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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : SWV038+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n001.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 09:00:23 AM UTC 2026

% Result   : Theorem 0.46s 0.65s
% Output   : Proof 0.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV038+1 : TPTP v9.2.1. Bugfixed v3.3.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.35  % Computer : n001.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Tue Jun  2 19:54:20 EDT 2026
% 0.17/0.35  % CPUTime  : 
% 0.33/0.52  %----Proving TF0_NAR, FOF, or CNF
% 0.46/0.65  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.46/0.65  % SZS status Theorem
% 0.46/0.65  % SZS output start Proof
% 0.46/0.65  (
% 0.46/0.65  (declare-sort $$unsorted 0)
% 0.46/0.65  (declare-const tptp.s_worst7_init $$unsorted)
% 0.46/0.65  (declare-const tptp.s_best7 $$unsorted)
% 0.46/0.65  (declare-const tptp.simplex7_init $$unsorted)
% 0.46/0.65  (declare-const tptp.s_values7_init $$unsorted)
% 0.46/0.65  (declare-const tptp.s_center7_init $$unsorted)
% 0.46/0.65  (declare-const tptp.pvar1400_init $$unsorted)
% 0.46/0.65  (declare-const tptp.pvar1401_init $$unsorted)
% 0.46/0.65  (declare-const tptp.init $$unsorted)
% 0.46/0.65  (declare-const tptp.pv1413 $$unsorted)
% 0.46/0.65  (declare-const tptp.def $$unsorted)
% 0.46/0.65  (declare-const tptp.use $$unsorted)
% 0.46/0.65  (declare-const tptp.true Bool)
% 0.46/0.65  (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.46/0.65  (declare-const tptp.s_worst7 $$unsorted)
% 0.46/0.65  (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.46/0.65  (declare-const tptp.loopcounter $$unsorted)
% 0.46/0.65  (declare-const tptp.gt (-> $$unsorted $$unsorted Bool))
% 0.46/0.65  (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted))
% 0.46/0.65  (declare-const tptp.s_sworst7_init $$unsorted)
% 0.46/0.65  (declare-const tptp.n3 $$unsorted)
% 0.46/0.65  (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted))
% 0.46/0.65  (declare-const tptp.pred (-> $$unsorted $$unsorted))
% 0.46/0.65  (declare-const tptp.tptp_minus_1 $$unsorted)
% 0.46/0.65  (declare-const tptp.n0 $$unsorted)
% 0.46/0.65  (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted))
% 0.46/0.65  (declare-const tptp.n1 $$unsorted)
% 0.46/0.65  (declare-const tptp.succ (-> $$unsorted $$unsorted))
% 0.46/0.65  (declare-const tptp.n5 $$unsorted)
% 0.46/0.65  (declare-const tptp.s_best7_init $$unsorted)
% 0.46/0.65  (declare-const tptp.lt (-> $$unsorted $$unsorted Bool))
% 0.46/0.65  (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.46/0.65  (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted))
% 0.46/0.65  (declare-const tptp.s_sworst7 $$unsorted)
% 0.46/0.65  (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.46/0.65  (declare-const tptp.geq (-> $$unsorted $$unsorted Bool))
% 0.46/0.65  (declare-const tptp.leq (-> $$unsorted $$unsorted Bool))
% 0.46/0.65  (declare-const tptp.trans (-> $$unsorted $$unsorted))
% 0.46/0.65  (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted))
% 0.46/0.65  (declare-const tptp.inv (-> $$unsorted $$unsorted))
% 0.46/0.65  (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted))
% 0.46/0.65  (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted))
% 0.46/0.65  (declare-const tptp.pvar1402_init $$unsorted)
% 0.46/0.65  (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted))
% 0.46/0.65  (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.46/0.65  (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted))
% 0.46/0.65  (declare-const tptp.tptp_float_0_0 $$unsorted)
% 0.46/0.65  (declare-const tptp.s_try7_init $$unsorted)
% 0.46/0.65  (declare-const tptp.n4 $$unsorted)
% 0.46/0.65  (declare-const tptp.n2 $$unsorted)
% 0.46/0.65  (define @t1 () (@var "Y" $$unsorted))
% 0.46/0.65  (define @t2 () (@var "X" $$unsorted))
% 0.46/0.65  (define @t3 () (= @t2 @t1))
% 0.46/0.65  (define @t4 () (tptp.gt @t1 @t2))
% 0.46/0.65  (define @t5 () (tptp.gt @t2 @t1))
% 0.46/0.65  (define @t6 () (@list @t2 @t1))
% 0.46/0.65  (define @t7 () (@var "Z" $$unsorted))
% 0.46/0.65  (define @t8 () (@list @t2 @t1 @t7))
% 0.46/0.65  (define @t9 () (@list @t2))
% 0.46/0.65  (define @t10 () (tptp.leq @t2 @t1))
% 0.46/0.65  (define @t11 () (tptp.succ @t2))
% 0.46/0.65  (define @t12 () (tptp.succ @t1))
% 0.46/0.65  (define @t13 () (@var "C" $$unsorted))
% 0.46/0.65  (define @t14 () (tptp.uniform_int_rnd @t13 @t2))
% 0.46/0.65  (define @t15 () (tptp.leq tptp.n0 @t2))
% 0.46/0.65  (define @t16 () (@list @t2 @t13))
% 0.46/0.65  (define @t17 () (@var "Val" $$unsorted))
% 0.46/0.65  (define @t18 () (@var "I" $$unsorted))
% 0.46/0.65  (define @t19 () (@var "U" $$unsorted))
% 0.46/0.65  (define @t20 () (@var "L" $$unsorted))
% 0.46/0.65  (define @t21 () (tptp.leq @t18 @t19))
% 0.46/0.65  (define @t22 () (@var "J" $$unsorted))
% 0.46/0.65  (define @t23 () (@var "U2" $$unsorted))
% 0.46/0.65  (define @t24 () (@var "L2" $$unsorted))
% 0.46/0.65  (define @t25 () (@var "U1" $$unsorted))
% 0.46/0.65  (define @t26 () (@var "L1" $$unsorted))
% 0.46/0.65  (define @t27 () (@var "A" $$unsorted))
% 0.46/0.65  (define @t28 () (tptp.trans @t27))
% 0.46/0.65  (define @t29 () (@var "N" $$unsorted))
% 0.46/0.65  (define @t30 () (tptp.leq @t22 @t29))
% 0.46/0.65  (define @t31 () (tptp.leq tptp.n0 @t22))
% 0.46/0.65  (define @t32 () (tptp.leq @t18 @t29))
% 0.46/0.65  (define @t33 () (tptp.leq tptp.n0 @t18))
% 0.46/0.65  (define @t34 () (and @t33 @t32 @t31 @t30))
% 0.46/0.65  (define @t35 () (@list @t18 @t22))
% 0.46/0.65  (define @t36 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t27 @t18 @t22) (tptp.a_select3 @t27 @t22 @t18)))))
% 0.46/0.65  (define @t37 () (@list @t27 @t29))
% 0.46/0.65  (define @t38 () (tptp.inv @t27))
% 0.46/0.65  (define @t39 () (@var "VAL" $$unsorted))
% 0.46/0.65  (define @t40 () (@var "K" $$unsorted))
% 0.46/0.65  (define @t41 () (tptp.tptp_update3 @t27 @t40 @t40 @t39))
% 0.46/0.65  (define @t42 () (@var "B" $$unsorted))
% 0.46/0.65  (define @t43 () (tptp.tptp_madd @t27 @t42))
% 0.46/0.65  (define @t44 () (= (tptp.a_select3 @t42 @t18 @t22) (tptp.a_select3 @t42 @t22 @t18)))
% 0.46/0.65  (define @t45 () (forall @t35 (=> @t34 @t44)))
% 0.46/0.65  (define @t46 () (and @t36 @t45))
% 0.46/0.65  (define @t47 () (@list @t27 @t42 @t29))
% 0.46/0.65  (define @t48 () (tptp.tptp_msub @t27 @t42))
% 0.46/0.65  (define @t49 () (tptp.tptp_mmul @t27 (tptp.tptp_mmul @t42 @t28)))
% 0.46/0.65  (define @t50 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t49 @t18 @t22) (tptp.a_select3 @t49 @t22 @t18)))))
% 0.46/0.65  (define @t51 () (@var "M" $$unsorted))
% 0.46/0.65  (define @t52 () (and @t33 (tptp.leq @t18 @t51) @t31 (tptp.leq @t22 @t51)))
% 0.46/0.65  (define @t53 () (@var "E" $$unsorted))
% 0.46/0.65  (define @t54 () (@var "F" $$unsorted))
% 0.46/0.65  (define @t55 () (@var "D" $$unsorted))
% 0.46/0.65  (define @t56 () (tptp.tptp_madd @t27 (tptp.tptp_mmul @t42 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t13 (tptp.tptp_mmul @t55 (tptp.trans @t13))) (tptp.tptp_mmul @t53 (tptp.tptp_mmul @t54 (tptp.trans @t53)))) (tptp.trans @t42)))))
% 0.46/0.65  (define @t57 () (@var "Body" $$unsorted))
% 0.46/0.65  (define @t58 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t57))
% 0.46/0.65  (define @t59 () (@list @t57))
% 0.46/0.65  (define @t60 () (tptp.succ @t11))
% 0.46/0.65  (define @t61 () (tptp.succ @t60))
% 0.46/0.65  (define @t62 () (tptp.succ @t61))
% 0.46/0.65  (define @t63 () (tptp.succ @t62))
% 0.46/0.65  (define @t64 () (tptp.pred @t2))
% 0.46/0.65  (define @t65 () (@var "V" $$unsorted))
% 0.46/0.65  (define @t66 () (tptp.tptp_update3 @t2 @t19 @t65 @t39))
% 0.46/0.65  (define @t67 () (@var "VAL2" $$unsorted))
% 0.46/0.65  (define @t68 () (not (= @t18 @t19)))
% 0.46/0.65  (define @t69 () (@var "J0" $$unsorted))
% 0.46/0.65  (define @t70 () (@var "I0" $$unsorted))
% 0.46/0.65  (define @t71 () (tptp.leq @t70 @t19))
% 0.46/0.65  (define @t72 () (tptp.leq tptp.n0 @t70))
% 0.46/0.65  (define @t73 () (tptp.tptp_update2 @t2 @t19 @t39))
% 0.46/0.65  (define @t74 () (= tptp.n0 tptp.pv1413))
% 0.46/0.65  (define @t75 () (=> @t74 tptp.true))
% 0.46/0.65  (define @t76 () (and (= tptp.pvar1400_init tptp.init) (= tptp.pvar1401_init tptp.init) (= tptp.pvar1402_init tptp.init)))
% 0.46/0.65  (define @t77 () (tptp.gt tptp.loopcounter tptp.n1))
% 0.46/0.65  (define @t78 () (=> @t77 @t76))
% 0.46/0.65  (define @t79 () (tptp.a_select2 tptp.s_try7_init @t22))
% 0.46/0.65  (define @t80 () (tptp.minus tptp.n3 tptp.n1))
% 0.46/0.65  (define @t81 () (tptp.leq @t22 @t80))
% 0.46/0.65  (define @t82 () (and @t31 @t81))
% 0.46/0.65  (define @t83 () (=> @t82 (= @t79 tptp.init)))
% 0.46/0.65  (define @t84 () (@list @t22))
% 0.46/0.65  (define @t85 () (forall @t84 @t83))
% 0.46/0.65  (define @t86 () (tptp.a_select2 tptp.s_center7_init @t18))
% 0.46/0.65  (define @t87 () (tptp.leq @t18 tptp.n2))
% 0.46/0.65  (define @t88 () (and @t33 @t87))
% 0.46/0.65  (define @t89 () (=> @t88 (= @t86 tptp.init)))
% 0.46/0.65  (define @t90 () (@list @t18))
% 0.46/0.65  (define @t91 () (forall @t90 @t89))
% 0.46/0.65  (define @t92 () (@var "H" $$unsorted))
% 0.46/0.65  (define @t93 () (tptp.a_select2 tptp.s_values7_init @t92))
% 0.46/0.65  (define @t94 () (tptp.leq @t92 tptp.n3))
% 0.46/0.65  (define @t95 () (tptp.leq tptp.n0 @t92))
% 0.46/0.65  (define @t96 () (and @t95 @t94))
% 0.46/0.65  (define @t97 () (=> @t96 (= @t93 tptp.init)))
% 0.46/0.65  (define @t98 () (@list @t92))
% 0.46/0.65  (define @t99 () (forall @t98 @t97))
% 0.46/0.65  (define @t100 () (@var "G" $$unsorted))
% 0.46/0.65  (define @t101 () (tptp.a_select3 tptp.simplex7_init @t100 @t54))
% 0.46/0.65  (define @t102 () (tptp.leq @t100 tptp.n3))
% 0.46/0.65  (define @t103 () (tptp.leq tptp.n0 @t100))
% 0.46/0.65  (define @t104 () (and @t103 @t102))
% 0.46/0.65  (define @t105 () (=> @t104 (= @t101 tptp.init)))
% 0.46/0.65  (define @t106 () (@list @t100))
% 0.46/0.65  (define @t107 () (forall @t106 @t105))
% 0.46/0.65  (define @t108 () (tptp.leq @t54 tptp.n2))
% 0.46/0.65  (define @t109 () (tptp.leq tptp.n0 @t54))
% 0.46/0.65  (define @t110 () (and @t109 @t108))
% 0.46/0.65  (define @t111 () (=> @t110 @t107))
% 0.46/0.65  (define @t112 () (@list @t54))
% 0.46/0.65  (define @t113 () (forall @t112 @t111))
% 0.46/0.65  (define @t114 () (tptp.leq tptp.s_worst7 tptp.n3))
% 0.46/0.65  (define @t115 () (tptp.leq tptp.s_sworst7 tptp.n3))
% 0.46/0.65  (define @t116 () (tptp.leq tptp.s_best7 tptp.n3))
% 0.46/0.65  (define @t117 () (tptp.leq tptp.n0 tptp.s_worst7))
% 0.46/0.65  (define @t118 () (tptp.leq tptp.n0 tptp.s_sworst7))
% 0.46/0.65  (define @t119 () (tptp.leq tptp.n0 tptp.s_best7))
% 0.46/0.65  (define @t120 () (= tptp.s_worst7_init tptp.init))
% 0.46/0.65  (define @t121 () (= tptp.s_sworst7_init tptp.init))
% 0.46/0.65  (define @t122 () (= tptp.s_best7_init tptp.init))
% 0.46/0.65  (define @t123 () (= tptp.init tptp.init))
% 0.46/0.65  (define @t124 () (and @t123 @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t114 @t113 @t99 @t91 @t85 @t78))
% 0.46/0.65  (define @t125 () (not @t74))
% 0.46/0.65  (define @t126 () (=> @t125 @t124))
% 0.46/0.65  (define @t127 () (and @t123 @t126 @t75))
% 0.46/0.65  (define @t128 () (tptp.a_select2 tptp.s_try7_init @t53))
% 0.46/0.65  (define @t129 () (tptp.leq @t53 @t80))
% 0.46/0.65  (define @t130 () (tptp.leq tptp.n0 @t53))
% 0.46/0.65  (define @t131 () (and @t130 @t129))
% 0.46/0.65  (define @t132 () (=> @t131 (= @t128 tptp.init)))
% 0.46/0.65  (define @t133 () (@list @t53))
% 0.46/0.65  (define @t134 () (forall @t133 @t132))
% 0.46/0.65  (define @t135 () (tptp.a_select2 tptp.s_center7_init @t55))
% 0.46/0.65  (define @t136 () (tptp.leq @t55 tptp.n2))
% 0.46/0.65  (define @t137 () (tptp.leq tptp.n0 @t55))
% 0.46/0.65  (define @t138 () (and @t137 @t136))
% 0.46/0.65  (define @t139 () (=> @t138 (= @t135 tptp.init)))
% 0.46/0.65  (define @t140 () (@list @t55))
% 0.46/0.65  (define @t141 () (forall @t140 @t139))
% 0.46/0.65  (define @t142 () (tptp.a_select2 tptp.s_values7_init @t13))
% 0.46/0.65  (define @t143 () (tptp.leq @t13 tptp.n3))
% 0.46/0.65  (define @t144 () (tptp.leq tptp.n0 @t13))
% 0.46/0.65  (define @t145 () (and @t144 @t143))
% 0.46/0.65  (define @t146 () (=> @t145 (= @t142 tptp.init)))
% 0.46/0.65  (define @t147 () (@list @t13))
% 0.46/0.65  (define @t148 () (forall @t147 @t146))
% 0.46/0.65  (define @t149 () (tptp.a_select3 tptp.simplex7_init @t42 @t27))
% 0.46/0.65  (define @t150 () (tptp.leq @t42 tptp.n3))
% 0.46/0.65  (define @t151 () (tptp.leq tptp.n0 @t42))
% 0.46/0.65  (define @t152 () (and @t151 @t150))
% 0.46/0.65  (define @t153 () (=> @t152 (= @t149 tptp.init)))
% 0.46/0.65  (define @t154 () (@list @t42))
% 0.46/0.65  (define @t155 () (forall @t154 @t153))
% 0.46/0.65  (define @t156 () (tptp.leq @t27 tptp.n2))
% 0.46/0.65  (define @t157 () (tptp.leq tptp.n0 @t27))
% 0.46/0.65  (define @t158 () (and @t157 @t156))
% 0.46/0.65  (define @t159 () (=> @t158 @t155))
% 0.46/0.65  (define @t160 () (@list @t27))
% 0.46/0.65  (define @t161 () (forall @t160 @t159))
% 0.46/0.65  (define @t162 () (and @t122 @t121 @t120 @t119 @t118 @t117 @t116 @t115 @t114 @t161 @t148 @t141 @t134 @t78))
% 0.46/0.65  (define @t163 () (=> @t162 @t127))
% 0.46/0.65  (define @t164 () (not @t163))
% 0.46/0.65  (define @t165 () (= @t2 tptp.n4))
% 0.46/0.65  (define @t166 () (= @t2 tptp.n3))
% 0.46/0.65  (define @t167 () (= @t2 tptp.n2))
% 0.46/0.65  (define @t168 () (= @t2 tptp.n1))
% 0.46/0.65  (define @t169 () (= @t2 tptp.n0))
% 0.46/0.65  (define @t170 () (tptp.succ tptp.n0))
% 0.46/0.65  (define @t171 () (tptp.succ @t170))
% 0.46/0.65  (define @t172 () (tptp.succ @t171))
% 0.46/0.65  (define @t173 () (tptp.succ @t172))
% 0.46/0.65  (define @t174 () (and (= tptp.init tptp.pvar1400_init) (= tptp.init tptp.pvar1401_init) (= tptp.init tptp.pvar1402_init)))
% 0.46/0.65  (define @t175 () (=> @t77 @t174))
% 0.46/0.65  (define @t176 () (= tptp.init @t79))
% 0.46/0.65  (define @t177 () (not @t81))
% 0.46/0.65  (define @t178 () (not @t31))
% 0.46/0.65  (define @t179 () (or @t178 @t177 @t176))
% 0.46/0.65  (define @t180 () (forall @t84 @t179))
% 0.46/0.65  (define @t181 () (= tptp.init @t86))
% 0.46/0.65  (define @t182 () (not @t87))
% 0.46/0.65  (define @t183 () (not @t33))
% 0.46/0.65  (define @t184 () (or @t183 @t182 @t181))
% 0.46/0.65  (define @t185 () (forall @t90 @t184))
% 0.46/0.65  (define @t186 () (= tptp.init @t93))
% 0.46/0.65  (define @t187 () (not @t94))
% 0.46/0.65  (define @t188 () (not @t95))
% 0.46/0.65  (define @t189 () (or @t188 @t187 @t186))
% 0.46/0.65  (define @t190 () (forall @t98 @t189))
% 0.46/0.65  (define @t191 () (@var "BOUND_VARIABLE_8528" $$unsorted))
% 0.46/0.65  (define @t192 () (= tptp.init (tptp.a_select3 tptp.simplex7_init @t191 @t54)))
% 0.46/0.65  (define @t193 () (not (tptp.leq @t191 tptp.n3)))
% 0.46/0.65  (define @t194 () (not (tptp.leq tptp.n0 @t191)))
% 0.46/0.65  (define @t195 () (not @t108))
% 0.46/0.65  (define @t196 () (not @t109))
% 0.46/0.65  (define @t197 () (or @t196 @t195 @t194 @t193 @t192))
% 0.46/0.65  (define @t198 () (@list @t54 @t191))
% 0.46/0.65  (define @t199 () (forall @t198 @t197))
% 0.46/0.65  (define @t200 () (= tptp.init tptp.s_worst7_init))
% 0.46/0.65  (define @t201 () (= tptp.init tptp.s_sworst7_init))
% 0.46/0.65  (define @t202 () (= tptp.init tptp.s_best7_init))
% 0.46/0.65  (define @t203 () (and @t202 @t201 @t200 @t119 @t118 @t117 @t116 @t115 @t114 @t199 @t190 @t185 @t180 @t175))
% 0.46/0.65  (define @t204 () (=> @t125 @t203))
% 0.46/0.65  (define @t205 () (or @t194 @t193 @t192))
% 0.46/0.65  (define @t206 () (or @t196 @t195 @t205))
% 0.46/0.65  (define @t207 () (forall @t198 @t206))
% 0.46/0.65  (define @t208 () (@list @t191))
% 0.46/0.65  (define @t209 () (forall @t208 @t206))
% 0.46/0.65  (define @t210 () (forall @t208 @t205))
% 0.46/0.65  (define @t211 () (or @t196 @t195 @t210))
% 0.46/0.65  (define @t212 () (= tptp.init @t101))
% 0.46/0.65  (define @t213 () (not @t102))
% 0.46/0.65  (define @t214 () (not @t103))
% 0.46/0.65  (define @t215 () (or @t214 @t213 @t212))
% 0.46/0.65  (define @t216 () (forall @t106 @t215))
% 0.46/0.65  (define @t217 () (or @t196 @t195 @t216))
% 0.46/0.65  (define @t218 () (= tptp.init @t128))
% 0.46/0.65  (define @t219 () (not @t129))
% 0.46/0.65  (define @t220 () (not @t130))
% 0.46/0.65  (define @t221 () (or @t220 @t219 @t218))
% 0.46/0.65  (define @t222 () (= tptp.init @t135))
% 0.46/0.65  (define @t223 () (not @t136))
% 0.46/0.65  (define @t224 () (not @t137))
% 0.46/0.65  (define @t225 () (or @t224 @t223 @t222))
% 0.46/0.65  (define @t226 () (= tptp.init @t142))
% 0.46/0.65  (define @t227 () (not @t143))
% 0.46/0.65  (define @t228 () (not @t144))
% 0.46/0.65  (define @t229 () (or @t228 @t227 @t226))
% 0.46/0.65  (define @t230 () (@var "BOUND_VARIABLE_8464" $$unsorted))
% 0.46/0.65  (define @t231 () (= tptp.init (tptp.a_select3 tptp.simplex7_init @t230 @t27)))
% 0.46/0.65  (define @t232 () (not (tptp.leq @t230 tptp.n3)))
% 0.46/0.65  (define @t233 () (not (tptp.leq tptp.n0 @t230)))
% 0.46/0.65  (define @t234 () (not @t156))
% 0.46/0.65  (define @t235 () (not @t157))
% 0.46/0.65  (define @t236 () (or @t235 @t234 @t233 @t232 @t231))
% 0.46/0.65  (define @t237 () (or @t233 @t232 @t231))
% 0.46/0.65  (define @t238 () (or @t235 @t234 @t237))
% 0.46/0.65  (define @t239 () (@list @t27 @t230))
% 0.46/0.65  (define @t240 () (forall @t239 @t238))
% 0.46/0.65  (define @t241 () (@list @t230))
% 0.46/0.65  (define @t242 () (forall @t241 @t238))
% 0.46/0.65  (define @t243 () (forall @t241 @t237))
% 0.46/0.65  (define @t244 () (or @t235 @t234 @t243))
% 0.46/0.65  (define @t245 () (= tptp.init @t149))
% 0.46/0.65  (define @t246 () (not @t150))
% 0.46/0.65  (define @t247 () (not @t151))
% 0.46/0.65  (define @t248 () (or @t247 @t246 @t245))
% 0.46/0.65  (define @t249 () (forall @t154 @t248))
% 0.46/0.65  (define @t250 () (or @t235 @t234 @t249))
% 0.46/0.65  (define @t251 () (forall @t133 @t221))
% 0.46/0.65  (define @t252 () (@list false))
% 0.46/0.65  (define @t253 () (forall @t140 @t225))
% 0.46/0.65  (define @t254 () (forall @t147 @t229))
% 0.46/0.65  (define @t255 () (forall @t239 @t236))
% 0.46/0.65  (define @t256 () (@list true))
% 0.46/0.65  (define @t257 () (@list @t175))
% 0.46/0.65  (assume @p1 (forall @t6 (or @t5 @t4 @t3)))
% 0.46/0.65  (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7))))
% 0.46/0.65  (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2))))
% 0.46/0.65  (assume @p4 (forall @t9 (tptp.leq @t2 @t2)))
% 0.46/0.65  (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7))))
% 0.46/0.65  (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4)))
% 0.46/0.65  (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2))))
% 0.46/0.65  (assume @p8 (forall @t6 (=> @t4 @t10)))
% 0.46/0.65  (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4)))
% 0.46/0.65  (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4)))
% 0.46/0.65  (assume @p11 (forall @t9 (tptp.gt @t11 @t2)))
% 0.46/0.65  (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t12))))
% 0.46/0.65  (assume @p13 (forall @t6 (= @t10 (tptp.gt @t12 @t2))))
% 0.46/0.65  (assume @p14 (forall @t16 (=> @t15 (tptp.leq @t14 @t2))))
% 0.46/0.65  (assume @p15 (forall @t16 (=> @t15 (tptp.leq tptp.n0 @t14))))
% 0.46/0.65  (assume @p16 (forall (@list @t18 @t20 @t19 @t17) (=> (and (tptp.leq @t20 @t18) @t21) (= (tptp.a_select2 (tptp.tptp_const_array1 (tptp.dim @t20 @t19) @t17) @t18) @t17))))
% 0.46/0.65  (assume @p17 (forall (@list @t18 @t26 @t25 @t22 @t24 @t23 @t17) (=> (and (tptp.leq @t26 @t18) (tptp.leq @t18 @t25) (tptp.leq @t24 @t22) (tptp.leq @t22 @t23)) (= (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim @t26 @t25) (tptp.dim @t24 @t23) @t17) @t18 @t22) @t17))))
% 0.46/0.65  (assume @p18 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t28 @t18 @t22) (tptp.a_select3 @t28 @t22 @t18)))))))
% 0.46/0.65  (assume @p19 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t38 @t18 @t22) (tptp.a_select3 @t38 @t22 @t18)))))))
% 0.46/0.65  (assume @p20 (forall @t37 (=> @t36 (forall (@list @t18 @t22 @t40 @t39) (=> (and @t33 @t32 @t31 @t30 (tptp.leq tptp.n0 @t40) (tptp.leq @t40 @t29)) (= (tptp.a_select3 @t41 @t18 @t22) (tptp.a_select3 @t41 @t22 @t18)))))))
% 0.46/0.65  (assume @p21 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t43 @t18 @t22) (tptp.a_select3 @t43 @t22 @t18)))))))
% 0.46/0.65  (assume @p22 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t48 @t18 @t22) (tptp.a_select3 @t48 @t22 @t18)))))))
% 0.46/0.65  (assume @p23 (forall @t47 (=> @t45 @t50)))
% 0.46/0.65  (assume @p24 (forall (@list @t27 @t42 @t29 @t51) (=> (forall @t35 (=> @t52 @t44)) @t50)))
% 0.46/0.65  (assume @p25 (forall (@list @t27 @t42 @t13 @t55 @t53 @t54 @t29 @t51) (=> (and (forall @t35 (=> @t52 (= (tptp.a_select3 @t55 @t18 @t22) (tptp.a_select3 @t55 @t22 @t18)))) @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t54 @t18 @t22) (tptp.a_select3 @t54 @t22 @t18))))) (forall @t35 (=> @t34 (= (tptp.a_select3 @t56 @t18 @t22) (tptp.a_select3 @t56 @t22 @t18)))))))
% 0.46/0.65  (assume @p26 (forall @t59 (= @t58 tptp.n0)))
% 0.46/0.65  (assume @p27 (forall @t59 (= tptp.tptp_float_0_0 @t58)))
% 0.46/0.65  (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0))
% 0.46/0.65  (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t11)))
% 0.46/0.65  (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t11)))
% 0.46/0.65  (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t60)))
% 0.46/0.65  (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t60)))
% 0.46/0.65  (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t61)))
% 0.46/0.65  (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t61)))
% 0.46/0.65  (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t62)))
% 0.46/0.65  (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t62)))
% 0.46/0.65  (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t63)))
% 0.46/0.65  (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t63)))
% 0.46/0.65  (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t64)))
% 0.46/0.65  (assume @p40 (forall @t9 (= (tptp.pred @t11) @t2)))
% 0.46/0.65  (assume @p41 (forall @t9 (= (tptp.succ @t64) @t2)))
% 0.46/0.65  (assume @p42 (forall @t6 (= (tptp.leq @t11 @t12) @t10)))
% 0.46/0.65  (assume @p43 (forall @t6 (=> (tptp.leq @t11 @t1) @t4)))
% 0.46/0.65  (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1))))
% 0.46/0.65  (assume @p45 (forall (@list @t2 @t19 @t65 @t39) (= (tptp.a_select3 @t66 @t19 @t65) @t39)))
% 0.46/0.65  (assume @p46 (forall (@list @t18 @t22 @t19 @t65 @t2 @t39 @t67) (=> (and @t68 (= @t22 @t65) (= (tptp.a_select3 @t2 @t19 @t65) @t39)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t18 @t22 @t67) @t19 @t65) @t39))))
% 0.46/0.65  (assume @p47 (forall (@list @t18 @t22 @t19 @t65 @t2 @t39) (=> (and (forall (@list @t70 @t69) (=> (and @t72 (tptp.leq tptp.n0 @t69) @t71 (tptp.leq @t69 @t65)) (= (tptp.a_select3 @t2 @t70 @t69) @t39))) @t33 @t21 @t31 (tptp.leq @t22 @t65)) (= (tptp.a_select3 @t66 @t18 @t22) @t39))))
% 0.46/0.65  (assume @p48 (forall (@list @t2 @t19 @t39) (= (tptp.a_select2 @t73 @t19) @t39)))
% 0.46/0.65  (assume @p49 (forall (@list @t18 @t19 @t2 @t39 @t67) (=> (and @t68 (= (tptp.a_select2 @t2 @t19) @t39)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t18 @t67) @t19) @t39))))
% 0.46/0.65  (assume @p50 (forall (@list @t18 @t19 @t2 @t39) (=> (and (forall (@list @t70) (=> (and @t72 @t71) (= (tptp.a_select2 @t2 @t70) @t39))) @t33 @t21) (= (tptp.a_select2 @t73 @t18) @t39))))
% 0.46/0.65  (assume @p51 tptp.true)
% 0.46/0.65  (assume @p52 (not (= tptp.def tptp.use)))
% 0.46/0.65  (assume @p53 @t164)
% 0.46/0.65  (assume @p54 (tptp.gt tptp.n5 tptp.n4))
% 0.46/0.65  (assume @p55 (tptp.gt tptp.n4 tptp.tptp_minus_1))
% 0.46/0.65  (assume @p56 (tptp.gt tptp.n5 tptp.tptp_minus_1))
% 0.46/0.65  (assume @p57 (tptp.gt tptp.n0 tptp.tptp_minus_1))
% 0.46/0.65  (assume @p58 (tptp.gt tptp.n1 tptp.tptp_minus_1))
% 0.46/0.65  (assume @p59 (tptp.gt tptp.n2 tptp.tptp_minus_1))
% 0.46/0.65  (assume @p60 (tptp.gt tptp.n3 tptp.tptp_minus_1))
% 0.46/0.65  (assume @p61 (tptp.gt tptp.n4 tptp.n0))
% 0.46/0.65  (assume @p62 (tptp.gt tptp.n5 tptp.n0))
% 0.46/0.65  (assume @p63 (tptp.gt tptp.n1 tptp.n0))
% 0.46/0.65  (assume @p64 (tptp.gt tptp.n2 tptp.n0))
% 0.46/0.65  (assume @p65 (tptp.gt tptp.n3 tptp.n0))
% 0.46/0.65  (assume @p66 (tptp.gt tptp.n4 tptp.n1))
% 0.46/0.65  (assume @p67 (tptp.gt tptp.n5 tptp.n1))
% 0.46/0.65  (assume @p68 (tptp.gt tptp.n2 tptp.n1))
% 0.46/0.65  (assume @p69 (tptp.gt tptp.n3 tptp.n1))
% 0.46/0.65  (assume @p70 (tptp.gt tptp.n4 tptp.n2))
% 0.46/0.65  (assume @p71 (tptp.gt tptp.n5 tptp.n2))
% 0.46/0.65  (assume @p72 (tptp.gt tptp.n3 tptp.n2))
% 0.46/0.65  (assume @p73 (tptp.gt tptp.n4 tptp.n3))
% 0.46/0.65  (assume @p74 (tptp.gt tptp.n5 tptp.n3))
% 0.46/0.65  (assume @p75 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n4)) (or @t169 @t168 @t167 @t166 @t165))))
% 0.46/0.65  (assume @p76 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n5)) (or @t169 @t168 @t167 @t166 @t165 (= @t2 tptp.n5)))))
% 0.46/0.65  (assume @p77 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n0)) @t169)))
% 0.46/0.65  (assume @p78 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n1)) (or @t169 @t168))))
% 0.46/0.65  (assume @p79 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n2)) (or @t169 @t168 @t167))))
% 0.46/0.65  (assume @p80 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n3)) (or @t169 @t168 @t167 @t166))))
% 0.46/0.65  (assume @p81 (= @t173 tptp.n4))
% 0.46/0.65  (assume @p82 (= (tptp.succ @t173) tptp.n5))
% 0.46/0.65  (assume @p83 (= @t170 tptp.n1))
% 0.46/0.65  (assume @p84 (= @t171 tptp.n2))
% 0.46/0.65  (assume @p85 (= @t172 tptp.n3))
% 0.46/0.65  (assume @p86 true)
% 0.46/0.65  (step @p87 :rule aci_norm :args ((= (and true @t204 @t75) (and @t204 @t75))))
% 0.46/0.65  (step @p88 :rule refl :args (@t75))
% 0.46/0.65  (step @p89 :rule aci_norm :args ((= (and true @t202 @t201 @t200 @t119 @t118 @t117 @t116 @t115 @t114 @t199 @t190 @t185 @t180 @t175) @t203)))
% 0.46/0.65  (step @p90 :rule eq-symm :args (tptp.pvar1402_init tptp.init))
% 0.46/0.65  (step @p91 :rule eq-symm :args (tptp.pvar1401_init tptp.init))
% 0.46/0.65  (step @p92 :rule eq-symm :args (tptp.pvar1400_init tptp.init))
% 0.46/0.65  (step @p93 :rule nary_cong :premises (@p92 @p91 @p90) :args (@t76))
% 0.46/0.65  (step @p94 :rule refl :args (@t77))
% 0.46/0.65  (step @p95 :rule cong :premises (@p94 @p93) :args (@t78))
% 0.46/0.65  (step @p96 :rule aci_norm :args ((= (or (or @t178 @t177) @t176) @t179)))
% 0.46/0.65  (step @p97 :rule refl :args (@t176))
% 0.46/0.65  (step @p98 :rule bool-and-de-morgan :args (@t31 @t81 true))
% 0.46/0.65  (step @p99 :rule nary_cong :premises (@p98 @p97) :args ((or (not @t82) @t176)))
% 0.46/0.65  (step @p100 :rule trans :premises (@p99 @p96))
% 0.46/0.65  (step @p101 :rule bool-impl-elim :args (@t82 @t176))
% 0.46/0.65  (step @p102 :rule trans :premises (@p101 @p100))
% 0.46/0.65  (step @p103 :rule cong :premises (@p102) :args ((forall @t84 (=> @t82 @t176))))
% 0.46/0.65  (step @p104 :rule eq-symm :args (@t79 tptp.init))
% 0.46/0.65  (step @p105 :rule refl :args (@t82))
% 0.46/0.65  (step @p106 :rule cong :premises (@p105 @p104) :args (@t83))
% 0.46/0.65  (step @p107 :rule cong :premises (@p106) :args (@t85))
% 0.46/0.65  (step @p108 :rule trans :premises (@p107 @p103))
% 0.46/0.65  (step @p109 :rule aci_norm :args ((= (or (or @t183 @t182) @t181) @t184)))
% 0.46/0.65  (step @p110 :rule refl :args (@t181))
% 0.46/0.65  (step @p111 :rule bool-and-de-morgan :args (@t33 @t87 true))
% 0.46/0.65  (step @p112 :rule nary_cong :premises (@p111 @p110) :args ((or (not @t88) @t181)))
% 0.46/0.65  (step @p113 :rule trans :premises (@p112 @p109))
% 0.46/0.65  (step @p114 :rule bool-impl-elim :args (@t88 @t181))
% 0.46/0.65  (step @p115 :rule trans :premises (@p114 @p113))
% 0.46/0.65  (step @p116 :rule cong :premises (@p115) :args ((forall @t90 (=> @t88 @t181))))
% 0.46/0.65  (step @p117 :rule eq-symm :args (@t86 tptp.init))
% 0.46/0.65  (step @p118 :rule refl :args (@t88))
% 0.46/0.65  (step @p119 :rule cong :premises (@p118 @p117) :args (@t89))
% 0.46/0.65  (step @p120 :rule cong :premises (@p119) :args (@t91))
% 0.46/0.65  (step @p121 :rule trans :premises (@p120 @p116))
% 0.46/0.65  (step @p122 :rule aci_norm :args ((= (or (or @t188 @t187) @t186) @t189)))
% 0.46/0.65  (step @p123 :rule refl :args (@t186))
% 0.46/0.65  (step @p124 :rule bool-and-de-morgan :args (@t95 @t94 true))
% 0.46/0.65  (step @p125 :rule nary_cong :premises (@p124 @p123) :args ((or (not @t96) @t186)))
% 0.46/0.65  (step @p126 :rule trans :premises (@p125 @p122))
% 0.46/0.65  (step @p127 :rule bool-impl-elim :args (@t96 @t186))
% 0.46/0.65  (step @p128 :rule trans :premises (@p127 @p126))
% 0.46/0.65  (step @p129 :rule cong :premises (@p128) :args ((forall @t98 (=> @t96 @t186))))
% 0.46/0.65  (step @p130 :rule eq-symm :args (@t93 tptp.init))
% 0.46/0.65  (step @p131 :rule refl :args (@t96))
% 0.46/0.65  (step @p132 :rule cong :premises (@p131 @p130) :args (@t97))
% 0.46/0.65  (step @p133 :rule cong :premises (@p132) :args (@t99))
% 0.46/0.65  (step @p134 :rule trans :premises (@p133 @p129))
% 0.46/0.65  (step @p135 :rule aci_norm :args ((= @t206 @t197)))
% 0.46/0.65  (step @p136 :rule cong :premises (@p135) :args (@t207))
% 0.46/0.65  (step @p137 :rule quant-merge-prenex :args ((= (forall @t112 @t209) @t207)))
% 0.46/0.65  (step @p138 :rule alpha_equiv :args (@t210 (@list @t191) (@list @t100)))
% 0.46/0.65  (step @p139 :rule refl :args (@t195))
% 0.46/0.65  (step @p140 :rule refl :args (@t196))
% 0.46/0.65  (step @p141 :rule nary_cong :premises (@p140 @p139 @p138) :args (@t211))
% 0.46/0.65  (step @p142 :rule quant-miniscope-or :args ((= @t209 @t211)))
% 0.46/0.65  (step @p143 :rule trans :premises (@p142 @p141))
% 0.46/0.65  (step @p144 :rule symm :premises (@p143))
% 0.46/0.65  (step @p145 :rule cong :premises (@p144) :args ((forall @t112 @t217)))
% 0.46/0.65  (step @p146 :rule trans :premises (@p145 @p137))
% 0.46/0.65  (step @p147 :rule trans :premises (@p146 @p136))
% 0.46/0.65  (step @p148 :rule aci_norm :args ((= (or (or @t196 @t195) @t216) @t217)))
% 0.46/0.65  (step @p149 :rule refl :args (@t216))
% 0.46/0.65  (step @p150 :rule bool-and-de-morgan :args (@t109 @t108 true))
% 0.46/0.65  (step @p151 :rule nary_cong :premises (@p150 @p149) :args ((or (not @t110) @t216)))
% 0.46/0.65  (step @p152 :rule trans :premises (@p151 @p148))
% 0.46/0.65  (step @p153 :rule bool-impl-elim :args (@t110 @t216))
% 0.46/0.65  (step @p154 :rule trans :premises (@p153 @p152))
% 0.46/0.65  (step @p155 :rule cong :premises (@p154) :args ((forall @t112 (=> @t110 @t216))))
% 0.46/0.65  (step @p156 :rule trans :premises (@p155 @p147))
% 0.46/0.65  (step @p157 :rule aci_norm :args ((= (or (or @t214 @t213) @t212) @t215)))
% 0.46/0.65  (step @p158 :rule refl :args (@t212))
% 0.46/0.65  (step @p159 :rule bool-and-de-morgan :args (@t103 @t102 true))
% 0.46/0.65  (step @p160 :rule nary_cong :premises (@p159 @p158) :args ((or (not @t104) @t212)))
% 0.46/0.65  (step @p161 :rule trans :premises (@p160 @p157))
% 0.46/0.65  (step @p162 :rule bool-impl-elim :args (@t104 @t212))
% 0.46/0.65  (step @p163 :rule trans :premises (@p162 @p161))
% 0.46/0.65  (step @p164 :rule cong :premises (@p163) :args ((forall @t106 (=> @t104 @t212))))
% 0.46/0.65  (step @p165 :rule eq-symm :args (@t101 tptp.init))
% 0.46/0.65  (step @p166 :rule refl :args (@t104))
% 0.46/0.65  (step @p167 :rule cong :premises (@p166 @p165) :args (@t105))
% 0.46/0.65  (step @p168 :rule cong :premises (@p167) :args (@t107))
% 0.46/0.65  (step @p169 :rule trans :premises (@p168 @p164))
% 0.46/0.65  (step @p170 :rule refl :args (@t110))
% 0.46/0.65  (step @p171 :rule cong :premises (@p170 @p169) :args (@t111))
% 0.46/0.65  (step @p172 :rule cong :premises (@p171) :args (@t113))
% 0.46/0.65  (step @p173 :rule trans :premises (@p172 @p156))
% 0.46/0.65  (step @p174 :rule refl :args (@t114))
% 0.46/0.65  (step @p175 :rule refl :args (@t115))
% 0.46/0.65  (step @p176 :rule refl :args (@t116))
% 0.46/0.65  (step @p177 :rule refl :args (@t117))
% 0.46/0.65  (step @p178 :rule refl :args (@t118))
% 0.46/0.65  (step @p179 :rule refl :args (@t119))
% 0.46/0.65  (step @p180 :rule eq-symm :args (tptp.s_worst7_init tptp.init))
% 0.46/0.65  (step @p181 :rule eq-symm :args (tptp.s_sworst7_init tptp.init))
% 0.46/0.65  (step @p182 :rule eq-symm :args (tptp.s_best7_init tptp.init))
% 0.46/0.65  (step @p183 :rule eq-refl :args (tptp.init))
% 0.46/0.65  (step @p184 :rule nary_cong :premises (@p183 @p182 @p181 @p180 @p179 @p178 @p177 @p176 @p175 @p174 @p173 @p134 @p121 @p108 @p95) :args (@t124))
% 0.46/0.65  (step @p185 :rule trans :premises (@p184 @p89))
% 0.46/0.65  (step @p186 :rule refl :args (@t125))
% 0.46/0.65  (step @p187 :rule cong :premises (@p186 @p185) :args (@t126))
% 0.46/0.65  (step @p188 :rule nary_cong :premises (@p183 @p187 @p88) :args (@t127))
% 0.46/0.65  (step @p189 :rule trans :premises (@p188 @p87))
% 0.46/0.65  (step @p190 :rule aci_norm :args ((= (or (or @t220 @t219) @t218) @t221)))
% 0.46/0.65  (step @p191 :rule refl :args (@t218))
% 0.46/0.65  (step @p192 :rule bool-and-de-morgan :args (@t130 @t129 true))
% 0.46/0.65  (step @p193 :rule nary_cong :premises (@p192 @p191) :args ((or (not @t131) @t218)))
% 0.46/0.65  (step @p194 :rule trans :premises (@p193 @p190))
% 0.46/0.65  (step @p195 :rule bool-impl-elim :args (@t131 @t218))
% 0.46/0.65  (step @p196 :rule trans :premises (@p195 @p194))
% 0.46/0.65  (step @p197 :rule cong :premises (@p196) :args ((forall @t133 (=> @t131 @t218))))
% 0.46/0.65  (step @p198 :rule eq-symm :args (@t128 tptp.init))
% 0.46/0.65  (step @p199 :rule refl :args (@t131))
% 0.46/0.65  (step @p200 :rule cong :premises (@p199 @p198) :args (@t132))
% 0.46/0.65  (step @p201 :rule cong :premises (@p200) :args (@t134))
% 0.46/0.65  (step @p202 :rule trans :premises (@p201 @p197))
% 0.46/0.65  (step @p203 :rule aci_norm :args ((= (or (or @t224 @t223) @t222) @t225)))
% 0.46/0.65  (step @p204 :rule refl :args (@t222))
% 0.46/0.65  (step @p205 :rule bool-and-de-morgan :args (@t137 @t136 true))
% 0.46/0.65  (step @p206 :rule nary_cong :premises (@p205 @p204) :args ((or (not @t138) @t222)))
% 0.46/0.65  (step @p207 :rule trans :premises (@p206 @p203))
% 0.46/0.65  (step @p208 :rule bool-impl-elim :args (@t138 @t222))
% 0.46/0.65  (step @p209 :rule trans :premises (@p208 @p207))
% 0.46/0.65  (step @p210 :rule cong :premises (@p209) :args ((forall @t140 (=> @t138 @t222))))
% 0.46/0.65  (step @p211 :rule eq-symm :args (@t135 tptp.init))
% 0.46/0.65  (step @p212 :rule refl :args (@t138))
% 0.46/0.65  (step @p213 :rule cong :premises (@p212 @p211) :args (@t139))
% 0.46/0.65  (step @p214 :rule cong :premises (@p213) :args (@t141))
% 0.46/0.65  (step @p215 :rule trans :premises (@p214 @p210))
% 0.46/0.65  (step @p216 :rule aci_norm :args ((= (or (or @t228 @t227) @t226) @t229)))
% 0.46/0.65  (step @p217 :rule refl :args (@t226))
% 0.46/0.65  (step @p218 :rule bool-and-de-morgan :args (@t144 @t143 true))
% 0.46/0.65  (step @p219 :rule nary_cong :premises (@p218 @p217) :args ((or (not @t145) @t226)))
% 0.46/0.65  (step @p220 :rule trans :premises (@p219 @p216))
% 0.46/0.65  (step @p221 :rule bool-impl-elim :args (@t145 @t226))
% 0.46/0.65  (step @p222 :rule trans :premises (@p221 @p220))
% 0.46/0.65  (step @p223 :rule cong :premises (@p222) :args ((forall @t147 (=> @t145 @t226))))
% 0.46/0.65  (step @p224 :rule eq-symm :args (@t142 tptp.init))
% 0.46/0.65  (step @p225 :rule refl :args (@t145))
% 0.46/0.65  (step @p226 :rule cong :premises (@p225 @p224) :args (@t146))
% 0.46/0.65  (step @p227 :rule cong :premises (@p226) :args (@t148))
% 0.46/0.65  (step @p228 :rule trans :premises (@p227 @p223))
% 0.46/0.65  (step @p229 :rule aci_norm :args ((= @t238 @t236)))
% 0.46/0.65  (step @p230 :rule cong :premises (@p229) :args (@t240))
% 0.46/0.65  (step @p231 :rule quant-merge-prenex :args ((= (forall @t160 @t242) @t240)))
% 0.46/0.65  (step @p232 :rule alpha_equiv :args (@t243 (@list @t230) (@list @t42)))
% 0.46/0.65  (step @p233 :rule refl :args (@t234))
% 0.46/0.65  (step @p234 :rule refl :args (@t235))
% 0.46/0.65  (step @p235 :rule nary_cong :premises (@p234 @p233 @p232) :args (@t244))
% 0.46/0.65  (step @p236 :rule quant-miniscope-or :args ((= @t242 @t244)))
% 0.46/0.65  (step @p237 :rule trans :premises (@p236 @p235))
% 0.46/0.65  (step @p238 :rule symm :premises (@p237))
% 0.46/0.65  (step @p239 :rule cong :premises (@p238) :args ((forall @t160 @t250)))
% 0.46/0.65  (step @p240 :rule trans :premises (@p239 @p231))
% 0.46/0.65  (step @p241 :rule trans :premises (@p240 @p230))
% 0.46/0.65  (step @p242 :rule aci_norm :args ((= (or (or @t235 @t234) @t249) @t250)))
% 0.46/0.65  (step @p243 :rule refl :args (@t249))
% 0.46/0.65  (step @p244 :rule bool-and-de-morgan :args (@t157 @t156 true))
% 0.46/0.65  (step @p245 :rule nary_cong :premises (@p244 @p243) :args ((or (not @t158) @t249)))
% 0.46/0.65  (step @p246 :rule trans :premises (@p245 @p242))
% 0.46/0.65  (step @p247 :rule bool-impl-elim :args (@t158 @t249))
% 0.46/0.65  (step @p248 :rule trans :premises (@p247 @p246))
% 0.46/0.65  (step @p249 :rule cong :premises (@p248) :args ((forall @t160 (=> @t158 @t249))))
% 0.46/0.65  (step @p250 :rule trans :premises (@p249 @p241))
% 0.46/0.65  (step @p251 :rule aci_norm :args ((= (or (or @t247 @t246) @t245) @t248)))
% 0.46/0.65  (step @p252 :rule refl :args (@t245))
% 0.46/0.65  (step @p253 :rule bool-and-de-morgan :args (@t151 @t150 true))
% 0.46/0.65  (step @p254 :rule nary_cong :premises (@p253 @p252) :args ((or (not @t152) @t245)))
% 0.46/0.65  (step @p255 :rule trans :premises (@p254 @p251))
% 0.46/0.65  (step @p256 :rule bool-impl-elim :args (@t152 @t245))
% 0.46/0.65  (step @p257 :rule trans :premises (@p256 @p255))
% 0.46/0.65  (step @p258 :rule cong :premises (@p257) :args ((forall @t154 (=> @t152 @t245))))
% 0.46/0.65  (step @p259 :rule eq-symm :args (@t149 tptp.init))
% 0.46/0.65  (step @p260 :rule refl :args (@t152))
% 0.46/0.65  (step @p261 :rule cong :premises (@p260 @p259) :args (@t153))
% 0.46/0.65  (step @p262 :rule cong :premises (@p261) :args (@t155))
% 0.46/0.65  (step @p263 :rule trans :premises (@p262 @p258))
% 0.46/0.65  (step @p264 :rule refl :args (@t158))
% 0.46/0.65  (step @p265 :rule cong :premises (@p264 @p263) :args (@t159))
% 0.46/0.65  (step @p266 :rule cong :premises (@p265) :args (@t161))
% 0.46/0.65  (step @p267 :rule trans :premises (@p266 @p250))
% 0.46/0.65  (step @p268 :rule nary_cong :premises (@p182 @p181 @p180 @p179 @p178 @p177 @p176 @p175 @p174 @p267 @p228 @p215 @p202 @p95) :args (@t162))
% 0.46/0.65  (step @p269 :rule cong :premises (@p268 @p189) :args (@t163))
% 0.46/0.65  (step @p270 :rule cong :premises (@p269) :args (@t164))
% 0.46/0.65  (step @p271 :rule eq_resolve :premises (@p53 @p270))
% 0.46/0.65  (step @p272 :rule not_implies_elim1 :premises (@p271))
% 0.46/0.65  (step @p273 :rule and_elim :premises (@p272) :args (12))
% 0.46/0.65  (step @p274 :rule alpha_equiv :args (@t251 (@list @t53) (@list @t22)))
% 0.46/0.65  (step @p275 :rule equiv_elim1 :premises (@p274))
% 0.46/0.65  (step @p276 :rule reordering :premises (@p275) :args ((or @t180 (not @t251))))
% 0.46/0.65  (step @p277 :rule chain_m_resolution :premises (@p276 @p273) :args (@t180 @t252 (@list @t251)))
% 0.46/0.65  (step @p278 :rule and_elim :premises (@p272) :args (11))
% 0.46/0.65  (step @p279 :rule alpha_equiv :args (@t253 (@list @t55) (@list @t18)))
% 0.46/0.65  (step @p280 :rule equiv_elim1 :premises (@p279))
% 0.46/0.65  (step @p281 :rule reordering :premises (@p280) :args ((or @t185 (not @t253))))
% 0.46/0.65  (step @p282 :rule chain_m_resolution :premises (@p281 @p278) :args (@t185 @t252 (@list @t253)))
% 0.46/0.65  (step @p283 :rule and_elim :premises (@p272) :args (10))
% 0.46/0.65  (step @p284 :rule alpha_equiv :args (@t254 (@list @t13) (@list @t92)))
% 0.46/0.65  (step @p285 :rule equiv_elim1 :premises (@p284))
% 0.46/0.65  (step @p286 :rule reordering :premises (@p285) :args ((or @t190 (not @t254))))
% 0.46/0.65  (step @p287 :rule chain_m_resolution :premises (@p286 @p283) :args (@t190 @t252 (@list @t254)))
% 0.46/0.65  (step @p288 :rule and_elim :premises (@p272) :args (9))
% 0.46/0.65  (step @p289 :rule alpha_equiv :args (@t255 (@list @t230 @t27) (@list @t191 @t54)))
% 0.46/0.65  (step @p290 :rule equiv_elim1 :premises (@p289))
% 0.46/0.65  (step @p291 :rule reordering :premises (@p290) :args ((or @t199 (not @t255))))
% 0.46/0.65  (step @p292 :rule chain_m_resolution :premises (@p291 @p288) :args (@t199 @t252 (@list @t255)))
% 0.46/0.65  (step @p293 :rule and_elim :premises (@p272) :args (8))
% 0.46/0.65  (step @p294 :rule and_elim :premises (@p272) :args (7))
% 0.46/0.65  (step @p295 :rule and_elim :premises (@p272) :args (6))
% 0.46/0.65  (step @p296 :rule and_elim :premises (@p272) :args (5))
% 0.46/0.65  (step @p297 :rule and_elim :premises (@p272) :args (4))
% 0.46/0.65  (step @p298 :rule and_elim :premises (@p272) :args (3))
% 0.46/0.65  (step @p299 :rule and_elim :premises (@p272) :args (2))
% 0.46/0.65  (step @p300 :rule and_elim :premises (@p272) :args (1))
% 0.46/0.65  (step @p301 :rule and_elim :premises (@p272) :args (0))
% 0.46/0.65  (step @p302 :rule cnf_implies_neg2 :args (@t75))
% 0.46/0.65  (step @p303 :rule chain_m_resolution :premises (@p302 @p51) :args (@t75 @t252 (@list tptp.true)))
% 0.46/0.65  (step @p304 :rule not_implies_elim2 :premises (@p271))
% 0.46/0.65  (step @p305 :rule not_and :premises (@p304))
% 0.46/0.65  (step @p306 :rule chain_m_resolution :premises (@p305 @p303) :args ((not @t204) @t252 (@list @t75)))
% 0.46/0.65  (step @p307 :rule cnf_implies_neg2 :args (@t204))
% 0.46/0.65  (step @p308 :rule chain_m_resolution :premises (@p307 @p306) :args ((not @t203) @t256 (@list @t204)))
% 0.46/0.65  (step @p309 :rule cnf_and_neg :args (@t203))
% 0.46/0.65  (step @p310 :rule chain_m_resolution :premises (@p309 @p308 @p301 @p300 @p299 @p298 @p297 @p296 @p295 @p294 @p293 @p292 @p287 @p282 @p277) :args ((not @t175) (@list true false false false false false false false false false false false false false) (@list @t203 @t202 @t201 @t200 @t119 @t118 @t117 @t116 @t115 @t114 @t199 @t190 @t185 @t180)))
% 0.46/0.65  (step @p311 :rule cnf_implies_neg1 :args (@t175))
% 0.46/0.65  (step @p312 :rule reordering :premises (@p311) :args ((or @t77 @t175)))
% 0.46/0.65  (step @p313 :rule chain_m_resolution :premises (@p312 @p310) :args (@t77 @t256 @t257))
% 0.46/0.65  (step @p314 :rule cnf_implies_neg2 :args (@t175))
% 0.46/0.65  (step @p315 :rule chain_m_resolution :premises (@p314 @p310) :args ((not @t174) @t256 @t257))
% 0.46/0.65  (step @p316 :rule and_elim :premises (@p272) :args (13))
% 0.46/0.65  (step @p317 :rule implies_elim :premises (@p316))
% 0.46/0.65  (step @p318 :rule reordering :premises (@p317) :args ((or @t174 (not @t77))))
% 0.46/0.65  (step @p319 false :rule chain_m_resolution :premises (@p318 @p315 @p313) :args (false (@list true false) (@list @t174 @t77)))
% 0.46/0.65  )
% 0.46/0.65  % SZS output end Proof
% 0.46/0.65  % cvc5 exiting
%------------------------------------------------------------------------------