TSTP Solution File: SWW436-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW436-1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 : Tue Apr 30 20:50:15 EDT 2024
% Result : Unsatisfiable 2.76s 0.73s
% Output : CNFRefutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 90
% Number of leaves : 12
% Syntax : Number of formulae : 159 ( 71 unt; 0 def)
% Number of atoms : 286 ( 60 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 233 ( 106 ~; 121 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 18 ( 3 avg)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 14 con; 0-2 aty)
% Number of variables : 91 ( 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [S,T,Sigma] : sep(S,sep(T,Sigma)) = sep(T,sep(S,Sigma)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Sigma] : sep(lseg(X,X),Sigma) = Sigma,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,Z,Sigma] :
( ~ heap(sep(lseg(X,Y),sep(lseg(X,Z),Sigma)))
| X = Y
| X = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
x4 != x6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,hypothesis,
x4 != x7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
heap(sep(lseg(x13,x2),sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,plain,
! [X0,X1,X2] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f23,plain,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f30,plain,
! [X,Z] :
( ! [Y] :
( ! [Sigma] : ~ heap(sep(lseg(X,Y),sep(lseg(X,Z),Sigma)))
| X = Y )
| X = Z ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f31,plain,
! [X0,X1,X2,X3] :
( ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3)))
| X0 = X1
| X0 = X2 ),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f43,plain,
x4 != x6,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f44,plain,
x4 != x7,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f48,plain,
heap(sep(lseg(x13,x2),sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f57,plain,
! [X0,X1,X2,X3] : sep(X0,sep(X1,sep(X2,X3))) = sep(X2,sep(X0,sep(X1,X3))),
inference(paramodulation,[status(thm)],[f22,f22]) ).
fof(f65,plain,
! [X0,X1,X2,X3,X4] :
( ~ heap(sep(lseg(X0,X1),sep(X2,sep(lseg(X0,X3),X4))))
| X0 = X1
| X0 = X3 ),
inference(paramodulation,[status(thm)],[f22,f31]) ).
fof(f71,plain,
! [X0,X1,X2,X3,X4] :
( ~ heap(sep(X0,sep(lseg(X1,X2),sep(lseg(X1,X3),X4))))
| X1 = X2
| X1 = X3 ),
inference(paramodulation,[status(thm)],[f22,f65]) ).
fof(f81,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ heap(sep(X0,sep(lseg(X1,X2),sep(X3,sep(lseg(X1,X4),X5)))))
| X1 = X2
| X1 = X4 ),
inference(paramodulation,[status(thm)],[f22,f71]) ).
fof(f93,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),sep(lseg(X2,X4),X5)))))
| X2 = X3
| X2 = X4 ),
inference(paramodulation,[status(thm)],[f22,f81]) ).
fof(f190,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ heap(sep(X0,sep(X1,sep(lseg(X2,X3),sep(X4,sep(lseg(X2,X5),X6))))))
| X2 = X3
| X2 = X5 ),
inference(paramodulation,[status(thm)],[f22,f93]) ).
fof(f236,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ heap(sep(X0,sep(X1,sep(X2,sep(lseg(X3,X4),sep(lseg(X3,X5),X6))))))
| X3 = X4
| X3 = X5 ),
inference(paramodulation,[status(thm)],[f22,f190]) ).
fof(f254,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ heap(sep(X0,sep(X1,sep(X2,sep(lseg(X3,X4),sep(X5,sep(lseg(X3,X6),X7)))))))
| X3 = X4
| X3 = X6 ),
inference(paramodulation,[status(thm)],[f22,f236]) ).
fof(f313,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ heap(sep(X0,sep(X1,sep(X2,sep(X3,sep(lseg(X4,X5),sep(lseg(X4,X6),X7)))))))
| X4 = X5
| X4 = X6 ),
inference(paramodulation,[status(thm)],[f22,f254]) ).
fof(f334,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ heap(sep(X0,sep(X1,sep(X2,sep(X3,sep(lseg(X4,X5),sep(X6,sep(lseg(X4,X7),X8))))))))
| X4 = X5
| X4 = X7 ),
inference(paramodulation,[status(thm)],[f22,f313]) ).
fof(f572,plain,
! [X0,X1,X2,X3] : sep(X0,sep(X1,sep(X2,X3))) = sep(X0,sep(X2,sep(X1,X3))),
inference(paramodulation,[status(thm)],[f22,f57]) ).
fof(f961,plain,
heap(sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x1,x5),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f48]) ).
fof(f962,plain,
heap(sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f961]) ).
fof(f963,plain,
heap(sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x14,x8),sep(lseg(x8,x15),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f962]) ).
fof(f964,plain,
heap(sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x14,x8),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f963]) ).
fof(f965,plain,
heap(sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x14,x8),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f964]) ).
fof(f966,plain,
heap(sep(lseg(x13,x2),sep(lseg(x14,x8),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f965]) ).
fof(f967,plain,
heap(sep(lseg(x14,x8),sep(lseg(x4,x13),sep(lseg(x13,x2),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f966]) ).
fof(f968,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f967]) ).
fof(f969,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x4,x9),sep(lseg(x1,x5),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f968]) ).
fof(f970,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f969]) ).
fof(f971,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x8,x14),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f970]) ).
fof(f972,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x1),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f971]) ).
fof(f973,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f972]) ).
fof(f974,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x15,x4),sep(lseg(x8,x15),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f973]) ).
fof(f975,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f974]) ).
fof(f976,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x8,x14),sep(lseg(x2,x15),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f975]) ).
fof(f977,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x8,x1),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f976]) ).
fof(f978,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f977]) ).
fof(f979,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x2,x9),sep(lseg(x8,x15),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f978]) ).
fof(f980,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f979]) ).
fof(f981,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x8,x14),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f980]) ).
fof(f982,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f981]) ).
fof(f983,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x9,x6),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f982]) ).
fof(f984,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x9,x6),sep(lseg(x8,x15),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f983]) ).
fof(f985,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f984]) ).
fof(f986,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x8,x14),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f985]) ).
fof(f987,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f986]) ).
fof(f988,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),sep(lseg(x3,x10),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f987]) ).
fof(f989,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x3,x10),sep(lseg(x8,x15),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f988]) ).
fof(f990,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x3,x10),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f989]) ).
fof(f991,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x3,x10),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f990]) ).
fof(f992,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x3,x10),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f991]) ).
fof(f993,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x3,x10),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f992]) ).
fof(f994,plain,
heap(sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x3,x10),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f993]) ).
fof(f995,plain,
heap(sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),sep(lseg(x6,x2),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f994]) ).
fof(f996,plain,
heap(sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x6,x2),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f995]) ).
fof(f997,plain,
heap(sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x6,x2),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f996]) ).
fof(f998,plain,
heap(sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x6,x2),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f997]) ).
fof(f999,plain,
heap(sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x6,x2),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f998]) ).
fof(f1000,plain,
heap(sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x6,x2),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f999]) ).
fof(f1001,plain,
heap(sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x6,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f1000]) ).
fof(f1002,plain,
heap(sep(lseg(x14,x8),sep(lseg(x6,x2),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f1001]) ).
fof(f1003,plain,
heap(sep(lseg(x6,x2),sep(lseg(x3,x10),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f1002]) ).
fof(f1004,plain,
heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x13,x2),sep(lseg(x3,x10),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f1003]) ).
fof(f1005,plain,
heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x4,x13),sep(lseg(x13,x2),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f1004]) ).
fof(f1006,plain,
heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x9),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f1005]) ).
fof(f1007,plain,
heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x4,x9),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f1006]) ).
fof(f1008,plain,
heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f1007]) ).
fof(f1009,plain,
heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x15,x4),sep(lseg(x1,x5),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f1008]) ).
fof(f1010,plain,
heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x2,x15),sep(lseg(x15,x4),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f1009]) ).
fof(f1011,plain,
heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x9),sep(lseg(x2,x15),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f1010]) ).
fof(f1012,plain,
heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x9,x6),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f1011]) ).
fof(f1013,plain,
heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f1012]) ).
fof(f1014,plain,
heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x8,x14),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f1013]) ).
fof(f1015,plain,
heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x14),sep(lseg(x8,x15),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f1014]) ).
fof(f1016,plain,
heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f57,f1015]) ).
fof(f1017,plain,
heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f22,f1016]) ).
fof(f1018,plain,
( spl0_7
<=> x4 = x13 ),
introduced(split_symbol_definition) ).
fof(f1019,plain,
( x4 = x13
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f1018]) ).
fof(f1021,plain,
( spl0_8
<=> x4 = x9 ),
introduced(split_symbol_definition) ).
fof(f1022,plain,
( x4 = x9
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f1021]) ).
fof(f1023,plain,
( x4 != x9
| spl0_8 ),
inference(component_clause,[status(thm)],[f1021]) ).
fof(f1024,plain,
( x4 = x13
| x4 = x9 ),
inference(resolution,[status(thm)],[f1017,f313]) ).
fof(f1025,plain,
( spl0_7
| spl0_8 ),
inference(split_clause,[status(thm)],[f1024,f1018,f1021]) ).
fof(f1044,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x13),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp)))))))))))))))))
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f1019,f1017]) ).
fof(f1045,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x13,x13),sep(lseg(x4,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x13),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp)))))))))))))))))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f1019,f1044]) ).
fof(f1046,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x13),sep(lseg(x4,x9),sep(lseg(x13,x2),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x13),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp)))))))))))))))))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f57,f1045]) ).
fof(f1047,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x4,x9),sep(lseg(x13,x2),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x13),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f23,f1046]) ).
fof(f1048,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x1,x6),sep(lseg(x4,x9),sep(lseg(x1,x5),sep(lseg(x15,x13),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f57,f1047]) ).
fof(f1049,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x9),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x15,x13),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f57,f1048]) ).
fof(f1050,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x13,x9),sep(lseg(x1,x5),sep(lseg(x1,x6),sep(lseg(x15,x13),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f1019,f1049]) ).
fof(f1051,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x13,x9),sep(lseg(x1,x6),sep(lseg(x15,x13),sep(lseg(x1,x5),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f57,f1050]) ).
fof(f1052,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x13,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x2,x15),sep(lseg(x15,x13),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f57,f1051]) ).
fof(f1053,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x13,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x13),sep(lseg(x2,x9),sep(lseg(x2,x15),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f57,f1052]) ).
fof(f1054,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x13,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x13),sep(lseg(x2,x15),sep(lseg(x9,x6),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f57,f1053]) ).
fof(f1055,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x13,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x13),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x7),sep(lseg(x9,x6),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f57,f1054]) ).
fof(f1056,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x13,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x13),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x8,x14),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f57,f1055]) ).
fof(f1057,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x13,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x13),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x1),sep(lseg(x8,x14),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f57,f1056]) ).
fof(f1058,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x13,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x13),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x15),sep(lseg(x8,x1),emp))))))))))))))))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f57,f1057]) ).
fof(f1059,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x13,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x13),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f22,f1058]) ).
fof(f1061,plain,
( x13 != x7
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f1019,f44]) ).
fof(f1063,plain,
( spl0_9
<=> x13 = x2 ),
introduced(split_symbol_definition) ).
fof(f1064,plain,
( x13 = x2
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f1063]) ).
fof(f1066,plain,
( spl0_10
<=> x13 = x9 ),
introduced(split_symbol_definition) ).
fof(f1067,plain,
( x13 = x9
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f1066]) ).
fof(f1069,plain,
( x13 = x2
| x13 = x9
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f1059,f236]) ).
fof(f1070,plain,
( spl0_9
| spl0_10
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f1069,f1063,f1066,f1018]) ).
fof(f2663,plain,
( spl0_14
<=> x6 = x4 ),
introduced(split_symbol_definition) ).
fof(f2664,plain,
( x6 = x4
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f2663]) ).
fof(f2673,plain,
( spl0_16
<=> x4 = x7 ),
introduced(split_symbol_definition) ).
fof(f2674,plain,
( x4 = x7
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f2673]) ).
fof(f2678,plain,
( $false
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f2664,f43]) ).
fof(f2679,plain,
~ spl0_14,
inference(contradiction_clause,[status(thm)],[f2678]) ).
fof(f2680,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x4),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp)))))))))))))))))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f1022,f1017]) ).
fof(f2681,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f23,f2680]) ).
fof(f2682,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x15),sep(lseg(x2,x4),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f1022,f2681]) ).
fof(f2683,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f572,f2682]) ).
fof(f2684,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x4,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f1022,f2683]) ).
fof(f2685,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x4),sep(lseg(x4,x6),sep(lseg(x2,x15),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f572,f2684]) ).
fof(f2686,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x4,x6),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f572,f2685]) ).
fof(f2687,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x4,x6),sep(lseg(x15,x4),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f572,f2686]) ).
fof(f2688,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x4,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f572,f2687]) ).
fof(f2689,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x13),sep(lseg(x4,x6),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f572,f2688]) ).
fof(f2690,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x6),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f572,f2689]) ).
fof(f2691,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x6),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x4,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f1022,f2690]) ).
fof(f2692,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x6),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x4),sep(lseg(x4,x7),sep(lseg(x2,x15),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f572,f2691]) ).
fof(f2693,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x6),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x4,x7),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f572,f2692]) ).
fof(f2694,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x6),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x4,x7),sep(lseg(x15,x4),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f572,f2693]) ).
fof(f2695,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x6),sep(lseg(x4,x13),sep(lseg(x1,x6),sep(lseg(x4,x7),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f572,f2694]) ).
fof(f2696,plain,
( heap(sep(lseg(x6,x2),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x4,x6),sep(lseg(x4,x13),sep(lseg(x4,x7),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x4),sep(lseg(x2,x4),sep(lseg(x2,x15),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f572,f2695]) ).
fof(f2705,plain,
( x4 = x6
| x4 = x13
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f2696,f313]) ).
fof(f2706,plain,
( spl0_14
| spl0_7
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f2705,f2663,f1018,f1021]) ).
fof(f2707,plain,
( x4 = x6
| x4 = x7
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f2696,f334]) ).
fof(f2708,plain,
( spl0_14
| spl0_16
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f2707,f2663,f2673,f1021]) ).
fof(f2710,plain,
( x4 != x13
| ~ spl0_10
| spl0_8 ),
inference(forward_demodulation,[status(thm)],[f1067,f1023]) ).
fof(f2711,plain,
( $false
| ~ spl0_10
| spl0_8
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f1019,f2710]) ).
fof(f2712,plain,
( ~ spl0_10
| spl0_8
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f2711]) ).
fof(f2714,plain,
( heap(sep(lseg(x6,x13),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x2),sep(lseg(x13,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x13),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_9
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f1064,f1059]) ).
fof(f2715,plain,
( heap(sep(lseg(x6,x13),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x13),sep(lseg(x13,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x13),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp))))))))))))))))
| ~ spl0_9
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f1064,f2714]) ).
fof(f2716,plain,
( heap(sep(lseg(x6,x13),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x13),sep(lseg(x2,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp)))))))))))))))
| ~ spl0_9
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f23,f2715]) ).
fof(f2717,plain,
( heap(sep(lseg(x6,x13),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x13),sep(lseg(x13,x15),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp)))))))))))))))
| ~ spl0_9
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f1064,f2716]) ).
fof(f2718,plain,
( heap(sep(lseg(x6,x13),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x13,x15),sep(lseg(x15,x13),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp)))))))))))))))
| ~ spl0_9
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f572,f2717]) ).
fof(f2719,plain,
( heap(sep(lseg(x6,x13),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x9),sep(lseg(x1,x6),sep(lseg(x13,x15),sep(lseg(x1,x5),sep(lseg(x15,x13),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp)))))))))))))))
| ~ spl0_9
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f572,f2718]) ).
fof(f2720,plain,
( heap(sep(lseg(x6,x13),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x9),sep(lseg(x13,x15),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x13),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp)))))))))))))))
| ~ spl0_9
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f572,f2719]) ).
fof(f2721,plain,
( heap(sep(lseg(x6,x13),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x15),sep(lseg(x13,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x13),sep(lseg(x2,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp)))))))))))))))
| ~ spl0_9
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f572,f2720]) ).
fof(f2722,plain,
( heap(sep(lseg(x6,x13),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x15),sep(lseg(x13,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x13),sep(lseg(x13,x9),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp)))))))))))))))
| ~ spl0_9
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f1064,f2721]) ).
fof(f2723,plain,
( heap(sep(lseg(x6,x13),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x15),sep(lseg(x13,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x13,x9),sep(lseg(x15,x13),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp)))))))))))))))
| ~ spl0_9
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f572,f2722]) ).
fof(f2724,plain,
( heap(sep(lseg(x6,x13),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x15),sep(lseg(x13,x9),sep(lseg(x1,x6),sep(lseg(x13,x9),sep(lseg(x1,x5),sep(lseg(x15,x13),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp)))))))))))))))
| ~ spl0_9
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f572,f2723]) ).
fof(f2725,plain,
( heap(sep(lseg(x6,x13),sep(lseg(x14,x8),sep(lseg(x3,x10),sep(lseg(x13,x15),sep(lseg(x13,x9),sep(lseg(x13,x9),sep(lseg(x1,x6),sep(lseg(x1,x5),sep(lseg(x15,x13),sep(lseg(x9,x6),sep(lseg(x9,x7),sep(lseg(x8,x14),sep(lseg(x8,x1),sep(lseg(x8,x15),emp)))))))))))))))
| ~ spl0_9
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f572,f2724]) ).
fof(f2730,plain,
( x13 = x9
| x13 = x9
| ~ spl0_9
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f2725,f313]) ).
fof(f2731,plain,
( spl0_10
| ~ spl0_9
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f2730,f1066,f1063,f1018]) ).
fof(f2732,plain,
( x13 = x7
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_demodulation,[status(thm)],[f1019,f2674]) ).
fof(f2733,plain,
( $false
| ~ spl0_7
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f2732,f1061]) ).
fof(f2734,plain,
( ~ spl0_7
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f2733]) ).
fof(f2735,plain,
$false,
inference(sat_refutation,[status(thm)],[f1025,f1070,f2679,f2706,f2708,f2712,f2731,f2734]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW436-1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Apr 29 23:23:55 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 2.76/0.73 % Refutation found
% 2.76/0.73 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.76/0.73 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.76/0.75 % Elapsed time: 0.406789 seconds
% 2.76/0.75 % CPU time: 3.117604 seconds
% 2.76/0.75 % Total memory used: 96.544 MB
% 2.76/0.75 % Net memory used: 93.754 MB
%------------------------------------------------------------------------------