TSTP Solution File: SWW443-1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW443-1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n006.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 : Mon Jun 24 18:32:31 EDT 2024
% Result : Unsatisfiable 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 75
% Number of leaves : 6
% Syntax : Number of formulae : 82 ( 61 unt; 0 def)
% Number of atoms : 107 ( 40 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 4 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 1 avg)
% Maximal term depth : 15 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 15 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f120,plain,
$false,
inference(subsumption_resolution,[],[f119,f102]) ).
fof(f102,plain,
x15 != x2,
inference(backward_demodulation,[],[f33,f99]) ).
fof(f99,plain,
x5 = x2,
inference(subsumption_resolution,[],[f98,f19]) ).
fof(f19,axiom,
x2 != x8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f98,plain,
( x5 = x2
| x2 = x8 ),
inference(duplicate_literal_removal,[],[f97]) ).
fof(f97,plain,
( x5 = x2
| x2 = x8
| x5 = x2 ),
inference(resolution,[],[f96,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/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f96,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))))))))))))
| x5 = x2 ),
inference(forward_demodulation,[],[f95,f2]) ).
fof(f2,axiom,
! [X2,X3] : sep(lseg(X3,X3),X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f95,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)))))))))))))
| x5 = x2 ),
inference(forward_demodulation,[],[f94,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f94,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)))))))))))))
| x5 = x2 ),
inference(duplicate_literal_removal,[],[f89]) ).
fof(f89,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)))))))))))))
| x5 = x2
| x5 = x2 ),
inference(superposition,[],[f86,f88]) ).
fof(f88,plain,
( x15 = x2
| x5 = x2 ),
inference(duplicate_literal_removal,[],[f87]) ).
fof(f87,plain,
( x5 = x2
| x15 = x2
| x5 = x2 ),
inference(resolution,[],[f86,f7]) ).
fof(f86,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)))))))))))))
| x5 = x2 ),
inference(forward_demodulation,[],[f85,f1]) ).
fof(f85,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)))))))))))))
| x5 = x2 ),
inference(forward_demodulation,[],[f84,f1]) ).
fof(f84,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)))))))))))))
| x5 = x2 ),
inference(forward_demodulation,[],[f83,f1]) ).
fof(f83,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)))))))))))))
| x5 = x2 ),
inference(forward_demodulation,[],[f82,f1]) ).
fof(f82,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)))))))))))))
| x5 = x2 ),
inference(forward_demodulation,[],[f81,f1]) ).
fof(f81,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)))))))))))))
| x5 = x2 ),
inference(forward_demodulation,[],[f80,f1]) ).
fof(f80,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)))))))))))))
| x5 = x2 ),
inference(forward_demodulation,[],[f79,f2]) ).
fof(f79,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))))))))))))))
| x5 = x2 ),
inference(forward_demodulation,[],[f78,f1]) ).
fof(f78,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))))))))))))))
| x5 = x2 ),
inference(superposition,[],[f76,f77]) ).
fof(f77,plain,
( x18 = x2
| x5 = x2 ),
inference(resolution,[],[f76,f7]) ).
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/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f33,axiom,
x15 != x5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f119,plain,
x15 = x2,
inference(subsumption_resolution,[],[f118,f19]) ).
fof(f118,plain,
( x2 = x8
| x15 = x2 ),
inference(resolution,[],[f117,f7]) ).
fof(f117,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)))))))))))),
inference(forward_demodulation,[],[f116,f1]) ).
fof(f116,plain,
heap(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,x2),sep(lseg(x12,x13),sep(lseg(x7,x2),sep(lseg(x10,x1),emp)))))))))))),
inference(forward_demodulation,[],[f115,f1]) ).
fof(f115,plain,
heap(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,x2),sep(lseg(x12,x13),sep(lseg(x7,x2),sep(lseg(x10,x1),emp)))))))))))),
inference(forward_demodulation,[],[f114,f1]) ).
fof(f114,plain,
heap(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,x2),sep(lseg(x12,x13),sep(lseg(x7,x2),sep(lseg(x10,x1),emp)))))))))))),
inference(forward_demodulation,[],[f113,f1]) ).
fof(f113,plain,
heap(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,x2),sep(lseg(x12,x13),sep(lseg(x7,x2),sep(lseg(x10,x1),emp)))))))))))),
inference(forward_demodulation,[],[f112,f1]) ).
fof(f112,plain,
heap(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,x2),sep(lseg(x12,x13),sep(lseg(x7,x2),sep(lseg(x10,x1),emp)))))))))))),
inference(forward_demodulation,[],[f111,f1]) ).
fof(f111,plain,
heap(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,x2),sep(lseg(x12,x13),sep(lseg(x7,x2),sep(lseg(x10,x1),emp)))))))))))),
inference(forward_demodulation,[],[f107,f2]) ).
fof(f107,plain,
heap(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,x2),sep(lseg(x12,x13),sep(lseg(x7,x2),sep(lseg(x10,x1),emp))))))))))))),
inference(backward_demodulation,[],[f104,f106]) ).
fof(f106,plain,
x18 = x2,
inference(subsumption_resolution,[],[f105,f19]) ).
fof(f105,plain,
( x2 = x8
| x18 = x2 ),
inference(resolution,[],[f104,f7]) ).
fof(f104,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))))))))))))),
inference(forward_demodulation,[],[f103,f2]) ).
fof(f103,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)))))))))))))),
inference(backward_demodulation,[],[f76,f99]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW443-1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.12 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jun 19 07:25:39 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.13/0.36 Running first-order theorem proving
% 0.13/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.43 % (29000)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (29006)dis+1011_1:99_anc=none:fde=unused:plsqc=2:bsd=on:plsq=on:plsqr=109,504:sp=reverse_frequency:spb=intro:rp=on:alpa=random:s2a=on:i=257151:s2at=-1.0:aac=none:nm=16:rawr=on:sil=256000:acc=model_0 on theBenchmark for (2999ds/257151Mi)
% 0.22/0.43 % (29000)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (29010)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=117:bd=off_0 on theBenchmark for (2999ds/117Mi)
% 0.22/0.43 % (29000)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (29009)ott-1011_16:1_sil=2000:sp=const_max:urr=on:lsd=20:st=3.0:i=117:ss=axioms:gsp=on:rp=on:sos=on:fd=off:aac=none_0 on theBenchmark for (2999ds/117Mi)
% 0.22/0.43 % (29000)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (29007)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=109:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2999ds/109Mi)
% 0.22/0.43 % (29000)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (29004)ott+4_40_av=off:bce=on:fsd=off:fde=unused:nm=4:nwc=1.1:sos=all:sp=frequency:i=69040_0 on theBenchmark for (2999ds/69040Mi)
% 0.22/0.43 % (29000)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (29005)lrs+1011_8:1_sil=128000:tgt=ground:fde=unused:sp=frequency:nwc=5.0:lwlo=on:i=105338:awrs=converge:awrsf=1385:av=off_0 on theBenchmark for (2999ds/105338Mi)
% 0.22/0.43 % (29000)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (29008)lrs-1011_37821:262144_bsr=unit_only:sil=2000:fde=none:plsq=on:plsqr=43543,131072:bce=on:rnwc=on:plsql=on:rp=on:nwc=10.0:newcnf=on:i=109:awrs=decay:awrsf=10:ep=R:mep=off:amm=sco_0 on theBenchmark for (2999ds/109Mi)
% 0.22/0.44 % (29008)Refutation not found, incomplete strategy% (29008)------------------------------
% 0.22/0.44 % (29008)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.44 % (29008)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.44 % (29008)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.44
% 0.22/0.44 % (29008)Memory used [KB]: 1163
% 0.22/0.44 % (29008)Time elapsed: 0.003 s
% 0.22/0.44 % (29008)Instructions burned: 4 (million)
% 0.22/0.44 % (29004)First to succeed.
% 0.22/0.44 % (29008)------------------------------
% 0.22/0.44 % (29008)------------------------------
% 0.22/0.44 % (29004)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29000"
% 0.22/0.44 % (29000)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (29004)Refutation found. Thanks to Tanya!
% 0.22/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.44 % (29004)------------------------------
% 0.22/0.44 % (29004)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.44 % (29004)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.44 % (29004)Termination reason: Refutation
% 0.22/0.44
% 0.22/0.44 % (29004)Memory used [KB]: 1262
% 0.22/0.44 % (29004)Time elapsed: 0.014 s
% 0.22/0.44 % (29004)Instructions burned: 24 (million)
% 0.22/0.44 % (29004)------------------------------
% 0.22/0.44 % (29004)------------------------------
% 0.22/0.44 % (29000)Success in time 0.075 s
%------------------------------------------------------------------------------