%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW443-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 01:30:21 PM UTC 2026
% Result : Unsatisfiable 3.06s 1.11s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 66
% Number of leaves : 9
% Syntax : Number of formulae : 101 ( 58 unt; 3 def)
% Number of atoms : 163 ( 28 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 121 ( 59 ~; 59 |; 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 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_commutative) ).
fof(f2,axiom,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',wellformedness_5) ).
fof(f21,axiom,
x2 != x8,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_8) ).
fof(f43,axiom,
x5 != x15,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_22) ).
fof(f44,plain,
x15 != x5,
inference(reorient_equations,[],[f43]) ).
fof(f45,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/benchmark/theBenchmark.p',premise_23) ).
fof(f47,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,[],[f45,f1]) ).
fof(f48,plain,
heap(sep(lseg(x18,x15),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x12,x13),sep(lseg(x1,x3),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,[],[f47,f1]) ).
fof(f49,plain,
heap(sep(lseg(x18,x15),sep(lseg(x10,x1),sep(lseg(x12,x13),sep(lseg(x1,x14),sep(lseg(x1,x3),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,[],[f48,f1]) ).
fof(f50,plain,
heap(sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),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,[],[f49,f1]) ).
fof(f51,plain,
heap(sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x2,x5),sep(lseg(x1,x3),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,[],[f50,f1]) ).
fof(f52,plain,
heap(sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x2,x5),sep(lseg(x1,x14),sep(lseg(x1,x3),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,[],[f51,f1]) ).
fof(f53,plain,
heap(sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x2,x5),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),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,[],[f52,f1]) ).
fof(f54,plain,
heap(sep(lseg(x18,x15),sep(lseg(x2,x5),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),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,[],[f53,f1]) ).
fof(f55,plain,
heap(sep(lseg(x2,x5),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),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,[],[f54,f1]) ).
fof(f56,plain,
heap(sep(lseg(x2,x5),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x2,x12),sep(lseg(x1,x3),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,[],[f55,f1]) ).
fof(f57,plain,
heap(sep(lseg(x2,x5),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x2,x12),sep(lseg(x1,x14),sep(lseg(x1,x3),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,[],[f56,f1]) ).
fof(f58,plain,
heap(sep(lseg(x2,x5),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x2,x12),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),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,[],[f57,f1]) ).
fof(f59,plain,
heap(sep(lseg(x2,x5),sep(lseg(x18,x15),sep(lseg(x2,x12),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),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,[],[f58,f1]) ).
fof(f60,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),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,[],[f59,f1]) ).
fof(f61,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x2,x18),sep(lseg(x1,x3),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f60,f1]) ).
fof(f62,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x2,x18),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f61,f1]) ).
fof(f63,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x2,x18),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f62,f1]) ).
fof(f64,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x2,x18),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f63,f1]) ).
fof(f65,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x12),sep(lseg(x2,x18),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f64,f1]) ).
fof(f66,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x2,x8),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f65,f1]) ).
fof(f67,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x2,x8),sep(lseg(x1,x3),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f66,f1]) ).
fof(f68,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x2,x8),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f67,f1]) ).
fof(f69,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x2,x8),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f68,f1]) ).
fof(f70,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x2,x8),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f69,f1]) ).
fof(f71,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x12),sep(lseg(x2,x8),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f70,f1]) ).
fof(f72,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x9,x5),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f71,f1]) ).
fof(f73,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x9,x5),sep(lseg(x1,x3),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f72,f1]) ).
fof(f74,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x9,x5),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f73,f1]) ).
fof(f75,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x12,x13),sep(lseg(x9,x5),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f74,f1]) ).
fof(f76,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x7,x5),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f75,f1]) ).
fof(f77,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x7,x5),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f76,f1]) ).
fof(f78,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x10,x1),sep(lseg(x7,x5),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f77,f1]) ).
fof(f79,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x9),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f78,f1]) ).
fof(f80,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x18,x15),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x11,x9),sep(lseg(x1,x3),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f79,f1]) ).
fof(f81,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),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(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f80,f1]) ).
fof(f82,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),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(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f81,f1]) ).
fof(f83,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),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(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f82,f1]) ).
fof(f84,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),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(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f83,f1]) ).
fof(f85,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),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(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f84,f1]) ).
fof(f86,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),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(x1,x14),sep(lseg(x1,x3),sep(lseg(x11,x7),emp)))))))))))))),
inference(forward_demodulation,[],[f85,f1]) ).
fof(f87,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),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(x1,x14),sep(lseg(x11,x7),sep(lseg(x1,x3),emp)))))))))))))),
inference(forward_demodulation,[],[f86,f1]) ).
fof(f88,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),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),sep(lseg(x1,x14),sep(lseg(x1,x3),emp)))))))))))))),
inference(forward_demodulation,[],[f87,f1]) ).
fof(f89,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),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),sep(lseg(x1,x14),sep(lseg(x1,x3),emp)))))))))))))),
inference(forward_demodulation,[],[f88,f1]) ).
fof(f90,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),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),sep(lseg(x1,x14),sep(lseg(x1,x3),emp)))))))))))))),
inference(forward_demodulation,[],[f89,f1]) ).
fof(f91,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),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),sep(lseg(x1,x14),sep(lseg(x1,x3),emp)))))))))))))),
inference(forward_demodulation,[],[f90,f1]) ).
fof(f92,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),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),sep(lseg(x1,x14),sep(lseg(x1,x3),emp)))))))))))))),
inference(forward_demodulation,[],[f91,f1]) ).
fof(f93,plain,
heap(sep(lseg(x2,x5),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),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),sep(lseg(x1,x14),sep(lseg(x1,x3),emp)))))))))))))),
inference(forward_demodulation,[],[f92,f1]) ).
fof(f94,plain,
( x5 = x2
| x18 = x2 ),
inference(resolution,[],[f93,f8]) ).
fof(f96,definition,
( spl0_1
<=> x18 = x2 ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f97,plain,
( x18 = x2
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f99,definition,
( spl0_2
<=> x5 = x2 ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f100,plain,
( x5 = x2
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f101,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f94,f99,f96]) ).
fof(f102,plain,
( heap(sep(lseg(x2,x2),sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),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),sep(lseg(x1,x14),sep(lseg(x1,x3),emp))))))))))))))
| ~ spl0_2 ),
inference(superposition,[],[f93,f100]) ).
fof(f103,plain,
( heap(sep(lseg(x2,x18),sep(lseg(x2,x8),sep(lseg(x2,x12),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),sep(lseg(x1,x14),sep(lseg(x1,x3),emp)))))))))))))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f102,f2]) ).
fof(f104,plain,
( x18 = x2
| x2 = x8
| ~ spl0_2 ),
inference(resolution,[],[f103,f8]) ).
fof(f105,plain,
( x18 = x2
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f104,f21]) ).
fof(f106,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f105,f99,f96]) ).
fof(f108,plain,
( heap(sep(lseg(x2,x5),sep(lseg(x2,x2),sep(lseg(x2,x8),sep(lseg(x2,x12),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),sep(lseg(x1,x14),sep(lseg(x1,x3),emp))))))))))))))
| ~ spl0_1 ),
inference(superposition,[],[f93,f97]) ).
fof(f109,plain,
( heap(sep(lseg(x2,x2),sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x12),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),sep(lseg(x1,x14),sep(lseg(x1,x3),emp))))))))))))))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f108,f1]) ).
fof(f111,plain,
( heap(sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x12),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),sep(lseg(x1,x14),sep(lseg(x1,x3),emp)))))))))))))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f109,f2]) ).
fof(f113,plain,
( heap(sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x12),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),sep(lseg(x1,x14),sep(lseg(x1,x3),emp)))))))))))))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f111,f1]) ).
fof(f115,plain,
( heap(sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x12),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),sep(lseg(x1,x14),sep(lseg(x1,x3),emp)))))))))))))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f113,f1]) ).
fof(f117,plain,
( heap(sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x15),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),emp)))))))))))))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f115,f1]) ).
fof(f119,plain,
( heap(sep(lseg(x2,x5),sep(lseg(x2,x15),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),emp)))))))))))))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f117,f1]) ).
fof(f120,plain,
( heap(sep(lseg(x2,x2),sep(lseg(x2,x15),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x2),sep(lseg(x12,x13),sep(lseg(x7,x2),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),emp)))))))))))))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f119,f100]) ).
fof(f121,plain,
( heap(sep(lseg(x2,x15),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x2),sep(lseg(x12,x13),sep(lseg(x7,x2),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),emp))))))))))))
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f120,f2]) ).
fof(f122,plain,
( x15 = x2
| x2 = x8
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f121,f8]) ).
fof(f123,plain,
( x15 = x2
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f122,f21]) ).
fof(f127,plain,
( x5 != x2
| ~ spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f44,f123]) ).
fof(f129,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f127,f100]) ).
fof(f130,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f129]) ).
fof(f148,plain,
( x5 = x2
| x15 = x2
| ~ spl0_1 ),
inference(resolution,[],[f119,f8]) ).
fof(f150,definition,
( spl0_3
<=> x15 = x2 ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f151,plain,
( x15 = x2
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f152,plain,
( spl0_3
| spl0_2
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f148,f96,f99,f150]) ).
fof(f153,plain,
( heap(sep(lseg(x2,x5),sep(lseg(x2,x2),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),emp)))))))))))))
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f119,f151]) ).
fof(f155,plain,
( x5 != x2
| ~ spl0_3 ),
inference(superposition,[],[f44,f151]) ).
fof(f158,plain,
( heap(sep(lseg(x2,x2),sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),emp)))))))))))))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f153,f1]) ).
fof(f160,plain,
( heap(sep(lseg(x2,x5),sep(lseg(x2,x8),sep(lseg(x2,x12),sep(lseg(x11,x9),sep(lseg(x11,x7),sep(lseg(x9,x5),sep(lseg(x12,x13),sep(lseg(x7,x5),sep(lseg(x10,x1),sep(lseg(x1,x14),sep(lseg(x1,x3),emp))))))))))))
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f158,f2]) ).
fof(f168,plain,
( x5 = x2
| x2 = x8
| ~ spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f160,f8]) ).
fof(f169,plain,
( x2 = x8
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f168,f155]) ).
fof(f170,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f169,f21]) ).
fof(f171,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f170]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f101]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f106]) ).
cnf(s3,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f130]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f152]) ).
cnf(s5,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f171]) ).
cnf(s6,plain,
spl0_1,
inference(rat,[],[s1,s2]) ).
cnf(s7,plain,
~ spl0_3,
inference(rat,[],[s5,s6]) ).
cnf(s8,plain,
spl0_2,
inference(rat,[],[s4,s7,s6]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s3,s8,s6]) ).
fof(f172,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW443-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n017.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 13:51:06 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.06/1.11 % (3559166)Input is clausal, will run a generic CNF schedule.
% 3.06/1.11 % (3559191)lrs+10_1_sil=8000:sp=occurrence:random_seed=673243056:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.06/1.11 % (3559191)Instruction limit reached!
% 3.06/1.11 % (3559191)------------------------------
% 3.06/1.11 % (3559191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.11 % (3559191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.11 % (3559191)CaDiCaL version: 2.1.3
% 3.06/1.11 % (3559191)Termination reason: Instruction limit
% 3.06/1.11 % (3559191)Termination phase: Saturation
% 3.06/1.11 % (3559191)Time elapsed: 0.030 s
% 3.06/1.11 % (3559191)Peak memory usage: 88 MB
% 3.06/1.11 % (3559191)Instructions burned: 108 (million)
% 3.06/1.11 % (3559188)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=2110260213:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.06/1.11 % (3559189)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3173631058:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.06/1.11 % (3559190)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2858548736:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.06/1.11 % (3559193)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2204193837:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.06/1.11 % (3559192)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4006149712:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.06/1.11 % (3559194)dis-21_1_sil=8000:lcm=predicate:random_seed=1218601984: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)
% 3.06/1.11 % (3559194)Refutation not found, incomplete strategy
% 3.06/1.11 % (3559194)------------------------------
% 3.06/1.11 % (3559194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.11 % (3559194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.11 % (3559194)CaDiCaL version: 2.1.3
% 3.06/1.11 % (3559194)Termination reason: Refutation not found, incomplete strategy
% 3.06/1.11 % (3559194)Time elapsed: 0.011 s
% 3.06/1.11 % (3559194)Peak memory usage: 88 MB
% 3.06/1.11 % (3559194)Instructions burned: 17 (million)
% 3.06/1.11 % (3559192)Instruction limit reached!
% 3.06/1.11 % (3559192)------------------------------
% 3.06/1.11 % (3559192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.11 % (3559192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.11 % (3559192)CaDiCaL version: 2.1.3
% 3.06/1.11 % (3559192)Termination reason: Instruction limit
% 3.06/1.11 % (3559192)Termination phase: Saturation
% 3.06/1.11 % (3559192)Time elapsed: 0.066 s
% 3.06/1.11 % (3559192)Peak memory usage: 88 MB
% 3.06/1.11 % (3559192)Instructions burned: 114 (million)
% 3.06/1.11 % (3559196)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=3462236536:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.06/1.11 % (3559196)First to succeed.
% 3.06/1.11 % (3559196)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3559166"
% 3.06/1.11 % (3559193)Instruction limit reached!
% 3.06/1.11 % (3559193)------------------------------
% 3.06/1.11 % (3559193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.06/1.11 % (3559193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.06/1.11 % (3559193)CaDiCaL version: 2.1.3
% 3.06/1.11 % (3559193)Termination reason: Instruction limit
% 3.06/1.11 % (3559193)Termination phase: Saturation
% 3.06/1.11 % (3559193)Time elapsed: 0.108 s
% 3.06/1.11 % (3559193)Peak memory usage: 89 MB
% 3.06/1.11 % (3559193)Instructions burned: 180 (million)
% 3.06/1.11 % (3559203)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=592592989: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)
% 3.06/1.11 % (3559194)------------------------------
% 3.06/1.11 % (3559194)------------------------------
% 3.06/1.11 % (3559196)Refutation found. Thanks to Tanya!
% 3.06/1.11 % SZS status Unsatisfiable for theBenchmark
% 3.06/1.11 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.30 % (3559196)------------------------------
% 0.19/1.30 % (3559196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (3559196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (3559196)CaDiCaL version: 2.1.3
% 0.19/1.30 % (3559196)Termination reason: Refutation
% 0.19/1.30 % (3559196)Time elapsed: 0.005 s
% 0.19/1.30 % (3559196)Peak memory usage: 89 MB
% 0.19/1.30 % (3559196)Instructions burned: 15 (million)
% 0.19/1.30 % (3559196)------------------------------
% 0.19/1.30 % (3559196)------------------------------
% 0.19/1.30 % (3559166)Success in time 0.438 s
% 0.19/1.30 % Vampire exiting
%------------------------------------------------------------------------------