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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU232+1 : TPTP v9.2.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n027.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 08:51:03 AM UTC 2026

% Result   : Theorem 0.54s 0.77s
% Output   : Proof 0.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU232+1 : TPTP v9.2.1. Released v3.3.0.
% 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 : n027.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 16:43:51 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.30/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.54/0.77  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.54/0.77  % SZS status Theorem
% 0.54/0.77  % SZS output start Proof
% 0.54/0.77  (
% 0.54/0.77  (declare-sort $$unsorted 0)
% 0.54/0.77  (declare-const tptp.powerset (-> $$unsorted $$unsorted))
% 0.54/0.77  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 0.54/0.77  (declare-const tptp.epsilon_transitive (-> $$unsorted Bool))
% 0.54/0.77  (declare-const tptp.element (-> $$unsorted $$unsorted Bool))
% 0.54/0.77  (declare-const tptp.function (-> $$unsorted Bool))
% 0.54/0.77  (declare-const tptp.epsilon_connected (-> $$unsorted Bool))
% 0.54/0.77  (declare-const tptp.ordinal (-> $$unsorted Bool))
% 0.54/0.77  (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool))
% 0.54/0.77  (declare-const tptp.one_to_one (-> $$unsorted Bool))
% 0.54/0.77  (declare-const tptp.relation (-> $$unsorted Bool))
% 0.54/0.77  (declare-const tptp.subset (-> $$unsorted $$unsorted Bool))
% 0.54/0.77  (declare-const tptp.empty (-> $$unsorted Bool))
% 0.54/0.77  (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted))
% 0.54/0.77  (declare-const tptp.empty_set $$unsorted)
% 0.54/0.77  (define @t1 () (@var "A" $$unsorted))
% 0.54/0.77  (define @t2 () (@var "B" $$unsorted))
% 0.54/0.77  (define @t3 () (tptp.in @t2 @t1))
% 0.54/0.77  (define @t4 () (not @t3))
% 0.54/0.77  (define @t5 () (tptp.in @t1 @t2))
% 0.54/0.77  (define @t6 () (@list @t1 @t2))
% 0.54/0.77  (define @t7 () (forall @t6 (=> @t5 @t4)))
% 0.54/0.77  (define @t8 () (tptp.function @t1))
% 0.54/0.77  (define @t9 () (tptp.empty @t1))
% 0.54/0.77  (define @t10 () (@list @t1))
% 0.54/0.77  (define @t11 () (tptp.epsilon_connected @t1))
% 0.54/0.77  (define @t12 () (tptp.epsilon_transitive @t1))
% 0.54/0.77  (define @t13 () (and @t12 @t11))
% 0.54/0.77  (define @t14 () (tptp.ordinal @t1))
% 0.54/0.77  (define @t15 () (forall @t10 (=> @t14 @t13)))
% 0.54/0.77  (define @t16 () (tptp.relation @t1))
% 0.54/0.77  (define @t17 () (and @t16 @t8 (tptp.one_to_one @t1)))
% 0.54/0.77  (define @t18 () (and @t16 @t9 @t8))
% 0.54/0.77  (define @t19 () (forall @t10 (=> @t13 @t14)))
% 0.54/0.77  (define @t20 () (tptp.subset @t2 @t1))
% 0.54/0.77  (define @t21 () (@list @t2))
% 0.54/0.77  (define @t22 () (forall @t21 (=> @t3 @t20)))
% 0.54/0.77  (define @t23 () (= @t12 @t22))
% 0.54/0.77  (define @t24 () (forall @t10 @t23))
% 0.54/0.77  (define @t25 () (@var "C" $$unsorted))
% 0.54/0.77  (define @t26 () (tptp.in @t25 @t2))
% 0.54/0.77  (define @t27 () (not @t26))
% 0.54/0.77  (define @t28 () (= @t2 @t25))
% 0.54/0.77  (define @t29 () (not @t28))
% 0.54/0.77  (define @t30 () (tptp.in @t2 @t25))
% 0.54/0.77  (define @t31 () (not @t30))
% 0.54/0.77  (define @t32 () (tptp.in @t25 @t1))
% 0.54/0.77  (define @t33 () (@list @t2 @t25))
% 0.54/0.77  (define @t34 () (forall @t33 (not (and @t3 @t32 @t31 @t29 @t27))))
% 0.54/0.77  (define @t35 () (= @t11 @t34))
% 0.54/0.77  (define @t36 () (forall @t10 @t35))
% 0.54/0.77  (define @t37 () (@list @t25))
% 0.54/0.77  (define @t38 () (forall @t37 (=> @t32 @t26)))
% 0.54/0.77  (define @t39 () (tptp.subset @t1 @t2))
% 0.54/0.77  (define @t40 () (= @t39 @t38))
% 0.54/0.77  (define @t41 () (forall @t6 @t40))
% 0.54/0.77  (define @t42 () (@var "D" $$unsorted))
% 0.54/0.77  (define @t43 () (tptp.in @t42 @t2))
% 0.54/0.77  (define @t44 () (not @t43))
% 0.54/0.77  (define @t45 () (tptp.in @t42 @t25))
% 0.54/0.77  (define @t46 () (@list @t42))
% 0.54/0.77  (define @t47 () (tptp.set_difference @t1 @t2))
% 0.54/0.77  (define @t48 () (@list @t1 @t2 @t25))
% 0.54/0.77  (define @t49 () (tptp.relation tptp.empty_set))
% 0.54/0.77  (define @t50 () (tptp.empty tptp.empty_set))
% 0.54/0.77  (define @t51 () (not @t9))
% 0.54/0.77  (define @t52 () (tptp.relation_empty_yielding @t1))
% 0.54/0.77  (define @t53 () (tptp.element @t1 @t2))
% 0.54/0.77  (define @t54 () (forall @t6 (=> @t5 @t53)))
% 0.54/0.77  (define @t55 () (=> @t5 @t14))
% 0.54/0.77  (define @t56 () (tptp.ordinal @t2))
% 0.54/0.77  (define @t57 () (forall @t6 (=> @t56 @t55)))
% 0.54/0.77  (define @t58 () (not @t57))
% 0.54/0.77  (define @t59 () (tptp.empty @t2))
% 0.54/0.77  (define @t60 () (or @t59 @t5))
% 0.54/0.77  (define @t61 () (forall @t6 (=> @t53 @t60)))
% 0.54/0.77  (define @t62 () (forall @t48 (not (and @t5 @t30 @t32))))
% 0.54/0.77  (define @t63 () (tptp.element @t1 (tptp.powerset @t2)))
% 0.54/0.77  (define @t64 () (forall @t6 (= @t63 @t39)))
% 0.54/0.77  (define @t65 () (tptp.element @t1 @t25))
% 0.54/0.77  (define @t66 () (tptp.element @t2 (tptp.powerset @t25)))
% 0.54/0.77  (define @t67 () (and @t5 @t66))
% 0.54/0.77  (define @t68 () (forall @t48 (=> @t67 @t65)))
% 0.54/0.77  (define @t69 () (forall @t6 (not (and @t5 @t59))))
% 0.54/0.77  (define @t70 () (forall @t46 (not (and @t43 @t45))))
% 0.54/0.77  (define @t71 () (and @t26 @t70))
% 0.54/0.77  (define @t72 () (not @t71))
% 0.54/0.77  (define @t73 () (forall @t37 @t72))
% 0.54/0.77  (define @t74 () (and @t5 @t73))
% 0.54/0.77  (define @t75 () (not @t74))
% 0.54/0.77  (define @t76 () (forall @t6 @t75))
% 0.54/0.77  (define @t77 () (not @t32))
% 0.54/0.77  (define @t78 () (not @t27))
% 0.54/0.77  (define @t79 () (not @t29))
% 0.54/0.77  (define @t80 () (not @t31))
% 0.54/0.77  (define @t81 () (or @t4 @t77 @t80 @t79 @t78))
% 0.54/0.77  (define @t82 () (not @t5))
% 0.54/0.77  (define @t83 () (not @t56))
% 0.54/0.77  (define @t84 () (or @t83 @t82 @t14))
% 0.54/0.77  (define @t85 () (forall @t6 @t84))
% 0.54/0.77  (define @t86 () (@quantifiers_skolemize @t85 0))
% 0.54/0.77  (define @t87 () (@list @t86))
% 0.54/0.77  (define @t88 () (not @t11))
% 0.54/0.77  (define @t89 () (not @t12))
% 0.54/0.77  (define @t90 () (not (tptp.in @t2 @t86)))
% 0.54/0.77  (define @t91 () (forall @t21 (or @t90 (tptp.subset @t2 @t86))))
% 0.54/0.77  (define @t92 () (@quantifiers_skolemize @t91 0))
% 0.54/0.77  (define @t93 () (tptp.in @t92 @t86))
% 0.54/0.77  (define @t94 () (tptp.subset @t92 @t86))
% 0.54/0.77  (define @t95 () (not @t93))
% 0.54/0.77  (define @t96 () (or @t95 @t94))
% 0.54/0.77  (define @t97 () (@list @t92 @t86))
% 0.54/0.77  (define @t98 () (tptp.element @t92 @t86))
% 0.54/0.77  (define @t99 () (or @t95 @t98))
% 0.54/0.77  (define @t100 () (@quantifiers_skolemize @t85 1))
% 0.54/0.77  (define @t101 () (@list @t86 @t100))
% 0.54/0.77  (define @t102 () (@list @t100))
% 0.54/0.77  (define @t103 () (tptp.ordinal @t100))
% 0.54/0.77  (define @t104 () (tptp.ordinal @t86))
% 0.54/0.77  (define @t105 () (tptp.in @t86 @t100))
% 0.54/0.77  (define @t106 () (not @t105))
% 0.54/0.77  (define @t107 () (not @t103))
% 0.54/0.77  (define @t108 () (or @t107 @t106 @t104))
% 0.54/0.77  (define @t109 () (@list true))
% 0.54/0.77  (define @t110 () (@list @t108))
% 0.54/0.77  (define @t111 () (tptp.epsilon_connected @t100))
% 0.54/0.77  (define @t112 () (tptp.epsilon_transitive @t100))
% 0.54/0.77  (define @t113 () (and @t112 @t111))
% 0.54/0.77  (define @t114 () (or @t107 @t113))
% 0.54/0.77  (define @t115 () (@list false false))
% 0.54/0.77  (define @t116 () (not @t113))
% 0.54/0.77  (define @t117 () (@list false))
% 0.54/0.77  (define @t118 () (@list @t113))
% 0.54/0.77  (define @t119 () (not (tptp.in @t2 @t100)))
% 0.54/0.77  (define @t120 () (forall @t21 (or @t119 (tptp.subset @t2 @t100))))
% 0.54/0.77  (define @t121 () (= @t112 @t120))
% 0.54/0.77  (define @t122 () (tptp.subset @t86 @t100))
% 0.54/0.77  (define @t123 () (or @t106 @t122))
% 0.54/0.77  (define @t124 () (tptp.in @t25 @t100))
% 0.54/0.77  (define @t125 () (tptp.in @t25 @t86))
% 0.54/0.77  (define @t126 () (not @t125))
% 0.54/0.77  (define @t127 () (forall @t37 (or @t126 @t124)))
% 0.54/0.77  (define @t128 () (= @t122 @t127))
% 0.54/0.77  (define @t129 () (not @t122))
% 0.54/0.77  (define @t130 () (@list @t92))
% 0.54/0.77  (define @t131 () (tptp.in @t92 @t100))
% 0.54/0.77  (define @t132 () (or @t95 @t131))
% 0.54/0.77  (define @t133 () (forall @t37 (or (not (tptp.in @t25 @t92)) @t125)))
% 0.54/0.77  (define @t134 () (= @t94 @t133))
% 0.54/0.77  (define @t135 () (not @t133))
% 0.54/0.77  (define @t136 () (tptp.subset @t92 @t100))
% 0.54/0.77  (define @t137 () (not @t131))
% 0.54/0.77  (define @t138 () (or @t137 @t136))
% 0.54/0.77  (define @t139 () (@quantifiers_skolemize @t133 0))
% 0.54/0.77  (define @t140 () (tptp.in @t139 @t86))
% 0.54/0.77  (define @t141 () (tptp.in @t139 @t92))
% 0.54/0.77  (define @t142 () (not @t141))
% 0.54/0.77  (define @t143 () (or @t142 @t140))
% 0.54/0.77  (define @t144 () (not @t143))
% 0.54/0.77  (define @t145 () (tptp.powerset @t100))
% 0.54/0.77  (define @t146 () (tptp.element @t92 @t145))
% 0.54/0.77  (define @t147 () (forall @t6 (= @t39 @t63)))
% 0.54/0.77  (define @t148 () (= @t136 @t146))
% 0.54/0.77  (define @t149 () (= @t146 @t136))
% 0.54/0.77  (define @t150 () (not @t66))
% 0.54/0.77  (define @t151 () (tptp.element @t139 @t100))
% 0.54/0.77  (define @t152 () (not @t146))
% 0.54/0.77  (define @t153 () (or @t142 @t152 @t151))
% 0.54/0.77  (define @t154 () (@list @t92 @t139))
% 0.54/0.77  (define @t155 () (tptp.in @t92 @t139))
% 0.54/0.77  (define @t156 () (not @t155))
% 0.54/0.77  (define @t157 () (or @t156 @t142))
% 0.54/0.77  (define @t158 () (tptp.in @t86 @t139))
% 0.54/0.77  (define @t159 () (not @t158))
% 0.54/0.77  (define @t160 () (or @t95 @t159 @t142))
% 0.54/0.77  (define @t161 () (tptp.empty @t100))
% 0.54/0.77  (define @t162 () (not @t161))
% 0.54/0.77  (define @t163 () (or @t106 @t162))
% 0.54/0.77  (define @t164 () (not @t53))
% 0.54/0.77  (define @t165 () (tptp.in @t139 @t100))
% 0.54/0.77  (define @t166 () (not @t151))
% 0.54/0.77  (define @t167 () (or @t166 @t161 @t165))
% 0.54/0.77  (define @t168 () (not @t124))
% 0.54/0.77  (define @t169 () (forall @t33 (or @t119 @t168 @t30 @t28 @t26)))
% 0.54/0.77  (define @t170 () (= @t111 @t169))
% 0.54/0.77  (define @t171 () (not @t165))
% 0.54/0.77  (define @t172 () (or @t171 @t106 @t140 (= @t139 @t86) @t158))
% 0.54/0.77  (define @t173 () (= @t86 @t139))
% 0.54/0.77  (define @t174 () (or @t171 @t106 @t140 @t173 @t158))
% 0.54/0.77  (define @t175 () (tptp.element @t92 @t139))
% 0.54/0.77  (define @t176 () (not @t173))
% 0.54/0.77  (define @t177 () (not @t98))
% 0.54/0.77  (define @t178 () (not @t175))
% 0.54/0.77  (define @t179 () (tptp.empty @t139))
% 0.54/0.77  (define @t180 () (or @t178 @t179 @t155))
% 0.54/0.77  (define @t181 () (not @t45))
% 0.54/0.77  (define @t182 () (not (tptp.in @t42 @t100)))
% 0.54/0.77  (define @t183 () (forall @t37 (or @t168 (not (forall @t46 (or @t182 @t181))))))
% 0.54/0.77  (define @t184 () (@quantifiers_skolemize @t183 0))
% 0.54/0.77  (define @t185 () (forall @t46 (or @t44 @t181)))
% 0.54/0.77  (define @t186 () (forall @t37 (or @t27 (not @t185))))
% 0.54/0.77  (define @t187 () (not @t183))
% 0.54/0.77  (define @t188 () (or @t106 @t187))
% 0.54/0.77  (define @t189 () (forall @t46 (or @t182 (not (tptp.in @t42 @t184)))))
% 0.54/0.77  (define @t190 () (not @t189))
% 0.54/0.77  (define @t191 () (tptp.in @t184 @t100))
% 0.54/0.77  (define @t192 () (not @t191))
% 0.54/0.77  (define @t193 () (or @t192 @t190))
% 0.54/0.77  (define @t194 () (@list @t193))
% 0.54/0.77  (define @t195 () (not (tptp.in @t42 @t86)))
% 0.54/0.77  (define @t196 () (forall @t37 (or @t126 (not (forall @t46 (or @t195 @t181))))))
% 0.54/0.77  (define @t197 () (@quantifiers_skolemize @t196 0))
% 0.54/0.77  (define @t198 () (@list @t197))
% 0.54/0.77  (define @t199 () (tptp.in @t197 @t184))
% 0.54/0.77  (define @t200 () (not @t199))
% 0.54/0.77  (define @t201 () (tptp.in @t197 @t100))
% 0.54/0.77  (define @t202 () (not @t201))
% 0.54/0.77  (define @t203 () (or @t202 @t200))
% 0.54/0.77  (define @t204 () (tptp.subset @t184 @t100))
% 0.54/0.77  (define @t205 () (or @t192 @t204))
% 0.54/0.77  (define @t206 () (forall @t37 (or (not (tptp.in @t25 @t184)) @t124)))
% 0.54/0.77  (define @t207 () (= @t204 @t206))
% 0.54/0.77  (define @t208 () (or @t200 @t201))
% 0.54/0.77  (define @t209 () (forall @t33 (or @t90 @t126 @t30 @t28 @t26)))
% 0.54/0.77  (define @t210 () (@quantifiers_skolemize @t209 0))
% 0.54/0.77  (define @t211 () (not @t196))
% 0.54/0.77  (define @t212 () (tptp.in @t210 @t86))
% 0.54/0.77  (define @t213 () (not @t212))
% 0.54/0.77  (define @t214 () (or @t213 @t211))
% 0.54/0.77  (define @t215 () (or @t95 @t211))
% 0.54/0.77  (define @t216 () (@quantifiers_skolemize @t209 1))
% 0.54/0.77  (define @t217 () (tptp.in @t216 @t210))
% 0.54/0.77  (define @t218 () (= @t210 @t216))
% 0.54/0.77  (define @t219 () (tptp.in @t210 @t216))
% 0.54/0.77  (define @t220 () (tptp.in @t216 @t86))
% 0.54/0.77  (define @t221 () (not @t220))
% 0.54/0.77  (define @t222 () (or @t213 @t221 @t219 @t218 @t217))
% 0.54/0.77  (define @t223 () (not @t222))
% 0.54/0.77  (define @t224 () (not @t209))
% 0.54/0.77  (define @t225 () (not @t96))
% 0.54/0.77  (define @t226 () (not @t91))
% 0.54/0.77  (define @t227 () (tptp.epsilon_connected @t86))
% 0.54/0.77  (define @t228 () (= @t227 @t209))
% 0.54/0.77  (define @t229 () (tptp.epsilon_transitive @t86))
% 0.54/0.77  (define @t230 () (= @t229 @t91))
% 0.54/0.77  (define @t231 () (not @t227))
% 0.54/0.77  (define @t232 () (not @t229))
% 0.54/0.77  (define @t233 () (or @t232 @t231 @t104))
% 0.54/0.77  (define @t234 () (tptp.in @t197 @t86))
% 0.54/0.77  (define @t235 () (not @t234))
% 0.54/0.77  (define @t236 () (or @t235 (not (forall @t46 (or @t195 (not (tptp.in @t42 @t197)))))))
% 0.54/0.77  (define @t237 () (not @t236))
% 0.54/0.77  (define @t238 () (= @t86 @t184))
% 0.54/0.77  (define @t239 () (and @t238 @t234))
% 0.54/0.77  (define @t240 () (tptp.in @t86 @t184))
% 0.54/0.77  (define @t241 () (not @t240))
% 0.54/0.77  (define @t242 () (or @t106 @t241))
% 0.54/0.77  (define @t243 () (tptp.in @t184 @t86))
% 0.54/0.77  (define @t244 () (or @t106 @t192 @t240 @t238 @t243))
% 0.54/0.77  (define @t245 () (tptp.empty @t86))
% 0.54/0.77  (define @t246 () (not @t245))
% 0.54/0.77  (define @t247 () (not @t243))
% 0.54/0.77  (define @t248 () (or @t247 @t246))
% 0.54/0.77  (define @t249 () (not @t179))
% 0.54/0.77  (define @t250 () (and @t246 @t173))
% 0.54/0.77  (define @t251 () (@list @t222))
% 0.54/0.77  (define @t252 () (tptp.element @t86 @t145))
% 0.54/0.77  (define @t253 () (= @t122 @t252))
% 0.54/0.77  (define @t254 () (tptp.element @t216 @t100))
% 0.54/0.77  (define @t255 () (not @t252))
% 0.54/0.77  (define @t256 () (or @t221 @t255 @t254))
% 0.54/0.77  (define @t257 () (tptp.element @t210 @t100))
% 0.54/0.77  (define @t258 () (or @t213 @t255 @t257))
% 0.54/0.77  (define @t259 () (tptp.in @t216 @t100))
% 0.54/0.77  (define @t260 () (not @t254))
% 0.54/0.77  (define @t261 () (or @t260 @t161 @t259))
% 0.54/0.77  (define @t262 () (tptp.in @t210 @t100))
% 0.54/0.77  (define @t263 () (not @t257))
% 0.54/0.77  (define @t264 () (or @t263 @t161 @t262))
% 0.54/0.77  (define @t265 () (not @t259))
% 0.54/0.77  (define @t266 () (not @t262))
% 0.54/0.77  (define @t267 () (or @t266 @t265 @t219 @t218 @t217))
% 0.54/0.77  (assume @p1 @t7)
% 0.54/0.77  (assume @p2 (forall @t10 (=> @t9 @t8)))
% 0.54/0.77  (assume @p3 @t15)
% 0.54/0.77  (assume @p4 (forall @t10 (=> @t9 @t16)))
% 0.54/0.77  (assume @p5 (forall @t10 (=> @t18 @t17)))
% 0.54/0.77  (assume @p6 @t19)
% 0.54/0.77  (assume @p7 @t24)
% 0.54/0.77  (assume @p8 @t36)
% 0.54/0.77  (assume @p9 @t41)
% 0.54/0.77  (assume @p10 (forall @t10 (= @t14 @t13)))
% 0.54/0.77  (assume @p11 (forall @t48 (= (= @t25 @t47) (forall @t46 (= @t45 (and (tptp.in @t42 @t1) @t44))))))
% 0.54/0.77  (assume @p12 true)
% 0.54/0.77  (assume @p13 (forall @t10 (exists @t21 (tptp.element @t2 @t1))))
% 0.54/0.77  (assume @p14 (and @t50 @t49 (tptp.relation_empty_yielding tptp.empty_set)))
% 0.54/0.77  (assume @p15 @t50)
% 0.54/0.77  (assume @p16 (forall @t6 (=> (and @t16 (tptp.relation @t2)) (tptp.relation @t47))))
% 0.54/0.77  (assume @p17 (and @t50 @t49))
% 0.54/0.77  (assume @p18 (exists @t10 (and @t16 @t8)))
% 0.54/0.77  (assume @p19 (exists @t10 (and @t12 @t11 @t14)))
% 0.54/0.77  (assume @p20 (exists @t10 (and @t9 @t16)))
% 0.54/0.77  (assume @p21 (exists @t10 @t9))
% 0.54/0.77  (assume @p22 (exists @t10 @t18))
% 0.54/0.77  (assume @p23 (exists @t10 (and @t51 @t16)))
% 0.54/0.77  (assume @p24 (exists @t10 @t51))
% 0.54/0.77  (assume @p25 (exists @t10 @t17))
% 0.54/0.77  (assume @p26 (exists @t10 (and @t16 @t52)))
% 0.54/0.77  (assume @p27 (exists @t10 (and @t16 @t52 @t8)))
% 0.54/0.77  (assume @p28 (forall @t6 (tptp.subset @t1 @t1)))
% 0.54/0.77  (assume @p29 @t54)
% 0.54/0.77  (assume @p30 @t58)
% 0.54/0.77  (assume @p31 @t61)
% 0.54/0.77  (assume @p32 (forall @t10 (= (tptp.set_difference @t1 tptp.empty_set) @t1)))
% 0.54/0.77  (assume @p33 @t62)
% 0.54/0.77  (assume @p34 @t64)
% 0.54/0.77  (assume @p35 (forall @t10 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set)))
% 0.54/0.77  (assume @p36 @t68)
% 0.54/0.77  (assume @p37 (forall @t48 (not (and @t5 @t66 (tptp.empty @t25)))))
% 0.54/0.77  (assume @p38 (forall @t10 (=> @t9 (= @t1 tptp.empty_set))))
% 0.54/0.77  (assume @p39 @t69)
% 0.54/0.77  (assume @p40 @t76)
% 0.54/0.77  (assume @p41 (forall @t6 (not (and @t9 (not (= @t1 @t2)) @t59))))
% 0.54/0.77  (step @p42 :rule bool-double-not-elim :args (@t26))
% 0.54/0.77  (step @p43 :rule bool-double-not-elim :args (@t28))
% 0.54/0.77  (step @p44 :rule bool-double-not-elim :args (@t30))
% 0.54/0.77  (step @p45 :rule refl :args (@t77))
% 0.54/0.77  (step @p46 :rule refl :args (@t4))
% 0.54/0.77  (step @p47 :rule nary_cong :premises (@p46 @p45 @p44 @p43 @p42) :args (@t81))
% 0.54/0.77  (step @p48 :rule aci_norm :args ((= (or @t4 (or @t77 (or @t80 (or @t79 @t78)))) @t81)))
% 0.54/0.77  (step @p49 :rule trans :premises (@p48 @p47))
% 0.54/0.77  (step @p50 :rule bool-and-de-morgan :args (@t29 @t27 true))
% 0.54/0.77  (step @p51 :rule refl :args (@t80))
% 0.54/0.77  (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or @t80 (not (and @t29 @t27)))))
% 0.54/0.77  (step @p53 :rule bool-and-de-morgan :args (@t31 @t29 (and @t27)))
% 0.54/0.77  (step @p54 :rule trans :premises (@p53 @p52))
% 0.54/0.77  (step @p55 :rule nary_cong :premises (@p45 @p54) :args ((or @t77 (not (and @t31 @t29 @t27)))))
% 0.54/0.77  (step @p56 :rule bool-and-de-morgan :args (@t32 @t31 (and @t29 @t27)))
% 0.54/0.77  (step @p57 :rule trans :premises (@p56 @p55))
% 0.54/0.77  (step @p58 :rule nary_cong :premises (@p46 @p57) :args ((or @t4 (not (and @t32 @t31 @t29 @t27)))))
% 0.54/0.77  (step @p59 :rule bool-and-de-morgan :args (@t3 @t32 (and @t31 @t29 @t27)))
% 0.54/0.77  (step @p60 :rule trans :premises (@p59 @p58))
% 0.54/0.77  (step @p61 :rule trans :premises (@p60 @p49))
% 0.54/0.77  (step @p62 :rule cong :premises (@p61) :args (@t34))
% 0.54/0.77  (step @p63 :rule refl :args (@t11))
% 0.54/0.77  (step @p64 :rule cong :premises (@p63 @p62) :args (@t35))
% 0.54/0.77  (step @p65 :rule cong :premises (@p64) :args (@t36))
% 0.54/0.77  (step @p66 :rule eq_resolve :premises (@p8 @p65))
% 0.54/0.77  (step @p67 :rule instantiate :premises (@p66) :args (@t87))
% 0.54/0.77  (step @p68 :rule aci_norm :args ((= (or (or @t89 @t88) @t14) (or @t89 @t88 @t14))))
% 0.54/0.77  (step @p69 :rule refl :args (@t14))
% 0.54/0.77  (step @p70 :rule bool-and-de-morgan :args (@t12 @t11 true))
% 0.54/0.77  (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or (not @t13) @t14)))
% 0.54/0.77  (step @p72 :rule trans :premises (@p71 @p68))
% 0.54/0.77  (step @p73 :rule bool-impl-elim :args (@t13 @t14))
% 0.54/0.77  (step @p74 :rule trans :premises (@p73 @p72))
% 0.54/0.77  (step @p75 :rule cong :premises (@p74) :args (@t19))
% 0.54/0.77  (step @p76 :rule eq_resolve :premises (@p6 @p75))
% 0.54/0.77  (step @p77 :rule instantiate :premises (@p76) :args (@t87))
% 0.54/0.77  (step @p78 :rule bool-impl-elim :args (@t3 @t20))
% 0.54/0.77  (step @p79 :rule cong :premises (@p78) :args (@t22))
% 0.54/0.77  (step @p80 :rule refl :args (@t12))
% 0.54/0.77  (step @p81 :rule cong :premises (@p80 @p79) :args (@t23))
% 0.54/0.77  (step @p82 :rule cong :premises (@p81) :args (@t24))
% 0.54/0.77  (step @p83 :rule eq_resolve :premises (@p7 @p82))
% 0.54/0.77  (step @p84 :rule instantiate :premises (@p83) :args (@t87))
% 0.54/0.77  (step @p85 :rule bool-double-not-elim :args (@t93))
% 0.54/0.77  (step @p86 :rule refl :args (@t96))
% 0.54/0.77  (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or @t96 (not @t95))))
% 0.54/0.77  (step @p88 :rule cnf_or_neg :args (@t96 0))
% 0.54/0.77  (step @p89 :rule eq_resolve :premises (@p88 @p87))
% 0.54/0.77  (step @p90 :rule reordering :premises (@p89) :args ((or @t93 @t96)))
% 0.54/0.77  (step @p91 :rule cnf_or_neg :args (@t96 1))
% 0.54/0.77  (step @p92 :rule bool-impl-elim :args (@t5 @t53))
% 0.54/0.77  (step @p93 :rule cong :premises (@p92) :args (@t54))
% 0.54/0.77  (step @p94 :rule eq_resolve :premises (@p29 @p93))
% 0.54/0.77  (step @p95 :rule instantiate :premises (@p94) :args (@t97))
% 0.54/0.77  (step @p96 :rule cnf_or_pos :args (@t99))
% 0.54/0.77  (step @p97 :rule reordering :premises (@p96) :args ((or @t95 @t98 (not @t99))))
% 0.54/0.77  (step @p98 :rule bool-impl-elim :args (@t32 @t26))
% 0.54/0.77  (step @p99 :rule cong :premises (@p98) :args (@t38))
% 0.54/0.77  (step @p100 :rule refl :args (@t39))
% 0.54/0.77  (step @p101 :rule cong :premises (@p100 @p99) :args (@t40))
% 0.54/0.77  (step @p102 :rule cong :premises (@p101) :args (@t41))
% 0.54/0.77  (step @p103 :rule eq_resolve :premises (@p9 @p102))
% 0.54/0.77  (step @p104 :rule instantiate :premises (@p103) :args (@t101))
% 0.54/0.77  (step @p105 :rule instantiate :premises (@p83) :args (@t102))
% 0.54/0.77  (step @p106 :rule bool-impl-elim :args (@t14 @t13))
% 0.54/0.77  (step @p107 :rule cong :premises (@p106) :args (@t15))
% 0.54/0.77  (step @p108 :rule eq_resolve :premises (@p3 @p107))
% 0.54/0.77  (step @p109 :rule instantiate :premises (@p108) :args (@t102))
% 0.54/0.77  (step @p110 :rule aci_norm :args ((= (or @t83 (or @t82 @t14)) @t84)))
% 0.54/0.77  (step @p111 :rule bool-impl-elim :args (@t5 @t14))
% 0.54/0.77  (step @p112 :rule refl :args (@t83))
% 0.54/0.77  (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or @t83 @t55)))
% 0.54/0.77  (step @p114 :rule trans :premises (@p113 @p110))
% 0.54/0.77  (step @p115 :rule bool-impl-elim :args (@t56 @t55))
% 0.54/0.77  (step @p116 :rule trans :premises (@p115 @p114))
% 0.54/0.77  (step @p117 :rule cong :premises (@p116) :args (@t57))
% 0.54/0.77  (step @p118 :rule cong :premises (@p117) :args (@t58))
% 0.54/0.77  (step @p119 :rule eq_resolve :premises (@p30 @p118))
% 0.54/0.77  (step @p120 :rule skolemize :premises (@p119))
% 0.54/0.77  (step @p121 :rule bool-double-not-elim :args (@t103))
% 0.54/0.77  (step @p122 :rule refl :args (@t108))
% 0.54/0.77  (step @p123 :rule nary_cong :premises (@p122 @p121) :args ((or @t108 (not @t107))))
% 0.54/0.77  (step @p124 :rule cnf_or_neg :args (@t108 0))
% 0.54/0.77  (step @p125 :rule eq_resolve :premises (@p124 @p123))
% 0.54/0.77  (step @p126 :rule reordering :premises (@p125) :args ((or @t103 @t108)))
% 0.54/0.77  (step @p127 :rule chain_m_resolution :premises (@p126 @p120) :args (@t103 @t109 @t110))
% 0.54/0.77  (step @p128 :rule cnf_or_pos :args (@t114))
% 0.54/0.77  (step @p129 :rule reordering :premises (@p128) :args ((or @t107 @t113 (not @t114))))
% 0.54/0.77  (step @p130 :rule chain_m_resolution :premises (@p129 @p127 @p109) :args (@t113 @t115 (@list @t103 @t114)))
% 0.54/0.77  (step @p131 :rule cnf_and_pos :args (@t113 0))
% 0.54/0.77  (step @p132 :rule reordering :premises (@p131) :args ((or @t112 @t116)))
% 0.54/0.77  (step @p133 :rule chain_m_resolution :premises (@p132 @p130) :args (@t112 @t117 @t118))
% 0.54/0.77  (step @p134 :rule cnf_equiv_pos1 :args (@t121))
% 0.54/0.77  (step @p135 :rule reordering :premises (@p134) :args ((or (not @t112) @t120 (not @t121))))
% 0.54/0.77  (step @p136 :rule chain_m_resolution :premises (@p135 @p133 @p105) :args (@t120 @t115 (@list @t112 @t121)))
% 0.54/0.77  (step @p137 :rule instantiate :premises (@p136) :args (@t87))
% 0.54/0.77  (step @p138 :rule bool-double-not-elim :args (@t105))
% 0.54/0.77  (step @p139 :rule nary_cong :premises (@p122 @p138) :args ((or @t108 (not @t106))))
% 0.54/0.77  (step @p140 :rule cnf_or_neg :args (@t108 1))
% 0.54/0.77  (step @p141 :rule eq_resolve :premises (@p140 @p139))
% 0.54/0.77  (step @p142 :rule reordering :premises (@p141) :args ((or @t105 @t108)))
% 0.54/0.77  (step @p143 :rule chain_m_resolution :premises (@p142 @p120) :args (@t105 @t109 @t110))
% 0.54/0.77  (step @p144 :rule cnf_or_pos :args (@t123))
% 0.54/0.77  (step @p145 :rule reordering :premises (@p144) :args ((or @t106 @t122 (not @t123))))
% 0.54/0.77  (step @p146 :rule chain_m_resolution :premises (@p145 @p143 @p137) :args (@t122 @t115 (@list @t105 @t123)))
% 0.54/0.77  (step @p147 :rule cnf_equiv_pos1 :args (@t128))
% 0.54/0.77  (step @p148 :rule reordering :premises (@p147) :args ((or @t129 @t127 (not @t128))))
% 0.54/0.77  (step @p149 :rule chain_m_resolution :premises (@p148 @p146 @p104) :args (@t127 @t115 (@list @t122 @t128)))
% 0.54/0.77  (step @p150 :rule instantiate :premises (@p149) :args (@t130))
% 0.54/0.77  (step @p151 :rule cnf_or_pos :args (@t132))
% 0.54/0.77  (step @p152 :rule reordering :premises (@p151) :args ((or @t95 @t131 (not @t132))))
% 0.54/0.77  (step @p153 :rule instantiate :premises (@p103) :args (@t97))
% 0.54/0.77  (step @p154 :rule cnf_equiv_pos2 :args (@t134))
% 0.54/0.77  (step @p155 :rule reordering :premises (@p154) :args ((or @t94 @t135 (not @t134))))
% 0.54/0.77  (step @p156 :rule instantiate :premises (@p136) :args (@t130))
% 0.54/0.77  (step @p157 :rule cnf_or_pos :args (@t138))
% 0.54/0.77  (step @p158 :rule reordering :premises (@p157) :args ((or @t137 @t136 (not @t138))))
% 0.54/0.77  (step @p159 :rule refl :args (@t144))
% 0.54/0.77  (step @p160 :rule bool-double-not-elim :args (@t133))
% 0.54/0.77  (step @p161 :rule nary_cong :premises (@p160 @p159) :args ((or (not @t135) @t144)))
% 0.54/0.77  (assume-push @p488 @t135)
% 0.54/0.77  (step @p163 :rule skolemize :premises (@p488))
% 0.54/0.77  (step-pop @p489 :rule scope :premises (@p163))
% 0.54/0.77  (step @p164 :rule process_scope :premises (@p489) :args (@t144))
% 0.54/0.77  (step @p166 :rule implies_elim :premises (@p164))
% 0.54/0.77  (step @p167 :rule eq_resolve :premises (@p166 @p161))
% 0.54/0.77  (step @p168 :rule eq-symm :args (@t63 @t39))
% 0.54/0.77  (step @p169 :rule cong :premises (@p168) :args (@t64))
% 0.54/0.77  (step @p170 :rule eq_resolve :premises (@p34 @p169))
% 0.54/0.77  (step @p171 :rule eq-symm :args (@t136 @t146))
% 0.54/0.77  (step @p172 :rule refl :args (@t147))
% 0.54/0.77  (step @p173 :rule cong :premises (@p172 @p171) :args ((=> @t147 @t148)))
% 0.54/0.77  (assume-push @p490 @t147)
% 0.54/0.77  (step @p175 :rule instantiate :premises (@p170) :args ((@list @t92 @t100)))
% 0.54/0.77  (step-pop @p491 :rule scope :premises (@p175))
% 0.54/0.77  (step @p176 :rule process_scope :premises (@p491) :args (@t148))
% 0.54/0.77  (step @p178 :rule eq_resolve :premises (@p176 @p173))
% 0.54/0.77  (step @p179 :rule implies_elim :premises (@p178))
% 0.54/0.77  (step @p180 :rule chain_m_resolution :premises (@p179 @p170) :args (@t149 @t117 (@list @t147)))
% 0.54/0.77  (step @p181 :rule cnf_equiv_pos2 :args (@t149))
% 0.54/0.77  (step @p182 :rule reordering :premises (@p181) :args ((or @t146 (not @t136) (not @t149))))
% 0.54/0.77  (step @p183 :rule bool-double-not-elim :args (@t141))
% 0.54/0.77  (step @p184 :rule refl :args (@t143))
% 0.54/0.77  (step @p185 :rule nary_cong :premises (@p184 @p183) :args ((or @t143 (not @t142))))
% 0.54/0.77  (step @p186 :rule cnf_or_neg :args (@t143 0))
% 0.54/0.77  (step @p187 :rule eq_resolve :premises (@p186 @p185))
% 0.54/0.77  (step @p188 :rule reordering :premises (@p187) :args ((or @t141 @t143)))
% 0.54/0.77  (step @p189 :rule cnf_or_neg :args (@t143 1))
% 0.54/0.77  (step @p190 :rule aci_norm :args ((= (or (or @t82 @t150) @t65) (or @t82 @t150 @t65))))
% 0.54/0.77  (step @p191 :rule refl :args (@t65))
% 0.54/0.77  (step @p192 :rule bool-and-de-morgan :args (@t5 @t66 true))
% 0.54/0.77  (step @p193 :rule nary_cong :premises (@p192 @p191) :args ((or (not @t67) @t65)))
% 0.54/0.77  (step @p194 :rule trans :premises (@p193 @p190))
% 0.54/0.77  (step @p195 :rule bool-impl-elim :args (@t67 @t65))
% 0.54/0.77  (step @p196 :rule trans :premises (@p195 @p194))
% 0.54/0.77  (step @p197 :rule cong :premises (@p196) :args (@t68))
% 0.54/0.77  (step @p198 :rule eq_resolve :premises (@p36 @p197))
% 0.54/0.77  (step @p199 :rule instantiate :premises (@p198) :args ((@list @t139 @t92 @t100)))
% 0.54/0.77  (step @p200 :rule cnf_or_pos :args (@t153))
% 0.54/0.77  (step @p201 :rule reordering :premises (@p200) :args ((or @t142 @t151 @t152 (not @t153))))
% 0.54/0.77  (step @p202 :rule bool-impl-elim :args (@t5 @t4))
% 0.54/0.77  (step @p203 :rule cong :premises (@p202) :args (@t7))
% 0.54/0.77  (step @p204 :rule eq_resolve :premises (@p1 @p203))
% 0.54/0.77  (step @p205 :rule instantiate :premises (@p204) :args (@t154))
% 0.54/0.77  (step @p206 :rule cnf_or_pos :args (@t157))
% 0.54/0.77  (step @p207 :rule reordering :premises (@p206) :args ((or @t142 @t156 (not @t157))))
% 0.54/0.77  (step @p208 :rule aci_norm :args ((= (or @t82 (or @t31 @t77)) (or @t82 @t31 @t77))))
% 0.54/0.77  (step @p209 :rule bool-and-de-morgan :args (@t30 @t32 true))
% 0.54/0.77  (step @p210 :rule refl :args (@t82))
% 0.54/0.77  (step @p211 :rule nary_cong :premises (@p210 @p209) :args ((or @t82 (not (and @t30 @t32)))))
% 0.54/0.77  (step @p212 :rule bool-and-de-morgan :args (@t5 @t30 (and @t32)))
% 0.54/0.77  (step @p213 :rule trans :premises (@p212 @p211))
% 0.54/0.77  (step @p214 :rule trans :premises (@p213 @p208))
% 0.54/0.77  (step @p215 :rule cong :premises (@p214) :args (@t62))
% 0.54/0.77  (step @p216 :rule eq_resolve :premises (@p33 @p215))
% 0.54/0.77  (step @p217 :rule instantiate :premises (@p216) :args ((@list @t92 @t86 @t139)))
% 0.54/0.77  (step @p218 :rule cnf_or_pos :args (@t160))
% 0.54/0.77  (step @p219 :rule reordering :premises (@p218) :args ((or @t95 @t142 @t159 (not @t160))))
% 0.54/0.77  (step @p220 :rule bool-and-de-morgan :args (@t5 @t59 true))
% 0.54/0.77  (step @p221 :rule cong :premises (@p220) :args (@t69))
% 0.54/0.77  (step @p222 :rule eq_resolve :premises (@p39 @p221))
% 0.54/0.77  (step @p223 :rule instantiate :premises (@p222) :args (@t101))
% 0.54/0.77  (step @p224 :rule cnf_or_pos :args (@t163))
% 0.54/0.77  (step @p225 :rule reordering :premises (@p224) :args ((or @t106 @t162 (not @t163))))
% 0.54/0.77  (step @p226 :rule chain_m_resolution :premises (@p225 @p143 @p223) :args (@t162 @t115 (@list @t105 @t163)))
% 0.54/0.77  (step @p227 :rule aci_norm :args ((= (or @t164 @t60) (or @t164 @t59 @t5))))
% 0.54/0.77  (step @p228 :rule bool-impl-elim :args (@t53 @t60))
% 0.54/0.77  (step @p229 :rule trans :premises (@p228 @p227))
% 0.54/0.77  (step @p230 :rule cong :premises (@p229) :args (@t61))
% 0.54/0.77  (step @p231 :rule eq_resolve :premises (@p31 @p230))
% 0.54/0.77  (step @p232 :rule instantiate :premises (@p231) :args ((@list @t139 @t100)))
% 0.54/0.77  (step @p233 :rule cnf_or_pos :args (@t167))
% 0.54/0.77  (step @p234 :rule reordering :premises (@p233) :args ((or @t161 @t165 @t166 (not @t167))))
% 0.54/0.77  (step @p235 :rule instantiate :premises (@p66) :args (@t102))
% 0.54/0.77  (step @p236 :rule cnf_and_pos :args (@t113 1))
% 0.54/0.77  (step @p237 :rule reordering :premises (@p236) :args ((or @t111 @t116)))
% 0.54/0.77  (step @p238 :rule chain_m_resolution :premises (@p237 @p130) :args (@t111 @t117 @t118))
% 0.54/0.77  (step @p239 :rule cnf_equiv_pos1 :args (@t170))
% 0.54/0.77  (step @p240 :rule reordering :premises (@p239) :args ((or (not @t111) @t169 (not @t170))))
% 0.54/0.77  (step @p241 :rule chain_m_resolution :premises (@p240 @p238 @p235) :args (@t169 @t115 (@list @t111 @t170)))
% 0.54/0.77  (step @p242 :rule refl :args (@t158))
% 0.54/0.77  (step @p243 :rule eq-symm :args (@t139 @t86))
% 0.54/0.77  (step @p244 :rule refl :args (@t140))
% 0.54/0.77  (step @p245 :rule refl :args (@t106))
% 0.54/0.77  (step @p246 :rule refl :args (@t171))
% 0.54/0.77  (step @p247 :rule nary_cong :premises (@p246 @p245 @p244 @p243 @p242) :args (@t172))
% 0.54/0.77  (step @p248 :rule refl :args (@t169))
% 0.54/0.77  (step @p249 :rule cong :premises (@p248 @p247) :args ((=> @t169 @t172)))
% 0.54/0.77  (assume-push @p492 @t169)
% 0.54/0.77  (step @p251 :rule instantiate :premises (@p241) :args ((@list @t139 @t86)))
% 0.54/0.77  (step-pop @p493 :rule scope :premises (@p251))
% 0.54/0.77  (step @p252 :rule process_scope :premises (@p493) :args (@t172))
% 0.54/0.77  (step @p254 :rule eq_resolve :premises (@p252 @p249))
% 0.54/0.77  (step @p255 :rule implies_elim :premises (@p254))
% 0.54/0.77  (step @p256 :rule chain_m_resolution :premises (@p255 @p241) :args (@t174 @t117 (@list @t169)))
% 0.54/0.77  (step @p257 :rule cnf_or_pos :args (@t174))
% 0.54/0.77  (step @p258 :rule reordering :premises (@p257) :args ((or @t106 @t140 @t171 @t158 @t173 (not @t174))))
% 0.54/0.77  (step @p259 :rule bool-double-not-elim :args (@t175))
% 0.54/0.77  (step @p260 :rule refl :args (@t176))
% 0.54/0.77  (step @p261 :rule refl :args (@t177))
% 0.54/0.77  (step @p262 :rule nary_cong :premises (@p261 @p260 @p259) :args ((or @t177 @t176 (not @t178))))
% 0.54/0.77  (assume-push @p494 @t98)
% 0.54/0.77  (assume-push @p495 @t173)
% 0.54/0.77  (assume-push @p496 @t178)
% 0.54/0.77  (step @p266 :rule evaluate :args ((= false true)))
% 0.54/0.77  (step @p267 :rule true_intro :premises (@p494))
% 0.54/0.77  (step @p268 :rule symm :premises (@p495))
% 0.54/0.77  (step @p269 :rule refl :args (@t92))
% 0.54/0.77  (step @p270 :rule cong :premises (@p269 @p268) :args (@t175))
% 0.54/0.77  (step @p271 :rule false_intro :premises (@p496))
% 0.54/0.77  (step @p272 :rule symm :premises (@p271))
% 0.54/0.77  (step @p273 :rule trans :premises (@p272 @p270 @p267))
% 0.54/0.77  (step @p274 false :rule eq_resolve :premises (@p273 @p266))
% 0.54/0.77  (step-pop @p497 :rule scope :premises (@p274))
% 0.54/0.77  (step-pop @p498 :rule scope :premises (@p497))
% 0.54/0.77  (step-pop @p499 :rule scope :premises (@p498))
% 0.54/0.77  (step @p275 :rule process_scope :premises (@p499) :args (false))
% 0.54/0.77  (step @p279 :rule not_and :premises (@p275))
% 0.54/0.77  (step @p280 :rule eq_resolve :premises (@p279 @p262))
% 0.54/0.77  (step @p281 :rule instantiate :premises (@p231) :args (@t154))
% 0.54/0.77  (step @p282 :rule cnf_or_pos :args (@t180))
% 0.54/0.77  (step @p283 :rule reordering :premises (@p282) :args ((or @t155 @t179 @t178 (not @t180))))
% 0.54/0.77  (step @p284 :rule instantiate :premises (@p222) :args ((@list @t184 @t86)))
% 0.54/0.77  (step @p285 :rule instantiate :premises (@p241) :args ((@list @t86 @t184)))
% 0.54/0.77  (step @p286 :rule bool-and-de-morgan :args (@t5 @t186 true))
% 0.54/0.77  (step @p287 :rule cong :premises (@p286) :args ((forall @t6 (not (and @t5 @t186)))))
% 0.54/0.77  (step @p288 :rule bool-and-de-morgan :args (@t26 @t185 true))
% 0.54/0.77  (step @p289 :rule cong :premises (@p288) :args ((forall @t37 (not (and @t26 @t185)))))
% 0.54/0.77  (step @p290 :rule bool-and-de-morgan :args (@t43 @t45 true))
% 0.54/0.77  (step @p291 :rule cong :premises (@p290) :args (@t70))
% 0.54/0.77  (step @p292 :rule refl :args (@t26))
% 0.54/0.77  (step @p293 :rule nary_cong :premises (@p292 @p291) :args (@t71))
% 0.54/0.77  (step @p294 :rule cong :premises (@p293) :args (@t72))
% 0.54/0.77  (step @p295 :rule cong :premises (@p294) :args (@t73))
% 0.54/0.77  (step @p296 :rule trans :premises (@p295 @p289))
% 0.54/0.77  (step @p297 :rule refl :args (@t5))
% 0.54/0.77  (step @p298 :rule nary_cong :premises (@p297 @p296) :args (@t74))
% 0.54/0.77  (step @p299 :rule cong :premises (@p298) :args (@t75))
% 0.54/0.77  (step @p300 :rule cong :premises (@p299) :args (@t76))
% 0.54/0.77  (step @p301 :rule trans :premises (@p300 @p287))
% 0.54/0.77  (step @p302 :rule eq_resolve :premises (@p40 @p301))
% 0.54/0.77  (step @p303 :rule instantiate :premises (@p302) :args (@t101))
% 0.54/0.77  (step @p304 :rule cnf_or_pos :args (@t188))
% 0.54/0.77  (step @p305 :rule reordering :premises (@p304) :args ((or @t106 @t187 (not @t188))))
% 0.54/0.77  (step @p306 :rule chain_m_resolution :premises (@p305 @p143 @p303) :args (@t187 @t115 (@list @t105 @t188)))
% 0.54/0.77  (step @p307 :rule skolemize :premises (@p306))
% 0.54/0.77  (step @p308 :rule bool-double-not-elim :args (@t189))
% 0.54/0.77  (step @p309 :rule refl :args (@t193))
% 0.54/0.77  (step @p310 :rule nary_cong :premises (@p309 @p308) :args ((or @t193 (not @t190))))
% 0.54/0.77  (step @p311 :rule cnf_or_neg :args (@t193 1))
% 0.54/0.77  (step @p312 :rule eq_resolve :premises (@p311 @p310))
% 0.54/0.77  (step @p313 :rule reordering :premises (@p312) :args ((or @t189 @t193)))
% 0.54/0.77  (step @p314 :rule chain_m_resolution :premises (@p313 @p307) :args (@t189 @t109 @t194))
% 0.54/0.77  (step @p315 :rule instantiate :premises (@p314) :args (@t198))
% 0.54/0.77  (step @p316 :rule cnf_or_pos :args (@t203))
% 0.54/0.77  (step @p317 :rule reordering :premises (@p316) :args ((or @t202 @t200 (not @t203))))
% 0.54/0.77  (step @p318 :rule instantiate :premises (@p103) :args ((@list @t184 @t100)))
% 0.54/0.77  (step @p319 :rule instantiate :premises (@p136) :args ((@list @t184)))
% 0.54/0.77  (step @p320 :rule bool-double-not-elim :args (@t191))
% 0.54/0.77  (step @p321 :rule nary_cong :premises (@p309 @p320) :args ((or @t193 (not @t192))))
% 0.54/0.77  (step @p322 :rule cnf_or_neg :args (@t193 0))
% 0.54/0.77  (step @p323 :rule eq_resolve :premises (@p322 @p321))
% 0.54/0.77  (step @p324 :rule reordering :premises (@p323) :args ((or @t191 @t193)))
% 0.54/0.77  (step @p325 :rule chain_m_resolution :premises (@p324 @p307) :args (@t191 @t109 @t194))
% 0.54/0.77  (step @p326 :rule cnf_or_pos :args (@t205))
% 0.54/0.77  (step @p327 :rule reordering :premises (@p326) :args ((or @t192 @t204 (not @t205))))
% 0.54/0.77  (step @p328 :rule chain_m_resolution :premises (@p327 @p325 @p319) :args (@t204 @t115 (@list @t191 @t205)))
% 0.54/0.77  (step @p329 :rule cnf_equiv_pos1 :args (@t207))
% 0.54/0.77  (step @p330 :rule reordering :premises (@p329) :args ((or (not @t204) @t206 (not @t207))))
% 0.54/0.77  (step @p331 :rule chain_m_resolution :premises (@p330 @p328 @p318) :args (@t206 @t115 (@list @t204 @t207)))
% 0.54/0.77  (step @p332 :rule instantiate :premises (@p331) :args (@t198))
% 0.54/0.77  (step @p333 :rule cnf_or_pos :args (@t208))
% 0.54/0.77  (step @p334 :rule reordering :premises (@p333) :args ((or @t201 @t200 (not @t208))))
% 0.54/0.77  (step @p335 :rule chain_m_resolution :premises (@p334 @p332 @p317 @p315) :args (@t200 (@list false true false) (@list @t208 @t201 @t203)))
% 0.54/0.77  (step @p336 :rule instantiate :premises (@p302) :args ((@list @t210 @t86)))
% 0.54/0.77  (step @p337 :rule cnf_or_pos :args (@t214))
% 0.54/0.77  (step @p338 :rule reordering :premises (@p337) :args ((or @t213 @t211 (not @t214))))
% 0.54/0.77  (step @p339 :rule instantiate :premises (@p302) :args (@t97))
% 0.54/0.77  (step @p340 :rule cnf_or_pos :args (@t215))
% 0.54/0.77  (step @p341 :rule reordering :premises (@p340) :args ((or @t95 @t211 (not @t215))))
% 0.54/0.77  (step @p342 :rule bool-double-not-elim :args (@t212))
% 0.54/0.77  (step @p343 :rule refl :args (@t222))
% 0.54/0.77  (step @p344 :rule nary_cong :premises (@p343 @p342) :args ((or @t222 (not @t213))))
% 0.54/0.77  (step @p345 :rule cnf_or_neg :args (@t222 0))
% 0.54/0.77  (step @p346 :rule eq_resolve :premises (@p345 @p344))
% 0.54/0.77  (step @p347 :rule reordering :premises (@p346) :args ((or @t212 @t222)))
% 0.54/0.77  (step @p348 :rule refl :args (@t223))
% 0.54/0.77  (step @p349 :rule bool-double-not-elim :args (@t209))
% 0.54/0.77  (step @p350 :rule nary_cong :premises (@p349 @p348) :args ((or (not @t224) @t223)))
% 0.54/0.77  (assume-push @p500 @t224)
% 0.54/0.77  (step @p352 :rule skolemize :premises (@p500))
% 0.54/0.77  (step-pop @p501 :rule scope :premises (@p352))
% 0.54/0.77  (step @p353 :rule process_scope :premises (@p501) :args (@t223))
% 0.54/0.77  (step @p355 :rule implies_elim :premises (@p353))
% 0.54/0.77  (step @p356 :rule eq_resolve :premises (@p355 @p350))
% 0.54/0.77  (step @p357 :rule refl :args (@t225))
% 0.54/0.77  (step @p358 :rule bool-double-not-elim :args (@t91))
% 0.54/0.77  (step @p359 :rule nary_cong :premises (@p358 @p357) :args ((or (not @t226) @t225)))
% 0.54/0.77  (assume-push @p502 @t226)
% 0.54/0.77  (step @p361 :rule skolemize :premises (@p502))
% 0.54/0.77  (step-pop @p503 :rule scope :premises (@p361))
% 0.54/0.77  (step @p362 :rule process_scope :premises (@p503) :args (@t225))
% 0.54/0.77  (step @p364 :rule implies_elim :premises (@p362))
% 0.54/0.77  (step @p365 :rule eq_resolve :premises (@p364 @p359))
% 0.54/0.77  (step @p366 :rule cnf_equiv_pos2 :args (@t228))
% 0.54/0.77  (step @p367 :rule reordering :premises (@p366) :args ((or @t227 @t224 (not @t228))))
% 0.54/0.77  (step @p368 :rule cnf_equiv_pos2 :args (@t230))
% 0.54/0.77  (step @p369 :rule reordering :premises (@p368) :args ((or @t229 @t226 (not @t230))))
% 0.54/0.77  (step @p370 :rule cnf_or_neg :args (@t108 2))
% 0.54/0.77  (step @p371 :rule chain_m_resolution :premises (@p370 @p120) :args ((not @t104) @t109 @t110))
% 0.54/0.77  (step @p372 :rule cnf_or_pos :args (@t233))
% 0.54/0.77  (step @p373 :rule reordering :premises (@p372) :args ((or @t104 @t232 @t231 (not @t233))))
% 0.54/0.77  (step @p374 :rule chain_m_resolution :premises (@p373 @p77 @p371 @p369 @p84 @p367 @p67 @p365 @p356 @p90 @p347 @p341 @p339 @p338 @p336) :args (@t211 (@list false true false false false false false false false false true false true false) (@list @t233 @t104 @t229 @t230 @t227 @t228 @t91 @t209 @t96 @t222 @t93 @t215 @t212 @t214)))
% 0.54/0.77  (step @p375 :rule refl :args (@t237))
% 0.54/0.77  (step @p376 :rule bool-double-not-elim :args (@t196))
% 0.54/0.77  (step @p377 :rule nary_cong :premises (@p376 @p375) :args ((or (not @t211) @t237)))
% 0.54/0.77  (assume-push @p504 @t211)
% 0.54/0.77  (step @p379 :rule skolemize :premises (@p504))
% 0.54/0.77  (step-pop @p505 :rule scope :premises (@p379))
% 0.54/0.77  (step @p380 :rule process_scope :premises (@p505) :args (@t237))
% 0.54/0.77  (step @p382 :rule implies_elim :premises (@p380))
% 0.54/0.77  (step @p383 :rule eq_resolve :premises (@p382 @p377))
% 0.54/0.77  (step @p384 :rule chain_m_resolution :premises (@p383 @p374) :args (@t237 @t109 (@list @t196)))
% 0.54/0.77  (step @p385 :rule bool-double-not-elim :args (@t234))
% 0.54/0.77  (step @p386 :rule refl :args (@t236))
% 0.54/0.77  (step @p387 :rule nary_cong :premises (@p386 @p385) :args ((or @t236 (not @t235))))
% 0.54/0.77  (step @p388 :rule cnf_or_neg :args (@t236 0))
% 0.54/0.77  (step @p389 :rule eq_resolve :premises (@p388 @p387))
% 0.54/0.77  (step @p390 :rule reordering :premises (@p389) :args ((or @t234 @t236)))
% 0.54/0.77  (step @p391 :rule chain_m_resolution :premises (@p390 @p384) :args (@t234 @t109 (@list @t236)))
% 0.54/0.77  (assume-push @p506 @t238)
% 0.54/0.77  (assume-push @p507 @t234)
% 0.54/0.77  (assume-push @p508 @t234)
% 0.54/0.77  (assume-push @p509 @t238)
% 0.54/0.77  (step @p396 :rule true_intro :premises (@p507))
% 0.54/0.77  (step @p397 :rule symm :premises (@p506))
% 0.54/0.77  (step @p398 :rule refl :args (@t197))
% 0.54/0.77  (step @p399 :rule cong :premises (@p398 @p397) :args (@t199))
% 0.54/0.77  (step @p400 :rule trans :premises (@p399 @p396))
% 0.54/0.77  (step @p401 :rule true_elim :premises (@p400))
% 0.54/0.77  (step-pop @p510 :rule scope :premises (@p401))
% 0.54/0.77  (step-pop @p511 :rule scope :premises (@p510))
% 0.54/0.77  (step @p402 :rule process_scope :premises (@p511) :args (@t199))
% 0.54/0.77  (step @p405 :rule and_intro :premises (@p507 @p506))
% 0.54/0.77  (step @p406 :rule modus_ponens :premises (@p405 @p402))
% 0.54/0.77  (step-pop @p512 :rule scope :premises (@p406))
% 0.54/0.77  (step-pop @p513 :rule scope :premises (@p512))
% 0.54/0.77  (step @p407 :rule process_scope :premises (@p513) :args (@t199))
% 0.54/0.77  (step @p410 :rule implies_elim :premises (@p407))
% 0.54/0.77  (step @p411 :rule cnf_and_neg :args (@t239))
% 0.54/0.77  (step @p412 :rule resolution :premises (@p411 @p410) :args (true @t239))
% 0.54/0.77  (step @p413 :rule chain_m_resolution :premises (@p412 @p391 @p335) :args ((not @t238) (@list false true) (@list @t234 @t199)))
% 0.54/0.77  (step @p414 :rule instantiate :premises (@p314) :args (@t87))
% 0.54/0.77  (step @p415 :rule cnf_or_pos :args (@t242))
% 0.54/0.77  (step @p416 :rule reordering :premises (@p415) :args ((or @t106 @t241 (not @t242))))
% 0.54/0.77  (step @p417 :rule chain_m_resolution :premises (@p416 @p143 @p414) :args (@t241 @t115 (@list @t105 @t242)))
% 0.54/0.77  (step @p418 :rule cnf_or_pos :args (@t244))
% 0.54/0.77  (step @p419 :rule reordering :premises (@p418) :args ((or @t106 @t192 @t240 @t238 @t243 (not @t244))))
% 0.54/0.77  (step @p420 :rule chain_m_resolution :premises (@p419 @p143 @p325 @p417 @p413 @p285) :args (@t243 (@list false false true true false) (@list @t105 @t191 @t240 @t238 @t244)))
% 0.54/0.77  (step @p421 :rule cnf_or_pos :args (@t248))
% 0.54/0.77  (step @p422 :rule reordering :premises (@p421) :args ((or @t246 @t247 (not @t248))))
% 0.54/0.77  (step @p423 :rule chain_m_resolution :premises (@p422 @p420 @p284) :args (@t246 @t115 (@list @t243 @t248)))
% 0.54/0.77  (step @p424 :rule refl :args (@t249))
% 0.54/0.77  (step @p425 :rule bool-double-not-elim :args (@t245))
% 0.54/0.77  (step @p426 :rule nary_cong :premises (@p425 @p260 @p424) :args ((or (not @t246) @t176 @t249)))
% 0.54/0.77  (assume-push @p514 @t246)
% 0.54/0.77  (assume-push @p515 @t173)
% 0.54/0.77  (assume-push @p516 @t246)
% 0.54/0.77  (assume-push @p517 @t173)
% 0.54/0.77  (step @p431 :rule false_intro :premises (@p514))
% 0.54/0.77  (step @p432 :rule symm :premises (@p515))
% 0.54/0.77  (step @p433 :rule cong :premises (@p432) :args (@t179))
% 0.54/0.77  (step @p434 :rule trans :premises (@p433 @p431))
% 0.54/0.77  (step @p435 :rule false_elim :premises (@p434))
% 0.54/0.77  (step-pop @p518 :rule scope :premises (@p435))
% 0.54/0.77  (step-pop @p519 :rule scope :premises (@p518))
% 0.54/0.77  (step @p436 :rule process_scope :premises (@p519) :args (@t249))
% 0.54/0.77  (step @p439 :rule and_intro :premises (@p514 @p515))
% 0.54/0.77  (step @p440 :rule modus_ponens :premises (@p439 @p436))
% 0.54/0.77  (step-pop @p520 :rule scope :premises (@p440))
% 0.54/0.77  (step-pop @p521 :rule scope :premises (@p520))
% 0.54/0.77  (step @p441 :rule process_scope :premises (@p521) :args (@t249))
% 0.54/0.77  (step @p444 :rule implies_elim :premises (@p441))
% 0.54/0.77  (step @p445 :rule cnf_and_neg :args (@t250))
% 0.54/0.77  (step @p446 :rule resolution :premises (@p445 @p444) :args (true @t250))
% 0.54/0.77  (step @p447 :rule eq_resolve :premises (@p446 @p426))
% 0.54/0.77  (step @p448 :rule chain_m_resolution :premises (@p447 @p423 @p283 @p281 @p280 @p258 @p256 @p143 @p234 @p232 @p226 @p219 @p217 @p207 @p205 @p201 @p199 @p189 @p188 @p182 @p180 @p167 @p158 @p156 @p155 @p153 @p152 @p150 @p97 @p95 @p91 @p90) :args (@t96 (@list true false false false false false false false false true true false true false false false true false false false true false false true false false false false false true false) (@list @t245 @t179 @t180 @t175 @t173 @t174 @t105 @t165 @t167 @t161 @t158 @t160 @t155 @t157 @t151 @t153 @t140 @t141 @t146 @t149 @t143 @t136 @t138 @t133 @t134 @t131 @t132 @t98 @t99 @t94 @t93)))
% 0.54/0.77  (step @p449 :rule chain_m_resolution :premises (@p365 @p448) :args (@t91 @t117 (@list @t96)))
% 0.54/0.77  (step @p450 :rule chain_m_resolution :premises (@p369 @p449 @p84) :args (@t229 @t115 (@list @t91 @t230)))
% 0.54/0.77  (step @p451 :rule chain_m_resolution :premises (@p373 @p371 @p450 @p77) :args (@t231 (@list true false false) (@list @t104 @t229 @t233)))
% 0.54/0.77  (step @p452 :rule chain_m_resolution :premises (@p367 @p451 @p67) :args (@t224 (@list true false) (@list @t227 @t228)))
% 0.54/0.77  (step @p453 :rule chain_m_resolution :premises (@p356 @p452) :args (@t223 @t109 (@list @t209)))
% 0.54/0.77  (step @p454 :rule cnf_or_neg :args (@t222 3))
% 0.54/0.77  (step @p455 :rule chain_m_resolution :premises (@p454 @p453) :args ((not @t218) @t109 @t251))
% 0.54/0.77  (step @p456 :rule chain_m_resolution :premises (@p347 @p453) :args (@t212 @t109 @t251))
% 0.54/0.77  (step @p457 :rule cnf_or_neg :args (@t222 2))
% 0.54/0.77  (step @p458 :rule chain_m_resolution :premises (@p457 @p453) :args ((not @t219) @t109 @t251))
% 0.54/0.77  (step @p459 :rule instantiate :premises (@p170) :args (@t101))
% 0.54/0.77  (step @p460 :rule cnf_equiv_pos1 :args (@t253))
% 0.54/0.77  (step @p461 :rule reordering :premises (@p460) :args ((or @t129 @t252 (not @t253))))
% 0.54/0.77  (step @p462 :rule chain_m_resolution :premises (@p461 @p146 @p459) :args (@t252 @t115 (@list @t122 @t253)))
% 0.54/0.77  (step @p463 :rule bool-double-not-elim :args (@t220))
% 0.54/0.77  (step @p464 :rule nary_cong :premises (@p343 @p463) :args ((or @t222 (not @t221))))
% 0.54/0.77  (step @p465 :rule cnf_or_neg :args (@t222 1))
% 0.54/0.77  (step @p466 :rule eq_resolve :premises (@p465 @p464))
% 0.54/0.77  (step @p467 :rule reordering :premises (@p466) :args ((or @t220 @t222)))
% 0.54/0.77  (step @p468 :rule chain_m_resolution :premises (@p467 @p453) :args (@t220 @t109 @t251))
% 0.54/0.77  (step @p469 :rule cnf_or_neg :args (@t222 4))
% 0.54/0.77  (step @p470 :rule chain_m_resolution :premises (@p469 @p453) :args ((not @t217) @t109 @t251))
% 0.54/0.77  (step @p471 :rule instantiate :premises (@p198) :args ((@list @t216 @t86 @t100)))
% 0.54/0.77  (step @p472 :rule cnf_or_pos :args (@t256))
% 0.54/0.77  (step @p473 :rule reordering :premises (@p472) :args ((or @t221 @t254 @t255 (not @t256))))
% 0.54/0.77  (step @p474 :rule instantiate :premises (@p198) :args ((@list @t210 @t86 @t100)))
% 0.54/0.77  (step @p475 :rule cnf_or_pos :args (@t258))
% 0.54/0.77  (step @p476 :rule reordering :premises (@p475) :args ((or @t213 @t257 @t255 (not @t258))))
% 0.54/0.77  (step @p477 :rule instantiate :premises (@p231) :args ((@list @t216 @t100)))
% 0.54/0.77  (step @p478 :rule cnf_or_pos :args (@t261))
% 0.54/0.77  (step @p479 :rule reordering :premises (@p478) :args ((or @t161 @t259 @t260 (not @t261))))
% 0.54/0.77  (step @p480 :rule instantiate :premises (@p231) :args ((@list @t210 @t100)))
% 0.54/0.77  (step @p481 :rule cnf_or_pos :args (@t264))
% 0.54/0.77  (step @p482 :rule reordering :premises (@p481) :args ((or @t161 @t262 @t263 (not @t264))))
% 0.54/0.77  (step @p483 :rule instantiate :premises (@p241) :args ((@list @t210 @t216)))
% 0.54/0.77  (step @p484 :rule cnf_or_pos :args (@t267))
% 0.54/0.77  (step @p485 :rule reordering :premises (@p484) :args ((or @t219 @t218 @t217 @t266 @t265 (not @t267))))
% 0.54/0.77  (step @p486 :rule chain_m_resolution :premises (@p485 @p483 @p482 @p480 @p226 @p479 @p477 @p226 @p476 @p474 @p473 @p471) :args ((or @t213 @t221 @t219 @t218 @t217 @t255) (@list false false false true false false true false false false false) (@list @t267 @t262 @t264 @t161 @t259 @t261 @t161 @t257 @t258 @t254 @t256)))
% 0.54/0.77  (step @p487 false :rule chain_m_resolution :premises (@p486 @p470 @p468 @p462 @p458 @p456 @p455) :args (false (@list true false false true false true) (@list @t217 @t220 @t252 @t219 @t212 @t218)))
% 0.54/0.77  )
% 0.54/0.77  % SZS output end Proof
% 0.54/0.77  % cvc5 exiting
%------------------------------------------------------------------------------