%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW442-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 : Thu Sep 24 03:07:52 PM UTC 2026
% Result : Unsatisfiable 0.21s 5.57s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 96
% Number of leaves : 5
% Syntax : Number of formulae : 106 ( 101 unt; 0 def)
% Number of atoms : 114 ( 18 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 5 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 1 avg)
% Maximal term depth : 20 ( 4 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 17 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 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] :
( X = Z
| X = Y
| ~ heap(sep(lseg(X,Y),sep(lseg(X,Z),Sigma))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
x11 != x18,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,hypothesis,
heap(sep(lseg(x5,x14),sep(lseg(x13,x15),sep(lseg(x13,x12),sep(lseg(x13,x2),sep(lseg(x10,x11),sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x9,x15),sep(lseg(x7,x12),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,plain,
! [X0,X1,X2] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f43,plain,
! [X0,X1] : sep(lseg(X0,X0),X1) = X1,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f50,plain,
! [X,Z] :
( X = Z
| ! [Y] :
( X = Y
| ! [Sigma] : ~ heap(sep(lseg(X,Y),sep(lseg(X,Z),Sigma))) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( X0 = X2
| X0 = X1
| ~ heap(sep(lseg(X0,X1),sep(lseg(X0,X2),X3))) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f62,plain,
x11 != x18,
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f88,plain,
heap(sep(lseg(x5,x14),sep(lseg(x13,x15),sep(lseg(x13,x12),sep(lseg(x13,x2),sep(lseg(x10,x11),sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x9,x15),sep(lseg(x7,x12),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f90,plain,
heap(sep(lseg(x5,x14),sep(lseg(x13,x15),sep(lseg(x13,x12),sep(lseg(x13,x2),sep(lseg(x10,x11),sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(backward_demodulation,[status(thm)],[f42,f88]) ).
fof(f109,plain,
heap(sep(lseg(x5,x14),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x10,x11),sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f90]) ).
fof(f110,plain,
heap(sep(lseg(x5,x14),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x10,x11),sep(lseg(x13,x2),sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f109]) ).
fof(f111,plain,
heap(sep(lseg(x5,x14),sep(lseg(x13,x12),sep(lseg(x10,x11),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f110]) ).
fof(f112,plain,
heap(sep(lseg(x5,x14),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f111]) ).
fof(f113,plain,
heap(sep(lseg(x5,x14),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x18,x10),sep(lseg(x13,x2),sep(lseg(x18,x11),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f112]) ).
fof(f114,plain,
heap(sep(lseg(x5,x14),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x18,x10),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x18,x11),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f113]) ).
fof(f115,plain,
heap(sep(lseg(x5,x14),sep(lseg(x10,x11),sep(lseg(x18,x10),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x18,x11),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f114]) ).
fof(f116,plain,
heap(sep(lseg(x5,x14),sep(lseg(x18,x10),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x18,x11),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f115]) ).
fof(f117,plain,
heap(sep(lseg(x18,x10),sep(lseg(x5,x14),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x18,x11),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f116]) ).
fof(f118,plain,
heap(sep(lseg(x18,x10),sep(lseg(x5,x14),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x18,x11),sep(lseg(x13,x2),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f117]) ).
fof(f119,plain,
heap(sep(lseg(x18,x10),sep(lseg(x5,x14),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x18,x11),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f118]) ).
fof(f120,plain,
heap(sep(lseg(x18,x10),sep(lseg(x5,x14),sep(lseg(x10,x11),sep(lseg(x18,x11),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f119]) ).
fof(f121,plain,
heap(sep(lseg(x18,x10),sep(lseg(x5,x14),sep(lseg(x18,x11),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f120]) ).
fof(f122,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f121]) ).
fof(f123,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x1,x5),sep(lseg(x13,x2),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f122]) ).
fof(f124,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x1,x5),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f123]) ).
fof(f125,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x10,x11),sep(lseg(x1,x5),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f124]) ).
fof(f126,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x1,x5),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f125]) ).
fof(f127,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x1,x5),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x4,x15),sep(lseg(x13,x2),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f126]) ).
fof(f128,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x1,x5),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x4,x15),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f127]) ).
fof(f129,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x1,x5),sep(lseg(x10,x11),sep(lseg(x4,x15),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f128]) ).
fof(f130,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f129]) ).
fof(f131,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x4,x11),sep(lseg(x13,x2),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f130]) ).
fof(f132,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x4,x11),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f131]) ).
fof(f133,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x10,x11),sep(lseg(x4,x11),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f132]) ).
fof(f134,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f133]) ).
fof(f135,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x15,x16),sep(lseg(x13,x2),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f134]) ).
fof(f136,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x15,x16),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f135]) ).
fof(f137,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x10,x11),sep(lseg(x15,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f136]) ).
fof(f138,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x17,x10),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f137]) ).
fof(f139,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x17,x10),sep(lseg(x13,x2),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f138]) ).
fof(f140,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x17,x10),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f139]) ).
fof(f141,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x17,x10),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f140]) ).
fof(f142,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x17,x10),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f141]) ).
fof(f143,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x17,x10),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f142]) ).
fof(f144,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x17,x10),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f143]) ).
fof(f145,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x1,x5),sep(lseg(x17,x10),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f144]) ).
fof(f146,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f145]) ).
fof(f147,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x2,x16),sep(lseg(x13,x2),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f146]) ).
fof(f148,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x13,x12),sep(lseg(x2,x16),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f147]) ).
fof(f149,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f148]) ).
fof(f150,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x2,x6),sep(lseg(x13,x2),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f149]) ).
fof(f151,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x2,x6),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f150]) ).
fof(f152,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x16),sep(lseg(x2,x6),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f151]) ).
fof(f153,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f152]) ).
fof(f154,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x7,x12),sep(lseg(x13,x2),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f153]) ).
fof(f155,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x7,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f154]) ).
fof(f156,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x7,x12),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f155]) ).
fof(f157,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x7,x12),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f156]) ).
fof(f158,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x7,x12),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f157]) ).
fof(f159,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x7,x12),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f158]) ).
fof(f160,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x7,x12),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f159]) ).
fof(f161,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x7,x12),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f160]) ).
fof(f162,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x1,x5),sep(lseg(x7,x12),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f161]) ).
fof(f163,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x7,x12),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f162]) ).
fof(f164,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x7,x12),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x9,x15),sep(lseg(x13,x2),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f163]) ).
fof(f165,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x7,x12),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x9,x15),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f164]) ).
fof(f166,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x7,x12),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x9,x15),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f165]) ).
fof(f167,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x7,x12),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x9,x15),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f166]) ).
fof(f168,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x7,x12),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x9,x15),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f167]) ).
fof(f169,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x7,x12),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x9,x15),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f168]) ).
fof(f170,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x7,x12),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x9,x15),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f169]) ).
fof(f171,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x7,x12),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x9,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f170]) ).
fof(f172,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x7,x12),sep(lseg(x1,x5),sep(lseg(x9,x15),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f171]) ).
fof(f173,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x7,x13),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f172]) ).
fof(f174,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x7,x13),sep(lseg(x13,x2),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f173]) ).
fof(f175,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x7,x13),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f174]) ).
fof(f176,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x7,x13),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f175]) ).
fof(f177,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x7,x13),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f176]) ).
fof(f178,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x7,x13),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f177]) ).
fof(f179,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x7,x13),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f178]) ).
fof(f180,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x7,x13),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f179]) ).
fof(f181,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x7,x13),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f180]) ).
fof(f182,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x7,x13),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f181]) ).
fof(f183,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x7,x12),sep(lseg(x9,x15),sep(lseg(x7,x13),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f182]) ).
fof(f184,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x7,x12),sep(lseg(x7,x13),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x10,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f183]) ).
fof(f185,plain,
( x18 = x11
| x18 = x10 ),
inference(resolution,[status(thm)],[f184,f51]) ).
fof(f202,plain,
heap(sep(lseg(x18,x10),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x7,x12),sep(lseg(x7,x13),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x18,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(backward_demodulation,[status(thm)],[f204,f184]) ).
fof(f204,plain,
x18 = x10,
inference(forward_subsumption_resolution,[status(thm)],[f185,f62]) ).
fof(f205,plain,
heap(sep(lseg(x18,x18),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x7,x12),sep(lseg(x7,x13),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x18,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x11,x9),emp))))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f204,f202]) ).
fof(f206,plain,
heap(sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x10),sep(lseg(x7,x12),sep(lseg(x7,x13),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x18,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x11,x9),emp)))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f43,f205]) ).
fof(f207,plain,
heap(sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x18),sep(lseg(x7,x12),sep(lseg(x7,x13),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x18,x11),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x11,x9),emp)))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f204,f206]) ).
fof(f208,plain,
heap(sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x18),sep(lseg(x7,x12),sep(lseg(x7,x13),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x18,x11),sep(lseg(x15,x16),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x11,x9),emp)))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f207]) ).
fof(f209,plain,
heap(sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x18),sep(lseg(x7,x12),sep(lseg(x7,x13),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x18,x11),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x11,x9),emp)))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f208]) ).
fof(f210,plain,
heap(sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x18),sep(lseg(x7,x12),sep(lseg(x7,x13),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x18,x11),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x11,x9),emp)))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f209]) ).
fof(f211,plain,
heap(sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x18),sep(lseg(x7,x12),sep(lseg(x7,x13),sep(lseg(x9,x15),sep(lseg(x18,x11),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x11,x9),emp)))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f210]) ).
fof(f212,plain,
heap(sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x18),sep(lseg(x7,x12),sep(lseg(x7,x13),sep(lseg(x18,x11),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x11,x9),emp)))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f211]) ).
fof(f213,plain,
heap(sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x18),sep(lseg(x7,x12),sep(lseg(x18,x11),sep(lseg(x7,x13),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x11,x9),emp)))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f212]) ).
fof(f214,plain,
heap(sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x18),sep(lseg(x18,x11),sep(lseg(x7,x12),sep(lseg(x7,x13),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x11,x9),emp)))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f213]) ).
fof(f215,plain,
heap(sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x18,x11),sep(lseg(x17,x18),sep(lseg(x7,x12),sep(lseg(x7,x13),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x11,x9),emp)))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f214]) ).
fof(f216,plain,
heap(sep(lseg(x18,x11),sep(lseg(x18,x11),sep(lseg(x5,x14),sep(lseg(x17,x18),sep(lseg(x7,x12),sep(lseg(x7,x13),sep(lseg(x9,x15),sep(lseg(x1,x5),sep(lseg(x4,x15),sep(lseg(x4,x11),sep(lseg(x15,x16),sep(lseg(x2,x6),sep(lseg(x2,x16),sep(lseg(x13,x12),sep(lseg(x13,x15),sep(lseg(x13,x2),sep(lseg(x11,x9),emp)))))))))))))))))),
inference(forward_demodulation,[status(thm)],[f42,f215]) ).
fof(f217,plain,
( x18 = x11
| x18 = x11 ),
inference(resolution,[status(thm)],[f216,f51]) ).
fof(f218,plain,
x18 = x11,
inference(duplicate_literals_removal,[status(thm)],[f217]) ).
fof(f219,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f218,f62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW442-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/5.42 % Computer : n015.cluster.edu
% 0.17/5.42 % Model : x86_64 x86_64
% 0.17/5.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.42 % Memory : 8046.5625MB
% 0.17/5.42 % OS : Linux 6.8.0-71-generic
% 0.17/5.43 % CPULimit : 300
% 0.17/5.43 % WCLimit : 300
% 0.17/5.43 % DateTime : Mon Sep 21 09:56:41 UTC 2026
% 0.17/5.43 % CPUTime :
% 0.17/5.45 % Drodi V4.1.1
% 0.21/5.57 % Refutation found
% 0.21/5.57 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/5.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/5.60 % Elapsed time: 0.161051 seconds
% 0.21/5.60 % CPU time: 0.995171 seconds
% 0.21/5.60 % Total memory used: 121.121 MB
% 0.21/5.60 % Net memory used: 119.964 MB
%------------------------------------------------------------------------------