%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW427-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:30:19 PM UTC 2026
% Result : Unsatisfiable 4.57s 1.33s
% Output : Refutation 5.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 11
% Syntax : Number of formulae : 96 ( 38 unt; 5 def)
% Number of atoms : 211 ( 32 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 217 ( 102 ~; 110 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associative_commutative) ).
fof(f2,axiom,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',normalization) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3)))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wellformedness_5) ).
fof(f14,axiom,
x1 != x11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).
fof(f24,axiom,
x7 != x9,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_8) ).
fof(f25,plain,
x9 != x7,
inference(reorient_equations,[],[f24]) ).
fof(f28,axiom,
heap(sep(lseg(x10,x1),sep(lseg(x9,x2),sep(lseg(x9,x7),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_10) ).
fof(f30,plain,
heap(sep(lseg(x9,x2),sep(lseg(x10,x1),sep(lseg(x9,x7),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[],[f28,f1]) ).
fof(f31,plain,
heap(sep(lseg(x9,x2),sep(lseg(x9,x7),sep(lseg(x10,x1),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[],[f30,f1]) ).
fof(f32,plain,
heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x10,x1),sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[],[f31,f1]) ).
fof(f33,plain,
heap(sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x7,x10),sep(lseg(x10,x1),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[],[f32,f1]) ).
fof(f34,plain,
heap(sep(lseg(x9,x7),sep(lseg(x7,x10),sep(lseg(x9,x2),sep(lseg(x10,x1),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[],[f33,f1]) ).
fof(f35,plain,
heap(sep(lseg(x7,x10),sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x10,x1),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[],[f34,f1]) ).
fof(f36,plain,
heap(sep(lseg(x7,x10),sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x9),sep(lseg(x10,x1),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[],[f35,f1]) ).
fof(f37,plain,
heap(sep(lseg(x7,x10),sep(lseg(x9,x7),sep(lseg(x11,x9),sep(lseg(x9,x2),sep(lseg(x10,x1),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[],[f36,f1]) ).
fof(f38,plain,
heap(sep(lseg(x7,x10),sep(lseg(x11,x9),sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x10,x1),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[],[f37,f1]) ).
fof(f39,plain,
heap(sep(lseg(x11,x9),sep(lseg(x7,x10),sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x10,x1),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[],[f38,f1]) ).
fof(f40,plain,
heap(sep(lseg(x11,x9),sep(lseg(x7,x10),sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x7),sep(lseg(x10,x1),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[],[f39,f1]) ).
fof(f41,plain,
heap(sep(lseg(x11,x9),sep(lseg(x7,x10),sep(lseg(x9,x7),sep(lseg(x11,x7),sep(lseg(x9,x2),sep(lseg(x10,x1),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[],[f40,f1]) ).
fof(f42,plain,
heap(sep(lseg(x11,x9),sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x10,x1),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[],[f41,f1]) ).
fof(f43,plain,
heap(sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x7,x10),sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x10,x1),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[],[f42,f1]) ).
fof(f44,plain,
heap(sep(lseg(x11,x7),sep(lseg(x11,x9),sep(lseg(x7,x10),sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x10,x1),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[],[f43,f1]) ).
fof(f45,plain,
heap(sep(lseg(x11,x7),sep(lseg(x11,x9),sep(lseg(x7,x10),sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x3),sep(lseg(x10,x1),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[],[f44,f1]) ).
fof(f46,plain,
heap(sep(lseg(x11,x7),sep(lseg(x11,x9),sep(lseg(x7,x10),sep(lseg(x9,x7),sep(lseg(x11,x3),sep(lseg(x9,x2),sep(lseg(x10,x1),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[],[f45,f1]) ).
fof(f47,plain,
heap(sep(lseg(x11,x7),sep(lseg(x11,x9),sep(lseg(x7,x10),sep(lseg(x11,x3),sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x10,x1),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[],[f46,f1]) ).
fof(f48,plain,
heap(sep(lseg(x11,x7),sep(lseg(x11,x9),sep(lseg(x11,x3),sep(lseg(x7,x10),sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x10,x1),sep(lseg(x11,x6),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[],[f47,f1]) ).
fof(f49,plain,
heap(sep(lseg(x11,x7),sep(lseg(x11,x9),sep(lseg(x11,x3),sep(lseg(x7,x10),sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x11,x6),sep(lseg(x10,x1),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[],[f48,f1]) ).
fof(f50,plain,
heap(sep(lseg(x11,x7),sep(lseg(x11,x9),sep(lseg(x11,x3),sep(lseg(x7,x10),sep(lseg(x9,x7),sep(lseg(x11,x6),sep(lseg(x9,x2),sep(lseg(x10,x1),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[],[f49,f1]) ).
fof(f51,plain,
heap(sep(lseg(x11,x7),sep(lseg(x11,x9),sep(lseg(x11,x3),sep(lseg(x7,x10),sep(lseg(x11,x6),sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x10,x1),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[],[f50,f1]) ).
fof(f52,plain,
heap(sep(lseg(x11,x7),sep(lseg(x11,x9),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x7,x10),sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x10,x1),sep(lseg(x4,x5),emp)))))))))),
inference(forward_demodulation,[],[f51,f1]) ).
fof(f53,plain,
heap(sep(lseg(x11,x7),sep(lseg(x11,x9),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x7,x10),sep(lseg(x9,x7),sep(lseg(x9,x2),sep(lseg(x4,x5),sep(lseg(x10,x1),emp)))))))))),
inference(forward_demodulation,[],[f52,f1]) ).
fof(f54,plain,
( x11 = x7
| x9 = x11 ),
inference(resolution,[],[f53,f8]) ).
fof(f56,definition,
( spl0_1
<=> x9 = x11 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f57,plain,
( x9 = x11
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f59,definition,
( spl0_2
<=> x11 = x7 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f60,plain,
( x11 = x7
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f61,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f54,f59,f56]) ).
fof(f62,plain,
( heap(sep(lseg(x11,x11),sep(lseg(x11,x9),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x11,x10),sep(lseg(x9,x11),sep(lseg(x9,x2),sep(lseg(x4,x5),sep(lseg(x10,x1),emp))))))))))
| ~ spl0_2 ),
inference(superposition,[],[f53,f60]) ).
fof(f63,plain,
( heap(sep(lseg(x11,x9),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x11,x10),sep(lseg(x9,x11),sep(lseg(x9,x2),sep(lseg(x4,x5),sep(lseg(x10,x1),emp)))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f62,f2]) ).
fof(f64,plain,
( heap(sep(lseg(x11,x9),sep(lseg(x11,x3),sep(lseg(x11,x10),sep(lseg(x11,x6),sep(lseg(x9,x11),sep(lseg(x9,x2),sep(lseg(x4,x5),sep(lseg(x10,x1),emp)))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f63,f1]) ).
fof(f65,plain,
( x9 = x11
| x11 = x3
| ~ spl0_2 ),
inference(resolution,[],[f64,f8]) ).
fof(f67,definition,
( spl0_3
<=> x11 = x3 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f68,plain,
( x11 = x3
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f69,plain,
( spl0_3
| spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f65,f59,f56,f67]) ).
fof(f71,plain,
( heap(sep(lseg(x11,x7),sep(lseg(x11,x11),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x11,x2),sep(lseg(x4,x5),sep(lseg(x10,x1),emp))))))))))
| ~ spl0_1 ),
inference(superposition,[],[f53,f57]) ).
fof(f72,plain,
( x11 != x7
| ~ spl0_1 ),
inference(superposition,[],[f25,f57]) ).
fof(f75,plain,
( heap(sep(lseg(x11,x11),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x11,x2),sep(lseg(x4,x5),sep(lseg(x10,x1),emp))))))))))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f71,f1]) ).
fof(f77,plain,
( heap(sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x7,x10),sep(lseg(x11,x7),sep(lseg(x11,x2),sep(lseg(x4,x5),sep(lseg(x10,x1),emp)))))))))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f75,f2]) ).
fof(f79,plain,
( heap(sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x11,x7),sep(lseg(x7,x10),sep(lseg(x11,x2),sep(lseg(x4,x5),sep(lseg(x10,x1),emp)))))))))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f77,f1]) ).
fof(f81,plain,
( heap(sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x7),sep(lseg(x11,x6),sep(lseg(x7,x10),sep(lseg(x11,x2),sep(lseg(x4,x5),sep(lseg(x10,x1),emp)))))))))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f79,f1]) ).
fof(f83,plain,
( heap(sep(lseg(x11,x7),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x7,x10),sep(lseg(x11,x2),sep(lseg(x4,x5),sep(lseg(x10,x1),emp)))))))))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f81,f1]) ).
fof(f85,plain,
( heap(sep(lseg(x11,x7),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x11,x2),sep(lseg(x7,x10),sep(lseg(x4,x5),sep(lseg(x10,x1),emp)))))))))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f83,f1]) ).
fof(f87,plain,
( heap(sep(lseg(x11,x7),sep(lseg(x11,x7),sep(lseg(x11,x3),sep(lseg(x11,x2),sep(lseg(x11,x6),sep(lseg(x7,x10),sep(lseg(x4,x5),sep(lseg(x10,x1),emp)))))))))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f85,f1]) ).
fof(f93,plain,
( x11 = x7
| x11 = x7
| ~ spl0_1 ),
inference(resolution,[],[f87,f8]) ).
fof(f94,plain,
( x11 = x7
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f93]) ).
fof(f95,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f94,f72]) ).
fof(f96,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f95]) ).
fof(f97,plain,
( heap(sep(lseg(x11,x11),sep(lseg(x11,x9),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x11,x10),sep(lseg(x9,x11),sep(lseg(x9,x2),sep(lseg(x4,x5),sep(lseg(x10,x1),emp))))))))))
| ~ spl0_2 ),
inference(superposition,[],[f53,f60]) ).
fof(f98,plain,
( heap(sep(lseg(x11,x9),sep(lseg(x11,x3),sep(lseg(x11,x6),sep(lseg(x11,x10),sep(lseg(x9,x11),sep(lseg(x9,x2),sep(lseg(x4,x5),sep(lseg(x10,x1),emp)))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f97,f2]) ).
fof(f99,plain,
( heap(sep(lseg(x11,x9),sep(lseg(x11,x3),sep(lseg(x11,x10),sep(lseg(x11,x6),sep(lseg(x9,x11),sep(lseg(x9,x2),sep(lseg(x4,x5),sep(lseg(x10,x1),emp)))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f98,f1]) ).
fof(f109,plain,
( heap(sep(lseg(x11,x9),sep(lseg(x11,x11),sep(lseg(x11,x10),sep(lseg(x11,x6),sep(lseg(x9,x11),sep(lseg(x9,x2),sep(lseg(x4,x5),sep(lseg(x10,x1),emp)))))))))
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f99,f68]) ).
fof(f110,plain,
( heap(sep(lseg(x11,x11),sep(lseg(x11,x9),sep(lseg(x11,x10),sep(lseg(x11,x6),sep(lseg(x9,x11),sep(lseg(x9,x2),sep(lseg(x4,x5),sep(lseg(x10,x1),emp)))))))))
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f109,f1]) ).
fof(f111,plain,
( heap(sep(lseg(x11,x9),sep(lseg(x11,x10),sep(lseg(x11,x6),sep(lseg(x9,x11),sep(lseg(x9,x2),sep(lseg(x4,x5),sep(lseg(x10,x1),emp))))))))
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f110,f2]) ).
fof(f112,plain,
( x9 = x11
| x11 = x10
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f111,f8]) ).
fof(f114,definition,
( spl0_4
<=> x11 = x10 ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f115,plain,
( x11 = x10
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f116,plain,
( spl0_4
| spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f112,f67,f59,f56,f114]) ).
fof(f117,plain,
( heap(sep(lseg(x11,x9),sep(lseg(x11,x11),sep(lseg(x11,x6),sep(lseg(x9,x11),sep(lseg(x9,x2),sep(lseg(x4,x5),sep(lseg(x11,x1),emp))))))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f111,f115]) ).
fof(f120,plain,
( heap(sep(lseg(x11,x11),sep(lseg(x11,x9),sep(lseg(x11,x6),sep(lseg(x9,x11),sep(lseg(x9,x2),sep(lseg(x4,x5),sep(lseg(x11,x1),emp))))))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f117,f1]) ).
fof(f122,plain,
( heap(sep(lseg(x11,x9),sep(lseg(x11,x6),sep(lseg(x9,x11),sep(lseg(x9,x2),sep(lseg(x4,x5),sep(lseg(x11,x1),emp)))))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f120,f2]) ).
fof(f124,plain,
( heap(sep(lseg(x11,x9),sep(lseg(x11,x6),sep(lseg(x9,x11),sep(lseg(x9,x2),sep(lseg(x11,x1),sep(lseg(x4,x5),emp)))))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f122,f1]) ).
fof(f126,plain,
( heap(sep(lseg(x11,x9),sep(lseg(x11,x6),sep(lseg(x9,x11),sep(lseg(x11,x1),sep(lseg(x9,x2),sep(lseg(x4,x5),emp)))))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f124,f1]) ).
fof(f128,plain,
( heap(sep(lseg(x11,x9),sep(lseg(x11,x6),sep(lseg(x11,x1),sep(lseg(x9,x11),sep(lseg(x9,x2),sep(lseg(x4,x5),emp)))))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f126,f1]) ).
fof(f138,plain,
( x9 = x11
| x11 = x6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(resolution,[],[f128,f8]) ).
fof(f140,definition,
( spl0_5
<=> x11 = x6 ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f141,plain,
( x11 = x6
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f142,plain,
( spl0_5
| spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f138,f114,f67,f59,f56,f140]) ).
fof(f143,plain,
( heap(sep(lseg(x11,x9),sep(lseg(x11,x11),sep(lseg(x11,x1),sep(lseg(x9,x11),sep(lseg(x9,x2),sep(lseg(x4,x5),emp)))))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f128,f141]) ).
fof(f148,plain,
( heap(sep(lseg(x11,x11),sep(lseg(x11,x9),sep(lseg(x11,x1),sep(lseg(x9,x11),sep(lseg(x9,x2),sep(lseg(x4,x5),emp)))))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f143,f1]) ).
fof(f151,plain,
( heap(sep(lseg(x11,x9),sep(lseg(x11,x1),sep(lseg(x9,x11),sep(lseg(x9,x2),sep(lseg(x4,x5),emp))))))
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f148,f2]) ).
fof(f175,plain,
( x9 = x11
| x1 = x11
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f151,f8]) ).
fof(f176,plain,
( x9 = x11
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f175,f14]) ).
fof(f177,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f176,f140,f114,f67,f59,f56]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f61]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f69]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f96]) ).
cnf(s5,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f116]) ).
cnf(s6,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f142]) ).
cnf(s7,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f177]) ).
cnf(s8,plain,
( ~ spl0_2
| spl0_3 ),
inference(rat,[],[s2,s4]) ).
cnf(s9,plain,
spl0_2,
inference(rat,[],[s1,s4]) ).
cnf(s10,plain,
spl0_3,
inference(rat,[],[s8,s9]) ).
cnf(s11,plain,
spl0_4,
inference(rat,[],[s5,s9,s4,s10]) ).
cnf(s12,plain,
~ spl0_5,
inference(rat,[],[s7,s10,s9,s4,s11]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s6,s10,s9,s4,s12,s11]) ).
fof(f178,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW427-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n019.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 13:52:33 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.57/1.33 % (4011448)Input is clausal, will run a generic CNF schedule.
% 4.57/1.33 % (4011455)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=527819958:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.57/1.33 % (4011453)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1580777133:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.57/1.33 % (4011454)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1528227501:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.57/1.33 % (4011459)dis-21_1_sil=8000:lcm=predicate:random_seed=992399854:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 4.57/1.33 % (4011457)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1346646170:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.57/1.33 % (4011456)lrs+10_1_sil=8000:sp=occurrence:random_seed=1904371444:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.57/1.33 % (4011458)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3133091450:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.57/1.33 % (4011459)Refutation not found, incomplete strategy
% 4.57/1.33 % (4011459)------------------------------
% 4.57/1.33 % (4011459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.33 % (4011459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.33 % (4011459)CaDiCaL version: 2.1.3
% 4.57/1.33 % (4011459)Termination reason: Refutation not found, incomplete strategy
% 4.57/1.33 % (4011459)Time elapsed: 0.005 s
% 4.57/1.33 % (4011459)Peak memory usage: 88 MB
% 4.57/1.33 % (4011459)Instructions burned: 7 (million)
% 4.57/1.33 % (4011456)Instruction limit reached!
% 4.57/1.33 % (4011456)------------------------------
% 4.57/1.33 % (4011456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.33 % (4011456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.33 % (4011456)CaDiCaL version: 2.1.3
% 4.57/1.33 % (4011456)Termination reason: Instruction limit
% 4.57/1.33 % (4011456)Termination phase: Saturation
% 4.57/1.33 % (4011456)Time elapsed: 0.056 s
% 4.57/1.33 % (4011456)Peak memory usage: 88 MB
% 4.57/1.33 % (4011456)Instructions burned: 109 (million)
% 4.57/1.33 % (4011457)Instruction limit reached!
% 4.57/1.33 % (4011457)------------------------------
% 4.57/1.33 % (4011457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.33 % (4011457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.33 % (4011457)CaDiCaL version: 2.1.3
% 4.57/1.33 % (4011457)Termination reason: Instruction limit
% 4.57/1.33 % (4011457)Termination phase: Saturation
% 4.57/1.33 % (4011457)Time elapsed: 0.065 s
% 4.57/1.33 % (4011457)Peak memory usage: 88 MB
% 4.57/1.33 % (4011457)Instructions burned: 114 (million)
% 4.57/1.33 % (4011458)Instruction limit reached!
% 4.57/1.33 % (4011458)------------------------------
% 4.57/1.33 % (4011458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.33 % (4011458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.33 % (4011458)CaDiCaL version: 2.1.3
% 4.57/1.33 % (4011458)Termination reason: Instruction limit
% 4.57/1.33 % (4011458)Termination phase: Saturation
% 4.57/1.33 % (4011458)Time elapsed: 0.099 s
% 4.57/1.33 % (4011458)Peak memory usage: 89 MB
% 4.57/1.33 % (4011458)Instructions burned: 181 (million)
% 4.57/1.33 % (4011467)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3601514400:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.57/1.33 % (4011468)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1893599964:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.57/1.33 % (4011467)First to succeed.
% 4.57/1.33 % (4011467)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4011448"
% 4.57/1.33 % (4011459)------------------------------
% 4.57/1.33 % (4011459)------------------------------
% 4.57/1.33 % (4011469)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1513866072:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.57/1.33 % (4011469)Refutation not found, incomplete strategy
% 4.57/1.33 % (4011469)------------------------------
% 4.57/1.33 % (4011469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.33 % (4011469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.33 % (4011469)CaDiCaL version: 2.1.3
% 4.57/1.33 % (4011469)Termination reason: Refutation not found, incomplete strategy
% 4.57/1.33 % (4011469)Time elapsed: 0.003 s
% 4.57/1.33 % (4011469)Peak memory usage: 88 MB
% 4.57/1.33 % (4011469)Instructions burned: 3 (million)
% 4.57/1.33 % (4011468)Instruction limit reached!
% 4.57/1.33 % (4011468)------------------------------
% 4.57/1.33 % (4011468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.57/1.33 % (4011468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.57/1.33 % (4011468)CaDiCaL version: 2.1.3
% 4.57/1.33 % (4011468)Termination reason: Instruction limit
% 4.57/1.33 % (4011468)Termination phase: Saturation
% 4.57/1.33 % (4011468)Time elapsed: 0.114 s
% 4.57/1.33 % (4011468)Peak memory usage: 90 MB
% 4.57/1.33 % (4011468)Instructions burned: 190 (million)
% 4.57/1.33 % (4011472)lrs+10_64_to=lpo:sil=8000:random_seed=686487956:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 4.57/1.33 % (4011467)Refutation found. Thanks to Tanya!
% 4.57/1.33 % SZS status Unsatisfiable for theBenchmark
% 4.57/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 5.30/1.54 % (4011467)------------------------------
% 5.30/1.54 % (4011467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.30/1.54 % (4011467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.30/1.54 % (4011467)CaDiCaL version: 2.1.3
% 5.30/1.54 % (4011467)Termination reason: Refutation
% 5.30/1.54 % (4011467)Time elapsed: 0.008 s
% 5.30/1.54 % (4011467)Peak memory usage: 89 MB
% 5.30/1.54 % (4011467)Instructions burned: 11 (million)
% 5.30/1.54 % (4011467)------------------------------
% 5.30/1.54 % (4011467)------------------------------
% 5.30/1.54 % (4011448)Success in time 0.657 s
% 5.30/1.54 % Vampire exiting
%------------------------------------------------------------------------------