TSTP Solution File: ALG069-10 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG069-10 : TPTP v8.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.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 : Mon May 20 18:25:43 EDT 2024
% Result : Unsatisfiable 0.14s 0.41s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 83
% Syntax : Number of formulae : 285 ( 29 unt; 0 def)
% Number of atoms : 751 ( 213 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 873 ( 407 ~; 397 |; 0 &)
% ( 69 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 71 ( 69 usr; 70 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 2 con; 0-4 aty)
% Number of variables : 117 ( 117 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f841,plain,
$false,
inference(avatar_sat_refutation,[],[f18,f22,f26,f30,f35,f41,f45,f50,f57,f61,f65,f69,f75,f79,f83,f87,f98,f106,f110,f120,f124,f131,f141,f177,f183,f192,f198,f207,f212,f237,f248,f254,f267,f284,f289,f322,f365,f379,f395,f402,f406,f419,f442,f447,f455,f498,f510,f515,f524,f528,f537,f541,f553,f558,f568,f572,f577,f584,f600,f605,f610,f616,f631,f636,f667,f765,f770,f778,f797,f825]) ).
fof(f825,plain,
( ~ spl0_9
| ~ spl0_12
| ~ spl0_58
| ~ spl0_67 ),
inference(avatar_contradiction_clause,[],[f824]) ).
fof(f824,plain,
( $false
| ~ spl0_9
| ~ spl0_12
| ~ spl0_58
| ~ spl0_67 ),
inference(trivial_inequality_removal,[],[f823]) ).
fof(f823,plain,
( tuple(sK1_ax4_U,true) != tuple(sK1_ax4_U,true)
| ~ spl0_9
| ~ spl0_12
| ~ spl0_58
| ~ spl0_67 ),
inference(forward_demodulation,[],[f804,f773]) ).
fof(f773,plain,
( sK1_ax4_U = op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U))))
| ~ spl0_9
| ~ spl0_67 ),
inference(superposition,[],[f769,f56]) ).
fof(f56,plain,
( ! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl0_9
<=> ! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f769,plain,
( sK1_ax4_U = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U)
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f767,plain,
( spl0_67
<=> sK1_ax4_U = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f804,plain,
( tuple(sK1_ax4_U,true) != tuple(op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),true)
| ~ spl0_12
| ~ spl0_58 ),
inference(superposition,[],[f68,f583]) ).
fof(f583,plain,
( true = sorti2(h(sK2_ax3_V(j(sK1_ax4_U))))
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f581,plain,
( spl0_58
<=> true = sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f68,plain,
( ! [X3] : tuple(op2(X3,X3),sorti2(X3)) != tuple(sK1_ax4_U,true)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl0_12
<=> ! [X3] : tuple(op2(X3,X3),sorti2(X3)) != tuple(sK1_ax4_U,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f797,plain,
( spl0_69
| ~ spl0_14
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f347,f286,f77,f794]) ).
fof(f794,plain,
( spl0_69
<=> sK2_ax3_V(j(sK1_ax4_U)) = ifeq2(true,true,op1(sK2_ax3_V(sK2_ax3_V(j(sK1_ax4_U))),sK2_ax3_V(sK2_ax3_V(j(sK1_ax4_U)))),sK2_ax3_V(j(sK1_ax4_U))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f77,plain,
( spl0_14
<=> ! [X4] : ifeq2(sorti1(X4),true,op1(sK2_ax3_V(X4),sK2_ax3_V(X4)),X4) = X4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f286,plain,
( spl0_35
<=> true = sorti1(sK2_ax3_V(j(sK1_ax4_U))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f347,plain,
( sK2_ax3_V(j(sK1_ax4_U)) = ifeq2(true,true,op1(sK2_ax3_V(sK2_ax3_V(j(sK1_ax4_U))),sK2_ax3_V(sK2_ax3_V(j(sK1_ax4_U)))),sK2_ax3_V(j(sK1_ax4_U)))
| ~ spl0_14
| ~ spl0_35 ),
inference(superposition,[],[f78,f288]) ).
fof(f288,plain,
( true = sorti1(sK2_ax3_V(j(sK1_ax4_U)))
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f78,plain,
( ! [X4] : ifeq2(sorti1(X4),true,op1(sK2_ax3_V(X4),sK2_ax3_V(X4)),X4) = X4
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f778,plain,
( spl0_68
| ~ spl0_15
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f348,f286,f81,f776]) ).
fof(f776,plain,
( spl0_68
<=> ! [X0] : true = ifeq(true,true,ifeq(sorti1(X0),true,sorti1(op1(X0,sK2_ax3_V(j(sK1_ax4_U)))),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f81,plain,
( spl0_15
<=> ! [X4,X3] : true = ifeq(sorti1(X3),true,ifeq(sorti1(X4),true,sorti1(op1(X4,X3)),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f348,plain,
( ! [X0] : true = ifeq(true,true,ifeq(sorti1(X0),true,sorti1(op1(X0,sK2_ax3_V(j(sK1_ax4_U)))),true),true)
| ~ spl0_15
| ~ spl0_35 ),
inference(superposition,[],[f82,f288]) ).
fof(f82,plain,
( ! [X3,X4] : true = ifeq(sorti1(X3),true,ifeq(sorti1(X4),true,sorti1(op1(X4,X3)),true),true)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f770,plain,
( spl0_67
| ~ spl0_6
| ~ spl0_9
| ~ spl0_18
| ~ spl0_35
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f390,f376,f286,f103,f55,f39,f767]) ).
fof(f39,plain,
( spl0_6
<=> ! [X6,X5] : h(op1(X6,X5)) = ifeq2(sorti1(X5),true,ifeq2(sorti1(X6),true,op2(h(X6),h(X5)),h(op1(X6,X5))),h(op1(X6,X5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f103,plain,
( spl0_18
<=> sK1_ax4_U = h(j(sK1_ax4_U)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f376,plain,
( spl0_38
<=> j(sK1_ax4_U) = op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f390,plain,
( sK1_ax4_U = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_18
| ~ spl0_35
| ~ spl0_38 ),
inference(forward_demodulation,[],[f389,f56]) ).
fof(f389,plain,
( sK1_ax4_U = ifeq2(true,true,ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U),sK1_ax4_U)
| ~ spl0_6
| ~ spl0_18
| ~ spl0_35
| ~ spl0_38 ),
inference(forward_demodulation,[],[f388,f288]) ).
fof(f388,plain,
( sK1_ax4_U = ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),sK1_ax4_U),sK1_ax4_U)
| ~ spl0_6
| ~ spl0_18
| ~ spl0_38 ),
inference(forward_demodulation,[],[f383,f105]) ).
fof(f105,plain,
( sK1_ax4_U = h(j(sK1_ax4_U))
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f383,plain,
( h(j(sK1_ax4_U)) = ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,ifeq2(sorti1(sK2_ax3_V(j(sK1_ax4_U))),true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),h(sK2_ax3_V(j(sK1_ax4_U)))),h(j(sK1_ax4_U))),h(j(sK1_ax4_U)))
| ~ spl0_6
| ~ spl0_38 ),
inference(superposition,[],[f40,f378]) ).
fof(f378,plain,
( j(sK1_ax4_U) = op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f40,plain,
( ! [X6,X5] : h(op1(X6,X5)) = ifeq2(sorti1(X5),true,ifeq2(sorti1(X6),true,op2(h(X6),h(X5)),h(op1(X6,X5))),h(op1(X6,X5)))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f765,plain,
( spl0_66
| ~ spl0_2
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f343,f286,f20,f762]) ).
fof(f762,plain,
( spl0_66
<=> sK2_ax3_V(j(sK1_ax4_U)) = ifeq2(true,true,j(h(sK2_ax3_V(j(sK1_ax4_U)))),sK2_ax3_V(j(sK1_ax4_U))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f20,plain,
( spl0_2
<=> ! [X7] : ifeq2(sorti1(X7),true,j(h(X7)),X7) = X7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f343,plain,
( sK2_ax3_V(j(sK1_ax4_U)) = ifeq2(true,true,j(h(sK2_ax3_V(j(sK1_ax4_U)))),sK2_ax3_V(j(sK1_ax4_U)))
| ~ spl0_2
| ~ spl0_35 ),
inference(superposition,[],[f21,f288]) ).
fof(f21,plain,
( ! [X7] : ifeq2(sorti1(X7),true,j(h(X7)),X7) = X7
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f667,plain,
( spl0_65
| ~ spl0_10
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f562,f550,f59,f664]) ).
fof(f664,plain,
( spl0_65
<=> true = sorti1(sK2_ax3_V(sK2_ax3_V(j(sK1_ax4_U)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f59,plain,
( spl0_10
<=> ! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f550,plain,
( spl0_53
<=> true = ifeq(true,true,sorti1(sK2_ax3_V(sK2_ax3_V(j(sK1_ax4_U)))),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f562,plain,
( true = sorti1(sK2_ax3_V(sK2_ax3_V(j(sK1_ax4_U))))
| ~ spl0_10
| ~ spl0_53 ),
inference(superposition,[],[f552,f60]) ).
fof(f60,plain,
( ! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f552,plain,
( true = ifeq(true,true,sorti1(sK2_ax3_V(sK2_ax3_V(j(sK1_ax4_U)))),true)
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f636,plain,
( spl0_64
| ~ spl0_9
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f450,f444,f55,f633]) ).
fof(f633,plain,
( spl0_64
<=> j(op2(op2(sK1_ax4_U,sK1_ax4_U),sK1_ax4_U)) = op1(j(op2(sK1_ax4_U,sK1_ax4_U)),j(sK1_ax4_U)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f444,plain,
( spl0_44
<=> j(op2(op2(sK1_ax4_U,sK1_ax4_U),sK1_ax4_U)) = ifeq2(true,true,op1(j(op2(sK1_ax4_U,sK1_ax4_U)),j(sK1_ax4_U)),j(op2(op2(sK1_ax4_U,sK1_ax4_U),sK1_ax4_U))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f450,plain,
( j(op2(op2(sK1_ax4_U,sK1_ax4_U),sK1_ax4_U)) = op1(j(op2(sK1_ax4_U,sK1_ax4_U)),j(sK1_ax4_U))
| ~ spl0_9
| ~ spl0_44 ),
inference(superposition,[],[f446,f56]) ).
fof(f446,plain,
( j(op2(op2(sK1_ax4_U,sK1_ax4_U),sK1_ax4_U)) = ifeq2(true,true,op1(j(op2(sK1_ax4_U,sK1_ax4_U)),j(sK1_ax4_U)),j(op2(op2(sK1_ax4_U,sK1_ax4_U),sK1_ax4_U)))
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f631,plain,
( spl0_63
| ~ spl0_9
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f448,f439,f55,f628]) ).
fof(f628,plain,
( spl0_63
<=> j(op2(sK1_ax4_U,op2(sK1_ax4_U,sK1_ax4_U))) = op1(j(sK1_ax4_U),j(op2(sK1_ax4_U,sK1_ax4_U))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f439,plain,
( spl0_43
<=> j(op2(sK1_ax4_U,op2(sK1_ax4_U,sK1_ax4_U))) = ifeq2(true,true,op1(j(sK1_ax4_U),j(op2(sK1_ax4_U,sK1_ax4_U))),j(op2(sK1_ax4_U,op2(sK1_ax4_U,sK1_ax4_U)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f448,plain,
( j(op2(sK1_ax4_U,op2(sK1_ax4_U,sK1_ax4_U))) = op1(j(sK1_ax4_U),j(op2(sK1_ax4_U,sK1_ax4_U)))
| ~ spl0_9
| ~ spl0_43 ),
inference(superposition,[],[f441,f56]) ).
fof(f441,plain,
( j(op2(sK1_ax4_U,op2(sK1_ax4_U,sK1_ax4_U))) = ifeq2(true,true,op1(j(sK1_ax4_U),j(op2(sK1_ax4_U,sK1_ax4_U))),j(op2(sK1_ax4_U,op2(sK1_ax4_U,sK1_ax4_U))))
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f616,plain,
( spl0_62
| ~ spl0_9
| ~ spl0_44
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f611,f607,f444,f55,f613]) ).
fof(f613,plain,
( spl0_62
<=> op2(op2(sK1_ax4_U,sK1_ax4_U),sK1_ax4_U) = h(j(op2(op2(sK1_ax4_U,sK1_ax4_U),sK1_ax4_U))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f607,plain,
( spl0_61
<=> op2(op2(sK1_ax4_U,sK1_ax4_U),sK1_ax4_U) = h(op1(j(op2(sK1_ax4_U,sK1_ax4_U)),j(sK1_ax4_U))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f611,plain,
( op2(op2(sK1_ax4_U,sK1_ax4_U),sK1_ax4_U) = h(j(op2(op2(sK1_ax4_U,sK1_ax4_U),sK1_ax4_U)))
| ~ spl0_9
| ~ spl0_44
| ~ spl0_61 ),
inference(forward_demodulation,[],[f609,f450]) ).
fof(f609,plain,
( op2(op2(sK1_ax4_U,sK1_ax4_U),sK1_ax4_U) = h(op1(j(op2(sK1_ax4_U,sK1_ax4_U)),j(sK1_ax4_U)))
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f607]) ).
fof(f610,plain,
( spl0_61
| ~ spl0_9
| ~ spl0_37
| ~ spl0_40
| ~ spl0_42 ),
inference(avatar_split_clause,[],[f434,f417,f399,f362,f55,f607]) ).
fof(f362,plain,
( spl0_37
<=> op2(sK1_ax4_U,sK1_ax4_U) = h(j(op2(sK1_ax4_U,sK1_ax4_U))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f399,plain,
( spl0_40
<=> true = sorti1(j(op2(sK1_ax4_U,sK1_ax4_U))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f417,plain,
( spl0_42
<=> ! [X0] : h(op1(X0,j(sK1_ax4_U))) = ifeq2(sorti1(X0),true,op2(h(X0),sK1_ax4_U),h(op1(X0,j(sK1_ax4_U)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f434,plain,
( op2(op2(sK1_ax4_U,sK1_ax4_U),sK1_ax4_U) = h(op1(j(op2(sK1_ax4_U,sK1_ax4_U)),j(sK1_ax4_U)))
| ~ spl0_9
| ~ spl0_37
| ~ spl0_40
| ~ spl0_42 ),
inference(forward_demodulation,[],[f433,f56]) ).
fof(f433,plain,
( h(op1(j(op2(sK1_ax4_U,sK1_ax4_U)),j(sK1_ax4_U))) = ifeq2(true,true,op2(op2(sK1_ax4_U,sK1_ax4_U),sK1_ax4_U),h(op1(j(op2(sK1_ax4_U,sK1_ax4_U)),j(sK1_ax4_U))))
| ~ spl0_37
| ~ spl0_40
| ~ spl0_42 ),
inference(forward_demodulation,[],[f423,f401]) ).
fof(f401,plain,
( true = sorti1(j(op2(sK1_ax4_U,sK1_ax4_U)))
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f423,plain,
( h(op1(j(op2(sK1_ax4_U,sK1_ax4_U)),j(sK1_ax4_U))) = ifeq2(sorti1(j(op2(sK1_ax4_U,sK1_ax4_U))),true,op2(op2(sK1_ax4_U,sK1_ax4_U),sK1_ax4_U),h(op1(j(op2(sK1_ax4_U,sK1_ax4_U)),j(sK1_ax4_U))))
| ~ spl0_37
| ~ spl0_42 ),
inference(superposition,[],[f418,f364]) ).
fof(f364,plain,
( op2(sK1_ax4_U,sK1_ax4_U) = h(j(op2(sK1_ax4_U,sK1_ax4_U)))
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f418,plain,
( ! [X0] : h(op1(X0,j(sK1_ax4_U))) = ifeq2(sorti1(X0),true,op2(h(X0),sK1_ax4_U),h(op1(X0,j(sK1_ax4_U))))
| ~ spl0_42 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f605,plain,
( spl0_60
| ~ spl0_9
| ~ spl0_35
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f360,f320,f286,f55,f602]) ).
fof(f602,plain,
( spl0_60
<=> h(op1(sK2_ax3_V(j(sK1_ax4_U)),j(sK1_ax4_U))) = op2(h(sK2_ax3_V(j(sK1_ax4_U))),sK1_ax4_U) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f320,plain,
( spl0_36
<=> ! [X0] : h(op1(X0,j(sK1_ax4_U))) = ifeq2(true,true,ifeq2(sorti1(X0),true,op2(h(X0),sK1_ax4_U),h(op1(X0,j(sK1_ax4_U)))),h(op1(X0,j(sK1_ax4_U)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f360,plain,
( h(op1(sK2_ax3_V(j(sK1_ax4_U)),j(sK1_ax4_U))) = op2(h(sK2_ax3_V(j(sK1_ax4_U))),sK1_ax4_U)
| ~ spl0_9
| ~ spl0_35
| ~ spl0_36 ),
inference(forward_demodulation,[],[f359,f56]) ).
fof(f359,plain,
( h(op1(sK2_ax3_V(j(sK1_ax4_U)),j(sK1_ax4_U))) = ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),sK1_ax4_U),h(op1(sK2_ax3_V(j(sK1_ax4_U)),j(sK1_ax4_U))))
| ~ spl0_9
| ~ spl0_35
| ~ spl0_36 ),
inference(forward_demodulation,[],[f353,f56]) ).
fof(f353,plain,
( h(op1(sK2_ax3_V(j(sK1_ax4_U)),j(sK1_ax4_U))) = ifeq2(true,true,ifeq2(true,true,op2(h(sK2_ax3_V(j(sK1_ax4_U))),sK1_ax4_U),h(op1(sK2_ax3_V(j(sK1_ax4_U)),j(sK1_ax4_U)))),h(op1(sK2_ax3_V(j(sK1_ax4_U)),j(sK1_ax4_U))))
| ~ spl0_35
| ~ spl0_36 ),
inference(superposition,[],[f321,f288]) ).
fof(f321,plain,
( ! [X0] : h(op1(X0,j(sK1_ax4_U))) = ifeq2(true,true,ifeq2(sorti1(X0),true,op2(h(X0),sK1_ax4_U),h(op1(X0,j(sK1_ax4_U)))),h(op1(X0,j(sK1_ax4_U))))
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f600,plain,
( spl0_59
| ~ spl0_9
| ~ spl0_33
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f358,f286,f265,f55,f597]) ).
fof(f597,plain,
( spl0_59
<=> h(op1(j(sK1_ax4_U),sK2_ax3_V(j(sK1_ax4_U)))) = op2(sK1_ax4_U,h(sK2_ax3_V(j(sK1_ax4_U)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f265,plain,
( spl0_33
<=> ! [X0] : h(op1(j(sK1_ax4_U),X0)) = ifeq2(sorti1(X0),true,op2(sK1_ax4_U,h(X0)),h(op1(j(sK1_ax4_U),X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f358,plain,
( h(op1(j(sK1_ax4_U),sK2_ax3_V(j(sK1_ax4_U)))) = op2(sK1_ax4_U,h(sK2_ax3_V(j(sK1_ax4_U))))
| ~ spl0_9
| ~ spl0_33
| ~ spl0_35 ),
inference(forward_demodulation,[],[f352,f56]) ).
fof(f352,plain,
( h(op1(j(sK1_ax4_U),sK2_ax3_V(j(sK1_ax4_U)))) = ifeq2(true,true,op2(sK1_ax4_U,h(sK2_ax3_V(j(sK1_ax4_U)))),h(op1(j(sK1_ax4_U),sK2_ax3_V(j(sK1_ax4_U)))))
| ~ spl0_33
| ~ spl0_35 ),
inference(superposition,[],[f266,f288]) ).
fof(f266,plain,
( ! [X0] : h(op1(j(sK1_ax4_U),X0)) = ifeq2(sorti1(X0),true,op2(sK1_ax4_U,h(X0)),h(op1(j(sK1_ax4_U),X0)))
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f584,plain,
( spl0_58
| ~ spl0_10
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f560,f534,f59,f581]) ).
fof(f534,plain,
( spl0_51
<=> true = ifeq(true,true,sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f560,plain,
( true = sorti2(h(sK2_ax3_V(j(sK1_ax4_U))))
| ~ spl0_10
| ~ spl0_51 ),
inference(superposition,[],[f536,f60]) ).
fof(f536,plain,
( true = ifeq(true,true,sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))),true)
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f577,plain,
( spl0_57
| ~ spl0_10
| ~ spl0_32
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f357,f286,f252,f59,f574]) ).
fof(f574,plain,
( spl0_57
<=> true = ifeq(true,true,sorti1(op1(sK2_ax3_V(j(sK1_ax4_U)),j(sK1_ax4_U))),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f252,plain,
( spl0_32
<=> ! [X0] : true = ifeq(true,true,ifeq(sorti1(X0),true,sorti1(op1(X0,j(sK1_ax4_U))),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f357,plain,
( true = ifeq(true,true,sorti1(op1(sK2_ax3_V(j(sK1_ax4_U)),j(sK1_ax4_U))),true)
| ~ spl0_10
| ~ spl0_32
| ~ spl0_35 ),
inference(forward_demodulation,[],[f351,f60]) ).
fof(f351,plain,
( true = ifeq(true,true,ifeq(true,true,sorti1(op1(sK2_ax3_V(j(sK1_ax4_U)),j(sK1_ax4_U))),true),true)
| ~ spl0_32
| ~ spl0_35 ),
inference(superposition,[],[f253,f288]) ).
fof(f253,plain,
( ! [X0] : true = ifeq(true,true,ifeq(sorti1(X0),true,sorti1(op1(X0,j(sK1_ax4_U))),true),true)
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f572,plain,
( spl0_56
| ~ spl0_10
| ~ spl0_15
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f356,f286,f81,f59,f570]) ).
fof(f570,plain,
( spl0_56
<=> ! [X0] : true = ifeq(sorti1(X0),true,sorti1(op1(sK2_ax3_V(j(sK1_ax4_U)),X0)),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f356,plain,
( ! [X0] : true = ifeq(sorti1(X0),true,sorti1(op1(sK2_ax3_V(j(sK1_ax4_U)),X0)),true)
| ~ spl0_10
| ~ spl0_15
| ~ spl0_35 ),
inference(forward_demodulation,[],[f349,f60]) ).
fof(f349,plain,
( ! [X0] : true = ifeq(sorti1(X0),true,ifeq(true,true,sorti1(op1(sK2_ax3_V(j(sK1_ax4_U)),X0)),true),true)
| ~ spl0_15
| ~ spl0_35 ),
inference(superposition,[],[f82,f288]) ).
fof(f568,plain,
( spl0_55
| ~ spl0_30
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f350,f286,f235,f565]) ).
fof(f565,plain,
( spl0_55
<=> true = ifeq(true,true,sorti1(op1(j(sK1_ax4_U),sK2_ax3_V(j(sK1_ax4_U)))),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f235,plain,
( spl0_30
<=> ! [X0] : true = ifeq(sorti1(X0),true,sorti1(op1(j(sK1_ax4_U),X0)),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f350,plain,
( true = ifeq(true,true,sorti1(op1(j(sK1_ax4_U),sK2_ax3_V(j(sK1_ax4_U)))),true)
| ~ spl0_30
| ~ spl0_35 ),
inference(superposition,[],[f236,f288]) ).
fof(f236,plain,
( ! [X0] : true = ifeq(sorti1(X0),true,sorti1(op1(j(sK1_ax4_U),X0)),true)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f558,plain,
( spl0_54
| ~ spl0_1
| ~ spl0_34
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f374,f362,f281,f16,f555]) ).
fof(f555,plain,
( spl0_54
<=> true = ifeq(sorti1(j(op2(sK1_ax4_U,sK1_ax4_U))),true,true,true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f16,plain,
( spl0_1
<=> ! [X4] : true = ifeq(sorti1(X4),true,sorti2(h(X4)),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f281,plain,
( spl0_34
<=> true = sorti2(op2(sK1_ax4_U,sK1_ax4_U)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f374,plain,
( true = ifeq(sorti1(j(op2(sK1_ax4_U,sK1_ax4_U))),true,true,true)
| ~ spl0_1
| ~ spl0_34
| ~ spl0_37 ),
inference(forward_demodulation,[],[f372,f283]) ).
fof(f283,plain,
( true = sorti2(op2(sK1_ax4_U,sK1_ax4_U))
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f372,plain,
( true = ifeq(sorti1(j(op2(sK1_ax4_U,sK1_ax4_U))),true,sorti2(op2(sK1_ax4_U,sK1_ax4_U)),true)
| ~ spl0_1
| ~ spl0_37 ),
inference(superposition,[],[f17,f364]) ).
fof(f17,plain,
( ! [X4] : true = ifeq(sorti1(X4),true,sorti2(h(X4)),true)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f553,plain,
( spl0_53
| ~ spl0_11
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f346,f286,f63,f550]) ).
fof(f63,plain,
( spl0_11
<=> ! [X4] : true = ifeq(sorti1(X4),true,sorti1(sK2_ax3_V(X4)),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f346,plain,
( true = ifeq(true,true,sorti1(sK2_ax3_V(sK2_ax3_V(j(sK1_ax4_U)))),true)
| ~ spl0_11
| ~ spl0_35 ),
inference(superposition,[],[f64,f288]) ).
fof(f64,plain,
( ! [X4] : true = ifeq(sorti1(X4),true,sorti1(sK2_ax3_V(X4)),true)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f541,plain,
( spl0_52
| ~ spl0_16
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f300,f281,f85,f539]) ).
fof(f539,plain,
( spl0_52
<=> ! [X0] : true = ifeq(true,true,ifeq(sorti2(X0),true,sorti2(op2(X0,op2(sK1_ax4_U,sK1_ax4_U))),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f85,plain,
( spl0_16
<=> ! [X4,X3] : true = ifeq(sorti2(X3),true,ifeq(sorti2(X4),true,sorti2(op2(X4,X3)),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f300,plain,
( ! [X0] : true = ifeq(true,true,ifeq(sorti2(X0),true,sorti2(op2(X0,op2(sK1_ax4_U,sK1_ax4_U))),true),true)
| ~ spl0_16
| ~ spl0_34 ),
inference(superposition,[],[f86,f283]) ).
fof(f86,plain,
( ! [X3,X4] : true = ifeq(sorti2(X3),true,ifeq(sorti2(X4),true,sorti2(op2(X4,X3)),true),true)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f537,plain,
( spl0_51
| ~ spl0_1
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f342,f286,f16,f534]) ).
fof(f342,plain,
( true = ifeq(true,true,sorti2(h(sK2_ax3_V(j(sK1_ax4_U)))),true)
| ~ spl0_1
| ~ spl0_35 ),
inference(superposition,[],[f17,f288]) ).
fof(f528,plain,
( spl0_50
| ~ spl0_10
| ~ spl0_16
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f316,f281,f85,f59,f526]) ).
fof(f526,plain,
( spl0_50
<=> ! [X0] : true = ifeq(sorti2(X0),true,sorti2(op2(op2(sK1_ax4_U,sK1_ax4_U),X0)),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f316,plain,
( ! [X0] : true = ifeq(sorti2(X0),true,sorti2(op2(op2(sK1_ax4_U,sK1_ax4_U),X0)),true)
| ~ spl0_10
| ~ spl0_16
| ~ spl0_34 ),
inference(forward_demodulation,[],[f301,f60]) ).
fof(f301,plain,
( ! [X0] : true = ifeq(sorti2(X0),true,ifeq(true,true,sorti2(op2(op2(sK1_ax4_U,sK1_ax4_U),X0)),true),true)
| ~ spl0_16
| ~ spl0_34 ),
inference(superposition,[],[f86,f283]) ).
fof(f524,plain,
( ~ spl0_49
| ~ spl0_12
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f299,f281,f67,f521]) ).
fof(f521,plain,
( spl0_49
<=> tuple(sK1_ax4_U,true) = tuple(op2(op2(sK1_ax4_U,sK1_ax4_U),op2(sK1_ax4_U,sK1_ax4_U)),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f299,plain,
( tuple(sK1_ax4_U,true) != tuple(op2(op2(sK1_ax4_U,sK1_ax4_U),op2(sK1_ax4_U,sK1_ax4_U)),true)
| ~ spl0_12
| ~ spl0_34 ),
inference(superposition,[],[f68,f283]) ).
fof(f515,plain,
( spl0_48
| ~ spl0_10
| ~ spl0_22
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f318,f281,f129,f59,f512]) ).
fof(f512,plain,
( spl0_48
<=> true = ifeq(true,true,sorti2(op2(op2(sK1_ax4_U,sK1_ax4_U),sK1_ax4_U)),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f129,plain,
( spl0_22
<=> ! [X0] : true = ifeq(true,true,ifeq(sorti2(X0),true,sorti2(op2(X0,sK1_ax4_U)),true),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f318,plain,
( true = ifeq(true,true,sorti2(op2(op2(sK1_ax4_U,sK1_ax4_U),sK1_ax4_U)),true)
| ~ spl0_10
| ~ spl0_22
| ~ spl0_34 ),
inference(forward_demodulation,[],[f305,f60]) ).
fof(f305,plain,
( true = ifeq(true,true,ifeq(true,true,sorti2(op2(op2(sK1_ax4_U,sK1_ax4_U),sK1_ax4_U)),true),true)
| ~ spl0_22
| ~ spl0_34 ),
inference(superposition,[],[f130,f283]) ).
fof(f130,plain,
( ! [X0] : true = ifeq(true,true,ifeq(sorti2(X0),true,sorti2(op2(X0,sK1_ax4_U)),true),true)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f510,plain,
( spl0_47
| ~ spl0_21
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f304,f281,f122,f507]) ).
fof(f507,plain,
( spl0_47
<=> true = ifeq(true,true,sorti2(op2(sK1_ax4_U,op2(sK1_ax4_U,sK1_ax4_U))),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f122,plain,
( spl0_21
<=> ! [X0] : true = ifeq(sorti2(X0),true,sorti2(op2(sK1_ax4_U,X0)),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f304,plain,
( true = ifeq(true,true,sorti2(op2(sK1_ax4_U,op2(sK1_ax4_U,sK1_ax4_U))),true)
| ~ spl0_21
| ~ spl0_34 ),
inference(superposition,[],[f123,f283]) ).
fof(f123,plain,
( ! [X0] : true = ifeq(sorti2(X0),true,sorti2(op2(sK1_ax4_U,X0)),true)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f498,plain,
( spl0_46
| ~ spl0_7
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f297,f281,f43,f496]) ).
fof(f496,plain,
( spl0_46
<=> ! [X0] : j(op2(X0,op2(sK1_ax4_U,sK1_ax4_U))) = ifeq2(true,true,ifeq2(sorti2(X0),true,op1(j(X0),j(op2(sK1_ax4_U,sK1_ax4_U))),j(op2(X0,op2(sK1_ax4_U,sK1_ax4_U)))),j(op2(X0,op2(sK1_ax4_U,sK1_ax4_U)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f43,plain,
( spl0_7
<=> ! [X9,X8] : j(op2(X9,X8)) = ifeq2(sorti2(X8),true,ifeq2(sorti2(X9),true,op1(j(X9),j(X8)),j(op2(X9,X8))),j(op2(X9,X8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f297,plain,
( ! [X0] : j(op2(X0,op2(sK1_ax4_U,sK1_ax4_U))) = ifeq2(true,true,ifeq2(sorti2(X0),true,op1(j(X0),j(op2(sK1_ax4_U,sK1_ax4_U))),j(op2(X0,op2(sK1_ax4_U,sK1_ax4_U)))),j(op2(X0,op2(sK1_ax4_U,sK1_ax4_U))))
| ~ spl0_7
| ~ spl0_34 ),
inference(superposition,[],[f44,f283]) ).
fof(f44,plain,
( ! [X8,X9] : j(op2(X9,X8)) = ifeq2(sorti2(X8),true,ifeq2(sorti2(X9),true,op1(j(X9),j(X8)),j(op2(X9,X8))),j(op2(X9,X8)))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f455,plain,
( spl0_45
| ~ spl0_7
| ~ spl0_9
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f315,f281,f55,f43,f453]) ).
fof(f453,plain,
( spl0_45
<=> ! [X0] : j(op2(op2(sK1_ax4_U,sK1_ax4_U),X0)) = ifeq2(sorti2(X0),true,op1(j(op2(sK1_ax4_U,sK1_ax4_U)),j(X0)),j(op2(op2(sK1_ax4_U,sK1_ax4_U),X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f315,plain,
( ! [X0] : j(op2(op2(sK1_ax4_U,sK1_ax4_U),X0)) = ifeq2(sorti2(X0),true,op1(j(op2(sK1_ax4_U,sK1_ax4_U)),j(X0)),j(op2(op2(sK1_ax4_U,sK1_ax4_U),X0)))
| ~ spl0_7
| ~ spl0_9
| ~ spl0_34 ),
inference(forward_demodulation,[],[f298,f56]) ).
fof(f298,plain,
( ! [X0] : j(op2(op2(sK1_ax4_U,sK1_ax4_U),X0)) = ifeq2(sorti2(X0),true,ifeq2(true,true,op1(j(op2(sK1_ax4_U,sK1_ax4_U)),j(X0)),j(op2(op2(sK1_ax4_U,sK1_ax4_U),X0))),j(op2(op2(sK1_ax4_U,sK1_ax4_U),X0)))
| ~ spl0_7
| ~ spl0_34 ),
inference(superposition,[],[f44,f283]) ).
fof(f447,plain,
( spl0_44
| ~ spl0_9
| ~ spl0_19
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f317,f281,f108,f55,f444]) ).
fof(f108,plain,
( spl0_19
<=> ! [X0] : j(op2(X0,sK1_ax4_U)) = ifeq2(true,true,ifeq2(sorti2(X0),true,op1(j(X0),j(sK1_ax4_U)),j(op2(X0,sK1_ax4_U))),j(op2(X0,sK1_ax4_U))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f317,plain,
( j(op2(op2(sK1_ax4_U,sK1_ax4_U),sK1_ax4_U)) = ifeq2(true,true,op1(j(op2(sK1_ax4_U,sK1_ax4_U)),j(sK1_ax4_U)),j(op2(op2(sK1_ax4_U,sK1_ax4_U),sK1_ax4_U)))
| ~ spl0_9
| ~ spl0_19
| ~ spl0_34 ),
inference(forward_demodulation,[],[f303,f56]) ).
fof(f303,plain,
( j(op2(op2(sK1_ax4_U,sK1_ax4_U),sK1_ax4_U)) = ifeq2(true,true,ifeq2(true,true,op1(j(op2(sK1_ax4_U,sK1_ax4_U)),j(sK1_ax4_U)),j(op2(op2(sK1_ax4_U,sK1_ax4_U),sK1_ax4_U))),j(op2(op2(sK1_ax4_U,sK1_ax4_U),sK1_ax4_U)))
| ~ spl0_19
| ~ spl0_34 ),
inference(superposition,[],[f109,f283]) ).
fof(f109,plain,
( ! [X0] : j(op2(X0,sK1_ax4_U)) = ifeq2(true,true,ifeq2(sorti2(X0),true,op1(j(X0),j(sK1_ax4_U)),j(op2(X0,sK1_ax4_U))),j(op2(X0,sK1_ax4_U)))
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f442,plain,
( spl0_43
| ~ spl0_17
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f302,f281,f96,f439]) ).
fof(f96,plain,
( spl0_17
<=> ! [X0] : j(op2(sK1_ax4_U,X0)) = ifeq2(sorti2(X0),true,op1(j(sK1_ax4_U),j(X0)),j(op2(sK1_ax4_U,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f302,plain,
( j(op2(sK1_ax4_U,op2(sK1_ax4_U,sK1_ax4_U))) = ifeq2(true,true,op1(j(sK1_ax4_U),j(op2(sK1_ax4_U,sK1_ax4_U))),j(op2(sK1_ax4_U,op2(sK1_ax4_U,sK1_ax4_U))))
| ~ spl0_17
| ~ spl0_34 ),
inference(superposition,[],[f97,f283]) ).
fof(f97,plain,
( ! [X0] : j(op2(sK1_ax4_U,X0)) = ifeq2(sorti2(X0),true,op1(j(sK1_ax4_U),j(X0)),j(op2(sK1_ax4_U,X0)))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f419,plain,
( spl0_42
| ~ spl0_9
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f326,f320,f55,f417]) ).
fof(f326,plain,
( ! [X0] : h(op1(X0,j(sK1_ax4_U))) = ifeq2(sorti1(X0),true,op2(h(X0),sK1_ax4_U),h(op1(X0,j(sK1_ax4_U))))
| ~ spl0_9
| ~ spl0_36 ),
inference(superposition,[],[f321,f56]) ).
fof(f406,plain,
( spl0_41
| ~ spl0_10
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f258,f252,f59,f404]) ).
fof(f404,plain,
( spl0_41
<=> ! [X0] : true = ifeq(sorti1(X0),true,sorti1(op1(X0,j(sK1_ax4_U))),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f258,plain,
( ! [X0] : true = ifeq(sorti1(X0),true,sorti1(op1(X0,j(sK1_ax4_U))),true)
| ~ spl0_10
| ~ spl0_32 ),
inference(superposition,[],[f253,f60]) ).
fof(f402,plain,
( spl0_40
| ~ spl0_10
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f396,f392,f59,f399]) ).
fof(f392,plain,
( spl0_39
<=> true = ifeq(true,true,sorti1(j(op2(sK1_ax4_U,sK1_ax4_U))),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f396,plain,
( true = sorti1(j(op2(sK1_ax4_U,sK1_ax4_U)))
| ~ spl0_10
| ~ spl0_39 ),
inference(superposition,[],[f394,f60]) ).
fof(f394,plain,
( true = ifeq(true,true,sorti1(j(op2(sK1_ax4_U,sK1_ax4_U))),true)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f395,plain,
( spl0_39
| ~ spl0_10
| ~ spl0_15
| ~ spl0_23
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f229,f209,f138,f81,f59,f392]) ).
fof(f138,plain,
( spl0_23
<=> true = sorti1(j(sK1_ax4_U)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f209,plain,
( spl0_29
<=> j(op2(sK1_ax4_U,sK1_ax4_U)) = op1(j(sK1_ax4_U),j(sK1_ax4_U)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f229,plain,
( true = ifeq(true,true,sorti1(j(op2(sK1_ax4_U,sK1_ax4_U))),true)
| ~ spl0_10
| ~ spl0_15
| ~ spl0_23
| ~ spl0_29 ),
inference(forward_demodulation,[],[f228,f60]) ).
fof(f228,plain,
( true = ifeq(true,true,ifeq(true,true,sorti1(j(op2(sK1_ax4_U,sK1_ax4_U))),true),true)
| ~ spl0_15
| ~ spl0_23
| ~ spl0_29 ),
inference(forward_demodulation,[],[f220,f140]) ).
fof(f140,plain,
( true = sorti1(j(sK1_ax4_U))
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f220,plain,
( true = ifeq(sorti1(j(sK1_ax4_U)),true,ifeq(sorti1(j(sK1_ax4_U)),true,sorti1(j(op2(sK1_ax4_U,sK1_ax4_U))),true),true)
| ~ spl0_15
| ~ spl0_29 ),
inference(superposition,[],[f82,f211]) ).
fof(f211,plain,
( j(op2(sK1_ax4_U,sK1_ax4_U)) = op1(j(sK1_ax4_U),j(sK1_ax4_U))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f379,plain,
( spl0_38
| ~ spl0_9
| ~ spl0_31 ),
inference(avatar_split_clause,[],[f249,f245,f55,f376]) ).
fof(f245,plain,
( spl0_31
<=> j(sK1_ax4_U) = ifeq2(true,true,op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))),j(sK1_ax4_U)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f249,plain,
( j(sK1_ax4_U) = op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U)))
| ~ spl0_9
| ~ spl0_31 ),
inference(superposition,[],[f247,f56]) ).
fof(f247,plain,
( j(sK1_ax4_U) = ifeq2(true,true,op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))),j(sK1_ax4_U))
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f365,plain,
( spl0_37
| ~ spl0_6
| ~ spl0_9
| ~ spl0_18
| ~ spl0_23
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f233,f209,f138,f103,f55,f39,f362]) ).
fof(f233,plain,
( op2(sK1_ax4_U,sK1_ax4_U) = h(j(op2(sK1_ax4_U,sK1_ax4_U)))
| ~ spl0_6
| ~ spl0_9
| ~ spl0_18
| ~ spl0_23
| ~ spl0_29 ),
inference(forward_demodulation,[],[f232,f56]) ).
fof(f232,plain,
( h(j(op2(sK1_ax4_U,sK1_ax4_U))) = ifeq2(true,true,op2(sK1_ax4_U,sK1_ax4_U),h(j(op2(sK1_ax4_U,sK1_ax4_U))))
| ~ spl0_6
| ~ spl0_9
| ~ spl0_18
| ~ spl0_23
| ~ spl0_29 ),
inference(forward_demodulation,[],[f231,f56]) ).
fof(f231,plain,
( h(j(op2(sK1_ax4_U,sK1_ax4_U))) = ifeq2(true,true,ifeq2(true,true,op2(sK1_ax4_U,sK1_ax4_U),h(j(op2(sK1_ax4_U,sK1_ax4_U)))),h(j(op2(sK1_ax4_U,sK1_ax4_U))))
| ~ spl0_6
| ~ spl0_18
| ~ spl0_23
| ~ spl0_29 ),
inference(forward_demodulation,[],[f230,f140]) ).
fof(f230,plain,
( h(j(op2(sK1_ax4_U,sK1_ax4_U))) = ifeq2(sorti1(j(sK1_ax4_U)),true,ifeq2(sorti1(j(sK1_ax4_U)),true,op2(sK1_ax4_U,sK1_ax4_U),h(j(op2(sK1_ax4_U,sK1_ax4_U)))),h(j(op2(sK1_ax4_U,sK1_ax4_U))))
| ~ spl0_6
| ~ spl0_18
| ~ spl0_29 ),
inference(forward_demodulation,[],[f221,f105]) ).
fof(f221,plain,
( h(j(op2(sK1_ax4_U,sK1_ax4_U))) = ifeq2(sorti1(j(sK1_ax4_U)),true,ifeq2(sorti1(j(sK1_ax4_U)),true,op2(h(j(sK1_ax4_U)),h(j(sK1_ax4_U))),h(j(op2(sK1_ax4_U,sK1_ax4_U)))),h(j(op2(sK1_ax4_U,sK1_ax4_U))))
| ~ spl0_6
| ~ spl0_29 ),
inference(superposition,[],[f40,f211]) ).
fof(f322,plain,
( spl0_36
| ~ spl0_6
| ~ spl0_18
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f149,f138,f103,f39,f320]) ).
fof(f149,plain,
( ! [X0] : h(op1(X0,j(sK1_ax4_U))) = ifeq2(true,true,ifeq2(sorti1(X0),true,op2(h(X0),sK1_ax4_U),h(op1(X0,j(sK1_ax4_U)))),h(op1(X0,j(sK1_ax4_U))))
| ~ spl0_6
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_demodulation,[],[f144,f140]) ).
fof(f144,plain,
( ! [X0] : h(op1(X0,j(sK1_ax4_U))) = ifeq2(sorti1(j(sK1_ax4_U)),true,ifeq2(sorti1(X0),true,op2(h(X0),sK1_ax4_U),h(op1(X0,j(sK1_ax4_U)))),h(op1(X0,j(sK1_ax4_U))))
| ~ spl0_6
| ~ spl0_18 ),
inference(superposition,[],[f40,f105]) ).
fof(f289,plain,
( spl0_35
| ~ spl0_10
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f213,f204,f59,f286]) ).
fof(f204,plain,
( spl0_28
<=> true = ifeq(true,true,sorti1(sK2_ax3_V(j(sK1_ax4_U))),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f213,plain,
( true = sorti1(sK2_ax3_V(j(sK1_ax4_U)))
| ~ spl0_10
| ~ spl0_28 ),
inference(superposition,[],[f206,f60]) ).
fof(f206,plain,
( true = ifeq(true,true,sorti1(sK2_ax3_V(j(sK1_ax4_U))),true)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f284,plain,
( spl0_34
| ~ spl0_10
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f193,f189,f59,f281]) ).
fof(f189,plain,
( spl0_26
<=> true = ifeq(true,true,sorti2(op2(sK1_ax4_U,sK1_ax4_U)),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f193,plain,
( true = sorti2(op2(sK1_ax4_U,sK1_ax4_U))
| ~ spl0_10
| ~ spl0_26 ),
inference(superposition,[],[f191,f60]) ).
fof(f191,plain,
( true = ifeq(true,true,sorti2(op2(sK1_ax4_U,sK1_ax4_U)),true)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f267,plain,
( spl0_33
| ~ spl0_6
| ~ spl0_9
| ~ spl0_18
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f151,f138,f103,f55,f39,f265]) ).
fof(f151,plain,
( ! [X0] : h(op1(j(sK1_ax4_U),X0)) = ifeq2(sorti1(X0),true,op2(sK1_ax4_U,h(X0)),h(op1(j(sK1_ax4_U),X0)))
| ~ spl0_6
| ~ spl0_9
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_demodulation,[],[f150,f56]) ).
fof(f150,plain,
( ! [X0] : h(op1(j(sK1_ax4_U),X0)) = ifeq2(sorti1(X0),true,ifeq2(true,true,op2(sK1_ax4_U,h(X0)),h(op1(j(sK1_ax4_U),X0))),h(op1(j(sK1_ax4_U),X0)))
| ~ spl0_6
| ~ spl0_18
| ~ spl0_23 ),
inference(forward_demodulation,[],[f145,f140]) ).
fof(f145,plain,
( ! [X0] : h(op1(j(sK1_ax4_U),X0)) = ifeq2(sorti1(X0),true,ifeq2(sorti1(j(sK1_ax4_U)),true,op2(sK1_ax4_U,h(X0)),h(op1(j(sK1_ax4_U),X0))),h(op1(j(sK1_ax4_U),X0)))
| ~ spl0_6
| ~ spl0_18 ),
inference(superposition,[],[f40,f105]) ).
fof(f254,plain,
( spl0_32
| ~ spl0_15
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f163,f138,f81,f252]) ).
fof(f163,plain,
( ! [X0] : true = ifeq(true,true,ifeq(sorti1(X0),true,sorti1(op1(X0,j(sK1_ax4_U))),true),true)
| ~ spl0_15
| ~ spl0_23 ),
inference(superposition,[],[f82,f140]) ).
fof(f248,plain,
( spl0_31
| ~ spl0_14
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f162,f138,f77,f245]) ).
fof(f162,plain,
( j(sK1_ax4_U) = ifeq2(true,true,op1(sK2_ax3_V(j(sK1_ax4_U)),sK2_ax3_V(j(sK1_ax4_U))),j(sK1_ax4_U))
| ~ spl0_14
| ~ spl0_23 ),
inference(superposition,[],[f78,f140]) ).
fof(f237,plain,
( spl0_30
| ~ spl0_10
| ~ spl0_15
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f172,f138,f81,f59,f235]) ).
fof(f172,plain,
( ! [X0] : true = ifeq(sorti1(X0),true,sorti1(op1(j(sK1_ax4_U),X0)),true)
| ~ spl0_10
| ~ spl0_15
| ~ spl0_23 ),
inference(forward_demodulation,[],[f164,f60]) ).
fof(f164,plain,
( ! [X0] : true = ifeq(sorti1(X0),true,ifeq(true,true,sorti1(op1(j(sK1_ax4_U),X0)),true),true)
| ~ spl0_15
| ~ spl0_23 ),
inference(superposition,[],[f82,f140]) ).
fof(f212,plain,
( spl0_29
| ~ spl0_9
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f178,f174,f55,f209]) ).
fof(f174,plain,
( spl0_24
<=> j(op2(sK1_ax4_U,sK1_ax4_U)) = ifeq2(true,true,op1(j(sK1_ax4_U),j(sK1_ax4_U)),j(op2(sK1_ax4_U,sK1_ax4_U))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f178,plain,
( j(op2(sK1_ax4_U,sK1_ax4_U)) = op1(j(sK1_ax4_U),j(sK1_ax4_U))
| ~ spl0_9
| ~ spl0_24 ),
inference(superposition,[],[f176,f56]) ).
fof(f176,plain,
( j(op2(sK1_ax4_U,sK1_ax4_U)) = ifeq2(true,true,op1(j(sK1_ax4_U),j(sK1_ax4_U)),j(op2(sK1_ax4_U,sK1_ax4_U)))
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f207,plain,
( spl0_28
| ~ spl0_11
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f161,f138,f63,f204]) ).
fof(f161,plain,
( true = ifeq(true,true,sorti1(sK2_ax3_V(j(sK1_ax4_U))),true)
| ~ spl0_11
| ~ spl0_23 ),
inference(superposition,[],[f64,f140]) ).
fof(f198,plain,
( spl0_27
| ~ spl0_10
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f134,f129,f59,f196]) ).
fof(f196,plain,
( spl0_27
<=> ! [X0] : true = ifeq(sorti2(X0),true,sorti2(op2(X0,sK1_ax4_U)),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f134,plain,
( ! [X0] : true = ifeq(sorti2(X0),true,sorti2(op2(X0,sK1_ax4_U)),true)
| ~ spl0_10
| ~ spl0_22 ),
inference(superposition,[],[f130,f60]) ).
fof(f192,plain,
( spl0_26
| ~ spl0_5
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f125,f122,f32,f189]) ).
fof(f32,plain,
( spl0_5
<=> true = sorti2(sK1_ax4_U) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f125,plain,
( true = ifeq(true,true,sorti2(op2(sK1_ax4_U,sK1_ax4_U)),true)
| ~ spl0_5
| ~ spl0_21 ),
inference(superposition,[],[f123,f34]) ).
fof(f34,plain,
( true = sorti2(sK1_ax4_U)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f183,plain,
( spl0_25
| ~ spl0_9
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f113,f108,f55,f181]) ).
fof(f181,plain,
( spl0_25
<=> ! [X0] : j(op2(X0,sK1_ax4_U)) = ifeq2(sorti2(X0),true,op1(j(X0),j(sK1_ax4_U)),j(op2(X0,sK1_ax4_U))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f113,plain,
( ! [X0] : j(op2(X0,sK1_ax4_U)) = ifeq2(sorti2(X0),true,op1(j(X0),j(sK1_ax4_U)),j(op2(X0,sK1_ax4_U)))
| ~ spl0_9
| ~ spl0_19 ),
inference(superposition,[],[f109,f56]) ).
fof(f177,plain,
( spl0_24
| ~ spl0_5
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f99,f96,f32,f174]) ).
fof(f99,plain,
( j(op2(sK1_ax4_U,sK1_ax4_U)) = ifeq2(true,true,op1(j(sK1_ax4_U),j(sK1_ax4_U)),j(op2(sK1_ax4_U,sK1_ax4_U)))
| ~ spl0_5
| ~ spl0_17 ),
inference(superposition,[],[f97,f34]) ).
fof(f141,plain,
( spl0_23
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f93,f72,f59,f138]) ).
fof(f72,plain,
( spl0_13
<=> true = ifeq(true,true,sorti1(j(sK1_ax4_U)),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f93,plain,
( true = sorti1(j(sK1_ax4_U))
| ~ spl0_10
| ~ spl0_13 ),
inference(superposition,[],[f74,f60]) ).
fof(f74,plain,
( true = ifeq(true,true,sorti1(j(sK1_ax4_U)),true)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f131,plain,
( spl0_22
| ~ spl0_5
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f88,f85,f32,f129]) ).
fof(f88,plain,
( ! [X0] : true = ifeq(true,true,ifeq(sorti2(X0),true,sorti2(op2(X0,sK1_ax4_U)),true),true)
| ~ spl0_5
| ~ spl0_16 ),
inference(superposition,[],[f86,f34]) ).
fof(f124,plain,
( spl0_21
| ~ spl0_5
| ~ spl0_10
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f90,f85,f59,f32,f122]) ).
fof(f90,plain,
( ! [X0] : true = ifeq(sorti2(X0),true,sorti2(op2(sK1_ax4_U,X0)),true)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f89,f60]) ).
fof(f89,plain,
( ! [X0] : true = ifeq(sorti2(X0),true,ifeq(true,true,sorti2(op2(sK1_ax4_U,X0)),true),true)
| ~ spl0_5
| ~ spl0_16 ),
inference(superposition,[],[f86,f34]) ).
fof(f120,plain,
( ~ spl0_20
| ~ spl0_5
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f70,f67,f32,f117]) ).
fof(f117,plain,
( spl0_20
<=> tuple(sK1_ax4_U,true) = tuple(op2(sK1_ax4_U,sK1_ax4_U),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f70,plain,
( tuple(sK1_ax4_U,true) != tuple(op2(sK1_ax4_U,sK1_ax4_U),true)
| ~ spl0_5
| ~ spl0_12 ),
inference(superposition,[],[f68,f34]) ).
fof(f110,plain,
( spl0_19
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f51,f43,f32,f108]) ).
fof(f51,plain,
( ! [X0] : j(op2(X0,sK1_ax4_U)) = ifeq2(true,true,ifeq2(sorti2(X0),true,op1(j(X0),j(sK1_ax4_U)),j(op2(X0,sK1_ax4_U))),j(op2(X0,sK1_ax4_U)))
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f44,f34]) ).
fof(f106,plain,
( spl0_18
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f91,f55,f47,f103]) ).
fof(f47,plain,
( spl0_8
<=> sK1_ax4_U = ifeq2(true,true,h(j(sK1_ax4_U)),sK1_ax4_U) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f91,plain,
( sK1_ax4_U = h(j(sK1_ax4_U))
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f49,f56]) ).
fof(f49,plain,
( sK1_ax4_U = ifeq2(true,true,h(j(sK1_ax4_U)),sK1_ax4_U)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f98,plain,
( spl0_17
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f53,f43,f32,f96]) ).
fof(f53,plain,
( ! [X0] : j(op2(sK1_ax4_U,X0)) = ifeq2(sorti2(X0),true,op1(j(sK1_ax4_U),j(X0)),j(op2(sK1_ax4_U,X0)))
| ~ spl0_5
| ~ spl0_7 ),
inference(forward_demodulation,[],[f52,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f52,plain,
( ! [X0] : j(op2(sK1_ax4_U,X0)) = ifeq2(sorti2(X0),true,ifeq2(true,true,op1(j(sK1_ax4_U),j(X0)),j(op2(sK1_ax4_U,X0))),j(op2(sK1_ax4_U,X0)))
| ~ spl0_5
| ~ spl0_7 ),
inference(superposition,[],[f44,f34]) ).
fof(f87,plain,
spl0_16,
inference(avatar_split_clause,[],[f4,f85]) ).
fof(f4,axiom,
! [X3,X4] : true = ifeq(sorti2(X3),true,ifeq(sorti2(X4),true,sorti2(op2(X4,X3)),true),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f83,plain,
spl0_15,
inference(avatar_split_clause,[],[f3,f81]) ).
fof(f3,axiom,
! [X3,X4] : true = ifeq(sorti1(X3),true,ifeq(sorti1(X4),true,sorti1(op1(X4,X3)),true),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f79,plain,
spl0_14,
inference(avatar_split_clause,[],[f6,f77]) ).
fof(f6,axiom,
! [X4] : ifeq2(sorti1(X4),true,op1(sK2_ax3_V(X4),sK2_ax3_V(X4)),X4) = X4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f75,plain,
( spl0_13
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f37,f32,f24,f72]) ).
fof(f24,plain,
( spl0_3
<=> ! [X3] : true = ifeq(sorti2(X3),true,sorti1(j(X3)),true) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f37,plain,
( true = ifeq(true,true,sorti1(j(sK1_ax4_U)),true)
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f25,f34]) ).
fof(f25,plain,
( ! [X3] : true = ifeq(sorti2(X3),true,sorti1(j(X3)),true)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f69,plain,
spl0_12,
inference(avatar_split_clause,[],[f7,f67]) ).
fof(f7,axiom,
! [X3] : tuple(op2(X3,X3),sorti2(X3)) != tuple(sK1_ax4_U,true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4_1) ).
fof(f65,plain,
spl0_11,
inference(avatar_split_clause,[],[f5,f63]) ).
fof(f5,axiom,
! [X4] : true = ifeq(sorti1(X4),true,sorti1(sK2_ax3_V(X4)),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_1) ).
fof(f61,plain,
spl0_10,
inference(avatar_split_clause,[],[f2,f59]) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f57,plain,
spl0_9,
inference(avatar_split_clause,[],[f1,f55]) ).
fof(f50,plain,
( spl0_8
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f36,f32,f28,f47]) ).
fof(f28,plain,
( spl0_4
<=> ! [X10] : ifeq2(sorti2(X10),true,h(j(X10)),X10) = X10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f36,plain,
( sK1_ax4_U = ifeq2(true,true,h(j(sK1_ax4_U)),sK1_ax4_U)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f29,f34]) ).
fof(f29,plain,
( ! [X10] : ifeq2(sorti2(X10),true,h(j(X10)),X10) = X10
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f45,plain,
spl0_7,
inference(avatar_split_clause,[],[f13,f43]) ).
fof(f13,axiom,
! [X8,X9] : j(op2(X9,X8)) = ifeq2(sorti2(X8),true,ifeq2(sorti2(X9),true,op1(j(X9),j(X8)),j(op2(X9,X8))),j(op2(X9,X8))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
fof(f41,plain,
spl0_6,
inference(avatar_split_clause,[],[f10,f39]) ).
fof(f10,axiom,
! [X6,X5] : h(op1(X6,X5)) = ifeq2(sorti1(X5),true,ifeq2(sorti1(X6),true,op2(h(X6),h(X5)),h(op1(X6,X5))),h(op1(X6,X5))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f35,plain,
spl0_5,
inference(avatar_split_clause,[],[f8,f32]) ).
fof(f8,axiom,
true = sorti2(sK1_ax4_U),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f30,plain,
spl0_4,
inference(avatar_split_clause,[],[f14,f28]) ).
fof(f14,axiom,
! [X10] : ifeq2(sorti2(X10),true,h(j(X10)),X10) = X10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f26,plain,
spl0_3,
inference(avatar_split_clause,[],[f12,f24]) ).
fof(f12,axiom,
! [X3] : true = ifeq(sorti2(X3),true,sorti1(j(X3)),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).
fof(f22,plain,
spl0_2,
inference(avatar_split_clause,[],[f11,f20]) ).
fof(f11,axiom,
! [X7] : ifeq2(sorti1(X7),true,j(h(X7)),X7) = X7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
fof(f18,plain,
spl0_1,
inference(avatar_split_clause,[],[f9,f16]) ).
fof(f9,axiom,
! [X4] : true = ifeq(sorti1(X4),true,sorti2(h(X4)),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG069-10 : TPTP v8.2.0. Released v7.3.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n006.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat May 18 22:58:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % (23768)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (23771)WARNING: value z3 for option sas not known
% 0.14/0.38 % (23769)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (23773)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (23772)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (23770)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (23774)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (23771)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (23775)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.40 % (23773)First to succeed.
% 0.14/0.41 % (23773)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23768"
% 0.14/0.41 % (23773)Refutation found. Thanks to Tanya!
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.41 % (23773)------------------------------
% 0.14/0.41 % (23773)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.41 % (23773)Termination reason: Refutation
% 0.14/0.41
% 0.14/0.41 % (23773)Memory used [KB]: 1217
% 0.14/0.41 % (23773)Time elapsed: 0.027 s
% 0.14/0.41 % (23773)Instructions burned: 43 (million)
% 0.14/0.41 % (23768)Success in time 0.043 s
%------------------------------------------------------------------------------