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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GRP624+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:21:03 AM UTC 2026

% Result   : Theorem 0.52s 0.77s
% Output   : Proof 0.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP624+1 : TPTP v9.2.1. Released v3.4.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.34  % Computer : n009.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 01:23:44 EDT 2026
% 0.17/0.34  % CPUTime  : 
% 0.31/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.52/0.77  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.52/0.77  % SZS status Theorem
% 0.52/0.77  % SZS output start Proof
% 0.52/0.77  (
% 0.52/0.77  (declare-sort $$unsorted 0)
% 0.52/0.77  (declare-const tptp.l1_struct_0 (-> $$unsorted Bool))
% 0.52/0.77  (declare-const tptp.m1_fraenkel (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.52/0.77  (declare-const tptp.k1_xboole_0 $$unsorted)
% 0.52/0.77  (declare-const tptp.k1_tarski (-> $$unsorted $$unsorted))
% 0.52/0.77  (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.52/0.77  (declare-const tptp.k1_autgroup (-> $$unsorted $$unsorted))
% 0.52/0.77  (declare-const tptp.k5_relat_1 (-> $$unsorted $$unsorted $$unsorted))
% 0.52/0.77  (declare-const tptp.v3_struct_0 (-> $$unsorted Bool))
% 0.52/0.77  (declare-const tptp.v4_group_1 (-> $$unsorted Bool))
% 0.52/0.77  (declare-const tptp.k4_autgroup (-> $$unsorted $$unsorted))
% 0.52/0.77  (declare-const tptp.v3_group_1 (-> $$unsorted Bool))
% 0.52/0.77  (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted))
% 0.52/0.77  (declare-const tptp.k2_autgroup (-> $$unsorted $$unsorted))
% 0.52/0.77  (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool))
% 0.52/0.77  (declare-const tptp.k2_tarski (-> $$unsorted $$unsorted $$unsorted))
% 0.52/0.78  (declare-const tptp.m2_fraenkel (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool))
% 0.52/0.78  (declare-const tptp.v2_funct_1 (-> $$unsorted Bool))
% 0.52/0.78  (declare-const tptp.l1_group_1 (-> $$unsorted Bool))
% 0.52/0.78  (declare-const tptp.u1_group_1 (-> $$unsorted $$unsorted))
% 0.52/0.78  (declare-const tptp.k7_funct_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.52/0.78  (declare-const tptp.g1_group_1 (-> $$unsorted $$unsorted $$unsorted))
% 0.52/0.78  (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted))
% 0.52/0.78  (declare-const tptp.v1_group_1 (-> $$unsorted Bool))
% 0.52/0.78  (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted))
% 0.52/0.78  (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool))
% 0.52/0.78  (declare-const tptp.k1_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.52/0.78  (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool))
% 0.52/0.78  (declare-const tptp.v1_funct_1 (-> $$unsorted Bool))
% 0.52/0.78  (declare-const tptp.k2_binop_1 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.52/0.78  (declare-const tptp.v2_group_1 (-> $$unsorted Bool))
% 0.52/0.78  (declare-const tptp.v1_relat_1 (-> $$unsorted Bool))
% 0.52/0.78  (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool))
% 0.52/0.78  (declare-const tptp.v1_fraenkel (-> $$unsorted Bool))
% 0.52/0.78  (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.52/0.78  (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.52/0.78  (declare-const tptp.k1_funct_1 (-> $$unsorted $$unsorted $$unsorted))
% 0.52/0.78  (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.52/0.78  (declare-const tptp.k4_tarski (-> $$unsorted $$unsorted $$unsorted))
% 0.52/0.78  (define @t1 () (@var "B" $$unsorted))
% 0.52/0.78  (define @t2 () (@var "C" $$unsorted))
% 0.52/0.78  (define @t3 () (@var "A" $$unsorted))
% 0.52/0.78  (define @t4 () (tptp.u1_struct_0 @t3))
% 0.52/0.78  (define @t5 () (tptp.k2_autgroup @t3))
% 0.52/0.78  (define @t6 () (= (tptp.k1_binop_1 @t5 @t1 @t2) (tptp.k7_funct_2 @t4 @t4 @t4 @t2 @t1)))
% 0.52/0.78  (define @t7 () (tptp.k4_autgroup @t3))
% 0.52/0.78  (define @t8 () (tptp.m2_fraenkel @t2 @t4 @t4 @t7))
% 0.52/0.78  (define @t9 () (@list @t2))
% 0.52/0.78  (define @t10 () (forall @t9 (=> @t8 @t6)))
% 0.52/0.78  (define @t11 () (tptp.m2_fraenkel @t1 @t4 @t4 @t7))
% 0.52/0.78  (define @t12 () (=> @t11 @t10))
% 0.52/0.78  (define @t13 () (@list @t1))
% 0.52/0.78  (define @t14 () (forall @t13 @t12))
% 0.52/0.78  (define @t15 () (tptp.l1_group_1 @t3))
% 0.52/0.78  (define @t16 () (tptp.v4_group_1 @t3))
% 0.52/0.78  (define @t17 () (tptp.v3_group_1 @t3))
% 0.52/0.78  (define @t18 () (tptp.v1_group_1 @t3))
% 0.52/0.78  (define @t19 () (tptp.v3_struct_0 @t3))
% 0.52/0.78  (define @t20 () (not @t19))
% 0.52/0.78  (define @t21 () (and @t20 @t18 @t17 @t16 @t15))
% 0.52/0.78  (define @t22 () (=> @t21 @t14))
% 0.52/0.78  (define @t23 () (@list @t3))
% 0.52/0.78  (define @t24 () (forall @t23 @t22))
% 0.52/0.78  (define @t25 () (not @t24))
% 0.52/0.78  (define @t26 () (tptp.u1_group_1 @t3))
% 0.52/0.78  (define @t27 () (tptp.r2_hidden @t3 @t1))
% 0.52/0.78  (define @t28 () (@list @t3 @t1))
% 0.52/0.78  (define @t29 () (tptp.v1_funct_1 @t1))
% 0.52/0.78  (define @t30 () (tptp.v1_relat_1 @t1))
% 0.52/0.78  (define @t31 () (tptp.m1_subset_1 @t1 @t3))
% 0.52/0.78  (define @t32 () (tptp.v1_fraenkel @t3))
% 0.52/0.78  (define @t33 () (tptp.v1_funct_1 @t3))
% 0.52/0.78  (define @t34 () (tptp.v1_xboole_0 @t3))
% 0.52/0.78  (define @t35 () (tptp.v1_funct_2 @t2 @t3 @t1))
% 0.52/0.78  (define @t36 () (tptp.v1_funct_1 @t2))
% 0.52/0.78  (define @t37 () (and @t36 @t35))
% 0.52/0.78  (define @t38 () (tptp.v1_partfun1 @t2 @t3 @t1))
% 0.52/0.78  (define @t39 () (tptp.m1_relset_1 @t2 @t3 @t1))
% 0.52/0.78  (define @t40 () (@list @t3 @t1 @t2))
% 0.52/0.78  (define @t41 () (tptp.v2_group_1 @t3))
% 0.52/0.78  (define @t42 () (tptp.v1_relat_1 @t2))
% 0.52/0.78  (define @t43 () (tptp.k2_zfmisc_1 @t3 @t1))
% 0.52/0.78  (define @t44 () (tptp.m1_subset_1 @t2 (tptp.k1_zfmisc_1 @t43)))
% 0.52/0.78  (define @t45 () (tptp.v2_funct_1 @t3))
% 0.52/0.78  (define @t46 () (tptp.v1_relat_1 @t3))
% 0.52/0.78  (define @t47 () (and @t46 @t33 @t45))
% 0.52/0.78  (define @t48 () (and @t46 @t34 @t33))
% 0.52/0.78  (define @t49 () (tptp.v1_xboole_0 @t1))
% 0.52/0.78  (define @t50 () (not @t49))
% 0.52/0.78  (define @t51 () (tptp.v1_xboole_0 @t2))
% 0.52/0.78  (define @t52 () (not @t51))
% 0.52/0.78  (define @t53 () (not @t34))
% 0.52/0.78  (define @t54 () (tptp.k2_tarski @t3 @t1))
% 0.52/0.78  (define @t55 () (and @t46 @t33))
% 0.52/0.78  (define @t56 () (@var "D" $$unsorted))
% 0.52/0.78  (define @t57 () (tptp.k1_autgroup @t3))
% 0.52/0.78  (define @t58 () (= (tptp.k2_binop_1 @t57 @t57 @t57 @t1 @t2 @t56) (tptp.k7_funct_2 @t4 @t4 @t4 @t56 @t2)))
% 0.52/0.78  (define @t59 () (tptp.m2_fraenkel @t56 @t4 @t4 @t57))
% 0.52/0.78  (define @t60 () (@list @t56))
% 0.52/0.78  (define @t61 () (forall @t60 (=> @t59 @t58)))
% 0.52/0.78  (define @t62 () (tptp.m2_fraenkel @t2 @t4 @t4 @t57))
% 0.52/0.78  (define @t63 () (=> @t62 @t61))
% 0.52/0.78  (define @t64 () (forall @t9 @t63))
% 0.52/0.78  (define @t65 () (= @t1 @t5))
% 0.52/0.78  (define @t66 () (= @t65 @t64))
% 0.52/0.78  (define @t67 () (tptp.k2_zfmisc_1 @t57 @t57))
% 0.52/0.78  (define @t68 () (tptp.m2_relset_1 @t1 @t67 @t57))
% 0.52/0.78  (define @t69 () (tptp.v1_funct_2 @t1 @t67 @t57))
% 0.52/0.78  (define @t70 () (and @t29 @t69 @t68))
% 0.52/0.78  (define @t71 () (=> @t70 @t66))
% 0.52/0.78  (define @t72 () (forall @t13 @t71))
% 0.52/0.78  (define @t73 () (=> @t21 @t72))
% 0.52/0.78  (define @t74 () (forall @t23 @t73))
% 0.52/0.78  (define @t75 () (tptp.g1_group_1 @t3 @t1))
% 0.52/0.78  (define @t76 () (tptp.v1_group_1 @t75))
% 0.52/0.78  (define @t77 () (tptp.k2_zfmisc_1 @t3 @t3))
% 0.52/0.78  (define @t78 () (tptp.m1_relset_1 @t1 @t77 @t3))
% 0.52/0.78  (define @t79 () (tptp.v1_funct_2 @t1 @t77 @t3))
% 0.52/0.78  (define @t80 () (and @t29 @t79 @t78))
% 0.52/0.78  (define @t81 () (tptp.m1_fraenkel @t57 @t4 @t4))
% 0.52/0.78  (define @t82 () (forall @t23 (=> @t21 @t81)))
% 0.52/0.78  (define @t83 () (and (tptp.v1_funct_1 @t5) (tptp.v1_funct_2 @t5 @t67 @t57) (tptp.m2_relset_1 @t5 @t67 @t57)))
% 0.52/0.78  (define @t84 () (forall @t23 (=> @t21 @t83)))
% 0.52/0.78  (define @t85 () (@var "F" $$unsorted))
% 0.52/0.78  (define @t86 () (@var "E" $$unsorted))
% 0.52/0.78  (define @t87 () (tptp.k2_binop_1 @t3 @t1 @t2 @t56 @t86 @t85))
% 0.52/0.78  (define @t88 () (tptp.m1_subset_1 @t85 @t1))
% 0.52/0.78  (define @t89 () (tptp.m1_subset_1 @t86 @t3))
% 0.52/0.78  (define @t90 () (tptp.m1_relset_1 @t56 @t43 @t2))
% 0.52/0.78  (define @t91 () (tptp.v1_funct_2 @t56 @t43 @t2))
% 0.52/0.78  (define @t92 () (tptp.v1_funct_1 @t56))
% 0.52/0.78  (define @t93 () (and @t53 @t50 @t92 @t91 @t90 @t89 @t88))
% 0.52/0.78  (define @t94 () (@list @t3 @t1 @t2 @t56 @t86 @t85))
% 0.52/0.78  (define @t95 () (tptp.k5_relat_1 @t3 @t1))
% 0.52/0.78  (define @t96 () (tptp.v1_relat_1 @t95))
% 0.52/0.78  (define @t97 () (tptp.k7_funct_2 @t3 @t1 @t2 @t56 @t86))
% 0.52/0.78  (define @t98 () (tptp.v1_funct_2 @t56 @t3 @t1))
% 0.52/0.78  (define @t99 () (and @t50 @t92 @t98 (tptp.m1_relset_1 @t56 @t3 @t1) (tptp.v1_funct_1 @t86) (tptp.v1_funct_2 @t86 @t1 @t2) (tptp.m1_relset_1 @t86 @t1 @t2)))
% 0.52/0.78  (define @t100 () (@list @t3 @t1 @t2 @t56 @t86))
% 0.52/0.78  (define @t101 () (tptp.l1_struct_0 @t3))
% 0.52/0.78  (define @t102 () (forall @t23 (=> @t15 @t101)))
% 0.52/0.78  (define @t103 () (and @t52 (tptp.v1_fraenkel @t2)))
% 0.52/0.78  (define @t104 () (tptp.m1_fraenkel @t2 @t3 @t1))
% 0.52/0.78  (define @t105 () (forall @t40 (=> @t104 @t103)))
% 0.52/0.78  (define @t106 () (tptp.m2_fraenkel @t56 @t3 @t1 @t2))
% 0.52/0.78  (define @t107 () (and @t50 @t104))
% 0.52/0.78  (define @t108 () (tptp.m2_relset_1 @t2 @t3 @t1))
% 0.52/0.78  (define @t109 () (tptp.k2_zfmisc_1 @t4 @t4))
% 0.52/0.78  (define @t110 () (not (tptp.v1_xboole_0 @t4)))
% 0.52/0.78  (define @t111 () (and @t20 @t101))
% 0.52/0.78  (define @t112 () (forall @t23 (=> @t111 @t110)))
% 0.52/0.78  (define @t113 () (= @t87 (tptp.k1_binop_1 @t56 @t86 @t85)))
% 0.52/0.78  (define @t114 () (forall @t94 (=> @t93 @t113)))
% 0.52/0.78  (define @t115 () (forall @t60 (= @t106 (tptp.m1_subset_1 @t56 @t2))))
% 0.52/0.78  (define @t116 () (forall @t40 (=> @t107 @t115)))
% 0.52/0.78  (define @t117 () (forall @t40 (= @t108 @t39)))
% 0.52/0.78  (define @t118 () (tptp.m2_fraenkel @t1 @t4 @t4 @t57))
% 0.52/0.78  (define @t119 () (forall @t13 (=> @t11 @t118)))
% 0.52/0.78  (define @t120 () (=> @t21 @t119))
% 0.52/0.78  (define @t121 () (forall @t23 @t120))
% 0.52/0.78  (define @t122 () (tptp.m1_subset_1 @t3 @t1))
% 0.52/0.78  (define @t123 () (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t2)))
% 0.52/0.78  (define @t124 () (@var "BOUND_VARIABLE_7983" $$unsorted))
% 0.52/0.78  (define @t125 () (@var "BOUND_VARIABLE_8010" $$unsorted))
% 0.52/0.78  (define @t126 () (tptp.k2_binop_1 @t57 @t57 @t57 @t125 @t2 @t124))
% 0.52/0.78  (define @t127 () (tptp.k7_funct_2 @t4 @t4 @t4 @t124 @t2))
% 0.52/0.78  (define @t128 () (not (tptp.m2_fraenkel @t124 @t4 @t4 @t57)))
% 0.52/0.78  (define @t129 () (not @t62))
% 0.52/0.78  (define @t130 () (or @t129 @t128 (= @t126 @t127)))
% 0.52/0.78  (define @t131 () (@list @t2 @t124))
% 0.52/0.78  (define @t132 () (forall @t131 @t130))
% 0.52/0.78  (define @t133 () (= (= @t125 @t5) @t132))
% 0.52/0.78  (define @t134 () (not (tptp.m2_relset_1 @t125 @t67 @t57)))
% 0.52/0.78  (define @t135 () (not (tptp.v1_funct_2 @t125 @t67 @t57)))
% 0.52/0.78  (define @t136 () (not (tptp.v1_funct_1 @t125)))
% 0.52/0.78  (define @t137 () (not @t15))
% 0.52/0.78  (define @t138 () (not @t16))
% 0.52/0.78  (define @t139 () (not @t17))
% 0.52/0.78  (define @t140 () (not @t18))
% 0.52/0.78  (define @t141 () (or @t19 @t140 @t139 @t138 @t137 @t136 @t135 @t134 @t133))
% 0.52/0.78  (define @t142 () (or @t136 @t135 @t134 @t133))
% 0.52/0.78  (define @t143 () (or @t19 @t140 @t139 @t138 @t137 @t142))
% 0.52/0.78  (define @t144 () (@list @t3 @t125))
% 0.52/0.78  (define @t145 () (forall @t144 @t143))
% 0.52/0.78  (define @t146 () (@list @t125))
% 0.52/0.78  (define @t147 () (forall @t146 @t143))
% 0.52/0.78  (define @t148 () (forall @t146 @t142))
% 0.52/0.78  (define @t149 () (@list @t1))
% 0.52/0.78  (define @t150 () (or @t19 @t140 @t139 @t138 @t137 @t148))
% 0.52/0.78  (define @t151 () (= (tptp.k2_binop_1 @t57 @t57 @t57 @t1 @t2 @t124) @t127))
% 0.52/0.78  (define @t152 () (or @t129 @t128 @t151))
% 0.52/0.78  (define @t153 () (= @t65 (forall @t131 @t152)))
% 0.52/0.78  (define @t154 () (not @t68))
% 0.52/0.78  (define @t155 () (not @t69))
% 0.52/0.78  (define @t156 () (not @t29))
% 0.52/0.78  (define @t157 () (or @t156 @t155 @t154 @t153))
% 0.52/0.78  (define @t158 () (forall @t13 @t157))
% 0.52/0.78  (define @t159 () (or @t19 @t140 @t139 @t138 @t137 @t158))
% 0.52/0.78  (define @t160 () (or @t19 @t140 @t139 @t138 @t137))
% 0.52/0.78  (define @t161 () (not @t20))
% 0.52/0.78  (define @t162 () (or @t161 @t140 @t139 @t138 @t137))
% 0.52/0.78  (define @t163 () (not @t21))
% 0.52/0.78  (define @t164 () (or @t156 @t155 @t154))
% 0.52/0.78  (define @t165 () (or @t128 @t151))
% 0.52/0.78  (define @t166 () (or @t129 @t165))
% 0.52/0.78  (define @t167 () (forall @t131 @t166))
% 0.52/0.78  (define @t168 () (@list @t124))
% 0.52/0.78  (define @t169 () (forall @t168 @t166))
% 0.52/0.78  (define @t170 () (forall @t168 @t165))
% 0.52/0.78  (define @t171 () (@list @t56))
% 0.52/0.78  (define @t172 () (or @t129 @t170))
% 0.52/0.78  (define @t173 () (forall @t60 (or (not @t59) @t58)))
% 0.52/0.78  (define @t174 () (@var "BOUND_VARIABLE_7826" $$unsorted))
% 0.52/0.78  (define @t175 () (@var "BOUND_VARIABLE_7828" $$unsorted))
% 0.52/0.78  (define @t176 () (= (tptp.k1_binop_1 @t5 @t174 @t175) (tptp.k7_funct_2 @t4 @t4 @t4 @t175 @t174)))
% 0.52/0.78  (define @t177 () (not (tptp.m2_fraenkel @t175 @t4 @t4 @t7)))
% 0.52/0.78  (define @t178 () (not (tptp.m2_fraenkel @t174 @t4 @t4 @t7)))
% 0.52/0.78  (define @t179 () (or @t19 @t140 @t139 @t138 @t137 @t178 @t177 @t176))
% 0.52/0.78  (define @t180 () (@list @t3 @t174 @t175))
% 0.52/0.78  (define @t181 () (forall @t180 @t179))
% 0.52/0.78  (define @t182 () (@quantifiers_skolemize @t181 0))
% 0.52/0.78  (define @t183 () (tptp.k2_autgroup @t182))
% 0.52/0.78  (define @t184 () (tptp.k1_autgroup @t182))
% 0.52/0.78  (define @t185 () (tptp.u1_struct_0 @t182))
% 0.52/0.78  (define @t186 () (forall @t131 (or (not (tptp.m2_fraenkel @t2 @t185 @t185 @t184)) (not (tptp.m2_fraenkel @t124 @t185 @t185 @t184)) (= (tptp.k7_funct_2 @t185 @t185 @t185 @t124 @t2) (tptp.k2_binop_1 @t184 @t184 @t184 @t183 @t2 @t124)))))
% 0.52/0.78  (define @t187 () (= (= @t183 @t183) @t186))
% 0.52/0.78  (define @t188 () (tptp.k2_zfmisc_1 @t184 @t184))
% 0.52/0.78  (define @t189 () (tptp.m2_relset_1 @t183 @t188 @t184))
% 0.52/0.78  (define @t190 () (not @t189))
% 0.52/0.78  (define @t191 () (tptp.v1_funct_2 @t183 @t188 @t184))
% 0.52/0.78  (define @t192 () (not @t191))
% 0.52/0.78  (define @t193 () (tptp.v1_funct_1 @t183))
% 0.52/0.78  (define @t194 () (not @t193))
% 0.52/0.78  (define @t195 () (tptp.l1_group_1 @t182))
% 0.52/0.78  (define @t196 () (not @t195))
% 0.52/0.78  (define @t197 () (tptp.v4_group_1 @t182))
% 0.52/0.78  (define @t198 () (not @t197))
% 0.52/0.78  (define @t199 () (tptp.v3_group_1 @t182))
% 0.52/0.78  (define @t200 () (not @t199))
% 0.52/0.78  (define @t201 () (tptp.v1_group_1 @t182))
% 0.52/0.78  (define @t202 () (not @t201))
% 0.52/0.78  (define @t203 () (tptp.v3_struct_0 @t182))
% 0.52/0.78  (define @t204 () (or @t203 @t202 @t200 @t198 @t196 @t194 @t192 @t190 @t187))
% 0.52/0.78  (define @t205 () (forall @t144 (or @t19 @t140 @t139 @t138 @t137 @t136 @t135 @t134 (= (= @t5 @t125) (forall @t131 (or @t129 @t128 (= @t127 @t126)))))))
% 0.52/0.78  (define @t206 () (or @t203 @t202 @t200 @t198 @t196 @t194 @t192 @t190 @t186))
% 0.52/0.78  (define @t207 () (@list false))
% 0.52/0.78  (define @t208 () (@list @t182))
% 0.52/0.78  (define @t209 () (or @t178 @t177 @t176))
% 0.52/0.78  (define @t210 () (or @t19 @t140 @t139 @t138 @t137 @t209))
% 0.52/0.78  (define @t211 () (forall @t180 @t210))
% 0.52/0.78  (define @t212 () (@list @t174 @t175))
% 0.52/0.78  (define @t213 () (forall @t212 @t210))
% 0.52/0.78  (define @t214 () (forall @t212 @t209))
% 0.52/0.78  (define @t215 () (@var "BOUND_VARIABLE_7803" $$unsorted))
% 0.52/0.78  (define @t216 () (or @t19 @t140 @t139 @t138 @t137 @t214))
% 0.52/0.78  (define @t217 () (= (tptp.k1_binop_1 @t5 @t1 @t215) (tptp.k7_funct_2 @t4 @t4 @t4 @t215 @t1)))
% 0.52/0.78  (define @t218 () (not (tptp.m2_fraenkel @t215 @t4 @t4 @t7)))
% 0.52/0.78  (define @t219 () (not @t11))
% 0.52/0.78  (define @t220 () (or @t219 @t218 @t217))
% 0.52/0.78  (define @t221 () (@list @t1 @t215))
% 0.52/0.78  (define @t222 () (forall @t221 @t220))
% 0.52/0.78  (define @t223 () (or @t19 @t140 @t139 @t138 @t137 @t222))
% 0.52/0.78  (define @t224 () (or @t218 @t217))
% 0.52/0.78  (define @t225 () (or @t219 @t224))
% 0.52/0.78  (define @t226 () (forall @t221 @t225))
% 0.52/0.78  (define @t227 () (@list @t215))
% 0.52/0.78  (define @t228 () (forall @t227 @t225))
% 0.52/0.78  (define @t229 () (forall @t227 @t224))
% 0.52/0.78  (define @t230 () (or @t219 @t229))
% 0.52/0.78  (define @t231 () (forall @t9 (or (not @t8) @t6)))
% 0.52/0.78  (define @t232 () (@quantifiers_skolemize @t181 1))
% 0.52/0.78  (define @t233 () (@quantifiers_skolemize @t181 2))
% 0.52/0.78  (define @t234 () (tptp.k7_funct_2 @t185 @t185 @t185 @t233 @t232))
% 0.52/0.78  (define @t235 () (tptp.k1_binop_1 @t183 @t232 @t233))
% 0.52/0.78  (define @t236 () (= @t235 @t234))
% 0.52/0.78  (define @t237 () (tptp.k4_autgroup @t182))
% 0.52/0.78  (define @t238 () (tptp.m2_fraenkel @t233 @t185 @t185 @t237))
% 0.52/0.78  (define @t239 () (not @t238))
% 0.52/0.78  (define @t240 () (tptp.m2_fraenkel @t232 @t185 @t185 @t237))
% 0.52/0.78  (define @t241 () (not @t240))
% 0.52/0.78  (define @t242 () (or @t203 @t202 @t200 @t198 @t196 @t241 @t239 @t236))
% 0.52/0.78  (define @t243 () (@list true))
% 0.52/0.78  (define @t244 () (@list @t242))
% 0.52/0.78  (define @t245 () (and @t193 @t191 @t189))
% 0.52/0.78  (define @t246 () (or @t203 @t202 @t200 @t198 @t196 @t245))
% 0.52/0.78  (define @t247 () (@list true false false false false false))
% 0.52/0.78  (define @t248 () (not @t245))
% 0.52/0.78  (define @t249 () (@list @t245))
% 0.52/0.78  (define @t250 () (@var "BOUND_VARIABLE_8313" $$unsorted))
% 0.52/0.78  (define @t251 () (tptp.m2_fraenkel @t250 @t4 @t4 @t57))
% 0.52/0.78  (define @t252 () (not (tptp.m2_fraenkel @t250 @t4 @t4 @t7)))
% 0.52/0.78  (define @t253 () (or @t252 @t251))
% 0.52/0.78  (define @t254 () (or @t19 @t140 @t139 @t138 @t137 @t253))
% 0.52/0.78  (define @t255 () (forall (@list @t3 @t250) @t254))
% 0.52/0.78  (define @t256 () (@list @t250))
% 0.52/0.78  (define @t257 () (forall @t256 @t254))
% 0.52/0.78  (define @t258 () (forall @t256 @t253))
% 0.52/0.78  (define @t259 () (or @t19 @t140 @t139 @t138 @t137 @t258))
% 0.52/0.78  (define @t260 () (forall @t13 (or @t219 @t118)))
% 0.52/0.78  (define @t261 () (or @t19 @t140 @t139 @t138 @t137 @t260))
% 0.52/0.78  (define @t262 () (tptp.m2_fraenkel @t233 @t185 @t185 @t184))
% 0.52/0.78  (define @t263 () (or @t203 @t202 @t200 @t198 @t196 @t239 @t262))
% 0.52/0.78  (define @t264 () (@list true false false false false false false))
% 0.52/0.78  (define @t265 () (tptp.m2_fraenkel @t232 @t185 @t185 @t184))
% 0.52/0.78  (define @t266 () (or @t203 @t202 @t200 @t198 @t196 @t241 @t265))
% 0.52/0.78  (define @t267 () (tptp.k2_binop_1 @t184 @t184 @t184 @t183 @t232 @t233))
% 0.52/0.78  (define @t268 () (= @t234 @t267))
% 0.52/0.78  (define @t269 () (not @t262))
% 0.52/0.78  (define @t270 () (not @t265))
% 0.52/0.78  (define @t271 () (or @t270 @t269 @t268))
% 0.52/0.78  (define @t272 () (not @t88))
% 0.52/0.78  (define @t273 () (not @t89))
% 0.52/0.78  (define @t274 () (not @t90))
% 0.52/0.78  (define @t275 () (not @t91))
% 0.52/0.78  (define @t276 () (not @t92))
% 0.52/0.78  (define @t277 () (or @t34 @t49 @t276 @t275 @t274 @t273 @t272 @t113))
% 0.52/0.78  (define @t278 () (not @t50))
% 0.52/0.78  (define @t279 () (not @t53))
% 0.52/0.78  (define @t280 () (or @t279 @t278 @t276 @t275 @t274 @t273 @t272))
% 0.52/0.78  (define @t281 () (tptp.m1_subset_1 @t233 @t184))
% 0.52/0.78  (define @t282 () (not @t281))
% 0.52/0.78  (define @t283 () (tptp.m1_subset_1 @t232 @t184))
% 0.52/0.78  (define @t284 () (not @t283))
% 0.52/0.78  (define @t285 () (tptp.m1_relset_1 @t183 @t188 @t184))
% 0.52/0.78  (define @t286 () (not @t285))
% 0.52/0.78  (define @t287 () (tptp.v1_xboole_0 @t184))
% 0.52/0.78  (define @t288 () (or @t287 @t287 @t194 @t192 @t286 @t284 @t282 (= @t267 @t235)))
% 0.52/0.78  (define @t289 () (forall @t94 @t277))
% 0.52/0.78  (define @t290 () (= @t235 @t267))
% 0.52/0.78  (define @t291 () (or @t287 @t287 @t194 @t192 @t286 @t284 @t282 @t290))
% 0.52/0.78  (define @t292 () (@var "BOUND_VARIABLE_8293" $$unsorted))
% 0.52/0.78  (define @t293 () (= (tptp.m2_fraenkel @t292 @t3 @t1 @t2) (tptp.m1_subset_1 @t292 @t2)))
% 0.52/0.78  (define @t294 () (not @t104))
% 0.52/0.78  (define @t295 () (or @t49 @t294 @t293))
% 0.52/0.78  (define @t296 () (@list @t292))
% 0.52/0.78  (define @t297 () (forall @t296 @t295))
% 0.52/0.78  (define @t298 () (forall @t296 @t293))
% 0.52/0.78  (define @t299 () (or @t49 @t294 @t298))
% 0.52/0.78  (define @t300 () (or @t49 @t294 @t115))
% 0.52/0.78  (define @t301 () (tptp.m1_fraenkel @t184 @t185 @t185))
% 0.52/0.78  (define @t302 () (or @t203 @t202 @t200 @t198 @t196 @t301))
% 0.52/0.78  (define @t303 () (not @t101))
% 0.52/0.78  (define @t304 () (tptp.l1_struct_0 @t182))
% 0.52/0.78  (define @t305 () (or @t196 @t304))
% 0.52/0.78  (define @t306 () (@list false false))
% 0.52/0.78  (define @t307 () (tptp.v1_xboole_0 @t185))
% 0.52/0.78  (define @t308 () (not @t307))
% 0.52/0.78  (define @t309 () (not @t304))
% 0.52/0.78  (define @t310 () (or @t203 @t309 @t308))
% 0.52/0.78  (define @t311 () (@list true false false))
% 0.52/0.78  (define @t312 () (= @t262 @t281))
% 0.52/0.78  (define @t313 () (not @t301))
% 0.52/0.78  (define @t314 () (or @t307 @t313 @t312))
% 0.52/0.78  (define @t315 () (= @t265 @t283))
% 0.52/0.78  (define @t316 () (or @t307 @t313 @t315))
% 0.52/0.78  (define @t317 () (forall @t40 (= @t39 @t108)))
% 0.52/0.78  (define @t318 () (= @t285 @t189))
% 0.52/0.78  (define @t319 () (= @t189 @t285))
% 0.52/0.78  (define @t320 () (not @t287))
% 0.52/0.78  (define @t321 () (and @t320 (tptp.v1_fraenkel @t184)))
% 0.52/0.78  (define @t322 () (or @t313 @t321))
% 0.52/0.78  (assume @p1 @t25)
% 0.52/0.78  (assume @p2 (forall @t23 (=> @t15 (=> @t18 (= @t3 (tptp.g1_group_1 @t4 @t26))))))
% 0.52/0.78  (assume @p3 (forall @t28 (=> @t27 (not (tptp.r2_hidden @t1 @t3)))))
% 0.52/0.78  (assume @p4 (forall @t23 (=> @t32 (forall @t13 (=> @t31 (and @t30 @t29))))))
% 0.52/0.78  (assume @p5 (forall @t23 (=> @t34 @t33)))
% 0.52/0.78  (assume @p6 (forall @t40 (=> @t39 (=> (and @t36 @t38) @t37))))
% 0.52/0.78  (assume @p7 (forall @t23 (=> @t15 (=> (and @t20 @t17) (and @t20 @t41)))))
% 0.52/0.78  (assume @p8 (forall @t40 (=> @t44 @t42)))
% 0.52/0.78  (assume @p9 (forall @t23 (=> @t48 @t47)))
% 0.52/0.78  (assume @p10 (forall @t28 (=> @t50 (forall @t9 (=> @t39 (=> @t37 (and @t36 @t38 @t35)))))))
% 0.52/0.78  (assume @p11 (forall @t28 (=> (and @t53 @t50) (forall @t9 (=> @t39 (=> @t37 (and @t36 @t52 @t38 @t35)))))))
% 0.52/0.78  (assume @p12 (forall @t28 (= @t54 (tptp.k2_tarski @t1 @t3))))
% 0.52/0.78  (assume @p13 (forall @t23 (=> @t55 (forall (@list @t1 @t2) (= (tptp.k1_binop_1 @t3 @t1 @t2) (tptp.k1_funct_1 @t3 (tptp.k4_tarski @t1 @t2)))))))
% 0.52/0.78  (assume @p14 @t74)
% 0.52/0.78  (assume @p15 (forall @t28 (= (tptp.k4_tarski @t3 @t1) (tptp.k2_tarski @t54 (tptp.k1_tarski @t3)))))
% 0.52/0.78  (assume @p16 (forall @t28 (=> @t80 (and @t76 (tptp.l1_group_1 @t75)))))
% 0.52/0.78  (assume @p17 @t82)
% 0.52/0.78  (assume @p18 true)
% 0.52/0.78  (assume @p19 @t84)
% 0.52/0.78  (assume @p20 (forall @t94 (=> @t93 (tptp.m1_subset_1 @t87 @t2))))
% 0.52/0.78  (assume @p21 (forall @t23 (=> @t21 (tptp.m1_fraenkel @t7 @t4 @t4))))
% 0.52/0.78  (assume @p22 (forall @t28 (=> (and @t46 @t30) @t96)))
% 0.52/0.78  (assume @p23 (forall @t100 (=> @t99 (and (tptp.v1_funct_1 @t97) (tptp.v1_funct_2 @t97 @t3 @t2) (tptp.m2_relset_1 @t97 @t3 @t2)))))
% 0.52/0.78  (assume @p24 @t102)
% 0.52/0.78  (assume @p25 @t105)
% 0.52/0.78  (assume @p26 (forall @t40 (=> @t107 (forall @t60 (=> @t106 (and @t92 @t98 (tptp.m2_relset_1 @t56 @t3 @t1)))))))
% 0.52/0.78  (assume @p27 (forall @t40 (=> @t108 @t44)))
% 0.52/0.78  (assume @p28 (forall @t23 (=> @t15 (and (tptp.v1_funct_1 @t26) (tptp.v1_funct_2 @t26 @t109 @t4) (tptp.m2_relset_1 @t26 @t109 @t4)))))
% 0.52/0.78  (assume @p29 (exists @t23 @t15))
% 0.52/0.78  (assume @p30 (exists @t23 @t101))
% 0.52/0.78  (assume @p31 (forall @t28 (exists @t9 @t104)))
% 0.52/0.78  (assume @p32 (forall @t28 (exists @t9 @t39)))
% 0.52/0.78  (assume @p33 (forall @t23 (exists @t13 @t31)))
% 0.52/0.78  (assume @p34 (forall @t40 (=> @t107 (exists @t60 @t106))))
% 0.52/0.78  (assume @p35 (forall @t28 (exists @t9 @t108)))
% 0.52/0.78  (assume @p36 (forall @t28 (=> (and @t46 @t33 @t30 @t29) (and @t96 (tptp.v1_funct_1 @t95)))))
% 0.52/0.78  (assume @p37 (forall @t28 (=> (and @t53 @t29 @t79 @t78) (and (not (tptp.v3_struct_0 @t75)) @t76))))
% 0.52/0.78  (assume @p38 @t112)
% 0.52/0.78  (assume @p39 (tptp.v1_xboole_0 tptp.k1_xboole_0))
% 0.52/0.78  (assume @p40 (forall @t28 (=> @t80 (forall (@list @t2 @t56) (=> (= @t75 (tptp.g1_group_1 @t2 @t56)) (and (= @t3 @t2) (= @t1 @t56)))))))
% 0.52/0.78  (assume @p41 (exists @t23 (and @t53 @t32)))
% 0.52/0.78  (assume @p42 (exists @t23 @t55))
% 0.52/0.78  (assume @p43 (forall @t28 (exists @t9 (and @t39 @t42 @t36 @t35))))
% 0.52/0.78  (assume @p44 (exists @t23 (and @t15 @t18)))
% 0.52/0.78  (assume @p45 (exists @t23 (and @t46 @t33 @t45 @t34)))
% 0.52/0.78  (assume @p46 (exists @t23 @t34))
% 0.52/0.78  (assume @p47 (exists @t23 @t48))
% 0.52/0.78  (assume @p48 (exists @t23 (and @t15 @t20 @t18)))
% 0.52/0.78  (assume @p49 (forall @t28 (exists @t9 (and @t39 @t42 @t36))))
% 0.52/0.78  (assume @p50 (exists @t23 @t53))
% 0.52/0.78  (assume @p51 (exists @t23 @t47))
% 0.52/0.78  (assume @p52 (exists @t23 (and @t15 @t20 @t18 @t41 @t17 @t16)))
% 0.52/0.78  (assume @p53 (exists @t23 (and @t101 @t20)))
% 0.52/0.78  (assume @p54 (forall @t23 (=> @t111 (exists @t13 (and (tptp.m1_subset_1 @t1 (tptp.k1_zfmisc_1 @t4)) @t50)))))
% 0.52/0.78  (assume @p55 @t114)
% 0.52/0.78  (assume @p56 (forall @t100 (=> @t99 (= @t97 (tptp.k5_relat_1 @t56 @t86)))))
% 0.52/0.78  (assume @p57 @t116)
% 0.52/0.78  (assume @p58 @t117)
% 0.52/0.78  (assume @p59 (forall @t28 (tptp.r1_tarski @t3 @t3)))
% 0.52/0.78  (assume @p60 @t121)
% 0.52/0.78  (assume @p61 (forall @t28 (=> @t27 @t122)))
% 0.52/0.78  (assume @p62 (forall @t28 (=> @t122 (or @t49 @t27))))
% 0.52/0.78  (assume @p63 (forall @t28 (= (tptp.m1_subset_1 @t3 (tptp.k1_zfmisc_1 @t1)) (tptp.r1_tarski @t3 @t1))))
% 0.52/0.78  (assume @p64 (forall @t40 (=> (and @t27 @t123) (tptp.m1_subset_1 @t3 @t2))))
% 0.52/0.78  (assume @p65 (forall @t40 (not (and @t27 @t123 @t51))))
% 0.52/0.78  (assume @p66 (forall @t23 (=> @t34 (= @t3 tptp.k1_xboole_0))))
% 0.52/0.78  (assume @p67 (forall @t28 (not (and @t27 @t49))))
% 0.52/0.78  (assume @p68 (forall @t28 (not (and @t34 (not (= @t3 @t1)) @t49))))
% 0.52/0.78  (step @p69 :rule evaluate :args ((= false true)))
% 0.52/0.78  (step @p70 :rule eq-symm :args (@t126 @t127))
% 0.52/0.78  (step @p71 :rule refl :args (@t128))
% 0.52/0.78  (step @p72 :rule refl :args (@t129))
% 0.52/0.78  (step @p73 :rule nary_cong :premises (@p72 @p71 @p70) :args (@t130))
% 0.52/0.78  (step @p74 :rule cong :premises (@p73) :args (@t132))
% 0.52/0.78  (step @p75 :rule eq-symm :args (@t125 @t5))
% 0.52/0.78  (step @p76 :rule cong :premises (@p75 @p74) :args (@t133))
% 0.52/0.78  (step @p77 :rule refl :args (@t134))
% 0.52/0.78  (step @p78 :rule refl :args (@t135))
% 0.52/0.78  (step @p79 :rule refl :args (@t136))
% 0.52/0.78  (step @p80 :rule refl :args (@t137))
% 0.52/0.78  (step @p81 :rule refl :args (@t138))
% 0.52/0.78  (step @p82 :rule refl :args (@t139))
% 0.52/0.78  (step @p83 :rule refl :args (@t140))
% 0.52/0.78  (step @p84 :rule refl :args (@t19))
% 0.52/0.78  (step @p85 :rule nary_cong :premises (@p84 @p83 @p82 @p81 @p80 @p79 @p78 @p77 @p76) :args (@t141))
% 0.52/0.78  (step @p86 :rule aci_norm :args ((= @t143 @t141)))
% 0.52/0.78  (step @p87 :rule trans :premises (@p86 @p85))
% 0.52/0.78  (step @p88 :rule cong :premises (@p87) :args (@t145))
% 0.52/0.78  (step @p89 :rule quant-merge-prenex :args ((= (forall @t23 @t147) @t145)))
% 0.52/0.78  (step @p90 :rule alpha_equiv :args (@t148 (@list @t125) @t149))
% 0.52/0.78  (step @p91 :rule refl :args (@t137))
% 0.52/0.78  (step @p92 :rule refl :args (@t138))
% 0.52/0.78  (step @p93 :rule refl :args (@t139))
% 0.52/0.78  (step @p94 :rule refl :args (@t140))
% 0.52/0.78  (step @p95 :rule refl :args (@t19))
% 0.52/0.78  (step @p96 :rule nary_cong :premises (@p95 @p94 @p93 @p92 @p91 @p90) :args (@t150))
% 0.52/0.78  (step @p97 :rule quant-miniscope-or :args ((= @t147 @t150)))
% 0.52/0.78  (step @p98 :rule trans :premises (@p97 @p96))
% 0.52/0.78  (step @p99 :rule symm :premises (@p98))
% 0.52/0.78  (step @p100 :rule cong :premises (@p99) :args ((forall @t23 @t159)))
% 0.52/0.78  (step @p101 :rule trans :premises (@p100 @p89))
% 0.52/0.78  (step @p102 :rule trans :premises (@p101 @p88))
% 0.52/0.78  (step @p103 :rule aci_norm :args ((= (or @t160 @t158) @t159)))
% 0.52/0.78  (step @p104 :rule refl :args (@t158))
% 0.52/0.78  (step @p105 :rule bool-double-not-elim :args (@t19))
% 0.52/0.78  (step @p106 :rule nary_cong :premises (@p105 @p94 @p93 @p92 @p91) :args (@t162))
% 0.52/0.78  (step @p107 :rule aci_norm :args ((= (or @t161 (or @t140 (or @t139 (or @t138 @t137)))) @t162)))
% 0.52/0.78  (step @p108 :rule trans :premises (@p107 @p106))
% 0.52/0.78  (step @p109 :rule bool-and-de-morgan :args (@t16 @t15 true))
% 0.52/0.78  (step @p110 :rule nary_cong :premises (@p93 @p109) :args ((or @t139 (not (and @t16 @t15)))))
% 0.52/0.78  (step @p111 :rule bool-and-de-morgan :args (@t17 @t16 (and @t15)))
% 0.52/0.78  (step @p112 :rule trans :premises (@p111 @p110))
% 0.52/0.78  (step @p113 :rule nary_cong :premises (@p94 @p112) :args ((or @t140 (not (and @t17 @t16 @t15)))))
% 0.52/0.78  (step @p114 :rule bool-and-de-morgan :args (@t18 @t17 (and @t16 @t15)))
% 0.52/0.78  (step @p115 :rule trans :premises (@p114 @p113))
% 0.52/0.78  (step @p116 :rule refl :args (@t161))
% 0.52/0.78  (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((or @t161 (not (and @t18 @t17 @t16 @t15)))))
% 0.52/0.78  (step @p118 :rule bool-and-de-morgan :args (@t20 @t18 (and @t17 @t16 @t15)))
% 0.52/0.78  (step @p119 :rule trans :premises (@p118 @p117))
% 0.52/0.78  (step @p120 :rule trans :premises (@p119 @p108))
% 0.52/0.78  (step @p121 :rule nary_cong :premises (@p120 @p104) :args ((or @t163 @t158)))
% 0.52/0.78  (step @p122 :rule trans :premises (@p121 @p103))
% 0.52/0.78  (step @p123 :rule bool-impl-elim :args (@t21 @t158))
% 0.52/0.78  (step @p124 :rule trans :premises (@p123 @p122))
% 0.52/0.78  (step @p125 :rule cong :premises (@p124) :args ((forall @t23 (=> @t21 @t158))))
% 0.52/0.78  (step @p126 :rule trans :premises (@p125 @p102))
% 0.52/0.78  (step @p127 :rule aci_norm :args ((= (or @t164 @t153) @t157)))
% 0.52/0.78  (step @p128 :rule refl :args (@t153))
% 0.52/0.78  (step @p129 :rule aci_norm :args ((= (or @t156 (or @t155 @t154)) @t164)))
% 0.52/0.78  (step @p130 :rule bool-and-de-morgan :args (@t69 @t68 true))
% 0.52/0.78  (step @p131 :rule refl :args (@t156))
% 0.52/0.78  (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or @t156 (not (and @t69 @t68)))))
% 0.52/0.78  (step @p133 :rule bool-and-de-morgan :args (@t29 @t69 (and @t68)))
% 0.52/0.78  (step @p134 :rule trans :premises (@p133 @p132))
% 0.52/0.78  (step @p135 :rule trans :premises (@p134 @p129))
% 0.52/0.78  (step @p136 :rule nary_cong :premises (@p135 @p128) :args ((or (not @t70) @t153)))
% 0.52/0.78  (step @p137 :rule trans :premises (@p136 @p127))
% 0.52/0.78  (step @p138 :rule bool-impl-elim :args (@t70 @t153))
% 0.52/0.78  (step @p139 :rule trans :premises (@p138 @p137))
% 0.52/0.78  (step @p140 :rule cong :premises (@p139) :args ((forall @t13 (=> @t70 @t153))))
% 0.52/0.78  (step @p141 :rule aci_norm :args ((= @t166 @t152)))
% 0.52/0.78  (step @p142 :rule cong :premises (@p141) :args (@t167))
% 0.52/0.78  (step @p143 :rule quant-merge-prenex :args ((= (forall @t9 @t169) @t167)))
% 0.52/0.78  (step @p144 :rule alpha_equiv :args (@t170 (@list @t124) @t171))
% 0.52/0.78  (step @p145 :rule refl :args (@t129))
% 0.52/0.78  (step @p146 :rule nary_cong :premises (@p145 @p144) :args (@t172))
% 0.52/0.78  (step @p147 :rule quant-miniscope-or :args ((= @t169 @t172)))
% 0.52/0.78  (step @p148 :rule trans :premises (@p147 @p146))
% 0.52/0.78  (step @p149 :rule symm :premises (@p148))
% 0.52/0.78  (step @p150 :rule cong :premises (@p149) :args ((forall @t9 (or @t129 @t173))))
% 0.52/0.78  (step @p151 :rule trans :premises (@p150 @p143))
% 0.52/0.78  (step @p152 :rule trans :premises (@p151 @p142))
% 0.52/0.78  (step @p153 :rule bool-impl-elim :args (@t62 @t173))
% 0.52/0.78  (step @p154 :rule cong :premises (@p153) :args ((forall @t9 (=> @t62 @t173))))
% 0.52/0.78  (step @p155 :rule trans :premises (@p154 @p152))
% 0.52/0.78  (step @p156 :rule bool-impl-elim :args (@t59 @t58))
% 0.52/0.78  (step @p157 :rule cong :premises (@p156) :args (@t61))
% 0.52/0.78  (step @p158 :rule refl :args (@t62))
% 0.52/0.78  (step @p159 :rule cong :premises (@p158 @p157) :args (@t63))
% 0.52/0.78  (step @p160 :rule cong :premises (@p159) :args (@t64))
% 0.52/0.78  (step @p161 :rule trans :premises (@p160 @p155))
% 0.52/0.78  (step @p162 :rule refl :args (@t65))
% 0.52/0.78  (step @p163 :rule cong :premises (@p162 @p161) :args (@t66))
% 0.52/0.78  (step @p164 :rule refl :args (@t70))
% 0.52/0.78  (step @p165 :rule cong :premises (@p164 @p163) :args (@t71))
% 0.52/0.78  (step @p166 :rule cong :premises (@p165) :args (@t72))
% 0.52/0.78  (step @p167 :rule trans :premises (@p166 @p140))
% 0.52/0.78  (step @p168 :rule refl :args (@t21))
% 0.52/0.78  (step @p169 :rule cong :premises (@p168 @p167) :args (@t73))
% 0.52/0.78  (step @p170 :rule cong :premises (@p169) :args (@t74))
% 0.52/0.78  (step @p171 :rule trans :premises (@p170 @p126))
% 0.52/0.78  (step @p172 :rule eq_resolve :premises (@p14 @p171))
% 0.52/0.78  (step @p173 :rule bool-eq-true :args (@t186))
% 0.52/0.78  (step @p174 :rule eq-symm :args (true @t186))
% 0.52/0.78  (step @p175 :rule trans :premises (@p174 @p173))
% 0.52/0.78  (step @p176 :rule refl :args (@t186))
% 0.52/0.78  (step @p177 :rule eq-refl :args (@t183))
% 0.52/0.78  (step @p178 :rule cong :premises (@p177 @p176) :args (@t187))
% 0.52/0.78  (step @p179 :rule trans :premises (@p178 @p175))
% 0.52/0.78  (step @p180 :rule refl :args (@t190))
% 0.52/0.78  (step @p181 :rule refl :args (@t192))
% 0.52/0.78  (step @p182 :rule refl :args (@t194))
% 0.52/0.78  (step @p183 :rule refl :args (@t196))
% 0.52/0.78  (step @p184 :rule refl :args (@t198))
% 0.52/0.78  (step @p185 :rule refl :args (@t200))
% 0.52/0.78  (step @p186 :rule refl :args (@t202))
% 0.52/0.78  (step @p187 :rule refl :args (@t203))
% 0.52/0.78  (step @p188 :rule nary_cong :premises (@p187 @p186 @p185 @p184 @p183 @p182 @p181 @p180 @p179) :args (@t204))
% 0.52/0.78  (step @p189 :rule refl :args (@t205))
% 0.52/0.78  (step @p190 :rule cong :premises (@p189 @p188) :args ((=> @t205 @t204)))
% 0.52/0.78  (assume-push @p506 @t205)
% 0.52/0.78  (step @p192 :rule instantiate :premises (@p172) :args ((@list @t182 @t183)))
% 0.52/0.78  (step-pop @p507 :rule scope :premises (@p192))
% 0.52/0.78  (step @p193 :rule process_scope :premises (@p507) :args (@t204))
% 0.52/0.78  (step @p195 :rule eq_resolve :premises (@p193 @p190))
% 0.52/0.78  (step @p196 :rule implies_elim :premises (@p195))
% 0.52/0.78  (step @p197 :rule chain_m_resolution :premises (@p196 @p172) :args (@t206 @t207 (@list @t205)))
% 0.52/0.78  (step @p198 :rule aci_norm :args ((= (or @t160 @t83) (or @t19 @t140 @t139 @t138 @t137 @t83))))
% 0.52/0.78  (step @p199 :rule refl :args (@t83))
% 0.52/0.78  (step @p200 :rule nary_cong :premises (@p120 @p199) :args ((or @t163 @t83)))
% 0.52/0.78  (step @p201 :rule trans :premises (@p200 @p198))
% 0.52/0.78  (step @p202 :rule bool-impl-elim :args (@t21 @t83))
% 0.52/0.78  (step @p203 :rule trans :premises (@p202 @p201))
% 0.52/0.78  (step @p204 :rule cong :premises (@p203) :args (@t84))
% 0.52/0.78  (step @p205 :rule eq_resolve :premises (@p19 @p204))
% 0.52/0.78  (step @p206 :rule instantiate :premises (@p205) :args (@t208))
% 0.52/0.78  (step @p207 :rule aci_norm :args ((= @t210 @t179)))
% 0.52/0.78  (step @p208 :rule cong :premises (@p207) :args (@t211))
% 0.52/0.78  (step @p209 :rule quant-merge-prenex :args ((= (forall @t23 @t213) @t211)))
% 0.52/0.78  (step @p210 :rule alpha_equiv :args (@t214 (@list @t174 @t175) (@list @t1 @t215)))
% 0.52/0.78  (step @p211 :rule nary_cong :premises (@p95 @p94 @p93 @p92 @p91 @p210) :args (@t216))
% 0.52/0.78  (step @p212 :rule quant-miniscope-or :args ((= @t213 @t216)))
% 0.52/0.78  (step @p213 :rule trans :premises (@p212 @p211))
% 0.52/0.78  (step @p214 :rule symm :premises (@p213))
% 0.52/0.78  (step @p215 :rule cong :premises (@p214) :args ((forall @t23 @t223)))
% 0.52/0.78  (step @p216 :rule trans :premises (@p215 @p209))
% 0.52/0.78  (step @p217 :rule trans :premises (@p216 @p208))
% 0.52/0.78  (step @p218 :rule aci_norm :args ((= (or @t160 @t222) @t223)))
% 0.52/0.78  (step @p219 :rule refl :args (@t222))
% 0.52/0.78  (step @p220 :rule nary_cong :premises (@p120 @p219) :args ((or @t163 @t222)))
% 0.52/0.78  (step @p221 :rule trans :premises (@p220 @p218))
% 0.52/0.78  (step @p222 :rule bool-impl-elim :args (@t21 @t222))
% 0.52/0.78  (step @p223 :rule trans :premises (@p222 @p221))
% 0.52/0.78  (step @p224 :rule cong :premises (@p223) :args ((forall @t23 (=> @t21 @t222))))
% 0.52/0.78  (step @p225 :rule trans :premises (@p224 @p217))
% 0.52/0.78  (step @p226 :rule aci_norm :args ((= @t225 @t220)))
% 0.52/0.78  (step @p227 :rule cong :premises (@p226) :args (@t226))
% 0.52/0.78  (step @p228 :rule quant-merge-prenex :args ((= (forall @t13 @t228) @t226)))
% 0.52/0.78  (step @p229 :rule alpha_equiv :args (@t229 (@list @t215) (@list @t2)))
% 0.52/0.78  (step @p230 :rule refl :args (@t219))
% 0.52/0.78  (step @p231 :rule nary_cong :premises (@p230 @p229) :args (@t230))
% 0.52/0.78  (step @p232 :rule quant-miniscope-or :args ((= @t228 @t230)))
% 0.52/0.78  (step @p233 :rule trans :premises (@p232 @p231))
% 0.52/0.78  (step @p234 :rule symm :premises (@p233))
% 0.52/0.78  (step @p235 :rule cong :premises (@p234) :args ((forall @t13 (or @t219 @t231))))
% 0.52/0.78  (step @p236 :rule trans :premises (@p235 @p228))
% 0.52/0.78  (step @p237 :rule trans :premises (@p236 @p227))
% 0.52/0.78  (step @p238 :rule bool-impl-elim :args (@t11 @t231))
% 0.52/0.78  (step @p239 :rule cong :premises (@p238) :args ((forall @t13 (=> @t11 @t231))))
% 0.52/0.78  (step @p240 :rule trans :premises (@p239 @p237))
% 0.52/0.78  (step @p241 :rule bool-impl-elim :args (@t8 @t6))
% 0.52/0.78  (step @p242 :rule cong :premises (@p241) :args (@t10))
% 0.52/0.78  (step @p243 :rule refl :args (@t11))
% 0.52/0.78  (step @p244 :rule cong :premises (@p243 @p242) :args (@t12))
% 0.52/0.78  (step @p245 :rule cong :premises (@p244) :args (@t14))
% 0.52/0.78  (step @p246 :rule trans :premises (@p245 @p240))
% 0.52/0.78  (step @p247 :rule cong :premises (@p168 @p246) :args (@t22))
% 0.52/0.78  (step @p248 :rule cong :premises (@p247) :args (@t24))
% 0.52/0.78  (step @p249 :rule trans :premises (@p248 @p225))
% 0.52/0.78  (step @p250 :rule cong :premises (@p249) :args (@t25))
% 0.52/0.78  (step @p251 :rule eq_resolve :premises (@p1 @p250))
% 0.52/0.78  (step @p252 :rule skolemize :premises (@p251))
% 0.52/0.78  (step @p253 :rule bool-double-not-elim :args (@t195))
% 0.52/0.78  (step @p254 :rule refl :args (@t242))
% 0.52/0.78  (step @p255 :rule nary_cong :premises (@p254 @p253) :args ((or @t242 (not @t196))))
% 0.52/0.78  (step @p256 :rule cnf_or_neg :args (@t242 4))
% 0.52/0.78  (step @p257 :rule eq_resolve :premises (@p256 @p255))
% 0.52/0.78  (step @p258 :rule reordering :premises (@p257) :args ((or @t195 @t242)))
% 0.52/0.78  (step @p259 :rule chain_m_resolution :premises (@p258 @p252) :args (@t195 @t243 @t244))
% 0.52/0.78  (step @p260 :rule bool-double-not-elim :args (@t197))
% 0.52/0.78  (step @p261 :rule nary_cong :premises (@p254 @p260) :args ((or @t242 (not @t198))))
% 0.52/0.78  (step @p262 :rule cnf_or_neg :args (@t242 3))
% 0.52/0.78  (step @p263 :rule eq_resolve :premises (@p262 @p261))
% 0.52/0.78  (step @p264 :rule reordering :premises (@p263) :args ((or @t197 @t242)))
% 0.52/0.78  (step @p265 :rule chain_m_resolution :premises (@p264 @p252) :args (@t197 @t243 @t244))
% 0.52/0.78  (step @p266 :rule bool-double-not-elim :args (@t199))
% 0.52/0.78  (step @p267 :rule nary_cong :premises (@p254 @p266) :args ((or @t242 (not @t200))))
% 0.52/0.78  (step @p268 :rule cnf_or_neg :args (@t242 2))
% 0.52/0.78  (step @p269 :rule eq_resolve :premises (@p268 @p267))
% 0.52/0.78  (step @p270 :rule reordering :premises (@p269) :args ((or @t199 @t242)))
% 0.52/0.78  (step @p271 :rule chain_m_resolution :premises (@p270 @p252) :args (@t199 @t243 @t244))
% 0.52/0.78  (step @p272 :rule bool-double-not-elim :args (@t201))
% 0.52/0.78  (step @p273 :rule nary_cong :premises (@p254 @p272) :args ((or @t242 (not @t202))))
% 0.52/0.78  (step @p274 :rule cnf_or_neg :args (@t242 1))
% 0.52/0.78  (step @p275 :rule eq_resolve :premises (@p274 @p273))
% 0.52/0.78  (step @p276 :rule reordering :premises (@p275) :args ((or @t201 @t242)))
% 0.52/0.78  (step @p277 :rule chain_m_resolution :premises (@p276 @p252) :args (@t201 @t243 @t244))
% 0.52/0.78  (step @p278 :rule cnf_or_neg :args (@t242 0))
% 0.52/0.78  (step @p279 :rule chain_m_resolution :premises (@p278 @p252) :args ((not @t203) @t243 @t244))
% 0.52/0.78  (step @p280 :rule cnf_or_pos :args (@t246))
% 0.52/0.78  (step @p281 :rule reordering :premises (@p280) :args ((or @t203 @t202 @t200 @t198 @t196 @t245 (not @t246))))
% 0.52/0.78  (step @p282 :rule chain_m_resolution :premises (@p281 @p279 @p277 @p271 @p265 @p259 @p206) :args (@t245 @t247 (@list @t203 @t201 @t199 @t197 @t195 @t246)))
% 0.52/0.78  (step @p283 :rule cnf_and_pos :args (@t245 2))
% 0.52/0.78  (step @p284 :rule reordering :premises (@p283) :args ((or @t189 @t248)))
% 0.52/0.78  (step @p285 :rule chain_m_resolution :premises (@p284 @p282) :args (@t189 @t207 @t249))
% 0.52/0.78  (step @p286 :rule cnf_and_pos :args (@t245 1))
% 0.52/0.78  (step @p287 :rule reordering :premises (@p286) :args ((or @t191 @t248)))
% 0.52/0.78  (step @p288 :rule chain_m_resolution :premises (@p287 @p282) :args (@t191 @t207 @t249))
% 0.52/0.78  (step @p289 :rule cnf_and_pos :args (@t245 0))
% 0.52/0.78  (step @p290 :rule reordering :premises (@p289) :args ((or @t193 @t248)))
% 0.52/0.78  (step @p291 :rule chain_m_resolution :premises (@p290 @p282) :args (@t193 @t207 @t249))
% 0.52/0.78  (step @p292 :rule cnf_or_pos :args (@t206))
% 0.52/0.78  (step @p293 :rule reordering :premises (@p292) :args ((or @t203 @t202 @t200 @t198 @t196 @t194 @t192 @t190 @t186 (not @t206))))
% 0.52/0.78  (step @p294 :rule chain_m_resolution :premises (@p293 @p279 @p277 @p271 @p265 @p259 @p291 @p288 @p285 @p197) :args (@t186 (@list true false false false false false false false false) (@list @t203 @t201 @t199 @t197 @t195 @t193 @t191 @t189 @t206)))
% 0.52/0.78  (step @p295 :rule instantiate :premises (@p294) :args ((@list @t232 @t233)))
% 0.52/0.78  (step @p296 :rule aci_norm :args ((= @t254 (or @t19 @t140 @t139 @t138 @t137 @t252 @t251))))
% 0.52/0.78  (step @p297 :rule cong :premises (@p296) :args (@t255))
% 0.52/0.78  (step @p298 :rule quant-merge-prenex :args ((= (forall @t23 @t257) @t255)))
% 0.52/0.78  (step @p299 :rule alpha_equiv :args (@t258 (@list @t250) @t149))
% 0.52/0.78  (step @p300 :rule nary_cong :premises (@p95 @p94 @p93 @p92 @p91 @p299) :args (@t259))
% 0.52/0.78  (step @p301 :rule quant-miniscope-or :args ((= @t257 @t259)))
% 0.52/0.78  (step @p302 :rule trans :premises (@p301 @p300))
% 0.52/0.78  (step @p303 :rule symm :premises (@p302))
% 0.52/0.78  (step @p304 :rule cong :premises (@p303) :args ((forall @t23 @t261)))
% 0.52/0.78  (step @p305 :rule trans :premises (@p304 @p298))
% 0.52/0.78  (step @p306 :rule trans :premises (@p305 @p297))
% 0.52/0.78  (step @p307 :rule aci_norm :args ((= (or @t160 @t260) @t261)))
% 0.52/0.78  (step @p308 :rule refl :args (@t260))
% 0.52/0.78  (step @p309 :rule nary_cong :premises (@p120 @p308) :args ((or @t163 @t260)))
% 0.52/0.78  (step @p310 :rule trans :premises (@p309 @p307))
% 0.52/0.78  (step @p311 :rule bool-impl-elim :args (@t21 @t260))
% 0.52/0.78  (step @p312 :rule trans :premises (@p311 @p310))
% 0.52/0.78  (step @p313 :rule cong :premises (@p312) :args ((forall @t23 (=> @t21 @t260))))
% 0.52/0.78  (step @p314 :rule trans :premises (@p313 @p306))
% 0.52/0.78  (step @p315 :rule bool-impl-elim :args (@t11 @t118))
% 0.52/0.78  (step @p316 :rule cong :premises (@p315) :args (@t119))
% 0.52/0.78  (step @p317 :rule cong :premises (@p168 @p316) :args (@t120))
% 0.52/0.78  (step @p318 :rule cong :premises (@p317) :args (@t121))
% 0.52/0.78  (step @p319 :rule trans :premises (@p318 @p314))
% 0.52/0.78  (step @p320 :rule eq_resolve :premises (@p60 @p319))
% 0.52/0.78  (step @p321 :rule instantiate :premises (@p320) :args ((@list @t182 @t233)))
% 0.52/0.78  (step @p322 :rule bool-double-not-elim :args (@t238))
% 0.52/0.78  (step @p323 :rule nary_cong :premises (@p254 @p322) :args ((or @t242 (not @t239))))
% 0.52/0.78  (step @p324 :rule cnf_or_neg :args (@t242 6))
% 0.52/0.78  (step @p325 :rule eq_resolve :premises (@p324 @p323))
% 0.52/0.78  (step @p326 :rule reordering :premises (@p325) :args ((or @t238 @t242)))
% 0.52/0.78  (step @p327 :rule chain_m_resolution :premises (@p326 @p252) :args (@t238 @t243 @t244))
% 0.52/0.78  (step @p328 :rule cnf_or_pos :args (@t263))
% 0.52/0.78  (step @p329 :rule reordering :premises (@p328) :args ((or @t203 @t202 @t200 @t198 @t196 @t239 @t262 (not @t263))))
% 0.52/0.78  (step @p330 :rule chain_m_resolution :premises (@p329 @p279 @p277 @p271 @p265 @p259 @p327 @p321) :args (@t262 @t264 (@list @t203 @t201 @t199 @t197 @t195 @t238 @t263)))
% 0.52/0.78  (step @p331 :rule instantiate :premises (@p320) :args ((@list @t182 @t232)))
% 0.52/0.78  (step @p332 :rule bool-double-not-elim :args (@t240))
% 0.52/0.78  (step @p333 :rule nary_cong :premises (@p254 @p332) :args ((or @t242 (not @t241))))
% 0.52/0.78  (step @p334 :rule cnf_or_neg :args (@t242 5))
% 0.52/0.78  (step @p335 :rule eq_resolve :premises (@p334 @p333))
% 0.52/0.78  (step @p336 :rule reordering :premises (@p335) :args ((or @t240 @t242)))
% 0.52/0.78  (step @p337 :rule chain_m_resolution :premises (@p336 @p252) :args (@t240 @t243 @t244))
% 0.52/0.78  (step @p338 :rule cnf_or_pos :args (@t266))
% 0.52/0.78  (step @p339 :rule reordering :premises (@p338) :args ((or @t203 @t202 @t200 @t198 @t196 @t241 @t265 (not @t266))))
% 0.52/0.78  (step @p340 :rule chain_m_resolution :premises (@p339 @p279 @p277 @p271 @p265 @p259 @p337 @p331) :args (@t265 @t264 (@list @t203 @t201 @t199 @t197 @t195 @t240 @t266)))
% 0.52/0.78  (step @p341 :rule cnf_or_pos :args (@t271))
% 0.52/0.78  (step @p342 :rule reordering :premises (@p341) :args ((or @t270 @t269 @t268 (not @t271))))
% 0.52/0.78  (step @p343 :rule chain_m_resolution :premises (@p342 @p340 @p330 @p295) :args (@t268 (@list false false false) (@list @t265 @t262 @t271)))
% 0.52/0.78  (step @p344 :rule symm :premises (@p343))
% 0.52/0.78  (step @p345 :rule aci_norm :args ((= (or (or @t34 @t49 @t276 @t275 @t274 @t273 @t272) @t113) @t277)))
% 0.52/0.78  (step @p346 :rule refl :args (@t113))
% 0.52/0.78  (step @p347 :rule refl :args (@t272))
% 0.52/0.78  (step @p348 :rule refl :args (@t273))
% 0.52/0.78  (step @p349 :rule refl :args (@t274))
% 0.52/0.78  (step @p350 :rule refl :args (@t275))
% 0.52/0.78  (step @p351 :rule refl :args (@t276))
% 0.52/0.78  (step @p352 :rule bool-double-not-elim :args (@t49))
% 0.52/0.78  (step @p353 :rule bool-double-not-elim :args (@t34))
% 0.52/0.78  (step @p354 :rule nary_cong :premises (@p353 @p352 @p351 @p350 @p349 @p348 @p347) :args (@t280))
% 0.52/0.78  (step @p355 :rule aci_norm :args ((= (or @t279 (or @t278 (or @t276 (or @t275 (or @t274 (or @t273 @t272)))))) @t280)))
% 0.52/0.78  (step @p356 :rule trans :premises (@p355 @p354))
% 0.52/0.78  (step @p357 :rule bool-and-de-morgan :args (@t89 @t88 true))
% 0.52/0.78  (step @p358 :rule nary_cong :premises (@p349 @p357) :args ((or @t274 (not (and @t89 @t88)))))
% 0.52/0.78  (step @p359 :rule bool-and-de-morgan :args (@t90 @t89 (and @t88)))
% 0.52/0.78  (step @p360 :rule trans :premises (@p359 @p358))
% 0.52/0.78  (step @p361 :rule nary_cong :premises (@p350 @p360) :args ((or @t275 (not (and @t90 @t89 @t88)))))
% 0.52/0.78  (step @p362 :rule bool-and-de-morgan :args (@t91 @t90 (and @t89 @t88)))
% 0.52/0.78  (step @p363 :rule trans :premises (@p362 @p361))
% 0.52/0.78  (step @p364 :rule nary_cong :premises (@p351 @p363) :args ((or @t276 (not (and @t91 @t90 @t89 @t88)))))
% 0.52/0.78  (step @p365 :rule bool-and-de-morgan :args (@t92 @t91 (and @t90 @t89 @t88)))
% 0.52/0.78  (step @p366 :rule trans :premises (@p365 @p364))
% 0.52/0.78  (step @p367 :rule refl :args (@t278))
% 0.52/0.78  (step @p368 :rule nary_cong :premises (@p367 @p366) :args ((or @t278 (not (and @t92 @t91 @t90 @t89 @t88)))))
% 0.52/0.78  (step @p369 :rule bool-and-de-morgan :args (@t50 @t92 (and @t91 @t90 @t89 @t88)))
% 0.52/0.78  (step @p370 :rule trans :premises (@p369 @p368))
% 0.52/0.78  (step @p371 :rule refl :args (@t279))
% 0.52/0.78  (step @p372 :rule nary_cong :premises (@p371 @p370) :args ((or @t279 (not (and @t50 @t92 @t91 @t90 @t89 @t88)))))
% 0.52/0.78  (step @p373 :rule bool-and-de-morgan :args (@t53 @t50 (and @t92 @t91 @t90 @t89 @t88)))
% 0.52/0.78  (step @p374 :rule trans :premises (@p373 @p372))
% 0.52/0.78  (step @p375 :rule trans :premises (@p374 @p356))
% 0.52/0.78  (step @p376 :rule nary_cong :premises (@p375 @p346) :args ((or (not @t93) @t113)))
% 0.52/0.78  (step @p377 :rule trans :premises (@p376 @p345))
% 0.52/0.78  (step @p378 :rule bool-impl-elim :args (@t93 @t113))
% 0.52/0.78  (step @p379 :rule trans :premises (@p378 @p377))
% 0.52/0.78  (step @p380 :rule cong :premises (@p379) :args (@t114))
% 0.52/0.78  (step @p381 :rule eq_resolve :premises (@p55 @p380))
% 0.52/0.78  (step @p382 :rule eq-symm :args (@t267 @t235))
% 0.52/0.78  (step @p383 :rule refl :args (@t282))
% 0.52/0.78  (step @p384 :rule refl :args (@t284))
% 0.52/0.78  (step @p385 :rule refl :args (@t286))
% 0.52/0.78  (step @p386 :rule refl :args (@t287))
% 0.52/0.78  (step @p387 :rule nary_cong :premises (@p386 @p386 @p182 @p181 @p385 @p384 @p383 @p382) :args (@t288))
% 0.52/0.78  (step @p388 :rule refl :args (@t289))
% 0.52/0.78  (step @p389 :rule cong :premises (@p388 @p387) :args ((=> @t289 @t288)))
% 0.52/0.78  (assume-push @p508 @t289)
% 0.52/0.78  (step @p391 :rule instantiate :premises (@p381) :args ((@list @t184 @t184 @t184 @t183 @t232 @t233)))
% 0.52/0.78  (step-pop @p509 :rule scope :premises (@p391))
% 0.52/0.78  (step @p392 :rule process_scope :premises (@p509) :args (@t288))
% 0.52/0.78  (step @p394 :rule eq_resolve :premises (@p392 @p389))
% 0.52/0.78  (step @p395 :rule implies_elim :premises (@p394))
% 0.52/0.78  (step @p396 :rule chain_m_resolution :premises (@p395 @p381) :args (@t291 @t207 (@list @t289)))
% 0.52/0.78  (step @p397 :rule quant-merge-prenex :args ((= (forall @t40 @t297) (forall (@list @t3 @t1 @t2 @t292) @t295))))
% 0.52/0.78  (step @p398 :rule alpha_equiv :args (@t298 (@list @t292) @t171))
% 0.52/0.78  (step @p399 :rule refl :args (@t294))
% 0.52/0.78  (step @p400 :rule refl :args (@t49))
% 0.52/0.78  (step @p401 :rule nary_cong :premises (@p400 @p399 @p398) :args (@t299))
% 0.52/0.78  (step @p402 :rule quant-miniscope-or :args ((= @t297 @t299)))
% 0.52/0.78  (step @p403 :rule trans :premises (@p402 @p401))
% 0.52/0.78  (step @p404 :rule symm :premises (@p403))
% 0.52/0.78  (step @p405 :rule cong :premises (@p404) :args ((forall @t40 @t300)))
% 0.52/0.78  (step @p406 :rule trans :premises (@p405 @p397))
% 0.52/0.78  (step @p407 :rule aci_norm :args ((= (or (or @t49 @t294) @t115) @t300)))
% 0.52/0.78  (step @p408 :rule refl :args (@t115))
% 0.52/0.78  (step @p409 :rule nary_cong :premises (@p352 @p399) :args ((or @t278 @t294)))
% 0.52/0.78  (step @p410 :rule bool-and-de-morgan :args (@t50 @t104 true))
% 0.52/0.78  (step @p411 :rule trans :premises (@p410 @p409))
% 0.52/0.78  (step @p412 :rule nary_cong :premises (@p411 @p408) :args ((or (not @t107) @t115)))
% 0.52/0.78  (step @p413 :rule trans :premises (@p412 @p407))
% 0.52/0.78  (step @p414 :rule bool-impl-elim :args (@t107 @t115))
% 0.52/0.78  (step @p415 :rule trans :premises (@p414 @p413))
% 0.52/0.78  (step @p416 :rule cong :premises (@p415) :args (@t116))
% 0.52/0.78  (step @p417 :rule trans :premises (@p416 @p406))
% 0.52/0.78  (step @p418 :rule eq_resolve :premises (@p57 @p417))
% 0.52/0.78  (step @p419 :rule instantiate :premises (@p418) :args ((@list @t185 @t185 @t184 @t233)))
% 0.52/0.78  (step @p420 :rule aci_norm :args ((= (or @t160 @t81) (or @t19 @t140 @t139 @t138 @t137 @t81))))
% 0.52/0.78  (step @p421 :rule refl :args (@t81))
% 0.52/0.78  (step @p422 :rule nary_cong :premises (@p120 @p421) :args ((or @t163 @t81)))
% 0.52/0.78  (step @p423 :rule trans :premises (@p422 @p420))
% 0.52/0.78  (step @p424 :rule bool-impl-elim :args (@t21 @t81))
% 0.52/0.78  (step @p425 :rule trans :premises (@p424 @p423))
% 0.52/0.78  (step @p426 :rule cong :premises (@p425) :args (@t82))
% 0.52/0.78  (step @p427 :rule eq_resolve :premises (@p17 @p426))
% 0.52/0.78  (step @p428 :rule instantiate :premises (@p427) :args (@t208))
% 0.52/0.78  (step @p429 :rule cnf_or_pos :args (@t302))
% 0.52/0.78  (step @p430 :rule reordering :premises (@p429) :args ((or @t203 @t202 @t200 @t198 @t196 @t301 (not @t302))))
% 0.52/0.78  (step @p431 :rule chain_m_resolution :premises (@p430 @p279 @p277 @p271 @p265 @p259 @p428) :args (@t301 @t247 (@list @t203 @t201 @t199 @t197 @t195 @t302)))
% 0.52/0.78  (step @p432 :rule aci_norm :args ((= (or (or @t19 @t303) @t110) (or @t19 @t303 @t110))))
% 0.52/0.78  (step @p433 :rule refl :args (@t110))
% 0.52/0.78  (step @p434 :rule refl :args (@t303))
% 0.52/0.78  (step @p435 :rule nary_cong :premises (@p105 @p434) :args ((or @t161 @t303)))
% 0.52/0.78  (step @p436 :rule bool-and-de-morgan :args (@t20 @t101 true))
% 0.52/0.78  (step @p437 :rule trans :premises (@p436 @p435))
% 0.52/0.78  (step @p438 :rule nary_cong :premises (@p437 @p433) :args ((or (not @t111) @t110)))
% 0.52/0.78  (step @p439 :rule trans :premises (@p438 @p432))
% 0.52/0.78  (step @p440 :rule bool-impl-elim :args (@t111 @t110))
% 0.52/0.78  (step @p441 :rule trans :premises (@p440 @p439))
% 0.52/0.78  (step @p442 :rule cong :premises (@p441) :args (@t112))
% 0.52/0.78  (step @p443 :rule eq_resolve :premises (@p38 @p442))
% 0.52/0.78  (step @p444 :rule instantiate :premises (@p443) :args (@t208))
% 0.52/0.78  (step @p445 :rule bool-impl-elim :args (@t15 @t101))
% 0.52/0.78  (step @p446 :rule cong :premises (@p445) :args (@t102))
% 0.52/0.78  (step @p447 :rule eq_resolve :premises (@p24 @p446))
% 0.52/0.78  (step @p448 :rule instantiate :premises (@p447) :args (@t208))
% 0.52/0.78  (step @p449 :rule cnf_or_pos :args (@t305))
% 0.52/0.78  (step @p450 :rule reordering :premises (@p449) :args ((or @t196 @t304 (not @t305))))
% 0.52/0.78  (step @p451 :rule chain_m_resolution :premises (@p450 @p259 @p448) :args (@t304 @t306 (@list @t195 @t305)))
% 0.52/0.78  (step @p452 :rule cnf_or_pos :args (@t310))
% 0.52/0.78  (step @p453 :rule reordering :premises (@p452) :args ((or @t203 @t309 @t308 (not @t310))))
% 0.52/0.78  (step @p454 :rule chain_m_resolution :premises (@p453 @p279 @p451 @p444) :args (@t308 @t311 (@list @t203 @t304 @t310)))
% 0.52/0.78  (step @p455 :rule cnf_or_pos :args (@t314))
% 0.52/0.78  (step @p456 :rule reordering :premises (@p455) :args ((or @t307 @t313 @t312 (not @t314))))
% 0.52/0.78  (step @p457 :rule chain_m_resolution :premises (@p456 @p454 @p431 @p419) :args (@t312 @t311 (@list @t307 @t301 @t314)))
% 0.52/0.78  (step @p458 :rule cnf_equiv_pos1 :args (@t312))
% 0.52/0.78  (step @p459 :rule reordering :premises (@p458) :args ((or @t269 @t281 (not @t312))))
% 0.52/0.78  (step @p460 :rule chain_m_resolution :premises (@p459 @p330 @p457) :args (@t281 @t306 (@list @t262 @t312)))
% 0.52/0.78  (step @p461 :rule instantiate :premises (@p418) :args ((@list @t185 @t185 @t184 @t232)))
% 0.52/0.78  (step @p462 :rule cnf_or_pos :args (@t316))
% 0.52/0.78  (step @p463 :rule reordering :premises (@p462) :args ((or @t307 @t313 @t315 (not @t316))))
% 0.52/0.78  (step @p464 :rule chain_m_resolution :premises (@p463 @p454 @p431 @p461) :args (@t315 @t311 (@list @t307 @t301 @t316)))
% 0.52/0.78  (step @p465 :rule cnf_equiv_pos1 :args (@t315))
% 0.52/0.78  (step @p466 :rule reordering :premises (@p465) :args ((or @t270 @t283 (not @t315))))
% 0.52/0.78  (step @p467 :rule chain_m_resolution :premises (@p466 @p340 @p464) :args (@t283 @t306 (@list @t265 @t315)))
% 0.52/0.78  (step @p468 :rule eq-symm :args (@t108 @t39))
% 0.52/0.78  (step @p469 :rule cong :premises (@p468) :args (@t117))
% 0.52/0.78  (step @p470 :rule eq_resolve :premises (@p58 @p469))
% 0.52/0.78  (step @p471 :rule eq-symm :args (@t285 @t189))
% 0.52/0.78  (step @p472 :rule refl :args (@t317))
% 0.52/0.78  (step @p473 :rule cong :premises (@p472 @p471) :args ((=> @t317 @t318)))
% 0.52/0.78  (assume-push @p510 @t317)
% 0.52/0.78  (step @p475 :rule instantiate :premises (@p470) :args ((@list @t188 @t184 @t183)))
% 0.52/0.78  (step-pop @p511 :rule scope :premises (@p475))
% 0.52/0.78  (step @p476 :rule process_scope :premises (@p511) :args (@t318))
% 0.52/0.78  (step @p478 :rule eq_resolve :premises (@p476 @p473))
% 0.52/0.78  (step @p479 :rule implies_elim :premises (@p478))
% 0.52/0.78  (step @p480 :rule chain_m_resolution :premises (@p479 @p470) :args (@t319 @t207 (@list @t317)))
% 0.52/0.78  (step @p481 :rule cnf_equiv_pos1 :args (@t319))
% 0.52/0.78  (step @p482 :rule reordering :premises (@p481) :args ((or @t190 @t285 (not @t319))))
% 0.52/0.78  (step @p483 :rule chain_m_resolution :premises (@p482 @p285 @p480) :args (@t285 @t306 (@list @t189 @t319)))
% 0.52/0.78  (step @p484 :rule bool-impl-elim :args (@t104 @t103))
% 0.52/0.78  (step @p485 :rule cong :premises (@p484) :args (@t105))
% 0.52/0.78  (step @p486 :rule eq_resolve :premises (@p25 @p485))
% 0.52/0.78  (step @p487 :rule instantiate :premises (@p486) :args ((@list @t185 @t185 @t184)))
% 0.52/0.78  (step @p488 :rule cnf_or_pos :args (@t322))
% 0.52/0.78  (step @p489 :rule reordering :premises (@p488) :args ((or @t313 @t321 (not @t322))))
% 0.52/0.78  (step @p490 :rule chain_m_resolution :premises (@p489 @p431 @p487) :args (@t321 @t306 (@list @t301 @t322)))
% 0.52/0.78  (step @p491 :rule cnf_and_pos :args (@t321 0))
% 0.52/0.78  (step @p492 :rule reordering :premises (@p491) :args ((or @t320 (not @t321))))
% 0.52/0.78  (step @p493 :rule chain_m_resolution :premises (@p492 @p490) :args (@t320 @t207 (@list @t321)))
% 0.52/0.78  (step @p494 :rule cnf_or_pos :args (@t291))
% 0.52/0.78  (step @p495 :rule factoring :premises (@p494))
% 0.52/0.78  (step @p496 :rule reordering :premises (@p495) :args ((or @t194 @t192 @t287 @t286 @t284 @t282 @t290 (not @t291))))
% 0.52/0.78  (step @p497 :rule chain_m_resolution :premises (@p496 @p291 @p288 @p493 @p483 @p467 @p460 @p396) :args (@t290 (@list false false true false false false false) (@list @t193 @t191 @t287 @t285 @t283 @t281 @t291)))
% 0.52/0.78  (step @p498 :rule trans :premises (@p497 @p344))
% 0.52/0.78  (step @p499 :rule true_intro :premises (@p498))
% 0.52/0.78  (step @p500 :rule cnf_or_neg :args (@t242 7))
% 0.52/0.78  (step @p501 :rule chain_m_resolution :premises (@p500 @p252) :args ((not @t236) @t243 @t244))
% 0.52/0.78  (step @p502 :rule false_intro :premises (@p501))
% 0.52/0.78  (step @p503 :rule symm :premises (@p502))
% 0.52/0.78  (step @p504 :rule trans :premises (@p503 @p499))
% 0.52/0.78  (step @p505 false :rule eq_resolve :premises (@p504 @p69))
% 0.52/0.78  )
% 0.52/0.78  % SZS output end Proof
% 0.52/0.78  % cvc5 exiting
%------------------------------------------------------------------------------