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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : GRP640+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n023.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 08:21:07 AM UTC 2026

% Result   : Theorem 0.43s 0.65s
% Output   : Proof 0.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GRP640+1 : TPTP v9.2.1. Released v3.4.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n023.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Jun  2 01:33:43 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.29/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.43/0.65  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15...
% 0.43/0.65  % SZS status Theorem
% 0.43/0.65  % SZS output start Proof
% 0.43/0.65  (
% 0.43/0.65  (declare-sort $$unsorted 0)
% 0.43/0.65  (declare-const tptp.k9_relat_1 (-> $$unsorted $$unsorted $$unsorted))
% 0.43/0.65  (declare-const tptp.r1_group_2 (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.43/0.65  (declare-const tptp.v1_partfun1 (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.43/0.65  (declare-const tptp.u1_group_1 (-> $$unsorted $$unsorted))
% 0.43/0.65  (declare-const tptp.r2_hidden (-> $$unsorted $$unsorted Bool))
% 0.43/0.65  (declare-const tptp.k2_zfmisc_1 (-> $$unsorted $$unsorted $$unsorted))
% 0.43/0.65  (declare-const tptp.v3_struct_0 (-> $$unsorted Bool))
% 0.43/0.65  (declare-const tptp.v3_group_1 (-> $$unsorted Bool))
% 0.43/0.65  (declare-const tptp.g1_group_1 (-> $$unsorted $$unsorted $$unsorted))
% 0.43/0.65  (declare-const tptp.k5_group_4 (-> $$unsorted $$unsorted $$unsorted))
% 0.43/0.65  (declare-const tptp.m1_group_2 (-> $$unsorted $$unsorted Bool))
% 0.43/0.65  (declare-const tptp.r1_tarski (-> $$unsorted $$unsorted Bool))
% 0.43/0.65  (declare-const tptp.u1_struct_0 (-> $$unsorted $$unsorted))
% 0.43/0.65  (declare-const tptp.k2_funct_2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.43/0.65  (declare-const tptp.l1_struct_0 (-> $$unsorted Bool))
% 0.43/0.65  (declare-const tptp.m1_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.43/0.65  (declare-const tptp.k8_group_4 (-> $$unsorted $$unsorted $$unsorted $$unsorted))
% 0.43/0.65  (declare-const tptp.k2_xboole_0 (-> $$unsorted $$unsorted $$unsorted))
% 0.43/0.65  (declare-const tptp.v4_group_1 (-> $$unsorted Bool))
% 0.43/0.65  (declare-const tptp.k1_zfmisc_1 (-> $$unsorted $$unsorted))
% 0.43/0.65  (declare-const tptp.v1_relat_1 (-> $$unsorted Bool))
% 0.43/0.65  (declare-const tptp.v1_group_1 (-> $$unsorted Bool))
% 0.43/0.65  (declare-const tptp.m1_subset_1 (-> $$unsorted $$unsorted Bool))
% 0.43/0.65  (declare-const tptp.v1_xboole_0 (-> $$unsorted Bool))
% 0.43/0.65  (declare-const tptp.m2_relset_1 (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.43/0.65  (declare-const tptp.k1_xboole_0 $$unsorted)
% 0.43/0.65  (declare-const tptp.v1_funct_2 (-> $$unsorted $$unsorted $$unsorted Bool))
% 0.43/0.65  (declare-const tptp.v1_funct_1 (-> $$unsorted Bool))
% 0.43/0.65  (declare-const tptp.l1_group_1 (-> $$unsorted Bool))
% 0.43/0.65  (define @t1 () (@var "F" $$unsorted))
% 0.43/0.65  (define @t2 () (@var "A" $$unsorted))
% 0.43/0.65  (define @t3 () (@var "E" $$unsorted))
% 0.43/0.65  (define @t4 () (@var "B" $$unsorted))
% 0.43/0.65  (define @t5 () (tptp.u1_struct_0 @t4))
% 0.43/0.65  (define @t6 () (tptp.u1_struct_0 @t2))
% 0.43/0.65  (define @t7 () (@var "D" $$unsorted))
% 0.43/0.65  (define @t8 () (@var "C" $$unsorted))
% 0.43/0.65  (define @t9 () (tptp.u1_struct_0 (tptp.k8_group_4 @t2 @t8 @t7)))
% 0.43/0.65  (define @t10 () (tptp.k2_funct_2 @t6 @t5 @t3 @t9))
% 0.43/0.65  (define @t11 () (= @t10 (tptp.k2_funct_2 @t6 @t5 @t3 (tptp.u1_struct_0 (tptp.k5_group_4 @t2 @t1)))))
% 0.43/0.65  (define @t12 () (tptp.u1_struct_0 @t8))
% 0.43/0.65  (define @t13 () (tptp.k2_xboole_0 @t12 (tptp.u1_struct_0 @t7)))
% 0.43/0.65  (define @t14 () (= @t1 @t13))
% 0.43/0.65  (define @t15 () (=> @t14 @t11))
% 0.43/0.65  (define @t16 () (tptp.k1_zfmisc_1 @t6))
% 0.43/0.65  (define @t17 () (tptp.m1_subset_1 @t1 @t16))
% 0.43/0.65  (define @t18 () (@list @t1))
% 0.43/0.65  (define @t19 () (forall @t18 (=> @t17 @t15)))
% 0.43/0.65  (define @t20 () (tptp.m2_relset_1 @t3 @t6 @t5))
% 0.43/0.65  (define @t21 () (tptp.v1_funct_2 @t3 @t6 @t5))
% 0.43/0.65  (define @t22 () (tptp.v1_funct_1 @t3))
% 0.43/0.65  (define @t23 () (and @t22 @t21 @t20))
% 0.43/0.65  (define @t24 () (=> @t23 @t19))
% 0.43/0.65  (define @t25 () (@list @t3))
% 0.43/0.65  (define @t26 () (forall @t25 @t24))
% 0.43/0.65  (define @t27 () (tptp.m1_group_2 @t7 @t2))
% 0.43/0.65  (define @t28 () (=> @t27 @t26))
% 0.43/0.65  (define @t29 () (@list @t7))
% 0.43/0.65  (define @t30 () (forall @t29 @t28))
% 0.43/0.65  (define @t31 () (tptp.m1_group_2 @t8 @t2))
% 0.43/0.65  (define @t32 () (=> @t31 @t30))
% 0.43/0.65  (define @t33 () (@list @t8))
% 0.43/0.65  (define @t34 () (forall @t33 @t32))
% 0.43/0.65  (define @t35 () (tptp.l1_group_1 @t4))
% 0.43/0.65  (define @t36 () (tptp.v4_group_1 @t4))
% 0.43/0.65  (define @t37 () (tptp.v3_group_1 @t4))
% 0.43/0.65  (define @t38 () (tptp.v3_struct_0 @t4))
% 0.43/0.65  (define @t39 () (not @t38))
% 0.43/0.65  (define @t40 () (and @t39 @t37 @t36 @t35))
% 0.43/0.65  (define @t41 () (=> @t40 @t34))
% 0.43/0.65  (define @t42 () (@list @t4))
% 0.43/0.65  (define @t43 () (forall @t42 @t41))
% 0.43/0.65  (define @t44 () (tptp.l1_group_1 @t2))
% 0.43/0.65  (define @t45 () (tptp.v4_group_1 @t2))
% 0.43/0.65  (define @t46 () (tptp.v3_group_1 @t2))
% 0.43/0.65  (define @t47 () (tptp.v3_struct_0 @t2))
% 0.43/0.65  (define @t48 () (not @t47))
% 0.43/0.65  (define @t49 () (and @t48 @t46 @t45 @t44))
% 0.43/0.65  (define @t50 () (=> @t49 @t43))
% 0.43/0.65  (define @t51 () (@list @t2))
% 0.43/0.65  (define @t52 () (forall @t51 @t50))
% 0.43/0.65  (define @t53 () (not @t52))
% 0.43/0.65  (define @t54 () (tptp.g1_group_1 @t2 @t4))
% 0.43/0.65  (define @t55 () (tptp.k2_zfmisc_1 @t2 @t2))
% 0.43/0.65  (define @t56 () (and (tptp.v1_funct_1 @t4) (tptp.v1_funct_2 @t4 @t55 @t2) (tptp.m1_relset_1 @t4 @t55 @t2)))
% 0.43/0.65  (define @t57 () (@list @t2 @t4))
% 0.43/0.65  (define @t58 () (tptp.r2_hidden @t2 @t4))
% 0.43/0.65  (define @t59 () (tptp.k2_zfmisc_1 @t6 @t6))
% 0.43/0.65  (define @t60 () (tptp.u1_group_1 @t2))
% 0.43/0.65  (define @t61 () (tptp.v1_funct_2 @t8 @t2 @t4))
% 0.43/0.65  (define @t62 () (tptp.v1_funct_1 @t8))
% 0.43/0.65  (define @t63 () (and @t62 @t61))
% 0.43/0.65  (define @t64 () (tptp.v1_partfun1 @t8 @t2 @t4))
% 0.43/0.65  (define @t65 () (tptp.m1_relset_1 @t8 @t2 @t4))
% 0.43/0.65  (define @t66 () (@list @t2 @t4 @t8))
% 0.43/0.65  (define @t67 () (tptp.v1_relat_1 @t8))
% 0.43/0.65  (define @t68 () (tptp.m1_subset_1 @t2 @t4))
% 0.43/0.65  (define @t69 () (tptp.m1_subset_1 @t4 (tptp.k1_zfmisc_1 @t8)))
% 0.43/0.65  (define @t70 () (tptp.v1_xboole_0 @t8))
% 0.43/0.65  (define @t71 () (tptp.l1_struct_0 @t2))
% 0.43/0.65  (define @t72 () (tptp.k2_zfmisc_1 @t2 @t4))
% 0.43/0.65  (define @t73 () (tptp.m1_subset_1 @t8 (tptp.k1_zfmisc_1 @t72)))
% 0.43/0.65  (define @t74 () (tptp.v1_xboole_0 @t4))
% 0.43/0.65  (define @t75 () (not @t74))
% 0.43/0.65  (define @t76 () (tptp.v1_xboole_0 @t2))
% 0.43/0.65  (define @t77 () (not @t76))
% 0.43/0.65  (define @t78 () (and @t77 @t75))
% 0.43/0.65  (define @t79 () (and @t48 @t71))
% 0.43/0.65  (define @t80 () (tptp.k2_xboole_0 @t2 @t4))
% 0.43/0.65  (define @t81 () (tptp.k2_xboole_0 @t4 @t2))
% 0.43/0.65  (define @t82 () (tptp.k1_zfmisc_1 @t2))
% 0.43/0.65  (define @t83 () (tptp.m1_subset_1 @t4 @t82))
% 0.43/0.65  (define @t84 () (tptp.m1_subset_1 @t4 @t16))
% 0.43/0.65  (define @t85 () (tptp.r1_group_2 @t2 @t4 @t8))
% 0.43/0.65  (define @t86 () (tptp.v1_group_1 @t8))
% 0.43/0.65  (define @t87 () (tptp.m1_group_2 @t4 @t2))
% 0.43/0.65  (define @t88 () (tptp.v1_group_1 @t4))
% 0.43/0.65  (define @t89 () (and @t48 @t46 @t45 @t44 @t88 @t87 @t86 @t31))
% 0.43/0.65  (define @t90 () (and @t48 @t46 @t44))
% 0.43/0.65  (define @t91 () (tptp.m2_relset_1 @t8 @t2 @t4))
% 0.43/0.65  (define @t92 () (tptp.k2_funct_2 @t2 @t4 @t8 @t7))
% 0.43/0.65  (define @t93 () (= @t92 (tptp.k9_relat_1 @t8 @t7)))
% 0.43/0.65  (define @t94 () (and @t62 @t61 @t65))
% 0.43/0.65  (define @t95 () (@list @t2 @t4 @t8 @t7))
% 0.43/0.65  (define @t96 () (forall @t95 (=> @t94 @t93)))
% 0.43/0.65  (define @t97 () (forall @t66 (= @t91 @t65)))
% 0.43/0.65  (define @t98 () (= @t85 (= @t4 @t8)))
% 0.43/0.65  (define @t99 () (forall @t66 (=> @t89 @t98)))
% 0.43/0.65  (define @t100 () (tptp.k1_zfmisc_1 @t4))
% 0.43/0.65  (define @t101 () (tptp.k5_group_4 @t2 @t4))
% 0.43/0.65  (define @t102 () (and (tptp.v1_group_1 @t101) (tptp.m1_group_2 @t101 @t2)))
% 0.43/0.65  (define @t103 () (and @t48 @t46 @t45 @t44 @t84))
% 0.43/0.65  (define @t104 () (forall @t57 (=> @t103 @t102)))
% 0.43/0.65  (define @t105 () (tptp.k8_group_4 @t2 @t4 @t8))
% 0.43/0.65  (define @t106 () (and (tptp.v1_group_1 @t105) (tptp.m1_group_2 @t105 @t2)))
% 0.43/0.65  (define @t107 () (and @t48 @t46 @t45 @t44 @t87 @t31))
% 0.43/0.65  (define @t108 () (forall @t66 (=> @t107 @t106)))
% 0.43/0.65  (define @t109 () (tptp.r1_group_2 @t2 @t105 (tptp.k5_group_4 @t2 @t7)))
% 0.43/0.65  (define @t110 () (tptp.k2_xboole_0 @t5 @t12))
% 0.43/0.65  (define @t111 () (= @t7 @t110))
% 0.43/0.65  (define @t112 () (=> @t111 @t109))
% 0.43/0.65  (define @t113 () (tptp.m1_subset_1 @t7 @t16))
% 0.43/0.65  (define @t114 () (forall @t29 (=> @t113 @t112)))
% 0.43/0.65  (define @t115 () (=> @t31 @t114))
% 0.43/0.65  (define @t116 () (forall @t33 @t115))
% 0.43/0.65  (define @t117 () (=> @t87 @t116))
% 0.43/0.65  (define @t118 () (forall @t42 @t117))
% 0.43/0.65  (define @t119 () (=> @t49 @t118))
% 0.43/0.65  (define @t120 () (forall @t51 @t119))
% 0.43/0.65  (define @t121 () (@var "BOUND_VARIABLE_7886" $$unsorted))
% 0.43/0.65  (define @t122 () (@var "BOUND_VARIABLE_7884" $$unsorted))
% 0.43/0.65  (define @t123 () (tptp.k2_xboole_0 (tptp.u1_struct_0 @t122) (tptp.u1_struct_0 @t121)))
% 0.43/0.65  (define @t124 () (@var "BOUND_VARIABLE_7888" $$unsorted))
% 0.43/0.65  (define @t125 () (@var "BOUND_VARIABLE_7882" $$unsorted))
% 0.43/0.65  (define @t126 () (tptp.u1_struct_0 @t125))
% 0.43/0.65  (define @t127 () (= (tptp.k2_funct_2 @t6 @t126 @t124 (tptp.u1_struct_0 (tptp.k8_group_4 @t2 @t122 @t121))) (tptp.k2_funct_2 @t6 @t126 @t124 (tptp.u1_struct_0 (tptp.k5_group_4 @t2 @t123)))))
% 0.43/0.65  (define @t128 () (not (tptp.m2_relset_1 @t124 @t6 @t126)))
% 0.43/0.65  (define @t129 () (not (tptp.v1_funct_2 @t124 @t6 @t126)))
% 0.43/0.65  (define @t130 () (not (tptp.v1_funct_1 @t124)))
% 0.43/0.65  (define @t131 () (not (tptp.m1_subset_1 @t123 @t16)))
% 0.43/0.65  (define @t132 () (not (tptp.m1_group_2 @t121 @t2)))
% 0.43/0.65  (define @t133 () (not (tptp.m1_group_2 @t122 @t2)))
% 0.43/0.65  (define @t134 () (not (tptp.l1_group_1 @t125)))
% 0.43/0.65  (define @t135 () (not (tptp.v4_group_1 @t125)))
% 0.43/0.65  (define @t136 () (not (tptp.v3_group_1 @t125)))
% 0.43/0.65  (define @t137 () (tptp.v3_struct_0 @t125))
% 0.43/0.65  (define @t138 () (not @t44))
% 0.43/0.65  (define @t139 () (not @t45))
% 0.43/0.65  (define @t140 () (not @t46))
% 0.43/0.65  (define @t141 () (or @t47 @t140 @t139 @t138 @t137 @t136 @t135 @t134 @t133 @t132 @t131 @t130 @t129 @t128 @t127))
% 0.43/0.65  (define @t142 () (or @t137 @t136 @t135 @t134 @t133 @t132 @t131 @t130 @t129 @t128 @t127))
% 0.43/0.65  (define @t143 () (or @t47 @t140 @t139 @t138 @t142))
% 0.43/0.65  (define @t144 () (@list @t2 @t125 @t122 @t121 @t124))
% 0.43/0.65  (define @t145 () (forall @t144 @t143))
% 0.43/0.65  (define @t146 () (@list @t125 @t122 @t121 @t124))
% 0.43/0.65  (define @t147 () (forall @t146 @t143))
% 0.43/0.65  (define @t148 () (forall @t146 @t142))
% 0.43/0.65  (define @t149 () (@var "BOUND_VARIABLE_7843" $$unsorted))
% 0.43/0.65  (define @t150 () (@var "BOUND_VARIABLE_7841" $$unsorted))
% 0.43/0.65  (define @t151 () (@var "BOUND_VARIABLE_7839" $$unsorted))
% 0.43/0.65  (define @t152 () (or @t47 @t140 @t139 @t138 @t148))
% 0.43/0.65  (define @t153 () (tptp.k2_xboole_0 (tptp.u1_struct_0 @t151) (tptp.u1_struct_0 @t150)))
% 0.43/0.65  (define @t154 () (= (tptp.k2_funct_2 @t6 @t5 @t149 (tptp.u1_struct_0 (tptp.k8_group_4 @t2 @t151 @t150))) (tptp.k2_funct_2 @t6 @t5 @t149 (tptp.u1_struct_0 (tptp.k5_group_4 @t2 @t153)))))
% 0.43/0.65  (define @t155 () (not (tptp.m2_relset_1 @t149 @t6 @t5)))
% 0.43/0.65  (define @t156 () (not (tptp.v1_funct_2 @t149 @t6 @t5)))
% 0.43/0.65  (define @t157 () (not (tptp.v1_funct_1 @t149)))
% 0.43/0.65  (define @t158 () (not (tptp.m1_subset_1 @t153 @t16)))
% 0.43/0.65  (define @t159 () (not (tptp.m1_group_2 @t150 @t2)))
% 0.43/0.65  (define @t160 () (not (tptp.m1_group_2 @t151 @t2)))
% 0.43/0.65  (define @t161 () (not @t35))
% 0.43/0.65  (define @t162 () (not @t36))
% 0.43/0.65  (define @t163 () (not @t37))
% 0.43/0.65  (define @t164 () (or @t38 @t163 @t162 @t161 @t160 @t159 @t158 @t157 @t156 @t155 @t154))
% 0.43/0.65  (define @t165 () (@list @t4 @t151 @t150 @t149))
% 0.43/0.65  (define @t166 () (forall @t165 @t164))
% 0.43/0.65  (define @t167 () (or @t47 @t140 @t139 @t138 @t166))
% 0.43/0.65  (define @t168 () (or @t47 @t140 @t139 @t138))
% 0.43/0.65  (define @t169 () (not @t48))
% 0.43/0.65  (define @t170 () (or @t169 @t140 @t139 @t138))
% 0.43/0.65  (define @t171 () (not @t49))
% 0.43/0.65  (define @t172 () (or @t160 @t159 @t158 @t157 @t156 @t155 @t154))
% 0.43/0.65  (define @t173 () (or @t38 @t163 @t162 @t161 @t172))
% 0.43/0.65  (define @t174 () (forall @t165 @t173))
% 0.43/0.65  (define @t175 () (@list @t151 @t150 @t149))
% 0.43/0.65  (define @t176 () (forall @t175 @t173))
% 0.43/0.65  (define @t177 () (forall @t175 @t172))
% 0.43/0.65  (define @t178 () (@var "BOUND_VARIABLE_7803" $$unsorted))
% 0.43/0.65  (define @t179 () (@var "BOUND_VARIABLE_7801" $$unsorted))
% 0.43/0.65  (define @t180 () (or @t38 @t163 @t162 @t161 @t177))
% 0.43/0.65  (define @t181 () (tptp.k2_xboole_0 @t12 (tptp.u1_struct_0 @t179)))
% 0.43/0.65  (define @t182 () (= (tptp.k2_funct_2 @t6 @t5 @t178 (tptp.u1_struct_0 (tptp.k8_group_4 @t2 @t8 @t179))) (tptp.k2_funct_2 @t6 @t5 @t178 (tptp.u1_struct_0 (tptp.k5_group_4 @t2 @t181)))))
% 0.43/0.65  (define @t183 () (not (tptp.m2_relset_1 @t178 @t6 @t5)))
% 0.43/0.65  (define @t184 () (not (tptp.v1_funct_2 @t178 @t6 @t5)))
% 0.43/0.65  (define @t185 () (not (tptp.v1_funct_1 @t178)))
% 0.43/0.65  (define @t186 () (not (tptp.m1_subset_1 @t181 @t16)))
% 0.43/0.65  (define @t187 () (not (tptp.m1_group_2 @t179 @t2)))
% 0.43/0.65  (define @t188 () (not @t31))
% 0.43/0.65  (define @t189 () (or @t188 @t187 @t186 @t185 @t184 @t183 @t182))
% 0.43/0.65  (define @t190 () (@list @t8 @t179 @t178))
% 0.43/0.65  (define @t191 () (forall @t190 @t189))
% 0.43/0.65  (define @t192 () (or @t38 @t163 @t162 @t161 @t191))
% 0.43/0.65  (define @t193 () (not @t39))
% 0.43/0.65  (define @t194 () (or @t193 @t163 @t162 @t161))
% 0.43/0.65  (define @t195 () (or @t187 @t186 @t185 @t184 @t183 @t182))
% 0.43/0.65  (define @t196 () (or @t188 @t195))
% 0.43/0.65  (define @t197 () (forall @t190 @t196))
% 0.43/0.65  (define @t198 () (@list @t179 @t178))
% 0.43/0.65  (define @t199 () (forall @t198 @t196))
% 0.43/0.65  (define @t200 () (forall @t198 @t195))
% 0.43/0.65  (define @t201 () (@var "BOUND_VARIABLE_7779" $$unsorted))
% 0.43/0.65  (define @t202 () (or @t188 @t200))
% 0.43/0.65  (define @t203 () (tptp.u1_struct_0 (tptp.k5_group_4 @t2 @t13)))
% 0.43/0.65  (define @t204 () (= (tptp.k2_funct_2 @t6 @t5 @t201 @t9) (tptp.k2_funct_2 @t6 @t5 @t201 @t203)))
% 0.43/0.65  (define @t205 () (not (tptp.m2_relset_1 @t201 @t6 @t5)))
% 0.43/0.65  (define @t206 () (not (tptp.v1_funct_2 @t201 @t6 @t5)))
% 0.43/0.65  (define @t207 () (not (tptp.v1_funct_1 @t201)))
% 0.43/0.65  (define @t208 () (not (tptp.m1_subset_1 @t13 @t16)))
% 0.43/0.65  (define @t209 () (not @t27))
% 0.43/0.65  (define @t210 () (or @t209 @t208 @t207 @t206 @t205 @t204))
% 0.43/0.65  (define @t211 () (@list @t7 @t201))
% 0.43/0.65  (define @t212 () (forall @t211 @t210))
% 0.43/0.65  (define @t213 () (or @t207 @t206 @t205 @t204))
% 0.43/0.65  (define @t214 () (or @t209 @t208 @t213))
% 0.43/0.65  (define @t215 () (forall @t211 @t214))
% 0.43/0.65  (define @t216 () (@list @t201))
% 0.43/0.65  (define @t217 () (forall @t216 @t214))
% 0.43/0.65  (define @t218 () (forall @t216 @t213))
% 0.43/0.65  (define @t219 () (or @t209 @t208 @t218))
% 0.43/0.65  (define @t220 () (= @t10 (tptp.k2_funct_2 @t6 @t5 @t3 @t203)))
% 0.43/0.65  (define @t221 () (not @t20))
% 0.43/0.65  (define @t222 () (not @t21))
% 0.43/0.65  (define @t223 () (not @t22))
% 0.43/0.65  (define @t224 () (or @t223 @t222 @t221 @t220))
% 0.43/0.65  (define @t225 () (forall @t25 @t224))
% 0.43/0.65  (define @t226 () (or @t209 @t208 @t225))
% 0.43/0.65  (define @t227 () (or @t208 @t225))
% 0.43/0.65  (define @t228 () (or @t208 @t224))
% 0.43/0.65  (define @t229 () (or @t223 @t222 @t221 @t208 @t220))
% 0.43/0.65  (define @t230 () (or @t208 @t220))
% 0.43/0.65  (define @t231 () (or @t223 @t222 @t221))
% 0.43/0.65  (define @t232 () (not (= @t13 @t13)))
% 0.43/0.65  (define @t233 () (or @t208 @t232 @t220))
% 0.43/0.65  (define @t234 () (not @t14))
% 0.43/0.65  (define @t235 () (not @t17))
% 0.43/0.65  (define @t236 () (or @t234 @t235 @t234 @t11))
% 0.43/0.65  (define @t237 () (or @t235 @t234 @t11))
% 0.43/0.65  (define @t238 () (forall @t144 @t141))
% 0.43/0.65  (define @t239 () (@quantifiers_skolemize @t238 3))
% 0.43/0.65  (define @t240 () (@quantifiers_skolemize @t238 2))
% 0.43/0.65  (define @t241 () (tptp.k2_xboole_0 (tptp.u1_struct_0 @t240) (tptp.u1_struct_0 @t239)))
% 0.43/0.65  (define @t242 () (@quantifiers_skolemize @t238 0))
% 0.43/0.65  (define @t243 () (tptp.k5_group_4 @t242 @t241))
% 0.43/0.65  (define @t244 () (tptp.u1_struct_0 @t243))
% 0.43/0.65  (define @t245 () (@quantifiers_skolemize @t238 4))
% 0.43/0.65  (define @t246 () (@quantifiers_skolemize @t238 1))
% 0.43/0.65  (define @t247 () (tptp.u1_struct_0 @t246))
% 0.43/0.65  (define @t248 () (tptp.u1_struct_0 @t242))
% 0.43/0.65  (define @t249 () (tptp.k2_funct_2 @t248 @t247 @t245 @t244))
% 0.43/0.65  (define @t250 () (tptp.k8_group_4 @t242 @t240 @t239))
% 0.43/0.65  (define @t251 () (tptp.u1_struct_0 @t250))
% 0.43/0.65  (define @t252 () (tptp.k2_funct_2 @t248 @t247 @t245 @t251))
% 0.43/0.65  (define @t253 () (= @t252 @t249))
% 0.43/0.65  (define @t254 () (tptp.m2_relset_1 @t245 @t248 @t247))
% 0.43/0.65  (define @t255 () (not @t254))
% 0.43/0.65  (define @t256 () (tptp.v1_funct_2 @t245 @t248 @t247))
% 0.43/0.65  (define @t257 () (not @t256))
% 0.43/0.65  (define @t258 () (tptp.v1_funct_1 @t245))
% 0.43/0.65  (define @t259 () (not @t258))
% 0.43/0.65  (define @t260 () (tptp.m1_subset_1 @t241 (tptp.k1_zfmisc_1 @t248)))
% 0.43/0.65  (define @t261 () (not @t260))
% 0.43/0.65  (define @t262 () (tptp.m1_group_2 @t239 @t242))
% 0.43/0.65  (define @t263 () (not @t262))
% 0.43/0.65  (define @t264 () (tptp.m1_group_2 @t240 @t242))
% 0.43/0.65  (define @t265 () (not @t264))
% 0.43/0.65  (define @t266 () (tptp.l1_group_1 @t242))
% 0.43/0.65  (define @t267 () (not @t266))
% 0.43/0.65  (define @t268 () (tptp.v4_group_1 @t242))
% 0.43/0.65  (define @t269 () (not @t268))
% 0.43/0.65  (define @t270 () (tptp.v3_group_1 @t242))
% 0.43/0.65  (define @t271 () (not @t270))
% 0.43/0.65  (define @t272 () (tptp.v3_struct_0 @t242))
% 0.43/0.65  (define @t273 () (or @t272 @t271 @t269 @t267 (tptp.v3_struct_0 @t246) (not (tptp.v3_group_1 @t246)) (not (tptp.v4_group_1 @t246)) (not (tptp.l1_group_1 @t246)) @t265 @t263 @t261 @t259 @t257 @t255 @t253))
% 0.43/0.65  (define @t274 () (@list true))
% 0.43/0.65  (define @t275 () (@list @t273))
% 0.43/0.65  (define @t276 () (not @t65))
% 0.43/0.65  (define @t277 () (not @t61))
% 0.43/0.65  (define @t278 () (not @t62))
% 0.43/0.65  (define @t279 () (or @t278 @t277 @t276))
% 0.43/0.65  (define @t280 () (tptp.m1_relset_1 @t245 @t248 @t247))
% 0.43/0.65  (define @t281 () (forall @t66 (= @t65 @t91)))
% 0.43/0.65  (define @t282 () (= @t280 @t254))
% 0.43/0.65  (define @t283 () (= @t254 @t280))
% 0.43/0.65  (define @t284 () (@list false))
% 0.43/0.65  (define @t285 () (@list false false))
% 0.43/0.65  (define @t286 () (tptp.k9_relat_1 @t245 @t251))
% 0.43/0.65  (define @t287 () (= @t252 @t286))
% 0.43/0.65  (define @t288 () (not @t280))
% 0.43/0.65  (define @t289 () (or @t259 @t257 @t288 @t287))
% 0.43/0.65  (define @t290 () (@list false false false false))
% 0.43/0.65  (define @t291 () (= @t249 (tptp.k9_relat_1 @t245 @t244)))
% 0.43/0.65  (define @t292 () (or @t259 @t257 @t288 @t291))
% 0.43/0.65  (define @t293 () (not @t86))
% 0.43/0.65  (define @t294 () (not @t87))
% 0.43/0.65  (define @t295 () (not @t88))
% 0.43/0.65  (define @t296 () (or @t169 @t140 @t139 @t138 @t295 @t294 @t293 @t188))
% 0.43/0.65  (define @t297 () (or @t169 @t140 @t139 @t138 @t294 @t188))
% 0.43/0.65  (define @t298 () (@list @t242 @t240 @t239))
% 0.43/0.65  (define @t299 () (tptp.m1_group_2 @t250 @t242))
% 0.43/0.65  (define @t300 () (tptp.v1_group_1 @t250))
% 0.43/0.65  (define @t301 () (and @t300 @t299))
% 0.43/0.65  (define @t302 () (or @t272 @t271 @t269 @t267 @t265 @t263 @t301))
% 0.43/0.65  (define @t303 () (not @t301))
% 0.43/0.65  (define @t304 () (@list @t301))
% 0.43/0.65  (define @t305 () (not @t84))
% 0.43/0.65  (define @t306 () (or @t169 @t140 @t139 @t138 @t305))
% 0.43/0.65  (define @t307 () (tptp.m1_group_2 @t243 @t242))
% 0.43/0.65  (define @t308 () (tptp.v1_group_1 @t243))
% 0.43/0.65  (define @t309 () (and @t308 @t307))
% 0.43/0.65  (define @t310 () (or @t272 @t271 @t269 @t267 @t261 @t309))
% 0.43/0.65  (define @t311 () (not @t309))
% 0.43/0.65  (define @t312 () (@list @t309))
% 0.43/0.65  (define @t313 () (= @t250 @t243))
% 0.43/0.65  (define @t314 () (tptp.r1_group_2 @t242 @t250 @t243))
% 0.43/0.65  (define @t315 () (= @t314 @t313))
% 0.43/0.65  (define @t316 () (not @t307))
% 0.43/0.65  (define @t317 () (not @t308))
% 0.43/0.65  (define @t318 () (not @t299))
% 0.43/0.65  (define @t319 () (not @t300))
% 0.43/0.65  (define @t320 () (or @t272 @t271 @t269 @t267 @t319 @t318 @t317 @t316 @t315))
% 0.43/0.65  (define @t321 () (@var "BOUND_VARIABLE_8293" $$unsorted))
% 0.43/0.65  (define @t322 () (@var "BOUND_VARIABLE_8291" $$unsorted))
% 0.43/0.65  (define @t323 () (tptp.k2_xboole_0 (tptp.u1_struct_0 @t322) (tptp.u1_struct_0 @t321)))
% 0.43/0.65  (define @t324 () (tptp.r1_group_2 @t2 (tptp.k8_group_4 @t2 @t322 @t321) (tptp.k5_group_4 @t2 @t323)))
% 0.43/0.65  (define @t325 () (not (tptp.m1_subset_1 @t323 @t16)))
% 0.43/0.65  (define @t326 () (not (tptp.m1_group_2 @t321 @t2)))
% 0.43/0.65  (define @t327 () (not (tptp.m1_group_2 @t322 @t2)))
% 0.43/0.65  (define @t328 () (or @t327 @t326 @t325 @t324))
% 0.43/0.65  (define @t329 () (or @t47 @t140 @t139 @t138 @t328))
% 0.43/0.65  (define @t330 () (forall (@list @t2 @t322 @t321) @t329))
% 0.43/0.65  (define @t331 () (@list @t322 @t321))
% 0.43/0.65  (define @t332 () (forall @t331 @t329))
% 0.43/0.65  (define @t333 () (forall @t331 @t328))
% 0.43/0.65  (define @t334 () (@var "BOUND_VARIABLE_8270" $$unsorted))
% 0.43/0.65  (define @t335 () (or @t47 @t140 @t139 @t138 @t333))
% 0.43/0.65  (define @t336 () (tptp.k2_xboole_0 @t5 (tptp.u1_struct_0 @t334)))
% 0.43/0.65  (define @t337 () (tptp.r1_group_2 @t2 (tptp.k8_group_4 @t2 @t4 @t334) (tptp.k5_group_4 @t2 @t336)))
% 0.43/0.65  (define @t338 () (not (tptp.m1_subset_1 @t336 @t16)))
% 0.43/0.65  (define @t339 () (not (tptp.m1_group_2 @t334 @t2)))
% 0.43/0.65  (define @t340 () (or @t294 @t339 @t338 @t337))
% 0.43/0.65  (define @t341 () (@list @t4 @t334))
% 0.43/0.65  (define @t342 () (forall @t341 @t340))
% 0.43/0.65  (define @t343 () (or @t47 @t140 @t139 @t138 @t342))
% 0.43/0.65  (define @t344 () (or @t339 @t338 @t337))
% 0.43/0.65  (define @t345 () (or @t294 @t344))
% 0.43/0.65  (define @t346 () (forall @t341 @t345))
% 0.43/0.65  (define @t347 () (@list @t334))
% 0.43/0.65  (define @t348 () (forall @t347 @t345))
% 0.43/0.65  (define @t349 () (forall @t347 @t344))
% 0.43/0.65  (define @t350 () (or @t294 @t349))
% 0.43/0.65  (define @t351 () (tptp.r1_group_2 @t2 @t105 (tptp.k5_group_4 @t2 @t110)))
% 0.43/0.65  (define @t352 () (not (tptp.m1_subset_1 @t110 @t16)))
% 0.43/0.65  (define @t353 () (or @t188 @t352 @t351))
% 0.43/0.65  (define @t354 () (forall @t33 @t353))
% 0.43/0.65  (define @t355 () (or @t352 @t351))
% 0.43/0.65  (define @t356 () (not (= @t110 @t110)))
% 0.43/0.65  (define @t357 () (or @t352 @t356 @t351))
% 0.43/0.65  (define @t358 () (not @t111))
% 0.43/0.65  (define @t359 () (not @t113))
% 0.43/0.65  (define @t360 () (or @t358 @t359 @t358 @t109))
% 0.43/0.65  (define @t361 () (or @t359 @t358 @t109))
% 0.43/0.65  (define @t362 () (or @t272 @t271 @t269 @t267 @t265 @t263 @t261 @t314))
% 0.43/0.65  (define @t363 () (and @t287 @t291 @t313))
% 0.43/0.65  (assume @p1 @t53)
% 0.43/0.65  (assume @p2 (forall @t57 (=> @t56 (forall (@list @t8 @t7) (=> (= @t54 (tptp.g1_group_1 @t8 @t7)) (and (= @t2 @t8) (= @t4 @t7)))))))
% 0.43/0.65  (assume @p3 (forall @t57 (=> @t58 (not (tptp.r2_hidden @t4 @t2)))))
% 0.43/0.65  (assume @p4 (forall @t57 (=> @t56 (and (tptp.v1_group_1 @t54) (tptp.l1_group_1 @t54)))))
% 0.43/0.65  (assume @p5 true)
% 0.43/0.65  (assume @p6 (forall @t51 (=> @t44 (and (tptp.v1_funct_1 @t60) (tptp.v1_funct_2 @t60 @t59 @t6) (tptp.m2_relset_1 @t60 @t59 @t6)))))
% 0.43/0.65  (assume @p7 (forall @t66 (=> @t65 (=> (and @t62 @t64) @t63))))
% 0.43/0.65  (assume @p8 (tptp.v1_xboole_0 tptp.k1_xboole_0))
% 0.43/0.65  (assume @p9 (forall @t57 (exists @t33 (and @t65 @t67 @t62 @t61))))
% 0.43/0.65  (assume @p10 (forall @t57 (exists @t33 (and @t65 @t67 @t62))))
% 0.43/0.65  (assume @p11 (forall @t51 (= (tptp.k2_xboole_0 @t2 tptp.k1_xboole_0) @t2)))
% 0.43/0.65  (assume @p12 (forall @t57 (=> @t58 @t68)))
% 0.43/0.65  (assume @p13 (forall @t66 (=> (and @t58 @t69) (tptp.m1_subset_1 @t2 @t8))))
% 0.43/0.65  (assume @p14 (forall @t66 (not (and @t58 @t69 @t70))))
% 0.43/0.65  (assume @p15 (forall @t57 (tptp.r1_tarski @t2 @t2)))
% 0.43/0.65  (assume @p16 (forall @t51 (=> @t44 (=> (tptp.v1_group_1 @t2) (= @t2 (tptp.g1_group_1 @t6 @t60))))))
% 0.43/0.65  (assume @p17 (exists @t51 @t71))
% 0.43/0.65  (assume @p18 (forall @t57 (exists @t33 @t65)))
% 0.43/0.65  (assume @p19 (forall @t66 (=> @t73 @t67)))
% 0.43/0.65  (assume @p20 (forall @t57 (=> @t75 (forall @t33 (=> @t65 (=> @t63 (and @t62 @t64 @t61)))))))
% 0.43/0.65  (assume @p21 (forall @t57 (=> @t78 (forall @t33 (=> @t65 (=> @t63 (and @t62 (not @t70) @t64 @t61)))))))
% 0.43/0.65  (assume @p22 (forall @t51 (=> @t79 (not (tptp.v1_xboole_0 @t6)))))
% 0.43/0.65  (assume @p23 (forall @t57 (=> @t77 (not (tptp.v1_xboole_0 @t80)))))
% 0.43/0.65  (assume @p24 (forall @t57 (=> @t77 (not (tptp.v1_xboole_0 @t81)))))
% 0.43/0.65  (assume @p25 (forall @t57 (=> @t78 (not (tptp.v1_xboole_0 @t72)))))
% 0.43/0.65  (assume @p26 (forall @t51 (=> @t77 (exists @t42 (and @t83 @t75)))))
% 0.43/0.65  (assume @p27 (exists @t51 @t76))
% 0.43/0.65  (assume @p28 (forall @t51 (exists @t42 (and @t83 @t74))))
% 0.43/0.65  (assume @p29 (exists @t51 @t77))
% 0.43/0.65  (assume @p30 (exists @t51 (and @t71 @t48)))
% 0.43/0.65  (assume @p31 (forall @t51 (=> @t79 (exists @t42 (and @t84 @t75)))))
% 0.43/0.65  (assume @p32 (forall @t57 (=> @t68 (or @t74 @t58))))
% 0.43/0.65  (assume @p33 (forall @t51 (=> @t76 (= @t2 tptp.k1_xboole_0))))
% 0.43/0.65  (assume @p34 (forall @t57 (not (and @t58 @t74))))
% 0.43/0.65  (assume @p35 (forall @t57 (not (and @t76 (not (= @t2 @t4)) @t74))))
% 0.43/0.65  (assume @p36 (forall @t57 (= @t80 @t81)))
% 0.43/0.65  (assume @p37 (forall @t57 (= (tptp.k2_xboole_0 @t2 @t2) @t2)))
% 0.43/0.65  (assume @p38 (forall @t66 (=> @t89 (=> @t85 (tptp.r1_group_2 @t2 @t8 @t4)))))
% 0.43/0.65  (assume @p39 (forall @t66 (=> @t89 (tptp.r1_group_2 @t2 @t4 @t4))))
% 0.43/0.65  (assume @p40 (exists @t51 @t44))
% 0.43/0.65  (assume @p41 (forall @t51 (=> @t90 (exists @t42 @t87))))
% 0.43/0.65  (assume @p42 (forall @t51 (exists @t42 (tptp.m1_subset_1 @t4 @t2))))
% 0.43/0.65  (assume @p43 (forall @t57 (exists @t33 @t91)))
% 0.43/0.65  (assume @p44 @t96)
% 0.43/0.65  (assume @p45 @t97)
% 0.43/0.65  (assume @p46 @t99)
% 0.43/0.65  (assume @p47 (forall @t95 (=> @t94 (tptp.m1_subset_1 @t92 @t100))))
% 0.43/0.65  (assume @p48 @t104)
% 0.43/0.65  (assume @p49 @t108)
% 0.43/0.65  (assume @p50 (forall @t51 (=> @t44 @t71)))
% 0.43/0.65  (assume @p51 (forall @t51 (=> @t90 (forall @t42 (=> @t87 (and @t39 @t37 @t35))))))
% 0.43/0.65  (assume @p52 (forall @t66 (=> @t91 @t73)))
% 0.43/0.65  (assume @p53 (forall @t51 (not (tptp.v1_xboole_0 @t82))))
% 0.43/0.65  (assume @p54 (forall @t57 (= (tptp.m1_subset_1 @t2 @t100) (tptp.r1_tarski @t2 @t4))))
% 0.43/0.65  (assume @p55 @t120)
% 0.43/0.65  (step @p56 :rule aci_norm :args ((= @t143 @t141)))
% 0.43/0.65  (step @p57 :rule cong :premises (@p56) :args (@t145))
% 0.43/0.65  (step @p58 :rule quant-merge-prenex :args ((= (forall @t51 @t147) @t145)))
% 0.43/0.65  (step @p59 :rule alpha_equiv :args (@t148 (@list @t125 @t122 @t121 @t124) (@list @t4 @t151 @t150 @t149)))
% 0.43/0.65  (step @p60 :rule refl :args (@t138))
% 0.43/0.65  (step @p61 :rule refl :args (@t139))
% 0.43/0.65  (step @p62 :rule refl :args (@t140))
% 0.43/0.65  (step @p63 :rule refl :args (@t47))
% 0.43/0.65  (step @p64 :rule nary_cong :premises (@p63 @p62 @p61 @p60 @p59) :args (@t152))
% 0.43/0.65  (step @p65 :rule quant-miniscope-or :args ((= @t147 @t152)))
% 0.43/0.65  (step @p66 :rule trans :premises (@p65 @p64))
% 0.43/0.65  (step @p67 :rule symm :premises (@p66))
% 0.43/0.65  (step @p68 :rule cong :premises (@p67) :args ((forall @t51 @t167)))
% 0.43/0.65  (step @p69 :rule trans :premises (@p68 @p58))
% 0.43/0.65  (step @p70 :rule trans :premises (@p69 @p57))
% 0.43/0.65  (step @p71 :rule aci_norm :args ((= (or @t168 @t166) @t167)))
% 0.43/0.65  (step @p72 :rule refl :args (@t166))
% 0.43/0.65  (step @p73 :rule bool-double-not-elim :args (@t47))
% 0.43/0.65  (step @p74 :rule nary_cong :premises (@p73 @p62 @p61 @p60) :args (@t170))
% 0.43/0.65  (step @p75 :rule aci_norm :args ((= (or @t169 (or @t140 (or @t139 @t138))) @t170)))
% 0.43/0.65  (step @p76 :rule trans :premises (@p75 @p74))
% 0.43/0.65  (step @p77 :rule bool-and-de-morgan :args (@t45 @t44 true))
% 0.43/0.65  (step @p78 :rule nary_cong :premises (@p62 @p77) :args ((or @t140 (not (and @t45 @t44)))))
% 0.43/0.65  (step @p79 :rule bool-and-de-morgan :args (@t46 @t45 (and @t44)))
% 0.43/0.65  (step @p80 :rule trans :premises (@p79 @p78))
% 0.43/0.65  (step @p81 :rule refl :args (@t169))
% 0.43/0.65  (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t169 (not (and @t46 @t45 @t44)))))
% 0.43/0.65  (step @p83 :rule bool-and-de-morgan :args (@t48 @t46 (and @t45 @t44)))
% 0.43/0.65  (step @p84 :rule trans :premises (@p83 @p82))
% 0.43/0.65  (step @p85 :rule trans :premises (@p84 @p76))
% 0.43/0.65  (step @p86 :rule nary_cong :premises (@p85 @p72) :args ((or @t171 @t166)))
% 0.43/0.65  (step @p87 :rule trans :premises (@p86 @p71))
% 0.43/0.65  (step @p88 :rule bool-impl-elim :args (@t49 @t166))
% 0.43/0.65  (step @p89 :rule trans :premises (@p88 @p87))
% 0.43/0.65  (step @p90 :rule cong :premises (@p89) :args ((forall @t51 (=> @t49 @t166))))
% 0.43/0.65  (step @p91 :rule trans :premises (@p90 @p70))
% 0.43/0.65  (step @p92 :rule aci_norm :args ((= @t173 @t164)))
% 0.43/0.65  (step @p93 :rule cong :premises (@p92) :args (@t174))
% 0.43/0.65  (step @p94 :rule quant-merge-prenex :args ((= (forall @t42 @t176) @t174)))
% 0.43/0.65  (step @p95 :rule alpha_equiv :args (@t177 (@list @t151 @t150 @t149) (@list @t8 @t179 @t178)))
% 0.43/0.65  (step @p96 :rule refl :args (@t161))
% 0.43/0.65  (step @p97 :rule refl :args (@t162))
% 0.43/0.65  (step @p98 :rule refl :args (@t163))
% 0.43/0.65  (step @p99 :rule refl :args (@t38))
% 0.43/0.65  (step @p100 :rule nary_cong :premises (@p99 @p98 @p97 @p96 @p95) :args (@t180))
% 0.43/0.65  (step @p101 :rule quant-miniscope-or :args ((= @t176 @t180)))
% 0.43/0.65  (step @p102 :rule trans :premises (@p101 @p100))
% 0.43/0.65  (step @p103 :rule symm :premises (@p102))
% 0.43/0.65  (step @p104 :rule cong :premises (@p103) :args ((forall @t42 @t192)))
% 0.43/0.65  (step @p105 :rule trans :premises (@p104 @p94))
% 0.43/0.65  (step @p106 :rule trans :premises (@p105 @p93))
% 0.43/0.65  (step @p107 :rule aci_norm :args ((= (or (or @t38 @t163 @t162 @t161) @t191) @t192)))
% 0.43/0.65  (step @p108 :rule refl :args (@t191))
% 0.43/0.65  (step @p109 :rule bool-double-not-elim :args (@t38))
% 0.43/0.65  (step @p110 :rule nary_cong :premises (@p109 @p98 @p97 @p96) :args (@t194))
% 0.43/0.65  (step @p111 :rule aci_norm :args ((= (or @t193 (or @t163 (or @t162 @t161))) @t194)))
% 0.43/0.65  (step @p112 :rule trans :premises (@p111 @p110))
% 0.43/0.65  (step @p113 :rule bool-and-de-morgan :args (@t36 @t35 true))
% 0.43/0.65  (step @p114 :rule nary_cong :premises (@p98 @p113) :args ((or @t163 (not (and @t36 @t35)))))
% 0.43/0.65  (step @p115 :rule bool-and-de-morgan :args (@t37 @t36 (and @t35)))
% 0.43/0.65  (step @p116 :rule trans :premises (@p115 @p114))
% 0.43/0.65  (step @p117 :rule refl :args (@t193))
% 0.43/0.65  (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or @t193 (not (and @t37 @t36 @t35)))))
% 0.43/0.65  (step @p119 :rule bool-and-de-morgan :args (@t39 @t37 (and @t36 @t35)))
% 0.43/0.65  (step @p120 :rule trans :premises (@p119 @p118))
% 0.43/0.65  (step @p121 :rule trans :premises (@p120 @p112))
% 0.43/0.65  (step @p122 :rule nary_cong :premises (@p121 @p108) :args ((or (not @t40) @t191)))
% 0.43/0.65  (step @p123 :rule trans :premises (@p122 @p107))
% 0.43/0.65  (step @p124 :rule bool-impl-elim :args (@t40 @t191))
% 0.43/0.65  (step @p125 :rule trans :premises (@p124 @p123))
% 0.43/0.65  (step @p126 :rule cong :premises (@p125) :args ((forall @t42 (=> @t40 @t191))))
% 0.43/0.65  (step @p127 :rule trans :premises (@p126 @p106))
% 0.43/0.65  (step @p128 :rule aci_norm :args ((= @t196 @t189)))
% 0.43/0.65  (step @p129 :rule cong :premises (@p128) :args (@t197))
% 0.43/0.65  (step @p130 :rule quant-merge-prenex :args ((= (forall @t33 @t199) @t197)))
% 0.43/0.65  (step @p131 :rule alpha_equiv :args (@t200 (@list @t179 @t178) (@list @t7 @t201)))
% 0.43/0.65  (step @p132 :rule refl :args (@t188))
% 0.43/0.65  (step @p133 :rule nary_cong :premises (@p132 @p131) :args (@t202))
% 0.43/0.65  (step @p134 :rule quant-miniscope-or :args ((= @t199 @t202)))
% 0.43/0.65  (step @p135 :rule trans :premises (@p134 @p133))
% 0.43/0.65  (step @p136 :rule symm :premises (@p135))
% 0.43/0.65  (step @p137 :rule cong :premises (@p136) :args ((forall @t33 (or @t188 @t212))))
% 0.43/0.65  (step @p138 :rule trans :premises (@p137 @p130))
% 0.43/0.65  (step @p139 :rule trans :premises (@p138 @p129))
% 0.43/0.65  (step @p140 :rule bool-impl-elim :args (@t31 @t212))
% 0.43/0.65  (step @p141 :rule cong :premises (@p140) :args ((forall @t33 (=> @t31 @t212))))
% 0.43/0.65  (step @p142 :rule trans :premises (@p141 @p139))
% 0.43/0.65  (step @p143 :rule aci_norm :args ((= @t214 @t210)))
% 0.43/0.65  (step @p144 :rule cong :premises (@p143) :args (@t215))
% 0.43/0.65  (step @p145 :rule quant-merge-prenex :args ((= (forall @t29 @t217) @t215)))
% 0.43/0.65  (step @p146 :rule alpha_equiv :args (@t218 (@list @t201) (@list @t3)))
% 0.43/0.65  (step @p147 :rule refl :args (@t208))
% 0.43/0.65  (step @p148 :rule refl :args (@t209))
% 0.43/0.65  (step @p149 :rule nary_cong :premises (@p148 @p147 @p146) :args (@t219))
% 0.43/0.65  (step @p150 :rule quant-miniscope-or :args ((= @t217 @t219)))
% 0.43/0.65  (step @p151 :rule trans :premises (@p150 @p149))
% 0.43/0.65  (step @p152 :rule symm :premises (@p151))
% 0.43/0.65  (step @p153 :rule cong :premises (@p152) :args ((forall @t29 @t226)))
% 0.43/0.65  (step @p154 :rule trans :premises (@p153 @p145))
% 0.43/0.65  (step @p155 :rule trans :premises (@p154 @p144))
% 0.43/0.65  (step @p156 :rule aci_norm :args ((= (or @t209 @t227) @t226)))
% 0.43/0.65  (step @p157 :rule bool-impl-elim :args (@t27 @t227))
% 0.43/0.65  (step @p158 :rule trans :premises (@p157 @p156))
% 0.43/0.65  (step @p159 :rule cong :premises (@p158) :args ((forall @t29 (=> @t27 @t227))))
% 0.43/0.65  (step @p160 :rule trans :premises (@p159 @p155))
% 0.43/0.65  (step @p161 :rule quant-miniscope-or :args ((= (forall @t25 @t228) @t227)))
% 0.43/0.65  (step @p162 :rule aci_norm :args ((= @t229 @t228)))
% 0.43/0.65  (step @p163 :rule cong :premises (@p162) :args ((forall @t25 @t229)))
% 0.43/0.65  (step @p164 :rule trans :premises (@p163 @p161))
% 0.43/0.65  (step @p165 :rule aci_norm :args ((= (or @t231 @t230) @t229)))
% 0.43/0.65  (step @p166 :rule refl :args (@t230))
% 0.43/0.65  (step @p167 :rule aci_norm :args ((= (or @t223 (or @t222 @t221)) @t231)))
% 0.43/0.65  (step @p168 :rule bool-and-de-morgan :args (@t21 @t20 true))
% 0.43/0.65  (step @p169 :rule refl :args (@t223))
% 0.43/0.65  (step @p170 :rule nary_cong :premises (@p169 @p168) :args ((or @t223 (not (and @t21 @t20)))))
% 0.43/0.65  (step @p171 :rule bool-and-de-morgan :args (@t22 @t21 (and @t20)))
% 0.43/0.65  (step @p172 :rule trans :premises (@p171 @p170))
% 0.43/0.65  (step @p173 :rule trans :premises (@p172 @p167))
% 0.43/0.65  (step @p174 :rule nary_cong :premises (@p173 @p166) :args ((or (not @t23) @t230)))
% 0.43/0.65  (step @p175 :rule trans :premises (@p174 @p165))
% 0.43/0.65  (step @p176 :rule bool-impl-elim :args (@t23 @t230))
% 0.43/0.65  (step @p177 :rule trans :premises (@p176 @p175))
% 0.43/0.65  (step @p178 :rule cong :premises (@p177) :args ((forall @t25 (=> @t23 @t230))))
% 0.43/0.65  (step @p179 :rule trans :premises (@p178 @p164))
% 0.43/0.65  (step @p180 :rule aci_norm :args ((= (or @t208 false @t220) @t230)))
% 0.43/0.65  (step @p181 :rule refl :args (@t220))
% 0.43/0.65  (step @p182 :rule evaluate :args ((not true)))
% 0.43/0.65  (step @p183 :rule eq-refl :args (@t13))
% 0.43/0.65  (step @p184 :rule cong :premises (@p183) :args (@t232))
% 0.43/0.65  (step @p185 :rule trans :premises (@p184 @p182))
% 0.43/0.65  (step @p186 :rule refl :args (@t208))
% 0.43/0.65  (step @p187 :rule nary_cong :premises (@p186 @p185 @p181) :args (@t233))
% 0.43/0.65  (step @p188 :rule trans :premises (@p187 @p180))
% 0.43/0.65  (step @p189 :rule quant-var-elim-eq :args ((= (forall @t18 @t236) @t233)))
% 0.43/0.65  (step @p190 :rule aci_norm :args ((= @t237 @t236)))
% 0.43/0.65  (step @p191 :rule cong :premises (@p190) :args ((forall @t18 @t237)))
% 0.43/0.65  (step @p192 :rule trans :premises (@p191 @p189))
% 0.43/0.65  (step @p193 :rule trans :premises (@p192 @p188))
% 0.43/0.65  (step @p194 :rule aci_norm :args ((= (or @t235 (or @t234 @t11)) @t237)))
% 0.43/0.65  (step @p195 :rule bool-impl-elim :args (@t14 @t11))
% 0.43/0.65  (step @p196 :rule refl :args (@t235))
% 0.43/0.65  (step @p197 :rule nary_cong :premises (@p196 @p195) :args ((or @t235 @t15)))
% 0.43/0.65  (step @p198 :rule trans :premises (@p197 @p194))
% 0.43/0.65  (step @p199 :rule bool-impl-elim :args (@t17 @t15))
% 0.43/0.65  (step @p200 :rule trans :premises (@p199 @p198))
% 0.43/0.65  (step @p201 :rule cong :premises (@p200) :args (@t19))
% 0.43/0.65  (step @p202 :rule trans :premises (@p201 @p193))
% 0.43/0.65  (step @p203 :rule refl :args (@t23))
% 0.43/0.65  (step @p204 :rule cong :premises (@p203 @p202) :args (@t24))
% 0.43/0.65  (step @p205 :rule cong :premises (@p204) :args (@t26))
% 0.43/0.65  (step @p206 :rule trans :premises (@p205 @p179))
% 0.43/0.65  (step @p207 :rule refl :args (@t27))
% 0.43/0.65  (step @p208 :rule cong :premises (@p207 @p206) :args (@t28))
% 0.43/0.65  (step @p209 :rule cong :premises (@p208) :args (@t30))
% 0.43/0.65  (step @p210 :rule trans :premises (@p209 @p160))
% 0.43/0.65  (step @p211 :rule refl :args (@t31))
% 0.43/0.65  (step @p212 :rule cong :premises (@p211 @p210) :args (@t32))
% 0.43/0.65  (step @p213 :rule cong :premises (@p212) :args (@t34))
% 0.43/0.65  (step @p214 :rule trans :premises (@p213 @p142))
% 0.43/0.65  (step @p215 :rule refl :args (@t40))
% 0.43/0.65  (step @p216 :rule cong :premises (@p215 @p214) :args (@t41))
% 0.43/0.65  (step @p217 :rule cong :premises (@p216) :args (@t43))
% 0.43/0.65  (step @p218 :rule trans :premises (@p217 @p127))
% 0.43/0.65  (step @p219 :rule refl :args (@t49))
% 0.43/0.65  (step @p220 :rule cong :premises (@p219 @p218) :args (@t50))
% 0.43/0.65  (step @p221 :rule cong :premises (@p220) :args (@t52))
% 0.43/0.65  (step @p222 :rule trans :premises (@p221 @p91))
% 0.43/0.65  (step @p223 :rule cong :premises (@p222) :args (@t53))
% 0.43/0.65  (step @p224 :rule eq_resolve :premises (@p1 @p223))
% 0.43/0.65  (step @p225 :rule skolemize :premises (@p224))
% 0.43/0.65  (step @p226 :rule cnf_or_neg :args (@t273 14))
% 0.43/0.65  (step @p227 :rule chain_m_resolution :premises (@p226 @p225) :args ((not @t253) @t274 @t275))
% 0.43/0.65  (step @p228 :rule aci_norm :args ((= (or @t279 @t93) (or @t278 @t277 @t276 @t93))))
% 0.43/0.65  (step @p229 :rule refl :args (@t93))
% 0.43/0.65  (step @p230 :rule aci_norm :args ((= (or @t278 (or @t277 @t276)) @t279)))
% 0.43/0.65  (step @p231 :rule bool-and-de-morgan :args (@t61 @t65 true))
% 0.43/0.65  (step @p232 :rule refl :args (@t278))
% 0.43/0.65  (step @p233 :rule nary_cong :premises (@p232 @p231) :args ((or @t278 (not (and @t61 @t65)))))
% 0.43/0.65  (step @p234 :rule bool-and-de-morgan :args (@t62 @t61 (and @t65)))
% 0.43/0.65  (step @p235 :rule trans :premises (@p234 @p233))
% 0.43/0.65  (step @p236 :rule trans :premises (@p235 @p230))
% 0.43/0.65  (step @p237 :rule nary_cong :premises (@p236 @p229) :args ((or (not @t94) @t93)))
% 0.43/0.65  (step @p238 :rule trans :premises (@p237 @p228))
% 0.43/0.65  (step @p239 :rule bool-impl-elim :args (@t94 @t93))
% 0.43/0.65  (step @p240 :rule trans :premises (@p239 @p238))
% 0.43/0.65  (step @p241 :rule cong :premises (@p240) :args (@t96))
% 0.43/0.65  (step @p242 :rule eq_resolve :premises (@p44 @p241))
% 0.43/0.65  (step @p243 :rule instantiate :premises (@p242) :args ((@list @t248 @t247 @t245 @t251)))
% 0.43/0.65  (step @p244 :rule eq-symm :args (@t91 @t65))
% 0.43/0.65  (step @p245 :rule cong :premises (@p244) :args (@t97))
% 0.43/0.65  (step @p246 :rule eq_resolve :premises (@p45 @p245))
% 0.43/0.65  (step @p247 :rule eq-symm :args (@t280 @t254))
% 0.43/0.65  (step @p248 :rule refl :args (@t281))
% 0.43/0.65  (step @p249 :rule cong :premises (@p248 @p247) :args ((=> @t281 @t282)))
% 0.43/0.65  (assume-push @p524 @t281)
% 0.43/0.65  (step @p251 :rule instantiate :premises (@p246) :args ((@list @t248 @t247 @t245)))
% 0.43/0.65  (step-pop @p525 :rule scope :premises (@p251))
% 0.43/0.65  (step @p252 :rule process_scope :premises (@p525) :args (@t282))
% 0.43/0.65  (step @p254 :rule eq_resolve :premises (@p252 @p249))
% 0.43/0.65  (step @p255 :rule implies_elim :premises (@p254))
% 0.43/0.65  (step @p256 :rule chain_m_resolution :premises (@p255 @p246) :args (@t283 @t284 (@list @t281)))
% 0.43/0.65  (step @p257 :rule bool-double-not-elim :args (@t254))
% 0.43/0.65  (step @p258 :rule refl :args (@t273))
% 0.43/0.65  (step @p259 :rule nary_cong :premises (@p258 @p257) :args ((or @t273 (not @t255))))
% 0.43/0.65  (step @p260 :rule cnf_or_neg :args (@t273 13))
% 0.43/0.65  (step @p261 :rule eq_resolve :premises (@p260 @p259))
% 0.43/0.65  (step @p262 :rule reordering :premises (@p261) :args ((or @t254 @t273)))
% 0.43/0.65  (step @p263 :rule chain_m_resolution :premises (@p262 @p225) :args (@t254 @t274 @t275))
% 0.43/0.65  (step @p264 :rule cnf_equiv_pos1 :args (@t283))
% 0.43/0.65  (step @p265 :rule reordering :premises (@p264) :args ((or @t255 @t280 (not @t283))))
% 0.43/0.65  (step @p266 :rule chain_m_resolution :premises (@p265 @p263 @p256) :args (@t280 @t285 (@list @t254 @t283)))
% 0.43/0.65  (step @p267 :rule bool-double-not-elim :args (@t256))
% 0.43/0.65  (step @p268 :rule nary_cong :premises (@p258 @p267) :args ((or @t273 (not @t257))))
% 0.43/0.65  (step @p269 :rule cnf_or_neg :args (@t273 12))
% 0.43/0.65  (step @p270 :rule eq_resolve :premises (@p269 @p268))
% 0.43/0.65  (step @p271 :rule reordering :premises (@p270) :args ((or @t256 @t273)))
% 0.43/0.65  (step @p272 :rule chain_m_resolution :premises (@p271 @p225) :args (@t256 @t274 @t275))
% 0.43/0.65  (step @p273 :rule bool-double-not-elim :args (@t258))
% 0.43/0.65  (step @p274 :rule nary_cong :premises (@p258 @p273) :args ((or @t273 (not @t259))))
% 0.43/0.65  (step @p275 :rule cnf_or_neg :args (@t273 11))
% 0.43/0.65  (step @p276 :rule eq_resolve :premises (@p275 @p274))
% 0.43/0.65  (step @p277 :rule reordering :premises (@p276) :args ((or @t258 @t273)))
% 0.43/0.65  (step @p278 :rule chain_m_resolution :premises (@p277 @p225) :args (@t258 @t274 @t275))
% 0.43/0.65  (step @p279 :rule cnf_or_pos :args (@t289))
% 0.43/0.65  (step @p280 :rule reordering :premises (@p279) :args ((or @t259 @t257 @t288 @t287 (not @t289))))
% 0.43/0.65  (step @p281 :rule chain_m_resolution :premises (@p280 @p278 @p272 @p266 @p243) :args (@t287 @t290 (@list @t258 @t256 @t280 @t289)))
% 0.43/0.65  (step @p282 :rule instantiate :premises (@p242) :args ((@list @t248 @t247 @t245 @t244)))
% 0.43/0.65  (step @p283 :rule cnf_or_pos :args (@t292))
% 0.43/0.65  (step @p284 :rule reordering :premises (@p283) :args ((or @t259 @t257 @t288 @t291 (not @t292))))
% 0.43/0.65  (step @p285 :rule chain_m_resolution :premises (@p284 @p278 @p272 @p266 @p282) :args (@t291 @t290 (@list @t258 @t256 @t280 @t292)))
% 0.43/0.65  (step @p286 :rule aci_norm :args ((= (or (or @t47 @t140 @t139 @t138 @t295 @t294 @t293 @t188) @t98) (or @t47 @t140 @t139 @t138 @t295 @t294 @t293 @t188 @t98))))
% 0.43/0.65  (step @p287 :rule refl :args (@t98))
% 0.43/0.65  (step @p288 :rule refl :args (@t293))
% 0.43/0.65  (step @p289 :rule refl :args (@t294))
% 0.43/0.65  (step @p290 :rule refl :args (@t295))
% 0.43/0.65  (step @p291 :rule nary_cong :premises (@p73 @p62 @p61 @p60 @p290 @p289 @p288 @p132) :args (@t296))
% 0.43/0.65  (step @p292 :rule aci_norm :args ((= (or @t169 (or @t140 (or @t139 (or @t138 (or @t295 (or @t294 (or @t293 @t188))))))) @t296)))
% 0.43/0.65  (step @p293 :rule trans :premises (@p292 @p291))
% 0.43/0.65  (step @p294 :rule bool-and-de-morgan :args (@t86 @t31 true))
% 0.43/0.65  (step @p295 :rule nary_cong :premises (@p289 @p294) :args ((or @t294 (not (and @t86 @t31)))))
% 0.43/0.65  (step @p296 :rule bool-and-de-morgan :args (@t87 @t86 (and @t31)))
% 0.43/0.65  (step @p297 :rule trans :premises (@p296 @p295))
% 0.43/0.65  (step @p298 :rule nary_cong :premises (@p290 @p297) :args ((or @t295 (not (and @t87 @t86 @t31)))))
% 0.43/0.65  (step @p299 :rule bool-and-de-morgan :args (@t88 @t87 (and @t86 @t31)))
% 0.43/0.65  (step @p300 :rule trans :premises (@p299 @p298))
% 0.43/0.65  (step @p301 :rule nary_cong :premises (@p60 @p300) :args ((or @t138 (not (and @t88 @t87 @t86 @t31)))))
% 0.43/0.65  (step @p302 :rule bool-and-de-morgan :args (@t44 @t88 (and @t87 @t86 @t31)))
% 0.43/0.65  (step @p303 :rule trans :premises (@p302 @p301))
% 0.43/0.65  (step @p304 :rule nary_cong :premises (@p61 @p303) :args ((or @t139 (not (and @t44 @t88 @t87 @t86 @t31)))))
% 0.43/0.65  (step @p305 :rule bool-and-de-morgan :args (@t45 @t44 (and @t88 @t87 @t86 @t31)))
% 0.43/0.65  (step @p306 :rule trans :premises (@p305 @p304))
% 0.43/0.65  (step @p307 :rule nary_cong :premises (@p62 @p306) :args ((or @t140 (not (and @t45 @t44 @t88 @t87 @t86 @t31)))))
% 0.43/0.65  (step @p308 :rule bool-and-de-morgan :args (@t46 @t45 (and @t44 @t88 @t87 @t86 @t31)))
% 0.43/0.65  (step @p309 :rule trans :premises (@p308 @p307))
% 0.43/0.65  (step @p310 :rule nary_cong :premises (@p81 @p309) :args ((or @t169 (not (and @t46 @t45 @t44 @t88 @t87 @t86 @t31)))))
% 0.43/0.65  (step @p311 :rule bool-and-de-morgan :args (@t48 @t46 (and @t45 @t44 @t88 @t87 @t86 @t31)))
% 0.43/0.65  (step @p312 :rule trans :premises (@p311 @p310))
% 0.43/0.65  (step @p313 :rule trans :premises (@p312 @p293))
% 0.43/0.65  (step @p314 :rule nary_cong :premises (@p313 @p287) :args ((or (not @t89) @t98)))
% 0.43/0.65  (step @p315 :rule trans :premises (@p314 @p286))
% 0.43/0.65  (step @p316 :rule bool-impl-elim :args (@t89 @t98))
% 0.43/0.65  (step @p317 :rule trans :premises (@p316 @p315))
% 0.43/0.65  (step @p318 :rule cong :premises (@p317) :args (@t99))
% 0.43/0.65  (step @p319 :rule eq_resolve :premises (@p46 @p318))
% 0.43/0.65  (step @p320 :rule instantiate :premises (@p319) :args ((@list @t242 @t250 @t243)))
% 0.43/0.65  (step @p321 :rule aci_norm :args ((= (or (or @t47 @t140 @t139 @t138 @t294 @t188) @t106) (or @t47 @t140 @t139 @t138 @t294 @t188 @t106))))
% 0.43/0.65  (step @p322 :rule refl :args (@t106))
% 0.43/0.65  (step @p323 :rule nary_cong :premises (@p73 @p62 @p61 @p60 @p289 @p132) :args (@t297))
% 0.43/0.65  (step @p324 :rule aci_norm :args ((= (or @t169 (or @t140 (or @t139 (or @t138 (or @t294 @t188))))) @t297)))
% 0.43/0.65  (step @p325 :rule trans :premises (@p324 @p323))
% 0.43/0.65  (step @p326 :rule bool-and-de-morgan :args (@t87 @t31 true))
% 0.43/0.65  (step @p327 :rule nary_cong :premises (@p60 @p326) :args ((or @t138 (not (and @t87 @t31)))))
% 0.43/0.65  (step @p328 :rule bool-and-de-morgan :args (@t44 @t87 (and @t31)))
% 0.43/0.65  (step @p329 :rule trans :premises (@p328 @p327))
% 0.43/0.65  (step @p330 :rule nary_cong :premises (@p61 @p329) :args ((or @t139 (not (and @t44 @t87 @t31)))))
% 0.43/0.65  (step @p331 :rule bool-and-de-morgan :args (@t45 @t44 (and @t87 @t31)))
% 0.43/0.65  (step @p332 :rule trans :premises (@p331 @p330))
% 0.43/0.65  (step @p333 :rule nary_cong :premises (@p62 @p332) :args ((or @t140 (not (and @t45 @t44 @t87 @t31)))))
% 0.43/0.65  (step @p334 :rule bool-and-de-morgan :args (@t46 @t45 (and @t44 @t87 @t31)))
% 0.43/0.65  (step @p335 :rule trans :premises (@p334 @p333))
% 0.43/0.65  (step @p336 :rule nary_cong :premises (@p81 @p335) :args ((or @t169 (not (and @t46 @t45 @t44 @t87 @t31)))))
% 0.43/0.65  (step @p337 :rule bool-and-de-morgan :args (@t48 @t46 (and @t45 @t44 @t87 @t31)))
% 0.43/0.65  (step @p338 :rule trans :premises (@p337 @p336))
% 0.43/0.65  (step @p339 :rule trans :premises (@p338 @p325))
% 0.43/0.65  (step @p340 :rule nary_cong :premises (@p339 @p322) :args ((or (not @t107) @t106)))
% 0.43/0.65  (step @p341 :rule trans :premises (@p340 @p321))
% 0.43/0.65  (step @p342 :rule bool-impl-elim :args (@t107 @t106))
% 0.43/0.65  (step @p343 :rule trans :premises (@p342 @p341))
% 0.43/0.65  (step @p344 :rule cong :premises (@p343) :args (@t108))
% 0.43/0.65  (step @p345 :rule eq_resolve :premises (@p49 @p344))
% 0.43/0.65  (step @p346 :rule instantiate :premises (@p345) :args (@t298))
% 0.43/0.65  (step @p347 :rule bool-double-not-elim :args (@t262))
% 0.43/0.65  (step @p348 :rule nary_cong :premises (@p258 @p347) :args ((or @t273 (not @t263))))
% 0.43/0.65  (step @p349 :rule cnf_or_neg :args (@t273 9))
% 0.43/0.65  (step @p350 :rule eq_resolve :premises (@p349 @p348))
% 0.43/0.65  (step @p351 :rule reordering :premises (@p350) :args ((or @t262 @t273)))
% 0.43/0.65  (step @p352 :rule chain_m_resolution :premises (@p351 @p225) :args (@t262 @t274 @t275))
% 0.43/0.65  (step @p353 :rule bool-double-not-elim :args (@t264))
% 0.43/0.65  (step @p354 :rule nary_cong :premises (@p258 @p353) :args ((or @t273 (not @t265))))
% 0.43/0.65  (step @p355 :rule cnf_or_neg :args (@t273 8))
% 0.43/0.65  (step @p356 :rule eq_resolve :premises (@p355 @p354))
% 0.43/0.65  (step @p357 :rule reordering :premises (@p356) :args ((or @t264 @t273)))
% 0.43/0.65  (step @p358 :rule chain_m_resolution :premises (@p357 @p225) :args (@t264 @t274 @t275))
% 0.43/0.65  (step @p359 :rule bool-double-not-elim :args (@t266))
% 0.43/0.65  (step @p360 :rule nary_cong :premises (@p258 @p359) :args ((or @t273 (not @t267))))
% 0.43/0.65  (step @p361 :rule cnf_or_neg :args (@t273 3))
% 0.43/0.65  (step @p362 :rule eq_resolve :premises (@p361 @p360))
% 0.43/0.65  (step @p363 :rule reordering :premises (@p362) :args ((or @t266 @t273)))
% 0.43/0.65  (step @p364 :rule chain_m_resolution :premises (@p363 @p225) :args (@t266 @t274 @t275))
% 0.43/0.65  (step @p365 :rule bool-double-not-elim :args (@t268))
% 0.43/0.65  (step @p366 :rule nary_cong :premises (@p258 @p365) :args ((or @t273 (not @t269))))
% 0.43/0.65  (step @p367 :rule cnf_or_neg :args (@t273 2))
% 0.43/0.65  (step @p368 :rule eq_resolve :premises (@p367 @p366))
% 0.43/0.65  (step @p369 :rule reordering :premises (@p368) :args ((or @t268 @t273)))
% 0.43/0.65  (step @p370 :rule chain_m_resolution :premises (@p369 @p225) :args (@t268 @t274 @t275))
% 0.43/0.65  (step @p371 :rule bool-double-not-elim :args (@t270))
% 0.43/0.65  (step @p372 :rule nary_cong :premises (@p258 @p371) :args ((or @t273 (not @t271))))
% 0.43/0.65  (step @p373 :rule cnf_or_neg :args (@t273 1))
% 0.43/0.65  (step @p374 :rule eq_resolve :premises (@p373 @p372))
% 0.43/0.65  (step @p375 :rule reordering :premises (@p374) :args ((or @t270 @t273)))
% 0.43/0.65  (step @p376 :rule chain_m_resolution :premises (@p375 @p225) :args (@t270 @t274 @t275))
% 0.43/0.65  (step @p377 :rule cnf_or_neg :args (@t273 0))
% 0.43/0.65  (step @p378 :rule chain_m_resolution :premises (@p377 @p225) :args ((not @t272) @t274 @t275))
% 0.43/0.65  (step @p379 :rule cnf_or_pos :args (@t302))
% 0.43/0.65  (step @p380 :rule reordering :premises (@p379) :args ((or @t272 @t271 @t269 @t267 @t265 @t263 @t301 (not @t302))))
% 0.43/0.65  (step @p381 :rule chain_m_resolution :premises (@p380 @p378 @p376 @p370 @p364 @p358 @p352 @p346) :args (@t301 (@list true false false false false false false) (@list @t272 @t270 @t268 @t266 @t264 @t262 @t302)))
% 0.43/0.65  (step @p382 :rule cnf_and_pos :args (@t301 1))
% 0.43/0.65  (step @p383 :rule reordering :premises (@p382) :args ((or @t299 @t303)))
% 0.43/0.65  (step @p384 :rule chain_m_resolution :premises (@p383 @p381) :args (@t299 @t284 @t304))
% 0.43/0.65  (step @p385 :rule aci_norm :args ((= (or (or @t47 @t140 @t139 @t138 @t305) @t102) (or @t47 @t140 @t139 @t138 @t305 @t102))))
% 0.43/0.65  (step @p386 :rule refl :args (@t102))
% 0.43/0.65  (step @p387 :rule refl :args (@t305))
% 0.43/0.65  (step @p388 :rule nary_cong :premises (@p73 @p62 @p61 @p60 @p387) :args (@t306))
% 0.43/0.65  (step @p389 :rule aci_norm :args ((= (or @t169 (or @t140 (or @t139 (or @t138 @t305)))) @t306)))
% 0.43/0.65  (step @p390 :rule trans :premises (@p389 @p388))
% 0.43/0.65  (step @p391 :rule bool-and-de-morgan :args (@t44 @t84 true))
% 0.43/0.65  (step @p392 :rule nary_cong :premises (@p61 @p391) :args ((or @t139 (not (and @t44 @t84)))))
% 0.43/0.65  (step @p393 :rule bool-and-de-morgan :args (@t45 @t44 (and @t84)))
% 0.43/0.65  (step @p394 :rule trans :premises (@p393 @p392))
% 0.43/0.65  (step @p395 :rule nary_cong :premises (@p62 @p394) :args ((or @t140 (not (and @t45 @t44 @t84)))))
% 0.43/0.65  (step @p396 :rule bool-and-de-morgan :args (@t46 @t45 (and @t44 @t84)))
% 0.43/0.65  (step @p397 :rule trans :premises (@p396 @p395))
% 0.43/0.65  (step @p398 :rule nary_cong :premises (@p81 @p397) :args ((or @t169 (not (and @t46 @t45 @t44 @t84)))))
% 0.43/0.65  (step @p399 :rule bool-and-de-morgan :args (@t48 @t46 (and @t45 @t44 @t84)))
% 0.43/0.65  (step @p400 :rule trans :premises (@p399 @p398))
% 0.43/0.65  (step @p401 :rule trans :premises (@p400 @p390))
% 0.43/0.65  (step @p402 :rule nary_cong :premises (@p401 @p386) :args ((or (not @t103) @t102)))
% 0.43/0.65  (step @p403 :rule trans :premises (@p402 @p385))
% 0.43/0.65  (step @p404 :rule bool-impl-elim :args (@t103 @t102))
% 0.43/0.65  (step @p405 :rule trans :premises (@p404 @p403))
% 0.43/0.65  (step @p406 :rule cong :premises (@p405) :args (@t104))
% 0.43/0.65  (step @p407 :rule eq_resolve :premises (@p48 @p406))
% 0.43/0.65  (step @p408 :rule instantiate :premises (@p407) :args ((@list @t242 @t241)))
% 0.43/0.65  (step @p409 :rule bool-double-not-elim :args (@t260))
% 0.43/0.65  (step @p410 :rule nary_cong :premises (@p258 @p409) :args ((or @t273 (not @t261))))
% 0.43/0.65  (step @p411 :rule cnf_or_neg :args (@t273 10))
% 0.43/0.65  (step @p412 :rule eq_resolve :premises (@p411 @p410))
% 0.43/0.65  (step @p413 :rule reordering :premises (@p412) :args ((or @t260 @t273)))
% 0.43/0.65  (step @p414 :rule chain_m_resolution :premises (@p413 @p225) :args (@t260 @t274 @t275))
% 0.43/0.65  (step @p415 :rule cnf_or_pos :args (@t310))
% 0.43/0.65  (step @p416 :rule reordering :premises (@p415) :args ((or @t272 @t271 @t269 @t267 @t261 @t309 (not @t310))))
% 0.43/0.65  (step @p417 :rule chain_m_resolution :premises (@p416 @p378 @p376 @p370 @p364 @p414 @p408) :args (@t309 (@list true false false false false false) (@list @t272 @t270 @t268 @t266 @t260 @t310)))
% 0.43/0.65  (step @p418 :rule cnf_and_pos :args (@t309 1))
% 0.43/0.65  (step @p419 :rule reordering :premises (@p418) :args ((or @t307 @t311)))
% 0.43/0.65  (step @p420 :rule chain_m_resolution :premises (@p419 @p417) :args (@t307 @t284 @t312))
% 0.43/0.65  (step @p421 :rule cnf_and_pos :args (@t309 0))
% 0.43/0.65  (step @p422 :rule reordering :premises (@p421) :args ((or @t308 @t311)))
% 0.43/0.65  (step @p423 :rule chain_m_resolution :premises (@p422 @p417) :args (@t308 @t284 @t312))
% 0.43/0.65  (step @p424 :rule cnf_and_pos :args (@t301 0))
% 0.43/0.65  (step @p425 :rule reordering :premises (@p424) :args ((or @t300 @t303)))
% 0.43/0.65  (step @p426 :rule chain_m_resolution :premises (@p425 @p381) :args (@t300 @t284 @t304))
% 0.43/0.65  (step @p427 :rule cnf_or_pos :args (@t320))
% 0.43/0.65  (step @p428 :rule reordering :premises (@p427) :args ((or @t272 @t271 @t269 @t267 @t319 @t317 @t316 @t318 @t315 (not @t320))))
% 0.43/0.65  (step @p429 :rule chain_m_resolution :premises (@p428 @p378 @p376 @p370 @p364 @p426 @p423 @p420 @p384 @p320) :args (@t315 (@list true false false false false false false false false) (@list @t272 @t270 @t268 @t266 @t300 @t308 @t307 @t299 @t320)))
% 0.43/0.65  (step @p430 :rule aci_norm :args ((= @t329 (or @t47 @t140 @t139 @t138 @t327 @t326 @t325 @t324))))
% 0.43/0.65  (step @p431 :rule cong :premises (@p430) :args (@t330))
% 0.43/0.65  (step @p432 :rule quant-merge-prenex :args ((= (forall @t51 @t332) @t330)))
% 0.43/0.65  (step @p433 :rule alpha_equiv :args (@t333 (@list @t322 @t321) (@list @t4 @t334)))
% 0.43/0.65  (step @p434 :rule nary_cong :premises (@p63 @p62 @p61 @p60 @p433) :args (@t335))
% 0.43/0.65  (step @p435 :rule quant-miniscope-or :args ((= @t332 @t335)))
% 0.43/0.65  (step @p436 :rule trans :premises (@p435 @p434))
% 0.43/0.65  (step @p437 :rule symm :premises (@p436))
% 0.43/0.65  (step @p438 :rule cong :premises (@p437) :args ((forall @t51 @t343)))
% 0.43/0.65  (step @p439 :rule trans :premises (@p438 @p432))
% 0.43/0.65  (step @p440 :rule trans :premises (@p439 @p431))
% 0.43/0.65  (step @p441 :rule aci_norm :args ((= (or @t168 @t342) @t343)))
% 0.43/0.65  (step @p442 :rule refl :args (@t342))
% 0.43/0.65  (step @p443 :rule nary_cong :premises (@p85 @p442) :args ((or @t171 @t342)))
% 0.43/0.65  (step @p444 :rule trans :premises (@p443 @p441))
% 0.43/0.65  (step @p445 :rule bool-impl-elim :args (@t49 @t342))
% 0.43/0.65  (step @p446 :rule trans :premises (@p445 @p444))
% 0.43/0.65  (step @p447 :rule cong :premises (@p446) :args ((forall @t51 (=> @t49 @t342))))
% 0.43/0.65  (step @p448 :rule trans :premises (@p447 @p440))
% 0.43/0.65  (step @p449 :rule aci_norm :args ((= @t345 @t340)))
% 0.43/0.65  (step @p450 :rule cong :premises (@p449) :args (@t346))
% 0.43/0.65  (step @p451 :rule quant-merge-prenex :args ((= (forall @t42 @t348) @t346)))
% 0.43/0.65  (step @p452 :rule alpha_equiv :args (@t349 (@list @t334) (@list @t8)))
% 0.43/0.65  (step @p453 :rule nary_cong :premises (@p289 @p452) :args (@t350))
% 0.43/0.65  (step @p454 :rule quant-miniscope-or :args ((= @t348 @t350)))
% 0.43/0.65  (step @p455 :rule trans :premises (@p454 @p453))
% 0.43/0.65  (step @p456 :rule symm :premises (@p455))
% 0.43/0.65  (step @p457 :rule cong :premises (@p456) :args ((forall @t42 (or @t294 @t354))))
% 0.43/0.65  (step @p458 :rule trans :premises (@p457 @p451))
% 0.43/0.65  (step @p459 :rule trans :premises (@p458 @p450))
% 0.43/0.65  (step @p460 :rule bool-impl-elim :args (@t87 @t354))
% 0.43/0.65  (step @p461 :rule cong :premises (@p460) :args ((forall @t42 (=> @t87 @t354))))
% 0.43/0.65  (step @p462 :rule trans :premises (@p461 @p459))
% 0.43/0.65  (step @p463 :rule aci_norm :args ((= (or @t188 @t355) @t353)))
% 0.43/0.65  (step @p464 :rule bool-impl-elim :args (@t31 @t355))
% 0.43/0.65  (step @p465 :rule trans :premises (@p464 @p463))
% 0.43/0.65  (step @p466 :rule cong :premises (@p465) :args ((forall @t33 (=> @t31 @t355))))
% 0.43/0.65  (step @p467 :rule aci_norm :args ((= (or @t352 false @t351) @t355)))
% 0.43/0.65  (step @p468 :rule refl :args (@t351))
% 0.43/0.65  (step @p469 :rule eq-refl :args (@t110))
% 0.43/0.65  (step @p470 :rule cong :premises (@p469) :args (@t356))
% 0.43/0.65  (step @p471 :rule trans :premises (@p470 @p182))
% 0.43/0.65  (step @p472 :rule refl :args (@t352))
% 0.43/0.65  (step @p473 :rule nary_cong :premises (@p472 @p471 @p468) :args (@t357))
% 0.43/0.65  (step @p474 :rule trans :premises (@p473 @p467))
% 0.43/0.65  (step @p475 :rule quant-var-elim-eq :args ((= (forall @t29 @t360) @t357)))
% 0.43/0.65  (step @p476 :rule aci_norm :args ((= @t361 @t360)))
% 0.43/0.65  (step @p477 :rule cong :premises (@p476) :args ((forall @t29 @t361)))
% 0.43/0.65  (step @p478 :rule trans :premises (@p477 @p475))
% 0.43/0.65  (step @p479 :rule trans :premises (@p478 @p474))
% 0.43/0.65  (step @p480 :rule aci_norm :args ((= (or @t359 (or @t358 @t109)) @t361)))
% 0.43/0.65  (step @p481 :rule bool-impl-elim :args (@t111 @t109))
% 0.43/0.65  (step @p482 :rule refl :args (@t359))
% 0.43/0.65  (step @p483 :rule nary_cong :premises (@p482 @p481) :args ((or @t359 @t112)))
% 0.43/0.65  (step @p484 :rule trans :premises (@p483 @p480))
% 0.43/0.65  (step @p485 :rule bool-impl-elim :args (@t113 @t112))
% 0.43/0.65  (step @p486 :rule trans :premises (@p485 @p484))
% 0.43/0.65  (step @p487 :rule cong :premises (@p486) :args (@t114))
% 0.43/0.65  (step @p488 :rule trans :premises (@p487 @p479))
% 0.43/0.65  (step @p489 :rule cong :premises (@p211 @p488) :args (@t115))
% 0.43/0.65  (step @p490 :rule cong :premises (@p489) :args (@t116))
% 0.43/0.65  (step @p491 :rule trans :premises (@p490 @p466))
% 0.43/0.65  (step @p492 :rule refl :args (@t87))
% 0.43/0.65  (step @p493 :rule cong :premises (@p492 @p491) :args (@t117))
% 0.43/0.65  (step @p494 :rule cong :premises (@p493) :args (@t118))
% 0.43/0.65  (step @p495 :rule trans :premises (@p494 @p462))
% 0.43/0.65  (step @p496 :rule cong :premises (@p219 @p495) :args (@t119))
% 0.43/0.65  (step @p497 :rule cong :premises (@p496) :args (@t120))
% 0.43/0.65  (step @p498 :rule trans :premises (@p497 @p448))
% 0.43/0.65  (step @p499 :rule eq_resolve :premises (@p55 @p498))
% 0.43/0.65  (step @p500 :rule instantiate :premises (@p499) :args (@t298))
% 0.43/0.65  (step @p501 :rule cnf_or_pos :args (@t362))
% 0.43/0.65  (step @p502 :rule reordering :premises (@p501) :args ((or @t272 @t271 @t269 @t267 @t265 @t263 @t261 @t314 (not @t362))))
% 0.43/0.65  (step @p503 :rule chain_m_resolution :premises (@p502 @p378 @p376 @p370 @p364 @p358 @p352 @p414 @p500) :args (@t314 (@list true false false false false false false false) (@list @t272 @t270 @t268 @t266 @t264 @t262 @t260 @t362)))
% 0.43/0.65  (step @p504 :rule cnf_equiv_pos1 :args (@t315))
% 0.43/0.65  (step @p505 :rule reordering :premises (@p504) :args ((or (not @t314) @t313 (not @t315))))
% 0.43/0.65  (step @p506 :rule chain_m_resolution :premises (@p505 @p503 @p429) :args (@t313 @t285 (@list @t314 @t315)))
% 0.43/0.65  (assume-push @p526 @t287)
% 0.43/0.65  (assume-push @p527 @t291)
% 0.43/0.65  (assume-push @p528 @t313)
% 0.43/0.65  (step @p510 :rule symm :premises (@p285))
% 0.43/0.65  (step @p511 :rule cong :premises (@p506) :args (@t251))
% 0.43/0.65  (step @p512 :rule refl :args (@t245))
% 0.43/0.65  (step @p513 :rule cong :premises (@p512 @p511) :args (@t286))
% 0.43/0.65  (step @p514 :rule trans :premises (@p281 @p513 @p510))
% 0.43/0.65  (step-pop @p529 :rule scope :premises (@p514))
% 0.43/0.65  (step-pop @p530 :rule scope :premises (@p529))
% 0.43/0.65  (step-pop @p531 :rule scope :premises (@p530))
% 0.43/0.65  (step @p515 :rule process_scope :premises (@p531) :args (@t253))
% 0.43/0.65  (step @p519 :rule implies_elim :premises (@p515))
% 0.43/0.65  (step @p520 :rule cnf_and_neg :args (@t363))
% 0.43/0.65  (step @p521 :rule resolution :premises (@p520 @p519) :args (true @t363))
% 0.43/0.65  (step @p522 :rule reordering :premises (@p521) :args ((or @t253 (not @t287) (not @t291) (not @t313))))
% 0.43/0.65  (step @p523 false :rule chain_m_resolution :premises (@p522 @p506 @p285 @p281 @p227) :args (false (@list false false false true) (@list @t313 @t291 @t287 @t253)))
% 0.43/0.65  )
% 0.43/0.65  % SZS output end Proof
% 0.43/0.65  % cvc5 exiting
%------------------------------------------------------------------------------