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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU643^2 : TPTP v9.2.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:52:33 AM UTC 2026

% Result   : Theorem 0.95s 1.15s
% Output   : Proof 0.95s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SEU643^2 : TPTP v9.2.1. Released v3.7.0.
% 0.13/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.34  % Computer : n003.cluster.edu
% 0.18/0.34  % Model    : x86_64 x86_64
% 0.18/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34  % Memory   : 8042.1875MB
% 0.18/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Tue Jun  2 17:43:59 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.28/0.49  %----Proving TH0
% 0.95/1.15  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.95/1.15  % SZS status Theorem
% 0.95/1.15  % SZS output start Proof
% 0.95/1.15  (
% 0.95/1.15  (declare-sort $$unsorted 0)
% 0.95/1.15  (declare-const tptp.emptyset $$unsorted)
% 0.95/1.15  (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted))
% 0.95/1.15  (declare-const tptp.setunion (-> $$unsorted $$unsorted))
% 0.95/1.15  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 0.95/1.15  (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted))
% 0.95/1.15  (declare-const tptp.ex1I Bool)
% 0.95/1.15  (declare-const tptp.setukpairinjL1 Bool)
% 0.95/1.15  (declare-const tptp.setadjoinIL Bool)
% 0.95/1.15  (define tptp.iskpair () (let ((_let_1 (@var "Xy" $$unsorted))) (let ((_let_2 (@var "Xx" $$unsorted))) (let ((_let_3 (_ tptp.setadjoin _let_2))) (let ((_let_4 (@var "A" $$unsorted))) (let ((_let_5 (_ tptp.setunion _let_4))) (lambda (@list _let_4) (exists (@list _let_2) (and (_ (_ tptp.in _let_2) _let_5) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_5) (= _let_4 (_ (_ tptp.setadjoin (_ _let_3 tptp.emptyset)) (_ (_ tptp.setadjoin (_ _let_3 (_ (_ tptp.setadjoin _let_1) tptp.emptyset))) tptp.emptyset))))))))))))))
% 0.95/1.15  (define tptp.singleton () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (lambda (@list _let_2) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_2) (= _let_2 (_ (_ tptp.setadjoin _let_1) tptp.emptyset))))))))
% 0.95/1.15  (define tptp.ex1 () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "Xphi" (-> $$unsorted Bool)))) (let ((_let_3 (@var "A" $$unsorted))) (lambda (@list _let_3 _let_2) (_ tptp.singleton (_ (_ tptp.dsetconstr _let_3) (lambda (@list _let_1) (_ _let_2 _let_1)))))))))
% 0.95/1.15  (define @t1 () (@var "Xy" $$unsorted))
% 0.95/1.15  (define @t2 () (@var "Xx" $$unsorted))
% 0.95/1.15  (define @t3 () (_ tptp.setadjoin @t2))
% 0.95/1.15  (define @t4 () (_ @t3 @t1))
% 0.95/1.15  (define @t5 () (_ tptp.in @t2))
% 0.95/1.15  (define @t6 () (_ @t5 @t4))
% 0.95/1.15  (define @t7 () (forall (@list @t2 @t1) @t6))
% 0.95/1.15  (define @t8 () (= tptp.setadjoinIL @t7))
% 0.95/1.15  (define @t9 () (@var "Xphi" (-> $$unsorted Bool)))
% 0.95/1.15  (define @t10 () (_ @t9 @t1))
% 0.95/1.15  (define @t11 () (@list @t1))
% 0.95/1.15  (define @t12 () (lambda @t11 @t10))
% 0.95/1.15  (define @t13 () (@var "A" $$unsorted))
% 0.95/1.15  (define @t14 () (=> @t10 (= @t1 @t2)))
% 0.95/1.15  (define @t15 () (_ tptp.in @t1))
% 0.95/1.15  (define @t16 () (_ @t15 @t13))
% 0.95/1.15  (define @t17 () (=> @t16 @t14))
% 0.95/1.15  (define @t18 () (forall @t11 @t17))
% 0.95/1.15  (define @t19 () (=> @t18 (_ (_ tptp.ex1 @t13) @t12)))
% 0.95/1.15  (define @t20 () (_ @t9 @t2))
% 0.95/1.15  (define @t21 () (=> @t20 @t19))
% 0.95/1.15  (define @t22 () (_ @t5 @t13))
% 0.95/1.15  (define @t23 () (=> @t22 @t21))
% 0.95/1.15  (define @t24 () (@list @t13 @t9 @t2))
% 0.95/1.15  (define @t25 () (forall @t24 @t23))
% 0.95/1.15  (define @t26 () (= tptp.ex1I @t25))
% 0.95/1.15  (define @t27 () (@var "Xz" $$unsorted))
% 0.95/1.15  (define @t28 () (= @t2 @t27))
% 0.95/1.15  (define @t29 () (_ (_ tptp.setadjoin @t1) tptp.emptyset))
% 0.95/1.15  (define @t30 () (_ @t3 @t29))
% 0.95/1.15  (define @t31 () (_ (_ tptp.setadjoin @t30) tptp.emptyset))
% 0.95/1.15  (define @t32 () (_ @t3 tptp.emptyset))
% 0.95/1.15  (define @t33 () (_ (_ tptp.setadjoin @t32) @t31))
% 0.95/1.15  (define @t34 () (_ (_ tptp.setadjoin @t27) tptp.emptyset))
% 0.95/1.15  (define @t35 () (_ (_ tptp.in @t34) @t33))
% 0.95/1.15  (define @t36 () (@list @t2 @t1 @t27))
% 0.95/1.15  (define @t37 () (forall @t36 (=> @t35 @t28)))
% 0.95/1.15  (define @t38 () (= tptp.setukpairinjL1 @t37))
% 0.95/1.15  (define @t39 () (@var "Xu" $$unsorted))
% 0.95/1.15  (define @t40 () (@list @t2))
% 0.95/1.15  (define @t41 () (lambda @t40 (_ (_ tptp.in @t32) @t39)))
% 0.95/1.15  (define @t42 () (_ tptp.setunion @t39))
% 0.95/1.15  (define @t43 () (_ tptp.dsetconstr @t42))
% 0.95/1.15  (define @t44 () (_ @t43 @t41))
% 0.95/1.15  (define @t45 () (=> (_ tptp.iskpair @t39) (_ tptp.singleton @t44)))
% 0.95/1.15  (define @t46 () (@list @t39))
% 0.95/1.15  (define @t47 () (forall @t46 @t45))
% 0.95/1.15  (define @t48 () (=> tptp.setukpairinjL1 @t47))
% 0.95/1.15  (define @t49 () (=> tptp.ex1I @t48))
% 0.95/1.15  (define @t50 () (=> tptp.setadjoinIL @t49))
% 0.95/1.15  (define @t51 () (not @t50))
% 0.95/1.15  (define @t52 () (= @t13 @t33))
% 0.95/1.15  (define @t53 () (_ tptp.setunion @t13))
% 0.95/1.15  (define @t54 () (_ @t15 @t53))
% 0.95/1.15  (define @t55 () (and @t54 @t52))
% 0.95/1.15  (define @t56 () (exists @t11 @t55))
% 0.95/1.15  (define @t57 () (_ @t5 @t53))
% 0.95/1.15  (define @t58 () (and @t57 @t56))
% 0.95/1.15  (define @t59 () (exists @t40 @t58))
% 0.95/1.15  (define @t60 () (@list @t13))
% 0.95/1.15  (define @t61 () (lambda @t60 @t59))
% 0.95/1.15  (define @t62 () (= @t13 @t32))
% 0.95/1.15  (define @t63 () (and @t22 @t62))
% 0.95/1.15  (define @t64 () (exists @t40 @t63))
% 0.95/1.15  (define @t65 () (lambda @t60 @t64))
% 0.95/1.15  (define @t66 () (lambda @t40 @t20))
% 0.95/1.15  (define @t67 () (_ tptp.dsetconstr @t13))
% 0.95/1.15  (define @t68 () (_ @t67 @t66))
% 0.95/1.15  (define @t69 () (@list @t13 @t9))
% 0.95/1.15  (define @t70 () (lambda @t69 (_ tptp.singleton @t68)))
% 0.95/1.15  (define @t71 () (@var "BOUND_VARIABLE_7826" $$unsorted))
% 0.95/1.15  (define @t72 () (@var "BOUND_VARIABLE_7824" $$unsorted))
% 0.95/1.15  (define @t73 () (tptp.setadjoin (tptp.setadjoin @t72 tptp.emptyset) (tptp.setadjoin (tptp.setadjoin @t72 (tptp.setadjoin @t71 tptp.emptyset)) tptp.emptyset)))
% 0.95/1.15  (define @t74 () (tptp.setunion @t73))
% 0.95/1.15  (define @t75 () (not (tptp.in @t71 @t74)))
% 0.95/1.15  (define @t76 () (not (tptp.in @t72 @t74)))
% 0.95/1.15  (define @t77 () (@var "BOUND_VARIABLE_7790" $$unsorted))
% 0.95/1.15  (define @t78 () (tptp.setadjoin @t77 tptp.emptyset))
% 0.95/1.15  (define @t79 () (@list @t77))
% 0.95/1.15  (define @t80 () (tptp.dsetconstr @t74 (lambda @t79 (tptp.in @t78 @t73))))
% 0.95/1.15  (define @t81 () (tptp.setadjoin @t2 tptp.emptyset))
% 0.95/1.15  (define @t82 () (not (forall @t40 (or (not (tptp.in @t2 @t80)) (not (= @t81 @t80))))))
% 0.95/1.15  (define @t83 () (or @t82 @t76 @t75))
% 0.95/1.15  (define @t84 () (@list @t72 @t71))
% 0.95/1.15  (define @t85 () (forall @t84 @t83))
% 0.95/1.15  (define @t86 () (tptp.setadjoin @t1 tptp.emptyset))
% 0.95/1.15  (define @t87 () (tptp.setadjoin @t2 @t86))
% 0.95/1.15  (define @t88 () (tptp.setadjoin @t87 tptp.emptyset))
% 0.95/1.15  (define @t89 () (tptp.setadjoin @t81 @t88))
% 0.95/1.15  (define @t90 () (tptp.setadjoin @t27 tptp.emptyset))
% 0.95/1.15  (define @t91 () (tptp.in @t90 @t89))
% 0.95/1.15  (define @t92 () (not @t35))
% 0.95/1.15  (define @t93 () (or @t92 @t28))
% 0.95/1.15  (define @t94 () (=> tptp.setukpairinjL1 @t85))
% 0.95/1.15  (define @t95 () (@var "BOUND_VARIABLE_7708" $$unsorted))
% 0.95/1.15  (define @t96 () (tptp.setadjoin @t95 tptp.emptyset))
% 0.95/1.15  (define @t97 () (tptp.dsetconstr @t13 @t9))
% 0.95/1.15  (define @t98 () (not (tptp.in @t95 @t97)))
% 0.95/1.15  (define @t99 () (@list @t95))
% 0.95/1.15  (define @t100 () (not (forall @t99 (or @t98 (not (= @t97 @t96))))))
% 0.95/1.15  (define @t101 () (= @t2 @t1))
% 0.95/1.15  (define @t102 () (_ @t9 @t1))
% 0.95/1.15  (define @t103 () (tptp.in @t1 @t13))
% 0.95/1.15  (define @t104 () (forall @t11 (or (not @t103) (not @t102) @t101)))
% 0.95/1.15  (define @t105 () (not @t104))
% 0.95/1.15  (define @t106 () (_ @t9 @t2))
% 0.95/1.15  (define @t107 () (not @t20))
% 0.95/1.15  (define @t108 () (tptp.in @t2 @t13))
% 0.95/1.15  (define @t109 () (not @t22))
% 0.95/1.15  (define @t110 () (or @t109 @t107 @t105 @t100))
% 0.95/1.15  (define @t111 () (or @t107 @t105 @t100))
% 0.95/1.15  (define @t112 () (=> @t104 @t100))
% 0.95/1.15  (define @t113 () (=> @t20 @t112))
% 0.95/1.15  (define @t114 () (not (= @t96 @t97)))
% 0.95/1.15  (define @t115 () (or @t98 @t114))
% 0.95/1.15  (define @t116 () (forall @t99 @t115))
% 0.95/1.15  (define @t117 () (not @t116))
% 0.95/1.15  (define @t118 () (=> @t104 @t117))
% 0.95/1.15  (define @t119 () (=> @t20 @t118))
% 0.95/1.15  (define @t120 () (=> @t22 @t119))
% 0.95/1.15  (define @t121 () (forall @t40 (or (not (tptp.in @t2 @t97)) (not (= @t81 @t97)))))
% 0.95/1.15  (define @t122 () (@list @t2))
% 0.95/1.15  (define @t123 () (not @t121))
% 0.95/1.15  (define @t124 () (=> @t104 @t123))
% 0.95/1.15  (define @t125 () (=> @t20 @t124))
% 0.95/1.15  (define @t126 () (=> @t22 @t125))
% 0.95/1.15  (define @t127 () (lambda @t11 @t102))
% 0.95/1.15  (define @t128 () (tptp.dsetconstr @t13 @t127))
% 0.95/1.15  (define @t129 () (= @t81 @t128))
% 0.95/1.15  (define @t130 () (not @t129))
% 0.95/1.15  (define @t131 () (tptp.in @t2 @t128))
% 0.95/1.15  (define @t132 () (not @t131))
% 0.95/1.15  (define @t133 () (or @t132 @t130))
% 0.95/1.15  (define @t134 () (tptp.dsetconstr @t13 @t12))
% 0.95/1.15  (define @t135 () (= @t81 @t134))
% 0.95/1.15  (define @t136 () (not @t135))
% 0.95/1.15  (define @t137 () (tptp.in @t2 @t134))
% 0.95/1.15  (define @t138 () (not @t137))
% 0.95/1.15  (define @t139 () (or @t138 @t136))
% 0.95/1.15  (define @t140 () (forall @t40 @t139))
% 0.95/1.15  (define @t141 () (not @t140))
% 0.95/1.15  (define @t142 () (lambda (@list @t9) @t123))
% 0.95/1.15  (define @t143 () (_ (lambda @t69 @t123) @t13))
% 0.95/1.15  (define @t144 () (not @t10))
% 0.95/1.15  (define @t145 () (not @t16))
% 0.95/1.15  (define @t146 () (or @t145 @t144 @t101))
% 0.95/1.15  (define @t147 () (=> @t10 @t101))
% 0.95/1.15  (define @t148 () (=> @t18 (_ @t143 @t12)))
% 0.95/1.15  (define @t149 () (=> @t20 @t148))
% 0.95/1.15  (define @t150 () (=> @t22 @t149))
% 0.95/1.15  (define @t151 () (forall @t24 @t150))
% 0.95/1.15  (define @t152 () (@var "BOUND_VARIABLE_7566" $$unsorted))
% 0.95/1.15  (define @t153 () (_ @t9 @t152))
% 0.95/1.15  (define @t154 () (@list @t152))
% 0.95/1.15  (define @t155 () (lambda @t154 @t153))
% 0.95/1.15  (define @t156 () (tptp.dsetconstr @t13 @t155))
% 0.95/1.15  (define @t157 () (= @t81 @t156))
% 0.95/1.15  (define @t158 () (not @t157))
% 0.95/1.15  (define @t159 () (tptp.in @t2 @t156))
% 0.95/1.15  (define @t160 () (not @t159))
% 0.95/1.15  (define @t161 () (or @t160 @t158))
% 0.95/1.15  (define @t162 () (_ @t9 @t152))
% 0.95/1.15  (define @t163 () (lambda @t154 @t162))
% 0.95/1.16  (define @t164 () (_ @t67 @t163))
% 0.95/1.16  (define @t165 () (= @t81 @t164))
% 0.95/1.16  (define @t166 () (not @t165))
% 0.95/1.16  (define @t167 () (tptp.in @t2 @t164))
% 0.95/1.16  (define @t168 () (not @t167))
% 0.95/1.16  (define @t169 () (or @t168 @t166))
% 0.95/1.16  (define @t170 () (= @t81 @t68))
% 0.95/1.16  (define @t171 () (not @t170))
% 0.95/1.16  (define @t172 () (tptp.in @t2 @t68))
% 0.95/1.16  (define @t173 () (not @t172))
% 0.95/1.16  (define @t174 () (or @t173 @t171))
% 0.95/1.16  (define @t175 () (not (= @t68 @t81)))
% 0.95/1.16  (define @t176 () (or @t173 @t175))
% 0.95/1.16  (define @t177 () (forall @t40 @t176))
% 0.95/1.16  (define @t178 () (not @t177))
% 0.95/1.16  (define @t179 () (not @t108))
% 0.95/1.16  (define @t180 () (lambda @t60 (not (forall @t40 (or @t179 (not (= @t13 @t81)))))))
% 0.95/1.16  (define @t181 () (not @t62))
% 0.95/1.16  (define @t182 () (or @t109 @t181))
% 0.95/1.16  (define @t183 () (forall @t40 (not @t63)))
% 0.95/1.16  (define @t184 () (not @t183))
% 0.95/1.16  (define @t185 () (=> tptp.ex1I @t94))
% 0.95/1.16  (define @t186 () (tptp.setadjoin @t2 @t1))
% 0.95/1.16  (define @t187 () (tptp.in @t2 @t186))
% 0.95/1.16  (define @t188 () (=> tptp.setadjoinIL @t185))
% 0.95/1.16  (define @t189 () (not (= @t73 @t73)))
% 0.95/1.16  (define @t190 () (or @t82 @t76 @t75 @t189))
% 0.95/1.16  (define @t191 () (not (= @t39 @t73)))
% 0.95/1.16  (define @t192 () (tptp.setunion @t39))
% 0.95/1.16  (define @t193 () (not (tptp.in @t71 @t192)))
% 0.95/1.16  (define @t194 () (not (tptp.in @t72 @t192)))
% 0.95/1.16  (define @t195 () (tptp.in @t78 @t39))
% 0.95/1.16  (define @t196 () (lambda @t79 @t195))
% 0.95/1.16  (define @t197 () (tptp.dsetconstr @t192 @t196))
% 0.95/1.16  (define @t198 () (not (forall @t40 (or (not (tptp.in @t2 @t197)) (not (= @t81 @t197))))))
% 0.95/1.16  (define @t199 () (or @t191 @t198 @t194 @t193 @t191))
% 0.95/1.16  (define @t200 () (or @t198 @t194 @t193 @t191))
% 0.95/1.16  (define @t201 () (forall @t46 @t200))
% 0.95/1.16  (define @t202 () (forall @t84 @t201))
% 0.95/1.16  (define @t203 () (forall (@list @t72 @t71 @t39) @t200))
% 0.95/1.16  (define @t204 () (@list @t39 @t72 @t71))
% 0.95/1.16  (define @t205 () (not (= @t73 @t39)))
% 0.95/1.16  (define @t206 () (or @t198 @t194 @t193 @t205))
% 0.95/1.16  (define @t207 () (or @t194 @t193 @t205))
% 0.95/1.16  (define @t208 () (or @t207 @t198))
% 0.95/1.16  (define @t209 () (forall @t204 @t208))
% 0.95/1.16  (define @t210 () (forall @t84 @t208))
% 0.95/1.16  (define @t211 () (forall @t84 @t207))
% 0.95/1.16  (define @t212 () (@var "BOUND_VARIABLE_7488" $$unsorted))
% 0.95/1.16  (define @t213 () (or @t211 @t198))
% 0.95/1.16  (define @t214 () (tptp.setadjoin @t81 (tptp.setadjoin (tptp.setadjoin @t2 (tptp.setadjoin @t212 tptp.emptyset)) tptp.emptyset)))
% 0.95/1.16  (define @t215 () (not (tptp.in @t212 @t192)))
% 0.95/1.16  (define @t216 () (not (tptp.in @t2 @t192)))
% 0.95/1.16  (define @t217 () (@list @t2 @t212))
% 0.95/1.16  (define @t218 () (forall @t217 (or @t216 @t215 (not (= @t214 @t39)))))
% 0.95/1.16  (define @t219 () (not @t218))
% 0.95/1.16  (define @t220 () (_ (_ tptp.setadjoin @t77) tptp.emptyset))
% 0.95/1.16  (define @t221 () (_ (_ tptp.in @t220) @t39))
% 0.95/1.16  (define @t222 () (lambda @t79 @t221))
% 0.95/1.16  (define @t223 () (_ @t43 @t222))
% 0.95/1.16  (define @t224 () (= @t81 @t223))
% 0.95/1.16  (define @t225 () (not @t224))
% 0.95/1.16  (define @t226 () (tptp.in @t2 @t223))
% 0.95/1.16  (define @t227 () (not @t226))
% 0.95/1.16  (define @t228 () (or @t227 @t225))
% 0.95/1.16  (define @t229 () (= @t81 @t44))
% 0.95/1.16  (define @t230 () (not @t229))
% 0.95/1.16  (define @t231 () (tptp.in @t2 @t44))
% 0.95/1.16  (define @t232 () (not @t231))
% 0.95/1.16  (define @t233 () (or @t232 @t230))
% 0.95/1.16  (define @t234 () (not (= @t44 @t81)))
% 0.95/1.16  (define @t235 () (or @t232 @t234))
% 0.95/1.16  (define @t236 () (forall @t40 @t235))
% 0.95/1.16  (define @t237 () (not @t236))
% 0.95/1.16  (define @t238 () (_ @t180 @t44))
% 0.95/1.16  (define @t239 () (not (= @t39 @t214)))
% 0.95/1.16  (define @t240 () (or @t216 @t215 @t239))
% 0.95/1.16  (define @t241 () (forall @t217 @t240))
% 0.95/1.16  (define @t242 () (not @t241))
% 0.95/1.16  (define @t243 () (not (= @t13 @t214)))
% 0.95/1.16  (define @t244 () (tptp.setunion @t13))
% 0.95/1.16  (define @t245 () (not (tptp.in @t212 @t244)))
% 0.95/1.16  (define @t246 () (tptp.in @t2 @t244))
% 0.95/1.16  (define @t247 () (not @t246))
% 0.95/1.16  (define @t248 () (or @t247 @t245 @t243))
% 0.95/1.16  (define @t249 () (_ (lambda @t60 (not (forall @t217 @t248))) @t39))
% 0.95/1.16  (define @t250 () (=> @t249 @t238))
% 0.95/1.16  (define @t251 () (forall @t46 @t250))
% 0.95/1.16  (define @t252 () (=> tptp.setukpairinjL1 @t251))
% 0.95/1.16  (define @t253 () (=> tptp.ex1I @t252))
% 0.95/1.16  (define @t254 () (=> tptp.setadjoinIL @t253))
% 0.95/1.16  (define @t255 () (or @t245 @t243))
% 0.95/1.16  (define @t256 () (or @t247 @t255))
% 0.95/1.16  (define @t257 () (forall @t217 @t256))
% 0.95/1.16  (define @t258 () (@list @t212))
% 0.95/1.16  (define @t259 () (forall @t258 @t256))
% 0.95/1.16  (define @t260 () (forall @t258 @t255))
% 0.95/1.16  (define @t261 () (or @t247 @t260))
% 0.95/1.16  (define @t262 () (tptp.in @t1 @t244))
% 0.95/1.16  (define @t263 () (forall @t11 (or (not @t262) (not (= @t13 @t89)))))
% 0.95/1.16  (define @t264 () (not @t57))
% 0.95/1.16  (define @t265 () (or @t264 @t263))
% 0.95/1.16  (define @t266 () (not @t263))
% 0.95/1.16  (define @t267 () (and @t57 @t266))
% 0.95/1.16  (define @t268 () (forall @t40 (not @t267)))
% 0.95/1.16  (define @t269 () (not @t268))
% 0.95/1.16  (define @t270 () (not @t52))
% 0.95/1.16  (define @t271 () (not @t54))
% 0.95/1.16  (define @t272 () (or @t271 @t270))
% 0.95/1.16  (define @t273 () (forall @t11 (not @t55)))
% 0.95/1.16  (define @t274 () (not @t273))
% 0.95/1.16  (define @t275 () (@quantifiers_skolemize @t85 1))
% 0.95/1.16  (define @t276 () (@quantifiers_skolemize @t85 0))
% 0.95/1.16  (define @t277 () (tptp.setadjoin (tptp.setadjoin @t276 (tptp.setadjoin @t275 tptp.emptyset)) tptp.emptyset))
% 0.95/1.16  (define @t278 () (tptp.setadjoin @t276 tptp.emptyset))
% 0.95/1.16  (define @t279 () (tptp.setadjoin @t278 @t277))
% 0.95/1.16  (define @t280 () (tptp.in @t78 @t279))
% 0.95/1.16  (define @t281 () (lambda @t79 @t280))
% 0.95/1.16  (define @t282 () (@purify @t281))
% 0.95/1.16  (define @t283 () (_ @t282 @t77))
% 0.95/1.16  (define @t284 () (_ @t281 @t77))
% 0.95/1.16  (define @t285 () (= @t283 @t284))
% 0.95/1.16  (define @t286 () (forall @t79 @t285))
% 0.95/1.16  (define @t287 () (not (_ @t282 @t1)))
% 0.95/1.16  (define @t288 () (tptp.setunion @t279))
% 0.95/1.16  (define @t289 () (not (tptp.in @t1 @t288)))
% 0.95/1.16  (define @t290 () (forall @t11 (or @t289 @t287 (= @t1 @t276))))
% 0.95/1.16  (define @t291 () (@quantifiers_skolemize @t290 0))
% 0.95/1.16  (define @t292 () (tptp.in (tptp.setadjoin @t291 tptp.emptyset) @t279))
% 0.95/1.16  (define @t293 () (_ @t282 @t291))
% 0.95/1.16  (define @t294 () (forall @t79 (= @t280 @t283)))
% 0.95/1.16  (define @t295 () (= @t292 @t293))
% 0.95/1.16  (define @t296 () (= @t293 @t292))
% 0.95/1.16  (define @t297 () (@list false))
% 0.95/1.16  (define @t298 () (tptp.dsetconstr @t288 @t282))
% 0.95/1.16  (define @t299 () (not (= @t298 @t96)))
% 0.95/1.16  (define @t300 () (not (tptp.in @t95 @t298)))
% 0.95/1.16  (define @t301 () (or @t300 @t299))
% 0.95/1.16  (define @t302 () (forall @t99 @t301))
% 0.95/1.16  (define @t303 () (not @t302))
% 0.95/1.16  (define @t304 () (or @t289 @t287 (= @t276 @t1)))
% 0.95/1.16  (define @t305 () (forall @t11 @t304))
% 0.95/1.16  (define @t306 () (not @t305))
% 0.95/1.16  (define @t307 () (_ @t282 @t276))
% 0.95/1.16  (define @t308 () (not @t307))
% 0.95/1.16  (define @t309 () (tptp.in @t276 @t288))
% 0.95/1.16  (define @t310 () (not @t309))
% 0.95/1.16  (define @t311 () (or @t310 @t308 @t306 @t303))
% 0.95/1.16  (define @t312 () (forall @t24 (or @t179 (not @t106) @t105 @t100)))
% 0.95/1.16  (define @t313 () (forall @t99 (or @t300 (not (= @t96 @t298)))))
% 0.95/1.16  (define @t314 () (not @t313))
% 0.95/1.16  (define @t315 () (not @t290))
% 0.95/1.16  (define @t316 () (or @t310 @t308 @t315 @t314))
% 0.95/1.16  (define @t317 () (tptp.dsetconstr @t288 @t281))
% 0.95/1.16  (define @t318 () (forall @t40 (or (not (tptp.in @t2 @t317)) (not (= @t81 @t317)))))
% 0.95/1.16  (define @t319 () (not @t318))
% 0.95/1.16  (define @t320 () (or @t319 @t310 (not (tptp.in @t275 @t288))))
% 0.95/1.16  (define @t321 () (@list true))
% 0.95/1.16  (define @t322 () (@list @t320))
% 0.95/1.16  (define @t323 () (@quantifiers_skolemize @t313 0))
% 0.95/1.16  (define @t324 () (tptp.setadjoin @t323 tptp.emptyset))
% 0.95/1.16  (define @t325 () (= @t317 @t324))
% 0.95/1.16  (define @t326 () (not @t325))
% 0.95/1.16  (define @t327 () (tptp.in @t323 @t317))
% 0.95/1.16  (define @t328 () (not @t327))
% 0.95/1.16  (define @t329 () (or @t328 @t326))
% 0.95/1.16  (define @t330 () (not (= @t324 @t317)))
% 0.95/1.16  (define @t331 () (or @t328 @t330))
% 0.95/1.16  (define @t332 () (not (tptp.in @t323 @t298)))
% 0.95/1.16  (define @t333 () (or @t332 (not (= @t298 @t324))))
% 0.95/1.16  (define @t334 () (not @t333))
% 0.95/1.16  (define @t335 () (not (= @t324 @t298)))
% 0.95/1.16  (define @t336 () (or @t332 @t335))
% 0.95/1.16  (define @t337 () (not @t336))
% 0.95/1.16  (define @t338 () (tptp.in @t278 @t279))
% 0.95/1.16  (define @t339 () (= @t338 @t307))
% 0.95/1.16  (define @t340 () (@list false false))
% 0.95/1.16  (define @t341 () (= @t276 @t291))
% 0.95/1.16  (define @t342 () (not @t293))
% 0.95/1.16  (define @t343 () (not (tptp.in @t291 @t288)))
% 0.95/1.16  (define @t344 () (or @t343 @t342 @t341))
% 0.95/1.16  (define @t345 () (not @t344))
% 0.95/1.16  (define @t346 () (or @t343 @t342 (= @t291 @t276)))
% 0.95/1.16  (define @t347 () (not @t346))
% 0.95/1.16  (define @t348 () (@list @t344))
% 0.95/1.16  (define @t349 () (not @t292))
% 0.95/1.16  (define @t350 () (or @t349 @t341))
% 0.95/1.16  (define @t351 () (not @t350))
% 0.95/1.16  (define @t352 () (@list true false))
% 0.95/1.16  (define @t353 () (forall @t36 (or (not @t91) @t28)))
% 0.95/1.16  (assume @p1 @t8)
% 0.95/1.16  (assume @p2 @t26)
% 0.95/1.16  (assume @p3 @t38)
% 0.95/1.16  (assume @p4 @t51)
% 0.95/1.16  (assume @p5 true)
% 0.95/1.16  (step @p6 (= tptp.iskpair @t61) :rule refl :args (@t61))
% 0.95/1.16  (step @p7 (= tptp.singleton @t65) :rule refl :args (@t65))
% 0.95/1.16  (step @p8 (= tptp.ex1 @t70) :rule refl :args (@t70))
% 0.95/1.16  (step @p9 :rule refl :args (@t85))
% 0.95/1.16  (step @p10 :rule refl :args (@t28))
% 0.95/1.16  (step @p11 :rule refl :args ((tptp.in @t34 @t33)))
% 0.95/1.16  (step @p12 :rule refl :args ((tptp.setadjoin @t32 @t31)))
% 0.95/1.16  (step @p13 :rule refl :args ((tptp.setadjoin @t30 tptp.emptyset)))
% 0.95/1.16  (step @p14 :rule refl :args (tptp.emptyset))
% 0.95/1.16  (step @p15 :rule refl :args ((tptp.setadjoin @t2 @t29)))
% 0.95/1.16  (step @p16 :rule refl :args (@t86))
% 0.95/1.16  (step @p17 :rule refl :args (@t2))
% 0.95/1.16  (step @p18 :rule cong :premises (@p17 @p16) :args (@t87))
% 0.95/1.16  (step @p19 :rule trans :premises (@p18 @p15))
% 0.95/1.16  (step @p20 :rule cong :premises (@p19 @p14) :args (@t88))
% 0.95/1.16  (step @p21 :rule trans :premises (@p20 @p13))
% 0.95/1.16  (step @p22 :rule refl :args (@t81))
% 0.95/1.16  (step @p23 :rule cong :premises (@p22 @p21) :args (@t89))
% 0.95/1.16  (step @p24 :rule trans :premises (@p23 @p12))
% 0.95/1.16  (step @p25 :rule refl :args (@t90))
% 0.95/1.16  (step @p26 :rule cong :premises (@p25 @p24) :args (@t91))
% 0.95/1.16  (step @p27 :rule trans :premises (@p26 @p11))
% 0.95/1.16  (step @p28 :rule refl :args (tptp.in))
% 0.95/1.16  (step @p29 :rule ho_cong :premises (@p28 @p25))
% 0.95/1.16  (step @p30 :rule ho_cong :premises (@p29 @p24))
% 0.95/1.16  (step @p31 :rule cong :premises (@p30 @p27) :args ((= (_ (_ tptp.in @t90) @t89) @t91)))
% 0.95/1.16  (step @p32 :rule symm :premises (@p31))
% 0.95/1.16  (step @p33 :rule refl :args (@t35))
% 0.95/1.16  (step @p34 :rule eq_resolve :premises (@p33 @p32))
% 0.95/1.16  (step @p35 :rule refl :args (tptp.setadjoin))
% 0.95/1.16  (step @p36 :rule ho_cong :premises (@p35 @p22))
% 0.95/1.16  (step @p37 :rule ho_cong :premises (@p36 @p21))
% 0.95/1.16  (step @p38 :rule cong :premises (@p37 @p24) :args ((= (_ (_ tptp.setadjoin @t81) @t88) @t89)))
% 0.95/1.16  (step @p39 :rule symm :premises (@p38))
% 0.95/1.16  (step @p40 :rule refl :args (@t33))
% 0.95/1.16  (step @p41 :rule eq_resolve :premises (@p40 @p39))
% 0.95/1.16  (step @p42 :rule ho_cong :premises (@p35 @p19))
% 0.95/1.16  (step @p43 :rule ho_cong :premises (@p42 @p14))
% 0.95/1.16  (step @p44 :rule cong :premises (@p43 @p21) :args ((= (_ (_ tptp.setadjoin @t87) tptp.emptyset) @t88)))
% 0.95/1.16  (step @p45 :rule symm :premises (@p44))
% 0.95/1.16  (step @p46 :rule refl :args (@t31))
% 0.95/1.16  (step @p47 :rule eq_resolve :premises (@p46 @p45))
% 0.95/1.16  (step @p48 :rule refl :args (@t3))
% 0.95/1.16  (step @p49 :rule ho_cong :premises (@p48 @p16))
% 0.95/1.16  (step @p50 :rule cong :premises (@p49 @p19) :args ((= (_ @t3 @t86) @t87)))
% 0.95/1.16  (step @p51 :rule symm :premises (@p50))
% 0.95/1.16  (step @p52 :rule refl :args (@t30))
% 0.95/1.16  (step @p53 :rule eq_resolve :premises (@p52 @p51))
% 0.95/1.16  (step @p54 :rule refl :args (@t29))
% 0.95/1.16  (step @p55 :rule cong :premises (@p54 @p16) :args ((= @t29 @t86)))
% 0.95/1.16  (step @p56 :rule symm :premises (@p55))
% 0.95/1.16  (step @p57 :rule eq_resolve :premises (@p54 @p56))
% 0.95/1.16  (step @p58 :rule ho_cong :premises (@p48 @p57))
% 0.95/1.16  (step @p59 :rule trans :premises (@p58 @p53))
% 0.95/1.16  (step @p60 :rule ho_cong :premises (@p35 @p59))
% 0.95/1.16  (step @p61 :rule ho_cong :premises (@p60 @p14))
% 0.95/1.16  (step @p62 :rule trans :premises (@p61 @p47))
% 0.95/1.16  (step @p63 :rule refl :args (@t32))
% 0.95/1.16  (step @p64 :rule cong :premises (@p63 @p22) :args ((= @t32 @t81)))
% 0.95/1.16  (step @p65 :rule symm :premises (@p64))
% 0.95/1.16  (step @p66 :rule eq_resolve :premises (@p63 @p65))
% 0.95/1.16  (step @p67 :rule ho_cong :premises (@p35 @p66))
% 0.95/1.16  (step @p68 :rule ho_cong :premises (@p67 @p62))
% 0.95/1.16  (step @p69 :rule trans :premises (@p68 @p41))
% 0.95/1.16  (step @p70 :rule refl :args (@t34))
% 0.95/1.16  (step @p71 :rule cong :premises (@p70 @p25) :args ((= @t34 @t90)))
% 0.95/1.16  (step @p72 :rule symm :premises (@p71))
% 0.95/1.16  (step @p73 :rule eq_resolve :premises (@p70 @p72))
% 0.95/1.16  (step @p74 :rule ho_cong :premises (@p28 @p73))
% 0.95/1.16  (step @p75 :rule ho_cong :premises (@p74 @p69))
% 0.95/1.16  (step @p76 :rule trans :premises (@p75 @p34))
% 0.95/1.16  (step @p77 :rule cong :premises (@p76) :args (@t92))
% 0.95/1.16  (step @p78 :rule nary_cong :premises (@p77 @p10) :args (@t93))
% 0.95/1.16  (step @p79 :rule cong :premises (@p78) :args ((forall @t36 @t93)))
% 0.95/1.16  (step @p80 :rule bool-impl-elim :args (@t35 @t28))
% 0.95/1.16  (step @p81 :rule cong :premises (@p80) :args (@t37))
% 0.95/1.16  (step @p82 :rule trans :premises (@p81 @p79))
% 0.95/1.16  (step @p83 :rule refl :args (tptp.setukpairinjL1))
% 0.95/1.16  (step @p84 :rule cong :premises (@p83 @p82) :args (@t38))
% 0.95/1.16  (step @p85 :rule eq_resolve :premises (@p3 @p84))
% 0.95/1.16  (step @p86 :rule cong :premises (@p85 @p9) :args (@t94))
% 0.95/1.16  (step @p87 :rule refl :args (@t100))
% 0.95/1.16  (step @p88 :rule refl :args (@t105))
% 0.95/1.16  (step @p89 :rule refl :args (@t106))
% 0.95/1.16  (step @p90 :rule refl :args (@t20))
% 0.95/1.16  (step @p91 :rule cong :premises (@p90 @p89) :args ((= @t20 @t106)))
% 0.95/1.16  (step @p92 :rule symm :premises (@p91))
% 0.95/1.16  (step @p93 :rule eq_resolve :premises (@p90 @p92))
% 0.95/1.16  (step @p94 :rule cong :premises (@p93) :args (@t107))
% 0.95/1.16  (step @p95 :rule refl :args (@t108))
% 0.95/1.16  (step @p96 :rule refl :args (@t22))
% 0.95/1.16  (step @p97 :rule cong :premises (@p96 @p95) :args ((= @t22 @t108)))
% 0.95/1.16  (step @p98 :rule symm :premises (@p97))
% 0.95/1.16  (step @p99 :rule eq_resolve :premises (@p96 @p98))
% 0.95/1.16  (step @p100 :rule cong :premises (@p99) :args (@t109))
% 0.95/1.16  (step @p101 :rule nary_cong :premises (@p100 @p94 @p88 @p87) :args (@t110))
% 0.95/1.16  (step @p102 :rule cong :premises (@p101) :args ((forall @t24 @t110)))
% 0.95/1.16  (step @p103 :rule aci_norm :args ((= (or @t109 @t111) @t110)))
% 0.95/1.16  (step @p104 :rule aci_norm :args ((= (or @t107 (or @t105 @t100)) @t111)))
% 0.95/1.16  (step @p105 :rule bool-impl-elim :args (@t104 @t100))
% 0.95/1.16  (step @p106 :rule refl :args (@t107))
% 0.95/1.16  (step @p107 :rule nary_cong :premises (@p106 @p105) :args ((or @t107 @t112)))
% 0.95/1.16  (step @p108 :rule trans :premises (@p107 @p104))
% 0.95/1.16  (step @p109 :rule bool-impl-elim :args (@t20 @t112))
% 0.95/1.16  (step @p110 :rule trans :premises (@p109 @p108))
% 0.95/1.16  (step @p111 :rule refl :args (@t109))
% 0.95/1.16  (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or @t109 @t113)))
% 0.95/1.16  (step @p113 :rule trans :premises (@p112 @p103))
% 0.95/1.16  (step @p114 :rule bool-impl-elim :args (@t22 @t113))
% 0.95/1.16  (step @p115 :rule trans :premises (@p114 @p113))
% 0.95/1.16  (step @p116 :rule cong :premises (@p115) :args ((forall @t24 (=> @t22 @t113))))
% 0.95/1.16  (step @p117 :rule trans :premises (@p116 @p102))
% 0.95/1.16  (step @p118 :rule eq-symm :args (@t96 @t97))
% 0.95/1.16  (step @p119 :rule cong :premises (@p118) :args (@t114))
% 0.95/1.16  (step @p120 :rule refl :args (@t98))
% 0.95/1.16  (step @p121 :rule nary_cong :premises (@p120 @p119) :args (@t115))
% 0.95/1.16  (step @p122 :rule cong :premises (@p121) :args (@t116))
% 0.95/1.16  (step @p123 :rule cong :premises (@p122) :args (@t117))
% 0.95/1.16  (step @p124 :rule refl :args (@t104))
% 0.95/1.16  (step @p125 :rule cong :premises (@p124 @p123) :args (@t118))
% 0.95/1.16  (step @p126 :rule refl :args (@t20))
% 0.95/1.16  (step @p127 :rule cong :premises (@p126 @p125) :args (@t119))
% 0.95/1.16  (step @p128 :rule refl :args (@t22))
% 0.95/1.16  (step @p129 :rule cong :premises (@p128 @p127) :args (@t120))
% 0.95/1.16  (step @p130 :rule cong :premises (@p129) :args ((forall @t24 @t120)))
% 0.95/1.16  (step @p131 :rule trans :premises (@p130 @p117))
% 0.95/1.16  (step @p132 :rule alpha_equiv :args (@t121 @t122 (@list @t95)))
% 0.95/1.16  (step @p133 :rule cong :premises (@p132) :args (@t123))
% 0.95/1.16  (step @p134 :rule refl :args (@t104))
% 0.95/1.16  (step @p135 :rule cong :premises (@p134 @p133) :args (@t124))
% 0.95/1.16  (step @p136 :rule cong :premises (@p90 @p135) :args (@t125))
% 0.95/1.16  (step @p137 :rule cong :premises (@p96 @p136) :args (@t126))
% 0.95/1.16  (step @p138 :rule cong :premises (@p137) :args ((forall @t24 @t126)))
% 0.95/1.16  (step @p139 :rule trans :premises (@p138 @p131))
% 0.95/1.16  (step @p140 :rule lambda-elim :args ((= @t127 @t9)))
% 0.95/1.16  (step @p141 :rule refl :args (@t13))
% 0.95/1.16  (step @p142 :rule cong :premises (@p141 @p140) :args (@t128))
% 0.95/1.16  (step @p143 :rule refl :args (@t81))
% 0.95/1.16  (step @p144 :rule cong :premises (@p143 @p142) :args (@t129))
% 0.95/1.16  (step @p145 :rule cong :premises (@p144) :args (@t130))
% 0.95/1.16  (step @p146 :rule refl :args (@t2))
% 0.95/1.16  (step @p147 :rule cong :premises (@p146 @p142) :args (@t131))
% 0.95/1.16  (step @p148 :rule cong :premises (@p147) :args (@t132))
% 0.95/1.16  (step @p149 :rule nary_cong :premises (@p148 @p145) :args (@t133))
% 0.95/1.16  (step @p150 :rule cong :premises (@p149) :args ((forall @t40 @t133)))
% 0.95/1.16  (step @p151 :rule refl :args (@t102))
% 0.95/1.16  (step @p152 :rule refl :args (@t10))
% 0.95/1.16  (step @p153 :rule cong :premises (@p152 @p151) :args ((= @t10 @t102)))
% 0.95/1.16  (step @p154 :rule symm :premises (@p153))
% 0.95/1.16  (step @p155 :rule eq_resolve :premises (@p152 @p154))
% 0.95/1.16  (step @p156 :rule cong :premises (@p155) :args (@t12))
% 0.95/1.16  (step @p157 :rule refl :args (@t13))
% 0.95/1.16  (step @p158 :rule cong :premises (@p157 @p156) :args (@t134))
% 0.95/1.16  (step @p159 :rule refl :args (@t81))
% 0.95/1.16  (step @p160 :rule cong :premises (@p159 @p158) :args (@t135))
% 0.95/1.16  (step @p161 :rule cong :premises (@p160) :args (@t136))
% 0.95/1.16  (step @p162 :rule cong :premises (@p17 @p158) :args (@t137))
% 0.95/1.16  (step @p163 :rule cong :premises (@p162) :args (@t138))
% 0.95/1.16  (step @p164 :rule nary_cong :premises (@p163 @p161) :args (@t139))
% 0.95/1.16  (step @p165 :rule cong :premises (@p164) :args (@t140))
% 0.95/1.16  (step @p166 :rule trans :premises (@p165 @p150))
% 0.95/1.16  (step @p167 :rule cong :premises (@p166) :args (@t141))
% 0.95/1.16  (step @p168 :rule beta-reduce :args ((= (_ @t142 @t12) @t141)))
% 0.95/1.16  (step @p169 :rule trans :premises (@p168 @p167))
% 0.95/1.16  (step @p170 :rule refl :args (@t12))
% 0.95/1.16  (step @p171 :rule beta-reduce :args ((= @t143 @t142)))
% 0.95/1.16  (step @p172 :rule ho_cong :premises (@p171 @p170))
% 0.95/1.16  (step @p173 :rule trans :premises (@p172 @p169))
% 0.95/1.16  (step @p174 :rule refl :args (@t101))
% 0.95/1.16  (step @p175 :rule cong :premises (@p155) :args (@t144))
% 0.95/1.16  (step @p176 :rule refl :args (@t103))
% 0.95/1.16  (step @p177 :rule refl :args (@t16))
% 0.95/1.16  (step @p178 :rule cong :premises (@p177 @p176) :args ((= @t16 @t103)))
% 0.95/1.16  (step @p179 :rule symm :premises (@p178))
% 0.95/1.16  (step @p180 :rule eq_resolve :premises (@p177 @p179))
% 0.95/1.16  (step @p181 :rule cong :premises (@p180) :args (@t145))
% 0.95/1.16  (step @p182 :rule nary_cong :premises (@p181 @p175 @p174) :args (@t146))
% 0.95/1.16  (step @p183 :rule cong :premises (@p182) :args ((forall @t11 @t146)))
% 0.95/1.16  (step @p184 :rule aci_norm :args ((= (or @t145 (or @t144 @t101)) @t146)))
% 0.95/1.16  (step @p185 :rule bool-impl-elim :args (@t10 @t101))
% 0.95/1.16  (step @p186 :rule refl :args (@t145))
% 0.95/1.16  (step @p187 :rule nary_cong :premises (@p186 @p185) :args ((or @t145 @t147)))
% 0.95/1.16  (step @p188 :rule trans :premises (@p187 @p184))
% 0.95/1.16  (step @p189 :rule bool-impl-elim :args (@t16 @t147))
% 0.95/1.16  (step @p190 :rule trans :premises (@p189 @p188))
% 0.95/1.16  (step @p191 :rule cong :premises (@p190) :args ((forall @t11 (=> @t16 @t147))))
% 0.95/1.16  (step @p192 :rule trans :premises (@p191 @p183))
% 0.95/1.16  (step @p193 :rule eq-symm :args (@t1 @t2))
% 0.95/1.16  (step @p194 :rule refl :args (@t10))
% 0.95/1.16  (step @p195 :rule cong :premises (@p194 @p193) :args (@t14))
% 0.95/1.16  (step @p196 :rule refl :args (@t16))
% 0.95/1.16  (step @p197 :rule cong :premises (@p196 @p195) :args (@t17))
% 0.95/1.16  (step @p198 :rule cong :premises (@p197) :args (@t18))
% 0.95/1.16  (step @p199 :rule trans :premises (@p198 @p192))
% 0.95/1.16  (step @p200 :rule cong :premises (@p199 @p173) :args (@t148))
% 0.95/1.16  (step @p201 :rule cong :premises (@p126 @p200) :args (@t149))
% 0.95/1.16  (step @p202 :rule cong :premises (@p128 @p201) :args (@t150))
% 0.95/1.16  (step @p203 :rule cong :premises (@p202) :args (@t151))
% 0.95/1.16  (step @p204 :rule trans :premises (@p203 @p139))
% 0.95/1.16  (step @p205 :rule refl :args (tptp.ex1I))
% 0.95/1.16  (step @p206 :rule cong :premises (@p205 @p204) :args ((= tptp.ex1I @t151)))
% 0.95/1.16  (step @p207 :rule lambda-elim :args ((= @t155 @t9)))
% 0.95/1.16  (step @p208 :rule cong :premises (@p141 @p207) :args (@t156))
% 0.95/1.16  (step @p209 :rule cong :premises (@p143 @p208) :args (@t157))
% 0.95/1.16  (step @p210 :rule cong :premises (@p209) :args (@t158))
% 0.95/1.16  (step @p211 :rule cong :premises (@p146 @p208) :args (@t159))
% 0.95/1.16  (step @p212 :rule cong :premises (@p211) :args (@t160))
% 0.95/1.16  (step @p213 :rule nary_cong :premises (@p212 @p210) :args (@t161))
% 0.95/1.16  (step @p214 :rule cong :premises (@p213) :args ((forall @t40 @t161)))
% 0.95/1.16  (step @p215 :rule refl :args ((tptp.dsetconstr @t13 @t163)))
% 0.95/1.16  (step @p216 :rule refl :args (@t153))
% 0.95/1.16  (step @p217 :rule cong :premises (@p216) :args (@t155))
% 0.95/1.16  (step @p218 :rule cong :premises (@p157 @p217) :args (@t156))
% 0.95/1.16  (step @p219 :rule trans :premises (@p218 @p215))
% 0.95/1.16  (step @p220 :rule refl :args (@t67))
% 0.95/1.16  (step @p221 :rule ho_cong :premises (@p220 @p217))
% 0.95/1.16  (step @p222 :rule cong :premises (@p221 @p219) :args ((= (_ @t67 @t155) @t156)))
% 0.95/1.16  (step @p223 :rule symm :premises (@p222))
% 0.95/1.16  (step @p224 :rule refl :args (@t164))
% 0.95/1.16  (step @p225 :rule eq_resolve :premises (@p224 @p223))
% 0.95/1.16  (step @p226 :rule refl :args (@t162))
% 0.95/1.16  (step @p227 :rule cong :premises (@p226 @p216) :args ((= @t162 @t153)))
% 0.95/1.16  (step @p228 :rule symm :premises (@p227))
% 0.95/1.16  (step @p229 :rule eq_resolve :premises (@p226 @p228))
% 0.95/1.16  (step @p230 :rule cong :premises (@p229) :args (@t163))
% 0.95/1.16  (step @p231 :rule ho_cong :premises (@p220 @p230))
% 0.95/1.16  (step @p232 :rule trans :premises (@p231 @p225))
% 0.95/1.16  (step @p233 :rule cong :premises (@p159 @p232) :args (@t165))
% 0.95/1.16  (step @p234 :rule cong :premises (@p233) :args (@t166))
% 0.95/1.16  (step @p235 :rule cong :premises (@p17 @p232) :args (@t167))
% 0.95/1.16  (step @p236 :rule cong :premises (@p235) :args (@t168))
% 0.95/1.16  (step @p237 :rule nary_cong :premises (@p236 @p234) :args (@t169))
% 0.95/1.16  (step @p238 :rule cong :premises (@p237) :args ((forall @t40 @t169)))
% 0.95/1.16  (step @p239 :rule trans :premises (@p238 @p214))
% 0.95/1.16  (step @p240 :rule alpha_equiv :args (@t66 @t122 (@list @t152)))
% 0.95/1.16  (step @p241 :rule ho_cong :premises (@p220 @p240))
% 0.95/1.16  (step @p242 :rule cong :premises (@p159 @p241) :args (@t170))
% 0.95/1.16  (step @p243 :rule cong :premises (@p242) :args (@t171))
% 0.95/1.16  (step @p244 :rule cong :premises (@p17 @p241) :args (@t172))
% 0.95/1.16  (step @p245 :rule cong :premises (@p244) :args (@t173))
% 0.95/1.16  (step @p246 :rule nary_cong :premises (@p245 @p243) :args (@t174))
% 0.95/1.16  (step @p247 :rule cong :premises (@p246) :args ((forall @t40 @t174)))
% 0.95/1.16  (step @p248 :rule trans :premises (@p247 @p239))
% 0.95/1.16  (step @p249 :rule eq-symm :args (@t68 @t81))
% 0.95/1.16  (step @p250 :rule cong :premises (@p249) :args (@t175))
% 0.95/1.16  (step @p251 :rule refl :args (@t173))
% 0.95/1.16  (step @p252 :rule nary_cong :premises (@p251 @p250) :args (@t176))
% 0.95/1.16  (step @p253 :rule cong :premises (@p252) :args (@t177))
% 0.95/1.16  (step @p254 :rule trans :premises (@p253 @p248))
% 0.95/1.16  (step @p255 :rule cong :premises (@p254) :args (@t178))
% 0.95/1.16  (step @p256 :rule beta-reduce :args ((= (_ @t180 @t68) @t178)))
% 0.95/1.16  (step @p257 :rule trans :premises (@p256 @p255))
% 0.95/1.16  (step @p258 :rule refl :args (@t68))
% 0.95/1.16  (step @p259 :rule cong :premises (@p157 @p66) :args (@t62))
% 0.95/1.16  (step @p260 :rule cong :premises (@p259) :args (@t181))
% 0.95/1.16  (step @p261 :rule nary_cong :premises (@p100 @p260) :args (@t182))
% 0.95/1.16  (step @p262 :rule cong :premises (@p261) :args ((forall @t40 @t182)))
% 0.95/1.16  (step @p263 :rule bool-and-de-morgan :args (@t22 @t62 true))
% 0.95/1.16  (step @p264 :rule cong :premises (@p263) :args (@t183))
% 0.95/1.16  (step @p265 :rule trans :premises (@p264 @p262))
% 0.95/1.16  (step @p266 :rule cong :premises (@p265) :args (@t184))
% 0.95/1.16  (step @p267 :rule exists-elim :args ((= @t64 @t184)))
% 0.95/1.16  (step @p268 :rule trans :premises (@p267 @p266))
% 0.95/1.16  (step @p269 :rule cong :premises (@p268) :args (@t65))
% 0.95/1.16  (step @p270 :rule trans :premises (@p7 @p269))
% 0.95/1.16  (step @p271 :rule ho_cong :premises (@p270 @p258))
% 0.95/1.16  (step @p272 :rule trans :premises (@p271 @p257))
% 0.95/1.16  (step @p273 :rule cong :premises (@p272) :args (@t70))
% 0.95/1.16  (step @p274 :rule trans :premises (@p8 @p273))
% 0.95/1.16  (step @p275 :rule ho_cong :premises (@p274 @p141))
% 0.95/1.16  (step @p276 :rule ho_cong :premises (@p275 @p170))
% 0.95/1.16  (step @p277 :rule refl :args (@t18))
% 0.95/1.16  (step @p278 :rule cong :premises (@p277 @p276) :args (@t19))
% 0.95/1.16  (step @p279 :rule cong :premises (@p126 @p278) :args (@t21))
% 0.95/1.16  (step @p280 :rule cong :premises (@p128 @p279) :args (@t23))
% 0.95/1.16  (step @p281 :rule cong :premises (@p280) :args (@t25))
% 0.95/1.16  (step @p282 :rule cong :premises (@p205 @p281) :args (@t26))
% 0.95/1.16  (step @p283 :rule trans :premises (@p282 @p206))
% 0.95/1.16  (step @p284 :rule eq_resolve :premises (@p2 @p283))
% 0.95/1.16  (step @p285 :rule cong :premises (@p284 @p86) :args (@t185))
% 0.95/1.16  (step @p286 :rule refl :args ((tptp.in @t2 @t4)))
% 0.95/1.16  (step @p287 :rule refl :args (@t186))
% 0.95/1.16  (step @p288 :rule cong :premises (@p17 @p287) :args (@t187))
% 0.95/1.16  (step @p289 :rule trans :premises (@p288 @p286))
% 0.95/1.16  (step @p290 :rule refl :args (@t5))
% 0.95/1.16  (step @p291 :rule ho_cong :premises (@p290 @p287))
% 0.95/1.16  (step @p292 :rule cong :premises (@p291 @p289) :args ((= (_ @t5 @t186) @t187)))
% 0.95/1.16  (step @p293 :rule symm :premises (@p292))
% 0.95/1.16  (step @p294 :rule refl :args (@t6))
% 0.95/1.16  (step @p295 :rule eq_resolve :premises (@p294 @p293))
% 0.95/1.16  (step @p296 :rule refl :args (@t4))
% 0.95/1.16  (step @p297 :rule cong :premises (@p296 @p287) :args ((= @t4 @t186)))
% 0.95/1.16  (step @p298 :rule symm :premises (@p297))
% 0.95/1.16  (step @p299 :rule eq_resolve :premises (@p296 @p298))
% 0.95/1.16  (step @p300 :rule ho_cong :premises (@p290 @p299))
% 0.95/1.16  (step @p301 :rule trans :premises (@p300 @p295))
% 0.95/1.16  (step @p302 :rule cong :premises (@p301) :args (@t7))
% 0.95/1.16  (step @p303 :rule refl :args (tptp.setadjoinIL))
% 0.95/1.16  (step @p304 :rule cong :premises (@p303 @p302) :args (@t8))
% 0.95/1.16  (step @p305 :rule eq_resolve :premises (@p1 @p304))
% 0.95/1.16  (step @p306 :rule cong :premises (@p305 @p285) :args (@t188))
% 0.95/1.16  (step @p307 :rule cong :premises (@p306) :args ((not @t188)))
% 0.95/1.16  (step @p308 :rule aci_norm :args ((= (or @t82 @t76 @t75 false) @t83)))
% 0.95/1.16  (step @p309 :rule evaluate :args ((not true)))
% 0.95/1.16  (step @p310 :rule eq-refl :args (@t73))
% 0.95/1.16  (step @p311 :rule cong :premises (@p310) :args (@t189))
% 0.95/1.16  (step @p312 :rule trans :premises (@p311 @p309))
% 0.95/1.16  (step @p313 :rule refl :args (@t75))
% 0.95/1.16  (step @p314 :rule refl :args (@t76))
% 0.95/1.16  (step @p315 :rule refl :args (@t82))
% 0.95/1.16  (step @p316 :rule nary_cong :premises (@p315 @p314 @p313 @p312) :args (@t190))
% 0.95/1.16  (step @p317 :rule trans :premises (@p316 @p308))
% 0.95/1.16  (step @p318 :rule cong :premises (@p317) :args ((forall @t84 @t190)))
% 0.95/1.16  (step @p319 :rule quant-var-elim-eq :args ((= (forall @t46 @t199) @t190)))
% 0.95/1.16  (step @p320 :rule aci_norm :args ((= @t200 @t199)))
% 0.95/1.16  (step @p321 :rule cong :premises (@p320) :args (@t201))
% 0.95/1.16  (step @p322 :rule trans :premises (@p321 @p319))
% 0.95/1.16  (step @p323 :rule cong :premises (@p322) :args (@t202))
% 0.95/1.16  (step @p324 :rule quant-merge-prenex :args ((= @t202 @t203)))
% 0.95/1.16  (step @p325 :rule symm :premises (@p324))
% 0.95/1.16  (step @p326 :rule quant_var_reordering :args ((= (forall @t204 @t200) @t203)))
% 0.95/1.16  (step @p327 :rule trans :premises (@p326 @p325 @p323))
% 0.95/1.16  (step @p328 :rule trans :premises (@p327 @p318))
% 0.95/1.16  (step @p329 :rule eq-symm :args (@t73 @t39))
% 0.95/1.16  (step @p330 :rule cong :premises (@p329) :args (@t205))
% 0.95/1.16  (step @p331 :rule refl :args (@t193))
% 0.95/1.16  (step @p332 :rule refl :args (@t194))
% 0.95/1.16  (step @p333 :rule refl :args (@t198))
% 0.95/1.16  (step @p334 :rule nary_cong :premises (@p333 @p332 @p331 @p330) :args (@t206))
% 0.95/1.16  (step @p335 :rule aci_norm :args ((= @t208 @t206)))
% 0.95/1.16  (step @p336 :rule trans :premises (@p335 @p334))
% 0.95/1.16  (step @p337 :rule cong :premises (@p336) :args (@t209))
% 0.95/1.16  (step @p338 :rule trans :premises (@p337 @p328))
% 0.95/1.16  (step @p339 :rule quant-merge-prenex :args ((= (forall @t46 @t210) @t209)))
% 0.95/1.16  (step @p340 :rule refl :args (@t198))
% 0.95/1.16  (step @p341 :rule alpha_equiv :args (@t211 (@list @t72 @t71) (@list @t2 @t212)))
% 0.95/1.16  (step @p342 :rule nary_cong :premises (@p341 @p340) :args (@t213))
% 0.95/1.16  (step @p343 :rule quant-miniscope-or :args ((= @t210 @t213)))
% 0.95/1.16  (step @p344 :rule trans :premises (@p343 @p342))
% 0.95/1.16  (step @p345 :rule symm :premises (@p344))
% 0.95/1.16  (step @p346 :rule cong :premises (@p345) :args ((forall @t46 (or @t218 @t198))))
% 0.95/1.16  (step @p347 :rule trans :premises (@p346 @p339))
% 0.95/1.16  (step @p348 :rule trans :premises (@p347 @p338))
% 0.95/1.16  (step @p349 :rule bool-double-not-elim :args (@t218))
% 0.95/1.16  (step @p350 :rule nary_cong :premises (@p349 @p340) :args ((or (not @t219) @t198)))
% 0.95/1.16  (step @p351 :rule bool-impl-elim :args (@t219 @t198))
% 0.95/1.16  (step @p352 :rule trans :premises (@p351 @p350))
% 0.95/1.16  (step @p353 :rule cong :premises (@p352) :args ((forall @t46 (=> @t219 @t198))))
% 0.95/1.16  (step @p354 :rule trans :premises (@p353 @p348))
% 0.95/1.16  (step @p355 :rule refl :args ((tptp.dsetconstr @t42 @t222)))
% 0.95/1.16  (step @p356 :rule refl :args ((tptp.in @t220 @t39)))
% 0.95/1.16  (step @p357 :rule refl :args (@t39))
% 0.95/1.16  (step @p358 :rule refl :args (@t78))
% 0.95/1.16  (step @p359 :rule cong :premises (@p358 @p357) :args (@t195))
% 0.95/1.16  (step @p360 :rule trans :premises (@p359 @p356))
% 0.95/1.16  (step @p361 :rule cong :premises (@p360) :args (@t196))
% 0.95/1.16  (step @p362 :rule refl :args (@t192))
% 0.95/1.16  (step @p363 :rule cong :premises (@p362 @p361) :args (@t197))
% 0.95/1.16  (step @p364 :rule trans :premises (@p363 @p355))
% 0.95/1.16  (step @p365 :rule refl :args (tptp.dsetconstr))
% 0.95/1.16  (step @p366 :rule ho_cong :premises (@p365 @p362))
% 0.95/1.16  (step @p367 :rule ho_cong :premises (@p366 @p361))
% 0.95/1.16  (step @p368 :rule cong :premises (@p367 @p364) :args ((= (_ (_ tptp.dsetconstr @t192) @t196) @t197)))
% 0.95/1.16  (step @p369 :rule symm :premises (@p368))
% 0.95/1.16  (step @p370 :rule refl :args (@t223))
% 0.95/1.16  (step @p371 :rule eq_resolve :premises (@p370 @p369))
% 0.95/1.16  (step @p372 :rule ho_cong :premises (@p28 @p358))
% 0.95/1.16  (step @p373 :rule ho_cong :premises (@p372 @p357))
% 0.95/1.16  (step @p374 :rule cong :premises (@p373 @p360) :args ((= (_ (_ tptp.in @t78) @t39) @t195)))
% 0.95/1.16  (step @p375 :rule symm :premises (@p374))
% 0.95/1.16  (step @p376 :rule refl :args (@t221))
% 0.95/1.16  (step @p377 :rule eq_resolve :premises (@p376 @p375))
% 0.95/1.16  (step @p378 :rule refl :args (@t220))
% 0.95/1.16  (step @p379 :rule cong :premises (@p378 @p358) :args ((= @t220 @t78)))
% 0.95/1.16  (step @p380 :rule symm :premises (@p379))
% 0.95/1.16  (step @p381 :rule eq_resolve :premises (@p378 @p380))
% 0.95/1.16  (step @p382 :rule ho_cong :premises (@p28 @p381))
% 0.95/1.16  (step @p383 :rule ho_cong :premises (@p382 @p357))
% 0.95/1.16  (step @p384 :rule trans :premises (@p383 @p377))
% 0.95/1.16  (step @p385 :rule cong :premises (@p384) :args (@t222))
% 0.95/1.16  (step @p386 :rule refl :args (@t42))
% 0.95/1.16  (step @p387 :rule cong :premises (@p386 @p362) :args ((= @t42 @t192)))
% 0.95/1.16  (step @p388 :rule symm :premises (@p387))
% 0.95/1.16  (step @p389 :rule eq_resolve :premises (@p386 @p388))
% 0.95/1.16  (step @p390 :rule ho_cong :premises (@p365 @p389))
% 0.95/1.16  (step @p391 :rule ho_cong :premises (@p390 @p385))
% 0.95/1.16  (step @p392 :rule trans :premises (@p391 @p371))
% 0.95/1.16  (step @p393 :rule cong :premises (@p159 @p392) :args (@t224))
% 0.95/1.16  (step @p394 :rule cong :premises (@p393) :args (@t225))
% 0.95/1.16  (step @p395 :rule cong :premises (@p17 @p392) :args (@t226))
% 0.95/1.16  (step @p396 :rule cong :premises (@p395) :args (@t227))
% 0.95/1.16  (step @p397 :rule nary_cong :premises (@p396 @p394) :args (@t228))
% 0.95/1.16  (step @p398 :rule cong :premises (@p397) :args ((forall @t40 @t228)))
% 0.95/1.16  (step @p399 :rule alpha_equiv :args (@t41 @t122 (@list @t77)))
% 0.95/1.16  (step @p400 :rule refl :args (@t43))
% 0.95/1.16  (step @p401 :rule ho_cong :premises (@p400 @p399))
% 0.95/1.16  (step @p402 :rule cong :premises (@p159 @p401) :args (@t229))
% 0.95/1.16  (step @p403 :rule cong :premises (@p402) :args (@t230))
% 0.95/1.16  (step @p404 :rule cong :premises (@p17 @p401) :args (@t231))
% 0.95/1.16  (step @p405 :rule cong :premises (@p404) :args (@t232))
% 0.95/1.16  (step @p406 :rule nary_cong :premises (@p405 @p403) :args (@t233))
% 0.95/1.16  (step @p407 :rule cong :premises (@p406) :args ((forall @t40 @t233)))
% 0.95/1.16  (step @p408 :rule trans :premises (@p407 @p398))
% 0.95/1.16  (step @p409 :rule eq-symm :args (@t44 @t81))
% 0.95/1.16  (step @p410 :rule cong :premises (@p409) :args (@t234))
% 0.95/1.16  (step @p411 :rule refl :args (@t232))
% 0.95/1.16  (step @p412 :rule nary_cong :premises (@p411 @p410) :args (@t235))
% 0.95/1.16  (step @p413 :rule cong :premises (@p412) :args (@t236))
% 0.95/1.16  (step @p414 :rule trans :premises (@p413 @p408))
% 0.95/1.16  (step @p415 :rule cong :premises (@p414) :args (@t237))
% 0.95/1.16  (step @p416 :rule beta-reduce :args ((= @t238 @t237)))
% 0.95/1.16  (step @p417 :rule trans :premises (@p416 @p415))
% 0.95/1.16  (step @p418 :rule eq-symm :args (@t39 @t214))
% 0.95/1.16  (step @p419 :rule cong :premises (@p418) :args (@t239))
% 0.95/1.16  (step @p420 :rule refl :args (@t215))
% 0.95/1.16  (step @p421 :rule refl :args (@t216))
% 0.95/1.16  (step @p422 :rule nary_cong :premises (@p421 @p420 @p419) :args (@t240))
% 0.95/1.16  (step @p423 :rule cong :premises (@p422) :args (@t241))
% 0.95/1.16  (step @p424 :rule cong :premises (@p423) :args (@t242))
% 0.95/1.16  (step @p425 :rule beta-reduce :args ((= @t249 @t242)))
% 0.95/1.16  (step @p426 :rule trans :premises (@p425 @p424))
% 0.95/1.16  (step @p427 :rule cong :premises (@p426 @p417) :args (@t250))
% 0.95/1.16  (step @p428 :rule cong :premises (@p427) :args (@t251))
% 0.95/1.16  (step @p429 :rule trans :premises (@p428 @p354))
% 0.95/1.16  (step @p430 :rule cong :premises (@p83 @p429) :args (@t252))
% 0.95/1.16  (step @p431 :rule cong :premises (@p205 @p430) :args (@t253))
% 0.95/1.16  (step @p432 :rule cong :premises (@p303 @p431) :args (@t254))
% 0.95/1.16  (step @p433 :rule cong :premises (@p432) :args ((not @t254)))
% 0.95/1.16  (step @p434 :rule refl :args (@t44))
% 0.95/1.16  (step @p435 :rule ho_cong :premises (@p270 @p434))
% 0.95/1.16  (step @p436 :rule refl :args (@t39))
% 0.95/1.16  (step @p437 :rule aci_norm :args ((= @t256 @t248)))
% 0.95/1.16  (step @p438 :rule cong :premises (@p437) :args (@t257))
% 0.95/1.16  (step @p439 :rule quant-merge-prenex :args ((= (forall @t40 @t259) @t257)))
% 0.95/1.16  (step @p440 :rule alpha_equiv :args (@t260 (@list @t212) (@list @t1)))
% 0.95/1.16  (step @p441 :rule refl :args (@t247))
% 0.95/1.16  (step @p442 :rule nary_cong :premises (@p441 @p440) :args (@t261))
% 0.95/1.16  (step @p443 :rule quant-miniscope-or :args ((= @t259 @t261)))
% 0.95/1.16  (step @p444 :rule trans :premises (@p443 @p442))
% 0.95/1.16  (step @p445 :rule symm :premises (@p444))
% 0.95/1.16  (step @p446 :rule cong :premises (@p445) :args ((forall @t40 (or @t247 @t263))))
% 0.95/1.16  (step @p447 :rule trans :premises (@p446 @p439))
% 0.95/1.16  (step @p448 :rule trans :premises (@p447 @p438))
% 0.95/1.16  (step @p449 :rule refl :args (@t263))
% 0.95/1.16  (step @p450 :rule refl :args ((tptp.in @t2 @t53)))
% 0.95/1.16  (step @p451 :rule refl :args (@t244))
% 0.95/1.16  (step @p452 :rule cong :premises (@p17 @p451) :args (@t246))
% 0.95/1.16  (step @p453 :rule trans :premises (@p452 @p450))
% 0.95/1.16  (step @p454 :rule ho_cong :premises (@p290 @p451))
% 0.95/1.16  (step @p455 :rule cong :premises (@p454 @p453) :args ((= (_ @t5 @t244) @t246)))
% 0.95/1.16  (step @p456 :rule symm :premises (@p455))
% 0.95/1.16  (step @p457 :rule refl :args (@t57))
% 0.95/1.16  (step @p458 :rule eq_resolve :premises (@p457 @p456))
% 0.95/1.16  (step @p459 :rule refl :args (@t53))
% 0.95/1.16  (step @p460 :rule cong :premises (@p459 @p451) :args ((= @t53 @t244)))
% 0.95/1.16  (step @p461 :rule symm :premises (@p460))
% 0.95/1.16  (step @p462 :rule eq_resolve :premises (@p459 @p461))
% 0.95/1.16  (step @p463 :rule ho_cong :premises (@p290 @p462))
% 0.95/1.16  (step @p464 :rule trans :premises (@p463 @p458))
% 0.95/1.16  (step @p465 :rule cong :premises (@p464) :args (@t264))
% 0.95/1.16  (step @p466 :rule nary_cong :premises (@p465 @p449) :args (@t265))
% 0.95/1.16  (step @p467 :rule cong :premises (@p466) :args ((forall @t40 @t265)))
% 0.95/1.16  (step @p468 :rule trans :premises (@p467 @p448))
% 0.95/1.16  (step @p469 :rule bool-double-not-elim :args (@t263))
% 0.95/1.16  (step @p470 :rule refl :args (@t264))
% 0.95/1.16  (step @p471 :rule nary_cong :premises (@p470 @p469) :args ((or @t264 (not @t266))))
% 0.95/1.16  (step @p472 :rule bool-and-de-morgan :args (@t57 @t266 true))
% 0.95/1.16  (step @p473 :rule trans :premises (@p472 @p471))
% 0.95/1.16  (step @p474 :rule cong :premises (@p473) :args (@t268))
% 0.95/1.16  (step @p475 :rule trans :premises (@p474 @p468))
% 0.95/1.16  (step @p476 :rule cong :premises (@p475) :args (@t269))
% 0.95/1.16  (step @p477 :rule exists-elim :args ((= (exists @t40 @t267) @t269)))
% 0.95/1.16  (step @p478 :rule trans :premises (@p477 @p476))
% 0.95/1.16  (step @p479 :rule cong :premises (@p157 @p69) :args (@t52))
% 0.95/1.16  (step @p480 :rule cong :premises (@p479) :args (@t270))
% 0.95/1.16  (step @p481 :rule refl :args ((tptp.in @t1 @t53)))
% 0.95/1.16  (step @p482 :rule refl :args (@t1))
% 0.95/1.16  (step @p483 :rule cong :premises (@p482 @p451) :args (@t262))
% 0.95/1.16  (step @p484 :rule trans :premises (@p483 @p481))
% 0.95/1.16  (step @p485 :rule refl :args (@t15))
% 0.95/1.16  (step @p486 :rule ho_cong :premises (@p485 @p451))
% 0.95/1.16  (step @p487 :rule cong :premises (@p486 @p484) :args ((= (_ @t15 @t244) @t262)))
% 0.95/1.16  (step @p488 :rule symm :premises (@p487))
% 0.95/1.16  (step @p489 :rule refl :args (@t54))
% 0.95/1.16  (step @p490 :rule eq_resolve :premises (@p489 @p488))
% 0.95/1.16  (step @p491 :rule ho_cong :premises (@p485 @p462))
% 0.95/1.16  (step @p492 :rule trans :premises (@p491 @p490))
% 0.95/1.16  (step @p493 :rule cong :premises (@p492) :args (@t271))
% 0.95/1.16  (step @p494 :rule nary_cong :premises (@p493 @p480) :args (@t272))
% 0.95/1.16  (step @p495 :rule cong :premises (@p494) :args ((forall @t11 @t272)))
% 0.95/1.16  (step @p496 :rule bool-and-de-morgan :args (@t54 @t52 true))
% 0.95/1.16  (step @p497 :rule cong :premises (@p496) :args (@t273))
% 0.95/1.16  (step @p498 :rule trans :premises (@p497 @p495))
% 0.95/1.16  (step @p499 :rule cong :premises (@p498) :args (@t274))
% 0.95/1.16  (step @p500 :rule exists-elim :args ((= @t56 @t274)))
% 0.95/1.16  (step @p501 :rule trans :premises (@p500 @p499))
% 0.95/1.16  (step @p502 :rule refl :args (@t57))
% 0.95/1.16  (step @p503 :rule nary_cong :premises (@p502 @p501) :args (@t58))
% 0.95/1.16  (step @p504 :rule cong :premises (@p503) :args (@t59))
% 0.95/1.16  (step @p505 :rule trans :premises (@p504 @p478))
% 0.95/1.16  (step @p506 :rule cong :premises (@p505) :args (@t61))
% 0.95/1.16  (step @p507 :rule trans :premises (@p6 @p506))
% 0.95/1.16  (step @p508 :rule ho_cong :premises (@p507 @p436))
% 0.95/1.16  (step @p509 :rule cong :premises (@p508 @p435) :args (@t45))
% 0.95/1.16  (step @p510 :rule cong :premises (@p509) :args (@t47))
% 0.95/1.16  (step @p511 :rule cong :premises (@p83 @p510) :args (@t48))
% 0.95/1.16  (step @p512 :rule cong :premises (@p205 @p511) :args (@t49))
% 0.95/1.16  (step @p513 :rule cong :premises (@p303 @p512) :args (@t50))
% 0.95/1.16  (step @p514 :rule cong :premises (@p513) :args (@t51))
% 0.95/1.16  (step @p515 :rule trans :premises (@p514 @p433))
% 0.95/1.16  (step @p516 :rule trans :premises (@p515 @p307))
% 0.95/1.16  (step @p517 :rule eq_resolve :premises (@p4 @p516))
% 0.95/1.16  (step @p518 :rule not_implies_elim2 :premises (@p517))
% 0.95/1.16  (step @p519 :rule not_implies_elim2 :premises (@p518))
% 0.95/1.16  (step @p520 :rule not_implies_elim1 :premises (@p519))
% 0.95/1.16  (step @p521 :rule eq-symm :args (@t283 @t280))
% 0.95/1.16  (step @p522 :rule beta-reduce :args ((= @t284 @t280)))
% 0.95/1.16  (step @p523 :rule refl :args (@t283))
% 0.95/1.16  (step @p524 :rule cong :premises (@p523 @p522) :args (@t285))
% 0.95/1.16  (step @p525 :rule trans :premises (@p524 @p521))
% 0.95/1.16  (step @p526 :rule cong :premises (@p525) :args (@t286))
% 0.95/1.16  (step @p527 :rule quant-unused-vars :args ((= (forall @t79 true) true)))
% 0.95/1.16  (step @p528 :rule eq-refl :args (@t284))
% 0.95/1.16  (step @p529 :rule cong :premises (@p528) :args ((forall @t79 (= @t284 @t284))))
% 0.95/1.16  (step @p530 :rule trans :premises (@p529 @p527))
% 0.95/1.16  (step @p531 :rule refl :args (@t284))
% 0.95/1.16  (step @p532 :rule refl :args (@t77))
% 0.95/1.16  (step @p533 :rule skolem_intro :args (@t282))
% 0.95/1.16  (step @p534 :rule ho_cong :premises (@p533 @p532))
% 0.95/1.16  (step @p535 :rule cong :premises (@p534 @p531) :args (@t285))
% 0.95/1.16  (step @p536 :rule cong :premises (@p535) :args (@t286))
% 0.95/1.16  (step @p537 :rule trans :premises (@p536 @p530))
% 0.95/1.16  (step @p538 :rule true_elim :premises (@p537))
% 0.95/1.16  (step @p539 :rule eq_resolve :premises (@p538 @p526))
% 0.95/1.16  (step @p540 :rule eq-symm :args (@t292 @t293))
% 0.95/1.16  (step @p541 :rule refl :args (@t294))
% 0.95/1.16  (step @p542 :rule cong :premises (@p541 @p540) :args ((=> @t294 @t295)))
% 0.95/1.16  (assume-push @p685 @t294)
% 0.95/1.16  (step @p544 :rule instantiate :premises (@p539) :args ((@list @t291)))
% 0.95/1.16  (step-pop @p686 :rule scope :premises (@p544))
% 0.95/1.16  (step @p545 :rule process_scope :premises (@p686) :args (@t295))
% 0.95/1.16  (step @p547 :rule eq_resolve :premises (@p545 @p542))
% 0.95/1.16  (step @p548 :rule implies_elim :premises (@p547))
% 0.95/1.16  (step @p549 :rule chain_m_resolution :premises (@p548 @p539) :args (@t296 @t297 (@list @t294)))
% 0.95/1.16  (step @p550 :rule not_implies_elim1 :premises (@p518))
% 0.95/1.16  (step @p551 :rule eq-symm :args (@t298 @t96))
% 0.95/1.16  (step @p552 :rule cong :premises (@p551) :args (@t299))
% 0.95/1.16  (step @p553 :rule refl :args (@t300))
% 0.95/1.16  (step @p554 :rule nary_cong :premises (@p553 @p552) :args (@t301))
% 0.95/1.16  (step @p555 :rule cong :premises (@p554) :args (@t302))
% 0.95/1.16  (step @p556 :rule cong :premises (@p555) :args (@t303))
% 0.95/1.16  (step @p557 :rule eq-symm :args (@t276 @t1))
% 0.95/1.16  (step @p558 :rule refl :args (@t287))
% 0.95/1.16  (step @p559 :rule refl :args (@t289))
% 0.95/1.16  (step @p560 :rule nary_cong :premises (@p559 @p558 @p557) :args (@t304))
% 0.95/1.16  (step @p561 :rule cong :premises (@p560) :args (@t305))
% 0.95/1.16  (step @p562 :rule cong :premises (@p561) :args (@t306))
% 0.95/1.16  (step @p563 :rule refl :args (@t308))
% 0.95/1.16  (step @p564 :rule refl :args (@t310))
% 0.95/1.16  (step @p565 :rule nary_cong :premises (@p564 @p563 @p562 @p556) :args (@t311))
% 0.95/1.16  (step @p566 :rule refl :args (@t312))
% 0.95/1.16  (step @p567 :rule cong :premises (@p566 @p565) :args ((=> @t312 @t311)))
% 0.95/1.16  (assume-push @p687 @t312)
% 0.95/1.16  (step @p569 :rule instantiate :premises (@p550) :args ((@list @t288 @t282 @t276)))
% 0.95/1.16  (step-pop @p688 :rule scope :premises (@p569))
% 0.95/1.16  (step @p570 :rule process_scope :premises (@p688) :args (@t311))
% 0.95/1.16  (step @p572 :rule eq_resolve :premises (@p570 @p567))
% 0.95/1.16  (step @p573 :rule implies_elim :premises (@p572))
% 0.95/1.16  (step @p574 :rule chain_m_resolution :premises (@p573 @p550) :args (@t316 @t297 (@list @t312)))
% 0.95/1.16  (step @p575 :rule not_implies_elim2 :premises (@p519))
% 0.95/1.16  (step @p576 :rule skolemize :premises (@p575))
% 0.95/1.16  (step @p577 :rule bool-double-not-elim :args (@t318))
% 0.95/1.16  (step @p578 :rule refl :args (@t320))
% 0.95/1.16  (step @p579 :rule nary_cong :premises (@p578 @p577) :args ((or @t320 (not @t319))))
% 0.95/1.16  (step @p580 :rule cnf_or_neg :args (@t320 0))
% 0.95/1.16  (step @p581 :rule eq_resolve :premises (@p580 @p579))
% 0.95/1.16  (step @p582 :rule reordering :premises (@p581) :args ((or @t318 @t320)))
% 0.95/1.16  (step @p583 :rule chain_m_resolution :premises (@p582 @p576) :args (@t318 @t321 @t322))
% 0.95/1.16  (step @p584 :rule refl :args (@t324))
% 0.95/1.16  (step @p585 :rule eq-refl :args (@t281))
% 0.95/1.16  (step @p586 :rule refl :args (@t281))
% 0.95/1.16  (step @p587 :rule cong :premises (@p586 @p533) :args ((= @t281 @t282)))
% 0.95/1.16  (step @p588 :rule trans :premises (@p587 @p585))
% 0.95/1.16  (step @p589 :rule true_elim :premises (@p588))
% 0.95/1.16  (step @p590 :rule refl :args (@t288))
% 0.95/1.16  (step @p591 :rule cong :premises (@p590 @p589) :args (@t317))
% 0.95/1.16  (step @p592 :rule cong :premises (@p591 @p584) :args (@t325))
% 0.95/1.16  (step @p593 :rule cong :premises (@p592) :args (@t326))
% 0.95/1.16  (step @p594 :rule refl :args (@t323))
% 0.95/1.16  (step @p595 :rule cong :premises (@p594 @p591) :args (@t327))
% 0.95/1.16  (step @p596 :rule cong :premises (@p595) :args (@t328))
% 0.95/1.16  (step @p597 :rule nary_cong :premises (@p596 @p593) :args (@t329))
% 0.95/1.16  (step @p598 :rule refl :args (@t318))
% 0.95/1.16  (step @p599 :rule cong :premises (@p598 @p597) :args ((=> @t318 @t329)))
% 0.95/1.16  (step @p600 :rule eq-symm :args (@t324 @t317))
% 0.95/1.16  (step @p601 :rule cong :premises (@p600) :args (@t330))
% 0.95/1.16  (step @p602 :rule refl :args (@t328))
% 0.95/1.16  (step @p603 :rule nary_cong :premises (@p602 @p601) :args (@t331))
% 0.95/1.16  (step @p604 :rule cong :premises (@p598 @p603) :args ((=> @t318 @t331)))
% 0.95/1.16  (assume-push @p689 @t318)
% 0.95/1.16  (step @p606 :rule instantiate :premises (@p583) :args ((@list @t323)))
% 0.95/1.16  (step-pop @p690 :rule scope :premises (@p606))
% 0.95/1.16  (step @p607 :rule process_scope :premises (@p690) :args (@t331))
% 0.95/1.16  (step @p609 :rule eq_resolve :premises (@p607 @p604))
% 0.95/1.16  (step @p610 :rule eq_resolve :premises (@p609 @p599))
% 0.95/1.16  (step @p611 :rule implies_elim :premises (@p610))
% 0.95/1.16  (step @p612 :rule chain_m_resolution :premises (@p611 @p583) :args (@t333 @t297 (@list @t318)))
% 0.95/1.16  (step @p613 :rule refl :args (@t334))
% 0.95/1.16  (step @p614 :rule bool-double-not-elim :args (@t313))
% 0.95/1.16  (step @p615 :rule nary_cong :premises (@p614 @p613) :args ((or (not @t314) @t334)))
% 0.95/1.16  (step @p616 :rule eq-symm :args (@t324 @t298))
% 0.95/1.16  (step @p617 :rule cong :premises (@p616) :args (@t335))
% 0.95/1.16  (step @p618 :rule refl :args (@t332))
% 0.95/1.16  (step @p619 :rule nary_cong :premises (@p618 @p617) :args (@t336))
% 0.95/1.16  (step @p620 :rule cong :premises (@p619) :args (@t337))
% 0.95/1.16  (step @p621 :rule refl :args (@t314))
% 0.95/1.16  (step @p622 :rule cong :premises (@p621 @p620) :args ((=> @t314 @t337)))
% 0.95/1.16  (assume-push @p691 @t314)
% 0.95/1.16  (step @p624 :rule skolemize :premises (@p691))
% 0.95/1.16  (step-pop @p692 :rule scope :premises (@p624))
% 0.95/1.16  (step @p625 :rule process_scope :premises (@p692) :args (@t337))
% 0.95/1.16  (step @p627 :rule eq_resolve :premises (@p625 @p622))
% 0.95/1.16  (step @p628 :rule implies_elim :premises (@p627))
% 0.95/1.16  (step @p629 :rule eq_resolve :premises (@p628 @p615))
% 0.95/1.16  (step @p630 :rule chain_m_resolution :premises (@p629 @p612) :args (@t313 @t297 (@list @t333)))
% 0.95/1.16  (step @p631 :rule instantiate :premises (@p539) :args ((@list @t276)))
% 0.95/1.16  (step @p632 :rule not_implies_elim1 :premises (@p517))
% 0.95/1.16  (step @p633 :rule instantiate :premises (@p632) :args ((@list @t278 @t277)))
% 0.95/1.16  (step @p634 :rule cnf_equiv_pos1 :args (@t339))
% 0.95/1.16  (step @p635 :rule reordering :premises (@p634) :args ((or (not @t338) @t307 (not @t339))))
% 0.95/1.16  (step @p636 :rule chain_m_resolution :premises (@p635 @p633 @p631) :args (@t307 @t340 (@list @t338 @t339)))
% 0.95/1.16  (step @p637 :rule bool-double-not-elim :args (@t309))
% 0.95/1.16  (step @p638 :rule nary_cong :premises (@p578 @p637) :args ((or @t320 (not @t310))))
% 0.95/1.16  (step @p639 :rule cnf_or_neg :args (@t320 1))
% 0.95/1.16  (step @p640 :rule eq_resolve :premises (@p639 @p638))
% 0.95/1.16  (step @p641 :rule reordering :premises (@p640) :args ((or @t309 @t320)))
% 0.95/1.16  (step @p642 :rule chain_m_resolution :premises (@p641 @p576) :args (@t309 @t321 @t322))
% 0.95/1.16  (step @p643 :rule cnf_or_pos :args (@t316))
% 0.95/1.16  (step @p644 :rule reordering :premises (@p643) :args ((or @t310 @t308 @t315 @t314 (not @t316))))
% 0.95/1.16  (step @p645 :rule chain_m_resolution :premises (@p644 @p642 @p636 @p630 @p574) :args (@t315 (@list false false false false) (@list @t309 @t307 @t313 @t316)))
% 0.95/1.16  (step @p646 :rule refl :args (@t345))
% 0.95/1.16  (step @p647 :rule bool-double-not-elim :args (@t290))
% 0.95/1.16  (step @p648 :rule nary_cong :premises (@p647 @p646) :args ((or (not @t315) @t345)))
% 0.95/1.16  (step @p649 :rule eq-symm :args (@t291 @t276))
% 0.95/1.16  (step @p650 :rule refl :args (@t342))
% 0.95/1.16  (step @p651 :rule refl :args (@t343))
% 0.95/1.16  (step @p652 :rule nary_cong :premises (@p651 @p650 @p649) :args (@t346))
% 0.95/1.16  (step @p653 :rule cong :premises (@p652) :args (@t347))
% 0.95/1.16  (step @p654 :rule refl :args (@t315))
% 0.95/1.16  (step @p655 :rule cong :premises (@p654 @p653) :args ((=> @t315 @t347)))
% 0.95/1.16  (assume-push @p693 @t315)
% 0.95/1.16  (step @p657 :rule skolemize :premises (@p693))
% 0.95/1.16  (step-pop @p694 :rule scope :premises (@p657))
% 0.95/1.16  (step @p658 :rule process_scope :premises (@p694) :args (@t347))
% 0.95/1.16  (step @p660 :rule eq_resolve :premises (@p658 @p655))
% 0.95/1.16  (step @p661 :rule implies_elim :premises (@p660))
% 0.95/1.16  (step @p662 :rule eq_resolve :premises (@p661 @p648))
% 0.95/1.16  (step @p663 :rule chain_m_resolution :premises (@p662 @p645) :args (@t345 @t321 (@list @t290)))
% 0.95/1.16  (step @p664 :rule bool-double-not-elim :args (@t293))
% 0.95/1.16  (step @p665 :rule refl :args (@t344))
% 0.95/1.16  (step @p666 :rule nary_cong :premises (@p665 @p664) :args ((or @t344 (not @t342))))
% 0.95/1.16  (step @p667 :rule cnf_or_neg :args (@t344 1))
% 0.95/1.16  (step @p668 :rule eq_resolve :premises (@p667 @p666))
% 0.95/1.16  (step @p669 :rule reordering :premises (@p668) :args ((or @t293 @t344)))
% 0.95/1.16  (step @p670 :rule chain_m_resolution :premises (@p669 @p663) :args (@t293 @t321 @t348))
% 0.95/1.16  (step @p671 :rule cnf_equiv_pos1 :args (@t296))
% 0.95/1.16  (step @p672 :rule reordering :premises (@p671) :args ((or @t342 @t292 (not @t296))))
% 0.95/1.16  (step @p673 :rule chain_m_resolution :premises (@p672 @p670 @p549) :args (@t292 @t340 (@list @t293 @t296)))
% 0.95/1.16  (step @p674 :rule cnf_or_neg :args (@t344 2))
% 0.95/1.16  (step @p675 :rule chain_m_resolution :premises (@p674 @p663) :args ((not @t341) @t321 @t348))
% 0.95/1.16  (step @p676 :rule cnf_or_pos :args (@t350))
% 0.95/1.16  (step @p677 :rule reordering :premises (@p676) :args ((or @t341 @t349 @t351)))
% 0.95/1.16  (step @p678 :rule chain_m_resolution :premises (@p677 @p675 @p673) :args (@t351 @t352 (@list @t341 @t292)))
% 0.95/1.16  (assume-push @p695 @t353)
% 0.95/1.16  (step @p680 :rule instantiate :premises (@p520) :args ((@list @t276 @t275 @t291)))
% 0.95/1.16  (step-pop @p696 :rule scope :premises (@p680))
% 0.95/1.16  (step @p681 :rule process_scope :premises (@p696) :args (@t350))
% 0.95/1.16  (step @p683 :rule implies_elim :premises (@p681))
% 0.95/1.16  (step @p684 false :rule chain_m_resolution :premises (@p683 @p678 @p520) :args (false @t352 (@list @t350 @t353)))
% 0.95/1.16  )
% 0.95/1.16  % SZS output end Proof
% 0.95/1.16  % cvc5 exiting
%------------------------------------------------------------------------------