TSTP Solution File: SWW443-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW443-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n004.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 : Fri Sep 1 01:01:23 EDT 2023
% Result : Unsatisfiable 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 9
% Syntax : Number of formulae : 95 ( 47 unt; 0 def)
% Number of atoms : 167 ( 25 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 138 ( 66 ~; 69 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-2 aty)
% Number of variables : 9 (; 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f145,plain,
$false,
inference(avatar_sat_refutation,[],[f86,f104,f114,f121,f144]) ).
fof(f144,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f143]) ).
fof(f143,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(global_subsumption,[],[f19,f122,f141]) ).
fof(f141,plain,
( x2 = x8
| x5 = x2
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f139,f7]) ).
fof(f7,axiom,
! [X2,X3,X4,X5] :
( X3 = X5
| X3 = X4
| ~ heap(sep(lseg(X3,X4),sep(lseg(X3,X5),X2))) ),
file('/export/starexec/sandbox/tmp/tmp.pl5ftFFX75/Vampire---4.8_21113',wellformedness_5) ).
fof(f139,plain,
( heap(sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp))))))))))))
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f138,f2]) ).
fof(f2,axiom,
! [X2,X3] : sep(lseg(X3,X3),X2) = X2,
file('/export/starexec/sandbox/tmp/tmp.pl5ftFFX75/Vampire---4.8_21113',normalization) ).
fof(f138,plain,
( heap(sep(lseg(x2,x2),sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))))
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f137,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
file('/export/starexec/sandbox/tmp/tmp.pl5ftFFX75/Vampire---4.8_21113',associative_commutative) ).
fof(f137,plain,
( heap(sep(lseg(x2,x5),sep(lseg(x2,x2),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))))
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f136,f1]) ).
fof(f136,plain,
( heap(sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x2),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))))
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f135,f1]) ).
fof(f135,plain,
( heap(sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x2,x2),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))))
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f134,f1]) ).
fof(f134,plain,
( heap(sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x2,x2),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))))
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f133,f1]) ).
fof(f133,plain,
( heap(sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x2,x2),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))))
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f132,f1]) ).
fof(f132,plain,
( heap(sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x2,x2),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))))
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f131,f1]) ).
fof(f131,plain,
( heap(sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x2,x2),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))))
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f130,f2]) ).
fof(f130,plain,
( heap(sep(lseg(x2,x2),sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x2,x2),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp))))))))))))))
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f126,f1]) ).
fof(f126,plain,
( heap(sep(lseg(x2,x5),sep(lseg(x2,x2),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x2,x2),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp))))))))))))))
| ~ spl0_2
| ~ spl0_3 ),
inference(backward_demodulation,[],[f123,f85]) ).
fof(f85,plain,
( x18 = x2
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl0_2
<=> x18 = x2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f123,plain,
( heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x18,x2),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp))))))))))))))
| ~ spl0_3 ),
inference(backward_demodulation,[],[f76,f103]) ).
fof(f103,plain,
( x15 = x2
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl0_3
<=> x15 = x2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f76,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x18,x15),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))))),
inference(forward_demodulation,[],[f75,f1]) ).
fof(f75,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x18,x15),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))))),
inference(forward_demodulation,[],[f74,f1]) ).
fof(f74,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x18,x15),sep(lseg(x9,x5),sep(lseg(x11,x7),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))))),
inference(forward_demodulation,[],[f73,f1]) ).
fof(f73,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x18,x15),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x11,x7),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))))),
inference(forward_demodulation,[],[f72,f1]) ).
fof(f72,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x18,x15),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x11,x7),sep(lseg(x10,x1),emp)))))))))))))),
inference(forward_demodulation,[],[f71,f1]) ).
fof(f71,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x18,x15),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f70,f1]) ).
fof(f70,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x11,x9),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f69,f1]) ).
fof(f69,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x9,x5),sep(lseg(x11,x9),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f68,f1]) ).
fof(f68,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x11,x9),sep(lseg(x7,x5),sep(lseg(x10,x1),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f67,f1]) ).
fof(f67,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x10,x1),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f66,f1]) ).
fof(f66,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f65,f1]) ).
fof(f65,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f64,f1]) ).
fof(f64,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x9,x5),sep(lseg(x10,x1),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f63,f1]) ).
fof(f63,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f62,f1]) ).
fof(f62,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x2,x8),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f61,f1]) ).
fof(f61,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x2,x8),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f60,f1]) ).
fof(f60,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x2,x8),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f59,f1]) ).
fof(f59,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x2,x8),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f58,f1]) ).
fof(f58,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x2,x8),sep(lseg(x10,x1),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f57,f1]) ).
fof(f57,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f56,f1]) ).
fof(f56,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f55,f1]) ).
fof(f55,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x2,x18),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f54,f1]) ).
fof(f54,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x2,x18),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f53,f1]) ).
fof(f53,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x2,x18),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f52,f1]) ).
fof(f52,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x2,x18),sep(lseg(x10,x1),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f51,f1]) ).
fof(f51,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f50,f1]) ).
fof(f50,plain,
heap(sep(lseg(x2,x5),sep(lseg(x1,x14),sep(lseg(x2,x12),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f49,f1]) ).
fof(f49,plain,
heap(sep(lseg(x2,x5),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f48,f1]) ).
fof(f48,plain,
heap(sep(lseg(x2,x5),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x2,x12),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f47,f1]) ).
fof(f47,plain,
heap(sep(lseg(x2,x5),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x2,x12),sep(lseg(x10,x1),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f46,f1]) ).
fof(f46,plain,
heap(sep(lseg(x2,x5),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f45,f1]) ).
fof(f45,plain,
heap(sep(lseg(x1,x14),sep(lseg(x2,x5),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f44,f1]) ).
fof(f44,plain,
heap(sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x2,x5),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f43,f1]) ).
fof(f43,plain,
heap(sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f42,f1]) ).
fof(f42,plain,
heap(sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x10,x1),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f41,f1]) ).
fof(f41,plain,
heap(sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f40,f1]) ).
fof(f40,plain,
heap(sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x18,x15),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f39,f1]) ).
fof(f39,plain,
heap(sep(lseg(x1,x14),sep(lseg(x18,x15),sep(lseg(x1,x3),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f38,f1]) ).
fof(f38,plain,
heap(sep(lseg(x1,x14),sep(lseg(x18,x15),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f37,f1]) ).
fof(f37,plain,
heap(sep(lseg(x18,x15),sep(lseg(x1,x14),sep(lseg(x10,x1),sep(lseg(x1,x3),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f36,f1]) ).
fof(f36,plain,
heap(sep(lseg(x18,x15),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f34,f1]) ).
fof(f34,axiom,
heap(sep(lseg(x10,x1),sep(lseg(x18,x15),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
file('/export/starexec/sandbox/tmp/tmp.pl5ftFFX75/Vampire---4.8_21113',premise_23) ).
fof(f122,plain,
( x5 != x2
| ~ spl0_3 ),
inference(backward_demodulation,[],[f33,f103]) ).
fof(f33,axiom,
x15 != x5,
file('/export/starexec/sandbox/tmp/tmp.pl5ftFFX75/Vampire---4.8_21113',premise_22) ).
fof(f19,axiom,
x2 != x8,
file('/export/starexec/sandbox/tmp/tmp.pl5ftFFX75/Vampire---4.8_21113',premise_8) ).
fof(f121,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f120]) ).
fof(f120,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(global_subsumption,[],[f19,f84,f118]) ).
fof(f118,plain,
( x2 = x8
| x18 = x2
| ~ spl0_1 ),
inference(resolution,[],[f116,f7]) ).
fof(f116,plain,
( heap(sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x18,x15),sep(lseg(x9,x2),sep(lseg(x12,x13),sep(lseg(x7,x2),sep(lseg(x10,x1),emp)))))))))))))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f115,f2]) ).
fof(f115,plain,
( heap(sep(lseg(x2,x2),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x18,x15),sep(lseg(x9,x2),sep(lseg(x12,x13),sep(lseg(x7,x2),sep(lseg(x10,x1),emp))))))))))))))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f76,f81]) ).
fof(f81,plain,
( x5 = x2
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl0_1
<=> x5 = x2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f84,plain,
( x18 != x2
| spl0_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f114,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f113]) ).
fof(f113,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(global_subsumption,[],[f19,f106,f111]) ).
fof(f111,plain,
( x2 = x8
| x15 = x2
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f109,f7]) ).
fof(f109,plain,
( heap(sep(lseg(x2,x15),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x2),sep(lseg(x12,x13),sep(lseg(x7,x2),sep(lseg(x10,x1),emp))))))))))))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f105,f2]) ).
fof(f105,plain,
( heap(sep(lseg(x2,x2),sep(lseg(x2,x15),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x2),sep(lseg(x12,x13),sep(lseg(x7,x2),sep(lseg(x10,x1),emp)))))))))))))
| ~ spl0_1
| ~ spl0_2 ),
inference(backward_demodulation,[],[f98,f81]) ).
fof(f98,plain,
( heap(sep(lseg(x2,x5),sep(lseg(x2,x15),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f97,f1]) ).
fof(f97,plain,
( heap(sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x15),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f96,f1]) ).
fof(f96,plain,
( heap(sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x2,x15),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f95,f1]) ).
fof(f95,plain,
( heap(sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x2,x15),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f94,f1]) ).
fof(f94,plain,
( heap(sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x2,x15),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f93,f1]) ).
fof(f93,plain,
( heap(sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x2,x15),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f92,f1]) ).
fof(f92,plain,
( heap(sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x2,x15),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp)))))))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f91,f2]) ).
fof(f91,plain,
( heap(sep(lseg(x2,x2),sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x2,x15),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp))))))))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f87,f1]) ).
fof(f87,plain,
( heap(sep(lseg(x2,x5),sep(lseg(x2,x2),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x2,x15),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),emp))))))))))))))
| ~ spl0_2 ),
inference(backward_demodulation,[],[f76,f85]) ).
fof(f106,plain,
( x15 != x2
| ~ spl0_1 ),
inference(backward_demodulation,[],[f33,f81]) ).
fof(f104,plain,
( spl0_1
| spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f99,f83,f101,f79]) ).
fof(f99,plain,
( x15 = x2
| x5 = x2
| ~ spl0_2 ),
inference(resolution,[],[f98,f7]) ).
fof(f86,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f77,f83,f79]) ).
fof(f77,plain,
( x18 = x2
| x5 = x2 ),
inference(resolution,[],[f76,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW443-1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun Aug 27 20:43:22 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.pl5ftFFX75/Vampire---4.8_21113
% 0.15/0.36 % (21362)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.43 % (21371)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.21/0.43 % (21375)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.21/0.43 % (21378)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.21/0.43 % (21377)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.21/0.43 % (21373)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.21/0.43 % (21372)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.21/0.43 % (21374)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.21/0.44 % (21374)First to succeed.
% 0.21/0.44 % (21374)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Unsatisfiable for Vampire---4
% 0.21/0.44 % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.44 % (21374)------------------------------
% 0.21/0.44 % (21374)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.44 % (21374)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.44 % (21374)Termination reason: Refutation
% 0.21/0.44
% 0.21/0.44 % (21374)Memory used [KB]: 10362
% 0.21/0.44 % (21374)Time elapsed: 0.017 s
% 0.21/0.44 % (21374)------------------------------
% 0.21/0.44 % (21374)------------------------------
% 0.21/0.44 % (21362)Success in time 0.079 s
% 0.21/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------