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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWX153_1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 09:07:17 AM UTC 2026

% Result   : Theorem 0.38s 0.65s
% Output   : Proof 0.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWX153_1 : TPTP v9.3.0. Released v9.3.0.
% 0.13/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n027.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Tue Jun  2 23:03:51 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.30/0.51  %----Proving TH0
% 0.38/0.65  --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s...
% 0.38/0.65  % SZS status Theorem
% 0.38/0.65  % SZS output start Proof
% 0.38/0.65  (
% 0.38/0.65  (declare-sort tptp.d_unsorted 0)
% 0.38/0.65  (declare-sort $$unsorted 0)
% 0.38/0.65  (declare-const tptp.d_unsorted_0 tptp.d_unsorted)
% 0.38/0.65  (declare-const tptp.d2unsorted (-> tptp.d_unsorted $$unsorted))
% 0.38/0.65  (declare-const tptp.so (-> (-> $$unsorted $$unsorted Bool) Bool))
% 0.38/0.65  (declare-const tptp.total (-> (-> $$unsorted $$unsorted Bool) Bool))
% 0.38/0.65  (declare-const tptp.term (-> (-> $$unsorted $$unsorted Bool) Bool))
% 0.38/0.65  (declare-const tptp.ind (-> (-> $$unsorted $$unsorted Bool) Bool))
% 0.38/0.65  (declare-const tptp.innf (-> (-> $$unsorted $$unsorted Bool) $$unsorted Bool))
% 0.38/0.65  (declare-const tptp.nfof (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool))
% 0.38/0.65  (declare-const tptp.norm (-> (-> $$unsorted $$unsorted Bool) Bool))
% 0.38/0.65  (declare-const tptp.join (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool))
% 0.38/0.65  (declare-const tptp.lconfl (-> (-> $$unsorted $$unsorted Bool) Bool))
% 0.38/0.65  (declare-const tptp.subrel (-> (-> $$unsorted $$unsorted Bool) (-> $$unsorted $$unsorted Bool) Bool))
% 0.38/0.65  (declare-const tptp.sconfl (-> (-> $$unsorted $$unsorted Bool) Bool))
% 0.38/0.65  (declare-const tptp.confl (-> (-> $$unsorted $$unsorted Bool) Bool))
% 0.38/0.65  (declare-const tptp.inv (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool))
% 0.38/0.65  (declare-const tptp.po (-> (-> $$unsorted $$unsorted Bool) Bool))
% 0.38/0.65  (declare-const tptp.cr (-> (-> $$unsorted $$unsorted Bool) Bool))
% 0.38/0.65  (declare-const tptp.trsc (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool))
% 0.38/0.65  (declare-const tptp.trc (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool))
% 0.38/0.65  (declare-const tptp.tc (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool))
% 0.38/0.65  (declare-const tptp.trans (-> (-> $$unsorted $$unsorted Bool) Bool))
% 0.38/0.65  (declare-const tptp.sc (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool))
% 0.38/0.65  (declare-const tptp.asymm (-> (-> $$unsorted $$unsorted Bool) Bool))
% 0.38/0.65  (declare-const tptp.antisymm (-> (-> $$unsorted $$unsorted Bool) Bool))
% 0.38/0.65  (declare-const tptp.symm (-> (-> $$unsorted $$unsorted Bool) Bool))
% 0.38/0.65  (declare-const tptp.rc (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool))
% 0.38/0.65  (declare-const tptp.irrefl (-> (-> $$unsorted $$unsorted Bool) Bool))
% 0.38/0.65  (declare-const tptp.refl (-> (-> $$unsorted $$unsorted Bool) Bool))
% 0.38/0.65  (declare-const tptp.mono (-> (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool) Bool))
% 0.38/0.65  (declare-const tptp.infl (-> (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool) Bool))
% 0.38/0.65  (declare-const tptp.idem (-> (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool) Bool))
% 0.38/0.65  (define @t1 () (@var "Y" $$unsorted))
% 0.38/0.65  (define @t2 () (@var "X" $$unsorted))
% 0.38/0.65  (define @t3 () (@var "Bound_variable_1538" (-> $$unsorted $$unsorted Bool)))
% 0.38/0.65  (define @t4 () (@var "Bound_variable_663" $$unsorted))
% 0.38/0.65  (define @t5 () (@var "Bound_variable_661" $$unsorted))
% 0.38/0.65  (define @t6 () (@var "R" (-> $$unsorted $$unsorted Bool)))
% 0.38/0.65  (define @t7 () (_ (_ @t6 @t5) @t4))
% 0.38/0.65  (define @t8 () (not @t7))
% 0.38/0.65  (define @t9 () (@list @t5 @t4))
% 0.38/0.65  (define @t10 () (@var "Bound_variable_1106" $$unsorted))
% 0.38/0.65  (define @t11 () (@var "Bound_variable_672" $$unsorted))
% 0.38/0.65  (define @t12 () (_ @t3 @t11))
% 0.38/0.65  (define @t13 () (@var "Bound_variable_674" $$unsorted))
% 0.38/0.65  (define @t14 () (@list @t11 @t13 @t10))
% 0.38/0.65  (define @t15 () (@var "Bound_variable_1522" (-> $$unsorted $$unsorted Bool)))
% 0.38/0.65  (define @t16 () (@var "Bound_variable_1125" $$unsorted))
% 0.38/0.65  (define @t17 () (_ @t15 @t11))
% 0.38/0.65  (define @t18 () (@list @t11 @t13 @t16))
% 0.38/0.65  (define @t19 () (@var "Bound_variable_1218" $$unsorted))
% 0.38/0.65  (define @t20 () (@var "S" (-> $$unsorted $$unsorted Bool)))
% 0.38/0.65  (define @t21 () (_ @t20 @t2))
% 0.38/0.65  (define @t22 () (_ @t21 @t19))
% 0.38/0.65  (define @t23 () (_ (_ @t20 @t5) @t4))
% 0.38/0.65  (define @t24 () (or @t8 @t23))
% 0.38/0.65  (define @t25 () (forall @t9 @t24))
% 0.38/0.65  (define @t26 () (not @t25))
% 0.38/0.65  (define @t27 () (_ @t20 @t11))
% 0.38/0.65  (define @t28 () (_ @t27 @t10))
% 0.38/0.65  (define @t29 () (_ @t20 @t13))
% 0.38/0.65  (define @t30 () (_ @t29 @t10))
% 0.38/0.65  (define @t31 () (not @t30))
% 0.38/0.65  (define @t32 () (_ @t27 @t13))
% 0.38/0.65  (define @t33 () (not @t32))
% 0.38/0.65  (define @t34 () (or @t33 @t31 @t28))
% 0.38/0.65  (define @t35 () (forall @t14 @t34))
% 0.38/0.65  (define @t36 () (not @t35))
% 0.38/0.65  (define @t37 () (or @t36 @t26 @t22))
% 0.38/0.65  (define @t38 () (@list @t20))
% 0.38/0.65  (define @t39 () (forall @t38 @t37))
% 0.38/0.65  (define @t40 () (not @t39))
% 0.38/0.65  (define @t41 () (_ @t20 @t1))
% 0.38/0.65  (define @t42 () (_ @t41 @t19))
% 0.38/0.65  (define @t43 () (_ @t27 @t16))
% 0.38/0.65  (define @t44 () (_ @t29 @t16))
% 0.38/0.65  (define @t45 () (not @t44))
% 0.38/0.65  (define @t46 () (or @t33 @t45 @t43))
% 0.38/0.65  (define @t47 () (forall @t18 @t46))
% 0.38/0.65  (define @t48 () (not @t47))
% 0.38/0.65  (define @t49 () (or @t48 @t26 @t42))
% 0.38/0.65  (define @t50 () (forall @t38 @t49))
% 0.38/0.65  (define @t51 () (not @t50))
% 0.38/0.65  (define @t52 () (or @t51 @t40))
% 0.38/0.65  (define @t53 () (@list @t19))
% 0.38/0.65  (define @t54 () (forall @t53 @t52))
% 0.38/0.65  (define @t55 () (= @t2 @t1))
% 0.38/0.65  (define @t56 () (_ @t21 @t1))
% 0.38/0.65  (define @t57 () (@var "Z" $$unsorted))
% 0.38/0.65  (define @t58 () (not (forall (@list @t11 @t13 @t57) (or @t33 (not (_ @t29 @t57)) (_ @t27 @t57)))))
% 0.38/0.65  (define @t59 () (forall @t38 (or @t58 @t26 @t56)))
% 0.38/0.65  (define @t60 () (not @t59))
% 0.38/0.65  (define @t61 () (_ @t41 @t2))
% 0.38/0.65  (define @t62 () (forall @t38 (or @t58 @t26 @t61)))
% 0.38/0.65  (define @t63 () (not @t55))
% 0.38/0.65  (define @t64 () (@list @t6))
% 0.38/0.65  (define @t65 () (@var "Bound_variable_1460" (-> $$unsorted $$unsorted Bool)))
% 0.38/0.65  (define @t66 () (_ @t65 @t11))
% 0.38/0.65  (define @t67 () (@var "Bound_variable_1444" (-> $$unsorted $$unsorted Bool)))
% 0.38/0.65  (define @t68 () (_ @t67 @t11))
% 0.38/0.65  (define @t69 () (_ (_ @t20 @t57) @t19))
% 0.38/0.65  (define @t70 () (or @t36 @t26 @t69))
% 0.38/0.65  (define @t71 () (forall @t38 @t70))
% 0.38/0.65  (define @t72 () (not @t71))
% 0.38/0.65  (define @t73 () (or @t51 @t72))
% 0.38/0.65  (define @t74 () (forall @t53 @t73))
% 0.38/0.65  (define @t75 () (not @t74))
% 0.38/0.65  (define @t76 () (= @t1 @t57))
% 0.38/0.65  (define @t77 () (@var "Bound_variable_1422" $$unsorted))
% 0.38/0.65  (define @t78 () (@var "Bound_variable_1387" (-> $$unsorted $$unsorted Bool)))
% 0.38/0.65  (define @t79 () (_ @t78 @t11))
% 0.38/0.65  (define @t80 () (@var "Bound_variable_1371" (-> $$unsorted $$unsorted Bool)))
% 0.38/0.65  (define @t81 () (_ @t80 @t11))
% 0.38/0.65  (define @t82 () (@var "Bound_variable_1347" $$unsorted))
% 0.38/0.65  (define @t83 () (_ @t6 @t2))
% 0.38/0.65  (define @t84 () (_ @t83 @t57))
% 0.38/0.65  (define @t85 () (not @t84))
% 0.38/0.65  (define @t86 () (@var "Bound_variable_1309" (-> $$unsorted $$unsorted Bool)))
% 0.38/0.65  (define @t87 () (_ (_ @t86 @t57) @t1))
% 0.38/0.65  (define @t88 () (_ (_ @t86 @t5) @t4))
% 0.38/0.65  (define @t89 () (or @t8 @t88))
% 0.38/0.65  (define @t90 () (forall @t9 @t89))
% 0.38/0.65  (define @t91 () (not @t90))
% 0.38/0.65  (define @t92 () (_ @t86 @t11))
% 0.38/0.65  (define @t93 () (_ @t92 @t10))
% 0.38/0.65  (define @t94 () (_ (_ @t86 @t13) @t10))
% 0.38/0.65  (define @t95 () (not @t94))
% 0.38/0.65  (define @t96 () (_ @t92 @t13))
% 0.38/0.65  (define @t97 () (not @t96))
% 0.38/0.65  (define @t98 () (or @t97 @t95 @t93))
% 0.38/0.65  (define @t99 () (forall @t14 @t98))
% 0.38/0.65  (define @t100 () (not @t99))
% 0.38/0.65  (define @t101 () (@var "Bound_variable_1293" (-> $$unsorted $$unsorted Bool)))
% 0.38/0.65  (define @t102 () (_ (_ @t101 @t1) @t57))
% 0.38/0.65  (define @t103 () (_ (_ @t101 @t5) @t4))
% 0.38/0.65  (define @t104 () (or @t8 @t103))
% 0.38/0.65  (define @t105 () (forall @t9 @t104))
% 0.38/0.65  (define @t106 () (not @t105))
% 0.38/0.65  (define @t107 () (_ @t101 @t11))
% 0.38/0.65  (define @t108 () (_ @t107 @t16))
% 0.38/0.65  (define @t109 () (_ (_ @t101 @t13) @t16))
% 0.38/0.65  (define @t110 () (not @t109))
% 0.38/0.65  (define @t111 () (_ @t107 @t13))
% 0.38/0.65  (define @t112 () (not @t111))
% 0.38/0.65  (define @t113 () (or @t112 @t110 @t108))
% 0.38/0.65  (define @t114 () (forall @t18 @t113))
% 0.38/0.65  (define @t115 () (not @t114))
% 0.38/0.65  (define @t116 () (_ @t83 @t1))
% 0.38/0.65  (define @t117 () (not @t116))
% 0.38/0.65  (define @t118 () (or @t85 @t117 @t76 @t75 @t115 @t106 @t102 @t100 @t91 @t87))
% 0.38/0.65  (define @t119 () (@list @t2 @t1 @t57 @t101 @t86))
% 0.38/0.65  (define @t120 () (forall @t119 @t118))
% 0.38/0.65  (define @t121 () (lambda @t64 @t120))
% 0.38/0.65  (define @t122 () (= tptp.lconfl @t121))
% 0.38/0.65  (define @t123 () (or @t36 @t26 @t56))
% 0.38/0.65  (define @t124 () (forall @t38 @t123))
% 0.38/0.65  (define @t125 () (not @t124))
% 0.38/0.65  (define @t126 () (or @t48 @t26 @t61))
% 0.38/0.65  (define @t127 () (forall @t38 @t126))
% 0.38/0.65  (define @t128 () (not @t127))
% 0.38/0.65  (define @t129 () (and @t63 @t128 @t125 @t54))
% 0.38/0.65  (define @t130 () (not @t129))
% 0.38/0.65  (define @t131 () (@list @t6 @t2 @t1))
% 0.38/0.65  (define @t132 () (lambda @t131 @t130))
% 0.38/0.65  (define @t133 () (= tptp.join @t132))
% 0.38/0.65  (define @t134 () (@var "Bound_variable_985" $$unsorted))
% 0.38/0.65  (define @t135 () (@var "Bound_variable_1049" $$unsorted))
% 0.38/0.65  (define @t136 () (@list @t134))
% 0.38/0.65  (define @t137 () (@var "Bound_variable_1075" $$unsorted))
% 0.38/0.65  (define @t138 () (@list @t1))
% 0.38/0.65  (define @t139 () (@var "Bound_variable_917" $$unsorted))
% 0.38/0.65  (define @t140 () (@var "P" (-> $$unsorted Bool)))
% 0.38/0.65  (define @t141 () (@list @t2))
% 0.38/0.65  (define @t142 () (@var "A" (-> $$unsorted Bool)))
% 0.38/0.65  (define @t143 () (@var "Bound_variable_862" $$unsorted))
% 0.38/0.65  (define @t144 () (_ @t6 @t1))
% 0.38/0.65  (define @t145 () (_ @t144 @t2))
% 0.38/0.65  (define @t146 () (@list @t2 @t1))
% 0.38/0.65  (define @t147 () (@list @t2 @t1 @t57))
% 0.38/0.65  (define @t148 () (forall @t147 (or @t117 (not (_ @t144 @t57)) @t84)))
% 0.38/0.65  (define @t149 () (not @t145))
% 0.38/0.65  (define @t150 () (forall @t146 (or @t117 @t149)))
% 0.38/0.65  (define @t151 () (forall @t146 (or @t117 @t149 @t55)))
% 0.38/0.65  (define @t152 () (_ @t83 @t2))
% 0.38/0.65  (define @t153 () (forall @t141 @t152))
% 0.38/0.65  (define @t154 () (@var "Flatten_var_1" $$unsorted))
% 0.38/0.65  (define @t155 () (@var "Flatten_var_0" $$unsorted))
% 0.38/0.65  (define @t156 () (forall @t38 (or @t58 @t26 (_ (_ @t20 @t155) @t154))))
% 0.38/0.65  (define @t157 () (= @t155 @t154))
% 0.38/0.65  (define @t158 () (@list @t6 @t155 @t154))
% 0.38/0.65  (define @t159 () (@var "Bound_variable_512" $$unsorted))
% 0.38/0.65  (define @t160 () (@var "Bound_variable_510" $$unsorted))
% 0.38/0.65  (define @t161 () (@var "F" (-> (-> $$unsorted $$unsorted Bool) $$unsorted $$unsorted Bool)))
% 0.38/0.65  (define @t162 () (_ @t161 @t6))
% 0.38/0.65  (define @t163 () (forall @t146 (or @t117 @t56)))
% 0.38/0.65  (define @t164 () (@list @t161))
% 0.38/0.65  (define @t165 () (@var "DU2" tptp.d_unsorted))
% 0.38/0.65  (define @t166 () (@var "DU1" tptp.d_unsorted))
% 0.38/0.65  (define @t167 () (@var "DU" tptp.d_unsorted))
% 0.38/0.65  (define @t168 () (@list @t167))
% 0.38/0.65  (define @t169 () (@var "U" $$unsorted))
% 0.38/0.65  (define @t170 () (_ (_ (_ tptp.join @t6) @t57) @t1))
% 0.38/0.65  (define @t171 () (and @t84 @t116))
% 0.38/0.65  (define @t172 () (forall @t147 (=> @t171 @t170)))
% 0.38/0.65  (define @t173 () (lambda @t64 @t172))
% 0.38/0.65  (define @t174 () (= tptp.lconfl @t173))
% 0.38/0.65  (define @t175 () (not @t174))
% 0.38/0.65  (define @t176 () (_ @t86 @t57 @t1))
% 0.38/0.65  (define @t177 () (_ @t86 @t5 @t4))
% 0.38/0.65  (define @t178 () (_ @t6 @t5 @t4))
% 0.38/0.65  (define @t179 () (not @t178))
% 0.38/0.65  (define @t180 () (not (forall @t9 (or @t179 @t177))))
% 0.38/0.65  (define @t181 () (_ @t86 @t11 @t10))
% 0.38/0.65  (define @t182 () (_ @t86 @t13 @t10))
% 0.38/0.65  (define @t183 () (_ @t86 @t11 @t13))
% 0.38/0.65  (define @t184 () (not (forall @t14 (or (not @t183) (not @t182) @t181))))
% 0.38/0.65  (define @t185 () (_ @t101 @t1 @t57))
% 0.38/0.65  (define @t186 () (_ @t101 @t5 @t4))
% 0.38/0.65  (define @t187 () (not (forall @t9 (or @t179 @t186))))
% 0.38/0.65  (define @t188 () (_ @t101 @t11 @t16))
% 0.38/0.65  (define @t189 () (_ @t101 @t13 @t16))
% 0.38/0.65  (define @t190 () (_ @t101 @t11 @t13))
% 0.38/0.65  (define @t191 () (not (forall @t18 (or (not @t190) (not @t189) @t188))))
% 0.38/0.65  (define @t192 () (_ @t20 @t57 @t19))
% 0.38/0.65  (define @t193 () (_ @t20 @t5 @t4))
% 0.38/0.65  (define @t194 () (not (forall @t9 (or @t179 @t193))))
% 0.38/0.65  (define @t195 () (_ @t20 @t11 @t10))
% 0.38/0.65  (define @t196 () (_ @t20 @t13 @t10))
% 0.38/0.65  (define @t197 () (_ @t20 @t11 @t13))
% 0.38/0.65  (define @t198 () (not @t197))
% 0.38/0.65  (define @t199 () (not (forall @t14 (or @t198 (not @t196) @t195))))
% 0.38/0.65  (define @t200 () (_ @t20 @t1 @t19))
% 0.38/0.65  (define @t201 () (_ @t20 @t11 @t16))
% 0.38/0.65  (define @t202 () (_ @t20 @t13 @t16))
% 0.38/0.65  (define @t203 () (not (forall @t18 (or @t198 (not @t202) @t201))))
% 0.38/0.65  (define @t204 () (not (forall @t38 (or @t203 @t194 @t200))))
% 0.38/0.65  (define @t205 () (forall @t53 (or @t204 (not (forall @t38 (or @t199 @t194 @t192))))))
% 0.38/0.65  (define @t206 () (not @t205))
% 0.38/0.65  (define @t207 () (_ @t6 @t2 @t1))
% 0.38/0.65  (define @t208 () (not @t207))
% 0.38/0.65  (define @t209 () (_ @t6 @t2 @t57))
% 0.38/0.65  (define @t210 () (not @t209))
% 0.38/0.65  (define @t211 () (lambda @t64 (forall @t119 (or @t210 @t208 @t76 @t206 @t191 @t187 @t185 @t184 @t180 @t176))))
% 0.38/0.65  (define @t212 () (@purify @t211))
% 0.38/0.65  (define @t213 () (@var "BOUND_VARIABLE_8501" (-> $$unsorted $$unsorted Bool)))
% 0.38/0.65  (define @t214 () (_ @t213 @t57 @t1))
% 0.38/0.65  (define @t215 () (_ @t213 @t5 @t4))
% 0.38/0.65  (define @t216 () (not (forall @t9 (or @t179 @t215))))
% 0.38/0.65  (define @t217 () (not (forall @t14 (or (not (_ @t213 @t11 @t13)) (not (_ @t213 @t13 @t10)) (_ @t213 @t11 @t10)))))
% 0.38/0.65  (define @t218 () (@var "BOUND_VARIABLE_8485" (-> $$unsorted $$unsorted Bool)))
% 0.38/0.65  (define @t219 () (_ @t218 @t1 @t57))
% 0.38/0.65  (define @t220 () (_ @t218 @t5 @t4))
% 0.38/0.65  (define @t221 () (not (forall @t9 (or @t179 @t220))))
% 0.38/0.65  (define @t222 () (not (forall @t18 (or (not (_ @t218 @t11 @t13)) (not (_ @t218 @t13 @t16)) (_ @t218 @t11 @t16)))))
% 0.38/0.65  (define @t223 () (or @t210 @t208 @t76 @t206 @t222 @t221 @t219 @t217 @t216 @t214))
% 0.38/0.65  (define @t224 () (@list @t2 @t1 @t57 @t218 @t213))
% 0.38/0.65  (define @t225 () (lambda @t64 (forall @t224 @t223)))
% 0.38/0.65  (define @t226 () (@purify @t225))
% 0.38/0.65  (define @t227 () (= @t211 @t225))
% 0.38/0.65  (define @t228 () (or @t217 @t216 @t214))
% 0.38/0.65  (define @t229 () (or @t222 @t221 @t219))
% 0.38/0.65  (define @t230 () (or @t210 @t208 @t76 @t229 @t228 @t206))
% 0.38/0.65  (define @t231 () (forall @t224 @t230))
% 0.38/0.65  (define @t232 () (forall (@list @t218 @t213) @t230))
% 0.38/0.65  (define @t233 () (forall (@list @t213) @t228))
% 0.38/0.65  (define @t234 () (@list @t20))
% 0.38/0.65  (define @t235 () (forall (@list @t218) @t229))
% 0.38/0.65  (define @t236 () (or @t210 @t208 @t76 @t235 @t233 @t206))
% 0.38/0.65  (define @t237 () (forall @t38 (or @t199 @t194 (_ @t20 @t57 @t1))))
% 0.38/0.65  (define @t238 () (forall @t38 (or @t203 @t194 (_ @t20 @t1 @t57))))
% 0.38/0.65  (define @t239 () (or @t210 @t208 @t76 @t238 @t237 @t206))
% 0.38/0.65  (define @t240 () (not @t237))
% 0.38/0.65  (define @t241 () (not @t240))
% 0.38/0.65  (define @t242 () (not @t238))
% 0.38/0.65  (define @t243 () (not @t242))
% 0.38/0.65  (define @t244 () (not @t76))
% 0.38/0.65  (define @t245 () (not @t244))
% 0.38/0.65  (define @t246 () (or @t245 @t243 @t241 @t206))
% 0.38/0.65  (define @t247 () (or @t210 @t208 (not (and @t244 @t242 @t240 @t205))))
% 0.38/0.65  (define @t248 () (not (= @t57 @t1)))
% 0.38/0.65  (define @t249 () (and @t248 @t242 @t240 @t205))
% 0.38/0.66  (define @t250 () (not @t249))
% 0.38/0.66  (define @t251 () (_ @t20 @t2 @t19))
% 0.38/0.66  (define @t252 () (_ @t20 @t2 @t1))
% 0.38/0.66  (define @t253 () (_ @t20 @t1 @t2))
% 0.38/0.66  (define @t254 () (_ (lambda @t131 (not (and @t63 (not (forall @t38 (or @t203 @t194 @t253))) (not (forall @t38 (or @t199 @t194 @t252))) (forall @t53 (or @t204 (not (forall @t38 (or @t199 @t194 @t251)))))))) @t6 @t57 @t1))
% 0.38/0.66  (define @t255 () (or @t210 @t208 @t254))
% 0.38/0.66  (define @t256 () (forall @t147 @t255))
% 0.38/0.66  (define @t257 () (lambda @t64 @t256))
% 0.38/0.66  (define @t258 () (= @t211 @t257))
% 0.38/0.66  (define @t259 () (or @t199 @t194 @t22))
% 0.38/0.66  (define @t260 () (or @t203 @t194 @t42))
% 0.38/0.66  (define @t261 () (or @t199 @t194 @t56))
% 0.38/0.66  (define @t262 () (or @t203 @t194 @t61))
% 0.38/0.66  (define @t263 () (tptp.join @t6 @t57 @t1))
% 0.38/0.66  (define @t264 () (or @t210 @t208 @t263))
% 0.38/0.66  (define @t265 () (forall @t147 @t264))
% 0.38/0.66  (define @t266 () (lambda @t64 @t265))
% 0.38/0.66  (define @t267 () (or @t85 @t117 @t76 @t206 @t191 @t187 @t102 @t184 @t180 @t87))
% 0.38/0.66  (define @t268 () (or @t199 @t194 @t69))
% 0.38/0.66  (define @t269 () (= tptp.lconfl @t266))
% 0.38/0.66  (define @t270 () (or @t85 @t117 @t170))
% 0.38/0.66  (define @t271 () (@const 0 (-> $$unsorted $$unsorted Bool)))
% 0.38/0.66  (define @t272 () (not (_ @t271 @t5 @t4)))
% 0.38/0.66  (define @t273 () (not (forall @t9 (or @t272 @t193))))
% 0.38/0.66  (define @t274 () (not (forall @t53 (or (not (forall @t38 (or @t203 @t273 @t200))) (not (forall @t38 (or @t199 @t273 @t192)))))))
% 0.38/0.66  (define @t275 () (not (_ @t271 @t2 @t1)))
% 0.38/0.66  (define @t276 () (not (_ @t271 @t2 @t57)))
% 0.38/0.66  (define @t277 () (forall @t224 (or @t276 @t275 @t76 @t274 @t222 (not (forall @t9 (or @t272 @t220))) @t219 @t217 (not (forall @t9 (or @t272 @t215))) @t214)))
% 0.38/0.66  (define @t278 () (forall @t119 (or @t276 @t275 @t76 @t274 @t191 (not (forall @t9 (or @t272 @t186))) @t185 @t184 (not (forall @t9 (or @t272 @t177))) @t176)))
% 0.38/0.66  (define @t279 () (= (_ @t211 @t271) @t278))
% 0.38/0.66  (define @t280 () (_ @t212 @t271))
% 0.38/0.66  (define @t281 () (= (_ @t225 @t271) @t277))
% 0.38/0.66  (define @t282 () (_ @t226 @t271))
% 0.38/0.66  (define @t283 () (= @t282 @t280))
% 0.38/0.66  (define @t284 () (not @t283))
% 0.38/0.66  (define @t285 () (= @t226 @t212))
% 0.38/0.66  (define @t286 () (or @t285 @t284))
% 0.38/0.66  (define @t287 () (= @t278 @t277))
% 0.38/0.66  (define @t288 () (@list true))
% 0.38/0.66  (define @t289 () (@var "BOUND_VARIABLE_8769" $$unsorted))
% 0.38/0.66  (define @t290 () (@var "BOUND_VARIABLE_8770" $$unsorted))
% 0.38/0.66  (define @t291 () (@var "BOUND_VARIABLE_8780" (-> $$unsorted $$unsorted Bool)))
% 0.38/0.66  (define @t292 () (@var "BOUND_VARIABLE_8774" $$unsorted))
% 0.38/0.66  (define @t293 () (@var "BOUND_VARIABLE_8773" $$unsorted))
% 0.38/0.66  (define @t294 () (not (_ @t271 @t293 @t292)))
% 0.38/0.66  (define @t295 () (@list @t293 @t292))
% 0.38/0.66  (define @t296 () (@var "BOUND_VARIABLE_8778" $$unsorted))
% 0.38/0.66  (define @t297 () (@var "BOUND_VARIABLE_8775" $$unsorted))
% 0.38/0.66  (define @t298 () (@var "BOUND_VARIABLE_8776" $$unsorted))
% 0.38/0.66  (define @t299 () (@list @t297 @t298 @t296))
% 0.38/0.66  (define @t300 () (@var "BOUND_VARIABLE_8779" (-> $$unsorted $$unsorted Bool)))
% 0.38/0.66  (define @t301 () (@var "BOUND_VARIABLE_8777" $$unsorted))
% 0.38/0.66  (define @t302 () (@list @t297 @t298 @t301))
% 0.38/0.66  (define @t303 () (@var "BOUND_VARIABLE_8771" $$unsorted))
% 0.38/0.66  (define @t304 () (@var "BOUND_VARIABLE_8772" (-> $$unsorted $$unsorted Bool)))
% 0.38/0.66  (define @t305 () (not (forall @t295 (or @t294 (_ @t304 @t293 @t292)))))
% 0.38/0.66  (define @t306 () (not (_ @t304 @t297 @t298)))
% 0.38/0.66  (define @t307 () (@list @t304))
% 0.38/0.66  (define @t308 () (@var "BOUND_VARIABLE_8781" $$unsorted))
% 0.38/0.66  (define @t309 () (@list @t289 @t290 @t303 @t304 @t293 @t292 @t297 @t298 @t301 @t296 @t300 @t291 @t308))
% 0.38/0.66  (define @t310 () (not @t278))
% 0.38/0.66  (assume @p1 (and (forall (@list @t169) (exists @t168 (= @t169 (_ tptp.d2unsorted @t167)))) (forall @t168 (= @t167 tptp.d_unsorted_0)) (forall (@list @t166 @t165) (=> (= (_ tptp.d2unsorted @t166) (_ tptp.d2unsorted @t165)) (= @t166 @t165))) (= tptp.subrel (lambda (@list @t6 @t20) @t163)) (= tptp.inv (lambda @t131 @t145)) (= tptp.idem (lambda @t164 (forall @t64 (= @t162 (_ @t161 @t162))))) (= tptp.infl (lambda @t164 (forall @t131 (or @t117 (_ (_ @t162 @t2) @t1))))) (= tptp.mono (lambda @t164 (forall (@list @t6 @t20 @t160 @t159) (or (not @t163) (not (_ (_ @t162 @t160) @t159)) (_ (_ (_ @t161 @t20) @t160) @t159))))) (= tptp.refl (lambda @t64 @t153)) (= tptp.irrefl (lambda @t64 (forall @t141 (not @t152)))) (= tptp.rc (lambda @t131 (or @t55 @t116))) (= tptp.symm (lambda @t64 (forall @t146 (or @t117 @t145)))) (= tptp.antisymm (lambda @t64 @t151)) (= tptp.asymm (lambda @t64 @t150)) (= tptp.sc (lambda @t131 (or @t145 @t116))) (= tptp.trans (lambda @t64 @t148)) (= tptp.tc (lambda @t131 @t59)) (= tptp.trc (lambda @t158 (or @t157 @t156))) (= tptp.trsc (lambda @t158 (or @t157 (forall @t38 (or @t58 @t26 (_ (_ @t20 @t154) @t155))) @t156))) (= tptp.po (lambda @t64 (and @t153 @t151 @t148))) (= tptp.so (lambda @t64 (and @t150 @t148))) (= tptp.total (lambda @t64 (forall @t146 (or @t55 @t116 @t145)))) (= tptp.term (lambda @t64 (forall (@list @t142 @t143) (or (not (_ @t142 @t143)) (not (forall @t141 (or (not (_ @t142 @t2)) (not (forall @t138 (or (not (_ @t142 @t1)) @t117)))))))))) (= tptp.ind (lambda @t64 (forall (@list @t140 @t139) (or (not (forall @t141 (or (not (forall @t138 (or @t60 (_ @t140 @t1)))) (_ @t140 @t2)))) (_ @t140 @t139))))) (= tptp.innf (lambda (@list @t6 @t2) (forall @t138 @t117))) (= tptp.nfof (lambda @t131 (and (or @t55 @t62) (forall @t136 (not (_ @t83 @t134)))))) (= tptp.norm (lambda @t64 (forall (@list @t2 @t137) (or (not (_ @t83 @t137)) (not (forall (@list @t135) (or (not (forall @t38 (or @t58 @t26 (_ @t21 @t135)))) (not (forall @t136 (not (_ (_ @t6 @t135) @t134))))))))))) @t133 @t122 (= tptp.sconfl (lambda @t64 (forall (@list @t2 @t1 @t57 @t80 @t78) (or @t85 (and @t63 (not (forall @t38 (or (not (forall (@list @t11 @t13 @t82) (or @t33 (not (_ @t29 @t82)) (_ @t27 @t82)))) @t26 @t56)))) @t76 @t75 (not (forall @t18 (or (not (_ @t81 @t13)) (not (_ (_ @t80 @t13) @t16)) (_ @t81 @t16)))) (not (forall @t9 (or @t8 (_ (_ @t80 @t5) @t4)))) (_ (_ @t80 @t1) @t57) (not (forall @t14 (or (not (_ @t79 @t13)) (not (_ (_ @t78 @t13) @t10)) (_ @t79 @t10)))) (not (forall @t9 (or @t8 (_ (_ @t78 @t5) @t4)))) (_ (_ @t78 @t57) @t1))))) (= tptp.confl (lambda @t64 (forall (@list @t2 @t1 @t57 @t67 @t65) (or (and (not (= @t2 @t57)) (not (forall @t38 (or @t36 @t26 (_ @t21 @t57))))) (and @t63 (not (forall @t38 (or (not (forall (@list @t11 @t13 @t77) (or @t33 (not (_ @t29 @t77)) (_ @t27 @t77)))) @t26 @t56)))) @t76 @t75 (not (forall @t18 (or (not (_ @t68 @t13)) (not (_ (_ @t67 @t13) @t16)) (_ @t68 @t16)))) (not (forall @t9 (or @t8 (_ (_ @t67 @t5) @t4)))) (_ (_ @t67 @t1) @t57) (not (forall @t14 (or (not (_ @t66 @t13)) (not (_ (_ @t65 @t13) @t10)) (_ @t66 @t10)))) (not (forall @t9 (or @t8 (_ (_ @t65 @t5) @t4)))) (_ (_ @t65 @t57) @t1))))) (= tptp.cr (lambda @t64 (forall (@list @t2 @t1 @t15 @t3) (or (and @t63 (not @t62) @t60) @t55 (not @t54) (not (forall @t18 (or (not (_ @t17 @t13)) (not (_ (_ @t15 @t13) @t16)) (_ @t17 @t16)))) (not (forall @t9 (or @t8 (_ (_ @t15 @t5) @t4)))) (_ (_ @t15 @t1) @t2) (not (forall @t14 (or (not (_ @t12 @t13)) (not (_ (_ @t3 @t13) @t10)) (_ @t12 @t10)))) (not (forall @t9 (or @t8 (_ (_ @t3 @t5) @t4)))) (_ (_ @t3 @t2) @t1)))))))
% 0.38/0.66  (assume @p2 @t175)
% 0.38/0.66  (assume @p3 true)
% 0.38/0.66  (step @p4 :rule eq-symm :args (@t212 @t226))
% 0.38/0.66  (step @p5 :rule eq-refl :args (@t225))
% 0.38/0.66  (step @p6 :rule skolem_intro :args (@t226))
% 0.38/0.66  (step @p7 :rule refl :args (@t225))
% 0.38/0.66  (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t225 @t226)))
% 0.38/0.66  (step @p9 :rule trans :premises (@p8 @p5))
% 0.38/0.66  (step @p10 :rule true_elim :premises (@p9))
% 0.38/0.66  (step @p11 :rule eq-refl :args (@t211))
% 0.38/0.66  (step @p12 :rule skolem_intro :args (@t212))
% 0.38/0.66  (step @p13 :rule refl :args (@t211))
% 0.38/0.66  (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t211 @t212)))
% 0.38/0.66  (step @p15 :rule trans :premises (@p14 @p11))
% 0.38/0.66  (step @p16 :rule true_elim :premises (@p15))
% 0.38/0.66  (step @p17 :rule cong :premises (@p16 @p10) :args (@t227))
% 0.38/0.66  (step @p18 :rule trans :premises (@p17 @p4))
% 0.38/0.66  (step @p19 :rule cong :premises (@p18) :args ((not @t227)))
% 0.38/0.66  (step @p20 :rule aci_norm :args ((= @t230 @t223)))
% 0.38/0.66  (step @p21 :rule cong :premises (@p20) :args (@t231))
% 0.38/0.66  (step @p22 :rule quant-merge-prenex :args ((= (forall @t147 @t232) @t231)))
% 0.38/0.66  (step @p23 :rule refl :args (@t206))
% 0.38/0.66  (step @p24 :rule alpha_equiv :args (@t233 (@list @t213) @t234))
% 0.38/0.66  (step @p25 :rule alpha_equiv :args (@t235 (@list @t218) @t234))
% 0.38/0.66  (step @p26 :rule refl :args (@t76))
% 0.38/0.66  (step @p27 :rule refl :args (@t208))
% 0.38/0.66  (step @p28 :rule refl :args (@t210))
% 0.38/0.66  (step @p29 :rule nary_cong :premises (@p28 @p27 @p26 @p25 @p24 @p23) :args (@t236))
% 0.38/0.66  (step @p30 :rule quant-miniscope-or :args ((= @t232 @t236)))
% 0.38/0.66  (step @p31 :rule trans :premises (@p30 @p29))
% 0.38/0.66  (step @p32 :rule symm :premises (@p31))
% 0.38/0.66  (step @p33 :rule cong :premises (@p32) :args ((forall @t147 @t239)))
% 0.38/0.66  (step @p34 :rule trans :premises (@p33 @p22))
% 0.38/0.66  (step @p35 :rule trans :premises (@p34 @p21))
% 0.38/0.66  (step @p36 :rule aci_norm :args ((= (or @t210 @t208 (or @t76 @t238 @t237 @t206)) @t239)))
% 0.38/0.66  (step @p37 :rule bool-double-not-elim :args (@t237))
% 0.38/0.66  (step @p38 :rule bool-double-not-elim :args (@t238))
% 0.38/0.66  (step @p39 :rule bool-double-not-elim :args (@t76))
% 0.38/0.66  (step @p40 :rule nary_cong :premises (@p39 @p38 @p37 @p23) :args (@t246))
% 0.38/0.66  (step @p41 :rule aci_norm :args ((= (or @t245 (or @t243 (or @t241 @t206))) @t246)))
% 0.38/0.66  (step @p42 :rule trans :premises (@p41 @p40))
% 0.38/0.66  (step @p43 :rule bool-and-de-morgan :args (@t240 @t205 true))
% 0.38/0.66  (step @p44 :rule refl :args (@t243))
% 0.38/0.66  (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t243 (not (and @t240 @t205)))))
% 0.38/0.66  (step @p46 :rule bool-and-de-morgan :args (@t242 @t240 (and @t205)))
% 0.38/0.66  (step @p47 :rule trans :premises (@p46 @p45))
% 0.38/0.66  (step @p48 :rule refl :args (@t245))
% 0.38/0.66  (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t245 (not (and @t242 @t240 @t205)))))
% 0.38/0.66  (step @p50 :rule bool-and-de-morgan :args (@t244 @t242 (and @t240 @t205)))
% 0.38/0.66  (step @p51 :rule trans :premises (@p50 @p49))
% 0.38/0.66  (step @p52 :rule trans :premises (@p51 @p42))
% 0.38/0.66  (step @p53 :rule nary_cong :premises (@p28 @p27 @p52) :args (@t247))
% 0.38/0.66  (step @p54 :rule trans :premises (@p53 @p36))
% 0.38/0.66  (step @p55 :rule cong :premises (@p54) :args ((forall @t147 @t247)))
% 0.38/0.66  (step @p56 :rule trans :premises (@p55 @p35))
% 0.38/0.66  (step @p57 :rule refl :args (@t205))
% 0.38/0.66  (step @p58 :rule refl :args (@t240))
% 0.38/0.66  (step @p59 :rule refl :args (@t242))
% 0.38/0.66  (step @p60 :rule eq-symm :args (@t57 @t1))
% 0.38/0.66  (step @p61 :rule cong :premises (@p60) :args (@t248))
% 0.38/0.66  (step @p62 :rule nary_cong :premises (@p61 @p59 @p58 @p57) :args (@t249))
% 0.38/0.66  (step @p63 :rule cong :premises (@p62) :args (@t250))
% 0.38/0.66  (step @p64 :rule beta-reduce :args ((= @t254 @t250)))
% 0.38/0.66  (step @p65 :rule trans :premises (@p64 @p63))
% 0.38/0.66  (step @p66 :rule refl :args (@t208))
% 0.38/0.66  (step @p67 :rule refl :args (@t210))
% 0.38/0.66  (step @p68 :rule nary_cong :premises (@p67 @p66 @p65) :args (@t255))
% 0.38/0.66  (step @p69 :rule cong :premises (@p68) :args (@t256))
% 0.38/0.66  (step @p70 :rule trans :premises (@p69 @p56))
% 0.38/0.66  (step @p71 :rule cong :premises (@p70) :args (@t257))
% 0.38/0.66  (step @p72 :rule cong :premises (@p13 @p71) :args (@t258))
% 0.38/0.66  (step @p73 :rule cong :premises (@p72) :args ((not @t258)))
% 0.38/0.66  (step @p74 :rule refl :args (@t1))
% 0.38/0.66  (step @p75 :rule refl :args (@t57))
% 0.38/0.66  (step @p76 :rule refl :args (@t6))
% 0.38/0.66  (step @p77 :rule refl :args (@t251))
% 0.38/0.66  (step @p78 :rule refl :args (@t22))
% 0.38/0.66  (step @p79 :rule cong :premises (@p78 @p77) :args ((= @t22 @t251)))
% 0.38/0.66  (step @p80 :rule symm :premises (@p79))
% 0.38/0.66  (step @p81 :rule eq_resolve :premises (@p78 @p80))
% 0.38/0.66  (step @p82 :rule refl :args (@t194))
% 0.38/0.66  (step @p83 :rule refl :args (@t199))
% 0.38/0.66  (step @p84 :rule nary_cong :premises (@p83 @p82 @p81) :args (@t259))
% 0.38/0.66  (step @p85 :rule cong :premises (@p84) :args ((forall @t38 @t259)))
% 0.38/0.66  (step @p86 :rule refl :args (@t22))
% 0.38/0.66  (step @p87 :rule refl :args (@t193))
% 0.38/0.66  (step @p88 :rule refl :args (@t23))
% 0.38/0.66  (step @p89 :rule cong :premises (@p88 @p87) :args ((= @t23 @t193)))
% 0.38/0.66  (step @p90 :rule symm :premises (@p89))
% 0.38/0.66  (step @p91 :rule eq_resolve :premises (@p88 @p90))
% 0.38/0.66  (step @p92 :rule refl :args (@t178))
% 0.38/0.66  (step @p93 :rule refl :args (@t7))
% 0.38/0.66  (step @p94 :rule cong :premises (@p93 @p92) :args ((= @t7 @t178)))
% 0.38/0.66  (step @p95 :rule symm :premises (@p94))
% 0.38/0.66  (step @p96 :rule eq_resolve :premises (@p93 @p95))
% 0.38/0.66  (step @p97 :rule cong :premises (@p96) :args (@t8))
% 0.38/0.66  (step @p98 :rule nary_cong :premises (@p97 @p91) :args (@t24))
% 0.38/0.66  (step @p99 :rule cong :premises (@p98) :args (@t25))
% 0.38/0.66  (step @p100 :rule cong :premises (@p99) :args (@t26))
% 0.38/0.66  (step @p101 :rule refl :args (@t195))
% 0.38/0.66  (step @p102 :rule refl :args (@t28))
% 0.38/0.66  (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t28 @t195)))
% 0.38/0.66  (step @p104 :rule symm :premises (@p103))
% 0.38/0.66  (step @p105 :rule eq_resolve :premises (@p102 @p104))
% 0.38/0.66  (step @p106 :rule refl :args (@t196))
% 0.38/0.66  (step @p107 :rule refl :args (@t30))
% 0.38/0.66  (step @p108 :rule cong :premises (@p107 @p106) :args ((= @t30 @t196)))
% 0.38/0.66  (step @p109 :rule symm :premises (@p108))
% 0.38/0.66  (step @p110 :rule eq_resolve :premises (@p107 @p109))
% 0.38/0.66  (step @p111 :rule cong :premises (@p110) :args (@t31))
% 0.38/0.66  (step @p112 :rule refl :args (@t197))
% 0.38/0.66  (step @p113 :rule refl :args (@t32))
% 0.38/0.66  (step @p114 :rule cong :premises (@p113 @p112) :args ((= @t32 @t197)))
% 0.38/0.66  (step @p115 :rule symm :premises (@p114))
% 0.38/0.66  (step @p116 :rule eq_resolve :premises (@p113 @p115))
% 0.38/0.66  (step @p117 :rule cong :premises (@p116) :args (@t33))
% 0.38/0.66  (step @p118 :rule nary_cong :premises (@p117 @p111 @p105) :args (@t34))
% 0.38/0.66  (step @p119 :rule cong :premises (@p118) :args (@t35))
% 0.38/0.66  (step @p120 :rule cong :premises (@p119) :args (@t36))
% 0.38/0.66  (step @p121 :rule nary_cong :premises (@p120 @p100 @p86) :args (@t37))
% 0.38/0.66  (step @p122 :rule cong :premises (@p121) :args (@t39))
% 0.38/0.66  (step @p123 :rule trans :premises (@p122 @p85))
% 0.38/0.66  (step @p124 :rule cong :premises (@p123) :args (@t40))
% 0.38/0.66  (step @p125 :rule refl :args (@t200))
% 0.38/0.66  (step @p126 :rule refl :args (@t42))
% 0.38/0.66  (step @p127 :rule cong :premises (@p126 @p125) :args ((= @t42 @t200)))
% 0.38/0.66  (step @p128 :rule symm :premises (@p127))
% 0.38/0.66  (step @p129 :rule eq_resolve :premises (@p126 @p128))
% 0.38/0.66  (step @p130 :rule refl :args (@t203))
% 0.38/0.66  (step @p131 :rule nary_cong :premises (@p130 @p82 @p129) :args (@t260))
% 0.38/0.66  (step @p132 :rule cong :premises (@p131) :args ((forall @t38 @t260)))
% 0.38/0.66  (step @p133 :rule refl :args (@t42))
% 0.38/0.66  (step @p134 :rule refl :args (@t201))
% 0.38/0.66  (step @p135 :rule refl :args (@t43))
% 0.38/0.66  (step @p136 :rule cong :premises (@p135 @p134) :args ((= @t43 @t201)))
% 0.38/0.66  (step @p137 :rule symm :premises (@p136))
% 0.38/0.66  (step @p138 :rule eq_resolve :premises (@p135 @p137))
% 0.38/0.66  (step @p139 :rule refl :args (@t202))
% 0.38/0.66  (step @p140 :rule refl :args (@t44))
% 0.38/0.66  (step @p141 :rule cong :premises (@p140 @p139) :args ((= @t44 @t202)))
% 0.38/0.66  (step @p142 :rule symm :premises (@p141))
% 0.38/0.66  (step @p143 :rule eq_resolve :premises (@p140 @p142))
% 0.38/0.66  (step @p144 :rule cong :premises (@p143) :args (@t45))
% 0.38/0.66  (step @p145 :rule nary_cong :premises (@p117 @p144 @p138) :args (@t46))
% 0.38/0.66  (step @p146 :rule cong :premises (@p145) :args (@t47))
% 0.38/0.66  (step @p147 :rule cong :premises (@p146) :args (@t48))
% 0.38/0.66  (step @p148 :rule nary_cong :premises (@p147 @p100 @p133) :args (@t49))
% 0.38/0.66  (step @p149 :rule cong :premises (@p148) :args (@t50))
% 0.38/0.66  (step @p150 :rule trans :premises (@p149 @p132))
% 0.38/0.66  (step @p151 :rule cong :premises (@p150) :args (@t51))
% 0.38/0.66  (step @p152 :rule nary_cong :premises (@p151 @p124) :args (@t52))
% 0.38/0.66  (step @p153 :rule cong :premises (@p152) :args (@t54))
% 0.38/0.66  (step @p154 :rule refl :args (@t252))
% 0.38/0.66  (step @p155 :rule refl :args (@t56))
% 0.38/0.66  (step @p156 :rule cong :premises (@p155 @p154) :args ((= @t56 @t252)))
% 0.38/0.66  (step @p157 :rule symm :premises (@p156))
% 0.38/0.66  (step @p158 :rule eq_resolve :premises (@p155 @p157))
% 0.38/0.66  (step @p159 :rule nary_cong :premises (@p83 @p82 @p158) :args (@t261))
% 0.38/0.66  (step @p160 :rule cong :premises (@p159) :args ((forall @t38 @t261)))
% 0.38/0.66  (step @p161 :rule refl :args (@t56))
% 0.38/0.66  (step @p162 :rule nary_cong :premises (@p120 @p100 @p161) :args (@t123))
% 0.38/0.66  (step @p163 :rule cong :premises (@p162) :args (@t124))
% 0.38/0.66  (step @p164 :rule trans :premises (@p163 @p160))
% 0.38/0.66  (step @p165 :rule cong :premises (@p164) :args (@t125))
% 0.38/0.66  (step @p166 :rule refl :args (@t253))
% 0.38/0.66  (step @p167 :rule refl :args (@t61))
% 0.38/0.66  (step @p168 :rule cong :premises (@p167 @p166) :args ((= @t61 @t253)))
% 0.38/0.66  (step @p169 :rule symm :premises (@p168))
% 0.38/0.66  (step @p170 :rule eq_resolve :premises (@p167 @p169))
% 0.38/0.66  (step @p171 :rule nary_cong :premises (@p130 @p82 @p170) :args (@t262))
% 0.38/0.66  (step @p172 :rule cong :premises (@p171) :args ((forall @t38 @t262)))
% 0.38/0.66  (step @p173 :rule refl :args (@t61))
% 0.38/0.66  (step @p174 :rule nary_cong :premises (@p147 @p100 @p173) :args (@t126))
% 0.38/0.66  (step @p175 :rule cong :premises (@p174) :args (@t127))
% 0.38/0.66  (step @p176 :rule trans :premises (@p175 @p172))
% 0.38/0.66  (step @p177 :rule cong :premises (@p176) :args (@t128))
% 0.38/0.66  (step @p178 :rule refl :args (@t63))
% 0.38/0.66  (step @p179 :rule nary_cong :premises (@p178 @p177 @p165 @p153) :args (@t129))
% 0.38/0.66  (step @p180 :rule cong :premises (@p179) :args (@t130))
% 0.38/0.66  (step @p181 :rule cong :premises (@p180) :args (@t132))
% 0.38/0.66  (step @p182 :rule refl :args (tptp.join))
% 0.38/0.66  (step @p183 :rule cong :premises (@p182 @p181) :args (@t133))
% 0.38/0.66  (step @p184 :rule and_elim :premises (@p1) :args (27))
% 0.38/0.66  (step @p185 :rule eq_resolve :premises (@p184 @p183))
% 0.38/0.66  (step @p186 :rule ho_cong :premises (@p185 @p76 @p75 @p74))
% 0.38/0.66  (step @p187 :rule nary_cong :premises (@p67 @p66 @p186) :args (@t264))
% 0.38/0.66  (step @p188 :rule cong :premises (@p187) :args (@t265))
% 0.38/0.66  (step @p189 :rule cong :premises (@p188) :args (@t266))
% 0.38/0.66  (step @p190 :rule refl :args (@t176))
% 0.38/0.66  (step @p191 :rule refl :args (@t87))
% 0.38/0.66  (step @p192 :rule cong :premises (@p191 @p190) :args ((= @t87 @t176)))
% 0.38/0.66  (step @p193 :rule symm :premises (@p192))
% 0.38/0.66  (step @p194 :rule eq_resolve :premises (@p191 @p193))
% 0.38/0.66  (step @p195 :rule refl :args (@t180))
% 0.38/0.66  (step @p196 :rule refl :args (@t184))
% 0.38/0.66  (step @p197 :rule refl :args (@t185))
% 0.38/0.66  (step @p198 :rule refl :args (@t102))
% 0.38/0.66  (step @p199 :rule cong :premises (@p198 @p197) :args ((= @t102 @t185)))
% 0.38/0.66  (step @p200 :rule symm :premises (@p199))
% 0.38/0.66  (step @p201 :rule eq_resolve :premises (@p198 @p200))
% 0.38/0.66  (step @p202 :rule refl :args (@t187))
% 0.38/0.66  (step @p203 :rule refl :args (@t191))
% 0.38/0.66  (step @p204 :rule refl :args (@t207))
% 0.38/0.66  (step @p205 :rule refl :args (@t116))
% 0.38/0.66  (step @p206 :rule cong :premises (@p205 @p204) :args ((= @t116 @t207)))
% 0.38/0.66  (step @p207 :rule symm :premises (@p206))
% 0.38/0.66  (step @p208 :rule eq_resolve :premises (@p205 @p207))
% 0.38/0.66  (step @p209 :rule cong :premises (@p208) :args (@t117))
% 0.38/0.66  (step @p210 :rule refl :args (@t209))
% 0.38/0.66  (step @p211 :rule refl :args (@t84))
% 0.38/0.66  (step @p212 :rule cong :premises (@p211 @p210) :args ((= @t84 @t209)))
% 0.38/0.66  (step @p213 :rule symm :premises (@p212))
% 0.38/0.66  (step @p214 :rule eq_resolve :premises (@p211 @p213))
% 0.38/0.66  (step @p215 :rule cong :premises (@p214) :args (@t85))
% 0.38/0.66  (step @p216 :rule nary_cong :premises (@p215 @p209 @p26 @p23 @p203 @p202 @p201 @p196 @p195 @p194) :args (@t267))
% 0.38/0.66  (step @p217 :rule cong :premises (@p216) :args ((forall @t119 @t267)))
% 0.38/0.66  (step @p218 :rule refl :args (@t87))
% 0.38/0.66  (step @p219 :rule refl :args (@t177))
% 0.38/0.66  (step @p220 :rule refl :args (@t88))
% 0.38/0.66  (step @p221 :rule cong :premises (@p220 @p219) :args ((= @t88 @t177)))
% 0.38/0.66  (step @p222 :rule symm :premises (@p221))
% 0.38/0.66  (step @p223 :rule eq_resolve :premises (@p220 @p222))
% 0.38/0.66  (step @p224 :rule nary_cong :premises (@p97 @p223) :args (@t89))
% 0.38/0.66  (step @p225 :rule cong :premises (@p224) :args (@t90))
% 0.38/0.66  (step @p226 :rule cong :premises (@p225) :args (@t91))
% 0.38/0.66  (step @p227 :rule refl :args (@t181))
% 0.38/0.66  (step @p228 :rule refl :args (@t93))
% 0.38/0.66  (step @p229 :rule cong :premises (@p228 @p227) :args ((= @t93 @t181)))
% 0.38/0.66  (step @p230 :rule symm :premises (@p229))
% 0.38/0.66  (step @p231 :rule eq_resolve :premises (@p228 @p230))
% 0.38/0.66  (step @p232 :rule refl :args (@t182))
% 0.38/0.66  (step @p233 :rule refl :args (@t94))
% 0.38/0.66  (step @p234 :rule cong :premises (@p233 @p232) :args ((= @t94 @t182)))
% 0.38/0.66  (step @p235 :rule symm :premises (@p234))
% 0.38/0.66  (step @p236 :rule eq_resolve :premises (@p233 @p235))
% 0.38/0.66  (step @p237 :rule cong :premises (@p236) :args (@t95))
% 0.38/0.66  (step @p238 :rule refl :args (@t183))
% 0.38/0.66  (step @p239 :rule refl :args (@t96))
% 0.38/0.66  (step @p240 :rule cong :premises (@p239 @p238) :args ((= @t96 @t183)))
% 0.38/0.66  (step @p241 :rule symm :premises (@p240))
% 0.38/0.66  (step @p242 :rule eq_resolve :premises (@p239 @p241))
% 0.38/0.66  (step @p243 :rule cong :premises (@p242) :args (@t97))
% 0.38/0.66  (step @p244 :rule nary_cong :premises (@p243 @p237 @p231) :args (@t98))
% 0.38/0.66  (step @p245 :rule cong :premises (@p244) :args (@t99))
% 0.38/0.66  (step @p246 :rule cong :premises (@p245) :args (@t100))
% 0.38/0.66  (step @p247 :rule refl :args (@t102))
% 0.38/0.66  (step @p248 :rule refl :args (@t186))
% 0.38/0.66  (step @p249 :rule refl :args (@t103))
% 0.38/0.66  (step @p250 :rule cong :premises (@p249 @p248) :args ((= @t103 @t186)))
% 0.38/0.66  (step @p251 :rule symm :premises (@p250))
% 0.38/0.66  (step @p252 :rule eq_resolve :premises (@p249 @p251))
% 0.38/0.66  (step @p253 :rule nary_cong :premises (@p97 @p252) :args (@t104))
% 0.38/0.66  (step @p254 :rule cong :premises (@p253) :args (@t105))
% 0.38/0.66  (step @p255 :rule cong :premises (@p254) :args (@t106))
% 0.38/0.66  (step @p256 :rule refl :args (@t188))
% 0.38/0.66  (step @p257 :rule refl :args (@t108))
% 0.38/0.66  (step @p258 :rule cong :premises (@p257 @p256) :args ((= @t108 @t188)))
% 0.38/0.66  (step @p259 :rule symm :premises (@p258))
% 0.38/0.66  (step @p260 :rule eq_resolve :premises (@p257 @p259))
% 0.38/0.66  (step @p261 :rule refl :args (@t189))
% 0.38/0.66  (step @p262 :rule refl :args (@t109))
% 0.38/0.66  (step @p263 :rule cong :premises (@p262 @p261) :args ((= @t109 @t189)))
% 0.38/0.66  (step @p264 :rule symm :premises (@p263))
% 0.38/0.66  (step @p265 :rule eq_resolve :premises (@p262 @p264))
% 0.38/0.66  (step @p266 :rule cong :premises (@p265) :args (@t110))
% 0.38/0.66  (step @p267 :rule refl :args (@t190))
% 0.38/0.66  (step @p268 :rule refl :args (@t111))
% 0.38/0.66  (step @p269 :rule cong :premises (@p268 @p267) :args ((= @t111 @t190)))
% 0.38/0.66  (step @p270 :rule symm :premises (@p269))
% 0.38/0.66  (step @p271 :rule eq_resolve :premises (@p268 @p270))
% 0.38/0.66  (step @p272 :rule cong :premises (@p271) :args (@t112))
% 0.38/0.66  (step @p273 :rule nary_cong :premises (@p272 @p266 @p260) :args (@t113))
% 0.38/0.66  (step @p274 :rule cong :premises (@p273) :args (@t114))
% 0.38/0.66  (step @p275 :rule cong :premises (@p274) :args (@t115))
% 0.38/0.66  (step @p276 :rule refl :args (@t192))
% 0.38/0.66  (step @p277 :rule refl :args (@t69))
% 0.38/0.66  (step @p278 :rule cong :premises (@p277 @p276) :args ((= @t69 @t192)))
% 0.38/0.66  (step @p279 :rule symm :premises (@p278))
% 0.38/0.66  (step @p280 :rule eq_resolve :premises (@p277 @p279))
% 0.38/0.66  (step @p281 :rule nary_cong :premises (@p83 @p82 @p280) :args (@t268))
% 0.38/0.66  (step @p282 :rule cong :premises (@p281) :args ((forall @t38 @t268)))
% 0.38/0.66  (step @p283 :rule refl :args (@t69))
% 0.38/0.66  (step @p284 :rule nary_cong :premises (@p120 @p100 @p283) :args (@t70))
% 0.38/0.66  (step @p285 :rule cong :premises (@p284) :args (@t71))
% 0.38/0.66  (step @p286 :rule trans :premises (@p285 @p282))
% 0.38/0.66  (step @p287 :rule cong :premises (@p286) :args (@t72))
% 0.38/0.66  (step @p288 :rule nary_cong :premises (@p151 @p287) :args (@t73))
% 0.38/0.66  (step @p289 :rule cong :premises (@p288) :args (@t74))
% 0.38/0.66  (step @p290 :rule cong :premises (@p289) :args (@t75))
% 0.38/0.66  (step @p291 :rule refl :args (@t76))
% 0.38/0.66  (step @p292 :rule refl :args (@t117))
% 0.38/0.66  (step @p293 :rule refl :args (@t85))
% 0.38/0.66  (step @p294 :rule nary_cong :premises (@p293 @p292 @p291 @p290 @p275 @p255 @p247 @p246 @p226 @p218) :args (@t118))
% 0.38/0.66  (step @p295 :rule cong :premises (@p294) :args (@t120))
% 0.38/0.66  (step @p296 :rule trans :premises (@p295 @p217))
% 0.38/0.66  (step @p297 :rule cong :premises (@p296) :args (@t121))
% 0.38/0.66  (step @p298 :rule refl :args (tptp.lconfl))
% 0.38/0.66  (step @p299 :rule cong :premises (@p298 @p297) :args (@t122))
% 0.38/0.66  (step @p300 :rule and_elim :premises (@p1) :args (28))
% 0.38/0.66  (step @p301 :rule eq_resolve :premises (@p300 @p299))
% 0.38/0.66  (step @p302 :rule cong :premises (@p301 @p189) :args (@t269))
% 0.38/0.66  (step @p303 :rule cong :premises (@p302) :args ((not @t269)))
% 0.38/0.66  (step @p304 :rule trans :premises (@p303 @p73))
% 0.38/0.66  (step @p305 :rule refl :args (@t263))
% 0.38/0.66  (step @p306 :rule refl :args (@t170))
% 0.38/0.66  (step @p307 :rule cong :premises (@p306 @p305) :args ((= @t170 @t263)))
% 0.38/0.66  (step @p308 :rule symm :premises (@p307))
% 0.38/0.66  (step @p309 :rule eq_resolve :premises (@p306 @p308))
% 0.38/0.66  (step @p310 :rule nary_cong :premises (@p215 @p209 @p309) :args (@t270))
% 0.38/0.66  (step @p311 :rule cong :premises (@p310) :args ((forall @t147 @t270)))
% 0.38/0.66  (step @p312 :rule aci_norm :args ((= (or (or @t85 @t117) @t170) @t270)))
% 0.38/0.66  (step @p313 :rule bool-and-de-morgan :args (@t84 @t116 true))
% 0.38/0.66  (step @p314 :rule nary_cong :premises (@p313 @p306) :args ((or (not @t171) @t170)))
% 0.38/0.66  (step @p315 :rule trans :premises (@p314 @p312))
% 0.38/0.66  (step @p316 :rule bool-impl-elim :args (@t171 @t170))
% 0.38/0.66  (step @p317 :rule trans :premises (@p316 @p315))
% 0.38/0.66  (step @p318 :rule cong :premises (@p317) :args (@t172))
% 0.38/0.66  (step @p319 :rule trans :premises (@p318 @p311))
% 0.38/0.66  (step @p320 :rule cong :premises (@p319) :args (@t173))
% 0.38/0.66  (step @p321 :rule cong :premises (@p298 @p320) :args (@t174))
% 0.38/0.66  (step @p322 :rule cong :premises (@p321) :args (@t175))
% 0.38/0.66  (step @p323 :rule trans :premises (@p322 @p304 @p19))
% 0.38/0.66  (step @p324 :rule eq_resolve :premises (@p2 @p323))
% 0.38/0.66  (step @p325 :rule eq-symm :args (@t277 @t278))
% 0.38/0.66  (step @p326 :rule eq-refl :args (@t278))
% 0.38/0.66  (step @p327 :rule refl :args (@t278))
% 0.38/0.66  (step @p328 :rule beta-reduce :args (@t279))
% 0.38/0.66  (step @p329 :rule cong :premises (@p328 @p327) :args (@t279))
% 0.38/0.66  (step @p330 :rule trans :premises (@p329 @p326))
% 0.38/0.66  (step @p331 :rule refl :args (@t271))
% 0.38/0.66  (step @p332 :rule ho_cong :premises (@p12 @p331))
% 0.38/0.66  (step @p333 :rule cong :premises (@p332 @p327) :args ((= @t280 @t278)))
% 0.38/0.66  (step @p334 :rule trans :premises (@p333 @p330))
% 0.38/0.66  (step @p335 :rule true_elim :premises (@p334))
% 0.38/0.66  (step @p336 :rule eq-refl :args (@t277))
% 0.38/0.66  (step @p337 :rule refl :args (@t277))
% 0.38/0.66  (step @p338 :rule beta-reduce :args (@t281))
% 0.38/0.66  (step @p339 :rule cong :premises (@p338 @p337) :args (@t281))
% 0.38/0.66  (step @p340 :rule trans :premises (@p339 @p336))
% 0.38/0.66  (step @p341 :rule ho_cong :premises (@p6 @p331))
% 0.38/0.66  (step @p342 :rule cong :premises (@p341 @p337) :args ((= @t282 @t277)))
% 0.38/0.66  (step @p343 :rule trans :premises (@p342 @p340))
% 0.38/0.66  (step @p344 :rule true_elim :premises (@p343))
% 0.38/0.66  (step @p345 :rule cong :premises (@p344 @p335) :args (@t283))
% 0.38/0.66  (step @p346 :rule trans :premises (@p345 @p325))
% 0.38/0.66  (step @p347 :rule cong :premises (@p346) :args (@t284))
% 0.38/0.66  (step @p348 :rule refl :args (@t285))
% 0.38/0.66  (step @p349 :rule nary_cong :premises (@p348 @p347) :args (@t286))
% 0.38/0.66  ; WARNING: add trust step for TRUST
% 0.38/0.66  ; trust TRUST THEORY_LEMMA
% 0.38/0.66  (step @p350 :rule trust :premises () :args (@t286))
% 0.38/0.66  (step @p351 :rule eq_resolve :premises (@p350 @p349))
% 0.38/0.66  (step @p352 :rule chain_m_resolution :premises (@p351 @p324) :args ((not @t287) @t288 (@list @t285)))
% 0.38/0.66  (step @p353 :rule alpha_equiv :args ((forall (@list @t308 @t289 @t290 @t300 @t291) (or (not (_ @t271 @t308 @t290)) (not (_ @t271 @t308 @t289)) (= @t289 @t290) (not (forall (@list @t303) (or (not (forall @t307 (or (not (forall @t302 (or @t306 (not (_ @t304 @t298 @t301)) (_ @t304 @t297 @t301)))) @t305 (_ @t304 @t289 @t303)))) (not (forall @t307 (or (not (forall @t299 (or @t306 (not (_ @t304 @t298 @t296)) (_ @t304 @t297 @t296)))) @t305 (_ @t304 @t290 @t303))))))) (not (forall @t302 (or (not (_ @t300 @t297 @t298)) (not (_ @t300 @t298 @t301)) (_ @t300 @t297 @t301)))) (not (forall @t295 (or @t294 (_ @t300 @t293 @t292)))) (_ @t300 @t289 @t290) (not (forall @t299 (or (not (_ @t291 @t297 @t298)) (not (_ @t291 @t298 @t296)) (_ @t291 @t297 @t296)))) (not (forall @t295 (or @t294 (_ @t291 @t293 @t292)))) (_ @t291 @t290 @t289))) @t309 (@list @t1 @t57 @t19 @t20 @t5 @t4 @t11 @t13 @t16 @t10 @t218 @t213 @t2)))
% 0.38/0.66  (step @p354 :rule alpha_equiv :args (@t278 (@list @t1 @t57 @t19 @t20 @t5 @t4 @t11 @t13 @t16 @t10 @t101 @t86 @t2) @t309))
% 0.38/0.66  (step @p355 :rule trans :premises (@p354 @p353))
% 0.38/0.66  (step @p356 :rule equiv_elim1 :premises (@p355))
% 0.38/0.66  (step @p357 :rule reordering :premises (@p356) :args ((or @t277 @t310)))
% 0.38/0.66  (step @p358 :rule cnf_equiv_neg2 :args (@t287))
% 0.38/0.66  (step @p359 :rule chain_m_resolution :premises (@p358 @p352 @p357) :args (@t310 (@list true false) (@list @t287 @t277)))
% 0.38/0.66  (step @p360 :rule equiv_elim2 :premises (@p355))
% 0.38/0.66  (step @p361 :rule chain_m_resolution :premises (@p360 @p359) :args ((not @t277) @t288 (@list @t278)))
% 0.38/0.66  (step @p362 :rule cnf_equiv_neg1 :args (@t287))
% 0.38/0.66  (step @p363 :rule reordering :premises (@p362) :args ((or @t278 @t277 @t287)))
% 0.38/0.66  (step @p364 false :rule chain_m_resolution :premises (@p363 @p361 @p359 @p352) :args (false (@list true true true) (@list @t277 @t278 @t287)))
% 0.38/0.66  )
% 0.38/0.66  % SZS output end Proof
% 0.38/0.66  % cvc5 exiting
%------------------------------------------------------------------------------