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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SEU691^2 : TPTP v9.2.1. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 08:52:45 AM UTC 2026

% Result   : Theorem 0.45s 0.67s
% Output   : Proof 0.45s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU691^2 : TPTP v9.2.1. Released v3.7.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.34  % Computer : n013.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
% 0.18/0.34  % CPULimit : 300
% 0.18/0.34  % WCLimit  : 300
% 0.18/0.34  % DateTime : Tue Jun  2 17:47:00 EDT 2026
% 0.18/0.34  % CPUTime  : 
% 0.29/0.49  %----Proving TH0
% 0.45/0.67  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.45/0.67  % SZS status Theorem
% 0.45/0.67  % SZS output start Proof
% 0.45/0.67  (
% 0.45/0.67  (declare-sort $$unsorted 0)
% 0.45/0.67  (declare-const tptp.emptyset $$unsorted)
% 0.45/0.67  (declare-const tptp.setadjoin (-> $$unsorted $$unsorted $$unsorted))
% 0.45/0.67  (declare-const tptp.in (-> $$unsorted $$unsorted Bool))
% 0.45/0.67  (declare-const tptp.dsetconstr (-> $$unsorted (-> $$unsorted Bool) $$unsorted))
% 0.45/0.67  (declare-const tptp.cartprod (-> $$unsorted $$unsorted $$unsorted))
% 0.45/0.67  (declare-const tptp.subset (-> $$unsorted $$unsorted Bool))
% 0.45/0.67  (declare-const tptp.kpair (-> $$unsorted $$unsorted $$unsorted))
% 0.45/0.67  (declare-const tptp.funcGraphProp1 Bool)
% 0.45/0.67  (declare-const tptp.eqbreln Bool)
% 0.45/0.67  (declare-const tptp.funcGraphProp2 Bool)
% 0.45/0.67  (declare-const tptp.ap (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.45/0.67  (define tptp.singleton () (let ((_let_1 (@var "Xx" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (lambda (@list _let_2) (exists (@list _let_1) (and (_ (_ tptp.in _let_1) _let_2) (= _let_2 (_ (_ tptp.setadjoin _let_1) tptp.emptyset))))))))
% 0.45/0.67  (define tptp.ex1 () (let ((_let_1 (@var "Xx" $$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)))))))))
% 0.45/0.67  (define tptp.breln () (let ((_let_1 (@var "B" $$unsorted))) (let ((_let_2 (@var "A" $$unsorted))) (let ((_let_3 (@var "C" $$unsorted))) (lambda (@list _let_2 _let_1 _let_3) (_ (_ tptp.subset _let_3) (_ (_ tptp.cartprod _let_2) _let_1)))))))
% 0.45/0.67  (define tptp.func () (let ((_let_1 (@var "R" $$unsorted))) (let ((_let_2 (@var "Xy" $$unsorted))) (let ((_let_3 (@var "Xx" $$unsorted))) (let ((_let_4 (@var "B" $$unsorted))) (let ((_let_5 (@var "A" $$unsorted))) (lambda (@list _let_5 _let_4 _let_1) (and (_ (_ (_ tptp.breln _let_5) _let_4) _let_1) (forall (@list _let_3) (=> (_ (_ tptp.in _let_3) _let_5) (_ (_ tptp.ex1 _let_4) (lambda (@list _let_2) (_ (_ tptp.in (_ (_ tptp.kpair _let_3) _let_2)) _let_1)))))))))))))
% 0.45/0.67  (define @t1 () (@var "Xf" $$unsorted))
% 0.45/0.67  (define @t2 () (@var "Xx" $$unsorted))
% 0.45/0.67  (define @t3 () (@var "B" $$unsorted))
% 0.45/0.67  (define @t4 () (@var "A" $$unsorted))
% 0.45/0.67  (define @t5 () (_ (_ tptp.ap @t4) @t3))
% 0.45/0.67  (define @t6 () (_ (_ @t5 @t1) @t2))
% 0.45/0.67  (define @t7 () (_ tptp.kpair @t2))
% 0.45/0.67  (define @t8 () (_ @t7 @t6))
% 0.45/0.67  (define @t9 () (_ (_ tptp.in @t8) @t1))
% 0.45/0.67  (define @t10 () (_ (_ tptp.in @t2) @t4))
% 0.45/0.67  (define @t11 () (@list @t2))
% 0.45/0.67  (define @t12 () (forall @t11 (=> @t10 @t9)))
% 0.45/0.67  (define @t13 () (_ (_ tptp.func @t4) @t3))
% 0.45/0.67  (define @t14 () (_ @t13 @t1))
% 0.45/0.67  (define @t15 () (=> @t14 @t12))
% 0.45/0.67  (define @t16 () (@list @t4 @t3 @t1))
% 0.45/0.67  (define @t17 () (forall @t16 @t15))
% 0.45/0.67  (define @t18 () (= tptp.funcGraphProp1 @t17))
% 0.45/0.67  (define @t19 () (@var "Xy" $$unsorted))
% 0.45/0.67  (define @t20 () (_ @t7 @t19))
% 0.45/0.67  (define @t21 () (_ tptp.in @t20))
% 0.45/0.67  (define @t22 () (_ @t21 @t1))
% 0.45/0.67  (define @t23 () (=> @t22 (= @t6 @t19)))
% 0.45/0.67  (define @t24 () (_ (_ tptp.in @t19) @t3))
% 0.45/0.67  (define @t25 () (=> @t24 @t23))
% 0.45/0.67  (define @t26 () (@list @t19))
% 0.45/0.67  (define @t27 () (forall @t26 @t25))
% 0.45/0.67  (define @t28 () (=> @t10 @t27))
% 0.45/0.67  (define @t29 () (forall @t11 @t28))
% 0.45/0.67  (define @t30 () (=> @t14 @t29))
% 0.45/0.67  (define @t31 () (forall @t16 @t30))
% 0.45/0.67  (define @t32 () (= tptp.funcGraphProp2 @t31))
% 0.45/0.67  (define @t33 () (@var "S" $$unsorted))
% 0.45/0.67  (define @t34 () (@var "R" $$unsorted))
% 0.45/0.67  (define @t35 () (= @t34 @t33))
% 0.45/0.67  (define @t36 () (_ @t21 @t34))
% 0.45/0.67  (define @t37 () (_ @t21 @t33))
% 0.45/0.67  (define @t38 () (=> @t37 @t36))
% 0.45/0.67  (define @t39 () (forall @t26 (=> @t24 @t38)))
% 0.45/0.67  (define @t40 () (=> @t10 @t39))
% 0.45/0.67  (define @t41 () (forall @t11 @t40))
% 0.45/0.67  (define @t42 () (=> @t41 @t35))
% 0.45/0.67  (define @t43 () (=> @t36 @t37))
% 0.45/0.67  (define @t44 () (forall @t26 (=> @t24 @t43)))
% 0.45/0.67  (define @t45 () (=> @t10 @t44))
% 0.45/0.67  (define @t46 () (forall @t11 @t45))
% 0.45/0.67  (define @t47 () (=> @t46 @t42))
% 0.45/0.67  (define @t48 () (_ (_ tptp.breln @t4) @t3))
% 0.45/0.67  (define @t49 () (=> (_ @t48 @t33) @t47))
% 0.45/0.67  (define @t50 () (@list @t33))
% 0.45/0.67  (define @t51 () (forall @t50 @t49))
% 0.45/0.67  (define @t52 () (_ @t48 @t34))
% 0.45/0.67  (define @t53 () (=> @t52 @t51))
% 0.45/0.67  (define @t54 () (@list @t4 @t3 @t34))
% 0.45/0.67  (define @t55 () (forall @t54 @t53))
% 0.45/0.67  (define @t56 () (= tptp.eqbreln @t55))
% 0.45/0.67  (define @t57 () (@var "Xg" $$unsorted))
% 0.45/0.67  (define @t58 () (= @t1 @t57))
% 0.45/0.67  (define @t59 () (_ (_ @t5 @t57) @t2))
% 0.45/0.67  (define @t60 () (= @t6 @t59))
% 0.45/0.67  (define @t61 () (forall @t11 (=> @t10 @t60)))
% 0.45/0.67  (define @t62 () (=> @t61 @t58))
% 0.45/0.67  (define @t63 () (=> (_ @t13 @t57) @t62))
% 0.45/0.67  (define @t64 () (@list @t57))
% 0.45/0.67  (define @t65 () (forall @t64 @t63))
% 0.45/0.67  (define @t66 () (=> @t14 @t65))
% 0.45/0.67  (define @t67 () (forall @t16 @t66))
% 0.45/0.67  (define @t68 () (=> tptp.eqbreln @t67))
% 0.45/0.67  (define @t69 () (=> tptp.funcGraphProp2 @t68))
% 0.45/0.67  (define @t70 () (=> tptp.funcGraphProp1 @t69))
% 0.45/0.67  (define @t71 () (not @t70))
% 0.45/0.67  (define @t72 () (_ (_ tptp.setadjoin @t2) tptp.emptyset))
% 0.45/0.67  (define @t73 () (= @t4 @t72))
% 0.45/0.67  (define @t74 () (and @t10 @t73))
% 0.45/0.67  (define @t75 () (exists @t11 @t74))
% 0.45/0.67  (define @t76 () (@list @t4))
% 0.45/0.67  (define @t77 () (lambda @t76 @t75))
% 0.45/0.67  (define @t78 () (@var "Xphi" (-> $$unsorted Bool)))
% 0.45/0.67  (define @t79 () (lambda @t11 (_ @t78 @t2)))
% 0.45/0.67  (define @t80 () (_ tptp.dsetconstr @t4))
% 0.45/0.67  (define @t81 () (_ @t80 @t79))
% 0.45/0.67  (define @t82 () (@list @t4 @t78))
% 0.45/0.67  (define @t83 () (lambda @t82 (_ tptp.singleton @t81)))
% 0.45/0.67  (define @t84 () (_ (_ tptp.cartprod @t4) @t3))
% 0.45/0.67  (define @t85 () (@var "C" $$unsorted))
% 0.45/0.67  (define @t86 () (_ (_ tptp.subset @t85) @t84))
% 0.45/0.67  (define @t87 () (lambda (@list @t4 @t3 @t85) @t86))
% 0.45/0.67  (define @t88 () (lambda @t26 @t36))
% 0.45/0.67  (define @t89 () (=> @t10 (_ (_ tptp.ex1 @t3) @t88)))
% 0.45/0.67  (define @t90 () (forall @t11 @t89))
% 0.45/0.67  (define @t91 () (and @t52 @t90))
% 0.45/0.67  (define @t92 () (lambda @t54 @t91))
% 0.45/0.67  (define @t93 () (@var "BOUND_VARIABLE_8027" $$unsorted))
% 0.45/0.67  (define @t94 () (= @t1 @t93))
% 0.45/0.67  (define @t95 () (tptp.ap @t4 @t3 @t1 @t2))
% 0.45/0.67  (define @t96 () (tptp.in @t2 @t4))
% 0.45/0.67  (define @t97 () (not @t96))
% 0.45/0.67  (define @t98 () (not (forall @t11 (or @t97 (= @t95 (tptp.ap @t4 @t3 @t93 @t2))))))
% 0.45/0.67  (define @t99 () (tptp.kpair @t2 @t19))
% 0.45/0.67  (define @t100 () (tptp.dsetconstr @t3 (lambda @t26 (tptp.in @t99 @t93))))
% 0.45/0.67  (define @t101 () (@var "BOUND_VARIABLE_7577" $$unsorted))
% 0.45/0.67  (define @t102 () (tptp.setadjoin @t101 tptp.emptyset))
% 0.45/0.67  (define @t103 () (@list @t101))
% 0.45/0.67  (define @t104 () (not (forall @t11 (or @t97 (not (forall @t103 (or (not (tptp.in @t101 @t100)) (not (= @t102 @t100)))))))))
% 0.45/0.67  (define @t105 () (tptp.cartprod @t4 @t3))
% 0.45/0.67  (define @t106 () (not (tptp.subset @t93 @t105)))
% 0.45/0.67  (define @t107 () (tptp.in @t99 @t1))
% 0.45/0.67  (define @t108 () (tptp.dsetconstr @t3 (lambda @t26 @t107)))
% 0.45/0.67  (define @t109 () (forall @t11 (or @t97 (not (forall @t103 (or (not (tptp.in @t101 @t108)) (not (= @t102 @t108))))))))
% 0.45/0.67  (define @t110 () (not @t109))
% 0.45/0.67  (define @t111 () (tptp.subset @t1 @t105))
% 0.45/0.67  (define @t112 () (not @t111))
% 0.45/0.67  (define @t113 () (or @t112 @t110 @t106 @t104 @t98 @t94))
% 0.45/0.67  (define @t114 () (@list @t4 @t3 @t1 @t93))
% 0.45/0.67  (define @t115 () (forall @t114 @t113))
% 0.45/0.67  (define @t116 () (@var "BOUND_VARIABLE_7952" $$unsorted))
% 0.45/0.67  (define @t117 () (= @t34 @t116))
% 0.45/0.67  (define @t118 () (@var "BOUND_VARIABLE_7912" $$unsorted))
% 0.45/0.67  (define @t119 () (tptp.kpair @t2 @t118))
% 0.45/0.67  (define @t120 () (tptp.in @t119 @t34))
% 0.45/0.67  (define @t121 () (not (tptp.in @t118 @t3)))
% 0.45/0.67  (define @t122 () (@list @t2 @t118))
% 0.45/0.67  (define @t123 () (not (forall @t122 (or @t97 @t121 (not (tptp.in @t119 @t116)) @t120))))
% 0.45/0.67  (define @t124 () (@var "BOUND_VARIABLE_7885" $$unsorted))
% 0.45/0.67  (define @t125 () (tptp.kpair @t2 @t124))
% 0.45/0.67  (define @t126 () (not (tptp.in @t125 @t34)))
% 0.45/0.67  (define @t127 () (not (tptp.in @t124 @t3)))
% 0.45/0.67  (define @t128 () (@list @t2 @t124))
% 0.45/0.67  (define @t129 () (not (forall @t128 (or @t97 @t127 @t126 (tptp.in @t125 @t116)))))
% 0.45/0.67  (define @t130 () (not (tptp.subset @t116 @t105)))
% 0.45/0.67  (define @t131 () (tptp.subset @t34 @t105))
% 0.45/0.67  (define @t132 () (not @t131))
% 0.45/0.67  (define @t133 () (or @t130 @t129 @t123 @t117))
% 0.45/0.67  (define @t134 () (or @t132 @t133))
% 0.45/0.67  (define @t135 () (forall (@list @t4 @t3 @t34 @t116) @t134))
% 0.45/0.67  (define @t136 () (@list @t116))
% 0.45/0.67  (define @t137 () (forall @t136 @t134))
% 0.45/0.67  (define @t138 () (forall @t136 @t133))
% 0.45/0.67  (define @t139 () (or @t132 @t138))
% 0.45/0.67  (define @t140 () (not (tptp.in @t119 @t33)))
% 0.45/0.67  (define @t141 () (or @t97 @t121 @t140 @t120))
% 0.45/0.67  (define @t142 () (forall @t122 @t141))
% 0.45/0.67  (define @t143 () (not @t142))
% 0.45/0.67  (define @t144 () (tptp.in @t125 @t33))
% 0.45/0.67  (define @t145 () (or @t97 @t127 @t126 @t144))
% 0.45/0.67  (define @t146 () (forall @t128 @t145))
% 0.45/0.67  (define @t147 () (not @t146))
% 0.45/0.67  (define @t148 () (tptp.subset @t33 @t105))
% 0.45/0.67  (define @t149 () (forall @t50 (or (not @t148) @t147 @t143 @t35)))
% 0.45/0.67  (define @t150 () (_ tptp.subset @t34))
% 0.45/0.67  (define @t151 () (_ @t150 @t84))
% 0.45/0.67  (define @t152 () (not @t151))
% 0.45/0.67  (define @t153 () (or @t152 @t149))
% 0.45/0.67  (define @t154 () (_ tptp.subset @t33))
% 0.45/0.67  (define @t155 () (_ @t154 @t84))
% 0.45/0.67  (define @t156 () (not @t155))
% 0.45/0.67  (define @t157 () (or @t156 @t147 @t143 @t35))
% 0.45/0.67  (define @t158 () (or @t147 @t143 @t35))
% 0.45/0.67  (define @t159 () (=> @t142 @t35))
% 0.45/0.67  (define @t160 () (=> @t146 @t159))
% 0.45/0.67  (define @t161 () (or @t121 @t140 @t120))
% 0.45/0.67  (define @t162 () (or @t97 @t161))
% 0.45/0.67  (define @t163 () (forall @t122 @t162))
% 0.45/0.67  (define @t164 () (@list @t118))
% 0.45/0.67  (define @t165 () (forall @t164 @t162))
% 0.45/0.67  (define @t166 () (forall @t164 @t161))
% 0.45/0.67  (define @t167 () (@list @t19))
% 0.45/0.67  (define @t168 () (or @t97 @t166))
% 0.45/0.67  (define @t169 () (tptp.in @t99 @t34))
% 0.45/0.67  (define @t170 () (tptp.in @t99 @t33))
% 0.45/0.67  (define @t171 () (tptp.in @t19 @t3))
% 0.45/0.67  (define @t172 () (not @t171))
% 0.45/0.67  (define @t173 () (forall @t26 (or @t172 (not @t170) @t169)))
% 0.45/0.67  (define @t174 () (not @t10))
% 0.45/0.67  (define @t175 () (or @t174 @t173))
% 0.45/0.67  (define @t176 () (_ tptp.in @t99))
% 0.45/0.67  (define @t177 () (not @t37))
% 0.45/0.67  (define @t178 () (not @t24))
% 0.45/0.67  (define @t179 () (or @t178 @t177 @t36))
% 0.45/0.67  (define @t180 () (or @t127 @t126 @t144))
% 0.45/0.67  (define @t181 () (or @t97 @t180))
% 0.45/0.67  (define @t182 () (forall @t128 @t181))
% 0.45/0.67  (define @t183 () (@list @t124))
% 0.45/0.67  (define @t184 () (forall @t183 @t181))
% 0.45/0.67  (define @t185 () (forall @t183 @t180))
% 0.45/0.67  (define @t186 () (or @t97 @t185))
% 0.45/0.67  (define @t187 () (forall @t26 (or @t172 (not @t169) @t170)))
% 0.45/0.67  (define @t188 () (or @t174 @t187))
% 0.45/0.67  (define @t189 () (not @t36))
% 0.45/0.67  (define @t190 () (or @t178 @t189 @t37))
% 0.45/0.67  (define @t191 () (lambda (@list @t85) @t86))
% 0.45/0.67  (define @t192 () (lambda (@list @t3 @t85) @t86))
% 0.45/0.67  (define @t193 () (_ @t87 @t4))
% 0.45/0.67  (define @t194 () (_ @t193 @t3))
% 0.45/0.67  (define @t195 () (=> (_ @t194 @t33) @t47))
% 0.45/0.67  (define @t196 () (forall @t50 @t195))
% 0.45/0.67  (define @t197 () (_ @t194 @t34))
% 0.45/0.67  (define @t198 () (=> @t197 @t196))
% 0.45/0.67  (define @t199 () (forall @t54 @t198))
% 0.45/0.67  (define @t200 () (=> tptp.eqbreln @t115))
% 0.45/0.67  (define @t201 () (@var "BOUND_VARIABLE_7838" $$unsorted))
% 0.45/0.67  (define @t202 () (tptp.ap @t4 @t3 @t1 @t201))
% 0.45/0.67  (define @t203 () (@var "BOUND_VARIABLE_7840" $$unsorted))
% 0.45/0.67  (define @t204 () (not (tptp.in (tptp.kpair @t201 @t203) @t1)))
% 0.45/0.67  (define @t205 () (not (tptp.in @t203 @t3)))
% 0.45/0.67  (define @t206 () (not (tptp.in @t201 @t4)))
% 0.45/0.67  (define @t207 () (= @t202 @t203))
% 0.45/0.67  (define @t208 () (or @t112 @t110 @t206 @t205 @t204 @t207))
% 0.45/0.67  (define @t209 () (or @t206 @t205 @t204 @t207))
% 0.45/0.67  (define @t210 () (or @t112 @t110 @t209))
% 0.45/0.67  (define @t211 () (forall (@list @t4 @t3 @t1 @t201 @t203) @t210))
% 0.45/0.67  (define @t212 () (@list @t201 @t203))
% 0.45/0.67  (define @t213 () (forall @t212 @t210))
% 0.45/0.67  (define @t214 () (forall @t212 @t209))
% 0.45/0.67  (define @t215 () (@var "BOUND_VARIABLE_7816" $$unsorted))
% 0.45/0.67  (define @t216 () (or @t112 @t110 @t214))
% 0.45/0.67  (define @t217 () (not (tptp.in (tptp.kpair @t2 @t215) @t1)))
% 0.45/0.67  (define @t218 () (not (tptp.in @t215 @t3)))
% 0.45/0.67  (define @t219 () (@list @t2 @t215))
% 0.45/0.67  (define @t220 () (forall @t219 (or @t97 @t218 @t217 (= @t95 @t215))))
% 0.45/0.67  (define @t221 () (_ tptp.subset @t1))
% 0.45/0.67  (define @t222 () (_ @t221 @t84))
% 0.45/0.67  (define @t223 () (not @t222))
% 0.45/0.67  (define @t224 () (or @t223 @t110 @t220))
% 0.45/0.67  (define @t225 () (or @t223 @t110))
% 0.45/0.67  (define @t226 () (and @t222 @t109))
% 0.45/0.67  (define @t227 () (not @t226))
% 0.45/0.67  (define @t228 () (= @t215 @t95))
% 0.45/0.67  (define @t229 () (or @t97 @t218 @t217 @t228))
% 0.45/0.67  (define @t230 () (or @t218 @t217 @t228))
% 0.45/0.67  (define @t231 () (or @t97 @t230))
% 0.45/0.67  (define @t232 () (forall @t219 @t231))
% 0.45/0.67  (define @t233 () (@list @t215))
% 0.45/0.67  (define @t234 () (forall @t233 @t231))
% 0.45/0.67  (define @t235 () (forall @t233 @t230))
% 0.45/0.67  (define @t236 () (or @t97 @t235))
% 0.45/0.67  (define @t237 () (forall @t26 (or @t172 (not @t107) (= @t19 @t95))))
% 0.45/0.67  (define @t238 () (or @t174 @t237))
% 0.45/0.67  (define @t239 () (= @t19 @t6))
% 0.45/0.67  (define @t240 () (not @t22))
% 0.45/0.67  (define @t241 () (or @t178 @t240 @t239))
% 0.45/0.67  (define @t242 () (=> @t22 @t239))
% 0.45/0.67  (define @t243 () (tptp.dsetconstr @t3 (lambda @t26 @t169)))
% 0.45/0.67  (define @t244 () (not (forall @t103 (or (not (tptp.in @t101 @t243)) (not (= @t102 @t243))))))
% 0.45/0.67  (define @t245 () (and @t151 (forall @t11 (or @t97 @t244))))
% 0.45/0.67  (define @t246 () (lambda (@list @t34) @t245))
% 0.45/0.67  (define @t247 () (lambda (@list @t3 @t34) @t245))
% 0.45/0.67  (define @t248 () (_ (lambda @t54 @t245) @t4))
% 0.45/0.67  (define @t249 () (_ @t248 @t3))
% 0.45/0.67  (define @t250 () (_ @t249 @t1))
% 0.45/0.67  (define @t251 () (=> @t250 @t29))
% 0.45/0.67  (define @t252 () (forall @t16 @t251))
% 0.45/0.67  (define @t253 () (or @t174 @t244))
% 0.45/0.67  (define @t254 () (tptp.dsetconstr @t3 @t88))
% 0.45/0.67  (define @t255 () (= @t102 @t254))
% 0.45/0.67  (define @t256 () (not @t255))
% 0.45/0.67  (define @t257 () (tptp.in @t101 @t254))
% 0.45/0.67  (define @t258 () (not @t257))
% 0.45/0.67  (define @t259 () (or @t258 @t256))
% 0.45/0.67  (define @t260 () (not (= @t254 @t102)))
% 0.45/0.67  (define @t261 () (or @t258 @t260))
% 0.45/0.67  (define @t262 () (forall @t103 @t261))
% 0.45/0.67  (define @t263 () (not @t262))
% 0.45/0.67  (define @t264 () (tptp.dsetconstr @t3 @t78))
% 0.45/0.67  (define @t265 () (not (tptp.in @t101 @t264)))
% 0.45/0.67  (define @t266 () (@list @t78))
% 0.45/0.67  (define @t267 () (not (= @t102 @t264)))
% 0.45/0.67  (define @t268 () (or @t265 @t267))
% 0.45/0.67  (define @t269 () (forall @t103 @t268))
% 0.45/0.67  (define @t270 () (not @t269))
% 0.45/0.67  (define @t271 () (tptp.setadjoin @t2 tptp.emptyset))
% 0.45/0.67  (define @t272 () (forall @t11 (or (not (tptp.in @t2 @t264)) (not (= @t271 @t264)))))
% 0.45/0.67  (define @t273 () (@list @t2))
% 0.45/0.67  (define @t274 () (not @t272))
% 0.45/0.67  (define @t275 () (lambda @t266 @t274))
% 0.45/0.67  (define @t276 () (tptp.dsetconstr @t4 @t78))
% 0.45/0.67  (define @t277 () (_ (lambda @t82 (not (forall @t11 (or (not (tptp.in @t2 @t276)) (not (= @t271 @t276)))))) @t3))
% 0.45/0.67  (define @t278 () (=> @t10 (_ @t277 @t88)))
% 0.45/0.67  (define @t279 () (forall @t11 @t278))
% 0.45/0.67  (define @t280 () (@var "BOUND_VARIABLE_7478" $$unsorted))
% 0.45/0.67  (define @t281 () (_ @t78 @t280))
% 0.45/0.67  (define @t282 () (@list @t280))
% 0.45/0.67  (define @t283 () (lambda @t282 @t281))
% 0.45/0.67  (define @t284 () (tptp.dsetconstr @t4 @t283))
% 0.45/0.67  (define @t285 () (= @t271 @t284))
% 0.45/0.67  (define @t286 () (not @t285))
% 0.45/0.67  (define @t287 () (tptp.in @t2 @t284))
% 0.45/0.67  (define @t288 () (not @t287))
% 0.45/0.67  (define @t289 () (or @t288 @t286))
% 0.45/0.67  (define @t290 () (_ @t78 @t280))
% 0.45/0.67  (define @t291 () (lambda @t282 @t290))
% 0.45/0.67  (define @t292 () (_ @t80 @t291))
% 0.45/0.67  (define @t293 () (= @t271 @t292))
% 0.45/0.67  (define @t294 () (not @t293))
% 0.45/0.67  (define @t295 () (tptp.in @t2 @t292))
% 0.45/0.67  (define @t296 () (not @t295))
% 0.45/0.67  (define @t297 () (or @t296 @t294))
% 0.45/0.67  (define @t298 () (= @t271 @t81))
% 0.45/0.67  (define @t299 () (not @t298))
% 0.45/0.67  (define @t300 () (tptp.in @t2 @t81))
% 0.45/0.67  (define @t301 () (not @t300))
% 0.45/0.67  (define @t302 () (or @t301 @t299))
% 0.45/0.67  (define @t303 () (not (= @t81 @t271)))
% 0.45/0.67  (define @t304 () (or @t301 @t303))
% 0.45/0.67  (define @t305 () (forall @t11 @t304))
% 0.45/0.67  (define @t306 () (not @t305))
% 0.45/0.67  (define @t307 () (not @t73))
% 0.45/0.67  (define @t308 () (or @t174 @t307))
% 0.45/0.67  (define @t309 () (forall @t11 (not @t74)))
% 0.45/0.67  (define @t310 () (not @t309))
% 0.45/0.67  (define @t311 () (=> tptp.funcGraphProp2 @t200))
% 0.45/0.67  (define @t312 () (@var "BOUND_VARIABLE_7776" $$unsorted))
% 0.45/0.67  (define @t313 () (tptp.in (tptp.kpair @t312 (tptp.ap @t4 @t3 @t1 @t312)) @t1))
% 0.45/0.67  (define @t314 () (not (tptp.in @t312 @t4)))
% 0.45/0.67  (define @t315 () (or @t314 @t313))
% 0.45/0.67  (define @t316 () (or @t112 @t110 @t315))
% 0.45/0.67  (define @t317 () (forall (@list @t4 @t3 @t1 @t312) @t316))
% 0.45/0.67  (define @t318 () (@list @t312))
% 0.45/0.67  (define @t319 () (forall @t318 @t316))
% 0.45/0.67  (define @t320 () (forall @t318 @t315))
% 0.45/0.67  (define @t321 () (or @t112 @t110 @t320))
% 0.45/0.67  (define @t322 () (tptp.kpair @t2 @t95))
% 0.45/0.67  (define @t323 () (tptp.in @t322 @t1))
% 0.45/0.67  (define @t324 () (forall @t11 (or @t97 @t323)))
% 0.45/0.67  (define @t325 () (or @t223 @t110 @t324))
% 0.45/0.67  (define @t326 () (or @t174 @t9))
% 0.45/0.67  (define @t327 () (=> @t250 @t12))
% 0.45/0.67  (define @t328 () (forall @t16 @t327))
% 0.45/0.67  (define @t329 () (=> tptp.funcGraphProp1 @t311))
% 0.45/0.67  (define @t330 () (or @t106 @t104 @t98 @t94))
% 0.45/0.67  (define @t331 () (or @t112 @t110 @t330))
% 0.45/0.67  (define @t332 () (forall @t114 @t331))
% 0.45/0.67  (define @t333 () (@list @t93))
% 0.45/0.67  (define @t334 () (forall @t333 @t331))
% 0.45/0.67  (define @t335 () (forall @t333 @t330))
% 0.45/0.67  (define @t336 () (or @t112 @t110 @t335))
% 0.45/0.67  (define @t337 () (tptp.ap @t4 @t3 @t57 @t2))
% 0.45/0.67  (define @t338 () (forall @t11 (or @t97 (= @t95 @t337))))
% 0.45/0.67  (define @t339 () (not @t338))
% 0.45/0.67  (define @t340 () (tptp.dsetconstr @t3 (lambda @t26 (tptp.in @t99 @t57))))
% 0.45/0.67  (define @t341 () (forall @t11 (or @t97 (not (forall @t103 (or (not (tptp.in @t101 @t340)) (not (= @t102 @t340))))))))
% 0.45/0.67  (define @t342 () (not @t341))
% 0.45/0.67  (define @t343 () (tptp.subset @t57 @t105))
% 0.45/0.67  (define @t344 () (forall @t64 (or (not @t343) @t342 @t339 @t58)))
% 0.45/0.67  (define @t345 () (or @t223 @t110 @t344))
% 0.45/0.67  (define @t346 () (_ tptp.subset @t57))
% 0.45/0.67  (define @t347 () (_ @t346 @t84))
% 0.45/0.67  (define @t348 () (not @t347))
% 0.45/0.67  (define @t349 () (or @t348 @t342 @t339 @t58))
% 0.45/0.67  (define @t350 () (=> @t338 @t58))
% 0.45/0.67  (define @t351 () (and @t347 @t341))
% 0.45/0.67  (define @t352 () (or @t174 @t60))
% 0.45/0.67  (define @t353 () (=> (_ @t249 @t57) @t62))
% 0.45/0.67  (define @t354 () (forall @t64 @t353))
% 0.45/0.67  (define @t355 () (=> @t250 @t354))
% 0.45/0.67  (define @t356 () (forall @t16 @t355))
% 0.45/0.67  (define @t357 () (=> tptp.eqbreln @t356))
% 0.45/0.67  (define @t358 () (=> tptp.funcGraphProp2 @t357))
% 0.45/0.67  (define @t359 () (=> tptp.funcGraphProp1 @t358))
% 0.45/0.67  (define @t360 () (@quantifiers_skolemize @t115 3))
% 0.45/0.67  (define @t361 () (@quantifiers_skolemize @t115 2))
% 0.45/0.67  (define @t362 () (@quantifiers_skolemize @t115 1))
% 0.45/0.67  (define @t363 () (@quantifiers_skolemize @t115 0))
% 0.45/0.67  (define @t364 () (not (tptp.in @t2 @t363)))
% 0.45/0.67  (define @t365 () (forall @t128 (or @t364 (not (tptp.in @t124 @t362)) (not (tptp.in @t125 @t361)) (tptp.in @t125 @t360))))
% 0.45/0.67  (define @t366 () (@quantifiers_skolemize @t365 0))
% 0.45/0.67  (define @t367 () (tptp.in @t366 @t363))
% 0.45/0.67  (define @t368 () (@quantifiers_skolemize @t365 1))
% 0.45/0.67  (define @t369 () (tptp.kpair @t366 @t368))
% 0.45/0.67  (define @t370 () (tptp.in @t369 @t360))
% 0.45/0.67  (define @t371 () (tptp.in @t369 @t361))
% 0.45/0.67  (define @t372 () (not @t371))
% 0.45/0.67  (define @t373 () (tptp.in @t368 @t362))
% 0.45/0.67  (define @t374 () (not @t373))
% 0.45/0.67  (define @t375 () (not @t367))
% 0.45/0.67  (define @t376 () (or @t375 @t374 @t372 @t370))
% 0.45/0.67  (define @t377 () (forall @t11 (or @t364 (= (tptp.ap @t363 @t362 @t361 @t2) (tptp.ap @t363 @t362 @t360 @t2)))))
% 0.45/0.67  (define @t378 () (= @t361 @t360))
% 0.45/0.67  (define @t379 () (not @t377))
% 0.45/0.67  (define @t380 () (tptp.dsetconstr @t362 (lambda @t26 (tptp.in @t99 @t360))))
% 0.45/0.67  (define @t381 () (forall @t11 (or @t364 (not (forall @t103 (or (not (tptp.in @t101 @t380)) (not (= @t102 @t380))))))))
% 0.45/0.67  (define @t382 () (not @t381))
% 0.45/0.67  (define @t383 () (tptp.cartprod @t363 @t362))
% 0.45/0.67  (define @t384 () (tptp.subset @t360 @t383))
% 0.45/0.67  (define @t385 () (not @t384))
% 0.45/0.67  (define @t386 () (tptp.dsetconstr @t362 (lambda @t26 (tptp.in @t99 @t361))))
% 0.45/0.67  (define @t387 () (forall @t11 (or @t364 (not (forall @t103 (or (not (tptp.in @t101 @t386)) (not (= @t102 @t386))))))))
% 0.45/0.67  (define @t388 () (not @t387))
% 0.45/0.67  (define @t389 () (tptp.subset @t361 @t383))
% 0.45/0.67  (define @t390 () (not @t389))
% 0.45/0.67  (define @t391 () (or @t390 @t388 @t385 @t382 @t379 @t378))
% 0.45/0.67  (define @t392 () (@list true))
% 0.45/0.67  (define @t393 () (@list @t391))
% 0.45/0.67  (define @t394 () (tptp.ap @t363 @t362 @t360 @t366))
% 0.45/0.67  (define @t395 () (tptp.ap @t363 @t362 @t361 @t366))
% 0.45/0.67  (define @t396 () (= @t395 @t394))
% 0.45/0.67  (define @t397 () (or @t375 @t396))
% 0.45/0.67  (define @t398 () (tptp.kpair @t366 @t394))
% 0.45/0.67  (define @t399 () (tptp.in @t398 @t360))
% 0.45/0.67  (define @t400 () (or @t385 @t382 @t375 @t399))
% 0.45/0.67  (define @t401 () (= @t368 @t395))
% 0.45/0.67  (define @t402 () (or @t390 @t388 @t375 @t374 @t372 @t401))
% 0.45/0.67  (define @t403 () (not @t399))
% 0.45/0.67  (define @t404 () (not @t396))
% 0.45/0.67  (define @t405 () (not @t401))
% 0.45/0.67  (define @t406 () (not @t370))
% 0.45/0.67  (define @t407 () (not @t376))
% 0.45/0.67  (define @t408 () (not @t365))
% 0.45/0.67  (define @t409 () (forall @t122 (or @t364 (not (tptp.in @t118 @t362)) (not (tptp.in @t119 @t360)) (tptp.in @t119 @t361))))
% 0.45/0.67  (define @t410 () (not @t409))
% 0.45/0.67  (define @t411 () (or @t390 @t385 @t408 @t410 @t378))
% 0.45/0.67  (define @t412 () (@quantifiers_skolemize @t409 1))
% 0.45/0.67  (define @t413 () (@quantifiers_skolemize @t409 0))
% 0.45/0.67  (define @t414 () (tptp.kpair @t413 @t412))
% 0.45/0.67  (define @t415 () (tptp.in @t414 @t361))
% 0.45/0.67  (define @t416 () (tptp.in @t414 @t360))
% 0.45/0.67  (define @t417 () (not @t416))
% 0.45/0.67  (define @t418 () (tptp.in @t412 @t362))
% 0.45/0.67  (define @t419 () (not @t418))
% 0.45/0.67  (define @t420 () (tptp.in @t413 @t363))
% 0.45/0.67  (define @t421 () (not @t420))
% 0.45/0.67  (define @t422 () (or @t421 @t419 @t417 @t415))
% 0.45/0.67  (define @t423 () (not @t422))
% 0.45/0.67  (define @t424 () (not @t415))
% 0.45/0.67  (define @t425 () (@list @t422))
% 0.45/0.67  (define @t426 () (tptp.ap @t363 @t362 @t361 @t413))
% 0.45/0.67  (define @t427 () (tptp.in (tptp.kpair @t413 @t426) @t361))
% 0.45/0.67  (define @t428 () (or @t390 @t388 @t421 @t427))
% 0.45/0.67  (define @t429 () (tptp.ap @t363 @t362 @t360 @t413))
% 0.45/0.67  (define @t430 () (= @t426 @t429))
% 0.45/0.67  (define @t431 () (or @t421 @t430))
% 0.45/0.67  (define @t432 () (= @t412 @t429))
% 0.45/0.67  (define @t433 () (or @t385 @t382 @t421 @t419 @t417 @t432))
% 0.45/0.67  (define @t434 () (not @t432))
% 0.45/0.67  (define @t435 () (not @t430))
% 0.45/0.67  (define @t436 () (not @t427))
% 0.45/0.67  (define @t437 () (and @t427 @t430 @t432 @t424))
% 0.45/0.67  (assume @p1 @t18)
% 0.45/0.67  (assume @p2 @t32)
% 0.45/0.67  (assume @p3 @t56)
% 0.45/0.67  (assume @p4 @t71)
% 0.45/0.67  (assume @p5 true)
% 0.45/0.67  (step @p6 (= tptp.singleton @t77) :rule refl :args (@t77))
% 0.45/0.67  (step @p7 (= tptp.ex1 @t83) :rule refl :args (@t83))
% 0.45/0.67  (step @p8 (= tptp.breln @t87) :rule refl :args (@t87))
% 0.45/0.67  (step @p9 (= tptp.func @t92) :rule refl :args (@t92))
% 0.45/0.67  (step @p10 :rule refl :args (@t115))
% 0.45/0.67  (step @p11 :rule aci_norm :args ((= @t134 (or @t132 @t130 @t129 @t123 @t117))))
% 0.45/0.67  (step @p12 :rule cong :premises (@p11) :args (@t135))
% 0.45/0.67  (step @p13 :rule quant-merge-prenex :args ((= (forall @t54 @t137) @t135)))
% 0.45/0.67  (step @p14 :rule alpha_equiv :args (@t138 (@list @t116) (@list @t33)))
% 0.45/0.67  (step @p15 :rule refl :args (@t132))
% 0.45/0.67  (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t139))
% 0.45/0.67  (step @p17 :rule quant-miniscope-or :args ((= @t137 @t139)))
% 0.45/0.67  (step @p18 :rule trans :premises (@p17 @p16))
% 0.45/0.67  (step @p19 :rule symm :premises (@p18))
% 0.45/0.67  (step @p20 :rule cong :premises (@p19) :args ((forall @t54 (or @t132 @t149))))
% 0.45/0.67  (step @p21 :rule trans :premises (@p20 @p13))
% 0.45/0.67  (step @p22 :rule trans :premises (@p21 @p12))
% 0.45/0.67  (step @p23 :rule refl :args (@t149))
% 0.45/0.67  (step @p24 :rule refl :args ((tptp.subset @t34 @t84)))
% 0.45/0.67  (step @p25 :rule refl :args (@t105))
% 0.45/0.67  (step @p26 :rule refl :args (@t34))
% 0.45/0.67  (step @p27 :rule cong :premises (@p26 @p25) :args (@t131))
% 0.45/0.67  (step @p28 :rule trans :premises (@p27 @p24))
% 0.45/0.67  (step @p29 :rule refl :args (@t150))
% 0.45/0.67  (step @p30 :rule ho_cong :premises (@p29 @p25))
% 0.45/0.67  (step @p31 :rule cong :premises (@p30 @p28) :args ((= (_ @t150 @t105) @t131)))
% 0.45/0.67  (step @p32 :rule symm :premises (@p31))
% 0.45/0.67  (step @p33 :rule refl :args (@t151))
% 0.45/0.67  (step @p34 :rule eq_resolve :premises (@p33 @p32))
% 0.45/0.67  (step @p35 :rule refl :args (@t84))
% 0.45/0.67  (step @p36 :rule cong :premises (@p35 @p25) :args ((= @t84 @t105)))
% 0.45/0.67  (step @p37 :rule symm :premises (@p36))
% 0.45/0.67  (step @p38 :rule eq_resolve :premises (@p35 @p37))
% 0.45/0.67  (step @p39 :rule ho_cong :premises (@p29 @p38))
% 0.45/0.67  (step @p40 :rule trans :premises (@p39 @p34))
% 0.45/0.67  (step @p41 :rule cong :premises (@p40) :args (@t152))
% 0.45/0.67  (step @p42 :rule nary_cong :premises (@p41 @p23) :args (@t153))
% 0.45/0.67  (step @p43 :rule cong :premises (@p42) :args ((forall @t54 @t153)))
% 0.45/0.67  (step @p44 :rule trans :premises (@p43 @p22))
% 0.45/0.67  (step @p45 :rule bool-impl-elim :args (@t151 @t149))
% 0.45/0.67  (step @p46 :rule cong :premises (@p45) :args ((forall @t54 (=> @t151 @t149))))
% 0.45/0.67  (step @p47 :rule trans :premises (@p46 @p44))
% 0.45/0.67  (step @p48 :rule refl :args (@t35))
% 0.45/0.67  (step @p49 :rule refl :args (@t143))
% 0.45/0.67  (step @p50 :rule refl :args (@t147))
% 0.45/0.67  (step @p51 :rule refl :args ((tptp.subset @t33 @t84)))
% 0.45/0.67  (step @p52 :rule refl :args (@t33))
% 0.45/0.67  (step @p53 :rule cong :premises (@p52 @p25) :args (@t148))
% 0.45/0.67  (step @p54 :rule trans :premises (@p53 @p51))
% 0.45/0.67  (step @p55 :rule refl :args (@t154))
% 0.45/0.67  (step @p56 :rule ho_cong :premises (@p55 @p25))
% 0.45/0.67  (step @p57 :rule cong :premises (@p56 @p54) :args ((= (_ @t154 @t105) @t148)))
% 0.45/0.67  (step @p58 :rule symm :premises (@p57))
% 0.45/0.67  (step @p59 :rule refl :args (@t155))
% 0.45/0.67  (step @p60 :rule eq_resolve :premises (@p59 @p58))
% 0.45/0.67  (step @p61 :rule ho_cong :premises (@p55 @p38))
% 0.45/0.67  (step @p62 :rule trans :premises (@p61 @p60))
% 0.45/0.67  (step @p63 :rule cong :premises (@p62) :args (@t156))
% 0.45/0.67  (step @p64 :rule nary_cong :premises (@p63 @p50 @p49 @p48) :args (@t157))
% 0.45/0.67  (step @p65 :rule cong :premises (@p64) :args ((forall @t50 @t157)))
% 0.45/0.67  (step @p66 :rule aci_norm :args ((= (or @t156 @t158) @t157)))
% 0.45/0.67  (step @p67 :rule aci_norm :args ((= (or @t147 (or @t143 @t35)) @t158)))
% 0.45/0.67  (step @p68 :rule bool-impl-elim :args (@t142 @t35))
% 0.45/0.67  (step @p69 :rule nary_cong :premises (@p50 @p68) :args ((or @t147 @t159)))
% 0.45/0.67  (step @p70 :rule trans :premises (@p69 @p67))
% 0.45/0.67  (step @p71 :rule bool-impl-elim :args (@t146 @t159))
% 0.45/0.67  (step @p72 :rule trans :premises (@p71 @p70))
% 0.45/0.67  (step @p73 :rule refl :args (@t156))
% 0.45/0.67  (step @p74 :rule nary_cong :premises (@p73 @p72) :args ((or @t156 @t160)))
% 0.45/0.67  (step @p75 :rule trans :premises (@p74 @p66))
% 0.45/0.67  (step @p76 :rule bool-impl-elim :args (@t155 @t160))
% 0.45/0.67  (step @p77 :rule trans :premises (@p76 @p75))
% 0.45/0.67  (step @p78 :rule cong :premises (@p77) :args ((forall @t50 (=> @t155 @t160))))
% 0.45/0.67  (step @p79 :rule trans :premises (@p78 @p65))
% 0.45/0.67  (step @p80 :rule refl :args (@t35))
% 0.45/0.67  (step @p81 :rule aci_norm :args ((= @t162 @t141)))
% 0.45/0.67  (step @p82 :rule cong :premises (@p81) :args (@t163))
% 0.45/0.67  (step @p83 :rule quant-merge-prenex :args ((= (forall @t11 @t165) @t163)))
% 0.45/0.67  (step @p84 :rule alpha_equiv :args (@t166 (@list @t118) @t167))
% 0.45/0.67  (step @p85 :rule refl :args (@t97))
% 0.45/0.67  (step @p86 :rule nary_cong :premises (@p85 @p84) :args (@t168))
% 0.45/0.67  (step @p87 :rule quant-miniscope-or :args ((= @t165 @t168)))
% 0.45/0.67  (step @p88 :rule trans :premises (@p87 @p86))
% 0.45/0.67  (step @p89 :rule symm :premises (@p88))
% 0.45/0.67  (step @p90 :rule cong :premises (@p89) :args ((forall @t11 (or @t97 @t173))))
% 0.45/0.67  (step @p91 :rule trans :premises (@p90 @p83))
% 0.45/0.67  (step @p92 :rule trans :premises (@p91 @p82))
% 0.45/0.67  (step @p93 :rule refl :args (@t173))
% 0.45/0.67  (step @p94 :rule refl :args (@t96))
% 0.45/0.67  (step @p95 :rule refl :args (@t10))
% 0.45/0.67  (step @p96 :rule cong :premises (@p95 @p94) :args ((= @t10 @t96)))
% 0.45/0.67  (step @p97 :rule symm :premises (@p96))
% 0.45/0.67  (step @p98 :rule eq_resolve :premises (@p95 @p97))
% 0.45/0.67  (step @p99 :rule cong :premises (@p98) :args (@t174))
% 0.45/0.67  (step @p100 :rule nary_cong :premises (@p99 @p93) :args (@t175))
% 0.45/0.67  (step @p101 :rule cong :premises (@p100) :args ((forall @t11 @t175)))
% 0.45/0.67  (step @p102 :rule trans :premises (@p101 @p92))
% 0.45/0.67  (step @p103 :rule bool-impl-elim :args (@t10 @t173))
% 0.45/0.67  (step @p104 :rule cong :premises (@p103) :args ((forall @t11 (=> @t10 @t173))))
% 0.45/0.67  (step @p105 :rule trans :premises (@p104 @p102))
% 0.45/0.67  (step @p106 :rule refl :args ((tptp.in @t20 @t34)))
% 0.45/0.67  (step @p107 :rule refl :args (@t99))
% 0.45/0.67  (step @p108 :rule cong :premises (@p107 @p26) :args (@t169))
% 0.45/0.67  (step @p109 :rule trans :premises (@p108 @p106))
% 0.45/0.67  (step @p110 :rule refl :args (tptp.in))
% 0.45/0.67  (step @p111 :rule ho_cong :premises (@p110 @p107))
% 0.45/0.67  (step @p112 :rule ho_cong :premises (@p111 @p26))
% 0.45/0.67  (step @p113 :rule cong :premises (@p112 @p109) :args ((= (_ @t176 @t34) @t169)))
% 0.45/0.67  (step @p114 :rule symm :premises (@p113))
% 0.45/0.67  (step @p115 :rule refl :args (@t36))
% 0.45/0.67  (step @p116 :rule eq_resolve :premises (@p115 @p114))
% 0.45/0.67  (step @p117 :rule refl :args (@t20))
% 0.45/0.67  (step @p118 :rule cong :premises (@p117 @p107) :args ((= @t20 @t99)))
% 0.45/0.67  (step @p119 :rule symm :premises (@p118))
% 0.45/0.67  (step @p120 :rule eq_resolve :premises (@p117 @p119))
% 0.45/0.67  (step @p121 :rule ho_cong :premises (@p110 @p120))
% 0.45/0.67  (step @p122 :rule ho_cong :premises (@p121 @p26))
% 0.45/0.67  (step @p123 :rule trans :premises (@p122 @p116))
% 0.45/0.67  (step @p124 :rule refl :args ((tptp.in @t20 @t33)))
% 0.45/0.67  (step @p125 :rule cong :premises (@p107 @p52) :args (@t170))
% 0.45/0.67  (step @p126 :rule trans :premises (@p125 @p124))
% 0.45/0.67  (step @p127 :rule ho_cong :premises (@p111 @p52))
% 0.45/0.67  (step @p128 :rule cong :premises (@p127 @p126) :args ((= (_ @t176 @t33) @t170)))
% 0.45/0.67  (step @p129 :rule symm :premises (@p128))
% 0.45/0.67  (step @p130 :rule refl :args (@t37))
% 0.45/0.67  (step @p131 :rule eq_resolve :premises (@p130 @p129))
% 0.45/0.67  (step @p132 :rule ho_cong :premises (@p121 @p52))
% 0.45/0.67  (step @p133 :rule trans :premises (@p132 @p131))
% 0.45/0.67  (step @p134 :rule cong :premises (@p133) :args (@t177))
% 0.45/0.67  (step @p135 :rule refl :args (@t171))
% 0.45/0.67  (step @p136 :rule refl :args (@t24))
% 0.45/0.67  (step @p137 :rule cong :premises (@p136 @p135) :args ((= @t24 @t171)))
% 0.45/0.67  (step @p138 :rule symm :premises (@p137))
% 0.45/0.67  (step @p139 :rule eq_resolve :premises (@p136 @p138))
% 0.45/0.67  (step @p140 :rule cong :premises (@p139) :args (@t178))
% 0.45/0.67  (step @p141 :rule nary_cong :premises (@p140 @p134 @p123) :args (@t179))
% 0.45/0.67  (step @p142 :rule cong :premises (@p141) :args ((forall @t26 @t179)))
% 0.45/0.67  (step @p143 :rule aci_norm :args ((= (or @t178 (or @t177 @t36)) @t179)))
% 0.45/0.67  (step @p144 :rule bool-impl-elim :args (@t37 @t36))
% 0.45/0.67  (step @p145 :rule refl :args (@t178))
% 0.45/0.67  (step @p146 :rule nary_cong :premises (@p145 @p144) :args ((or @t178 @t38)))
% 0.45/0.67  (step @p147 :rule trans :premises (@p146 @p143))
% 0.45/0.67  (step @p148 :rule bool-impl-elim :args (@t24 @t38))
% 0.45/0.67  (step @p149 :rule trans :premises (@p148 @p147))
% 0.45/0.67  (step @p150 :rule cong :premises (@p149) :args (@t39))
% 0.45/0.67  (step @p151 :rule trans :premises (@p150 @p142))
% 0.45/0.67  (step @p152 :rule refl :args (@t10))
% 0.45/0.67  (step @p153 :rule cong :premises (@p152 @p151) :args (@t40))
% 0.45/0.67  (step @p154 :rule cong :premises (@p153) :args (@t41))
% 0.45/0.67  (step @p155 :rule trans :premises (@p154 @p105))
% 0.45/0.67  (step @p156 :rule cong :premises (@p155 @p80) :args (@t42))
% 0.45/0.67  (step @p157 :rule aci_norm :args ((= @t181 @t145)))
% 0.45/0.67  (step @p158 :rule cong :premises (@p157) :args (@t182))
% 0.45/0.67  (step @p159 :rule quant-merge-prenex :args ((= (forall @t11 @t184) @t182)))
% 0.45/0.67  (step @p160 :rule alpha_equiv :args (@t185 (@list @t124) @t167))
% 0.45/0.67  (step @p161 :rule nary_cong :premises (@p85 @p160) :args (@t186))
% 0.45/0.67  (step @p162 :rule quant-miniscope-or :args ((= @t184 @t186)))
% 0.45/0.67  (step @p163 :rule trans :premises (@p162 @p161))
% 0.45/0.67  (step @p164 :rule symm :premises (@p163))
% 0.45/0.67  (step @p165 :rule cong :premises (@p164) :args ((forall @t11 (or @t97 @t187))))
% 0.45/0.67  (step @p166 :rule trans :premises (@p165 @p159))
% 0.45/0.67  (step @p167 :rule trans :premises (@p166 @p158))
% 0.45/0.67  (step @p168 :rule refl :args (@t187))
% 0.45/0.67  (step @p169 :rule nary_cong :premises (@p99 @p168) :args (@t188))
% 0.45/0.67  (step @p170 :rule cong :premises (@p169) :args ((forall @t11 @t188)))
% 0.45/0.67  (step @p171 :rule trans :premises (@p170 @p167))
% 0.45/0.67  (step @p172 :rule bool-impl-elim :args (@t10 @t187))
% 0.45/0.67  (step @p173 :rule cong :premises (@p172) :args ((forall @t11 (=> @t10 @t187))))
% 0.45/0.67  (step @p174 :rule trans :premises (@p173 @p171))
% 0.45/0.67  (step @p175 :rule cong :premises (@p123) :args (@t189))
% 0.45/0.67  (step @p176 :rule nary_cong :premises (@p140 @p175 @p133) :args (@t190))
% 0.45/0.67  (step @p177 :rule cong :premises (@p176) :args ((forall @t26 @t190)))
% 0.45/0.67  (step @p178 :rule aci_norm :args ((= (or @t178 (or @t189 @t37)) @t190)))
% 0.45/0.67  (step @p179 :rule bool-impl-elim :args (@t36 @t37))
% 0.45/0.67  (step @p180 :rule nary_cong :premises (@p145 @p179) :args ((or @t178 @t43)))
% 0.45/0.67  (step @p181 :rule trans :premises (@p180 @p178))
% 0.45/0.67  (step @p182 :rule bool-impl-elim :args (@t24 @t43))
% 0.45/0.67  (step @p183 :rule trans :premises (@p182 @p181))
% 0.45/0.67  (step @p184 :rule cong :premises (@p183) :args (@t44))
% 0.45/0.67  (step @p185 :rule trans :premises (@p184 @p177))
% 0.45/0.67  (step @p186 :rule cong :premises (@p152 @p185) :args (@t45))
% 0.45/0.67  (step @p187 :rule cong :premises (@p186) :args (@t46))
% 0.45/0.67  (step @p188 :rule trans :premises (@p187 @p174))
% 0.45/0.67  (step @p189 :rule cong :premises (@p188 @p156) :args (@t47))
% 0.45/0.67  (step @p190 :rule beta-reduce :args ((= (_ @t191 @t33) @t155)))
% 0.45/0.67  (step @p191 :rule refl :args (@t33))
% 0.45/0.67  (step @p192 :rule beta-reduce :args ((= (_ @t192 @t3) @t191)))
% 0.45/0.67  (step @p193 :rule refl :args (@t3))
% 0.45/0.67  (step @p194 :rule beta-reduce :args ((= @t193 @t192)))
% 0.45/0.67  (step @p195 :rule ho_cong :premises (@p194 @p193))
% 0.45/0.67  (step @p196 :rule trans :premises (@p195 @p192))
% 0.45/0.67  (step @p197 :rule ho_cong :premises (@p196 @p191))
% 0.45/0.67  (step @p198 :rule trans :premises (@p197 @p190))
% 0.45/0.67  (step @p199 :rule cong :premises (@p198 @p189) :args (@t195))
% 0.45/0.67  (step @p200 :rule cong :premises (@p199) :args (@t196))
% 0.45/0.67  (step @p201 :rule trans :premises (@p200 @p79))
% 0.45/0.67  (step @p202 :rule beta-reduce :args ((= (_ @t191 @t34) @t151)))
% 0.45/0.67  (step @p203 :rule refl :args (@t34))
% 0.45/0.67  (step @p204 :rule ho_cong :premises (@p196 @p203))
% 0.45/0.67  (step @p205 :rule trans :premises (@p204 @p202))
% 0.45/0.67  (step @p206 :rule cong :premises (@p205 @p201) :args (@t198))
% 0.45/0.67  (step @p207 :rule cong :premises (@p206) :args (@t199))
% 0.45/0.67  (step @p208 :rule trans :premises (@p207 @p47))
% 0.45/0.67  (step @p209 :rule refl :args (tptp.eqbreln))
% 0.45/0.67  (step @p210 :rule cong :premises (@p209 @p208) :args ((= tptp.eqbreln @t199)))
% 0.45/0.67  (step @p211 :rule refl :args (@t47))
% 0.45/0.67  (step @p212 :rule refl :args (@t4))
% 0.45/0.67  (step @p213 :rule ho_cong :premises (@p8 @p212))
% 0.45/0.67  (step @p214 :rule ho_cong :premises (@p213 @p193))
% 0.45/0.67  (step @p215 :rule ho_cong :premises (@p214 @p191))
% 0.45/0.67  (step @p216 :rule cong :premises (@p215 @p211) :args (@t49))
% 0.45/0.67  (step @p217 :rule cong :premises (@p216) :args (@t51))
% 0.45/0.67  (step @p218 :rule ho_cong :premises (@p214 @p203))
% 0.45/0.67  (step @p219 :rule cong :premises (@p218 @p217) :args (@t53))
% 0.45/0.67  (step @p220 :rule cong :premises (@p219) :args (@t55))
% 0.45/0.67  (step @p221 :rule cong :premises (@p209 @p220) :args (@t56))
% 0.45/0.67  (step @p222 :rule trans :premises (@p221 @p210))
% 0.45/0.67  (step @p223 :rule eq_resolve :premises (@p3 @p222))
% 0.45/0.67  (step @p224 :rule cong :premises (@p223 @p10) :args (@t200))
% 0.45/0.67  (step @p225 :rule eq-symm :args (@t202 @t203))
% 0.45/0.67  (step @p226 :rule refl :args (@t204))
% 0.45/0.67  (step @p227 :rule refl :args (@t205))
% 0.45/0.67  (step @p228 :rule refl :args (@t206))
% 0.45/0.67  (step @p229 :rule refl :args (@t110))
% 0.45/0.67  (step @p230 :rule refl :args (@t112))
% 0.45/0.67  (step @p231 :rule nary_cong :premises (@p230 @p229 @p228 @p227 @p226 @p225) :args (@t208))
% 0.45/0.67  (step @p232 :rule aci_norm :args ((= @t210 @t208)))
% 0.45/0.67  (step @p233 :rule trans :premises (@p232 @p231))
% 0.45/0.67  (step @p234 :rule cong :premises (@p233) :args (@t211))
% 0.45/0.67  (step @p235 :rule quant-merge-prenex :args ((= (forall @t16 @t213) @t211)))
% 0.45/0.67  (step @p236 :rule alpha_equiv :args (@t214 (@list @t201 @t203) (@list @t2 @t215)))
% 0.45/0.67  (step @p237 :rule refl :args (@t110))
% 0.45/0.67  (step @p238 :rule refl :args (@t112))
% 0.45/0.67  (step @p239 :rule nary_cong :premises (@p238 @p237 @p236) :args (@t216))
% 0.45/0.67  (step @p240 :rule quant-miniscope-or :args ((= @t213 @t216)))
% 0.45/0.67  (step @p241 :rule trans :premises (@p240 @p239))
% 0.45/0.67  (step @p242 :rule symm :premises (@p241))
% 0.45/0.67  (step @p243 :rule cong :premises (@p242) :args ((forall @t16 (or @t112 @t110 @t220))))
% 0.45/0.67  (step @p244 :rule trans :premises (@p243 @p235))
% 0.45/0.67  (step @p245 :rule trans :premises (@p244 @p234))
% 0.45/0.67  (step @p246 :rule refl :args (@t220))
% 0.45/0.67  (step @p247 :rule refl :args ((tptp.subset @t1 @t84)))
% 0.45/0.67  (step @p248 :rule refl :args (@t1))
% 0.45/0.67  (step @p249 :rule cong :premises (@p248 @p25) :args (@t111))
% 0.45/0.67  (step @p250 :rule trans :premises (@p249 @p247))
% 0.45/0.67  (step @p251 :rule refl :args (@t221))
% 0.45/0.67  (step @p252 :rule ho_cong :premises (@p251 @p25))
% 0.45/0.67  (step @p253 :rule cong :premises (@p252 @p250) :args ((= (_ @t221 @t105) @t111)))
% 0.45/0.67  (step @p254 :rule symm :premises (@p253))
% 0.45/0.67  (step @p255 :rule refl :args (@t222))
% 0.45/0.67  (step @p256 :rule eq_resolve :premises (@p255 @p254))
% 0.45/0.67  (step @p257 :rule ho_cong :premises (@p251 @p38))
% 0.45/0.67  (step @p258 :rule trans :premises (@p257 @p256))
% 0.45/0.67  (step @p259 :rule cong :premises (@p258) :args (@t223))
% 0.45/0.67  (step @p260 :rule nary_cong :premises (@p259 @p237 @p246) :args (@t224))
% 0.45/0.67  (step @p261 :rule cong :premises (@p260) :args ((forall @t16 @t224)))
% 0.45/0.67  (step @p262 :rule trans :premises (@p261 @p245))
% 0.45/0.67  (step @p263 :rule aci_norm :args ((= (or @t225 @t220) @t224)))
% 0.45/0.67  (step @p264 :rule bool-and-de-morgan :args (@t222 @t109 true))
% 0.45/0.67  (step @p265 :rule nary_cong :premises (@p264 @p246) :args ((or @t227 @t220)))
% 0.45/0.67  (step @p266 :rule trans :premises (@p265 @p263))
% 0.45/0.67  (step @p267 :rule bool-impl-elim :args (@t226 @t220))
% 0.45/0.67  (step @p268 :rule trans :premises (@p267 @p266))
% 0.45/0.67  (step @p269 :rule cong :premises (@p268) :args ((forall @t16 (=> @t226 @t220))))
% 0.45/0.67  (step @p270 :rule trans :premises (@p269 @p262))
% 0.45/0.67  (step @p271 :rule eq-symm :args (@t215 @t95))
% 0.45/0.67  (step @p272 :rule refl :args (@t217))
% 0.45/0.67  (step @p273 :rule refl :args (@t218))
% 0.45/0.67  (step @p274 :rule refl :args (@t97))
% 0.45/0.67  (step @p275 :rule nary_cong :premises (@p274 @p273 @p272 @p271) :args (@t229))
% 0.45/0.67  (step @p276 :rule aci_norm :args ((= @t231 @t229)))
% 0.45/0.67  (step @p277 :rule trans :premises (@p276 @p275))
% 0.45/0.67  (step @p278 :rule cong :premises (@p277) :args (@t232))
% 0.45/0.67  (step @p279 :rule quant-merge-prenex :args ((= (forall @t11 @t234) @t232)))
% 0.45/0.67  (step @p280 :rule alpha_equiv :args (@t235 (@list @t215) @t167))
% 0.45/0.67  (step @p281 :rule nary_cong :premises (@p85 @p280) :args (@t236))
% 0.45/0.67  (step @p282 :rule quant-miniscope-or :args ((= @t234 @t236)))
% 0.45/0.67  (step @p283 :rule trans :premises (@p282 @p281))
% 0.45/0.67  (step @p284 :rule symm :premises (@p283))
% 0.45/0.67  (step @p285 :rule cong :premises (@p284) :args ((forall @t11 (or @t97 @t237))))
% 0.45/0.67  (step @p286 :rule trans :premises (@p285 @p279))
% 0.45/0.67  (step @p287 :rule trans :premises (@p286 @p278))
% 0.45/0.67  (step @p288 :rule refl :args (@t237))
% 0.45/0.67  (step @p289 :rule nary_cong :premises (@p99 @p288) :args (@t238))
% 0.45/0.67  (step @p290 :rule cong :premises (@p289) :args ((forall @t11 @t238)))
% 0.45/0.67  (step @p291 :rule trans :premises (@p290 @p287))
% 0.45/0.67  (step @p292 :rule bool-impl-elim :args (@t10 @t237))
% 0.45/0.67  (step @p293 :rule cong :premises (@p292) :args ((forall @t11 (=> @t10 @t237))))
% 0.45/0.67  (step @p294 :rule trans :premises (@p293 @p291))
% 0.45/0.67  (step @p295 :rule refl :args (@t95))
% 0.45/0.67  (step @p296 :rule refl :args (@t6))
% 0.45/0.67  (step @p297 :rule cong :premises (@p296 @p295) :args ((= @t6 @t95)))
% 0.45/0.67  (step @p298 :rule symm :premises (@p297))
% 0.45/0.67  (step @p299 :rule eq_resolve :premises (@p296 @p298))
% 0.45/0.67  (step @p300 :rule refl :args (@t19))
% 0.45/0.67  (step @p301 :rule cong :premises (@p300 @p299) :args (@t239))
% 0.45/0.67  (step @p302 :rule refl :args ((tptp.in @t20 @t1)))
% 0.45/0.67  (step @p303 :rule cong :premises (@p107 @p248) :args (@t107))
% 0.45/0.67  (step @p304 :rule trans :premises (@p303 @p302))
% 0.45/0.67  (step @p305 :rule ho_cong :premises (@p111 @p248))
% 0.45/0.67  (step @p306 :rule cong :premises (@p305 @p304) :args ((= (_ @t176 @t1) @t107)))
% 0.45/0.67  (step @p307 :rule symm :premises (@p306))
% 0.45/0.67  (step @p308 :rule refl :args (@t22))
% 0.45/0.67  (step @p309 :rule eq_resolve :premises (@p308 @p307))
% 0.45/0.67  (step @p310 :rule ho_cong :premises (@p121 @p248))
% 0.45/0.67  (step @p311 :rule trans :premises (@p310 @p309))
% 0.45/0.67  (step @p312 :rule cong :premises (@p311) :args (@t240))
% 0.45/0.67  (step @p313 :rule nary_cong :premises (@p140 @p312 @p301) :args (@t241))
% 0.45/0.67  (step @p314 :rule cong :premises (@p313) :args ((forall @t26 @t241)))
% 0.45/0.67  (step @p315 :rule aci_norm :args ((= (or @t178 (or @t240 @t239)) @t241)))
% 0.45/0.67  (step @p316 :rule bool-impl-elim :args (@t22 @t239))
% 0.45/0.67  (step @p317 :rule nary_cong :premises (@p145 @p316) :args ((or @t178 @t242)))
% 0.45/0.67  (step @p318 :rule trans :premises (@p317 @p315))
% 0.45/0.67  (step @p319 :rule bool-impl-elim :args (@t24 @t242))
% 0.45/0.67  (step @p320 :rule trans :premises (@p319 @p318))
% 0.45/0.67  (step @p321 :rule cong :premises (@p320) :args ((forall @t26 (=> @t24 @t242))))
% 0.45/0.67  (step @p322 :rule trans :premises (@p321 @p314))
% 0.45/0.67  (step @p323 :rule eq-symm :args (@t6 @t19))
% 0.45/0.67  (step @p324 :rule refl :args (@t22))
% 0.45/0.67  (step @p325 :rule cong :premises (@p324 @p323) :args (@t23))
% 0.45/0.67  (step @p326 :rule refl :args (@t24))
% 0.45/0.67  (step @p327 :rule cong :premises (@p326 @p325) :args (@t25))
% 0.45/0.67  (step @p328 :rule cong :premises (@p327) :args (@t27))
% 0.45/0.67  (step @p329 :rule trans :premises (@p328 @p322))
% 0.45/0.67  (step @p330 :rule cong :premises (@p152 @p329) :args (@t28))
% 0.45/0.67  (step @p331 :rule cong :premises (@p330) :args (@t29))
% 0.45/0.67  (step @p332 :rule trans :premises (@p331 @p294))
% 0.45/0.67  (step @p333 :rule beta-reduce :args ((= (_ @t246 @t1) @t226)))
% 0.45/0.67  (step @p334 :rule refl :args (@t1))
% 0.45/0.67  (step @p335 :rule beta-reduce :args ((= (_ @t247 @t3) @t246)))
% 0.45/0.67  (step @p336 :rule beta-reduce :args ((= @t248 @t247)))
% 0.45/0.67  (step @p337 :rule ho_cong :premises (@p336 @p193))
% 0.45/0.67  (step @p338 :rule trans :premises (@p337 @p335))
% 0.45/0.67  (step @p339 :rule ho_cong :premises (@p338 @p334))
% 0.45/0.67  (step @p340 :rule trans :premises (@p339 @p333))
% 0.45/0.67  (step @p341 :rule cong :premises (@p340 @p332) :args (@t251))
% 0.45/0.67  (step @p342 :rule cong :premises (@p341) :args (@t252))
% 0.45/0.67  (step @p343 :rule trans :premises (@p342 @p270))
% 0.45/0.67  (step @p344 :rule refl :args (tptp.funcGraphProp2))
% 0.45/0.67  (step @p345 :rule cong :premises (@p344 @p343) :args ((= tptp.funcGraphProp2 @t252)))
% 0.45/0.67  (step @p346 :rule refl :args (@t29))
% 0.45/0.67  (step @p347 :rule refl :args (@t244))
% 0.45/0.67  (step @p348 :rule nary_cong :premises (@p99 @p347) :args (@t253))
% 0.45/0.67  (step @p349 :rule cong :premises (@p348) :args ((forall @t11 @t253)))
% 0.45/0.67  (step @p350 :rule bool-impl-elim :args (@t10 @t244))
% 0.45/0.67  (step @p351 :rule cong :premises (@p350) :args ((forall @t11 (=> @t10 @t244))))
% 0.45/0.67  (step @p352 :rule trans :premises (@p351 @p349))
% 0.45/0.67  (step @p353 :rule cong :premises (@p123) :args (@t88))
% 0.45/0.67  (step @p354 :rule refl :args (@t3))
% 0.45/0.67  (step @p355 :rule cong :premises (@p354 @p353) :args (@t254))
% 0.45/0.67  (step @p356 :rule refl :args (@t102))
% 0.45/0.67  (step @p357 :rule cong :premises (@p356 @p355) :args (@t255))
% 0.45/0.67  (step @p358 :rule cong :premises (@p357) :args (@t256))
% 0.45/0.67  (step @p359 :rule refl :args (@t101))
% 0.45/0.67  (step @p360 :rule cong :premises (@p359 @p355) :args (@t257))
% 0.45/0.67  (step @p361 :rule cong :premises (@p360) :args (@t258))
% 0.45/0.67  (step @p362 :rule nary_cong :premises (@p361 @p358) :args (@t259))
% 0.45/0.67  (step @p363 :rule cong :premises (@p362) :args ((forall @t103 @t259)))
% 0.45/0.67  (step @p364 :rule eq-symm :args (@t254 @t102))
% 0.45/0.67  (step @p365 :rule cong :premises (@p364) :args (@t260))
% 0.45/0.67  (step @p366 :rule refl :args (@t258))
% 0.45/0.67  (step @p367 :rule nary_cong :premises (@p366 @p365) :args (@t261))
% 0.45/0.67  (step @p368 :rule cong :premises (@p367) :args (@t262))
% 0.45/0.67  (step @p369 :rule trans :premises (@p368 @p363))
% 0.45/0.67  (step @p370 :rule cong :premises (@p369) :args (@t263))
% 0.45/0.67  (step @p371 :rule beta-reduce :args ((= (_ (lambda @t266 (not (forall @t103 (or @t265 (not (= @t264 @t102)))))) @t88) @t263)))
% 0.45/0.67  (step @p372 :rule trans :premises (@p371 @p370))
% 0.45/0.67  (step @p373 :rule refl :args (@t88))
% 0.45/0.67  (step @p374 :rule eq-symm :args (@t102 @t264))
% 0.45/0.67  (step @p375 :rule cong :premises (@p374) :args (@t267))
% 0.45/0.67  (step @p376 :rule refl :args (@t265))
% 0.45/0.67  (step @p377 :rule nary_cong :premises (@p376 @p375) :args (@t268))
% 0.45/0.67  (step @p378 :rule cong :premises (@p377) :args (@t269))
% 0.45/0.67  (step @p379 :rule cong :premises (@p378) :args (@t270))
% 0.45/0.67  (step @p380 :rule cong :premises (@p379) :args ((lambda @t266 @t270)))
% 0.45/0.67  (step @p381 :rule ho_cong :premises (@p380 @p373))
% 0.45/0.67  (step @p382 :rule trans :premises (@p381 @p372))
% 0.45/0.67  (step @p383 :rule refl :args (@t88))
% 0.45/0.67  (step @p384 :rule alpha_equiv :args (@t272 @t273 (@list @t101)))
% 0.45/0.67  (step @p385 :rule cong :premises (@p384) :args (@t274))
% 0.45/0.67  (step @p386 :rule cong :premises (@p385) :args (@t275))
% 0.45/0.67  (step @p387 :rule ho_cong :premises (@p386 @p383))
% 0.45/0.67  (step @p388 :rule trans :premises (@p387 @p382))
% 0.45/0.67  (step @p389 :rule beta-reduce :args ((= @t277 @t275)))
% 0.45/0.67  (step @p390 :rule ho_cong :premises (@p389 @p373))
% 0.45/0.67  (step @p391 :rule trans :premises (@p390 @p388))
% 0.45/0.67  (step @p392 :rule cong :premises (@p152 @p391) :args (@t278))
% 0.45/0.67  (step @p393 :rule cong :premises (@p392) :args (@t279))
% 0.45/0.67  (step @p394 :rule trans :premises (@p393 @p352))
% 0.45/0.67  (step @p395 :rule nary_cong :premises (@p205 @p394) :args ((and @t197 @t279)))
% 0.45/0.67  (step @p396 :rule lambda-elim :args ((= @t283 @t78)))
% 0.45/0.67  (step @p397 :rule cong :premises (@p212 @p396) :args (@t284))
% 0.45/0.67  (step @p398 :rule refl :args (@t271))
% 0.45/0.67  (step @p399 :rule cong :premises (@p398 @p397) :args (@t285))
% 0.45/0.67  (step @p400 :rule cong :premises (@p399) :args (@t286))
% 0.45/0.67  (step @p401 :rule refl :args (@t2))
% 0.45/0.67  (step @p402 :rule cong :premises (@p401 @p397) :args (@t287))
% 0.45/0.67  (step @p403 :rule cong :premises (@p402) :args (@t288))
% 0.45/0.67  (step @p404 :rule nary_cong :premises (@p403 @p400) :args (@t289))
% 0.45/0.67  (step @p405 :rule cong :premises (@p404) :args ((forall @t11 @t289)))
% 0.45/0.67  (step @p406 :rule refl :args ((tptp.dsetconstr @t4 @t291)))
% 0.45/0.67  (step @p407 :rule refl :args (@t281))
% 0.45/0.67  (step @p408 :rule cong :premises (@p407) :args (@t283))
% 0.45/0.67  (step @p409 :rule refl :args (@t4))
% 0.45/0.67  (step @p410 :rule cong :premises (@p409 @p408) :args (@t284))
% 0.45/0.67  (step @p411 :rule trans :premises (@p410 @p406))
% 0.45/0.67  (step @p412 :rule refl :args (@t80))
% 0.45/0.67  (step @p413 :rule ho_cong :premises (@p412 @p408))
% 0.45/0.67  (step @p414 :rule cong :premises (@p413 @p411) :args ((= (_ @t80 @t283) @t284)))
% 0.45/0.67  (step @p415 :rule symm :premises (@p414))
% 0.45/0.67  (step @p416 :rule refl :args (@t292))
% 0.45/0.67  (step @p417 :rule eq_resolve :premises (@p416 @p415))
% 0.45/0.67  (step @p418 :rule refl :args (@t290))
% 0.45/0.67  (step @p419 :rule cong :premises (@p418 @p407) :args ((= @t290 @t281)))
% 0.45/0.67  (step @p420 :rule symm :premises (@p419))
% 0.45/0.67  (step @p421 :rule eq_resolve :premises (@p418 @p420))
% 0.45/0.67  (step @p422 :rule cong :premises (@p421) :args (@t291))
% 0.45/0.67  (step @p423 :rule ho_cong :premises (@p412 @p422))
% 0.45/0.67  (step @p424 :rule trans :premises (@p423 @p417))
% 0.45/0.67  (step @p425 :rule refl :args (@t271))
% 0.45/0.67  (step @p426 :rule cong :premises (@p425 @p424) :args (@t293))
% 0.45/0.67  (step @p427 :rule cong :premises (@p426) :args (@t294))
% 0.45/0.67  (step @p428 :rule refl :args (@t2))
% 0.45/0.67  (step @p429 :rule cong :premises (@p428 @p424) :args (@t295))
% 0.45/0.67  (step @p430 :rule cong :premises (@p429) :args (@t296))
% 0.45/0.67  (step @p431 :rule nary_cong :premises (@p430 @p427) :args (@t297))
% 0.45/0.67  (step @p432 :rule cong :premises (@p431) :args ((forall @t11 @t297)))
% 0.45/0.67  (step @p433 :rule trans :premises (@p432 @p405))
% 0.45/0.67  (step @p434 :rule alpha_equiv :args (@t79 @t273 (@list @t280)))
% 0.45/0.67  (step @p435 :rule ho_cong :premises (@p412 @p434))
% 0.45/0.67  (step @p436 :rule cong :premises (@p425 @p435) :args (@t298))
% 0.45/0.67  (step @p437 :rule cong :premises (@p436) :args (@t299))
% 0.45/0.67  (step @p438 :rule cong :premises (@p428 @p435) :args (@t300))
% 0.45/0.67  (step @p439 :rule cong :premises (@p438) :args (@t301))
% 0.45/0.67  (step @p440 :rule nary_cong :premises (@p439 @p437) :args (@t302))
% 0.45/0.67  (step @p441 :rule cong :premises (@p440) :args ((forall @t11 @t302)))
% 0.45/0.67  (step @p442 :rule trans :premises (@p441 @p433))
% 0.45/0.67  (step @p443 :rule eq-symm :args (@t81 @t271))
% 0.45/0.67  (step @p444 :rule cong :premises (@p443) :args (@t303))
% 0.45/0.67  (step @p445 :rule refl :args (@t301))
% 0.45/0.67  (step @p446 :rule nary_cong :premises (@p445 @p444) :args (@t304))
% 0.45/0.67  (step @p447 :rule cong :premises (@p446) :args (@t305))
% 0.45/0.67  (step @p448 :rule trans :premises (@p447 @p442))
% 0.45/0.67  (step @p449 :rule cong :premises (@p448) :args (@t306))
% 0.45/0.67  (step @p450 :rule beta-reduce :args ((= (_ (lambda @t76 (not (forall @t11 (or @t97 (not (= @t4 @t271)))))) @t81) @t306)))
% 0.45/0.67  (step @p451 :rule trans :premises (@p450 @p449))
% 0.45/0.67  (step @p452 :rule refl :args (@t81))
% 0.45/0.67  (step @p453 :rule refl :args (@t271))
% 0.45/0.67  (step @p454 :rule refl :args (@t72))
% 0.45/0.67  (step @p455 :rule cong :premises (@p454 @p453) :args ((= @t72 @t271)))
% 0.45/0.67  (step @p456 :rule symm :premises (@p455))
% 0.45/0.67  (step @p457 :rule eq_resolve :premises (@p454 @p456))
% 0.45/0.67  (step @p458 :rule cong :premises (@p409 @p457) :args (@t73))
% 0.45/0.67  (step @p459 :rule cong :premises (@p458) :args (@t307))
% 0.45/0.67  (step @p460 :rule nary_cong :premises (@p99 @p459) :args (@t308))
% 0.45/0.67  (step @p461 :rule cong :premises (@p460) :args ((forall @t11 @t308)))
% 0.45/0.67  (step @p462 :rule bool-and-de-morgan :args (@t10 @t73 true))
% 0.45/0.67  (step @p463 :rule cong :premises (@p462) :args (@t309))
% 0.45/0.67  (step @p464 :rule trans :premises (@p463 @p461))
% 0.45/0.67  (step @p465 :rule cong :premises (@p464) :args (@t310))
% 0.45/0.67  (step @p466 :rule exists-elim :args ((= @t75 @t310)))
% 0.45/0.67  (step @p467 :rule trans :premises (@p466 @p465))
% 0.45/0.67  (step @p468 :rule cong :premises (@p467) :args (@t77))
% 0.45/0.67  (step @p469 :rule trans :premises (@p6 @p468))
% 0.45/0.67  (step @p470 :rule ho_cong :premises (@p469 @p452))
% 0.45/0.67  (step @p471 :rule trans :premises (@p470 @p451))
% 0.45/0.67  (step @p472 :rule cong :premises (@p471) :args (@t83))
% 0.45/0.67  (step @p473 :rule trans :premises (@p7 @p472))
% 0.45/0.67  (step @p474 :rule ho_cong :premises (@p473 @p193))
% 0.45/0.67  (step @p475 :rule ho_cong :premises (@p474 @p373))
% 0.45/0.67  (step @p476 :rule cong :premises (@p152 @p475) :args (@t89))
% 0.45/0.67  (step @p477 :rule cong :premises (@p476) :args (@t90))
% 0.45/0.67  (step @p478 :rule nary_cong :premises (@p218 @p477) :args (@t91))
% 0.45/0.67  (step @p479 :rule trans :premises (@p478 @p395))
% 0.45/0.67  (step @p480 :rule cong :premises (@p479) :args (@t92))
% 0.45/0.67  (step @p481 :rule trans :premises (@p9 @p480))
% 0.45/0.67  (step @p482 :rule ho_cong :premises (@p481 @p212))
% 0.45/0.67  (step @p483 :rule ho_cong :premises (@p482 @p193))
% 0.45/0.67  (step @p484 :rule ho_cong :premises (@p483 @p334))
% 0.45/0.67  (step @p485 :rule cong :premises (@p484 @p346) :args (@t30))
% 0.45/0.67  (step @p486 :rule cong :premises (@p485) :args (@t31))
% 0.45/0.67  (step @p487 :rule cong :premises (@p344 @p486) :args (@t32))
% 0.45/0.67  (step @p488 :rule trans :premises (@p487 @p345))
% 0.45/0.67  (step @p489 :rule eq_resolve :premises (@p2 @p488))
% 0.45/0.67  (step @p490 :rule cong :premises (@p489 @p224) :args (@t311))
% 0.45/0.67  (step @p491 :rule aci_norm :args ((= @t316 (or @t112 @t110 @t314 @t313))))
% 0.45/0.67  (step @p492 :rule cong :premises (@p491) :args (@t317))
% 0.45/0.67  (step @p493 :rule quant-merge-prenex :args ((= (forall @t16 @t319) @t317)))
% 0.45/0.67  (step @p494 :rule alpha_equiv :args (@t320 (@list @t312) @t273))
% 0.45/0.67  (step @p495 :rule nary_cong :premises (@p238 @p237 @p494) :args (@t321))
% 0.45/0.67  (step @p496 :rule quant-miniscope-or :args ((= @t319 @t321)))
% 0.45/0.67  (step @p497 :rule trans :premises (@p496 @p495))
% 0.45/0.67  (step @p498 :rule symm :premises (@p497))
% 0.45/0.67  (step @p499 :rule cong :premises (@p498) :args ((forall @t16 (or @t112 @t110 @t324))))
% 0.45/0.67  (step @p500 :rule trans :premises (@p499 @p493))
% 0.45/0.67  (step @p501 :rule trans :premises (@p500 @p492))
% 0.45/0.67  (step @p502 :rule refl :args (@t324))
% 0.45/0.67  (step @p503 :rule nary_cong :premises (@p259 @p237 @p502) :args (@t325))
% 0.45/0.67  (step @p504 :rule cong :premises (@p503) :args ((forall @t16 @t325)))
% 0.45/0.67  (step @p505 :rule trans :premises (@p504 @p501))
% 0.45/0.67  (step @p506 :rule aci_norm :args ((= (or @t225 @t324) @t325)))
% 0.45/0.67  (step @p507 :rule nary_cong :premises (@p264 @p502) :args ((or @t227 @t324)))
% 0.45/0.67  (step @p508 :rule trans :premises (@p507 @p506))
% 0.45/0.67  (step @p509 :rule bool-impl-elim :args (@t226 @t324))
% 0.45/0.67  (step @p510 :rule trans :premises (@p509 @p508))
% 0.45/0.67  (step @p511 :rule cong :premises (@p510) :args ((forall @t16 (=> @t226 @t324))))
% 0.45/0.67  (step @p512 :rule trans :premises (@p511 @p505))
% 0.45/0.67  (step @p513 :rule refl :args ((tptp.in @t8 @t1)))
% 0.45/0.67  (step @p514 :rule refl :args ((tptp.kpair @t2 @t6)))
% 0.45/0.67  (step @p515 :rule cong :premises (@p428 @p295) :args (@t322))
% 0.45/0.67  (step @p516 :rule trans :premises (@p515 @p514))
% 0.45/0.67  (step @p517 :rule cong :premises (@p516 @p248) :args (@t323))
% 0.45/0.67  (step @p518 :rule trans :premises (@p517 @p513))
% 0.45/0.67  (step @p519 :rule ho_cong :premises (@p110 @p516))
% 0.45/0.67  (step @p520 :rule ho_cong :premises (@p519 @p248))
% 0.45/0.67  (step @p521 :rule cong :premises (@p520 @p518) :args ((= (_ (_ tptp.in @t322) @t1) @t323)))
% 0.45/0.67  (step @p522 :rule symm :premises (@p521))
% 0.45/0.67  (step @p523 :rule refl :args (@t9))
% 0.45/0.67  (step @p524 :rule eq_resolve :premises (@p523 @p522))
% 0.45/0.67  (step @p525 :rule refl :args (@t7))
% 0.45/0.67  (step @p526 :rule ho_cong :premises (@p525 @p295))
% 0.45/0.67  (step @p527 :rule cong :premises (@p526 @p516) :args ((= (_ @t7 @t95) @t322)))
% 0.45/0.67  (step @p528 :rule symm :premises (@p527))
% 0.45/0.67  (step @p529 :rule refl :args (@t8))
% 0.45/0.67  (step @p530 :rule eq_resolve :premises (@p529 @p528))
% 0.45/0.67  (step @p531 :rule ho_cong :premises (@p525 @p299))
% 0.45/0.67  (step @p532 :rule trans :premises (@p531 @p530))
% 0.45/0.67  (step @p533 :rule ho_cong :premises (@p110 @p532))
% 0.45/0.67  (step @p534 :rule ho_cong :premises (@p533 @p248))
% 0.45/0.67  (step @p535 :rule trans :premises (@p534 @p524))
% 0.45/0.67  (step @p536 :rule nary_cong :premises (@p99 @p535) :args (@t326))
% 0.45/0.67  (step @p537 :rule cong :premises (@p536) :args ((forall @t11 @t326)))
% 0.45/0.67  (step @p538 :rule bool-impl-elim :args (@t10 @t9))
% 0.45/0.67  (step @p539 :rule cong :premises (@p538) :args (@t12))
% 0.45/0.67  (step @p540 :rule trans :premises (@p539 @p537))
% 0.45/0.67  (step @p541 :rule cong :premises (@p340 @p540) :args (@t327))
% 0.45/0.67  (step @p542 :rule cong :premises (@p541) :args (@t328))
% 0.45/0.67  (step @p543 :rule trans :premises (@p542 @p512))
% 0.45/0.67  (step @p544 :rule refl :args (tptp.funcGraphProp1))
% 0.45/0.67  (step @p545 :rule cong :premises (@p544 @p543) :args ((= tptp.funcGraphProp1 @t328)))
% 0.45/0.67  (step @p546 :rule refl :args (@t12))
% 0.45/0.67  (step @p547 :rule cong :premises (@p484 @p546) :args (@t15))
% 0.45/0.67  (step @p548 :rule cong :premises (@p547) :args (@t17))
% 0.45/0.67  (step @p549 :rule cong :premises (@p544 @p548) :args (@t18))
% 0.45/0.67  (step @p550 :rule trans :premises (@p549 @p545))
% 0.45/0.67  (step @p551 :rule eq_resolve :premises (@p1 @p550))
% 0.45/0.67  (step @p552 :rule cong :premises (@p551 @p490) :args (@t329))
% 0.45/0.67  (step @p553 :rule cong :premises (@p552) :args ((not @t329)))
% 0.45/0.67  (step @p554 :rule aci_norm :args ((= @t331 @t113)))
% 0.45/0.67  (step @p555 :rule cong :premises (@p554) :args (@t332))
% 0.45/0.67  (step @p556 :rule quant-merge-prenex :args ((= (forall @t16 @t334) @t332)))
% 0.45/0.67  (step @p557 :rule alpha_equiv :args (@t335 (@list @t93) (@list @t57)))
% 0.45/0.67  (step @p558 :rule nary_cong :premises (@p238 @p237 @p557) :args (@t336))
% 0.45/0.67  (step @p559 :rule quant-miniscope-or :args ((= @t334 @t336)))
% 0.45/0.67  (step @p560 :rule trans :premises (@p559 @p558))
% 0.45/0.67  (step @p561 :rule symm :premises (@p560))
% 0.45/0.67  (step @p562 :rule cong :premises (@p561) :args ((forall @t16 (or @t112 @t110 @t344))))
% 0.45/0.67  (step @p563 :rule trans :premises (@p562 @p556))
% 0.45/0.67  (step @p564 :rule trans :premises (@p563 @p555))
% 0.45/0.67  (step @p565 :rule refl :args (@t344))
% 0.45/0.67  (step @p566 :rule nary_cong :premises (@p259 @p237 @p565) :args (@t345))
% 0.45/0.67  (step @p567 :rule cong :premises (@p566) :args ((forall @t16 @t345)))
% 0.45/0.67  (step @p568 :rule trans :premises (@p567 @p564))
% 0.45/0.67  (step @p569 :rule aci_norm :args ((= (or @t225 @t344) @t345)))
% 0.45/0.67  (step @p570 :rule nary_cong :premises (@p264 @p565) :args ((or @t227 @t344)))
% 0.45/0.67  (step @p571 :rule trans :premises (@p570 @p569))
% 0.45/0.67  (step @p572 :rule bool-impl-elim :args (@t226 @t344))
% 0.45/0.67  (step @p573 :rule trans :premises (@p572 @p571))
% 0.45/0.67  (step @p574 :rule cong :premises (@p573) :args ((forall @t16 (=> @t226 @t344))))
% 0.45/0.67  (step @p575 :rule trans :premises (@p574 @p568))
% 0.45/0.67  (step @p576 :rule refl :args (@t58))
% 0.45/0.67  (step @p577 :rule refl :args (@t339))
% 0.45/0.67  (step @p578 :rule refl :args (@t342))
% 0.45/0.67  (step @p579 :rule refl :args ((tptp.subset @t57 @t84)))
% 0.45/0.67  (step @p580 :rule refl :args (@t57))
% 0.45/0.67  (step @p581 :rule cong :premises (@p580 @p25) :args (@t343))
% 0.45/0.67  (step @p582 :rule trans :premises (@p581 @p579))
% 0.45/0.67  (step @p583 :rule refl :args (@t346))
% 0.45/0.67  (step @p584 :rule ho_cong :premises (@p583 @p25))
% 0.45/0.67  (step @p585 :rule cong :premises (@p584 @p582) :args ((= (_ @t346 @t105) @t343)))
% 0.45/0.67  (step @p586 :rule symm :premises (@p585))
% 0.45/0.67  (step @p587 :rule refl :args (@t347))
% 0.45/0.67  (step @p588 :rule eq_resolve :premises (@p587 @p586))
% 0.45/0.67  (step @p589 :rule ho_cong :premises (@p583 @p38))
% 0.45/0.67  (step @p590 :rule trans :premises (@p589 @p588))
% 0.45/0.67  (step @p591 :rule cong :premises (@p590) :args (@t348))
% 0.45/0.67  (step @p592 :rule nary_cong :premises (@p591 @p578 @p577 @p576) :args (@t349))
% 0.45/0.67  (step @p593 :rule cong :premises (@p592) :args ((forall @t64 @t349)))
% 0.45/0.67  (step @p594 :rule aci_norm :args ((= (or (or @t348 @t342) (or @t339 @t58)) @t349)))
% 0.45/0.67  (step @p595 :rule bool-impl-elim :args (@t338 @t58))
% 0.45/0.67  (step @p596 :rule bool-and-de-morgan :args (@t347 @t341 true))
% 0.45/0.67  (step @p597 :rule nary_cong :premises (@p596 @p595) :args ((or (not @t351) @t350)))
% 0.45/0.67  (step @p598 :rule trans :premises (@p597 @p594))
% 0.45/0.67  (step @p599 :rule bool-impl-elim :args (@t351 @t350))
% 0.45/0.67  (step @p600 :rule trans :premises (@p599 @p598))
% 0.45/0.67  (step @p601 :rule cong :premises (@p600) :args ((forall @t64 (=> @t351 @t350))))
% 0.45/0.67  (step @p602 :rule trans :premises (@p601 @p593))
% 0.45/0.67  (step @p603 :rule refl :args (@t58))
% 0.45/0.67  (step @p604 :rule refl :args (@t337))
% 0.45/0.67  (step @p605 :rule refl :args (@t59))
% 0.45/0.67  (step @p606 :rule cong :premises (@p605 @p604) :args ((= @t59 @t337)))
% 0.45/0.67  (step @p607 :rule symm :premises (@p606))
% 0.45/0.67  (step @p608 :rule eq_resolve :premises (@p605 @p607))
% 0.45/0.67  (step @p609 :rule cong :premises (@p299 @p608) :args (@t60))
% 0.45/0.67  (step @p610 :rule nary_cong :premises (@p99 @p609) :args (@t352))
% 0.45/0.67  (step @p611 :rule cong :premises (@p610) :args ((forall @t11 @t352)))
% 0.45/0.67  (step @p612 :rule bool-impl-elim :args (@t10 @t60))
% 0.45/0.67  (step @p613 :rule cong :premises (@p612) :args (@t61))
% 0.45/0.67  (step @p614 :rule trans :premises (@p613 @p611))
% 0.45/0.67  (step @p615 :rule cong :premises (@p614 @p603) :args (@t62))
% 0.45/0.67  (step @p616 :rule beta-reduce :args ((= (_ @t246 @t57) @t351)))
% 0.45/0.67  (step @p617 :rule refl :args (@t57))
% 0.45/0.67  (step @p618 :rule ho_cong :premises (@p338 @p617))
% 0.45/0.67  (step @p619 :rule trans :premises (@p618 @p616))
% 0.45/0.67  (step @p620 :rule cong :premises (@p619 @p615) :args (@t353))
% 0.45/0.67  (step @p621 :rule cong :premises (@p620) :args (@t354))
% 0.45/0.67  (step @p622 :rule trans :premises (@p621 @p602))
% 0.45/0.67  (step @p623 :rule cong :premises (@p340 @p622) :args (@t355))
% 0.45/0.67  (step @p624 :rule cong :premises (@p623) :args (@t356))
% 0.45/0.67  (step @p625 :rule trans :premises (@p624 @p575))
% 0.45/0.67  (step @p626 :rule cong :premises (@p209 @p625) :args (@t357))
% 0.45/0.67  (step @p627 :rule cong :premises (@p344 @p626) :args (@t358))
% 0.45/0.67  (step @p628 :rule cong :premises (@p544 @p627) :args (@t359))
% 0.45/0.67  (step @p629 :rule cong :premises (@p628) :args ((not @t359)))
% 0.45/0.67  (step @p630 :rule refl :args (@t62))
% 0.45/0.67  (step @p631 :rule ho_cong :premises (@p483 @p617))
% 0.45/0.67  (step @p632 :rule cong :premises (@p631 @p630) :args (@t63))
% 0.45/0.67  (step @p633 :rule cong :premises (@p632) :args (@t65))
% 0.45/0.67  (step @p634 :rule cong :premises (@p484 @p633) :args (@t66))
% 0.45/0.67  (step @p635 :rule cong :premises (@p634) :args (@t67))
% 0.45/0.67  (step @p636 :rule cong :premises (@p209 @p635) :args (@t68))
% 0.45/0.67  (step @p637 :rule cong :premises (@p344 @p636) :args (@t69))
% 0.45/0.67  (step @p638 :rule cong :premises (@p544 @p637) :args (@t70))
% 0.45/0.67  (step @p639 :rule cong :premises (@p638) :args (@t71))
% 0.45/0.67  (step @p640 :rule trans :premises (@p639 @p629))
% 0.45/0.67  (step @p641 :rule trans :premises (@p640 @p553))
% 0.45/0.67  (step @p642 :rule eq_resolve :premises (@p4 @p641))
% 0.45/0.67  (step @p643 :rule not_implies_elim2 :premises (@p642))
% 0.45/0.67  (step @p644 :rule not_implies_elim2 :premises (@p643))
% 0.45/0.67  (step @p645 :rule not_implies_elim1 :premises (@p644))
% 0.45/0.67  (step @p646 :rule instantiate :premises (@p645) :args ((@list @t363 @t362 @t361 @t360)))
% 0.45/0.67  (step @p647 :rule bool-double-not-elim :args (@t367))
% 0.45/0.67  (step @p648 :rule refl :args (@t376))
% 0.45/0.67  (step @p649 :rule nary_cong :premises (@p648 @p647) :args ((or @t376 (not @t375))))
% 0.45/0.67  (step @p650 :rule cnf_or_neg :args (@t376 0))
% 0.45/0.67  (step @p651 :rule eq_resolve :premises (@p650 @p649))
% 0.45/0.67  (step @p652 :rule reordering :premises (@p651) :args ((or @t367 @t376)))
% 0.45/0.67  (step @p653 :rule bool-double-not-elim :args (@t373))
% 0.45/0.67  (step @p654 :rule nary_cong :premises (@p648 @p653) :args ((or @t376 (not @t374))))
% 0.45/0.67  (step @p655 :rule cnf_or_neg :args (@t376 1))
% 0.45/0.67  (step @p656 :rule eq_resolve :premises (@p655 @p654))
% 0.45/0.67  (step @p657 :rule reordering :premises (@p656) :args ((or @t373 @t376)))
% 0.45/0.67  (step @p658 :rule bool-double-not-elim :args (@t371))
% 0.45/0.67  (step @p659 :rule nary_cong :premises (@p648 @p658) :args ((or @t376 (not @t372))))
% 0.45/0.67  (step @p660 :rule cnf_or_neg :args (@t376 2))
% 0.45/0.67  (step @p661 :rule eq_resolve :premises (@p660 @p659))
% 0.45/0.67  (step @p662 :rule reordering :premises (@p661) :args ((or @t371 @t376)))
% 0.45/0.67  (step @p663 :rule cnf_or_neg :args (@t376 3))
% 0.45/0.67  (step @p664 :rule not_implies_elim2 :premises (@p644))
% 0.45/0.67  (step @p665 :rule skolemize :premises (@p664))
% 0.45/0.67  (step @p666 :rule bool-double-not-elim :args (@t377))
% 0.45/0.67  (step @p667 :rule refl :args (@t391))
% 0.45/0.67  (step @p668 :rule nary_cong :premises (@p667 @p666) :args ((or @t391 (not @t379))))
% 0.45/0.67  (step @p669 :rule cnf_or_neg :args (@t391 4))
% 0.45/0.67  (step @p670 :rule eq_resolve :premises (@p669 @p668))
% 0.45/0.67  (step @p671 :rule reordering :premises (@p670) :args ((or @t377 @t391)))
% 0.45/0.67  (step @p672 :rule chain_m_resolution :premises (@p671 @p665) :args (@t377 @t392 @t393))
% 0.45/0.67  (step @p673 :rule instantiate :premises (@p672) :args ((@list @t366)))
% 0.45/0.67  (step @p674 :rule cnf_or_pos :args (@t397))
% 0.45/0.67  (step @p675 :rule reordering :premises (@p674) :args ((or @t375 @t396 (not @t397))))
% 0.45/0.67  (step @p676 :rule bool-double-not-elim :args (@t384))
% 0.45/0.67  (step @p677 :rule nary_cong :premises (@p667 @p676) :args ((or @t391 (not @t385))))
% 0.45/0.67  (step @p678 :rule cnf_or_neg :args (@t391 2))
% 0.45/0.67  (step @p679 :rule eq_resolve :premises (@p678 @p677))
% 0.45/0.67  (step @p680 :rule reordering :premises (@p679) :args ((or @t384 @t391)))
% 0.45/0.67  (step @p681 :rule chain_m_resolution :premises (@p680 @p665) :args (@t384 @t392 @t393))
% 0.45/0.67  (step @p682 :rule bool-double-not-elim :args (@t381))
% 0.45/0.67  (step @p683 :rule nary_cong :premises (@p667 @p682) :args ((or @t391 (not @t382))))
% 0.45/0.67  (step @p684 :rule cnf_or_neg :args (@t391 3))
% 0.45/0.67  (step @p685 :rule eq_resolve :premises (@p684 @p683))
% 0.45/0.67  (step @p686 :rule reordering :premises (@p685) :args ((or @t381 @t391)))
% 0.45/0.67  (step @p687 :rule chain_m_resolution :premises (@p686 @p665) :args (@t381 @t392 @t393))
% 0.45/0.67  (step @p688 :rule not_implies_elim1 :premises (@p642))
% 0.45/0.67  (step @p689 :rule instantiate :premises (@p688) :args ((@list @t363 @t362 @t360 @t366)))
% 0.45/0.67  (step @p690 :rule cnf_or_pos :args (@t400))
% 0.45/0.67  (step @p691 :rule reordering :premises (@p690) :args ((or @t385 @t382 @t375 @t399 (not @t400))))
% 0.45/0.67  (step @p692 :rule bool-double-not-elim :args (@t389))
% 0.45/0.67  (step @p693 :rule nary_cong :premises (@p667 @p692) :args ((or @t391 (not @t390))))
% 0.45/0.67  (step @p694 :rule cnf_or_neg :args (@t391 0))
% 0.45/0.67  (step @p695 :rule eq_resolve :premises (@p694 @p693))
% 0.45/0.67  (step @p696 :rule reordering :premises (@p695) :args ((or @t389 @t391)))
% 0.45/0.67  (step @p697 :rule chain_m_resolution :premises (@p696 @p665) :args (@t389 @t392 @t393))
% 0.45/0.67  (step @p698 :rule bool-double-not-elim :args (@t387))
% 0.45/0.67  (step @p699 :rule nary_cong :premises (@p667 @p698) :args ((or @t391 (not @t388))))
% 0.45/0.67  (step @p700 :rule cnf_or_neg :args (@t391 1))
% 0.45/0.67  (step @p701 :rule eq_resolve :premises (@p700 @p699))
% 0.45/0.67  (step @p702 :rule reordering :premises (@p701) :args ((or @t387 @t391)))
% 0.45/0.67  (step @p703 :rule chain_m_resolution :premises (@p702 @p665) :args (@t387 @t392 @t393))
% 0.45/0.67  (step @p704 :rule not_implies_elim1 :premises (@p643))
% 0.45/0.67  (step @p705 :rule instantiate :premises (@p704) :args ((@list @t363 @t362 @t361 @t366 @t368)))
% 0.45/0.67  (step @p706 :rule cnf_or_pos :args (@t402))
% 0.45/0.67  (step @p707 :rule reordering :premises (@p706) :args ((or @t390 @t388 @t375 @t374 @t372 @t401 (not @t402))))
% 0.45/0.67  (step @p708 :rule refl :args (@t403))
% 0.45/0.67  (step @p709 :rule refl :args (@t404))
% 0.45/0.67  (step @p710 :rule refl :args (@t405))
% 0.45/0.67  (step @p711 :rule bool-double-not-elim :args (@t370))
% 0.45/0.67  (step @p712 :rule nary_cong :premises (@p711 @p710 @p709 @p708) :args ((or (not @t406) @t405 @t404 @t403)))
% 0.45/0.67  (assume-push @p837 @t406)
% 0.45/0.67  (assume-push @p838 @t401)
% 0.45/0.67  (assume-push @p839 @t396)
% 0.45/0.67  (assume-push @p840 @t399)
% 0.45/0.67  (step @p717 :rule evaluate :args ((= true false)))
% 0.45/0.67  (step @p718 :rule false_intro :premises (@p837))
% 0.45/0.67  (step @p719 :rule refl :args (@t360))
% 0.45/0.67  (step @p720 :rule symm :premises (@p838))
% 0.45/0.67  (step @p721 :rule symm :premises (@p839))
% 0.45/0.67  (step @p722 :rule trans :premises (@p721 @p720))
% 0.45/0.67  (step @p723 :rule refl :args (@t366))
% 0.45/0.67  (step @p724 :rule cong :premises (@p723 @p722) :args (@t398))
% 0.45/0.67  (step @p725 :rule cong :premises (@p724 @p719) :args (@t399))
% 0.45/0.67  (step @p726 :rule true_intro :premises (@p840))
% 0.45/0.67  (step @p727 :rule symm :premises (@p726))
% 0.45/0.67  (step @p728 :rule trans :premises (@p727 @p725 @p718))
% 0.45/0.67  (step @p729 false :rule eq_resolve :premises (@p728 @p717))
% 0.45/0.67  (step-pop @p841 :rule scope :premises (@p729))
% 0.45/0.67  (step-pop @p842 :rule scope :premises (@p841))
% 0.45/0.67  (step-pop @p843 :rule scope :premises (@p842))
% 0.45/0.67  (step-pop @p844 :rule scope :premises (@p843))
% 0.45/0.67  (step @p730 :rule process_scope :premises (@p844) :args (false))
% 0.45/0.67  (step @p735 :rule not_and :premises (@p730))
% 0.45/0.67  (step @p736 :rule eq_resolve :premises (@p735 @p712))
% 0.45/0.67  (step @p737 :rule chain_m_resolution :premises (@p736 @p707 @p705 @p703 @p697 @p691 @p689 @p687 @p681 @p675 @p673 @p663 @p662 @p657 @p652) :args (@t376 (@list false false false false false false false false false false true false false false) (@list @t401 @t402 @t387 @t389 @t399 @t400 @t381 @t384 @t396 @t397 @t370 @t371 @t373 @t367)))
% 0.45/0.67  (step @p738 :rule refl :args (@t407))
% 0.45/0.67  (step @p739 :rule bool-double-not-elim :args (@t365))
% 0.45/0.67  (step @p740 :rule nary_cong :premises (@p739 @p738) :args ((or (not @t408) @t407)))
% 0.45/0.67  (assume-push @p845 @t408)
% 0.45/0.67  (step @p742 :rule skolemize :premises (@p845))
% 0.45/0.67  (step-pop @p846 :rule scope :premises (@p742))
% 0.45/0.67  (step @p743 :rule process_scope :premises (@p846) :args (@t407))
% 0.45/0.67  (step @p745 :rule implies_elim :premises (@p743))
% 0.45/0.67  (step @p746 :rule eq_resolve :premises (@p745 @p740))
% 0.45/0.67  (step @p747 :rule chain_m_resolution :premises (@p746 @p737) :args (@t365 (@list false) (@list @t376)))
% 0.45/0.67  (step @p748 :rule cnf_or_neg :args (@t391 5))
% 0.45/0.67  (step @p749 :rule chain_m_resolution :premises (@p748 @p665) :args ((not @t378) @t392 @t393))
% 0.45/0.67  (step @p750 :rule cnf_or_pos :args (@t411))
% 0.45/0.67  (step @p751 :rule reordering :premises (@p750) :args ((or @t390 @t385 @t378 @t408 @t410 (not @t411))))
% 0.45/0.67  (step @p752 :rule chain_m_resolution :premises (@p751 @p697 @p681 @p749 @p747 @p646) :args (@t410 (@list false false true false false) (@list @t389 @t384 @t378 @t365 @t411)))
% 0.45/0.67  (step @p753 :rule refl :args (@t423))
% 0.45/0.67  (step @p754 :rule bool-double-not-elim :args (@t409))
% 0.45/0.67  (step @p755 :rule nary_cong :premises (@p754 @p753) :args ((or (not @t410) @t423)))
% 0.45/0.67  (assume-push @p847 @t410)
% 0.45/0.67  (step @p757 :rule skolemize :premises (@p847))
% 0.45/0.67  (step-pop @p848 :rule scope :premises (@p757))
% 0.45/0.67  (step @p758 :rule process_scope :premises (@p848) :args (@t423))
% 0.45/0.67  (step @p760 :rule implies_elim :premises (@p758))
% 0.45/0.67  (step @p761 :rule eq_resolve :premises (@p760 @p755))
% 0.45/0.67  (step @p762 :rule chain_m_resolution :premises (@p761 @p752) :args (@t423 @t392 (@list @t409)))
% 0.45/0.67  (step @p763 :rule cnf_or_neg :args (@t422 3))
% 0.45/0.67  (step @p764 :rule chain_m_resolution :premises (@p763 @p762) :args (@t424 @t392 @t425))
% 0.45/0.67  (step @p765 :rule instantiate :premises (@p688) :args ((@list @t363 @t362 @t361 @t413)))
% 0.45/0.67  (step @p766 :rule bool-double-not-elim :args (@t420))
% 0.45/0.67  (step @p767 :rule refl :args (@t422))
% 0.45/0.67  (step @p768 :rule nary_cong :premises (@p767 @p766) :args ((or @t422 (not @t421))))
% 0.45/0.67  (step @p769 :rule cnf_or_neg :args (@t422 0))
% 0.45/0.67  (step @p770 :rule eq_resolve :premises (@p769 @p768))
% 0.45/0.67  (step @p771 :rule reordering :premises (@p770) :args ((or @t420 @t422)))
% 0.45/0.67  (step @p772 :rule chain_m_resolution :premises (@p771 @p762) :args (@t420 @t392 @t425))
% 0.45/0.67  (step @p773 :rule cnf_or_pos :args (@t428))
% 0.45/0.67  (step @p774 :rule reordering :premises (@p773) :args ((or @t390 @t388 @t421 @t427 (not @t428))))
% 0.45/0.67  (step @p775 :rule chain_m_resolution :premises (@p774 @p697 @p703 @p772 @p765) :args (@t427 (@list false false false false) (@list @t389 @t387 @t420 @t428)))
% 0.45/0.67  (step @p776 :rule instantiate :premises (@p672) :args ((@list @t413)))
% 0.45/0.67  (step @p777 :rule cnf_or_pos :args (@t431))
% 0.45/0.67  (step @p778 :rule reordering :premises (@p777) :args ((or @t421 @t430 (not @t431))))
% 0.45/0.67  (step @p779 :rule chain_m_resolution :premises (@p778 @p772 @p776) :args (@t430 (@list false false) (@list @t420 @t431)))
% 0.45/0.67  (step @p780 :rule instantiate :premises (@p704) :args ((@list @t363 @t362 @t360 @t413 @t412)))
% 0.45/0.67  (step @p781 :rule bool-double-not-elim :args (@t416))
% 0.45/0.67  (step @p782 :rule nary_cong :premises (@p767 @p781) :args ((or @t422 (not @t417))))
% 0.45/0.67  (step @p783 :rule cnf_or_neg :args (@t422 2))
% 0.45/0.67  (step @p784 :rule eq_resolve :premises (@p783 @p782))
% 0.45/0.67  (step @p785 :rule reordering :premises (@p784) :args ((or @t416 @t422)))
% 0.45/0.67  (step @p786 :rule chain_m_resolution :premises (@p785 @p762) :args (@t416 @t392 @t425))
% 0.45/0.67  (step @p787 :rule bool-double-not-elim :args (@t418))
% 0.45/0.67  (step @p788 :rule nary_cong :premises (@p767 @p787) :args ((or @t422 (not @t419))))
% 0.45/0.67  (step @p789 :rule cnf_or_neg :args (@t422 1))
% 0.45/0.67  (step @p790 :rule eq_resolve :premises (@p789 @p788))
% 0.45/0.67  (step @p791 :rule reordering :premises (@p790) :args ((or @t418 @t422)))
% 0.45/0.67  (step @p792 :rule chain_m_resolution :premises (@p791 @p762) :args (@t418 @t392 @t425))
% 0.45/0.67  (step @p793 :rule cnf_or_pos :args (@t433))
% 0.45/0.67  (step @p794 :rule reordering :premises (@p793) :args ((or @t385 @t382 @t421 @t419 @t417 @t432 (not @t433))))
% 0.45/0.67  (step @p795 :rule chain_m_resolution :premises (@p794 @p681 @p687 @p772 @p792 @p786 @p780) :args (@t432 (@list false false false false false false) (@list @t384 @t381 @t420 @t418 @t416 @t433)))
% 0.45/0.67  (step @p796 :rule refl :args (@t434))
% 0.45/0.67  (step @p797 :rule refl :args (@t435))
% 0.45/0.67  (step @p798 :rule refl :args (@t436))
% 0.45/0.67  (step @p799 :rule bool-double-not-elim :args (@t415))
% 0.45/0.67  (step @p800 :rule nary_cong :premises (@p799 @p798 @p797 @p796) :args ((or (not @t424) @t436 @t435 @t434)))
% 0.45/0.67  (assume-push @p849 @t427)
% 0.45/0.67  (assume-push @p850 @t430)
% 0.45/0.67  (assume-push @p851 @t432)
% 0.45/0.67  (assume-push @p852 @t424)
% 0.45/0.67  (step @p805 :rule evaluate :args ((= false true)))
% 0.45/0.67  (step @p806 :rule true_intro :premises (@p849))
% 0.45/0.67  (step @p807 :rule refl :args (@t361))
% 0.45/0.67  (step @p808 :rule symm :premises (@p850))
% 0.45/0.67  (step @p809 :rule trans :premises (@p851 @p808))
% 0.45/0.67  (step @p810 :rule refl :args (@t413))
% 0.45/0.67  (step @p811 :rule cong :premises (@p810 @p809) :args (@t414))
% 0.45/0.67  (step @p812 :rule cong :premises (@p811 @p807) :args (@t415))
% 0.45/0.67  (step @p813 :rule false_intro :premises (@p852))
% 0.45/0.67  (step @p814 :rule symm :premises (@p813))
% 0.45/0.67  (step @p815 :rule trans :premises (@p814 @p812 @p806))
% 0.45/0.67  (step @p816 false :rule eq_resolve :premises (@p815 @p805))
% 0.45/0.67  (step-pop @p853 :rule scope :premises (@p816))
% 0.45/0.67  (step-pop @p854 :rule scope :premises (@p853))
% 0.45/0.67  (step-pop @p855 :rule scope :premises (@p854))
% 0.45/0.67  (step-pop @p856 :rule scope :premises (@p855))
% 0.45/0.67  (step @p817 :rule process_scope :premises (@p856) :args (false))
% 0.45/0.67  (assume-push @p857 @t424)
% 0.45/0.67  (assume-push @p858 @t427)
% 0.45/0.67  (assume-push @p859 @t430)
% 0.45/0.67  (assume-push @p860 @t432)
% 0.45/0.67  (step @p826 :rule and_intro :premises (@p858 @p859 @p860 @p857))
% 0.45/0.67  (step-pop @p861 :rule scope :premises (@p826))
% 0.45/0.67  (step-pop @p862 :rule scope :premises (@p861))
% 0.45/0.67  (step-pop @p863 :rule scope :premises (@p862))
% 0.45/0.67  (step-pop @p864 :rule scope :premises (@p863))
% 0.45/0.67  (step @p827 :rule process_scope :premises (@p864) :args (@t437))
% 0.45/0.67  (step @p832 :rule implies_elim :premises (@p827))
% 0.45/0.67  (step @p833 :rule resolution :premises (@p832 @p817) :args (true @t437))
% 0.45/0.67  (step @p834 :rule not_and :premises (@p833))
% 0.45/0.67  (step @p835 :rule eq_resolve :premises (@p834 @p800))
% 0.45/0.67  (step @p836 false :rule chain_m_resolution :premises (@p835 @p795 @p779 @p775 @p764) :args (false (@list false false false true) (@list @t432 @t430 @t427 @t415)))
% 0.45/0.67  )
% 0.45/0.67  % SZS output end Proof
% 0.45/0.67  % cvc5 exiting
%------------------------------------------------------------------------------