TSTP Solution File: RNG021-6 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG021-6 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n028.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 : Tue May 21 02:40:32 EDT 2024
% Result : Unsatisfiable 0.23s 0.48s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 58
% Syntax : Number of formulae : 178 ( 31 unt; 0 def)
% Number of atoms : 446 ( 132 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 495 ( 227 ~; 225 |; 0 &)
% ( 43 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 45 ( 43 usr; 44 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 234 ( 234 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1892,plain,
$false,
inference(avatar_sat_refutation,[],[f21,f25,f29,f33,f37,f41,f45,f55,f72,f76,f80,f84,f120,f137,f141,f192,f196,f235,f239,f297,f301,f305,f309,f535,f539,f543,f623,f627,f718,f722,f766,f770,f774,f778,f1245,f1249,f1253,f1257,f1711,f1715,f1876,f1881,f1886,f1891]) ).
fof(f1891,plain,
( ~ spl0_8
| ~ spl0_15
| ~ spl0_17
| ~ spl0_39
| spl0_43 ),
inference(avatar_contradiction_clause,[],[f1890]) ).
fof(f1890,plain,
( $false
| ~ spl0_8
| ~ spl0_15
| ~ spl0_17
| ~ spl0_39
| spl0_43 ),
inference(trivial_inequality_removal,[],[f1889]) ).
fof(f1889,plain,
( add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y))))
| ~ spl0_8
| ~ spl0_15
| ~ spl0_17
| ~ spl0_39
| spl0_43 ),
inference(forward_demodulation,[],[f1888,f140]) ).
fof(f140,plain,
( ! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2))
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f139,plain,
( spl0_15
<=> ! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1888,plain,
( add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(multiply(multiply(add(u,v),x),y),additive_inverse(add(multiply(u,multiply(x,y)),multiply(v,multiply(x,y)))))
| ~ spl0_8
| ~ spl0_17
| ~ spl0_39
| spl0_43 ),
inference(forward_demodulation,[],[f1887,f54]) ).
fof(f54,plain,
( ! [X0,X1] : add(X0,X1) = add(X1,X0)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl0_8
<=> ! [X0,X1] : add(X0,X1) = add(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1887,plain,
( add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(multiply(multiply(add(u,v),x),y),additive_inverse(add(multiply(v,multiply(x,y)),multiply(u,multiply(x,y)))))
| ~ spl0_17
| ~ spl0_39
| spl0_43 ),
inference(forward_demodulation,[],[f1885,f1751]) ).
fof(f1751,plain,
( ! [X0,X1] : additive_inverse(add(X1,X0)) = add(additive_inverse(X0),additive_inverse(X1))
| ~ spl0_17
| ~ spl0_39 ),
inference(superposition,[],[f195,f1710]) ).
fof(f1710,plain,
( ! [X0,X1] : additive_inverse(X0) = add(X1,additive_inverse(add(X0,X1)))
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f1709]) ).
fof(f1709,plain,
( spl0_39
<=> ! [X0,X1] : additive_inverse(X0) = add(X1,additive_inverse(add(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f195,plain,
( ! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f194,plain,
( spl0_17
<=> ! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1885,plain,
( add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(multiply(multiply(add(u,v),x),y),add(additive_inverse(multiply(u,multiply(x,y))),additive_inverse(multiply(v,multiply(x,y)))))
| spl0_43 ),
inference(avatar_component_clause,[],[f1883]) ).
fof(f1883,plain,
( spl0_43
<=> add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) = add(multiply(multiply(add(u,v),x),y),add(additive_inverse(multiply(u,multiply(x,y))),additive_inverse(multiply(v,multiply(x,y))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f1886,plain,
( ~ spl0_43
| ~ spl0_15
| spl0_20
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f1180,f776,f294,f139,f1883]) ).
fof(f294,plain,
( spl0_20
<=> add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) = add(multiply(multiply(u,x),y),add(multiply(multiply(v,x),y),add(additive_inverse(multiply(u,multiply(x,y))),additive_inverse(multiply(v,multiply(x,y)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f776,plain,
( spl0_34
<=> ! [X0,X3,X2,X1] : add(multiply(X0,X1),add(multiply(X2,X1),X3)) = add(multiply(add(X0,X2),X1),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f1180,plain,
( add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(multiply(multiply(add(u,v),x),y),add(additive_inverse(multiply(u,multiply(x,y))),additive_inverse(multiply(v,multiply(x,y)))))
| ~ spl0_15
| spl0_20
| ~ spl0_34 ),
inference(forward_demodulation,[],[f1141,f140]) ).
fof(f1141,plain,
( add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(multiply(add(multiply(u,x),multiply(v,x)),y),add(additive_inverse(multiply(u,multiply(x,y))),additive_inverse(multiply(v,multiply(x,y)))))
| spl0_20
| ~ spl0_34 ),
inference(superposition,[],[f296,f777]) ).
fof(f777,plain,
( ! [X2,X3,X0,X1] : add(multiply(X0,X1),add(multiply(X2,X1),X3)) = add(multiply(add(X0,X2),X1),X3)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f776]) ).
fof(f296,plain,
( add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(multiply(multiply(u,x),y),add(multiply(multiply(v,x),y),add(additive_inverse(multiply(u,multiply(x,y))),additive_inverse(multiply(v,multiply(x,y))))))
| spl0_20 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f1881,plain,
( ~ spl0_42
| ~ spl0_8
| spl0_9
| ~ spl0_15
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f466,f303,f139,f69,f53,f1878]) ).
fof(f1878,plain,
( spl0_42
<=> add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) = add(additive_inverse(multiply(v,multiply(x,y))),add(additive_inverse(multiply(u,multiply(x,y))),multiply(multiply(add(u,v),x),y))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f69,plain,
( spl0_9
<=> add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) = add(add(multiply(multiply(u,x),y),additive_inverse(multiply(u,multiply(x,y)))),add(multiply(multiply(v,x),y),additive_inverse(multiply(v,multiply(x,y))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f303,plain,
( spl0_22
<=> ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X2,add(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f466,plain,
( add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(additive_inverse(multiply(v,multiply(x,y))),add(additive_inverse(multiply(u,multiply(x,y))),multiply(multiply(add(u,v),x),y)))
| ~ spl0_8
| spl0_9
| ~ spl0_15
| ~ spl0_22 ),
inference(forward_demodulation,[],[f465,f140]) ).
fof(f465,plain,
( add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(additive_inverse(multiply(v,multiply(x,y))),add(additive_inverse(multiply(u,multiply(x,y))),multiply(add(multiply(u,x),multiply(v,x)),y)))
| ~ spl0_8
| spl0_9
| ~ spl0_15
| ~ spl0_22 ),
inference(forward_demodulation,[],[f464,f54]) ).
fof(f464,plain,
( add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(additive_inverse(multiply(v,multiply(x,y))),add(additive_inverse(multiply(u,multiply(x,y))),multiply(add(multiply(v,x),multiply(u,x)),y)))
| ~ spl0_8
| spl0_9
| ~ spl0_15
| ~ spl0_22 ),
inference(forward_demodulation,[],[f463,f369]) ).
fof(f369,plain,
( ! [X2,X3,X0,X1] : add(X3,multiply(add(X0,X2),X1)) = add(multiply(X2,X1),add(X3,multiply(X0,X1)))
| ~ spl0_15
| ~ spl0_22 ),
inference(superposition,[],[f304,f140]) ).
fof(f304,plain,
( ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X2,add(X0,X1))
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f463,plain,
( add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(additive_inverse(multiply(v,multiply(x,y))),add(multiply(multiply(u,x),y),add(additive_inverse(multiply(u,multiply(x,y))),multiply(multiply(v,x),y))))
| ~ spl0_8
| spl0_9
| ~ spl0_22 ),
inference(forward_demodulation,[],[f462,f304]) ).
fof(f462,plain,
( add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(additive_inverse(multiply(v,multiply(x,y))),add(multiply(multiply(v,x),y),add(multiply(multiply(u,x),y),additive_inverse(multiply(u,multiply(x,y))))))
| ~ spl0_8
| spl0_9
| ~ spl0_22 ),
inference(forward_demodulation,[],[f413,f54]) ).
fof(f413,plain,
( add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(additive_inverse(multiply(v,multiply(x,y))),add(add(multiply(multiply(u,x),y),additive_inverse(multiply(u,multiply(x,y)))),multiply(multiply(v,x),y)))
| spl0_9
| ~ spl0_22 ),
inference(superposition,[],[f71,f304]) ).
fof(f71,plain,
( add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(add(multiply(multiply(u,x),y),additive_inverse(multiply(u,multiply(x,y)))),add(multiply(multiply(v,x),y),additive_inverse(multiply(v,multiply(x,y)))))
| spl0_9 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f1876,plain,
( ~ spl0_41
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f352,f299,f139,f74,f69,f53,f1873]) ).
fof(f1873,plain,
( spl0_41
<=> add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) = add(additive_inverse(multiply(u,multiply(x,y))),add(additive_inverse(multiply(v,multiply(x,y))),multiply(multiply(add(u,v),x),y))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f74,plain,
( spl0_10
<=> ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f299,plain,
( spl0_21
<=> ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X1,X0),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f352,plain,
( add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(additive_inverse(multiply(u,multiply(x,y))),add(additive_inverse(multiply(v,multiply(x,y))),multiply(multiply(add(u,v),x),y)))
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f351,f140]) ).
fof(f351,plain,
( add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(additive_inverse(multiply(u,multiply(x,y))),add(additive_inverse(multiply(v,multiply(x,y))),multiply(add(multiply(u,x),multiply(v,x)),y)))
| ~ spl0_8
| spl0_9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f350,f54]) ).
fof(f350,plain,
( add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(additive_inverse(multiply(u,multiply(x,y))),add(multiply(add(multiply(u,x),multiply(v,x)),y),additive_inverse(multiply(v,multiply(x,y)))))
| spl0_9
| ~ spl0_10
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f330,f177]) ).
fof(f177,plain,
( ! [X2,X3,X0,X1] : add(multiply(X0,X1),add(multiply(X2,X1),X3)) = add(multiply(add(X0,X2),X1),X3)
| ~ spl0_10
| ~ spl0_15 ),
inference(superposition,[],[f75,f140]) ).
fof(f75,plain,
( ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f330,plain,
( add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(additive_inverse(multiply(u,multiply(x,y))),add(multiply(multiply(u,x),y),add(multiply(multiply(v,x),y),additive_inverse(multiply(v,multiply(x,y))))))
| spl0_9
| ~ spl0_21 ),
inference(superposition,[],[f71,f300]) ).
fof(f300,plain,
( ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X1,X0),X2)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f1715,plain,
( spl0_40
| ~ spl0_1
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f389,f303,f19,f1713]) ).
fof(f1713,plain,
( spl0_40
<=> ! [X0,X1] : add(X1,X0) = add(additive_identity,add(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f19,plain,
( spl0_1
<=> ! [X0] : add(additive_identity,X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f389,plain,
( ! [X0,X1] : add(X1,X0) = add(additive_identity,add(X0,X1))
| ~ spl0_1
| ~ spl0_22 ),
inference(superposition,[],[f304,f20]) ).
fof(f20,plain,
( ! [X0] : add(additive_identity,X0) = X0
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f1711,plain,
( spl0_39
| ~ spl0_2
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f284,f237,f194,f23,f1709]) ).
fof(f23,plain,
( spl0_2
<=> ! [X0] : add(X0,additive_identity) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f237,plain,
( spl0_19
<=> ! [X0,X1] : additive_identity = add(X0,add(X1,additive_inverse(add(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f284,plain,
( ! [X0,X1] : additive_inverse(X0) = add(X1,additive_inverse(add(X0,X1)))
| ~ spl0_2
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f259,f24]) ).
fof(f24,plain,
( ! [X0] : add(X0,additive_identity) = X0
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f259,plain,
( ! [X0,X1] : add(X1,additive_inverse(add(X0,X1))) = add(additive_inverse(X0),additive_identity)
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f195,f238]) ).
fof(f238,plain,
( ! [X0,X1] : additive_identity = add(X0,add(X1,additive_inverse(add(X0,X1))))
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f1257,plain,
( spl0_38
| ~ spl0_12
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f159,f135,f82,f1255]) ).
fof(f1255,plain,
( spl0_38
<=> ! [X2,X0,X1] : add(multiply(X0,multiply(X0,X1)),multiply(X0,multiply(X0,X2))) = multiply(X0,multiply(X0,add(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f82,plain,
( spl0_12
<=> ! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f135,plain,
( spl0_14
<=> ! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f159,plain,
( ! [X2,X0,X1] : add(multiply(X0,multiply(X0,X1)),multiply(X0,multiply(X0,X2))) = multiply(X0,multiply(X0,add(X1,X2)))
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f158,f83]) ).
fof(f83,plain,
( ! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f158,plain,
( ! [X2,X0,X1] : multiply(multiply(X0,X0),add(X1,X2)) = add(multiply(X0,multiply(X0,X1)),multiply(X0,multiply(X0,X2)))
| ~ spl0_12
| ~ spl0_14 ),
inference(forward_demodulation,[],[f145,f83]) ).
fof(f145,plain,
( ! [X2,X0,X1] : multiply(multiply(X0,X0),add(X1,X2)) = add(multiply(X0,multiply(X0,X1)),multiply(multiply(X0,X0),X2))
| ~ spl0_12
| ~ spl0_14 ),
inference(superposition,[],[f136,f83]) ).
fof(f136,plain,
( ! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f1253,plain,
( spl0_37
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f148,f135,f78,f1251]) ).
fof(f1251,plain,
( spl0_37
<=> ! [X2,X0,X1] : multiply(multiply(X0,X1),add(X2,X1)) = add(multiply(multiply(X0,X1),X2),multiply(X0,multiply(X1,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f78,plain,
( spl0_11
<=> ! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,multiply(X1,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f148,plain,
( ! [X2,X0,X1] : multiply(multiply(X0,X1),add(X2,X1)) = add(multiply(multiply(X0,X1),X2),multiply(X0,multiply(X1,X1)))
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f136,f79]) ).
fof(f79,plain,
( ! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,multiply(X1,X1))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f1249,plain,
( spl0_36
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f144,f135,f78,f1247]) ).
fof(f1247,plain,
( spl0_36
<=> ! [X2,X0,X1] : multiply(multiply(X0,X1),add(X1,X2)) = add(multiply(X0,multiply(X1,X1)),multiply(multiply(X0,X1),X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f144,plain,
( ! [X2,X0,X1] : multiply(multiply(X0,X1),add(X1,X2)) = add(multiply(X0,multiply(X1,X1)),multiply(multiply(X0,X1),X2))
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f136,f79]) ).
fof(f1245,plain,
( spl0_35
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f130,f82,f1243]) ).
fof(f1243,plain,
( spl0_35
<=> ! [X0,X1] : multiply(multiply(X0,multiply(X0,multiply(X0,X0))),X1) = multiply(X0,multiply(X0,multiply(X0,multiply(X0,X1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f130,plain,
( ! [X0,X1] : multiply(multiply(X0,multiply(X0,multiply(X0,X0))),X1) = multiply(X0,multiply(X0,multiply(X0,multiply(X0,X1))))
| ~ spl0_12 ),
inference(forward_demodulation,[],[f129,f83]) ).
fof(f129,plain,
( ! [X0,X1] : multiply(multiply(X0,multiply(X0,multiply(X0,X0))),X1) = multiply(X0,multiply(X0,multiply(multiply(X0,X0),X1)))
| ~ spl0_12 ),
inference(forward_demodulation,[],[f123,f83]) ).
fof(f123,plain,
( ! [X0,X1] : multiply(multiply(X0,X0),multiply(multiply(X0,X0),X1)) = multiply(multiply(X0,multiply(X0,multiply(X0,X0))),X1)
| ~ spl0_12 ),
inference(superposition,[],[f83,f83]) ).
fof(f778,plain,
( spl0_34
| ~ spl0_10
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f177,f139,f74,f776]) ).
fof(f774,plain,
( spl0_33
| ~ spl0_12
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f172,f139,f82,f772]) ).
fof(f772,plain,
( spl0_33
<=> ! [X2,X0,X1] : multiply(add(X2,multiply(X0,X0)),X1) = add(multiply(X2,X1),multiply(X0,multiply(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f172,plain,
( ! [X2,X0,X1] : multiply(add(X2,multiply(X0,X0)),X1) = add(multiply(X2,X1),multiply(X0,multiply(X0,X1)))
| ~ spl0_12
| ~ spl0_15 ),
inference(superposition,[],[f140,f83]) ).
fof(f770,plain,
( spl0_32
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f171,f139,f78,f768]) ).
fof(f768,plain,
( spl0_32
<=> ! [X2,X0,X1] : multiply(add(X2,multiply(X0,X1)),X1) = add(multiply(X2,X1),multiply(X0,multiply(X1,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f171,plain,
( ! [X2,X0,X1] : multiply(add(X2,multiply(X0,X1)),X1) = add(multiply(X2,X1),multiply(X0,multiply(X1,X1)))
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f140,f79]) ).
fof(f766,plain,
( spl0_31
| ~ spl0_12
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f168,f139,f82,f764]) ).
fof(f764,plain,
( spl0_31
<=> ! [X2,X0,X1] : multiply(add(multiply(X0,X0),X2),X1) = add(multiply(X0,multiply(X0,X1)),multiply(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f168,plain,
( ! [X2,X0,X1] : multiply(add(multiply(X0,X0),X2),X1) = add(multiply(X0,multiply(X0,X1)),multiply(X2,X1))
| ~ spl0_12
| ~ spl0_15 ),
inference(superposition,[],[f140,f83]) ).
fof(f722,plain,
( spl0_30
| ~ spl0_11
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f167,f139,f78,f720]) ).
fof(f720,plain,
( spl0_30
<=> ! [X2,X0,X1] : multiply(add(multiply(X0,X1),X2),X1) = add(multiply(X0,multiply(X1,X1)),multiply(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f167,plain,
( ! [X2,X0,X1] : multiply(add(multiply(X0,X1),X2),X1) = add(multiply(X0,multiply(X1,X1)),multiply(X2,X1))
| ~ spl0_11
| ~ spl0_15 ),
inference(superposition,[],[f140,f79]) ).
fof(f718,plain,
( spl0_29
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f152,f135,f74,f716]) ).
fof(f716,plain,
( spl0_29
<=> ! [X0,X3,X2,X1] : add(multiply(X0,X1),add(multiply(X0,X2),X3)) = add(multiply(X0,add(X1,X2)),X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f152,plain,
( ! [X2,X3,X0,X1] : add(multiply(X0,X1),add(multiply(X0,X2),X3)) = add(multiply(X0,add(X1,X2)),X3)
| ~ spl0_10
| ~ spl0_14 ),
inference(superposition,[],[f75,f136]) ).
fof(f627,plain,
( spl0_28
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f133,f82,f78,f625]) ).
fof(f625,plain,
( spl0_28
<=> ! [X0,X1] : multiply(multiply(X0,multiply(X0,X1)),X1) = multiply(X0,multiply(X0,multiply(X1,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f133,plain,
( ! [X0,X1] : multiply(multiply(X0,multiply(X0,X1)),X1) = multiply(X0,multiply(X0,multiply(X1,X1)))
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f126,f83]) ).
fof(f126,plain,
( ! [X0,X1] : multiply(multiply(X0,X0),multiply(X1,X1)) = multiply(multiply(X0,multiply(X0,X1)),X1)
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f79,f83]) ).
fof(f623,plain,
( spl0_27
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f109,f78,f621]) ).
fof(f621,plain,
( spl0_27
<=> ! [X0,X1] : multiply(multiply(X0,X1),multiply(X1,X1)) = multiply(multiply(X0,multiply(X1,X1)),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f109,plain,
( ! [X0,X1] : multiply(multiply(X0,X1),multiply(X1,X1)) = multiply(multiply(X0,multiply(X1,X1)),X1)
| ~ spl0_11 ),
inference(superposition,[],[f79,f79]) ).
fof(f543,plain,
( spl0_26
| ~ spl0_8
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f174,f139,f53,f541]) ).
fof(f541,plain,
( spl0_26
<=> ! [X2,X0,X1] : multiply(add(X0,X2),X1) = add(multiply(X2,X1),multiply(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f174,plain,
( ! [X2,X0,X1] : multiply(add(X0,X2),X1) = add(multiply(X2,X1),multiply(X0,X1))
| ~ spl0_8
| ~ spl0_15 ),
inference(superposition,[],[f140,f54]) ).
fof(f539,plain,
( spl0_25
| ~ spl0_8
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f150,f135,f53,f537]) ).
fof(f537,plain,
( spl0_25
<=> ! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X2),multiply(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f150,plain,
( ! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X2),multiply(X0,X1))
| ~ spl0_8
| ~ spl0_14 ),
inference(superposition,[],[f136,f54]) ).
fof(f535,plain,
( spl0_24
| ~ spl0_8
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f217,f194,f53,f533]) ).
fof(f533,plain,
( spl0_24
<=> ! [X0,X1] : add(additive_inverse(X0),add(X1,X0)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f217,plain,
( ! [X0,X1] : add(additive_inverse(X0),add(X1,X0)) = X1
| ~ spl0_8
| ~ spl0_17 ),
inference(superposition,[],[f195,f54]) ).
fof(f309,plain,
( spl0_23
| ~ spl0_14
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f173,f139,f135,f307]) ).
fof(f307,plain,
( spl0_23
<=> ! [X0,X1] : multiply(X0,add(X1,X1)) = multiply(add(X0,X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f173,plain,
( ! [X0,X1] : multiply(X0,add(X1,X1)) = multiply(add(X0,X0),X1)
| ~ spl0_14
| ~ spl0_15 ),
inference(superposition,[],[f140,f136]) ).
fof(f305,plain,
( spl0_22
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f94,f74,f53,f303]) ).
fof(f94,plain,
( ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X2,add(X0,X1))
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f75,f54]) ).
fof(f301,plain,
( spl0_21
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f87,f74,f53,f299]) ).
fof(f87,plain,
( ! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X1,X0),X2)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f75,f54]) ).
fof(f297,plain,
( ~ spl0_20
| ~ spl0_8
| spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f106,f74,f69,f53,f294]) ).
fof(f106,plain,
( add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(multiply(multiply(u,x),y),add(multiply(multiply(v,x),y),add(additive_inverse(multiply(u,multiply(x,y))),additive_inverse(multiply(v,multiply(x,y))))))
| ~ spl0_8
| spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f105,f54]) ).
fof(f105,plain,
( add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(multiply(multiply(u,x),y),add(multiply(multiply(v,x),y),add(additive_inverse(multiply(v,multiply(x,y))),additive_inverse(multiply(u,multiply(x,y))))))
| ~ spl0_8
| spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f96,f94]) ).
fof(f96,plain,
( add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(multiply(multiply(u,x),y),add(additive_inverse(multiply(u,multiply(x,y))),add(multiply(multiply(v,x),y),additive_inverse(multiply(v,multiply(x,y))))))
| spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f71,f75]) ).
fof(f239,plain,
( spl0_19
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f93,f74,f43,f237]) ).
fof(f43,plain,
( spl0_7
<=> ! [X0] : additive_identity = add(X0,additive_inverse(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f93,plain,
( ! [X0,X1] : additive_identity = add(X0,add(X1,additive_inverse(add(X0,X1))))
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f75,f44]) ).
fof(f44,plain,
( ! [X0] : additive_identity = add(X0,additive_inverse(X0))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f235,plain,
( spl0_18
| ~ spl0_8
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f200,f190,f53,f233]) ).
fof(f233,plain,
( spl0_18
<=> ! [X0,X1] : add(X0,add(X1,additive_inverse(X0))) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f190,plain,
( spl0_16
<=> ! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f200,plain,
( ! [X0,X1] : add(X0,add(X1,additive_inverse(X0))) = X1
| ~ spl0_8
| ~ spl0_16 ),
inference(superposition,[],[f191,f54]) ).
fof(f191,plain,
( ! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f196,plain,
( spl0_17
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f104,f74,f39,f19,f194]) ).
fof(f39,plain,
( spl0_6
<=> ! [X0] : additive_identity = add(additive_inverse(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f104,plain,
( ! [X0,X1] : add(additive_inverse(X0),add(X0,X1)) = X1
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10 ),
inference(forward_demodulation,[],[f91,f20]) ).
fof(f91,plain,
( ! [X0,X1] : add(additive_identity,X1) = add(additive_inverse(X0),add(X0,X1))
| ~ spl0_6
| ~ spl0_10 ),
inference(superposition,[],[f75,f40]) ).
fof(f40,plain,
( ! [X0] : additive_identity = add(additive_inverse(X0),X0)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f192,plain,
( spl0_16
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f101,f74,f43,f19,f190]) ).
fof(f101,plain,
( ! [X0,X1] : add(X0,add(additive_inverse(X0),X1)) = X1
| ~ spl0_1
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f86,f20]) ).
fof(f86,plain,
( ! [X0,X1] : add(additive_identity,X1) = add(X0,add(additive_inverse(X0),X1))
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f75,f44]) ).
fof(f141,plain,
spl0_15,
inference(avatar_split_clause,[],[f9,f139]) ).
fof(f9,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribute2) ).
fof(f137,plain,
spl0_14,
inference(avatar_split_clause,[],[f8,f135]) ).
fof(f8,axiom,
! [X2,X0,X1] : multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribute1) ).
fof(f120,plain,
( spl0_13
| ~ spl0_2
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f47,f39,f23,f117]) ).
fof(f117,plain,
( spl0_13
<=> additive_identity = additive_inverse(additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f47,plain,
( additive_identity = additive_inverse(additive_identity)
| ~ spl0_2
| ~ spl0_6 ),
inference(superposition,[],[f40,f24]) ).
fof(f84,plain,
spl0_12,
inference(avatar_split_clause,[],[f13,f82]) ).
fof(f13,axiom,
! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_alternative) ).
fof(f80,plain,
spl0_11,
inference(avatar_split_clause,[],[f12,f78]) ).
fof(f12,axiom,
! [X0,X1] : multiply(multiply(X0,X1),X1) = multiply(X0,multiply(X1,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_alternative) ).
fof(f76,plain,
spl0_10,
inference(avatar_split_clause,[],[f11,f74]) ).
fof(f11,axiom,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_for_addition) ).
fof(f72,plain,
~ spl0_9,
inference(avatar_split_clause,[],[f17,f69]) ).
fof(f17,plain,
add(multiply(multiply(add(u,v),x),y),additive_inverse(multiply(add(u,v),multiply(x,y)))) != add(add(multiply(multiply(u,x),y),additive_inverse(multiply(u,multiply(x,y)))),add(multiply(multiply(v,x),y),additive_inverse(multiply(v,multiply(x,y))))),
inference(definition_unfolding,[],[f16,f14,f14,f14]) ).
fof(f14,axiom,
! [X2,X0,X1] : associator(X0,X1,X2) = add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associator) ).
fof(f16,axiom,
associator(add(u,v),x,y) != add(associator(u,x,y),associator(v,x,y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_linearised_form3) ).
fof(f55,plain,
spl0_8,
inference(avatar_split_clause,[],[f10,f53]) ).
fof(f10,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_for_addition) ).
fof(f45,plain,
spl0_7,
inference(avatar_split_clause,[],[f6,f43]) ).
fof(f6,axiom,
! [X0] : additive_identity = add(X0,additive_inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_additive_inverse) ).
fof(f41,plain,
spl0_6,
inference(avatar_split_clause,[],[f5,f39]) ).
fof(f5,axiom,
! [X0] : additive_identity = add(additive_inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_additive_inverse) ).
fof(f37,plain,
spl0_5,
inference(avatar_split_clause,[],[f7,f35]) ).
fof(f35,plain,
( spl0_5
<=> ! [X0] : additive_inverse(additive_inverse(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f7,axiom,
! [X0] : additive_inverse(additive_inverse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse_additive_inverse) ).
fof(f33,plain,
spl0_4,
inference(avatar_split_clause,[],[f4,f31]) ).
fof(f31,plain,
( spl0_4
<=> ! [X0] : additive_identity = multiply(X0,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f4,axiom,
! [X0] : additive_identity = multiply(X0,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_multiplicative_zero) ).
fof(f29,plain,
spl0_3,
inference(avatar_split_clause,[],[f3,f27]) ).
fof(f27,plain,
( spl0_3
<=> ! [X0] : additive_identity = multiply(additive_identity,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f3,axiom,
! [X0] : additive_identity = multiply(additive_identity,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_multiplicative_zero) ).
fof(f25,plain,
spl0_2,
inference(avatar_split_clause,[],[f2,f23]) ).
fof(f2,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_additive_identity) ).
fof(f21,plain,
spl0_1,
inference(avatar_split_clause,[],[f1,f19]) ).
fof(f1,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_additive_identity) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.15 % Problem : RNG021-6 : TPTP v8.2.0. Released v1.0.0.
% 0.15/0.17 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.17/0.39 % Computer : n028.cluster.edu
% 0.17/0.39 % Model : x86_64 x86_64
% 0.17/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39 % Memory : 8042.1875MB
% 0.17/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.39 % CPULimit : 300
% 0.17/0.39 % WCLimit : 300
% 0.17/0.39 % DateTime : Sat May 18 12:19:08 EDT 2024
% 0.17/0.39 % CPUTime :
% 0.17/0.39 % (30918)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.41 % (30921)WARNING: value z3 for option sas not known
% 0.17/0.41 % (30923)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)
% 0.17/0.41 % (30925)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)
% 0.17/0.41 % (30921)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)
% 0.17/0.41 % (30924)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)
% 0.17/0.41 % (30920)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.41 % (30922)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.41 % (30919)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.41 TRYING [1]
% 0.17/0.41 TRYING [2]
% 0.17/0.41 TRYING [3]
% 0.17/0.42 TRYING [1]
% 0.17/0.42 TRYING [2]
% 0.17/0.43 TRYING [4]
% 0.17/0.44 TRYING [3]
% 0.23/0.48 % (30923)First to succeed.
% 0.23/0.48 % (30923)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30918"
% 0.23/0.48 % (30923)Refutation found. Thanks to Tanya!
% 0.23/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.48 % (30923)------------------------------
% 0.23/0.48 % (30923)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.48 % (30923)Termination reason: Refutation
% 0.23/0.48
% 0.23/0.48 % (30923)Memory used [KB]: 1954
% 0.23/0.48 % (30923)Time elapsed: 0.071 s
% 0.23/0.48 % (30923)Instructions burned: 146 (million)
% 0.23/0.48 % (30918)Success in time 0.087 s
%------------------------------------------------------------------------------