TSTP Solution File: COL049-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COL049-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 : Sun May 5 04:45:40 EDT 2024
% Result : Unsatisfiable 1.32s 0.54s
% Output : Refutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 76
% Syntax : Number of formulae : 265 ( 9 unt; 0 def)
% Number of atoms : 707 ( 188 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 875 ( 433 ~; 370 |; 0 &)
% ( 72 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 74 ( 72 usr; 73 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 281 ( 281 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3361,plain,
$false,
inference(avatar_sat_refutation,[],[f8,f12,f16,f26,f38,f46,f50,f54,f58,f101,f105,f220,f224,f244,f409,f413,f570,f574,f616,f620,f697,f701,f705,f709,f713,f717,f721,f1012,f1016,f1020,f1024,f1178,f1182,f1186,f1303,f1308,f1355,f1359,f1363,f1368,f1661,f1667,f1671,f1675,f1679,f1684,f1688,f1692,f1696,f1700,f1704,f1708,f1712,f1716,f2203,f2572,f2576,f2580,f2585,f2589,f2593,f2597,f2601,f2605,f2609,f2613,f2617,f2621,f2625,f2629,f2633,f2648,f3284,f3286]) ).
fof(f3286,plain,
( ~ spl0_21
| ~ spl0_60 ),
inference(avatar_contradiction_clause,[],[f3285]) ).
fof(f3285,plain,
( $false
| ~ spl0_21
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f3281]) ).
fof(f3281,plain,
( apply(m,apply(w,apply(b,f(apply(apply(b,m),apply(apply(b,w),b)))))) != apply(m,apply(w,apply(b,f(apply(apply(b,m),apply(apply(b,w),b))))))
| ~ spl0_21
| ~ spl0_60 ),
inference(superposition,[],[f696,f2588]) ).
fof(f2588,plain,
( ! [X0] : apply(m,apply(w,apply(b,X0))) = apply(X0,apply(m,apply(w,apply(b,X0))))
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f2587]) ).
fof(f2587,plain,
( spl0_60
<=> ! [X0] : apply(m,apply(w,apply(b,X0))) = apply(X0,apply(m,apply(w,apply(b,X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f696,plain,
( ! [X2,X0,X1] : apply(X2,apply(X0,apply(X1,f(apply(apply(b,X2),apply(apply(b,X0),X1)))))) != apply(f(apply(apply(b,X2),apply(apply(b,X0),X1))),apply(X2,apply(X0,apply(X1,f(apply(apply(b,X2),apply(apply(b,X0),X1)))))))
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f695,plain,
( spl0_21
<=> ! [X2,X0,X1] : apply(X2,apply(X0,apply(X1,f(apply(apply(b,X2),apply(apply(b,X0),X1)))))) != apply(f(apply(apply(b,X2),apply(apply(b,X0),X1))),apply(X2,apply(X0,apply(X1,f(apply(apply(b,X2),apply(apply(b,X0),X1))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f3284,plain,
( ~ spl0_22
| ~ spl0_60 ),
inference(avatar_contradiction_clause,[],[f3283]) ).
fof(f3283,plain,
( $false
| ~ spl0_22
| ~ spl0_60 ),
inference(trivial_inequality_removal,[],[f3282]) ).
fof(f3282,plain,
( apply(m,apply(w,apply(b,f(apply(apply(b,apply(apply(b,m),w)),b))))) != apply(m,apply(w,apply(b,f(apply(apply(b,apply(apply(b,m),w)),b)))))
| ~ spl0_22
| ~ spl0_60 ),
inference(superposition,[],[f700,f2588]) ).
fof(f700,plain,
( ! [X2,X0,X1] : apply(X0,apply(X1,apply(X2,f(apply(apply(b,apply(apply(b,X0),X1)),X2))))) != apply(f(apply(apply(b,apply(apply(b,X0),X1)),X2)),apply(X0,apply(X1,apply(X2,f(apply(apply(b,apply(apply(b,X0),X1)),X2))))))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f699,plain,
( spl0_22
<=> ! [X2,X0,X1] : apply(X0,apply(X1,apply(X2,f(apply(apply(b,apply(apply(b,X0),X1)),X2))))) != apply(f(apply(apply(b,apply(apply(b,X0),X1)),X2)),apply(X0,apply(X1,apply(X2,f(apply(apply(b,apply(apply(b,X0),X1)),X2)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f2648,plain,
( spl0_72
| ~ spl0_14
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f522,f411,f242,f2646]) ).
fof(f2646,plain,
( spl0_72
<=> ! [X0] : apply(X0,apply(apply(b,X0),X0)) = apply(apply(w,apply(apply(b,m),b)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f242,plain,
( spl0_14
<=> ! [X0,X1] : apply(X0,apply(apply(b,X0),X1)) = apply(apply(m,apply(b,X0)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f411,plain,
( spl0_16
<=> ! [X2,X0,X1] : apply(apply(w,apply(apply(b,X0),X1)),X2) = apply(apply(X0,apply(X1,X2)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f522,plain,
( ! [X0] : apply(X0,apply(apply(b,X0),X0)) = apply(apply(w,apply(apply(b,m),b)),X0)
| ~ spl0_14
| ~ spl0_16 ),
inference(superposition,[],[f412,f243]) ).
fof(f243,plain,
( ! [X0,X1] : apply(X0,apply(apply(b,X0),X1)) = apply(apply(m,apply(b,X0)),X1)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f412,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(apply(b,X0),X1)),X2) = apply(apply(X0,apply(X1,X2)),X2)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f2633,plain,
( spl0_71
| ~ spl0_2
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f483,f411,f10,f2631]) ).
fof(f2631,plain,
( spl0_71
<=> ! [X0,X1] : apply(apply(X1,apply(m,X0)),X0) = apply(apply(w,apply(apply(b,X1),X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f10,plain,
( spl0_2
<=> ! [X0] : apply(m,X0) = apply(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f483,plain,
( ! [X0,X1] : apply(apply(X1,apply(m,X0)),X0) = apply(apply(w,apply(apply(b,X1),X0)),X0)
| ~ spl0_2
| ~ spl0_16 ),
inference(superposition,[],[f412,f11]) ).
fof(f11,plain,
( ! [X0] : apply(m,X0) = apply(X0,X0)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f10]) ).
fof(f2629,plain,
( spl0_70
| ~ spl0_2
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f482,f411,f10,f2627]) ).
fof(f2627,plain,
( spl0_70
<=> ! [X0,X1] : apply(apply(w,apply(apply(b,X1),m)),X0) = apply(apply(X1,apply(X0,X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f482,plain,
( ! [X0,X1] : apply(apply(w,apply(apply(b,X1),m)),X0) = apply(apply(X1,apply(X0,X0)),X0)
| ~ spl0_2
| ~ spl0_16 ),
inference(superposition,[],[f412,f11]) ).
fof(f2625,plain,
( spl0_69
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f457,f407,f242,f14,f2623]) ).
fof(f2623,plain,
( spl0_69
<=> ! [X0] : apply(X0,apply(X0,apply(apply(w,b),X0))) = apply(m,apply(apply(b,X0),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f14,plain,
( spl0_3
<=> ! [X0,X1] : apply(apply(w,X0),X1) = apply(apply(X0,X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f407,plain,
( spl0_15
<=> ! [X0,X1] : apply(m,apply(apply(b,X0),X1)) = apply(X0,apply(X1,apply(apply(b,X0),X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f457,plain,
( ! [X0] : apply(X0,apply(X0,apply(apply(w,b),X0))) = apply(m,apply(apply(b,X0),X0))
| ~ spl0_3
| ~ spl0_14
| ~ spl0_15 ),
inference(forward_demodulation,[],[f422,f344]) ).
fof(f344,plain,
( ! [X0] : apply(X0,apply(apply(w,b),X0)) = apply(apply(m,apply(b,X0)),X0)
| ~ spl0_3
| ~ spl0_14 ),
inference(superposition,[],[f243,f15]) ).
fof(f15,plain,
( ! [X0,X1] : apply(apply(w,X0),X1) = apply(apply(X0,X1),X1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f422,plain,
( ! [X0] : apply(m,apply(apply(b,X0),X0)) = apply(X0,apply(apply(m,apply(b,X0)),X0))
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f408,f243]) ).
fof(f408,plain,
( ! [X0,X1] : apply(m,apply(apply(b,X0),X1)) = apply(X0,apply(X1,apply(apply(b,X0),X1)))
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f2621,plain,
( spl0_68
| ~ spl0_2
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f343,f242,f10,f2619]) ).
fof(f2619,plain,
( spl0_68
<=> ! [X0] : apply(apply(m,apply(b,X0)),apply(b,X0)) = apply(X0,apply(m,apply(b,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f343,plain,
( ! [X0] : apply(apply(m,apply(b,X0)),apply(b,X0)) = apply(X0,apply(m,apply(b,X0)))
| ~ spl0_2
| ~ spl0_14 ),
inference(superposition,[],[f243,f11]) ).
fof(f2617,plain,
( spl0_67
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f266,f218,f99,f2615]) ).
fof(f2615,plain,
( spl0_67
<=> ! [X0] : apply(apply(w,apply(w,apply(w,b))),X0) = apply(apply(X0,apply(X0,X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f99,plain,
( spl0_10
<=> ! [X0,X1] : apply(X0,apply(X0,X1)) = apply(apply(apply(w,b),X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f218,plain,
( spl0_12
<=> ! [X0,X1] : apply(apply(w,apply(w,X0)),X1) = apply(apply(apply(X0,X1),X1),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f266,plain,
( ! [X0] : apply(apply(w,apply(w,apply(w,b))),X0) = apply(apply(X0,apply(X0,X0)),X0)
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f219,f100]) ).
fof(f100,plain,
( ! [X0,X1] : apply(X0,apply(X0,X1)) = apply(apply(apply(w,b),X0),X1)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f219,plain,
( ! [X0,X1] : apply(apply(w,apply(w,X0)),X1) = apply(apply(apply(X0,X1),X1),X1)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f2613,plain,
( spl0_66
| ~ spl0_2
| ~ spl0_4
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f210,f103,f24,f10,f2611]) ).
fof(f2611,plain,
( spl0_66
<=> ! [X2,X0,X1] : apply(X0,apply(apply(X1,X1),X2)) = apply(apply(apply(b,X0),apply(m,X1)),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f24,plain,
( spl0_4
<=> ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f103,plain,
( spl0_11
<=> ! [X0,X1] : apply(apply(w,apply(b,X0)),X1) = apply(X0,apply(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f210,plain,
( ! [X2,X0,X1] : apply(X0,apply(apply(X1,X1),X2)) = apply(apply(apply(b,X0),apply(m,X1)),X2)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_demodulation,[],[f182,f156]) ).
fof(f156,plain,
( ! [X0,X1] : apply(apply(w,apply(b,X1)),X0) = apply(X1,apply(m,X0))
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f104,f11]) ).
fof(f104,plain,
( ! [X0,X1] : apply(apply(w,apply(b,X0)),X1) = apply(X0,apply(X1,X1))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f182,plain,
( ! [X2,X0,X1] : apply(X0,apply(apply(X1,X1),X2)) = apply(apply(apply(w,apply(b,apply(b,X0))),X1),X2)
| ~ spl0_4
| ~ spl0_11 ),
inference(superposition,[],[f25,f104]) ).
fof(f25,plain,
( ! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f2609,plain,
( spl0_65
| ~ spl0_2
| ~ spl0_4
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f208,f103,f24,f10,f2607]) ).
fof(f2607,plain,
( spl0_65
<=> ! [X2,X0,X1] : apply(apply(X0,X0),apply(X1,X2)) = apply(apply(apply(b,apply(m,X0)),X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f208,plain,
( ! [X2,X0,X1] : apply(apply(X0,X0),apply(X1,X2)) = apply(apply(apply(b,apply(m,X0)),X1),X2)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_11 ),
inference(forward_demodulation,[],[f179,f156]) ).
fof(f179,plain,
( ! [X2,X0,X1] : apply(apply(X0,X0),apply(X1,X2)) = apply(apply(apply(apply(w,apply(b,b)),X0),X1),X2)
| ~ spl0_4
| ~ spl0_11 ),
inference(superposition,[],[f25,f104]) ).
fof(f2605,plain,
( spl0_64
| ~ spl0_2
| ~ spl0_3
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f206,f103,f14,f10,f2603]) ).
fof(f2603,plain,
( spl0_64
<=> ! [X0,X1] : apply(apply(w,X0),apply(X1,X1)) = apply(apply(X0,apply(m,X1)),apply(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f206,plain,
( ! [X0,X1] : apply(apply(w,X0),apply(X1,X1)) = apply(apply(X0,apply(m,X1)),apply(X1,X1))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_11 ),
inference(forward_demodulation,[],[f177,f156]) ).
fof(f177,plain,
( ! [X0,X1] : apply(apply(w,X0),apply(X1,X1)) = apply(apply(apply(w,apply(b,X0)),X1),apply(X1,X1))
| ~ spl0_3
| ~ spl0_11 ),
inference(superposition,[],[f15,f104]) ).
fof(f2601,plain,
( spl0_63
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f205,f103,f99,f10,f2599]) ).
fof(f2599,plain,
( spl0_63
<=> ! [X0,X1] : apply(apply(apply(w,b),X0),apply(X1,X1)) = apply(X0,apply(X0,apply(m,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f205,plain,
( ! [X0,X1] : apply(apply(apply(w,b),X0),apply(X1,X1)) = apply(X0,apply(X0,apply(m,X1)))
| ~ spl0_2
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f176,f156]) ).
fof(f176,plain,
( ! [X0,X1] : apply(apply(apply(w,b),X0),apply(X1,X1)) = apply(X0,apply(apply(w,apply(b,X0)),X1))
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f100,f104]) ).
fof(f2597,plain,
( spl0_62
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f195,f103,f10,f2595]) ).
fof(f2595,plain,
( spl0_62
<=> ! [X0,X1] : apply(X1,apply(apply(X0,X0),apply(m,X0))) = apply(X1,apply(m,apply(X0,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f195,plain,
( ! [X0,X1] : apply(X1,apply(apply(X0,X0),apply(m,X0))) = apply(X1,apply(m,apply(X0,X0)))
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_demodulation,[],[f194,f156]) ).
fof(f194,plain,
( ! [X0,X1] : apply(apply(w,apply(b,X1)),apply(X0,X0)) = apply(X1,apply(apply(X0,X0),apply(m,X0)))
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_demodulation,[],[f159,f156]) ).
fof(f159,plain,
( ! [X0,X1] : apply(apply(w,apply(b,X1)),apply(X0,X0)) = apply(X1,apply(apply(w,apply(b,apply(X0,X0))),X0))
| ~ spl0_11 ),
inference(superposition,[],[f104,f104]) ).
fof(f2593,plain,
( spl0_61
| ~ spl0_3
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f171,f103,f14,f2591]) ).
fof(f2591,plain,
( spl0_61
<=> ! [X0,X1] : apply(apply(w,apply(w,apply(b,X0))),X1) = apply(apply(X0,apply(X1,X1)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f171,plain,
( ! [X0,X1] : apply(apply(w,apply(w,apply(b,X0))),X1) = apply(apply(X0,apply(X1,X1)),X1)
| ~ spl0_3
| ~ spl0_11 ),
inference(superposition,[],[f15,f104]) ).
fof(f2589,plain,
( spl0_60
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f153,f103,f10,f2587]) ).
fof(f153,plain,
( ! [X0] : apply(m,apply(w,apply(b,X0))) = apply(X0,apply(m,apply(w,apply(b,X0))))
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f104,f11]) ).
fof(f2585,plain,
( spl0_59
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f142,f99,f48,f44,f10,f2582]) ).
fof(f2582,plain,
( spl0_59
<=> apply(apply(w,w),apply(w,b)) = apply(apply(w,b),apply(m,apply(w,b))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f44,plain,
( spl0_6
<=> ! [X0] : apply(apply(w,w),X0) = apply(apply(X0,X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f48,plain,
( spl0_7
<=> ! [X0] : apply(apply(X0,X0),X0) = apply(apply(w,m),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f142,plain,
( apply(apply(w,w),apply(w,b)) = apply(apply(w,b),apply(m,apply(w,b)))
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f141,f75]) ).
fof(f75,plain,
( ! [X0] : apply(apply(w,w),X0) = apply(apply(w,m),X0)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f49,f45]) ).
fof(f45,plain,
( ! [X0] : apply(apply(w,w),X0) = apply(apply(X0,X0),X0)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f49,plain,
( ! [X0] : apply(apply(X0,X0),X0) = apply(apply(w,m),X0)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f141,plain,
( apply(apply(w,m),apply(w,b)) = apply(apply(w,b),apply(m,apply(w,b)))
| ~ spl0_2
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f119,f11]) ).
fof(f119,plain,
( apply(apply(w,m),apply(w,b)) = apply(apply(w,b),apply(apply(w,b),apply(w,b)))
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f100,f49]) ).
fof(f2580,plain,
( spl0_58
| ~ spl0_3
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f135,f99,f14,f2578]) ).
fof(f2578,plain,
( spl0_58
<=> ! [X0,X1] : apply(apply(w,apply(apply(w,b),X0)),X1) = apply(apply(X0,apply(X0,X1)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f135,plain,
( ! [X0,X1] : apply(apply(w,apply(apply(w,b),X0)),X1) = apply(apply(X0,apply(X0,X1)),X1)
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f15,f100]) ).
fof(f2576,plain,
( spl0_57
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f121,f99,f10,f2574]) ).
fof(f2574,plain,
( spl0_57
<=> ! [X0] : apply(m,apply(apply(w,b),X0)) = apply(X0,apply(X0,apply(apply(w,b),X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f121,plain,
( ! [X0] : apply(m,apply(apply(w,b),X0)) = apply(X0,apply(X0,apply(apply(w,b),X0)))
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f100,f11]) ).
fof(f2572,plain,
( spl0_56
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f117,f99,f10,f2570]) ).
fof(f2570,plain,
( spl0_56
<=> ! [X0] : apply(apply(w,b),apply(apply(w,b),X0)) = apply(apply(m,apply(w,b)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f117,plain,
( ! [X0] : apply(apply(w,b),apply(apply(w,b),X0)) = apply(apply(m,apply(w,b)),X0)
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f100,f11]) ).
fof(f2203,plain,
( ~ spl0_55
| ~ spl0_5
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f1962,f1677,f36,f2200]) ).
fof(f2200,plain,
( spl0_55
<=> apply(m,apply(b,f(apply(apply(b,m),b)))) = apply(apply(w,w),apply(b,f(apply(apply(b,m),b)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f36,plain,
( spl0_5
<=> ! [X0,X1] : apply(X0,apply(X1,f(apply(apply(b,X0),X1)))) != apply(f(apply(apply(b,X0),X1)),apply(X0,apply(X1,f(apply(apply(b,X0),X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1677,plain,
( spl0_45
<=> ! [X0] : apply(apply(w,w),apply(b,X0)) = apply(X0,apply(m,apply(b,X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f1962,plain,
( apply(m,apply(b,f(apply(apply(b,m),b)))) != apply(apply(w,w),apply(b,f(apply(apply(b,m),b))))
| ~ spl0_5
| ~ spl0_45 ),
inference(superposition,[],[f37,f1678]) ).
fof(f1678,plain,
( ! [X0] : apply(apply(w,w),apply(b,X0)) = apply(X0,apply(m,apply(b,X0)))
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f1677]) ).
fof(f37,plain,
( ! [X0,X1] : apply(X0,apply(X1,f(apply(apply(b,X0),X1)))) != apply(f(apply(apply(b,X0),X1)),apply(X0,apply(X1,f(apply(apply(b,X0),X1)))))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f1716,plain,
( spl0_54
| ~ spl0_11
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f521,f411,f103,f1714]) ).
fof(f1714,plain,
( spl0_54
<=> ! [X0] : apply(X0,apply(X0,X0)) = apply(apply(w,apply(apply(b,w),b)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f521,plain,
( ! [X0] : apply(X0,apply(X0,X0)) = apply(apply(w,apply(apply(b,w),b)),X0)
| ~ spl0_11
| ~ spl0_16 ),
inference(superposition,[],[f412,f104]) ).
fof(f1712,plain,
( spl0_53
| ~ spl0_3
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f344,f242,f14,f1710]) ).
fof(f1710,plain,
( spl0_53
<=> ! [X0] : apply(X0,apply(apply(w,b),X0)) = apply(apply(m,apply(b,X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f1708,plain,
( spl0_52
| ~ spl0_1
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f1608,f1361,f6,f1706]) ).
fof(f1706,plain,
( spl0_52
<=> ! [X0] : apply(X0,apply(m,f(apply(w,apply(b,X0))))) != apply(f(apply(w,apply(b,X0))),apply(X0,apply(m,f(apply(w,apply(b,X0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f6,plain,
( spl0_1
<=> ! [X1] : apply(X1,f(X1)) != apply(f(X1),apply(X1,f(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1361,plain,
( spl0_39
<=> ! [X0,X1] : apply(apply(w,apply(b,X1)),X0) = apply(X1,apply(m,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f1608,plain,
( ! [X0] : apply(X0,apply(m,f(apply(w,apply(b,X0))))) != apply(f(apply(w,apply(b,X0))),apply(X0,apply(m,f(apply(w,apply(b,X0))))))
| ~ spl0_1
| ~ spl0_39 ),
inference(superposition,[],[f7,f1362]) ).
fof(f1362,plain,
( ! [X0,X1] : apply(apply(w,apply(b,X1)),X0) = apply(X1,apply(m,X0))
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f1361]) ).
fof(f7,plain,
( ! [X1] : apply(X1,f(X1)) != apply(f(X1),apply(X1,f(X1)))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f6]) ).
fof(f1704,plain,
( spl0_51
| ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f315,f222,f218,f1702]) ).
fof(f1702,plain,
( spl0_51
<=> ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(w,apply(X0,X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f222,plain,
( spl0_13
<=> ! [X0,X1] : apply(apply(apply(w,X0),X1),X1) = apply(apply(w,apply(X0,X1)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f315,plain,
( ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(w,apply(X0,X0)),X0)
| ~ spl0_12
| ~ spl0_13 ),
inference(superposition,[],[f223,f219]) ).
fof(f223,plain,
( ! [X0,X1] : apply(apply(apply(w,X0),X1),X1) = apply(apply(w,apply(X0,X1)),X1)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f1700,plain,
( spl0_50
| ~ spl0_3
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f271,f218,f14,f1698]) ).
fof(f1698,plain,
( spl0_50
<=> ! [X0,X1] : apply(apply(w,apply(w,X0)),X1) = apply(apply(w,apply(X0,X1)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f271,plain,
( ! [X0,X1] : apply(apply(w,apply(w,X0)),X1) = apply(apply(w,apply(X0,X1)),X1)
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f219,f15]) ).
fof(f1696,plain,
( spl0_49
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f161,f103,f10,f1694]) ).
fof(f1694,plain,
( spl0_49
<=> ! [X0] : apply(apply(w,apply(b,apply(X0,X0))),X0) = apply(m,apply(X0,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f161,plain,
( ! [X0] : apply(apply(w,apply(b,apply(X0,X0))),X0) = apply(m,apply(X0,X0))
| ~ spl0_2
| ~ spl0_11 ),
inference(superposition,[],[f104,f11]) ).
fof(f1692,plain,
( spl0_48
| ~ spl0_3
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f97,f56,f14,f1690]) ).
fof(f1690,plain,
( spl0_48
<=> ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(w,apply(m,X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f56,plain,
( spl0_9
<=> ! [X0] : apply(apply(w,X0),X0) = apply(apply(m,X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f97,plain,
( ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(w,apply(m,X0)),X0)
| ~ spl0_3
| ~ spl0_9 ),
inference(forward_demodulation,[],[f96,f20]) ).
fof(f20,plain,
( ! [X0,X1] : apply(apply(w,apply(w,X0)),X1) = apply(apply(apply(X0,X1),X1),X1)
| ~ spl0_3 ),
inference(superposition,[],[f15,f15]) ).
fof(f96,plain,
( ! [X0] : apply(apply(w,apply(m,X0)),X0) = apply(apply(apply(w,X0),X0),X0)
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f15,f57]) ).
fof(f57,plain,
( ! [X0] : apply(apply(w,X0),X0) = apply(apply(m,X0),X0)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f1688,plain,
( spl0_47
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f90,f48,f44,f14,f1686]) ).
fof(f1686,plain,
( spl0_47
<=> ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(w,apply(w,m)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f90,plain,
( ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(w,apply(w,m)),X0)
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f83,f66]) ).
fof(f66,plain,
( ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(apply(X0,X0),X0),X0)
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f15,f45]) ).
fof(f83,plain,
( ! [X0] : apply(apply(apply(X0,X0),X0),X0) = apply(apply(w,apply(w,m)),X0)
| ~ spl0_3
| ~ spl0_7 ),
inference(superposition,[],[f15,f49]) ).
fof(f1684,plain,
( spl0_46
| ~ spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f78,f48,f10,f1681]) ).
fof(f1681,plain,
( spl0_46
<=> apply(m,apply(w,m)) = apply(apply(m,apply(w,m)),apply(w,m)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f78,plain,
( apply(m,apply(w,m)) = apply(apply(m,apply(w,m)),apply(w,m))
| ~ spl0_2
| ~ spl0_7 ),
inference(superposition,[],[f49,f11]) ).
fof(f1679,plain,
( spl0_45
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f71,f44,f24,f10,f1677]) ).
fof(f71,plain,
( ! [X0] : apply(apply(w,w),apply(b,X0)) = apply(X0,apply(m,apply(b,X0)))
| ~ spl0_2
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f64,f11]) ).
fof(f64,plain,
( ! [X0] : apply(X0,apply(apply(b,X0),apply(b,X0))) = apply(apply(w,w),apply(b,X0))
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f45,f25]) ).
fof(f1675,plain,
( spl0_44
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f69,f44,f14,f1673]) ).
fof(f1673,plain,
( spl0_44
<=> ! [X0] : apply(apply(apply(w,w),X0),X0) = apply(apply(w,apply(X0,X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f69,plain,
( ! [X0] : apply(apply(apply(w,w),X0),X0) = apply(apply(w,apply(X0,X0)),X0)
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f15,f45]) ).
fof(f1671,plain,
( spl0_43
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f66,f44,f14,f1669]) ).
fof(f1669,plain,
( spl0_43
<=> ! [X0] : apply(apply(w,apply(w,w)),X0) = apply(apply(apply(X0,X0),X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f1667,plain,
( spl0_42
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f59,f44,f10,f1664]) ).
fof(f1664,plain,
( spl0_42
<=> apply(m,apply(w,w)) = apply(apply(m,apply(w,w)),apply(w,w)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f59,plain,
( apply(m,apply(w,w)) = apply(apply(m,apply(w,w)),apply(w,w))
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f45,f11]) ).
fof(f1661,plain,
( spl0_41
| ~ spl0_5
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f443,f407,f36,f1659]) ).
fof(f1659,plain,
( spl0_41
<=> ! [X0,X1] : apply(X0,apply(apply(X1,apply(apply(b,apply(b,X0)),X1)),f(apply(m,apply(apply(b,apply(b,X0)),X1))))) != apply(f(apply(m,apply(apply(b,apply(b,X0)),X1))),apply(X0,apply(apply(X1,apply(apply(b,apply(b,X0)),X1)),f(apply(m,apply(apply(b,apply(b,X0)),X1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f443,plain,
( ! [X0,X1] : apply(X0,apply(apply(X1,apply(apply(b,apply(b,X0)),X1)),f(apply(m,apply(apply(b,apply(b,X0)),X1))))) != apply(f(apply(m,apply(apply(b,apply(b,X0)),X1))),apply(X0,apply(apply(X1,apply(apply(b,apply(b,X0)),X1)),f(apply(m,apply(apply(b,apply(b,X0)),X1))))))
| ~ spl0_5
| ~ spl0_15 ),
inference(superposition,[],[f37,f408]) ).
fof(f1368,plain,
( spl0_40
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f270,f218,f99,f1365]) ).
fof(f1365,plain,
( spl0_40
<=> apply(b,apply(b,b)) = apply(apply(w,apply(w,w)),b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f270,plain,
( apply(b,apply(b,b)) = apply(apply(w,apply(w,w)),b)
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f219,f100]) ).
fof(f1363,plain,
( spl0_39
| ~ spl0_2
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f156,f103,f10,f1361]) ).
fof(f1359,plain,
( spl0_38
| ~ spl0_3
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f122,f99,f14,f1357]) ).
fof(f1357,plain,
( spl0_38
<=> ! [X0] : apply(X0,apply(X0,X0)) = apply(apply(w,apply(w,b)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f122,plain,
( ! [X0] : apply(X0,apply(X0,X0)) = apply(apply(w,apply(w,b)),X0)
| ~ spl0_3
| ~ spl0_10 ),
inference(superposition,[],[f100,f15]) ).
fof(f1355,plain,
( spl0_37
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f106,f99,f10,f1353]) ).
fof(f1353,plain,
( spl0_37
<=> ! [X0] : apply(apply(apply(w,b),X0),X0) = apply(X0,apply(m,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f106,plain,
( ! [X0] : apply(apply(apply(w,b),X0),X0) = apply(X0,apply(m,X0))
| ~ spl0_2
| ~ spl0_10 ),
inference(superposition,[],[f100,f11]) ).
fof(f1308,plain,
( ~ spl0_36
| ~ spl0_1
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1092,f1014,f6,f1305]) ).
fof(f1305,plain,
( spl0_36
<=> apply(apply(w,w),f(apply(w,m))) = apply(f(apply(w,m)),apply(apply(w,w),f(apply(w,m)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f1014,plain,
( spl0_29
<=> ! [X0] : apply(apply(w,w),X0) = apply(apply(w,m),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f1092,plain,
( apply(apply(w,w),f(apply(w,m))) != apply(f(apply(w,m)),apply(apply(w,w),f(apply(w,m))))
| ~ spl0_1
| ~ spl0_29 ),
inference(superposition,[],[f7,f1015]) ).
fof(f1015,plain,
( ! [X0] : apply(apply(w,w),X0) = apply(apply(w,m),X0)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f1303,plain,
( spl0_35
| ~ spl0_5
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f440,f407,f36,f1301]) ).
fof(f1301,plain,
( spl0_35
<=> ! [X0,X1] : apply(apply(X0,apply(apply(b,b),X0)),apply(X1,f(apply(apply(m,apply(apply(b,b),X0)),X1)))) != apply(f(apply(apply(m,apply(apply(b,b),X0)),X1)),apply(apply(X0,apply(apply(b,b),X0)),apply(X1,f(apply(apply(m,apply(apply(b,b),X0)),X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f440,plain,
( ! [X0,X1] : apply(apply(X0,apply(apply(b,b),X0)),apply(X1,f(apply(apply(m,apply(apply(b,b),X0)),X1)))) != apply(f(apply(apply(m,apply(apply(b,b),X0)),X1)),apply(apply(X0,apply(apply(b,b),X0)),apply(X1,f(apply(apply(m,apply(apply(b,b),X0)),X1)))))
| ~ spl0_5
| ~ spl0_15 ),
inference(superposition,[],[f37,f408]) ).
fof(f1186,plain,
( spl0_34
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f392,f242,f36,f24,f1184]) ).
fof(f1184,plain,
( spl0_34
<=> ! [X0,X1] : apply(X0,apply(apply(b,X0),apply(X1,f(apply(apply(m,apply(b,apply(b,X0))),X1))))) != apply(f(apply(apply(m,apply(b,apply(b,X0))),X1)),apply(X0,apply(apply(b,X0),apply(X1,f(apply(apply(m,apply(b,apply(b,X0))),X1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f392,plain,
( ! [X0,X1] : apply(X0,apply(apply(b,X0),apply(X1,f(apply(apply(m,apply(b,apply(b,X0))),X1))))) != apply(f(apply(apply(m,apply(b,apply(b,X0))),X1)),apply(X0,apply(apply(b,X0),apply(X1,f(apply(apply(m,apply(b,apply(b,X0))),X1))))))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14 ),
inference(forward_demodulation,[],[f364,f25]) ).
fof(f364,plain,
( ! [X0,X1] : apply(X0,apply(apply(apply(b,apply(b,X0)),X1),f(apply(apply(m,apply(b,apply(b,X0))),X1)))) != apply(f(apply(apply(m,apply(b,apply(b,X0))),X1)),apply(X0,apply(apply(apply(b,apply(b,X0)),X1),f(apply(apply(m,apply(b,apply(b,X0))),X1)))))
| ~ spl0_5
| ~ spl0_14 ),
inference(superposition,[],[f37,f243]) ).
fof(f1182,plain,
( spl0_33
| ~ spl0_5
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f385,f242,f36,f1180]) ).
fof(f1180,plain,
( spl0_33
<=> ! [X0,X1] : apply(X1,apply(X0,apply(apply(b,X0),f(apply(apply(b,X1),apply(m,apply(b,X0))))))) != apply(f(apply(apply(b,X1),apply(m,apply(b,X0)))),apply(X1,apply(X0,apply(apply(b,X0),f(apply(apply(b,X1),apply(m,apply(b,X0)))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f385,plain,
( ! [X0,X1] : apply(X1,apply(X0,apply(apply(b,X0),f(apply(apply(b,X1),apply(m,apply(b,X0))))))) != apply(f(apply(apply(b,X1),apply(m,apply(b,X0)))),apply(X1,apply(X0,apply(apply(b,X0),f(apply(apply(b,X1),apply(m,apply(b,X0))))))))
| ~ spl0_5
| ~ spl0_14 ),
inference(superposition,[],[f37,f243]) ).
fof(f1178,plain,
( spl0_32
| ~ spl0_5
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f380,f242,f36,f1176]) ).
fof(f1176,plain,
( spl0_32
<=> ! [X0,X1] : apply(X0,apply(apply(b,X0),apply(X1,f(apply(apply(b,apply(m,apply(b,X0))),X1))))) != apply(f(apply(apply(b,apply(m,apply(b,X0))),X1)),apply(X0,apply(apply(b,X0),apply(X1,f(apply(apply(b,apply(m,apply(b,X0))),X1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f380,plain,
( ! [X0,X1] : apply(X0,apply(apply(b,X0),apply(X1,f(apply(apply(b,apply(m,apply(b,X0))),X1))))) != apply(f(apply(apply(b,apply(m,apply(b,X0))),X1)),apply(X0,apply(apply(b,X0),apply(X1,f(apply(apply(b,apply(m,apply(b,X0))),X1))))))
| ~ spl0_5
| ~ spl0_14 ),
inference(superposition,[],[f37,f243]) ).
fof(f1024,plain,
( spl0_31
| ~ spl0_2
| ~ spl0_3
| ~ spl0_11
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f604,f572,f103,f14,f10,f1022]) ).
fof(f1022,plain,
( spl0_31
<=> ! [X0] : apply(apply(apply(w,b),apply(m,X0)),f(apply(apply(w,b),apply(X0,X0)))) != apply(f(apply(apply(w,b),apply(X0,X0))),apply(apply(apply(w,b),apply(m,X0)),f(apply(apply(w,b),apply(X0,X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f572,plain,
( spl0_18
<=> ! [X0] : apply(apply(apply(w,b),X0),f(apply(apply(b,X0),X0))) != apply(f(apply(apply(b,X0),X0)),apply(apply(apply(w,b),X0),f(apply(apply(b,X0),X0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f604,plain,
( ! [X0] : apply(apply(apply(w,b),apply(m,X0)),f(apply(apply(w,b),apply(X0,X0)))) != apply(f(apply(apply(w,b),apply(X0,X0))),apply(apply(apply(w,b),apply(m,X0)),f(apply(apply(w,b),apply(X0,X0)))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f603,f156]) ).
fof(f603,plain,
( ! [X0] : apply(apply(apply(w,apply(b,apply(w,b))),X0),f(apply(apply(w,b),apply(X0,X0)))) != apply(f(apply(apply(w,b),apply(X0,X0))),apply(apply(apply(w,apply(b,apply(w,b))),X0),f(apply(apply(w,b),apply(X0,X0)))))
| ~ spl0_3
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f593,f15]) ).
fof(f593,plain,
( ! [X0] : apply(apply(apply(w,apply(b,apply(w,b))),X0),f(apply(apply(b,apply(X0,X0)),apply(X0,X0)))) != apply(f(apply(apply(b,apply(X0,X0)),apply(X0,X0))),apply(apply(apply(w,apply(b,apply(w,b))),X0),f(apply(apply(b,apply(X0,X0)),apply(X0,X0)))))
| ~ spl0_11
| ~ spl0_18 ),
inference(superposition,[],[f573,f104]) ).
fof(f573,plain,
( ! [X0] : apply(apply(apply(w,b),X0),f(apply(apply(b,X0),X0))) != apply(f(apply(apply(b,X0),X0)),apply(apply(apply(w,b),X0),f(apply(apply(b,X0),X0))))
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f572]) ).
fof(f1020,plain,
( spl0_30
| ~ spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f76,f48,f14,f1018]) ).
fof(f1018,plain,
( spl0_30
<=> ! [X0] : apply(apply(w,X0),X0) = apply(apply(w,m),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f76,plain,
( ! [X0] : apply(apply(w,X0),X0) = apply(apply(w,m),X0)
| ~ spl0_3
| ~ spl0_7 ),
inference(superposition,[],[f49,f15]) ).
fof(f1016,plain,
( spl0_29
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f75,f48,f44,f1014]) ).
fof(f1012,plain,
( spl0_28
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f61,f44,f10,f1010]) ).
fof(f1010,plain,
( spl0_28
<=> ! [X0] : apply(apply(w,w),X0) = apply(apply(m,X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f61,plain,
( ! [X0] : apply(apply(w,w),X0) = apply(apply(m,X0),X0)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f45,f11]) ).
fof(f721,plain,
( spl0_27
| ~ spl0_5
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f533,f411,f36,f719]) ).
fof(f719,plain,
( spl0_27
<=> ! [X0,X1] : apply(apply(X0,X1),apply(X1,f(apply(apply(w,apply(apply(b,b),X0)),X1)))) != apply(f(apply(apply(w,apply(apply(b,b),X0)),X1)),apply(apply(X0,X1),apply(X1,f(apply(apply(w,apply(apply(b,b),X0)),X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f533,plain,
( ! [X0,X1] : apply(apply(X0,X1),apply(X1,f(apply(apply(w,apply(apply(b,b),X0)),X1)))) != apply(f(apply(apply(w,apply(apply(b,b),X0)),X1)),apply(apply(X0,X1),apply(X1,f(apply(apply(w,apply(apply(b,b),X0)),X1)))))
| ~ spl0_5
| ~ spl0_16 ),
inference(superposition,[],[f37,f412]) ).
fof(f717,plain,
( spl0_26
| ~ spl0_2
| ~ spl0_8
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f234,f103,f52,f10,f715]) ).
fof(f715,plain,
( spl0_26
<=> ! [X0] : apply(apply(X0,X0),apply(apply(X0,X0),f(apply(apply(w,b),apply(m,X0))))) != apply(f(apply(apply(w,b),apply(m,X0))),apply(apply(X0,X0),apply(apply(X0,X0),f(apply(apply(w,b),apply(m,X0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f52,plain,
( spl0_8
<=> ! [X0] : apply(X0,apply(X0,f(apply(apply(w,b),X0)))) != apply(f(apply(apply(w,b),X0)),apply(X0,apply(X0,f(apply(apply(w,b),X0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f234,plain,
( ! [X0] : apply(apply(X0,X0),apply(apply(X0,X0),f(apply(apply(w,b),apply(m,X0))))) != apply(f(apply(apply(w,b),apply(m,X0))),apply(apply(X0,X0),apply(apply(X0,X0),f(apply(apply(w,b),apply(m,X0))))))
| ~ spl0_2
| ~ spl0_8
| ~ spl0_11 ),
inference(forward_demodulation,[],[f227,f156]) ).
fof(f227,plain,
( ! [X0] : apply(apply(X0,X0),apply(apply(X0,X0),f(apply(apply(w,apply(b,apply(w,b))),X0)))) != apply(f(apply(apply(w,apply(b,apply(w,b))),X0)),apply(apply(X0,X0),apply(apply(X0,X0),f(apply(apply(w,apply(b,apply(w,b))),X0)))))
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f53,f104]) ).
fof(f53,plain,
( ! [X0] : apply(X0,apply(X0,f(apply(apply(w,b),X0)))) != apply(f(apply(apply(w,b),X0)),apply(X0,apply(X0,f(apply(apply(w,b),X0)))))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f713,plain,
( spl0_25
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f144,f99,f36,f24,f711]) ).
fof(f711,plain,
( spl0_25
<=> ! [X0,X1] : apply(X0,apply(X0,apply(X1,f(apply(apply(apply(w,b),apply(b,X0)),X1))))) != apply(f(apply(apply(apply(w,b),apply(b,X0)),X1)),apply(X0,apply(X0,apply(X1,f(apply(apply(apply(w,b),apply(b,X0)),X1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f144,plain,
( ! [X0,X1] : apply(X0,apply(X0,apply(X1,f(apply(apply(apply(w,b),apply(b,X0)),X1))))) != apply(f(apply(apply(apply(w,b),apply(b,X0)),X1)),apply(X0,apply(X0,apply(X1,f(apply(apply(apply(w,b),apply(b,X0)),X1))))))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f126,f25]) ).
fof(f126,plain,
( ! [X0,X1] : apply(X0,apply(apply(apply(b,X0),X1),f(apply(apply(apply(w,b),apply(b,X0)),X1)))) != apply(f(apply(apply(apply(w,b),apply(b,X0)),X1)),apply(X0,apply(apply(apply(b,X0),X1),f(apply(apply(apply(w,b),apply(b,X0)),X1)))))
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f37,f100]) ).
fof(f709,plain,
( spl0_24
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f138,f99,f36,f707]) ).
fof(f707,plain,
( spl0_24
<=> ! [X0,X1] : apply(X1,apply(X0,apply(X0,f(apply(apply(b,X1),apply(apply(w,b),X0)))))) != apply(f(apply(apply(b,X1),apply(apply(w,b),X0))),apply(X1,apply(X0,apply(X0,f(apply(apply(b,X1),apply(apply(w,b),X0))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f138,plain,
( ! [X0,X1] : apply(X1,apply(X0,apply(X0,f(apply(apply(b,X1),apply(apply(w,b),X0)))))) != apply(f(apply(apply(b,X1),apply(apply(w,b),X0))),apply(X1,apply(X0,apply(X0,f(apply(apply(b,X1),apply(apply(w,b),X0)))))))
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f37,f100]) ).
fof(f705,plain,
( spl0_23
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f136,f99,f36,f703]) ).
fof(f703,plain,
( spl0_23
<=> ! [X0,X1] : apply(X0,apply(X0,apply(X1,f(apply(apply(b,apply(apply(w,b),X0)),X1))))) != apply(f(apply(apply(b,apply(apply(w,b),X0)),X1)),apply(X0,apply(X0,apply(X1,f(apply(apply(b,apply(apply(w,b),X0)),X1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f136,plain,
( ! [X0,X1] : apply(X0,apply(X0,apply(X1,f(apply(apply(b,apply(apply(w,b),X0)),X1))))) != apply(f(apply(apply(b,apply(apply(w,b),X0)),X1)),apply(X0,apply(X0,apply(X1,f(apply(apply(b,apply(apply(w,b),X0)),X1))))))
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f37,f100]) ).
fof(f701,plain,
( spl0_22
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f42,f36,f24,f699]) ).
fof(f42,plain,
( ! [X2,X0,X1] : apply(X0,apply(X1,apply(X2,f(apply(apply(b,apply(apply(b,X0),X1)),X2))))) != apply(f(apply(apply(b,apply(apply(b,X0),X1)),X2)),apply(X0,apply(X1,apply(X2,f(apply(apply(b,apply(apply(b,X0),X1)),X2))))))
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f37,f25]) ).
fof(f697,plain,
( spl0_21
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f41,f36,f24,f695]) ).
fof(f41,plain,
( ! [X2,X0,X1] : apply(X2,apply(X0,apply(X1,f(apply(apply(b,X2),apply(apply(b,X0),X1)))))) != apply(f(apply(apply(b,X2),apply(apply(b,X0),X1))),apply(X2,apply(X0,apply(X1,f(apply(apply(b,X2),apply(apply(b,X0),X1)))))))
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f37,f25]) ).
fof(f620,plain,
( spl0_20
| ~ spl0_2
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f209,f103,f36,f10,f618]) ).
fof(f618,plain,
( spl0_20
<=> ! [X0,X1] : apply(X0,apply(apply(X1,X1),f(apply(apply(b,X0),apply(m,X1))))) != apply(f(apply(apply(b,X0),apply(m,X1))),apply(X0,apply(apply(X1,X1),f(apply(apply(b,X0),apply(m,X1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f209,plain,
( ! [X0,X1] : apply(X0,apply(apply(X1,X1),f(apply(apply(b,X0),apply(m,X1))))) != apply(f(apply(apply(b,X0),apply(m,X1))),apply(X0,apply(apply(X1,X1),f(apply(apply(b,X0),apply(m,X1))))))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[],[f181,f156]) ).
fof(f181,plain,
( ! [X0,X1] : apply(X0,apply(apply(X1,X1),f(apply(apply(w,apply(b,apply(b,X0))),X1)))) != apply(f(apply(apply(w,apply(b,apply(b,X0))),X1)),apply(X0,apply(apply(X1,X1),f(apply(apply(w,apply(b,apply(b,X0))),X1)))))
| ~ spl0_5
| ~ spl0_11 ),
inference(superposition,[],[f37,f104]) ).
fof(f616,plain,
( spl0_19
| ~ spl0_2
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f207,f103,f36,f10,f614]) ).
fof(f614,plain,
( spl0_19
<=> ! [X0,X1] : apply(apply(X0,X0),apply(X1,f(apply(apply(b,apply(m,X0)),X1)))) != apply(f(apply(apply(b,apply(m,X0)),X1)),apply(apply(X0,X0),apply(X1,f(apply(apply(b,apply(m,X0)),X1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f207,plain,
( ! [X0,X1] : apply(apply(X0,X0),apply(X1,f(apply(apply(b,apply(m,X0)),X1)))) != apply(f(apply(apply(b,apply(m,X0)),X1)),apply(apply(X0,X0),apply(X1,f(apply(apply(b,apply(m,X0)),X1)))))
| ~ spl0_2
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_demodulation,[],[f178,f156]) ).
fof(f178,plain,
( ! [X0,X1] : apply(apply(X0,X0),apply(X1,f(apply(apply(apply(w,apply(b,b)),X0),X1)))) != apply(f(apply(apply(apply(w,apply(b,b)),X0),X1)),apply(apply(X0,X0),apply(X1,f(apply(apply(apply(w,apply(b,b)),X0),X1)))))
| ~ spl0_5
| ~ spl0_11 ),
inference(superposition,[],[f37,f104]) ).
fof(f574,plain,
( spl0_18
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f124,f99,f36,f572]) ).
fof(f124,plain,
( ! [X0] : apply(apply(apply(w,b),X0),f(apply(apply(b,X0),X0))) != apply(f(apply(apply(b,X0),X0)),apply(apply(apply(w,b),X0),f(apply(apply(b,X0),X0))))
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f37,f100]) ).
fof(f570,plain,
( spl0_17
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f39,f36,f10,f568]) ).
fof(f568,plain,
( spl0_17
<=> ! [X0] : apply(X0,apply(apply(b,X0),f(apply(m,apply(b,X0))))) != apply(f(apply(m,apply(b,X0))),apply(X0,apply(apply(b,X0),f(apply(m,apply(b,X0)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f39,plain,
( ! [X0] : apply(X0,apply(apply(b,X0),f(apply(m,apply(b,X0))))) != apply(f(apply(m,apply(b,X0))),apply(X0,apply(apply(b,X0),f(apply(m,apply(b,X0))))))
| ~ spl0_2
| ~ spl0_5 ),
inference(superposition,[],[f37,f11]) ).
fof(f413,plain,
( spl0_16
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f34,f24,f14,f411]) ).
fof(f34,plain,
( ! [X2,X0,X1] : apply(apply(w,apply(apply(b,X0),X1)),X2) = apply(apply(X0,apply(X1,X2)),X2)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f15,f25]) ).
fof(f409,plain,
( spl0_15
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f29,f24,f10,f407]) ).
fof(f29,plain,
( ! [X0,X1] : apply(m,apply(apply(b,X0),X1)) = apply(X0,apply(X1,apply(apply(b,X0),X1)))
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f25,f11]) ).
fof(f244,plain,
( spl0_14
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f27,f24,f10,f242]) ).
fof(f27,plain,
( ! [X0,X1] : apply(X0,apply(apply(b,X0),X1)) = apply(apply(m,apply(b,X0)),X1)
| ~ spl0_2
| ~ spl0_4 ),
inference(superposition,[],[f25,f11]) ).
fof(f224,plain,
( spl0_13
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f21,f14,f222]) ).
fof(f21,plain,
( ! [X0,X1] : apply(apply(apply(w,X0),X1),X1) = apply(apply(w,apply(X0,X1)),X1)
| ~ spl0_3 ),
inference(superposition,[],[f15,f15]) ).
fof(f220,plain,
( spl0_12
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f20,f14,f218]) ).
fof(f105,plain,
( spl0_11
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f30,f24,f14,f103]) ).
fof(f30,plain,
( ! [X0,X1] : apply(apply(w,apply(b,X0)),X1) = apply(X0,apply(X1,X1))
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f25,f15]) ).
fof(f101,plain,
( spl0_10
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f28,f24,f14,f99]) ).
fof(f28,plain,
( ! [X0,X1] : apply(X0,apply(X0,X1)) = apply(apply(apply(w,b),X0),X1)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f25,f15]) ).
fof(f58,plain,
( spl0_9
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f19,f14,f10,f56]) ).
fof(f19,plain,
( ! [X0] : apply(apply(w,X0),X0) = apply(apply(m,X0),X0)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f15,f11]) ).
fof(f54,plain,
( spl0_8
| ~ spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f40,f36,f14,f52]) ).
fof(f40,plain,
( ! [X0] : apply(X0,apply(X0,f(apply(apply(w,b),X0)))) != apply(f(apply(apply(w,b),X0)),apply(X0,apply(X0,f(apply(apply(w,b),X0)))))
| ~ spl0_3
| ~ spl0_5 ),
inference(superposition,[],[f37,f15]) ).
fof(f50,plain,
( spl0_7
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f18,f14,f10,f48]) ).
fof(f18,plain,
( ! [X0] : apply(apply(X0,X0),X0) = apply(apply(w,m),X0)
| ~ spl0_2
| ~ spl0_3 ),
inference(superposition,[],[f15,f11]) ).
fof(f46,plain,
( spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f17,f14,f44]) ).
fof(f17,plain,
( ! [X0] : apply(apply(w,w),X0) = apply(apply(X0,X0),X0)
| ~ spl0_3 ),
inference(superposition,[],[f15,f15]) ).
fof(f38,plain,
( spl0_5
| ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f32,f24,f6,f36]) ).
fof(f32,plain,
( ! [X0,X1] : apply(X0,apply(X1,f(apply(apply(b,X0),X1)))) != apply(f(apply(apply(b,X0),X1)),apply(X0,apply(X1,f(apply(apply(b,X0),X1)))))
| ~ spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f7,f25]) ).
fof(f26,plain,
spl0_4,
inference(avatar_split_clause,[],[f1,f24]) ).
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).
fof(f16,plain,
spl0_3,
inference(avatar_split_clause,[],[f2,f14]) ).
fof(f2,axiom,
! [X0,X1] : apply(apply(w,X0),X1) = apply(apply(X0,X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_definition) ).
fof(f12,plain,
spl0_2,
inference(avatar_split_clause,[],[f3,f10]) ).
fof(f3,axiom,
! [X0] : apply(m,X0) = apply(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_definition) ).
fof(f8,plain,
spl0_1,
inference(avatar_split_clause,[],[f4,f6]) ).
fof(f4,axiom,
! [X1] : apply(X1,f(X1)) != apply(f(X1),apply(X1,f(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_strong_fixed_point) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL049-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 18:31:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (12824)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (12827)WARNING: value z3 for option sas not known
% 0.14/0.37 % (12827)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)
% 0.14/0.37 % (12825)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (12826)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (12828)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (12829)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)
% 0.14/0.37 % (12830)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)
% 0.14/0.37 % (12831)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 TRYING [3]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [4]
% 0.21/0.41 TRYING [5]
% 0.21/0.42 TRYING [5]
% 1.32/0.53 % (12829)First to succeed.
% 1.32/0.54 % (12829)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12824"
% 1.32/0.54 % (12829)Refutation found. Thanks to Tanya!
% 1.32/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.32/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.54 % (12829)------------------------------
% 1.32/0.54 % (12829)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.32/0.54 % (12829)Termination reason: Refutation
% 1.32/0.54
% 1.32/0.54 % (12829)Memory used [KB]: 4012
% 1.32/0.54 % (12829)Time elapsed: 0.170 s
% 1.32/0.54 % (12829)Instructions burned: 380 (million)
% 1.32/0.54 % (12824)Success in time 0.17 s
%------------------------------------------------------------------------------