TSTP Solution File: ALG025+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ALG025+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:38:52 EDT 2022
% Result : Theorem 0.21s 0.56s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 49 ( 26 unt; 0 def)
% Number of atoms : 476 ( 445 equ)
% Maximal formula atoms : 72 ( 9 avg)
% Number of connectives : 644 ( 217 ~; 205 |; 212 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 73 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 11 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f796,plain,
$false,
inference(avatar_sat_refutation,[],[f775,f779,f784,f787,f788,f789,f790,f792,f793,f794,f795]) ).
fof(f795,plain,
spl0_4,
inference(avatar_split_clause,[],[f64,f748]) ).
fof(f748,plain,
( spl0_4
<=> op(e2,e4) = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f64,plain,
op(e2,e4) = op(e4,e2),
inference(cnf_transformation,[],[f15]) ).
fof(f15,plain,
( op(e2,e3) = op(e3,e2)
& op(e2,e4) = op(e4,e2)
& op(e2,e5) = op(e5,e2)
& op(e0,e5) = op(e5,e0)
& op(e1,e1) = op(e1,e1)
& op(e2,e5) = op(e5,e2)
& op(e3,e3) = op(e3,e3)
& op(e0,e3) = op(e3,e0)
& op(e1,e3) = op(e3,e1)
& op(e0,e4) = op(e4,e0)
& op(e1,e5) = op(e5,e1)
& op(e1,e2) = op(e2,e1)
& op(e4,e5) = op(e5,e4)
& op(e0,e2) = op(e2,e0)
& op(e1,e2) = op(e2,e1)
& op(e0,e3) = op(e3,e0)
& ( op(e0,e5) != op(e5,e0)
| op(e1,e4) != op(e4,e1)
| op(e1,e4) != op(e4,e1)
| op(e0,e2) != op(e2,e0)
| op(e1,e5) != op(e5,e1)
| op(e2,e5) != op(e5,e2)
| op(e3,e5) != op(e5,e3)
| op(e3,e4) != op(e4,e3)
| op(e0,e2) != op(e2,e0)
| op(e4,e5) != op(e5,e4)
| op(e3,e3) != op(e3,e3)
| op(e5,e5) != op(e5,e5)
| op(e1,e2) != op(e2,e1)
| op(e4,e5) != op(e5,e4)
| op(e2,e5) != op(e5,e2)
| op(e1,e1) != op(e1,e1)
| op(e0,e1) != op(e1,e0)
| op(e0,e3) != op(e3,e0)
| op(e1,e5) != op(e5,e1)
| op(e1,e3) != op(e3,e1)
| op(e1,e2) != op(e2,e1)
| op(e2,e4) != op(e4,e2)
| op(e2,e2) != op(e2,e2)
| op(e2,e4) != op(e4,e2)
| op(e0,e5) != op(e5,e0)
| op(e2,e3) != op(e3,e2)
| op(e0,e4) != op(e4,e0)
| op(e4,e4) != op(e4,e4)
| op(e0,e4) != op(e4,e0)
| op(e2,e3) != op(e3,e2)
| op(e0,e0) != op(e0,e0)
| op(e0,e3) != op(e3,e0)
| op(e3,e4) != op(e4,e3)
| op(e1,e3) != op(e3,e1)
| op(e0,e1) != op(e1,e0)
| op(e3,e5) != op(e5,e3) )
& op(e0,e2) = op(e2,e0)
& op(e1,e5) = op(e5,e1)
& op(e4,e5) = op(e5,e4)
& op(e3,e4) = op(e4,e3)
& op(e0,e5) = op(e5,e0)
& op(e3,e5) = op(e5,e3)
& op(e2,e2) = op(e2,e2)
& op(e1,e4) = op(e4,e1)
& op(e0,e1) = op(e1,e0)
& op(e3,e5) = op(e5,e3)
& op(e3,e4) = op(e4,e3)
& op(e2,e3) = op(e3,e2)
& op(e0,e4) = op(e4,e0)
& op(e0,e1) = op(e1,e0)
& op(e2,e4) = op(e4,e2)
& op(e1,e3) = op(e3,e1)
& op(e1,e4) = op(e4,e1)
& op(e4,e4) = op(e4,e4)
& op(e0,e0) = op(e0,e0)
& op(e5,e5) = op(e5,e5) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
( op(e1,e1) = op(e1,e1)
& op(e2,e2) = op(e2,e2)
& op(e0,e3) = op(e3,e0)
& op(e3,e4) = op(e4,e3)
& op(e0,e2) = op(e2,e0)
& op(e0,e0) = op(e0,e0)
& op(e1,e2) = op(e2,e1)
& op(e2,e5) = op(e5,e2)
& op(e0,e4) = op(e4,e0)
& op(e5,e5) = op(e5,e5)
& op(e0,e2) = op(e2,e0)
& op(e1,e5) = op(e5,e1)
& op(e3,e5) = op(e5,e3)
& op(e1,e3) = op(e3,e1)
& op(e1,e4) = op(e4,e1)
& op(e4,e5) = op(e5,e4)
& op(e4,e4) = op(e4,e4)
& op(e3,e4) = op(e4,e3)
& op(e3,e5) = op(e5,e3)
& op(e2,e4) = op(e4,e2)
& op(e0,e5) = op(e5,e0)
& op(e2,e4) = op(e4,e2)
& op(e2,e3) = op(e3,e2)
& op(e0,e1) = op(e1,e0)
& op(e0,e3) = op(e3,e0)
& op(e2,e3) = op(e3,e2)
& op(e0,e1) = op(e1,e0)
& op(e2,e5) = op(e5,e2)
& op(e4,e5) = op(e5,e4)
& op(e3,e3) = op(e3,e3)
& op(e0,e4) = op(e4,e0)
& op(e1,e5) = op(e5,e1)
& op(e0,e5) = op(e5,e0)
& op(e1,e4) = op(e4,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e2) = op(e2,e1)
& ( op(e0,e5) != op(e5,e0)
| op(e1,e4) != op(e4,e1)
| op(e1,e4) != op(e4,e1)
| op(e0,e2) != op(e2,e0)
| op(e1,e5) != op(e5,e1)
| op(e2,e5) != op(e5,e2)
| op(e3,e5) != op(e5,e3)
| op(e3,e4) != op(e4,e3)
| op(e0,e2) != op(e2,e0)
| op(e4,e5) != op(e5,e4)
| op(e3,e3) != op(e3,e3)
| op(e5,e5) != op(e5,e5)
| op(e1,e2) != op(e2,e1)
| op(e4,e5) != op(e5,e4)
| op(e2,e5) != op(e5,e2)
| op(e1,e1) != op(e1,e1)
| op(e0,e1) != op(e1,e0)
| op(e0,e3) != op(e3,e0)
| op(e1,e5) != op(e5,e1)
| op(e1,e3) != op(e3,e1)
| op(e1,e2) != op(e2,e1)
| op(e2,e4) != op(e4,e2)
| op(e2,e2) != op(e2,e2)
| op(e2,e4) != op(e4,e2)
| op(e0,e5) != op(e5,e0)
| op(e2,e3) != op(e3,e2)
| op(e0,e4) != op(e4,e0)
| op(e4,e4) != op(e4,e4)
| op(e0,e4) != op(e4,e0)
| op(e2,e3) != op(e3,e2)
| op(e0,e0) != op(e0,e0)
| op(e0,e3) != op(e3,e0)
| op(e3,e4) != op(e4,e3)
| op(e1,e3) != op(e3,e1)
| op(e0,e1) != op(e1,e0)
| op(e3,e5) != op(e5,e3) ) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,negated_conjecture,
~ ( ~ ( op(e1,e1) = op(e1,e1)
& op(e2,e2) = op(e2,e2)
& op(e0,e3) = op(e3,e0)
& op(e3,e4) = op(e4,e3)
& op(e0,e2) = op(e2,e0)
& op(e0,e0) = op(e0,e0)
& op(e1,e2) = op(e2,e1)
& op(e2,e5) = op(e5,e2)
& op(e0,e4) = op(e4,e0)
& op(e5,e5) = op(e5,e5)
& op(e0,e2) = op(e2,e0)
& op(e1,e5) = op(e5,e1)
& op(e3,e5) = op(e5,e3)
& op(e1,e3) = op(e3,e1)
& op(e1,e4) = op(e4,e1)
& op(e4,e5) = op(e5,e4)
& op(e4,e4) = op(e4,e4)
& op(e3,e4) = op(e4,e3)
& op(e3,e5) = op(e5,e3)
& op(e2,e4) = op(e4,e2)
& op(e0,e5) = op(e5,e0)
& op(e2,e4) = op(e4,e2)
& op(e2,e3) = op(e3,e2)
& op(e0,e1) = op(e1,e0)
& op(e0,e3) = op(e3,e0)
& op(e2,e3) = op(e3,e2)
& op(e0,e1) = op(e1,e0)
& op(e2,e5) = op(e5,e2)
& op(e4,e5) = op(e5,e4)
& op(e3,e3) = op(e3,e3)
& op(e0,e4) = op(e4,e0)
& op(e1,e5) = op(e5,e1)
& op(e0,e5) = op(e5,e0)
& op(e1,e4) = op(e4,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e2) = op(e2,e1) )
| ( op(e2,e5) = op(e5,e2)
& op(e2,e4) = op(e4,e2)
& op(e1,e4) = op(e4,e1)
& op(e1,e3) = op(e3,e1)
& op(e2,e4) = op(e4,e2)
& op(e3,e3) = op(e3,e3)
& op(e0,e1) = op(e1,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e2) = op(e2,e0)
& op(e2,e3) = op(e3,e2)
& op(e2,e3) = op(e3,e2)
& op(e4,e5) = op(e5,e4)
& op(e0,e5) = op(e5,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e4) = op(e4,e0)
& op(e1,e5) = op(e5,e1)
& op(e5,e5) = op(e5,e5)
& op(e1,e2) = op(e2,e1)
& op(e1,e5) = op(e5,e1)
& op(e0,e4) = op(e4,e0)
& op(e1,e1) = op(e1,e1)
& op(e0,e5) = op(e5,e0)
& op(e2,e2) = op(e2,e2)
& op(e3,e4) = op(e4,e3)
& op(e1,e3) = op(e3,e1)
& op(e3,e5) = op(e5,e3)
& op(e1,e2) = op(e2,e1)
& op(e2,e5) = op(e5,e2)
& op(e4,e5) = op(e5,e4)
& op(e4,e4) = op(e4,e4)
& op(e0,e0) = op(e0,e0)
& op(e0,e1) = op(e1,e0)
& op(e1,e4) = op(e4,e1)
& op(e3,e5) = op(e5,e3)
& op(e3,e4) = op(e4,e3) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
( ~ ( op(e1,e1) = op(e1,e1)
& op(e2,e2) = op(e2,e2)
& op(e0,e3) = op(e3,e0)
& op(e3,e4) = op(e4,e3)
& op(e0,e2) = op(e2,e0)
& op(e0,e0) = op(e0,e0)
& op(e1,e2) = op(e2,e1)
& op(e2,e5) = op(e5,e2)
& op(e0,e4) = op(e4,e0)
& op(e5,e5) = op(e5,e5)
& op(e0,e2) = op(e2,e0)
& op(e1,e5) = op(e5,e1)
& op(e3,e5) = op(e5,e3)
& op(e1,e3) = op(e3,e1)
& op(e1,e4) = op(e4,e1)
& op(e4,e5) = op(e5,e4)
& op(e4,e4) = op(e4,e4)
& op(e3,e4) = op(e4,e3)
& op(e3,e5) = op(e5,e3)
& op(e2,e4) = op(e4,e2)
& op(e0,e5) = op(e5,e0)
& op(e2,e4) = op(e4,e2)
& op(e2,e3) = op(e3,e2)
& op(e0,e1) = op(e1,e0)
& op(e0,e3) = op(e3,e0)
& op(e2,e3) = op(e3,e2)
& op(e0,e1) = op(e1,e0)
& op(e2,e5) = op(e5,e2)
& op(e4,e5) = op(e5,e4)
& op(e3,e3) = op(e3,e3)
& op(e0,e4) = op(e4,e0)
& op(e1,e5) = op(e5,e1)
& op(e0,e5) = op(e5,e0)
& op(e1,e4) = op(e4,e1)
& op(e1,e3) = op(e3,e1)
& op(e1,e2) = op(e2,e1) )
| ( op(e2,e5) = op(e5,e2)
& op(e2,e4) = op(e4,e2)
& op(e1,e4) = op(e4,e1)
& op(e1,e3) = op(e3,e1)
& op(e2,e4) = op(e4,e2)
& op(e3,e3) = op(e3,e3)
& op(e0,e1) = op(e1,e0)
& op(e0,e2) = op(e2,e0)
& op(e0,e2) = op(e2,e0)
& op(e2,e3) = op(e3,e2)
& op(e2,e3) = op(e3,e2)
& op(e4,e5) = op(e5,e4)
& op(e0,e5) = op(e5,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e3) = op(e3,e0)
& op(e0,e4) = op(e4,e0)
& op(e1,e5) = op(e5,e1)
& op(e5,e5) = op(e5,e5)
& op(e1,e2) = op(e2,e1)
& op(e1,e5) = op(e5,e1)
& op(e0,e4) = op(e4,e0)
& op(e1,e1) = op(e1,e1)
& op(e0,e5) = op(e5,e0)
& op(e2,e2) = op(e2,e2)
& op(e3,e4) = op(e4,e3)
& op(e1,e3) = op(e3,e1)
& op(e3,e5) = op(e5,e3)
& op(e1,e2) = op(e2,e1)
& op(e2,e5) = op(e5,e2)
& op(e4,e5) = op(e5,e4)
& op(e4,e4) = op(e4,e4)
& op(e0,e0) = op(e0,e0)
& op(e0,e1) = op(e1,e0)
& op(e1,e4) = op(e4,e1)
& op(e3,e5) = op(e5,e3)
& op(e3,e4) = op(e4,e3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f794,plain,
spl0_9,
inference(avatar_split_clause,[],[f86,f768]) ).
fof(f768,plain,
( spl0_9
<=> op(e0,e4) = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f86,plain,
op(e0,e4) = op(e4,e0),
inference(cnf_transformation,[],[f15]) ).
fof(f793,plain,
spl0_8,
inference(avatar_split_clause,[],[f83,f764]) ).
fof(f764,plain,
( spl0_8
<=> op(e4,e5) = op(e5,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f83,plain,
op(e4,e5) = op(e5,e4),
inference(cnf_transformation,[],[f15]) ).
fof(f792,plain,
spl0_6,
inference(avatar_split_clause,[],[f75,f756]) ).
fof(f756,plain,
( spl0_6
<=> op(e3,e4) = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f75,plain,
op(e3,e4) = op(e4,e3),
inference(cnf_transformation,[],[f15]) ).
fof(f790,plain,
spl0_1,
inference(avatar_split_clause,[],[f93,f736]) ).
fof(f736,plain,
( spl0_1
<=> op(e2,e5) = op(e5,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f93,plain,
op(e2,e5) = op(e5,e2),
inference(cnf_transformation,[],[f15]) ).
fof(f789,plain,
spl0_7,
inference(avatar_split_clause,[],[f82,f760]) ).
fof(f760,plain,
( spl0_7
<=> op(e0,e2) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f82,plain,
op(e0,e2) = op(e2,e0),
inference(cnf_transformation,[],[f15]) ).
fof(f788,plain,
spl0_2,
inference(avatar_split_clause,[],[f80,f740]) ).
fof(f740,plain,
( spl0_2
<=> op(e0,e3) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f80,plain,
op(e0,e3) = op(e3,e0),
inference(cnf_transformation,[],[f15]) ).
fof(f787,plain,
spl0_10,
inference(avatar_split_clause,[],[f65,f772]) ).
fof(f772,plain,
( spl0_10
<=> op(e0,e1) = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f65,plain,
op(e0,e1) = op(e1,e0),
inference(cnf_transformation,[],[f15]) ).
fof(f784,plain,
spl0_5,
inference(avatar_split_clause,[],[f74,f752]) ).
fof(f752,plain,
( spl0_5
<=> op(e0,e5) = op(e5,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f74,plain,
op(e0,e5) = op(e5,e0),
inference(cnf_transformation,[],[f15]) ).
fof(f779,plain,
spl0_3,
inference(avatar_split_clause,[],[f71,f744]) ).
fof(f744,plain,
( spl0_3
<=> op(e1,e4) = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f71,plain,
op(e1,e4) = op(e4,e1),
inference(cnf_transformation,[],[f15]) ).
fof(f775,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f734,f772,f768,f764,f760,f756,f752,f748,f744,f740,f736]) ).
fof(f734,plain,
( op(e0,e1) != op(e1,e0)
| op(e0,e4) != op(e4,e0)
| op(e4,e5) != op(e5,e4)
| op(e0,e2) != op(e2,e0)
| op(e3,e4) != op(e4,e3)
| op(e0,e5) != op(e5,e0)
| op(e2,e4) != op(e4,e2)
| op(e1,e4) != op(e4,e1)
| op(e0,e3) != op(e3,e0)
| op(e2,e5) != op(e5,e2) ),
inference(subsumption_resolution,[],[f733,f85]) ).
fof(f85,plain,
op(e1,e5) = op(e5,e1),
inference(cnf_transformation,[],[f15]) ).
fof(f733,plain,
( op(e0,e1) != op(e1,e0)
| op(e2,e4) != op(e4,e2)
| op(e1,e4) != op(e4,e1)
| op(e2,e5) != op(e5,e2)
| op(e0,e5) != op(e5,e0)
| op(e1,e5) != op(e5,e1)
| op(e0,e4) != op(e4,e0)
| op(e0,e2) != op(e2,e0)
| op(e4,e5) != op(e5,e4)
| op(e3,e4) != op(e4,e3)
| op(e0,e3) != op(e3,e0) ),
inference(subsumption_resolution,[],[f732,f69]) ).
fof(f69,plain,
op(e3,e5) = op(e5,e3),
inference(cnf_transformation,[],[f15]) ).
fof(f732,plain,
( op(e2,e5) != op(e5,e2)
| op(e3,e5) != op(e5,e3)
| op(e0,e3) != op(e3,e0)
| op(e0,e1) != op(e1,e0)
| op(e2,e4) != op(e4,e2)
| op(e0,e2) != op(e2,e0)
| op(e3,e4) != op(e4,e3)
| op(e0,e4) != op(e4,e0)
| op(e4,e5) != op(e5,e4)
| op(e1,e4) != op(e4,e1)
| op(e0,e5) != op(e5,e0)
| op(e1,e5) != op(e5,e1) ),
inference(subsumption_resolution,[],[f731,f95]) ).
fof(f95,plain,
op(e2,e3) = op(e3,e2),
inference(cnf_transformation,[],[f15]) ).
fof(f731,plain,
( op(e4,e5) != op(e5,e4)
| op(e2,e5) != op(e5,e2)
| op(e2,e3) != op(e3,e2)
| op(e1,e4) != op(e4,e1)
| op(e0,e1) != op(e1,e0)
| op(e0,e2) != op(e2,e0)
| op(e1,e5) != op(e5,e1)
| op(e0,e5) != op(e5,e0)
| op(e2,e4) != op(e4,e2)
| op(e3,e5) != op(e5,e3)
| op(e0,e3) != op(e3,e0)
| op(e3,e4) != op(e4,e3)
| op(e0,e4) != op(e4,e0) ),
inference(subsumption_resolution,[],[f730,f81]) ).
fof(f81,plain,
op(e1,e2) = op(e2,e1),
inference(cnf_transformation,[],[f15]) ).
fof(f730,plain,
( op(e1,e2) != op(e2,e1)
| op(e3,e4) != op(e4,e3)
| op(e0,e3) != op(e3,e0)
| op(e0,e1) != op(e1,e0)
| op(e2,e4) != op(e4,e2)
| op(e0,e4) != op(e4,e0)
| op(e3,e5) != op(e5,e3)
| op(e1,e5) != op(e5,e1)
| op(e2,e3) != op(e3,e2)
| op(e0,e5) != op(e5,e0)
| op(e1,e4) != op(e4,e1)
| op(e0,e2) != op(e2,e0)
| op(e2,e5) != op(e5,e2)
| op(e4,e5) != op(e5,e4) ),
inference(subsumption_resolution,[],[f590,f87]) ).
fof(f87,plain,
op(e1,e3) = op(e3,e1),
inference(cnf_transformation,[],[f15]) ).
fof(f590,plain,
( op(e1,e4) != op(e4,e1)
| op(e2,e4) != op(e4,e2)
| op(e1,e3) != op(e3,e1)
| op(e3,e5) != op(e5,e3)
| op(e2,e3) != op(e3,e2)
| op(e0,e4) != op(e4,e0)
| op(e2,e5) != op(e5,e2)
| op(e0,e5) != op(e5,e0)
| op(e0,e3) != op(e3,e0)
| op(e3,e4) != op(e4,e3)
| op(e1,e5) != op(e5,e1)
| op(e0,e2) != op(e2,e0)
| op(e4,e5) != op(e5,e4)
| op(e1,e2) != op(e2,e1)
| op(e0,e1) != op(e1,e0) ),
inference(trivial_inequality_removal,[],[f589]) ).
fof(f589,plain,
( op(e0,e4) != op(e4,e0)
| op(e0,e3) != op(e3,e0)
| op(e4,e5) != op(e5,e4)
| op(e2,e2) != op(e2,e2)
| op(e4,e4) != op(e4,e4)
| op(e3,e4) != op(e4,e3)
| op(e1,e1) != op(e1,e1)
| op(e1,e4) != op(e4,e1)
| op(e2,e4) != op(e4,e2)
| op(e0,e0) != op(e0,e0)
| op(e5,e5) != op(e5,e5)
| op(e1,e3) != op(e3,e1)
| op(e1,e2) != op(e2,e1)
| op(e2,e3) != op(e3,e2)
| op(e3,e5) != op(e5,e3)
| op(e0,e5) != op(e5,e0)
| op(e0,e1) != op(e1,e0)
| op(e0,e2) != op(e2,e0)
| op(e2,e5) != op(e5,e2)
| op(e1,e5) != op(e5,e1)
| op(e3,e3) != op(e3,e3) ),
inference(duplicate_literal_removal,[],[f79]) ).
fof(f79,plain,
( op(e4,e5) != op(e5,e4)
| op(e3,e5) != op(e5,e3)
| op(e0,e2) != op(e2,e0)
| op(e0,e3) != op(e3,e0)
| op(e1,e1) != op(e1,e1)
| op(e0,e4) != op(e4,e0)
| op(e0,e5) != op(e5,e0)
| op(e0,e5) != op(e5,e0)
| op(e2,e3) != op(e3,e2)
| op(e2,e4) != op(e4,e2)
| op(e0,e2) != op(e2,e0)
| op(e2,e2) != op(e2,e2)
| op(e3,e5) != op(e5,e3)
| op(e1,e4) != op(e4,e1)
| op(e2,e5) != op(e5,e2)
| op(e3,e4) != op(e4,e3)
| op(e5,e5) != op(e5,e5)
| op(e2,e4) != op(e4,e2)
| op(e4,e4) != op(e4,e4)
| op(e0,e3) != op(e3,e0)
| op(e0,e1) != op(e1,e0)
| op(e1,e3) != op(e3,e1)
| op(e1,e2) != op(e2,e1)
| op(e4,e5) != op(e5,e4)
| op(e1,e4) != op(e4,e1)
| op(e1,e5) != op(e5,e1)
| op(e1,e2) != op(e2,e1)
| op(e1,e5) != op(e5,e1)
| op(e3,e4) != op(e4,e3)
| op(e1,e3) != op(e3,e1)
| op(e2,e5) != op(e5,e2)
| op(e0,e1) != op(e1,e0)
| op(e2,e3) != op(e3,e2)
| op(e3,e3) != op(e3,e3)
| op(e0,e0) != op(e0,e0)
| op(e0,e4) != op(e4,e0) ),
inference(cnf_transformation,[],[f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ALG025+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n003.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 : Mon Aug 29 14:50:37 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51 % (2909)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.51 % (2909)Instruction limit reached!
% 0.21/0.51 % (2909)------------------------------
% 0.21/0.51 % (2909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (2909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (2909)Termination reason: Unknown
% 0.21/0.51 % (2909)Termination phase: Property scanning
% 0.21/0.51
% 0.21/0.51 % (2909)Memory used [KB]: 1791
% 0.21/0.51 % (2909)Time elapsed: 0.003 s
% 0.21/0.51 % (2909)Instructions burned: 4 (million)
% 0.21/0.51 % (2909)------------------------------
% 0.21/0.51 % (2909)------------------------------
% 0.21/0.51 % (2917)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.51 % (2933)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51 % (2910)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (2917)Instruction limit reached!
% 0.21/0.52 % (2917)------------------------------
% 0.21/0.52 % (2917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (2917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (2917)Termination reason: Unknown
% 0.21/0.52 % (2917)Termination phase: Property scanning
% 0.21/0.52
% 0.21/0.52 % (2917)Memory used [KB]: 1791
% 0.21/0.52 % (2917)Time elapsed: 0.008 s
% 0.21/0.52 % (2917)Instructions burned: 12 (million)
% 0.21/0.52 % (2917)------------------------------
% 0.21/0.52 % (2917)------------------------------
% 0.21/0.53 % (2911)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.53 % (2934)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.21/0.53 % (2918)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53 % (2918)Instruction limit reached!
% 0.21/0.53 % (2918)------------------------------
% 0.21/0.53 % (2918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (2913)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.54 % (2918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (2918)Termination reason: Unknown
% 0.21/0.54 % (2918)Termination phase: Property scanning
% 0.21/0.54
% 0.21/0.54 % (2918)Memory used [KB]: 1791
% 0.21/0.54 % (2918)Time elapsed: 0.004 s
% 0.21/0.54 % (2918)Instructions burned: 7 (million)
% 0.21/0.54 % (2918)------------------------------
% 0.21/0.54 % (2918)------------------------------
% 0.21/0.54 % (2914)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.54 % (2921)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.54 % (2921)Instruction limit reached!
% 0.21/0.54 % (2921)------------------------------
% 0.21/0.54 % (2921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (2921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (2921)Termination reason: Unknown
% 0.21/0.54 % (2921)Termination phase: Preprocessing 3
% 0.21/0.54
% 0.21/0.54 % (2921)Memory used [KB]: 1663
% 0.21/0.54 % (2921)Time elapsed: 0.003 s
% 0.21/0.54 % (2921)Instructions burned: 3 (million)
% 0.21/0.54 % (2921)------------------------------
% 0.21/0.54 % (2921)------------------------------
% 0.21/0.55 % (2922)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.55 % (2912)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.55 % (2922)Instruction limit reached!
% 0.21/0.55 % (2922)------------------------------
% 0.21/0.55 % (2922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (2922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (2922)Termination reason: Unknown
% 0.21/0.55 % (2922)Termination phase: Property scanning
% 0.21/0.55
% 0.21/0.55 % (2922)Memory used [KB]: 1791
% 0.21/0.55 % (2922)Time elapsed: 0.004 s
% 0.21/0.55 % (2922)Instructions burned: 9 (million)
% 0.21/0.55 % (2922)------------------------------
% 0.21/0.55 % (2922)------------------------------
% 0.21/0.55 % (2930)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.55 % (2923)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.55 % (2911)Instruction limit reached!
% 0.21/0.55 % (2911)------------------------------
% 0.21/0.55 % (2911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (2911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (2911)Termination reason: Unknown
% 0.21/0.55 % (2911)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (2911)Memory used [KB]: 6268
% 0.21/0.55 % (2911)Time elapsed: 0.007 s
% 0.21/0.55 % (2911)Instructions burned: 13 (million)
% 0.21/0.55 % (2911)------------------------------
% 0.21/0.55 % (2911)------------------------------
% 0.21/0.55 % (2907)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.55 % (2931)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.55 % (2912)Instruction limit reached!
% 0.21/0.55 % (2912)------------------------------
% 0.21/0.55 % (2912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (2912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (2912)Termination reason: Unknown
% 0.21/0.55 % (2912)Termination phase: Function definition elimination
% 0.21/0.55
% 0.21/0.55 % (2912)Memory used [KB]: 1791
% 0.21/0.55 % (2912)Time elapsed: 0.007 s
% 0.21/0.55 % (2912)Instructions burned: 15 (million)
% 0.21/0.55 % (2912)------------------------------
% 0.21/0.55 % (2912)------------------------------
% 0.21/0.55 % (2908)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.55 % (2934)Instruction limit reached!
% 0.21/0.55 % (2934)------------------------------
% 0.21/0.55 % (2934)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55 % (2934)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (2934)Termination reason: Unknown
% 0.21/0.55 % (2934)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (2934)Memory used [KB]: 6908
% 0.21/0.55 % (2934)Time elapsed: 0.130 s
% 0.21/0.55 % (2934)Instructions burned: 26 (million)
% 0.21/0.55 % (2934)------------------------------
% 0.21/0.55 % (2934)------------------------------
% 0.21/0.55 % (2935)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.56 % (2932)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.21/0.56 % (2936)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.21/0.56 % (2935)Instruction limit reached!
% 0.21/0.56 % (2935)------------------------------
% 0.21/0.56 % (2935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (2935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (2935)Termination reason: Unknown
% 0.21/0.56 % (2935)Termination phase: Function definition elimination
% 0.21/0.56
% 0.21/0.56 % (2935)Memory used [KB]: 1791
% 0.21/0.56 % (2935)Time elapsed: 0.005 s
% 0.21/0.56 % (2935)Instructions burned: 11 (million)
% 0.21/0.56 % (2935)------------------------------
% 0.21/0.56 % (2935)------------------------------
% 0.21/0.56 % (2910)First to succeed.
% 0.21/0.56 % (2927)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.56 % (2928)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.56 % (2924)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.56 % (2924)Instruction limit reached!
% 0.21/0.56 % (2924)------------------------------
% 0.21/0.56 % (2924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (2924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (2924)Termination reason: Unknown
% 0.21/0.56 % (2924)Termination phase: Property scanning
% 0.21/0.56
% 0.21/0.56 % (2924)Memory used [KB]: 1791
% 0.21/0.56 % (2924)Time elapsed: 0.003 s
% 0.21/0.56 % (2924)Instructions burned: 5 (million)
% 0.21/0.56 % (2924)------------------------------
% 0.21/0.56 % (2924)------------------------------
% 0.21/0.56 % (2910)Refutation found. Thanks to Tanya!
% 0.21/0.56 % SZS status Theorem for theBenchmark
% 0.21/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.56 % (2910)------------------------------
% 0.21/0.56 % (2910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (2910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (2910)Termination reason: Refutation
% 0.21/0.56
% 0.21/0.56 % (2910)Memory used [KB]: 7164
% 0.21/0.56 % (2910)Time elapsed: 0.032 s
% 0.21/0.56 % (2910)Instructions burned: 37 (million)
% 0.21/0.56 % (2910)------------------------------
% 0.21/0.56 % (2910)------------------------------
% 0.21/0.56 % (2888)Success in time 0.203 s
%------------------------------------------------------------------------------