 34.40/35.02  (step @p589 :rule and_intro :premises (@p671 @p670))
% 34.40/35.02  (step @p590 :rule modus_ponens :premises (@p589 @p586))
% 34.40/35.02  (step-pop @p676 :rule scope :premises (@p590))
% 34.40/35.02  (step-pop @p677 :rule scope :premises (@p676))
% 34.40/35.02  (step @p591 :rule process_scope :premises (@p677) :args (@t208))
% 34.40/35.02  (step @p594 :rule implies_elim :premises (@p591))
% 34.40/35.02  (step @p595 :rule cnf_and_neg :args (@t300))
% 34.40/35.02  (step @p596 :rule resolution :premises (@p595 @p594) :args (true @t300))
% 34.40/35.02  (step @p597 :rule chain_m_resolution :premises (@p596 @p485 @p553) :args (@t208 @t216 (@list @t195 @t278)))
% 34.40/35.02  (step @p598 :rule cnf_and_neg :args (@t209))
% 34.40/35.02  (step @p599 false :rule chain_m_resolution :premises (@p598 @p597 @p576 @p547) :args (false (@list false false true) (@list @t208 @t207 @t209)))
% 34.40/35.02  )
% 34.40/35.02  % SZS output end Proof
% 34.40/35.03  % cvc5 exiting
%------------------------------------------------------------------------------