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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SET656+3 : TPTP v9.2.1. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n004.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 08:48:22 AM UTC 2026

% Result   : Theorem 173.08s 174.02s
% Output   : Proof 173.08s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET656+3 : TPTP v9.2.1. Released v2.2.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n004.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 16:06:07 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.31/0.49  %----Proving TF0_NAR, FOF, or CNF
% 173.08/174.02  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 173.08/174.02  --- Run --no-e-matching --full-saturate-quant at 6...
% 173.08/174.02  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6...
% 173.08/174.02  --- Run --finite-model-find --uf-ss=no-minimal at 6...
% 173.08/174.02  --- Run --multi-trigger-when-single --full-saturate-quant at 30...
% 173.08/174.02  --- Run --trigger-sel=max --full-saturate-quant at 15...
% 173.08/174.02  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33...
% 173.08/174.02  --- Run --multi-trigger-cache --full-saturate-quant at 15...
% 173.08/174.02  --- Run --prenex-quant=none --full-saturate-quant at 30...
% 173.08/174.02  --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 15...
% 173.08/174.02  --- Run --relevant-triggers --full-saturate-quant at 30...
% 173.08/174.02  % SZS status Theorem
% 173.08/174.02  % SZS output start Proof
% 173.08/174.02  (
% 173.08/174.02  (declare-sort $$unsorted 0)
% 173.08/174.02  (declare-const tptp.intersection4 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted))
% 173.08/174.02  (declare-const tptp.empty (-> $$unsorted Bool))
% 173.08/174.02  (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted))
% 173.08/174.02  (declare-const tptp.member (-> $$unsorted $$unsorted Bool))
% 173.08/174.02  (declare-const tptp.subset (-> $$unsorted $$unsorted Bool))
% 173.08/174.02  (declare-const tptp.relation_like (-> $$unsorted Bool))
% 173.08/174.02  (declare-const tptp.set_type $$unsorted)
% 173.08/174.02  (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted))
% 173.08/174.02  (declare-const tptp.relation_type (-> $$unsorted $$unsorted $$unsorted))
% 173.08/174.02  (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted))
% 173.08/174.02  (declare-const tptp.subset_type (-> $$unsorted $$unsorted))
% 173.08/174.02  (declare-const tptp.ilf_type (-> $$unsorted $$unsorted Bool))
% 173.08/174.02  (declare-const tptp.binary_relation_type $$unsorted)
% 173.08/174.02  (declare-const tptp.power_set (-> $$unsorted $$unsorted))
% 173.08/174.02  (declare-const tptp.member_type (-> $$unsorted $$unsorted))
% 173.08/174.02  (define @t1 () (@var "B" $$unsorted))
% 173.08/174.02  (define @t2 () (@var "C" $$unsorted))
% 173.08/174.02  (define @t3 () (tptp.intersection @t1 @t2))
% 173.08/174.02  (define @t4 () (tptp.subset @t1 @t2))
% 173.08/174.02  (define @t5 () (=> @t4 (= @t3 @t1)))
% 173.08/174.02  (define @t6 () (tptp.ilf_type @t2 tptp.set_type))
% 173.08/174.02  (define @t7 () (=> @t6 @t5))
% 173.08/174.02  (define @t8 () (@list @t2))
% 173.08/174.02  (define @t9 () (forall @t8 @t7))
% 173.08/174.02  (define @t10 () (tptp.ilf_type @t1 tptp.set_type))
% 173.08/174.02  (define @t11 () (=> @t10 @t9))
% 173.08/174.02  (define @t12 () (@list @t1))
% 173.08/174.02  (define @t13 () (forall @t12 @t11))
% 173.08/174.02  (define @t14 () (@var "F" $$unsorted))
% 173.08/174.02  (define @t15 () (@var "E" $$unsorted))
% 173.08/174.02  (define @t16 () (@var "D" $$unsorted))
% 173.08/174.02  (define @t17 () (tptp.ilf_type @t15 tptp.set_type))
% 173.08/174.02  (define @t18 () (@list @t15))
% 173.08/174.02  (define @t19 () (tptp.cross_product @t1 @t2))
% 173.08/174.02  (define @t20 () (tptp.ilf_type @t16 tptp.set_type))
% 173.08/174.02  (define @t21 () (@list @t16))
% 173.08/174.02  (define @t22 () (tptp.ilf_type @t19 tptp.set_type))
% 173.08/174.02  (define @t23 () (forall @t8 (=> @t6 @t22)))
% 173.08/174.02  (define @t24 () (=> @t10 @t23))
% 173.08/174.02  (define @t25 () (forall @t12 @t24))
% 173.08/174.02  (define @t26 () (tptp.member @t16 @t2))
% 173.08/174.02  (define @t27 () (tptp.member @t16 @t1))
% 173.08/174.02  (define @t28 () (tptp.subset_type @t19))
% 173.08/174.02  (define @t29 () (tptp.ilf_type @t15 @t28))
% 173.08/174.02  (define @t30 () (tptp.relation_type @t1 @t2))
% 173.08/174.02  (define @t31 () (tptp.ilf_type @t15 @t30))
% 173.08/174.02  (define @t32 () (forall @t18 (=> @t31 @t29)))
% 173.08/174.02  (define @t33 () (tptp.ilf_type @t16 @t30))
% 173.08/174.02  (define @t34 () (tptp.ilf_type @t16 @t28))
% 173.08/174.02  (define @t35 () (forall @t21 (=> @t34 @t33)))
% 173.08/174.02  (define @t36 () (and @t35 @t32))
% 173.08/174.02  (define @t37 () (=> @t6 @t36))
% 173.08/174.02  (define @t38 () (forall @t8 @t37))
% 173.08/174.02  (define @t39 () (=> @t10 @t38))
% 173.08/174.02  (define @t40 () (forall @t12 @t39))
% 173.08/174.02  (define @t41 () (tptp.ordered_pair @t16 @t15))
% 173.08/174.02  (define @t42 () (= @t1 @t2))
% 173.08/174.02  (define @t43 () (tptp.ilf_type @t2 tptp.binary_relation_type))
% 173.08/174.02  (define @t44 () (tptp.ilf_type @t1 tptp.binary_relation_type))
% 173.08/174.02  (define @t45 () (tptp.relation_like @t1))
% 173.08/174.02  (define @t46 () (tptp.power_set @t1))
% 173.08/174.02  (define @t47 () (tptp.member_type @t46))
% 173.08/174.02  (define @t48 () (tptp.subset_type @t1))
% 173.08/174.02  (define @t49 () (tptp.ilf_type @t2 @t48))
% 173.08/174.02  (define @t50 () (= @t49 (tptp.ilf_type @t2 @t47)))
% 173.08/174.02  (define @t51 () (forall @t8 (=> @t6 @t50)))
% 173.08/174.02  (define @t52 () (=> @t10 @t51))
% 173.08/174.02  (define @t53 () (forall @t12 @t52))
% 173.08/174.02  (define @t54 () (=> @t27 @t26))
% 173.08/174.02  (define @t55 () (forall @t21 (=> @t20 @t54)))
% 173.08/174.02  (define @t56 () (= @t4 @t55))
% 173.08/174.02  (define @t57 () (=> @t6 @t56))
% 173.08/174.02  (define @t58 () (forall @t8 @t57))
% 173.08/174.02  (define @t59 () (=> @t10 @t58))
% 173.08/174.02  (define @t60 () (forall @t12 @t59))
% 173.08/174.02  (define @t61 () (tptp.member @t1 (tptp.power_set @t2)))
% 173.08/174.02  (define @t62 () (=> @t6 (= @t61 @t55)))
% 173.08/174.02  (define @t63 () (forall @t8 @t62))
% 173.08/174.02  (define @t64 () (=> @t10 @t63))
% 173.08/174.02  (define @t65 () (forall @t12 @t64))
% 173.08/174.02  (define @t66 () (and (not (tptp.empty @t46)) (tptp.ilf_type @t46 tptp.set_type)))
% 173.08/174.02  (define @t67 () (forall @t12 (=> @t10 @t66)))
% 173.08/174.02  (define @t68 () (= (tptp.ilf_type @t1 (tptp.member_type @t2)) (tptp.member @t1 @t2)))
% 173.08/174.02  (define @t69 () (tptp.empty @t2))
% 173.08/174.02  (define @t70 () (not @t69))
% 173.08/174.02  (define @t71 () (and @t70 @t6))
% 173.08/174.02  (define @t72 () (forall @t8 (=> @t71 @t68)))
% 173.08/174.02  (define @t73 () (=> @t10 @t72))
% 173.08/174.02  (define @t74 () (forall @t12 @t73))
% 173.08/174.02  (define @t75 () (tptp.empty @t1))
% 173.08/174.02  (define @t76 () (tptp.member @t2 @t1))
% 173.08/174.02  (define @t77 () (tptp.intersection4 @t1 @t2 @t16 @t15))
% 173.08/174.02  (define @t78 () (tptp.intersection @t16 @t19))
% 173.08/174.02  (define @t79 () (=> @t33 (= @t78 @t16)))
% 173.08/174.02  (define @t80 () (forall @t21 @t79))
% 173.08/174.02  (define @t81 () (=> @t6 @t80))
% 173.08/174.02  (define @t82 () (forall @t8 @t81))
% 173.08/174.02  (define @t83 () (=> @t10 @t82))
% 173.08/174.02  (define @t84 () (forall @t12 @t83))
% 173.08/174.02  (define @t85 () (not @t84))
% 173.08/174.02  (define @t86 () (@var "BOUND_VARIABLE_8479" $$unsorted))
% 173.08/174.02  (define @t87 () (@var "BOUND_VARIABLE_8481" $$unsorted))
% 173.08/174.02  (define @t88 () (= @t87 (tptp.intersection @t87 (tptp.cross_product @t1 @t86))))
% 173.08/174.02  (define @t89 () (not (tptp.ilf_type @t87 (tptp.relation_type @t1 @t86))))
% 173.08/174.02  (define @t90 () (not (tptp.ilf_type @t86 tptp.set_type)))
% 173.08/174.02  (define @t91 () (not @t10))
% 173.08/174.02  (define @t92 () (or @t91 @t90 @t89 @t88))
% 173.08/174.02  (define @t93 () (@list @t1 @t86 @t87))
% 173.08/174.02  (define @t94 () (forall @t93 @t92))
% 173.08/174.02  (define @t95 () (@quantifiers_skolemize @t94 2))
% 173.08/174.02  (define @t96 () (@quantifiers_skolemize @t94 1))
% 173.08/174.02  (define @t97 () (@quantifiers_skolemize @t94 0))
% 173.08/174.02  (define @t98 () (tptp.cross_product @t97 @t96))
% 173.08/174.02  (define @t99 () (@var "BOUND_VARIABLE_7810" $$unsorted))
% 173.08/174.02  (define @t100 () (tptp.ilf_type (tptp.cross_product @t1 @t99) tptp.set_type))
% 173.08/174.02  (define @t101 () (not (tptp.ilf_type @t99 tptp.set_type)))
% 173.08/174.02  (define @t102 () (or @t101 @t100))
% 173.08/174.02  (define @t103 () (or @t91 @t102))
% 173.08/174.02  (define @t104 () (forall (@list @t1 @t99) @t103))
% 173.08/174.02  (define @t105 () (@list @t99))
% 173.08/174.02  (define @t106 () (forall @t105 @t103))
% 173.08/174.02  (define @t107 () (forall @t105 @t102))
% 173.08/174.02  (define @t108 () (@list @t2))
% 173.08/174.02  (define @t109 () (or @t91 @t107))
% 173.08/174.02  (define @t110 () (not @t6))
% 173.08/174.02  (define @t111 () (forall @t8 (or @t110 @t22)))
% 173.08/174.02  (define @t112 () (or @t90 @t89 @t88))
% 173.08/174.02  (define @t113 () (or @t91 @t112))
% 173.08/174.02  (define @t114 () (forall @t93 @t113))
% 173.08/174.02  (define @t115 () (@list @t86 @t87))
% 173.08/174.02  (define @t116 () (forall @t115 @t113))
% 173.08/174.02  (define @t117 () (forall @t115 @t112))
% 173.08/174.02  (define @t118 () (@var "BOUND_VARIABLE_8463" $$unsorted))
% 173.08/174.02  (define @t119 () (or @t91 @t117))
% 173.08/174.02  (define @t120 () (= @t118 (tptp.intersection @t118 @t19)))
% 173.08/174.02  (define @t121 () (not (tptp.ilf_type @t118 @t30)))
% 173.08/174.02  (define @t122 () (or @t110 @t121 @t120))
% 173.08/174.02  (define @t123 () (@list @t2 @t118))
% 173.08/174.02  (define @t124 () (forall @t123 @t122))
% 173.08/174.02  (define @t125 () (or @t121 @t120))
% 173.08/174.02  (define @t126 () (or @t110 @t125))
% 173.08/174.02  (define @t127 () (forall @t123 @t126))
% 173.08/174.02  (define @t128 () (@list @t118))
% 173.08/174.02  (define @t129 () (forall @t128 @t126))
% 173.08/174.02  (define @t130 () (forall @t128 @t125))
% 173.08/174.02  (define @t131 () (@list @t16))
% 173.08/174.02  (define @t132 () (or @t110 @t130))
% 173.08/174.02  (define @t133 () (= @t16 @t78))
% 173.08/174.02  (define @t134 () (forall @t21 (or (not @t33) @t133)))
% 173.08/174.02  (define @t135 () (tptp.ilf_type @t96 tptp.set_type))
% 173.08/174.02  (define @t136 () (= @t95 (tptp.intersection @t95 @t98)))
% 173.08/174.02  (define @t137 () (tptp.relation_type @t97 @t96))
% 173.08/174.02  (define @t138 () (tptp.ilf_type @t95 @t137))
% 173.08/174.02  (define @t139 () (not @t138))
% 173.08/174.02  (define @t140 () (not @t135))
% 173.08/174.02  (define @t141 () (tptp.ilf_type @t97 tptp.set_type))
% 173.08/174.02  (define @t142 () (not @t141))
% 173.08/174.02  (define @t143 () (or @t142 @t140 @t139 @t136))
% 173.08/174.02  (define @t144 () (@list true))
% 173.08/174.02  (define @t145 () (@list @t143))
% 173.08/174.02  (define @t146 () (tptp.ilf_type @t98 tptp.set_type))
% 173.08/174.02  (define @t147 () (or @t142 @t140 @t146))
% 173.08/174.02  (define @t148 () (@list false false false))
% 173.08/174.02  (define @t149 () (tptp.power_set @t98))
% 173.08/174.02  (define @t150 () (tptp.ilf_type @t149 tptp.set_type))
% 173.08/174.02  (define @t151 () (tptp.empty @t149))
% 173.08/174.02  (define @t152 () (not @t151))
% 173.08/174.02  (define @t153 () (and @t152 @t150))
% 173.08/174.02  (define @t154 () (not @t146))
% 173.08/174.02  (define @t155 () (or @t154 @t153))
% 173.08/174.02  (define @t156 () (@list false false))
% 173.08/174.02  (define @t157 () (not @t153))
% 173.08/174.02  (define @t158 () (@list false))
% 173.08/174.02  (define @t159 () (@list @t153))
% 173.08/174.02  (define @t160 () (@var "BOUND_VARIABLE_8072" $$unsorted))
% 173.08/174.02  (define @t161 () (= (tptp.ilf_type @t160 @t48) (tptp.ilf_type @t160 @t47)))
% 173.08/174.02  (define @t162 () (not (tptp.ilf_type @t160 tptp.set_type)))
% 173.08/174.02  (define @t163 () (or @t162 @t161))
% 173.08/174.02  (define @t164 () (or @t91 @t163))
% 173.08/174.02  (define @t165 () (forall (@list @t1 @t160) @t164))
% 173.08/174.02  (define @t166 () (@list @t160))
% 173.08/174.02  (define @t167 () (forall @t166 @t164))
% 173.08/174.02  (define @t168 () (forall @t166 @t163))
% 173.08/174.02  (define @t169 () (or @t91 @t168))
% 173.08/174.02  (define @t170 () (forall @t8 (or @t110 @t50)))
% 173.08/174.02  (define @t171 () (tptp.ilf_type @t95 (tptp.member_type @t149)))
% 173.08/174.02  (define @t172 () (tptp.subset_type @t98))
% 173.08/174.02  (define @t173 () (tptp.ilf_type @t95 @t172))
% 173.08/174.02  (define @t174 () (= @t173 @t171))
% 173.08/174.02  (define @t175 () (tptp.ilf_type @t95 tptp.set_type))
% 173.08/174.02  (define @t176 () (not @t175))
% 173.08/174.02  (define @t177 () (or @t154 @t176 @t174))
% 173.08/174.02  (define @t178 () (@var "BOUND_VARIABLE_7919" $$unsorted))
% 173.08/174.02  (define @t179 () (tptp.subset_type (tptp.cross_product @t1 @t178)))
% 173.08/174.02  (define @t180 () (@var "BOUND_VARIABLE_7923" $$unsorted))
% 173.08/174.02  (define @t181 () (tptp.relation_type @t1 @t178))
% 173.08/174.02  (define @t182 () (@var "BOUND_VARIABLE_7921" $$unsorted))
% 173.08/174.02  (define @t183 () (and (or (not (tptp.ilf_type @t182 @t179)) (tptp.ilf_type @t182 @t181)) (or (not (tptp.ilf_type @t180 @t181)) (tptp.ilf_type @t180 @t179))))
% 173.08/174.02  (define @t184 () (not (tptp.ilf_type @t178 tptp.set_type)))
% 173.08/174.02  (define @t185 () (or @t184 @t183))
% 173.08/174.02  (define @t186 () (or @t91 @t185))
% 173.08/174.02  (define @t187 () (forall (@list @t1 @t178 @t182 @t180) @t186))
% 173.08/174.02  (define @t188 () (@list @t178 @t182 @t180))
% 173.08/174.02  (define @t189 () (forall @t188 @t186))
% 173.08/174.02  (define @t190 () (forall @t188 @t185))
% 173.08/174.02  (define @t191 () (@var "BOUND_VARIABLE_7905" $$unsorted))
% 173.08/174.02  (define @t192 () (@var "BOUND_VARIABLE_7899" $$unsorted))
% 173.08/174.02  (define @t193 () (or @t91 @t190))
% 173.08/174.02  (define @t194 () (or (not (tptp.ilf_type @t191 @t30)) (tptp.ilf_type @t191 @t28)))
% 173.08/174.02  (define @t195 () (or (not (tptp.ilf_type @t192 @t28)) (tptp.ilf_type @t192 @t30)))
% 173.08/174.02  (define @t196 () (and @t195 @t194))
% 173.08/174.02  (define @t197 () (or @t110 @t196))
% 173.08/174.02  (define @t198 () (forall (@list @t2 @t192 @t191) @t197))
% 173.08/174.02  (define @t199 () (@list @t192 @t191))
% 173.08/174.02  (define @t200 () (forall @t199 @t197))
% 173.08/174.02  (define @t201 () (forall (@list @t191) @t194))
% 173.08/174.02  (define @t202 () (forall @t199 @t194))
% 173.08/174.02  (define @t203 () (forall (@list @t192) @t195))
% 173.08/174.02  (define @t204 () (forall @t199 @t195))
% 173.08/174.02  (define @t205 () (and @t204 @t202))
% 173.08/174.02  (define @t206 () (forall @t199 @t196))
% 173.08/174.02  (define @t207 () (or @t110 @t206))
% 173.08/174.02  (define @t208 () (and (forall @t21 (or (not @t34) @t33)) (forall @t18 (or (not @t31) @t29))))
% 173.08/174.02  (define @t209 () (@quantifiers_skolemize (forall @t8 (not (tptp.ilf_type @t2 @t172))) 0))
% 173.08/174.02  (define @t210 () (or @t139 @t173))
% 173.08/174.02  (define @t211 () (and (or (not (tptp.ilf_type @t209 @t172)) (tptp.ilf_type @t209 @t137)) @t210))
% 173.08/174.02  (define @t212 () (or @t142 @t140 @t211))
% 173.08/174.02  (define @t213 () (@var "BOUND_VARIABLE_8148" $$unsorted))
% 173.08/174.02  (define @t214 () (not @t27))
% 173.08/174.02  (define @t215 () (not @t20))
% 173.08/174.02  (define @t216 () (= (tptp.member @t1 (tptp.power_set @t213)) (forall @t21 (or @t215 @t214 (tptp.member @t16 @t213)))))
% 173.08/174.02  (define @t217 () (not (tptp.ilf_type @t213 tptp.set_type)))
% 173.08/174.02  (define @t218 () (or @t91 @t217 @t216))
% 173.08/174.02  (define @t219 () (or @t217 @t216))
% 173.08/174.02  (define @t220 () (or @t91 @t219))
% 173.08/174.02  (define @t221 () (@list @t1 @t213))
% 173.08/174.02  (define @t222 () (forall @t221 @t220))
% 173.08/174.02  (define @t223 () (@list @t213))
% 173.08/174.02  (define @t224 () (forall @t223 @t220))
% 173.08/174.02  (define @t225 () (forall @t223 @t219))
% 173.08/174.02  (define @t226 () (or @t91 @t225))
% 173.08/174.02  (define @t227 () (or @t215 @t214 @t26))
% 173.08/174.02  (define @t228 () (forall @t21 @t227))
% 173.08/174.02  (define @t229 () (= @t61 @t228))
% 173.08/174.02  (define @t230 () (forall @t8 (or @t110 @t229)))
% 173.08/174.02  (define @t231 () (tptp.member @t95 @t149))
% 173.08/174.02  (define @t232 () (forall @t21 (or @t215 (not (tptp.member @t16 @t95)) (tptp.member @t16 @t98))))
% 173.08/174.02  (define @t233 () (or @t176 @t154 (= @t231 @t232)))
% 173.08/174.02  (define @t234 () (forall @t221 @t218))
% 173.08/174.02  (define @t235 () (@list @t95 @t98))
% 173.08/174.02  (define @t236 () (= @t232 @t231))
% 173.08/174.02  (define @t237 () (or @t176 @t154 @t236))
% 173.08/174.02  (define @t238 () (@var "BOUND_VARIABLE_8118" $$unsorted))
% 173.08/174.02  (define @t239 () (= (tptp.subset @t1 @t238) (forall @t21 (or @t215 @t214 (tptp.member @t16 @t238)))))
% 173.08/174.02  (define @t240 () (not (tptp.ilf_type @t238 tptp.set_type)))
% 173.08/174.02  (define @t241 () (or @t240 @t239))
% 173.08/174.02  (define @t242 () (or @t91 @t241))
% 173.08/174.02  (define @t243 () (forall (@list @t1 @t238) @t242))
% 173.08/174.02  (define @t244 () (@list @t238))
% 173.08/174.02  (define @t245 () (forall @t244 @t242))
% 173.08/174.02  (define @t246 () (forall @t244 @t241))
% 173.08/174.02  (define @t247 () (or @t91 @t246))
% 173.08/174.02  (define @t248 () (= @t4 @t228))
% 173.08/174.02  (define @t249 () (forall @t8 (or @t110 @t248)))
% 173.08/174.02  (define @t250 () (tptp.subset @t95 @t98))
% 173.08/174.02  (define @t251 () (= @t250 @t232))
% 173.08/174.02  (define @t252 () (or @t176 @t154 @t251))
% 173.08/174.02  (define @t253 () (@var "BOUND_VARIABLE_7689" $$unsorted))
% 173.08/174.02  (define @t254 () (= @t1 (tptp.intersection @t1 @t253)))
% 173.08/174.02  (define @t255 () (not (tptp.subset @t1 @t253)))
% 173.08/174.02  (define @t256 () (not (tptp.ilf_type @t253 tptp.set_type)))
% 173.08/174.02  (define @t257 () (or @t256 @t255 @t254))
% 173.08/174.02  (define @t258 () (or @t91 @t257))
% 173.08/174.02  (define @t259 () (forall (@list @t1 @t253) @t258))
% 173.08/174.02  (define @t260 () (@list @t253))
% 173.08/174.02  (define @t261 () (forall @t260 @t258))
% 173.08/174.02  (define @t262 () (forall @t260 @t257))
% 173.08/174.02  (define @t263 () (or @t91 @t262))
% 173.08/174.02  (define @t264 () (= @t1 @t3))
% 173.08/174.02  (define @t265 () (not @t4))
% 173.08/174.02  (define @t266 () (or @t110 @t265 @t264))
% 173.08/174.02  (define @t267 () (forall @t8 @t266))
% 173.08/174.02  (define @t268 () (=> @t4 @t264))
% 173.08/174.02  (define @t269 () (not @t250))
% 173.08/174.02  (define @t270 () (or @t176 @t154 @t269 @t136))
% 173.08/174.02  (define @t271 () (not @t232))
% 173.08/174.02  (define @t272 () (@list true false))
% 173.08/174.02  (define @t273 () (not @t231))
% 173.08/174.02  (define @t274 () (= @t231 @t171))
% 173.08/174.02  (define @t275 () (not @t274))
% 173.08/174.02  (define @t276 () (@var "BOUND_VARIABLE_8176" $$unsorted))
% 173.08/174.02  (define @t277 () (= (tptp.ilf_type @t1 (tptp.member_type @t276)) (tptp.member @t1 @t276)))
% 173.08/174.02  (define @t278 () (not (tptp.ilf_type @t276 tptp.set_type)))
% 173.08/174.02  (define @t279 () (tptp.empty @t276))
% 173.08/174.02  (define @t280 () (or @t91 @t279 @t278 @t277))
% 173.08/174.02  (define @t281 () (or @t279 @t278 @t277))
% 173.08/174.02  (define @t282 () (or @t91 @t281))
% 173.08/174.02  (define @t283 () (@list @t1 @t276))
% 173.08/174.02  (define @t284 () (forall @t283 @t282))
% 173.08/174.02  (define @t285 () (@list @t276))
% 173.08/174.02  (define @t286 () (forall @t285 @t282))
% 173.08/174.02  (define @t287 () (forall @t285 @t281))
% 173.08/174.02  (define @t288 () (or @t91 @t287))
% 173.08/174.02  (define @t289 () (or @t69 @t110 @t68))
% 173.08/174.02  (define @t290 () (forall @t8 @t289))
% 173.08/174.02  (define @t291 () (not @t150))
% 173.08/174.02  (define @t292 () (or @t176 @t151 @t291 (= @t171 @t231)))
% 173.08/174.02  (define @t293 () (forall @t283 @t280))
% 173.08/174.02  (define @t294 () (or @t176 @t151 @t291 @t274))
% 173.08/174.02  (assume @p1 @t13)
% 173.08/174.02  (assume @p2 (forall @t12 (=> @t10 (forall @t8 (=> @t6 (forall @t21 (=> @t20 (= (tptp.member @t16 @t19) (exists @t18 (and @t17 (exists (@list @t14) (and (tptp.ilf_type @t14 tptp.set_type) (tptp.member @t15 @t1) (tptp.member @t14 @t2) (= @t16 (tptp.ordered_pair @t15 @t14))))))))))))))
% 173.08/174.02  (assume @p3 @t25)
% 173.08/174.02  (assume @p4 (forall @t12 (=> @t10 (forall @t8 (=> @t6 (forall @t21 (=> @t20 (= (tptp.member @t16 @t3) (and @t27 @t26)))))))))
% 173.08/174.02  (assume @p5 (forall @t12 (=> @t10 (forall @t8 (=> @t6 (tptp.ilf_type @t3 tptp.set_type))))))
% 173.08/174.02  (assume @p6 @t40)
% 173.08/174.02  (assume @p7 (forall @t12 (=> @t10 (forall @t8 (=> @t6 (exists @t21 (tptp.ilf_type @t16 (tptp.relation_type @t2 @t1))))))))
% 173.08/174.02  (assume @p8 (forall @t12 (=> @t44 (forall @t8 (=> @t43 (= @t42 (forall @t21 (=> @t20 (forall @t18 (=> @t17 (= (tptp.member @t41 @t1) (tptp.member @t41 @t2))))))))))))
% 173.08/174.02  (assume @p9 (forall @t12 (=> @t10 (forall @t8 (=> @t6 (= @t3 (tptp.intersection @t2 @t1)))))))
% 173.08/174.02  (assume @p10 (forall @t12 (=> @t10 (forall @t8 (=> @t6 (tptp.ilf_type (tptp.ordered_pair @t1 @t2) tptp.set_type))))))
% 173.08/174.02  (assume @p11 (forall @t12 (=> @t10 (= @t44 (and @t45 @t10)))))
% 173.08/174.02  (assume @p12 (exists @t12 @t44))
% 173.08/174.02  (assume @p13 @t53)
% 173.08/174.02  (assume @p14 (forall @t12 (=> @t10 (exists @t8 @t49))))
% 173.08/174.02  (assume @p15 (forall @t12 (=> @t44 (forall @t8 (=> @t43 (=> @t42 (= @t2 @t1)))))))
% 173.08/174.02  (assume @p16 (forall @t12 (=> @t44 (= @t1 @t1))))
% 173.08/174.02  (assume @p17 @t60)
% 173.08/174.02  (assume @p18 (forall @t12 (=> @t10 (tptp.subset @t1 @t1))))
% 173.08/174.02  (assume @p19 @t65)
% 173.08/174.02  (assume @p20 @t67)
% 173.08/174.02  (assume @p21 @t74)
% 173.08/174.02  (assume @p22 (forall @t12 (=> (and (not @t75) @t10) (exists @t8 (tptp.ilf_type @t2 (tptp.member_type @t1))))))
% 173.08/174.02  (assume @p23 (forall @t12 (=> @t10 (forall @t8 (=> @t6 (= @t42 (forall @t21 (=> @t20 (= @t27 @t26)))))))))
% 173.08/174.02  (assume @p24 (forall @t12 (=> @t10 (= @t45 (forall @t8 (=> @t6 (=> @t76 (exists @t21 (and @t20 (exists @t18 (and @t17 (= @t2 @t41))))))))))))
% 173.08/174.02  (assume @p25 (forall @t12 (=> @t10 (forall @t8 (=> @t6 (forall @t21 (=> @t34 (tptp.relation_like @t16))))))))
% 173.08/174.02  (assume @p26 (forall @t12 (=> @t10 (= @t75 (forall @t8 (=> @t6 (not @t76)))))))
% 173.08/174.02  (assume @p27 (forall @t12 (=> (and @t75 @t10) @t45)))
% 173.08/174.02  (assume @p28 (forall @t12 (=> @t10 (forall @t8 (=> @t6 (forall @t21 (=> @t33 (forall @t18 (=> @t31 (= @t77 (tptp.intersection @t16 @t15)))))))))))
% 173.08/174.02  (assume @p29 (forall @t12 (=> @t10 (forall @t8 (=> @t6 (forall @t21 (=> @t33 (forall @t18 (=> @t31 (tptp.ilf_type @t77 @t30))))))))))
% 173.08/174.02  (assume @p30 (forall @t12 @t10))
% 173.08/174.02  (assume @p31 @t85)
% 173.08/174.02  (assume @p32 true)
% 173.08/174.02  (step @p33 :rule instantiate :premises (@p30) :args ((@list @t95)))
% 173.08/174.02  (step @p34 :rule bool-impl-elim :args (@t10 @t66))
% 173.08/174.02  (step @p35 :rule cong :premises (@p34) :args (@t67))
% 173.08/174.02  (step @p36 :rule eq_resolve :premises (@p20 @p35))
% 173.08/174.02  (step @p37 :rule instantiate :premises (@p36) :args ((@list @t98)))
% 173.08/174.02  (step @p38 :rule aci_norm :args ((= @t103 (or @t91 @t101 @t100))))
% 173.08/174.02  (step @p39 :rule cong :premises (@p38) :args (@t104))
% 173.08/174.02  (step @p40 :rule quant-merge-prenex :args ((= (forall @t12 @t106) @t104)))
% 173.08/174.02  (step @p41 :rule alpha_equiv :args (@t107 (@list @t99) @t108))
% 173.08/174.02  (step @p42 :rule refl :args (@t91))
% 173.08/174.02  (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t109))
% 173.08/174.02  (step @p44 :rule quant-miniscope-or :args ((= @t106 @t109)))
% 173.08/174.02  (step @p45 :rule trans :premises (@p44 @p43))
% 173.08/174.02  (step @p46 :rule symm :premises (@p45))
% 173.08/174.02  (step @p47 :rule cong :premises (@p46) :args ((forall @t12 (or @t91 @t111))))
% 173.08/174.02  (step @p48 :rule trans :premises (@p47 @p40))
% 173.08/174.02  (step @p49 :rule trans :premises (@p48 @p39))
% 173.08/174.02  (step @p50 :rule bool-impl-elim :args (@t10 @t111))
% 173.08/174.02  (step @p51 :rule cong :premises (@p50) :args ((forall @t12 (=> @t10 @t111))))
% 173.08/174.02  (step @p52 :rule trans :premises (@p51 @p49))
% 173.08/174.02  (step @p53 :rule bool-impl-elim :args (@t6 @t22))
% 173.08/174.02  (step @p54 :rule cong :premises (@p53) :args (@t23))
% 173.08/174.02  (step @p55 :rule refl :args (@t10))
% 173.08/174.02  (step @p56 :rule cong :premises (@p55 @p54) :args (@t24))
% 173.08/174.02  (step @p57 :rule cong :premises (@p56) :args (@t25))
% 173.08/174.02  (step @p58 :rule trans :premises (@p57 @p52))
% 173.08/174.02  (step @p59 :rule eq_resolve :premises (@p3 @p58))
% 173.08/174.02  (step @p60 :rule instantiate :premises (@p59) :args ((@list @t97 @t96)))
% 173.08/174.02  (step @p61 :rule aci_norm :args ((= @t113 @t92)))
% 173.08/174.02  (step @p62 :rule cong :premises (@p61) :args (@t114))
% 173.08/174.02  (step @p63 :rule quant-merge-prenex :args ((= (forall @t12 @t116) @t114)))
% 173.08/174.02  (step @p64 :rule alpha_equiv :args (@t117 (@list @t86 @t87) (@list @t2 @t118)))
% 173.08/174.02  (step @p65 :rule nary_cong :premises (@p42 @p64) :args (@t119))
% 173.08/174.02  (step @p66 :rule quant-miniscope-or :args ((= @t116 @t119)))
% 173.08/174.02  (step @p67 :rule trans :premises (@p66 @p65))
% 173.08/174.02  (step @p68 :rule symm :premises (@p67))
% 173.08/174.02  (step @p69 :rule cong :premises (@p68) :args ((forall @t12 (or @t91 @t124))))
% 173.08/174.02  (step @p70 :rule trans :premises (@p69 @p63))
% 173.08/174.02  (step @p71 :rule trans :premises (@p70 @p62))
% 173.08/174.02  (step @p72 :rule bool-impl-elim :args (@t10 @t124))
% 173.08/174.02  (step @p73 :rule cong :premises (@p72) :args ((forall @t12 (=> @t10 @t124))))
% 173.08/174.02  (step @p74 :rule trans :premises (@p73 @p71))
% 173.08/174.02  (step @p75 :rule aci_norm :args ((= @t126 @t122)))
% 173.08/174.02  (step @p76 :rule cong :premises (@p75) :args (@t127))
% 173.08/174.02  (step @p77 :rule quant-merge-prenex :args ((= (forall @t8 @t129) @t127)))
% 173.08/174.02  (step @p78 :rule alpha_equiv :args (@t130 (@list @t118) @t131))
% 173.08/174.02  (step @p79 :rule refl :args (@t110))
% 173.08/174.02  (step @p80 :rule nary_cong :premises (@p79 @p78) :args (@t132))
% 173.08/174.02  (step @p81 :rule quant-miniscope-or :args ((= @t129 @t132)))
% 173.08/174.02  (step @p82 :rule trans :premises (@p81 @p80))
% 173.08/174.02  (step @p83 :rule symm :premises (@p82))
% 173.08/174.02  (step @p84 :rule cong :premises (@p83) :args ((forall @t8 (or @t110 @t134))))
% 173.08/174.02  (step @p85 :rule trans :premises (@p84 @p77))
% 173.08/174.02  (step @p86 :rule trans :premises (@p85 @p76))
% 173.08/174.02  (step @p87 :rule bool-impl-elim :args (@t6 @t134))
% 173.08/174.02  (step @p88 :rule cong :premises (@p87) :args ((forall @t8 (=> @t6 @t134))))
% 173.08/174.02  (step @p89 :rule trans :premises (@p88 @p86))
% 173.08/174.02  (step @p90 :rule bool-impl-elim :args (@t33 @t133))
% 173.08/174.02  (step @p91 :rule cong :premises (@p90) :args ((forall @t21 (=> @t33 @t133))))
% 173.08/174.02  (step @p92 :rule eq-symm :args (@t78 @t16))
% 173.08/174.02  (step @p93 :rule refl :args (@t33))
% 173.08/174.02  (step @p94 :rule cong :premises (@p93 @p92) :args (@t79))
% 173.08/174.02  (step @p95 :rule cong :premises (@p94) :args (@t80))
% 173.08/174.02  (step @p96 :rule trans :premises (@p95 @p91))
% 173.08/174.02  (step @p97 :rule refl :args (@t6))
% 173.08/174.02  (step @p98 :rule cong :premises (@p97 @p96) :args (@t81))
% 173.08/174.02  (step @p99 :rule cong :premises (@p98) :args (@t82))
% 173.08/174.02  (step @p100 :rule trans :premises (@p99 @p89))
% 173.08/174.02  (step @p101 :rule cong :premises (@p55 @p100) :args (@t83))
% 173.08/174.02  (step @p102 :rule cong :premises (@p101) :args (@t84))
% 173.08/174.02  (step @p103 :rule trans :premises (@p102 @p74))
% 173.08/174.02  (step @p104 :rule cong :premises (@p103) :args (@t85))
% 173.08/174.02  (step @p105 :rule eq_resolve :premises (@p31 @p104))
% 173.08/174.02  (step @p106 :rule skolemize :premises (@p105))
% 173.08/174.02  (step @p107 :rule bool-double-not-elim :args (@t135))
% 173.08/174.02  (step @p108 :rule refl :args (@t143))
% 173.08/174.02  (step @p109 :rule nary_cong :premises (@p108 @p107) :args ((or @t143 (not @t140))))
% 173.08/174.02  (step @p110 :rule cnf_or_neg :args (@t143 1))
% 173.08/174.02  (step @p111 :rule eq_resolve :premises (@p110 @p109))
% 173.08/174.02  (step @p112 :rule reordering :premises (@p111) :args ((or @t135 @t143)))
% 173.08/174.02  (step @p113 :rule chain_m_resolution :premises (@p112 @p106) :args (@t135 @t144 @t145))
% 173.08/174.02  (step @p114 :rule bool-double-not-elim :args (@t141))
% 173.08/174.02  (step @p115 :rule nary_cong :premises (@p108 @p114) :args ((or @t143 (not @t142))))
% 173.08/174.02  (step @p116 :rule cnf_or_neg :args (@t143 0))
% 173.08/174.02  (step @p117 :rule eq_resolve :premises (@p116 @p115))
% 173.08/174.02  (step @p118 :rule reordering :premises (@p117) :args ((or @t141 @t143)))
% 173.08/174.02  (step @p119 :rule chain_m_resolution :premises (@p118 @p106) :args (@t141 @t144 @t145))
% 173.08/174.02  (step @p120 :rule cnf_or_pos :args (@t147))
% 173.08/174.02  (step @p121 :rule reordering :premises (@p120) :args ((or @t142 @t140 @t146 (not @t147))))
% 173.08/174.02  (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p113 @p60) :args (@t146 @t148 (@list @t141 @t135 @t147)))
% 173.08/174.02  (step @p123 :rule cnf_or_pos :args (@t155))
% 173.08/174.02  (step @p124 :rule reordering :premises (@p123) :args ((or @t154 @t153 (not @t155))))
% 173.08/174.02  (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p37) :args (@t153 @t156 (@list @t146 @t155)))
% 173.08/174.02  (step @p126 :rule cnf_and_pos :args (@t153 0))
% 173.08/174.02  (step @p127 :rule reordering :premises (@p126) :args ((or @t152 @t157)))
% 173.08/174.02  (step @p128 :rule chain_m_resolution :premises (@p127 @p125) :args (@t152 @t158 @t159))
% 173.08/174.02  (step @p129 :rule cnf_and_pos :args (@t153 1))
% 173.08/174.02  (step @p130 :rule reordering :premises (@p129) :args ((or @t150 @t157)))
% 173.08/174.02  (step @p131 :rule chain_m_resolution :premises (@p130 @p125) :args (@t150 @t158 @t159))
% 173.08/174.02  (step @p132 :rule aci_norm :args ((= @t164 (or @t91 @t162 @t161))))
% 173.08/174.02  (step @p133 :rule cong :premises (@p132) :args (@t165))
% 173.08/174.02  (step @p134 :rule quant-merge-prenex :args ((= (forall @t12 @t167) @t165)))
% 173.08/174.02  (step @p135 :rule alpha_equiv :args (@t168 (@list @t160) @t108))
% 173.08/174.02  (step @p136 :rule nary_cong :premises (@p42 @p135) :args (@t169))
% 173.08/174.02  (step @p137 :rule quant-miniscope-or :args ((= @t167 @t169)))
% 173.08/174.02  (step @p138 :rule trans :premises (@p137 @p136))
% 173.08/174.02  (step @p139 :rule symm :premises (@p138))
% 173.08/174.02  (step @p140 :rule cong :premises (@p139) :args ((forall @t12 (or @t91 @t170))))
% 173.08/174.02  (step @p141 :rule trans :premises (@p140 @p134))
% 173.08/174.02  (step @p142 :rule trans :premises (@p141 @p133))
% 173.08/174.02  (step @p143 :rule bool-impl-elim :args (@t10 @t170))
% 173.08/174.02  (step @p144 :rule cong :premises (@p143) :args ((forall @t12 (=> @t10 @t170))))
% 173.08/174.02  (step @p145 :rule trans :premises (@p144 @p142))
% 173.08/174.02  (step @p146 :rule bool-impl-elim :args (@t6 @t50))
% 173.08/174.02  (step @p147 :rule cong :premises (@p146) :args (@t51))
% 173.08/174.02  (step @p148 :rule cong :premises (@p55 @p147) :args (@t52))
% 173.08/174.02  (step @p149 :rule cong :premises (@p148) :args (@t53))
% 173.08/174.02  (step @p150 :rule trans :premises (@p149 @p145))
% 173.08/174.02  (step @p151 :rule eq_resolve :premises (@p13 @p150))
% 173.08/174.02  (step @p152 :rule instantiate :premises (@p151) :args ((@list @t98 @t95)))
% 173.08/174.02  (step @p153 :rule cnf_or_pos :args (@t177))
% 173.08/174.02  (step @p154 :rule reordering :premises (@p153) :args ((or @t176 @t154 @t174 (not @t177))))
% 173.08/174.02  (step @p155 :rule chain_m_resolution :premises (@p154 @p33 @p122 @p152) :args (@t174 @t148 (@list @t175 @t146 @t177)))
% 173.08/174.02  (step @p156 :rule aci_norm :args ((= @t186 (or @t91 @t184 @t183))))
% 173.08/174.02  (step @p157 :rule cong :premises (@p156) :args (@t187))
% 173.08/174.02  (step @p158 :rule quant-merge-prenex :args ((= (forall @t12 @t189) @t187)))
% 173.08/174.02  (step @p159 :rule alpha_equiv :args (@t190 (@list @t178 @t182 @t180) (@list @t2 @t192 @t191)))
% 173.08/174.02  (step @p160 :rule nary_cong :premises (@p42 @p159) :args (@t193))
% 173.08/174.02  (step @p161 :rule quant-miniscope-or :args ((= @t189 @t193)))
% 173.08/174.02  (step @p162 :rule trans :premises (@p161 @p160))
% 173.08/174.02  (step @p163 :rule symm :premises (@p162))
% 173.08/174.02  (step @p164 :rule cong :premises (@p163) :args ((forall @t12 (or @t91 @t198))))
% 173.08/174.02  (step @p165 :rule trans :premises (@p164 @p158))
% 173.08/174.02  (step @p166 :rule trans :premises (@p165 @p157))
% 173.08/174.02  (step @p167 :rule bool-impl-elim :args (@t10 @t198))
% 173.08/174.02  (step @p168 :rule cong :premises (@p167) :args ((forall @t12 (=> @t10 @t198))))
% 173.08/174.02  (step @p169 :rule trans :premises (@p168 @p166))
% 173.08/174.02  (step @p170 :rule quant-merge-prenex :args ((= (forall @t8 @t200) @t198)))
% 173.08/174.02  (step @p171 :rule alpha_equiv :args (@t201 (@list @t191) (@list @t15)))
% 173.08/174.02  (step @p172 :rule quant-unused-vars :args ((= @t202 @t201)))
% 173.08/174.02  (step @p173 :rule trans :premises (@p172 @p171))
% 173.08/174.02  (step @p174 :rule alpha_equiv :args (@t203 (@list @t192) @t131))
% 173.08/174.02  (step @p175 :rule quant-unused-vars :args ((= @t204 @t203)))
% 173.08/174.02  (step @p176 :rule trans :premises (@p175 @p174))
% 173.08/174.02  (step @p177 :rule nary_cong :premises (@p176 @p173) :args (@t205))
% 173.08/174.02  (step @p178 :rule quant-miniscope-and :args ((= @t206 @t205)))
% 173.08/174.02  (step @p179 :rule trans :premises (@p178 @p177))
% 173.08/174.02  (step @p180 :rule nary_cong :premises (@p79 @p179) :args (@t207))
% 173.08/174.02  (step @p181 :rule quant-miniscope-or :args ((= @t200 @t207)))
% 173.08/174.02  (step @p182 :rule trans :premises (@p181 @p180))
% 173.08/174.02  (step @p183 :rule symm :premises (@p182))
% 173.08/174.02  (step @p184 :rule cong :premises (@p183) :args ((forall @t8 (or @t110 @t208))))
% 173.08/174.02  (step @p185 :rule trans :premises (@p184 @p170))
% 173.08/174.02  (step @p186 :rule bool-impl-elim :args (@t6 @t208))
% 173.08/174.02  (step @p187 :rule cong :premises (@p186) :args ((forall @t8 (=> @t6 @t208))))
% 173.08/174.02  (step @p188 :rule trans :premises (@p187 @p185))
% 173.08/174.02  (step @p189 :rule bool-impl-elim :args (@t31 @t29))
% 173.08/174.02  (step @p190 :rule cong :premises (@p189) :args (@t32))
% 173.08/174.02  (step @p191 :rule bool-impl-elim :args (@t34 @t33))
% 173.08/174.02  (step @p192 :rule cong :premises (@p191) :args (@t35))
% 173.08/174.02  (step @p193 :rule nary_cong :premises (@p192 @p190) :args (@t36))
% 173.08/174.02  (step @p194 :rule cong :premises (@p97 @p193) :args (@t37))
% 173.08/174.02  (step @p195 :rule cong :premises (@p194) :args (@t38))
% 173.08/174.02  (step @p196 :rule trans :premises (@p195 @p188))
% 173.08/174.02  (step @p197 :rule cong :premises (@p55 @p196) :args (@t39))
% 173.08/174.02  (step @p198 :rule cong :premises (@p197) :args (@t40))
% 173.08/174.02  (step @p199 :rule trans :premises (@p198 @p169))
% 173.08/174.02  (step @p200 :rule eq_resolve :premises (@p6 @p199))
% 173.08/174.02  (step @p201 :rule instantiate :premises (@p200) :args ((@list @t97 @t96 @t209 @t95)))
% 173.08/174.02  (step @p202 :rule cnf_or_pos :args (@t212))
% 173.08/174.02  (step @p203 :rule reordering :premises (@p202) :args ((or @t142 @t140 @t211 (not @t212))))
% 173.08/174.02  (step @p204 :rule chain_m_resolution :premises (@p203 @p119 @p113 @p201) :args (@t211 @t148 (@list @t141 @t135 @t212)))
% 173.08/174.02  (step @p205 :rule cnf_and_pos :args (@t211 1))
% 173.08/174.02  (step @p206 :rule reordering :premises (@p205) :args ((or @t210 (not @t211))))
% 173.08/174.02  (step @p207 :rule chain_m_resolution :premises (@p206 @p204) :args (@t210 @t158 (@list @t211)))
% 173.08/174.02  (step @p208 :rule bool-double-not-elim :args (@t138))
% 173.08/174.02  (step @p209 :rule nary_cong :premises (@p108 @p208) :args ((or @t143 (not @t139))))
% 173.08/174.02  (step @p210 :rule cnf_or_neg :args (@t143 2))
% 173.08/174.02  (step @p211 :rule eq_resolve :premises (@p210 @p209))
% 173.08/174.02  (step @p212 :rule reordering :premises (@p211) :args ((or @t138 @t143)))
% 173.08/174.02  (step @p213 :rule chain_m_resolution :premises (@p212 @p106) :args (@t138 @t144 @t145))
% 173.08/174.02  (step @p214 :rule cnf_or_pos :args (@t210))
% 173.08/174.02  (step @p215 :rule reordering :premises (@p214) :args ((or @t139 @t173 (not @t210))))
% 173.08/174.02  (step @p216 :rule chain_m_resolution :premises (@p215 @p213 @p207) :args (@t173 @t156 (@list @t138 @t210)))
% 173.08/174.02  (step @p217 :rule cnf_equiv_pos1 :args (@t174))
% 173.08/174.02  (step @p218 :rule reordering :premises (@p217) :args ((or (not @t173) @t171 (not @t174))))
% 173.08/174.02  (step @p219 :rule chain_m_resolution :premises (@p218 @p216 @p155) :args (@t171 @t156 (@list @t173 @t174)))
% 173.08/174.02  (step @p220 :rule aci_norm :args ((= @t220 @t218)))
% 173.08/174.02  (step @p221 :rule cong :premises (@p220) :args (@t222))
% 173.08/174.02  (step @p222 :rule quant-merge-prenex :args ((= (forall @t12 @t224) @t222)))
% 173.08/174.02  (step @p223 :rule alpha_equiv :args (@t225 (@list @t213) @t108))
% 173.08/174.02  (step @p224 :rule nary_cong :premises (@p42 @p223) :args (@t226))
% 173.08/174.02  (step @p225 :rule quant-miniscope-or :args ((= @t224 @t226)))
% 173.08/174.02  (step @p226 :rule trans :premises (@p225 @p224))
% 173.08/174.02  (step @p227 :rule symm :premises (@p226))
% 173.08/174.02  (step @p228 :rule cong :premises (@p227) :args ((forall @t12 (or @t91 @t230))))
% 173.08/174.02  (step @p229 :rule trans :premises (@p228 @p222))
% 173.08/174.02  (step @p230 :rule trans :premises (@p229 @p221))
% 173.08/174.02  (step @p231 :rule bool-impl-elim :args (@t10 @t230))
% 173.08/174.02  (step @p232 :rule cong :premises (@p231) :args ((forall @t12 (=> @t10 @t230))))
% 173.08/174.02  (step @p233 :rule trans :premises (@p232 @p230))
% 173.08/174.02  (step @p234 :rule bool-impl-elim :args (@t6 @t229))
% 173.08/174.02  (step @p235 :rule cong :premises (@p234) :args ((forall @t8 (=> @t6 @t229))))
% 173.08/174.02  (step @p236 :rule eq-symm :args (@t228 @t61))
% 173.08/174.02  (step @p237 :rule refl :args (@t61))
% 173.08/174.02  (step @p238 :rule aci_norm :args ((= (or @t215 (or @t214 @t26)) @t227)))
% 173.08/174.02  (step @p239 :rule bool-impl-elim :args (@t27 @t26))
% 173.08/174.02  (step @p240 :rule refl :args (@t215))
% 173.08/174.02  (step @p241 :rule nary_cong :premises (@p240 @p239) :args ((or @t215 @t54)))
% 173.08/174.02  (step @p242 :rule trans :premises (@p241 @p238))
% 173.08/174.02  (step @p243 :rule bool-impl-elim :args (@t20 @t54))
% 173.08/174.02  (step @p244 :rule trans :premises (@p243 @p242))
% 173.08/174.02  (step @p245 :rule cong :premises (@p244) :args (@t55))
% 173.08/174.02  (step @p246 :rule cong :premises (@p245 @p237) :args ((= @t55 @t61)))
% 173.08/174.02  (step @p247 :rule trans :premises (@p246 @p236))
% 173.08/174.02  (step @p248 :rule eq-symm :args (@t61 @t55))
% 173.08/174.02  (step @p249 :rule trans :premises (@p248 @p247))
% 173.08/174.02  (step @p250 :rule cong :premises (@p97 @p249) :args (@t62))
% 173.08/174.02  (step @p251 :rule cong :premises (@p250) :args (@t63))
% 173.08/174.02  (step @p252 :rule trans :premises (@p251 @p235))
% 173.08/174.02  (step @p253 :rule cong :premises (@p55 @p252) :args (@t64))
% 173.08/174.02  (step @p254 :rule cong :premises (@p253) :args (@t65))
% 173.08/174.02  (step @p255 :rule trans :premises (@p254 @p233))
% 173.08/174.02  (step @p256 :rule eq_resolve :premises (@p19 @p255))
% 173.08/174.02  (step @p257 :rule eq-symm :args (@t231 @t232))
% 173.08/174.02  (step @p258 :rule refl :args (@t154))
% 173.08/174.02  (step @p259 :rule refl :args (@t176))
% 173.08/174.02  (step @p260 :rule nary_cong :premises (@p259 @p258 @p257) :args (@t233))
% 173.08/174.02  (step @p261 :rule refl :args (@t234))
% 173.08/174.02  (step @p262 :rule cong :premises (@p261 @p260) :args ((=> @t234 @t233)))
% 173.08/174.02  (assume-push @p392 @t234)
% 173.08/174.02  (step @p264 :rule instantiate :premises (@p256) :args (@t235))
% 173.08/174.02  (step-pop @p393 :rule scope :premises (@p264))
% 173.08/174.02  (step @p265 :rule process_scope :premises (@p393) :args (@t233))
% 173.08/174.02  (step @p267 :rule eq_resolve :premises (@p265 @p262))
% 173.08/174.02  (step @p268 :rule implies_elim :premises (@p267))
% 173.08/174.02  (step @p269 :rule chain_m_resolution :premises (@p268 @p256) :args (@t237 @t158 (@list @t234)))
% 173.08/174.02  (step @p270 :rule cnf_or_pos :args (@t237))
% 173.08/174.02  (step @p271 :rule reordering :premises (@p270) :args ((or @t176 @t154 @t236 (not @t237))))
% 173.08/174.02  (step @p272 :rule chain_m_resolution :premises (@p271 @p33 @p122 @p269) :args (@t236 @t148 (@list @t175 @t146 @t237)))
% 173.08/174.02  (step @p273 :rule aci_norm :args ((= @t242 (or @t91 @t240 @t239))))
% 173.08/174.02  (step @p274 :rule cong :premises (@p273) :args (@t243))
% 173.08/174.02  (step @p275 :rule quant-merge-prenex :args ((= (forall @t12 @t245) @t243)))
% 173.08/174.02  (step @p276 :rule alpha_equiv :args (@t246 (@list @t238) @t108))
% 173.08/174.02  (step @p277 :rule nary_cong :premises (@p42 @p276) :args (@t247))
% 173.08/174.02  (step @p278 :rule quant-miniscope-or :args ((= @t245 @t247)))
% 173.08/174.02  (step @p279 :rule trans :premises (@p278 @p277))
% 173.08/174.02  (step @p280 :rule symm :premises (@p279))
% 173.08/174.02  (step @p281 :rule cong :premises (@p280) :args ((forall @t12 (or @t91 @t249))))
% 173.08/174.02  (step @p282 :rule trans :premises (@p281 @p275))
% 173.08/174.02  (step @p283 :rule trans :premises (@p282 @p274))
% 173.08/174.02  (step @p284 :rule bool-impl-elim :args (@t10 @t249))
% 173.08/174.02  (step @p285 :rule cong :premises (@p284) :args ((forall @t12 (=> @t10 @t249))))
% 173.08/174.02  (step @p286 :rule trans :premises (@p285 @p283))
% 173.08/174.02  (step @p287 :rule bool-impl-elim :args (@t6 @t248))
% 173.08/174.02  (step @p288 :rule cong :premises (@p287) :args ((forall @t8 (=> @t6 @t248))))
% 173.08/174.02  (step @p289 :rule refl :args (@t4))
% 173.08/174.02  (step @p290 :rule cong :premises (@p289 @p245) :args (@t56))
% 173.08/174.02  (step @p291 :rule cong :premises (@p97 @p290) :args (@t57))
% 173.08/174.02  (step @p292 :rule cong :premises (@p291) :args (@t58))
% 173.08/174.02  (step @p293 :rule trans :premises (@p292 @p288))
% 173.08/174.02  (step @p294 :rule cong :premises (@p55 @p293) :args (@t59))
% 173.08/174.02  (step @p295 :rule cong :premises (@p294) :args (@t60))
% 173.08/174.02  (step @p296 :rule trans :premises (@p295 @p286))
% 173.08/174.02  (step @p297 :rule eq_resolve :premises (@p17 @p296))
% 173.08/174.02  (step @p298 :rule instantiate :premises (@p297) :args (@t235))
% 173.08/174.02  (step @p299 :rule cnf_or_pos :args (@t252))
% 173.08/174.02  (step @p300 :rule reordering :premises (@p299) :args ((or @t176 @t154 @t251 (not @t252))))
% 173.08/174.02  (step @p301 :rule chain_m_resolution :premises (@p300 @p33 @p122 @p298) :args (@t251 @t148 (@list @t175 @t146 @t252)))
% 173.08/174.02  (step @p302 :rule aci_norm :args ((= @t258 (or @t91 @t256 @t255 @t254))))
% 173.08/174.02  (step @p303 :rule cong :premises (@p302) :args (@t259))
% 173.08/174.02  (step @p304 :rule quant-merge-prenex :args ((= (forall @t12 @t261) @t259)))
% 173.08/174.02  (step @p305 :rule alpha_equiv :args (@t262 (@list @t253) @t108))
% 173.08/174.02  (step @p306 :rule nary_cong :premises (@p42 @p305) :args (@t263))
% 173.08/174.02  (step @p307 :rule quant-miniscope-or :args ((= @t261 @t263)))
% 173.08/174.02  (step @p308 :rule trans :premises (@p307 @p306))
% 173.08/174.02  (step @p309 :rule symm :premises (@p308))
% 173.08/174.02  (step @p310 :rule cong :premises (@p309) :args ((forall @t12 (or @t91 @t267))))
% 173.08/174.02  (step @p311 :rule trans :premises (@p310 @p304))
% 173.08/174.02  (step @p312 :rule trans :premises (@p311 @p303))
% 173.08/174.02  (step @p313 :rule bool-impl-elim :args (@t10 @t267))
% 173.08/174.02  (step @p314 :rule cong :premises (@p313) :args ((forall @t12 (=> @t10 @t267))))
% 173.08/174.02  (step @p315 :rule trans :premises (@p314 @p312))
% 173.08/174.02  (step @p316 :rule aci_norm :args ((= (or @t110 (or @t265 @t264)) @t266)))
% 173.08/174.02  (step @p317 :rule bool-impl-elim :args (@t4 @t264))
% 173.08/174.02  (step @p318 :rule nary_cong :premises (@p79 @p317) :args ((or @t110 @t268)))
% 173.08/174.02  (step @p319 :rule trans :premises (@p318 @p316))
% 173.08/174.02  (step @p320 :rule bool-impl-elim :args (@t6 @t268))
% 173.08/174.02  (step @p321 :rule trans :premises (@p320 @p319))
% 173.08/174.02  (step @p322 :rule cong :premises (@p321) :args ((forall @t8 (=> @t6 @t268))))
% 173.08/174.02  (step @p323 :rule eq-symm :args (@t3 @t1))
% 173.08/174.02  (step @p324 :rule cong :premises (@p289 @p323) :args (@t5))
% 173.08/174.02  (step @p325 :rule cong :premises (@p97 @p324) :args (@t7))
% 173.08/174.02  (step @p326 :rule cong :premises (@p325) :args (@t9))
% 173.08/174.02  (step @p327 :rule trans :premises (@p326 @p322))
% 173.08/174.02  (step @p328 :rule cong :premises (@p55 @p327) :args (@t11))
% 173.08/174.02  (step @p329 :rule cong :premises (@p328) :args (@t13))
% 173.08/174.02  (step @p330 :rule trans :premises (@p329 @p315))
% 173.08/174.02  (step @p331 :rule eq_resolve :premises (@p1 @p330))
% 173.08/174.02  (step @p332 :rule instantiate :premises (@p331) :args (@t235))
% 173.08/174.02  (step @p333 :rule cnf_or_neg :args (@t143 3))
% 173.08/174.02  (step @p334 :rule chain_m_resolution :premises (@p333 @p106) :args ((not @t136) @t144 @t145))
% 173.08/174.02  (step @p335 :rule cnf_or_pos :args (@t270))
% 173.08/174.02  (step @p336 :rule reordering :premises (@p335) :args ((or @t136 @t176 @t154 @t269 (not @t270))))
% 173.08/174.02  (step @p337 :rule chain_m_resolution :premises (@p336 @p334 @p33 @p122 @p332) :args (@t269 (@list true false false false) (@list @t136 @t175 @t146 @t270)))
% 173.08/174.02  (step @p338 :rule cnf_equiv_pos2 :args (@t251))
% 173.08/174.02  (step @p339 :rule reordering :premises (@p338) :args ((or @t250 @t271 (not @t251))))
% 173.08/174.02  (step @p340 :rule chain_m_resolution :premises (@p339 @p337 @p301) :args (@t271 @t272 (@list @t250 @t251)))
% 173.08/174.02  (step @p341 :rule cnf_equiv_pos2 :args (@t236))
% 173.08/174.02  (step @p342 :rule reordering :premises (@p341) :args ((or @t232 @t273 (not @t236))))
% 173.08/174.02  (step @p343 :rule chain_m_resolution :premises (@p342 @p340 @p272) :args (@t273 @t272 (@list @t232 @t236)))
% 173.08/174.02  (step @p344 :rule cnf_equiv_pos2 :args (@t274))
% 173.08/174.02  (step @p345 :rule reordering :premises (@p344) :args ((or @t231 (not @t171) @t275)))
% 173.08/174.02  (step @p346 :rule chain_m_resolution :premises (@p345 @p343 @p219) :args (@t275 @t272 (@list @t231 @t171)))
% 173.08/174.02  (step @p347 :rule aci_norm :args ((= @t282 @t280)))
% 173.08/174.02  (step @p348 :rule cong :premises (@p347) :args (@t284))
% 173.08/174.02  (step @p349 :rule quant-merge-prenex :args ((= (forall @t12 @t286) @t284)))
% 173.08/174.02  (step @p350 :rule alpha_equiv :args (@t287 (@list @t276) @t108))
% 173.08/174.02  (step @p351 :rule nary_cong :premises (@p42 @p350) :args (@t288))
% 173.08/174.02  (step @p352 :rule quant-miniscope-or :args ((= @t286 @t288)))
% 173.08/174.02  (step @p353 :rule trans :premises (@p352 @p351))
% 173.08/174.02  (step @p354 :rule symm :premises (@p353))
% 173.08/174.02  (step @p355 :rule cong :premises (@p354) :args ((forall @t12 (or @t91 @t290))))
% 173.08/174.02  (step @p356 :rule trans :premises (@p355 @p349))
% 173.08/174.02  (step @p357 :rule trans :premises (@p356 @p348))
% 173.08/174.02  (step @p358 :rule bool-impl-elim :args (@t10 @t290))
% 173.08/174.02  (step @p359 :rule cong :premises (@p358) :args ((forall @t12 (=> @t10 @t290))))
% 173.08/174.02  (step @p360 :rule trans :premises (@p359 @p357))
% 173.08/174.02  (step @p361 :rule aci_norm :args ((= (or (or @t69 @t110) @t68) @t289)))
% 173.08/174.02  (step @p362 :rule refl :args (@t68))
% 173.08/174.02  (step @p363 :rule bool-double-not-elim :args (@t69))
% 173.08/174.02  (step @p364 :rule nary_cong :premises (@p363 @p79) :args ((or (not @t70) @t110)))
% 173.08/174.02  (step @p365 :rule bool-and-de-morgan :args (@t70 @t6 true))
% 173.08/174.02  (step @p366 :rule trans :premises (@p365 @p364))
% 173.08/174.02  (step @p367 :rule nary_cong :premises (@p366 @p362) :args ((or (not @t71) @t68)))
% 173.08/174.02  (step @p368 :rule trans :premises (@p367 @p361))
% 173.08/174.02  (step @p369 :rule bool-impl-elim :args (@t71 @t68))
% 173.08/174.02  (step @p370 :rule trans :premises (@p369 @p368))
% 173.08/174.02  (step @p371 :rule cong :premises (@p370) :args (@t72))
% 173.08/174.02  (step @p372 :rule cong :premises (@p55 @p371) :args (@t73))
% 173.08/174.02  (step @p373 :rule cong :premises (@p372) :args (@t74))
% 173.08/174.02  (step @p374 :rule trans :premises (@p373 @p360))
% 173.08/174.02  (step @p375 :rule eq_resolve :premises (@p21 @p374))
% 173.08/174.02  (step @p376 :rule eq-symm :args (@t171 @t231))
% 173.08/174.02  (step @p377 :rule refl :args (@t291))
% 173.08/174.02  (step @p378 :rule refl :args (@t151))
% 173.08/174.02  (step @p379 :rule nary_cong :premises (@p259 @p378 @p377 @p376) :args (@t292))
% 173.08/174.02  (step @p380 :rule refl :args (@t293))
% 173.08/174.02  (step @p381 :rule cong :premises (@p380 @p379) :args ((=> @t293 @t292)))
% 173.08/174.02  (assume-push @p394 @t293)
% 173.08/174.02  (step @p383 :rule instantiate :premises (@p375) :args ((@list @t95 @t149)))
% 173.08/174.02  (step-pop @p395 :rule scope :premises (@p383))
% 173.08/174.02  (step @p384 :rule process_scope :premises (@p395) :args (@t292))
% 173.08/174.02  (step @p386 :rule eq_resolve :premises (@p384 @p381))
% 173.08/174.02  (step @p387 :rule implies_elim :premises (@p386))
% 173.08/174.02  (step @p388 :rule chain_m_resolution :premises (@p387 @p375) :args (@t294 @t158 (@list @t293)))
% 173.08/174.02  (step @p389 :rule cnf_or_pos :args (@t294))
% 173.08/174.02  (step @p390 :rule reordering :premises (@p389) :args ((or @t176 @t151 @t291 @t274 (not @t294))))
% 173.08/174.02  (step @p391 false :rule chain_m_resolution :premises (@p390 @p388 @p346 @p131 @p128 @p33) :args (false (@list false true false true false) (@list @t294 @t274 @t150 @t151 @t175)))
% 173.08/174.02  )
% 173.08/174.02  % SZS output end Proof
% 173.08/174.02  % cvc5 exiting
%------------------------------------------------------------------------------